Magma V2.19-8 Tue Aug 20 2013 16:16:33 on localhost [Seed = 1275973779] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0849 geometric_solution 4.76573728 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 -1 0 1 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 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 -0.286241186288 0.460757159679 0 4 0 4 0132 0132 2310 1023 0 0 0 0 0 0 0 0 -1 0 1 0 -1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.008095390224 2.920431271135 3 5 3 0 1230 0132 2031 0132 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 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 0.776769813116 0.778696581733 5 2 0 2 2310 3012 0132 1302 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 -1 1 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 0.776769813116 0.778696581733 4 1 4 1 2031 0132 1302 1023 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 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 0.349825176188 0.147392604219 6 2 3 6 0132 0132 3201 1023 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 -1 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.047188267761 0.348943184116 5 6 6 5 0132 3201 2310 1023 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.161348499890 0.216529500657 ==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_2_6' : 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_0_6' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_2'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_2'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : 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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0110_4'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0011_2'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : negation(d['c_0011_2'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_1, c_0101_2, c_0101_5, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 2618*c_0110_4^23 + 7387*c_0110_4^22 + 42320*c_0110_4^21 - 126472*c_0110_4^20 - 288272*c_0110_4^19 + 925074*c_0110_4^18 + 1072426*c_0110_4^17 - 3782943*c_0110_4^16 - 2330228*c_0110_4^15 + 9506043*c_0110_4^14 + 2788996*c_0110_4^13 - 15198297*c_0110_4^12 - 1033366*c_0110_4^11 + 15481928*c_0110_4^10 - 1772823*c_0110_4^9 - 9772441*c_0110_4^8 + 2696111*c_0110_4^7 + 3560602*c_0110_4^6 - 1483930*c_0110_4^5 - 638771*c_0110_4^4 + 343662*c_0110_4^3 + 45564*c_0110_4^2 - 27577*c_0110_4 - 1928, c_0011_0 - 1, c_0011_2 + c_0110_4^2 - 1, c_0101_1 - c_0110_4^3 + 2*c_0110_4, c_0101_2 - c_0110_4^6 + 5*c_0110_4^4 - 6*c_0110_4^2 + 1, c_0101_5 - c_0110_4^23 + 4*c_0110_4^22 + 12*c_0110_4^21 - 64*c_0110_4^20 - 43*c_0110_4^19 + 429*c_0110_4^18 - 44*c_0110_4^17 - 1562*c_0110_4^16 + 779*c_0110_4^15 + 3336*c_0110_4^14 - 2553*c_0110_4^13 - 4161*c_0110_4^12 + 4243*c_0110_4^11 + 2722*c_0110_4^10 - 3936*c_0110_4^9 - 514*c_0110_4^8 + 1948*c_0110_4^7 - 318*c_0110_4^6 - 426*c_0110_4^5 + 133*c_0110_4^4 + 23*c_0110_4^3 - 7*c_0110_4^2 + c_0110_4 - 1, c_0101_6 + 2*c_0110_4^23 - 10*c_0110_4^22 - 15*c_0110_4^21 + 148*c_0110_4^20 - 53*c_0110_4^19 - 884*c_0110_4^18 + 978*c_0110_4^17 + 2667*c_0110_4^16 - 4606*c_0110_4^15 - 3921*c_0110_4^14 + 11075*c_0110_4^13 + 1073*c_0110_4^12 - 14957*c_0110_4^11 + 5058*c_0110_4^10 + 10914*c_0110_4^9 - 7530*c_0110_4^8 - 3355*c_0110_4^7 + 4290*c_0110_4^6 - 213*c_0110_4^5 - 943*c_0110_4^4 + 242*c_0110_4^3 + 59*c_0110_4^2 - 22*c_0110_4, c_0110_4^24 - 4*c_0110_4^23 - 13*c_0110_4^22 + 68*c_0110_4^21 + 55*c_0110_4^20 - 493*c_0110_4^19 + c_0110_4^18 + 1991*c_0110_4^17 - 823*c_0110_4^16 - 4898*c_0110_4^15 + 3332*c_0110_4^14 + 7497*c_0110_4^13 - 6796*c_0110_4^12 - 6883*c_0110_4^11 + 8179*c_0110_4^10 + 3236*c_0110_4^9 - 5885*c_0110_4^8 - 195*c_0110_4^7 + 2381*c_0110_4^6 - 457*c_0110_4^5 - 465*c_0110_4^4 + 151*c_0110_4^3 + 35*c_0110_4^2 - 13*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB