Magma V2.19-8 Wed Aug 21 2013 00:51:37 on localhost [Seed = 3516384427] Type ? for help. Type -D to quit. Loading file "L11n183__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n183 geometric_solution 12.23225928 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 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 1 0 -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 0.442259926046 0.643843757329 0 4 4 5 0132 0132 1302 0132 0 1 1 1 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 0 -1 1 0 -1 0 0 0 0 0 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.176650399717 0.595067910931 0 0 7 6 3012 0132 0132 0132 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 -1 0 1 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 0.768651226364 0.887315286760 8 9 10 0 0132 0132 0132 0132 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 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 0.566496376238 0.779420329749 1 1 8 5 2031 0132 0213 2031 0 0 1 1 0 0 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 0 0 0 0 0 -1 1 0 0 0 0 0 -3 2 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541538351822 1.544382665766 8 4 1 9 2103 1302 0132 2310 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 0 0 0 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 1.255695379008 0.965590978991 11 9 2 10 0132 0213 0132 3120 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 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 0.515679840743 0.597152838191 11 10 12 2 2103 0132 0132 0132 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 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 0.215303029125 0.803429146663 3 4 5 12 0132 0213 2103 3120 0 1 0 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 0 0 0 -1 0 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 0.399857538291 1.676137253407 5 3 6 12 3201 0132 0213 0321 1 0 0 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 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 0.698540495290 0.696996655887 6 7 11 3 3120 0132 1230 0132 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 0 0 0 0 0 0 0 0 0 1 0 0 -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 0.711651265937 1.601517169800 6 12 7 10 0132 0213 2103 3012 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 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 0.677773641809 0.585725676847 8 9 11 7 3120 0321 0213 0132 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 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 0.985477667036 1.011226825363 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_11'], 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0101_2'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0011_5'], 'c_1001_4' : d['c_0011_5'], 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_5'], 'c_1010_12' : d['c_1001_3'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(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'], 's_2_0' : d['1'], 's_2_1' : 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' : negation(d['1']), 's_2_7' : negation(d['1']), 's_2_12' : negation(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' : negation(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_1100_9' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_12']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : negation(d['c_0101_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_2']), 'c_1100_10' : d['c_0101_6'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0011_12'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_5'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0011_12']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0011_11'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : d['c_0101_11'], '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_6'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0011_5'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : negation(d['c_0011_11'])})} 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_3, c_0011_5, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 5538877096402403/15036693392098400*c_1001_3^14 - 466483403733747/791404915373600*c_1001_3^13 + 15695125820216573/7518346696049200*c_1001_3^12 - 5965311537291509/1503669339209840*c_1001_3^11 + 7758763904294007/1366972126554400*c_1001_3^10 - 18062410661266211/15036693392098400*c_1001_3^9 + 62745545056140601/7518346696049200*c_1001_3^8 + 57780191683154563/7518346696049200*c_1001_3^7 + 273579619911643171/15036693392098400*c_1001_3^6 + 45159468524147/37591733480246*c_1001_3^5 + 446237036454510043/15036693392098400*c_1001_3^4 + 76863922358678/4946280721085*c_1001_3^3 + 205644561651835179/15036693392098400*c_1001_3^2 + 88247980627486681/3759173348024600*c_1001_3 - 16838957830624209/15036693392098400, c_0011_0 - 1, c_0011_10 + 1237316079/37966174880*c_1001_3^14 - 300077341/37966174880*c_1001_3^13 + 2774068073/18983087440*c_1001_3^12 - 3445563529/18983087440*c_1001_3^11 + 1238112525/7593234976*c_1001_3^10 + 2684687817/37966174880*c_1001_3^9 + 3978386881/3796617488*c_1001_3^8 + 28788595599/18983087440*c_1001_3^7 + 118732135519/37966174880*c_1001_3^6 + 3614361373/2372885930*c_1001_3^5 + 8541474603/7593234976*c_1001_3^4 - 980908923/949154372*c_1001_3^3 - 96725859313/37966174880*c_1001_3^2 - 21704034581/9491543720*c_1001_3 - 8533561129/7593234976, c_0011_11 - 1182687367/18983087440*c_1001_3^14 + 28110751/18983087440*c_1001_3^13 - 443527675/1898308744*c_1001_3^12 + 2515050913/9491543720*c_1001_3^11 - 1282544901/18983087440*c_1001_3^10 - 9014077911/18983087440*c_1001_3^9 - 17425822993/9491543720*c_1001_3^8 - 29958572117/9491543720*c_1001_3^7 - 102492155551/18983087440*c_1001_3^6 - 26196526903/9491543720*c_1001_3^5 + 2166421291/18983087440*c_1001_3^4 + 2255967097/949154372*c_1001_3^3 + 96902680469/18983087440*c_1001_3^2 + 35080423613/9491543720*c_1001_3 + 2007825307/18983087440, c_0011_12 + 884434437/7593234976*c_1001_3^14 - 3688131411/37966174880*c_1001_3^13 + 11182886327/18983087440*c_1001_3^12 - 18660918447/18983087440*c_1001_3^11 + 42176440167/37966174880*c_1001_3^10 - 1641678965/7593234976*c_1001_3^9 + 63857858771/18983087440*c_1001_3^8 + 17421855069/3796617488*c_1001_3^7 + 290135807753/37966174880*c_1001_3^6 + 8642453203/4745771860*c_1001_3^5 + 122246745913/37966174880*c_1001_3^4 - 4890576711/949154372*c_1001_3^3 - 44256575531/7593234976*c_1001_3^2 - 15723980637/9491543720*c_1001_3 - 161381384979/37966174880, c_0011_3 + 884434437/7593234976*c_1001_3^14 - 3688131411/37966174880*c_1001_3^13 + 11182886327/18983087440*c_1001_3^12 - 18660918447/18983087440*c_1001_3^11 + 42176440167/37966174880*c_1001_3^10 - 1641678965/7593234976*c_1001_3^9 + 63857858771/18983087440*c_1001_3^8 + 17421855069/3796617488*c_1001_3^7 + 290135807753/37966174880*c_1001_3^6 + 8642453203/4745771860*c_1001_3^5 + 122246745913/37966174880*c_1001_3^4 - 4890576711/949154372*c_1001_3^3 - 44256575531/7593234976*c_1001_3^2 - 15723980637/9491543720*c_1001_3 - 123415210099/37966174880, c_0011_5 - 1, c_0101_0 - 884434437/7593234976*c_1001_3^14 + 3688131411/37966174880*c_1001_3^13 - 11182886327/18983087440*c_1001_3^12 + 18660918447/18983087440*c_1001_3^11 - 42176440167/37966174880*c_1001_3^10 + 1641678965/7593234976*c_1001_3^9 - 63857858771/18983087440*c_1001_3^8 - 17421855069/3796617488*c_1001_3^7 - 290135807753/37966174880*c_1001_3^6 - 8642453203/4745771860*c_1001_3^5 - 122246745913/37966174880*c_1001_3^4 + 4890576711/949154372*c_1001_3^3 + 44256575531/7593234976*c_1001_3^2 + 15723980637/9491543720*c_1001_3 + 161381384979/37966174880, c_0101_10 - 992867423/113898524640*c_1001_3^14 + 2086232583/37966174880*c_1001_3^13 - 21089653/11389852464*c_1001_3^12 + 11504689297/56949262320*c_1001_3^11 - 12862884049/113898524640*c_1001_3^10 - 34600696769/113898524640*c_1001_3^9 + 8499922841/18983087440*c_1001_3^8 + 74718606217/56949262320*c_1001_3^7 + 317282302961/113898524640*c_1001_3^6 + 68316511187/14237315580*c_1001_3^5 + 114110028443/37966174880*c_1001_3^4 - 1416109727/2847463116*c_1001_3^3 - 62645777093/37966174880*c_1001_3^2 - 118651683269/28474631160*c_1001_3 - 297119141947/113898524640, c_0101_11 + 95512127/4745771860*c_1001_3^14 + 17064387/9491543720*c_1001_3^13 + 311429257/4745771860*c_1001_3^12 - 82335742/1186442965*c_1001_3^11 - 40899037/1186442965*c_1001_3^10 + 2109283787/9491543720*c_1001_3^9 + 658693058/1186442965*c_1001_3^8 + 4814769179/4745771860*c_1001_3^7 + 1666766081/949154372*c_1001_3^6 + 4169627001/9491543720*c_1001_3^5 - 2362596129/9491543720*c_1001_3^4 - 1170863193/949154372*c_1001_3^3 - 4024424287/2372885930*c_1001_3^2 - 2859124049/1898308744*c_1001_3 + 2629387397/9491543720, c_0101_2 - 4132196039/113898524640*c_1001_3^14 + 1648780703/37966174880*c_1001_3^13 - 9102302489/56949262320*c_1001_3^12 + 3657913181/11389852464*c_1001_3^11 - 36463244761/113898524640*c_1001_3^10 - 14075245337/113898524640*c_1001_3^9 - 14886198191/18983087440*c_1001_3^8 - 45704907119/56949262320*c_1001_3^7 - 151380293623/113898524640*c_1001_3^6 + 1530939409/2847463116*c_1001_3^5 - 5440626813/37966174880*c_1001_3^4 + 1808226649/2847463116*c_1001_3^3 + 21868608771/37966174880*c_1001_3^2 - 3911192993/28474631160*c_1001_3 + 39954828317/113898524640, c_0101_6 - 1197640067/113898524640*c_1001_3^14 + 3415283607/37966174880*c_1001_3^13 - 147582949/11389852464*c_1001_3^12 + 19198570693/56949262320*c_1001_3^11 - 29005125301/113898524640*c_1001_3^10 - 35943372041/113898524640*c_1001_3^9 + 15220144669/18983087440*c_1001_3^8 + 111103958713/56949262320*c_1001_3^7 + 530860249469/113898524640*c_1001_3^6 + 203893450771/28474631160*c_1001_3^5 + 175462399467/37966174880*c_1001_3^4 - 393133403/711865779*c_1001_3^3 - 73467930537/37966174880*c_1001_3^2 - 92783169973/14237315580*c_1001_3 - 427779731683/113898524640, c_1001_0 + 418341941/56949262320*c_1001_3^14 + 2271671131/18983087440*c_1001_3^13 + 2356839443/28474631160*c_1001_3^12 + 10056774413/28474631160*c_1001_3^11 - 14170367669/56949262320*c_1001_3^10 - 19341247357/56949262320*c_1001_3^9 + 16023168221/9491543720*c_1001_3^8 + 112575053861/28474631160*c_1001_3^7 + 95971609121/11389852464*c_1001_3^6 + 40883674499/3559328895*c_1001_3^5 + 146810031663/18983087440*c_1001_3^4 - 2067122953/1423731558*c_1001_3^3 - 91732826009/18983087440*c_1001_3^2 - 30363967403/2847463116*c_1001_3 - 398915883407/56949262320, c_1001_3^15 + 5*c_1001_3^13 - 4*c_1001_3^12 + 5*c_1001_3^11 + 4*c_1001_3^10 + 27*c_1001_3^9 + 68*c_1001_3^8 + 119*c_1001_3^7 + 115*c_1001_3^6 + 105*c_1001_3^5 + 19*c_1001_3^4 - 87*c_1001_3^3 - 89*c_1001_3^2 - 103*c_1001_3 - 57 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.440 seconds, Total memory usage: 32.09MB