Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(293,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 5, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.293");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.cc (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(84\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 293.13 | ||
Character | \(\chi\) | \(=\) | 504.293 |
Dual form | 504.2.cc.b.461.13 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.21983 | − | 0.715553i | −0.862550 | − | 0.505972i | ||||
\(3\) | −1.72909 | + | 0.101211i | −0.998291 | + | 0.0584341i | ||||
\(4\) | 0.975968 | + | 1.74571i | 0.487984 | + | 0.872853i | ||||
\(5\) | 2.82704 | + | 1.63219i | 1.26429 | + | 0.729938i | 0.973902 | − | 0.226971i | \(-0.0728822\pi\) |
0.290388 | + | 0.956909i | \(0.406216\pi\) | |||||||
\(6\) | 2.18162 | + | 1.11380i | 0.890642 | + | 0.454705i | ||||
\(7\) | 2.40792 | − | 1.09632i | 0.910108 | − | 0.414372i | ||||
\(8\) | 0.0586299 | − | 2.82782i | 0.0207288 | − | 0.999785i | ||||
\(9\) | 2.97951 | − | 0.350006i | 0.993171 | − | 0.116669i | ||||
\(10\) | −2.28058 | − | 4.01389i | −0.721184 | − | 1.26930i | ||||
\(11\) | −0.686803 | − | 1.18958i | −0.207079 | − | 0.358671i | 0.743714 | − | 0.668498i | \(-0.233062\pi\) |
−0.950793 | + | 0.309826i | \(0.899729\pi\) | |||||||
\(12\) | −1.86422 | − | 2.91970i | −0.538155 | − | 0.842846i | ||||
\(13\) | −2.68129 | + | 4.64414i | −0.743657 | + | 1.28805i | 0.207163 | + | 0.978306i | \(0.433577\pi\) |
−0.950820 | + | 0.309745i | \(0.899756\pi\) | |||||||
\(14\) | −3.72173 | − | 0.385664i | −0.994674 | − | 0.103073i | ||||
\(15\) | −5.05340 | − | 2.53608i | −1.30478 | − | 0.654813i | ||||
\(16\) | −2.09497 | + | 3.40750i | −0.523743 | + | 0.851876i | ||||
\(17\) | 3.79810 | 0.921174 | 0.460587 | − | 0.887614i | \(-0.347639\pi\) | ||||
0.460587 | + | 0.887614i | \(0.347639\pi\) | |||||||
\(18\) | −3.88495 | − | 1.70505i | −0.915690 | − | 0.401885i | ||||
\(19\) | 3.20217 | 0.734627 | 0.367314 | − | 0.930097i | \(-0.380278\pi\) | ||||
0.367314 | + | 0.930097i | \(0.380278\pi\) | |||||||
\(20\) | −0.0902258 | + | 6.52814i | −0.0201751 | + | 1.45974i | ||||
\(21\) | −4.05255 | + | 2.13935i | −0.884339 | + | 0.466845i | ||||
\(22\) | −0.0134232 | + | 1.94253i | −0.00286185 | + | 0.414148i | ||||
\(23\) | −4.84839 | − | 2.79922i | −1.01096 | − | 0.583678i | −0.0994868 | − | 0.995039i | \(-0.531720\pi\) |
−0.911472 | + | 0.411361i | \(0.865053\pi\) | |||||||
\(24\) | 0.184830 | + | 4.89549i | 0.0377282 | + | 0.999288i | ||||
\(25\) | 2.82809 | + | 4.89840i | 0.565619 | + | 0.979681i | ||||
\(26\) | 6.59385 | − | 3.74645i | 1.29316 | − | 0.734739i | ||||
\(27\) | −5.11642 | + | 0.906751i | −0.984656 | + | 0.174504i | ||||
\(28\) | 4.26391 | + | 3.13354i | 0.805803 | + | 0.592183i | ||||
\(29\) | −2.33896 | − | 4.05120i | −0.434335 | − | 0.752290i | 0.562906 | − | 0.826521i | \(-0.309683\pi\) |
−0.997241 | + | 0.0742310i | \(0.976350\pi\) | |||||||
\(30\) | 4.34959 | + | 6.70956i | 0.794123 | + | 1.22499i | ||||
\(31\) | 8.72073 | + | 5.03492i | 1.56629 | + | 0.904298i | 0.996596 | + | 0.0824408i | \(0.0262715\pi\) |
0.569694 | + | 0.821857i | \(0.307062\pi\) | |||||||
\(32\) | 4.99376 | − | 2.65751i | 0.882780 | − | 0.469786i | ||||
\(33\) | 1.30794 | + | 1.98738i | 0.227684 | + | 0.345958i | ||||
\(34\) | −4.63303 | − | 2.71774i | −0.794559 | − | 0.466089i | ||||
\(35\) | 8.59669 | + | 0.830833i | 1.45311 | + | 0.140436i | ||||
\(36\) | 3.51892 | + | 4.85976i | 0.586486 | + | 0.809959i | ||||
\(37\) | 5.62919i | 0.925433i | 0.886506 | + | 0.462716i | \(0.153125\pi\) | ||||
−0.886506 | + | 0.462716i | \(0.846875\pi\) | |||||||
\(38\) | −3.90610 | − | 2.29132i | −0.633653 | − | 0.371701i | ||||
\(39\) | 4.16616 | − | 8.30151i | 0.667120 | − | 1.32931i | ||||
\(40\) | 4.78129 | − | 7.89866i | 0.755988 | − | 1.24889i | ||||
\(41\) | −0.912990 | + | 1.58135i | −0.142585 | + | 0.246965i | −0.928469 | − | 0.371409i | \(-0.878875\pi\) |
0.785884 | + | 0.618374i | \(0.212208\pi\) | |||||||
\(42\) | 6.47424 | + | 0.290170i | 0.998997 | + | 0.0447741i | ||||
\(43\) | 3.05057 | − | 1.76125i | 0.465207 | − | 0.268588i | −0.249024 | − | 0.968497i | \(-0.580110\pi\) |
0.714231 | + | 0.699910i | \(0.246776\pi\) | |||||||
\(44\) | 1.40635 | − | 2.35995i | 0.212016 | − | 0.355775i | ||||
\(45\) | 8.99447 | + | 3.87365i | 1.34082 | + | 0.577450i | ||||
\(46\) | 3.91122 | + | 6.88385i | 0.576678 | + | 1.01497i | ||||
\(47\) | −2.22135 | − | 3.84748i | −0.324017 | − | 0.561213i | 0.657296 | − | 0.753632i | \(-0.271700\pi\) |
−0.981313 | + | 0.192419i | \(0.938367\pi\) | |||||||
\(48\) | 3.27752 | − | 6.10392i | 0.473070 | − | 0.881025i | ||||
\(49\) | 4.59615 | − | 5.27972i | 0.656592 | − | 0.754246i | ||||
\(50\) | 0.0552738 | − | 7.99887i | 0.00781689 | − | 1.13121i | ||||
\(51\) | −6.56726 | + | 0.384409i | −0.919600 | + | 0.0538280i | ||||
\(52\) | −10.7241 | − | 0.148219i | −1.48717 | − | 0.0205543i | ||||
\(53\) | 10.3327 | 1.41930 | 0.709652 | − | 0.704552i | \(-0.248852\pi\) | ||||
0.709652 | + | 0.704552i | \(0.248852\pi\) | |||||||
\(54\) | 6.88999 | + | 2.55499i | 0.937609 | + | 0.347690i | ||||
\(55\) | − | 4.48398i | − | 0.604619i | ||||||
\(56\) | −2.95903 | − | 6.87344i | −0.395417 | − | 0.918502i | ||||
\(57\) | −5.53684 | + | 0.324094i | −0.733372 | + | 0.0429273i | ||||
\(58\) | −0.0457139 | + | 6.61543i | −0.00600253 | + | 0.868648i | ||||
\(59\) | 3.09566 | + | 1.78728i | 0.403021 | + | 0.232684i | 0.687787 | − | 0.725913i | \(-0.258583\pi\) |
−0.284766 | + | 0.958597i | \(0.591916\pi\) | |||||||
\(60\) | −0.504710 | − | 11.2969i | −0.0651578 | − | 1.45842i | ||||
\(61\) | 4.64085 | + | 8.03819i | 0.594200 | + | 1.02918i | 0.993659 | + | 0.112434i | \(0.0358646\pi\) |
−0.399459 | + | 0.916751i | \(0.630802\pi\) | |||||||
\(62\) | −7.03506 | − | 12.3819i | −0.893453 | − | 1.57250i | ||||
\(63\) | 6.79070 | − | 4.10930i | 0.855548 | − | 0.517723i | ||||
\(64\) | −7.99313 | − | 0.331589i | −0.999141 | − | 0.0414487i | ||||
\(65\) | −15.1602 | + | 8.75276i | −1.88040 | + | 1.08565i | ||||
\(66\) | −0.173395 | − | 3.36016i | −0.0213434 | − | 0.413608i | ||||
\(67\) | −6.76364 | − | 3.90499i | −0.826310 | − | 0.477070i | 0.0262775 | − | 0.999655i | \(-0.491635\pi\) |
−0.852588 | + | 0.522584i | \(0.824968\pi\) | |||||||
\(68\) | 3.70682 | + | 6.63036i | 0.449518 | + | 0.804049i | ||||
\(69\) | 8.66662 | + | 4.34940i | 1.04334 | + | 0.523606i | ||||
\(70\) | −9.89199 | − | 7.16486i | −1.18232 | − | 0.856364i | ||||
\(71\) | 8.74884i | 1.03830i | 0.854684 | + | 0.519148i | \(0.173751\pi\) | ||||
−0.854684 | + | 0.519148i | \(0.826249\pi\) | |||||||
\(72\) | −0.815064 | − | 8.44604i | −0.0960563 | − | 0.995376i | ||||
\(73\) | − | 1.82906i | − | 0.214075i | −0.994255 | − | 0.107038i | \(-0.965863\pi\) | ||
0.994255 | − | 0.107038i | \(-0.0341365\pi\) | |||||||
\(74\) | 4.02798 | − | 6.86665i | 0.468243 | − | 0.798232i | ||||
\(75\) | −5.38581 | − | 8.18355i | −0.621899 | − | 0.944955i | ||||
\(76\) | 3.12521 | + | 5.59004i | 0.358486 | + | 0.641221i | ||||
\(77\) | −2.95793 | − | 2.11145i | −0.337087 | − | 0.240622i | ||||
\(78\) | −11.0222 | + | 7.14532i | −1.24802 | + | 0.809048i | ||||
\(79\) | 7.58602 | + | 13.1394i | 0.853494 | + | 1.47829i | 0.878035 | + | 0.478596i | \(0.158854\pi\) |
−0.0245416 | + | 0.999699i | \(0.507813\pi\) | |||||||
\(80\) | −11.4843 | + | 6.21375i | −1.28398 | + | 0.694718i | ||||
\(81\) | 8.75499 | − | 2.08569i | 0.972777 | − | 0.231744i | ||||
\(82\) | 2.24523 | − | 1.27568i | 0.247944 | − | 0.140875i | ||||
\(83\) | −1.91103 | + | 1.10333i | −0.209763 | + | 0.121106i | −0.601201 | − | 0.799098i | \(-0.705311\pi\) |
0.391439 | + | 0.920204i | \(0.371978\pi\) | |||||||
\(84\) | −7.68984 | − | 4.98662i | −0.839030 | − | 0.544085i | ||||
\(85\) | 10.7374 | + | 6.19922i | 1.16463 | + | 0.672400i | ||||
\(86\) | −4.98144 | − | 0.0344227i | −0.537162 | − | 0.00371190i | ||||
\(87\) | 4.45431 | + | 6.76817i | 0.477552 | + | 0.725624i | ||||
\(88\) | −3.40418 | + | 1.87241i | −0.362887 | + | 0.199600i | ||||
\(89\) | 5.81840 | 0.616749 | 0.308375 | − | 0.951265i | \(-0.400215\pi\) | ||||
0.308375 | + | 0.951265i | \(0.400215\pi\) | |||||||
\(90\) | −8.19992 | − | 11.1612i | −0.864347 | − | 1.17650i | ||||
\(91\) | −1.36486 | + | 14.1223i | −0.143076 | + | 1.48042i | ||||
\(92\) | 0.154738 | − | 11.1958i | 0.0161325 | − | 1.16724i | ||||
\(93\) | −15.5885 | − | 7.82320i | −1.61646 | − | 0.811228i | ||||
\(94\) | −0.0434152 | + | 6.28277i | −0.00447793 | + | 0.648018i | ||||
\(95\) | 9.05264 | + | 5.22655i | 0.928782 | + | 0.536232i | ||||
\(96\) | −8.36570 | + | 5.10050i | −0.853820 | + | 0.520568i | ||||
\(97\) | −14.4240 | + | 8.32773i | −1.46454 | + | 0.845553i | −0.999216 | − | 0.0395876i | \(-0.987396\pi\) |
−0.465324 | + | 0.885140i | \(0.654062\pi\) | |||||||
\(98\) | −9.38443 | + | 3.15157i | −0.947971 | + | 0.318357i | ||||
\(99\) | −2.46270 | − | 3.30398i | −0.247510 | − | 0.332062i | ||||
\(100\) | −5.79104 | + | 9.71770i | −0.579104 | + | 0.971770i | ||||
\(101\) | 0.458979 | − | 0.264992i | 0.0456701 | − | 0.0263676i | −0.476991 | − | 0.878908i | \(-0.658273\pi\) |
0.522661 | + | 0.852540i | \(0.324939\pi\) | |||||||
\(102\) | 8.28600 | + | 4.23031i | 0.820437 | + | 0.418863i | ||||
\(103\) | −14.7523 | − | 8.51727i | −1.45359 | − | 0.839231i | −0.454909 | − | 0.890538i | \(-0.650328\pi\) |
−0.998683 | + | 0.0513066i | \(0.983661\pi\) | |||||||
\(104\) | 12.9756 | + | 7.85450i | 1.27236 | + | 0.770197i | ||||
\(105\) | −14.9485 | − | 0.566507i | −1.45883 | − | 0.0552854i | ||||
\(106\) | −12.6041 | − | 7.39359i | −1.22422 | − | 0.718128i | ||||
\(107\) | 0.808964 | 0.0782055 | 0.0391028 | − | 0.999235i | \(-0.487550\pi\) | ||||
0.0391028 | + | 0.999235i | \(0.487550\pi\) | |||||||
\(108\) | −6.57639 | − | 8.04681i | −0.632813 | − | 0.774305i | ||||
\(109\) | − | 16.2402i | − | 1.55552i | −0.628558 | − | 0.777762i | \(-0.716355\pi\) | ||
0.628558 | − | 0.777762i | \(-0.283645\pi\) | |||||||
\(110\) | −3.20852 | + | 5.46969i | −0.305921 | + | 0.521514i | ||||
\(111\) | −0.569735 | − | 9.73338i | −0.0540769 | − | 0.923852i | ||||
\(112\) | −1.30879 | + | 10.5018i | −0.123669 | + | 0.992323i | ||||
\(113\) | −0.101810 | − | 0.0587799i | −0.00957746 | − | 0.00552955i | 0.495204 | − | 0.868777i | \(-0.335093\pi\) |
−0.504781 | + | 0.863247i | \(0.668427\pi\) | |||||||
\(114\) | 6.98590 | + | 3.56656i | 0.654290 | + | 0.334039i | ||||
\(115\) | −9.13772 | − | 15.8270i | −0.852097 | − | 1.47588i | ||||
\(116\) | 4.78945 | − | 8.03699i | 0.444690 | − | 0.746215i | ||||
\(117\) | −6.36347 | + | 14.7757i | −0.588303 | + | 1.36602i | ||||
\(118\) | −2.49728 | − | 4.39529i | −0.229894 | − | 0.404619i | ||||
\(119\) | 9.14551 | − | 4.16395i | 0.838368 | − | 0.381709i | ||||
\(120\) | −7.46786 | + | 14.1414i | −0.681719 | + | 1.29093i | ||||
\(121\) | 4.55660 | − | 7.89227i | 0.414237 | − | 0.717479i | ||||
\(122\) | 0.0907032 | − | 13.1260i | 0.00821188 | − | 1.18837i | ||||
\(123\) | 1.41859 | − | 2.82669i | 0.127910 | − | 0.254874i | ||||
\(124\) | −0.278325 | + | 20.1377i | −0.0249943 | + | 1.80842i | ||||
\(125\) | 2.14205i | 0.191591i | ||||||||
\(126\) | −11.2239 | + | 0.153534i | −0.999906 | + | 0.0136779i | ||||
\(127\) | 2.61604 | 0.232136 | 0.116068 | − | 0.993241i | \(-0.462971\pi\) | ||||
0.116068 | + | 0.993241i | \(0.462971\pi\) | |||||||
\(128\) | 9.51298 | + | 6.12399i | 0.840837 | + | 0.541289i | ||||
\(129\) | −5.09645 | + | 3.35411i | −0.448718 | + | 0.295313i | ||||
\(130\) | 24.7560 | + | 0.171069i | 2.17124 | + | 0.0150037i | ||||
\(131\) | −8.31237 | − | 4.79915i | −0.726255 | − | 0.419303i | 0.0907956 | − | 0.995870i | \(-0.471059\pi\) |
−0.817051 | + | 0.576566i | \(0.804392\pi\) | |||||||
\(132\) | −2.19286 | + | 4.22290i | −0.190864 | + | 0.367556i | ||||
\(133\) | 7.71056 | − | 3.51061i | 0.668590 | − | 0.304409i | ||||
\(134\) | 5.45626 | + | 9.60316i | 0.471349 | + | 0.829587i | ||||
\(135\) | −15.9443 | − | 5.78756i | −1.37227 | − | 0.498114i | ||||
\(136\) | 0.222682 | − | 10.7403i | 0.0190948 | − | 0.920977i | ||||
\(137\) | −11.8679 | + | 6.85192i | −1.01394 | + | 0.585399i | −0.912343 | − | 0.409426i | \(-0.865729\pi\) |
−0.101598 | + | 0.994826i | \(0.532396\pi\) | |||||||
\(138\) | −7.45958 | − | 11.5069i | −0.635001 | − | 0.979536i | ||||
\(139\) | −1.08802 | + | 1.88450i | −0.0922844 | + | 0.159841i | −0.908472 | − | 0.417946i | \(-0.862750\pi\) |
0.816188 | + | 0.577787i | \(0.196084\pi\) | |||||||
\(140\) | 6.93970 | + | 15.8181i | 0.586512 | + | 1.33688i | ||||
\(141\) | 4.23032 | + | 6.42783i | 0.356257 | + | 0.541321i | ||||
\(142\) | 6.26026 | − | 10.6721i | 0.525349 | − | 0.895582i | ||||
\(143\) | 7.36608 | 0.615983 | ||||||||
\(144\) | −5.04935 | + | 10.8860i | −0.420779 | + | 0.907163i | ||||
\(145\) | − | 15.2705i | − | 1.26815i | ||||||
\(146\) | −1.30879 | + | 2.23114i | −0.108316 | + | 0.184650i | ||||
\(147\) | −7.41279 | + | 9.59430i | −0.611397 | + | 0.791324i | ||||
\(148\) | −9.82690 | + | 5.49391i | −0.807767 | + | 0.451596i | ||||
\(149\) | 6.36891 | − | 11.0313i | 0.521761 | − | 0.903717i | −0.477919 | − | 0.878404i | \(-0.658609\pi\) |
0.999680 | − | 0.0253125i | \(-0.00805807\pi\) | |||||||
\(150\) | 0.713999 | + | 13.8364i | 0.0582978 | + | 1.12973i | ||||
\(151\) | 2.61458 | + | 4.52858i | 0.212771 | + | 0.368531i | 0.952581 | − | 0.304286i | \(-0.0984177\pi\) |
−0.739809 | + | 0.672816i | \(0.765084\pi\) | |||||||
\(152\) | 0.187743 | − | 9.05515i | 0.0152279 | − | 0.734470i | ||||
\(153\) | 11.3165 | − | 1.32936i | 0.914884 | − | 0.107472i | ||||
\(154\) | 2.09732 | + | 4.69216i | 0.169007 | + | 0.378105i | ||||
\(155\) | 16.4359 | + | 28.4678i | 1.32016 | + | 2.28659i | ||||
\(156\) | 18.5580 | − | 0.829116i | 1.48583 | − | 0.0663824i | ||||
\(157\) | 8.36599 | − | 14.4903i | 0.667679 | − | 1.15645i | −0.310873 | − | 0.950452i | \(-0.600621\pi\) |
0.978552 | − | 0.206002i | \(-0.0660454\pi\) | |||||||
\(158\) | 0.148265 | − | 21.4560i | 0.0117953 | − | 1.70695i | ||||
\(159\) | −17.8662 | + | 1.04578i | −1.41688 | + | 0.0829358i | ||||
\(160\) | 18.4551 | + | 0.637886i | 1.45900 | + | 0.0504293i | ||||
\(161\) | −14.7434 | − | 1.42488i | −1.16194 | − | 0.112297i | ||||
\(162\) | −12.1720 | − | 3.72047i | −0.956324 | − | 0.292308i | ||||
\(163\) | − | 11.5448i | − | 0.904257i | −0.891953 | − | 0.452128i | \(-0.850665\pi\) | ||
0.891953 | − | 0.452128i | \(-0.149335\pi\) | |||||||
\(164\) | −3.65161 | − | 0.0504691i | −0.285143 | − | 0.00394098i | ||||
\(165\) | 0.453827 | + | 7.75320i | 0.0353304 | + | 0.603586i | ||||
\(166\) | 3.12062 | + | 0.0215641i | 0.242207 | + | 0.00167370i | ||||
\(167\) | −2.14524 | + | 3.71567i | −0.166004 | + | 0.287527i | −0.937011 | − | 0.349299i | \(-0.886420\pi\) |
0.771007 | + | 0.636826i | \(0.219753\pi\) | |||||||
\(168\) | 5.81210 | + | 11.5853i | 0.448413 | + | 0.893826i | ||||
\(169\) | −7.87867 | − | 13.6462i | −0.606051 | − | 1.04971i | ||||
\(170\) | −8.66189 | − | 15.2452i | −0.664337 | − | 1.16925i | ||||
\(171\) | 9.54090 | − | 1.12078i | 0.729611 | − | 0.0857079i | ||||
\(172\) | 6.05187 | + | 3.60647i | 0.461451 | + | 0.274991i | ||||
\(173\) | −1.84020 | + | 1.06244i | −0.139908 | + | 0.0807760i | −0.568320 | − | 0.822807i | \(-0.692407\pi\) |
0.428412 | + | 0.903583i | \(0.359073\pi\) | |||||||
\(174\) | −0.590510 | − | 11.4433i | −0.0447664 | − | 0.867515i | ||||
\(175\) | 12.1801 | + | 8.69445i | 0.920726 | + | 0.657239i | ||||
\(176\) | 5.49233 | + | 0.151849i | 0.414000 | + | 0.0114460i | ||||
\(177\) | −5.53357 | − | 2.77706i | −0.415929 | − | 0.208736i | ||||
\(178\) | −7.09746 | − | 4.16337i | −0.531977 | − | 0.312058i | ||||
\(179\) | −21.0209 | −1.57118 | −0.785589 | − | 0.618749i | \(-0.787640\pi\) | ||||
−0.785589 | + | 0.618749i | \(0.787640\pi\) | |||||||
\(180\) | 2.01606 | + | 19.4823i | 0.150268 | + | 1.45212i | ||||
\(181\) | −3.02613 | −0.224931 | −0.112465 | − | 0.993656i | \(-0.535875\pi\) | ||||
−0.112465 | + | 0.993656i | \(0.535875\pi\) | |||||||
\(182\) | 11.7701 | − | 16.2501i | 0.872460 | − | 1.20454i | ||||
\(183\) | −8.83801 | − | 13.4291i | −0.653324 | − | 0.992704i | ||||
\(184\) | −8.19995 | + | 13.5463i | −0.604508 | + | 0.998643i | ||||
\(185\) | −9.18791 | + | 15.9139i | −0.675509 | + | 1.17002i | ||||
\(186\) | 13.4174 | + | 20.6974i | 0.983814 | + | 1.51761i | ||||
\(187\) | −2.60855 | − | 4.51814i | −0.190756 | − | 0.330399i | ||||
\(188\) | 4.54861 | − | 7.63284i | 0.331741 | − | 0.556682i | ||||
\(189\) | −11.3258 | + | 7.79264i | −0.823834 | + | 0.566831i | ||||
\(190\) | −7.30281 | − | 12.8531i | −0.529802 | − | 0.932465i | ||||
\(191\) | −2.10035 | + | 1.21264i | −0.151976 | + | 0.0877433i | −0.574059 | − | 0.818814i | \(-0.694632\pi\) |
0.422084 | + | 0.906557i | \(0.361299\pi\) | |||||||
\(192\) | 13.8544 | − | 0.235643i | 0.999855 | − | 0.0170061i | ||||
\(193\) | 5.62172 | − | 9.73710i | 0.404660 | − | 0.700892i | −0.589622 | − | 0.807679i | \(-0.700723\pi\) |
0.994282 | + | 0.106788i | \(0.0340565\pi\) | |||||||
\(194\) | 23.5538 | + | 0.162762i | 1.69107 | + | 0.0116856i | ||||
\(195\) | 25.3276 | − | 16.6687i | 1.81374 | − | 1.19367i | ||||
\(196\) | 13.7025 | + | 2.87068i | 0.978752 | + | 0.205048i | ||||
\(197\) | −7.37332 | −0.525328 | −0.262664 | − | 0.964887i | \(-0.584601\pi\) | ||||
−0.262664 | + | 0.964887i | \(0.584601\pi\) | |||||||
\(198\) | 0.639901 | + | 5.79248i | 0.0454758 | + | 0.411654i | ||||
\(199\) | − | 8.19951i | − | 0.581248i | −0.956837 | − | 0.290624i | \(-0.906137\pi\) | ||
0.956837 | − | 0.290624i | \(-0.0938629\pi\) | |||||||
\(200\) | 14.0176 | − | 7.71015i | 0.991195 | − | 0.545190i | ||||
\(201\) | 12.0902 | + | 6.06753i | 0.852775 | + | 0.427970i | ||||
\(202\) | −0.749491 | − | 0.00517914i | −0.0527340 | − | 0.000364403i | ||||
\(203\) | −10.0735 | − | 7.19071i | −0.707019 | − | 0.504689i | ||||
\(204\) | −7.08050 | − | 11.0893i | −0.495734 | − | 0.776408i | ||||
\(205\) | −5.16211 | + | 2.98035i | −0.360538 | + | 0.208157i | ||||
\(206\) | 11.9008 | + | 20.9457i | 0.829167 | + | 1.45936i | ||||
\(207\) | −15.4256 | − | 6.64335i | −1.07215 | − | 0.461744i | ||||
\(208\) | −10.2077 | − | 18.8659i | −0.707775 | − | 1.30811i | ||||
\(209\) | −2.19926 | − | 3.80923i | −0.152126 | − | 0.263490i | ||||
\(210\) | 17.8293 | + | 11.3875i | 1.23034 | + | 0.785813i | ||||
\(211\) | −13.4385 | − | 7.75871i | −0.925143 | − | 0.534132i | −0.0398710 | − | 0.999205i | \(-0.512695\pi\) |
−0.885272 | + | 0.465073i | \(0.846028\pi\) | |||||||
\(212\) | 10.0844 | + | 18.0378i | 0.692598 | + | 1.23884i | ||||
\(213\) | −0.885478 | − | 15.1275i | −0.0606719 | − | 1.03652i | ||||
\(214\) | −0.986798 | − | 0.578857i | −0.0674561 | − | 0.0395698i | ||||
\(215\) | 11.4988 | 0.784209 | ||||||||
\(216\) | 2.26415 | + | 14.5215i | 0.154056 | + | 0.988062i | ||||
\(217\) | 26.5187 | + | 2.56292i | 1.80021 | + | 0.173982i | ||||
\(218\) | −11.6207 | + | 19.8102i | −0.787052 | + | 1.34172i | ||||
\(219\) | 0.185121 | + | 3.16261i | 0.0125093 | + | 0.213709i | ||||
\(220\) | 7.82770 | − | 4.37622i | 0.527743 | − | 0.295045i | ||||
\(221\) | −10.1838 | + | 17.6389i | −0.685038 | + | 1.18652i | ||||
\(222\) | −6.26977 | + | 12.2807i | −0.420799 | + | 0.824229i | ||||
\(223\) | −10.7965 | + | 6.23338i | −0.722989 | + | 0.417418i | −0.815852 | − | 0.578261i | \(-0.803732\pi\) |
0.0928628 | + | 0.995679i | \(0.470398\pi\) | |||||||
\(224\) | 9.11107 | − | 11.8739i | 0.608759 | − | 0.793355i | ||||
\(225\) | 10.1408 | + | 13.6050i | 0.676054 | + | 0.907000i | ||||
\(226\) | 0.0821305 | + | 0.144552i | 0.00546324 | + | 0.00961544i | ||||
\(227\) | −3.06928 | + | 1.77205i | −0.203715 | + | 0.117615i | −0.598387 | − | 0.801207i | \(-0.704192\pi\) |
0.394672 | + | 0.918822i | \(0.370858\pi\) | |||||||
\(228\) | −5.96955 | − | 9.34938i | −0.395343 | − | 0.619178i | ||||
\(229\) | 5.08642 | − | 8.80994i | 0.336120 | − | 0.582177i | −0.647579 | − | 0.761998i | \(-0.724218\pi\) |
0.983699 | + | 0.179821i | \(0.0575518\pi\) | |||||||
\(230\) | −0.178592 | + | 25.8448i | −0.0117760 | + | 1.70415i | ||||
\(231\) | 5.32823 | + | 3.35151i | 0.350572 | + | 0.220513i | ||||
\(232\) | −11.5932 | + | 6.37664i | −0.761131 | + | 0.418647i | ||||
\(233\) | − | 3.72928i | − | 0.244313i | −0.992511 | − | 0.122157i | \(-0.961019\pi\) | ||
0.992511 | − | 0.122157i | \(-0.0389810\pi\) | |||||||
\(234\) | 18.3352 | − | 13.4705i | 1.19861 | − | 0.880592i | ||||
\(235\) | − | 14.5026i | − | 0.946048i | ||||||
\(236\) | −0.0987990 | + | 7.14844i | −0.00643127 | + | 0.465324i | ||||
\(237\) | −14.4468 | − | 21.9514i | −0.938418 | − | 1.42590i | ||||
\(238\) | −14.1355 | − | 1.46479i | −0.916268 | − | 0.0949483i | ||||
\(239\) | −3.54749 | − | 2.04815i | −0.229468 | − | 0.132484i | 0.380858 | − | 0.924633i | \(-0.375629\pi\) |
−0.610327 | + | 0.792150i | \(0.708962\pi\) | |||||||
\(240\) | 19.2284 | − | 11.9065i | 1.24119 | − | 0.768559i | ||||
\(241\) | 3.88968 | − | 2.24571i | 0.250556 | − | 0.144659i | −0.369463 | − | 0.929246i | \(-0.620458\pi\) |
0.620019 | + | 0.784587i | \(0.287125\pi\) | |||||||
\(242\) | −11.2056 | + | 6.36673i | −0.720324 | + | 0.409269i | ||||
\(243\) | −14.9271 | + | 4.49245i | −0.957573 | + | 0.288191i | ||||
\(244\) | −9.50299 | + | 15.9466i | −0.608366 | + | 1.02087i | ||||
\(245\) | 21.6110 | − | 7.42418i | 1.38068 | − | 0.474314i | ||||
\(246\) | −3.75309 | + | 2.43301i | −0.239288 | + | 0.155123i | ||||
\(247\) | −8.58595 | + | 14.8713i | −0.546311 | + | 0.946238i | ||||
\(248\) | 14.7491 | − | 24.3655i | 0.936571 | − | 1.54721i | ||||
\(249\) | 3.19267 | − | 2.10118i | 0.202327 | − | 0.133157i | ||||
\(250\) | 1.53275 | − | 2.61294i | 0.0969397 | − | 0.165257i | ||||
\(251\) | − | 16.3716i | − | 1.03337i | −0.856176 | − | 0.516685i | \(-0.827166\pi\) | ||
0.856176 | − | 0.516685i | \(-0.172834\pi\) | |||||||
\(252\) | 13.8011 | + | 7.84402i | 0.869390 | + | 0.494127i | ||||
\(253\) | 7.69005i | 0.483469i | ||||||||
\(254\) | −3.19112 | − | 1.87191i | −0.200228 | − | 0.117454i | ||||
\(255\) | −19.1933 | − | 9.63228i | −1.20193 | − | 0.603197i | ||||
\(256\) | −7.22218 | − | 14.2773i | −0.451386 | − | 0.892329i | ||||
\(257\) | 1.65104 | − | 2.85969i | 0.102989 | − | 0.178383i | −0.809926 | − | 0.586533i | \(-0.800493\pi\) |
0.912915 | + | 0.408150i | \(0.133826\pi\) | |||||||
\(258\) | 8.61684 | − | 0.444656i | 0.536461 | − | 0.0276831i | ||||
\(259\) | 6.17142 | + | 13.5546i | 0.383473 | + | 0.842244i | ||||
\(260\) | −30.0756 | − | 17.9229i | −1.86521 | − | 1.11153i | ||||
\(261\) | −8.38692 | − | 11.2520i | −0.519137 | − | 0.696479i | ||||
\(262\) | 6.70563 | + | 11.8021i | 0.414275 | + | 0.729135i | ||||
\(263\) | 20.0232 | − | 11.5604i | 1.23468 | − | 0.712843i | 0.266679 | − | 0.963786i | \(-0.414074\pi\) |
0.968002 | + | 0.250942i | \(0.0807404\pi\) | |||||||
\(264\) | 5.69663 | − | 3.58211i | 0.350603 | − | 0.220464i | ||||
\(265\) | 29.2109 | + | 16.8649i | 1.79441 | + | 1.03600i | ||||
\(266\) | −11.9176 | − | 1.23496i | −0.730715 | − | 0.0757204i | ||||
\(267\) | −10.0605 | + | 0.588885i | −0.615695 | + | 0.0360392i | ||||
\(268\) | 0.215864 | − | 15.6185i | 0.0131860 | − | 0.954050i | ||||
\(269\) | 28.5660i | 1.74170i | 0.491552 | + | 0.870848i | \(0.336430\pi\) | ||||
−0.491552 | + | 0.870848i | \(0.663570\pi\) | |||||||
\(270\) | 15.3080 | + | 18.4688i | 0.931618 | + | 1.12398i | ||||
\(271\) | 24.0898i | 1.46335i | 0.681653 | + | 0.731675i | \(0.261261\pi\) | ||||
−0.681653 | + | 0.731675i | \(0.738739\pi\) | |||||||
\(272\) | −7.95692 | + | 12.9420i | −0.482459 | + | 0.784727i | ||||
\(273\) | 0.930634 | − | 24.5568i | 0.0563245 | − | 1.48625i | ||||
\(274\) | 19.3797 | + | 0.133918i | 1.17077 | + | 0.00809026i | ||||
\(275\) | 3.88469 | − | 6.72848i | 0.234256 | − | 0.405743i | ||||
\(276\) | 0.865582 | + | 19.3742i | 0.0521019 | + | 1.16619i | ||||
\(277\) | 20.4819 | − | 11.8252i | 1.23064 | − | 0.710510i | 0.263476 | − | 0.964666i | \(-0.415131\pi\) |
0.967163 | + | 0.254157i | \(0.0817978\pi\) | |||||||
\(278\) | 2.67565 | − | 1.52024i | 0.160475 | − | 0.0911777i | ||||
\(279\) | 27.7458 | + | 11.9493i | 1.66110 | + | 0.715385i | ||||
\(280\) | 2.85347 | − | 24.2612i | 0.170527 | − | 1.44988i | ||||
\(281\) | −16.3653 | + | 9.44852i | −0.976273 | + | 0.563651i | −0.901143 | − | 0.433522i | \(-0.857271\pi\) |
−0.0751300 | + | 0.997174i | \(0.523937\pi\) | |||||||
\(282\) | −0.560815 | − | 10.8679i | −0.0333961 | − | 0.647172i | ||||
\(283\) | −4.52882 | + | 7.84415i | −0.269210 | + | 0.466286i | −0.968658 | − | 0.248398i | \(-0.920096\pi\) |
0.699448 | + | 0.714684i | \(0.253429\pi\) | |||||||
\(284\) | −15.2729 | + | 8.53859i | −0.906279 | + | 0.506672i | ||||
\(285\) | −16.1818 | − | 8.12095i | −0.958529 | − | 0.481044i | ||||
\(286\) | −8.98537 | − | 5.27082i | −0.531316 | − | 0.311670i | ||||
\(287\) | −0.464739 | + | 4.80868i | −0.0274326 | + | 0.283848i | ||||
\(288\) | 13.9488 | − | 9.66593i | 0.821942 | − | 0.569570i | ||||
\(289\) | −2.57444 | −0.151438 | ||||||||
\(290\) | −10.9269 | + | 18.6275i | −0.641648 | + | 1.09384i | ||||
\(291\) | 24.0976 | − | 15.8593i | 1.41263 | − | 0.929687i | ||||
\(292\) | 3.19300 | − | 1.78510i | 0.186856 | − | 0.104465i | ||||
\(293\) | −5.93608 | − | 3.42720i | −0.346789 | − | 0.200219i | 0.316481 | − | 0.948599i | \(-0.397499\pi\) |
−0.663270 | + | 0.748380i | \(0.730832\pi\) | |||||||
\(294\) | 15.9076 | − | 6.39916i | 0.927748 | − | 0.373207i | ||||
\(295\) | 5.83437 | + | 10.1054i | 0.339690 | + | 0.588360i | ||||
\(296\) | 15.9183 | + | 0.330039i | 0.925234 | + | 0.0191831i | ||||
\(297\) | 4.59263 | + | 5.46363i | 0.266491 | + | 0.317032i | ||||
\(298\) | −15.6624 | + | 8.89898i | −0.907300 | + | 0.515504i | ||||
\(299\) | 25.9999 | − | 15.0111i | 1.50361 | − | 0.868112i | ||||
\(300\) | 9.02970 | − | 17.3889i | 0.521330 | − | 1.00395i | ||||
\(301\) | 5.41462 | − | 7.58535i | 0.312094 | − | 0.437212i | ||||
\(302\) | 0.0511007 | − | 7.39497i | 0.00294052 | − | 0.425533i | ||||
\(303\) | −0.766796 | + | 0.504648i | −0.0440513 | + | 0.0289913i | ||||
\(304\) | −6.70845 | + | 10.9114i | −0.384756 | + | 0.625812i | ||||
\(305\) | 30.2990i | 1.73492i | ||||||||
\(306\) | −14.7554 | − | 6.47596i | −0.843511 | − | 0.370206i | ||||
\(307\) | 1.01107 | 0.0577051 | 0.0288525 | − | 0.999584i | \(-0.490815\pi\) | ||||
0.0288525 | + | 0.999584i | \(0.490815\pi\) | |||||||
\(308\) | 0.799121 | − | 7.22438i | 0.0455342 | − | 0.411647i | ||||
\(309\) | 26.3702 | + | 13.2340i | 1.50015 | + | 0.752858i | ||||
\(310\) | 0.321232 | − | 46.4866i | 0.0182447 | − | 2.64026i | ||||
\(311\) | −4.47545 | + | 7.75170i | −0.253779 | + | 0.439559i | −0.964563 | − | 0.263852i | \(-0.915007\pi\) |
0.710784 | + | 0.703410i | \(0.248340\pi\) | |||||||
\(312\) | −23.2309 | − | 12.2679i | −1.31519 | − | 0.694532i | ||||
\(313\) | −6.22159 | + | 3.59204i | −0.351665 | + | 0.203034i | −0.665418 | − | 0.746471i | \(-0.731747\pi\) |
0.313753 | + | 0.949505i | \(0.398414\pi\) | |||||||
\(314\) | −20.5737 | + | 11.6894i | −1.16104 | + | 0.659672i | ||||
\(315\) | 25.9047 | − | 0.533413i | 1.45957 | − | 0.0300544i | ||||
\(316\) | −15.5338 | + | 26.0666i | −0.873842 | + | 1.46636i | ||||
\(317\) | −12.6556 | − | 21.9201i | −0.710808 | − | 1.23116i | −0.964554 | − | 0.263885i | \(-0.914996\pi\) |
0.253746 | − | 0.967271i | \(-0.418337\pi\) | |||||||
\(318\) | 22.5420 | + | 11.5085i | 1.26409 | + | 0.645365i | ||||
\(319\) | −3.21282 | + | 5.56476i | −0.179883 | + | 0.311567i | ||||
\(320\) | −22.0556 | − | 13.9837i | −1.23295 | − | 0.781714i | ||||
\(321\) | −1.39877 | + | 0.0818760i | −0.0780719 | + | 0.00456987i | ||||
\(322\) | 16.9648 | + | 12.2878i | 0.945413 | + | 0.684772i | ||||
\(323\) | 12.1621 | 0.676720 | ||||||||
\(324\) | 12.1856 | + | 13.2481i | 0.676978 | + | 0.736004i | ||||
\(325\) | −30.3318 | −1.68251 | ||||||||
\(326\) | −8.26090 | + | 14.0827i | −0.457529 | + | 0.779966i | ||||
\(327\) | 1.64368 | + | 28.0807i | 0.0908957 | + | 1.55287i | ||||
\(328\) | 4.41823 | + | 2.67448i | 0.243956 | + | 0.147674i | ||||
\(329\) | −9.56691 | − | 6.82911i | −0.527441 | − | 0.376501i | ||||
\(330\) | 4.99424 | − | 9.78232i | 0.274924 | − | 0.538499i | ||||
\(331\) | 8.38896 | − | 4.84337i | 0.461099 | − | 0.266216i | −0.251407 | − | 0.967881i | \(-0.580893\pi\) |
0.712506 | + | 0.701666i | \(0.247560\pi\) | |||||||
\(332\) | −3.79119 | − | 2.25927i | −0.208069 | − | 0.123994i | ||||
\(333\) | 1.97025 | + | 16.7722i | 0.107969 | + | 0.919113i | ||||
\(334\) | 5.27559 | − | 2.99745i | 0.288668 | − | 0.164013i | ||||
\(335\) | −12.7474 | − | 22.0791i | −0.696464 | − | 1.20631i | ||||
\(336\) | 1.20013 | − | 18.2910i | 0.0654725 | − | 0.997854i | ||||
\(337\) | −3.71267 | + | 6.43053i | −0.202242 | + | 0.350293i | −0.949250 | − | 0.314521i | \(-0.898156\pi\) |
0.747009 | + | 0.664814i | \(0.231489\pi\) | |||||||
\(338\) | −0.153985 | + | 22.2837i | −0.00837567 | + | 1.21207i | ||||
\(339\) | 0.181988 | + | 0.0913316i | 0.00988421 | + | 0.00496045i | ||||
\(340\) | −0.342687 | + | 24.7945i | −0.0185848 | + | 1.34467i | ||||
\(341\) | − | 13.8320i | − | 0.749044i | ||||||
\(342\) | −12.4402 | − | 5.45986i | −0.672691 | − | 0.295235i | ||||
\(343\) | 5.27886 | − | 17.7520i | 0.285032 | − | 0.958518i | ||||
\(344\) | −4.80163 | − | 8.72972i | −0.258887 | − | 0.470675i | ||||
\(345\) | 17.4018 | + | 26.4415i | 0.936882 | + | 1.42356i | ||||
\(346\) | 3.00497 | + | 0.0207649i | 0.161548 | + | 0.00111633i | ||||
\(347\) | −14.9417 | + | 25.8798i | −0.802114 | + | 1.38930i | 0.116107 | + | 0.993237i | \(0.462958\pi\) |
−0.918222 | + | 0.396066i | \(0.870375\pi\) | |||||||
\(348\) | −7.46797 | + | 14.3814i | −0.400325 | + | 0.770925i | ||||
\(349\) | 3.74785 | + | 6.49147i | 0.200618 | + | 0.347481i | 0.948728 | − | 0.316094i | \(-0.102372\pi\) |
−0.748110 | + | 0.663575i | \(0.769038\pi\) | |||||||
\(350\) | −8.63626 | − | 19.3212i | −0.461628 | − | 1.03276i | ||||
\(351\) | 9.50756 | − | 26.1926i | 0.507476 | − | 1.39806i | ||||
\(352\) | −6.59105 | − | 4.11528i | −0.351304 | − | 0.219345i | ||||
\(353\) | −13.2046 | − | 22.8711i | −0.702812 | − | 1.21731i | −0.967475 | − | 0.252965i | \(-0.918594\pi\) |
0.264663 | − | 0.964341i | \(-0.414739\pi\) | |||||||
\(354\) | 4.76288 | + | 7.34710i | 0.253144 | + | 0.390494i | ||||
\(355\) | −14.2798 | + | 24.7333i | −0.757892 | + | 1.31271i | ||||
\(356\) | 5.67857 | + | 10.1572i | 0.300964 | + | 0.538331i | ||||
\(357\) | −15.3920 | + | 8.12547i | −0.814631 | + | 0.430046i | ||||
\(358\) | 25.6420 | + | 15.0416i | 1.35522 | + | 0.794973i | ||||
\(359\) | 11.4797i | 0.605875i | 0.953010 | + | 0.302937i | \(0.0979673\pi\) | ||||
−0.953010 | + | 0.302937i | \(0.902033\pi\) | |||||||
\(360\) | 11.4813 | − | 25.2076i | 0.605120 | − | 1.32856i | ||||
\(361\) | −8.74613 | −0.460323 | ||||||||
\(362\) | 3.69136 | + | 2.16536i | 0.194014 | + | 0.113809i | ||||
\(363\) | −7.08000 | + | 14.1076i | −0.371604 | + | 0.740458i | ||||
\(364\) | −25.9854 | + | 11.4002i | −1.36200 | + | 0.597535i | ||||
\(365\) | 2.98537 | − | 5.17082i | 0.156262 | − | 0.270653i | ||||
\(366\) | 1.17166 | + | 22.7052i | 0.0612436 | + | 1.18682i | ||||
\(367\) | 3.90010 | − | 2.25172i | 0.203583 | − | 0.117539i | −0.394742 | − | 0.918792i | \(-0.629166\pi\) |
0.598326 | + | 0.801253i | \(0.295833\pi\) | |||||||
\(368\) | 19.6956 | − | 10.6566i | 1.02670 | − | 0.555515i | ||||
\(369\) | −2.16679 | + | 5.03119i | −0.112798 | + | 0.261913i | ||||
\(370\) | 22.5949 | − | 12.8378i | 1.17466 | − | 0.667408i | ||||
\(371\) | 24.8803 | − | 11.3280i | 1.29172 | − | 0.588119i | ||||
\(372\) | −1.55691 | − | 34.8482i | −0.0807220 | − | 1.80679i | ||||
\(373\) | −26.3500 | − | 15.2132i | −1.36435 | − | 0.787707i | −0.374150 | − | 0.927368i | \(-0.622065\pi\) |
−0.990199 | + | 0.139661i | \(0.955399\pi\) | |||||||
\(374\) | −0.0509828 | + | 7.37791i | −0.00263626 | + | 0.381503i | ||||
\(375\) | −0.216799 | − | 3.70380i | −0.0111955 | − | 0.191264i | ||||
\(376\) | −11.0102 | + | 6.05599i | −0.567809 | + | 0.312314i | ||||
\(377\) | 25.0858 | 1.29198 | ||||||||
\(378\) | 19.3916 | − | 1.40146i | 0.997399 | − | 0.0720832i | ||||
\(379\) | − | 22.2755i | − | 1.14421i | −0.820179 | − | 0.572107i | \(-0.806126\pi\) | ||
0.820179 | − | 0.572107i | \(-0.193874\pi\) | |||||||
\(380\) | −0.288918 | + | 20.9042i | −0.0148212 | + | 1.07236i | ||||
\(381\) | −4.52336 | + | 0.264771i | −0.231739 | + | 0.0135646i | ||||
\(382\) | 3.42977 | + | 0.0237004i | 0.175482 | + | 0.00121262i | ||||
\(383\) | 13.0931 | − | 22.6779i | 0.669025 | − | 1.15879i | −0.309152 | − | 0.951013i | \(-0.600045\pi\) |
0.978177 | − | 0.207773i | \(-0.0666216\pi\) | |||||||
\(384\) | −17.0686 | − | 9.62611i | −0.871030 | − | 0.491231i | ||||
\(385\) | −4.91589 | − | 10.7971i | −0.250537 | − | 0.550269i | ||||
\(386\) | −13.8249 | + | 7.85496i | −0.703671 | + | 0.399807i | ||||
\(387\) | 8.47276 | − | 6.31537i | 0.430695 | − | 0.321028i | ||||
\(388\) | −28.6152 | − | 17.0525i | −1.45272 | − | 0.865712i | ||||
\(389\) | 2.47747 | + | 4.29110i | 0.125613 | + | 0.217567i | 0.921972 | − | 0.387256i | \(-0.126577\pi\) |
−0.796360 | + | 0.604823i | \(0.793244\pi\) | |||||||
\(390\) | −42.8226 | + | 2.20978i | −2.16841 | + | 0.111897i | ||||
\(391\) | −18.4147 | − | 10.6317i | −0.931270 | − | 0.537669i | ||||
\(392\) | −14.6606 | − | 13.3066i | −0.740473 | − | 0.672086i | ||||
\(393\) | 14.8586 | + | 7.45686i | 0.749516 | + | 0.376149i | ||||
\(394\) | 8.99420 | + | 5.27600i | 0.453121 | + | 0.265801i | ||||
\(395\) | 49.5273i | 2.49199i | ||||||||
\(396\) | 3.36426 | − | 7.52372i | 0.169060 | − | 0.378081i | ||||
\(397\) | 20.5241 | 1.03007 | 0.515037 | − | 0.857168i | \(-0.327778\pi\) | ||||
0.515037 | + | 0.857168i | \(0.327778\pi\) | |||||||
\(398\) | −5.86719 | + | 10.0020i | −0.294095 | + | 0.501355i | ||||
\(399\) | −12.9769 | + | 6.85056i | −0.649660 | + | 0.342957i | ||||
\(400\) | −22.6161 | − | 0.625277i | −1.13081 | − | 0.0312638i | ||||
\(401\) | −12.6873 | − | 7.32503i | −0.633574 | − | 0.365794i | 0.148561 | − | 0.988903i | \(-0.452536\pi\) |
−0.782135 | + | 0.623109i | \(0.785869\pi\) | |||||||
\(402\) | −10.4063 | − | 16.0525i | −0.519020 | − | 0.800627i | ||||
\(403\) | −46.7657 | + | 27.0002i | −2.32956 | + | 1.34497i | ||||
\(404\) | 0.910546 | + | 0.542618i | 0.0453013 | + | 0.0269963i | ||||
\(405\) | 28.1549 | + | 8.39349i | 1.39903 | + | 0.417076i | ||||
\(406\) | 7.14258 | + | 15.9795i | 0.354480 | + | 0.793051i | ||||
\(407\) | 6.69636 | − | 3.86615i | 0.331926 | − | 0.191638i | ||||
\(408\) | 0.702002 | + | 18.5936i | 0.0347543 | + | 0.920519i | ||||
\(409\) | −8.24750 | − | 4.76170i | −0.407813 | − | 0.235451i | 0.282037 | − | 0.959404i | \(-0.408990\pi\) |
−0.689849 | + | 0.723953i | \(0.742323\pi\) | |||||||
\(410\) | 8.42950 | + | 0.0582495i | 0.416303 | + | 0.00287674i | ||||
\(411\) | 19.8272 | − | 13.0488i | 0.978001 | − | 0.643648i | ||||
\(412\) | 0.470826 | − | 34.0658i | 0.0231959 | − | 1.67830i | ||||
\(413\) | 9.41354 | + | 0.909778i | 0.463210 | + | 0.0447672i | ||||
\(414\) | 14.0629 | + | 19.1416i | 0.691155 | + | 0.940757i | ||||
\(415\) | −7.20340 | −0.353601 | ||||||||
\(416\) | −1.04789 | + | 30.3173i | −0.0513771 | + | 1.48643i | ||||
\(417\) | 1.69055 | − | 3.36859i | 0.0827865 | − | 0.164961i | ||||
\(418\) | −0.0429835 | + | 6.22029i | −0.00210239 | + | 0.304245i | ||||
\(419\) | −7.96945 | − | 4.60117i | −0.389333 | − | 0.224782i | 0.292538 | − | 0.956254i | \(-0.405500\pi\) |
−0.681871 | + | 0.731472i | \(0.738834\pi\) | |||||||
\(420\) | −13.6003 | − | 26.6486i | −0.663629 | − | 1.30032i | ||||
\(421\) | −13.0114 | + | 7.51216i | −0.634139 | + | 0.366120i | −0.782353 | − | 0.622835i | \(-0.785981\pi\) |
0.148214 | + | 0.988955i | \(0.452648\pi\) | |||||||
\(422\) | 10.8409 | + | 19.0802i | 0.527726 | + | 0.928812i | ||||
\(423\) | −7.96517 | − | 10.6861i | −0.387280 | − | 0.519578i | ||||
\(424\) | 0.605804 | − | 29.2190i | 0.0294204 | − | 1.41900i | ||||
\(425\) | 10.7414 | + | 18.6046i | 0.521034 | + | 0.902457i | ||||
\(426\) | −9.74442 | + | 19.0866i | −0.472119 | + | 0.924750i | ||||
\(427\) | 19.9873 | + | 14.2674i | 0.967251 | + | 0.690449i | ||||
\(428\) | 0.789523 | + | 1.41221i | 0.0381630 | + | 0.0682619i | ||||
\(429\) | −12.7366 | + | 0.745528i | −0.614930 | + | 0.0359944i | ||||
\(430\) | −14.0265 | − | 8.22797i | −0.676419 | − | 0.396788i | ||||
\(431\) | − | 28.6677i | − | 1.38088i | −0.723392 | − | 0.690438i | \(-0.757418\pi\) | ||
0.723392 | − | 0.690438i | \(-0.242582\pi\) | |||||||
\(432\) | 7.62901 | − | 19.3339i | 0.367051 | − | 0.930201i | ||||
\(433\) | − | 15.8290i | − | 0.760695i | −0.924844 | − | 0.380348i | \(-0.875804\pi\) | ||
0.924844 | − | 0.380348i | \(-0.124196\pi\) | |||||||
\(434\) | −30.5144 | − | 22.1019i | −1.46474 | − | 1.06092i | ||||
\(435\) | 1.54554 | + | 26.4042i | 0.0741032 | + | 1.26598i | ||||
\(436\) | 28.3505 | − | 15.8499i | 1.35774 | − | 0.759071i | ||||
\(437\) | −15.5254 | − | 8.96357i | −0.742678 | − | 0.428786i | ||||
\(438\) | 2.03720 | − | 3.99031i | 0.0973411 | − | 0.190664i | ||||
\(439\) | 14.7960 | − | 8.54246i | 0.706173 | − | 0.407709i | −0.103469 | − | 0.994633i | \(-0.532994\pi\) |
0.809642 | + | 0.586923i | \(0.199661\pi\) | |||||||
\(440\) | −12.6799 | − | 0.262895i | −0.604489 | − | 0.0125330i | ||||
\(441\) | 11.8463 | − | 17.3397i | 0.564111 | − | 0.825699i | ||||
\(442\) | 25.0441 | − | 14.2294i | 1.19123 | − | 0.676822i | ||||
\(443\) | 6.18223 | + | 10.7079i | 0.293727 | + | 0.508749i | 0.974688 | − | 0.223570i | \(-0.0717711\pi\) |
−0.680961 | + | 0.732319i | \(0.738438\pi\) | |||||||
\(444\) | 16.4356 | − | 10.4941i | 0.779998 | − | 0.498026i | ||||
\(445\) | 16.4488 | + | 9.49674i | 0.779750 | + | 0.450189i | ||||
\(446\) | 17.6302 | + | 0.121828i | 0.834816 | + | 0.00576874i | ||||
\(447\) | −9.89593 | + | 19.7187i | −0.468062 | + | 0.932661i | ||||
\(448\) | −19.6103 | + | 7.96462i | −0.926501 | + | 0.376293i | ||||
\(449\) | − | 34.0650i | − | 1.60763i | −0.594881 | − | 0.803814i | \(-0.702801\pi\) | ||
0.594881 | − | 0.803814i | \(-0.297199\pi\) | |||||||
\(450\) | −2.63496 | − | 23.8521i | −0.124213 | − | 1.12440i | ||||
\(451\) | 2.50818 | 0.118106 | ||||||||
\(452\) | 0.00324929 | − | 0.235097i | 0.000152834 | − | 0.0110580i | ||||
\(453\) | −4.97919 | − | 7.56571i | −0.233943 | − | 0.355468i | ||||
\(454\) | 5.01199 | + | 0.0346338i | 0.235224 | + | 0.00162545i | ||||
\(455\) | −26.9087 | + | 37.6965i | −1.26150 | + | 1.76724i | ||||
\(456\) | 0.591856 | + | 15.6762i | 0.0277162 | + | 0.734104i | ||||
\(457\) | −8.64764 | − | 14.9782i | −0.404520 | − | 0.700649i | 0.589746 | − | 0.807589i | \(-0.299228\pi\) |
−0.994265 | + | 0.106940i | \(0.965895\pi\) | |||||||
\(458\) | −12.5085 | + | 7.10702i | −0.584486 | + | 0.332089i | ||||
\(459\) | −19.4327 | + | 3.44393i | −0.907040 | + | 0.160749i | ||||
\(460\) | 18.7111 | − | 31.3984i | 0.872412 | − | 1.46396i | ||||
\(461\) | −15.3919 | + | 8.88652i | −0.716872 | + | 0.413886i | −0.813600 | − | 0.581424i | \(-0.802496\pi\) |
0.0967281 | + | 0.995311i | \(0.469162\pi\) | |||||||
\(462\) | −4.10135 | − | 7.90091i | −0.190812 | − | 0.367583i | ||||
\(463\) | −7.85727 | + | 13.6092i | −0.365158 | + | 0.632473i | −0.988802 | − | 0.149236i | \(-0.952319\pi\) |
0.623643 | + | 0.781709i | \(0.285652\pi\) | |||||||
\(464\) | 18.7046 | + | 0.517132i | 0.868337 | + | 0.0240073i | ||||
\(465\) | −31.3004 | − | 47.5599i | −1.45152 | − | 2.20554i | ||||
\(466\) | −2.66850 | + | 4.54908i | −0.123616 | + | 0.210732i | ||||
\(467\) | 29.8632i | 1.38190i | 0.722901 | + | 0.690952i | \(0.242808\pi\) | ||||
−0.722901 | + | 0.690952i | \(0.757192\pi\) | |||||||
\(468\) | −32.0046 | + | 3.31189i | −1.47941 | + | 0.153092i | ||||
\(469\) | −20.5674 | − | 1.98775i | −0.949716 | − | 0.0917859i | ||||
\(470\) | −10.3774 | + | 17.6908i | −0.478674 | + | 0.816014i | ||||
\(471\) | −12.9990 | + | 25.9018i | −0.598962 | + | 1.19349i | ||||
\(472\) | 5.23561 | − | 8.64918i | 0.240988 | − | 0.398111i | ||||
\(473\) | −4.19028 | − | 2.41926i | −0.192669 | − | 0.111238i | ||||
\(474\) | 1.91522 | + | 37.1144i | 0.0879688 | + | 1.70472i | ||||
\(475\) | 9.05603 | + | 15.6855i | 0.415519 | + | 0.719700i | ||||
\(476\) | 16.1948 | + | 11.9015i | 0.742286 | + | 0.545504i | ||||
\(477\) | 30.7864 | − | 3.61650i | 1.40961 | − | 0.165588i | ||||
\(478\) | 2.86178 | + | 5.03681i | 0.130895 | + | 0.230378i | ||||
\(479\) | 13.1376 | + | 22.7550i | 0.600273 | + | 1.03970i | 0.992779 | + | 0.119954i | \(0.0382748\pi\) |
−0.392506 | + | 0.919749i | \(0.628392\pi\) | |||||||
\(480\) | −31.9751 | + | 0.764895i | −1.45946 | + | 0.0349125i | ||||
\(481\) | −26.1427 | − | 15.0935i | −1.19201 | − | 0.688205i | ||||
\(482\) | −6.35167 | − | 0.0438913i | −0.289310 | − | 0.00199919i | ||||
\(483\) | 25.6369 | + | 0.971564i | 1.16652 | + | 0.0442077i | ||||
\(484\) | 18.2247 | + | 0.251884i | 0.828394 | + | 0.0114493i | ||||
\(485\) | −54.3698 | −2.46880 | ||||||||
\(486\) | 21.4231 | + | 5.20109i | 0.971771 | + | 0.235926i | ||||
\(487\) | −26.5442 | −1.20283 | −0.601415 | − | 0.798937i | \(-0.705396\pi\) | ||||
−0.601415 | + | 0.798937i | \(0.705396\pi\) | |||||||
\(488\) | 23.0026 | − | 12.6522i | 1.04128 | − | 0.572739i | ||||
\(489\) | 1.16846 | + | 19.9620i | 0.0528395 | + | 0.902712i | ||||
\(490\) | −31.6741 | − | 6.40757i | −1.43089 | − | 0.289465i | ||||
\(491\) | −3.19274 | + | 5.52998i | −0.144086 | + | 0.249565i | −0.929032 | − | 0.370000i | \(-0.879358\pi\) |
0.784945 | + | 0.619565i | \(0.212691\pi\) | |||||||
\(492\) | 6.31908 | − | 0.282317i | 0.284886 | − | 0.0127278i | ||||
\(493\) | −8.88362 | − | 15.3869i | −0.400098 | − | 0.692990i | ||||
\(494\) | 21.1146 | − | 11.9967i | 0.949990 | − | 0.539759i | ||||
\(495\) | −1.56942 | − | 13.3601i | −0.0705401 | − | 0.600490i | ||||
\(496\) | −35.4262 | + | 19.1679i | −1.59068 | + | 0.860665i | ||||
\(497\) | 9.59156 | + | 21.0665i | 0.430240 | + | 0.944961i | ||||
\(498\) | −5.39802 | + | 0.278554i | −0.241891 | + | 0.0124823i | ||||
\(499\) | −6.26715 | − | 3.61834i | −0.280556 | − | 0.161979i | 0.353119 | − | 0.935578i | \(-0.385121\pi\) |
−0.633675 | + | 0.773599i | \(0.718454\pi\) | |||||||
\(500\) | −3.73939 | + | 2.09057i | −0.167231 | + | 0.0934933i | ||||
\(501\) | 3.33326 | − | 6.64186i | 0.148919 | − | 0.296736i | ||||
\(502\) | −11.7148 | + | 19.9706i | −0.522856 | + | 0.891332i | ||||
\(503\) | −24.1526 | −1.07691 | −0.538456 | − | 0.842654i | \(-0.680992\pi\) | ||||
−0.538456 | + | 0.842654i | \(0.680992\pi\) | |||||||
\(504\) | −11.2222 | − | 19.4438i | −0.499877 | − | 0.866096i | ||||
\(505\) | 1.73007 | 0.0769870 | ||||||||
\(506\) | 5.50264 | − | 9.38055i | 0.244622 | − | 0.417016i | ||||
\(507\) | 15.0041 | + | 22.7982i | 0.666355 | + | 1.01250i | ||||
\(508\) | 2.55317 | + | 4.56683i | 0.113278 | + | 0.202620i | ||||
\(509\) | −27.4850 | − | 15.8685i | −1.21825 | − | 0.703357i | −0.253706 | − | 0.967281i | \(-0.581650\pi\) |
−0.964543 | + | 0.263924i | \(0.914983\pi\) | |||||||
\(510\) | 16.5202 | + | 25.4836i | 0.731525 | + | 1.12843i | ||||
\(511\) | −2.00524 | − | 4.40422i | −0.0887067 | − | 0.194831i | ||||
\(512\) | −1.40631 | + | 22.5837i | −0.0621507 | + | 0.998067i | ||||
\(513\) | −16.3836 | + | 2.90357i | −0.723356 | + | 0.128196i | ||||
\(514\) | −4.06025 | + | 2.30693i | −0.179090 | + | 0.101754i | ||||
\(515\) | −27.8036 | − | 48.1573i | −1.22517 | − | 2.12206i | ||||
\(516\) | −10.8293 | − | 5.62340i | −0.476731 | − | 0.247557i | ||||
\(517\) | −3.05126 | + | 5.28493i | −0.134194 | + | 0.232431i | ||||
\(518\) | 2.17098 | − | 20.9503i | 0.0953873 | − | 0.920504i | ||||
\(519\) | 3.07435 | − | 2.02331i | 0.134949 | − | 0.0888134i | ||||
\(520\) | 23.8624 | + | 43.3836i | 1.04644 | + | 1.90250i | ||||
\(521\) | 20.7010 | 0.906926 | 0.453463 | − | 0.891275i | \(-0.350188\pi\) | ||||
0.453463 | + | 0.891275i | \(0.350188\pi\) | |||||||
\(522\) | 2.17923 | + | 19.7268i | 0.0953824 | + | 0.863417i | ||||
\(523\) | 44.0553 | 1.92641 | 0.963203 | − | 0.268776i | \(-0.0866191\pi\) | ||||
0.963203 | + | 0.268776i | \(0.0866191\pi\) | |||||||
\(524\) | 0.265292 | − | 19.1948i | 0.0115893 | − | 0.838527i | ||||
\(525\) | −21.9404 | − | 13.8007i | −0.957558 | − | 0.602314i | ||||
\(526\) | −32.6969 | − | 0.225942i | −1.42565 | − | 0.00985154i | ||||
\(527\) | 33.1222 | + | 19.1231i | 1.44283 | + | 0.833016i | ||||
\(528\) | −9.51210 | + | 0.293323i | −0.413961 | + | 0.0127653i | ||||
\(529\) | 4.17126 | + | 7.22483i | 0.181359 | + | 0.314123i | ||||
\(530\) | −23.5646 | − | 41.4743i | −1.02358 | − | 1.80153i | ||||
\(531\) | 9.84912 | + | 4.24173i | 0.427415 | + | 0.184075i | ||||
\(532\) | 13.6538 | + | 10.0341i | 0.591965 | + | 0.435034i | ||||
\(533\) | −4.89599 | − | 8.48010i | −0.212069 | − | 0.367314i | ||||
\(534\) | 12.6935 | + | 6.48051i | 0.549303 | + | 0.280439i | ||||
\(535\) | 2.28697 | + | 1.32038i | 0.0988744 | + | 0.0570852i | ||||
\(536\) | −11.4392 | + | 18.8974i | −0.494096 | + | 0.816243i | ||||
\(537\) | 36.3471 | − | 2.12755i | 1.56849 | − | 0.0918104i | ||||
\(538\) | 20.4405 | − | 34.8456i | 0.881250 | − | 1.50230i | ||||
\(539\) | −9.43729 | − | 1.84135i | −0.406493 | − | 0.0793123i | ||||
\(540\) | −5.45776 | − | 33.4826i | −0.234865 | − | 1.44086i | ||||
\(541\) | − | 8.01378i | − | 0.344539i | −0.985050 | − | 0.172270i | \(-0.944890\pi\) | ||
0.985050 | − | 0.172270i | \(-0.0551100\pi\) | |||||||
\(542\) | 17.2375 | − | 29.3854i | 0.740415 | − | 1.26221i | ||||
\(543\) | 5.23246 | − | 0.306277i | 0.224546 | − | 0.0131436i | ||||
\(544\) | 18.9668 | − | 10.0935i | 0.813195 | − | 0.432755i | ||||
\(545\) | 26.5070 | − | 45.9115i | 1.13544 | − | 1.96663i | ||||
\(546\) | −18.7069 | + | 29.2892i | −0.800583 | + | 1.25346i | ||||
\(547\) | 9.43514 | − | 5.44738i | 0.403418 | − | 0.232913i | −0.284540 | − | 0.958664i | \(-0.591841\pi\) |
0.687958 | + | 0.725751i | \(0.258508\pi\) | |||||||
\(548\) | −23.5441 | − | 14.0306i | −1.00575 | − | 0.599356i | ||||
\(549\) | 16.6409 | + | 22.3256i | 0.710216 | + | 0.952832i | ||||
\(550\) | −9.55324 | + | 5.42790i | −0.407352 | + | 0.231446i | ||||
\(551\) | −7.48975 | − | 12.9726i | −0.319074 | − | 0.552653i | ||||
\(552\) | 12.8074 | − | 24.2526i | 0.545120 | − | 1.03226i | ||||
\(553\) | 32.6715 | + | 23.3218i | 1.38933 | + | 0.991744i | ||||
\(554\) | −33.4460 | − | 0.231119i | −1.42099 | − | 0.00981929i | ||||
\(555\) | 14.2761 | − | 28.4466i | 0.605986 | − | 1.20749i | ||||
\(556\) | −4.35165 | − | 0.0601444i | −0.184551 | − | 0.00255069i | ||||
\(557\) | 42.5280 | 1.80197 | 0.900985 | − | 0.433851i | \(-0.142845\pi\) | ||||
0.900985 | + | 0.433851i | \(0.142845\pi\) | |||||||
\(558\) | −25.2948 | − | 34.4297i | −1.07081 | − | 1.45752i | ||||
\(559\) | 18.8897i | 0.798948i | ||||||||
\(560\) | −20.8409 | + | 27.5527i | −0.880689 | + | 1.16431i | ||||
\(561\) | 4.96770 | + | 7.54826i | 0.209736 | + | 0.318688i | ||||
\(562\) | 26.7238 | + | 0.184667i | 1.12728 | + | 0.00778970i | ||||
\(563\) | 11.2415 | + | 6.49030i | 0.473774 | + | 0.273533i | 0.717818 | − | 0.696231i | \(-0.245141\pi\) |
−0.244044 | + | 0.969764i | \(0.578474\pi\) | |||||||
\(564\) | −7.09244 | + | 13.6582i | −0.298645 | + | 0.575116i | ||||
\(565\) | −0.191880 | − | 0.332346i | −0.00807246 | − | 0.0139819i | ||||
\(566\) | 11.1373 | − | 6.32791i | 0.468135 | − | 0.265982i | ||||
\(567\) | 18.7947 | − | 14.6205i | 0.789304 | − | 0.614003i | ||||
\(568\) | 24.7401 | + | 0.512943i | 1.03807 | + | 0.0215226i | ||||
\(569\) | 39.9276 | − | 23.0522i | 1.67385 | − | 0.966399i | 0.708404 | − | 0.705807i | \(-0.249415\pi\) |
0.965449 | − | 0.260592i | \(-0.0839179\pi\) | |||||||
\(570\) | 13.9281 | + | 21.4851i | 0.583384 | + | 0.899913i | ||||
\(571\) | −4.20640 | − | 2.42856i | −0.176032 | − | 0.101632i | 0.409395 | − | 0.912357i | \(-0.365740\pi\) |
−0.585427 | + | 0.810725i | \(0.699073\pi\) | |||||||
\(572\) | 7.18906 | + | 12.8590i | 0.300590 | + | 0.537662i | ||||
\(573\) | 3.50896 | − | 2.30934i | 0.146589 | − | 0.0964739i | ||||
\(574\) | 4.00777 | − | 5.53323i | 0.167281 | − | 0.230953i | ||||
\(575\) | − | 31.6658i | − | 1.32056i | ||||||
\(576\) | −23.9317 | + | 1.80966i | −0.997153 | + | 0.0754027i | ||||
\(577\) | − | 8.61372i | − | 0.358594i | −0.983795 | − | 0.179297i | \(-0.942618\pi\) | ||
0.983795 | − | 0.179297i | \(-0.0573823\pi\) | |||||||
\(578\) | 3.14038 | + | 1.84215i | 0.130623 | + | 0.0766233i | ||||
\(579\) | −8.73496 | + | 17.4053i | −0.363013 | + | 0.723340i | ||||
\(580\) | 26.6579 | − | 14.9036i | 1.10691 | − | 0.618837i | ||||
\(581\) | −3.39199 | + | 4.75184i | −0.140723 | + | 0.197140i | ||||
\(582\) | −40.7432 | + | 2.10247i | −1.68886 | + | 0.0871503i | ||||
\(583\) | −7.09652 | − | 12.2915i | −0.293908 | − | 0.509064i | ||||
\(584\) | −5.17225 | − | 0.107237i | −0.214029 | − | 0.00443752i | ||||
\(585\) | −42.1066 | + | 31.3851i | −1.74089 | + | 1.29762i | ||||
\(586\) | 4.78866 | + | 8.42817i | 0.197818 | + | 0.348165i | ||||
\(587\) | −28.7257 | + | 16.5848i | −1.18564 | + | 0.684528i | −0.957312 | − | 0.289057i | \(-0.906658\pi\) |
−0.228326 | + | 0.973585i | \(0.573325\pi\) | |||||||
\(588\) | −23.9835 | − | 3.57682i | −0.989061 | − | 0.147505i | ||||
\(589\) | 27.9252 | + | 16.1226i | 1.15064 | + | 0.664322i | ||||
\(590\) | 0.114030 | − | 16.5017i | 0.00469454 | − | 0.679364i | ||||
\(591\) | 12.7492 | − | 0.746261i | 0.524430 | − | 0.0306971i | ||||
\(592\) | −19.1815 | − | 11.7930i | −0.788354 | − | 0.484689i | ||||
\(593\) | −36.3837 | −1.49410 | −0.747050 | − | 0.664767i | \(-0.768531\pi\) | ||||
−0.747050 | + | 0.664767i | \(0.768531\pi\) | |||||||
\(594\) | −1.69271 | − | 9.95096i | −0.0694527 | − | 0.408293i | ||||
\(595\) | 32.6511 | + | 3.15559i | 1.33856 | + | 0.129366i | ||||
\(596\) | 25.4732 | + | 0.352066i | 1.04342 | + | 0.0144212i | ||||
\(597\) | 0.829880 | + | 14.1777i | 0.0339647 | + | 0.580255i | ||||
\(598\) | −42.4567 | − | 0.293384i | −1.73618 | − | 0.0119974i | ||||
\(599\) | −3.16383 | − | 1.82664i | −0.129271 | − | 0.0746345i | 0.433970 | − | 0.900927i | \(-0.357112\pi\) |
−0.563241 | + | 0.826293i | \(0.690446\pi\) | |||||||
\(600\) | −23.4574 | + | 14.7503i | −0.957643 | + | 0.602178i | ||||
\(601\) | −34.9558 | + | 20.1818i | −1.42588 | + | 0.823231i | −0.996792 | − | 0.0800328i | \(-0.974497\pi\) |
−0.429086 | + | 0.903264i | \(0.641164\pi\) | |||||||
\(602\) | −12.0326 | + | 5.37838i | −0.490414 | + | 0.219207i | ||||
\(603\) | −21.5191 | − | 9.26765i | −0.876326 | − | 0.377408i | ||||
\(604\) | −5.35383 | + | 8.98404i | −0.217844 | + | 0.365555i | ||||
\(605\) | 25.7634 | − | 14.8745i | 1.04743 | − | 0.604734i | ||||
\(606\) | 1.29646 | − | 0.0669015i | 0.0526652 | − | 0.00271769i | ||||
\(607\) | 15.1967 | + | 8.77383i | 0.616816 | + | 0.356119i | 0.775628 | − | 0.631190i | \(-0.217433\pi\) |
−0.158812 | + | 0.987309i | \(0.550766\pi\) | |||||||
\(608\) | 15.9908 | − | 8.50979i | 0.648515 | − | 0.345118i | ||||
\(609\) | 18.1457 | + | 11.4138i | 0.735302 | + | 0.462512i | ||||
\(610\) | 21.6806 | − | 36.9596i | 0.877820 | − | 1.49645i | ||||
\(611\) | 23.8243 | 0.963829 | ||||||||
\(612\) | 13.3652 | + | 18.4578i | 0.540256 | + | 0.746114i | ||||
\(613\) | 33.1672i | 1.33961i | 0.742537 | + | 0.669805i | \(0.233622\pi\) | ||||
−0.742537 | + | 0.669805i | \(0.766378\pi\) | |||||||
\(614\) | −1.23334 | − | 0.723477i | −0.0497735 | − | 0.0291972i | ||||
\(615\) | 8.62412 | − | 5.67576i | 0.347758 | − | 0.228869i | ||||
\(616\) | −6.14422 | + | 8.24070i | −0.247558 | + | 0.332027i | ||||
\(617\) | 17.2437 | + | 9.95563i | 0.694204 | + | 0.400799i | 0.805185 | − | 0.593024i | \(-0.202066\pi\) |
−0.110981 | + | 0.993823i | \(0.535399\pi\) | |||||||
\(618\) | −22.6975 | − | 35.0125i | −0.913026 | − | 1.40841i | ||||
\(619\) | −22.4708 | − | 38.9206i | −0.903178 | − | 1.56435i | −0.823344 | − | 0.567542i | \(-0.807894\pi\) |
−0.0798336 | − | 0.996808i | \(-0.525439\pi\) | |||||||
\(620\) | −33.6555 | + | 56.4759i | −1.35164 | + | 2.26813i | ||||
\(621\) | 27.3446 | + | 9.92571i | 1.09730 | + | 0.398305i | ||||
\(622\) | 11.0060 | − | 6.25333i | 0.441302 | − | 0.250736i | ||||
\(623\) | 14.0102 | − | 6.37885i | 0.561308 | − | 0.255563i | ||||
\(624\) | 19.5594 | + | 31.5877i | 0.783004 | + | 1.26452i | ||||
\(625\) | 10.6442 | − | 18.4364i | 0.425769 | − | 0.737454i | ||||
\(626\) | 10.1596 | + | 0.0702047i | 0.406058 | + | 0.00280594i | ||||
\(627\) | 4.18825 | + | 6.36391i | 0.167263 | + | 0.254150i | ||||
\(628\) | 33.4608 | + | 0.462463i | 1.33523 | + | 0.0184543i | ||||
\(629\) | 21.3802i | 0.852485i | ||||||||
\(630\) | −31.9810 | − | 17.8855i | −1.27416 | − | 0.712577i | ||||
\(631\) | 31.0143 | 1.23466 | 0.617329 | − | 0.786705i | \(-0.288215\pi\) | ||||
0.617329 | + | 0.786705i | \(0.288215\pi\) | |||||||
\(632\) | 37.6005 | − | 20.6815i | 1.49567 | − | 0.822667i | ||||
\(633\) | 24.0216 | + | 12.0554i | 0.954774 | + | 0.479159i | ||||
\(634\) | −0.247347 | + | 35.7945i | −0.00982342 | + | 1.42158i | ||||
\(635\) | 7.39563 | + | 4.26987i | 0.293487 | + | 0.169445i | ||||
\(636\) | −19.2624 | − | 30.1684i | −0.763805 | − | 1.19625i | ||||
\(637\) | 12.1961 | + | 35.5016i | 0.483228 | + | 1.40662i | ||||
\(638\) | 7.90097 | − | 4.48912i | 0.312802 | − | 0.177726i | ||||
\(639\) | 3.06214 | + | 26.0673i | 0.121136 | + | 1.03121i | ||||
\(640\) | 16.8980 | + | 32.8397i | 0.667954 | + | 1.29810i | ||||
\(641\) | −12.6860 | + | 7.32429i | −0.501068 | + | 0.289292i | −0.729155 | − | 0.684349i | \(-0.760086\pi\) |
0.228086 | + | 0.973641i | \(0.426753\pi\) | |||||||
\(642\) | 1.76485 | + | 0.901021i | 0.0696531 | + | 0.0355605i | ||||
\(643\) | 8.12747 | − | 14.0772i | 0.320516 | − | 0.555150i | −0.660079 | − | 0.751197i | \(-0.729477\pi\) |
0.980595 | + | 0.196047i | \(0.0628104\pi\) | |||||||
\(644\) | −11.9016 | − | 27.1282i | −0.468990 | − | 1.06900i | ||||
\(645\) | −19.8824 | + | 1.16380i | −0.782869 | + | 0.0458246i | ||||
\(646\) | −14.8357 | − | 8.70266i | −0.583705 | − | 0.342402i | ||||
\(647\) | −28.5250 | −1.12144 | −0.560718 | − | 0.828007i | \(-0.689475\pi\) | ||||
−0.560718 | + | 0.828007i | \(0.689475\pi\) | |||||||
\(648\) | −5.38466 | − | 24.8798i | −0.211529 | − | 0.977372i | ||||
\(649\) | − | 4.91004i | − | 0.192736i | ||||||
\(650\) | 36.9996 | + | 21.7040i | 1.45124 | + | 0.851301i | ||||
\(651\) | −46.1127 | − | 1.74754i | −1.80730 | − | 0.0684914i | ||||
\(652\) | 20.1538 | − | 11.2673i | 0.789283 | − | 0.441263i | ||||
\(653\) | 4.64239 | − | 8.04086i | 0.181671 | − | 0.314663i | −0.760779 | − | 0.649011i | \(-0.775183\pi\) |
0.942450 | + | 0.334348i | \(0.108516\pi\) | |||||||
\(654\) | 18.0882 | − | 35.4298i | 0.707306 | − | 1.38542i | ||||
\(655\) | −15.6663 | − | 27.1347i | −0.612131 | − | 1.06024i | ||||
\(656\) | −3.47575 | − | 6.42389i | −0.135705 | − | 0.250811i | ||||
\(657\) | −0.640181 | − | 5.44970i | −0.0249758 | − | 0.212613i | ||||
\(658\) | 6.78341 | + | 15.1760i | 0.264445 | + | 0.591622i | ||||
\(659\) | −6.55142 | − | 11.3474i | −0.255207 | − | 0.442031i | 0.709745 | − | 0.704459i | \(-0.248810\pi\) |
−0.964952 | + | 0.262428i | \(0.915477\pi\) | |||||||
\(660\) | −13.0919 | + | 8.35913i | −0.509601 | + | 0.325379i | ||||
\(661\) | 10.9792 | − | 19.0166i | 0.427043 | − | 0.739660i | −0.569566 | − | 0.821946i | \(-0.692889\pi\) |
0.996609 | + | 0.0822855i | \(0.0262219\pi\) | |||||||
\(662\) | −13.6988 | − | 0.0946614i | −0.532419 | − | 0.00367912i | ||||
\(663\) | 15.8235 | − | 31.5300i | 0.614534 | − | 1.22452i | ||||
\(664\) | 3.00798 | + | 5.46873i | 0.116732 | + | 0.212228i | ||||
\(665\) | 27.5280 | + | 2.66046i | 1.06749 | + | 0.103168i | ||||
\(666\) | 9.59806 | − | 21.8691i | 0.371917 | − | 0.847410i | ||||
\(667\) | 26.1891i | 1.01405i | ||||||||
\(668\) | −8.58016 | − | 0.118587i | −0.331976 | − | 0.00458826i | ||||
\(669\) | 18.0373 | − | 11.8708i | 0.697362 | − | 0.458952i | ||||
\(670\) | −0.249141 | + | 36.0542i | −0.00962517 | + | 1.39289i | ||||
\(671\) | 6.37470 | − | 11.0413i | 0.246093 | − | 0.426245i | ||||
\(672\) | −14.5521 | + | 21.4531i | −0.561360 | + | 0.827572i | ||||
\(673\) | −7.41541 | − | 12.8439i | −0.285843 | − | 0.495095i | 0.686970 | − | 0.726686i | \(-0.258940\pi\) |
−0.972813 | + | 0.231591i | \(0.925607\pi\) | |||||||
\(674\) | 9.13021 | − | 5.18754i | 0.351682 | − | 0.199817i | ||||
\(675\) | −18.9114 | − | 22.4979i | −0.727899 | − | 0.865946i | ||||
\(676\) | 16.1330 | − | 27.0721i | 0.620500 | − | 1.04124i | ||||
\(677\) | 8.19779 | − | 4.73300i | 0.315067 | − | 0.181904i | −0.334125 | − | 0.942529i | \(-0.608441\pi\) |
0.649191 | + | 0.760625i | \(0.275107\pi\) | |||||||
\(678\) | −0.156641 | − | 0.241631i | −0.00601577 | − | 0.00927978i | ||||
\(679\) | −25.6020 | + | 35.8659i | −0.982516 | + | 1.37641i | ||||
\(680\) | 18.1598 | − | 29.9999i | 0.696397 | − | 1.15044i | ||||
\(681\) | 5.12771 | − | 3.37468i | 0.196494 | − | 0.129318i | ||||
\(682\) | −9.89752 | + | 16.8727i | −0.378996 | + | 0.646088i | ||||
\(683\) | 21.1814 | 0.810484 | 0.405242 | − | 0.914210i | \(-0.367187\pi\) | ||||
0.405242 | + | 0.914210i | \(0.367187\pi\) | |||||||
\(684\) | 11.2682 | + | 15.5617i | 0.430849 | + | 0.595018i | ||||
\(685\) | −44.7346 | −1.70922 | ||||||||
\(686\) | −19.1418 | + | 17.8771i | −0.730838 | + | 0.682551i | ||||
\(687\) | −7.90323 | + | 15.7480i | −0.301527 | + | 0.600823i | ||||
\(688\) | −0.389402 | + | 14.0846i | −0.0148458 | + | 0.536970i | ||||
\(689\) | −27.7050 | + | 47.9864i | −1.05548 | + | 1.82814i | ||||
\(690\) | −2.30697 | − | 44.7060i | −0.0878248 | − | 1.70193i | ||||
\(691\) | 1.94647 | + | 3.37139i | 0.0740473 | + | 0.128254i | 0.900672 | − | 0.434500i | \(-0.143075\pi\) |
−0.826624 | + | 0.562754i | \(0.809742\pi\) | |||||||
\(692\) | −3.65069 | − | 2.17554i | −0.138779 | − | 0.0827018i | ||||
\(693\) | −9.55221 | − | 5.25580i | −0.362858 | − | 0.199651i | ||||
\(694\) | 36.7448 | − | 20.8774i | 1.39481 | − | 0.792495i | ||||
\(695\) | −6.15173 | + | 3.55170i | −0.233348 | + | 0.134724i | ||||
\(696\) | 19.4003 | − | 12.1992i | 0.735367 | − | 0.462408i | ||||
\(697\) | −3.46763 | + | 6.00611i | −0.131346 | + | 0.227497i | ||||
\(698\) | 0.0732500 | − | 10.6003i | 0.00277255 | − | 0.401226i | ||||
\(699\) | 0.377444 | + | 6.44826i | 0.0142762 | + | 0.243896i | ||||
\(700\) | −3.29059 | + | 29.7483i | −0.124373 | + | 1.12438i | ||||
\(701\) | −7.15162 | −0.270113 | −0.135056 | − | 0.990838i | \(-0.543122\pi\) | ||||
−0.135056 | + | 0.990838i | \(0.543122\pi\) | |||||||
\(702\) | −30.3398 | + | 25.1474i | −1.14510 | + | 0.949127i | ||||
\(703\) | 18.0256i | 0.679848i | ||||||||
\(704\) | 5.09525 | + | 9.73618i | 0.192035 | + | 0.366946i | ||||
\(705\) | 1.46783 | + | 25.0764i | 0.0552815 | + | 0.944432i | ||||
\(706\) | −0.258078 | + | 37.3475i | −0.00971291 | + | 1.40559i | ||||
\(707\) | 0.814667 | − | 1.14127i | 0.0306387 | − | 0.0429218i | ||||
\(708\) | −0.552667 | − | 12.3703i | −0.0207705 | − | 0.464905i | ||||
\(709\) | 12.2856 | − | 7.09308i | 0.461394 | − | 0.266386i | −0.251236 | − | 0.967926i | \(-0.580837\pi\) |
0.712630 | + | 0.701540i | \(0.247504\pi\) | |||||||
\(710\) | 35.1169 | − | 19.9525i | 1.31791 | − | 0.748803i | ||||
\(711\) | 27.2015 | + | 36.4938i | 1.02014 | + | 1.36862i | ||||
\(712\) | 0.341132 | − | 16.4534i | 0.0127845 | − | 0.616617i | ||||
\(713\) | −28.1877 | − | 48.8225i | −1.05564 | − | 1.82842i | ||||
\(714\) | 24.5898 | + | 1.10209i | 0.920251 | + | 0.0412448i | ||||
\(715\) | 20.8242 | + | 12.0229i | 0.778781 | + | 0.449629i | ||||
\(716\) | −20.5158 | − | 36.6963i | −0.766710 | − | 1.37141i | ||||
\(717\) | 6.34123 | + | 3.18239i | 0.236818 | + | 0.118848i | ||||
\(718\) | 8.21433 | − | 14.0033i | 0.306556 | − | 0.522597i | ||||
\(719\) | 49.3903 | 1.84195 | 0.920974 | − | 0.389623i | \(-0.127395\pi\) | ||||
0.920974 | + | 0.389623i | \(0.127395\pi\) | |||||||
\(720\) | −32.0427 | + | 22.5335i | −1.19416 | + | 0.839774i | ||||
\(721\) | −44.8601 | − | 4.33554i | −1.67068 | − | 0.161464i | ||||
\(722\) | 10.6688 | + | 6.25832i | 0.397051 | + | 0.232911i | ||||
\(723\) | −6.49832 | + | 4.27671i | −0.241675 | + | 0.159053i | ||||
\(724\) | −2.95341 | − | 5.28273i | −0.109763 | − | 0.196331i | ||||
\(725\) | 13.2296 | − | 22.9144i | 0.491336 | − | 0.851018i | ||||
\(726\) | 18.7311 | − | 12.1428i | 0.695178 | − | 0.450661i | ||||
\(727\) | −2.38793 | + | 1.37867i | −0.0885633 | + | 0.0511320i | −0.543628 | − | 0.839327i | \(-0.682950\pi\) |
0.455064 | + | 0.890459i | \(0.349616\pi\) | |||||||
\(728\) | 39.8552 | + | 4.68755i | 1.47713 | + | 0.173732i | ||||
\(729\) | 25.3556 | − | 9.27865i | 0.939097 | − | 0.343654i | ||||
\(730\) | −7.34164 | + | 4.17132i | −0.271726 | + | 0.154388i | ||||
\(731\) | 11.5864 | − | 6.68939i | 0.428537 | − | 0.247416i | ||||
\(732\) | 14.8176 | − | 28.5349i | 0.547673 | − | 1.05468i | ||||
\(733\) | −6.51450 | + | 11.2834i | −0.240619 | + | 0.416764i | −0.960891 | − | 0.276928i | \(-0.910684\pi\) |
0.720272 | + | 0.693692i | \(0.244017\pi\) | |||||||
\(734\) | −6.36868 | − | 0.0440088i | −0.235072 | − | 0.00162440i | ||||
\(735\) | −36.6160 | + | 15.0244i | −1.35060 | + | 0.554182i | ||||
\(736\) | −31.6507 | − | 1.09398i | −1.16666 | − | 0.0403246i | ||||
\(737\) | 10.7278i | 0.395165i | ||||||||
\(738\) | 6.24319 | − | 4.58674i | 0.229815 | − | 0.168840i | ||||
\(739\) | 17.7977i | 0.654697i | 0.944904 | + | 0.327349i | \(0.106155\pi\) | ||||
−0.944904 | + | 0.327349i | \(0.893845\pi\) | |||||||
\(740\) | −36.7481 | − | 0.507898i | −1.35089 | − | 0.0186707i | ||||
\(741\) | 13.3407 | − | 26.5828i | 0.490085 | − | 0.976544i | ||||
\(742\) | −38.4555 | − | 3.98495i | −1.41174 | − | 0.146292i | ||||
\(743\) | 34.5075 | + | 19.9229i | 1.26596 | + | 0.730901i | 0.974221 | − | 0.225597i | \(-0.0724333\pi\) |
0.291738 | + | 0.956498i | \(0.405767\pi\) | |||||||
\(744\) | −23.0365 | + | 43.6229i | −0.844561 | + | 1.59929i | ||||
\(745\) | 36.0103 | − | 20.7905i | 1.31931 | − | 0.761706i | ||||
\(746\) | 21.2566 | + | 37.4122i | 0.778261 | + | 1.36976i | ||||
\(747\) | −5.30776 | + | 3.95626i | −0.194201 | + | 0.144752i | ||||
\(748\) | 5.34148 | − | 8.96331i | 0.195304 | − | 0.327731i | ||||
\(749\) | 1.94792 | − | 0.886887i | 0.0711754 | − | 0.0324061i | ||||
\(750\) | −2.38581 | + | 4.67314i | −0.0871175 | + | 0.170639i | ||||
\(751\) | 9.19443 | − | 15.9252i | 0.335510 | − | 0.581120i | −0.648073 | − | 0.761578i | \(-0.724425\pi\) |
0.983583 | + | 0.180459i | \(0.0577582\pi\) | |||||||
\(752\) | 17.7640 | + | 0.491128i | 0.647786 | + | 0.0179096i | ||||
\(753\) | 1.65699 | + | 28.3081i | 0.0603840 | + | 1.03160i | ||||
\(754\) | −30.6004 | − | 17.9502i | −1.11440 | − | 0.653708i | ||||
\(755\) | 17.0700i | 0.621240i | ||||||||
\(756\) | −24.6573 | − | 12.1662i | −0.896778 | − | 0.442481i | ||||
\(757\) | 38.9175i | 1.41448i | 0.706974 | + | 0.707240i | \(0.250060\pi\) | ||||
−0.706974 | + | 0.707240i | \(0.749940\pi\) | |||||||
\(758\) | −15.9393 | + | 27.1723i | −0.578941 | + | 0.986942i | ||||
\(759\) | −0.778317 | − | 13.2968i | −0.0282511 | − | 0.482643i | ||||
\(760\) | 15.3105 | − | 25.2928i | 0.555370 | − | 0.917467i | ||||
\(761\) | −15.4843 | + | 26.8196i | −0.561305 | + | 0.972209i | 0.436078 | + | 0.899909i | \(0.356367\pi\) |
−0.997383 | + | 0.0723002i | \(0.976966\pi\) | |||||||
\(762\) | 5.70719 | + | 2.91373i | 0.206750 | + | 0.105553i | ||||
\(763\) | −17.8045 | − | 39.1050i | −0.644565 | − | 1.41570i | ||||
\(764\) | −4.16678 | − | 2.48309i | −0.150749 | − | 0.0898352i | ||||
\(765\) | 34.1619 | + | 14.7125i | 1.23513 | + | 0.531932i | ||||
\(766\) | −32.1986 | + | 18.2944i | −1.16338 | + | 0.661002i | ||||
\(767\) | −16.6007 | + | 9.58445i | −0.599418 | + | 0.346074i | ||||
\(768\) | 13.9328 | + | 23.9557i | 0.502757 | + | 0.864428i | ||||
\(769\) | −11.7152 | − | 6.76375i | −0.422459 | − | 0.243907i | 0.273670 | − | 0.961824i | \(-0.411763\pi\) |
−0.696129 | + | 0.717917i | \(0.745096\pi\) | |||||||
\(770\) | −1.72931 | + | 16.6881i | −0.0623200 | + | 0.601399i | ||||
\(771\) | −2.56537 | + | 5.11177i | −0.0923897 | + | 0.184096i | ||||
\(772\) | 22.4847 | + | 0.310763i | 0.809243 | + | 0.0111846i | ||||
\(773\) | 25.4343i | 0.914808i | 0.889259 | + | 0.457404i | \(0.151221\pi\) | ||||
−0.889259 | + | 0.457404i | \(0.848779\pi\) | |||||||
\(774\) | −14.8543 | + | 1.64097i | −0.533927 | + | 0.0589834i | ||||
\(775\) | 56.9569i | 2.04595i | ||||||||
\(776\) | 22.7036 | + | 41.2769i | 0.815013 | + | 1.48175i | ||||
\(777\) | −12.0428 | − | 22.8126i | −0.432034 | − | 0.818397i | ||||
\(778\) | 0.0484209 | − | 7.00717i | 0.00173597 | − | 0.251219i | ||||
\(779\) | −2.92355 | + | 5.06373i | −0.104747 | + | 0.181427i | ||||
\(780\) | 53.8175 | + | 27.9463i | 1.92698 | + | 1.00064i | ||||
\(781\) | 10.4074 | − | 6.00873i | 0.372407 | − | 0.215009i | ||||
\(782\) | 14.8552 | + | 26.1455i | 0.531221 | + | 0.934963i | ||||
\(783\) | 15.6406 | + | 18.6068i | 0.558948 | + | 0.664954i | ||||
\(784\) | 8.36187 | + | 26.7223i | 0.298638 | + | 0.954366i | ||||
\(785\) | 47.3020 | − | 27.3098i | 1.68828 | − | 0.974728i | ||||
\(786\) | −12.7891 | − | 19.7282i | −0.456174 | − | 0.703681i | ||||
\(787\) | −11.0828 | + | 19.1959i | −0.395058 | + | 0.684261i | −0.993109 | − | 0.117198i | \(-0.962609\pi\) |
0.598050 | + | 0.801459i | \(0.295942\pi\) | |||||||
\(788\) | −7.19613 | − | 12.8717i | −0.256351 | − | 0.458534i | ||||
\(789\) | −33.4518 | + | 22.0155i | −1.19092 | + | 0.783773i | ||||
\(790\) | 35.4394 | − | 60.4149i | 1.26088 | − | 2.14947i | ||||
\(791\) | −0.309592 | − | 0.0299207i | −0.0110078 | − | 0.00106386i | ||||
\(792\) | −9.48744 | + | 6.77035i | −0.337122 | + | 0.240574i | ||||
\(793\) | −49.7739 | −1.76752 | ||||||||
\(794\) | −25.0359 | − | 14.6861i | −0.888491 | − | 0.521189i | ||||
\(795\) | −52.2152 | − | 26.2045i | −1.85188 | − | 0.929379i | ||||
\(796\) | 14.3139 | − | 8.00246i | 0.507344 | − | 0.283640i | ||||
\(797\) | −19.7595 | − | 11.4082i | −0.699918 | − | 0.404098i | 0.107399 | − | 0.994216i | \(-0.465748\pi\) |
−0.807317 | + | 0.590118i | \(0.799081\pi\) | |||||||
\(798\) | 20.7316 | + | 0.929171i | 0.733891 | + | 0.0328923i | ||||
\(799\) | −8.43689 | − | 14.6131i | −0.298476 | − | 0.516975i | ||||
\(800\) | 27.1404 | + | 16.9458i | 0.959558 | + | 0.599123i | ||||
\(801\) | 17.3360 | − | 2.03647i | 0.612537 | − | 0.0719552i | ||||
\(802\) | 10.2349 | + | 18.0137i | 0.361408 | + | 0.636087i | ||||
\(803\) | −2.17581 | + | 1.25620i | −0.0767826 | + | 0.0443305i | ||||
\(804\) | 1.20751 | + | 27.0276i | 0.0425856 | + | 0.953190i | ||||
\(805\) | −39.3544 | − | 28.0922i | −1.38706 | − | 0.990121i | ||||
\(806\) | 76.3662 | + | 0.527706i | 2.68989 | + | 0.0185876i | ||||
\(807\) | −2.89119 | − | 49.3931i | −0.101775 | − | 1.73872i | ||||
\(808\) | −0.722438 | − | 1.31345i | −0.0254153 | − | 0.0462069i | ||||
\(809\) | − | 28.8273i | − | 1.01351i | −0.862089 | − | 0.506757i | \(-0.830844\pi\) | ||
0.862089 | − | 0.506757i | \(-0.169156\pi\) | |||||||
\(810\) | −28.3382 | − | 30.3850i | −0.995704 | − | 1.06762i | ||||
\(811\) | 10.8394 | 0.380621 | 0.190311 | − | 0.981724i | \(-0.439051\pi\) | ||||
0.190311 | + | 0.981724i | \(0.439051\pi\) | |||||||
\(812\) | 2.72147 | − | 24.6032i | 0.0955049 | − | 0.863403i | ||||
\(813\) | −2.43815 | − | 41.6534i | −0.0855096 | − | 1.46085i | ||||
\(814\) | −10.9349 | − | 0.0755620i | −0.383266 | − | 0.00264845i | ||||
\(815\) | 18.8433 | − | 32.6375i | 0.660051 | − | 1.14324i | ||||
\(816\) | 12.4484 | − | 23.1833i | 0.435780 | − | 0.811578i | ||||
\(817\) | 9.76843 | − | 5.63980i | 0.341754 | − | 0.197312i | ||||
\(818\) | 6.65330 | + | 11.7100i | 0.232627 | + | 0.409430i | ||||
\(819\) | 0.876268 | + | 42.5552i | 0.0306193 | + | 1.48700i | ||||
\(820\) | −10.2409 | − | 6.10281i | −0.357627 | − | 0.213119i | ||||
\(821\) | 9.14093 | + | 15.8326i | 0.319021 | + | 0.552560i | 0.980284 | − | 0.197594i | \(-0.0633127\pi\) |
−0.661263 | + | 0.750154i | \(0.729979\pi\) | |||||||
\(822\) | −33.5228 | + | 1.72988i | −1.16924 | + | 0.0603365i | ||||
\(823\) | 14.2450 | − | 24.6730i | 0.496549 | − | 0.860048i | −0.503443 | − | 0.864028i | \(-0.667934\pi\) |
0.999992 | + | 0.00398013i | \(0.00126692\pi\) | |||||||
\(824\) | −24.9502 | + | 41.2176i | −0.869182 | + | 1.43588i | ||||
\(825\) | −6.03599 | + | 12.0273i | −0.210146 | + | 0.418738i | ||||
\(826\) | −10.8319 | − | 7.84566i | −0.376891 | − | 0.272985i | ||||
\(827\) | −23.8157 | −0.828153 | −0.414077 | − | 0.910242i | \(-0.635895\pi\) | ||||
−0.414077 | + | 0.910242i | \(0.635895\pi\) | |||||||
\(828\) | −3.45755 | − | 33.4122i | −0.120158 | − | 1.16115i | ||||
\(829\) | −14.1272 | −0.490659 | −0.245329 | − | 0.969440i | \(-0.578896\pi\) | ||||
−0.245329 | + | 0.969440i | \(0.578896\pi\) | |||||||
\(830\) | 8.78691 | + | 5.15441i | 0.304998 | + | 0.178912i | ||||
\(831\) | −34.2182 | + | 22.5199i | −1.18702 | + | 0.781207i | ||||
\(832\) | 22.9719 | − | 36.2321i | 0.796406 | − | 1.25612i | ||||
\(833\) | 17.4566 | − | 20.0529i | 0.604836 | − | 0.694792i | ||||
\(834\) | −4.47259 | + | 2.89943i | −0.154873 | + | 0.100399i | ||||
\(835\) | −12.1294 | + | 7.00290i | −0.419754 | + | 0.242345i | ||||
\(836\) | 4.50338 | − | 7.55694i | 0.155753 | − | 0.261362i | ||||
\(837\) | −49.1844 | − | 17.8532i | −1.70006 | − | 0.617098i | ||||
\(838\) | 6.42900 | + | 11.3152i | 0.222086 | + | 0.390877i | ||||
\(839\) | 2.81259 | + | 4.87155i | 0.0971015 | + | 0.168185i | 0.910484 | − | 0.413545i | \(-0.135710\pi\) |
−0.813382 | + | 0.581730i | \(0.802376\pi\) | |||||||
\(840\) | −2.47841 | + | 42.2386i | −0.0855133 | + | 1.45737i | ||||
\(841\) | 3.55850 | − | 6.16350i | 0.122707 | − | 0.212535i | ||||
\(842\) | 21.2471 | + | 0.146822i | 0.732223 | + | 0.00505981i | ||||
\(843\) | 27.3408 | − | 17.9937i | 0.941668 | − | 0.619736i | ||||
\(844\) | 0.428893 | − | 31.0319i | 0.0147631 | − | 1.06816i | ||||
\(845\) | − | 51.4379i | − | 1.76952i | ||||||
\(846\) | 2.06965 | + | 18.7348i | 0.0711559 | + | 0.644115i | ||||
\(847\) | 2.31944 | − | 23.9995i | 0.0796970 | − | 0.824631i | ||||
\(848\) | −21.6467 | + | 35.2087i | −0.743351 | + | 1.20907i | ||||
\(849\) | 7.03683 | − | 14.0216i | 0.241503 | − | 0.481220i | ||||
\(850\) | 0.209935 | − | 30.3805i | 0.00720072 | − | 1.04204i | ||||
\(851\) | 15.7573 | − | 27.2925i | 0.540154 | − | 0.935575i | ||||
\(852\) | 25.5440 | − | 16.3098i | 0.875124 | − | 0.558764i | ||||
\(853\) | 27.3976 | + | 47.4541i | 0.938076 | + | 1.62480i | 0.769054 | + | 0.639183i | \(0.220728\pi\) |
0.169022 | + | 0.985612i | \(0.445939\pi\) | |||||||
\(854\) | −14.1719 | − | 31.7058i | −0.484954 | − | 1.08495i | ||||
\(855\) | 28.8018 | + | 12.4041i | 0.985001 | + | 0.424211i | ||||
\(856\) | 0.0474294 | − | 2.28760i | 0.00162110 | − | 0.0781887i | ||||
\(857\) | 21.7943 | + | 37.7488i | 0.744478 | + | 1.28947i | 0.950438 | + | 0.310914i | \(0.100635\pi\) |
−0.205960 | + | 0.978560i | \(0.566032\pi\) | |||||||
\(858\) | 16.0700 | + | 8.20432i | 0.548620 | + | 0.280091i | ||||
\(859\) | −12.9118 | + | 22.3639i | −0.440545 | + | 0.763046i | −0.997730 | − | 0.0673423i | \(-0.978548\pi\) |
0.557185 | + | 0.830388i | \(0.311881\pi\) | |||||||
\(860\) | 11.2224 | + | 20.0734i | 0.382681 | + | 0.684499i | ||||
\(861\) | 0.316884 | − | 8.36169i | 0.0107994 | − | 0.284966i | ||||
\(862\) | −20.5133 | + | 34.9697i | −0.698685 | + | 1.19107i | ||||
\(863\) | − | 5.30974i | − | 0.180746i | −0.995908 | − | 0.0903728i | \(-0.971194\pi\) | ||
0.995908 | − | 0.0903728i | \(-0.0288059\pi\) | |||||||
\(864\) | −23.1405 | + | 18.1251i | −0.787256 | + | 0.616627i | ||||
\(865\) | −6.93644 | −0.235846 | ||||||||
\(866\) | −11.3265 | + | 19.3087i | −0.384891 | + | 0.656138i | ||||
\(867\) | 4.45144 | − | 0.260561i | 0.151179 | − | 0.00884913i | ||||
\(868\) | 21.4073 | + | 48.7952i | 0.726612 | + | 1.65622i | ||||
\(869\) | 10.4202 | − | 18.0483i | 0.353481 | − | 0.612248i | ||||
\(870\) | 17.0083 | − | 33.3145i | 0.576634 | − | 1.12947i | ||||
\(871\) | 36.2706 | − | 20.9408i | 1.22898 | − | 0.709553i | ||||
\(872\) | −45.9242 | − | 0.952158i | −1.55519 | − | 0.0322441i | ||||
\(873\) | −40.0619 | + | 29.8611i | −1.35589 | + | 1.01064i | ||||
\(874\) | 12.5244 | + | 22.0432i | 0.423643 | + | 0.745623i | ||||
\(875\) | 2.34838 | + | 5.15789i | 0.0793899 | + | 0.174368i | ||||
\(876\) | −5.34031 | + | 3.40977i | −0.180432 | + | 0.115206i | ||||
\(877\) | 12.7473 | + | 7.35967i | 0.430446 | + | 0.248518i | 0.699537 | − | 0.714597i | \(-0.253390\pi\) |
−0.269090 | + | 0.963115i | \(0.586723\pi\) | |||||||
\(878\) | −24.1611 | − | 0.166958i | −0.815399 | − | 0.00563457i | ||||
\(879\) | 10.6109 | + | 5.32514i | 0.357896 | + | 0.179612i | ||||
\(880\) | 15.2792 | + | 9.39381i | 0.515061 | + | 0.316665i | ||||
\(881\) | −0.816537 | −0.0275098 | −0.0137549 | − | 0.999905i | \(-0.504378\pi\) | ||||
−0.0137549 | + | 0.999905i | \(0.504378\pi\) | |||||||
\(882\) | −26.8580 | + | 12.6748i | −0.904355 | + | 0.426781i | ||||
\(883\) | 35.1168i | 1.18177i | 0.806755 | + | 0.590886i | \(0.201222\pi\) | ||||
−0.806755 | + | 0.590886i | \(0.798778\pi\) | |||||||
\(884\) | −40.7314 | − | 0.562951i | −1.36994 | − | 0.0189341i | ||||
\(885\) | −11.1109 | − | 16.8827i | −0.373490 | − | 0.567505i | ||||
\(886\) | 0.120829 | − | 17.4856i | 0.00405932 | − | 0.587439i | ||||
\(887\) | −3.86884 | + | 6.70103i | −0.129903 | + | 0.224999i | −0.923639 | − | 0.383264i | \(-0.874800\pi\) |
0.793736 | + | 0.608263i | \(0.208133\pi\) | |||||||
\(888\) | −27.5576 | + | 1.04044i | −0.924774 | + | 0.0349149i | ||||
\(889\) | 6.29920 | − | 2.86802i | 0.211268 | − | 0.0961904i | ||||
\(890\) | −13.2694 | − | 23.3544i | −0.444790 | − | 0.782842i | ||||
\(891\) | −8.49405 | − | 8.98229i | −0.284561 | − | 0.300918i | ||||
\(892\) | −21.4187 | − | 12.7640i | −0.717151 | − | 0.427370i | ||||
\(893\) | −7.11312 | − | 12.3203i | −0.238031 | − | 0.412283i | ||||
\(894\) | 26.1811 | − | 16.9724i | 0.875627 | − | 0.567640i | ||||
\(895\) | −59.4270 | − | 34.3102i | −1.98642 | − | 1.14686i | ||||
\(896\) | 29.6204 | + | 4.31675i | 0.989547 | + | 0.144212i | ||||
\(897\) | −43.4369 | + | 28.5870i | −1.45032 | + | 0.954491i | ||||
\(898\) | −24.3753 | + | 41.5535i | −0.813415 | + | 1.38666i | ||||
\(899\) | − | 47.1059i | − | 1.57107i | ||||||
\(900\) | −13.8532 | + | 30.9809i | −0.461774 | + | 1.03270i | ||||
\(901\) | 39.2446 | 1.30743 | ||||||||
\(902\) | −3.05955 | − | 1.79473i | −0.101872 | − | 0.0597581i | ||||
\(903\) | −8.59466 | + | 13.6638i | −0.286012 | + | 0.454702i | ||||
\(904\) | −0.172188 | + | 0.284454i | −0.00572689 | + | 0.00946079i | ||||
\(905\) | −8.55499 | − | 4.93922i | −0.284377 | − | 0.164185i | ||||
\(906\) | 0.660094 | + | 12.7918i | 0.0219301 | + | 0.424977i | ||||
\(907\) | 14.2113 | − | 8.20487i | 0.471877 | − | 0.272438i | −0.245148 | − | 0.969486i | \(-0.578837\pi\) |
0.717025 | + | 0.697047i | \(0.245503\pi\) | |||||||
\(908\) | −6.08899 | − | 3.62859i | −0.202070 | − | 0.120419i | ||||
\(909\) | 1.27478 | − | 0.950191i | 0.0422819 | − | 0.0315158i | ||||
\(910\) | 59.7979 | − | 26.7287i | 1.98228 | − | 0.886046i | ||||
\(911\) | −24.6180 | + | 14.2132i | −0.815630 | + | 0.470904i | −0.848907 | − | 0.528542i | \(-0.822739\pi\) |
0.0332774 | + | 0.999446i | \(0.489406\pi\) | |||||||
\(912\) | 10.4952 | − | 19.5458i | 0.347530 | − | 0.647225i | ||||
\(913\) | 2.62500 | + | 1.51554i | 0.0868748 | + | 0.0501572i | ||||
\(914\) | −0.169014 | + | 24.4586i | −0.00559049 | + | 0.809020i | ||||
\(915\) | −3.06659 | − | 52.3898i | −0.101378 | − | 1.73195i | ||||
\(916\) | 20.3437 | + | 0.281172i | 0.672176 | + | 0.00929019i | ||||
\(917\) | −25.2769 | − | 2.44291i | −0.834718 | − | 0.0806719i | ||||
\(918\) | 26.1689 | + | 9.70411i | 0.863702 | + | 0.320283i | ||||
\(919\) | −44.9942 | −1.48422 | −0.742110 | − | 0.670278i | \(-0.766175\pi\) | ||||
−0.742110 | + | 0.670278i | \(0.766175\pi\) | |||||||
\(920\) | −45.2916 | + | 24.9119i | −1.49322 | + | 0.821321i | ||||
\(921\) | −1.74824 | + | 0.102332i | −0.0576065 | + | 0.00337195i | ||||
\(922\) | 25.1343 | + | 0.173683i | 0.827753 | + | 0.00571994i | ||||
\(923\) | −40.6308 | − | 23.4582i | −1.33738 | − | 0.772136i | ||||
\(924\) | −0.650567 | + | 12.5725i | −0.0214021 | + | 0.413605i | ||||
\(925\) | −27.5740 | + | 15.9199i | −0.906629 | + | 0.523442i | ||||
\(926\) | 19.3226 | − | 10.9786i | 0.634981 | − | 0.360779i | ||||
\(927\) | −46.9359 | − | 20.2139i | −1.54158 | − | 0.663912i | ||||
\(928\) | −22.4463 | − | 14.0149i | −0.736837 | − | 0.460062i | ||||
\(929\) | −18.9733 | − | 32.8627i | −0.622493 | − | 1.07819i | −0.989020 | − | 0.147782i | \(-0.952787\pi\) |
0.366527 | − | 0.930407i | \(-0.380547\pi\) | |||||||
\(930\) | 4.14951 | + | 80.4121i | 0.136068 | + | 2.63682i | ||||
\(931\) | 14.7176 | − | 16.9065i | 0.482351 | − | 0.554090i | ||||
\(932\) | 6.51022 | − | 3.63966i | 0.213249 | − | 0.119221i | ||||
\(933\) | 6.95390 | − | 13.8564i | 0.227660 | − | 0.453637i | ||||
\(934\) | 21.3687 | − | 36.4280i | 0.699205 | − | 1.19196i | ||||
\(935\) | − | 17.0306i | − | 0.556960i | ||||||
\(936\) | 41.4100 | + | 18.8611i | 1.35353 | + | 0.616493i | ||||
\(937\) | 37.8218i | 1.23559i | 0.786341 | + | 0.617793i | \(0.211973\pi\) | ||||
−0.786341 | + | 0.617793i | \(0.788027\pi\) | |||||||
\(938\) | 23.6664 | + | 17.1418i | 0.772736 | + | 0.559700i | ||||
\(939\) | 10.3941 | − | 6.84065i | 0.339200 | − | 0.223236i | ||||
\(940\) | 25.3173 | − | 14.1541i | 0.825761 | − | 0.461656i | ||||
\(941\) | 22.5442 | + | 13.0159i | 0.734921 | + | 0.424307i | 0.820220 | − | 0.572049i | \(-0.193851\pi\) |
−0.0852987 | + | 0.996355i | \(0.527184\pi\) | |||||||
\(942\) | 34.3907 | − | 22.2943i | 1.12051 | − | 0.726389i | ||||
\(943\) | 8.85306 | − | 5.11132i | 0.288295 | − | 0.166447i | ||||
\(944\) | −12.5755 | + | 6.80418i | −0.409297 | + | 0.221457i | ||||
\(945\) | −44.7377 | + | 3.54416i | −1.45532 | + | 0.115292i | ||||
\(946\) | 3.38032 | + | 5.94945i | 0.109904 | + | 0.193433i | ||||
\(947\) | 9.17669 | + | 15.8945i | 0.298202 | + | 0.516502i | 0.975725 | − | 0.219000i | \(-0.0702796\pi\) |
−0.677522 | + | 0.735502i | \(0.736946\pi\) | |||||||
\(948\) | 24.2211 | − | 46.6436i | 0.786663 | − | 1.51491i | ||||
\(949\) | 8.49440 | + | 4.90424i | 0.275740 | + | 0.159198i | ||||
\(950\) | 0.176996 | − | 25.6137i | 0.00574250 | − | 0.831018i | ||||
\(951\) | 24.1012 | + | 36.6210i | 0.781535 | + | 1.18752i | ||||
\(952\) | −11.2387 | − | 26.1060i | −0.364248 | − | 0.846100i | ||||
\(953\) | 47.0368i | 1.52367i | 0.647770 | + | 0.761836i | \(0.275702\pi\) | ||||
−0.647770 | + | 0.761836i | \(0.724298\pi\) | |||||||
\(954\) | −40.1419 | − | 17.6178i | −1.29964 | − | 0.570396i | ||||
\(955\) | −7.91701 | −0.256189 | ||||||||
\(956\) | 0.113219 | − | 8.19180i | 0.00366178 | − | 0.264942i | ||||
\(957\) | 4.99204 | − | 9.94715i | 0.161370 | − | 0.321546i | ||||
\(958\) | 0.256769 | − | 37.1579i | 0.00829582 | − | 1.20052i | ||||
\(959\) | −21.0650 | + | 29.5099i | −0.680223 | + | 0.952925i | ||||
\(960\) | 39.5515 | + | 21.9469i | 1.27652 | + | 0.708332i | ||||
\(961\) | 35.2008 | + | 60.9695i | 1.13551 | + | 1.96676i | ||||
\(962\) | 21.0895 | + | 37.1180i | 0.679951 | + | 1.19673i | ||||
\(963\) | 2.41032 | − | 0.283142i | 0.0776714 | − | 0.00912412i | ||||
\(964\) | 7.71654 | + | 4.59849i | 0.248533 | + | 0.148107i | ||||
\(965\) | 31.7856 | − | 18.3514i | 1.02321 | − | 0.590753i | ||||
\(966\) | −30.5774 | − | 19.5297i | −0.983812 | − | 0.628357i | ||||
\(967\) | 22.0735 | − | 38.2325i | 0.709837 | − | 1.22947i | −0.255080 | − | 0.966920i | \(-0.582102\pi\) |
0.964917 | − | 0.262554i | \(-0.0845648\pi\) | |||||||
\(968\) | −22.0508 | − | 13.3480i | −0.708738 | − | 0.429020i | ||||
\(969\) | −21.0295 | + | 1.23094i | −0.675564 | + | 0.0395435i | ||||
\(970\) | 66.3219 | + | 38.9045i | 2.12947 | + | 1.24915i | ||||
\(971\) | − | 25.9425i | − | 0.832535i | −0.909242 | − | 0.416267i | \(-0.863338\pi\) | ||
0.909242 | − | 0.416267i | \(-0.136662\pi\) | |||||||
\(972\) | −22.4109 | − | 21.6738i | −0.718829 | − | 0.695187i | ||||
\(973\) | −0.553832 | + | 5.73054i | −0.0177550 | + | 0.183713i | ||||
\(974\) | 32.3793 | + | 18.9937i | 1.03750 | + | 0.608599i | ||||
\(975\) | 52.4465 | − | 3.06991i | 1.67963 | − | 0.0983158i | ||||
\(976\) | −37.1126 | − | 1.02607i | −1.18795 | − | 0.0328436i | ||||
\(977\) | −7.80914 | − | 4.50861i | −0.249836 | − | 0.144243i | 0.369853 | − | 0.929090i | \(-0.379408\pi\) |
−0.619689 | + | 0.784847i | \(0.712741\pi\) | |||||||
\(978\) | 12.8585 | − | 25.1863i | 0.411170 | − | 0.805369i | ||||
\(979\) | −3.99610 | − | 6.92144i | −0.127716 | − | 0.221210i | ||||
\(980\) | 34.0521 | + | 30.4806i | 1.08775 | + | 0.973669i | ||||
\(981\) | −5.68415 | − | 48.3877i | −0.181481 | − | 1.54490i | ||||
\(982\) | 7.85159 | − | 4.46107i | 0.250554 | − | 0.142358i | ||||
\(983\) | 12.2838 | + | 21.2762i | 0.391793 | + | 0.678605i | 0.992686 | − | 0.120724i | \(-0.0385216\pi\) |
−0.600893 | + | 0.799329i | \(0.705188\pi\) | |||||||
\(984\) | −7.91021 | − | 4.17726i | −0.252168 | − | 0.133166i | ||||
\(985\) | −20.8447 | − | 12.0347i | −0.664166 | − | 0.383457i | ||||
\(986\) | −0.173626 | + | 25.1261i | −0.00552938 | + | 0.800177i | ||||
\(987\) | 17.2332 | + | 10.8399i | 0.548540 | + | 0.345037i | ||||
\(988\) | −34.3405 | − | 0.474622i | −1.09252 | − | 0.0150997i | ||||
\(989\) | −19.7205 | −0.627074 | ||||||||
\(990\) | −7.64541 | + | 17.4200i | −0.242987 | + | 0.553644i | ||||
\(991\) | 15.8161 | 0.502414 | 0.251207 | − | 0.967933i | \(-0.419172\pi\) | ||||
0.251207 | + | 0.967933i | \(0.419172\pi\) | |||||||
\(992\) | 56.9296 | + | 1.96773i | 1.80752 | + | 0.0624754i | ||||
\(993\) | −14.0151 | + | 9.22368i | −0.444755 | + | 0.292705i | ||||
\(994\) | 3.37412 | − | 32.5608i | 0.107020 | − | 1.03277i | ||||
\(995\) | 13.3832 | − | 23.1803i | 0.424275 | − | 0.734866i | ||||
\(996\) | 6.78398 | + | 3.52278i | 0.214959 | + | 0.111624i | ||||
\(997\) | −1.75501 | − | 3.03976i | −0.0555816 | − | 0.0962702i | 0.836896 | − | 0.547362i | \(-0.184368\pi\) |
−0.892477 | + | 0.451092i | \(0.851035\pi\) | |||||||
\(998\) | 5.05574 | + | 8.89824i | 0.160037 | + | 0.281669i | ||||
\(999\) | −5.10427 | − | 28.8013i | −0.161492 | − | 0.911234i |
(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 | 504.2.cc.b.293.13 | ✓ | 168 | |
7.6 | odd | 2 | inner | 504.2.cc.b.293.14 | yes | 168 | |
8.5 | even | 2 | inner | 504.2.cc.b.293.42 | yes | 168 | |
9.2 | odd | 6 | inner | 504.2.cc.b.461.41 | yes | 168 | |
56.13 | odd | 2 | inner | 504.2.cc.b.293.41 | yes | 168 | |
63.20 | even | 6 | inner | 504.2.cc.b.461.42 | yes | 168 | |
72.29 | odd | 6 | inner | 504.2.cc.b.461.14 | yes | 168 | |
504.461 | even | 6 | inner | 504.2.cc.b.461.13 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.cc.b.293.13 | ✓ | 168 | 1.1 | even | 1 | trivial | |
504.2.cc.b.293.14 | yes | 168 | 7.6 | odd | 2 | inner | |
504.2.cc.b.293.41 | yes | 168 | 56.13 | odd | 2 | inner | |
504.2.cc.b.293.42 | yes | 168 | 8.5 | even | 2 | inner | |
504.2.cc.b.461.13 | yes | 168 | 504.461 | even | 6 | inner | |
504.2.cc.b.461.14 | yes | 168 | 72.29 | odd | 6 | inner | |
504.2.cc.b.461.41 | yes | 168 | 9.2 | odd | 6 | inner | |
504.2.cc.b.461.42 | yes | 168 | 63.20 | even | 6 | inner |