Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(67,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.w (of order \(20\), degree \(8\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 67.20 | ||
Character | \(\chi\) | \(=\) | 300.67 |
Dual form | 300.2.w.a.103.20 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{13}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.611319 | − | 1.27526i | 0.432268 | − | 0.901745i | ||||
\(3\) | 0.987688 | + | 0.156434i | 0.570242 | + | 0.0903175i | ||||
\(4\) | −1.25258 | − | 1.55918i | −0.626289 | − | 0.779591i | ||||
\(5\) | −0.726283 | + | 2.11483i | −0.324804 | + | 0.945781i | ||||
\(6\) | 0.803287 | − | 1.16393i | 0.327941 | − | 0.475172i | ||||
\(7\) | 3.39156 | − | 3.39156i | 1.28189 | − | 1.28189i | 0.342298 | − | 0.939591i | \(-0.388795\pi\) |
0.939591 | − | 0.342298i | \(-0.111205\pi\) | |||||||
\(8\) | −2.75409 | + | 0.644208i | −0.973717 | + | 0.227762i | ||||
\(9\) | 0.951057 | + | 0.309017i | 0.317019 | + | 0.103006i | ||||
\(10\) | 2.25297 | + | 2.21904i | 0.712452 | + | 0.701721i | ||||
\(11\) | 2.54925 | − | 0.828300i | 0.768627 | − | 0.249742i | 0.101650 | − | 0.994820i | \(-0.467588\pi\) |
0.666977 | + | 0.745078i | \(0.267588\pi\) | |||||||
\(12\) | −0.993248 | − | 1.73593i | −0.286726 | − | 0.501120i | ||||
\(13\) | −1.36403 | − | 2.67705i | −0.378313 | − | 0.742481i | 0.620827 | − | 0.783948i | \(-0.286797\pi\) |
−0.999140 | + | 0.0414664i | \(0.986797\pi\) | |||||||
\(14\) | −2.25180 | − | 6.39845i | −0.601819 | − | 1.71006i | ||||
\(15\) | −1.04817 | + | 1.97518i | −0.270637 | + | 0.509989i | ||||
\(16\) | −0.862092 | + | 3.90600i | −0.215523 | + | 0.976499i | ||||
\(17\) | 0.0551663 | + | 0.348307i | 0.0133798 | + | 0.0844767i | 0.993475 | − | 0.114053i | \(-0.0363834\pi\) |
−0.980095 | + | 0.198530i | \(0.936383\pi\) | |||||||
\(18\) | 0.975476 | − | 1.02394i | 0.229922 | − | 0.241344i | ||||
\(19\) | 0.0301061 | + | 0.0218734i | 0.00690682 | + | 0.00501810i | 0.591233 | − | 0.806501i | \(-0.298641\pi\) |
−0.584326 | + | 0.811519i | \(0.698641\pi\) | |||||||
\(20\) | 4.20713 | − | 1.51659i | 0.940743 | − | 0.339119i | ||||
\(21\) | 3.88036 | − | 2.81925i | 0.846765 | − | 0.615210i | ||||
\(22\) | 0.502103 | − | 3.75731i | 0.107049 | − | 0.801061i | ||||
\(23\) | −0.826275 | + | 1.62166i | −0.172290 | + | 0.338139i | −0.960964 | − | 0.276673i | \(-0.910768\pi\) |
0.788674 | + | 0.614812i | \(0.210768\pi\) | |||||||
\(24\) | −2.82096 | + | 0.205443i | −0.575825 | + | 0.0419358i | ||||
\(25\) | −3.94503 | − | 3.07193i | −0.789005 | − | 0.614387i | ||||
\(26\) | −4.24780 | + | 0.102957i | −0.833062 | + | 0.0201915i | ||||
\(27\) | 0.891007 | + | 0.453990i | 0.171474 | + | 0.0873705i | ||||
\(28\) | −9.53626 | − | 1.03986i | −1.80218 | − | 0.196515i | ||||
\(29\) | 3.43571 | + | 4.72885i | 0.637996 | + | 0.878126i | 0.998507 | − | 0.0546290i | \(-0.0173976\pi\) |
−0.360511 | + | 0.932755i | \(0.617398\pi\) | |||||||
\(30\) | 1.87810 | + | 2.54416i | 0.342892 | + | 0.464498i | ||||
\(31\) | −3.91117 | + | 5.38327i | −0.702467 | + | 0.966864i | 0.297459 | + | 0.954735i | \(0.403861\pi\) |
−0.999926 | + | 0.0121289i | \(0.996139\pi\) | |||||||
\(32\) | 4.45415 | + | 3.48720i | 0.787390 | + | 0.616456i | ||||
\(33\) | 2.64744 | − | 0.419313i | 0.460859 | − | 0.0729930i | ||||
\(34\) | 0.477906 | + | 0.142575i | 0.0819602 | + | 0.0244514i | ||||
\(35\) | 4.70935 | + | 9.63581i | 0.796025 | + | 1.62875i | ||||
\(36\) | −0.709460 | − | 1.86994i | −0.118243 | − | 0.311656i | ||||
\(37\) | −8.36414 | + | 4.26174i | −1.37506 | + | 0.700626i | −0.976298 | − | 0.216430i | \(-0.930559\pi\) |
−0.398759 | + | 0.917056i | \(0.630559\pi\) | |||||||
\(38\) | 0.0462987 | − | 0.0250216i | 0.00751065 | − | 0.00405903i | ||||
\(39\) | −0.928450 | − | 2.85748i | −0.148671 | − | 0.457562i | ||||
\(40\) | 0.637856 | − | 6.29231i | 0.100854 | − | 0.994901i | ||||
\(41\) | −2.14293 | + | 6.59526i | −0.334669 | + | 1.03001i | 0.632215 | + | 0.774793i | \(0.282146\pi\) |
−0.966885 | + | 0.255214i | \(0.917854\pi\) | |||||||
\(42\) | −1.22314 | − | 6.67193i | −0.188734 | − | 1.02950i | ||||
\(43\) | 3.96315 | + | 3.96315i | 0.604375 | + | 0.604375i | 0.941470 | − | 0.337095i | \(-0.109445\pi\) |
−0.337095 | + | 0.941470i | \(0.609445\pi\) | |||||||
\(44\) | −4.48460 | − | 2.93723i | −0.676079 | − | 0.442803i | ||||
\(45\) | −1.34426 | + | 1.78689i | −0.200390 | + | 0.266374i | ||||
\(46\) | 1.56292 | + | 2.04506i | 0.230440 | + | 0.301528i | ||||
\(47\) | 1.79499 | − | 11.3331i | 0.261827 | − | 1.65311i | −0.409767 | − | 0.912190i | \(-0.634390\pi\) |
0.671594 | − | 0.740919i | \(-0.265610\pi\) | |||||||
\(48\) | −1.46251 | + | 3.72304i | −0.211095 | + | 0.537375i | ||||
\(49\) | − | 16.0054i | − | 2.28648i | ||||||
\(50\) | −6.32918 | + | 3.15300i | −0.895082 | + | 0.445902i | ||||
\(51\) | 0.352648i | 0.0493806i | ||||||||
\(52\) | −2.46546 | + | 5.47999i | −0.341898 | + | 0.759938i | ||||
\(53\) | −0.934134 | + | 5.89789i | −0.128313 | + | 0.810138i | 0.836647 | + | 0.547742i | \(0.184513\pi\) |
−0.964960 | + | 0.262396i | \(0.915487\pi\) | |||||||
\(54\) | 1.12365 | − | 0.858733i | 0.152909 | − | 0.116859i | ||||
\(55\) | −0.0997595 | + | 5.99281i | −0.0134516 | + | 0.808070i | ||||
\(56\) | −7.15578 | + | 11.5255i | −0.956232 | + | 1.54016i | ||||
\(57\) | 0.0263137 | + | 0.0263137i | 0.00348534 | + | 0.00348534i | ||||
\(58\) | 8.13084 | − | 1.49059i | 1.06763 | − | 0.195724i | ||||
\(59\) | −3.53381 | + | 10.8759i | −0.460063 | + | 1.41593i | 0.405024 | + | 0.914306i | \(0.367263\pi\) |
−0.865087 | + | 0.501622i | \(0.832737\pi\) | |||||||
\(60\) | 4.39258 | − | 0.839774i | 0.567080 | − | 0.108414i | ||||
\(61\) | −1.26478 | − | 3.89259i | −0.161938 | − | 0.498395i | 0.836859 | − | 0.547418i | \(-0.184389\pi\) |
−0.998798 | + | 0.0490230i | \(0.984389\pi\) | |||||||
\(62\) | 4.47410 | + | 8.27866i | 0.568211 | + | 1.05139i | ||||
\(63\) | 4.27362 | − | 2.17752i | 0.538425 | − | 0.274341i | ||||
\(64\) | 7.16999 | − | 3.54841i | 0.896249 | − | 0.443551i | ||||
\(65\) | 6.65219 | − | 0.940388i | 0.825103 | − | 0.116641i | ||||
\(66\) | 1.08369 | − | 3.63250i | 0.133394 | − | 0.447130i | ||||
\(67\) | 8.89404 | − | 1.40868i | 1.08658 | − | 0.172097i | 0.412648 | − | 0.910891i | \(-0.364604\pi\) |
0.673932 | + | 0.738793i | \(0.264604\pi\) | |||||||
\(68\) | 0.473973 | − | 0.522296i | 0.0574776 | − | 0.0633377i | ||||
\(69\) | −1.06979 | + | 1.47243i | −0.128787 | + | 0.177260i | ||||
\(70\) | 15.1671 | − | 0.115090i | 1.81281 | − | 0.0137559i | ||||
\(71\) | −9.59181 | − | 13.2020i | −1.13834 | − | 1.56679i | −0.771165 | − | 0.636635i | \(-0.780326\pi\) |
−0.367172 | − | 0.930153i | \(-0.619674\pi\) | |||||||
\(72\) | −2.81836 | − | 0.238382i | −0.332147 | − | 0.0280935i | ||||
\(73\) | 4.09605 | + | 2.08704i | 0.479406 | + | 0.244270i | 0.676956 | − | 0.736023i | \(-0.263299\pi\) |
−0.197550 | + | 0.980293i | \(0.563299\pi\) | |||||||
\(74\) | 0.321677 | + | 13.2717i | 0.0373942 | + | 1.54281i | ||||
\(75\) | −3.41590 | − | 3.65125i | −0.394434 | − | 0.421610i | ||||
\(76\) | −0.00360574 | − | 0.0743391i | −0.000413607 | − | 0.00852728i | ||||
\(77\) | 5.83669 | − | 11.4552i | 0.665153 | − | 1.30544i | ||||
\(78\) | −4.21161 | − | 0.562813i | −0.476871 | − | 0.0637260i | ||||
\(79\) | −1.31184 | + | 0.953110i | −0.147594 | + | 0.107233i | −0.659132 | − | 0.752028i | \(-0.729076\pi\) |
0.511538 | + | 0.859261i | \(0.329076\pi\) | |||||||
\(80\) | −7.63440 | − | 4.66004i | −0.853552 | − | 0.521008i | ||||
\(81\) | 0.809017 | + | 0.587785i | 0.0898908 | + | 0.0653095i | ||||
\(82\) | 7.10066 | + | 6.76460i | 0.784137 | + | 0.747025i | ||||
\(83\) | 0.977173 | + | 6.16963i | 0.107259 | + | 0.677205i | 0.981464 | + | 0.191648i | \(0.0613832\pi\) |
−0.874205 | + | 0.485557i | \(0.838617\pi\) | |||||||
\(84\) | −9.25618 | − | 2.51886i | −1.00993 | − | 0.274830i | ||||
\(85\) | −0.776676 | − | 0.136302i | −0.0842423 | − | 0.0147840i | ||||
\(86\) | 7.47680 | − | 2.63130i | 0.806244 | − | 0.283741i | ||||
\(87\) | 2.65366 | + | 5.20810i | 0.284502 | + | 0.558367i | ||||
\(88\) | −6.48725 | + | 3.92346i | −0.691543 | + | 0.418242i | ||||
\(89\) | −13.2764 | + | 4.31376i | −1.40729 | + | 0.457257i | −0.911542 | − | 0.411207i | \(-0.865107\pi\) |
−0.495751 | + | 0.868465i | \(0.665107\pi\) | |||||||
\(90\) | 1.45698 | + | 2.80664i | 0.153579 | + | 0.295845i | ||||
\(91\) | −13.7056 | − | 4.45321i | −1.43673 | − | 0.466823i | ||||
\(92\) | 3.56343 | − | 0.742940i | 0.371513 | − | 0.0774568i | ||||
\(93\) | −4.70515 | + | 4.70515i | −0.487901 | + | 0.487901i | ||||
\(94\) | −13.3554 | − | 9.21725i | −1.37750 | − | 0.950687i | ||||
\(95\) | −0.0681241 | + | 0.0477831i | −0.00698939 | + | 0.00490245i | ||||
\(96\) | 3.85379 | + | 4.14105i | 0.393326 | + | 0.422644i | ||||
\(97\) | 8.89748 | + | 1.40922i | 0.903402 | + | 0.143085i | 0.590818 | − | 0.806805i | \(-0.298805\pi\) |
0.312584 | + | 0.949890i | \(0.398805\pi\) | |||||||
\(98\) | −20.4110 | − | 9.78438i | −2.06182 | − | 0.988372i | ||||
\(99\) | 2.68044 | 0.269394 | ||||||||
\(100\) | 0.151754 | + | 9.99885i | 0.0151754 | + | 0.999885i | ||||
\(101\) | −2.30442 | −0.229298 | −0.114649 | − | 0.993406i | \(-0.536574\pi\) | ||||
−0.114649 | + | 0.993406i | \(0.536574\pi\) | |||||||
\(102\) | 0.449718 | + | 0.215580i | 0.0445288 | + | 0.0213456i | ||||
\(103\) | 4.48812 | + | 0.710848i | 0.442227 | + | 0.0700419i | 0.373578 | − | 0.927599i | \(-0.378131\pi\) |
0.0686497 | + | 0.997641i | \(0.478131\pi\) | |||||||
\(104\) | 5.48123 | + | 6.49412i | 0.537479 | + | 0.636801i | ||||
\(105\) | 3.14399 | + | 10.2539i | 0.306822 | + | 1.00068i | ||||
\(106\) | 6.95029 | + | 4.79676i | 0.675072 | + | 0.465902i | ||||
\(107\) | 6.74496 | − | 6.74496i | 0.652060 | − | 0.652060i | −0.301429 | − | 0.953489i | \(-0.597464\pi\) |
0.953489 | + | 0.301429i | \(0.0974636\pi\) | |||||||
\(108\) | −0.408203 | − | 1.95790i | −0.0392793 | − | 0.188399i | ||||
\(109\) | 0.913063 | + | 0.296672i | 0.0874556 | + | 0.0284161i | 0.352418 | − | 0.935843i | \(-0.385360\pi\) |
−0.264962 | + | 0.964259i | \(0.585360\pi\) | |||||||
\(110\) | 7.58141 | + | 3.79073i | 0.722859 | + | 0.361432i | ||||
\(111\) | −8.92785 | + | 2.90083i | −0.847394 | + | 0.275335i | ||||
\(112\) | 10.3236 | + | 16.1713i | 0.975487 | + | 1.52804i | ||||
\(113\) | 0.881591 | + | 1.73022i | 0.0829331 | + | 0.162765i | 0.928749 | − | 0.370710i | \(-0.120886\pi\) |
−0.845816 | + | 0.533475i | \(0.820886\pi\) | |||||||
\(114\) | 0.0496430 | − | 0.0174708i | 0.00464949 | − | 0.00163629i | ||||
\(115\) | −2.82942 | − | 2.92521i | −0.263845 | − | 0.272778i | ||||
\(116\) | 3.06964 | − | 11.2802i | 0.285009 | − | 1.04734i | ||||
\(117\) | −0.470012 | − | 2.96754i | −0.0434526 | − | 0.274349i | ||||
\(118\) | 11.7094 | + | 11.1552i | 1.07794 | + | 1.02692i | ||||
\(119\) | 1.36840 | + | 0.994203i | 0.125441 | + | 0.0911384i | ||||
\(120\) | 1.61434 | − | 6.11506i | 0.147368 | − | 0.558226i | ||||
\(121\) | −3.08661 | + | 2.24255i | −0.280601 | + | 0.203868i | ||||
\(122\) | −5.73725 | − | 0.766690i | −0.519426 | − | 0.0694128i | ||||
\(123\) | −3.14827 | + | 6.17883i | −0.283870 | + | 0.557127i | ||||
\(124\) | 13.2925 | − | 0.644741i | 1.19371 | − | 0.0578994i | ||||
\(125\) | 9.36183 | − | 6.11197i | 0.837347 | − | 0.546671i | ||||
\(126\) | −0.164359 | − | 6.78113i | −0.0146423 | − | 0.604111i | ||||
\(127\) | −14.5964 | − | 7.43723i | −1.29522 | − | 0.659948i | −0.335801 | − | 0.941933i | \(-0.609007\pi\) |
−0.959419 | + | 0.281985i | \(0.909007\pi\) | |||||||
\(128\) | −0.141997 | − | 11.3128i | −0.0125509 | − | 0.999921i | ||||
\(129\) | 3.29439 | + | 4.53433i | 0.290054 | + | 0.399226i | ||||
\(130\) | 2.86737 | − | 9.05815i | 0.251485 | − | 0.794453i | ||||
\(131\) | −6.08229 | + | 8.37156i | −0.531412 | + | 0.731426i | −0.987345 | − | 0.158588i | \(-0.949306\pi\) |
0.455933 | + | 0.890014i | \(0.349306\pi\) | |||||||
\(132\) | −3.96991 | − | 3.60261i | −0.345536 | − | 0.313567i | ||||
\(133\) | 0.176292 | − | 0.0279219i | 0.0152864 | − | 0.00242113i | ||||
\(134\) | 3.64066 | − | 12.2034i | 0.314505 | − | 1.05421i | ||||
\(135\) | −1.60724 | + | 1.55460i | −0.138329 | + | 0.133799i | ||||
\(136\) | −0.376315 | − | 0.923728i | −0.0322687 | − | 0.0792090i | ||||
\(137\) | 6.62679 | − | 3.37652i | 0.566165 | − | 0.288475i | −0.147386 | − | 0.989079i | \(-0.547086\pi\) |
0.713550 | + | 0.700604i | \(0.247086\pi\) | |||||||
\(138\) | 1.22376 | + | 2.26438i | 0.104173 | + | 0.192757i | ||||
\(139\) | −1.52421 | − | 4.69104i | −0.129282 | − | 0.397889i | 0.865375 | − | 0.501125i | \(-0.167080\pi\) |
−0.994657 | + | 0.103236i | \(0.967080\pi\) | |||||||
\(140\) | 9.12515 | − | 19.4123i | 0.771216 | − | 1.64064i | ||||
\(141\) | 3.54579 | − | 10.9128i | 0.298609 | − | 0.919025i | ||||
\(142\) | −22.6996 | + | 4.16143i | −1.90491 | + | 0.349219i | ||||
\(143\) | −5.69465 | − | 5.69465i | −0.476210 | − | 0.476210i | ||||
\(144\) | −2.02692 | + | 3.44842i | −0.168910 | + | 0.287368i | ||||
\(145\) | −12.4960 | + | 3.83147i | −1.03774 | + | 0.318186i | ||||
\(146\) | 5.16551 | − | 3.94768i | 0.427501 | − | 0.326712i | ||||
\(147\) | 2.50379 | − | 15.8083i | 0.206509 | − | 1.30385i | ||||
\(148\) | 17.1216 | + | 7.70304i | 1.40739 | + | 0.633186i | ||||
\(149\) | 4.51885i | 0.370199i | 0.982720 | + | 0.185099i | \(0.0592607\pi\) | ||||
−0.982720 | + | 0.185099i | \(0.940739\pi\) | |||||||
\(150\) | −6.74450 | + | 2.12408i | −0.550686 | + | 0.173431i | ||||
\(151\) | − | 23.1084i | − | 1.88053i | −0.340438 | − | 0.940267i | \(-0.610575\pi\) | ||
0.340438 | − | 0.940267i | \(-0.389425\pi\) | |||||||
\(152\) | −0.0970060 | − | 0.0408466i | −0.00786822 | − | 0.00331310i | ||||
\(153\) | −0.0551663 | + | 0.348307i | −0.00445993 | + | 0.0281589i | ||||
\(154\) | −11.0402 | − | 14.4461i | −0.889647 | − | 1.16410i | ||||
\(155\) | −8.54409 | − | 12.1813i | −0.686277 | − | 0.978422i | ||||
\(156\) | −3.29237 | + | 5.02684i | −0.263600 | + | 0.402469i | ||||
\(157\) | −2.93743 | − | 2.93743i | −0.234433 | − | 0.234433i | 0.580107 | − | 0.814540i | \(-0.303011\pi\) |
−0.814540 | + | 0.580107i | \(0.803011\pi\) | |||||||
\(158\) | 0.413509 | + | 2.25560i | 0.0328970 | + | 0.179446i | ||||
\(159\) | −1.84527 | + | 5.67915i | −0.146339 | + | 0.450386i | ||||
\(160\) | −10.6098 | + | 6.88708i | −0.838779 | + | 0.544471i | ||||
\(161\) | 2.69758 | + | 8.30231i | 0.212599 | + | 0.654314i | ||||
\(162\) | 1.24415 | − | 0.672383i | 0.0977494 | − | 0.0528274i | ||||
\(163\) | 16.0221 | − | 8.16368i | 1.25495 | − | 0.639429i | 0.305155 | − | 0.952303i | \(-0.401292\pi\) |
0.949795 | + | 0.312874i | \(0.101292\pi\) | |||||||
\(164\) | 12.9674 | − | 4.91987i | 1.01258 | − | 0.384177i | ||||
\(165\) | −1.03601 | + | 5.90342i | −0.0806535 | + | 0.459581i | ||||
\(166\) | 8.46525 | + | 2.52546i | 0.657031 | + | 0.196014i | ||||
\(167\) | −10.4908 | + | 1.66158i | −0.811801 | + | 0.128577i | −0.548515 | − | 0.836141i | \(-0.684807\pi\) |
−0.263287 | + | 0.964718i | \(0.584807\pi\) | |||||||
\(168\) | −8.87067 | + | 10.2642i | −0.684387 | + | 0.791901i | ||||
\(169\) | 2.33516 | − | 3.21407i | 0.179627 | − | 0.247236i | ||||
\(170\) | −0.648617 | + | 0.907141i | −0.0497466 | + | 0.0695745i | ||||
\(171\) | 0.0218734 | + | 0.0301061i | 0.00167270 | + | 0.00230227i | ||||
\(172\) | 1.21511 | − | 11.1434i | 0.0926513 | − | 0.849679i | ||||
\(173\) | −4.09233 | − | 2.08515i | −0.311134 | − | 0.158531i | 0.291450 | − | 0.956586i | \(-0.405862\pi\) |
−0.602584 | + | 0.798055i | \(0.705862\pi\) | |||||||
\(174\) | 8.26391 | − | 0.200298i | 0.626486 | − | 0.0151846i | ||||
\(175\) | −23.7984 | + | 2.96114i | −1.79899 | + | 0.223841i | ||||
\(176\) | 1.03765 | + | 10.6714i | 0.0782160 | + | 0.804388i | ||||
\(177\) | −5.19167 | + | 10.1892i | −0.390230 | + | 0.765870i | ||||
\(178\) | −2.61493 | + | 19.5679i | −0.195998 | + | 1.46668i | ||||
\(179\) | 9.71609 | − | 7.05915i | 0.726214 | − | 0.527626i | −0.162149 | − | 0.986766i | \(-0.551843\pi\) |
0.888364 | + | 0.459141i | \(0.151843\pi\) | |||||||
\(180\) | 4.46987 | − | 0.142284i | 0.333165 | − | 0.0106052i | ||||
\(181\) | −15.7632 | − | 11.4527i | −1.17167 | − | 0.851269i | −0.180463 | − | 0.983582i | \(-0.557760\pi\) |
−0.991208 | + | 0.132313i | \(0.957760\pi\) | |||||||
\(182\) | −14.0575 | + | 14.7559i | −1.04201 | + | 1.09378i | ||||
\(183\) | −0.640272 | − | 4.04252i | −0.0473303 | − | 0.298832i | ||||
\(184\) | 1.23095 | − | 4.99848i | 0.0907468 | − | 0.368492i | ||||
\(185\) | −2.93813 | − | 20.7840i | −0.216016 | − | 1.52807i | ||||
\(186\) | 3.12395 | + | 8.87664i | 0.229059 | + | 0.650867i | ||||
\(187\) | 0.429135 | + | 0.842225i | 0.0313815 | + | 0.0615896i | ||||
\(188\) | −19.9188 | + | 11.3969i | −1.45273 | + | 0.831207i | ||||
\(189\) | 4.56164 | − | 1.48217i | 0.331810 | − | 0.107812i | ||||
\(190\) | 0.0192904 | + | 0.116087i | 0.00139947 | + | 0.00842182i | ||||
\(191\) | −7.51089 | − | 2.44043i | −0.543469 | − | 0.176584i | 0.0244009 | − | 0.999702i | \(-0.492232\pi\) |
−0.567870 | + | 0.823119i | \(0.692232\pi\) | |||||||
\(192\) | 7.63681 | − | 2.38309i | 0.551139 | − | 0.171985i | ||||
\(193\) | 12.4322 | − | 12.4322i | 0.894893 | − | 0.894893i | −0.100086 | − | 0.994979i | \(-0.531912\pi\) |
0.994979 | + | 0.100086i | \(0.0319118\pi\) | |||||||
\(194\) | 7.23632 | − | 10.4851i | 0.519537 | − | 0.752788i | ||||
\(195\) | 6.71740 | + | 0.111821i | 0.481043 | + | 0.00800770i | ||||
\(196\) | −24.9553 | + | 20.0480i | −1.78252 | + | 1.43200i | ||||
\(197\) | −5.51782 | − | 0.873937i | −0.393128 | − | 0.0622654i | −0.0432589 | − | 0.999064i | \(-0.513774\pi\) |
−0.349869 | + | 0.936798i | \(0.613774\pi\) | |||||||
\(198\) | 1.63860 | − | 3.41826i | 0.116450 | − | 0.242925i | ||||
\(199\) | 18.0700 | 1.28095 | 0.640476 | − | 0.767978i | \(-0.278737\pi\) | ||||
0.640476 | + | 0.767978i | \(0.278737\pi\) | |||||||
\(200\) | 12.8439 | + | 5.91896i | 0.908201 | + | 0.418533i | ||||
\(201\) | 9.00490 | 0.635157 | ||||||||
\(202\) | −1.40873 | + | 2.93873i | −0.0991181 | + | 0.206768i | ||||
\(203\) | 27.6906 | + | 4.38576i | 1.94350 | + | 0.307820i | ||||
\(204\) | 0.549842 | − | 0.441720i | 0.0384967 | − | 0.0309266i | ||||
\(205\) | −12.3915 | − | 9.32197i | −0.865459 | − | 0.651074i | ||||
\(206\) | 3.65019 | − | 5.28896i | 0.254321 | − | 0.368500i | ||||
\(207\) | −1.28695 | + | 1.28695i | −0.0894495 | + | 0.0894495i | ||||
\(208\) | 11.6325 | − | 3.02002i | 0.806567 | − | 0.209401i | ||||
\(209\) | 0.0948657 | + | 0.0308237i | 0.00656200 | + | 0.00213212i | ||||
\(210\) | 14.9984 | + | 2.25898i | 1.03499 | + | 0.155885i | ||||
\(211\) | 7.52169 | − | 2.44395i | 0.517815 | − | 0.168248i | −0.0384386 | − | 0.999261i | \(-0.512238\pi\) |
0.556253 | + | 0.831013i | \(0.312238\pi\) | |||||||
\(212\) | 10.3660 | − | 5.93109i | 0.711937 | − | 0.407349i | ||||
\(213\) | −7.40847 | − | 14.5399i | −0.507620 | − | 0.996260i | ||||
\(214\) | −4.47826 | − | 12.7249i | −0.306127 | − | 0.869856i | ||||
\(215\) | −11.2598 | + | 5.50303i | −0.767910 | + | 0.375303i | ||||
\(216\) | −2.74637 | − | 0.676336i | −0.186867 | − | 0.0460188i | ||||
\(217\) | 4.99270 | + | 31.5227i | 0.338927 | + | 2.13990i | ||||
\(218\) | 0.936507 | − | 0.983032i | 0.0634283 | − | 0.0665794i | ||||
\(219\) | 3.71913 | + | 2.70211i | 0.251316 | + | 0.182592i | ||||
\(220\) | 9.46883 | − | 7.35092i | 0.638388 | − | 0.495599i | ||||
\(221\) | 0.857187 | − | 0.622783i | 0.0576607 | − | 0.0418929i | ||||
\(222\) | −1.75844 | + | 13.1587i | −0.118019 | + | 0.883152i | ||||
\(223\) | −9.58505 | + | 18.8117i | −0.641862 | + | 1.25973i | 0.309280 | + | 0.950971i | \(0.399912\pi\) |
−0.951142 | + | 0.308754i | \(0.900088\pi\) | |||||||
\(224\) | 26.9336 | − | 3.27947i | 1.79957 | − | 0.219119i | ||||
\(225\) | −2.80266 | − | 4.14066i | −0.186844 | − | 0.276044i | ||||
\(226\) | 2.74541 | − | 0.0665426i | 0.182622 | − | 0.00442634i | ||||
\(227\) | 3.75568 | + | 1.91361i | 0.249273 | + | 0.127011i | 0.574163 | − | 0.818741i | \(-0.305327\pi\) |
−0.324890 | + | 0.945752i | \(0.605327\pi\) | |||||||
\(228\) | 0.00806785 | − | 0.0739879i | 0.000534306 | − | 0.00489997i | ||||
\(229\) | 9.56819 | + | 13.1695i | 0.632284 | + | 0.870264i | 0.998175 | − | 0.0603935i | \(-0.0192355\pi\) |
−0.365891 | + | 0.930658i | \(0.619236\pi\) | |||||||
\(230\) | −5.46009 | + | 1.82001i | −0.360028 | + | 0.120008i | ||||
\(231\) | 7.55682 | − | 10.4011i | 0.497202 | − | 0.684340i | ||||
\(232\) | −12.5086 | − | 10.8104i | −0.821231 | − | 0.709735i | ||||
\(233\) | −3.96847 | + | 0.628543i | −0.259983 | + | 0.0411772i | −0.285065 | − | 0.958508i | \(-0.592015\pi\) |
0.0250823 | + | 0.999685i | \(0.492015\pi\) | |||||||
\(234\) | −4.07171 | − | 1.21472i | −0.266176 | − | 0.0794090i | ||||
\(235\) | 22.6640 | + | 12.0272i | 1.47844 | + | 0.784567i | ||||
\(236\) | 21.3839 | − | 8.11313i | 1.39198 | − | 0.528120i | ||||
\(237\) | −1.44479 | + | 0.736158i | −0.0938493 | + | 0.0478186i | ||||
\(238\) | 2.10440 | − | 1.13730i | 0.136408 | − | 0.0737199i | ||||
\(239\) | −0.935034 | − | 2.87774i | −0.0604823 | − | 0.186145i | 0.916250 | − | 0.400606i | \(-0.131201\pi\) |
−0.976733 | + | 0.214461i | \(0.931201\pi\) | |||||||
\(240\) | −6.81142 | − | 5.79695i | −0.439675 | − | 0.374191i | ||||
\(241\) | −5.19805 | + | 15.9980i | −0.334836 | + | 1.03052i | 0.631967 | + | 0.774995i | \(0.282248\pi\) |
−0.966803 | + | 0.255524i | \(0.917752\pi\) | |||||||
\(242\) | 0.972938 | + | 5.30715i | 0.0625428 | + | 0.341156i | ||||
\(243\) | 0.707107 | + | 0.707107i | 0.0453609 | + | 0.0453609i | ||||
\(244\) | −4.48502 | + | 6.84780i | −0.287124 | + | 0.438385i | ||||
\(245\) | 33.8487 | + | 11.6244i | 2.16251 | + | 0.742658i | ||||
\(246\) | 5.95503 | + | 7.79211i | 0.379679 | + | 0.496807i | ||||
\(247\) | 0.0174907 | − | 0.110432i | 0.00111290 | − | 0.00702660i | ||||
\(248\) | 7.30377 | − | 17.3456i | 0.463790 | − | 1.10145i | ||||
\(249\) | 6.24653i | 0.395858i | ||||||||
\(250\) | −2.07129 | − | 15.6751i | −0.131000 | − | 0.991382i | ||||
\(251\) | 5.01058i | 0.316265i | 0.987418 | + | 0.158132i | \(0.0505473\pi\) | ||||
−0.987418 | + | 0.158132i | \(0.949453\pi\) | |||||||
\(252\) | −8.74818 | − | 3.93583i | −0.551084 | − | 0.247934i | ||||
\(253\) | −0.763160 | + | 4.81841i | −0.0479795 | + | 0.302931i | ||||
\(254\) | −18.4075 | + | 14.0677i | −1.15499 | + | 0.882685i | ||||
\(255\) | −0.745792 | − | 0.256123i | −0.0467033 | − | 0.0160390i | ||||
\(256\) | −14.5136 | − | 6.73465i | −0.907100 | − | 0.420916i | ||||
\(257\) | −8.87423 | − | 8.87423i | −0.553559 | − | 0.553559i | 0.373907 | − | 0.927466i | \(-0.378018\pi\) |
−0.927466 | + | 0.373907i | \(0.878018\pi\) | |||||||
\(258\) | 7.79637 | − | 1.42928i | 0.485381 | − | 0.0889829i | ||||
\(259\) | −13.9135 | + | 42.8215i | −0.864545 | + | 2.66080i | ||||
\(260\) | −9.79863 | − | 9.19406i | −0.607685 | − | 0.570191i | ||||
\(261\) | 1.80626 | + | 5.55910i | 0.111805 | + | 0.344100i | ||||
\(262\) | 6.95770 | + | 12.8742i | 0.429848 | + | 0.795370i | ||||
\(263\) | 13.9737 | − | 7.11993i | 0.861652 | − | 0.439034i | 0.0334351 | − | 0.999441i | \(-0.489355\pi\) |
0.828217 | + | 0.560407i | \(0.189355\pi\) | |||||||
\(264\) | −7.02114 | + | 2.86032i | −0.432122 | + | 0.176041i | ||||
\(265\) | −11.7946 | − | 6.25908i | −0.724537 | − | 0.384492i | ||||
\(266\) | 0.0721628 | − | 0.241887i | 0.00442459 | − | 0.0148311i | ||||
\(267\) | −13.7877 | + | 2.18376i | −0.843796 | + | 0.133644i | ||||
\(268\) | −13.3369 | − | 12.1029i | −0.814679 | − | 0.739305i | ||||
\(269\) | −6.69890 | + | 9.22024i | −0.408439 | + | 0.562168i | −0.962837 | − | 0.270084i | \(-0.912949\pi\) |
0.554398 | + | 0.832252i | \(0.312949\pi\) | |||||||
\(270\) | 0.999990 | + | 3.00000i | 0.0608575 | + | 0.182574i | ||||
\(271\) | 14.5904 | + | 20.0820i | 0.886305 | + | 1.21989i | 0.974635 | + | 0.223802i | \(0.0718470\pi\) |
−0.0883300 | + | 0.996091i | \(0.528153\pi\) | |||||||
\(272\) | −1.40804 | − | 0.0847928i | −0.0853751 | − | 0.00514132i | ||||
\(273\) | −12.8402 | − | 6.54241i | −0.777124 | − | 0.395965i | ||||
\(274\) | −0.254860 | − | 10.5150i | −0.0153966 | − | 0.635235i | ||||
\(275\) | −12.6013 | − | 4.56345i | −0.759889 | − | 0.275186i | ||||
\(276\) | 3.63578 | − | 0.176350i | 0.218848 | − | 0.0106150i | ||||
\(277\) | −6.27732 | + | 12.3199i | −0.377168 | + | 0.740233i | −0.999081 | − | 0.0428524i | \(-0.986355\pi\) |
0.621914 | + | 0.783086i | \(0.286355\pi\) | |||||||
\(278\) | −6.91408 | − | 0.923955i | −0.414679 | − | 0.0554151i | ||||
\(279\) | −5.38327 | + | 3.91117i | −0.322288 | + | 0.234156i | ||||
\(280\) | −19.1774 | − | 23.5041i | −1.14607 | − | 1.40464i | ||||
\(281\) | −0.275686 | − | 0.200297i | −0.0164460 | − | 0.0119487i | 0.579532 | − | 0.814950i | \(-0.303235\pi\) |
−0.595978 | + | 0.803001i | \(0.703235\pi\) | |||||||
\(282\) | −11.7491 | − | 11.1930i | −0.699648 | − | 0.666534i | ||||
\(283\) | −1.04683 | − | 6.60944i | −0.0622278 | − | 0.392891i | −0.999069 | − | 0.0431363i | \(-0.986265\pi\) |
0.936841 | − | 0.349754i | \(-0.113735\pi\) | |||||||
\(284\) | −8.56980 | + | 31.4919i | −0.508524 | + | 1.86870i | ||||
\(285\) | −0.0747604 | + | 0.0365379i | −0.00442842 | + | 0.00216432i | ||||
\(286\) | −10.7434 | + | 3.78092i | −0.635271 | + | 0.223570i | ||||
\(287\) | 15.1004 | + | 29.6361i | 0.891346 | + | 1.74936i | ||||
\(288\) | 3.15854 | + | 4.69293i | 0.186119 | + | 0.276534i | ||||
\(289\) | 16.0497 | − | 5.21486i | 0.944099 | − | 0.306756i | ||||
\(290\) | −2.75294 | + | 18.2779i | −0.161658 | + | 1.07332i | ||||
\(291\) | 8.56748 | + | 2.78374i | 0.502235 | + | 0.163186i | ||||
\(292\) | −1.87655 | − | 9.00066i | −0.109817 | − | 0.526724i | ||||
\(293\) | 8.69276 | − | 8.69276i | 0.507837 | − | 0.507837i | −0.406025 | − | 0.913862i | \(-0.633086\pi\) |
0.913862 | + | 0.406025i | \(0.133086\pi\) | |||||||
\(294\) | −18.6291 | − | 12.8569i | −1.08647 | − | 0.749830i | ||||
\(295\) | −20.4342 | − | 15.3724i | −1.18973 | − | 0.895017i | ||||
\(296\) | 20.2901 | − | 17.1255i | 1.17934 | − | 0.995397i | ||||
\(297\) | 2.64744 | + | 0.419313i | 0.153620 | + | 0.0243310i | ||||
\(298\) | 5.76272 | + | 2.76246i | 0.333825 | + | 0.160025i | ||||
\(299\) | 5.46832 | 0.316241 | ||||||||
\(300\) | −1.41428 | + | 9.89949i | −0.0816534 | + | 0.571547i | ||||
\(301\) | 26.8825 | 1.54948 | ||||||||
\(302\) | −29.4692 | − | 14.1266i | −1.69576 | − | 0.812894i | ||||
\(303\) | −2.27604 | − | 0.360490i | −0.130755 | − | 0.0207096i | ||||
\(304\) | −0.111392 | + | 0.0987376i | −0.00638875 | + | 0.00566299i | ||||
\(305\) | 9.15076 | + | 0.152328i | 0.523971 | + | 0.00872230i | ||||
\(306\) | 0.410457 | + | 0.283278i | 0.0234643 | + | 0.0161939i | ||||
\(307\) | −8.92000 | + | 8.92000i | −0.509091 | + | 0.509091i | −0.914248 | − | 0.405156i | \(-0.867217\pi\) |
0.405156 | + | 0.914248i | \(0.367217\pi\) | |||||||
\(308\) | −25.1716 | + | 5.24803i | −1.43428 | + | 0.299034i | ||||
\(309\) | 4.32166 | + | 1.40419i | 0.245851 | + | 0.0798817i | ||||
\(310\) | −20.7574 | + | 3.44931i | −1.17894 | + | 0.195908i | ||||
\(311\) | 2.46111 | − | 0.799664i | 0.139557 | − | 0.0453448i | −0.238406 | − | 0.971166i | \(-0.576625\pi\) |
0.377963 | + | 0.925821i | \(0.376625\pi\) | |||||||
\(312\) | 4.39784 | + | 7.27162i | 0.248979 | + | 0.411675i | ||||
\(313\) | −3.76802 | − | 7.39517i | −0.212981 | − | 0.417999i | 0.759657 | − | 0.650324i | \(-0.225367\pi\) |
−0.972638 | + | 0.232325i | \(0.925367\pi\) | |||||||
\(314\) | −5.54170 | + | 1.95029i | −0.312736 | + | 0.110061i | ||||
\(315\) | 1.50122 | + | 10.6195i | 0.0845844 | + | 0.598339i | ||||
\(316\) | 3.12926 | + | 0.851556i | 0.176035 | + | 0.0479038i | ||||
\(317\) | −4.41319 | − | 27.8638i | −0.247869 | − | 1.56498i | −0.726624 | − | 0.687036i | \(-0.758912\pi\) |
0.478754 | − | 0.877949i | \(-0.341088\pi\) | |||||||
\(318\) | 6.11435 | + | 5.82497i | 0.342876 | + | 0.326648i | ||||
\(319\) | 12.6754 | + | 9.20921i | 0.709686 | + | 0.515617i | ||||
\(320\) | 2.29684 | + | 17.7405i | 0.128397 | + | 0.991723i | ||||
\(321\) | 7.71706 | − | 5.60677i | 0.430724 | − | 0.312939i | ||||
\(322\) | 12.2367 | + | 1.63523i | 0.681924 | + | 0.0911280i | ||||
\(323\) | −0.00595780 | + | 0.0116928i | −0.000331501 | + | 0.000650607i | ||||
\(324\) | −0.0968940 | − | 1.99765i | −0.00538300 | − | 0.110981i | ||||
\(325\) | −2.84261 | + | 14.7513i | −0.157680 | + | 0.818252i | ||||
\(326\) | −0.616196 | − | 25.4230i | −0.0341279 | − | 1.40805i | ||||
\(327\) | 0.855412 | + | 0.435854i | 0.0473044 | + | 0.0241028i | ||||
\(328\) | 1.65310 | − | 19.5444i | 0.0912770 | − | 1.07916i | ||||
\(329\) | −32.3492 | − | 44.5249i | −1.78347 | − | 2.45474i | ||||
\(330\) | 6.89507 | + | 4.93006i | 0.379561 | + | 0.271391i | ||||
\(331\) | 1.20304 | − | 1.65584i | 0.0661251 | − | 0.0910134i | −0.774674 | − | 0.632361i | \(-0.782086\pi\) |
0.840799 | + | 0.541348i | \(0.182086\pi\) | |||||||
\(332\) | 8.39558 | − | 9.25154i | 0.460768 | − | 0.507744i | ||||
\(333\) | −9.27172 | + | 1.46850i | −0.508087 | + | 0.0804731i | ||||
\(334\) | −4.29427 | + | 14.3942i | −0.234972 | + | 0.787618i | ||||
\(335\) | −3.48048 | + | 19.8325i | −0.190159 | + | 1.08356i | ||||
\(336\) | 7.66674 | + | 17.5871i | 0.418255 | + | 0.959456i | ||||
\(337\) | 11.0019 | − | 5.60576i | 0.599313 | − | 0.305365i | −0.127890 | − | 0.991788i | \(-0.540820\pi\) |
0.727202 | + | 0.686423i | \(0.240820\pi\) | |||||||
\(338\) | −2.67125 | − | 4.94275i | −0.145297 | − | 0.268850i | ||||
\(339\) | 0.600071 | + | 1.84683i | 0.0325914 | + | 0.100306i | ||||
\(340\) | 0.760329 | + | 1.38171i | 0.0412346 | + | 0.0749336i | ||||
\(341\) | −5.51158 | + | 16.9629i | −0.298469 | + | 0.918593i | ||||
\(342\) | 0.0517648 | − | 0.00948983i | 0.00279912 | − | 0.000513151i | ||||
\(343\) | −30.5423 | − | 30.5423i | −1.64913 | − | 1.64913i | ||||
\(344\) | −13.4680 | − | 8.36177i | −0.726144 | − | 0.450836i | ||||
\(345\) | −2.33698 | − | 3.33182i | −0.125819 | − | 0.179379i | ||||
\(346\) | −5.16082 | + | 3.94410i | −0.277448 | + | 0.212036i | ||||
\(347\) | 2.22959 | − | 14.0770i | 0.119690 | − | 0.755695i | −0.852711 | − | 0.522382i | \(-0.825043\pi\) |
0.972402 | − | 0.233313i | \(-0.0749567\pi\) | |||||||
\(348\) | 4.79645 | − | 10.6611i | 0.257117 | − | 0.571494i | ||||
\(349\) | 18.7834i | 1.00545i | 0.864445 | + | 0.502727i | \(0.167670\pi\) | ||||
−0.864445 | + | 0.502727i | \(0.832330\pi\) | |||||||
\(350\) | −10.7722 | + | 32.1594i | −0.575799 | + | 1.71899i | ||||
\(351\) | − | 3.00453i | − | 0.160370i | ||||||
\(352\) | 14.2432 | + | 5.20036i | 0.759164 | + | 0.277180i | ||||
\(353\) | −1.30877 | + | 8.26323i | −0.0696586 | + | 0.439807i | 0.928068 | + | 0.372412i | \(0.121469\pi\) |
−0.997726 | + | 0.0673957i | \(0.978531\pi\) | |||||||
\(354\) | 9.82016 | + | 12.8496i | 0.521936 | + | 0.682949i | ||||
\(355\) | 34.8863 | − | 10.6967i | 1.85158 | − | 0.567720i | ||||
\(356\) | 23.3556 | + | 15.2970i | 1.23785 | + | 0.810737i | ||||
\(357\) | 1.19603 | + | 1.19603i | 0.0633005 | + | 0.0633005i | ||||
\(358\) | −3.06263 | − | 16.7059i | −0.161865 | − | 0.882936i | ||||
\(359\) | −6.27998 | + | 19.3278i | −0.331445 | + | 1.02008i | 0.637002 | + | 0.770862i | \(0.280174\pi\) |
−0.968447 | + | 0.249220i | \(0.919826\pi\) | |||||||
\(360\) | 2.55107 | − | 5.78723i | 0.134453 | − | 0.305014i | ||||
\(361\) | −5.87089 | − | 18.0688i | −0.308994 | − | 0.950987i | ||||
\(362\) | −24.2415 | + | 13.1010i | −1.27410 | + | 0.688573i | ||||
\(363\) | −3.39942 | + | 1.73209i | −0.178423 | + | 0.0909112i | ||||
\(364\) | 10.2240 | + | 26.9475i | 0.535881 | + | 1.41243i | ||||
\(365\) | −7.38863 | + | 7.14667i | −0.386738 | + | 0.374074i | ||||
\(366\) | −5.54668 | − | 1.65475i | −0.289929 | − | 0.0864954i | ||||
\(367\) | 29.5302 | − | 4.67713i | 1.54147 | − | 0.244144i | 0.672905 | − | 0.739729i | \(-0.265046\pi\) |
0.868560 | + | 0.495584i | \(0.165046\pi\) | |||||||
\(368\) | −5.62186 | − | 4.62544i | −0.293059 | − | 0.241118i | ||||
\(369\) | −4.07610 | + | 5.61026i | −0.212193 | + | 0.292059i | ||||
\(370\) | −28.3011 | − | 8.95876i | −1.47131 | − | 0.465744i | ||||
\(371\) | 16.8349 | + | 23.1712i | 0.874024 | + | 1.20299i | ||||
\(372\) | 13.2298 | + | 1.44261i | 0.685931 | + | 0.0747958i | ||||
\(373\) | 22.6709 | + | 11.5514i | 1.17386 | + | 0.598110i | 0.928504 | − | 0.371324i | \(-0.121096\pi\) |
0.245354 | + | 0.969434i | \(0.421096\pi\) | |||||||
\(374\) | 1.33639 | − | 0.0323912i | 0.0691033 | − | 0.00167491i | ||||
\(375\) | 10.2027 | − | 4.57221i | 0.526865 | − | 0.236108i | ||||
\(376\) | 2.35733 | + | 32.3688i | 0.121570 | + | 1.66929i | ||||
\(377\) | 7.97299 | − | 15.6479i | 0.410630 | − | 0.805907i | ||||
\(378\) | 0.898467 | − | 6.72336i | 0.0462122 | − | 0.345812i | ||||
\(379\) | 7.12172 | − | 5.17423i | 0.365818 | − | 0.265783i | −0.389656 | − | 0.920960i | \(-0.627406\pi\) |
0.755475 | + | 0.655178i | \(0.227406\pi\) | |||||||
\(380\) | 0.159833 | + | 0.0463657i | 0.00819928 | + | 0.00237851i | ||||
\(381\) | −13.2532 | − | 9.62905i | −0.678984 | − | 0.493311i | ||||
\(382\) | −7.70374 | + | 8.08645i | −0.394157 | + | 0.413739i | ||||
\(383\) | −2.70392 | − | 17.0719i | −0.138164 | − | 0.872332i | −0.955246 | − | 0.295811i | \(-0.904410\pi\) |
0.817083 | − | 0.576521i | \(-0.195590\pi\) | |||||||
\(384\) | 1.62947 | − | 11.1958i | 0.0831533 | − | 0.571331i | ||||
\(385\) | 19.9866 | + | 20.6633i | 1.01861 | + | 1.05310i | ||||
\(386\) | −8.25429 | − | 23.4544i | −0.420132 | − | 1.19380i | ||||
\(387\) | 2.54450 | + | 4.99386i | 0.129344 | + | 0.253852i | ||||
\(388\) | −8.94756 | − | 15.6379i | −0.454244 | − | 0.793896i | ||||
\(389\) | −1.60757 | + | 0.522332i | −0.0815072 | + | 0.0264833i | −0.349487 | − | 0.936941i | \(-0.613644\pi\) |
0.267980 | + | 0.963425i | \(0.413644\pi\) | |||||||
\(390\) | 4.24907 | − | 8.49808i | 0.215160 | − | 0.430317i | ||||
\(391\) | −0.610416 | − | 0.198336i | −0.0308701 | − | 0.0100303i | ||||
\(392\) | 10.3108 | + | 44.0802i | 0.520774 | + | 2.22639i | ||||
\(393\) | −7.31701 | + | 7.31701i | −0.369094 | + | 0.369094i | ||||
\(394\) | −4.48764 | + | 6.50240i | −0.226084 | + | 0.327586i | ||||
\(395\) | −1.06290 | − | 3.46655i | −0.0534801 | − | 0.174421i | ||||
\(396\) | −3.35746 | − | 4.17929i | −0.168719 | − | 0.210017i | ||||
\(397\) | 24.6975 | + | 3.91170i | 1.23953 | + | 0.196322i | 0.741569 | − | 0.670876i | \(-0.234082\pi\) |
0.497962 | + | 0.867199i | \(0.334082\pi\) | |||||||
\(398\) | 11.0466 | − | 23.0440i | 0.553714 | − | 1.15509i | ||||
\(399\) | 0.178489 | 0.00893564 | ||||||||
\(400\) | 15.3999 | − | 12.7610i | 0.769997 | − | 0.638048i | ||||
\(401\) | −34.9493 | −1.74529 | −0.872644 | − | 0.488358i | \(-0.837596\pi\) | ||||
−0.872644 | + | 0.488358i | \(0.837596\pi\) | |||||||
\(402\) | 5.50487 | − | 11.4836i | 0.274558 | − | 0.572750i | ||||
\(403\) | 19.7463 | + | 3.12750i | 0.983631 | + | 0.155792i | ||||
\(404\) | 2.88646 | + | 3.59300i | 0.143607 | + | 0.178759i | ||||
\(405\) | −1.83064 | + | 1.28404i | −0.0909654 | + | 0.0638043i | ||||
\(406\) | 22.5208 | − | 32.6317i | 1.11769 | − | 1.61948i | ||||
\(407\) | −17.7923 | + | 17.7923i | −0.881930 | + | 0.881930i | ||||
\(408\) | −0.227179 | − | 0.971224i | −0.0112470 | − | 0.0480828i | ||||
\(409\) | −9.56258 | − | 3.10707i | −0.472839 | − | 0.153635i | 0.0628973 | − | 0.998020i | \(-0.479966\pi\) |
−0.535736 | + | 0.844385i | \(0.679966\pi\) | |||||||
\(410\) | −19.4631 | + | 10.1037i | −0.961213 | + | 0.498986i | ||||
\(411\) | 7.07340 | − | 2.29829i | 0.348905 | − | 0.113366i | ||||
\(412\) | −4.51338 | − | 7.88818i | −0.222358 | − | 0.388623i | ||||
\(413\) | 24.9013 | + | 48.8716i | 1.22531 | + | 2.40481i | ||||
\(414\) | 0.854462 | + | 2.42794i | 0.0419945 | + | 0.119327i | ||||
\(415\) | −13.7574 | − | 2.41434i | −0.675326 | − | 0.118515i | ||||
\(416\) | 3.25984 | − | 16.6806i | 0.159827 | − | 0.817835i | ||||
\(417\) | −0.771606 | − | 4.87173i | −0.0377857 | − | 0.238570i | ||||
\(418\) | 0.0973015 | − | 0.102135i | 0.00475917 | − | 0.00499561i | ||||
\(419\) | −8.26609 | − | 6.00566i | −0.403825 | − | 0.293396i | 0.367272 | − | 0.930113i | \(-0.380292\pi\) |
−0.771097 | + | 0.636718i | \(0.780292\pi\) | |||||||
\(420\) | 12.0496 | − | 17.7459i | 0.587959 | − | 0.865909i | ||||
\(421\) | −20.6955 | + | 15.0362i | −1.00864 | + | 0.732817i | −0.963923 | − | 0.266182i | \(-0.914238\pi\) |
−0.0447139 | + | 0.999000i | \(0.514238\pi\) | |||||||
\(422\) | 1.48148 | − | 11.0861i | 0.0721175 | − | 0.539665i | ||||
\(423\) | 5.20928 | − | 10.2238i | 0.253284 | − | 0.497097i | ||||
\(424\) | −1.22678 | − | 16.8451i | −0.0595778 | − | 0.818070i | ||||
\(425\) | 0.852342 | − | 1.54355i | 0.0413447 | − | 0.0748729i | ||||
\(426\) | −23.0711 | + | 0.559192i | −1.11780 | + | 0.0270929i | ||||
\(427\) | −17.4915 | − | 8.91238i | −0.846474 | − | 0.431300i | ||||
\(428\) | −18.9652 | − | 2.06802i | −0.916718 | − | 0.0999615i | ||||
\(429\) | −4.73370 | − | 6.51538i | −0.228545 | − | 0.314565i | ||||
\(430\) | 0.134486 | + | 17.7232i | 0.00648551 | + | 0.854691i | ||||
\(431\) | 17.6050 | − | 24.2312i | 0.848003 | − | 1.16718i | −0.136296 | − | 0.990668i | \(-0.543520\pi\) |
0.984299 | − | 0.176508i | \(-0.0564801\pi\) | |||||||
\(432\) | −2.54141 | + | 3.08889i | −0.122274 | + | 0.148614i | ||||
\(433\) | −18.5450 | + | 2.93724i | −0.891215 | + | 0.141155i | −0.585216 | − | 0.810877i | \(-0.698990\pi\) |
−0.305999 | + | 0.952032i | \(0.598990\pi\) | |||||||
\(434\) | 43.2517 | + | 12.9034i | 2.07615 | + | 0.619383i | ||||
\(435\) | −12.9416 | + | 1.82949i | −0.620500 | + | 0.0877171i | ||||
\(436\) | −0.681118 | − | 1.79524i | −0.0326196 | − | 0.0859762i | ||||
\(437\) | −0.0603471 | + | 0.0307484i | −0.00288679 | + | 0.00147089i | ||||
\(438\) | 5.71947 | − | 3.09101i | 0.273287 | − | 0.147694i | ||||
\(439\) | −10.6931 | − | 32.9099i | −0.510353 | − | 1.57070i | −0.791582 | − | 0.611063i | \(-0.790742\pi\) |
0.281229 | − | 0.959641i | \(-0.409258\pi\) | |||||||
\(440\) | −3.58587 | − | 16.5690i | −0.170950 | − | 0.789895i | ||||
\(441\) | 4.94593 | − | 15.2220i | 0.235521 | − | 0.724858i | ||||
\(442\) | −0.270196 | − | 1.47386i | −0.0128519 | − | 0.0701042i | ||||
\(443\) | −16.6791 | − | 16.6791i | −0.792447 | − | 0.792447i | 0.189445 | − | 0.981891i | \(-0.439331\pi\) |
−0.981891 | + | 0.189445i | \(0.939331\pi\) | |||||||
\(444\) | 15.7058 | + | 10.2866i | 0.745363 | + | 0.488181i | ||||
\(445\) | 0.519543 | − | 31.2103i | 0.0246287 | − | 1.47951i | ||||
\(446\) | 18.1303 | + | 23.7234i | 0.858495 | + | 1.12333i | ||||
\(447\) | −0.706904 | + | 4.46322i | −0.0334354 | + | 0.211103i | ||||
\(448\) | 12.2828 | − | 36.3521i | 0.580309 | − | 1.71748i | ||||
\(449\) | 17.2460i | 0.813887i | 0.913453 | + | 0.406943i | \(0.133405\pi\) | ||||
−0.913453 | + | 0.406943i | \(0.866595\pi\) | |||||||
\(450\) | −6.99374 | + | 1.04286i | −0.329688 | + | 0.0491609i | ||||
\(451\) | 18.5879i | 0.875272i | ||||||||
\(452\) | 1.59346 | − | 3.54180i | 0.0749502 | − | 0.166592i | ||||
\(453\) | 3.61495 | − | 22.8239i | 0.169845 | − | 1.07236i | ||||
\(454\) | 4.73627 | − | 3.61964i | 0.222284 | − | 0.169878i | ||||
\(455\) | 19.3719 | − | 25.7507i | 0.908170 | − | 1.20721i | ||||
\(456\) | −0.0894218 | − | 0.0555188i | −0.00418756 | − | 0.00259991i | ||||
\(457\) | 14.6247 | + | 14.6247i | 0.684114 | + | 0.684114i | 0.960925 | − | 0.276811i | \(-0.0892774\pi\) |
−0.276811 | + | 0.960925i | \(0.589277\pi\) | |||||||
\(458\) | 22.6437 | − | 4.15119i | 1.05807 | − | 0.193972i | ||||
\(459\) | −0.108974 | + | 0.335388i | −0.00508648 | + | 0.0156546i | ||||
\(460\) | −1.01687 | + | 8.07564i | −0.0474117 | + | 0.376529i | ||||
\(461\) | 2.25667 | + | 6.94532i | 0.105104 | + | 0.323476i | 0.989755 | − | 0.142778i | \(-0.0456034\pi\) |
−0.884651 | + | 0.466254i | \(0.845603\pi\) | |||||||
\(462\) | −8.64445 | − | 15.9953i | −0.402176 | − | 0.744168i | ||||
\(463\) | −4.74359 | + | 2.41698i | −0.220453 | + | 0.112327i | −0.560730 | − | 0.827999i | \(-0.689479\pi\) |
0.340276 | + | 0.940325i | \(0.389479\pi\) | |||||||
\(464\) | −21.4328 | + | 9.34317i | −0.994992 | + | 0.433746i | ||||
\(465\) | −6.53333 | − | 13.3679i | −0.302976 | − | 0.619920i | ||||
\(466\) | −1.62444 | + | 5.44507i | −0.0752508 | + | 0.252238i | ||||
\(467\) | −3.91689 | + | 0.620374i | −0.181252 | + | 0.0287075i | −0.246401 | − | 0.969168i | \(-0.579248\pi\) |
0.0651486 | + | 0.997876i | \(0.479248\pi\) | |||||||
\(468\) | −4.03820 | + | 4.44991i | −0.186666 | + | 0.205697i | ||||
\(469\) | 25.3871 | − | 34.9423i | 1.17227 | − | 1.61348i | ||||
\(470\) | 29.1927 | − | 21.5501i | 1.34656 | − | 0.994032i | ||||
\(471\) | −2.44175 | − | 3.36079i | −0.112510 | − | 0.154857i | ||||
\(472\) | 2.72605 | − | 32.2298i | 0.125476 | − | 1.48350i | ||||
\(473\) | 13.3857 | + | 6.82037i | 0.615477 | + | 0.313601i | ||||
\(474\) | 0.0555653 | + | 2.29251i | 0.00255220 | + | 0.105299i | ||||
\(475\) | −0.0515759 | − | 0.178775i | −0.00236646 | − | 0.00820277i | ||||
\(476\) | −0.163890 | − | 3.37891i | −0.00751190 | − | 0.154872i | ||||
\(477\) | −2.71096 | + | 5.32057i | −0.124126 | + | 0.243612i | ||||
\(478\) | −4.24147 | − | 0.566803i | −0.194000 | − | 0.0259250i | ||||
\(479\) | 7.13723 | − | 5.18550i | 0.326108 | − | 0.236932i | −0.412669 | − | 0.910881i | \(-0.635403\pi\) |
0.738778 | + | 0.673949i | \(0.235403\pi\) | |||||||
\(480\) | −11.5566 | + | 5.14255i | −0.527483 | + | 0.234724i | ||||
\(481\) | 22.8178 | + | 16.5781i | 1.04040 | + | 0.755898i | ||||
\(482\) | 17.2239 | + | 16.4087i | 0.784527 | + | 0.747397i | ||||
\(483\) | 1.36560 | + | 8.62209i | 0.0621372 | + | 0.392319i | ||||
\(484\) | 7.36277 | + | 2.00361i | 0.334671 | + | 0.0910731i | ||||
\(485\) | −9.44236 | + | 17.7932i | −0.428755 | + | 0.807946i | ||||
\(486\) | 1.33401 | − | 0.469478i | 0.0605121 | − | 0.0212959i | ||||
\(487\) | −3.40456 | − | 6.68183i | −0.154275 | − | 0.302782i | 0.800913 | − | 0.598780i | \(-0.204348\pi\) |
−0.955189 | + | 0.295998i | \(0.904348\pi\) | |||||||
\(488\) | 5.99095 | + | 9.90575i | 0.271198 | + | 0.448412i | ||||
\(489\) | 17.1019 | − | 5.55676i | 0.773377 | − | 0.251285i | ||||
\(490\) | 35.5165 | − | 36.0596i | 1.60447 | − | 1.62901i | ||||
\(491\) | 22.0491 | + | 7.16420i | 0.995063 | + | 0.323316i | 0.760891 | − | 0.648880i | \(-0.224762\pi\) |
0.234172 | + | 0.972195i | \(0.424762\pi\) | |||||||
\(492\) | 13.5774 | − | 2.83075i | 0.612116 | − | 0.127620i | ||||
\(493\) | −1.45755 | + | 1.45755i | −0.0656450 | + | 0.0656450i | ||||
\(494\) | −0.130137 | − | 0.0898141i | −0.00585513 | − | 0.00404093i | ||||
\(495\) | −1.94676 | + | 5.66867i | −0.0875002 | + | 0.254788i | ||||
\(496\) | −17.6552 | − | 19.9179i | −0.792743 | − | 0.894340i | ||||
\(497\) | −77.3065 | − | 12.2442i | −3.46767 | − | 0.549225i | ||||
\(498\) | 7.96596 | + | 3.81862i | 0.356963 | + | 0.171117i | ||||
\(499\) | −30.1851 | −1.35127 | −0.675636 | − | 0.737235i | \(-0.736131\pi\) | ||||
−0.675636 | + | 0.737235i | \(0.736131\pi\) | |||||||
\(500\) | −21.2561 | − | 6.94106i | −0.950602 | − | 0.310414i | ||||
\(501\) | −10.6216 | −0.474536 | ||||||||
\(502\) | 6.38979 | + | 3.06306i | 0.285190 | + | 0.136711i | ||||
\(503\) | −26.9819 | − | 4.27351i | −1.20306 | − | 0.190546i | −0.477455 | − | 0.878656i | \(-0.658441\pi\) |
−0.725607 | + | 0.688110i | \(0.758441\pi\) | |||||||
\(504\) | −10.3671 | + | 8.75017i | −0.461789 | + | 0.389763i | ||||
\(505\) | 1.67366 | − | 4.87345i | 0.0744768 | − | 0.216866i | ||||
\(506\) | 5.67819 | + | 3.91881i | 0.252426 | + | 0.174212i | ||||
\(507\) | 2.80920 | − | 2.80920i | 0.124761 | − | 0.124761i | ||||
\(508\) | 6.68714 | + | 32.0741i | 0.296694 | + | 1.42306i | ||||
\(509\) | −29.0971 | − | 9.45423i | −1.28971 | − | 0.419051i | −0.417718 | − | 0.908577i | \(-0.637170\pi\) |
−0.871989 | + | 0.489526i | \(0.837170\pi\) | |||||||
\(510\) | −0.782539 | + | 0.794506i | −0.0346514 | + | 0.0351813i | ||||
\(511\) | 20.9703 | − | 6.81367i | 0.927672 | − | 0.301419i | ||||
\(512\) | −17.4609 | + | 14.3916i | −0.771669 | + | 0.636025i | ||||
\(513\) | 0.0168945 | + | 0.0331572i | 0.000745909 | + | 0.00146393i | ||||
\(514\) | −16.7419 | + | 5.89197i | −0.738455 | + | 0.259884i | ||||
\(515\) | −4.76297 | + | 8.97534i | −0.209881 | + | 0.395501i | ||||
\(516\) | 2.94337 | − | 10.8162i | 0.129575 | − | 0.476155i | ||||
\(517\) | −4.81137 | − | 30.3778i | −0.211604 | − | 1.33601i | ||||
\(518\) | 46.1029 | + | 43.9210i | 2.02565 | + | 1.92978i | ||||
\(519\) | −3.71576 | − | 2.69966i | −0.163104 | − | 0.118502i | ||||
\(520\) | −17.7149 | + | 6.87531i | −0.776850 | + | 0.301502i | ||||
\(521\) | 28.5539 | − | 20.7457i | 1.25097 | − | 0.908883i | 0.252693 | − | 0.967547i | \(-0.418684\pi\) |
0.998278 | + | 0.0586631i | \(0.0186838\pi\) | |||||||
\(522\) | 8.19350 | + | 1.09493i | 0.358620 | + | 0.0479237i | ||||
\(523\) | −4.66469 | + | 9.15497i | −0.203973 | + | 0.400319i | −0.970219 | − | 0.242227i | \(-0.922122\pi\) |
0.766247 | + | 0.642546i | \(0.222122\pi\) | |||||||
\(524\) | 20.6713 | − | 1.00264i | 0.903031 | − | 0.0438006i | ||||
\(525\) | −23.9687 | − | 0.798212i | −1.04608 | − | 0.0348368i | ||||
\(526\) | −0.537413 | − | 22.1726i | −0.0234323 | − | 0.966771i | ||||
\(527\) | −2.09079 | − | 1.06531i | −0.0910764 | − | 0.0464057i | ||||
\(528\) | −0.644500 | + | 10.7024i | −0.0280483 | + | 0.465760i | ||||
\(529\) | 11.5720 | + | 15.9275i | 0.503131 | + | 0.692501i | ||||
\(530\) | −15.1922 | + | 11.2149i | −0.659908 | + | 0.487144i | ||||
\(531\) | −6.72170 | + | 9.25163i | −0.291697 | + | 0.401487i | ||||
\(532\) | −0.264355 | − | 0.239896i | −0.0114612 | − | 0.0104008i | ||||
\(533\) | 20.5789 | − | 3.25938i | 0.891371 | − | 0.141179i | ||||
\(534\) | −5.64384 | + | 18.9179i | −0.244233 | + | 0.818659i | ||||
\(535\) | 9.36570 | + | 19.1632i | 0.404914 | + | 0.828497i | ||||
\(536\) | −23.5875 | + | 9.60923i | −1.01882 | + | 0.415056i | ||||
\(537\) | 10.7008 | − | 5.45231i | 0.461772 | − | 0.235285i | ||||
\(538\) | 7.66305 | + | 14.1793i | 0.330377 | + | 0.611315i | ||||
\(539\) | −13.2573 | − | 40.8016i | −0.571031 | − | 1.75745i | ||||
\(540\) | 4.43710 | + | 0.558710i | 0.190942 | + | 0.0240431i | ||||
\(541\) | 5.83972 | − | 17.9728i | 0.251069 | − | 0.772711i | −0.743510 | − | 0.668725i | \(-0.766840\pi\) |
0.994579 | − | 0.103986i | \(-0.0331597\pi\) | |||||||
\(542\) | 34.5292 | − | 6.33009i | 1.48315 | − | 0.271901i | ||||
\(543\) | −13.7776 | − | 13.7776i | −0.591252 | − | 0.591252i | ||||
\(544\) | −0.968895 | + | 1.74379i | −0.0415410 | + | 0.0747642i | ||||
\(545\) | −1.29055 | + | 1.71551i | −0.0552813 | + | 0.0734843i | ||||
\(546\) | −16.1927 | + | 12.3751i | −0.692985 | + | 0.529606i | ||||
\(547\) | −4.20606 | + | 26.5560i | −0.179838 | + | 1.13545i | 0.718298 | + | 0.695736i | \(0.244921\pi\) |
−0.898136 | + | 0.439718i | \(0.855079\pi\) | |||||||
\(548\) | −13.5652 | − | 6.10301i | −0.579475 | − | 0.260708i | ||||
\(549\) | − | 4.09291i | − | 0.174681i | ||||||
\(550\) | −13.5230 | + | 13.2803i | −0.576623 | + | 0.566272i | ||||
\(551\) | 0.217518i | 0.00926659i | ||||||||
\(552\) | 1.99773 | − | 4.74437i | 0.0850290 | − | 0.201934i | ||||
\(553\) | −1.21667 | + | 7.68173i | −0.0517379 | + | 0.326660i | ||||
\(554\) | 11.8737 | + | 15.5366i | 0.504465 | + | 0.660088i | ||||
\(555\) | 0.349373 | − | 20.9877i | 0.0148301 | − | 0.890879i | ||||
\(556\) | −5.40499 | + | 8.25243i | −0.229223 | + | 0.349981i | ||||
\(557\) | 27.7402 | + | 27.7402i | 1.17539 | + | 1.17539i | 0.980906 | + | 0.194483i | \(0.0623029\pi\) |
0.194483 | + | 0.980906i | \(0.437697\pi\) | |||||||
\(558\) | 1.69687 | + | 9.25604i | 0.0718343 | + | 0.391840i | ||||
\(559\) | 5.20373 | − | 16.0154i | 0.220094 | − | 0.677380i | ||||
\(560\) | −41.6973 | + | 10.0877i | −1.76203 | + | 0.426284i | ||||
\(561\) | 0.292099 | + | 0.898987i | 0.0123324 | + | 0.0379553i | ||||
\(562\) | −0.423963 | + | 0.229126i | −0.0178838 | + | 0.00966508i | ||||
\(563\) | −11.2472 | + | 5.73075i | −0.474014 | + | 0.241522i | −0.674642 | − | 0.738145i | \(-0.735702\pi\) |
0.200628 | + | 0.979668i | \(0.435702\pi\) | |||||||
\(564\) | −21.4564 | + | 8.14064i | −0.903479 | + | 0.342783i | ||||
\(565\) | −4.29941 | + | 0.607786i | −0.180877 | + | 0.0255698i | ||||
\(566\) | −9.06871 | − | 2.70549i | −0.381186 | − | 0.113720i | ||||
\(567\) | 4.73734 | − | 0.750321i | 0.198950 | − | 0.0315105i | ||||
\(568\) | 34.9215 | + | 30.1803i | 1.46527 | + | 1.26634i | ||||
\(569\) | −7.12484 | + | 9.80651i | −0.298689 | + | 0.411110i | −0.931812 | − | 0.362941i | \(-0.881773\pi\) |
0.633123 | + | 0.774051i | \(0.281773\pi\) | |||||||
\(570\) | 0.000892935 | 0.117675i | 3.74009e−5 | 0.00492887i | ||||||
\(571\) | −8.14919 | − | 11.2164i | −0.341033 | − | 0.469391i | 0.603710 | − | 0.797204i | \(-0.293689\pi\) |
−0.944743 | + | 0.327813i | \(0.893689\pi\) | |||||||
\(572\) | −1.74599 | + | 16.0120i | −0.0730036 | + | 0.669495i | ||||
\(573\) | −7.03665 | − | 3.58535i | −0.293960 | − | 0.149780i | ||||
\(574\) | 47.0249 | − | 1.13978i | 1.96278 | − | 0.0475733i | ||||
\(575\) | 8.24130 | − | 3.85921i | 0.343686 | − | 0.160940i | ||||
\(576\) | 7.91559 | − | 1.15909i | 0.329816 | − | 0.0482954i | ||||
\(577\) | −6.88925 | + | 13.5209i | −0.286803 | + | 0.562883i | −0.988791 | − | 0.149306i | \(-0.952296\pi\) |
0.701988 | + | 0.712189i | \(0.252296\pi\) | |||||||
\(578\) | 3.16117 | − | 23.6555i | 0.131487 | − | 0.983938i | ||||
\(579\) | 14.2240 | − | 10.3344i | 0.591130 | − | 0.429481i | ||||
\(580\) | 21.6262 | + | 14.6844i | 0.897980 | + | 0.609735i | ||||
\(581\) | 24.2388 | + | 17.6105i | 1.00560 | + | 0.730608i | ||||
\(582\) | 8.78746 | − | 9.22402i | 0.364252 | − | 0.382348i | ||||
\(583\) | 2.50389 | + | 15.8089i | 0.103700 | + | 0.654739i | ||||
\(584\) | −12.6254 | − | 3.10918i | −0.522441 | − | 0.128659i | ||||
\(585\) | 6.61720 | + | 1.16128i | 0.273588 | + | 0.0480129i | ||||
\(586\) | −5.77149 | − | 16.3996i | −0.238418 | − | 0.677461i | ||||
\(587\) | −14.2971 | − | 28.0597i | −0.590106 | − | 1.15815i | −0.972228 | − | 0.234037i | \(-0.924806\pi\) |
0.382121 | − | 0.924112i | \(-0.375194\pi\) | |||||||
\(588\) | −27.7842 | + | 15.8973i | −1.14580 | + | 0.655594i | ||||
\(589\) | −0.235501 | + | 0.0765188i | −0.00970364 | + | 0.00315290i | ||||
\(590\) | −32.0957 | + | 16.6615i | −1.32136 | + | 0.685945i | ||||
\(591\) | −5.31317 | − | 1.72635i | −0.218555 | − | 0.0710127i | ||||
\(592\) | −9.43569 | − | 36.3443i | −0.387805 | − | 1.49374i | ||||
\(593\) | −11.4197 | + | 11.4197i | −0.468950 | + | 0.468950i | −0.901574 | − | 0.432624i | \(-0.857588\pi\) |
0.432624 | + | 0.901574i | \(0.357588\pi\) | |||||||
\(594\) | 2.15316 | − | 3.11984i | 0.0883452 | − | 0.128008i | ||||
\(595\) | −3.09642 | + | 2.17187i | −0.126941 | + | 0.0890379i | ||||
\(596\) | 7.04571 | − | 5.66022i | 0.288604 | − | 0.231852i | ||||
\(597\) | 17.8476 | + | 2.82678i | 0.730453 | + | 0.115692i | ||||
\(598\) | 3.34289 | − | 6.97354i | 0.136701 | − | 0.285169i | ||||
\(599\) | 2.22321 | 0.0908378 | 0.0454189 | − | 0.998968i | \(-0.485538\pi\) | ||||
0.0454189 | + | 0.998968i | \(0.485538\pi\) | |||||||
\(600\) | 11.7598 | + | 7.85531i | 0.480094 | + | 0.320692i | ||||
\(601\) | 25.3987 | 1.03603 | 0.518017 | − | 0.855370i | \(-0.326670\pi\) | ||||
0.518017 | + | 0.855370i | \(0.326670\pi\) | |||||||
\(602\) | 16.4338 | − | 34.2822i | 0.669792 | − | 1.39724i | ||||
\(603\) | 8.89404 | + | 1.40868i | 0.362193 | + | 0.0573658i | ||||
\(604\) | −36.0302 | + | 28.9451i | −1.46605 | + | 1.17776i | ||||
\(605\) | −2.50087 | − | 8.15639i | −0.101675 | − | 0.331604i | ||||
\(606\) | −1.85111 | + | 2.68218i | −0.0751961 | + | 0.108956i | ||||
\(607\) | −26.4929 | + | 26.4929i | −1.07531 | + | 1.07531i | −0.0783895 | + | 0.996923i | \(0.524978\pi\) |
−0.996923 | + | 0.0783895i | \(0.975022\pi\) | |||||||
\(608\) | 0.0578204 | + | 0.202413i | 0.00234493 | + | 0.00820895i | ||||
\(609\) | 26.6636 | + | 8.66354i | 1.08046 | + | 0.351064i | ||||
\(610\) | 5.78829 | − | 11.5765i | 0.234361 | − | 0.468718i | ||||
\(611\) | −32.7879 | + | 10.6534i | −1.32646 | + | 0.430992i | ||||
\(612\) | 0.612173 | − | 0.350267i | 0.0247456 | − | 0.0141587i | ||||
\(613\) | −20.4288 | − | 40.0938i | −0.825111 | − | 1.61937i | −0.784445 | − | 0.620199i | \(-0.787052\pi\) |
−0.0406662 | − | 0.999173i | \(-0.512948\pi\) | |||||||
\(614\) | 5.92236 | + | 16.8283i | 0.239007 | + | 0.679135i | ||||
\(615\) | −10.7807 | − | 11.1457i | −0.434718 | − | 0.449436i | ||||
\(616\) | −8.69526 | + | 35.3085i | −0.350342 | + | 1.42262i | ||||
\(617\) | 1.08266 | + | 6.83563i | 0.0435862 | + | 0.275192i | 0.999850 | − | 0.0173129i | \(-0.00551115\pi\) |
−0.956264 | + | 0.292505i | \(0.905511\pi\) | |||||||
\(618\) | 4.43262 | − | 4.65283i | 0.178306 | − | 0.187164i | ||||
\(619\) | −21.2578 | − | 15.4447i | −0.854425 | − | 0.620776i | 0.0719377 | − | 0.997409i | \(-0.477082\pi\) |
−0.926362 | + | 0.376633i | \(0.877082\pi\) | |||||||
\(620\) | −8.29064 | + | 28.5798i | −0.332960 | + | 1.14779i | ||||
\(621\) | −1.47243 | + | 1.06979i | −0.0590867 | + | 0.0429290i | ||||
\(622\) | 0.484744 | − | 3.62741i | 0.0194365 | − | 0.145446i | ||||
\(623\) | −30.3973 | + | 59.6580i | −1.21784 | + | 2.39015i | ||||
\(624\) | 11.9617 | − | 1.16312i | 0.478851 | − | 0.0465619i | ||||
\(625\) | 6.12644 | + | 24.2377i | 0.245058 | + | 0.969508i | ||||
\(626\) | −11.7342 | + | 0.284411i | −0.468994 | + | 0.0113673i | ||||
\(627\) | 0.0888759 | + | 0.0452845i | 0.00354936 | + | 0.00180849i | ||||
\(628\) | −0.900624 | + | 8.25936i | −0.0359388 | + | 0.329584i | ||||
\(629\) | −1.94581 | − | 2.67818i | −0.0775846 | − | 0.106786i | ||||
\(630\) | 14.4603 | + | 4.57743i | 0.576113 | + | 0.182369i | ||||
\(631\) | −8.12239 | + | 11.1795i | −0.323347 | + | 0.445049i | −0.939485 | − | 0.342589i | \(-0.888696\pi\) |
0.616138 | + | 0.787638i | \(0.288696\pi\) | |||||||
\(632\) | 2.99893 | − | 3.47005i | 0.119291 | − | 0.138031i | ||||
\(633\) | 7.81141 | − | 1.23721i | 0.310476 | − | 0.0491745i | ||||
\(634\) | −38.2314 | − | 11.4057i | −1.51836 | − | 0.452977i | ||||
\(635\) | 26.3296 | − | 25.4674i | 1.04486 | − | 1.01064i | ||||
\(636\) | 11.1662 | − | 4.23648i | 0.442767 | − | 0.167987i | ||||
\(637\) | −42.8473 | + | 21.8318i | −1.69767 | + | 0.865006i | ||||
\(638\) | 19.4928 | − | 10.5347i | 0.771729 | − | 0.417071i | ||||
\(639\) | −5.04271 | − | 15.5199i | −0.199487 | − | 0.613956i | ||||
\(640\) | 24.0278 | + | 7.91601i | 0.949784 | + | 0.312908i | ||||
\(641\) | −4.52717 | + | 13.9332i | −0.178813 | + | 0.550328i | −0.999787 | − | 0.0206365i | \(-0.993431\pi\) |
0.820975 | + | 0.570965i | \(0.193431\pi\) | |||||||
\(642\) | −2.43251 | − | 13.2688i | −0.0960036 | − | 0.523677i | ||||
\(643\) | −7.98979 | − | 7.98979i | −0.315087 | − | 0.315087i | 0.531790 | − | 0.846876i | \(-0.321520\pi\) |
−0.846876 | + | 0.531790i | \(0.821520\pi\) | |||||||
\(644\) | 9.56587 | − | 14.6053i | 0.376948 | − | 0.575530i | ||||
\(645\) | −11.9820 | + | 3.67386i | −0.471791 | + | 0.144658i | ||||
\(646\) | 0.0112693 | + | 0.0147458i | 0.000443385 | + | 0.000580166i | ||||
\(647\) | −1.32584 | + | 8.37100i | −0.0521240 | + | 0.329098i | 0.947823 | + | 0.318797i | \(0.103279\pi\) |
−0.999947 | + | 0.0103008i | \(0.996721\pi\) | |||||||
\(648\) | −2.60676 | − | 1.09764i | −0.102403 | − | 0.0431192i | ||||
\(649\) | 30.6525i | 1.20322i | ||||||||
\(650\) | 17.0739 | + | 12.6428i | 0.669695 | + | 0.495891i | ||||
\(651\) | 31.9156i | 1.25087i | ||||||||
\(652\) | −32.7976 | − | 14.7557i | −1.28445 | − | 0.577879i | ||||
\(653\) | 2.70934 | − | 17.1061i | 0.106025 | − | 0.669413i | −0.876235 | − | 0.481885i | \(-0.839952\pi\) |
0.982259 | − | 0.187528i | \(-0.0600476\pi\) | |||||||
\(654\) | 1.07876 | − | 0.824428i | 0.0421827 | − | 0.0322377i | ||||
\(655\) | −13.2870 | − | 18.9431i | −0.519165 | − | 0.740170i | ||||
\(656\) | −23.9137 | − | 14.0560i | −0.933671 | − | 0.548794i | ||||
\(657\) | 3.25064 | + | 3.25064i | 0.126820 | + | 0.126820i | ||||
\(658\) | −76.5565 | + | 14.0348i | −2.98448 | + | 0.547133i | ||||
\(659\) | −5.39595 | + | 16.6070i | −0.210196 | + | 0.646917i | 0.789264 | + | 0.614054i | \(0.210462\pi\) |
−0.999460 | + | 0.0328630i | \(0.989538\pi\) | |||||||
\(660\) | 10.5022 | − | 5.77917i | 0.408797 | − | 0.224954i | ||||
\(661\) | 0.873558 | + | 2.68854i | 0.0339775 | + | 0.104572i | 0.966607 | − | 0.256264i | \(-0.0824915\pi\) |
−0.932629 | + | 0.360836i | \(0.882492\pi\) | |||||||
\(662\) | −1.37619 | − | 2.54644i | −0.0534872 | − | 0.0989701i | ||||
\(663\) | 0.944059 | − | 0.481022i | 0.0366642 | − | 0.0186813i | ||||
\(664\) | −6.66575 | − | 16.3622i | −0.258681 | − | 0.634976i | ||||
\(665\) | −0.0689877 | + | 0.393107i | −0.00267523 | + | 0.0152440i | ||||
\(666\) | −3.79526 | + | 12.7216i | −0.147063 | + | 0.492951i | ||||
\(667\) | −10.5074 | + | 1.66421i | −0.406849 | + | 0.0644385i | ||||
\(668\) | 15.7312 | + | 14.2758i | 0.608660 | + | 0.552347i | ||||
\(669\) | −12.4098 | + | 17.0807i | −0.479792 | + | 0.660377i | ||||
\(670\) | 23.1639 | + | 16.5625i | 0.894900 | + | 0.639865i | ||||
\(671\) | −6.44847 | − | 8.87555i | −0.248940 | − | 0.342637i | ||||
\(672\) | 27.1150 | + | 0.974247i | 1.04598 | + | 0.0375824i | ||||
\(673\) | −30.3795 | − | 15.4791i | −1.17104 | − | 0.596677i | −0.243321 | − | 0.969946i | \(-0.578237\pi\) |
−0.927723 | + | 0.373269i | \(0.878237\pi\) | |||||||
\(674\) | −0.423123 | − | 17.4572i | −0.0162981 | − | 0.672427i | ||||
\(675\) | −2.12041 | − | 4.52812i | −0.0816148 | − | 0.174287i | ||||
\(676\) | −7.93628 | + | 0.384941i | −0.305242 | + | 0.0148054i | ||||
\(677\) | 9.43439 | − | 18.5160i | 0.362593 | − | 0.711629i | −0.635581 | − | 0.772034i | \(-0.719239\pi\) |
0.998174 | + | 0.0604054i | \(0.0192393\pi\) | |||||||
\(678\) | 2.72202 | + | 0.363754i | 0.104539 | + | 0.0139699i | ||||
\(679\) | 34.9558 | − | 25.3969i | 1.34148 | − | 0.974643i | ||||
\(680\) | 2.22684 | − | 0.124954i | 0.0853954 | − | 0.00479177i | ||||
\(681\) | 3.41008 | + | 2.47757i | 0.130675 | + | 0.0949407i | ||||
\(682\) | 18.2628 | + | 17.3984i | 0.699318 | + | 0.666221i | ||||
\(683\) | 3.51625 | + | 22.2008i | 0.134546 | + | 0.849488i | 0.958968 | + | 0.283513i | \(0.0915001\pi\) |
−0.824423 | + | 0.565975i | \(0.808500\pi\) | |||||||
\(684\) | 0.0195428 | − | 0.0718149i | 0.000747237 | − | 0.00274591i | ||||
\(685\) | 2.32784 | + | 16.4668i | 0.0889421 | + | 0.629166i | ||||
\(686\) | −57.6204 | + | 20.2783i | −2.19996 | + | 0.774229i | ||||
\(687\) | 7.39023 | + | 14.5041i | 0.281955 | + | 0.553368i | ||||
\(688\) | −18.8967 | + | 12.0635i | −0.720428 | + | 0.459915i | ||||
\(689\) | 17.0632 | − | 5.54416i | 0.650055 | − | 0.211216i | ||||
\(690\) | −5.67758 | + | 0.943456i | −0.216142 | + | 0.0359168i | ||||
\(691\) | 5.65723 | + | 1.83814i | 0.215211 | + | 0.0699263i | 0.414638 | − | 0.909986i | \(-0.363908\pi\) |
−0.199427 | + | 0.979913i | \(0.563908\pi\) | |||||||
\(692\) | 1.87485 | + | 8.99250i | 0.0712709 | + | 0.341843i | ||||
\(693\) | 9.09086 | − | 9.09086i | 0.345333 | − | 0.345333i | ||||
\(694\) | −16.5889 | − | 11.4489i | −0.629707 | − | 0.434593i | ||||
\(695\) | 11.0278 | + | 0.183574i | 0.418307 | + | 0.00696337i | ||||
\(696\) | −10.6635 | − | 12.6340i | −0.404199 | − | 0.478892i | ||||
\(697\) | −2.41539 | − | 0.382560i | −0.0914894 | − | 0.0144905i | ||||
\(698\) | 23.9538 | + | 11.4827i | 0.906663 | + | 0.434625i | ||||
\(699\) | −4.01793 | −0.151972 | ||||||||
\(700\) | 34.4264 | + | 33.3970i | 1.30120 | + | 1.26229i | ||||
\(701\) | −2.92229 | −0.110374 | −0.0551868 | − | 0.998476i | \(-0.517575\pi\) | ||||
−0.0551868 | + | 0.998476i | \(0.517575\pi\) | |||||||
\(702\) | −3.83156 | − | 1.83672i | −0.144613 | − | 0.0693227i | ||||
\(703\) | −0.345031 | − | 0.0546475i | −0.0130131 | − | 0.00206107i | ||||
\(704\) | 15.3389 | − | 14.9847i | 0.578108 | − | 0.564756i | ||||
\(705\) | 20.5035 | + | 15.4245i | 0.772208 | + | 0.580922i | ||||
\(706\) | 9.73769 | + | 6.72048i | 0.366483 | + | 0.252929i | ||||
\(707\) | −7.81557 | + | 7.81557i | −0.293935 | + | 0.293935i | ||||
\(708\) | 22.3898 | − | 4.66806i | 0.841462 | − | 0.175436i | ||||
\(709\) | −17.0212 | − | 5.53052i | −0.639244 | − | 0.207703i | −0.0285783 | − | 0.999592i | \(-0.509098\pi\) |
−0.610666 | + | 0.791889i | \(0.709098\pi\) | |||||||
\(710\) | 7.68564 | − | 51.0283i | 0.288437 | − | 1.91506i | ||||
\(711\) | −1.54216 | + | 0.501079i | −0.0578357 | + | 0.0187919i | ||||
\(712\) | 33.7853 | − | 20.4332i | 1.26616 | − | 0.765767i | ||||
\(713\) | −5.49811 | − | 10.7906i | −0.205906 | − | 0.404113i | ||||
\(714\) | 2.25640 | − | 0.794093i | 0.0844437 | − | 0.0297182i | ||||
\(715\) | 16.1792 | − | 7.90729i | 0.605066 | − | 0.295716i | ||||
\(716\) | −23.1767 | − | 6.30700i | −0.866153 | − | 0.235704i | ||||
\(717\) | −0.473345 | − | 2.98858i | −0.0176774 | − | 0.111611i | ||||
\(718\) | 20.8089 | + | 19.8241i | 0.776582 | + | 0.739827i | ||||
\(719\) | 22.8599 | + | 16.6087i | 0.852530 | + | 0.619399i | 0.925842 | − | 0.377910i | \(-0.123357\pi\) |
−0.0733124 | + | 0.997309i | \(0.523357\pi\) | |||||||
\(720\) | −5.82071 | − | 6.79112i | −0.216925 | − | 0.253090i | ||||
\(721\) | 17.6326 | − | 12.8108i | 0.656673 | − | 0.477101i | ||||
\(722\) | −26.6314 | − | 3.55885i | −0.991117 | − | 0.132447i | ||||
\(723\) | −7.63669 | + | 14.9878i | −0.284011 | + | 0.557404i | ||||
\(724\) | 1.88792 | + | 38.9231i | 0.0701641 | + | 1.44656i | ||||
\(725\) | 0.972751 | − | 29.2097i | 0.0361271 | − | 1.08482i | ||||
\(726\) | 0.130738 | + | 5.39401i | 0.00485216 | + | 0.200190i | ||||
\(727\) | 30.9208 | + | 15.7550i | 1.14679 | + | 0.584319i | 0.920887 | − | 0.389831i | \(-0.127466\pi\) |
0.225904 | + | 0.974150i | \(0.427466\pi\) | |||||||
\(728\) | 40.6152 | + | 3.43529i | 1.50530 | + | 0.127320i | ||||
\(729\) | 0.587785 | + | 0.809017i | 0.0217698 | + | 0.0299636i | ||||
\(730\) | 4.59705 | + | 13.7913i | 0.170145 | + | 0.510440i | ||||
\(731\) | −1.16176 | + | 1.59902i | −0.0429692 | + | 0.0591420i | ||||
\(732\) | −5.50103 | + | 6.06188i | −0.203324 | + | 0.224053i | ||||
\(733\) | −18.5838 | + | 2.94338i | −0.686407 | + | 0.108716i | −0.489890 | − | 0.871784i | \(-0.662963\pi\) |
−0.196517 | + | 0.980500i | \(0.562963\pi\) | |||||||
\(734\) | 12.0878 | − | 40.5179i | 0.446170 | − | 1.49554i | ||||
\(735\) | 31.6135 | + | 16.7764i | 1.16608 | + | 0.618808i | ||||
\(736\) | −9.33539 | + | 4.34171i | −0.344107 | + | 0.160038i | ||||
\(737\) | 21.5063 | − | 10.9580i | 0.792194 | − | 0.403643i | ||||
\(738\) | 4.66276 | + | 8.62774i | 0.171638 | + | 0.317592i | ||||
\(739\) | −8.48650 | − | 26.1188i | −0.312181 | − | 0.960794i | −0.976899 | − | 0.213700i | \(-0.931448\pi\) |
0.664718 | − | 0.747094i | \(-0.268552\pi\) | |||||||
\(740\) | −28.7258 | + | 30.6147i | −1.05598 | + | 1.12542i | ||||
\(741\) | 0.0345507 | − | 0.106336i | 0.00126925 | − | 0.00390635i | ||||
\(742\) | 39.8408 | − | 7.30386i | 1.46260 | − | 0.268133i | ||||
\(743\) | −24.4972 | − | 24.4972i | −0.898716 | − | 0.898716i | 0.0966068 | − | 0.995323i | \(-0.469201\pi\) |
−0.995323 | + | 0.0966068i | \(0.969201\pi\) | |||||||
\(744\) | 9.92730 | − | 15.9895i | 0.363952 | − | 0.586203i | ||||
\(745\) | −9.55661 | − | 3.28197i | −0.350127 | − | 0.120242i | ||||
\(746\) | 28.5902 | − | 21.8498i | 1.04676 | − | 0.799977i | ||||
\(747\) | −0.977173 | + | 6.16963i | −0.0357529 | + | 0.225735i | ||||
\(748\) | 0.775656 | − | 1.72405i | 0.0283608 | − | 0.0630376i | ||||
\(749\) | − | 45.7519i | − | 1.67174i | ||||||
\(750\) | 0.406340 | − | 15.8062i | 0.0148374 | − | 0.577160i | ||||
\(751\) | 20.0362i | 0.731131i | 0.930786 | + | 0.365565i | \(0.119124\pi\) | ||||
−0.930786 | + | 0.365565i | \(0.880876\pi\) | |||||||
\(752\) | 42.7198 | + | 16.7815i | 1.55783 | + | 0.611957i | ||||
\(753\) | −0.783827 | + | 4.94889i | −0.0285642 | + | 0.180348i | ||||
\(754\) | −15.0811 | − | 19.7335i | −0.549221 | − | 0.718651i | ||||
\(755\) | 48.8703 | + | 16.7832i | 1.77857 | + | 0.610804i | ||||
\(756\) | −8.02478 | − | 5.25589i | −0.291858 | − | 0.191155i | ||||
\(757\) | −21.6448 | − | 21.6448i | −0.786693 | − | 0.786693i | 0.194257 | − | 0.980951i | \(-0.437770\pi\) |
−0.980951 | + | 0.194257i | \(0.937770\pi\) | |||||||
\(758\) | −2.24486 | − | 12.2452i | −0.0815368 | − | 0.444764i | ||||
\(759\) | −1.50753 | + | 4.63970i | −0.0547199 | + | 0.168410i | ||||
\(760\) | 0.156838 | − | 0.175485i | 0.00568910 | − | 0.00636551i | ||||
\(761\) | −10.0218 | − | 30.8439i | −0.363289 | − | 1.11809i | −0.951045 | − | 0.309051i | \(-0.899989\pi\) |
0.587756 | − | 0.809038i | \(-0.300011\pi\) | |||||||
\(762\) | −20.3815 | + | 11.0149i | −0.738344 | + | 0.399029i | ||||
\(763\) | 4.10289 | − | 2.09053i | 0.148535 | − | 0.0756822i | ||||
\(764\) | 5.60290 | + | 14.7677i | 0.202706 | + | 0.534276i | ||||
\(765\) | −0.696543 | − | 0.369637i | −0.0251836 | − | 0.0133642i | ||||
\(766\) | −23.4240 | − | 6.98815i | −0.846345 | − | 0.252492i | ||||
\(767\) | 33.9357 | − | 5.37489i | 1.22535 | − | 0.194076i | ||||
\(768\) | −13.2814 | − | 8.92216i | −0.479250 | − | 0.321951i | ||||
\(769\) | 12.5344 | − | 17.2521i | 0.452001 | − | 0.622126i | −0.520825 | − | 0.853664i | \(-0.674376\pi\) |
0.972826 | + | 0.231537i | \(0.0743756\pi\) | |||||||
\(770\) | 38.5693 | − | 12.8563i | 1.38994 | − | 0.463309i | ||||
\(771\) | −7.37674 | − | 10.1532i | −0.265667 | − | 0.365659i | ||||
\(772\) | −34.9565 | − | 3.81175i | −1.25811 | − | 0.137188i | ||||
\(773\) | 34.3860 | + | 17.5205i | 1.23678 | + | 0.630169i | 0.945236 | − | 0.326389i | \(-0.105832\pi\) |
0.291541 | + | 0.956558i | \(0.405832\pi\) | |||||||
\(774\) | 7.92398 | − | 0.192059i | 0.284821 | − | 0.00690342i | ||||
\(775\) | 31.9667 | − | 9.22226i | 1.14828 | − | 0.331273i | ||||
\(776\) | −25.4123 | + | 1.85071i | −0.912247 | + | 0.0664365i | ||||
\(777\) | −20.4410 | + | 40.1177i | −0.733317 | + | 1.43921i | ||||
\(778\) | −0.316630 | + | 2.36939i | −0.0113517 | + | 0.0849466i | ||||
\(779\) | −0.208776 | + | 0.151685i | −0.00748018 | + | 0.00543467i | ||||
\(780\) | −8.23972 | − | 10.6137i | −0.295029 | − | 0.380032i | ||||
\(781\) | −35.3871 | − | 25.7102i | −1.26625 | − | 0.919984i | ||||
\(782\) | −0.626089 | + | 0.657193i | −0.0223889 | + | 0.0235012i | ||||
\(783\) | 0.914388 | + | 5.77322i | 0.0326776 | + | 0.206318i | ||||
\(784\) | 62.5169 | + | 13.7981i | 2.23275 | + | 0.492789i | ||||
\(785\) | 8.34559 | − | 4.07877i | 0.297867 | − | 0.145578i | ||||
\(786\) | 4.85807 | + | 13.8041i | 0.173282 | + | 0.492377i | ||||
\(787\) | 3.16858 | + | 6.21869i | 0.112948 | + | 0.221672i | 0.940560 | − | 0.339628i | \(-0.110301\pi\) |
−0.827612 | + | 0.561300i | \(0.810301\pi\) | |||||||
\(788\) | 5.54888 | + | 9.69795i | 0.197671 | + | 0.345475i | ||||
\(789\) | 14.9154 | − | 4.84631i | 0.531003 | − | 0.172533i | ||||
\(790\) | −5.07053 | − | 0.763699i | −0.180401 | − | 0.0271712i | ||||
\(791\) | 8.85811 | + | 2.87818i | 0.314958 | + | 0.102336i | ||||
\(792\) | −7.38216 | + | 1.72676i | −0.262313 | + | 0.0613577i | ||||
\(793\) | −8.69548 | + | 8.69548i | −0.308786 | + | 0.308786i | ||||
\(794\) | 20.0865 | − | 29.1044i | 0.712842 | − | 1.03288i | ||||
\(795\) | −10.6703 | − | 8.02710i | −0.378435 | − | 0.284692i | ||||
\(796\) | −22.6342 | − | 28.1745i | −0.802247 | − | 0.998618i | ||||
\(797\) | 18.1235 | + | 2.87048i | 0.641967 | + | 0.101678i | 0.468927 | − | 0.883237i | \(-0.344641\pi\) |
0.173041 | + | 0.984915i | \(0.444641\pi\) | |||||||
\(798\) | 0.109114 | − | 0.227620i | 0.00386259 | − | 0.00805767i | ||||
\(799\) | 4.04643 | 0.143153 | ||||||||
\(800\) | −6.85928 | − | 27.4399i | −0.242512 | − | 0.970148i | ||||
\(801\) | −13.9596 | −0.493239 | ||||||||
\(802\) | −21.3652 | + | 44.5695i | −0.754431 | + | 1.57380i | ||||
\(803\) | 12.1705 | + | 1.92762i | 0.429489 | + | 0.0680243i | ||||
\(804\) | −11.2794 | − | 14.0403i | −0.397792 | − | 0.495162i | ||||
\(805\) | −19.5172 | − | 0.324894i | −0.687891 | − | 0.0114510i | ||||
\(806\) | 16.0596 | − | 23.2697i | 0.565676 | − | 0.819641i | ||||
\(807\) | −8.05879 | + | 8.05879i | −0.283683 | + | 0.283683i | ||||
\(808\) | 6.34656 | − | 1.48452i | 0.223271 | − | 0.0522253i | ||||
\(809\) | 12.5468 | + | 4.07670i | 0.441122 | + | 0.143329i | 0.521153 | − | 0.853463i | \(-0.325502\pi\) |
−0.0800314 | + | 0.996792i | \(0.525502\pi\) | |||||||
\(810\) | 0.518375 | + | 3.11950i | 0.0182138 | + | 0.109608i | ||||
\(811\) | −25.4347 | + | 8.26423i | −0.893133 | + | 0.290196i | −0.719400 | − | 0.694596i | \(-0.755583\pi\) |
−0.173733 | + | 0.984793i | \(0.555583\pi\) | |||||||
\(812\) | −27.8465 | − | 48.6682i | −0.977220 | − | 1.70792i | ||||
\(813\) | 11.2693 | + | 22.1172i | 0.395230 | + | 0.775683i | ||||
\(814\) | 11.8130 | + | 33.5665i | 0.414046 | + | 1.17651i | ||||
\(815\) | 5.62821 | + | 39.8132i | 0.197147 | + | 1.39460i | ||||
\(816\) | −1.37744 | − | 0.304015i | −0.0482201 | − | 0.0106427i | ||||
\(817\) | 0.0326276 | + | 0.206003i | 0.00114150 | + | 0.00720713i | ||||
\(818\) | −9.80811 | + | 10.2954i | −0.342932 | + | 0.359969i | ||||
\(819\) | −11.6587 | − | 8.47051i | −0.407387 | − | 0.295984i | ||||
\(820\) | 0.986690 | + | 30.9971i | 0.0344567 | + | 1.08246i | ||||
\(821\) | −40.6822 | + | 29.5573i | −1.41982 | + | 1.03156i | −0.428015 | + | 0.903772i | \(0.640787\pi\) |
−0.991802 | + | 0.127786i | \(0.959213\pi\) | |||||||
\(822\) | 1.39319 | − | 10.4254i | 0.0485930 | − | 0.363628i | ||||
\(823\) | −11.6026 | + | 22.7713i | −0.404440 | + | 0.793757i | −0.999954 | − | 0.00958732i | \(-0.996948\pi\) |
0.595515 | + | 0.803345i | \(0.296948\pi\) | |||||||
\(824\) | −12.8186 | + | 0.933544i | −0.446557 | + | 0.0325215i | ||||
\(825\) | −11.7323 | − | 6.47855i | −0.408466 | − | 0.225554i | ||||
\(826\) | 77.5466 | − | 1.87955i | 2.69819 | − | 0.0653980i | ||||
\(827\) | −25.9636 | − | 13.2291i | −0.902842 | − | 0.460021i | −0.0600101 | − | 0.998198i | \(-0.519113\pi\) |
−0.842832 | + | 0.538177i | \(0.819113\pi\) | |||||||
\(828\) | 3.61860 | + | 0.394583i | 0.125755 | + | 0.0137127i | ||||
\(829\) | 20.8622 | + | 28.7143i | 0.724573 | + | 0.997289i | 0.999360 | + | 0.0357841i | \(0.0113929\pi\) |
−0.274786 | + | 0.961505i | \(0.588607\pi\) | |||||||
\(830\) | −11.4891 | + | 16.0684i | −0.398792 | + | 0.557742i | ||||
\(831\) | −8.12730 | + | 11.1863i | −0.281933 | + | 0.388047i | ||||
\(832\) | −19.2794 | − | 14.3543i | −0.668391 | − | 0.497647i | ||||
\(833\) | 5.57478 | − | 0.882958i | 0.193155 | − | 0.0305927i | ||||
\(834\) | −6.68442 | − | 1.99418i | −0.231463 | − | 0.0690528i | ||||
\(835\) | 4.10533 | − | 23.3930i | 0.142071 | − | 0.809549i | ||||
\(836\) | −0.0707670 | − | 0.186522i | −0.00244753 | − | 0.00645100i | ||||
\(837\) | −5.92883 | + | 3.02089i | −0.204930 | + | 0.104417i | ||||
\(838\) | −12.7120 | + | 6.87004i | −0.439129 | + | 0.237322i | ||||
\(839\) | −7.35139 | − | 22.6253i | −0.253798 | − | 0.781110i | −0.994064 | − | 0.108796i | \(-0.965300\pi\) |
0.740266 | − | 0.672314i | \(-0.234700\pi\) | |||||||
\(840\) | −15.2645 | − | 26.2147i | −0.526674 | − | 0.904493i | ||||
\(841\) | −1.59644 | + | 4.91333i | −0.0550496 | + | 0.169425i | ||||
\(842\) | 6.52348 | + | 35.5840i | 0.224814 | + | 1.22631i | ||||
\(843\) | −0.240958 | − | 0.240958i | −0.00829904 | − | 0.00829904i | ||||
\(844\) | −13.2321 | − | 8.66645i | −0.455467 | − | 0.298311i | ||||
\(845\) | 5.10123 | + | 7.27279i | 0.175488 | + | 0.250192i | ||||
\(846\) | −9.85346 | − | 12.8932i | −0.338769 | − | 0.443276i | ||||
\(847\) | −2.86267 | + | 18.0742i | −0.0983625 | + | 0.621036i | ||||
\(848\) | −22.2318 | − | 8.73325i | −0.763444 | − | 0.299901i | ||||
\(849\) | − | 6.69183i | − | 0.229663i | ||||||
\(850\) | −1.44737 | − | 2.03056i | −0.0496444 | − | 0.0696475i | ||||
\(851\) | − | 17.0851i | − | 0.585671i | ||||||
\(852\) | −13.3907 | + | 29.7636i | −0.458758 | + | 1.01968i | ||||
\(853\) | 0.988144 | − | 6.23890i | 0.0338334 | − | 0.213616i | −0.964980 | − | 0.262325i | \(-0.915511\pi\) |
0.998813 | + | 0.0487092i | \(0.0155108\pi\) | |||||||
\(854\) | −22.0585 | + | 16.8580i | −0.754827 | + | 0.576867i | ||||
\(855\) | −0.0795557 | + | 0.0243930i | −0.00272075 | + | 0.000834221i | ||||
\(856\) | −14.2310 | + | 22.9214i | −0.486407 | + | 0.783436i | ||||
\(857\) | −10.6659 | − | 10.6659i | −0.364342 | − | 0.364342i | 0.501067 | − | 0.865409i | \(-0.332941\pi\) |
−0.865409 | + | 0.501067i | \(0.832941\pi\) | |||||||
\(858\) | −11.2026 | + | 2.05373i | −0.382451 | + | 0.0701131i | ||||
\(859\) | 5.00278 | − | 15.3970i | 0.170693 | − | 0.525338i | −0.828718 | − | 0.559666i | \(-0.810929\pi\) |
0.999411 | + | 0.0343286i | \(0.0109293\pi\) | |||||||
\(860\) | 22.6840 | + | 10.6630i | 0.773517 | + | 0.363607i | ||||
\(861\) | 10.2783 | + | 31.6335i | 0.350285 | + | 1.07807i | ||||
\(862\) | −20.1388 | − | 37.2640i | −0.685931 | − | 1.26922i | ||||
\(863\) | 25.6142 | − | 13.0511i | 0.871916 | − | 0.444264i | 0.0400228 | − | 0.999199i | \(-0.487257\pi\) |
0.831894 | + | 0.554935i | \(0.187257\pi\) | |||||||
\(864\) | 2.38552 | + | 5.12926i | 0.0811570 | + | 0.174501i | ||||
\(865\) | 7.38193 | − | 7.14018i | 0.250993 | − | 0.242773i | ||||
\(866\) | −7.59115 | + | 25.4453i | −0.257958 | + | 0.864666i | ||||
\(867\) | 16.6679 | − | 2.63993i | 0.566071 | − | 0.0896568i | ||||
\(868\) | 42.8958 | − | 47.2692i | 1.45598 | − | 1.60442i | ||||
\(869\) | −2.55475 | + | 3.51631i | −0.0866640 | + | 0.119283i | ||||
\(870\) | −5.57834 | + | 17.6223i | −0.189124 | + | 0.597450i | ||||
\(871\) | −15.9028 | − | 21.8884i | −0.538846 | − | 0.741658i | ||||
\(872\) | −2.70577 | − | 0.228859i | −0.0916291 | − | 0.00775013i | ||||
\(873\) | 8.02653 | + | 4.08972i | 0.271657 | + | 0.138416i | ||||
\(874\) | 0.00232089 | + | 0.0957553i | 7.85053e−5 | + | 0.00323897i | ||||
\(875\) | 11.0221 | − | 52.4803i | 0.372615 | − | 1.77416i | ||||
\(876\) | −0.445431 | − | 9.18340i | −0.0150497 | − | 0.310278i | ||||
\(877\) | 13.9377 | − | 27.3543i | 0.470643 | − | 0.923689i | −0.526644 | − | 0.850086i | \(-0.676550\pi\) |
0.997288 | − | 0.0736037i | \(-0.0234500\pi\) | |||||||
\(878\) | −48.5056 | − | 6.48198i | −1.63698 | − | 0.218756i | ||||
\(879\) | 9.94559 | − | 7.22589i | 0.335456 | − | 0.243723i | ||||
\(880\) | −23.3219 | − | 5.55601i | −0.786180 | − | 0.187293i | ||||
\(881\) | 2.53464 | + | 1.84152i | 0.0853941 | + | 0.0620424i | 0.629663 | − | 0.776868i | \(-0.283193\pi\) |
−0.544269 | + | 0.838911i | \(0.683193\pi\) | |||||||
\(882\) | −16.3885 | − | 15.6129i | −0.551829 | − | 0.525712i | ||||
\(883\) | −1.35062 | − | 8.52750i | −0.0454521 | − | 0.286973i | 0.954484 | − | 0.298262i | \(-0.0964068\pi\) |
−0.999936 | + | 0.0112883i | \(0.996407\pi\) | |||||||
\(884\) | −2.04473 | − | 0.556425i | −0.0687716 | − | 0.0187146i | ||||
\(885\) | −17.7779 | − | 18.3798i | −0.597597 | − | 0.617830i | ||||
\(886\) | −31.4664 | + | 11.0739i | −1.05713 | + | 0.372036i | ||||
\(887\) | 9.92825 | + | 19.4853i | 0.333358 | + | 0.654252i | 0.995462 | − | 0.0951599i | \(-0.0303362\pi\) |
−0.662104 | + | 0.749412i | \(0.730336\pi\) | |||||||
\(888\) | 22.7193 | − | 13.7405i | 0.762411 | − | 0.461102i | ||||
\(889\) | −74.7284 | + | 24.2807i | −2.50631 | + | 0.814349i | ||||
\(890\) | −39.4837 | − | 19.7420i | −1.32350 | − | 0.661753i | ||||
\(891\) | 2.54925 | + | 0.828300i | 0.0854030 | + | 0.0277491i | ||||
\(892\) | 41.3369 | − | 8.61833i | 1.38406 | − | 0.288563i | ||||
\(893\) | 0.301935 | − | 0.301935i | 0.0101039 | − | 0.0101039i | ||||
\(894\) | 5.25962 | + | 3.62994i | 0.175908 | + | 0.121403i | ||||
\(895\) | 7.87228 | + | 25.6748i | 0.263141 | + | 0.858215i | ||||
\(896\) | −38.8497 | − | 37.8865i | −1.29788 | − | 1.26570i | ||||
\(897\) | 5.40100 | + | 0.855434i | 0.180334 | + | 0.0285621i | ||||
\(898\) | 21.9931 | + | 10.5428i | 0.733919 | + | 0.351817i | ||||
\(899\) | −38.8944 | −1.29720 | ||||||||
\(900\) | −2.94549 | + | 9.55636i | −0.0981829 | + | 0.318545i | ||||
\(901\) | −2.10581 | −0.0701546 | ||||||||
\(902\) | 23.7045 | + | 11.3632i | 0.789272 | + | 0.378352i | ||||
\(903\) | 26.5516 | + | 4.20536i | 0.883581 | + | 0.139945i | ||||
\(904\) | −3.54260 | − | 4.19725i | −0.117825 | − | 0.139598i | ||||
\(905\) | 35.6690 | − | 25.0187i | 1.18568 | − | 0.831649i | ||||
\(906\) | −26.8965 | − | 18.5627i | −0.893577 | − | 0.616703i | ||||
\(907\) | 34.7662 | − | 34.7662i | 1.15439 | − | 1.15439i | 0.168729 | − | 0.985663i | \(-0.446034\pi\) |
0.985663 | − | 0.168729i | \(-0.0539662\pi\) | |||||||
\(908\) | −1.72061 | − | 8.25273i | −0.0571005 | − | 0.273877i | ||||
\(909\) | −2.19163 | − | 0.712104i | −0.0726918 | − | 0.0236190i | ||||
\(910\) | −20.9964 | − | 40.4461i | −0.696025 | − | 1.34078i | ||||
\(911\) | 15.1798 | − | 4.93221i | 0.502928 | − | 0.163411i | −0.0465554 | − | 0.998916i | \(-0.514824\pi\) |
0.549484 | + | 0.835504i | \(0.314824\pi\) | |||||||
\(912\) | −0.125466 | + | 0.0800965i | −0.00415460 | + | 0.00265226i | ||||
\(913\) | 7.60136 | + | 14.9185i | 0.251568 | + | 0.493731i | ||||
\(914\) | 27.5906 | − | 9.70994i | 0.912617 | − | 0.321176i | ||||
\(915\) | 9.01427 | + | 1.58195i | 0.298003 | + | 0.0522976i | ||||
\(916\) | 8.54870 | − | 31.4144i | 0.282457 | − | 1.03796i | ||||
\(917\) | 7.76418 | + | 49.0211i | 0.256396 | + | 1.61882i | ||||
\(918\) | 0.361090 | + | 0.344000i | 0.0119177 | + | 0.0113537i | ||||
\(919\) | 20.3943 | + | 14.8173i | 0.672747 | + | 0.488779i | 0.870944 | − | 0.491383i | \(-0.163508\pi\) |
−0.198197 | + | 0.980162i | \(0.563508\pi\) | |||||||
\(920\) | 9.67692 | + | 6.23356i | 0.319038 | + | 0.205514i | ||||
\(921\) | −10.2056 | + | 7.41479i | −0.336285 | + | 0.244326i | ||||
\(922\) | 10.2366 | + | 1.36796i | 0.337126 | + | 0.0450514i | ||||
\(923\) | −22.2590 | + | 43.6857i | −0.732662 | + | 1.43793i | ||||
\(924\) | −25.6827 | + | 1.24571i | −0.844897 | + | 0.0409808i | ||||
\(925\) | 46.0886 | + | 8.88141i | 1.51538 | + | 0.292019i | ||||
\(926\) | 0.182434 | + | 7.52686i | 0.00599515 | + | 0.247348i | ||||
\(927\) | 4.04879 | + | 2.06296i | 0.132980 | + | 0.0677565i | ||||
\(928\) | −1.18728 | + | 33.0440i | −0.0389743 | + | 1.08472i | ||||
\(929\) | 6.69493 | + | 9.21478i | 0.219654 | + | 0.302327i | 0.904596 | − | 0.426270i | \(-0.140173\pi\) |
−0.684942 | + | 0.728597i | \(0.740173\pi\) | |||||||
\(930\) | −21.0415 | + | 0.159665i | −0.689977 | + | 0.00523563i | ||||
\(931\) | 0.350092 | − | 0.481860i | 0.0114738 | − | 0.0157923i | ||||
\(932\) | 5.95083 | + | 5.40026i | 0.194926 | + | 0.176891i | ||||
\(933\) | 2.55591 | − | 0.404816i | 0.0836767 | − | 0.0132531i | ||||
\(934\) | −1.60333 | + | 5.37430i | −0.0524625 | + | 0.175852i | ||||
\(935\) | −2.09284 | + | 0.295854i | −0.0684431 | + | 0.00967547i | ||||
\(936\) | 3.20617 | + | 7.87007i | 0.104797 | + | 0.257241i | ||||
\(937\) | 40.0127 | − | 20.3875i | 1.30716 | − | 0.666030i | 0.345020 | − | 0.938595i | \(-0.387872\pi\) |
0.962137 | + | 0.272565i | \(0.0878721\pi\) | |||||||
\(938\) | −29.0409 | − | 53.7360i | −0.948220 | − | 1.75454i | ||||
\(939\) | −2.56478 | − | 7.89357i | −0.0836983 | − | 0.257597i | ||||
\(940\) | −9.63592 | − | 50.4023i | −0.314289 | − | 1.64394i | ||||
\(941\) | −1.59956 | + | 4.92295i | −0.0521443 | + | 0.160484i | −0.973738 | − | 0.227673i | \(-0.926888\pi\) |
0.921593 | + | 0.388157i | \(0.126888\pi\) | |||||||
\(942\) | −5.77857 | + | 1.05936i | −0.188276 | + | 0.0345158i | ||||
\(943\) | −8.92460 | − | 8.92460i | −0.290625 | − | 0.290625i | ||||
\(944\) | −39.4349 | − | 23.1791i | −1.28350 | − | 0.754416i | ||||
\(945\) | −0.178510 | + | 10.7236i | −0.00580694 | + | 0.348838i | ||||
\(946\) | 16.8807 | − | 12.9009i | 0.548839 | − | 0.419444i | ||||
\(947\) | −2.98118 | + | 18.8224i | −0.0968752 | + | 0.611646i | 0.890711 | + | 0.454569i | \(0.150207\pi\) |
−0.987586 | + | 0.157076i | \(0.949793\pi\) | |||||||
\(948\) | 2.95752 | + | 1.33060i | 0.0960557 | + | 0.0432157i | ||||
\(949\) | − | 13.8121i | − | 0.448360i | ||||||
\(950\) | −0.259514 | − | 0.0435159i | −0.00841975 | − | 0.00141184i | ||||
\(951\) | − | 28.2111i | − | 0.914807i | ||||||
\(952\) | −4.40917 | − | 1.85659i | −0.142902 | − | 0.0601723i | ||||
\(953\) | −2.74989 | + | 17.3621i | −0.0890776 | + | 0.562414i | 0.902272 | + | 0.431167i | \(0.141898\pi\) |
−0.991350 | + | 0.131247i | \(0.958102\pi\) | |||||||
\(954\) | 5.12784 | + | 6.70975i | 0.166020 | + | 0.217236i | ||||
\(955\) | 10.6161 | − | 14.1118i | 0.343530 | − | 0.456648i | ||||
\(956\) | −3.31571 | + | 5.06248i | −0.107238 | + | 0.163732i | ||||
\(957\) | 11.0787 | + | 11.0787i | 0.358123 | + | 0.358123i | ||||
\(958\) | −2.24974 | − | 12.2718i | −0.0726859 | − | 0.396485i | ||||
\(959\) | 11.0235 | − | 33.9268i | 0.355967 | − | 1.09555i | ||||
\(960\) | −0.506657 | + | 17.8814i | −0.0163523 | + | 0.577119i | ||||
\(961\) | −4.10277 | − | 12.6270i | −0.132348 | − | 0.407324i | ||||
\(962\) | 35.0904 | − | 18.9642i | 1.13136 | − | 0.611430i | ||||
\(963\) | 8.49914 | − | 4.33053i | 0.273881 | − | 0.139549i | ||||
\(964\) | 31.4547 | − | 11.9340i | 1.01309 | − | 0.384368i | ||||
\(965\) | 17.2628 | + | 35.3214i | 0.555708 | + | 1.13704i | ||||
\(966\) | 11.8302 | + | 3.52934i | 0.380631 | + | 0.113555i | ||||
\(967\) | 12.9879 | − | 2.05708i | 0.417663 | − | 0.0661513i | 0.0559338 | − | 0.998434i | \(-0.482186\pi\) |
0.361729 | + | 0.932283i | \(0.382186\pi\) | |||||||
\(968\) | 7.05612 | − | 8.16461i | 0.226792 | − | 0.262420i | ||||
\(969\) | −0.00771361 | + | 0.0106169i | −0.000247797 | + | 0.000341063i | ||||
\(970\) | 16.9186 | + | 22.9188i | 0.543225 | + | 0.735877i | ||||
\(971\) | 21.5179 | + | 29.6169i | 0.690543 | + | 0.950451i | 1.00000 | 0.000462355i | \(-0.000147172\pi\) | |
−0.309457 | + | 0.950914i | \(0.600147\pi\) | |||||||
\(972\) | 0.216801 | − | 1.98821i | 0.00695388 | − | 0.0637720i | ||||
\(973\) | −21.0794 | − | 10.7405i | −0.675775 | − | 0.344325i | ||||
\(974\) | −10.6023 | + | 0.256977i | −0.339721 | + | 0.00823406i | ||||
\(975\) | −5.11522 | + | 14.1250i | −0.163818 | + | 0.452361i | ||||
\(976\) | 16.2948 | − | 1.58445i | 0.521584 | − | 0.0507170i | ||||
\(977\) | 14.9130 | − | 29.2685i | 0.477110 | − | 0.936381i | −0.519528 | − | 0.854453i | \(-0.673892\pi\) |
0.996638 | − | 0.0819281i | \(-0.0261078\pi\) | |||||||
\(978\) | 3.36842 | − | 25.2064i | 0.107710 | − | 0.806012i | ||||
\(979\) | −30.2717 | + | 21.9937i | −0.967487 | + | 0.702920i | ||||
\(980\) | −24.2735 | − | 67.3367i | −0.775389 | − | 2.15099i | ||||
\(981\) | 0.776698 | + | 0.564304i | 0.0247981 | + | 0.0180168i | ||||
\(982\) | 22.6153 | − | 23.7388i | 0.721682 | − | 0.757535i | ||||
\(983\) | −6.39812 | − | 40.3961i | −0.204068 | − | 1.28844i | −0.850707 | − | 0.525640i | \(-0.823826\pi\) |
0.646639 | − | 0.762796i | \(-0.276174\pi\) | |||||||
\(984\) | 4.69017 | − | 19.0452i | 0.149517 | − | 0.607139i | ||||
\(985\) | 5.85573 | − | 11.0345i | 0.186579 | − | 0.351589i | ||||
\(986\) | 0.967732 | + | 2.74979i | 0.0308189 | + | 0.0875712i | ||||
\(987\) | −24.9857 | − | 49.0373i | −0.795305 | − | 1.56087i | ||||
\(988\) | −0.194091 | + | 0.111053i | −0.00617487 | + | 0.00353308i | ||||
\(989\) | −9.70152 | + | 3.15222i | −0.308490 | + | 0.100235i | ||||
\(990\) | 6.03895 | + | 5.94799i | 0.191930 | + | 0.189039i | ||||
\(991\) | 52.3225 | + | 17.0006i | 1.66208 | + | 0.540043i | 0.981307 | − | 0.192451i | \(-0.0616436\pi\) |
0.680774 | + | 0.732494i | \(0.261644\pi\) | |||||||
\(992\) | −36.1935 | + | 10.3388i | −1.14914 | + | 0.328258i | ||||
\(993\) | 1.44726 | − | 1.44726i | 0.0459274 | − | 0.0459274i | ||||
\(994\) | −62.8734 | + | 91.1009i | −1.99422 | + | 2.88955i | ||||
\(995\) | −13.1240 | + | 38.2151i | −0.416058 | + | 1.21150i | ||||
\(996\) | 9.73948 | − | 7.82428i | 0.308607 | − | 0.247922i | ||||
\(997\) | 33.8775 | + | 5.36566i | 1.07291 | + | 0.169932i | 0.667804 | − | 0.744337i | \(-0.267235\pi\) |
0.405106 | + | 0.914270i | \(0.367235\pi\) | |||||||
\(998\) | −18.4527 | + | 38.4939i | −0.584111 | + | 1.21850i | ||||
\(999\) | −9.38730 | −0.297001 |
(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 | 300.2.w.a.67.20 | ✓ | 240 | |
3.2 | odd | 2 | 900.2.bj.f.667.11 | 240 | |||
4.3 | odd | 2 | inner | 300.2.w.a.67.21 | yes | 240 | |
12.11 | even | 2 | 900.2.bj.f.667.10 | 240 | |||
25.3 | odd | 20 | inner | 300.2.w.a.103.21 | yes | 240 | |
75.53 | even | 20 | 900.2.bj.f.703.10 | 240 | |||
100.3 | even | 20 | inner | 300.2.w.a.103.20 | yes | 240 | |
300.203 | odd | 20 | 900.2.bj.f.703.11 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.w.a.67.20 | ✓ | 240 | 1.1 | even | 1 | trivial | |
300.2.w.a.67.21 | yes | 240 | 4.3 | odd | 2 | inner | |
300.2.w.a.103.20 | yes | 240 | 100.3 | even | 20 | inner | |
300.2.w.a.103.21 | yes | 240 | 25.3 | odd | 20 | inner | |
900.2.bj.f.667.10 | 240 | 12.11 | even | 2 | |||
900.2.bj.f.667.11 | 240 | 3.2 | odd | 2 | |||
900.2.bj.f.703.10 | 240 | 75.53 | even | 20 | |||
900.2.bj.f.703.11 | 240 | 300.203 | odd | 20 |