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96 is carréphylic - approach of √96=4√6 ~ 9.7979589711

Subsequent approximations of √96 - the position of a fraction indicates whether it is over or under the root-value.
 1 0 1 2 3 4 5 6 7 8 9 10 29 39 49 480 529 578 627 676 725 774 823 872 921 970 2861 3831 4801 47040 ... 0 1 1 1 1 1 1 1 1 1 1 1 3 4 5 49 54 59 64 69 74 79 84 89 94 99 292 391 490 4801 ...

 Diophantine equation: s2-96p2 = 1 d = distance to nearest square N2: -4 Smallest non-trivial s: (2*100-4)/4 rational: 49 actual: 49 ⇒ F=98 Smallest non-trivial p: 2*10/4 rational: 5 actual: 5 ⇒ primus foldage=5 v-value tq-blocks: 102-96*12: +4 Number of series: 14

Cross multiplying the red-green pairs renders subsequent solutions of the diophantine equation.
 s 1 49 4801 ... p 0 5 490 ...

 In the numerator: U(1,49)98 = 1/2*U(2,98)98 - half the secundus of 98. In the denominator: U(0,5)98 = 5*U(0,1)98 - the 5-fold primus of 98. as well as ... In the numerator: U(0,480)98 = 480*U(0,1)98 - the 96*5-fold primus of 98. In the denominator: U(1,49)98 = 1/2*U(2,98)98 - half the secundus of 98. and ... In the numerator: U(10,10)98 = 10*U(1,1)98 - the 10-fold tertius of 98. In the denominator: U(-1,1)98 = - the quartus of 98.