Magma V2.19-8 Tue Aug 20 2013 16:17:04 on localhost [Seed = 1511769736] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1317 geometric_solution 5.20148296 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 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 0.480993794532 0.496417858166 0 3 2 4 0132 0132 1230 0132 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 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 0.658004463565 0.793254492596 3 0 4 1 3201 0132 3201 3012 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 -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 0.658004463565 0.793254492596 3 1 3 2 2310 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.335821393258 1.117673968064 2 5 1 5 2310 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.136419090718 0.750677658326 4 4 6 6 3201 0132 3201 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 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 0.262925172569 0.371566281526 5 6 5 6 2310 2310 0132 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 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 -1.316419177670 0.681147086723 ==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' : 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' : 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' : 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_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 21 Groebner basis: [ t - 394481548150646076757728/6686890042622946237607*c_0101_6^20 - 304893916764125854199880/6686890042622946237607*c_0101_6^19 + 4388665803517620291755404/6686890042622946237607*c_0101_6^18 - 4096844047259320349571774/6686890042622946237607*c_0101_6^17 - 16278056996825532055643278/6686890042622946237607*c_0101_6^16 + 38316885552339385324180262/6686890042622946237607*c_0101_6^15 + 7880665181596881771839076/6686890042622946237607*c_0101_6^14 - 104562183511598581333746986/6686890042622946237607*c_0101_6^13 + 69564712067861414475788405/6686890042622946237607*c_0101_6^12 + 109234977269181279551312372/6686890042622946237607*c_0101_6^11 - 140144164882815460577630307/6686890042622946237607*c_0101_6^10 - 16520523452441367416744290/6686890042622946237607*c_0101_6^9 + 77812958331419127246776164/6686890042622946237607*c_0101_6^8 - 34830540668023783482250175/6686890042622946237607*c_0101_6^7 + 25239662578683238477437644/6686890042622946237607*c_0101_6^6 + 4647287542134236867074189/6686890042622946237607*c_0101_6^5 - 41153595283977795174634384/6686890042622946237607*c_0101_6^4 + 12266772454472830737799241/6686890042622946237607*c_0101_6^3 + 16144665386481995212698788/6686890042622946237607*c_0101_6^2 - 4493454563252929426243890/6686890042622946237607*c_0101_6 - 2868851566129822717225972/6686890042622946237607, c_0011_0 - 1, c_0011_4 + 7492532290421433927552/6686890042622946237607*c_0101_6^20 + 6768705766047170084396/6686890042622946237607*c_0101_6^19 - 80675201412538006334386/6686890042622946237607*c_0101_6^18 + 71354933952757321945947/6686890042622946237607*c_0101_6^17 + 301691056438387223430983/6686890042622946237607*c_0101_6^16 - 696528028129843906417621/6686890042622946237607*c_0101_6^15 - 148554559723843403862887/6686890042622946237607*c_0101_6^14 + 1892010516106084858489056/6686890042622946237607*c_0101_6^13 - 1310641226702206688317412/6686890042622946237607*c_0101_6^12 - 1846343734618241363229080/6686890042622946237607*c_0101_6^11 + 2626397882238621983478670/6686890042622946237607*c_0101_6^10 - 97001043136517524107897/6686890042622946237607*c_0101_6^9 - 1332691033884635533980965/6686890042622946237607*c_0101_6^8 + 1011359011230286533584218/6686890042622946237607*c_0101_6^7 - 669716675685448549420781/6686890042622946237607*c_0101_6^6 - 90855783007666277419868/6686890042622946237607*c_0101_6^5 + 764997304099537190457824/6686890042622946237607*c_0101_6^4 - 367033165295166246043012/6686890042622946237607*c_0101_6^3 - 160362261452288806872374/6686890042622946237607*c_0101_6^2 + 117453990089184924992877/6686890042622946237607*c_0101_6 - 959898901937422170194/6686890042622946237607, c_0011_6 - 12088330783722318655880/6686890042622946237607*c_0101_6^20 - 13390884347881510467756/6686890042622946237607*c_0101_6^19 + 126422009781405832768538/6686890042622946237607*c_0101_6^18 - 91488692166946463390656/6686890042622946237607*c_0101_6^17 - 496091572199252929188136/6686890042622946237607*c_0101_6^16 + 1026031044545080192222015/6686890042622946237607*c_0101_6^15 + 399512213604445737239343/6686890042622946237607*c_0101_6^14 - 2926014705191608563499730/6686890042622946237607*c_0101_6^13 + 1637406550377461665583294/6686890042622946237607*c_0101_6^12 + 3092478974400610839261058/6686890042622946237607*c_0101_6^11 - 3690674595628365387159056/6686890042622946237607*c_0101_6^10 - 209466215252118141664886/6686890042622946237607*c_0101_6^9 + 1991322869210811121091162/6686890042622946237607*c_0101_6^8 - 1458960899918972409222835/6686890042622946237607*c_0101_6^7 + 956543262428320767132183/6686890042622946237607*c_0101_6^6 + 270571643708511799889671/6686890042622946237607*c_0101_6^5 - 1163725441119514783813418/6686890042622946237607*c_0101_6^4 + 446473216662846672899651/6686890042622946237607*c_0101_6^3 + 255658000710153794531576/6686890042622946237607*c_0101_6^2 - 145677911972247139219812/6686890042622946237607*c_0101_6 - 225504054988069708822/6686890042622946237607, c_0101_0 + 7632663939152168203448/6686890042622946237607*c_0101_6^20 + 8927961575608649038364/6686890042622946237607*c_0101_6^19 - 79793100342309210411442/6686890042622946237607*c_0101_6^18 + 52221054686092517062190/6686890042622946237607*c_0101_6^17 + 322088320912543316145548/6686890042622946237607*c_0101_6^16 - 630923598064653398242738/6686890042622946237607*c_0101_6^15 - 313651959948513673690322/6686890042622946237607*c_0101_6^14 + 1869114732663407777283847/6686890042622946237607*c_0101_6^13 - 893714485150566891653823/6686890042622946237607*c_0101_6^12 - 2129330354696144769321119/6686890042622946237607*c_0101_6^11 + 2243325281567890886950996/6686890042622946237607*c_0101_6^10 + 403915864050102695752906/6686890042622946237607*c_0101_6^9 - 1343230195067104953054699/6686890042622946237607*c_0101_6^8 + 820006551676029633418468/6686890042622946237607*c_0101_6^7 - 518121645405382312624495/6686890042622946237607*c_0101_6^6 - 261669110116804488894970/6686890042622946237607*c_0101_6^5 + 783057721902131360796716/6686890042622946237607*c_0101_6^4 - 220659513472445410616951/6686890042622946237607*c_0101_6^3 - 217918279742838963243573/6686890042622946237607*c_0101_6^2 + 94734462483521906490786/6686890042622946237607*c_0101_6 + 7673243976343237103482/6686890042622946237607, c_0101_1 - 10742363737630898895600/6686890042622946237607*c_0101_6^20 - 9815423444943702278660/6686890042622946237607*c_0101_6^19 + 116390019254064105414898/6686890042622946237607*c_0101_6^18 - 100961299125313088414053/6686890042622946237607*c_0101_6^17 - 443078187364972631509654/6686890042622946237607*c_0101_6^16 + 1006978134014339386612507/6686890042622946237607*c_0101_6^15 + 250153479579830168212709/6686890042622946237607*c_0101_6^14 - 2799445943455813808050207/6686890042622946237607*c_0101_6^13 + 1874049155713704902772582/6686890042622946237607*c_0101_6^12 + 2854691603466008760372211/6686890042622946237607*c_0101_6^11 - 3934586406387056679056919/6686890042622946237607*c_0101_6^10 - 24495466817393305138025/6686890042622946237607*c_0101_6^9 + 2166770175256975278001659/6686890042622946237607*c_0101_6^8 - 1473919224368006778621127/6686890042622946237607*c_0101_6^7 + 889891033906538494605139/6686890042622946237607*c_0101_6^6 + 184893157965592899935384/6686890042622946237607*c_0101_6^5 - 1187397619374488025632103/6686890042622946237607*c_0101_6^4 + 536962040394285147021438/6686890042622946237607*c_0101_6^3 + 289694839121960294278912/6686890042622946237607*c_0101_6^2 - 175470752255782889431012/6686890042622946237607*c_0101_6 - 8040776159275197827437/6686890042622946237607, c_0101_2 + 6013934941319257184328/6686890042622946237607*c_0101_6^20 + 10687778601727209552920/6686890042622946237607*c_0101_6^19 - 57932854293073648860420/6686890042622946237607*c_0101_6^18 + 5775028123402980251391/6686890042622946237607*c_0101_6^17 + 273946731006922568543781/6686890042622946237607*c_0101_6^16 - 359389568749702325483016/6686890042622946237607*c_0101_6^15 - 504705117962030082939790/6686890042622946237607*c_0101_6^14 + 1343010847001733452911270/6686890042622946237607*c_0101_6^13 - 1209447911526482430262/6686890042622946237607*c_0101_6^12 - 1983019950599870985949589/6686890042622946237607*c_0101_6^11 + 1085336170728472431703425/6686890042622946237607*c_0101_6^10 + 956268852971455160749545/6686890042622946237607*c_0101_6^9 - 1022203444667960967870804/6686890042622946237607*c_0101_6^8 + 447491135587436360505741/6686890042622946237607*c_0101_6^7 - 164990238289265974186904/6686890042622946237607*c_0101_6^6 - 454714177650117652335915/6686890042622946237607*c_0101_6^5 + 579498285868833028742347/6686890042622946237607*c_0101_6^4 - 2313635858014777504797/6686890042622946237607*c_0101_6^3 - 200524842501407542315785/6686890042622946237607*c_0101_6^2 + 39321470903508067772105/6686890042622946237607*c_0101_6 + 6139001761509910957642/6686890042622946237607, c_0101_6^21 + 3/2*c_0101_6^20 - 41/4*c_0101_6^19 + 3*c_0101_6^18 + 46*c_0101_6^17 - 137/2*c_0101_6^16 - 76*c_0101_6^15 + 479/2*c_0101_6^14 - 83/4*c_0101_6^13 - 699/2*c_0101_6^12 + 781/4*c_0101_6^11 + 197*c_0101_6^10 - 351/2*c_0101_6^9 + 53/2*c_0101_6^8 - 57/4*c_0101_6^7 - 65*c_0101_6^6 + 189/2*c_0101_6^5 + 15*c_0101_6^4 - 193/4*c_0101_6^3 + 1/4*c_0101_6^2 + 8*c_0101_6 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB