Magma V2.19-8 Wed Aug 21 2013 00:56:29 on localhost [Seed = 3583234022] Type ? for help. Type -D to quit. Loading file "L13n2483__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2483 geometric_solution 12.36221152 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 3201 1 1 1 1 0 0 0 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 -1 0 1 -1 0 0 1 -1 0 0 1 -15 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.175619831080 0.835666641023 0 0 5 4 0132 2310 0132 0132 1 1 1 1 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 -1 1 0 1 0 0 -1 15 -1 0 -14 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.759154700092 1.146034485643 6 0 5 7 0132 0132 3012 0132 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 0 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 0 0 0 0 0 0 0 0 0 0 0.374549457075 0.578686849387 4 8 6 0 0321 0132 2310 0132 1 1 1 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 0 0 0 14 0 -14 0 0 15 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.374549457075 0.578686849387 3 6 1 7 0321 1230 0132 1230 1 1 1 1 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 1 -1 0 14 0 -14 -14 0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.861422803984 0.797015933660 6 2 8 1 3012 1230 1230 0132 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 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 0 0 0 0.861422803984 0.797015933660 2 3 4 5 0132 3201 3012 1230 1 1 1 1 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 0 0 0 0 0 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.759154700092 1.146034485643 4 9 2 10 3012 0132 0132 0132 1 1 1 1 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 1 -1 0 0 0 0 1 0 0 -1 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734960620834 1.079502071494 11 3 12 5 0132 0132 0132 3012 1 1 1 1 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 0 0 0 0 0 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734960620834 1.079502071494 11 7 11 12 1023 0132 2031 0321 1 0 1 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 0 0 0 2 0 -1 -1 0 14 0 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431167679743 1.023751027562 11 12 7 12 2103 2031 0132 0132 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 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431167679743 1.023751027562 8 9 10 9 0132 1023 2103 1302 0 1 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 0 0 0 -2 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 0.431167679743 1.023751027562 10 9 10 8 1302 0321 0132 0132 1 1 1 0 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 0 0 0 0 0 0 1 0 0 -1 1 14 0 -15 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431167679743 1.023751027562 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : negation(d['c_0101_8']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(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_1100_9' : d['c_0011_12'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : negation(d['c_1001_5']), 'c_1100_6' : d['c_0101_1'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_1001_5']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_1001_5']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : negation(d['c_0101_5']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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'], 'c_1100_12' : negation(d['c_1001_5']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : 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_11'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0011_5'], '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_8'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0101_8'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_0'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : d['c_0101_10'], 'c_1100_8' : negation(d['c_1001_5'])})} 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_12, c_0011_4, c_0011_5, c_0101_1, c_0101_10, c_0101_5, c_0101_6, c_0101_8, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 492/7*c_1001_5^3 - 3503/28*c_1001_5^2 - 13005/28*c_1001_5 - 8947/28, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - c_1001_5, c_0011_12 - 1, c_0011_4 + 1/2*c_1001_5^3 + 1/2*c_1001_5^2 + 5/2*c_1001_5, c_0011_5 + 1/2*c_1001_5^3 + 1/2*c_1001_5^2 + 5/2*c_1001_5, c_0101_1 + 1, c_0101_10 - c_1001_5^3 - c_1001_5^2 - 6*c_1001_5 - 2, c_0101_5 - c_1001_5^3 - 3/2*c_1001_5^2 - 13/2*c_1001_5 - 5/2, c_0101_6 + c_1001_5^3 + 3/2*c_1001_5^2 + 13/2*c_1001_5 + 5/2, c_0101_8 + c_1001_5^3 + c_1001_5^2 + 7*c_1001_5 + 2, c_1001_0 + c_1001_5^3 + c_1001_5^2 + 6*c_1001_5 + 2, c_1001_5^4 + 2*c_1001_5^3 + 7*c_1001_5^2 + 6*c_1001_5 + 1 ], 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_12, c_0011_4, c_0011_5, c_0101_1, c_0101_10, c_0101_5, c_0101_6, c_0101_8, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 198189583/2390220800*c_1001_5^6 + 283406867/1195110400*c_1001_5^5 + 366291681/2390220800*c_1001_5^4 + 293073303/108646400*c_1001_5^3 + 16808529767/2390220800*c_1001_5^2 + 399978649/119511040*c_1001_5 + 2142554109/298777600, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - c_1001_5, c_0011_12 + 1, c_0011_4 + 277/93368*c_1001_5^6 + 521/46684*c_1001_5^5 + 2907/93368*c_1001_5^4 + 419/4244*c_1001_5^3 + 46017/93368*c_1001_5^2 + 7283/11671*c_1001_5 - 3908/11671, c_0011_5 + 277/93368*c_1001_5^6 + 521/46684*c_1001_5^5 + 2907/93368*c_1001_5^4 + 419/4244*c_1001_5^3 + 46017/93368*c_1001_5^2 + 7283/11671*c_1001_5 - 3908/11671, c_0101_1 + 1, c_0101_10 + 1273/93368*c_1001_5^6 + 709/46684*c_1001_5^5 + 551/93368*c_1001_5^4 + 1397/4244*c_1001_5^3 + 27945/93368*c_1001_5^2 - 8605/23342*c_1001_5 - 5699/11671, c_0101_5 - 249/93368*c_1001_5^6 - 47/46684*c_1001_5^5 + 589/93368*c_1001_5^4 - 775/4244*c_1001_5^3 - 7153/93368*c_1001_5^2 + 2875/23342*c_1001_5 - 14141/11671, c_0101_6 + 249/93368*c_1001_5^6 + 47/46684*c_1001_5^5 - 589/93368*c_1001_5^4 + 775/4244*c_1001_5^3 + 7153/93368*c_1001_5^2 - 2875/23342*c_1001_5 + 14141/11671, c_0101_8 + 1273/93368*c_1001_5^6 + 709/46684*c_1001_5^5 + 551/93368*c_1001_5^4 + 1397/4244*c_1001_5^3 + 27945/93368*c_1001_5^2 + 14737/23342*c_1001_5 - 5699/11671, c_1001_0 - 1273/93368*c_1001_5^6 - 709/46684*c_1001_5^5 - 551/93368*c_1001_5^4 - 1397/4244*c_1001_5^3 - 27945/93368*c_1001_5^2 + 8605/23342*c_1001_5 + 5699/11671, c_1001_5^7 + 2*c_1001_5^6 - c_1001_5^5 + 30*c_1001_5^4 + 57*c_1001_5^3 - 44*c_1001_5^2 + 24*c_1001_5 - 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB