R = QQ[A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, a, a1, a10, a100, a11, a12, a13, a14, a15, a16, a17, a18, a19, a2, a20, a21, a22, a23, a24, a25, a26, a27, a28, a29, a3, a30, a31, a32, a33, a34, a35, a36, a37, a38, a39, a4, a40, a41, a42, a43, a44, a45, a46, a47, a48, a49, a5, a50, a51, a52, a53, a54, a55, a56, a57, a58, a59, a6, a60, a61, a62, a63, a64, a65, a66, a67, a68, a69, a7, a70, a71, a72, a73, a74, a75, a76, a77, a78, a79, a8, a80, a81, a82, a83, a84, a85, a86, a87, a88, a89, a9, a90, a91, a92, a93, a94, a95, a96, a97, a98, a99, aa00bob, b, b1, b10, b100, b11, b12, b13, b14, b15, b16, b17, b18, b19, b2, b20, b21, b22, b23, b24, b25, b26, b27, b28, b29, b3, b30, b31, b32, b33, b34, b35, b36, b37, b38, b39, b4, b40, b41, b42, b43, b44, b45, b46, b47, b48, b49, b5, b50, b51, b52, b53, b54, b55, b56, b57, b58, b59, b6, b60, b61, b62, b63, b64, b65, b66, b67, b68, b69, b7, b70, b71, b72, b73, b74, b75, b76, b77, b78, b79, b8, b80, b81, b82, b83, b84, b85, b86, b87, b88, b89, b9, b90, b91, b92, b93, b94, b95, b96, b97, b98, b99, c, c1, c10, c100, c11, c12, c13, c14, c15, c16, c17, c18, c19, c2, c20, c21, c22, c23, c24, c25, c26, c27, c28, c29, c3, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c4, c40, c41, c42, c43, c44, c45, c46, c47, c48, c49, c5, c50, c51, c52, c53, c54, c55, c56, c57, c58, c59, c6, c60, c61, c62, c63, c64, c65, c66, c67, c68, c69, c7, c70, c71, c72, c73, c74, c75, c76, c77, c78, c79, c8, c80, c81, c82, c83, c84, c85, c86, c87, c88, c89, c9, c90, c91, c92, c93, c94, c95, c96, c97, c98, c99, d, d1, d10, d100, d11, d12, d13, d14, d15, d16, d17, d18, d19, d2, d20, d21, d22, d23, d24, d25, d26, d27, d28, d29, d3, d30, d31, d32, d33, d34, d35, d36, d37, d38, d39, d4, d40, d41, d42, d43, d44, d45, d46, d47, d48, d49, d5, d50, d51, d52, d53, d54, d55, d56, d57, d58, d59, d6, d60, d61, d62, d63, d64, d65, d66, d67, d68, d69, d7, d70, d71, d72, d73, d74, d75, d76, d77, d78, d79, d8, d80, d81, d82, d83, d84, d85, d86, d87, d88, d89, d9, d90, d91, d92, d93, d94, d95, d96, d97, d98, d99, e, e1, e10, e100, e11, e12, e13, e14, e15, e16, e17, e18, e19, e2, e20, e21, e22, e23, e24, e25, e26, e27, e28, e29, e3, e30, e31, e32, e33, e34, e35, e36, e37, e38, e39, e4, e40, e41, e42, e43, e44, e45, e46, e47, e48, e49, e5, e50, e51, e52, e53, e54, e55, e56, e57, e58, e59, e6, e60, e61, e62, e63, e64, e65, e66, e67, e68, e69, e7, e70, e71, e72, e73, e74, e75, e76, e77, e78, e79, e8, e80, e81, e82, e83, e84, e85, e86, e87, e88, e89, e9, e90, e91, e92, e93, e94, e95, e96, e97, e98, e99, f, f1, f10, f100, f11, f12, f13, f14, f15, f16, f17, f18, f19, f2, f20, f21, f22, f23, f24, f25, f26, f27, f28, f29, f3, f30, f31, f32, f33, f34, f35, f36, f37, f38, f39, f4, f40, f41, f42, f43, f44, f45, f46, f47, f48, f49, f5, f50, f51, f52, f53, f54, f55, f56, f57, f58, f59, f6, f60, f61, f62, f63, f64, f65, f66, f67, f68, f69, f7, f70, f71, f72, f73, f74, f75, f76, f77, f78, f79, f8, f80, f81, f82, f83, f84, f85, f86, f87, f88, f89, f9, f90, f91, f92, f93, f94, f95, f96, f97, f98, f99, g, g1, g10, g100, g11, g12, g13, g14, g15, g16, g17, g18, g19, g2, g20, g21, g22, g23, g24, g25, g26, g27, g28, g29, g3, g30, g31, g32, g33, g34, g35, g36, g37, g38, g39, g4, g40, g41, g42, g43, g44, g45, g46, g47, g48, g49, g5, g50, g51, g52, g53, g54, g55, g56, g57, g58, g59, g6, g60, g61, g62, g63, g64, g65, g66, g67, g68, g69, g7, g70, g71, g72, g73, g74, g75, g76, g77, g78, g79, g8, g80, g81, g82, g83, g84, g85, g86, g87, g88, g89, g9, g90, g91, g92, g93, g94, g95, g96, g97, g98, g99, h, h1, h10, h100, h11, h12, h13, h14, h15, h16, h17, h18, h19, h2, h20, h21, h22, h23, h24, h25, h26, h27, h28, h29, h3, h30, h31, h32, h33, h34, h35, h36, h37, h38, h39, h4, h40, h41, h42, h43, h44, h45, h46, h47, h48, h49, h5, h50, h51, h52, h53, h54, h55, h56, h57, h58, h59, h6, h60, h61, h62, h63, h64, h65, h66, h67, h68, h69, h7, h70, h71, h72, h73, h74, h75, h76, h77, h78, h79, h8, h80, h81, h82, h83, h84, h85, h86, h87, h88, h89, h9, h90, h91, h92, h93, h94, h95, h96, h97, h98, h99, i, i1, i10, i100, i11, i12, i13, i14, i15, i16, i17, i18, i19, i2, i20, i21, i22, i23, i24, i25, i26, i27, i28, i29, i3, i30, i31, i32, i33, i34, i35, i36, i37, i38, i39, i4, i40, i41, i42, i43, i44, i45, i46, i47, i48, i49, i5, i50, i51, i52, i53, i54, i55, i56, i57, i58, i59, i6, i60, i61, i62, i63, i64, i65, i66, i67, i68, i69, i7, i70, i71, i72, i73, i74, i75, i76, i77, i78, i79, i8, i80, i81, i82, i83, i84, i85, i86, i87, i88, i89, i9, i90, i91, i92, i93, i94, i95, i96, i97, i98, i99, j, j1, j10, j100, j11, j12, j13, j14, j15, j16, j17, j18, j19, j2, j20, j21, j22, j23, j24, j25, j26, j27, j28, j29, j3, j30, j31, j32, j33, j34, j35, j36, j37, j38, j39, j4, j40, j41, j42, j43, j44, j45, j46, j47, j48, j49, j5, j50, j51, j52, j53, j54, j55, j56, j57, j58, j59, j6, j60, j61, j62, j63, j64, j65, j66, j67, j68, j69, j7, j70, j71, j72, j73, j74, j75, j76, j77, j78, j79, j8, j80, j81, j82, j83, j84, j85, j86, j87, j88, j89, j9, j90, j91, j92, j93, j94, j95, j96, j97, j98, j99, k, k1, k10, k100, k11, k12, k13, k14, k15, k16, k17, k18, k19, k2, k20, k21, k22, k23, k24, k25, k26, k27, k28, k29, k3, k30, k31, k32, k33, k34, k35, k36, k37, k38, k39, k4, k40, k41, k42, k43, k44, k45, k46, k47, k48, k49, k5, k50, k51, k52, k53, k54, k55, k56, k57, k58, k59, k6, k60, k61, k62, k63, k64, k65, k66, k67, k68, k69, k7, k70, k71, k72, k73, k74, k75, k76, k77, k78, k79, k8, k80, k81, k82, k83, k84, k85, k86, k87, k88, k89, k9, k90, k91, k92, k93, k94, k95, k96, k97, k98, k99, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z];
I = monomialIdeal(
 A^128*B^65537*C^65535*D^255*E^17*F^256*G^257*H^511*I^64*J^512*K^513*L^1023*M^4294967296*N^4294967295*O^65*P^127*Q^15*R^31*S^129*T^32*U^63*V^65536*W^16*X^1025*Y^33*Z^1024*a^10*a1^4294967297*a10^1001*a100*a11^9999*a12^10000*a13^10001*a14^99999*a15^100000*a16^100001*a17^999999*a18^1000000*a19^1000001*a2^18446744073709551615*a20^9999999*a21^10000000*a22^10000001*a23^99999999*a24^100000000*a25^100000001*a26^999999999*a27^1000000000*a28^1000000001*a29^9999999999*a3^18446744073709551616*a30^10000000000*a31^10000000001*a32^99999999999*a33^100000000000*a34^100000000001*a35^999999999999*a36^1000000000000*a37^1000000000001*a38^9999999999999*a39^10000000000000*a4^18446744073709551617*a40^10000000000001*a41^99999999999999*a42^100000000000000*a43^100000000000001*a44^999999999999999*a45^1000000000000000*a46^1000000000000001*a47^9999999999999999*a48^10000000000000000*a49^10000000000000001*a5^99*a50^9999999999999999*a51^10000000000000000*a52^10000000000000001*a53^9999999999999998*a54*a55*a56*a57*a58*a59*a6^100*a60*a61*a62*a63*a64*a65*a66*a67*a68*a69*a7^101*a70*a71*a72*a73*a74*a75*a76*a77*a78*a79*a8^999*a80*a81*a82*a83*a84*a85*a86*a87*a88*a89*a9^1000*a90*a91*a92*a93*a94*a95*a96*a97*a98*a99*aa00bob*b^23*b1*b10*b100*b11*b12*b13*b14*b15*b16*b17*b18*b19*b2*b20*b21*b22*b23*b24*b25*b26*b27*b28*b29*b3*b30*b31*b32*b33*b34*b35*b36*b37*b38*b39*b4*b40*b41*b42*b43*b44*b45*b46*b47*b48*b49*b5*b50*b51*b52*b53*b54*b55*b56*b57*b58*b59*b6*b60*b61*b62*b63*b64*b65*b66*b67*b68*b69*b7*b70*b71*b72*b73*b74*b75*b76*b77*b78*b79*b8*b80*b81*b82*b83*b84*b85*b86*b87*b88*b89*b9*b90*b91*b92*b93*b94*b95*b96*b97*b98*b99*c^21*c1*c10*c100*c11*c12*c13*c14*c15*c16*c17*c18*c19*c2*c20*c21*c22*c23*c24*c25*c26*c27*c28*c29*c3*c30*c31*c32*c33*c34*c35*c36*c37*c38*c39*c4*c40*c41*c42*c43*c44*c45*c46*c47*c48*c49*c5*c50*c51*c52*c53*c54*c55*c56*c57*c58*c59*c6*c60*c61*c62*c63*c64*c65*c66*c67*c68*c69*c7*c70*c71*c72*c73*c74*c75*c76*c77*c78*c79*c8*c80*c81*c82*c83*c84*c85*c86*c87*c88*c89*c9*c90*c91*c92*c93*c94*c95*c96*c97*c98*c99*d^12*d1*d10*d100*d11*d12*d13*d14*d15*d16*d17*d18*d19*d2*d20*d21*d22*d23*d24*d25*d26*d27*d28*d29*d3*d30*d31*d32*d33*d34*d35*d36*d37*d38*d39*d4*d40*d41*d42*d43*d44*d45*d46*d47*d48*d49*d5*d50*d51*d52*d53*d54*d55*d56*d57*d58*d59*d6*d60*d61*d62*d63*d64*d65*d66*d67*d68*d69*d7*d70*d71*d72*d73*d74*d75*d76*d77*d78*d79*d8*d80*d81*d82*d83*d84*d85*d86*d87*d88*d89*d9*d90*d91*d92*d93*d94*d95*d96*d97*d98*d99*e^2*e1*e10*e100*e11*e12*e13*e14*e15*e16*e17*e18*e19*e2*e20*e21*e22*e23*e24*e25*e26*e27*e28*e29*e3*e30*e31*e32*e33*e34*e35*e36*e37*e38*e39*e4*e40*e41*e42*e43*e44*e45*e46*e47*e48*e49*e5*e50*e51*e52*e53*e54*e55*e56*e57*e58*e59*e6*e60*e61*e62*e63*e64*e65*e66*e67*e68*e69*e7*e70*e71*e72*e73*e74*e75*e76*e77*e78*e79*e8*e80*e81*e82*e83*e84*e85*e86*e87*e88*e89*e9*e90*e91*e92*e93*e94*e95*e96*e97*e98*e99*f^13*f1^103*f10*f100*f11*f12*f13*f14*f15*f16*f17*f18*f19*f2^104*f20*f21*f22*f23*f24*f25*f26*f27*f28*f29*f3^105*f30*f31*f32*f33*f34*f35*f36*f37*f38*f39*f4*f40*f41*f42*f43*f44*f45*f46*f47*f48*f49*f5*f50*f51*f52*f53*f54*f55*f56*f57*f58*f59*f6*f60*f61*f62*f63*f64*f65*f66*f67*f68*f69*f7*f70*f71*f72*f73*f74*f75*f76*f77*f78*f79*f8*f80*f81*f82*f83*f84*f85*f86*f87*f88*f89*f9*f90*f91*f92*f93*f94*f95*f96*f97*f98*f99*g^14*g1*g10*g100*g11*g12*g13*g14*g15*g16*g17*g18*g19*g2*g20*g21*g22*g23*g24*g25*g26*g27*g28*g29*g3*g30*g31*g32*g33*g34*g35*g36*g37*g38*g39*g4*g40*g41*g42*g43*g44*g45*g46*g47*g48*g49*g5*g50*g51*g52*g53*g54*g55*g56*g57*g58*g59*g6*g60*g61*g62*g63*g64*g65*g66*g67*g68*g69*g7*g70*g71*g72*g73*g74*g75*g76*g77*g78*g79*g8*g80*g81*g82*g83*g84*g85*g86*g87*g88*g89*g9*g90*g91*g92*g93*g94*g95*g96*g97*g98*g99*h^15*h1*h10*h100*h11*h12*h13*h14*h15*h16*h17*h18*h19*h2*h20*h21*h22*h23*h24*h25*h26*h27*h28*h29*h3*h30*h31*h32*h33*h34*h35*h36*h37*h38*h39*h4*h40*h41*h42*h43*h44*h45*h46*h47*h48*h49*h5*h50*h51*h52*h53*h54*h55*h56*h57*h58*h59*h6*h60*h61*h62*h63*h64*h65*h66*h67*h68*h69*h7*h70*h71*h72*h73*h74*h75*h76*h77*h78*h79*h8*h80*h81*h82*h83*h84*h85*h86*h87*h88*h89*h9*h90*h91*h92*h93*h94*h95*h96*h97*h98*h99*i^7*i1*i10*i100*i11*i12*i13*i14*i15*i16*i17*i18*i19*i2*i20*i21*i22*i23*i24*i25*i26*i27*i28*i29*i3*i30*i31*i32*i33*i34*i35*i36*i37*i38*i39*i4*i40*i41*i42*i43*i44*i45*i46*i47*i48*i49*i5*i50*i51*i52*i53*i54*i55*i56*i57*i58*i59*i6*i60*i61*i62*i63*i64*i65*i66*i67*i68*i69*i7*i70*i71*i72*i73*i74*i75*i76*i77*i78*i79*i8*i80*i81*i82*i83*i84*i85*i86*i87*i88*i89*i9*i90*i91*i92*i93*i94*i95*i96*i97*i98*i99*j^16*j1*j10*j100*j11*j12*j13*j14*j15*j16*j17*j18*j19*j2*j20*j21*j22*j23*j24*j25*j26*j27*j28*j29*j3*j30*j31*j32*j33*j34*j35*j36*j37*j38*j39*j4*j40*j41*j42*j43*j44*j45*j46*j47*j48*j49*j5*j50*j51*j52*j53*j54*j55*j56*j57*j58*j59*j6*j60*j61*j62*j63*j64*j65*j66*j67*j68*j69*j7*j70*j71*j72*j73*j74*j75*j76*j77*j78*j79*j8*j80*j81*j82*j83*j84*j85*j86*j87*j88*j89*j9*j90*j91*j92*j93*j94*j95*j96*j97*j98*j99*k^17*k1*k10*k100^12345678901234567890*k11*k12*k13*k14*k15*k16*k17*k18*k19*k2*k20*k21*k22*k23*k24*k25*k26*k27*k28*k29*k3*k30*k31*k32*k33*k34*k35*k36*k37*k38*k39*k4*k40*k41*k42*k43*k44*k45*k46*k47*k48*k49*k5*k50*k51*k52*k53*k54*k55*k56*k57*k58*k59*k6*k60*k61*k62*k63*k64*k65*k66*k67*k68*k69*k7*k70*k71*k72*k73*k74*k75*k76*k77*k78*k79*k8*k80*k81*k82*k83*k84*k85*k86*k87*k88*k89*k9*k90*k91*k92*k93*k94*k95*k96*k97^3*k98^4*k99^5*l^18*m^25*n^24*o^8*p^9*q*r^3*s^11*t^4*u^6*v^22*w*x^20*y^5*z^19
);