Magma V2.19-8 Tue Aug 20 2013 23:52:40 on localhost [Seed = 2463430980] Type ? for help. Type -D to quit. Loading file "L13n315__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n315 geometric_solution 11.38178609 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 1 1 0 1 0 0 0 0 -1 0 1 0 2 -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 0 -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 0.394514260377 0.813839646000 0 4 4 5 0132 0132 1302 0132 1 1 1 0 0 0 0 0 1 0 0 -1 0 0 0 0 -2 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517694855116 0.994942611202 0 0 4 5 3012 0132 0132 2031 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -2 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588451281189 0.790943454207 6 7 4 0 0132 0132 0321 0132 1 1 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 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 0.757292546804 0.959731880493 1 1 3 2 2031 0132 0321 0132 1 1 0 1 0 0 0 0 0 0 0 0 -2 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588451281189 0.790943454207 7 2 1 6 2103 1302 0132 2103 1 1 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 0 0 0 0 0 0 0 0 0 1 0 -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 0.247662640178 0.979326049759 3 8 9 5 0132 0132 0132 2103 1 1 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 0 0 0 0 0 0 0 0 0 0 1 -1 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 0.637741742150 0.542346751722 9 3 5 8 0132 0132 2103 0132 1 1 1 1 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637741742150 0.542346751722 10 6 7 11 0132 0132 0132 0132 1 1 1 1 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.262891334218 1.075676926876 7 11 10 6 0132 0132 0132 0132 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.262891334218 1.075676926876 8 11 11 9 0132 1023 0132 0132 1 1 1 1 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 1 0 -1 0 0 -1 1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.186739889438 0.623881657755 10 9 8 10 1023 0132 0132 0132 1 1 1 1 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 -1 0 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 0.186739889438 0.623881657755 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0101_10'], 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : d['c_0110_2'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_1001_11'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_1001_3'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_0101_10'], '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_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : 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' : negation(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' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : negation(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_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_1001_3'], 'c_1100_7' : negation(d['c_0110_5']), 'c_1100_6' : negation(d['c_0110_5']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_5']), 'c_1100_10' : negation(d['c_0110_5']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_1001_3']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_1001_11'], 'c_1100_8' : negation(d['c_0110_5']), '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' : negation(d['1']), 's_3_8' : d['1'], '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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : 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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_8'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_8'], 'c_0110_6' : d['c_0101_3']})} 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_5, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_8, c_0110_2, c_0110_5, c_1001_11, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1389130835371643/428496174640000*c_1001_11^11 + 741240763543809/428496174640000*c_1001_11^10 + 1731445072691803/428496174640000*c_1001_11^9 + 532572112952043/85699234928000*c_1001_11^8 - 50014212310947/21424808732000*c_1001_11^7 - 206524085789689/21424808732000*c_1001_11^6 - 91126800013903/5356202183000*c_1001_11^5 - 1357125369766429/53562021830000*c_1001_11^4 - 3297916233640169/107124043660000*c_1001_11^3 - 3013699988739829/107124043660000*c_1001_11^2 - 1467360401440413/107124043660000*c_1001_11 - 197361083334249/107124043660000, c_0011_0 - 1, c_0011_10 - 97529156907/171398469856*c_1001_11^11 + 27232757799/171398469856*c_1001_11^10 + 167263413943/171398469856*c_1001_11^9 + 149120872405/171398469856*c_1001_11^8 + 6155953019/42849617464*c_1001_11^7 - 78253715367/42849617464*c_1001_11^6 - 82188701403/21424808732*c_1001_11^5 - 25443499397/5356202183*c_1001_11^4 - 258214778377/42849617464*c_1001_11^3 - 252843863967/42849617464*c_1001_11^2 - 108645956709/42849617464*c_1001_11 + 16973677945/42849617464, c_0011_5 - 68671558085/171398469856*c_1001_11^11 + 145000761667/171398469856*c_1001_11^10 - 5153168107/171398469856*c_1001_11^9 - 27777224491/171398469856*c_1001_11^8 - 24682855419/42849617464*c_1001_11^7 - 40982367569/42849617464*c_1001_11^6 - 3723981849/10712404366*c_1001_11^5 - 611664559/21424808732*c_1001_11^4 - 9731524259/42849617464*c_1001_11^3 + 11008221173/42849617464*c_1001_11^2 + 108139644405/42849617464*c_1001_11 + 36897820277/42849617464, c_0101_0 - 1, c_0101_10 - 81611631127/171398469856*c_1001_11^11 + 79107153737/171398469856*c_1001_11^10 + 91166355031/171398469856*c_1001_11^9 + 72319283951/171398469856*c_1001_11^8 - 11841907881/42849617464*c_1001_11^7 - 64340485779/42849617464*c_1001_11^6 - 23465091673/10712404366*c_1001_11^5 - 50599727093/21424808732*c_1001_11^4 - 116656772073/42849617464*c_1001_11^3 - 86419737121/42849617464*c_1001_11^2 - 15768110097/42849617464*c_1001_11 + 37567189919/42849617464, c_0101_2 - 2019667/2084024*c_1001_11^11 + 808953/1042012*c_1001_11^10 + 1969561/2084024*c_1001_11^9 + 726569/521006*c_1001_11^8 - 232801/521006*c_1001_11^7 - 1264455/521006*c_1001_11^6 - 1431445/260503*c_1001_11^5 - 3357561/521006*c_1001_11^4 - 3882689/521006*c_1001_11^3 - 1899818/260503*c_1001_11^2 - 1267603/521006*c_1001_11 + 143694/260503, c_0101_3 + 68671558085/171398469856*c_1001_11^11 - 145000761667/171398469856*c_1001_11^10 + 5153168107/171398469856*c_1001_11^9 + 27777224491/171398469856*c_1001_11^8 + 24682855419/42849617464*c_1001_11^7 + 40982367569/42849617464*c_1001_11^6 + 3723981849/10712404366*c_1001_11^5 + 611664559/21424808732*c_1001_11^4 + 9731524259/42849617464*c_1001_11^3 - 11008221173/42849617464*c_1001_11^2 - 108139644405/42849617464*c_1001_11 - 36897820277/42849617464, c_0101_8 - c_1001_11, c_0110_2 - 234777050833/171398469856*c_1001_11^11 + 278063822731/171398469856*c_1001_11^10 + 156831406777/171398469856*c_1001_11^9 + 211246538853/171398469856*c_1001_11^8 - 43829340863/42849617464*c_1001_11^7 - 144976204589/42849617464*c_1001_11^6 - 62587863139/10712404366*c_1001_11^5 - 138681288001/21424808732*c_1001_11^4 - 329059398375/42849617464*c_1001_11^3 - 301489042011/42849617464*c_1001_11^2 + 3886903273/42849617464*c_1001_11 + 60533758949/42849617464, c_0110_5 - 97529156907/171398469856*c_1001_11^11 + 27232757799/171398469856*c_1001_11^10 + 167263413943/171398469856*c_1001_11^9 + 149120872405/171398469856*c_1001_11^8 + 6155953019/42849617464*c_1001_11^7 - 78253715367/42849617464*c_1001_11^6 - 82188701403/21424808732*c_1001_11^5 - 25443499397/5356202183*c_1001_11^4 - 258214778377/42849617464*c_1001_11^3 - 252843863967/42849617464*c_1001_11^2 - 108645956709/42849617464*c_1001_11 + 16973677945/42849617464, c_1001_11^12 - 12/13*c_1001_11^11 - 14/13*c_1001_11^10 - 12/13*c_1001_11^9 + 5/13*c_1001_11^8 + 40/13*c_1001_11^7 + 60/13*c_1001_11^6 + 72/13*c_1001_11^5 + 84/13*c_1001_11^4 + 80/13*c_1001_11^3 + 16/13*c_1001_11^2 - 16/13*c_1001_11 + 4/13, c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB