Magma V2.19-8 Tue Aug 20 2013 23:47:41 on localhost [Seed = 88305494] Type ? for help. Type -D to quit. Loading file "L11a451__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a451 geometric_solution 11.23977460 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 3 0132 0132 0132 0321 0 1 2 2 0 0 0 0 0 0 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 -1 0 1 1 0 -1 0 -1 2 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.597837429985 0.699887268235 0 4 6 5 0132 0132 0132 0132 1 1 2 2 0 0 1 -1 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 0 -2 2 -1 0 1 0 1 1 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.874475709881 0.732668744689 7 0 5 5 0132 0132 2103 2031 0 1 2 2 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 1 0 -1 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.597837429985 0.699887268235 7 0 5 0 3120 0321 2031 0132 0 1 2 1 0 0 0 0 -1 0 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 -1 1 0 1 0 -2 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 0.294380438682 0.826067627108 8 1 7 9 0132 0132 1023 0132 1 1 2 2 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 -1 1 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.814499629912 0.798011384867 2 2 1 3 2103 1302 0132 1302 1 1 0 2 0 0 1 -1 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 -2 2 0 0 0 0 0 1 0 -1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.597837429985 0.699887268235 7 10 9 1 1023 0132 0132 0132 1 1 2 2 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 -2 0 2 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 0.814499629912 0.798011384867 2 6 4 3 0132 1023 1023 3120 1 1 2 2 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 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 0.874475709881 0.732668744689 4 11 10 9 0132 0132 2031 3120 2 1 2 2 0 0 0 0 0 0 0 0 0 0 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 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 0.738942635024 0.415286274295 8 10 4 6 3120 0213 0132 0132 1 1 2 2 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 1 -1 0 1 0 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.027551205463 0.696914795170 11 6 9 8 0132 0132 0213 1302 1 2 2 2 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 -1 -1 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 0.738942635024 0.415286274295 10 8 11 11 0132 0132 2031 1302 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.808607132235 0.537071868050 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_3']), 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : d['c_0011_5'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : d['c_0101_8'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_9'], 's_2_0' : negation(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' : 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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_0'], 'c_1100_8' : negation(d['c_0101_8']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0101_3'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_0110_5']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : d['c_0101_8'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0110_5'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_0011_5'], 'c_1010_9' : d['c_0101_8'], 'c_1010_8' : negation(d['c_0011_9']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], '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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], '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_9'], 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_0'], '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_3, c_0011_5, c_0011_9, c_0101_0, c_0101_11, c_0101_3, c_0101_4, c_0101_7, c_0101_8, c_0110_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 17539858006016/21228673347*c_1001_1^7 + 20468018888704/21228673347*c_1001_1^6 - 9722540081152/7076224449*c_1001_1^5 - 57533009920/2358741483*c_1001_1^4 - 13671425196032/21228673347*c_1001_1^3 + 3489513859072/21228673347*c_1001_1^2 - 18075302704640/21228673347*c_1001_1 + 111377599232/7076224449, c_0011_0 - 1, c_0011_3 + 1472/8973*c_1001_1^7 + 20384/8973*c_1001_1^6 + 64/2991*c_1001_1^5 + 2040/997*c_1001_1^4 + 6584/8973*c_1001_1^3 + 15704/8973*c_1001_1^2 - 8530/8973*c_1001_1 - 3007/5982, c_0011_5 - 1, c_0011_9 + 346880/20937*c_1001_1^7 - 23680/20937*c_1001_1^6 + 81664/6979*c_1001_1^5 + 24544/6979*c_1001_1^4 + 169952/20937*c_1001_1^3 - 73180/20937*c_1001_1^2 + 20906/20937*c_1001_1 - 11205/6979, c_0101_0 - 1, c_0101_11 - 661760/62811*c_1001_1^7 + 124288/62811*c_1001_1^6 - 207712/20937*c_1001_1^5 - 28656/6979*c_1001_1^4 - 419408/62811*c_1001_1^3 + 166804/62811*c_1001_1^2 - 45446/62811*c_1001_1 + 22973/20937, c_0101_3 + 1472/8973*c_1001_1^7 + 20384/8973*c_1001_1^6 + 64/2991*c_1001_1^5 + 2040/997*c_1001_1^4 + 6584/8973*c_1001_1^3 + 15704/8973*c_1001_1^2 - 8087/17946*c_1001_1 - 8/2991, c_0101_4 - c_1001_1, c_0101_7 + 1472/8973*c_1001_1^7 + 20384/8973*c_1001_1^6 + 64/2991*c_1001_1^5 + 2040/997*c_1001_1^4 + 6584/8973*c_1001_1^3 + 15704/8973*c_1001_1^2 - 8530/8973*c_1001_1 - 3007/5982, c_0101_8 + 43712/8973*c_1001_1^7 + 18560/8973*c_1001_1^6 + 12304/2991*c_1001_1^5 + 3360/997*c_1001_1^4 + 39464/8973*c_1001_1^3 - 1816/8973*c_1001_1^2 + 671/8973*c_1001_1 - 1538/2991, c_0110_5 + 1472/8973*c_1001_1^7 + 20384/8973*c_1001_1^6 + 64/2991*c_1001_1^5 + 2040/997*c_1001_1^4 + 6584/8973*c_1001_1^3 + 15704/8973*c_1001_1^2 - 8530/8973*c_1001_1 + 2975/5982, c_1001_1^8 - 1/2*c_1001_1^7 + 3/4*c_1001_1^6 + 7/16*c_1001_1^4 - 1/2*c_1001_1^3 + 5/32*c_1001_1^2 - 3/32*c_1001_1 + 9/256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB