Conventions: On this page the tropical sum of two numbers is chosen to be their classical minimum and Gröbner fans are defined using initial forms with terms of minimal weight. Similarly, a subdivision of a polytope is induced from a lifting by taking the lower faces of the lifted polytope.

## Generic planes in tropical projective space TP6 (Click here for TP5)

This page is related to the paper: Herrmann, Jensen, Joswig, Sturmfels: How to Draw Tropical Planes, 2008.

A point on the tropical Grassmannian 3_7 defines a tropical plane in tropical projective space TP6. The coordinates of the point are the Plücker coordinates of the plane. The tropical Grassmannian is a finite union of polyhedral cones. It gets the structure of a polyhedral fan in two different ways:
• as a subcomplex of the secondary fan of the hypersimplex Delta(3,7)
• as a subcomplex of the Gröbner fan of the ideal generated by the classical Grassmann-Plücker relations for Gr(3,7).
The structure induced by the Gröbner fan is a refinement of the structure induced by the secondary fan. In fact with the sedondary fan structure the Grassmannian has f-vector:
(1,616,13860,101185,315070,431025,211365)
while with the Gröbner fan structure it has f-vector:
(1,721,16800,124180,386155,522585,252000)

Notice: The tropical Grassmannian parameterizes tropicalizations of planes but does not in general parameterize all tropical planes when the dimension of the ambient space gets big enough. They are parameterized by the Dressian Dr(3,n) (defined in How to Draw Tropical Planes). The Dressian comes with a natural polyhedral structure as a subfan of the secondary fan of Delta(3,n).

In the relative interior of a cone in the Grassmannian (with one of the above mentioned fan structures) the combinatorics of the defined tropical plane is fixed. Below the maximal cones in the tropical Grassmannian are listed up to symmetry. It is shown how each cone splits when passing from the polyhedral structure induced by the secondary fan to the one induced by the Gröbner fan. Following the table is an explanation of its columns. The table is valid for all characteristics of the field except 2. In this case the class of maximal cones with index 0 disappears.

 Secondary cone Gröbner cone Pict. Trees Bvector Orbit size Rvector Orbit size Rays Plücker coordinates P0 T0 0 0 0 0 6 210 6 0 0 0 0 0 210 (0,7,14,18,25,27) (0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1) P1 T1 0 0 0 2 5 1260 5 0 0 0 1 0 1260 (0,7,14,18,25,325) (2,1,1,0,0,1,1,0,0,3,1,1,1,1,2,2,3,1,1,1,3,2,0,0,1,1,2,3,0,0,1,1,1,2,3) P2 T2 0 0 0 2 5 1260 5 0 0 0 1 0 1260 (0,7,14,25,34,325) (3,1,1,0,0,1,1,0,0,3,1,1,1,1,2,2,2,1,1,1,3,2,0,0,1,1,2,3,0,0,1,1,1,2,3) P3 T3 0 0 1 1 4 2520 4 1 0 0 1 0 2520 (0,7,14,18,36,302) (1,1,1,1,2,0,2,0,1,0,3,2,0,1,2,0,3,0,1,0,4,2,0,1,2,1,2,4,1,2,3,2,3,4,4) P4 T4 0 0 1 1 4 2520 4 1 0 0 1 0 2520 (0,7,14,28,36,302) (1,1,1,1,2,0,3,0,1,0,3,2,0,1,2,0,2,0,1,0,4,2,0,1,2,1,2,4,1,2,3,2,3,4,4) P5 T5 0 0 1 1 4 2520 4 0 0 1 1 0 2520 (0,7,14,25,123,325) (2,1,1,0,0,1,1,0,0,3,1,1,1,1,3,3,2,2,2,1,4,3,0,0,2,1,3,4,0,0,2,1,1,3,4) P6 T6 0 0 1 1 4 5040 4 1 0 1 0 0 5040 (0,7,14,28,36,107) (0,0,0,0,0,0,1,0,0,0,1,2,0,0,1,0,0,0,0,1,3,2,1,1,2,0,1,3,0,0,1,2,2,3,3) P7 T7 0 0 1 2 4 5040 4 0 0 1 1 0 5040 (0,7,14,25,123,368) (0,0,1,1,2,1,2,0,1,3,0,1,1,2,3,2,0,3,2,0,4,2,1,2,3,1,2,4,0,1,2,0,1,2,4) P8 T8 0 0 1 2 4 5040 4 0 0 1 1 0 5040 (0,7,14,28,107,358) (1,1,0,0,2,1,3,2,2,0,0,3,1,1,1,1,0,0,2,3,4,3,2,2,2,0,0,4,1,1,1,2,2,2,4) P9 T9 0 0 1 2 4 2520 4 0 0 2 0 0 2520 (0,7,14,28,107,131) (0,0,0,0,0,1,2,0,1,1,0,2,0,1,0,0,0,0,0,1,2,1,1,2,1,1,0,3,0,1,0,1,2,1,3) P10 T10 0 0 2 0 3 2520 3 1 0 1 1 0 2520 (0,7,14,42,95,302) (1,1,1,1,2,0,3,0,2,0,3,1,0,2,1,0,3,0,2,0,4,1,0,2,1,3,2,5,3,5,4,2,4,3,5) P11 T11 0 0 2 0 3 630 3 0 0 2 1 0 630 (0,7,30,95,99,302) (1,1,1,1,3,0,3,0,1,0,3,1,0,1,1,0,3,0,1,0,3,1,0,1,1,3,3,5,3,4,4,3,4,4,5) 3 0 1 2 0 0 630 (0,7,30,90,95,99) (1,1,1,1,2,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,2,3,2,2,2,2,2,2,3) P12 T12 0 0 2 0 3 2520 3 1 1 1 0 0 2520 (0,7,31,37,90,96) (1,1,1,2,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0,2,0,1,0,1,0,2,1,3,1,2,1,2,3,2,3) P13 T13 0 0 2 1 3 5040 3 1 0 1 1 0 5040 (0,7,14,42,140,382) (0,2,2,3,0,1,2,0,3,3,2,1,2,2,0,0,3,1,2,2,4,0,3,3,1,2,0,4,4,4,2,2,2,0,5) P14 T14 0 0 2 1 3 5040 3 1 0 1 1 0 5040 (0,7,31,37,141,333) (2,0,2,4,0,1,3,2,1,2,0,3,2,2,0,0,2,3,0,3,1,2,3,3,1,2,0,4,2,2,0,4,4,2,5) P15 T15 0 0 2 1 3 5040 3 0 0 2 1 0 5040 (0,7,14,131,157,368) (0,0,2,2,3,2,3,0,2,3,0,2,2,4,3,1,0,3,1,0,4,1,2,4,3,2,1,4,0,2,1,0,2,1,5) P16 T16 0 0 2 1 3 5040 3 1 0 2 0 0 5040 (0,7,14,42,95,140) (0,1,1,1,0,0,1,0,1,1,2,0,1,1,0,0,1,0,1,1,3,0,1,1,0,2,1,3,3,3,2,2,2,1,4) P17 T17 0 0 2 1 3 5040 3 1 0 2 0 0 5040 (0,7,14,42,131,278) (1,1,0,1,0,2,2,1,2,1,1,1,0,2,0,1,1,1,1,0,2,0,0,2,0,3,1,4,1,3,1,0,2,0,3) P18 T18 0 0 2 1 3 5040 3 1 0 2 0 0 5040 (0,7,31,37,130,278) (1,1,0,2,0,1,0,1,0,1,1,1,0,2,0,2,1,1,1,2,1,2,0,2,0,3,1,4,0,2,0,1,3,1,3) P19 T19 0 0 2 1 3 2520 3 0 1 1 1 0 2520 (0,7,30,72,281,349) (3,3,1,1,4,2,0,0,2,2,2,2,2,0,0,2,0,0,2,3,3,2,2,0,0,1,1,4,3,1,1,3,1,1,4) P20 T20 0 0 2 1 3 2520 3 0 1 1 1 0 2520 (0,7,31,79,158,357) (1,1,3,4,3,2,2,0,0,2,0,0,2,2,2,2,3,0,0,3,0,0,2,2,2,3,3,4,1,1,1,1,1,1,4) P21 T21 0 0 2 1 3 2520 3 1 1 1 0 0 2520 (0,7,31,37,90,141) (2,1,2,3,1,0,1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,1,0,1,0,2,1,1,0,2,2,1,3) P22 T22 0 0 2 1 3 2520 3 1 1 1 0 0 2520 (0,7,31,37,90,278) (2,2,1,3,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,2,1,3,0,1,0,1,2,1,2) P23 T23 0 0 2 1 3 2520 3 0 1 2 0 0 2520 (0,7,31,79,130,158) (0,0,1,2,1,1,0,0,0,0,0,0,1,2,1,2,2,0,1,2,0,1,1,2,1,2,1,3,0,1,0,0,1,0,3) P24 T24 0 0 3 0 2 2520 2 1 1 1 1 0 2520 (0,7,46,72,281,398) (2,2,2,2,3,3,0,0,2,0,0,2,4,1,1,3,3,3,2,4,4,2,5,2,2,1,1,4,3,0,0,3,0,0,5) P25 T25 0 0 3 0 2 2520 2 1 1 1 1 0 2520 (0,19,41,70,298,379) (2,3,2,3,3,2,3,2,2,2,4,4,2,2,5,4,2,0,0,3,1,1,0,0,3,2,0,0,1,1,4,0,0,3,5) P26 T26 0 0 3 0 2 2520 2 0 1 2 1 0 2520 (0,7,72,140,281,349) (3,4,2,2,3,2,0,0,2,3,3,2,3,0,0,2,0,0,2,4,4,2,3,0,0,1,1,4,4,1,1,4,1,1,5) P27 T27 0 0 3 0 2 2520 2 2 1 1 0 0 2520 (0,19,35,64,70,116) (1,2,0,0,0,2,1,1,1,1,1,1,1,1,2,3,0,0,0,1,1,1,2,2,3,1,1,1,1,1,2,2,2,3,5) P28 T28 0 0 3 0 2 2520 2 1 1 2 0 0 2520 (0,7,46,72,107,281) (1,1,1,1,1,1,0,0,1,0,0,2,2,0,0,1,1,1,1,3,3,2,4,2,2,0,0,3,2,0,0,3,1,1,4) P29 T29 0 0 3 0 2 2520 2 2 1 1 0 0 2520 (0,7,46,64,72,107) (1,1,1,1,0,2,1,1,1,1,1,2,2,0,0,1,1,1,0,2,2,1,4,2,2,1,1,3,2,0,0,3,1,1,4) P30 T30 0 0 3 0 2 2520 2 1 1 2 0 0 2520 (0,7,46,72,140,281) (1,2,2,2,1,1,0,0,1,1,1,1,3,0,0,1,1,1,1,3,3,1,4,1,1,0,0,2,3,0,0,3,0,0,4) P31 T31 0 0 3 0 2 2520 2 1 1 2 0 0 2520 (0,7,46,72,140,286) (1,2,3,3,1,1,0,0,1,1,1,1,3,0,0,1,1,1,1,2,2,1,4,1,1,0,0,2,3,0,0,3,0,0,4) P32 T32 0 0 3 0 2 2520 2 2 0 2 0 0 2520 (0,7,46,64,107,124) (1,1,1,1,0,3,1,2,2,1,2,3,1,0,1,1,1,1,0,2,2,1,3,2,3,1,2,4,1,0,1,2,1,2,4) P33 T33 0 0 3 0 2 630 2 2 2 0 0 0 630 (0,19,35,63,70,79) (1,1,0,0,0,2,0,0,0,0,0,0,1,1,2,4,1,1,1,1,1,1,1,1,2,2,2,2,1,1,2,1,1,2,4) P34 T34 0 0 3 0 2 1260 2 2 2 0 0 0 1260 (0,19,35,64,70,79) (1,1,0,0,0,3,1,1,1,1,1,1,1,1,2,3,0,0,0,0,0,0,1,1,2,2,2,2,1,1,2,1,1,2,4) P35 T35 0 0 3 0 2 1260 2 1 2 1 0 0 1260 (0,7,46,72,79,286) (1,1,2,2,1,2,0,0,1,0,0,1,2,0,0,2,1,1,1,1,1,1,3,1,1,1,1,3,2,0,0,2,0,0,3) P36 T36 0 0 3 0 2 1260 2 1 2 1 0 0 1260 (0,19,41,70,79,300) (1,1,1,2,2,2,1,1,1,1,1,1,1,1,3,3,1,0,0,1,0,0,0,0,2,2,1,1,0,0,2,0,0,2,3) P37 T37 0 0 3 0 2 630 2 2 2 0 0 0 630 (0,7,46,64,72,79) (1,1,1,1,0,3,1,1,1,1,1,1,2,0,0,2,1,1,0,1,1,0,3,1,1,2,2,3,2,0,0,2,0,0,3) P38 T38 0 0 3 0 2 630 2 0 2 2 0 0 630 (0,19,70,79,161,300) (1,1,2,2,2,2,2,0,0,2,0,0,1,1,2,3,1,0,0,1,0,0,1,1,2,2,1,1,0,0,1,0,0,1,3) P39 T39 0 0 3 0 3 630 3 0 2 0 1 0 630 (0,7,30,72,79,398) (1,1,1,1,3,3,0,0,1,0,0,1,3,1,1,3,2,2,1,2,2,1,3,1,1,2,2,4,2,0,0,2,0,0,4) P40 T40 0 0 3 0 3 630 3 0 2 0 1 0 630 (0,7,31,79,90,357) (2,2,3,4,3,2,2,0,0,2,0,0,1,1,1,2,2,0,0,2,0,0,1,1,1,3,3,4,1,1,1,1,1,1,3) P41 T41 0 0 3 0 3 2520 3 0 1 2 0 0 2520 (0,7,31,79,130,278) (1,1,0,2,0,2,0,1,0,0,1,0,0,1,0,3,1,1,1,1,1,1,0,1,0,3,2,4,0,1,0,0,1,0,2) P42 T42 0 0 3 0 3 105 3 0 2 0 0 1 315 (0,7,30,72,79,622) (1,1,1,1,3,2,-1,-1,0,-1,-1,0,2,0,0,2,-1,-1,0,-1,-1,0,2,0,0,2,2,4,2,0,0,2,0,0,4) P43 T43 0 0 3 0 3 1260 3 0 2 1 0 0 1260 (0,7,31,79,90,278) (2,2,1,3,1,2,0,1,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,2,2,3,0,0,0,0,0,0,1) P44 T44 0 0 3 0 3 1680 3 0 0 3 0 0 1680 (0,7,14,131,157,278) (1,1,1,2,1,2,1,1,1,1,1,1,1,2,1,1,0,2,0,0,3,0,1,2,1,2,1,3,0,1,0,0,1,0,3) P45 T45 0 1 0 1 3 2520 3 1 0 1 1 0 2520 (0,7,14,36,95,302) (1,1,1,1,2,0,2,0,1,0,4,2,0,1,2,0,2,0,1,0,5,2,0,1,2,2,3,5,2,3,4,3,4,5,5) P46 T46 0 1 0 2 3 5040 3 1 0 1 1 0 5040 (0,7,14,42,131,382) (0,1,1,2,0,2,3,0,4,3,1,2,1,3,0,0,3,1,2,1,3,0,2,4,1,3,0,5,3,5,2,1,3,0,5) P47 T47 0 1 0 2 3 5040 3 1 0 1 1 0 5040 (0,7,31,37,130,334) (1,0,1,3,0,0,1,2,0,3,1,2,2,4,1,2,3,1,2,3,0,4,1,3,0,3,0,5,1,3,0,3,5,2,5) P48 T48 0 1 0 2 3 5040 3 0 0 2 1 0 5040 (0,7,14,95,140,349) (2,3,2,2,2,1,0,0,1,3,4,1,2,0,0,1,0,0,1,3,5,1,2,0,0,2,2,4,4,2,2,4,2,2,5) P49 T49 0 1 1 0 2 1260 2 1 0 2 1 0 1260 (0,7,36,95,99,302) (1,1,1,1,2,0,3,0,1,0,4,2,0,1,2,0,3,0,1,0,4,2,0,1,2,3,4,6,3,4,5,4,5,6,6) 2 1 1 2 0 0 1260 (0,7,36,90,95,99) (1,1,1,1,1,0,1,0,0,0,2,1,0,0,1,0,1,0,0,0,2,1,0,0,1,2,3,4,2,2,3,3,3,4,4) P50 T50 0 1 1 1 2 5040 2 1 0 2 1 0 5040 (0,7,46,107,141,315) (2,0,4,3,0,1,2,3,1,0,1,3,3,0,1,0,4,3,0,3,4,2,6,3,4,0,1,4,3,0,1,5,2,3,6) P51 T51 0 1 1 1 2 5040 2 1 0 2 1 0 5040 (0,7,36,107,141,315) (2,0,3,2,0,1,2,3,1,0,2,4,2,0,2,0,3,2,0,2,4,3,4,2,4,0,2,5,2,0,2,5,3,5,6) P52 T52 0 1 1 1 2 5040 2 1 0 2 1 0 5040 (0,7,46,107,124,315) (1,0,3,2,0,2,1,3,2,0,2,4,2,0,2,0,3,2,0,3,4,2,5,3,5,0,2,5,2,0,2,4,2,4,6) P53 T53 0 1 1 1 2 2520 2 0 0 3 1 0 2520 (0,7,107,281,285,358) (3,3,0,0,4,3,3,3,4,0,0,5,1,1,1,3,0,0,4,4,4,5,2,2,2,0,0,6,1,1,1,2,2,2,4) 2 0 1 3 0 0 2520 (0,7,72,107,281,285) (2,2,0,0,2,2,1,1,2,0,0,3,1,0,0,2,0,0,2,2,2,3,2,1,1,0,0,4,1,0,0,2,1,1,3) P54 T54 0 1 1 1 2 2520 2 1 1 1 1 0 2520 (0,7,46,79,157,398) (1,1,3,3,3,3,0,0,1,0,0,1,4,2,2,3,3,4,1,3,4,1,5,3,3,2,2,4,2,0,0,2,0,0,5) P55 T55 0 1 1 1 2 2520 2 1 1 1 1 0 2520 (0,19,41,79,159,381) (1,1,3,3,3,3,1,3,4,1,3,4,3,3,5,4,1,0,0,1,0,0,2,2,4,3,2,2,0,0,2,0,0,2,5) P56 T56 0 1 1 1 2 2520 2 0 1 2 1 0 2520 (0,7,90,95,140,349) (3,4,3,3,3,1,0,0,1,3,4,1,2,0,0,1,0,0,1,3,4,1,2,0,0,2,2,4,4,2,2,4,2,2,5) P57 T57 0 1 1 1 2 2520 2 1 1 2 0 0 2520 (0,7,36,90,99,141) (2,1,2,2,1,0,2,1,0,0,1,1,1,0,1,0,2,1,0,0,1,1,1,0,1,1,2,3,2,1,2,3,2,3,4) P58 T58 0 1 1 1 2 2520 2 1 1 2 0 0 2520 (0,7,46,79,124,158) (0,0,2,2,1,2,0,1,1,0,1,1,2,1,2,1,2,1,0,2,1,0,3,2,3,1,2,3,1,0,1,1,0,1,4) P59 T59 0 1 1 1 2 2520 2 1 1 2 0 0 2520 (0,19,41,79,130,160) (0,0,1,2,2,1,0,2,1,0,2,1,2,3,3,3,1,0,1,1,0,1,1,2,2,2,1,2,0,1,1,0,1,1,4) P60 T60 0 1 2 0 1 2520 1 1 1 2 1 0 2520 (0,36,70,123,279,325) (3,2,2,0,0,2,2,0,0,3,2,2,1,1,5,4,3,2,2,2,4,4,0,0,4,2,5,5,0,0,4,2,2,6,6) P61 T61 0 1 2 0 1 2520 1 1 1 2 1 0 2520 (0,63,79,123,156,380) (2,2,3,2,2,4,1,0,0,1,0,0,2,2,4,6,2,4,5,2,4,5,2,2,4,4,4,4,0,0,2,0,0,2,5) P62 T62 0 1 2 0 1 2520 1 1 1 2 1 0 2520 (0,63,70,123,279,325) (4,3,2,0,0,3,2,0,0,3,1,1,1,1,4,6,4,3,3,3,4,4,0,0,3,3,5,5,0,0,3,1,1,4,5) P63 T63 0 1 2 0 1 1260 1 0 1 3 1 0 1260 (0,79,156,277,286,355) (3,3,4,4,5,4,0,0,4,0,0,4,2,2,2,4,0,0,5,0,0,5,2,2,2,4,4,5,1,1,1,1,1,1,4) 1 0 2 3 0 0 1260 (0,72,79,156,277,286) (2,2,2,2,3,3,0,0,2,0,0,2,2,1,1,3,0,0,3,0,0,3,2,1,1,2,2,3,1,0,0,1,0,0,3) P64 T64 0 1 2 0 1 1260 1 2 2 1 0 0 1260 (0,35,63,70,79,162) (2,2,1,1,1,2,0,0,0,0,0,0,2,2,3,3,1,1,1,1,1,1,2,2,3,2,2,2,1,1,2,1,1,2,5) P65 T65 0 1 2 0 1 1260 1 1 2 2 0 0 1260 (0,36,70,84,119,298) (2,1,2,0,0,1,2,0,0,2,3,3,1,1,3,2,2,1,1,1,1,1,0,0,2,1,1,1,0,0,2,2,2,4,4) P66 T66 0 1 2 0 1 1260 1 2 2 1 0 0 1260 (0,36,69,70,84,119) (3,1,2,1,1,1,2,1,1,1,2,2,1,1,3,2,2,2,2,0,1,1,0,0,2,0,1,1,0,0,2,2,2,4,4) P67 T67 0 1 2 0 1 1260 1 1 2 2 0 0 1260 (0,63,70,79,158,279) (2,2,2,1,1,3,1,0,0,1,0,0,1,1,2,4,3,1,1,3,1,1,1,1,2,3,3,3,0,0,1,0,0,1,3) P68 T68 0 1 2 0 1 1260 1 1 2 2 0 0 1260 (0,63,70,79,162,279) (3,3,2,1,1,3,1,0,0,1,0,0,1,1,2,4,2,1,1,2,1,1,1,1,2,3,3,3,0,0,1,0,0,1,3) P69 T69 0 1 2 0 1 2520 1 2 1 2 0 0 2520 (0,36,69,84,119,134) (4,1,3,1,2,1,3,1,2,1,2,2,1,2,2,2,3,2,3,0,1,1,0,1,1,0,1,1,0,1,1,2,3,3,4) P70 T70 0 1 2 0 2 1260 2 1 2 0 1 0 1260 (0,7,46,72,79,398) (1,1,2,2,2,3,0,0,1,0,0,1,4,1,1,3,3,3,1,3,3,1,5,2,2,2,2,4,3,0,0,3,0,0,5) P71 T71 0 1 2 0 2 1260 2 1 2 0 1 0 1260 (0,19,41,70,79,381) (1,1,2,2,2,3,1,3,3,1,3,3,2,2,5,4,1,0,0,1,0,0,1,1,4,3,2,2,0,0,3,0,0,3,5) P72 T72 0 1 2 0 2 2520 2 1 1 2 0 0 2520 (0,7,46,72,107,141) (1,0,2,2,0,0,1,1,0,0,0,1,3,0,0,0,2,2,0,2,2,1,5,2,2,0,0,2,3,0,0,4,1,1,5) P73 T73 0 1 2 0 2 1260 2 0 2 1 1 0 1260 (0,7,72,90,140,349) (3,4,3,3,3,1,0,0,1,3,3,1,3,0,0,1,0,0,1,3,3,1,3,0,0,1,1,3,4,1,1,4,1,1,5) P74 T74 0 1 2 0 2 1260 2 1 2 1 0 0 1260 (0,19,35,70,79,100) (0,0,0,0,0,2,0,0,0,0,0,0,1,1,2,3,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,2,2,3,5) P75 T75 0 1 2 0 2 630 2 0 2 1 0 1 630 (0,7,72,90,162,622) (3,3,3,3,4,1,-1,-1,0,-1,-1,0,3,1,1,1,-1,-1,0,-1,-1,0,3,1,1,1,1,3,2,0,0,2,0,0,5) 2 0 2 1 0 1 630 (0,7,72,79,162,622) (2,2,2,2,3,2,-1,-1,0,-1,-1,0,3,1,1,2,-1,-1,0,-1,-1,0,3,1,1,2,2,4,2,0,0,2,0,0,5) 2 0 2 1 0 1 630 (0,7,79,90,162,622) (3,3,3,3,4,2,-1,-1,0,-1,-1,0,2,1,1,2,-1,-1,0,-1,-1,0,2,1,1,2,2,4,1,0,0,1,0,0,4) P76 T76 0 1 2 0 2 2520 2 0 1 3 0 0 2520 (0,7,72,107,141,285) (2,1,1,1,1,1,2,2,1,0,0,2,2,0,0,1,1,1,1,1,1,2,3,1,1,0,0,3,2,0,0,3,1,1,4) P77 T77 0 1 2 0 2 1260 2 0 2 2 0 0 1260 (0,19,70,79,100,300) (1,1,1,1,1,3,1,0,0,1,0,0,0,0,1,4,1,0,0,1,0,0,0,0,1,3,2,2,1,1,2,1,1,2,3) P78 T78 0 1 2 0 2 1260 2 0 2 2 0 0 1260 (0,7,72,90,140,286) (2,3,3,3,2,1,0,0,1,1,1,1,2,0,0,1,0,0,1,1,1,1,2,0,0,0,0,2,2,0,0,2,0,0,3) P79 T79 0 2 0 1 1 2520 1 1 0 3 1 0 2520 (0,36,94,99,141,311) (2,1,2,3,1,0,4,2,0,0,2,4,2,0,2,0,4,2,0,0,2,4,2,0,2,3,5,4,5,3,5,6,4,6,7) 1 1 1 3 0 0 2520 (0,36,90,94,99,141) (2,1,2,2,1,0,2,1,0,0,1,2,1,0,1,0,2,1,0,0,1,2,1,0,1,2,3,3,3,2,3,4,3,4,5) P80 T80 0 2 1 0 0 1260 0 1 1 3 1 0 1260 (35,70,91,100,204,330) (2,2,3,1,1,4,2,0,0,2,0,0,2,2,5,4,2,0,0,2,0,0,2,2,5,5,3,3,5,5,5,6,6,5,7) 0 1 2 3 0 0 1260 (35,70,90,91,100,204) (2,2,2,1,1,2,1,0,0,1,0,0,1,1,3,2,1,0,0,1,0,0,1,1,3,3,2,2,3,3,4,4,4,4,5) P81 T81 0 2 1 0 0 630 0 2 2 2 0 0 630 (35,63,70,79,162,297) (3,3,2,1,1,3,1,0,0,1,0,0,3,3,3,4,2,1,1,2,1,1,2,2,3,3,2,2,1,1,2,1,1,2,4) P82 T82 0 2 1 0 1 1260 1 1 2 1 1 0 1260 (0,63,70,79,123,380) (2,2,2,1,1,4,1,0,0,1,0,0,1,1,4,6,2,4,4,2,4,4,1,1,4,4,4,4,0,0,3,0,0,3,5) P83 T83 0 2 1 0 1 315 1 0 2 2 1 0 315 (0,79,90,277,286,355) (4,4,4,4,5,4,0,0,4,0,0,4,1,1,1,4,0,0,4,0,0,4,1,1,1,4,4,5,1,1,1,1,1,1,3) 1 0 2 2 0 1 315 (0,79,90,277,286,622) (4,4,3,3,5,4,-1,-1,2,-1,-1,2,1,0,0,4,-1,-1,2,-1,-1,2,1,0,0,3,3,5,1,0,0,1,0,0,3) 1 0 2 2 0 1 630 (0,72,79,277,286,622) (3,3,2,2,4,4,-1,-1,2,-1,-1,2,2,0,0,4,-1,-1,2,-1,-1,2,2,0,0,3,3,5,2,0,0,2,0,0,4) P84 T84 0 2 1 0 1 1260 1 1 2 2 0 0 1260 (0,63,70,79,123,279) (2,2,1,0,0,3,1,0,0,1,0,0,0,0,2,5,2,2,2,2,2,2,0,0,2,3,4,4,0,0,2,0,0,2,3) P85 T85 0 2 1 0 1 630 1 0 2 2 0 1 630 (0,79,90,100,286,622) (3,3,3,3,4,4,-1,-1,1,-1,-1,1,1,0,0,4,-1,-1,1,-1,-1,1,1,0,0,3,3,5,2,1,1,2,1,1,4) 1 0 2 2 0 1 630 (0,72,79,100,286,622) (2,2,2,2,3,4,-1,-1,1,-1,-1,1,2,0,0,4,-1,-1,1,-1,-1,1,2,0,0,3,3,5,3,1,1,3,1,1,5) 1 0 2 2 0 1 630 (0,72,90,100,286,622) (3,3,3,3,4,3,-1,-1,1,-1,-1,1,2,0,0,3,-1,-1,1,-1,-1,1,2,0,0,2,2,4,3,1,1,3,1,1,5) P86 T86 0 2 1 0 1 1260 1 0 2 3 0 0 1260 (0,70,79,123,161,279) (1,1,2,1,1,2,2,0,0,2,0,0,1,1,3,3,1,1,1,1,1,1,1,1,3,2,3,3,0,0,2,0,0,2,4) P87 T87 0 3 0 0 0 210 0 0 2 3 0 1 630 (70,75,91,204,259,628) (4,3,3,2,2,1,1,1,1,3,-1,-1,-1,-1,4,1,1,1,1,3,-1,-1,-1,-1,4,5,1,1,1,1,5,4,4,3,3) P88 T88 1 0 0 2 2 2520 2 1 0 1 2 0 5040 (0,7,36,107,315,324) (3,1,3,1,0,3,3,3,2,1,4,6,1,0,3,1,3,1,0,4,5,4,4,3,6,1,4,7,1,0,3,5,4,7,7) 2 0 0 2 2 0 2520 (0,7,107,124,315,324) (3,1,3,1,0,4,3,4,3,1,4,6,1,0,3,1,3,1,0,4,4,3,4,3,6,1,4,7,1,0,3,4,3,6,7) P89 T89 1 0 1 1 1 2520 1 1 0 2 2 0 2520 (0,36,94,99,311,320) (3,3,3,3,2,1,4,1,0,1,4,6,1,0,3,1,4,1,0,1,4,6,1,0,3,5,6,5,5,4,7,6,5,8,8) 1 1 0 2 2 0 2520 (0,36,99,126,311,320) (3,4,3,4,3,1,4,1,0,1,5,6,1,0,4,1,4,1,0,1,5,6,1,0,4,4,5,4,4,3,7,5,4,8,8) 1 0 0 3 2 0 2520 (0,94,99,126,311,320) (3,4,3,4,3,1,4,1,0,1,4,6,1,0,3,1,4,1,0,1,4,6,1,0,3,5,5,4,5,4,7,5,4,7,8) 1 1 1 2 1 0 2520 (0,36,90,94,99,320) (3,3,3,2,2,1,2,0,0,1,3,4,0,0,2,1,2,0,0,1,3,4,0,0,2,4,4,4,3,3,5,4,4,6,6) 1 0 1 3 1 0 2520 (0,90,94,99,126,320) (3,4,3,3,3,1,2,0,0,1,3,4,0,0,2,1,2,0,0,1,3,4,0,0,2,4,3,3,3,3,5,3,3,5,6) P90 T90 1 0 2 0 0 630 0 1 0 3 2 0 1260 (35,91,100,162,330,339) (4,4,4,4,3,4,1,1,0,1,1,0,5,4,7,4,1,1,0,1,1,0,5,4,7,5,5,4,6,7,5,6,7,5,9) 0 0 0 4 2 0 630 (91,100,132,162,330,339) (4,4,5,5,4,4,1,1,0,1,1,0,5,4,7,4,1,1,0,1,1,0,5,4,7,5,5,4,5,7,4,5,7,4,8) 0 1 1 3 1 0 1260 (35,79,100,132,162,330) (2,2,4,3,3,4,1,0,0,1,0,0,4,4,5,4,1,0,0,1,0,0,4,4,5,4,3,3,4,5,3,4,5,3,7) 0 0 1 4 1 0 1260 (79,91,100,132,162,330) (2,2,4,3,3,4,1,0,0,1,0,0,3,3,5,4,1,0,0,1,0,0,3,3,5,5,4,4,4,5,3,4,5,3,6) 0 0 2 4 0 0 630 (79,90,91,100,132,162) (2,2,3,3,3,2,0,0,0,0,0,0,2,2,3,2,0,0,0,0,0,0,2,2,3,3,3,3,2,3,2,2,3,2,4) P91 T91 1 0 2 0 1 1260 1 1 1 2 1 0 1260 (0,36,70,99,126,320) (2,3,2,2,2,1,2,0,0,1,4,4,0,0,4,1,2,0,0,1,4,4,0,0,4,3,3,3,2,2,6,3,3,7,7) 1 1 2 1 1 0 1260 (0,36,70,90,99,320) (3,3,3,2,2,1,2,0,0,1,3,3,0,0,3,1,2,0,0,1,3,3,0,0,3,3,3,3,2,2,5,3,3,6,6) 1 0 2 2 1 0 1260 (0,70,90,99,126,320) (3,4,3,3,3,1,2,0,0,1,3,3,0,0,3,1,2,0,0,1,3,3,0,0,3,3,2,2,2,2,5,2,2,5,6) P92 T92 1 0 2 0 1 315 1 1 2 2 0 0 630 (0,35,70,79,100,162) (1,1,1,1,1,2,0,0,0,0,0,0,2,2,3,2,0,0,0,0,0,0,2,2,3,2,2,2,2,2,3,2,2,3,6) 1 0 2 2 0 1 630 (0,70,79,100,162,616) (2,2,3,2,2,3,0,-1,-1,0,-1,-1,1,1,3,3,0,-1,-1,0,-1,-1,1,1,3,4,3,3,1,1,3,1,1,3,6) 1 0 2 2 0 1 315 (0,79,90,100,162,616) (3,3,4,3,3,3,0,-1,-1,0,-1,-1,1,1,2,3,0,-1,-1,0,-1,-1,1,1,2,4,3,3,1,1,2,1,1,2,5) P93 T93 1 1 1 0 0 630 0 1 1 3 1 0 630 (35,70,91,100,162,330) (2,2,3,2,2,3,1,0,0,1,0,0,3,3,6,3,1,0,0,1,0,0,3,3,6,4,3,3,5,5,5,5,5,5,8) 0 1 2 2 1 0 630 (35,70,79,100,162,330) (2,2,3,2,2,4,1,0,0,1,0,0,3,3,5,4,1,0,0,1,0,0,3,3,5,4,3,3,4,4,4,4,4,4,7) 0 0 2 3 1 0 630 (70,79,91,100,162,330) (2,2,3,2,2,4,1,0,0,1,0,0,2,2,5,4,1,0,0,1,0,0,2,2,5,5,4,4,4,4,4,4,4,4,6) 0 1 2 3 0 0 630 (35,70,90,91,100,162) (2,2,2,2,2,1,0,0,0,0,0,0,2,2,4,1,0,0,0,0,0,0,2,2,4,2,2,2,3,3,4,3,3,4,6) 0 0 2 3 0 1 630 (70,79,91,100,162,616) (2,2,3,2,2,3,0,-1,-1,0,-1,-1,1,1,4,3,0,-1,-1,0,-1,-1,1,1,4,5,4,4,2,2,4,2,2,4,6) 0 0 2 3 0 1 630 (70,90,91,100,162,616) (3,3,4,3,3,2,0,-1,-1,0,-1,-1,1,1,4,2,0,-1,-1,0,-1,-1,1,1,4,4,3,3,2,2,4,2,2,4,6) 0 0 2 3 0 1 630 (79,90,91,100,162,616) (3,3,4,3,3,3,0,-1,-1,0,-1,-1,1,1,3,3,0,-1,-1,0,-1,-1,1,1,3,5,4,4,2,2,3,2,2,3,5)

### Column "Picture"

The picture is a schematic drawing of the bounded part of the tropical linear space in TP6. Each vertex in the picture is dual to a face of the hypersimplex subdivision associated to the secondary cone. Such face is the polytope of a matroid on {1,2,3,4,5,6,7}. The text string attached to each vertex describes its matroid. There are four different kinds of text strings. The notation is as follows:
• "{A,B,C,D}"
where A,B,C and D are subsets of {1,2,3,4,5,6,7}. The matroid is the graphical matroid given by the multi-graph of a four cycle with edge repeated and named according to the four sets. Notice that the ordering of the sets is unimportant.
Example:
Matroid for "{1234,5,6,7}"
 5 6 7 4 6 7 4 5 7 4 5 6 3 6 7 3 5 7 3 5 6 2 6 7 2 5 7 2 5 6 1 6 7 1 5 7 1 5 6
GraphBases
We remind the reader that we go from a graph to a matroid by letting every spanning tree define a basis.
• "[A,B;C,D](E)"
where A, B, C, D and E are subsets of {1,2,3,4,5,6,7}. The matroid is the graphical matroid given by a four cycle with a diagonal edge. Edges are repeated and named acoording to A, B, C, D and E. Here E corresponds to the diagonal edge while (A,B) and (C,D) correspond to the two paths connecting the two valency three vertices.
Example
Matroid for "[1,5;23,67](4)"
 4 5 7 4 5 6 3 5 7 3 5 6 3 4 5 2 5 7 2 5 6 2 4 5 1 5 7 1 5 6 1 4 7 1 4 6 1 3 7 1 3 6 1 3 5 1 3 4 1 2 7 1 2 6 1 2 5 1 2 4
• "<A;a;(b,c,d,e)>"
where A is a subset and a,b,c,d and e are elements of {1,2,3,4,5,6,7}. The matroid is the graphical matroid given by the complete graph on four vertices with one edge repeated and named according to A and its opposite edge named a. The remaining four edges form a cycle with names b, c, d and e. Our convention for writing down this cycle is that edges a,b and c all share a vertex.
Example:
Matroid for "<15;4;(2,3,7,6)>"
 4 6 7 4 5 7 4 5 6 3 6 7 3 5 7 3 5 6 3 4 6 3 4 5 2 6 7 2 5 7 2 5 6 2 4 7 2 4 5 2 3 7 2 3 6 2 3 4 1 4 7 1 4 6 1 3 7 1 3 6 1 3 4 1 2 7 1 2 6 1 2 4
GraphBases
• "Non-Fano Matroid"
This text string represents a non-Fano matroid. It only appears once in our drawings and is the matroid of the affine point configuration given below.
 4 6 7 4 5 7 4 5 6 3 6 7 3 5 7 3 5 6 3 4 6 3 4 5 2 6 7 2 5 7 2 5 6 2 4 7 2 4 5 2 3 7 2 3 6 2 3 4 1 6 7 1 5 7 1 5 6 1 4 7 1 4 6 1 3 7 1 3 5 1 3 4 1 2 7 1 2 6 1 2 5 1 2 4 1 2 3
Affine point configurationBases

### Column "B-vector"

This vector indicates the number hexagons, pentagons, quadrangles, triangles and edges not contained in any 2-face, respectively, in the bounded part of the tropical linear space.

### Column "Orbit size"

The tropical Grassmannian Gr(3,7) is invariant under certain permutations of its coordinates. Choosing any permutation of the columns of a 3x7 matrix whose determinants are the Plücker coordinates will keep the tropical Grassmannian fixed. The order of this symmetry group is 5040. The list above contains all maximal cones up to this symmetry. The orbit size is the the size of the orbit of the Gröbner/secondary cone under this symmetry.

### Column "Plücker coordinates"

A relative interior point of the Gröbner cone. The ordering of the Plücker coordinates are as follows: (p123, p124, p125, p126, p127, p134, p135, p136, p137, p145, p146, p147, p156, p157, p167, p234, p235, p236, p237, p245, p246, p247, p256, p257, p267, p345, p346, p347, p356, p357, p367, p456, p457, p467, p567) .
The point is also a relative interior point of the cone of the secondary fan and thus as a lifting function it induces a subdivsion of the hypersimplex. This subdivision is combinatorially dual to the tropical linear space.

### Column "Rays"

The extreme rays of the Gröbner fan have been assigned indices according to the list below. In this list the rays are grouped according to their orbit. In total there are six rays up to symmetry. The "rays" column of the table above contains the indices for the extreme rays of the Gröbner cone of that row. Notice that the fan has a lineality space of dimension 7 and that the coordiantes of the rays should be considered modulo this space.

### Column "R-vector"

Each Gröbner cone is spanned by a set of extreme rays in the list below. These rays are grouped according to orbit. The R-vector describes how many rays from each orbit is needed to span the Gröbner cone.

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1 -1 -1 720 0 -1 -1 1 1 0 0 0 2 1 -1 1 -1 1 1 0 0 2 0 1 1 -1 1 -1 1 2 0 0 0 0 0 1 1 -1 -1

## Trees

The Trees column contains a link to a row of the table below. Intersecting the tropical plane with each of the 7 classical hyperplanes at infinity we get 7 trees. The leaves of such a tree go off in the remaining 6 infinity directions and get names accordingly. The trees are incoded as text strings. There are two types of trees.
• A caterpillar tree is represented by a string of the form C(ab,...,yz) where the leaves ab and the leaves yz form cherries. The dots describes the leaves in between in order from ab to yz. Here the letters are all names of vertices of the tree, that is, numbers between 1 and 7.
• A snowflake tree is the unique tree with all interior vertices tri-valent, with 6 leaves and with 3 cherries. It is represented by a string of the form C(ab,cd,ef) where the leaves ab, the leaves cd and the leaves ef form cherries. Here the letters are all names of vertices of the tree, that is, numbers between 1 and 7.
 Secondary cone Tree 1 Tree 2 Tree 3 Tree 4 Tree 5 Tree 6 Tree 7 0 S(27,36,45) S(17,35,46) S(16,25,47) S(15,26,37) S(14,23,67) S(13,24,57) S(12,34,56) 210 1 S(23,45,67) C(35,17,46) C(25,16,47) S(15,26,37) S(14,23,67) C(24,31,57) C(34,21,56) 1260 2 S(23,45,67) C(13,57,46) C(12,56,47) S(15,26,37) S(14,23,67) C(24,31,57) C(34,21,56) 1260 3 C(35,27,46) C(35,17,46) C(25,16,47) C(26,15,37) C(23,14,67) C(24,13,57) S(12,34,56) 2520 4 C(35,27,46) C(35,17,46) C(15,26,47) C(26,15,37) C(13,24,67) C(24,13,57) S(12,34,56) 2520 5 S(23,45,67) C(15,37,46) C(15,26,47) S(15,26,37) S(14,23,67) C(24,31,57) C(34,21,56) 2520 6 C(35,26,47) C(13,57,46) C(15,26,47) C(26,51,37) C(13,24,67) S(13,24,57) C(34,12,56) 5040 7 C(45,32,67) C(15,73,46) S(15,26,47) S(15,26,37) C(14,32,67) C(24,31,57) C(34,21,56) 5040 8 C(35,62,47) C(13,75,46) C(15,62,47) C(26,51,37) S(13,24,67) S(13,24,57) C(34,12,56) 5040 9 S(26,35,47) S(13,46,57) S(15,26,47) C(26,51,37) C(13,42,67) S(13,24,57) C(34,12,56) 2520 10 C(35,72,46) C(35,71,46) C(12,56,47) C(26,15,37) C(12,34,67) C(24,13,57) S(12,34,56) 2520 11 S(27,35,46) S(17,35,46) C(12,56,47) C(12,65,37) C(12,34,67) C(12,43,57) S(12,34,56) 630 12 C(26,37,45) C(16,37,45) C(12,65,47) C(12,56,37) C(12,43,67) C(12,34,57) S(12,34,56) 2520 13 C(26,45,37) C(37,51,46) C(47,12,56) C(26,15,37) C(14,23,67) C(24,13,57) C(34,12,56) 5040 14 C(26,35,47) C(16,35,47) C(26,15,47) C(37,12,56) C(13,24,67) C(12,34,57) C(34,12,56) 5040 15 C(26,75,34) C(46,31,57) S(15,26,47) S(15,26,37) C(34,12,67) C(24,31,57) C(34,12,56) 5040 16 C(37,52,46) C(37,51,46) S(12,47,56) C(26,15,37) C(12,43,67) C(24,13,57) S(12,34,56) 5040 17 C(26,43,57) C(46,13,57) C(26,15,47) C(26,15,37) C(34,12,67) C(24,13,57) C(34,12,56) 5040 18 C(26,34,57) C(16,34,57) C(16,25,47) C(16,25,37) C(34,21,67) C(12,34,57) C(34,21,56) 5040 19 C(27,34,56) C(17,34,56) S(12,47,56) C(37,12,56) C(24,13,67) C(24,13,57) S(12,34,56) 2520 20 C(26,75,34) C(16,75,34) C(25,16,47) C(25,16,37) C(34,21,67) S(12,34,57) S(12,34,56) 2520 21 C(26,35,47) C(16,35,47) C(12,65,47) S(12,37,56) C(12,34,67) C(12,34,57) S(12,34,56) 2520 22 C(26,34,57) C(16,34,57) C(12,65,47) C(12,65,37) S(12,34,67) C(12,34,57) S(12,34,56) 2520 23 S(26,34,57) C(16,75,34) S(16,25,47) S(16,25,37) C(34,21,67) S(12,34,57) C(34,21,56) 2520 24 C(34,72,56) C(17,34,56) C(47,12,56) C(37,12,56) C(24,31,67) C(24,31,57) C(34,12,56) 2520 25 C(35,24,67) C(34,51,67) C(24,51,67) C(23,51,67) C(24,31,67) C(14,23,57) C(14,23,56) 2520 26 C(37,24,56) C(37,14,56) S(12,47,56) C(37,12,56) C(24,13,67) C(24,13,57) S(12,34,56) 2520 27 C(24,35,67) C(34,15,67) C(24,15,67) C(23,15,67) C(13,42,67) C(13,42,57) C(13,42,56) 2520 28 C(47,32,56) C(13,74,56) C(47,12,56) C(37,12,56) S(13,24,67) S(13,24,57) C(34,12,56) 2520 29 C(47,32,56) C(13,47,56) C(47,12,56) C(37,12,56) C(13,42,67) C(13,42,57) C(34,12,56) 2520 30 C(37,42,56) C(37,14,56) C(47,12,56) C(37,12,56) C(24,13,67) C(24,13,57) C(34,12,56) 2520 31 C(37,42,56) C(37,41,56) C(47,12,56) C(37,12,56) C(12,43,67) C(12,43,57) C(34,12,56) 2520 32 C(25,63,47) C(13,45,67) C(25,61,47) C(25,61,37) C(13,42,67) C(13,42,57) C(34,12,56) 2520 33 C(34,25,67) C(34,15,67) C(24,15,67) C(23,15,67) C(34,21,67) C(34,21,57) C(34,21,56) 630 34 C(34,25,67) C(34,15,67) C(24,15,67) C(23,15,67) C(34,12,67) C(34,12,57) C(34,12,56) 1260 35 C(34,72,56) C(34,71,56) C(47,12,56) C(37,12,56) S(12,34,67) S(12,34,57) C(34,12,56) 1260 36 C(34,52,67) C(34,51,67) C(24,51,67) C(23,51,67) C(34,21,67) S(12,34,57) S(12,34,56) 1260 37 C(34,72,56) C(34,17,56) C(47,12,56) C(37,12,56) C(34,12,67) C(34,12,57) C(34,12,56) 630 38 C(34,52,67) C(34,51,67) S(15,24,67) S(15,23,67) C(34,12,67) S(12,34,57) S(12,34,56) 630 39 S(27,34,56) S(17,34,56) C(47,12,56) C(37,12,56) C(34,21,67) C(34,21,57) S(12,34,56) 630 40 C(26,75,34) C(16,75,34) C(12,56,47) C(12,56,37) S(12,34,67) S(12,34,57) S(12,34,56) 630 41 S(26,34,57) S(16,34,57) C(16,25,47) C(16,25,37) C(34,21,67) S(12,34,57) C(34,21,56) 2520 42 S(27,34,56) S(17,34,56) S(12,47,56) S(12,37,56) S(12,34,67) S(12,34,57) S(12,34,56) 105 43 S(26,34,57) S(16,34,57) C(12,65,47) C(12,65,37) S(12,34,67) S(12,34,57) S(12,34,56) 1260 44 S(26,34,57) C(46,31,57) C(26,15,47) C(26,15,37) C(34,12,67) C(24,31,57) C(34,12,56) 1680 45 C(35,27,46) C(35,17,46) C(12,56,47) C(26,15,37) C(12,34,67) C(24,13,57) S(12,34,56) 2520 46 C(26,45,37) C(46,13,57) C(26,51,47) C(26,15,37) C(14,32,67) C(24,13,57) C(34,12,56) 5040 47 C(26,34,57) C(16,35,47) C(16,25,47) C(16,52,37) C(23,41,67) C(12,34,57) C(34,21,56) 5040 48 C(37,25,46) C(37,15,46) S(12,47,56) C(26,15,37) C(12,43,67) C(24,13,57) S(12,34,56) 5040 49 C(35,27,46) C(35,17,46) C(12,56,47) C(12,65,37) C(12,34,67) C(12,43,57) S(12,34,56) 1260 50 C(25,63,47) C(13,56,47) C(25,61,47) C(37,12,56) C(13,24,67) C(13,24,57) C(34,12,56) 5040 51 C(25,36,47) C(13,56,47) C(25,16,47) C(37,12,56) C(13,24,67) C(13,24,57) C(34,12,56) 5040 52 C(25,63,47) C(13,54,67) C(25,61,47) C(25,61,37) C(13,24,67) C(13,42,57) C(34,12,56) 5040 53 C(47,23,56) C(13,74,56) C(47,21,56) C(37,12,56) S(13,24,67) S(13,24,57) C(34,12,56) 2520 54 C(34,72,56) C(17,56,34) C(26,51,47) C(26,51,37) C(34,21,67) C(34,21,57) C(34,12,56) 2520 55 C(25,67,34) C(34,51,67) C(17,65,24) C(17,65,23) C(34,21,67) C(34,12,57) C(34,12,56) 2520 56 C(37,25,46) C(37,15,46) S(12,47,56) C(12,65,37) C(12,43,67) C(12,43,57) S(12,34,56) 2520 57 C(35,26,47) C(35,16,47) C(12,56,47) S(12,37,56) C(12,34,67) C(12,34,57) S(12,34,56) 2520 58 C(25,67,34) C(34,51,67) C(25,61,47) C(25,61,37) C(34,21,67) C(34,12,57) C(34,12,56) 2520 59 C(34,62,57) C(16,75,34) C(16,75,24) C(16,75,23) C(34,21,67) C(34,12,57) C(34,21,56) 2520 60 C(23,54,67) C(15,34,67) C(15,24,67) C(15,23,67) C(23,14,67) C(34,21,57) C(34,21,56) 2520 61 C(34,25,67) C(15,67,34) C(15,46,27) C(15,36,27) C(34,21,67) C(34,21,57) C(34,21,56) 2520 62 C(23,45,67) C(15,34,67) C(15,24,67) C(15,23,67) C(23,41,67) C(34,21,57) C(34,21,56) 2520 63 C(34,72,56) C(34,71,56) C(27,14,56) C(27,13,56) S(12,34,67) S(12,34,57) C(34,21,56) 1260 64 C(34,25,67) C(34,15,67) C(12,45,67) C(12,35,67) C(34,21,67) C(34,21,57) C(34,21,56) 1260 65 C(23,54,67) C(15,34,67) C(15,24,67) C(23,51,67) C(23,14,67) S(14,23,57) S(14,23,56) 1260 66 C(23,54,67) C(15,34,67) C(15,24,67) C(23,15,67) C(23,14,67) C(23,14,57) C(23,14,56) 1260 67 C(34,25,67) C(34,51,67) C(25,14,67) C(25,13,67) C(34,21,67) C(34,21,57) C(34,21,56) 1260 68 C(34,25,67) C(34,15,67) C(12,54,67) C(12,53,67) C(34,21,67) C(34,21,57) C(34,21,56) 1260 69 C(23,57,46) C(15,37,46) C(15,27,46) C(23,16,57) C(23,14,67) C(23,14,57) C(23,14,56) 2520 70 C(34,72,56) S(17,34,56) C(47,12,56) C(37,12,56) C(34,21,67) C(34,21,57) C(34,12,56) 1260 71 S(25,34,67) C(34,51,67) C(24,51,67) C(23,51,67) C(34,21,67) C(34,12,57) C(34,12,56) 1260 72 C(47,32,56) S(13,47,56) C(47,12,56) C(37,12,56) C(13,24,67) C(13,24,57) C(34,12,56) 2520 73 C(37,24,56) C(37,14,56) S(12,47,56) S(12,37,56) C(12,43,67) C(12,43,57) S(12,34,56) 1260 74 C(34,25,67) C(34,15,67) C(24,15,67) C(23,15,67) S(12,34,67) S(12,34,57) S(12,34,56) 1260 75 C(34,27,56) C(34,17,56) S(12,47,56) S(12,37,56) S(12,34,67) S(12,34,57) S(12,34,56) 630 76 C(47,23,56) S(13,47,56) C(47,21,56) C(37,12,56) C(13,24,67) C(13,24,57) C(34,12,56) 2520 77 C(34,52,67) C(34,51,67) C(24,15,67) C(23,15,67) S(12,34,67) S(12,34,57) S(12,34,56) 1260 78 C(37,42,56) C(37,41,56) S(12,47,56) S(12,37,56) C(12,43,67) C(12,43,57) S(12,34,56) 1260 79 C(35,26,47) C(35,16,47) C(12,56,47) C(12,73,56) C(12,34,67) C(12,34,57) C(12,43,56) 2520 80 C(34,25,67) C(34,15,67) C(12,45,67) C(12,35,67) C(12,34,67) C(12,73,45) C(12,63,45) 1260 81 C(34,25,67) C(34,15,67) C(12,45,67) C(12,35,67) C(34,21,67) C(15,72,34) C(15,62,34) 630 82 C(34,25,67) S(15,34,67) C(15,42,67) C(15,32,67) C(34,21,67) C(34,21,57) C(34,21,56) 1260 83 C(34,72,56) C(34,71,56) C(12,74,56) C(12,73,56) S(12,34,67) S(12,34,57) S(12,34,56) 315 84 C(34,25,67) S(15,34,67) C(15,24,67) C(15,23,67) C(34,21,67) C(34,21,57) C(34,21,56) 1260 85 C(34,72,56) C(34,71,56) C(12,47,56) C(12,37,56) S(12,34,67) S(12,34,57) S(12,34,56) 630 86 C(34,52,67) S(15,34,67) C(15,24,67) C(15,23,67) C(34,12,67) C(34,21,57) C(34,21,56) 1260 87 C(45,23,67) C(45,13,67) S(12,45,67) C(12,35,67) C(12,34,67) C(12,73,45) C(12,63,45) 210 88 C(25,36,47) C(13,54,67) C(25,16,47) C(25,61,37) C(13,24,67) C(13,42,57) C(34,12,56) 2520 89 C(35,26,47) C(35,16,47) C(12,54,67) C(12,76,35) C(12,34,67) C(12,43,57) C(12,43,56) 2520 90 C(34,25,67) C(34,15,67) C(12,46,57) C(12,36,57) C(12,67,34) C(12,75,34) C(12,65,34) 630 91 C(35,24,67) C(35,14,67) C(12,54,67) S(12,35,67) C(12,34,67) C(12,43,57) C(12,43,56) 1260 92 C(34,25,67) C(34,15,67) C(12,45,67) C(12,35,67) S(12,34,67) S(12,34,57) S(12,34,56) 315 93 C(34,25,67) C(34,15,67) C(12,45,67) C(12,35,67) S(12,34,67) C(12,75,34) C(12,65,34) 630

## Less generic planes in TP6

The lower dimensional cones of the Gröbner fan follow (up to symmetry).

### Dimension 12

 Index Orbit size Rays Plücker coordinates 0 1260 (35,91,100,330,339) (3,3,3,3,2,4,1,1,0,1,1,0,4,3,6,4,1,1,0,1,1,0,4,3,6,5,5,4,6,7,5,6,7,5,8) 1 1260 (35,91,162,330,339) (4,4,4,4,3,3,1,1,0,1,1,0,5,4,7,3,1,1,0,1,1,0,5,4,7,4,4,3,5,6,4,5,6,4,8) 2 630 (35,100,162,330,339) (4,4,4,4,3,4,1,1,0,1,1,0,5,4,6,4,1,1,0,1,1,0,5,4,6,4,4,3,5,6,4,5,6,4,8) 3 1260 (91,100,132,330,339) (3,3,4,4,3,4,1,1,0,1,1,0,4,3,6,4,1,1,0,1,1,0,4,3,6,5,5,4,5,7,4,5,7,4,7) 4 2520 (0,36,94,311,320) (3,3,3,3,2,1,3,1,0,1,4,6,1,0,3,1,3,1,0,1,4,6,1,0,3,4,5,4,4,3,6,5,4,7,7) 5 2520 (0,36,99,311,320) (3,3,3,3,2,1,4,1,0,1,4,5,1,0,3,1,4,1,0,1,4,5,1,0,3,4,5,4,4,3,6,5,4,7,7) 6 2520 (0,36,126,311,320) (3,4,3,4,3,1,3,1,0,1,5,6,1,0,4,1,3,1,0,1,5,6,1,0,4,3,4,3,3,2,6,4,3,7,7) 7 1260 (91,100,162,330,339) (4,4,4,4,3,4,1,1,0,1,1,0,4,3,6,4,1,1,0,1,1,0,4,3,6,5,5,4,5,6,4,5,6,4,7) 8 2520 (0,94,99,311,320) (3,3,3,3,2,1,4,1,0,1,3,5,1,0,2,1,4,1,0,1,3,5,1,0,2,5,5,4,5,4,6,5,4,6,7) 9 2520 (0,94,126,311,320) (3,4,3,4,3,1,3,1,0,1,4,6,1,0,3,1,3,1,0,1,4,6,1,0,3,4,4,3,4,3,6,4,3,6,7) 10 2520 (0,99,126,311,320) (3,4,3,4,3,1,4,1,0,1,4,5,1,0,3,1,4,1,0,1,4,5,1,0,3,4,4,3,4,3,6,4,3,6,7) 11 630 (35,70,91,162,330) (2,2,3,2,2,2,1,0,0,1,0,0,3,3,6,2,1,0,0,1,0,0,3,3,6,3,2,2,4,4,4,4,4,4,7) 12 630 (35,70,91,100,330) (1,1,2,1,1,3,1,0,0,1,0,0,2,2,5,3,1,0,0,1,0,0,2,2,5,4,3,3,5,5,5,5,5,5,7) 13 630 (35,91,100,162,330) (2,2,3,2,2,3,1,0,0,1,0,0,3,3,5,3,1,0,0,1,0,0,3,3,5,4,3,3,5,5,4,5,5,4,7) 14 1260 (35,91,100,162,339) (3,3,2,3,2,2,0,1,0,0,1,0,4,3,5,2,0,1,0,0,1,0,4,3,5,3,4,3,4,5,4,4,5,4,7) 15 630 (35,70,100,162,330) (2,2,3,2,2,3,1,0,0,1,0,0,3,3,5,3,1,0,0,1,0,0,3,3,5,3,2,2,4,4,4,4,4,4,7) 16 1260 (35,91,100,204,330) (2,2,3,1,1,4,2,0,0,2,0,0,2,2,4,4,2,0,0,2,0,0,2,2,4,5,3,3,5,5,4,6,6,4,6) 17 2520 (0,36,94,99,311) (1,1,1,2,1,0,3,1,0,0,2,4,1,0,2,0,3,1,0,0,2,4,1,0,2,3,5,4,4,3,5,5,4,6,6) 18 2520 (0,36,94,99,320) (2,2,2,1,1,1,2,0,0,1,3,4,0,0,2,1,2,0,0,1,3,4,0,0,2,4,4,4,3,3,5,4,4,6,6) 19 2520 (0,7,36,315,324) (3,1,3,1,0,3,3,3,2,1,4,5,1,0,3,1,3,1,0,3,4,3,3,2,5,1,4,6,1,0,3,4,3,6,6) 20 2520 (0,36,99,126,311) (1,2,1,3,2,0,3,1,0,0,3,4,1,0,3,0,3,1,0,0,3,4,1,0,3,2,4,3,3,2,5,4,3,6,6) 21 1260 (0,36,99,126,320) (2,3,2,2,2,1,2,0,0,1,4,4,0,0,3,1,2,0,0,1,4,4,0,0,3,3,3,3,2,2,5,3,3,6,6) 22 1260 (0,36,70,99,320) (2,2,2,1,1,1,2,0,0,1,3,3,0,0,3,1,2,0,0,1,3,3,0,0,3,3,3,3,2,2,5,3,3,6,6) 23 1260 (0,36,70,126,320) (2,3,2,2,2,1,1,0,0,1,4,4,0,0,4,1,1,0,0,1,4,4,0,0,4,2,2,2,1,1,5,2,2,6,6) 24 1260 (35,70,91,204,330) (2,2,3,1,1,3,2,0,0,2,0,0,2,2,5,3,2,0,0,2,0,0,2,2,5,4,2,2,4,4,4,5,5,4,6) 25 1260 (35,70,100,204,330) (2,2,3,1,1,4,2,0,0,2,0,0,2,2,4,4,2,0,0,2,0,0,2,2,4,4,2,2,4,4,4,5,5,4,6) 26 2520 (0,36,94,141,311) (2,1,2,3,1,0,3,2,0,0,2,4,2,0,2,0,3,2,0,0,2,4,2,0,2,2,4,3,4,2,4,5,3,5,6) 27 2520 (0,36,99,141,311) (2,1,2,3,1,0,4,2,0,0,2,3,2,0,2,0,4,2,0,0,2,3,2,0,2,2,4,3,4,2,4,5,3,5,6) 28 1260 (35,79,132,162,330) (2,2,4,3,3,3,1,0,0,1,0,0,4,4,5,3,1,0,0,1,0,0,4,4,5,3,2,2,3,4,2,3,4,2,6) 29 5040 (0,7,107,315,324) (3,1,3,1,0,3,3,3,2,1,3,5,1,0,2,1,3,1,0,4,4,3,4,3,5,1,3,6,1,0,2,4,3,5,6) 30 1260 (91,100,132,162,330) (2,2,4,3,3,3,1,0,0,1,0,0,3,3,5,3,1,0,0,1,0,0,3,3,5,4,3,3,4,5,3,4,5,3,6) 31 1260 (35,79,100,132,330) (1,1,3,2,2,4,1,0,0,1,0,0,3,3,4,4,1,0,0,1,0,0,3,3,4,4,3,3,4,5,3,4,5,3,6) 32 2520 (0,94,99,126,311) (1,2,1,3,2,0,3,1,0,0,2,4,1,0,2,0,3,1,0,0,2,4,1,0,2,3,4,3,4,3,5,4,3,5,6) 33 2520 (7,46,107,141,315) (2,0,4,3,0,1,2,3,1,0,1,3,3,0,1,0,4,3,0,3,4,2,6,3,4,0,1,4,3,0,1,5,2,3,5) 34 2520 (0,94,99,126,320) (2,3,2,2,2,1,2,0,0,1,3,4,0,0,2,1,2,0,0,1,3,4,0,0,2,4,3,3,3,3,5,3,3,5,6) 35 630 (35,70,79,162,330) (2,2,3,2,2,3,1,0,0,1,0,0,3,3,5,3,1,0,0,1,0,0,3,3,5,3,2,2,3,3,3,3,3,3,6) 36 630 (70,91,100,162,330) (2,2,3,2,2,3,1,0,0,1,0,0,2,2,5,3,1,0,0,1,0,0,2,2,5,4,3,3,4,4,4,4,4,4,6) 37 1260 (0,70,99,126,320) (2,3,2,2,2,1,2,0,0,1,3,3,0,0,3,1,2,0,0,1,3,3,0,0,3,3,2,2,2,2,5,2,2,5,6) 38 630 (35,70,79,100,330) (1,1,2,1,1,4,1,0,0,1,0,0,2,2,4,4,1,0,0,1,0,0,2,2,4,4,3,3,4,4,4,4,4,4,6) 39 1260 (0,63,79,123,380) (2,2,2,1,1,4,1,0,0,1,0,0,1,1,3,6,2,4,4,2,4,4,1,1,3,4,4,4,0,0,2,0,0,2,4) 40 630 (35,79,100,162,330) (2,2,3,2,2,4,1,0,0,1,0,0,3,3,4,4,1,0,0,1,0,0,3,3,4,4,3,3,4,4,3,4,4,3,6) 41 630 (35,70,91,100,162) (1,1,1,1,1,1,0,0,0,0,0,0,2,2,4,1,0,0,0,0,0,0,2,2,4,2,2,2,3,3,4,3,3,4,6) 42 630 (70,91,100,162,616) (2,2,3,2,2,2,0,-1,-1,0,-1,-1,1,1,4,2,0,-1,-1,0,-1,-1,1,1,4,4,3,3,2,2,4,2,2,4,6) 43 315 (0,35,70,100,162) (1,1,1,1,1,1,0,0,0,0,0,0,2,2,3,1,0,0,0,0,0,0,2,2,3,1,1,1,2,2,3,2,2,3,6) 44 315 (0,70,100,162,616) (2,2,3,2,2,2,0,-1,-1,0,-1,-1,1,1,3,2,0,-1,-1,0,-1,-1,1,1,3,3,2,2,1,1,3,1,1,3,6) 45 1260 (79,91,100,132,330) (1,1,3,2,2,4,1,0,0,1,0,0,2,2,4,4,1,0,0,1,0,0,2,2,4,5,4,4,4,5,3,4,5,3,5) 46 2520 (0,36,123,279,325) (3,2,2,0,0,2,2,0,0,3,2,2,1,1,4,4,3,2,2,2,4,4,0,0,3,2,5,5,0,0,3,2,2,5,5) 47 2520 (0,63,123,156,380) (2,2,3,2,2,3,1,0,0,1,0,0,2,2,4,5,2,4,5,2,4,5,2,2,4,3,3,3,0,0,2,0,0,2,5) 48 1260 (0,107,281,285,358) (3,3,0,0,4,3,3,3,4,0,0,5,1,1,1,3,0,0,4,4,4,5,2,2,2,0,0,5,1,1,1,2,2,2,4) 49 1260 (0,7,36,95,302) (1,1,1,1,2,0,2,0,1,0,4,2,0,1,2,0,2,0,1,0,4,2,0,1,2,2,3,5,2,3,4,3,4,5,5) 50 1260 (0,7,36,99,302) (1,1,1,1,2,0,3,0,1,0,3,2,0,1,2,0,3,0,1,0,3,2,0,1,2,2,3,5,2,3,4,3,4,5,5) 51 5040 (0,7,36,107,315) (1,0,2,1,0,1,1,2,1,0,2,4,1,0,2,0,2,1,0,2,4,3,3,2,4,0,2,5,1,0,2,4,3,5,5) 52 5040 (0,7,46,107,315) (1,0,3,2,0,1,1,2,1,0,1,3,2,0,1,0,3,2,0,3,4,2,5,3,4,0,1,4,2,0,1,4,2,3,5) 53 1260 (79,91,132,162,330) (2,2,4,3,3,3,1,0,0,1,0,0,3,3,5,3,1,0,0,1,0,0,3,3,5,4,3,3,3,4,2,3,4,2,5) 54 5040 (0,7,36,107,324) (2,1,1,0,0,2,2,1,1,1,3,4,0,0,2,1,1,0,0,3,3,3,2,2,4,1,3,5,0,0,2,3,3,5,5) 55 2520 (0,36,90,94,320) (3,3,3,2,2,1,1,0,0,1,3,4,0,0,2,1,1,0,0,1,3,4,0,0,2,3,3,3,2,2,4,3,3,5,5) 56 2520 (7,14,42,131,382) (0,1,1,2,0,2,3,0,4,3,1,2,1,3,0,0,3,1,2,1,3,0,2,4,1,3,0,5,3,5,2,1,3,0,4) 57 2520 (7,31,37,130,334) (1,0,1,3,0,0,1,2,0,3,1,2,2,4,1,2,3,1,2,3,0,4,1,3,0,3,0,5,1,3,0,3,5,2,4) 58 1260 (0,36,90,99,320) (3,3,3,2,2,1,2,0,0,1,3,3,0,0,2,1,2,0,0,1,3,3,0,0,2,3,3,3,2,2,4,3,3,5,5) 59 5040 (0,7,46,141,315) (2,0,4,3,0,1,2,3,1,0,1,2,3,0,1,0,4,3,0,2,3,1,5,2,3,0,1,3,3,0,1,4,1,2,5) 60 630 (70,79,91,162,330) (2,2,3,2,2,3,1,0,0,1,0,0,2,2,5,3,1,0,0,1,0,0,2,2,5,4,3,3,3,3,3,3,3,3,5) 61 2520 (0,36,70,279,325) (3,2,2,0,0,2,2,0,0,3,2,2,1,1,4,3,3,1,1,2,3,3,0,0,3,2,4,4,0,0,3,2,2,5,5) 62 1260 (0,36,70,90,320) (3,3,3,2,2,1,1,0,0,1,3,3,0,0,3,1,1,0,0,1,3,3,0,0,3,2,2,2,1,1,4,2,2,5,5) 63 1260 (0,7,46,72,398) (1,1,2,2,2,2,0,0,1,0,0,1,4,1,1,2,3,3,1,3,3,1,5,2,2,1,1,3,3,0,0,3,0,0,5) 64 1260 (0,19,41,70,379) (1,2,1,3,3,1,2,2,2,1,3,3,2,2,5,3,1,0,0,2,1,1,0,0,3,1,0,0,1,1,4,0,0,3,5) 65 1260 (0,36,70,99,126) (0,1,0,1,1,0,1,0,0,0,2,2,0,0,3,0,1,0,0,0,2,2,0,0,3,1,2,2,1,1,4,2,2,5,5) 66 315 (70,79,91,100,330) (1,1,2,1,1,4,1,0,0,1,0,0,1,1,4,4,1,0,0,1,0,0,1,1,4,5,4,4,4,4,4,4,4,4,5) 67 630 (79,91,100,162,330) (2,2,3,2,2,4,1,0,0,1,0,0,2,2,4,4,1,0,0,1,0,0,2,2,4,5,4,4,4,4,3,4,4,3,5) 68 630 (0,79,277,286,355) (3,3,3,3,4,4,0,0,4,0,0,4,1,1,1,4,0,0,4,0,0,4,1,1,1,4,4,5,1,1,1,1,1,1,3) 69 1260 (35,70,91,100,204) (1,1,1,0,0,2,1,0,0,1,0,0,1,1,3,2,1,0,0,1,0,0,1,1,3,3,2,2,3,3,4,4,4,4,5) 70 630 (0,7,95,99,302) (1,1,1,1,2,0,3,0,1,0,3,1,0,1,1,0,3,0,1,0,3,1,0,1,1,3,3,5,3,4,4,3,4,4,5) 71 1260 (0,63,70,123,325) (3,2,1,0,0,2,1,0,0,2,1,1,1,1,4,5,3,3,3,2,4,4,0,0,3,2,4,4,0,0,3,1,1,4,5) 72 1260 (0,7,281,285,358) (3,3,0,0,4,3,3,3,4,0,0,4,1,1,1,3,0,0,4,3,3,4,1,1,1,0,0,5,1,1,1,1,1,1,3) 73 2520 (0,63,79,156,380) (2,2,3,2,2,4,1,0,0,1,0,0,2,2,3,5,2,3,4,2,3,4,2,2,3,4,3,3,0,0,1,0,0,1,4) 74 2520 (0,36,94,99,141) (1,0,1,1,0,0,2,1,0,0,1,2,1,0,1,0,2,1,0,0,1,2,1,0,1,2,3,3,3,2,3,4,3,4,5) 75 5040 (0,7,36,141,315) (2,0,3,2,0,1,2,3,1,0,2,3,2,0,2,0,3,2,0,1,3,2,3,1,3,0,2,4,2,0,2,4,2,4,5) 76 5040 (0,7,46,124,315) (1,0,3,2,0,2,1,3,2,0,2,3,2,0,2,0,3,2,0,2,3,1,4,2,4,0,2,4,2,0,2,3,1,3,5) 77 1260 (79,100,132,162,330) (2,2,4,3,3,4,1,0,0,1,0,0,3,3,4,4,1,0,0,1,0,0,3,3,4,4,3,3,3,4,2,3,4,2,5) 78 2520 (0,90,94,99,320) (3,3,3,2,2,1,2,0,0,1,2,3,0,0,1,1,2,0,0,1,2,3,0,0,1,4,3,3,3,3,4,3,3,4,5) 79 2520 (0,63,70,279,325) (4,3,2,0,0,3,2,0,0,3,1,1,1,1,3,5,4,2,2,3,3,3,0,0,2,3,4,4,0,0,2,1,1,3,4) 80 630 (35,70,90,91,100) (1,1,1,1,1,1,0,0,0,0,0,0,1,1,3,1,0,0,0,0,0,0,1,1,3,2,2,2,3,3,4,3,3,4,5) 81 5040 (0,7,107,124,315) (1,0,2,1,0,2,1,3,2,0,2,4,1,0,2,0,2,1,0,2,3,2,3,2,4,0,2,5,1,0,2,3,2,4,5) 82 2520 (0,7,107,281,358) (2,2,0,0,3,2,2,2,3,0,0,4,1,1,1,2,0,0,3,4,4,4,2,2,2,0,0,5,1,1,1,2,2,2,4) 83 5040 (0,7,107,141,315) (2,0,3,2,0,1,2,3,1,0,1,3,2,0,1,0,3,2,0,2,3,2,4,2,3,0,1,4,2,0,1,4,2,3,5) 84 2520 (0,7,107,285,358) (2,2,0,0,3,2,3,3,3,0,0,4,1,1,1,2,0,0,3,3,3,4,2,2,2,0,0,5,1,1,1,2,2,2,4) 85 315 (70,79,91,100,616) (1,1,2,1,1,3,0,-1,-1,0,-1,-1,0,0,3,3,0,-1,-1,0,-1,-1,0,0,3,5,4,4,2,2,4,2,2,4,5) 86 630 (79,91,100,162,616) (2,2,3,2,2,3,0,-1,-1,0,-1,-1,1,1,3,3,0,-1,-1,0,-1,-1,1,1,3,5,4,4,2,2,3,2,2,3,5) 87 630 (70,90,91,100,616) (2,2,3,2,2,2,0,-1,-1,0,-1,-1,0,0,3,2,0,-1,-1,0,-1,-1,0,0,3,4,3,3,2,2,4,2,2,4,5) 88 630 (0,79,277,286,622) (3,3,2,2,4,4,-1,-1,2,-1,-1,2,1,0,0,4,-1,-1,2,-1,-1,2,1,0,0,3,3,5,1,0,0,1,0,0,3) 89 2520 (0,7,95,140,349) (2,3,2,2,2,1,0,0,1,3,4,1,2,0,0,1,0,0,1,3,4,1,2,0,0,2,2,4,4,2,2,4,2,2,5) 90 630 (70,79,100,162,330) (2,2,3,2,2,4,1,0,0,1,0,0,2,2,4,4,1,0,0,1,0,0,2,2,4,4,3,3,3,3,3,3,3,3,5) 91 2520 (0,90,94,126,320) (3,4,3,3,3,1,1,0,0,1,3,4,0,0,2,1,1,0,0,1,3,4,0,0,2,3,2,2,2,2,4,2,2,4,5) 92 1260 (0,90,99,126,320) (3,4,3,3,3,1,2,0,0,1,3,3,0,0,2,1,2,0,0,1,3,3,0,0,2,3,2,2,2,2,4,2,2,4,5) 93 1260 (0,70,90,99,320) (3,3,3,2,2,1,2,0,0,1,2,2,0,0,2,1,2,0,0,1,2,2,0,0,2,3,2,2,2,2,4,2,2,4,5) 94 630 (35,70,90,91,162) (2,2,2,2,2,0,0,0,0,0,0,0,2,2,4,0,0,0,0,0,0,0,2,2,4,1,1,1,2,2,3,2,2,3,5) 95 1260 (0,63,70,79,380) (2,2,2,1,1,4,1,0,0,1,0,0,1,1,3,5,2,3,3,2,3,3,1,1,3,4,3,3,0,0,2,0,0,2,4) 96 1260 (7,46,72,107,141) (1,0,2,2,0,0,1,1,0,0,0,1,3,0,0,0,2,2,0,2,2,1,5,2,2,0,0,2,3,0,0,4,1,1,4) 97 630 (70,90,91,162,616) (3,3,4,3,3,1,0,-1,-1,0,-1,-1,1,1,4,1,0,-1,-1,0,-1,-1,1,1,4,3,2,2,1,1,3,1,1,3,5) 98 630 (70,91,204,259,628) (4,3,3,2,2,1,1,1,1,2,-1,-1,-1,-1,4,1,1,1,1,2,-1,-1,-1,-1,4,4,1,1,1,1,5,3,3,3,3) 99 630 (70,79,91,162,616) (2,2,3,2,2,2,0,-1,-1,0,-1,-1,1,1,4,2,0,-1,-1,0,-1,-1,1,1,4,4,3,3,1,1,3,1,1,3,5) 100 630 (0,79,100,286,622) (2,2,2,2,3,4,-1,-1,1,-1,-1,1,1,0,0,4,-1,-1,1,-1,-1,1,1,0,0,3,3,5,2,1,1,2,1,1,4) 101 2520 (0,70,123,279,325) (3,2,2,0,0,2,2,0,0,3,1,1,1,1,4,4,3,2,2,2,3,3,0,0,3,2,4,4,0,0,3,1,1,4,5) 102 1260 (0,7,72,140,349) (2,3,2,2,2,1,0,0,1,3,3,1,3,0,0,1,0,0,1,3,3,1,3,0,0,1,1,3,4,1,1,4,1,1,5) 103 1260 (0,70,90,126,320) (3,4,3,3,3,1,1,0,0,1,3,3,0,0,3,1,1,0,0,1,3,3,0,0,3,2,1,1,1,1,4,1,1,4,5) 104 630 (35,79,100,132,162) (1,1,2,2,2,2,0,0,0,0,0,0,3,3,3,2,0,0,0,0,0,0,3,3,3,2,2,2,2,3,2,2,3,2,5) 105 630 (90,91,100,162,616) (3,3,4,3,3,2,0,-1,-1,0,-1,-1,1,1,3,2,0,-1,-1,0,-1,-1,1,1,3,4,3,3,2,2,3,2,2,3,5) 106 630 (35,70,79,100,162) (1,1,1,1,1,2,0,0,0,0,0,0,2,2,3,2,0,0,0,0,0,0,2,2,3,2,2,2,2,2,3,2,2,3,5) 107 630 (0,35,70,79,100) (0,0,0,0,0,2,0,0,0,0,0,0,1,1,2,2,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,2,2,3,5) 108 1260 (0,35,64,70,116) (1,2,0,0,0,2,1,1,1,1,1,1,1,1,2,2,0,0,0,1,1,1,2,2,3,1,1,1,1,1,2,2,2,3,5) 109 1260 (0,19,35,70,100) (0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,2,0,0,0,0,0,0,1,1,2,1,1,1,2,2,3,2,2,3,5) 110 630 (0,35,70,79,162) (1,1,1,1,1,1,0,0,0,0,0,0,2,2,3,1,0,0,0,0,0,0,2,2,3,1,1,1,1,1,2,1,1,2,5) 111 630 (70,79,100,162,616) (2,2,3,2,2,3,0,-1,-1,0,-1,-1,1,1,3,3,0,-1,-1,0,-1,-1,1,1,3,4,3,3,1,1,3,1,1,3,5) 112 630 (0,70,79,100,616) (1,1,2,1,1,3,0,-1,-1,0,-1,-1,0,0,2,3,0,-1,-1,0,-1,-1,0,0,2,4,3,3,1,1,3,1,1,3,5) 113 630 (0,72,100,286,622) (2,2,2,2,3,3,-1,-1,1,-1,-1,1,2,0,0,3,-1,-1,1,-1,-1,1,2,0,0,2,2,4,3,1,1,3,1,1,5) 114 630 (0,70,79,162,616) (2,2,3,2,2,2,0,-1,-1,0,-1,-1,1,1,3,2,0,-1,-1,0,-1,-1,1,1,3,3,2,2,0,0,2,0,0,2,5) 115 630 (0,7,72,162,622) (2,2,2,2,3,1,-1,-1,0,-1,-1,0,3,1,1,1,-1,-1,0,-1,-1,0,3,1,1,1,1,3,2,0,0,2,0,0,5) 116 210 (0,35,79,100,162) (1,1,1,1,1,2,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,5) 117 630 (0,79,100,162,616) (2,2,3,2,2,3,0,-1,-1,0,-1,-1,1,1,2,3,0,-1,-1,0,-1,-1,1,1,2,4,3,3,1,1,2,1,1,2,5) 118 1260 (0,79,156,277,355) (2,2,3,3,4,3,0,0,3,0,0,3,2,2,2,3,0,0,4,0,0,4,2,2,2,4,4,4,1,1,1,1,1,1,4) 119 1260 (0,79,156,286,355) (2,2,4,4,4,3,0,0,3,0,0,3,2,2,2,3,0,0,4,0,0,4,2,2,2,3,3,4,1,1,1,1,1,1,4) 120 1260 (35,90,91,100,204) (2,2,2,1,1,2,1,0,0,1,0,0,1,1,2,2,1,0,0,1,0,0,1,1,2,3,2,2,3,3,3,4,4,3,4) 121 2520 (0,7,46,281,398) (2,2,2,2,3,3,0,0,2,0,0,2,3,1,1,3,3,3,2,4,4,2,4,2,2,1,1,4,2,0,0,2,0,0,4) 122 2520 (0,19,41,298,379) (2,3,2,3,3,2,3,2,2,2,4,4,2,2,4,4,2,0,0,3,1,1,0,0,2,2,0,0,1,1,3,0,0,2,4) 123 1260 (0,7,36,95,99) (0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,1,0,0,0,2,1,0,0,1,2,3,4,2,2,3,3,3,4,4) 124 2520 (0,36,90,94,99) (1,1,1,1,1,0,1,0,0,0,1,2,0,0,1,0,1,0,0,0,1,2,0,0,1,2,3,3,2,2,3,3,3,4,4) 125 2520 (7,14,131,157,368) (0,0,2,2,3,2,3,0,2,3,0,2,2,4,3,1,0,3,1,0,4,1,2,4,3,2,1,4,0,2,1,0,2,1,4) 126 2520 (0,7,14,36,302) (1,1,1,1,2,0,2,0,1,0,3,2,0,1,2,0,2,0,1,0,4,2,0,1,2,1,2,4,1,2,3,2,3,4,4) 127 2520 (0,7,14,42,302) (1,1,1,1,2,0,3,0,2,0,2,1,0,2,1,0,3,0,2,0,3,1,0,2,1,2,1,4,2,4,3,1,3,2,4) 128 5040 (0,7,14,42,382) (0,1,1,2,0,1,2,0,3,2,1,1,1,2,0,0,3,1,2,1,3,0,2,3,1,2,0,4,3,4,2,1,2,0,4) 129 5040 (0,7,31,37,334) (1,0,1,3,0,0,1,2,0,3,1,2,2,3,1,1,2,1,1,2,0,3,1,2,0,2,0,4,1,2,0,3,4,2,4) 130 1260 (0,46,72,107,281) (1,1,1,1,1,1,0,0,1,0,0,2,2,0,0,1,1,1,1,3,3,2,4,2,2,0,0,2,2,0,0,3,1,1,4) 131 1260 (0,7,46,79,398) (1,1,2,2,2,3,0,0,1,0,0,1,3,1,1,3,3,3,1,3,3,1,4,2,2,2,2,4,2,0,0,2,0,0,4) 132 1260 (0,19,41,79,381) (1,1,2,2,2,3,1,3,3,1,3,3,2,2,4,4,1,0,0,1,0,0,1,1,3,3,2,2,0,0,2,0,0,2,4) 133 2520 (0,7,46,107,141) (1,0,2,2,0,0,1,1,0,0,0,1,2,0,0,0,2,2,0,2,2,1,4,2,2,0,0,2,2,0,0,3,1,1,4) 134 1260 (0,46,64,72,107) (1,1,1,1,0,2,1,1,1,1,1,2,2,0,0,1,1,1,0,2,2,1,4,2,2,1,1,2,2,0,0,3,1,1,4) 135 2520 (0,7,46,72,107) (0,0,1,1,0,0,0,0,0,0,0,1,2,0,0,0,1,1,0,2,2,1,4,2,2,0,0,2,2,0,0,3,1,1,4) 136 1260 (0,36,70,90,99) (1,1,1,1,1,0,1,0,0,0,1,1,0,0,2,0,1,0,0,0,1,1,0,0,2,1,2,2,1,1,3,2,2,4,4) 137 630 (0,79,90,277,355) (3,3,3,3,4,3,0,0,3,0,0,3,1,1,1,3,0,0,3,0,0,3,1,1,1,4,4,4,1,1,1,1,1,1,3) 138 2520 (0,36,70,123,279) (1,1,1,0,0,1,1,0,0,1,1,1,0,0,3,2,1,1,1,1,2,2,0,0,3,1,3,3,0,0,3,1,1,4,4) 139 2520 (0,7,46,72,141) (1,0,2,2,0,0,1,1,0,0,0,0,3,0,0,0,2,2,0,1,1,0,4,1,1,0,0,1,3,0,0,3,0,0,4) 140 1260 (0,7,90,140,349) (3,4,3,3,3,1,0,0,1,3,3,1,2,0,0,1,0,0,1,3,3,1,2,0,0,1,1,3,3,1,1,3,1,1,4) 141 1260 (35,70,90,91,204) (2,2,2,1,1,1,1,0,0,1,0,0,1,1,3,1,1,0,0,1,0,0,1,1,3,2,1,1,2,2,3,3,3,3,4) 142 1260 (7,46,72,140,281) (1,2,2,2,1,1,0,0,1,1,1,1,3,0,0,1,1,1,1,3,3,1,4,1,1,0,0,2,3,0,0,3,0,0,3) 143 1260 (7,46,72,140,286) (1,2,3,3,1,1,0,0,1,1,1,1,3,0,0,1,1,1,1,2,2,1,4,1,1,0,0,2,3,0,0,3,0,0,3) 144 1260 (36,69,84,119,134) (4,1,3,1,2,1,3,1,2,1,2,2,1,2,2,2,3,2,3,0,1,1,0,1,1,0,1,1,0,1,1,2,3,3,3) 145 2520 (0,63,79,123,156) (1,1,1,1,1,2,0,0,0,0,0,0,1,1,2,4,1,2,3,1,2,3,1,1,2,2,3,3,0,0,1,0,0,1,3) 146 1260 (35,70,90,100,204) (2,2,2,1,1,2,1,0,0,1,0,0,1,1,2,2,1,0,0,1,0,0,1,1,2,2,1,1,2,2,3,3,3,3,4) 147 2520 (0,7,14,95,302) (1,1,1,1,2,0,2,0,1,0,3,1,0,1,1,0,2,0,1,0,4,1,0,1,1,2,2,4,2,3,3,2,3,3,4) 148 1260 (0,7,30,95,302) (1,1,1,1,3,0,2,0,1,0,3,1,0,1,1,0,2,0,1,0,3,1,0,1,1,2,2,4,2,3,3,2,3,3,4) 149 5040 (0,7,14,140,349) (2,3,2,2,2,1,0,0,1,3,3,1,2,0,0,1,0,0,1,3,4,1,2,0,0,1,1,3,3,1,1,3,1,1,4) 150 2520 (0,7,42,95,140) (0,1,1,1,0,0,1,0,1,1,2,0,1,1,0,0,1,0,1,1,2,0,1,1,0,2,1,3,3,3,2,2,2,1,4) 151 5040 (0,7,36,107,141) (1,0,1,1,0,0,1,1,0,0,1,2,1,0,1,0,1,1,0,1,2,2,2,1,2,0,1,3,1,0,1,3,2,3,4) 152 2520 (0,36,90,94,141) (2,1,2,2,1,0,1,1,0,0,1,2,1,0,1,0,1,1,0,0,1,2,1,0,1,1,2,2,2,1,2,3,2,3,4) 153 2520 (7,14,42,131,278) (1,1,0,1,0,2,2,1,2,1,1,1,0,2,0,1,1,1,1,0,2,0,0,2,0,3,1,4,1,3,1,0,2,0,2) 154 2520 (7,31,37,130,278) (1,1,0,2,0,1,0,1,0,1,1,1,0,2,0,2,1,1,1,2,1,2,0,2,0,3,1,4,0,2,0,1,3,1,2) 155 2520 (0,36,69,119,134) (3,1,3,1,2,1,3,1,2,1,2,2,1,2,2,1,2,1,2,0,1,1,0,1,1,0,1,1,0,1,1,2,3,3,4) 156 5040 (0,7,46,107,124) (0,0,1,1,0,1,0,1,1,0,1,2,1,0,1,0,1,1,0,2,2,1,3,2,3,0,1,3,1,0,1,2,1,2,4) 157 2520 (0,36,90,99,141) (2,1,2,2,1,0,2,1,0,0,1,1,1,0,1,0,2,1,0,0,1,1,1,0,1,1,2,2,2,1,2,3,2,3,4) 158 315 (0,72,277,286,622) (3,3,2,2,4,3,-1,-1,2,-1,-1,2,2,0,0,3,-1,-1,2,-1,-1,2,2,0,0,2,2,4,2,0,0,2,0,0,4) 159 630 (70,79,91,100,162) (1,1,1,1,1,2,0,0,0,0,0,0,1,1,3,2,0,0,0,0,0,0,1,1,3,3,3,3,2,2,3,2,2,3,4) 160 1260 (79,91,100,132,162) (1,1,2,2,2,2,0,0,0,0,0,0,2,2,3,2,0,0,0,0,0,0,2,2,3,3,3,3,2,3,2,2,3,2,4) 161 5040 (0,7,14,95,349) (2,2,1,1,2,1,0,0,1,2,3,1,1,0,0,1,0,0,1,2,4,1,1,0,0,2,2,4,3,2,2,3,2,2,4) 162 2520 (0,7,90,95,349) (3,3,2,2,3,1,0,0,1,2,3,1,1,0,0,1,0,0,1,2,3,1,1,0,0,2,2,4,3,2,2,3,2,2,4) 163 2520 (7,14,25,123,368) (0,0,1,1,2,1,2,0,1,3,0,1,1,2,3,2,0,3,2,0,4,2,1,2,3,1,2,4,0,1,2,0,1,2,3) 164 2520 (0,14,28,107,358) (1,1,0,0,2,1,3,2,2,0,0,3,1,1,1,1,0,0,2,3,4,3,2,2,2,0,0,3,1,1,1,2,2,2,4) 165 5040 (0,7,14,131,382) (0,1,1,2,0,2,2,0,3,3,1,2,1,2,0,0,2,1,1,1,3,0,2,3,1,2,0,4,2,3,1,1,2,0,4) 166 5040 (0,7,31,130,334) (1,0,1,3,0,0,1,2,0,2,1,1,2,3,1,2,3,1,2,2,0,3,1,2,0,2,0,4,1,2,0,2,3,1,4) 167 2520 (0,7,79,157,398) (1,1,2,2,3,3,0,0,1,0,0,1,3,2,2,3,2,3,1,2,3,1,3,2,2,2,2,4,1,0,0,1,0,0,4) 168 2520 (0,19,79,159,381) (1,1,3,2,2,3,1,2,3,1,2,3,2,2,3,4,1,0,0,1,0,0,2,2,3,3,2,2,0,0,1,0,0,1,4) 169 630 (70,90,91,100,162) (2,2,2,2,2,1,0,0,0,0,0,0,1,1,3,1,0,0,0,0,0,0,1,1,3,2,2,2,2,2,3,2,2,3,4) 170 1260 (0,63,70,123,279) (2,2,1,0,0,2,1,0,0,1,0,0,0,0,2,4,2,2,2,2,2,2,0,0,2,2,3,3,0,0,2,0,0,2,3) 171 1260 (0,63,70,79,123) (1,1,0,0,0,2,0,0,0,0,0,0,0,0,2,4,1,2,2,1,2,2,0,0,2,2,3,3,0,0,2,0,0,2,3) 172 2520 (0,90,94,99,126) (1,2,1,2,2,0,1,0,0,0,1,2,0,0,1,0,1,0,0,0,1,2,0,0,1,2,2,2,2,2,3,2,2,3,4) 173 2520 (0,7,107,281,285) (2,2,0,0,2,2,1,1,2,0,0,3,0,0,0,2,0,0,2,2,2,3,1,1,1,0,0,4,0,0,0,1,1,1,2) 174 1260 (0,63,70,79,279) (2,2,1,0,0,3,1,0,0,1,0,0,0,0,1,4,2,1,1,2,1,1,0,0,1,3,3,3,0,0,1,0,0,1,2) 175 2520 (19,35,64,70,116) (1,2,0,0,0,2,1,1,1,1,1,1,1,1,2,3,0,0,0,1,1,1,2,2,3,1,1,1,1,1,2,2,2,3,4) 176 1260 (35,63,70,79,162) (2,2,1,1,1,2,0,0,0,0,0,0,2,2,3,3,1,1,1,1,1,1,2,2,3,2,2,2,1,1,2,1,1,2,4) 177 5040 (0,7,14,131,368) (0,0,1,1,2,2,3,0,2,3,0,2,1,3,2,1,0,2,1,0,3,1,1,3,2,2,1,4,0,2,1,0,2,1,4) 178 630 (79,90,91,162,616) (3,3,4,3,3,2,0,-1,-1,0,-1,-1,1,1,3,2,0,-1,-1,0,-1,-1,1,1,3,4,3,3,1,1,2,1,1,2,4) 179 630 (0,90,100,286,622) (3,3,3,3,4,3,-1,-1,1,-1,-1,1,1,0,0,3,-1,-1,1,-1,-1,1,1,0,0,2,2,4,2,1,1,2,1,1,4) 180 630 (0,79,90,277,622) (3,3,2,2,4,3,-1,-1,1,-1,-1,1,1,0,0,3,-1,-1,1,-1,-1,1,1,0,0,3,3,4,1,0,0,1,0,0,3) 181 315 (79,90,100,162,616) (3,3,4,3,3,3,0,-1,-1,0,-1,-1,1,1,2,3,0,-1,-1,0,-1,-1,1,1,2,4,3,3,1,1,2,1,1,2,4) 182 630 (0,79,90,100,616) (2,2,3,2,2,3,0,-1,-1,0,-1,-1,0,0,1,3,0,-1,-1,0,-1,-1,0,0,1,4,3,3,1,1,2,1,1,2,4) 183 630 (0,7,90,162,622) (3,3,3,3,4,1,-1,-1,0,-1,-1,0,2,1,1,1,-1,-1,0,-1,-1,0,2,1,1,1,1,3,1,0,0,1,0,0,4) 184 630 (0,72,79,277,622) (2,2,1,1,3,3,-1,-1,1,-1,-1,1,2,0,0,3,-1,-1,1,-1,-1,1,2,0,0,3,3,4,2,0,0,2,0,0,4) 185 630 (0,72,79,286,622) (2,2,2,2,3,3,-1,-1,1,-1,-1,1,2,0,0,3,-1,-1,1,-1,-1,1,2,0,0,2,2,4,2,0,0,2,0,0,4) 186 2520 (0,7,72,281,349) (3,3,1,1,3,2,0,0,2,2,2,2,2,0,0,2,0,0,2,3,3,2,2,0,0,1,1,4,3,1,1,3,1,1,4) 187 1260 (0,7,72,90,349) (3,3,2,2,3,1,0,0,1,2,2,1,2,0,0,1,0,0,1,2,2,1,2,0,0,1,1,3,3,1,1,3,1,1,4) 188 1260 (0,7,30,72,349) (2,2,1,1,3,1,0,0,1,2,2,1,2,0,0,1,0,0,1,2,2,1,2,0,0,1,1,3,3,1,1,3,1,1,4) 189 1260 (0,7,31,79,357) (1,1,2,3,2,2,2,0,0,2,0,0,1,1,1,2,2,0,0,2,0,0,1,1,1,3,3,4,1,1,1,1,1,1,3) 190 630 (0,7,72,79,398) (1,1,1,1,2,3,0,0,1,0,0,1,3,1,1,3,2,2,1,2,2,1,3,1,1,2,2,4,2,0,0,2,0,0,4) 191 630 (0,19,70,79,381) (1,1,2,1,1,3,1,2,2,1,2,2,1,1,3,4,1,0,0,1,0,0,1,1,3,3,2,2,0,0,2,0,0,2,4) 192 1260 (0,72,107,141,285) (2,1,1,1,1,1,2,2,1,0,0,2,2,0,0,1,1,1,1,1,1,2,3,1,1,0,0,2,2,0,0,3,1,1,4) 193 2520 (0,7,72,107,141) (1,0,1,1,0,0,1,1,0,0,0,1,2,0,0,0,1,1,0,1,1,1,3,1,1,0,0,2,2,0,0,3,1,1,4) 194 1260 (0,70,90,99,126) (1,2,1,2,2,0,1,0,0,0,1,1,0,0,2,0,1,0,0,0,1,1,0,0,2,1,1,1,1,1,3,1,1,3,4) 195 1260 (7,31,79,130,278) (1,1,0,2,0,2,0,1,0,0,1,0,0,1,0,3,1,1,1,1,1,1,0,1,0,3,2,4,0,1,0,0,1,0,1) 196 420 (0,19,35,79,100) (0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,3,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4) 197 840 (0,19,35,64,116) (1,2,0,0,0,2,1,1,1,1,1,1,1,1,1,3,0,0,0,1,1,1,2,2,2,1,1,1,1,1,1,2,2,2,4) 198 420 (0,35,63,79,162) (2,2,1,1,1,2,0,0,0,0,0,0,2,2,2,3,1,1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,4) 199 630 (0,7,79,162,622) (2,2,2,2,3,2,-1,-1,0,-1,-1,0,2,1,1,2,-1,-1,0,-1,-1,0,2,1,1,2,2,4,1,0,0,1,0,0,4) 200 1260 (0,35,63,70,79) (1,1,0,0,0,2,0,0,0,0,0,0,1,1,2,3,1,1,1,1,1,1,1,1,2,2,2,2,1,1,2,1,1,2,4) 201 630 (0,70,79,100,162) (1,1,1,1,1,2,0,0,0,0,0,0,1,1,2,2,0,0,0,0,0,0,1,1,2,2,2,2,1,1,2,1,1,2,4) 202 420 (0,19,35,63,70) (1,1,0,0,0,1,0,0,0,0,0,0,1,1,2,3,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,1,1,2,4) 203 1260 (0,19,35,64,70) (1,1,0,0,0,2,1,1,1,1,1,1,1,1,2,2,0,0,0,0,0,0,1,1,2,1,1,1,1,1,2,1,1,2,4) 204 1260 (0,19,35,70,79) (0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,2,0,0,0,0,0,0,1,1,2,1,1,1,1,1,2,1,1,2,4) 205 315 (0,7,72,79,622) (1,1,1,1,2,2,-1,-1,0,-1,-1,0,2,0,0,2,-1,-1,0,-1,-1,0,2,0,0,2,2,4,2,0,0,2,0,0,4) 206 630 (0,7,72,90,622) (2,2,2,2,3,1,-1,-1,0,-1,-1,0,2,0,0,1,-1,-1,0,-1,-1,0,2,0,0,1,1,3,2,0,0,2,0,0,4) 207 315 (0,7,30,72,622) (1,1,1,1,3,1,-1,-1,0,-1,-1,0,2,0,0,1,-1,-1,0,-1,-1,0,2,0,0,1,1,3,2,0,0,2,0,0,4) 208 315 (0,79,90,277,286) (3,3,2,2,3,3,0,0,2,0,0,2,0,0,0,3,0,0,2,0,0,2,0,0,0,2,2,3,0,0,0,0,0,0,1) 209 1260 (79,90,91,100,132) (1,1,2,2,2,2,0,0,0,0,0,0,1,1,2,2,0,0,0,0,0,0,1,1,2,3,3,3,2,3,2,2,3,2,3) 210 1260 (0,79,156,277,286) (2,2,2,2,3,3,0,0,2,0,0,2,1,1,1,3,0,0,3,0,0,3,1,1,1,2,2,3,0,0,0,0,0,0,2) 211 2520 (0,7,46,107,281) (1,1,1,1,1,1,0,0,1,0,0,2,1,0,0,1,1,1,1,3,3,2,3,2,2,0,0,3,1,0,0,2,1,1,3) 212 1260 (0,36,84,119,298) (2,1,2,0,0,1,2,0,0,2,3,3,1,1,2,2,2,1,1,1,1,1,0,0,1,1,1,1,0,0,1,2,2,3,3) 213 2520 (0,7,46,140,281) (1,2,2,2,1,1,0,0,1,1,1,1,2,0,0,1,1,1,1,3,3,1,3,1,1,0,0,2,2,0,0,2,0,0,3) 214 2520 (0,7,46,140,286) (1,2,3,3,1,1,0,0,1,1,1,1,2,0,0,1,1,1,1,2,2,1,3,1,1,0,0,2,2,0,0,2,0,0,3) 215 1260 (0,63,70,158,279) (2,2,2,1,1,2,1,0,0,1,0,0,1,1,2,3,3,1,1,3,1,1,1,1,2,2,2,2,0,0,1,0,0,1,3) 216 1260 (0,63,70,162,279) (3,3,2,1,1,2,1,0,0,1,0,0,1,1,2,3,2,1,1,2,1,1,1,1,2,2,2,2,0,0,1,0,0,1,3) 217 630 (79,90,91,100,162) (2,2,2,2,2,2,0,0,0,0,0,0,1,1,2,2,0,0,0,0,0,0,1,1,2,3,3,3,2,2,2,2,2,2,3) 218 630 (0,72,79,277,286) (2,2,1,1,2,3,0,0,2,0,0,2,1,0,0,3,0,0,2,0,0,2,1,0,0,2,2,3,1,0,0,1,0,0,2) 219 1260 (0,72,107,281,285) (2,2,0,0,2,2,1,1,2,0,0,3,1,0,0,2,0,0,2,2,2,3,2,1,1,0,0,3,1,0,0,2,1,1,3) 220 630 (70,75,91,204,259) (2,2,2,1,1,1,1,1,1,2,0,0,0,0,3,1,1,1,1,2,0,0,0,0,3,3,1,1,1,1,3,3,3,2,2) 221 1260 (0,70,79,123,279) (1,1,1,0,0,2,1,0,0,1,0,0,0,0,2,3,1,1,1,1,1,1,0,0,2,2,3,3,0,0,2,0,0,2,3) 222 630 (0,79,90,100,286) (2,2,2,2,2,3,0,0,1,0,0,1,0,0,0,3,0,0,1,0,0,1,0,0,0,2,2,3,1,1,1,1,1,1,2) 223 2520 (0,7,14,36,95) (0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,3,1,0,0,1,1,2,3,1,1,2,2,2,3,3) 224 1260 (0,7,36,90,95) (1,1,1,1,1,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,2,1,0,0,1,1,2,3,1,1,2,2,2,3,3) 225 2520 (0,14,28,36,107) (0,0,0,0,0,0,1,0,0,0,1,2,0,0,1,0,0,0,0,1,3,2,1,1,2,0,1,2,0,0,1,2,2,3,3) 226 2520 (0,7,14,42,95) (0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,2,0,0,1,0,2,1,3,2,3,2,1,2,1,3) 227 1260 (0,7,36,90,99) (1,1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,2,3,1,1,2,2,2,3,3) 228 5040 (0,7,14,42,131) (0,0,0,0,0,1,2,0,2,1,0,1,0,2,0,0,1,0,1,0,1,0,0,2,0,2,0,3,1,3,1,0,2,0,3) 229 5040 (0,7,31,37,130) (0,0,0,1,0,0,0,0,0,1,0,1,0,2,0,1,1,0,1,2,0,2,0,2,0,2,0,3,0,2,0,1,3,1,3) 230 2520 (0,7,46,79,157) (0,0,2,2,1,1,0,0,0,0,0,0,2,1,1,1,1,2,0,1,2,0,3,2,2,1,1,2,1,0,0,1,0,0,3) 231 2520 (0,19,41,79,159) (0,0,1,2,2,1,0,1,2,0,1,2,2,2,3,2,0,0,0,0,0,0,1,1,2,1,1,1,0,0,1,0,0,1,3) 232 2520 (0,7,46,64,107) (1,1,1,1,0,2,1,1,1,1,1,2,1,0,0,1,1,1,0,2,2,1,3,2,2,1,1,3,1,0,0,2,1,1,3) 233 1260 (0,36,69,84,119) (3,1,2,1,1,1,2,1,1,1,2,2,1,1,2,2,2,2,2,0,1,1,0,0,1,0,1,1,0,0,1,2,2,3,3) 234 1260 (7,72,107,141,285) (2,1,1,1,1,1,2,2,1,0,0,2,2,0,0,1,1,1,1,1,1,2,3,1,1,0,0,3,2,0,0,3,1,1,3) 235 1260 (0,31,79,130,278) (1,1,0,2,0,2,0,1,0,0,1,0,0,1,0,3,1,1,1,1,1,1,0,1,0,3,2,3,0,1,0,0,1,0,2) 236 630 (0,72,79,100,286) (1,1,1,1,1,3,0,0,1,0,0,1,1,0,0,3,0,0,1,0,0,1,1,0,0,2,2,3,2,1,1,2,1,1,3) 237 2520 (0,7,46,72,281) (1,1,1,1,1,1,0,0,1,0,0,1,2,0,0,1,1,1,1,2,2,1,3,1,1,0,0,2,2,0,0,2,0,0,3) 238 1260 (0,36,70,84,298) (2,1,1,0,0,1,1,0,0,1,2,2,0,0,2,2,2,1,1,1,1,1,0,0,2,1,1,1,0,0,2,1,1,3,3) 239 1260 (0,7,46,72,286) (1,1,2,2,1,1,0,0,1,0,0,1,2,0,0,1,1,1,1,1,1,1,3,1,1,0,0,2,2,0,0,2,0,0,3) 240 1260 (0,19,41,70,298) (1,1,1,1,1,1,1,1,1,1,2,2,1,1,3,2,1,0,0,1,0,0,0,0,2,1,0,0,0,0,2,0,0,2,3) 241 1260 (0,36,69,70,84) (3,1,1,1,1,1,1,1,1,0,1,1,0,0,2,2,2,2,2,0,1,1,0,0,2,0,1,1,0,0,2,1,1,3,3) 242 1260 (0,7,46,64,72) (1,1,1,1,0,2,1,1,1,1,1,1,2,0,0,1,1,1,0,1,1,0,3,1,1,1,1,2,2,0,0,2,0,0,3) 243 1260 (0,7,46,72,79) (0,0,1,1,0,1,0,0,0,0,0,0,2,0,0,1,1,1,0,1,1,0,3,1,1,1,1,2,2,0,0,2,0,0,3) 244 420 (0,19,35,64,79) (1,1,0,0,0,3,1,1,1,1,1,1,1,1,1,3,0,0,0,0,0,0,1,1,1,2,2,2,1,1,1,1,1,1,3) 245 1260 (0,19,41,70,79) (0,0,0,1,1,1,0,1,1,0,1,1,1,1,3,2,0,0,0,0,0,0,0,0,2,1,1,1,0,0,2,0,0,2,3) 246 630 (0,7,90,95,99) (1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,2,3,2,2,2,2,2,2,3) 247 630 (0,7,30,95,99) (0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,2,3,2,2,2,2,2,2,3) 248 1260 (0,7,72,281,285) (2,2,0,0,2,2,1,1,2,0,0,2,1,0,0,2,0,0,2,1,1,2,1,0,0,0,0,3,1,0,0,1,0,0,2) 249 1260 (0,69,70,84,119) (3,1,2,1,1,1,2,1,1,1,1,1,1,1,2,2,2,2,2,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,3) 250 1260 (0,63,70,79,162) (2,2,1,1,1,2,0,0,0,0,0,0,1,1,2,3,1,1,1,1,1,1,1,1,2,2,2,2,0,0,1,0,0,1,3) 251 1260 (0,7,14,18,302) (1,1,1,1,2,0,2,0,1,0,2,1,0,1,1,0,3,0,1,0,3,1,0,1,1,1,1,3,1,2,2,1,2,2,3) 252 1260 (0,7,14,28,302) (1,1,1,1,2,0,3,0,1,0,2,1,0,1,1,0,2,0,1,0,3,1,0,1,1,1,1,3,1,2,2,1,2,2,3) 253 2520 (0,7,14,25,325) (2,1,1,0,0,1,1,0,0,3,1,1,1,1,2,2,2,1,1,1,3,2,0,0,1,1,2,3,0,0,1,1,1,2,3) 254 2520 (0,7,14,25,368) (0,0,1,1,2,1,2,0,1,3,0,1,1,2,2,1,0,2,1,0,3,1,1,2,2,1,1,3,0,1,1,0,1,1,3) 255 2520 (0,7,14,28,358) (1,1,0,0,2,1,3,2,2,0,0,2,1,1,1,1,0,0,2,2,3,2,1,1,1,0,0,3,1,1,1,1,1,1,3) 256 5040 (0,7,14,42,140) (0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,1,1,2,0,1,1,0,1,0,2,2,2,1,1,1,0,3) 257 2520 (0,7,36,90,141) (2,1,2,2,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,2,1,0,1,2,1,2,3) 258 2520 (0,7,31,37,141) (1,0,1,2,0,0,1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,1,0,1,0,2,1,1,0,2,2,1,3) 259 2520 (0,7,31,37,278) (1,1,0,2,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,2,1,3,0,1,0,1,2,1,2) 260 2520 (0,7,64,72,107) (1,1,0,0,0,2,1,1,1,1,1,2,1,0,0,1,0,0,0,1,1,1,2,1,1,1,1,3,1,0,0,2,1,1,3) 261 2520 (0,19,64,70,116) (1,2,0,0,0,2,1,1,1,1,1,1,0,0,1,3,0,0,0,1,1,1,1,1,2,1,1,1,0,0,1,1,1,2,3) 262 2520 (0,7,72,107,281) (1,1,0,0,1,1,0,0,1,0,0,2,1,0,0,1,0,0,1,2,2,2,2,1,1,0,0,3,1,0,0,2,1,1,3) 263 1260 (0,72,79,156,286) (1,1,2,2,2,2,0,0,1,0,0,1,2,1,1,2,0,0,2,0,0,2,2,1,1,1,1,2,1,0,0,1,0,0,3) 264 1260 (7,31,79,130,158) (0,0,1,2,1,1,0,0,0,0,0,0,1,2,1,2,2,0,1,2,0,1,1,2,1,2,1,3,0,1,0,0,1,0,2) 265 1260 (0,19,70,79,100) (0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,1,2,2,2,1,1,2,1,1,2,3) 266 630 (0,7,72,90,162) (2,2,2,2,2,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,2,1,1,0,0,1,1,0,0,1,0,0,3) 267 5040 (0,7,14,95,140) (0,1,1,1,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,1,3,0,1,0,0,1,1,2,2,1,1,2,1,1,3) 268 2520 (0,7,90,95,140) (1,2,2,2,1,0,0,0,0,1,2,0,1,0,0,0,0,0,0,1,2,0,1,0,0,1,1,2,2,1,1,2,1,1,3) 269 2520 (0,7,31,130,158) (0,0,1,2,1,0,0,0,0,0,0,0,1,2,1,1,2,0,1,2,0,1,1,2,1,1,0,2,0,1,0,0,1,0,3) 270 2520 (0,7,107,141,285) (2,1,1,1,1,1,2,2,1,0,0,2,1,0,0,1,1,1,1,1,1,2,2,1,1,0,0,3,1,0,0,2,1,1,3) 271 2520 (0,7,72,107,285) (1,1,0,0,1,1,1,1,1,0,0,2,1,0,0,1,0,0,1,1,1,2,2,1,1,0,0,3,1,0,0,2,1,1,3) 272 1260 (0,72,79,156,277) (1,1,1,1,2,2,0,0,1,0,0,1,2,1,1,2,0,0,2,0,0,2,2,1,1,2,2,2,1,0,0,1,0,0,3) 273 1260 (0,19,79,130,160) (0,0,1,1,1,1,0,1,0,0,1,0,1,2,1,3,1,0,1,1,0,1,1,2,1,2,1,2,0,1,0,0,1,0,3) 274 630 (0,72,90,100,286) (2,2,2,2,2,2,0,0,1,0,0,1,1,0,0,2,0,0,1,0,0,1,1,0,0,1,1,2,2,1,1,2,1,1,3) 275 1260 (0,19,41,79,300) (1,1,1,2,2,2,1,1,1,1,1,1,1,1,2,3,1,0,0,1,0,0,0,0,1,2,1,1,0,0,1,0,0,1,2) 276 1260 (0,7,46,79,286) (1,1,2,2,1,2,0,0,1,0,0,1,1,0,0,2,1,1,1,1,1,1,2,1,1,1,1,3,1,0,0,1,0,0,2) 277 5040 (0,7,14,131,157) (0,0,1,1,1,1,1,0,1,1,0,1,1,2,1,0,0,1,0,0,2,0,1,2,1,1,0,2,0,1,0,0,1,0,3) 278 2520 (0,7,31,130,278) (1,1,0,2,0,1,0,1,0,0,1,0,0,1,0,2,1,1,1,1,1,1,0,1,0,2,1,3,0,1,0,0,1,0,2) 279 2520 (0,7,31,79,130) (0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,1,0,1,1,0,1,0,1,0,2,1,3,0,1,0,0,1,0,2) 280 1260 (0,19,70,79,300) (1,1,1,1,1,2,1,0,0,1,0,0,0,0,1,3,1,0,0,1,0,0,0,0,1,2,1,1,0,0,1,0,0,1,2) 281 1260 (0,7,31,90,278) (2,2,1,3,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0,1) 282 630 (0,7,72,79,162) (1,1,1,1,1,1,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,2,1,1,1,1,2,1,0,0,1,0,0,3) 283 2520 (0,7,72,140,281) (1,2,1,1,1,1,0,0,1,1,1,1,2,0,0,1,0,0,1,2,2,1,2,0,0,0,0,2,2,0,0,2,0,0,3) 284 1260 (0,7,72,140,286) (1,2,2,2,1,1,0,0,1,1,1,1,2,0,0,1,0,0,1,1,1,1,2,0,0,0,0,2,2,0,0,2,0,0,3) 285 1260 (0,7,72,90,140) (1,2,2,2,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,1,1,0,2,0,0,0,0,1,2,0,0,2,0,0,3) 286 1260 (0,7,31,79,278) (1,1,0,2,0,2,0,1,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,2,2,3,0,0,0,0,0,0,1) 287 105 (0,79,90,100,162) (2,2,2,2,2,2,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,1,1,1,2,2,2,1,1,1,1,1,1,3) 288 630 (0,7,79,90,162) (2,2,2,2,2,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,2,0,0,0,0,0,0,2) 289 840 (0,7,14,18,36) (0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,2,1,0,0,1,0,1,2,0,0,1,1,1,2,2) 290 2520 (0,7,14,28,36) (0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,2,1,0,0,1,0,1,2,0,0,1,1,1,2,2) 291 2520 (0,7,31,37,90) (1,1,1,2,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,2,0,1,0,1,2,1,2) 292 2520 (0,7,14,25,123) (0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,2,1,0,0,1,0,1,2,0,0,1,0,0,1,2) 293 5040 (0,7,14,28,107) (0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,2,1,1,1,1,0,0,2,0,0,0,1,1,1,2) 294 1260 (0,7,30,90,95) (1,1,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,2,1,1,1,1,1,1,2) 295 2520 (0,7,31,79,158) (0,0,1,2,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,1,2,0,0,0,0,0,0,2) 296 315 (0,7,30,72,79) (0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,2,1,0,0,1,0,0,2) 297 630 (0,7,31,79,90) (1,1,1,2,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,1) 298 630 (0,7,14,18,25) (0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1) 299 420 (0,7,14,25,34) (1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1)

### Dimension 11

 Index Orbit size Rays Plücker coordinates 0 1260 (35,91,330,339) (3,3,3,3,2,3,1,1,0,1,1,0,4,3,6,3,1,1,0,1,1,0,4,3,6,4,4,3,5,6,4,5,6,4,7) 1 1260 (35,100,330,339) (3,3,3,3,2,4,1,1,0,1,1,0,4,3,5,4,1,1,0,1,1,0,4,3,5,4,4,3,5,6,4,5,6,4,7) 2 1260 (91,100,330,339) (3,3,3,3,2,4,1,1,0,1,1,0,3,2,5,4,1,1,0,1,1,0,3,2,5,5,5,4,5,6,4,5,6,4,6) 3 630 (91,132,330,339) (3,3,4,4,3,3,1,1,0,1,1,0,4,3,6,3,1,1,0,1,1,0,4,3,6,4,4,3,4,6,3,4,6,3,6) 4 1260 (91,162,330,339) (4,4,4,4,3,3,1,1,0,1,1,0,4,3,6,3,1,1,0,1,1,0,4,3,6,4,4,3,4,5,3,4,5,3,6) 5 2520 (0,36,311,320) (3,3,3,3,2,1,3,1,0,1,4,5,1,0,3,1,3,1,0,1,4,5,1,0,3,3,4,3,3,2,5,4,3,6,6) 6 630 (35,91,100,330) (1,1,2,1,1,3,1,0,0,1,0,0,2,2,4,3,1,0,0,1,0,0,2,2,4,4,3,3,5,5,4,5,5,4,6) 7 1260 (35,91,100,339) (2,2,1,2,1,2,0,1,0,0,1,0,3,2,4,2,0,1,0,0,1,0,3,2,4,3,4,3,4,5,4,4,5,4,6) 8 630 (100,162,330,339) (4,4,4,4,3,4,1,1,0,1,1,0,4,3,5,4,1,1,0,1,1,0,4,3,5,4,4,3,4,5,3,4,5,3,6) 9 2520 (0,94,311,320) (3,3,3,3,2,1,3,1,0,1,3,5,1,0,2,1,3,1,0,1,3,5,1,0,2,4,4,3,4,3,5,4,3,5,6) 10 2520 (0,99,311,320) (3,3,3,3,2,1,4,1,0,1,3,4,1,0,2,1,4,1,0,1,3,4,1,0,2,4,4,3,4,3,5,4,3,5,6) 11 1260 (35,91,162,339) (3,3,2,3,2,1,0,1,0,0,1,0,4,3,5,1,0,1,0,0,1,0,4,3,5,2,3,2,3,4,3,3,4,3,6) 12 630 (35,91,162,330) (2,2,3,2,2,2,1,0,0,1,0,0,3,3,5,2,1,0,0,1,0,0,3,3,5,3,2,2,4,4,3,4,4,3,6) 13 630 (35,70,162,330) (2,2,3,2,2,2,1,0,0,1,0,0,3,3,5,2,1,0,0,1,0,0,3,3,5,2,1,1,3,3,3,3,3,3,6) 14 2520 (0,126,311,320) (3,4,3,4,3,1,3,1,0,1,4,5,1,0,3,1,3,1,0,1,4,5,1,0,3,3,3,2,3,2,5,3,2,5,6) 15 630 (35,70,91,330) (1,1,2,1,1,2,1,0,0,1,0,0,2,2,5,2,1,0,0,1,0,0,2,2,5,3,2,2,4,4,4,4,4,4,6) 16 630 (35,70,100,330) (1,1,2,1,1,3,1,0,0,1,0,0,2,2,4,3,1,0,0,1,0,0,2,2,4,3,2,2,4,4,4,4,4,4,6) 17 630 (35,100,162,330) (2,2,3,2,2,3,1,0,0,1,0,0,3,3,4,3,1,0,0,1,0,0,3,3,4,3,2,2,4,4,3,4,4,3,6) 18 1260 (35,91,204,330) (2,2,3,1,1,3,2,0,0,2,0,0,2,2,4,3,2,0,0,2,0,0,2,2,4,4,2,2,4,4,3,5,5,3,5) 19 1260 (35,100,204,330) (2,2,3,1,1,4,2,0,0,2,0,0,2,2,3,4,2,0,0,2,0,0,2,2,3,4,2,2,4,4,3,5,5,3,5) 20 1260 (91,100,132,330) (1,1,3,2,2,3,1,0,0,1,0,0,2,2,4,3,1,0,0,1,0,0,2,2,4,4,3,3,4,5,3,4,5,3,5) 21 2520 (0,36,94,311) (1,1,1,2,1,0,2,1,0,0,2,4,1,0,2,0,2,1,0,0,2,4,1,0,2,2,4,3,3,2,4,4,3,5,5) 22 2520 (0,36,99,311) (1,1,1,2,1,0,3,1,0,0,2,3,1,0,2,0,3,1,0,0,2,3,1,0,2,2,4,3,3,2,4,4,3,5,5) 23 1260 (91,100,132,339) (2,2,2,3,2,2,0,1,0,0,1,0,3,2,4,2,0,1,0,0,1,0,3,2,4,3,4,3,3,5,3,3,5,3,5) 24 2520 (0,36,94,320) (2,2,2,1,1,1,1,0,0,1,3,4,0,0,2,1,1,0,0,1,3,4,0,0,2,3,3,3,2,2,4,3,3,5,5) 25 1260 (0,36,99,320) (2,2,2,1,1,1,2,0,0,1,3,3,0,0,2,1,2,0,0,1,3,3,0,0,2,3,3,3,2,2,4,3,3,5,5) 26 2520 (0,36,126,311) (1,2,1,3,2,0,2,1,0,0,3,4,1,0,3,0,2,1,0,0,3,4,1,0,3,1,3,2,2,1,4,3,2,5,5) 27 630 (70,91,162,330) (2,2,3,2,2,2,1,0,0,1,0,0,2,2,5,2,1,0,0,1,0,0,2,2,5,3,2,2,3,3,3,3,3,3,5) 28 1260 (0,36,126,320) (2,3,2,2,2,1,1,0,0,1,4,4,0,0,3,1,1,0,0,1,4,4,0,0,3,2,2,2,1,1,4,2,2,5,5) 29 1260 (0,36,70,320) (2,2,2,1,1,1,1,0,0,1,3,3,0,0,3,1,1,0,0,1,3,3,0,0,3,2,2,2,1,1,4,2,2,5,5) 30 630 (79,91,100,330) (1,1,2,1,1,4,1,0,0,1,0,0,1,1,3,4,1,0,0,1,0,0,1,1,3,5,4,4,4,4,3,4,4,3,4) 31 630 (91,100,162,330) (2,2,3,2,2,3,1,0,0,1,0,0,2,2,4,3,1,0,0,1,0,0,2,2,4,4,3,3,4,4,3,4,4,3,5) 32 630 (35,79,100,330) (1,1,2,1,1,4,1,0,0,1,0,0,2,2,3,4,1,0,0,1,0,0,2,2,3,4,3,3,4,4,3,4,4,3,5) 33 1260 (0,94,99,311) (1,1,1,2,1,0,3,1,0,0,1,3,1,0,1,0,3,1,0,0,1,3,1,0,1,3,4,3,4,3,4,4,3,4,5) 34 1260 (7,46,107,315) (1,0,3,2,0,1,1,2,1,0,1,3,2,0,1,0,3,2,0,3,4,2,5,3,4,0,1,4,2,0,1,4,2,3,4) 35 1260 (35,70,204,330) (2,2,3,1,1,3,2,0,0,2,0,0,2,2,4,3,2,0,0,2,0,0,2,2,4,3,1,1,3,3,3,4,4,3,5) 36 2520 (0,36,141,311) (2,1,2,3,1,0,3,2,0,0,2,3,2,0,2,0,3,2,0,0,2,3,2,0,2,1,3,2,3,1,3,4,2,4,5) 37 1260 (91,100,162,339) (3,3,2,3,2,2,0,1,0,0,1,0,3,2,4,2,0,1,0,0,1,0,3,2,4,3,4,3,3,4,3,3,4,3,5) 38 2520 (0,94,99,320) (2,2,2,1,1,1,2,0,0,1,2,3,0,0,1,1,2,0,0,1,2,3,0,0,1,4,3,3,3,3,4,3,3,4,5) 39 1260 (35,79,132,330) (1,1,3,2,2,3,1,0,0,1,0,0,3,3,4,3,1,0,0,1,0,0,3,3,4,3,2,2,3,4,2,3,4,2,5) 40 2520 (7,46,141,315) (2,0,4,3,0,1,2,3,1,0,1,2,3,0,1,0,4,3,0,2,3,1,5,2,3,0,1,3,3,0,1,4,1,2,4) 41 630 (35,79,162,330) (2,2,3,2,2,3,1,0,0,1,0,0,3,3,4,3,1,0,0,1,0,0,3,3,4,3,2,2,3,3,2,3,3,2,5) 42 630 (35,70,91,100) (0,0,0,0,0,1,0,0,0,0,0,0,1,1,3,1,0,0,0,0,0,0,1,1,3,2,2,2,3,3,4,3,3,4,5) 43 2520 (0,7,315,324) (3,1,3,1,0,3,3,3,2,1,3,4,1,0,2,1,3,1,0,3,3,2,3,2,4,1,3,5,1,0,2,3,2,4,5) 44 2520 (0,94,126,311) (1,2,1,3,2,0,2,1,0,0,2,4,1,0,2,0,2,1,0,0,2,4,1,0,2,2,3,2,3,2,4,3,2,4,5) 45 2520 (0,99,126,311) (1,2,1,3,2,0,3,1,0,0,2,3,1,0,2,0,3,1,0,0,2,3,1,0,2,2,3,2,3,2,4,3,2,4,5) 46 630 (70,91,100,616) (1,1,2,1,1,2,0,-1,-1,0,-1,-1,0,0,3,2,0,-1,-1,0,-1,-1,0,0,3,4,3,3,2,2,4,2,2,4,5) 47 630 (70,100,162,330) (2,2,3,2,2,3,1,0,0,1,0,0,2,2,4,3,1,0,0,1,0,0,2,2,4,3,2,2,3,3,3,3,3,3,5) 48 2520 (0,94,126,320) (2,3,2,2,2,1,1,0,0,1,3,4,0,0,2,1,1,0,0,1,3,4,0,0,2,3,2,2,2,2,4,2,2,4,5) 49 1260 (0,99,126,320) (2,3,2,2,2,1,2,0,0,1,3,3,0,0,2,1,2,0,0,1,3,3,0,0,2,3,2,2,2,2,4,2,2,4,5) 50 1260 (0,70,99,320) (2,2,2,1,1,1,2,0,0,1,2,2,0,0,2,1,2,0,0,1,2,2,0,0,2,3,2,2,2,2,4,2,2,4,5) 51 630 (35,70,79,330) (1,1,2,1,1,3,1,0,0,1,0,0,2,2,4,3,1,0,0,1,0,0,2,2,4,3,2,2,3,3,3,3,3,3,5) 52 1260 (0,63,79,380) (2,2,2,1,1,4,1,0,0,1,0,0,1,1,2,5,2,3,3,2,3,3,1,1,2,4,3,3,0,0,1,0,0,1,3) 53 630 (35,70,91,162) (1,1,1,1,1,0,0,0,0,0,0,0,2,2,4,0,0,0,0,0,0,0,2,2,4,1,1,1,2,2,3,2,2,3,5) 54 630 (70,91,162,616) (2,2,3,2,2,1,0,-1,-1,0,-1,-1,1,1,4,1,0,-1,-1,0,-1,-1,1,1,4,3,2,2,1,1,3,1,1,3,5) 55 1260 (0,70,126,320) (2,3,2,2,2,1,1,0,0,1,3,3,0,0,3,1,1,0,0,1,3,3,0,0,3,2,1,1,1,1,4,1,1,4,5) 56 630 (35,91,100,162) (1,1,1,1,1,1,0,0,0,0,0,0,2,2,3,1,0,0,0,0,0,0,2,2,3,2,2,2,3,3,3,3,3,3,5) 57 630 (91,100,162,616) (2,2,3,2,2,2,0,-1,-1,0,-1,-1,1,1,3,2,0,-1,-1,0,-1,-1,1,1,3,4,3,3,2,2,3,2,2,3,5) 58 315 (35,70,100,162) (1,1,1,1,1,1,0,0,0,0,0,0,2,2,3,1,0,0,0,0,0,0,2,2,3,1,1,1,2,2,3,2,2,3,5) 59 630 (0,35,70,100) (0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,1,1,2,1,1,1,2,2,3,2,2,3,5) 60 315 (70,100,162,616) (2,2,3,2,2,2,0,-1,-1,0,-1,-1,1,1,3,2,0,-1,-1,0,-1,-1,1,1,3,3,2,2,1,1,3,1,1,3,5) 61 630 (0,70,100,616) (1,1,2,1,1,2,0,-1,-1,0,-1,-1,0,0,2,2,0,-1,-1,0,-1,-1,0,0,2,3,2,2,1,1,3,1,1,3,5) 62 105 (0,35,100,162) (1,1,1,1,1,1,0,0,0,0,0,0,2,2,2,1,0,0,0,0,0,0,2,2,2,1,1,1,2,2,2,2,2,2,5) 63 315 (0,100,162,616) (2,2,3,2,2,2,0,-1,-1,0,-1,-1,1,1,2,2,0,-1,-1,0,-1,-1,1,1,2,3,2,2,1,1,2,1,1,2,5) 64 315 (0,281,285,358) (3,3,0,0,4,3,3,3,4,0,0,4,1,1,1,3,0,0,4,3,3,4,1,1,1,0,0,4,1,1,1,1,1,1,3) 65 1260 (79,100,132,330) (1,1,3,2,2,4,1,0,0,1,0,0,2,2,3,4,1,0,0,1,0,0,2,2,3,4,3,3,3,4,2,3,4,2,4) 66 1260 (79,91,132,330) (1,1,3,2,2,3,1,0,0,1,0,0,2,2,4,3,1,0,0,1,0,0,2,2,4,4,3,3,3,4,2,3,4,2,4) 67 1260 (35,91,100,204) (1,1,1,0,0,2,1,0,0,1,0,0,1,1,2,2,1,0,0,1,0,0,1,1,2,3,2,2,3,3,3,4,4,3,4) 68 2520 (0,36,279,325) (3,2,2,0,0,2,2,0,0,3,2,2,1,1,3,3,3,1,1,2,3,3,0,0,2,2,4,4,0,0,2,2,2,4,4) 69 2520 (0,63,156,380) (2,2,3,2,2,3,1,0,0,1,0,0,2,2,3,4,2,3,4,2,3,4,2,2,3,3,2,2,0,0,1,0,0,1,4) 70 1260 (79,132,162,330) (2,2,4,3,3,3,1,0,0,1,0,0,3,3,4,3,1,0,0,1,0,0,3,3,4,3,2,2,2,3,1,2,3,1,4) 71 2520 (0,36,94,99) (0,0,0,0,0,0,1,0,0,0,1,2,0,0,1,0,1,0,0,0,1,2,0,0,1,2,3,3,2,2,3,3,3,4,4) 72 1260 (0,107,281,358) (2,2,0,0,3,2,2,2,3,0,0,4,1,1,1,2,0,0,3,4,4,4,2,2,2,0,0,4,1,1,1,2,2,2,4) 73 2520 (7,107,141,315) (2,0,3,2,0,1,2,3,1,0,1,3,2,0,1,0,3,2,0,2,3,2,4,2,3,0,1,4,2,0,1,4,2,3,4) 74 1260 (0,107,285,358) (2,2,0,0,3,2,3,3,3,0,0,4,1,1,1,2,0,0,3,3,3,4,2,2,2,0,0,4,1,1,1,2,2,2,4) 75 1260 (0,7,36,302) (1,1,1,1,2,0,2,0,1,0,3,2,0,1,2,0,2,0,1,0,3,2,0,1,2,1,2,4,1,2,3,2,3,4,4) 76 5040 (0,7,36,315) (1,0,2,1,0,1,1,2,1,0,2,3,1,0,2,0,2,1,0,1,3,2,2,1,3,0,2,4,1,0,2,3,2,4,4) 77 5040 (0,7,46,315) (1,0,3,2,0,1,1,2,1,0,1,2,2,0,1,0,3,2,0,2,3,1,4,2,3,0,1,3,2,0,1,3,1,2,4) 78 630 (79,91,162,330) (2,2,3,2,2,3,1,0,0,1,0,0,2,2,4,3,1,0,0,1,0,0,2,2,4,4,3,3,3,3,2,3,3,2,4) 79 630 (70,79,162,330) (2,2,3,2,2,3,1,0,0,1,0,0,2,2,4,3,1,0,0,1,0,0,2,2,4,3,2,2,2,2,2,2,2,2,4) 80 630 (79,100,162,330) (2,2,3,2,2,4,1,0,0,1,0,0,2,2,3,4,1,0,0,1,0,0,2,2,3,4,3,3,3,3,2,3,3,2,4) 81 1260 (0,36,90,320) (3,3,3,2,2,1,1,0,0,1,3,3,0,0,2,1,1,0,0,1,3,3,0,0,2,2,2,2,1,1,3,2,2,4,4) 82 1260 (7,14,42,382) (0,1,1,2,0,1,2,0,3,2,1,1,1,2,0,0,3,1,2,1,3,0,2,3,1,2,0,4,3,4,2,1,2,0,3) 83 1260 (7,31,37,334) (1,0,1,3,0,0,1,2,0,3,1,2,2,3,1,1,2,1,1,2,0,3,1,2,0,2,0,4,1,2,0,3,4,2,3) 84 1260 (0,36,99,126) (0,1,0,1,1,0,1,0,0,0,2,2,0,0,2,0,1,0,0,0,2,2,0,0,2,1,2,2,1,1,3,2,2,4,4) 85 1260 (0,36,70,99) (0,0,0,0,0,0,1,0,0,0,1,1,0,0,2,0,1,0,0,0,1,1,0,0,2,1,2,2,1,1,3,2,2,4,4) 86 630 (0,79,277,355) (2,2,2,2,3,3,0,0,3,0,0,3,1,1,1,3,0,0,3,0,0,3,1,1,1,4,4,4,1,1,1,1,1,1,3) 87 630 (70,79,100,330) (1,1,2,1,1,4,1,0,0,1,0,0,1,1,3,4,1,0,0,1,0,0,1,1,3,4,3,3,3,3,3,3,3,3,4) 88 1260 (0,36,70,126) (0,1,0,1,1,0,0,0,0,0,2,2,0,0,3,0,0,0,0,0,2,2,0,0,3,0,1,1,0,0,3,1,1,4,4) 89 1260 (0,90,126,320) (3,4,3,3,3,1,1,0,0,1,3,3,0,0,2,1,1,0,0,1,3,3,0,0,2,2,1,1,1,1,3,1,1,3,4) 90 630 (0,79,286,355) (2,2,3,3,3,3,0,0,3,0,0,3,1,1,1,3,0,0,3,0,0,3,1,1,1,3,3,4,1,1,1,1,1,1,3) 91 630 (35,79,132,162) (1,1,2,2,2,1,0,0,0,0,0,0,3,3,3,1,0,0,0,0,0,0,3,3,3,1,1,1,1,2,1,1,2,1,4) 92 1260 (35,70,91,204) (1,1,1,0,0,1,1,0,0,1,0,0,1,1,3,1,1,0,0,1,0,0,1,1,3,2,1,1,2,2,3,3,3,3,4) 93 1260 (35,70,100,204) (1,1,1,0,0,2,1,0,0,1,0,0,1,1,2,2,1,0,0,1,0,0,1,1,2,2,1,1,2,2,3,3,3,3,4) 94 1260 (0,7,95,302) (1,1,1,1,2,0,2,0,1,0,3,1,0,1,1,0,2,0,1,0,3,1,0,1,1,2,2,4,2,3,3,2,3,3,4) 95 1260 (0,63,70,325) (3,2,1,0,0,2,1,0,0,2,1,1,1,1,3,4,3,2,2,2,3,3,0,0,2,2,3,3,0,0,2,1,1,3,4) 96 5040 (0,7,107,315) (1,0,2,1,0,1,1,2,1,0,1,3,1,0,1,0,2,1,0,2,3,2,3,2,3,0,1,4,1,0,1,3,2,3,4) 97 2520 (0,7,281,358) (2,2,0,0,3,2,2,2,3,0,0,3,1,1,1,2,0,0,3,3,3,3,1,1,1,0,0,4,1,1,1,1,1,1,3) 98 2520 (0,36,94,141) (1,0,1,1,0,0,1,1,0,0,1,2,1,0,1,0,1,1,0,0,1,2,1,0,1,1,2,2,2,1,2,3,2,3,4) 99 2520 (0,36,99,141) (1,0,1,1,0,0,2,1,0,0,1,1,1,0,1,0,2,1,0,0,1,1,1,0,1,1,2,2,2,1,2,3,2,3,4) 100 315 (90,91,100,616) (2,2,3,2,2,2,0,-1,-1,0,-1,-1,0,0,2,2,0,-1,-1,0,-1,-1,0,0,2,4,3,3,2,2,3,2,2,3,4) 101 315 (0,277,286,622) (3,3,2,2,4,3,-1,-1,2,-1,-1,2,1,0,0,3,-1,-1,2,-1,-1,2,1,0,0,2,2,4,1,0,0,1,0,0,3) 102 2520 (0,7,95,349) (2,2,1,1,2,1,0,0,1,2,3,1,1,0,0,1,0,0,1,2,3,1,1,0,0,2,2,4,3,2,2,3,2,2,4) 103 5040 (0,7,107,324) (2,1,1,0,0,2,2,1,1,1,2,3,0,0,1,1,1,0,0,3,2,2,2,2,3,1,2,4,0,0,1,2,2,3,4) 104 2520 (0,90,94,320) (3,3,3,2,2,1,1,0,0,1,2,3,0,0,1,1,1,0,0,1,2,3,0,0,1,3,2,2,2,2,3,2,2,3,4) 105 2520 (7,14,131,382) (0,1,1,2,0,2,2,0,3,3,1,2,1,2,0,0,2,1,1,1,3,0,2,3,1,2,0,4,2,3,1,1,2,0,3) 106 2520 (7,31,130,334) (1,0,1,3,0,0,1,2,0,2,1,1,2,3,1,2,3,1,2,2,0,3,1,2,0,2,0,4,1,2,0,2,3,1,3) 107 1260 (0,90,99,320) (3,3,3,2,2,1,2,0,0,1,2,2,0,0,1,1,2,0,0,1,2,2,0,0,1,3,2,2,2,2,3,2,2,3,4) 108 630 (70,91,100,162) (1,1,1,1,1,1,0,0,0,0,0,0,1,1,3,1,0,0,0,0,0,0,1,1,3,2,2,2,2,2,3,2,2,3,4) 109 630 (91,100,132,162) (1,1,2,2,2,1,0,0,0,0,0,0,2,2,3,1,0,0,0,0,0,0,2,2,3,2,2,2,2,3,2,2,3,2,4) 110 630 (35,79,100,132) (0,0,1,1,1,2,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,3,2,2,3,2,4) 111 630 (35,70,79,100) (0,0,0,0,0,2,0,0,0,0,0,0,1,1,2,2,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,2,2,3,4) 112 2520 (0,94,99,126) (0,1,0,1,1,0,1,0,0,0,1,2,0,0,1,0,1,0,0,0,1,2,0,0,1,2,2,2,2,2,3,2,2,3,4) 113 630 (35,70,90,91) (1,1,1,1,1,0,0,0,0,0,0,0,1,1,3,0,0,0,0,0,0,0,1,1,3,1,1,1,2,2,3,2,2,3,4) 114 1260 (7,46,72,141) (1,0,2,2,0,0,1,1,0,0,0,0,3,0,0,0,2,2,0,1,1,0,4,1,1,0,0,1,3,0,0,3,0,0,3) 115 1260 (7,46,107,141) (1,0,2,2,0,0,1,1,0,0,0,1,2,0,0,0,2,2,0,2,2,1,4,2,2,0,0,2,2,0,0,3,1,1,3) 116 1260 (35,64,70,116) (1,2,0,0,0,2,1,1,1,1,1,1,1,1,2,2,0,0,0,1,1,1,2,2,3,1,1,1,1,1,2,2,2,3,4) 117 1260 (0,63,79,123) (1,1,0,0,0,2,0,0,0,0,0,0,0,0,1,4,1,2,2,1,2,2,0,0,1,2,3,3,0,0,1,0,0,1,2) 118 630 (35,70,79,162) (1,1,1,1,1,1,0,0,0,0,0,0,2,2,3,1,0,0,0,0,0,0,2,2,3,1,1,1,1,1,2,1,1,2,4) 119 5040 (0,7,141,315) (2,0,3,2,0,1,2,3,1,0,1,2,2,0,1,0,3,2,0,1,2,1,3,1,2,0,1,3,2,0,1,3,1,2,4) 120 2520 (0,7,107,358) (1,1,0,0,2,1,2,2,2,0,0,3,1,1,1,1,0,0,2,3,3,3,2,2,2,0,0,4,1,1,1,2,2,2,4) 121 630 (90,91,162,616) (3,3,4,3,3,1,0,-1,-1,0,-1,-1,1,1,3,1,0,-1,-1,0,-1,-1,1,1,3,3,2,2,1,1,2,1,1,2,4) 122 630 (70,79,91,616) (1,1,2,1,1,2,0,-1,-1,0,-1,-1,0,0,3,2,0,-1,-1,0,-1,-1,0,0,3,4,3,3,1,1,3,1,1,3,4) 123 630 (79,100,162,616) (2,2,3,2,2,3,0,-1,-1,0,-1,-1,1,1,2,3,0,-1,-1,0,-1,-1,1,1,2,4,3,3,1,1,2,1,1,2,4) 124 630 (0,79,100,616) (1,1,2,1,1,3,0,-1,-1,0,-1,-1,0,0,1,3,0,-1,-1,0,-1,-1,0,0,1,4,3,3,1,1,2,1,1,2,4) 125 210 (91,204,259,628) (4,3,3,2,2,1,1,1,1,2,-1,-1,-1,-1,3,1,1,1,1,2,-1,-1,-1,-1,3,4,1,1,1,1,4,3,3,2,2) 126 630 (79,91,162,616) (2,2,3,2,2,2,0,-1,-1,0,-1,-1,1,1,3,2,0,-1,-1,0,-1,-1,1,1,3,4,3,3,1,1,2,1,1,2,4) 127 630 (70,90,91,616) (2,2,3,2,2,1,0,-1,-1,0,-1,-1,0,0,3,1,0,-1,-1,0,-1,-1,0,0,3,3,2,2,1,1,3,1,1,3,4) 128 630 (0,79,277,622) (2,2,1,1,3,3,-1,-1,1,-1,-1,1,1,0,0,3,-1,-1,1,-1,-1,1,1,0,0,3,3,4,1,0,0,1,0,0,3) 129 630 (0,100,286,622) (2,2,2,2,3,3,-1,-1,1,-1,-1,1,1,0,0,3,-1,-1,1,-1,-1,1,1,0,0,2,2,4,2,1,1,2,1,1,4) 130 630 (70,79,162,616) (2,2,3,2,2,2,0,-1,-1,0,-1,-1,1,1,3,2,0,-1,-1,0,-1,-1,1,1,3,3,2,2,0,0,2,0,0,2,4) 131 630 (0,79,286,622) (2,2,2,2,3,3,-1,-1,1,-1,-1,1,1,0,0,3,-1,-1,1,-1,-1,1,1,0,0,2,2,4,1,0,0,1,0,0,3) 132 2520 (0,70,279,325) (3,2,2,0,0,2,2,0,0,3,1,1,1,1,3,3,3,1,1,2,2,2,0,0,2,2,3,3,0,0,2,1,1,3,4) 133 1260 (0,7,140,349) (2,3,2,2,2,1,0,0,1,3,3,1,2,0,0,1,0,0,1,3,3,1,2,0,0,1,1,3,3,1,1,3,1,1,4) 134 1260 (0,7,72,349) (2,2,1,1,2,1,0,0,1,2,2,1,2,0,0,1,0,0,1,2,2,1,2,0,0,1,1,3,3,1,1,3,1,1,4) 135 1260 (0,70,90,320) (3,3,3,2,2,1,1,0,0,1,2,2,0,0,2,1,1,0,0,1,2,2,0,0,2,2,1,1,1,1,3,1,1,3,4) 136 1260 (0,7,79,398) (1,1,1,1,2,3,0,0,1,0,0,1,2,1,1,3,2,2,1,2,2,1,2,1,1,2,2,4,1,0,0,1,0,0,3) 137 1260 (0,19,79,381) (1,1,2,1,1,3,1,2,2,1,2,2,1,1,2,4,1,0,0,1,0,0,1,1,2,3,2,2,0,0,1,0,0,1,3) 138 1260 (0,70,99,126) (0,1,0,1,1,0,1,0,0,0,1,1,0,0,2,0,1,0,0,0,1,1,0,0,2,1,1,1,1,1,3,1,1,3,4) 139 1260 (0,79,156,355) (1,1,3,3,3,2,0,0,2,0,0,2,2,2,2,2,0,0,3,0,0,3,2,2,2,3,3,3,1,1,1,1,1,1,4) 140 2520 (7,14,131,368) (0,0,1,1,2,2,3,0,2,3,0,2,1,3,2,1,0,2,1,0,3,1,1,3,2,2,1,4,0,2,1,0,2,1,3) 141 210 (35,79,100,162) (1,1,1,1,1,2,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4) 142 210 (0,35,79,100) (0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4) 143 420 (0,35,64,116) (1,2,0,0,0,2,1,1,1,1,1,1,1,1,1,2,0,0,0,1,1,1,2,2,2,1,1,1,1,1,1,2,2,2,4) 144 420 (0,19,35,100) (0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4) 145 210 (0,35,79,162) (1,1,1,1,1,1,0,0,0,0,0,0,2,2,2,1,0,0,0,0,0,0,2,2,2,1,1,1,1,1,1,1,1,1,4) 146 630 (0,79,162,616) (2,2,3,2,2,2,0,-1,-1,0,-1,-1,1,1,2,2,0,-1,-1,0,-1,-1,1,1,2,3,2,2,0,0,1,0,0,1,4) 147 630 (0,7,162,622) (2,2,2,2,3,1,-1,-1,0,-1,-1,0,2,1,1,1,-1,-1,0,-1,-1,0,2,1,1,1,1,3,1,0,0,1,0,0,4) 148 420 (0,35,64,70) (1,1,0,0,0,2,1,1,1,1,1,1,1,1,2,1,0,0,0,0,0,0,1,1,2,1,1,1,1,1,2,1,1,2,4) 149 315 (0,70,100,162) (1,1,1,1,1,1,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,1,1,2,1,1,1,1,1,2,1,1,2,4) 150 630 (0,35,70,79) (0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,1,1,2,1,1,1,1,1,2,1,1,2,4) 151 420 (0,19,35,70) (0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,1,1,2,0,0,0,1,1,2,1,1,2,4) 152 630 (0,72,277,622) (2,2,1,1,3,2,-1,-1,1,-1,-1,1,2,0,0,2,-1,-1,1,-1,-1,1,2,0,0,2,2,3,2,0,0,2,0,0,4) 153 630 (0,70,79,616) (1,1,2,1,1,2,0,-1,-1,0,-1,-1,0,0,2,2,0,-1,-1,0,-1,-1,0,0,2,3,2,2,0,0,2,0,0,2,4) 154 630 (0,7,72,622) (1,1,1,1,2,1,-1,-1,0,-1,-1,0,2,0,0,1,-1,-1,0,-1,-1,0,2,0,0,1,1,3,2,0,0,2,0,0,4) 155 315 (70,79,91,100) (0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,2,3,3,3,2,2,3,2,2,3,3) 156 1260 (79,91,100,132) (0,0,1,1,1,2,0,0,0,0,0,0,1,1,2,2,0,0,0,0,0,0,1,1,2,3,3,3,2,3,2,2,3,2,3) 157 1260 (0,46,107,281) (1,1,1,1,1,1,0,0,1,0,0,2,1,0,0,1,1,1,1,3,3,2,3,2,2,0,0,2,1,0,0,2,1,1,3) 158 2520 (0,36,123,279) (1,1,1,0,0,1,1,0,0,1,1,1,0,0,2,2,1,1,1,1,2,2,0,0,2,1,3,3,0,0,2,1,1,3,3) 159 1260 (35,90,91,204) (2,2,2,1,1,1,1,0,0,1,0,0,1,1,2,1,1,0,0,1,0,0,1,1,2,2,1,1,2,2,2,3,3,2,3) 160 1260 (7,46,140,281) (1,2,2,2,1,1,0,0,1,1,1,1,2,0,0,1,1,1,1,3,3,1,3,1,1,0,0,2,2,0,0,2,0,0,2) 161 1260 (7,46,140,286) (1,2,3,3,1,1,0,0,1,1,1,1,2,0,0,1,1,1,1,2,2,1,3,1,1,0,0,2,2,0,0,2,0,0,2) 162 630 (36,69,119,134) (3,1,3,1,2,1,3,1,2,1,2,2,1,2,2,1,2,1,2,0,1,1,0,1,1,0,1,1,0,1,1,2,3,3,3) 163 2520 (0,63,123,156) (1,1,1,1,1,1,0,0,0,0,0,0,1,1,2,3,1,2,3,1,2,3,1,1,2,1,2,2,0,0,1,0,0,1,3) 164 1260 (35,90,100,204) (2,2,2,1,1,2,1,0,0,1,0,0,1,1,1,2,1,0,0,1,0,0,1,1,1,2,1,1,2,2,2,3,3,2,3) 165 630 (79,91,100,162) (1,1,1,1,1,2,0,0,0,0,0,0,1,1,2,2,0,0,0,0,0,0,1,1,2,3,3,3,2,2,2,2,2,2,3) 166 630 (79,90,91,100) (1,1,1,1,1,2,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,3,3,3,2,2,2,2,2,2,2) 167 630 (0,79,277,286) (2,2,1,1,2,3,0,0,2,0,0,2,0,0,0,3,0,0,2,0,0,2,0,0,0,2,2,3,0,0,0,0,0,0,1) 168 1260 (79,91,132,162) (1,1,2,2,2,1,0,0,0,0,0,0,2,2,3,1,0,0,0,0,0,0,2,2,3,2,2,2,1,2,1,1,2,1,3) 169 1260 (0,107,281,285) (2,2,0,0,2,2,1,1,2,0,0,3,0,0,0,2,0,0,2,2,2,3,1,1,1,0,0,3,0,0,0,1,1,1,2) 170 630 (70,90,91,162) (2,2,2,2,2,0,0,0,0,0,0,0,1,1,3,0,0,0,0,0,0,0,1,1,3,1,1,1,1,1,2,1,1,2,3) 171 1260 (0,7,36,95) (0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,2,1,0,0,1,1,2,3,1,1,2,2,2,3,3) 172 1260 (0,7,36,99) (0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,2,3,1,1,2,2,2,3,3) 173 5040 (0,7,36,107) (0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,1,2,2,1,1,2,0,1,3,0,0,1,2,2,3,3) 174 2520 (0,36,90,94) (1,1,1,1,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,1,2,0,0,1,1,2,2,1,1,2,2,2,3,3) 175 2520 (7,14,42,131) (0,0,0,0,0,1,2,0,2,1,0,1,0,2,0,0,1,0,1,0,1,0,0,2,0,2,0,3,1,3,1,0,2,0,2) 176 2520 (7,31,37,130) (0,0,0,1,0,0,0,0,0,1,0,1,0,2,0,1,1,0,1,2,0,2,0,2,0,2,0,3,0,2,0,1,3,1,2) 177 1260 (0,46,64,107) (1,1,1,1,0,2,1,1,1,1,1,2,1,0,0,1,1,1,0,2,2,1,3,2,2,1,1,2,1,0,0,2,1,1,3) 178 2520 (0,7,46,107) (0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,2,2,1,3,2,2,0,0,2,1,0,0,2,1,1,3) 179 1260 (0,36,90,99) (1,1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,2,2,1,1,2,2,2,3,3) 180 315 (0,79,90,355) (2,2,3,3,3,2,0,0,2,0,0,2,1,1,1,2,0,0,2,0,0,2,1,1,1,3,3,3,1,1,1,1,1,1,3) 181 1260 (0,7,90,349) (3,3,2,2,3,1,0,0,1,2,2,1,1,0,0,1,0,0,1,2,2,1,1,0,0,1,1,3,2,1,1,2,1,1,3) 182 630 (70,91,204,259) (2,2,2,1,1,1,1,1,1,1,0,0,0,0,3,1,1,1,1,1,0,0,0,0,3,2,1,1,1,1,3,2,2,2,2) 183 1260 (7,72,107,141) (1,0,1,1,0,0,1,1,0,0,0,1,2,0,0,0,1,1,0,1,1,1,3,1,1,0,0,2,2,0,0,3,1,1,3) 184 630 (70,79,91,162) (1,1,1,1,1,1,0,0,0,0,0,0,1,1,3,1,0,0,0,0,0,0,1,1,3,2,2,2,1,1,2,1,1,2,3) 185 630 (0,79,100,286) (1,1,1,1,1,3,0,0,1,0,0,1,0,0,0,3,0,0,1,0,0,1,0,0,0,2,2,3,1,1,1,1,1,1,2) 186 1260 (0,36,70,279) (1,1,1,0,0,1,1,0,0,1,1,1,0,0,2,1,1,0,0,1,1,1,0,0,2,1,2,2,0,0,2,1,1,3,3) 187 2520 (0,7,46,141) (1,0,2,2,0,0,1,1,0,0,0,0,2,0,0,0,2,2,0,1,1,0,3,1,1,0,0,1,2,0,0,2,0,0,3) 188 420 (0,46,64,72) (1,1,1,1,0,2,1,1,1,1,1,1,2,0,0,1,1,1,0,1,1,0,3,1,1,1,1,1,2,0,0,2,0,0,3) 189 1260 (0,36,70,90) (1,1,1,1,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,1,0,0,2,0,1,1,0,0,2,1,1,3,3) 190 1260 (0,7,46,72) (0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,1,0,3,1,1,0,0,1,2,0,0,2,0,0,3) 191 420 (0,19,41,70) (0,0,0,1,1,0,0,1,1,0,1,1,1,1,3,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,2,3) 192 630 (0,7,95,99) (0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,2,3,2,2,2,2,2,2,3) 193 630 (79,100,132,162) (1,1,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,1,2,1,1,2,1,3) 194 420 (0,63,70,123) (1,1,0,0,0,1,0,0,0,0,0,0,0,0,2,3,1,2,2,1,2,2,0,0,2,1,2,2,0,0,2,0,0,2,3) 195 1260 (0,90,94,99) (1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,2,2,2,2,2,2,2,2,3) 196 1260 (0,7,281,285) (2,2,0,0,2,2,1,1,2,0,0,2,0,0,0,2,0,0,2,1,1,2,0,0,0,0,0,3,0,0,0,0,0,0,1) 197 1260 (0,63,70,279) (2,2,1,0,0,2,1,0,0,1,0,0,0,0,1,3,2,1,1,2,1,1,0,0,1,2,2,2,0,0,1,0,0,1,2) 198 840 (19,35,64,116) (1,2,0,0,0,2,1,1,1,1,1,1,1,1,1,3,0,0,0,1,1,1,2,2,2,1,1,1,1,1,1,2,2,2,3) 199 420 (35,63,79,162) (2,2,1,1,1,2,0,0,0,0,0,0,2,2,2,3,1,1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,3) 200 1260 (35,70,90,204) (2,2,2,1,1,1,1,0,0,1,0,0,1,1,2,1,1,0,0,1,0,0,1,1,2,1,0,0,1,1,2,2,2,2,3) 201 1260 (0,63,79,156) (1,1,1,1,1,2,0,0,0,0,0,0,1,1,1,3,1,1,2,1,1,2,1,1,1,2,2,2,0,0,0,0,0,0,2) 202 420 (0,63,79,162) (2,2,1,1,1,2,0,0,0,0,0,0,1,1,1,3,1,1,1,1,1,1,1,1,1,2,2,2,0,0,0,0,0,0,2) 203 2520 (0,7,14,302) (1,1,1,1,2,0,2,0,1,0,2,1,0,1,1,0,2,0,1,0,3,1,0,1,1,1,1,3,1,2,2,1,2,2,3) 204 630 (0,7,30,302) (1,1,1,1,3,0,2,0,1,0,2,1,0,1,1,0,2,0,1,0,2,1,0,1,1,1,1,3,1,2,2,1,2,2,3) 205 2520 (0,7,14,382) (0,1,1,2,0,1,1,0,2,2,1,1,1,1,0,0,2,1,1,1,3,0,2,2,1,1,0,3,2,2,1,1,1,0,3) 206 2520 (0,7,31,334) (1,0,1,3,0,0,1,2,0,2,1,1,2,2,1,1,2,1,1,1,0,2,1,1,0,1,0,3,1,1,0,2,2,1,3) 207 5040 (0,7,14,349) (2,2,1,1,2,1,0,0,1,2,2,1,1,0,0,1,0,0,1,2,3,1,1,0,0,1,1,3,2,1,1,2,1,1,3) 208 2520 (0,7,36,141) (1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,2,1,0,1,2,1,2,3) 209 2520 (0,36,90,141) (2,1,2,2,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,2,1,2,3) 210 2520 (0,7,46,124) (0,0,1,1,0,1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,2,1,2,0,1,2,1,0,1,1,0,1,3) 211 840 (0,19,64,116) (1,2,0,0,0,2,1,1,1,1,1,1,0,0,0,3,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,2) 212 630 (35,63,70,79) (1,1,0,0,0,2,0,0,0,0,0,0,1,1,2,3,1,1,1,1,1,1,1,1,2,2,2,2,1,1,2,1,1,2,3) 213 630 (70,79,100,162) (1,1,1,1,1,2,0,0,0,0,0,0,1,1,2,2,0,0,0,0,0,0,1,1,2,2,2,2,1,1,2,1,1,2,3) 214 1260 (0,72,107,281) (1,1,0,0,1,1,0,0,1,0,0,2,1,0,0,1,0,0,1,2,2,2,2,1,1,0,0,2,1,0,0,2,1,1,3) 215 630 (0,70,79,100) (0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,2,2,2,1,1,2,1,1,2,3) 216 630 (7,14,25,368) (0,0,1,1,2,1,2,0,1,3,0,1,1,2,2,1,0,2,1,0,3,1,1,2,2,1,1,3,0,1,1,0,1,1,2) 217 630 (0,14,28,358) (1,1,0,0,2,1,3,2,2,0,0,2,1,1,1,1,0,0,2,2,3,2,1,1,1,0,0,2,1,1,1,1,1,1,3) 218 2520 (0,7,95,140) (0,1,1,1,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,1,2,0,1,0,0,1,1,2,2,1,1,2,1,1,3) 219 1260 (0,107,141,285) (2,1,1,1,1,1,2,2,1,0,0,2,1,0,0,1,1,1,1,1,1,2,2,1,1,0,0,2,1,0,0,2,1,1,3) 220 1260 (0,72,107,285) (1,1,0,0,1,1,1,1,1,0,0,2,1,0,0,1,0,0,1,1,1,2,2,1,1,0,0,2,1,0,0,2,1,1,3) 221 630 (0,72,100,286) (1,1,1,1,1,2,0,0,1,0,0,1,1,0,0,2,0,0,1,0,0,1,1,0,0,1,1,2,2,1,1,2,1,1,3) 222 420 (0,35,63,79) (1,1,0,0,0,2,0,0,0,0,0,0,1,1,1,3,1,1,1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,3) 223 1260 (19,35,64,70) (1,1,0,0,0,2,1,1,1,1,1,1,1,1,2,2,0,0,0,0,0,0,1,1,2,1,1,1,1,1,2,1,1,2,3) 224 1260 (0,63,70,79) (1,1,0,0,0,2,0,0,0,0,0,0,0,0,1,3,1,1,1,1,1,1,0,0,1,2,2,2,0,0,1,0,0,1,2) 225 2520 (0,7,107,124) (0,0,0,0,0,1,0,1,1,0,1,2,0,0,1,0,0,0,0,1,1,1,1,1,2,0,1,3,0,0,1,1,1,2,3) 226 2520 (0,90,94,126) (1,2,1,2,2,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,1,2,0,0,1,1,1,1,1,1,2,1,1,2,3) 227 2520 (0,7,107,281) (1,1,0,0,1,1,0,0,1,0,0,2,0,0,0,1,0,0,1,2,2,2,1,1,1,0,0,3,0,0,0,1,1,1,2) 228 1260 (0,64,72,107) (1,1,0,0,0,2,1,1,1,1,1,2,1,0,0,1,0,0,0,1,1,1,2,1,1,1,1,2,1,0,0,2,1,1,3) 229 1260 (0,64,70,116) (1,2,0,0,0,2,1,1,1,1,1,1,0,0,1,2,0,0,0,1,1,1,1,1,2,1,1,1,0,0,1,1,1,2,3) 230 2520 (0,7,107,141) (1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,1,1,2,1,1,0,0,2,1,0,0,2,1,1,3) 231 1260 (0,90,99,126) (1,2,1,2,2,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,1,1,1,1,2,1,1,2,3) 232 2520 (0,7,107,285) (1,1,0,0,1,1,1,1,1,0,0,2,0,0,0,1,0,0,1,1,1,2,1,1,1,0,0,3,0,0,0,1,1,1,2) 233 1260 (7,31,130,278) (1,1,0,2,0,1,0,1,0,0,1,0,0,1,0,2,1,1,1,1,1,1,0,1,0,2,1,3,0,1,0,0,1,0,1) 234 2520 (0,7,72,107) (0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,2,1,1,0,0,2,1,0,0,2,1,1,3) 235 1260 (0,70,90,99) (1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,1,1,1,2,1,1,2,3) 236 1260 (7,31,79,130) (0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,2,1,0,1,1,0,1,0,1,0,2,1,3,0,1,0,0,1,0,1) 237 1260 (0,19,70,100) (0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,1,1,2,3) 238 630 (0,70,79,162) (1,1,1,1,1,1,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,1,1,2,1,1,1,0,0,1,0,0,1,3) 239 630 (0,7,72,162) (1,1,1,1,1,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,2,1,1,0,0,1,1,0,0,1,0,0,3) 240 315 (0,79,90,616) (2,2,3,2,2,2,0,-1,-1,0,-1,-1,0,0,1,2,0,-1,-1,0,-1,-1,0,0,1,3,2,2,0,0,1,0,0,1,3) 241 1260 (0,70,123,279) (1,1,1,0,0,1,1,0,0,1,0,0,0,0,2,2,1,1,1,1,1,1,0,0,2,1,2,2,0,0,2,0,0,2,3) 242 1260 (0,70,90,126) (1,2,1,2,2,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,2,0,0,2,3) 243 315 (0,7,90,622) (2,2,2,2,3,1,-1,-1,0,-1,-1,0,1,0,0,1,-1,-1,0,-1,-1,0,1,0,0,1,1,3,1,0,0,1,0,0,3) 244 420 (0,19,79,100) (0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,2,2,1,1,1,1,1,1,2) 245 1260 (0,7,72,141) (1,0,1,1,0,0,1,1,0,0,0,0,2,0,0,0,1,1,0,0,0,0,2,0,0,0,0,1,2,0,0,2,0,0,3) 246 210 (0,79,100,162) (1,1,1,1,1,2,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,1,1,1,2,2,2,1,1,1,1,1,1,3) 247 70 (0,19,35,63) (1,1,0,0,0,1,0,0,0,0,0,0,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3) 248 420 (0,19,35,64) (1,1,0,0,0,2,1,1,1,1,1,1,1,1,1,2,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3) 249 420 (0,19,35,79) (0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3) 250 105 (0,7,30,622) (1,1,1,1,3,1,-1,-1,0,-1,-1,0,1,0,0,1,-1,-1,0,-1,-1,0,1,0,0,1,1,3,1,0,0,1,0,0,3) 251 315 (0,72,281,285) (2,2,0,0,2,2,1,1,2,0,0,2,1,0,0,2,0,0,2,1,1,2,1,0,0,0,0,2,1,0,0,1,0,0,2) 252 630 (79,90,100,132) (1,1,2,2,2,2,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,1,1,1,2,2,2,1,2,1,1,2,1,2) 253 1260 (0,79,156,277) (1,1,1,1,2,2,0,0,1,0,0,1,1,1,1,2,0,0,2,0,0,2,1,1,1,2,2,2,0,0,0,0,0,0,2) 254 630 (0,90,100,286) (2,2,2,2,2,2,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,1,1,2,1,1,1,1,1,1,2) 255 630 (0,79,90,277) (2,2,1,1,2,2,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,2,2,2,0,0,0,0,0,0,1) 256 630 (79,90,91,132) (1,1,2,2,2,1,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,1,1,2,2,2,2,1,2,1,1,2,1,2) 257 1260 (0,79,156,286) (1,1,2,2,2,2,0,0,1,0,0,1,1,1,1,2,0,0,2,0,0,2,1,1,1,1,1,2,0,0,0,0,0,0,2) 258 105 (79,90,100,162) (2,2,2,2,2,2,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,1,1,1,2,2,2,1,1,1,1,1,1,2) 259 2520 (0,7,46,281) (1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,2,2,1,2,1,1,0,0,2,1,0,0,1,0,0,2) 260 1260 (0,36,84,298) (2,1,1,0,0,1,1,0,0,1,2,2,0,0,1,2,2,1,1,1,1,1,0,0,1,1,1,1,0,0,1,1,1,2,2) 261 1260 (0,19,41,298) (1,1,1,1,1,1,1,1,1,1,2,2,1,1,2,2,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,2) 262 1260 (0,7,46,286) (1,1,2,2,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,1,1,1,2,1,1,0,0,2,1,0,0,1,0,0,2) 263 210 (0,79,90,100) (1,1,1,1,1,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,1,1,1,1,1,1,2) 264 630 (0,7,90,162) (2,2,2,2,2,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,2) 265 630 (7,31,130,158) (0,0,1,2,1,0,0,0,0,0,0,0,1,2,1,1,2,0,1,2,0,1,1,2,1,1,0,2,0,1,0,0,1,0,2) 266 630 (0,72,79,277) (1,1,0,0,1,2,0,0,1,0,0,1,1,0,0,2,0,0,1,0,0,1,1,0,0,2,2,2,1,0,0,1,0,0,2) 267 2520 (7,14,131,157) (0,0,1,1,1,1,1,0,1,1,0,1,1,2,1,0,0,1,0,0,2,0,1,2,1,1,0,2,0,1,0,0,1,0,2) 268 1260 (0,7,140,286) (1,2,2,2,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,2,1,0,0,1,0,0,2) 269 1260 (0,7,90,140) (1,2,2,2,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0,2) 270 630 (0,72,79,286) (1,1,1,1,1,2,0,0,1,0,0,1,1,0,0,2,0,0,1,0,0,1,1,0,0,1,1,2,1,0,0,1,0,0,2) 271 840 (0,7,14,36) (0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,2,1,0,0,1,0,1,2,0,0,1,1,1,2,2) 272 2520 (0,7,14,42) (0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,2,1,2,1,0,1,0,2) 273 1260 (0,7,36,90) (1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,2,0,0,1,1,1,2,2) 274 2520 (0,7,31,37) (0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,2,0,1,0,1,2,1,2) 275 630 (0,7,46,64) (1,1,1,1,0,2,1,1,1,1,1,1,1,0,0,1,1,1,0,1,1,0,2,1,1,1,1,2,1,0,0,1,0,0,2) 276 1260 (0,7,46,79) (0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,1,1,0,2,1,1,1,1,2,1,0,0,1,0,0,2) 277 1260 (0,19,41,79) (0,0,0,1,1,1,0,1,1,0,1,1,1,1,2,2,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,2) 278 2520 (0,7,14,95) (0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,2,1,1,1,1,1,1,2) 279 1260 (0,7,90,95) (1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,2,1,1,1,1,1,1,2) 280 1260 (0,7,30,95) (0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,2,1,1,1,1,1,1,2) 281 2520 (0,14,28,107) (0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,2,1,1,1,1,0,0,1,0,0,0,1,1,1,2) 282 5040 (0,7,14,131) (0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,2,0,1,0,0,1,0,2) 283 2520 (0,7,31,130) (0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,2,0,1,0,0,1,0,2) 284 2520 (0,7,72,281) (1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,2,1,0,0,1,0,0,2) 285 1260 (0,19,79,159) (0,0,1,1,1,1,0,0,1,0,0,1,1,1,1,2,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,2) 286 1260 (0,7,31,278) (1,1,0,2,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0,1) 287 630 (0,7,79,162) (1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,2,0,0,0,0,0,0,2) 288 315 (0,7,72,79) (0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,2,1,0,0,1,0,0,2) 289 630 (0,19,70,79) (0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,2) 290 630 (0,7,72,90) (1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,2) 291 315 (0,7,30,90) (1,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1) 292 1260 (0,7,31,79) (0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,1) 293 210 (0,7,14,18) (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1) 294 840 (0,7,14,25) (0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1) 295 1260 (0,7,14,28) (0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1)

### Dimension 10

 Index Orbit size Rays Plücker coordinates 0 630 (35,330,339) (3,3,3,3,2,3,1,1,0,1,1,0,4,3,5,3,1,1,0,1,1,0,4,3,5,3,3,2,4,5,3,4,5,3,6) 1 1260 (91,330,339) (3,3,3,3,2,3,1,1,0,1,1,0,3,2,5,3,1,1,0,1,1,0,3,2,5,4,4,3,4,5,3,4,5,3,5) 2 1260 (100,330,339) (3,3,3,3,2,4,1,1,0,1,1,0,3,2,4,4,1,1,0,1,1,0,3,2,4,4,4,3,4,5,3,4,5,3,5) 3 630 (35,91,330) (1,1,2,1,1,2,1,0,0,1,0,0,2,2,4,2,1,0,0,1,0,0,2,2,4,3,2,2,4,4,3,4,4,3,5) 4 630 (35,100,330) (1,1,2,1,1,3,1,0,0,1,0,0,2,2,3,3,1,0,0,1,0,0,2,2,3,3,2,2,4,4,3,4,4,3,5) 5 1260 (35,91,339) (2,2,1,2,1,1,0,1,0,0,1,0,3,2,4,1,0,1,0,0,1,0,3,2,4,2,3,2,3,4,3,3,4,3,5) 6 630 (35,100,339) (2,2,1,2,1,2,0,1,0,0,1,0,3,2,3,2,0,1,0,0,1,0,3,2,3,2,3,2,3,4,3,3,4,3,5) 7 2520 (0,311,320) (3,3,3,3,2,1,3,1,0,1,3,4,1,0,2,1,3,1,0,1,3,4,1,0,2,3,3,2,3,2,4,3,2,4,5) 8 630 (35,70,330) (1,1,2,1,1,2,1,0,0,1,0,0,2,2,4,2,1,0,0,1,0,0,2,2,4,2,1,1,3,3,3,3,3,3,5) 9 315 (91,100,330) (1,1,2,1,1,3,1,0,0,1,0,0,1,1,3,3,1,0,0,1,0,0,1,1,3,4,3,3,4,4,3,4,4,3,4) 10 1260 (35,204,330) (2,2,3,1,1,3,2,0,0,2,0,0,2,2,3,3,2,0,0,2,0,0,2,2,3,3,1,1,3,3,2,4,4,2,4) 11 1260 (91,100,339) (2,2,1,2,1,2,0,1,0,0,1,0,2,1,3,2,0,1,0,0,1,0,2,1,3,3,4,3,3,4,3,3,4,3,4) 12 1260 (91,132,330) (1,1,3,2,2,2,1,0,0,1,0,0,2,2,4,2,1,0,0,1,0,0,2,2,4,3,2,2,3,4,2,3,4,2,4) 13 1260 (91,162,339) (3,3,2,3,2,1,0,1,0,0,1,0,3,2,4,1,0,1,0,0,1,0,3,2,4,2,3,2,2,3,2,2,3,2,4) 14 2520 (0,36,311) (1,1,1,2,1,0,2,1,0,0,2,3,1,0,2,0,2,1,0,0,2,3,1,0,2,1,3,2,2,1,3,3,2,4,4) 15 630 (91,162,330) (2,2,3,2,2,2,1,0,0,1,0,0,2,2,4,2,1,0,0,1,0,0,2,2,4,3,2,2,3,3,2,3,3,2,4) 16 630 (70,162,330) (2,2,3,2,2,2,1,0,0,1,0,0,2,2,4,2,1,0,0,1,0,0,2,2,4,2,1,1,2,2,2,2,2,2,4) 17 1260 (0,36,320) (2,2,2,1,1,1,1,0,0,1,3,3,0,0,2,1,1,0,0,1,3,3,0,0,2,2,2,2,1,1,3,2,2,4,4) 18 630 (79,100,330) (1,1,2,1,1,4,1,0,0,1,0,0,1,1,2,4,1,0,0,1,0,0,1,1,2,4,3,3,3,3,2,3,3,2,3) 19 630 (79,91,330) (1,1,2,1,1,3,1,0,0,1,0,0,1,1,3,3,1,0,0,1,0,0,1,1,3,4,3,3,3,3,2,3,3,2,3) 20 630 (35,91,100) (0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4) 21 630 (100,162,330) (2,2,3,2,2,3,1,0,0,1,0,0,2,2,3,3,1,0,0,1,0,0,2,2,3,3,2,2,3,3,2,3,3,2,4) 22 630 (35,79,330) (1,1,2,1,1,3,1,0,0,1,0,0,2,2,3,3,1,0,0,1,0,0,2,2,3,3,2,2,3,3,2,3,3,2,4) 23 2520 (0,94,311) (1,1,1,2,1,0,2,1,0,0,1,3,1,0,1,0,2,1,0,0,1,3,1,0,1,2,3,2,3,2,3,3,2,3,4) 24 1260 (7,46,315) (1,0,3,2,0,1,1,2,1,0,1,2,2,0,1,0,3,2,0,2,3,1,4,2,3,0,1,3,2,0,1,3,1,2,3) 25 315 (91,100,616) (1,1,2,1,1,2,0,-1,-1,0,-1,-1,0,0,2,2,0,-1,-1,0,-1,-1,0,0,2,4,3,3,2,2,3,2,2,3,4) 26 2520 (0,94,320) (2,2,2,1,1,1,1,0,0,1,2,3,0,0,1,1,1,0,0,1,2,3,0,0,1,3,2,2,2,2,3,2,2,3,4) 27 1260 (0,99,320) (2,2,2,1,1,1,2,0,0,1,2,2,0,0,1,1,2,0,0,1,2,2,0,0,1,3,2,2,2,2,3,2,2,3,4) 28 630 (35,70,91) (0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,0,0,0,0,0,0,0,1,1,3,1,1,1,2,2,3,2,2,3,4) 29 630 (35,91,162) (1,1,1,1,1,0,0,0,0,0,0,0,2,2,3,0,0,0,0,0,0,0,2,2,3,1,1,1,2,2,2,2,2,2,4) 30 630 (35,70,100) (0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,1,1,2,1,1,1,2,2,3,2,2,3,4) 31 2520 (0,126,311) (1,2,1,3,2,0,2,1,0,0,2,3,1,0,2,0,2,1,0,0,2,3,1,0,2,1,2,1,2,1,3,2,1,3,4) 32 630 (70,91,616) (1,1,2,1,1,1,0,-1,-1,0,-1,-1,0,0,3,1,0,-1,-1,0,-1,-1,0,0,3,3,2,2,1,1,3,1,1,3,4) 33 630 (91,162,616) (2,2,3,2,2,1,0,-1,-1,0,-1,-1,1,1,3,1,0,-1,-1,0,-1,-1,1,1,3,3,2,2,1,1,2,1,1,2,4) 34 630 (70,100,616) (1,1,2,1,1,2,0,-1,-1,0,-1,-1,0,0,2,2,0,-1,-1,0,-1,-1,0,0,2,3,2,2,1,1,3,1,1,3,4) 35 1260 (0,126,320) (2,3,2,2,2,1,1,0,0,1,3,3,0,0,2,1,1,0,0,1,3,3,0,0,2,2,1,1,1,1,3,1,1,3,4) 36 1260 (0,70,320) (2,2,2,1,1,1,1,0,0,1,2,2,0,0,2,1,1,0,0,1,2,2,0,0,2,2,1,1,1,1,3,1,1,3,4) 37 1260 (0,107,358) (1,1,0,0,2,1,2,2,2,0,0,3,1,1,1,1,0,0,2,3,3,3,2,2,2,0,0,3,1,1,1,2,2,2,4) 38 105 (35,100,162) (1,1,1,1,1,1,0,0,0,0,0,0,2,2,2,1,0,0,0,0,0,0,2,2,2,1,1,1,2,2,2,2,2,2,4) 39 210 (0,35,100) (0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4) 40 315 (100,162,616) (2,2,3,2,2,2,0,-1,-1,0,-1,-1,1,1,2,2,0,-1,-1,0,-1,-1,1,1,2,3,2,2,1,1,2,1,1,2,4) 41 630 (0,100,616) (1,1,2,1,1,2,0,-1,-1,0,-1,-1,0,0,1,2,0,-1,-1,0,-1,-1,0,0,1,3,2,2,1,1,2,1,1,2,4) 42 105 (0,35,70) (0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,1,1,2,0,0,0,1,1,2,1,1,2,4) 43 315 (0,70,616) (1,1,2,1,1,1,0,-1,-1,0,-1,-1,0,0,2,1,0,-1,-1,0,-1,-1,0,0,2,2,1,1,0,0,2,0,0,2,4) 44 630 (0,281,358) (2,2,0,0,3,2,2,2,3,0,0,3,1,1,1,2,0,0,3,3,3,3,1,1,1,0,0,3,1,1,1,1,1,1,3) 45 1260 (79,132,330) (1,1,3,2,2,3,1,0,0,1,0,0,2,2,3,3,1,0,0,1,0,0,2,2,3,3,2,2,2,3,1,2,3,1,3) 46 1260 (35,91,204) (1,1,1,0,0,1,1,0,0,1,0,0,1,1,2,1,1,0,0,1,0,0,1,1,2,2,1,1,2,2,2,3,3,2,3) 47 1260 (35,100,204) (1,1,1,0,0,2,1,0,0,1,0,0,1,1,1,2,1,0,0,1,0,0,1,1,1,2,1,1,2,2,2,3,3,2,3) 48 2520 (7,141,315) (2,0,3,2,0,1,2,3,1,0,1,2,2,0,1,0,3,2,0,1,2,1,3,1,2,0,1,3,2,0,1,3,1,2,3) 49 630 (79,162,330) (2,2,3,2,2,3,1,0,0,1,0,0,2,2,3,3,1,0,0,1,0,0,2,2,3,3,2,2,2,2,1,2,2,1,3) 50 630 (79,91,100) (0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,3,3,3,2,2,2,2,2,2,2) 51 1260 (91,100,132) (0,0,1,1,1,1,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,1,1,2,2,2,2,2,3,2,2,3,2,3) 52 2520 (0,36,94) (0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,1,2,0,0,1,1,2,2,1,1,2,2,2,3,3) 53 1260 (0,36,99) (0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,2,2,1,1,2,2,2,3,3) 54 630 (0,79,355) (1,1,2,2,2,2,0,0,2,0,0,2,1,1,1,2,0,0,2,0,0,2,1,1,1,3,3,3,1,1,1,1,1,1,3) 55 315 (70,79,330) (1,1,2,1,1,3,1,0,0,1,0,0,1,1,3,3,1,0,0,1,0,0,1,1,3,3,2,2,2,2,2,2,2,2,3) 56 1260 (0,90,320) (3,3,3,2,2,1,1,0,0,1,2,2,0,0,1,1,1,0,0,1,2,2,0,0,1,2,1,1,1,1,2,1,1,2,3) 57 630 (70,91,162) (1,1,1,1,1,0,0,0,0,0,0,0,1,1,3,0,0,0,0,0,0,0,1,1,3,1,1,1,1,1,2,1,1,2,3) 58 1260 (0,36,126) (0,1,0,1,1,0,0,0,0,0,2,2,0,0,2,0,0,0,0,0,2,2,0,0,2,0,1,1,0,0,2,1,1,3,3) 59 420 (0,36,70) (0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,1,0,0,2,0,1,1,0,0,2,1,1,3,3) 60 630 (91,100,162) (1,1,1,1,1,1,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3) 61 210 (35,79,100) (0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3) 62 1260 (0,94,99) (0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,2,2,2,2,2,2,2,2,3) 63 630 (35,79,132) (0,0,1,1,1,1,0,0,0,0,0,0,2,2,2,1,0,0,0,0,0,0,2,2,2,1,1,1,1,2,1,1,2,1,3) 64 1260 (7,46,141) (1,0,2,2,0,0,1,1,0,0,0,0,2,0,0,0,2,2,0,1,1,0,3,1,1,0,0,1,2,0,0,2,0,0,2) 65 420 (35,64,116) (1,2,0,0,0,2,1,1,1,1,1,1,1,1,1,2,0,0,0,1,1,1,2,2,2,1,1,1,1,1,1,2,2,2,3) 66 420 (7,46,107) (0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,2,2,1,3,2,2,0,0,2,1,0,0,2,1,1,2) 67 210 (35,79,162) (1,1,1,1,1,1,0,0,0,0,0,0,2,2,2,1,0,0,0,0,0,0,2,2,2,1,1,1,1,1,1,1,1,1,3) 68 420 (35,70,204) (1,1,1,0,0,1,1,0,0,1,0,0,1,1,2,1,1,0,0,1,0,0,1,1,2,1,0,0,1,1,2,2,2,2,3) 69 630 (0,7,302) (1,1,1,1,2,0,2,0,1,0,2,1,0,1,1,0,2,0,1,0,2,1,0,1,1,1,1,3,1,2,2,1,2,2,3) 70 5040 (0,7,315) (1,0,2,1,0,1,1,2,1,0,1,2,1,0,1,0,2,1,0,1,2,1,2,1,2,0,1,3,1,0,1,2,1,2,3) 71 1260 (0,7,358) (1,1,0,0,2,1,2,2,2,0,0,2,1,1,1,1,0,0,2,2,2,2,1,1,1,0,0,3,1,1,1,1,1,1,3) 72 840 (0,36,141) (1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,1,0,1,2,1,2,3) 73 630 (79,162,616) (2,2,3,2,2,2,0,-1,-1,0,-1,-1,1,1,2,2,0,-1,-1,0,-1,-1,1,1,2,3,2,2,0,0,1,0,0,1,3) 74 630 (0,277,622) (2,2,1,1,3,2,-1,-1,1,-1,-1,1,1,0,0,2,-1,-1,1,-1,-1,1,1,0,0,2,2,3,1,0,0,1,0,0,3) 75 1260 (0,7,349) (2,2,1,1,2,1,0,0,1,2,2,1,1,0,0,1,0,0,1,2,2,1,1,0,0,1,1,3,2,1,1,2,1,1,3) 76 630 (7,14,382) (0,1,1,2,0,1,1,0,2,2,1,1,1,1,0,0,2,1,1,1,3,0,2,2,1,1,0,3,2,2,1,1,1,0,2) 77 630 (7,31,334) (1,0,1,3,0,0,1,2,0,2,1,1,2,2,1,1,2,1,1,1,0,2,1,1,0,1,0,3,1,1,0,2,2,1,2) 78 420 (35,64,70) (1,1,0,0,0,2,1,1,1,1,1,1,1,1,2,1,0,0,0,0,0,0,1,1,2,1,1,1,1,1,2,1,1,2,3) 79 315 (70,100,162) (1,1,1,1,1,1,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,1,1,2,1,1,1,1,1,2,1,1,2,3) 80 630 (35,70,79) (0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,1,1,2,1,1,1,1,1,2,1,1,2,3) 81 2520 (0,94,126) (0,1,0,1,1,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,1,2,0,0,1,1,1,1,1,1,2,1,1,2,3) 82 1260 (0,99,126) (0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,1,1,1,1,2,1,1,2,3) 83 1260 (0,70,99) (0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,1,1,1,2,1,1,2,3) 84 630 (0,70,100) (0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,1,1,2,3) 85 420 (0,63,79) (1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,3,1,1,1,1,1,1,0,0,0,2,2,2,0,0,0,0,0,0,1) 86 315 (70,79,616) (1,1,2,1,1,2,0,-1,-1,0,-1,-1,0,0,2,2,0,-1,-1,0,-1,-1,0,0,2,3,2,2,0,0,2,0,0,2,3) 87 630 (0,79,616) (1,1,2,1,1,2,0,-1,-1,0,-1,-1,0,0,1,2,0,-1,-1,0,-1,-1,0,0,1,3,2,2,0,0,1,0,0,1,3) 88 420 (0,70,126) (0,1,0,1,1,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,2,0,0,2,3) 89 140 (0,35,64) (1,1,0,0,0,2,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3) 90 105 (0,100,162) (1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3) 91 210 (0,35,79) (0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3) 92 140 (0,19,35) (0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,3) 93 315 (0,7,622) (1,1,1,1,2,1,-1,-1,0,-1,-1,0,1,0,0,1,-1,-1,0,-1,-1,0,1,0,0,1,1,3,1,0,0,1,0,0,3) 94 315 (79,132,162) (1,1,2,2,2,1,0,0,0,0,0,0,2,2,2,1,0,0,0,0,0,0,2,2,2,1,1,1,0,1,0,0,1,0,2) 95 315 (0,281,285) (2,2,0,0,2,2,1,1,2,0,0,2,0,0,0,2,0,0,2,1,1,2,0,0,0,0,0,2,0,0,0,0,0,0,1) 96 630 (79,100,132) (0,0,1,1,1,2,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,1,1,1,2,2,2,1,2,1,1,2,1,2) 97 630 (70,79,100) (0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,2,2,2,1,1,2,1,1,2,2) 98 1260 (79,91,132) (0,0,1,1,1,1,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,1,1,2,2,2,2,1,2,1,1,2,1,2) 99 1260 (0,36,279) (1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,2,2,0,0,1,1,1,2,2) 100 1260 (35,90,204) (2,2,2,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,1,2,2,1,2) 101 1260 (0,63,156) (1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,2,1,1,2,1,1,2,1,1,1,1,1,1,0,0,0,0,0,0,2) 102 420 (0,64,116) (1,2,0,0,0,2,1,1,1,1,1,1,0,0,0,2,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,2) 103 210 (79,100,162) (1,1,1,1,1,2,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,1,1,1,2,2,2,1,1,1,1,1,1,2) 104 210 (0,79,100) (0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,1,1,1,1,1,1,2) 105 1260 (0,107,281) (1,1,0,0,1,1,0,0,1,0,0,2,0,0,0,1,0,0,1,2,2,2,1,1,1,0,0,2,0,0,0,1,1,1,2) 106 210 (91,204,259) (2,2,2,1,1,1,1,1,1,1,0,0,0,0,2,1,1,1,1,1,0,0,0,0,2,2,1,1,1,1,2,2,2,1,1) 107 630 (79,91,162) (1,1,1,1,1,1,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,0,1,1,2,2,2,2,1,1,1,1,1,1,2) 108 210 (79,90,100) (1,1,1,1,1,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,1,1,1,1,1,1,1) 109 630 (0,79,277) (1,1,0,0,1,2,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,2,2,2,0,0,0,0,0,0,1) 110 1260 (7,107,141) (1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,1,1,2,1,1,0,0,2,1,0,0,2,1,1,2) 111 1260 (0,107,285) (1,1,0,0,1,1,1,1,1,0,0,2,0,0,0,1,0,0,1,1,1,2,1,1,1,0,0,2,0,0,0,1,1,1,2) 112 630 (0,100,286) (1,1,1,1,1,2,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,1,1,2,1,1,1,1,1,1,2) 113 1260 (0,90,126) (1,2,1,2,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,2) 114 630 (79,90,91) (1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,2,2,2,1,1,1,1,1,1,1) 115 630 (0,79,286) (1,1,1,1,1,2,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,1,1,2,0,0,0,0,0,0,1) 116 1260 (0,7,36) (0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,2,0,0,1,1,1,2,2) 117 420 (19,35,64) (1,1,0,0,0,2,1,1,1,1,1,1,1,1,1,2,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2) 118 1260 (0,36,90) (1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,2,2) 119 1260 (0,7,46) (0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,2,1,1,0,0,1,1,0,0,1,0,0,2) 120 420 (7,31,37) (0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,2,0,1,0,1,2,1,1) 121 1260 (0,7,95) (0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,2,1,1,1,1,1,1,2) 122 420 (0,63,70) (1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,2,1,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,2) 123 2520 (0,7,107) (0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,2,0,0,0,1,1,1,2) 124 1260 (0,90,94) (1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,1,1,1,1,2) 125 2520 (0,7,281) (1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,2,0,0,0,0,0,0,1) 126 1260 (7,31,130) (0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,2,0,1,0,0,1,0,1) 127 420 (0,19,100) (0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2) 128 210 (0,79,162) (1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,2) 129 630 (0,7,162) (1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,2) 130 630 (0,70,279) (1,1,1,0,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,1,2) 131 630 (0,70,90) (1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2) 132 1260 (0,7,141) (1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,2) 133 630 (0,7,72) (0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,2) 134 420 (0,19,79) (0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1) 135 105 (0,79,90) (1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1) 136 315 (0,7,90) (1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1) 137 840 (0,7,14) (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1) 138 105 (0,7,30) (0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1) 139 630 (0,7,31) (0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1)

### Dimension 9

 Index Orbit size Rays Plücker coordinates 0 630 (330,339) (3,3,3,3,2,3,1,1,0,1,1,0,3,2,4,3,1,1,0,1,1,0,3,2,4,3,3,2,3,4,2,3,4,2,4) 1 630 (35,330) (1,1,2,1,1,2,1,0,0,1,0,0,2,2,3,2,1,0,0,1,0,0,2,2,3,2,1,1,3,3,2,3,3,2,4) 2 630 (91,330) (1,1,2,1,1,2,1,0,0,1,0,0,1,1,3,2,1,0,0,1,0,0,1,1,3,3,2,2,3,3,2,3,3,2,3) 3 1260 (91,339) (2,2,1,2,1,1,0,1,0,0,1,0,2,1,3,1,0,1,0,0,1,0,2,1,3,2,3,2,2,3,2,2,3,2,3) 4 630 (100,339) (2,2,1,2,1,2,0,1,0,0,1,0,2,1,2,2,0,1,0,0,1,0,2,1,2,2,3,2,2,3,2,2,3,2,3) 5 630 (79,330) (1,1,2,1,1,3,1,0,0,1,0,0,1,1,2,3,1,0,0,1,0,0,1,1,2,3,2,2,2,2,1,2,2,1,2) 6 630 (35,91) (0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,1,1,2,1,1,1,2,2,2,2,2,2,3) 7 210 (35,100) (0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3) 8 1260 (0,311) (1,1,1,2,1,0,2,1,0,0,1,2,1,0,1,0,2,1,0,0,1,2,1,0,1,1,2,1,2,1,2,2,1,2,3) 9 630 (91,616) (1,1,2,1,1,1,0,-1,-1,0,-1,-1,0,0,2,1,0,-1,-1,0,-1,-1,0,0,2,3,2,2,1,1,2,1,1,2,3) 10 1260 (0,320) (2,2,2,1,1,1,1,0,0,1,2,2,0,0,1,1,1,0,0,1,2,2,0,0,1,2,1,1,1,1,2,1,1,2,3) 11 105 (35,70) (0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,1,1,2,0,0,0,1,1,2,1,1,2,3) 12 315 (70,616) (1,1,2,1,1,1,0,-1,-1,0,-1,-1,0,0,2,1,0,-1,-1,0,-1,-1,0,0,2,2,1,1,0,0,2,0,0,2,3) 13 315 (0,358) (1,1,0,0,2,1,2,2,2,0,0,2,1,1,1,1,0,0,2,2,2,2,1,1,1,0,0,2,1,1,1,1,1,1,3) 14 35 (0,35) (0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,3) 15 315 (0,616) (1,1,2,1,1,1,0,-1,-1,0,-1,-1,0,0,1,1,0,-1,-1,0,-1,-1,0,0,1,2,1,1,0,0,1,0,0,1,3) 16 315 (91,100) (0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2) 17 420 (35,204) (1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,1,2,2,1,2) 18 210 (79,100) (0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,1,1,1,1,1,1,1) 19 630 (91,132) (0,0,1,1,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,1,1,2,1,1,1,1,2,1,1,2,1,2) 20 630 (91,162) (1,1,1,1,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,1,1,2,1,1,1,1,1,1,1,1,1,2) 21 630 (79,91) (0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,2,2,2,1,1,1,1,1,1,1) 22 420 (0,36) (0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,2,2) 23 70 (35,64) (1,1,0,0,0,2,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2) 24 105 (100,162) (1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2) 25 210 (35,79) (0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2) 26 1260 (0,94) (0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,1,1,1,1,2) 27 210 (0,100) (0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2) 28 140 (7,46) (0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,2,1,1,0,0,1,1,0,0,1,0,0,1) 29 420 (0,126) (0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,2) 30 105 (0,70) (0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2) 31 210 (79,132) (0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,1,0,1) 32 630 (7,141) (1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1) 33 105 (79,90) (1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0) 34 210 (0,90) (1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1) 35 315 (0,7) (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1) 36 70 (7,31) (0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0)

### Dimension 8

 Index Orbit size Rays Plücker coordinates 0 315 (330) (1,1,2,1,1,2,1,0,0,1,0,0,1,1,2,2,1,0,0,1,0,0,1,1,2,2,1,1,2,2,1,2,2,1,2) 1 35 (35) (0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,1,1,2) 2 105 (616) (1,1,2,1,1,1,0,-1,-1,0,-1,-1,0,0,1,1,0,-1,-1,0,-1,-1,0,0,1,2,1,1,0,0,1,0,0,1,2) 3 210 (91) (0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1) 4 21 (79) (0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0) 5 35 (0) (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1)

### Dimension 7

 Index Orbit size Rays Plücker coordinates 0 1 () (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)