Magma V2.19-8 Wed Aug 21 2013 01:01:20 on localhost [Seed = 1191271561] Type ? for help. Type -D to quit. Loading file "L14n1034__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1034 geometric_solution 11.60318623 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 1 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.147972941731 1.749733723555 0 5 7 6 0132 0132 0132 0132 0 1 1 1 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 -1 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.046282171582 0.631998008460 8 0 10 9 0132 0132 0132 0132 0 1 1 1 0 1 0 -1 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.093392239386 0.410626131857 6 11 5 0 0132 0132 0132 0132 0 1 1 1 0 0 0 0 0 0 0 0 0 -1 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 -1 0 0 1 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439741371653 0.567133181513 9 11 0 7 0213 0321 0132 0321 0 1 1 1 0 0 -1 1 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.216152274900 0.629800370390 8 1 12 3 1023 0132 0132 0132 0 1 1 1 0 0 0 0 1 0 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 1 -1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.253800541397 1.359195637317 3 10 1 9 0132 0213 0132 0213 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.606427105228 0.967887913814 8 4 12 1 3120 0321 0321 0132 0 1 1 1 0 -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 0 1 0 -1 -1 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 0 0.384848086946 0.988651719934 2 5 11 7 0132 1023 3201 3120 1 1 1 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630885838304 1.131009490027 4 12 2 6 0213 0132 0132 0213 0 1 1 1 0 -1 1 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.828513621269 1.398813925822 12 11 6 2 0321 0213 0213 0132 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.329249869197 1.635493799154 8 3 10 4 2310 0132 0213 0321 0 1 1 1 0 0 0 0 1 0 0 -1 0 0 0 0 -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 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 0.427361302827 0.944768507226 10 9 7 5 0321 0132 0321 0132 0 1 1 1 0 1 -1 0 -1 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 0 0 0 0 0 1 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 0 0.445879857507 0.485184409871 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_7'], 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : d['c_1001_12'], 'c_1100_6' : d['c_1001_12'], 'c_1100_1' : d['c_1001_12'], 'c_1100_0' : d['c_1001_7'], 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : d['c_1010_6'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1010_6'], 'c_1100_11' : d['c_1001_2'], 'c_1100_10' : d['c_1010_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : negation(d['c_0011_7']), 'c_1100_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_7'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_11'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_4']), 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : negation(d['c_0011_12']), 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : negation(d['c_0011_12']), 'c_0101_1' : negation(d['c_0011_12']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_4'], 'c_0101_8' : d['c_0011_4'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_12']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : negation(d['c_0011_12']), 'c_0110_6' : negation(d['c_0011_7'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0011_7, c_0101_0, c_1001_0, c_1001_1, c_1001_12, c_1001_2, c_1001_7, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 9841966940371/16343963884352*c_1010_6^9 + 10429662128527/2884228920768*c_1010_6^8 - 262933047970027/49031891653056*c_1010_6^7 + 5291697234913/2884228920768*c_1010_6^6 - 31996779830945/3771683973312*c_1010_6^5 + 90527598321985/49031891653056*c_1010_6^4 - 69588799060469/1885841986656*c_1010_6^3 - 84766829465235/8171981942176*c_1010_6^2 - 902067138731273/49031891653056*c_1010_6 - 117572808040387/49031891653056, c_0011_0 - 1, c_0011_10 + 103447/19353760*c_1010_6^9 - 579281/19353760*c_1010_6^8 + 77793/3870752*c_1010_6^7 + 1867673/19353760*c_1010_6^6 - 343305/3870752*c_1010_6^5 + 1879153/19353760*c_1010_6^4 + 279063/9676880*c_1010_6^3 + 574763/1935376*c_1010_6^2 - 1803401/19353760*c_1010_6 - 4885371/19353760, c_0011_11 - 457283/77415040*c_1010_6^9 + 1944281/77415040*c_1010_6^8 + 61391/77415040*c_1010_6^7 - 1051993/77415040*c_1010_6^6 - 12691519/77415040*c_1010_6^5 - 1802173/15483008*c_1010_6^4 - 1794047/7741504*c_1010_6^3 - 41173431/38707520*c_1010_6^2 - 55453667/77415040*c_1010_6 + 24813099/77415040, c_0011_12 - 1552499/77415040*c_1010_6^9 + 1304405/15483008*c_1010_6^8 + 2889823/77415040*c_1010_6^7 - 18990153/77415040*c_1010_6^6 - 16718383/77415040*c_1010_6^5 - 34594561/77415040*c_1010_6^4 - 43745691/38707520*c_1010_6^3 - 16616427/7741504*c_1010_6^2 - 148855091/77415040*c_1010_6 - 11598977/15483008, c_0011_4 + 248509/77415040*c_1010_6^9 - 1341911/77415040*c_1010_6^8 + 2379823/77415040*c_1010_6^7 - 4156297/77415040*c_1010_6^6 + 780033/77415040*c_1010_6^5 + 23029407/77415040*c_1010_6^4 + 2694117/38707520*c_1010_6^3 + 25743737/38707520*c_1010_6^2 + 13094713/15483008*c_1010_6 + 49419003/77415040, c_0011_7 + 97421/9676880*c_1010_6^9 - 29589/2419220*c_1010_6^8 - 1748031/9676880*c_1010_6^7 + 1276301/4838440*c_1010_6^6 + 2781317/9676880*c_1010_6^5 + 378325/967688*c_1010_6^4 + 884199/967688*c_1010_6^3 + 5729921/2419220*c_1010_6^2 + 24130493/9676880*c_1010_6 + 5409399/4838440, c_0101_0 - 657029/77415040*c_1010_6^9 + 1484751/77415040*c_1010_6^8 + 5051097/77415040*c_1010_6^7 + 4640497/77415040*c_1010_6^6 - 40940393/77415040*c_1010_6^5 - 30971927/77415040*c_1010_6^4 - 24432317/38707520*c_1010_6^3 - 80834257/38707520*c_1010_6^2 - 46828097/15483008*c_1010_6 - 104771123/77415040, c_1001_0 - 1, c_1001_1 + 385873/7741504*c_1010_6^9 - 1714651/7741504*c_1010_6^8 - 136053/7741504*c_1010_6^7 + 3808315/7741504*c_1010_6^6 + 4918341/7741504*c_1010_6^5 + 4709107/7741504*c_1010_6^4 + 12400353/3870752*c_1010_6^3 + 20660221/3870752*c_1010_6^2 + 24349121/7741504*c_1010_6 + 10754767/7741504, c_1001_12 + 9215/7741504*c_1010_6^9 - 266913/7741504*c_1010_6^8 + 1016621/7741504*c_1010_6^7 + 26457/7741504*c_1010_6^6 - 1594949/7741504*c_1010_6^5 - 3839119/7741504*c_1010_6^4 - 1101153/3870752*c_1010_6^3 - 5489897/3870752*c_1010_6^2 - 19616257/7741504*c_1010_6 - 12158395/7741504, c_1001_2 - 341543/7741504*c_1010_6^9 + 1616481/7741504*c_1010_6^8 - 466021/7741504*c_1010_6^7 - 2631705/7741504*c_1010_6^6 - 3674467/7741504*c_1010_6^5 - 5013473/7741504*c_1010_6^4 - 10196047/3870752*c_1010_6^3 - 17609183/3870752*c_1010_6^2 - 22056183/7741504*c_1010_6 - 14882405/7741504, c_1001_7 + 13735/7741504*c_1010_6^9 + 184983/7741504*c_1010_6^8 - 1287499/7741504*c_1010_6^7 + 1158865/7741504*c_1010_6^6 + 789891/7741504*c_1010_6^5 + 4584729/7741504*c_1010_6^4 + 1095871/3870752*c_1010_6^3 + 6587783/3870752*c_1010_6^2 + 16478967/7741504*c_1010_6 + 9493981/7741504, c_1010_6^10 - 4*c_1010_6^9 - 2*c_1010_6^8 + 8*c_1010_6^7 + 18*c_1010_6^6 + 22*c_1010_6^5 + 71*c_1010_6^4 + 136*c_1010_6^3 + 135*c_1010_6^2 + 86*c_1010_6 + 41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB