Magma V2.19-8 Wed Aug 21 2013 01:07:49 on localhost [Seed = 3280329446] Type ? for help. Type -D to quit. Loading file "L14n35169__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n35169 geometric_solution 11.82554880 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 0 0 1 0 -1 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 -5 -1 6 -1 0 0 1 -1 6 0 -5 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546899114971 1.998612955495 0 4 6 5 0132 1023 0132 0132 1 1 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 1 0 5 -6 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.368709572577 0.797517498107 7 0 9 8 0132 0132 0132 0132 0 1 0 1 0 -1 1 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 5 -5 0 0 0 0 0 0 5 0 -5 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.368931057301 0.940753706531 8 9 6 0 3201 3201 3012 0132 0 1 0 1 0 1 -1 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 -6 5 1 0 0 0 0 0 5 0 -5 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.011401589650 0.527166128275 1 7 0 10 1023 0132 0132 0132 0 1 0 1 0 -1 1 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 6 -6 0 1 0 -1 0 0 6 0 -6 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.102332358221 0.679163170161 11 7 1 9 0132 1230 0132 1230 1 1 0 0 0 0 0 0 0 0 -1 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 0 -1 1 0 0 6 -6 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538509742228 0.463379831690 8 3 10 1 0213 1230 1230 0132 1 1 1 0 0 0 0 0 0 0 -1 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 0 5 -5 0 -1 0 1 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575165773716 0.839950816861 2 4 5 10 0132 0132 3012 3120 0 1 1 0 0 1 0 -1 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 -6 0 6 0 0 0 0 0 5 0 -5 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269407068514 0.744139579221 6 11 2 3 0213 2310 0132 2310 0 1 1 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 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 -0.041007878906 1.896048306940 5 12 3 2 3012 0132 2310 0132 0 1 1 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 0 -5 5 -1 0 1 0 6 0 0 -6 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.361297682209 0.921289023987 7 12 4 6 3120 1230 0132 3012 0 1 1 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 0 0 0 0 0 0 0 5 0 0 -5 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.849562561758 1.164181832679 5 12 12 8 0132 2310 1302 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278049522688 1.031397509883 11 9 10 11 2031 0132 3012 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.225864069524 1.363423318366 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_12'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0110_12'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : negation(d['c_0110_12']), 'c_1001_8' : d['c_0110_12'], 'c_1010_12' : negation(d['c_0110_12']), 'c_1010_11' : negation(d['c_0110_12']), 'c_1010_10' : negation(d['c_0011_8']), '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' : negation(d['c_0011_12']), '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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_1001_6']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_1001_6']), 'c_1100_3' : negation(d['c_1001_6']), 'c_1100_2' : d['c_0011_3'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_3'], 'c_1100_11' : negation(d['c_0011_8']), 'c_1100_10' : negation(d['c_1001_6']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_0110_12'], 'c_1010_2' : d['c_0110_12'], 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : negation(d['c_0011_10']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0101_0']), 'c_1100_8' : d['c_0011_3'], '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' : negation(d['c_0011_11']), '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_12']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], '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_0'], 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : negation(d['c_0011_8']), 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : d['c_0011_6'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(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_6'], 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} 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_12, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0110_12, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 161882066322827/26038809018720*c_1001_6^7 + 8679167172077/1531694648160*c_1001_6^6 + 8971437701879/1531694648160*c_1001_6^5 - 80640817180499/13019404509360*c_1001_6^4 + 905898633425927/26038809018720*c_1001_6^3 + 259688999634773/4339801503120*c_1001_6^2 + 58400602800043/813712781835*c_1001_6 + 3741753423607/1531694648160, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 7574747537/18082506263*c_1001_6^7 + 4850775659/18082506263*c_1001_6^6 + 318384719/1063676839*c_1001_6^5 - 6417088393/18082506263*c_1001_6^4 + 44355547146/18082506263*c_1001_6^3 + 55082862182/18082506263*c_1001_6^2 + 61905439399/18082506263*c_1001_6 - 1619685703/18082506263, c_0011_12 + 12105957274/18082506263*c_1001_6^7 + 8455481876/18082506263*c_1001_6^6 + 437821395/1063676839*c_1001_6^5 - 7767121728/18082506263*c_1001_6^4 + 68558480227/18082506263*c_1001_6^3 + 110029283852/18082506263*c_1001_6^2 + 103123754011/18082506263*c_1001_6 - 6129242021/18082506263, c_0011_3 - 5697254899/18082506263*c_1001_6^7 - 4090192564/18082506263*c_1001_6^6 - 393911177/1063676839*c_1001_6^5 + 13179581913/18082506263*c_1001_6^4 - 34150716330/18082506263*c_1001_6^3 - 43707584249/18082506263*c_1001_6^2 - 61216511878/18082506263*c_1001_6 + 21964399421/18082506263, c_0011_6 - 476085318/18082506263*c_1001_6^7 - 2640221848/18082506263*c_1001_6^6 - 85491402/1063676839*c_1001_6^5 - 3495775981/18082506263*c_1001_6^4 - 312371444/18082506263*c_1001_6^3 - 12733431911/18082506263*c_1001_6^2 - 20886528638/18082506263*c_1001_6 - 14204785623/18082506263, c_0011_8 + 9069710971/18082506263*c_1001_6^7 + 8408514930/18082506263*c_1001_6^6 + 334227030/1063676839*c_1001_6^5 - 8240549734/18082506263*c_1001_6^4 + 45722418140/18082506263*c_1001_6^3 + 89572945928/18082506263*c_1001_6^2 + 83305787896/18082506263*c_1001_6 - 697280554/18082506263, c_0101_0 + 96166999/1063676839*c_1001_6^7 + 113329747/1063676839*c_1001_6^6 + 264612225/1063676839*c_1001_6^5 - 164311149/1063676839*c_1001_6^4 + 761388395/1063676839*c_1001_6^3 + 1283205406/1063676839*c_1001_6^2 + 1290180057/1063676839*c_1001_6 + 382977453/1063676839, c_0101_1 - 1, c_0101_10 - 7574747537/18082506263*c_1001_6^7 - 4850775659/18082506263*c_1001_6^6 - 318384719/1063676839*c_1001_6^5 + 6417088393/18082506263*c_1001_6^4 - 44355547146/18082506263*c_1001_6^3 - 55082862182/18082506263*c_1001_6^2 - 79987945662/18082506263*c_1001_6 + 1619685703/18082506263, c_0101_2 + 9209586520/18082506263*c_1001_6^7 + 6777381358/18082506263*c_1001_6^6 + 582996944/1063676839*c_1001_6^5 - 9210377926/18082506263*c_1001_6^4 + 57299149861/18082506263*c_1001_6^3 + 76897354084/18082506263*c_1001_6^2 + 101921006631/18082506263*c_1001_6 + 4890930998/18082506263, c_0110_12 - 96166999/1063676839*c_1001_6^7 - 113329747/1063676839*c_1001_6^6 - 264612225/1063676839*c_1001_6^5 + 164311149/1063676839*c_1001_6^4 - 761388395/1063676839*c_1001_6^3 - 1283205406/1063676839*c_1001_6^2 - 2353856896/1063676839*c_1001_6 - 382977453/1063676839, c_1001_6^8 + 13/19*c_1001_6^7 + 15/19*c_1001_6^6 - 22/19*c_1001_6^5 + 111/19*c_1001_6^4 + 158/19*c_1001_6^3 + 184/19*c_1001_6^2 - 33/19*c_1001_6 + 8/19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.330 seconds, Total memory usage: 32.09MB