Sharedwww / Tables / dimskg0new.gpOpen in CoCalc
\\ dimskg0new.gp
\\ This is a table of dimensions of the spaces
\\             S_k^{new}(Gamma_0(N)) 
\\ of weight k cuspidal newforms for Gamma_0(N).
\\ William Stein ([email protected]), September, 1998.

{\\ d[N,k]=dim(S_{2k}^{new}(Gamma_0(N))), 2k>=2
d=matrix(100,50,m,n,0);

d[1,]=[0,0,0,0,0,1,0,1,1,1,1,2,1,2,2,2,2,3,2,3,3,3,3,4,3,4,4,4,4,5,4,5,5,5,5,6,5,6,6,6,6,7,6,7,7,7,7,8,7,8];
d[2,]=[0,0,0,1,1,0,2,1,1,2,2,1,3,2,2,3,3,2,4,3,3,4,4,3,5,4,4,5,5,4,6,5,5,6,6,5,7,6,6,7,7,6,8,7,7,8,8,7,9,8];
d[3,]=[0,0,1,1,2,1,3,2,3,3,4,3,5,4,5,5,6,5,7,6,7,7,8,7,9,8,9,9,10,9,11,10,11,11,12,11,13,12,13,13,14,13,15,14,15,15,16,15,17,16];
d[4,]=[0,0,1,0,1,1,1,1,2,1,2,2,2,2,3,2,3,3,3,3,4,3,4,4,4,4,5,4,5,5,5,5,6,5,6,6,6,6,7,6,7,7,7,7,8,7,8,8,8,8];
d[5,]=[0,1,1,3,3,3,5,5,5,7,7,7,9,9,9,11,11,11,13,13,13,15,15,15,17,17,17,19,19,19,21,21,21,23,23,23,25,25,25,27,27,27,29,29,29,31,31,31,33,33];
d[6,]=[0,1,1,1,1,3,1,3,3,3,3,5,3,5,5,5,5,7,5,7,7,7,7,9,7,9,9,9,9,11,9,11,11,11,11,13,11,13,13,13,13,15,13,15,15,15,15,17,15,17];
d[7,]=[0,1,3,3,5,5,7,7,9,9,11,11,13,13,15,15,17,17,19,19,21,21,23,23,25,25,27,27,29,29,31,31,33,33,35,35,37,37,39,39,41,41,43,43,45,45,47,47,49,49];
d[8,]=[0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,19,19,20,20,21,21,22,22,23,23,24,24,25];
d[9,]=[0,1,1,3,3,4,5,6,6,8,8,9,10,11,11,13,13,14,15,16,16,18,18,19,20,21,21,23,23,24,25,26,26,28,28,29,30,31,31,33,33,34,35,36,36,38,38,39,40,41];
d[10,]=[0,1,3,1,3,5,3,5,7,5,7,9,7,9,11,9,11,13,11,13,15,13,15,17,15,17,19,17,19,21,19,21,23,21,23,25,23,25,27,25,27,29,27,29,31,29,31,33,31,33];
d[11,]=[1,2,4,6,8,8,12,12,14,16,18,18,22,22,24,26,28,28,32,32,34,36,38,38,42,42,44,46,48,48,52,52,54,56,58,58,62,62,64,66,68,68,72,72,74,76,78,78,82,82];
d[12,]=[0,1,0,2,1,2,2,3,2,4,3,4,4,5,4,6,5,6,6,7,6,8,7,8,8,9,8,10,9,10,10,11,10,12,11,12,12,13,12,14,13,14,14,15,14,16,15,16,16,17];
d[13,]=[0,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,73,75,77,79,81,83,85,87,89,91,93,95,97,99];
d[14,]=[1,2,2,4,4,6,6,8,8,10,10,12,12,14,14,16,16,18,18,20,20,22,22,24,24,26,26,28,28,30,30,32,32,34,34,36,36,38,38,40,40,42,42,44,44,46,46,48,48,50];
d[15,]=[1,2,4,4,6,8,8,10,12,12,14,16,16,18,20,20,22,24,24,26,28,28,30,32,32,34,36,36,38,40,40,42,44,44,46,48,48,50,52,52,54,56,56,58,60,60,62,64,64,66];
d[16,]=[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49];
d[17,]=[1,4,6,10,12,14,18,20,22,26,28,30,34,36,38,42,44,46,50,52,54,58,60,62,66,68,70,74,76,78,82,84,86,90,92,94,98,100,102,106,108,110,114,116,118,122,124,126,130,132];
d[18,]=[0,1,3,2,4,5,5,6,8,7,9,10,10,11,13,12,14,15,15,16,18,17,19,20,20,21,23,22,24,25,25,26,28,27,29,30,30,31,33,32,34,35,35,36,38,37,39,40,40,41];
d[19,]=[1,4,8,10,14,16,20,22,26,28,32,34,38,40,44,46,50,52,56,58,62,64,68,70,74,76,80,82,86,88,92,94,98,100,104,106,110,112,116,118,122,124,128,130,134,136,140,142,146,148];
d[20,]=[1,1,1,3,3,3,5,5,5,7,7,7,9,9,9,11,11,11,13,13,13,15,15,15,17,17,17,19,19,19,21,21,21,23,23,23,25,25,25,27,27,27,29,29,29,31,31,31,33,33];
d[21,]=[1,4,4,8,8,12,12,16,16,20,20,24,24,28,28,32,32,36,36,40,40,44,44,48,48,52,52,56,56,60,60,64,64,68,68,72,72,76,76,80,80,84,84,88,88,92,92,96,96,100];
d[22,]=[0,3,5,5,7,11,9,13,15,15,17,21,19,23,25,25,27,31,29,33,35,35,37,41,39,43,45,45,47,51,49,53,55,55,57,61,59,63,65,65,67,71,69,73,75,75,77,81,79,83];
d[23,]=[2,5,9,13,17,19,25,27,31,35,39,41,47,49,53,57,61,63,69,71,75,79,83,85,91,93,97,101,105,107,113,115,119,123,127,129,135,137,141,145,149,151,157,159,163,167,171,173,179,181];
d[24,]=[1,1,3,3,5,5,7,7,9,9,11,11,13,13,15,15,17,17,19,19,21,21,23,23,25,25,27,27,29,29,31,31,33,33,35,35,37,37,39,39,41,41,43,43,45,45,47,47,49,49];
d[25,]=[0,3,7,9,13,16,19,22,26,28,32,35,38,41,45,47,51,54,57,60,64,66,70,73,76,79,83,85,89,92,95,98,102,104,108,111,114,117,121,123,127,130,133,136,140,142,146,149,152,155];
d[26,]=[2,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,73,75,77,79,81,83,85,87,89,91,93,95,97,99];
d[27,]=[1,4,7,9,12,15,17,20,23,25,28,31,33,36,39,41,44,47,49,52,55,57,60,63,65,68,71,73,76,79,81,84,87,89,92,95,97,100,103,105,108,111,113,116,119,121,124,127,129,132];
d[28,]=[0,2,2,4,4,6,6,8,8,10,10,12,12,14,14,16,16,18,18,20,20,22,22,24,24,26,26,28,28,30,30,32,32,34,34,36,36,38,38,40,40,42,42,44,44,46,46,48,48,50];
d[29,]=[2,7,11,17,21,25,31,35,39,45,49,53,59,63,67,73,77,81,87,91,95,101,105,109,115,119,123,129,133,137,143,147,151,157,161,165,171,175,179,185,189,193,199,203,207,213,217,221,227,231];
d[30,]=[1,2,2,6,6,6,10,10,10,14,14,14,18,18,18,22,22,22,26,26,26,30,30,30,34,34,34,38,38,38,42,42,42,46,46,46,50,50,50,54,54,54,58,58,58,62,62,62,66,66];
d[31,]=[2,7,13,17,23,27,33,37,43,47,53,57,63,67,73,77,83,87,93,97,103,107,113,117,123,127,133,137,143,147,153,157,163,167,173,177,183,187,193,197,203,207,213,217,223,227,233,237,243,247];
d[32,]=[1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,73,75,77,79,81,83,85,87,89,91,93,95,97,99];
d[33,]=[1,6,8,12,14,20,20,26,28,32,34,40,40,46,48,52,54,60,60,66,68,72,74,80,80,86,88,92,94,100,100,106,108,112,114,120,120,126,128,132,134,140,140,146,148,152,154,160,160,166];
d[34,]=[1,4,8,8,12,16,16,20,24,24,28,32,32,36,40,40,44,48,48,52,56,56,60,64,64,68,72,72,76,80,80,84,88,88,92,96,96,100,104,104,108,112,112,116,120,120,124,128,128,132];
d[35,]=[3,6,10,14,18,22,26,30,34,38,42,46,50,54,58,62,66,70,74,78,82,86,90,94,98,102,106,110,114,118,122,126,130,134,138,142,146,150,154,158,162,166,170,174,178,182,186,190,194,198];
d[36,]=[1,1,2,3,4,4,6,6,7,8,9,9,11,11,12,13,14,14,16,16,17,18,19,19,21,21,22,23,24,24,26,26,27,28,29,29,31,31,32,33,34,34,36,36,37,38,39,39,41,41];
d[37,]=[2,9,15,21,27,33,39,45,51,57,63,69,75,81,87,93,99,105,111,117,123,129,135,141,147,153,159,165,171,177,183,189,195,201,207,213,219,225,231,237,243,249,255,261,267,273,279,285,291,297];
d[38,]=[2,5,7,11,13,17,19,23,25,29,31,35,37,41,43,47,49,53,55,59,61,65,67,71,73,77,79,83,85,89,91,95,97,101,103,107,109,113,115,119,121,125,127,131,133,137,139,143,145,149];
d[39,]=[3,6,10,14,18,22,26,30,34,38,42,46,50,54,58,62,66,70,74,78,82,86,90,94,98,102,106,110,114,118,122,126,130,134,138,142,146,150,154,158,162,166,170,174,178,182,186,190,194,198];
d[40,]=[1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,73,75,77,79,81,83,85,87,89,91,93,95,97,99];
d[41,]=[3,10,16,24,30,36,44,50,56,64,70,76,84,90,96,104,110,116,124,130,136,144,150,156,164,170,176,184,190,196,204,210,216,224,230,236,244,250,256,264,270,276,284,290,296,304,310,316,324,330];
d[42,]=[1,2,6,6,10,10,14,14,18,18,22,22,26,26,30,30,34,34,38,38,42,42,46,46,50,50,54,54,58,58,62,62,66,66,70,70,74,74,78,78,82,82,86,86,90,90,94,94,98,98];
d[43,]=[3,10,18,24,32,38,46,52,60,66,74,80,88,94,102,108,116,122,130,136,144,150,158,164,172,178,186,192,200,206,214,220,228,234,242,248,256,262,270,276,284,290,298,304,312,318,326,332,340,346];
d[44,]=[1,3,3,7,7,9,11,13,13,17,17,19,21,23,23,27,27,29,31,33,33,37,37,39,41,43,43,47,47,49,51,53,53,57,57,59,61,63,63,67,67,69,71,73,73,77,77,79,81,83];
d[45,]=[1,5,9,11,15,19,21,25,29,31,35,39,41,45,49,51,55,59,61,65,69,71,75,79,81,85,89,91,95,99,101,105,109,111,115,119,121,125,129,131,135,139,141,145,149,151,155,159,161,165];
d[46,]=[1,6,10,12,16,22,22,28,32,34,38,44,44,50,54,56,60,66,66,72,76,78,82,88,88,94,98,100,104,110,110,116,120,122,126,132,132,138,142,144,148,154,154,160,164,166,170,176,176,182];
d[47,]=[4,11,19,27,35,41,51,57,65,73,81,87,97,103,111,119,127,133,143,149,157,165,173,179,189,195,203,211,219,225,235,241,249,257,265,271,281,287,295,303,311,317,327,333,341,349,357,363,373,379];
d[48,]=[1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,73,75,77,79,81,83,85,87,89,91,93,95,97,99];
d[49,]=[1,8,14,22,28,35,42,49,55,63,69,76,83,90,96,104,110,117,124,131,137,145,151,158,165,172,178,186,192,199,206,213,219,227,233,240,247,254,260,268,274,281,288,295,301,309,315,322,329,336];
d[50,]=[2,5,7,12,14,17,21,24,26,31,33,36,40,43,45,50,52,55,59,62,64,69,71,74,78,81,83,88,90,93,97,100,102,107,109,112,116,119,121,126,128,131,135,138,140,145,147,150,154,157];
d[51,]=[3,8,14,18,24,30,34,40,46,50,56,62,66,72,78,82,88,94,98,104,110,114,120,126,130,136,142,146,152,158,162,168,174,178,184,190,194,200,206,210,216,222,226,232,238,242,248,254,258,264];
d[52,]=[1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,73,75,77,79,81,83,85,87,89,91,93,95,97,99];
d[53,]=[4,13,21,31,39,47,57,65,73,83,91,99,109,117,125,135,143,151,161,169,177,187,195,203,213,221,229,239,247,255,265,273,281,291,299,307,317,325,333,343,351,359,369,377,385,395,403,411,421,429];
d[54,]=[2,4,6,10,12,14,18,20,22,26,28,30,34,36,38,42,44,46,50,52,54,58,60,62,66,68,70,74,76,78,82,84,86,90,92,94,98,100,102,106,108,110,114,116,118,122,124,126,130,132];
d[55,]=[3,10,18,22,30,38,42,50,58,62,70,78,82,90,98,102,110,118,122,130,138,142,150,158,162,170,178,182,190,198,202,210,218,222,230,238,242,250,258,262,270,278,282,290,298,302,310,318,322,330];
d[56,]=[2,4,8,10,14,16,20,22,26,28,32,34,38,40,44,46,50,52,56,58,62,64,68,70,74,76,80,82,86,88,92,94,98,100,104,106,110,112,116,118,122,124,128,130,134,136,140,142,146,148];
d[57,]=[3,10,14,22,26,34,38,46,50,58,62,70,74,82,86,94,98,106,110,118,122,130,134,142,146,154,158,166,170,178,182,190,194,202,206,214,218,226,230,238,242,250,254,262,266,274,278,286,290,298];
d[58,]=[2,7,13,15,21,27,29,35,41,43,49,55,57,63,69,71,77,83,85,91,97,99,105,111,113,119,125,127,133,139,141,147,153,155,161,167,169,175,181,183,189,195,197,203,209,211,217,223,225,231];
d[59,]=[5,14,24,34,44,52,64,72,82,92,102,110,122,130,140,150,160,168,180,188,198,208,218,226,238,246,256,266,276,284,296,304,314,324,334,342,354,362,372,382,392,400,412,420,430,440,450,458,470,478];
d[60,]=[0,2,4,4,6,8,8,10,12,12,14,16,16,18,20,20,22,24,24,26,28,28,30,32,32,34,36,36,38,40,40,42,44,44,46,48,48,50,52,52,54,56,56,58,60,60,62,64,64,66];
d[61,]=[4,15,25,35,45,55,65,75,85,95,105,115,125,135,145,155,165,175,185,195,205,215,225,235,245,255,265,275,285,295,305,315,325,335,345,355,365,375,385,395,405,415,425,435,445,455,465,475,485,495];
d[62,]=[3,8,12,18,22,28,32,38,42,48,52,58,62,68,72,78,82,88,92,98,102,108,112,118,122,128,132,138,142,148,152,158,162,168,172,178,182,188,192,198,202,208,212,218,222,228,232,238,242,248];
d[63,]=[3,7,13,17,23,27,33,37,43,47,53,57,63,67,73,77,83,87,93,97,103,107,113,117,123,127,133,137,143,147,153,157,163,167,173,177,183,187,193,197,203,207,213,217,223,227,233,237,243,247];
d[64,]=[1,5,9,13,17,21,25,29,33,37,41,45,49,53,57,61,65,69,73,77,81,85,89,93,97,101,105,109,113,117,121,125,129,133,137,141,145,149,153,157,161,165,169,173,177,181,185,189,193,197];
d[65,]=[5,12,20,28,36,44,52,60,68,76,84,92,100,108,116,124,132,140,148,156,164,172,180,188,196,204,212,220,228,236,244,252,260,268,276,284,292,300,308,316,324,332,340,348,356,364,372,380,388,396];
d[66,]=[3,4,8,12,16,16,24,24,28,32,36,36,44,44,48,52,56,56,64,64,68,72,76,76,84,84,88,92,96,96,104,104,108,112,116,116,124,124,128,132,136,136,144,144,148,152,156,156,164,164];
d[67,]=[5,16,28,38,50,60,72,82,94,104,116,126,138,148,160,170,182,192,204,214,226,236,248,258,270,280,292,302,314,324,336,346,358,368,380,390,402,412,424,434,446,456,468,478,490,500,512,522,534,544];
d[68,]=[2,4,6,10,12,14,18,20,22,26,28,30,34,36,38,42,44,46,50,52,54,58,60,62,66,68,70,74,76,78,82,84,86,90,92,94,98,100,102,106,108,110,114,116,118,122,124,126,130,132];
d[69,]=[3,12,18,26,32,42,46,56,62,70,76,86,90,100,106,114,120,130,134,144,150,158,164,174,178,188,194,202,208,218,222,232,238,246,252,262,266,276,282,290,296,306,310,320,326,334,340,350,354,364];
d[70,]=[1,6,10,14,18,22,26,30,34,38,42,46,50,54,58,62,66,70,74,78,82,86,90,94,98,102,106,110,114,118,122,126,130,134,138,142,146,150,154,158,162,166,170,174,178,182,186,190,194,198];
d[71,]=[6,17,29,41,53,63,77,87,99,111,123,133,147,157,169,181,193,203,217,227,239,251,263,273,287,297,309,321,333,343,357,367,379,391,403,413,427,437,449,461,473,483,497,507,519,531,543,553,567,577];
d[72,]=[1,4,6,9,11,14,16,19,21,24,26,29,31,34,36,39,41,44,46,49,51,54,56,59,61,64,66,69,71,74,76,79,81,84,86,89,91,94,96,99,101,104,106,109,111,114,116,119,121,124];
d[73,]=[5,18,30,42,54,66,78,90,102,114,126,138,150,162,174,186,198,210,222,234,246,258,270,282,294,306,318,330,342,354,366,378,390,402,414,426,438,450,462,474,486,498,510,522,534,546,558,570,582,594];
d[74,]=[4,9,15,21,27,33,39,45,51,57,63,69,75,81,87,93,99,105,111,117,123,129,135,141,147,153,159,165,171,177,183,189,195,201,207,213,219,225,231,237,243,249,255,261,267,273,279,285,291,297];
d[75,]=[3,10,15,23,28,35,41,48,53,61,66,73,79,86,91,99,104,111,117,124,129,137,142,149,155,162,167,175,180,187,193,200,205,213,218,225,231,238,243,251,256,263,269,276,281,289,294,301,307,314];
d[76,]=[1,5,7,11,13,17,19,23,25,29,31,35,37,41,43,47,49,53,55,59,61,65,67,71,73,77,79,83,85,89,91,95,97,101,103,107,109,113,115,119,121,125,127,131,133,137,139,143,145,149];
d[77,]=[5,16,24,36,44,56,64,76,84,96,104,116,124,136,144,156,164,176,184,196,204,216,224,236,244,256,264,276,284,296,304,316,324,336,344,356,364,376,384,396,404,416,424,436,444,456,464,476,484,496];
d[78,]=[1,6,10,14,18,22,26,30,34,38,42,46,50,54,58,62,66,70,74,78,82,86,90,94,98,102,106,110,114,118,122,126,130,134,138,142,146,150,154,158,162,166,170,174,178,182,186,190,194,198];
d[79,]=[6,19,33,45,59,71,85,97,111,123,137,149,163,175,189,201,215,227,241,253,267,279,293,305,319,331,345,357,371,383,397,409,423,435,449,461,475,487,501,513,527,539,553,565,579,591,605,617,631,643];
d[80,]=[2,6,10,14,18,22,26,30,34,38,42,46,50,54,58,62,66,70,74,78,82,86,90,94,98,102,106,110,114,118,122,126,130,134,138,142,146,150,154,158,162,166,170,174,178,182,186,190,194,198];
d[81,]=[2,10,18,26,34,42,50,58,66,74,82,90,98,106,114,122,130,138,146,154,162,170,178,186,194,202,210,218,226,234,242,250,258,266,274,282,290,298,306,314,322,330,338,346,354,362,370,378,386,394];
d[82,]=[3,10,18,22,30,38,42,50,58,62,70,78,82,90,98,102,110,118,122,130,138,142,150,158,162,170,178,182,190,198,202,210,218,222,230,238,242,250,258,262,270,278,282,290,298,302,310,318,322,330];
d[83,]=[7,20,34,48,62,74,90,102,116,130,144,156,172,184,198,212,226,238,254,266,280,294,308,320,336,348,362,376,390,402,418,430,444,458,472,484,500,512,526,540,554,566,582,594,608,622,636,648,664,676];
d[84,]=[2,2,6,6,10,10,14,14,18,18,22,22,26,26,30,30,34,34,38,38,42,42,46,46,50,50,54,54,58,58,62,62,66,66,70,70,74,74,78,78,82,82,86,86,90,90,94,94,98,98];
d[85,]=[5,16,28,36,48,60,68,80,92,100,112,124,132,144,156,164,176,188,196,208,220,228,240,252,260,272,284,292,304,316,324,336,348,356,368,380,388,400,412,420,432,444,452,464,476,484,496,508,516,528];
d[86,]=[4,11,17,25,31,39,45,53,59,67,73,81,87,95,101,109,115,123,129,137,143,151,157,165,171,179,185,193,199,207,213,221,227,235,241,249,255,263,269,277,283,291,297,305,311,319,325,333,339,347];
d[87,]=[5,14,24,32,42,52,60,70,80,88,98,108,116,126,136,144,154,164,172,182,192,200,210,220,228,238,248,256,266,276,284,294,304,312,322,332,340,350,360,368,378,388,396,406,416,424,434,444,452,462];
d[88,]=[3,7,13,17,23,27,33,37,43,47,53,57,63,67,73,77,83,87,93,97,103,107,113,117,123,127,133,137,143,147,153,157,163,167,173,177,183,187,193,197,203,207,213,217,223,227,233,237,243,247];
d[89,]=[7,22,36,52,66,80,96,110,124,140,154,168,184,198,212,228,242,256,272,286,300,316,330,344,360,374,388,404,418,432,448,462,476,492,506,520,536,550,564,580,594,608,624,638,652,668,682,696,712,726];
d[90,]=[3,5,7,13,15,17,23,25,27,33,35,37,43,45,47,53,55,57,63,65,67,73,75,77,83,85,87,93,95,97,103,105,107,113,115,117,123,125,127,133,135,137,143,145,147,153,155,157,163,165];
d[91,]=[7,18,30,42,54,66,78,90,102,114,126,138,150,162,174,186,198,210,222,234,246,258,270,282,294,306,318,330,342,354,366,378,390,402,414,426,438,450,462,474,486,498,510,522,534,546,558,570,582,594];
d[92,]=[2,6,8,14,16,20,24,28,30,36,38,42,46,50,52,58,60,64,68,72,74,80,82,86,90,94,96,102,104,108,112,116,118,124,126,130,134,138,140,146,148,152,156,160,162,168,170,174,178,182];
d[93,]=[5,16,24,36,44,56,64,76,84,96,104,116,124,136,144,156,164,176,184,196,204,216,224,236,244,256,264,276,284,296,304,316,324,336,344,356,364,376,384,396,404,416,424,436,444,456,464,476,484,496];
d[94,]=[3,12,20,26,34,44,48,58,66,72,80,90,94,104,112,118,126,136,140,150,158,164,172,182,186,196,204,210,218,228,232,242,250,256,264,274,278,288,296,302,310,320,324,334,342,348,356,366,370,380];
d[95,]=[7,18,30,42,54,66,78,90,102,114,126,138,150,162,174,186,198,210,222,234,246,258,270,282,294,306,318,330,342,354,366,378,390,402,414,426,438,450,462,474,486,498,510,522,534,546,558,570,582,594];
d[96,]=[2,6,10,14,18,22,26,30,34,38,42,46,50,54,58,62,66,70,74,78,82,86,90,94,98,102,106,110,114,118,122,126,130,134,138,142,146,150,154,158,162,166,170,174,178,182,186,190,194,198];
d[97,]=[7,24,40,56,72,88,104,120,136,152,168,184,200,216,232,248,264,280,296,312,328,344,360,376,392,408,424,440,456,472,488,504,520,536,552,568,584,600,616,632,648,664,680,696,712,728,744,760,776,792];
d[98,]=[3,10,18,23,31,38,44,51,59,64,72,79,85,92,100,105,113,120,126,133,141,146,154,161,167,174,182,187,195,202,208,215,223,228,236,243,249,256,264,269,277,284,290,297,305,310,318,325,331,338];
d[99,]=[4,12,22,28,38,46,54,62,72,78,88,96,104,112,122,128,138,146,154,162,172,178,188,196,204,212,222,228,238,246,254,262,272,278,288,296,304,312,322,328,338,346,354,362,372,378,388,396,404,412];
d[100,]=[1,5,8,11,14,18,20,24,27,30,33,37,39,43,46,49,52,56,58,62,65,68,71,75,77,81,84,87,90,94,96,100,103,106,109,113,115,119,122,125,128,132,134,138,141,144,147,151,153,157];
}