Magma V2.19-8 Tue Aug 20 2013 17:56:10 on localhost [Seed = 4088546363] Type ? for help. Type -D to quit. Loading file "11_15__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_15 geometric_solution 10.31750456 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 -1 1 0 0 0 0 10 -10 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.682915429590 0.926863978053 0 5 7 6 0132 0132 0132 0132 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 1 0 -1 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400971451357 1.155665693930 3 0 6 8 0132 0132 2103 0132 0 0 0 0 0 0 0 0 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 0 0 0 1 0 0 -1 0 11 0 -11 -11 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.991328130864 1.238889720103 2 9 7 0 0132 0132 0321 0132 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 -1 0 1 -1 0 1 0 11 0 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507784084911 0.357339830339 5 9 0 8 0132 1023 0132 0213 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 1 -1 0 0 0 0 0 -1 0 0 1 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649505064499 1.095305220177 4 1 8 7 0132 0132 2103 3120 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 0 0 0 11 0 0 -11 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.332436678397 0.505301831496 2 10 1 9 2103 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380763281468 0.595212001215 5 10 3 1 3120 1230 0321 0132 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 0 0 0 11 -1 0 -10 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.368196769365 0.541080608955 5 10 2 4 2103 1302 0132 0213 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 1 -1 0 0 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.212475118775 0.984191257463 4 3 10 6 1023 0132 1302 0213 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 1 0 -1 -1 0 1 0 0 0 0 0 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.784289217768 0.510432172914 9 6 7 8 2031 0132 3012 2031 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 1 -1 0 0 0 0 0 -11 0 0 11 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.246492580652 1.061221816250 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_6'], 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : d['c_0110_10'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : d['c_0110_10'], 'c_1001_8' : d['c_0110_10'], 'c_1010_10' : d['c_0011_8'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_7']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : 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' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_7']), 'c_1100_8' : negation(d['c_0110_6']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1001_7'], 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : negation(d['c_0110_6']), 'c_1100_10' : negation(d['c_1001_7']), 'c_1010_7' : negation(d['c_0011_7']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0110_10'], 'c_1010_2' : d['c_0110_10'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : negation(d['c_0011_10']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_7'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : 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_0']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], '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_3'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0110_6']), 'c_0110_8' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0110_10, c_0110_6, c_1001_3, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 345060964988323/68079391386248*c_1001_7^10 + 4554455261197717/68079391386248*c_1001_7^9 - 22261595130463731/68079391386248*c_1001_7^8 + 13903387430735877/68079391386248*c_1001_7^7 - 298379763777402/8509923923281*c_1001_7^6 - 232215691367405/636255994264*c_1001_7^5 + 15478207909948735/68079391386248*c_1001_7^4 - 5218917630963171/34039695693124*c_1001_7^3 - 4520884536675523/17019847846562*c_1001_7^2 + 5690561287822461/68079391386248*c_1001_7 - 8303931899990179/68079391386248, c_0011_0 - 1, c_0011_10 + 5430595041/182030458252*c_1001_7^10 - 18528284454/45507614563*c_1001_7^9 + 377768198795/182030458252*c_1001_7^8 - 79029728999/45507614563*c_1001_7^7 - 33624055152/45507614563*c_1001_7^6 + 3643099147/1701219236*c_1001_7^5 - 150687517179/91015229126*c_1001_7^4 - 64654873777/91015229126*c_1001_7^3 + 65542000912/45507614563*c_1001_7^2 - 173414106873/182030458252*c_1001_7 - 36322715237/45507614563, c_0011_7 + 1305506387/91015229126*c_1001_7^10 - 37104651775/182030458252*c_1001_7^9 + 101986874853/91015229126*c_1001_7^8 - 283053127001/182030458252*c_1001_7^7 + 37754399565/45507614563*c_1001_7^6 + 1009224399/850609618*c_1001_7^5 - 318723892983/182030458252*c_1001_7^4 + 105288190177/91015229126*c_1001_7^3 + 91685262423/91015229126*c_1001_7^2 - 58196403833/91015229126*c_1001_7 + 55689913923/182030458252, c_0011_8 + 1305506387/91015229126*c_1001_7^10 - 37104651775/182030458252*c_1001_7^9 + 101986874853/91015229126*c_1001_7^8 - 283053127001/182030458252*c_1001_7^7 + 37754399565/45507614563*c_1001_7^6 + 1009224399/850609618*c_1001_7^5 - 318723892983/182030458252*c_1001_7^4 + 105288190177/91015229126*c_1001_7^3 + 91685262423/91015229126*c_1001_7^2 - 58196403833/91015229126*c_1001_7 + 237720372175/182030458252, c_0101_0 + 3479206049/45507614563*c_1001_7^10 - 179590197485/182030458252*c_1001_7^9 + 422198109085/91015229126*c_1001_7^8 - 304713996993/182030458252*c_1001_7^7 - 6884521047/45507614563*c_1001_7^6 + 2321071895/425304809*c_1001_7^5 - 250316405889/182030458252*c_1001_7^4 + 79909929595/45507614563*c_1001_7^3 + 140108220132/45507614563*c_1001_7^2 + 44992546841/91015229126*c_1001_7 + 233194166643/182030458252, c_0101_1 - 7333696483/182030458252*c_1001_7^10 + 45150246461/91015229126*c_1001_7^9 - 387996409493/182030458252*c_1001_7^8 - 55755400325/91015229126*c_1001_7^7 + 30853244111/45507614563*c_1001_7^6 - 3335407805/1701219236*c_1001_7^5 + 6605575356/45507614563*c_1001_7^4 - 66136833447/91015229126*c_1001_7^3 - 105377704942/45507614563*c_1001_7^2 - 78077822645/182030458252*c_1001_7 - 79394765265/91015229126, c_0101_3 + 7333696483/182030458252*c_1001_7^10 - 45150246461/91015229126*c_1001_7^9 + 387996409493/182030458252*c_1001_7^8 + 55755400325/91015229126*c_1001_7^7 - 30853244111/45507614563*c_1001_7^6 + 3335407805/1701219236*c_1001_7^5 - 6605575356/45507614563*c_1001_7^4 + 66136833447/91015229126*c_1001_7^3 + 105377704942/45507614563*c_1001_7^2 + 78077822645/182030458252*c_1001_7 + 79394765265/91015229126, c_0110_10 + 623790903/91015229126*c_1001_7^10 - 6408466761/91015229126*c_1001_7^9 + 18526981355/91015229126*c_1001_7^8 + 60420439029/91015229126*c_1001_7^7 + 47014785717/45507614563*c_1001_7^6 - 722574945/850609618*c_1001_7^5 + 76877809697/91015229126*c_1001_7^4 + 40547300357/45507614563*c_1001_7^3 - 25089489599/45507614563*c_1001_7^2 + 140673076775/91015229126*c_1001_7 + 101732721561/91015229126, c_0110_6 - 7528404067/182030458252*c_1001_7^10 + 96705638373/182030458252*c_1001_7^9 - 451427260849/182030458252*c_1001_7^8 + 141101615299/182030458252*c_1001_7^7 + 5936499109/45507614563*c_1001_7^6 - 5917950937/1701219236*c_1001_7^5 + 117815724131/182030458252*c_1001_7^4 - 1693733323/45507614563*c_1001_7^3 - 270057530957/91015229126*c_1001_7^2 + 41661766607/182030458252*c_1001_7 - 144593193009/182030458252, c_1001_3 + 11237448361/182030458252*c_1001_7^10 - 36237882211/45507614563*c_1001_7^9 + 676741354815/182030458252*c_1001_7^8 - 47723653391/45507614563*c_1001_7^7 - 58093207754/45507614563*c_1001_7^6 + 6103157903/1701219236*c_1001_7^5 - 50552408257/91015229126*c_1001_7^4 + 98504629091/91015229126*c_1001_7^3 + 123823038078/45507614563*c_1001_7^2 + 61678045531/182030458252*c_1001_7 + 34502516324/45507614563, c_1001_7^11 - 13*c_1001_7^10 + 62*c_1001_7^9 - 29*c_1001_7^8 + 7*c_1001_7^7 + 65*c_1001_7^6 - 31*c_1001_7^5 + 31*c_1001_7^4 + 50*c_1001_7^3 - 5*c_1001_7^2 + 27*c_1001_7 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.230 Total time: 0.450 seconds, Total memory usage: 32.09MB