Magma V2.19-8 Wed Aug 21 2013 01:03:28 on localhost [Seed = 762000666] Type ? for help. Type -D to quit. Loading file "L14n20221__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n20221 geometric_solution 12.06074585 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 3120 0132 1 1 1 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 1 0 -1 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 0.642841776095 1.494898627797 0 4 0 2 0132 0132 3120 1023 0 1 0 1 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 0 0 0 0 0 0 0 0 0 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 0.642841776095 1.494898627797 5 0 4 1 0132 0132 2031 1023 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 0 0 0 0 0 -1 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 0 0 0 0.497456457740 0.290438431001 6 4 0 7 0132 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 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 0.372957840829 0.494307909244 3 1 8 2 1302 0132 0132 1302 0 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 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 0.388153323121 0.639914501894 2 7 8 9 0132 2103 3012 0132 1 0 1 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 -4 0 4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541750801514 0.637115465058 3 10 9 7 0132 0132 3201 2103 1 1 1 0 0 -1 1 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 4 -4 0 -1 0 1 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.466267599919 1.609060752877 11 5 3 6 0132 2103 0132 2103 1 1 1 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 4 1 -5 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 0.744021620668 1.034432100330 12 5 10 4 0132 1230 2031 0132 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 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 0.185714086129 0.559878409482 6 10 5 11 2310 0213 0132 0213 1 0 1 1 0 1 0 -1 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 -4 0 4 0 0 0 0 -1 1 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393582887031 0.595438968677 12 6 9 8 2031 0132 0213 1302 1 1 0 1 0 1 -1 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 -4 4 0 0 0 -1 1 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393582887031 0.595438968677 7 12 12 9 0132 0132 2031 0213 1 1 0 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 0 4 -4 0 0 0 0 -1 1 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.227443356101 1.168776251319 8 11 10 11 0132 0132 1302 1302 1 1 1 0 0 0 0 0 0 0 -1 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 0 0 5 -5 -1 5 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.227443356101 1.168776251319 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0110_10'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0110_4']), 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : negation(d['c_0110_10']), 'c_1010_12' : negation(d['c_0101_8']), 'c_1010_11' : d['c_0110_10'], 'c_1010_10' : negation(d['c_0101_2']), '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' : d['c_0011_9'], 'c_0101_10' : d['c_0011_9'], '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' : d['c_0101_2'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_0110_10'], 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_8'], 'c_1100_10' : d['c_0101_8'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_0110_4']), 'c_1010_9' : d['c_0101_8'], 'c_1010_8' : d['c_0101_5'], '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_0011_9'], '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_9'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), '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_6'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_8'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], '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' : negation(d['c_0101_6']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0110_10'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_9'], 'c_0110_6' : d['c_0101_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_9, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6, c_0101_8, c_0110_10, c_0110_4, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 27112220332921178877/1870429351936*c_1001_10^15 - 135425114115774608101/1870429351936*c_1001_10^14 - 207539698596068249301/935214675968*c_1001_10^13 - 1242246891510204146433/1870429351936*c_1001_10^12 - 719559497712157947707/467607337984*c_1001_10^11 - 1292820153728724688745/467607337984*c_1001_10^10 - 7603328566462728291385/1870429351936*c_1001_10^9 - 4402159959625763693715/935214675968*c_1001_10^8 - 8017888356087373625333/1870429351936*c_1001_10^7 - 2545052594069507593191/1870429351936*c_1001_10^6 + 4911480407700131428017/1870429351936*c_1001_10^5 + 5261055960575442296715/1870429351936*c_1001_10^4 + 604402571258388171403/1870429351936*c_1001_10^3 - 270532219388586581651/467607337984*c_1001_10^2 - 456122085910846020689/1870429351936*c_1001_10 - 26640840644914281769/935214675968, c_0011_0 - 1, c_0011_10 + 2042011110393/7306364656*c_1001_10^15 + 10105365768915/7306364656*c_1001_10^14 + 1926455294447/456647791*c_1001_10^13 + 92267833759061/7306364656*c_1001_10^12 + 106449733984227/3653182328*c_1001_10^11 + 47599716470939/913295582*c_1001_10^10 + 557645386934645/7306364656*c_1001_10^9 + 80226989075929/913295582*c_1001_10^8 + 580576825152617/7306364656*c_1001_10^7 + 171822671127021/7306364656*c_1001_10^6 - 371901271029291/7306364656*c_1001_10^5 - 378417007538301/7306364656*c_1001_10^4 - 33339423385073/7306364656*c_1001_10^3 + 39690844551225/3653182328*c_1001_10^2 + 31299169852761/7306364656*c_1001_10 + 870145024355/1826591164, c_0011_11 + 81006031630035/116901834496*c_1001_10^15 + 407357481532995/116901834496*c_1001_10^14 + 626461058042739/58450917248*c_1001_10^13 + 3749210883556463/116901834496*c_1001_10^12 + 2178094720889787/29225458624*c_1001_10^11 + 3925886436476789/29225458624*c_1001_10^10 + 23154792861503535/116901834496*c_1001_10^9 + 13463529503032741/58450917248*c_1001_10^8 + 24637449344444539/116901834496*c_1001_10^7 + 8186517309641409/116901834496*c_1001_10^6 - 14611081717021343/116901834496*c_1001_10^5 - 16235094823058269/116901834496*c_1001_10^4 - 2165309201822277/116901834496*c_1001_10^3 + 822738298857867/29225458624*c_1001_10^2 + 1452673316777239/116901834496*c_1001_10 + 87767440416399/58450917248, c_0011_9 - 52065737792205/58450917248*c_1001_10^15 - 261803840516573/58450917248*c_1001_10^14 - 402601395711565/29225458624*c_1001_10^13 - 2409466266651057/58450917248*c_1001_10^12 - 1399723555333029/14612729312*c_1001_10^11 - 2522813860869755/14612729312*c_1001_10^10 - 14878918893424689/58450917248*c_1001_10^9 - 8650963194666523/29225458624*c_1001_10^8 - 15829664472766373/58450917248*c_1001_10^7 - 5256689123888543/58450917248*c_1001_10^6 + 9392203089670081/58450917248*c_1001_10^5 + 10431131019422595/58450917248*c_1001_10^4 + 1388508513299675/58450917248*c_1001_10^3 - 528758278666485/14612729312*c_1001_10^2 - 932906048885449/58450917248*c_1001_10 - 56328838875953/29225458624, c_0101_0 + 137850833084661/58450917248*c_1001_10^15 + 689381946828717/58450917248*c_1001_10^14 + 1057185912111301/29225458624*c_1001_10^13 + 6327851993614745/58450917248*c_1001_10^12 + 3667322043656727/14612729312*c_1001_10^11 + 6593147363577641/14612729312*c_1001_10^10 + 38797857573801809/58450917248*c_1001_10^9 + 22482332222412483/29225458624*c_1001_10^8 + 40989028714904301/58450917248*c_1001_10^7 + 13133481688869983/58450917248*c_1001_10^6 - 24938163554395385/58450917248*c_1001_10^5 - 26906895934125251/58450917248*c_1001_10^4 - 3198397492944739/58450917248*c_1001_10^3 + 1378113607976455/14612729312*c_1001_10^2 + 2350439814466953/58450917248*c_1001_10 + 138743795821833/29225458624, c_0101_1 - 1, c_0101_2 + 74670712006521/116901834496*c_1001_10^15 + 375118353413737/116901834496*c_1001_10^14 + 576575952305353/58450917248*c_1001_10^13 + 3450722845571789/116901834496*c_1001_10^12 + 2003803744428601/29225458624*c_1001_10^11 + 3609987957259919/29225458624*c_1001_10^10 + 21282430501198861/116901834496*c_1001_10^9 + 12366881940028735/58450917248*c_1001_10^8 + 22614625064711409/116901834496*c_1001_10^7 + 7464238528176867/116901834496*c_1001_10^6 - 13477687264442813/116901834496*c_1001_10^5 - 14892597336679543/116901834496*c_1001_10^4 - 1943855440786927/116901834496*c_1001_10^3 + 756515211580313/29225458624*c_1001_10^2 + 1325898563630725/116901834496*c_1001_10 + 79668338861501/58450917248, c_0101_5 - 42458144898285/116901834496*c_1001_10^15 - 209867537112369/116901834496*c_1001_10^14 - 319874129155083/58450917248*c_1001_10^13 - 1915109301519361/116901834496*c_1001_10^12 - 552076847278999/14612729312*c_1001_10^11 - 1973801778256905/29225458624*c_1001_10^10 - 11555960911409377/116901834496*c_1001_10^9 - 6644945399766837/58450917248*c_1001_10^8 - 12011507529813237/116901834496*c_1001_10^7 - 3521371088706931/116901834496*c_1001_10^6 + 7737477869434333/116901834496*c_1001_10^5 + 7822356900467983/116901834496*c_1001_10^4 + 662545905376671/116901834496*c_1001_10^3 - 102805645674689/7306364656*c_1001_10^2 - 643308529944433/116901834496*c_1001_10 - 35540086384419/58450917248, c_0101_6 - 74670712006521/116901834496*c_1001_10^15 - 375118353413737/116901834496*c_1001_10^14 - 576575952305353/58450917248*c_1001_10^13 - 3450722845571789/116901834496*c_1001_10^12 - 2003803744428601/29225458624*c_1001_10^11 - 3609987957259919/29225458624*c_1001_10^10 - 21282430501198861/116901834496*c_1001_10^9 - 12366881940028735/58450917248*c_1001_10^8 - 22614625064711409/116901834496*c_1001_10^7 - 7464238528176867/116901834496*c_1001_10^6 + 13477687264442813/116901834496*c_1001_10^5 + 14892597336679543/116901834496*c_1001_10^4 + 1943855440786927/116901834496*c_1001_10^3 - 756515211580313/29225458624*c_1001_10^2 - 1325898563630725/116901834496*c_1001_10 - 79668338861501/58450917248, c_0101_8 - 4010105266293/29225458624*c_1001_10^15 - 19860166879669/29225458624*c_1001_10^14 - 30300209557637/14612729312*c_1001_10^13 - 181399258761977/29225458624*c_1001_10^12 - 104675832531193/7306364656*c_1001_10^11 - 187291697038015/7306364656*c_1001_10^10 - 1097429083959209/29225458624*c_1001_10^9 - 631835258824355/14612729312*c_1001_10^8 - 1143667136889485/29225458624*c_1001_10^7 - 340385313176071/29225458624*c_1001_10^6 + 730228566297737/29225458624*c_1001_10^5 + 746000654463883/29225458624*c_1001_10^4 + 67259165248627/29225458624*c_1001_10^3 - 39080383027801/7306364656*c_1001_10^2 - 61967064077697/29225458624*c_1001_10 - 3458425425513/14612729312, c_0110_10 + 13516716889263/58450917248*c_1001_10^15 + 66888318204031/58450917248*c_1001_10^14 + 102009230652711/29225458624*c_1001_10^13 + 610719539505659/58450917248*c_1001_10^12 + 352289625309135/14612729312*c_1001_10^11 + 630104935956957/14612729312*c_1001_10^10 + 3690895860803883/58450917248*c_1001_10^9 + 2123962293974449/29225458624*c_1001_10^8 + 3842543162357495/58450917248*c_1001_10^7 + 1136980241601493/58450917248*c_1001_10^6 - 2461665887734075/58450917248*c_1001_10^5 - 2504355526963265/58450917248*c_1001_10^4 - 220450310670521/58450917248*c_1001_10^3 + 131323441710007/14612729312*c_1001_10^2 + 207123760731475/58450917248*c_1001_10 + 11511041835075/29225458624, c_0110_4 - 350372378175843/116901834496*c_1001_10^15 - 1753882247071171/116901834496*c_1001_10^14 - 2690947776527955/58450917248*c_1001_10^13 - 16106426832801279/116901834496*c_1001_10^12 - 9338447831742055/29225458624*c_1001_10^11 - 16796282684415201/29225458624*c_1001_10^10 - 98878145648802479/116901834496*c_1001_10^9 - 57331546384853701/58450917248*c_1001_10^8 - 104592682494520011/116901834496*c_1001_10^7 - 33731201905916833/116901834496*c_1001_10^6 + 63354014373233583/116901834496*c_1001_10^5 + 68706389204930045/116901834496*c_1001_10^4 + 8340650426676405/116901834496*c_1001_10^3 - 3512742427533223/29225458624*c_1001_10^2 - 6026778192564631/116901834496*c_1001_10 - 357155930505167/58450917248, c_1001_10^16 + 16/3*c_1001_10^15 + 17*c_1001_10^14 + 51*c_1001_10^13 + 365/3*c_1001_10^12 + 680/3*c_1001_10^11 + 345*c_1001_10^10 + 1259/3*c_1001_10^9 + 1217/3*c_1001_10^8 + 194*c_1001_10^7 - 448/3*c_1001_10^6 - 766/3*c_1001_10^5 - 88*c_1001_10^4 + 97/3*c_1001_10^3 + 91/3*c_1001_10^2 + 23/3*c_1001_10 + 2/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB