Magma V2.19-8 Tue Aug 20 2013 16:14:28 on localhost [Seed = 1191631682] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s461 geometric_solution 4.80028258 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 3120 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 1 -1 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 -2 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.297098594986 0.679613414081 0 0 2 3 0132 3120 1023 2310 0 0 0 0 0 1 0 -1 0 0 0 0 -1 1 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 1 0 -1 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.297098594986 0.679613414081 4 4 1 0 0132 3201 1023 0132 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 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 0.611326148348 2.779536004300 1 5 0 5 3201 0132 0132 2310 0 0 0 0 0 0 -1 1 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 -1 2 -1 0 0 -1 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 0.642601717809 1.050699712233 2 4 2 4 0132 1302 2310 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.488698579777 0.566435491492 3 3 5 5 3201 0132 1230 3012 0 0 0 0 0 0 0 0 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 0 1 0 -1 -1 0 1 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.354996093434 0.226413083133 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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' : negation(d['1']), 's_1_0' : negation(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_1100_5' : d['c_0110_5'], 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_0, c_0101_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t - 1289698/11*c_0110_5^26 + 26486674/11*c_0110_5^24 - 239875255/11*c_0110_5^22 + 1268289383/11*c_0110_5^20 - 4311776685/11*c_0110_5^18 + 9756810742/11*c_0110_5^16 - 14809995864/11*c_0110_5^14 + 14990380705/11*c_0110_5^12 - 10155318132/11*c_0110_5^10 + 4612347479/11*c_0110_5^8 - 1386071766/11*c_0110_5^6 + 264422945/11*c_0110_5^4 - 2636048*c_0110_5^2 + 1390902/11, c_0011_0 - 1, c_0011_2 + 362*c_0110_5^27 - 5930*c_0110_5^25 + 36855*c_0110_5^23 - 84733*c_0110_5^21 - 192981*c_0110_5^19 + 1896411*c_0110_5^17 - 5919234*c_0110_5^15 + 10226980*c_0110_5^13 - 10558348*c_0110_5^11 + 6756020*c_0110_5^9 - 2708539*c_0110_5^7 + 663671*c_0110_5^5 - 91060*c_0110_5^3 + 5367*c_0110_5, c_0011_3 + 2*c_0110_5^27 - 42*c_0110_5^25 + 391*c_0110_5^23 - 2139*c_0110_5^21 + 7597*c_0110_5^19 - 18226*c_0110_5^17 + 29972*c_0110_5^15 - 33881*c_0110_5^13 + 26514*c_0110_5^11 - 14447*c_0110_5^9 + 5463*c_0110_5^7 - 1406*c_0110_5^5 + 235*c_0110_5^3 - 22*c_0110_5, c_0101_0 - 40*c_0110_5^27 + 838*c_0110_5^25 - 7778*c_0110_5^23 + 42389*c_0110_5^21 - 149801*c_0110_5^19 + 356923*c_0110_5^17 - 581214*c_0110_5^15 + 647648*c_0110_5^13 - 496399*c_0110_5^11 + 262426*c_0110_5^9 - 94813*c_0110_5^7 + 22657*c_0110_5^5 - 3294*c_0110_5^3 + 226*c_0110_5, c_0101_2 - 8362*c_0110_5^26 + 172408*c_0110_5^24 - 1568917*c_0110_5^22 + 8343886*c_0110_5^20 - 28575976*c_0110_5^18 + 65287854*c_0110_5^16 - 100375190*c_0110_5^14 + 103316549*c_0110_5^12 - 71391623*c_0110_5^10 + 33133733*c_0110_5^8 - 10184843*c_0110_5^6 + 1988222*c_0110_5^4 - 223102*c_0110_5^2 + 10945, c_0110_5^28 - 21*c_0110_5^26 + 391/2*c_0110_5^24 - 2139/2*c_0110_5^22 + 7597/2*c_0110_5^20 - 9113*c_0110_5^18 + 14986*c_0110_5^16 - 33881/2*c_0110_5^14 + 13257*c_0110_5^12 - 14447/2*c_0110_5^10 + 5463/2*c_0110_5^8 - 703*c_0110_5^6 + 235/2*c_0110_5^4 - 23/2*c_0110_5^2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB