Magma V2.19-8 Tue Aug 20 2013 23:45:28 on localhost [Seed = 2446849108] Type ? for help. Type -D to quit. Loading file "K13n3001__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3001 geometric_solution 10.86499942 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 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 -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 0.921109426814 1.155872431712 0 5 6 5 0132 0132 0132 2310 0 0 0 0 0 0 -1 1 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 6 -5 -1 0 0 1 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.125054662105 1.246682847364 6 0 7 3 2310 0132 0132 2310 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 1 0 -1 0 0 0 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369838099954 0.245911604032 2 5 8 0 3201 1230 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.921109426814 1.155872431712 9 7 0 10 0132 0132 0132 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 -1 1 -1 0 1 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 0.615172585198 0.808064022298 1 1 3 7 3201 0132 3012 3012 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 1 0 -1 0 0 0 0 5 -5 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.377172666697 0.537421795053 8 7 2 1 0132 1023 3201 0132 0 0 0 0 0 0 -1 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 0 6 -6 0 0 0 0 1 -6 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.921109426814 1.155872431712 6 4 5 2 1023 0132 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 6 0 0 -6 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.921109426814 1.155872431712 6 10 11 3 0132 0132 0132 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 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615172585198 0.808064022298 4 10 11 11 0132 1023 2310 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.012897030347 0.994110006229 9 8 4 11 1023 0132 0132 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 -1 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 0.206765383034 0.395658580021 9 9 10 8 3120 3201 0132 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 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 0.012897030347 0.994110006229 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0101_10']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_11']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_11'], 'c_1100_8' : d['c_1100_0'], 'c_1100_5' : negation(d['c_1001_10']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_3'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : d['c_1001_10'], '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_3_7' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_10'], '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' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_1001_10, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 1041042803497645155070252613756485/49965997095371462478841548428492\ 8*c_1100_0^18 - 238775145976972817614349837461353/62457496369214328\ 098551935535616*c_1100_0^17 - 4163094652489884487971183838987675/24\ 9829985476857312394207742142464*c_1100_0^16 - 7126814140658327001854021503326811/12491499273842865619710387107123\ 2*c_1100_0^15 - 53108093826820609026879194474336685/499659970953714\ 624788415484284928*c_1100_0^14 - 4337553807313950972267587516286944\ 3/124914992738428656197103871071232*c_1100_0^13 - 82605692148402933292897306125648271/2498299854768573123942077421424\ 64*c_1100_0^12 - 16856209392519225189581169211086453/31228748184607\ 164049275967767808*c_1100_0^11 - 4953492976479987268575935252272599\ 03/499659970953714624788415484284928*c_1100_0^10 + 29549212143811047175723642113328293/1249149927384286561971038710712\ 32*c_1100_0^9 - 732792369095661619687027645856016085/24982998547685\ 7312394207742142464*c_1100_0^8 + 2800096936444888250365482933103257\ 31/62457496369214328098551935535616*c_1100_0^7 - 2074913923281721882968038600118010839/49965997095371462478841548428\ 4928*c_1100_0^6 + 6108069518174431892101584074628553/14035392442520\ 07373001167090688*c_1100_0^5 - 605247945555624859432394249510847997\ /249829985476857312394207742142464*c_1100_0^4 + 139568021371698026976297777382251467/124914992738428656197103871071\ 232*c_1100_0^3 - 26305925080309313172312815830223627/62457496369214\ 328098551935535616*c_1100_0^2 - 8102726905778578821071940190494693/\ 124914992738428656197103871071232*c_1100_0 + 3348968157387928480373498719972741/62457496369214328098551935535616\ , c_0011_0 - 1, c_0011_10 + c_1100_0, c_0011_11 - 2363205333490800363859489/61601968234375323604334932*c_1100\ _0^18 - 2724406638326878351868709/30800984117187661802167466*c_1100\ _0^17 - 10232537455354381827646143/30800984117187661802167466*c_110\ 0_0^16 - 72100015910109563993896965/61601968234375323604334932*c_11\ 00_0^15 - 73115984945923050588651257/30800984117187661802167466*c_1\ 100_0^14 - 433125809580240529944839425/61601968234375323604334932*c\ _1100_0^13 - 260345101924143437989576063/30800984117187661802167466\ *c_1100_0^12 - 342024415516760367570752463/308009841171876618021674\ 66*c_1100_0^11 - 1247787652700289734311216449/616019682343753236043\ 34932*c_1100_0^10 - 39409133792062731111127827/30800984117187661802\ 167466*c_1100_0^9 - 1438708075122979432130377107/308009841171876618\ 02167466*c_1100_0^8 + 3701753316114435889587659013/6160196823437532\ 3604334932*c_1100_0^7 - 457081539493111907736889400/154004920585938\ 30901083733*c_1100_0^6 + 2527287062869087264629859609/6160196823437\ 5323604334932*c_1100_0^5 - 484478626415188940998040671/308009841171\ 87661802167466*c_1100_0^4 + 147585158679223491460397295/30800984117\ 187661802167466*c_1100_0^3 - 59756483276756553552000501/15400492058\ 593830901083733*c_1100_0^2 - 7175634976007333367334216/154004920585\ 93830901083733*c_1100_0 - 11121709842840487853226042/15400492058593\ 830901083733, c_0011_3 + 1, c_0101_0 + 363229137933293018325927/15400492058593830901083733*c_1100_0\ ^18 + 881180614554253650589936/15400492058593830901083733*c_1100_0^\ 17 + 3168180324612927366945309/15400492058593830901083733*c_1100_0^\ 16 + 22379789452781854469789911/30800984117187661802167466*c_1100_0\ ^15 + 22870519339105207541011131/15400492058593830901083733*c_1100_\ 0^14 + 263898576037404979945414471/61601968234375323604334932*c_110\ 0_0^13 + 159888131069744972154418141/30800984117187661802167466*c_1\ 100_0^12 + 93064786239912792689952023/15400492058593830901083733*c_\ 1100_0^11 + 166808485378969836191073749/15400492058593830901083733*\ c_1100_0^10 - 37114922253901710082661653/30800984117187661802167466\ *c_1100_0^9 + 360715059261288769525519868/1540049205859383090108373\ 3*c_1100_0^8 - 1176363653644635045992857821/30800984117187661802167\ 466*c_1100_0^7 + 74252836390542950656413328/15400492058593830901083\ 733*c_1100_0^6 - 1448229807443165125824538977/616019682343753236043\ 34932*c_1100_0^5 + 197564107011902262488648963/30800984117187661802\ 167466*c_1100_0^4 + 32463053588604767675833996/15400492058593830901\ 083733*c_1100_0^3 + 52691078672489305494010768/15400492058593830901\ 083733*c_1100_0^2 + 4069398003130071635797469/154004920585938309010\ 83733*c_1100_0 + 13553850191934194903252865/15400492058593830901083\ 733, c_0101_1 + 2417385231026523654150077/61601968234375323604334932*c_1100_\ 0^18 + 5221212930192662462553915/61601968234375323604334932*c_1100_\ 0^17 + 10065201073894119916504257/30800984117187661802167466*c_1100\ _0^16 + 70618367590743135565140333/61601968234375323604334932*c_110\ 0_0^15 + 138414545000410806754842361/61601968234375323604334932*c_1\ 100_0^14 + 419941091948393652404229279/61601968234375323604334932*c\ _1100_0^13 + 231510748445638626020413215/30800984117187661802167466\ *c_1100_0^12 + 304352534702691411086980583/308009841171876618021674\ 66*c_1100_0^11 + 1138631158082168591254410011/616019682343753236043\ 34932*c_1100_0^10 - 178619565553849866204659807/6160196823437532360\ 4334932*c_1100_0^9 + 1415570840707608437057103917/30800984117187661\ 802167466*c_1100_0^8 - 4369380722381607579678586473/616019682343753\ 23604334932*c_1100_0^7 + 2254102528579773136891083399/6160196823437\ 5323604334932*c_1100_0^6 - 3083161899277295267365789747/61601968234\ 375323604334932*c_1100_0^5 + 597389910463014446688518655/3080098411\ 7187661802167466*c_1100_0^4 - 149816531163247050903625657/308009841\ 17187661802167466*c_1100_0^3 + 76797986565172522750470176/154004920\ 58593830901083733*c_1100_0^2 + 16646701371925175423404206/154004920\ 58593830901083733*c_1100_0 + 9529001933502306522677028/154004920585\ 93830901083733, c_0101_10 + 1610240075576714309555597/61601968234375323604334932*c_1100\ _0^18 + 3317150607333337520525507/61601968234375323604334932*c_1100\ _0^17 + 6533170510773280355507223/30800984117187661802167466*c_1100\ _0^16 + 45626844784422361349605917/61601968234375323604334932*c_110\ 0_0^15 + 21815837568417412668493777/15400492058593830901083733*c_11\ 00_0^14 + 269736995839850387554805889/61601968234375323604334932*c_\ 1100_0^13 + 69361084820459862126628919/15400492058593830901083733*c\ _1100_0^12 + 183799914791352069128375725/30800984117187661802167466\ *c_1100_0^11 + 698001603544210036421392191/616019682343753236043349\ 32*c_1100_0^10 - 228617670917826910802441147/6160196823437532360433\ 4932*c_1100_0^9 + 926944193470374446524029693/308009841171876618021\ 67466*c_1100_0^8 - 3175562232388577304080396743/6160196823437532360\ 4334932*c_1100_0^7 + 433563696144889346292614731/154004920585938309\ 01083733*c_1100_0^6 - 2338163904242777419136160945/6160196823437532\ 3604334932*c_1100_0^5 + 249097739276087808691100233/154004920585938\ 30901083733*c_1100_0^4 - 67980066356289224497417146/154004920585938\ 30901083733*c_1100_0^3 + 53361741587845638789529227/154004920585938\ 30901083733*c_1100_0^2 + 14361943146659579963185110/154004920585938\ 30901083733*c_1100_0 + 11576161661789628905285790/15400492058593830\ 901083733, c_0101_2 + 363229137933293018325927/15400492058593830901083733*c_1100_0\ ^18 + 881180614554253650589936/15400492058593830901083733*c_1100_0^\ 17 + 3168180324612927366945309/15400492058593830901083733*c_1100_0^\ 16 + 22379789452781854469789911/30800984117187661802167466*c_1100_0\ ^15 + 22870519339105207541011131/15400492058593830901083733*c_1100_\ 0^14 + 263898576037404979945414471/61601968234375323604334932*c_110\ 0_0^13 + 159888131069744972154418141/30800984117187661802167466*c_1\ 100_0^12 + 93064786239912792689952023/15400492058593830901083733*c_\ 1100_0^11 + 166808485378969836191073749/15400492058593830901083733*\ c_1100_0^10 - 37114922253901710082661653/30800984117187661802167466\ *c_1100_0^9 + 360715059261288769525519868/1540049205859383090108373\ 3*c_1100_0^8 - 1176363653644635045992857821/30800984117187661802167\ 466*c_1100_0^7 + 74252836390542950656413328/15400492058593830901083\ 733*c_1100_0^6 - 1448229807443165125824538977/616019682343753236043\ 34932*c_1100_0^5 + 197564107011902262488648963/30800984117187661802\ 167466*c_1100_0^4 + 32463053588604767675833996/15400492058593830901\ 083733*c_1100_0^3 + 52691078672489305494010768/15400492058593830901\ 083733*c_1100_0^2 + 4069398003130071635797469/154004920585938309010\ 83733*c_1100_0 + 13553850191934194903252865/15400492058593830901083\ 733, c_0101_3 + 3607819034233884773616697/61601968234375323604334932*c_1100_\ 0^18 + 7708385997210099265829847/61601968234375323604334932*c_1100_\ 0^17 + 14686987238619047851360273/30800984117187661802167466*c_1100\ _0^16 + 103487606656928139118940157/61601968234375323604334932*c_11\ 00_0^15 + 199794656769599227641593159/61601968234375323604334932*c_\ 1100_0^14 + 606520747369320887686785351/61601968234375323604334932*\ c_1100_0^13 + 322196481593381502848859511/3080098411718766180216746\ 6*c_1100_0^12 + 400143902535112925073395203/30800984117187661802167\ 466*c_1100_0^11 + 1560231202673697298608788087/61601968234375323604\ 334932*c_1100_0^10 - 452257396800879777888081015/616019682343753236\ 04334932*c_1100_0^9 + 1981905104971922276590040287/3080098411718766\ 1802167466*c_1100_0^8 - 6667272171690532891575794007/61601968234375\ 323604334932*c_1100_0^7 + 2950330855173216294082260509/616019682343\ 75323604334932*c_1100_0^6 - 4032611676346907070004336479/6160196823\ 4375323604334932*c_1100_0^5 + 847684559985337805802463105/308009841\ 17187661802167466*c_1100_0^4 - 49552284144702073842671433/154004920\ 58593830901083733*c_1100_0^3 + 84322902307394373668586875/154004920\ 58593830901083733*c_1100_0^2 + 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