Magma V2.19-8 Wed Aug 21 2013 01:06:08 on localhost [Seed = 2463402574] Type ? for help. Type -D to quit. Loading file "L14n31171__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n31171 geometric_solution 11.77118904 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 0 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 -1 0 1 -3 0 1 2 -1 0 0 1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352375719806 0.874099966878 0 5 7 6 0132 0132 0132 0132 0 0 1 1 0 0 -1 1 -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 -1 3 -2 3 0 -3 0 2 -1 0 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.564952701263 0.892214805674 8 0 9 6 0132 0132 0132 2031 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 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 0.984112533747 1.092929630659 10 4 11 0 0132 2031 0132 0132 1 0 1 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 1 0 0 -1 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523124295200 1.008118329145 3 8 0 5 1302 3120 0132 3120 1 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 0 0 -2 2 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603278514515 0.984103665010 4 1 12 9 3120 0132 0132 1302 0 0 1 1 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 1 -1 0 -2 0 0 2 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.564952701263 0.892214805674 8 2 1 9 3120 1302 0132 3120 0 0 1 1 0 0 -1 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 0 2 -2 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 0.555859374303 0.598543981436 10 11 10 1 1230 2031 2031 0132 0 0 1 0 0 0 -1 1 1 0 0 -1 -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 3 -3 -3 0 0 3 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.285222297028 0.449252008549 2 4 12 6 0132 3120 3012 3120 1 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 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 0.337002350385 0.598005833349 6 11 5 2 3120 0132 2031 0132 1 0 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 0 -1 1 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 0.529217587245 0.323798609425 3 7 12 7 0132 3012 1023 1302 0 0 0 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 1 0 0 3 0 -3 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485227025419 0.144872726878 7 9 12 3 1302 0132 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.883666002228 0.772642744039 11 8 10 5 2103 1230 1023 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 -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 0.793507989123 0.688944194888 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_12' : d['c_0101_0'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : negation(d['c_0110_4']), 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_0101_8'], 'c_1010_11' : negation(d['c_0110_4']), 'c_1010_10' : negation(d['c_0101_7']), 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_7']), 'c_0101_11' : negation(d['c_0011_7']), 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : d['c_0101_7'], 'c_1100_6' : d['c_0101_7'], 'c_1100_1' : d['c_0101_7'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_5']), 'c_1100_10' : d['c_0101_7'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0011_4']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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_0101_7']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_5'], 'c_0110_0' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_10'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_7']), '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' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['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_12, c_0011_4, c_0011_7, c_0101_0, c_0101_2, c_0101_3, c_0101_5, c_0101_7, c_0101_8, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 6679725306990553/26934106300000*c_0110_4^13 + 480864287714584919/26934106300000*c_0110_4^12 - 6696690742796061347/80802318900000*c_0110_4^11 + 39518840547088831231/80802318900000*c_0110_4^10 - 27363576903576984049/20200579725000*c_0110_4^9 + 714915800434152829/292762025000*c_0110_4^8 - 140532620289600947851/40401159450000*c_0110_4^7 + 53329282971008813883/13467053150000*c_0110_4^6 - 93123939606503568657/26934106300000*c_0110_4^5 + 194898572421044159329/80802318900000*c_0110_4^4 - 35738358376906882573/26934106300000*c_0110_4^3 + 38043706365981554303/80802318900000*c_0110_4^2 - 3050498099374398559/40401159450000*c_0110_4 + 655270574822910683/40401159450000, c_0011_0 - 1, c_0011_10 - 74802299/3747353920*c_0110_4^13 + 5378899727/3747353920*c_0110_4^12 - 383944298/58552405*c_0110_4^11 + 18260432427/468419240*c_0110_4^10 - 399243099431/3747353920*c_0110_4^9 + 717813146059/3747353920*c_0110_4^8 - 64171972637/234209620*c_0110_4^7 + 36089781779/117104810*c_0110_4^6 - 1001223394481/3747353920*c_0110_4^5 + 691838670989/3747353920*c_0110_4^4 - 22914013759/234209620*c_0110_4^3 + 15244828541/468419240*c_0110_4^2 - 18127477293/3747353920*c_0110_4 + 1092380921/3747353920, c_0011_11 + 319594503/18736769600*c_0110_4^13 - 11528510997/9368384800*c_0110_4^12 + 55154099287/9368384800*c_0110_4^11 - 320513713201/9368384800*c_0110_4^10 + 1819710262457/18736769600*c_0110_4^9 - 408876970671/2342096200*c_0110_4^8 + 1152750354721/4684192400*c_0110_4^7 - 1305437169329/4684192400*c_0110_4^6 + 4497764651657/18736769600*c_0110_4^5 - 1533326986309/9368384800*c_0110_4^4 + 823530822199/9368384800*c_0110_4^3 - 282376988013/9368384800*c_0110_4^2 + 65160755031/18736769600*c_0110_4 - 3212632293/4684192400, c_0011_12 - 4658899/374735392*c_0110_4^13 + 669895535/749470784*c_0110_4^12 - 1522610783/374735392*c_0110_4^11 + 8854048609/374735392*c_0110_4^10 - 11934147477/187367696*c_0110_4^9 + 77878124801/749470784*c_0110_4^8 - 25363620577/187367696*c_0110_4^7 + 25880757003/187367696*c_0110_4^6 - 35886205875/374735392*c_0110_4^5 + 34558430545/749470784*c_0110_4^4 - 4123271263/374735392*c_0110_4^3 - 3923759815/374735392*c_0110_4^2 + 225268383/23420962*c_0110_4 - 699690529/749470784, c_0011_4 + 9682131/374735392*c_0110_4^13 - 1394086075/749470784*c_0110_4^12 + 3236835223/374735392*c_0110_4^11 - 18992573705/374735392*c_0110_4^10 + 26221297025/187367696*c_0110_4^9 - 184937416433/749470784*c_0110_4^8 + 63934132885/187367696*c_0110_4^7 - 70283742295/187367696*c_0110_4^6 + 115735252155/374735392*c_0110_4^5 - 147454786957/749470784*c_0110_4^4 + 35806034223/374735392*c_0110_4^3 - 8897424681/374735392*c_0110_4^2 - 39404859/11710481*c_0110_4 + 230405689/749470784, c_0011_7 + 28077457/4684192400*c_0110_4^13 - 8268031669/18736769600*c_0110_4^12 + 25277717587/9368384800*c_0110_4^11 - 135968364601/9368384800*c_0110_4^10 + 466068981191/9368384800*c_0110_4^9 - 1839485655443/18736769600*c_0110_4^8 + 687412728871/4684192400*c_0110_4^7 - 829541044979/4684192400*c_0110_4^6 + 191708413177/1171048100*c_0110_4^5 - 2204338444043/18736769600*c_0110_4^4 + 638438066799/9368384800*c_0110_4^3 - 245623370913/9368384800*c_0110_4^2 + 49794831103/9368384800*c_0110_4 - 18933458797/18736769600, c_0101_0 - 1, c_0101_2 - 23858387/585524050*c_0110_4^13 + 1714856651/585524050*c_0110_4^12 - 3890743998/292762025*c_0110_4^11 + 92473948691/1171048100*c_0110_4^10 - 501358506587/2342096200*c_0110_4^9 + 1777360289101/4684192400*c_0110_4^8 - 312482690811/585524050*c_0110_4^7 + 348852018489/585524050*c_0110_4^6 - 596451290581/1171048100*c_0110_4^5 + 812240268513/2342096200*c_0110_4^4 - 53963417296/292762025*c_0110_4^3 + 71341631983/1171048100*c_0110_4^2 - 17949222371/2342096200*c_0110_4 + 5702633929/4684192400, c_0101_3 + 9361245/749470784*c_0110_4^13 - 21126321/23420962*c_0110_4^12 + 1639424095/374735392*c_0110_4^11 - 295739487/11710481*c_0110_4^10 + 54320953919/749470784*c_0110_4^9 - 12202269947/93683848*c_0110_4^8 + 34254950565/187367696*c_0110_4^7 - 9708413255/46841924*c_0110_4^6 + 133921462219/749470784*c_0110_4^5 - 1419538764/11710481*c_0110_4^4 + 24619764455/374735392*c_0110_4^3 - 1067683233/46841924*c_0110_4^2 + 2251183417/749470784*c_0110_4 - 69711225/93683848, c_0101_5 + 25742559/3747353920*c_0110_4^13 - 1860228427/3747353920*c_0110_4^12 + 570672317/234209620*c_0110_4^11 - 6817780997/468419240*c_0110_4^10 + 159158731171/3747353920*c_0110_4^9 - 323839302079/3747353920*c_0110_4^8 + 30617536857/234209620*c_0110_4^7 - 9303230687/58552405*c_0110_4^6 + 570266555501/3747353920*c_0110_4^5 - 429850542609/3747353920*c_0110_4^4 + 3975505726/58552405*c_0110_4^3 - 13912819531/468419240*c_0110_4^2 + 25329013553/3747353920*c_0110_4 - 3539249381/3747353920, c_0101_7 - 1208087/187367696*c_0110_4^13 + 86816967/187367696*c_0110_4^12 - 98180765/46841924*c_0110_4^11 + 4651252233/374735392*c_0110_4^10 - 3132907251/93683848*c_0110_4^9 + 21787043055/374735392*c_0110_4^8 - 3730288817/46841924*c_0110_4^7 + 16412660127/187367696*c_0110_4^6 - 13863849135/187367696*c_0110_4^5 + 2342510661/46841924*c_0110_4^4 - 318585195/11710481*c_0110_4^3 + 3838096729/374735392*c_0110_4^2 - 90575703/46841924*c_0110_4 + 211614715/374735392, c_0101_8 - 1783843/4684192400*c_0110_4^13 + 382416531/18736769600*c_0110_4^12 + 3464867787/9368384800*c_0110_4^11 - 10121522201/9368384800*c_0110_4^10 + 91628028391/9368384800*c_0110_4^9 - 415760549643/18736769600*c_0110_4^8 + 166326196871/4684192400*c_0110_4^7 - 227121788279/4684192400*c_0110_4^6 + 14160103263/292762025*c_0110_4^5 - 646855667443/18736769600*c_0110_4^4 + 200369028199/9368384800*c_0110_4^3 - 72993353513/9368384800*c_0110_4^2 - 4668078497/9368384800*c_0110_4 + 8637672203/18736769600, c_0110_4^14 - 72*c_0110_4^13 + 335*c_0110_4^12 - 1976*c_0110_4^11 + 5485*c_0110_4^10 - 9912*c_0110_4^9 + 14147*c_0110_4^8 - 16144*c_0110_4^7 + 14147*c_0110_4^6 - 9912*c_0110_4^5 + 5485*c_0110_4^4 - 1976*c_0110_4^3 + 335*c_0110_4^2 - 72*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.970 Total time: 5.190 seconds, Total memory usage: 64.12MB