Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [460,2,Mod(19,460)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(460, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("460.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 460 = 2^{2} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 460.o (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.67311849298\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 19.1 | ||
Character | \(\chi\) | \(=\) | 460.19 |
Dual form | 460.2.o.b.339.1 |
$q$-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 \(\left(\mathbb{Z}/460\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(277\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{15}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41365 | − | 0.0397971i | −0.999604 | − | 0.0281408i | ||||
\(3\) | 2.67003 | − | 0.783991i | 1.54154 | − | 0.452637i | 0.602982 | − | 0.797755i | \(-0.293979\pi\) |
0.938559 | + | 0.345118i | \(0.112161\pi\) | |||||||
\(4\) | 1.99683 | + | 0.112519i | 0.998416 | + | 0.0562594i | ||||
\(5\) | 1.97695 | + | 1.04482i | 0.884121 | + | 0.467258i | ||||
\(6\) | −3.80569 | + | 1.00203i | −1.55367 | + | 0.409078i | ||||
\(7\) | 0.790909 | − | 0.113716i | 0.298935 | − | 0.0429804i | 0.00878480 | − | 0.999961i | \(-0.497204\pi\) |
0.290151 | + | 0.956981i | \(0.406295\pi\) | |||||||
\(8\) | −2.81835 | − | 0.238531i | −0.996438 | − | 0.0843333i | ||||
\(9\) | 3.99064 | − | 2.56463i | 1.33021 | − | 0.854877i | ||||
\(10\) | −2.75315 | − | 1.55569i | −0.870622 | − | 0.491953i | ||||
\(11\) | 1.99109 | − | 4.35987i | 0.600335 | − | 1.31455i | −0.328657 | − | 0.944449i | \(-0.606596\pi\) |
0.928992 | − | 0.370101i | \(-0.120677\pi\) | |||||||
\(12\) | 5.41981 | − | 1.26507i | 1.56456 | − | 0.365194i | ||||
\(13\) | −5.90595 | − | 0.849148i | −1.63802 | − | 0.235511i | −0.739089 | − | 0.673608i | \(-0.764744\pi\) |
−0.898928 | + | 0.438097i | \(0.855653\pi\) | |||||||
\(14\) | −1.12260 | + | 0.129278i | −0.300027 | + | 0.0345511i | ||||
\(15\) | 6.09765 | + | 1.23979i | 1.57441 | + | 0.320111i | ||||
\(16\) | 3.97468 | + | 0.449362i | 0.993670 | + | 0.112340i | ||||
\(17\) | 1.26656 | + | 1.46169i | 0.307186 | + | 0.354512i | 0.888262 | − | 0.459338i | \(-0.151913\pi\) |
−0.581075 | + | 0.813850i | \(0.697368\pi\) | |||||||
\(18\) | −5.74345 | + | 3.46668i | −1.35374 | + | 0.817105i | ||||
\(19\) | 0.618802 | − | 0.714136i | 0.141963 | − | 0.163834i | −0.680315 | − | 0.732919i | \(-0.738157\pi\) |
0.822278 | + | 0.569085i | \(0.192703\pi\) | |||||||
\(20\) | 3.83008 | + | 2.30878i | 0.856433 | + | 0.516258i | ||||
\(21\) | 2.02260 | − | 0.923689i | 0.441367 | − | 0.201565i | ||||
\(22\) | −2.98822 | + | 6.08411i | −0.637090 | + | 1.29714i | ||||
\(23\) | −2.20929 | + | 4.25664i | −0.460670 | + | 0.887572i | ||||
\(24\) | −7.71208 | + | 1.57268i | −1.57422 | + | 0.321022i | ||||
\(25\) | 2.81670 | + | 4.13113i | 0.563340 | + | 0.826225i | ||||
\(26\) | 8.31518 | + | 1.43544i | 1.63074 | + | 0.281513i | ||||
\(27\) | 3.17754 | − | 3.66708i | 0.611518 | − | 0.705730i | ||||
\(28\) | 1.59211 | − | 0.138079i | 0.300880 | − | 0.0260944i | ||||
\(29\) | −5.41409 | − | 6.24819i | −1.00537 | − | 1.16026i | −0.987048 | − | 0.160428i | \(-0.948713\pi\) |
−0.0183237 | − | 0.999832i | \(-0.505833\pi\) | |||||||
\(30\) | −8.57063 | − | 1.99530i | −1.56478 | − | 0.364290i | ||||
\(31\) | −1.72567 | + | 5.87709i | −0.309940 | + | 1.05556i | 0.646327 | + | 0.763061i | \(0.276304\pi\) |
−0.956267 | + | 0.292497i | \(0.905514\pi\) | |||||||
\(32\) | −5.60094 | − | 0.793423i | −0.990115 | − | 0.140259i | ||||
\(33\) | 1.89816 | − | 13.2020i | 0.330427 | − | 2.29817i | ||||
\(34\) | −1.73231 | − | 2.11673i | −0.297088 | − | 0.363016i | ||||
\(35\) | 1.68240 | + | 0.601548i | 0.284378 | + | 0.101680i | ||||
\(36\) | 8.25722 | − | 4.67212i | 1.37620 | − | 0.778686i | ||||
\(37\) | −5.66971 | + | 3.64370i | −0.932095 | + | 0.599021i | −0.916143 | − | 0.400852i | \(-0.868714\pi\) |
−0.0159517 | + | 0.999873i | \(0.505078\pi\) | |||||||
\(38\) | −0.903192 | + | 0.984914i | −0.146517 | + | 0.159774i | ||||
\(39\) | −16.4348 | + | 2.36296i | −2.63167 | + | 0.378377i | ||||
\(40\) | −5.32253 | − | 3.41624i | −0.841566 | − | 0.540154i | ||||
\(41\) | 5.17715 | + | 3.32716i | 0.808536 | + | 0.519614i | 0.878391 | − | 0.477943i | \(-0.158617\pi\) |
−0.0698552 | + | 0.997557i | \(0.522254\pi\) | |||||||
\(42\) | −2.89601 | + | 1.22528i | −0.446864 | + | 0.189065i | ||||
\(43\) | 2.12347 | + | 7.23187i | 0.323826 | + | 1.10285i | 0.947125 | + | 0.320866i | \(0.103974\pi\) |
−0.623299 | + | 0.781984i | \(0.714208\pi\) | |||||||
\(44\) | 4.46643 | − | 8.48189i | 0.673340 | − | 1.27869i | ||||
\(45\) | 10.5689 | − | 0.900651i | 1.57552 | − | 0.134261i | ||||
\(46\) | 3.29258 | − | 5.92950i | 0.485464 | − | 0.874257i | ||||
\(47\) | 9.15791 | 1.33582 | 0.667909 | − | 0.744243i | \(-0.267189\pi\) | ||||
0.667909 | + | 0.744243i | \(0.267189\pi\) | |||||||
\(48\) | 10.9648 | − | 1.91630i | 1.58263 | − | 0.276595i | ||||
\(49\) | −6.10385 | + | 1.79225i | −0.871978 | + | 0.256036i | ||||
\(50\) | −3.81743 | − | 5.95208i | −0.539866 | − | 0.841751i | ||||
\(51\) | 4.52770 | + | 2.90978i | 0.634005 | + | 0.407450i | ||||
\(52\) | −11.6977 | − | 2.36014i | −1.62217 | − | 0.327292i | ||||
\(53\) | −0.828412 | − | 5.76174i | −0.113791 | − | 0.791435i | −0.964174 | − | 0.265271i | \(-0.914539\pi\) |
0.850383 | − | 0.526165i | \(-0.176370\pi\) | |||||||
\(54\) | −4.63788 | + | 5.05752i | −0.631136 | + | 0.688242i | ||||
\(55\) | 8.49157 | − | 6.53894i | 1.14500 | − | 0.881710i | ||||
\(56\) | −2.25618 | + | 0.131834i | −0.301495 | + | 0.0176171i | ||||
\(57\) | 1.09234 | − | 2.39190i | 0.144684 | − | 0.316814i | ||||
\(58\) | 7.40499 | + | 9.04824i | 0.972322 | + | 1.18809i | ||||
\(59\) | 1.41915 | + | 0.204043i | 0.184758 | + | 0.0265642i | 0.234073 | − | 0.972219i | \(-0.424795\pi\) |
−0.0493148 | + | 0.998783i | \(0.515704\pi\) | |||||||
\(60\) | 12.0365 | + | 3.16175i | 1.55390 | + | 0.408180i | ||||
\(61\) | 1.54500 | − | 5.26179i | 0.197817 | − | 0.673703i | −0.799511 | − | 0.600651i | \(-0.794908\pi\) |
0.997328 | − | 0.0730516i | \(-0.0232738\pi\) | |||||||
\(62\) | 2.67339 | − | 8.23950i | 0.339521 | − | 1.04642i | ||||
\(63\) | 2.86460 | − | 2.48219i | 0.360905 | − | 0.312726i | ||||
\(64\) | 7.88621 | + | 1.34453i | 0.985776 | + | 0.168066i | ||||
\(65\) | −10.7886 | − | 7.84939i | −1.33816 | − | 0.973597i | ||||
\(66\) | −3.20874 | + | 18.5875i | −0.394968 | + | 2.28796i | ||||
\(67\) | −1.33870 | + | 0.611366i | −0.163549 | + | 0.0746902i | −0.495507 | − | 0.868604i | \(-0.665018\pi\) |
0.331959 | + | 0.943294i | \(0.392291\pi\) | |||||||
\(68\) | 2.36464 | + | 3.06126i | 0.286755 | + | 0.371232i | ||||
\(69\) | −2.56170 | + | 13.0974i | −0.308393 | + | 1.57674i | ||||
\(70\) | −2.35440 | − | 0.917335i | −0.281404 | − | 0.109642i | ||||
\(71\) | 8.87792 | − | 4.05441i | 1.05362 | − | 0.481170i | 0.188151 | − | 0.982140i | \(-0.439751\pi\) |
0.865465 | + | 0.500970i | \(0.167023\pi\) | |||||||
\(72\) | −11.8588 | + | 6.27614i | −1.39757 | + | 0.739650i | ||||
\(73\) | −2.40346 | − | 2.08261i | −0.281304 | − | 0.243751i | 0.502768 | − | 0.864421i | \(-0.332315\pi\) |
−0.784072 | + | 0.620670i | \(0.786860\pi\) | |||||||
\(74\) | 8.16001 | − | 4.92529i | 0.948582 | − | 0.572554i | ||||
\(75\) | 10.7594 | + | 8.82196i | 1.24239 | + | 1.01867i | ||||
\(76\) | 1.31600 | − | 1.35638i | 0.150955 | − | 0.155588i | ||||
\(77\) | 1.07898 | − | 3.67468i | 0.122961 | − | 0.418768i | ||||
\(78\) | 23.3271 | − | 2.68636i | 2.64128 | − | 0.304170i | ||||
\(79\) | −1.00145 | + | 6.96520i | −0.112671 | + | 0.783647i | 0.852631 | + | 0.522513i | \(0.175005\pi\) |
−0.965303 | + | 0.261134i | \(0.915904\pi\) | |||||||
\(80\) | 7.38826 | + | 5.04120i | 0.826032 | + | 0.563623i | ||||
\(81\) | −0.302627 | + | 0.662660i | −0.0336252 | + | 0.0736289i | ||||
\(82\) | −7.18629 | − | 4.90948i | −0.793593 | − | 0.542161i | ||||
\(83\) | −3.07852 | − | 4.79028i | −0.337912 | − | 0.525801i | 0.630163 | − | 0.776463i | \(-0.282988\pi\) |
−0.968075 | + | 0.250662i | \(0.919352\pi\) | |||||||
\(84\) | 4.14272 | − | 1.61687i | 0.452008 | − | 0.176415i | ||||
\(85\) | 0.976729 | + | 4.21302i | 0.105941 | + | 0.456966i | ||||
\(86\) | −2.71404 | − | 10.3079i | −0.292662 | − | 1.11153i | ||||
\(87\) | −19.3543 | − | 12.4382i | −2.07500 | − | 1.33352i | ||||
\(88\) | −6.65154 | + | 11.8127i | −0.709057 | + | 1.25924i | ||||
\(89\) | −1.73215 | − | 5.89918i | −0.183608 | − | 0.625312i | −0.998928 | − | 0.0463003i | \(-0.985257\pi\) |
0.815320 | − | 0.579011i | \(-0.196561\pi\) | |||||||
\(90\) | −14.9766 | + | 0.852596i | −1.57867 | + | 0.0898715i | ||||
\(91\) | −4.76763 | −0.499783 | ||||||||
\(92\) | −4.89054 | + | 8.25122i | −0.509874 | + | 0.860249i | ||||
\(93\) | 17.0449i | 1.76748i | ||||||||
\(94\) | −12.9461 | − | 0.364459i | −1.33529 | − | 0.0375910i | ||||
\(95\) | 1.96949 | − | 0.765276i | 0.202065 | − | 0.0785157i | ||||
\(96\) | −15.5767 | + | 2.27262i | −1.58979 | + | 0.231948i | ||||
\(97\) | 7.73828 | + | 4.97309i | 0.785703 | + | 0.504941i | 0.870922 | − | 0.491421i | \(-0.163522\pi\) |
−0.0852185 | + | 0.996362i | \(0.527159\pi\) | |||||||
\(98\) | 8.70005 | − | 2.29071i | 0.878838 | − | 0.231396i | ||||
\(99\) | −3.23574 | − | 22.5051i | −0.325204 | − | 2.26185i | ||||
\(100\) | 5.15965 | + | 8.56610i | 0.515965 | + | 0.856610i | ||||
\(101\) | −5.28571 | + | 3.39692i | −0.525948 | + | 0.338006i | −0.776521 | − | 0.630091i | \(-0.783017\pi\) |
0.250573 | + | 0.968098i | \(0.419381\pi\) | |||||||
\(102\) | −6.28480 | − | 4.29361i | −0.622288 | − | 0.425130i | ||||
\(103\) | −9.68876 | − | 4.42471i | −0.954662 | − | 0.435980i | −0.123707 | − | 0.992319i | \(-0.539478\pi\) |
−0.830955 | + | 0.556339i | \(0.812206\pi\) | |||||||
\(104\) | 16.4425 | + | 3.80195i | 1.61232 | + | 0.372812i | ||||
\(105\) | 4.96367 | + | 0.287160i | 0.484405 | + | 0.0280240i | ||||
\(106\) | 0.941788 | + | 8.17807i | 0.0914745 | + | 0.794324i | ||||
\(107\) | −0.719395 | + | 2.45003i | −0.0695465 | + | 0.236854i | −0.986930 | − | 0.161152i | \(-0.948479\pi\) |
0.917383 | + | 0.398005i | \(0.130297\pi\) | |||||||
\(108\) | 6.75764 | − | 6.96501i | 0.650254 | − | 0.670209i | ||||
\(109\) | −15.5442 | + | 13.4692i | −1.48887 | + | 1.29011i | −0.631538 | + | 0.775345i | \(0.717576\pi\) |
−0.857331 | + | 0.514766i | \(0.827879\pi\) | |||||||
\(110\) | −12.2644 | + | 8.90585i | −1.16936 | + | 0.849139i | ||||
\(111\) | −12.2817 | + | 14.1738i | −1.16572 | + | 1.34532i | ||||
\(112\) | 3.19471 | − | 0.0965784i | 0.301872 | − | 0.00912580i | ||||
\(113\) | −6.04320 | − | 13.2328i | −0.568496 | − | 1.24483i | −0.947594 | − | 0.319477i | \(-0.896493\pi\) |
0.379098 | − | 0.925357i | \(-0.376234\pi\) | |||||||
\(114\) | −1.63938 | + | 3.33784i | −0.153542 | + | 0.312617i | ||||
\(115\) | −8.81510 | + | 6.10688i | −0.822013 | + | 0.569469i | ||||
\(116\) | −10.1080 | − | 13.0858i | −0.938503 | − | 1.21498i | ||||
\(117\) | −25.7463 | + | 11.7579i | −2.38025 | + | 1.08702i | ||||
\(118\) | −1.99807 | − | 0.344924i | −0.183937 | − | 0.0317529i | ||||
\(119\) | 1.16795 | + | 1.01203i | 0.107066 | + | 0.0927731i | ||||
\(120\) | −16.8896 | − | 4.94863i | −1.54180 | − | 0.451746i | ||||
\(121\) | −7.84057 | − | 9.04850i | −0.712779 | − | 0.822591i | ||||
\(122\) | −2.39350 | + | 7.37686i | −0.216697 | + | 0.667869i | ||||
\(123\) | 16.4316 | + | 4.82475i | 1.48159 | + | 0.435033i | ||||
\(124\) | −4.10716 | + | 11.5414i | −0.368834 | + | 1.03645i | ||||
\(125\) | 1.25220 | + | 11.1100i | 0.112000 | + | 0.993708i | ||||
\(126\) | −4.14833 | + | 3.39495i | −0.369563 | + | 0.302446i | ||||
\(127\) | 5.41839 | − | 11.8646i | 0.480805 | − | 1.05282i | −0.501437 | − | 0.865194i | \(-0.667195\pi\) |
0.982241 | − | 0.187621i | \(-0.0600777\pi\) | |||||||
\(128\) | −11.0949 | − | 2.21454i | −0.980656 | − | 0.195740i | ||||
\(129\) | 11.3394 | + | 17.6445i | 0.998381 | + | 1.55351i | ||||
\(130\) | 14.9389 | + | 11.5257i | 1.31023 | + | 1.01087i | ||||
\(131\) | −2.02589 | + | 0.291279i | −0.177003 | + | 0.0254491i | −0.230246 | − | 0.973132i | \(-0.573953\pi\) |
0.0532436 | + | 0.998582i | \(0.483044\pi\) | |||||||
\(132\) | 5.27577 | − | 26.1485i | 0.459197 | − | 2.27594i | ||||
\(133\) | 0.408208 | − | 0.635184i | 0.0353961 | − | 0.0550774i | ||||
\(134\) | 1.91679 | − | 0.810983i | 0.165586 | − | 0.0700582i | ||||
\(135\) | 10.1133 | − | 3.92969i | 0.870414 | − | 0.338214i | ||||
\(136\) | −3.22095 | − | 4.42167i | −0.276195 | − | 0.379155i | ||||
\(137\) | 7.07892 | 0.604793 | 0.302396 | − | 0.953182i | \(-0.402213\pi\) | ||||
0.302396 | + | 0.953182i | \(0.402213\pi\) | |||||||
\(138\) | 4.14260 | − | 18.4133i | 0.352642 | − | 1.56744i | ||||
\(139\) | − | 10.9592i | − | 0.929544i | −0.885430 | − | 0.464772i | \(-0.846136\pi\) | ||
0.885430 | − | 0.464772i | \(-0.153864\pi\) | |||||||
\(140\) | 3.29179 | + | 1.39049i | 0.278207 | + | 0.117518i | ||||
\(141\) | 24.4519 | − | 7.17972i | 2.05922 | − | 0.604641i | ||||
\(142\) | −12.7117 | + | 5.37822i | −1.06674 | + | 0.451330i | ||||
\(143\) | −15.4614 | + | 24.0585i | −1.29295 | + | 2.01187i | ||||
\(144\) | 17.0140 | − | 8.40034i | 1.41783 | − | 0.700028i | ||||
\(145\) | −4.17517 | − | 18.0091i | −0.346729 | − | 1.49558i | ||||
\(146\) | 3.31478 | + | 3.03974i | 0.274333 | + | 0.251571i | ||||
\(147\) | −14.8923 | + | 9.57072i | −1.22830 | + | 0.789379i | ||||
\(148\) | −11.7314 | + | 6.63791i | −0.964319 | + | 0.545633i | ||||
\(149\) | 3.33881 | + | 1.52478i | 0.273526 | + | 0.124915i | 0.547456 | − | 0.836835i | \(-0.315596\pi\) |
−0.273930 | + | 0.961750i | \(0.588324\pi\) | |||||||
\(150\) | −14.8590 | − | 12.8994i | −1.21323 | − | 1.05323i | ||||
\(151\) | 18.6853 | + | 2.68654i | 1.52059 | + | 0.218627i | 0.851420 | − | 0.524485i | \(-0.175742\pi\) |
0.669167 | + | 0.743112i | \(0.266651\pi\) | |||||||
\(152\) | −1.91434 | + | 1.86508i | −0.155274 | + | 0.151278i | ||||
\(153\) | 8.80308 | + | 2.58482i | 0.711687 | + | 0.208970i | ||||
\(154\) | −1.67155 | + | 5.15178i | −0.134697 | + | 0.415142i | ||||
\(155\) | −9.55208 | + | 9.81573i | −0.767242 | + | 0.788419i | ||||
\(156\) | −33.0834 | + | 2.86922i | −2.64879 | + | 0.229722i | ||||
\(157\) | −8.88949 | + | 10.2590i | −0.709459 | + | 0.818759i | −0.989998 | − | 0.141084i | \(-0.954941\pi\) |
0.280539 | + | 0.959843i | \(0.409487\pi\) | |||||||
\(158\) | 1.69289 | − | 9.80653i | 0.134679 | − | 0.780166i | ||||
\(159\) | −6.72903 | − | 14.7345i | −0.533647 | − | 1.16852i | ||||
\(160\) | −10.2438 | − | 7.42054i | −0.809844 | − | 0.586645i | ||||
\(161\) | −1.26330 | + | 3.61785i | −0.0995622 | + | 0.285126i | ||||
\(162\) | 0.454181 | − | 0.924728i | 0.0356838 | − | 0.0726535i | ||||
\(163\) | −2.18129 | − | 4.77636i | −0.170852 | − | 0.374113i | 0.804765 | − | 0.593593i | \(-0.202291\pi\) |
−0.975617 | + | 0.219480i | \(0.929564\pi\) | |||||||
\(164\) | 9.96354 | + | 7.22630i | 0.778022 | + | 0.564279i | ||||
\(165\) | 17.5463 | − | 24.1165i | 1.36597 | − | 1.87746i | ||||
\(166\) | 4.16133 | + | 6.89431i | 0.322981 | + | 0.535102i | ||||
\(167\) | 0.547813 | + | 0.632210i | 0.0423911 | + | 0.0489219i | 0.776549 | − | 0.630057i | \(-0.216968\pi\) |
−0.734158 | + | 0.678979i | \(0.762423\pi\) | |||||||
\(168\) | −5.92071 | + | 2.12083i | −0.456793 | + | 0.163625i | ||||
\(169\) | 21.6858 | + | 6.36753i | 1.66814 | + | 0.489810i | ||||
\(170\) | −1.21309 | − | 5.99462i | −0.0930398 | − | 0.459767i | ||||
\(171\) | 0.637924 | − | 4.43686i | 0.0487833 | − | 0.339295i | ||||
\(172\) | 3.42649 | + | 14.6798i | 0.261267 | + | 1.11932i | ||||
\(173\) | −6.69369 | − | 3.05691i | −0.508912 | − | 0.232412i | 0.144374 | − | 0.989523i | \(-0.453883\pi\) |
−0.653287 | + | 0.757111i | \(0.726610\pi\) | |||||||
\(174\) | 26.8653 | + | 18.3536i | 2.03665 | + | 1.39138i | ||||
\(175\) | 2.69752 | + | 2.94704i | 0.203914 | + | 0.222775i | ||||
\(176\) | 9.87309 | − | 16.4344i | 0.744212 | − | 1.23879i | ||||
\(177\) | 3.94914 | − | 0.567801i | 0.296836 | − | 0.0426785i | ||||
\(178\) | 2.21390 | + | 8.40833i | 0.165939 | + | 0.630231i | ||||
\(179\) | −0.238588 | + | 0.371250i | −0.0178329 | + | 0.0277486i | −0.850056 | − | 0.526693i | \(-0.823432\pi\) |
0.832223 | + | 0.554442i | \(0.187068\pi\) | |||||||
\(180\) | 21.2057 | − | 0.609249i | 1.58058 | − | 0.0454108i | ||||
\(181\) | 3.23322 | + | 11.0113i | 0.240323 | + | 0.818465i | 0.988007 | + | 0.154410i | \(0.0493477\pi\) |
−0.747684 | + | 0.664055i | \(0.768834\pi\) | |||||||
\(182\) | 6.73978 | + | 0.189738i | 0.499586 | + | 0.0140643i | ||||
\(183\) | − | 15.2604i | − | 1.12808i | ||||||
\(184\) | 7.24190 | − | 11.4697i | 0.533880 | − | 0.845560i | ||||
\(185\) | −15.0158 | + | 1.27960i | −1.10398 | + | 0.0940781i | ||||
\(186\) | 0.678339 | − | 24.0956i | 0.0497382 | − | 1.76678i | ||||
\(187\) | 8.89460 | − | 2.61169i | 0.650438 | − | 0.190986i | ||||
\(188\) | 18.2868 | + | 1.03044i | 1.33370 | + | 0.0751523i | ||||
\(189\) | 2.09614 | − | 3.26166i | 0.152472 | − | 0.237251i | ||||
\(190\) | −2.81463 | + | 1.00346i | −0.204195 | + | 0.0727983i | ||||
\(191\) | 0.817823 | + | 5.68808i | 0.0591756 | + | 0.411575i | 0.997781 | + | 0.0665825i | \(0.0212096\pi\) |
−0.938605 | + | 0.344993i | \(0.887881\pi\) | |||||||
\(192\) | 22.1105 | − | 2.59279i | 1.59569 | − | 0.187119i | ||||
\(193\) | 3.51481 | + | 5.46915i | 0.253001 | + | 0.393678i | 0.944402 | − | 0.328794i | \(-0.106642\pi\) |
−0.691400 | + | 0.722472i | \(0.743006\pi\) | |||||||
\(194\) | −10.7413 | − | 7.33819i | −0.771183 | − | 0.526851i | ||||
\(195\) | −34.9597 | − | 12.4999i | −2.50351 | − | 0.895138i | ||||
\(196\) | −12.3900 | + | 2.89203i | −0.885001 | + | 0.206573i | ||||
\(197\) | 7.38241 | + | 1.06143i | 0.525975 | + | 0.0756238i | 0.400187 | − | 0.916433i | \(-0.368945\pi\) |
0.125788 | + | 0.992057i | \(0.459854\pi\) | |||||||
\(198\) | 3.67858 | + | 31.9432i | 0.261425 | + | 2.27010i | ||||
\(199\) | −6.10207 | − | 1.79173i | −0.432564 | − | 0.127012i | 0.0581995 | − | 0.998305i | \(-0.481464\pi\) |
−0.490764 | + | 0.871293i | \(0.663282\pi\) | |||||||
\(200\) | −6.95304 | − | 12.3148i | −0.491655 | − | 0.870790i | ||||
\(201\) | −3.09507 | + | 2.68189i | −0.218310 | + | 0.189166i | ||||
\(202\) | 7.60735 | − | 4.59171i | 0.535252 | − | 0.323072i | ||||
\(203\) | −4.99257 | − | 4.32608i | −0.350410 | − | 0.303632i | ||||
\(204\) | 8.71366 | + | 6.31979i | 0.610078 | + | 0.442474i | ||||
\(205\) | 6.75872 | + | 11.9868i | 0.472049 | + | 0.837197i | ||||
\(206\) | 13.5205 | + | 6.64059i | 0.942015 | + | 0.462672i | ||||
\(207\) | 2.10022 | + | 22.6528i | 0.145975 | + | 1.57448i | ||||
\(208\) | −23.0927 | − | 6.02900i | −1.60119 | − | 0.418036i | ||||
\(209\) | −1.88145 | − | 4.11980i | −0.130143 | − | 0.284973i | ||||
\(210\) | −7.00548 | − | 0.603485i | −0.483424 | − | 0.0416444i | ||||
\(211\) | −1.25181 | − | 1.08470i | −0.0861780 | − | 0.0746737i | 0.610706 | − | 0.791857i | \(-0.290886\pi\) |
−0.696885 | + | 0.717183i | \(0.745431\pi\) | |||||||
\(212\) | −1.00590 | − | 11.5984i | −0.0690853 | − | 0.796584i | ||||
\(213\) | 20.5257 | − | 17.7856i | 1.40640 | − | 1.21865i | ||||
\(214\) | 1.11448 | − | 3.43487i | 0.0761842 | − | 0.234803i | ||||
\(215\) | −3.35801 | + | 16.5157i | −0.229014 | + | 1.12636i | ||||
\(216\) | −9.83014 | + | 9.57718i | −0.668857 | + | 0.651644i | ||||
\(217\) | −0.696531 | + | 4.84448i | −0.0472836 | + | 0.328865i | ||||
\(218\) | 22.5102 | − | 18.4221i | 1.52458 | − | 1.24770i | ||||
\(219\) | −8.05005 | − | 3.67633i | −0.543972 | − | 0.248424i | ||||
\(220\) | 17.6920 | − | 12.1017i | 1.19279 | − | 0.815896i | ||||
\(221\) | −6.23906 | − | 9.70816i | −0.419684 | − | 0.653041i | ||||
\(222\) | 17.9261 | − | 19.5480i | 1.20312 | − | 1.31198i | ||||
\(223\) | −1.76280 | − | 12.2605i | −0.118046 | − | 0.821027i | −0.959703 | − | 0.281015i | \(-0.909329\pi\) |
0.841657 | − | 0.540012i | \(-0.181580\pi\) | |||||||
\(224\) | −4.52005 | + | 0.00938811i | −0.302009 | + | 0.000627269i | ||||
\(225\) | 21.8353 | + | 9.26206i | 1.45568 | + | 0.617471i | ||||
\(226\) | 8.01636 | + | 18.9470i | 0.533241 | + | 1.26034i | ||||
\(227\) | −6.50492 | − | 22.1537i | −0.431746 | − | 1.47039i | −0.832406 | − | 0.554166i | \(-0.813037\pi\) |
0.400659 | − | 0.916227i | \(-0.368781\pi\) | |||||||
\(228\) | 2.45036 | − | 4.65331i | 0.162279 | − | 0.308173i | ||||
\(229\) | − | 2.08567i | − | 0.137825i | −0.997623 | − | 0.0689125i | \(-0.978047\pi\) | ||
0.997623 | − | 0.0689125i | \(-0.0219529\pi\) | |||||||
\(230\) | 12.7045 | − | 8.28219i | 0.837712 | − | 0.546112i | ||||
\(231\) | − | 10.6574i | − | 0.701205i | ||||||
\(232\) | 13.7684 | + | 18.9010i | 0.903941 | + | 1.24091i | ||||
\(233\) | 5.47980 | + | 18.6625i | 0.358994 | + | 1.22262i | 0.919042 | + | 0.394160i | \(0.128964\pi\) |
−0.560048 | + | 0.828460i | \(0.689217\pi\) | |||||||
\(234\) | 36.8643 | − | 15.5970i | 2.40989 | − | 1.01961i | ||||
\(235\) | 18.1048 | + | 9.56838i | 1.18103 | + | 0.624172i | ||||
\(236\) | 2.81085 | + | 0.567121i | 0.182971 | + | 0.0369164i | ||||
\(237\) | 2.78677 | + | 19.3824i | 0.181020 | + | 1.25902i | ||||
\(238\) | −1.61080 | − | 1.47715i | −0.104413 | − | 0.0957493i | ||||
\(239\) | 9.38347 | + | 14.6010i | 0.606966 | + | 0.944458i | 0.999692 | + | 0.0248025i | \(0.00789568\pi\) |
−0.392726 | + | 0.919655i | \(0.628468\pi\) | |||||||
\(240\) | 23.6791 | + | 7.66781i | 1.52848 | + | 0.494955i | ||||
\(241\) | −19.6948 | − | 8.99432i | −1.26865 | − | 0.579375i | −0.336585 | − | 0.941653i | \(-0.609272\pi\) |
−0.932070 | + | 0.362278i | \(0.881999\pi\) | |||||||
\(242\) | 10.7237 | + | 13.1035i | 0.689349 | + | 0.842324i | ||||
\(243\) | −2.36014 | + | 16.4151i | −0.151403 | + | 1.05303i | ||||
\(244\) | 3.67716 | − | 10.3331i | 0.235406 | − | 0.661507i | ||||
\(245\) | −13.9396 | − | 2.83423i | −0.890569 | − | 0.181072i | ||||
\(246\) | −23.0366 | − | 7.47446i | −1.46876 | − | 0.476554i | ||||
\(247\) | −4.26102 | + | 3.69220i | −0.271122 | + | 0.234929i | ||||
\(248\) | 6.26541 | − | 16.1521i | 0.397854 | − | 1.02566i | ||||
\(249\) | −11.9753 | − | 10.3766i | −0.758902 | − | 0.657592i | ||||
\(250\) | −1.32803 | − | 15.7555i | −0.0839918 | − | 0.996466i | ||||
\(251\) | −5.41504 | − | 11.8573i | −0.341794 | − | 0.748425i | 0.658196 | − | 0.752847i | \(-0.271320\pi\) |
−0.999990 | + | 0.00442159i | \(0.998593\pi\) | |||||||
\(252\) | 5.99941 | − | 4.63419i | 0.377927 | − | 0.291927i | ||||
\(253\) | 14.1595 | + | 18.1076i | 0.890202 | + | 1.13841i | ||||
\(254\) | −8.13191 | + | 16.5568i | −0.510241 | + | 1.03887i | ||||
\(255\) | 5.91086 | + | 10.4831i | 0.370153 | + | 0.656479i | ||||
\(256\) | 15.5961 | + | 3.57214i | 0.974759 | + | 0.223259i | ||||
\(257\) | −6.51866 | − | 5.64845i | −0.406623 | − | 0.352341i | 0.427408 | − | 0.904059i | \(-0.359427\pi\) |
−0.834031 | + | 0.551718i | \(0.813972\pi\) | |||||||
\(258\) | −15.3278 | − | 25.3945i | −0.954269 | − | 1.58099i | ||||
\(259\) | −4.06988 | + | 3.52657i | −0.252890 | + | 0.219130i | ||||
\(260\) | −20.6598 | − | 16.8878i | −1.28127 | − | 1.04734i | ||||
\(261\) | −37.6300 | − | 11.0492i | −2.32924 | − | 0.683926i | ||||
\(262\) | 2.87549 | − | 0.331142i | 0.177649 | − | 0.0204580i | ||||
\(263\) | 3.65567 | + | 0.525606i | 0.225418 | + | 0.0324103i | 0.254098 | − | 0.967178i | \(-0.418221\pi\) |
−0.0286800 | + | 0.999589i | \(0.509130\pi\) | |||||||
\(264\) | −8.49874 | + | 36.7550i | −0.523061 | + | 2.26211i | ||||
\(265\) | 4.38225 | − | 12.2562i | 0.269199 | − | 0.752894i | ||||
\(266\) | −0.602343 | + | 0.881684i | −0.0369320 | + | 0.0540595i | ||||
\(267\) | −9.24980 | − | 14.3930i | −0.566079 | − | 0.880836i | ||||
\(268\) | −2.74196 | + | 1.07017i | −0.167492 | + | 0.0653708i | ||||
\(269\) | −1.46949 | − | 10.2205i | −0.0895962 | − | 0.623156i | −0.984301 | − | 0.176498i | \(-0.943523\pi\) |
0.894705 | − | 0.446658i | \(-0.147386\pi\) | |||||||
\(270\) | −14.4531 | + | 5.15274i | −0.879587 | + | 0.313586i | ||||
\(271\) | 3.60874 | − | 5.61531i | 0.219216 | − | 0.341106i | −0.714176 | − | 0.699967i | \(-0.753198\pi\) |
0.933391 | + | 0.358860i | \(0.116835\pi\) | |||||||
\(272\) | 4.37734 | + | 6.37889i | 0.265415 | + | 0.386777i | ||||
\(273\) | −12.7297 | + | 3.73778i | −0.770437 | + | 0.226221i | ||||
\(274\) | −10.0071 | − | 0.281721i | −0.604553 | − | 0.0170194i | ||||
\(275\) | 23.6195 | − | 4.05501i | 1.42431 | − | 0.244526i | ||||
\(276\) | −6.58900 | + | 25.8651i | −0.396611 | + | 1.55690i | ||||
\(277\) | − | 30.6300i | − | 1.84038i | −0.391474 | − | 0.920189i | \(-0.628035\pi\) | ||
0.391474 | − | 0.920189i | \(-0.371965\pi\) | |||||||
\(278\) | −0.436143 | + | 15.4925i | −0.0261581 | + | 0.929175i | ||||
\(279\) | 8.18604 | + | 27.8791i | 0.490086 | + | 1.66908i | ||||
\(280\) | −4.59812 | − | 2.09668i | −0.274790 | − | 0.125300i | ||||
\(281\) | −1.96377 | + | 3.05568i | −0.117148 | + | 0.182287i | −0.894876 | − | 0.446315i | \(-0.852736\pi\) |
0.777727 | + | 0.628602i | \(0.216372\pi\) | |||||||
\(282\) | −34.8522 | + | 9.17652i | −2.07542 | + | 0.546454i | ||||
\(283\) | 23.9400 | − | 3.44205i | 1.42308 | − | 0.204609i | 0.612611 | − | 0.790384i | \(-0.290119\pi\) |
0.810473 | + | 0.585776i | \(0.199210\pi\) | |||||||
\(284\) | 18.1839 | − | 7.09705i | 1.07902 | − | 0.421132i | ||||
\(285\) | 4.65862 | − | 3.58737i | 0.275953 | − | 0.212497i | ||||
\(286\) | 22.8146 | − | 33.3950i | 1.34905 | − | 1.97469i | ||||
\(287\) | 4.47301 | + | 2.04275i | 0.264033 | + | 0.120580i | ||||
\(288\) | −24.3862 | + | 11.1981i | −1.43697 | + | 0.659852i | ||||
\(289\) | 1.88699 | − | 13.1243i | 0.111000 | − | 0.772019i | ||||
\(290\) | 5.18553 | + | 25.6249i | 0.304505 | + | 1.50474i | ||||
\(291\) | 24.5603 | + | 7.21155i | 1.43975 | + | 0.422748i | ||||
\(292\) | −4.56497 | − | 4.42906i | −0.267145 | − | 0.259191i | ||||
\(293\) | 8.98670 | + | 10.3712i | 0.525009 | + | 0.605892i | 0.954878 | − | 0.296999i | \(-0.0959858\pi\) |
−0.429869 | + | 0.902891i | \(0.641440\pi\) | |||||||
\(294\) | 21.4335 | − | 12.9370i | 1.25003 | − | 0.754501i | ||||
\(295\) | 2.59241 | + | 1.88614i | 0.150936 | + | 0.109815i | ||||
\(296\) | 16.8484 | − | 8.91683i | 0.979291 | − | 0.518280i | ||||
\(297\) | −9.66123 | − | 21.1551i | −0.560602 | − | 1.22755i | ||||
\(298\) | −4.65923 | − | 2.28839i | −0.269902 | − | 0.132563i | ||||
\(299\) | 16.6625 | − | 23.2635i | 0.963617 | − | 1.34536i | ||||
\(300\) | 20.4921 | + | 18.8266i | 1.18311 | + | 1.08695i | ||||
\(301\) | 2.50185 | + | 5.47828i | 0.144204 | + | 0.315763i | ||||
\(302\) | −26.3076 | − | 4.54145i | −1.51383 | − | 0.261331i | ||||
\(303\) | −11.4498 | + | 13.2138i | −0.657776 | + | 0.759114i | ||||
\(304\) | 2.78045 | − | 2.56039i | 0.159469 | − | 0.146849i | ||||
\(305\) | 8.55202 | − | 8.78806i | 0.489687 | − | 0.503203i | ||||
\(306\) | −12.3416 | − | 4.00438i | −0.705525 | − | 0.228915i | ||||
\(307\) | 16.9262 | + | 4.96999i | 0.966032 | + | 0.283653i | 0.726447 | − | 0.687223i | \(-0.241170\pi\) |
0.239585 | + | 0.970875i | \(0.422989\pi\) | |||||||
\(308\) | 2.56802 | − | 7.21631i | 0.146326 | − | 0.411187i | ||||
\(309\) | −29.3382 | − | 4.21820i | −1.66899 | − | 0.239965i | ||||
\(310\) | 13.8940 | − | 13.4959i | 0.789125 | − | 0.766516i | ||||
\(311\) | −0.377622 | − | 0.172454i | −0.0214130 | − | 0.00977899i | 0.404680 | − | 0.914458i | \(-0.367383\pi\) |
−0.426093 | + | 0.904679i | \(0.640110\pi\) | |||||||
\(312\) | 46.8826 | − | 2.73946i | 2.65421 | − | 0.155092i | ||||
\(313\) | 1.04181 | − | 0.669534i | 0.0588868 | − | 0.0378443i | −0.510866 | − | 0.859660i | \(-0.670675\pi\) |
0.569753 | + | 0.821816i | \(0.307039\pi\) | |||||||
\(314\) | 12.9749 | − | 14.1489i | 0.732218 | − | 0.798470i | ||||
\(315\) | 8.25662 | − | 1.91418i | 0.465208 | − | 0.107852i | ||||
\(316\) | −2.78343 | + | 13.7957i | −0.156580 | + | 0.776067i | ||||
\(317\) | 11.1420 | − | 17.3373i | 0.625798 | − | 0.973761i | −0.373144 | − | 0.927773i | \(-0.621720\pi\) |
0.998942 | − | 0.0459872i | \(-0.0146433\pi\) | |||||||
\(318\) | 8.92613 | + | 21.0973i | 0.500552 | + | 1.18308i | ||||
\(319\) | −38.0212 | + | 11.1640i | −2.12878 | + | 0.625066i | ||||
\(320\) | 14.1859 | + | 10.8977i | 0.793015 | + | 0.609202i | ||||
\(321\) | 7.10565i | 0.396599i | ||||||||
\(322\) | 1.92985 | − | 5.06411i | 0.107546 | − | 0.282212i | ||||
\(323\) | 1.82759 | 0.101690 | ||||||||
\(324\) | −0.678856 | + | 1.28917i | −0.0377142 | + | 0.0716205i | ||||
\(325\) | −13.1273 | − | 26.7900i | −0.728174 | − | 1.48604i | ||||
\(326\) | 2.89350 | + | 6.83893i | 0.160256 | + | 0.378773i | ||||
\(327\) | −30.9438 | + | 48.1496i | −1.71120 | + | 2.66268i | ||||
\(328\) | −13.7974 | − | 10.6120i | −0.761835 | − | 0.585950i | ||||
\(329\) | 7.24307 | − | 1.04140i | 0.399324 | − | 0.0574141i | ||||
\(330\) | −25.7641 | + | 33.3940i | −1.41827 | + | 1.83828i | ||||
\(331\) | −5.70091 | − | 8.87079i | −0.313351 | − | 0.487583i | 0.648479 | − | 0.761233i | \(-0.275405\pi\) |
−0.961829 | + | 0.273650i | \(0.911769\pi\) | |||||||
\(332\) | −5.60830 | − | 9.91177i | −0.307795 | − | 0.543979i | ||||
\(333\) | −13.2810 | + | 29.0814i | −0.727797 | + | 1.59365i | ||||
\(334\) | −0.749258 | − | 0.915528i | −0.0409976 | − | 0.0500954i | ||||
\(335\) | −3.28533 | − | 0.190064i | −0.179496 | − | 0.0103843i | ||||
\(336\) | 8.45424 | − | 2.76249i | 0.461217 | − | 0.150706i | ||||
\(337\) | −15.3029 | − | 4.49335i | −0.833604 | − | 0.244768i | −0.163039 | − | 0.986620i | \(-0.552130\pi\) |
−0.670564 | + | 0.741851i | \(0.733948\pi\) | |||||||
\(338\) | −30.4028 | − | 9.86451i | −1.65369 | − | 0.536559i | ||||
\(339\) | −26.5099 | − | 30.5940i | −1.43982 | − | 1.66164i | ||||
\(340\) | 1.47632 | + | 8.52260i | 0.0800648 | + | 0.462203i | ||||
\(341\) | 22.1874 | + | 19.2255i | 1.20152 | + | 1.04112i | ||||
\(342\) | −1.07838 | + | 6.24680i | −0.0583120 | + | 0.337788i | ||||
\(343\) | −9.71162 | + | 4.43515i | −0.524378 | + | 0.239475i | ||||
\(344\) | −4.25966 | − | 20.8885i | −0.229665 | − | 1.12623i | ||||
\(345\) | −18.7488 | + | 23.2165i | −1.00940 | + | 1.24993i | ||||
\(346\) | 9.34091 | + | 4.58780i | 0.502170 | + | 0.246642i | ||||
\(347\) | −10.1345 | − | 22.1914i | −0.544048 | − | 1.19130i | −0.959506 | − | 0.281687i | \(-0.909106\pi\) |
0.415459 | − | 0.909612i | \(-0.363621\pi\) | |||||||
\(348\) | −37.2477 | − | 27.0148i | −1.99669 | − | 1.44815i | ||||
\(349\) | −21.7064 | + | 25.0505i | −1.16192 | + | 1.34092i | −0.232189 | + | 0.972671i | \(0.574589\pi\) |
−0.929726 | + | 0.368252i | \(0.879957\pi\) | |||||||
\(350\) | −3.69608 | − | 4.27345i | −0.197564 | − | 0.228426i | ||||
\(351\) | −21.8803 | + | 18.9594i | −1.16788 | + | 1.01198i | ||||
\(352\) | −14.6112 | + | 22.8396i | −0.778778 | + | 1.21735i | ||||
\(353\) | −5.11898 | + | 17.4336i | −0.272456 | + | 0.927899i | 0.703640 | + | 0.710557i | \(0.251557\pi\) |
−0.976095 | + | 0.217342i | \(0.930261\pi\) | |||||||
\(354\) | −5.60531 | + | 0.645509i | −0.297919 | + | 0.0343084i | ||||
\(355\) | 21.7874 | + | 1.26045i | 1.15635 | + | 0.0668978i | ||||
\(356\) | −2.79506 | − | 11.9746i | −0.148138 | − | 0.634651i | ||||
\(357\) | 3.91189 | + | 1.78650i | 0.207039 | + | 0.0945515i | ||||
\(358\) | 0.352056 | − | 0.515324i | 0.0186067 | − | 0.0272357i | ||||
\(359\) | −9.86059 | + | 6.33702i | −0.520422 | + | 0.334455i | −0.774339 | − | 0.632771i | \(-0.781917\pi\) |
0.253917 | + | 0.967226i | \(0.418281\pi\) | |||||||
\(360\) | −30.0017 | + | 0.0173431i | −1.58123 | + | 0.000914061i | ||||
\(361\) | 2.57691 | + | 17.9228i | 0.135627 | + | 0.943305i | ||||
\(362\) | −4.13243 | − | 15.6949i | −0.217196 | − | 0.824904i | ||||
\(363\) | −28.0285 | − | 18.0128i | −1.47111 | − | 0.945428i | ||||
\(364\) | −9.52016 | − | 0.536448i | −0.498992 | − | 0.0281175i | ||||
\(365\) | −2.57558 | − | 6.62841i | −0.134812 | − | 0.346947i | ||||
\(366\) | −0.607319 | + | 21.5729i | −0.0317451 | + | 1.12763i | ||||
\(367\) | − | 24.9756i | − | 1.30372i | −0.758341 | − | 0.651859i | \(-0.773990\pi\) | ||
0.758341 | − | 0.651859i | \(-0.226010\pi\) | |||||||
\(368\) | −10.6940 | + | 15.9260i | −0.557464 | + | 0.830201i | ||||
\(369\) | 29.1931 | 1.51973 | ||||||||
\(370\) | 21.2780 | − | 1.21133i | 1.10619 | − | 0.0629739i | ||||
\(371\) | −1.31040 | − | 4.46280i | −0.0680324 | − | 0.231697i | ||||
\(372\) | −1.91787 | + | 34.0358i | −0.0994370 | + | 1.76468i | ||||
\(373\) | −30.5643 | − | 19.6425i | −1.58256 | − | 1.01705i | −0.974843 | − | 0.222895i | \(-0.928449\pi\) |
−0.607716 | − | 0.794154i | \(-0.707914\pi\) | |||||||
\(374\) | −12.6778 | + | 3.33805i | −0.655555 | + | 0.172606i | ||||
\(375\) | 12.0535 | + | 28.6823i | 0.622442 | + | 1.48115i | ||||
\(376\) | −25.8102 | − | 2.18444i | −1.33106 | − | 0.112654i | ||||
\(377\) | 26.6697 | + | 41.4989i | 1.37356 | + | 2.13730i | ||||
\(378\) | −3.09302 | + | 4.52744i | −0.159088 | + | 0.232866i | ||||
\(379\) | −7.40996 | + | 16.2256i | −0.380624 | + | 0.833451i | 0.618248 | + | 0.785983i | \(0.287843\pi\) |
−0.998873 | + | 0.0474682i | \(0.984885\pi\) | |||||||
\(380\) | 4.01884 | − | 1.30652i | 0.206162 | − | 0.0670233i | ||||
\(381\) | 5.16550 | − | 35.9269i | 0.264637 | − | 1.84059i | ||||
\(382\) | −0.929749 | − | 8.07353i | −0.0475701 | − | 0.413078i | ||||
\(383\) | 6.83604 | − | 23.2814i | 0.349305 | − | 1.18962i | −0.578225 | − | 0.815877i | \(-0.696255\pi\) |
0.927531 | − | 0.373747i | \(-0.121927\pi\) | |||||||
\(384\) | −31.3597 | + | 2.78537i | −1.60032 | + | 0.142141i | ||||
\(385\) | 5.97248 | − | 6.13733i | 0.304386 | − | 0.312787i | ||||
\(386\) | −4.75106 | − | 7.87136i | −0.241823 | − | 0.400641i | ||||
\(387\) | 27.0211 | + | 23.4139i | 1.37356 | + | 1.19020i | ||||
\(388\) | 14.8925 | + | 10.8011i | 0.756051 | + | 0.548344i | ||||
\(389\) | 9.14350 | − | 4.17570i | 0.463594 | − | 0.211716i | −0.169904 | − | 0.985461i | \(-0.554346\pi\) |
0.633498 | + | 0.773744i | \(0.281618\pi\) | |||||||
\(390\) | 48.9234 | + | 19.0619i | 2.47733 | + | 0.965235i | ||||
\(391\) | −9.02009 | + | 2.16200i | −0.456166 | + | 0.109337i | ||||
\(392\) | 17.6303 | − | 3.59524i | 0.890464 | − | 0.181587i | ||||
\(393\) | −5.18081 | + | 2.36600i | −0.261337 | + | 0.119349i | ||||
\(394\) | −10.3939 | − | 1.79429i | −0.523639 | − | 0.0903952i | ||||
\(395\) | −9.25720 | + | 12.7236i | −0.465780 | + | 0.640192i | ||||
\(396\) | −3.92899 | − | 45.3030i | −0.197439 | − | 2.27656i | ||||
\(397\) | 11.0488 | − | 9.57388i | 0.554526 | − | 0.480499i | −0.331936 | − | 0.943302i | \(-0.607702\pi\) |
0.886461 | + | 0.462803i | \(0.153156\pi\) | |||||||
\(398\) | 8.55491 | + | 2.77573i | 0.428819 | + | 0.139135i | ||||
\(399\) | 0.591948 | − | 2.01599i | 0.0296345 | − | 0.100926i | ||||
\(400\) | 9.33910 | + | 17.6856i | 0.466955 | + | 0.884281i | ||||
\(401\) | −16.5596 | − | 2.38091i | −0.826947 | − | 0.118897i | −0.284170 | − | 0.958774i | \(-0.591718\pi\) |
−0.542777 | + | 0.839877i | \(0.682627\pi\) | |||||||
\(402\) | 4.48209 | − | 3.66810i | 0.223546 | − | 0.182948i | ||||
\(403\) | 15.1822 | − | 33.2445i | 0.756282 | − | 1.65603i | ||||
\(404\) | −10.9369 | + | 6.18834i | −0.544131 | + | 0.307881i | ||||
\(405\) | −1.29064 | + | 0.993858i | −0.0641324 | + | 0.0493852i | ||||
\(406\) | 6.88560 | + | 6.31427i | 0.341726 | + | 0.313372i | ||||
\(407\) | 4.59718 | + | 31.9741i | 0.227874 | + | 1.58490i | ||||
\(408\) | −12.0666 | − | 9.28077i | −0.597385 | − | 0.459467i | ||||
\(409\) | 7.54395 | + | 4.84820i | 0.373024 | + | 0.239728i | 0.713698 | − | 0.700453i | \(-0.247019\pi\) |
−0.340674 | + | 0.940182i | \(0.610655\pi\) | |||||||
\(410\) | −9.07744 | − | 17.2142i | −0.448303 | − | 0.850149i | ||||
\(411\) | 18.9009 | − | 5.54981i | 0.932313 | − | 0.273752i | ||||
\(412\) | −18.8490 | − | 9.92557i | −0.928622 | − | 0.488998i | ||||
\(413\) | 1.14562 | 0.0563724 | ||||||||
\(414\) | −2.06747 | − | 32.1068i | −0.101610 | − | 1.57796i | ||||
\(415\) | −1.08112 | − | 12.6867i | −0.0530701 | − | 0.622764i | ||||
\(416\) | 32.4051 | + | 9.44194i | 1.58879 | + | 0.462929i | ||||
\(417\) | −8.59188 | − | 29.2612i | −0.420746 | − | 1.43293i | ||||
\(418\) | 2.49576 | + | 5.89885i | 0.122072 | + | 0.288522i | ||||
\(419\) | −26.4154 | − | 16.9762i | −1.29048 | − | 0.829340i | −0.298336 | − | 0.954461i | \(-0.596432\pi\) |
−0.992141 | + | 0.125121i | \(0.960068\pi\) | |||||||
\(420\) | 9.87931 | + | 1.13192i | 0.482061 | + | 0.0552319i | ||||
\(421\) | 30.1781 | − | 4.33895i | 1.47079 | − | 0.211468i | 0.640138 | − | 0.768260i | \(-0.278877\pi\) |
0.830652 | + | 0.556793i | \(0.187968\pi\) | |||||||
\(422\) | 1.72646 | + | 1.58321i | 0.0840425 | + | 0.0770692i | ||||
\(423\) | 36.5460 | − | 23.4867i | 1.77693 | − | 1.14196i | ||||
\(424\) | 0.960407 | + | 16.4362i | 0.0466415 | + | 0.798212i | ||||
\(425\) | −2.47090 | + | 9.34946i | −0.119856 | + | 0.453515i | ||||
\(426\) | −29.7240 | + | 24.3258i | −1.44013 | + | 1.17859i | ||||
\(427\) | 0.623607 | − | 4.33728i | 0.0301785 | − | 0.209896i | ||||
\(428\) | −1.71218 | + | 4.81136i | −0.0827616 | + | 0.232566i | ||||
\(429\) | −22.4208 | + | 76.3583i | −1.08249 | + | 3.68662i | ||||
\(430\) | 5.40434 | − | 23.2139i | 0.260620 | − | 1.11947i | ||||
\(431\) | 11.3680 | + | 13.1194i | 0.547577 | + | 0.631937i | 0.960317 | − | 0.278912i | \(-0.0899737\pi\) |
−0.412740 | + | 0.910849i | \(0.635428\pi\) | |||||||
\(432\) | 14.2776 | − | 13.1476i | 0.686929 | − | 0.632564i | ||||
\(433\) | 1.16440 | − | 1.34379i | 0.0559574 | − | 0.0645783i | −0.727081 | − | 0.686552i | \(-0.759123\pi\) |
0.783038 | + | 0.621974i | \(0.213669\pi\) | |||||||
\(434\) | 1.17745 | − | 6.82070i | 0.0565194 | − | 0.327404i | ||||
\(435\) | −25.2668 | − | 44.8116i | −1.21145 | − | 2.14855i | ||||
\(436\) | −32.5548 | + | 25.1466i | −1.55909 | + | 1.20431i | ||||
\(437\) | 1.67271 | + | 4.21176i | 0.0800164 | + | 0.201476i | ||||
\(438\) | 11.2337 | + | 5.51743i | 0.536766 | + | 0.263633i | ||||
\(439\) | 17.8789 | − | 8.16504i | 0.853316 | − | 0.389696i | 0.0597739 | − | 0.998212i | \(-0.480962\pi\) |
0.793542 | + | 0.608516i | \(0.208235\pi\) | |||||||
\(440\) | −25.4920 | + | 16.4035i | −1.21528 | + | 0.782007i | ||||
\(441\) | −19.7618 | + | 22.8063i | −0.941039 | + | 1.08602i | ||||
\(442\) | 8.43351 | + | 13.9723i | 0.401141 | + | 0.664593i | ||||
\(443\) | 16.1359 | + | 18.6218i | 0.766638 | + | 0.884748i | 0.996069 | − | 0.0885771i | \(-0.0282320\pi\) |
−0.229431 | + | 0.973325i | \(0.573687\pi\) | |||||||
\(444\) | −26.1192 | + | 26.9208i | −1.23956 | + | 1.27760i | ||||
\(445\) | 2.73919 | − | 13.4722i | 0.129850 | − | 0.638643i | ||||
\(446\) | 2.00405 | + | 17.4023i | 0.0948947 | + | 0.824024i | ||||
\(447\) | 10.1101 | + | 1.45362i | 0.478192 | + | 0.0687537i | ||||
\(448\) | 6.39016 | + | 0.166614i | 0.301907 | + | 0.00787175i | ||||
\(449\) | 7.54386 | − | 16.5188i | 0.356017 | − | 0.779568i | −0.643879 | − | 0.765128i | \(-0.722676\pi\) |
0.999896 | − | 0.0144409i | \(-0.00459683\pi\) | |||||||
\(450\) | −30.4989 | − | 13.9623i | −1.43773 | − | 0.658191i | ||||
\(451\) | 24.8141 | − | 15.9471i | 1.16845 | − | 0.750918i | ||||
\(452\) | −10.5783 | − | 27.1036i | −0.497562 | − | 1.27484i | ||||
\(453\) | 51.9964 | − | 7.47596i | 2.44301 | − | 0.351251i | ||||
\(454\) | 8.31404 | + | 31.5765i | 0.390197 | + | 1.48196i | ||||
\(455\) | −9.42539 | − | 4.98132i | −0.441869 | − | 0.233528i | ||||
\(456\) | −3.64915 | + | 6.48065i | −0.170887 | + | 0.303484i | ||||
\(457\) | −3.40007 | + | 0.998352i | −0.159049 | + | 0.0467009i | −0.360288 | − | 0.932841i | \(-0.617321\pi\) |
0.201239 | + | 0.979542i | \(0.435503\pi\) | |||||||
\(458\) | −0.0830037 | + | 2.94841i | −0.00387851 | + | 0.137770i | ||||
\(459\) | 9.38468 | 0.438039 | ||||||||
\(460\) | −18.2894 | + | 11.2025i | −0.852749 | + | 0.522321i | ||||
\(461\) | 17.6569 | 0.822364 | 0.411182 | − | 0.911553i | \(-0.365116\pi\) | ||||
0.411182 | + | 0.911553i | \(0.365116\pi\) | |||||||
\(462\) | −0.424134 | + | 15.0659i | −0.0197325 | + | 0.700928i | ||||
\(463\) | 34.0670 | − | 10.0030i | 1.58323 | − | 0.464877i | 0.632410 | − | 0.774634i | \(-0.282066\pi\) |
0.950816 | + | 0.309757i | \(0.100248\pi\) | |||||||
\(464\) | −18.7116 | − | 27.2674i | −0.868663 | − | 1.26586i | ||||
\(465\) | −17.8089 | + | 33.6970i | −0.825867 | + | 1.56266i | ||||
\(466\) | −7.00383 | − | 26.6004i | −0.324446 | − | 1.23224i | ||||
\(467\) | −14.5349 | + | 2.08981i | −0.672596 | + | 0.0967047i | −0.470147 | − | 0.882588i | \(-0.655799\pi\) |
−0.202449 | + | 0.979293i | \(0.564890\pi\) | |||||||
\(468\) | −52.7340 | + | 20.5817i | −2.43763 | + | 0.951389i | ||||
\(469\) | −0.989271 | + | 0.635766i | −0.0456803 | + | 0.0293569i | ||||
\(470\) | −25.2131 | − | 14.2469i | −1.16299 | − | 0.657160i | ||||
\(471\) | −15.6922 | + | 34.3612i | −0.723059 | + | 1.58328i | ||||
\(472\) | −3.95100 | − | 0.913576i | −0.181859 | − | 0.0420508i | ||||
\(473\) | 35.7580 | + | 5.14123i | 1.64415 | + | 0.236394i | ||||
\(474\) | −3.16816 | − | 27.5109i | −0.145519 | − | 1.26362i | ||||
\(475\) | 4.69316 | + | 0.544845i | 0.215337 | + | 0.0249992i | ||||
\(476\) | 2.21833 | + | 2.15228i | 0.101677 | + | 0.0986496i | ||||
\(477\) | −18.0826 | − | 20.8685i | −0.827946 | − | 0.955501i | ||||
\(478\) | −12.6839 | − | 21.0141i | −0.580148 | − | 0.961164i | ||||
\(479\) | 2.37996 | − | 2.74662i | 0.108743 | − | 0.125496i | −0.698769 | − | 0.715348i | \(-0.746268\pi\) |
0.807512 | + | 0.589852i | \(0.200814\pi\) | |||||||
\(480\) | −33.1689 | − | 11.7820i | −1.51395 | − | 0.537771i | ||||
\(481\) | 36.5791 | − | 16.7051i | 1.66786 | − | 0.761687i | ||||
\(482\) | 27.4837 | + | 13.4987i | 1.25185 | + | 0.614847i | ||||
\(483\) | −0.536694 | + | 10.6502i | −0.0244204 | + | 0.484600i | ||||
\(484\) | −14.6382 | − | 18.9506i | −0.665372 | − | 0.861389i | ||||
\(485\) | 10.1022 | + | 17.9167i | 0.458719 | + | 0.813555i | ||||
\(486\) | 3.98970 | − | 23.1114i | 0.180976 | − | 1.04835i | ||||
\(487\) | 17.5169 | − | 20.2156i | 0.793766 | − | 0.916055i | −0.204256 | − | 0.978917i | \(-0.565478\pi\) |
0.998022 | + | 0.0628629i | \(0.0200231\pi\) | |||||||
\(488\) | −5.60945 | + | 14.4610i | −0.253928 | + | 0.654620i | ||||
\(489\) | −9.56873 | − | 11.0429i | −0.432713 | − | 0.499377i | ||||
\(490\) | 19.5930 | + | 4.56137i | 0.885121 | + | 0.206062i | ||||
\(491\) | −2.21726 | + | 7.55128i | −0.100063 | + | 0.340784i | −0.994274 | − | 0.106862i | \(-0.965920\pi\) |
0.894210 | + | 0.447647i | \(0.147738\pi\) | |||||||
\(492\) | 32.2683 | + | 11.4831i | 1.45477 | + | 0.517698i | ||||
\(493\) | 2.27564 | − | 15.8274i | 0.102490 | − | 0.712831i | ||||
\(494\) | 6.17055 | − | 5.04991i | 0.277626 | − | 0.227206i | ||||
\(495\) | 17.1169 | − | 47.8723i | 0.769346 | − | 2.15170i | ||||
\(496\) | −9.49993 | + | 22.5841i | −0.426559 | + | 1.01406i | ||||
\(497\) | 6.56058 | − | 4.21623i | 0.294282 | − | 0.189124i | ||||
\(498\) | 16.5159 | + | 15.1455i | 0.740096 | + | 0.678688i | ||||
\(499\) | 22.2280 | − | 3.19591i | 0.995064 | − | 0.143069i | 0.374502 | − | 0.927226i | \(-0.377814\pi\) |
0.620562 | + | 0.784158i | \(0.286905\pi\) | |||||||
\(500\) | 1.25034 | + | 22.3257i | 0.0559171 | + | 0.998435i | ||||
\(501\) | 1.95832 | + | 1.25854i | 0.0874915 | + | 0.0562273i | ||||
\(502\) | 7.18310 | + | 16.9776i | 0.320598 | + | 0.757747i | ||||
\(503\) | 4.71175 | + | 16.0467i | 0.210086 | + | 0.715489i | 0.995350 | + | 0.0963268i | \(0.0307094\pi\) |
−0.785263 | + | 0.619162i | \(0.787472\pi\) | |||||||
\(504\) | −8.66552 | + | 6.31238i | −0.385993 | + | 0.281176i | ||||
\(505\) | −13.9988 | + | 1.19294i | −0.622938 | + | 0.0530849i | ||||
\(506\) | −19.2960 | − | 26.1613i | −0.857813 | − | 1.16301i | ||||
\(507\) | 62.8938 | 2.79321 | ||||||||
\(508\) | 12.1546 | − | 23.0820i | 0.539274 | − | 1.02410i | ||||
\(509\) | 18.1281 | − | 5.32289i | 0.803514 | − | 0.235933i | 0.145911 | − | 0.989298i | \(-0.453389\pi\) |
0.657603 | + | 0.753365i | \(0.271570\pi\) | |||||||
\(510\) | −7.93871 | − | 15.0548i | −0.351532 | − | 0.666636i | ||||
\(511\) | −2.13774 | − | 1.37384i | −0.0945682 | − | 0.0607753i | ||||
\(512\) | −21.9054 | − | 5.67045i | −0.968091 | − | 0.250601i | ||||
\(513\) | −0.652523 | − | 4.53839i | −0.0288096 | − | 0.200375i | ||||
\(514\) | 8.99034 | + | 8.24438i | 0.396547 | + | 0.363644i | ||||
\(515\) | −14.5312 | − | 18.8705i | −0.640322 | − | 0.831532i | ||||
\(516\) | 20.6576 | + | 36.5090i | 0.909401 | + | 1.60722i | ||||
\(517\) | 18.2342 | − | 39.9273i | 0.801939 | − | 1.75600i | ||||
\(518\) | 5.89375 | − | 4.82338i | 0.258956 | − | 0.211927i | ||||
\(519\) | −20.2689 | − | 2.91423i | −0.889707 | − | 0.127921i | ||||
\(520\) | 28.5337 | + | 24.6957i | 1.25129 | + | 1.08298i | ||||
\(521\) | −1.60215 | + | 5.45643i | −0.0701916 | + | 0.239050i | −0.987115 | − | 0.160013i | \(-0.948846\pi\) |
0.916923 | + | 0.399063i | \(0.130665\pi\) | |||||||
\(522\) | 52.7561 | + | 17.1173i | 2.30907 | + | 0.749202i | ||||
\(523\) | −30.9523 | + | 26.8203i | −1.35345 | + | 1.17277i | −0.385187 | + | 0.922839i | \(0.625863\pi\) |
−0.968263 | + | 0.249932i | \(0.919592\pi\) | |||||||
\(524\) | −4.07813 | + | 0.353684i | −0.178154 | + | 0.0154508i | ||||
\(525\) | 9.51292 | + | 5.75385i | 0.415178 | + | 0.251119i | ||||
\(526\) | −5.14694 | − | 0.888511i | −0.224417 | − | 0.0387409i | ||||
\(527\) | −10.7761 | + | 4.92130i | −0.469416 | + | 0.214375i | ||||
\(528\) | 13.4770 | − | 51.6206i | 0.586512 | − | 2.24650i | ||||
\(529\) | −13.2380 | − | 18.8084i | −0.575567 | − | 0.817754i | ||||
\(530\) | −6.68274 | + | 17.1517i | −0.290280 | + | 0.745021i | ||||
\(531\) | 6.18662 | − | 2.82534i | 0.268477 | − | 0.122609i | ||||
\(532\) | 0.886592 | − | 1.22242i | 0.0384387 | − | 0.0529988i | ||||
\(533\) | −27.7508 | − | 24.0462i | −1.20202 | − | 1.04156i | ||||
\(534\) | 12.5032 | + | 20.7148i | 0.541067 | + | 0.896417i | ||||
\(535\) | −3.98206 | + | 4.09196i | −0.172159 | + | 0.176911i | ||||
\(536\) | 3.91877 | − | 1.40372i | 0.169265 | − | 0.0606315i | ||||
\(537\) | −0.345980 | + | 1.17830i | −0.0149301 | + | 0.0508474i | ||||
\(538\) | 1.67060 | + | 14.5067i | 0.0720247 | + | 0.625430i | ||||
\(539\) | −4.33930 | + | 30.1805i | −0.186907 | + | 1.29997i | ||||
\(540\) | 20.6367 | − | 6.70899i | 0.888063 | − | 0.288709i | ||||
\(541\) | −7.94115 | + | 17.3887i | −0.341417 | + | 0.747599i | −0.999988 | − | 0.00491984i | \(-0.998434\pi\) |
0.658571 | + | 0.752519i | \(0.271161\pi\) | |||||||
\(542\) | −5.32499 | + | 7.79449i | −0.228728 | + | 0.334802i | ||||
\(543\) | 17.2655 | + | 26.8657i | 0.740936 | + | 1.15292i | ||||
\(544\) | −5.93419 | − | 9.19174i | −0.254426 | − | 0.394093i | ||||
\(545\) | −44.8031 | + | 10.3870i | −1.91915 | + | 0.444929i | ||||
\(546\) | 18.1441 | − | 4.77732i | 0.776498 | − | 0.204450i | ||||
\(547\) | 29.0605 | + | 18.6760i | 1.24254 | + | 0.798530i | 0.985795 | − | 0.167951i | \(-0.0537149\pi\) |
0.256741 | + | 0.966480i | \(0.417351\pi\) | |||||||
\(548\) | 14.1354 | + | 0.796511i | 0.603835 | + | 0.0340253i | ||||
\(549\) | −7.32900 | − | 24.9603i | −0.312794 | − | 1.06528i | ||||
\(550\) | −33.5511 | + | 4.79239i | −1.43062 | + | 0.204348i | ||||
\(551\) | −7.81231 | −0.332815 | ||||||||
\(552\) | 10.3439 | − | 36.3021i | 0.440266 | − | 1.54512i | ||||
\(553\) | 5.62272i | 0.239102i | ||||||||
\(554\) | −1.21899 | + | 43.3002i | −0.0517898 | + | 1.83965i | ||||
\(555\) | −39.0893 | + | 15.1888i | −1.65925 | + | 0.644728i | ||||
\(556\) | 1.23311 | − | 21.8836i | 0.0522955 | − | 0.928071i | ||||
\(557\) | 31.6865 | + | 20.3637i | 1.34260 | + | 0.862836i | 0.997138 | − | 0.0755977i | \(-0.0240865\pi\) |
0.345460 | + | 0.938433i | \(0.387723\pi\) | |||||||
\(558\) | −10.4627 | − | 39.7372i | −0.442922 | − | 1.68221i | ||||
\(559\) | −6.40018 | − | 44.5142i | −0.270699 | − | 1.88275i | ||||
\(560\) | 6.41670 | + | 3.14697i | 0.271155 | + | 0.132984i | ||||
\(561\) | 21.7013 | − | 13.9466i | 0.916229 | − | 0.588825i | ||||
\(562\) | 2.89769 | − | 4.24152i | 0.122232 | − | 0.178918i | ||||
\(563\) | 8.55919 | + | 3.90885i | 0.360727 | + | 0.164738i | 0.587530 | − | 0.809202i | \(-0.300100\pi\) |
−0.226804 | + | 0.973941i | \(0.572828\pi\) | |||||||
\(564\) | 49.6342 | − | 11.5854i | 2.08998 | − | 0.487833i | ||||
\(565\) | 1.87873 | − | 32.4746i | 0.0790390 | − | 1.36622i | ||||
\(566\) | −33.9798 | + | 3.91312i | −1.42828 | + | 0.164481i | ||||
\(567\) | −0.163995 | + | 0.558517i | −0.00688716 | + | 0.0234555i | ||||
\(568\) | −25.9882 | + | 9.30910i | −1.09044 | + | 0.390601i | ||||
\(569\) | 26.7298 | − | 23.1615i | 1.12057 | − | 0.970980i | 0.120806 | − | 0.992676i | \(-0.461452\pi\) |
0.999765 | + | 0.0216966i | \(0.00690677\pi\) | |||||||
\(570\) | −6.72844 | + | 4.88590i | −0.281823 | + | 0.204648i | ||||
\(571\) | 13.5869 | − | 15.6801i | 0.568594 | − | 0.656192i | −0.396519 | − | 0.918026i | \(-0.629782\pi\) |
0.965113 | + | 0.261834i | \(0.0843274\pi\) | |||||||
\(572\) | −33.5809 | + | 46.3010i | −1.40409 | + | 1.93594i | ||||
\(573\) | 6.64302 | + | 14.5462i | 0.277516 | + | 0.607675i | ||||
\(574\) | −6.24199 | − | 3.06576i | −0.260535 | − | 0.127962i | ||||
\(575\) | −23.8077 | + | 2.86281i | −0.992848 | + | 0.119388i | ||||
\(576\) | 34.9193 | − | 14.8597i | 1.45497 | − | 0.619153i | ||||
\(577\) | 10.3261 | − | 4.71578i | 0.429882 | − | 0.196320i | −0.188710 | − | 0.982033i | \(-0.560431\pi\) |
0.618592 | + | 0.785712i | \(0.287703\pi\) | |||||||
\(578\) | −3.18987 | + | 18.4782i | −0.132681 | + | 0.768590i | ||||
\(579\) | 13.6724 | + | 11.8472i | 0.568205 | + | 0.492353i | ||||
\(580\) | −6.31074 | − | 36.4310i | −0.262039 | − | 1.51272i | ||||
\(581\) | −2.97956 | − | 3.43860i | −0.123613 | − | 0.142657i | ||||
\(582\) | −34.4327 | − | 11.1721i | −1.42728 | − | 0.463097i | ||||
\(583\) | −26.7699 | − | 7.86034i | −1.10869 | − | 0.325542i | ||||
\(584\) | 6.27703 | + | 6.44282i | 0.259745 | + | 0.266606i | ||||
\(585\) | −63.1842 | − | 3.65536i | −2.61235 | − | 0.151130i | ||||
\(586\) | −12.2913 | − | 15.0189i | −0.507750 | − | 0.620426i | ||||
\(587\) | 3.24635 | − | 7.10851i | 0.133991 | − | 0.293400i | −0.830729 | − | 0.556677i | \(-0.812076\pi\) |
0.964720 | + | 0.263277i | \(0.0848034\pi\) | |||||||
\(588\) | −30.8144 | + | 17.4355i | −1.27076 | + | 0.719026i | ||||
\(589\) | 3.12919 | + | 4.86912i | 0.128936 | + | 0.200629i | ||||
\(590\) | −3.58970 | − | 2.76952i | −0.147786 | − | 0.114019i | ||||
\(591\) | 20.5434 | − | 2.95369i | 0.845042 | − | 0.121499i | ||||
\(592\) | −24.1726 | + | 11.9348i | −0.993488 | + | 0.490517i | ||||
\(593\) | −1.57572 | + | 2.45186i | −0.0647070 | + | 0.100686i | −0.872099 | − | 0.489329i | \(-0.837242\pi\) |
0.807392 | + | 0.590015i | \(0.200878\pi\) | |||||||
\(594\) | 12.8157 | + | 30.2905i | 0.525835 | + | 1.24284i | ||||
\(595\) | 1.25159 | + | 3.22105i | 0.0513102 | + | 0.132050i | ||||
\(596\) | 6.49547 | + | 3.42041i | 0.266065 | + | 0.140106i | ||||
\(597\) | −17.6974 | −0.724306 | ||||||||
\(598\) | −24.4808 | + | 32.2234i | −1.00110 | + | 1.31771i | ||||
\(599\) | 31.3309i | 1.28015i | 0.768314 | + | 0.640073i | \(0.221096\pi\) | ||||
−0.768314 | + | 0.640073i | \(0.778904\pi\) | |||||||
\(600\) | −28.2195 | − | 27.4298i | −1.15206 | − | 1.11982i | ||||
\(601\) | −1.51172 | + | 0.443882i | −0.0616645 | + | 0.0181063i | −0.312419 | − | 0.949944i | \(-0.601139\pi\) |
0.250755 | + | 0.968051i | \(0.419321\pi\) | |||||||
\(602\) | −3.31872 | − | 7.84395i | −0.135261 | − | 0.319696i | ||||
\(603\) | −3.77436 | + | 5.87303i | −0.153704 | + | 0.239168i | ||||
\(604\) | 37.0091 | + | 7.46701i | 1.50588 | + | 0.303828i | ||||
\(605\) | −6.04639 | − | 26.0805i | −0.245821 | − | 1.06032i | ||||
\(606\) | 16.7120 | − | 18.2241i | 0.678878 | − | 0.740303i | ||||
\(607\) | −10.8691 | + | 6.98514i | −0.441163 | + | 0.283518i | −0.742306 | − | 0.670061i | \(-0.766268\pi\) |
0.301144 | + | 0.953579i | \(0.402632\pi\) | |||||||
\(608\) | −4.03248 | + | 3.50886i | −0.163539 | + | 0.142303i | ||||
\(609\) | −16.7219 | − | 7.63664i | −0.677606 | − | 0.309452i | ||||
\(610\) | −12.4393 | + | 12.0829i | −0.503654 | + | 0.489224i | ||||
\(611\) | −54.0862 | − | 7.77642i | −2.18809 | − | 0.314600i | ||||
\(612\) | 17.2874 | + | 6.15196i | 0.698803 | + | 0.248678i | ||||
\(613\) | 2.55846 | + | 0.751231i | 0.103335 | + | 0.0303419i | 0.332991 | − | 0.942930i | \(-0.391942\pi\) |
−0.229656 | + | 0.973272i | \(0.573760\pi\) | |||||||
\(614\) | −23.7301 | − | 7.69946i | −0.957667 | − | 0.310725i | ||||
\(615\) | 27.4435 | + | 26.7064i | 1.10663 | + | 1.07691i | ||||
\(616\) | −3.91747 | + | 10.0992i | −0.157840 | + | 0.406907i | ||||
\(617\) | −32.3687 | + | 37.3555i | −1.30312 | + | 1.50388i | −0.575750 | + | 0.817625i | \(0.695290\pi\) |
−0.727365 | + | 0.686250i | \(0.759255\pi\) | |||||||
\(618\) | 41.3062 | + | 7.13064i | 1.66158 | + | 0.286837i | ||||
\(619\) | 16.1769 | + | 35.4225i | 0.650205 | + | 1.42375i | 0.891375 | + | 0.453267i | \(0.149742\pi\) |
−0.241170 | + | 0.970483i | \(0.577531\pi\) | |||||||
\(620\) | −20.1784 | + | 18.5256i | −0.810383 | + | 0.744005i | ||||
\(621\) | 8.58933 | + | 21.6273i | 0.344678 | + | 0.867875i | ||||
\(622\) | 0.526964 | + | 0.258819i | 0.0211293 | + | 0.0103777i | ||||
\(623\) | −2.04080 | − | 4.46874i | −0.0817631 | − | 0.179036i | ||||
\(624\) | −66.3848 | + | 2.00686i | −2.65752 | + | 0.0803387i | ||||
\(625\) | −9.13242 | + | 23.2723i | −0.365297 | + | 0.930891i | ||||
\(626\) | −1.49941 | + | 0.905027i | −0.0599285 | + | 0.0361722i | ||||
\(627\) | −8.25341 | − | 9.52494i | −0.329609 | − | 0.380390i | ||||
\(628\) | −18.9052 | + | 19.4853i | −0.754398 | + | 0.777549i | ||||
\(629\) | −12.5070 | − | 3.67238i | −0.498686 | − | 0.146427i | ||||
\(630\) | −11.7482 | + | 2.37740i | −0.468059 | + | 0.0947178i | ||||
\(631\) | −0.508615 | + | 3.53750i | −0.0202477 | + | 0.140826i | −0.997438 | − | 0.0715415i | \(-0.977208\pi\) |
0.977190 | + | 0.212367i | \(0.0681173\pi\) | |||||||
\(632\) | 4.48384 | − | 19.3915i | 0.178358 | − | 0.771353i | ||||
\(633\) | −4.19276 | − | 1.91477i | −0.166647 | − | 0.0761052i | ||||
\(634\) | −16.4409 | + | 24.0655i | −0.652952 | + | 0.955764i | ||||
\(635\) | 23.1083 | − | 17.7946i | 0.917026 | − | 0.706156i | ||||
\(636\) | −11.7788 | − | 30.1795i | −0.467061 | − | 1.19670i | ||||
\(637\) | 37.5709 | − | 5.40188i | 1.48861 | − | 0.214030i | ||||
\(638\) | 54.1931 | − | 14.2689i | 2.14553 | − | 0.564913i | ||||
\(639\) | 25.0305 | − | 38.9483i | 0.990193 | − | 1.54077i | ||||
\(640\) | −19.6202 | − | 15.9702i | −0.775557 | − | 0.631277i | ||||
\(641\) | 3.75294 | + | 12.7814i | 0.148232 | + | 0.504833i | 0.999812 | − | 0.0193922i | \(-0.00617311\pi\) |
−0.851580 | + | 0.524225i | \(0.824355\pi\) | |||||||
\(642\) | 0.282785 | − | 10.0449i | 0.0111606 | − | 0.396442i | ||||
\(643\) | − | 18.1403i | − | 0.715385i | −0.933839 | − | 0.357692i | \(-0.883564\pi\) | ||
0.933839 | − | 0.357692i | \(-0.116436\pi\) | |||||||
\(644\) | −2.92968 | + | 7.08209i | −0.115446 | + | 0.279074i | ||||
\(645\) | 3.98220 | + | 46.7301i | 0.156799 | + | 1.83999i | ||||
\(646\) | −2.58358 | − | 0.0727330i | −0.101650 | − | 0.00286164i | ||||
\(647\) | −32.0051 | + | 9.39756i | −1.25825 | + | 0.369456i | −0.841844 | − | 0.539721i | \(-0.818530\pi\) |
−0.416409 | + | 0.909178i | \(0.636711\pi\) | |||||||
\(648\) | 1.01097 | − | 1.79542i | 0.0397148 | − | 0.0705309i | ||||
\(649\) | 3.71525 | − | 5.78105i | 0.145836 | − | 0.226926i | ||||
\(650\) | 17.4914 | + | 38.3942i | 0.686067 | + | 1.50595i | ||||
\(651\) | 1.93827 | + | 13.4810i | 0.0759668 | + | 0.528361i | ||||
\(652\) | −3.81824 | − | 9.78303i | −0.149534 | − | 0.383133i | ||||
\(653\) | −14.8844 | − | 23.1606i | −0.582471 | − | 0.906343i | 0.417526 | − | 0.908665i | \(-0.362897\pi\) |
−0.999997 | + | 0.00232217i | \(0.999261\pi\) | |||||||
\(654\) | 45.6601 | − | 66.8353i | 1.78545 | − | 2.61347i | ||||
\(655\) | −4.30942 | − | 1.54084i | −0.168383 | − | 0.0602058i | ||||
\(656\) | 19.0824 | + | 15.5508i | 0.745044 | + | 0.607156i | ||||
\(657\) | −14.9325 | − | 2.14697i | −0.582571 | − | 0.0837611i | ||||
\(658\) | −10.2806 | + | 1.18392i | −0.400781 | + | 0.0461540i | ||||
\(659\) | 5.14018 | + | 1.50929i | 0.200233 | + | 0.0587937i | 0.380311 | − | 0.924859i | \(-0.375817\pi\) |
−0.180078 | + | 0.983652i | \(0.557635\pi\) | |||||||
\(660\) | 37.7505 | − | 46.1822i | 1.46944 | − | 1.79764i | ||||
\(661\) | 18.9078 | − | 16.3837i | 0.735426 | − | 0.637251i | −0.204406 | − | 0.978886i | \(-0.565526\pi\) |
0.939833 | + | 0.341636i | \(0.110981\pi\) | |||||||
\(662\) | 7.70608 | + | 12.7671i | 0.299505 | + | 0.496208i | ||||
\(663\) | −24.2696 | − | 21.0297i | −0.942551 | − | 0.816725i | ||||
\(664\) | 7.53373 | + | 14.2350i | 0.292365 | + | 0.552425i | ||||
\(665\) | 1.47066 | − | 0.829225i | 0.0570298 | − | 0.0321560i | ||||
\(666\) | 19.9322 | − | 40.5825i | 0.772355 | − | 1.57254i | ||||
\(667\) | 38.5576 | − | 9.24176i | 1.49296 | − | 0.357843i | ||||
\(668\) | 1.02276 | + | 1.32406i | 0.0395716 | + | 0.0512293i | ||||
\(669\) | −14.3189 | − | 31.3540i | −0.553600 | − | 1.21221i | ||||
\(670\) | 4.63675 | + | 0.399431i | 0.179133 | + | 0.0154314i | ||||
\(671\) | −19.8645 | − | 17.2127i | −0.766860 | − | 0.664488i | ||||
\(672\) | −12.0613 | + | 3.56875i | −0.465275 | + | 0.137667i | ||||
\(673\) | −29.2839 | + | 25.3746i | −1.12881 | + | 0.978120i | −0.999908 | − | 0.0135370i | \(-0.995691\pi\) |
−0.128903 | + | 0.991657i | \(0.541145\pi\) | |||||||
\(674\) | 21.4542 | + | 6.96105i | 0.826386 | + | 0.268129i | ||||
\(675\) | 24.0994 | + | 2.79778i | 0.927585 | + | 0.107686i | ||||
\(676\) | 42.5865 | + | 15.1549i | 1.63794 | + | 0.582882i | ||||
\(677\) | 5.03248 | − | 35.0017i | 0.193414 | − | 1.34522i | −0.629474 | − | 0.777021i | \(-0.716730\pi\) |
0.822888 | − | 0.568203i | \(-0.192361\pi\) | |||||||
\(678\) | 36.2582 | + | 44.3044i | 1.39249 | + | 1.70150i | ||||
\(679\) | 6.68579 | + | 3.05330i | 0.256577 | + | 0.117175i | ||||
\(680\) | −1.74783 | − | 12.1068i | −0.0670263 | − | 0.464273i | ||||
\(681\) | −34.7366 | − | 54.0512i | −1.33111 | − | 2.07125i | ||||
\(682\) | −30.6002 | − | 28.0612i | −1.17174 | − | 1.07452i | ||||
\(683\) | 0.0179088 | + | 0.124558i | 0.000685261 | + | 0.00476609i | 0.990161 | − | 0.139931i | \(-0.0446882\pi\) |
−0.989476 | + | 0.144697i | \(0.953779\pi\) | |||||||
\(684\) | 1.77306 | − | 8.78789i | 0.0677945 | − | 0.336013i | ||||
\(685\) | 13.9947 | + | 7.39620i | 0.534710 | + | 0.282594i | ||||
\(686\) | 13.9054 | − | 5.88327i | 0.530909 | − | 0.224624i | ||||
\(687\) | −1.63515 | − | 5.56880i | −0.0623847 | − | 0.212463i | ||||
\(688\) | 5.19038 | + | 29.6986i | 0.197881 | + | 1.13225i | ||||
\(689\) | 34.7320i | 1.32318i | ||||||||
\(690\) | 27.4283 | − | 32.0739i | 1.04418 | − | 1.22103i | ||||
\(691\) | 7.66411i | 0.291556i | 0.989317 | + | 0.145778i | \(0.0465686\pi\) | ||||
−0.989317 | + | 0.145778i | \(0.953431\pi\) | |||||||
\(692\) | −13.0222 | − | 6.85730i | −0.495031 | − | 0.260675i | ||||
\(693\) | −5.11836 | − | 17.4315i | −0.194430 | − | 0.662169i | ||||
\(694\) | 13.4435 | + | 31.7743i | 0.510308 | + | 1.20614i | ||||
\(695\) | 11.4504 | − | 21.6658i | 0.434337 | − | 0.821829i | ||||
\(696\) | 51.5803 | + | 39.6719i | 1.95515 | + | 1.50376i | ||||
\(697\) | 1.69391 | + | 11.7814i | 0.0641616 | + | 0.446254i | ||||
\(698\) | 31.6822 | − | 34.5489i | 1.19919 | − | 1.30769i | ||||
\(699\) | 29.2624 | + | 45.5332i | 1.10681 | + | 1.72223i | ||||
\(700\) | 5.05491 | + | 6.18827i | 0.191058 | + | 0.233895i | ||||
\(701\) | −22.3062 | − | 10.1869i | −0.842492 | − | 0.384753i | −0.0530599 | − | 0.998591i | \(-0.516897\pi\) |
−0.789432 | + | 0.613838i | \(0.789625\pi\) | |||||||
\(702\) | 31.6857 | − | 25.9312i | 1.19590 | − | 0.978712i | ||||
\(703\) | −0.906331 | + | 6.30367i | −0.0341829 | + | 0.237747i | ||||
\(704\) | 21.5641 | − | 31.7058i | 0.812727 | − | 1.19496i | ||||
\(705\) | 55.8418 | + | 11.3539i | 2.10312 | + | 0.427611i | ||||
\(706\) | 7.93027 | − | 24.4414i | 0.298460 | − | 0.919865i | ||||
\(707\) | −3.79423 | + | 3.28772i | −0.142697 | + | 0.123648i | ||||
\(708\) | 7.94966 | − | 0.689451i | 0.298767 | − | 0.0259111i | ||||
\(709\) | −29.1085 | − | 25.2226i | −1.09319 | − | 0.947255i | −0.0943572 | − | 0.995538i | \(-0.530080\pi\) |
−0.998834 | + | 0.0482831i | \(0.984625\pi\) | |||||||
\(710\) | −30.7496 | − | 2.64892i | −1.15401 | − | 0.0994121i | ||||
\(711\) | 13.8668 | + | 30.3640i | 0.520044 | + | 1.13874i | ||||
\(712\) | 3.47469 | + | 17.0391i | 0.130219 | + | 0.638568i | ||||
\(713\) | −21.2042 | − | 20.3298i | −0.794103 | − | 0.761357i | ||||
\(714\) | −5.45895 | − | 2.68117i | −0.204296 | − | 0.100340i | ||||
\(715\) | −55.7033 | + | 31.4080i | −2.08319 | + | 1.17459i | ||||
\(716\) | −0.518193 | + | 0.714479i | −0.0193658 | + | 0.0267013i | ||||
\(717\) | 36.5011 | + | 31.6284i | 1.36316 | + | 1.18119i | ||||
\(718\) | 14.1916 | − | 8.56592i | 0.529628 | − | 0.319677i | ||||
\(719\) | 3.24241 | − | 2.80956i | 0.120921 | − | 0.104779i | −0.592301 | − | 0.805717i | \(-0.701780\pi\) |
0.713222 | + | 0.700938i | \(0.247235\pi\) | |||||||
\(720\) | 42.4127 | + | 1.16946i | 1.58063 | + | 0.0435834i | ||||
\(721\) | −8.16609 | − | 2.39778i | −0.304121 | − | 0.0892980i | ||||
\(722\) | −2.92958 | − | 25.4392i | −0.109028 | − | 0.946748i | ||||
\(723\) | −59.6372 | − | 8.57453i | −2.21793 | − | 0.318890i | ||||
\(724\) | 5.21721 | + | 22.3516i | 0.193896 | + | 0.830689i | ||||
\(725\) | 10.5622 | − | 39.9656i | 0.392271 | − | 1.48428i | ||||
\(726\) | 38.9057 | + | 26.5793i | 1.44393 | + | 0.986452i | ||||
\(727\) | 11.4983 | + | 17.8918i | 0.426450 | + | 0.663569i | 0.986288 | − | 0.165033i | \(-0.0527731\pi\) |
−0.559838 | + | 0.828602i | \(0.689137\pi\) | |||||||
\(728\) | 13.4369 | + | 1.13723i | 0.498003 | + | 0.0421484i | ||||
\(729\) | 6.25665 | + | 43.5160i | 0.231728 | + | 1.61170i | ||||
\(730\) | 3.37718 | + | 9.47277i | 0.124995 | + | 0.350603i | ||||
\(731\) | −7.88124 | + | 12.2634i | −0.291498 | + | 0.453580i | ||||
\(732\) | 1.71708 | − | 30.4724i | 0.0634650 | − | 1.12629i | ||||
\(733\) | −26.6741 | + | 7.83223i | −0.985232 | + | 0.289290i | −0.734382 | − | 0.678736i | \(-0.762528\pi\) |
−0.250849 | + | 0.968026i | \(0.580710\pi\) | |||||||
\(734\) | −0.993958 | + | 35.3069i | −0.0366877 | + | 1.30320i | ||||
\(735\) | −39.4411 | + | 3.36106i | −1.45481 | + | 0.123974i | ||||
\(736\) | 15.7514 | − | 22.0883i | 0.580605 | − | 0.814185i | ||||
\(737\) | 7.05386i | 0.259832i | ||||||||
\(738\) | −41.2689 | − | 1.16180i | −1.51913 | − | 0.0427665i | ||||
\(739\) | −12.4295 | − | 42.3310i | −0.457226 | − | 1.55717i | −0.789355 | − | 0.613936i | \(-0.789585\pi\) |
0.332129 | − | 0.943234i | \(-0.392233\pi\) | |||||||
\(740\) | −30.1280 | + | 0.865592i | −1.10753 | + | 0.0318198i | ||||
\(741\) | −8.48240 | + | 13.1989i | −0.311609 | + | 0.484872i | ||||
\(742\) | 1.67484 | + | 6.36101i | 0.0614854 | + | 0.233520i | ||||
\(743\) | 51.0270 | − | 7.33658i | 1.87200 | − | 0.269153i | 0.889711 | − | 0.456523i | \(-0.150905\pi\) |
0.982289 | + | 0.187370i | \(0.0599964\pi\) | |||||||
\(744\) | 4.06573 | − | 48.0386i | 0.149057 | − | 1.76118i | ||||
\(745\) | 5.00755 | + | 6.50288i | 0.183462 | + | 0.238247i | ||||
\(746\) | 42.4256 | + | 28.9840i | 1.55331 | + | 1.06118i | ||||
\(747\) | −24.5706 | − | 11.2210i | −0.898990 | − | 0.410555i | ||||
\(748\) | 18.0549 | − | 4.21430i | 0.660152 | − | 0.154090i | ||||
\(749\) | −0.290369 | + | 2.01956i | −0.0106098 | + | 0.0737931i | ||||
\(750\) | −15.8980 | − | 41.0265i | −0.580515 | − | 1.49808i | ||||
\(751\) | 32.3860 | + | 9.50939i | 1.18178 | + | 0.347003i | 0.812861 | − | 0.582458i | \(-0.197909\pi\) |
0.368921 | + | 0.929461i | \(0.379727\pi\) | |||||||
\(752\) | 36.3998 | + | 4.11522i | 1.32736 | + | 0.150067i | ||||
\(753\) | −23.7543 | − | 27.4139i | −0.865655 | − | 0.999019i | ||||
\(754\) | −36.0502 | − | 59.7264i | −1.31287 | − | 2.17511i | ||||
\(755\) | 34.1330 | + | 24.8339i | 1.24223 | + | 0.903799i | ||||
\(756\) | 4.55264 | − | 6.27714i | 0.165578 | − | 0.228297i | ||||
\(757\) | 4.67997 | + | 10.2477i | 0.170096 | + | 0.372459i | 0.975413 | − | 0.220386i | \(-0.0707318\pi\) |
−0.805316 | + | 0.592845i | \(0.798005\pi\) | |||||||
\(758\) | 11.1209 | − | 22.6424i | 0.403928 | − | 0.822410i | ||||
\(759\) | 52.0025 | + | 37.2468i | 1.88757 | + | 1.35197i | ||||
\(760\) | −5.73325 | + | 1.68703i | −0.207967 | + | 0.0611952i | ||||
\(761\) | 18.7583 | + | 41.0748i | 0.679986 | + | 1.48896i | 0.862658 | + | 0.505788i | \(0.168798\pi\) |
−0.182672 | + | 0.983174i | \(0.558474\pi\) | |||||||
\(762\) | −8.73201 | + | 50.5825i | −0.316328 | + | 1.83241i | ||||
\(763\) | −10.7624 | + | 12.4205i | −0.389626 | + | 0.449652i | ||||
\(764\) | 0.993040 | + | 11.4502i | 0.0359269 | + | 0.414253i | ||||
\(765\) | 14.7026 | + | 14.3077i | 0.531574 | + | 0.517297i | ||||
\(766\) | −10.5903 | + | 32.6398i | −0.382644 | + | 1.17932i | ||||
\(767\) | −8.20818 | − | 2.41014i | −0.296380 | − | 0.0870250i | ||||
\(768\) | 44.4427 | − | 2.68953i | 1.60369 | − | 0.0970499i | ||||
\(769\) | 34.7536 | + | 4.99681i | 1.25325 | + | 0.180190i | 0.736788 | − | 0.676123i | \(-0.236341\pi\) |
0.516457 | + | 0.856313i | \(0.327250\pi\) | |||||||
\(770\) | −8.68726 | + | 8.43836i | −0.313067 | + | 0.304098i | ||||
\(771\) | −21.8333 | − | 9.97095i | −0.786309 | − | 0.359095i | ||||
\(772\) | 6.40310 | + | 11.3164i | 0.230453 | + | 0.407288i | ||||
\(773\) | −2.76060 | + | 1.77413i | −0.0992918 | + | 0.0638110i | −0.589344 | − | 0.807882i | \(-0.700614\pi\) |
0.490053 | + | 0.871693i | \(0.336978\pi\) | |||||||
\(774\) | −37.2666 | − | 34.1745i | −1.33952 | − | 1.22838i | ||||
\(775\) | −29.1397 | + | 9.42504i | −1.04673 | + | 0.338557i | ||||
\(776\) | −20.6230 | − | 15.8617i | −0.740321 | − | 0.569403i | ||||
\(777\) | −8.10189 | + | 12.6068i | −0.290654 | + | 0.452266i | ||||
\(778\) | −13.0919 | + | 5.53910i | −0.469368 | + | 0.198587i | ||||
\(779\) | 5.57967 | − | 1.63834i | 0.199913 | − | 0.0586996i | ||||
\(780\) | −68.4021 | − | 28.8939i | −2.44919 | − | 1.03457i | ||||
\(781\) | − | 46.7793i | − | 1.67389i | ||||||
\(782\) | 12.8373 | − | 2.69734i | 0.459062 | − | 0.0964568i | ||||
\(783\) | −40.1161 | −1.43363 | ||||||||
\(784\) | −25.0662 | + | 4.38079i | −0.895221 | + | 0.156457i | ||||
\(785\) | −28.2930 | + | 10.9937i | −1.00982 | + | 0.392382i | ||||
\(786\) | 7.41803 | − | 3.13852i | 0.264593 | − | 0.111947i | ||||
\(787\) | −18.7829 | + | 29.2267i | −0.669537 | + | 1.04182i | 0.325807 | + | 0.945436i | \(0.394364\pi\) |
−0.995344 | + | 0.0963839i | \(0.969272\pi\) | |||||||
\(788\) | 14.6220 | + | 2.95016i | 0.520888 | + | 0.105095i | ||||
\(789\) | 10.1728 | − | 1.46263i | 0.362162 | − | 0.0520710i | ||||
\(790\) | 13.5928 | − | 17.6183i | 0.483612 | − | 0.626831i | ||||
\(791\) | −6.28439 | − | 9.77870i | −0.223447 | − | 0.347691i | ||||
\(792\) | 3.75131 | + | 64.1991i | 0.133297 | + | 2.28121i | ||||
\(793\) | −13.5927 | + | 29.7639i | −0.482692 | + | 1.05695i | ||||
\(794\) | −16.0003 | + | 13.0944i | −0.567828 | + | 0.464704i | ||||
\(795\) | 2.09195 | − | 36.1601i | 0.0741938 | − | 1.28247i | ||||
\(796\) | −11.9832 | − | 4.26438i | −0.424734 | − | 0.151147i | ||||
\(797\) | −3.09392 | − | 0.908457i | −0.109592 | − | 0.0321792i | 0.226477 | − | 0.974017i | \(-0.427279\pi\) |
−0.336069 | + | 0.941837i | \(0.609097\pi\) | |||||||
\(798\) | −0.917039 | + | 2.82635i | −0.0324628 | + | 0.100052i | ||||
\(799\) | 11.5991 | + | 13.3860i | 0.410345 | + | 0.473563i | ||||
\(800\) | −12.4984 | − | 25.3730i | −0.441886 | − | 0.897071i | ||||
\(801\) | −22.0416 | − | 19.0992i | −0.778803 | − | 0.674836i | ||||
\(802\) | 23.3148 | + | 4.02481i | 0.823273 | + | 0.142121i | ||||
\(803\) | −13.8654 | + | 6.33212i | −0.489299 | + | 0.223456i | ||||
\(804\) | −6.48210 | + | 5.00704i | −0.228606 | + | 0.176585i | ||||
\(805\) | −6.27750 | + | 5.83240i | −0.221253 | + | 0.205565i | ||||
\(806\) | −22.7855 | + | 46.3920i | −0.802584 | + | 1.63409i | ||||
\(807\) | −11.9364 | − | 26.1370i | −0.420180 | − | 0.920065i | ||||
\(808\) | 15.7073 | − | 8.31291i | 0.552580 | − | 0.292447i | ||||
\(809\) | −9.04785 | + | 10.4418i | −0.318105 | + | 0.367113i | −0.892172 | − | 0.451695i | \(-0.850819\pi\) |
0.574067 | + | 0.818808i | \(0.305365\pi\) | |||||||
\(810\) | 1.86407 | − | 1.35361i | 0.0654968 | − | 0.0475609i | ||||
\(811\) | −1.19538 | + | 1.03580i | −0.0419754 | + | 0.0363719i | −0.675596 | − | 0.737272i | \(-0.736114\pi\) |
0.633620 | + | 0.773644i | \(0.281568\pi\) | |||||||
\(812\) | −9.48256 | − | 9.20022i | −0.332772 | − | 0.322865i | ||||
\(813\) | 5.23309 | − | 17.8223i | 0.183532 | − | 0.625054i | ||||
\(814\) | −5.22635 | − | 45.3833i | −0.183183 | − | 1.59068i | ||||
\(815\) | 0.678129 | − | 11.7217i | 0.0237538 | − | 0.410593i | ||||
\(816\) | 16.6886 | + | 13.6000i | 0.584218 | + | 0.476095i | ||||
\(817\) | 6.47854 | + | 2.95865i | 0.226655 | + | 0.103510i | ||||
\(818\) | −10.4716 | − | 7.15391i | −0.366130 | − | 0.250130i | ||||
\(819\) | −19.0259 | + | 12.2272i | −0.664819 | + | 0.427253i | ||||
\(820\) | 12.1473 | + | 24.6962i | 0.424202 | + | 0.862428i | ||||
\(821\) | 1.28828 | + | 8.96019i | 0.0449613 | + | 0.312713i | 0.999875 | + | 0.0158283i | \(0.00503853\pi\) |
−0.954913 | + | 0.296884i | \(0.904052\pi\) | |||||||
\(822\) | −26.9402 | + | 7.09330i | −0.939647 | + | 0.247407i | ||||
\(823\) | −7.58851 | − | 4.87684i | −0.264519 | − | 0.169996i | 0.401658 | − | 0.915790i | \(-0.368434\pi\) |
−0.666177 | + | 0.745794i | \(0.732070\pi\) | |||||||
\(824\) | 26.2509 | + | 14.7815i | 0.914494 | + | 0.514936i | ||||
\(825\) | 59.8855 | − | 29.3444i | 2.08495 | − | 1.02164i | ||||
\(826\) | −1.61951 | − | 0.0455925i | −0.0563501 | − | 0.00158637i | ||||
\(827\) | − | 3.92448i | − | 0.136468i | −0.997669 | − | 0.0682338i | \(-0.978264\pi\) | ||
0.997669 | − | 0.0682338i | \(-0.0217364\pi\) | |||||||
\(828\) | 1.64493 | + | 45.4701i | 0.0571651 | + | 1.58020i | ||||
\(829\) | −3.62949 | −0.126057 | −0.0630287 | − | 0.998012i | \(-0.520076\pi\) | ||||
−0.0630287 | + | 0.998012i | \(0.520076\pi\) | |||||||
\(830\) | 1.02344 | + | 17.9776i | 0.0355240 | + | 0.624011i | ||||
\(831\) | −24.0136 | − | 81.7829i | −0.833024 | − | 2.83702i | ||||
\(832\) | −45.4339 | − | 14.6373i | −1.57514 | − | 0.507456i | ||||
\(833\) | −10.3506 | − | 6.65193i | −0.358627 | − | 0.230476i | ||||
\(834\) | 10.9814 | + | 41.7072i | 0.380256 | + | 1.44420i | ||||
\(835\) | 0.422456 | + | 1.82222i | 0.0146197 | + | 0.0630605i | ||||
\(836\) | −3.29339 | − | 8.43825i | −0.113904 | − | 0.291843i | ||||
\(837\) | 16.0684 | + | 25.0029i | 0.555405 | + | 0.864227i | ||||
\(838\) | 36.6666 | + | 25.0497i | 1.26663 | + | 0.865326i | ||||
\(839\) | 22.8431 | − | 50.0195i | 0.788633 | − | 1.72687i | 0.108109 | − | 0.994139i | \(-0.465520\pi\) |
0.680524 | − | 0.732726i | \(-0.261752\pi\) | |||||||
\(840\) | −13.9209 | − | 1.99331i | −0.480316 | − | 0.0687756i | ||||
\(841\) | −5.60041 | + | 38.9517i | −0.193118 | + | 1.34316i | ||||
\(842\) | −42.8340 | + | 4.93277i | −1.47616 | + | 0.169995i | ||||
\(843\) | −2.84768 | + | 9.69832i | −0.0980795 | + | 0.334028i | ||||
\(844\) | −2.37760 | − | 2.30681i | −0.0818404 | − | 0.0794037i | ||||
\(845\) | 36.2189 | + | 35.2461i | 1.24597 | + | 1.21250i | ||||
\(846\) | −52.5980 | + | 31.7476i | −1.80836 | + | 1.09150i | ||||
\(847\) | −7.23013 | − | 6.26495i | −0.248430 | − | 0.215266i | ||||
\(848\) | −0.703569 | − | 23.2733i | −0.0241607 | − | 0.799209i | ||||
\(849\) | 61.2219 | − | 27.9591i | 2.10113 | − | 0.959554i | ||||
\(850\) | 3.86508 | − | 13.1186i | 0.132571 | − | 0.449963i | ||||
\(851\) | −2.98389 | − | 32.1839i | −0.102286 | − | 1.10325i | ||||
\(852\) | 42.9875 | − | 33.2053i | 1.47273 | − | 1.13760i | ||||
\(853\) | −18.5807 | + | 8.48552i | −0.636191 | + | 0.290539i | −0.707282 | − | 0.706931i | \(-0.750079\pi\) |
0.0710917 | + | 0.997470i | \(0.477352\pi\) | |||||||
\(854\) | −1.05418 | + | 6.10660i | −0.0360732 | + | 0.208964i | ||||
\(855\) | 5.89687 | − | 8.10495i | 0.201669 | − | 0.277184i | ||||
\(856\) | 2.61191 | − | 6.73345i | 0.0892734 | − | 0.230145i | ||||
\(857\) | −11.9612 | + | 10.3644i | −0.408587 | + | 0.354042i | −0.834774 | − | 0.550593i | \(-0.814402\pi\) |
0.426188 | + | 0.904635i | \(0.359856\pi\) | |||||||
\(858\) | 34.7341 | − | 107.052i | 1.18580 | − | 3.65469i | ||||
\(859\) | −9.25301 | + | 31.5128i | −0.315708 | + | 1.07520i | 0.636885 | + | 0.770959i | \(0.280223\pi\) |
−0.952594 | + | 0.304246i | \(0.901596\pi\) | |||||||
\(860\) | −8.56370 | + | 32.6013i | −0.292020 | + | 1.11169i | ||||
\(861\) | 13.5446 | + | 1.94741i | 0.461597 | + | 0.0663676i | ||||
\(862\) | −15.5483 | − | 18.9986i | −0.529577 | − | 0.647096i | ||||
\(863\) | −12.8331 | + | 28.1005i | −0.436843 | + | 0.956553i | 0.555324 | + | 0.831634i | \(0.312594\pi\) |
−0.992167 | + | 0.124919i | \(0.960133\pi\) | |||||||
\(864\) | −20.7068 | + | 18.0179i | −0.704458 | + | 0.612983i | ||||
\(865\) | −10.0392 | − | 13.0371i | −0.341343 | − | 0.443274i | ||||
\(866\) | −1.69953 | + | 1.85331i | −0.0577525 | + | 0.0629780i | ||||
\(867\) | −5.25103 | − | 36.5217i | −0.178334 | − | 1.24034i | ||||
\(868\) | −1.93595 | + | 9.59525i | −0.0657105 | + | 0.325684i | ||||
\(869\) | 28.3734 | + | 18.2345i | 0.962502 | + | 0.618563i | ||||
\(870\) | 33.9351 | + | 64.3537i | 1.15051 | + | 2.18179i | ||||
\(871\) | 8.42546 | − | 2.47394i | 0.285486 | − | 0.0838262i | ||||
\(872\) | 47.0219 | − | 34.2530i | 1.59236 | − | 1.15995i | ||||
\(873\) | 43.6349 | 1.47682 | ||||||||
\(874\) | −2.19701 | − | 6.02053i | −0.0743150 | − | 0.203648i | ||||
\(875\) | 2.25375 | + | 8.64460i | 0.0761907 | + | 0.292241i | ||||
\(876\) | −15.6609 | − | 8.24680i | −0.529134 | − | 0.278634i | ||||
\(877\) | 5.10974 | + | 17.4022i | 0.172544 | + | 0.587630i | 0.999672 | + | 0.0256165i | \(0.00815489\pi\) |
−0.827128 | + | 0.562013i | \(0.810027\pi\) | |||||||
\(878\) | −25.5996 | + | 10.8310i | −0.863944 | + | 0.365529i | ||||
\(879\) | 32.1257 | + | 20.6459i | 1.08357 | + | 0.696369i | ||||
\(880\) | 36.6896 | − | 22.1744i | 1.23681 | − | 0.747498i | ||||
\(881\) | −0.832286 | + | 0.119665i | −0.0280404 | + | 0.00403160i | −0.156321 | − | 0.987706i | \(-0.549963\pi\) |
0.128280 | + | 0.991738i | \(0.459054\pi\) | |||||||
\(882\) | 28.8440 | − | 31.4538i | 0.971227 | − | 1.05910i | ||||
\(883\) | 4.85771 | − | 3.12186i | 0.163475 | − | 0.105059i | −0.456345 | − | 0.889803i | \(-0.650842\pi\) |
0.619820 | + | 0.784744i | \(0.287205\pi\) | |||||||
\(884\) | −11.3660 | − | 20.0876i | −0.382280 | − | 0.675618i | ||||
\(885\) | 8.40052 | + | 3.00363i | 0.282380 | + | 0.100966i | ||||
\(886\) | −22.0694 | − | 26.9669i | −0.741437 | − | 0.905971i | ||||
\(887\) | −2.02245 | + | 14.0665i | −0.0679073 | + | 0.472306i | 0.927284 | + | 0.374358i | \(0.122137\pi\) |
−0.995192 | + | 0.0979478i | \(0.968772\pi\) | |||||||
\(888\) | 37.9949 | − | 37.0171i | 1.27503 | − | 1.24221i | ||||
\(889\) | 2.93626 | − | 9.99999i | 0.0984791 | − | 0.335389i | ||||
\(890\) | −4.40842 | + | 18.9360i | −0.147771 | + | 0.634736i | ||||
\(891\) | 2.28656 | + | 2.63883i | 0.0766025 | + | 0.0884040i | ||||
\(892\) | −2.14048 | − | 24.6806i | −0.0716685 | − | 0.826368i | ||||
\(893\) | 5.66694 | − | 6.53999i | 0.189637 | − | 0.218853i | ||||
\(894\) | −14.2344 | − | 2.45726i | −0.476068 | − | 0.0821832i | ||||
\(895\) | −0.859568 | + | 0.484663i | −0.0287322 | + | 0.0162005i | ||||
\(896\) | −9.02685 | − | 0.489844i | −0.301566 | − | 0.0163645i | ||||
\(897\) | 26.2509 | − | 75.1775i | 0.876494 | − | 2.51010i | ||||
\(898\) | −11.3218 | + | 23.0516i | −0.377814 | + | 0.769241i | ||||
\(899\) | 46.0642 | − | 21.0368i | 1.53633 | − | 0.701616i | ||||
\(900\) | 42.5592 | + | 20.9517i | 1.41864 | + | 0.698389i | ||||
\(901\) | 7.37263 | − | 8.50847i | 0.245618 | − | 0.283458i | ||||
\(902\) | −35.7132 | + | 21.5561i | −1.18912 | + | 0.717740i | ||||
\(903\) | 10.9749 | + | 12.6657i | 0.365222 | + | 0.421489i | ||||
\(904\) | 13.8754 | + | 38.7360i | 0.461490 | + | 1.28834i | ||||
\(905\) | −5.11294 | + | 25.1470i | −0.169960 | + | 0.835915i | ||||
\(906\) | −73.8025 | + | 8.49910i | −2.45192 | + | 0.282364i | ||||
\(907\) | −11.7968 | − | 1.69613i | −0.391708 | − | 0.0563191i | −0.0563528 | − | 0.998411i | \(-0.517947\pi\) |
−0.335355 | + | 0.942092i | \(0.608856\pi\) | |||||||
\(908\) | −10.4965 | − | 44.9692i | −0.348339 | − | 1.49235i | ||||
\(909\) | −12.3815 | + | 27.1118i | −0.410670 | + | 0.899242i | ||||
\(910\) | 13.1260 | + | 7.41696i | 0.435122 | + | 0.245870i | ||||
\(911\) | −37.4617 | + | 24.0752i | −1.24116 | + | 0.797646i | −0.985591 | − | 0.169144i | \(-0.945900\pi\) |
−0.255571 | + | 0.966790i | \(0.582263\pi\) | |||||||
\(912\) | 5.41654 | − | 9.01616i | 0.179360 | − | 0.298555i | ||||
\(913\) | −27.0146 | + | 3.88411i | −0.894052 | + | 0.128545i | ||||
\(914\) | 4.84626 | − | 1.27601i | 0.160300 | − | 0.0422067i | ||||
\(915\) | 15.9444 | − | 30.1691i | 0.527104 | − | 0.997359i | ||||
\(916\) | 0.234677 | − | 4.16473i | 0.00775394 | − | 0.137607i | ||||
\(917\) | −1.56917 | + | 0.460750i | −0.0518185 | + | 0.0152153i | ||||
\(918\) | −13.2667 | − | 0.373483i | −0.437866 | − | 0.0123268i | ||||
\(919\) | 46.2043 | 1.52414 | 0.762070 | − | 0.647495i | \(-0.224183\pi\) | ||||
0.762070 | + | 0.647495i | \(0.224183\pi\) | |||||||
\(920\) | 26.3007 | − | 15.1087i | 0.867110 | − | 0.498117i | ||||
\(921\) | 49.0900 | 1.61757 | ||||||||
\(922\) | −24.9607 | − | 0.702694i | −0.822038 | − | 0.0231420i | ||||
\(923\) | −55.8754 | + | 16.4065i | −1.83916 | + | 0.540026i | ||||
\(924\) | 1.19916 | − | 21.2810i | 0.0394494 | − | 0.700095i | ||||
\(925\) | −31.0225 | − | 13.1591i | −1.02001 | − | 0.432668i | ||||
\(926\) | −48.5570 | + | 12.7850i | −1.59568 | + | 0.420140i | ||||
\(927\) | −50.0122 | + | 7.19066i | −1.64261 | + | 0.236172i | ||||
\(928\) | 25.3665 | + | 39.2914i | 0.832696 | + | 1.28980i | ||||
\(929\) | 45.0323 | − | 28.9405i | 1.47746 | − | 0.949506i | 0.480076 | − | 0.877227i | \(-0.340609\pi\) |
0.997384 | − | 0.0722794i | \(-0.0230273\pi\) | |||||||
\(930\) | 26.5166 | − | 46.9272i | 0.869515 | − | 1.53880i | ||||
\(931\) | −2.49716 | + | 5.46802i | −0.0818412 | + | 0.179207i | ||||
\(932\) | 8.84236 | + | 37.8824i | 0.289641 | + | 1.24088i | ||||
\(933\) | −1.14346 | − | 0.164405i | −0.0374353 | − | 0.00538239i | ||||
\(934\) | 20.6305 | − | 2.37581i | 0.675051 | − | 0.0777390i | ||||
\(935\) | 20.3130 | + | 4.13007i | 0.664305 | + | 0.135068i | ||||
\(936\) | 75.3667 | − | 26.9967i | 2.46344 | − | 0.882416i | ||||
\(937\) | 24.2039 | + | 27.9328i | 0.790708 | + | 0.912525i | 0.997834 | − | 0.0657890i | \(-0.0209564\pi\) |
−0.207126 | + | 0.978314i | \(0.566411\pi\) | |||||||
\(938\) | 1.42379 | − | 0.859383i | 0.0464883 | − | 0.0280598i | ||||
\(939\) | 2.25677 | − | 2.60445i | 0.0736468 | − | 0.0849929i | ||||
\(940\) | 35.0756 | + | 21.1436i | 1.14404 | + | 0.689627i | ||||
\(941\) | −31.2428 | + | 14.2681i | −1.01849 | + | 0.465128i | −0.853458 | − | 0.521161i | \(-0.825499\pi\) |
−0.165029 | + | 0.986289i | \(0.552772\pi\) | |||||||
\(942\) | 23.5508 | − | 47.9503i | 0.767327 | − | 1.56230i | ||||
\(943\) | −25.6004 | + | 14.6866i | −0.833663 | + | 0.478263i | ||||
\(944\) | 5.54898 | + | 1.44872i | 0.180604 | + | 0.0471518i | ||||
\(945\) | 7.55183 | − | 4.25806i | 0.245661 | − | 0.138515i | ||||
\(946\) | −50.3448 | − | 8.69098i | −1.63685 | − | 0.282568i | ||||
\(947\) | −6.25578 | + | 7.21955i | −0.203285 | + | 0.234604i | −0.848233 | − | 0.529623i | \(-0.822334\pi\) |
0.644948 | + | 0.764227i | \(0.276879\pi\) | |||||||
\(948\) | 3.38383 | + | 39.0170i | 0.109902 | + | 1.26721i | ||||
\(949\) | 12.4263 | + | 14.3407i | 0.403374 | + | 0.465518i | ||||
\(950\) | −6.61282 | − | 0.956997i | −0.214548 | − | 0.0310491i | ||||
\(951\) | 16.1572 | − | 55.0263i | 0.523933 | − | 1.78435i | ||||
\(952\) | −3.05029 | − | 3.13086i | −0.0988606 | − | 0.101472i | ||||
\(953\) | 5.95621 | − | 41.4263i | 0.192940 | − | 1.34193i | −0.631233 | − | 0.775593i | \(-0.717451\pi\) |
0.824174 | − | 0.566337i | \(-0.191640\pi\) | |||||||
\(954\) | 24.7321 | + | 30.2204i | 0.800730 | + | 0.978422i | ||||
\(955\) | −4.32623 | + | 12.0996i | −0.139994 | + | 0.391533i | ||||
\(956\) | 17.0943 | + | 30.2115i | 0.552870 | + | 0.977110i | ||||
\(957\) | −92.7652 | + | 59.6166i | −2.99867 | + | 1.92713i | ||||
\(958\) | −3.47374 | + | 3.78805i | −0.112231 | + | 0.122386i | ||||
\(959\) | 5.59878 | − | 0.804983i | 0.180794 | − | 0.0259943i | ||||
\(960\) | 46.4204 | + | 17.9757i | 1.49821 | + | 0.580162i | ||||
\(961\) | −5.48344 | − | 3.52399i | −0.176885 | − | 0.113677i | ||||
\(962\) | −52.3749 | + | 22.1595i | −1.68864 | + | 0.714450i | ||||
\(963\) | 3.41258 | + | 11.6222i | 0.109969 | + | 0.374520i | ||||
\(964\) | −38.3152 | − | 20.1762i | −1.23405 | − | 0.649831i | ||||
\(965\) | 1.23433 | + | 14.4846i | 0.0397346 | + | 0.466276i | ||||
\(966\) | 1.18255 | − | 15.0343i | 0.0380478 | − | 0.483721i | ||||
\(967\) | −10.2680 | −0.330195 | −0.165098 | − | 0.986277i | \(-0.552794\pi\) | ||||
−0.165098 | + | 0.986277i | \(0.552794\pi\) | |||||||
\(968\) | 19.9391 | + | 27.3721i | 0.640868 | + | 0.879772i | ||||
\(969\) | 4.87973 | − | 1.43282i | 0.156759 | − | 0.0460287i | ||||
\(970\) | −13.5680 | − | 25.7300i | −0.435643 | − | 0.826142i | ||||
\(971\) | −21.1780 | − | 13.6103i | −0.679635 | − | 0.436775i | 0.154752 | − | 0.987953i | \(-0.450542\pi\) |
−0.834388 | + | 0.551178i | \(0.814178\pi\) | |||||||
\(972\) | −6.55982 | + | 32.5127i | −0.210406 | + | 1.04285i | ||||
\(973\) | −1.24623 | − | 8.66769i | −0.0399522 | − | 0.277874i | ||||
\(974\) | −25.5673 | + | 27.8807i | −0.819230 | + | 0.893355i | ||||
\(975\) | −56.0535 | − | 61.2384i | −1.79515 | − | 1.96120i | ||||
\(976\) | 8.50533 | − | 20.2196i | 0.272249 | − | 0.647215i | ||||
\(977\) | 3.53978 | − | 7.75105i | 0.113248 | − | 0.247978i | −0.844518 | − | 0.535527i | \(-0.820113\pi\) |
0.957766 | + | 0.287549i | \(0.0928404\pi\) | |||||||
\(978\) | 13.0874 | + | 15.9916i | 0.418489 | + | 0.511356i | ||||
\(979\) | −29.1685 | − | 4.19380i | −0.932230 | − | 0.134034i | ||||
\(980\) | −27.5162 | − | 7.22794i | −0.878971 | − | 0.230888i | ||||
\(981\) | −27.4881 | + | 93.6159i | −0.877627 | + | 2.98892i | ||||
\(982\) | 3.43495 | − | 10.5867i | 0.109614 | − | 0.337834i | ||||
\(983\) | 25.9268 | − | 22.4657i | 0.826935 | − | 0.716543i | −0.134697 | − | 0.990887i | \(-0.543006\pi\) |
0.961632 | + | 0.274344i | \(0.0884605\pi\) | |||||||
\(984\) | −45.1592 | − | 17.5173i | −1.43962 | − | 0.558431i | ||||
\(985\) | 13.4857 | + | 9.81170i | 0.429690 | + | 0.312627i | ||||
\(986\) | −3.84685 | + | 22.2839i | −0.122509 | + | 0.709665i | ||||
\(987\) | 18.5228 | − | 8.45906i | 0.589586 | − | 0.269255i | ||||
\(988\) | −8.92399 | + | 6.89325i | −0.283910 | + | 0.219304i | ||||
\(989\) | −35.4749 | − | 6.93847i | −1.12803 | − | 0.220630i | ||||
\(990\) | −26.1025 | + | 66.9937i | −0.829592 | + | 2.12920i | ||||
\(991\) | −6.25675 | + | 2.85736i | −0.198752 | + | 0.0907671i | −0.512305 | − | 0.858804i | \(-0.671208\pi\) |
0.313552 | + | 0.949571i | \(0.398481\pi\) | |||||||
\(992\) | 14.3284 | − | 31.5480i | 0.454927 | − | 1.00165i | ||||
\(993\) | −22.1762 | − | 19.2158i | −0.703741 | − | 0.609795i | ||||
\(994\) | −9.44217 | + | 5.69919i | −0.299488 | + | 0.180767i | ||||
\(995\) | −10.1915 | − | 9.91774i | −0.323092 | − | 0.314413i | ||||
\(996\) | −22.7450 | − | 22.0678i | −0.720704 | − | 0.699246i | ||||
\(997\) | 4.05963 | − | 13.8258i | 0.128570 | − | 0.437868i | −0.869896 | − | 0.493234i | \(-0.835814\pi\) |
0.998466 | + | 0.0553664i | \(0.0176327\pi\) | |||||||
\(998\) | −31.5499 | + | 3.63330i | −0.998696 | + | 0.115010i | ||||
\(999\) | −4.65400 | + | 32.3693i | −0.147246 | + | 1.02412i |
(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 | 460.2.o.b.19.1 | ✓ | 640 | |
4.3 | odd | 2 | inner | 460.2.o.b.19.21 | yes | 640 | |
5.4 | even | 2 | inner | 460.2.o.b.19.64 | yes | 640 | |
20.19 | odd | 2 | inner | 460.2.o.b.19.44 | yes | 640 | |
23.17 | odd | 22 | inner | 460.2.o.b.339.44 | yes | 640 | |
92.63 | even | 22 | inner | 460.2.o.b.339.64 | yes | 640 | |
115.109 | odd | 22 | inner | 460.2.o.b.339.21 | yes | 640 | |
460.339 | even | 22 | inner | 460.2.o.b.339.1 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.o.b.19.1 | ✓ | 640 | 1.1 | even | 1 | trivial | |
460.2.o.b.19.21 | yes | 640 | 4.3 | odd | 2 | inner | |
460.2.o.b.19.44 | yes | 640 | 20.19 | odd | 2 | inner | |
460.2.o.b.19.64 | yes | 640 | 5.4 | even | 2 | inner | |
460.2.o.b.339.1 | yes | 640 | 460.339 | even | 22 | inner | |
460.2.o.b.339.21 | yes | 640 | 115.109 | odd | 22 | inner | |
460.2.o.b.339.44 | yes | 640 | 23.17 | odd | 22 | inner | |
460.2.o.b.339.64 | yes | 640 | 92.63 | even | 22 | inner |