Magma V2.19-8 Tue Aug 20 2013 16:16:25 on localhost [Seed = 2084429968] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0702 geometric_solution 4.65678030 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.862313681214 0.272414572446 0 2 3 0 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.637825789560 0.890393453847 3 1 4 5 2310 0132 0132 0132 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 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 0 0 0 0.336596048100 0.349315228709 4 6 2 1 1023 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336596048100 0.349315228709 5 3 6 2 1230 1023 0321 0132 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 -1 0 1 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.950568550729 0.326543877641 6 4 2 6 3120 3012 0132 2310 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 2 -1 -1 -2 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 1.319293404582 1.134612167560 5 3 4 5 3201 0132 0321 3120 0 0 0 0 0 0 0 0 0 0 -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 -2 2 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.319293404582 1.134612167560 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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' : negation(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_0101_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), '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_0'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 68200729153016/4170489995*c_0101_4^13 + 540818187533692/4170489995*c_0101_4^12 + 438206716117932/595784285*c_0101_4^11 + 13757201560513917/4170489995*c_0101_4^10 + 42158895067366034/4170489995*c_0101_4^9 + 82332270625256224/4170489995*c_0101_4^8 + 14317971754521788/595784285*c_0101_4^7 + 75363858065715232/4170489995*c_0101_4^6 + 35717208562577324/4170489995*c_0101_4^5 + 2403030316421698/834097999*c_0101_4^4 + 3328682234455219/4170489995*c_0101_4^3 + 18302183592432/119156857*c_0101_4^2 + 79112091520799/4170489995*c_0101_4 + 15193620850978/4170489995, c_0011_0 - 1, c_0011_3 + 3651079515376/595784285*c_0101_4^13 + 28999318864672/595784285*c_0101_4^12 + 164567189913524/595784285*c_0101_4^11 + 738452374599202/595784285*c_0101_4^10 + 2265627540952559/595784285*c_0101_4^9 + 4433132290280899/595784285*c_0101_4^8 + 5411918851431256/595784285*c_0101_4^7 + 4084881092957222/595784285*c_0101_4^6 + 1943730481069234/595784285*c_0101_4^5 + 130988978440724/119156857*c_0101_4^4 + 181385199630674/595784285*c_0101_4^3 + 6988666608224/119156857*c_0101_4^2 + 4264602710679/595784285*c_0101_4 + 819235023988/595784285, c_0011_5 + 963098698064/595784285*c_0101_4^13 + 7673174235648/595784285*c_0101_4^12 + 43587525361356/595784285*c_0101_4^11 + 195777153114998/595784285*c_0101_4^10 + 601971015560601/595784285*c_0101_4^9 + 1182086945324401/595784285*c_0101_4^8 + 1450435222666094/595784285*c_0101_4^7 + 1101849817460868/595784285*c_0101_4^6 + 527533328699511/595784285*c_0101_4^5 + 35629119593627/119156857*c_0101_4^4 + 49460183554806/595784285*c_0101_4^3 + 1920630457892/119156857*c_0101_4^2 + 1160866805486/595784285*c_0101_4 + 226633077832/595784285, c_0101_0 - 2313191338024/595784285*c_0101_4^13 - 18375548196028/595784285*c_0101_4^12 - 104283460748136/595784285*c_0101_4^11 - 467966679466263/595784285*c_0101_4^10 - 1435904465386961/595784285*c_0101_4^9 - 2810101539402491/595784285*c_0101_4^8 - 3431424534694574/595784285*c_0101_4^7 - 2590984953898583/595784285*c_0101_4^6 - 1233488754235056/595784285*c_0101_4^5 - 83161028617342/119156857*c_0101_4^4 - 115176975224551/595784285*c_0101_4^3 - 4439593237218/119156857*c_0101_4^2 - 2708158122381/595784285*c_0101_4 - 519708515337/595784285, c_0101_1 - 2902800676528/595784285*c_0101_4^13 - 23057583251136/595784285*c_0101_4^12 - 130850560721052/595784285*c_0101_4^11 - 587168944121446/595784285*c_0101_4^10 - 1801552735161847/595784285*c_0101_4^9 - 3525293268136782/595784285*c_0101_4^8 - 4303956957584593/595784285*c_0101_4^7 - 3248858558816826/595784285*c_0101_4^6 - 1546035457766592/595784285*c_0101_4^5 - 104194319614690/119156857*c_0101_4^4 - 144294231879342/595784285*c_0101_4^3 - 5560700895326/119156857*c_0101_4^2 - 3392285495577/595784285*c_0101_4 - 651403217534/595784285, c_0101_3 + 963098698064/595784285*c_0101_4^13 + 7673174235648/595784285*c_0101_4^12 + 43587525361356/595784285*c_0101_4^11 + 195777153114998/595784285*c_0101_4^10 + 601971015560601/595784285*c_0101_4^9 + 1182086945324401/595784285*c_0101_4^8 + 1450435222666094/595784285*c_0101_4^7 + 1101849817460868/595784285*c_0101_4^6 + 527533328699511/595784285*c_0101_4^5 + 35629119593627/119156857*c_0101_4^4 + 49460183554806/595784285*c_0101_4^3 + 1920630457892/119156857*c_0101_4^2 + 1160866805486/595784285*c_0101_4 + 226633077832/595784285, c_0101_4^14 + 17/2*c_0101_4^13 + 99/2*c_0101_4^12 + 1819/8*c_0101_4^11 + 2933/4*c_0101_4^10 + 1560*c_0101_4^9 + 17271/8*c_0101_4^8 + 7779/4*c_0101_4^7 + 4623/4*c_0101_4^6 + 476*c_0101_4^5 + 1197/8*c_0101_4^4 + 149/4*c_0101_4^3 + 13/2*c_0101_4^2 + 7/8*c_0101_4 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB