1.0000e+09 a=33 offset*sqrt(xi)=24.0802 bound_0.37=24.1245 ratio_to_t=1.1620 
1.0233e+09 a=33 offset*sqrt(xi)=24.1097 bound_0.37=24.1487 ratio_to_t=1.1621 
1.0471e+09 a=33 offset*sqrt(xi)=24.1398 bound_0.37=24.1728 ratio_to_t=1.1623 
1.0715e+09 a=33 offset*sqrt(xi)=24.1707 bound_0.37=24.1969 ratio_to_t=1.1625 
1.0965e+09 a=33 offset*sqrt(xi)=24.2024 bound_0.37=24.2211 ratio_to_t=1.1627 
1.1220e+09 a=33 offset*sqrt(xi)=24.2348 bound_0.37=24.2452 ratio_to_t=1.1630 
1.1482e+09 a=34 offset*sqrt(xi)=24.2643 bound_0.37=24.2693 ratio_to_t=1.1631 
1.1749e+09 a=34 offset*sqrt(xi)=24.2812 bound_0.37=24.2935 ratio_to_t=1.1626 
1.2023e+09 a=34 offset*sqrt(xi)=24.2988 bound_0.37=24.3176 ratio_to_t=1.1622 
1.2303e+09 a=34 offset*sqrt(xi)=24.3167 bound_0.37=24.3417 ratio_to_t=1.1618 
1.2589e+09 a=34 offset*sqrt(xi)=24.3350 bound_0.37=24.3658 ratio_to_t=1.1614 
1.2882e+09 a=34 offset*sqrt(xi)=24.3536 bound_0.37=24.3900 ratio_to_t=1.1610 
1.3183e+09 a=34 offset*sqrt(xi)=24.3729 bound_0.37=24.4141 ratio_to_t=1.1606 
1.3490e+09 a=34 offset*sqrt(xi)=24.3925 bound_0.37=24.4382 ratio_to_t=1.1603 
1.3804e+09 a=34 offset*sqrt(xi)=24.4126 bound_0.37=24.4623 ratio_to_t=1.1600 
1.4125e+09 a=34 offset*sqrt(xi)=24.4334 bound_0.37=24.4864 ratio_to_t=1.1597 
1.4454e+09 a=34 offset*sqrt(xi)=24.4545 bound_0.37=24.5106 ratio_to_t=1.1594 
1.4791e+09 a=34 offset*sqrt(xi)=24.4761 bound_0.37=24.5347 ratio_to_t=1.1592 
1.5136e+09 a=34 offset*sqrt(xi)=24.4982 bound_0.37=24.5588 ratio_to_t=1.1590 
1.5488e+09 a=34 offset*sqrt(xi)=24.5209 bound_0.37=24.5829 ratio_to_t=1.1588 
1.5849e+09 a=34 offset*sqrt(xi)=24.5442 bound_0.37=24.6070 ratio_to_t=1.1586 
1.6218e+09 a=34 offset*sqrt(xi)=24.5681 bound_0.37=24.6311 ratio_to_t=1.1585 
1.6596e+09 a=34 offset*sqrt(xi)=24.5925 bound_0.37=24.6552 ratio_to_t=1.1584 
1.6982e+09 a=34 offset*sqrt(xi)=24.6175 bound_0.37=24.6794 ratio_to_t=1.1583 
1.7378e+09 a=34 offset*sqrt(xi)=24.6432 bound_0.37=24.7035 ratio_to_t=1.1583 
1.7783e+09 a=34 offset*sqrt(xi)=24.6694 bound_0.37=24.7276 ratio_to_t=1.1582 
1.8197e+09 a=34 offset*sqrt(xi)=24.6963 bound_0.37=24.7517 ratio_to_t=1.1583 
1.8621e+09 a=34 offset*sqrt(xi)=24.7239 bound_0.37=24.7758 ratio_to_t=1.1583 
1.9055e+09 a=34 offset*sqrt(xi)=24.7521 bound_0.37=24.7999 ratio_to_t=1.1584 
1.9498e+09 a=34 offset*sqrt(xi)=24.7811 bound_0.37=24.8240 ratio_to_t=1.1585 
1.9953e+09 a=34 offset*sqrt(xi)=24.8106 bound_0.37=24.8481 ratio_to_t=1.1586 
2.0417e+09 a=34 offset*sqrt(xi)=24.8410 bound_0.37=24.8722 ratio_to_t=1.1588 
2.0893e+09 a=34 offset*sqrt(xi)=24.8721 bound_0.37=24.8963 ratio_to_t=1.1590 
2.1380e+09 a=34 offset*sqrt(xi)=24.9039 bound_0.37=24.9204 ratio_to_t=1.1592 
2.1878e+09 a=34 offset*sqrt(xi)=24.9365 bound_0.37=24.9445 ratio_to_t=1.1595 
2.2387e+09 a=35 offset*sqrt(xi)=24.9617 bound_0.37=24.9686 ratio_to_t=1.1594 
2.2909e+09 a=35 offset*sqrt(xi)=24.9787 bound_0.37=24.9927 ratio_to_t=1.1590 
2.3442e+09 a=35 offset*sqrt(xi)=24.9962 bound_0.37=25.0168 ratio_to_t=1.1586 
2.3988e+09 a=35 offset*sqrt(xi)=25.0142 bound_0.37=25.0409 ratio_to_t=1.1582 
2.4547e+09 a=35 offset*sqrt(xi)=25.0326 bound_0.37=25.0650 ratio_to_t=1.1578 
2.5119e+09 a=35 offset*sqrt(xi)=25.0515 bound_0.37=25.0890 ratio_to_t=1.1574 
2.5704e+09 a=35 offset*sqrt(xi)=25.0706 bound_0.37=25.1131 ratio_to_t=1.1571 
2.6303e+09 a=35 offset*sqrt(xi)=25.0904 bound_0.37=25.1372 ratio_to_t=1.1568 
2.6915e+09 a=35 offset*sqrt(xi)=25.1106 bound_0.37=25.1613 ratio_to_t=1.1565 
2.7542e+09 a=35 offset*sqrt(xi)=25.1315 bound_0.37=25.1854 ratio_to_t=1.1562 
2.8184e+09 a=35 offset*sqrt(xi)=25.1527 bound_0.37=25.2095 ratio_to_t=1.1559 
2.8840e+09 a=35 offset*sqrt(xi)=25.1744 bound_0.37=25.2336 ratio_to_t=1.1557 
2.9512e+09 a=35 offset*sqrt(xi)=25.1966 bound_0.37=25.2576 ratio_to_t=1.1555 
3.0200e+09 a=35 offset*sqrt(xi)=25.2196 bound_0.37=25.2817 ratio_to_t=1.1553 
3.0903e+09 a=35 offset*sqrt(xi)=25.2429 bound_0.37=25.3058 ratio_to_t=1.1552 
3.1623e+09 a=35 offset*sqrt(xi)=25.2669 bound_0.37=25.3299 ratio_to_t=1.1551 
3.2359e+09 a=35 offset*sqrt(xi)=25.2914 bound_0.37=25.3540 ratio_to_t=1.1550 
3.3113e+09 a=35 offset*sqrt(xi)=25.3166 bound_0.37=25.3780 ratio_to_t=1.1549 
3.3884e+09 a=35 offset*sqrt(xi)=25.3423 bound_0.37=25.4021 ratio_to_t=1.1549 
3.4674e+09 a=35 offset*sqrt(xi)=25.3686 bound_0.37=25.4262 ratio_to_t=1.1549 
3.5481e+09 a=35 offset*sqrt(xi)=25.3956 bound_0.37=25.4503 ratio_to_t=1.1549 
3.6308e+09 a=35 offset*sqrt(xi)=25.4233 bound_0.37=25.4743 ratio_to_t=1.1549 
3.7154e+09 a=35 offset*sqrt(xi)=25.4516 bound_0.37=25.4984 ratio_to_t=1.1550 
3.8019e+09 a=35 offset*sqrt(xi)=25.4806 bound_0.37=25.5225 ratio_to_t=1.1551 
3.8905e+09 a=35 offset*sqrt(xi)=25.5103 bound_0.37=25.5465 ratio_to_t=1.1553 
3.9811e+09 a=35 offset*sqrt(xi)=25.5408 bound_0.37=25.5706 ratio_to_t=1.1554 
4.0738e+09 a=35 offset*sqrt(xi)=25.5720 bound_0.37=25.5947 ratio_to_t=1.1556 
4.1687e+09 a=35 offset*sqrt(xi)=25.6040 bound_0.37=25.6187 ratio_to_t=1.1559 
4.2658e+09 a=35 offset*sqrt(xi)=25.6367 bound_0.37=25.6428 ratio_to_t=1.1562 
4.3652e+09 a=36 offset*sqrt(xi)=25.6583 bound_0.37=25.6669 ratio_to_t=1.1559 
4.4668e+09 a=36 offset*sqrt(xi)=25.6755 bound_0.37=25.6909 ratio_to_t=1.1555 
4.5709e+09 a=36 offset*sqrt(xi)=25.6931 bound_0.37=25.7150 ratio_to_t=1.1551 
4.6774e+09 a=36 offset*sqrt(xi)=25.7111 bound_0.37=25.7391 ratio_to_t=1.1547 
4.7863e+09 a=36 offset*sqrt(xi)=25.7296 bound_0.37=25.7631 ratio_to_t=1.1544 
4.8978e+09 a=36 offset*sqrt(xi)=25.7485 bound_0.37=25.7872 ratio_to_t=1.1540 
5.0119e+09 a=36 offset*sqrt(xi)=25.7679 bound_0.37=25.8112 ratio_to_t=1.1537 
5.1286e+09 a=36 offset*sqrt(xi)=25.7877 bound_0.37=25.8353 ratio_to_t=1.1534 
5.2481e+09 a=36 offset*sqrt(xi)=25.8080 bound_0.37=25.8593 ratio_to_t=1.1531 
5.3703e+09 a=36 offset*sqrt(xi)=25.8288 bound_0.37=25.8834 ratio_to_t=1.1529 
5.4954e+09 a=36 offset*sqrt(xi)=25.8501 bound_0.37=25.9075 ratio_to_t=1.1526 
5.6234e+09 a=36 offset*sqrt(xi)=25.8719 bound_0.37=25.9315 ratio_to_t=1.1524 
5.7544e+09 a=36 offset*sqrt(xi)=25.8942 bound_0.37=25.9556 ratio_to_t=1.1522 
5.8884e+09 a=36 offset*sqrt(xi)=25.9172 bound_0.37=25.9796 ratio_to_t=1.1521 
6.0256e+09 a=36 offset*sqrt(xi)=25.9406 bound_0.37=26.0037 ratio_to_t=1.1519 
6.1660e+09 a=36 offset*sqrt(xi)=25.9646 bound_0.37=26.0277 ratio_to_t=1.1518 
6.3096e+09 a=36 offset*sqrt(xi)=25.9892 bound_0.37=26.0517 ratio_to_t=1.1517 
6.4565e+09 a=36 offset*sqrt(xi)=26.0145 bound_0.37=26.0758 ratio_to_t=1.1517 
6.6069e+09 a=36 offset*sqrt(xi)=26.0403 bound_0.37=26.0998 ratio_to_t=1.1516 
6.7608e+09 a=36 offset*sqrt(xi)=26.0667 bound_0.37=26.1239 ratio_to_t=1.1516 
6.9183e+09 a=36 offset*sqrt(xi)=26.0938 bound_0.37=26.1479 ratio_to_t=1.1517 
7.0795e+09 a=36 offset*sqrt(xi)=26.1216 bound_0.37=26.1720 ratio_to_t=1.1517 
7.2444e+09 a=36 offset*sqrt(xi)=26.1501 bound_0.37=26.1960 ratio_to_t=1.1518 
7.4131e+09 a=36 offset*sqrt(xi)=26.1792 bound_0.37=26.2200 ratio_to_t=1.1519 
7.5858e+09 a=36 offset*sqrt(xi)=26.2090 bound_0.37=26.2441 ratio_to_t=1.1521 
7.7625e+09 a=36 offset*sqrt(xi)=26.2396 bound_0.37=26.2681 ratio_to_t=1.1522 
7.9433e+09 a=36 offset*sqrt(xi)=26.2709 bound_0.37=26.2922 ratio_to_t=1.1525 
8.1283e+09 a=36 offset*sqrt(xi)=26.3029 bound_0.37=26.3162 ratio_to_t=1.1527 
8.3176e+09 a=36 offset*sqrt(xi)=26.3357 bound_0.37=26.3402 ratio_to_t=1.1530 
8.5114e+09 a=37 offset*sqrt(xi)=26.3545 bound_0.37=26.3643 ratio_to_t=1.1526 
8.7096e+09 a=37 offset*sqrt(xi)=26.3717 bound_0.37=26.3883 ratio_to_t=1.1522 
8.9125e+09 a=37 offset*sqrt(xi)=26.3894 bound_0.37=26.4123 ratio_to_t=1.1518 
9.1201e+09 a=37 offset*sqrt(xi)=26.4074 bound_0.37=26.4364 ratio_to_t=1.1515 
9.3325e+09 a=37 offset*sqrt(xi)=26.4259 bound_0.37=26.4604 ratio_to_t=1.1511 
9.5499e+09 a=37 offset*sqrt(xi)=26.4449 bound_0.37=26.4844 ratio_to_t=1.1508 
9.7724e+09 a=37 offset*sqrt(xi)=26.4642 bound_0.37=26.5084 ratio_to_t=1.1505 
1.0000e+10 a=37 offset*sqrt(xi)=26.4841 bound_0.37=26.5325 ratio_to_t=1.1502 
max(offset - bound)*sqrt(xi): -0.004543354584534789