Magma V2.19-8 Tue Aug 20 2013 23:50:59 on localhost [Seed = 3583229656] Type ? for help. Type -D to quit. Loading file "L13a4960__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a4960 geometric_solution 10.26543227 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1302 0132 0132 0 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 0 0 0 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 0.282894104593 0.687507804199 0 4 5 0 0132 0132 0132 2031 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 0 0 0 0 0 0 -1 1 0 0 0 1 -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 0.726618901925 0.696628167404 6 6 3 0 0132 1230 3012 0132 0 0 1 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 0 0 0 0 0 0 0 4 -3 0 -1 4 -5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665398884751 0.482182993062 7 2 0 5 0132 1230 0132 0132 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 1 -1 5 0 0 -5 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.825147874252 1.703524657218 8 1 8 9 0132 0132 3012 0132 0 0 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 0 0 0 0 0 0 0 1 0 -1 0 0 -4 4 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709225929393 0.660361825809 9 10 3 1 3120 0132 0132 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 0 1 -1 -4 0 5 -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 0.275952898616 0.902090908811 2 8 2 7 0132 1302 3012 3201 0 0 0 1 0 1 -1 0 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5 5 0 0 0 0 0 -4 4 0 0 -4 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.014597764702 0.714074234380 3 6 8 9 0132 2310 3120 3120 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 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.489189855522 0.912842715933 4 4 7 6 0132 1230 3120 2031 0 0 1 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 4 0 -4 0 0 -5 5 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558507150854 1.268396460163 7 10 4 5 3120 1302 0132 3120 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 1 -1 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.101641271521 0.565103067741 11 5 11 9 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.071756749000 1.144318832689 10 10 11 11 0132 3201 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 0.449254887157 0.111919966311 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : d['c_0011_9'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : d['c_0011_9'], 's_0_10' : d['1'], 's_3_10' : 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'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(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_2_11' : d['1'], 's_0_8' : 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_1100_9' : negation(d['c_0101_5']), 'c_1100_8' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : negation(d['c_1001_3']), 'c_1100_3' : negation(d['c_1001_3']), 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_0011_9'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : negation(d['c_0011_2']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_2']), '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_2'], 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_9'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_9']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_8, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 94031543069/459346*c_1001_3^11 - 6297203349747/3904441*c_1001_3^10 + 45718725283457/7808882*c_1001_3^9 - 51452867808503/3904441*c_1001_3^8 + 160786115713927/7808882*c_1001_3^7 - 91612949350703/3904441*c_1001_3^6 + 77991602270262/3904441*c_1001_3^5 - 49565824843486/3904441*c_1001_3^4 + 23062314147902/3904441*c_1001_3^3 - 7443792163387/3904441*c_1001_3^2 + 2942447591065/7808882*c_1001_3 - 131265772872/3904441, c_0011_0 - 1, c_0011_10 + 7412*c_1001_3^11 - 58014*c_1001_3^10 + 209111*c_1001_3^9 - 467260*c_1001_3^8 + 724513*c_1001_3^7 - 818730*c_1001_3^6 + 690534*c_1001_3^5 - 434044*c_1001_3^4 + 199273*c_1001_3^3 - 63184*c_1001_3^2 + 12162*c_1001_3 - 1044, c_0011_2 - 27778*c_1001_3^11 + 217472*c_1001_3^10 - 784254*c_1001_3^9 + 1753741*c_1001_3^8 - 2722131*c_1001_3^7 + 3080501*c_1001_3^6 - 2603097*c_1001_3^5 + 1640383*c_1001_3^4 - 755785*c_1001_3^3 + 240874*c_1001_3^2 - 46777*c_1001_3 + 4078, c_0011_3 + 30362*c_1001_3^11 - 238446*c_1001_3^10 + 862681*c_1001_3^9 - 1935300*c_1001_3^8 + 3013630*c_1001_3^7 - 3421908*c_1001_3^6 + 2901874*c_1001_3^5 - 1835970*c_1001_3^4 + 849721*c_1001_3^3 - 272354*c_1001_3^2 + 53287*c_1001_3 - 4688, c_0011_9 - 13872*c_1001_3^11 + 109276*c_1001_3^10 - 396598*c_1001_3^9 + 892462*c_1001_3^8 - 1394038*c_1001_3^7 + 1588014*c_1001_3^6 - 1351226*c_1001_3^5 + 858114*c_1001_3^4 - 398818*c_1001_3^3 + 128495*c_1001_3^2 - 25308*c_1001_3 + 2244, c_0101_0 + 17*c_1001_3^11 - 123*c_1001_3^10 + 411*c_1001_3^9 - 857*c_1001_3^8 + 1244*c_1001_3^7 - 1316*c_1001_3^6 + 1040*c_1001_3^5 - 608*c_1001_3^4 + 260*c_1001_3^3 - 74*c_1001_3^2 + 14*c_1001_3 - 1, c_0101_1 - 1, c_0101_10 - 2448*c_1001_3^11 + 19514*c_1001_3^10 - 71712*c_1001_3^9 + 163403*c_1001_3^8 - 258492*c_1001_3^7 + 298412*c_1001_3^6 - 257524*c_1001_3^5 + 166163*c_1001_3^4 - 78656*c_1001_3^3 + 25940*c_1001_3^2 - 5280*c_1001_3 + 489, c_0101_11 - 17*c_1001_3^11 + 140*c_1001_3^10 - 534*c_1001_3^9 + 1268*c_1001_3^8 - 2101*c_1001_3^7 + 2560*c_1001_3^6 - 2356*c_1001_3^5 + 1648*c_1001_3^4 - 868*c_1001_3^3 + 334*c_1001_3^2 - 87*c_1001_3 + 12, c_0101_5 + 7786*c_1001_3^11 - 61842*c_1001_3^10 + 226339*c_1001_3^9 - 513494*c_1001_3^8 + 808552*c_1001_3^7 - 928694*c_1001_3^6 + 796976*c_1001_3^5 - 510916*c_1001_3^4 + 239957*c_1001_3^3 - 78324*c_1001_3^2 + 15690*c_1001_3 - 1420, c_0101_8 - 17272*c_1001_3^11 + 134658*c_1001_3^10 - 483504*c_1001_3^9 + 1076577*c_1001_3^8 - 1663862*c_1001_3^7 + 1874460*c_1001_3^6 - 1576546*c_1001_3^5 + 988292*c_1001_3^4 - 452676*c_1001_3^3 + 143210*c_1001_3^2 - 27544*c_1001_3 + 2373, c_1001_3^12 - 140/17*c_1001_3^11 + 534/17*c_1001_3^10 - 1268/17*c_1001_3^9 + 2101/17*c_1001_3^8 - 2560/17*c_1001_3^7 + 2356/17*c_1001_3^6 - 1648/17*c_1001_3^5 + 868/17*c_1001_3^4 - 334/17*c_1001_3^3 + 88/17*c_1001_3^2 - 14/17*c_1001_3 + 1/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB