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Table 1.
Some polynomials ρi, γi, given by Eqs. (79)–(80).
| ρ1 | = | −3, |
| ρ2 | = | 30ξ, |
| γ2 | = | −6ζ, |
| ρ3 | = |  , |
| γ3 | = | 75ξζ, |
| ρ4 | = | 105[1−10e2+7(3ξ2−ζ2)]ξ, |
| γ4 | = | −15[3−10e2+7(7ξ2−ζ2)]ζ, |
| ρ5 | = |  |
| +21(33ξ4−18ξ2ζ2+ζ4)}, | ||
| γ5 | = | 735(1−4e2+9ξ2−3ζ2)ξζ, |
| ρ6 | = |  |
| +33(143ξ4−110ξ2ζ2+15ζ4)}ξ, | ||
| γ6 | = |  |
| +33(33ξ4−18ξ2ζ2+ζ4)}ζ, | ||
| ρ7 | = |  |
| +9[11(3−32e2+224e4)ξ2−(15−96e2+224e4)ζ2] | ||
| +33[143(1−16e2)ξ4−66(3−16e2)ξ2ζ2+3(5−16e2)ζ4] | ||
| +429(143ξ6−143ξ4ζ2+33ξ2ζ4−ζ6)}, | ||
| γ7 | = |  |
| +110[11(3−16e2)ξ2−3(5−16e2)ζ2] | ||
| +143(143ξ4−110ξ2ζ2+15ζ4)}ξζ, | ||
| ρ8 | = |  |
| +77[13(1−12e2+96e4)ξ2−3(5−36e2+96e4)ζ2] | ||
| +1001[13(1−18e2)ξ4−26(1−6e2)ξ2ζ2+(5−18e2)ζ4] | ||
| +715(221ξ6−273ξ4ζ2+91ξ2ζ4−7ζ6)}ξ, | ||
| γ8 | = |  |
| +11[33(5−36e2+96e4)ξ2−(35−180e2+288e4)ζ2] | ||
| +143[143(1−6e2)ξ4−22(5−18e2)ξ2ζ2+(7−18e2)ζ4] | ||
| +715(143ξ6−143ξ4ζ2+33ξ2ζ4−ζ6)}ζ. |
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