Magma V2.19-8 Tue Aug 20 2013 16:18:49 on localhost [Seed = 3347471034] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2980 geometric_solution 6.15803641 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 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 0.152346645222 1.488763851566 0 1 0 1 0132 1302 2310 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.602912378699 0.936468826970 4 4 5 0 0132 0321 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 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 0.486905791453 0.476600559315 5 4 0 5 1302 3201 0132 3012 0 0 0 0 0 1 -1 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 0.084733163791 0.835677111181 2 6 3 2 0132 0132 2310 0321 0 0 0 0 0 0 0 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 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 -0.110401900988 0.909896987018 6 3 3 2 0321 2031 1230 0132 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 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 0.946827340441 0.789513449829 5 4 6 6 0321 0132 2031 1302 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.231398265001 1.091160088810 ==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' : 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' : 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_0101_5']), 'c_1100_5' : d['c_0110_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0110_3'], 'c_1100_3' : d['c_0110_3'], 'c_1100_2' : d['c_0110_3'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : negation(d['c_0011_5']), '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_2'], '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_3']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_5']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : negation(d['c_0011_0']), '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_2, c_0011_3, c_0011_5, c_0101_0, c_0101_5, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 12890479288572477599392448551366694527226124501/2900122259020000202\ 835053356979937933294625*c_0110_3^27 - 132791843741125138269295986518775663401103156248/290012225902000020\ 2835053356979937933294625*c_0110_3^26 + 169004570784545544103634493570560785417472081909/290012225902000020\ 2835053356979937933294625*c_0110_3^25 + 278432103944166300208854071319204965860218173729/580024451804000040\ 567010671395987586658925*c_0110_3^24 - 973102924090282730625636316803360202133594479553/290012225902000020\ 2835053356979937933294625*c_0110_3^23 - 11057295851231341042182060076967921258555208827892/2900122259020000\ 202835053356979937933294625*c_0110_3^22 + 66442263043187961457803273682810852091913480293/2900122259020000202\ 835053356979937933294625*c_0110_3^21 + 50399780206173545534754905060107106691180417095431/2900122259020000\ 202835053356979937933294625*c_0110_3^20 + 6820127527338481486681437391267932991650843913299/58002445180400004\ 0567010671395987586658925*c_0110_3^19 - 24533092833005293809027737088139739862416998963534/5800244518040000\ 40567010671395987586658925*c_0110_3^18 - 173547381670260034045578749412112701134511348202878/290012225902000\ 0202835053356979937933294625*c_0110_3^17 + 24058270972986810604371950370494475838016243706331/5800244518040000\ 40567010671395987586658925*c_0110_3^16 + 379681558015385461856304492337982385236953316692171/290012225902000\ 0202835053356979937933294625*c_0110_3^15 + 17294615802062826187315850965180768469152726629742/5800244518040000\ 40567010671395987586658925*c_0110_3^14 - 406063139102914081321482106155562846786419142909066/290012225902000\ 0202835053356979937933294625*c_0110_3^13 - 332728593657721491759836862689524224962637427367092/290012225902000\ 0202835053356979937933294625*c_0110_3^12 + 7272201875429293089736949297608969630713313342284/11600489036080000\ 8113402134279197517331785*c_0110_3^11 + 349989137797881631532785989421638623400582339662417/290012225902000\ 0202835053356979937933294625*c_0110_3^10 + 22047115028464118614926758776360441136052105936317/2900122259020000\ 202835053356979937933294625*c_0110_3^9 - 243075993962724783926256731499219113295839595453499/290012225902000\ 0202835053356979937933294625*c_0110_3^8 - 6419510292857256113981022431593035548261942828374/11600489036080000\ 8113402134279197517331785*c_0110_3^7 + 25503897595068888368537156739543161308928235527347/2900122259020000\ 202835053356979937933294625*c_0110_3^6 + 82727542685016986507362202980389391761675810697956/2900122259020000\ 202835053356979937933294625*c_0110_3^5 + 43736748537359678202389485836087486089751825346532/2900122259020000\ 202835053356979937933294625*c_0110_3^4 + 8352326102442274338543015523234221874351306608034/29001222590200002\ 02835053356979937933294625*c_0110_3^3 - 671526107910350405660508810903950694674259232956/290012225902000020\ 2835053356979937933294625*c_0110_3^2 - 462764313713776419910307134534297148364965104649/290012225902000020\ 2835053356979937933294625*c_0110_3 - 44767980713156919661210079743025154260939644677/2900122259020000202\ 835053356979937933294625, c_0011_0 - 1, c_0011_2 + 237210319018515841343305344338233626649908956/29001222590200\ 00202835053356979937933294625*c_0110_3^27 - 2445485629816665489351117436286817950978550248/29001222590200002028\ 35053356979937933294625*c_0110_3^26 + 3128021226056663867472777318939066448507248864/29001222590200002028\ 35053356979937933294625*c_0110_3^25 + 1024264711628690445211540991390669852645256131/11600489036080000811\ 3402134279197517331785*c_0110_3^24 - 18134815713200008527574657875327568771033322058/2900122259020000202\ 835053356979937933294625*c_0110_3^23 - 203427660825743111320453021285758737431534733802/290012225902000020\ 2835053356979937933294625*c_0110_3^22 + 3007069562919217525250817896191427669385183978/29001222590200002028\ 35053356979937933294625*c_0110_3^21 + 928200009218226493333780618042224663049595868646/290012225902000020\ 2835053356979937933294625*c_0110_3^20 + 123870340704511063254637652691027698101130237146/580024451804000040\ 567010671395987586658925*c_0110_3^19 - 90629366845549058030421672046825164816446519563/1160048903608000081\ 13402134279197517331785*c_0110_3^18 - 3174571885533161922773672043246558397518024346028/29001222590200002\ 02835053356979937933294625*c_0110_3^17 + 449770209952695127298538800398623649177281395193/580024451804000040\ 567010671395987586658925*c_0110_3^16 + 6972437703919081718164306625354605711837549401121/29001222590200002\ 02835053356979937933294625*c_0110_3^15 + 303807500157079641214618389785701774819101969988/580024451804000040\ 567010671395987586658925*c_0110_3^14 - 7499162915285913709884214020034821355422169169961/29001222590200002\ 02835053356979937933294625*c_0110_3^13 - 6048839574367926904720005178103102805684874067122/29001222590200002\ 02835053356979937933294625*c_0110_3^12 + 683517448702108334059518928057616089625565912921/580024451804000040\ 567010671395987586658925*c_0110_3^11 + 6410532523843220153255793758080434901679314736537/29001222590200002\ 02835053356979937933294625*c_0110_3^10 + 333287946236015468032659135438167660378237606852/290012225902000020\ 2835053356979937933294625*c_0110_3^9 - 4481926815358888637302971153863596850321575030539/29001222590200002\ 02835053356979937933294625*c_0110_3^8 - 23239738775351169415307911929964516725290367522/2320097807216000162\ 2680426855839503466357*c_0110_3^7 + 502256487517934336592937305666706293109955532307/290012225902000020\ 2835053356979937933294625*c_0110_3^6 + 1516670121936611799113650091687726050641467349191/29001222590200002\ 02835053356979937933294625*c_0110_3^5 + 787959904812397574481632846443348150022282150267/290012225902000020\ 2835053356979937933294625*c_0110_3^4 + 145656217136280542918087787791896570750834618609/290012225902000020\ 2835053356979937933294625*c_0110_3^3 - 13324313699223379321505215400906515963329935291/2900122259020000202\ 835053356979937933294625*c_0110_3^2 - 8200472377299892919784000754237116533772134069/29001222590200002028\ 35053356979937933294625*c_0110_3 - 756203305545306549193660211792481628524688247/290012225902000020283\ 5053356979937933294625, c_0011_3 + 185891745023654575074922121877713942780664396/29001222590200\ 00202835053356979937933294625*c_0110_3^27 - 1915660181009562913742714505848791121221164798/29001222590200002028\ 35053356979937933294625*c_0110_3^26 + 2443508542024898573417533686021347111194575154/29001222590200002028\ 35053356979937933294625*c_0110_3^25 + 4015132559183694593749319239649769299779838938/58002445180400004056\ 7010671395987586658925*c_0110_3^24 - 14123837126451296403119997452812762432536660398/2900122259020000202\ 835053356979937933294625*c_0110_3^23 - 159476190110464108148688411207985680250068774957/290012225902000020\ 2835053356979937933294625*c_0110_3^22 + 1666847989336414359104620265419084607937198608/29001222590200002028\ 35053356979937933294625*c_0110_3^21 + 727390741206988372776150312772808384212274647491/290012225902000020\ 2835053356979937933294625*c_0110_3^20 + 97716532342834070928412407388132511450595927012/5800244518040000405\ 67010671395987586658925*c_0110_3^19 - 354706893250658379844157528750888104779701908518/580024451804000040\ 567010671395987586658925*c_0110_3^18 - 2495922913944821290282090621559155910340388187528/29001222590200002\ 02835053356979937933294625*c_0110_3^17 + 350353961748281583395264788438486024627372344729/580024451804000040\ 567010671395987586658925*c_0110_3^16 + 5473168658203885531610877138866587635877822182496/29001222590200002\ 02835053356979937933294625*c_0110_3^15 + 242889916032551253398379061514734824016313799721/580024451804000040\ 567010671395987586658925*c_0110_3^14 - 5874517945121034131482381626333630180536910464921/29001222590200002\ 02835053356979937933294625*c_0110_3^13 - 4767952520097121524697626521191219487538827331362/29001222590200002\ 02835053356979937933294625*c_0110_3^12 + 532074070503423979299144905238288364060004585549/580024451804000040\ 567010671395987586658925*c_0110_3^11 + 5039263282073432865651563790870843467324131352522/29001222590200002\ 02835053356979937933294625*c_0110_3^10 + 282269162425771038181705688863559390539317526232/290012225902000020\ 2835053356979937933294625*c_0110_3^9 - 3514792739056059934932905245574319962722113458984/29001222590200002\ 02835053356979937933294625*c_0110_3^8 - 91702631276463249095229519440733253675631111514/1160048903608000081\ 13402134279197517331785*c_0110_3^7 + 385963317165944446453024640942611482334377370787/290012225902000020\ 2835053356979937933294625*c_0110_3^6 + 1191910809902024116091409248844198721384077776221/29001222590200002\ 02835053356979937933294625*c_0110_3^5 + 622390848450228226244128085634583324150507252897/290012225902000020\ 2835053356979937933294625*c_0110_3^4 + 116033160490527601323371561448603261052496233659/290012225902000020\ 2835053356979937933294625*c_0110_3^3 - 10295889455330891467939237534862368527213069146/2900122259020000202\ 835053356979937933294625*c_0110_3^2 - 6502941852536324124534327766903752139691015954/29001222590200002028\ 35053356979937933294625*c_0110_3 - 606418853865923073059065730980104462905101582/290012225902000020283\ 5053356979937933294625, c_0011_5 + 12091544185795557899562785989369/192653922471759019906698475\ 375*c_0110_3^27 - 124815901569027688823089914737892/192653922471759\ 019906698475375*c_0110_3^26 + 161206954725759746743342349279001/192\ 653922471759019906698475375*c_0110_3^25 + 260387136169034810481293299228204/38530784494351803981339695075*c_0\ 110_3^24 - 939320649028116627502005027857427/1926539224717590199066\ 98475375*c_0110_3^23 - 10346923926181485039520457344095473/19265392\ 2471759019906698475375*c_0110_3^22 + 274419308332234666715592735098677/192653922471759019906698475375*c_\ 0110_3^21 + 47227878274545931879799794114536619/1926539224717590199\ 06698475375*c_0110_3^20 + 6201410706532124559475592121226962/385307\ 84494351803981339695075*c_0110_3^19 - 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