Magma V2.19-8 Tue Aug 20 2013 17:56:06 on localhost [Seed = 2210542663] Type ? for help. Type -D to quit. Loading file "11_301__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_301 geometric_solution 8.61249396 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 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 0 1 1 0 0 -1 0 0 0 0 -6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462197092865 0.843014825933 0 5 5 2 0132 0132 3120 1023 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 -1 0 0 1 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.199544158428 1.982665711386 6 0 7 1 0132 0132 0132 1023 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 1 0 -1 -1 0 1 0 -1 -5 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.019417179029 0.708208890449 8 8 9 0 0132 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736999203797 0.936678043338 9 6 0 8 2103 0321 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.804639166590 0.708351292575 7 1 1 9 2031 0132 3120 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.699196227890 0.786212397087 2 7 9 4 0132 2031 0213 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696922606550 0.589595329561 6 8 5 2 1302 1302 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.171943432539 0.570939380925 3 4 3 7 0132 0321 3012 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481181428952 0.659384652619 5 6 4 3 3120 0213 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.734336186355 0.351400018797 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0011_9'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_4'], 'c_1001_8' : negation(d['c_0011_3']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], '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_0_8' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_3']), 'c_1100_8' : negation(d['c_1001_2']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : d['c_1001_2'], 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_5'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_7'], 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_9'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_7'], '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' : negation(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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_0101_7' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_0'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : 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_0011_9'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : negation(d['c_0011_4']), 'c_0110_6' : negation(d['c_0011_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 8144652499/16770793*c_1001_2^9 + 21912620728/16770793*c_1001_2^8 + 40081772037/67083172*c_1001_2^7 - 613778979779/134166344*c_1001_2^6 + 244895624079/67083172*c_1001_2^5 + 121640250077/67083172*c_1001_2^4 - 641551705029/134166344*c_1001_2^3 + 569080045581/134166344*c_1001_2^2 - 134403943611/67083172*c_1001_2 + 13146740471/33541586, c_0011_0 - 1, c_0011_3 + 14312/7457*c_1001_2^9 - 51216/7457*c_1001_2^8 + 11650/7457*c_1001_2^7 + 169233/7457*c_1001_2^6 - 232486/7457*c_1001_2^5 - 8417/7457*c_1001_2^4 + 239084/7457*c_1001_2^3 - 237841/7457*c_1001_2^2 + 136982/7457*c_1001_2 - 39239/7457, c_0011_4 - 6442/7457*c_1001_2^9 + 36408/7457*c_1001_2^8 - 72061/14914*c_1001_2^7 - 402749/29828*c_1001_2^6 + 425855/14914*c_1001_2^5 - 127347/14914*c_1001_2^4 - 652555/29828*c_1001_2^3 + 869963/29828*c_1001_2^2 - 286243/14914*c_1001_2 + 44915/7457, c_0011_7 - 58104/7457*c_1001_2^9 + 194172/7457*c_1001_2^8 - 8382/7457*c_1001_2^7 - 632704/7457*c_1001_2^6 + 1443475/14914*c_1001_2^5 + 110267/7457*c_1001_2^4 - 749289/7457*c_1001_2^3 + 1441605/14914*c_1001_2^2 - 800961/14914*c_1001_2 + 88551/7457, c_0011_9 - 22966/7457*c_1001_2^9 + 80484/7457*c_1001_2^8 - 20499/14914*c_1001_2^7 - 1041367/29828*c_1001_2^6 + 315272/7457*c_1001_2^5 + 65909/14914*c_1001_2^4 - 1282693/29828*c_1001_2^3 + 1270959/29828*c_1001_2^2 - 179539/7457*c_1001_2 + 37955/7457, c_0101_0 - 28668/7457*c_1001_2^9 + 97004/7457*c_1001_2^8 - 12415/7457*c_1001_2^7 - 616841/14914*c_1001_2^6 + 779645/14914*c_1001_2^5 + 15649/7457*c_1001_2^4 - 780893/14914*c_1001_2^3 + 409419/7457*c_1001_2^2 - 458165/14914*c_1001_2 + 53462/7457, c_0101_1 + 31782/7457*c_1001_2^9 - 112816/7457*c_1001_2^8 + 40587/14914*c_1001_2^7 + 1460899/29828*c_1001_2^6 - 916923/14914*c_1001_2^5 - 99479/14914*c_1001_2^4 + 1857361/29828*c_1001_2^3 - 1761025/29828*c_1001_2^2 + 478755/14914*c_1001_2 - 53710/7457, c_0101_3 + 21162/7457*c_1001_2^9 - 64408/7457*c_1001_2^8 - 41427/14914*c_1001_2^7 + 957725/29828*c_1001_2^6 - 409611/14914*c_1001_2^5 - 222735/14914*c_1001_2^4 + 1112955/29828*c_1001_2^3 - 892935/29828*c_1001_2^2 + 191549/14914*c_1001_2 - 12174/7457, c_0101_5 + 8816/7457*c_1001_2^9 - 32332/7457*c_1001_2^8 + 10044/7457*c_1001_2^7 + 104883/7457*c_1001_2^6 - 286379/14914*c_1001_2^5 - 16785/7457*c_1001_2^4 + 143667/7457*c_1001_2^3 - 245033/14914*c_1001_2^2 + 134591/14914*c_1001_2 - 15755/7457, c_1001_2^10 - 4*c_1001_2^9 + 9/4*c_1001_2^8 + 89/8*c_1001_2^7 - 79/4*c_1001_2^6 + 23/4*c_1001_2^5 + 119/8*c_1001_2^4 - 171/8*c_1001_2^3 + 61/4*c_1001_2^2 - 6*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB