Magma V2.19-8 Tue Aug 20 2013 23:42:36 on localhost [Seed = 1629946880] Type ? for help. Type -D to quit. Loading file "L13n4451__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4451 geometric_solution 9.27292053 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 1 0 0 0 -1 1 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 4 -3 -1 -1 0 1 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689875511809 0.510160237591 0 5 6 4 0132 0132 0132 2103 1 1 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 -1 7 -6 1 0 -1 0 -4 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.076331362132 1.087663593955 7 0 8 7 0132 0132 0132 1023 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 -4 0 4 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 0 0 0.956646462551 0.444980986395 9 8 9 0 0132 1023 3120 0132 0 1 0 1 0 0 1 -1 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 -3 3 0 0 1 -1 3 -3 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544764141206 0.701268868694 10 8 0 1 0132 0132 0132 2103 0 1 1 0 0 0 0 0 0 0 0 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 0 1 -1 0 0 0 0 -6 0 0 6 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355889756155 0.345205426863 6 1 10 10 0132 0132 0132 0321 1 1 0 0 0 0 0 0 1 0 0 -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 1 -1 0 -6 0 0 6 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486391906952 0.685960056955 5 8 9 1 0132 3201 0213 0132 1 1 0 0 0 -1 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 0 7 0 -7 6 0 -7 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 0.424842456735 0.449737074290 2 7 7 2 0132 1230 3012 1023 0 0 0 0 0 1 -1 0 0 0 -1 1 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 -4 4 0 0 0 4 -4 0 -4 0 4 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.531210492897 0.376252341240 3 4 6 2 1023 0132 2310 0132 0 0 0 1 0 0 0 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 0 0 0 0 0 0 0 3 -3 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.569643761741 0.877456940049 3 6 3 10 0132 0213 3120 3012 1 1 1 0 0 0 0 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 0 0 0 0 0 -1 1 -7 7 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544764141206 0.701268868694 4 5 9 5 0132 0321 1230 0132 1 1 0 1 0 0 0 0 0 0 0 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 0 -1 1 0 0 0 0 3 0 0 -3 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312149160936 0.970078231148 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_3'], 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_8'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_8']), 'c_1001_8' : negation(d['c_1001_1']), 'c_1010_10' : d['c_1001_1'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_3']), 'c_1100_8' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : d['c_0011_0'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0011_0']), 'c_1100_10' : d['c_0101_3'], 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_1001_1']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : 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' : negation(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_10']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], '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' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], '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_0101_7'], 'c_0110_5' : negation(d['c_0011_10']), '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 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_7, c_0101_8, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 8131803/46888712*c_1001_2^10 - 106661495/46888712*c_1001_2^9 - 636129101/46888712*c_1001_2^8 - 2239817017/46888712*c_1001_2^7 - 643433171/5861089*c_1001_2^6 - 4384286981/23444356*c_1001_2^5 - 108182769/450853*c_1001_2^4 - 5272449043/23444356*c_1001_2^3 - 877986540/5861089*c_1001_2^2 - 381186392/5861089*c_1001_2 - 59543086/5861089, c_0011_0 - 1, c_0011_10 - 21225/277448*c_1001_2^10 - 25514/34681*c_1001_2^9 - 1002837/277448*c_1001_2^8 - 1459103/138724*c_1001_2^7 - 1552459/69362*c_1001_2^6 - 2543139/69362*c_1001_2^5 - 1592254/34681*c_1001_2^4 - 1579712/34681*c_1001_2^3 - 1185221/34681*c_1001_2^2 - 614089/34681*c_1001_2 - 210806/34681, c_0101_0 - 1, c_0101_1 + 5097/277448*c_1001_2^10 + 17405/138724*c_1001_2^9 + 103579/277448*c_1001_2^8 + 21169/138724*c_1001_2^7 - 79813/69362*c_1001_2^6 - 253523/69362*c_1001_2^5 - 483083/69362*c_1001_2^4 - 560253/69362*c_1001_2^3 - 225222/34681*c_1001_2^2 - 140916/34681*c_1001_2 - 46062/34681, c_0101_10 - 45363/554896*c_1001_2^10 - 224143/277448*c_1001_2^9 - 2265649/554896*c_1001_2^8 - 1714441/138724*c_1001_2^7 - 7573393/277448*c_1001_2^6 - 6435915/138724*c_1001_2^5 - 8413391/138724*c_1001_2^4 - 8549945/138724*c_1001_2^3 - 1614194/34681*c_1001_2^2 - 1679003/69362*c_1001_2 - 486715/69362, c_0101_2 + 341/34681*c_1001_2^10 + 24795/138724*c_1001_2^9 + 179391/138724*c_1001_2^8 + 763609/138724*c_1001_2^7 + 2095767/138724*c_1001_2^6 + 1048241/34681*c_1001_2^5 + 3127113/69362*c_1001_2^4 + 1761752/34681*c_1001_2^3 + 1463434/34681*c_1001_2^2 + 812364/34681*c_1001_2 + 240731/34681, c_0101_3 + 30327/554896*c_1001_2^10 + 138179/277448*c_1001_2^9 + 1288193/554896*c_1001_2^8 + 864427/138724*c_1001_2^7 + 3391193/277448*c_1001_2^6 + 2490863/138724*c_1001_2^5 + 2649727/138724*c_1001_2^4 + 2116715/138724*c_1001_2^3 + 274030/34681*c_1001_2^2 + 125253/69362*c_1001_2 - 16481/69362, c_0101_7 + 4241/69362*c_1001_2^10 + 105115/138724*c_1001_2^9 + 613681/138724*c_1001_2^8 + 2134543/138724*c_1001_2^7 + 4954497/138724*c_1001_2^6 + 2138535/34681*c_1001_2^5 + 2794848/34681*c_1001_2^4 + 5421481/69362*c_1001_2^3 + 1922683/34681*c_1001_2^2 + 901031/34681*c_1001_2 + 195832/34681, c_0101_8 - 13087/277448*c_1001_2^10 - 14542/34681*c_1001_2^9 - 530305/277448*c_1001_2^8 - 695649/138724*c_1001_2^7 - 1384039/138724*c_1001_2^6 - 548368/34681*c_1001_2^5 - 689020/34681*c_1001_2^4 - 1494015/69362*c_1001_2^3 - 628556/34681*c_1001_2^2 - 412415/34681*c_1001_2 - 180368/34681, c_1001_1 + 18553/277448*c_1001_2^10 + 44377/69362*c_1001_2^9 + 869473/277448*c_1001_2^8 + 316796/34681*c_1001_2^7 + 2735269/138724*c_1001_2^6 + 2301445/69362*c_1001_2^5 + 1478240/34681*c_1001_2^4 + 1486878/34681*c_1001_2^3 + 1121270/34681*c_1001_2^2 + 562873/34681*c_1001_2 + 159304/34681, c_1001_2^11 + 11*c_1001_2^10 + 61*c_1001_2^9 + 207*c_1001_2^8 + 502*c_1001_2^7 + 934*c_1001_2^6 + 1352*c_1001_2^5 + 1536*c_1001_2^4 + 1356*c_1001_2^3 + 888*c_1001_2^2 + 400*c_1001_2 + 104 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.250 seconds, Total memory usage: 32.09MB