Magma V2.19-8 Tue Aug 20 2013 16:16:47 on localhost [Seed = 3650635024] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1065 geometric_solution 4.93656078 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 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 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 -0.004930339141 0.705084171507 0 1 0 1 0132 2310 2310 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 -0.839142081548 0.845030342879 4 3 5 0 0132 3012 0132 0132 0 0 0 0 0 -1 -1 2 1 0 -1 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 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 1.480459097118 1.125526869844 2 4 0 5 1230 2310 0132 2310 0 0 0 0 0 1 -2 1 -1 0 0 1 -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 -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 1.480459097118 1.125526869844 2 4 4 3 0132 1230 3012 3201 0 0 0 0 0 -1 0 1 -1 0 1 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.915800119022 0.634802794070 3 6 6 2 3201 0132 3201 0132 0 0 0 0 0 -1 0 1 -1 0 0 1 -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 1 0 -1 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 0.024462531686 0.404495985153 5 5 6 6 2310 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 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 2.314745124228 0.936760828669 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(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_1100_6' : d['c_0011_2'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], '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_2']), 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0011_2'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 2099267565643480/200484143478769*c_0101_6^12 - 6219879082229932/601452430436307*c_0101_6^11 - 113644058506064764/601452430436307*c_0101_6^10 - 320521067027233442/601452430436307*c_0101_6^9 - 523365525309429685/601452430436307*c_0101_6^8 - 593163324461102392/601452430436307*c_0101_6^7 - 196753552185688865/200484143478769*c_0101_6^6 - 176699077139355070/200484143478769*c_0101_6^5 - 139296467539058760/200484143478769*c_0101_6^4 - 272960527830453544/601452430436307*c_0101_6^3 - 185354740414942273/601452430436307*c_0101_6^2 - 69283369338126713/601452430436307*c_0101_6 - 11752179509040728/601452430436307, c_0011_0 - 1, c_0011_2 - 246292807336/6467230434799*c_0101_6^12 - 98758212836/19401691304397*c_0101_6^11 + 12808609644532/19401691304397*c_0101_6^10 + 54547833754298/19401691304397*c_0101_6^9 + 126233034608989/19401691304397*c_0101_6^8 + 196293537494446/19401691304397*c_0101_6^7 + 80578992407162/6467230434799*c_0101_6^6 + 80636518189469/6467230434799*c_0101_6^5 + 68819823343721/6467230434799*c_0101_6^4 + 153321011817745/19401691304397*c_0101_6^3 + 107150539340311/19401691304397*c_0101_6^2 + 66979204459055/19401691304397*c_0101_6 + 23272468441922/19401691304397, c_0011_5 - 4381407913136/19401691304397*c_0101_6^12 + 8059922386768/19401691304397*c_0101_6^11 + 73972574191544/19401691304397*c_0101_6^10 + 159285872242612/19401691304397*c_0101_6^9 + 194927815384600/19401691304397*c_0101_6^8 + 45115575184454/6467230434799*c_0101_6^7 + 34827702445638/6467230434799*c_0101_6^6 + 22974886803974/6467230434799*c_0101_6^5 + 33393357005779/19401691304397*c_0101_6^4 - 17122211537402/19401691304397*c_0101_6^3 - 15201268960954/19401691304397*c_0101_6^2 - 45334586150413/19401691304397*c_0101_6 - 8542519213201/6467230434799, c_0101_0 - 13252637100536/19401691304397*c_0101_6^12 + 4552152666524/6467230434799*c_0101_6^11 + 79550205150472/6467230434799*c_0101_6^10 + 221685268865634/6467230434799*c_0101_6^9 + 1068930038007695/19401691304397*c_0101_6^8 + 394362565546671/6467230434799*c_0101_6^7 + 388406296693072/6467230434799*c_0101_6^6 + 349199660416736/6467230434799*c_0101_6^5 + 831706965326326/19401691304397*c_0101_6^4 + 178757660370764/6467230434799*c_0101_6^3 + 119014243239296/6467230434799*c_0101_6^2 + 132797111042329/19401691304397*c_0101_6 + 4820091907608/6467230434799, c_0101_1 - 5874824546120/19401691304397*c_0101_6^12 + 9642561088964/19401691304397*c_0101_6^11 + 98780892137900/19401691304397*c_0101_6^10 + 233842274159746/19401691304397*c_0101_6^9 + 355580098595851/19401691304397*c_0101_6^8 + 392468851517834/19401691304397*c_0101_6^7 + 137019711965035/6467230434799*c_0101_6^6 + 114692604665100/6467230434799*c_0101_6^5 + 250727701244956/19401691304397*c_0101_6^4 + 160365167935037/19401691304397*c_0101_6^3 + 121505556702908/19401691304397*c_0101_6^2 + 24776968977209/19401691304397*c_0101_6 + 11472741374254/19401691304397, c_0101_2 + 5009064459868/19401691304397*c_0101_6^12 - 11835950470432/19401691304397*c_0101_6^11 - 78628580852860/19401691304397*c_0101_6^10 - 139693085869469/19401691304397*c_0101_6^9 - 148436369194013/19401691304397*c_0101_6^8 - 79413244480654/19401691304397*c_0101_6^7 - 21697396665761/6467230434799*c_0101_6^6 - 3765940231605/6467230434799*c_0101_6^5 - 10784514083993/19401691304397*c_0101_6^4 + 11355795717455/19401691304397*c_0101_6^3 - 8648611689355/19401691304397*c_0101_6^2 + 51876506274338/19401691304397*c_0101_6 - 1011659998151/19401691304397, c_0101_6^13 - c_0101_6^12 - 18*c_0101_6^11 - 203/4*c_0101_6^10 - 83*c_0101_6^9 - 94*c_0101_6^8 - 373/4*c_0101_6^7 - 333/4*c_0101_6^6 - 263/4*c_0101_6^5 - 43*c_0101_6^4 - 117/4*c_0101_6^3 - 43/4*c_0101_6^2 - 2*c_0101_6 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB