Magma V2.19-8 Tue Aug 20 2013 17:56:52 on localhost [Seed = 2118109796] Type ? for help. Type -D to quit. Loading file "11_175__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_175 geometric_solution 11.16702414 oriented_manifold CS_known 0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521552126643 1.163197047894 0 4 5 0 0132 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521552126643 1.163197047894 6 0 5 7 0132 0132 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 -1 0 1 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 0.024590674152 0.595654622565 8 9 8 0 0132 0132 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 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 0.592036345697 0.609978764297 10 1 5 11 0132 0132 0213 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 0.556147009037 0.325212636105 6 4 2 1 3120 0213 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 -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 0.547570349501 1.062936958277 2 10 8 5 0132 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528768098186 1.560008934884 11 11 2 8 3201 2103 0132 0213 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 1 -1 0 -1 0 1 0 4 -3 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.180664532813 0.844166476352 3 6 3 7 0132 0213 3120 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 -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 0.592036345697 0.609978764297 11 3 10 10 0321 0132 0321 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.201588655221 1.098526315474 4 6 9 9 0132 0132 0321 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.755149756270 0.613073625196 9 7 4 7 0321 2103 0132 2310 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 3 1 -4 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 0.757580804560 1.132719050208 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : negation(d['c_0011_5']), 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : d['c_0011_7'], 'c_1001_0' : d['c_0011_11'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : negation(d['c_1001_3']), 'c_1010_11' : d['c_0101_3'], 'c_1010_10' : negation(d['c_1001_3']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], '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_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_3']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_7'], 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0101_5']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0011_7'], 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_0011_11'], 'c_1010_2' : d['c_0011_11'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0101_5']), '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'], '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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_0011_3'], 'c_0110_10' : d['c_0011_5'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0101_3']), 'c_0011_10' : negation(d['c_0011_0'])})} 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_11, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 800331688253/348242950*c_1001_3^5 - 3499058263583/348242950*c_1001_3^4 - 3137836732389/174121475*c_1001_3^3 - 5672850473353/348242950*c_1001_3^2 - 1351755104472/174121475*c_1001_3 - 286183771932/174121475, c_0011_0 - 1, c_0011_11 + 11233274/34824295*c_1001_3^5 + 1835165/6964859*c_1001_3^4 - 14437941/34824295*c_1001_3^3 - 1147973/6964859*c_1001_3^2 + 34740022/34824295*c_1001_3 - 1674856/6964859, c_0011_3 + 11233274/34824295*c_1001_3^5 + 1835165/6964859*c_1001_3^4 - 14437941/34824295*c_1001_3^3 - 1147973/6964859*c_1001_3^2 - 84273/34824295*c_1001_3 - 1674856/6964859, c_0011_5 - 27074639/34824295*c_1001_3^5 - 7992385/6964859*c_1001_3^4 + 9679491/34824295*c_1001_3^3 + 1806634/6964859*c_1001_3^2 - 44263522/34824295*c_1001_3 - 2973376/6964859, c_0011_7 - 42213929/34824295*c_1001_3^5 - 19483406/6964859*c_1001_3^4 - 38615914/34824295*c_1001_3^3 + 4984086/6964859*c_1001_3^2 - 57405802/34824295*c_1001_3 - 9587561/6964859, c_0101_0 - 35279537/34824295*c_1001_3^5 - 15776958/6964859*c_1001_3^4 - 45656837/34824295*c_1001_3^3 + 1916848/6964859*c_1001_3^2 - 40799166/34824295*c_1001_3 - 7423568/6964859, c_0101_1 - 10531199/34824295*c_1001_3^5 - 7168966/6964859*c_1001_3^4 - 29099014/34824295*c_1001_3^3 + 3666764/6964859*c_1001_3^2 - 3534507/34824295*c_1001_3 - 7255956/6964859, c_0101_10 - 6625183/34824295*c_1001_3^5 + 2486890/6964859*c_1001_3^4 + 33634332/34824295*c_1001_3^3 + 1637285/6964859*c_1001_3^2 - 25132249/34824295*c_1001_3 + 7997944/6964859, c_0101_3 + 35279537/34824295*c_1001_3^5 + 15776958/6964859*c_1001_3^4 + 45656837/34824295*c_1001_3^3 - 1916848/6964859*c_1001_3^2 + 40799166/34824295*c_1001_3 + 7423568/6964859, c_0101_5 + 11233274/34824295*c_1001_3^5 + 1835165/6964859*c_1001_3^4 - 14437941/34824295*c_1001_3^3 - 1147973/6964859*c_1001_3^2 + 34740022/34824295*c_1001_3 - 1674856/6964859, c_1001_2 + 37605838/34824295*c_1001_3^5 + 15161351/6964859*c_1001_3^4 + 19419523/34824295*c_1001_3^3 - 5473398/6964859*c_1001_3^2 + 47798029/34824295*c_1001_3 + 10229332/6964859, c_1001_3^6 + 92/37*c_1001_3^5 + 67/37*c_1001_3^4 + 2/37*c_1001_3^3 + 36/37*c_1001_3^2 + 46/37*c_1001_3 + 25/37 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.370 Total time: 1.580 seconds, Total memory usage: 64.12MB