Magma V2.19-8 Tue Aug 20 2013 16:15:57 on localhost [Seed = 408519716] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0185 geometric_solution 3.99611098 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.372312642329 0.079487699923 0 2 2 0 0132 0132 3201 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.073884041753 0.267164391994 1 1 3 3 2310 0132 0132 3201 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 1 -1 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 0.309148426908 0.150929844501 4 2 5 2 0132 2310 0132 0132 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584414995071 0.647331596016 3 6 5 5 0132 0132 3012 1230 0 0 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 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 0.987580637375 1.714574646805 4 4 6 3 3012 1230 3201 0132 0 0 0 0 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 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 0.987580637375 1.714574646805 5 4 6 6 2310 0132 1230 3012 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 -1 0 1 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.458477688133 0.861805217316 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_0_6' : 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_6' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : 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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 3942162282701732585036/410631142825338590615*c_0101_5^15 + 4177110084369810679988/410631142825338590615*c_0101_5^14 + 12582081014150408537484/82126228565067718123*c_0101_5^13 - 125883183189701159094956/410631142825338590615*c_0101_5^12 - 545848193390799899541068/410631142825338590615*c_0101_5^11 - 69160696816513891843484/82126228565067718123*c_0101_5^10 - 381608694369809166522891/410631142825338590615*c_0101_5^9 + 40722604928427147581111/82126228565067718123*c_0101_5^8 + 2463494180173719218694449/410631142825338590615*c_0101_5^7 + 1066789826207137868401222/410631142825338590615*c_0101_5^6 - 447126454674450472209125/82126228565067718123*c_0101_5^5 - 1087174671540549915719112/410631142825338590615*c_0101_5^4 + 924199812828947105516626/410631142825338590615*c_0101_5^3 + 243773437902695018272146/410631142825338590615*c_0101_5^2 - 187600723464681562162038/410631142825338590615*c_0101_5 + 11826722764780194301418/410631142825338590615, c_0011_0 - 1, c_0011_3 - 20272536352458620906/82126228565067718123*c_0101_5^15 + 14752149705268274123/82126228565067718123*c_0101_5^14 + 330246667407760841304/82126228565067718123*c_0101_5^13 - 540905401436672700558/82126228565067718123*c_0101_5^12 - 3014332657643029665477/82126228565067718123*c_0101_5^11 - 2700396479162814361814/82126228565067718123*c_0101_5^10 - 2649087115890835647532/82126228565067718123*c_0101_5^9 + 162082867987111434058/82126228565067718123*c_0101_5^8 + 12856539078406583464791/82126228565067718123*c_0101_5^7 + 9542095979942100757374/82126228565067718123*c_0101_5^6 - 9432083808791360286362/82126228565067718123*c_0101_5^5 - 8385332244492160549784/82126228565067718123*c_0101_5^4 + 2972612247208881493713/82126228565067718123*c_0101_5^3 + 2077041838129408575721/82126228565067718123*c_0101_5^2 - 644022317478717828708/82126228565067718123*c_0101_5 - 45525075699976205025/82126228565067718123, c_0011_5 + 2539998236015405876/82126228565067718123*c_0101_5^15 - 2248526041491457576/82126228565067718123*c_0101_5^14 - 43076007327191259503/82126228565067718123*c_0101_5^13 + 75729441864285323166/82126228565067718123*c_0101_5^12 + 399120992199968387063/82126228565067718123*c_0101_5^11 + 225417176847865420652/82126228565067718123*c_0101_5^10 - 11380247105322755776/82126228565067718123*c_0101_5^9 - 337708806315436828163/82126228565067718123*c_0101_5^8 - 1941344681940468389503/82126228565067718123*c_0101_5^7 - 1027317572352127128807/82126228565067718123*c_0101_5^6 + 2554647545786295985280/82126228565067718123*c_0101_5^5 + 1689359178517409859104/82126228565067718123*c_0101_5^4 - 1183600087403259775016/82126228565067718123*c_0101_5^3 - 648218921222827879319/82126228565067718123*c_0101_5^2 + 289941690706393323423/82126228565067718123*c_0101_5 + 16352472893281789867/82126228565067718123, c_0101_0 - 8602639250863539229/82126228565067718123*c_0101_5^15 + 3195564067739072543/82126228565067718123*c_0101_5^14 + 143421896919281250986/82126228565067718123*c_0101_5^13 - 182177823329454042357/82126228565067718123*c_0101_5^12 - 1375282314817651729573/82126228565067718123*c_0101_5^11 - 1547975384705260306545/82126228565067718123*c_0101_5^10 - 1442430320566547617675/82126228565067718123*c_0101_5^9 - 382825730302622832368/82126228565067718123*c_0101_5^8 + 5478002536513643866651/82126228565067718123*c_0101_5^7 + 5674386687399100233322/82126228565067718123*c_0101_5^6 - 3147622394449219228332/82126228565067718123*c_0101_5^5 - 4753813040134148496855/82126228565067718123*c_0101_5^4 + 707928348183416674282/82126228565067718123*c_0101_5^3 + 1409098305326826020841/82126228565067718123*c_0101_5^2 - 204704576316417765364/82126228565067718123*c_0101_5 - 81091064037411584989/82126228565067718123, c_0101_1 + 20598001276169923785/82126228565067718123*c_0101_5^15 - 19621348086359459446/82126228565067718123*c_0101_5^14 - 330440582531675542232/82126228565067718123*c_0101_5^13 + 621983398932865510408/82126228565067718123*c_0101_5^12 + 2912063463137734283398/82126228565067718123*c_0101_5^11 + 2131750828750239216596/82126228565067718123*c_0101_5^10 + 2282052897990610241734/82126228565067718123*c_0101_5^9 - 817343705602640482690/82126228565067718123*c_0101_5^8 - 12985118744548881095399/82126228565067718123*c_0101_5^7 - 7026355046864907752123/82126228565067718123*c_0101_5^6 + 10579965609764601174280/82126228565067718123*c_0101_5^5 + 6793165976926484648070/82126228565067718123*c_0101_5^4 - 3665096772300071567908/82126228565067718123*c_0101_5^3 - 1533509084212818553439/82126228565067718123*c_0101_5^2 + 622743523160038171201/82126228565067718123*c_0101_5 - 10211340019068732920/82126228565067718123, c_0101_2 - 15677560651737650984/82126228565067718123*c_0101_5^15 + 14238354273046409708/82126228565067718123*c_0101_5^14 + 249708252958983308232/82126228565067718123*c_0101_5^13 - 460270125196406219568/82126228565067718123*c_0101_5^12 - 2200142060880597896783/82126228565067718123*c_0101_5^11 - 1785973939598265628337/82126228565067718123*c_0101_5^10 - 2131165471144274804409/82126228565067718123*c_0101_5^9 + 153726582611789110185/82126228565067718123*c_0101_5^8 + 9307084203797904756468/82126228565067718123*c_0101_5^7 + 5587619220832282767044/82126228565067718123*c_0101_5^6 - 6696511079785430560475/82126228565067718123*c_0101_5^5 - 4411832403549491401244/82126228565067718123*c_0101_5^4 + 2562246824428658272034/82126228565067718123*c_0101_5^3 + 912914499056371156842/82126228565067718123*c_0101_5^2 - 624456492435393037029/82126228565067718123*c_0101_5 - 9136421729416800654/82126228565067718123, c_0101_5^16 - c_0101_5^15 - 16*c_0101_5^14 + 31*c_0101_5^13 + 140*c_0101_5^12 + 96*c_0101_5^11 + 106*c_0101_5^10 - 38*c_0101_5^9 - 619*c_0101_5^8 - 300*c_0101_5^7 + 541*c_0101_5^6 + 282*c_0101_5^5 - 227*c_0101_5^4 - 63*c_0101_5^3 + 51*c_0101_5^2 - 2*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB