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 | 2.11 | ||
Character | \(\chi\) | \(=\) | 21.2 |
Dual form | 21.7.h.a.11.11 |
$q$-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 \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).
\(n\) | \(8\) | \(10\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 | \(-0.153255\pi\) |
0.0421209 | + | 0.999113i | \(0.486589\pi\) | |||||||
\(3\) | 6.70842 | + | 26.1533i | 0.248460 | + | 0.968642i | ||||
\(4\) | 4.77856 | + | 8.27670i | 0.0746649 | + | 0.129323i | ||||
\(5\) | 88.3745 | + | 51.0231i | 0.706996 | + | 0.408185i | 0.809948 | − | 0.586502i | \(-0.199495\pi\) |
−0.102952 | + | 0.994686i | \(0.532829\pi\) | |||||||
\(6\) | −62.3258 | + | 223.022i | −0.288545 | + | 1.03251i | ||||
\(7\) | −127.732 | + | 318.329i | −0.372398 | + | 0.928073i | ||||
\(8\) | − | 466.932i | − | 0.911976i | ||||||
\(9\) | −638.994 | + | 350.895i | −0.876535 | + | 0.481338i | ||||
\(10\) | 437.602 | + | 757.948i | 0.437602 | + | 0.757948i | ||||
\(11\) | 1435.62 | − | 828.858i | 1.07861 | − | 0.622733i | 0.148085 | − | 0.988975i | \(-0.452689\pi\) |
0.930520 | + | 0.366242i | \(0.119356\pi\) | |||||||
\(12\) | −184.407 | + | 180.499i | −0.106717 | + | 0.104455i | ||||
\(13\) | −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 | \(-0.468965\pi\) |
0.910585 | + | 0.413322i | \(0.135631\pi\) | |||||||
\(18\) | −6250.87 | − | 133.906i | −1.07182 | − | 0.0229605i | ||||
\(19\) | 2933.29 | − | 5080.60i | 0.427655 | − | 0.740721i | −0.569009 | − | 0.822331i | \(-0.692673\pi\) |
0.996664 | + | 0.0816105i | \(0.0260063\pi\) | |||||||
\(20\) | 975.266i | 0.121908i | ||||||||
\(21\) | −9182.25 | − | 1205.14i | −0.991497 | − | 0.130131i | ||||
\(22\) | 14217.5 | 1.33522 | ||||||||
\(23\) | −11371.0 | − | 6565.05i | −0.934577 | − | 0.539578i | −0.0463208 | − | 0.998927i | \(-0.514750\pi\) |
−0.888256 | + | 0.459348i | \(0.848083\pi\) | |||||||
\(24\) | 12211.8 | − | 3132.37i | 0.883379 | − | 0.226590i | ||||
\(25\) | −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 | \(0.707144\pi\) | |||||||
\(30\) | −16887.3 | + | 16529.4i | −0.625454 | + | 0.612199i | ||||
\(31\) | 6289.55 | + | 10893.8i | 0.211123 | + | 0.365675i | 0.952066 | − | 0.305892i | \(-0.0989547\pi\) |
−0.740944 | + | 0.671567i | \(0.765621\pi\) | |||||||
\(32\) | 8407.73 | − | 4854.20i | 0.256584 | − | 0.148139i | ||||
\(33\) | 31308.2 | + | 31986.0i | 0.871196 | + | 0.890058i | ||||
\(34\) | 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 | 0.193613 | + | 0.981078i | \(0.437979\pi\) |
−0.946445 | + | 0.322866i | \(0.895354\pi\) | |||||||
\(38\) | 43574.0 | − | 25157.5i | 0.794103 | − | 0.458476i | ||||
\(39\) | −1871.40 | − | 7295.81i | −0.0315481 | − | 0.122993i | ||||
\(40\) | 23824.3 | − | 41264.9i | 0.372255 | − | 0.644764i | ||||
\(41\) | − | 57478.9i | − | 0.833983i | −0.908910 | − | 0.416991i | \(-0.863084\pi\) | ||
0.908910 | − | 0.416991i | \(-0.136916\pi\) | |||||||
\(42\) | −63033.2 | − | 48327.2i | −0.850789 | − | 0.652294i | ||||
\(43\) | −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 | ||||
\(45\) | −74374.6 | − | 1593.25i | −0.816182 | − | 0.0174842i | ||||
\(46\) | −56305.4 | − | 97523.9i | −0.578465 | − | 1.00193i | ||||
\(47\) | −41606.0 | − | 24021.2i | −0.400739 | − | 0.231367i | 0.286064 | − | 0.958211i | \(-0.407653\pi\) |
−0.686803 | + | 0.726844i | \(0.740986\pi\) | |||||||
\(48\) | 120041. | + | 33546.8i | 1.08544 | + | 0.303338i | ||||
\(49\) | −85017.9 | − | 81321.9i | −0.722640 | − | 0.691224i | ||||
\(50\) | − | 44697.4i | − | 0.357579i | ||||||
\(51\) | 107993. | + | 110331.i | 0.814111 | + | 0.831738i | ||||
\(52\) | −1333.04 | − | 2308.89i | −0.00948054 | − | 0.0164208i | ||||
\(53\) | −21710.2 | + | 12534.4i | −0.145826 | + | 0.0841928i | −0.571138 | − | 0.820854i | \(-0.693498\pi\) |
0.425312 | + | 0.905047i | \(0.360165\pi\) | |||||||
\(54\) | −38431.4 | − | 164379.i | −0.244064 | − | 1.04392i | ||||
\(55\) | 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 | \(-0.697649\pi\) |
0.413472 | + | 0.910517i | \(0.364316\pi\) | |||||||
\(60\) | −25506.5 | + | 6542.50i | −0.118086 | + | 0.0302893i | ||||
\(61\) | −73338.1 | + | 127025.i | −0.323102 | + | 0.559630i | −0.981126 | − | 0.193367i | \(-0.938059\pi\) |
0.658024 | + | 0.752997i | \(0.271392\pi\) | |||||||
\(62\) | 107885.i | 0.452676i | ||||||||
\(63\) | −30079.9 | − | 248231.i | −0.120297 | − | 0.992738i | ||||
\(64\) | −212180. | −0.809401 | ||||||||
\(65\) | −24653.2 | − | 14233.5i | −0.0897705 | − | 0.0518290i | ||||
\(66\) | 95376.7 | + | 371834.i | 0.331750 | + | 1.29335i | ||||
\(67\) | −71608.3 | − | 124029.i | −0.238089 | − | 0.412382i | 0.722077 | − | 0.691813i | \(-0.243188\pi\) |
−0.960166 | + | 0.279431i | \(0.909854\pi\) | |||||||
\(68\) | 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 | \(-0.333232\pi\) | |||||||
\(72\) | 163844. | + | 298367.i | 0.438968 | + | 0.799379i | ||||
\(73\) | 254284. | + | 440433.i | 0.653657 | + | 1.13217i | 0.982229 | + | 0.187689i | \(0.0600996\pi\) |
−0.328571 | + | 0.944479i | \(0.606567\pi\) | |||||||
\(74\) | −566469. | + | 327051.i | −1.39792 | + | 0.807087i | ||||
\(75\) | 100559. | − | 98427.7i | 0.238362 | − | 0.233310i | ||||
\(76\) | 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 | −0.654356 | − | 0.756186i | \(-0.727060\pi\) |
0.982055 | + | 0.188596i | \(0.0603937\pi\) | |||||||
\(80\) | 407965. | − | 235539.i | 0.796806 | − | 0.460036i | ||||
\(81\) | 285186. | − | 448440.i | 0.536628 | − | 0.843819i | ||||
\(82\) | 246485. | − | 426925.i | 0.447043 | − | 0.774302i | ||||
\(83\) | 701690.i | 1.22719i | 0.789622 | + | 0.613594i | \(0.210277\pi\) | ||||
−0.789622 | + | 0.613594i | \(0.789723\pi\) | |||||||
\(84\) | −33903.3 | − | 81757.6i | −0.0572011 | − | 0.137940i | ||||
\(85\) | 583503. | 0.950138 | ||||||||
\(86\) | −18646.7 | − | 10765.7i | −0.0293161 | − | 0.0169257i | ||||
\(87\) | −1.01498e6 | + | 260346.i | −1.54135 | + | 0.395361i | ||||
\(88\) | −387020. | − | 670338.i | −0.567918 | − | 0.983662i | ||||
\(89\) | −630238. | − | 363868.i | −0.893994 | − | 0.516148i | −0.0187473 | − | 0.999824i | \(-0.505968\pi\) |
−0.875247 | + | 0.483676i | \(0.839301\pi\) | |||||||
\(90\) | −545585. | − | 330772.i | −0.748402 | − | 0.453734i | ||||
\(91\) | 35632.6 | − | 88802.0i | 0.0472850 | − | 0.117842i | ||||
\(92\) | − | 125486.i | − | 0.161150i | ||||||
\(93\) | −242717. | + | 237573.i | −0.301753 | + | 0.295358i | ||||
\(94\) | −206019. | − | 356835.i | −0.248041 | − | 0.429620i | ||||
\(95\) | 518456. | − | 299331.i | 0.604702 | − | 0.349125i | ||||
\(96\) | 183356. | + | 187326.i | 0.207244 | + | 0.211731i | ||||
\(97\) | 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 | \(-0.359333\pi\) |
0.996666 | + | 0.0815908i | \(0.0260001\pi\) | |||||||
\(102\) | 328987. | + | 1.28259e6i | 0.310012 | + | 1.20861i | ||||
\(103\) | −603539. | + | 1.04536e6i | −0.552323 | + | 0.956652i | 0.445783 | + | 0.895141i | \(0.352925\pi\) |
−0.998106 | + | 0.0615111i | \(0.980408\pi\) | |||||||
\(104\) | 130257.i | 0.115798i | ||||||||
\(105\) | −749987. | − | 575011.i | −0.647867 | − | 0.496716i | ||||
\(106\) | −215003. | −0.180521 | ||||||||
\(107\) | −1.05422e6 | − | 608652.i | −0.860554 | − | 0.496841i | 0.00364376 | − | 0.999993i | \(-0.498840\pi\) |
−0.864198 | + | 0.503152i | \(0.832173\pi\) | |||||||
\(108\) | 54498.8 | − | 180045.i | 0.0432629 | − | 0.142926i | ||||
\(109\) | 530058. | + | 918087.i | 0.409302 | + | 0.708931i | 0.994812 | − | 0.101734i | \(-0.0324390\pi\) |
−0.585510 | + | 0.810665i | \(0.699106\pi\) | |||||||
\(110\) | 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 | \(0.766257\pi\) | |||||||
\(114\) | 950265. | + | 970839.i | 0.641402 | + | 0.655289i | ||||
\(115\) | −669938. | − | 1.16037e6i | −0.440495 | − | 0.762960i | ||||
\(116\) | −321209. | + | 185450.i | −0.205785 | + | 0.118810i | ||||
\(117\) | 178256. | − | 97886.7i | 0.111298 | − | 0.0611176i | ||||
\(118\) | −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 | ||||
\(123\) | 1.50327e6 | − | 385593.i | 0.807831 | − | 0.207211i | ||||
\(124\) | −60110.0 | + | 104114.i | −0.0315269 | + | 0.0546062i | ||||
\(125\) | − | 2.12629e6i | − | 1.08866i | ||||||
\(126\) | 841064. | − | 1.97273e6i | 0.420453 | − | 0.986179i | ||||
\(127\) | −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 | ||||
\(129\) | −16841.4 | − | 65657.7i | −0.00784530 | − | 0.0305856i | ||||
\(130\) | −122075. | − | 211439.i | −0.0555642 | − | 0.0962400i | ||||
\(131\) | 382494. | + | 220833.i | 0.170142 | + | 0.0982313i | 0.582653 | − | 0.812721i | \(-0.302015\pi\) |
−0.412511 | + | 0.910953i | \(0.635348\pi\) | |||||||
\(132\) | −115131. | + | 411975.i | −0.0500577 | + | 0.179122i | ||||
\(133\) | 1.24263e6 | + | 1.58271e6i | 0.528185 | + | 0.672738i | ||||
\(134\) | − | 1.22830e6i | − | 0.510495i | ||||||
\(135\) | −457267. | − | 1.95583e6i | −0.185853 | − | 0.794932i | ||||
\(136\) | −1.33497e6 | − | 2.31223e6i | −0.530706 | − | 0.919209i | ||||
\(137\) | 397020. | − | 229220.i | 0.154401 | − | 0.0891436i | −0.420809 | − | 0.907149i | \(-0.638254\pi\) |
0.575210 | + | 0.818006i | \(0.304920\pi\) | |||||||
\(138\) | 2.17285e6 | − | 2.12681e6i | 0.826786 | − | 0.809265i | ||||
\(139\) | −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 | ||||
\(144\) | −72074.7 | + | 3.36452e6i | −0.0241377 | + | 1.12677i | ||||
\(145\) | −1.98015e6 | + | 3.42972e6i | −0.649521 | + | 1.12500i | ||||
\(146\) | 4.36175e6i | 1.40153i | ||||||||
\(147\) | 1.55650e6 | − | 2.76904e6i | 0.490002 | − | 0.871721i | ||||
\(148\) | −728887. | −0.224841 | ||||||||
\(149\) | 1.24914e6 | + | 721194.i | 0.377619 | + | 0.218019i | 0.676782 | − | 0.736184i | \(-0.263374\pi\) |
−0.299163 | + | 0.954202i | \(0.596707\pi\) | |||||||
\(150\) | 1.16899e6 | − | 299849.i | 0.346366 | − | 0.0888441i | ||||
\(151\) | −1.34562e6 | − | 2.33067e6i | −0.390832 | − | 0.676941i | 0.601727 | − | 0.798701i | \(-0.294479\pi\) |
−0.992560 | + | 0.121761i | \(0.961146\pi\) | |||||||
\(152\) | −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 | ||||||||
\(156\) | 51442.7 | − | 50352.5i | 0.0135503 | − | 0.0132632i | ||||
\(157\) | 2.76937e6 | + | 4.79669e6i | 0.715619 | + | 1.23949i | 0.962720 | + | 0.270498i | \(0.0871885\pi\) |
−0.247102 | + | 0.968990i | \(0.579478\pi\) | |||||||
\(158\) | 2.40009e6 | − | 1.38570e6i | 0.608495 | − | 0.351315i | ||||
\(159\) | −473457. | − | 483708.i | −0.117785 | − | 0.120335i | ||||
\(160\) | 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 | −0.622905 | − | 0.782297i | \(-0.714048\pi\) |
0.988942 | + | 0.148303i | \(0.0473812\pi\) | |||||||
\(164\) | 475736. | − | 274666.i | 0.107854 | − | 0.0622693i | ||||
\(165\) | 1.13482e6 | + | 4.42419e6i | 0.252624 | + | 0.984877i | ||||
\(166\) | −3.00904e6 | + | 5.21181e6i | −0.657814 | + | 1.13937i | ||||
\(167\) | − | 1.08256e6i | − | 0.232435i | −0.993224 | − | 0.116217i | \(-0.962923\pi\) | ||
0.993224 | − | 0.116217i | \(-0.0370769\pi\) | |||||||
\(168\) | −562719. | + | 4.28749e6i | −0.118676 | + | 0.904222i | ||||
\(169\) | −4.74899e6 | −0.983877 | ||||||||
\(170\) | 4.33397e6 | + | 2.50222e6i | 0.882144 | + | 0.509306i | ||||
\(171\) | −91595.0 | + | 4.27575e6i | −0.0183182 | + | 0.855115i | ||||
\(172\) | −11996.5 | − | 20778.6i | −0.00235760 | − | 0.00408348i | ||||
\(173\) | −4.10478e6 | − | 2.36989e6i | −0.792777 | − | 0.457710i | 0.0481622 | − | 0.998840i | \(-0.484664\pi\) |
−0.840939 | + | 0.541129i | \(0.817997\pi\) | |||||||
\(174\) | −8.65521e6 | − | 2.41879e6i | −1.64297 | − | 0.459146i | ||||
\(175\) | 1.76958e6 | − | 252997.i | 0.330184 | − | 0.0472065i | ||||
\(176\) | − | 7.65254e6i | − | 1.40368i | ||||||
\(177\) | −753901. | − | 770223.i | −0.135955 | − | 0.138898i | ||||
\(178\) | −3.12073e6 | − | 5.40527e6i | −0.553346 | − | 0.958423i | ||||
\(179\) | −1.44503e6 | + | 834290.i | −0.251952 | + | 0.145465i | −0.620658 | − | 0.784082i | \(-0.713134\pi\) |
0.368706 | + | 0.929546i | \(0.379801\pi\) | |||||||
\(180\) | −342216. | − | 623190.i | −0.0586791 | − | 0.106857i | ||||
\(181\) | 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 | ||||
\(186\) | −2.82156e6 | + | 723740.i | −0.438481 | + | 0.112472i | ||||
\(187\) | 4.73944e6 | − | 8.20895e6i | 0.724773 | − | 1.25534i | ||||
\(188\) | − | 459147.i | − | 0.0691000i | ||||||
\(189\) | 6.29028e6 | − | 2.45193e6i | 0.931719 | − | 0.363180i | ||||
\(190\) | 5.13445e6 | 0.748571 | ||||||||
\(191\) | 3.58555e6 | + | 2.07012e6i | 0.514583 | + | 0.297095i | 0.734716 | − | 0.678375i | \(-0.237316\pi\) |
−0.220132 | + | 0.975470i | \(0.570649\pi\) | |||||||
\(192\) | −1.42339e6 | − | 5.54921e6i | −0.201104 | − | 0.784020i | ||||
\(193\) | −3.10980e6 | − | 5.38633e6i | −0.432574 | − | 0.749240i | 0.564520 | − | 0.825419i | \(-0.309061\pi\) |
−0.997094 | + | 0.0761794i | \(0.975728\pi\) | |||||||
\(194\) | 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 | \(0.874419\pi\) | |||||||
\(198\) | −9.08488e6 | + | 4.98884e6i | −1.17037 | + | 0.642694i | ||||
\(199\) | 1.16360e6 | + | 2.01542e6i | 0.147654 | + | 0.255744i | 0.930360 | − | 0.366648i | \(-0.119495\pi\) |
−0.782706 | + | 0.622392i | \(0.786161\pi\) | |||||||
\(200\) | −2.10743e6 | + | 1.21673e6i | −0.263429 | + | 0.152091i | ||||
\(201\) | 2.76340e6 | − | 2.70484e6i | 0.340295 | − | 0.333083i | ||||
\(202\) | 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 | ||||
\(207\) | 9.56965e6 | + | 205001.i | 1.07891 | + | 0.0231123i | ||||
\(208\) | −643890. | + | 1.11525e6i | −0.0715520 | + | 0.123932i | ||||
\(209\) | − | 9.72511e6i | − | 1.06526i | ||||||
\(210\) | −3.10473e6 | − | 7.48704e6i | −0.335248 | − | 0.808449i | ||||
\(211\) | −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 | ||||
\(213\) | 1.62100e7 | − | 4.15792e6i | 1.67743 | − | 0.430266i | ||||
\(214\) | −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 | ||||||||
\(219\) | −9.81294e6 | + | 9.60498e6i | −0.934258 | + | 0.914459i | ||||
\(220\) | 808357. | + | 1.40012e6i | 0.0759163 | + | 0.131491i | ||||
\(221\) | −1.38141e6 | + | 797560.i | −0.127981 | + | 0.0738901i | ||||
\(222\) | −1.23536e7 | − | 1.26211e7i | −1.12911 | − | 1.15355i | ||||
\(223\) | 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 | \(-0.426904\pi\) |
0.957104 | + | 0.289744i | \(0.0935702\pi\) | |||||||
\(228\) | 376125. | + | 1.46635e6i | 0.0317342 | + | 0.123718i | ||||
\(229\) | −8.75867e6 | + | 1.51705e7i | −0.729343 | + | 1.26326i | 0.227818 | + | 0.973704i | \(0.426841\pi\) |
−0.957161 | + | 0.289556i | \(0.906492\pi\) | |||||||
\(230\) | − | 1.14915e7i | − | 0.944481i | ||||||
\(231\) | −1.41811e7 | + | 5.88065e6i | −1.15047 | + | 0.477078i | ||||
\(232\) | 1.81211e7 | 1.45118 | ||||||||
\(233\) | 8.78674e6 | + | 5.07303e6i | 0.694640 | + | 0.401051i | 0.805348 | − | 0.592802i | \(-0.201978\pi\) |
−0.110708 | + | 0.993853i | \(0.535312\pi\) | |||||||
\(234\) | 1.74376e6 | + | 37354.7i | 0.136094 | + | 0.00291540i | ||||
\(235\) | −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 | \(0.957893\pi\) | |||||||
\(240\) | 8.89692e6 | + | 9.08955e6i | 0.643585 | + | 0.657520i | ||||
\(241\) | −418915. | − | 725582.i | −0.0299278 | − | 0.0518365i | 0.850674 | − | 0.525694i | \(-0.176194\pi\) |
−0.880601 | + | 0.473858i | \(0.842861\pi\) | |||||||
\(242\) | 7.25266e6 | − | 4.18732e6i | 0.511742 | − | 0.295454i | ||||
\(243\) | 1.36413e7 | + | 4.45025e6i | 0.950689 | + | 0.310146i | ||||
\(244\) | −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 | ||||
\(249\) | −1.83515e7 | + | 4.70723e6i | −1.18871 | + | 0.304907i | ||||
\(250\) | 9.11812e6 | − | 1.57931e7i | 0.583560 | − | 1.01076i | ||||
\(251\) | 1.63942e7i | 1.03674i | 0.855157 | + | 0.518370i | \(0.173461\pi\) | ||||
−0.855157 | + | 0.518370i | \(0.826539\pi\) | |||||||
\(252\) | 1.91080e6 | − | 1.43515e6i | 0.119402 | − | 0.0896800i | ||||
\(253\) | −2.17660e7 | −1.34405 | ||||||||
\(254\) | −1.29126e7 | − | 7.45509e6i | −0.787975 | − | 0.454938i | ||||
\(255\) | 3.91439e6 | + | 1.52606e7i | 0.236071 | + | 0.920344i | ||||
\(256\) | −3.67838e6 | − | 6.37114e6i | −0.219249 | − | 0.379750i | ||||
\(257\) | 3.24923e6 | + | 1.87594e6i | 0.191417 | + | 0.110515i | 0.592646 | − | 0.805463i | \(-0.298083\pi\) |
−0.401229 | + | 0.915978i | \(0.631417\pi\) | |||||||
\(258\) | 156468. | − | 559893.i | 0.00911102 | − | 0.0326021i | ||||
\(259\) | −1.61544e7 | − | 2.05755e7i | −0.929802 | − | 1.18427i | ||||
\(260\) | − | 272063.i | − | 0.0154792i | ||||||
\(261\) | −1.36178e7 | − | 2.47986e7i | −0.765926 | − | 1.39478i | ||||
\(262\) | 1.89398e6 | + | 3.28047e6i | 0.105311 | + | 0.182403i | ||||
\(263\) | −3.67446e6 | + | 2.12145e6i | −0.201988 | + | 0.116618i | −0.597583 | − | 0.801807i | \(-0.703872\pi\) |
0.395594 | + | 0.918425i | \(0.370539\pi\) | |||||||
\(264\) | 1.49353e7 | − | 1.46188e7i | 0.811712 | − | 0.794510i | ||||
\(265\) | −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 | \(-0.646942\pi\) |
0.552670 | + | 0.833400i | \(0.313609\pi\) | |||||||
\(270\) | 4.99078e6 | − | 1.64878e7i | 0.253558 | − | 0.837669i | ||||
\(271\) | −4.37442e6 | + | 7.57672e6i | −0.219792 | + | 0.380692i | −0.954744 | − | 0.297427i | \(-0.903871\pi\) |
0.734952 | + | 0.678119i | \(0.237205\pi\) | |||||||
\(272\) | − | 2.63963e7i | − | 1.31170i | ||||||
\(273\) | 2.56151e6 | + | 336190.i | 0.125895 | + | 0.0165233i | ||||
\(274\) | 3.93183e6 | 0.191136 | ||||||||
\(275\) | −7.48188e6 | − | 4.31966e6i | −0.359760 | − | 0.207707i | ||||
\(276\) | 3.28187e6 | − | 841812.i | 0.156097 | − | 0.0400394i | ||||
\(277\) | −5.07001e6 | − | 8.78152e6i | −0.238545 | − | 0.413172i | 0.721752 | − | 0.692152i | \(-0.243337\pi\) |
−0.960297 | + | 0.278980i | \(0.910004\pi\) | |||||||
\(278\) | −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 | \(0.990429\pi\) | |||||||
\(282\) | 7.95038e6 | − | 7.78189e6i | 0.354520 | − | 0.347006i | ||||
\(283\) | 7.51770e6 | + | 1.30210e7i | 0.331685 | + | 0.574495i | 0.982842 | − | 0.184448i | \(-0.0590496\pi\) |
−0.651157 | + | 0.758943i | \(0.725716\pi\) | |||||||
\(284\) | 5.12995e6 | − | 2.96178e6i | 0.223953 | − | 0.129300i | ||||
\(285\) | 1.13065e7 | + | 1.15513e7i | 0.488421 | + | 0.498996i | ||||
\(286\) | −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 | ||||
\(291\) | 9.90801e6 | + | 3.86272e7i | 0.402075 | + | 1.56752i | ||||
\(292\) | −2.43022e6 | + | 4.20926e6i | −0.0976106 | + | 0.169067i | ||||
\(293\) | 2.73930e7i | 1.08902i | 0.838754 | + | 0.544511i | \(0.183285\pi\) | ||||
−0.838754 | + | 0.544511i | \(0.816715\pi\) | |||||||
\(294\) | 2.34353e7 | − | 1.38924e7i | 0.922209 | − | 0.546682i | ||||
\(295\) | −4.07346e6 | −0.158671 | ||||||||
\(296\) | 3.08402e7 | + | 1.78056e7i | 1.18917 | + | 0.686565i | ||||
\(297\) | −3.12295e7 | − | 9.45300e6i | −1.19205 | − | 0.360828i | ||||
\(298\) | 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 | ||||||
\(303\) | 3.20033e7 | + | 3.26962e7i | 1.15045 | + | 1.17536i | ||||
\(304\) | −1.35410e7 | − | 2.34537e7i | −0.481981 | − | 0.834815i | ||||
\(305\) | −1.29624e7 | + | 7.48387e6i | −0.456864 | + | 0.263771i | ||||
\(306\) | −3.13369e7 | + | 1.72082e7i | −1.09368 | + | 0.600582i | ||||
\(307\) | −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 | \(-0.568350\pi\) |
0.739595 | + | 0.673052i | \(0.235017\pi\) | |||||||
\(312\) | −3.40665e6 | + | 873816.i | −0.112167 | + | 0.0287711i | ||||
\(313\) | −5.92720e6 | + | 1.02662e7i | −0.193293 | + | 0.334794i | −0.946340 | − | 0.323174i | \(-0.895250\pi\) |
0.753046 | + | 0.657967i | \(0.228584\pi\) | |||||||
\(314\) | 4.75032e7i | 1.53438i | ||||||||
\(315\) | 1.00072e7 | − | 2.34721e7i | 0.320171 | − | 0.750965i | ||||
\(316\) | 3.08825e6 | 0.0978703 | ||||||||
\(317\) | −1.38377e7 | − | 7.98923e6i | −0.434398 | − | 0.250800i | 0.266821 | − | 0.963746i | \(-0.414027\pi\) |
−0.701218 | + | 0.712947i | \(0.747360\pi\) | |||||||
\(318\) | −1.44233e6 | − | 5.62305e6i | −0.0448522 | − | 0.174860i | ||||
\(319\) | 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 | ||||||
\(324\) | 5.07438e6 | + | 217506.i | 0.149193 | + | 0.00639494i | ||||
\(325\) | 726920. | + | 1.25906e6i | 0.0211756 | + | 0.0366773i | ||||
\(326\) | 2.35483e7 | − | 1.35956e7i | 0.679685 | − | 0.392416i | ||||
\(327\) | −2.04552e7 | + | 2.00217e7i | −0.585006 | + | 0.572608i | ||||
\(328\) | −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 | 0.101559 | − | 0.994829i | \(-0.467617\pi\) |
0.810768 | − | 0.585368i | \(-0.199050\pi\) | |||||||
\(332\) | −5.80768e6 | + | 3.35307e6i | −0.158704 | + | 0.0916279i | ||||
\(333\) | 1.19075e6 | − | 5.55855e7i | 0.0322469 | − | 1.50532i | ||||
\(334\) | 4.64229e6 | − | 8.04069e6i | 0.124593 | − | 0.215801i | ||||
\(335\) | − | 1.46147e7i | − | 0.388737i | ||||||
\(336\) | −2.60121e7 | + | 3.39276e7i | −0.685736 | + | 0.894407i | ||||
\(337\) | 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 | ||||
\(339\) | −5.05735e7 | + | 1.29723e7i | −1.29815 | + | 0.332979i | ||||
\(340\) | 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 | ||||||||
\(345\) | 2.58532e7 | − | 2.53053e7i | 0.629590 | − | 0.616247i | ||||
\(346\) | −2.03255e7 | − | 3.52048e7i | −0.490696 | − | 0.849911i | ||||
\(347\) | 2.47273e6 | − | 1.42763e6i | 0.0591818 | − | 0.0341686i | −0.470117 | − | 0.882604i | \(-0.655788\pi\) |
0.529299 | + | 0.848435i | \(0.322455\pi\) | |||||||
\(348\) | −7.00495e6 | − | 7.15662e6i | −0.166214 | − | 0.169813i | ||||
\(349\) | −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 | \(-0.565814\pi\) |
0.744934 | + | 0.667138i | \(0.232481\pi\) | |||||||
\(354\) | −2.29667e6 | − | 8.95377e6i | −0.0517713 | − | 0.201835i | ||||
\(355\) | 3.16244e7 | − | 5.47750e7i | 0.706866 | − | 1.22433i | ||||
\(356\) | − | 6.95506e6i | − | 0.154153i | ||||||
\(357\) | −4.89157e7 | + | 2.02844e7i | −1.07509 | + | 0.445818i | ||||
\(358\) | −1.43106e7 | −0.311896 | ||||||||
\(359\) | −4.06713e7 | − | 2.34816e7i | −0.879032 | − | 0.507510i | −0.00869313 | − | 0.999962i | \(-0.502767\pi\) |
−0.870339 | + | 0.492453i | \(0.836100\pi\) | |||||||
\(360\) | −743939. | + | 3.47279e7i | −0.0159452 | + | 0.744338i | ||||
\(361\) | 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 | ||||||||
\(366\) | −2.37585e7 | − | 2.42729e7i | −0.484592 | − | 0.495084i | ||||
\(367\) | 1.64150e7 | + | 2.84317e7i | 0.332081 | + | 0.575181i | 0.982920 | − | 0.184035i | \(-0.0589160\pi\) |
−0.650839 | + | 0.759216i | \(0.725583\pi\) | |||||||
\(368\) | −5.24921e7 | + | 3.03063e7i | −1.05330 | + | 0.608121i | ||||
\(369\) | 2.01691e7 | + | 3.67287e7i | 0.401427 | + | 0.731015i | ||||
\(370\) | −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 | −0.904871 | − | 0.425687i | \(-0.860033\pi\) |
0.821091 | + | 0.570798i | \(0.193366\pi\) | |||||||
\(374\) | 7.04044e7 | − | 4.06480e7i | 1.34581 | − | 0.777006i | ||||
\(375\) | 5.56097e7 | − | 1.42641e7i | 1.05452 | − | 0.270489i | ||||
\(376\) | −1.12163e7 | + | 1.94272e7i | −0.211001 | + | 0.365465i | ||||
\(377\) | − | 1.08262e7i | − | 0.202047i | ||||||
\(378\) | 5.72357e7 | + | 8.76274e6i | 1.05972 | + | 0.162242i | ||||
\(379\) | 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 | ||||
\(381\) | −1.16625e7 | − | 4.54672e7i | −0.210871 | − | 0.822097i | ||||
\(382\) | 1.77545e7 | + | 3.07516e7i | 0.318506 | + | 0.551668i | ||||
\(383\) | −6.91860e7 | − | 3.99446e7i | −1.23146 | − | 0.710987i | −0.264130 | − | 0.964487i | \(-0.585085\pi\) |
−0.967335 | + | 0.253501i | \(0.918418\pi\) | |||||||
\(384\) | 1.77395e7 | − | 6.34777e7i | 0.313292 | − | 1.12106i | ||||
\(385\) | −2.16076e7 | + | 5.38497e7i | −0.378639 | + | 0.943628i | ||||
\(386\) | − | 5.33426e7i | − | 0.927497i | ||||||
\(387\) | 1.60419e6 | − | 880918.i | 0.0276772 | − | 0.0151986i | ||||
\(388\) | 7.05769e6 | + | 1.22243e7i | 0.120828 | + | 0.209280i | ||||
\(389\) | −5.62167e7 | + | 3.24567e7i | −0.955029 | + | 0.551386i | −0.894639 | − | 0.446789i | \(-0.852568\pi\) |
−0.0603893 | + | 0.998175i | \(0.519234\pi\) | |||||||
\(390\) | 4.71092e6 | − | 4.61108e6i | 0.0794167 | − | 0.0777336i | ||||
\(391\) | −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 | ||||
\(396\) | −1.15469e7 | − | 247357.i | −0.185943 | − | 0.00398326i | ||||
\(397\) | −2.19560e7 | + | 3.80290e7i | −0.350899 | + | 0.607776i | −0.986407 | − | 0.164319i | \(-0.947457\pi\) |
0.635508 | + | 0.772094i | \(0.280791\pi\) | |||||||
\(398\) | 1.99593e7i | 0.316590i | ||||||||
\(399\) | −3.30570e7 | + | 4.31164e7i | −0.520410 | + | 0.678771i | ||||
\(400\) | −2.40583e7 | −0.375911 | ||||||||
\(401\) | −313037. | − | 180732.i | −0.00485470 | − | 0.00280286i | 0.497571 | − | 0.867423i | \(-0.334226\pi\) |
−0.502425 | + | 0.864621i | \(0.667559\pi\) | |||||||
\(402\) | 3.21242e7 | − | 8.23997e6i | 0.494487 | − | 0.126837i | ||||
\(403\) | −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 | ||||||||
\(408\) | 5.15170e7 | − | 5.04252e7i | 0.758525 | − | 0.742450i | ||||
\(409\) | 2.82790e7 | + | 4.89806e7i | 0.413327 | + | 0.715903i | 0.995251 | − | 0.0973398i | \(-0.0310334\pi\) |
−0.581924 | + | 0.813243i | \(0.697700\pi\) | |||||||
\(410\) | 4.35661e7 | − | 2.51529e7i | 0.632116 | − | 0.364952i | ||||
\(411\) | 8.65824e6 | + | 8.84570e6i | 0.124711 | + | 0.127411i | ||||
\(412\) | −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 | ||||
\(417\) | −1.87999e7 | − | 7.32929e7i | −0.259267 | − | 1.01077i | ||||
\(418\) | 4.17039e7 | − | 7.22333e7i | 0.571016 | − | 0.989029i | ||||
\(419\) | 8.40770e7i | 1.14297i | 0.820612 | + | 0.571486i | \(0.193633\pi\) | ||||
−0.820612 | + | 0.571486i | \(0.806367\pi\) | |||||||
\(420\) | 1.17533e6 | − | 8.95514e6i | 0.0158640 | − | 0.120872i | ||||
\(421\) | 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 | ||||
\(423\) | 3.50149e7 | + | 750088.i | 0.462628 | + | 0.00991039i | ||||
\(424\) | 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 | ||||||
\(429\) | −8.73381e6 | − | 8.92291e6i | −0.110620 | − | 0.113015i | ||||
\(430\) | −1.09859e6 | − | 1.90282e6i | −0.0138176 | − | 0.0239327i | ||||
\(431\) | 1.11174e8 | − | 6.41866e7i | 1.38859 | − | 0.801701i | 0.395431 | − | 0.918496i | \(-0.370595\pi\) |
0.993156 | + | 0.116795i | \(0.0372620\pi\) | |||||||
\(432\) | −8.84770e7 | + | 2.06856e7i | −1.09744 | + | 0.256577i | ||||
\(433\) | 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 | ||||
\(438\) | −1.14074e8 | + | 2.92605e7i | −1.35758 | + | 0.348224i | ||||
\(439\) | 3.23972e7 | − | 5.61137e7i | 0.382926 | − | 0.663247i | −0.608553 | − | 0.793513i | \(-0.708250\pi\) |
0.991479 | + | 0.130266i | \(0.0415832\pi\) | |||||||
\(440\) | − | 7.89878e7i | − | 0.927261i | ||||||
\(441\) | 8.28614e7 | + | 2.21318e7i | 0.966132 | + | 0.258049i | ||||
\(442\) | −1.36806e7 | −0.158430 | ||||||||
\(443\) | 6.45405e7 | + | 3.72625e7i | 0.742371 | + | 0.428608i | 0.822931 | − | 0.568142i | \(-0.192337\pi\) |
−0.0805598 | + | 0.996750i | \(0.525671\pi\) | |||||||
\(444\) | −4.88968e6 | − | 1.90628e7i | −0.0558639 | − | 0.217790i | ||||
\(445\) | −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 | \(-0.373304\pi\) | |||||||
\(450\) | 1.56841e7 | + | 2.85614e7i | 0.172116 | + | 0.313431i | ||||
\(451\) | −4.76419e7 | − | 8.25181e7i | −0.519349 | − | 0.899538i | ||||
\(452\) | −1.60049e7 | + | 9.24044e6i | −0.173316 | + | 0.100064i | ||||
\(453\) | 5.19280e7 | − | 5.08275e7i | 0.558607 | − | 0.546769i | ||||
\(454\) | 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 | −0.263075 | + | 0.964775i | \(0.584737\pi\) |
−0.703982 | + | 0.710217i | \(0.748597\pi\) | |||||||
\(458\) | −1.30110e8 | + | 7.51192e7i | −1.35430 | + | 0.781906i | ||||
\(459\) | −1.07721e8 | − | 3.26067e7i | −1.11394 | − | 0.337185i | ||||
\(460\) | 6.40267e6 | − | 1.10898e7i | 0.0657791 | − | 0.113933i | ||||
\(461\) | − | 1.22227e8i | − | 1.24756i | −0.781598 | − | 0.623782i | \(-0.785595\pi\) | ||
0.781598 | − | 0.623782i | \(-0.214405\pi\) | |||||||
\(462\) | −1.30548e8 | − | 1.71341e7i | −1.32387 | − | 0.173754i | ||||
\(463\) | −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 | ||||
\(465\) | −3.35717e7 | + | 8.61126e6i | −0.333899 | + | 0.0856461i | ||||
\(466\) | 4.35090e7 | + | 7.53599e7i | 0.429954 | + | 0.744702i | ||||
\(467\) | −1.08903e8 | − | 6.28750e7i | −1.06927 | − | 0.617344i | −0.141289 | − | 0.989968i | \(-0.545125\pi\) |
−0.927982 | + | 0.372624i | \(0.878458\pi\) | |||||||
\(468\) | 1.66198e6 | + | 1.00761e6i | 0.0162140 | + | 0.00983005i | ||||
\(469\) | 4.86288e7 | − | 6.95247e6i | 0.471384 | − | 0.0673939i | ||||
\(470\) | − | 4.20469e7i | − | 0.404986i | ||||||
\(471\) | −1.06871e8 | + | 1.04606e8i | −1.02282 | + | 1.00114i | ||||
\(472\) | 9.31944e6 | + | 1.61417e7i | 0.0886266 | + | 0.153506i | ||||
\(473\) | −3.60412e6 | + | 2.08084e6i | −0.0340577 | + | 0.0196632i | ||||
\(474\) | 5.23414e7 | + | 5.34747e7i | 0.491485 | + | 0.502126i | ||||
\(475\) | −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 | \(-0.699055\pi\) |
0.409447 | + | 0.912334i | \(0.365722\pi\) | |||||||
\(480\) | 6.64607e6 | + | 2.59103e7i | 0.0600954 | + | 0.234287i | ||||
\(481\) | 1.06377e7 | − | 1.84251e7i | 0.0955904 | − | 0.165568i | ||||
\(482\) | − | 7.18569e6i | − | 0.0641693i | ||||||
\(483\) | 9.64996e7 | + | 7.39856e7i | 0.856414 | + | 0.656607i | ||||
\(484\) | 9.33213e6 | 0.0823085 | ||||||||
\(485\) | 1.30525e8 | + | 7.53586e7i | 1.14411 | + | 0.660553i | ||||
\(486\) | 8.22373e7 | + | 9.15521e7i | 0.716407 | + | 0.797553i | ||||
\(487\) | 227444. | + | 393944.i | 0.00196919 | + | 0.00341074i | 0.867008 | − | 0.498294i | \(-0.166040\pi\) |
−0.865039 | + | 0.501704i | \(0.832707\pi\) | |||||||
\(488\) | 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 | \(0.797015\pi\) | |||||||
\(492\) | 1.03749e7 | + | 1.05995e7i | 0.0871140 | + | 0.0890001i | ||||
\(493\) | 1.10955e8 | + | 1.92180e8i | 0.925991 | + | 1.60386i | ||||
\(494\) | −1.21555e7 | + | 7.01800e6i | −0.100831 | + | 0.0582147i | ||||
\(495\) | −1.08094e8 | + | 5.93586e7i | −0.891226 | + | 0.489405i | ||||
\(496\) | 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 | −0.472653 | − | 0.881248i | \(-0.656704\pi\) |
0.999510 | − | 0.0312944i | \(-0.00996293\pi\) | |||||||
\(500\) | 1.75987e7 | − | 1.01606e7i | 0.140790 | − | 0.0812849i | ||||
\(501\) | 2.83124e7 | − | 7.26223e6i | 0.225146 | − | 0.0577507i | ||||
\(502\) | −7.03029e7 | + | 1.21768e8i | −0.555728 | + | 0.962549i | ||||
\(503\) | − | 5.96687e7i | − | 0.468859i | −0.972133 | − | 0.234430i | \(-0.924678\pi\) | ||
0.972133 | − | 0.234430i | \(-0.0753223\pi\) | |||||||
\(504\) | −1.15907e8 | + | 1.40453e7i | −0.905353 | + | 0.109708i | ||||
\(505\) | 1.72919e8 | 1.34267 | ||||||||
\(506\) | −1.61667e8 | − | 9.33384e7i | −1.24787 | − | 0.720458i | ||||
\(507\) | −3.18582e7 | − | 1.24202e8i | −0.244454 | − | 0.953025i | ||||
\(508\) | −8.30745e6 | − | 1.43889e7i | −0.0633689 | − | 0.109758i | ||||
\(509\) | −9.49105e7 | − | 5.47966e7i | −0.719715 | − | 0.415528i | 0.0949326 | − | 0.995484i | \(-0.469736\pi\) |
−0.814648 | + | 0.579956i | \(0.803070\pi\) | |||||||
\(510\) | −3.63673e7 | + | 1.30134e8i | −0.274158 | + | 0.981024i | ||||
\(511\) | −1.72683e8 | + | 2.46885e7i | −1.29416 | + | 0.185026i | ||||
\(512\) | 9.31352e7i | 0.693912i | ||||||||
\(513\) | −1.12440e8 | + | 2.62880e7i | −0.832851 | + | 0.194718i | ||||
\(514\) | 1.60891e7 | + | 2.78671e7i | 0.118479 | + | 0.205212i | ||||
\(515\) | −1.06675e8 | + | 6.15888e7i | −0.780981 | + | 0.450900i | ||||
\(516\) | 462951. | − | 453140.i | 0.00336966 | − | 0.00329825i | ||||
\(517\) | −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 | \(-0.727617\pi\) |
0.326046 | + | 0.945354i | \(0.394283\pi\) | |||||||
\(522\) | 5.19673e6 | − | 2.42589e8i | 0.0365358 | − | 1.70553i | ||||
\(523\) | 1.36233e8 | − | 2.35962e8i | 0.952306 | − | 1.64944i | 0.211891 | − | 0.977293i | \(-0.432038\pi\) |
0.740415 | − | 0.672149i | \(-0.234629\pi\) | |||||||
\(524\) | 4.22105e6i | 0.0293377i | ||||||||
\(525\) | 1.84878e7 | + | 4.45832e7i | 0.127764 | + | 0.308101i | ||||
\(526\) | −3.63894e7 | −0.250045 | ||||||||
\(527\) | 6.22913e7 | + | 3.59639e7i | 0.425594 | + | 0.245717i | ||||
\(528\) | 2.00139e8 | − | 5.13364e7i | 1.35966 | − | 0.348758i | ||||
\(529\) | 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 | ||||||||
\(534\) | 1.20431e8 | − | 1.17878e8i | 0.790884 | − | 0.774124i | ||||
\(535\) | −6.21106e7 | − | 1.07579e8i | −0.405606 | − | 0.702530i | ||||
\(536\) | −5.79132e7 | + | 3.34362e7i | −0.376082 | + | 0.217131i | ||||
\(537\) | −3.15133e7 | − | 3.21956e7i | −0.203503 | − | 0.207909i | ||||
\(538\) | 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 | −0.566802 | − | 0.823854i | \(-0.691820\pi\) |
0.996880 | + | 0.0789380i | \(0.0251529\pi\) | |||||||
\(542\) | −6.49821e7 | + | 3.75174e7i | −0.408127 | + | 0.235632i | ||||
\(543\) | 6.60211e7 | + | 2.57389e8i | 0.412366 | + | 1.60765i | ||||
\(544\) | 2.77565e7 | − | 4.80757e7i | 0.172412 | − | 0.298627i | ||||
\(545\) | 1.08181e8i | 0.668283i | ||||||||
\(546\) | 1.75839e7 | + | 1.34815e7i | 0.108028 | + | 0.0828247i | ||||
\(547\) | 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 | ||||
\(549\) | 2.29006e6 | − | 1.06902e8i | 0.0138398 | − | 0.646057i | ||||
\(550\) | −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 | ||||||
\(555\) | −1.46987e8 | − | 1.50169e8i | −0.859802 | − | 0.878418i | ||||
\(556\) | −1.33916e7 | − | 2.31949e7i | −0.0779125 | − | 0.134948i | ||||
\(557\) | 2.01129e8 | − | 1.16122e8i | 1.16388 | − | 0.671968i | 0.211651 | − | 0.977345i | \(-0.432116\pi\) |
0.952232 | + | 0.305377i | \(0.0987825\pi\) | |||||||
\(558\) | −3.78564e7 | − | 6.89381e7i | −0.217890 | − | 0.396786i | ||||
\(559\) | 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 | \(-0.621135\pi\) |
0.618350 | + | 0.785903i | \(0.287801\pi\) | |||||||
\(564\) | 1.20082e7 | − | 3.08015e6i | 0.0669332 | − | 0.0171686i | ||||
\(565\) | −9.86649e7 | + | 1.70893e8i | −0.547038 | + | 0.947497i | ||||
\(566\) | 1.28952e8i | 0.711177i | ||||||||
\(567\) | 1.06324e8 | + | 1.48063e8i | 0.583287 | + | 0.812266i | ||||
\(568\) | −2.89407e8 | −1.57930 | ||||||||
\(569\) | −1.20964e8 | − | 6.98384e7i | −0.656626 | − | 0.379103i | 0.134364 | − | 0.990932i | \(-0.457101\pi\) |
−0.790990 | + | 0.611829i | \(0.790434\pi\) | |||||||
\(570\) | 3.44440e7 | + | 1.34283e8i | 0.185990 | + | 0.725097i | ||||
\(571\) | −1.08542e8 | − | 1.88000e8i | −0.583027 | − | 1.00983i | −0.995118 | − | 0.0986895i | \(-0.968535\pi\) |
0.412092 | − | 0.911142i | \(-0.364798\pi\) | |||||||
\(572\) | −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 | ||||||||
\(576\) | 1.35582e8 | − | 7.44528e7i | 0.709469 | − | 0.389595i | ||||
\(577\) | −3.81534e7 | − | 6.60837e7i | −0.198612 | − | 0.344007i | 0.749466 | − | 0.662042i | \(-0.230310\pi\) |
−0.948079 | + | 0.318036i | \(0.896977\pi\) | |||||||
\(578\) | 6.35672e7 | − | 3.67006e7i | 0.329192 | − | 0.190059i | ||||
\(579\) | 1.20009e8 | − | 1.17465e8i | 0.618268 | − | 0.605165i | ||||
\(580\) | −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 | ||||
\(585\) | 2.07477e7 | + | 444457.i | 0.103634 | + | 0.00222005i | ||||
\(586\) | −1.17469e8 | + | 2.03462e8i | −0.583753 | + | 1.01109i | ||||
\(587\) | − | 3.46645e8i | − | 1.71384i | −0.515447 | − | 0.856921i | \(-0.672374\pi\) | ||
0.515447 | − | 0.856921i | \(-0.327626\pi\) | |||||||
\(588\) | 3.03564e7 | − | 349320.i | 0.149320 | − | 0.00171827i | ||||
\(589\) | 7.37963e7 | 0.361151 | ||||||||
\(590\) | −3.02556e7 | − | 1.74681e7i | −0.147316 | − | 0.0850529i | ||||
\(591\) | −1.53710e8 | + | 3.94272e7i | −0.744631 | + | 0.191000i | ||||
\(592\) | 1.76035e8 | + | 3.04902e8i | 0.848465 | + | 1.46958i | ||||
\(593\) | 2.16280e8 | + | 1.24869e8i | 1.03718 | + | 0.598813i | 0.919032 | − | 0.394183i | \(-0.128972\pi\) |
0.118143 | + | 0.992997i | \(0.462306\pi\) | |||||||
\(594\) | −1.91420e8 | − | 2.04133e8i | −0.913331 | − | 0.973987i | ||||
\(595\) | −7.45323e7 | + | 1.85746e8i | −0.353829 | + | 0.881798i | ||||
\(596\) | 1.37851e7i | 0.0651134i | ||||||||
\(597\) | −4.49039e7 | + | 4.39523e7i | −0.211038 | + | 0.206566i | ||||
\(598\) | 1.57071e7 | + | 2.72055e7i | 0.0734502 | + | 0.127220i | ||||
\(599\) | 1.62210e7 | − | 9.36522e6i | 0.0754741 | − | 0.0435750i | −0.461788 | − | 0.886990i | \(-0.652792\pi\) |
0.537262 | + | 0.843415i | \(0.319459\pi\) | |||||||
\(600\) | −4.59590e7 | − | 4.69541e7i | −0.212773 | − | 0.217380i | ||||
\(601\) | −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 | ||||
\(606\) | 9.74943e7 | + | 3.80090e8i | 0.438088 | + | 1.70792i | ||||
\(607\) | −7.52753e7 | + | 1.30381e8i | −0.336579 | + | 0.582971i | −0.983787 | − | 0.179342i | \(-0.942603\pi\) |
0.647208 | + | 0.762313i | \(0.275936\pi\) | |||||||
\(608\) | − | 5.69551e7i | − | 0.253409i | ||||||
\(609\) | 4.67702e7 | − | 3.56353e8i | 0.207070 | − | 1.57771i | ||||
\(610\) | −1.28371e8 | −0.565561 | ||||||||
\(611\) | 1.16065e7 | + | 6.70103e6i | 0.0508837 | + | 0.0293777i | ||||
\(612\) | −3.98292e7 | − | 853219.i | −0.173759 | − | 0.00372226i | ||||
\(613\) | 1.53242e7 | + | 2.65423e7i | 0.0665267 | + | 0.115228i | 0.897370 | − | 0.441279i | \(-0.145475\pi\) |
−0.830843 | + | 0.556506i | \(0.812142\pi\) | |||||||
\(614\) | −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 | \(-0.126792\pi\) | |||||||
\(618\) | −1.95522e8 | − | 1.99755e8i | −0.828380 | − | 0.846316i | ||||
\(619\) | −1.32745e8 | − | 2.29921e8i | −0.559688 | − | 0.969409i | −0.997522 | − | 0.0703528i | \(-0.977588\pi\) |
0.437834 | − | 0.899056i | \(-0.355746\pi\) | |||||||
\(620\) | −1.06244e7 | + | 6.13399e6i | −0.0445788 | + | 0.0257376i | ||||
\(621\) | 5.88357e7 | + | 2.51653e8i | 0.245678 | + | 1.05082i | ||||
\(622\) | 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 | ||||
\(627\) | 2.54344e8 | − | 6.52401e7i | 1.03186 | − | 0.264675i | ||||
\(628\) | −2.64672e7 | + | 4.58425e7i | −0.106863 | + | 0.185093i | ||||
\(629\) | 4.36094e8i | 1.75238i | ||||||||
\(630\) | 1.74983e8 | − | 1.31425e8i | 0.699802 | − | 0.525603i | ||||
\(631\) | −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 | ||||
\(633\) | −4.34287e7 | − | 1.69311e8i | −0.171224 | − | 0.667533i | ||||
\(634\) | −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 | ||||||||
\(639\) | 2.17487e8 | + | 3.96052e8i | 0.833547 | + | 1.51792i | ||||
\(640\) | −1.24553e8 | − | 2.15732e8i | −0.475131 | − | 0.822951i | ||||
\(641\) | −4.04341e8 | + | 2.33447e8i | −1.53523 | + | 0.886366i | −0.536124 | + | 0.844140i | \(0.680112\pi\) |
−0.999108 | + | 0.0422269i | \(0.986555\pi\) | |||||||
\(642\) | 2.01447e8 | − | 1.97178e8i | 0.761301 | − | 0.745167i | ||||
\(643\) | 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 | \(-0.806991\pi\) |
0.0826612 | + | 0.996578i | \(0.473658\pi\) | |||||||
\(648\) | −2.09391e8 | − | 1.33163e8i | −0.769543 | − | 0.489392i | ||||
\(649\) | −3.30862e7 | + | 5.73069e7i | −0.121035 | + | 0.209639i | ||||
\(650\) | 1.24689e7i | 0.0454034i | ||||||||
\(651\) | −4.46237e7 | − | 1.07610e8i | −0.161742 | − | 0.390039i | ||||
\(652\) | 3.03001e7 | 0.109320 | ||||||||
\(653\) | 8.60382e7 | + | 4.96742e7i | 0.308995 | + | 0.178398i | 0.646477 | − | 0.762934i | \(-0.276242\pi\) |
−0.337482 | + | 0.941332i | \(0.609575\pi\) | |||||||
\(654\) | −2.37789e8 | + | 6.09938e7i | −0.850079 | + | 0.218048i | ||||
\(655\) | 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 | \(-0.213945\pi\) | |||||||
\(660\) | −3.11949e7 | + | 3.05338e7i | −0.108505 | + | 0.106206i | ||||
\(661\) | −2.85691e6 | − | 4.94832e6i | −0.00989219 | − | 0.0171338i | 0.861037 | − | 0.508542i | \(-0.169815\pi\) |
−0.870929 | + | 0.491409i | \(0.836482\pi\) | |||||||
\(662\) | 4.91482e8 | − | 2.83757e8i | 1.69408 | − | 0.978077i | ||||
\(663\) | −3.01260e7 | − | 3.07782e7i | −0.103371 | − | 0.105609i | ||||
\(664\) | 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 | ||||
\(669\) | 5.53339e7 | + | 2.15724e8i | 0.184805 | + | 0.720477i | ||||
\(670\) | 6.26718e7 | − | 1.08551e8i | 0.208376 | − | 0.360918i | ||||
\(671\) | 2.43147e8i | 0.804826i | ||||||||
\(672\) | −8.30519e7 | + | 3.44400e7i | −0.273679 | + | 0.113489i | ||||
\(673\) | 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 | ||||
\(675\) | −2.97187e7 | + | 9.81804e7i | −0.0966315 | + | 0.319237i | ||||
\(676\) | −2.26933e7 | − | 3.93060e7i | −0.0734612 | − | 0.127238i | ||||
\(677\) | −1.91967e8 | − | 1.10832e8i | −0.618671 | − | 0.357190i | 0.157680 | − | 0.987490i | \(-0.449599\pi\) |
−0.776352 | + | 0.630300i | \(0.782932\pi\) | |||||||
\(678\) | −4.31264e8 | − | 1.20521e8i | −1.38374 | − | 0.386701i | ||||
\(679\) | −1.88654e8 | + | 4.70157e8i | −0.602640 | + | 1.50187i | ||||
\(680\) | − | 2.72456e8i | − | 0.866503i | ||||||
\(681\) | 3.02214e8 | + | 3.08757e8i | 0.956914 | + | 0.977632i | ||||
\(682\) | 8.94215e7 | + | 1.54883e8i | 0.281896 | + | 0.488258i | ||||
\(683\) | −1.47158e8 | + | 8.49617e7i | −0.461872 | + | 0.266662i | −0.712831 | − | 0.701336i | \(-0.752587\pi\) |
0.250959 | + | 0.967998i | \(0.419254\pi\) | |||||||
\(684\) | −3.58268e7 | + | 1.96738e7i | −0.111954 | + | 0.0614781i | ||||
\(685\) | 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 | ||||
\(690\) | 3.00541e8 | − | 7.70898e7i | 0.914864 | − | 0.234666i | ||||
\(691\) | −2.24103e6 | + | 3.88158e6i | −0.00679226 | + | 0.0117645i | −0.869402 | − | 0.494106i | \(-0.835495\pi\) |
0.862609 | + | 0.505871i | \(0.168829\pi\) | |||||||
\(692\) | − | 4.52987e7i | − | 0.136700i | ||||||
\(693\) | −2.48932e8 | − | 3.31435e8i | −0.747964 | − | 0.995859i | ||||
\(694\) | 2.44883e7 | 0.0732622 | ||||||||
\(695\) | −2.47663e8 | − | 1.42989e8i | −0.737747 | − | 0.425938i | ||||
\(696\) | 1.21564e8 | + | 4.73927e8i | 0.360559 | + | 1.40567i | ||||
\(697\) | −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 | \(-0.145333\pi\) | |||||||
\(702\) | 1.07209e7 | + | 4.58557e7i | 0.0309899 | + | 0.132551i | ||||
\(703\) | 2.23711e8 | + | 3.87479e8i | 0.643905 | + | 1.11528i | ||||
\(704\) | −3.04610e8 | + | 1.75867e8i | −0.873024 | + | 0.504041i | ||||
\(705\) | 9.45958e7 | − | 9.25911e7i | 0.269963 | − | 0.264242i | ||||
\(706\) | 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 | −0.959392 | − | 0.282078i | \(-0.908976\pi\) |
0.723982 | + | 0.689819i | \(0.242310\pi\) | |||||||
\(710\) | 4.69781e8 | − | 2.71228e8i | 1.31256 | − | 0.757808i | ||||
\(711\) | −5.04513e6 | + | 2.35512e8i | −0.0140367 | + | 0.655246i | ||||
\(712\) | −1.69902e8 | + | 2.94278e8i | −0.470715 | + | 0.815301i | ||||
\(713\) | − | 1.65165e8i | − | 0.455669i | ||||||
\(714\) | −4.50307e8 | − | 5.91013e7i | −1.23713 | − | 0.162369i | ||||
\(715\) | −4.71903e7 | −0.129103 | ||||||||
\(716\) | −1.38103e7 | − | 7.97340e6i | −0.0376240 | − | 0.0217222i | ||||
\(717\) | −9.41864e7 | + | 2.41591e7i | −0.255523 | + | 0.0655426i | ||||
\(718\) | −2.01391e8 | − | 3.48819e8i | −0.544085 | − | 0.942383i | ||||
\(719\) | 5.06681e8 | + | 2.92532e8i | 1.36316 | + | 0.787022i | 0.990044 | − | 0.140762i | \(-0.0449551\pi\) |
0.373119 | + | 0.927784i | \(0.378288\pi\) | |||||||
\(720\) | −1.78038e8 | + | 2.93661e8i | −0.476996 | + | 0.786771i | ||||
\(721\) | −2.55677e8 | − | 3.25650e8i | −0.682159 | − | 0.868851i | ||||
\(722\) | 1.08315e8i | 0.287790i | ||||||||
\(723\) | 1.61661e7 | − | 1.58235e7i | 0.0427752 | − | 0.0418686i | ||||
\(724\) | 4.70283e7 | + | 8.14554e7i | 0.123921 | + | 0.214637i | ||||
\(725\) | 1.75159e8 | − | 1.01128e8i | 0.459640 | − | 0.265373i | ||||
\(726\) | 1.58166e8 | + | 1.61591e8i | 0.413337 | + | 0.422286i | ||||
\(727\) | 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 | ||||
\(732\) | −9.40387e6 | − | 3.66618e7i | −0.0239758 | − | 0.0934717i | ||||
\(733\) | 7.82392e7 | − | 1.35514e8i | 0.198661 | − | 0.344091i | −0.749434 | − | 0.662079i | \(-0.769674\pi\) |
0.948094 | + | 0.317989i | \(0.103007\pi\) | |||||||
\(734\) | 2.81569e8i | 0.712026i | ||||||||
\(735\) | 2.78840e8 | − | 1.65295e8i | 0.702253 | − | 0.416293i | ||||
\(736\) | −1.27472e8 | −0.319729 | ||||||||
\(737\) | −2.05605e8 | − | 1.18706e8i | −0.513608 | − | 0.296531i | ||||
\(738\) | −7.69676e6 | + | 3.59293e8i | −0.0191487 | + | 0.893881i | ||||
\(739\) | 1.52213e8 | + | 2.63641e8i | 0.377155 | + | 0.653251i | 0.990647 | − | 0.136450i | \(-0.0435692\pi\) |
−0.613492 | + | 0.789701i | \(0.710236\pi\) | |||||||
\(740\) | −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 | \(-0.0956981\pi\) | |||||||
\(744\) | 1.10930e8 | + | 1.13332e8i | 0.269359 | + | 0.275191i | ||||
\(745\) | 7.35951e7 | + | 1.27470e8i | 0.177984 | + | 0.308277i | ||||
\(746\) | −6.45861e7 | + | 3.72888e7i | −0.155569 | + | 0.0898177i | ||||
\(747\) | −2.46220e8 | − | 4.48376e8i | −0.590692 | − | 1.07567i | ||||
\(748\) | 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 | −0.969135 | − | 0.246530i | \(-0.920710\pi\) |
0.698069 | + | 0.716031i | \(0.254043\pi\) | |||||||
\(752\) | −1.92066e8 | + | 1.10890e8i | −0.451646 | + | 0.260758i | ||||
\(753\) | −4.28764e8 | + | 1.09979e8i | −1.00423 | + | 0.257588i | ||||
\(754\) | 4.64258e7 | − | 8.04119e7i | 0.108304 | − | 0.187588i | ||||
\(755\) | − | 2.74630e8i | − | 0.638126i | ||||||
\(756\) | 5.03524e7 | + | 4.03461e7i | 0.116534 | + | 0.0933763i | ||||
\(757\) | 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 | ||||
\(759\) | −1.46015e8 | − | 5.69253e8i | −0.333943 | − | 1.30191i | ||||
\(760\) | −1.39767e8 | − | 2.42084e8i | −0.318393 | − | 0.551473i | ||||
\(761\) | −9.38045e7 | − | 5.41581e7i | −0.212848 | − | 0.122888i | 0.389786 | − | 0.920905i | \(-0.372549\pi\) |
−0.602634 | + | 0.798017i | \(0.705882\pi\) | |||||||
\(762\) | 1.08352e8 | − | 3.87720e8i | 0.244892 | − | 0.876300i | ||||
\(763\) | −3.59959e8 | + | 5.14634e7i | −0.810363 | + | 0.115858i | ||||
\(764\) | 3.95687e7i | 0.0887303i | ||||||||
\(765\) | −3.72855e8 | + | 2.04748e8i | −0.832829 | + | 0.457337i | ||||
\(766\) | −3.42586e8 | − | 5.93377e8i | −0.762226 | − | 1.32021i | ||||
\(767\) | 9.64369e6 | − | 5.56779e6i | 0.0213726 | − | 0.0123395i | ||||
\(768\) | 1.41950e8 | − | 1.38942e8i | 0.313367 | − | 0.306726i | ||||
\(769\) | −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 | \(-0.419056\pi\) |
0.963956 | + | 0.266061i | \(0.0857222\pi\) | |||||||
\(774\) | 1.56927e7 | + | 336169.i | 0.0338435 | + | 0.000724995i | ||||
\(775\) | 3.27785e7 | − | 5.67741e7i | 0.0704181 | − | 0.121968i | ||||
\(776\) | − | 6.89635e8i | − | 1.47582i | ||||||
\(777\) | 4.29747e8 | − | 5.60519e8i | 0.916114 | − | 1.19489i | ||||
\(778\) | −5.56733e8 | −1.18225 | ||||||||
\(779\) | −2.92028e8 | − | 1.68602e8i | −0.617749 | − | 0.356657i | ||||
\(780\) | 7.11536e6 | − | 1.82511e6i | 0.0149938 | − | 0.00384597i | ||||
\(781\) | −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 | ||||||||
\(786\) | −7.30897e7 | + | 7.15408e7i | −0.150518 | + | 0.147328i | ||||
\(787\) | 3.38790e8 | + | 5.86801e8i | 0.695034 | + | 1.20383i | 0.970169 | + | 0.242429i | \(0.0779442\pi\) |
−0.275135 | + | 0.961406i | \(0.588722\pi\) | |||||||
\(788\) | −4.86445e7 | + | 2.80849e7i | −0.0994157 | + | 0.0573977i | ||||
\(789\) | −8.01328e7 | − | 8.18678e7i | −0.163147 | − | 0.166679i | ||||
\(790\) | 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 | ||||
\(795\) | −1.71613e7 | − | 6.69047e7i | −0.0341545 | − | 0.133154i | ||||
\(796\) | −1.11207e7 | + | 1.92616e7i | −0.0220491 | + | 0.0381902i | ||||
\(797\) | 5.62765e8i | 1.11161i | 0.831313 | + | 0.555805i | \(0.187590\pi\) | ||||
−0.831313 | + | 0.555805i | \(0.812410\pi\) | |||||||
\(798\) | −4.30426e8 | + | 1.78489e8i | −0.847013 | + | 0.351240i | ||||
\(799\) | −2.74708e8 | −0.538557 | ||||||||
\(800\) | −4.38176e7 | − | 2.52981e7i | −0.0855813 | − | 0.0494104i | ||||
\(801\) | 5.30398e8 | + | 1.13622e7i | 1.03206 | + | 0.0221087i | ||||
\(802\) | −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 | ||||||
\(807\) | 4.55313e7 | + | 4.65171e7i | 0.0866342 | + | 0.0885100i | ||||
\(808\) | −3.95613e8 | − | 6.85222e8i | −0.749957 | − | 1.29896i | ||||
\(809\) | −6.52514e7 | + | 3.76729e7i | −0.123238 | + | 0.0711514i | −0.560352 | − | 0.828255i | \(-0.689334\pi\) |
0.437114 | + | 0.899406i | \(0.356001\pi\) | |||||||
\(810\) | 4.64692e8 | + | 1.99184e7i | 0.874400 | + | 0.0374799i | ||||
\(811\) | 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 | ||||
\(816\) | 6.90350e8 | − | 1.77077e8i | 1.27057 | − | 0.325906i | ||||
\(817\) | −7.36399e6 | + | 1.27548e7i | −0.0135035 | + | 0.0233888i | ||||
\(818\) | 4.85072e8i | 0.886229i | ||||||||
\(819\) | 8.39118e6 | + | 6.92473e7i | 0.0152746 | + | 0.126052i | ||||
\(820\) | 5.60573e7 | 0.101669 | ||||||||
\(821\) | 2.23646e8 | + | 1.29122e8i | 0.404140 | + | 0.233330i | 0.688269 | − | 0.725456i | \(-0.258371\pi\) |
−0.284129 | + | 0.958786i | \(0.591704\pi\) | |||||||
\(822\) | 2.63763e7 | + | 1.02830e8i | 0.0474897 | + | 0.185142i | ||||
\(823\) | 5.09474e8 | + | 8.82435e8i | 0.913950 | + | 1.58301i | 0.808431 | + | 0.588590i | \(0.200317\pi\) |
0.105518 | + | 0.994417i | \(0.466350\pi\) | |||||||
\(824\) | 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 | \(0.817997\pi\) | |||||||
\(828\) | 4.40324e7 | + | 8.01847e7i | 0.0775677 | + | 0.141254i | ||||
\(829\) | 1.85609e8 | + | 3.21484e8i | 0.325788 | + | 0.564282i | 0.981672 | − | 0.190580i | \(-0.0610370\pi\) |
−0.655883 | + | 0.754862i | \(0.727704\pi\) | |||||||
\(830\) | −5.31845e8 | + | 3.07061e8i | −0.930145 | + | 0.537019i | ||||
\(831\) | 1.95654e8 | − | 1.91508e8i | 0.340947 | − | 0.333721i | ||||
\(832\) | 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 | ||||
\(837\) | 7.17315e7 | − | 2.36976e8i | 0.122330 | − | 0.404136i | ||||
\(838\) | −3.60545e8 | + | 6.24483e8i | −0.612671 | + | 1.06118i | ||||
\(839\) | − | 3.66656e8i | − | 0.620831i | −0.950601 | − | 0.310416i | \(-0.899532\pi\) | ||
0.950601 | − | 0.310416i | \(-0.100468\pi\) | |||||||
\(840\) | −2.68491e8 | + | 3.50193e8i | −0.452993 | + | 0.590840i | ||||
\(841\) | −9.11304e8 | −1.53206 | ||||||||
\(842\) | 2.10046e8 | + | 1.21270e8i | 0.351867 | + | 0.203151i | ||||
\(843\) | −3.48925e7 | + | 8.95005e6i | −0.0582438 | + | 0.0149397i | ||||
\(844\) | −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 | ||||||||
\(849\) | −2.90112e8 | + | 2.83964e8i | −0.474070 | + | 0.464023i | ||||
\(850\) | −1.27791e8 | − | 2.21340e8i | −0.208086 | − | 0.360415i | ||||
\(851\) | 8.67225e8 | − | 5.00693e8i | 1.40716 | − | 0.812424i | ||||
\(852\) | 1.11874e8 | + | 1.14296e8i | 0.180889 | + | 0.184805i | ||||
\(853\) | −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 | \(-0.892648\pi\) |
−0.185267 | + | 0.982688i | \(0.559315\pi\) | |||||||
\(858\) | −2.66066e7 | − | 1.03728e8i | −0.0421237 | − | 0.164223i | ||||
\(859\) | 1.92633e8 | − | 3.33650e8i | 0.303914 | − | 0.526395i | −0.673105 | − | 0.739547i | \(-0.735040\pi\) |
0.977019 | + | 0.213152i | \(0.0683731\pi\) | |||||||
\(860\) | − | 2.44840e6i | − | 0.00384934i | ||||||
\(861\) | −6.92703e7 | + | 5.27786e8i | −0.108527 | + | 0.826891i | ||||
\(862\) | 1.10100e9 | 1.71896 | ||||||||
\(863\) | −4.34761e6 | − | 2.51009e6i | −0.00676423 | − | 0.00390533i | 0.496614 | − | 0.867971i | \(-0.334576\pi\) |
−0.503378 | + | 0.864066i | \(0.667910\pi\) | |||||||
\(864\) | −1.82895e8 | − | 5.53615e7i | −0.283571 | − | 0.0858355i | ||||
\(865\) | −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 | ||||||
\(870\) | −6.41486e8 | − | 6.55375e8i | −0.974158 | − | 0.995250i | ||||
\(871\) | 1.99760e7 | + | 3.45995e7i | 0.0302312 | + | 0.0523619i | ||||
\(872\) | 4.28684e8 | − | 2.47501e8i | 0.646529 | − | 0.373274i | ||||
\(873\) | −9.43763e8 | + | 5.18255e8i | −1.41847 | + | 0.778934i | ||||
\(874\) | −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 | −0.722789 | − | 0.691069i | \(-0.757140\pi\) |
0.959878 | + | 0.280420i | \(0.0904736\pi\) | |||||||
\(878\) | 4.81261e8 | − | 2.77856e8i | 0.711046 | − | 0.410522i | ||||
\(879\) | −7.16419e8 | + | 1.83764e8i | −1.05487 | + | 0.270579i | ||||
\(880\) | 3.90456e8 | − | 6.76290e8i | 0.572960 | − | 0.992395i | ||||
\(881\) | − | 2.88156e8i | − | 0.421406i | −0.977550 | − | 0.210703i | \(-0.932425\pi\) | ||
0.977550 | − | 0.210703i | \(-0.0675753\pi\) | |||||||
\(882\) | 5.20546e8 | + | 5.19716e8i | 0.758671 | + | 0.757462i | ||||
\(883\) | −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 | ||||
\(885\) | −2.73264e7 | − | 1.06534e8i | −0.0394233 | − | 0.153695i | ||||
\(886\) | 3.19583e8 | + | 5.53534e8i | 0.459497 | + | 0.795872i | ||||
\(887\) | −6.89034e8 | − | 3.97814e8i | −0.987346 | − | 0.570045i | −0.0828664 | − | 0.996561i | \(-0.526407\pi\) |
−0.904480 | + | 0.426516i | \(0.859741\pi\) | |||||||
\(888\) | −2.58787e8 | + | 9.26022e8i | −0.369576 | + | 1.32246i | ||||
\(889\) | 2.22061e8 | − | 5.53410e8i | 0.316058 | − | 0.787666i | ||||
\(890\) | − | 6.36917e8i | − | 0.903468i | ||||||
\(891\) | 3.77272e7 | − | 8.80170e8i | 0.0533362 | − | 1.24432i | ||||
\(892\) | 3.94156e7 | + | 6.82698e7i | 0.0555359 | + | 0.0961909i | ||||
\(893\) | −2.44085e8 | + | 1.40922e8i | −0.342757 | + | 0.197891i | ||||
\(894\) | −2.38696e8 | + | 2.33637e8i | −0.334066 | + | 0.326986i | ||||
\(895\) | −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 | ||||
\(900\) | −777649. | + | 3.63015e7i | −0.00106673 | + | 0.0497963i | ||||
\(901\) | −7.16720e7 | + | 1.24140e8i | −0.0979885 | + | 0.169721i | ||||
\(902\) | − | 8.17205e8i | − | 1.11355i | ||||||
\(903\) | 2.30519e7 | + | 3.02550e6i | 0.0313072 | + | 0.00410897i | ||||
\(904\) | 9.02921e8 | 1.22221 | ||||||||
\(905\) | 8.69741e8 | + | 5.02145e8i | 1.17339 | + | 0.677460i | ||||
\(906\) | 6.03657e8 | − | 1.54840e8i | 0.811719 | − | 0.208209i | ||||
\(907\) | 1.82519e8 | + | 3.16132e8i | 0.244617 | + | 0.423689i | 0.962024 | − | 0.272966i | \(-0.0880045\pi\) |
−0.717407 | + | 0.696654i | \(0.754671\pi\) | |||||||
\(908\) | 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 | \(0.861176\pi\) | |||||||
\(912\) | 5.22553e8 | − | 5.11479e8i | 0.688884 | − | 0.674285i | ||||
\(913\) | 5.81601e8 | + | 1.00736e9i | 0.764210 | + | 1.32365i | ||||
\(914\) | −1.37111e9 | + | 7.91614e8i | −1.79571 | + | 1.03675i | ||||
\(915\) | −2.82686e8 | − | 2.88806e8i | −0.369012 | − | 0.377002i | ||||
\(916\) | −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 | −0.318045 | − | 0.948075i | \(-0.603026\pi\) |
0.980080 | − | 0.198602i | \(-0.0636402\pi\) | |||||||
\(920\) | −5.41812e8 | + | 3.12815e8i | −0.695801 | + | 0.401721i | ||||
\(921\) | −3.70483e6 | − | 1.44436e7i | −0.00474230 | − | 0.0184883i | ||||
\(922\) | 5.24141e8 | − | 9.07838e8i | 0.668737 | − | 1.15829i | ||||
\(923\) | 1.72903e8i | 0.219886i | ||||||||
\(924\) | −1.16438e8 | − | 8.92721e7i | −0.147597 | − | 0.113162i | ||||
\(925\) | 3.97469e8 | 0.502202 | ||||||||
\(926\) | −6.02026e7 | − | 3.47580e7i | −0.0758197 | − | 0.0437745i | ||||
\(927\) | 1.88461e7 | − | 8.79758e8i | 0.0236583 | − | 1.10439i | ||||
\(928\) | 1.88386e8 | + | 3.26294e8i | 0.235725 | + | 0.408287i | ||||
\(929\) | 1.21083e9 | + | 6.99074e8i | 1.51021 | + | 0.871919i | 0.999929 | + | 0.0119093i | \(0.00379093\pi\) |
0.510278 | + | 0.860009i | \(0.329542\pi\) | |||||||
\(930\) | −2.86281e8 | − | 8.00045e7i | −0.355913 | − | 0.0994639i | ||||
\(931\) | −6.62546e8 | + | 1.93402e8i | −0.821045 | + | 0.239669i | ||||
\(932\) | 9.69670e7i | 0.119778i | ||||||||
\(933\) | 3.45388e8 | + | 3.52866e8i | 0.425267 | + | 0.434475i | ||||
\(934\) | −5.39250e8 | − | 9.34009e8i | −0.661835 | − | 1.14633i | ||||
\(935\) | 8.37691e8 | − | 4.83641e8i | 1.02482 | − | 0.591682i | ||||
\(936\) | −4.57064e7 | − | 8.32332e7i | −0.0557378 | − | 0.101501i | ||||
\(937\) | −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 | \(-0.905210\pi\) |
−0.223894 | + | 0.974613i | \(0.571877\pi\) | |||||||
\(942\) | −1.24237e9 | + | 3.18671e8i | −1.48627 | + | 0.381233i | ||||
\(943\) | −3.77352e8 | + | 6.53593e8i | −0.449999 | + | 0.779421i | ||||
\(944\) | 1.84273e8i | 0.219051i | ||||||||
\(945\) | 6.81006e8 | + | 1.04262e8i | 0.806966 | + | 0.123546i | ||||
\(946\) | −3.56928e7 | −0.0421606 | ||||||||
\(947\) | −6.41597e8 | − | 3.70426e8i | −0.755462 | − | 0.436166i | 0.0722021 | − | 0.997390i | \(-0.476997\pi\) |
−0.827664 | + | 0.561224i | \(0.810331\pi\) | |||||||
\(948\) | 2.07173e7 | + | 8.07680e7i | 0.0243168 | + | 0.0948013i | ||||
\(949\) | −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 | \(-0.150192\pi\) | |||||||
\(954\) | 1.37386e8 | − | 7.54436e7i | 0.158233 | − | 0.0868915i | ||||
\(955\) | 2.11248e8 | + | 3.65892e8i | 0.242539 | + | 0.420090i | ||||
\(956\) | −2.98070e7 | + | 1.72091e7i | −0.0341149 | + | 0.0196963i | ||||
\(957\) | −1.24134e9 | + | 1.21503e9i | −1.41630 | + | 1.38629i | ||||
\(958\) | −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 | ||||
\(963\) | 8.87211e8 | + | 1.90058e7i | 0.993454 | + | 0.0212817i | ||||
\(964\) | 4.00362e6 | − | 6.93447e6i | 0.00446912 | − | 0.00774074i | ||||
\(965\) | − | 6.34686e8i | − | 0.706280i | ||||||
\(966\) | 3.99481e8 | + | 9.63345e8i | 0.443164 | + | 1.06869i | ||||
\(967\) | −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 | ||||
\(969\) | 8.77321e8 | − | 2.25036e8i | 0.964245 | − | 0.247332i | ||||
\(970\) | 6.46316e8 | + | 1.11945e9i | 0.708157 | + | 1.22656i | ||||
\(971\) | −1.01244e9 | − | 5.84535e8i | −1.10589 | − | 0.638488i | −0.168131 | − | 0.985765i | \(-0.553773\pi\) |
−0.937763 | + | 0.347277i | \(0.887106\pi\) | |||||||
\(972\) | 2.83526e7 | + | 1.34171e8i | 0.0308741 | + | 0.146103i | ||||
\(973\) | 3.57961e8 | − | 8.92095e8i | 0.388595 | − | 0.968440i | ||||
\(974\) | 3.90137e6i | 0.00422221i | ||||||||
\(975\) | −2.80522e7 | + | 2.74577e7i | −0.0302658 | + | 0.0296244i | ||||
\(976\) | 3.38552e8 | + | 5.86389e8i | 0.364146 | + | 0.630720i | ||||
\(977\) | 1.35917e9 | − | 7.84720e8i | 1.45744 | − | 0.841455i | 0.458558 | − | 0.888664i | \(-0.348366\pi\) |
0.998885 | + | 0.0472094i | \(0.0150328\pi\) | |||||||
\(978\) | 5.13543e8 | + | 5.24662e8i | 0.548985 | + | 0.560871i | ||||
\(979\) | −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 | \(-0.866316\pi\) |
−0.103431 | + | 0.994637i | \(0.532982\pi\) | |||||||
\(984\) | −1.80046e8 | − | 7.01923e8i | −0.188972 | − | 0.736723i | ||||
\(985\) | −2.99877e8 | + | 5.19402e8i | −0.313786 | + | 0.543494i | ||||
\(986\) | 1.90322e9i | 1.98545i | ||||||||
\(987\) | 3.53088e8 | + | 2.70710e8i | 0.367224 | + | 0.281548i | ||||
\(988\) | −1.56408e7 | −0.0162176 | ||||||||
\(989\) | 2.85468e7 | + | 1.64815e7i | 0.0295099 | + | 0.0170376i | ||||
\(990\) | −1.05742e9 | − | 2.26520e7i | −1.08979 | − | 0.0233453i | ||||
\(991\) | 5.68360e8 | + | 9.84429e8i | 0.583986 | + | 1.01149i | 0.995001 | + | 0.0998652i | \(0.0318412\pi\) |
−0.411015 | + | 0.911629i | \(0.634826\pi\) | |||||||
\(992\) | 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 | ||||||||
\(996\) | −1.26654e8 | − | 1.29396e8i | −0.128186 | − | 0.130962i | ||||
\(997\) | −2.44548e8 | − | 4.23570e8i | −0.246762 | − | 0.427405i | 0.715863 | − | 0.698240i | \(-0.246033\pi\) |
−0.962626 | + | 0.270836i | \(0.912700\pi\) | |||||||
\(998\) | 9.72450e8 | − | 5.61444e8i | 0.978308 | − | 0.564826i | ||||
\(999\) | 1.46173e9 | − | 3.41749e8i | 1.46613 | − | 0.342776i |
(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.2.11 | yes | 28 | |
3.2 | odd | 2 | inner | 21.7.h.a.2.4 | ✓ | 28 | |
7.2 | even | 3 | 147.7.b.e.50.4 | 14 | |||
7.4 | even | 3 | inner | 21.7.h.a.11.4 | yes | 28 | |
7.5 | odd | 6 | 147.7.b.d.50.4 | 14 | |||
21.2 | odd | 6 | 147.7.b.e.50.11 | 14 | |||
21.5 | even | 6 | 147.7.b.d.50.11 | 14 | |||
21.11 | odd | 6 | inner | 21.7.h.a.11.11 | yes | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.7.h.a.2.4 | ✓ | 28 | 3.2 | odd | 2 | inner | |
21.7.h.a.2.11 | yes | 28 | 1.1 | even | 1 | trivial | |
21.7.h.a.11.4 | yes | 28 | 7.4 | even | 3 | inner | |
21.7.h.a.11.11 | yes | 28 | 21.11 | odd | 6 | inner | |
147.7.b.d.50.4 | 14 | 7.5 | odd | 6 | |||
147.7.b.d.50.11 | 14 | 21.5 | even | 6 | |||
147.7.b.e.50.4 | 14 | 7.2 | even | 3 | |||
147.7.b.e.50.11 | 14 | 21.2 | odd | 6 |