Magma V2.19-8 Wed Aug 21 2013 00:05:24 on localhost [Seed = 2430008856] Type ? for help. Type -D to quit. Loading file "K13n2060__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2060 geometric_solution 10.95224286 oriented_manifold CS_known -0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 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 -3 0 0 3 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.192122218535 0.834746930713 0 4 4 5 0132 0132 1302 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 0 0 3 0 0 -3 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579870653906 1.262698001345 0 0 7 6 3012 0132 0132 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 1 -1 0 0 0 0 -3 -1 0 4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598663483580 0.618574389486 5 8 6 0 3120 0132 1302 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 0 0 4 0 -4 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 -1.293406294264 1.179050915803 1 1 9 5 2031 0132 0132 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 -1 1 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 0.699651005425 0.654025294438 4 10 1 3 3201 0132 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 0 0 1 0 3 -4 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.296977528250 1.177908635517 3 9 2 8 2031 3012 0132 0213 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 -1 1 0 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524669075704 1.192901680755 11 9 10 2 0132 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 1 0 -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 0.794988306640 1.193666730697 10 3 11 6 2103 0132 3012 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527013822035 1.764878298558 6 7 11 4 1230 0132 1023 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 0 1 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 1.021213526630 1.604707505217 12 5 8 7 0132 0132 2103 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 0.719045782000 0.323617906488 7 8 9 12 0132 1230 1023 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 0.465185720159 0.245099321126 10 12 11 12 0132 1302 0132 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 0.647570675842 0.357614720905 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_4'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_11']), 'c_1001_3' : d['c_0110_6'], 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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' : 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_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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_9']), 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : d['c_0110_6'], 'c_1100_6' : d['c_0110_6'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0110_6'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0110_6'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : negation(d['c_0101_9']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0011_11']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_0110_6'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_10'], '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' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_6'], '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_11' : d['c_0101_12'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : negation(d['c_0110_6']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_6, c_0101_9, c_0110_6, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 64524142371/47327591872*c_1001_4^7 + 927495406523/47327591872*c_1001_4^6 + 2992809972557/23663795936*c_1001_4^5 + 5259165266249/11831897968*c_1001_4^4 + 22160796193617/23663795936*c_1001_4^3 + 2593404588941/2151254176*c_1001_4^2 + 1334975643623/1526696512*c_1001_4 + 6421826832035/23663795936, c_0011_0 - 1, c_0011_10 - 75/367*c_1001_4^7 - 910/367*c_1001_4^6 - 4692/367*c_1001_4^5 - 10950/367*c_1001_4^4 - 9575/367*c_1001_4^3 + 7475/367*c_1001_4^2 + 23980/367*c_1001_4 + 15627/367, c_0011_11 - 1386/367*c_1001_4^7 - 19973/367*c_1001_4^6 - 129104/367*c_1001_4^5 - 454118/367*c_1001_4^4 - 955353/367*c_1001_4^3 - 1226001/367*c_1001_4^2 - 889500/367*c_1001_4 - 278184/367, c_0011_3 - 450/367*c_1001_4^7 - 6194/367*c_1001_4^6 - 38061/367*c_1001_4^5 - 124787/367*c_1001_4^4 - 240950/367*c_1001_4^3 - 277376/367*c_1001_4^2 - 171006/367*c_1001_4 - 40560/367, c_0011_6 + 54/367*c_1001_4^7 + 435/367*c_1001_4^6 + 545/367*c_1001_4^5 - 8264/367*c_1001_4^4 - 40449/367*c_1001_4^3 - 84654/367*c_1001_4^2 - 91106/367*c_1001_4 - 39760/367, c_0101_0 - 1386/367*c_1001_4^7 - 19973/367*c_1001_4^6 - 129104/367*c_1001_4^5 - 454118/367*c_1001_4^4 - 955353/367*c_1001_4^3 - 1226001/367*c_1001_4^2 - 889133/367*c_1001_4 - 277450/367, c_0101_10 + 1, c_0101_11 - 623/367*c_1001_4^7 - 8709/367*c_1001_4^6 - 54521/367*c_1001_4^5 - 183809/367*c_1001_4^4 - 368610/367*c_1001_4^3 - 447059/367*c_1001_4^2 - 300391/367*c_1001_4 - 84094/367, c_0101_12 - 54/367*c_1001_4^7 - 435/367*c_1001_4^6 - 545/367*c_1001_4^5 + 8264/367*c_1001_4^4 + 40449/367*c_1001_4^3 + 84654/367*c_1001_4^2 + 90739/367*c_1001_4 + 40127/367, c_0101_6 + 1782/367*c_1001_4^7 + 25732/367*c_1001_4^6 + 166620/367*c_1001_4^5 + 587169/367*c_1001_4^4 + 1236752/367*c_1001_4^3 + 1588031/367*c_1001_4^2 + 1151612/367*c_1001_4 + 358871/367, c_0101_9 - 623/367*c_1001_4^7 - 8709/367*c_1001_4^6 - 54521/367*c_1001_4^5 - 183809/367*c_1001_4^4 - 368610/367*c_1001_4^3 - 447059/367*c_1001_4^2 - 300391/367*c_1001_4 - 84094/367, c_0110_6 + 742/367*c_1001_4^7 + 10789/367*c_1001_4^6 + 70436/367*c_1001_4^5 + 251095/367*c_1001_4^4 + 536719/367*c_1001_4^3 + 701763/367*c_1001_4^2 + 521983/367*c_1001_4 + 169223/367, c_1001_4^8 + 16*c_1001_4^7 + 116*c_1001_4^6 + 475*c_1001_4^5 + 1206*c_1001_4^4 + 1968*c_1001_4^3 + 2027*c_1001_4^2 + 1201*c_1001_4 + 311 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 26.050 Total time: 26.260 seconds, Total memory usage: 84.62MB