Magma V2.19-8 Wed Aug 21 2013 00:56:56 on localhost [Seed = 913321187] Type ? for help. Type -D to quit. Loading file "L13n3145__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3145 geometric_solution 12.47186752 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 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 0.770092010116 1.483092398950 0 5 6 4 0132 0132 0132 3120 1 1 0 1 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 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 0 0 0 0 0.432295489670 0.596476552045 6 0 6 7 0132 0132 3120 0132 0 1 0 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 0 0 0 1 -1 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434377156649 0.669504099241 8 9 10 0 0132 0132 0132 0132 0 1 0 1 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 0 0 0 0 0 1 -1 0 1 0 -1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619717637650 0.709350492984 1 11 0 8 3120 0132 0132 0132 0 1 0 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 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 0.414946498216 0.550644949052 11 1 12 7 2310 0132 0132 2310 1 0 1 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 4 -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 0 0 0 0.600489892698 1.474443502211 2 11 2 1 0132 2310 3120 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 -1 1 0 0 0 -1 1 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434377156649 0.669504099241 5 10 2 11 3201 3120 0132 3120 0 1 1 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 0 0 0 0 0 0 1 -1 4 -5 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486907671998 0.535451843415 3 12 4 9 0132 2031 0132 3120 0 1 1 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 0 1 -1 0 0 0 0 5 -1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486907671998 0.535451843415 8 3 10 12 3120 0132 3120 1302 0 1 1 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 0 0 0 0 0 0 0 4 0 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.866498019591 0.657747824618 12 7 9 3 1302 3120 3120 0132 0 1 1 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 0 0 0 0 0 0 1 0 0 -1 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301512590742 0.799513129850 7 4 5 6 3120 0132 3201 3201 0 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 0 0 0 1 0 0 -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 0.382455636805 0.703923336437 8 10 9 5 1302 2031 2031 0132 1 0 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 0 4 -4 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 0.486907671998 0.535451843415 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_5']), 'c_1001_10' : negation(d['c_1001_0']), 'c_1001_12' : negation(d['c_0101_3']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_1001_2']), 'c_1001_1' : negation(d['c_0110_11']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0011_7']), '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_0101_11'], '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_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : negation(d['c_0101_9']), 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_9']), 'c_1100_3' : negation(d['c_0101_9']), 'c_1100_2' : negation(d['c_0101_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_0']), 'c_1100_10' : negation(d['c_0101_9']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0110_11']), 'c_1010_5' : negation(d['c_0110_11']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_7']), '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_0011_7'], '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_12']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0101_1'], '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' : d['c_0110_11'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0011_12'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_11'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : negation(d['c_0101_11']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0110_11'], 'c_1100_8' : negation(d['c_0101_9'])})} 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_12, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_5, c_0101_9, c_0110_11, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 44/9*c_1001_2^3 - 269/3*c_1001_2^2 + 911/9*c_1001_2 - 204, c_0011_0 - 1, c_0011_10 - 1/3*c_1001_2^3 + 1/3*c_1001_2^2 + c_1001_2, c_0011_12 - 1/3*c_1001_2^3 - 2/3*c_1001_2^2, c_0011_7 + c_1001_2^2 + c_1001_2, c_0101_0 - c_1001_2^2 - c_1001_2, c_0101_1 - 1, c_0101_11 - 1/3*c_1001_2^3 - 2/3*c_1001_2^2 - c_1001_2 - 1, c_0101_3 + 1/3*c_1001_2^3 - 1/3*c_1001_2^2, c_0101_5 - c_1001_2^2 - 2*c_1001_2 - 1, c_0101_9 + 1/3*c_1001_2^3 - 1/3*c_1001_2^2 - c_1001_2, c_0110_11 - 1/3*c_1001_2^3 + 1/3*c_1001_2^2 - 1, c_1001_0 - 2/3*c_1001_2^3 - 4/3*c_1001_2^2 - c_1001_2, c_1001_2^4 + c_1001_2^3 + c_1001_2^2 + 3*c_1001_2 + 3 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_5, c_0101_9, c_0110_11, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 436156920318249/546833424496*c_1001_2^14 + 3554542459738181/546833424496*c_1001_2^13 + 12949941053346133/546833424496*c_1001_2^12 + 25817993490827567/546833424496*c_1001_2^11 + 14024014156403273/273416712248*c_1001_2^10 + 4820952229778577/273416712248*c_1001_2^9 - 14352940751179971/546833424496*c_1001_2^8 - 10236162050061879/273416712248*c_1001_2^7 - 476093416424806/34177089031*c_1001_2^6 + 3761791846639139/546833424496*c_1001_2^5 + 584067158473455/68354178062*c_1001_2^4 + 1129126181771103/546833424496*c_1001_2^3 - 230534054094395/273416712248*c_1001_2^2 - 272410398858563/546833424496*c_1001_2 - 50382508207721/546833424496, c_0011_0 - 1, c_0011_10 + 4381393465215/546833424496*c_1001_2^14 + 9255670120121/136708356124*c_1001_2^13 + 17370966172077/68354178062*c_1001_2^12 + 283137293161133/546833424496*c_1001_2^11 + 302869638773367/546833424496*c_1001_2^10 + 64800513470323/546833424496*c_1001_2^9 - 125188370575727/273416712248*c_1001_2^8 - 314565312097649/546833424496*c_1001_2^7 - 51208085463743/273416712248*c_1001_2^6 + 87130652681939/546833424496*c_1001_2^5 + 46362331135871/273416712248*c_1001_2^4 + 21801082090975/546833424496*c_1001_2^3 - 10555680297041/546833424496*c_1001_2^2 - 7284148645027/546833424496*c_1001_2 - 1535260623177/546833424496, c_0011_12 - 3178906062319/546833424496*c_1001_2^14 - 6664882271331/136708356124*c_1001_2^13 - 6288859118768/34177089031*c_1001_2^12 - 211138669698741/546833424496*c_1001_2^11 - 250666498330215/546833424496*c_1001_2^10 - 121807117044027/546833424496*c_1001_2^9 + 40533019940847/273416712248*c_1001_2^8 + 158730403981697/546833424496*c_1001_2^7 + 34241125242579/273416712248*c_1001_2^6 - 30213494933579/546833424496*c_1001_2^5 - 20090618272511/273416712248*c_1001_2^4 - 6902706819327/546833424496*c_1001_2^3 + 6310474483081/546833424496*c_1001_2^2 + 2593742561619/546833424496*c_1001_2 + 67266586673/546833424496, c_0011_7 + 2302069288857/546833424496*c_1001_2^14 + 4615239215331/136708356124*c_1001_2^13 + 8069542971173/68354178062*c_1001_2^12 + 115784119672363/546833424496*c_1001_2^11 + 85430245524113/546833424496*c_1001_2^10 - 66454593683355/546833424496*c_1001_2^9 - 104613155578329/273416712248*c_1001_2^8 - 183600417072999/546833424496*c_1001_2^7 - 14271388839673/273416712248*c_1001_2^6 + 71121230148245/546833424496*c_1001_2^5 + 28032874819857/273416712248*c_1001_2^4 + 8775939639753/546833424496*c_1001_2^3 - 7403376966999/546833424496*c_1001_2^2 - 3516766119717/546833424496*c_1001_2 - 492884210671/546833424496, c_0101_0 + 4381393465215/546833424496*c_1001_2^14 + 9255670120121/136708356124*c_1001_2^13 + 17370966172077/68354178062*c_1001_2^12 + 283137293161133/546833424496*c_1001_2^11 + 302869638773367/546833424496*c_1001_2^10 + 64800513470323/546833424496*c_1001_2^9 - 125188370575727/273416712248*c_1001_2^8 - 314565312097649/546833424496*c_1001_2^7 - 51208085463743/273416712248*c_1001_2^6 + 87130652681939/546833424496*c_1001_2^5 + 46362331135871/273416712248*c_1001_2^4 + 21801082090975/546833424496*c_1001_2^3 - 10555680297041/546833424496*c_1001_2^2 - 7284148645027/546833424496*c_1001_2 - 1535260623177/546833424496, c_0101_1 - 1, c_0101_11 + 2273392184063/273416712248*c_1001_2^14 + 2265064923320/34177089031*c_1001_2^13 + 15879992619055/68354178062*c_1001_2^12 + 116936122916905/273416712248*c_1001_2^11 + 101105584651655/273416712248*c_1001_2^10 - 20545027735521/273416712248*c_1001_2^9 - 69746371384063/136708356124*c_1001_2^8 - 128312613043809/273416712248*c_1001_2^7 - 9392962604597/136708356124*c_1001_2^6 + 47946277750447/273416712248*c_1001_2^5 + 17716690321439/136708356124*c_1001_2^4 + 4282461417007/273416712248*c_1001_2^3 - 5146886991357/273416712248*c_1001_2^2 - 2311377208979/273416712248*c_1001_2 - 252803293909/273416712248, c_0101_3 + 2223550943731/273416712248*c_1001_2^14 + 4765154281869/68354178062*c_1001_2^13 + 18369730182759/68354178062*c_1001_2^12 + 158056129460681/273416712248*c_1001_2^11 + 194477772242031/273416712248*c_1001_2^10 + 106334880591987/273416712248*c_1001_2^9 - 21307463341027/136708356124*c_1001_2^8 - 105365864682597/273416712248*c_1001_2^7 - 24790372064723/136708356124*c_1001_2^6 + 13567914191771/273416712248*c_1001_2^5 + 9795074027395/136708356124*c_1001_2^4 + 2232073495707/273416712248*c_1001_2^3 - 2719753247813/273416712248*c_1001_2^2 - 605973754347/273416712248*c_1001_2 + 142321340895/273416712248, c_0101_5 - 475297769063/136708356124*c_1001_2^14 - 1910568941415/68354178062*c_1001_2^13 - 6888670670667/68354178062*c_1001_2^12 - 27399194769915/136708356124*c_1001_2^11 - 30759731307675/136708356124*c_1001_2^10 - 14635863559641/136708356124*c_1001_2^9 + 3393068739593/68354178062*c_1001_2^8 + 14088551114337/136708356124*c_1001_2^7 + 1835247985656/34177089031*c_1001_2^6 + 1695707102923/136708356124*c_1001_2^5 + 275532536337/68354178062*c_1001_2^4 + 333089473425/136708356124*c_1001_2^3 - 369877540341/136708356124*c_1001_2^2 - 406909956605/136708356124*c_1001_2 - 173155942201/136708356124, c_0101_9 + 2302069288857/546833424496*c_1001_2^14 + 4615239215331/136708356124*c_1001_2^13 + 8069542971173/68354178062*c_1001_2^12 + 115784119672363/546833424496*c_1001_2^11 + 85430245524113/546833424496*c_1001_2^10 - 66454593683355/546833424496*c_1001_2^9 - 104613155578329/273416712248*c_1001_2^8 - 183600417072999/546833424496*c_1001_2^7 - 14271388839673/273416712248*c_1001_2^6 + 71121230148245/546833424496*c_1001_2^5 + 28032874819857/273416712248*c_1001_2^4 + 8775939639753/546833424496*c_1001_2^3 - 7403376966999/546833424496*c_1001_2^2 - 3516766119717/546833424496*c_1001_2 - 492884210671/546833424496, c_0110_11 + 165390902911/546833424496*c_1001_2^14 - 195410426841/136708356124*c_1001_2^13 - 745486776511/34177089031*c_1001_2^12 - 49265047327323/546833424496*c_1001_2^11 - 100658469470057/546833424496*c_1001_2^10 - 105890568941365/546833424496*c_1001_2^9 - 14304372192399/273416712248*c_1001_2^8 + 57940086010031/546833424496*c_1001_2^7 + 32422160254549/273416712248*c_1001_2^6 + 8761902818955/546833424496*c_1001_2^5 - 10928950492993/273416712248*c_1001_2^4 - 13236159256961/546833424496*c_1001_2^3 + 261906314327/546833424496*c_1001_2^2 + 2661394227069/546833424496*c_1001_2 + 1029654035359/546833424496, c_1001_0 + 141567278879/136708356124*c_1001_2^14 + 149672726415/34177089031*c_1001_2^13 - 155050626258/34177089031*c_1001_2^12 - 10769426683655/136708356124*c_1001_2^11 - 34566787294161/136708356124*c_1001_2^10 - 57722154215821/136708356124*c_1001_2^9 - 26336313203089/68354178062*c_1001_2^8 - 17326531651405/136708356124*c_1001_2^7 + 8208188825031/68354178062*c_1001_2^6 + 21666490344723/136708356124*c_1001_2^5 + 4551513618053/68354178062*c_1001_2^4 - 781965430877/136708356124*c_1001_2^3 - 2155245203509/136708356124*c_1001_2^2 - 757461285891/136708356124*c_1001_2 - 38963486029/136708356124, c_1001_2^15 + 115/13*c_1001_2^14 + 460/13*c_1001_2^13 + 1039/13*c_1001_2^12 + 1370/13*c_1001_2^11 + 856/13*c_1001_2^10 - 255/13*c_1001_2^9 - 929/13*c_1001_2^8 - 643/13*c_1001_2^7 - 21/13*c_1001_2^6 + 229/13*c_1001_2^5 + 123/13*c_1001_2^4 + 4/13*c_1001_2^3 - 18/13*c_1001_2^2 - 6/13*c_1001_2 - 1/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB