Magma V2.19-8 Tue Aug 20 2013 16:19:22 on localhost [Seed = 1031577656] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3465 geometric_solution 6.67309616 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 0 1 -1 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 -0.285569700060 0.898101925459 0 2 2 4 0132 3012 2031 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.649051000304 0.696420581986 1 0 3 1 1230 0132 3120 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 -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 0.027584318801 0.951732583694 5 6 2 0 0132 0132 3120 0132 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 0 0 0 0 0 0 0 0 0 0 0.321537849226 1.011219892858 5 6 0 1 3201 1023 0132 0213 0 0 0 0 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 0 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 0.321537849226 1.011219892858 3 5 5 4 0132 1230 3012 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.801708145114 0.805383088543 4 3 6 6 1023 0132 2031 1302 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.378504350287 0.862896536095 ==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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0101_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_6'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], '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' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0110_6']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0101_6'], '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' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0110_6']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0101_6']})} 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_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 117237974344/17070291*c_0110_6^19 + 382329970504/5690097*c_0110_6^17 - 9450958543391/34140582*c_0110_6^15 + 29012482544719/45520776*c_0110_6^13 - 122283453861251/136562328*c_0110_6^11 + 107155232475463/136562328*c_0110_6^9 - 7322571219839/17070291*c_0110_6^7 + 2749496171099/19508904*c_0110_6^5 - 1707799973219/68281164*c_0110_6^3 + 121302691207/68281164*c_0110_6, c_0011_0 - 1, c_0011_3 - 16385440/270957*c_0110_6^18 + 47634784/90319*c_0110_6^16 - 498447286/270957*c_0110_6^14 + 597515251/180638*c_0110_6^12 - 1639883105/541914*c_0110_6^10 + 471243301/541914*c_0110_6^8 + 174624409/270957*c_0110_6^6 - 339479395/541914*c_0110_6^4 + 52372462/270957*c_0110_6^2 - 5506862/270957, c_0101_0 - 81096032/90319*c_0110_6^19 + 783651968/90319*c_0110_6^17 - 3178446490/90319*c_0110_6^15 + 14360556619/180638*c_0110_6^13 - 9852076666/90319*c_0110_6^11 + 16764581075/180638*c_0110_6^9 - 8870836591/180638*c_0110_6^7 + 1410065924/90319*c_0110_6^5 - 243945615/90319*c_0110_6^3 + 17391459/90319*c_0110_6, c_0101_1 - 53923328/270957*c_0110_6^18 + 173880800/90319*c_0110_6^16 - 2121241376/270957*c_0110_6^14 + 1605577274/90319*c_0110_6^12 - 13343313661/541914*c_0110_6^10 + 5772801124/270957*c_0110_6^8 - 6280634981/541914*c_0110_6^6 + 2074791841/541914*c_0110_6^4 - 188263000/270957*c_0110_6^2 + 13937366/270957, c_0101_2 + 129605152/812871*c_0110_6^19 - 399471424/270957*c_0110_6^17 + 4578852526/812871*c_0110_6^15 - 6367201603/541914*c_0110_6^13 + 11689470907/812871*c_0110_6^11 - 16664537659/1625742*c_0110_6^9 + 6644191597/1625742*c_0110_6^7 - 597813172/812871*c_0110_6^5 - 3841681/812871*c_0110_6^3 + 11427686/812871*c_0110_6, c_0101_6 - 64132736/812871*c_0110_6^18 + 214553696/270957*c_0110_6^16 - 2741377880/812871*c_0110_6^14 + 2193812968/270957*c_0110_6^12 - 19526151145/1625742*c_0110_6^10 + 9192719104/812871*c_0110_6^8 - 10997571935/1625742*c_0110_6^6 + 4029605221/1625742*c_0110_6^4 - 407555518/812871*c_0110_6^2 + 33711776/812871, c_0110_6^20 - 10*c_0110_6^18 + 679/16*c_0110_6^16 - 6505/64*c_0110_6^14 + 4829/32*c_0110_6^12 - 9177/64*c_0110_6^10 + 5653/64*c_0110_6^8 - 279/8*c_0110_6^6 + 135/16*c_0110_6^4 - 9/8*c_0110_6^2 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB