Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,3,Mod(2,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.f (of order \(18\), degree \(6\), 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: | \(0.735696713773\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 11.4 | ||
Character | \(\chi\) | \(=\) | 27.11 |
Dual form | 27.3.f.a.5.4 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.837612 | − | 0.998227i | 0.418806 | − | 0.499113i | −0.514852 | − | 0.857279i | \(-0.672153\pi\) |
0.933658 | + | 0.358166i | \(0.116598\pi\) | |||||||
\(3\) | −0.987122 | − | 2.83295i | −0.329041 | − | 0.944316i | ||||
\(4\) | 0.399729 | + | 2.26698i | 0.0999324 | + | 0.566745i | ||||
\(5\) | 0.149473 | − | 0.410673i | 0.0298945 | − | 0.0821346i | −0.923848 | − | 0.382761i | \(-0.874973\pi\) |
0.953742 | + | 0.300626i | \(0.0971956\pi\) | |||||||
\(6\) | −3.65475 | − | 1.38754i | −0.609125 | − | 0.231256i | ||||
\(7\) | −1.05651 | + | 5.99176i | −0.150930 | + | 0.855965i | 0.811483 | + | 0.584376i | \(0.198660\pi\) |
−0.962413 | + | 0.271590i | \(0.912451\pi\) | |||||||
\(8\) | 7.11182 | + | 4.10601i | 0.888978 | + | 0.513251i | ||||
\(9\) | −7.05118 | + | 5.59293i | −0.783465 | + | 0.621436i | ||||
\(10\) | −0.284745 | − | 0.493192i | −0.0284745 | − | 0.0493192i | ||||
\(11\) | −5.19297 | − | 14.2676i | −0.472088 | − | 1.29705i | −0.916071 | − | 0.401016i | \(-0.868657\pi\) |
0.443983 | − | 0.896035i | \(-0.353565\pi\) | |||||||
\(12\) | 6.02765 | − | 3.37020i | 0.502304 | − | 0.280850i | ||||
\(13\) | −7.31452 | + | 6.13761i | −0.562655 | + | 0.472124i | −0.879199 | − | 0.476454i | \(-0.841922\pi\) |
0.316544 | + | 0.948578i | \(0.397477\pi\) | |||||||
\(14\) | 5.09619 | + | 6.07340i | 0.364013 | + | 0.433814i | ||||
\(15\) | −1.31096 | − | 0.0180641i | −0.0873975 | − | 0.00120427i | ||||
\(16\) | 1.40317 | − | 0.510714i | 0.0876984 | − | 0.0319196i | ||||
\(17\) | 4.20474 | − | 2.42761i | 0.247338 | − | 0.142800i | −0.371207 | − | 0.928550i | \(-0.621056\pi\) |
0.618545 | + | 0.785750i | \(0.287723\pi\) | |||||||
\(18\) | −0.323141 | + | 11.7234i | −0.0179523 | + | 0.651299i | ||||
\(19\) | 17.7795 | − | 30.7949i | 0.935761 | − | 1.62079i | 0.162490 | − | 0.986710i | \(-0.448048\pi\) |
0.773271 | − | 0.634075i | \(-0.218619\pi\) | |||||||
\(20\) | 0.990735 | + | 0.174693i | 0.0495367 | + | 0.00873466i | ||||
\(21\) | 18.0172 | − | 2.92156i | 0.857963 | − | 0.139122i | ||||
\(22\) | −18.5919 | − | 6.76692i | −0.845089 | − | 0.307587i | ||||
\(23\) | −26.7326 | + | 4.71368i | −1.16229 | + | 0.204943i | −0.721334 | − | 0.692587i | \(-0.756471\pi\) |
−0.440954 | + | 0.897530i | \(0.645360\pi\) | |||||||
\(24\) | 4.61188 | − | 24.2005i | 0.192162 | − | 1.00836i | ||||
\(25\) | 19.0048 | + | 15.9469i | 0.760192 | + | 0.637877i | ||||
\(26\) | 12.4425i | 0.478557i | ||||||||
\(27\) | 22.8048 | + | 14.4547i | 0.844624 | + | 0.535360i | ||||
\(28\) | −14.0055 | −0.500196 | ||||||||
\(29\) | −13.7480 | + | 16.3843i | −0.474070 | + | 0.564975i | −0.949092 | − | 0.314999i | \(-0.897996\pi\) |
0.475022 | + | 0.879974i | \(0.342440\pi\) | |||||||
\(30\) | −1.11611 | + | 1.29351i | −0.0372036 | + | 0.0431169i | ||||
\(31\) | −2.87818 | − | 16.3229i | −0.0928444 | − | 0.526547i | −0.995387 | − | 0.0959453i | \(-0.969413\pi\) |
0.902542 | − | 0.430601i | \(-0.141698\pi\) | |||||||
\(32\) | −10.5692 | + | 29.0386i | −0.330288 | + | 0.907458i | ||||
\(33\) | −35.2932 | + | 28.7952i | −1.06949 | + | 0.872582i | ||||
\(34\) | 1.09864 | − | 6.23067i | 0.0323128 | − | 0.183255i | ||||
\(35\) | 2.30273 | + | 1.32948i | 0.0657924 | + | 0.0379852i | ||||
\(36\) | −15.4976 | − | 13.7492i | −0.430489 | − | 0.381923i | ||||
\(37\) | 5.31270 | + | 9.20187i | 0.143587 | + | 0.248699i | 0.928845 | − | 0.370469i | \(-0.120803\pi\) |
−0.785258 | + | 0.619168i | \(0.787470\pi\) | |||||||
\(38\) | −15.8480 | − | 43.5421i | −0.417054 | − | 1.14585i | ||||
\(39\) | 24.6079 | + | 14.6631i | 0.630971 | + | 0.375976i | ||||
\(40\) | 2.74925 | − | 2.30689i | 0.0687313 | − | 0.0576724i | ||||
\(41\) | −14.1800 | − | 16.8991i | −0.345854 | − | 0.412173i | 0.564875 | − | 0.825176i | \(-0.308924\pi\) |
−0.910729 | + | 0.413003i | \(0.864480\pi\) | |||||||
\(42\) | 12.1751 | − | 20.4324i | 0.289882 | − | 0.486486i | ||||
\(43\) | 5.22687 | − | 1.90242i | 0.121555 | − | 0.0442424i | −0.280527 | − | 0.959846i | \(-0.590509\pi\) |
0.402082 | + | 0.915604i | \(0.368287\pi\) | |||||||
\(44\) | 30.2685 | − | 17.4755i | 0.687920 | − | 0.397171i | ||||
\(45\) | 1.24290 | + | 3.73172i | 0.0276201 | + | 0.0829271i | ||||
\(46\) | −17.6862 | + | 30.6334i | −0.384483 | + | 0.665945i | ||||
\(47\) | 85.0411 | + | 14.9950i | 1.80938 | + | 0.319043i | 0.973296 | − | 0.229552i | \(-0.0737262\pi\) |
0.836088 | + | 0.548595i | \(0.184837\pi\) | |||||||
\(48\) | −2.83193 | − | 3.47098i | −0.0589985 | − | 0.0723121i | ||||
\(49\) | 11.2600 | + | 4.09831i | 0.229796 | + | 0.0836389i | ||||
\(50\) | 31.8373 | − | 5.61377i | 0.636746 | − | 0.112275i | ||||
\(51\) | −11.0279 | − | 9.51546i | −0.216233 | − | 0.186578i | ||||
\(52\) | −16.8377 | − | 14.1285i | −0.323801 | − | 0.271701i | ||||
\(53\) | − | 31.9927i | − | 0.603635i | −0.953366 | − | 0.301818i | \(-0.902407\pi\) | ||
0.953366 | − | 0.301818i | \(-0.0975934\pi\) | |||||||
\(54\) | 33.5307 | − | 10.6570i | 0.620939 | − | 0.197351i | ||||
\(55\) | −6.63550 | −0.120646 | ||||||||
\(56\) | −32.1159 | + | 38.2743i | −0.573499 | + | 0.683469i | ||||
\(57\) | −104.791 | − | 19.9699i | −1.83844 | − | 0.350350i | ||||
\(58\) | 4.83970 | + | 27.4473i | 0.0834432 | + | 0.473230i | ||||
\(59\) | 18.5734 | − | 51.0301i | 0.314804 | − | 0.864917i | −0.676865 | − | 0.736107i | \(-0.736662\pi\) |
0.991669 | − | 0.128810i | \(-0.0411157\pi\) | |||||||
\(60\) | −0.483079 | − | 2.97914i | −0.00805132 | − | 0.0496524i | ||||
\(61\) | −5.68103 | + | 32.2187i | −0.0931316 | + | 0.528175i | 0.902172 | + | 0.431376i | \(0.141972\pi\) |
−0.995304 | + | 0.0967995i | \(0.969139\pi\) | |||||||
\(62\) | −18.7048 | − | 10.7992i | −0.301690 | − | 0.174181i | ||||
\(63\) | −26.0618 | − | 48.1579i | −0.413680 | − | 0.764412i | ||||
\(64\) | 23.1207 | + | 40.0463i | 0.361261 | + | 0.625723i | ||||
\(65\) | 1.42723 | + | 3.92128i | 0.0219574 | + | 0.0603274i | ||||
\(66\) | −0.817798 | + | 59.3498i | −0.0123909 | + | 0.899239i | ||||
\(67\) | 2.15848 | − | 1.81118i | 0.0322161 | − | 0.0270325i | −0.626537 | − | 0.779391i | \(-0.715528\pi\) |
0.658754 | + | 0.752359i | \(0.271084\pi\) | |||||||
\(68\) | 7.18409 | + | 8.56166i | 0.105648 | + | 0.125907i | ||||
\(69\) | 39.7420 | + | 71.0791i | 0.575970 | + | 1.03013i | ||||
\(70\) | 3.25592 | − | 1.18506i | 0.0465132 | − | 0.0169294i | ||||
\(71\) | −100.126 | + | 57.8080i | −1.41023 | + | 0.814197i | −0.995410 | − | 0.0957053i | \(-0.969489\pi\) |
−0.414822 | + | 0.909903i | \(0.636156\pi\) | |||||||
\(72\) | −73.1114 | + | 10.8237i | −1.01544 | + | 0.150329i | ||||
\(73\) | 1.01468 | − | 1.75747i | 0.0138997 | − | 0.0240750i | −0.858992 | − | 0.511989i | \(-0.828909\pi\) |
0.872892 | + | 0.487914i | \(0.162242\pi\) | |||||||
\(74\) | 13.6355 | + | 2.40431i | 0.184264 | + | 0.0324907i | ||||
\(75\) | 26.4167 | − | 69.5812i | 0.352223 | − | 0.927749i | ||||
\(76\) | 76.9184 | + | 27.9960i | 1.01208 | + | 0.368369i | ||||
\(77\) | 90.9741 | − | 16.0412i | 1.18148 | − | 0.208327i | ||||
\(78\) | 35.2489 | − | 12.2822i | 0.451909 | − | 0.157465i | ||||
\(79\) | −56.6568 | − | 47.5407i | −0.717175 | − | 0.601781i | 0.209427 | − | 0.977824i | \(-0.432840\pi\) |
−0.926602 | + | 0.376043i | \(0.877285\pi\) | |||||||
\(80\) | − | 0.652583i | − | 0.00815729i | ||||||
\(81\) | 18.4383 | − | 78.8735i | 0.227633 | − | 0.973747i | ||||
\(82\) | −28.7465 | −0.350567 | ||||||||
\(83\) | −79.5267 | + | 94.7762i | −0.958153 | + | 1.14188i | 0.0316583 | + | 0.999499i | \(0.489921\pi\) |
−0.989812 | + | 0.142384i | \(0.954523\pi\) | |||||||
\(84\) | 13.8251 | + | 39.6768i | 0.164585 | + | 0.472343i | ||||
\(85\) | −0.368459 | − | 2.08963i | −0.00433481 | − | 0.0245839i | ||||
\(86\) | 2.47903 | − | 6.81109i | 0.0288260 | − | 0.0791987i | ||||
\(87\) | 59.9868 | + | 22.7742i | 0.689503 | + | 0.261772i | ||||
\(88\) | 21.6513 | − | 122.791i | 0.246038 | − | 1.39535i | ||||
\(89\) | −31.0149 | − | 17.9065i | −0.348482 | − | 0.201196i | 0.315534 | − | 0.948914i | \(-0.397816\pi\) |
−0.664017 | + | 0.747718i | \(0.731150\pi\) | |||||||
\(90\) | 4.76617 | + | 1.88503i | 0.0529575 | + | 0.0209448i | ||||
\(91\) | −29.0472 | − | 50.3113i | −0.319200 | − | 0.552871i | ||||
\(92\) | −21.3716 | − | 58.7181i | −0.232300 | − | 0.638240i | ||||
\(93\) | −43.4009 | + | 24.2665i | −0.466677 | + | 0.260930i | ||||
\(94\) | 86.1998 | − | 72.3302i | 0.917020 | − | 0.769471i | ||||
\(95\) | −9.98910 | − | 11.9045i | −0.105148 | − | 0.125311i | ||||
\(96\) | 92.6980 | + | 1.27731i | 0.965605 | + | 0.0133053i | ||||
\(97\) | −75.5155 | + | 27.4854i | −0.778510 | + | 0.283354i | −0.700551 | − | 0.713602i | \(-0.747062\pi\) |
−0.0779587 | + | 0.996957i | \(0.524840\pi\) | |||||||
\(98\) | 13.5226 | − | 7.80725i | 0.137985 | − | 0.0796658i | ||||
\(99\) | 116.414 | + | 71.5592i | 1.17590 | + | 0.722821i | ||||
\(100\) | −28.5545 | + | 49.4579i | −0.285545 | + | 0.494579i | ||||
\(101\) | 83.6852 | + | 14.7560i | 0.828566 | + | 0.146099i | 0.571819 | − | 0.820380i | \(-0.306238\pi\) |
0.256747 | + | 0.966479i | \(0.417349\pi\) | |||||||
\(102\) | −18.7357 | + | 3.03806i | −0.183683 | + | 0.0297849i | ||||
\(103\) | −41.3939 | − | 15.0661i | −0.401882 | − | 0.146273i | 0.133168 | − | 0.991093i | \(-0.457485\pi\) |
−0.535050 | + | 0.844820i | \(0.679707\pi\) | |||||||
\(104\) | −77.2207 | + | 13.6161i | −0.742506 | + | 0.130924i | ||||
\(105\) | 1.49328 | − | 7.83588i | 0.0142217 | − | 0.0746274i | ||||
\(106\) | −31.9359 | − | 26.7974i | −0.301283 | − | 0.252806i | ||||
\(107\) | 55.1601i | 0.515515i | 0.966210 | + | 0.257757i | \(0.0829835\pi\) | ||||
−0.966210 | + | 0.257757i | \(0.917016\pi\) | |||||||
\(108\) | −23.6528 | + | 57.4761i | −0.219007 | + | 0.532186i | ||||
\(109\) | 107.480 | 0.986052 | 0.493026 | − | 0.870015i | \(-0.335891\pi\) | ||||
0.493026 | + | 0.870015i | \(0.335891\pi\) | |||||||
\(110\) | −5.55798 | + | 6.62374i | −0.0505271 | + | 0.0602158i | ||||
\(111\) | 20.8241 | − | 24.1340i | 0.187605 | − | 0.217423i | ||||
\(112\) | 1.57761 | + | 8.94705i | 0.0140858 | + | 0.0798844i | ||||
\(113\) | 9.42659 | − | 25.8994i | 0.0834212 | − | 0.229198i | −0.890968 | − | 0.454066i | \(-0.849973\pi\) |
0.974389 | + | 0.224868i | \(0.0721952\pi\) | |||||||
\(114\) | −107.709 | + | 87.8780i | −0.944812 | + | 0.770860i | ||||
\(115\) | −2.06001 | + | 11.6829i | −0.0179132 | + | 0.101591i | ||||
\(116\) | −42.6383 | − | 24.6172i | −0.367571 | − | 0.212217i | ||||
\(117\) | 17.2488 | − | 84.1870i | 0.147426 | − | 0.719547i | ||||
\(118\) | −35.3823 | − | 61.2839i | −0.299850 | − | 0.519355i | ||||
\(119\) | 10.1033 | + | 27.7586i | 0.0849016 | + | 0.233265i | ||||
\(120\) | −9.24916 | − | 5.51129i | −0.0770763 | − | 0.0459275i | ||||
\(121\) | −83.9049 | + | 70.4046i | −0.693429 | + | 0.581856i | ||||
\(122\) | 27.4031 | + | 32.6577i | 0.224615 | + | 0.267686i | ||||
\(123\) | −33.8768 | + | 56.8527i | −0.275421 | + | 0.462217i | ||||
\(124\) | 35.8533 | − | 13.0495i | 0.289139 | − | 0.105238i | ||||
\(125\) | 18.8516 | − | 10.8840i | 0.150813 | − | 0.0870719i | ||||
\(126\) | −69.9022 | − | 14.3220i | −0.554780 | − | 0.113667i | ||||
\(127\) | −63.8772 | + | 110.639i | −0.502970 | + | 0.871170i | 0.497024 | + | 0.867737i | \(0.334426\pi\) |
−0.999994 | + | 0.00343329i | \(0.998907\pi\) | |||||||
\(128\) | −62.3898 | − | 11.0010i | −0.487420 | − | 0.0859453i | ||||
\(129\) | −10.5490 | − | 12.9295i | −0.0817753 | − | 0.100229i | ||||
\(130\) | 5.10979 | + | 1.85981i | 0.0393061 | + | 0.0143062i | ||||
\(131\) | −47.4027 | + | 8.35837i | −0.361853 | + | 0.0638044i | −0.351619 | − | 0.936143i | \(-0.614369\pi\) |
−0.0102338 | + | 0.999948i | \(0.503258\pi\) | |||||||
\(132\) | −79.3858 | − | 68.4985i | −0.601408 | − | 0.518928i | ||||
\(133\) | 165.732 | + | 139.065i | 1.24610 | + | 1.04560i | ||||
\(134\) | − | 3.67171i | − | 0.0274008i | ||||||
\(135\) | 9.34486 | − | 7.20474i | 0.0692212 | − | 0.0533685i | ||||
\(136\) | 39.8711 | 0.293170 | ||||||||
\(137\) | 88.4468 | − | 105.407i | 0.645597 | − | 0.769393i | −0.339646 | − | 0.940553i | \(-0.610307\pi\) |
0.985243 | + | 0.171161i | \(0.0547517\pi\) | |||||||
\(138\) | 104.241 | + | 19.8652i | 0.755373 | + | 0.143951i | ||||
\(139\) | −15.8704 | − | 90.0056i | −0.114176 | − | 0.647522i | −0.987155 | − | 0.159765i | \(-0.948926\pi\) |
0.872979 | − | 0.487757i | \(-0.162185\pi\) | |||||||
\(140\) | −2.09344 | + | 5.75168i | −0.0149531 | + | 0.0410834i | ||||
\(141\) | −41.4657 | − | 255.719i | −0.294083 | − | 1.81361i | ||||
\(142\) | −26.1616 | + | 148.370i | −0.184236 | + | 1.04486i | ||||
\(143\) | 125.553 | + | 72.4879i | 0.877992 | + | 0.506909i | ||||
\(144\) | −7.03765 | + | 11.4490i | −0.0488726 | + | 0.0795069i | ||||
\(145\) | 4.67362 | + | 8.09495i | 0.0322319 | + | 0.0558272i | ||||
\(146\) | −0.904450 | − | 2.48496i | −0.00619486 | − | 0.0170202i | ||||
\(147\) | 0.495290 | − | 35.9445i | 0.00336932 | − | 0.244521i | ||||
\(148\) | −18.7368 | + | 15.7220i | −0.126600 | + | 0.106230i | ||||
\(149\) | 20.4955 | + | 24.4256i | 0.137554 | + | 0.163930i | 0.830424 | − | 0.557132i | \(-0.188098\pi\) |
−0.692870 | + | 0.721063i | \(0.743654\pi\) | |||||||
\(150\) | −47.3308 | − | 84.6519i | −0.315539 | − | 0.564346i | ||||
\(151\) | 134.276 | − | 48.8723i | 0.889243 | − | 0.323658i | 0.143309 | − | 0.989678i | \(-0.454226\pi\) |
0.745934 | + | 0.666020i | \(0.232004\pi\) | |||||||
\(152\) | 252.889 | − | 146.005i | 1.66374 | − | 0.960561i | ||||
\(153\) | −16.0709 | + | 40.6343i | −0.105039 | + | 0.265584i | ||||
\(154\) | 60.1883 | − | 104.249i | 0.390833 | − | 0.676942i | ||||
\(155\) | −7.13360 | − | 1.25785i | −0.0460232 | − | 0.00811513i | ||||
\(156\) | −23.4044 | + | 61.6467i | −0.150028 | + | 0.395171i | ||||
\(157\) | −90.6571 | − | 32.9965i | −0.577434 | − | 0.210169i | 0.0367596 | − | 0.999324i | \(-0.488296\pi\) |
−0.614194 | + | 0.789155i | \(0.710519\pi\) | |||||||
\(158\) | −94.9128 | + | 16.7357i | −0.600714 | + | 0.105922i | ||||
\(159\) | −90.6336 | + | 31.5807i | −0.570022 | + | 0.198621i | ||||
\(160\) | 10.3456 | + | 8.68097i | 0.0646598 | + | 0.0542561i | ||||
\(161\) | − | 165.155i | − | 1.02581i | ||||||
\(162\) | −63.2895 | − | 84.4710i | −0.390676 | − | 0.521426i | ||||
\(163\) | −39.2776 | −0.240967 | −0.120483 | − | 0.992715i | \(-0.538444\pi\) | ||||
−0.120483 | + | 0.992715i | \(0.538444\pi\) | |||||||
\(164\) | 32.6417 | − | 38.9008i | 0.199035 | − | 0.237200i | ||||
\(165\) | 6.55005 | + | 18.7980i | 0.0396973 | + | 0.113927i | ||||
\(166\) | 27.9957 | + | 158.771i | 0.168649 | + | 0.956454i | ||||
\(167\) | −44.6849 | + | 122.771i | −0.267574 | + | 0.735155i | 0.731030 | + | 0.682345i | \(0.239040\pi\) |
−0.998605 | + | 0.0528097i | \(0.983182\pi\) | |||||||
\(168\) | 140.131 | + | 53.2013i | 0.834115 | + | 0.316675i | ||||
\(169\) | −13.5146 | + | 76.6451i | −0.0799681 | + | 0.453522i | ||||
\(170\) | −2.39455 | − | 1.38250i | −0.0140856 | − | 0.00813233i | ||||
\(171\) | 46.8676 | + | 316.580i | 0.274080 | + | 1.85134i | ||||
\(172\) | 6.40208 | + | 11.0887i | 0.0372214 | + | 0.0644694i | ||||
\(173\) | −29.3429 | − | 80.6190i | −0.169612 | − | 0.466006i | 0.825541 | − | 0.564342i | \(-0.190870\pi\) |
−0.995153 | + | 0.0983363i | \(0.968648\pi\) | |||||||
\(174\) | 72.9794 | − | 40.8045i | 0.419422 | − | 0.234508i | ||||
\(175\) | −115.629 | + | 97.0241i | −0.660736 | + | 0.554423i | ||||
\(176\) | −14.5733 | − | 17.3678i | −0.0828027 | − | 0.0986804i | ||||
\(177\) | −162.900 | − | 2.24464i | −0.920338 | − | 0.0126816i | ||||
\(178\) | −43.8532 | + | 15.9612i | −0.246366 | + | 0.0896699i | ||||
\(179\) | −217.959 | + | 125.838i | −1.21765 | + | 0.703008i | −0.964414 | − | 0.264397i | \(-0.914827\pi\) |
−0.253232 | + | 0.967406i | \(0.581494\pi\) | |||||||
\(180\) | −7.96290 | + | 4.30932i | −0.0442383 | + | 0.0239406i | ||||
\(181\) | 113.776 | − | 197.066i | 0.628596 | − | 1.08876i | −0.359238 | − | 0.933246i | \(-0.616963\pi\) |
0.987834 | − | 0.155514i | \(-0.0497034\pi\) | |||||||
\(182\) | −74.5523 | − | 13.1456i | −0.409628 | − | 0.0722285i | ||||
\(183\) | 96.8817 | − | 15.7097i | 0.529408 | − | 0.0858455i | ||||
\(184\) | −209.472 | − | 76.2416i | −1.13843 | − | 0.414356i | ||||
\(185\) | 4.57306 | − | 0.806354i | 0.0247193 | − | 0.00435867i | ||||
\(186\) | −12.1297 | + | 63.6498i | −0.0652135 | + | 0.342203i | ||||
\(187\) | −56.4711 | − | 47.3849i | −0.301984 | − | 0.253395i | ||||
\(188\) | 198.780i | 1.05734i | ||||||||
\(189\) | −110.703 | + | 121.370i | −0.585728 | + | 0.642167i | ||||
\(190\) | −20.2504 | −0.106581 | ||||||||
\(191\) | 116.260 | − | 138.553i | 0.608689 | − | 0.725407i | −0.370393 | − | 0.928875i | \(-0.620777\pi\) |
0.979082 | + | 0.203468i | \(0.0652214\pi\) | |||||||
\(192\) | 90.6260 | − | 105.030i | 0.472010 | − | 0.547033i | ||||
\(193\) | −33.7774 | − | 191.561i | −0.175012 | − | 0.992545i | −0.938130 | − | 0.346285i | \(-0.887443\pi\) |
0.763117 | − | 0.646260i | \(-0.223668\pi\) | |||||||
\(194\) | −35.8160 | + | 98.4036i | −0.184619 | + | 0.507235i | ||||
\(195\) | 9.69993 | − | 7.91405i | 0.0497432 | − | 0.0405848i | ||||
\(196\) | −4.78982 | + | 27.1644i | −0.0244378 | + | 0.138594i | ||||
\(197\) | 224.675 | + | 129.716i | 1.14048 | + | 0.658457i | 0.946550 | − | 0.322558i | \(-0.104543\pi\) |
0.193931 | + | 0.981015i | \(0.437876\pi\) | |||||||
\(198\) | 168.942 | − | 56.2687i | 0.853243 | − | 0.284185i | ||||
\(199\) | −52.3841 | − | 90.7319i | −0.263237 | − | 0.455939i | 0.703864 | − | 0.710335i | \(-0.251457\pi\) |
−0.967100 | + | 0.254396i | \(0.918123\pi\) | |||||||
\(200\) | 69.6805 | + | 191.446i | 0.348402 | + | 0.957228i | ||||
\(201\) | −7.26165 | − | 4.32700i | −0.0361276 | − | 0.0215274i | ||||
\(202\) | 84.8255 | − | 71.1770i | 0.419928 | − | 0.352361i | ||||
\(203\) | −83.6457 | − | 99.6850i | −0.412048 | − | 0.491059i | ||||
\(204\) | 17.1632 | − | 28.8036i | 0.0841332 | − | 0.141194i | ||||
\(205\) | −9.05952 | + | 3.29740i | −0.0441928 | + | 0.0160849i | ||||
\(206\) | −49.7114 | + | 28.7009i | −0.241318 | + | 0.139325i | ||||
\(207\) | 162.133 | − | 182.751i | 0.783252 | − | 0.882853i | ||||
\(208\) | −7.12899 | + | 12.3478i | −0.0342740 | + | 0.0593643i | ||||
\(209\) | −531.697 | − | 93.7525i | −2.54400 | − | 0.448576i | ||||
\(210\) | −6.57120 | − | 8.05406i | −0.0312914 | − | 0.0383526i | ||||
\(211\) | 278.129 | + | 101.231i | 1.31815 | + | 0.479766i | 0.902864 | − | 0.429927i | \(-0.141461\pi\) |
0.415282 | + | 0.909693i | \(0.363683\pi\) | |||||||
\(212\) | 72.5267 | − | 12.7884i | 0.342107 | − | 0.0603227i | ||||
\(213\) | 262.604 | + | 226.589i | 1.23288 | + | 1.06380i | ||||
\(214\) | 55.0623 | + | 46.2027i | 0.257300 | + | 0.215901i | ||||
\(215\) | − | 2.43089i | − | 0.0113065i | ||||||
\(216\) | 102.833 | + | 196.436i | 0.476077 | + | 0.909428i | ||||
\(217\) | 100.844 | 0.464719 | ||||||||
\(218\) | 90.0263 | − | 107.289i | 0.412964 | − | 0.492152i | ||||
\(219\) | −5.98043 | − | 1.13969i | −0.0273079 | − | 0.00520405i | ||||
\(220\) | −2.65241 | − | 15.0425i | −0.0120564 | − | 0.0683752i | ||||
\(221\) | −15.8559 | + | 43.5638i | −0.0717463 | + | 0.197121i | ||||
\(222\) | −6.64864 | − | 41.0021i | −0.0299488 | − | 0.184694i | ||||
\(223\) | 52.9900 | − | 300.521i | 0.237623 | − | 1.34763i | −0.599395 | − | 0.800454i | \(-0.704592\pi\) |
0.837018 | − | 0.547175i | \(-0.184297\pi\) | |||||||
\(224\) | −162.826 | − | 94.0077i | −0.726902 | − | 0.419677i | ||||
\(225\) | −223.196 | − | 6.15214i | −0.991983 | − | 0.0273428i | ||||
\(226\) | −17.9576 | − | 31.1035i | −0.0794584 | − | 0.137626i | ||||
\(227\) | 32.4874 | + | 89.2585i | 0.143116 | + | 0.393209i | 0.990454 | − | 0.137846i | \(-0.0440179\pi\) |
−0.847337 | + | 0.531055i | \(0.821796\pi\) | |||||||
\(228\) | 3.38338 | − | 245.541i | 0.0148394 | − | 1.07694i | ||||
\(229\) | 88.1475 | − | 73.9645i | 0.384924 | − | 0.322989i | −0.429708 | − | 0.902968i | \(-0.641384\pi\) |
0.814632 | + | 0.579979i | \(0.196939\pi\) | |||||||
\(230\) | 9.93672 | + | 11.8421i | 0.0432031 | + | 0.0514875i | ||||
\(231\) | −135.246 | − | 241.890i | −0.585482 | − | 1.04714i | ||||
\(232\) | −165.048 | + | 60.0724i | −0.711412 | + | 0.258933i | ||||
\(233\) | 36.3210 | − | 20.9700i | 0.155884 | − | 0.0899998i | −0.420029 | − | 0.907511i | \(-0.637980\pi\) |
0.575913 | + | 0.817511i | \(0.304647\pi\) | |||||||
\(234\) | −69.5899 | − | 87.7342i | −0.297393 | − | 0.374933i | ||||
\(235\) | 18.8694 | − | 32.6827i | 0.0802952 | − | 0.139075i | ||||
\(236\) | 123.108 | + | 21.7073i | 0.521646 | + | 0.0919802i | ||||
\(237\) | −78.7532 | + | 207.434i | −0.332292 | + | 0.875250i | ||||
\(238\) | 36.1720 | + | 13.1655i | 0.151983 | + | 0.0553173i | ||||
\(239\) | 31.7098 | − | 5.59129i | 0.132677 | − | 0.0233945i | −0.106915 | − | 0.994268i | \(-0.534097\pi\) |
0.239592 | + | 0.970874i | \(0.422986\pi\) | |||||||
\(240\) | −1.84873 | + | 0.644179i | −0.00770306 | + | 0.00268408i | ||||
\(241\) | −109.710 | − | 92.0576i | −0.455228 | − | 0.381982i | 0.386143 | − | 0.922439i | \(-0.373807\pi\) |
−0.841372 | + | 0.540457i | \(0.818251\pi\) | |||||||
\(242\) | 142.728i | 0.589785i | ||||||||
\(243\) | −241.645 | + | 25.6230i | −0.994425 | + | 0.105444i | ||||
\(244\) | −75.3100 | −0.308647 | ||||||||
\(245\) | 3.36613 | − | 4.01159i | 0.0137393 | − | 0.0163738i | ||||
\(246\) | 28.3763 | + | 81.4372i | 0.115351 | + | 0.331046i | ||||
\(247\) | 58.9591 | + | 334.374i | 0.238701 | + | 1.35374i | ||||
\(248\) | 46.5531 | − | 127.904i | 0.187714 | − | 0.515741i | ||||
\(249\) | 346.999 | + | 131.739i | 1.39357 | + | 0.529073i | ||||
\(250\) | 4.92565 | − | 27.9347i | 0.0197026 | − | 0.111739i | ||||
\(251\) | −192.508 | − | 111.145i | −0.766965 | − | 0.442808i | 0.0648257 | − | 0.997897i | \(-0.479351\pi\) |
−0.831791 | + | 0.555089i | \(0.812684\pi\) | |||||||
\(252\) | 98.7553 | − | 78.3317i | 0.391886 | − | 0.310840i | ||||
\(253\) | 206.074 | + | 356.931i | 0.814523 | + | 1.41080i | ||||
\(254\) | 56.9381 | + | 156.436i | 0.224166 | + | 0.615890i | ||||
\(255\) | −5.55611 | + | 3.10655i | −0.0217887 | + | 0.0121825i | ||||
\(256\) | −204.932 | + | 171.958i | −0.800515 | + | 0.671712i | ||||
\(257\) | 142.619 | + | 169.967i | 0.554938 | + | 0.661349i | 0.968467 | − | 0.249142i | \(-0.0801485\pi\) |
−0.413529 | + | 0.910491i | \(0.635704\pi\) | |||||||
\(258\) | −21.7426 | − | 0.299597i | −0.0842735 | − | 0.00116123i | ||||
\(259\) | −60.7483 | + | 22.1106i | −0.234549 | + | 0.0853690i | ||||
\(260\) | −8.31895 | + | 4.80295i | −0.0319960 | + | 0.0184729i | ||||
\(261\) | 5.30383 | − | 192.420i | 0.0203212 | − | 0.737242i | ||||
\(262\) | −31.3615 | + | 54.3197i | −0.119700 | + | 0.207327i | ||||
\(263\) | 67.4052 | + | 11.8853i | 0.256293 | + | 0.0451914i | 0.300318 | − | 0.953839i | \(-0.402907\pi\) |
−0.0440251 | + | 0.999030i | \(0.514018\pi\) | |||||||
\(264\) | −369.232 | + | 59.8724i | −1.39861 | + | 0.226789i | ||||
\(265\) | −13.1385 | − | 4.78203i | −0.0495793 | − | 0.0180454i | ||||
\(266\) | 277.637 | − | 48.9550i | 1.04375 | − | 0.184041i | ||||
\(267\) | −20.1126 | + | 105.539i | −0.0753280 | + | 0.395279i | ||||
\(268\) | 4.96871 | + | 4.16924i | 0.0185399 | + | 0.0155569i | ||||
\(269\) | − | 334.017i | − | 1.24170i | −0.783930 | − | 0.620850i | \(-0.786788\pi\) | ||
0.783930 | − | 0.620850i | \(-0.213212\pi\) | |||||||
\(270\) | 0.635398 | − | 15.3631i | 0.00235333 | − | 0.0569003i | ||||
\(271\) | −427.090 | −1.57598 | −0.787988 | − | 0.615690i | \(-0.788877\pi\) | ||||
−0.787988 | + | 0.615690i | \(0.788877\pi\) | |||||||
\(272\) | 4.66017 | − | 5.55377i | 0.0171330 | − | 0.0204183i | ||||
\(273\) | −113.856 | + | 131.953i | −0.417055 | + | 0.483343i | ||||
\(274\) | −31.1358 | − | 176.580i | −0.113634 | − | 0.644452i | ||||
\(275\) | 128.832 | − | 353.964i | 0.468481 | − | 1.28714i | ||||
\(276\) | −145.249 | + | 118.507i | −0.526264 | + | 0.429372i | ||||
\(277\) | −48.4044 | + | 274.515i | −0.174745 | + | 0.991029i | 0.763693 | + | 0.645580i | \(0.223384\pi\) |
−0.938438 | + | 0.345449i | \(0.887727\pi\) | |||||||
\(278\) | −103.139 | − | 59.5474i | −0.371004 | − | 0.214199i | ||||
\(279\) | 111.588 | + | 98.9986i | 0.399956 | + | 0.354834i | ||||
\(280\) | 10.9177 | + | 18.9101i | 0.0389920 | + | 0.0675360i | ||||
\(281\) | 144.336 | + | 396.560i | 0.513652 | + | 1.41125i | 0.877405 | + | 0.479751i | \(0.159273\pi\) |
−0.363753 | + | 0.931495i | \(0.618505\pi\) | |||||||
\(282\) | −289.998 | − | 172.801i | −1.02836 | − | 0.612769i | ||||
\(283\) | 357.527 | − | 300.000i | 1.26335 | − | 1.06007i | 0.268028 | − | 0.963411i | \(-0.413628\pi\) |
0.995317 | − | 0.0966612i | \(-0.0308163\pi\) | |||||||
\(284\) | −171.073 | − | 203.877i | −0.602370 | − | 0.717876i | ||||
\(285\) | −23.8645 | + | 40.0498i | −0.0837350 | + | 0.140526i | ||||
\(286\) | 177.524 | − | 64.6134i | 0.620713 | − | 0.225921i | ||||
\(287\) | 116.237 | − | 67.1092i | 0.405005 | − | 0.233830i | ||||
\(288\) | −87.8857 | − | 263.870i | −0.305159 | − | 0.916214i | ||||
\(289\) | −132.713 | + | 229.866i | −0.459216 | + | 0.795386i | ||||
\(290\) | 11.9953 | + | 2.11509i | 0.0413630 | + | 0.00729341i | ||||
\(291\) | 152.408 | + | 186.800i | 0.523737 | + | 0.641924i | ||||
\(292\) | 4.38975 | + | 1.59774i | 0.0150334 | + | 0.00547170i | ||||
\(293\) | −10.8019 | + | 1.90467i | −0.0368667 | + | 0.00650060i | −0.192051 | − | 0.981385i | \(-0.561514\pi\) |
0.155184 | + | 0.987886i | \(0.450403\pi\) | |||||||
\(294\) | −35.4659 | − | 30.6020i | −0.120632 | − | 0.104088i | ||||
\(295\) | −18.1804 | − | 15.2552i | −0.0616286 | − | 0.0517126i | ||||
\(296\) | 87.2561i | 0.294784i | ||||||||
\(297\) | 87.8088 | − | 400.432i | 0.295652 | − | 1.34826i | ||||
\(298\) | 41.5496 | 0.139428 | ||||||||
\(299\) | 166.606 | − | 198.553i | 0.557209 | − | 0.664056i | ||||
\(300\) | 168.298 | + | 32.0725i | 0.560995 | + | 0.106908i | ||||
\(301\) | 5.87663 | + | 33.3280i | 0.0195237 | + | 0.110724i | ||||
\(302\) | 63.6852 | − | 174.974i | 0.210878 | − | 0.579383i | ||||
\(303\) | −40.8046 | − | 251.642i | −0.134669 | − | 0.830500i | ||||
\(304\) | 9.22029 | − | 52.2909i | 0.0303299 | − | 0.172009i | ||||
\(305\) | 12.3822 | + | 7.14886i | 0.0405973 | + | 0.0234389i | ||||
\(306\) | 27.1010 | + | 50.0782i | 0.0885655 | + | 0.163654i | ||||
\(307\) | 141.354 | + | 244.833i | 0.460437 | + | 0.797500i | 0.998983 | − | 0.0450961i | \(-0.0143594\pi\) |
−0.538546 | + | 0.842596i | \(0.681026\pi\) | |||||||
\(308\) | 72.7301 | + | 199.824i | 0.236137 | + | 0.648780i | ||||
\(309\) | −1.82078 | + | 132.139i | −0.00589248 | + | 0.427634i | ||||
\(310\) | −7.23080 | + | 6.06736i | −0.0233252 | + | 0.0195721i | ||||
\(311\) | 46.9989 | + | 56.0112i | 0.151122 | + | 0.180100i | 0.836294 | − | 0.548281i | \(-0.184718\pi\) |
−0.685172 | + | 0.728381i | \(0.740273\pi\) | |||||||
\(312\) | 114.800 | + | 205.321i | 0.367948 | + | 0.658081i | ||||
\(313\) | 155.274 | − | 56.5151i | 0.496083 | − | 0.180559i | −0.0818487 | − | 0.996645i | \(-0.526082\pi\) |
0.577931 | + | 0.816085i | \(0.303860\pi\) | |||||||
\(314\) | −108.873 | + | 62.8581i | −0.346731 | + | 0.200185i | ||||
\(315\) | −23.6727 | + | 3.50459i | −0.0751514 | + | 0.0111257i | ||||
\(316\) | 85.1264 | − | 147.443i | 0.269387 | − | 0.466592i | ||||
\(317\) | −154.623 | − | 27.2643i | −0.487771 | − | 0.0860072i | −0.0756464 | − | 0.997135i | \(-0.524102\pi\) |
−0.412124 | + | 0.911128i | \(0.635213\pi\) | |||||||
\(318\) | −44.3911 | + | 116.925i | −0.139595 | + | 0.367689i | ||||
\(319\) | 305.157 | + | 111.068i | 0.956604 | + | 0.348175i | ||||
\(320\) | 19.9018 | − | 3.50923i | 0.0621932 | − | 0.0109663i | ||||
\(321\) | 156.266 | − | 54.4497i | 0.486809 | − | 0.169625i | ||||
\(322\) | −164.863 | − | 138.336i | −0.511995 | − | 0.429615i | ||||
\(323\) | − | 172.646i | − | 0.534508i | ||||||
\(324\) | 186.175 | + | 10.2712i | 0.574614 | + | 0.0317012i | ||||
\(325\) | −236.887 | −0.728883 | ||||||||
\(326\) | −32.8993 | + | 39.2079i | −0.100918 | + | 0.120270i | ||||
\(327\) | −106.096 | − | 304.484i | −0.324451 | − | 0.931145i | ||||
\(328\) | −31.4579 | − | 178.407i | −0.0959082 | − | 0.543923i | ||||
\(329\) | −179.693 | + | 493.703i | −0.546180 | + | 1.50062i | ||||
\(330\) | 24.2511 | + | 9.20702i | 0.0734882 | + | 0.0279001i | ||||
\(331\) | 84.5010 | − | 479.229i | 0.255290 | − | 1.44782i | −0.540037 | − | 0.841641i | \(-0.681590\pi\) |
0.795327 | − | 0.606181i | \(-0.207299\pi\) | |||||||
\(332\) | −246.645 | − | 142.400i | −0.742906 | − | 0.428917i | ||||
\(333\) | −88.9262 | − | 35.1705i | −0.267046 | − | 0.105617i | ||||
\(334\) | 85.1245 | + | 147.440i | 0.254864 | + | 0.441437i | ||||
\(335\) | −0.421168 | − | 1.15715i | −0.00125722 | − | 0.00345418i | ||||
\(336\) | 23.7892 | − | 13.3011i | 0.0708013 | − | 0.0395866i | ||||
\(337\) | −45.4491 | + | 38.1364i | −0.134864 | + | 0.113164i | −0.707724 | − | 0.706489i | \(-0.750278\pi\) |
0.572860 | + | 0.819653i | \(0.305834\pi\) | |||||||
\(338\) | 65.1892 | + | 77.6895i | 0.192868 | + | 0.229851i | ||||
\(339\) | −82.6767 | − | 1.13923i | −0.243884 | − | 0.00336055i | ||||
\(340\) | 4.58987 | − | 1.67058i | 0.0134996 | − | 0.00491346i | ||||
\(341\) | −217.942 | + | 125.829i | −0.639127 | + | 0.369000i | ||||
\(342\) | 355.275 | + | 218.386i | 1.03882 | + | 0.638557i | ||||
\(343\) | −185.515 | + | 321.321i | −0.540860 | + | 0.936797i | ||||
\(344\) | 44.9839 | + | 7.93188i | 0.130767 | + | 0.0230578i | ||||
\(345\) | 35.1306 | − | 5.69656i | 0.101828 | − | 0.0165118i | ||||
\(346\) | −105.054 | − | 38.2365i | −0.303624 | − | 0.110510i | ||||
\(347\) | −594.208 | + | 104.775i | −1.71241 | + | 0.301945i | −0.942003 | − | 0.335603i | \(-0.891060\pi\) |
−0.770411 | + | 0.637548i | \(0.779949\pi\) | |||||||
\(348\) | −27.6501 | + | 145.092i | −0.0794544 | + | 0.416932i | ||||
\(349\) | −300.078 | − | 251.795i | −0.859823 | − | 0.721477i | 0.102107 | − | 0.994773i | \(-0.467442\pi\) |
−0.961930 | + | 0.273296i | \(0.911886\pi\) | |||||||
\(350\) | 196.692i | 0.561978i | ||||||||
\(351\) | −255.524 | + | 34.2379i | −0.727989 | + | 0.0975439i | ||||
\(352\) | 469.196 | 1.33294 | ||||||||
\(353\) | −305.847 | + | 364.494i | −0.866422 | + | 1.03256i | 0.132720 | + | 0.991154i | \(0.457629\pi\) |
−0.999142 | + | 0.0414082i | \(0.986816\pi\) | |||||||
\(354\) | −138.687 | + | 160.731i | −0.391772 | + | 0.454042i | ||||
\(355\) | 8.77402 | + | 49.7599i | 0.0247155 | + | 0.140169i | ||||
\(356\) | 28.1960 | − | 77.4679i | 0.0792022 | − | 0.217606i | ||||
\(357\) | 68.6654 | − | 56.0232i | 0.192340 | − | 0.156928i | ||||
\(358\) | −56.9494 | + | 322.976i | −0.159076 | + | 0.902167i | ||||
\(359\) | 570.105 | + | 329.150i | 1.58804 | + | 0.916853i | 0.993631 | + | 0.112687i | \(0.0359457\pi\) |
0.594405 | + | 0.804166i | \(0.297388\pi\) | |||||||
\(360\) | −6.48316 | + | 31.6427i | −0.0180088 | + | 0.0878964i | ||||
\(361\) | −451.718 | − | 782.399i | −1.25130 | − | 2.16731i | ||||
\(362\) | −101.416 | − | 278.639i | −0.280155 | − | 0.769720i | ||||
\(363\) | 282.277 | + | 168.200i | 0.777622 | + | 0.463362i | ||||
\(364\) | 102.443 | − | 85.9603i | 0.281438 | − | 0.236155i | ||||
\(365\) | −0.570079 | − | 0.679394i | −0.00156186 | − | 0.00186135i | ||||
\(366\) | 65.4674 | − | 109.869i | 0.178873 | − | 0.300187i | ||||
\(367\) | −359.501 | + | 130.848i | −0.979566 | + | 0.356533i | −0.781671 | − | 0.623690i | \(-0.785633\pi\) |
−0.197895 | + | 0.980223i | \(0.563410\pi\) | |||||||
\(368\) | −35.1032 | + | 20.2668i | −0.0953891 | + | 0.0550729i | ||||
\(369\) | 194.501 | + | 39.8507i | 0.527104 | + | 0.107996i | ||||
\(370\) | 3.02553 | − | 5.24036i | 0.00817710 | − | 0.0141631i | ||||
\(371\) | 191.692 | + | 33.8005i | 0.516691 | + | 0.0911066i | ||||
\(372\) | −72.3602 | − | 88.6890i | −0.194517 | − | 0.238411i | ||||
\(373\) | −298.430 | − | 108.620i | −0.800080 | − | 0.291205i | −0.0905601 | − | 0.995891i | \(-0.528866\pi\) |
−0.709519 | + | 0.704686i | \(0.751088\pi\) | |||||||
\(374\) | −94.6017 | + | 16.6808i | −0.252946 | + | 0.0446012i | ||||
\(375\) | −49.4426 | − | 42.6618i | −0.131847 | − | 0.113765i | ||||
\(376\) | 543.227 | + | 455.822i | 1.44475 | + | 1.21229i | ||||
\(377\) | − | 204.223i | − | 0.541706i | ||||||
\(378\) | 28.4285 | + | 212.167i | 0.0752076 | + | 0.561288i | ||||
\(379\) | 276.424 | 0.729350 | 0.364675 | − | 0.931135i | \(-0.381180\pi\) | ||||
0.364675 | + | 0.931135i | \(0.381180\pi\) | |||||||
\(380\) | 22.9944 | − | 27.4037i | 0.0605116 | − | 0.0721149i | ||||
\(381\) | 376.488 | + | 71.7470i | 0.988157 | + | 0.188312i | ||||
\(382\) | −40.9267 | − | 232.107i | −0.107138 | − | 0.607609i | ||||
\(383\) | 119.425 | − | 328.118i | 0.311816 | − | 0.856706i | −0.680475 | − | 0.732771i | \(-0.738226\pi\) |
0.992290 | − | 0.123935i | \(-0.0395513\pi\) | |||||||
\(384\) | 30.4211 | + | 187.606i | 0.0792215 | + | 0.488558i | ||||
\(385\) | 7.01047 | − | 39.7583i | 0.0182090 | − | 0.103268i | ||||
\(386\) | −219.514 | − | 126.736i | −0.568689 | − | 0.328333i | ||||
\(387\) | −26.2155 | + | 42.6478i | −0.0677402 | + | 0.110201i | ||||
\(388\) | −92.4945 | − | 160.205i | −0.238388 | − | 0.412900i | ||||
\(389\) | −144.629 | − | 397.365i | −0.371797 | − | 1.02150i | −0.974666 | − | 0.223664i | \(-0.928198\pi\) |
0.602869 | − | 0.797840i | \(-0.294024\pi\) | |||||||
\(390\) | 0.224763 | − | 16.3116i | 0.000576314 | − | 0.0418247i | ||||
\(391\) | −100.961 | + | 84.7161i | −0.258212 | + | 0.216665i | ||||
\(392\) | 63.2514 | + | 75.3801i | 0.161356 | + | 0.192296i | ||||
\(393\) | 70.4711 | + | 126.039i | 0.179316 | + | 0.320709i | ||||
\(394\) | 317.676 | − | 115.625i | 0.806285 | − | 0.293464i | ||||
\(395\) | −27.9923 | + | 16.1614i | −0.0708667 | + | 0.0409149i | ||||
\(396\) | −115.689 | + | 292.512i | −0.292144 | + | 0.738667i | ||||
\(397\) | 238.751 | − | 413.529i | 0.601389 | − | 1.04164i | −0.391222 | − | 0.920296i | \(-0.627948\pi\) |
0.992611 | − | 0.121340i | \(-0.0387190\pi\) | |||||||
\(398\) | −134.448 | − | 23.7069i | −0.337810 | − | 0.0595651i | ||||
\(399\) | 230.367 | − | 606.783i | 0.577362 | − | 1.52076i | ||||
\(400\) | 34.8114 | + | 12.6703i | 0.0870284 | + | 0.0316757i | ||||
\(401\) | 630.036 | − | 111.092i | 1.57116 | − | 0.277038i | 0.680861 | − | 0.732412i | \(-0.261606\pi\) |
0.890300 | + | 0.455374i | \(0.150494\pi\) | |||||||
\(402\) | −10.4018 | + | 3.62443i | −0.0258750 | + | 0.00901599i | ||||
\(403\) | 121.236 | + | 101.729i | 0.300835 | + | 0.252430i | ||||
\(404\) | 195.611i | 0.484185i | ||||||||
\(405\) | −29.6352 | − | 19.3615i | −0.0731733 | − | 0.0478063i | ||||
\(406\) | −169.571 | −0.417662 | ||||||||
\(407\) | 103.700 | − | 123.584i | 0.254790 | − | 0.303647i | ||||
\(408\) | −39.3577 | − | 112.953i | −0.0964649 | − | 0.276845i | ||||
\(409\) | 47.4471 | + | 269.086i | 0.116008 | + | 0.657912i | 0.986246 | + | 0.165282i | \(0.0528534\pi\) |
−0.870239 | + | 0.492630i | \(0.836036\pi\) | |||||||
\(410\) | −4.29681 | + | 11.8054i | −0.0104800 | + | 0.0287936i | ||||
\(411\) | −385.920 | − | 146.516i | −0.938977 | − | 0.356486i | ||||
\(412\) | 17.6083 | − | 99.8614i | 0.0427385 | − | 0.242382i | ||||
\(413\) | 286.137 | + | 165.201i | 0.692825 | + | 0.400003i | ||||
\(414\) | −46.6219 | − | 314.920i | −0.112613 | − | 0.760676i | ||||
\(415\) | 27.0350 | + | 46.8259i | 0.0651445 | + | 0.112834i | ||||
\(416\) | −100.919 | − | 277.273i | −0.242594 | − | 0.666523i | ||||
\(417\) | −239.315 | + | 133.806i | −0.573897 | + | 0.320879i | ||||
\(418\) | −538.941 | + | 452.226i | −1.28933 | + | 1.08188i | ||||
\(419\) | 86.5260 | + | 103.118i | 0.206506 | + | 0.246104i | 0.859350 | − | 0.511388i | \(-0.170869\pi\) |
−0.652844 | + | 0.757493i | \(0.726424\pi\) | |||||||
\(420\) | 18.3607 | + | 0.252997i | 0.0437159 | + | 0.000602374i | ||||
\(421\) | −319.082 | + | 116.136i | −0.757914 | + | 0.275858i | −0.691932 | − | 0.721963i | \(-0.743240\pi\) |
−0.0659819 | + | 0.997821i | \(0.521018\pi\) | |||||||
\(422\) | 334.015 | − | 192.844i | 0.791505 | − | 0.456976i | ||||
\(423\) | −683.506 | + | 369.896i | −1.61585 | + | 0.874458i | ||||
\(424\) | 131.362 | − | 227.526i | 0.309817 | − | 0.536618i | ||||
\(425\) | 118.623 | + | 20.9165i | 0.279113 | + | 0.0492152i | ||||
\(426\) | 446.148 | − | 72.3445i | 1.04730 | − | 0.169823i | ||||
\(427\) | −187.045 | − | 68.0786i | −0.438043 | − | 0.159435i | ||||
\(428\) | −125.047 | + | 22.0491i | −0.292165 | + | 0.0515166i | ||||
\(429\) | 81.4186 | − | 427.239i | 0.189787 | − | 0.995895i | ||||
\(430\) | −2.42658 | − | 2.03614i | −0.00564321 | − | 0.00473522i | ||||
\(431\) | 369.724i | 0.857829i | 0.903345 | + | 0.428914i | \(0.141104\pi\) | ||||
−0.903345 | + | 0.428914i | \(0.858896\pi\) | |||||||
\(432\) | 39.3814 | + | 8.63575i | 0.0911607 | + | 0.0199902i | ||||
\(433\) | 553.428 | 1.27813 | 0.639063 | − | 0.769155i | \(-0.279322\pi\) | ||||
0.639063 | + | 0.769155i | \(0.279322\pi\) | |||||||
\(434\) | 84.4681 | − | 100.665i | 0.194627 | − | 0.231947i | ||||
\(435\) | 18.3191 | − | 21.2308i | 0.0421129 | − | 0.0488065i | ||||
\(436\) | 42.9628 | + | 243.654i | 0.0985385 | + | 0.558840i | ||||
\(437\) | −330.134 | + | 907.036i | −0.755455 | + | 2.07560i | ||||
\(438\) | −6.14695 | + | 5.01521i | −0.0140341 | + | 0.0114503i | ||||
\(439\) | −117.243 | + | 664.921i | −0.267069 | + | 1.51463i | 0.496008 | + | 0.868318i | \(0.334799\pi\) |
−0.763077 | + | 0.646307i | \(0.776312\pi\) | |||||||
\(440\) | −47.1905 | − | 27.2455i | −0.107251 | − | 0.0619215i | ||||
\(441\) | −102.318 | + | 34.0785i | −0.232013 | + | 0.0772755i | ||||
\(442\) | 30.2055 | + | 52.3174i | 0.0683382 | + | 0.118365i | ||||
\(443\) | −189.767 | − | 521.381i | −0.428368 | − | 1.17693i | −0.946803 | − | 0.321814i | \(-0.895707\pi\) |
0.518435 | − | 0.855117i | \(-0.326515\pi\) | |||||||
\(444\) | 63.0352 | + | 37.5608i | 0.141971 | + | 0.0845964i | ||||
\(445\) | −11.9896 | + | 10.0605i | −0.0269429 | + | 0.0226078i | ||||
\(446\) | −255.603 | − | 304.616i | −0.573102 | − | 0.682996i | ||||
\(447\) | 48.9649 | − | 82.1738i | 0.109541 | − | 0.183834i | ||||
\(448\) | −264.375 | + | 96.2245i | −0.590122 | + | 0.214787i | ||||
\(449\) | 514.326 | − | 296.946i | 1.14549 | − | 0.661351i | 0.197708 | − | 0.980261i | \(-0.436650\pi\) |
0.947785 | + | 0.318910i | \(0.103317\pi\) | |||||||
\(450\) | −193.093 | + | 217.647i | −0.429096 | + | 0.483661i | ||||
\(451\) | −167.472 | + | 290.071i | −0.371336 | + | 0.643172i | ||||
\(452\) | 62.4814 | + | 11.0171i | 0.138233 | + | 0.0243742i | ||||
\(453\) | −270.999 | − | 332.153i | −0.598232 | − | 0.733229i | ||||
\(454\) | 116.312 | + | 42.3341i | 0.256194 | + | 0.0932470i | ||||
\(455\) | −25.0032 | + | 4.40874i | −0.0549522 | + | 0.00968955i | ||||
\(456\) | −663.257 | − | 572.295i | −1.45451 | − | 1.25503i | ||||
\(457\) | 286.091 | + | 240.059i | 0.626020 | + | 0.525293i | 0.899689 | − | 0.436531i | \(-0.143793\pi\) |
−0.273670 | + | 0.961824i | \(0.588237\pi\) | |||||||
\(458\) | − | 149.945i | − | 0.327390i | ||||||
\(459\) | 130.979 | + | 5.41713i | 0.285357 | + | 0.0118020i | ||||
\(460\) | −27.3084 | −0.0593661 | ||||||||
\(461\) | −268.133 | + | 319.548i | −0.581633 | + | 0.693164i | −0.973975 | − | 0.226656i | \(-0.927221\pi\) |
0.392341 | + | 0.919820i | \(0.371665\pi\) | |||||||
\(462\) | −354.745 | − | 67.6036i | −0.767847 | − | 0.146328i | ||||
\(463\) | 47.3851 | + | 268.734i | 0.102344 | + | 0.580420i | 0.992248 | + | 0.124273i | \(0.0396598\pi\) |
−0.889904 | + | 0.456147i | \(0.849229\pi\) | |||||||
\(464\) | −10.9232 | + | 30.0113i | −0.0235414 | + | 0.0646795i | ||||
\(465\) | 3.47832 | + | 21.4508i | 0.00748026 | + | 0.0461307i | ||||
\(466\) | 9.49015 | − | 53.8213i | 0.0203651 | − | 0.115496i | ||||
\(467\) | 86.4172 | + | 49.8930i | 0.185047 | + | 0.106837i | 0.589662 | − | 0.807650i | \(-0.299261\pi\) |
−0.404615 | + | 0.914487i | \(0.632594\pi\) | |||||||
\(468\) | 197.745 | + | 5.45060i | 0.422532 | + | 0.0116466i | ||||
\(469\) | 8.57168 | + | 14.8466i | 0.0182765 | + | 0.0316558i | ||||
\(470\) | −16.8195 | − | 46.2113i | −0.0357863 | − | 0.0983220i | ||||
\(471\) | −3.98770 | + | 289.398i | −0.00846646 | + | 0.614434i | ||||
\(472\) | 341.621 | − | 286.654i | 0.723773 | − | 0.607318i | ||||
\(473\) | −54.2859 | − | 64.6954i | −0.114769 | − | 0.136777i | ||||
\(474\) | 141.102 | + | 252.363i | 0.297683 | + | 0.532411i | ||||
\(475\) | 828.979 | − | 301.724i | 1.74522 | − | 0.635208i | ||||
\(476\) | −58.8895 | + | 33.9998i | −0.123717 | + | 0.0714282i | ||||
\(477\) | 178.933 | + | 225.586i | 0.375121 | + | 0.472927i | ||||
\(478\) | 20.9791 | − | 36.3369i | 0.0438894 | − | 0.0760186i | ||||
\(479\) | 472.689 | + | 83.3477i | 0.986824 | + | 0.174004i | 0.643693 | − | 0.765284i | \(-0.277401\pi\) |
0.343131 | + | 0.939288i | \(0.388513\pi\) | |||||||
\(480\) | 14.3804 | − | 37.8776i | 0.0299591 | − | 0.0789118i | ||||
\(481\) | −95.3374 | − | 34.7000i | −0.198207 | − | 0.0721413i | ||||
\(482\) | −183.789 | + | 32.4069i | −0.381305 | + | 0.0672343i | ||||
\(483\) | −467.876 | + | 163.028i | −0.968688 | + | 0.337533i | ||||
\(484\) | −193.145 | − | 162.068i | −0.399060 | − | 0.334851i | ||||
\(485\) | 35.1205i | 0.0724133i | ||||||||
\(486\) | −176.827 | + | 262.679i | −0.363842 | + | 0.540492i | ||||
\(487\) | −305.419 | −0.627143 | −0.313572 | − | 0.949565i | \(-0.601526\pi\) | ||||
−0.313572 | + | 0.949565i | \(0.601526\pi\) | |||||||
\(488\) | −172.693 | + | 205.807i | −0.353879 | + | 0.421736i | ||||
\(489\) | 38.7717 | + | 111.271i | 0.0792878 | + | 0.227549i | ||||
\(490\) | −1.18497 | − | 6.72031i | −0.00241831 | − | 0.0137149i | ||||
\(491\) | 116.693 | − | 320.610i | 0.237663 | − | 0.652974i | −0.762320 | − | 0.647200i | \(-0.775940\pi\) |
0.999983 | − | 0.00577405i | \(-0.00183795\pi\) | |||||||
\(492\) | −142.425 | − | 54.0723i | −0.289482 | − | 0.109903i | ||||
\(493\) | −18.0323 | + | 102.266i | −0.0365767 | + | 0.207437i | ||||
\(494\) | 383.165 | + | 221.221i | 0.775639 | + | 0.447815i | ||||
\(495\) | 46.7881 | − | 37.1119i | 0.0945215 | − | 0.0749735i | ||||
\(496\) | −12.3749 | − | 21.4340i | −0.0249495 | − | 0.0432137i | ||||
\(497\) | −240.587 | − | 661.008i | −0.484079 | − | 1.33000i | ||||
\(498\) | 422.156 | − | 236.037i | 0.847702 | − | 0.473970i | ||||
\(499\) | −253.803 | + | 212.966i | −0.508623 | + | 0.426786i | −0.860644 | − | 0.509206i | \(-0.829939\pi\) |
0.352021 | + | 0.935992i | \(0.385495\pi\) | |||||||
\(500\) | 32.2093 | + | 38.3856i | 0.0644186 | + | 0.0767711i | ||||
\(501\) | 391.913 | + | 5.40028i | 0.782261 | + | 0.0107790i | ||||
\(502\) | −272.195 | + | 99.0708i | −0.542221 | + | 0.197352i | ||||
\(503\) | −189.269 | + | 109.275i | −0.376281 | + | 0.217246i | −0.676199 | − | 0.736719i | \(-0.736374\pi\) |
0.299918 | + | 0.953965i | \(0.403041\pi\) | |||||||
\(504\) | 12.3900 | − | 449.501i | 0.0245832 | − | 0.891867i | ||||
\(505\) | 18.5685 | − | 32.1616i | 0.0367693 | − | 0.0636864i | ||||
\(506\) | 528.909 | + | 93.2608i | 1.04527 | + | 0.184310i | ||||
\(507\) | 230.472 | − | 37.3719i | 0.454580 | − | 0.0737119i | ||||
\(508\) | −276.349 | − | 100.583i | −0.543994 | − | 0.197998i | ||||
\(509\) | −71.3631 | + | 12.5832i | −0.140203 | + | 0.0247215i | −0.243309 | − | 0.969949i | \(-0.578233\pi\) |
0.103106 | + | 0.994670i | \(0.467122\pi\) | |||||||
\(510\) | −1.55282 | + | 8.14833i | −0.00304475 | + | 0.0159771i | ||||
\(511\) | 9.45833 | + | 7.93648i | 0.0185094 | + | 0.0155313i | ||||
\(512\) | 95.1938i | 0.185925i | ||||||||
\(513\) | 850.590 | − | 445.276i | 1.65807 | − | 0.867985i | ||||
\(514\) | 289.125 | 0.562499 | ||||||||
\(515\) | −12.3745 | + | 14.7474i | −0.0240282 | + | 0.0286357i | ||||
\(516\) | 25.0942 | − | 29.0827i | 0.0486321 | − | 0.0563618i | ||||
\(517\) | −227.673 | − | 1291.20i | −0.440373 | − | 2.49748i | ||||
\(518\) | −28.8121 | + | 79.1606i | −0.0556218 | + | 0.152820i | ||||
\(519\) | −199.424 | + | 162.708i | −0.384247 | + | 0.313502i | ||||
\(520\) | −5.95062 | + | 33.7477i | −0.0114435 | + | 0.0648993i | ||||
\(521\) | −624.343 | − | 360.464i | −1.19835 | − | 0.691870i | −0.238166 | − | 0.971224i | \(-0.576546\pi\) |
−0.960188 | + | 0.279354i | \(0.909880\pi\) | |||||||
\(522\) | −187.637 | − | 166.468i | −0.359457 | − | 0.318904i | ||||
\(523\) | −128.115 | − | 221.903i | −0.244963 | − | 0.424288i | 0.717158 | − | 0.696910i | \(-0.245442\pi\) |
−0.962121 | + | 0.272622i | \(0.912109\pi\) | |||||||
\(524\) | −37.8965 | − | 104.120i | −0.0723216 | − | 0.198702i | ||||
\(525\) | 389.004 | + | 231.796i | 0.740960 | + | 0.441516i | ||||
\(526\) | 68.3236 | − | 57.3303i | 0.129893 | − | 0.108993i | ||||
\(527\) | −51.7277 | − | 61.6466i | −0.0981550 | − | 0.116977i | ||||
\(528\) | −34.8163 | + | 58.4294i | −0.0659400 | + | 0.110662i | ||||
\(529\) | 195.317 | − | 71.0894i | 0.369218 | − | 0.134385i | ||||
\(530\) | −15.7785 | + | 9.10974i | −0.0297708 | + | 0.0171882i | ||||
\(531\) | 154.443 | + | 463.702i | 0.290853 | + | 0.873262i | ||||
\(532\) | −249.010 | + | 431.298i | −0.468064 | + | 0.810711i | ||||
\(533\) | 207.440 | + | 36.5773i | 0.389193 | + | 0.0686253i | ||||
\(534\) | 88.5058 | + | 108.478i | 0.165741 | + | 0.203142i | ||||
\(535\) | 22.6527 | + | 8.24492i | 0.0423416 | + | 0.0154111i | ||||
\(536\) | 22.7874 | − | 4.01804i | 0.0425138 | − | 0.00749634i | ||||
\(537\) | 571.645 | + | 493.247i | 1.06452 | + | 0.918524i | ||||
\(538\) | −333.425 | − | 279.777i | −0.619749 | − | 0.520031i | ||||
\(539\) | − | 181.935i | − | 0.337542i | ||||||
\(540\) | 20.0684 | + | 18.3047i | 0.0371637 | + | 0.0338975i | ||||
\(541\) | 226.157 | 0.418035 | 0.209017 | − | 0.977912i | \(-0.432973\pi\) | ||||
0.209017 | + | 0.977912i | \(0.432973\pi\) | |||||||
\(542\) | −357.735 | + | 426.332i | −0.660028 | + | 0.786591i | ||||
\(543\) | −670.587 | − | 127.793i | −1.23497 | − | 0.235347i | ||||
\(544\) | 26.0537 | + | 147.758i | 0.0478928 | + | 0.271614i | ||||
\(545\) | 16.0653 | − | 44.1390i | 0.0294776 | − | 0.0809890i | ||||
\(546\) | 36.3515 | + | 224.179i | 0.0665778 | + | 0.410585i | ||||
\(547\) | 88.9309 | − | 504.352i | 0.162579 | − | 0.922033i | −0.788946 | − | 0.614463i | \(-0.789373\pi\) |
0.951525 | − | 0.307571i | \(-0.0995160\pi\) | |||||||
\(548\) | 274.310 | + | 158.373i | 0.500565 | + | 0.289001i | ||||
\(549\) | −140.139 | − | 258.953i | −0.255262 | − | 0.471682i | ||||
\(550\) | −245.425 | − | 425.088i | −0.446227 | − | 0.772888i | ||||
\(551\) | 260.120 | + | 714.673i | 0.472087 | + | 1.29705i | ||||
\(552\) | −9.21397 | + | 668.683i | −0.0166920 | + | 1.21138i | ||||
\(553\) | 344.711 | − | 289.247i | 0.623347 | − | 0.523050i | ||||
\(554\) | 233.484 | + | 278.255i | 0.421451 | + | 0.502266i | ||||
\(555\) | −6.79853 | − | 12.1593i | −0.0122496 | − | 0.0219086i | ||||
\(556\) | 197.697 | − | 71.9557i | 0.355570 | − | 0.129417i | ||||
\(557\) | −385.269 | + | 222.435i | −0.691686 | + | 0.399345i | −0.804243 | − | 0.594300i | \(-0.797429\pi\) |
0.112557 | + | 0.993645i | \(0.464096\pi\) | |||||||
\(558\) | 192.290 | − | 28.4673i | 0.344606 | − | 0.0510167i | ||||
\(559\) | −26.5557 | + | 45.9958i | −0.0475057 | + | 0.0822823i | ||||
\(560\) | 3.91012 | + | 0.689460i | 0.00698236 | + | 0.00123118i | ||||
\(561\) | −78.4950 | + | 206.754i | −0.139920 | + | 0.368546i | ||||
\(562\) | 516.755 | + | 188.083i | 0.919492 | + | 0.334668i | ||||
\(563\) | −351.511 | + | 61.9809i | −0.624354 | + | 0.110090i | −0.476870 | − | 0.878974i | \(-0.658229\pi\) |
−0.147484 | + | 0.989064i | \(0.547118\pi\) | |||||||
\(564\) | 563.134 | − | 196.220i | 0.998464 | − | 0.347908i | ||||
\(565\) | −9.22714 | − | 7.74249i | −0.0163312 | − | 0.0137035i | ||||
\(566\) | − | 608.177i | − | 1.07452i | ||||||
\(567\) | 453.111 | + | 193.808i | 0.799137 | + | 0.341814i | ||||
\(568\) | −949.442 | −1.67155 | ||||||||
\(569\) | −426.408 | + | 508.173i | −0.749399 | + | 0.893099i | −0.997128 | − | 0.0757305i | \(-0.975871\pi\) |
0.247729 | + | 0.968829i | \(0.420316\pi\) | |||||||
\(570\) | 19.9896 | + | 57.3684i | 0.0350695 | + | 0.100646i | ||||
\(571\) | 134.325 | + | 761.793i | 0.235245 | + | 1.33414i | 0.842098 | + | 0.539325i | \(0.181320\pi\) |
−0.606853 | + | 0.794814i | \(0.707569\pi\) | |||||||
\(572\) | −114.141 | + | 313.601i | −0.199548 | + | 0.548253i | ||||
\(573\) | −507.275 | − | 192.589i | −0.885297 | − | 0.336106i | ||||
\(574\) | 30.3709 | − | 172.242i | 0.0529109 | − | 0.300073i | ||||
\(575\) | −583.217 | − | 336.720i | −1.01429 | − | 0.585601i | ||||
\(576\) | −387.004 | − | 153.061i | −0.671882 | − | 0.265731i | ||||
\(577\) | 432.933 | + | 749.861i | 0.750316 | + | 1.29959i | 0.947669 | + | 0.319254i | \(0.103432\pi\) |
−0.197353 | + | 0.980333i | \(0.563234\pi\) | |||||||
\(578\) | 118.296 | + | 325.017i | 0.204665 | + | 0.562313i | ||||
\(579\) | −509.340 | + | 284.784i | −0.879690 | + | 0.491855i | ||||
\(580\) | −16.4829 | + | 13.8308i | −0.0284188 | + | 0.0238462i | ||||
\(581\) | −483.856 | − | 576.637i | −0.832798 | − | 0.992490i | ||||
\(582\) | 314.127 | + | 4.32845i | 0.539737 | + | 0.00743719i | ||||
\(583\) | −456.457 | + | 166.137i | −0.782946 | + | 0.284969i | ||||
\(584\) | 14.4324 | − | 8.33255i | 0.0247130 | − | 0.0142681i | ||||
\(585\) | −31.9951 | − | 19.6673i | −0.0546925 | − | 0.0336193i | ||||
\(586\) | −7.14654 | + | 12.3782i | −0.0121955 | + | 0.0211232i | ||||
\(587\) | −255.485 | − | 45.0488i | −0.435238 | − | 0.0767442i | −0.0482634 | − | 0.998835i | \(-0.515369\pi\) |
−0.386974 | + | 0.922090i | \(0.626480\pi\) | |||||||
\(588\) | 81.6834 | − | 13.2453i | 0.138917 | − | 0.0225260i | ||||
\(589\) | −553.836 | − | 201.580i | −0.940299 | − | 0.342241i | ||||
\(590\) | −30.4563 | + | 5.37027i | −0.0516209 | + | 0.00910215i | ||||
\(591\) | 145.697 | − | 764.537i | 0.246527 | − | 1.29363i | ||||
\(592\) | 12.1542 | + | 10.1986i | 0.0205307 | + | 0.0172273i | ||||
\(593\) | 32.9690i | 0.0555969i | 0.999614 | + | 0.0277985i | \(0.00884967\pi\) | ||||
−0.999614 | + | 0.0277985i | \(0.991150\pi\) | |||||||
\(594\) | −326.173 | − | 423.060i | −0.549112 | − | 0.712222i | ||||
\(595\) | 12.9099 | 0.0216972 | ||||||||
\(596\) | −47.1797 | + | 56.2265i | −0.0791605 | + | 0.0943398i | ||||
\(597\) | −205.329 | + | 237.965i | −0.343935 | + | 0.398601i | ||||
\(598\) | −58.6499 | − | 332.620i | −0.0980768 | − | 0.556221i | ||||
\(599\) | 309.199 | − | 849.518i | 0.516193 | − | 1.41823i | −0.358491 | − | 0.933533i | \(-0.616709\pi\) |
0.874684 | − | 0.484694i | \(-0.161069\pi\) | |||||||
\(600\) | 473.572 | − | 386.381i | 0.789287 | − | 0.643969i | ||||
\(601\) | 51.9255 | − | 294.484i | 0.0863985 | − | 0.489990i | −0.910648 | − | 0.413184i | \(-0.864417\pi\) |
0.997046 | − | 0.0768061i | \(-0.0244722\pi\) | |||||||
\(602\) | 38.1913 | + | 22.0497i | 0.0634407 | + | 0.0366275i | ||||
\(603\) | −5.09003 | + | 24.8431i | −0.00844117 | + | 0.0411992i | ||||
\(604\) | 164.466 | + | 284.864i | 0.272295 | + | 0.471630i | ||||
\(605\) | 16.3718 | + | 44.9810i | 0.0270608 | + | 0.0743488i | ||||
\(606\) | −285.374 | − | 170.046i | −0.470914 | − | 0.280603i | ||||
\(607\) | 496.858 | − | 416.914i | 0.818548 | − | 0.686843i | −0.134084 | − | 0.990970i | \(-0.542809\pi\) |
0.952631 | + | 0.304127i | \(0.0983647\pi\) | |||||||
\(608\) | 706.328 | + | 841.769i | 1.16172 | + | 1.38449i | ||||
\(609\) | −199.834 | + | 335.365i | −0.328135 | + | 0.550681i | ||||
\(610\) | 17.5076 | − | 6.37226i | 0.0287011 | − | 0.0104463i | ||||
\(611\) | −714.068 | + | 412.267i | −1.16869 | + | 0.674742i | ||||
\(612\) | −98.5411 | − | 20.1897i | −0.161015 | − | 0.0329898i | ||||
\(613\) | 137.890 | − | 238.832i | 0.224942 | − | 0.389612i | −0.731360 | − | 0.681992i | \(-0.761114\pi\) |
0.956302 | + | 0.292380i | \(0.0944473\pi\) | |||||||
\(614\) | 362.798 | + | 63.9711i | 0.590877 | + | 0.104188i | ||||
\(615\) | 18.2842 | + | 22.4102i | 0.0297304 | + | 0.0364394i | ||||
\(616\) | 712.857 | + | 259.459i | 1.15724 | + | 0.421199i | ||||
\(617\) | 840.647 | − | 148.229i | 1.36247 | − | 0.240241i | 0.555839 | − | 0.831290i | \(-0.312397\pi\) |
0.806636 | + | 0.591049i | \(0.201286\pi\) | |||||||
\(618\) | 130.379 | + | 112.499i | 0.210970 | + | 0.182036i | ||||
\(619\) | 5.01164 | + | 4.20526i | 0.00809635 | + | 0.00679364i | 0.646827 | − | 0.762637i | \(-0.276096\pi\) |
−0.638730 | + | 0.769431i | \(0.720540\pi\) | |||||||
\(620\) | − | 16.6745i | − | 0.0268944i | ||||||
\(621\) | −677.768 | − | 278.918i | −1.09141 | − | 0.449143i | ||||
\(622\) | 95.2787 | 0.153181 | ||||||||
\(623\) | 140.059 | − | 166.915i | 0.224813 | − | 0.267922i | ||||
\(624\) | 42.0177 | + | 8.00729i | 0.0673361 | + | 0.0128322i | ||||
\(625\) | 106.049 | + | 601.434i | 0.169678 | + | 0.962294i | ||||
\(626\) | 73.6443 | − | 202.336i | 0.117643 | − | 0.323221i | ||||
\(627\) | 259.254 | + | 1598.81i | 0.413483 | + | 2.54994i | ||||
\(628\) | 38.5640 | − | 218.707i | 0.0614077 | − | 0.348260i | ||||
\(629\) | 44.6770 | + | 25.7943i | 0.0710287 | + | 0.0410084i | ||||
\(630\) | −16.3301 | + | 26.5662i | −0.0259209 | + | 0.0421686i | ||||
\(631\) | 249.531 | + | 432.200i | 0.395453 | + | 0.684945i | 0.993159 | − | 0.116770i | \(-0.0372542\pi\) |
−0.597706 | + | 0.801716i | \(0.703921\pi\) | |||||||
\(632\) | −207.730 | − | 570.735i | −0.328687 | − | 0.903061i | ||||
\(633\) | 12.2340 | − | 887.851i | 0.0193269 | − | 1.40261i | ||||
\(634\) | −156.730 | + | 131.512i | −0.247209 | + | 0.207433i | ||||
\(635\) | 35.8884 | + | 42.7701i | 0.0565171 | + | 0.0673545i | ||||
\(636\) | −107.822 | − | 192.841i | −0.169531 | − | 0.303208i | ||||
\(637\) | −107.515 | + | 39.1324i | −0.168784 | + | 0.0614323i | ||||
\(638\) | 366.474 | − | 211.584i | 0.574410 | − | 0.331636i | ||||
\(639\) | 382.693 | − | 967.615i | 0.598894 | − | 1.51426i | ||||
\(640\) | −13.8434 | + | 23.9774i | −0.0216303 | + | 0.0374648i | ||||
\(641\) | 632.662 | + | 111.555i | 0.986991 | + | 0.174033i | 0.643768 | − | 0.765221i | \(-0.277370\pi\) |
0.343223 | + | 0.939254i | \(0.388481\pi\) | |||||||
\(642\) | 76.5367 | − | 201.596i | 0.119216 | − | 0.314013i | ||||
\(643\) | 638.451 | + | 232.377i | 0.992926 | + | 0.361395i | 0.786852 | − | 0.617141i | \(-0.211709\pi\) |
0.206073 | + | 0.978537i | \(0.433931\pi\) | |||||||
\(644\) | 374.404 | − | 66.0175i | 0.581372 | − | 0.102512i | ||||
\(645\) | −6.88659 | + | 2.39959i | −0.0106769 | + | 0.00372029i | ||||
\(646\) | −172.340 | − | 144.610i | −0.266780 | − | 0.223855i | ||||
\(647\) | 232.654i | 0.359589i | 0.983704 | + | 0.179794i | \(0.0575432\pi\) | ||||
−0.983704 | + | 0.179794i | \(0.942457\pi\) | |||||||
\(648\) | 454.985 | − | 485.226i | 0.702138 | − | 0.748806i | ||||
\(649\) | −824.526 | −1.27046 | ||||||||
\(650\) | −198.419 | + | 236.467i | −0.305261 | + | 0.363795i | ||||
\(651\) | −99.5452 | − | 285.686i | −0.152911 | − | 0.438841i | ||||
\(652\) | −15.7004 | − | 89.0414i | −0.0240804 | − | 0.136566i | ||||
\(653\) | 328.284 | − | 901.953i | 0.502732 | − | 1.38125i | −0.385864 | − | 0.922556i | \(-0.626097\pi\) |
0.888597 | − | 0.458690i | \(-0.151681\pi\) | |||||||
\(654\) | −392.811 | − | 149.132i | −0.600629 | − | 0.228031i | ||||
\(655\) | −3.65285 | + | 20.7163i | −0.00557687 | + | 0.0316280i | ||||
\(656\) | −28.5276 | − | 16.4704i | −0.0434872 | − | 0.0251074i | ||||
\(657\) | 2.67474 | + | 18.0673i | 0.00407115 | + | 0.0274996i | ||||
\(658\) | 342.314 | + | 592.906i | 0.520235 | + | 0.901073i | ||||
\(659\) | −36.8104 | − | 101.136i | −0.0558580 | − | 0.153469i | 0.908625 | − | 0.417612i | \(-0.137133\pi\) |
−0.964483 | + | 0.264144i | \(0.914911\pi\) | |||||||
\(660\) | −39.9965 | + | 22.3630i | −0.0606007 | + | 0.0338833i | ||||
\(661\) | −355.445 | + | 298.254i | −0.537738 | + | 0.451216i | −0.870763 | − | 0.491702i | \(-0.836375\pi\) |
0.333026 | + | 0.942918i | \(0.391930\pi\) | |||||||
\(662\) | −407.600 | − | 485.759i | −0.615710 | − | 0.733775i | ||||
\(663\) | 139.066 | + | 1.91623i | 0.209752 | + | 0.00289024i | ||||
\(664\) | −954.732 | + | 347.494i | −1.43785 | + | 0.523334i | ||||
\(665\) | 81.8827 | − | 47.2750i | 0.123132 | − | 0.0710902i | ||||
\(666\) | −109.594 | + | 59.3093i | −0.164555 | + | 0.0890530i | ||||
\(667\) | 290.291 | − | 502.798i | 0.435219 | − | 0.753821i | ||||
\(668\) | −296.181 | − | 52.2247i | −0.443384 | − | 0.0781806i | ||||
\(669\) | −903.669 | + | 146.533i | −1.35078 | + | 0.219033i | ||||
\(670\) | −1.50787 | − | 0.548821i | −0.00225056 | − | 0.000819135i | ||||
\(671\) | 489.183 | − | 86.2562i | 0.729037 | − | 0.128549i | ||||
\(672\) | −105.590 | + | 554.075i | −0.157127 | + | 0.824516i | ||||
\(673\) | 63.2542 | + | 53.0766i | 0.0939884 | + | 0.0788656i | 0.688571 | − | 0.725169i | \(-0.258238\pi\) |
−0.594583 | + | 0.804034i | \(0.702683\pi\) | |||||||
\(674\) | 77.3120i | 0.114706i | ||||||||
\(675\) | 202.893 | + | 638.376i | 0.300583 | + | 0.945743i | ||||
\(676\) | −179.155 | −0.265022 | ||||||||
\(677\) | 371.955 | − | 443.278i | 0.549416 | − | 0.654768i | −0.417855 | − | 0.908514i | \(-0.637218\pi\) |
0.967271 | + | 0.253745i | \(0.0816625\pi\) | |||||||
\(678\) | −70.3882 | + | 81.5759i | −0.103817 | + | 0.120318i | ||||
\(679\) | −84.9030 | − | 481.509i | −0.125041 | − | 0.709144i | ||||
\(680\) | 5.95965 | − | 16.3740i | 0.00876418 | − | 0.0240794i | ||||
\(681\) | 220.796 | − | 180.144i | 0.324223 | − | 0.264529i | ||||
\(682\) | −56.9451 | + | 322.952i | −0.0834972 | + | 0.473536i | ||||
\(683\) | −323.144 | − | 186.567i | −0.473124 | − | 0.273158i | 0.244422 | − | 0.969669i | \(-0.421402\pi\) |
−0.717547 | + | 0.696510i | \(0.754735\pi\) | |||||||
\(684\) | −698.945 | + | 232.794i | −1.02185 | + | 0.340342i | ||||
\(685\) | −30.0673 | − | 52.0781i | −0.0438939 | − | 0.0760265i | ||||
\(686\) | 165.362 | + | 454.329i | 0.241053 | + | 0.662286i | ||||
\(687\) | −296.550 | − | 176.705i | −0.431659 | − | 0.257213i | ||||
\(688\) | 6.36261 | − | 5.33886i | 0.00924798 | − | 0.00775998i | ||||
\(689\) | 196.359 | + | 234.011i | 0.284991 | + | 0.339639i | ||||
\(690\) | 23.7393 | − | 39.8398i | 0.0344048 | − | 0.0577388i | ||||
\(691\) | 144.892 | − | 52.7365i | 0.209685 | − | 0.0763191i | −0.235042 | − | 0.971985i | \(-0.575523\pi\) |
0.444727 | + | 0.895666i | \(0.353301\pi\) | |||||||
\(692\) | 171.032 | − | 98.7456i | 0.247157 | − | 0.142696i | ||||
\(693\) | −551.758 | + | 621.921i | −0.796187 | + | 0.897433i | ||||
\(694\) | −393.126 | + | 680.915i | −0.566464 | + | 0.981145i | ||||
\(695\) | −39.3350 | − | 6.93583i | −0.0565972 | − | 0.00997961i | ||||
\(696\) | 333.104 | + | 408.272i | 0.478598 | + | 0.586598i | ||||
\(697\) | −100.648 | − | 36.6327i | −0.144401 | − | 0.0525577i | ||||
\(698\) | −502.698 | + | 88.6392i | −0.720198 | + | 0.126990i | ||||
\(699\) | −95.2601 | − | 82.1957i | −0.136281 | − | 0.117590i | ||||
\(700\) | −266.172 | − | 223.345i | −0.380245 | − | 0.319064i | ||||
\(701\) | 781.764i | 1.11521i | 0.830105 | + | 0.557606i | \(0.188280\pi\) | ||||
−0.830105 | + | 0.557606i | \(0.811720\pi\) | |||||||
\(702\) | −179.853 | + | 283.749i | −0.256200 | + | 0.404201i | ||||
\(703\) | 377.828 | 0.537451 | ||||||||
\(704\) | 451.297 | − | 537.835i | 0.641047 | − | 0.763970i | ||||
\(705\) | −111.215 | − | 21.1941i | −0.157751 | − | 0.0300626i | ||||
\(706\) | 107.667 | + | 610.609i | 0.152503 | + | 0.864886i | ||||
\(707\) | −176.828 | + | 485.831i | −0.250111 | + | 0.687173i | ||||
\(708\) | −60.0273 | − | 370.187i | −0.0847843 | − | 0.522864i | ||||
\(709\) | −118.371 | + | 671.313i | −0.166954 | + | 0.946845i | 0.780072 | + | 0.625689i | \(0.215182\pi\) |
−0.947027 | + | 0.321155i | \(0.895929\pi\) | |||||||
\(710\) | 57.0209 | + | 32.9210i | 0.0803111 | + | 0.0463677i | ||||
\(711\) | 665.389 | + | 18.3407i | 0.935850 | + | 0.0257956i | ||||
\(712\) | −147.048 | − | 254.695i | −0.206529 | − | 0.357718i | ||||
\(713\) | 153.882 | + | 422.788i | 0.215824 | + | 0.592971i | ||||
\(714\) | 1.59108 | − | 115.469i | 0.00222841 | − | 0.161722i | ||||
\(715\) | 48.5355 | − | 40.7261i | 0.0678819 | − | 0.0569596i | ||||
\(716\) | −372.398 | − | 443.806i | −0.520108 | − | 0.619841i | ||||
\(717\) | −47.1413 | − | 84.3129i | −0.0657479 | − | 0.117591i | ||||
\(718\) | 806.093 | − | 293.394i | 1.12269 | − | 0.408626i | ||||
\(719\) | 419.068 | − | 241.949i | 0.582849 | − | 0.336508i | −0.179416 | − | 0.983773i | \(-0.557421\pi\) |
0.762265 | + | 0.647265i | \(0.224087\pi\) | |||||||
\(720\) | 3.64985 | + | 4.60148i | 0.00506924 | + | 0.00639095i | ||||
\(721\) | 134.006 | − | 232.104i | 0.185861 | − | 0.321920i | ||||
\(722\) | −1159.38 | − | 204.429i | −1.60578 | − | 0.283143i | ||||
\(723\) | −152.497 | + | 401.675i | −0.210923 | + | 0.555567i | ||||
\(724\) | 492.223 | + | 179.154i | 0.679866 | + | 0.247451i | ||||
\(725\) | −522.557 | + | 92.1410i | −0.720769 | + | 0.127091i | ||||
\(726\) | 404.341 | − | 140.890i | 0.556943 | − | 0.194063i | ||||
\(727\) | −535.530 | − | 449.363i | −0.736630 | − | 0.618106i | 0.195300 | − | 0.980744i | \(-0.437432\pi\) |
−0.931930 | + | 0.362637i | \(0.881876\pi\) | |||||||
\(728\) | − | 477.073i | − | 0.655320i | ||||||
\(729\) | 311.122 | + | 659.275i | 0.426779 | + | 0.904356i | ||||
\(730\) | −1.15569 | −0.00158314 | ||||||||
\(731\) | 17.3593 | − | 20.6880i | 0.0237473 | − | 0.0283009i | ||||
\(732\) | 74.3401 | + | 213.349i | 0.101558 | + | 0.291461i | ||||
\(733\) | 59.5716 | + | 337.847i | 0.0812710 | + | 0.460911i | 0.998099 | + | 0.0616286i | \(0.0196294\pi\) |
−0.916828 | + | 0.399282i | \(0.869259\pi\) | |||||||
\(734\) | −170.506 | + | 468.463i | −0.232298 | + | 0.638233i | ||||
\(735\) | −14.6874 | − | 5.57613i | −0.0199829 | − | 0.00758657i | ||||
\(736\) | 145.664 | − | 826.099i | 0.197912 | − | 1.12242i | ||||
\(737\) | −37.0500 | − | 21.3908i | −0.0502713 | − | 0.0290242i | ||||
\(738\) | 202.697 | − | 160.777i | 0.274657 | − | 0.217855i | ||||
\(739\) | −246.292 | − | 426.590i | −0.333277 | − | 0.577253i | 0.649875 | − | 0.760041i | \(-0.274821\pi\) |
−0.983152 | + | 0.182788i | \(0.941488\pi\) | |||||||
\(740\) | 3.65597 | + | 10.0447i | 0.00494051 | + | 0.0135739i | ||||
\(741\) | 889.063 | − | 497.095i | 1.19981 | − | 0.670844i | ||||
\(742\) | 194.304 | − | 163.041i | 0.261866 | − | 0.219731i | ||||
\(743\) | 715.322 | + | 852.488i | 0.962749 | + | 1.14736i | 0.989031 | + | 0.147705i | \(0.0471886\pi\) |
−0.0262826 | + | 0.999655i | \(0.508367\pi\) | |||||||
\(744\) | −408.298 | − | 5.62606i | −0.548788 | − | 0.00756190i | ||||
\(745\) | 13.0945 | − | 4.76599i | 0.0175764 | − | 0.00639730i | ||||
\(746\) | −358.395 | + | 206.920i | −0.480422 | + | 0.277372i | ||||
\(747\) | 30.6805 | − | 1113.07i | 0.0410716 | − | 1.49006i | ||||
\(748\) | 84.8473 | − | 146.960i | 0.113432 | − | 0.196470i | ||||
\(749\) | −330.506 | − | 58.2771i | −0.441263 | − | 0.0778065i | ||||
\(750\) | −83.9999 | + | 13.6209i | −0.112000 | + | 0.0181612i | ||||
\(751\) | −1223.39 | − | 445.278i | −1.62901 | − | 0.592913i | −0.643946 | − | 0.765071i | \(-0.722704\pi\) |
−0.985069 | + | 0.172158i | \(0.944926\pi\) | |||||||
\(752\) | 126.986 | − | 22.3910i | 0.168864 | − | 0.0297753i | ||||
\(753\) | −124.838 | + | 655.079i | −0.165787 | + | 0.869959i | ||||
\(754\) | −203.861 | − | 171.060i | −0.270373 | − | 0.226870i | ||||
\(755\) | − | 62.4484i | − | 0.0827132i | ||||||
\(756\) | −319.393 | − | 202.446i | −0.422478 | − | 0.267785i | ||||
\(757\) | 850.358 | 1.12333 | 0.561663 | − | 0.827366i | \(-0.310162\pi\) | ||||
0.561663 | + | 0.827366i | \(0.310162\pi\) | |||||||
\(758\) | 231.536 | − | 275.934i | 0.305456 | − | 0.364029i | ||||
\(759\) | 807.747 | − | 936.132i | 1.06422 | − | 1.23338i | ||||
\(760\) | −22.1605 | − | 125.678i | −0.0291585 | − | 0.165366i | ||||
\(761\) | −153.461 | + | 421.629i | −0.201656 | + | 0.554046i | −0.998759 | − | 0.0497970i | \(-0.984143\pi\) |
0.797103 | + | 0.603843i | \(0.206365\pi\) | |||||||
\(762\) | 386.971 | − | 315.724i | 0.507835 | − | 0.414336i | ||||
\(763\) | −113.553 | + | 643.992i | −0.148825 | + | 0.844026i | ||||
\(764\) | 360.568 | + | 208.174i | 0.471948 | + | 0.272479i | ||||
\(765\) | 14.2852 | + | 12.6736i | 0.0186735 | + | 0.0165668i | ||||
\(766\) | −227.505 | − | 394.049i | −0.297003 | − | 0.514425i | ||||
\(767\) | 177.347 | + | 487.257i | 0.231222 | + | 0.635276i | ||||
\(768\) | 689.442 | + | 410.818i | 0.897710 | + | 0.534919i | ||||
\(769\) | −75.9026 | + | 63.6898i | −0.0987030 | + | 0.0828216i | −0.690804 | − | 0.723042i | \(-0.742743\pi\) |
0.592101 | + | 0.805864i | \(0.298299\pi\) | |||||||
\(770\) | −33.8158 | − | 40.3001i | −0.0439166 | − | 0.0523378i | ||||
\(771\) | 340.724 | − | 571.810i | 0.441925 | − | 0.741647i | ||||
\(772\) | 420.763 | − | 153.145i | 0.545030 | − | 0.198375i | ||||
\(773\) | 185.243 | − | 106.950i | 0.239642 | − | 0.138357i | −0.375370 | − | 0.926875i | \(-0.622484\pi\) |
0.615012 | + | 0.788518i | \(0.289151\pi\) | |||||||
\(774\) | 20.6138 | + | 61.8913i | 0.0266328 | + | 0.0799629i | ||||
\(775\) | 205.602 | − | 356.112i | 0.265292 | − | 0.459500i | ||||
\(776\) | −649.908 | − | 114.596i | −0.837510 | − | 0.147676i | ||||
\(777\) | 122.604 | + | 150.271i | 0.157792 | + | 0.193399i | ||||
\(778\) | −517.803 | − | 188.465i | −0.665557 | − | 0.242243i | ||||
\(779\) | −772.519 | + | 136.216i | −0.991681 | + | 0.174860i | ||||
\(780\) | 21.8183 | + | 18.8261i | 0.0279722 | + | 0.0241360i | ||||
\(781\) | 1344.73 | + | 1128.36i | 1.72181 | + | 1.44477i | ||||
\(782\) | 171.741i | 0.219617i | ||||||||
\(783\) | −550.352 | + | 174.917i | −0.702876 | + | 0.223393i | ||||
\(784\) | 17.8928 | 0.0228225 | ||||||||
\(785\) | −27.1015 | + | 32.2983i | −0.0345242 | + | 0.0411444i | ||||
\(786\) | 184.842 | + | 35.2253i | 0.235169 | + | 0.0448159i | ||||
\(787\) | −237.256 | − | 1345.55i | −0.301469 | − | 1.70972i | −0.639675 | − | 0.768646i | \(-0.720931\pi\) |
0.338205 | − | 0.941072i | \(-0.390180\pi\) | |||||||
\(788\) | −204.254 | + | 561.184i | −0.259206 | + | 0.712162i | ||||
\(789\) | −32.8665 | − | 202.688i | −0.0416559 | − | 0.256892i | ||||
\(790\) | −7.31398 | + | 41.4797i | −0.00925821 | + | 0.0525059i | ||||
\(791\) | 145.223 | + | 83.8447i | 0.183595 | + | 0.105998i | ||||
\(792\) | 534.092 | + | 986.914i | 0.674359 | + | 1.24610i | ||||
\(793\) | −156.192 | − | 270.532i | −0.196963 | − | 0.341150i | ||||
\(794\) | −212.815 | − | 584.705i | −0.268029 | − | 0.736404i | ||||
\(795\) | −0.577920 | + | 41.9412i | −0.000726943 | + | 0.0527562i | ||||
\(796\) | 184.748 | − | 155.022i | 0.232095 | − | 0.194751i | ||||
\(797\) | −711.152 | − | 847.519i | −0.892287 | − | 1.06339i | −0.997620 | − | 0.0689489i | \(-0.978035\pi\) |
0.105334 | − | 0.994437i | \(-0.466409\pi\) | |||||||
\(798\) | −412.749 | − | 738.208i | −0.517229 | − | 0.925072i | ||||
\(799\) | 393.977 | − | 143.396i | 0.493088 | − | 0.179469i | ||||
\(800\) | −663.943 | + | 383.327i | −0.829928 | + | 0.479159i | ||||
\(801\) | 318.841 | − | 47.2024i | 0.398054 | − | 0.0589294i | ||||
\(802\) | 416.830 | − | 721.971i | 0.519738 | − | 0.900213i | ||||
\(803\) | −30.3440 | − | 5.35047i | −0.0377883 | − | 0.00666310i | ||||
\(804\) | 6.90652 | − | 18.1916i | 0.00859019 | − | 0.0226264i | ||||
\(805\) | −67.8248 | − | 24.6862i | −0.0842544 | − | 0.0306661i | ||||
\(806\) | 203.098 | − | 35.8117i | 0.251983 | − | 0.0444313i | ||||
\(807\) | −946.253 | + | 329.716i | −1.17256 | + | 0.408570i | ||||
\(808\) | 534.566 | + | 448.554i | 0.661591 | + | 0.555141i | ||||
\(809\) | 384.421i | 0.475180i | 0.971365 | + | 0.237590i | \(0.0763575\pi\) | ||||
−0.971365 | + | 0.237590i | \(0.923642\pi\) | |||||||
\(810\) | −44.1500 | + | 13.3652i | −0.0545062 | + | 0.0165002i | ||||
\(811\) | −575.544 | −0.709672 | −0.354836 | − | 0.934929i | \(-0.615463\pi\) | ||||
−0.354836 | + | 0.934929i | \(0.615463\pi\) | |||||||
\(812\) | 192.548 | − | 229.470i | 0.237128 | − | 0.282598i | ||||
\(813\) | 421.589 | + | 1209.92i | 0.518560 | + | 1.48822i | ||||
\(814\) | −36.5052 | − | 207.031i | −0.0448467 | − | 0.254338i | ||||
\(815\) | −5.87092 | + | 16.1302i | −0.00720358 | + | 0.0197917i | ||||
\(816\) | −20.3337 | − | 7.71976i | −0.0249188 | − | 0.00946049i | ||||
\(817\) | 34.3459 | − | 194.785i | 0.0420390 | − | 0.238415i | ||||
\(818\) | 308.351 | + | 178.027i | 0.376957 | + | 0.217636i | ||||
\(819\) | 486.204 | + | 192.295i | 0.593656 | + | 0.234792i | ||||
\(820\) | −11.0965 | − | 19.2197i | −0.0135323 | − | 0.0234386i | ||||
\(821\) | 289.592 | + | 795.647i | 0.352730 | + | 0.969119i | 0.981489 | + | 0.191518i | \(0.0613412\pi\) |
−0.628759 | + | 0.777601i | \(0.716437\pi\) | |||||||
\(822\) | −469.507 | + | 262.512i | −0.571176 | + | 0.319358i | ||||
\(823\) | −949.853 | + | 797.021i | −1.15413 | + | 0.968434i | −0.999808 | − | 0.0195862i | \(-0.993765\pi\) |
−0.154326 | + | 0.988020i | \(0.549321\pi\) | |||||||
\(824\) | −232.524 | − | 277.111i | −0.282189 | − | 0.336300i | ||||
\(825\) | −1129.93 | − | 15.5697i | −1.36962 | − | 0.0188723i | ||||
\(826\) | 404.580 | − | 147.255i | 0.489806 | − | 0.178275i | ||||
\(827\) | 989.439 | − | 571.253i | 1.19642 | − | 0.690753i | 0.236664 | − | 0.971592i | \(-0.423946\pi\) |
0.959755 | + | 0.280839i | \(0.0906126\pi\) | |||||||
\(828\) | 479.101 | + | 294.502i | 0.578625 | + | 0.355678i | ||||
\(829\) | −150.614 | + | 260.872i | −0.181682 | + | 0.314683i | −0.942453 | − | 0.334337i | \(-0.891487\pi\) |
0.760771 | + | 0.649020i | \(0.224821\pi\) | |||||||
\(830\) | 69.3877 | + | 12.2349i | 0.0835996 | + | 0.0147409i | ||||
\(831\) | 825.467 | − | 133.853i | 0.993342 | − | 0.161074i | ||||
\(832\) | −414.905 | − | 151.013i | −0.498684 | − | 0.181506i | ||||
\(833\) | 57.2945 | − | 10.1026i | 0.0687809 | − | 0.0121279i | ||||
\(834\) | −66.8838 | + | 350.968i | −0.0801964 | + | 0.420826i | ||||
\(835\) | 43.7395 | + | 36.7018i | 0.0523826 | + | 0.0439542i | ||||
\(836\) | − | 1242.82i | − | 1.48663i | ||||||
\(837\) | 170.307 | − | 413.845i | 0.203473 | − | 0.494439i | ||||
\(838\) | 175.410 | 0.209320 | ||||||||
\(839\) | −22.7916 | + | 27.1619i | −0.0271652 | + | 0.0323742i | −0.779456 | − | 0.626457i | \(-0.784504\pi\) |
0.752291 | + | 0.658831i | \(0.228949\pi\) | |||||||
\(840\) | 42.7941 | − | 49.5960i | 0.0509454 | − | 0.0590428i | ||||
\(841\) | 66.6022 | + | 377.720i | 0.0791941 | + | 0.449132i | ||||
\(842\) | −151.336 | + | 415.793i | −0.179734 | + | 0.493816i | ||||
\(843\) | 980.957 | − | 800.350i | 1.16365 | − | 0.949406i | ||||
\(844\) | −118.311 | + | 670.977i | −0.140179 | + | 0.794996i | ||||
\(845\) | 29.4560 | + | 17.0064i | 0.0348592 | + | 0.0201260i | ||||
\(846\) | −203.273 | + | 992.123i | −0.240275 | + | 1.17272i | ||||
\(847\) | −333.201 | − | 577.121i | −0.393390 | − | 0.681371i | ||||
\(848\) | −16.3391 | − | 44.8913i | −0.0192678 | − | 0.0529379i | ||||
\(849\) | −1202.81 | − | 716.717i | −1.41673 | − | 0.844190i | ||||
\(850\) | 120.239 | − | 100.893i | 0.141458 | − | 0.118697i | ||||
\(851\) | −185.397 | − | 220.948i | −0.217858 | − | 0.259633i | ||||
\(852\) | −408.702 | + | 685.892i | −0.479698 | + | 0.805038i | ||||
\(853\) | −1351.40 | + | 491.869i | −1.58429 | + | 0.576635i | −0.976132 | − | 0.217180i | \(-0.930314\pi\) |
−0.608159 | + | 0.793815i | \(0.708092\pi\) | |||||||
\(854\) | −224.629 | + | 129.689i | −0.263031 | + | 0.151861i | ||||
\(855\) | 137.016 | + | 28.0728i | 0.160253 | + | 0.0328337i | ||||
\(856\) | −226.488 | + | 392.289i | −0.264589 | + | 0.458281i | ||||
\(857\) | −390.609 | − | 68.8749i | −0.455786 | − | 0.0803674i | −0.0589584 | − | 0.998260i | \(-0.518778\pi\) |
−0.396828 | + | 0.917893i | \(0.629889\pi\) | |||||||
\(858\) | −358.284 | − | 439.134i | −0.417581 | − | 0.511812i | ||||
\(859\) | −164.628 | − | 59.9198i | −0.191651 | − | 0.0697553i | 0.244412 | − | 0.969672i | \(-0.421405\pi\) |
−0.436063 | + | 0.899916i | \(0.643627\pi\) | |||||||
\(860\) | 5.51078 | − | 0.971699i | 0.00640788 | − | 0.00112988i | ||||
\(861\) | −304.856 | − | 263.047i | −0.354072 | − | 0.305513i | ||||
\(862\) | 369.069 | + | 309.685i | 0.428154 | + | 0.359264i | ||||
\(863\) | 220.638i | 0.255664i | 0.991796 | + | 0.127832i | \(0.0408018\pi\) | ||||
−0.991796 | + | 0.127832i | \(0.959198\pi\) | |||||||
\(864\) | −660.775 | + | 509.447i | −0.764785 | + | 0.589638i | ||||
\(865\) | −37.4940 | −0.0433457 | ||||||||
\(866\) | 463.558 | − | 552.447i | 0.535287 | − | 0.637930i | ||||
\(867\) | 782.204 | + | 149.064i | 0.902196 | + | 0.171931i | ||||
\(868\) | 40.3103 | + | 228.611i | 0.0464404 | + | 0.263377i | ||||
\(869\) | −384.073 | + | 1055.23i | −0.441971 | + | 1.21431i | ||||
\(870\) | −5.84886 | − | 36.0698i | −0.00672282 | − | 0.0414596i | ||||
\(871\) | −4.67192 | + | 26.4958i | −0.00536386 | + | 0.0304200i | ||||
\(872\) | 764.376 | + | 441.313i | 0.876578 | + | 0.506093i | ||||
\(873\) | 378.749 | − | 616.157i | 0.433848 | − | 0.705793i | ||||
\(874\) | 628.903 | + | 1089.29i | 0.719569 | + | 1.24633i | ||||
\(875\) | 45.2973 | + | 124.453i | 0.0517683 | + | 0.142232i | ||||
\(876\) | 0.193090 | − | 14.0131i | 0.000220423 | − | 0.0159967i | ||||
\(877\) | −512.371 | + | 429.931i | −0.584232 | + | 0.490229i | −0.886334 | − | 0.463047i | \(-0.846756\pi\) |
0.302102 | + | 0.953276i | \(0.402312\pi\) | |||||||
\(878\) | 565.537 | + | 673.981i | 0.644120 | + | 0.767632i | ||||
\(879\) | 16.0587 | + | 28.7212i | 0.0182693 | + | 0.0326749i | ||||
\(880\) | −9.31077 | + | 3.38884i | −0.0105804 | + | 0.00385096i | ||||
\(881\) | 750.509 | − | 433.306i | 0.851883 | − | 0.491835i | −0.00940287 | − | 0.999956i | \(-0.502993\pi\) |
0.861286 | + | 0.508121i | \(0.169660\pi\) | |||||||
\(882\) | −51.6846 | + | 130.681i | −0.0585993 | + | 0.148164i | ||||
\(883\) | 93.3464 | − | 161.681i | 0.105715 | − | 0.183104i | −0.808315 | − | 0.588750i | \(-0.799620\pi\) |
0.914030 | + | 0.405646i | \(0.132954\pi\) | |||||||
\(884\) | −105.096 | − | 18.5313i | −0.118887 | − | 0.0209630i | ||||
\(885\) | −25.2709 | + | 66.5630i | −0.0285547 | + | 0.0752124i | ||||
\(886\) | −679.407 | − | 247.284i | −0.766825 | − | 0.279102i | ||||
\(887\) | −1024.47 | + | 180.642i | −1.15499 | + | 0.203655i | −0.718152 | − | 0.695886i | \(-0.755012\pi\) |
−0.436835 | + | 0.899542i | \(0.643901\pi\) | |||||||
\(888\) | 247.192 | − | 86.1324i | 0.278369 | − | 0.0969959i | ||||
\(889\) | −595.433 | − | 499.627i | −0.669778 | − | 0.562011i | ||||
\(890\) | 20.3951i | 0.0229158i | ||||||||
\(891\) | −1221.08 | + | 146.518i | −1.37046 | + | 0.164442i | ||||
\(892\) | 702.457 | 0.787508 | ||||||||
\(893\) | 1973.76 | − | 2352.23i | 2.21025 | − | 2.63408i | ||||
\(894\) | −41.0145 | − | 117.708i | −0.0458775 | − | 0.131664i | ||||
\(895\) | 19.0996 | + | 108.319i | 0.0213403 | + | 0.121027i | ||||
\(896\) | 131.831 | − | 362.202i | 0.147132 | − | 0.404243i | ||||
\(897\) | −726.949 | − | 275.989i | −0.810423 | − | 0.307680i | ||||
\(898\) | 134.386 | − | 762.140i | 0.149650 | − | 0.848708i | ||||
\(899\) | 307.009 | + | 177.252i | 0.341500 | + | 0.197165i | ||||
\(900\) | −75.2714 | − | 508.440i | −0.0836348 | − | 0.564934i | ||||
\(901\) | −77.6657 | − | 134.521i | −0.0861994 | − | 0.149302i | ||||
\(902\) | 149.279 | + | 410.142i | 0.165498 | + | 0.454703i | ||||
\(903\) | 88.6156 | − | 49.5470i | 0.0981347 | − | 0.0548693i | ||||
\(904\) | 173.383 | − | 145.486i | 0.191796 | − | 0.160936i | ||||
\(905\) | −63.9231 | − | 76.1806i | −0.0706332 | − | 0.0841774i | ||||
\(906\) | −558.556 | − | 7.69650i | −0.616508 | − | 0.00849504i | ||||
\(907\) | −59.4958 | + | 21.6547i | −0.0655963 | + | 0.0238751i | −0.374610 | − | 0.927183i | \(-0.622223\pi\) |
0.309014 | + | 0.951058i | \(0.400001\pi\) | |||||||
\(908\) | −189.361 | + | 109.328i | −0.208547 | + | 0.120405i | ||||
\(909\) | −672.608 | + | 363.998i | −0.739943 | + | 0.400438i | ||||
\(910\) | −16.5421 | + | 28.6517i | −0.0181781 | + | 0.0314854i | ||||
\(911\) | −1310.62 | − | 231.099i | −1.43867 | − | 0.253676i | −0.600734 | − | 0.799449i | \(-0.705125\pi\) |
−0.837933 | + | 0.545774i | \(0.816236\pi\) | |||||||
\(912\) | −157.239 | + | 25.4969i | −0.172411 | + | 0.0279571i | ||||
\(913\) | 1765.21 | + | 642.482i | 1.93341 | + | 0.703704i | ||||
\(914\) | 479.266 | − | 84.5076i | 0.524361 | − | 0.0924591i | ||||
\(915\) | 8.02961 | − | 42.1349i | 0.00877553 | − | 0.0460490i | ||||
\(916\) | 202.911 | + | 170.263i | 0.221519 | + | 0.185876i | ||||
\(917\) | − | 292.856i | − | 0.319363i | ||||||
\(918\) | 115.117 | − | 126.209i | 0.125400 | − | 0.137483i | ||||
\(919\) | 351.465 | 0.382443 | 0.191222 | − | 0.981547i | \(-0.438755\pi\) | ||||
0.191222 | + | 0.981547i | \(0.438755\pi\) | |||||||
\(920\) | −62.6207 | + | 74.6284i | −0.0680660 | + | 0.0811179i | ||||
\(921\) | 554.064 | − | 642.128i | 0.601590 | − | 0.697208i | ||||
\(922\) | 94.3905 | + | 535.315i | 0.102376 | + | 0.580602i | ||||
\(923\) | 377.574 | − | 1037.38i | 0.409072 | − | 1.12392i | ||||
\(924\) | 494.298 | − | 403.291i | 0.534955 | − | 0.436463i | ||||
\(925\) | −45.7747 | + | 259.601i | −0.0494861 | + | 0.280650i | ||||
\(926\) | 307.948 | + | 177.794i | 0.332558 | + | 0.192002i | ||||
\(927\) | 376.139 | − | 125.279i | 0.405760 | − | 0.135144i | ||||
\(928\) | −330.471 | − | 572.393i | −0.356111 | − | 0.616803i | ||||
\(929\) | −25.3866 | − | 69.7490i | −0.0273268 | − | 0.0750797i | 0.925279 | − | 0.379287i | \(-0.123831\pi\) |
−0.952606 | + | 0.304207i | \(0.901608\pi\) | |||||||
\(930\) | 24.3262 | + | 14.4953i | 0.0261572 | + | 0.0155863i | ||||
\(931\) | 326.404 | − | 273.885i | 0.350595 | − | 0.294184i | ||||
\(932\) | 62.0570 | + | 73.9567i | 0.0665848 | + | 0.0793527i | ||||
\(933\) | 112.283 | − | 188.435i | 0.120346 | − | 0.201967i | ||||
\(934\) | 122.189 | − | 44.4730i | 0.130823 | − | 0.0476156i | ||||
\(935\) | −27.9006 | + | 16.1084i | −0.0298402 | + | 0.0172282i | ||||
\(936\) | 468.343 | − | 527.899i | 0.500367 | − | 0.563995i | ||||
\(937\) | −808.594 | + | 1400.53i | −0.862961 | + | 1.49469i | 0.00609719 | + | 0.999981i | \(0.498059\pi\) |
−0.869058 | + | 0.494710i | \(0.835274\pi\) | |||||||
\(938\) | 22.0000 | + | 3.87919i | 0.0234542 | + | 0.00413560i | ||||
\(939\) | −313.378 | − | 384.095i | −0.333736 | − | 0.409047i | ||||
\(940\) | 81.6336 | + | 29.7122i | 0.0868443 | + | 0.0316087i | ||||
\(941\) | 1195.85 | − | 210.861i | 1.27083 | − | 0.224082i | 0.502748 | − | 0.864433i | \(-0.332322\pi\) |
0.768082 | + | 0.640351i | \(0.221211\pi\) | |||||||
\(942\) | 285.545 | + | 246.384i | 0.303127 | + | 0.261554i | ||||
\(943\) | 458.726 | + | 384.917i | 0.486454 | + | 0.408183i | ||||
\(944\) | − | 81.0898i | − | 0.0859002i | ||||||
\(945\) | 33.2961 | + | 63.6040i | 0.0352340 | + | 0.0673058i | ||||
\(946\) | −110.051 | −0.116333 | ||||||||
\(947\) | −647.514 | + | 771.677i | −0.683753 | + | 0.814865i | −0.990585 | − | 0.136899i | \(-0.956286\pi\) |
0.306832 | + | 0.951764i | \(0.400731\pi\) | |||||||
\(948\) | −501.729 | − | 95.6141i | −0.529250 | − | 0.100859i | ||||
\(949\) | 3.36480 | + | 19.0828i | 0.00354563 | + | 0.0201083i | ||||
\(950\) | 393.174 | − | 1080.24i | 0.413867 | − | 1.13709i | ||||
\(951\) | 75.3939 | + | 464.953i | 0.0792785 | + | 0.488910i | ||||
\(952\) | −42.1242 | + | 238.898i | −0.0442481 | + | 0.250943i | ||||
\(953\) | −1029.21 | − | 594.215i | −1.07997 | − | 0.623521i | −0.149082 | − | 0.988825i | \(-0.547632\pi\) |
−0.930888 | + | 0.365304i | \(0.880965\pi\) | |||||||
\(954\) | 375.062 | + | 10.3381i | 0.393147 | + | 0.0108366i | ||||
\(955\) | −39.5222 | − | 68.4545i | −0.0413845 | − | 0.0716801i | ||||
\(956\) | 25.3507 | + | 69.6504i | 0.0265174 | + | 0.0728561i | ||||
\(957\) | 13.4228 | − | 974.130i | 0.0140259 | − | 1.01790i | ||||
\(958\) | 479.129 | − | 402.037i | 0.500135 | − | 0.419663i | ||||
\(959\) | 538.127 | + | 641.315i | 0.561133 | + | 0.668733i | ||||
\(960\) | −29.5870 | − | 52.9168i | −0.0308198 | − | 0.0551217i | ||||
\(961\) | 644.890 | − | 234.721i | 0.671061 | − | 0.244246i | ||||
\(962\) | −114.494 | + | 66.1032i | −0.119017 | + | 0.0687144i | ||||
\(963\) | −308.506 | − | 388.944i | −0.320360 | − | 0.403888i | ||||
\(964\) | 164.838 | − | 285.508i | 0.170994 | − | 0.296171i | ||||
\(965\) | −83.7178 | − | 14.7617i | −0.0867542 | − | 0.0152971i | ||||
\(966\) | −229.159 | + | 603.601i | −0.237225 | + | 0.624846i | ||||
\(967\) | 238.266 | + | 86.7216i | 0.246397 | + | 0.0896810i | 0.462266 | − | 0.886741i | \(-0.347036\pi\) |
−0.215870 | + | 0.976422i | \(0.569259\pi\) | |||||||
\(968\) | −885.799 | + | 156.190i | −0.915082 | + | 0.161354i | ||||
\(969\) | −489.098 | + | 170.423i | −0.504745 | + | 0.175875i | ||||
\(970\) | 35.0582 | + | 29.4173i | 0.0361425 | + | 0.0303271i | ||||
\(971\) | 1630.38i | 1.67907i | 0.543302 | + | 0.839537i | \(0.317174\pi\) | ||||
−0.543302 | + | 0.839537i | \(0.682826\pi\) | |||||||
\(972\) | −154.680 | − | 537.562i | −0.159135 | − | 0.553048i | ||||
\(973\) | 556.059 | 0.571489 | ||||||||
\(974\) | −255.822 | + | 304.877i | −0.262651 | + | 0.313016i | ||||
\(975\) | 233.836 | + | 671.088i | 0.239832 | + | 0.688296i | ||||
\(976\) | 8.48306 | + | 48.1098i | 0.00869166 | + | 0.0492929i | ||||
\(977\) | 28.0987 | − | 77.2005i | 0.0287601 | − | 0.0790179i | −0.924482 | − | 0.381227i | \(-0.875502\pi\) |
0.953242 | + | 0.302209i | \(0.0977240\pi\) | |||||||
\(978\) | 143.550 | + | 54.4991i | 0.146779 | + | 0.0557251i | ||||
\(979\) | −94.4222 | + | 535.495i | −0.0964476 | + | 0.546981i | ||||
\(980\) | 10.4397 | + | 6.02738i | 0.0106528 | + | 0.00615039i | ||||
\(981\) | −757.859 | + | 601.126i | −0.772537 | + | 0.612769i | ||||
\(982\) | −222.299 | − | 385.033i | −0.226373 | − | 0.392090i | ||||
\(983\) | 177.147 | + | 486.707i | 0.180210 | + | 0.495124i | 0.996601 | − | 0.0823757i | \(-0.0262507\pi\) |
−0.816391 | + | 0.577500i | \(0.804029\pi\) | |||||||
\(984\) | −474.364 | + | 265.228i | −0.482077 | + | 0.269540i | ||||
\(985\) | 86.8536 | − | 72.8788i | 0.0881762 | − | 0.0739886i | ||||
\(986\) | 86.9810 | + | 103.660i | 0.0882160 | + | 0.105132i | ||||
\(987\) | 1576.01 | + | 21.7163i | 1.59677 | + | 0.0220024i | ||||
\(988\) | −734.450 | + | 267.318i | −0.743370 | + | 0.270565i | ||||
\(989\) | −130.760 | + | 75.4945i | −0.132215 | + | 0.0763342i | ||||
\(990\) | 2.14420 | − | 77.7905i | 0.00216586 | − | 0.0785763i | ||||
\(991\) | −35.3222 | + | 61.1798i | −0.0356430 | + | 0.0617354i | −0.883297 | − | 0.468815i | \(-0.844681\pi\) |
0.847654 | + | 0.530550i | \(0.178015\pi\) | |||||||
\(992\) | 504.416 | + | 88.9422i | 0.508484 | + | 0.0896595i | ||||
\(993\) | −1441.04 | + | 233.671i | −1.45120 | + | 0.235318i | ||||
\(994\) | −861.354 | − | 313.507i | −0.866554 | − | 0.315400i | ||||
\(995\) | −45.0911 | + | 7.95078i | −0.0453177 | + | 0.00799073i | ||||
\(996\) | −159.945 | + | 839.298i | −0.160587 | + | 0.842669i | ||||
\(997\) | −1188.82 | − | 997.538i | −1.19240 | − | 1.00054i | −0.999815 | − | 0.0192585i | \(-0.993869\pi\) |
−0.192582 | − | 0.981281i | \(-0.561686\pi\) | |||||||
\(998\) | 431.736i | 0.432601i | ||||||||
\(999\) | −11.8551 | + | 286.641i | −0.0118670 | + | 0.286928i |
(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 | 27.3.f.a.11.4 | yes | 30 | |
3.2 | odd | 2 | 81.3.f.a.35.2 | 30 | |||
4.3 | odd | 2 | 432.3.bc.a.65.3 | 30 | |||
9.2 | odd | 6 | 243.3.f.b.26.4 | 30 | |||
9.4 | even | 3 | 243.3.f.d.188.4 | 30 | |||
9.5 | odd | 6 | 243.3.f.a.188.2 | 30 | |||
9.7 | even | 3 | 243.3.f.c.26.2 | 30 | |||
27.4 | even | 9 | 243.3.f.b.215.4 | 30 | |||
27.5 | odd | 18 | inner | 27.3.f.a.5.4 | ✓ | 30 | |
27.7 | even | 9 | 729.3.b.a.728.11 | 30 | |||
27.13 | even | 9 | 243.3.f.a.53.2 | 30 | |||
27.14 | odd | 18 | 243.3.f.d.53.4 | 30 | |||
27.20 | odd | 18 | 729.3.b.a.728.20 | 30 | |||
27.22 | even | 9 | 81.3.f.a.44.2 | 30 | |||
27.23 | odd | 18 | 243.3.f.c.215.2 | 30 | |||
108.59 | even | 18 | 432.3.bc.a.113.3 | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.3.f.a.5.4 | ✓ | 30 | 27.5 | odd | 18 | inner | |
27.3.f.a.11.4 | yes | 30 | 1.1 | even | 1 | trivial | |
81.3.f.a.35.2 | 30 | 3.2 | odd | 2 | |||
81.3.f.a.44.2 | 30 | 27.22 | even | 9 | |||
243.3.f.a.53.2 | 30 | 27.13 | even | 9 | |||
243.3.f.a.188.2 | 30 | 9.5 | odd | 6 | |||
243.3.f.b.26.4 | 30 | 9.2 | odd | 6 | |||
243.3.f.b.215.4 | 30 | 27.4 | even | 9 | |||
243.3.f.c.26.2 | 30 | 9.7 | even | 3 | |||
243.3.f.c.215.2 | 30 | 27.23 | odd | 18 | |||
243.3.f.d.53.4 | 30 | 27.14 | odd | 18 | |||
243.3.f.d.188.4 | 30 | 9.4 | even | 3 | |||
432.3.bc.a.65.3 | 30 | 4.3 | odd | 2 | |||
432.3.bc.a.113.3 | 30 | 108.59 | even | 18 | |||
729.3.b.a.728.11 | 30 | 27.7 | even | 9 | |||
729.3.b.a.728.20 | 30 | 27.20 | odd | 18 |