Magma V2.19-8 Wed Aug 21 2013 01:04:00 on localhost [Seed = 1174429203] Type ? for help. Type -D to quit. Loading file "L14n23973__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n23973 geometric_solution 11.63435440 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 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 0.247306681902 0.645647733105 0 5 7 6 0132 0132 0132 0132 1 1 0 1 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 1 -1 0 0 0 0 0 -1 3 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.915676483838 0.914261902047 6 0 8 5 0132 0132 0132 0132 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 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 -0.246060462153 1.525568134421 5 6 9 0 0132 0132 0132 0132 1 1 0 1 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 -3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.610601179666 0.515847389010 10 8 0 11 0132 3012 0132 0132 1 1 1 1 0 1 0 -1 1 0 0 -1 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 -3 -1 4 -3 0 0 3 0 -4 0 4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.994929583646 1.532223621802 3 1 2 12 0132 0132 0132 0132 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.081996745082 0.624774743554 2 3 1 12 0132 0132 0132 0321 1 1 1 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.310664752636 0.586994384724 10 11 11 1 3120 2031 2310 0132 1 1 1 1 0 0 0 0 -1 0 1 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 3 0 -3 0 1 -1 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.408152341061 1.064050476926 4 11 9 2 1230 0321 0321 0132 1 1 1 1 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 4 0 -4 0 -1 1 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469727177984 0.390538360511 10 12 8 3 2031 0321 0321 0132 1 1 1 1 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660601724642 0.550511651525 4 12 9 7 0132 1023 1302 3120 1 1 1 1 0 -1 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 4 0 -4 3 0 0 -3 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.573562454991 0.779110967823 7 7 4 8 1302 3201 0132 0321 1 1 1 1 0 -1 1 0 0 0 1 -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 4 -4 0 0 0 -3 3 1 0 0 -1 1 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.685744584719 0.819261807091 10 6 5 9 1023 0321 0132 0321 1 1 1 1 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 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.226428542501 1.868872144978 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_8']), 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_8']), 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_1001_3'], 'c_1010_11' : negation(d['c_0011_8']), 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : negation(d['c_0011_7']), 'c_0101_10' : negation(d['c_0011_7']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_1001_9'], 'c_1100_4' : d['c_1001_8'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_1001_8'], 'c_1100_3' : d['c_1001_8'], 'c_1100_2' : d['c_1001_9'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_8'], 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_8']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0011_8']), 'c_1100_8' : d['c_1001_9'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_1001_9'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_7'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_8']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_8'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_10']), 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_12, c_0101_7, c_1001_0, c_1001_3, c_1001_8, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 220903359522607999922775711492932/8837167414526370595861592327747*c\ _1001_9^11 - 2587069692393488558157565199397533/8837167414526370595\ 861592327747*c_1001_9^10 + 5794196130973267561437827000019253/17674\ 334829052741191723184655494*c_1001_9^9 + 31997648648714094132228136434770335/1767433482905274119172318465549\ 4*c_1001_9^8 - 1811755176590244734460186427925307/93022814889751269\ 4301220245026*c_1001_9^7 - 29527773539366587487695709823483681/1767\ 4334829052741191723184655494*c_1001_9^6 - 35022110146212625656725762450212077/1767433482905274119172318465549\ 4*c_1001_9^5 - 82666740046024018632392746471374665/8837167414526370\ 595861592327747*c_1001_9^4 - 48673944828679265492155616214034691/17\ 674334829052741191723184655494*c_1001_9^3 - 60157669752984577182744770401329171/8837167414526370595861592327747\ *c_1001_9^2 - 32179322292004098043773422680801539/17674334829052741\ 191723184655494*c_1001_9 - 6104548887426060624932588308697583/17674\ 334829052741191723184655494, c_0011_0 - 1, c_0011_10 + 3260545363137303939544/45714211032935580998699*c_1001_9^11 - 43764339534785716876742/45714211032935580998699*c_1001_9^10 + 118434382691192806244521/45714211032935580998699*c_1001_9^9 + 24631641114859327090722/45714211032935580998699*c_1001_9^8 - 291850151012067751299013/45714211032935580998699*c_1001_9^7 + 365170679532302113733494/45714211032935580998699*c_1001_9^6 - 976809357667721955429007/45714211032935580998699*c_1001_9^5 + 342568463033224209901098/45714211032935580998699*c_1001_9^4 - 846353214208354908640875/45714211032935580998699*c_1001_9^3 + 73604910569728847721788/45714211032935580998699*c_1001_9^2 - 216280386798377117612338/45714211032935580998699*c_1001_9 - 13425716825479540073170/45714211032935580998699, c_0011_11 + 2143093980737297662672/45714211032935580998699*c_1001_9^11 - 29180774176349518947380/45714211032935580998699*c_1001_9^10 + 84279011542892064288702/45714211032935580998699*c_1001_9^9 - 10116300416201000591022/45714211032935580998699*c_1001_9^8 - 168614541223294694053147/45714211032935580998699*c_1001_9^7 + 302775497052485507305935/45714211032935580998699*c_1001_9^6 - 780214495512809886811227/45714211032935580998699*c_1001_9^5 + 402060554361300911673202/45714211032935580998699*c_1001_9^4 - 753771259758502801319277/45714211032935580998699*c_1001_9^3 + 94957361720478568176532/45714211032935580998699*c_1001_9^2 - 240914159270228533635173/45714211032935580998699*c_1001_9 - 27505198209765342507737/45714211032935580998699, c_0011_7 - 1281022380949657740200/45714211032935580998699*c_1001_9^11 + 16766120937805141471386/45714211032935580998699*c_1001_9^10 - 40855341941102237628935/45714211032935580998699*c_1001_9^9 - 24191582789862097776406/45714211032935580998699*c_1001_9^8 + 107811549081023415838455/45714211032935580998699*c_1001_9^7 - 102580522346388490760112/45714211032935580998699*c_1001_9^6 + 344112268289834051218080/45714211032935580998699*c_1001_9^5 - 31603119368387858156971/45714211032935580998699*c_1001_9^4 + 318687431568545140288193/45714211032935580998699*c_1001_9^3 + 98951309403858760408971/45714211032935580998699*c_1001_9^2 + 93693757455078364678143/45714211032935580998699*c_1001_9 + 20983718476026808116895/45714211032935580998699, c_0011_8 + 261918245053591308560/45714211032935580998699*c_1001_9^11 - 4054835702538029013108/45714211032935580998699*c_1001_9^10 + 15904849639710187536826/45714211032935580998699*c_1001_9^9 - 6251235354947599075230/45714211032935580998699*c_1001_9^8 - 57603919643191795405406/45714211032935580998699*c_1001_9^7 + 63748253864155062342451/45714211032935580998699*c_1001_9^6 - 43531756049829896151455/45714211032935580998699*c_1001_9^5 + 99939351399000316175114/45714211032935580998699*c_1001_9^4 + 72393313025396181535331/45714211032935580998699*c_1001_9^3 + 108086105640459327876451/45714211032935580998699*c_1001_9^2 + 71256159129486354690243/45714211032935580998699*c_1001_9 + 43696287768627828918036/45714211032935580998699, c_0101_0 + 48000338120341471204/578660899151083303781*c_1001_9^11 - 629856963594473359565/578660899151083303781*c_1001_9^10 + 3138215460526955574641/1157321798302166607562*c_1001_9^9 + 1245724594276179469401/1157321798302166607562*c_1001_9^8 - 6814305914863479529553/1157321798302166607562*c_1001_9^7 + 8083000370961987542279/1157321798302166607562*c_1001_9^6 - 29529188053188004279365/1157321798302166607562*c_1001_9^5 + 3852524577822643154659/578660899151083303781*c_1001_9^4 - 34059078491049673649075/1157321798302166607562*c_1001_9^3 - 581121687176717527092/578660899151083303781*c_1001_9^2 - 12531400202552614210477/1157321798302166607562*c_1001_9 - 2022657663107827603615/1157321798302166607562, c_0101_1 - 1, c_0101_12 - 1674532280048650627304/45714211032935580998699*c_1001_9^11 + 22246194915307570110538/45714211032935580998699*c_1001_9^10 - 58010306822865855999095/45714211032935580998699*c_1001_9^9 - 17433252461756461253922/45714211032935580998699*c_1001_9^8 + 139447218724466962340511/45714211032935580998699*c_1001_9^7 - 171998200135631513175556/45714211032935580998699*c_1001_9^6 + 500459690732246251181040/45714211032935580998699*c_1001_9^5 - 140638171067414017860153/45714211032935580998699*c_1001_9^4 + 480783439426562746464255/45714211032935580998699*c_1001_9^3 + 67778653990574355443883/45714211032935580998699*c_1001_9^2 + 145775854714177946810321/45714211032935580998699*c_1001_9 + 39852197887983651765160/45714211032935580998699, c_0101_7 + 5283996862545592346560/45714211032935580998699*c_1001_9^11 - 70366941549114975934584/45714211032935580998699*c_1001_9^10 + 184463857422470049292266/45714211032935580998699*c_1001_9^9 + 60126117217637560222937/45714211032935580998699*c_1001_9^8 - 469491751407740458013962/45714211032935580998699*c_1001_9^7 + 545137405292505415781528/45714211032935580998699*c_1001_9^6 - 1518732200367228799442763/45714211032935580998699*c_1001_9^5 + 375217484125628144188209/45714211032935580998699*c_1001_9^4 - 1301354811990176434259372/45714211032935580998699*c_1001_9^3 - 38837824292198046081290/45714211032935580998699*c_1001_9^2 - 328329488429849001280697/45714211032935580998699*c_1001_9 - 27505675803217565057835/45714211032935580998699, c_1001_0 - 2118806079406325350880/45714211032935580998699*c_1001_9^11 + 29018159065527990306252/45714211032935580998699*c_1001_9^10 - 85554016233733078162849/45714211032935580998699*c_1001_9^9 + 31610885630158253901343/91428422065871161997398*c_1001_9^8 + 167991440963958422939037/45714211032935580998699*c_1001_9^7 - 617199029411837494002303/91428422065871161997398*c_1001_9^6 + 777699632762299052895247/45714211032935580998699*c_1001_9^5 - 906579253799973599248355/91428422065871161997398*c_1001_9^4 + 1594247074918276138665053/91428422065871161997398*c_1001_9^3 - 178956977930099230658808/45714211032935580998699*c_1001_9^2 + 298358464698903128997464/45714211032935580998699*c_1001_9 - 14758346302173121698727/91428422065871161997398, c_1001_3 + 1025670368858939175248/45714211032935580998699*c_1001_9^11 - 12647343292919932662932/45714211032935580998699*c_1001_9^10 + 20985480337811784351078/45714211032935580998699*c_1001_9^9 + 65011418395143645360432/45714211032935580998699*c_1001_9^8 - 126221827045377158756730/45714211032935580998699*c_1001_9^7 - 13449059128833383918768/45714211032935580998699*c_1001_9^6 - 26736292862165417419686/45714211032935580998699*c_1001_9^5 - 342962087726670529708324/45714211032935580998699*c_1001_9^4 + 59803102908656639233708/45714211032935580998699*c_1001_9^3 - 239822622238069277495955/45714211032935580998699*c_1001_9^2 + 20780349308367362274980/45714211032935580998699*c_1001_9 - 6380847578056750225153/45714211032935580998699, c_1001_8 + 2851407444956945974864/45714211032935580998699*c_1001_9^11 - 36902302691818754113756/45714211032935580998699*c_1001_9^10 + 84919756928562999994032/45714211032935580998699*c_1001_9^9 + 74762693046795346950191/45714211032935580998699*c_1001_9^8 - 253860094842577408545725/45714211032935580998699*c_1001_9^7 + 193437189601703733857216/45714211032935580998699*c_1001_9^6 - 675309520119086894289997/45714211032935580998699*c_1001_9^5 - 139588575888220318650181/45714211032935580998699*c_1001_9^4 - 532572229423813917179217/45714211032935580998699*c_1001_9^3 - 292959220001626190691668/45714211032935580998699*c_1001_9^2 - 105917295067259610419600/45714211032935580998699*c_1001_9 - 64241537229824553633480/45714211032935580998699, c_1001_9^12 - 53/4*c_1001_9^11 + 273/8*c_1001_9^10 + 99/8*c_1001_9^9 - 171/2*c_1001_9^8 + 813/8*c_1001_9^7 - 1157/4*c_1001_9^6 + 54*c_1001_9^5 - 264*c_1001_9^4 - 321/8*c_1001_9^3 - 639/8*c_1001_9^2 - 163/8*c_1001_9 - 19/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.310 Total time: 0.520 seconds, Total memory usage: 32.09MB