Magma V2.19-8 Tue Aug 20 2013 16:16:52 on localhost [Seed = 1275973778] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1131 geometric_solution 4.99638177 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 1 2031 0132 1302 1023 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 0 0 0 0 0 0 0 0.370972433516 0.078588092295 2 0 2 0 0132 0132 2310 1023 0 0 0 0 0 1 -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 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 -1.197210326654 1.726837064120 1 1 3 4 0132 3201 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 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 0 0 0 0 1 0 -1 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 0.182125747469 0.981698290976 5 4 4 2 0132 1023 2031 0132 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 -1 0 0 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 0.269460132138 0.716537823476 3 5 2 3 1023 2310 0132 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269460132138 0.716537823476 3 6 6 4 0132 0132 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 -0.039714898525 0.698939009268 6 5 5 6 3201 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.780977950386 0.556658852631 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(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' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : 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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0110_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0110_0'], 'c_1010_0' : 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_3, c_0101_1, c_0101_2, c_0101_3, c_0101_6, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 1/18*c_0110_0, c_0011_0 - 1, c_0011_3 + c_0110_0, c_0101_1 - c_0110_0, c_0101_2 - 2, c_0101_3 - 1, c_0101_6 - 1, c_0110_0^2 - 3 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_1, c_0101_2, c_0101_3, c_0101_6, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 62/3*c_0110_0^5 - 331/3*c_0110_0^3 + 117*c_0110_0, c_0011_0 - 1, c_0011_3 - c_0110_0^3 + c_0110_0, c_0101_1 - c_0110_0^3 + 2*c_0110_0, c_0101_2 - c_0110_0^2 + 1, c_0101_3 + c_0110_0^4 - 3*c_0110_0^2 + 2, c_0101_6 - c_0110_0^4 + 3*c_0110_0^2 - 1, c_0110_0^6 - 6*c_0110_0^4 + 9*c_0110_0^2 - 3 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_1, c_0101_2, c_0101_3, c_0101_6, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t - 228*c_0110_0^29 + 31381/6*c_0110_0^27 - 53831*c_0110_0^25 + 983668/3*c_0110_0^23 - 3938746/3*c_0110_0^21 + 10894471/3*c_0110_0^19 - 14202371/2*c_0110_0^17 + 29673980/3*c_0110_0^15 - 58730695/6*c_0110_0^13 + 40958585/6*c_0110_0^11 - 9992078/3*c_0110_0^9 + 6790945/6*c_0110_0^7 - 515491/2*c_0110_0^5 + 64517/2*c_0110_0^3 - 1294*c_0110_0, c_0011_0 - 1, c_0011_3 + 5*c_0110_0^29 - 114*c_0110_0^27 + 1165*c_0110_0^25 - 7037*c_0110_0^23 + 27902*c_0110_0^21 - 76299*c_0110_0^19 + 147261*c_0110_0^17 - 202201*c_0110_0^15 + 197241*c_0110_0^13 - 135955*c_0110_0^11 + 66000*c_0110_0^9 - 22489*c_0110_0^7 + 5151*c_0110_0^5 - 670*c_0110_0^3 + 31*c_0110_0, c_0101_1 - c_0110_0^3 + 2*c_0110_0, c_0101_2 - c_0110_0^2 + 1, c_0101_3 + c_0110_0^6 - 5*c_0110_0^4 + 6*c_0110_0^2 - 1, c_0101_6 + 9*c_0110_0^28 - 205*c_0110_0^26 + 2092*c_0110_0^24 - 12611*c_0110_0^22 + 49861*c_0110_0^20 - 135799*c_0110_0^18 + 260607*c_0110_0^16 - 354934*c_0110_0^14 + 342230*c_0110_0^12 - 232071*c_0110_0^10 + 110226*c_0110_0^8 - 36567*c_0110_0^6 + 8093*c_0110_0^4 - 984*c_0110_0^2 + 38, c_0110_0^30 - 24*c_0110_0^28 + 260*c_0110_0^26 - 1679*c_0110_0^24 + 7190*c_0110_0^22 - 21495*c_0110_0^20 + 46018*c_0110_0^18 - 71281*c_0110_0^16 + 79922*c_0110_0^14 - 64516*c_0110_0^12 + 37264*c_0110_0^10 - 15360*c_0110_0^8 + 4467*c_0110_0^6 - 849*c_0110_0^4 + 87*c_0110_0^2 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB