Magma V2.19-8 Tue Aug 20 2013 16:17:44 on localhost [Seed = 1916006034] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1975 geometric_solution 5.54900919 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.497001750949 0.231745731844 0 2 2 0 3201 0132 1023 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 1 -1 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 1.146165011105 0.327293405648 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 -1 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702598871919 0.451287936189 2 4 6 5 0132 0321 0132 0132 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 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 0.711999285780 0.958373407848 6 5 2 3 1023 2310 0132 0321 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 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 0.711999285780 0.958373407848 5 5 3 4 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399176933639 0.601881546690 6 4 6 3 2310 1023 3201 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 -0.143739308211 0.975044668233 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : 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' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_1']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0011_1']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_2'], '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_4, c_0011_5, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t + 2188685608935224747/3066344325573160168*c_0101_3^14 + 7400793481853917353/1533172162786580084*c_0101_3^13 - 14574453316125387769/1533172162786580084*c_0101_3^12 - 525985011782102828725/3066344325573160168*c_0101_3^11 - 1116502843665562226521/3066344325573160168*c_0101_3^10 + 563021583657509336901/3066344325573160168*c_0101_3^9 + 283159257257124404628/383293040696645021*c_0101_3^8 + 37236597192340505747/766586081393290042*c_0101_3^7 + 170313512030722201737/383293040696645021*c_0101_3^6 + 1974150121993264568481/3066344325573160168*c_0101_3^5 - 1203872400044414880645/1533172162786580084*c_0101_3^4 + 459304559784680828497/3066344325573160168*c_0101_3^3 - 458164746568440692069/1533172162786580084*c_0101_3^2 + 45920029386627145461/3066344325573160168*c_0101_3 + 192360175540378590691/3066344325573160168, c_0011_0 - 1, c_0011_1 - 253674099548325/5851802148040382*c_0101_3^14 - 1132734018536966/2925901074020191*c_0101_3^13 - 421875365057594/2925901074020191*c_0101_3^12 + 63425506566025551/5851802148040382*c_0101_3^11 + 258020430897878933/5851802148040382*c_0101_3^10 + 348216935933100863/5851802148040382*c_0101_3^9 + 89590381944590148/2925901074020191*c_0101_3^8 + 93675305533554355/2925901074020191*c_0101_3^7 + 54375233725194808/2925901074020191*c_0101_3^6 - 213025828219823379/5851802148040382*c_0101_3^5 - 17715380454891669/2925901074020191*c_0101_3^4 - 56485040088100847/5851802148040382*c_0101_3^3 - 6510882087221076/2925901074020191*c_0101_3^2 + 22169645549124847/5851802148040382*c_0101_3 - 294266899013529/5851802148040382, c_0011_4 + 2239462884162954613/1533172162786580084*c_0101_2*c_0101_3^14 + 6381367986774600949/766586081393290042*c_0101_2*c_0101_3^13 - 17944758968395907321/766586081393290042*c_0101_2*c_0101_3^12 - 457403578067266736783/1533172162786580084*c_0101_2*c_0101_3^11 - 776113787840281651083/1533172162786580084*c_0101_2*c_0101_3^10 - 121991198120780365897/1533172162786580084*c_0101_2*c_0101_3^9 - 33471957739297510197/383293040696645021*c_0101_2*c_0101_3^8 - 76120043538310212296/383293040696645021*c_0101_2*c_0101_3^7 + 205168239664635006916/383293040696645021*c_0101_2*c_0101_3^6 - 8269954168127313933/1533172162786580084*c_0101_2*c_0101_3^5 + 62828714623424315191/766586081393290042*c_0101_2*c_0101_3^4 - 26072558380771764541/1533172162786580084*c_0101_2*c_0101_3^3 - 48538493178393767223/766586081393290042*c_0101_2*c_0101_3^2 - 1571961350095331217/1533172162786580084*c_0101_2*c_0101_3 + 2374251086447768357/1533172162786580084*c_0101_2, c_0011_5 - 2312796472568877825/1533172162786580084*c_0101_2*c_0101_3^14 - 6558988167387297741/766586081393290042*c_0101_2*c_0101_3^13 + 18783484750180790197/766586081393290042*c_0101_2*c_0101_3^12 + 472262653422742135571/1533172162786580084*c_0101_2*c_0101_3^11 + 786778137160803919331/1533172162786580084*c_0101_2*c_0101_3^10 + 73944184701865753621/1533172162786580084*c_0101_2*c_0101_3^9 + 18011623605289314971/383293040696645021*c_0101_2*c_0101_3^8 + 68538789988563748207/383293040696645021*c_0101_2*c_0101_3^7 - 221745466876096677391/383293040696645021*c_0101_2*c_0101_3^6 - 6577819938058977643/1533172162786580084*c_0101_2*c_0101_3^5 - 48007069240507426039/766586081393290042*c_0101_2*c_0101_3^4 + 39370367137449947965/1533172162786580084*c_0101_2*c_0101_3^3 + 56576931555105992945/766586081393290042*c_0101_2*c_0101_3^2 + 2602941693367554561/1533172162786580084*c_0101_2*c_0101_3 - 5930637048138797541/1533172162786580084*c_0101_2, c_0101_0 - 21432768691901195/11703604296080764*c_0101_2*c_0101_3^14 - 60446417806159005/5851802148040382*c_0101_2*c_0101_3^13 + 175244072827354765/5851802148040382*c_0101_2*c_0101_3^12 + 4356826527595920417/11703604296080764*c_0101_2*c_0101_3^11 + 7174494504810887393/11703604296080764*c_0101_2*c_0101_3^10 + 759167189530886323/11703604296080764*c_0101_2*c_0101_3^9 + 310578095019591322/2925901074020191*c_0101_2*c_0101_3^8 + 703666877290041870/2925901074020191*c_0101_2*c_0101_3^7 - 2007051813499090572/2925901074020191*c_0101_2*c_0101_3^6 + 567030483039643335/11703604296080764*c_0101_2*c_0101_3^5 - 617394235220663921/5851802148040382*c_0101_2*c_0101_3^4 + 352522418770074827/11703604296080764*c_0101_2*c_0101_3^3 + 462049877201012463/5851802148040382*c_0101_2*c_0101_3^2 - 26975005794183389/11703604296080764*c_0101_2*c_0101_3 - 46088309275783927/11703604296080764*c_0101_2, c_0101_2^2 + 8917277260952470/2925901074020191*c_0101_3^14 + 50897749967445061/2925901074020191*c_0101_3^13 - 142275703563367234/2925901074020191*c_0101_3^12 - 1821471808097753783/2925901074020191*c_0101_3^11 - 3109049383207788463/2925901074020191*c_0101_3^10 - 551239940390431463/2925901074020191*c_0101_3^9 - 610881674340495855/2925901074020191*c_0101_3^8 - 1255058768893143078/2925901074020191*c_0101_3^7 + 3209407116160537904/2925901074020191*c_0101_3^6 - 64113695937111005/2925901074020191*c_0101_3^5 + 532982462886346354/2925901074020191*c_0101_3^4 - 114092681540789656/2925901074020191*c_0101_3^3 - 373157878081022972/2925901074020191*c_0101_3^2 - 6461279427041383/2925901074020191*c_0101_3 + 11175600793387663/2925901074020191, c_0101_3^15 + 5*c_0101_3^14 - 20*c_0101_3^13 - 193*c_0101_3^12 - 204*c_0101_3^11 + 186*c_0101_3^10 - 23*c_0101_3^9 - 92*c_0101_3^8 + 460*c_0101_3^7 - 261*c_0101_3^6 + 63*c_0101_3^5 - 55*c_0101_3^4 - 33*c_0101_3^3 + 29*c_0101_3^2 + 2*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB