Magma V2.19-8 Tue Aug 20 2013 16:19:22 on localhost [Seed = 2227509633] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3473 geometric_solution 6.69384851 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 -1 0 1 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 0 0 0 0 0 0 0.498676862812 0.595661764212 0 4 0 2 0132 0132 2310 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.173680456485 0.987025855415 4 3 1 0 0213 3012 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.745125744517 0.871179179393 2 5 0 6 1230 0132 0132 0132 0 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 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 0.794994138410 0.834793033647 2 1 6 5 0213 0132 3012 1230 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 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 0.277444811949 1.129767678059 4 3 5 5 3012 0132 2031 1302 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 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 0.430954949828 0.586150777797 6 4 3 6 3012 1230 0132 1230 0 0 0 0 0 0 0 0 0 0 1 -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 0 -1 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 1.109342858699 0.790861353865 ==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' : negation(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' : negation(d['1']), 's_1_3' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0110_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : negation(d['c_0101_5'])})} 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_6, c_0101_1, c_0101_5, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 37550372677996295824505461/152451596109615806104413760*c_0110_5^18 + 48096363360384835766672547/76225798054807903052206880*c_0110_5^17 - 576736020409068439252256309/152451596109615806104413760*c_0110_5^16 - 794167954141782997534684851/76225798054807903052206880*c_0110_5^1\ 5 + 1704002633004087848138035407/76225798054807903052206880*c_0110_\ 5^14 + 21377204177689707662565037/324365098105565544903008*c_0110_5\ ^13 - 9616934486103942466586275171/152451596109615806104413760*c_01\ 10_5^12 - 31385647317446835216842764557/152451596109615806104413760\ *c_0110_5^11 + 312069851746752396948319521/324365098105565544903008\ 0*c_0110_5^10 + 27070100116401275563973868061/762257980548079030522\ 06880*c_0110_5^9 - 10317452918843577108858067927/762257980548079030\ 52206880*c_0110_5^8 - 30121665320201802958945161941/762257980548079\ 03052206880*c_0110_5^7 + 6309477103369985943817238377/3049031922192\ 3161220882752*c_0110_5^6 + 1283690999355841249702412039/43557598888\ 46165888697536*c_0110_5^5 - 10528126115189716328391111187/152451596\ 109615806104413760*c_0110_5^4 - 835805214675341936428941557/7622579\ 805480790305220688*c_0110_5^3 + 271765785050127308557629639/1905644\ 9513701975763051720*c_0110_5^2 + 2930017141535849160383749795/30490\ 319221923161220882752*c_0110_5 + 2902751988032664212080936913/76225\ 798054807903052206880, c_0011_0 - 1, c_0011_2 - 24456734088098792538421/3402937413161067100544950*c_0110_5^1\ 8 - 23454273189726050199042/1701468706580533550272475*c_0110_5^17 + 399916039477375457365089/3402937413161067100544950*c_0110_5^16 + 378818847497825708795796/1701468706580533550272475*c_0110_5^15 - 1306021507950724563891097/1701468706580533550272475*c_0110_5^14 - 1907036582424646073066/1448058473685560468317*c_0110_5^13 + 8670786120374551222559101/3402937413161067100544950*c_0110_5^12 + 12054076455015883464608527/3402937413161067100544950*c_0110_5^11 - 361178617510979161553711/72402923684278023415850*c_0110_5^10 - 7155827296036661953851681/1701468706580533550272475*c_0110_5^9 + 13342987231515089557736222/1701468706580533550272475*c_0110_5^8 + 1565490214107304940591376/1701468706580533550272475*c_0110_5^7 - 1381961487399791640387643/136117496526442684021798*c_0110_5^6 + 2811904187103127314995839/680587482632213420108990*c_0110_5^5 + 9721733901346821606873237/3402937413161067100544950*c_0110_5^4 - 1414237344734319099400029/340293741316106710054495*c_0110_5^3 - 385221273863995036558551/1701468706580533550272475*c_0110_5^2 + 278877381015793902263257/680587482632213420108990*c_0110_5 + 1148249197850505019444137/1701468706580533550272475, c_0011_3 - 3098625831255120157623/680587482632213420108990*c_0110_5^18 - 592356170305102562883/68058748263221342010899*c_0110_5^17 + 51134916347216749536359/680587482632213420108990*c_0110_5^16 + 47057638331689922688811/340293741316106710054495*c_0110_5^15 - 174550359842700903654297/340293741316106710054495*c_0110_5^14 - 5967682342208196036479/7240292368427802341585*c_0110_5^13 + 1283742380145329690343331/680587482632213420108990*c_0110_5^12 + 324083145806205096475539/136117496526442684021798*c_0110_5^11 - 62584862867134770520611/14480584736855604683170*c_0110_5^10 - 1264808916572012425368712/340293741316106710054495*c_0110_5^9 + 493880907846608433170666/68058748263221342010899*c_0110_5^8 + 1129622398477553728316172/340293741316106710054495*c_0110_5^7 - 5929216771044807065967513/680587482632213420108990*c_0110_5^6 - 222964187895144036074631/680587482632213420108990*c_0110_5^5 + 2719964205551010692799759/680587482632213420108990*c_0110_5^4 - 436348932953468325939644/340293741316106710054495*c_0110_5^3 - 485662859740655621798306/340293741316106710054495*c_0110_5^2 - 895889825460644164931973/680587482632213420108990*c_0110_5 + 178328187595935288016898/340293741316106710054495, c_0011_6 - 3061081170763624780151/3402937413161067100544950*c_0110_5^18 - 7241074204359438943097/1701468706580533550272475*c_0110_5^17 + 22875703491564975995169/3402937413161067100544950*c_0110_5^16 + 105390505808691334135216/1701468706580533550272475*c_0110_5^15 + 51202419758352253836188/1701468706580533550272475*c_0110_5^14 - 2315546153854163856834/7240292368427802341585*c_0110_5^13 - 1481048429734923243530179/3402937413161067100544950*c_0110_5^12 + 2179210083560688533587607/3402937413161067100544950*c_0110_5^11 + 108728173193883755048269/72402923684278023415850*c_0110_5^10 - 319370492337162089821081/1701468706580533550272475*c_0110_5^9 - 3396430466280488903415748/1701468706580533550272475*c_0110_5^8 - 741246550220035729881324/1701468706580533550272475*c_0110_5^7 + 866533925056312664772207/680587482632213420108990*c_0110_5^6 - 88224669639971516739907/680587482632213420108990*c_0110_5^5 - 5474590795853648305376763/3402937413161067100544950*c_0110_5^4 - 309577144084809856420478/340293741316106710054495*c_0110_5^3 + 966930535408687064876054/1701468706580533550272475*c_0110_5^2 + 307899892529629078126799/680587482632213420108990*c_0110_5 - 1123898967859600287795443/1701468706580533550272475, c_0101_1 + 1, c_0101_5 + 6954423379445049717983/3402937413161067100544950*c_0110_5^18 + 10777906975822634704596/1701468706580533550272475*c_0110_5^17 - 102566465190003246301937/3402937413161067100544950*c_0110_5^16 - 183381839904891172978168/1701468706580533550272475*c_0110_5^15 + 273751842066615922347301/1701468706580533550272475*c_0110_5^14 + 5198423471204997170066/7240292368427802341585*c_0110_5^13 - 1129380974589815271270033/3402937413161067100544950*c_0110_5^12 - 8199439152674467044391301/3402937413161067100544950*c_0110_5^11 + 1024987214877844035863/72402923684278023415850*c_0110_5^10 + 7638721965554231505345518/1701468706580533550272475*c_0110_5^9 + 1118126598783541914640464/1701468706580533550272475*c_0110_5^8 - 9028918924218474632119253/1701468706580533550272475*c_0110_5^7 - 253277347542085684286613/680587482632213420108990*c_0110_5^6 + 3241388364887879477826567/680587482632213420108990*c_0110_5^5 + 2339649702439020043028239/3402937413161067100544950*c_0110_5^4 - 855711463218503862942297/340293741316106710054495*c_0110_5^3 - 2292837344115235139989642/1701468706580533550272475*c_0110_5^2 + 663107996616729212818631/680587482632213420108990*c_0110_5 + 814281673624473746829434/1701468706580533550272475, c_0110_5^19 + 2*c_0110_5^18 - 17*c_0110_5^17 - 34*c_0110_5^16 + 118*c_0110_5^15 + 222*c_0110_5^14 - 431*c_0110_5^13 - 725*c_0110_5^12 + 951*c_0110_5^11 + 1318*c_0110_5^10 - 1558*c_0110_5^9 - 1434*c_0110_5^8 + 2049*c_0110_5^7 + 805*c_0110_5^6 - 1307*c_0110_5^5 - 216*c_0110_5^4 + 432*c_0110_5^3 + 291*c_0110_5^2 - 74*c_0110_5 - 112 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB