Magma V2.19-8 Tue Aug 20 2013 23:46:18 on localhost [Seed = 4240086773] Type ? for help. Type -D to quit. Loading file "K14n15857__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n15857 geometric_solution 10.41215961 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 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 0 0 0 -1 0 1 16 0 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.105864213452 0.466191068330 0 5 7 6 0132 0132 0132 0132 0 0 0 0 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 0 0 0 0 0 0 -16 0 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.928493652647 0.607823507609 8 0 7 6 0132 0132 3120 3120 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 1 -1 0 -17 0 17 0 0 0 0 0 -17 0 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.118651579446 1.024822796273 9 6 10 0 0132 3120 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.103698656128 1.312791204877 11 6 0 8 0132 1302 0132 1023 0 0 0 0 0 1 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 -16 -1 17 0 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.034325791615 1.092448008348 9 1 7 11 2103 0132 2103 2103 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 16 -16 0 0 -17 17 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.635708259304 0.485031037163 2 3 1 4 3120 3120 0132 2031 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 0 0 0 0 0 -16 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443484605018 0.712049740916 5 10 2 1 2103 3120 3120 0132 0 0 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 0 0 0 0 0 17 -17 0 17 0 -17 0 -16 16 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727055204211 1.326528553594 2 9 10 4 0132 2103 1023 1023 0 0 0 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 -16 0 16 17 0 0 -17 17 -17 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414630565113 0.789495593107 3 8 5 11 0132 2103 2103 1302 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 17 0 -17 0 0 0 0 0 16 0 -16 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.299659374551 0.327116444177 11 7 8 3 1302 3120 1023 0132 0 0 0 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 16 -16 0 0 16 -17 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.101519256655 0.859505839764 4 10 9 5 0132 2031 2031 2103 0 0 0 0 0 1 -1 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 -16 16 0 0 0 17 -17 0 -16 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785181965143 0.539819747463 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_3']), 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : d['c_0101_8'], 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : 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' : negation(d['c_0011_11']), '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_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_0']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_0011_7'], 'c_1010_0' : d['c_0101_8'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_0101_11'], 'c_1100_8' : negation(d['c_1100_0']), '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_11']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], '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'], 's_1_11' : d['1'], '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_1100_9' : d['c_0101_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0101_11']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_8']})} 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_10, c_0011_11, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 348017/61250*c_0101_3^2 + 669791/30625*c_0101_3 + 16154793/61250, c_0011_0 - 1, c_0011_10 + 2/25*c_0101_3^2 - 13/25*c_0101_3 + 18/25, c_0011_11 + 1/25*c_0101_3^2 + 1/25*c_0101_3 + 19/25, c_0011_6 + 1/25*c_0101_3^2 + 1/25*c_0101_3 + 44/25, c_0011_7 + 2/5*c_0101_3 - 4/5, c_0101_0 + 1/5*c_0101_3 + 3/5, c_0101_1 - 1/25*c_0101_3^2 - 1/25*c_0101_3 + 6/25, c_0101_11 + 1/25*c_0101_3^2 - 4/25*c_0101_3 - 21/25, c_0101_2 + 1/25*c_0101_3^2 + 1/25*c_0101_3 - 6/25, c_0101_3^3 + 4*c_0101_3^2 + 47*c_0101_3 + 7, c_0101_8 + 1, c_1100_0 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 47664691/60497360*c_1100_0^5 + 15462497/5185488*c_1100_0^4 + 41469445/9074604*c_1100_0^3 - 276755659/9074604*c_1100_0^2 + 270825367/16499280*c_1100_0 - 14885342191/181492080, c_0011_0 - 1, c_0011_10 - 1/140*c_1100_0^5 + 1/16*c_1100_0^4 + 1/28*c_1100_0^3 - 1/56*c_1100_0^2 + 27/70*c_1100_0 - 653/560, c_0011_11 + 3/560*c_1100_0^5 - 5/56*c_1100_0^3 - 1/7*c_1100_0^2 + 363/560*c_1100_0 - 29/35, c_0011_6 - 3/70*c_1100_0^5 + 3/16*c_1100_0^4 + 3/14*c_1100_0^3 - 111/56*c_1100_0^2 + 46/35*c_1100_0 - 1503/560, c_0011_7 - 1/80*c_1100_0^5 + 1/16*c_1100_0^4 + 1/8*c_1100_0^3 - 5/8*c_1100_0^2 - 21/80*c_1100_0 - 87/80, c_0101_0 + 3/560*c_1100_0^5 - 5/56*c_1100_0^3 + 3/28*c_1100_0^2 + 363/560*c_1100_0 + 59/140, c_0101_1 + 3/560*c_1100_0^5 - 5/56*c_1100_0^3 - 1/7*c_1100_0^2 + 363/560*c_1100_0 + 6/35, c_0101_11 + 1/4*c_1100_0^2 + 1/4, c_0101_2 + 1/70*c_1100_0^5 - 1/16*c_1100_0^4 - 1/14*c_1100_0^3 + 37/56*c_1100_0^2 + 8/35*c_1100_0 + 501/560, c_0101_3 + 1/16*c_1100_0^4 + 3/8*c_1100_0^2 + 5/16, c_0101_8 + 1/35*c_1100_0^5 - 1/8*c_1100_0^4 - 1/7*c_1100_0^3 + 37/28*c_1100_0^2 - 19/35*c_1100_0 + 501/280, c_1100_0^6 - 4*c_1100_0^5 - 5*c_1100_0^4 + 40*c_1100_0^3 - 29*c_1100_0^2 + 108*c_1100_0 - 23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.200 Total time: 2.410 seconds, Total memory usage: 64.12MB