Magma V2.19-8 Tue Aug 20 2013 18:00:05 on localhost [Seed = 71676107] Type ? for help. Type -D to quit. Loading file "10^3_46__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_46 geometric_solution 13.20617457 oriented_manifold CS_known 0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 3 2 0132 0132 0132 1230 2 1 0 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 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 0.410020885240 0.822354247370 0 4 4 5 0132 0132 1302 0132 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 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 0.514413983778 0.973910689134 0 0 4 5 3012 0132 0132 2031 2 2 1 0 0 0 0 0 0 0 -1 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 0 1 1 0 1 -2 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575959194369 0.802812299541 6 7 4 0 0132 0132 0321 0132 2 1 1 2 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 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 0.712708251259 0.945834823386 1 1 3 2 2031 0132 0321 0132 2 2 0 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 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 0.575959194369 0.802812299541 7 2 1 8 2103 1302 0132 0132 2 1 2 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 0 -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 0.294012864589 0.967962383435 3 9 7 8 0132 0132 2103 2103 2 1 2 1 0 -1 1 0 0 0 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 2 -1 -1 -1 0 -2 3 0 -2 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.038746163336 1.078692899399 6 3 5 10 2103 0132 2103 0132 2 1 2 1 0 0 0 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 0 0 0 0 0 0 0 2 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 0.607463812672 0.492898650058 11 10 5 6 0132 3120 0132 2103 2 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 0 2 -2 3 0 0 -3 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.753313889574 0.825422261016 11 6 10 12 2103 0132 2103 0132 2 1 1 2 0 1 0 -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 -2 0 2 0 0 0 0 0 1 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688916796534 0.355270188612 9 8 7 13 2103 3120 0132 0132 2 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 2 -2 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.017472428055 1.526278502879 8 12 9 13 0132 3120 2103 2103 1 1 2 2 0 0 0 0 1 0 0 -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 0 0 0 -3 0 0 3 -1 1 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468323747931 0.932614046966 13 11 9 13 0132 3120 0132 3201 2 1 2 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 0 0 0 0 0 0 0 2 -2 0 -1 0 0 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 1.088449979647 0.792432729394 12 12 10 11 0132 2310 0132 2103 2 1 1 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 1 0 2 -3 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399533183113 0.437162540782 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : d['c_1001_10'], 'c_1001_13' : d['c_0011_11'], 'c_1001_12' : negation(d['c_0011_3']), 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : d['c_0110_2'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_1001_10']), 'c_1010_13' : d['c_0011_12'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : d['c_0011_11'], 's_3_11' : d['1'], 's_3_10' : 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_10'], 'c_0101_10' : d['c_0101_10'], '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' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : 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' : negation(d['1']), 's_0_5' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_3']), 'c_0011_13' : negation(d['c_0011_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_1001_10'], 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_0101_10']), '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_10'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : negation(d['c_0101_8']), 'c_1100_13' : negation(d['c_0101_8']), 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : negation(d['c_1001_10']), 's_0_13' : d['1'], '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' : negation(d['c_0011_3']), 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : d['c_0011_12'], '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' : negation(d['1']), 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_13' : d['c_0101_12'], 'c_0110_12' : negation(d['c_0011_12']), 'c_1010_4' : d['c_0101_2'], 'c_0101_12' : d['c_0101_12'], '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_10'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_3'], 'c_0101_13' : negation(d['c_0011_12'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_5, c_0101_0, c_0101_10, c_0101_12, c_0101_2, c_0101_3, c_0101_8, c_0110_2, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 5134055223/8192000*c_1001_10^8 - 25219074163/4096000*c_1001_10^7 + 124010843697/4096000*c_1001_10^6 - 198096359519/4096000*c_1001_10^5 + 70054365993/2048000*c_1001_10^4 - 21020236409/4096000*c_1001_10^3 - 5891535173/819200*c_1001_10^2 + 15576813899/4096000*c_1001_10 - 231540793/1638400, c_0011_0 - 1, c_0011_10 + 714009/163840*c_1001_10^8 + 3659219/81920*c_1001_10^7 - 15227261/81920*c_1001_10^6 + 26125247/81920*c_1001_10^5 - 6175137/20480*c_1001_10^4 + 13715097/81920*c_1001_10^3 - 856391/16384*c_1001_10^2 + 750933/81920*c_1001_10 - 30173/32768, c_0011_11 + 238003/327680*c_1001_10^8 + 634399/81920*c_1001_10^7 - 576249/20480*c_1001_10^6 + 3062967/81920*c_1001_10^5 - 4282401/163840*c_1001_10^4 + 1096277/81920*c_1001_10^3 - 53311/8192*c_1001_10^2 + 271733/81920*c_1001_10 - 33461/65536, c_0011_12 + 177451/32768*c_1001_10^8 + 931305/16384*c_1001_10^7 - 3526727/16384*c_1001_10^6 + 5913005/16384*c_1001_10^5 - 1459903/4096*c_1001_10^4 + 3738267/16384*c_1001_10^3 - 1534361/16384*c_1001_10^2 + 367183/16384*c_1001_10 - 57971/32768, c_0011_3 - 116899/327680*c_1001_10^8 - 71081/40960*c_1001_10^7 + 2942023/81920*c_1001_10^6 - 3975283/40960*c_1001_10^5 + 21274383/163840*c_1001_10^4 - 4090503/40960*c_1001_10^3 + 720755/16384*c_1001_10^2 - 341517/40960*c_1001_10 - 12343/65536, c_0011_5 - 1, c_0101_0 - 1, c_0101_10 + 95033/20480*c_1001_10^8 + 3783459/81920*c_1001_10^7 - 17404971/81920*c_1001_10^6 + 32227007/81920*c_1001_10^5 - 33576783/81920*c_1001_10^4 + 21079817/81920*c_1001_10^3 - 1519213/16384*c_1001_10^2 + 1360853/81920*c_1001_10 - 7605/16384, c_0101_12 - 28140701/1638400*c_1001_10^8 - 70707813/409600*c_1001_10^7 + 1227627/1600*c_1001_10^6 - 575682109/409600*c_1001_10^5 + 1205319287/819200*c_1001_10^4 - 392549239/409600*c_1001_10^3 + 3126051/8192*c_1001_10^2 - 34844231/409600*c_1001_10 + 2225707/327680, c_0101_2 + 78213/10240*c_1001_10^8 + 26433/320*c_1001_10^7 - 1434227/5120*c_1001_10^6 + 31101/80*c_1001_10^5 - 726073/2560*c_1001_10^4 + 66403/640*c_1001_10^3 - 8001/1024*c_1001_10^2 - 2973/640*c_1001_10 + 1219/2048, c_0101_3 + 1, c_0101_8 - 116899/327680*c_1001_10^8 - 71081/40960*c_1001_10^7 + 2942023/81920*c_1001_10^6 - 3975283/40960*c_1001_10^5 + 21274383/163840*c_1001_10^4 - 4090503/40960*c_1001_10^3 + 720755/16384*c_1001_10^2 - 341517/40960*c_1001_10 - 12343/65536, c_0110_2 - 78213/10240*c_1001_10^8 - 26433/320*c_1001_10^7 + 1434227/5120*c_1001_10^6 - 31101/80*c_1001_10^5 + 726073/2560*c_1001_10^4 - 66403/640*c_1001_10^3 + 8001/1024*c_1001_10^2 + 2973/640*c_1001_10 - 3267/2048, c_1001_10^9 + 8417/841*c_1001_10^8 - 37948/841*c_1001_10^7 + 70196/841*c_1001_10^6 - 73874/841*c_1001_10^5 + 48206/841*c_1001_10^4 - 19340/841*c_1001_10^3 + 4484/841*c_1001_10^2 - 495/841*c_1001_10 + 25/841 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB