Magma V2.19-8 Wed Aug 21 2013 00:57:48 on localhost [Seed = 1091001340] Type ? for help. Type -D to quit. Loading file "L13n4492__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4492 geometric_solution 12.13101032 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 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 -1 0 1 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 0.628102010963 1.169388213468 0 5 7 6 0132 0132 0132 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 0.643525080052 0.663678132706 7 0 5 8 0213 0132 0132 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 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 0.745920418222 0.979773639223 6 9 6 0 0132 0132 0213 0132 1 0 0 0 0 0 0 0 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 0 0 0 -1 0 0 1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.422177940644 0.359859050542 10 7 0 11 0132 0132 0132 0132 1 0 1 1 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 0 0 0 0 0 0 0 0 4 -1 -3 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 0.104002804777 0.796105368154 10 1 9 2 1230 0132 0132 0132 1 1 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 -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 0.623695170152 0.554161414452 3 3 1 11 0132 0213 0132 0213 1 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 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 1.246980802434 0.776601239678 2 4 12 1 0213 0132 0132 0132 1 0 1 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 -4 4 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 0.248000393276 0.956331264984 10 11 2 12 3201 3012 0132 2031 1 1 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 1 -1 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723527005352 0.670711454016 12 3 11 5 2031 0132 3012 0132 1 1 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 0 0 0 0 0 3 -3 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723527005352 0.670711454016 4 5 12 8 0132 3012 1302 2310 0 0 1 1 0 0 0 0 1 0 -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 -1 0 1 0 1 3 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.144037318367 1.103311915989 8 9 4 6 1230 1230 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 -3 3 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 0.525323261562 1.274411372580 10 8 9 7 2031 1302 1302 0132 1 0 1 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 4 0 -4 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 0.256659385883 0.689078721921 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_0']), 'c_1001_12' : d['c_0101_5'], 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_11'], 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_11']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : d['c_1001_11'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0101_5']), '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' : negation(d['c_0011_12']), 'c_0101_10' : negation(d['c_0011_12']), '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' : negation(d['c_1001_11']), 'c_1100_8' : negation(d['c_1001_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_11']), 'c_1100_4' : d['c_1010_6'], 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : d['c_1010_6'], 'c_1100_3' : d['c_1010_6'], 'c_1100_2' : negation(d['c_1001_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1010_6'], 'c_1100_10' : d['c_0011_3'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0011_11']), 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0011_12'], '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_0101_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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_3']), '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_0011_3'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0011_0']), 'c_0101_12' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_1']), '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' : d['c_0101_5'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(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_12, c_0011_3, c_0101_0, c_0101_1, c_0101_5, c_0101_9, c_1001_1, c_1001_11, c_1001_3, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 1922723062302725910014234617017/51826717869306921970840293194*c_101\ 0_6^11 + 103511360709393860411628318441162/285046948281188070839621\ 612567*c_1010_6^10 + 29701063882318198352122864099993/2850469482811\ 88070839621612567*c_1010_6^9 + 46377966364290547249882184506173/570\ 093896562376141679243225134*c_1010_6^8 + 193245774297851434133677593948065/285046948281188070839621612567*c_\ 1010_6^7 - 4119306160255281125827213535246/982920511314441623584902\ 1123*c_1010_6^6 - 34456554317916212922921843968033/2850469482811880\ 70839621612567*c_1010_6^5 + 1217314893180455006424129927525575/5700\ 93896562376141679243225134*c_1010_6^4 - 239026378023423498784231535627551/570093896562376141679243225134*c_\ 1010_6^3 + 92639973883670821189471148590380/28504694828118807083962\ 1612567*c_1010_6^2 - 878927335959885354200913372192153/570093896562\ 376141679243225134*c_1010_6 - 205496249580718810181041250089290/285\ 046948281188070839621612567, c_0011_0 - 1, c_0011_10 + 385792238856938375583/40210100309960075949253*c_1010_6^11 + 3651781979504053318136/40210100309960075949253*c_1010_6^10 + 17565663726072894641/80420200619920151898506*c_1010_6^9 + 2031965973141329815333/40210100309960075949253*c_1010_6^8 + 8429541831091356982813/40210100309960075949253*c_1010_6^7 - 190184561205982890168/1386555183102071584457*c_1010_6^6 + 17470630865415131431487/80420200619920151898506*c_1010_6^5 + 48787580499568461661359/80420200619920151898506*c_1010_6^4 - 17704713243555572854442/40210100309960075949253*c_1010_6^3 + 60674332446792916841075/80420200619920151898506*c_1010_6^2 - 17857323927886231508337/80420200619920151898506*c_1010_6 + 3235068827808371159005/80420200619920151898506, c_0011_11 - 59278924862416720967/40210100309960075949253*c_1010_6^11 + 103453163080261833829/80420200619920151898506*c_1010_6^10 + 11718340440934346873271/80420200619920151898506*c_1010_6^9 + 344566580193246301583/40210100309960075949253*c_1010_6^8 + 2686444464425823190554/40210100309960075949253*c_1010_6^7 + 1060839658627071094367/2773110366204143168914*c_1010_6^6 - 2174096987457376435971/40210100309960075949253*c_1010_6^5 - 613489087345105175515/80420200619920151898506*c_1010_6^4 + 97324572906922340216831/80420200619920151898506*c_1010_6^3 + 3679232491057893148203/40210100309960075949253*c_1010_6^2 + 9686886846825170138744/40210100309960075949253*c_1010_6 - 6157248289847570711121/80420200619920151898506, c_0011_12 - 1402919777656855509194/40210100309960075949253*c_1010_6^11 - 13153982493689988955169/40210100309960075949253*c_1010_6^10 + 2403233825254582963941/80420200619920151898506*c_1010_6^9 - 6742713056477670791220/40210100309960075949253*c_1010_6^8 - 27419814803881128076749/40210100309960075949253*c_1010_6^7 + 1031186469391043087057/1386555183102071584457*c_1010_6^6 - 21133398460777405647085/80420200619920151898506*c_1010_6^5 - 170351146863034922817935/80420200619920151898506*c_1010_6^4 + 63706549373787138655639/40210100309960075949253*c_1010_6^3 - 138866163433005746420835/80420200619920151898506*c_1010_6^2 + 88086196598165982889461/80420200619920151898506*c_1010_6 + 35253862468773946026733/80420200619920151898506, c_0011_3 - 696171826039472684704/40210100309960075949253*c_1010_6^11 - 6484254254312040060438/40210100309960075949253*c_1010_6^10 + 487135884860998460314/40210100309960075949253*c_1010_6^9 - 8439775258576604829460/40210100309960075949253*c_1010_6^8 - 14154629992171303273380/40210100309960075949253*c_1010_6^7 + 816228258392521881138/1386555183102071584457*c_1010_6^6 - 14697344418023968554534/40210100309960075949253*c_1010_6^5 - 33065501466202088134940/40210100309960075949253*c_1010_6^4 + 51277691021138995739022/40210100309960075949253*c_1010_6^3 - 65714216989573549766481/40210100309960075949253*c_1010_6^2 + 30531916344102744177170/40210100309960075949253*c_1010_6 + 45471953209928024256046/40210100309960075949253, c_0101_0 - 1, c_0101_1 + 1346252759785127891059/80420200619920151898506*c_1010_6^11 + 13786244124586258004417/80420200619920151898506*c_1010_6^10 + 5042891145178482797025/40210100309960075949253*c_1010_6^9 + 4285460174149017734638/40210100309960075949253*c_1010_6^8 + 31013451250813227370185/80420200619920151898506*c_1010_6^7 - 174337786763059028474/1386555183102071584457*c_1010_6^6 + 2586112621780369206731/80420200619920151898506*c_1010_6^5 + 74960865739739705292455/80420200619920151898506*c_1010_6^4 - 10058724716539619402955/40210100309960075949253*c_1010_6^3 + 11840355245207366864738/40210100309960075949253*c_1010_6^2 - 30304636228308776187483/80420200619920151898506*c_1010_6 - 43475940903407409793647/40210100309960075949253, c_0101_5 + 46090892293817478349/80420200619920151898506*c_1010_6^11 - 817735615962177883541/80420200619920151898506*c_1010_6^10 - 5530027030039481257339/40210100309960075949253*c_1010_6^9 + 4154315084427587094822/40210100309960075949253*c_1010_6^8 - 2704191266470620823425/80420200619920151898506*c_1010_6^7 - 641890471629462852664/1386555183102071584457*c_1010_6^6 + 26808576214267567902337/80420200619920151898506*c_1010_6^5 - 8829862807335529022575/80420200619920151898506*c_1010_6^4 - 41218966304599376336067/40210100309960075949253*c_1010_6^3 + 53873861744366182901743/40210100309960075949253*c_1010_6^2 - 30759196459896712166857/80420200619920151898506*c_1010_6 - 1996012306520614462399/40210100309960075949253, c_0101_9 - 28413545556138028341/2773110366204143168914*c_1010_6^11 - 107382297043972961618/1386555183102071584457*c_1010_6^10 + 240484314101632438358/1386555183102071584457*c_1010_6^9 - 435376302047593730603/2773110366204143168914*c_1010_6^8 - 129770502836561504440/1386555183102071584457*c_1010_6^7 + 658630796762617169021/1386555183102071584457*c_1010_6^6 - 2068800423973881378649/2773110366204143168914*c_1010_6^5 - 1514519153805763522803/2773110366204143168914*c_1010_6^4 + 1914727548744964633907/1386555183102071584457*c_1010_6^3 - 2241457160207389671285/1386555183102071584457*c_1010_6^2 + 1589676060498805413086/1386555183102071584457*c_1010_6 - 2880464105816858597199/2773110366204143168914, c_1001_1 - 580985733191559732267/80420200619920151898506*c_1010_6^11 - 3112512525541327194629/40210100309960075949253*c_1010_6^10 - 3581307402544550447341/40210100309960075949253*c_1010_6^9 - 4760339046257760205787/80420200619920151898506*c_1010_6^8 - 3763082178719493759939/40210100309960075949253*c_1010_6^7 - 189291010515752435505/1386555183102071584457*c_1010_6^6 - 831486971925098422241/80420200619920151898506*c_1010_6^5 - 30136623008305453153599/80420200619920151898506*c_1010_6^4 - 11042569161566928258693/40210100309960075949253*c_1010_6^3 - 2504519010022643538438/40210100309960075949253*c_1010_6^2 - 12194098599174918467783/40210100309960075949253*c_1010_6 + 5896535780701433661735/80420200619920151898506, c_1001_11 + 871699243859554535667/80420200619920151898506*c_1010_6^11 + 4307463097813544169118/40210100309960075949253*c_1010_6^10 + 3738930034373922560365/80420200619920151898506*c_1010_6^9 + 7551158410279585247061/80420200619920151898506*c_1010_6^8 + 12408691874154652893236/40210100309960075949253*c_1010_6^7 + 42180050315764356408/1386555183102071584457*c_1010_6^6 + 6383256558121491816318/40210100309960075949253*c_1010_6^5 + 26331075770737357620356/40210100309960075949253*c_1010_6^4 - 10482150837641081389150/40210100309960075949253*c_1010_6^3 + 57843863065592908860855/80420200619920151898506*c_1010_6^2 - 13294534919033606736497/80420200619920151898506*c_1010_6 + 4682289411161344683681/40210100309960075949253, c_1001_3 + 1347353139702830698515/80420200619920151898506*c_1010_6^11 + 5567328126448311855596/40210100309960075949253*c_1010_6^10 - 7758193984261440712178/40210100309960075949253*c_1010_6^9 + 2988500624361012749927/80420200619920151898506*c_1010_6^8 + 937978153699658133474/40210100309960075949253*c_1010_6^7 - 1046844945326564904391/1386555183102071584457*c_1010_6^6 + 35169682198663872507819/80420200619920151898506*c_1010_6^5 + 34672968505853740610943/80420200619920151898506*c_1010_6^4 - 62574210684322767576656/40210100309960075949253*c_1010_6^3 + 48687878608217097494925/40210100309960075949253*c_1010_6^2 - 73495145733651543778239/40210100309960075949253*c_1010_6 + 55910324301909203157819/80420200619920151898506, c_1010_6^12 + 100/11*c_1010_6^11 - 30/11*c_1010_6^10 + 136/11*c_1010_6^9 + 172/11*c_1010_6^8 - 228/11*c_1010_6^7 + 27*c_1010_6^6 + 402/11*c_1010_6^5 - 511/11*c_1010_6^4 + 980/11*c_1010_6^3 - 997/11*c_1010_6^2 + 416/11*c_1010_6 - 557/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.350 Total time: 0.550 seconds, Total memory usage: 32.09MB