Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,3,Mod(19,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 15]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.i (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.26704608029\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 109.19 | ||
Character | \(\chi\) | \(=\) | 230.109 |
Dual form | 230.3.i.a.19.19 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.28641 | + | 0.587486i | 0.643207 | + | 0.293743i | ||||
\(3\) | 0.00972304 | − | 0.0331137i | 0.00324101 | − | 0.0110379i | −0.957857 | − | 0.287247i | \(-0.907260\pi\) |
0.961098 | + | 0.276209i | \(0.0890782\pi\) | |||||||
\(4\) | 1.30972 | + | 1.51150i | 0.327430 | + | 0.377875i | ||||
\(5\) | 1.88998 | − | 4.62904i | 0.377995 | − | 0.925807i | ||||
\(6\) | 0.0319617 | − | 0.0368857i | 0.00532694 | − | 0.00614762i | ||||
\(7\) | −0.869641 | + | 6.04849i | −0.124234 | + | 0.864070i | 0.828440 | + | 0.560078i | \(0.189229\pi\) |
−0.952675 | + | 0.303992i | \(0.901680\pi\) | |||||||
\(8\) | 0.796860 | + | 2.71386i | 0.0996075 | + | 0.339232i | ||||
\(9\) | 7.57028 | + | 4.86512i | 0.841142 | + | 0.540569i | ||||
\(10\) | 5.15079 | − | 4.84452i | 0.515079 | − | 0.484452i | ||||
\(11\) | −0.789357 | + | 0.360487i | −0.0717597 | + | 0.0327716i | −0.450972 | − | 0.892538i | \(-0.648922\pi\) |
0.379212 | + | 0.925310i | \(0.376195\pi\) | |||||||
\(12\) | 0.0627857 | − | 0.0286733i | 0.00523214 | − | 0.00238944i | ||||
\(13\) | 12.0743 | − | 1.73602i | 0.928790 | − | 0.133540i | 0.338716 | − | 0.940889i | \(-0.390008\pi\) |
0.590074 | + | 0.807349i | \(0.299098\pi\) | |||||||
\(14\) | −4.67212 | + | 7.26996i | −0.333723 | + | 0.519283i | ||||
\(15\) | −0.134908 | − | 0.107592i | −0.00899387 | − | 0.00717282i | ||||
\(16\) | −0.569259 | + | 3.95929i | −0.0355787 | + | 0.247455i | ||||
\(17\) | 19.6346 | − | 22.6595i | 1.15497 | − | 1.33291i | 0.221124 | − | 0.975246i | \(-0.429027\pi\) |
0.933850 | − | 0.357665i | \(-0.116427\pi\) | |||||||
\(18\) | 6.88032 | + | 10.7060i | 0.382240 | + | 0.594777i | ||||
\(19\) | −7.05521 | + | 6.11337i | −0.371327 | + | 0.321756i | −0.820455 | − | 0.571711i | \(-0.806280\pi\) |
0.449129 | + | 0.893467i | \(0.351735\pi\) | |||||||
\(20\) | 9.47213 | − | 3.20605i | 0.473606 | − | 0.160303i | ||||
\(21\) | 0.191832 | + | 0.0876067i | 0.00913485 | + | 0.00417175i | ||||
\(22\) | −1.22722 | −0.0557828 | ||||||||
\(23\) | 20.5841 | + | 10.2614i | 0.894960 | + | 0.446146i | ||||
\(24\) | 0.0976136 | 0.00406723 | ||||||||
\(25\) | −17.8560 | − | 17.4975i | −0.714239 | − | 0.699902i | ||||
\(26\) | 16.5524 | + | 4.86022i | 0.636631 | + | 0.186932i | ||||
\(27\) | 0.469447 | − | 0.406778i | 0.0173869 | − | 0.0150659i | ||||
\(28\) | −10.2813 | + | 6.60737i | −0.367188 | + | 0.235978i | ||||
\(29\) | −13.1874 | + | 15.2191i | −0.454740 | + | 0.524797i | −0.936104 | − | 0.351723i | \(-0.885596\pi\) |
0.481365 | + | 0.876521i | \(0.340141\pi\) | |||||||
\(30\) | −0.110339 | − | 0.217665i | −0.00367795 | − | 0.00725549i | ||||
\(31\) | −43.4091 | + | 12.7460i | −1.40029 | + | 0.411163i | −0.892784 | − | 0.450484i | \(-0.851251\pi\) |
−0.507508 | + | 0.861647i | \(0.669433\pi\) | |||||||
\(32\) | −3.05833 | + | 4.75885i | −0.0955727 | + | 0.148714i | ||||
\(33\) | 0.00426210 | + | 0.0296435i | 0.000129154 | + | 0.000898289i | ||||
\(34\) | 38.5703 | − | 17.6145i | 1.13442 | − | 0.518072i | ||||
\(35\) | 26.3551 | + | 15.4571i | 0.753002 | + | 0.441631i | ||||
\(36\) | 2.56133 | + | 17.8144i | 0.0711480 | + | 0.494845i | ||||
\(37\) | 11.9429 | + | 7.67524i | 0.322781 | + | 0.207439i | 0.691989 | − | 0.721908i | \(-0.256735\pi\) |
−0.369208 | + | 0.929347i | \(0.620371\pi\) | |||||||
\(38\) | −12.6674 | + | 3.71949i | −0.333354 | + | 0.0978814i | ||||
\(39\) | 0.0599128 | − | 0.416703i | 0.00153623 | − | 0.0106847i | ||||
\(40\) | 14.0686 | + | 1.44043i | 0.351715 | + | 0.0360108i | ||||
\(41\) | −45.5878 | + | 29.2975i | −1.11190 | + | 0.714573i | −0.961706 | − | 0.274084i | \(-0.911625\pi\) |
−0.150191 | + | 0.988657i | \(0.547989\pi\) | |||||||
\(42\) | 0.195308 | + | 0.225397i | 0.00465018 | + | 0.00536659i | ||||
\(43\) | −61.6500 | − | 18.1021i | −1.43372 | − | 0.420978i | −0.529597 | − | 0.848250i | \(-0.677657\pi\) |
−0.904123 | + | 0.427271i | \(0.859475\pi\) | |||||||
\(44\) | −1.57871 | − | 0.720974i | −0.0358799 | − | 0.0163858i | ||||
\(45\) | 36.8285 | − | 25.8481i | 0.818411 | − | 0.574403i | ||||
\(46\) | 20.4513 | + | 25.2932i | 0.444592 | + | 0.549852i | ||||
\(47\) | − | 58.7319i | − | 1.24962i | −0.780779 | − | 0.624808i | \(-0.785177\pi\) | ||
0.780779 | − | 0.624808i | \(-0.214823\pi\) | |||||||
\(48\) | 0.125571 | + | 0.0573466i | 0.00261607 | + | 0.00119472i | ||||
\(49\) | 11.1872 | + | 3.28487i | 0.228311 | + | 0.0670382i | ||||
\(50\) | −12.6906 | − | 32.9992i | −0.253812 | − | 0.659984i | ||||
\(51\) | −0.559431 | − | 0.870491i | −0.0109692 | − | 0.0170685i | ||||
\(52\) | 18.4379 | + | 15.9765i | 0.354575 | + | 0.307241i | ||||
\(53\) | 0.467135 | − | 3.24899i | 0.00881386 | − | 0.0613018i | −0.984940 | − | 0.172897i | \(-0.944687\pi\) |
0.993754 | + | 0.111596i | \(0.0355962\pi\) | |||||||
\(54\) | 0.842880 | − | 0.247492i | 0.0156089 | − | 0.00458318i | ||||
\(55\) | 0.176843 | + | 4.33528i | 0.00321532 | + | 0.0788232i | ||||
\(56\) | −17.1077 | + | 2.45972i | −0.305495 | + | 0.0439235i | ||||
\(57\) | 0.133838 | + | 0.293064i | 0.00234803 | + | 0.00514148i | ||||
\(58\) | −25.9055 | + | 11.8307i | −0.446647 | + | 0.203977i | ||||
\(59\) | −15.7619 | − | 109.627i | −0.267151 | − | 1.85808i | −0.475093 | − | 0.879936i | \(-0.657586\pi\) |
0.207942 | − | 0.978141i | \(-0.433323\pi\) | |||||||
\(60\) | −0.0140661 | − | 0.344829i | −0.000234435 | − | 0.00574716i | ||||
\(61\) | −26.5531 | − | 90.4315i | −0.435296 | − | 1.48248i | −0.826900 | − | 0.562349i | \(-0.809898\pi\) |
0.391604 | − | 0.920134i | \(-0.371920\pi\) | |||||||
\(62\) | −63.3301 | − | 9.10550i | −1.02145 | − | 0.146863i | ||||
\(63\) | −36.0101 | + | 41.5578i | −0.571588 | + | 0.659648i | ||||
\(64\) | −6.73003 | + | 4.32513i | −0.105157 | + | 0.0675801i | ||||
\(65\) | 14.7840 | − | 59.1733i | 0.227446 | − | 0.910358i | ||||
\(66\) | −0.0119323 | + | 0.0406378i | −0.000180793 | + | 0.000615724i | ||||
\(67\) | −16.7830 | + | 36.7496i | −0.250493 | + | 0.548502i | −0.992551 | − | 0.121834i | \(-0.961123\pi\) |
0.742058 | + | 0.670336i | \(0.233850\pi\) | |||||||
\(68\) | 59.9656 | 0.881847 | ||||||||
\(69\) | 0.539931 | − | 0.581843i | 0.00782509 | − | 0.00843250i | ||||
\(70\) | 24.8227 | + | 35.3675i | 0.354610 | + | 0.505249i | ||||
\(71\) | −31.2064 | + | 68.3326i | −0.439527 | + | 0.962431i | 0.552157 | + | 0.833740i | \(0.313805\pi\) |
−0.991685 | + | 0.128691i | \(0.958922\pi\) | |||||||
\(72\) | −7.17079 | + | 24.4215i | −0.0995943 | + | 0.339187i | ||||
\(73\) | −66.0949 | + | 57.2715i | −0.905409 | + | 0.784542i | −0.977077 | − | 0.212887i | \(-0.931713\pi\) |
0.0716675 | + | 0.997429i | \(0.477168\pi\) | |||||||
\(74\) | 10.8544 | + | 16.8898i | 0.146681 | + | 0.228241i | ||||
\(75\) | −0.753022 | + | 0.421147i | −0.0100403 | + | 0.00561529i | ||||
\(76\) | −18.4807 | − | 2.65713i | −0.243167 | − | 0.0349622i | ||||
\(77\) | −1.49394 | − | 5.08791i | −0.0194019 | − | 0.0660767i | ||||
\(78\) | 0.321879 | − | 0.500854i | 0.00412666 | − | 0.00642121i | ||||
\(79\) | 66.1445 | − | 9.51014i | 0.837272 | − | 0.120381i | 0.289676 | − | 0.957125i | \(-0.406452\pi\) |
0.547595 | + | 0.836743i | \(0.315543\pi\) | |||||||
\(80\) | 17.2518 | + | 10.1181i | 0.215647 | + | 0.126476i | ||||
\(81\) | 33.6353 | + | 73.6509i | 0.415250 | + | 0.909271i | ||||
\(82\) | −75.8566 | + | 10.9065i | −0.925081 | + | 0.133007i | ||||
\(83\) | 25.0249 | + | 16.0825i | 0.301504 | + | 0.193765i | 0.682642 | − | 0.730753i | \(-0.260831\pi\) |
−0.381137 | + | 0.924519i | \(0.624467\pi\) | |||||||
\(84\) | 0.118829 | + | 0.404694i | 0.00141463 | + | 0.00481779i | ||||
\(85\) | −67.7827 | − | 133.715i | −0.797444 | − | 1.57312i | ||||
\(86\) | −68.6727 | − | 59.5052i | −0.798519 | − | 0.691921i | ||||
\(87\) | 0.375739 | + | 0.584661i | 0.00431884 | + | 0.00672024i | ||||
\(88\) | −1.60732 | − | 1.85494i | −0.0182650 | − | 0.0210789i | ||||
\(89\) | 4.94644 | − | 16.8460i | 0.0555780 | − | 0.189281i | −0.927025 | − | 0.374999i | \(-0.877643\pi\) |
0.982603 | + | 0.185718i | \(0.0594611\pi\) | |||||||
\(90\) | 62.5621 | − | 11.6152i | 0.695134 | − | 0.129058i | ||||
\(91\) | 74.5408i | 0.819129i | ||||||||
\(92\) | 11.4494 | + | 44.5523i | 0.124450 | + | 0.484265i | ||||
\(93\) | 1.56136i | 0.0167888i | ||||||||
\(94\) | 34.5042 | − | 75.5536i | 0.367065 | − | 0.803761i | ||||
\(95\) | 14.9649 | + | 44.2130i | 0.157525 | + | 0.465400i | ||||
\(96\) | 0.127847 | + | 0.147543i | 0.00133174 | + | 0.00153690i | ||||
\(97\) | 112.999 | − | 72.6201i | 1.16494 | − | 0.748661i | 0.192380 | − | 0.981320i | \(-0.438379\pi\) |
0.972558 | + | 0.232660i | \(0.0747429\pi\) | |||||||
\(98\) | 12.4616 | + | 10.7980i | 0.127159 | + | 0.110184i | ||||
\(99\) | −7.72947 | − | 1.11133i | −0.0780754 | − | 0.0112256i | ||||
\(100\) | 3.06117 | − | 49.9062i | 0.0306117 | − | 0.499062i | ||||
\(101\) | −32.5067 | − | 20.8908i | −0.321848 | − | 0.206839i | 0.369733 | − | 0.929138i | \(-0.379449\pi\) |
−0.691581 | + | 0.722299i | \(0.743086\pi\) | |||||||
\(102\) | −0.208258 | − | 1.44847i | −0.00204175 | − | 0.0142007i | ||||
\(103\) | 2.77210 | + | 6.07006i | 0.0269136 | + | 0.0589326i | 0.922611 | − | 0.385731i | \(-0.126051\pi\) |
−0.895698 | + | 0.444663i | \(0.853323\pi\) | |||||||
\(104\) | 14.3328 | + | 31.3845i | 0.137815 | + | 0.301774i | ||||
\(105\) | 0.768093 | − | 0.722422i | 0.00731517 | − | 0.00688021i | ||||
\(106\) | 2.50967 | − | 3.90512i | 0.0236761 | − | 0.0368407i | ||||
\(107\) | −77.3002 | + | 22.6974i | −0.722431 | + | 0.212125i | −0.622221 | − | 0.782841i | \(-0.713770\pi\) |
−0.100210 | + | 0.994966i | \(0.531951\pi\) | |||||||
\(108\) | 1.22969 | + | 0.176803i | 0.0113860 | + | 0.00163706i | ||||
\(109\) | −147.615 | − | 127.909i | −1.35426 | − | 1.17348i | −0.967960 | − | 0.251106i | \(-0.919206\pi\) |
−0.386305 | − | 0.922371i | \(-0.626249\pi\) | |||||||
\(110\) | −2.31942 | + | 5.68085i | −0.0210856 | + | 0.0516441i | ||||
\(111\) | 0.370277 | − | 0.320847i | 0.00333583 | − | 0.00289051i | ||||
\(112\) | −23.4526 | − | 6.88632i | −0.209399 | − | 0.0614850i | ||||
\(113\) | −22.1292 | + | 48.4561i | −0.195833 | + | 0.428815i | −0.981919 | − | 0.189303i | \(-0.939377\pi\) |
0.786086 | + | 0.618118i | \(0.212105\pi\) | |||||||
\(114\) | 0.455630i | 0.00399675i | ||||||||
\(115\) | 86.4037 | − | 75.8908i | 0.751336 | − | 0.659920i | ||||
\(116\) | −40.2756 | −0.347203 | ||||||||
\(117\) | 99.8515 | + | 45.6007i | 0.853432 | + | 0.389749i | ||||
\(118\) | 44.1277 | − | 150.285i | 0.373963 | − | 1.27360i | ||||
\(119\) | 119.981 | + | 138.465i | 1.00824 | + | 1.16357i | ||||
\(120\) | 0.184487 | − | 0.451857i | 0.00153740 | − | 0.00376547i | ||||
\(121\) | −78.7450 | + | 90.8766i | −0.650785 | + | 0.751046i | ||||
\(122\) | 18.9689 | − | 131.932i | 0.155483 | − | 1.08141i | ||||
\(123\) | 0.526895 | + | 1.79444i | 0.00428370 | + | 0.0145889i | ||||
\(124\) | −76.1194 | − | 48.9190i | −0.613866 | − | 0.394508i | ||||
\(125\) | −114.744 | + | 49.5860i | −0.917953 | + | 0.396688i | ||||
\(126\) | −70.7385 | + | 32.3052i | −0.561416 | + | 0.256390i | ||||
\(127\) | 50.9674 | − | 23.2760i | 0.401318 | − | 0.183276i | −0.204522 | − | 0.978862i | \(-0.565564\pi\) |
0.605841 | + | 0.795586i | \(0.292837\pi\) | |||||||
\(128\) | −11.1986 | + | 1.61011i | −0.0874887 | + | 0.0125790i | ||||
\(129\) | −1.19885 | + | 1.86545i | −0.00929342 | + | 0.0144608i | ||||
\(130\) | 53.7818 | − | 67.4359i | 0.413706 | − | 0.518738i | ||||
\(131\) | −24.3466 | + | 169.335i | −0.185852 | + | 1.29263i | 0.656756 | + | 0.754103i | \(0.271928\pi\) |
−0.842608 | + | 0.538527i | \(0.818981\pi\) | |||||||
\(132\) | −0.0392240 | + | 0.0452669i | −0.000297152 | + | 0.000342931i | ||||
\(133\) | −30.8412 | − | 47.9898i | −0.231888 | − | 0.360825i | ||||
\(134\) | −43.1798 | + | 37.4155i | −0.322237 | + | 0.279220i | ||||
\(135\) | −0.995748 | − | 2.94189i | −0.00737591 | − | 0.0217918i | ||||
\(136\) | 77.1406 | + | 35.2289i | 0.567210 | + | 0.259036i | ||||
\(137\) | 22.8318 | 0.166655 | 0.0833276 | − | 0.996522i | \(-0.473445\pi\) | ||||
0.0833276 | + | 0.996522i | \(0.473445\pi\) | |||||||
\(138\) | 1.03640 | − | 0.431289i | 0.00751014 | − | 0.00312528i | ||||
\(139\) | 206.211 | 1.48353 | 0.741767 | − | 0.670658i | \(-0.233988\pi\) | ||||
0.741767 | + | 0.670658i | \(0.233988\pi\) | |||||||
\(140\) | 11.1544 | + | 60.0802i | 0.0796743 | + | 0.429144i | ||||
\(141\) | −1.94483 | − | 0.571053i | −0.0137931 | − | 0.00405002i | ||||
\(142\) | −80.2888 | + | 69.5707i | −0.565414 | + | 0.489934i | ||||
\(143\) | −8.90510 | + | 5.72296i | −0.0622734 | + | 0.0400207i | ||||
\(144\) | −23.5719 | + | 27.2034i | −0.163694 | + | 0.188912i | ||||
\(145\) | 45.5259 | + | 89.8090i | 0.313972 | + | 0.619372i | ||||
\(146\) | −118.672 | + | 34.8451i | −0.812819 | + | 0.238665i | ||||
\(147\) | 0.217548 | − | 0.338511i | 0.00147992 | − | 0.00230280i | ||||
\(148\) | 4.04076 | + | 28.1041i | 0.0273025 | + | 0.189893i | ||||
\(149\) | 122.948 | − | 56.1483i | 0.825153 | − | 0.376835i | 0.0423486 | − | 0.999103i | \(-0.486516\pi\) |
0.782804 | + | 0.622268i | \(0.213789\pi\) | |||||||
\(150\) | −1.21612 | + | 0.0993798i | −0.00810744 | + | 0.000662532i | ||||
\(151\) | 5.15663 | + | 35.8652i | 0.0341499 | + | 0.237518i | 0.999746 | − | 0.0225280i | \(-0.00717149\pi\) |
−0.965596 | + | 0.260046i | \(0.916262\pi\) | |||||||
\(152\) | −22.2128 | − | 14.2753i | −0.146137 | − | 0.0939166i | ||||
\(153\) | 258.880 | − | 76.0141i | 1.69203 | − | 0.496824i | ||||
\(154\) | 1.06724 | − | 7.42283i | 0.00693014 | − | 0.0482002i | ||||
\(155\) | −23.0402 | + | 225.032i | −0.148646 | + | 1.45182i | ||||
\(156\) | 0.708315 | − | 0.455206i | 0.00454048 | − | 0.00291799i | ||||
\(157\) | 15.9489 | + | 18.4060i | 0.101585 | + | 0.117236i | 0.804266 | − | 0.594270i | \(-0.202559\pi\) |
−0.702680 | + | 0.711506i | \(0.748014\pi\) | |||||||
\(158\) | 90.6762 | + | 26.6249i | 0.573900 | + | 0.168512i | ||||
\(159\) | −0.103044 | − | 0.0470587i | −0.000648076 | − | 0.000295966i | ||||
\(160\) | 16.2487 | + | 23.1512i | 0.101555 | + | 0.144695i | ||||
\(161\) | −79.9664 | + | 115.579i | −0.496686 | + | 0.717881i | ||||
\(162\) | 114.506i | 0.706826i | ||||||||
\(163\) | −72.4088 | − | 33.0680i | −0.444226 | − | 0.202871i | 0.180728 | − | 0.983533i | \(-0.442155\pi\) |
−0.624953 | + | 0.780662i | \(0.714882\pi\) | |||||||
\(164\) | −103.990 | − | 30.5343i | −0.634088 | − | 0.186185i | ||||
\(165\) | 0.145276 | + | 0.0362962i | 0.000880462 | + | 0.000219977i | ||||
\(166\) | 22.7441 | + | 35.3905i | 0.137013 | + | 0.213196i | ||||
\(167\) | 20.1775 | + | 17.4839i | 0.120823 | + | 0.104694i | 0.713177 | − | 0.700984i | \(-0.247256\pi\) |
−0.592353 | + | 0.805678i | \(0.701801\pi\) | |||||||
\(168\) | −0.0848888 | + | 0.590414i | −0.000505290 | + | 0.00351437i | ||||
\(169\) | −19.3801 | + | 5.69051i | −0.114675 | + | 0.0336716i | ||||
\(170\) | −8.64104 | − | 211.834i | −0.0508297 | − | 1.24608i | ||||
\(171\) | −83.1522 | + | 11.9555i | −0.486270 | + | 0.0699151i | ||||
\(172\) | −53.3830 | − | 116.893i | −0.310366 | − | 0.679608i | ||||
\(173\) | 101.792 | − | 46.4870i | 0.588395 | − | 0.268711i | −0.0988904 | − | 0.995098i | \(-0.531529\pi\) |
0.687286 | + | 0.726387i | \(0.258802\pi\) | |||||||
\(174\) | 0.139876 | + | 0.972857i | 0.000803883 | + | 0.00559113i | ||||
\(175\) | 121.362 | − | 92.7850i | 0.693497 | − | 0.530200i | ||||
\(176\) | −0.977923 | − | 3.33050i | −0.00555638 | − | 0.0189233i | ||||
\(177\) | −3.78339 | − | 0.543969i | −0.0213751 | − | 0.00307327i | ||||
\(178\) | 16.2600 | − | 18.7650i | 0.0913482 | − | 0.105421i | ||||
\(179\) | −86.6806 | + | 55.7062i | −0.484249 | + | 0.311208i | −0.759889 | − | 0.650053i | \(-0.774747\pi\) |
0.275640 | + | 0.961261i | \(0.411110\pi\) | |||||||
\(180\) | 87.3045 | + | 21.8124i | 0.485025 | + | 0.121180i | ||||
\(181\) | 55.2311 | − | 188.100i | 0.305144 | − | 1.03923i | −0.654044 | − | 0.756457i | \(-0.726929\pi\) |
0.959188 | − | 0.282769i | \(-0.0912530\pi\) | |||||||
\(182\) | −43.7916 | + | 95.8903i | −0.240613 | + | 0.526870i | ||||
\(183\) | −3.25269 | −0.0177743 | ||||||||
\(184\) | −11.4452 | + | 64.0391i | −0.0622022 | + | 0.348039i | ||||
\(185\) | 58.1008 | − | 40.7781i | 0.314058 | − | 0.220422i | ||||
\(186\) | −0.917278 | + | 2.00856i | −0.00493160 | + | 0.0107987i | ||||
\(187\) | −7.33022 | + | 24.9644i | −0.0391990 | + | 0.133500i | ||||
\(188\) | 88.7732 | − | 76.9225i | 0.472198 | − | 0.409162i | ||||
\(189\) | 2.05214 | + | 3.19320i | 0.0108579 | + | 0.0168952i | ||||
\(190\) | −6.72348 | + | 65.6678i | −0.0353867 | + | 0.345620i | ||||
\(191\) | 204.057 | + | 29.3389i | 1.06836 | + | 0.153607i | 0.653991 | − | 0.756502i | \(-0.273093\pi\) |
0.414369 | + | 0.910109i | \(0.364002\pi\) | |||||||
\(192\) | 0.0777844 | + | 0.264909i | 0.000405127 | + | 0.00137974i | ||||
\(193\) | 126.116 | − | 196.241i | 0.653453 | − | 1.01679i | −0.343528 | − | 0.939143i | \(-0.611622\pi\) |
0.996981 | − | 0.0776503i | \(-0.0247418\pi\) | |||||||
\(194\) | 188.027 | − | 27.0342i | 0.969210 | − | 0.139351i | ||||
\(195\) | −1.81570 | − | 1.06490i | −0.00931127 | − | 0.00546101i | ||||
\(196\) | 9.68709 | + | 21.2118i | 0.0494239 | + | 0.108223i | ||||
\(197\) | 244.276 | − | 35.1216i | 1.23998 | − | 0.178282i | 0.509051 | − | 0.860736i | \(-0.329996\pi\) |
0.730928 | + | 0.682454i | \(0.239087\pi\) | |||||||
\(198\) | −9.29040 | − | 5.97058i | −0.0469212 | − | 0.0301544i | ||||
\(199\) | 66.1612 | + | 225.324i | 0.332468 | + | 1.13228i | 0.940902 | + | 0.338678i | \(0.109980\pi\) |
−0.608434 | + | 0.793605i | \(0.708202\pi\) | |||||||
\(200\) | 33.2571 | − | 62.4016i | 0.166286 | − | 0.312008i | ||||
\(201\) | 1.05373 | + | 0.913065i | 0.00524245 | + | 0.00454261i | ||||
\(202\) | −29.5440 | − | 45.9714i | −0.146258 | − | 0.227581i | ||||
\(203\) | −80.5843 | − | 92.9993i | −0.396967 | − | 0.458125i | ||||
\(204\) | 0.583048 | − | 1.98568i | 0.00285808 | − | 0.00973372i | ||||
\(205\) | 49.4593 | + | 266.399i | 0.241265 | + | 1.29951i | ||||
\(206\) | 9.43717i | 0.0458115i | ||||||||
\(207\) | 105.905 | + | 177.825i | 0.511616 | + | 0.859060i | ||||
\(208\) | 48.7937i | 0.234585i | ||||||||
\(209\) | 3.36528 | − | 7.36895i | 0.0161018 | − | 0.0352581i | ||||
\(210\) | 1.41250 | − | 0.478091i | 0.00672618 | − | 0.00227662i | ||||
\(211\) | −57.4827 | − | 66.3385i | −0.272430 | − | 0.314401i | 0.603005 | − | 0.797738i | \(-0.293970\pi\) |
−0.875434 | + | 0.483337i | \(0.839425\pi\) | |||||||
\(212\) | 5.52267 | − | 3.54920i | 0.0260503 | − | 0.0167415i | ||||
\(213\) | 1.95932 | + | 1.69776i | 0.00919868 | + | 0.00797071i | ||||
\(214\) | −112.774 | − | 16.2145i | −0.526983 | − | 0.0757687i | ||||
\(215\) | −200.312 | + | 251.167i | −0.931684 | + | 1.16822i | ||||
\(216\) | 1.47802 | + | 0.949867i | 0.00684269 | + | 0.00439753i | ||||
\(217\) | −39.3440 | − | 273.644i | −0.181309 | − | 1.26103i | ||||
\(218\) | −114.749 | − | 251.265i | −0.526372 | − | 1.15259i | ||||
\(219\) | 1.25383 | + | 2.74550i | 0.00572523 | + | 0.0125365i | ||||
\(220\) | −6.32115 | + | 5.94530i | −0.0287325 | + | 0.0270241i | ||||
\(221\) | 197.736 | − | 307.683i | 0.894731 | − | 1.39223i | ||||
\(222\) | 0.664822 | − | 0.195209i | 0.00299469 | − | 0.000879321i | ||||
\(223\) | −408.838 | − | 58.7820i | −1.83335 | − | 0.263596i | −0.862985 | − | 0.505230i | \(-0.831408\pi\) |
−0.970368 | + | 0.241633i | \(0.922317\pi\) | |||||||
\(224\) | −26.1242 | − | 22.6367i | −0.116626 | − | 0.101057i | ||||
\(225\) | −50.0470 | − | 219.333i | −0.222431 | − | 0.974813i | ||||
\(226\) | −56.9345 | + | 49.3340i | −0.251923 | + | 0.218292i | ||||
\(227\) | 306.892 | + | 90.1115i | 1.35195 | + | 0.396967i | 0.875917 | − | 0.482463i | \(-0.160258\pi\) |
0.476029 | + | 0.879430i | \(0.342076\pi\) | |||||||
\(228\) | −0.267676 | + | 0.586129i | −0.00117402 | + | 0.00257074i | ||||
\(229\) | 52.1414i | 0.227692i | 0.993498 | + | 0.113846i | \(0.0363170\pi\) | ||||
−0.993498 | + | 0.113846i | \(0.963683\pi\) | |||||||
\(230\) | 155.736 | − | 46.8660i | 0.677111 | − | 0.203765i | ||||
\(231\) | −0.183005 | −0.000792229 | ||||||||
\(232\) | −51.8111 | − | 23.6613i | −0.223324 | − | 0.101988i | ||||
\(233\) | −117.127 | + | 398.896i | −0.502689 | + | 1.71200i | 0.182117 | + | 0.983277i | \(0.441705\pi\) |
−0.684807 | + | 0.728725i | \(0.740113\pi\) | |||||||
\(234\) | 101.661 | + | 117.323i | 0.434447 | + | 0.501379i | ||||
\(235\) | −271.872 | − | 111.002i | −1.15690 | − | 0.472349i | ||||
\(236\) | 145.057 | − | 167.404i | 0.614647 | − | 0.709340i | ||||
\(237\) | 0.328210 | − | 2.28275i | 0.00138485 | − | 0.00963186i | ||||
\(238\) | 72.9985 | + | 248.610i | 0.306716 | + | 1.04458i | ||||
\(239\) | −233.886 | − | 150.309i | −0.978602 | − | 0.628910i | −0.0495164 | − | 0.998773i | \(-0.515768\pi\) |
−0.929086 | + | 0.369864i | \(0.879404\pi\) | |||||||
\(240\) | 0.502787 | − | 0.472891i | 0.00209494 | − | 0.00197038i | ||||
\(241\) | −164.597 | + | 75.1689i | −0.682975 | + | 0.311904i | −0.726518 | − | 0.687147i | \(-0.758863\pi\) |
0.0435430 | + | 0.999052i | \(0.486135\pi\) | |||||||
\(242\) | −154.687 | + | 70.6434i | −0.639204 | + | 0.291915i | ||||
\(243\) | 8.29950 | − | 1.19329i | 0.0341543 | − | 0.00491065i | ||||
\(244\) | 101.910 | − | 158.575i | 0.417664 | − | 0.649898i | ||||
\(245\) | 36.3494 | − | 45.5778i | 0.148365 | − | 0.186032i | ||||
\(246\) | −0.376402 | + | 2.61793i | −0.00153009 | + | 0.0106420i | ||||
\(247\) | −74.5736 | + | 86.0625i | −0.301917 | + | 0.348431i | ||||
\(248\) | −69.1819 | − | 107.649i | −0.278959 | − | 0.434069i | ||||
\(249\) | 0.775868 | − | 0.672294i | 0.00311594 | − | 0.00269998i | ||||
\(250\) | −176.740 | − | 3.62241i | −0.706958 | − | 0.0144896i | ||||
\(251\) | 62.6190 | + | 28.5972i | 0.249478 | + | 0.113933i | 0.536230 | − | 0.844072i | \(-0.319848\pi\) |
−0.286751 | + | 0.958005i | \(0.592575\pi\) | |||||||
\(252\) | −109.978 | −0.436420 | ||||||||
\(253\) | −19.9473 | − | 0.679574i | −0.0788430 | − | 0.00268606i | ||||
\(254\) | 79.2395 | 0.311967 | ||||||||
\(255\) | −5.08685 | + | 0.944417i | −0.0199484 | + | 0.00370360i | ||||
\(256\) | −15.3519 | − | 4.50772i | −0.0599683 | − | 0.0176083i | ||||
\(257\) | −318.770 | + | 276.216i | −1.24035 | + | 1.07477i | −0.245930 | + | 0.969288i | \(0.579093\pi\) |
−0.994421 | + | 0.105483i | \(0.966361\pi\) | |||||||
\(258\) | −2.63814 | + | 1.69543i | −0.0102254 | + | 0.00657144i | ||||
\(259\) | −56.8096 | + | 65.5618i | −0.219342 | + | 0.253134i | ||||
\(260\) | 108.803 | − | 55.1545i | 0.418474 | − | 0.212133i | ||||
\(261\) | −173.876 | + | 51.0545i | −0.666190 | + | 0.195611i | ||||
\(262\) | −130.801 | + | 203.531i | −0.499242 | + | 0.776836i | ||||
\(263\) | −12.7624 | − | 88.7647i | −0.0485264 | − | 0.337508i | −0.999593 | − | 0.0285228i | \(-0.990920\pi\) |
0.951067 | − | 0.308985i | \(-0.0999894\pi\) | |||||||
\(264\) | −0.0770520 | + | 0.0351885i | −0.000291863 | + | 0.000133290i | ||||
\(265\) | −14.1568 | − | 8.30291i | −0.0534220 | − | 0.0313317i | ||||
\(266\) | −11.4812 | − | 79.8534i | −0.0431624 | − | 0.300201i | ||||
\(267\) | −0.509739 | − | 0.327590i | −0.00190914 | − | 0.00122693i | ||||
\(268\) | −77.5281 | + | 22.7643i | −0.289284 | + | 0.0849414i | ||||
\(269\) | −49.6147 | + | 345.078i | −0.184441 | + | 1.28282i | 0.661663 | + | 0.749801i | \(0.269851\pi\) |
−0.846105 | + | 0.533017i | \(0.821058\pi\) | |||||||
\(270\) | 0.447375 | − | 4.36948i | 0.00165694 | − | 0.0161833i | ||||
\(271\) | 242.847 | − | 156.068i | 0.896114 | − | 0.575898i | −0.00952138 | − | 0.999955i | \(-0.503031\pi\) |
0.905635 | + | 0.424057i | \(0.139394\pi\) | |||||||
\(272\) | 78.5382 | + | 90.6379i | 0.288743 | + | 0.333228i | ||||
\(273\) | 2.46832 | + | 0.724763i | 0.00904145 | + | 0.00265481i | ||||
\(274\) | 29.3711 | + | 13.4133i | 0.107194 | + | 0.0489538i | ||||
\(275\) | 20.4024 | + | 7.37496i | 0.0741905 | + | 0.0268180i | ||||
\(276\) | 1.58661 | + | 0.0540536i | 0.00574860 | + | 0.000195846i | ||||
\(277\) | − | 279.737i | − | 1.00988i | −0.863154 | − | 0.504941i | \(-0.831514\pi\) | ||
0.863154 | − | 0.504941i | \(-0.168486\pi\) | |||||||
\(278\) | 265.273 | + | 121.146i | 0.954219 | + | 0.435777i | ||||
\(279\) | −390.630 | − | 114.699i | −1.40011 | − | 0.411108i | ||||
\(280\) | −20.9470 | + | 83.8410i | −0.0748109 | + | 0.299432i | ||||
\(281\) | −117.982 | − | 183.583i | −0.419864 | − | 0.653320i | 0.565311 | − | 0.824878i | \(-0.308756\pi\) |
−0.985174 | + | 0.171558i | \(0.945120\pi\) | |||||||
\(282\) | −2.16637 | − | 1.87717i | −0.00768216 | − | 0.00665663i | ||||
\(283\) | 31.4531 | − | 218.761i | 0.111142 | − | 0.773007i | −0.855671 | − | 0.517520i | \(-0.826855\pi\) |
0.966813 | − | 0.255487i | \(-0.0822357\pi\) | |||||||
\(284\) | −144.156 | + | 42.3281i | −0.507593 | + | 0.149043i | ||||
\(285\) | 1.60956 | − | 0.0656563i | 0.00564757 | − | 0.000230373i | ||||
\(286\) | −14.8178 | + | 2.13048i | −0.0518105 | + | 0.00744922i | ||||
\(287\) | −137.560 | − | 301.215i | −0.479305 | − | 1.04953i | ||||
\(288\) | −46.3048 | + | 21.1467i | −0.160780 | + | 0.0734260i | ||||
\(289\) | −86.8075 | − | 603.759i | −0.300372 | − | 2.08913i | ||||
\(290\) | 5.80371 | + | 142.277i | 0.0200128 | + | 0.490612i | ||||
\(291\) | −1.30602 | − | 4.44790i | −0.00448804 | − | 0.0152849i | ||||
\(292\) | −173.132 | − | 24.8926i | −0.592917 | − | 0.0852486i | ||||
\(293\) | −11.8223 | + | 13.6437i | −0.0403491 | + | 0.0465654i | −0.775565 | − | 0.631267i | \(-0.782535\pi\) |
0.735216 | + | 0.677833i | \(0.237081\pi\) | |||||||
\(294\) | 0.478727 | − | 0.307659i | 0.00162832 | − | 0.00104646i | ||||
\(295\) | −537.255 | − | 134.229i | −1.82120 | − | 0.455014i | ||||
\(296\) | −11.3127 | + | 38.5274i | −0.0382185 | + | 0.130160i | ||||
\(297\) | −0.223923 | + | 0.490323i | −0.000753950 | + | 0.00165092i | ||||
\(298\) | 191.148 | 0.641436 | ||||||||
\(299\) | 266.352 | + | 88.1641i | 0.890808 | + | 0.294863i | ||||
\(300\) | −1.62281 | − | 0.586607i | −0.00540938 | − | 0.00195536i | ||||
\(301\) | 163.103 | − | 357.147i | 0.541872 | − | 1.18653i | ||||
\(302\) | −14.4367 | + | 49.1669i | −0.0478036 | + | 0.162804i | ||||
\(303\) | −1.00783 | + | 0.873293i | −0.00332618 | + | 0.00288216i | ||||
\(304\) | −20.1883 | − | 31.4137i | −0.0664090 | − | 0.103334i | ||||
\(305\) | −468.795 | − | 47.9982i | −1.53703 | − | 0.157371i | ||||
\(306\) | 377.684 | + | 54.3028i | 1.23426 | + | 0.177460i | ||||
\(307\) | −85.9053 | − | 292.567i | −0.279822 | − | 0.952986i | −0.972726 | − | 0.231956i | \(-0.925487\pi\) |
0.692904 | − | 0.721030i | \(-0.256331\pi\) | |||||||
\(308\) | 5.73372 | − | 8.92184i | 0.0186160 | − | 0.0289670i | ||||
\(309\) | 0.227955 | − | 0.0327750i | 0.000737718 | − | 0.000106068i | ||||
\(310\) | −161.842 | + | 275.948i | −0.522072 | + | 0.890156i | ||||
\(311\) | 10.0007 | + | 21.8984i | 0.0321565 | + | 0.0704128i | 0.925029 | − | 0.379897i | \(-0.124041\pi\) |
−0.892872 | + | 0.450310i | \(0.851313\pi\) | |||||||
\(312\) | 1.17861 | − | 0.169459i | 0.00377760 | − | 0.000543138i | ||||
\(313\) | 143.810 | + | 92.4212i | 0.459457 | + | 0.295275i | 0.749821 | − | 0.661641i | \(-0.230140\pi\) |
−0.290363 | + | 0.956916i | \(0.593776\pi\) | |||||||
\(314\) | 9.70361 | + | 33.0475i | 0.0309032 | + | 0.105247i | ||||
\(315\) | 124.315 | + | 245.235i | 0.394649 | + | 0.778525i | ||||
\(316\) | 101.005 | + | 87.5217i | 0.319637 | + | 0.276967i | ||||
\(317\) | −64.7724 | − | 100.788i | −0.204329 | − | 0.317943i | 0.723932 | − | 0.689871i | \(-0.242333\pi\) |
−0.928261 | + | 0.371929i | \(0.878697\pi\) | |||||||
\(318\) | −0.104911 | − | 0.121074i | −0.000329909 | − | 0.000380735i | ||||
\(319\) | 4.92330 | − | 16.7672i | 0.0154336 | − | 0.0525618i | ||||
\(320\) | 7.30157 | + | 39.3279i | 0.0228174 | + | 0.122900i | ||||
\(321\) | 2.78038i | 0.00866161i | ||||||||
\(322\) | −170.771 | + | 101.703i | −0.530344 | + | 0.315848i | ||||
\(323\) | 279.901i | 0.866566i | ||||||||
\(324\) | −67.2705 | + | 147.302i | −0.207625 | + | 0.454635i | ||||
\(325\) | −245.974 | − | 180.272i | −0.756843 | − | 0.554682i | ||||
\(326\) | −73.7207 | − | 85.0783i | −0.226137 | − | 0.260976i | ||||
\(327\) | −5.67080 | + | 3.64440i | −0.0173419 | + | 0.0111450i | ||||
\(328\) | −115.836 | − | 100.373i | −0.353159 | − | 0.306014i | ||||
\(329\) | 355.239 | + | 51.0757i | 1.07975 | + | 0.155245i | ||||
\(330\) | 0.165562 | + | 0.132040i | 0.000501703 | + | 0.000400120i | ||||
\(331\) | −140.504 | − | 90.2964i | −0.424483 | − | 0.272799i | 0.310910 | − | 0.950439i | \(-0.399366\pi\) |
−0.735393 | + | 0.677641i | \(0.763003\pi\) | |||||||
\(332\) | 8.46691 | + | 58.8887i | 0.0255027 | + | 0.177376i | ||||
\(333\) | 53.0702 | + | 116.207i | 0.159370 | + | 0.348971i | ||||
\(334\) | 15.6851 | + | 34.3455i | 0.0469613 | + | 0.102831i | ||||
\(335\) | 138.396 | + | 147.145i | 0.413122 | + | 0.439239i | ||||
\(336\) | −0.456062 | + | 0.709646i | −0.00135733 | + | 0.00211204i | ||||
\(337\) | 187.980 | − | 55.1960i | 0.557805 | − | 0.163786i | 0.00933470 | − | 0.999956i | \(-0.497029\pi\) |
0.548470 | + | 0.836170i | \(0.315210\pi\) | |||||||
\(338\) | −28.2739 | − | 4.06517i | −0.0836506 | − | 0.0120271i | ||||
\(339\) | 1.38940 | + | 1.20392i | 0.00409851 | + | 0.00355138i | ||||
\(340\) | 113.334 | − | 277.583i | 0.333334 | − | 0.816420i | ||||
\(341\) | 29.6705 | − | 25.7096i | 0.0870101 | − | 0.0753947i | ||||
\(342\) | −113.992 | − | 33.4710i | −0.333309 | − | 0.0978685i | ||||
\(343\) | −153.982 | + | 337.174i | −0.448928 | + | 0.983016i | ||||
\(344\) | − | 181.734i | − | 0.528296i | ||||||
\(345\) | −1.67291 | − | 3.59903i | −0.00484903 | − | 0.0104320i | ||||
\(346\) | 158.258 | 0.457392 | ||||||||
\(347\) | 437.868 | + | 199.968i | 1.26187 | + | 0.576276i | 0.930177 | − | 0.367112i | \(-0.119653\pi\) |
0.331691 | + | 0.943388i | \(0.392381\pi\) | |||||||
\(348\) | −0.391601 | + | 1.33367i | −0.00112529 | + | 0.00383239i | ||||
\(349\) | −165.998 | − | 191.571i | −0.475638 | − | 0.548915i | 0.466334 | − | 0.884609i | \(-0.345575\pi\) |
−0.941971 | + | 0.335694i | \(0.891029\pi\) | |||||||
\(350\) | 210.632 | − | 48.0616i | 0.601805 | − | 0.137319i | ||||
\(351\) | 4.96206 | − | 5.72652i | 0.0141369 | − | 0.0163149i | ||||
\(352\) | 0.698607 | − | 4.85892i | 0.00198468 | − | 0.0138037i | ||||
\(353\) | −88.2043 | − | 300.396i | −0.249870 | − | 0.850981i | −0.984926 | − | 0.172974i | \(-0.944662\pi\) |
0.735056 | − | 0.678006i | \(-0.237156\pi\) | |||||||
\(354\) | −4.54743 | − | 2.92246i | −0.0128458 | − | 0.00825552i | ||||
\(355\) | 257.335 | + | 273.603i | 0.724886 | + | 0.770712i | ||||
\(356\) | 31.9412 | − | 14.5871i | 0.0897226 | − | 0.0409749i | ||||
\(357\) | 5.75166 | − | 2.62669i | 0.0161111 | − | 0.00735769i | ||||
\(358\) | −144.234 | + | 20.7377i | −0.402887 | + | 0.0579265i | ||||
\(359\) | 208.372 | − | 324.234i | 0.580425 | − | 0.903158i | −0.419565 | − | 0.907725i | \(-0.637817\pi\) |
0.999990 | + | 0.00456690i | \(0.00145370\pi\) | |||||||
\(360\) | 99.4953 | + | 79.3499i | 0.276376 | + | 0.220416i | ||||
\(361\) | −38.9730 | + | 271.063i | −0.107959 | + | 0.750868i | ||||
\(362\) | 181.556 | − | 209.527i | 0.501536 | − | 0.578803i | ||||
\(363\) | 2.24361 | + | 3.49113i | 0.00618076 | + | 0.00961744i | ||||
\(364\) | −112.668 | + | 97.6276i | −0.309528 | + | 0.268208i | ||||
\(365\) | 140.194 | + | 414.198i | 0.384094 | + | 1.13479i | ||||
\(366\) | −4.18431 | − | 1.91091i | −0.0114325 | − | 0.00522107i | ||||
\(367\) | 654.177 | 1.78250 | 0.891249 | − | 0.453514i | \(-0.149830\pi\) | ||||
0.891249 | + | 0.453514i | \(0.149830\pi\) | |||||||
\(368\) | −52.3453 | + | 75.6569i | −0.142243 | + | 0.205589i | ||||
\(369\) | −487.648 | −1.32154 | ||||||||
\(370\) | 98.6982 | − | 18.3242i | 0.266752 | − | 0.0495248i | ||||
\(371\) | 19.2453 | + | 5.65092i | 0.0518740 | + | 0.0152316i | ||||
\(372\) | −2.36000 | + | 2.04495i | −0.00634408 | + | 0.00549718i | ||||
\(373\) | −121.316 | + | 77.9652i | −0.325245 | + | 0.209022i | −0.693065 | − | 0.720875i | \(-0.743740\pi\) |
0.367821 | + | 0.929897i | \(0.380104\pi\) | |||||||
\(374\) | −24.0959 | + | 27.8082i | −0.0644276 | + | 0.0743535i | ||||
\(375\) | 0.526311 | + | 4.28173i | 0.00140350 | + | 0.0114179i | ||||
\(376\) | 159.390 | − | 46.8011i | 0.423910 | − | 0.124471i | ||||
\(377\) | −132.808 | + | 206.653i | −0.352276 | + | 0.548152i | ||||
\(378\) | 0.763948 | + | 5.31338i | 0.00202103 | + | 0.0140566i | ||||
\(379\) | −461.018 | + | 210.540i | −1.21641 | + | 0.555514i | −0.917105 | − | 0.398645i | \(-0.869481\pi\) |
−0.299301 | + | 0.954159i | \(0.596753\pi\) | |||||||
\(380\) | −47.2281 | + | 80.5260i | −0.124284 | + | 0.211911i | ||||
\(381\) | −0.275196 | − | 1.91403i | −0.000722300 | − | 0.00502371i | ||||
\(382\) | 245.265 | + | 157.622i | 0.642056 | + | 0.412624i | ||||
\(383\) | −155.583 | + | 45.6833i | −0.406222 | + | 0.119278i | −0.478459 | − | 0.878110i | \(-0.658804\pi\) |
0.0722369 | + | 0.997388i | \(0.476986\pi\) | |||||||
\(384\) | −0.0555674 | + | 0.386480i | −0.000144707 | + | 0.00100646i | ||||
\(385\) | −26.3756 | − | 2.70050i | −0.0685082 | − | 0.00701430i | ||||
\(386\) | 277.527 | − | 178.356i | 0.718981 | − | 0.462061i | ||||
\(387\) | −378.639 | − | 436.972i | −0.978395 | − | 1.12913i | ||||
\(388\) | 257.762 | + | 75.6859i | 0.664336 | + | 0.195067i | ||||
\(389\) | 449.155 | + | 205.122i | 1.15464 | + | 0.527306i | 0.898344 | − | 0.439292i | \(-0.144771\pi\) |
0.256296 | + | 0.966598i | \(0.417498\pi\) | |||||||
\(390\) | −1.71013 | − | 2.43659i | −0.00438494 | − | 0.00624768i | ||||
\(391\) | 636.676 | − | 264.948i | 1.62833 | − | 0.677615i | ||||
\(392\) | 32.9781i | 0.0841279i | ||||||||
\(393\) | 5.37056 | + | 2.45265i | 0.0136656 | + | 0.00624085i | ||||
\(394\) | 334.873 | + | 98.3277i | 0.849932 | + | 0.249563i | ||||
\(395\) | 80.9887 | − | 324.159i | 0.205035 | − | 0.820656i | ||||
\(396\) | −8.44368 | − | 13.1386i | −0.0213224 | − | 0.0331783i | ||||
\(397\) | 199.715 | + | 173.054i | 0.503061 | + | 0.435905i | 0.869057 | − | 0.494712i | \(-0.164726\pi\) |
−0.365996 | + | 0.930616i | \(0.619272\pi\) | |||||||
\(398\) | −47.2641 | + | 328.729i | −0.118754 | + | 0.825953i | ||||
\(399\) | −1.88899 | + | 0.554656i | −0.00473430 | + | 0.00139012i | ||||
\(400\) | 79.4425 | − | 60.7363i | 0.198606 | − | 0.151841i | ||||
\(401\) | 377.428 | − | 54.2659i | 0.941217 | − | 0.135327i | 0.345408 | − | 0.938453i | \(-0.387741\pi\) |
0.595809 | + | 0.803126i | \(0.296832\pi\) | |||||||
\(402\) | 0.819124 | + | 1.79363i | 0.00203762 | + | 0.00446177i | ||||
\(403\) | −502.005 | + | 229.258i | −1.24567 | + | 0.568879i | ||||
\(404\) | −10.9983 | − | 76.4949i | −0.0272235 | − | 0.189344i | ||||
\(405\) | 404.503 | − | 16.5003i | 0.998772 | − | 0.0407415i | ||||
\(406\) | −49.0291 | − | 166.978i | −0.120761 | − | 0.411275i | ||||
\(407\) | −12.1940 | − | 1.75324i | −0.0299608 | − | 0.00430771i | ||||
\(408\) | 1.91660 | − | 2.21187i | 0.00469755 | − | 0.00542126i | ||||
\(409\) | −558.396 | + | 358.860i | −1.36527 | + | 0.877407i | −0.998598 | − | 0.0529420i | \(-0.983140\pi\) |
−0.366675 | + | 0.930349i | \(0.619504\pi\) | |||||||
\(410\) | −92.8805 | + | 371.756i | −0.226538 | + | 0.906722i | ||||
\(411\) | 0.221994 | − | 0.756043i | 0.000540132 | − | 0.00183952i | ||||
\(412\) | −5.54420 | + | 12.1401i | −0.0134568 | + | 0.0294663i | ||||
\(413\) | 676.782 | 1.63870 | ||||||||
\(414\) | 31.7671 | + | 290.975i | 0.0767322 | + | 0.702837i | ||||
\(415\) | 121.743 | − | 85.4455i | 0.293356 | − | 0.205893i | ||||
\(416\) | −28.6656 | + | 62.7689i | −0.0689077 | + | 0.150887i | ||||
\(417\) | 2.00500 | − | 6.82840i | 0.00480815 | − | 0.0163751i | ||||
\(418\) | 8.65830 | − | 7.50246i | 0.0207136 | − | 0.0179485i | ||||
\(419\) | 94.6408 | + | 147.264i | 0.225873 | + | 0.351465i | 0.935631 | − | 0.352981i | \(-0.114832\pi\) |
−0.709758 | + | 0.704446i | \(0.751196\pi\) | |||||||
\(420\) | 2.09793 | + | 0.214799i | 0.00499507 | + | 0.000511426i | ||||
\(421\) | 267.384 | + | 38.4441i | 0.635118 | + | 0.0913161i | 0.452351 | − | 0.891840i | \(-0.350586\pi\) |
0.182767 | + | 0.983156i | \(0.441495\pi\) | |||||||
\(422\) | −34.9736 | − | 119.109i | −0.0828757 | − | 0.282249i | ||||
\(423\) | 285.738 | − | 444.617i | 0.675504 | − | 1.05110i | ||||
\(424\) | 9.18954 | − | 1.32126i | 0.0216735 | − | 0.00311617i | ||||
\(425\) | −747.080 | + | 61.0506i | −1.75783 | + | 0.143649i | ||||
\(426\) | 1.52309 | + | 3.33509i | 0.00357532 | + | 0.00782886i | ||||
\(427\) | 570.065 | − | 81.9630i | 1.33505 | − | 0.191951i | ||||
\(428\) | −135.549 | − | 87.1119i | −0.316703 | − | 0.203532i | ||||
\(429\) | 0.102923 | + | 0.350525i | 0.000239915 | + | 0.000817074i | ||||
\(430\) | −405.242 | + | 205.425i | −0.942422 | + | 0.477732i | ||||
\(431\) | −100.221 | − | 86.8416i | −0.232530 | − | 0.201489i | 0.530800 | − | 0.847497i | \(-0.321892\pi\) |
−0.763330 | + | 0.646008i | \(0.776437\pi\) | |||||||
\(432\) | 1.34331 | + | 2.09024i | 0.00310953 | + | 0.00483852i | ||||
\(433\) | 149.884 | + | 172.976i | 0.346153 | + | 0.399482i | 0.901953 | − | 0.431834i | \(-0.142133\pi\) |
−0.555800 | + | 0.831316i | \(0.687588\pi\) | |||||||
\(434\) | 110.149 | − | 375.133i | 0.253799 | − | 0.864362i | ||||
\(435\) | 3.41655 | − | 0.634313i | 0.00785415 | − | 0.00145819i | ||||
\(436\) | − | 390.645i | − | 0.895974i | ||||||
\(437\) | −207.957 | + | 53.4422i | −0.475873 | + | 0.122293i | ||||
\(438\) | 4.26845i | 0.00974532i | ||||||||
\(439\) | −200.772 | + | 439.629i | −0.457339 | + | 1.00143i | 0.530747 | + | 0.847530i | \(0.321911\pi\) |
−0.988086 | + | 0.153902i | \(0.950816\pi\) | |||||||
\(440\) | −11.6244 | + | 3.93453i | −0.0264191 | + | 0.00894212i | ||||
\(441\) | 68.7092 | + | 79.2947i | 0.155803 | + | 0.179807i | ||||
\(442\) | 435.129 | − | 279.640i | 0.984455 | − | 0.632671i | ||||
\(443\) | 36.9542 | + | 32.0210i | 0.0834181 | + | 0.0722822i | 0.695572 | − | 0.718457i | \(-0.255151\pi\) |
−0.612154 | + | 0.790739i | \(0.709697\pi\) | |||||||
\(444\) | 0.969919 | + | 0.139453i | 0.00218450 | + | 0.000314084i | ||||
\(445\) | −68.6323 | − | 54.7359i | −0.154230 | − | 0.123002i | ||||
\(446\) | −491.401 | − | 315.804i | −1.10180 | − | 0.708081i | ||||
\(447\) | −0.663850 | − | 4.61718i | −0.00148512 | − | 0.0103293i | ||||
\(448\) | −20.3078 | − | 44.4678i | −0.0453298 | − | 0.0992585i | ||||
\(449\) | 295.991 | + | 648.131i | 0.659224 | + | 1.44350i | 0.883244 | + | 0.468914i | \(0.155355\pi\) |
−0.224020 | + | 0.974585i | \(0.571918\pi\) | |||||||
\(450\) | 64.4737 | − | 311.555i | 0.143275 | − | 0.692344i | ||||
\(451\) | 25.4237 | − | 39.5600i | 0.0563718 | − | 0.0877162i | ||||
\(452\) | −102.224 | + | 30.0158i | −0.226160 | + | 0.0664066i | ||||
\(453\) | 1.23776 | + | 0.177964i | 0.00273237 | + | 0.000392856i | ||||
\(454\) | 341.850 | + | 296.215i | 0.752975 | + | 0.652456i | ||||
\(455\) | 345.052 | + | 140.880i | 0.758356 | + | 0.309627i | ||||
\(456\) | −0.688684 | + | 0.596748i | −0.00151027 | + | 0.00130866i | ||||
\(457\) | −300.101 | − | 88.1175i | −0.656675 | − | 0.192817i | −0.0636139 | − | 0.997975i | \(-0.520263\pi\) |
−0.593061 | + | 0.805157i | \(0.702081\pi\) | |||||||
\(458\) | −30.6323 | + | 67.0755i | −0.0668829 | + | 0.146453i | ||||
\(459\) | − | 18.6244i | − | 0.0405759i | ||||||
\(460\) | 227.874 | + | 31.2033i | 0.495377 | + | 0.0678332i | ||||
\(461\) | 399.052 | 0.865623 | 0.432811 | − | 0.901485i | \(-0.357522\pi\) | ||||
0.432811 | + | 0.901485i | \(0.357522\pi\) | |||||||
\(462\) | −0.235420 | − | 0.107513i | −0.000509567 | − | 0.000232712i | ||||
\(463\) | 149.008 | − | 507.475i | 0.321831 | − | 1.09606i | −0.626670 | − | 0.779285i | \(-0.715583\pi\) |
0.948502 | − | 0.316773i | \(-0.102599\pi\) | |||||||
\(464\) | −52.7498 | − | 60.8765i | −0.113685 | − | 0.131199i | ||||
\(465\) | 7.22761 | + | 2.95094i | 0.0155432 | + | 0.00634611i | ||||
\(466\) | −385.019 | + | 444.336i | −0.826221 | + | 0.953510i | ||||
\(467\) | −22.1729 | + | 154.216i | −0.0474795 | + | 0.330227i | 0.952213 | + | 0.305435i | \(0.0988017\pi\) |
−0.999693 | + | 0.0247929i | \(0.992107\pi\) | |||||||
\(468\) | 61.8523 | + | 210.650i | 0.132163 | + | 0.450106i | ||||
\(469\) | −207.685 | − | 133.471i | −0.442824 | − | 0.284586i | ||||
\(470\) | −284.528 | − | 302.516i | −0.605379 | − | 0.643650i | ||||
\(471\) | 0.764561 | − | 0.349163i | 0.00162327 | − | 0.000741324i | ||||
\(472\) | 284.951 | − | 130.133i | 0.603709 | − | 0.275705i | ||||
\(473\) | 55.1894 | − | 7.93504i | 0.116679 | − | 0.0167760i | ||||
\(474\) | 1.76330 | − | 2.74375i | 0.00372004 | − | 0.00578849i | ||||
\(475\) | 232.947 | + | 14.2886i | 0.490414 | + | 0.0300813i | ||||
\(476\) | −52.1485 | + | 362.701i | −0.109556 | + | 0.761977i | ||||
\(477\) | 19.3431 | − | 22.3231i | 0.0405516 | − | 0.0467990i | ||||
\(478\) | −212.570 | − | 330.765i | −0.444706 | − | 0.691976i | ||||
\(479\) | 307.106 | − | 266.109i | 0.641140 | − | 0.555551i | −0.272459 | − | 0.962167i | \(-0.587837\pi\) |
0.913599 | + | 0.406616i | \(0.133291\pi\) | |||||||
\(480\) | 0.924608 | − | 0.312954i | 0.00192627 | − | 0.000651988i | ||||
\(481\) | 157.526 | + | 71.9398i | 0.327497 | + | 0.149563i | ||||
\(482\) | −255.901 | −0.530914 | ||||||||
\(483\) | 3.04972 | + | 3.77176i | 0.00631412 | + | 0.00780903i | ||||
\(484\) | −240.494 | −0.496888 | ||||||||
\(485\) | −122.595 | − | 660.327i | −0.252774 | − | 1.36150i | ||||
\(486\) | 11.3776 | + | 3.34077i | 0.0234108 | + | 0.00687402i | ||||
\(487\) | 30.3963 | − | 26.3385i | 0.0624153 | − | 0.0540832i | −0.623095 | − | 0.782147i | \(-0.714125\pi\) |
0.685510 | + | 0.728063i | \(0.259579\pi\) | |||||||
\(488\) | 224.259 | − | 144.122i | 0.459547 | − | 0.295333i | ||||
\(489\) | −1.79904 | + | 2.07620i | −0.00367901 | + | 0.00424581i | ||||
\(490\) | 73.5367 | − | 37.2772i | 0.150075 | − | 0.0760759i | ||||
\(491\) | −212.265 | + | 62.3267i | −0.432312 | + | 0.126938i | −0.490646 | − | 0.871359i | \(-0.663239\pi\) |
0.0583344 | + | 0.998297i | \(0.481421\pi\) | |||||||
\(492\) | −2.02221 | + | 3.14662i | −0.00411018 | + | 0.00639556i | ||||
\(493\) | 85.9279 | + | 597.642i | 0.174296 | + | 1.21225i | ||||
\(494\) | −146.493 | + | 66.9011i | −0.296544 | + | 0.135427i | ||||
\(495\) | −19.7529 | + | 33.6796i | −0.0399049 | + | 0.0680396i | ||||
\(496\) | −25.7542 | − | 179.125i | −0.0519239 | − | 0.361138i | ||||
\(497\) | −386.170 | − | 248.177i | −0.777003 | − | 0.499349i | ||||
\(498\) | 1.39305 | − | 0.409037i | 0.00279729 | − | 0.000821359i | ||||
\(499\) | 26.2310 | − | 182.441i | 0.0525671 | − | 0.365612i | −0.946511 | − | 0.322673i | \(-0.895419\pi\) |
0.999078 | − | 0.0429395i | \(-0.0136723\pi\) | |||||||
\(500\) | −225.232 | − | 108.492i | −0.450464 | − | 0.216984i | ||||
\(501\) | 0.775143 | − | 0.498154i | 0.00154719 | − | 0.000994320i | ||||
\(502\) | 63.7536 | + | 73.5756i | 0.126999 | + | 0.146565i | ||||
\(503\) | −312.774 | − | 91.8387i | −0.621817 | − | 0.182582i | −0.0443766 | − | 0.999015i | \(-0.514130\pi\) |
−0.577440 | + | 0.816433i | \(0.695948\pi\) | |||||||
\(504\) | −141.477 | − | 64.6103i | −0.280708 | − | 0.128195i | ||||
\(505\) | −158.141 | + | 110.992i | −0.313151 | + | 0.219785i | ||||
\(506\) | −25.2612 | − | 12.5930i | −0.0499234 | − | 0.0248873i | ||||
\(507\) | 0.697075i | 0.00137490i | ||||||||
\(508\) | 101.935 | + | 46.5521i | 0.200659 | + | 0.0916380i | ||||
\(509\) | 216.556 | + | 63.5867i | 0.425455 | + | 0.124925i | 0.487448 | − | 0.873152i | \(-0.337928\pi\) |
−0.0619938 | + | 0.998077i | \(0.519746\pi\) | |||||||
\(510\) | −7.09862 | − | 1.77354i | −0.0139189 | − | 0.00347752i | ||||
\(511\) | −288.927 | − | 449.580i | −0.565415 | − | 0.879804i | ||||
\(512\) | −17.1007 | − | 14.8178i | −0.0333997 | − | 0.0289410i | ||||
\(513\) | −0.825261 | + | 5.73981i | −0.00160870 | + | 0.0111887i | ||||
\(514\) | −572.343 | + | 168.055i | −1.11351 | + | 0.326956i | ||||
\(515\) | 33.3377 | − | 1.35990i | 0.0647335 | − | 0.00264058i | ||||
\(516\) | −4.38978 | + | 0.631156i | −0.00850733 | + | 0.00122317i | ||||
\(517\) | 21.1721 | + | 46.3605i | 0.0409519 | + | 0.0896721i | ||||
\(518\) | −111.597 | + | 50.9648i | −0.215439 | + | 0.0983876i | ||||
\(519\) | −0.549623 | − | 3.82271i | −0.00105900 | − | 0.00736554i | ||||
\(520\) | 172.369 | − | 7.03118i | 0.331478 | − | 0.0135215i | ||||
\(521\) | 108.427 | + | 369.269i | 0.208114 | + | 0.708770i | 0.995706 | + | 0.0925734i | \(0.0295093\pi\) |
−0.787592 | + | 0.616197i | \(0.788673\pi\) | |||||||
\(522\) | −253.670 | − | 36.4722i | −0.485957 | − | 0.0698701i | ||||
\(523\) | 115.107 | − | 132.841i | 0.220091 | − | 0.253998i | −0.634957 | − | 0.772547i | \(-0.718982\pi\) |
0.855048 | + | 0.518549i | \(0.173528\pi\) | |||||||
\(524\) | −287.836 | + | 184.981i | −0.549306 | + | 0.353018i | ||||
\(525\) | −1.89244 | − | 4.92089i | −0.00360465 | − | 0.00937313i | ||||
\(526\) | 35.7302 | − | 121.686i | 0.0679281 | − | 0.231342i | ||||
\(527\) | −563.499 | + | 1233.89i | −1.06926 | + | 2.34135i | ||||
\(528\) | −0.119793 | −0.000226881 | ||||||||
\(529\) | 318.409 | + | 422.441i | 0.601908 | + | 0.798566i | ||||
\(530\) | −13.3337 | − | 18.9979i | −0.0251580 | − | 0.0358451i | ||||
\(531\) | 414.024 | − | 906.587i | 0.779707 | − | 1.70732i | ||||
\(532\) | 32.1432 | − | 109.470i | 0.0604195 | − | 0.205770i | ||||
\(533\) | −499.578 | + | 432.887i | −0.937295 | + | 0.812171i | ||||
\(534\) | −0.463282 | − | 0.720880i | −0.000867569 | − | 0.00134996i | ||||
\(535\) | −41.0285 | + | 400.723i | −0.0766888 | + | 0.749015i | ||||
\(536\) | −113.107 | − | 16.2623i | −0.211020 | − | 0.0303402i | ||||
\(537\) | 1.00184 | + | 3.41194i | 0.00186562 | + | 0.00635371i | ||||
\(538\) | −266.553 | + | 414.765i | −0.495453 | + | 0.770939i | ||||
\(539\) | −10.0149 | + | 1.43992i | −0.0185805 | + | 0.00267147i | ||||
\(540\) | 3.14251 | − | 5.35813i | 0.00581947 | − | 0.00992246i | ||||
\(541\) | 89.9297 | + | 196.919i | 0.166229 | + | 0.363990i | 0.974354 | − | 0.225021i | \(-0.0722449\pi\) |
−0.808125 | + | 0.589010i | \(0.799518\pi\) | |||||||
\(542\) | 404.089 | − | 58.0993i | 0.745553 | − | 0.107194i | ||||
\(543\) | −5.69166 | − | 3.65781i | −0.0104819 | − | 0.00673629i | ||||
\(544\) | 47.7842 | + | 162.738i | 0.0878386 | + | 0.299151i | ||||
\(545\) | −871.084 | + | 441.570i | −1.59832 | + | 0.810219i | ||||
\(546\) | 2.74949 | + | 2.38245i | 0.00503569 | + | 0.00436345i | ||||
\(547\) | 90.9899 | + | 141.583i | 0.166344 | + | 0.258836i | 0.914411 | − | 0.404787i | \(-0.132654\pi\) |
−0.748067 | + | 0.663623i | \(0.769018\pi\) | |||||||
\(548\) | 29.9032 | + | 34.5102i | 0.0545680 | + | 0.0629748i | ||||
\(549\) | 238.946 | − | 813.776i | 0.435239 | − | 1.48229i | ||||
\(550\) | 21.9132 | + | 21.4734i | 0.0398422 | + | 0.0390425i | ||||
\(551\) | − | 187.994i | − | 0.341187i | ||||||
\(552\) | 2.00929 | + | 1.00165i | 0.00364001 | + | 0.00181458i | ||||
\(553\) | 408.344i | 0.738416i | ||||||||
\(554\) | 164.342 | − | 359.858i | 0.296646 | − | 0.649563i | ||||
\(555\) | −0.785396 | − | 2.32042i | −0.00141513 | − | 0.00418093i | ||||
\(556\) | 270.079 | + | 311.688i | 0.485754 | + | 0.560590i | ||||
\(557\) | −299.455 | + | 192.448i | −0.537621 | + | 0.345508i | −0.781108 | − | 0.624396i | \(-0.785345\pi\) |
0.243487 | + | 0.969904i | \(0.421709\pi\) | |||||||
\(558\) | −435.127 | − | 377.040i | −0.779798 | − | 0.675699i | ||||
\(559\) | −775.804 | − | 111.544i | −1.38784 | − | 0.199542i | ||||
\(560\) | −76.2019 | + | 95.5482i | −0.136075 | + | 0.170622i | ||||
\(561\) | 0.755391 | + | 0.485461i | 0.00134651 | + | 0.000865349i | ||||
\(562\) | −43.9209 | − | 305.476i | −0.0781510 | − | 0.543552i | ||||
\(563\) | −393.910 | − | 862.542i | −0.699662 | − | 1.53205i | −0.840381 | − | 0.541997i | \(-0.817669\pi\) |
0.140719 | − | 0.990050i | \(-0.455059\pi\) | |||||||
\(564\) | −1.68404 | − | 3.68753i | −0.00298588 | − | 0.00653817i | ||||
\(565\) | 182.481 | + | 194.018i | 0.322976 | + | 0.343394i | ||||
\(566\) | 168.981 | − | 262.939i | 0.298552 | − | 0.464557i | ||||
\(567\) | −474.727 | + | 139.393i | −0.837262 | + | 0.245842i | ||||
\(568\) | −210.312 | − | 30.2383i | −0.370268 | − | 0.0532364i | ||||
\(569\) | −100.516 | − | 87.0973i | −0.176653 | − | 0.153071i | 0.562046 | − | 0.827106i | \(-0.310014\pi\) |
−0.738700 | + | 0.674035i | \(0.764560\pi\) | |||||||
\(570\) | 2.10913 | + | 0.861130i | 0.00370022 | + | 0.00151075i | ||||
\(571\) | −648.995 | + | 562.357i | −1.13659 | + | 0.984864i | −0.999983 | − | 0.00576109i | \(-0.998166\pi\) |
−0.136610 | + | 0.990625i | \(0.543621\pi\) | |||||||
\(572\) | −20.3134 | − | 5.96456i | −0.0355130 | − | 0.0104276i | ||||
\(573\) | 2.95557 | − | 6.47180i | 0.00515807 | − | 0.0112946i | ||||
\(574\) | − | 468.302i | − | 0.815858i | ||||||
\(575\) | −188.000 | − | 543.398i | −0.326957 | − | 0.945039i | ||||
\(576\) | −71.9905 | −0.124983 | ||||||||
\(577\) | −365.105 | − | 166.738i | −0.632764 | − | 0.288974i | 0.0730959 | − | 0.997325i | \(-0.476712\pi\) |
−0.705860 | + | 0.708351i | \(0.749439\pi\) | |||||||
\(578\) | 243.030 | − | 827.683i | 0.420466 | − | 1.43198i | ||||
\(579\) | −5.27202 | − | 6.08424i | −0.00910539 | − | 0.0105082i | ||||
\(580\) | −76.1199 | + | 186.437i | −0.131241 | + | 0.321443i | ||||
\(581\) | −119.037 | + | 137.377i | −0.204884 | + | 0.236448i | ||||
\(582\) | 0.932993 | − | 6.48911i | 0.00160308 | − | 0.0111497i | ||||
\(583\) | 0.802485 | + | 2.73301i | 0.00137647 | + | 0.00468784i | ||||
\(584\) | −208.095 | − | 133.735i | −0.356327 | − | 0.228998i | ||||
\(585\) | 399.804 | − | 376.032i | 0.683426 | − | 0.642790i | ||||
\(586\) | −23.2238 | + | 10.6060i | −0.0396311 | + | 0.0180989i | ||||
\(587\) | −175.362 | + | 80.0852i | −0.298743 | + | 0.136431i | −0.559147 | − | 0.829068i | \(-0.688871\pi\) |
0.260404 | + | 0.965500i | \(0.416144\pi\) | |||||||
\(588\) | 0.796587 | − | 0.114532i | 0.00135474 | − | 0.000194782i | ||||
\(589\) | 228.339 | − | 355.302i | 0.387672 | − | 0.603229i | ||||
\(590\) | −612.275 | − | 488.304i | −1.03775 | − | 0.827633i | ||||
\(591\) | 1.21210 | − | 8.43036i | 0.00205093 | − | 0.0142646i | ||||
\(592\) | −37.1871 | + | 42.9162i | −0.0628160 | + | 0.0724936i | ||||
\(593\) | 504.014 | + | 784.260i | 0.849938 | + | 1.32253i | 0.945004 | + | 0.327059i | \(0.106058\pi\) |
−0.0950654 | + | 0.995471i | \(0.530306\pi\) | |||||||
\(594\) | −0.576116 | + | 0.499207i | −0.000969892 | + | 0.000840416i | ||||
\(595\) | 867.720 | − | 293.699i | 1.45835 | − | 0.493612i | ||||
\(596\) | 245.895 | + | 112.297i | 0.412576 | + | 0.188417i | ||||
\(597\) | 8.10460 | 0.0135755 | ||||||||
\(598\) | 290.843 | + | 269.893i | 0.486360 | + | 0.451326i | ||||
\(599\) | 583.085 | 0.973431 | 0.486716 | − | 0.873560i | \(-0.338195\pi\) | ||||
0.486716 | + | 0.873560i | \(0.338195\pi\) | |||||||
\(600\) | −1.74299 | − | 1.70800i | −0.00290498 | − | 0.00284666i | ||||
\(601\) | −294.726 | − | 86.5394i | −0.490393 | − | 0.143992i | 0.0271817 | − | 0.999631i | \(-0.491347\pi\) |
−0.517574 | + | 0.855638i | \(0.673165\pi\) | |||||||
\(602\) | 419.637 | − | 363.618i | 0.697071 | − | 0.604016i | ||||
\(603\) | −305.844 | + | 196.554i | −0.507203 | + | 0.325960i | ||||
\(604\) | −47.4564 | + | 54.7676i | −0.0785702 | + | 0.0906748i | ||||
\(605\) | 271.845 | + | 536.268i | 0.449330 | + | 0.886394i | ||||
\(606\) | −1.80954 | + | 0.531328i | −0.00298604 | + | 0.000876780i | ||||
\(607\) | 587.064 | − | 913.489i | 0.967157 | − | 1.50492i | 0.107403 | − | 0.994216i | \(-0.465746\pi\) |
0.859753 | − | 0.510709i | \(-0.170617\pi\) | |||||||
\(608\) | −7.51549 | − | 52.2714i | −0.0123610 | − | 0.0859726i | ||||
\(609\) | −3.86307 | + | 1.76421i | −0.00634330 | + | 0.00289689i | ||||
\(610\) | −574.867 | − | 337.156i | −0.942404 | − | 0.552715i | ||||
\(611\) | −101.960 | − | 709.145i | −0.166873 | − | 1.16063i | ||||
\(612\) | 453.956 | + | 291.740i | 0.741759 | + | 0.476699i | ||||
\(613\) | 570.361 | − | 167.473i | 0.930441 | − | 0.273202i | 0.218820 | − | 0.975765i | \(-0.429779\pi\) |
0.711622 | + | 0.702563i | \(0.247961\pi\) | |||||||
\(614\) | 61.3689 | − | 426.830i | 0.0999493 | − | 0.695163i | ||||
\(615\) | 9.30234 | + | 0.952432i | 0.0151258 | + | 0.00154867i | ||||
\(616\) | 12.6174 | − | 8.10870i | 0.0204828 | − | 0.0131635i | ||||
\(617\) | −423.170 | − | 488.364i | −0.685851 | − | 0.791514i | 0.300918 | − | 0.953650i | \(-0.402707\pi\) |
−0.986768 | + | 0.162136i | \(0.948162\pi\) | |||||||
\(618\) | 0.312499 | + | 0.0917581i | 0.000505662 | + | 0.000148476i | ||||
\(619\) | 938.360 | + | 428.534i | 1.51593 | + | 0.692301i | 0.987636 | − | 0.156762i | \(-0.0501055\pi\) |
0.528292 | + | 0.849063i | \(0.322833\pi\) | |||||||
\(620\) | −370.312 | + | 259.904i | −0.597277 | + | 0.419200i | ||||
\(621\) | 13.8372 | − | 3.55600i | 0.0222822 | − | 0.00572624i | ||||
\(622\) | 34.0456i | 0.0547357i | ||||||||
\(623\) | 97.5914 | + | 44.5685i | 0.156648 | + | 0.0715385i | ||||
\(624\) | 1.61574 | + | 0.474424i | 0.00258932 | + | 0.000760294i | ||||
\(625\) | 12.6717 | + | 624.872i | 0.0202747 | + | 0.999794i | ||||
\(626\) | 130.703 | + | 203.378i | 0.208791 | + | 0.324885i | ||||
\(627\) | −0.211292 | − | 0.183085i | −0.000336989 | − | 0.000292002i | ||||
\(628\) | −6.93205 | + | 48.2135i | −0.0110383 | + | 0.0767730i | ||||
\(629\) | 408.411 | − | 119.920i | 0.649302 | − | 0.190652i | ||||
\(630\) | 15.8478 | + | 388.507i | 0.0251552 | + | 0.616678i | ||||
\(631\) | −647.807 | + | 93.1406i | −1.02664 | + | 0.147608i | −0.635000 | − | 0.772512i | \(-0.719000\pi\) |
−0.391636 | + | 0.920120i | \(0.628091\pi\) | |||||||
\(632\) | 78.5170 | + | 171.928i | 0.124236 | + | 0.272038i | ||||
\(633\) | −2.75562 | + | 1.25845i | −0.00435327 | + | 0.00198807i | ||||
\(634\) | −24.1127 | − | 167.708i | −0.0380327 | − | 0.264523i | ||||
\(635\) | −11.4184 | − | 279.921i | −0.0179818 | − | 0.440821i | ||||
\(636\) | −0.0638299 | − | 0.217385i | −0.000100362 | − | 0.000341800i | ||||
\(637\) | 140.780 | + | 20.2412i | 0.221005 | + | 0.0317758i | ||||
\(638\) | 16.1839 | − | 18.6772i | 0.0253666 | − | 0.0292747i | ||||
\(639\) | −568.688 | + | 365.474i | −0.889966 | + | 0.571946i | ||||
\(640\) | −13.7117 | + | 54.8816i | −0.0214246 | + | 0.0857525i | ||||
\(641\) | −26.0047 | + | 88.5640i | −0.0405690 | + | 0.138165i | −0.977287 | − | 0.211919i | \(-0.932029\pi\) |
0.936718 | + | 0.350084i | \(0.113847\pi\) | |||||||
\(642\) | −1.63343 | + | 3.57672i | −0.00254429 | + | 0.00557121i | ||||
\(643\) | −415.065 | −0.645513 | −0.322757 | − | 0.946482i | \(-0.604610\pi\) | ||||
−0.322757 | + | 0.946482i | \(0.604610\pi\) | |||||||
\(644\) | −279.431 | + | 30.5069i | −0.433899 | + | 0.0473710i | ||||
\(645\) | 6.36943 | + | 9.07518i | 0.00987508 | + | 0.0140700i | ||||
\(646\) | −164.438 | + | 360.068i | −0.254547 | + | 0.557381i | ||||
\(647\) | −95.8985 | + | 326.600i | −0.148220 | + | 0.504792i | −0.999812 | − | 0.0194146i | \(-0.993820\pi\) |
0.851591 | + | 0.524206i | \(0.175638\pi\) | |||||||
\(648\) | −173.075 | + | 149.971i | −0.267092 | + | 0.231436i | ||||
\(649\) | 51.9607 | + | 80.8525i | 0.0800628 | + | 0.124580i | ||||
\(650\) | −210.517 | − | 376.410i | −0.323873 | − | 0.579093i | ||||
\(651\) | −9.44388 | − | 1.35783i | −0.0145067 | − | 0.00208575i | ||||
\(652\) | −44.8531 | − | 152.756i | −0.0687931 | − | 0.234288i | ||||
\(653\) | 680.604 | − | 1059.04i | 1.04227 | − | 1.62181i | 0.297211 | − | 0.954812i | \(-0.403943\pi\) |
0.745061 | − | 0.666996i | \(-0.232420\pi\) | |||||||
\(654\) | −9.43603 | + | 1.35670i | −0.0144282 | + | 0.00207446i | ||||
\(655\) | 737.842 | + | 432.740i | 1.12648 | + | 0.660672i | ||||
\(656\) | −90.0459 | − | 197.173i | −0.137265 | − | 0.300568i | ||||
\(657\) | −778.990 | + | 112.002i | −1.18568 | + | 0.170475i | ||||
\(658\) | 426.978 | + | 274.402i | 0.648903 | + | 0.417025i | ||||
\(659\) | −359.332 | − | 1223.77i | −0.545268 | − | 1.85701i | −0.514508 | − | 0.857485i | \(-0.672026\pi\) |
−0.0307598 | − | 0.999527i | \(-0.509793\pi\) | |||||||
\(660\) | 0.135410 | + | 0.267123i | 0.000205166 | + | 0.000404732i | ||||
\(661\) | 288.576 | + | 250.052i | 0.436574 | + | 0.378294i | 0.845237 | − | 0.534392i | \(-0.179459\pi\) |
−0.408663 | + | 0.912686i | \(0.634005\pi\) | |||||||
\(662\) | −127.698 | − | 198.703i | −0.192898 | − | 0.300155i | ||||
\(663\) | −8.26590 | − | 9.53936i | −0.0124674 | − | 0.0143882i | ||||
\(664\) | −23.7043 | + | 80.7294i | −0.0356992 | + | 0.121580i | ||||
\(665\) | −280.436 | + | 52.0653i | −0.421708 | + | 0.0782937i | ||||
\(666\) | 180.669i | 0.271275i | ||||||||
\(667\) | −427.620 | + | 177.951i | −0.641110 | + | 0.266793i | ||||
\(668\) | 53.3973i | 0.0799361i | ||||||||
\(669\) | −5.92163 | + | 12.9666i | −0.00885147 | + | 0.0193820i | ||||
\(670\) | 91.5889 | + | 270.595i | 0.136700 | + | 0.403873i | ||||
\(671\) | 53.5592 | + | 61.8107i | 0.0798200 | + | 0.0921172i | ||||
\(672\) | −1.00359 | + | 0.644969i | −0.00149344 | + | 0.000959776i | ||||
\(673\) | −67.3740 | − | 58.3799i | −0.100110 | − | 0.0867457i | 0.603368 | − | 0.797463i | \(-0.293825\pi\) |
−0.703478 | + | 0.710717i | \(0.748371\pi\) | |||||||
\(674\) | 274.247 | + | 39.4308i | 0.406895 | + | 0.0585027i | ||||
\(675\) | −15.5001 | − | 0.950752i | −0.0229631 | − | 0.00140852i | ||||
\(676\) | −33.9837 | − | 21.8400i | −0.0502718 | − | 0.0323077i | ||||
\(677\) | 38.5826 | + | 268.348i | 0.0569906 | + | 0.396378i | 0.998272 | + | 0.0587561i | \(0.0187134\pi\) |
−0.941282 | + | 0.337622i | \(0.890377\pi\) | |||||||
\(678\) | 1.08005 | + | 2.36499i | 0.00159300 | + | 0.00348818i | ||||
\(679\) | 340.973 | + | 746.627i | 0.502169 | + | 1.09960i | ||||
\(680\) | 308.870 | − | 290.505i | 0.454220 | − | 0.427213i | ||||
\(681\) | 5.96784 | − | 9.28614i | 0.00876335 | − | 0.0136360i | ||||
\(682\) | 53.2725 | − | 15.6422i | 0.0781122 | − | 0.0229358i | ||||
\(683\) | 440.111 | + | 63.2785i | 0.644380 | + | 0.0926478i | 0.456754 | − | 0.889593i | \(-0.349012\pi\) |
0.187625 | + | 0.982241i | \(0.439921\pi\) | |||||||
\(684\) | −126.977 | − | 110.026i | −0.185639 | − | 0.160857i | ||||
\(685\) | 43.1515 | − | 105.689i | 0.0629949 | − | 0.154291i | ||||
\(686\) | −396.170 | + | 343.283i | −0.577508 | + | 0.500413i | ||||
\(687\) | 1.72659 | + | 0.506974i | 0.00251324 | + | 0.000737953i | ||||
\(688\) | 106.766 | − | 233.785i | 0.155183 | − | 0.339804i | ||||
\(689\) | − | 40.0402i | − | 0.0581135i | ||||||
\(690\) | −0.0376817 | − | 5.61265i | −5.46112e−5 | − | 0.00813428i | ||||
\(691\) | 787.585 | 1.13978 | 0.569888 | − | 0.821722i | \(-0.306987\pi\) | ||||
0.569888 | + | 0.821722i | \(0.306987\pi\) | |||||||
\(692\) | 203.585 | + | 92.9741i | 0.294198 | + | 0.134356i | ||||
\(693\) | 13.4437 | − | 45.7851i | 0.0193993 | − | 0.0660680i | ||||
\(694\) | 445.802 | + | 514.483i | 0.642365 | + | 0.741329i | ||||
\(695\) | 389.734 | − | 954.559i | 0.560769 | − | 1.37347i | ||||
\(696\) | −1.28727 | + | 1.48559i | −0.00184953 | + | 0.00213447i | ||||
\(697\) | −231.230 | + | 1608.24i | −0.331750 | + | 2.30737i | ||||
\(698\) | −100.996 | − | 343.961i | −0.144694 | − | 0.492781i | ||||
\(699\) | 12.0701 | + | 7.75698i | 0.0172677 | + | 0.0110972i | ||||
\(700\) | 299.195 | + | 61.9160i | 0.427421 | + | 0.0884514i | ||||
\(701\) | −957.196 | + | 437.137i | −1.36547 | + | 0.623590i | −0.957242 | − | 0.289289i | \(-0.906581\pi\) |
−0.408230 | + | 0.912879i | \(0.633854\pi\) | |||||||
\(702\) | 9.74751 | − | 4.45154i | 0.0138853 | − | 0.00634122i | ||||
\(703\) | −131.181 | + | 18.8610i | −0.186602 | + | 0.0268293i | ||||
\(704\) | 3.75324 | − | 5.84016i | 0.00533131 | − | 0.00829568i | ||||
\(705\) | −6.31911 | + | 7.92341i | −0.00896327 | + | 0.0112389i | ||||
\(706\) | 63.0112 | − | 438.252i | 0.0892510 | − | 0.620754i | ||||
\(707\) | 154.627 | − | 178.449i | 0.218708 | − | 0.252403i | ||||
\(708\) | −4.13298 | − | 6.43104i | −0.00583754 | − | 0.00908338i | ||||
\(709\) | 329.221 | − | 285.272i | 0.464346 | − | 0.402358i | −0.391020 | − | 0.920382i | \(-0.627878\pi\) |
0.855366 | + | 0.518024i | \(0.173332\pi\) | |||||||
\(710\) | 170.301 | + | 503.147i | 0.239861 | + | 0.708658i | ||||
\(711\) | 547.000 | + | 249.807i | 0.769339 | + | 0.351345i | ||||
\(712\) | 49.6593 | 0.0697463 | ||||||||
\(713\) | −1024.33 | − | 183.070i | −1.43664 | − | 0.256760i | ||||
\(714\) | 8.94216 | 0.0125240 | ||||||||
\(715\) | 9.66136 | + | 52.0383i | 0.0135124 | + | 0.0727808i | ||||
\(716\) | −197.727 | − | 58.0580i | −0.276155 | − | 0.0810866i | ||||
\(717\) | −7.25138 | + | 6.28335i | −0.0101135 | + | 0.00876339i | ||||
\(718\) | 458.536 | − | 294.683i | 0.638629 | − | 0.410422i | ||||
\(719\) | 34.0127 | − | 39.2528i | 0.0473056 | − | 0.0545936i | −0.731604 | − | 0.681730i | \(-0.761228\pi\) |
0.778909 | + | 0.627137i | \(0.215773\pi\) | |||||||
\(720\) | 81.3752 | + | 160.529i | 0.113021 | + | 0.222957i | ||||
\(721\) | −39.1254 | + | 11.4883i | −0.0542654 | + | 0.0159338i | ||||
\(722\) | −209.381 | + | 325.804i | −0.290002 | + | 0.451251i | ||||
\(723\) | 0.888734 | + | 6.18128i | 0.00122923 | + | 0.00854949i | ||||
\(724\) | 356.650 | − | 162.877i | 0.492611 | − | 0.224968i | ||||
\(725\) | 501.772 | − | 41.0043i | 0.692099 | − | 0.0565577i | ||||
\(726\) | 0.835227 | + | 5.80913i | 0.00115045 | + | 0.00800156i | ||||
\(727\) | 883.641 | + | 567.882i | 1.21546 | + | 0.781130i | 0.981565 | − | 0.191131i | \(-0.0612154\pi\) |
0.233898 | + | 0.972261i | \(0.424852\pi\) | |||||||
\(728\) | −202.293 | + | 59.3986i | −0.277875 | + | 0.0815914i | ||||
\(729\) | −103.665 | + | 721.007i | −0.142202 | + | 0.989036i | ||||
\(730\) | −62.9872 | + | 615.192i | −0.0862838 | + | 0.842728i | ||||
\(731\) | −1620.65 | + | 1041.53i | −2.21704 | + | 1.42480i | ||||
\(732\) | −4.26012 | − | 4.91644i | −0.00581984 | − | 0.00671645i | ||||
\(733\) | 106.223 | + | 31.1900i | 0.144916 | + | 0.0425512i | 0.353386 | − | 0.935478i | \(-0.385030\pi\) |
−0.208470 | + | 0.978029i | \(0.566848\pi\) | |||||||
\(734\) | 841.542 | + | 384.319i | 1.14652 | + | 0.523596i | ||||
\(735\) | −1.15582 | − | 1.64682i | −0.00157255 | − | 0.00224057i | ||||
\(736\) | −111.785 | + | 66.5740i | −0.151882 | + | 0.0904538i | ||||
\(737\) | − | 35.0586i | − | 0.0475694i | ||||||
\(738\) | −627.317 | − | 286.486i | −0.850024 | − | 0.388193i | ||||
\(739\) | −488.070 | − | 143.310i | −0.660446 | − | 0.193924i | −0.0657016 | − | 0.997839i | \(-0.520929\pi\) |
−0.594744 | + | 0.803915i | \(0.702747\pi\) | |||||||
\(740\) | 137.732 | + | 34.4113i | 0.186124 | + | 0.0465018i | ||||
\(741\) | 2.12476 | + | 3.30619i | 0.00286742 | + | 0.00446180i | ||||
\(742\) | 21.4375 | + | 18.5757i | 0.0288916 | + | 0.0250347i | ||||
\(743\) | 174.755 | − | 1215.45i | 0.235202 | − | 1.63586i | −0.439834 | − | 0.898079i | \(-0.644963\pi\) |
0.675036 | − | 0.737785i | \(-0.264128\pi\) | |||||||
\(744\) | −4.23731 | + | 1.24419i | −0.00569531 | + | 0.00167229i | ||||
\(745\) | −27.5444 | − | 675.249i | −0.0369724 | − | 0.906374i | ||||
\(746\) | −201.866 | + | 29.0240i | −0.270598 | + | 0.0389062i | ||||
\(747\) | 111.202 | + | 243.498i | 0.148865 | + | 0.325968i | ||||
\(748\) | −47.3343 | + | 21.6168i | −0.0632811 | + | 0.0288995i | ||||
\(749\) | −70.0614 | − | 487.288i | −0.0935399 | − | 0.650584i | ||||
\(750\) | −1.83840 | + | 5.81727i | −0.00245120 | + | 0.00775636i | ||||
\(751\) | 169.329 | + | 576.681i | 0.225471 | + | 0.767884i | 0.992062 | + | 0.125749i | \(0.0401333\pi\) |
−0.766591 | + | 0.642136i | \(0.778049\pi\) | |||||||
\(752\) | 232.536 | + | 33.4337i | 0.309224 | + | 0.0444597i | ||||
\(753\) | 1.55580 | − | 1.79549i | 0.00206614 | − | 0.00238445i | ||||
\(754\) | −292.252 | + | 187.819i | −0.387602 | + | 0.249097i | ||||
\(755\) | 175.767 | + | 43.9141i | 0.232804 | + | 0.0581643i | ||||
\(756\) | −2.13878 | + | 7.28401i | −0.00282907 | + | 0.00963494i | ||||
\(757\) | 503.636 | − | 1102.81i | 0.665306 | − | 1.45682i | −0.212188 | − | 0.977229i | \(-0.568059\pi\) |
0.877494 | − | 0.479587i | \(-0.159214\pi\) | |||||||
\(758\) | −716.749 | −0.945579 | ||||||||
\(759\) | −0.216451 | + | 0.653920i | −0.000285180 | + | 0.000861554i | ||||
\(760\) | −108.063 | + | 75.8440i | −0.142188 | + | 0.0997947i | ||||
\(761\) | −272.945 | + | 597.667i | −0.358667 | + | 0.785371i | 0.641172 | + | 0.767397i | \(0.278449\pi\) |
−0.999838 | + | 0.0179732i | \(0.994279\pi\) | |||||||
\(762\) | 0.770450 | − | 2.62391i | 0.00101109 | − | 0.00344345i | ||||
\(763\) | 902.028 | − | 781.611i | 1.18221 | − | 1.02439i | ||||
\(764\) | 222.912 | + | 346.857i | 0.291769 | + | 0.454002i | ||||
\(765\) | 137.406 | − | 1342.03i | 0.179615 | − | 1.75429i | ||||
\(766\) | −226.982 | − | 32.6351i | −0.296322 | − | 0.0426046i | ||||
\(767\) | −380.627 | − | 1296.30i | −0.496254 | − | 1.69009i | ||||
\(768\) | −0.298534 | + | 0.464528i | −0.000388716 | + | 0.000604855i | ||||
\(769\) | −1441.92 | + | 207.317i | −1.87506 | + | 0.269593i | −0.983176 | − | 0.182663i | \(-0.941528\pi\) |
−0.891888 | + | 0.452256i | \(0.850619\pi\) | |||||||
\(770\) | −32.3435 | − | 18.9693i | −0.0420045 | − | 0.0246354i | ||||
\(771\) | 6.04710 | + | 13.2413i | 0.00784320 | + | 0.0171742i | ||||
\(772\) | 461.796 | − | 66.3962i | 0.598181 | − | 0.0860054i | ||||
\(773\) | 612.818 | + | 393.834i | 0.792779 | + | 0.509488i | 0.873252 | − | 0.487269i | \(-0.162007\pi\) |
−0.0804730 | + | 0.996757i | \(0.525643\pi\) | |||||||
\(774\) | −230.371 | − | 784.572i | −0.297637 | − | 1.01366i | ||||
\(775\) | 998.136 | + | 531.959i | 1.28792 | + | 0.686399i | ||||
\(776\) | 287.125 | + | 248.795i | 0.370006 | + | 0.320612i | ||||
\(777\) | 1.61863 | + | 2.51864i | 0.00208318 | + | 0.00324149i | ||||
\(778\) | 457.293 | + | 527.744i | 0.587780 | + | 0.678334i | ||||
\(779\) | 142.525 | − | 485.395i | 0.182959 | − | 0.623100i | ||||
\(780\) | −0.768468 | − | 4.13914i | −0.000985215 | − | 0.00530659i | ||||
\(781\) | − | 65.1883i | − | 0.0834678i | ||||||
\(782\) | 974.682 | + | 33.2060i | 1.24640 | + | 0.0424629i | ||||
\(783\) | 12.5089i | 0.0159757i | ||||||||
\(784\) | −19.3742 | + | 42.4235i | −0.0247120 | + | 0.0541117i | ||||
\(785\) | 115.345 | − | 39.0411i | 0.146936 | − | 0.0497339i | ||||
\(786\) | 5.46787 | + | 6.31026i | 0.00695658 | + | 0.00802832i | ||||
\(787\) | −1013.31 | + | 651.215i | −1.28756 | + | 0.827465i | −0.991800 | − | 0.127797i | \(-0.959209\pi\) |
−0.295761 | + | 0.955262i | \(0.595573\pi\) | |||||||
\(788\) | 373.020 | + | 323.223i | 0.473375 | + | 0.410182i | ||||
\(789\) | −3.06341 | − | 0.440452i | −0.00388265 | − | 0.000558241i | ||||
\(790\) | 294.624 | − | 369.423i | 0.372942 | − | 0.467624i | ||||
\(791\) | −273.842 | − | 175.987i | −0.346197 | − | 0.222487i | ||||
\(792\) | −3.14332 | − | 21.8622i | −0.00396883 | − | 0.0276038i | ||||
\(793\) | −477.600 | − | 1045.80i | −0.602269 | − | 1.31879i | ||||
\(794\) | 155.250 | + | 339.949i | 0.195528 | + | 0.428147i | ||||
\(795\) | −0.412587 | + | 0.388055i | −0.000518978 | + | 0.000488120i | ||||
\(796\) | −253.925 | + | 395.115i | −0.319001 | + | 0.496375i | ||||
\(797\) | 179.262 | − | 52.6362i | 0.224921 | − | 0.0660429i | −0.167330 | − | 0.985901i | \(-0.553515\pi\) |
0.392251 | + | 0.919858i | \(0.371696\pi\) | |||||||
\(798\) | −2.75587 | − | 0.396234i | −0.00345347 | − | 0.000496534i | ||||
\(799\) | −1330.84 | − | 1153.18i | −1.66563 | − | 1.44327i | ||||
\(800\) | 137.878 | − | 31.4607i | 0.172347 | − | 0.0393258i | ||||
\(801\) | 119.404 | − | 103.464i | 0.149069 | − | 0.129169i | ||||
\(802\) | 517.409 | + | 151.925i | 0.645148 | + | 0.189433i | ||||
\(803\) | 31.5268 | − | 69.0340i | 0.0392613 | − | 0.0859702i | ||||
\(804\) | 2.78858i | 0.00346838i | ||||||||
\(805\) | 383.884 | + | 588.609i | 0.476875 | + | 0.731191i | ||||
\(806\) | −780.472 | −0.968328 | ||||||||
\(807\) | 10.9444 | + | 4.99814i | 0.0135618 | + | 0.00619348i | ||||
\(808\) | 30.7913 | − | 104.865i | 0.0381080 | − | 0.129784i | ||||
\(809\) | 535.442 | + | 617.933i | 0.661857 | + | 0.763824i | 0.983079 | − | 0.183180i | \(-0.0586391\pi\) |
−0.321222 | + | 0.947004i | \(0.604094\pi\) | |||||||
\(810\) | 530.052 | + | 216.413i | 0.654385 | + | 0.267177i | ||||
\(811\) | −523.049 | + | 603.631i | −0.644944 | + | 0.744305i | −0.980241 | − | 0.197808i | \(-0.936618\pi\) |
0.335297 | + | 0.942112i | \(0.391163\pi\) | |||||||
\(812\) | 35.0253 | − | 243.606i | 0.0431346 | − | 0.300008i | ||||
\(813\) | −2.80678 | − | 9.55901i | −0.00345237 | − | 0.0117577i | ||||
\(814\) | −14.6566 | − | 9.41922i | −0.0180056 | − | 0.0115715i | ||||
\(815\) | −289.924 | + | 272.685i | −0.355735 | + | 0.334583i | ||||
\(816\) | 3.76498 | − | 1.71941i | 0.00461395 | − | 0.00210712i | ||||
\(817\) | 545.618 | − | 249.175i | 0.667831 | − | 0.304988i | ||||
\(818\) | −929.154 | + | 133.592i | −1.13588 | + | 0.163316i | ||||
\(819\) | −362.650 | + | 564.294i | −0.442796 | + | 0.689004i | ||||
\(820\) | −337.884 | + | 423.666i | −0.412054 | + | 0.516666i | ||||
\(821\) | −139.526 | + | 970.424i | −0.169946 | + | 1.18200i | 0.709045 | + | 0.705164i | \(0.249126\pi\) |
−0.878991 | + | 0.476839i | \(0.841783\pi\) | |||||||
\(822\) | 0.729741 | − | 0.842166i | 0.000887763 | − | 0.00102453i | ||||
\(823\) | 306.425 | + | 476.807i | 0.372327 | + | 0.579352i | 0.975971 | − | 0.217902i | \(-0.0699214\pi\) |
−0.603644 | + | 0.797254i | \(0.706285\pi\) | |||||||
\(824\) | −14.2643 | + | 12.3601i | −0.0173110 | + | 0.0150001i | ||||
\(825\) | 0.442585 | − | 0.603890i | 0.000536467 | − | 0.000731988i | ||||
\(826\) | 870.621 | + | 397.599i | 1.05402 | + | 0.481355i | ||||
\(827\) | −177.704 | −0.214878 | −0.107439 | − | 0.994212i | \(-0.534265\pi\) | ||||
−0.107439 | + | 0.994212i | \(0.534265\pi\) | |||||||
\(828\) | −130.078 | + | 392.976i | −0.157099 | + | 0.474609i | ||||
\(829\) | 552.542 | 0.666516 | 0.333258 | − | 0.942836i | \(-0.391852\pi\) | ||||
0.333258 | + | 0.942836i | \(0.391852\pi\) | |||||||
\(830\) | 206.810 | − | 38.3960i | 0.249168 | − | 0.0462603i | ||||
\(831\) | −9.26313 | − | 2.71990i | −0.0111470 | − | 0.00327304i | ||||
\(832\) | −73.7517 | + | 63.9062i | −0.0886438 | + | 0.0768103i | ||||
\(833\) | 294.090 | − | 189.000i | 0.353049 | − | 0.226891i | ||||
\(834\) | 6.59085 | − | 7.60625i | 0.00790270 | − | 0.00912020i | ||||
\(835\) | 119.069 | − | 60.3583i | 0.142597 | − | 0.0722853i | ||||
\(836\) | 15.5457 | − | 4.56464i | 0.0185954 | − | 0.00546010i | ||||
\(837\) | −15.1934 | + | 23.6415i | −0.0181523 | + | 0.0282455i | ||||
\(838\) | 35.2318 | + | 245.042i | 0.0420427 | + | 0.292413i | ||||
\(839\) | 1211.37 | − | 553.212i | 1.44382 | − | 0.659371i | 0.469171 | − | 0.883107i | \(-0.344553\pi\) |
0.974650 | + | 0.223737i | \(0.0718255\pi\) | |||||||
\(840\) | 2.57261 | + | 1.50882i | 0.00306263 | + | 0.00179622i | ||||
\(841\) | 61.9738 | + | 431.037i | 0.0736906 | + | 0.512529i | ||||
\(842\) | 321.382 | + | 206.540i | 0.381689 | + | 0.245296i | ||||
\(843\) | −7.22625 | + | 2.12182i | −0.00857206 | + | 0.00251698i | ||||
\(844\) | 24.9843 | − | 173.770i | 0.0296023 | − | 0.205889i | ||||
\(845\) | −10.2863 | + | 100.466i | −0.0121732 | + | 0.118895i | ||||
\(846\) | 628.784 | − | 404.095i | 0.743243 | − | 0.477653i | ||||
\(847\) | −481.186 | − | 555.318i | −0.568106 | − | 0.655630i | ||||
\(848\) | 12.5978 | + | 3.69904i | 0.0148559 | + | 0.00436208i | ||||
\(849\) | −6.93816 | − | 3.16855i | −0.00817215 | − | 0.00373210i | ||||
\(850\) | −996.920 | − | 360.362i | −1.17285 | − | 0.423955i | ||||
\(851\) | 167.075 | + | 280.538i | 0.196328 | + | 0.329657i | ||||
\(852\) | 5.18510i | 0.00608580i | ||||||||
\(853\) | 1251.99 | + | 571.764i | 1.46775 | + | 0.670297i | 0.979322 | − | 0.202309i | \(-0.0648444\pi\) |
0.488425 | + | 0.872606i | \(0.337572\pi\) | |||||||
\(854\) | 781.492 | + | 229.467i | 0.915096 | + | 0.268696i | ||||
\(855\) | −101.813 | + | 407.510i | −0.119080 | + | 0.476620i | ||||
\(856\) | −123.195 | − | 191.695i | −0.143919 | − | 0.223943i | ||||
\(857\) | −167.050 | − | 144.750i | −0.194925 | − | 0.168903i | 0.551930 | − | 0.833890i | \(-0.313892\pi\) |
−0.746855 | + | 0.664987i | \(0.768437\pi\) | |||||||
\(858\) | −0.0735262 | + | 0.511386i | −8.56949e−5 | + | 0.000596021i | ||||
\(859\) | 381.999 | − | 112.165i | 0.444702 | − | 0.130576i | −0.0517123 | − | 0.998662i | \(-0.516468\pi\) |
0.496414 | + | 0.868086i | \(0.334650\pi\) | |||||||
\(860\) | −641.993 | + | 26.1879i | −0.746503 | + | 0.0304510i | ||||
\(861\) | −11.3118 | + | 1.62640i | −0.0131380 | + | 0.00188896i | ||||
\(862\) | −77.9070 | − | 170.592i | −0.0903793 | − | 0.197903i | ||||
\(863\) | −593.585 | + | 271.081i | −0.687815 | + | 0.314115i | −0.728489 | − | 0.685058i | \(-0.759777\pi\) |
0.0406735 | + | 0.999172i | \(0.487050\pi\) | |||||||
\(864\) | 0.500074 | + | 3.47809i | 0.000578789 | + | 0.00402557i | ||||
\(865\) | −22.8049 | − | 559.060i | −0.0263641 | − | 0.646312i | ||||
\(866\) | 91.1926 | + | 310.573i | 0.105303 | + | 0.358630i | ||||
\(867\) | −20.8367 | − | 2.99587i | −0.0240331 | − | 0.00345544i | ||||
\(868\) | 362.082 | − | 417.865i | 0.417146 | − | 0.481412i | ||||
\(869\) | −48.7833 | + | 31.3511i | −0.0561373 | + | 0.0360772i | ||||
\(870\) | 4.76775 | + | 1.19119i | 0.00548018 | + | 0.00136918i | ||||
\(871\) | −138.844 | + | 472.861i | −0.159408 | + | 0.542894i | ||||
\(872\) | 229.498 | − | 502.531i | 0.263186 | − | 0.576297i | ||||
\(873\) | 1208.74 | 1.38458 | ||||||||
\(874\) | −298.915 | − | 53.4227i | −0.342008 | − | 0.0611244i | ||||
\(875\) | −200.134 | − | 737.151i | −0.228725 | − | 0.842458i | ||||
\(876\) | −2.50765 | + | 5.49099i | −0.00286262 | + | 0.00626826i | ||||
\(877\) | −154.194 | + | 525.137i | −0.175820 | + | 0.598788i | 0.823677 | + | 0.567060i | \(0.191919\pi\) |
−0.999497 | + | 0.0317278i | \(0.989899\pi\) | |||||||
\(878\) | −516.551 | + | 447.594i | −0.588327 | + | 0.509788i | ||||
\(879\) | 0.336843 | + | 0.524137i | 0.000383211 | + | 0.000596288i | ||||
\(880\) | −17.2653 | − | 1.76773i | −0.0196196 | − | 0.00200878i | ||||
\(881\) | −1469.08 | − | 211.222i | −1.66752 | − | 0.239753i | −0.757056 | − | 0.653350i | \(-0.773363\pi\) |
−0.910460 | + | 0.413598i | \(0.864272\pi\) | |||||||
\(882\) | 41.8040 | + | 142.371i | 0.0473969 | + | 0.161419i | ||||
\(883\) | 240.219 | − | 373.788i | 0.272049 | − | 0.423316i | −0.678168 | − | 0.734907i | \(-0.737226\pi\) |
0.950216 | + | 0.311591i | \(0.100862\pi\) | |||||||
\(884\) | 724.041 | − | 104.101i | 0.819051 | − | 0.117762i | ||||
\(885\) | −9.66857 | + | 16.4854i | −0.0109249 | + | 0.0186275i | ||||
\(886\) | 28.7265 | + | 62.9023i | 0.0324227 | + | 0.0709958i | ||||
\(887\) | 369.141 | − | 53.0744i | 0.416168 | − | 0.0598359i | 0.0689493 | − | 0.997620i | \(-0.478035\pi\) |
0.347218 | + | 0.937784i | \(0.387126\pi\) | |||||||
\(888\) | 1.16579 | + | 0.749208i | 0.00131283 | + | 0.000843702i | ||||
\(889\) | 96.4615 | + | 328.518i | 0.108506 | + | 0.369536i | ||||
\(890\) | −56.1330 | − | 110.733i | −0.0630708 | − | 0.124420i | ||||
\(891\) | −53.1004 | − | 46.0118i | −0.0595965 | − | 0.0516406i | ||||
\(892\) | −446.615 | − | 694.946i | −0.500689 | − | 0.779087i | ||||
\(893\) | 359.050 | + | 414.366i | 0.402072 | + | 0.464016i | ||||
\(894\) | 1.85854 | − | 6.32961i | 0.00207890 | − | 0.00708010i | ||||
\(895\) | 94.0419 | + | 506.531i | 0.105075 | + | 0.565956i | ||||
\(896\) | − | 69.1345i | − | 0.0771590i | ||||||
\(897\) | 5.50918 | − | 7.96265i | 0.00614179 | − | 0.00887698i | ||||
\(898\) | 1007.66i | 1.12211i | ||||||||
\(899\) | 378.471 | − | 828.736i | 0.420991 | − | 0.921842i | ||||
\(900\) | 265.974 | − | 362.911i | 0.295526 | − | 0.403234i | ||||
\(901\) | −64.4486 | − | 74.3776i | −0.0715300 | − | 0.0825500i | ||||
\(902\) | 55.9463 | − | 35.9545i | 0.0620247 | − | 0.0398608i | ||||
\(903\) | −10.2406 | − | 8.87350i | −0.0113406 | − | 0.00982669i | ||||
\(904\) | −149.137 | − | 21.4426i | −0.164974 | − | 0.0237197i | ||||
\(905\) | −766.336 | − | 611.171i | −0.846780 | − | 0.675327i | ||||
\(906\) | 1.48773 | + | 0.956104i | 0.00164208 | + | 0.00105530i | ||||
\(907\) | 45.1902 | + | 314.305i | 0.0498238 | + | 0.346532i | 0.999450 | + | 0.0331486i | \(0.0105535\pi\) |
−0.949627 | + | 0.313384i | \(0.898537\pi\) | |||||||
\(908\) | 265.739 | + | 581.887i | 0.292664 | + | 0.640845i | ||||
\(909\) | −144.448 | − | 316.298i | −0.158909 | − | 0.347963i | ||||
\(910\) | 361.115 | + | 383.943i | 0.396829 | + | 0.421916i | ||||
\(911\) | 265.923 | − | 413.784i | 0.291902 | − | 0.454209i | −0.664068 | − | 0.747672i | \(-0.731171\pi\) |
0.955970 | + | 0.293463i | \(0.0948078\pi\) | |||||||
\(912\) | −1.23651 | + | 0.363073i | −0.00135583 | + | 0.000398107i | ||||
\(913\) | −25.5511 | − | 3.67369i | −0.0279859 | − | 0.00402376i | ||||
\(914\) | −334.286 | − | 289.660i | −0.365739 | − | 0.316915i | ||||
\(915\) | −6.14751 | + | 15.0568i | −0.00671859 | + | 0.0164556i | ||||
\(916\) | −78.8118 | + | 68.2908i | −0.0860390 | + | 0.0745532i | ||||
\(917\) | −1003.05 | − | 294.521i | −1.09383 | − | 0.321178i | ||||
\(918\) | 10.9415 | − | 23.9586i | 0.0119189 | − | 0.0260987i | ||||
\(919\) | − | 923.853i | − | 1.00528i | −0.864496 | − | 0.502640i | \(-0.832362\pi\) | ||
0.864496 | − | 0.502640i | \(-0.167638\pi\) | |||||||
\(920\) | 274.808 | + | 174.013i | 0.298705 | + | 0.189144i | ||||
\(921\) | −10.5232 | −0.0114259 | ||||||||
\(922\) | 513.346 | + | 234.437i | 0.556774 | + | 0.254270i | ||||
\(923\) | −258.168 | + | 879.241i | −0.279706 | + | 0.952591i | ||||
\(924\) | −0.239686 | − | 0.276612i | −0.000259400 | − | 0.000299363i | ||||
\(925\) | −78.9544 | − | 346.021i | −0.0853561 | − | 0.374076i | ||||
\(926\) | 489.820 | − | 565.282i | 0.528963 | − | 0.610456i | ||||
\(927\) | −8.54599 | + | 59.4386i | −0.00921897 | + | 0.0641194i | ||||
\(928\) | −32.0940 | − | 109.302i | −0.0345841 | − | 0.117782i | ||||
\(929\) | 1333.59 | + | 857.046i | 1.43551 | + | 0.922547i | 0.999747 | + | 0.0224858i | \(0.00715806\pi\) |
0.435764 | + | 0.900061i | \(0.356478\pi\) | |||||||
\(930\) | 7.56406 | + | 8.04224i | 0.00813340 | + | 0.00864757i | ||||
\(931\) | −99.0100 | + | 45.2163i | −0.106348 | + | 0.0485675i | ||||
\(932\) | −756.335 | + | 345.406i | −0.811518 | + | 0.370608i | ||||
\(933\) | 0.822372 | − | 0.118239i | 0.000881428 | − | 0.000126730i | ||||
\(934\) | −119.123 | + | 185.360i | −0.127541 | + | 0.198458i | ||||
\(935\) | 101.707 | + | 81.1140i | 0.108778 | + | 0.0867530i | ||||
\(936\) | −44.1860 | + | 307.320i | −0.0472072 | + | 0.328333i | ||||
\(937\) | −131.237 | + | 151.456i | −0.140061 | + | 0.161639i | −0.821446 | − | 0.570286i | \(-0.806832\pi\) |
0.681385 | + | 0.731925i | \(0.261378\pi\) | |||||||
\(938\) | −188.756 | − | 293.710i | −0.201233 | − | 0.313124i | ||||
\(939\) | 4.45867 | − | 3.86346i | 0.00474832 | − | 0.00411444i | ||||
\(940\) | −188.298 | − | 556.316i | −0.200317 | − | 0.591826i | ||||
\(941\) | −1203.48 | − | 549.609i | −1.27893 | − | 0.584069i | −0.344025 | − | 0.938961i | \(-0.611790\pi\) |
−0.934907 | + | 0.354892i | \(0.884518\pi\) | |||||||
\(942\) | 1.18867 | 0.00126186 | ||||||||
\(943\) | −1239.01 | + | 135.269i | −1.31391 | + | 0.143446i | ||||
\(944\) | 443.015 | 0.469296 | ||||||||
\(945\) | 18.6599 | − | 3.46438i | 0.0197460 | − | 0.00366601i | ||||
\(946\) | 75.6581 | + | 22.2152i | 0.0799769 | + | 0.0234833i | ||||
\(947\) | 97.0542 | − | 84.0979i | 0.102486 | − | 0.0888046i | −0.602111 | − | 0.798413i | \(-0.705673\pi\) |
0.704597 | + | 0.709608i | \(0.251128\pi\) | |||||||
\(948\) | 3.88024 | − | 2.49368i | 0.00409308 | − | 0.00263046i | ||||
\(949\) | −698.623 | + | 806.254i | −0.736168 | + | 0.849583i | ||||
\(950\) | 291.271 | + | 155.234i | 0.306602 | + | 0.163404i | ||||
\(951\) | −3.96724 | + | 1.16489i | −0.00417165 | + | 0.00122491i | ||||
\(952\) | −280.166 | + | 435.947i | −0.294292 | + | 0.457928i | ||||
\(953\) | 76.9571 | + | 535.248i | 0.0807525 | + | 0.561646i | 0.989526 | + | 0.144356i | \(0.0461110\pi\) |
−0.908773 | + | 0.417290i | \(0.862980\pi\) | |||||||
\(954\) | 37.9977 | − | 17.3530i | 0.0398299 | − | 0.0181897i | ||||
\(955\) | 521.474 | − | 889.136i | 0.546046 | − | 0.931033i | ||||
\(956\) | −79.1330 | − | 550.382i | −0.0827751 | − | 0.575713i | ||||
\(957\) | −0.507355 | − | 0.326057i | −0.000530151 | − | 0.000340707i | ||||
\(958\) | 551.401 | − | 161.906i | 0.575575 | − | 0.169004i | ||||
\(959\) | −19.8554 | + | 138.098i | −0.0207043 | + | 0.144002i | ||||
\(960\) | 1.37329 | + | 0.140606i | 0.00143051 | + | 0.000146464i | ||||
\(961\) | 913.440 | − | 587.032i | 0.950510 | − | 0.610855i | ||||
\(962\) | 160.380 | + | 185.089i | 0.166716 | + | 0.192400i | ||||
\(963\) | −695.609 | − | 204.249i | −0.722336 | − | 0.212097i | ||||
\(964\) | −329.194 | − | 150.338i | −0.341488 | − | 0.155952i | ||||
\(965\) | −670.050 | − | 954.689i | −0.694352 | − | 0.989315i | ||||
\(966\) | 1.70735 | + | 6.64371i | 0.00176744 | + | 0.00687755i | ||||
\(967\) | 852.303i | 0.881389i | 0.897657 | + | 0.440694i | \(0.145268\pi\) | ||||
−0.897657 | + | 0.440694i | \(0.854732\pi\) | |||||||
\(968\) | −309.375 | − | 141.287i | −0.319602 | − | 0.145957i | ||||
\(969\) | 9.26854 | + | 2.72149i | 0.00956505 | + | 0.00280855i | ||||
\(970\) | 230.224 | − | 921.477i | 0.237344 | − | 0.949976i | ||||
\(971\) | −77.7145 | − | 120.926i | −0.0800355 | − | 0.124538i | 0.798928 | − | 0.601427i | \(-0.205401\pi\) |
−0.878964 | + | 0.476889i | \(0.841764\pi\) | |||||||
\(972\) | 12.6737 | + | 10.9818i | 0.0130388 | + | 0.0112982i | ||||
\(973\) | −179.330 | + | 1247.27i | −0.184306 | + | 1.28188i | ||||
\(974\) | 54.5757 | − | 16.0249i | 0.0560325 | − | 0.0164526i | ||||
\(975\) | −8.36107 | + | 6.39230i | −0.00857546 | + | 0.00655621i | ||||
\(976\) | 373.160 | − | 53.6523i | 0.382336 | − | 0.0549716i | ||||
\(977\) | 66.6445 | + | 145.931i | 0.0682134 | + | 0.149366i | 0.940668 | − | 0.339329i | \(-0.110200\pi\) |
−0.872454 | + | 0.488696i | \(0.837473\pi\) | |||||||
\(978\) | −3.53404 | + | 1.61394i | −0.00361354 | + | 0.00165025i | ||||
\(979\) | 2.16827 | + | 15.0807i | 0.00221478 | + | 0.0154042i | ||||
\(980\) | 116.498 | − | 4.75215i | 0.118876 | − | 0.00484913i | ||||
\(981\) | −495.193 | − | 1686.47i | −0.504783 | − | 1.71913i | ||||
\(982\) | −309.677 | − | 44.5248i | −0.315353 | − | 0.0453409i | ||||
\(983\) | 665.695 | − | 768.253i | 0.677207 | − | 0.781539i | −0.308279 | − | 0.951296i | \(-0.599753\pi\) |
0.985486 | + | 0.169757i | \(0.0542984\pi\) | |||||||
\(984\) | −4.44999 | + | 2.85983i | −0.00452234 | + | 0.00290633i | ||||
\(985\) | 299.097 | − | 1197.14i | 0.303652 | − | 1.21537i | ||||
\(986\) | −240.567 | + | 819.296i | −0.243983 | + | 0.830929i | ||||
\(987\) | 5.14531 | − | 11.2667i | 0.00521308 | − | 0.0114151i | ||||
\(988\) | −227.754 | −0.230520 | ||||||||
\(989\) | −1083.26 | − | 1005.23i | −1.09530 | − | 1.01641i | ||||
\(990\) | −45.1967 | + | 31.7214i | −0.0456532 | + | 0.0320418i | ||||
\(991\) | −345.439 | + | 756.406i | −0.348576 | + | 0.763276i | 0.651413 | + | 0.758723i | \(0.274176\pi\) |
−0.999990 | + | 0.00455253i | \(0.998551\pi\) | |||||||
\(992\) | 72.1025 | − | 245.559i | 0.0726840 | − | 0.247539i | ||||
\(993\) | −4.35617 | + | 3.77464i | −0.00438688 | + | 0.00380125i | ||||
\(994\) | −350.975 | − | 546.127i | −0.353093 | − | 0.549424i | ||||
\(995\) | 1168.08 | + | 119.595i | 1.17395 | + | 0.120196i | ||||
\(996\) | 2.03234 | + | 0.292207i | 0.00204050 | + | 0.000293380i | ||||
\(997\) | −12.5448 | − | 42.7237i | −0.0125826 | − | 0.0428523i | 0.952962 | − | 0.303088i | \(-0.0980178\pi\) |
−0.965545 | + | 0.260236i | \(0.916200\pi\) | |||||||
\(998\) | 140.925 | − | 219.284i | 0.141208 | − | 0.219723i | ||||
\(999\) | 8.72869 | − | 1.25500i | 0.00873743 | − | 0.00125625i |
(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 | 230.3.i.a.109.19 | yes | 240 | |
5.4 | even | 2 | inner | 230.3.i.a.109.6 | yes | 240 | |
23.19 | odd | 22 | inner | 230.3.i.a.19.6 | ✓ | 240 | |
115.19 | odd | 22 | inner | 230.3.i.a.19.19 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.3.i.a.19.6 | ✓ | 240 | 23.19 | odd | 22 | inner | |
230.3.i.a.19.19 | yes | 240 | 115.19 | odd | 22 | inner | |
230.3.i.a.109.6 | yes | 240 | 5.4 | even | 2 | inner | |
230.3.i.a.109.19 | yes | 240 | 1.1 | even | 1 | trivial |