P0 = 1

P1 = x
{tk} : {0.}
{ck} : {2.}

P2 = -1/2 + (3*x^2)/2
{tk} : {-0.577350269189626, 0.577350269189626}
{ck} : {1., 1.}

P3 = (-3*x)/2 + (5*x^3)/2
{tk} : {-0.774596669241483, 0., 0.774596669241483}
{ck} : {0.555555555555556, 0.888888888888889, 0.555555555555556}

P4 = 3/8 - (15*x^2)/4 + (35*x^4)/8
{tk} : {-0.861136311594053, -0.339981043584856, 0.339981043584856, 0.861136311594053}
{ck} : {0.347854845137454, 0.652145154862546, 0.652145154862546, 0.347854845137454}

P5 = (15*x)/8 - (35*x^3)/4 + (63*x^5)/8
{tk} : {-0.906179845938664, -0.538469310105683, -0., 0.538469310105683, 0.906179845938664}
{ck} : {0.236926885056189, 0.478628670499366, 0.568888888888889, 0.478628670499366, 0.236926885056189}

P6 = -5/16 + (105*x^2)/16 - (315*x^4)/16 + (231*x^6)/16
{tk} : {-0.932469514203152, -0.661209386466264, -0.238619186083197, 0.238619186083197, 0.661209386466264, 0.932469514203152}
{ck} : {0.171324492379170, 0.360761573048139, 0.467913934572691, 0.467913934572691, 0.360761573048139, 0.171324492379170}

P7 = (-35*x)/16 + (315*x^3)/16 - (693*x^5)/16 + (429*x^7)/16
{tk} : {-0.949107912342758, -0.741531185599394, -0.405845151377397, 0., 0.405845151377397, 0.741531185599394, 0.949107912342758}
{ck} : {0.129484966168870, 0.279705391489277, 0.381830050505119, 0.417959183673469, 0.381830050505119, 0.279705391489277, 0.129484966168870}

P8 = 35/128 - (315*x^2)/32 + (3465*x^4)/64 - (3003*x^6)/32 + (6435*x^8)/128
{tk} : {-0.960289856497536, -0.796666477413627, -0.525532409916329, -0.183434642495650, 0.183434642495650, 0.525532409916329, 0.796666477413627, 0.960289856497536}
{ck} : {0.101228536290376, 0.222381034453374, 0.313706645877887, 0.362683783378362, 0.362683783378362, 0.313706645877887, 0.222381034453374, 0.101228536290376}

P9 = (315*x)/128 - (1155*x^3)/32 + (9009*x^5)/64 - (6435*x^7)/32 + (12155*x^9)/128
{tk} : {-0.968160239507626, -0.836031107326636, -0.613371432700590, -0.324253423403809, 0., 0.324253423403809, 0.613371432700590, 0.836031107326636, 0.968160239507626}
{ck} : {0.081274388361574, 0.180648160694857, 0.260610696402935, 0.312347077040003, 0.330239355001260, 0.312347077040003, 0.260610696402935, 0.180648160694857, 0.081274388361574}

P10 = -63/256 + (3465*x^2)/256 - (15015*x^4)/128 + (45045*x^6)/128 - (109395*x^8)/256 + (46189*x^10)/256
{tk} : {-0.973906528517172, -0.865063366688985, -0.679409568299024, -0.433395394129247, -0.148874338981631, 0.148874338981631, 0.433395394129247, 0.679409568299024, 0.865063366688985, 0.973906528517172}
{ck} : {0.066671344308688, 0.149451349150581, 0.219086362515982, 0.269266719309996, 0.295524224714753, 0.295524224714753, 0.269266719309996, 0.219086362515982, 0.149451349150581, 0.066671344308688}