Magma V2.19-8 Tue Aug 20 2013 23:50:48 on localhost [Seed = 2260790711] Type ? for help. Type -D to quit. Loading file "L12n868__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n868 geometric_solution 10.99510257 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 1 0132 1230 0132 2031 1 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 0 0 0 0 0 1 -1 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 0.390930907533 1.035208006221 0 0 0 3 0132 1302 3012 0132 1 1 1 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.680737880202 0.845424846511 4 5 6 0 0132 0132 0132 0132 1 1 1 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 4 -3 -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 0.896811755838 0.721609001944 7 8 1 9 0132 0132 0132 0132 1 1 1 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 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.798638343298 1.366745625779 2 10 7 9 0132 0132 0132 3201 1 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.732222410755 0.275805758814 6 2 9 10 0132 0132 1230 0213 1 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 -4 0 4 0 0 0 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.908168187019 0.833496233682 5 11 8 2 0132 0132 2031 0132 1 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 -3 0 3 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331498954399 1.152799506725 3 9 8 4 0132 1023 3201 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 0 0 0 0 0 0 0 0 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278578530170 0.936820316085 7 3 11 6 2310 0132 1230 1302 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 -1 0 0 1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493360945583 1.385797742821 7 4 3 5 1023 2310 0132 3012 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 0 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.266402052365 0.509085440795 11 4 11 5 0213 0132 0321 0213 1 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 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710551180873 0.741482544451 10 6 10 8 0213 0132 0321 3012 1 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 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.311410788017 0.310206519702 ==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_1001_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0110_9'], 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : negation(d['c_1001_10']), 'c_1001_8' : negation(d['c_1001_10']), 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : d['c_0110_9'], '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_0011_10'], 'c_0101_10' : negation(d['c_0011_10']), 's_2_0' : 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' : d['1'], 's_2_10' : 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' : negation(d['c_1001_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0110_9'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : negation(d['c_1001_3']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_1001_3']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_10'], 'c_1100_10' : d['c_1001_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_9'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : negation(d['c_1001_10']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_2']), 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : d['c_0101_6'], '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' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : 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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0011_2' : d['c_0011_10'], 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : negation(d['c_0101_6']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], '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_7'], 'c_0101_8' : negation(d['c_0101_7']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0101_7']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_2']})} 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_3, c_0101_0, c_0101_2, c_0101_6, c_0101_7, c_0110_9, c_1001_0, c_1001_10, c_1001_11, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 928817048534607/19834160554720*c_1001_3^9 + 3030531515058041/9917080277360*c_1001_3^8 - 61637747966902603/59502481664160*c_1001_3^7 + 215933099649247831/59502481664160*c_1001_3^6 - 191022541770433267/29751240832080*c_1001_3^5 + 139138418059954353/19834160554720*c_1001_3^4 - 125985377701514711/29751240832080*c_1001_3^3 + 7029164918251017/4958540138680*c_1001_3^2 - 641233570144761/2479270069340*c_1001_3 + 135530004996353/3718905104010, c_0011_0 - 1, c_0011_10 - 22388135427/5425098620*c_1001_3^9 + 127419640179/10850197240*c_1001_3^8 - 76278303904/1356274655*c_1001_3^7 + 1445956421889/10850197240*c_1001_3^6 - 2027213983571/10850197240*c_1001_3^5 + 462986027999/2712549310*c_1001_3^4 - 1245111985003/10850197240*c_1001_3^3 + 185502002699/2712549310*c_1001_3^2 - 40190998362/1356274655*c_1001_3 + 7151538189/1356274655, c_0011_3 - 75727691883/21700394480*c_1001_3^9 + 51749052387/5425098620*c_1001_3^8 - 1017148490969/21700394480*c_1001_3^7 + 2343781745463/21700394480*c_1001_3^6 - 814636481863/5425098620*c_1001_3^5 + 2903970651017/21700394480*c_1001_3^4 - 240898360677/2712549310*c_1001_3^3 + 281278238583/5425098620*c_1001_3^2 - 59303435479/2712549310*c_1001_3 + 4473747109/1356274655, c_0101_0 - 1, c_0101_2 + 480244275/542509862*c_1001_3^9 - 2568455715/542509862*c_1001_3^8 + 18611613773/1085019724*c_1001_3^7 - 60856006941/1085019724*c_1001_3^6 + 52470412283/542509862*c_1001_3^5 - 116133268823/1085019724*c_1001_3^4 + 86435941431/1085019724*c_1001_3^3 - 13234555537/271254931*c_1001_3^2 + 14059691225/542509862*c_1001_3 - 2014155944/271254931, c_0101_6 - 40325143599/10850197240*c_1001_3^9 + 31406121711/2712549310*c_1001_3^8 - 579641745237/10850197240*c_1001_3^7 + 1445092713719/10850197240*c_1001_3^6 - 269979942562/1356274655*c_1001_3^5 + 2099987132381/10850197240*c_1001_3^4 - 369383591627/2712549310*c_1001_3^3 + 109528395277/1356274655*c_1001_3^2 - 52605573327/1356274655*c_1001_3 + 12148716519/1356274655, c_0101_7 - 40325143599/10850197240*c_1001_3^9 + 31406121711/2712549310*c_1001_3^8 - 579641745237/10850197240*c_1001_3^7 + 1445092713719/10850197240*c_1001_3^6 - 269979942562/1356274655*c_1001_3^5 + 2099987132381/10850197240*c_1001_3^4 - 369383591627/2712549310*c_1001_3^3 + 109528395277/1356274655*c_1001_3^2 - 51249298672/1356274655*c_1001_3 + 12148716519/1356274655, c_0110_9 - 67431656169/10850197240*c_1001_3^9 + 208421283039/10850197240*c_1001_3^8 - 960164940227/10850197240*c_1001_3^7 + 597451784911/2712549310*c_1001_3^6 - 3512310794861/10850197240*c_1001_3^5 + 3387872427731/10850197240*c_1001_3^4 - 2354993079983/10850197240*c_1001_3^3 + 701835098563/5425098620*c_1001_3^2 - 162449366149/2712549310*c_1001_3 + 17479822084/1356274655, c_1001_0 + c_1001_3 - 1, c_1001_10 + 22037717169/21700394480*c_1001_3^9 - 19519258821/5425098620*c_1001_3^8 + 345718342547/21700394480*c_1001_3^7 - 920199795709/21700394480*c_1001_3^6 + 376215058979/5425098620*c_1001_3^5 - 1596452475411/21700394480*c_1001_3^4 + 74720425683/1356274655*c_1001_3^3 - 182799368179/5425098620*c_1001_3^2 + 46454285337/2712549310*c_1001_3 - 7109806897/1356274655, c_1001_11 - 4961582613/10850197240*c_1001_3^9 + 1036000011/1356274655*c_1001_3^8 - 53446522349/10850197240*c_1001_3^7 + 85244541903/10850197240*c_1001_3^6 - 8030060789/1356274655*c_1001_3^5 - 7934706303/10850197240*c_1001_3^4 + 24562268057/5425098620*c_1001_3^3 - 9106109547/2712549310*c_1001_3^2 + 8065480647/2712549310*c_1001_3 - 2014312112/1356274655, c_1001_3^10 - 32/9*c_1001_3^9 + 425/27*c_1001_3^8 - 1139/27*c_1001_3^7 + 208/3*c_1001_3^6 - 683/9*c_1001_3^5 + 60*c_1001_3^4 - 1036/27*c_1001_3^3 + 544/27*c_1001_3^2 - 64/9*c_1001_3 + 32/27 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.400 Total time: 0.610 seconds, Total memory usage: 32.09MB