Magma V2.19-8 Wed Aug 21 2013 00:55:06 on localhost [Seed = 3987470213] Type ? for help. Type -D to quit. Loading file "L12n925__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n925 geometric_solution 11.27298225 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 0 0 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 0 1 -1 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 -0.128810505233 0.723583569880 0 3 6 5 0132 1023 0132 0132 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 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 0.436036752005 0.585749907523 7 0 8 5 0132 0132 0132 2031 1 1 0 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 -1 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 0.546169607744 1.658050897672 1 7 9 0 1023 0132 0132 0132 1 1 0 1 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 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 0.663429645410 2.731624482982 7 10 0 11 3120 0132 0132 0132 1 1 1 1 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 -1 1 0 0 0 0 0 -3 3 0 0 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551911696608 0.435338780601 7 2 1 12 2103 1302 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -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 0.644918332550 0.939386218626 12 9 11 1 0132 1023 0213 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.311084699086 0.374908273130 2 3 5 4 0132 0132 2103 3120 1 1 1 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 -3 0 0 3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.198657117975 0.323590547881 11 12 10 2 0132 0321 1023 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 1 -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 0.466897787009 1.229224126769 6 10 11 3 1023 1023 0132 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.349992380210 0.737768356850 9 4 8 12 1023 0132 1023 0321 1 1 1 1 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 1 -1 0 0 0 0 0 0 2 0 -2 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352078627477 0.931441526960 8 6 4 9 0132 0213 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.136696514087 0.832093472015 6 10 5 8 0132 0321 0132 0321 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 1 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.885312738097 0.413759764918 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : d['c_0101_8'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_1001_2'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_1001_2'], '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_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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_1001_12']), 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1001_12']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1001_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_1001_12'], 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : d['c_0101_10'], 's_1_7' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : d['c_0011_10'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], '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' : d['c_0101_11'], '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_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_11'], '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_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_8, c_1001_12, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 16434389107079696141489107/90168079933408044454400*c_1100_0^7 - 10597865567188138513620647/18033615986681608890880*c_1100_0^6 + 13347049582229225845362921/9016807993340804445440*c_1100_0^5 - 87594090636239888740889169/90168079933408044454400*c_1100_0^4 + 1626039690835852820980781/2254201998335201111360*c_1100_0^3 + 33016682922941024730871061/90168079933408044454400*c_1100_0^2 + 77638814823197095408179787/45084039966704022227200*c_1100_0 + 6313310354834200618146633/18033615986681608890880, c_0011_0 - 1, c_0011_10 - 518445969412/1997690409795*c_1100_0^7 + 349365630082/399538081959*c_1100_0^6 - 309976653301/133179360653*c_1100_0^5 + 3995992039534/1997690409795*c_1100_0^4 - 714483369728/399538081959*c_1100_0^3 - 369783485056/1997690409795*c_1100_0^2 - 4346515291799/1997690409795*c_1100_0 - 42997175270/399538081959, c_0011_11 - 73557449462/1997690409795*c_1100_0^7 + 35669809490/399538081959*c_1100_0^6 - 31382197020/133179360653*c_1100_0^5 + 103621883684/1997690409795*c_1100_0^4 - 37040434822/399538081959*c_1100_0^3 + 276350568394/1997690409795*c_1100_0^2 - 1415816491174/1997690409795*c_1100_0 + 69326391023/399538081959, c_0011_5 + 386989181404/5993071229385*c_1100_0^7 - 223817242187/1198614245877*c_1100_0^6 + 434632976251/1198614245877*c_1100_0^5 - 423761443583/5993071229385*c_1100_0^4 - 345669403847/1198614245877*c_1100_0^3 - 2462791196/1997690409795*c_1100_0^2 - 3285070905202/5993071229385*c_1100_0 + 53932736743/399538081959, c_0101_0 + 155113628642/1198614245877*c_1100_0^7 - 646951696034/1198614245877*c_1100_0^6 + 1685793563077/1198614245877*c_1100_0^5 - 1578115853242/1198614245877*c_1100_0^4 + 804512043730/1198614245877*c_1100_0^3 + 339513199463/399538081959*c_1100_0^2 + 1943219702782/1198614245877*c_1100_0 + 138863647186/399538081959, c_0101_1 - 1, c_0101_10 + 162224288338/1997690409795*c_1100_0^7 - 90870737377/399538081959*c_1100_0^6 + 68371775785/133179360653*c_1100_0^5 - 744580286431/1997690409795*c_1100_0^4 + 218777711723/399538081959*c_1100_0^3 - 1398367527566/1997690409795*c_1100_0^2 + 239353627901/1997690409795*c_1100_0 - 66682079209/399538081959, c_0101_11 - 584534715149/1997690409795*c_1100_0^7 + 281315870486/399538081959*c_1100_0^6 - 218303051694/133179360653*c_1100_0^5 - 530154555862/1997690409795*c_1100_0^4 - 99069228757/399538081959*c_1100_0^3 - 1905352173407/1997690409795*c_1100_0^2 - 7522366230613/1997690409795*c_1100_0 - 1318271487793/399538081959, c_0101_3 - 245843430532/1997690409795*c_1100_0^7 + 93907184728/399538081959*c_1100_0^6 - 73598723708/133179360653*c_1100_0^5 - 923052185546/1997690409795*c_1100_0^4 + 5590574869/399538081959*c_1100_0^3 - 1038696579016/1997690409795*c_1100_0^2 - 3413346696344/1997690409795*c_1100_0 - 796150053968/399538081959, c_0101_8 + 106986544777/1997690409795*c_1100_0^7 - 28631834833/399538081959*c_1100_0^6 + 9990012511/133179360653*c_1100_0^5 + 809033982776/1997690409795*c_1100_0^4 - 66806815174/399538081959*c_1100_0^3 + 318287132731/1997690409795*c_1100_0^2 - 65521382116/1997690409795*c_1100_0 + 279004963811/399538081959, c_1001_12 - 156204297886/1997690409795*c_1100_0^7 + 90831581806/399538081959*c_1100_0^6 - 58952819377/133179360653*c_1100_0^5 + 239030341687/1997690409795*c_1100_0^4 + 106908866830/399538081959*c_1100_0^3 + 143022759992/1997690409795*c_1100_0^2 + 130402941238/1997690409795*c_1100_0 - 310716169037/399538081959, c_1001_2 + 49315428239/665896803265*c_1100_0^7 - 28255770907/133179360653*c_1100_0^6 + 59797136534/133179360653*c_1100_0^5 + 27410542817/665896803265*c_1100_0^4 - 39924498723/133179360653*c_1100_0^3 + 376695941027/665896803265*c_1100_0^2 + 172277384958/665896803265*c_1100_0 + 55812625774/133179360653, c_1100_0^8 - 20/7*c_1100_0^7 + 345/49*c_1100_0^6 - 19/7*c_1100_0^5 + 145/49*c_1100_0^4 + 127/49*c_1100_0^3 + 533/49*c_1100_0^2 + 265/49*c_1100_0 + 75/49 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.480 seconds, Total memory usage: 32.09MB