Magma V2.19-8 Wed Aug 21 2013 01:09:05 on localhost [Seed = 340921709] Type ? for help. Type -D to quit. Loading file "L14n44017__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n44017 geometric_solution 12.42119182 oriented_manifold CS_known 0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1023 0132 1 1 2 2 0 0 0 0 0 0 -1 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 0 1 0 0 1 -1 0 1 0 -1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622750622664 0.802224901718 0 4 6 5 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774091583606 1.465603338839 5 0 0 6 3120 0132 1023 1302 1 1 2 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 1 -1 0 0 0 0 0 -5 5 0 0 6 -1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622750622664 0.802224901718 7 5 0 8 0132 1023 0132 0132 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 -1 1 0 0 1 -1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.841090081360 0.610720470563 4 1 4 5 2031 0132 1302 2031 2 2 2 2 0 0 1 -1 -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 -6 6 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.335787619942 0.401442269542 3 4 1 2 1023 1302 0132 3120 2 1 2 2 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 6 0 -6 0 0 0 0 1 -6 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718226374209 0.533487736466 7 8 2 1 3120 3120 2031 0132 2 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221509880260 0.565266269087 3 9 10 6 0132 0132 0132 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 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 0.806645627559 0.692962171321 11 6 3 12 0132 3120 0132 0132 1 1 2 2 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 -1 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 0.806645627559 0.692962171321 11 7 12 12 1023 0132 0213 1230 1 0 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 1 0 -1 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 0.558515343909 0.693984543944 11 11 12 7 3120 1230 0132 0132 1 1 2 0 0 0 0 0 -1 0 0 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 1 -1 0 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 0.558515343909 0.693984543944 8 9 10 10 0132 1023 3012 3120 0 1 2 2 0 0 -1 1 -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 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 0.558515343909 0.693984543944 9 9 8 10 3012 0213 0132 0132 1 1 0 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 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 0.558515343909 0.693984543944 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : negation(d['c_0011_6']), 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : d['c_0110_4'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : negation(d['c_0110_2']), 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : d['c_0110_2'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0101_11'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(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' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0101_6'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_0110_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : negation(d['c_0011_6']), 'c_1100_8' : negation(d['c_0101_6']), '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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_6']), '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' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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_7'], 'c_0110_10' : d['c_0101_7'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : d['c_0101_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0110_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} 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_11, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_0101_7, c_0110_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 9451783/199092100*c_0110_4^7 + 51096/172225*c_0110_4^6 + 126836487/199092100*c_0110_4^5 + 37442241/199092100*c_0110_4^4 - 145133227/99546050*c_0110_4^3 - 1623964/599675*c_0110_4^2 - 201944901/99546050*c_0110_4 - 124164079/199092100, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + c_0110_4^2 - 1, c_0011_6 + 3/4*c_0110_4^7 + 4*c_0110_4^6 + 6*c_0110_4^5 - 15/4*c_0110_4^4 - 31/2*c_0110_4^3 - 21/4*c_0110_4^2 + 10*c_0110_4 + 6, c_0101_0 - 1, c_0101_1 + 1/4*c_0110_4^7 + 3/2*c_0110_4^6 + 3*c_0110_4^5 + 3/4*c_0110_4^4 - 5*c_0110_4^3 - 23/4*c_0110_4^2 + 3/2*c_0110_4 + 4, c_0101_10 + 3/4*c_0110_4^7 + 4*c_0110_4^6 + 6*c_0110_4^5 - 11/4*c_0110_4^4 - 25/2*c_0110_4^3 - 17/4*c_0110_4^2 + 7*c_0110_4 + 4, c_0101_11 - c_0110_4^6 - 4*c_0110_4^5 - 2*c_0110_4^4 + 9*c_0110_4^3 + 8*c_0110_4^2 - 5*c_0110_4 - 6, c_0101_2 - 1, c_0101_6 + 1/4*c_0110_4^7 + 3/2*c_0110_4^6 + 3*c_0110_4^5 + 3/4*c_0110_4^4 - 5*c_0110_4^3 - 23/4*c_0110_4^2 + 3/2*c_0110_4 + 5, c_0101_7 + 3/4*c_0110_4^7 + 4*c_0110_4^6 + 6*c_0110_4^5 - 15/4*c_0110_4^4 - 31/2*c_0110_4^3 - 21/4*c_0110_4^2 + 10*c_0110_4 + 6, c_0110_2 + 1/4*c_0110_4^7 + 3/2*c_0110_4^6 + 3*c_0110_4^5 + 3/4*c_0110_4^4 - 5*c_0110_4^3 - 23/4*c_0110_4^2 + 3/2*c_0110_4 + 4, c_0110_4^8 + 6*c_0110_4^7 + 12*c_0110_4^6 + 3*c_0110_4^5 - 20*c_0110_4^4 - 23*c_0110_4^3 + 2*c_0110_4^2 + 16*c_0110_4 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB