Magma V2.19-8 Mon Sep 9 2013 20:34:25 on localhost [Seed = 4136291727] Type ? for help. Type -D to quit. Loading file "10_110__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_110 geometric_solution 14.77746267 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 16 1 2 2 3 0132 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.273746600716 0.868759610085 0 4 5 4 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486962691948 1.002059235453 0 0 7 6 2031 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670057795245 1.047101444929 8 9 0 5 0132 0132 0132 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 1 -1 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 0.443148331806 0.902185017329 1 1 10 11 3012 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.404817460151 0.790685332723 7 3 6 1 0321 2310 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.508857466321 1.302807410678 12 12 2 5 0132 1302 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.745936214949 0.726762149521 5 13 14 2 0321 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587716987598 0.562712796547 3 15 11 13 0132 0132 2310 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.124600905047 0.981633303186 10 3 10 13 1230 0132 3201 0132 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 -1 1 0 8 0 -7 -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 0.723906096117 0.961462161568 9 9 14 4 2310 3012 3120 0132 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 7 -8 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.275918052510 0.960849781362 12 8 4 14 2103 3201 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.205575658195 0.518698555145 6 15 11 6 0132 0321 2103 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428632070037 1.226123449714 8 7 9 15 3012 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.611514178059 0.649059095479 11 15 10 7 3120 3012 3120 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.448138964254 0.211322188056 14 8 13 12 1230 0132 1230 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.014447502358 2.050262524870 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_1001_15' : d['c_0011_10'], 'c_1001_14' : negation(d['c_0011_15']), 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : d['c_0011_15'], 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : negation(d['c_0101_15']), 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : negation(d['c_0101_8']), 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_1001_13'], 'c_1001_2' : d['c_1001_13'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_13' : negation(d['c_0101_15']), 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0101_4'], 'c_1010_15' : negation(d['c_0011_12']), 'c_1010_14' : negation(d['c_0101_15']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 'c_0101_15' : d['c_0101_15'], 'c_0101_14' : d['c_0101_14'], '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : d['1'], 's_0_9' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_15' : d['c_0011_15'], 'c_0011_14' : negation(d['c_0011_12']), 'c_1100_9' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : negation(d['c_0101_14']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : d['c_0101_11'], 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0101_10']), 'c_1100_14' : negation(d['c_0101_10']), 's_0_15' : d['1'], 'c_1100_15' : d['c_0011_11'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_14']), 'c_1100_10' : negation(d['c_0101_14']), 'c_1100_13' : negation(d['c_0011_10']), 's_3_10' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_1001_13'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_8']), 'c_1010_4' : negation(d['c_0101_8']), 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_1001_13'], 's_3_15' : d['1'], 'c_1010_9' : d['c_1001_13'], 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : d['c_0011_11'], 's_3_1' : d['1'], 'c_0101_13' : d['c_0011_10'], 's_3_3' : 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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_5'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_15']), 'c_0011_8' : negation(d['c_0011_15']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_13']), 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_15'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_5']), 'c_0110_10' : d['c_0101_4'], 'c_0110_13' : d['c_0011_11'], 'c_0110_12' : d['c_0101_6'], 'c_0110_15' : negation(d['c_0011_12']), 'c_0110_14' : negation(d['c_0101_5']), 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0011_13'], 's_0_8' : d['1'], 's_2_15' : d['1'], 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_13'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0011_13'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0101_4']), 'c_0101_8' : d['c_0101_8'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0011_13'], 'c_0110_1' : d['c_0011_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_13'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_15, c_0011_5, c_0101_10, c_0101_11, c_0101_14, c_0101_15, c_0101_4, c_0101_5, c_0101_6, c_0101_8, c_1001_13 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 159677949/54626110*c_1001_13^9 - 154209563/4966010*c_1001_13^8 + 588787234/3901865*c_1001_13^7 - 20461059681/54626110*c_1001_13^6 + 12171137827/27313055*c_1001_13^5 - 982150309/7803730*c_1001_13^4 - 1477102923/10925222*c_1001_13^3 + 7309231961/54626110*c_1001_13^2 + 773763591/54626110*c_1001_13 + 214305051/27313055, c_0011_0 - 1, c_0011_10 - 451311/709430*c_1001_13^9 + 4774667/709430*c_1001_13^8 - 23090509/709430*c_1001_13^7 + 56856369/709430*c_1001_13^6 - 33275468/354715*c_1001_13^5 + 17331867/709430*c_1001_13^4 + 2035942/70943*c_1001_13^3 - 9488222/354715*c_1001_13^2 - 1431987/354715*c_1001_13 - 253924/354715, c_0011_11 + 1041349/709430*c_1001_13^9 - 5540534/354715*c_1001_13^8 + 53941771/709430*c_1001_13^7 - 134283441/709430*c_1001_13^6 + 160693779/709430*c_1001_13^5 - 47009233/709430*c_1001_13^4 - 4726555/70943*c_1001_13^3 + 23691173/354715*c_1001_13^2 + 2466658/354715*c_1001_13 + 1370677/709430, c_0011_12 - 907857/709430*c_1001_13^9 + 4771757/354715*c_1001_13^8 - 22889474/354715*c_1001_13^7 + 55498584/354715*c_1001_13^6 - 125032427/709430*c_1001_13^5 + 23292989/709430*c_1001_13^4 + 9091887/141886*c_1001_13^3 - 17581219/354715*c_1001_13^2 - 4528599/354715*c_1001_13 - 883228/354715, c_0011_13 + 253924/354715*c_1001_13^9 - 5529791/709430*c_1001_13^8 + 27627827/709430*c_1001_13^7 - 71843917/709430*c_1001_13^6 + 93929273/709430*c_1001_13^5 - 20579268/354715*c_1001_13^4 - 3541929/141886*c_1001_13^3 + 13734646/354715*c_1001_13^2 - 1362654/354715*c_1001_13 + 91557/354715, c_0011_15 + 8979/11630*c_1001_13^9 - 46674/5815*c_1001_13^8 + 441041/11630*c_1001_13^7 - 518783/5815*c_1001_13^6 + 537297/5815*c_1001_13^5 - 5919/5815*c_1001_13^4 - 108493/2326*c_1001_13^3 + 140883/5815*c_1001_13^2 + 160951/11630*c_1001_13 + 18487/11630, c_0011_5 - 765889/709430*c_1001_13^9 + 8015993/709430*c_1001_13^8 - 19116653/354715*c_1001_13^7 + 91675111/709430*c_1001_13^6 - 100234049/709430*c_1001_13^5 + 6226964/354715*c_1001_13^4 + 4178118/70943*c_1001_13^3 - 13836793/354715*c_1001_13^2 - 10383051/709430*c_1001_13 - 1604747/709430, c_0101_10 - 253429/709430*c_1001_13^9 + 2757823/709430*c_1001_13^8 - 13801621/709430*c_1001_13^7 + 18043883/354715*c_1001_13^6 - 48120479/709430*c_1001_13^5 + 11741449/354715*c_1001_13^4 + 1207785/141886*c_1001_13^3 - 7086658/354715*c_1001_13^2 + 2335049/709430*c_1001_13 - 213051/354715, c_0101_11 + 228234/354715*c_1001_13^9 - 2467708/354715*c_1001_13^8 + 24460077/709430*c_1001_13^7 - 31361541/354715*c_1001_13^6 + 79548813/709430*c_1001_13^5 - 30059881/709430*c_1001_13^4 - 2058030/70943*c_1001_13^3 + 12717356/354715*c_1001_13^2 - 536203/709430*c_1001_13 + 350369/709430, c_0101_14 + 907857/709430*c_1001_13^9 - 4771757/354715*c_1001_13^8 + 22889474/354715*c_1001_13^7 - 55498584/354715*c_1001_13^6 + 125032427/709430*c_1001_13^5 - 23292989/709430*c_1001_13^4 - 9091887/141886*c_1001_13^3 + 17581219/354715*c_1001_13^2 + 4528599/354715*c_1001_13 + 1237943/354715, c_0101_15 - 141846/354715*c_1001_13^9 + 1433337/354715*c_1001_13^8 - 13075173/709430*c_1001_13^7 + 28682753/709430*c_1001_13^6 - 24028667/709430*c_1001_13^5 - 11105901/709430*c_1001_13^4 + 2037635/70943*c_1001_13^3 - 5845943/709430*c_1001_13^2 - 4501904/354715*c_1001_13 - 441943/354715, c_0101_4 - 78792/70943*c_1001_13^9 + 1664649/141886*c_1001_13^8 - 4014015/70943*c_1001_13^7 + 19639135/141886*c_1001_13^6 - 11257330/70943*c_1001_13^5 + 4705267/141886*c_1001_13^4 + 8245325/141886*c_1001_13^3 - 3320903/70943*c_1001_13^2 - 1453673/141886*c_1001_13 - 188915/141886, c_0101_5 - 228234/354715*c_1001_13^9 + 2467708/354715*c_1001_13^8 - 24460077/709430*c_1001_13^7 + 31361541/354715*c_1001_13^6 - 79548813/709430*c_1001_13^5 + 30059881/709430*c_1001_13^4 + 2058030/70943*c_1001_13^3 - 12717356/354715*c_1001_13^2 + 536203/709430*c_1001_13 + 359061/709430, c_0101_6 - 16121/709430*c_1001_13^9 + 158317/709430*c_1001_13^8 - 347967/354715*c_1001_13^7 + 708327/354715*c_1001_13^6 - 471898/354715*c_1001_13^5 - 652433/709430*c_1001_13^4 - 43753/141886*c_1001_13^3 + 826438/354715*c_1001_13^2 - 355492/354715*c_1001_13 - 593113/709430, c_0101_8 - 79154/70943*c_1001_13^9 + 1679293/141886*c_1001_13^8 - 4070300/70943*c_1001_13^7 + 10052667/70943*c_1001_13^6 - 11795794/70943*c_1001_13^5 + 6010527/141886*c_1001_13^4 + 7617199/141886*c_1001_13^3 - 6663047/141886*c_1001_13^2 - 627850/70943*c_1001_13 - 177643/70943, c_1001_13^10 - 10*c_1001_13^9 + 45*c_1001_13^8 - 96*c_1001_13^7 + 73*c_1001_13^6 + 50*c_1001_13^5 - 69*c_1001_13^4 + 14*c_1001_13^3 + 32*c_1001_13^2 + 6*c_1001_13 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 314.920 Total time: 315.139 seconds, Total memory usage: 2014.38MB