Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [21,7,Mod(2,21)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(21, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("21.2");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 21 = 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 21.h (of order \(6\), degree \(2\), 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: | \(4.83113575602\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.4 | ||
Character | \(\chi\) | \(=\) | 21.11 |
Dual form | 21.7.h.a.2.4 |
$q$-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 \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).
\(n\) | \(8\) | \(10\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −7.42751 | + | 4.28827i | −0.928438 | + | 0.536034i | −0.886317 | − | 0.463079i | \(-0.846745\pi\) |
−0.0421209 | + | 0.999113i | \(0.513411\pi\) | |||||||
\(3\) | 19.2952 | − | 18.8863i | 0.714639 | − | 0.699494i | ||||
\(4\) | 4.77856 | − | 8.27670i | 0.0746649 | − | 0.129323i | ||||
\(5\) | −88.3745 | + | 51.0231i | −0.706996 | + | 0.408185i | −0.809948 | − | 0.586502i | \(-0.800505\pi\) |
0.102952 | + | 0.994686i | \(0.467171\pi\) | |||||||
\(6\) | −62.3258 | + | 223.022i | −0.288545 | + | 1.03251i | ||||
\(7\) | −127.732 | − | 318.329i | −0.372398 | − | 0.928073i | ||||
\(8\) | − | 466.932i | − | 0.911976i | ||||||
\(9\) | 15.6130 | − | 728.833i | 0.0214170 | − | 0.999771i | ||||
\(10\) | 437.602 | − | 757.948i | 0.437602 | − | 0.757948i | ||||
\(11\) | −1435.62 | − | 828.858i | −1.07861 | − | 0.622733i | −0.148085 | − | 0.988975i | \(-0.547311\pi\) |
−0.930520 | + | 0.366242i | \(0.880644\pi\) | |||||||
\(12\) | −64.1131 | − | 249.950i | −0.0371025 | − | 0.144647i | ||||
\(13\) | −278.963 | −0.126974 | −0.0634872 | − | 0.997983i | \(-0.520222\pi\) | ||||
−0.0634872 | + | 0.997983i | \(0.520222\pi\) | |||||||
\(14\) | 2313.81 | + | 1816.64i | 0.843227 | + | 0.662041i | ||||
\(15\) | −741.570 | + | 2653.57i | −0.219724 | + | 0.786244i | ||||
\(16\) | 2308.16 | + | 3997.85i | 0.563515 | + | 0.976037i | ||||
\(17\) | −4951.96 | − | 2859.02i | −1.00793 | − | 0.581929i | −0.0973456 | − | 0.995251i | \(-0.531035\pi\) |
−0.910585 | + | 0.413322i | \(0.864369\pi\) | |||||||
\(18\) | 3009.47 | + | 5480.36i | 0.516027 | + | 0.939705i | ||||
\(19\) | 2933.29 | + | 5080.60i | 0.427655 | + | 0.740721i | 0.996664 | − | 0.0816105i | \(-0.0260063\pi\) |
−0.569009 | + | 0.822331i | \(0.692673\pi\) | |||||||
\(20\) | 975.266i | 0.121908i | ||||||||
\(21\) | −8476.70 | − | 3729.84i | −0.915311 | − | 0.402747i | ||||
\(22\) | 14217.5 | 1.33522 | ||||||||
\(23\) | 11371.0 | − | 6565.05i | 0.934577 | − | 0.539578i | 0.0463208 | − | 0.998927i | \(-0.485250\pi\) |
0.888256 | + | 0.459348i | \(0.151917\pi\) | |||||||
\(24\) | −8818.63 | − | 9009.56i | −0.637922 | − | 0.651734i | ||||
\(25\) | −2605.79 | + | 4513.37i | −0.166771 | + | 0.288855i | ||||
\(26\) | 2072.00 | − | 1196.27i | 0.117888 | − | 0.0680626i | ||||
\(27\) | −13463.7 | − | 14357.9i | −0.684028 | − | 0.729456i | ||||
\(28\) | −3245.09 | − | 463.951i | −0.147827 | − | 0.0211348i | ||||
\(29\) | 38808.9i | 1.59124i | 0.605793 | + | 0.795622i | \(0.292856\pi\) | ||||
−0.605793 | + | 0.795622i | \(0.707144\pi\) | |||||||
\(30\) | −5871.23 | − | 22889.5i | −0.217453 | − | 0.847759i | ||||
\(31\) | 6289.55 | − | 10893.8i | 0.211123 | − | 0.365675i | −0.740944 | − | 0.671567i | \(-0.765621\pi\) |
0.952066 | + | 0.305892i | \(0.0989547\pi\) | |||||||
\(32\) | −8407.73 | − | 4854.20i | −0.256584 | − | 0.148139i | ||||
\(33\) | −43354.8 | + | 11120.6i | −1.20641 | + | 0.309448i | ||||
\(34\) | 49041.0 | 1.24774 | ||||||||
\(35\) | 27530.4 | + | 21614.9i | 0.642109 | + | 0.504138i | ||||
\(36\) | −5957.72 | − | 3611.99i | −0.127695 | − | 0.0774175i | ||||
\(37\) | −38133.2 | − | 66048.7i | −0.752832 | − | 1.30394i | −0.946445 | − | 0.322866i | \(-0.895354\pi\) |
0.193613 | − | 0.981078i | \(-0.437979\pi\) | |||||||
\(38\) | −43574.0 | − | 25157.5i | −0.794103 | − | 0.458476i | ||||
\(39\) | −5382.66 | + | 5268.58i | −0.0907409 | + | 0.0888178i | ||||
\(40\) | 23824.3 | + | 41264.9i | 0.372255 | + | 0.644764i | ||||
\(41\) | − | 57478.9i | − | 0.833983i | −0.908910 | − | 0.416991i | \(-0.863084\pi\) | ||
0.908910 | − | 0.416991i | \(-0.136916\pi\) | |||||||
\(42\) | 78955.3 | − | 8646.95i | 1.06570 | − | 0.116712i | ||||
\(43\) | −2510.49 | −0.0315757 | −0.0157879 | − | 0.999875i | \(-0.505026\pi\) | ||||
−0.0157879 | + | 0.999875i | \(0.505026\pi\) | |||||||
\(44\) | −13720.4 | + | 7921.49i | −0.161068 | + | 0.0929927i | ||||
\(45\) | 35807.5 | + | 65206.9i | 0.392949 | + | 0.715576i | ||||
\(46\) | −56305.4 | + | 97523.9i | −0.578465 | + | 1.00193i | ||||
\(47\) | 41606.0 | − | 24021.2i | 0.400739 | − | 0.231367i | −0.286064 | − | 0.958211i | \(-0.592347\pi\) |
0.686803 | + | 0.726844i | \(0.259014\pi\) | |||||||
\(48\) | 120041. | + | 33546.8i | 1.08544 | + | 0.303338i | ||||
\(49\) | −85017.9 | + | 81321.9i | −0.722640 | + | 0.691224i | ||||
\(50\) | − | 44697.4i | − | 0.357579i | ||||||
\(51\) | −149546. | + | 38359.0i | −1.12736 | + | 0.289172i | ||||
\(52\) | −1333.04 | + | 2308.89i | −0.00948054 | + | 0.0164208i | ||||
\(53\) | 21710.2 | + | 12534.4i | 0.145826 | + | 0.0841928i | 0.571138 | − | 0.820854i | \(-0.306502\pi\) |
−0.425312 | + | 0.905047i | \(0.639835\pi\) | |||||||
\(54\) | 161572. | + | 48907.1i | 1.02609 | + | 0.310593i | ||||
\(55\) | 169163. | 1.01676 | ||||||||
\(56\) | −148638. | + | 59642.3i | −0.846381 | + | 0.339618i | ||||
\(57\) | 152552. | + | 42632.5i | 0.823749 | + | 0.230206i | ||||
\(58\) | −166423. | − | 288253.i | −0.852961 | − | 1.47737i | ||||
\(59\) | 34569.8 | + | 19958.9i | 0.168322 | + | 0.0971808i | 0.581794 | − | 0.813336i | \(-0.302351\pi\) |
−0.413472 | + | 0.910517i | \(0.635684\pi\) | |||||||
\(60\) | 18419.2 | + | 18818.0i | 0.0852741 | + | 0.0871204i | ||||
\(61\) | −73338.1 | − | 127025.i | −0.323102 | − | 0.559630i | 0.658024 | − | 0.752997i | \(-0.271392\pi\) |
−0.981126 | + | 0.193367i | \(0.938059\pi\) | |||||||
\(62\) | 107885.i | 0.452676i | ||||||||
\(63\) | −234003. | + | 88125.4i | −0.935836 | + | 0.352436i | ||||
\(64\) | −212180. | −0.809401 | ||||||||
\(65\) | 24653.2 | − | 14233.5i | 0.0897705 | − | 0.0518290i | ||||
\(66\) | 274330. | − | 268516.i | 0.954203 | − | 0.933981i | ||||
\(67\) | −71608.3 | + | 124029.i | −0.238089 | + | 0.412382i | −0.960166 | − | 0.279431i | \(-0.909854\pi\) |
0.722077 | + | 0.691813i | \(0.243188\pi\) | |||||||
\(68\) | −47326.5 | + | 27324.0i | −0.150514 | + | 0.0868994i | ||||
\(69\) | 95416.5 | − | 341431.i | 0.290453 | − | 1.03933i | ||||
\(70\) | −297173. | − | 42486.8i | −0.866393 | − | 0.123868i | ||||
\(71\) | − | 619806.i | − | 1.73173i | −0.500277 | − | 0.865866i | \(-0.666768\pi\) | ||
0.500277 | − | 0.865866i | \(-0.333232\pi\) | |||||||
\(72\) | −340315. | − | 7290.22i | −0.911767 | − | 0.0195318i | ||||
\(73\) | 254284. | − | 440433.i | 0.653657 | − | 1.13217i | −0.328571 | − | 0.944479i | \(-0.606567\pi\) |
0.982229 | − | 0.187689i | \(-0.0600996\pi\) | |||||||
\(74\) | 566469. | + | 327051.i | 1.39792 | + | 0.807087i | ||||
\(75\) | 34961.5 | + | 136300.i | 0.0828717 | + | 0.323082i | ||||
\(76\) | 56067.5 | 0.127723 | ||||||||
\(77\) | −80474.0 | + | 562873.i | −0.176272 | + | 1.23293i | ||||
\(78\) | 17386.6 | − | 62214.7i | 0.0366379 | − | 0.131102i | ||||
\(79\) | 161568. | + | 279844.i | 0.327698 | + | 0.567590i | 0.982055 | − | 0.188596i | \(-0.0603937\pi\) |
−0.654356 | + | 0.756186i | \(0.727060\pi\) | |||||||
\(80\) | −407965. | − | 235539.i | −0.796806 | − | 0.460036i | ||||
\(81\) | −530953. | − | 22758.6i | −0.999083 | − | 0.0428243i | ||||
\(82\) | 246485. | + | 426925.i | 0.447043 | + | 0.774302i | ||||
\(83\) | 701690.i | 1.22719i | 0.789622 | + | 0.613594i | \(0.210277\pi\) | ||||
−0.789622 | + | 0.613594i | \(0.789723\pi\) | |||||||
\(84\) | −71377.2 | + | 52335.8i | −0.120426 | + | 0.0883001i | ||||
\(85\) | 583503. | 0.950138 | ||||||||
\(86\) | 18646.7 | − | 10765.7i | 0.0293161 | − | 0.0169257i | ||||
\(87\) | 732957. | + | 748827.i | 1.11307 | + | 1.13716i | ||||
\(88\) | −387020. | + | 670338.i | −0.567918 | + | 0.983662i | ||||
\(89\) | 630238. | − | 363868.i | 0.893994 | − | 0.516148i | 0.0187473 | − | 0.999824i | \(-0.494032\pi\) |
0.875247 | + | 0.483676i | \(0.160699\pi\) | |||||||
\(90\) | −545585. | − | 330772.i | −0.748402 | − | 0.453734i | ||||
\(91\) | 35632.6 | + | 88802.0i | 0.0472850 | + | 0.117842i | ||||
\(92\) | − | 125486.i | − | 0.161150i | ||||||
\(93\) | −84385.9 | − | 328986.i | −0.104911 | − | 0.409004i | ||||
\(94\) | −206019. | + | 356835.i | −0.248041 | + | 0.429620i | ||||
\(95\) | −518456. | − | 299331.i | −0.604702 | − | 0.349125i | ||||
\(96\) | −253907. | + | 65128.1i | −0.286987 | + | 0.0736130i | ||||
\(97\) | 1.47695e6 | 1.61827 | 0.809135 | − | 0.587623i | \(-0.199936\pi\) | ||||
0.809135 | + | 0.587623i | \(0.199936\pi\) | |||||||
\(98\) | 282741. | − | 968598.i | 0.300407 | − | 1.02912i | ||||
\(99\) | −626513. | + | 1.03339e6i | −0.645691 | + | 1.06502i | ||||
\(100\) | 24903.9 | + | 43134.8i | 0.0249039 | + | 0.0431348i | ||||
\(101\) | −1.46750e6 | − | 847260.i | −1.42434 | − | 0.822343i | −0.427673 | − | 0.903933i | \(-0.640667\pi\) |
−0.996666 | + | 0.0815908i | \(0.974000\pi\) | |||||||
\(102\) | 946258. | − | 926204.i | 0.891680 | − | 0.872783i | ||||
\(103\) | −603539. | − | 1.04536e6i | −0.552323 | − | 0.956652i | −0.998106 | − | 0.0615111i | \(-0.980408\pi\) |
0.445783 | − | 0.895141i | \(-0.352925\pi\) | |||||||
\(104\) | 130257.i | 0.115798i | ||||||||
\(105\) | 939432. | − | 102884.i | 0.811517 | − | 0.0888749i | ||||
\(106\) | −215003. | −0.180521 | ||||||||
\(107\) | 1.05422e6 | − | 608652.i | 0.860554 | − | 0.496841i | −0.00364376 | − | 0.999993i | \(-0.501160\pi\) |
0.864198 | + | 0.503152i | \(0.167827\pi\) | |||||||
\(108\) | −183173. | + | 42825.3i | −0.145409 | + | 0.0339961i | ||||
\(109\) | 530058. | − | 918087.i | 0.409302 | − | 0.708931i | −0.585510 | − | 0.810665i | \(-0.699106\pi\) |
0.994812 | + | 0.101734i | \(0.0324390\pi\) | |||||||
\(110\) | −1.25646e6 | + | 725419.i | −0.943999 | + | 0.545018i | ||||
\(111\) | −1.98321e6 | − | 554229.i | −1.45010 | − | 0.405247i | ||||
\(112\) | 977805. | − | 1.24541e6i | 0.695982 | − | 0.886457i | ||||
\(113\) | 1.93373e6i | 1.34017i | 0.742283 | + | 0.670086i | \(0.233743\pi\) | ||||
−0.742283 | + | 0.670086i | \(0.766257\pi\) | |||||||
\(114\) | −1.31590e6 | + | 337534.i | −0.888198 | + | 0.227826i | ||||
\(115\) | −669938. | + | 1.16037e6i | −0.440495 | + | 0.762960i | ||||
\(116\) | 321209. | + | 185450.i | 0.205785 | + | 0.118810i | ||||
\(117\) | −4355.45 | + | 203317.i | −0.00271942 | + | 0.126945i | ||||
\(118\) | −342357. | −0.208369 | ||||||||
\(119\) | −277583. | + | 1.94154e6i | −0.164722 | + | 1.15214i | ||||
\(120\) | 1.23904e6 | + | 346263.i | 0.717036 | + | 0.200383i | ||||
\(121\) | 488230. | + | 845638.i | 0.275593 | + | 0.477341i | ||||
\(122\) | 1.08944e6 | + | 628988.i | 0.599961 | + | 0.346388i | ||||
\(123\) | −1.08557e6 | − | 1.10907e6i | −0.583366 | − | 0.595997i | ||||
\(124\) | −60110.0 | − | 104114.i | −0.0315269 | − | 0.0546062i | ||||
\(125\) | − | 2.12629e6i | − | 1.08866i | ||||||
\(126\) | 1.36015e6 | − | 1.65802e6i | 0.679949 | − | 0.828855i | ||||
\(127\) | −1.73848e6 | −0.848711 | −0.424355 | − | 0.905496i | \(-0.639499\pi\) | ||||
−0.424355 | + | 0.905496i | \(0.639499\pi\) | |||||||
\(128\) | 2.11406e6 | − | 1.22055e6i | 1.00806 | − | 0.582005i | ||||
\(129\) | −48440.5 | + | 47413.9i | −0.0225652 | + | 0.0220870i | ||||
\(130\) | −122075. | + | 211439.i | −0.0555642 | + | 0.0962400i | ||||
\(131\) | −382494. | + | 220833.i | −0.170142 | + | 0.0982313i | −0.582653 | − | 0.812721i | \(-0.697985\pi\) |
0.412511 | + | 0.910953i | \(0.364652\pi\) | |||||||
\(132\) | −115131. | + | 411975.i | −0.0500577 | + | 0.179122i | ||||
\(133\) | 1.24263e6 | − | 1.58271e6i | 0.528185 | − | 0.672738i | ||||
\(134\) | − | 1.22830e6i | − | 0.510495i | ||||||
\(135\) | 1.92243e6 | + | 581911.i | 0.781358 | + | 0.236513i | ||||
\(136\) | −1.33497e6 | + | 2.31223e6i | −0.530706 | + | 0.919209i | ||||
\(137\) | −397020. | − | 229220.i | −0.154401 | − | 0.0891436i | 0.420809 | − | 0.907149i | \(-0.361746\pi\) |
−0.575210 | + | 0.818006i | \(0.695080\pi\) | |||||||
\(138\) | 755441. | + | 2.94515e6i | 0.287451 | + | 1.12065i | ||||
\(139\) | −2.80243e6 | −1.04349 | −0.521747 | − | 0.853100i | \(-0.674720\pi\) | ||||
−0.521747 | + | 0.853100i | \(0.674720\pi\) | |||||||
\(140\) | 310456. | − | 124573.i | 0.113140 | − | 0.0453983i | ||||
\(141\) | 349125. | − | 1.24928e6i | 0.124544 | − | 0.445659i | ||||
\(142\) | 2.65790e6 | + | 4.60361e6i | 0.928267 | + | 1.60781i | ||||
\(143\) | 400486. | + | 231220.i | 0.136955 | + | 0.0790712i | ||||
\(144\) | 2.94980e6 | − | 1.61984e6i | 0.987882 | − | 0.542482i | ||||
\(145\) | −1.98015e6 | − | 3.42972e6i | −0.649521 | − | 1.12500i | ||||
\(146\) | 4.36175e6i | 1.40153i | ||||||||
\(147\) | −104570. | + | 3.17480e6i | −0.0329195 | + | 0.999458i | ||||
\(148\) | −728887. | −0.224841 | ||||||||
\(149\) | −1.24914e6 | + | 721194.i | −0.377619 | + | 0.218019i | −0.676782 | − | 0.736184i | \(-0.736626\pi\) |
0.299163 | + | 0.954202i | \(0.403293\pi\) | |||||||
\(150\) | −844170. | − | 862447.i | −0.250124 | − | 0.255540i | ||||
\(151\) | −1.34562e6 | + | 2.33067e6i | −0.390832 | + | 0.676941i | −0.992560 | − | 0.121761i | \(-0.961146\pi\) |
0.601727 | + | 0.798701i | \(0.294479\pi\) | |||||||
\(152\) | 2.37230e6 | − | 1.36965e6i | 0.675520 | − | 0.390012i | ||||
\(153\) | −2.16106e6 | + | 3.56452e6i | −0.603383 | + | 0.995236i | ||||
\(154\) | −1.81603e6 | − | 4.52583e6i | −0.497234 | − | 1.23919i | ||||
\(155\) | 1.28365e6i | 0.344708i | ||||||||
\(156\) | 17885.2 | + | 69726.9i | 0.00471107 | + | 0.0183665i | ||||
\(157\) | 2.76937e6 | − | 4.79669e6i | 0.715619 | − | 1.23949i | −0.247102 | − | 0.968990i | \(-0.579478\pi\) |
0.962720 | − | 0.270498i | \(-0.0871885\pi\) | |||||||
\(158\) | −2.40009e6 | − | 1.38570e6i | −0.608495 | − | 0.351315i | ||||
\(159\) | 655632. | − | 168172.i | 0.163105 | − | 0.0418371i | ||||
\(160\) | 990706. | 0.241871 | ||||||||
\(161\) | −3.54229e6 | − | 2.78115e6i | −0.848802 | − | 0.666418i | ||||
\(162\) | 4.04125e6 | − | 2.10783e6i | 0.950542 | − | 0.495783i | ||||
\(163\) | 1.58521e6 | + | 2.74567e6i | 0.366037 | + | 0.633994i | 0.988942 | − | 0.148303i | \(-0.0473812\pi\) |
−0.622905 | + | 0.782297i | \(0.714048\pi\) | |||||||
\(164\) | −475736. | − | 274666.i | −0.107854 | − | 0.0622693i | ||||
\(165\) | 3.26405e6 | − | 3.19488e6i | 0.726616 | − | 0.711217i | ||||
\(166\) | −3.00904e6 | − | 5.21181e6i | −0.657814 | − | 1.13937i | ||||
\(167\) | − | 1.08256e6i | − | 0.232435i | −0.993224 | − | 0.116217i | \(-0.962923\pi\) | ||
0.993224 | − | 0.116217i | \(-0.0370769\pi\) | |||||||
\(168\) | −1.74158e6 | + | 3.95804e6i | −0.367296 | + | 0.834742i | ||||
\(169\) | −4.74899e6 | −0.983877 | ||||||||
\(170\) | −4.33397e6 | + | 2.50222e6i | −0.882144 | + | 0.509306i | ||||
\(171\) | 3.74871e6 | − | 2.05855e6i | 0.749710 | − | 0.411693i | ||||
\(172\) | −11996.5 | + | 20778.6i | −0.00235760 | + | 0.00408348i | ||||
\(173\) | 4.10478e6 | − | 2.36989e6i | 0.792777 | − | 0.457710i | −0.0481622 | − | 0.998840i | \(-0.515336\pi\) |
0.840939 | + | 0.541129i | \(0.182003\pi\) | |||||||
\(174\) | −8.65521e6 | − | 2.41879e6i | −1.64297 | − | 0.459146i | ||||
\(175\) | 1.76958e6 | + | 252997.i | 0.330184 | + | 0.0472065i | ||||
\(176\) | − | 7.65254e6i | − | 1.40368i | ||||||
\(177\) | 1.04398e6 | − | 267785.i | 0.188267 | − | 0.0482911i | ||||
\(178\) | −3.12073e6 | + | 5.40527e6i | −0.553346 | + | 0.958423i | ||||
\(179\) | 1.44503e6 | + | 834290.i | 0.251952 | + | 0.145465i | 0.620658 | − | 0.784082i | \(-0.286866\pi\) |
−0.368706 | + | 0.929546i | \(0.620199\pi\) | |||||||
\(180\) | 710806. | + | 15226.9i | 0.121880 | + | 0.00261092i | ||||
\(181\) | 9.84153e6 | 1.65969 | 0.829845 | − | 0.557994i | \(-0.188429\pi\) | ||||
0.829845 | + | 0.557994i | \(0.188429\pi\) | |||||||
\(182\) | −645468. | − | 506775.i | −0.107068 | − | 0.0840623i | ||||
\(183\) | −3.81412e6 | − | 1.06590e6i | −0.622359 | − | 0.173925i | ||||
\(184\) | −3.06543e6 | − | 5.30948e6i | −0.492083 | − | 0.852312i | ||||
\(185\) | 6.74001e6 | + | 3.89135e6i | 1.06450 | + | 0.614589i | ||||
\(186\) | 2.03756e6 | + | 2.08167e6i | 0.316644 | + | 0.323499i | ||||
\(187\) | 4.73944e6 | + | 8.20895e6i | 0.724773 | + | 1.25534i | ||||
\(188\) | − | 459147.i | − | 0.0691000i | ||||||
\(189\) | −2.85078e6 | + | 6.11986e6i | −0.422258 | + | 0.906476i | ||||
\(190\) | 5.13445e6 | 0.748571 | ||||||||
\(191\) | −3.58555e6 | + | 2.07012e6i | −0.514583 | + | 0.297095i | −0.734716 | − | 0.678375i | \(-0.762684\pi\) |
0.220132 | + | 0.975470i | \(0.429351\pi\) | |||||||
\(192\) | −4.09406e6 | + | 4.00730e6i | −0.578429 | + | 0.566171i | ||||
\(193\) | −3.10980e6 | + | 5.38633e6i | −0.432574 | + | 0.749240i | −0.997094 | − | 0.0761794i | \(-0.975728\pi\) |
0.564520 | + | 0.825419i | \(0.309061\pi\) | |||||||
\(194\) | −1.09701e7 | + | 6.33357e6i | −1.50246 | + | 0.867448i | ||||
\(195\) | 206870. | − | 740248.i | 0.0278994 | − | 0.0998329i | ||||
\(196\) | 266814. | + | 1.09227e6i | 0.0354357 | + | 0.145065i | ||||
\(197\) | 5.87728e6i | 0.768737i | 0.923180 | + | 0.384368i | \(0.125581\pi\) | ||||
−0.923180 | + | 0.384368i | \(0.874419\pi\) | |||||||
\(198\) | 221978. | − | 1.03622e7i | 0.0285966 | − | 1.33492i | ||||
\(199\) | 1.16360e6 | − | 2.01542e6i | 0.147654 | − | 0.255744i | −0.782706 | − | 0.622392i | \(-0.786161\pi\) |
0.930360 | + | 0.366648i | \(0.119495\pi\) | |||||||
\(200\) | 2.10743e6 | + | 1.21673e6i | 0.263429 | + | 0.152091i | ||||
\(201\) | 960757. | + | 3.74559e6i | 0.118311 | + | 0.461246i | ||||
\(202\) | 1.45331e7 | 1.76321 | ||||||||
\(203\) | 1.23540e7 | − | 4.95715e6i | 1.47679 | − | 0.592575i | ||||
\(204\) | −397127. | + | 1.42105e6i | −0.0467777 | + | 0.167385i | ||||
\(205\) | 2.93275e6 | + | 5.07968e6i | 0.340419 | + | 0.589623i | ||||
\(206\) | 8.96557e6 | + | 5.17628e6i | 1.02560 | + | 0.592128i | ||||
\(207\) | −4.60729e6 | − | 8.39006e6i | −0.519439 | − | 0.945919i | ||||
\(208\) | −643890. | − | 1.11525e6i | −0.0715520 | − | 0.123932i | ||||
\(209\) | − | 9.72511e6i | − | 1.06526i | ||||||
\(210\) | −6.53644e6 | + | 4.79271e6i | −0.705803 | + | 0.517516i | ||||
\(211\) | −6.47376e6 | −0.689143 | −0.344572 | − | 0.938760i | \(-0.611976\pi\) | ||||
−0.344572 | + | 0.938760i | \(0.611976\pi\) | |||||||
\(212\) | 207487. | − | 119792.i | 0.0217762 | − | 0.0125725i | ||||
\(213\) | −1.17059e7 | − | 1.19593e7i | −1.21133 | − | 1.23756i | ||||
\(214\) | −5.22013e6 | + | 9.04153e6i | −0.532647 | + | 0.922572i | ||||
\(215\) | 221863. | − | 128093.i | 0.0223239 | − | 0.0128887i | ||||
\(216\) | −6.70415e6 | + | 6.28664e6i | −0.665246 | + | 0.623817i | ||||
\(217\) | −4.27120e6 | − | 610654.i | −0.417995 | − | 0.0597608i | ||||
\(218\) | 9.09213e6i | 0.877599i | ||||||||
\(219\) | −3.41169e6 | − | 1.33007e7i | −0.324815 | − | 1.26632i | ||||
\(220\) | 808357. | − | 1.40012e6i | 0.0759163 | − | 0.131491i | ||||
\(221\) | 1.38141e6 | + | 797560.i | 0.127981 | + | 0.0738901i | ||||
\(222\) | 1.71070e7 | − | 4.38799e6i | 1.56356 | − | 0.401058i | ||||
\(223\) | 8.24843e6 | 0.743801 | 0.371901 | − | 0.928273i | \(-0.378706\pi\) | ||||
0.371901 | + | 0.928273i | \(0.378706\pi\) | |||||||
\(224\) | −471296. | + | 3.29646e6i | −0.0419324 | + | 0.293295i | ||||
\(225\) | 3.24881e6 | + | 1.96965e6i | 0.285217 | + | 0.172919i | ||||
\(226\) | −8.29237e6 | − | 1.43628e7i | −0.718378 | − | 1.24427i | ||||
\(227\) | −1.38579e7 | − | 8.00086e6i | −1.18473 | − | 0.684004i | −0.227626 | − | 0.973749i | \(-0.573096\pi\) |
−0.957104 | + | 0.289744i | \(0.906430\pi\) | |||||||
\(228\) | 1.08184e6 | − | 1.05891e6i | 0.0912761 | − | 0.0893418i | ||||
\(229\) | −8.75867e6 | − | 1.51705e7i | −0.729343 | − | 1.26326i | −0.957161 | − | 0.289556i | \(-0.906492\pi\) |
0.227818 | − | 0.973704i | \(-0.426841\pi\) | |||||||
\(230\) | − | 1.14915e7i | − | 0.944481i | ||||||
\(231\) | 9.07784e6 | + | 1.23806e7i | 0.736455 | + | 1.00440i | ||||
\(232\) | 1.81211e7 | 1.45118 | ||||||||
\(233\) | −8.78674e6 | + | 5.07303e6i | −0.694640 | + | 0.401051i | −0.805348 | − | 0.592802i | \(-0.798022\pi\) |
0.110708 | + | 0.993853i | \(0.464688\pi\) | |||||||
\(234\) | −839530. | − | 1.52882e6i | −0.0655222 | − | 0.119319i | ||||
\(235\) | −2.45127e6 | + | 4.24573e6i | −0.188881 | + | 0.327151i | ||||
\(236\) | 330388. | − | 190749.i | 0.0251355 | − | 0.0145120i | ||||
\(237\) | 8.40272e6 | + | 2.34823e6i | 0.631212 | + | 0.176399i | ||||
\(238\) | −6.26412e6 | − | 1.56112e7i | −0.464653 | − | 1.15799i | ||||
\(239\) | 3.60131e6i | 0.263795i | 0.991263 | + | 0.131898i | \(0.0421070\pi\) | ||||
−0.991263 | + | 0.131898i | \(0.957893\pi\) | |||||||
\(240\) | −1.23202e7 | + | 3.16018e6i | −0.891221 | + | 0.228601i | ||||
\(241\) | −418915. | + | 725582.i | −0.0299278 | + | 0.0518365i | −0.880601 | − | 0.473858i | \(-0.842861\pi\) |
0.850674 | + | 0.525694i | \(0.176194\pi\) | |||||||
\(242\) | −7.25266e6 | − | 4.18732e6i | −0.511742 | − | 0.295454i | ||||
\(243\) | −1.06747e7 | + | 9.58863e6i | −0.743938 | + | 0.668248i | ||||
\(244\) | −1.40180e6 | −0.0964977 | ||||||||
\(245\) | 3.36413e6 | − | 1.15247e7i | 0.228757 | − | 0.783664i | ||||
\(246\) | 1.28190e7 | + | 3.58242e6i | 0.861094 | + | 0.240642i | ||||
\(247\) | −818278. | − | 1.41730e6i | −0.0543013 | − | 0.0940526i | ||||
\(248\) | −5.08667e6 | − | 2.93679e6i | −0.333487 | − | 0.192539i | ||||
\(249\) | 1.32524e7 | + | 1.35393e7i | 0.858410 | + | 0.876996i | ||||
\(250\) | 9.11812e6 | + | 1.57931e7i | 0.583560 | + | 1.01076i | ||||
\(251\) | 1.63942e7i | 1.03674i | 0.855157 | + | 0.518370i | \(0.173461\pi\) | ||||
−0.855157 | + | 0.518370i | \(0.826539\pi\) | |||||||
\(252\) | −388809. | + | 2.35789e6i | −0.0242960 | + | 0.147340i | ||||
\(253\) | −2.17660e7 | −1.34405 | ||||||||
\(254\) | 1.29126e7 | − | 7.45509e6i | 0.787975 | − | 0.454938i | ||||
\(255\) | 1.12588e7 | − | 1.10202e7i | 0.679005 | − | 0.664615i | ||||
\(256\) | −3.67838e6 | + | 6.37114e6i | −0.219249 | + | 0.379750i | ||||
\(257\) | −3.24923e6 | + | 1.87594e6i | −0.191417 | + | 0.110515i | −0.592646 | − | 0.805463i | \(-0.701917\pi\) |
0.401229 | + | 0.915978i | \(0.368583\pi\) | |||||||
\(258\) | 156468. | − | 559893.i | 0.00911102 | − | 0.0326021i | ||||
\(259\) | −1.61544e7 | + | 2.05755e7i | −0.929802 | + | 1.18427i | ||||
\(260\) | − | 272063.i | − | 0.0154792i | ||||||
\(261\) | 2.82852e7 | + | 605924.i | 1.59088 | + | 0.0340798i | ||||
\(262\) | 1.89398e6 | − | 3.28047e6i | 0.105311 | − | 0.182403i | ||||
\(263\) | 3.67446e6 | + | 2.12145e6i | 0.201988 | + | 0.116618i | 0.597583 | − | 0.801807i | \(-0.296128\pi\) |
−0.395594 | + | 0.918425i | \(0.629461\pi\) | |||||||
\(264\) | 5.19259e6 | + | 2.02437e7i | 0.282210 | + | 1.10022i | ||||
\(265\) | −2.55817e6 | −0.137465 | ||||||||
\(266\) | −2.44255e6 | + | 1.70843e7i | −0.129777 | + | 0.907721i | ||||
\(267\) | 5.28847e6 | − | 1.89238e7i | 0.277841 | − | 0.994203i | ||||
\(268\) | 684368. | + | 1.18536e6i | 0.0355538 | + | 0.0615809i | ||||
\(269\) | −2.08782e6 | − | 1.20540e6i | −0.107260 | − | 0.0619264i | 0.445411 | − | 0.895326i | \(-0.353058\pi\) |
−0.552670 | + | 0.833400i | \(0.686391\pi\) | |||||||
\(270\) | −1.67743e7 | + | 3.92177e6i | −0.852221 | + | 0.199247i | ||||
\(271\) | −4.37442e6 | − | 7.57672e6i | −0.219792 | − | 0.380692i | 0.734952 | − | 0.678119i | \(-0.237205\pi\) |
−0.954744 | + | 0.297427i | \(0.903871\pi\) | |||||||
\(272\) | − | 2.63963e7i | − | 1.31170i | ||||||
\(273\) | 2.36468e6 | + | 1.04049e6i | 0.116221 | + | 0.0511386i | ||||
\(274\) | 3.93183e6 | 0.191136 | ||||||||
\(275\) | 7.48188e6 | − | 4.31966e6i | 0.359760 | − | 0.207707i | ||||
\(276\) | −2.36997e6 | − | 2.42128e6i | −0.112724 | − | 0.115164i | ||||
\(277\) | −5.07001e6 | + | 8.78152e6i | −0.238545 | + | 0.413172i | −0.960297 | − | 0.278980i | \(-0.910004\pi\) |
0.721752 | + | 0.692152i | \(0.243337\pi\) | |||||||
\(278\) | 2.08151e7 | − | 1.20176e7i | 0.968820 | − | 0.559349i | ||||
\(279\) | −7.84158e6 | − | 4.75412e6i | −0.361070 | − | 0.218906i | ||||
\(280\) | 1.00927e7 | − | 1.28548e7i | 0.459761 | − | 0.585588i | ||||
\(281\) | 1.33415e6i | 0.0601293i | 0.999548 | + | 0.0300646i | \(0.00957132\pi\) | ||||
−0.999548 | + | 0.0300646i | \(0.990429\pi\) | |||||||
\(282\) | 2.76412e6 | + | 1.07762e7i | 0.123257 | + | 0.480526i | ||||
\(283\) | 7.51770e6 | − | 1.30210e7i | 0.331685 | − | 0.574495i | −0.651157 | − | 0.758943i | \(-0.725716\pi\) |
0.982842 | + | 0.184448i | \(0.0590496\pi\) | |||||||
\(284\) | −5.12995e6 | − | 2.96178e6i | −0.223953 | − | 0.129300i | ||||
\(285\) | −1.56570e7 | + | 4.01607e6i | −0.676354 | + | 0.173487i | ||||
\(286\) | −3.96615e6 | −0.169539 | ||||||||
\(287\) | −1.82972e7 | + | 7.34192e6i | −0.773997 | + | 0.310573i | ||||
\(288\) | −3.66917e6 | + | 6.05204e6i | −0.153600 | + | 0.253352i | ||||
\(289\) | 4.27918e6 | + | 7.41176e6i | 0.177283 | + | 0.307063i | ||||
\(290\) | 2.94151e7 | + | 1.69828e7i | 1.20608 | + | 0.696331i | ||||
\(291\) | 2.84981e7 | − | 2.78942e7i | 1.15648 | − | 1.13197i | ||||
\(292\) | −2.43022e6 | − | 4.20926e6i | −0.0976106 | − | 0.169067i | ||||
\(293\) | 2.73930e7i | 1.08902i | 0.838754 | + | 0.544511i | \(0.183285\pi\) | ||||
−0.838754 | + | 0.544511i | \(0.816715\pi\) | |||||||
\(294\) | −1.28377e7 | − | 2.40293e7i | −0.505180 | − | 0.945581i | ||||
\(295\) | −4.07346e6 | −0.158671 | ||||||||
\(296\) | −3.08402e7 | + | 1.78056e7i | −1.18917 | + | 0.686565i | ||||
\(297\) | 7.42819e6 | + | 3.17720e7i | 0.283540 | + | 1.21276i | ||||
\(298\) | 6.18535e6 | − | 1.07133e7i | 0.233731 | − | 0.404833i | ||||
\(299\) | −3.17209e6 | + | 1.83140e6i | −0.118667 | + | 0.0685126i | ||||
\(300\) | 1.29518e6 | + | 361953.i | 0.0479698 | + | 0.0134057i | ||||
\(301\) | 320671. | + | 799162.i | 0.0117587 | + | 0.0293046i | ||||
\(302\) | − | 2.30815e7i | − | 0.837997i | ||||||
\(303\) | −4.43174e7 | + | 1.13676e7i | −1.59311 | + | 0.408638i | ||||
\(304\) | −1.35410e7 | + | 2.34537e7i | −0.481981 | + | 0.834815i | ||||
\(305\) | 1.29624e7 | + | 7.48387e6i | 0.456864 | + | 0.263771i | ||||
\(306\) | 765678. | − | 3.57427e7i | 0.0267228 | − | 1.24745i | ||||
\(307\) | −552266. | −0.0190868 | −0.00954339 | − | 0.999954i | \(-0.503038\pi\) | ||||
−0.00954339 | + | 0.999954i | \(0.503038\pi\) | |||||||
\(308\) | 4.27418e6 | + | 3.35578e6i | 0.146285 | + | 0.114853i | ||||
\(309\) | −3.13884e7 | − | 8.77184e6i | −1.06388 | − | 0.297314i | ||||
\(310\) | −5.50464e6 | − | 9.53431e6i | −0.184775 | − | 0.320040i | ||||
\(311\) | −1.58376e7 | − | 9.14385e6i | −0.526512 | − | 0.303982i | 0.213083 | − | 0.977034i | \(-0.431650\pi\) |
−0.739595 | + | 0.673052i | \(0.764983\pi\) | |||||||
\(312\) | 2.46007e6 | + | 2.51333e6i | 0.0809997 | + | 0.0827535i | ||||
\(313\) | −5.92720e6 | − | 1.02662e7i | −0.193293 | − | 0.334794i | 0.753046 | − | 0.657967i | \(-0.228584\pi\) |
−0.946340 | + | 0.323174i | \(0.895250\pi\) | |||||||
\(314\) | 4.75032e7i | 1.53438i | ||||||||
\(315\) | 1.61835e7 | − | 1.97276e7i | 0.517774 | − | 0.631164i | ||||
\(316\) | 3.08825e6 | 0.0978703 | ||||||||
\(317\) | 1.38377e7 | − | 7.98923e6i | 0.434398 | − | 0.250800i | −0.266821 | − | 0.963746i | \(-0.585973\pi\) |
0.701218 | + | 0.712947i | \(0.252640\pi\) | |||||||
\(318\) | −4.14854e6 | + | 4.06062e6i | −0.129007 | + | 0.126273i | ||||
\(319\) | 3.21670e7 | − | 5.57149e7i | 0.990920 | − | 1.71632i | ||||
\(320\) | 1.87513e7 | − | 1.08261e7i | 0.572244 | − | 0.330385i | ||||
\(321\) | 8.84615e6 | − | 3.16544e7i | 0.267448 | − | 0.957014i | ||||
\(322\) | 3.82367e7 | + | 5.46671e6i | 1.14528 | + | 0.163741i | ||||
\(323\) | − | 3.35453e7i | − | 0.995460i | ||||||
\(324\) | −2.72556e6 | + | 4.28579e6i | −0.0801346 | + | 0.126007i | ||||
\(325\) | 726920. | − | 1.25906e6i | 0.0211756 | − | 0.0366773i | ||||
\(326\) | −2.35483e7 | − | 1.35956e7i | −0.679685 | − | 0.392416i | ||||
\(327\) | −7.11170e6 | − | 2.77256e7i | −0.203390 | − | 0.792934i | ||||
\(328\) | −2.68387e7 | −0.760573 | ||||||||
\(329\) | −1.29611e7 | − | 1.01761e7i | −0.363960 | − | 0.285755i | ||||
\(330\) | −1.05432e7 | + | 3.77271e7i | −0.293381 | + | 1.04981i | ||||
\(331\) | 3.30853e7 | + | 5.73054e7i | 0.912327 | + | 1.58020i | 0.810768 | + | 0.585368i | \(0.199050\pi\) |
0.101559 | + | 0.994829i | \(0.467617\pi\) | |||||||
\(332\) | 5.80768e6 | + | 3.35307e6i | 0.158704 | + | 0.0916279i | ||||
\(333\) | −4.87338e7 | + | 2.67615e7i | −1.31977 | + | 0.724733i | ||||
\(334\) | 4.64229e6 | + | 8.04069e6i | 0.124593 | + | 0.215801i | ||||
\(335\) | − | 1.46147e7i | − | 0.388737i | ||||||
\(336\) | −4.65421e6 | − | 4.24976e7i | −0.122695 | − | 1.12033i | ||||
\(337\) | 6.95350e6 | 0.181683 | 0.0908414 | − | 0.995865i | \(-0.471044\pi\) | ||||
0.0908414 | + | 0.995865i | \(0.471044\pi\) | |||||||
\(338\) | 3.52731e7 | − | 2.03650e7i | 0.913469 | − | 0.527392i | ||||
\(339\) | 3.65211e7 | + | 3.73118e7i | 0.937442 | + | 0.957739i | ||||
\(340\) | 2.78830e6 | − | 4.82948e6i | 0.0709420 | − | 0.122875i | ||||
\(341\) | −1.80589e7 | + | 1.04263e7i | −0.455436 | + | 0.262946i | ||||
\(342\) | −1.90159e7 | + | 3.13654e7i | −0.475378 | + | 0.784102i | ||||
\(343\) | 3.67467e7 | + | 1.66762e7i | 0.910616 | + | 0.413253i | ||||
\(344\) | 1.17223e6i | 0.0287963i | ||||||||
\(345\) | 8.98845e6 | + | 3.50422e7i | 0.218891 | + | 0.853364i | ||||
\(346\) | −2.03255e7 | + | 3.52048e7i | −0.490696 | + | 0.849911i | ||||
\(347\) | −2.47273e6 | − | 1.42763e6i | −0.0591818 | − | 0.0341686i | 0.470117 | − | 0.882604i | \(-0.344212\pi\) |
−0.529299 | + | 0.848435i | \(0.677545\pi\) | |||||||
\(348\) | 9.70029e6 | − | 2.48816e6i | 0.230169 | − | 0.0590391i | ||||
\(349\) | −2.10065e7 | −0.494171 | −0.247086 | − | 0.968994i | \(-0.579473\pi\) | ||||
−0.247086 | + | 0.968994i | \(0.579473\pi\) | |||||||
\(350\) | −1.42285e7 | + | 5.70930e6i | −0.331860 | + | 0.133162i | ||||
\(351\) | 3.75588e6 | + | 4.00532e6i | 0.0868540 | + | 0.0926223i | ||||
\(352\) | 8.04689e6 | + | 1.39376e7i | 0.184502 | + | 0.319566i | ||||
\(353\) | −2.37372e7 | − | 1.37047e7i | −0.539643 | − | 0.311563i | 0.205291 | − | 0.978701i | \(-0.434186\pi\) |
−0.744934 | + | 0.667138i | \(0.767519\pi\) | |||||||
\(354\) | −6.60586e6 | + | 6.46586e6i | −0.148908 | + | 0.145753i | ||||
\(355\) | 3.16244e7 | + | 5.47750e7i | 0.706866 | + | 1.22433i | ||||
\(356\) | − | 6.95506e6i | − | 0.154153i | ||||||
\(357\) | 3.13126e7 | + | 4.27051e7i | 0.688200 | + | 0.938588i | ||||
\(358\) | −1.43106e7 | −0.311896 | ||||||||
\(359\) | 4.06713e7 | − | 2.34816e7i | 0.879032 | − | 0.507510i | 0.00869313 | − | 0.999962i | \(-0.497233\pi\) |
0.870339 | + | 0.492453i | \(0.163900\pi\) | |||||||
\(360\) | 3.04472e7 | − | 1.67197e7i | 0.652589 | − | 0.358360i | ||||
\(361\) | 6.31458e6 | − | 1.09372e7i | 0.134222 | − | 0.232479i | ||||
\(362\) | −7.30980e7 | + | 4.22032e7i | −1.54092 | + | 0.889650i | ||||
\(363\) | 2.53915e7 | + | 7.09594e6i | 0.530846 | + | 0.148351i | ||||
\(364\) | 905260. | + | 129425.i | 0.0187702 | + | 0.00268358i | ||||
\(365\) | 5.18974e7i | 1.06725i | ||||||||
\(366\) | 3.29002e7 | − | 8.43902e6i | 0.671052 | − | 0.172127i | ||||
\(367\) | 1.64150e7 | − | 2.84317e7i | 0.332081 | − | 0.575181i | −0.650839 | − | 0.759216i | \(-0.725583\pi\) |
0.982920 | + | 0.184035i | \(0.0589160\pi\) | |||||||
\(368\) | 5.24921e7 | + | 3.03063e7i | 1.05330 | + | 0.608121i | ||||
\(369\) | −4.18925e7 | − | 897420.i | −0.833792 | − | 0.0178614i | ||||
\(370\) | −6.67486e7 | −1.31776 | ||||||||
\(371\) | 1.21697e6 | − | 8.51203e6i | 0.0238318 | − | 0.166691i | ||||
\(372\) | −3.12616e6 | − | 873639.i | −0.0607271 | − | 0.0169708i | ||||
\(373\) | −4.34777e6 | − | 7.53055e6i | −0.0837799 | − | 0.145111i | 0.821091 | − | 0.570798i | \(-0.193366\pi\) |
−0.904871 | + | 0.425687i | \(0.860033\pi\) | |||||||
\(374\) | −7.04044e7 | − | 4.06480e7i | −1.34581 | − | 0.777006i | ||||
\(375\) | −4.01579e7 | − | 4.10273e7i | −0.761512 | − | 0.778000i | ||||
\(376\) | −1.12163e7 | − | 1.94272e7i | −0.211001 | − | 0.365465i | ||||
\(377\) | − | 1.08262e7i | − | 0.202047i | ||||||
\(378\) | −5.06945e6 | − | 5.76802e7i | −0.0938610 | − | 1.06795i | ||||
\(379\) | 5.92421e7 | 1.08821 | 0.544106 | − | 0.839017i | \(-0.316869\pi\) | ||||
0.544106 | + | 0.839017i | \(0.316869\pi\) | |||||||
\(380\) | −4.95494e6 | + | 2.86074e6i | −0.0903000 | + | 0.0521347i | ||||
\(381\) | −3.35445e7 | + | 3.28336e7i | −0.606522 | + | 0.593668i | ||||
\(382\) | 1.77545e7 | − | 3.07516e7i | 0.318506 | − | 0.551668i | ||||
\(383\) | 6.91860e7 | − | 3.99446e7i | 1.23146 | − | 0.710987i | 0.264130 | − | 0.964487i | \(-0.414915\pi\) |
0.967335 | + | 0.253501i | \(0.0815820\pi\) | |||||||
\(384\) | 1.77395e7 | − | 6.34777e7i | 0.313292 | − | 1.12106i | ||||
\(385\) | −2.16076e7 | − | 5.38497e7i | −0.378639 | − | 0.943628i | ||||
\(386\) | − | 5.33426e7i | − | 0.927497i | ||||||
\(387\) | −39196.3 | + | 1.82973e6i | −0.000676258 | + | 0.0315685i | ||||
\(388\) | 7.05769e6 | − | 1.22243e7i | 0.120828 | − | 0.209280i | ||||
\(389\) | 5.62167e7 | + | 3.24567e7i | 0.955029 | + | 0.551386i | 0.894639 | − | 0.446789i | \(-0.147432\pi\) |
0.0603893 | + | 0.998175i | \(0.480766\pi\) | |||||||
\(390\) | 1.63785e6 | + | 6.38532e6i | 0.0276110 | + | 0.107644i | ||||
\(391\) | −7.50784e7 | −1.25599 | ||||||||
\(392\) | 3.79718e7 | + | 3.96976e7i | 0.630380 | + | 0.659031i | ||||
\(393\) | −3.20959e6 | + | 1.14849e7i | −0.0528776 | + | 0.189213i | ||||
\(394\) | −2.52034e7 | − | 4.36535e7i | −0.412069 | − | 0.713724i | ||||
\(395\) | −2.85570e7 | − | 1.64874e7i | −0.463363 | − | 0.267523i | ||||
\(396\) | 5.55922e6 | + | 1.01236e7i | 0.0895217 | + | 0.163023i | ||||
\(397\) | −2.19560e7 | − | 3.80290e7i | −0.350899 | − | 0.607776i | 0.635508 | − | 0.772094i | \(-0.280791\pi\) |
−0.986407 | + | 0.164319i | \(0.947457\pi\) | |||||||
\(398\) | 1.99593e7i | 0.316590i | ||||||||
\(399\) | −5.91473e6 | − | 5.40075e7i | −0.0931143 | − | 0.850227i | ||||
\(400\) | −2.40583e7 | −0.375911 | ||||||||
\(401\) | 313037. | − | 180732.i | 0.00485470 | − | 0.00280286i | −0.497571 | − | 0.867423i | \(-0.665774\pi\) |
0.502425 | + | 0.864621i | \(0.332441\pi\) | |||||||
\(402\) | −2.31981e7 | − | 2.37004e7i | −0.357088 | − | 0.364819i | ||||
\(403\) | −1.75455e6 | + | 3.03897e6i | −0.0268072 | + | 0.0464314i | ||||
\(404\) | −1.40250e7 | + | 8.09736e6i | −0.212696 | + | 0.122800i | ||||
\(405\) | 4.80840e7 | − | 2.50796e7i | 0.723828 | − | 0.377533i | ||||
\(406\) | −7.05017e7 | + | 8.97965e7i | −1.05347 | + | 1.34178i | ||||
\(407\) | 1.26428e8i | 1.87525i | ||||||||
\(408\) | 1.79110e7 | + | 6.98277e7i | 0.263718 | + | 1.02813i | ||||
\(409\) | 2.82790e7 | − | 4.89806e7i | 0.413327 | − | 0.715903i | −0.581924 | − | 0.813243i | \(-0.697700\pi\) |
0.995251 | + | 0.0973398i | \(0.0310334\pi\) | |||||||
\(410\) | −4.35661e7 | − | 2.51529e7i | −0.632116 | − | 0.364952i | ||||
\(411\) | −1.19897e7 | + | 3.07540e6i | −0.172697 | + | 0.0442972i | ||||
\(412\) | −1.15362e7 | −0.164957 | ||||||||
\(413\) | 1.93781e6 | − | 1.35540e7i | 0.0275082 | − | 0.192405i | ||||
\(414\) | 7.01995e7 | + | 4.25599e7i | 0.989311 | + | 0.599790i | ||||
\(415\) | −3.58024e7 | − | 6.20115e7i | −0.500919 | − | 0.867617i | ||||
\(416\) | 2.34544e6 | + | 1.35414e6i | 0.0325795 | + | 0.0188098i | ||||
\(417\) | −5.40736e7 | + | 5.29276e7i | −0.745722 | + | 0.729918i | ||||
\(418\) | 4.17039e7 | + | 7.22333e7i | 0.571016 | + | 0.989029i | ||||
\(419\) | 8.40770e7i | 1.14297i | 0.820612 | + | 0.571486i | \(0.193633\pi\) | ||||
−0.820612 | + | 0.571486i | \(0.806367\pi\) | |||||||
\(420\) | 3.63759e6 | − | 8.26704e6i | 0.0490983 | − | 0.111584i | ||||
\(421\) | 2.82795e7 | 0.378988 | 0.189494 | − | 0.981882i | \(-0.439315\pi\) | ||||
0.189494 | + | 0.981882i | \(0.439315\pi\) | |||||||
\(422\) | 4.80839e7 | − | 2.77613e7i | 0.639827 | − | 0.369404i | ||||
\(423\) | −1.68579e7 | − | 3.06988e7i | −0.222731 | − | 0.405603i | ||||
\(424\) | 5.85270e6 | − | 1.01372e7i | 0.0767819 | − | 0.132990i | ||||
\(425\) | 2.58076e7 | − | 1.49000e7i | 0.336187 | − | 0.194098i | ||||
\(426\) | 1.38230e8 | + | 3.86299e7i | 1.78802 | + | 0.499683i | ||||
\(427\) | −3.10682e7 | + | 3.95709e7i | −0.399055 | + | 0.508267i | ||||
\(428\) | − | 1.16339e7i | − | 0.148386i | ||||||
\(429\) | 1.20944e7 | − | 3.10225e6i | 0.153183 | − | 0.0392920i | ||||
\(430\) | −1.09859e6 | + | 1.90282e6i | −0.0138176 | + | 0.0239327i | ||||
\(431\) | −1.11174e8 | − | 6.41866e7i | −1.38859 | − | 0.801701i | −0.395431 | − | 0.918496i | \(-0.629405\pi\) |
−0.993156 | + | 0.116795i | \(0.962738\pi\) | |||||||
\(432\) | 2.63242e7 | − | 8.69662e7i | 0.326516 | − | 1.07870i | ||||
\(433\) | 1.58472e7 | 0.195204 | 0.0976020 | − | 0.995226i | \(-0.468883\pi\) | ||||
0.0976020 | + | 0.995226i | \(0.468883\pi\) | |||||||
\(434\) | 3.43430e7 | − | 1.37804e7i | 0.420116 | − | 0.168575i | ||||
\(435\) | −1.02982e8 | − | 2.87795e7i | −1.25111 | − | 0.349635i | ||||
\(436\) | −5.06582e6 | − | 8.77426e6i | −0.0611210 | − | 0.105865i | ||||
\(437\) | 6.67088e7 | + | 3.85144e7i | 0.799354 | + | 0.461507i | ||||
\(438\) | 8.23775e7 | + | 8.41611e7i | 0.980362 | + | 1.00159i | ||||
\(439\) | 3.23972e7 | + | 5.61137e7i | 0.382926 | + | 0.663247i | 0.991479 | − | 0.130266i | \(-0.0415832\pi\) |
−0.608553 | + | 0.793513i | \(0.708250\pi\) | |||||||
\(440\) | − | 7.89878e7i | − | 0.927261i | ||||||
\(441\) | 5.79427e7 | + | 6.32335e7i | 0.675589 | + | 0.737278i | ||||
\(442\) | −1.36806e7 | −0.158430 | ||||||||
\(443\) | −6.45405e7 | + | 3.72625e7i | −0.742371 | + | 0.428608i | −0.822931 | − | 0.568142i | \(-0.807663\pi\) |
0.0805598 | + | 0.996750i | \(0.474329\pi\) | |||||||
\(444\) | −1.40640e7 | + | 1.37660e7i | −0.160680 | + | 0.157275i | ||||
\(445\) | −3.71313e7 | + | 6.43134e7i | −0.421367 | + | 0.729829i | ||||
\(446\) | −6.12653e7 | + | 3.53715e7i | −0.690573 | + | 0.398703i | ||||
\(447\) | −1.04818e7 | + | 3.75074e7i | −0.117359 | + | 0.419947i | ||||
\(448\) | 2.71022e7 | + | 6.75430e7i | 0.301419 | + | 0.751184i | ||||
\(449\) | − | 1.66886e8i | − | 1.84366i | −0.387600 | − | 0.921828i | \(-0.626696\pi\) | ||
0.387600 | − | 0.921828i | \(-0.373304\pi\) | |||||||
\(450\) | −3.25769e7 | − | 697862.i | −0.357497 | − | 0.00765829i | ||||
\(451\) | −4.76419e7 | + | 8.25181e7i | −0.519349 | + | 0.899538i | ||||
\(452\) | 1.60049e7 | + | 9.24044e6i | 0.173316 | + | 0.100064i | ||||
\(453\) | 1.80539e7 | + | 7.03847e7i | 0.194212 | + | 0.757153i | ||||
\(454\) | 1.37239e8 | 1.46660 | ||||||||
\(455\) | −7.67996e6 | − | 6.02975e6i | −0.0815314 | − | 0.0640126i | ||||
\(456\) | 1.99065e7 | − | 7.12316e7i | 0.209942 | − | 0.751239i | ||||
\(457\) | −9.22998e7 | − | 1.59868e8i | −0.967058 | − | 1.67499i | −0.703982 | − | 0.710217i | \(-0.748597\pi\) |
−0.263075 | − | 0.964775i | \(-0.584737\pi\) | |||||||
\(458\) | 1.30110e8 | + | 7.51192e7i | 1.35430 | + | 0.781906i | ||||
\(459\) | 2.56224e7 | + | 1.09593e8i | 0.264961 | + | 1.13330i | ||||
\(460\) | 6.40267e6 | + | 1.10898e7i | 0.0657791 | + | 0.113933i | ||||
\(461\) | − | 1.22227e8i | − | 1.24756i | −0.781598 | − | 0.623782i | \(-0.785595\pi\) | ||
0.781598 | − | 0.623782i | \(-0.214405\pi\) | |||||||
\(462\) | −1.20517e8 | − | 5.30289e7i | −1.22215 | − | 0.537758i | ||||
\(463\) | −8.10536e6 | −0.0816637 | −0.0408319 | − | 0.999166i | \(-0.513001\pi\) | ||||
−0.0408319 | + | 0.999166i | \(0.513001\pi\) | |||||||
\(464\) | −1.55152e8 | + | 8.95770e7i | −1.55311 | + | 0.896690i | ||||
\(465\) | 2.42434e7 | + | 2.47683e7i | 0.241121 | + | 0.246342i | ||||
\(466\) | 4.35090e7 | − | 7.53599e7i | 0.429954 | − | 0.744702i | ||||
\(467\) | 1.08903e8 | − | 6.28750e7i | 1.06927 | − | 0.617344i | 0.141289 | − | 0.989968i | \(-0.454875\pi\) |
0.927982 | + | 0.372624i | \(0.121542\pi\) | |||||||
\(468\) | 1.66198e6 | + | 1.00761e6i | 0.0162140 | + | 0.00983005i | ||||
\(469\) | 4.86288e7 | + | 6.95247e6i | 0.471384 | + | 0.0673939i | ||||
\(470\) | − | 4.20469e7i | − | 0.404986i | ||||||
\(471\) | −3.71562e7 | − | 1.44856e8i | −0.355605 | − | 1.38636i | ||||
\(472\) | 9.31944e6 | − | 1.61417e7i | 0.0886266 | − | 0.153506i | ||||
\(473\) | 3.60412e6 | + | 2.08084e6i | 0.0340577 | + | 0.0196632i | ||||
\(474\) | −7.24811e7 | + | 1.85917e7i | −0.680597 | + | 0.174575i | ||||
\(475\) | −3.05742e7 | −0.285282 | ||||||||
\(476\) | 1.47431e7 | + | 1.15752e7i | 0.136700 | + | 0.107327i | ||||
\(477\) | 9.47443e6 | − | 1.56274e7i | 0.0872967 | − | 0.143990i | ||||
\(478\) | −1.54434e7 | − | 2.67488e7i | −0.141403 | − | 0.244918i | ||||
\(479\) | 1.93355e7 | + | 1.11634e7i | 0.175934 | + | 0.101575i | 0.585381 | − | 0.810758i | \(-0.300945\pi\) |
−0.409447 | + | 0.912334i | \(0.634278\pi\) | |||||||
\(480\) | 1.91159e7 | − | 1.87108e7i | 0.172851 | − | 0.169188i | ||||
\(481\) | 1.06377e7 | + | 1.84251e7i | 0.0955904 | + | 0.165568i | ||||
\(482\) | − | 7.18569e6i | − | 0.0641693i | ||||||
\(483\) | −1.20875e8 | + | 1.32379e7i | −1.07274 | + | 0.117484i | ||||
\(484\) | 9.33213e6 | 0.0823085 | ||||||||
\(485\) | −1.30525e8 | + | 7.53586e7i | −1.14411 | + | 0.660553i | ||||
\(486\) | 3.81678e7 | − | 1.16996e8i | 0.332497 | − | 1.01920i | ||||
\(487\) | 227444. | − | 393944.i | 0.00196919 | − | 0.00341074i | −0.865039 | − | 0.501704i | \(-0.832707\pi\) |
0.867008 | + | 0.498294i | \(0.166040\pi\) | |||||||
\(488\) | −5.93122e7 | + | 3.42439e7i | −0.510369 | + | 0.294662i | ||||
\(489\) | 8.24426e7 | + | 2.30395e7i | 0.705059 | + | 0.197036i | ||||
\(490\) | 2.44338e7 | + | 1.00026e8i | 0.207684 | + | 0.850205i | ||||
\(491\) | 1.40943e8i | 1.19069i | 0.803469 | + | 0.595347i | \(0.202985\pi\) | ||||
−0.803469 | + | 0.595347i | \(0.797015\pi\) | |||||||
\(492\) | −1.43669e7 | + | 3.68515e6i | −0.120633 | + | 0.0309429i | ||||
\(493\) | 1.10955e8 | − | 1.92180e8i | 0.925991 | − | 1.60386i | ||||
\(494\) | 1.21555e7 | + | 7.01800e6i | 0.100831 | + | 0.0582147i | ||||
\(495\) | 2.64115e6 | − | 1.23292e8i | 0.0217760 | − | 1.01653i | ||||
\(496\) | 5.80691e7 | 0.475883 | ||||||||
\(497\) | −1.97302e8 | + | 7.91692e7i | −1.60717 | + | 0.644892i | ||||
\(498\) | −1.56492e8 | − | 4.37334e7i | −1.26708 | − | 0.354099i | ||||
\(499\) | 6.54628e7 | + | 1.13385e8i | 0.526857 | + | 0.912543i | 0.999510 | + | 0.0312944i | \(0.00996293\pi\) |
−0.472653 | + | 0.881248i | \(0.656704\pi\) | |||||||
\(500\) | −1.75987e7 | − | 1.01606e7i | −0.140790 | − | 0.0812849i | ||||
\(501\) | −2.04455e7 | − | 2.08882e7i | −0.162587 | − | 0.166107i | ||||
\(502\) | −7.03029e7 | − | 1.21768e8i | −0.555728 | − | 0.962549i | ||||
\(503\) | − | 5.96687e7i | − | 0.468859i | −0.972133 | − | 0.234430i | \(-0.924678\pi\) | ||
0.972133 | − | 0.234430i | \(-0.0753223\pi\) | |||||||
\(504\) | 4.11486e7 | + | 1.09263e8i | 0.321413 | + | 0.853460i | ||||
\(505\) | 1.72919e8 | 1.34267 | ||||||||
\(506\) | 1.61667e8 | − | 9.33384e7i | 1.24787 | − | 0.720458i | ||||
\(507\) | −9.16329e7 | + | 8.96910e7i | −0.703117 | + | 0.688216i | ||||
\(508\) | −8.30745e6 | + | 1.43889e7i | −0.0633689 | + | 0.109758i | ||||
\(509\) | 9.49105e7 | − | 5.47966e7i | 0.719715 | − | 0.415528i | −0.0949326 | − | 0.995484i | \(-0.530264\pi\) |
0.814648 | + | 0.579956i | \(0.196930\pi\) | |||||||
\(510\) | −3.63673e7 | + | 1.30134e8i | −0.274158 | + | 0.981024i | ||||
\(511\) | −1.72683e8 | − | 2.46885e7i | −1.29416 | − | 0.185026i | ||||
\(512\) | 9.31352e7i | 0.693912i | ||||||||
\(513\) | 3.34537e7 | − | 1.10520e8i | 0.247795 | − | 0.818629i | ||||
\(514\) | 1.60891e7 | − | 2.78671e7i | 0.118479 | − | 0.205212i | ||||
\(515\) | 1.06675e8 | + | 6.15888e7i | 0.780981 | + | 0.450900i | ||||
\(516\) | 160955. | + | 627498.i | 0.00117154 | + | 0.00456734i | ||||
\(517\) | −7.96407e7 | −0.576319 | ||||||||
\(518\) | 3.17535e7 | − | 2.22099e8i | 0.228456 | − | 1.59793i | ||||
\(519\) | 3.44441e7 | − | 1.23252e8i | 0.246384 | − | 0.881640i | ||||
\(520\) | −6.64609e6 | − | 1.15114e7i | −0.0472668 | − | 0.0818685i | ||||
\(521\) | 4.66166e7 | + | 2.69141e7i | 0.329631 | + | 0.190312i | 0.655677 | − | 0.755041i | \(-0.272383\pi\) |
−0.326046 | + | 0.945354i | \(0.605717\pi\) | |||||||
\(522\) | −2.12687e8 | + | 1.16794e8i | −1.49530 | + | 0.821125i | ||||
\(523\) | 1.36233e8 | + | 2.35962e8i | 0.952306 | + | 1.64944i | 0.740415 | + | 0.672149i | \(0.234629\pi\) |
0.211891 | + | 0.977293i | \(0.432038\pi\) | |||||||
\(524\) | 4.22105e6i | 0.0293377i | ||||||||
\(525\) | 3.89227e7 | − | 2.85392e7i | 0.268983 | − | 0.197226i | ||||
\(526\) | −3.63894e7 | −0.250045 | ||||||||
\(527\) | −6.22913e7 | + | 3.59639e7i | −0.425594 | + | 0.245717i | ||||
\(528\) | −1.44528e8 | − | 1.47658e8i | −0.981864 | − | 1.00312i | ||||
\(529\) | 1.21818e7 | − | 2.10995e7i | 0.0822894 | − | 0.142529i | ||||
\(530\) | 1.90008e7 | − | 1.09701e7i | 0.127628 | − | 0.0736858i | ||||
\(531\) | 1.50864e7 | − | 2.48840e7i | 0.100763 | − | 0.166202i | ||||
\(532\) | −7.16164e6 | − | 1.78479e7i | −0.0475639 | − | 0.118537i | ||||
\(533\) | 1.60345e7i | 0.105895i | ||||||||
\(534\) | 4.18704e7 | + | 1.63235e8i | 0.274968 | + | 1.07199i | ||||
\(535\) | −6.21106e7 | + | 1.07579e8i | −0.405606 | + | 0.702530i | ||||
\(536\) | 5.79132e7 | + | 3.34362e7i | 0.376082 | + | 0.217131i | ||||
\(537\) | 4.36389e7 | − | 1.11935e7i | 0.281807 | − | 0.0722843i | ||||
\(538\) | 2.06764e7 | 0.132779 | ||||||||
\(539\) | 1.89458e8 | − | 4.62798e7i | 1.20989 | − | 0.295546i | ||||
\(540\) | 1.40028e7 | − | 1.31307e7i | 0.0889267 | − | 0.0833887i | ||||
\(541\) | 6.80986e7 | + | 1.17950e8i | 0.430077 | + | 0.744916i | 0.996880 | − | 0.0789380i | \(-0.0251529\pi\) |
−0.566802 | + | 0.823854i | \(0.691820\pi\) | |||||||
\(542\) | 6.49821e7 | + | 3.75174e7i | 0.408127 | + | 0.235632i | ||||
\(543\) | 1.89895e8 | − | 1.85870e8i | 1.18608 | − | 1.16094i | ||||
\(544\) | 2.77565e7 | + | 4.80757e7i | 0.172412 | + | 0.298627i | ||||
\(545\) | 1.08181e8i | 0.668283i | ||||||||
\(546\) | −2.20256e7 | + | 2.41218e6i | −0.135316 | + | 0.0148194i | ||||
\(547\) | 4.57100e7 | 0.279286 | 0.139643 | − | 0.990202i | \(-0.455404\pi\) | ||||
0.139643 | + | 0.990202i | \(0.455404\pi\) | |||||||
\(548\) | −3.79437e6 | + | 2.19068e6i | −0.0230567 | + | 0.0133118i | ||||
\(549\) | −9.37253e7 | + | 5.14680e7i | −0.566421 | + | 0.311043i | ||||
\(550\) | −3.70478e7 | + | 6.41686e7i | −0.222676 | + | 0.385687i | ||||
\(551\) | −1.97172e8 | + | 1.13838e8i | −1.17867 | + | 0.680504i | ||||
\(552\) | −1.59425e8 | − | 4.45530e7i | −0.947848 | − | 0.264886i | ||||
\(553\) | 6.84450e7 | − | 8.71769e7i | 0.404731 | − | 0.515497i | ||||
\(554\) | − | 8.69664e7i | − | 0.511472i | ||||||
\(555\) | 2.03543e8 | − | 5.22096e7i | 1.19063 | − | 0.305401i | ||||
\(556\) | −1.33916e7 | + | 2.31949e7i | −0.0779125 | + | 0.134948i | ||||
\(557\) | −2.01129e8 | − | 1.16122e8i | −1.16388 | − | 0.671968i | −0.211651 | − | 0.977345i | \(-0.567884\pi\) |
−0.952232 | + | 0.305377i | \(0.901217\pi\) | |||||||
\(558\) | 7.86303e7 | + | 1.68442e6i | 0.452572 | + | 0.00969497i | ||||
\(559\) | 700333. | 0.00400931 | ||||||||
\(560\) | −2.28685e7 | + | 1.59953e8i | −0.130219 | + | 0.910811i | ||||
\(561\) | 2.46485e8 | + | 6.88831e7i | 1.39606 | + | 0.390143i | ||||
\(562\) | −5.72120e6 | − | 9.90942e6i | −0.0322314 | − | 0.0558263i | ||||
\(563\) | −4.40626e7 | − | 2.54395e7i | −0.246913 | − | 0.142555i | 0.371437 | − | 0.928458i | \(-0.378865\pi\) |
−0.618350 | + | 0.785903i | \(0.712199\pi\) | |||||||
\(564\) | −8.67160e6 | − | 8.85935e6i | −0.0483350 | − | 0.0493815i | ||||
\(565\) | −9.86649e7 | − | 1.70893e8i | −0.547038 | − | 0.947497i | ||||
\(566\) | 1.28952e8i | 0.711177i | ||||||||
\(567\) | 6.05752e7 | + | 1.71925e8i | 0.332312 | + | 0.943170i | ||||
\(568\) | −2.89407e8 | −1.57930 | ||||||||
\(569\) | 1.20964e8 | − | 6.98384e7i | 0.656626 | − | 0.379103i | −0.134364 | − | 0.990932i | \(-0.542899\pi\) |
0.790990 | + | 0.611829i | \(0.209566\pi\) | |||||||
\(570\) | 9.90704e7 | − | 9.69709e7i | 0.534958 | − | 0.523621i | ||||
\(571\) | −1.08542e8 | + | 1.88000e8i | −0.583027 | + | 1.00983i | 0.412092 | + | 0.911142i | \(0.364798\pi\) |
−0.995118 | + | 0.0986895i | \(0.968535\pi\) | |||||||
\(572\) | 3.82749e6 | − | 2.20980e6i | 0.0204515 | − | 0.0118077i | ||||
\(573\) | −3.00871e7 | + | 1.07661e8i | −0.159925 | + | 0.572263i | ||||
\(574\) | 1.04419e8 | − | 1.32996e8i | 0.552131 | − | 0.703237i | ||||
\(575\) | 6.84286e7i | 0.359944i | ||||||||
\(576\) | −3.31277e6 | + | 1.54644e8i | −0.0173350 | + | 0.809216i | ||||
\(577\) | −3.81534e7 | + | 6.60837e7i | −0.198612 | + | 0.344007i | −0.948079 | − | 0.318036i | \(-0.896977\pi\) |
0.749466 | + | 0.662042i | \(0.230310\pi\) | |||||||
\(578\) | −6.35672e7 | − | 3.67006e7i | −0.329192 | − | 0.190059i | ||||
\(579\) | 4.17237e7 | + | 1.62663e8i | 0.214955 | + | 0.838018i | ||||
\(580\) | −3.78490e7 | −0.193986 | ||||||||
\(581\) | 2.23368e8 | − | 8.96285e7i | 1.13892 | − | 0.457002i | ||||
\(582\) | −9.20522e7 | + | 3.29392e8i | −0.466944 | + | 1.67088i | ||||
\(583\) | −2.07784e7 | − | 3.59893e7i | −0.104859 | − | 0.181622i | ||||
\(584\) | −2.05652e8 | − | 1.18733e8i | −1.03251 | − | 0.596120i | ||||
\(585\) | −9.98896e6 | − | 1.81903e7i | −0.0498945 | − | 0.0908599i | ||||
\(586\) | −1.17469e8 | − | 2.03462e8i | −0.583753 | − | 1.01109i | ||||
\(587\) | − | 3.46645e8i | − | 1.71384i | −0.515447 | − | 0.856921i | \(-0.672374\pi\) | ||
0.515447 | − | 0.856921i | \(-0.327626\pi\) | |||||||
\(588\) | 2.57772e7 | + | 1.60365e7i | 0.126795 | + | 0.0788817i | ||||
\(589\) | 7.37963e7 | 0.361151 | ||||||||
\(590\) | 3.02556e7 | − | 1.74681e7i | 0.147316 | − | 0.0850529i | ||||
\(591\) | 1.11000e8 | + | 1.13404e8i | 0.537726 | + | 0.549369i | ||||
\(592\) | 1.76035e8 | − | 3.04902e8i | 0.848465 | − | 1.46958i | ||||
\(593\) | −2.16280e8 | + | 1.24869e8i | −1.03718 | + | 0.598813i | −0.919032 | − | 0.394183i | \(-0.871028\pi\) |
−0.118143 | + | 0.992997i | \(0.537694\pi\) | |||||||
\(594\) | −1.91420e8 | − | 2.04133e8i | −0.913331 | − | 0.973987i | ||||
\(595\) | −7.45323e7 | − | 1.85746e8i | −0.353829 | − | 0.881798i | ||||
\(596\) | 1.37851e7i | 0.0651134i | ||||||||
\(597\) | −1.56118e7 | − | 6.08641e7i | −0.0733721 | − | 0.286047i | ||||
\(598\) | 1.57071e7 | − | 2.72055e7i | 0.0734502 | − | 0.127220i | ||||
\(599\) | −1.62210e7 | − | 9.36522e6i | −0.0754741 | − | 0.0435750i | 0.461788 | − | 0.886990i | \(-0.347208\pi\) |
−0.537262 | + | 0.843415i | \(0.680541\pi\) | |||||||
\(600\) | 6.36430e7 | − | 1.63246e7i | 0.294643 | − | 0.0755770i | ||||
\(601\) | −3.43299e8 | −1.58143 | −0.790714 | − | 0.612185i | \(-0.790291\pi\) | ||||
−0.790714 | + | 0.612185i | \(0.790291\pi\) | |||||||
\(602\) | −5.80881e6 | − | 4.56066e6i | −0.0266255 | − | 0.0209044i | ||||
\(603\) | 8.92785e7 | + | 5.41269e7i | 0.407188 | + | 0.246866i | ||||
\(604\) | 1.28602e7 | + | 2.22745e7i | 0.0583629 | + | 0.101088i | ||||
\(605\) | −8.62941e7 | − | 4.98219e7i | −0.389686 | − | 0.224985i | ||||
\(606\) | 2.80420e8 | − | 2.74478e8i | 1.26006 | − | 1.23336i | ||||
\(607\) | −7.52753e7 | − | 1.30381e8i | −0.336579 | − | 0.582971i | 0.647208 | − | 0.762313i | \(-0.275936\pi\) |
−0.983787 | + | 0.179342i | \(0.942603\pi\) | |||||||
\(608\) | − | 5.69551e7i | − | 0.253409i | ||||||
\(609\) | 1.44751e8 | − | 3.28971e8i | 0.640870 | − | 1.45648i | ||||
\(610\) | −1.28371e8 | −0.565561 | ||||||||
\(611\) | −1.16065e7 | + | 6.70103e6i | −0.0508837 | + | 0.0293777i | ||||
\(612\) | 1.91757e7 | + | 3.49197e7i | 0.0836559 | + | 0.152341i | ||||
\(613\) | 1.53242e7 | − | 2.65423e7i | 0.0665267 | − | 0.115228i | −0.830843 | − | 0.556506i | \(-0.812142\pi\) |
0.897370 | + | 0.441279i | \(0.145475\pi\) | |||||||
\(614\) | 4.10196e6 | − | 2.36826e6i | 0.0177209 | − | 0.0102312i | ||||
\(615\) | 1.52525e8 | + | 4.26247e7i | 0.655714 | + | 0.183246i | ||||
\(616\) | 2.62823e8 | + | 3.75759e7i | 1.12440 | + | 0.160756i | ||||
\(617\) | − | 1.82214e8i | − | 0.775758i | −0.921710 | − | 0.387879i | \(-0.873208\pi\) | ||
0.921710 | − | 0.387879i | \(-0.126792\pi\) | |||||||
\(618\) | 2.70754e8 | − | 6.94493e7i | 1.14712 | − | 0.294240i | ||||
\(619\) | −1.32745e8 | + | 2.29921e8i | −0.559688 | + | 0.969409i | 0.437834 | + | 0.899056i | \(0.355746\pi\) |
−0.997522 | + | 0.0703528i | \(0.977588\pi\) | |||||||
\(620\) | 1.06244e7 | + | 6.13399e6i | 0.0445788 | + | 0.0257376i | ||||
\(621\) | −2.47356e8 | − | 7.48735e7i | −1.03288 | − | 0.312646i | ||||
\(622\) | 1.56845e8 | 0.651779 | ||||||||
\(623\) | −1.96332e8 | − | 1.54145e8i | −0.811944 | − | 0.637480i | ||||
\(624\) | −3.34870e7 | − | 9.35831e6i | −0.137823 | − | 0.0385162i | ||||
\(625\) | 6.77745e7 | + | 1.17389e8i | 0.277604 | + | 0.480825i | ||||
\(626\) | 8.80486e7 | + | 5.08349e7i | 0.358922 | + | 0.207223i | ||||
\(627\) | −1.83672e8 | − | 1.87648e8i | −0.745143 | − | 0.761276i | ||||
\(628\) | −2.64672e7 | − | 4.58425e7i | −0.106863 | − | 0.185093i | ||||
\(629\) | 4.36094e8i | 1.75238i | ||||||||
\(630\) | −3.56056e7 | + | 2.15926e8i | −0.142396 | + | 0.863542i | ||||
\(631\) | −1.33736e8 | −0.532304 | −0.266152 | − | 0.963931i | \(-0.585752\pi\) | ||||
−0.266152 | + | 0.963931i | \(0.585752\pi\) | |||||||
\(632\) | 1.30668e8 | − | 7.54413e7i | 0.517629 | − | 0.298853i | ||||
\(633\) | −1.24913e8 | + | 1.22266e8i | −0.492488 | + | 0.482051i | ||||
\(634\) | −6.85199e7 | + | 1.18680e8i | −0.268874 | + | 0.465704i | ||||
\(635\) | 1.53638e8 | − | 8.87028e7i | 0.600035 | − | 0.346431i | ||||
\(636\) | 1.74107e6 | − | 6.23009e6i | 0.00676774 | − | 0.0242171i | ||||
\(637\) | 2.37168e7 | − | 2.26858e7i | 0.0917568 | − | 0.0877678i | ||||
\(638\) | 5.51764e8i | 2.12467i | ||||||||
\(639\) | −4.51735e8 | − | 9.67704e6i | −1.73133 | − | 0.0370886i | ||||
\(640\) | −1.24553e8 | + | 2.15732e8i | −0.475131 | + | 0.822951i | ||||
\(641\) | 4.04341e8 | + | 2.33447e8i | 1.53523 | + | 0.886366i | 0.999108 | + | 0.0422269i | \(0.0134452\pi\) |
0.536124 | + | 0.844140i | \(0.319888\pi\) | |||||||
\(642\) | 7.00376e7 | + | 2.73048e8i | 0.264683 | + | 1.03189i | ||||
\(643\) | 1.02012e8 | 0.383723 | 0.191862 | − | 0.981422i | \(-0.438548\pi\) | ||||
0.191862 | + | 0.981422i | \(0.438548\pi\) | |||||||
\(644\) | −3.99458e7 | + | 1.60286e7i | −0.149559 | + | 0.0600120i | ||||
\(645\) | 1.86170e6 | − | 6.66177e6i | 0.00693795 | − | 0.0248262i | ||||
\(646\) | 1.43851e8 | + | 2.49158e8i | 0.533601 | + | 0.924223i | ||||
\(647\) | 2.00170e8 | + | 1.15568e8i | 0.739070 | + | 0.426702i | 0.821731 | − | 0.569876i | \(-0.193009\pi\) |
−0.0826612 | + | 0.996578i | \(0.526342\pi\) | |||||||
\(648\) | −1.06267e7 | + | 2.47919e8i | −0.0390547 | + | 0.911140i | ||||
\(649\) | −3.30862e7 | − | 5.73069e7i | −0.121035 | − | 0.209639i | ||||
\(650\) | 1.24689e7i | 0.0454034i | ||||||||
\(651\) | −9.39469e7 | + | 6.88846e7i | −0.340518 | + | 0.249677i | ||||
\(652\) | 3.03001e7 | 0.109320 | ||||||||
\(653\) | −8.60382e7 | + | 4.96742e7i | −0.308995 | + | 0.178398i | −0.646477 | − | 0.762934i | \(-0.723758\pi\) |
0.337482 | + | 0.941332i | \(0.390425\pi\) | |||||||
\(654\) | 1.71717e8 | + | 1.75435e8i | 0.613875 | + | 0.627166i | ||||
\(655\) | 2.25351e7 | − | 3.90320e7i | 0.0801930 | − | 0.138898i | ||||
\(656\) | 2.29792e8 | − | 1.32670e8i | 0.813998 | − | 0.469962i | ||||
\(657\) | −3.17032e8 | − | 1.92207e8i | −1.11791 | − | 0.677755i | ||||
\(658\) | 1.39906e8 | + | 2.00024e7i | 0.491089 | + | 0.0702110i | ||||
\(659\) | − | 3.56396e8i | − | 1.24531i | −0.782498 | − | 0.622653i | \(-0.786055\pi\) | ||
0.782498 | − | 0.622653i | \(-0.213945\pi\) | |||||||
\(660\) | −1.08456e7 | − | 4.22825e7i | −0.0377243 | − | 0.147072i | ||||
\(661\) | −2.85691e6 | + | 4.94832e6i | −0.00989219 | + | 0.0171338i | −0.870929 | − | 0.491409i | \(-0.836482\pi\) |
0.861037 | + | 0.508542i | \(0.169815\pi\) | |||||||
\(662\) | −4.91482e8 | − | 2.83757e8i | −1.69408 | − | 0.978077i | ||||
\(663\) | 4.17177e7 | − | 1.07007e7i | 0.143146 | − | 0.0367175i | ||||
\(664\) | 3.27641e8 | 1.11917 | ||||||||
\(665\) | −2.90621e7 | + | 2.03274e8i | −0.0988239 | + | 0.691221i | ||||
\(666\) | 2.47210e8 | − | 4.07755e8i | 0.836841 | − | 1.38031i | ||||
\(667\) | 2.54782e8 | + | 4.41295e8i | 0.858601 | + | 1.48714i | ||||
\(668\) | −8.95999e6 | − | 5.17305e6i | −0.0300592 | − | 0.0173547i | ||||
\(669\) | 1.59156e8 | − | 1.55783e8i | 0.531549 | − | 0.520284i | ||||
\(670\) | 6.26718e7 | + | 1.08551e8i | 0.208376 | + | 0.360918i | ||||
\(671\) | 2.43147e8i | 0.804826i | ||||||||
\(672\) | 5.31643e7 | + | 7.25071e7i | 0.175191 | + | 0.238931i | ||||
\(673\) | 3.58623e7 | 0.117650 | 0.0588251 | − | 0.998268i | \(-0.481265\pi\) | ||||
0.0588251 | + | 0.998268i | \(0.481265\pi\) | |||||||
\(674\) | −5.16472e7 | + | 2.98185e7i | −0.168681 | + | 0.0973881i | ||||
\(675\) | 9.98860e7 | − | 2.33530e7i | 0.324783 | − | 0.0759332i | ||||
\(676\) | −2.26933e7 | + | 3.93060e7i | −0.0734612 | + | 0.127238i | ||||
\(677\) | 1.91967e8 | − | 1.10832e8i | 0.618671 | − | 0.357190i | −0.157680 | − | 0.987490i | \(-0.550401\pi\) |
0.776352 | + | 0.630300i | \(0.217068\pi\) | |||||||
\(678\) | −4.31264e8 | − | 1.20521e8i | −1.38374 | − | 0.386701i | ||||
\(679\) | −1.88654e8 | − | 4.70157e8i | −0.602640 | − | 1.50187i | ||||
\(680\) | − | 2.72456e8i | − | 0.866503i | ||||||
\(681\) | −4.18498e8 | + | 1.07346e8i | −1.32511 | + | 0.339895i | ||||
\(682\) | 8.94215e7 | − | 1.54883e8i | 0.281896 | − | 0.488258i | ||||
\(683\) | 1.47158e8 | + | 8.49617e7i | 0.461872 | + | 0.266662i | 0.712831 | − | 0.701336i | \(-0.247413\pi\) |
−0.250959 | + | 0.967998i | \(0.580746\pi\) | |||||||
\(684\) | 875384. | − | 4.08639e7i | 0.00273546 | − | 0.127694i | ||||
\(685\) | 4.67820e7 | 0.145548 | ||||||||
\(686\) | −3.44448e8 | + | 3.37168e7i | −1.06697 | + | 0.104442i | ||||
\(687\) | −4.55515e8 | − | 1.27299e8i | −1.40486 | − | 0.392603i | ||||
\(688\) | −5.79461e6 | − | 1.00366e7i | −0.0177934 | − | 0.0308191i | ||||
\(689\) | −6.05633e6 | − | 3.49663e6i | −0.0185162 | − | 0.0106903i | ||||
\(690\) | −2.17032e8 | − | 2.21731e8i | −0.660659 | − | 0.674963i | ||||
\(691\) | −2.24103e6 | − | 3.88158e6i | −0.00679226 | − | 0.0117645i | 0.862609 | − | 0.505871i | \(-0.168829\pi\) |
−0.869402 | + | 0.494106i | \(0.835495\pi\) | |||||||
\(692\) | − | 4.52987e7i | − | 0.136700i | ||||||
\(693\) | 4.08984e8 | + | 6.74402e7i | 1.22887 | + | 0.202637i | ||||
\(694\) | 2.44883e7 | 0.0732622 | ||||||||
\(695\) | 2.47663e8 | − | 1.42989e8i | 0.737747 | − | 0.425938i | ||||
\(696\) | 3.49651e8 | − | 3.42241e8i | 1.03707 | − | 1.01509i | ||||
\(697\) | −1.64333e8 | + | 2.84634e8i | −0.485319 | + | 0.840597i | ||||
\(698\) | 1.56026e8 | − | 9.00816e7i | 0.458808 | − | 0.264893i | ||||
\(699\) | −7.37314e7 | + | 2.63835e8i | −0.215884 | + | 0.772503i | ||||
\(700\) | 1.05500e7 | − | 1.34373e7i | 0.0307581 | − | 0.0391759i | ||||
\(701\) | − | 3.03741e8i | − | 0.881758i | −0.897567 | − | 0.440879i | \(-0.854667\pi\) | ||
0.897567 | − | 0.440879i | \(-0.145333\pi\) | |||||||
\(702\) | −4.50727e7 | − | 1.36433e7i | −0.130287 | − | 0.0394373i | ||||
\(703\) | 2.23711e8 | − | 3.87479e8i | 0.643905 | − | 1.11528i | ||||
\(704\) | 3.04610e8 | + | 1.75867e8i | 0.873024 | + | 0.504041i | ||||
\(705\) | 3.28883e7 | + | 1.28218e8i | 0.0938587 | + | 0.365916i | ||||
\(706\) | 2.35078e8 | 0.668033 | ||||||||
\(707\) | −8.22607e7 | + | 5.75370e8i | −0.232774 | + | 1.62813i | ||||
\(708\) | 2.77235e6 | − | 9.92037e6i | 0.00781176 | − | 0.0279530i | ||||
\(709\) | −8.39000e7 | − | 1.45319e8i | −0.235409 | − | 0.407741i | 0.723982 | − | 0.689819i | \(-0.242310\pi\) |
−0.959392 | + | 0.282078i | \(0.908976\pi\) | |||||||
\(710\) | −4.69781e8 | − | 2.71228e8i | −1.31256 | − | 0.757808i | ||||
\(711\) | 2.06482e8 | − | 1.13387e8i | 0.574478 | − | 0.315467i | ||||
\(712\) | −1.69902e8 | − | 2.94278e8i | −0.470715 | − | 0.815301i | ||||
\(713\) | − | 1.65165e8i | − | 0.455669i | ||||||
\(714\) | −4.15706e8 | − | 1.82915e8i | −1.14207 | − | 0.502522i | ||||
\(715\) | −4.71903e7 | −0.129103 | ||||||||
\(716\) | 1.38103e7 | − | 7.97340e6i | 0.0376240 | − | 0.0217222i | ||||
\(717\) | 6.80156e7 | + | 6.94882e7i | 0.184523 | + | 0.188518i | ||||
\(718\) | −2.01391e8 | + | 3.48819e8i | −0.544085 | + | 0.942383i | ||||
\(719\) | −5.06681e8 | + | 2.92532e8i | −1.36316 | + | 0.787022i | −0.990044 | − | 0.140762i | \(-0.955045\pi\) |
−0.373119 | + | 0.927784i | \(0.621712\pi\) | |||||||
\(720\) | −1.78038e8 | + | 2.93661e8i | −0.476996 | + | 0.786771i | ||||
\(721\) | −2.55677e8 | + | 3.25650e8i | −0.682159 | + | 0.868851i | ||||
\(722\) | 1.08315e8i | 0.287790i | ||||||||
\(723\) | 5.62052e6 | + | 2.19121e7i | 0.0148717 | + | 0.0579787i | ||||
\(724\) | 4.70283e7 | − | 8.14554e7i | 0.123921 | − | 0.214637i | ||||
\(725\) | −1.75159e8 | − | 1.01128e8i | −0.459640 | − | 0.265373i | ||||
\(726\) | −2.19025e8 | + | 5.61806e7i | −0.572379 | + | 0.146817i | ||||
\(727\) | 6.59467e8 | 1.71629 | 0.858144 | − | 0.513409i | \(-0.171618\pi\) | ||||
0.858144 | + | 0.513409i | \(0.171618\pi\) | |||||||
\(728\) | 4.14645e7 | − | 1.66380e7i | 0.107469 | − | 0.0431228i | ||||
\(729\) | −2.48770e7 | + | 3.86621e8i | −0.0642118 | + | 0.997936i | ||||
\(730\) | −2.22550e8 | − | 3.85468e8i | −0.572083 | − | 0.990877i | ||||
\(731\) | 1.24319e7 | + | 7.17753e6i | 0.0318261 | + | 0.0183748i | ||||
\(732\) | −2.70481e7 | + | 2.64749e7i | −0.0689610 | + | 0.0674995i | ||||
\(733\) | 7.82392e7 | + | 1.35514e8i | 0.198661 | + | 0.344091i | 0.948094 | − | 0.317989i | \(-0.103007\pi\) |
−0.749434 | + | 0.662079i | \(0.769674\pi\) | |||||||
\(734\) | 2.81569e8i | 0.712026i | ||||||||
\(735\) | −1.52747e8 | − | 2.85907e8i | −0.384689 | − | 0.720050i | ||||
\(736\) | −1.27472e8 | −0.319729 | ||||||||
\(737\) | 2.05605e8 | − | 1.18706e8i | 0.513608 | − | 0.296531i | ||||
\(738\) | 3.15005e8 | − | 1.72981e8i | 0.783698 | − | 0.430357i | ||||
\(739\) | 1.52213e8 | − | 2.63641e8i | 0.377155 | − | 0.653251i | −0.613492 | − | 0.789701i | \(-0.710236\pi\) |
0.990647 | + | 0.136450i | \(0.0435692\pi\) | |||||||
\(740\) | 6.44150e7 | − | 3.71900e7i | 0.158962 | − | 0.0917765i | ||||
\(741\) | −4.25565e7 | − | 1.18929e7i | −0.104595 | − | 0.0292302i | ||||
\(742\) | 2.74629e7 | + | 6.84418e7i | 0.0672255 | + | 0.167537i | ||||
\(743\) | − | 2.42933e8i | − | 0.592272i | −0.955146 | − | 0.296136i | \(-0.904302\pi\) | ||
0.955146 | − | 0.296136i | \(-0.0956981\pi\) | |||||||
\(744\) | −1.53614e8 | + | 3.94025e7i | −0.373002 | + | 0.0956764i | ||||
\(745\) | 7.35951e7 | − | 1.27470e8i | 0.177984 | − | 0.308277i | ||||
\(746\) | 6.45861e7 | + | 3.72888e7i | 0.155569 | + | 0.0898177i | ||||
\(747\) | 5.11415e8 | + | 1.09555e7i | 1.22691 | + | 0.0262827i | ||||
\(748\) | 9.05907e7 | 0.216461 | ||||||||
\(749\) | −3.28409e8 | − | 2.57843e8i | −0.781573 | − | 0.613635i | ||||
\(750\) | 4.74209e8 | + | 1.32523e8i | 1.12405 | + | 0.314128i | ||||
\(751\) | −1.14814e8 | − | 1.98864e8i | −0.271066 | − | 0.469501i | 0.698069 | − | 0.716031i | \(-0.254043\pi\) |
−0.969135 | + | 0.246530i | \(0.920710\pi\) | |||||||
\(752\) | 1.92066e8 | + | 1.10890e8i | 0.451646 | + | 0.260758i | ||||
\(753\) | 3.09627e8 | + | 3.16331e8i | 0.725193 | + | 0.740894i | ||||
\(754\) | 4.64258e7 | + | 8.04119e7i | 0.108304 | + | 0.187588i | ||||
\(755\) | − | 2.74630e8i | − | 0.638126i | ||||||
\(756\) | 3.70297e7 | + | 5.28392e7i | 0.0857007 | + | 0.122290i | ||||
\(757\) | 8.30994e8 | 1.91562 | 0.957812 | − | 0.287395i | \(-0.0927892\pi\) | ||||
0.957812 | + | 0.287395i | \(0.0927892\pi\) | |||||||
\(758\) | −4.40021e8 | + | 2.54046e8i | −1.01034 | + | 0.583318i | ||||
\(759\) | −4.19980e8 | + | 4.11079e8i | −0.960512 | + | 0.940157i | ||||
\(760\) | −1.39767e8 | + | 2.42084e8i | −0.318393 | + | 0.551473i | ||||
\(761\) | 9.38045e7 | − | 5.41581e7i | 0.212848 | − | 0.122888i | −0.389786 | − | 0.920905i | \(-0.627451\pi\) |
0.602634 | + | 0.798017i | \(0.294118\pi\) | |||||||
\(762\) | 1.08352e8 | − | 3.87720e8i | 0.244892 | − | 0.876300i | ||||
\(763\) | −3.59959e8 | − | 5.14634e7i | −0.810363 | − | 0.115858i | ||||
\(764\) | 3.95687e7i | 0.0887303i | ||||||||
\(765\) | 9.11025e6 | − | 4.25276e8i | 0.0203491 | − | 0.949920i | ||||
\(766\) | −3.42586e8 | + | 5.93377e8i | −0.762226 | + | 1.32021i | ||||
\(767\) | −9.64369e6 | − | 5.56779e6i | −0.0213726 | − | 0.0123395i | ||||
\(768\) | 4.93522e7 | + | 1.92404e8i | 0.108949 | + | 0.424747i | ||||
\(769\) | −3.45811e8 | −0.760432 | −0.380216 | − | 0.924898i | \(-0.624150\pi\) | ||||
−0.380216 | + | 0.924898i | \(0.624150\pi\) | |||||||
\(770\) | 3.91413e8 | + | 3.07309e8i | 0.857359 | + | 0.673137i | ||||
\(771\) | −2.72650e7 | + | 9.75628e7i | −0.0594897 | + | 0.212873i | ||||
\(772\) | 2.97207e7 | + | 5.14777e7i | 0.0645962 | + | 0.111884i | ||||
\(773\) | −5.61436e8 | − | 3.24145e8i | −1.21552 | − | 0.701780i | −0.251563 | − | 0.967841i | \(-0.580944\pi\) |
−0.963956 | + | 0.266061i | \(0.914278\pi\) | |||||||
\(774\) | −7.55524e6 | − | 1.37584e7i | −0.0162939 | − | 0.0296719i | ||||
\(775\) | 3.27785e7 | + | 5.67741e7i | 0.0704181 | + | 0.121968i | ||||
\(776\) | − | 6.89635e8i | − | 1.47582i | ||||||
\(777\) | 7.68925e7 | + | 7.02105e8i | 0.163916 | + | 1.49672i | ||||
\(778\) | −5.56733e8 | −1.18225 | ||||||||
\(779\) | 2.92028e8 | − | 1.68602e8i | 0.617749 | − | 0.356657i | ||||
\(780\) | −5.13827e6 | − | 5.24952e6i | −0.0108276 | − | 0.0110621i | ||||
\(781\) | −5.13731e8 | + | 8.89808e8i | −1.07841 | + | 1.86785i | ||||
\(782\) | 5.57645e8 | − | 3.21956e8i | 1.16610 | − | 0.673251i | ||||
\(783\) | 5.57213e8 | − | 5.22512e8i | 1.16074 | − | 1.08846i | ||||
\(784\) | −5.21347e8 | − | 1.52185e8i | −1.08188 | − | 0.315808i | ||||
\(785\) | 5.65207e8i | 1.16842i | ||||||||
\(786\) | −2.54113e7 | − | 9.90680e7i | −0.0523310 | − | 0.204017i | ||||
\(787\) | 3.38790e8 | − | 5.86801e8i | 0.695034 | − | 1.20383i | −0.275135 | − | 0.961406i | \(-0.588722\pi\) |
0.970169 | − | 0.242429i | \(-0.0779442\pi\) | |||||||
\(788\) | 4.86445e7 | + | 2.80849e7i | 0.0994157 | + | 0.0573977i | ||||
\(789\) | 1.10966e8 | − | 2.84631e7i | 0.225922 | − | 0.0579498i | ||||
\(790\) | 2.82810e8 | 0.573605 | ||||||||
\(791\) | 6.15563e8 | − | 2.47000e8i | 1.24378 | − | 0.499077i | ||||
\(792\) | 4.82522e8 | + | 2.92539e8i | 0.971274 | + | 0.588855i | ||||
\(793\) | 2.04586e7 | + | 3.54353e7i | 0.0410257 | + | 0.0710587i | ||||
\(794\) | 3.26157e8 | + | 1.88307e8i | 0.651577 | + | 0.376188i | ||||
\(795\) | −4.93605e7 | + | 4.83144e7i | −0.0982377 | + | 0.0961558i | ||||
\(796\) | −1.11207e7 | − | 1.92616e7i | −0.0220491 | − | 0.0381902i | ||||
\(797\) | 5.62765e8i | 1.11161i | 0.831313 | + | 0.555805i | \(0.187590\pi\) | ||||
−0.831313 | + | 0.555805i | \(0.812410\pi\) | |||||||
\(798\) | 2.75530e8 | + | 3.75777e8i | 0.542202 | + | 0.739471i | ||||
\(799\) | −2.74708e8 | −0.538557 | ||||||||
\(800\) | 4.38176e7 | − | 2.52981e7i | 0.0855813 | − | 0.0494104i | ||||
\(801\) | −2.55359e8 | − | 4.65019e8i | −0.496883 | − | 0.904844i | ||||
\(802\) | −1.55005e6 | + | 2.68477e6i | −0.00300486 | + | 0.00520457i | ||||
\(803\) | −7.30112e8 | + | 4.21530e8i | −1.41008 | + | 0.814108i | ||||
\(804\) | 3.55922e7 | + | 9.94662e6i | 0.0684836 | + | 0.0191385i | ||||
\(805\) | 4.54951e8 | + | 6.50444e7i | 0.872122 | + | 0.124687i | ||||
\(806\) | − | 3.00960e7i | − | 0.0574782i | ||||||
\(807\) | −6.30507e7 | + | 1.61727e7i | −0.119969 | + | 0.0307725i | ||||
\(808\) | −3.95613e8 | + | 6.85222e8i | −0.749957 | + | 1.29896i | ||||
\(809\) | 6.52514e7 | + | 3.76729e7i | 0.123238 | + | 0.0711514i | 0.560352 | − | 0.828255i | \(-0.310666\pi\) |
−0.437114 | + | 0.899406i | \(0.643999\pi\) | |||||||
\(810\) | −2.49596e8 | + | 3.92476e8i | −0.469659 | + | 0.738513i | ||||
\(811\) | 3.72396e8 | 0.698139 | 0.349070 | − | 0.937097i | \(-0.386498\pi\) | ||||
0.349070 | + | 0.937097i | \(0.386498\pi\) | |||||||
\(812\) | 1.80054e7 | − | 1.25938e8i | 0.0336306 | − | 0.235228i | ||||
\(813\) | −2.27502e8 | − | 6.35779e7i | −0.423364 | − | 0.118314i | ||||
\(814\) | −5.42158e8 | − | 9.39045e8i | −1.00520 | − | 1.74106i | ||||
\(815\) | −2.80185e8 | − | 1.61765e8i | −0.517573 | − | 0.298821i | ||||
\(816\) | −4.98529e8 | − | 5.09322e8i | −0.917528 | − | 0.937394i | ||||
\(817\) | −7.36399e6 | − | 1.27548e7i | −0.0135035 | − | 0.0233888i | ||||
\(818\) | 4.85072e8i | 0.886229i | ||||||||
\(819\) | 6.52781e7 | − | 2.45837e7i | 0.118827 | − | 0.0447503i | ||||
\(820\) | 5.60573e7 | 0.101669 | ||||||||
\(821\) | −2.23646e8 | + | 1.29122e8i | −0.404140 | + | 0.233330i | −0.688269 | − | 0.725456i | \(-0.741629\pi\) |
0.284129 | + | 0.958786i | \(0.408296\pi\) | |||||||
\(822\) | 7.58656e7 | − | 7.42578e7i | 0.136593 | − | 0.133698i | ||||
\(823\) | 5.09474e8 | − | 8.82435e8i | 0.913950 | − | 1.58301i | 0.105518 | − | 0.994417i | \(-0.466350\pi\) |
0.808431 | − | 0.588590i | \(-0.200317\pi\) | |||||||
\(824\) | −4.88112e8 | + | 2.81811e8i | −0.872444 | + | 0.503706i | ||||
\(825\) | 6.27821e7 | − | 2.24654e8i | 0.111808 | − | 0.400085i | ||||
\(826\) | 4.37300e7 | + | 1.08982e8i | 0.0775960 | + | 0.193382i | ||||
\(827\) | 6.12134e8i | 1.08226i | 0.840940 | + | 0.541128i | \(0.182003\pi\) | ||||
−0.840940 | + | 0.541128i | \(0.817997\pi\) | |||||||
\(828\) | −9.14582e7 | − | 1.95921e6i | −0.161113 | − | 0.00345136i | ||||
\(829\) | 1.85609e8 | − | 3.21484e8i | 0.325788 | − | 0.564282i | −0.655883 | − | 0.754862i | \(-0.727704\pi\) |
0.981672 | + | 0.190580i | \(0.0610370\pi\) | |||||||
\(830\) | 5.31845e8 | + | 3.07061e8i | 0.930145 | + | 0.537019i | ||||
\(831\) | 6.80235e7 | + | 2.65196e8i | 0.118538 | + | 0.462129i | ||||
\(832\) | 5.91902e7 | 0.102773 | ||||||||
\(833\) | 6.53506e8 | − | 1.59635e8i | 1.13061 | − | 0.276181i | ||||
\(834\) | 1.74664e8 | − | 6.25002e8i | 0.301096 | − | 1.07742i | ||||
\(835\) | 5.52353e7 | + | 9.56703e7i | 0.0948762 | + | 0.164330i | ||||
\(836\) | −8.04919e7 | − | 4.64720e7i | −0.137763 | − | 0.0795376i | ||||
\(837\) | −2.41093e8 | + | 5.63668e7i | −0.411158 | + | 0.0961273i | ||||
\(838\) | −3.60545e8 | − | 6.24483e8i | −0.612671 | − | 1.06118i | ||||
\(839\) | − | 3.66656e8i | − | 0.620831i | −0.950601 | − | 0.310416i | \(-0.899532\pi\) | ||
0.950601 | − | 0.310416i | \(-0.100468\pi\) | |||||||
\(840\) | −4.80397e7 | − | 4.38651e8i | −0.0810518 | − | 0.740084i | ||||
\(841\) | −9.11304e8 | −1.53206 | ||||||||
\(842\) | −2.10046e8 | + | 1.21270e8i | −0.351867 | + | 0.203151i | ||||
\(843\) | 2.51972e7 | + | 2.57428e7i | 0.0420601 | + | 0.0429707i | ||||
\(844\) | −3.09352e7 | + | 5.35814e7i | −0.0514548 | + | 0.0891224i | ||||
\(845\) | 4.19690e8 | − | 2.42308e8i | 0.695598 | − | 0.401604i | ||||
\(846\) | 2.56857e8 | + | 1.55725e8i | 0.424209 | + | 0.257185i | ||||
\(847\) | 2.06829e8 | − | 2.63433e8i | 0.340377 | − | 0.433531i | ||||
\(848\) | 1.15725e8i | 0.189776i | ||||||||
\(849\) | −1.00864e8 | − | 3.93226e8i | −0.164821 | − | 0.642568i | ||||
\(850\) | −1.27791e8 | + | 2.21340e8i | −0.208086 | + | 0.360415i | ||||
\(851\) | −8.67225e8 | − | 5.00693e8i | −1.40716 | − | 0.812424i | ||||
\(852\) | −1.54921e8 | + | 3.97377e7i | −0.250490 | + | 0.0642515i | ||||
\(853\) | −3.25847e8 | −0.525008 | −0.262504 | − | 0.964931i | \(-0.584548\pi\) | ||||
−0.262504 | + | 0.964931i | \(0.584548\pi\) | |||||||
\(854\) | 6.10685e7 | − | 4.27142e8i | 0.0980492 | − | 0.685802i | ||||
\(855\) | −2.26257e8 | + | 3.73194e8i | −0.361995 | + | 0.597086i | ||||
\(856\) | −2.84199e8 | − | 4.92247e8i | −0.453107 | − | 0.784805i | ||||
\(857\) | 7.10577e8 | + | 4.10252e8i | 1.12893 | + | 0.651790i | 0.943666 | − | 0.330898i | \(-0.107352\pi\) |
0.185267 | + | 0.982688i | \(0.440685\pi\) | |||||||
\(858\) | −7.65278e7 | + | 7.49059e7i | −0.121159 | + | 0.118592i | ||||
\(859\) | 1.92633e8 | + | 3.33650e8i | 0.303914 | + | 0.526395i | 0.977019 | − | 0.213152i | \(-0.0683731\pi\) |
−0.673105 | + | 0.739547i | \(0.735040\pi\) | |||||||
\(860\) | − | 2.44840e6i | − | 0.00384934i | ||||||
\(861\) | −2.14387e8 | + | 4.87232e8i | −0.335884 | + | 0.763354i | ||||
\(862\) | 1.10100e9 | 1.71896 | ||||||||
\(863\) | 4.34761e6 | − | 2.51009e6i | 0.00676423 | − | 0.00390533i | −0.496614 | − | 0.867971i | \(-0.665424\pi\) |
0.503378 | + | 0.864066i | \(0.332090\pi\) | |||||||
\(864\) | 4.35032e7 | + | 1.86073e8i | 0.0674497 | + | 0.288497i | ||||
\(865\) | −2.41838e8 | + | 4.18876e8i | −0.373660 | + | 0.647199i | ||||
\(866\) | −1.17705e8 | + | 6.79571e7i | −0.181235 | + | 0.104636i | ||||
\(867\) | 2.22549e8 | + | 6.21937e7i | 0.341482 | + | 0.0954308i | ||||
\(868\) | −2.54644e7 | + | 3.24334e7i | −0.0389380 | + | 0.0495945i | ||||
\(869\) | − | 5.35668e8i | − | 0.816274i | ||||||
\(870\) | 8.88315e8 | − | 2.27856e8i | 1.34899 | − | 0.346021i | ||||
\(871\) | 1.99760e7 | − | 3.45995e7i | 0.0302312 | − | 0.0523619i | ||||
\(872\) | −4.28684e8 | − | 2.47501e8i | −0.646529 | − | 0.373274i | ||||
\(873\) | 2.30597e7 | − | 1.07645e9i | 0.0346586 | − | 1.61790i | ||||
\(874\) | −6.60640e8 | −0.989534 | ||||||||
\(875\) | −6.76861e8 | + | 2.71596e8i | −1.01036 | + | 0.405415i | ||||
\(876\) | −1.26389e8 | − | 3.53208e7i | −0.188017 | − | 0.0525435i | ||||
\(877\) | 1.59922e8 | + | 2.76993e8i | 0.237088 | + | 0.410649i | 0.959878 | − | 0.280420i | \(-0.0904736\pi\) |
−0.722789 | + | 0.691069i | \(0.757140\pi\) | |||||||
\(878\) | −4.81261e8 | − | 2.77856e8i | −0.711046 | − | 0.410522i | ||||
\(879\) | 5.17353e8 | + | 5.28555e8i | 0.761764 | + | 0.778258i | ||||
\(880\) | 3.90456e8 | + | 6.76290e8i | 0.572960 | + | 0.992395i | ||||
\(881\) | − | 2.88156e8i | − | 0.421406i | −0.977550 | − | 0.210703i | \(-0.932425\pi\) | ||
0.977550 | − | 0.210703i | \(-0.0675753\pi\) | |||||||
\(882\) | −7.01532e8 | − | 2.21193e8i | −1.02245 | − | 0.322379i | ||||
\(883\) | −2.94513e8 | −0.427782 | −0.213891 | − | 0.976858i | \(-0.568614\pi\) | ||||
−0.213891 | + | 0.976858i | \(0.568614\pi\) | |||||||
\(884\) | 1.32023e7 | − | 7.62237e6i | 0.0191115 | − | 0.0110340i | ||||
\(885\) | −7.85983e7 | + | 7.69326e7i | −0.113392 | + | 0.110989i | ||||
\(886\) | 3.19583e8 | − | 5.53534e8i | 0.459497 | − | 0.795872i | ||||
\(887\) | 6.89034e8 | − | 3.97814e8i | 0.987346 | − | 0.570045i | 0.0828664 | − | 0.996561i | \(-0.473593\pi\) |
0.904480 | + | 0.426516i | \(0.140259\pi\) | |||||||
\(888\) | −2.58787e8 | + | 9.26022e8i | −0.369576 | + | 1.32246i | ||||
\(889\) | 2.22061e8 | + | 5.53410e8i | 0.316058 | + | 0.787666i | ||||
\(890\) | − | 6.36917e8i | − | 0.903468i | ||||||
\(891\) | 7.43386e8 | + | 4.72758e8i | 1.05095 | + | 0.668352i | ||||
\(892\) | 3.94156e7 | − | 6.82698e7i | 0.0555359 | − | 0.0961909i | ||||
\(893\) | 2.44085e8 | + | 1.40922e8i | 0.342757 | + | 0.197891i | ||||
\(894\) | −8.29879e7 | − | 3.23535e8i | −0.116145 | − | 0.452803i | ||||
\(895\) | −1.70272e8 | −0.237506 | ||||||||
\(896\) | −6.58572e8 | − | 5.17063e8i | −0.915543 | − | 0.718819i | ||||
\(897\) | −2.66177e7 | + | 9.52465e7i | −0.0368801 | + | 0.131969i | ||||
\(898\) | 7.15651e8 | + | 1.23954e9i | 0.988262 | + | 1.71172i | ||||
\(899\) | 4.22777e8 | + | 2.44090e8i | 0.581878 | + | 0.335948i | ||||
\(900\) | 3.18268e7 | − | 1.74773e7i | 0.0436582 | − | 0.0239743i | ||||
\(901\) | −7.16720e7 | − | 1.24140e8i | −0.0979885 | − | 0.169721i | ||||
\(902\) | − | 8.17205e8i | − | 1.11355i | ||||||
\(903\) | 2.12807e7 | + | 9.36373e6i | 0.0289016 | + | 0.0127170i | ||||
\(904\) | 9.02921e8 | 1.22221 | ||||||||
\(905\) | −8.69741e8 | + | 5.02145e8i | −1.17339 | + | 0.677460i | ||||
\(906\) | −4.35924e8 | − | 4.45362e8i | −0.586174 | − | 0.598865i | ||||
\(907\) | 1.82519e8 | − | 3.16132e8i | 0.244617 | − | 0.423689i | −0.717407 | − | 0.696654i | \(-0.754671\pi\) |
0.962024 | + | 0.272966i | \(0.0880045\pi\) | |||||||
\(908\) | −1.32441e8 | + | 7.64651e7i | −0.176916 | + | 0.102142i | ||||
\(909\) | −6.40423e8 | + | 1.05633e9i | −0.852659 | + | 1.40640i | ||||
\(910\) | 8.29002e7 | + | 1.18523e7i | 0.110010 | + | 0.0157281i | ||||
\(911\) | 6.38769e8i | 0.844868i | 0.906394 | + | 0.422434i | \(0.138824\pi\) | ||||
−0.906394 | + | 0.422434i | \(0.861176\pi\) | |||||||
\(912\) | 1.81677e8 | + | 7.08284e8i | 0.239506 | + | 0.933734i | ||||
\(913\) | 5.81601e8 | − | 1.00736e9i | 0.764210 | − | 1.32365i | ||||
\(914\) | 1.37111e9 | + | 7.91614e8i | 1.79571 | + | 1.03675i | ||||
\(915\) | 3.91456e8 | − | 1.00410e8i | 0.510999 | − | 0.131073i | ||||
\(916\) | −1.67415e8 | −0.217825 | ||||||||
\(917\) | 1.19154e8 | + | 9.35514e7i | 0.154526 | + | 0.121323i | ||||
\(918\) | −6.60274e8 | − | 7.04125e8i | −0.853486 | − | 0.910168i | ||||
\(919\) | 5.13839e8 | + | 8.89996e8i | 0.662035 | + | 1.14668i | 0.980080 | + | 0.198602i | \(0.0636402\pi\) |
−0.318045 | + | 0.948075i | \(0.603026\pi\) | |||||||
\(920\) | 5.41812e8 | + | 3.12815e8i | 0.695801 | + | 0.401721i | ||||
\(921\) | −1.06561e7 | + | 1.04303e7i | −0.0136402 | + | 0.0133511i | ||||
\(922\) | 5.24141e8 | + | 9.07838e8i | 0.668737 | + | 1.15829i | ||||
\(923\) | 1.72903e8i | 0.219886i | ||||||||
\(924\) | 1.45850e8 | − | 1.59730e7i | 0.184880 | − | 0.0202475i | ||||
\(925\) | 3.97469e8 | 0.502202 | ||||||||
\(926\) | 6.02026e7 | − | 3.47580e7i | 0.0758197 | − | 0.0437745i | ||||
\(927\) | −7.71315e8 | + | 4.23558e8i | −0.968262 | + | 0.531708i | ||||
\(928\) | 1.88386e8 | − | 3.26294e8i | 0.235725 | − | 0.408287i | ||||
\(929\) | −1.21083e9 | + | 6.99074e8i | −1.51021 | + | 0.871919i | −0.510278 | + | 0.860009i | \(0.670458\pi\) |
−0.999929 | + | 0.0119093i | \(0.996209\pi\) | |||||||
\(930\) | −2.86281e8 | − | 8.00045e7i | −0.355913 | − | 0.0994639i | ||||
\(931\) | −6.62546e8 | − | 1.93402e8i | −0.821045 | − | 0.239669i | ||||
\(932\) | 9.69670e7i | 0.119778i | ||||||||
\(933\) | −4.78284e8 | + | 1.22682e8i | −0.588900 | + | 0.151055i | ||||
\(934\) | −5.39250e8 | + | 9.34009e8i | −0.661835 | + | 1.14633i | ||||
\(935\) | −8.37691e8 | − | 4.83641e8i | −1.02482 | − | 0.591682i | ||||
\(936\) | 9.49353e7 | + | 2.03370e6i | 0.115771 | + | 0.00248004i | ||||
\(937\) | −4.91351e8 | −0.597273 | −0.298637 | − | 0.954367i | \(-0.596532\pi\) | ||||
−0.298637 | + | 0.954367i | \(0.596532\pi\) | |||||||
\(938\) | −3.91005e8 | + | 1.56894e8i | −0.473776 | + | 0.190107i | ||||
\(939\) | −3.08258e8 | − | 8.61460e7i | −0.372321 | − | 0.104049i | ||||
\(940\) | 2.34271e7 | + | 4.05769e7i | 0.0282056 | + | 0.0488535i | ||||
\(941\) | 9.83121e8 | + | 5.67605e8i | 1.17988 | + | 0.681205i | 0.955987 | − | 0.293409i | \(-0.0947897\pi\) |
0.223894 | + | 0.974613i | \(0.428123\pi\) | |||||||
\(942\) | 8.97161e8 | + | 9.16586e8i | 1.07329 | + | 1.09653i | ||||
\(943\) | −3.77352e8 | − | 6.53593e8i | −0.449999 | − | 0.779421i | ||||
\(944\) | 1.84273e8i | 0.219051i | ||||||||
\(945\) | −6.03177e7 | − | 6.86295e8i | −0.0714742 | − | 0.813234i | ||||
\(946\) | −3.56928e7 | −0.0421606 | ||||||||
\(947\) | 6.41597e8 | − | 3.70426e8i | 0.755462 | − | 0.436166i | −0.0722021 | − | 0.997390i | \(-0.523003\pi\) |
0.827664 | + | 0.561224i | \(0.189669\pi\) | |||||||
\(948\) | 5.95885e7 | − | 5.83257e7i | 0.0699419 | − | 0.0684597i | ||||
\(949\) | −7.09357e7 | + | 1.22864e8i | −0.0829978 | + | 0.143756i | ||||
\(950\) | 2.27090e8 | − | 1.31110e8i | 0.264866 | − | 0.152921i | ||||
\(951\) | 1.16116e8 | − | 4.15498e8i | 0.135005 | − | 0.483090i | ||||
\(952\) | 9.06568e8 | + | 1.29612e8i | 1.05073 | + | 0.150223i | ||||
\(953\) | − | 7.86808e8i | − | 0.909055i | −0.890733 | − | 0.454527i | \(-0.849808\pi\) | ||
0.890733 | − | 0.454527i | \(-0.150192\pi\) | |||||||
\(954\) | −3.35685e6 | + | 1.56701e8i | −0.00386622 | + | 0.180480i | ||||
\(955\) | 2.11248e8 | − | 3.65892e8i | 0.242539 | − | 0.420090i | ||||
\(956\) | 2.98070e7 | + | 1.72091e7i | 0.0341149 | + | 0.0196963i | ||||
\(957\) | −4.31580e8 | − | 1.68255e9i | −0.492408 | − | 1.91969i | ||||
\(958\) | −1.91486e8 | −0.217791 | ||||||||
\(959\) | −2.22550e7 | + | 1.55662e8i | −0.0252332 | + | 0.176493i | ||||
\(960\) | 1.57346e8 | − | 5.63034e8i | 0.177845 | − | 0.636387i | ||||
\(961\) | 3.64635e8 | + | 6.31566e8i | 0.410855 | + | 0.711621i | ||||
\(962\) | −1.58024e8 | − | 9.12351e7i | −0.177500 | − | 0.102479i | ||||
\(963\) | −4.27146e8 | − | 7.77850e8i | −0.478297 | − | 0.870997i | ||||
\(964\) | 4.00362e6 | + | 6.93447e6i | 0.00446912 | + | 0.00774074i | ||||
\(965\) | − | 6.34686e8i | − | 0.706280i | ||||||
\(966\) | 8.41033e8 | − | 6.16670e8i | 0.933000 | − | 0.684103i | ||||
\(967\) | −1.54788e9 | −1.71182 | −0.855909 | − | 0.517126i | \(-0.827002\pi\) | ||||
−0.855909 | + | 0.517126i | \(0.827002\pi\) | |||||||
\(968\) | 3.94855e8 | − | 2.27970e8i | 0.435323 | − | 0.251334i | ||||
\(969\) | −6.33547e8 | − | 6.47265e8i | −0.696318 | − | 0.711395i | ||||
\(970\) | 6.46316e8 | − | 1.11945e9i | 0.708157 | − | 1.22656i | ||||
\(971\) | 1.01244e9 | − | 5.84535e8i | 1.10589 | − | 0.638488i | 0.168131 | − | 0.985765i | \(-0.446227\pi\) |
0.937763 | + | 0.347277i | \(0.112894\pi\) | |||||||
\(972\) | 2.83526e7 | + | 1.34171e8i | 0.0308741 | + | 0.146103i | ||||
\(973\) | 3.57961e8 | + | 8.92095e8i | 0.388595 | + | 0.968440i | ||||
\(974\) | 3.90137e6i | 0.00422221i | ||||||||
\(975\) | −9.75296e6 | − | 3.80227e7i | −0.0105226 | − | 0.0410232i | ||||
\(976\) | 3.38552e8 | − | 5.86389e8i | 0.364146 | − | 0.630720i | ||||
\(977\) | −1.35917e9 | − | 7.84720e8i | −1.45744 | − | 0.841455i | −0.458558 | − | 0.888664i | \(-0.651634\pi\) |
−0.998885 | + | 0.0472094i | \(0.984967\pi\) | |||||||
\(978\) | −7.11143e8 | + | 1.82410e8i | −0.760221 | + | 0.194999i | ||||
\(979\) | −1.20638e9 | −1.28569 | ||||||||
\(980\) | −7.93105e7 | − | 8.29151e7i | −0.0842660 | − | 0.0880958i | ||||
\(981\) | −6.60856e8 | − | 4.00658e8i | −0.700003 | − | 0.424391i | ||||
\(982\) | −6.04404e8 | − | 1.04686e9i | −0.638253 | − | 1.10549i | ||||
\(983\) | 9.65561e8 | + | 5.57467e8i | 1.01653 | + | 0.586893i | 0.913096 | − | 0.407744i | \(-0.133684\pi\) |
0.103431 | + | 0.994637i | \(0.467018\pi\) | |||||||
\(984\) | −5.17860e8 | + | 5.06885e8i | −0.543535 | + | 0.532016i | ||||
\(985\) | −2.99877e8 | − | 5.19402e8i | −0.313786 | − | 0.543494i | ||||
\(986\) | 1.90322e9i | 1.98545i | ||||||||
\(987\) | −4.42277e8 | + | 4.84368e7i | −0.459984 | + | 0.0503760i | ||||
\(988\) | −1.56408e7 | −0.0162176 | ||||||||
\(989\) | −2.85468e7 | + | 1.64815e7i | −0.0295099 | + | 0.0170376i | ||||
\(990\) | 5.09092e8 | + | 9.27077e8i | 0.524675 | + | 0.955455i | ||||
\(991\) | 5.68360e8 | − | 9.84429e8i | 0.583986 | − | 1.01149i | −0.411015 | − | 0.911629i | \(-0.634826\pi\) |
0.995001 | − | 0.0998652i | \(-0.0318412\pi\) | |||||||
\(992\) | −1.05762e8 | + | 6.10615e7i | −0.108341 | + | 0.0625508i | ||||
\(993\) | 1.72068e9 | + | 4.80862e8i | 1.75732 | + | 0.491103i | ||||
\(994\) | 1.12596e9 | − | 1.43412e9i | 1.14648 | − | 1.46024i | ||||
\(995\) | 2.37482e8i | 0.241080i | ||||||||
\(996\) | 1.75388e8 | − | 4.49875e7i | 0.177509 | − | 0.0455317i | ||||
\(997\) | −2.44548e8 | + | 4.23570e8i | −0.246762 | + | 0.427405i | −0.962626 | − | 0.270836i | \(-0.912700\pi\) |
0.715863 | + | 0.698240i | \(0.246033\pi\) | |||||||
\(998\) | −9.72450e8 | − | 5.61444e8i | −0.978308 | − | 0.564826i | ||||
\(999\) | −4.34904e8 | + | 1.43677e9i | −0.436211 | + | 1.44109i |
(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 | 21.7.h.a.11.4 | yes | 28 | |
3.2 | odd | 2 | inner | 21.7.h.a.11.11 | yes | 28 | |
7.2 | even | 3 | inner | 21.7.h.a.2.11 | yes | 28 | |
7.3 | odd | 6 | 147.7.b.d.50.4 | 14 | |||
7.4 | even | 3 | 147.7.b.e.50.4 | 14 | |||
21.2 | odd | 6 | inner | 21.7.h.a.2.4 | ✓ | 28 | |
21.11 | odd | 6 | 147.7.b.e.50.11 | 14 | |||
21.17 | even | 6 | 147.7.b.d.50.11 | 14 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.7.h.a.2.4 | ✓ | 28 | 21.2 | odd | 6 | inner | |
21.7.h.a.2.11 | yes | 28 | 7.2 | even | 3 | inner | |
21.7.h.a.11.4 | yes | 28 | 1.1 | even | 1 | trivial | |
21.7.h.a.11.11 | yes | 28 | 3.2 | odd | 2 | inner | |
147.7.b.d.50.4 | 14 | 7.3 | odd | 6 | |||
147.7.b.d.50.11 | 14 | 21.17 | even | 6 | |||
147.7.b.e.50.4 | 14 | 7.4 | even | 3 | |||
147.7.b.e.50.11 | 14 | 21.11 | odd | 6 |