Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [22,8,Mod(3,22)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(22, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("22.3");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 22 = 2 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 22.c (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.87247056065\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 2 x^{11} + 718 x^{10} - 5886 x^{9} + 371698 x^{8} + 6317266 x^{7} + 171079947 x^{6} + 3212289784 x^{5} + 91377152203 x^{4} + \cdots + 475277889155161 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{4}\cdot 11^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 5.1 | ||
Root | \(-8.68746 + 26.7373i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 22.5 |
Dual form | 22.8.c.a.9.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/22\mathbb{Z}\right)^\times\).
\(n\) | \(13\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.47214 | + | 7.60845i | 0.218508 | + | 0.672499i | ||||
\(3\) | −26.1922 | − | 19.0297i | −0.560077 | − | 0.406920i | 0.271410 | − | 0.962464i | \(-0.412510\pi\) |
−0.831487 | + | 0.555544i | \(0.812510\pi\) | |||||||
\(4\) | −51.7771 | + | 37.6183i | −0.404508 | + | 0.293893i | ||||
\(5\) | 40.3475 | − | 124.177i | 0.144351 | − | 0.444268i | −0.852576 | − | 0.522604i | \(-0.824961\pi\) |
0.996927 | + | 0.0783358i | \(0.0249606\pi\) | |||||||
\(6\) | 80.0362 | − | 246.326i | 0.151272 | − | 0.465566i | ||||
\(7\) | 972.268 | − | 706.394i | 1.07138 | − | 0.778402i | 0.0952191 | − | 0.995456i | \(-0.469645\pi\) |
0.976160 | + | 0.217054i | \(0.0696448\pi\) | |||||||
\(8\) | −414.217 | − | 300.946i | −0.286031 | − | 0.207813i | ||||
\(9\) | −351.920 | − | 1083.10i | −0.160915 | − | 0.495244i | ||||
\(10\) | 1044.54 | 0.330312 | ||||||||
\(11\) | 4274.89 | − | 1101.11i | 0.968392 | − | 0.249435i | ||||
\(12\) | 2072.02 | 0.346147 | ||||||||
\(13\) | −427.622 | − | 1316.08i | −0.0539831 | − | 0.166143i | 0.920430 | − | 0.390907i | \(-0.127839\pi\) |
−0.974413 | + | 0.224764i | \(0.927839\pi\) | |||||||
\(14\) | 7778.15 | + | 5651.15i | 0.757579 | + | 0.550413i | ||||
\(15\) | −3419.84 | + | 2484.66i | −0.261629 | + | 0.190085i | ||||
\(16\) | 1265.73 | − | 3895.53i | 0.0772542 | − | 0.237764i | ||||
\(17\) | 4175.04 | − | 12849.4i | 0.206105 | − | 0.634327i | −0.793561 | − | 0.608491i | \(-0.791775\pi\) |
0.999666 | − | 0.0258359i | \(-0.00822475\pi\) | |||||||
\(18\) | 7370.71 | − | 5355.13i | 0.297890 | − | 0.216430i | ||||
\(19\) | −23358.1 | − | 16970.6i | −0.781267 | − | 0.567623i | 0.124092 | − | 0.992271i | \(-0.460398\pi\) |
−0.905359 | + | 0.424647i | \(0.860398\pi\) | |||||||
\(20\) | 2582.24 | + | 7947.31i | 0.0721757 | + | 0.222134i | ||||
\(21\) | −38908.4 | −0.916802 | ||||||||
\(22\) | 18945.9 | + | 29803.2i | 0.379346 | + | 0.596739i | ||||
\(23\) | −73858.7 | −1.26577 | −0.632884 | − | 0.774246i | \(-0.718129\pi\) | ||||
−0.632884 | + | 0.774246i | \(0.718129\pi\) | |||||||
\(24\) | 5122.32 | + | 15764.9i | 0.0756358 | + | 0.232783i | ||||
\(25\) | 49412.5 | + | 35900.3i | 0.632480 | + | 0.459524i | ||||
\(26\) | 8956.22 | − | 6507.08i | 0.0999351 | − | 0.0726071i | ||||
\(27\) | −33273.4 | + | 102405.i | −0.325330 | + | 1.00126i | ||||
\(28\) | −23767.9 | + | 73150.1i | −0.204615 | + | 0.629741i | ||||
\(29\) | 8105.27 | − | 5888.82i | 0.0617127 | − | 0.0448369i | −0.556501 | − | 0.830847i | \(-0.687857\pi\) |
0.618214 | + | 0.786010i | \(0.287857\pi\) | |||||||
\(30\) | −27358.7 | − | 19877.3i | −0.185000 | − | 0.134410i | ||||
\(31\) | −9452.74 | − | 29092.5i | −0.0569891 | − | 0.175394i | 0.918510 | − | 0.395398i | \(-0.129393\pi\) |
−0.975499 | + | 0.220003i | \(0.929393\pi\) | |||||||
\(32\) | 32768.0 | 0.176777 | ||||||||
\(33\) | −132923. | − | 52509.7i | −0.643874 | − | 0.254355i | ||||
\(34\) | 108086. | 0.471619 | ||||||||
\(35\) | −48489.2 | − | 149234.i | −0.191164 | − | 0.588343i | ||||
\(36\) | 58965.7 | + | 42841.1i | 0.210640 | + | 0.153039i | ||||
\(37\) | 429947. | − | 312375.i | 1.39543 | − | 1.01384i | 0.400187 | − | 0.916433i | \(-0.368945\pi\) |
0.995245 | − | 0.0974075i | \(-0.0310550\pi\) | |||||||
\(38\) | 71375.9 | − | 219672.i | 0.211013 | − | 0.649431i | ||||
\(39\) | −13844.4 | + | 42608.7i | −0.0373721 | + | 0.115020i | ||||
\(40\) | −54083.1 | + | 39293.7i | −0.133614 | + | 0.0970762i | ||||
\(41\) | 201430. | + | 146347.i | 0.456436 | + | 0.331620i | 0.792132 | − | 0.610350i | \(-0.208971\pi\) |
−0.335695 | + | 0.941971i | \(0.608971\pi\) | |||||||
\(42\) | −96186.7 | − | 296032.i | −0.200328 | − | 0.616548i | ||||
\(43\) | −118661. | −0.227597 | −0.113799 | − | 0.993504i | \(-0.536302\pi\) | ||||
−0.113799 | + | 0.993504i | \(0.536302\pi\) | |||||||
\(44\) | −179920. | + | 217826.i | −0.318416 | + | 0.385502i | ||||
\(45\) | −148695. | −0.243249 | ||||||||
\(46\) | −182589. | − | 561950.i | −0.276581 | − | 0.851227i | ||||
\(47\) | 977962. | + | 710531.i | 1.37398 | + | 0.998252i | 0.997415 | + | 0.0718608i | \(0.0228937\pi\) |
0.376562 | + | 0.926392i | \(0.377106\pi\) | |||||||
\(48\) | −107283. | + | 77945.8i | −0.140019 | + | 0.101730i | ||||
\(49\) | 191824. | − | 590374.i | 0.232925 | − | 0.716870i | ||||
\(50\) | −150991. | + | 464703.i | −0.170827 | + | 0.525752i | ||||
\(51\) | −353875. | + | 257105.i | −0.373555 | + | 0.271403i | ||||
\(52\) | 71649.8 | + | 52056.6i | 0.0706648 | + | 0.0513410i | ||||
\(53\) | 240735. | + | 740907.i | 0.222113 | + | 0.683594i | 0.998572 | + | 0.0534255i | \(0.0170140\pi\) |
−0.776459 | + | 0.630168i | \(0.782986\pi\) | |||||||
\(54\) | −861401. | −0.744436 | ||||||||
\(55\) | 35748.9 | − | 575270.i | 0.0289730 | − | 0.466232i | ||||
\(56\) | −615316. | −0.468210 | ||||||||
\(57\) | 288852. | + | 888996.i | 0.206592 | + | 0.635826i | ||||
\(58\) | 64842.1 | + | 47110.6i | 0.0436375 | + | 0.0317045i | ||||
\(59\) | −1.11318e6 | + | 808770.i | −0.705638 | + | 0.512676i | −0.881763 | − | 0.471692i | \(-0.843643\pi\) |
0.176126 | + | 0.984368i | \(0.443643\pi\) | |||||||
\(60\) | 83600.8 | − | 257297.i | 0.0499668 | − | 0.153782i | ||||
\(61\) | −189639. | + | 583649.i | −0.106973 | + | 0.329229i | −0.990188 | − | 0.139739i | \(-0.955374\pi\) |
0.883216 | + | 0.468967i | \(0.155374\pi\) | |||||||
\(62\) | 197981. | − | 143841.i | 0.105500 | − | 0.0766502i | ||||
\(63\) | −1.10726e6 | − | 804468.i | −0.557899 | − | 0.405338i | ||||
\(64\) | 81007.0 | + | 249314.i | 0.0386271 | + | 0.118882i | ||||
\(65\) | −180680. | −0.0816046 | ||||||||
\(66\) | 70914.1 | − | 1.14115e6i | 0.0303619 | − | 0.488583i | ||||
\(67\) | −2.89521e6 | −1.17603 | −0.588015 | − | 0.808850i | \(-0.700090\pi\) | ||||
−0.588015 | + | 0.808850i | \(0.700090\pi\) | |||||||
\(68\) | 267202. | + | 822364.i | 0.103053 | + | 0.317163i | ||||
\(69\) | 1.93452e6 | + | 1.40551e6i | 0.708928 | + | 0.515066i | ||||
\(70\) | 1.01557e6 | − | 737855.i | 0.353889 | − | 0.257115i | ||||
\(71\) | 1.13294e6 | − | 3.48683e6i | 0.375667 | − | 1.15618i | −0.567361 | − | 0.823469i | \(-0.692036\pi\) |
0.943028 | − | 0.332714i | \(-0.107964\pi\) | |||||||
\(72\) | −180183. | + | 554546.i | −0.0568919 | + | 0.175095i | ||||
\(73\) | 576001. | − | 418489.i | 0.173298 | − | 0.125908i | −0.497755 | − | 0.867318i | \(-0.665842\pi\) |
0.671053 | + | 0.741409i | \(0.265842\pi\) | |||||||
\(74\) | 3.43957e6 | + | 2.49900e6i | 0.986719 | + | 0.716894i | ||||
\(75\) | −611049. | − | 1.88062e6i | −0.167248 | − | 0.514737i | ||||
\(76\) | 1.84782e6 | 0.482849 | ||||||||
\(77\) | 3.37853e6 | − | 4.09034e6i | 0.843354 | − | 1.02104i | ||||
\(78\) | −358411. | −0.0855166 | ||||||||
\(79\) | −342404. | − | 1.05381e6i | −0.0781348 | − | 0.240474i | 0.904358 | − | 0.426775i | \(-0.140350\pi\) |
−0.982493 | + | 0.186300i | \(0.940350\pi\) | |||||||
\(80\) | −432665. | − | 314349.i | −0.0944793 | − | 0.0686432i | ||||
\(81\) | 805281. | − | 585071.i | 0.168364 | − | 0.122324i | ||||
\(82\) | −615514. | + | 1.89436e6i | −0.123279 | + | 0.379414i | ||||
\(83\) | −2.47574e6 | + | 7.61953e6i | −0.475260 | + | 1.46270i | 0.370347 | + | 0.928893i | \(0.379239\pi\) |
−0.845607 | + | 0.533806i | \(0.820761\pi\) | |||||||
\(84\) | 2.01456e6 | − | 1.46366e6i | 0.370854 | − | 0.269441i | ||||
\(85\) | −1.42715e6 | − | 1.03688e6i | −0.252060 | − | 0.183132i | ||||
\(86\) | −293345. | − | 902825.i | −0.0497319 | − | 0.153059i | ||||
\(87\) | −324358. | −0.0528089 | ||||||||
\(88\) | −2.10211e6 | − | 830414.i | −0.328826 | − | 0.129899i | ||||
\(89\) | 3.06471e6 | 0.460813 | 0.230406 | − | 0.973094i | \(-0.425994\pi\) | ||||
0.230406 | + | 0.973094i | \(0.425994\pi\) | |||||||
\(90\) | −367594. | − | 1.13134e6i | −0.0531519 | − | 0.163585i | ||||
\(91\) | −1.34544e6 | − | 977517.i | −0.187162 | − | 0.135981i | ||||
\(92\) | 3.82419e6 | − | 2.77844e6i | 0.512014 | − | 0.372000i | ||||
\(93\) | −306036. | + | 941881.i | −0.0394532 | + | 0.121424i | ||||
\(94\) | −2.98838e6 | + | 9.19730e6i | −0.371098 | + | 1.14212i | ||||
\(95\) | −3.04980e6 | + | 2.21581e6i | −0.364954 | + | 0.265155i | ||||
\(96\) | −858266. | − | 623567.i | −0.0990085 | − | 0.0719339i | ||||
\(97\) | −5.12585e6 | − | 1.57758e7i | −0.570250 | − | 1.75505i | −0.651813 | − | 0.758380i | \(-0.725991\pi\) |
0.0815632 | − | 0.996668i | \(-0.474009\pi\) | |||||||
\(98\) | 4.96604e6 | 0.532990 | ||||||||
\(99\) | −2.69703e6 | − | 4.24263e6i | −0.279359 | − | 0.439453i | ||||
\(100\) | −3.90894e6 | −0.390894 | ||||||||
\(101\) | 3.42361e6 | + | 1.05368e7i | 0.330643 | + | 1.01761i | 0.968829 | + | 0.247731i | \(0.0796850\pi\) |
−0.638186 | + | 0.769882i | \(0.720315\pi\) | |||||||
\(102\) | −2.83100e6 | − | 2.05684e6i | −0.264143 | − | 0.191911i | ||||
\(103\) | −1.62526e7 | + | 1.18082e7i | −1.46552 | + | 1.06476i | −0.483636 | + | 0.875269i | \(0.660684\pi\) |
−0.981882 | + | 0.189492i | \(0.939316\pi\) | |||||||
\(104\) | −218942. | + | 673835.i | −0.0190859 | + | 0.0587404i | ||||
\(105\) | −1.56985e6 | + | 4.83151e6i | −0.132342 | + | 0.407306i | ||||
\(106\) | −5.04202e6 | + | 3.66324e6i | −0.411182 | + | 0.298741i | ||||
\(107\) | 9.70373e6 | + | 7.05018e6i | 0.765765 | + | 0.556361i | 0.900673 | − | 0.434497i | \(-0.143074\pi\) |
−0.134908 | + | 0.990858i | \(0.543074\pi\) | |||||||
\(108\) | −2.12950e6 | − | 6.55393e6i | −0.162665 | − | 0.500632i | ||||
\(109\) | 2.11255e7 | 1.56248 | 0.781240 | − | 0.624231i | \(-0.214588\pi\) | ||||
0.781240 | + | 0.624231i | \(0.214588\pi\) | |||||||
\(110\) | 4.46529e6 | − | 1.15015e6i | 0.319871 | − | 0.0823911i | ||||
\(111\) | −1.72057e7 | −1.19410 | ||||||||
\(112\) | −1.52115e6 | − | 4.68160e6i | −0.102308 | − | 0.314870i | ||||
\(113\) | 2.07290e7 | + | 1.50605e7i | 1.35146 | + | 0.981896i | 0.998937 | + | 0.0460940i | \(0.0146774\pi\) |
0.352527 | + | 0.935802i | \(0.385323\pi\) | |||||||
\(114\) | −6.04980e6 | + | 4.39544e6i | −0.382450 | + | 0.277866i | ||||
\(115\) | −2.98001e6 | + | 9.17153e6i | −0.182716 | + | 0.562341i | ||||
\(116\) | −198140. | + | 609812.i | −0.0117861 | + | 0.0362738i | ||||
\(117\) | −1.27496e6 | + | 926313.i | −0.0735946 | + | 0.0534696i | ||||
\(118\) | −8.90541e6 | − | 6.47016e6i | −0.498961 | − | 0.362517i | ||||
\(119\) | −5.01752e6 | − | 1.54423e7i | −0.272945 | − | 0.840037i | ||||
\(120\) | 2.16430e6 | 0.114336 | ||||||||
\(121\) | 1.70623e7 | − | 9.41426e6i | 0.875565 | − | 0.483101i | ||||
\(122\) | −4.90948e6 | −0.244780 | ||||||||
\(123\) | −2.49094e6 | − | 7.66631e6i | −0.120697 | − | 0.371466i | ||||
\(124\) | 1.58385e6 | + | 1.15073e6i | 0.0745997 | + | 0.0541998i | ||||
\(125\) | 1.47041e7 | − | 1.06831e7i | 0.673368 | − | 0.489231i | ||||
\(126\) | 3.38347e6 | − | 1.04133e7i | 0.150683 | − | 0.463756i | ||||
\(127\) | 9.62956e6 | − | 2.96367e7i | 0.417151 | − | 1.28386i | −0.493161 | − | 0.869938i | \(-0.664159\pi\) |
0.910313 | − | 0.413922i | \(-0.135841\pi\) | |||||||
\(128\) | −1.69663e6 | + | 1.23268e6i | −0.0715077 | + | 0.0519534i | ||||
\(129\) | 3.10799e6 | + | 2.25808e6i | 0.127472 | + | 0.0926139i | ||||
\(130\) | −446667. | − | 1.37470e6i | −0.0178312 | − | 0.0548789i | ||||
\(131\) | 4.26368e7 | 1.65705 | 0.828524 | − | 0.559953i | \(-0.189181\pi\) | ||||
0.828524 | + | 0.559953i | \(0.189181\pi\) | |||||||
\(132\) | 8.85768e6 | − | 2.28153e6i | 0.335205 | − | 0.0863409i | ||||
\(133\) | −3.46983e7 | −1.27887 | ||||||||
\(134\) | −7.15735e6 | − | 2.20281e7i | −0.256972 | − | 0.790878i | ||||
\(135\) | 1.13738e7 | + | 8.26358e6i | 0.397868 | + | 0.289068i | ||||
\(136\) | −5.59636e6 | + | 4.06599e6i | −0.190774 | + | 0.138605i | ||||
\(137\) | −423305. | + | 1.30280e6i | −0.0140647 | + | 0.0432868i | −0.957843 | − | 0.287294i | \(-0.907244\pi\) |
0.943778 | + | 0.330580i | \(0.107244\pi\) | |||||||
\(138\) | −5.91137e6 | + | 1.81933e7i | −0.191475 | + | 0.589299i | ||||
\(139\) | −4.08738e7 | + | 2.96965e7i | −1.29090 | + | 0.937894i | −0.999823 | − | 0.0188053i | \(-0.994014\pi\) |
−0.291077 | + | 0.956699i | \(0.594014\pi\) | |||||||
\(140\) | 8.12456e6 | + | 5.90284e6i | 0.250237 | + | 0.181808i | ||||
\(141\) | −1.20937e7 | − | 3.72207e7i | −0.363324 | − | 1.11820i | ||||
\(142\) | 2.93302e7 | 0.859617 | ||||||||
\(143\) | −3.27719e6 | − | 5.15526e6i | −0.0937186 | − | 0.147426i | ||||
\(144\) | −4.66468e6 | −0.130183 | ||||||||
\(145\) | −404228. | − | 1.24408e6i | −0.0110113 | − | 0.0338893i | ||||
\(146\) | 4.60801e6 | + | 3.34791e6i | 0.122540 | + | 0.0890306i | ||||
\(147\) | −1.62590e7 | + | 1.18128e7i | −0.422165 | + | 0.306721i | ||||
\(148\) | −1.05104e7 | + | 3.23477e7i | −0.266504 | + | 0.820214i | ||||
\(149\) | −1.93736e7 | + | 5.96260e7i | −0.479799 | + | 1.47667i | 0.359575 | + | 0.933116i | \(0.382922\pi\) |
−0.839374 | + | 0.543554i | \(0.817078\pi\) | |||||||
\(150\) | 1.27980e7 | − | 9.29827e6i | 0.309615 | − | 0.224948i | ||||
\(151\) | 3.24820e7 | + | 2.35996e7i | 0.767757 | + | 0.557808i | 0.901280 | − | 0.433238i | \(-0.142629\pi\) |
−0.133523 | + | 0.991046i | \(0.542629\pi\) | |||||||
\(152\) | 4.56806e6 | + | 1.40590e7i | 0.105506 | + | 0.324715i | ||||
\(153\) | −1.53865e7 | −0.347312 | ||||||||
\(154\) | 3.94733e7 | + | 1.55935e7i | 0.870925 | + | 0.344049i | ||||
\(155\) | −3.99401e6 | −0.0861486 | ||||||||
\(156\) | −886041. | − | 2.72695e6i | −0.0186861 | − | 0.0575098i | ||||
\(157\) | −4.20074e7 | − | 3.05201e7i | −0.866317 | − | 0.629416i | 0.0632794 | − | 0.997996i | \(-0.479844\pi\) |
−0.929596 | + | 0.368580i | \(0.879844\pi\) | |||||||
\(158\) | 7.17141e6 | − | 5.21033e6i | 0.144645 | − | 0.105091i | ||||
\(159\) | 7.79388e6 | − | 2.39871e7i | 0.153767 | − | 0.473247i | ||||
\(160\) | 1.32211e6 | − | 4.06902e6i | 0.0255180 | − | 0.0785363i | ||||
\(161\) | −7.18105e7 | + | 5.21734e7i | −1.35612 | + | 0.985277i | ||||
\(162\) | 6.44225e6 | + | 4.68057e6i | 0.119051 | + | 0.0864959i | ||||
\(163\) | −1.78203e7 | − | 5.48452e7i | −0.322298 | − | 0.991932i | −0.972645 | − | 0.232295i | \(-0.925377\pi\) |
0.650347 | − | 0.759637i | \(-0.274623\pi\) | |||||||
\(164\) | −1.59348e7 | −0.282093 | ||||||||
\(165\) | −1.18836e7 | + | 1.43873e7i | −0.205946 | + | 0.249336i | ||||
\(166\) | −6.40932e7 | −1.08751 | ||||||||
\(167\) | −1.27195e7 | − | 3.91467e7i | −0.211331 | − | 0.650410i | −0.999394 | − | 0.0348150i | \(-0.988916\pi\) |
0.788063 | − | 0.615595i | \(-0.211084\pi\) | |||||||
\(168\) | 1.61165e7 | + | 1.17093e7i | 0.262233 | + | 0.190524i | ||||
\(169\) | 4.92154e7 | − | 3.57571e7i | 0.784328 | − | 0.569847i | ||||
\(170\) | 4.36098e6 | − | 1.34217e7i | 0.0680790 | − | 0.209526i | ||||
\(171\) | −1.01607e7 | + | 3.12714e7i | −0.155395 | + | 0.478257i | ||||
\(172\) | 6.14391e6 | − | 4.46381e6i | 0.0920651 | − | 0.0668892i | ||||
\(173\) | −1.61017e7 | − | 1.16986e7i | −0.236434 | − | 0.171780i | 0.463259 | − | 0.886223i | \(-0.346680\pi\) |
−0.699693 | + | 0.714443i | \(0.746680\pi\) | |||||||
\(174\) | −801856. | − | 2.46786e6i | −0.0115392 | − | 0.0355139i | ||||
\(175\) | 7.34020e7 | 1.03532 | ||||||||
\(176\) | 1.12147e6 | − | 1.80467e7i | 0.0155058 | − | 0.249519i | ||||
\(177\) | 4.45472e7 | 0.603829 | ||||||||
\(178\) | 7.57638e6 | + | 2.33177e7i | 0.100691 | + | 0.309896i | ||||
\(179\) | 5.70672e7 | + | 4.14617e7i | 0.743705 | + | 0.540333i | 0.893869 | − | 0.448328i | \(-0.147980\pi\) |
−0.150164 | + | 0.988661i | \(0.547980\pi\) | |||||||
\(180\) | 7.69898e6 | − | 5.59364e6i | 0.0983965 | − | 0.0714892i | ||||
\(181\) | 5.84482e6 | − | 1.79885e7i | 0.0732650 | − | 0.225486i | −0.907718 | − | 0.419581i | \(-0.862177\pi\) |
0.980983 | + | 0.194095i | \(0.0621769\pi\) | |||||||
\(182\) | 4.11129e6 | − | 1.26532e7i | 0.0505508 | − | 0.155579i | ||||
\(183\) | 1.60738e7 | − | 1.16783e7i | 0.193883 | − | 0.140864i | ||||
\(184\) | 3.05935e7 | + | 2.22275e7i | 0.362049 | + | 0.263044i | ||||
\(185\) | −2.14424e7 | − | 6.59929e7i | −0.248985 | − | 0.766296i | ||||
\(186\) | −7.92282e6 | −0.0902785 | ||||||||
\(187\) | 3.69919e6 | − | 5.95272e7i | 0.0413676 | − | 0.665686i | ||||
\(188\) | −7.73649e7 | −0.849164 | ||||||||
\(189\) | 3.99877e7 | + | 1.23069e8i | 0.430834 | + | 1.32597i | ||||
\(190\) | −2.43984e7 | − | 1.77265e7i | −0.258062 | − | 0.187493i | ||||
\(191\) | −2.59759e7 | + | 1.88726e7i | −0.269745 | + | 0.195981i | −0.714432 | − | 0.699705i | \(-0.753315\pi\) |
0.444687 | + | 0.895686i | \(0.353315\pi\) | |||||||
\(192\) | 2.62263e6 | − | 8.07162e6i | 0.0267413 | − | 0.0823012i | ||||
\(193\) | 1.65659e7 | − | 5.09845e7i | 0.165868 | − | 0.510490i | −0.833231 | − | 0.552925i | \(-0.813512\pi\) |
0.999099 | + | 0.0424350i | \(0.0135116\pi\) | |||||||
\(194\) | 1.07357e8 | − | 7.79996e7i | 1.05566 | − | 0.766984i | ||||
\(195\) | 4.73242e6 | + | 3.43830e6i | 0.0457048 | + | 0.0332065i | ||||
\(196\) | 1.22767e7 | + | 3.77839e7i | 0.116463 | + | 0.358435i | ||||
\(197\) | −1.16546e8 | −1.08609 | −0.543043 | − | 0.839705i | \(-0.682728\pi\) | ||||
−0.543043 | + | 0.839705i | \(0.682728\pi\) | |||||||
\(198\) | 2.56124e7 | − | 3.10086e7i | 0.234489 | − | 0.283893i | ||||
\(199\) | 1.94701e8 | 1.75138 | 0.875692 | − | 0.482870i | \(-0.160406\pi\) | ||||
0.875692 | + | 0.482870i | \(0.160406\pi\) | |||||||
\(200\) | −9.66344e6 | − | 2.97410e7i | −0.0854135 | − | 0.262876i | ||||
\(201\) | 7.58319e7 | + | 5.50951e7i | 0.658667 | + | 0.478549i | ||||
\(202\) | −7.17049e7 | + | 5.20967e7i | −0.612095 | + | 0.444713i | ||||
\(203\) | 3.72067e6 | − | 1.14510e7i | 0.0312165 | − | 0.0960746i | ||||
\(204\) | 8.65077e6 | − | 2.66243e7i | 0.0713426 | − | 0.219570i | ||||
\(205\) | 2.63001e7 | − | 1.91081e7i | 0.213216 | − | 0.154910i | ||||
\(206\) | −1.30020e8 | − | 9.44654e7i | −1.03628 | − | 0.752900i | ||||
\(207\) | 2.59924e7 | + | 7.99963e7i | 0.203681 | + | 0.626864i | ||||
\(208\) | −5.66810e6 | −0.0436732 | ||||||||
\(209\) | −1.18540e8 | − | 4.68278e7i | −0.898157 | − | 0.354807i | ||||
\(210\) | −4.06412e7 | −0.302830 | ||||||||
\(211\) | 2.41832e7 | + | 7.44281e7i | 0.177225 | + | 0.545442i | 0.999728 | − | 0.0233184i | \(-0.00742317\pi\) |
−0.822503 | + | 0.568760i | \(0.807423\pi\) | |||||||
\(212\) | −4.03362e7 | − | 2.93060e7i | −0.290750 | − | 0.211242i | ||||
\(213\) | −9.60277e7 | + | 6.97682e7i | −0.680876 | + | 0.494685i | ||||
\(214\) | −2.96520e7 | + | 9.12594e7i | −0.206826 | + | 0.636545i | ||||
\(215\) | −4.78766e6 | + | 1.47349e7i | −0.0328540 | + | 0.101114i | ||||
\(216\) | 4.46008e7 | − | 3.24044e7i | 0.301131 | − | 0.218784i | ||||
\(217\) | −2.97414e7 | − | 2.16084e7i | −0.197584 | − | 0.143553i | ||||
\(218\) | 5.22251e7 | + | 1.60732e8i | 0.341414 | + | 1.05076i | ||||
\(219\) | −2.30505e7 | −0.148295 | ||||||||
\(220\) | 1.97897e7 | + | 3.11306e7i | 0.125302 | + | 0.197110i | ||||
\(221\) | −1.86963e7 | −0.116515 | ||||||||
\(222\) | −4.25347e7 | − | 1.30908e8i | −0.260921 | − | 0.803031i | ||||
\(223\) | −6.20838e7 | − | 4.51066e7i | −0.374897 | − | 0.272378i | 0.384342 | − | 0.923191i | \(-0.374428\pi\) |
−0.759239 | + | 0.650812i | \(0.774428\pi\) | |||||||
\(224\) | 3.18593e7 | − | 2.31471e7i | 0.189395 | − | 0.137603i | ||||
\(225\) | 2.14943e7 | − | 6.61526e7i | 0.125801 | − | 0.387176i | ||||
\(226\) | −6.33423e7 | + | 1.94947e8i | −0.365018 | + | 1.12341i | ||||
\(227\) | −4.21645e7 | + | 3.06343e7i | −0.239252 | + | 0.173827i | −0.700950 | − | 0.713210i | \(-0.747240\pi\) |
0.461698 | + | 0.887037i | \(0.347240\pi\) | |||||||
\(228\) | −4.83984e7 | − | 3.51635e7i | −0.270433 | − | 0.196481i | ||||
\(229\) | 2.94227e7 | + | 9.05539e7i | 0.161904 | + | 0.498291i | 0.998795 | − | 0.0490798i | \(-0.0156289\pi\) |
−0.836890 | + | 0.547371i | \(0.815629\pi\) | |||||||
\(230\) | −7.71482e7 | −0.418098 | ||||||||
\(231\) | −1.66329e8 | + | 4.28424e7i | −0.887823 | + | 0.228682i | ||||
\(232\) | −5.12956e6 | −0.0269694 | ||||||||
\(233\) | 1.28111e7 | + | 3.94285e7i | 0.0663500 | + | 0.204204i | 0.978735 | − | 0.205129i | \(-0.0657614\pi\) |
−0.912385 | + | 0.409333i | \(0.865761\pi\) | |||||||
\(234\) | −1.01997e7 | − | 7.41050e6i | −0.0520392 | − | 0.0378087i | ||||
\(235\) | 1.27690e8 | − | 9.27720e7i | 0.641827 | − | 0.466315i | ||||
\(236\) | 2.72125e7 | − | 8.37515e7i | 0.134765 | − | 0.414763i | ||||
\(237\) | −1.10855e7 | + | 3.41175e7i | −0.0540922 | + | 0.166479i | ||||
\(238\) | 1.05088e8 | − | 7.63511e7i | 0.505283 | − | 0.367110i | ||||
\(239\) | 6.98060e7 | + | 5.07171e7i | 0.330750 | + | 0.240304i | 0.740749 | − | 0.671782i | \(-0.234471\pi\) |
−0.409999 | + | 0.912086i | \(0.634471\pi\) | |||||||
\(240\) | 5.35045e6 | + | 1.64670e7i | 0.0249834 | + | 0.0768909i | ||||
\(241\) | −1.36121e8 | −0.626422 | −0.313211 | − | 0.949684i | \(-0.601405\pi\) | ||||
−0.313211 | + | 0.949684i | \(0.601405\pi\) | |||||||
\(242\) | 1.13808e8 | + | 1.06544e8i | 0.516202 | + | 0.483255i | ||||
\(243\) | 2.03260e8 | 0.908718 | ||||||||
\(244\) | −1.21369e7 | − | 3.73536e7i | −0.0534864 | − | 0.164614i | ||||
\(245\) | −6.55711e7 | − | 4.76402e7i | −0.284860 | − | 0.206963i | ||||
\(246\) | 5.21708e7 | − | 3.79043e7i | 0.223437 | − | 0.162336i | ||||
\(247\) | −1.23464e7 | + | 3.79982e7i | −0.0521314 | + | 0.160444i | ||||
\(248\) | −4.83980e6 | + | 1.48954e7i | −0.0201487 | + | 0.0620113i | ||||
\(249\) | 2.09843e8 | − | 1.52460e8i | 0.861383 | − | 0.625831i | ||||
\(250\) | 1.17633e8 | + | 8.54651e7i | 0.476143 | + | 0.345938i | ||||
\(251\) | −1.47259e7 | − | 4.53216e7i | −0.0587791 | − | 0.180904i | 0.917356 | − | 0.398068i | \(-0.130319\pi\) |
−0.976135 | + | 0.217164i | \(0.930319\pi\) | |||||||
\(252\) | 8.75931e7 | 0.344801 | ||||||||
\(253\) | −3.15738e8 | + | 8.13266e7i | −1.22576 | + | 0.315726i | ||||
\(254\) | 2.49295e8 | 0.954544 | ||||||||
\(255\) | 1.76485e7 | + | 5.43166e7i | 0.0666527 | + | 0.205136i | ||||
\(256\) | −1.35731e7 | − | 9.86140e6i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | 7.81487e7 | − | 5.67784e7i | 0.287181 | − | 0.208649i | −0.434862 | − | 0.900497i | \(-0.643203\pi\) |
0.722044 | + | 0.691848i | \(0.243203\pi\) | |||||||
\(258\) | −9.49716e6 | + | 2.92293e7i | −0.0344290 | + | 0.105962i | ||||
\(259\) | 1.97364e8 | − | 6.07424e8i | 0.705860 | − | 2.17241i | ||||
\(260\) | 9.35511e6 | − | 6.79688e6i | 0.0330097 | − | 0.0239830i | ||||
\(261\) | −9.23058e6 | − | 6.70641e6i | −0.0321357 | − | 0.0233479i | ||||
\(262\) | 1.05404e8 | + | 3.24400e8i | 0.362078 | + | 1.11436i | ||||
\(263\) | −5.39929e8 | −1.83017 | −0.915085 | − | 0.403261i | \(-0.867877\pi\) | ||||
−0.915085 | + | 0.403261i | \(0.867877\pi\) | |||||||
\(264\) | 3.92563e7 | + | 6.17530e7i | 0.131309 | + | 0.206559i | ||||
\(265\) | 1.01716e8 | 0.335761 | ||||||||
\(266\) | −8.57788e7 | − | 2.64000e8i | −0.279444 | − | 0.860039i | ||||
\(267\) | −8.02715e7 | − | 5.83207e7i | −0.258091 | − | 0.187514i | ||||
\(268\) | 1.49905e8 | − | 1.08913e8i | 0.475714 | − | 0.345626i | ||||
\(269\) | 9.29554e7 | − | 2.86087e8i | 0.291167 | − | 0.896119i | −0.693316 | − | 0.720634i | \(-0.743851\pi\) |
0.984482 | − | 0.175484i | \(-0.0561492\pi\) | |||||||
\(270\) | −3.47553e7 | + | 1.06966e8i | −0.107460 | + | 0.330729i | ||||
\(271\) | −2.08684e8 | + | 1.51618e8i | −0.636939 | + | 0.462763i | −0.858797 | − | 0.512316i | \(-0.828788\pi\) |
0.221858 | + | 0.975079i | \(0.428788\pi\) | |||||||
\(272\) | −4.47709e7 | − | 3.25279e7i | −0.134898 | − | 0.0980089i | ||||
\(273\) | 1.66380e7 | + | 5.12067e7i | 0.0494918 | + | 0.152320i | ||||
\(274\) | −1.09587e7 | −0.0321836 | ||||||||
\(275\) | 2.50763e8 | + | 9.90613e7i | 0.727110 | + | 0.287237i | ||||
\(276\) | −1.53037e8 | −0.438141 | ||||||||
\(277\) | 1.36977e8 | + | 4.21573e8i | 0.387230 | + | 1.19177i | 0.934850 | + | 0.355044i | \(0.115534\pi\) |
−0.547619 | + | 0.836728i | \(0.684466\pi\) | |||||||
\(278\) | −3.26990e8 | − | 2.37572e8i | −0.912805 | − | 0.663191i | ||||
\(279\) | −2.81835e7 | + | 2.04765e7i | −0.0776926 | + | 0.0564470i | ||||
\(280\) | −2.48265e7 | + | 7.64080e7i | −0.0675868 | + | 0.208011i | ||||
\(281\) | 1.89936e8 | − | 5.84563e8i | 0.510664 | − | 1.57166i | −0.280372 | − | 0.959891i | \(-0.590458\pi\) |
0.791036 | − | 0.611770i | \(-0.209542\pi\) | |||||||
\(282\) | 2.53295e8 | − | 1.84029e8i | 0.672596 | − | 0.488670i | ||||
\(283\) | −1.82383e8 | − | 1.32509e8i | −0.478335 | − | 0.347530i | 0.322346 | − | 0.946622i | \(-0.395529\pi\) |
−0.800681 | + | 0.599091i | \(0.795529\pi\) | |||||||
\(284\) | 7.25081e7 | + | 2.23157e8i | 0.187833 | + | 0.578091i | ||||
\(285\) | 1.22047e8 | 0.312299 | ||||||||
\(286\) | 3.11219e7 | − | 3.76789e7i | 0.0786656 | − | 0.0952394i | ||||
\(287\) | 2.99223e8 | 0.747150 | ||||||||
\(288\) | −1.15317e7 | − | 3.54910e7i | −0.0284459 | − | 0.0875476i | ||||
\(289\) | 1.84294e8 | + | 1.33897e8i | 0.449126 | + | 0.326309i | ||||
\(290\) | 8.46625e6 | − | 6.15109e6i | 0.0203844 | − | 0.0148101i | ||||
\(291\) | −1.65951e8 | + | 5.10745e8i | −0.394780 | + | 1.21501i | ||||
\(292\) | −1.40808e7 | + | 4.33363e7i | −0.0330970 | + | 0.101862i | ||||
\(293\) | −6.66220e8 | + | 4.84037e8i | −1.54732 | + | 1.12420i | −0.601797 | + | 0.798649i | \(0.705548\pi\) |
−0.945526 | + | 0.325547i | \(0.894452\pi\) | |||||||
\(294\) | −1.30072e8 | − | 9.45026e7i | −0.298516 | − | 0.216884i | ||||
\(295\) | 5.55166e7 | + | 1.70862e8i | 0.125906 | + | 0.387498i | ||||
\(296\) | −2.72099e8 | −0.609826 | ||||||||
\(297\) | −2.94811e7 | + | 4.74409e8i | −0.0652974 | + | 1.05076i | ||||
\(298\) | −5.01556e8 | −1.09790 | ||||||||
\(299\) | 3.15836e7 | + | 9.72042e7i | 0.0683301 | + | 0.210298i | ||||
\(300\) | 1.02384e8 | + | 7.43862e7i | 0.218931 | + | 0.159063i | ||||
\(301\) | −1.15370e8 | + | 8.38213e7i | −0.243843 | + | 0.177162i | ||||
\(302\) | −9.92562e7 | + | 3.05479e8i | −0.207364 | + | 0.638201i | ||||
\(303\) | 1.10840e8 | − | 3.41132e8i | 0.228902 | − | 0.704487i | ||||
\(304\) | −9.56746e7 | + | 6.95117e7i | −0.195317 | + | 0.141906i | ||||
\(305\) | 6.48242e7 | + | 4.70975e7i | 0.130824 | + | 0.0950493i | ||||
\(306\) | −3.80375e7 | − | 1.17067e8i | −0.0758904 | − | 0.233567i | ||||
\(307\) | −6.34750e8 | −1.25204 | −0.626020 | − | 0.779807i | \(-0.715317\pi\) | ||||
−0.626020 | + | 0.779807i | \(0.715317\pi\) | |||||||
\(308\) | −2.10590e7 | + | 3.38880e8i | −0.0410685 | + | 0.660874i | ||||
\(309\) | 6.50397e8 | 1.25408 | ||||||||
\(310\) | −9.87374e6 | − | 3.03882e7i | −0.0188242 | − | 0.0579348i | ||||
\(311\) | 2.50379e8 | + | 1.81911e8i | 0.471994 | + | 0.342924i | 0.798218 | − | 0.602369i | \(-0.205776\pi\) |
−0.326224 | + | 0.945293i | \(0.605776\pi\) | |||||||
\(312\) | 1.85575e7 | − | 1.34828e7i | 0.0345922 | − | 0.0251327i | ||||
\(313\) | 1.75984e8 | − | 5.41624e8i | 0.324391 | − | 0.998373i | −0.647324 | − | 0.762215i | \(-0.724112\pi\) |
0.971715 | − | 0.236158i | \(-0.0758882\pi\) | |||||||
\(314\) | 1.28363e8 | − | 3.95061e8i | 0.233984 | − | 0.720129i | ||||
\(315\) | −1.44571e8 | + | 1.05037e8i | −0.260612 | + | 0.189346i | ||||
\(316\) | 5.73713e7 | + | 4.16827e7i | 0.102280 | + | 0.0743106i | ||||
\(317\) | 1.35304e8 | + | 4.16423e8i | 0.238563 | + | 0.734221i | 0.996629 | + | 0.0820433i | \(0.0261446\pi\) |
−0.758066 | + | 0.652178i | \(0.773855\pi\) | |||||||
\(318\) | 2.01772e8 | 0.351857 | ||||||||
\(319\) | 2.81649e7 | − | 3.40989e7i | 0.0485782 | − | 0.0588129i | ||||
\(320\) | 3.42274e7 | 0.0583914 | ||||||||
\(321\) | −1.19999e8 | − | 3.69319e8i | −0.202493 | − | 0.623210i | ||||
\(322\) | −5.74484e8 | − | 4.17387e8i | −0.958920 | − | 0.696696i | ||||
\(323\) | −3.15584e8 | + | 2.29285e8i | −0.521082 | + | 0.378588i | ||||
\(324\) | −1.96857e7 | + | 6.05865e7i | −0.0321547 | + | 0.0989620i | ||||
\(325\) | 2.61179e7 | − | 8.03827e7i | 0.0422034 | − | 0.129889i | ||||
\(326\) | 3.73233e8 | − | 2.71169e8i | 0.596648 | − | 0.433490i | ||||
\(327\) | −5.53323e8 | − | 4.02013e8i | −0.875108 | − | 0.635804i | ||||
\(328\) | −3.93929e7 | − | 1.21239e8i | −0.0616396 | − | 0.189707i | ||||
\(329\) | 1.45276e9 | 2.24909 | ||||||||
\(330\) | −1.38843e8 | − | 5.48483e7i | −0.212679 | − | 0.0840165i | ||||
\(331\) | 2.39866e8 | 0.363555 | 0.181777 | − | 0.983340i | \(-0.441815\pi\) | ||||
0.181777 | + | 0.983340i | \(0.441815\pi\) | |||||||
\(332\) | −1.58447e8 | − | 4.87650e8i | −0.237630 | − | 0.731350i | ||||
\(333\) | −4.89639e8 | − | 3.55744e8i | −0.726644 | − | 0.527938i | ||||
\(334\) | 2.66401e8 | − | 1.93552e8i | 0.391222 | − | 0.284240i | ||||
\(335\) | −1.16814e8 | + | 3.59518e8i | −0.169762 | + | 0.522472i | ||||
\(336\) | −4.92476e7 | + | 1.51569e8i | −0.0708268 | + | 0.217983i | ||||
\(337\) | 7.86441e8 | − | 5.71383e8i | 1.11934 | − | 0.813247i | 0.135230 | − | 0.990814i | \(-0.456823\pi\) |
0.984109 | + | 0.177567i | \(0.0568226\pi\) | |||||||
\(338\) | 3.93723e8 | + | 2.86057e8i | 0.554603 | + | 0.402943i | ||||
\(339\) | −2.56341e8 | − | 7.88936e8i | −0.357371 | − | 1.09987i | ||||
\(340\) | 1.12899e8 | 0.155781 | ||||||||
\(341\) | −7.24436e7 | − | 1.13959e8i | −0.0989372 | − | 0.155635i | ||||
\(342\) | −2.63046e8 | −0.355582 | ||||||||
\(343\) | 7.53099e7 | + | 2.31780e8i | 0.100768 | + | 0.310132i | ||||
\(344\) | 4.91513e7 | + | 3.57105e7i | 0.0650999 | + | 0.0472978i | ||||
\(345\) | 2.52585e8 | − | 1.83514e8i | 0.331162 | − | 0.240603i | ||||
\(346\) | 4.92025e7 | − | 1.51430e8i | 0.0638588 | − | 0.196537i | ||||
\(347\) | −1.68468e8 | + | 5.18490e8i | −0.216453 | + | 0.666173i | 0.782594 | + | 0.622532i | \(0.213896\pi\) |
−0.999047 | + | 0.0436414i | \(0.986104\pi\) | |||||||
\(348\) | 1.67943e7 | − | 1.22018e7i | 0.0213616 | − | 0.0155201i | ||||
\(349\) | 3.14354e8 | + | 2.28392e8i | 0.395850 | + | 0.287602i | 0.767848 | − | 0.640632i | \(-0.221327\pi\) |
−0.371999 | + | 0.928233i | \(0.621327\pi\) | |||||||
\(350\) | 1.81460e8 | + | 5.58475e8i | 0.226226 | + | 0.696251i | ||||
\(351\) | 1.49002e8 | 0.183915 | ||||||||
\(352\) | 1.40080e8 | − | 3.60812e7i | 0.171189 | − | 0.0440942i | ||||
\(353\) | 3.13795e8 | 0.379694 | 0.189847 | − | 0.981814i | \(-0.439201\pi\) | ||||
0.189847 | + | 0.981814i | \(0.439201\pi\) | |||||||
\(354\) | 1.10127e8 | + | 3.38935e8i | 0.131942 | + | 0.406074i | ||||
\(355\) | −3.87272e8 | − | 2.81369e8i | −0.459427 | − | 0.333793i | ||||
\(356\) | −1.58682e8 | + | 1.15289e8i | −0.186403 | + | 0.135429i | ||||
\(357\) | −1.62444e8 | + | 4.99951e8i | −0.188958 | + | 0.581552i | ||||
\(358\) | −1.74382e8 | + | 5.36692e8i | −0.200868 | + | 0.618208i | ||||
\(359\) | −1.35295e8 | + | 9.82974e7i | −0.154330 | + | 0.112127i | −0.662270 | − | 0.749265i | \(-0.730407\pi\) |
0.507940 | + | 0.861392i | \(0.330407\pi\) | |||||||
\(360\) | 6.15918e7 | + | 4.47491e7i | 0.0695768 | + | 0.0505505i | ||||
\(361\) | −1.86245e7 | − | 5.73203e7i | −0.0208357 | − | 0.0641258i | ||||
\(362\) | 1.51314e8 | 0.167648 | ||||||||
\(363\) | −6.26050e8 | − | 7.81106e7i | −0.686967 | − | 0.0857111i | ||||
\(364\) | 1.06435e8 | 0.115673 | ||||||||
\(365\) | −2.87264e7 | − | 8.84109e7i | −0.0309212 | − | 0.0951658i | ||||
\(366\) | 1.28590e8 | + | 9.34262e7i | 0.137096 | + | 0.0996059i | ||||
\(367\) | −5.57645e7 | + | 4.05153e7i | −0.0588880 | + | 0.0427846i | −0.616840 | − | 0.787089i | \(-0.711587\pi\) |
0.557952 | + | 0.829873i | \(0.311587\pi\) | |||||||
\(368\) | −9.34854e7 | + | 2.87719e8i | −0.0977860 | + | 0.300954i | ||||
\(369\) | 8.76213e7 | − | 2.69671e8i | 0.0907857 | − | 0.279410i | ||||
\(370\) | 4.49095e8 | − | 3.26287e8i | 0.460928 | − | 0.334883i | ||||
\(371\) | 7.57431e8 | + | 5.50306e8i | 0.770078 | + | 0.559494i | ||||
\(372\) | −1.95863e7 | − | 6.02804e7i | −0.0197266 | − | 0.0607122i | ||||
\(373\) | −6.05815e8 | −0.604449 | −0.302224 | − | 0.953237i | \(-0.597729\pi\) | ||||
−0.302224 | + | 0.953237i | \(0.597729\pi\) | |||||||
\(374\) | 4.62055e8 | − | 1.19014e8i | 0.456712 | − | 0.117638i | ||||
\(375\) | −5.88430e8 | −0.576216 | ||||||||
\(376\) | −1.91257e8 | − | 5.88627e8i | −0.185549 | − | 0.571062i | ||||
\(377\) | −1.12162e7 | − | 8.14903e6i | −0.0107808 | − | 0.00783269i | ||||
\(378\) | −8.37513e8 | + | 6.08489e8i | −0.797573 | + | 0.579470i | ||||
\(379\) | 5.40324e7 | − | 1.66295e8i | 0.0509820 | − | 0.156906i | −0.922324 | − | 0.386417i | \(-0.873713\pi\) |
0.973306 | + | 0.229511i | \(0.0737126\pi\) | |||||||
\(380\) | 7.45548e7 | − | 2.29456e8i | 0.0697000 | − | 0.214515i | ||||
\(381\) | −8.16199e8 | + | 5.93003e8i | −0.756064 | + | 0.549313i | ||||
\(382\) | −2.07807e8 | − | 1.50981e8i | −0.190739 | − | 0.138580i | ||||
\(383\) | −3.20870e8 | − | 9.87537e8i | −0.291832 | − | 0.898168i | −0.984267 | − | 0.176687i | \(-0.943462\pi\) |
0.692435 | − | 0.721481i | \(-0.256538\pi\) | |||||||
\(384\) | 6.78960e7 | 0.0611906 | ||||||||
\(385\) | −3.71610e8 | − | 5.84569e8i | −0.331875 | − | 0.522064i | ||||
\(386\) | 4.28866e8 | 0.379547 | ||||||||
\(387\) | 4.17591e7 | + | 1.28521e8i | 0.0366237 | + | 0.112716i | ||||
\(388\) | 8.58858e8 | + | 6.23997e8i | 0.746467 | + | 0.542340i | ||||
\(389\) | −3.91828e8 | + | 2.84680e8i | −0.337499 | + | 0.245207i | −0.743606 | − | 0.668618i | \(-0.766886\pi\) |
0.406107 | + | 0.913826i | \(0.366886\pi\) | |||||||
\(390\) | −1.44610e7 | + | 4.45063e7i | −0.0123444 | + | 0.0379923i | ||||
\(391\) | −3.08363e8 | + | 9.49043e8i | −0.260881 | + | 0.802911i | ||||
\(392\) | −2.57127e8 | + | 1.86814e8i | −0.215599 | + | 0.156642i | ||||
\(393\) | −1.11675e9 | − | 8.11368e8i | −0.928074 | − | 0.674285i | ||||
\(394\) | −2.88117e8 | − | 8.86733e8i | −0.237319 | − | 0.730392i | ||||
\(395\) | −1.44674e8 | −0.118114 | ||||||||
\(396\) | 2.99245e8 | + | 1.18213e8i | 0.242155 | + | 0.0956607i | ||||
\(397\) | −2.46863e9 | −1.98011 | −0.990056 | − | 0.140674i | \(-0.955073\pi\) | ||||
−0.990056 | + | 0.140674i | \(0.955073\pi\) | |||||||
\(398\) | 4.81326e8 | + | 1.48137e9i | 0.382692 | + | 1.17780i | ||||
\(399\) | 9.08824e8 | + | 6.60299e8i | 0.716267 | + | 0.520398i | ||||
\(400\) | 2.02394e8 | − | 1.47048e8i | 0.158120 | − | 0.114881i | ||||
\(401\) | 6.45919e7 | − | 1.98793e8i | 0.0500234 | − | 0.153956i | −0.922924 | − | 0.384981i | \(-0.874208\pi\) |
0.972948 | + | 0.231025i | \(0.0742079\pi\) | |||||||
\(402\) | −2.31722e8 | + | 7.13166e8i | −0.177900 | + | 0.547519i | ||||
\(403\) | −3.42460e7 | + | 2.48812e7i | −0.0260641 | + | 0.0189367i | ||||
\(404\) | −5.73639e8 | − | 4.16773e8i | −0.432817 | − | 0.314460i | ||||
\(405\) | −4.01611e7 | − | 1.23603e8i | −0.0300409 | − | 0.0924565i | ||||
\(406\) | 9.63226e7 | 0.0714311 | ||||||||
\(407\) | 1.49402e9 | − | 1.80879e9i | 1.09844 | − | 1.32986i | ||||
\(408\) | 2.23956e8 | 0.163249 | ||||||||
\(409\) | 5.72328e8 | + | 1.76144e9i | 0.413631 | + | 1.27303i | 0.913470 | + | 0.406907i | \(0.133393\pi\) |
−0.499839 | + | 0.866119i | \(0.666607\pi\) | |||||||
\(410\) | 2.10401e8 | + | 1.52865e8i | 0.150766 | + | 0.109538i | ||||
\(411\) | 3.58792e7 | − | 2.60678e7i | 0.0254916 | − | 0.0185207i | ||||
\(412\) | 3.97307e8 | − | 1.22279e9i | 0.279889 | − | 0.861410i | ||||
\(413\) | −5.10995e8 | + | 1.57268e9i | −0.356937 | + | 1.09854i | ||||
\(414\) | −5.44391e8 | + | 3.95523e8i | −0.377059 | + | 0.273950i | ||||
\(415\) | 8.46279e8 | + | 6.14858e8i | 0.581226 | + | 0.422286i | ||||
\(416\) | −1.40123e7 | − | 4.31254e7i | −0.00954295 | − | 0.0293702i | ||||
\(417\) | 1.63569e9 | 1.10465 | ||||||||
\(418\) | 6.32408e7 | − | 1.01767e9i | 0.0423527 | − | 0.681537i | ||||
\(419\) | 5.37641e8 | 0.357062 | 0.178531 | − | 0.983934i | \(-0.442866\pi\) | ||||
0.178531 | + | 0.983934i | \(0.442866\pi\) | |||||||
\(420\) | −1.00471e8 | − | 3.09217e8i | −0.0661708 | − | 0.203653i | ||||
\(421\) | 3.08599e8 | + | 2.24210e8i | 0.201561 | + | 0.146443i | 0.683987 | − | 0.729494i | \(-0.260244\pi\) |
−0.482426 | + | 0.875937i | \(0.660244\pi\) | |||||||
\(422\) | −5.06499e8 | + | 3.67993e8i | −0.328084 | + | 0.238367i | ||||
\(423\) | 4.25410e8 | − | 1.30928e9i | 0.273286 | − | 0.841087i | ||||
\(424\) | 1.23256e8 | − | 3.79344e8i | 0.0785288 | − | 0.241687i | ||||
\(425\) | 6.67598e8 | − | 4.85038e8i | 0.421846 | − | 0.306489i | ||||
\(426\) | −7.68221e8 | − | 5.58145e8i | −0.481452 | − | 0.349795i | ||||
\(427\) | 2.27906e8 | + | 7.01424e8i | 0.141664 | + | 0.435996i | ||||
\(428\) | −7.67646e8 | −0.473269 | ||||||||
\(429\) | −1.22665e7 | + | 1.97392e8i | −0.00750100 | + | 0.120706i | ||||
\(430\) | −1.23946e8 | −0.0751781 | ||||||||
\(431\) | −5.62883e8 | − | 1.73238e9i | −0.338647 | − | 1.04225i | −0.964897 | − | 0.262627i | \(-0.915411\pi\) |
0.626250 | − | 0.779622i | \(-0.284589\pi\) | |||||||
\(432\) | 3.56807e8 | + | 2.59235e8i | 0.212931 | + | 0.154704i | ||||
\(433\) | 1.64159e9 | − | 1.19268e9i | 0.971755 | − | 0.706021i | 0.0159038 | − | 0.999874i | \(-0.494937\pi\) |
0.955851 | + | 0.293852i | \(0.0949374\pi\) | |||||||
\(434\) | 9.08816e7 | − | 2.79705e8i | 0.0533657 | − | 0.164243i | ||||
\(435\) | −1.30870e7 | + | 4.02777e7i | −0.00762304 | + | 0.0234613i | ||||
\(436\) | −1.09382e9 | + | 7.94704e8i | −0.632036 | + | 0.459201i | ||||
\(437\) | 1.72520e9 | + | 1.25343e9i | 0.988903 | + | 0.718480i | ||||
\(438\) | −5.69839e7 | − | 1.75378e8i | −0.0324036 | − | 0.0997280i | ||||
\(439\) | −2.50280e8 | −0.141189 | −0.0705944 | − | 0.997505i | \(-0.522490\pi\) | ||||
−0.0705944 | + | 0.997505i | \(0.522490\pi\) | |||||||
\(440\) | −1.87933e8 | + | 2.27528e8i | −0.105176 | + | 0.127336i | ||||
\(441\) | −7.06940e8 | −0.392507 | ||||||||
\(442\) | −4.62197e7 | − | 1.42250e8i | −0.0254595 | − | 0.0783562i | ||||
\(443\) | 1.35047e9 | + | 9.81175e8i | 0.738027 | + | 0.536208i | 0.892093 | − | 0.451853i | \(-0.149237\pi\) |
−0.154066 | + | 0.988061i | \(0.549237\pi\) | |||||||
\(444\) | 8.90859e8 | − | 6.47247e8i | 0.483024 | − | 0.350937i | ||||
\(445\) | 1.23653e8 | − | 3.80566e8i | 0.0665190 | − | 0.204724i | ||||
\(446\) | 1.89711e8 | − | 5.83871e8i | 0.101256 | − | 0.311634i | ||||
\(447\) | 1.64211e9 | − | 1.19306e9i | 0.869610 | − | 0.631809i | ||||
\(448\) | 2.54874e8 | + | 1.85177e8i | 0.133922 | + | 0.0973003i | ||||
\(449\) | −1.07014e9 | − | 3.29355e9i | −0.557929 | − | 1.71713i | −0.688081 | − | 0.725634i | \(-0.741547\pi\) |
0.130152 | − | 0.991494i | \(-0.458453\pi\) | |||||||
\(450\) | 5.56456e8 | 0.287864 | ||||||||
\(451\) | 1.02224e9 | + | 4.03823e8i | 0.524726 | + | 0.207287i | ||||
\(452\) | −1.63984e9 | −0.835250 | ||||||||
\(453\) | −4.01682e8 | − | 1.23625e9i | −0.203020 | − | 0.624831i | ||||
\(454\) | −3.37316e8 | − | 2.45074e8i | −0.169177 | − | 0.122914i | ||||
\(455\) | −1.75670e8 | + | 1.27632e8i | −0.0874294 | + | 0.0635212i | ||||
\(456\) | 1.47892e8 | − | 4.55166e8i | 0.0730414 | − | 0.224798i | ||||
\(457\) | −1.18309e9 | + | 3.64118e9i | −0.579845 | + | 1.78458i | 0.0392085 | + | 0.999231i | \(0.487516\pi\) |
−0.619054 | + | 0.785349i | \(0.712484\pi\) | |||||||
\(458\) | −6.16238e8 | + | 4.47723e8i | −0.299722 | + | 0.217761i | ||||
\(459\) | 1.17693e9 | + | 8.55090e8i | 0.568076 | + | 0.412731i | ||||
\(460\) | −1.90721e8 | − | 5.86978e8i | −0.0913578 | − | 0.281170i | ||||
\(461\) | −1.40758e9 | −0.669143 | −0.334572 | − | 0.942370i | \(-0.608592\pi\) | ||||
−0.334572 | + | 0.942370i | \(0.608592\pi\) | |||||||
\(462\) | −7.37153e8 | − | 1.15959e9i | −0.347785 | − | 0.547091i | ||||
\(463\) | −1.55804e9 | −0.729532 | −0.364766 | − | 0.931099i | \(-0.618851\pi\) | ||||
−0.364766 | + | 0.931099i | \(0.618851\pi\) | |||||||
\(464\) | −1.26810e7 | − | 3.90280e7i | −0.00589304 | − | 0.0181369i | ||||
\(465\) | 1.04612e8 | + | 7.60050e7i | 0.0482498 | + | 0.0350556i | ||||
\(466\) | −2.68319e8 | + | 1.94945e8i | −0.122829 | + | 0.0892405i | ||||
\(467\) | 3.20806e7 | − | 9.87339e7i | 0.0145758 | − | 0.0448598i | −0.943504 | − | 0.331361i | \(-0.892492\pi\) |
0.958080 | + | 0.286501i | \(0.0924922\pi\) | |||||||
\(468\) | 3.11674e7 | − | 9.59235e7i | 0.0140553 | − | 0.0432578i | ||||
\(469\) | −2.81492e9 | + | 2.04516e9i | −1.25997 | + | 0.915424i | ||||
\(470\) | 1.02152e9 | + | 7.42176e8i | 0.453840 | + | 0.329734i | ||||
\(471\) | 5.19475e8 | + | 1.59878e9i | 0.229082 | + | 0.705043i | ||||
\(472\) | 7.04492e8 | 0.308375 | ||||||||
\(473\) | −5.07262e8 | + | 1.30659e8i | −0.220404 | + | 0.0567707i | ||||
\(474\) | −2.86986e8 | −0.123776 | ||||||||
\(475\) | −5.44930e8 | − | 1.67712e9i | −0.233299 | − | 0.718021i | ||||
\(476\) | 8.40706e8 | + | 6.10808e8i | 0.357289 | + | 0.259586i | ||||
\(477\) | 7.17755e8 | − | 5.21480e8i | 0.302804 | − | 0.220000i | ||||
\(478\) | −2.13308e8 | + | 6.56495e8i | −0.0893326 | + | 0.274938i | ||||
\(479\) | −6.05751e8 | + | 1.86431e9i | −0.251837 | + | 0.775076i | 0.742599 | + | 0.669736i | \(0.233593\pi\) |
−0.994436 | + | 0.105339i | \(0.966407\pi\) | |||||||
\(480\) | −1.12061e8 | + | 8.14173e7i | −0.0462500 | + | 0.0336026i | ||||
\(481\) | −5.94966e8 | − | 4.32268e8i | −0.243772 | − | 0.177111i | ||||
\(482\) | −3.36511e8 | − | 1.03567e9i | −0.136878 | − | 0.421268i | ||||
\(483\) | 2.87372e9 | 1.16046 | ||||||||
\(484\) | −5.29287e8 | + | 1.12930e9i | −0.212194 | + | 0.452740i | ||||
\(485\) | −2.16580e9 | −0.862028 | ||||||||
\(486\) | 5.02486e8 | + | 1.54649e9i | 0.198562 | + | 0.611112i | ||||
\(487\) | 1.41052e9 | + | 1.02480e9i | 0.553385 | + | 0.402058i | 0.829032 | − | 0.559201i | \(-0.188892\pi\) |
−0.275647 | + | 0.961259i | \(0.588892\pi\) | |||||||
\(488\) | 2.54199e8 | − | 1.84686e8i | 0.0990157 | − | 0.0719391i | ||||
\(489\) | −5.76937e8 | + | 1.77563e9i | −0.223125 | + | 0.686707i | ||||
\(490\) | 2.00367e8 | − | 6.16667e8i | 0.0769380 | − | 0.236791i | ||||
\(491\) | 6.17985e6 | − | 4.48992e6i | 0.00235609 | − | 0.00171180i | −0.586607 | − | 0.809872i | \(-0.699536\pi\) |
0.588963 | + | 0.808160i | \(0.299536\pi\) | |||||||
\(492\) | 4.17367e8 | + | 3.03235e8i | 0.157994 | + | 0.114789i | ||||
\(493\) | −4.18283e7 | − | 1.28734e8i | −0.0157219 | − | 0.0483871i | ||||
\(494\) | −3.19629e8 | −0.119289 | ||||||||
\(495\) | −6.35654e8 | + | 1.63729e8i | −0.235561 | + | 0.0606748i | ||||
\(496\) | −1.25295e8 | −0.0461051 | ||||||||
\(497\) | −1.36156e9 | − | 4.19044e9i | −0.497494 | − | 1.53113i | ||||
\(498\) | 1.67874e9 | + | 1.21968e9i | 0.609090 | + | 0.442530i | ||||
\(499\) | −2.21957e9 | + | 1.61261e9i | −0.799681 | + | 0.581002i | −0.910821 | − | 0.412802i | \(-0.864550\pi\) |
0.111139 | + | 0.993805i | \(0.464550\pi\) | |||||||
\(500\) | −3.59453e8 | + | 1.10628e9i | −0.128602 | + | 0.395796i | ||||
\(501\) | −4.11799e8 | + | 1.26739e9i | −0.146303 | + | 0.450274i | ||||
\(502\) | 3.08423e8 | − | 2.24082e8i | 0.108814 | − | 0.0790577i | ||||
\(503\) | −1.50991e9 | − | 1.09701e9i | −0.529008 | − | 0.384347i | 0.290978 | − | 0.956730i | \(-0.406019\pi\) |
−0.819987 | + | 0.572383i | \(0.806019\pi\) | |||||||
\(504\) | 2.16542e8 | + | 6.66448e8i | 0.0753417 | + | 0.231878i | ||||
\(505\) | 1.44656e9 | 0.499822 | ||||||||
\(506\) | −1.39932e9 | − | 2.20123e9i | −0.480164 | − | 0.755333i | ||||
\(507\) | −1.96951e9 | −0.671166 | ||||||||
\(508\) | 6.16292e8 | + | 1.89675e9i | 0.208576 | + | 0.641930i | ||||
\(509\) | −3.48384e9 | − | 2.53116e9i | −1.17097 | − | 0.850760i | −0.179846 | − | 0.983695i | \(-0.557560\pi\) |
−0.991125 | + | 0.132934i | \(0.957560\pi\) | |||||||
\(510\) | −3.69636e8 | + | 2.68556e8i | −0.123389 | + | 0.0896477i | ||||
\(511\) | 2.64409e8 | − | 8.13768e8i | 0.0876604 | − | 0.269791i | ||||
\(512\) | 4.14756e7 | − | 1.27649e8i | 0.0136568 | − | 0.0420312i | ||||
\(513\) | 2.51508e9 | − | 1.82731e9i | 0.822511 | − | 0.597589i | ||||
\(514\) | 6.25190e8 | + | 4.54227e8i | 0.203068 | + | 0.147537i | ||||
\(515\) | 8.10551e8 | + | 2.49462e9i | 0.261490 | + | 0.804783i | ||||
\(516\) | −2.45868e8 | −0.0787821 | ||||||||
\(517\) | 4.96306e9 | + | 1.96060e9i | 1.57955 | + | 0.623982i | ||||
\(518\) | 5.10947e9 | 1.61518 | ||||||||
\(519\) | 1.99118e8 | + | 6.12823e8i | 0.0625209 | + | 0.192420i | ||||
\(520\) | 7.48409e7 | + | 5.43751e7i | 0.0233414 | + | 0.0169585i | ||||
\(521\) | −1.34933e9 | + | 9.80345e8i | −0.418009 | + | 0.303701i | −0.776836 | − | 0.629703i | \(-0.783177\pi\) |
0.358827 | + | 0.933404i | \(0.383177\pi\) | |||||||
\(522\) | 2.82061e7 | − | 8.68096e7i | 0.00867955 | − | 0.0267129i | ||||
\(523\) | 1.53830e9 | − | 4.73439e9i | 0.470201 | − | 1.44713i | −0.382120 | − | 0.924113i | \(-0.624806\pi\) |
0.852322 | − | 0.523018i | \(-0.175194\pi\) | |||||||
\(524\) | −2.20761e9 | + | 1.60392e9i | −0.670290 | + | 0.486994i | ||||
\(525\) | −1.92256e9 | − | 1.39682e9i | −0.579859 | − | 0.421292i | ||||
\(526\) | −1.33478e9 | − | 4.10802e9i | −0.399907 | − | 1.23079i | ||||
\(527\) | −4.13288e8 | −0.123003 | ||||||||
\(528\) | −3.72798e8 | + | 4.51341e8i | −0.110218 | + | 0.133440i | ||||
\(529\) | 2.05028e9 | 0.602170 | ||||||||
\(530\) | 2.51457e8 | + | 7.73905e8i | 0.0733665 | + | 0.225799i | ||||
\(531\) | 1.26773e9 | + | 9.21057e8i | 0.367447 | + | 0.266966i | ||||
\(532\) | 1.79658e9 | − | 1.30529e9i | 0.517315 | − | 0.375851i | ||||
\(533\) | 1.06470e8 | − | 3.27680e8i | 0.0304565 | − | 0.0937355i | ||||
\(534\) | 2.45288e8 | − | 7.54919e8i | 0.0697079 | − | 0.214539i | ||||
\(535\) | 1.26699e9 | − | 9.20521e8i | 0.357713 | − | 0.259894i | ||||
\(536\) | 1.19924e9 | + | 8.71302e8i | 0.336380 | + | 0.244395i | ||||
\(537\) | −7.05709e8 | − | 2.17195e9i | −0.196660 | − | 0.605257i | ||||
\(538\) | 2.40648e9 | 0.666261 | ||||||||
\(539\) | 1.69961e8 | − | 2.73500e9i | 0.0467507 | − | 0.752311i | ||||
\(540\) | −8.99765e8 | −0.245896 | ||||||||
\(541\) | 1.29459e9 | + | 3.98433e9i | 0.351513 | + | 1.08185i | 0.958004 | + | 0.286755i | \(0.0925766\pi\) |
−0.606491 | + | 0.795090i | \(0.707423\pi\) | |||||||
\(542\) | −1.66948e9 | − | 1.21295e9i | −0.450384 | − | 0.327223i | ||||
\(543\) | −4.95406e8 | + | 3.59933e8i | −0.132789 | + | 0.0964767i | ||||
\(544\) | 1.36808e8 | − | 4.21050e8i | 0.0364346 | − | 0.112134i | ||||
\(545\) | 8.52360e8 | − | 2.62330e9i | 0.225546 | − | 0.694160i | ||||
\(546\) | −3.48472e8 | + | 2.53180e8i | −0.0916207 | + | 0.0665663i | ||||
\(547\) | −5.30576e9 | − | 3.85486e9i | −1.38609 | − | 1.00705i | −0.996281 | − | 0.0861586i | \(-0.972541\pi\) |
−0.389810 | − | 0.920895i | \(-0.627459\pi\) | |||||||
\(548\) | −2.70915e7 | − | 8.33791e7i | −0.00703236 | − | 0.0216434i | ||||
\(549\) | 6.98888e8 | 0.180262 | ||||||||
\(550\) | −1.33782e8 | + | 2.15281e9i | −0.0342869 | + | 0.551744i | ||||
\(551\) | −2.89260e8 | −0.0736645 | ||||||||
\(552\) | −3.78328e8 | − | 1.16437e9i | −0.0957374 | − | 0.294649i | ||||
\(553\) | −1.07732e9 | − | 7.82716e8i | −0.270898 | − | 0.196819i | ||||
\(554\) | −2.86889e9 | + | 2.08437e9i | −0.716852 | + | 0.520823i | ||||
\(555\) | −6.94205e8 | + | 2.13654e9i | −0.172370 | + | 0.530501i | ||||
\(556\) | 9.99193e8 | − | 3.07520e9i | 0.246540 | − | 0.758772i | ||||
\(557\) | 1.63925e9 | − | 1.19099e9i | 0.401932 | − | 0.292020i | −0.368396 | − | 0.929669i | \(-0.620093\pi\) |
0.770327 | + | 0.637649i | \(0.220093\pi\) | |||||||
\(558\) | −2.25468e8 | − | 1.63812e8i | −0.0549370 | − | 0.0399141i | ||||
\(559\) | 5.07419e7 | + | 1.56167e8i | 0.0122864 | + | 0.0378137i | ||||
\(560\) | −6.42721e8 | −0.154655 | ||||||||
\(561\) | −1.22968e9 | + | 1.48875e9i | −0.294050 | + | 0.356002i | ||||
\(562\) | 4.91716e9 | 1.16852 | ||||||||
\(563\) | 2.15464e8 | + | 6.63129e8i | 0.0508855 | + | 0.156610i | 0.973270 | − | 0.229663i | \(-0.0737624\pi\) |
−0.922385 | + | 0.386273i | \(0.873762\pi\) | |||||||
\(564\) | 2.02636e9 | + | 1.47224e9i | 0.475597 | + | 0.345542i | ||||
\(565\) | 2.70653e9 | − | 1.96641e9i | 0.631311 | − | 0.458674i | ||||
\(566\) | 5.57313e8 | − | 1.71523e9i | 0.129194 | − | 0.397618i | ||||
\(567\) | 3.69658e8 | − | 1.13769e9i | 0.0851647 | − | 0.262110i | ||||
\(568\) | −1.51863e9 | + | 1.10335e9i | −0.347723 | + | 0.252635i | ||||
\(569\) | 2.90461e9 | + | 2.11032e9i | 0.660989 | + | 0.480237i | 0.866997 | − | 0.498314i | \(-0.166047\pi\) |
−0.206008 | + | 0.978550i | \(0.566047\pi\) | |||||||
\(570\) | 3.01717e8 | + | 9.28590e8i | 0.0682398 | + | 0.210021i | ||||
\(571\) | 2.88290e9 | 0.648042 | 0.324021 | − | 0.946050i | \(-0.394965\pi\) | ||||
0.324021 | + | 0.946050i | \(0.394965\pi\) | |||||||
\(572\) | 3.63615e8 | + | 1.43642e8i | 0.0812374 | + | 0.0320919i | ||||
\(573\) | 1.03951e9 | 0.230827 | ||||||||
\(574\) | 7.39719e8 | + | 2.27662e9i | 0.163258 | + | 0.502457i | ||||
\(575\) | −3.64954e9 | − | 2.65155e9i | −0.800573 | − | 0.581651i | ||||
\(576\) | 2.41523e8 | − | 1.75477e8i | 0.0526600 | − | 0.0382597i | ||||
\(577\) | −2.25559e9 | + | 6.94198e9i | −0.488815 | + | 1.50442i | 0.337565 | + | 0.941302i | \(0.390397\pi\) |
−0.826379 | + | 0.563114i | \(0.809603\pi\) | |||||||
\(578\) | −5.63152e8 | + | 1.73320e9i | −0.121305 | + | 0.373338i | ||||
\(579\) | −1.40412e9 | + | 1.02015e9i | −0.300627 | + | 0.218419i | ||||
\(580\) | 6.77300e7 | + | 4.92088e7i | 0.0144140 | + | 0.0104724i | ||||
\(581\) | 2.97531e9 | + | 9.15708e9i | 0.629385 | + | 1.93705i | ||||
\(582\) | −4.29624e9 | −0.903353 | ||||||||
\(583\) | 1.84494e9 | + | 2.90222e9i | 0.385604 | + | 0.606584i | ||||
\(584\) | −3.64532e8 | −0.0757340 | ||||||||
\(585\) | 6.35851e7 | + | 1.95695e8i | 0.0131314 | + | 0.0404142i | ||||
\(586\) | −5.32976e9 | − | 3.87230e9i | −1.09412 | − | 0.794927i | ||||
\(587\) | −8.44558e8 | + | 6.13607e8i | −0.172344 | + | 0.125215i | −0.670613 | − | 0.741807i | \(-0.733969\pi\) |
0.498269 | + | 0.867022i | \(0.333969\pi\) | |||||||
\(588\) | 3.97464e8 | − | 1.22327e9i | 0.0806263 | − | 0.248142i | ||||
\(589\) | −2.72921e8 | + | 8.39964e8i | −0.0550343 | + | 0.169378i | ||||
\(590\) | −1.16275e9 | + | 8.44790e8i | −0.233080 | + | 0.169343i | ||||
\(591\) | 3.05259e9 | + | 2.21784e9i | 0.608292 | + | 0.441950i | ||||
\(592\) | −6.72666e8 | − | 2.07025e9i | −0.133252 | − | 0.410107i | ||||
\(593\) | −6.96907e9 | −1.37241 | −0.686204 | − | 0.727409i | \(-0.740724\pi\) | ||||
−0.686204 | + | 0.727409i | \(0.740724\pi\) | |||||||
\(594\) | −3.68240e9 | + | 9.48498e8i | −0.720905 | + | 0.185688i | ||||
\(595\) | −2.12002e9 | −0.412602 | ||||||||
\(596\) | −1.23991e9 | − | 3.81606e9i | −0.239900 | − | 0.738335i | ||||
\(597\) | −5.09964e9 | − | 3.70510e9i | −0.980910 | − | 0.712673i | ||||
\(598\) | −6.61495e8 | + | 4.80604e8i | −0.126495 | + | 0.0919038i | ||||
\(599\) | −1.61399e9 | + | 4.96735e9i | −0.306837 | + | 0.944346i | 0.672149 | + | 0.740416i | \(0.265372\pi\) |
−0.978985 | + | 0.203930i | \(0.934628\pi\) | |||||||
\(600\) | −3.12857e8 | + | 9.62875e8i | −0.0591312 | + | 0.181987i | ||||
\(601\) | 5.50926e9 | − | 4.00271e9i | 1.03522 | − | 0.752131i | 0.0658730 | − | 0.997828i | \(-0.479017\pi\) |
0.969347 | + | 0.245697i | \(0.0790168\pi\) | |||||||
\(602\) | −9.22961e8 | − | 6.70570e8i | −0.172423 | − | 0.125273i | ||||
\(603\) | 1.01888e9 | + | 3.13580e9i | 0.189240 | + | 0.582421i | ||||
\(604\) | −2.56960e9 | −0.474500 | ||||||||
\(605\) | −4.80613e8 | − | 2.49858e9i | −0.0882371 | − | 0.458722i | ||||
\(606\) | 2.86950e9 | 0.523783 | ||||||||
\(607\) | 3.30794e8 | + | 1.01808e9i | 0.0600340 | + | 0.184766i | 0.976576 | − | 0.215173i | \(-0.0690315\pi\) |
−0.916542 | + | 0.399938i | \(0.869032\pi\) | |||||||
\(608\) | −7.65397e8 | − | 5.56094e8i | −0.138110 | − | 0.100343i | ||||
\(609\) | −3.15363e8 | + | 2.29124e8i | −0.0565783 | + | 0.0411065i | ||||
\(610\) | −1.98085e8 | + | 6.09643e8i | −0.0353344 | + | 0.108748i | ||||
\(611\) | 5.16920e8 | − | 1.59092e9i | 0.0916810 | − | 0.282165i | ||||
\(612\) | 7.96668e8 | − | 5.78813e8i | 0.140491 | − | 0.102072i | ||||
\(613\) | 3.46212e9 | + | 2.51537e9i | 0.607058 | + | 0.441053i | 0.848377 | − | 0.529393i | \(-0.177580\pi\) |
−0.241319 | + | 0.970446i | \(0.577580\pi\) | |||||||
\(614\) | −1.56919e9 | − | 4.82946e9i | −0.273581 | − | 0.841995i | ||||
\(615\) | −1.05248e9 | −0.182453 | ||||||||
\(616\) | −2.63041e9 | + | 6.77531e8i | −0.453410 | + | 0.116788i | ||||
\(617\) | 5.99720e9 | 1.02790 | 0.513949 | − | 0.857821i | \(-0.328182\pi\) | ||||
0.513949 | + | 0.857821i | \(0.328182\pi\) | |||||||
\(618\) | 1.60787e9 | + | 4.94851e9i | 0.274025 | + | 0.843364i | ||||
\(619\) | −5.88254e9 | − | 4.27391e9i | −0.996890 | − | 0.724283i | −0.0354712 | − | 0.999371i | \(-0.511293\pi\) |
−0.961419 | + | 0.275087i | \(0.911293\pi\) | |||||||
\(620\) | 2.06798e8 | − | 1.50248e8i | 0.0348478 | − | 0.0253184i | ||||
\(621\) | 2.45753e9 | − | 7.56351e9i | 0.411793 | − | 1.26737i | ||||
\(622\) | −7.65090e8 | + | 2.35471e9i | −0.127481 | + | 0.392347i | ||||
\(623\) | 2.97972e9 | − | 2.16489e9i | 0.493705 | − | 0.358698i | ||||
\(624\) | 1.48460e8 | + | 1.07862e8i | 0.0244604 | + | 0.0177715i | ||||
\(625\) | 7.41198e8 | + | 2.28117e9i | 0.121438 | + | 0.373748i | ||||
\(626\) | 4.55598e9 | 0.742286 | ||||||||
\(627\) | 2.21370e9 | + | 3.48231e9i | 0.358659 | + | 0.564197i | ||||
\(628\) | 3.32313e9 | 0.535413 | ||||||||
\(629\) | −2.21880e9 | − | 6.82875e9i | −0.355500 | − | 1.09412i | ||||
\(630\) | −1.15657e9 | − | 8.40297e8i | −0.184281 | − | 0.133888i | ||||
\(631\) | 6.57613e8 | − | 4.77784e8i | 0.104200 | − | 0.0757058i | −0.534465 | − | 0.845191i | \(-0.679487\pi\) |
0.638665 | + | 0.769485i | \(0.279487\pi\) | |||||||
\(632\) | −1.75311e8 | + | 5.39552e8i | −0.0276248 | + | 0.0850205i | ||||
\(633\) | 7.82938e8 | − | 2.40964e9i | 0.122692 | − | 0.377606i | ||||
\(634\) | −2.83384e9 | + | 2.05891e9i | −0.441635 | + | 0.320867i | ||||
\(635\) | −3.29167e9 | − | 2.39154e9i | −0.510162 | − | 0.370654i | ||||
\(636\) | 4.98808e8 | + | 1.53517e9i | 0.0768836 | + | 0.236624i | ||||
\(637\) | −8.59009e8 | −0.131677 | ||||||||
\(638\) | 3.29067e8 | + | 1.29994e8i | 0.0501663 | + | 0.0198177i | ||||
\(639\) | −4.17528e9 | −0.633043 | ||||||||
\(640\) | 8.46148e7 | + | 2.60418e8i | 0.0127590 | + | 0.0392681i | ||||
\(641\) | 7.42710e9 | + | 5.39611e9i | 1.11382 | + | 0.809240i | 0.983261 | − | 0.182200i | \(-0.0583219\pi\) |
0.130562 | + | 0.991440i | \(0.458322\pi\) | |||||||
\(642\) | 2.51329e9 | − | 1.82601e9i | 0.374861 | − | 0.272353i | ||||
\(643\) | 2.11543e9 | − | 6.51062e9i | 0.313805 | − | 0.965793i | −0.662438 | − | 0.749116i | \(-0.730478\pi\) |
0.976243 | − | 0.216676i | \(-0.0695216\pi\) | |||||||
\(644\) | 1.75547e9 | − | 5.40277e9i | 0.258995 | − | 0.797106i | ||||
\(645\) | 4.05801e8 | − | 2.94832e8i | 0.0595462 | − | 0.0432628i | ||||
\(646\) | −2.52467e9 | − | 1.83428e9i | −0.368461 | − | 0.267702i | ||||
\(647\) | 3.62950e9 | + | 1.11704e10i | 0.526843 | + | 1.62146i | 0.760642 | + | 0.649172i | \(0.224884\pi\) |
−0.233799 | + | 0.972285i | \(0.575116\pi\) | |||||||
\(648\) | −5.09635e8 | −0.0735778 | ||||||||
\(649\) | −3.86817e9 | + | 4.68314e9i | −0.555455 | + | 0.672481i | ||||
\(650\) | 6.76155e8 | 0.0965717 | ||||||||
\(651\) | 3.67790e8 | + | 1.13194e9i | 0.0522477 | + | 0.160802i | ||||
\(652\) | 2.98586e9 | + | 2.16936e9i | 0.421894 | + | 0.306524i | ||||
\(653\) | 4.87060e9 | − | 3.53870e9i | 0.684520 | − | 0.497333i | −0.190334 | − | 0.981719i | \(-0.560957\pi\) |
0.874854 | + | 0.484386i | \(0.160957\pi\) | |||||||
\(654\) | 1.69081e9 | − | 5.20377e9i | 0.236359 | − | 0.727437i | ||||
\(655\) | 1.72029e9 | − | 5.29450e9i | 0.239197 | − | 0.736174i | ||||
\(656\) | 8.25056e8 | − | 5.99438e8i | 0.114109 | − | 0.0829051i | ||||
\(657\) | −6.55971e8 | − | 4.76591e8i | −0.0902415 | − | 0.0655643i | ||||
\(658\) | 3.59141e9 | + | 1.10532e10i | 0.491444 | + | 1.51251i | ||||
\(659\) | −9.59456e9 | −1.30595 | −0.652974 | − | 0.757380i | \(-0.726479\pi\) | ||||
−0.652974 | + | 0.757380i | \(0.726479\pi\) | |||||||
\(660\) | 7.40724e7 | − | 1.19197e9i | 0.0100289 | − | 0.161385i | ||||
\(661\) | 5.99941e9 | 0.807985 | 0.403993 | − | 0.914762i | \(-0.367622\pi\) | ||||
0.403993 | + | 0.914762i | \(0.367622\pi\) | |||||||
\(662\) | 5.92980e8 | + | 1.82501e9i | 0.0794396 | + | 0.244490i | ||||
\(663\) | 4.89697e8 | + | 3.55785e8i | 0.0652574 | + | 0.0474123i | ||||
\(664\) | 3.31856e9 | − | 2.41107e9i | 0.439907 | − | 0.319611i | ||||
\(665\) | −1.39999e9 | + | 4.30872e9i | −0.184607 | + | 0.568162i | ||||
\(666\) | 1.49621e9 | − | 4.60485e9i | 0.196260 | − | 0.604025i | ||||
\(667\) | −5.98645e8 | + | 4.34941e8i | −0.0781140 | + | 0.0567531i | ||||
\(668\) | 2.13121e9 | + | 1.54841e9i | 0.276636 | + | 0.200988i | ||||
\(669\) | 7.67746e8 | + | 2.36288e9i | 0.0991348 | + | 0.305106i | ||||
\(670\) | −3.02415e9 | −0.388456 | ||||||||
\(671\) | −1.68025e8 | + | 2.70385e9i | −0.0214707 | + | 0.345505i | ||||
\(672\) | −1.27495e9 | −0.162069 | ||||||||
\(673\) | −2.68055e9 | − | 8.24987e9i | −0.338977 | − | 1.04326i | −0.964730 | − | 0.263243i | \(-0.915208\pi\) |
0.625752 | − | 0.780022i | \(-0.284792\pi\) | |||||||
\(674\) | 6.29153e9 | + | 4.57106e9i | 0.791492 | + | 0.575053i | ||||
\(675\) | −5.32050e9 | + | 3.86557e9i | −0.665869 | + | 0.483782i | ||||
\(676\) | −1.20311e9 | + | 3.70280e9i | −0.149793 | + | 0.461016i | ||||
\(677\) | 7.64238e8 | − | 2.35208e9i | 0.0946603 | − | 0.291335i | −0.892505 | − | 0.451038i | \(-0.851054\pi\) |
0.987165 | + | 0.159704i | \(0.0510538\pi\) | |||||||
\(678\) | 5.36887e9 | − | 3.90072e9i | 0.661575 | − | 0.480663i | ||||
\(679\) | −1.61276e10 | − | 1.17174e10i | −1.97709 | − | 1.43644i | ||||
\(680\) | 2.79103e8 | + | 8.58990e8i | 0.0340395 | + | 0.104763i | ||||
\(681\) | 1.68734e9 | 0.204733 | ||||||||
\(682\) | 6.87961e8 | − | 8.32906e8i | 0.0830460 | − | 0.100543i | ||||
\(683\) | 6.47279e9 | 0.777355 | 0.388677 | − | 0.921374i | \(-0.372932\pi\) | ||||
0.388677 | + | 0.921374i | \(0.372932\pi\) | |||||||
\(684\) | −6.50284e8 | − | 2.00137e9i | −0.0776975 | − | 0.239128i | ||||
\(685\) | 1.44698e8 | + | 1.05129e8i | 0.0172007 | + | 0.0124970i | ||||
\(686\) | −1.57731e9 | + | 1.14598e9i | −0.186545 | + | 0.135533i | ||||
\(687\) | 9.52571e8 | − | 2.93171e9i | 0.112085 | − | 0.344963i | ||||
\(688\) | −1.50193e8 | + | 4.62246e8i | −0.0175829 | + | 0.0541145i | ||||
\(689\) | 8.72152e8 | − | 6.33655e8i | 0.101584 | − | 0.0738050i | ||||
\(690\) | 2.02068e9 | + | 1.46811e9i | 0.234167 | + | 0.170132i | ||||
\(691\) | −3.62923e9 | − | 1.11696e10i | −0.418448 | − | 1.28785i | −0.909130 | − | 0.416512i | \(-0.863252\pi\) |
0.490682 | − | 0.871339i | \(-0.336748\pi\) | |||||||
\(692\) | 1.27378e9 | 0.146125 | ||||||||
\(693\) | −5.61921e9 | − | 2.21981e9i | −0.641370 | − | 0.253366i | ||||
\(694\) | −4.36138e9 | −0.495297 | ||||||||
\(695\) | 2.03847e9 | + | 6.27375e9i | 0.230333 | + | 0.708893i | ||||
\(696\) | 1.34354e8 | + | 9.76142e7i | 0.0151050 | + | 0.0109744i | ||||
\(697\) | 2.72146e9 | − | 1.97725e9i | 0.304429 | − | 0.221181i | ||||
\(698\) | −9.60581e8 | + | 2.95636e9i | −0.106915 | + | 0.329051i | ||||
\(699\) | 4.14764e8 | − | 1.27651e9i | 0.0459336 | − | 0.141369i | ||||
\(700\) | −3.80054e9 | + | 2.76125e9i | −0.418796 | + | 0.304273i | ||||
\(701\) | 5.94755e9 | + | 4.32115e9i | 0.652116 | + | 0.473790i | 0.863991 | − | 0.503506i | \(-0.167957\pi\) |
−0.211875 | + | 0.977297i | \(0.567957\pi\) | |||||||
\(702\) | 3.68354e8 | + | 1.13368e9i | 0.0401869 | + | 0.123683i | ||||
\(703\) | −1.53439e10 | −1.66568 | ||||||||
\(704\) | 6.20818e8 | + | 9.76593e8i | 0.0670595 | + | 0.105489i | ||||
\(705\) | −5.10990e9 | −0.549225 | ||||||||
\(706\) | 7.75743e8 | + | 2.38749e9i | 0.0829663 | + | 0.255344i | ||||
\(707\) | 1.07718e10 | + | 7.82616e9i | 1.14636 | + | 0.832876i | ||||
\(708\) | −2.30652e9 | + | 1.67579e9i | −0.244254 | + | 0.177461i | ||||
\(709\) | 1.83597e9 | − | 5.65055e9i | 0.193466 | − | 0.595427i | −0.806525 | − | 0.591200i | \(-0.798654\pi\) |
0.999991 | − | 0.00422723i | \(-0.00134557\pi\) | |||||||
\(710\) | 1.18340e9 | − | 3.64212e9i | 0.124087 | − | 0.381901i | ||||
\(711\) | −1.02088e9 | + | 7.41715e8i | −0.106520 | + | 0.0773916i | ||||
\(712\) | −1.26945e9 | − | 9.22313e8i | −0.131807 | − | 0.0957631i | ||||
\(713\) | 6.98167e8 | + | 2.14874e9i | 0.0721350 | + | 0.222009i | ||||
\(714\) | −4.20543e9 | −0.432381 | ||||||||
\(715\) | −7.72390e8 | + | 1.98949e8i | −0.0790252 | + | 0.0203550i | ||||
\(716\) | −4.51449e9 | −0.459635 | ||||||||
\(717\) | −8.63241e8 | − | 2.65678e9i | −0.0874611 | − | 0.269178i | ||||
\(718\) | −1.08236e9 | − | 7.86380e8i | −0.109128 | − | 0.0792860i | ||||
\(719\) | −2.89701e9 | + | 2.10480e9i | −0.290669 | + | 0.211183i | −0.723558 | − | 0.690264i | \(-0.757494\pi\) |
0.432889 | + | 0.901447i | \(0.357494\pi\) | |||||||
\(720\) | −1.88208e8 | + | 5.79244e8i | −0.0187921 | + | 0.0578360i | ||||
\(721\) | −7.46062e9 | + | 2.29614e10i | −0.741312 | + | 2.28153i | ||||
\(722\) | 3.90076e8 | − | 2.83407e8i | 0.0385717 | − | 0.0280240i | ||||
\(723\) | 3.56532e9 | + | 2.59036e9i | 0.350844 | + | 0.254903i | ||||
\(724\) | 3.74069e8 | + | 1.15126e9i | 0.0366325 | + | 0.112743i | ||||
\(725\) | 6.11912e8 | 0.0596357 | ||||||||
\(726\) | −9.53379e8 | − | 4.95637e9i | −0.0924672 | − | 0.480713i | ||||
\(727\) | −4.43149e9 | −0.427740 | −0.213870 | − | 0.976862i | \(-0.568607\pi\) | ||||
−0.213870 | + | 0.976862i | \(0.568607\pi\) | |||||||
\(728\) | 2.63123e8 | + | 8.09808e8i | 0.0252754 | + | 0.0777897i | ||||
\(729\) | −7.08497e9 | − | 5.14753e9i | −0.677316 | − | 0.492099i | ||||
\(730\) | 6.01655e8 | − | 4.37128e8i | 0.0572423 | − | 0.0415890i | ||||
\(731\) | −4.95413e8 | + | 1.52472e9i | −0.0469090 | + | 0.144371i | ||||
\(732\) | −3.92936e8 | + | 1.20933e9i | −0.0370283 | + | 0.113961i | ||||
\(733\) | 3.50172e8 | − | 2.54415e8i | 0.0328411 | − | 0.0238605i | −0.571244 | − | 0.820781i | \(-0.693539\pi\) |
0.604085 | + | 0.796920i | \(0.293539\pi\) | |||||||
\(734\) | −4.46116e8 | − | 3.24122e8i | −0.0416401 | − | 0.0302533i | ||||
\(735\) | 8.10870e8 | + | 2.49560e9i | 0.0753261 | + | 0.231830i | ||||
\(736\) | −2.42020e9 | −0.223758 | ||||||||
\(737\) | −1.23767e10 | + | 3.18794e9i | −1.13886 | + | 0.293342i | ||||
\(738\) | 2.26839e9 | 0.207740 | ||||||||
\(739\) | 5.64555e9 | + | 1.73752e10i | 0.514577 | + | 1.58371i | 0.784050 | + | 0.620697i | \(0.213150\pi\) |
−0.269473 | + | 0.963008i | \(0.586850\pi\) | |||||||
\(740\) | 3.59276e9 | + | 2.61030e9i | 0.325925 | + | 0.236798i | ||||
\(741\) | 1.04647e9 | − | 7.60308e8i | 0.0944854 | − | 0.0686477i | ||||
\(742\) | −2.31450e9 | + | 7.12331e9i | −0.207991 | + | 0.640130i | ||||
\(743\) | 2.29194e9 | − | 7.05388e9i | 0.204995 | − | 0.630910i | −0.794719 | − | 0.606978i | \(-0.792382\pi\) |
0.999714 | − | 0.0239316i | \(-0.00761840\pi\) | |||||||
\(744\) | 4.10220e8 | − | 2.98043e8i | 0.0365184 | − | 0.0265322i | ||||
\(745\) | 6.62248e9 | + | 4.81151e9i | 0.586778 | + | 0.426319i | ||||
\(746\) | −1.49766e9 | − | 4.60932e9i | −0.132077 | − | 0.406491i | ||||
\(747\) | 9.12397e9 | 0.800869 | ||||||||
\(748\) | 2.04778e9 | + | 3.22130e9i | 0.178907 | + | 0.281433i | ||||
\(749\) | 1.44148e10 | 1.25350 | ||||||||
\(750\) | −1.45468e9 | − | 4.47704e9i | −0.125908 | − | 0.387504i | ||||
\(751\) | 4.51095e9 | + | 3.27740e9i | 0.388623 | + | 0.282351i | 0.764891 | − | 0.644160i | \(-0.222793\pi\) |
−0.376268 | + | 0.926511i | \(0.622793\pi\) | |||||||
\(752\) | 4.00573e9 | − | 2.91033e9i | 0.343494 | − | 0.249563i | ||||
\(753\) | −4.76755e8 | + | 1.46730e9i | −0.0406924 | + | 0.125238i | ||||
\(754\) | 3.42736e7 | − | 1.05483e8i | 0.00291179 | − | 0.00896156i | ||||
\(755\) | 4.24108e9 | − | 3.08133e9i | 0.358643 | − | 0.260570i | ||||
\(756\) | −6.70010e9 | − | 4.86791e9i | −0.563969 | − | 0.409747i | ||||
\(757\) | −3.47079e9 | − | 1.06820e10i | −0.290799 | − | 0.894988i | −0.984600 | − | 0.174821i | \(-0.944065\pi\) |
0.693801 | − | 0.720167i | \(-0.255935\pi\) | |||||||
\(758\) | 1.39882e9 | 0.116659 | ||||||||
\(759\) | 9.81750e9 | + | 3.87830e9i | 0.814995 | + | 0.321955i | ||||
\(760\) | 1.93011e9 | 0.159491 | ||||||||
\(761\) | −5.50749e9 | − | 1.69503e10i | −0.453010 | − | 1.39422i | −0.873456 | − | 0.486903i | \(-0.838126\pi\) |
0.420446 | − | 0.907317i | \(-0.361874\pi\) | |||||||
\(762\) | −6.52959e9 | − | 4.74403e9i | −0.534618 | − | 0.388423i | ||||
\(763\) | 2.05397e10 | − | 1.49229e10i | 1.67401 | − | 1.21624i | ||||
\(764\) | 6.35002e8 | − | 1.95434e9i | 0.0515168 | − | 0.158552i | ||||
\(765\) | −6.20806e8 | + | 1.91064e9i | −0.0501350 | + | 0.154300i | ||||
\(766\) | 6.72039e9 | − | 4.88265e9i | 0.540249 | − | 0.392514i | ||||
\(767\) | 1.54043e9 | + | 1.11919e9i | 0.123270 | + | 0.0895609i | ||||
\(768\) | 1.67848e8 | + | 5.16584e8i | 0.0133706 | + | 0.0411506i | ||||
\(769\) | −4.95220e9 | −0.392696 | −0.196348 | − | 0.980534i | \(-0.562908\pi\) | ||||
−0.196348 | + | 0.980534i | \(0.562908\pi\) | |||||||
\(770\) | 3.52900e9 | − | 4.27251e9i | 0.278570 | − | 0.337260i | ||||
\(771\) | −3.12737e9 | −0.245747 | ||||||||
\(772\) | 1.06021e9 | + | 3.26301e9i | 0.0829341 | + | 0.255245i | ||||
\(773\) | −5.95318e9 | − | 4.32524e9i | −0.463576 | − | 0.336808i | 0.331357 | − | 0.943506i | \(-0.392494\pi\) |
−0.794932 | + | 0.606698i | \(0.792494\pi\) | |||||||
\(774\) | −8.74614e8 | + | 6.35444e8i | −0.0677990 | + | 0.0492588i | ||||
\(775\) | 5.77347e8 | − | 1.77689e9i | 0.0445534 | − | 0.137121i | ||||
\(776\) | −2.62444e9 | + | 8.07718e9i | −0.201614 | + | 0.620503i | ||||
\(777\) | −1.67285e10 | + | 1.21540e10i | −1.27933 | + | 0.929491i | ||||
\(778\) | −3.13463e9 | − | 2.27744e9i | −0.238648 | − | 0.173388i | ||||
\(779\) | −2.22140e9 | − | 6.83678e9i | −0.168363 | − | 0.518168i | ||||
\(780\) | −3.74374e8 | −0.0282471 | ||||||||
\(781\) | 1.00381e9 | − | 1.61533e10i | 0.0754005 | − | 1.21334i | ||||
\(782\) | −7.98306e9 | −0.596961 | ||||||||
\(783\) | 3.33355e8 | + | 1.02596e9i | 0.0248165 | + | 0.0763775i | ||||
\(784\) | −2.05702e9 | − | 1.49451e9i | −0.152452 | − | 0.110763i | ||||
\(785\) | −5.48478e9 | + | 3.98493e9i | −0.404684 | + | 0.294020i | ||||
\(786\) | 3.41249e9 | − | 1.05026e10i | 0.250664 | − | 0.771465i | ||||
\(787\) | −5.64937e8 | + | 1.73870e9i | −0.0413132 | + | 0.127149i | −0.969586 | − | 0.244751i | \(-0.921294\pi\) |
0.928273 | + | 0.371900i | \(0.121294\pi\) | |||||||
\(788\) | 6.03440e9 | − | 4.38425e9i | 0.439331 | − | 0.319193i | ||||
\(789\) | 1.41419e10 | + | 1.02747e10i | 1.02504 | + | 0.744732i | ||||
\(790\) | −3.57654e8 | − | 1.10075e9i | −0.0258088 | − | 0.0794314i | ||||
\(791\) | 3.07928e10 | 2.21224 | ||||||||
\(792\) | −1.59647e8 | + | 2.56903e9i | −0.0114188 | + | 0.183752i | ||||
\(793\) | 8.49225e8 | 0.0604737 | ||||||||
\(794\) | −6.10280e9 | − | 1.87825e10i | −0.432670 | − | 1.33162i | ||||
\(795\) | −2.66418e9 | − | 1.93564e9i | −0.188052 | − | 0.136628i | ||||
\(796\) | −1.00810e10 | + | 7.32430e9i | −0.708450 | + | 0.514719i | ||||
\(797\) | −1.56309e7 | + | 4.81070e7i | −0.00109365 | + | 0.00336592i | −0.951602 | − | 0.307334i | \(-0.900563\pi\) |
0.950508 | + | 0.310699i | \(0.100563\pi\) | |||||||
\(798\) | −2.77712e9 | + | 8.54709e9i | −0.193457 | + | 0.595399i | ||||
\(799\) | 1.32129e10 | − | 9.59977e9i | 0.916402 | − | 0.665805i | ||||
\(800\) | 1.61915e9 | + | 1.17638e9i | 0.111808 | + | 0.0812331i | ||||
\(801\) | −1.07853e9 | − | 3.31938e9i | −0.0741515 | − | 0.228215i | ||||
\(802\) | 1.67219e9 | 0.114466 | ||||||||
\(803\) | 2.00154e9 | − | 2.42324e9i | 0.136414 | − | 0.165155i | ||||
\(804\) | −5.99894e9 | −0.407078 | ||||||||
\(805\) | 3.58135e9 | + | 1.10223e10i | 0.241970 | + | 0.744706i | ||||
\(806\) | −2.73968e8 | − | 1.99050e8i | −0.0184301 | − | 0.0133902i | ||||
\(807\) | −7.87887e9 | + | 5.72434e9i | −0.527724 | + | 0.383414i | ||||
\(808\) | 1.75289e9 | − | 5.39483e9i | 0.116900 | − | 0.359781i | ||||
\(809\) | −3.00115e9 | + | 9.23660e9i | −0.199282 | + | 0.613327i | 0.800618 | + | 0.599175i | \(0.204505\pi\) |
−0.999900 | + | 0.0141518i | \(0.995495\pi\) | |||||||
\(810\) | 8.41146e8 | − | 6.11128e8i | 0.0556127 | − | 0.0404050i | ||||
\(811\) | −3.21882e9 | − | 2.33861e9i | −0.211896 | − | 0.153952i | 0.476775 | − | 0.879025i | \(-0.341806\pi\) |
−0.688671 | + | 0.725074i | \(0.741806\pi\) | |||||||
\(812\) | 2.38123e8 | + | 7.32866e8i | 0.0156083 | + | 0.0480373i | ||||
\(813\) | 8.35116e9 | 0.545042 | ||||||||
\(814\) | 1.74555e10 | + | 6.89560e9i | 1.13435 | + | 0.448112i | ||||
\(815\) | −7.52950e9 | −0.487208 | ||||||||
\(816\) | 5.53649e8 | + | 1.70396e9i | 0.0356713 | + | 0.109785i | ||||
\(817\) | 2.77169e9 | + | 2.01375e9i | 0.177814 | + | 0.129190i | ||||
\(818\) | −1.19870e10 | + | 8.70906e9i | −0.765726 | + | 0.556333i | ||||
\(819\) | −5.85261e8 | + | 1.80125e9i | −0.0372268 | + | 0.114572i | ||||
\(820\) | −6.42928e8 | + | 1.97873e9i | −0.0407206 | + | 0.125325i | ||||
\(821\) | −1.99985e10 | + | 1.45298e10i | −1.26124 | + | 0.916344i | −0.998818 | − | 0.0486096i | \(-0.984521\pi\) |
−0.262421 | + | 0.964953i | \(0.584521\pi\) | |||||||
\(822\) | 2.87034e8 | + | 2.08542e8i | 0.0180253 | + | 0.0130961i | ||||
\(823\) | −4.35565e9 | − | 1.34053e10i | −0.272366 | − | 0.838257i | −0.989904 | − | 0.141738i | \(-0.954731\pi\) |
0.717538 | − | 0.696519i | \(-0.245269\pi\) | |||||||
\(824\) | 1.02857e10 | 0.640455 | ||||||||
\(825\) | −4.68294e9 | − | 7.36660e9i | −0.290355 | − | 0.456750i | ||||
\(826\) | −1.32289e10 | −0.816760 | ||||||||
\(827\) | 5.54827e9 | + | 1.70758e10i | 0.341105 | + | 1.04981i | 0.963636 | + | 0.267219i | \(0.0861047\pi\) |
−0.622530 | + | 0.782596i | \(0.713895\pi\) | |||||||
\(828\) | −4.35513e9 | − | 3.16419e9i | −0.266621 | − | 0.193712i | ||||
\(829\) | 1.40345e9 | − | 1.01966e9i | 0.0855570 | − | 0.0621608i | −0.544184 | − | 0.838966i | \(-0.683161\pi\) |
0.629741 | + | 0.776805i | \(0.283161\pi\) | |||||||
\(830\) | −2.58600e9 | + | 7.95888e9i | −0.156984 | + | 0.483147i | ||||
\(831\) | 4.43468e9 | − | 1.36486e10i | 0.268077 | − | 0.825055i | ||||
\(832\) | 2.93477e8 | − | 2.13224e8i | 0.0176662 | − | 0.0128352i | ||||
\(833\) | −6.78510e9 | − | 4.92966e9i | −0.406723 | − | 0.295501i | ||||
\(834\) | 4.04365e9 | + | 1.24451e10i | 0.241375 | + | 0.742876i | ||||
\(835\) | −5.37431e9 | −0.319462 | ||||||||
\(836\) | 7.89923e9 | − | 2.03465e9i | 0.467587 | − | 0.120439i | ||||
\(837\) | 3.29375e9 | 0.194156 | ||||||||
\(838\) | 1.32912e9 | + | 4.09061e9i | 0.0780208 | + | 0.240123i | ||||
\(839\) | 3.42752e9 | + | 2.49024e9i | 0.200361 | + | 0.145571i | 0.683442 | − | 0.730005i | \(-0.260482\pi\) |
−0.483081 | + | 0.875576i | \(0.660482\pi\) | |||||||
\(840\) | 2.10428e9 | − | 1.52885e9i | 0.122497 | − | 0.0889996i | ||||
\(841\) | −5.29949e9 | + | 1.63101e10i | −0.307219 | + | 0.945523i | ||||
\(842\) | −9.42994e8 | + | 2.90224e9i | −0.0544398 | + | 0.167548i | ||||
\(843\) | −1.60989e10 | + | 1.16965e10i | −0.925551 | + | 0.672452i | ||||
\(844\) | −4.05199e9 | − | 2.94394e9i | −0.231990 | − | 0.168551i | ||||
\(845\) | −2.45448e9 | − | 7.55412e9i | −0.139946 | − | 0.430710i | ||||
\(846\) | 1.10133e10 | 0.625345 | ||||||||
\(847\) | 9.93893e9 | − | 2.12059e10i | 0.562015 | − | 1.19913i | ||||
\(848\) | 3.19093e9 | 0.179693 | ||||||||
\(849\) | 2.25540e9 | + | 6.94141e9i | 0.126487 | + | 0.389288i | ||||
\(850\) | 5.34078e9 | + | 3.88030e9i | 0.298290 | + | 0.216720i | ||||
\(851\) | −3.17553e10 | + | 2.30716e10i | −1.76629 | + | 1.28329i | ||||
\(852\) | 2.34748e9 | − | 7.22479e9i | 0.130036 | − | 0.400209i | ||||
\(853\) | −1.27517e9 | + | 3.92457e9i | −0.0703472 | + | 0.216506i | −0.980049 | − | 0.198755i | \(-0.936310\pi\) |
0.909702 | + | 0.415262i | \(0.136310\pi\) | |||||||
\(854\) | −4.77333e9 | + | 3.46803e9i | −0.262252 | + | 0.190537i | ||||
\(855\) | 3.47322e9 | + | 2.52344e9i | 0.190043 | + | 0.138074i | ||||
\(856\) | −1.89773e9 | − | 5.84060e9i | −0.103413 | − | 0.318273i | ||||
\(857\) | −1.30313e9 | −0.0707221 | −0.0353611 | − | 0.999375i | \(-0.511258\pi\) | ||||
−0.0353611 | + | 0.999375i | \(0.511258\pi\) | |||||||
\(858\) | −1.53217e9 | + | 3.94650e8i | −0.0828136 | + | 0.0213308i | ||||
\(859\) | −1.28413e10 | −0.691249 | −0.345624 | − | 0.938373i | \(-0.612333\pi\) | ||||
−0.345624 | + | 0.938373i | \(0.612333\pi\) | |||||||
\(860\) | −3.06410e8 | − | 9.43034e8i | −0.0164270 | − | 0.0505572i | ||||
\(861\) | −7.83730e9 | − | 5.69413e9i | −0.418461 | − | 0.304030i | ||||
\(862\) | 1.17892e10 | − | 8.56534e9i | 0.626914 | − | 0.455480i | ||||
\(863\) | 9.22065e8 | − | 2.83782e9i | 0.0488342 | − | 0.150296i | −0.923666 | − | 0.383199i | \(-0.874822\pi\) |
0.972500 | + | 0.232903i | \(0.0748224\pi\) | |||||||
\(864\) | −1.09030e9 | + | 3.35561e9i | −0.0575108 | + | 0.177000i | ||||
\(865\) | −2.10235e9 | + | 1.52745e9i | −0.110446 | + | 0.0802436i | ||||
\(866\) | 1.31327e10 | + | 9.54147e9i | 0.687134 | + | 0.499232i | ||||
\(867\) | −2.27903e9 | − | 7.01413e9i | −0.118763 | − | 0.365516i | ||||
\(868\) | 2.35279e9 | 0.122114 | ||||||||
\(869\) | −2.62411e9 | − | 4.12791e9i | −0.135648 | − | 0.213384i | ||||
\(870\) | −3.38804e8 | −0.0174434 | ||||||||
\(871\) | 1.23805e9 | + | 3.81034e9i | 0.0634857 | + | 0.195389i | ||||
\(872\) | −8.75054e9 | − | 6.35764e9i | −0.446917 | − | 0.324704i | ||||
\(873\) | −1.52828e10 | + | 1.11036e10i | −0.777416 | + | 0.564825i | ||||
\(874\) | −5.27173e9 | + | 1.62247e10i | −0.267093 | + | 0.822029i | ||||
\(875\) | 6.74980e9 | − | 2.07738e10i | 0.340614 | − | 1.04830i | ||||
\(876\) | 1.19349e9 | − | 8.67119e8i | 0.0599865 | − | 0.0435827i | ||||
\(877\) | 7.09951e8 | + | 5.15810e8i | 0.0355410 | + | 0.0258221i | 0.605414 | − | 0.795911i | \(-0.293008\pi\) |
−0.569873 | + | 0.821733i | \(0.693008\pi\) | |||||||
\(878\) | −6.18726e8 | − | 1.90424e9i | −0.0308509 | − | 0.0949492i | ||||
\(879\) | 2.66609e10 | 1.32408 | ||||||||
\(880\) | −2.19573e9 | − | 8.67399e8i | −0.108615 | − | 0.0429071i | ||||
\(881\) | −2.29360e10 | −1.13006 | −0.565029 | − | 0.825071i | \(-0.691135\pi\) | ||||
−0.565029 | + | 0.825071i | \(0.691135\pi\) | |||||||
\(882\) | −1.74765e9 | − | 5.37872e9i | −0.0857659 | − | 0.263960i | ||||
\(883\) | 2.55508e10 | + | 1.85637e10i | 1.24894 | + | 0.907407i | 0.998160 | − | 0.0606368i | \(-0.0193132\pi\) |
0.250779 | + | 0.968044i | \(0.419313\pi\) | |||||||
\(884\) | 9.68039e8 | − | 7.03321e8i | 0.0471313 | − | 0.0342429i | ||||
\(885\) | 1.79737e9 | − | 5.53173e9i | 0.0871636 | − | 0.268262i | ||||
\(886\) | −4.12667e9 | + | 1.27006e10i | −0.199334 | + | 0.613488i | ||||
\(887\) | −2.57080e10 | + | 1.86780e10i | −1.23690 | + | 0.898663i | −0.997388 | − | 0.0722295i | \(-0.976989\pi\) |
−0.239516 | + | 0.970893i | \(0.576989\pi\) | |||||||
\(888\) | 7.12687e9 | + | 5.17798e9i | 0.341550 | + | 0.248150i | ||||
\(889\) | −1.15727e10 | − | 3.56171e10i | −0.552432 | − | 1.70021i | ||||
\(890\) | 3.20120e9 | 0.152212 | ||||||||
\(891\) | 2.79826e9 | − | 3.38782e9i | 0.132531 | − | 0.160453i | ||||
\(892\) | 4.91135e9 | 0.231699 | ||||||||
\(893\) | −1.07851e10 | − | 3.31932e10i | −0.506811 | − | 1.55980i | ||||
\(894\) | 1.31368e10 | + | 9.54448e9i | 0.614907 | + | 0.446756i | ||||
\(895\) | 7.45110e9 | − | 5.41354e9i | 0.347408 | − | 0.252407i | ||||
\(896\) | −7.78827e8 | + | 2.39698e9i | −0.0361712 | + | 0.111323i | ||||
\(897\) | 1.02253e9 | − | 3.14702e9i | 0.0473045 | − | 0.145588i | ||||
\(898\) | 2.24133e10 | − | 1.62842e10i | 1.03285 | − | 0.750412i | ||||
\(899\) | −2.47938e8 | − | 1.80137e8i | −0.0113811 | − | 0.00826884i | ||||
\(900\) | 1.37564e9 | + | 4.23377e9i | 0.0629006 | + | 0.193588i | ||||
\(901\) | 1.05253e10 | 0.479400 | ||||||||
\(902\) | −5.45361e8 | + | 8.77593e9i | −0.0247435 | + | 0.398172i | ||||
\(903\) | 4.61689e9 | 0.208662 | ||||||||
\(904\) | −4.05391e9 | − | 1.24766e10i | −0.182509 | − | 0.561705i | ||||
\(905\) | −1.99793e9 | − | 1.45158e9i | −0.0896005 | − | 0.0650986i | ||||
\(906\) | 8.41293e9 | − | 6.11235e9i | 0.375836 | − | 0.273061i | ||||
\(907\) | 3.73818e9 | − | 1.15049e10i | 0.166355 | − | 0.511987i | −0.832779 | − | 0.553605i | \(-0.813252\pi\) |
0.999134 | + | 0.0416190i | \(0.0132516\pi\) | |||||||
\(908\) | 1.03074e9 | − | 3.17231e9i | 0.0456931 | − | 0.140629i | ||||
\(909\) | 1.02075e10 | − | 7.41620e9i | 0.450762 | − | 0.327498i | ||||
\(910\) | −1.40536e9 | − | 1.02105e9i | −0.0618219 | − | 0.0449162i | ||||
\(911\) | −3.68351e9 | − | 1.13367e10i | −0.161416 | − | 0.496788i | 0.837338 | − | 0.546685i | \(-0.184111\pi\) |
−0.998754 | + | 0.0498971i | \(0.984111\pi\) | |||||||
\(912\) | 3.82872e9 | 0.167137 | ||||||||
\(913\) | −2.19356e9 | + | 3.52988e10i | −0.0953900 | + | 1.53501i | ||||
\(914\) | −3.06285e10 | −1.32683 | ||||||||
\(915\) | −8.01634e8 | − | 2.46718e9i | −0.0345941 | − | 0.106470i | ||||
\(916\) | −4.92990e9 | − | 3.58178e9i | −0.211936 | − | 0.153980i | ||||
\(917\) | 4.14544e10 | − | 3.01184e10i | 1.77533 | − | 1.28985i | ||||
\(918\) | −3.59638e9 | + | 1.10685e10i | −0.153432 | + | 0.472215i | ||||
\(919\) | −3.32800e9 | + | 1.02425e10i | −0.141442 | + | 0.435314i | −0.996536 | − | 0.0831586i | \(-0.973499\pi\) |
0.855094 | + | 0.518473i | \(0.173499\pi\) | |||||||
\(920\) | 3.99451e9 | − | 2.90218e9i | 0.169124 | − | 0.122876i | ||||
\(921\) | 1.66255e10 | + | 1.20791e10i | 0.701238 | + | 0.509480i | ||||
\(922\) | −3.47972e9 | − | 1.07095e10i | −0.146213 | − | 0.449998i | ||||
\(923\) | −5.07343e9 | −0.212371 | ||||||||
\(924\) | 7.00038e9 | − | 8.47527e9i | 0.291924 | − | 0.353428i | ||||
\(925\) | 3.24591e10 | 1.34847 | ||||||||
\(926\) | −3.85168e9 | − | 1.18543e10i | −0.159409 | − | 0.490609i | ||||
\(927\) | 1.85090e10 | + | 1.34476e10i | 0.763140 | + | 0.554454i | ||||
\(928\) | 2.65593e8 | − | 1.92965e8i | 0.0109094 | − | 0.00792612i | ||||
\(929\) | 6.84976e9 | − | 2.10814e10i | 0.280298 | − | 0.862669i | −0.707470 | − | 0.706743i | \(-0.750164\pi\) |
0.987769 | − | 0.155926i | \(-0.0498362\pi\) | |||||||
\(930\) | −3.19666e8 | + | 9.83830e8i | −0.0130318 | + | 0.0401079i | ||||
\(931\) | −1.44997e10 | + | 1.05346e10i | −0.588889 | + | 0.427853i | ||||
\(932\) | −2.14655e9 | − | 1.55956e9i | −0.0868533 | − | 0.0631026i | ||||
\(933\) | −3.09626e9 | − | 9.52930e9i | −0.124811 | − | 0.384127i | ||||
\(934\) | 8.30520e8 | 0.0333531 | ||||||||
\(935\) | −7.24264e9 | − | 2.86112e9i | −0.289772 | − | 0.114471i | ||||
\(936\) | 8.06880e8 | 0.0321620 | ||||||||
\(937\) | 1.35254e10 | + | 4.16269e10i | 0.537108 | + | 1.65305i | 0.739049 | + | 0.673652i | \(0.235275\pi\) |
−0.201941 | + | 0.979398i | \(0.564725\pi\) | |||||||
\(938\) | −2.25194e10 | − | 1.63613e10i | −0.890935 | − | 0.647302i | ||||
\(939\) | −1.49164e10 | + | 1.08374e10i | −0.587941 | + | 0.427164i | ||||
\(940\) | −3.12148e9 | + | 9.60692e9i | −0.122578 | + | 0.377257i | ||||
\(941\) | −9.08109e9 | + | 2.79487e10i | −0.355283 | + | 1.09345i | 0.600562 | + | 0.799578i | \(0.294944\pi\) |
−0.955845 | + | 0.293871i | \(0.905056\pi\) | |||||||
\(942\) | −1.08800e10 | + | 7.90480e9i | −0.424084 | + | 0.308115i | ||||
\(943\) | −1.48773e10 | − | 1.08090e10i | −0.577742 | − | 0.419754i | ||||
\(944\) | 1.74160e9 | + | 5.36009e9i | 0.0673824 | + | 0.207382i | ||||
\(945\) | 1.68958e10 | 0.651278 | ||||||||
\(946\) | −2.24813e9 | − | 3.53647e9i | −0.0863381 | − | 0.135816i | ||||
\(947\) | 1.10450e10 | 0.422612 | 0.211306 | − | 0.977420i | \(-0.432228\pi\) | ||||
0.211306 | + | 0.977420i | \(0.432228\pi\) | |||||||
\(948\) | −7.09469e8 | − | 2.18352e9i | −0.0270461 | − | 0.0832393i | ||||
\(949\) | −7.97077e8 | − | 5.79111e8i | −0.0302739 | − | 0.0219953i | ||||
\(950\) | 1.14132e10 | − | 8.29215e9i | 0.431890 | − | 0.313787i | ||||
\(951\) | 4.38051e9 | − | 1.34818e10i | 0.165156 | − | 0.508296i | ||||
\(952\) | −2.56897e9 | + | 7.90647e9i | −0.0965005 | + | 0.296998i | ||||
\(953\) | 3.02857e9 | − | 2.20039e9i | 0.113348 | − | 0.0823519i | −0.529667 | − | 0.848205i | \(-0.677683\pi\) |
0.643015 | + | 0.765854i | \(0.277683\pi\) | |||||||
\(954\) | 5.74204e9 | + | 4.17184e9i | 0.214115 | + | 0.155564i | ||||
\(955\) | 1.29548e9 | + | 3.98706e9i | 0.0481302 | + | 0.148129i | ||||
\(956\) | −5.52224e9 | −0.204415 | ||||||||
\(957\) | −1.38659e9 | + | 3.57154e8i | −0.0511397 | + | 0.0131724i | ||||
\(958\) | −1.56820e10 | −0.576266 | ||||||||
\(959\) | 5.08724e8 | + | 1.56569e9i | 0.0186259 | + | 0.0573245i | ||||
\(960\) | −8.96491e8 | − | 6.51339e8i | −0.0327037 | − | 0.0237606i | ||||
\(961\) | 2.15012e10 | − | 1.56215e10i | 0.781502 | − | 0.567794i | ||||
\(962\) | 1.81805e9 | − | 5.59539e9i | 0.0658406 | − | 0.202637i | ||||
\(963\) | 4.22110e9 | − | 1.29912e10i | 0.152312 | − | 0.468767i | ||||
\(964\) | 7.04797e9 | − | 5.12065e9i | 0.253393 | − | 0.184101i | ||||
\(965\) | −5.66269e9 | − | 4.11419e9i | −0.202851 | − | 0.147380i | ||||
\(966\) | 7.10423e9 | + | 2.18646e10i | 0.253569 | + | 0.780407i | ||||
\(967\) | −3.59199e10 | −1.27745 | −0.638723 | − | 0.769437i | \(-0.720537\pi\) | ||||
−0.638723 | + | 0.769437i | \(0.720537\pi\) | |||||||
\(968\) | −9.90067e9 | − | 1.23528e9i | −0.350833 | − | 0.0437726i | ||||
\(969\) | 1.26291e10 | 0.445901 | ||||||||
\(970\) | −5.35414e9 | − | 1.64784e10i | −0.188360 | − | 0.579713i | ||||
\(971\) | 3.25415e10 | + | 2.36428e10i | 1.14070 | + | 0.828765i | 0.987216 | − | 0.159386i | \(-0.0509515\pi\) |
0.153481 | + | 0.988152i | \(0.450951\pi\) | |||||||
\(972\) | −1.05242e10 | + | 7.64627e9i | −0.367584 | + | 0.267066i | ||||
\(973\) | −1.87628e10 | + | 5.77460e10i | −0.652985 | + | 2.00968i | ||||
\(974\) | −4.31016e9 | + | 1.32653e10i | −0.149464 | + | 0.460003i | ||||
\(975\) | −2.21375e9 | + | 1.60838e9i | −0.0764913 | + | 0.0555742i | ||||
\(976\) | 2.03359e9 | + | 1.47749e9i | 0.0700146 | + | 0.0508686i | ||||
\(977\) | −7.19918e9 | − | 2.21568e10i | −0.246974 | − | 0.760109i | −0.995305 | − | 0.0967836i | \(-0.969145\pi\) |
0.748331 | − | 0.663325i | \(-0.230855\pi\) | |||||||
\(978\) | −1.49361e10 | −0.510564 | ||||||||
\(979\) | 1.31013e10 | − | 3.37459e9i | 0.446247 | − | 0.114943i | ||||
\(980\) | 5.18722e9 | 0.176053 | ||||||||
\(981\) | −7.43449e9 | − | 2.28810e10i | −0.251426 | − | 0.773808i | ||||
\(982\) | 4.94388e7 | + | 3.59194e7i | 0.00166601 | + | 0.00121043i | ||||
\(983\) | −4.52018e10 | + | 3.28410e10i | −1.51781 | + | 1.10276i | −0.555257 | + | 0.831679i | \(0.687380\pi\) |
−0.962557 | + | 0.271078i | \(0.912620\pi\) | |||||||
\(984\) | −1.27536e9 | + | 3.92515e9i | −0.0426727 | + | 0.131333i | ||||
\(985\) | −4.70232e9 | + | 1.44723e10i | −0.156778 | + | 0.482514i | ||||
\(986\) | 8.76063e8 | − | 6.36497e8i | 0.0291049 | − | 0.0211459i | ||||
\(987\) | −3.80509e10 | − | 2.76456e10i | −1.25966 | − | 0.915199i | ||||
\(988\) | −7.90167e8 | − | 2.43188e9i | −0.0260657 | − | 0.0802220i | ||||
\(989\) | 8.76413e9 | 0.288086 | ||||||||
\(990\) | −2.81715e9 | − | 4.43158e9i | −0.0922756 | − | 0.145156i | ||||
\(991\) | −3.98681e10 | −1.30127 | −0.650636 | − | 0.759390i | \(-0.725498\pi\) | ||||
−0.650636 | + | 0.759390i | \(0.725498\pi\) | |||||||
\(992\) | −3.09747e8 | − | 9.53304e8i | −0.0100743 | − | 0.0310056i | ||||
\(993\) | −6.28261e9 | − | 4.56458e9i | −0.203619 | − | 0.147938i | ||||
\(994\) | 2.85168e10 | − | 2.07187e10i | 0.920976 | − | 0.669128i | ||||
\(995\) | 7.85568e9 | − | 2.41773e10i | 0.252815 | − | 0.778084i | ||||
\(996\) | −5.12978e9 | + | 1.57878e10i | −0.164509 | + | 0.506308i | ||||
\(997\) | −1.00885e10 | + | 7.32971e9i | −0.322398 | + | 0.234236i | −0.737198 | − | 0.675677i | \(-0.763852\pi\) |
0.414800 | + | 0.909913i | \(0.363852\pi\) | |||||||
\(998\) | −1.77566e10 | − | 1.29009e10i | −0.565460 | − | 0.410831i | ||||
\(999\) | 1.76830e10 | + | 5.44225e10i | 0.561146 | + | 1.72703i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 22.8.c.a.5.1 | ✓ | 12 | |
11.3 | even | 5 | 242.8.a.q.1.5 | 6 | |||
11.8 | odd | 10 | 242.8.a.o.1.5 | 6 | |||
11.9 | even | 5 | inner | 22.8.c.a.9.1 | yes | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
22.8.c.a.5.1 | ✓ | 12 | 1.1 | even | 1 | trivial | |
22.8.c.a.9.1 | yes | 12 | 11.9 | even | 5 | inner | |
242.8.a.o.1.5 | 6 | 11.8 | odd | 10 | |||
242.8.a.q.1.5 | 6 | 11.3 | even | 5 |