Magma V2.19-8 Tue Aug 20 2013 23:42:06 on localhost [Seed = 576997227] Type ? for help. Type -D to quit. Loading file "L12n822__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n822 geometric_solution 10.76394609 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 0 1 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 -1 1 0 0 0 0 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.797901345064 0.906157850519 0 3 6 5 0132 0213 0132 0132 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 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 0.432879124239 0.849871561095 6 0 8 7 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 0.688515566649 1.004951807758 9 4 1 0 0132 2103 0213 0132 1 1 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 -1 0 1 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 0.432879124239 0.849871561095 8 3 0 10 0132 2103 0132 0132 1 1 1 0 0 1 0 -1 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 1 -1 0 0 0 0 0 -1 1 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688515566649 1.004951807758 9 10 1 7 2103 0321 0132 0213 1 1 1 1 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 -1 0 0 1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.818021428193 1.096782185813 2 9 10 1 0132 0321 3201 0132 1 1 0 1 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.005480791708 0.896332625675 8 10 2 5 2310 3120 0132 0213 1 1 1 1 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 0.524133999602 0.934267692720 4 9 7 2 0132 3120 3201 0132 1 1 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524133999602 0.934267692720 3 8 5 6 0132 3120 2103 0321 1 1 0 1 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 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 0.818021428193 1.096782185813 6 7 4 5 2310 3120 0132 0321 1 1 1 1 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 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 -0.005480791708 0.896332625675 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_1001_0']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : negation(d['c_0011_5']), 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_10']), 'c_1100_8' : negation(d['c_0011_7']), 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : negation(d['c_0011_7']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : negation(d['c_0011_7']), 'c_1100_10' : d['c_1001_5'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : d['c_0011_3'], 's_3_1' : d['1'], 's_3_0' : 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_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_5']), 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_0']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0101_10']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 2384244880551/56974550864*c_1001_5^7 + 15726024886717/25897523120*c_1001_5^6 + 482159463074361/142436377160*c_1001_5^5 + 108980416084181/142436377160*c_1001_5^4 - 2106615755596073/284872754320*c_1001_5^3 - 1126038220535093/284872754320*c_1001_5^2 + 1609041872291319/284872754320*c_1001_5 + 46196264888303/20348053880, c_0011_0 - 1, c_0011_10 + 8213047/173808880*c_1001_5^7 + 118130123/173808880*c_1001_5^6 + 323423249/86904440*c_1001_5^5 + 15554369/86904440*c_1001_5^4 - 1672512997/173808880*c_1001_5^3 - 139708997/34761776*c_1001_5^2 + 1451645059/173808880*c_1001_5 + 38672719/12414920, c_0011_3 + 3483933/69523552*c_1001_5^7 + 51288793/69523552*c_1001_5^6 + 147031235/34761776*c_1001_5^5 + 73454275/34761776*c_1001_5^4 - 460162455/69523552*c_1001_5^3 - 331991603/69523552*c_1001_5^2 + 350003649/69523552*c_1001_5 + 10995261/4965968, c_0011_4 - 362351/10863055*c_1001_5^7 - 5068279/10863055*c_1001_5^6 - 26549289/10863055*c_1001_5^5 + 9054126/10863055*c_1001_5^4 + 71244181/10863055*c_1001_5^3 + 3748431/2172611*c_1001_5^2 - 54742097/10863055*c_1001_5 - 2181629/1551865, c_0011_5 - 493467/9931936*c_1001_5^7 - 7080735/9931936*c_1001_5^6 - 19394773/4965968*c_1001_5^5 - 1448581/4965968*c_1001_5^4 + 88046801/9931936*c_1001_5^3 + 43335573/9931936*c_1001_5^2 - 64325847/9931936*c_1001_5 - 1905483/709424, c_0011_7 - 588185/69523552*c_1001_5^7 - 7967301/69523552*c_1001_5^6 - 19848439/34761776*c_1001_5^5 + 15420281/34761776*c_1001_5^4 + 96338859/69523552*c_1001_5^3 - 8374473/69523552*c_1001_5^2 - 123118125/69523552*c_1001_5 - 3262505/4965968, c_0101_0 - 1, c_0101_1 + 21219687/347617760*c_1001_5^7 + 313464443/347617760*c_1001_5^6 + 896628569/173808880*c_1001_5^5 + 393313049/173808880*c_1001_5^4 - 3895637237/347617760*c_1001_5^3 - 555110229/69523552*c_1001_5^2 + 2643453779/347617760*c_1001_5 + 99629959/24829840, c_0101_10 + 862879/12414920*c_1001_5^7 + 12617891/12414920*c_1001_5^6 + 35566813/6207460*c_1001_5^5 + 11293273/6207460*c_1001_5^4 - 156333269/12414920*c_1001_5^3 - 19526277/2482984*c_1001_5^2 + 116394443/12414920*c_1001_5 + 4140803/886780, c_1001_0 - 3372111/173808880*c_1001_5^7 - 49783379/173808880*c_1001_5^6 - 143444857/86904440*c_1001_5^5 - 79634937/86904440*c_1001_5^4 + 393406221/173808880*c_1001_5^3 + 36524157/34761776*c_1001_5^2 - 215527787/173808880*c_1001_5 - 33367/12414920, c_1001_5^8 + 15*c_1001_5^7 + 88*c_1001_5^6 + 58*c_1001_5^5 - 167*c_1001_5^4 - 181*c_1001_5^3 + 87*c_1001_5^2 + 120*c_1001_5 + 28 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB