Tabulka řešení Lagrangeovy rovnice
v závislosti na koeficientech A, B, C
V rozsahu r = 0 až 6 AUC=0
A -30 -25 -20 -15 -10 -5 0 B 0 5.4772 5.0000 4.4721 3.8730 3.1623 2.2361 ---- 5 5.4744 4.9960 4.4659 3.8618 3.1366 2.1145 ---- 10 5.4717 4.9920 4.4595 3.8503 3.1092 1.8483 ---- 15 5.4688 4.9879 4.4531 3.8386 3.0800 ---- ---- 20 5.4660 4.9838 4.4466 3.8266 3.0486 ---- ---- 25 5.4632 4.9797 4.4401 3.8144 3.0145 ---- ---- 30 5.4604 4.9756 4.4335 3.8019 2.9771 ---- ---- 35 5.4575 4.9714 4.4268 3.7890 2.9353 ---- ---- 40 5.4547 4.9673 4.4200 3.7758 2.8877 ---- ---- 45 5.4518 4.9631 4.4132 3.7623 2.8316 ---- ---- 50 5.4489 4.9588 4.4063 3.7484 2.7614 ---- ---- 55 5.4461 4.9546 4.3993 3.7341 2.6611 ---- ---- 60 5.4432 4.9503 4.3923 3.7194 ---- ---- ----C=-5
A -30 -25 -20 -15 -10 -5 0 B 0 5.4772 5.0000 4.4722 3.8732 3.1631 2.2448 1.2228 5 5.4745 4.9960 4.4659 3.8620 3.1374 2.1298 0.9526 10 5.4717 4.9920 4.4596 3.8505 3.1102 1.9203 0.7859 15 5.4689 4.9879 4.4532 3.8388 3.0811 0.7214 0.6910 20 5.4661 4.9839 4.4467 3.8268 3.0498 0.6433 0.6289 25 5.4632 4.9797 4.4402 3.8146 3.0158 0.5925 0.5843 30 5.4604 4.9756 4.4336 3.8021 2.9786 0.5553 0.5500 35 5.4576 4.9715 4.4269 3.7892 2.9371 0.5262 0.5226 40 5.4547 4.9673 4.4201 3.7761 2.8898 0.5025 0.4999 45 5.4518 4.9631 4.4133 3.7626 2.8343 0.4827 0.4807 50 5.4490 4.9589 4.4064 3.7487 2.7652 0.4657 0.4641 55 5.4461 4.9546 4.3994 3.7344 2.6678 0.4508 0.4496 60 5.4432 4.9503 4.3923 3.7197 0.4388 0.4378 0.4368C=-10
A -30 -25 -20 -15 -10 -5 0 B 0 5.4773 5.0001 4.4723 3.8734 3.1639 2.2531 1.3335 5 5.4745 4.9961 4.4660 3.8622 3.1383 2.1437 1.1333 10 5.4717 4.9920 4.4597 3.8507 3.1111 1.9627 0.9726 15 5.4689 4.9880 4.4532 3.8390 3.0821 0.9566 0.8644 20 5.4661 4.9839 4.4468 3.8271 3.0509 0.8292 0.7897 25 5.4632 4.9798 4.4402 3.8148 3.0171 0.7567 0.7347 30 5.4604 4.9757 4.4336 3.8023 2.9801 0.7060 0.6921 35 5.4576 4.9715 4.4270 3.7895 2.9388 0.6674 0.6579 40 5.4547 4.9673 4.4202 3.7763 2.8919 0.6363 0.6294 45 5.4519 4.9631 4.4134 3.7628 2.8370 0.6105 0.6053 50 5.4490 4.9589 4.4065 3.7490 2.7689 0.5885 0.5845 55 5.4461 4.9546 4.3995 3.7347 2.6742 0.5695 0.5663 60 5.4432 4.9504 4.3924 3.7200 0.5555 0.5528 0.5502C=-15
A -30 -25 -20 -15 -10 -5 0 B 0 5.4773 5.0001 4.4723 3.8736 3.1646 2.2610 1.4029 5 5.4745 4.9961 4.4661 3.8623 3.1391 2.1565 1.2379 10 5.4717 4.9921 4.4597 3.8509 3.1120 1.9945 1.0911 15 5.4689 4.9880 4.4533 3.8392 3.0831 1.1848 0.9806 20 5.4661 4.9839 4.4469 3.8273 3.0521 0.9734 0.8998 25 5.4633 4.9798 4.4403 3.8151 3.0184 0.8784 0.8388 30 5.4604 4.9757 4.4337 3.8025 2.9815 0.8156 0.7910 35 5.4576 4.9715 4.4270 3.7897 2.9405 0.7689 0.7522 40 5.4547 4.9674 4.4203 3.7766 2.8940 0.7320 0.7200 45 5.4519 4.9632 4.4135 3.7631 2.8396 0.7015 0.6925 50 5.4490 4.9589 4.4066 3.7492 2.7725 0.6758 0.6688 55 5.4461 4.9547 4.3996 3.7350 2.6803 0.6536 0.6481 60 5.4432 4.9504 4.3925 3.7203 0.6390 0.6341 0.6296C=-20
A -30 -25 -20 -15 -10 -5 0 B 0 5.4773 5.0001 4.4724 3.8737 3.1654 2.2686 1.4542 5 5.4745 4.9961 4.4661 3.8625 3.1400 2.1684 1.3111 10 5.4717 4.9921 4.4598 3.8511 3.1130 2.0202 1.1772 15 5.4689 4.9880 4.4534 3.8394 3.0841 1.5635 1.0685 20 5.4661 4.9839 4.4469 3.8275 3.0532 1.1024 0.9850 25 5.4633 4.9798 4.4404 3.8153 3.0197 0.9809 0.9203 30 5.4604 4.9757 4.4338 3.8028 2.9830 0.9060 0.8688 35 5.4576 4.9716 4.4271 3.7900 2.9422 0.8518 0.8268 40 5.4548 4.9674 4.4204 3.7768 2.8960 0.8096 0.7917 45 5.4519 4.9632 4.4135 3.7633 2.8422 0.7751 0.7617 50 5.4490 4.9590 4.4066 3.7495 2.7761 0.7461 0.7358 55 5.4461 4.9547 4.3997 3.7352 2.6862 0.7212 0.7130 60 5.4432 4.9504 4.3926 3.7206 2.4844 0.6994 0.6927C=-25
A -30 -25 -20 -15 -10 -5 0 B 0 5.4773 5.0002 4.4725 3.8739 3.1662 2.2759 1.4953 5 5.4745 4.9962 4.4662 3.8627 3.1408 2.1795 1.3673 10 5.4717 4.9921 4.4599 3.8513 3.1139 2.0422 1.2442 15 5.4689 4.9881 4.4535 3.8396 3.0852 1.7554 1.1390 20 5.4661 4.9840 4.4470 3.8277 3.0543 1.2265 1.0548 25 5.4633 4.9799 4.4405 3.8155 3.0209 1.0728 0.9878 30 5.4605 4.9758 4.4339 3.8030 2.9844 0.9852 0.9337 35 5.4576 4.9716 4.4272 3.7902 2.9439 0.9236 0.8892 40 5.4548 4.9674 4.4204 3.7771 2.8981 0.8763 0.8518 45 5.4519 4.9632 4.4136 3.7636 2.8447 0.8381 0.8198 50 5.4490 4.9590 4.4067 3.7498 2.7795 0.8061 0.7921 55 5.4461 4.9547 4.3997 3.7355 2.6918 0.7788 0.7676 60 5.4432 4.9505 4.3927 3.7208 2.5174 0.7550 0.7459C=-30
A -30 -25 -20 -15 -10 -5 0 B 0 5.4773 5.0002 4.4726 3.8741 3.1670 2.2830 1.5298 5 5.4745 4.9962 4.4663 3.8629 3.1416 2.1900 1.4130 10 5.4718 4.9921 4.4599 3.8515 3.1148 2.0614 1.2987 15 5.4690 4.9881 4.4535 3.8398 3.0862 1.8310 1.1976 20 5.4661 4.9840 4.4471 3.8279 3.0554 1.3507 1.1138 25 5.4633 4.9799 4.4405 3.8157 3.0222 1.1580 1.0455 30 5.4605 4.9758 4.4339 3.8032 2.9859 1.0568 0.9897 35 5.4576 4.9716 4.4273 3.7904 2.9456 0.9878 0.9433 40 5.4548 4.9675 4.4205 3.7773 2.9001 0.9357 0.9040 45 5.4519 4.9633 4.4137 3.7639 2.8472 0.8939 0.8704 50 5.4490 4.9590 4.4068 3.7500 2.7829 0.8592 0.8411 55 5.4462 4.9548 4.3998 3.7358 2.6972 0.8296 0.8153 60 5.4433 4.9505 4.3928 3.7211 2.5387 0.8039 0.7923C=-35
A -30 -25 -20 -15 -10 -5 0 B 0 5.4773 5.0002 4.4726 3.8743 3.1677 2.2897 1.5596 5 5.4746 4.9962 4.4664 3.8631 3.1425 2.1998 1.4515 10 5.4718 4.9922 4.4600 3.8517 3.1157 2.0786 1.3447 15 5.4690 4.9881 4.4536 3.8401 3.0872 1.8803 1.2476 20 5.4662 4.9840 4.4471 3.8281 3.0566 1.4728 1.1648 25 5.4633 4.9799 4.4406 3.8159 3.0235 1.2388 1.0960 30 5.4605 4.9758 4.4340 3.8035 2.9873 1.1232 1.0389 35 5.4577 4.9717 4.4273 3.7907 2.9472 1.0467 0.9911 40 5.4548 4.9675 4.4206 3.7776 2.9021 0.9897 0.9504 45 5.4519 4.9633 4.4138 3.7641 2.8497 0.9445 0.9153 50 5.4491 4.9591 4.4069 3.7503 2.7863 0.9072 0.8847 55 5.4462 4.9548 4.3999 3.7361 2.7024 0.8755 0.8577 60 5.4433 4.9505 4.3928 3.7214 2.5554 0.8480 0.8337C=-40
A -30 -25 -20 -15 -10 -5 0 B 0 5.4774 5.0003 4.4727 3.8745 3.1685 2.2963 1.5858 5 5.4746 4.9962 4.4664 3.8633 3.1433 2.2092 1.4849 10 5.4718 4.9922 4.4601 3.8519 3.1166 2.0941 1.3842 15 5.4690 4.9882 4.4537 3.8403 3.0882 1.9176 1.2911 20 5.4662 4.9841 4.4472 3.8283 3.0577 1.5812 1.2098 25 5.4634 4.9800 4.4407 3.8162 3.0247 1.3160 1.1409 30 5.4605 4.9759 4.4341 3.8037 2.9887 1.1854 1.0830 35 5.4577 4.9717 4.4274 3.7909 2.9489 1.1014 1.0340 40 5.4548 4.9675 4.4207 3.7778 2.9040 1.0396 0.9921 45 5.4520 4.9633 4.4139 3.7644 2.8522 0.9911 0.9559 50 5.4491 4.9591 4.4070 3.7506 2.7895 0.9512 0.9242 55 5.4462 4.9549 4.4000 3.7363 2.7074 0.9175 0.8962 60 5.4433 4.9506 4.3929 3.7217 2.5694 0.8884 0.8712C=-45
A -30 -25 -20 -15 -10 -5 0 B 0 5.4774 5.0003 4.4728 3.8747 3.1693 2.3026 1.6094 5 5.4746 4.9963 4.4665 3.8635 3.1442 2.2180 1.5142 10 5.4718 4.9922 4.4602 3.8521 3.1175 2.1084 1.4189 15 5.4690 4.9882 4.4538 3.8405 3.0892 1.9479 1.3294 20 5.4662 4.9841 4.4473 3.8286 3.0588 1.6672 1.2498 25 5.4634 4.9800 4.4408 3.8164 3.0259 1.3898 1.1813 30 5.4605 4.9759 4.4342 3.8039 2.9901 1.2445 1.1229 35 5.4577 4.9717 4.4275 3.7912 2.9505 1.1528 1.0730 40 5.4548 4.9676 4.4208 3.7781 2.9060 1.0863 1.0302 45 5.4520 4.9634 4.4139 3.7646 2.8546 1.0345 0.9930 50 5.4491 4.9591 4.4070 3.7508 2.7927 0.9921 0.9603 55 5.4462 4.9549 4.4001 3.7366 2.7123 0.9565 0.9314 60 5.4433 4.9506 4.3930 3.7220 2.5817 0.9258 0.9055C=-50
A -30 -25 -20 -15 -10 -5 0 B 0 5.4774 5.0003 4.4728 3.8749 3.1701 2.3087 1.6307 5 5.4746 4.9963 4.4666 3.8637 3.1450 2.2265 1.5405 10 5.4718 4.9923 4.4602 3.8523 3.1184 2.1216 1.4498 15 5.4690 4.9882 4.4538 3.8407 3.0902 1.9735 1.3637 20 5.4662 4.9841 4.4474 3.8288 3.0599 1.7329 1.2859 25 5.4634 4.9800 4.4408 3.8166 3.0272 1.4597 1.2179 30 5.4606 4.9759 4.4342 3.8042 2.9915 1.3007 1.1593 35 5.4577 4.9718 4.4276 3.7914 2.9521 1.2014 1.1088 40 5.4549 4.9676 4.4208 3.7783 2.9079 1.1303 1.0652 45 5.4520 4.9634 4.4140 3.7649 2.8570 1.0752 1.0271 50 5.4491 4.9592 4.4071 3.7511 2.7959 1.0305 0.9936 55 5.4462 4.9549 4.4001 3.7369 2.7170 0.9930 0.9639 60 5.4433 4.9506 4.3931 3.7223 2.5926 0.9607 0.9373