Magma V2.19-8 Tue Aug 20 2013 16:18:32 on localhost [Seed = 374836005] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2720 geometric_solution 5.97045293 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 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 1 0 -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 0.223854777828 1.805474092663 3 4 5 0 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.097772522231 0.657855650852 4 3 0 5 3201 0132 0132 0132 0 0 0 0 0 -1 1 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 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 0.097772522231 0.657855650852 1 2 3 3 0132 0132 1230 3012 0 0 0 0 0 1 -1 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 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 0.461287055222 0.663028880924 4 1 4 2 2310 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548340498573 1.580593215688 6 6 2 1 0132 3201 0132 0132 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.504933418097 1.135430401221 5 6 5 6 0132 2310 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.488743926733 0.752240763485 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_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_0_6' : 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_6' : d['c_0011_5'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_0, c_0101_1, c_0101_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 198755841253143/10205307038731*c_1100_0^10 + 4433256324091209/10205307038731*c_1100_0^9 + 757584699761375/10205307038731*c_1100_0^8 - 18418210518421340/10205307038731*c_1100_0^7 + 37697419828170367/10205307038731*c_1100_0^6 - 25670814534840513/10205307038731*c_1100_0^5 - 32001269559332195/10205307038731*c_1100_0^4 + 11492315137804295/1457901005533*c_1100_0^3 - 75829608707060398/10205307038731*c_1100_0^2 + 4738492870118144/1457901005533*c_1100_0 - 4949969865242525/10205307038731, c_0011_0 - 1, c_0011_1 + 258934317764/208271572219*c_1100_0^10 + 5768143948432/208271572219*c_1100_0^9 + 817038681869/208271572219*c_1100_0^8 - 24136789451728/208271572219*c_1100_0^7 + 49706611030129/208271572219*c_1100_0^6 - 34494216235431/208271572219*c_1100_0^5 - 41513450088940/208271572219*c_1100_0^4 + 106399015518259/208271572219*c_1100_0^3 - 100870473486720/208271572219*c_1100_0^2 + 44562641614096/208271572219*c_1100_0 - 6357167939366/208271572219, c_0011_5 - 722439997634/208271572219*c_1100_0^10 - 16101776856394/208271572219*c_1100_0^9 - 2475576642634/208271572219*c_1100_0^8 + 67082405342464/208271572219*c_1100_0^7 - 138333491021705/208271572219*c_1100_0^6 + 94820075386179/208271572219*c_1100_0^5 + 115728592741938/208271572219*c_1100_0^4 - 295492008213077/208271572219*c_1100_0^3 + 279122695857062/208271572219*c_1100_0^2 - 122668086925375/208271572219*c_1100_0 + 17841756411024/208271572219, c_0101_0 - 7870840/47626703*c_1100_0^10 - 178336009/47626703*c_1100_0^9 - 92785692/47626703*c_1100_0^8 + 699623258/47626703*c_1100_0^7 - 1242756798/47626703*c_1100_0^6 + 558314662/47626703*c_1100_0^5 + 1447990359/47626703*c_1100_0^4 - 2666078930/47626703*c_1100_0^3 + 2052328828/47626703*c_1100_0^2 - 622413772/47626703*c_1100_0 + 22007564/47626703, c_0101_1 - 483910505895/208271572219*c_1100_0^10 - 10771470539741/208271572219*c_1100_0^9 - 1332379506876/208271572219*c_1100_0^8 + 45330509232400/208271572219*c_1100_0^7 - 93520821418332/208271572219*c_1100_0^6 + 65194908137054/208271572219*c_1100_0^5 + 77302455314954/208271572219*c_1100_0^4 - 200167947225911/208271572219*c_1100_0^3 + 190094605539178/208271572219*c_1100_0^2 - 84383556015222/208271572219*c_1100_0 + 12332896718133/208271572219, c_0101_5 - 525414937880/208271572219*c_1100_0^10 - 11719638088865/208271572219*c_1100_0^9 - 2008269395054/208271572219*c_1100_0^8 + 48679063452279/208271572219*c_1100_0^7 - 99711080891269/208271572219*c_1100_0^6 + 67662928804913/208271572219*c_1100_0^5 + 84608554629913/208271572219*c_1100_0^4 - 212896635221247/208271572219*c_1100_0^3 + 200034265282086/208271572219*c_1100_0^2 - 87542837554946/208271572219*c_1100_0 + 12711615226711/208271572219, c_1100_0^11 + 22*c_1100_0^10 - 3*c_1100_0^9 - 94*c_1100_0^8 + 218*c_1100_0^7 - 186*c_1100_0^6 - 123*c_1100_0^5 + 455*c_1100_0^4 - 503*c_1100_0^3 + 280*c_1100_0^2 - 73*c_1100_0 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB