Magma V2.19-8 Tue Aug 20 2013 23:56:13 on localhost [Seed = 1064916759] Type ? for help. Type -D to quit. Loading file "K12n817__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n817 geometric_solution 12.16184210 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 -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 0.628841763351 1.842657760503 0 5 7 6 0132 0132 0132 0132 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 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478735022667 0.660039896521 8 0 8 4 0132 0132 1023 2031 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 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 0.182308590094 0.477116214757 9 10 11 0 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 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 0.069658168410 0.591630768471 5 2 0 12 2103 1302 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719886138618 0.800592826869 8 1 4 10 1023 0132 2103 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.044393300254 0.979067770247 9 10 1 7 2103 0213 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.003965662242 0.660930083342 8 6 12 1 3120 0321 2310 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 1 -1 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 0.953783190758 1.019284173820 2 5 2 7 0132 1023 1023 3120 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 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 0.255061949347 1.232219542557 3 11 6 10 0132 3012 2103 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.065184924625 1.219569399393 9 3 6 5 3012 0132 0213 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415731863712 0.791984603991 9 12 12 3 1230 3012 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.174427870653 0.877701799674 11 7 4 11 1230 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 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 0.174427870653 0.877701799674 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : d['c_0011_4'], 'c_1001_12' : negation(d['c_0101_7']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0101_12']), 'c_1001_2' : d['c_0101_8'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0101_1'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : negation(d['c_0101_12']), 's_3_11' : 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' : d['c_0011_11'], 'c_0101_10' : negation(d['c_0011_11']), '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_2_7' : d['1'], 's_2_12' : 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' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_7']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_12']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : d['c_0011_12'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_7'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_7'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1001_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_0101_8'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : negation(d['c_0011_7']), '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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_0'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0011_7'], 'c_0110_12' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : 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_8'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_7']), '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_12, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_12, c_0101_7, c_0101_8, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 2187947578515804349250701705085918/6694189850956738957065700099*c_1\ 100_0^12 + 23619970655400370565211863919743617/66941898509567389570\ 65700099*c_1100_0^11 - 97724453370085864003448438487146277/66941898\ 50956738957065700099*c_1100_0^10 + 4716434138441755652210738479513862/180924050025857809650424327*c_11\ 00_0^9 - 53055712212860640342752893620592022/6694189850956738957065\ 700099*c_1100_0^8 - 218308672721291187695455459260559801/6694189850\ 956738957065700099*c_1100_0^7 + 10815225180725189865926429478818762\ 4/6694189850956738957065700099*c_1100_0^6 + 358588866608762461340404529586060819/6694189850956738957065700099*c\ _1100_0^5 - 308054362733502948296532081147034695/669418985095673895\ 7065700099*c_1100_0^4 - 196886720295105368368533791546587700/669418\ 9850956738957065700099*c_1100_0^3 + 228615944180048265026074198699774058/6694189850956738957065700099*c\ _1100_0^2 + 59541864069093953364170099741223968/6694189850956738957\ 065700099*c_1100_0 - 76837347954799707907559453432293395/6694189850\ 956738957065700099, c_0011_0 - 1, c_0011_10 - 11182264303254890585359/132194353185425047040141*c_1100_0^1\ 2 + 100849057416786585275695/132194353185425047040141*c_1100_0^11 - 333998259569710576200415/132194353185425047040141*c_1100_0^10 + 11995847446056631761088/3572820356362839109193*c_1100_0^9 - 51963232478200379256636/132194353185425047040141*c_1100_0^8 - 339160381782645193681245/132194353185425047040141*c_1100_0^7 + 59787343580784705592946/132194353185425047040141*c_1100_0^6 + 529257400584986254962988/132194353185425047040141*c_1100_0^5 - 9807846709967636324772/1861892298386268268171*c_1100_0^4 - 1052804027774866666807/132194353185425047040141*c_1100_0^3 + 512878277381041030670674/132194353185425047040141*c_1100_0^2 - 131396712454977422024758/132194353185425047040141*c_1100_0 - 135174765804269179009382/132194353185425047040141, c_0011_11 - 18806925952761325575269/132194353185425047040141*c_1100_0^1\ 2 + 162059887253671514093350/132194353185425047040141*c_1100_0^11 - 458535077951539863684097/132194353185425047040141*c_1100_0^10 + 6227256911199081611366/3572820356362839109193*c_1100_0^9 + 986345741337053352698192/132194353185425047040141*c_1100_0^8 - 951182171675815969785907/132194353185425047040141*c_1100_0^7 - 1431612640302203890549580/132194353185425047040141*c_1100_0^6 + 1511238904711640235387061/132194353185425047040141*c_1100_0^5 + 1386776108135528955719703/132194353185425047040141*c_1100_0^4 - 1338104265798902407111990/132194353185425047040141*c_1100_0^3 - 9243427544702618197509/1861892298386268268171*c_1100_0^2 + 421746390454818317431353/132194353185425047040141*c_1100_0 + 209593349786533779248373/132194353185425047040141, c_0011_12 - 40159647528719460788048/132194353185425047040141*c_1100_0^1\ 2 + 357337213518888104179606/132194353185425047040141*c_1100_0^11 - 1084564787069549390192433/132194353185425047040141*c_1100_0^10 + 23203345676714872444608/3572820356362839109193*c_1100_0^9 + 1582855378426894922825657/132194353185425047040141*c_1100_0^8 - 1934348010541658691818177/132194353185425047040141*c_1100_0^7 - 2719051845812148747217295/132194353185425047040141*c_1100_0^6 + 3433780308566655374568339/132194353185425047040141*c_1100_0^5 + 2207555205218030970904580/132194353185425047040141*c_1100_0^4 - 2639153555561995750337204/132194353185425047040141*c_1100_0^3 - 1334513894052897041333416/132194353185425047040141*c_1100_0^2 + 942186100747626405021986/132194353185425047040141*c_1100_0 + 438065631376102922682466/132194353185425047040141, c_0011_4 + 10817746086542573504003/132194353185425047040141*c_1100_0^12 - 121642500466748671842207/132194353185425047040141*c_1100_0^11 + 509643956583705815239869/132194353185425047040141*c_1100_0^10 - 23356152000222602840643/3572820356362839109193*c_1100_0^9 + 61827108628055429742525/132194353185425047040141*c_1100_0^8 + 1282282790521690077970795/132194353185425047040141*c_1100_0^7 - 82698326829019018714217/132194353185425047040141*c_1100_0^6 - 2176950113979062491654223/132194353185425047040141*c_1100_0^5 + 755569562679155942817147/132194353185425047040141*c_1100_0^4 + 1394636229038309458902227/132194353185425047040141*c_1100_0^3 - 410982473515476767266371/132194353185425047040141*c_1100_0^2 - 446571013690628431292428/132194353185425047040141*c_1100_0 + 23284759737478253719935/132194353185425047040141, c_0011_7 + 28294879914155050777701/132194353185425047040141*c_1100_0^12 - 259378682282541007548601/132194353185425047040141*c_1100_0^11 + 815871768958044671824728/132194353185425047040141*c_1100_0^10 - 18317951284760072489439/3572820356362839109193*c_1100_0^9 - 1304959008094589595324805/132194353185425047040141*c_1100_0^8 + 1803157968994838701182637/132194353185425047040141*c_1100_0^7 + 2213726549028421120237402/132194353185425047040141*c_1100_0^6 - 3242887977408589604673342/132194353185425047040141*c_1100_0^5 - 2069103963729213486105255/132194353185425047040141*c_1100_0^4 + 2666367879052825075979867/132194353185425047040141*c_1100_0^3 + 1539130381136114970135268/132194353185425047040141*c_1100_0^2 - 1068817002392232514449147/132194353185425047040141*c_1100_0 - 553225645416665427648320/132194353185425047040141, c_0101_0 - 322870402483735412852/132194353185425047040141*c_1100_0^12 - 11166575902031056628525/132194353185425047040141*c_1100_0^11 + 100628080172636771206936/132194353185425047040141*c_1100_0^10 - 6612124386847466688473/3572820356362839109193*c_1100_0^9 - 8733646853645809094759/132194353185425047040141*c_1100_0^8 + 569034653755489129429441/132194353185425047040141*c_1100_0^7 + 150004402733929816253756/132194353185425047040141*c_1100_0^6 - 1260329603568812588461682/132194353185425047040141*c_1100_0^5 - 194081821302097455582927/132194353185425047040141*c_1100_0^4 + 1217855339608101760695167/132194353185425047040141*c_1100_0^3 + 432091146995839767175604/132194353185425047040141*c_1100_0^2 - 620100854133942397378305/132194353185425047040141*c_1100_0 - 294119233531773852360849/132194353185425047040141, c_0101_1 - 27279182239396366961888/132194353185425047040141*c_1100_0^12 + 229887473272278352363971/132194353185425047040141*c_1100_0^11 - 628045913576583002109406/132194353185425047040141*c_1100_0^10 + 7148608734932599370881/3572820356362839109193*c_1100_0^9 + 1362357901294268218888182/132194353185425047040141*c_1100_0^8 - 1059630704968699125844123/132194353185425047040141*c_1100_0^7 - 2220515612775098904627908/132194353185425047040141*c_1100_0^6 + 1898612725874874894337615/132194353185425047040141*c_1100_0^5 + 2194187617348354200643909/132194353185425047040141*c_1100_0^4 - 1627440748000940877757856/132194353185425047040141*c_1100_0^3 - 1398109271652930911091365/132194353185425047040141*c_1100_0^2 + 624403366630212587394914/132194353185425047040141*c_1100_0 + 414252048536243052577485/132194353185425047040141, c_0101_12 + 31414580111736943777157/132194353185425047040141*c_1100_0^1\ 2 - 281091338903309375146131/132194353185425047040141*c_1100_0^11 + 868337996383665257537517/132194353185425047040141*c_1100_0^10 - 20530176346186528918102/3572820356362839109193*c_1100_0^9 - 1094457132341300782602925/132194353185425047040141*c_1100_0^8 + 1547129542838498680813239/132194353185425047040141*c_1100_0^7 + 1818518742321784461879044/132194353185425047040141*c_1100_0^6 - 2600575868206967919286178/132194353185425047040141*c_1100_0^5 - 1378795006124970301806875/132194353185425047040141*c_1100_0^4 + 1890870113749833425281118/132194353185425047040141*c_1100_0^3 + 736651486826369420820137/132194353185425047040141*c_1100_0^2 - 467620572821223217862674/132194353185425047040141*c_1100_0 - 246544789273299707013318/132194353185425047040141, c_0101_7 + 68284775416265117018901/132194353185425047040141*c_1100_0^12 - 607823539544393848206018/132194353185425047040141*c_1100_0^11 + 1839137099022650678648132/132194353185425047040141*c_1100_0^10 - 38192101701137778405005/3572820356362839109193*c_1100_0^9 - 2823735264504416003963110/132194353185425047040141*c_1100_0^8 + 3418483496527334370119690/132194353185425047040141*c_1100_0^7 + 4630566761084767831956133/132194353185425047040141*c_1100_0^6 - 5839800571757376051187975/132194353185425047040141*c_1100_0^5 - 3897293636752405158566893/132194353185425047040141*c_1100_0^4 + 4570165484178737151113378/132194353185425047040141*c_1100_0^3 + 2299827892222912127582763/132194353185425047040141*c_1100_0^2 - 1610650482818198250314395/132194353185425047040141*c_1100_0 - 721571953628460331086277/132194353185425047040141, c_0101_8 + 61080899965269424524933/132194353185425047040141*c_1100_0^12 - 555166859475798531143701/132194353185425047040141*c_1100_0^11 + 1761499414077552468628965/132194353185425047040141*c_1100_0^10 - 45365405090289708979029/3572820356362839109193*c_1100_0^9 - 2037573288053799565139240/132194353185425047040141*c_1100_0^8 + 3406506750052448973709832/132194353185425047040141*c_1100_0^7 + 3340348441777133463089434/132194353185425047040141*c_1100_0^6 - 5901401777072406998097909/132194353185425047040141*c_1100_0^5 - 2263295819154894534050693/132194353185425047040141*c_1100_0^4 + 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