Magma V2.19-8 Wed Aug 21 2013 00:10:35 on localhost [Seed = 3769012054] Type ? for help. Type -D to quit. Loading file "K13n269__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n269 geometric_solution 11.18933807 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 0 -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 0 0 0 0 -8 -1 9 0 0 0 0 -8 8 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345906377167 1.890077057626 0 5 6 4 0132 0132 0132 0321 0 0 0 0 0 0 -1 1 0 0 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 9 -9 0 0 -9 9 0 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446990428389 0.760428319794 7 0 8 3 0132 0132 0132 3201 0 0 0 0 0 -1 1 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 8 -8 0 0 0 0 0 0 -1 0 1 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394083452151 1.010986106674 9 2 5 0 0132 2310 1230 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 -1 0 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 0.394083452151 1.010986106674 10 1 0 7 0132 0321 0132 0213 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 9 -9 0 0 0 0 0 0 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446990428389 0.760428319794 7 1 7 3 1023 0132 0321 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519385567951 0.254316201253 11 11 8 1 0132 1302 0213 0132 0 0 0 0 0 -1 0 1 1 0 0 -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 9 0 -9 -9 0 0 9 -8 0 0 8 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.794313072035 1.152102334478 2 5 5 4 0132 1023 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.553009571611 0.760428319794 10 6 12 2 2310 0213 0132 0132 0 0 0 0 0 0 1 -1 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 0 -8 8 0 0 0 0 8 0 0 -8 -9 1 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594380837823 0.588325686817 3 12 10 11 0132 3201 0213 3012 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 -9 9 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 0.791995020417 1.089553574840 4 9 8 12 0132 0213 3201 2031 0 0 0 0 0 1 -1 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 -9 9 0 0 0 -8 8 -9 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.849310178543 1.139475398133 6 12 9 6 0132 3012 1230 2031 0 0 0 0 0 0 0 0 -1 0 0 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 0 0 0 9 0 0 -9 0 1 0 -1 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.150175149338 0.841167408375 11 10 9 8 1230 1302 2310 0132 0 0 0 0 0 1 0 -1 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 -8 0 8 -1 0 1 0 8 0 0 -8 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.420498291443 0.625803624617 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : d['c_0101_1'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0011_8'], 'c_1010_12' : d['c_0011_8'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_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_12' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_3']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0110_5'], 'c_1100_7' : d['c_1001_5'], 'c_1100_6' : d['c_1001_2'], 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : negation(d['c_0011_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_3'], 'c_1100_10' : negation(d['c_0011_8']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_1001_5'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_1']), 'c_1010_8' : d['c_1001_2'], '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'], 'c_1100_12' : negation(d['c_0011_3']), '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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), '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_0011_8'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0011_8'], '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_0101_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_10'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0011_10'], 'c_1100_9' : d['c_0011_12'], 'c_0110_3' : d['c_0011_10'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0101_10']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_8, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0110_5, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1066063445276/1101383241543*c_1001_5^11 + 1090707273359/367127747181*c_1001_5^10 + 262673652899/367127747181*c_1001_5^9 - 9535102853492/367127747181*c_1001_5^8 + 40096711010146/1101383241543*c_1001_5^7 + 73848140464922/1101383241543*c_1001_5^6 - 26242811254949/122375915727*c_1001_5^5 - 20448395458817/1101383241543*c_1001_5^4 + 548321892818855/1101383241543*c_1001_5^3 - 54908933944375/367127747181*c_1001_5^2 - 66476304222599/84721787811*c_1001_5 - 381040820787587/1101383241543, c_0011_0 - 1, c_0011_10 + 110360/901407*c_1001_5^11 - 333485/901407*c_1001_5^10 - 103139/901407*c_1001_5^9 + 2985634/901407*c_1001_5^8 - 1353072/300469*c_1001_5^7 - 2646939/300469*c_1001_5^6 + 1888969/69339*c_1001_5^5 + 994647/300469*c_1001_5^4 - 19318842/300469*c_1001_5^3 + 16283440/901407*c_1001_5^2 + 30515236/300469*c_1001_5 + 39308251/901407, c_0011_11 + 154514798/104863681*c_1001_5^11 - 1311742690/314591043*c_1001_5^10 - 255019054/104863681*c_1001_5^9 + 4227811780/104863681*c_1001_5^8 - 14690628545/314591043*c_1001_5^7 - 38318759897/314591043*c_1001_5^6 + 99867255641/314591043*c_1001_5^5 + 35379831958/314591043*c_1001_5^4 - 85413834302/104863681*c_1001_5^3 + 27274090120/314591043*c_1001_5^2 + 427679000789/314591043*c_1001_5 + 72690748952/104863681, c_0011_12 + 159463856/104863681*c_1001_5^11 - 449091516/104863681*c_1001_5^10 - 271777463/104863681*c_1001_5^9 + 13110898208/314591043*c_1001_5^8 - 15015329828/314591043*c_1001_5^7 - 3071785909/24199311*c_1001_5^6 + 103041952202/314591043*c_1001_5^5 + 37887196391/314591043*c_1001_5^4 - 88612359634/104863681*c_1001_5^3 + 26542653481/314591043*c_1001_5^2 + 444089797262/314591043*c_1001_5 + 226861610702/314591043, c_0011_3 + 6332/13611*c_1001_5^11 - 17626/13611*c_1001_5^10 - 11617/13611*c_1001_5^9 + 58069/4537*c_1001_5^8 - 64641/4537*c_1001_5^7 - 180324/4537*c_1001_5^6 + 454002/4537*c_1001_5^5 + 549140/13611*c_1001_5^4 - 3561430/13611*c_1001_5^3 + 288112/13611*c_1001_5^2 + 5980883/13611*c_1001_5 + 3084841/13611, c_0011_8 - 320693093/314591043*c_1001_5^11 + 909130004/314591043*c_1001_5^10 + 525212113/314591043*c_1001_5^9 - 2927093655/104863681*c_1001_5^8 + 10222791710/314591043*c_1001_5^7 + 26449864418/314591043*c_1001_5^6 - 69297664769/314591043*c_1001_5^5 - 7974182118/104863681*c_1001_5^4 + 177364856164/314591043*c_1001_5^3 - 20385665360/314591043*c_1001_5^2 - 295062643348/314591043*c_1001_5 - 148978593460/314591043, c_0101_1 - 6332/13611*c_1001_5^11 + 17626/13611*c_1001_5^10 + 11617/13611*c_1001_5^9 - 58069/4537*c_1001_5^8 + 64641/4537*c_1001_5^7 + 180324/4537*c_1001_5^6 - 454002/4537*c_1001_5^5 - 549140/13611*c_1001_5^4 + 3561430/13611*c_1001_5^3 - 288112/13611*c_1001_5^2 - 5980883/13611*c_1001_5 - 3084841/13611, c_0101_10 + 124667369/314591043*c_1001_5^11 - 366720811/314591043*c_1001_5^10 - 50465305/104863681*c_1001_5^9 + 3374148383/314591043*c_1001_5^8 - 4287593201/314591043*c_1001_5^7 - 9501364502/314591043*c_1001_5^6 + 27117827863/314591043*c_1001_5^5 + 6256198646/314591043*c_1001_5^4 - 66447147992/314591043*c_1001_5^3 + 12198442052/314591043*c_1001_5^2 + 2786392330/8066437*c_1001_5 + 52352732410/314591043, c_0101_3 - 124667369/314591043*c_1001_5^11 + 366720811/314591043*c_1001_5^10 + 50465305/104863681*c_1001_5^9 - 3374148383/314591043*c_1001_5^8 + 4287593201/314591043*c_1001_5^7 + 9501364502/314591043*c_1001_5^6 - 27117827863/314591043*c_1001_5^5 - 6256198646/314591043*c_1001_5^4 + 66447147992/314591043*c_1001_5^3 - 12198442052/314591043*c_1001_5^2 - 2786392330/8066437*c_1001_5 - 52352732410/314591043, c_0101_5 + 80796036/104863681*c_1001_5^11 - 684773212/314591043*c_1001_5^10 - 402769592/314591043*c_1001_5^9 + 6627997684/314591043*c_1001_5^8 - 2549318416/104863681*c_1001_5^7 - 20065121255/314591043*c_1001_5^6 + 52103878208/314591043*c_1001_5^5 + 6248377706/104863681*c_1001_5^4 - 133862742046/314591043*c_1001_5^3 + 4532430479/104863681*c_1001_5^2 + 17217584570/24199311*c_1001_5 + 114721251221/314591043, c_0110_5 - 1, c_1001_2 + 110360/901407*c_1001_5^11 - 333485/901407*c_1001_5^10 - 103139/901407*c_1001_5^9 + 2985634/901407*c_1001_5^8 - 1353072/300469*c_1001_5^7 - 2646939/300469*c_1001_5^6 + 1888969/69339*c_1001_5^5 + 994647/300469*c_1001_5^4 - 19318842/300469*c_1001_5^3 + 16283440/901407*c_1001_5^2 + 30515236/300469*c_1001_5 + 39308251/901407, c_1001_5^12 - 2*c_1001_5^11 - 4*c_1001_5^10 + 26*c_1001_5^9 - 9*c_1001_5^8 - 109*c_1001_5^7 + 147*c_1001_5^6 + 255*c_1001_5^5 - 490*c_1001_5^4 - 399*c_1001_5^3 + 972*c_1001_5^2 + 1234*c_1001_5 + 389 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 7.080 Total time: 7.290 seconds, Total memory usage: 82.19MB