Magma V2.19-8 Tue Aug 20 2013 18:09:59 on localhost [Seed = 3263396261] Type ? for help. Type -D to quit. Loading file "10^2_53__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_53 geometric_solution 14.21497728 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 15 1 2 3 4 0132 0132 0132 0132 0 0 1 1 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 -1 1 -1 0 2 -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 0.010313353198 0.627589759747 0 5 6 6 0132 0132 2103 0132 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 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 0.455363444667 0.793631968683 7 0 4 8 0132 0132 0132 0132 0 0 1 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 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 0.270611815776 0.962062916538 4 9 8 0 0132 0132 0132 0132 0 0 1 1 0 0 0 0 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 0 -1 0 1 1 0 1 -2 1 -2 0 1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.791123428229 1.289048938358 3 10 0 2 0132 0132 0132 0132 0 0 1 1 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 -1 0 -1 0 1 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 0.085218039500 1.027299693130 7 1 11 12 1023 0132 0132 0132 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 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 0.184980803424 0.699965152499 1 13 1 12 2103 0132 0132 0213 0 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 -1 0 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 0.456092536875 0.947951259146 2 5 11 13 0132 1023 1023 3012 0 0 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.155589960748 2.110819985434 14 9 2 3 0132 0213 0132 0132 0 0 1 1 0 0 0 0 0 0 0 0 0 -1 0 1 1 -1 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 2 0 -2 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616311184411 0.815868638036 14 3 8 11 1230 0132 0213 1230 0 1 1 1 0 0 0 0 -1 0 1 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 2 0 -2 0 0 1 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517053520115 0.379543625731 13 4 12 12 0321 0132 2103 2031 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 -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 0 0 0 0 0 0 0.613057263678 0.715857999388 9 14 7 5 3012 1302 1023 0132 0 0 1 1 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 0 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.344168328167 0.742815779289 10 10 5 6 2103 1302 0132 0213 0 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 1 0 -1 -1 0 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 0.613057263678 0.715857999388 10 6 7 14 0321 0132 1230 1302 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 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 0.787524697219 1.037237125359 8 9 13 11 0132 3012 2031 2031 1 0 1 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 0 0 0 0 0 0 0 -1 0 1 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 0.349128851192 0.554240322807 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : d['c_0011_10'], 'c_1001_11' : d['c_0101_7'], 'c_1001_10' : d['c_0011_12'], 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : negation(d['c_0011_13']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_13']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_13' : d['c_1001_5'], 'c_1010_12' : d['c_0110_12'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_0011_12'], 'c_1010_14' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 'c_0101_14' : d['c_0101_14'], '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_13' : 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_14' : d['c_0011_11'], 'c_1100_9' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_13'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1001_13']), 'c_1100_6' : d['c_0110_12'], 'c_1100_1' : d['c_0110_12'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1100_14' : negation(d['c_1001_5']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_13'], 'c_1100_10' : negation(d['c_0110_12']), 'c_1100_13' : d['c_0101_14'], 's_0_11' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_1001_13'], 'c_1010_5' : negation(d['c_0011_13']), 'c_1010_4' : d['c_0011_12'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0101_11'], 'c_1100_8' : d['c_1100_0'], '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_1001_13'], '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' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0101_13' : negation(d['c_0101_10']), 'c_0011_6' : negation(d['c_0011_13']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_11'], 'c_0110_10' : negation(d['c_0011_13']), 'c_0110_13' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0110_12'], 'c_0110_14' : d['c_0101_7'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_10'], 'c_0011_7' : d['c_0011_0'], 'c_0110_0' : d['c_0101_0'], 's_2_14' : d['1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_14'], 'c_0101_2' : d['c_0101_14'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_7'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_14'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_14'], 'c_0110_7' : d['c_0101_14'], 'c_0110_6' : negation(d['c_0110_12'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0101_0, c_0101_10, c_0101_11, c_0101_14, c_0101_7, c_0110_12, c_1001_0, c_1001_13, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 733929270313663981382534783379480181/31048965057026011874219677015*\ c_1100_0^19 - 2181375172503270391606549469187269007/310489650570260\ 11874219677015*c_1100_0^18 - 5056935822489483750978566243768141179/\ 31048965057026011874219677015*c_1100_0^17 - 49259569304908681546087181182678920/214130793496731116373928807*c_1\ 100_0^16 - 2429971160352940662190232323510753772/620979301140520237\ 4843935403*c_1100_0^15 - 6827920089312174320186012344222974664/3104\ 8965057026011874219677015*c_1100_0^14 + 13229613257699072533928626224721162/64550862904419983106485815*c_11\ 00_0^13 + 46932038997892799496221810226506117641/310489650570260118\ 74219677015*c_1100_0^12 + 1705035487328873237951090425037738738/839\ 161217757459780384315595*c_1100_0^11 + 185623389018610601579513494194278958727/310489650570260118742196770\ 15*c_1100_0^10 + 236253105780304098157793183956586746884/3104896505\ 7026011874219677015*c_1100_0^9 + 2769254526077859618906280973505613\ 0612/2388381927463539374939975155*c_1100_0^8 + 20793496505863714823207461159692332302/6209793011405202374843935403\ *c_1100_0^7 + 199608883676796236612344508944855219871/3104896505702\ 6011874219677015*c_1100_0^6 + 721227235245901195826939789947486037/\ 1070653967483655581869644035*c_1100_0^5 + 167436033662160768146539409987593269477/310489650570260118742196770\ 15*c_1100_0^4 + 3375394567429249009964025659780981236/6209793011405\ 202374843935403*c_1100_0^3 + 42655928098432505436223690721161683371\ /31048965057026011874219677015*c_1100_0^2 - 3267015645619678856450799880673007634/6209793011405202374843935403*\ c_1100_0 - 736054221575058952258234113589943700/6209793011405202374\ 843935403, c_0011_0 - 1, c_0011_10 - 15940474005495525567082/37726980072717699068665*c_1100_0^19 - 47301872110177853427841/37726980072717699068665*c_1100_0^18 - 103358932022766602790561/37726980072717699068665*c_1100_0^17 - 138311652102885176120661/37726980072717699068665*c_1100_0^16 - 229183094967331861980866/37726980072717699068665*c_1100_0^15 - 107149697212208605365688/37726980072717699068665*c_1100_0^14 + 210059620611192475295451/37726980072717699068665*c_1100_0^13 + 205939059376058217501075/7545396014543539813733*c_1100_0^12 + 1270502655399106501086292/37726980072717699068665*c_1100_0^11 + 730527922172183226995327/7545396014543539813733*c_1100_0^10 + 4761041682737339712708791/37726980072717699068665*c_1100_0^9 + 6537069670437909081789083/37726980072717699068665*c_1100_0^8 + 860004714692619730782228/37726980072717699068665*c_1100_0^7 + 2393192076797388269792856/37726980072717699068665*c_1100_0^6 + 985479850959327418644188/37726980072717699068665*c_1100_0^5 + 2732924868034723468444864/37726980072717699068665*c_1100_0^4 + 248379169552887573323676/37726980072717699068665*c_1100_0^3 - 25286943872294047056640/7545396014543539813733*c_1100_0^2 - 40141380550286280894158/37726980072717699068665*c_1100_0 - 5493728562061919514706/37726980072717699068665, c_0011_11 - 5895334973414958389968/37726980072717699068665*c_1100_0^19 - 18122332329725078685146/37726980072717699068665*c_1100_0^18 - 39988784024531338503796/37726980072717699068665*c_1100_0^17 - 55011440109693554368778/37726980072717699068665*c_1100_0^16 - 89725281540983812161846/37726980072717699068665*c_1100_0^15 - 48002908265655232631557/37726980072717699068665*c_1100_0^14 + 74954856045507141214601/37726980072717699068665*c_1100_0^13 + 389634361836364989699917/37726980072717699068665*c_1100_0^12 + 509879043682355707201746/37726980072717699068665*c_1100_0^11 + 279201712446137556227388/7545396014543539813733*c_1100_0^10 + 1900301824017289678833841/37726980072717699068665*c_1100_0^9 + 2582039140155830451853711/37726980072717699068665*c_1100_0^8 + 554461498793966434546636/37726980072717699068665*c_1100_0^7 + 878520178177084597989727/37726980072717699068665*c_1100_0^6 + 452714814765664919732949/37726980072717699068665*c_1100_0^5 + 201996014870057746451425/7545396014543539813733*c_1100_0^4 + 207862431135192354057112/37726980072717699068665*c_1100_0^3 - 43752400268296038037494/37726980072717699068665*c_1100_0^2 - 2976782337277768872084/7545396014543539813733*c_1100_0 - 2652152363208653615666/37726980072717699068665, c_0011_12 - 2501849404991371886181/37726980072717699068665*c_1100_0^19 - 7846672341184639490081/37726980072717699068665*c_1100_0^18 - 3340864334621161562918/7545396014543539813733*c_1100_0^17 - 21998526382931185338457/37726980072717699068665*c_1100_0^16 - 34069859965552520925952/37726980072717699068665*c_1100_0^15 - 15158254163277523633434/37726980072717699068665*c_1100_0^14 + 42413081001330571223296/37726980072717699068665*c_1100_0^13 + 173831792597356043881147/37726980072717699068665*c_1100_0^12 + 216883696356800119100526/37726980072717699068665*c_1100_0^11 + 552372587278943023166514/37726980072717699068665*c_1100_0^10 + 153966183090415789014451/7545396014543539813733*c_1100_0^9 + 961082036887379038333403/37726980072717699068665*c_1100_0^8 + 51412476306164206864136/37726980072717699068665*c_1100_0^7 + 33951607404512398439309/37726980072717699068665*c_1100_0^6 + 138415204958477762456157/37726980072717699068665*c_1100_0^5 + 365112504624567233528642/37726980072717699068665*c_1100_0^4 + 127517125500542688821972/37726980072717699068665*c_1100_0^3 - 170624478706530101654988/37726980072717699068665*c_1100_0^2 - 55902146400778518463056/37726980072717699068665*c_1100_0 - 6003147949075909750432/37726980072717699068665, c_0011_13 - 8513536420230274615886/37726980072717699068665*c_1100_0^19 - 22380439324379906065942/37726980072717699068665*c_1100_0^18 - 49267054218976804710518/37726980072717699068665*c_1100_0^17 - 62207361565143786564288/37726980072717699068665*c_1100_0^16 - 112443008172249399048091/37726980072717699068665*c_1100_0^15 - 34104331514894210785884/37726980072717699068665*c_1100_0^14 + 99422592392559851223067/37726980072717699068665*c_1100_0^13 + 100867247672171494126168/7545396014543539813733*c_1100_0^12 + 529340222218487035083784/37726980072717699068665*c_1100_0^11 + 1882055622294809415174646/37726980072717699068665*c_1100_0^10 + 2045180298141571463636083/37726980072717699068665*c_1100_0^9 + 3181900615335697911796384/37726980072717699068665*c_1100_0^8 - 109959285495918356427524/37726980072717699068665*c_1100_0^7 + 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