Magma V2.19-8 Wed Aug 21 2013 00:58:14 on localhost [Seed = 1613134577] Type ? for help. Type -D to quit. Loading file "L13n4850__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4850 geometric_solution 12.57952659 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 0321 0132 0 1 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 0 -1 -3 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.159914257512 0.875181303161 0 4 6 5 0132 0132 0132 0132 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 3 -3 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.332368403252 0.828130754879 7 0 0 8 0132 0132 0321 0132 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 0 0 0 0 0 0 0 0 0 0 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 0.159914257512 0.875181303161 9 5 0 5 0132 2031 0132 2103 0 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 1 -1 2 0 -2 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599370768218 0.839518892871 7 1 10 8 1023 0132 0132 3120 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.089302872171 1.049536006803 3 11 1 3 1302 0132 0132 2103 1 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 -1 3 -2 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 0.436701350361 0.788993864526 10 12 9 1 0321 0132 3120 0132 1 1 1 1 0 -1 0 1 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 3 0 -3 -3 0 0 3 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300733961462 1.632234477036 2 4 10 9 0132 1023 3120 0321 1 1 1 1 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 0 3 -3 0 0 -2 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.909108656977 0.990078519112 4 11 2 11 3120 3201 0132 3120 0 1 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 -1 2 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 0.674415417415 1.327487228024 3 7 6 12 0132 0321 3120 0213 1 1 1 1 0 -1 0 1 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 3 0 -3 -2 0 0 2 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.004955338364 1.204385990500 6 12 7 4 0321 3012 3120 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 -2 0 2 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477272762685 0.816964607208 8 5 8 12 3120 0132 2310 3012 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 -1 0 0 0 0 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674415417415 1.327487228024 10 6 11 9 1230 0132 1230 0213 1 1 1 1 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 -3 0 3 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 0 0 0.574463249440 0.911227229400 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0011_8']), 'c_1001_5' : negation(d['c_0101_12']), 'c_1001_4' : negation(d['c_0101_12']), 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : negation(d['c_0101_11']), 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : negation(d['c_0101_12']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], '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' : 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_0101_9']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_0101_11']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_10'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_11'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0101_11']), 'c_1010_1' : negation(d['c_0101_12']), 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : d['c_0110_11'], 'c_1010_8' : negation(d['c_0011_11']), 'c_1100_8' : negation(d['c_0101_11']), '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_0110_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' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), '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_0110_11'], 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0011_12'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0110_11'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_9'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_11'], 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : negation(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_3, c_0011_8, c_0101_10, c_0101_11, c_0101_12, c_0101_7, c_0101_9, c_0110_11, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 310466215707370989/9499369593462625*c_0110_5^12 - 221996861459319297/9499369593462625*c_0110_5^11 + 726072293557333403/9499369593462625*c_0110_5^10 + 815289415545373017/9499369593462625*c_0110_5^9 + 677369553569554662/9499369593462625*c_0110_5^8 - 518288760154901304/9499369593462625*c_0110_5^7 - 169815797590234813/9499369593462625*c_0110_5^6 + 1074048768835008813/9499369593462625*c_0110_5^5 + 91236844113228256/1899873918692525*c_0110_5^4 - 5901267315931728/120245184727375*c_0110_5^3 + 125847394865381938/9499369593462625*c_0110_5^2 + 67888782632089024/1899873918692525*c_0110_5 + 20497858535236752/1899873918692525, c_0011_0 - 1, c_0011_10 + 39391806837621747/10298759581530214*c_0110_5^12 - 21169167389995478/5149379790765107*c_0110_5^11 + 63144375865788063/10298759581530214*c_0110_5^10 + 93005462158661797/5149379790765107*c_0110_5^9 - 160657867301906331/10298759581530214*c_0110_5^8 + 4518836783795019/5149379790765107*c_0110_5^7 + 87375064700019456/5149379790765107*c_0110_5^6 - 29371024681348744/5149379790765107*c_0110_5^5 - 12913230830058517/5149379790765107*c_0110_5^4 + 47936766409093271/10298759581530214*c_0110_5^3 - 2243478119385469/10298759581530214*c_0110_5^2 + 7522324187551255/10298759581530214*c_0110_5 + 18202049188230985/10298759581530214, c_0011_11 - 117150033875109/50983958324407*c_0110_5^12 + 334426890469986/50983958324407*c_0110_5^11 - 648523910240261/50983958324407*c_0110_5^10 + 410619284601042/50983958324407*c_0110_5^9 + 190518403441081/50983958324407*c_0110_5^8 - 233954531843419/50983958324407*c_0110_5^7 - 32158563180437/50983958324407*c_0110_5^6 + 165263415818752/50983958324407*c_0110_5^5 - 34580513912993/50983958324407*c_0110_5^4 - 17503670179167/50983958324407*c_0110_5^3 - 56656019719572/50983958324407*c_0110_5^2 + 7914047725663/50983958324407*c_0110_5 - 5226425468233/50983958324407, c_0011_12 - 2273883047694541/5149379790765107*c_0110_5^12 + 21515393977633269/5149379790765107*c_0110_5^11 - 50011470819093779/5149379790765107*c_0110_5^10 + 75360009645426081/5149379790765107*c_0110_5^9 - 11022409931146255/5149379790765107*c_0110_5^8 - 61636698162573766/5149379790765107*c_0110_5^7 + 46318085137219097/5149379790765107*c_0110_5^6 + 24566211672604910/5149379790765107*c_0110_5^5 - 35675436495221556/5149379790765107*c_0110_5^4 + 9907775430160031/5149379790765107*c_0110_5^3 + 5138892617335309/5149379790765107*c_0110_5^2 - 3810217039335961/5149379790765107*c_0110_5 + 3032503780472236/5149379790765107, c_0011_3 + 105571885291739713/10298759581530214*c_0110_5^12 - 83403075577619321/5149379790765107*c_0110_5^11 + 286245793902286155/10298759581530214*c_0110_5^10 + 134066459680007932/5149379790765107*c_0110_5^9 - 393514285063156823/10298759581530214*c_0110_5^8 + 74868318894483870/5149379790765107*c_0110_5^7 + 159299605910283846/5149379790765107*c_0110_5^6 - 80094245024727062/5149379790765107*c_0110_5^5 + 247745980179168/5149379790765107*c_0110_5^4 + 109555887925979565/10298759581530214*c_0110_5^3 - 4251848357338907/10298759581530214*c_0110_5^2 + 16805117469970257/10298759581530214*c_0110_5 + 39180533770440929/10298759581530214, c_0011_8 - 80783013073429697/10298759581530214*c_0110_5^12 + 55536585435118680/5149379790765107*c_0110_5^11 - 192335059317421191/10298759581530214*c_0110_5^10 - 127675797793349208/5149379790765107*c_0110_5^9 + 265429062057978783/10298759581530214*c_0110_5^8 - 27887255422630612/5149379790765107*c_0110_5^7 - 143339813938593062/5149379790765107*c_0110_5^6 + 47638094961634867/5149379790765107*c_0110_5^5 + 22759003258536008/5149379790765107*c_0110_5^4 - 81891265501771995/10298759581530214*c_0110_5^3 - 5748368848710783/10298759581530214*c_0110_5^2 - 9067233778662307/10298759581530214*c_0110_5 - 25742928577476419/10298759581530214, c_0101_10 - 90542232417828585/10298759581530214*c_0110_5^12 + 88803620300295018/5149379790765107*c_0110_5^11 - 349450760148972267/10298759581530214*c_0110_5^10 - 10661226643430644/5149379790765107*c_0110_5^9 + 203419993133315471/10298759581530214*c_0110_5^8 - 101435989625649558/5149379790765107*c_0110_5^7 - 48175386737865735/5149379790765107*c_0110_5^6 + 46167999351170872/5149379790765107*c_0110_5^5 - 20154449305328712/5149379790765107*c_0110_5^4 - 52831729412329037/10298759581530214*c_0110_5^3 + 12013656966531123/10298759581530214*c_0110_5^2 - 17070124106151291/10298759581530214*c_0110_5 - 18812484460716663/10298759581530214, c_0101_11 + 1, c_0101_12 - 56768262696948939/10298759581530214*c_0110_5^12 + 46418175455721818/5149379790765107*c_0110_5^11 - 167918658879970655/10298759581530214*c_0110_5^10 - 52242750515120334/5149379790765107*c_0110_5^9 + 156669406820978121/10298759581530214*c_0110_5^8 - 13032179416958076/5149379790765107*c_0110_5^7 - 88242832795585748/5149379790765107*c_0110_5^6 + 50263003178180941/5149379790765107*c_0110_5^5 + 6070126937594782/5149379790765107*c_0110_5^4 - 56097300483361127/10298759581530214*c_0110_5^3 + 14210510605661717/10298759581530214*c_0110_5^2 + 4016178014976257/10298759581530214*c_0110_5 - 24727944936163263/10298759581530214, c_0101_7 + 167514290295682147/10298759581530214*c_0110_5^12 - 153872152307057359/5149379790765107*c_0110_5^11 + 553821925286642223/10298759581530214*c_0110_5^10 + 119701248167944429/5149379790765107*c_0110_5^9 - 597385145113598015/10298759581530214*c_0110_5^8 + 188092610274905197/5149379790765107*c_0110_5^7 + 185067648805712565/5149379790765107*c_0110_5^6 - 147746896234719560/5149379790765107*c_0110_5^5 + 33883406322469918/5149379790765107*c_0110_5^4 + 132360669308630953/10298759581530214*c_0110_5^3 - 40239629872593849/10298759581530214*c_0110_5^2 + 27357267708467479/10298759581530214*c_0110_5 + 40958430907851173/10298759581530214, c_0101_9 - 13178301246228412/5149379790765107*c_0110_5^12 + 15176708290593176/5149379790765107*c_0110_5^11 - 14987374328023361/5149379790765107*c_0110_5^10 - 74948206889501359/5149379790765107*c_0110_5^9 + 89876691374470890/5149379790765107*c_0110_5^8 - 12759551895390799/5149379790765107*c_0110_5^7 - 61135392740623756/5149379790765107*c_0110_5^6 + 37090901255298460/5149379790765107*c_0110_5^5 + 9659573927207097/5149379790765107*c_0110_5^4 - 19559848103104695/5149379790765107*c_0110_5^3 - 933592118085157/5149379790765107*c_0110_5^2 + 632972637936858/5149379790765107*c_0110_5 - 5856202253290147/5149379790765107, c_0110_11 - 39266068328480993/5149379790765107*c_0110_5^12 + 80209508388034987/5149379790765107*c_0110_5^11 - 156095303696181804/5149379790765107*c_0110_5^10 + 5851344115337146/5149379790765107*c_0110_5^9 + 82972058565522801/5149379790765107*c_0110_5^8 - 70752756955318719/5149379790765107*c_0110_5^7 - 41764582437059582/5149379790765107*c_0110_5^6 + 39538866502480969/5149379790765107*c_0110_5^5 - 21813340205787594/5149379790765107*c_0110_5^4 - 12323744648607198/5149379790765107*c_0110_5^3 + 5130525167607717/5149379790765107*c_0110_5^2 - 9513151112967711/5149379790765107*c_0110_5 - 5561133602200439/5149379790765107, c_0110_5^13 - 35/29*c_0110_5^12 + 67/29*c_0110_5^11 + 91/29*c_0110_5^10 - 57/29*c_0110_5^9 - 3/29*c_0110_5^8 + 90/29*c_0110_5^7 + 4/29*c_0110_5^6 - 16/29*c_0110_5^5 + 23/29*c_0110_5^4 + 12/29*c_0110_5^3 + 4/29*c_0110_5^2 + 10/29*c_0110_5 + 5/29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.200 Total time: 1.409 seconds, Total memory usage: 32.09MB