Magma V2.19-8 Tue Aug 20 2013 16:16:08 on localhost [Seed = 1646526115] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0392 geometric_solution 4.45891504 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 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 -1 1 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 0.857262411088 0.067100992662 0 3 0 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0.789867941262 0.173465579590 2 0 2 0 2310 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 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 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 0.883802541448 0.041759865867 4 1 5 1 0132 0132 0132 1023 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 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 0 0 0 0 0 0.858640348595 0.705781581534 3 6 5 5 0132 0132 3012 1230 0 0 0 0 0 0 0 0 0 0 1 -1 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 1.179597927867 1.227557617144 4 4 6 3 3012 1230 0132 0132 0 0 0 0 0 -1 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 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 0 0 0 0 0 1.179597927867 1.227557617144 6 4 6 5 2310 0132 3201 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 -1 0 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.224160246797 0.829168644795 ==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' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : negation(d['c_0101_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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 25 Groebner basis: [ t - 560614/11*c_0101_5^24 + 354626/11*c_0101_5^23 + 8938612/11*c_0101_5^22 + 7958655/11*c_0101_5^21 - 56270359/11*c_0101_5^20 - 78022100/11*c_0101_5^19 + 167636885/11*c_0101_5^18 + 306033756/11*c_0101_5^17 - 284412235/11*c_0101_5^16 - 669175667/11*c_0101_5^15 + 27940285*c_0101_5^14 + 942789629/11*c_0101_5^13 - 242974993/11*c_0101_5^12 - 923567350/11*c_0101_5^11 + 166071321/11*c_0101_5^10 + 645831882/11*c_0101_5^9 - 110221157/11*c_0101_5^8 - 318955997/11*c_0101_5^7 + 64430391/11*c_0101_5^6 + 105251853/11*c_0101_5^5 - 26712259/11*c_0101_5^4 - 20484823/11*c_0101_5^3 + 6344229/11*c_0101_5^2 + 157794*c_0101_5 - 621715/11, c_0011_0 - 1, c_0011_5 + c_0101_5^24 - c_0101_5^23 - 16*c_0101_5^22 - 8*c_0101_5^21 + 110*c_0101_5^20 + 104*c_0101_5^19 - 380*c_0101_5^18 - 460*c_0101_5^17 + 807*c_0101_5^16 + 1111*c_0101_5^15 - 1189*c_0101_5^14 - 1715*c_0101_5^13 + 1336*c_0101_5^12 + 1819*c_0101_5^11 - 1205*c_0101_5^10 - 1354*c_0101_5^9 + 873*c_0101_5^8 + 692*c_0101_5^7 - 486*c_0101_5^6 - 222*c_0101_5^5 + 191*c_0101_5^4 + 33*c_0101_5^3 - 46*c_0101_5^2 + c_0101_5 + 5, c_0101_0 + 122*c_0101_5^24 - 84*c_0101_5^23 - 1975*c_0101_5^22 - 1597*c_0101_5^21 + 12875*c_0101_5^20 + 16714*c_0101_5^19 - 40789*c_0101_5^18 - 68773*c_0101_5^17 + 75601*c_0101_5^16 + 158557*c_0101_5^15 - 92130*c_0101_5^14 - 236308*c_0101_5^13 + 83381*c_0101_5^12 + 245172*c_0101_5^11 - 63213*c_0101_5^10 - 182069*c_0101_5^9 + 42922*c_0101_5^8 + 96028*c_0101_5^7 - 24664*c_0101_5^6 - 34244*c_0101_5^5 + 10337*c_0101_5^4 + 7337*c_0101_5^3 - 2611*c_0101_5^2 - 701*c_0101_5 + 285, c_0101_1 + 265*c_0101_5^24 - 121*c_0101_5^23 - 4357*c_0101_5^22 - 4413*c_0101_5^21 + 27506*c_0101_5^20 + 42615*c_0101_5^19 - 82748*c_0101_5^18 - 169690*c_0101_5^17 + 139118*c_0101_5^16 + 383368*c_0101_5^15 - 143224*c_0101_5^14 - 562530*c_0101_5^13 + 100405*c_0101_5^12 + 577893*c_0101_5^11 - 60414*c_0101_5^10 - 427777*c_0101_5^9 + 42864*c_0101_5^8 + 226612*c_0101_5^7 - 31453*c_0101_5^6 - 81817*c_0101_5^5 + 16471*c_0101_5^4 + 17871*c_0101_5^3 - 4845*c_0101_5^2 - 1751*c_0101_5 + 587, c_0101_2 - 555*c_0101_5^24 + 750*c_0101_5^23 + 8404*c_0101_5^22 + 1780*c_0101_5^21 - 58449*c_0101_5^20 - 36596*c_0101_5^19 + 201104*c_0101_5^18 + 170957*c_0101_5^17 - 429040*c_0101_5^16 - 400049*c_0101_5^15 + 630282*c_0101_5^14 + 572748*c_0101_5^13 - 691391*c_0101_5^12 - 535906*c_0101_5^11 + 581852*c_0101_5^10 + 325996*c_0101_5^9 - 368646*c_0101_5^8 - 115493*c_0101_5^7 + 164905*c_0101_5^6 + 12371*c_0101_5^5 - 45184*c_0101_5^4 + 5848*c_0101_5^3 + 5342*c_0101_5^2 - 1635*c_0101_5 + 88, c_0101_4 + 20*c_0101_5^24 - 16*c_0101_5^23 - 323*c_0101_5^22 - 225*c_0101_5^21 + 2152*c_0101_5^20 + 2512*c_0101_5^19 - 7074*c_0101_5^18 - 10616*c_0101_5^17 + 13920*c_0101_5^16 + 24988*c_0101_5^15 - 18529*c_0101_5^14 - 37945*c_0101_5^13 + 18671*c_0101_5^12 + 40009*c_0101_5^11 - 15488*c_0101_5^10 - 30081*c_0101_5^9 + 10839*c_0101_5^8 + 15978*c_0101_5^7 - 6079*c_0101_5^6 - 5692*c_0101_5^5 + 2446*c_0101_5^4 + 1202*c_0101_5^3 - 597*c_0101_5^2 - 110*c_0101_5 + 63, c_0101_5^25 - c_0101_5^24 - 16*c_0101_5^23 - 8*c_0101_5^22 + 110*c_0101_5^21 + 104*c_0101_5^20 - 380*c_0101_5^19 - 460*c_0101_5^18 + 807*c_0101_5^17 + 1111*c_0101_5^16 - 1189*c_0101_5^15 - 1715*c_0101_5^14 + 1336*c_0101_5^13 + 1819*c_0101_5^12 - 1205*c_0101_5^11 - 1354*c_0101_5^10 + 873*c_0101_5^9 + 692*c_0101_5^8 - 486*c_0101_5^7 - 222*c_0101_5^6 + 191*c_0101_5^5 + 33*c_0101_5^4 - 46*c_0101_5^3 + 2*c_0101_5^2 + 5*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB