Magma V2.19-8 Tue Aug 20 2013 16:16:24 on localhost [Seed = 2000087963] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0681 geometric_solution 4.64904219 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 2310 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.147429185200 1.223021295585 0 2 4 2 0132 3012 0132 1302 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.816241241837 0.596826541619 1 0 1 4 1230 0132 2031 2310 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 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 0.816241241837 0.596826541619 0 5 5 0 3201 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.273854560462 0.171360099639 2 6 6 1 3201 0132 3201 0132 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 1 -1 0 1 0 -1 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 0.327141872034 0.266787038697 3 3 5 5 2310 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5.456971407598 1.693883458681 4 4 6 6 2310 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.955569715727 1.915209433665 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(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' : 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_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 21339766/13325*c_0101_6^23 + 1184507/2665*c_0101_6^22 + 413088289/13325*c_0101_6^21 + 231419026/13325*c_0101_6^20 - 3267610837/13325*c_0101_6^19 - 4107884754/13325*c_0101_6^18 + 12120092589/13325*c_0101_6^17 + 1879057481/1025*c_0101_6^16 - 17629223316/13325*c_0101_6^15 - 13676735326/2665*c_0101_6^14 - 8906734192/13325*c_0101_6^13 + 97127339203/13325*c_0101_6^12 + 11644741088/2665*c_0101_6^11 - 68620411169/13325*c_0101_6^10 - 71215141083/13325*c_0101_6^9 + 19117624794/13325*c_0101_6^8 + 40899832816/13325*c_0101_6^7 + 2617761072/13325*c_0101_6^6 - 12163223634/13325*c_0101_6^5 - 114048929/533*c_0101_6^4 + 138315313/1025*c_0101_6^3 + 617466036/13325*c_0101_6^2 - 103799862/13325*c_0101_6 - 44746801/13325, c_0011_0 - 1, c_0011_3 - 26*c_0101_6^23 - 260*c_0101_6^22 + 801*c_0101_6^21 + 5275*c_0101_6^20 - 5298*c_0101_6^19 - 46134*c_0101_6^18 - 2678*c_0101_6^17 + 206483*c_0101_6^16 + 147025*c_0101_6^15 - 484261*c_0101_6^14 - 597508*c_0101_6^13 + 561298*c_0101_6^12 + 1102172*c_0101_6^11 - 220440*c_0101_6^10 - 1091178*c_0101_6^9 - 145878*c_0101_6^8 + 608687*c_0101_6^7 + 192587*c_0101_6^6 - 190056*c_0101_6^5 - 82547*c_0101_6^4 + 30752*c_0101_6^3 + 16162*c_0101_6^2 - 1988*c_0101_6 - 1219, c_0011_4 - c_0101_6^23 + c_0101_6^22 + 19*c_0101_6^21 - 3*c_0101_6^20 - 158*c_0101_6^19 - 82*c_0101_6^18 + 683*c_0101_6^17 + 719*c_0101_6^16 - 1554*c_0101_6^15 - 2489*c_0101_6^14 + 1693*c_0101_6^13 + 4475*c_0101_6^12 - 388*c_0101_6^11 - 4574*c_0101_6^10 - 969*c_0101_6^9 + 2767*c_0101_6^8 + 1082*c_0101_6^7 - 999*c_0101_6^6 - 521*c_0101_6^5 + 209*c_0101_6^4 + 134*c_0101_6^3 - 23*c_0101_6^2 - 17*c_0101_6 + 1, c_0101_0 - 11*c_0101_6^23 + 26*c_0101_6^22 + 193*c_0101_6^21 - 316*c_0101_6^20 - 1675*c_0101_6^19 + 1446*c_0101_6^18 + 8588*c_0101_6^17 - 2260*c_0101_6^16 - 27114*c_0101_6^15 - 4033*c_0101_6^14 + 53685*c_0101_6^13 + 22895*c_0101_6^12 - 67211*c_0101_6^11 - 41712*c_0101_6^10 + 53088*c_0101_6^9 + 40786*c_0101_6^8 - 25998*c_0101_6^7 - 23483*c_0101_6^6 + 7569*c_0101_6^5 + 8033*c_0101_6^4 - 1183*c_0101_6^3 - 1534*c_0101_6^2 + 73*c_0101_6 + 128, c_0101_1 - 16*c_0101_6^23 + 17*c_0101_6^22 + 302*c_0101_6^21 - 66*c_0101_6^20 - 2506*c_0101_6^19 - 1157*c_0101_6^18 + 10852*c_0101_6^17 + 10739*c_0101_6^16 - 24900*c_0101_6^15 - 37551*c_0101_6^14 + 28023*c_0101_6^13 + 67418*c_0101_6^12 - 8990*c_0101_6^11 - 68321*c_0101_6^10 - 11318*c_0101_6^9 + 40667*c_0101_6^8 + 13576*c_0101_6^7 - 14299*c_0101_6^6 - 6255*c_0101_6^5 + 2866*c_0101_6^4 + 1414*c_0101_6^3 - 293*c_0101_6^2 - 132*c_0101_6 + 11, c_0101_5 - 1139*c_0101_6^23 + 528*c_0101_6^22 + 22037*c_0101_6^21 + 8235*c_0101_6^20 - 177565*c_0101_6^19 - 187340*c_0101_6^18 + 693919*c_0101_6^17 + 1192372*c_0101_6^16 - 1202419*c_0101_6^15 - 3522809*c_0101_6^14 + 211471*c_0101_6^13 + 5382844*c_0101_6^12 + 2222102*c_0101_6^11 - 4335093*c_0101_6^10 - 3286147*c_0101_6^9 + 1702240*c_0101_6^8 + 2118403*c_0101_6^7 - 175418*c_0101_6^6 - 704489*c_0101_6^5 - 85815*c_0101_6^4 + 117401*c_0101_6^3 + 28022*c_0101_6^2 - 7734*c_0101_6 - 2433, c_0101_6^24 - c_0101_6^23 - 19*c_0101_6^22 + 3*c_0101_6^21 + 158*c_0101_6^20 + 82*c_0101_6^19 - 683*c_0101_6^18 - 719*c_0101_6^17 + 1554*c_0101_6^16 + 2489*c_0101_6^15 - 1693*c_0101_6^14 - 4475*c_0101_6^13 + 388*c_0101_6^12 + 4574*c_0101_6^11 + 969*c_0101_6^10 - 2767*c_0101_6^9 - 1082*c_0101_6^8 + 999*c_0101_6^7 + 521*c_0101_6^6 - 209*c_0101_6^5 - 134*c_0101_6^4 + 23*c_0101_6^3 + 18*c_0101_6^2 - c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB