Magma V2.19-8 Tue Aug 20 2013 16:17:22 on localhost [Seed = 2648441169] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1606 geometric_solution 5.36734316 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 3201 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 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 -0.247409914000 0.127362118947 0 0 2 2 0132 2310 2310 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 -1 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 2.401767265172 1.563802778577 3 1 1 4 0132 3201 0132 0132 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 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 0.514520882223 0.653224049352 2 5 4 6 0132 0132 3201 0132 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 -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 0.007174260394 0.984853701609 3 6 2 5 2310 0132 0132 2310 0 0 0 0 0 0 -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 -1 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 0.007174260394 0.984853701609 4 3 5 5 3201 0132 2031 1302 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372848945288 0.362818203939 6 4 3 6 3012 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.491501988625 0.883687215700 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(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' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], '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_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), '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_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_4, c_0101_0, c_0101_1, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 32 Groebner basis: [ t + 16756200087873989203744809702040/31577993520946204034998465030827*c\ _0110_5^31 + 199409650471431140363723937418966/10525997840315401344\ 999488343609*c_0110_5^29 - 1390109503206185148879462551625010/31577\ 993520946204034998465030827*c_0110_5^27 - 53642619378653081106628033502382034/3157799352094620403499846503082\ 7*c_0110_5^25 - 172233954189846968811329900616274406/31577993520946\ 204034998465030827*c_0110_5^23 + 4701917403674666039213421956108470\ 30/31577993520946204034998465030827*c_0110_5^21 + 337875031179482718673131935901708308/350866594677180044833316278120\ 3*c_0110_5^19 + 2118200775134238301947128318326685903/3157799352094\ 6204034998465030827*c_0110_5^17 - 116558474491057111156248747435721\ 51567/31577993520946204034998465030827*c_0110_5^15 - 21845635794595074772149072567469669645/3157799352094620403499846503\ 0827*c_0110_5^13 - 1262439435044492214825415681156289402/1052599784\ 0315401344999488343609*c_0110_5^11 + 12887735781176085422713974855791038264/3157799352094620403499846503\ 0827*c_0110_5^9 + 5720375874169824737316870903349348241/31577993520\ 946204034998465030827*c_0110_5^7 + 2485472323873014107358847051546081508/31577993520946204034998465030\ 827*c_0110_5^5 - 1628573224741681825796539252390462/230496303072600\ 029452543540371*c_0110_5^3 - 17928272635164832741669047030829592/10\ 525997840315401344999488343609*c_0110_5, c_0011_0 - 1, c_0011_2 + 3325592069284298028756497452/76832101024200009817514513457*c\ _0110_5^30 - 885895244452687787038817743/76832101024200009817514513\ 457*c_0110_5^28 - 269250758137065045996444066688/768321010242000098\ 17514513457*c_0110_5^26 - 319740122414400023817086797950/2561070034\ 1400003272504837819*c_0110_5^24 + 2359864557245142100856468503976/7\ 6832101024200009817514513457*c_0110_5^22 + 5346285729701834941903801592565/25610700341400003272504837819*c_011\ 0_5^20 + 10019319568694178497380373788523/7683210102420000981751451\ 3457*c_0110_5^18 - 64002460122425365536867101063470/768321010242000\ 09817514513457*c_0110_5^16 - 35880235841589273219352013453342/25610\ 700341400003272504837819*c_0110_5^14 + 564652297326395817933308518617/25610700341400003272504837819*c_0110\ _5^12 + 74639604365474331310570161998302/76832101024200009817514513\ 457*c_0110_5^10 + 17099196619501720868274981335851/7683210102420000\ 9817514513457*c_0110_5^8 + 8233450435254192038287547537524/76832101\ 024200009817514513457*c_0110_5^6 - 1435798091898787353391795017745/25610700341400003272504837819*c_011\ 0_5^4 - 151344707617224683769257075935/7683210102420000981751451345\ 7*c_0110_5^2 + 9013511488143405360689827502/76832101024200009817514\ 513457, c_0011_4 - 7423854334423163372832284494045/1052599784031540134499948834\ 3609*c_0110_5^31 + 852635638887872752216478534150/10525997840315401\ 344999488343609*c_0110_5^29 + 601186175217330066542326483030132/105\ 25997840315401344999488343609*c_0110_5^27 + 2232343112600215282921729665196562/10525997840315401344999488343609\ *c_0110_5^25 - 1643172904705074777585167623580848/35086659467718004\ 48333162781203*c_0110_5^23 - 36545217883649846446375486717178051/10\ 525997840315401344999488343609*c_0110_5^21 - 27887693649844182209663642876557033/1052599784031540134499948834360\ 9*c_0110_5^19 + 138593008021139090684002618359787900/10525997840315\ 401344999488343609*c_0110_5^17 + 2609820381509253041959307373613866\ 95/10525997840315401344999488343609*c_0110_5^15 + 35597157232411407680804954901206675/1052599784031540134499948834360\ 9*c_0110_5^13 - 160031387499385040831020617685464485/10525997840315\ 401344999488343609*c_0110_5^11 - 6030257267277520095635272420883888\ 2/10525997840315401344999488343609*c_0110_5^9 - 9025768682378301326574185017660275/3508665946771800448333162781203*\ c_0110_5^7 + 4301369731361714356867411395381857/1052599784031540134\ 4999488343609*c_0110_5^5 + 971804955266806071444422689921/256107003\ 41400003272504837819*c_0110_5^3 - 56620941218385985999720948273540/\ 10525997840315401344999488343609*c_0110_5, c_0101_0 + 10980172023235649126647047827963/105259978403154013449994883\ 43609*c_0110_5^31 - 898677094737784071945684762578/1052599784031540\ 1344999488343609*c_0110_5^29 - 889208980233994286211433889498396/10\ 525997840315401344999488343609*c_0110_5^27 - 1110357877848863214578716218229929/3508665946771800448333162781203*\ c_0110_5^25 + 7181118346158642197304275294636911/105259978403154013\ 44999488343609*c_0110_5^23 + 18096468518666118672664518044934376/35\ 08665946771800448333162781203*c_0110_5^21 + 43038584201469829129669371765651718/1052599784031540134499948834360\ 9*c_0110_5^19 - 203572135652621596476116462585242346/10525997840315\ 401344999488343609*c_0110_5^17 - 1309125377041087305795353366786873\ 46/3508665946771800448333162781203*c_0110_5^15 - 21864650686198264088358302396795118/3508665946771800448333162781203\ *c_0110_5^13 + 234620285022526921315299917758702175/105259978403154\ 01344999488343609*c_0110_5^11 + 97015096279169983070680615487901386\ /10525997840315401344999488343609*c_0110_5^9 + 43212088281334086485027150320670213/1052599784031540134499948834360\ 9*c_0110_5^7 - 1669879896435926999410763935398772/35086659467718004\ 48333162781203*c_0110_5^5 - 5734121551788016147528255081825/7683210\ 1024200009817514513457*c_0110_5^3 + 50519016152963230080029299285972/10525997840315401344999488343609*c\ _0110_5, c_0101_1 + 6627039812070185946762191731/76832101024200009817514513457*c\ _0110_5^30 + 534070609187178658360682299/76832101024200009817514513\ 457*c_0110_5^28 - 536603740586947625952925280926/768321010242000098\ 17514513457*c_0110_5^26 - 2097642679446764520337977493352/768321010\ 24200009817514513457*c_0110_5^24 + 1331460127286258777943560978220/25610700341400003272504837819*c_011\ 0_5^22 + 33420499783927579847107274852498/7683210102420000981751451\ 3457*c_0110_5^20 + 31403204734293988859019754808518/768321010242000\ 09817514513457*c_0110_5^18 - 117839274488896030178434095518794/7683\ 2101024200009817514513457*c_0110_5^16 - 256331834030833833852254749025153/76832101024200009817514513457*c_0\ 110_5^14 - 81081563873389885455588238348016/76832101024200009817514\ 513457*c_0110_5^12 + 129266133358855646781972013872329/768321010242\ 00009817514513457*c_0110_5^10 + 80385758729751343221802648410874/76\ 832101024200009817514513457*c_0110_5^8 + 13012586614415975803609116855941/25610700341400003272504837819*c_01\ 10_5^6 + 2777272527843147623225427243337/76832101024200009817514513\ 457*c_0110_5^4 - 80655897381053400725502069791/25610700341400003272\ 504837819*c_0110_5^2 - 81781016410976491694174133437/76832101024200\ 009817514513457, c_0101_3 - 6088461794422785505858246175/76832101024200009817514513457*c\ _0110_5^30 + 1628738036873524578919974197/7683210102420000981751451\ 3457*c_0110_5^28 + 493004972169616907942639038109/76832101024200009\ 817514513457*c_0110_5^26 + 585185137447492802963908449692/256107003\ 41400003272504837819*c_0110_5^24 - 4327672577693446848395040558520/76832101024200009817514513457*c_011\ 0_5^22 - 9792460472707857863797047237830/25610700341400003272504837\ 819*c_0110_5^20 - 18262145173767074295613880034031/7683210102420000\ 9817514513457*c_0110_5^18 + 117510110031372357115395251659544/76832\ 101024200009817514513457*c_0110_5^16 + 65702653026533722048615471476835/25610700341400003272504837819*c_01\ 10_5^14 - 1546136379929425559668751284290/2561070034140000327250483\ 7819*c_0110_5^12 - 138727707657738194622605622146708/76832101024200\ 009817514513457*c_0110_5^10 - 30807465197380857223742765887406/7683\ 2101024200009817514513457*c_0110_5^8 - 13229697894319195430473452665243/76832101024200009817514513457*c_01\ 10_5^6 + 2724343165876861320729089602106/25610700341400003272504837\ 819*c_0110_5^4 + 293566632473744682607034327621/7683210102420000981\ 7514513457*c_0110_5^2 - 81021924424432427915009562700/7683210102420\ 0009817514513457, c_0110_5^32 - 81*c_0110_5^28 - 310*c_0110_5^26 + 630*c_0110_5^24 + 5001*c_0110_5^22 + 4318*c_0110_5^20 - 18270*c_0110_5^18 - 37330*c_0110_5^16 - 8717*c_0110_5^14 + 21260*c_0110_5^12 + 10680*c_0110_5^10 + 4448*c_0110_5^8 - 243*c_0110_5^6 - 156*c_0110_5^4 - c_0110_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB