Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [19,7,Mod(2,19)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(19, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("19.2");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 19 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 19.f (of order \(18\), degree \(6\), 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: | \(4.37102758878\) |
Analytic rank: | \(0\) |
Dimension: | \(54\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 2.1 | ||
Character | \(\chi\) | \(=\) | 19.2 |
Dual form | 19.7.f.a.10.1 |
$q$-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 \(\left(\mathbb{Z}/19\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −13.8473 | − | 2.44165i | −1.73091 | − | 0.305206i | −0.782594 | − | 0.622532i | \(-0.786104\pi\) |
−0.948316 | + | 0.317326i | \(0.897215\pi\) | |||||||
\(3\) | 19.5791 | − | 23.3335i | 0.725152 | − | 0.864203i | −0.269968 | − | 0.962869i | \(-0.587013\pi\) |
0.995121 | + | 0.0986665i | \(0.0314577\pi\) | |||||||
\(4\) | 125.645 | + | 45.7311i | 1.96321 | + | 0.714549i | ||||
\(5\) | 43.8845 | − | 15.9727i | 0.351076 | − | 0.127781i | −0.160462 | − | 0.987042i | \(-0.551298\pi\) |
0.511538 | + | 0.859261i | \(0.329076\pi\) | |||||||
\(6\) | −328.090 | + | 275.300i | −1.51893 | + | 1.27454i | ||||
\(7\) | −286.306 | − | 495.896i | −0.834711 | − | 1.44576i | −0.894265 | − | 0.447537i | \(-0.852301\pi\) |
0.0595543 | − | 0.998225i | \(-0.481032\pi\) | |||||||
\(8\) | −848.852 | − | 490.085i | −1.65791 | − | 0.957197i | ||||
\(9\) | −34.5199 | − | 195.772i | −0.0473525 | − | 0.268549i | ||||
\(10\) | −646.681 | + | 114.027i | −0.646681 | + | 0.114027i | ||||
\(11\) | −671.666 | + | 1163.36i | −0.504632 | + | 0.874049i | 0.495353 | + | 0.868692i | \(0.335039\pi\) |
−0.999986 | + | 0.00535740i | \(0.998295\pi\) | |||||||
\(12\) | 3527.09 | − | 2036.37i | 2.04114 | − | 1.17845i | ||||
\(13\) | −2204.40 | − | 2627.10i | −1.00337 | − | 1.19577i | −0.980598 | − | 0.196028i | \(-0.937196\pi\) |
−0.0227706 | − | 0.999741i | \(-0.507249\pi\) | |||||||
\(14\) | 2753.75 | + | 7565.88i | 1.00355 | + | 2.75724i | ||||
\(15\) | 486.522 | − | 1336.71i | 0.144155 | − | 0.396062i | ||||
\(16\) | 4002.36 | + | 3358.37i | 0.977137 | + | 0.819916i | ||||
\(17\) | 108.563 | − | 615.689i | 0.0220970 | − | 0.125318i | −0.971764 | − | 0.235955i | \(-0.924178\pi\) |
0.993861 | + | 0.110637i | \(0.0352892\pi\) | |||||||
\(18\) | 2795.20i | 0.479287i | ||||||||
\(19\) | 5414.75 | − | 4210.27i | 0.789437 | − | 0.613832i | ||||
\(20\) | 6244.33 | 0.780541 | ||||||||
\(21\) | −17176.6 | − | 3028.70i | −1.85472 | − | 0.327038i | ||||
\(22\) | 12141.3 | − | 14469.4i | 1.14024 | − | 1.35888i | ||||
\(23\) | −11079.2 | − | 4032.50i | −0.910594 | − | 0.331429i | −0.156104 | − | 0.987741i | \(-0.549893\pi\) |
−0.754490 | + | 0.656312i | \(0.772116\pi\) | |||||||
\(24\) | −28055.2 | + | 10211.2i | −2.02945 | + | 0.738660i | ||||
\(25\) | −10298.7 | + | 8641.65i | −0.659118 | + | 0.553066i | ||||
\(26\) | 24110.5 | + | 41760.6i | 1.37179 | + | 2.37600i | ||||
\(27\) | 13986.3 | + | 8074.98i | 0.710576 | + | 0.410251i | ||||
\(28\) | −13295.1 | − | 75400.1i | −0.605643 | − | 3.43477i | ||||
\(29\) | 9134.21 | − | 1610.61i | 0.374522 | − | 0.0660383i | 0.0167809 | − | 0.999859i | \(-0.494658\pi\) |
0.357741 | + | 0.933821i | \(0.383547\pi\) | |||||||
\(30\) | −10000.8 | + | 17321.9i | −0.370399 | + | 0.641550i | ||||
\(31\) | 29610.3 | − | 17095.5i | 0.993936 | − | 0.573849i | 0.0874874 | − | 0.996166i | \(-0.472116\pi\) |
0.906448 | + | 0.422317i | \(0.138783\pi\) | |||||||
\(32\) | −6899.13 | − | 8222.07i | −0.210545 | − | 0.250918i | ||||
\(33\) | 13994.6 | + | 38449.8i | 0.389420 | + | 1.06992i | ||||
\(34\) | −3006.59 | + | 8260.55i | −0.0764959 | + | 0.210171i | ||||
\(35\) | −20485.2 | − | 17189.1i | −0.477788 | − | 0.400912i | ||||
\(36\) | 4615.62 | − | 26176.5i | 0.0989288 | − | 0.561053i | ||||
\(37\) | − | 19256.2i | − | 0.380160i | −0.981769 | − | 0.190080i | \(-0.939125\pi\) | ||
0.981769 | − | 0.190080i | \(-0.0608747\pi\) | |||||||
\(38\) | −85259.6 | + | 45079.9i | −1.55379 | + | 0.821546i | ||||
\(39\) | −104460. | −1.76098 | ||||||||
\(40\) | −45079.4 | − | 7948.72i | −0.704366 | − | 0.124199i | ||||
\(41\) | 61720.5 | − | 73555.7i | 0.895526 | − | 1.06725i | −0.101846 | − | 0.994800i | \(-0.532475\pi\) |
0.997372 | − | 0.0724461i | \(-0.0230805\pi\) | |||||||
\(42\) | 230454. | + | 83878.5i | 3.11055 | + | 1.13215i | ||||
\(43\) | 82814.7 | − | 30142.1i | 1.04160 | − | 0.379112i | 0.236115 | − | 0.971725i | \(-0.424126\pi\) |
0.805487 | + | 0.592613i | \(0.201904\pi\) | |||||||
\(44\) | −137593. | + | 115455.i | −1.61525 | + | 1.35536i | ||||
\(45\) | −4641.89 | − | 8039.99i | −0.0509398 | − | 0.0882304i | ||||
\(46\) | 143571. | + | 82890.6i | 1.47500 | + | 0.851593i | ||||
\(47\) | −8680.91 | − | 49231.9i | −0.0836125 | − | 0.474190i | −0.997647 | − | 0.0685546i | \(-0.978161\pi\) |
0.914035 | − | 0.405636i | \(-0.132950\pi\) | |||||||
\(48\) | 156725. | − | 27634.9i | 1.41715 | − | 0.249881i | ||||
\(49\) | −105118. | + | 182069.i | −0.893485 | + | 1.54756i | ||||
\(50\) | 163709. | − | 94517.5i | 1.30967 | − | 0.756140i | ||||
\(51\) | −12240.6 | − | 14587.8i | −0.0922767 | − | 0.109971i | ||||
\(52\) | −156832. | − | 430893.i | −1.11539 | − | 3.06450i | ||||
\(53\) | −40530.4 | + | 111356.i | −0.272241 | + | 0.747975i | 0.725944 | + | 0.687753i | \(0.241403\pi\) |
−0.998185 | + | 0.0602215i | \(0.980819\pi\) | |||||||
\(54\) | −173956. | − | 145966.i | −1.10473 | − | 0.926981i | ||||
\(55\) | −10893.8 | + | 61781.7i | −0.0654773 | + | 0.371340i | ||||
\(56\) | 561257.i | 3.19593i | ||||||||
\(57\) | 7775.71 | − | 208778.i | 0.0419870 | − | 1.12735i | ||||
\(58\) | −130417. | −0.668419 | ||||||||
\(59\) | 203764. | + | 35929.2i | 0.992139 | + | 0.174941i | 0.646078 | − | 0.763271i | \(-0.276408\pi\) |
0.346061 | + | 0.938212i | \(0.387519\pi\) | |||||||
\(60\) | 122258. | − | 145702.i | 0.566011 | − | 0.674546i | ||||
\(61\) | −87212.6 | − | 31742.8i | −0.384229 | − | 0.139848i | 0.142682 | − | 0.989769i | \(-0.454427\pi\) |
−0.526910 | + | 0.849921i | \(0.676650\pi\) | |||||||
\(62\) | −451764. | + | 164429.i | −1.89556 | + | 0.689926i | ||||
\(63\) | −87199.5 | + | 73169.1i | −0.348732 | + | 0.292621i | ||||
\(64\) | −91731.6 | − | 158884.i | −0.349928 | − | 0.606094i | ||||
\(65\) | −138701. | − | 80079.0i | −0.505055 | − | 0.291594i | ||||
\(66\) | −99906.1 | − | 566596.i | −0.347504 | − | 1.97079i | ||||
\(67\) | 325001. | − | 57306.4i | 1.08059 | − | 0.190537i | 0.395112 | − | 0.918633i | \(-0.370706\pi\) |
0.685475 | + | 0.728096i | \(0.259595\pi\) | |||||||
\(68\) | 41796.5 | − | 72393.7i | 0.132927 | − | 0.230236i | ||||
\(69\) | −311013. | + | 179563.i | −0.946741 | + | 0.546601i | ||||
\(70\) | 241694. | + | 288040.i | 0.704648 | + | 0.839767i | ||||
\(71\) | −20049.1 | − | 55084.4i | −0.0560169 | − | 0.153905i | 0.908528 | − | 0.417824i | \(-0.137207\pi\) |
−0.964545 | + | 0.263919i | \(0.914985\pi\) | |||||||
\(72\) | −66642.7 | + | 183099.i | −0.178548 | + | 0.490557i | ||||
\(73\) | −143119. | − | 120091.i | −0.367900 | − | 0.308704i | 0.440030 | − | 0.897983i | \(-0.354968\pi\) |
−0.807930 | + | 0.589278i | \(0.799412\pi\) | |||||||
\(74\) | −47017.0 | + | 266647.i | −0.116027 | + | 0.658022i | ||||
\(75\) | 409501.i | 0.970668i | ||||||||
\(76\) | 872878. | − | 281378.i | 1.98844 | − | 0.640987i | ||||
\(77\) | 769208. | 1.68489 | ||||||||
\(78\) | 1.44648e6 | + | 255054.i | 3.04810 | + | 0.537463i | ||||
\(79\) | −40918.9 | + | 48765.2i | −0.0829932 | + | 0.0989074i | −0.805943 | − | 0.591993i | \(-0.798341\pi\) |
0.722950 | + | 0.690900i | \(0.242786\pi\) | |||||||
\(80\) | 229283. | + | 83452.4i | 0.447819 | + | 0.162993i | ||||
\(81\) | 598436. | − | 217813.i | 1.12606 | − | 0.409853i | ||||
\(82\) | −1.03426e6 | + | 867846.i | −1.87581 | + | 1.57399i | ||||
\(83\) | 327396. | + | 567066.i | 0.572584 | + | 0.991744i | 0.996300 | + | 0.0859487i | \(0.0273921\pi\) |
−0.423716 | + | 0.905795i | \(0.639275\pi\) | |||||||
\(84\) | −2.01965e6 | − | 1.16605e6i | −3.40752 | − | 1.96733i | ||||
\(85\) | −5069.97 | − | 28753.2i | −0.00825560 | − | 0.0468198i | ||||
\(86\) | −1.22035e6 | + | 215181.i | −1.91863 | + | 0.338306i | ||||
\(87\) | 141259. | − | 244667.i | 0.214515 | − | 0.371550i | ||||
\(88\) | 1.14029e6 | − | 658347.i | 1.67327 | − | 0.966066i | ||||
\(89\) | −448434. | − | 534423.i | −0.636104 | − | 0.758080i | 0.347645 | − | 0.937626i | \(-0.386981\pi\) |
−0.983749 | + | 0.179546i | \(0.942537\pi\) | |||||||
\(90\) | 44646.8 | + | 122666.i | 0.0612438 | + | 0.168266i | ||||
\(91\) | −671638. | + | 1.84531e6i | −0.891274 | + | 2.44875i | ||||
\(92\) | −1.20764e6 | − | 1.01333e6i | −1.55086 | − | 1.30133i | ||||
\(93\) | 180846. | − | 1.02563e6i | 0.224833 | − | 1.27509i | ||||
\(94\) | 702923.i | 0.846300i | ||||||||
\(95\) | 170374. | − | 271254.i | 0.198716 | − | 0.316377i | ||||
\(96\) | −326928. | −0.369521 | ||||||||
\(97\) | 235870. | + | 41590.2i | 0.258439 | + | 0.0455697i | 0.301366 | − | 0.953509i | \(-0.402557\pi\) |
−0.0429276 | + | 0.999078i | \(0.513668\pi\) | |||||||
\(98\) | 1.90014e6 | − | 2.26450e6i | 2.01887 | − | 2.40599i | ||||
\(99\) | 250939. | + | 91334.5i | 0.258621 | + | 0.0941302i | ||||
\(100\) | −1.68918e6 | + | 614811.i | −1.68918 | + | 0.614811i | ||||
\(101\) | 284679. | − | 238874.i | 0.276307 | − | 0.231849i | −0.494095 | − | 0.869408i | \(-0.664500\pi\) |
0.770401 | + | 0.637559i | \(0.220056\pi\) | |||||||
\(102\) | 133881. | + | 231888.i | 0.126159 | + | 0.218514i | ||||
\(103\) | 913585. | + | 527458.i | 0.836059 | + | 0.482699i | 0.855923 | − | 0.517104i | \(-0.172990\pi\) |
−0.0198634 | + | 0.999803i | \(0.506323\pi\) | |||||||
\(104\) | 583707. | + | 3.31037e6i | 0.518913 | + | 2.94290i | ||||
\(105\) | −802163. | + | 141443.i | −0.692938 | + | 0.122184i | ||||
\(106\) | 833128. | − | 1.44302e6i | 0.699511 | − | 1.21159i | ||||
\(107\) | −1.63628e6 | + | 944704.i | −1.33569 | + | 0.771160i | −0.986165 | − | 0.165768i | \(-0.946990\pi\) |
−0.349523 | + | 0.936928i | \(0.613656\pi\) | |||||||
\(108\) | 1.38803e6 | + | 1.65419e6i | 1.10186 | + | 1.31315i | ||||
\(109\) | −500210. | − | 1.37432e6i | −0.386254 | − | 1.06122i | −0.968674 | − | 0.248336i | \(-0.920116\pi\) |
0.582420 | − | 0.812888i | \(-0.302106\pi\) | |||||||
\(110\) | 301699. | − | 828910.i | 0.226671 | − | 0.622773i | ||||
\(111\) | −449315. | − | 377020.i | −0.328535 | − | 0.275674i | ||||
\(112\) | 519508. | − | 2.94628e6i | 0.369775 | − | 2.09710i | ||||
\(113\) | − | 1.30022e6i | − | 0.901116i | −0.892747 | − | 0.450558i | \(-0.851225\pi\) | ||
0.892747 | − | 0.450558i | \(-0.148775\pi\) | |||||||
\(114\) | −617436. | + | 2.87203e6i | −0.416752 | + | 1.93854i | ||||
\(115\) | −550614. | −0.362038 | ||||||||
\(116\) | 1.22133e6 | + | 215353.i | 0.782451 | + | 0.137967i | ||||
\(117\) | −438218. | + | 522248.i | −0.273611 | + | 0.326076i | ||||
\(118\) | −2.73386e6 | − | 995043.i | −1.66391 | − | 0.605614i | ||||
\(119\) | −336400. | + | 122440.i | −0.199625 | + | 0.0726576i | ||||
\(120\) | −1.06809e6 | + | 896230.i | −0.618105 | + | 0.518652i | ||||
\(121\) | −16489.4 | − | 28560.5i | −0.00930786 | − | 0.0161217i | ||||
\(122\) | 1.13015e6 | + | 652494.i | 0.622383 | + | 0.359333i | ||||
\(123\) | −507876. | − | 2.88031e6i | −0.272925 | − | 1.54783i | ||||
\(124\) | 4.50220e6 | − | 793859.i | 2.36135 | − | 0.416369i | ||||
\(125\) | −678775. | + | 1.17567e6i | −0.347533 | + | 0.601944i | ||||
\(126\) | 1.38613e6 | − | 800282.i | 0.692935 | − | 0.400066i | ||||
\(127\) | 1.22763e6 | + | 1.46303e6i | 0.599316 | + | 0.714237i | 0.977368 | − | 0.211548i | \(-0.0678504\pi\) |
−0.378052 | + | 0.925784i | \(0.623406\pi\) | |||||||
\(128\) | 1.11724e6 | + | 3.06958e6i | 0.532740 | + | 1.46369i | ||||
\(129\) | 918118. | − | 2.52251e6i | 0.427690 | − | 1.17507i | ||||
\(130\) | 1.72511e6 | + | 1.44754e6i | 0.785210 | + | 0.658869i | ||||
\(131\) | 58029.2 | − | 329100.i | 0.0258127 | − | 0.146391i | −0.969178 | − | 0.246363i | \(-0.920764\pi\) |
0.994990 | + | 0.0999724i | \(0.0318755\pi\) | |||||||
\(132\) | 5.47103e6i | 2.37874i | ||||||||
\(133\) | −3.63813e6 | − | 1.47973e6i | −1.54641 | − | 0.628966i | ||||
\(134\) | −4.64030e6 | −1.92855 | ||||||||
\(135\) | 742759. | + | 130969.i | 0.301889 | + | 0.0532311i | ||||
\(136\) | −393893. | + | 469424.i | −0.156589 | + | 0.186616i | ||||
\(137\) | −1.81564e6 | − | 660838.i | −0.706102 | − | 0.257000i | −0.0360883 | − | 0.999349i | \(-0.511490\pi\) |
−0.670014 | + | 0.742348i | \(0.733712\pi\) | |||||||
\(138\) | 4.74511e6 | − | 1.72708e6i | 1.80555 | − | 0.657166i | ||||
\(139\) | −92305.6 | + | 77453.6i | −0.0343703 | + | 0.0288401i | −0.659811 | − | 0.751432i | \(-0.729364\pi\) |
0.625441 | + | 0.780272i | \(0.284919\pi\) | |||||||
\(140\) | −1.78779e6 | − | 3.09654e6i | −0.651526 | − | 1.12848i | ||||
\(141\) | −1.31871e6 | − | 761360.i | −0.470428 | − | 0.271602i | ||||
\(142\) | 143128. | + | 811721.i | 0.0499874 | + | 0.283493i | ||||
\(143\) | 4.53689e6 | − | 799976.i | 1.55149 | − | 0.273570i | ||||
\(144\) | 519316. | − | 899481.i | 0.173918 | − | 0.301234i | ||||
\(145\) | 375125. | − | 216578.i | 0.123047 | − | 0.0710413i | ||||
\(146\) | 1.68859e6 | + | 2.01238e6i | 0.542583 | + | 0.646625i | ||||
\(147\) | 2.19019e6 | + | 6.01751e6i | 0.689494 | + | 1.89437i | ||||
\(148\) | 880609. | − | 2.41945e6i | 0.271643 | − | 0.746332i | ||||
\(149\) | 547655. | + | 459537.i | 0.165557 | + | 0.138919i | 0.721802 | − | 0.692099i | \(-0.243314\pi\) |
−0.556245 | + | 0.831018i | \(0.687758\pi\) | |||||||
\(150\) | 999857. | − | 5.67047e6i | 0.296254 | − | 1.68014i | ||||
\(151\) | − | 1.10024e6i | − | 0.319563i | −0.987152 | − | 0.159782i | \(-0.948921\pi\) | ||
0.987152 | − | 0.159782i | \(-0.0510790\pi\) | |||||||
\(152\) | −6.65971e6 | + | 920210.i | −1.89638 | + | 0.262033i | ||||
\(153\) | −124282. | −0.0347005 | ||||||||
\(154\) | −1.06514e7 | − | 1.87814e6i | −2.91639 | − | 0.514239i | ||||
\(155\) | 1.02637e6 | − | 1.22318e6i | 0.275620 | − | 0.328471i | ||||
\(156\) | −1.31249e7 | − | 4.77706e6i | −3.45717 | − | 1.25831i | ||||
\(157\) | 2.10769e6 | − | 767135.i | 0.544637 | − | 0.198232i | −0.0550250 | − | 0.998485i | \(-0.517524\pi\) |
0.599662 | + | 0.800253i | \(0.295302\pi\) | |||||||
\(158\) | 685683. | − | 575356.i | 0.173841 | − | 0.145870i | ||||
\(159\) | 1.80478e6 | + | 3.12597e6i | 0.448986 | + | 0.777667i | ||||
\(160\) | −434093. | − | 250624.i | −0.105980 | − | 0.0611875i | ||||
\(161\) | 1.17234e6 | + | 6.64866e6i | 0.280915 | + | 1.59315i | ||||
\(162\) | −8.81854e6 | + | 1.55495e6i | −2.07420 | + | 0.365738i | ||||
\(163\) | −2.90678e6 | + | 5.03468e6i | −0.671195 | + | 1.16254i | 0.306370 | + | 0.951912i | \(0.400885\pi\) |
−0.977566 | + | 0.210632i | \(0.932448\pi\) | |||||||
\(164\) | 1.11187e7 | − | 6.41937e6i | 2.52070 | − | 1.45533i | ||||
\(165\) | 1.22829e6 | + | 1.46382e6i | 0.273432 | + | 0.325864i | ||||
\(166\) | −3.14897e6 | − | 8.65171e6i | −0.688404 | − | 1.89138i | ||||
\(167\) | 2.13112e6 | − | 5.85520e6i | 0.457571 | − | 1.25716i | −0.469718 | − | 0.882817i | \(-0.655644\pi\) |
0.927288 | − | 0.374348i | \(-0.122133\pi\) | |||||||
\(168\) | 1.30961e7 | + | 1.09889e7i | 2.76193 | + | 2.31754i | ||||
\(169\) | −1.20412e6 | + | 6.82890e6i | −0.249465 | + | 1.41479i | ||||
\(170\) | 410533.i | 0.0835606i | ||||||||
\(171\) | −1.01117e6 | − | 914719.i | −0.202226 | − | 0.182936i | ||||
\(172\) | 1.17837e7 | 2.31578 | ||||||||
\(173\) | −274260. | − | 48359.4i | −0.0529693 | − | 0.00933992i | 0.147101 | − | 0.989122i | \(-0.453006\pi\) |
−0.200070 | + | 0.979782i | \(0.564117\pi\) | |||||||
\(174\) | −2.55344e6 | + | 3.04307e6i | −0.484705 | + | 0.577649i | ||||
\(175\) | 7.23395e6 | + | 2.63294e6i | 1.34977 | + | 0.491278i | ||||
\(176\) | −6.59524e6 | + | 2.40047e6i | −1.20974 | + | 0.440310i | ||||
\(177\) | 4.82788e6 | − | 4.05107e6i | 0.870636 | − | 0.730550i | ||||
\(178\) | 4.90472e6 | + | 8.49522e6i | 0.869669 | + | 1.50631i | ||||
\(179\) | −7.59161e6 | − | 4.38302e6i | −1.32366 | − | 0.764213i | −0.339345 | − | 0.940662i | \(-0.610206\pi\) |
−0.984310 | + | 0.176449i | \(0.943539\pi\) | |||||||
\(180\) | −215554. | − | 1.22247e6i | −0.0369605 | − | 0.209614i | ||||
\(181\) | −269508. | + | 47521.5i | −0.0454502 | + | 0.00801410i | −0.196327 | − | 0.980538i | \(-0.562901\pi\) |
0.150877 | + | 0.988553i | \(0.451790\pi\) | |||||||
\(182\) | 1.38060e7 | − | 2.39126e7i | 2.29009 | − | 3.96655i | ||||
\(183\) | −2.44822e6 | + | 1.41348e6i | −0.399481 | + | 0.230641i | ||||
\(184\) | 7.42833e6 | + | 8.85274e6i | 1.19244 | + | 1.42110i | ||||
\(185\) | −307573. | − | 845050.i | −0.0485773 | − | 0.133465i | ||||
\(186\) | −5.00845e6 | + | 1.37606e7i | −0.778331 | + | 2.13845i | ||||
\(187\) | 643350. | + | 539834.i | 0.0983835 | + | 0.0825535i | ||||
\(188\) | 1.16071e6 | − | 6.58274e6i | 0.174683 | − | 0.990679i | ||||
\(189\) | − | 9.24766e6i | − | 1.36977i | ||||||
\(190\) | −3.02153e6 | + | 3.34013e6i | −0.440520 | + | 0.486970i | ||||
\(191\) | −1.35710e6 | −0.194765 | −0.0973825 | − | 0.995247i | \(-0.531047\pi\) | ||||
−0.0973825 | + | 0.995247i | \(0.531047\pi\) | |||||||
\(192\) | −5.50334e6 | − | 970387.i | −0.777539 | − | 0.137101i | ||||
\(193\) | −3.02857e6 | + | 3.60930e6i | −0.421274 | + | 0.502055i | −0.934384 | − | 0.356268i | \(-0.884049\pi\) |
0.513109 | + | 0.858323i | \(0.328494\pi\) | |||||||
\(194\) | −3.16461e6 | − | 1.15182e6i | −0.433426 | − | 0.157754i | ||||
\(195\) | −4.58416e6 | + | 1.66850e6i | −0.618238 | + | 0.225020i | ||||
\(196\) | −2.15338e7 | + | 1.80690e7i | −2.85991 | + | 2.39975i | ||||
\(197\) | 456392. | + | 790494.i | 0.0596952 | + | 0.103395i | 0.894329 | − | 0.447411i | \(-0.147654\pi\) |
−0.834633 | + | 0.550806i | \(0.814320\pi\) | |||||||
\(198\) | −3.25182e6 | − | 1.87744e6i | −0.418920 | − | 0.241864i | ||||
\(199\) | 326737. | + | 1.85302e6i | 0.0414610 | + | 0.235137i | 0.998495 | − | 0.0548379i | \(-0.0174642\pi\) |
−0.957034 | + | 0.289975i | \(0.906353\pi\) | |||||||
\(200\) | 1.29772e7 | − | 2.28824e6i | 1.62215 | − | 0.286030i | ||||
\(201\) | 5.02607e6 | − | 8.70540e6i | 0.618928 | − | 1.07201i | ||||
\(202\) | −4.52528e6 | + | 2.61267e6i | −0.549024 | + | 0.316979i | ||||
\(203\) | −3.41387e6 | − | 4.06850e6i | −0.408093 | − | 0.486346i | ||||
\(204\) | −870858. | − | 2.39266e6i | −0.102579 | − | 0.281832i | ||||
\(205\) | 1.53370e6 | − | 4.21379e6i | 0.178024 | − | 0.489116i | ||||
\(206\) | −1.13628e7 | − | 9.53452e6i | −1.29982 | − | 1.09068i | ||||
\(207\) | −406998. | + | 2.30820e6i | −0.0458861 | + | 0.260233i | ||||
\(208\) | − | 1.79178e7i | − | 1.99111i | ||||||
\(209\) | 1.26116e6 | + | 9.12719e6i | 0.138143 | + | 0.999766i | ||||
\(210\) | 1.14531e7 | 1.23671 | ||||||||
\(211\) | 4.48223e6 | + | 790338.i | 0.477141 | + | 0.0841328i | 0.407046 | − | 0.913408i | \(-0.366559\pi\) |
0.0700947 | + | 0.997540i | \(0.477670\pi\) | |||||||
\(212\) | −1.01849e7 | + | 1.21379e7i | −1.06893 | + | 1.27390i | ||||
\(213\) | −1.67785e6 | − | 610688.i | −0.173626 | − | 0.0631947i | ||||
\(214\) | 2.49646e7 | − | 9.08637e6i | 2.54732 | − | 0.927148i | ||||
\(215\) | 3.15283e6 | − | 2.64554e6i | 0.317238 | − | 0.266194i | ||||
\(216\) | −7.91485e6 | − | 1.37089e7i | −0.785383 | − | 1.36032i | ||||
\(217\) | −1.69552e7 | − | 9.78911e6i | −1.65930 | − | 0.957996i | ||||
\(218\) | 3.57095e6 | + | 2.02519e7i | 0.344679 | + | 1.95477i | ||||
\(219\) | −5.60429e6 | + | 988188.i | −0.533566 | + | 0.0940821i | ||||
\(220\) | −4.19410e6 | + | 7.26440e6i | −0.393886 | + | 0.682231i | ||||
\(221\) | −1.85679e6 | + | 1.07202e6i | −0.172023 | + | 0.0993176i | ||||
\(222\) | 5.30124e6 | + | 6.31777e6i | 0.484527 | + | 0.577437i | ||||
\(223\) | −2.18790e6 | − | 6.01120e6i | −0.197293 | − | 0.542059i | 0.801112 | − | 0.598515i | \(-0.204242\pi\) |
−0.998405 | + | 0.0564559i | \(0.982020\pi\) | |||||||
\(224\) | −2.10203e6 | + | 5.77528e6i | −0.187023 | + | 0.513842i | ||||
\(225\) | 2.04731e6 | + | 1.71789e6i | 0.179736 | + | 0.150817i | ||||
\(226\) | −3.17468e6 | + | 1.80045e7i | −0.275026 | + | 1.55975i | ||||
\(227\) | 1.93606e7i | 1.65516i | 0.561346 | + | 0.827581i | \(0.310284\pi\) | ||||
−0.561346 | + | 0.827581i | \(0.689716\pi\) | |||||||
\(228\) | 1.05246e7 | − | 2.58764e7i | 0.887980 | − | 2.18323i | ||||
\(229\) | 1.69353e7 | 1.41022 | 0.705111 | − | 0.709097i | \(-0.250897\pi\) | ||||
0.705111 | + | 0.709097i | \(0.250897\pi\) | |||||||
\(230\) | 7.62451e6 | + | 1.34441e6i | 0.626655 | + | 0.110496i | ||||
\(231\) | 1.50604e7 | − | 1.79483e7i | 1.22180 | − | 1.45609i | ||||
\(232\) | −8.54293e6 | − | 3.10937e6i | −0.684137 | − | 0.249005i | ||||
\(233\) | −2.08363e7 | + | 7.58379e6i | −1.64722 | + | 0.599541i | −0.988280 | − | 0.152652i | \(-0.951219\pi\) |
−0.658944 | + | 0.752192i | \(0.728997\pi\) | |||||||
\(234\) | 7.34328e6 | − | 6.16174e6i | 0.573116 | − | 0.480901i | ||||
\(235\) | −1.16732e6 | − | 2.02186e6i | −0.0899470 | − | 0.155793i | ||||
\(236\) | 2.39590e7 | + | 1.38327e7i | 1.82277 | + | 1.05238i | ||||
\(237\) | 336707. | + | 1.90956e6i | 0.0252934 | + | 0.143446i | ||||
\(238\) | 4.95718e6 | − | 874085.i | 0.367709 | − | 0.0648370i | ||||
\(239\) | −5.36210e6 | + | 9.28743e6i | −0.392773 | + | 0.680302i | −0.992814 | − | 0.119667i | \(-0.961817\pi\) |
0.600041 | + | 0.799969i | \(0.295151\pi\) | |||||||
\(240\) | 6.43640e6 | − | 3.71606e6i | 0.465596 | − | 0.268812i | ||||
\(241\) | −5.84127e6 | − | 6.96135e6i | −0.417307 | − | 0.497327i | 0.515909 | − | 0.856644i | \(-0.327454\pi\) |
−0.933216 | + | 0.359316i | \(0.883010\pi\) | |||||||
\(242\) | 158599. | + | 435747.i | 0.0111906 | + | 0.0307460i | ||||
\(243\) | 2.60780e6 | − | 7.16487e6i | 0.181742 | − | 0.499332i | ||||
\(244\) | −9.50622e6 | − | 7.97667e6i | −0.654393 | − | 0.549101i | ||||
\(245\) | −1.70491e6 | + | 9.66902e6i | −0.115932 | + | 0.657482i | ||||
\(246\) | 4.11245e7i | 2.76246i | ||||||||
\(247\) | −2.29971e7 | − | 4.94398e6i | −1.52610 | − | 0.328084i | ||||
\(248\) | −3.35131e7 | −2.19715 | ||||||||
\(249\) | 1.96417e7 | + | 3.46337e6i | 1.27228 | + | 0.224337i | ||||
\(250\) | 1.22698e7 | − | 1.46225e7i | 0.785265 | − | 0.935843i | ||||
\(251\) | 2.52977e7 | + | 9.20762e6i | 1.59978 | + | 0.582272i | 0.979382 | − | 0.202015i | \(-0.0647489\pi\) |
0.620398 | + | 0.784287i | \(0.286971\pi\) | |||||||
\(252\) | −1.43023e7 | + | 5.20562e6i | −0.893726 | + | 0.325290i | ||||
\(253\) | 1.21328e7 | − | 1.01806e7i | 0.749200 | − | 0.628654i | ||||
\(254\) | −1.34271e7 | − | 2.32564e7i | −0.819372 | − | 1.41919i | ||||
\(255\) | −770178. | − | 444663.i | −0.0464484 | − | 0.0268170i | ||||
\(256\) | −5.93693e6 | − | 3.36700e7i | −0.353869 | − | 2.00689i | ||||
\(257\) | 1.27872e7 | − | 2.25474e6i | 0.753317 | − | 0.132830i | 0.216213 | − | 0.976346i | \(-0.430629\pi\) |
0.537104 | + | 0.843516i | \(0.319518\pi\) | |||||||
\(258\) | −1.88725e7 | + | 3.26882e7i | −1.09893 | + | 1.90341i | ||||
\(259\) | −9.54910e6 | + | 5.51317e6i | −0.549621 | + | 0.317324i | ||||
\(260\) | −1.37650e7 | − | 1.64045e7i | −0.783171 | − | 0.933346i | ||||
\(261\) | −630625. | − | 1.73263e6i | −0.0354690 | − | 0.0974504i | ||||
\(262\) | −1.60709e6 | + | 4.41546e6i | −0.0893588 | + | 0.245511i | ||||
\(263\) | −1.53455e7 | − | 1.28764e7i | −0.843557 | − | 0.707829i | 0.114804 | − | 0.993388i | \(-0.463376\pi\) |
−0.958361 | + | 0.285560i | \(0.907821\pi\) | |||||||
\(264\) | 6.96435e6 | − | 3.94968e7i | 0.378502 | − | 2.14659i | ||||
\(265\) | 5.53419e6i | 0.297383i | ||||||||
\(266\) | 4.67653e7 | + | 2.93733e7i | 2.48473 | + | 1.56066i | ||||
\(267\) | −2.12499e7 | −1.11641 | ||||||||
\(268\) | 4.34555e7 | + | 7.66237e6i | 2.25756 | + | 0.398070i | ||||
\(269\) | −7.96485e6 | + | 9.49214e6i | −0.409186 | + | 0.487649i | −0.930798 | − | 0.365534i | \(-0.880886\pi\) |
0.521612 | + | 0.853183i | \(0.325331\pi\) | |||||||
\(270\) | −9.96542e6 | − | 3.62712e6i | −0.506296 | − | 0.184277i | ||||
\(271\) | 1.54355e7 | − | 5.61805e6i | 0.775554 | − | 0.282279i | 0.0762365 | − | 0.997090i | \(-0.475710\pi\) |
0.699317 | + | 0.714811i | \(0.253487\pi\) | |||||||
\(272\) | 2.50222e6 | − | 2.09961e6i | 0.124342 | − | 0.104336i | ||||
\(273\) | 2.99074e7 | + | 5.18012e7i | 1.46991 | + | 2.54596i | ||||
\(274\) | 2.35281e7 | + | 1.35840e7i | 1.14376 | + | 0.660351i | ||||
\(275\) | −3.13605e6 | − | 1.77854e7i | −0.150794 | − | 0.855197i | ||||
\(276\) | −4.72889e7 | + | 8.33831e6i | −2.24922 | + | 0.396598i | ||||
\(277\) | −3.52465e6 | + | 6.10487e6i | −0.165835 | + | 0.287235i | −0.936952 | − | 0.349459i | \(-0.886365\pi\) |
0.771116 | + | 0.636694i | \(0.219699\pi\) | |||||||
\(278\) | 1.46730e6 | − | 847144.i | 0.0682941 | − | 0.0394296i | ||||
\(279\) | −4.36898e6 | − | 5.20675e6i | −0.201172 | − | 0.239747i | ||||
\(280\) | 8.96476e6 | + | 2.46305e7i | 0.408380 | + | 1.12202i | ||||
\(281\) | 4.92378e6 | − | 1.35280e7i | 0.221911 | − | 0.609696i | −0.777914 | − | 0.628370i | \(-0.783722\pi\) |
0.999826 | + | 0.0186740i | \(0.00594447\pi\) | |||||||
\(282\) | 1.64016e7 | + | 1.37626e7i | 0.731375 | + | 0.613696i | ||||
\(283\) | 6.91236e6 | − | 3.92020e7i | 0.304977 | − | 1.72961i | −0.318636 | − | 0.947877i | \(-0.603225\pi\) |
0.623613 | − | 0.781733i | \(-0.285664\pi\) | |||||||
\(284\) | − | 7.83796e6i | − | 0.342175i | ||||||
\(285\) | −2.99351e6 | − | 9.28633e6i | −0.129314 | − | 0.401152i | ||||
\(286\) | −6.47768e7 | −2.76899 | ||||||||
\(287\) | −5.41469e7 | − | 9.54757e6i | −2.29049 | − | 0.403875i | ||||
\(288\) | −1.37150e6 | + | 1.63448e6i | −0.0574139 | + | 0.0684232i | ||||
\(289\) | 2.23146e7 | + | 8.12185e6i | 0.924476 | + | 0.336482i | ||||
\(290\) | −5.72326e6 | + | 2.08310e6i | −0.234666 | + | 0.0854114i | ||||
\(291\) | 5.58857e6 | − | 4.68936e6i | 0.226789 | − | 0.190298i | ||||
\(292\) | −1.24903e7 | − | 2.16339e7i | −0.501679 | − | 0.868933i | ||||
\(293\) | −2.46097e7 | − | 1.42084e7i | −0.978370 | − | 0.564862i | −0.0765927 | − | 0.997062i | \(-0.524404\pi\) |
−0.901778 | + | 0.432200i | \(0.857737\pi\) | |||||||
\(294\) | −1.56356e7 | − | 8.86739e7i | −0.615279 | − | 3.48942i | ||||
\(295\) | 9.51598e6 | − | 1.67792e6i | 0.370670 | − | 0.0653592i | ||||
\(296\) | −9.43719e6 | + | 1.63457e7i | −0.363888 | + | 0.630272i | ||||
\(297\) | −1.87882e7 | + | 1.08474e7i | −0.717160 | + | 0.414052i | ||||
\(298\) | −6.46150e6 | − | 7.70052e6i | −0.244166 | − | 0.290985i | ||||
\(299\) | 1.38292e7 | + | 3.79954e7i | 0.517349 | + | 1.42140i | ||||
\(300\) | −1.87269e7 | + | 5.14518e7i | −0.693590 | + | 1.90562i | ||||
\(301\) | −3.86577e7 | − | 3.24376e7i | −1.41754 | − | 1.18946i | ||||
\(302\) | −2.68640e6 | + | 1.52353e7i | −0.0975326 | + | 0.553135i | ||||
\(303\) | − | 1.13195e7i | − | 0.406911i | ||||||
\(304\) | 3.58114e7 | + | 1.33376e6i | 1.27468 | + | 0.0474740i | ||||
\(305\) | −4.33430e6 | −0.152763 | ||||||||
\(306\) | 1.72097e6 | + | 303454.i | 0.0600634 | + | 0.0105908i | ||||
\(307\) | 3.12071e7 | − | 3.71912e7i | 1.07855 | − | 1.28536i | 0.122396 | − | 0.992481i | \(-0.460942\pi\) |
0.956149 | − | 0.292879i | \(-0.0946134\pi\) | |||||||
\(308\) | 9.66473e7 | + | 3.51767e7i | 3.30779 | + | 1.20394i | ||||
\(309\) | 3.01946e7 | − | 1.09899e7i | 1.02342 | − | 0.372495i | ||||
\(310\) | −1.71991e7 | + | 1.44317e7i | −0.577325 | + | 0.484433i | ||||
\(311\) | 2.26062e7 | + | 3.91551e7i | 0.751531 | + | 1.30169i | 0.947081 | + | 0.320996i | \(0.104018\pi\) |
−0.195549 | + | 0.980694i | \(0.562649\pi\) | |||||||
\(312\) | 8.86708e7 | + | 5.11941e7i | 2.91956 | + | 1.68561i | ||||
\(313\) | 6.77567e6 | + | 3.84267e7i | 0.220963 | + | 1.25314i | 0.870254 | + | 0.492603i | \(0.163955\pi\) |
−0.649291 | + | 0.760540i | \(0.724934\pi\) | |||||||
\(314\) | −3.10588e7 | + | 5.47651e6i | −1.00322 | + | 0.176895i | ||||
\(315\) | −2.65800e6 | + | 4.60380e6i | −0.0850401 | + | 0.147294i | ||||
\(316\) | −7.37135e6 | + | 4.25585e6i | −0.233607 | + | 0.134873i | ||||
\(317\) | 3.55517e6 | + | 4.23688e6i | 0.111605 | + | 0.133005i | 0.818955 | − | 0.573858i | \(-0.194554\pi\) |
−0.707350 | + | 0.706863i | \(0.750110\pi\) | |||||||
\(318\) | −1.73588e7 | − | 4.76928e7i | −0.539806 | − | 1.48310i | ||||
\(319\) | −4.26142e6 | + | 1.17082e7i | −0.131275 | + | 0.360675i | ||||
\(320\) | −6.56339e6 | − | 5.50734e6i | −0.200299 | − | 0.168071i | ||||
\(321\) | −9.99359e6 | + | 5.66764e7i | −0.302139 | + | 1.71351i | ||||
\(322\) | − | 9.49283e7i | − | 2.84334i | ||||||
\(323\) | −2.00438e6 | − | 3.79088e6i | −0.0594801 | − | 0.112495i | ||||
\(324\) | 8.51515e7 | 2.50356 | ||||||||
\(325\) | 4.54050e7 | + | 8.00613e6i | 1.32268 | + | 0.233224i | ||||
\(326\) | 5.25439e7 | − | 6.26194e7i | 1.51659 | − | 1.80741i | ||||
\(327\) | −4.18612e7 | − | 1.52362e7i | −1.19721 | − | 0.435747i | ||||
\(328\) | −8.84402e7 | + | 3.21896e7i | −2.50627 | + | 0.912208i | ||||
\(329\) | −2.19285e7 | + | 1.84002e7i | −0.615774 | + | 0.516696i | ||||
\(330\) | −1.34344e7 | − | 2.32690e7i | −0.373831 | − | 0.647494i | ||||
\(331\) | 2.01889e7 | + | 1.16560e7i | 0.556709 | + | 0.321416i | 0.751823 | − | 0.659365i | \(-0.229175\pi\) |
−0.195115 | + | 0.980780i | \(0.562508\pi\) | |||||||
\(332\) | 1.52032e7 | + | 8.62214e7i | 0.415451 | + | 2.35614i | ||||
\(333\) | −3.76984e6 | + | 664724.i | −0.102092 | + | 0.0180015i | ||||
\(334\) | −4.38065e7 | + | 7.58751e7i | −1.17571 | + | 2.03639i | ||||
\(335\) | 1.33472e7 | − | 7.70598e6i | 0.355021 | − | 0.204972i | ||||
\(336\) | −5.85753e7 | − | 6.98074e7i | −1.54418 | − | 1.84028i | ||||
\(337\) | 1.15231e7 | + | 3.16594e7i | 0.301078 | + | 0.827204i | 0.994313 | + | 0.106493i | \(0.0339622\pi\) |
−0.693236 | + | 0.720711i | \(0.743816\pi\) | |||||||
\(338\) | 3.33476e7 | − | 9.16217e7i | 0.863603 | − | 2.37273i | ||||
\(339\) | −3.03386e7 | − | 2.54571e7i | −0.778747 | − | 0.653446i | ||||
\(340\) | 677900. | − | 3.84456e6i | 0.0172476 | − | 0.0978161i | ||||
\(341\) | 4.59300e7i | 1.15833i | ||||||||
\(342\) | 1.17685e7 | + | 1.51353e7i | 0.294201 | + | 0.378367i | ||||
\(343\) | 5.30160e7 | 1.31379 | ||||||||
\(344\) | −8.50696e7 | − | 1.50001e7i | −2.08977 | − | 0.368483i | ||||
\(345\) | −1.07805e7 | + | 1.28477e7i | −0.262533 | + | 0.312874i | ||||
\(346\) | 3.67968e6 | + | 1.33929e6i | 0.0888345 | + | 0.0323331i | ||||
\(347\) | 2.05507e7 | − | 7.47985e6i | 0.491857 | − | 0.179021i | −0.0841712 | − | 0.996451i | \(-0.526824\pi\) |
0.576028 | + | 0.817430i | \(0.304602\pi\) | |||||||
\(348\) | 2.89374e7 | − | 2.42813e7i | 0.686628 | − | 0.576149i | ||||
\(349\) | −2.04583e7 | − | 3.54348e7i | −0.481274 | − | 0.833591i | 0.518495 | − | 0.855081i | \(-0.326493\pi\) |
−0.999769 | + | 0.0214893i | \(0.993159\pi\) | |||||||
\(350\) | −9.37418e7 | − | 5.41219e7i | −2.18640 | − | 1.26232i | ||||
\(351\) | −9.61756e6 | − | 5.45439e7i | −0.222404 | − | 1.26132i | ||||
\(352\) | 1.41991e7 | − | 2.50369e6i | 0.325562 | − | 0.0574054i | ||||
\(353\) | 2.66679e7 | − | 4.61901e7i | 0.606268 | − | 1.05009i | −0.385582 | − | 0.922674i | \(-0.625999\pi\) |
0.991850 | − | 0.127413i | \(-0.0406674\pi\) | |||||||
\(354\) | −7.67443e7 | + | 4.43083e7i | −1.72996 | + | 0.998793i | ||||
\(355\) | −1.75969e6 | − | 2.09711e6i | −0.0393324 | − | 0.0468745i | ||||
\(356\) | −3.19038e7 | − | 8.76551e7i | −0.707120 | − | 1.94280i | ||||
\(357\) | −3.72947e6 | + | 1.02466e7i | −0.0819677 | + | 0.225204i | ||||
\(358\) | 9.44214e7 | + | 7.92290e7i | 2.05789 | + | 1.72677i | ||||
\(359\) | −1.38494e7 | + | 7.85437e7i | −0.299328 | + | 1.69757i | 0.349745 | + | 0.936845i | \(0.386268\pi\) |
−0.649072 | + | 0.760727i | \(0.724843\pi\) | |||||||
\(360\) | 9.09969e6i | 0.195038i | ||||||||
\(361\) | 1.15931e7 | − | 4.55951e7i | 0.246422 | − | 0.969163i | ||||
\(362\) | 3.84798e6 | 0.0811162 | ||||||||
\(363\) | −989265. | − | 174434.i | −0.0206820 | − | 0.00364680i | ||||
\(364\) | −1.68776e8 | + | 2.01140e8i | −3.49951 | + | 4.17055i | ||||
\(365\) | −8.19889e6 | − | 2.98415e6i | −0.168607 | − | 0.0613681i | ||||
\(366\) | 3.73523e7 | − | 1.35951e7i | 0.761859 | − | 0.277294i | ||||
\(367\) | 3.44668e7 | − | 2.89210e7i | 0.697272 | − | 0.585081i | −0.223724 | − | 0.974653i | \(-0.571821\pi\) |
0.920996 | + | 0.389572i | \(0.127377\pi\) | |||||||
\(368\) | −3.08002e7 | − | 5.33476e7i | −0.618031 | − | 1.07046i | ||||
\(369\) | −1.65308e7 | − | 9.54403e6i | −0.329013 | − | 0.189956i | ||||
\(370\) | 2.19574e6 | + | 1.24526e7i | 0.0433486 | + | 0.245842i | ||||
\(371\) | 6.68252e7 | − | 1.17831e7i | 1.30864 | − | 0.230748i | ||||
\(372\) | 6.96255e7 | − | 1.20595e8i | 1.35251 | − | 2.34261i | ||||
\(373\) | −4.49493e7 | + | 2.59515e7i | −0.866157 | + | 0.500076i | −0.866069 | − | 0.499924i | \(-0.833361\pi\) |
−8.74248e−5 | 1.00000i | \(0.500028\pi\) | ||||||||
\(374\) | −7.59056e6 | − | 9.04607e6i | −0.145097 | − | 0.172920i | ||||
\(375\) | 1.41427e7 | + | 3.88568e7i | 0.268188 | + | 0.736840i | ||||
\(376\) | −1.67590e7 | + | 4.60450e7i | −0.315271 | + | 0.866201i | ||||
\(377\) | −2.43667e7 | − | 2.04461e7i | −0.454750 | − | 0.381581i | ||||
\(378\) | −2.25795e7 | + | 1.28055e8i | −0.418061 | + | 2.37094i | ||||
\(379\) | − | 6.10253e7i | − | 1.12097i | −0.828166 | − | 0.560483i | \(-0.810615\pi\) | ||
0.828166 | − | 0.560483i | \(-0.189385\pi\) | |||||||
\(380\) | 3.38115e7 | − | 2.62903e7i | 0.616188 | − | 0.479121i | ||||
\(381\) | 5.81734e7 | 1.05184 | ||||||||
\(382\) | 1.87921e7 | + | 3.31356e6i | 0.337121 | + | 0.0594435i | ||||
\(383\) | −4.45541e7 | + | 5.30976e7i | −0.793034 | + | 0.945101i | −0.999443 | − | 0.0333648i | \(-0.989378\pi\) |
0.206409 | + | 0.978466i | \(0.433822\pi\) | |||||||
\(384\) | 9.34985e7 | + | 3.40307e7i | 1.65124 | + | 0.601003i | ||||
\(385\) | 3.37563e7 | − | 1.22863e7i | 0.591524 | − | 0.215297i | ||||
\(386\) | 5.07501e7 | − | 4.25844e7i | 0.882419 | − | 0.740437i | ||||
\(387\) | −8.75974e6 | − | 1.51723e7i | −0.151133 | − | 0.261769i | ||||
\(388\) | 2.77340e7 | + | 1.60122e7i | 0.474807 | + | 0.274130i | ||||
\(389\) | −236154. | − | 1.33929e6i | −0.00401186 | − | 0.0227524i | 0.982736 | − | 0.185013i | \(-0.0592327\pi\) |
−0.986748 | + | 0.162260i | \(0.948122\pi\) | |||||||
\(390\) | 6.75520e7 | − | 1.19112e7i | 1.13879 | − | 0.200800i | ||||
\(391\) | −3.68555e6 | + | 6.38356e6i | −0.0616555 | + | 0.106790i | ||||
\(392\) | 1.78459e8 | − | 1.03033e8i | 2.96264 | − | 1.71048i | ||||
\(393\) | −6.54289e6 | − | 7.79751e6i | −0.107793 | − | 0.128463i | ||||
\(394\) | −4.38968e6 | − | 1.20605e7i | −0.0717702 | − | 0.197187i | ||||
\(395\) | −1.01679e6 | + | 2.79362e6i | −0.0164984 | + | 0.0453290i | ||||
\(396\) | 2.73525e7 | + | 2.29515e7i | 0.440465 | + | 0.369594i | ||||
\(397\) | 2.44950e6 | − | 1.38918e7i | 0.0391476 | − | 0.222017i | −0.958957 | − | 0.283550i | \(-0.908488\pi\) |
0.998105 | + | 0.0615328i | \(0.0195989\pi\) | |||||||
\(398\) | − | 2.64571e7i | − | 0.419655i | ||||||
\(399\) | −1.05759e8 | + | 5.59185e7i | −1.66493 | + | 0.880312i | ||||
\(400\) | −7.02410e7 | −1.09752 | ||||||||
\(401\) | 1.21251e7 | + | 2.13798e6i | 0.188040 | + | 0.0331566i | 0.266875 | − | 0.963731i | \(-0.414009\pi\) |
−0.0788348 | + | 0.996888i | \(0.525120\pi\) | |||||||
\(402\) | −9.08529e7 | + | 1.08274e8i | −1.39849 | + | 1.66666i | ||||
\(403\) | −1.10185e8 | − | 4.01040e7i | −1.68348 | − | 0.612735i | ||||
\(404\) | 4.66926e7 | − | 1.69947e7i | 0.708115 | − | 0.257733i | ||||
\(405\) | 2.27830e7 | − | 1.91172e7i | 0.342962 | − | 0.287779i | ||||
\(406\) | 3.73390e7 | + | 6.46731e7i | 0.557937 | + | 0.966375i | ||||
\(407\) | 2.24019e7 | + | 1.29338e7i | 0.332278 | + | 0.191841i | ||||
\(408\) | 3.24121e6 | + | 1.83818e7i | 0.0477229 | + | 0.270650i | ||||
\(409\) | −9.96156e7 | + | 1.75649e7i | −1.45599 | + | 0.256730i | −0.844938 | − | 0.534864i | \(-0.820363\pi\) |
−0.611048 | + | 0.791594i | \(0.709252\pi\) | |||||||
\(410\) | −3.15261e7 | + | 5.46049e7i | −0.457424 | + | 0.792282i | ||||
\(411\) | −5.09682e7 | + | 2.94265e7i | −0.734132 | + | 0.423851i | ||||
\(412\) | 9.06663e7 | + | 1.08052e8i | 1.29645 | + | 1.54504i | ||||
\(413\) | −4.05218e7 | − | 1.11333e8i | −0.575226 | − | 1.58042i | ||||
\(414\) | 1.12716e7 | − | 3.09686e7i | 0.158849 | − | 0.436435i | ||||
\(415\) | 2.34252e7 | + | 1.96560e7i | 0.327747 | + | 0.275012i | ||||
\(416\) | −6.39176e6 | + | 3.62495e7i | −0.0887852 | + | 0.503526i | ||||
\(417\) | 3.67028e6i | 0.0506164i | ||||||||
\(418\) | 4.82182e6 | − | 1.29466e8i | 0.0660210 | − | 1.77267i | ||||
\(419\) | −5.19004e7 | −0.705551 | −0.352776 | − | 0.935708i | \(-0.614762\pi\) | ||||
−0.352776 | + | 0.935708i | \(0.614762\pi\) | |||||||
\(420\) | −1.07256e8 | − | 1.89122e7i | −1.44769 | − | 0.255266i | ||||
\(421\) | 8.28187e7 | − | 9.86995e7i | 1.10990 | − | 1.32272i | 0.168391 | − | 0.985720i | \(-0.446143\pi\) |
0.941504 | − | 0.337001i | \(-0.109413\pi\) | |||||||
\(422\) | −6.01370e7 | − | 2.18881e7i | −0.800211 | − | 0.291253i | ||||
\(423\) | −9.33857e6 | + | 3.39896e6i | −0.123384 | + | 0.0449081i | ||||
\(424\) | 8.89783e7 | − | 7.46617e7i | 1.16731 | − | 0.979490i | ||||
\(425\) | 4.20251e6 | + | 7.27897e6i | 0.0547447 | + | 0.0948207i | ||||
\(426\) | 2.17426e7 | + | 1.25531e7i | 0.281244 | + | 0.162376i | ||||
\(427\) | 9.22835e6 | + | 5.23366e7i | 0.118533 | + | 0.672236i | ||||
\(428\) | −2.48793e8 | + | 4.38689e7i | −3.17326 | + | 0.559532i | ||||
\(429\) | 7.01620e7 | − | 1.21524e8i | 0.888648 | − | 1.53918i | ||||
\(430\) | −5.01176e7 | + | 2.89354e7i | −0.630355 | + | 0.363936i | ||||
\(431\) | 2.54048e6 | + | 3.02763e6i | 0.0317311 | + | 0.0378156i | 0.781677 | − | 0.623684i | \(-0.214365\pi\) |
−0.749946 | + | 0.661500i | \(0.769920\pi\) | |||||||
\(432\) | 2.88592e7 | + | 7.92901e7i | 0.357959 | + | 0.983485i | ||||
\(433\) | −2.81827e7 | + | 7.74312e7i | −0.347151 | + | 0.953789i | 0.636112 | + | 0.771597i | \(0.280542\pi\) |
−0.983263 | + | 0.182192i | \(0.941681\pi\) | |||||||
\(434\) | 2.10882e8 | + | 1.76951e8i | 2.57971 | + | 2.16463i | ||||
\(435\) | 2.29108e6 | − | 1.29934e7i | 0.0278338 | − | 0.157853i | ||||
\(436\) | − | 1.95552e8i | − | 2.35940i | ||||||
\(437\) | −7.69689e7 | + | 2.48114e7i | −0.922298 | + | 0.297309i | ||||
\(438\) | 8.00170e7 | 0.952270 | ||||||||
\(439\) | −3.14309e7 | − | 5.54211e6i | −0.371503 | − | 0.0655060i | −0.0152203 | − | 0.999884i | \(-0.504845\pi\) |
−0.356283 | + | 0.934378i | \(0.615956\pi\) | |||||||
\(440\) | 3.95255e7 | − | 4.71047e7i | 0.464002 | − | 0.552976i | ||||
\(441\) | 3.92727e7 | + | 1.42941e7i | 0.457905 | + | 0.166664i | ||||
\(442\) | 2.83290e7 | − | 1.03109e7i | 0.328069 | − | 0.119407i | ||||
\(443\) | 1.07399e8 | − | 9.01181e7i | 1.23534 | − | 1.03657i | 0.237468 | − | 0.971395i | \(-0.423682\pi\) |
0.997874 | − | 0.0651796i | \(-0.0207620\pi\) | |||||||
\(444\) | −3.92127e7 | − | 6.79184e7i | −0.448000 | − | 0.775959i | ||||
\(445\) | −2.82154e7 | − | 1.62902e7i | −0.320189 | − | 0.184861i | ||||
\(446\) | 1.56192e7 | + | 8.85808e7i | 0.176057 | + | 0.998470i | ||||
\(447\) | 2.14452e7 | − | 3.78136e6i | 0.240108 | − | 0.0423376i | ||||
\(448\) | −5.25266e7 | + | 9.09788e7i | −0.584178 | + | 1.01183i | ||||
\(449\) | 3.77104e7 | − | 2.17721e7i | 0.416603 | − | 0.240526i | −0.277020 | − | 0.960864i | \(-0.589347\pi\) |
0.693623 | + | 0.720338i | \(0.256014\pi\) | |||||||
\(450\) | −2.41551e7 | − | 2.87870e7i | −0.265077 | − | 0.315907i | ||||
\(451\) | 4.41161e7 | + | 1.21208e8i | 0.480914 | + | 1.32130i | ||||
\(452\) | 5.94604e7 | − | 1.63366e8i | 0.643892 | − | 1.76908i | ||||
\(453\) | −2.56724e7 | − | 2.15417e7i | −0.276167 | − | 0.231732i | ||||
\(454\) | 4.72717e7 | − | 2.68091e8i | 0.505166 | − | 2.86494i | ||||
\(455\) | 9.17083e7i | 0.973587i | ||||||||
\(456\) | −1.08920e8 | + | 1.73411e8i | −1.14871 | + | 1.82887i | ||||
\(457\) | 2.99548e7 | 0.313847 | 0.156924 | − | 0.987611i | \(-0.449842\pi\) | ||||
0.156924 | + | 0.987611i | \(0.449842\pi\) | |||||||
\(458\) | −2.34509e8 | − | 4.13502e7i | −2.44097 | − | 0.430409i | ||||
\(459\) | 6.49006e6 | − | 7.73455e6i | 0.0671136 | − | 0.0799829i | ||||
\(460\) | −6.91821e7 | − | 2.51802e7i | −0.710756 | − | 0.258694i | ||||
\(461\) | −3.33754e7 | + | 1.21476e7i | −0.340662 | + | 0.123991i | −0.506685 | − | 0.862131i | \(-0.669129\pi\) |
0.166024 | + | 0.986122i | \(0.446907\pi\) | |||||||
\(462\) | −2.52369e8 | + | 2.11763e8i | −2.55923 | + | 2.14745i | ||||
\(463\) | 6.37805e7 | + | 1.10471e8i | 0.642606 | + | 1.11303i | 0.984849 | + | 0.173415i | \(0.0554801\pi\) |
−0.342243 | + | 0.939611i | \(0.611187\pi\) | |||||||
\(464\) | 4.19674e7 | + | 2.42299e7i | 0.420105 | + | 0.242548i | ||||
\(465\) | −8.44566e6 | − | 4.78977e7i | −0.0839991 | − | 0.476383i | ||||
\(466\) | 3.07043e8 | − | 5.41400e7i | 3.03418 | − | 0.535008i | ||||
\(467\) | 3.96591e6 | − | 6.86916e6i | 0.0389397 | − | 0.0674455i | −0.845899 | − | 0.533344i | \(-0.820935\pi\) |
0.884838 | + | 0.465898i | \(0.154269\pi\) | |||||||
\(468\) | −7.89431e7 | + | 4.55778e7i | −0.770152 | + | 0.444647i | ||||
\(469\) | −1.21468e8 | − | 1.44759e8i | −1.17745 | − | 1.40323i | ||||
\(470\) | 1.12275e7 | + | 3.08474e7i | 0.108141 | + | 0.297116i | ||||
\(471\) | 2.33667e7 | − | 6.41995e7i | 0.223632 | − | 0.614425i | ||||
\(472\) | −1.55358e8 | − | 1.30360e8i | −1.47743 | − | 1.23971i | ||||
\(473\) | −2.05577e7 | + | 1.16589e8i | −0.194264 | + | 1.10172i | ||||
\(474\) | − | 2.72643e7i | − | 0.256012i | ||||||
\(475\) | −1.93813e7 | + | 9.01528e7i | −0.180843 | + | 0.841198i | ||||
\(476\) | −4.78664e7 | −0.443823 | ||||||||
\(477\) | 2.31996e7 | + | 4.09071e6i | 0.213759 | + | 0.0376915i | ||||
\(478\) | 9.69272e7 | − | 1.15513e8i | 0.887487 | − | 1.05767i | ||||
\(479\) | 9.20337e7 | + | 3.34975e7i | 0.837414 | + | 0.304794i | 0.724898 | − | 0.688856i | \(-0.241887\pi\) |
0.112516 | + | 0.993650i | \(0.464109\pi\) | |||||||
\(480\) | −1.43471e7 | + | 5.22191e6i | −0.129730 | + | 0.0472178i | ||||
\(481\) | −5.05881e7 | + | 4.24485e7i | −0.454583 | + | 0.381440i | ||||
\(482\) | 6.38885e7 | + | 1.10658e8i | 0.570534 | + | 0.988194i | ||||
\(483\) | 1.78090e8 | + | 1.02820e8i | 1.58051 | + | 0.912508i | ||||
\(484\) | −765714. | − | 4.34258e6i | −0.00675352 | − | 0.0383011i | ||||
\(485\) | 1.10153e7 | − | 1.94230e6i | 0.0965545 | − | 0.0170252i | ||||
\(486\) | −5.36050e7 | + | 9.28467e7i | −0.466978 | + | 0.808830i | ||||
\(487\) | 1.25595e8 | − | 7.25125e7i | 1.08739 | − | 0.627806i | 0.154511 | − | 0.987991i | \(-0.450620\pi\) |
0.932881 | + | 0.360185i | \(0.117286\pi\) | |||||||
\(488\) | 5.84740e7 | + | 6.96865e7i | 0.503156 | + | 0.599638i | ||||
\(489\) | 6.05646e7 | + | 1.66400e8i | 0.517955 | + | 1.42307i | ||||
\(490\) | 4.72167e7 | − | 1.29727e8i | 0.401335 | − | 1.10266i | ||||
\(491\) | −2.69343e7 | − | 2.26006e7i | −0.227542 | − | 0.190930i | 0.521888 | − | 0.853014i | \(-0.325228\pi\) |
−0.749430 | + | 0.662084i | \(0.769672\pi\) | |||||||
\(492\) | 6.79076e7 | − | 3.85123e8i | 0.570194 | − | 3.23373i | ||||
\(493\) | − | 5.79868e6i | − | 0.0483937i | ||||||
\(494\) | 3.06376e8 | + | 1.24612e8i | 2.54140 | + | 1.03366i | ||||
\(495\) | 1.24712e7 | 0.102824 | ||||||||
\(496\) | 1.75924e8 | + | 3.10202e7i | 1.44172 | + | 0.254214i | ||||
\(497\) | −2.15760e7 | + | 2.57132e7i | −0.175752 | + | 0.209453i | ||||
\(498\) | −2.63528e8 | − | 9.59165e7i | −2.13373 | − | 0.776614i | ||||
\(499\) | −9.45374e7 | + | 3.44088e7i | −0.760855 | + | 0.276929i | −0.693166 | − | 0.720778i | \(-0.743785\pi\) |
−0.0676889 | + | 0.997706i | \(0.521563\pi\) | |||||||
\(500\) | −1.39050e8 | + | 1.16677e8i | −1.11240 | + | 0.933413i | ||||
\(501\) | −9.48967e7 | − | 1.64366e8i | −0.754637 | − | 1.30707i | ||||
\(502\) | −3.27823e8 | − | 1.89269e8i | −2.59136 | − | 1.49612i | ||||
\(503\) | −2.56440e7 | − | 1.45435e8i | −0.201504 | − | 1.14278i | −0.902848 | − | 0.429960i | \(-0.858527\pi\) |
0.701344 | − | 0.712823i | \(-0.252584\pi\) | |||||||
\(504\) | 1.09879e8 | − | 1.93746e7i | 0.858265 | − | 0.151335i | ||||
\(505\) | 8.67754e6 | − | 1.50299e7i | 0.0673787 | − | 0.116703i | ||||
\(506\) | −1.92863e8 | + | 1.11350e8i | −1.48867 | + | 0.859483i | ||||
\(507\) | 1.35766e8 | + | 1.61800e8i | 1.04176 | + | 1.24152i | ||||
\(508\) | 8.73396e7 | + | 2.39964e8i | 0.666224 | + | 1.83044i | ||||
\(509\) | 4.16240e7 | − | 1.14361e8i | 0.315639 | − | 0.867210i | −0.675853 | − | 0.737037i | \(-0.736224\pi\) |
0.991491 | − | 0.130173i | \(-0.0415534\pi\) | |||||||
\(510\) | 9.57916e6 | + | 8.03787e6i | 0.0722133 | + | 0.0605941i | ||||
\(511\) | −1.85770e7 | + | 1.05355e8i | −0.139223 | + | 0.789574i | ||||
\(512\) | 2.71673e8i | 2.02412i | ||||||||
\(513\) | 1.09730e8 | − | 1.51620e7i | 0.812780 | − | 0.112307i | ||||
\(514\) | −1.82574e8 | −1.34446 | ||||||||
\(515\) | 4.85171e7 | + | 8.55488e6i | 0.355200 | + | 0.0626314i | ||||
\(516\) | 2.30714e8 | − | 2.74955e8i | 1.67929 | − | 2.00130i | ||||
\(517\) | 6.31050e7 | + | 2.29683e7i | 0.456659 | + | 0.166210i | ||||
\(518\) | 1.45690e8 | − | 5.30269e7i | 1.04819 | − | 0.381511i | ||||
\(519\) | −6.49816e6 | + | 5.45260e6i | −0.0464824 | + | 0.0390034i | ||||
\(520\) | 7.84910e7 | + | 1.35950e8i | 0.558226 | + | 0.966876i | ||||
\(521\) | 1.33614e8 | + | 7.71419e7i | 0.944796 | + | 0.545478i | 0.891461 | − | 0.453098i | \(-0.149681\pi\) |
0.0533355 | + | 0.998577i | \(0.483015\pi\) | |||||||
\(522\) | 4.50197e6 | + | 2.55319e7i | 0.0316513 | + | 0.179503i | ||||
\(523\) | −8.97071e7 | + | 1.58178e7i | −0.627078 | + | 0.110571i | −0.478151 | − | 0.878277i | \(-0.658693\pi\) |
−0.148927 | + | 0.988848i | \(0.547582\pi\) | |||||||
\(524\) | 2.23412e7 | − | 3.86961e7i | 0.155279 | − | 0.268951i | ||||
\(525\) | 2.03070e8 | − | 1.17242e8i | 1.40336 | − | 0.810228i | ||||
\(526\) | 1.81054e8 | + | 2.15772e8i | 1.24409 | + | 1.48265i | ||||
\(527\) | −7.31096e6 | − | 2.00867e7i | −0.0499508 | − | 0.137239i | ||||
\(528\) | −7.31176e7 | + | 2.00889e8i | −0.496730 | + | 1.36475i | ||||
\(529\) | −6.91461e6 | − | 5.80204e6i | −0.0467090 | − | 0.0391935i | ||||
\(530\) | 1.35126e7 | − | 7.66335e7i | 0.0907632 | − | 0.514744i | ||||
\(531\) | − | 4.11317e7i | − | 0.274722i | ||||||
\(532\) | −3.89444e8 | − | 3.52297e8i | −2.58649 | − | 2.33977i | ||||
\(533\) | −3.29295e8 | −2.17472 | ||||||||
\(534\) | 2.94253e8 | + | 5.18848e7i | 1.93240 | + | 0.340734i | ||||
\(535\) | −5.67177e7 | + | 6.75935e7i | −0.370388 | + | 0.441411i | ||||
\(536\) | −3.03962e8 | − | 1.10633e8i | −1.97390 | − | 0.718442i | ||||
\(537\) | −2.50908e8 | + | 9.13231e7i | −1.62029 | + | 0.589736i | ||||
\(538\) | 1.33468e8 | − | 1.11993e8i | 0.857098 | − | 0.719190i | ||||
\(539\) | −1.41208e8 | − | 2.44579e8i | −0.901763 | − | 1.56190i | ||||
\(540\) | 8.73349e7 | + | 5.04228e7i | 0.554634 | + | 0.320218i | ||||
\(541\) | 4.58043e7 | + | 2.59769e8i | 0.289277 | + | 1.64057i | 0.689594 | + | 0.724196i | \(0.257789\pi\) |
−0.400317 | + | 0.916377i | \(0.631100\pi\) | |||||||
\(542\) | −2.27457e8 | + | 4.01067e7i | −1.42857 | + | 0.251895i | ||||
\(543\) | −4.16788e6 | + | 7.21898e6i | −0.0260325 | + | 0.0450896i | ||||
\(544\) | −5.81122e6 | + | 3.35511e6i | −0.0360970 | + | 0.0208406i | ||||
\(545\) | −4.39029e7 | − | 5.23215e7i | −0.271209 | − | 0.323214i | ||||
\(546\) | −2.87656e8 | − | 7.90329e8i | −1.76724 | − | 4.85546i | ||||
\(547\) | −9.09208e7 | + | 2.49803e8i | −0.555522 | + | 1.52628i | 0.270543 | + | 0.962708i | \(0.412797\pi\) |
−0.826065 | + | 0.563576i | \(0.809425\pi\) | |||||||
\(548\) | −1.97906e8 | − | 1.66062e8i | −1.20259 | − | 1.00909i | ||||
\(549\) | −3.20379e6 | + | 1.81696e7i | −0.0193618 | + | 0.109806i | ||||
\(550\) | 2.53937e8i | 1.52629i | ||||||||
\(551\) | 4.26784e7 | − | 4.71785e7i | 0.255125 | − | 0.282026i | ||||
\(552\) | 3.52005e8 | 2.09282 | ||||||||
\(553\) | 3.58978e7 | + | 6.32975e6i | 0.212272 | + | 0.0374293i | ||||
\(554\) | 6.37127e7 | − | 7.59299e7i | 0.374711 | − | 0.446564i | ||||
\(555\) | −2.57400e7 | − | 9.36858e6i | −0.150567 | − | 0.0548018i | ||||
\(556\) | −1.51398e7 | + | 5.51044e6i | −0.0880838 | + | 0.0320599i | ||||
\(557\) | −4.76763e7 | + | 4.00052e7i | −0.275891 | + | 0.231500i | −0.770225 | − | 0.637772i | \(-0.779856\pi\) |
0.494335 | + | 0.869272i | \(0.335412\pi\) | |||||||
\(558\) | 4.77855e7 | + | 8.27668e7i | 0.275038 | + | 0.476380i | ||||
\(559\) | −2.61743e8 | − | 1.51117e8i | −1.49844 | − | 0.865126i | ||||
\(560\) | −2.42615e7 | − | 1.37594e8i | −0.138151 | − | 0.783492i | ||||
\(561\) | 2.51924e7 | − | 4.44210e6i | 0.142686 | − | 0.0251594i | ||||
\(562\) | −1.01212e8 | + | 1.75303e8i | −0.570192 | + | 0.987601i | ||||
\(563\) | 2.53276e8 | − | 1.46229e8i | 1.41928 | − | 0.819422i | 0.423045 | − | 0.906109i | \(-0.360961\pi\) |
0.996236 | + | 0.0866863i | \(0.0276278\pi\) | |||||||
\(564\) | −1.30872e8 | − | 1.55968e8i | −0.729476 | − | 0.869355i | ||||
\(565\) | −2.07679e7 | − | 5.70594e7i | −0.115146 | − | 0.316360i | ||||
\(566\) | −1.91435e8 | + | 5.25963e8i | −1.05578 | + | 2.90072i | ||||
\(567\) | −2.79348e8 | − | 2.34401e8i | −1.53249 | − | 1.28591i | ||||
\(568\) | −9.97733e6 | + | 5.65842e7i | −0.0544464 | + | 0.308781i | ||||
\(569\) | 1.13949e8i | 0.618547i | 0.950973 | + | 0.309273i | \(0.100086\pi\) | ||||
−0.950973 | + | 0.309273i | \(0.899914\pi\) | |||||||
\(570\) | 1.87780e7 | + | 1.35899e8i | 0.101397 | + | 0.733826i | ||||
\(571\) | 9.76940e7 | 0.524759 | 0.262379 | − | 0.964965i | \(-0.415493\pi\) | ||||
0.262379 | + | 0.964965i | \(0.415493\pi\) | |||||||
\(572\) | 6.06622e8 | + | 1.06964e8i | 3.24138 | + | 0.571543i | ||||
\(573\) | −2.65707e7 | + | 3.16658e7i | −0.141234 | + | 0.168316i | ||||
\(574\) | 7.26476e8 | + | 2.64416e8i | 3.84137 | + | 1.39814i | ||||
\(575\) | 1.48949e8 | − | 5.42130e7i | 0.783491 | − | 0.285167i | ||||
\(576\) | −2.79385e7 | + | 2.34432e7i | −0.146196 | + | 0.122673i | ||||
\(577\) | 7.06655e7 | + | 1.22396e8i | 0.367858 | + | 0.637149i | 0.989230 | − | 0.146367i | \(-0.0467579\pi\) |
−0.621372 | + | 0.783515i | \(0.713425\pi\) | |||||||
\(578\) | −2.89166e8 | − | 1.66950e8i | −1.49749 | − | 0.864576i | ||||
\(579\) | 2.49210e7 | + | 1.41334e8i | 0.128390 | + | 0.728133i | ||||
\(580\) | 5.70370e7 | − | 1.00572e7i | 0.292330 | − | 0.0515456i | ||||
\(581\) | 1.87471e8 | − | 3.24709e8i | 0.955884 | − | 1.65564i | ||||
\(582\) | −8.88362e7 | + | 5.12896e7i | −0.450631 | + | 0.260172i | ||||
\(583\) | −1.02324e8 | − | 1.21946e8i | −0.516385 | − | 0.615404i | ||||
\(584\) | 6.26321e7 | + | 1.72080e8i | 0.314455 | + | 0.863958i | ||||
\(585\) | −1.08893e7 | + | 2.99181e7i | −0.0543917 | + | 0.149440i | ||||
\(586\) | 3.06085e8 | + | 2.56836e8i | 1.52107 | + | 1.27633i | ||||
\(587\) | 4.96829e7 | − | 2.81766e8i | 0.245636 | − | 1.39307i | −0.573374 | − | 0.819294i | \(-0.694366\pi\) |
0.819010 | − | 0.573779i | \(-0.194523\pi\) | |||||||
\(588\) | 8.56232e8i | 4.21172i | ||||||||
\(589\) | 8.83557e7 | − | 2.17236e8i | 0.432403 | − | 1.06313i | ||||
\(590\) | −1.35867e8 | −0.661545 | ||||||||
\(591\) | 2.73807e7 | + | 4.82796e6i | 0.132642 | + | 0.0233884i | ||||
\(592\) | 6.46696e7 | − | 7.70703e7i | 0.311699 | − | 0.371468i | ||||
\(593\) | −8.71586e7 | − | 3.17231e7i | −0.417971 | − | 0.152129i | 0.124469 | − | 0.992223i | \(-0.460277\pi\) |
−0.542440 | + | 0.840094i | \(0.682499\pi\) | |||||||
\(594\) | 2.86651e8 | − | 1.04332e8i | 1.36771 | − | 0.497806i | ||||
\(595\) | −1.28071e7 | + | 1.07464e7i | −0.0607993 | + | 0.0510167i | ||||
\(596\) | 4.77951e7 | + | 8.27835e7i | 0.225759 | + | 0.391026i | ||||
\(597\) | 4.96346e7 | + | 2.86566e7i | 0.233271 | + | 0.134679i | ||||
\(598\) | −9.87254e7 | − | 5.59899e8i | −0.461663 | − | 2.61822i | ||||
\(599\) | 1.90006e8 | − | 3.35032e7i | 0.884072 | − | 0.155886i | 0.286863 | − | 0.957972i | \(-0.407388\pi\) |
0.597209 | + | 0.802086i | \(0.296276\pi\) | |||||||
\(600\) | 2.00690e8 | − | 3.47606e8i | 0.929121 | − | 1.60929i | ||||
\(601\) | −1.23218e8 | + | 7.11397e7i | −0.567609 | + | 0.327709i | −0.756194 | − | 0.654348i | \(-0.772943\pi\) |
0.188585 | + | 0.982057i | \(0.439610\pi\) | |||||||
\(602\) | 4.56102e8 | + | 5.43562e8i | 2.09061 | + | 2.49149i | ||||
\(603\) | −2.24380e7 | − | 6.16479e7i | −0.102337 | − | 0.281168i | ||||
\(604\) | 5.03152e7 | − | 1.38240e8i | 0.228344 | − | 0.627369i | ||||
\(605\) | −1.17982e6 | − | 989985.i | −0.00532781 | − | 0.00447057i | ||||
\(606\) | −2.76382e7 | + | 1.56744e8i | −0.124192 | + | 0.704326i | ||||
\(607\) | 2.10131e7i | 0.0939561i | 0.998896 | + | 0.0469781i | \(0.0149591\pi\) | ||||
−0.998896 | + | 0.0469781i | \(0.985041\pi\) | |||||||
\(608\) | −7.19742e7 | − | 1.54732e7i | −0.320233 | − | 0.0688446i | ||||
\(609\) | −1.61773e8 | −0.716231 | ||||||||
\(610\) | 6.00183e7 | + | 1.05828e7i | 0.264420 | + | 0.0466243i | ||||
\(611\) | −1.10201e8 | + | 1.31332e8i | −0.483128 | + | 0.575769i | ||||
\(612\) | −1.56155e7 | − | 5.68358e6i | −0.0681242 | − | 0.0247952i | ||||
\(613\) | −3.76017e8 | + | 1.36859e8i | −1.63240 | + | 0.594145i | −0.985686 | − | 0.168589i | \(-0.946079\pi\) |
−0.646713 | + | 0.762734i | \(0.723857\pi\) | |||||||
\(614\) | −5.22942e8 | + | 4.38800e8i | −2.25917 | + | 1.89567i | ||||
\(615\) | −6.82941e7 | − | 1.18289e8i | −0.293601 | − | 0.508532i | ||||
\(616\) | −6.52944e8 | − | 3.76977e8i | −2.79340 | − | 1.61277i | ||||
\(617\) | 1.00764e7 | + | 5.71461e7i | 0.0428993 | + | 0.243294i | 0.998715 | − | 0.0506713i | \(-0.0161361\pi\) |
−0.955816 | + | 0.293965i | \(0.905025\pi\) | |||||||
\(618\) | −4.44947e8 | + | 7.84561e7i | −1.88514 | + | 0.332400i | ||||
\(619\) | −5.71511e7 | + | 9.89886e7i | −0.240964 | + | 0.417362i | −0.960989 | − | 0.276586i | \(-0.910797\pi\) |
0.720025 | + | 0.693948i | \(0.244130\pi\) | |||||||
\(620\) | 1.84897e8 | − | 1.06750e8i | 0.775808 | − | 0.447913i | ||||
\(621\) | −1.22394e8 | − | 1.45864e8i | −0.511077 | − | 0.609078i | ||||
\(622\) | −2.17432e8 | − | 5.97389e8i | −0.903549 | − | 2.48248i | ||||
\(623\) | −1.36629e8 | + | 3.75385e8i | −0.565040 | + | 1.55243i | ||||
\(624\) | −4.18085e8 | − | 3.50815e8i | −1.72072 | − | 1.44386i | ||||
\(625\) | 2.54680e7 | − | 1.44436e8i | 0.104317 | − | 0.591610i | ||||
\(626\) | − | 5.48650e8i | − | 2.23652i | ||||||
\(627\) | 2.37661e8 | + | 1.49275e8i | 0.964175 | + | 0.605599i | ||||
\(628\) | 2.99903e8 | 1.21088 | ||||||||
\(629\) | −1.18558e7 | − | 2.09051e6i | −0.0476410 | − | 0.00840039i | ||||
\(630\) | 4.80470e7 | − | 5.72602e7i | 0.192152 | − | 0.228998i | ||||
\(631\) | 1.34981e8 | + | 4.91291e7i | 0.537260 | + | 0.195547i | 0.596377 | − | 0.802704i | \(-0.296606\pi\) |
−0.0591171 | + | 0.998251i | \(0.518829\pi\) | |||||||
\(632\) | 5.86332e7 | − | 2.13407e7i | 0.232269 | − | 0.0845392i | ||||
\(633\) | 1.06199e8 | − | 8.91119e7i | 0.418708 | − | 0.351337i | ||||
\(634\) | −3.88844e7 | − | 6.73498e7i | −0.152584 | − | 0.264283i | ||||
\(635\) | 7.72423e7 | + | 4.45959e7i | 0.301671 | + | 0.174170i | ||||
\(636\) | 8.38079e7 | + | 4.75298e8i | 0.325772 | + | 1.84754i | ||||
\(637\) | 7.10036e8 | − | 1.25198e8i | 2.74702 | − | 0.484374i | ||||
\(638\) | 8.75963e7 | − | 1.51721e8i | 0.337306 | − | 0.584231i | ||||
\(639\) | −1.00919e7 | + | 5.82656e6i | −0.0386786 | + | 0.0223311i | ||||
\(640\) | 9.80587e7 | + | 1.16862e8i | 0.374064 | + | 0.445792i | ||||
\(641\) | 1.07801e8 | + | 2.96180e8i | 0.409305 | + | 1.12456i | 0.957557 | + | 0.288243i | \(0.0930711\pi\) |
−0.548252 | + | 0.836313i | \(0.684707\pi\) | |||||||
\(642\) | 2.76768e8 | − | 7.60414e8i | 1.04595 | − | 2.87372i | ||||
\(643\) | 1.05809e8 | + | 8.87840e7i | 0.398005 | + | 0.333966i | 0.819722 | − | 0.572762i | \(-0.194128\pi\) |
−0.421717 | + | 0.906727i | \(0.638572\pi\) | |||||||
\(644\) | −1.56752e8 | + | 8.88985e8i | −0.586888 | + | 3.32841i | ||||
\(645\) | − | 1.25364e8i | − | 0.467189i | ||||||
\(646\) | 1.84992e7 | + | 5.73874e7i | 0.0686207 | + | 0.212872i | ||||
\(647\) | 4.04081e8 | 1.49195 | 0.745977 | − | 0.665972i | \(-0.231983\pi\) | ||||
0.745977 | + | 0.665972i | \(0.231983\pi\) | |||||||
\(648\) | −6.14731e8 | − | 1.08394e8i | −2.25923 | − | 0.398363i | ||||
\(649\) | −1.78660e8 | + | 2.12919e8i | −0.653572 | + | 0.778897i | ||||
\(650\) | −6.09188e8 | − | 2.21726e8i | −2.21825 | − | 0.807379i | ||||
\(651\) | −5.60382e8 | + | 2.03962e8i | −2.03115 | + | 0.739277i | ||||
\(652\) | −5.95465e8 | + | 4.99654e8i | −2.14839 | + | 1.80271i | ||||
\(653\) | 1.81863e8 | + | 3.14995e8i | 0.653136 | + | 1.13127i | 0.982358 | + | 0.187013i | \(0.0598805\pi\) |
−0.329221 | + | 0.944253i | \(0.606786\pi\) | |||||||
\(654\) | 5.42463e8 | + | 3.13191e8i | 1.93926 | + | 1.11963i | ||||
\(655\) | −2.71002e6 | − | 1.53693e7i | −0.00964380 | − | 0.0546927i | ||||
\(656\) | 4.94055e8 | − | 8.71152e7i | 1.75010 | − | 0.308591i | ||||
\(657\) | −1.85701e7 | + | 3.21643e7i | −0.0654813 | + | 0.113417i | ||||
\(658\) | 3.48577e8 | − | 2.01251e8i | 1.22355 | − | 0.706416i | ||||
\(659\) | −2.69929e8 | − | 3.21689e8i | −0.943178 | − | 1.12404i | −0.992127 | − | 0.125234i | \(-0.960032\pi\) |
0.0489496 | − | 0.998801i | \(-0.484413\pi\) | |||||||
\(660\) | 8.73868e7 | + | 2.40093e8i | 0.303958 | + | 0.835119i | ||||
\(661\) | 5.44246e7 | − | 1.49530e8i | 0.188448 | − | 0.517756i | −0.809106 | − | 0.587663i | \(-0.800048\pi\) |
0.997554 | + | 0.0699070i | \(0.0222702\pi\) | |||||||
\(662\) | −2.51101e8 | − | 2.10699e8i | −0.865515 | − | 0.726253i | ||||
\(663\) | −1.13404e7 | + | 6.43146e7i | −0.0389124 | + | 0.220683i | ||||
\(664\) | − | 6.41807e8i | − | 2.19230i | ||||||
\(665\) | −1.83293e8 | − | 6.82653e6i | −0.623276 | − | 0.0232132i | ||||
\(666\) | 5.38250e7 | 0.182206 | ||||||||
\(667\) | −1.07694e8 | − | 1.89894e7i | −0.362924 | − | 0.0639933i | ||||
\(668\) | 5.35530e8 | − | 6.38220e8i | 1.79661 | − | 2.14112i | ||||
\(669\) | −1.83099e8 | − | 6.66426e7i | −0.611516 | − | 0.222574i | ||||
\(670\) | −2.03637e8 | + | 7.41179e7i | −0.677068 | + | 0.246433i | ||||
\(671\) | 9.55060e7 | − | 8.01391e7i | 0.316128 | − | 0.265263i | ||||
\(672\) | 9.36015e7 | + | 1.62123e8i | 0.308443 | + | 0.534239i | ||||
\(673\) | 3.69173e8 | + | 2.13142e8i | 1.21111 | + | 0.699236i | 0.963001 | − | 0.269496i | \(-0.0868572\pi\) |
0.248110 | + | 0.968732i | \(0.420191\pi\) | |||||||
\(674\) | −8.22621e7 | − | 4.66532e8i | −0.268671 | − | 1.52371i | ||||
\(675\) | −2.13822e8 | + | 3.77026e7i | −0.695250 | + | 0.122591i | ||||
\(676\) | −4.63586e8 | + | 8.02954e8i | −1.50069 | + | 2.59926i | ||||
\(677\) | −6.17737e7 | + | 3.56650e7i | −0.199084 | + | 0.114941i | −0.596228 | − | 0.802815i | \(-0.703335\pi\) |
0.397144 | + | 0.917756i | \(0.370001\pi\) | |||||||
\(678\) | 3.57950e8 | + | 4.26588e8i | 1.14851 | + | 1.36874i | ||||
\(679\) | −4.69065e7 | − | 1.28875e8i | −0.149839 | − | 0.411678i | ||||
\(680\) | −9.78787e6 | + | 2.68920e7i | −0.0311287 | + | 0.0855255i | ||||
\(681\) | 4.51749e8 | + | 3.79063e8i | 1.43040 | + | 1.20024i | ||||
\(682\) | 1.12145e8 | − | 6.36005e8i | 0.353530 | − | 2.00497i | ||||
\(683\) | − | 4.25777e7i | − | 0.133635i | −0.997765 | − | 0.0668175i | \(-0.978715\pi\) | ||
0.997765 | − | 0.0668175i | \(-0.0212845\pi\) | |||||||
\(684\) | −8.52177e7 | − | 1.61172e8i | −0.266294 | − | 0.503642i | ||||
\(685\) | −9.02337e7 | −0.280735 | ||||||||
\(686\) | −7.34128e8 | − | 1.29447e8i | −2.27405 | − | 0.400976i | ||||
\(687\) | 3.31579e8 | − | 3.95160e8i | 1.02263 | − | 1.21872i | ||||
\(688\) | 4.32682e8 | + | 1.57483e8i | 1.32863 | + | 0.483581i | ||||
\(689\) | 3.81890e8 | − | 1.38996e8i | 1.16756 | − | 0.424958i | ||||
\(690\) | 1.80651e8 | − | 1.51584e8i | 0.549912 | − | 0.461431i | ||||
\(691\) | −2.17163e8 | − | 3.76137e8i | −0.658190 | − | 1.14002i | −0.981084 | − | 0.193583i | \(-0.937989\pi\) |
0.322894 | − | 0.946435i | \(-0.395344\pi\) | |||||||
\(692\) | −3.22479e7 | − | 1.86184e7i | −0.0973159 | − | 0.0561854i | ||||
\(693\) | −2.65530e7 | − | 1.50590e8i | −0.0797836 | − | 0.452476i | ||||
\(694\) | −3.02835e8 | + | 5.33979e7i | −0.905998 | + | 0.159752i | ||||
\(695\) | −2.81365e6 | + | 4.87338e6i | −0.00838137 | + | 0.0145170i | ||||
\(696\) | −2.39815e8 | + | 1.38457e8i | −0.711294 | + | 0.410666i | ||||
\(697\) | −3.85869e7 | − | 4.59860e7i | −0.113957 | − | 0.135809i | ||||
\(698\) | 1.96772e8 | + | 5.40627e8i | 0.578625 | + | 1.58976i | ||||
\(699\) | −2.31000e8 | + | 6.34667e8i | −0.676364 | + | 1.85829i | ||||
\(700\) | 7.88504e8 | + | 6.61634e8i | 2.29885 | + | 1.92896i | ||||
\(701\) | 8.39819e7 | − | 4.76285e8i | 0.243799 | − | 1.38265i | −0.579467 | − | 0.814996i | \(-0.696739\pi\) |
0.823266 | − | 0.567657i | \(-0.192150\pi\) | |||||||
\(702\) | 7.78767e8i | 2.25111i | ||||||||
\(703\) | −8.10740e7 | − | 1.04268e8i | −0.233354 | − | 0.300112i | ||||
\(704\) | 2.46452e8 | 0.706341 | ||||||||
\(705\) | −7.00321e7 | − | 1.23485e7i | −0.199862 | − | 0.0352410i | ||||
\(706\) | −4.82058e8 | + | 5.74494e8i | −1.36989 | + | 1.63257i | ||||
\(707\) | −1.99962e8 | − | 7.27802e7i | −0.565834 | − | 0.205947i | ||||
\(708\) | 7.91860e8 | − | 2.88214e8i | 2.23125 | − | 0.812110i | ||||
\(709\) | −3.56113e8 | + | 2.98815e8i | −0.999194 | + | 0.838423i | −0.986873 | − | 0.161501i | \(-0.948367\pi\) |
−0.0123212 | + | 0.999924i | \(0.503922\pi\) | |||||||
\(710\) | 1.92465e7 | + | 3.33359e7i | 0.0537744 | + | 0.0931401i | ||||
\(711\) | 1.09594e7 | + | 6.32741e6i | 0.0304914 | + | 0.0176042i | ||||
\(712\) | 1.18742e8 | + | 6.73417e8i | 0.328975 | + | 1.86571i | ||||
\(713\) | −3.96996e8 | + | 7.00012e7i | −1.09526 | + | 0.193124i | ||||
\(714\) | 7.66617e7 | − | 1.32782e8i | 0.210612 | − | 0.364791i | ||||
\(715\) | 1.86321e8 | − | 1.07573e8i | 0.509735 | − | 0.294296i | ||||
\(716\) | −7.53410e8 | − | 8.97879e8i | −2.05254 | − | 2.44612i | ||||
\(717\) | 1.11723e8 | + | 3.06956e8i | 0.303099 | + | 0.832758i | ||||
\(718\) | 3.83553e8 | − | 1.05380e9i | 1.03622 | − | 2.84699i | ||||
\(719\) | −8.38114e7 | − | 7.03261e7i | −0.225484 | − | 0.189204i | 0.523046 | − | 0.852305i | \(-0.324796\pi\) |
−0.748530 | + | 0.663101i | \(0.769240\pi\) | |||||||
\(720\) | 8.42281e6 | − | 4.77681e7i | 0.0225663 | − | 0.127980i | ||||
\(721\) | − | 6.04058e8i | − | 1.61166i | ||||||
\(722\) | −2.71861e8 | + | 6.03062e8i | −0.722328 | + | 1.60232i | ||||
\(723\) | −2.76799e8 | −0.732403 | ||||||||
\(724\) | −3.60356e7 | − | 6.35405e6i | −0.0949546 | − | 0.0167431i | ||||
\(725\) | −8.01524e7 | + | 9.55219e7i | −0.210331 | + | 0.250662i | ||||
\(726\) | 1.32727e7 | + | 4.83088e6i | 0.0346857 | + | 0.0126246i | ||||
\(727\) | −1.67480e8 | + | 6.09579e7i | −0.435874 | + | 0.158645i | −0.550632 | − | 0.834748i | \(-0.685613\pi\) |
0.114758 | + | 0.993394i | \(0.463391\pi\) | |||||||
\(728\) | 1.47448e9 | − | 1.23724e9i | 3.82160 | − | 3.20670i | ||||
\(729\) | 1.16006e8 | + | 2.00928e8i | 0.299432 | + | 0.518631i | ||||
\(730\) | 1.06246e8 | + | 6.13412e7i | 0.273114 | + | 0.157683i | ||||
\(731\) | −9.56757e6 | − | 5.42604e7i | −0.0244934 | − | 0.138909i | ||||
\(732\) | −3.72247e8 | + | 6.56371e7i | −0.949068 | + | 0.167346i | ||||
\(733\) | 6.04996e7 | − | 1.04788e8i | 0.153617 | − | 0.266073i | −0.778937 | − | 0.627102i | \(-0.784241\pi\) |
0.932555 | + | 0.361029i | \(0.117574\pi\) | |||||||
\(734\) | −5.47886e8 | + | 3.16322e8i | −1.38549 | + | 0.799910i | ||||
\(735\) | 1.92231e8 | + | 2.29092e8i | 0.484130 | + | 0.576963i | ||||
\(736\) | 4.32814e7 | + | 1.18915e8i | 0.108559 | + | 0.298265i | ||||
\(737\) | −1.51624e8 | + | 4.16583e8i | −0.378761 | + | 1.04064i | ||||
\(738\) | 2.05603e8 | + | 1.72521e8i | 0.511517 | + | 0.429214i | ||||
\(739\) | 6.69498e7 | − | 3.79691e8i | 0.165888 | − | 0.940800i | −0.782255 | − | 0.622958i | \(-0.785931\pi\) |
0.948144 | − | 0.317842i | \(-0.102958\pi\) | |||||||
\(740\) | − | 1.20242e8i | − | 0.296730i | ||||||
\(741\) | −5.65623e8 | + | 4.39803e8i | −1.39018 | + | 1.08095i | ||||
\(742\) | −9.54118e8 | −2.33556 | ||||||||
\(743\) | 4.12279e8 | + | 7.26958e7i | 1.00513 | + | 0.177232i | 0.651902 | − | 0.758303i | \(-0.273971\pi\) |
0.353233 | + | 0.935535i | \(0.385082\pi\) | |||||||
\(744\) | −6.56156e8 | + | 7.81976e8i | −1.59327 | + | 1.89878i | ||||
\(745\) | 3.13736e7 | + | 1.14190e7i | 0.0758744 | + | 0.0276160i | ||||
\(746\) | 6.85790e8 | − | 2.49607e8i | 1.65187 | − | 0.601230i | ||||
\(747\) | 9.97142e7 | − | 8.36701e7i | 0.239219 | − | 0.200728i | ||||
\(748\) | 5.61466e7 | + | 9.72488e7i | 0.134159 | + | 0.232370i | ||||
\(749\) | 9.36950e8 | + | 5.40949e8i | 2.22983 | + | 1.28739i | ||||
\(750\) | −1.00964e8 | − | 5.72593e8i | −0.239321 | − | 1.35726i | ||||
\(751\) | 7.65920e8 | − | 1.35052e8i | 1.80827 | − | 0.318847i | 0.835304 | − | 0.549789i | \(-0.185292\pi\) |
0.972968 | + | 0.230942i | \(0.0741806\pi\) | |||||||
\(752\) | 1.30595e8 | − | 2.26197e8i | 0.307095 | − | 0.531904i | ||||
\(753\) | 7.10153e8 | − | 4.10007e8i | 1.66329 | − | 0.960298i | ||||
\(754\) | 2.87490e8 | + | 3.42618e8i | 0.670671 | + | 0.799274i | ||||
\(755\) | −1.75738e7 | − | 4.82835e7i | −0.0408342 | − | 0.112191i | ||||
\(756\) | 4.22906e8 | − | 1.16192e9i | 0.978765 | − | 2.68913i | ||||
\(757\) | 1.51735e8 | + | 1.27321e8i | 0.349782 | + | 0.293502i | 0.800703 | − | 0.599062i | \(-0.204460\pi\) |
−0.450920 | + | 0.892564i | \(0.648904\pi\) | |||||||
\(758\) | −1.49002e8 | + | 8.45035e8i | −0.342126 | + | 1.94029i | ||||
\(759\) | − | 4.82426e8i | − | 1.10333i | ||||||
\(760\) | −2.77560e8 | + | 1.46756e8i | −0.632290 | + | 0.334315i | ||||
\(761\) | −3.02170e8 | −0.685642 | −0.342821 | − | 0.939401i | \(-0.611382\pi\) | ||||
−0.342821 | + | 0.939401i | \(0.611382\pi\) | |||||||
\(762\) | −8.05544e8 | − | 1.42039e8i | −1.82064 | − | 0.321028i | ||||
\(763\) | −5.38305e8 | + | 6.41527e8i | −1.21187 | + | 1.44425i | ||||
\(764\) | −1.70513e8 | − | 6.20616e7i | −0.382364 | − | 0.139169i | ||||
\(765\) | −5.45407e6 | + | 1.98512e6i | −0.0121825 | + | 0.00443407i | ||||
\(766\) | 7.46599e8 | − | 6.26471e8i | 1.66112 | − | 1.39385i | ||||
\(767\) | −3.54789e8 | − | 6.14513e8i | −0.786292 | − | 1.36190i | ||||
\(768\) | −9.01878e8 | − | 5.20699e8i | −1.99097 | − | 1.14949i | ||||
\(769\) | 4.05850e7 | + | 2.30169e8i | 0.0892456 | + | 0.506137i | 0.996359 | + | 0.0852517i | \(0.0271694\pi\) |
−0.907114 | + | 0.420885i | \(0.861719\pi\) | |||||||
\(770\) | −4.97432e8 | + | 8.77106e7i | −1.08959 | + | 0.192123i | ||||
\(771\) | 1.97752e8 | − | 3.42517e8i | 0.431477 | − | 0.747341i | ||||
\(772\) | −5.45583e8 | + | 3.14992e8i | −1.18579 | + | 0.684618i | ||||
\(773\) | 4.38278e7 | + | 5.22319e7i | 0.0948880 | + | 0.113083i | 0.811399 | − | 0.584493i | \(-0.198706\pi\) |
−0.716511 | + | 0.697576i | \(0.754262\pi\) | |||||||
\(774\) | 8.42531e7 | + | 2.31484e8i | 0.181703 | + | 0.499226i | ||||
\(775\) | −1.57215e8 | + | 4.31944e8i | −0.337745 | + | 0.927946i | ||||
\(776\) | −1.79836e8 | − | 1.50900e8i | −0.384850 | − | 0.322927i | ||||
\(777\) | −5.83213e7 | + | 3.30757e8i | −0.124327 | + | 0.705091i | ||||
\(778\) | 1.91222e7i | 0.0406068i | ||||||||
\(779\) | 2.45119e7 | − | 6.58146e8i | 0.0518519 | − | 1.39223i | ||||
\(780\) | −6.52280e8 | −1.37452 | ||||||||
\(781\) | 7.75492e7 | + | 1.36740e7i | 0.162789 | + | 0.0287040i | ||||
\(782\) | 6.66212e7 | − | 7.93961e7i | 0.139313 | − | 0.166027i | ||||
\(783\) | 1.40759e8 | + | 5.12321e7i | 0.293219 | + | 0.106723i | ||||
\(784\) | −1.03217e9 | + | 3.75681e8i | −2.14193 | + | 0.779598i | ||||
\(785\) | 8.02416e7 | − | 6.73307e7i | 0.165879 | − | 0.139189i | ||||
\(786\) | 7.15624e7 | + | 1.23950e8i | 0.147373 | + | 0.255257i | ||||
\(787\) | −4.06375e8 | − | 2.34621e8i | −0.833687 | − | 0.481330i | 0.0214261 | − | 0.999770i | \(-0.493179\pi\) |
−0.855114 | + | 0.518441i | \(0.826513\pi\) | |||||||
\(788\) | 2.11933e7 | + | 1.20193e8i | 0.0433131 | + | 0.245641i | ||||
\(789\) | −6.00903e8 | + | 1.05955e8i | −1.22341 | + | 0.215721i | ||||
\(790\) | 2.09009e7 | − | 3.62014e7i | 0.0423919 | − | 0.0734250i | ||||
\(791\) | −6.44773e8 | + | 3.72260e8i | −1.30280 | + | 0.752171i | ||||
\(792\) | −1.68249e8 | − | 2.00511e8i | −0.338670 | − | 0.403611i | ||||
\(793\) | 1.08860e8 | + | 2.99090e8i | 0.218298 | + | 0.599768i | ||||
\(794\) | −6.78378e7 | + | 1.86383e8i | −0.135522 | + | 0.372344i | ||||
\(795\) | 1.29132e8 | + | 1.08355e8i | 0.256999 | + | 0.215648i | ||||
\(796\) | −4.36877e7 | + | 2.47765e8i | −0.0866203 | + | 0.491248i | ||||
\(797\) | − | 3.35522e8i | − | 0.662744i | −0.943500 | − | 0.331372i | \(-0.892488\pi\) | ||
0.943500 | − | 0.331372i | \(-0.107512\pi\) | |||||||
\(798\) | 1.60100e9 | − | 5.16094e8i | 3.15053 | − | 1.01559i | ||||
\(799\) | −3.12539e7 | −0.0612723 | ||||||||
\(800\) | 1.42105e8 | + | 2.50569e7i | 0.277548 | + | 0.0489392i | ||||
\(801\) | −8.91453e7 | + | 1.06239e8i | −0.173461 | + | 0.206722i | ||||
\(802\) | −1.62679e8 | − | 5.92103e7i | −0.315361 | − | 0.114782i | ||||
\(803\) | 2.35838e8 | − | 8.58379e7i | 0.455477 | − | 0.165780i | ||||
\(804\) | 1.02961e9 | − | 8.63945e8i | 1.98109 | − | 1.66233i | ||||
\(805\) | 1.57644e8 | + | 2.73048e8i | 0.302197 | + | 0.523421i | ||||
\(806\) | 1.42784e9 | + | 8.24364e8i | 2.72693 | + | 1.57440i | ||||
\(807\) | 6.55399e7 | + | 3.71695e8i | 0.124705 | + | 0.707239i | ||||
\(808\) | −3.58719e8 | + | 6.32518e7i | −0.680018 | + | 0.119906i | ||||
\(809\) | −3.89883e8 | + | 6.75298e8i | −0.736358 | + | 1.27541i | 0.217767 | + | 0.976001i | \(0.430123\pi\) |
−0.954125 | + | 0.299409i | \(0.903211\pi\) | |||||||
\(810\) | −3.62160e8 | + | 2.09093e8i | −0.681469 | + | 0.393446i | ||||
\(811\) | 3.96156e8 | + | 4.72121e8i | 0.742684 | + | 0.885096i | 0.996622 | − | 0.0821244i | \(-0.0261705\pi\) |
−0.253938 | + | 0.967220i | \(0.581726\pi\) | |||||||
\(812\) | −2.42880e8 | − | 6.67308e8i | −0.453653 | − | 1.24640i | ||||
\(813\) | 1.71124e8 | − | 4.70160e8i | 0.318449 | − | 0.874931i | ||||
\(814\) | −2.78626e8 | − | 2.33795e8i | −0.516593 | − | 0.433473i | ||||
\(815\) | −4.71452e7 | + | 2.67373e8i | −0.0870892 | + | 0.493907i | ||||
\(816\) | − | 9.94940e7i | − | 0.183116i | ||||||
\(817\) | 3.21514e8 | − | 5.11884e8i | 0.589568 | − | 0.938653i | ||||
\(818\) | 1.42229e9 | 2.59854 | ||||||||
\(819\) | 3.84445e8 | + | 6.77881e7i | 0.699815 | + | 0.123396i | ||||
\(820\) | 3.85403e8 | − | 4.59306e8i | 0.698995 | − | 0.833029i | ||||
\(821\) | −8.39004e8 | − | 3.05373e8i | −1.51612 | − | 0.551824i | −0.555947 | − | 0.831218i | \(-0.687644\pi\) |
−0.960177 | + | 0.279394i | \(0.909866\pi\) | |||||||
\(822\) | 7.77621e8 | − | 2.83031e8i | 1.40008 | − | 0.509587i | ||||
\(823\) | 5.63932e8 | − | 4.73195e8i | 1.01164 | − | 0.848870i | 0.0230888 | − | 0.999733i | \(-0.492650\pi\) |
0.988555 | + | 0.150864i | \(0.0482055\pi\) | |||||||
\(824\) | −5.16999e8 | − | 8.95468e8i | −0.924077 | − | 1.60055i | ||||
\(825\) | −4.76397e8 | − | 2.75048e8i | −0.848412 | − | 0.489831i | ||||
\(826\) | 2.89281e8 | + | 1.64060e9i | 0.513311 | + | 2.91113i | ||||
\(827\) | 8.37222e8 | − | 1.47625e8i | 1.48021 | − | 0.261002i | 0.625550 | − | 0.780184i | \(-0.284875\pi\) |
0.854663 | + | 0.519183i | \(0.173764\pi\) | |||||||
\(828\) | −1.56694e8 | + | 2.71402e8i | −0.276033 | + | 0.478104i | ||||
\(829\) | 4.73812e7 | − | 2.73556e7i | 0.0831654 | − | 0.0480156i | −0.457841 | − | 0.889034i | \(-0.651377\pi\) |
0.541006 | + | 0.841019i | \(0.318044\pi\) | |||||||
\(830\) | −2.76382e8 | − | 3.29379e8i | −0.483365 | − | 0.576051i | ||||
\(831\) | 7.34383e7 | + | 2.01770e8i | 0.127973 | + | 0.351604i | ||||
\(832\) | −2.15191e8 | + | 5.91232e8i | −0.373641 | + | 1.02657i | ||||
\(833\) | 1.00686e8 | + | 8.44856e7i | 0.174194 | + | 0.146167i | ||||
\(834\) | 8.96154e6 | − | 5.08234e7i | 0.0154484 | − | 0.0876125i | ||||
\(835\) | − | 2.90992e8i | − | 0.499829i | ||||||
\(836\) | −2.58939e8 | + | 1.20446e9i | −0.443178 | + | 2.06146i | ||||
\(837\) | 5.52184e8 | 0.941690 | ||||||||
\(838\) | 7.18680e8 | + | 1.26723e8i | 1.22125 | + | 0.215339i | ||||
\(839\) | −4.11809e7 | + | 4.90774e7i | −0.0697284 | + | 0.0830990i | −0.799781 | − | 0.600292i | \(-0.795051\pi\) |
0.730053 | + | 0.683391i | \(0.239496\pi\) | |||||||
\(840\) | 7.50237e8 | + | 2.73064e8i | 1.26579 | + | 0.460709i | ||||
\(841\) | −4.78111e8 | + | 1.74018e8i | −0.803787 | + | 0.292555i | ||||
\(842\) | −1.38780e9 | + | 1.16451e9i | −2.32483 | + | 1.95077i | ||||
\(843\) | −2.19251e8 | − | 3.79754e8i | −0.365982 | − | 0.633899i | ||||
\(844\) | 5.27028e8 | + | 3.04280e8i | 0.876610 | + | 0.506111i | ||||
\(845\) | 5.62335e7 | + | 3.18916e8i | 0.0932019 | + | 0.528574i | ||||
\(846\) | 1.37613e8 | − | 2.42649e7i | 0.227273 | − | 0.0400744i | ||||
\(847\) | −9.44204e6 | + | 1.63541e7i | −0.0155387 | + | 0.0269139i | ||||
\(848\) | −5.36193e8 | + | 3.09571e8i | −0.879293 | + | 0.507660i | ||||
\(849\) | −7.79380e8 | − | 9.28829e8i | −1.27358 | − | 1.51779i | ||||
\(850\) | −4.04207e7 | − | 1.11055e8i | −0.0658184 | − | 0.180835i | ||||
\(851\) | −7.76507e7 | + | 2.13343e8i | −0.125996 | + | 0.346171i | ||||
\(852\) | −1.82887e8 | − | 1.53460e8i | −0.295708 | − | 0.248129i | ||||
\(853\) | 6.40060e7 | − | 3.62996e8i | 0.103127 | − | 0.584864i | −0.888824 | − | 0.458248i | \(-0.848477\pi\) |
0.991952 | − | 0.126616i | \(-0.0404117\pi\) | |||||||
\(854\) | − | 7.47252e8i | − | 1.19976i | ||||||
\(855\) | −5.89852e7 | − | 2.39909e7i | −0.0943724 | − | 0.0383839i | ||||
\(856\) | 1.85194e9 | 2.95261 | ||||||||
\(857\) | 3.14870e8 | + | 5.55200e7i | 0.500252 | + | 0.0882078i | 0.418080 | − | 0.908410i | \(-0.362703\pi\) |
0.0821718 | + | 0.996618i | \(0.473814\pi\) | |||||||
\(858\) | −1.26827e9 | + | 1.51147e9i | −2.00794 | + | 2.39297i | ||||
\(859\) | 8.66903e7 | + | 3.15527e7i | 0.136770 | + | 0.0497803i | 0.409498 | − | 0.912311i | \(-0.365704\pi\) |
−0.272728 | + | 0.962091i | \(0.587926\pi\) | |||||||
\(860\) | 5.17122e8 | − | 1.88217e8i | 0.813013 | − | 0.295913i | ||||
\(861\) | −1.28293e9 | + | 1.07650e9i | −2.00998 | + | 1.68658i | ||||
\(862\) | −2.77864e7 | − | 4.81274e7i | −0.0433821 | − | 0.0751399i | ||||
\(863\) | −1.02368e9 | − | 5.91024e8i | −1.59270 | − | 0.919544i | −0.992842 | − | 0.119435i | \(-0.961892\pi\) |
−0.599854 | − | 0.800109i | \(-0.704775\pi\) | |||||||
\(864\) | −3.01002e7 | − | 1.70706e8i | −0.0466689 | − | 0.264672i | ||||
\(865\) | −1.28082e7 | + | 2.25843e6i | −0.0197897 | + | 0.00348946i | ||||
\(866\) | 5.79313e8 | − | 1.00340e9i | 0.891989 | − | 1.54497i | ||||
\(867\) | 6.26411e8 | − | 3.61659e8i | 0.961174 | − | 0.554934i | ||||
\(868\) | −1.68268e9 | − | 2.00534e9i | −2.57301 | − | 3.06640i | ||||
\(869\) | −2.92476e7 | − | 8.03573e7i | −0.0445689 | − | 0.122452i | ||||
\(870\) | −6.34505e7 | + | 1.74329e8i | −0.0963557 | + | 0.264735i | ||||
\(871\) | −8.66982e8 | − | 7.27484e8i | −1.31207 | − | 1.10095i | ||||
\(872\) | −2.48927e8 | + | 1.41174e9i | −0.375425 | + | 2.12914i | ||||
\(873\) | − | 4.76125e7i | − | 0.0715613i | ||||||
\(874\) | 1.12639e9 | − | 1.55640e8i | 1.68716 | − | 0.233124i | ||||
\(875\) | 7.77349e8 | 1.16036 | ||||||||
\(876\) | −7.49344e8 | − | 1.32130e8i | −1.11473 | − | 0.196557i | ||||
\(877\) | 5.59051e8 | − | 6.66251e8i | 0.828805 | − | 0.987732i | −0.171191 | − | 0.985238i | \(-0.554762\pi\) |
0.999997 | − | 0.00249408i | \(-0.000793890\pi\) | |||||||
\(878\) | 4.21700e8 | + | 1.53486e8i | 0.623046 | + | 0.226770i | ||||
\(879\) | −8.13367e8 | + | 2.96042e8i | −1.19762 | + | 0.435899i | ||||
\(880\) | −2.51087e8 | + | 2.10687e8i | −0.368448 | + | 0.309165i | ||||
\(881\) | −3.63008e8 | − | 6.28748e8i | −0.530870 | − | 0.919494i | −0.999351 | − | 0.0360203i | \(-0.988532\pi\) |
0.468481 | − | 0.883474i | \(-0.344801\pi\) | |||||||
\(882\) | −5.08920e8 | − | 2.93825e8i | −0.741726 | − | 0.428236i | ||||
\(883\) | −1.37057e8 | − | 7.77290e8i | −0.199076 | − | 1.12902i | −0.906493 | − | 0.422221i | \(-0.861251\pi\) |
0.707416 | − | 0.706797i | \(-0.249861\pi\) | |||||||
\(884\) | −2.82322e8 | + | 4.97810e7i | −0.408684 | + | 0.0720621i | ||||
\(885\) | 1.47163e8 | − | 2.54893e8i | 0.212309 | − | 0.367729i | ||||
\(886\) | −1.70721e9 | + | 9.85661e8i | −2.45464 | + | 1.41718i | ||||
\(887\) | 7.00198e8 | + | 8.34463e8i | 1.00334 | + | 1.19574i | 0.980604 | + | 0.195998i | \(0.0627945\pi\) |
0.0227400 | + | 0.999741i | \(0.492761\pi\) | |||||||
\(888\) | 1.96630e8 | + | 5.40237e8i | 0.280809 | + | 0.771516i | ||||
\(889\) | 3.74034e8 | − | 1.02765e9i | 0.532361 | − | 1.46265i | ||||
\(890\) | 3.50932e8 | + | 2.94467e8i | 0.497798 | + | 0.417702i | ||||
\(891\) | −1.48554e8 | + | 8.42494e8i | −0.210016 | + | 1.19106i | ||||
\(892\) | − | 8.55334e8i | − | 1.20515i | ||||||
\(893\) | −2.54284e8 | − | 2.30029e8i | −0.357080 | − | 0.323019i | ||||
\(894\) | −3.06190e8 | −0.428528 | ||||||||
\(895\) | −4.03162e8 | − | 7.10884e7i | −0.562356 | − | 0.0991585i | ||||
\(896\) | 1.20232e9 | − | 1.43287e9i | 1.67146 | − | 1.99197i | ||||
\(897\) | 1.15733e9 | + | 4.21233e8i | 1.60354 | + | 0.583640i | ||||
\(898\) | −5.75346e8 | + | 2.09409e8i | −0.794512 | + | 0.289179i | ||||
\(899\) | 2.42933e8 | − | 2.03845e8i | 0.334355 | − | 0.280557i | ||||
\(900\) | 1.78673e8 | + | 3.09471e8i | 0.245094 | + | 0.424515i | ||||
\(901\) | 6.41607e7 | + | 3.70432e7i | 0.0877192 | + | 0.0506447i | ||||
\(902\) | −3.14941e8 | − | 1.78612e9i | −0.429150 | − | 2.43383i | ||||
\(903\) | −1.51377e9 | + | 2.66918e8i | −2.05587 | + | 0.362505i | ||||
\(904\) | −6.37217e8 | + | 1.10369e9i | −0.862546 | + | 1.49397i | ||||
\(905\) | −1.10682e7 | + | 6.39021e6i | −0.0149324 | + | 0.00862124i | ||||
\(906\) | 3.02896e8 | + | 3.60977e8i | 0.407295 | + | 0.485395i | ||||
\(907\) | −4.07786e7 | − | 1.12038e8i | −0.0546525 | − | 0.150156i | 0.909362 | − | 0.416005i | \(-0.136570\pi\) |
−0.964015 | + | 0.265849i | \(0.914348\pi\) | |||||||
\(908\) | −8.85381e8 | + | 2.43256e9i | −1.18269 | + | 3.24943i | ||||
\(909\) | −5.65920e7 | − | 4.74863e7i | −0.0753466 | − | 0.0632233i | ||||
\(910\) | 2.23920e8 | − | 1.26991e9i | 0.297145 | − | 1.68519i | ||||
\(911\) | 1.22423e9i | 1.61922i | 0.586966 | + | 0.809612i | \(0.300322\pi\) | ||||
−0.586966 | + | 0.809612i | \(0.699678\pi\) | |||||||
\(912\) | 7.32277e8 | − | 8.09491e8i | 0.965363 | − | 1.06715i | ||||
\(913\) | −8.79602e8 | −1.15578 | ||||||||
\(914\) | −4.14793e8 | − | 7.31392e7i | −0.543242 | − | 0.0957882i | ||||
\(915\) | −8.48617e7 | + | 1.01134e8i | −0.110777 | + | 0.132019i | ||||
\(916\) | 2.12785e9 | + | 7.74473e8i | 2.76856 | + | 1.00767i | ||||
\(917\) | −1.79814e8 | + | 6.54468e7i | −0.233193 | + | 0.0848752i | ||||
\(918\) | −1.08755e8 | + | 9.12561e7i | −0.140579 | + | 0.117960i | ||||
\(919\) | 5.12237e8 | + | 8.87220e8i | 0.659970 | + | 1.14310i | 0.980623 | + | 0.195905i | \(0.0627645\pi\) |
−0.320653 | + | 0.947197i | \(0.603902\pi\) | |||||||
\(920\) | 4.67390e8 | + | 2.69848e8i | 0.600228 | + | 0.346542i | ||||
\(921\) | −2.56792e8 | − | 1.45634e9i | −0.328702 | − | 1.86416i | ||||
\(922\) | 4.91818e8 | − | 8.67209e7i | 0.627497 | − | 0.110645i | ||||
\(923\) | −1.00516e8 | + | 1.74099e8i | −0.127829 | + | 0.221407i | ||||
\(924\) | 2.71306e9 | − | 1.56639e9i | 3.43909 | − | 1.98556i | ||||
\(925\) | 1.66406e8 | + | 1.98315e8i | 0.210253 | + | 0.250570i | ||||
\(926\) | −6.13455e8 | − | 1.68545e9i | −0.772591 | − | 2.12268i | ||||
\(927\) | 7.17249e7 | − | 1.97062e8i | 0.0900390 | − | 0.247380i | ||||
\(928\) | −7.62607e7 | − | 6.39903e7i | −0.0954238 | − | 0.0800701i | ||||
\(929\) | −1.07363e8 | + | 6.08884e8i | −0.133908 | + | 0.759430i | 0.841706 | + | 0.539936i | \(0.181552\pi\) |
−0.975614 | + | 0.219494i | \(0.929559\pi\) | |||||||
\(930\) | 6.83875e8i | 0.850213i | ||||||||
\(931\) | 1.97375e8 | + | 1.42843e9i | 0.244592 | + | 1.77015i | ||||
\(932\) | −2.96480e9 | −3.66224 | ||||||||
\(933\) | 1.35624e9 | + | 2.39141e8i | 1.66990 | + | 0.294448i | ||||
\(934\) | −7.16892e7 | + | 8.54359e7i | −0.0879859 | + | 0.104858i | ||||
\(935\) | 3.68557e7 | + | 1.34144e7i | 0.0450889 | + | 0.0164110i | ||||
\(936\) | 6.27929e8 | − | 2.28547e8i | 0.765742 | − | 0.278707i | ||||
\(937\) | 8.69921e8 | − | 7.29950e8i | 1.05745 | − | 0.887308i | 0.0635952 | − | 0.997976i | \(-0.479743\pi\) |
0.993857 | + | 0.110668i | \(0.0352989\pi\) | |||||||
\(938\) | 1.32854e9 | + | 2.30111e9i | 1.60978 | + | 2.78823i | ||||
\(939\) | 1.02929e9 | + | 5.94261e8i | 1.24320 | + | 0.717762i | ||||
\(940\) | −5.42064e7 | − | 3.07420e8i | −0.0652630 | − | 0.370125i | ||||
\(941\) | 5.11812e8 | − | 9.02463e7i | 0.614245 | − | 0.108308i | 0.142135 | − | 0.989847i | \(-0.454603\pi\) |
0.472111 | + | 0.881539i | \(0.343492\pi\) | |||||||
\(942\) | −4.80318e8 | + | 8.31935e8i | −0.574614 | + | 0.995261i | ||||
\(943\) | −9.80427e8 | + | 5.66050e8i | −1.16918 | + | 0.675024i | ||||
\(944\) | 6.94874e8 | + | 8.28119e8i | 0.826019 | + | 0.984411i | ||||
\(945\) | −1.47710e8 | − | 4.05829e8i | −0.175030 | − | 0.480892i | ||||
\(946\) | 5.69337e8 | − | 1.56424e9i | 0.672506 | − | 1.84769i | ||||
\(947\) | −3.50405e7 | − | 2.94025e7i | −0.0412591 | − | 0.0346205i | 0.621925 | − | 0.783077i | \(-0.286351\pi\) |
−0.663184 | + | 0.748456i | \(0.730795\pi\) | |||||||
\(948\) | −4.50207e7 | + | 2.55325e8i | −0.0528429 | + | 0.299687i | ||||
\(949\) | 6.40718e8i | 0.749667i | ||||||||
\(950\) | 4.88500e8 | − | 1.20105e9i | 0.569762 | − | 1.40084i | ||||
\(951\) | 1.68468e8 | 0.195874 | ||||||||
\(952\) | 3.45560e8 | + | 6.09315e7i | 0.400509 | + | 0.0706205i | ||||
\(953\) | 1.52742e8 | − | 1.82030e8i | 0.176473 | − | 0.210312i | −0.670556 | − | 0.741859i | \(-0.733944\pi\) |
0.847029 | + | 0.531546i | \(0.178389\pi\) | |||||||
\(954\) | −3.11263e8 | − | 1.13290e8i | −0.358494 | − | 0.130481i | ||||
\(955\) | −5.95555e7 | + | 2.16764e7i | −0.0683773 | + | 0.0248873i | ||||
\(956\) | −1.09845e9 | + | 9.21707e8i | −1.25720 | + | 1.05492i | ||||
\(957\) | 1.89757e8 | + | 3.28669e8i | 0.216502 | + | 0.374993i | ||||
\(958\) | −1.19263e9 | − | 6.88564e8i | −1.35646 | − | 0.783155i | ||||
\(959\) | 1.92121e8 | + | 1.08957e9i | 0.217830 | + | 1.23538i | ||||
\(960\) | −2.57011e8 | + | 4.53179e7i | −0.290494 | + | 0.0512220i | ||||
\(961\) | 1.40763e8 | − | 2.43809e8i | 0.158606 | − | 0.274713i | ||||
\(962\) | 8.04152e8 | − | 4.64278e8i | 0.903261 | − | 0.521498i | ||||
\(963\) | 2.41431e8 | + | 2.87726e8i | 0.270342 | + | 0.322181i | ||||
\(964\) | −4.15577e8 | − | 1.14179e9i | −0.463896 | − | 1.27454i | ||||
\(965\) | −7.52569e7 | + | 2.06767e8i | −0.0837461 | + | 0.230091i | ||||
\(966\) | −2.21501e9 | − | 1.85861e9i | −2.45722 | − | 2.06185i | ||||
\(967\) | 8.66765e7 | − | 4.91567e8i | 0.0958565 | − | 0.543629i | −0.898625 | − | 0.438718i | \(-0.855433\pi\) |
0.994482 | − | 0.104912i | \(-0.0334560\pi\) | |||||||
\(968\) | 3.23249e7i | 0.0356378i | ||||||||
\(969\) | −1.27698e8 | − | 2.74529e7i | −0.140350 | − | 0.0301729i | ||||
\(970\) | −1.57275e8 | −0.172323 | ||||||||
\(971\) | −8.61595e8 | − | 1.51922e8i | −0.941121 | − | 0.165945i | −0.318018 | − | 0.948085i | \(-0.603017\pi\) |
−0.623103 | + | 0.782140i | \(0.714128\pi\) | |||||||
\(972\) | 6.55315e8 | − | 7.80974e8i | 0.713595 | − | 0.850429i | ||||
\(973\) | 6.48366e7 | + | 2.35986e7i | 0.0703852 | + | 0.0256181i | ||||
\(974\) | −1.91620e9 | + | 6.97441e8i | −2.07379 | + | 0.754798i | ||||
\(975\) | 1.07580e9 | − | 9.02704e8i | 1.16069 | − | 0.973939i | ||||
\(976\) | −2.42452e8 | − | 4.19939e8i | −0.260781 | − | 0.451686i | ||||
\(977\) | 7.45110e8 | + | 4.30189e8i | 0.798981 | + | 0.461292i | 0.843115 | − | 0.537734i | \(-0.180719\pi\) |
−0.0441336 | + | 0.999026i | \(0.514053\pi\) | |||||||
\(978\) | −4.32365e8 | − | 2.45206e9i | −0.462204 | − | 2.62129i | ||||
\(979\) | 9.22923e8 | − | 1.62736e8i | 0.983598 | − | 0.173435i | ||||
\(980\) | −6.56389e8 | + | 1.13690e9i | −0.697402 | + | 1.20794i | ||||
\(981\) | −2.51786e8 | + | 1.45369e8i | −0.266701 | + | 0.153980i | ||||
\(982\) | 3.17785e8 | + | 3.78721e8i | 0.335582 | + | 0.399931i | ||||
\(983\) | 4.29863e7 | + | 1.18104e8i | 0.0452553 | + | 0.124338i | 0.960261 | − | 0.279102i | \(-0.0900367\pi\) |
−0.915006 | + | 0.403440i | \(0.867815\pi\) | |||||||
\(984\) | −9.80485e8 | + | 2.69386e9i | −1.02910 | + | 2.82742i | ||||
\(985\) | 3.26548e7 | + | 2.74006e7i | 0.0341695 | + | 0.0286716i | ||||
\(986\) | −1.41584e7 | + | 8.02960e7i | −0.0147700 | + | 0.0837651i | ||||
\(987\) | 8.71928e8i | 0.906837i | ||||||||
\(988\) | −2.66338e9 | − | 1.67287e9i | −2.76161 | − | 1.73457i | ||||
\(989\) | −1.03907e9 | −1.07412 | ||||||||
\(990\) | −1.72692e8 | − | 3.04503e7i | −0.177978 | − | 0.0313824i | ||||
\(991\) | −8.36596e7 | + | 9.97016e7i | −0.0859597 | + | 0.102443i | −0.807310 | − | 0.590128i | \(-0.799077\pi\) |
0.721350 | + | 0.692570i | \(0.243522\pi\) | |||||||
\(992\) | −3.44846e8 | − | 1.25514e8i | −0.353257 | − | 0.128575i | ||||
\(993\) | 6.67256e8 | − | 2.42861e8i | 0.681467 | − | 0.248034i | ||||
\(994\) | 3.61551e8 | − | 3.03378e8i | 0.368138 | − | 0.308905i | ||||
\(995\) | 4.39363e7 | + | 7.61000e7i | 0.0446020 | + | 0.0772530i | ||||
\(996\) | 2.30951e9 | + | 1.33340e9i | 2.33745 | + | 1.34952i | ||||
\(997\) | 3.88258e7 | + | 2.20192e8i | 0.0391774 | + | 0.222186i | 0.998110 | − | 0.0614468i | \(-0.0195714\pi\) |
−0.958933 | + | 0.283633i | \(0.908460\pi\) | |||||||
\(998\) | 1.39310e9 | − | 2.45641e8i | 1.40149 | − | 0.247121i | ||||
\(999\) | 1.55494e8 | − | 2.69323e8i | 0.155961 | − | 0.270132i |
(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 | 19.7.f.a.2.1 | ✓ | 54 | |
19.10 | odd | 18 | inner | 19.7.f.a.10.1 | yes | 54 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
19.7.f.a.2.1 | ✓ | 54 | 1.1 | even | 1 | trivial | |
19.7.f.a.10.1 | yes | 54 | 19.10 | odd | 18 | inner |