Magma V2.19-8 Wed Aug 21 2013 00:58:41 on localhost [Seed = 745158488] Type ? for help. Type -D to quit. Loading file "L13n5939__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5939 geometric_solution 12.94243511 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 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 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 0.449259212427 0.846790103006 0 0 5 4 0132 1302 0132 0132 0 0 0 1 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 0 0 0 0 0 0 4 -4 0 0 -3 3 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511083455629 0.921538567306 6 0 6 7 0132 0132 3012 0132 0 0 0 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 -1 4 -3 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 0.498114962737 0.769911252459 8 8 9 0 0132 1302 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.650080757257 0.893924147574 10 11 1 12 0132 0132 0132 0132 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 0 0 0 0 -4 4 0 3 0 -3 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 0.581268821817 0.591275130329 9 9 7 1 0321 3120 2103 0132 0 0 1 0 0 -1 0 1 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 0 0 0 4 0 -4 -3 0 0 3 6 -5 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538234669887 0.703732652044 2 2 11 8 0132 1230 3120 0321 0 0 1 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 -1 1 1 0 0 -1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594191549261 0.911513047661 5 10 2 12 2103 1230 0132 0321 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 0 0 -3 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 0.516931307240 0.983490434060 3 6 10 3 0132 0321 0132 2031 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 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379709809450 0.970028870311 5 5 11 3 0321 3120 2031 0132 0 0 1 0 0 0 0 0 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 0 0 0 0 0 0 -6 5 0 1 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538234669887 0.703732652044 4 11 7 8 0132 2031 3012 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 -3 0 3 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 0.513096227798 0.633186669981 10 4 6 9 1302 0132 3120 1302 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 0 0 4 -4 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 0.489490151285 0.598036634819 12 7 4 12 3012 0321 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.860090792094 0.989367511242 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_3'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_1001_11']), 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_0011_10'], 's_0_10' : negation(d['1']), 's_3_10' : 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_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(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_1001_4']), 'c_1100_8' : negation(d['c_1001_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_12'], 'c_1100_4' : d['c_0011_12'], 'c_1100_7' : d['c_1001_11'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_12'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : d['c_1001_11'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_5']), 'c_1100_10' : negation(d['c_1001_0']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_1001_11'], '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' : negation(d['c_0011_5']), 'c_1010_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' : d['c_0011_12'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(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_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), '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_7'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0011_12'], 'c_0101_12' : d['c_0101_10'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_9']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_5']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_5']), 'c_0110_8' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_9']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_12']), 'c_0011_10' : d['c_0011_10']})} 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_0011_3, c_0011_5, c_0011_7, c_0011_9, c_0101_0, c_0101_10, c_0101_5, c_1001_0, c_1001_11, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 6553925/1492*c_1001_4^7 - 33835755/1492*c_1001_4^6 + 74153817/1492*c_1001_4^5 - 21872815/373*c_1001_4^4 + 32136273/746*c_1001_4^3 - 24531229/1492*c_1001_4^2 + 1344387/746*c_1001_4 + 71377/373, c_0011_0 - 1, c_0011_10 - 8625/746*c_1001_4^7 + 90175/1492*c_1001_4^6 - 100255/746*c_1001_4^5 + 120049/746*c_1001_4^4 - 176751/1492*c_1001_4^3 + 33139/746*c_1001_4^2 - 4419/1492*c_1001_4 - 2301/1492, c_0011_12 + 5575/1492*c_1001_4^7 - 30995/1492*c_1001_4^6 + 18367/373*c_1001_4^5 - 94037/1492*c_1001_4^4 + 71919/1492*c_1001_4^3 - 26865/1492*c_1001_4^2 - 829/746*c_1001_4 + 2873/1492, c_0011_3 + 10475/746*c_1001_4^7 - 28805/373*c_1001_4^6 + 264833/1492*c_1001_4^5 - 321287/1492*c_1001_4^4 + 230731/1492*c_1001_4^3 - 21282/373*c_1001_4^2 - 263/373*c_1001_4 + 3067/1492, c_0011_5 - 14425/1492*c_1001_4^7 + 82205/1492*c_1001_4^6 - 98451/746*c_1001_4^5 + 251391/1492*c_1001_4^4 - 189803/1492*c_1001_4^3 + 76781/1492*c_1001_4^2 - 1071/373*c_1001_4 - 2195/1492, c_0011_7 + 9425/746*c_1001_4^7 - 98485/1492*c_1001_4^6 + 53931/373*c_1001_4^5 - 62375/373*c_1001_4^4 + 173399/1492*c_1001_4^3 - 29049/746*c_1001_4^2 - 951/1492*c_1001_4 + 2229/1492, c_0011_9 - 875/373*c_1001_4^7 + 21675/1492*c_1001_4^6 - 14090/373*c_1001_4^5 + 19747/373*c_1001_4^4 - 65589/1492*c_1001_4^3 + 15065/746*c_1001_4^2 - 1075/1492*c_1001_4 - 3013/1492, c_0101_0 - 1, c_0101_10 - 18675/1492*c_1001_4^7 + 51265/746*c_1001_4^6 - 119881/746*c_1001_4^5 + 304037/1492*c_1001_4^4 - 118005/746*c_1001_4^3 + 99673/1492*c_1001_4^2 - 11211/1492*c_1001_4 - 1235/746, c_0101_5 + 750/373*c_1001_4^7 - 6625/746*c_1001_4^6 + 22465/1492*c_1001_4^5 - 16603/1492*c_1001_4^4 + 4905/1492*c_1001_4^3 + 1270/373*c_1001_4^2 - 2097/746*c_1001_4 + 611/1492, c_1001_0 + 4925/1492*c_1001_4^7 - 24705/1492*c_1001_4^6 + 52717/1492*c_1001_4^5 - 30247/746*c_1001_4^4 + 11070/373*c_1001_4^3 - 16527/1492*c_1001_4^2 + 763/746*c_1001_4 - 137/373, c_1001_11 + 7925/746*c_1001_4^7 - 85235/1492*c_1001_4^6 + 193259/1492*c_1001_4^5 - 232897/1492*c_1001_4^4 + 84247/746*c_1001_4^3 - 31589/746*c_1001_4^2 + 3243/1492*c_1001_4 + 809/746, c_1001_4^8 - 28/5*c_1001_4^7 + 336/25*c_1001_4^6 - 442/25*c_1001_4^5 + 361/25*c_1001_4^4 - 34/5*c_1001_4^3 + 31/25*c_1001_4^2 + 2/25*c_1001_4 - 1/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.480 seconds, Total memory usage: 32.09MB