Magma V2.19-8 Tue Aug 20 2013 16:16:31 on localhost [Seed = 374835953] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0800 geometric_solution 4.74001819 oriented_manifold CS_known -0.0000000000000003 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 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 1.034392426838 1.307752824416 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 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 0.757333014190 0.582150165616 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 -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 0.757333014190 0.582150165616 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.266162620650 0.188386423586 2 6 6 1 3201 0132 1023 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 0 -1 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 0.371999320291 0.237359279206 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 5.335414327944 1.829180325359 6 4 4 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 -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 1.102476803972 1.011623270121 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_4']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : 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' : 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_0101_6']), 'c_1010_6' : 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 + 335795/217*c_0101_6^23 + 6565568/217*c_0101_6^22 + 53994223/217*c_0101_6^21 + 237654953/217*c_0101_6^20 + 574993908/217*c_0101_6^19 + 627077842/217*c_0101_6^18 - 168456712/217*c_0101_6^17 - 894084634/217*c_0101_6^16 + 102812989/217*c_0101_6^15 + 1136087556/217*c_0101_6^14 - 299953463/217*c_0101_6^13 - 1029288826/217*c_0101_6^12 + 700975092/217*c_0101_6^11 + 474718037/217*c_0101_6^10 - 757138686/217*c_0101_6^9 + 22714843/31*c_0101_6^8 + 44965202/31*c_0101_6^7 - 281756457/217*c_0101_6^6 + 58913577/217*c_0101_6^5 + 58715960/217*c_0101_6^4 - 56568458/217*c_0101_6^3 + 23997630/217*c_0101_6^2 - 5599553/217*c_0101_6 + 608991/217, c_0011_0 - 1, c_0011_3 - 8*c_0101_6^23 - 153*c_0101_6^22 - 1219*c_0101_6^21 - 5102*c_0101_6^20 - 11195*c_0101_6^19 - 8714*c_0101_6^18 + 11300*c_0101_6^17 + 20576*c_0101_6^16 - 11811*c_0101_6^15 - 27438*c_0101_6^14 + 18856*c_0101_6^13 + 23278*c_0101_6^12 - 27627*c_0101_6^11 - 5830*c_0101_6^10 + 23967*c_0101_6^9 - 10708*c_0101_6^8 - 7093*c_0101_6^7 + 10152*c_0101_6^6 - 3751*c_0101_6^5 - 1253*c_0101_6^4 + 2040*c_0101_6^3 - 1043*c_0101_6^2 + 280*c_0101_6 - 34, c_0011_4 - 3*c_0101_6^23 - 58*c_0101_6^22 - 468*c_0101_6^21 - 1987*c_0101_6^20 - 4416*c_0101_6^19 - 3326*c_0101_6^18 + 5581*c_0101_6^17 + 10747*c_0101_6^16 - 4333*c_0101_6^15 - 17399*c_0101_6^14 + 1577*c_0101_6^13 + 14600*c_0101_6^12 - 5723*c_0101_6^11 - 8355*c_0101_6^10 + 7442*c_0101_6^9 + 815*c_0101_6^8 - 4044*c_0101_6^7 + 2023*c_0101_6^6 + 204*c_0101_6^5 - 718*c_0101_6^4 + 396*c_0101_6^3 - 113*c_0101_6^2 + 17*c_0101_6 - 1, c_0101_0 - 6*c_0101_6^23 - 112*c_0101_6^22 - 858*c_0101_6^21 - 3337*c_0101_6^20 - 6077*c_0101_6^19 - 315*c_0101_6^18 + 16564*c_0101_6^17 + 14521*c_0101_6^16 - 25414*c_0101_6^15 - 33954*c_0101_6^14 + 24700*c_0101_6^13 + 30657*c_0101_6^12 - 29856*c_0101_6^11 - 12372*c_0101_6^10 + 26177*c_0101_6^9 - 6123*c_0101_6^8 - 10267*c_0101_6^7 + 8855*c_0101_6^6 - 1464*c_0101_6^5 - 1959*c_0101_6^4 + 1625*c_0101_6^3 - 609*c_0101_6^2 + 123*c_0101_6 - 11, c_0101_1 - c_0101_6^23 - 19*c_0101_6^22 - 150*c_0101_6^21 - 619*c_0101_6^20 - 1322*c_0101_6^19 - 924*c_0101_6^18 + 1528*c_0101_6^17 + 2381*c_0101_6^16 - 1774*c_0101_6^15 - 3208*c_0101_6^14 + 2758*c_0101_6^13 + 2565*c_0101_6^12 - 3774*c_0101_6^11 - 257*c_0101_6^10 + 3028*c_0101_6^9 - 1717*c_0101_6^8 - 672*c_0101_6^7 + 1353*c_0101_6^6 - 638*c_0101_6^5 - 77*c_0101_6^4 + 264*c_0101_6^3 - 164*c_0101_6^2 + 57*c_0101_6 - 10, c_0101_5 - 21*c_0101_6^23 - 423*c_0101_6^22 - 3620*c_0101_6^21 - 16870*c_0101_6^20 - 44814*c_0101_6^19 - 60567*c_0101_6^18 - 11841*c_0101_6^17 + 66508*c_0101_6^16 + 35340*c_0101_6^15 - 69894*c_0101_6^14 - 30477*c_0101_6^13 + 68656*c_0101_6^12 + 3104*c_0101_6^11 - 49481*c_0101_6^10 + 20167*c_0101_6^9 + 16713*c_0101_6^8 - 17977*c_0101_6^7 + 3164*c_0101_6^6 + 4144*c_0101_6^5 - 3096*c_0101_6^4 + 808*c_0101_6^3 + 24*c_0101_6^2 - 62*c_0101_6 + 11, c_0101_6^24 + 19*c_0101_6^23 + 150*c_0101_6^22 + 619*c_0101_6^21 + 1322*c_0101_6^20 + 924*c_0101_6^19 - 1528*c_0101_6^18 - 2381*c_0101_6^17 + 1774*c_0101_6^16 + 3208*c_0101_6^15 - 2758*c_0101_6^14 - 2565*c_0101_6^13 + 3774*c_0101_6^12 + 257*c_0101_6^11 - 3028*c_0101_6^10 + 1717*c_0101_6^9 + 672*c_0101_6^8 - 1353*c_0101_6^7 + 638*c_0101_6^6 + 77*c_0101_6^5 - 264*c_0101_6^4 + 164*c_0101_6^3 - 56*c_0101_6^2 + 11*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB