Magma V2.19-8 Tue Aug 20 2013 23:52:14 on localhost [Seed = 3187398280] Type ? for help. Type -D to quit. Loading file "L13n1672__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n1672 geometric_solution 11.60318623 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2103 0 1 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 -1 0 1 -1 0 1 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 0.666510399143 0.974604267629 0 4 5 0 0132 0132 0132 2103 0 1 0 0 0 1 -1 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 -1 1 0 1 0 -1 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 0.666510399143 0.974604267629 6 0 5 7 0132 0132 0213 0132 0 0 0 0 0 -1 1 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 1 -1 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 0.554914385295 0.788397344956 8 9 8 0 0132 0132 3120 0132 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 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 0.287049779239 0.744270839997 6 1 10 8 3201 0132 0132 0321 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 1 -1 0 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.860457657723 0.834897003381 10 2 10 1 0321 0213 2310 0132 0 1 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 0 0 0 0 0 0 0 0 1 0 -1 -10 0 9 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 0.179900980444 1.016822320394 2 9 9 4 0132 2031 3120 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.811392962307 0.793646047267 11 11 2 8 0132 1230 0132 0213 0 0 1 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372861909000 1.302649562634 3 4 3 7 0132 0321 3120 0213 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 -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 0.287049779239 0.744270839997 6 3 6 11 1302 0132 3120 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.006243112650 1.815709395914 5 5 11 4 0321 3201 0213 0132 0 0 0 1 0 0 1 -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 -1 1 0 0 0 0 1 0 0 -1 10 -9 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480576507120 0.595855997196 7 10 7 9 0132 0213 3012 2103 0 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 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 0.796907530870 0.709534306670 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_5'], 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_7' : d['c_0110_9'], 'c_1001_6' : negation(d['c_0110_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0110_9'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0110_9'], 'c_1001_8' : negation(d['c_1001_3']), 'c_1010_11' : negation(d['c_1001_3']), 'c_1010_10' : negation(d['c_1001_2']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : 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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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_11'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : negation(d['c_1001_3']), 'c_1100_7' : d['c_1001_1'], 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : d['c_1001_1'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_9']), 'c_1100_10' : negation(d['c_1001_3']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0110_9'], 'c_1010_2' : d['c_0110_9'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_1'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : negation(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' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_0'], '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_0101_6'], 'c_0110_10' : negation(d['c_0011_5']), 'c_0110_0' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0101_11']), 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_0']), 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_5, c_0101_0, c_0101_11, c_0101_6, c_0110_9, c_1001_1, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1630751594485778296510670679/653030025211799107933760*c_1001_3^9 - 869605701245106497872682673/93290003601685586847680*c_1001_3^8 - 27642263441559514688273690221/3918180151270794647602560*c_1001_3^7 + 5489494058213602056276499805/261212010084719643173504*c_1001_3^6 + 18240139319687292632412755321/653030025211799107933760*c_1001_3^5 + 240360446258084837998597632413/3918180151270794647602560*c_1001_3^4 + 76817117366620922525092596797/1306060050423598215867520*c_1001_3^\ 3 + 24245110347540237482384149121/3918180151270794647602560*c_1001_\ 3^2 + 397436564559692533011527611/653030025211799107933760*c_1001_3 - 144924938306821254497910787/783636030254158929520512, c_0011_0 - 1, c_0011_10 + 323346471648447/1224904450546*c_1001_3^9 - 86475350639844/87493175039*c_1001_3^8 - 5403636067706773/7349426703276*c_1001_3^7 + 4103335157685353/1837356675819*c_1001_3^6 + 1791705642719388/612452225273*c_1001_3^5 + 15796606240855313/2449808901092*c_1001_3^4 + 22560867231832393/3674713351638*c_1001_3^3 + 4195867319808047/7349426703276*c_1001_3^2 + 405414244076395/7349426703276*c_1001_3 - 38409429577594/1837356675819, c_0011_11 + 23233921952475/2449808901092*c_1001_3^9 - 24700424944491/699945400312*c_1001_3^8 - 401420053327963/14698853406552*c_1001_3^7 + 587567064116731/7349426703276*c_1001_3^6 + 1570853686555757/14698853406552*c_1001_3^5 + 1145219849629067/4899617802184*c_1001_3^4 + 3305346555666119/14698853406552*c_1001_3^3 + 30717194990533/1224904450546*c_1001_3^2 + 8738233685423/4899617802184*c_1001_3 - 228507648883/612452225273, c_0011_3 + 4495390123575/612452225273*c_1001_3^9 - 9518423147937/349972700156*c_1001_3^8 - 161543453148995/7349426703276*c_1001_3^7 + 464270227603057/7349426703276*c_1001_3^6 + 207431391625019/2449808901092*c_1001_3^5 + 436900084882197/2449808901092*c_1001_3^4 + 635941466438651/3674713351638*c_1001_3^3 + 44307349955807/3674713351638*c_1001_3^2 - 27724944765521/3674713351638*c_1001_3 - 4023525771383/7349426703276, c_0011_5 - 33840798336735/349972700156*c_1001_3^9 + 63044510518359/174986350078*c_1001_3^8 + 289745345180329/1049918100468*c_1001_3^7 - 853908335265623/1049918100468*c_1001_3^6 - 285305631596276/262479525117*c_1001_3^5 - 416584190920861/174986350078*c_1001_3^4 - 2405773541772155/1049918100468*c_1001_3^3 - 87102802690485/349972700156*c_1001_3^2 - 7294021354551/349972700156*c_1001_3 + 1238212502283/174986350078, c_0101_0 - 1, c_0101_11 + 64050968255391/1224904450546*c_1001_3^9 - 68030746459629/349972700156*c_1001_3^8 - 92578418610360/612452225273*c_1001_3^7 + 807942279690901/1837356675819*c_1001_3^6 + 4348545331965647/7349426703276*c_1001_3^5 + 4739497726692167/3674713351638*c_1001_3^4 + 3057953197415999/2449808901092*c_1001_3^3 + 341389311942039/2449808901092*c_1001_3^2 + 19266579773614/1837356675819*c_1001_3 - 5595229383172/1837356675819, c_0101_6 + 100030950809283/2449808901092*c_1001_3^9 - 53800818546153/349972700156*c_1001_3^8 - 811513485737543/7349426703276*c_1001_3^7 + 850126984620093/2449808901092*c_1001_3^6 + 3280147944163271/7349426703276*c_1001_3^5 + 3631950105384911/3674713351638*c_1001_3^4 + 568923437057365/612452225273*c_1001_3^3 + 130107289499660/1837356675819*c_1001_3^2 + 39012798250133/7349426703276*c_1001_3 - 3546549270601/1224904450546, c_0110_9 + 5967601443999/174986350078*c_1001_3^9 - 44850811525251/349972700156*c_1001_3^8 - 32683568329091/349972700156*c_1001_3^7 + 152398548090287/524959050234*c_1001_3^6 + 393592769482675/1049918100468*c_1001_3^5 + 867396666093595/1049918100468*c_1001_3^4 + 272888127524287/349972700156*c_1001_3^3 + 15365149241044/262479525117*c_1001_3^2 + 346613424353/349972700156*c_1001_3 - 214221792677/87493175039, c_1001_1 - 52974549132453/1224904450546*c_1001_3^9 + 28478720698533/174986350078*c_1001_3^8 + 71689445346735/612452225273*c_1001_3^7 - 224816742719967/612452225273*c_1001_3^6 - 576747821506411/1224904450546*c_1001_3^5 - 1286465060088655/1224904450546*c_1001_3^4 - 1212759938717487/1224904450546*c_1001_3^3 - 101914557708267/1224904450546*c_1001_3^2 - 21508530323425/1224904450546*c_1001_3 + 3652571924269/1224904450546, c_1001_2 + 398789590720833/2449808901092*c_1001_3^9 - 106232619646293/174986350078*c_1001_3^8 - 282948011003297/612452225273*c_1001_3^7 + 10057618291253093/7349426703276*c_1001_3^6 + 6710941200280901/3674713351638*c_1001_3^5 + 29428391225032853/7349426703276*c_1001_3^4 + 9421706193217275/2449808901092*c_1001_3^3 + 253218400291527/612452225273*c_1001_3^2 + 66027157505066/1837356675819*c_1001_3 - 46609448210923/3674713351638, c_1001_3^10 - 50/13*c_1001_3^9 - 281/117*c_1001_3^8 + 1022/117*c_1001_3^7 + 133/13*c_1001_3^6 + 2726/117*c_1001_3^5 + 270/13*c_1001_3^4 - 22/117*c_1001_3^3 - 4/117*c_1001_3^2 - 4/39*c_1001_3 + 1/117 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.370 seconds, Total memory usage: 32.09MB