Magma V2.19-8 Wed Aug 21 2013 01:05:51 on localhost [Seed = 2648409389] Type ? for help. Type -D to quit. Loading file "L14n28737__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n28737 geometric_solution 11.94921534 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 1 0132 0132 1023 1023 1 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 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 1.201472436102 1.045009712351 0 3 4 0 0132 0132 0132 1023 1 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 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 0.827259277156 0.654933996451 5 0 0 6 0132 0132 1023 0132 1 1 1 1 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 -1 0 1 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.249751324199 0.417710159575 5 1 4 6 2310 0132 1302 2310 1 1 1 1 0 0 -1 1 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 -5 5 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638133448752 0.421357776943 3 7 8 1 2031 0132 0132 0132 1 1 1 1 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 0 0 0 5 0 -4 -1 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538701117718 0.658961143547 2 5 3 5 0132 1302 3201 2031 1 1 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 1 0 -1 1 0 0 -1 0 1 0 -1 4 1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768058343943 1.096799390771 3 7 2 9 3201 3012 0132 0132 1 1 1 1 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 -5 5 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.058886963121 1.141624605012 6 4 11 10 1230 0132 0132 0132 1 1 1 1 0 0 0 0 -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 0 0 0 -5 0 5 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.213289291754 0.696431827786 12 12 9 4 0132 1302 0132 0132 1 1 1 0 0 0 0 0 -1 0 0 1 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 -4 0 0 4 0 -5 0 5 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.260802866521 1.105855481517 11 11 6 8 1230 2031 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 4 -3 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555203532246 0.592763882158 10 12 7 10 3012 1230 0132 1230 1 1 1 1 0 1 0 -1 1 0 0 -1 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 4 0 -4 4 0 0 -4 4 0 0 -4 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.255885705715 0.708939415321 9 9 12 7 1302 3012 3012 0132 1 1 1 0 0 0 0 0 0 0 1 -1 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 5 -5 0 0 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555203532246 0.592763882158 8 11 10 8 0132 1230 3012 2031 1 1 0 1 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 0 0 0 0 0 0 0 0 -5 0 5 4 0 -4 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 0.417783938827 0.625014137524 ==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_1001_10'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_1001_10'], 'c_1001_7' : negation(d['c_0101_9']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0101_9']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : d['c_0011_6'], '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_12']), 'c_0101_10' : d['c_0011_6'], '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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_1100_0']), 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_1100_0']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1100_0']), 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0011_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0101_9']), 'c_1010_3' : negation(d['c_0101_9']), 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_1001_10'], 'c_1100_8' : negation(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' : negation(d['c_1001_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' : 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_12'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0011_10'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : d['c_0011_6'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_11'], '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_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_6'], 'c_0110_6' : d['c_0101_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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5, c_0101_7, c_0101_9, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 158241726329260604400388958239/3592686182687362679291609600*c_1100_\ 0^15 - 3475837922393881215991826931517/3592686182687362679291609600\ *c_1100_0^14 - 3581105556130865783789937882143/35926861826873626792\ 9160960*c_1100_0^13 - 31707726570726427420469340143483/513240883241\ 051811327372800*c_1100_0^12 - 56724645549253969408019338752497/2245\ 42886417960167455725600*c_1100_0^11 - 73386232244340214995661575978293/102648176648210362265474560*c_1100\ _0^10 - 5158067004292283004095304676751497/359268618268736267929160\ 9600*c_1100_0^9 - 7386445311321987746238864124010661/35926861826873\ 62679291609600*c_1100_0^8 - 464171982796129258638907902986069/22454\ 2886417960167455725600*c_1100_0^7 - 195730233310542214020870542311597/138180237795667795357369600*c_110\ 0_0^6 - 236292309873594875289999728012483/3592686182687362679291609\ 60*c_1100_0^5 - 170688727841631677448628401680191/71853723653747253\ 5858321920*c_1100_0^4 - 21983470051064909632250904143771/2763604755\ 91335590714739200*c_1100_0^3 - 3677525821967886249605607663707/2245\ 42886417960167455725600*c_1100_0^2 - 11678966266699296883114400012373/3592686182687362679291609600*c_110\ 0_0 - 1513240683120698017186453416581/3592686182687362679291609600, c_0011_0 - 1, c_0011_10 + 35802310804643/30742994335612*c_1100_0^15 + 780169414845571/30742994335612*c_1100_0^14 + 7961845135612179/30742994335612*c_1100_0^13 + 24368019721234975/15371497167806*c_1100_0^12 + 195926972142646665/30742994335612*c_1100_0^11 + 541535911403104353/30742994335612*c_1100_0^10 + 525795225776455885/15371497167806*c_1100_0^9 + 716035148811295463/15371497167806*c_1100_0^8 + 25510559463382097/591211429531*c_1100_0^7 + 391869065286538431/15371497167806*c_1100_0^6 + 138064129015119357/15371497167806*c_1100_0^5 + 75001657087854181/30742994335612*c_1100_0^4 + 27742647223459863/30742994335612*c_1100_0^3 + 3529562211334847/30742994335612*c_1100_0^2 + 561294545706339/15371497167806*c_1100_0 + 69155292393123/15371497167806, c_0011_11 - 393628643279/30742994335612*c_1100_0^15 - 6797436282129/61485988671224*c_1100_0^14 + 16022428176533/30742994335612*c_1100_0^13 + 430155710716951/30742994335612*c_1100_0^12 + 6332586439089175/61485988671224*c_1100_0^11 + 25785522058190043/61485988671224*c_1100_0^10 + 33335661039625437/30742994335612*c_1100_0^9 + 115073875608233637/61485988671224*c_1100_0^8 + 2545979489746431/1182422859062*c_1100_0^7 + 12118607829991839/7685748583903*c_1100_0^6 + 21372835928612303/30742994335612*c_1100_0^5 + 6810064803476641/30742994335612*c_1100_0^4 + 5319829052241143/61485988671224*c_1100_0^3 + 169285830591702/7685748583903*c_1100_0^2 + 176986384522713/30742994335612*c_1100_0 + 63560549340257/61485988671224, c_0011_12 + 1, c_0011_4 + 6945332651395/7685748583903*c_1100_0^15 + 151586357076098/7685748583903*c_1100_0^14 + 1549983089864555/7685748583903*c_1100_0^13 + 9511951301424289/7685748583903*c_1100_0^12 + 38371524458892917/7685748583903*c_1100_0^11 + 106550731032670667/7685748583903*c_1100_0^10 + 208194648009525081/7685748583903*c_1100_0^9 + 285917287474595709/7685748583903*c_1100_0^8 + 20615530116881087/591211429531*c_1100_0^7 + 160987189945808184/7685748583903*c_1100_0^6 + 57534091175738241/7685748583903*c_1100_0^5 + 14905581477618142/7685748583903*c_1100_0^4 + 5280280902109195/7685748583903*c_1100_0^3 + 814098200729544/7685748583903*c_1100_0^2 + 208777973824870/7685748583903*c_1100_0 + 31065755743640/7685748583903, c_0011_6 - 71832320397535/122971977342448*c_1100_0^15 - 1561042671034043/122971977342448*c_1100_0^14 - 7948156185728289/61485988671224*c_1100_0^13 - 97133320729475165/122971977342448*c_1100_0^12 - 195055983519609477/61485988671224*c_1100_0^11 - 1078849777401806773/122971977342448*c_1100_0^10 - 2101534120592077505/122971977342448*c_1100_0^9 - 2883476384546805679/122971977342448*c_1100_0^8 - 13051359288246043/591211429531*c_1100_0^7 - 831522618839792481/61485988671224*c_1100_0^6 - 317514664657611873/61485988671224*c_1100_0^5 - 186387927180570707/122971977342448*c_1100_0^4 - 62325320388721373/122971977342448*c_1100_0^3 - 563816195539421/7685748583903*c_1100_0^2 - 3055789047458533/122971977342448*c_1100_0 - 374847043702719/122971977342448, c_0101_0 + 8707841137316/7685748583903*c_1100_0^15 + 189809996535031/7685748583903*c_1100_0^14 + 1938456298711799/7685748583903*c_1100_0^13 + 11880874953631000/7685748583903*c_1100_0^12 + 47866611868969293/7685748583903*c_1100_0^11 + 132764913250255116/7685748583903*c_1100_0^10 + 259211434581359399/7685748583903*c_1100_0^9 + 355952876821766258/7685748583903*c_1100_0^8 + 25704328671048171/591211429531*c_1100_0^7 + 201890384684689020/7685748583903*c_1100_0^6 + 73448175076352876/7685748583903*c_1100_0^5 + 19570368733948065/7685748583903*c_1100_0^4 + 6759900315828669/7685748583903*c_1100_0^3 + 1054362357239482/7685748583903*c_1100_0^2 + 273498470591706/7685748583903*c_1100_0 + 39773596880956/7685748583903, c_0101_1 + 184203652298961/122971977342448*c_1100_0^15 + 4026977536548709/122971977342448*c_1100_0^14 + 20624965115954847/61485988671224*c_1100_0^13 + 253692675106975395/122971977342448*c_1100_0^12 + 513104893987952011/61485988671224*c_1100_0^11 + 2859633765426441691/122971977342448*c_1100_0^10 + 5613783611839387487/122971977342448*c_1100_0^9 + 7761417704442620369/122971977342448*c_1100_0^8 + 35356168654000355/591211429531*c_1100_0^7 + 2253719372141743263/61485988671224*c_1100_0^6 + 840261023949794015/61485988671224*c_1100_0^5 + 459625021669387789/122971977342448*c_1100_0^4 + 156487998474354803/122971977342448*c_1100_0^3 + 1536597938195248/7685748583903*c_1100_0^2 + 6368192632065403/122971977342448*c_1100_0 + 931706524816577/122971977342448, c_0101_5 + 6945332651395/7685748583903*c_1100_0^15 + 151586357076098/7685748583903*c_1100_0^14 + 1549983089864555/7685748583903*c_1100_0^13 + 9511951301424289/7685748583903*c_1100_0^12 + 38371524458892917/7685748583903*c_1100_0^11 + 106550731032670667/7685748583903*c_1100_0^10 + 208194648009525081/7685748583903*c_1100_0^9 + 285917287474595709/7685748583903*c_1100_0^8 + 20615530116881087/591211429531*c_1100_0^7 + 160987189945808184/7685748583903*c_1100_0^6 + 57534091175738241/7685748583903*c_1100_0^5 + 14905581477618142/7685748583903*c_1100_0^4 + 5280280902109195/7685748583903*c_1100_0^3 + 814098200729544/7685748583903*c_1100_0^2 + 201092225240967/7685748583903*c_1100_0 + 31065755743640/7685748583903, c_0101_7 + 297873916963795/122971977342448*c_1100_0^15 + 6506399802098591/122971977342448*c_1100_0^14 + 33292439113696069/61485988671224*c_1100_0^13 + 409047749528972521/122971977342448*c_1100_0^12 + 826204307011840737/61485988671224*c_1100_0^11 + 4597406290774397169/122971977342448*c_1100_0^10 + 9009702767977396605/122971977342448*c_1100_0^9 + 12434340222919669347/122971977342448*c_1100_0^8 + 56556213583119802/591211429531*c_1100_0^7 + 3605488775228853445/61485988671224*c_1100_0^6 + 1354808782299864605/61485988671224*c_1100_0^5 + 760041201005605751/122971977342448*c_1100_0^4 + 258261608378741113/122971977342448*c_1100_0^3 + 2485978391991499/7685748583903*c_1100_0^2 + 10626964641997889/122971977342448*c_1100_0 + 1551863542797283/122971977342448, c_0101_9 - 284249199327807/122971977342448*c_1100_0^15 - 6202151361148477/122971977342448*c_1100_0^14 - 31705575082618157/61485988671224*c_1100_0^13 - 389193780394381233/122971977342448*c_1100_0^12 - 392723031739723047/30742994335612*c_1100_0^11 - 4367846499523737727/122971977342448*c_1100_0^10 - 8557292405851141965/122971977342448*c_1100_0^9 - 11812244435569281329/122971977342448*c_1100_0^8 - 53781541287819105/591211429531*c_1100_0^7 - 3437609388851988377/61485988671224*c_1100_0^6 - 1298151368795270583/61485988671224*c_1100_0^5 - 728436178191631395/122971977342448*c_1100_0^4 - 245426863916889303/122971977342448*c_1100_0^3 - 9752972985076795/30742994335612*c_1100_0^2 - 10032830839475417/122971977342448*c_1100_0 - 1486920891954593/122971977342448, c_1001_10 - 6573618310271/9459382872496*c_1100_0^15 - 143483931691089/9459382872496*c_1100_0^14 - 733463093600477/4729691436248*c_1100_0^13 - 8999022297235881/9459382872496*c_1100_0^12 - 2267444490884655/591211429531*c_1100_0^11 - 100646889896343555/9459382872496*c_1100_0^10 - 196457267901410165/9459382872496*c_1100_0^9 - 269659397838245669/9459382872496*c_1100_0^8 - 15826031583546740/591211429531*c_1100_0^7 - 76877077324358273/4729691436248*c_1100_0^6 - 28782467550938915/4729691436248*c_1100_0^5 - 16768688461118851/9459382872496*c_1100_0^4 - 5781543450044091/9459382872496*c_1100_0^3 - 188169643465145/2364845718124*c_1100_0^2 - 280763296152385/9459382872496*c_1100_0 - 33829976503493/9459382872496, c_1100_0^16 + 22*c_1100_0^15 + 227*c_1100_0^14 + 1409*c_1100_0^13 + 5769*c_1100_0^12 + 16337*c_1100_0^11 + 32778*c_1100_0^10 + 46736*c_1100_0^9 + 46417*c_1100_0^8 + 30782*c_1100_0^7 + 13132*c_1100_0^6 + 4075*c_1100_0^5 + 1312*c_1100_0^4 + 291*c_1100_0^3 + 59*c_1100_0^2 + 12*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.530 Total time: 0.740 seconds, Total memory usage: 32.09MB