Magma V2.19-8 Wed Aug 21 2013 01:02:29 on localhost [Seed = 3431651131] Type ? for help. Type -D to quit. Loading file "L14n15033__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15033 geometric_solution 11.71268194 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1302 0132 1 0 0 1 0 0 0 0 1 0 -1 0 0 2 0 -2 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 1 0 -1 -1 -5 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350516052273 0.579659065953 0 4 6 5 0132 0132 0132 0132 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 0 0 0 0 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 0.857026632582 0.764889200231 0 0 6 7 2031 0132 3012 0132 1 1 1 0 0 0 0 0 0 0 0 0 1 -1 0 0 1 -2 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 -6 5 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.236125691031 1.263242198383 8 9 0 4 0132 0132 0132 0213 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.129483564130 0.849921411787 5 1 10 3 0213 0132 0132 0213 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 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 0.552721416043 0.372967419842 4 11 1 9 0213 0132 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.635696806429 0.369446233916 8 2 8 1 3120 1230 0213 0132 1 0 0 1 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 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 0.786856870160 0.406359614924 12 12 2 9 0132 1302 0132 1302 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 1 0 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432070223219 1.186272648172 3 6 9 6 0132 0213 3201 3120 1 0 0 1 0 0 0 0 0 0 0 0 2 -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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.229432555349 0.690807469564 8 3 7 5 2310 0132 2031 0213 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 -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 0.293081987078 0.963743335930 12 11 11 4 1230 0321 1302 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 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 -0.159102919330 0.785597266377 10 5 12 10 2031 0132 0321 0321 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 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 0.541548426771 0.331365533526 7 10 11 7 0132 3012 0321 2031 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 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.328323526460 0.685791157841 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : negation(d['c_0101_9']), 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_3_10' : 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_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), '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_1100_9' : d['c_1001_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0101_11'], 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_9'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_11']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0011_6']), '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_11'], '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' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_11'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0011_11']), '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_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_8']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0011_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : negation(d['c_0101_8']), 'c_0110_7' : negation(d['c_0101_11']), 'c_1100_8' : d['c_0011_3']})} 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_3, c_0011_6, c_0101_1, c_0101_11, c_0101_2, c_0101_7, c_0101_8, c_0101_9, c_1001_11, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 21823610941656091502227/8053190151916770*c_1001_4^16 + 19997220504556571706883/8053190151916770*c_1001_4^15 + 130104720926167740376459/4026595075958385*c_1001_4^14 + 196459407145782235141979/8053190151916770*c_1001_4^13 + 138813768608035000287917/894798905768530*c_1001_4^12 + 72474227872988737149143/805319015191677*c_1001_4^11 + 174855473849361837595088/447399452884265*c_1001_4^10 + 124242792246740842481644/805319015191677*c_1001_4^9 + 3557424724251824426206/5777037411705*c_1001_4^8 + 796383552773571823183318/4026595075958385*c_1001_4^7 + 2086978417510523115311543/2684396717305590*c_1001_4^6 + 1767624975046498982319937/4026595075958385*c_1001_4^5 + 660619450066179152873671/894798905768530*c_1001_4^4 + 4958341468725249781240657/8053190151916770*c_1001_4^3 + 283647865080105183256763/1150455735988110*c_1001_4^2 + 188260680948355698827047/1150455735988110*c_1001_4 + 130345642620112518318103/4026595075958385, c_0011_0 - 1, c_0011_10 + 282260/983241*c_1001_4^16 + 84824/327747*c_1001_4^15 + 158815/46821*c_1001_4^14 + 2459615/983241*c_1001_4^13 + 5297872/327747*c_1001_4^12 + 8882254/983241*c_1001_4^11 + 39860864/983241*c_1001_4^10 + 14697304/983241*c_1001_4^9 + 62825659/983241*c_1001_4^8 + 2030219/109249*c_1001_4^7 + 11340541/140463*c_1001_4^6 + 41840165/983241*c_1001_4^5 + 24979363/327747*c_1001_4^4 + 59118491/983241*c_1001_4^3 + 24573905/983241*c_1001_4^2 + 15302963/983241*c_1001_4 + 1098002/983241, c_0011_11 + 22397281369/140903351505*c_1001_4^16 + 4597432352/46967783835*c_1001_4^15 + 12307991086/6709683405*c_1001_4^14 + 116745012583/140903351505*c_1001_4^13 + 399703266257/46967783835*c_1001_4^12 + 64942122859/28180670301*c_1001_4^11 + 2933934846793/140903351505*c_1001_4^10 + 45420731296/28180670301*c_1001_4^9 + 4613857421123/140903351505*c_1001_4^8 + 16110303539/46967783835*c_1001_4^7 + 838572511034/20129050215*c_1001_4^6 + 1619591754358/140903351505*c_1001_4^5 + 1627691132246/46967783835*c_1001_4^4 + 3162985493299/140903351505*c_1001_4^3 + 493233162367/140903351505*c_1001_4^2 + 979593429013/140903351505*c_1001_4 + 51032256517/140903351505, c_0011_3 + 12216054695/28180670301*c_1001_4^16 + 1107160426/3131185589*c_1001_4^15 + 2312643846/447312227*c_1001_4^14 + 96610648457/28180670301*c_1001_4^13 + 233716592170/9393556767*c_1001_4^12 + 346054423903/28180670301*c_1001_4^11 + 1777364112239/28180670301*c_1001_4^10 + 549755587099/28180670301*c_1001_4^9 + 2833942826731/28180670301*c_1001_4^8 + 216568386053/9393556767*c_1001_4^7 + 514870463665/4025810043*c_1001_4^6 + 1671004181006/28180670301*c_1001_4^5 + 1124468693389/9393556767*c_1001_4^4 + 2557756414643/28180670301*c_1001_4^3 + 1039940465576/28180670301*c_1001_4^2 + 732586405118/28180670301*c_1001_4 + 91986241850/28180670301, c_0011_6 - 59566308296/140903351505*c_1001_4^16 - 17665564633/46967783835*c_1001_4^15 - 33797145254/6709683405*c_1001_4^14 - 513653235467/140903351505*c_1001_4^13 - 1135964166118/46967783835*c_1001_4^12 - 370376417408/28180670301*c_1001_4^11 - 8604458356622/140903351505*c_1001_4^10 - 604546397708/28180670301*c_1001_4^9 - 13648442335852/140903351505*c_1001_4^8 - 1227331923361/46967783835*c_1001_4^7 - 2481399372001/20129050215*c_1001_4^6 - 8720966345447/140903351505*c_1001_4^5 - 5488228839694/46967783835*c_1001_4^4 - 12646721916041/140903351505*c_1001_4^3 - 5312234195063/140903351505*c_1001_4^2 - 3469911537632/140903351505*c_1001_4 - 453361594853/140903351505, c_0101_1 - 1, c_0101_11 - 26634973418/140903351505*c_1001_4^16 - 1560356278/15655927945*c_1001_4^15 - 4870247519/2236561135*c_1001_4^14 - 121041007736/140903351505*c_1001_4^13 - 476357445484/46967783835*c_1001_4^12 - 68911676693/28180670301*c_1001_4^11 - 3536583591656/140903351505*c_1001_4^10 - 48899832539/28180670301*c_1001_4^9 - 5645311300261/140903351505*c_1001_4^8 - 12930275033/46967783835*c_1001_4^7 - 1025925184618/20129050215*c_1001_4^6 - 1877509014761/140903351505*c_1001_4^5 - 2001545666017/46967783835*c_1001_4^4 - 3875743543148/140903351505*c_1001_4^3 - 939744651374/140903351505*c_1001_4^2 - 1279995548606/140903351505*c_1001_4 - 130452096224/140903351505, c_0101_2 + 59566308296/140903351505*c_1001_4^16 + 17665564633/46967783835*c_1001_4^15 + 33797145254/6709683405*c_1001_4^14 + 513653235467/140903351505*c_1001_4^13 + 1135964166118/46967783835*c_1001_4^12 + 370376417408/28180670301*c_1001_4^11 + 8604458356622/140903351505*c_1001_4^10 + 604546397708/28180670301*c_1001_4^9 + 13648442335852/140903351505*c_1001_4^8 + 1227331923361/46967783835*c_1001_4^7 + 2481399372001/20129050215*c_1001_4^6 + 8720966345447/140903351505*c_1001_4^5 + 5488228839694/46967783835*c_1001_4^4 + 12646721916041/140903351505*c_1001_4^3 + 5312234195063/140903351505*c_1001_4^2 + 3329008186127/140903351505*c_1001_4 + 453361594853/140903351505, c_0101_7 + c_1001_4, c_0101_8 - 69371822749/140903351505*c_1001_4^16 - 17998301212/46967783835*c_1001_4^15 - 39185673176/6709683405*c_1001_4^14 - 514642126258/140903351505*c_1001_4^13 - 1313143896902/46967783835*c_1001_4^12 - 359567040109/28180670301*c_1001_4^11 - 9945079200268/140903351505*c_1001_4^10 - 543166622461/28180670301*c_1001_4^9 - 15850673027618/140903351505*c_1001_4^8 - 345306195728/15655927945*c_1001_4^7 - 2880458162894/20129050215*c_1001_4^6 - 8727592700308/140903351505*c_1001_4^5 - 6188253368156/46967783835*c_1001_4^4 - 13678701633229/140903351505*c_1001_4^3 - 5274284713612/140903351505*c_1001_4^2 - 3986259163258/140903351505*c_1001_4 - 477758877952/140903351505, c_0101_9 - c_1001_4^2, c_1001_11 - 3915550859/15655927945*c_1001_4^16 - 2704752236/15655927945*c_1001_4^15 - 6572276108/2236561135*c_1001_4^14 - 24552614263/15655927945*c_1001_4^13 - 217273157131/15655927945*c_1001_4^12 - 15622753287/3131185589*c_1001_4^11 - 539432483293/15655927945*c_1001_4^10 - 18373578204/3131185589*c_1001_4^9 - 850836697288/15655927945*c_1001_4^8 - 81242965442/15655927945*c_1001_4^7 - 154409188454/2236561135*c_1001_4^6 - 377784232173/15655927945*c_1001_4^5 - 937885760778/15655927945*c_1001_4^4 - 649579036819/15655927945*c_1001_4^3 - 164796261717/15655927945*c_1001_4^2 - 178857452818/15655927945*c_1001_4 - 16983264177/15655927945, c_1001_4^17 + c_1001_4^16 + 12*c_1001_4^15 + 10*c_1001_4^14 + 58*c_1001_4^13 + 38*c_1001_4^12 + 147*c_1001_4^11 + 69*c_1001_4^10 + 232*c_1001_4^9 + 92*c_1001_4^8 + 293*c_1001_4^7 + 186*c_1001_4^6 + 286*c_1001_4^5 + 250*c_1001_4^4 + 110*c_1001_4^3 + 68*c_1001_4^2 + 17*c_1001_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.400 seconds, Total memory usage: 32.09MB