Magma V2.19-8 Tue Aug 20 2013 16:18:14 on localhost [Seed = 1629551704] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2445 geometric_solution 5.78975522 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 -0.522530200431 0.437315102056 0 0 3 2 0132 3201 0132 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 -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 1.504907013451 3.062090807744 4 3 1 5 0132 2031 0132 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 0 0 -1 0 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 0.203246694595 0.847140811525 2 4 6 1 1302 3201 0132 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 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 0.203246694595 0.847140811525 2 5 3 6 0132 1302 2310 1302 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 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 -0.370891194359 1.018727030333 6 6 2 4 1302 1023 0132 2031 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 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485704290415 0.650896694112 5 5 4 3 1023 2031 2031 0132 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 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 0.485704290415 0.650896694112 ==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' : negation(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' : 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' : negation(d['c_1010_4']), 'c_1100_5' : negation(d['c_1010_4']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1010_4']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_1010_4']), 'c_1100_2' : negation(d['c_1010_4']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_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_2']), 'c_0011_6' : 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_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(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_0011_5']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_1010_4'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_3, c_0011_5, c_0101_0, c_0101_1, c_1010_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 310438637199908118999041/2116787933930534993504*c_1010_4^14 - 1056124149537363960284069/529196983482633748376*c_1010_4^13 + 193421691708014694811631/18248171844228749944*c_1010_4^12 - 46858000966049322062013567/2116787933930534993504*c_1010_4^11 - 7534819368923465588962075/2116787933930534993504*c_1010_4^10 + 140593322634980515453367731/2116787933930534993504*c_1010_4^9 + 15733250165704413452882049/2116787933930534993504*c_1010_4^8 - 283561869907875565798144857/2116787933930534993504*c_1010_4^7 - 548378811326992453617792899/2116787933930534993504*c_1010_4^6 - 447219175607148332423848223/2116787933930534993504*c_1010_4^5 - 78442433447192564255169511/1058393966965267496752*c_1010_4^4 + 447679556944835595616815/2116787933930534993504*c_1010_4^3 + 57527847459880131317875857/2116787933930534993504*c_1010_4^2 + 45191154592741629654139819/2116787933930534993504*c_1010_4 + 14789694918054566221975515/2116787933930534993504, c_0011_0 - 1, c_0011_2 + 45790342456050386189/1058393966965267496752*c_1010_4^14 - 79267791340016901511/132299245870658437094*c_1010_4^13 + 432961374008225337523/132299245870658437094*c_1010_4^12 - 7768211610313825982487/1058393966965267496752*c_1010_4^11 + 893714748919344328025/1058393966965267496752*c_1010_4^10 + 20156919643796278147099/1058393966965267496752*c_1010_4^9 - 2226992285132861219899/1058393966965267496752*c_1010_4^8 - 40806641881280270619649/1058393966965267496752*c_1010_4^7 - 71679574373062436355615/1058393966965267496752*c_1010_4^6 - 49322982039196824160399/1058393966965267496752*c_1010_4^5 - 6442120041610542681787/529196983482633748376*c_1010_4^4 + 1292648637496483623131/1058393966965267496752*c_1010_4^3 + 7529283759769685923465/1058393966965267496752*c_1010_4^2 + 5360392300802813472199/1058393966965267496752*c_1010_4 + 42746546408428480951/36496343688457499888, c_0011_3 + 45790342456050386189/1058393966965267496752*c_1010_4^14 - 79267791340016901511/132299245870658437094*c_1010_4^13 + 432961374008225337523/132299245870658437094*c_1010_4^12 - 7768211610313825982487/1058393966965267496752*c_1010_4^11 + 893714748919344328025/1058393966965267496752*c_1010_4^10 + 20156919643796278147099/1058393966965267496752*c_1010_4^9 - 2226992285132861219899/1058393966965267496752*c_1010_4^8 - 40806641881280270619649/1058393966965267496752*c_1010_4^7 - 71679574373062436355615/1058393966965267496752*c_1010_4^6 - 49322982039196824160399/1058393966965267496752*c_1010_4^5 - 6442120041610542681787/529196983482633748376*c_1010_4^4 + 1292648637496483623131/1058393966965267496752*c_1010_4^3 + 7529283759769685923465/1058393966965267496752*c_1010_4^2 + 5360392300802813472199/1058393966965267496752*c_1010_4 + 42746546408428480951/36496343688457499888, c_0011_5 - 1168898003445696795/529196983482633748376*c_1010_4^14 + 9086495085057817697/264598491741316874188*c_1010_4^13 - 60081970275484231815/264598491741316874188*c_1010_4^12 + 410043581316220820651/529196983482633748376*c_1010_4^11 - 720068078139887117851/529196983482633748376*c_1010_4^10 + 472179386339936493633/529196983482633748376*c_1010_4^9 + 257516290869820427153/529196983482633748376*c_1010_4^8 - 544126294355505630451/529196983482633748376*c_1010_4^7 + 1314716046085013464117/529196983482633748376*c_1010_4^6 + 1111522955065071314695/529196983482633748376*c_1010_4^5 + 1296903945957587178733/264598491741316874188*c_1010_4^4 + 1738418977345338442455/529196983482633748376*c_1010_4^3 + 171646114441172922659/529196983482633748376*c_1010_4^2 - 37259849553664445965/529196983482633748376*c_1010_4 - 2554919262956516711/18248171844228749944, c_0101_0 + 172503529762408/189540466863407503*c_1010_4^14 - 3108677740150168/189540466863407503*c_1010_4^13 + 23454404108761620/189540466863407503*c_1010_4^12 - 89712371906485998/189540466863407503*c_1010_4^11 + 157459135919320857/189540466863407503*c_1010_4^10 - 4034055402812890/189540466863407503*c_1010_4^9 - 345712466869124951/189540466863407503*c_1010_4^8 + 106962443362220711/189540466863407503*c_1010_4^7 + 430180253169168569/189540466863407503*c_1010_4^6 + 291357642930879236/189540466863407503*c_1010_4^5 + 128923369097878435/189540466863407503*c_1010_4^4 + 2125598882824689/189540466863407503*c_1010_4^3 - 32565646869202161/189540466863407503*c_1010_4^2 - 118036587785984803/189540466863407503*c_1010_4 - 4252385943087173/6535878167703707, c_0101_1 - 37311602712326490175/529196983482633748376*c_1010_4^14 + 62852800577235707173/66149622935329218547*c_1010_4^13 - 328020784695617990752/66149622935329218547*c_1010_4^12 + 5194274583316227592021/529196983482633748376*c_1010_4^11 + 2140415439259441897325/529196983482633748376*c_1010_4^10 - 18146840124741006701113/529196983482633748376*c_1010_4^9 - 2844684075522813716231/529196983482633748376*c_1010_4^8 + 35275709317043899474523/529196983482633748376*c_1010_4^7 + 68606343558344581163557/529196983482633748376*c_1010_4^6 + 59283197934775971739333/529196983482633748376*c_1010_4^5 + 10283636991496922987413/264598491741316874188*c_1010_4^4 + 109019390673145063/529196983482633748376*c_1010_4^3 - 7700484613875768725755/529196983482633748376*c_1010_4^2 - 6268407493923972051589/529196983482633748376*c_1010_4 - 62480720927468357013/18248171844228749944, c_1010_4^15 - 13*c_1010_4^14 + 64*c_1010_4^13 - 107*c_1010_4^12 - 116*c_1010_4^11 + 438*c_1010_4^10 + 326*c_1010_4^9 - 882*c_1010_4^8 - 2322*c_1010_4^7 - 2516*c_1010_4^6 - 1383*c_1010_4^5 - 307*c_1010_4^4 + 186*c_1010_4^3 + 258*c_1010_4^2 + 136*c_1010_4 + 29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB