Magma V2.19-8 Wed Aug 21 2013 00:58:02 on localhost [Seed = 711733382] Type ? for help. Type -D to quit. Loading file "L13n4664__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4664 geometric_solution 11.95496427 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 3012 0132 1 1 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 -3 -1 4 0 0 0 0 1 0 0 -1 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.226127099268 1.416897872042 0 0 5 4 0132 1230 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 3 -2 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296903580029 0.543606127501 4 0 6 4 0132 0132 0132 2031 1 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 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 0.539587147929 0.793576404025 7 8 0 6 0132 0132 0132 2310 1 1 1 1 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 0 0 0 0 4 -4 0 1 0 0 -1 -4 4 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.225596536625 1.155343268805 2 2 1 9 0132 1302 0132 0132 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 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414076752152 0.861723385827 8 6 10 1 3120 3120 0132 0132 1 1 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 -3 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 0 0 0 0.228172817751 0.976474185723 3 5 11 2 3201 3120 0132 0132 1 1 1 1 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 -3 3 0 0 0 0 0 0 0 0 1 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196481915637 0.474524618843 3 11 9 12 0132 1230 0213 0132 1 1 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 -3 3 -1 0 0 1 1 -1 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.802122092458 0.745583365699 12 3 9 5 0132 0132 3201 3120 1 1 1 1 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 -4 4 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.895535920278 0.744580492851 8 7 4 10 2310 0213 0132 0132 1 1 1 1 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 3 0 -3 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278099229300 0.694757360920 11 12 9 5 0213 2103 0132 0132 1 1 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 0 0 0 0 3 -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 0 0 0.028465758594 2.250108311359 10 12 7 6 0213 0321 3012 0132 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 -4 0 4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.409343364298 1.743546555869 8 10 7 11 0132 2103 0132 0321 1 1 1 1 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 -3 3 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 0.718193316290 0.429610967997 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_1001_5']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : d['c_1001_7'], 'c_1001_8' : negation(d['c_0101_2']), 'c_1010_12' : negation(d['c_1001_5']), 'c_1010_11' : negation(d['c_1001_5']), 'c_1010_10' : d['c_1001_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' : d['c_0011_10'], 'c_0101_10' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : negation(d['c_1001_7']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_1001_7']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : negation(d['c_1001_7']), 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0011_5']), 'c_1100_8' : negation(d['c_0011_9']), '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_0011_12'], '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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), '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_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_9']), 'c_0110_10' : d['c_0011_9'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_1'], 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : d['c_0011_9'], 'c_0101_4' : d['c_0101_0'], '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_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : negation(d['c_0011_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} 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_5, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_1001_5, c_1001_7, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 21014735426309358071659536579681768821/8354367020347487992228095050\ 353228800*c_1100_1^15 - 1045925614422518168482694059874741121749/41\ 771835101737439961140475251766144000*c_1100_1^14 - 196943467312645092737544118371389206461/232065750565207999784113751\ 3987008000*c_1100_1^13 - 2225741915886667583556040934990623704937/1\ 3923945033912479987046825083922048000*c_1100_1^12 - 8740525452851867206320637001423329822427/41771835101737439961140475\ 251766144000*c_1100_1^11 + 7863790495806886902121123033052065047977\ /13923945033912479987046825083922048000*c_1100_1^10 + 9474096103066522021951987744252231165579/46413150113041599956822750\ 27974016000*c_1100_1^9 + 48848738665001147254805513283417094557923/\ 8354367020347487992228095050353228800*c_1100_1^8 + 12065258072224569513426510094802380959689/1392394503391247998704682\ 508392204800*c_1100_1^7 + 15709514398034307673303705979267850647661\ 7/13923945033912479987046825083922048000*c_1100_1^6 + 415843618986078145719827448731019106571171/417718351017374399611404\ 75251766144000*c_1100_1^5 + 99349643164935649392254920279644577867/\ 13281982544272635917691725040307200*c_1100_1^4 + 17280026974572957480099207554197682243303/4177183510173743996114047\ 525176614400*c_1100_1^3 + 80513794388607576025008448953154575754379\ /41771835101737439961140475251766144000*c_1100_1^2 + 11223647474629231890941055396378201317/2457166770690437644772969132\ 4568320*c_1100_1 + 3651603192824734348926445294816388657789/4177183\ 5101737439961140475251766144000, c_0011_0 - 1, c_0011_10 + 201587533085651481552742245/4765948129347699344310502912*c_\ 1100_1^15 + 1848153261084136681440660681/47659481293476993443105029\ 12*c_1100_1^14 + 2614879347340891485083394421/238297406467384967215\ 5251456*c_1100_1^13 + 7495498838368496001804443831/4765948129347699\ 344310502912*c_1100_1^12 + 6626123901812116333578717743/47659481293\ 47699344310502912*c_1100_1^11 - 58860942158796570161836597039/47659\ 48129347699344310502912*c_1100_1^10 - 128518256915660846767275280767/4765948129347699344310502912*c_1100_\ 1^9 - 341930793541266124912702149803/4765948129347699344310502912*c\ _1100_1^8 - 160860594828526372247379408163/238297406467384967215525\ 1456*c_1100_1^7 - 351074832229554227627365953975/476594812934769934\ 4310502912*c_1100_1^6 - 62176594204792378864940642415/4765948129347\ 699344310502912*c_1100_1^5 + 43007597653930179555965934905/47659481\ 29347699344310502912*c_1100_1^4 + 67871502644978234435530213409/238\ 2974064673849672155251456*c_1100_1^3 + 79456547113044408447420148049/4765948129347699344310502912*c_1100_1\ ^2 + 10249087478580079739084943893/1191487032336924836077625728*c_1\ 100_1 + 2807602201435601258966564007/4765948129347699344310502912, c_0011_11 + 393779959553072263735910765/14297844388043098032931508736*c\ _1100_1^15 + 3492377236018821759702367177/1429784438804309803293150\ 8736*c_1100_1^14 + 1530548782716058814685444535/2382974064673849672\ 155251456*c_1100_1^13 + 4031313161681477861852970693/47659481293476\ 99344310502912*c_1100_1^12 + 10370353537754994916687081231/14297844\ 388043098032931508736*c_1100_1^11 - 38679674134251567507126488829/4765948129347699344310502912*c_1100_1\ ^10 - 71535352092641782927995782341/4765948129347699344310502912*c_\ 1100_1^9 - 606878514298153855135708386851/1429784438804309803293150\ 8736*c_1100_1^8 - 80279485401134023596558647045/2382974064673849672\ 155251456*c_1100_1^7 - 198569256664006258746363617389/4765948129347\ 699344310502912*c_1100_1^6 - 61385517599708002996847401927/14297844\ 388043098032931508736*c_1100_1^5 + 53599633070680929287060503513/14297844388043098032931508736*c_1100_\ 1^4 + 98425785303963821214821675041/7148922194021549016465754368*c_\ 1100_1^3 + 140717441601744050233363271513/1429784438804309803293150\ 8736*c_1100_1^2 + 16440257169740164285318225699/3574461097010774508\ 232877184*c_1100_1 + 127736065943122476090508727/142978443880430980\ 32931508736, c_0011_12 + 121613929230153738507630035/5361691645516161762349315776*c_\ 1100_1^15 + 2166337547526690028268934521/10723383291032323524698631\ 552*c_1100_1^14 + 160334475266781796393525091/297871758084231209019\ 406432*c_1100_1^13 + 650135265731420776346651293/893615274252693627\ 058219296*c_1100_1^12 + 6733732871608973285591549189/10723383291032\ 323524698631552*c_1100_1^11 - 5979294749526566620067464895/89361527\ 4252693627058219296*c_1100_1^10 - 15077754375632107686586983801/119\ 1487032336924836077625728*c_1100_1^9 - 24117904546295972075037084307/670211455689520220293664472*c_1100_1^\ 8 - 102705255257080582228254693653/3574461097010774508232877184*c_1\ 100_1^7 - 129436828287367173356841178243/35744610970107745082328771\ 84*c_1100_1^6 - 2050870654118796597172899037/1340422911379040440587\ 328944*c_1100_1^5 + 32513545549912652942307885767/10723383291032323\ 524698631552*c_1100_1^4 + 81456302871290840889229580609/53616916455\ 16161762349315776*c_1100_1^3 + 42170879538130756195048308935/536169\ 1645516161762349315776*c_1100_1^2 + 38354573289692391662892053423/10723383291032323524698631552*c_1100_\ 1 - 1924355569781519305751460701/10723383291032323524698631552, c_0011_5 + 55383344932856315122635005/1340422911379040440587328944*c_11\ 00_1^15 + 1920212153095151659294860511/5361691645516161762349315776\ *c_1100_1^14 + 525700877830828010815710765/595743516168462418038812\ 864*c_1100_1^13 + 1814165450075312199964818191/17872305485053872541\ 16438592*c_1100_1^12 + 1933571043545095425743687429/268084582275808\ 0881174657888*c_1100_1^11 - 2772548398869919782727916627/2234038185\ 63173406764554824*c_1100_1^10 - 11872767951326264237996904111/59574\ 3516168462418038812864*c_1100_1^9 - 304061683385047772713582322495/5361691645516161762349315776*c_1100_\ 1^8 - 15884584172434988112165620815/446807637126346813529109648*c_1\ 100_1^7 - 83779151541861085606162092065/178723054850538725411643859\ 2*c_1100_1^6 + 14287994481660762192916414301/5361691645516161762349\ 315776*c_1100_1^5 + 250001263550134502541520756/8377643196119002753\ 6708059*c_1100_1^4 + 31289787561300318515136134323/2680845822758080\ 881174657888*c_1100_1^3 + 26207658179534429214484507699/26808458227\ 58080881174657888*c_1100_1^2 + 35854080158883625646340425245/536169\ 1645516161762349315776*c_1100_1 + 85835509933926501134121217/167552\ 863922380055073416118, c_0011_6 - 153911156468673653525548385/42893533164129294098794526208*c_\ 1100_1^15 - 1395950933907282562001839273/42893533164129294098794526\ 208*c_1100_1^14 - 213466120976202600740248053/238297406467384967215\ 5251456*c_1100_1^13 - 1736627955865948631928734297/1429784438804309\ 8032931508736*c_1100_1^12 - 4058340264102382214209255519/4289353316\ 4129294098794526208*c_1100_1^11 + 15436967807626538095621328569/142\ 97844388043098032931508736*c_1100_1^10 + 10465594530075182638707612703/4765948129347699344310502912*c_1100_1\ ^9 + 246400884824838673304446401167/42893533164129294098794526208*c\ _1100_1^8 + 34583157237608452435812126623/7148922194021549016465754\ 368*c_1100_1^7 + 69675347310143093168765690213/14297844388043098032\ 931508736*c_1100_1^6 - 671039014290140207032014941/4289353316412929\ 4098794526208*c_1100_1^5 - 43914856938879047827699987657/4289353316\ 4129294098794526208*c_1100_1^4 - 20980213194500714627297851825/2144\ 6766582064647049397263104*c_1100_1^3 + 7585435158969527762944390291/42893533164129294098794526208*c_1100_1\ ^2 - 888398543285110141180926167/5361691645516161762349315776*c_110\ 0_1 + 24137760793096128302890203553/42893533164129294098794526208, c_0011_9 - 704650090160634150908702155/42893533164129294098794526208*c_\ 1100_1^15 - 5709146549019900375714334499/42893533164129294098794526\ 208*c_1100_1^14 - 653603519458748928391728667/238297406467384967215\ 5251456*c_1100_1^13 - 3394267897970966739675698971/1429784438804309\ 8032931508736*c_1100_1^12 - 5203901621883763901374401293/4289353316\ 4129294098794526208*c_1100_1^11 + 72471338610602123828705703107/142\ 97844388043098032931508736*c_1100_1^10 + 24584874687210277947926624341/4765948129347699344310502912*c_1100_1\ ^9 + 828525063998213880445594602733/42893533164129294098794526208*c\ _1100_1^8 + 18645338581119529466705827681/7148922194021549016465754\ 368*c_1100_1^7 + 202577934117997433658252272695/1429784438804309803\ 2931508736*c_1100_1^6 - 512613932819137594616806986775/428935331641\ 29294098794526208*c_1100_1^5 - 23129336060592365096283391451/428935\ 33164129294098794526208*c_1100_1^4 - 127516516775585761325546803163/21446766582064647049397263104*c_1100\ _1^3 - 100863917192845527416366507167/42893533164129294098794526208\ *c_1100_1^2 + 3422049443815386868860807845/536169164551616176234931\ 5776*c_1100_1 + 43046713313665478978205912371/428935331641292940987\ 94526208, c_0101_0 + 94232407415462724571399615/21446766582064647049397263104*c_1\ 100_1^15 + 851040694258142225514685517/2144676658206464704939726310\ 4*c_1100_1^14 + 130092442384984191729681341/11914870323369248360776\ 25728*c_1100_1^13 + 1113055427807425289473341847/714892219402154901\ 6465754368*c_1100_1^12 + 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