Magma V2.19-8 Wed Aug 21 2013 01:02:12 on localhost [Seed = 3499543401] Type ? for help. Type -D to quit. Loading file "L14n1411__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1411 geometric_solution 11.47162836 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 3 0132 0132 0132 2031 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 0 0 0 0 0 0 0 0 0 0 1 0 -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 0.431135518994 0.351577584254 0 4 6 5 0132 0132 0132 0132 1 1 1 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 -2 2 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 0.834535932268 0.406594548460 7 0 7 3 0132 0132 3012 1302 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 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 0.703155168508 1.137728962012 8 0 2 0 0132 1302 2031 0132 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 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 0 0 0 0 1.175788792127 0.784432240503 8 1 9 10 1023 0132 0132 0132 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 2 -2 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 0.764928111227 0.266859878910 11 11 1 10 0132 1230 0132 1023 1 1 0 1 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 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 0.250000000000 0.661437827766 7 12 8 1 2310 0132 0132 0132 1 1 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 0 0 0 0 2 -2 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 0.781140900551 1.097554999091 2 2 6 9 0132 1230 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0.214709131741 0.822924207109 3 4 9 6 0132 1023 1023 0132 1 1 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 0 0 0 0 0 0 0 1 1 -2 -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 0.977672524386 0.568307120699 7 11 8 4 3201 1302 1023 0132 1 1 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 0 0 0 0 0 0 0 -1 -1 2 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 -0.500000000000 1.322875655532 12 12 4 5 3012 0213 0132 1023 1 1 0 1 0 0 0 0 0 0 1 -1 3 -2 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560303031848 0.669233384185 5 12 5 9 0132 2031 3012 2031 1 1 1 0 0 0 0 0 0 0 1 -1 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 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 0.500000000000 1.322875655532 11 6 10 10 1302 0132 0213 1230 1 0 1 1 0 0 0 0 1 0 2 -3 0 0 0 0 0 0 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 0.560303031848 0.669233384185 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_1'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0101_0'], 'c_1001_8' : negation(d['c_0101_2']), 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0101_11'], 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_10'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : 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' : negation(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' : negation(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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_1100_1']), 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1100_1']), 'c_1100_11' : negation(d['c_1001_4']), 'c_1100_10' : negation(d['c_1100_1']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : d['c_1100_1'], 's_3_1' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_11'], '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' : d['c_0011_12'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0011_10'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_2']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : negation(d['1']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_2']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['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_12, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_1001_0, c_1001_1, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2713803593/24364852549120*c_1100_1^7 + 12196059407/12182426274560*c_1100_1^6 - 1470902873/420083664640*c_1100_1^5 + 182997925167/24364852549120*c_1100_1^4 - 527705969289/48729705098240*c_1100_1^3 + 18590752691/3045606568640*c_1100_1^2 + 965840921/1218242627456*c_1100_1 + 11056942739/3045606568640, c_0011_0 - 1, c_0011_10 - 1, c_0011_12 + 960/22591*c_1100_1^7 - 1036/22591*c_1100_1^6 + 510/22591*c_1100_1^5 + 1780/22591*c_1100_1^4 - 17952/22591*c_1100_1^3 + 7680/22591*c_1100_1^2 - 43545/22591*c_1100_1 + 16896/22591, c_0101_0 - 4431/180728*c_1100_1^7 + 9027/90364*c_1100_1^6 - 23415/90364*c_1100_1^5 + 63793/180728*c_1100_1^4 - 159591/361456*c_1100_1^3 + 50049/90364*c_1100_1^2 - 37911/45182*c_1100_1 + 39952/22591, c_0101_1 - 5901/180728*c_1100_1^7 + 3514/22591*c_1100_1^6 - 34395/90364*c_1100_1^5 + 159903/180728*c_1100_1^4 - 375705/361456*c_1100_1^3 + 201293/180728*c_1100_1^2 - 43713/22591*c_1100_1 + 14127/22591, c_0101_10 - 4259/180728*c_1100_1^7 + 2563/22591*c_1100_1^6 - 30429/90364*c_1100_1^5 + 99881/180728*c_1100_1^4 - 328679/361456*c_1100_1^3 + 169247/180728*c_1100_1^2 - 25049/22591*c_1100_1 + 53885/22591, c_0101_11 - 43/45182*c_1100_1^7 - 1225/90364*c_1100_1^6 + 3507/45182*c_1100_1^5 - 4511/22591*c_1100_1^4 + 10568/22591*c_1100_1^3 - 69149/180728*c_1100_1^2 + 12187/45182*c_1100_1 - 13933/22591, c_0101_2 - 4431/180728*c_1100_1^7 + 9027/90364*c_1100_1^6 - 23415/90364*c_1100_1^5 + 63793/180728*c_1100_1^4 - 159591/361456*c_1100_1^3 + 50049/90364*c_1100_1^2 - 37911/45182*c_1100_1 + 39952/22591, c_0101_3 + 777/9512*c_1100_1^7 - 845/2378*c_1100_1^6 + 4275/4756*c_1100_1^5 - 15131/9512*c_1100_1^4 + 36573/19024*c_1100_1^3 - 21131/9512*c_1100_1^2 + 4296/1189*c_1100_1 - 4949/1189, c_1001_0 + 12393/361456*c_1100_1^7 - 35067/180728*c_1100_1^6 + 91185/180728*c_1100_1^5 - 390719/361456*c_1100_1^4 + 1054617/722912*c_1100_1^3 - 133351/90364*c_1100_1^2 + 64077/22591*c_1100_1 - 60918/22591, c_1001_1 - 27049/180728*c_1100_1^7 + 31277/45182*c_1100_1^6 - 162851/90364*c_1100_1^5 + 604515/180728*c_1100_1^4 - 1283613/361456*c_1100_1^3 + 619475/180728*c_1100_1^2 - 126948/22591*c_1100_1 + 139293/22591, c_1001_4 + 27221/180728*c_1100_1^7 - 61329/90364*c_1100_1^6 + 155837/90364*c_1100_1^5 - 568427/180728*c_1100_1^4 + 1114525/361456*c_1100_1^3 - 275163/90364*c_1100_1^2 + 241709/45182*c_1100_1 - 125360/22591, c_1100_1^8 - 6*c_1100_1^7 + 18*c_1100_1^6 - 39*c_1100_1^5 + 113/2*c_1100_1^4 - 60*c_1100_1^3 + 80*c_1100_1^2 - 96*c_1100_1 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.410 seconds, Total memory usage: 32.09MB