Magma V2.19-8 Mon Sep 9 2013 19:31:38 on localhost [Seed = 2314568119] Type ? for help. Type -D to quit. Loading file "10^3_31__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_31 geometric_solution 15.04564847 oriented_manifold CS_known 0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 16 1 2 3 4 0132 0132 0132 0132 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 0 -1 1 1 0 0 -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 1.000000000000 1.000000000000 0 5 7 6 0132 0132 0132 0132 1 0 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 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 0.411548718811 0.790943454207 3 0 5 4 1023 0132 0132 0213 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 0 0 1 0 -1 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000000 1.000000000000 8 2 4 0 0132 1023 2103 0132 1 0 0 2 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 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 0.500000000000 0.500000000000 3 7 0 2 2103 0132 0132 0213 1 0 1 2 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 1 -1 0 0 0 1 -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 1.000000000000 1.000000000000 8 1 9 2 1023 0132 0132 0132 1 1 2 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 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 0.482305144884 0.994942611202 8 10 1 11 2103 0132 0132 0132 1 0 1 0 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.242707453196 0.959731880493 8 4 9 1 3120 0132 0321 0132 1 0 2 1 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 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 0.411548718811 0.790943454207 3 5 6 7 0132 1023 2103 3120 1 0 2 0 0 1 -1 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605485739623 0.813839646000 10 12 7 5 0321 0132 0321 0132 1 1 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 -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 0.506693467760 0.642142692014 9 6 13 12 0321 0132 0132 0132 1 0 0 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 0 1 -1 -1 0 0 1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148371139626 1.274996873329 13 14 6 12 0132 0132 0132 0213 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686889362363 0.551744530201 15 9 10 11 0132 0132 0132 0213 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 -1 1 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 0.511184787380 0.481854744158 11 14 15 10 0132 0321 0321 0132 1 0 1 0 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 1 -1 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 1.435262916223 0.988766529552 15 11 15 13 3201 0132 0213 0321 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 0 0 0 0 0 0 0 0 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 0.813260110562 0.623881657755 12 14 13 14 0132 0213 0321 2310 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 0 0 0 0 -1 1 -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 0.813260110562 0.623881657755 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_10'], 'c_1001_15' : d['c_1001_14'], 'c_1001_14' : d['c_1001_14'], 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_13' : negation(d['c_0011_11']), 'c_1001_12' : d['c_1001_12'], 's_0_10' : d['1'], 'c_1001_5' : d['c_1001_12'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_12'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0110_2'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_13' : d['c_1001_10'], 'c_1010_12' : d['c_1001_9'], 'c_1010_11' : d['c_1001_14'], 'c_1010_10' : d['c_1001_12'], 'c_1010_15' : negation(d['c_0011_11']), 'c_1010_14' : d['c_1001_10'], 's_3_11' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_0_15' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_0101_15' : negation(d['c_0101_13']), 'c_0101_14' : negation(d['c_0011_12']), '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' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_2_14' : d['1'], 's_2_15' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_15' : negation(d['c_0011_12']), 'c_0011_14' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_7'], 'c_1100_4' : d['c_0110_2'], 'c_1100_7' : d['c_1001_9'], 'c_1100_6' : d['c_1001_9'], 'c_1100_1' : d['c_1001_9'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_1001_7'], 'c_1100_15' : negation(d['c_0011_11']), 'c_1100_14' : negation(d['c_0011_11']), 'c_1100_11' : d['c_1001_9'], 'c_1100_10' : d['c_1001_14'], 'c_1100_13' : d['c_1001_14'], 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_1'], 's_3_12' : negation(d['1']), 'c_1010_3' : d['c_0110_2'], 'c_1010_2' : d['c_0110_2'], 'c_1010_1' : d['c_1001_12'], 'c_1010_0' : d['c_1001_1'], 's_3_15' : d['1'], 'c_1010_9' : d['c_1001_12'], 's_3_14' : d['1'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_14'], 's_1_7' : negation(d['1']), 's_1_6' : 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' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_13'], 'c_0110_10' : d['c_0011_12'], 'c_0110_13' : d['c_0101_10'], 'c_0110_12' : negation(d['c_0101_13']), 'c_0110_15' : d['c_0011_12'], 'c_0110_14' : d['c_0011_11'], 'c_1010_4' : d['c_1001_7'], 'c_0101_12' : d['c_0011_12'], 'c_0110_0' : d['c_0101_1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 'c_1010_8' : d['c_0011_4'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_0'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_7'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0110_2']), 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0101_10']), 'c_0101_13' : d['c_0101_13']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_13, c_0110_2, c_1001_1, c_1001_10, c_1001_12, c_1001_14, c_1001_7, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 529528194432/6994170625*c_1001_9^11 + 3559612202256/6994170625*c_1001_9^10 - 2250497757472/1398834125*c_1001_9^9 + 23707420767536/6994170625*c_1001_9^8 - 38635093143072/6994170625*c_1001_9^7 + 50106254479824/6994170625*c_1001_9^6 - 50859386608664/6994170625*c_1001_9^5 + 40096301541536/6994170625*c_1001_9^4 - 1824262832264/538013125*c_1001_9^3 + 1848989007309/1398834125*c_1001_9^2 - 84896306884/304094375*c_1001_9 + 282396239919/6994170625, c_0011_0 - 1, c_0011_10 - c_1001_9, c_0011_11 - 341792/66217*c_1001_9^11 + 2973920/66217*c_1001_9^10 - 10838784/66217*c_1001_9^9 + 24655296/66217*c_1001_9^8 - 42371984/66217*c_1001_9^7 + 57974376/66217*c_1001_9^6 - 61970644/66217*c_1001_9^5 + 51294744/66217*c_1001_9^4 - 32042880/66217*c_1001_9^3 + 13127836/66217*c_1001_9^2 - 117339/2879*c_1001_9 + 401256/66217, c_0011_12 + 3532864/66217*c_1001_9^11 - 23430544/66217*c_1001_9^10 + 73811168/66217*c_1001_9^9 - 156267568/66217*c_1001_9^8 + 256128512/66217*c_1001_9^7 - 333502244/66217*c_1001_9^6 + 340902360/66217*c_1001_9^5 - 271769596/66217*c_1001_9^4 + 162336692/66217*c_1001_9^3 - 63968709/66217*c_1001_9^2 + 608428/2879*c_1001_9 - 2028942/66217, c_0011_4 - 5876928/66217*c_1001_9^11 + 38626208/66217*c_1001_9^10 - 121116192/66217*c_1001_9^9 + 255961456/66217*c_1001_9^8 - 419022576/66217*c_1001_9^7 + 544917040/66217*c_1001_9^6 - 556634112/66217*c_1001_9^5 + 443672100/66217*c_1001_9^4 - 264992464/66217*c_1001_9^3 + 104669674/66217*c_1001_9^2 - 1006042/2879*c_1001_9 + 3354448/66217, c_0101_0 - 1, c_0101_1 + 5876928/66217*c_1001_9^11 - 38626208/66217*c_1001_9^10 + 121116192/66217*c_1001_9^9 - 255961456/66217*c_1001_9^8 + 419022576/66217*c_1001_9^7 - 544917040/66217*c_1001_9^6 + 556634112/66217*c_1001_9^5 - 443672100/66217*c_1001_9^4 + 264992464/66217*c_1001_9^3 - 104669674/66217*c_1001_9^2 + 1006042/2879*c_1001_9 - 3288231/66217, c_0101_10 + 2512288/66217*c_1001_9^11 - 16565440/66217*c_1001_9^10 + 51938096/66217*c_1001_9^9 - 109585856/66217*c_1001_9^8 + 179122880/66217*c_1001_9^7 - 232511504/66217*c_1001_9^6 + 236787132/66217*c_1001_9^5 - 187934264/66217*c_1001_9^4 + 111511342/66217*c_1001_9^3 - 43356888/66217*c_1001_9^2 + 400073/2879*c_1001_9 - 1236902/66217, c_0101_13 + 1262496/66217*c_1001_9^11 - 8599360/66217*c_1001_9^10 + 27498912/66217*c_1001_9^9 - 58581560/66217*c_1001_9^8 + 96384744/66217*c_1001_9^7 - 126001504/66217*c_1001_9^6 + 129108176/66217*c_1001_9^5 - 102944816/66217*c_1001_9^4 + 61411292/66217*c_1001_9^3 - 23946930/66217*c_1001_9^2 + 216296/2879*c_1001_9 - 711263/66217, c_0110_2 - 1, c_1001_1 + 5876928/66217*c_1001_9^11 - 38626208/66217*c_1001_9^10 + 121116192/66217*c_1001_9^9 - 255961456/66217*c_1001_9^8 + 419022576/66217*c_1001_9^7 - 544917040/66217*c_1001_9^6 + 556634112/66217*c_1001_9^5 - 443672100/66217*c_1001_9^4 + 264992464/66217*c_1001_9^3 - 104669674/66217*c_1001_9^2 + 1006042/2879*c_1001_9 - 3222014/66217, c_1001_10 + 5024576/66217*c_1001_9^11 - 33130880/66217*c_1001_9^10 + 103876192/66217*c_1001_9^9 - 219171712/66217*c_1001_9^8 + 358245760/66217*c_1001_9^7 - 465023008/66217*c_1001_9^6 + 473574264/66217*c_1001_9^5 - 375868528/66217*c_1001_9^4 + 223022684/66217*c_1001_9^3 - 86846210/66217*c_1001_9^2 + 805904/2879*c_1001_9 - 2606238/66217, c_1001_12 - 2512288/66217*c_1001_9^11 + 16565440/66217*c_1001_9^10 - 51938096/66217*c_1001_9^9 + 109585856/66217*c_1001_9^8 - 179122880/66217*c_1001_9^7 + 232511504/66217*c_1001_9^6 - 236787132/66217*c_1001_9^5 + 187934264/66217*c_1001_9^4 - 111511342/66217*c_1001_9^3 + 43356888/66217*c_1001_9^2 - 400073/2879*c_1001_9 + 1236902/66217, c_1001_14 + 2425568/66217*c_1001_9^11 - 15642464/66217*c_1001_9^10 + 48235520/66217*c_1001_9^9 - 100689184/66217*c_1001_9^8 + 163223176/66217*c_1001_9^7 - 209911960/66217*c_1001_9^6 + 211582432/66217*c_1001_9^5 - 166115976/66217*c_1001_9^4 + 97127006/66217*c_1001_9^3 - 36981988/66217*c_1001_9^2 + 339635/2879*c_1001_9 - 1144022/66217, c_1001_7 + 11753856/66217*c_1001_9^11 - 77252416/66217*c_1001_9^10 + 242232384/66217*c_1001_9^9 - 511922912/66217*c_1001_9^8 + 838045152/66217*c_1001_9^7 - 1089834080/66217*c_1001_9^6 + 1113268224/66217*c_1001_9^5 - 887344200/66217*c_1001_9^4 + 529984928/66217*c_1001_9^3 - 209339348/66217*c_1001_9^2 + 2012084/2879*c_1001_9 - 6576462/66217, c_1001_9^12 - 8*c_1001_9^11 + 30*c_1001_9^10 - 73*c_1001_9^9 + 267/2*c_1001_9^8 - 389/2*c_1001_9^7 + 227*c_1001_9^6 - 421/2*c_1001_9^5 + 2441/16*c_1001_9^4 - 655/8*c_1001_9^3 + 233/8*c_1001_9^2 - 97/16*c_1001_9 + 25/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.520 Total time: 0.730 seconds, Total memory usage: 32.09MB