# Group 453840.a downloaded from the LMFDB on 23 October 2026. 
 
## Various presentations of this group are stored in this file: 
#	 GPC is polycyclic presentation, GPerm is permutation group 
#	 GLZ, GLFp, GLZN, GLZq, GLFq if they exist are matrix groups 
 
# Many characteristics of the group are stored as booleans in a record: 
#	 Agroup, Zgroup, abelian, almost_simple, cyclic, metabelian, 
#	 metacyclic, monomial, nilpotent, perfect, quasisimple, rational, 
#	 solvable, supersolvable 
 
# The character table is stored as a record chartbl_n_i where n is the order 
# of the group and i is which group of that order it is. The record is 
# converted to a character table using ConvertToLibraryCharacterTableNC 

 
# Constructions 
GPerm := Group( (2,5,13,25,49,95,114,170,164,123,150,94,130,93,48,74,131,91,47,24,38,75,87,44,78,112,166,217,223,232,238,208,198,146,90,46,76,85,43,22,40,79,133,83,42,80,135,82,136,177,165,109,162,172,119,97,51,27,15,7,8)(4,10,9,19,37,73,129,145,182,193,142,167,155,100,50,98,55,26,52,101,63,31,14,28,56,61,33,67,122,180,226,229,240,211,222,173,117,62,29,59,58,30,17,35,69,103,54,36,71,99,72,127,147,179,195,143,137,81,41,21,11)(6,16,32,64,118,174,216,181,227,215,199,148,106,53,104,158,209,233,187,138,169,115,65,121,178,225,200,157,207,246,243,242,237,191,186,192,141,86,116,60,113,168,219,230,234,188,139,105,70,126,185,231,196,213,163,214,176,120,66,34,18)(12,20,39,77,107,160,212,194,218,171,220,201,149,92,132,102,156,206,239,204,153,128,88,111,57,108,161,202,159,210,245,241,244,235,189,184,205,152,110,68,124,154,96,151,203,236,190,140,84,134,125,183,228,221,175,224,197,144,89,45,23), (1,2,6,17,36,72,128,118,175,146,108,153,97,135,99,51,79,134,105,54,27,39,78,116,66,75,121,179,224,220,207,235,231,216,164,110,58,77,111,62,34,37,74,132,106,63,73,130,98,129,168,141,122,181,144,113,94,48,24,12,4)(3,9,20,40,80,136,169,160,213,173,178,138,81,71,82,41,35,70,84,42,21,16,33,68,45,28,57,109,163,215,210,237,228,194,142,86,43,32,65,46,23,13,26,53,92,47,25,50,93,49,96,152,166,218,176,154,100,55,31,18,7)(5,14,29,60,114,171,198,162,212,226,189,139,83,69,125,184,230,236,205,155,145,89,59,112,167,219,188,185,232,245,247,242,240,201,156,204,165,117,87,64,119,177,225,209,239,200,148,91,52,102,157,208,214,193,180,196,143,88,44,22,11)(15,19,38,76,124,182,227,222,195,174,223,191,140,103,133,126,186,203,234,192,150,95,120,85,67,123,151,190,183,229,246,248,244,238,199,158,187,147,90,56,107,137,127,161,206,233,202,149,101,131,104,159,211,197,170,217,221,172,115,61,30), (1,3)(2,7)(4,9)(5,15)(6,18)(11,19)(12,20)(13,27)(14,30)(16,34)(17,31)(21,37)(22,38)(23,39)(24,40)(25,51)(26,54)(28,58)(29,61)(32,66)(33,62)(35,63)(36,55)(41,73)(42,74)(43,75)(44,76)(45,77)(46,78)(47,79)(48,80)(49,97)(50,99)(52,103)(53,105)(56,59)(57,110)(60,115)(64,120)(65,116)(67,117)(68,111)(69,101)(70,106)(71,98)(72,100)(81,129)(82,130)(83,131)(84,132)(85,87)(86,121)(88,124)(89,107)(90,112)(91,133)(92,134)(93,135)(94,136)(95,119)(96,153)(102,140)(104,139)(108,152)(109,164)(113,169)(114,172)(118,176)(122,173)(123,165)(125,149)(126,148)(127,155)(128,154)(137,145)(138,168)(141,178)(142,179)(143,182)(144,160)(146,166)(147,167)(150,177)(151,204)(156,190)(157,191)(158,188)(159,189)(161,205)(162,170)(163,216)(171,221)(174,214)(175,218)(180,222)(181,213)(183,201)(184,202)(185,199)(186,200)(187,219)(192,225)(193,195)(194,224)(196,227)(197,212)(198,217)(203,239)(206,236)(207,237)(208,223)(209,234)(210,235)(211,226)(215,231)(220,228)(229,240)(230,233)(232,238)(242,246)(244,245)(247,248) );
GLFp := Group([[[ Z(61)^0, Z(61)^0 ], [ 0*Z(61), Z(61)^0 ]], [[ Z(61)^0, 0*Z(61) ], [ 0*Z(61), Z(61)^30 ]], [[ Z(61)^0, 0*Z(61) ], [ Z(61)^0, Z(61)^0 ]]]);

 
# Booleans 
booleans_453840_a := rec( 
Agroup := false,
Zgroup := false,
abelian := false,
almost_simple := false,
cyclic := false,
metabelian := false,
metacyclic := false,
monomial := false,
nilpotent := false,
perfect := false,
quasisimple := false,
rational := false,
solvable := false,
supersolvable := false); 

 
# Character Table 
chartbl_453840_a:=rec(); 
chartbl_453840_a.IsFinite:= true; 
chartbl_453840_a.UnderlyingCharacteristic:= 0; 
chartbl_453840_a.UnderlyingGroup:= GLFp;
chartbl_453840_a.Size:= 453840;
chartbl_453840_a.InfoText:= "Character table for group 453840.a downloaded from the LMFDB."; 
chartbl_453840_a.Identifier:= " SL(2,61):C2 "; 
chartbl_453840_a.NrConjugacyClasses:= 130; 
chartbl_453840_a.ConjugacyClasses:= [[1, 0, 0, 1], [60, 0, 0, 60], [38, 10, 57, 23], [55, 13, 7, 5], [11, 0, 0, 11], [50, 0, 0, 50], [10, 22, 37, 51], [4, 58, 50, 39], [49, 54, 15, 29], [41, 21, 9, 21], [59, 56, 2, 36], [25, 56, 2, 2], [2, 28, 12, 16], [18, 16, 33, 26], [37, 24, 27, 1], [60, 24, 27, 24], [6, 32, 36, 19], [42, 32, 36, 55], [13, 48, 38, 37], [24, 48, 38, 48], [1, 11, 49, 52], [9, 11, 49, 60], [50, 15, 55, 58], [31, 34, 23, 41], [35, 8, 9, 23], [52, 24, 27, 16], [15, 54, 58, 42], [19, 54, 58, 46], [7, 3, 10, 39], [22, 3, 10, 54], [59, 4, 40, 11], [14, 15, 28, 17], [44, 15, 28, 47], [50, 4, 40, 2], [42, 43, 1, 33], [22, 20, 26, 32], [54, 34, 32, 10], [27, 53, 14, 23], [33, 35, 47, 11], [50, 35, 47, 28], [52, 46, 6, 44], [17, 46, 6, 9], [47, 55, 39, 56], [5, 55, 39, 14], [7, 52, 28, 51], [10, 52, 28, 54], [17, 10, 4, 6], [24, 47, 31, 15], [47, 34, 38, 34], [20, 3, 50, 35], [47, 35, 14, 39], [24, 9, 28, 8], [17, 50, 20, 23], [1, 43, 5, 33], [6, 24, 34, 4], [15, 21, 45, 59], [34, 32, 25, 11], [35, 44, 42, 11], [39, 4, 26, 59], [8, 48, 7, 4], [23, 2, 13, 33], [14, 37, 42, 2], [59, 37, 42, 47], [45, 8, 47, 49], [12, 8, 47, 16], [53, 34, 32, 9], [52, 34, 32, 8], [3, 46, 11, 26], [35, 46, 11, 58], [54, 1, 10, 42], [5, 29, 46, 23], [37, 16, 38, 28], [36, 33, 25, 6], [55, 33, 25, 25], [33, 16, 38, 24], [38, 29, 46, 56], [19, 1, 10, 7], [18, 17, 44, 45], [35, 34, 27, 28], [28, 2, 13, 38], [57, 48, 7, 53], [2, 4, 26, 22], [50, 44, 42, 26], [50, 32, 25, 27], [2, 21, 45, 46], [57, 24, 34, 55], [28, 43, 5, 60], [38, 50, 20, 44], [53, 9, 28, 37], [22, 35, 14, 14], [26, 3, 50, 41], [27, 34, 38, 14], [46, 47, 31, 37], [55, 10, 4, 44], [21, 22, 39, 38], [31, 32, 29, 28], [50, 15, 6, 3], [58, 15, 6, 11], [9, 60, 24, 4], [57, 60, 24, 52], [56, 41, 53, 17], [44, 41, 53, 5], [27, 23, 58, 20], [41, 23, 58, 34], [18, 13, 54, 22], [39, 13, 54, 43], [2, 42, 29, 29], [32, 42, 29, 59], [53, 14, 30, 1], [60, 14, 30, 8], [19, 28, 60, 37], [24, 28, 60, 42], [42, 4, 26, 1], [60, 4, 26, 19], [8, 53, 9, 29], [32, 53, 9, 53], [59, 17, 19, 22], [39, 17, 19, 2], [43, 32, 25, 20], [41, 32, 25, 18], [34, 21, 45, 17], [44, 21, 45, 27], [5, 12, 17, 4], [57, 12, 17, 56], [52, 39, 40, 3], [58, 39, 40, 9], [12, 1, 60, 10], [51, 1, 60, 49], [43, 54, 7, 57], [4, 54, 7, 18]];
chartbl_453840_a.IdentificationOfConjugacyClasses:= [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130];
chartbl_453840_a.ComputedPowerMaps:= [];
chartbl_453840_a.ComputedPowerMaps[2]:= [1, 1, 1, 4, 2, 2, 2, 9, 8, 4, 4, 4, 9, 8, 8, 8, 9, 9, 10, 10, 10, 10, 24, 25, 26, 23, 13, 13, 14, 14, 13, 14, 14, 13, 24, 23, 26, 25, 23, 23, 26, 26, 25, 25, 24, 24, 48, 50, 52, 54, 56, 58, 60, 61, 59, 57, 55, 53, 51, 49, 47, 35, 35, 36, 36, 37, 37, 38, 38, 37, 38, 35, 36, 36, 35, 38, 37, 79, 78, 47, 49, 51, 53, 55, 57, 59, 61, 60, 58, 56, 54, 52, 50, 48, 78, 79, 80, 80, 81, 81, 82, 82, 83, 83, 84, 84, 85, 85, 86, 86, 87, 87, 88, 88, 89, 89, 90, 90, 91, 91, 92, 92, 93, 93, 94, 94, 95, 95, 96, 96];
chartbl_453840_a.ComputedPowerMaps[3]:= [1, 2, 3, 1, 6, 5, 7, 9, 8, 2, 3, 3, 14, 13, 17, 18, 16, 15, 6, 5, 7, 7, 8, 9, 8, 9, 29, 30, 27, 28, 32, 34, 31, 33, 13, 14, 13, 14, 15, 16, 18, 17, 15, 16, 17, 18, 49, 52, 55, 58, 61, 59, 56, 53, 50, 47, 48, 51, 54, 57, 60, 27, 28, 29, 30, 28, 27, 30, 29, 31, 33, 34, 33, 32, 31, 32, 34, 78, 79, 81, 84, 87, 90, 93, 94, 91, 88, 85, 82, 80, 83, 86, 89, 92, 95, 96, 99, 100, 105, 106, 111, 112, 117, 118, 123, 124, 125, 126, 119, 120, 113, 114, 107, 108, 101, 102, 98, 97, 104, 103, 110, 109, 116, 115, 122, 121, 128, 127, 130, 129];
chartbl_453840_a.ComputedPowerMaps[5]:= [1, 2, 3, 4, 5, 6, 7, 1, 1, 10, 12, 11, 2, 2, 3, 3, 3, 3, 19, 20, 22, 21, 4, 4, 4, 4, 6, 5, 5, 6, 7, 7, 7, 7, 10, 10, 10, 10, 11, 12, 11, 12, 12, 11, 11, 12, 51, 56, 61, 57, 52, 47, 50, 55, 60, 58, 53, 48, 49, 54, 59, 19, 20, 20, 19, 20, 19, 19, 20, 21, 22, 21, 21, 22, 22, 21, 22, 78, 79, 82, 87, 92, 93, 88, 83, 81, 86, 91, 94, 89, 84, 80, 85, 90, 95, 96, 101, 102, 111, 112, 121, 122, 123, 124, 113, 114, 103, 104, 100, 99, 110, 109, 120, 119, 126, 125, 116, 115, 106, 105, 97, 98, 107, 108, 117, 118, 127, 128, 129, 130];
chartbl_453840_a.ComputedPowerMaps[31]:= [1, 2, 3, 4, 6, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 19, 22, 21, 23, 24, 25, 26, 28, 27, 30, 29, 34, 33, 32, 31, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 63, 62, 65, 64, 67, 66, 69, 68, 77, 76, 75, 74, 73, 72, 71, 70, 79, 78, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 96, 95, 5, 6, 6, 5, 5, 6, 6, 5, 5, 6, 6, 5, 5, 6, 6, 5, 5, 6, 6, 5, 5, 6, 6, 5, 5, 6, 6, 5, 5, 6, 129, 130, 127, 128];
chartbl_453840_a.ComputedPowerMaps[61]:= [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 1, 1, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 2, 2, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 5, 6, 6, 5];
chartbl_453840_a.SizesCentralizers:= [453840, 453840, 120, 120, 453840, 453840, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 244, 244, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 244, 244, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 244, 244, 244, 244];
chartbl_453840_a.ClassNames:= ["1A", "2A", "2B", "3A", "4A1", "4A-1", "4B", "5A1", "5A2", "6A", "6B1", "6B-1", "10A1", "10A3", "10B1", "10B-1", "10B3", "10B-3", "12A1", "12A-1", "12B1", "12B5", "15A1", "15A2", "15A4", "15A7", "20A1", "20A-1", "20A3", "20A-3", "20B1", "20B3", "20B7", "20B9", "30A1", "30A7", "30A11", "30A13", "30B1", "30B-1", "30B7", "30B-7", "30B11", "30B-11", "30B13", "30B-13", "31A1", "31A2", "31A3", "31A4", "31A5", "31A6", "31A7", "31A8", "31A9", "31A10", "31A11", "31A12", "31A13", "31A14", "31A15", "60A1", "60A-1", "60A7", "60A-7", "60A11", "60A-11", "60A13", "60A-13", "60B1", "60B7", "60B11", "60B13", "60B17", "60B19", "60B23", "60B29", "61A1", "61A2", "62A1", "62A3", "62A5", "62A7", "62A9", "62A11", "62A13", "62A15", "62A17", "62A19", "62A21", "62A23", "62A25", "62A27", "62A29", "122A1", "122A7", "124A1", "124A-1", "124A3", "124A-3", "124A5", "124A-5", "124A7", "124A-7", "124A9", "124A-9", "124A11", "124A-11", "124A13", "124A-13", "124A15", "124A-15", "124A17", "124A-17", "124A19", "124A-19", "124A21", "124A-21", "124A23", "124A-23", "124A25", "124A-25", "124A27", "124A-27", "124A29", "124A-29", "244A1", "244A-1", "244A7", "244A-7"];
chartbl_453840_a.OrderClassRepresentatives:= [1, 2, 2, 3, 4, 4, 4, 5, 5, 6, 6, 6, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 15, 15, 15, 15, 20, 20, 20, 20, 20, 20, 20, 20, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 61, 61, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 122, 122, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 124, 244, 244, 244, 244];
chartbl_453840_a.Irr:= [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], [30, -30, 0, 0, -30*E(244)^61, 30*E(244)^61, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1-E(244)^4-E(244)^12+E(244)^14-E(244)^16-E(244)^20+E(244)^22+E(244)^34-E(244)^36+E(244)^42+E(244)^46-E(244)^48-E(244)^52-E(244)^56+E(244)^58-E(244)^60+E(244)^62-E(244)^64+E(244)^66+E(244)^70+E(244)^74-E(244)^76-E(244)^80+E(244)^86-E(244)^88-E(244)^100+E(244)^102+E(244)^106-E(244)^108+E(244)^110+E(244)^118, E(244)^4+E(244)^12-E(244)^14+E(244)^16+E(244)^20-E(244)^22-E(244)^34+E(244)^36-E(244)^42-E(244)^46+E(244)^48+E(244)^52+E(244)^56-E(244)^58+E(244)^60-E(244)^62+E(244)^64-E(244)^66-E(244)^70-E(244)^74+E(244)^76+E(244)^80-E(244)^86+E(244)^88+E(244)^100-E(244)^102-E(244)^106+E(244)^108-E(244)^110-E(244)^118, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1*E(244)^4-E(244)^12+E(244)^14-E(244)^16-E(244)^20+E(244)^22+E(244)^34-E(244)^36+E(244)^42+E(244)^46-E(244)^48-E(244)^52-E(244)^56+E(244)^58-E(244)^60+E(244)^62-E(244)^64+E(244)^66+E(244)^70+E(244)^74-E(244)^76-E(244)^80+E(244)^86-E(244)^88-E(244)^100+E(244)^102+E(244)^106-E(244)^108+E(244)^110+E(244)^118, 1+E(244)^4+E(244)^12-E(244)^14+E(244)^16+E(244)^20-E(244)^22-E(244)^34+E(244)^36-E(244)^42-E(244)^46+E(244)^48+E(244)^52+E(244)^56-E(244)^58+E(244)^60-E(244)^62+E(244)^64-E(244)^66-E(244)^70-E(244)^74+E(244)^76+E(244)^80-E(244)^86+E(244)^88+E(244)^100-E(244)^102-E(244)^106+E(244)^108-E(244)^110-E(244)^118, -1*E(244)^61, E(244)^61, E(244)^61, -1*E(244)^61, -1*E(244)^61, E(244)^61, E(244)^61, -1*E(244)^61, -1*E(244)^61, E(244)^61, E(244)^61, -1*E(244)^61, -1*E(244)^61, E(244)^61, E(244)^61, -1*E(244)^61, -1*E(244)^61, E(244)^61, E(244)^61, -1*E(244)^61, -1*E(244)^61, E(244)^61, E(244)^61, -1*E(244)^61, -1*E(244)^61, E(244)^61, E(244)^61, -1*E(244)^61, -1*E(244)^61, E(244)^61, E(244)^7+E(244)^11-E(244)^17-E(244)^21+E(244)^23-E(244)^29+E(244)^31-E(244)^33+E(244)^35-E(244)^37+E(244)^43+E(244)^51-E(244)^53+E(244)^55+E(244)^59+E(244)^63+E(244)^67-E(244)^69+E(244)^71+E(244)^79-E(244)^85+E(244)^87-E(244)^89+E(244)^91-E(244)^93+E(244)^99-E(244)^101-E(244)^105+E(244)^111+E(244)^115, -1*E(244)^7-E(244)^11+E(244)^17+E(244)^21-E(244)^23+E(244)^29-E(244)^31+E(244)^33-E(244)^35+E(244)^37-E(244)^43-E(244)^51+E(244)^53-E(244)^55-E(244)^59-E(244)^63-E(244)^67+E(244)^69-E(244)^71-E(244)^79+E(244)^85-E(244)^87+E(244)^89-E(244)^91+E(244)^93-E(244)^99+E(244)^101+E(244)^105-E(244)^111-E(244)^115, E(244)^7+E(244)^11-E(244)^17-E(244)^21+E(244)^23-E(244)^29+E(244)^31-E(244)^33+E(244)^35-E(244)^37+E(244)^43+E(244)^51-E(244)^53+E(244)^55+E(244)^59-E(244)^61+E(244)^63+E(244)^67-E(244)^69+E(244)^71+E(244)^79-E(244)^85+E(244)^87-E(244)^89+E(244)^91-E(244)^93+E(244)^99-E(244)^101-E(244)^105+E(244)^111+E(244)^115, -1*E(244)^7-E(244)^11+E(244)^17+E(244)^21-E(244)^23+E(244)^29-E(244)^31+E(244)^33-E(244)^35+E(244)^37-E(244)^43-E(244)^51+E(244)^53-E(244)^55-E(244)^59+E(244)^61-E(244)^63-E(244)^67+E(244)^69-E(244)^71-E(244)^79+E(244)^85-E(244)^87+E(244)^89-E(244)^91+E(244)^93-E(244)^99+E(244)^101+E(244)^105-E(244)^111-E(244)^115], [30, -30, 0, 0, 30*E(244)^61, -30*E(244)^61, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1-E(244)^4-E(244)^12+E(244)^14-E(244)^16-E(244)^20+E(244)^22+E(244)^34-E(244)^36+E(244)^42+E(244)^46-E(244)^48-E(244)^52-E(244)^56+E(244)^58-E(244)^60+E(244)^62-E(244)^64+E(244)^66+E(244)^70+E(244)^74-E(244)^76-E(244)^80+E(244)^86-E(244)^88-E(244)^100+E(244)^102+E(244)^106-E(244)^108+E(244)^110+E(244)^118, E(244)^4+E(244)^12-E(244)^14+E(244)^16+E(244)^20-E(244)^22-E(244)^34+E(244)^36-E(244)^42-E(244)^46+E(244)^48+E(244)^52+E(244)^56-E(244)^58+E(244)^60-E(244)^62+E(244)^64-E(244)^66-E(244)^70-E(244)^74+E(244)^76+E(244)^80-E(244)^86+E(244)^88+E(244)^100-E(244)^102-E(244)^106+E(244)^108-E(244)^110-E(244)^118, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1*E(244)^4-E(244)^12+E(244)^14-E(244)^16-E(244)^20+E(244)^22+E(244)^34-E(244)^36+E(244)^42+E(244)^46-E(244)^48-E(244)^52-E(244)^56+E(244)^58-E(244)^60+E(244)^62-E(244)^64+E(244)^66+E(244)^70+E(244)^74-E(244)^76-E(244)^80+E(244)^86-E(244)^88-E(244)^100+E(244)^102+E(244)^106-E(244)^108+E(244)^110+E(244)^118, 1+E(244)^4+E(244)^12-E(244)^14+E(244)^16+E(244)^20-E(244)^22-E(244)^34+E(244)^36-E(244)^42-E(244)^46+E(244)^48+E(244)^52+E(244)^56-E(244)^58+E(244)^60-E(244)^62+E(244)^64-E(244)^66-E(244)^70-E(244)^74+E(244)^76+E(244)^80-E(244)^86+E(244)^88+E(244)^100-E(244)^102-E(244)^106+E(244)^108-E(244)^110-E(244)^118, E(244)^61, -1*E(244)^61, -1*E(244)^61, E(244)^61, E(244)^61, -1*E(244)^61, -1*E(244)^61, E(244)^61, E(244)^61, -1*E(244)^61, -1*E(244)^61, E(244)^61, E(244)^61, -1*E(244)^61, -1*E(244)^61, E(244)^61, E(244)^61, -1*E(244)^61, -1*E(244)^61, E(244)^61, E(244)^61, -1*E(244)^61, -1*E(244)^61, E(244)^61, E(244)^61, -1*E(244)^61, -1*E(244)^61, E(244)^61, E(244)^61, -1*E(244)^61, -1*E(244)^7-E(244)^11+E(244)^17+E(244)^21-E(244)^23+E(244)^29-E(244)^31+E(244)^33-E(244)^35+E(244)^37-E(244)^43-E(244)^51+E(244)^53-E(244)^55-E(244)^59-E(244)^63-E(244)^67+E(244)^69-E(244)^71-E(244)^79+E(244)^85-E(244)^87+E(244)^89-E(244)^91+E(244)^93-E(244)^99+E(244)^101+E(244)^105-E(244)^111-E(244)^115, E(244)^7+E(244)^11-E(244)^17-E(244)^21+E(244)^23-E(244)^29+E(244)^31-E(244)^33+E(244)^35-E(244)^37+E(244)^43+E(244)^51-E(244)^53+E(244)^55+E(244)^59+E(244)^63+E(244)^67-E(244)^69+E(244)^71+E(244)^79-E(244)^85+E(244)^87-E(244)^89+E(244)^91-E(244)^93+E(244)^99-E(244)^101-E(244)^105+E(244)^111+E(244)^115, -1*E(244)^7-E(244)^11+E(244)^17+E(244)^21-E(244)^23+E(244)^29-E(244)^31+E(244)^33-E(244)^35+E(244)^37-E(244)^43-E(244)^51+E(244)^53-E(244)^55-E(244)^59+E(244)^61-E(244)^63-E(244)^67+E(244)^69-E(244)^71-E(244)^79+E(244)^85-E(244)^87+E(244)^89-E(244)^91+E(244)^93-E(244)^99+E(244)^101+E(244)^105-E(244)^111-E(244)^115, E(244)^7+E(244)^11-E(244)^17-E(244)^21+E(244)^23-E(244)^29+E(244)^31-E(244)^33+E(244)^35-E(244)^37+E(244)^43+E(244)^51-E(244)^53+E(244)^55+E(244)^59-E(244)^61+E(244)^63+E(244)^67-E(244)^69+E(244)^71+E(244)^79-E(244)^85+E(244)^87-E(244)^89+E(244)^91-E(244)^93+E(244)^99-E(244)^101-E(244)^105+E(244)^111+E(244)^115], [30, -30, 0, 0, -30*E(244)^61, 30*E(244)^61, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(244)^4+E(244)^12-E(244)^14+E(244)^16+E(244)^20-E(244)^22-E(244)^34+E(244)^36-E(244)^42-E(244)^46+E(244)^48+E(244)^52+E(244)^56-E(244)^58+E(244)^60-E(244)^62+E(244)^64-E(244)^66-E(244)^70-E(244)^74+E(244)^76+E(244)^80-E(244)^86+E(244)^88+E(244)^100-E(244)^102-E(244)^106+E(244)^108-E(244)^110-E(244)^118, -1-E(244)^4-E(244)^12+E(244)^14-E(244)^16-E(244)^20+E(244)^22+E(244)^34-E(244)^36+E(244)^42+E(244)^46-E(244)^48-E(244)^52-E(244)^56+E(244)^58-E(244)^60+E(244)^62-E(244)^64+E(244)^66+E(244)^70+E(244)^74-E(244)^76-E(244)^80+E(244)^86-E(244)^88-E(244)^100+E(244)^102+E(244)^106-E(244)^108+E(244)^110+E(244)^118, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1+E(244)^4+E(244)^12-E(244)^14+E(244)^16+E(244)^20-E(244)^22-E(244)^34+E(244)^36-E(244)^42-E(244)^46+E(244)^48+E(244)^52+E(244)^56-E(244)^58+E(244)^60-E(244)^62+E(244)^64-E(244)^66-E(244)^70-E(244)^74+E(244)^76+E(244)^80-E(244)^86+E(244)^88+E(244)^100-E(244)^102-E(244)^106+E(244)^108-E(244)^110-E(244)^118, 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E(244)^7+E(244)^11-E(244)^17-E(244)^21+E(244)^23-E(244)^29+E(244)^31-E(244)^33+E(244)^35-E(244)^37+E(244)^43+E(244)^51-E(244)^53+E(244)^55+E(244)^59-E(244)^61+E(244)^63+E(244)^67-E(244)^69+E(244)^71+E(244)^79-E(244)^85+E(244)^87-E(244)^89+E(244)^91-E(244)^93+E(244)^99-E(244)^101-E(244)^105+E(244)^111+E(244)^115, -1*E(244)^7-E(244)^11+E(244)^17+E(244)^21-E(244)^23+E(244)^29-E(244)^31+E(244)^33-E(244)^35+E(244)^37-E(244)^43-E(244)^51+E(244)^53-E(244)^55-E(244)^59-E(244)^63-E(244)^67+E(244)^69-E(244)^71-E(244)^79+E(244)^85-E(244)^87+E(244)^89-E(244)^91+E(244)^93-E(244)^99+E(244)^101+E(244)^105-E(244)^111-E(244)^115, E(244)^7+E(244)^11-E(244)^17-E(244)^21+E(244)^23-E(244)^29+E(244)^31-E(244)^33+E(244)^35-E(244)^37+E(244)^43+E(244)^51-E(244)^53+E(244)^55+E(244)^59+E(244)^63+E(244)^67-E(244)^69+E(244)^71+E(244)^79-E(244)^85+E(244)^87-E(244)^89+E(244)^91-E(244)^93+E(244)^99-E(244)^101-E(244)^105+E(244)^111+E(244)^115], [30, -30, 0, 0, 30*E(244)^61, -30*E(244)^61, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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1+E(244)^4+E(244)^12-E(244)^14+E(244)^16+E(244)^20-E(244)^22-E(244)^34+E(244)^36-E(244)^42-E(244)^46+E(244)^48+E(244)^52+E(244)^56-E(244)^58+E(244)^60-E(244)^62+E(244)^64-E(244)^66-E(244)^70-E(244)^74+E(244)^76+E(244)^80-E(244)^86+E(244)^88+E(244)^100-E(244)^102-E(244)^106+E(244)^108-E(244)^110-E(244)^118, -1*E(244)^4-E(244)^12+E(244)^14-E(244)^16-E(244)^20+E(244)^22+E(244)^34-E(244)^36+E(244)^42+E(244)^46-E(244)^48-E(244)^52-E(244)^56+E(244)^58-E(244)^60+E(244)^62-E(244)^64+E(244)^66+E(244)^70+E(244)^74-E(244)^76-E(244)^80+E(244)^86-E(244)^88-E(244)^100+E(244)^102+E(244)^106-E(244)^108+E(244)^110+E(244)^118, E(244)^61, -1*E(244)^61, -1*E(244)^61, E(244)^61, E(244)^61, -1*E(244)^61, -1*E(244)^61, E(244)^61, E(244)^61, -1*E(244)^61, -1*E(244)^61, E(244)^61, E(244)^61, -1*E(244)^61, -1*E(244)^61, E(244)^61, E(244)^61, -1*E(244)^61, -1*E(244)^61, E(244)^61, E(244)^61, -1*E(244)^61, -1*E(244)^61, E(244)^61, E(244)^61, -1*E(244)^61, -1*E(244)^61, E(244)^61, E(244)^61, -1*E(244)^61, 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1+E(61)^2+E(61)^6+E(61)^7+E(61)^8+E(61)^10+E(61)^11+E(61)^17+E(61)^18+E(61)^21+E(61)^23+E(61)^24+E(61)^26+E(61)^28+E(61)^29+E(61)^30+E(61)^-30+E(61)^-29+E(61)^-28+E(61)^-26+E(61)^-24+E(61)^-23+E(61)^-21+E(61)^-18+E(61)^-17+E(61)^-11+E(61)^-10+E(61)^-8+E(61)^-7+E(61)^-6+E(61)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1+E(61)^2+E(61)^6+E(61)^7+E(61)^8+E(61)^10+E(61)^11+E(61)^17+E(61)^18+E(61)^21+E(61)^23+E(61)^24+E(61)^26+E(61)^28+E(61)^29+E(61)^30+E(61)^-30+E(61)^-29+E(61)^-28+E(61)^-26+E(61)^-24+E(61)^-23+E(61)^-21+E(61)^-18+E(61)^-17+E(61)^-11+E(61)^-10+E(61)^-8+E(61)^-7+E(61)^-6+E(61)^-2, -1*E(61)^2-E(61)^6-E(61)^7-E(61)^8-E(61)^10-E(61)^11-E(61)^17-E(61)^18-E(61)^21-E(61)^23-E(61)^24-E(61)^26-E(61)^28-E(61)^29-E(61)^30-E(61)^-30-E(61)^-29-E(61)^-28-E(61)^-26-E(61)^-24-E(61)^-23-E(61)^-21-E(61)^-18-E(61)^-17-E(61)^-11-E(61)^-10-E(61)^-8-E(61)^-7-E(61)^-6-E(61)^-2, 0, 0, 0, 0, 0, 0, 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*E(61)^2-E(61)^6-E(61)^7-E(61)^8-E(61)^10-E(61)^11-E(61)^17-E(61)^18-E(61)^21-E(61)^23-E(61)^24-E(61)^26-E(61)^28-E(61)^29-E(61)^30-E(61)^-30-E(61)^-29-E(61)^-28-E(61)^-26-E(61)^-24-E(61)^-23-E(61)^-21-E(61)^-18-E(61)^-17-E(61)^-11-E(61)^-10-E(61)^-8-E(61)^-7-E(61)^-6-E(61)^-2, -1*E(61)^2-E(61)^6-E(61)^7-E(61)^8-E(61)^10-E(61)^11-E(61)^17-E(61)^18-E(61)^21-E(61)^23-E(61)^24-E(61)^26-E(61)^28-E(61)^29-E(61)^30-E(61)^-30-E(61)^-29-E(61)^-28-E(61)^-26-E(61)^-24-E(61)^-23-E(61)^-21-E(61)^-18-E(61)^-17-E(61)^-11-E(61)^-10-E(61)^-8-E(61)^-7-E(61)^-6-E(61)^-2, 1+E(61)^2+E(61)^6+E(61)^7+E(61)^8+E(61)^10+E(61)^11+E(61)^17+E(61)^18+E(61)^21+E(61)^23+E(61)^24+E(61)^26+E(61)^28+E(61)^29+E(61)^30+E(61)^-30+E(61)^-29+E(61)^-28+E(61)^-26+E(61)^-24+E(61)^-23+E(61)^-21+E(61)^-18+E(61)^-17+E(61)^-11+E(61)^-10+E(61)^-8+E(61)^-7+E(61)^-6+E(61)^-2, 1+E(61)^2+E(61)^6+E(61)^7+E(61)^8+E(61)^10+E(61)^11+E(61)^17+E(61)^18+E(61)^21+E(61)^23+E(61)^24+E(61)^26+E(61)^28+E(61)^29+E(61)^30+E(61)^-30+E(61)^-29+E(61)^-28+E(61)^-26+E(61)^-24+E(61)^-23+E(61)^-21+E(61)^-18+E(61)^-17+E(61)^-11+E(61)^-10+E(61)^-8+E(61)^-7+E(61)^-6+E(61)^-2], [31, 31, 1, 1, -31, -31, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1+E(61)^2+E(61)^6+E(61)^7+E(61)^8+E(61)^10+E(61)^11+E(61)^17+E(61)^18+E(61)^21+E(61)^23+E(61)^24+E(61)^26+E(61)^28+E(61)^29+E(61)^30+E(61)^-30+E(61)^-29+E(61)^-28+E(61)^-26+E(61)^-24+E(61)^-23+E(61)^-21+E(61)^-18+E(61)^-17+E(61)^-11+E(61)^-10+E(61)^-8+E(61)^-7+E(61)^-6+E(61)^-2, -1*E(61)^2-E(61)^6-E(61)^7-E(61)^8-E(61)^10-E(61)^11-E(61)^17-E(61)^18-E(61)^21-E(61)^23-E(61)^24-E(61)^26-E(61)^28-E(61)^29-E(61)^30-E(61)^-30-E(61)^-29-E(61)^-28-E(61)^-26-E(61)^-24-E(61)^-23-E(61)^-21-E(61)^-18-E(61)^-17-E(61)^-11-E(61)^-10-E(61)^-8-E(61)^-7-E(61)^-6-E(61)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(61)^2-E(61)^6-E(61)^7-E(61)^8-E(61)^10-E(61)^11-E(61)^17-E(61)^18-E(61)^21-E(61)^23-E(61)^24-E(61)^26-E(61)^28-E(61)^29-E(61)^30-E(61)^-30-E(61)^-29-E(61)^-28-E(61)^-26-E(61)^-24-E(61)^-23-E(61)^-21-E(61)^-18-E(61)^-17-E(61)^-11-E(61)^-10-E(61)^-8-E(61)^-7-E(61)^-6-E(61)^-2, 1+E(61)^2+E(61)^6+E(61)^7+E(61)^8+E(61)^10+E(61)^11+E(61)^17+E(61)^18+E(61)^21+E(61)^23+E(61)^24+E(61)^26+E(61)^28+E(61)^29+E(61)^30+E(61)^-30+E(61)^-29+E(61)^-28+E(61)^-26+E(61)^-24+E(61)^-23+E(61)^-21+E(61)^-18+E(61)^-17+E(61)^-11+E(61)^-10+E(61)^-8+E(61)^-7+E(61)^-6+E(61)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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E(61)^2+E(61)^6+E(61)^7+E(61)^8+E(61)^10+E(61)^11+E(61)^17+E(61)^18+E(61)^21+E(61)^23+E(61)^24+E(61)^26+E(61)^28+E(61)^29+E(61)^30+E(61)^-30+E(61)^-29+E(61)^-28+E(61)^-26+E(61)^-24+E(61)^-23+E(61)^-21+E(61)^-18+E(61)^-17+E(61)^-11+E(61)^-10+E(61)^-8+E(61)^-7+E(61)^-6+E(61)^-2], [31, 31, 1, 1, -31, -31, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1*E(61)^2-E(61)^6-E(61)^7-E(61)^8-E(61)^10-E(61)^11-E(61)^17-E(61)^18-E(61)^21-E(61)^23-E(61)^24-E(61)^26-E(61)^28-E(61)^29-E(61)^30-E(61)^-30-E(61)^-29-E(61)^-28-E(61)^-26-E(61)^-24-E(61)^-23-E(61)^-21-E(61)^-18-E(61)^-17-E(61)^-11-E(61)^-10-E(61)^-8-E(61)^-7-E(61)^-6-E(61)^-2, 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-1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, 1, 1, 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, 0, -1, -1, -1, -1], [62, 62, 2, 2, -62, -62, -2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, 2, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, -2, -2, -2, -2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, 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E(12)^3, -1*E(12)^3, -1*E(12)^3, E(12)^3], [62, 62, 2, -1, 62, 62, 2, E(15)^6+E(15)^-6, E(15)^3+E(15)^-3, -1, -1, -1, E(15)^6+E(15)^-6, E(15)^3+E(15)^-3, E(15)^3+E(15)^-3, E(15)^3+E(15)^-3, E(15)^6+E(15)^-6, E(15)^6+E(15)^-6, -1, -1, -1, -1, E(15)^7+E(15)^-7, E(15)+E(15)^-1, E(15)^2+E(15)^-2, E(15)^4+E(15)^-4, E(15)^3+E(15)^-3, E(15)^3+E(15)^-3, E(15)^6+E(15)^-6, E(15)^6+E(15)^-6, E(15)^3+E(15)^-3, E(15)^6+E(15)^-6, E(15)^6+E(15)^-6, E(15)^3+E(15)^-3, E(15)^7+E(15)^-7, E(15)^4+E(15)^-4, E(15)^2+E(15)^-2, E(15)+E(15)^-1, E(15)^4+E(15)^-4, E(15)^4+E(15)^-4, E(15)^2+E(15)^-2, E(15)^2+E(15)^-2, E(15)+E(15)^-1, E(15)+E(15)^-1, E(15)^7+E(15)^-7, E(15)^7+E(15)^-7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(15)^4+E(15)^-4, E(15)^4+E(15)^-4, E(15)^2+E(15)^-2, E(15)^2+E(15)^-2, E(15)+E(15)^-1, E(15)+E(15)^-1, E(15)^7+E(15)^-7, E(15)^7+E(15)^-7, E(15)+E(15)^-1, E(15)^7+E(15)^-7, E(15)^4+E(15)^-4, E(15)^2+E(15)^-2, E(15)^2+E(15)^-2, E(15)^4+E(15)^-4, E(15)^7+E(15)^-7, E(15)+E(15)^-1, 1, 1, 0, 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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1], [62, 62, -2, -1, -62, -62, 2, E(15)^3+E(15)^-3, E(15)^6+E(15)^-6, -1, 1, 1, E(15)^3+E(15)^-3, E(15)^6+E(15)^-6, -1*E(15)^6-E(15)^-6, -1*E(15)^6-E(15)^-6, -1*E(15)^3-E(15)^-3, -1*E(15)^3-E(15)^-3, 1, 1, -1, -1, E(15)+E(15)^-1, E(15)^2+E(15)^-2, E(15)^4+E(15)^-4, E(15)^7+E(15)^-7, -1*E(15)^6-E(15)^-6, -1*E(15)^6-E(15)^-6, -1*E(15)^3-E(15)^-3, -1*E(15)^3-E(15)^-3, E(15)^6+E(15)^-6, E(15)^3+E(15)^-3, E(15)^3+E(15)^-3, E(15)^6+E(15)^-6, E(15)+E(15)^-1, E(15)^7+E(15)^-7, E(15)^4+E(15)^-4, E(15)^2+E(15)^-2, -1*E(15)^7-E(15)^-7, -1*E(15)^7-E(15)^-7, -1*E(15)^4-E(15)^-4, -1*E(15)^4-E(15)^-4, -1*E(15)^2-E(15)^-2, -1*E(15)^2-E(15)^-2, -1*E(15)-E(15)^-1, -1*E(15)-E(15)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(15)^7-E(15)^-7, -1*E(15)^7-E(15)^-7, -1*E(15)^4-E(15)^-4, -1*E(15)^4-E(15)^-4, -1*E(15)^2-E(15)^-2, -1*E(15)^2-E(15)^-2, -1*E(15)-E(15)^-1, -1*E(15)-E(15)^-1, E(15)^2+E(15)^-2, E(15)+E(15)^-1, E(15)^7+E(15)^-7, E(15)^4+E(15)^-4, E(15)^4+E(15)^-4, E(15)^7+E(15)^-7, E(15)+E(15)^-1, E(15)^2+E(15)^-2, 1, 1, 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, 0, -1, -1, -1, -1], [62, 62, -2, -1, 62, 62, -2, E(15)^6+E(15)^-6, E(15)^3+E(15)^-3, -1, 1, 1, E(15)^6+E(15)^-6, E(15)^3+E(15)^-3, -1*E(15)^3-E(15)^-3, -1*E(15)^3-E(15)^-3, -1*E(15)^6-E(15)^-6, -1*E(15)^6-E(15)^-6, -1, -1, 1, 1, E(15)^7+E(15)^-7, E(15)+E(15)^-1, E(15)^2+E(15)^-2, E(15)^4+E(15)^-4, E(15)^3+E(15)^-3, E(15)^3+E(15)^-3, E(15)^6+E(15)^-6, E(15)^6+E(15)^-6, -1*E(15)^3-E(15)^-3, -1*E(15)^6-E(15)^-6, -1*E(15)^6-E(15)^-6, -1*E(15)^3-E(15)^-3, E(15)^7+E(15)^-7, E(15)^4+E(15)^-4, E(15)^2+E(15)^-2, E(15)+E(15)^-1, -1*E(15)^4-E(15)^-4, -1*E(15)^4-E(15)^-4, -1*E(15)^2-E(15)^-2, -1*E(15)^2-E(15)^-2, -1*E(15)-E(15)^-1, -1*E(15)-E(15)^-1, -1*E(15)^7-E(15)^-7, -1*E(15)^7-E(15)^-7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(15)^4+E(15)^-4, E(15)^4+E(15)^-4, E(15)^2+E(15)^-2, E(15)^2+E(15)^-2, E(15)+E(15)^-1, E(15)+E(15)^-1, E(15)^7+E(15)^-7, E(15)^7+E(15)^-7, -1*E(15)-E(15)^-1, -1*E(15)^7-E(15)^-7, -1*E(15)^4-E(15)^-4, -1*E(15)^2-E(15)^-2, -1*E(15)^2-E(15)^-2, -1*E(15)^4-E(15)^-4, -1*E(15)^7-E(15)^-7, -1*E(15)-E(15)^-1, 1, 1, 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, 0, 1, 1, 1, 1], [62, 62, -2, -1, 62, 62, -2, E(15)^6+E(15)^-6, E(15)^3+E(15)^-3, -1, 1, 1, E(15)^6+E(15)^-6, E(15)^3+E(15)^-3, -1*E(15)^3-E(15)^-3, -1*E(15)^3-E(15)^-3, -1*E(15)^6-E(15)^-6, -1*E(15)^6-E(15)^-6, -1, -1, 1, 1, E(15)^2+E(15)^-2, E(15)^4+E(15)^-4, E(15)^7+E(15)^-7, E(15)+E(15)^-1, E(15)^3+E(15)^-3, E(15)^3+E(15)^-3, E(15)^6+E(15)^-6, E(15)^6+E(15)^-6, -1*E(15)^3-E(15)^-3, -1*E(15)^6-E(15)^-6, -1*E(15)^6-E(15)^-6, -1*E(15)^3-E(15)^-3, E(15)^2+E(15)^-2, E(15)+E(15)^-1, E(15)^7+E(15)^-7, E(15)^4+E(15)^-4, -1*E(15)-E(15)^-1, -1*E(15)-E(15)^-1, -1*E(15)^7-E(15)^-7, -1*E(15)^7-E(15)^-7, -1*E(15)^4-E(15)^-4, -1*E(15)^4-E(15)^-4, -1*E(15)^2-E(15)^-2, -1*E(15)^2-E(15)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(15)+E(15)^-1, E(15)+E(15)^-1, E(15)^7+E(15)^-7, E(15)^7+E(15)^-7, E(15)^4+E(15)^-4, E(15)^4+E(15)^-4, E(15)^2+E(15)^-2, E(15)^2+E(15)^-2, -1*E(15)^4-E(15)^-4, -1*E(15)^2-E(15)^-2, -1*E(15)-E(15)^-1, -1*E(15)^7-E(15)^-7, -1*E(15)^7-E(15)^-7, -1*E(15)-E(15)^-1, -1*E(15)^2-E(15)^-2, -1*E(15)^4-E(15)^-4, 1, 1, 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, 0, 1, 1, 1, 1], [62, 62, -2, -1, 62, 62, -2, E(15)^3+E(15)^-3, E(15)^6+E(15)^-6, -1, 1, 1, E(15)^3+E(15)^-3, E(15)^6+E(15)^-6, -1*E(15)^6-E(15)^-6, -1*E(15)^6-E(15)^-6, -1*E(15)^3-E(15)^-3, -1*E(15)^3-E(15)^-3, -1, -1, 1, 1, E(15)^4+E(15)^-4, E(15)^7+E(15)^-7, E(15)+E(15)^-1, E(15)^2+E(15)^-2, E(15)^6+E(15)^-6, E(15)^6+E(15)^-6, E(15)^3+E(15)^-3, E(15)^3+E(15)^-3, -1*E(15)^6-E(15)^-6, -1*E(15)^3-E(15)^-3, -1*E(15)^3-E(15)^-3, -1*E(15)^6-E(15)^-6, E(15)^4+E(15)^-4, E(15)^2+E(15)^-2, E(15)+E(15)^-1, E(15)^7+E(15)^-7, -1*E(15)^2-E(15)^-2, -1*E(15)^2-E(15)^-2, -1*E(15)-E(15)^-1, -1*E(15)-E(15)^-1, -1*E(15)^7-E(15)^-7, -1*E(15)^7-E(15)^-7, -1*E(15)^4-E(15)^-4, -1*E(15)^4-E(15)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(15)^2+E(15)^-2, E(15)^2+E(15)^-2, E(15)+E(15)^-1, E(15)+E(15)^-1, E(15)^7+E(15)^-7, E(15)^7+E(15)^-7, E(15)^4+E(15)^-4, E(15)^4+E(15)^-4, -1*E(15)^7-E(15)^-7, -1*E(15)^4-E(15)^-4, -1*E(15)^2-E(15)^-2, -1*E(15)-E(15)^-1, -1*E(15)-E(15)^-1, -1*E(15)^2-E(15)^-2, -1*E(15)^4-E(15)^-4, -1*E(15)^7-E(15)^-7, 1, 1, 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, 0, 1, 1, 1, 1], [62, 62, -2, -1, 62, 62, -2, E(15)^3+E(15)^-3, E(15)^6+E(15)^-6, -1, 1, 1, E(15)^3+E(15)^-3, E(15)^6+E(15)^-6, -1*E(15)^6-E(15)^-6, -1*E(15)^6-E(15)^-6, -1*E(15)^3-E(15)^-3, -1*E(15)^3-E(15)^-3, -1, -1, 1, 1, E(15)+E(15)^-1, E(15)^2+E(15)^-2, E(15)^4+E(15)^-4, E(15)^7+E(15)^-7, E(15)^6+E(15)^-6, E(15)^6+E(15)^-6, E(15)^3+E(15)^-3, E(15)^3+E(15)^-3, -1*E(15)^6-E(15)^-6, -1*E(15)^3-E(15)^-3, -1*E(15)^3-E(15)^-3, -1*E(15)^6-E(15)^-6, E(15)+E(15)^-1, E(15)^7+E(15)^-7, E(15)^4+E(15)^-4, E(15)^2+E(15)^-2, -1*E(15)^7-E(15)^-7, -1*E(15)^7-E(15)^-7, -1*E(15)^4-E(15)^-4, -1*E(15)^4-E(15)^-4, -1*E(15)^2-E(15)^-2, -1*E(15)^2-E(15)^-2, -1*E(15)-E(15)^-1, -1*E(15)-E(15)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(15)^7+E(15)^-7, E(15)^7+E(15)^-7, E(15)^4+E(15)^-4, E(15)^4+E(15)^-4, E(15)^2+E(15)^-2, E(15)^2+E(15)^-2, E(15)+E(15)^-1, E(15)+E(15)^-1, -1*E(15)^2-E(15)^-2, -1*E(15)-E(15)^-1, -1*E(15)^7-E(15)^-7, -1*E(15)^4-E(15)^-4, -1*E(15)^4-E(15)^-4, -1*E(15)^7-E(15)^-7, -1*E(15)-E(15)^-1, -1*E(15)^2-E(15)^-2, 1, 1, 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, 0, 1, 1, 1, 1], [62, 62, 2, -1, -62, -62, -2, E(15)^6+E(15)^-6, E(15)^3+E(15)^-3, -1, -1, -1, E(15)^6+E(15)^-6, E(15)^3+E(15)^-3, E(15)^3+E(15)^-3, E(15)^3+E(15)^-3, E(15)^6+E(15)^-6, E(15)^6+E(15)^-6, 1, 1, 1, 1, E(15)^7+E(15)^-7, E(15)+E(15)^-1, E(15)^2+E(15)^-2, E(15)^4+E(15)^-4, -1*E(15)^3-E(15)^-3, -1*E(15)^3-E(15)^-3, -1*E(15)^6-E(15)^-6, -1*E(15)^6-E(15)^-6, -1*E(15)^3-E(15)^-3, -1*E(15)^6-E(15)^-6, -1*E(15)^6-E(15)^-6, -1*E(15)^3-E(15)^-3, E(15)^7+E(15)^-7, E(15)^4+E(15)^-4, E(15)^2+E(15)^-2, E(15)+E(15)^-1, E(15)^4+E(15)^-4, E(15)^4+E(15)^-4, E(15)^2+E(15)^-2, E(15)^2+E(15)^-2, E(15)+E(15)^-1, E(15)+E(15)^-1, E(15)^7+E(15)^-7, E(15)^7+E(15)^-7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(15)^4-E(15)^-4, -1*E(15)^4-E(15)^-4, -1*E(15)^2-E(15)^-2, -1*E(15)^2-E(15)^-2, -1*E(15)-E(15)^-1, -1*E(15)-E(15)^-1, -1*E(15)^7-E(15)^-7, -1*E(15)^7-E(15)^-7, -1*E(15)-E(15)^-1, -1*E(15)^7-E(15)^-7, -1*E(15)^4-E(15)^-4, -1*E(15)^2-E(15)^-2, -1*E(15)^2-E(15)^-2, -1*E(15)^4-E(15)^-4, -1*E(15)^7-E(15)^-7, -1*E(15)-E(15)^-1, 1, 1, 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, 0, -1, -1, -1, -1], [62, 62, 2, -1, -62, -62, -2, E(15)^6+E(15)^-6, E(15)^3+E(15)^-3, -1, -1, -1, E(15)^6+E(15)^-6, E(15)^3+E(15)^-3, E(15)^3+E(15)^-3, E(15)^3+E(15)^-3, E(15)^6+E(15)^-6, E(15)^6+E(15)^-6, 1, 1, 1, 1, E(15)^2+E(15)^-2, E(15)^4+E(15)^-4, E(15)^7+E(15)^-7, E(15)+E(15)^-1, -1*E(15)^3-E(15)^-3, -1*E(15)^3-E(15)^-3, -1*E(15)^6-E(15)^-6, -1*E(15)^6-E(15)^-6, -1*E(15)^3-E(15)^-3, -1*E(15)^6-E(15)^-6, -1*E(15)^6-E(15)^-6, -1*E(15)^3-E(15)^-3, E(15)^2+E(15)^-2, E(15)+E(15)^-1, E(15)^7+E(15)^-7, E(15)^4+E(15)^-4, E(15)+E(15)^-1, E(15)+E(15)^-1, E(15)^7+E(15)^-7, E(15)^7+E(15)^-7, E(15)^4+E(15)^-4, E(15)^4+E(15)^-4, E(15)^2+E(15)^-2, E(15)^2+E(15)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(15)-E(15)^-1, -1*E(15)-E(15)^-1, -1*E(15)^7-E(15)^-7, -1*E(15)^7-E(15)^-7, -1*E(15)^4-E(15)^-4, -1*E(15)^4-E(15)^-4, -1*E(15)^2-E(15)^-2, -1*E(15)^2-E(15)^-2, -1*E(15)^4-E(15)^-4, -1*E(15)^2-E(15)^-2, -1*E(15)-E(15)^-1, -1*E(15)^7-E(15)^-7, -1*E(15)^7-E(15)^-7, -1*E(15)-E(15)^-1, -1*E(15)^2-E(15)^-2, -1*E(15)^4-E(15)^-4, 1, 1, 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, 0, -1, -1, -1, -1], [62, 62, 2, -1, -62, -62, -2, E(15)^3+E(15)^-3, E(15)^6+E(15)^-6, -1, -1, -1, E(15)^3+E(15)^-3, E(15)^6+E(15)^-6, E(15)^6+E(15)^-6, E(15)^6+E(15)^-6, E(15)^3+E(15)^-3, E(15)^3+E(15)^-3, 1, 1, 1, 1, E(15)^4+E(15)^-4, E(15)^7+E(15)^-7, E(15)+E(15)^-1, E(15)^2+E(15)^-2, -1*E(15)^6-E(15)^-6, -1*E(15)^6-E(15)^-6, -1*E(15)^3-E(15)^-3, -1*E(15)^3-E(15)^-3, -1*E(15)^6-E(15)^-6, -1*E(15)^3-E(15)^-3, -1*E(15)^3-E(15)^-3, -1*E(15)^6-E(15)^-6, E(15)^4+E(15)^-4, E(15)^2+E(15)^-2, E(15)+E(15)^-1, E(15)^7+E(15)^-7, E(15)^2+E(15)^-2, E(15)^2+E(15)^-2, E(15)+E(15)^-1, E(15)+E(15)^-1, E(15)^7+E(15)^-7, E(15)^7+E(15)^-7, E(15)^4+E(15)^-4, E(15)^4+E(15)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(15)^2-E(15)^-2, -1*E(15)^2-E(15)^-2, -1*E(15)-E(15)^-1, -1*E(15)-E(15)^-1, -1*E(15)^7-E(15)^-7, -1*E(15)^7-E(15)^-7, -1*E(15)^4-E(15)^-4, -1*E(15)^4-E(15)^-4, -1*E(15)^7-E(15)^-7, -1*E(15)^4-E(15)^-4, -1*E(15)^2-E(15)^-2, -1*E(15)-E(15)^-1, -1*E(15)-E(15)^-1, -1*E(15)^2-E(15)^-2, -1*E(15)^4-E(15)^-4, -1*E(15)^7-E(15)^-7, 1, 1, 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, 0, -1, -1, -1, -1], [62, 62, 2, -1, -62, -62, -2, E(15)^3+E(15)^-3, E(15)^6+E(15)^-6, -1, -1, -1, E(15)^3+E(15)^-3, E(15)^6+E(15)^-6, E(15)^6+E(15)^-6, E(15)^6+E(15)^-6, E(15)^3+E(15)^-3, E(15)^3+E(15)^-3, 1, 1, 1, 1, E(15)+E(15)^-1, E(15)^2+E(15)^-2, E(15)^4+E(15)^-4, E(15)^7+E(15)^-7, -1*E(15)^6-E(15)^-6, -1*E(15)^6-E(15)^-6, -1*E(15)^3-E(15)^-3, -1*E(15)^3-E(15)^-3, -1*E(15)^6-E(15)^-6, -1*E(15)^3-E(15)^-3, -1*E(15)^3-E(15)^-3, -1*E(15)^6-E(15)^-6, 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-1*E(60)-E(60)^3+E(60)^7+E(60)^9+E(60)^11+E(60)^13-E(60)^15, E(60)+E(60)^3-E(60)^7-E(60)^9-E(60)^11-E(60)^13+E(60)^15, -2*E(60)+E(60)^5+E(60)^7+E(60)^9-E(60)^13-E(60)^15, 2*E(60)-E(60)^5-E(60)^7-E(60)^9+E(60)^13+E(60)^15, E(60)^13+E(60)^-13, -1*E(60)-E(60)^-1, -1*E(60)^7-E(60)^-7, E(60)^11+E(60)^-11, -1*E(60)^11-E(60)^-11, E(60)^7+E(60)^-7, E(60)+E(60)^-1, -1*E(60)^13-E(60)^-13, 1, 1, 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, 0, E(60)^15, -1*E(60)^15, -1*E(60)^15, E(60)^15], [62, -62, 0, -1, -62*E(60)^15, 62*E(60)^15, 0, E(60)^12+E(60)^-12, -1*E(60)^6-E(60)^-6, 1, -1+2*E(60)^10, 1-2*E(60)^10, -1*E(60)^12-E(60)^-12, E(60)^6+E(60)^-6, E(60)^4-E(60)^6-E(60)^14, -1*E(60)^4+E(60)^6+E(60)^14, -1+E(60)^4+E(60)^6-2*E(60)^12-E(60)^14, 1-E(60)^4-E(60)^6+2*E(60)^12+E(60)^14, E(60)^15, -1*E(60)^15, -1*E(60)^5-E(60)^-5, E(60)^5+E(60)^-5, -1*E(60)^14-E(60)^-14, -1*E(60)^2-E(60)^-2, E(60)^4+E(60)^-4, 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-1*E(60)^3-E(60)^-3, E(60)^3+E(60)^-3, -1*E(60)^9-E(60)^-9, E(60)^14+E(60)^-14, -1*E(60)^8-E(60)^-8, -1*E(60)^4-E(60)^-4, E(60)^2+E(60)^-2, -1*E(60)^2+E(60)^8+E(60)^12, E(60)^2-E(60)^8-E(60)^12, 1+E(60)^2-E(60)^4-E(60)^8-E(60)^10+E(60)^14, -1-E(60)^2+E(60)^4+E(60)^8+E(60)^10-E(60)^14, 1+E(60)^2-E(60)^4-E(60)^6-E(60)^8+E(60)^12+E(60)^14, -1-E(60)^2+E(60)^4+E(60)^6+E(60)^8-E(60)^12-E(60)^14, 1+E(60)^2-E(60)^6-E(60)^8-E(60)^10, -1-E(60)^2+E(60)^6+E(60)^8+E(60)^10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(60)^3+E(60)^7+E(60)^13, E(60)^3-E(60)^7-E(60)^13, -1*E(60)+E(60)^5+E(60)^7-E(60)^11-E(60)^13-E(60)^15, E(60)-E(60)^5-E(60)^7+E(60)^11+E(60)^13+E(60)^15, -1*E(60)-E(60)^3+E(60)^7+E(60)^9+E(60)^11+E(60)^13-E(60)^15, E(60)+E(60)^3-E(60)^7-E(60)^9-E(60)^11-E(60)^13+E(60)^15, -2*E(60)+E(60)^5+E(60)^7+E(60)^9-E(60)^13-E(60)^15, 2*E(60)-E(60)^5-E(60)^7-E(60)^9+E(60)^13+E(60)^15, -1*E(60)^13-E(60)^-13, E(60)+E(60)^-1, E(60)^7+E(60)^-7, -1*E(60)^11-E(60)^-11, E(60)^11+E(60)^-11, -1*E(60)^7-E(60)^-7, -1*E(60)-E(60)^-1, E(60)^13+E(60)^-13, 1, 1, 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, 0, E(60)^15, -1*E(60)^15, -1*E(60)^15, E(60)^15], [62, -62, 0, -1, -62*E(60)^15, 62*E(60)^15, 0, E(60)^12+E(60)^-12, -1*E(60)^6-E(60)^-6, 1, -1+2*E(60)^10, 1-2*E(60)^10, -1*E(60)^12-E(60)^-12, E(60)^6+E(60)^-6, -1*E(60)^4+E(60)^6+E(60)^14, E(60)^4-E(60)^6-E(60)^14, 1-E(60)^4-E(60)^6+2*E(60)^12+E(60)^14, -1+E(60)^4+E(60)^6-2*E(60)^12-E(60)^14, E(60)^15, -1*E(60)^15, -1*E(60)^5-E(60)^-5, E(60)^5+E(60)^-5, E(60)^4+E(60)^-4, E(60)^8+E(60)^-8, -1*E(60)^14-E(60)^-14, -1*E(60)^2-E(60)^-2, E(60)-E(60)^9-E(60)^11, -1*E(60)+E(60)^9+E(60)^11, E(60)-E(60)^9-E(60)^11+E(60)^15, -1*E(60)+E(60)^9+E(60)^11-E(60)^15, -1*E(60)^9-E(60)^-9, E(60)^3+E(60)^-3, -1*E(60)^3-E(60)^-3, E(60)^9+E(60)^-9, -1*E(60)^4-E(60)^-4, E(60)^2+E(60)^-2, E(60)^14+E(60)^-14, -1*E(60)^8-E(60)^-8, 1+E(60)^2-E(60)^4-E(60)^6-E(60)^8+E(60)^12+E(60)^14, -1-E(60)^2+E(60)^4+E(60)^6+E(60)^8-E(60)^12-E(60)^14, -1-E(60)^2+E(60)^6+E(60)^8+E(60)^10, 1+E(60)^2-E(60)^6-E(60)^8-E(60)^10, -1*E(60)^2+E(60)^8+E(60)^12, E(60)^2-E(60)^8-E(60)^12, -1-E(60)^2+E(60)^4+E(60)^8+E(60)^10-E(60)^14, 1+E(60)^2-E(60)^4-E(60)^8-E(60)^10+E(60)^14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(60)-E(60)^3+E(60)^7+E(60)^9+E(60)^11+E(60)^13-E(60)^15, E(60)+E(60)^3-E(60)^7-E(60)^9-E(60)^11-E(60)^13+E(60)^15, -2*E(60)+E(60)^5+E(60)^7+E(60)^9-E(60)^13-E(60)^15, 2*E(60)-E(60)^5-E(60)^7-E(60)^9+E(60)^13+E(60)^15, -1*E(60)^3+E(60)^7+E(60)^13, E(60)^3-E(60)^7-E(60)^13, -1*E(60)+E(60)^5+E(60)^7-E(60)^11-E(60)^13-E(60)^15, E(60)-E(60)^5-E(60)^7+E(60)^11+E(60)^13+E(60)^15, E(60)^7+E(60)^-7, E(60)^11+E(60)^-11, -1*E(60)^13-E(60)^-13, -1*E(60)-E(60)^-1, E(60)+E(60)^-1, E(60)^13+E(60)^-13, -1*E(60)^11-E(60)^-11, -1*E(60)^7-E(60)^-7, 1, 1, 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, 0, -1*E(60)^15, E(60)^15, E(60)^15, -1*E(60)^15], [62, -62, 0, -1, 62*E(60)^15, -62*E(60)^15, 0, E(60)^12+E(60)^-12, -1*E(60)^6-E(60)^-6, 1, 1-2*E(60)^10, -1+2*E(60)^10, -1*E(60)^12-E(60)^-12, E(60)^6+E(60)^-6, E(60)^4-E(60)^6-E(60)^14, -1*E(60)^4+E(60)^6+E(60)^14, -1+E(60)^4+E(60)^6-2*E(60)^12-E(60)^14, 1-E(60)^4-E(60)^6+2*E(60)^12+E(60)^14, -1*E(60)^15, E(60)^15, -1*E(60)^5-E(60)^-5, E(60)^5+E(60)^-5, E(60)^4+E(60)^-4, E(60)^8+E(60)^-8, -1*E(60)^14-E(60)^-14, -1*E(60)^2-E(60)^-2, -1*E(60)+E(60)^9+E(60)^11, E(60)-E(60)^9-E(60)^11, -1*E(60)+E(60)^9+E(60)^11-E(60)^15, E(60)-E(60)^9-E(60)^11+E(60)^15, -1*E(60)^9-E(60)^-9, E(60)^3+E(60)^-3, -1*E(60)^3-E(60)^-3, E(60)^9+E(60)^-9, -1*E(60)^4-E(60)^-4, E(60)^2+E(60)^-2, E(60)^14+E(60)^-14, -1*E(60)^8-E(60)^-8, -1-E(60)^2+E(60)^4+E(60)^6+E(60)^8-E(60)^12-E(60)^14, 1+E(60)^2-E(60)^4-E(60)^6-E(60)^8+E(60)^12+E(60)^14, 1+E(60)^2-E(60)^6-E(60)^8-E(60)^10, -1-E(60)^2+E(60)^6+E(60)^8+E(60)^10, E(60)^2-E(60)^8-E(60)^12, -1*E(60)^2+E(60)^8+E(60)^12, 1+E(60)^2-E(60)^4-E(60)^8-E(60)^10+E(60)^14, -1-E(60)^2+E(60)^4+E(60)^8+E(60)^10-E(60)^14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(60)+E(60)^3-E(60)^7-E(60)^9-E(60)^11-E(60)^13+E(60)^15, -1*E(60)-E(60)^3+E(60)^7+E(60)^9+E(60)^11+E(60)^13-E(60)^15, 2*E(60)-E(60)^5-E(60)^7-E(60)^9+E(60)^13+E(60)^15, -2*E(60)+E(60)^5+E(60)^7+E(60)^9-E(60)^13-E(60)^15, E(60)^3-E(60)^7-E(60)^13, -1*E(60)^3+E(60)^7+E(60)^13, E(60)-E(60)^5-E(60)^7+E(60)^11+E(60)^13+E(60)^15, -1*E(60)+E(60)^5+E(60)^7-E(60)^11-E(60)^13-E(60)^15, E(60)^7+E(60)^-7, E(60)^11+E(60)^-11, -1*E(60)^13-E(60)^-13, -1*E(60)-E(60)^-1, E(60)+E(60)^-1, E(60)^13+E(60)^-13, -1*E(60)^11-E(60)^-11, -1*E(60)^7-E(60)^-7, 1, 1, 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, 0, E(60)^15, -1*E(60)^15, -1*E(60)^15, E(60)^15]];
ConvertToLibraryCharacterTableNC(chartbl_453840_a);