Magma V2.19-8 Tue Aug 20 2013 18:01:52 on localhost [Seed = 2850561239] Type ? for help. Type -D to quit. Loading file "11_292__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_292 geometric_solution 11.71947558 oriented_manifold CS_known 0.0000000000000008 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 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 1 0 -1 0 0 0 0 -1 -1 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.091646108346 1.122312312215 0 5 5 6 0132 0132 1302 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 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342154004930 0.590919188129 4 0 3 7 0213 0132 0213 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 -1 0 1 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554662126726 0.457848174834 6 2 8 0 0132 0213 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536983981620 0.664464137381 2 8 0 9 0213 0132 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 1 -1 -1 0 0 1 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536983981620 0.664464137381 1 1 8 10 2031 0132 1023 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.266165263614 1.267373815292 3 11 1 9 0132 0132 0132 0321 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 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.432616433570 1.000717803402 9 12 2 12 0321 0132 0132 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 -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 0.841292478350 0.755702507900 12 4 5 3 0213 0132 1023 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 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347792931692 0.277345874026 7 6 4 10 0321 0321 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 1.432616433570 1.000717803402 11 11 5 9 2031 0321 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428744609417 0.756194555397 12 6 10 10 2031 0132 1302 0321 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 1 -1 -1 0 0 1 0 1 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428744609417 0.756194555397 8 7 11 7 0213 0132 1302 0213 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.841292478350 0.755702507900 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_10'], 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_12'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1001_0'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_1100_0']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0110_10'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_12'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0110_10'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['c_0011_10']), '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' : 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_9'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_12']), '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' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_9'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : negation(d['c_0011_9']), 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : d['c_0011_12'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : negation(d['c_0011_9'])})} 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_9, c_0101_0, c_0101_10, c_0101_5, c_0101_7, c_0110_10, c_1001_0, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 141/13*c_1100_0^9 - 2551/78*c_1100_0^8 + 1571/26*c_1100_0^7 - 1256/13*c_1100_0^6 + 6508/39*c_1100_0^5 - 3859/26*c_1100_0^4 + 6725/39*c_1100_0^3 - 4861/26*c_1100_0^2 + 1784/39*c_1100_0 - 8105/78, c_0011_0 - 1, c_0011_10 + 8/13*c_1100_0^9 - 37/13*c_1100_0^8 + 82/13*c_1100_0^7 - 111/13*c_1100_0^6 + 128/13*c_1100_0^5 - 108/13*c_1100_0^4 + 51/13*c_1100_0^3 - 15/13*c_1100_0^2 - 4/13*c_1100_0 + 4/13, c_0011_11 - c_1100_0, c_0011_12 - 3/13*c_1100_0^9 + 22/13*c_1100_0^8 - 73/13*c_1100_0^7 + 144/13*c_1100_0^6 - 191/13*c_1100_0^5 + 190/13*c_1100_0^4 - 141/13*c_1100_0^3 + 56/13*c_1100_0^2 + 8/13*c_1100_0 - 21/13, c_0011_9 + c_1100_0^2 - c_1100_0 + 1, c_0101_0 + 11/13*c_1100_0^9 - 72/13*c_1100_0^8 + 220/13*c_1100_0^7 - 411/13*c_1100_0^6 + 553/13*c_1100_0^5 - 584/13*c_1100_0^4 + 465/13*c_1100_0^3 - 253/13*c_1100_0^2 + 79/13*c_1100_0 - 1/13, c_0101_10 + 8/13*c_1100_0^9 - 37/13*c_1100_0^8 + 82/13*c_1100_0^7 - 111/13*c_1100_0^6 + 128/13*c_1100_0^5 - 108/13*c_1100_0^4 + 51/13*c_1100_0^3 - 15/13*c_1100_0^2 - 4/13*c_1100_0 + 4/13, c_0101_5 - c_1100_0^2 + c_1100_0 - 1, c_0101_7 - 11/13*c_1100_0^9 + 72/13*c_1100_0^8 - 220/13*c_1100_0^7 + 411/13*c_1100_0^6 - 553/13*c_1100_0^5 + 584/13*c_1100_0^4 - 465/13*c_1100_0^3 + 253/13*c_1100_0^2 - 79/13*c_1100_0 + 1/13, c_0110_10 - 3/13*c_1100_0^9 + 22/13*c_1100_0^8 - 73/13*c_1100_0^7 + 144/13*c_1100_0^6 - 191/13*c_1100_0^5 + 190/13*c_1100_0^4 - 141/13*c_1100_0^3 + 56/13*c_1100_0^2 - 5/13*c_1100_0 - 21/13, c_1001_0 - 1, c_1001_2 + 6/13*c_1100_0^9 - 31/13*c_1100_0^8 + 81/13*c_1100_0^7 - 132/13*c_1100_0^6 + 161/13*c_1100_0^5 - 146/13*c_1100_0^4 + 100/13*c_1100_0^3 - 47/13*c_1100_0^2 - 3/13*c_1100_0 - 10/13, c_1100_0^10 - 5*c_1100_0^9 + 13*c_1100_0^8 - 23*c_1100_0^7 + 34*c_1100_0^6 - 39*c_1100_0^5 + 35*c_1100_0^4 - 26*c_1100_0^3 + 13*c_1100_0^2 - 5*c_1100_0 - 1 ], 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_9, c_0101_0, c_0101_10, c_0101_5, c_0101_7, c_0110_10, c_1001_0, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 623396277253656317549349729/9202870746084226338285686*c_1100_0^13 - 16423292194741702112596437593/197861721040810866273142249*c_1100_0^\ 12 + 120304640877670555132813537157/395723442081621732546284498*c_1\ 100_0^11 - 116643045970546823526354617708/1978617210408108662731422\ 49*c_1100_0^10 + 38985718762094649700174777231/19786172104081086627\ 3142249*c_1100_0^9 - 414842840002698952677724140566/197861721040810\ 866273142249*c_1100_0^8 + 17899350139040115510623552376/19786172104\ 0810866273142249*c_1100_0^7 - 652546996187011553920387293986/197861\ 721040810866273142249*c_1100_0^6 + 126570003947711163245471287608/197861721040810866273142249*c_1100_0\ ^5 - 813147838301416010786270642795/395723442081621732546284498*c_1\ 100_0^4 + 195984681444189347103899253475/39572344208162173254628449\ 8*c_1100_0^3 - 57757749714742204631188357500/1978617210408108662731\ 42249*c_1100_0^2 + 34543709843248825310050441883/395723442081621732\ 546284498*c_1100_0 + 11946983177577899428318555/1798742918552826057\ 0285659, c_0011_0 - 1, c_0011_10 - 1920619108066572939714/226237050643695027737*c_1100_0^13 - 977310637496726925595/226237050643695027737*c_1100_0^12 - 12723883667363397412080/226237050643695027737*c_1100_0^11 - 6685897422080582472506/226237050643695027737*c_1100_0^10 - 32277479190967030701898/226237050643695027737*c_1100_0^9 - 4753764835308344584167/226237050643695027737*c_1100_0^8 - 45478564398337681867300/226237050643695027737*c_1100_0^7 + 12709271185397075930833/226237050643695027737*c_1100_0^6 - 37328332342971301710116/226237050643695027737*c_1100_0^5 + 15290158145134926114989/226237050643695027737*c_1100_0^4 - 13354385845811043251996/226237050643695027737*c_1100_0^3 + 3742637160643929210892/226237050643695027737*c_1100_0^2 - 1085795943605361817796/226237050643695027737*c_1100_0 + 405422884372822629742/226237050643695027737, c_0011_11 - 1402025187942917594104/226237050643695027737*c_1100_0^13 - 1511842948770633717712/226237050643695027737*c_1100_0^12 - 9711294032182781598289/226237050643695027737*c_1100_0^11 - 10072327194238668770197/226237050643695027737*c_1100_0^10 - 26463489392165825759655/226237050643695027737*c_1100_0^9 - 16372831118825670118410/226237050643695027737*c_1100_0^8 - 35509694188064404589604/226237050643695027737*c_1100_0^7 - 8700136653004651876148/226237050643695027737*c_1100_0^6 - 23233384095513051521114/226237050643695027737*c_1100_0^5 - 3165339432096319147385/226237050643695027737*c_1100_0^4 - 5660754162793292103635/226237050643695027737*c_1100_0^3 - 2036909043289848502272/226237050643695027737*c_1100_0^2 - 349065249536604116777/226237050643695027737*c_1100_0 - 292505133006464880813/226237050643695027737, c_0011_12 - 3323122585576309964794/226237050643695027737*c_1100_0^13 - 1578722053543090439878/226237050643695027737*c_1100_0^12 - 22145482054237714915573/226237050643695027737*c_1100_0^11 - 11023050357388725727484/226237050643695027737*c_1100_0^10 - 56741171487998346366288/226237050643695027737*c_1100_0^9 - 7553771749454595467273/226237050643695027737*c_1100_0^8 - 81776308609866986570188/226237050643695027737*c_1100_0^7 + 23064671078190192799511/226237050643695027737*c_1100_0^6 - 69417404134488003788089/226237050643695027737*c_1100_0^5 + 28394382001233550505077/226237050643695027737*c_1100_0^4 - 26768216425809473266530/226237050643695027737*c_1100_0^3 + 7346118676324231238611/226237050643695027737*c_1100_0^2 - 2974586693494810209527/226237050643695027737*c_1100_0 + 404178026652127495066/226237050643695027737, c_0011_9 + 940904385988672314121/226237050643695027737*c_1100_0^13 + 351012497714962920011/226237050643695027737*c_1100_0^12 + 6118886371986792062371/226237050643695027737*c_1100_0^11 + 2475803987724744625433/226237050643695027737*c_1100_0^10 + 15089522306399742384044/226237050643695027737*c_1100_0^9 + 454386530058430218523/226237050643695027737*c_1100_0^8 + 21424238374033122200155/226237050643695027737*c_1100_0^7 - 8375110335706844020444/226237050643695027737*c_1100_0^6 + 18099522122000564584921/226237050643695027737*c_1100_0^5 - 8505419211552779122434/226237050643695027737*c_1100_0^4 + 6238582748296804088962/226237050643695027737*c_1100_0^3 - 1474444329587358889239/226237050643695027737*c_1100_0^2 + 454762213975003807513/226237050643695027737*c_1100_0 + 148221921141161926692/226237050643695027737, c_0101_0 + 161734021226998652389/226237050643695027737*c_1100_0^13 + 817876855187107301109/226237050643695027737*c_1100_0^12 + 2016967636045692244065/226237050643695027737*c_1100_0^11 + 5940623647112058620747/226237050643695027737*c_1100_0^10 + 8963081588584223604747/226237050643695027737*c_1100_0^9 + 15879829129274427331646/226237050643695027737*c_1100_0^8 + 14719969624500693466116/226237050643695027737*c_1100_0^7 + 19720129055225392810956/226237050643695027737*c_1100_0^6 + 9413526832633654594822/226237050643695027737*c_1100_0^5 + 12374424328373980115005/226237050643695027737*c_1100_0^4 + 2355087760826948240482/226237050643695027737*c_1100_0^3 + 3409414289225569760203/226237050643695027737*c_1100_0^2 + 381803027306146897269/226237050643695027737*c_1100_0 + 55300321156234101959/226237050643695027737, c_0101_10 + 750939609927329442975/226237050643695027737*c_1100_0^13 + 108138184058089660838/226237050643695027737*c_1100_0^12 + 4882270298779857713461/226237050643695027737*c_1100_0^11 + 961354660551407429200/226237050643695027737*c_1100_0^10 + 12064036666892567375992/226237050643695027737*c_1100_0^9 - 1766365144488696536390/226237050643695027737*c_1100_0^8 + 18346471735922035013627/226237050643695027737*c_1100_0^7 - 9629732126026283944814/226237050643695027737*c_1100_0^6 + 17400800310015827069126/226237050643695027737*c_1100_0^5 - 9839032514763563337002/226237050643695027737*c_1100_0^4 + 7117901592666860521646/226237050643695027737*c_1100_0^3 - 2592544406220755338986/226237050643695027737*c_1100_0^2 + 560836336259917903850/226237050643695027737*c_1100_0 - 142577354900088293977/226237050643695027737, c_0101_5 - 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