Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,3,Mod(5,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([23]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.h (of order \(54\), degree \(18\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.41418028264\) |
Analytic rank: | \(0\) |
Dimension: | \(324\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 5.14 | ||
Character | \(\chi\) | \(=\) | 162.5 |
Dual form | 162.3.h.a.65.14 |
$q$-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 \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{23}{54}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.326140 | + | 1.37609i | 0.163070 | + | 0.688047i | ||||
\(3\) | −0.0281193 | − | 2.99987i | −0.00937309 | − | 0.999956i | ||||
\(4\) | −1.78727 | + | 0.897598i | −0.446816 | + | 0.224400i | ||||
\(5\) | 1.73126 | − | 1.28887i | 0.346251 | − | 0.257774i | −0.409958 | − | 0.912104i | \(-0.634457\pi\) |
0.756209 | + | 0.654330i | \(0.227049\pi\) | |||||||
\(6\) | 4.11893 | − | 1.01707i | 0.686488 | − | 0.169512i | ||||
\(7\) | 3.67681 | − | 2.41828i | 0.525259 | − | 0.345468i | −0.259025 | − | 0.965871i | \(-0.583401\pi\) |
0.784284 | + | 0.620402i | \(0.213031\pi\) | |||||||
\(8\) | −1.81808 | − | 2.16670i | −0.227260 | − | 0.270838i | ||||
\(9\) | −8.99842 | + | 0.168708i | −0.999824 | + | 0.0187454i | ||||
\(10\) | 2.33824 | + | 1.96202i | 0.233824 | + | 0.196202i | ||||
\(11\) | 1.53316 | − | 13.1170i | 0.139378 | − | 1.19246i | −0.724687 | − | 0.689078i | \(-0.758016\pi\) |
0.864066 | − | 0.503379i | \(-0.167910\pi\) | |||||||
\(12\) | 2.74293 | + | 5.33632i | 0.228578 | + | 0.444693i | ||||
\(13\) | −2.24917 | − | 7.51277i | −0.173013 | − | 0.577905i | −0.999880 | − | 0.0155066i | \(-0.995064\pi\) |
0.826866 | − | 0.562399i | \(-0.190121\pi\) | |||||||
\(14\) | 4.52693 | + | 4.27094i | 0.323352 | + | 0.305067i | ||||
\(15\) | −3.91513 | − | 5.15730i | −0.261009 | − | 0.343820i | ||||
\(16\) | 2.38863 | − | 3.20849i | 0.149290 | − | 0.200531i | ||||
\(17\) | 32.0200 | + | 5.64599i | 1.88353 | + | 0.332117i | 0.992541 | − | 0.121908i | \(-0.0389013\pi\) |
0.890989 | + | 0.454025i | \(0.150012\pi\) | |||||||
\(18\) | −3.16690 | − | 12.3276i | −0.175939 | − | 0.684869i | ||||
\(19\) | −4.44548 | − | 25.2116i | −0.233973 | − | 1.32693i | −0.844766 | − | 0.535136i | \(-0.820260\pi\) |
0.610793 | − | 0.791790i | \(-0.290851\pi\) | |||||||
\(20\) | −1.93732 | + | 3.85753i | −0.0968662 | + | 0.192876i | ||||
\(21\) | −7.35791 | − | 10.9620i | −0.350376 | − | 0.521998i | ||||
\(22\) | 18.5503 | − | 2.16822i | 0.843194 | − | 0.0985553i | ||||
\(23\) | −2.91523 | + | 4.43240i | −0.126749 | + | 0.192713i | −0.893287 | − | 0.449486i | \(-0.851607\pi\) |
0.766538 | + | 0.642199i | \(0.221978\pi\) | |||||||
\(24\) | −6.44869 | + | 5.51492i | −0.268696 | + | 0.229788i | ||||
\(25\) | −5.83403 | + | 19.4870i | −0.233361 | + | 0.779480i | ||||
\(26\) | 9.60472 | − | 5.54529i | 0.369412 | − | 0.213280i | ||||
\(27\) | 0.759131 | + | 26.9893i | 0.0281160 | + | 0.999605i | ||||
\(28\) | −4.40080 | + | 7.62241i | −0.157171 | + | 0.272229i | ||||
\(29\) | 7.70155 | − | 7.26604i | 0.265571 | − | 0.250553i | −0.541925 | − | 0.840427i | \(-0.682304\pi\) |
0.807495 | + | 0.589874i | \(0.200823\pi\) | |||||||
\(30\) | 5.82004 | − | 7.06958i | 0.194001 | − | 0.235653i | ||||
\(31\) | −1.26519 | + | 21.7226i | −0.0408127 | + | 0.700728i | 0.914401 | + | 0.404810i | \(0.132662\pi\) |
−0.955214 | + | 0.295917i | \(0.904375\pi\) | |||||||
\(32\) | 5.19421 | + | 2.24057i | 0.162319 | + | 0.0700177i | ||||
\(33\) | −39.3925 | − | 4.23044i | −1.19371 | − | 0.128195i | ||||
\(34\) | 2.67360 | + | 45.9039i | 0.0786352 | + | 1.35012i | ||||
\(35\) | 3.24865 | − | 8.92560i | 0.0928186 | − | 0.255017i | ||||
\(36\) | 15.9311 | − | 8.37849i | 0.442531 | − | 0.232736i | ||||
\(37\) | −43.5271 | + | 15.8426i | −1.17641 | + | 0.428178i | −0.854932 | − | 0.518739i | \(-0.826402\pi\) |
−0.321477 | + | 0.946917i | \(0.604179\pi\) | |||||||
\(38\) | 33.2436 | − | 14.3399i | 0.874833 | − | 0.377366i | ||||
\(39\) | −22.4741 | + | 6.95848i | −0.576258 | + | 0.178423i | ||||
\(40\) | −5.94016 | − | 1.40784i | −0.148504 | − | 0.0351961i | ||||
\(41\) | −3.35858 | + | 14.1709i | −0.0819165 | + | 0.345633i | −0.998534 | − | 0.0541331i | \(-0.982760\pi\) |
0.916617 | + | 0.399766i | \(0.130909\pi\) | |||||||
\(42\) | 12.6850 | − | 13.7003i | 0.302023 | − | 0.326198i | ||||
\(43\) | 5.82117 | + | 13.4950i | 0.135376 | + | 0.313837i | 0.972396 | − | 0.233335i | \(-0.0749638\pi\) |
−0.837020 | + | 0.547172i | \(0.815704\pi\) | |||||||
\(44\) | 9.03366 | + | 24.8198i | 0.205310 | + | 0.564086i | ||||
\(45\) | −15.3611 | + | 11.8899i | −0.341358 | + | 0.264220i | ||||
\(46\) | −7.05016 | − | 2.56605i | −0.153264 | − | 0.0557837i | ||||
\(47\) | 91.8452 | − | 5.34938i | 1.95415 | − | 0.113817i | 0.965149 | − | 0.261700i | \(-0.0842832\pi\) |
0.989005 | + | 0.147884i | \(0.0472462\pi\) | |||||||
\(48\) | −9.69222 | − | 7.07537i | −0.201921 | − | 0.147403i | ||||
\(49\) | −11.7370 | + | 27.2095i | −0.239531 | + | 0.555295i | ||||
\(50\) | −28.7186 | − | 1.67267i | −0.574373 | − | 0.0334534i | ||||
\(51\) | 16.0369 | − | 96.2146i | 0.314448 | − | 1.88656i | ||||
\(52\) | 10.7633 | + | 11.4085i | 0.206987 | + | 0.219393i | ||||
\(53\) | −29.2207 | − | 16.8706i | −0.551335 | − | 0.318313i | 0.198326 | − | 0.980136i | \(-0.436450\pi\) |
−0.749660 | + | 0.661823i | \(0.769783\pi\) | |||||||
\(54\) | −36.8922 | + | 9.84694i | −0.683190 | + | 0.182351i | ||||
\(55\) | −14.2519 | − | 24.6850i | −0.259125 | − | 0.448818i | ||||
\(56\) | −11.9244 | − | 3.56994i | −0.212936 | − | 0.0637489i | ||||
\(57\) | −75.5064 | + | 14.0448i | −1.32467 | + | 0.246400i | ||||
\(58\) | 12.5105 | + | 8.22830i | 0.215699 | + | 0.141867i | ||||
\(59\) | 3.98204 | + | 34.0685i | 0.0674922 | + | 0.577433i | 0.984096 | + | 0.177636i | \(0.0568451\pi\) |
−0.916604 | + | 0.399796i | \(0.869081\pi\) | |||||||
\(60\) | 11.6266 | + | 5.70324i | 0.193776 | + | 0.0950541i | ||||
\(61\) | −25.1469 | − | 12.6293i | −0.412244 | − | 0.207037i | 0.230575 | − | 0.973055i | \(-0.425939\pi\) |
−0.642820 | + | 0.766018i | \(0.722236\pi\) | |||||||
\(62\) | −30.3049 | + | 5.34357i | −0.488789 | + | 0.0861866i | ||||
\(63\) | −32.6775 | + | 22.3810i | −0.518691 | + | 0.355254i | ||||
\(64\) | −1.38919 | + | 7.87846i | −0.0217060 | + | 0.123101i | ||||
\(65\) | −13.5769 | − | 10.1076i | −0.208875 | − | 0.155502i | ||||
\(66\) | −7.02598 | − | 55.5874i | −0.106454 | − | 0.842233i | ||||
\(67\) | −62.5083 | + | 66.2549i | −0.932959 | + | 0.988879i | −0.999961 | − | 0.00887408i | \(-0.997175\pi\) |
0.0670016 | + | 0.997753i | \(0.478657\pi\) | |||||||
\(68\) | −62.2961 | + | 18.6502i | −0.916119 | + | 0.274268i | ||||
\(69\) | 13.3786 | + | 8.62068i | 0.193892 | + | 0.124937i | ||||
\(70\) | 13.3420 | + | 1.55945i | 0.190600 | + | 0.0222779i | ||||
\(71\) | 21.0685 | − | 25.1084i | 0.296739 | − | 0.353640i | −0.596988 | − | 0.802250i | \(-0.703636\pi\) |
0.893728 | + | 0.448610i | \(0.148081\pi\) | |||||||
\(72\) | 16.7254 | + | 19.1902i | 0.232297 | + | 0.266530i | ||||
\(73\) | −39.6029 | + | 33.2308i | −0.542506 | + | 0.455216i | −0.872394 | − | 0.488804i | \(-0.837433\pi\) |
0.329888 | + | 0.944020i | \(0.392989\pi\) | |||||||
\(74\) | −35.9968 | − | 54.7305i | −0.486444 | − | 0.739602i | ||||
\(75\) | 58.6225 | + | 16.9533i | 0.781633 | + | 0.226045i | ||||
\(76\) | 30.5751 | + | 41.0695i | 0.402304 | + | 0.540389i | ||||
\(77\) | −26.0835 | − | 51.9365i | −0.338746 | − | 0.674499i | ||||
\(78\) | −16.9052 | − | 28.6570i | −0.216733 | − | 0.367397i | ||||
\(79\) | 117.544 | − | 27.8584i | 1.48790 | − | 0.352638i | 0.595304 | − | 0.803501i | \(-0.297032\pi\) |
0.892593 | + | 0.450863i | \(0.148884\pi\) | |||||||
\(80\) | − | 8.63336i | − | 0.107917i | ||||||
\(81\) | 80.9431 | − | 3.03621i | 0.999297 | − | 0.0374841i | ||||
\(82\) | −20.5959 | −0.251170 | ||||||||
\(83\) | 2.39002 | + | 10.0843i | 0.0287954 | + | 0.121497i | 0.985544 | − | 0.169417i | \(-0.0541886\pi\) |
−0.956749 | + | 0.290915i | \(0.906040\pi\) | |||||||
\(84\) | 22.9900 | + | 12.9875i | 0.273690 | + | 0.154613i | ||||
\(85\) | 62.7118 | − | 31.4950i | 0.737786 | − | 0.370530i | ||||
\(86\) | −16.6718 | + | 12.4117i | −0.193859 | + | 0.144322i | ||||
\(87\) | −22.0137 | − | 22.8993i | −0.253031 | − | 0.263211i | ||||
\(88\) | −31.2081 | + | 20.5259i | −0.354637 | + | 0.233249i | ||||
\(89\) | 85.7617 | + | 102.207i | 0.963615 | + | 1.14839i | 0.988881 | + | 0.148710i | \(0.0475122\pi\) |
−0.0252661 | + | 0.999681i | \(0.508043\pi\) | |||||||
\(90\) | −21.3715 | − | 17.2606i | −0.237461 | − | 0.191784i | ||||
\(91\) | −26.4378 | − | 22.1839i | −0.290525 | − | 0.243779i | ||||
\(92\) | 1.23178 | − | 10.5386i | 0.0133889 | − | 0.114550i | ||||
\(93\) | 65.2004 | + | 3.18460i | 0.701079 | + | 0.0342430i | ||||
\(94\) | 37.3157 | + | 124.643i | 0.396975 | + | 1.32599i | ||||
\(95\) | −40.1908 | − | 37.9180i | −0.423061 | − | 0.399137i | ||||
\(96\) | 6.57534 | − | 15.6450i | 0.0684932 | − | 0.162968i | ||||
\(97\) | 56.0694 | − | 75.3143i | 0.578035 | − | 0.776436i | −0.412900 | − | 0.910776i | \(-0.635484\pi\) |
0.990935 | + | 0.134341i | \(0.0428916\pi\) | |||||||
\(98\) | −41.2707 | − | 7.27714i | −0.421129 | − | 0.0742565i | ||||
\(99\) | −11.5831 | + | 118.291i | −0.117001 | + | 1.19486i | ||||
\(100\) | −7.06455 | − | 40.0651i | −0.0706455 | − | 0.400651i | ||||
\(101\) | −25.2263 | + | 50.2297i | −0.249765 | + | 0.497324i | −0.983222 | − | 0.182412i | \(-0.941609\pi\) |
0.733457 | + | 0.679736i | \(0.237906\pi\) | |||||||
\(102\) | 137.631 | − | 9.31123i | 1.34932 | − | 0.0912865i | ||||
\(103\) | 80.5923 | − | 9.41989i | 0.782450 | − | 0.0914552i | 0.284517 | − | 0.958671i | \(-0.408167\pi\) |
0.497933 | + | 0.867216i | \(0.334093\pi\) | |||||||
\(104\) | −12.1887 | + | 18.5321i | −0.117199 | + | 0.178193i | ||||
\(105\) | −26.8670 | − | 9.49455i | −0.255876 | − | 0.0904243i | ||||
\(106\) | 13.6855 | − | 45.7126i | 0.129108 | − | 0.431251i | ||||
\(107\) | 134.801 | − | 77.8276i | 1.25983 | − | 0.727361i | 0.286785 | − | 0.957995i | \(-0.407413\pi\) |
0.973041 | + | 0.230634i | \(0.0740801\pi\) | |||||||
\(108\) | −25.5823 | − | 47.5557i | −0.236874 | − | 0.440330i | ||||
\(109\) | 31.3514 | − | 54.3022i | 0.287628 | − | 0.498186i | −0.685615 | − | 0.727964i | \(-0.740467\pi\) |
0.973243 | + | 0.229778i | \(0.0738001\pi\) | |||||||
\(110\) | 29.3207 | − | 27.6627i | 0.266552 | − | 0.251479i | ||||
\(111\) | 48.7496 | + | 130.130i | 0.439186 | + | 1.17234i | ||||
\(112\) | 1.02353 | − | 17.5734i | 0.00913870 | − | 0.156905i | ||||
\(113\) | −71.9031 | − | 31.0160i | −0.636310 | − | 0.274477i | 0.0533886 | − | 0.998574i | \(-0.482998\pi\) |
−0.689699 | + | 0.724096i | \(0.742257\pi\) | |||||||
\(114\) | −43.9526 | − | 99.3233i | −0.385549 | − | 0.871257i | ||||
\(115\) | 0.665778 | + | 11.4310i | 0.00578938 | + | 0.0993997i | ||||
\(116\) | −7.24273 | + | 19.8992i | −0.0624373 | + | 0.171545i | ||||
\(117\) | 21.5065 | + | 67.2236i | 0.183816 | + | 0.574560i | ||||
\(118\) | −45.5828 | + | 16.5908i | −0.386295 | + | 0.140600i | ||||
\(119\) | 131.385 | − | 56.6740i | 1.10408 | − | 0.476252i | ||||
\(120\) | −4.05631 | + | 17.8593i | −0.0338026 | + | 0.148827i | ||||
\(121\) | −51.9673 | − | 12.3165i | −0.429482 | − | 0.101789i | ||||
\(122\) | 9.17761 | − | 38.7234i | 0.0752263 | − | 0.317405i | ||||
\(123\) | 42.6054 | + | 9.67681i | 0.346386 | + | 0.0786733i | ||||
\(124\) | −17.2369 | − | 39.9596i | −0.139007 | − | 0.322255i | ||||
\(125\) | 33.4710 | + | 91.9607i | 0.267768 | + | 0.735686i | ||||
\(126\) | −41.4558 | − | 37.6680i | −0.329014 | − | 0.298952i | ||||
\(127\) | −82.3880 | − | 29.9868i | −0.648724 | − | 0.236116i | −0.00336363 | − | 0.999994i | \(-0.501071\pi\) |
−0.645361 | + | 0.763878i | \(0.723293\pi\) | |||||||
\(128\) | −11.2946 | + | 0.657834i | −0.0882388 | + | 0.00513933i | ||||
\(129\) | 40.3195 | − | 17.8422i | 0.312554 | − | 0.138312i | ||||
\(130\) | 9.48106 | − | 21.9796i | 0.0729312 | − | 0.169074i | ||||
\(131\) | 29.4585 | + | 1.71576i | 0.224874 | + | 0.0130974i | 0.170212 | − | 0.985407i | \(-0.445555\pi\) |
0.0546623 | + | 0.998505i | \(0.482592\pi\) | |||||||
\(132\) | 74.2020 | − | 27.7977i | 0.562136 | − | 0.210589i | ||||
\(133\) | −77.3138 | − | 81.9479i | −0.581307 | − | 0.616150i | ||||
\(134\) | −111.559 | − | 64.4088i | −0.832532 | − | 0.480663i | ||||
\(135\) | 36.1000 | + | 45.7470i | 0.267408 | + | 0.338867i | ||||
\(136\) | −45.9817 | − | 79.6426i | −0.338101 | − | 0.585608i | ||||
\(137\) | 5.68226 | + | 1.70116i | 0.0414763 | + | 0.0124172i | 0.307474 | − | 0.951556i | \(-0.400516\pi\) |
−0.265998 | + | 0.963974i | \(0.585701\pi\) | |||||||
\(138\) | −7.49957 | + | 21.2217i | −0.0543447 | + | 0.153781i | ||||
\(139\) | −143.402 | − | 94.3168i | −1.03167 | − | 0.678538i | −0.0835641 | − | 0.996502i | \(-0.526630\pi\) |
−0.948103 | + | 0.317965i | \(0.897001\pi\) | |||||||
\(140\) | 2.20540 | + | 18.8684i | 0.0157529 | + | 0.134774i | ||||
\(141\) | −18.6300 | − | 275.373i | −0.132128 | − | 1.95300i | ||||
\(142\) | 41.4228 | + | 20.8033i | 0.291710 | + | 0.146502i | ||||
\(143\) | −101.993 | + | 17.9842i | −0.713241 | + | 0.125764i | ||||
\(144\) | −20.9526 | + | 29.2743i | −0.145504 | + | 0.203294i | ||||
\(145\) | 3.96836 | − | 22.5057i | 0.0273680 | − | 0.155212i | ||||
\(146\) | −58.6448 | − | 43.6594i | −0.401676 | − | 0.299037i | ||||
\(147\) | 81.9549 | + | 34.4444i | 0.557516 | + | 0.234316i | ||||
\(148\) | 63.5743 | − | 67.3848i | 0.429556 | − | 0.455303i | ||||
\(149\) | −271.364 | + | 81.2410i | −1.82123 | + | 0.545241i | −0.999690 | − | 0.0249042i | \(-0.992072\pi\) |
−0.821544 | + | 0.570146i | \(0.806887\pi\) | |||||||
\(150\) | −4.21024 | + | 86.1992i | −0.0280683 | + | 0.574661i | ||||
\(151\) | 146.432 | + | 17.1154i | 0.969747 | + | 0.113347i | 0.586193 | − | 0.810171i | \(-0.300626\pi\) |
0.383554 | + | 0.923519i | \(0.374700\pi\) | |||||||
\(152\) | −46.5437 | + | 55.4687i | −0.306209 | + | 0.364925i | ||||
\(153\) | −289.082 | − | 45.4030i | −1.88942 | − | 0.296751i | ||||
\(154\) | 62.9625 | − | 52.8318i | 0.408848 | − | 0.343064i | ||||
\(155\) | 25.8072 | + | 39.2380i | 0.166498 | + | 0.253148i | ||||
\(156\) | 33.9212 | − | 32.6093i | 0.217444 | − | 0.209034i | ||||
\(157\) | −1.61395 | − | 2.16791i | −0.0102799 | − | 0.0138083i | 0.796954 | − | 0.604041i | \(-0.206444\pi\) |
−0.807233 | + | 0.590232i | \(0.799036\pi\) | |||||||
\(158\) | 76.6715 | + | 152.666i | 0.485263 | + | 0.966238i | ||||
\(159\) | −49.7879 | + | 88.1327i | −0.313131 | + | 0.554294i | ||||
\(160\) | 11.8803 | − | 2.81569i | 0.0742520 | − | 0.0175980i | ||||
\(161\) | 23.3469i | 0.145012i | ||||||||
\(162\) | 30.5769 | + | 110.395i | 0.188746 | + | 0.681451i | ||||
\(163\) | 93.2650 | 0.572178 | 0.286089 | − | 0.958203i | \(-0.407645\pi\) | ||||
0.286089 | + | 0.958203i | \(0.407645\pi\) | |||||||
\(164\) | −6.71715 | − | 28.3419i | −0.0409582 | − | 0.172816i | ||||
\(165\) | −73.6509 | + | 43.4479i | −0.446369 | + | 0.263320i | ||||
\(166\) | −13.0974 | + | 6.57778i | −0.0789002 | + | 0.0396252i | ||||
\(167\) | −30.7108 | + | 22.8634i | −0.183897 | + | 0.136906i | −0.685171 | − | 0.728382i | \(-0.740272\pi\) |
0.501274 | + | 0.865289i | \(0.332865\pi\) | |||||||
\(168\) | −10.3740 | + | 35.8721i | −0.0617502 | + | 0.213524i | ||||
\(169\) | 89.8146 | − | 59.0720i | 0.531447 | − | 0.349538i | ||||
\(170\) | 63.7929 | + | 76.0255i | 0.375253 | + | 0.447209i | ||||
\(171\) | 44.2557 | + | 226.114i | 0.258805 | + | 1.32231i | ||||
\(172\) | −22.5171 | − | 18.8941i | −0.130913 | − | 0.109849i | ||||
\(173\) | 31.0395 | − | 265.560i | 0.179419 | − | 1.53503i | −0.540721 | − | 0.841202i | \(-0.681849\pi\) |
0.720140 | − | 0.693828i | \(-0.244077\pi\) | |||||||
\(174\) | 24.3320 | − | 37.7613i | 0.139839 | − | 0.217019i | ||||
\(175\) | 25.6744 | + | 85.7584i | 0.146711 | + | 0.490048i | ||||
\(176\) | −38.4237 | − | 36.2509i | −0.218317 | − | 0.205971i | ||||
\(177\) | 102.089 | − | 12.9036i | 0.576775 | − | 0.0729016i | ||||
\(178\) | −112.676 | + | 151.350i | −0.633010 | + | 0.850280i | ||||
\(179\) | 257.476 | + | 45.4000i | 1.43841 | + | 0.253631i | 0.837830 | − | 0.545931i | \(-0.183824\pi\) |
0.600583 | + | 0.799562i | \(0.294935\pi\) | |||||||
\(180\) | 16.7821 | − | 35.0385i | 0.0932336 | − | 0.194658i | ||||
\(181\) | −10.2587 | − | 58.1801i | −0.0566780 | − | 0.321437i | 0.943266 | − | 0.332039i | \(-0.107736\pi\) |
−0.999944 | + | 0.0106017i | \(0.996625\pi\) | |||||||
\(182\) | 21.9047 | − | 43.6159i | 0.120356 | − | 0.239648i | ||||
\(183\) | −37.1790 | + | 75.7925i | −0.203164 | + | 0.414167i | ||||
\(184\) | 14.9038 | − | 1.74200i | 0.0809989 | − | 0.00946741i | ||||
\(185\) | −54.9375 | + | 83.5285i | −0.296960 | + | 0.451505i | ||||
\(186\) | 16.8822 | + | 90.7604i | 0.0907643 | + | 0.487959i | ||||
\(187\) | 123.150 | − | 411.351i | 0.658558 | − | 2.19974i | ||||
\(188\) | −159.350 | + | 92.0009i | −0.847607 | + | 0.489366i | ||||
\(189\) | 68.0589 | + | 97.3989i | 0.360100 | + | 0.515338i | ||||
\(190\) | 39.0709 | − | 67.6728i | 0.205637 | − | 0.356173i | ||||
\(191\) | −275.934 | + | 260.330i | −1.44468 | + | 1.36299i | −0.641748 | + | 0.766916i | \(0.721791\pi\) |
−0.802932 | + | 0.596070i | \(0.796728\pi\) | |||||||
\(192\) | 23.6734 | + | 3.94584i | 0.123299 | + | 0.0205512i | ||||
\(193\) | −11.8335 | + | 203.173i | −0.0613134 | + | 1.05271i | 0.817618 | + | 0.575762i | \(0.195294\pi\) |
−0.878931 | + | 0.476949i | \(0.841743\pi\) | |||||||
\(194\) | 121.926 | + | 52.5937i | 0.628484 | + | 0.271102i | ||||
\(195\) | −29.9398 | + | 41.0131i | −0.153537 | + | 0.210324i | ||||
\(196\) | −3.44601 | − | 59.1657i | −0.0175817 | − | 0.301866i | ||||
\(197\) | −33.5986 | + | 92.3115i | −0.170551 | + | 0.468586i | −0.995292 | − | 0.0969255i | \(-0.969099\pi\) |
0.824740 | + | 0.565512i | \(0.191321\pi\) | |||||||
\(198\) | −166.557 | + | 22.6401i | −0.841199 | + | 0.114344i | ||||
\(199\) | −356.022 | + | 129.582i | −1.78906 | + | 0.651164i | −0.789770 | + | 0.613403i | \(0.789800\pi\) |
−0.999287 | + | 0.0377611i | \(0.987977\pi\) | |||||||
\(200\) | 52.8292 | − | 22.7883i | 0.264146 | − | 0.113942i | ||||
\(201\) | 200.514 | + | 185.653i | 0.997580 | + | 0.923649i | ||||
\(202\) | −77.3481 | − | 18.3318i | −0.382911 | − | 0.0907516i | ||||
\(203\) | 10.7459 | − | 45.3404i | 0.0529353 | − | 0.223351i | ||||
\(204\) | 57.6999 | + | 186.356i | 0.282843 | + | 0.913508i | ||||
\(205\) | 12.4500 | + | 28.8623i | 0.0607316 | + | 0.140792i | ||||
\(206\) | 39.2470 | + | 107.830i | 0.190520 | + | 0.523448i | ||||
\(207\) | 25.4847 | − | 40.3764i | 0.123114 | − | 0.195055i | ||||
\(208\) | −29.4771 | − | 10.7288i | −0.141717 | − | 0.0515807i | ||||
\(209\) | −337.517 | + | 19.6581i | −1.61491 | + | 0.0940579i | ||||
\(210\) | 4.30299 | − | 40.0680i | 0.0204904 | − | 0.190800i | ||||
\(211\) | 104.003 | − | 241.107i | 0.492907 | − | 1.14269i | −0.472357 | − | 0.881408i | \(-0.656597\pi\) |
0.965263 | − | 0.261279i | \(-0.0841442\pi\) | |||||||
\(212\) | 67.3682 | + | 3.92375i | 0.317775 | + | 0.0185083i | ||||
\(213\) | −75.9145 | − | 62.4967i | −0.356406 | − | 0.293412i | ||||
\(214\) | 151.062 | + | 160.117i | 0.705898 | + | 0.748208i | ||||
\(215\) | 27.4712 | + | 15.8605i | 0.127773 | + | 0.0737699i | ||||
\(216\) | 57.0976 | − | 50.7135i | 0.264341 | − | 0.234785i | ||||
\(217\) | 47.8793 | + | 82.9294i | 0.220642 | + | 0.382163i | ||||
\(218\) | 84.9499 | + | 25.4323i | 0.389678 | + | 0.116662i | ||||
\(219\) | 100.802 | + | 117.869i | 0.460281 | + | 0.538215i | ||||
\(220\) | 47.6291 | + | 31.3261i | 0.216496 | + | 0.142391i | ||||
\(221\) | −29.6016 | − | 253.258i | −0.133944 | − | 1.14596i | ||||
\(222\) | −163.172 | + | 109.525i | −0.735010 | + | 0.493355i | ||||
\(223\) | −252.349 | − | 126.735i | −1.13161 | − | 0.568317i | −0.218423 | − | 0.975854i | \(-0.570091\pi\) |
−0.913189 | + | 0.407537i | \(0.866388\pi\) | |||||||
\(224\) | 24.5165 | − | 4.32291i | 0.109449 | − | 0.0192987i | ||||
\(225\) | 49.2094 | − | 176.336i | 0.218708 | − | 0.783718i | ||||
\(226\) | 19.2304 | − | 109.061i | 0.0850901 | − | 0.482570i | ||||
\(227\) | −19.3048 | − | 14.3719i | −0.0850432 | − | 0.0633124i | 0.553797 | − | 0.832652i | \(-0.313178\pi\) |
−0.638841 | + | 0.769339i | \(0.720586\pi\) | |||||||
\(228\) | 122.343 | − | 92.8762i | 0.536594 | − | 0.407352i | ||||
\(229\) | −248.633 | + | 263.536i | −1.08573 | + | 1.15081i | −0.0979162 | + | 0.995195i | \(0.531218\pi\) |
−0.987818 | + | 0.155616i | \(0.950264\pi\) | |||||||
\(230\) | −15.5129 | + | 4.64427i | −0.0674476 | + | 0.0201925i | ||||
\(231\) | −155.069 | + | 79.7074i | −0.671295 | + | 0.345054i | ||||
\(232\) | −29.7453 | − | 3.47673i | −0.128213 | − | 0.0149859i | ||||
\(233\) | −130.776 | + | 155.852i | −0.561269 | + | 0.668895i | −0.969815 | − | 0.243843i | \(-0.921592\pi\) |
0.408545 | + | 0.912738i | \(0.366036\pi\) | |||||||
\(234\) | −85.4918 | + | 51.5192i | −0.365349 | + | 0.220168i | ||||
\(235\) | 152.113 | − | 127.638i | 0.647289 | − | 0.543140i | ||||
\(236\) | −37.6968 | − | 57.3152i | −0.159732 | − | 0.242861i | ||||
\(237\) | −86.8768 | − | 351.833i | −0.366569 | − | 1.48453i | ||||
\(238\) | 120.839 | + | 162.315i | 0.507726 | + | 0.681994i | ||||
\(239\) | −49.7415 | − | 99.0435i | −0.208123 | − | 0.414408i | 0.765217 | − | 0.643772i | \(-0.222632\pi\) |
−0.973341 | + | 0.229364i | \(0.926335\pi\) | |||||||
\(240\) | −25.8990 | + | 0.242764i | −0.107912 | + | 0.00101152i | ||||
\(241\) | 332.145 | − | 78.7198i | 1.37820 | − | 0.326638i | 0.526277 | − | 0.850313i | \(-0.323588\pi\) |
0.851918 | + | 0.523675i | \(0.175439\pi\) | |||||||
\(242\) | − | 75.5288i | − | 0.312102i | ||||||
\(243\) | −11.3843 | − | 242.733i | −0.0468490 | − | 0.998902i | ||||
\(244\) | 56.2802 | 0.230657 | ||||||||
\(245\) | 14.7497 | + | 62.2341i | 0.0602030 | + | 0.254017i | ||||
\(246\) | 0.579142 | + | 61.7850i | 0.00235424 | + | 0.251159i | ||||
\(247\) | −179.410 | + | 90.1031i | −0.726357 | + | 0.364790i | ||||
\(248\) | 49.3665 | − | 36.7520i | 0.199058 | − | 0.148194i | ||||
\(249\) | 30.1843 | − | 7.45330i | 0.121222 | − | 0.0299329i | ||||
\(250\) | −115.630 | + | 76.0513i | −0.462521 | + | 0.304205i | ||||
\(251\) | 112.734 | + | 134.351i | 0.449138 | + | 0.535262i | 0.942342 | − | 0.334652i | \(-0.108619\pi\) |
−0.493204 | + | 0.869914i | \(0.664174\pi\) | |||||||
\(252\) | 38.3143 | − | 69.3321i | 0.152041 | − | 0.275127i | ||||
\(253\) | 53.6703 | + | 45.0347i | 0.212136 | + | 0.178003i | ||||
\(254\) | 14.3946 | − | 123.153i | 0.0566715 | − | 0.484856i | ||||
\(255\) | −96.2444 | − | 187.241i | −0.377429 | − | 0.734280i | ||||
\(256\) | −4.58885 | − | 15.3278i | −0.0179252 | − | 0.0598743i | ||||
\(257\) | −211.946 | − | 199.960i | −0.824691 | − | 0.778056i | 0.152973 | − | 0.988230i | \(-0.451115\pi\) |
−0.977664 | + | 0.210174i | \(0.932597\pi\) | |||||||
\(258\) | 37.7024 | + | 49.6643i | 0.146133 | + | 0.192497i | ||||
\(259\) | −121.729 | + | 163.511i | −0.469998 | + | 0.631317i | ||||
\(260\) | 33.3381 | + | 5.87840i | 0.128223 | + | 0.0226092i | ||||
\(261\) | −68.0759 | + | 66.6822i | −0.260827 | + | 0.255487i | ||||
\(262\) | 7.24656 | + | 41.0973i | 0.0276586 | + | 0.156860i | ||||
\(263\) | 201.909 | − | 402.033i | 0.767714 | − | 1.52864i | −0.0791674 | − | 0.996861i | \(-0.525226\pi\) |
0.846881 | − | 0.531782i | \(-0.178478\pi\) | |||||||
\(264\) | 62.4525 | + | 93.0429i | 0.236562 | + | 0.352435i | ||||
\(265\) | −72.3326 | + | 8.45447i | −0.272953 | + | 0.0319037i | ||||
\(266\) | 87.5528 | − | 133.118i | 0.329146 | − | 0.500442i | ||||
\(267\) | 304.195 | − | 260.148i | 1.13931 | − | 0.974336i | ||||
\(268\) | 52.2486 | − | 174.522i | 0.194957 | − | 0.651203i | ||||
\(269\) | −23.2637 | + | 13.4313i | −0.0864821 | + | 0.0499304i | −0.542617 | − | 0.839980i | \(-0.682567\pi\) |
0.456135 | + | 0.889910i | \(0.349233\pi\) | |||||||
\(270\) | −51.1785 | + | 64.5969i | −0.189550 | + | 0.239248i | ||||
\(271\) | −50.6698 | + | 87.7627i | −0.186974 | + | 0.323848i | −0.944240 | − | 0.329259i | \(-0.893201\pi\) |
0.757266 | + | 0.653106i | \(0.226535\pi\) | |||||||
\(272\) | 94.5992 | − | 89.2498i | 0.347791 | − | 0.328124i | ||||
\(273\) | −65.8054 | + | 79.9336i | −0.241045 | + | 0.292797i | ||||
\(274\) | −0.487738 | + | 8.37413i | −0.00178006 | + | 0.0305625i | ||||
\(275\) | 246.667 | + | 106.402i | 0.896971 | + | 0.386916i | ||||
\(276\) | −31.6490 | − | 3.39885i | −0.114670 | − | 0.0123147i | ||||
\(277\) | 6.72033 | + | 115.384i | 0.0242611 | + | 0.416547i | 0.988471 | + | 0.151408i | \(0.0483808\pi\) |
−0.964210 | + | 0.265139i | \(0.914582\pi\) | |||||||
\(278\) | 83.0196 | − | 228.095i | 0.298632 | − | 0.820484i | ||||
\(279\) | 7.71998 | − | 195.682i | 0.0276702 | − | 0.701369i | ||||
\(280\) | −25.2454 | + | 9.18858i | −0.0901622 | + | 0.0328163i | ||||
\(281\) | −35.9607 | + | 15.5119i | −0.127974 | + | 0.0552026i | −0.459104 | − | 0.888383i | \(-0.651829\pi\) |
0.331130 | + | 0.943585i | \(0.392570\pi\) | |||||||
\(282\) | 372.863 | − | 115.447i | 1.32221 | − | 0.409386i | ||||
\(283\) | −230.497 | − | 54.6288i | −0.814477 | − | 0.193035i | −0.197792 | − | 0.980244i | \(-0.563377\pi\) |
−0.616686 | + | 0.787209i | \(0.711525\pi\) | |||||||
\(284\) | −15.1177 | + | 63.7865i | −0.0532313 | + | 0.224600i | ||||
\(285\) | −112.619 | + | 121.633i | −0.395154 | + | 0.426783i | ||||
\(286\) | −58.0121 | − | 134.487i | −0.202840 | − | 0.470235i | ||||
\(287\) | 21.9204 | + | 60.2259i | 0.0763778 | + | 0.209846i | ||||
\(288\) | −47.1177 | − | 19.2852i | −0.163603 | − | 0.0669626i | ||||
\(289\) | 721.833 | + | 262.726i | 2.49769 | + | 0.909085i | ||||
\(290\) | 32.2642 | − | 1.87917i | 0.111256 | − | 0.00647991i | ||||
\(291\) | −227.510 | − | 166.083i | −0.781820 | − | 0.570732i | ||||
\(292\) | 40.9530 | − | 94.9397i | 0.140250 | − | 0.325136i | ||||
\(293\) | 227.966 | + | 13.2775i | 0.778042 | + | 0.0453158i | 0.442569 | − | 0.896734i | \(-0.354067\pi\) |
0.335472 | + | 0.942050i | \(0.391104\pi\) | |||||||
\(294\) | −20.6699 | + | 124.011i | −0.0703059 | + | 0.421807i | ||||
\(295\) | 50.8039 | + | 53.8490i | 0.172217 | + | 0.182539i | ||||
\(296\) | 113.462 | + | 65.5073i | 0.383317 | + | 0.221308i | ||||
\(297\) | 355.184 | + | 31.4214i | 1.19590 | + | 0.105796i | ||||
\(298\) | −200.298 | − | 346.926i | −0.672140 | − | 1.16418i | ||||
\(299\) | 39.8564 | + | 11.9322i | 0.133299 | + | 0.0399071i | ||||
\(300\) | −119.991 | + | 22.3193i | −0.399971 | + | 0.0743977i | ||||
\(301\) | 54.0380 | + | 35.5413i | 0.179528 | + | 0.118078i | ||||
\(302\) | 24.2049 | + | 207.086i | 0.0801485 | + | 0.685715i | ||||
\(303\) | 151.392 | + | 74.2632i | 0.499643 | + | 0.245093i | ||||
\(304\) | −91.5098 | − | 45.9580i | −0.301019 | − | 0.151178i | ||||
\(305\) | −59.8132 | + | 10.5467i | −0.196109 | + | 0.0345793i | ||||
\(306\) | −31.8025 | − | 412.612i | −0.103930 | − | 1.34840i | ||||
\(307\) | −73.5716 | + | 417.245i | −0.239647 | + | 1.35910i | 0.592956 | + | 0.805235i | \(0.297961\pi\) |
−0.832603 | + | 0.553870i | \(0.813150\pi\) | |||||||
\(308\) | 93.2362 | + | 69.4118i | 0.302715 | + | 0.225363i | ||||
\(309\) | −30.5246 | − | 241.501i | −0.0987852 | − | 0.781558i | ||||
\(310\) | −45.5783 | + | 48.3102i | −0.147027 | + | 0.155839i | ||||
\(311\) | −312.086 | + | 93.4323i | −1.00349 | + | 0.300425i | −0.746065 | − | 0.665873i | \(-0.768059\pi\) |
−0.257426 | + | 0.966298i | \(0.582874\pi\) | |||||||
\(312\) | 55.9365 | + | 36.0435i | 0.179284 | + | 0.115524i | ||||
\(313\) | 296.125 | + | 34.6120i | 0.946086 | + | 0.110582i | 0.575124 | − | 0.818066i | \(-0.304954\pi\) |
0.370962 | + | 0.928648i | \(0.379028\pi\) | |||||||
\(314\) | 2.45687 | − | 2.92798i | 0.00782443 | − | 0.00932479i | ||||
\(315\) | −27.7269 | + | 80.8643i | −0.0880219 | + | 0.256712i | ||||
\(316\) | −185.076 | + | 155.298i | −0.585685 | + | 0.491448i | ||||
\(317\) | 31.0563 | + | 47.2188i | 0.0979694 | + | 0.148955i | 0.881146 | − | 0.472844i | \(-0.156772\pi\) |
−0.783177 | + | 0.621799i | \(0.786402\pi\) | |||||||
\(318\) | −137.517 | − | 39.7692i | −0.432442 | − | 0.125060i | ||||
\(319\) | −83.5011 | − | 112.161i | −0.261759 | − | 0.351603i | ||||
\(320\) | 7.74929 | + | 15.4301i | 0.0242165 | + | 0.0482191i | ||||
\(321\) | −237.263 | − | 402.198i | −0.739137 | − | 1.25295i | ||||
\(322\) | −32.1276 | + | 7.61437i | −0.0997750 | + | 0.0236471i | ||||
\(323\) | − | 832.375i | − | 2.57701i | ||||||
\(324\) | −141.941 | + | 78.0809i | −0.438091 | + | 0.240990i | ||||
\(325\) | 159.523 | 0.490840 | ||||||||
\(326\) | 30.4175 | + | 128.341i | 0.0933051 | + | 0.393685i | ||||
\(327\) | −163.781 | − | 92.5231i | −0.500860 | − | 0.282945i | ||||
\(328\) | 36.8104 | − | 18.4869i | 0.112227 | − | 0.0563624i | ||||
\(329\) | 324.762 | − | 241.776i | 0.987117 | − | 0.734881i | ||||
\(330\) | −83.8088 | − | 87.1804i | −0.253966 | − | 0.264183i | ||||
\(331\) | −167.488 | + | 110.159i | −0.506007 | + | 0.332806i | −0.776712 | − | 0.629856i | \(-0.783114\pi\) |
0.270705 | + | 0.962662i | \(0.412743\pi\) | |||||||
\(332\) | −13.3232 | − | 15.8780i | −0.0401302 | − | 0.0478253i | ||||
\(333\) | 389.003 | − | 149.902i | 1.16818 | − | 0.450155i | ||||
\(334\) | −41.4781 | − | 34.8043i | −0.124186 | − | 0.104204i | ||||
\(335\) | −22.8237 | + | 195.269i | −0.0681305 | + | 0.582893i | ||||
\(336\) | −52.7467 | − | 2.57632i | −0.156984 | − | 0.00766761i | ||||
\(337\) | 97.9025 | + | 327.017i | 0.290512 | + | 0.970377i | 0.971292 | + | 0.237889i | \(0.0764556\pi\) |
−0.680780 | + | 0.732488i | \(0.738359\pi\) | |||||||
\(338\) | 110.581 | + | 104.327i | 0.327162 | + | 0.308661i | ||||
\(339\) | −91.0219 | + | 216.572i | −0.268501 | + | 0.638855i | ||||
\(340\) | −83.8127 | + | 112.580i | −0.246508 | + | 0.331118i | ||||
\(341\) | 282.996 | + | 49.8997i | 0.829899 | + | 0.146334i | ||||
\(342\) | −296.721 | + | 134.645i | −0.867605 | + | 0.393699i | ||||
\(343\) | 60.0906 | + | 340.791i | 0.175191 | + | 0.993559i | ||||
\(344\) | 18.6563 | − | 37.1477i | 0.0542333 | − | 0.107987i | ||||
\(345\) | 34.2727 | − | 2.31868i | 0.0993411 | − | 0.00672080i | ||||
\(346\) | 375.559 | − | 43.8965i | 1.08543 | − | 0.126869i | ||||
\(347\) | 7.64878 | − | 11.6294i | 0.0220426 | − | 0.0335141i | −0.824298 | − | 0.566156i | \(-0.808430\pi\) |
0.846341 | + | 0.532641i | \(0.178801\pi\) | |||||||
\(348\) | 59.8987 | + | 21.1677i | 0.172123 | + | 0.0608267i | ||||
\(349\) | −167.484 | + | 559.435i | −0.479896 | + | 1.60296i | 0.284809 | + | 0.958584i | \(0.408070\pi\) |
−0.764705 | + | 0.644381i | \(0.777115\pi\) | |||||||
\(350\) | −109.638 | + | 63.2996i | −0.313252 | + | 0.180856i | ||||
\(351\) | 201.057 | − | 66.4069i | 0.572812 | − | 0.189193i | ||||
\(352\) | 37.3531 | − | 64.6975i | 0.106117 | − | 0.183800i | ||||
\(353\) | −369.498 | + | 348.604i | −1.04674 | + | 0.987545i | −0.999935 | − | 0.0113588i | \(-0.996384\pi\) |
−0.0468015 | + | 0.998904i | \(0.514903\pi\) | |||||||
\(354\) | 51.0519 | + | 136.276i | 0.144214 | + | 0.384960i | ||||
\(355\) | 4.11336 | − | 70.6237i | 0.0115869 | − | 0.198940i | ||||
\(356\) | −245.020 | − | 105.691i | −0.688257 | − | 0.296885i | ||||
\(357\) | −173.709 | − | 392.545i | −0.486580 | − | 1.09956i | ||||
\(358\) | 21.4987 | + | 369.118i | 0.0600521 | + | 1.03105i | ||||
\(359\) | 21.1885 | − | 58.2148i | 0.0590208 | − | 0.162158i | −0.906678 | − | 0.421824i | \(-0.861390\pi\) |
0.965699 | + | 0.259665i | \(0.0836123\pi\) | |||||||
\(360\) | 53.6895 | + | 11.6662i | 0.149138 | + | 0.0324061i | ||||
\(361\) | −276.633 | + | 100.686i | −0.766296 | + | 0.278909i | ||||
\(362\) | 76.7154 | − | 33.0918i | 0.211921 | − | 0.0914138i | ||||
\(363\) | −35.4865 | + | 156.241i | −0.0977591 | + | 0.430417i | ||||
\(364\) | 67.1635 | + | 15.9180i | 0.184515 | + | 0.0437309i | ||||
\(365\) | −25.7325 | + | 108.574i | −0.0705001 | + | 0.297463i | ||||
\(366\) | −116.423 | − | 26.4428i | −0.318096 | − | 0.0722480i | ||||
\(367\) | −34.0832 | − | 79.0138i | −0.0928699 | − | 0.215297i | 0.865449 | − | 0.500997i | \(-0.167033\pi\) |
−0.958319 | + | 0.285700i | \(0.907774\pi\) | |||||||
\(368\) | 7.25788 | + | 19.9409i | 0.0197225 | + | 0.0541872i | ||||
\(369\) | 27.8311 | − | 128.083i | 0.0754231 | − | 0.347108i | ||||
\(370\) | −132.860 | − | 48.3572i | −0.359082 | − | 0.130695i | ||||
\(371\) | −148.237 | + | 8.63382i | −0.399561 | + | 0.0232718i | ||||
\(372\) | −119.389 | + | 52.8320i | −0.320938 | + | 0.142022i | ||||
\(373\) | 138.833 | − | 321.850i | 0.372205 | − | 0.862869i | −0.624444 | − | 0.781070i | \(-0.714674\pi\) |
0.996649 | − | 0.0817989i | \(-0.0260665\pi\) | |||||||
\(374\) | 606.222 | + | 35.3084i | 1.62091 | + | 0.0944075i | ||||
\(375\) | 274.929 | − | 102.994i | 0.733144 | − | 0.274652i | ||||
\(376\) | −178.572 | − | 189.276i | −0.474926 | − | 0.503392i | ||||
\(377\) | −71.9102 | − | 41.5174i | −0.190743 | − | 0.110126i | ||||
\(378\) | −111.833 | + | 125.421i | −0.295855 | + | 0.331802i | ||||
\(379\) | 61.1837 | + | 105.973i | 0.161435 | + | 0.279613i | 0.935383 | − | 0.353635i | \(-0.115055\pi\) |
−0.773949 | + | 0.633248i | \(0.781721\pi\) | |||||||
\(380\) | 105.867 | + | 31.6944i | 0.278597 | + | 0.0834064i | ||||
\(381\) | −87.6397 | + | 247.996i | −0.230025 | + | 0.650909i | ||||
\(382\) | −448.232 | − | 294.807i | −1.17338 | − | 0.771745i | ||||
\(383\) | −81.3808 | − | 696.257i | −0.212482 | − | 1.81790i | −0.506652 | − | 0.862151i | \(-0.669117\pi\) |
0.294170 | − | 0.955753i | \(-0.404957\pi\) | |||||||
\(384\) | 2.29101 | + | 33.8637i | 0.00596617 | + | 0.0881868i | ||||
\(385\) | −112.097 | − | 56.2970i | −0.291160 | − | 0.146226i | ||||
\(386\) | −283.445 | + | 49.9789i | −0.734313 | + | 0.129479i | ||||
\(387\) | −54.6580 | − | 120.451i | −0.141235 | − | 0.311244i | ||||
\(388\) | −32.6089 | + | 184.934i | −0.0840436 | + | 0.476635i | ||||
\(389\) | 409.214 | + | 304.649i | 1.05197 | + | 0.783159i | 0.976831 | − | 0.214014i | \(-0.0686539\pi\) |
0.0751347 | + | 0.997173i | \(0.476061\pi\) | |||||||
\(390\) | −66.2024 | − | 27.8239i | −0.169750 | − | 0.0713433i | ||||
\(391\) | −118.371 | + | 125.466i | −0.302739 | + | 0.320885i | ||||
\(392\) | 80.2936 | − | 24.0383i | 0.204831 | − | 0.0613223i | ||||
\(393\) | 4.31871 | − | 88.4200i | 0.0109891 | − | 0.224987i | ||||
\(394\) | −137.987 | − | 16.1284i | −0.350221 | − | 0.0409350i | ||||
\(395\) | 167.593 | − | 199.729i | 0.424285 | − | 0.505643i | ||||
\(396\) | −85.4759 | − | 221.815i | −0.215848 | − | 0.560138i | ||||
\(397\) | 184.904 | − | 155.153i | 0.465752 | − | 0.390812i | −0.379490 | − | 0.925196i | \(-0.623901\pi\) |
0.845242 | + | 0.534383i | \(0.179456\pi\) | |||||||
\(398\) | −294.429 | − | 447.658i | −0.739773 | − | 1.12477i | ||||
\(399\) | −243.659 | + | 234.236i | −0.610674 | + | 0.587057i | ||||
\(400\) | 48.5886 | + | 65.2658i | 0.121471 | + | 0.163164i | ||||
\(401\) | 260.353 | + | 518.405i | 0.649259 | + | 1.29278i | 0.941686 | + | 0.336492i | \(0.109241\pi\) |
−0.292428 | + | 0.956288i | \(0.594463\pi\) | |||||||
\(402\) | −190.081 | + | 336.474i | −0.472838 | + | 0.837001i | ||||
\(403\) | 166.042 | − | 39.3527i | 0.412015 | − | 0.0976494i | ||||
\(404\) | − | 112.417i | − | 0.278260i | ||||||
\(405\) | 136.220 | − | 109.582i | 0.336345 | − | 0.270572i | ||||
\(406\) | 65.8972 | 0.162308 | ||||||||
\(407\) | 141.074 | + | 595.236i | 0.346618 | + | 1.46250i | ||||
\(408\) | −237.624 | + | 140.179i | −0.582413 | + | 0.343575i | ||||
\(409\) | 360.845 | − | 181.223i | 0.882262 | − | 0.443089i | 0.0508251 | − | 0.998708i | \(-0.483815\pi\) |
0.831437 | + | 0.555619i | \(0.187519\pi\) | |||||||
\(410\) | −35.6568 | + | 26.5455i | −0.0869678 | + | 0.0647451i | ||||
\(411\) | 4.94346 | − | 17.0939i | 0.0120279 | − | 0.0415909i | ||||
\(412\) | −135.585 | + | 89.1754i | −0.329089 | + | 0.216445i | ||||
\(413\) | 97.0284 | + | 115.634i | 0.234936 | + | 0.279985i | ||||
\(414\) | 63.8732 | + | 21.9010i | 0.154283 | + | 0.0529009i | ||||
\(415\) | 17.1351 | + | 14.3780i | 0.0412893 | + | 0.0346459i | ||||
\(416\) | 5.15015 | − | 44.0623i | 0.0123802 | − | 0.105919i | ||||
\(417\) | −278.905 | + | 432.838i | −0.668838 | + | 1.03798i | ||||
\(418\) | −137.129 | − | 458.043i | −0.328060 | − | 1.09580i | ||||
\(419\) | 191.423 | + | 180.598i | 0.456857 | + | 0.431023i | 0.879952 | − | 0.475063i | \(-0.157575\pi\) |
−0.423095 | + | 0.906086i | \(0.639056\pi\) | |||||||
\(420\) | 56.5407 | − | 7.14647i | 0.134621 | − | 0.0170154i | ||||
\(421\) | −451.125 | + | 605.966i | −1.07156 | + | 1.43935i | −0.181562 | + | 0.983380i | \(0.558115\pi\) |
−0.889995 | + | 0.455971i | \(0.849292\pi\) | |||||||
\(422\) | 365.705 | + | 64.4837i | 0.866600 | + | 0.152805i | ||||
\(423\) | −825.559 | + | 63.6310i | −1.95168 | + | 0.150428i | ||||
\(424\) | 16.5720 | + | 93.9847i | 0.0390850 | + | 0.221662i | ||||
\(425\) | −296.829 | + | 591.035i | −0.698421 | + | 1.39067i | ||||
\(426\) | 61.2425 | − | 124.848i | 0.143762 | − | 0.293071i | ||||
\(427\) | −123.002 | + | 14.3768i | −0.288060 | + | 0.0336694i | ||||
\(428\) | −171.068 | + | 260.096i | −0.399691 | + | 0.607701i | ||||
\(429\) | 56.8182 | + | 305.461i | 0.132443 | + | 0.712031i | ||||
\(430\) | −12.8661 | + | 42.9758i | −0.0299212 | + | 0.0999436i | ||||
\(431\) | −247.815 | + | 143.076i | −0.574977 | + | 0.331963i | −0.759135 | − | 0.650933i | \(-0.774378\pi\) |
0.184157 | + | 0.982897i | \(0.441044\pi\) | |||||||
\(432\) | 88.4083 | + | 62.0320i | 0.204649 | + | 0.143593i | ||||
\(433\) | 231.637 | − | 401.208i | 0.534959 | − | 0.926576i | −0.464206 | − | 0.885727i | \(-0.653660\pi\) |
0.999165 | − | 0.0408491i | \(-0.0130063\pi\) | |||||||
\(434\) | −98.5032 | + | 92.9330i | −0.226966 | + | 0.214131i | ||||
\(435\) | −67.6257 | − | 11.2717i | −0.155461 | − | 0.0259120i | ||||
\(436\) | −7.29169 | + | 125.193i | −0.0167241 | + | 0.287141i | ||||
\(437\) | 124.707 | + | 53.7935i | 0.285371 | + | 0.123097i | ||||
\(438\) | −129.323 | + | 177.154i | −0.295259 | + | 0.404462i | ||||
\(439\) | −27.8689 | − | 478.490i | −0.0634826 | − | 1.08995i | −0.868174 | − | 0.496261i | \(-0.834706\pi\) |
0.804691 | − | 0.593694i | \(-0.202331\pi\) | |||||||
\(440\) | −27.5739 | + | 75.7587i | −0.0626680 | + | 0.172179i | ||||
\(441\) | 101.024 | − | 246.822i | 0.229080 | − | 0.559688i | ||||
\(442\) | 338.852 | − | 123.332i | 0.766633 | − | 0.279032i | ||||
\(443\) | 527.535 | − | 227.556i | 1.19082 | − | 0.513671i | 0.293892 | − | 0.955839i | \(-0.405050\pi\) |
0.896933 | + | 0.442167i | \(0.145790\pi\) | |||||||
\(444\) | −203.933 | − | 188.820i | −0.459309 | − | 0.425270i | ||||
\(445\) | 280.207 | + | 66.4103i | 0.629678 | + | 0.149237i | ||||
\(446\) | 92.0974 | − | 388.590i | 0.206497 | − | 0.871277i | ||||
\(447\) | 251.343 | + | 811.771i | 0.562288 | + | 1.81604i | ||||
\(448\) | 13.9445 | + | 32.3271i | 0.0311262 | + | 0.0721586i | ||||
\(449\) | −267.102 | − | 733.857i | −0.594882 | − | 1.63442i | −0.761323 | − | 0.648373i | \(-0.775450\pi\) |
0.166441 | − | 0.986051i | \(-0.446773\pi\) | |||||||
\(450\) | 258.705 | + | 10.2063i | 0.574899 | + | 0.0226807i | ||||
\(451\) | 180.731 | + | 65.7809i | 0.400735 | + | 0.145856i | ||||
\(452\) | 156.350 | − | 9.10633i | 0.345906 | − | 0.0201468i | ||||
\(453\) | 47.2265 | − | 439.757i | 0.104253 | − | 0.970767i | ||||
\(454\) | 13.4810 | − | 31.2525i | 0.0296938 | − | 0.0688381i | ||||
\(455\) | −74.3627 | − | 4.33114i | −0.163435 | − | 0.00951898i | ||||
\(456\) | 167.707 | + | 138.065i | 0.367780 | + | 0.302775i | ||||
\(457\) | −591.006 | − | 626.430i | −1.29323 | − | 1.37074i | −0.890209 | − | 0.455552i | \(-0.849442\pi\) |
−0.403020 | − | 0.915191i | \(-0.632040\pi\) | |||||||
\(458\) | −443.739 | − | 256.193i | −0.968862 | − | 0.559373i | ||||
\(459\) | −128.074 | + | 868.485i | −0.279029 | + | 1.89212i | ||||
\(460\) | −11.4503 | − | 19.8326i | −0.0248920 | − | 0.0431143i | ||||
\(461\) | −581.343 | − | 174.043i | −1.26105 | − | 0.377533i | −0.414600 | − | 0.910004i | \(-0.636078\pi\) |
−0.846448 | + | 0.532471i | \(0.821264\pi\) | |||||||
\(462\) | −160.259 | − | 187.394i | −0.346881 | − | 0.405614i | ||||
\(463\) | −545.233 | − | 358.605i | −1.17761 | − | 0.774525i | −0.198948 | − | 0.980010i | \(-0.563753\pi\) |
−0.978660 | + | 0.205485i | \(0.934123\pi\) | |||||||
\(464\) | −4.91684 | − | 42.0663i | −0.0105966 | − | 0.0906601i | ||||
\(465\) | 116.983 | − | 78.5216i | 0.251576 | − | 0.168864i | ||||
\(466\) | −257.119 | − | 129.130i | −0.551757 | − | 0.277103i | ||||
\(467\) | −634.988 | + | 111.966i | −1.35972 | + | 0.239755i | −0.805490 | − | 0.592610i | \(-0.798098\pi\) |
−0.554228 | + | 0.832365i | \(0.686987\pi\) | |||||||
\(468\) | −98.7775 | − | 100.842i | −0.211063 | − | 0.215475i | ||||
\(469\) | −69.6085 | + | 394.769i | −0.148419 | + | 0.841725i | ||||
\(470\) | 225.252 | + | 167.694i | 0.479259 | + | 0.356795i | ||||
\(471\) | −6.45805 | + | 4.90259i | −0.0137114 | + | 0.0104089i | ||||
\(472\) | 66.5767 | − | 70.5671i | 0.141052 | − | 0.149507i | ||||
\(473\) | 185.939 | − | 55.6665i | 0.393105 | − | 0.117688i | ||||
\(474\) | 455.821 | − | 234.297i | 0.961647 | − | 0.494298i | ||||
\(475\) | 517.233 | + | 60.4559i | 1.08891 | + | 0.127276i | ||||
\(476\) | −183.950 | + | 219.223i | −0.386449 | + | 0.460552i | ||||
\(477\) | 265.787 | + | 146.879i | 0.557205 | + | 0.307922i | ||||
\(478\) | 120.070 | − | 100.751i | 0.251193 | − | 0.210776i | ||||
\(479\) | 91.9986 | + | 139.877i | 0.192064 | + | 0.292019i | 0.918663 | − | 0.395043i | \(-0.129270\pi\) |
−0.726599 | + | 0.687062i | \(0.758900\pi\) | |||||||
\(480\) | −8.78075 | − | 35.5602i | −0.0182932 | − | 0.0740838i | ||||
\(481\) | 216.922 | + | 291.377i | 0.450981 | + | 0.605773i | ||||
\(482\) | 216.652 | + | 431.389i | 0.449485 | + | 0.894998i | ||||
\(483\) | 70.0377 | − | 0.656499i | 0.145006 | − | 0.00135921i | ||||
\(484\) | 103.935 | − | 24.6330i | 0.214741 | − | 0.0508946i | ||||
\(485\) | − | 202.655i | − | 0.417844i | ||||||
\(486\) | 330.311 | − | 94.8309i | 0.679651 | − | 0.195125i | ||||
\(487\) | −633.629 | −1.30109 | −0.650543 | − | 0.759470i | \(-0.725458\pi\) | ||||
−0.650543 | + | 0.759470i | \(0.725458\pi\) | |||||||
\(488\) | 18.3552 | + | 77.4468i | 0.0376132 | + | 0.158702i | ||||
\(489\) | −2.62254 | − | 279.783i | −0.00536307 | − | 0.572153i | ||||
\(490\) | −80.8294 | + | 40.5940i | −0.164958 | + | 0.0828450i | ||||
\(491\) | 62.7659 | − | 46.7275i | 0.127833 | − | 0.0951680i | −0.531343 | − | 0.847157i | \(-0.678313\pi\) |
0.659176 | + | 0.751989i | \(0.270905\pi\) | |||||||
\(492\) | −84.8331 | + | 20.9475i | −0.172425 | + | 0.0425763i | ||||
\(493\) | 287.628 | − | 189.176i | 0.583423 | − | 0.383724i | ||||
\(494\) | −182.503 | − | 217.499i | −0.369440 | − | 0.440281i | ||||
\(495\) | 132.409 | + | 219.721i | 0.267493 | + | 0.443881i | ||||
\(496\) | 66.6746 | + | 55.9466i | 0.134425 | + | 0.112796i | ||||
\(497\) | 16.7457 | − | 143.269i | 0.0336935 | − | 0.288267i | ||||
\(498\) | 20.1008 | + | 39.1056i | 0.0403630 | + | 0.0785253i | ||||
\(499\) | 33.9526 | + | 113.409i | 0.0680412 | + | 0.227273i | 0.985246 | − | 0.171142i | \(-0.0547456\pi\) |
−0.917205 | + | 0.398415i | \(0.869560\pi\) | |||||||
\(500\) | −142.365 | − | 134.315i | −0.284731 | − | 0.268629i | ||||
\(501\) | 69.4506 | + | 91.4855i | 0.138624 | + | 0.182606i | ||||
\(502\) | −148.112 | + | 198.949i | −0.295044 | + | 0.396313i | ||||
\(503\) | −20.1434 | − | 3.55183i | −0.0400466 | − | 0.00706130i | 0.153589 | − | 0.988135i | \(-0.450917\pi\) |
−0.193636 | + | 0.981074i | \(0.562028\pi\) | |||||||
\(504\) | 107.903 | + | 30.1120i | 0.214094 | + | 0.0597461i | ||||
\(505\) | 21.0665 | + | 119.474i | 0.0417158 | + | 0.236582i | ||||
\(506\) | −44.4680 | + | 88.5430i | −0.0878814 | + | 0.174986i | ||||
\(507\) | −179.734 | − | 267.771i | −0.354504 | − | 0.528148i | ||||
\(508\) | 174.165 | − | 20.3570i | 0.342845 | − | 0.0400728i | ||||
\(509\) | 102.204 | − | 155.394i | 0.200794 | − | 0.305293i | −0.721028 | − | 0.692906i | \(-0.756330\pi\) |
0.921822 | + | 0.387613i | \(0.126700\pi\) | |||||||
\(510\) | 226.273 | − | 193.508i | 0.443672 | − | 0.379428i | ||||
\(511\) | −65.2512 | + | 217.954i | −0.127693 | + | 0.426525i | ||||
\(512\) | 19.5959 | − | 11.3137i | 0.0382733 | − | 0.0220971i | ||||
\(513\) | 677.069 | − | 139.120i | 1.31982 | − | 0.271188i | ||||
\(514\) | 206.040 | − | 356.872i | 0.400856 | − | 0.694304i | ||||
\(515\) | 127.385 | − | 120.181i | 0.247349 | − | 0.233362i | ||||
\(516\) | −56.0465 | + | 68.0795i | −0.108617 | + | 0.131937i | ||||
\(517\) | 70.6456 | − | 1212.94i | 0.136645 | − | 2.34611i | ||||
\(518\) | −264.707 | − | 114.184i | −0.511018 | − | 0.220432i | ||||
\(519\) | −797.518 | − | 85.6472i | −1.53664 | − | 0.165023i | ||||
\(520\) | 2.78365 | + | 47.7935i | 0.00535318 | + | 0.0919106i | ||||
\(521\) | −38.9405 | + | 106.988i | −0.0747418 | + | 0.205351i | −0.971437 | − | 0.237297i | \(-0.923739\pi\) |
0.896695 | + | 0.442648i | \(0.145961\pi\) | |||||||
\(522\) | −113.963 | − | 71.9311i | −0.218320 | − | 0.137799i | ||||
\(523\) | 141.887 | − | 51.6426i | 0.271294 | − | 0.0987431i | −0.202791 | − | 0.979222i | \(-0.565001\pi\) |
0.474085 | + | 0.880479i | \(0.342779\pi\) | |||||||
\(524\) | −54.1903 | + | 23.3754i | −0.103417 | + | 0.0446096i | ||||
\(525\) | 256.542 | − | 79.4312i | 0.488651 | − | 0.151298i | ||||
\(526\) | 619.086 | + | 146.726i | 1.17697 | + | 0.278947i | ||||
\(527\) | −163.157 | + | 688.413i | −0.309596 | + | 1.30629i | ||||
\(528\) | −107.668 | + | 116.285i | −0.203916 | + | 0.220238i | ||||
\(529\) | 198.379 | + | 459.893i | 0.375007 | + | 0.869364i | ||||
\(530\) | −35.2247 | − | 96.7791i | −0.0664617 | − | 0.182602i | ||||
\(531\) | −41.5797 | − | 305.891i | −0.0783045 | − | 0.576066i | ||||
\(532\) | 211.737 | + | 77.0658i | 0.398001 | + | 0.144861i | ||||
\(533\) | 114.017 | − | 6.64074i | 0.213916 | − | 0.0124592i | ||||
\(534\) | 457.198 | + | 333.757i | 0.856176 | + | 0.625012i | ||||
\(535\) | 133.066 | − | 308.481i | 0.248721 | − | 0.576600i | ||||
\(536\) | 257.199 | + | 14.9802i | 0.479850 | + | 0.0279481i | ||||
\(537\) | 128.954 | − | 773.671i | 0.240138 | − | 1.44073i | ||||
\(538\) | −26.0699 | − | 27.6325i | −0.0484571 | − | 0.0513615i | ||||
\(539\) | 338.913 | + | 195.671i | 0.628780 | + | 0.363026i | ||||
\(540\) | −105.583 | − | 49.3587i | −0.195524 | − | 0.0914050i | ||||
\(541\) | −169.549 | − | 293.668i | −0.313399 | − | 0.542823i | 0.665697 | − | 0.746222i | \(-0.268134\pi\) |
−0.979096 | + | 0.203399i | \(0.934801\pi\) | |||||||
\(542\) | −137.295 | − | 41.1035i | −0.253312 | − | 0.0758367i | ||||
\(543\) | −174.244 | + | 32.4108i | −0.320892 | + | 0.0596884i | ||||
\(544\) | 153.669 | + | 101.069i | 0.282479 | + | 0.185789i | ||||
\(545\) | −15.7113 | − | 134.419i | −0.0288281 | − | 0.246640i | ||||
\(546\) | −131.458 | − | 64.4848i | −0.240765 | − | 0.118104i | ||||
\(547\) | −655.167 | − | 329.037i | −1.19775 | − | 0.601531i | −0.265766 | − | 0.964038i | \(-0.585625\pi\) |
−0.931981 | + | 0.362507i | \(0.881921\pi\) | |||||||
\(548\) | −11.6827 | + | 2.05997i | −0.0213187 | + | 0.00375907i | ||||
\(549\) | 228.413 | + | 109.401i | 0.416053 | + | 0.199273i | ||||
\(550\) | −65.9707 | + | 374.139i | −0.119947 | + | 0.680252i | ||||
\(551\) | −217.425 | − | 161.867i | −0.394602 | − | 0.293770i | ||||
\(552\) | −5.64487 | − | 44.6604i | −0.0102262 | − | 0.0809066i | ||||
\(553\) | 364.818 | − | 386.684i | 0.659706 | − | 0.699248i | ||||
\(554\) | −156.587 | + | 46.8790i | −0.282648 | + | 0.0846192i | ||||
\(555\) | 252.119 | + | 162.457i | 0.454269 | + | 0.292715i | ||||
\(556\) | 340.955 | + | 39.8520i | 0.613229 | + | 0.0716762i | ||||
\(557\) | −59.1902 | + | 70.5401i | −0.106266 | + | 0.126643i | −0.816556 | − | 0.577266i | \(-0.804119\pi\) |
0.710290 | + | 0.703909i | \(0.248564\pi\) | |||||||
\(558\) | 271.795 | − | 53.1964i | 0.487087 | − | 0.0953340i | ||||
\(559\) | 88.2919 | − | 74.0857i | 0.157946 | − | 0.132533i | ||||
\(560\) | −20.8779 | − | 31.7433i | −0.0372819 | − | 0.0566844i | ||||
\(561\) | −1237.46 | − | 357.868i | −2.20581 | − | 0.637911i | ||||
\(562\) | −33.0741 | − | 44.4262i | −0.0588507 | − | 0.0790503i | ||||
\(563\) | −200.106 | − | 398.444i | −0.355429 | − | 0.707716i | 0.642873 | − | 0.765973i | \(-0.277742\pi\) |
−0.998302 | + | 0.0582563i | \(0.981446\pi\) | |||||||
\(564\) | 280.471 | + | 475.443i | 0.497290 | + | 0.842983i | ||||
\(565\) | −164.458 | + | 38.9773i | −0.291076 | + | 0.0689864i | ||||
\(566\) | − | 335.002i | − | 0.591876i | ||||||
\(567\) | 290.270 | − | 206.906i | 0.511940 | − | 0.364914i | ||||
\(568\) | −92.7067 | −0.163216 | ||||||||
\(569\) | 54.3957 | + | 229.514i | 0.0955988 | + | 0.403363i | 0.999714 | − | 0.0239263i | \(-0.00761670\pi\) |
−0.904115 | + | 0.427289i | \(0.859469\pi\) | |||||||
\(570\) | −204.108 | − | 115.305i | −0.358085 | − | 0.202289i | ||||
\(571\) | 624.870 | − | 313.822i | 1.09434 | − | 0.549600i | 0.192340 | − | 0.981328i | \(-0.438392\pi\) |
0.902004 | + | 0.431729i | \(0.142096\pi\) | |||||||
\(572\) | 166.147 | − | 123.692i | 0.290466 | − | 0.216244i | ||||
\(573\) | 788.716 | + | 820.445i | 1.37647 | + | 1.43184i | ||||
\(574\) | −75.7273 | + | 49.8066i | −0.131929 | + | 0.0867712i | ||||
\(575\) | −69.3666 | − | 82.6679i | −0.120638 | − | 0.143770i | ||||
\(576\) | 11.1713 | − | 71.1281i | 0.0193946 | − | 0.123486i | ||||
\(577\) | −638.414 | − | 535.693i | −1.10644 | − | 0.928410i | −0.108595 | − | 0.994086i | \(-0.534635\pi\) |
−0.997841 | + | 0.0656761i | \(0.979080\pi\) | |||||||
\(578\) | −126.116 | + | 1078.99i | −0.218194 | + | 1.86677i | ||||
\(579\) | 609.826 | + | 29.7858i | 1.05324 | + | 0.0514436i | ||||
\(580\) | 13.1086 | + | 43.7856i | 0.0226009 | + | 0.0754924i | ||||
\(581\) | 33.1742 | + | 31.2983i | 0.0570985 | + | 0.0538697i | ||||
\(582\) | 154.346 | − | 367.241i | 0.265199 | − | 0.630998i | ||||
\(583\) | −266.092 | + | 357.424i | −0.456419 | + | 0.613077i | ||||
\(584\) | 144.002 | + | 25.3915i | 0.246579 | + | 0.0434786i | ||||
\(585\) | 123.876 | + | 88.6621i | 0.211753 | + | 0.151559i | ||||
\(586\) | 56.0778 | + | 318.033i | 0.0956959 | + | 0.542719i | ||||
\(587\) | −219.768 | + | 437.593i | −0.374391 | + | 0.745474i | −0.999382 | − | 0.0351583i | \(-0.988806\pi\) |
0.624991 | + | 0.780632i | \(0.285103\pi\) | |||||||
\(588\) | −177.392 | + | 12.0013i | −0.301688 | + | 0.0204103i | ||||
\(589\) | 553.285 | − | 64.6697i | 0.939362 | − | 0.109796i | ||||
\(590\) | −57.5320 | + | 87.4732i | −0.0975119 | + | 0.148260i | ||||
\(591\) | 277.867 | + | 98.1958i | 0.470164 | + | 0.166152i | ||||
\(592\) | −53.1396 | + | 177.499i | −0.0897629 | + | 0.299829i | ||||
\(593\) | 353.306 | − | 203.982i | 0.595795 | − | 0.343982i | −0.171591 | − | 0.985168i | \(-0.554891\pi\) |
0.767386 | + | 0.641186i | \(0.221557\pi\) | |||||||
\(594\) | 72.6008 | + | 499.013i | 0.122224 | + | 0.840090i | ||||
\(595\) | 154.416 | − | 267.456i | 0.259522 | − | 0.449506i | ||||
\(596\) | 412.077 | − | 388.775i | 0.691405 | − | 0.652307i | ||||
\(597\) | 398.739 | + | 1064.38i | 0.667904 | + | 1.78288i | ||||
\(598\) | −3.42108 | + | 58.7377i | −0.00572087 | + | 0.0982236i | ||||
\(599\) | 251.363 | + | 108.428i | 0.419638 | + | 0.181014i | 0.595420 | − | 0.803415i | \(-0.296986\pi\) |
−0.175781 | + | 0.984429i | \(0.556245\pi\) | |||||||
\(600\) | −69.8474 | − | 157.840i | −0.116412 | − | 0.263067i | ||||
\(601\) | 34.8267 | + | 597.951i | 0.0579479 | + | 0.994928i | 0.894508 | + | 0.447052i | \(0.147526\pi\) |
−0.836560 | + | 0.547875i | \(0.815437\pi\) | |||||||
\(602\) | −31.2843 | + | 85.9528i | −0.0519672 | + | 0.142779i | ||||
\(603\) | 551.298 | − | 606.735i | 0.914258 | − | 1.00619i | ||||
\(604\) | −277.075 | + | 100.847i | −0.458734 | + | 0.166965i | ||||
\(605\) | −105.843 | + | 45.6562i | −0.174947 | + | 0.0754649i | ||||
\(606\) | −52.8181 | + | 232.550i | −0.0871586 | + | 0.383745i | ||||
\(607\) | −1113.98 | − | 264.018i | −1.83522 | − | 0.434955i | −0.840881 | − | 0.541221i | \(-0.817962\pi\) |
−0.994338 | + | 0.106266i | \(0.966111\pi\) | |||||||
\(608\) | 33.3974 | − | 140.915i | 0.0549300 | − | 0.231768i | ||||
\(609\) | −136.317 | − | 30.9612i | −0.223838 | − | 0.0508395i | ||||
\(610\) | −34.0207 | − | 78.8689i | −0.0557716 | − | 0.129293i | ||||
\(611\) | −246.765 | − | 677.980i | −0.403870 | − | 1.10962i | ||||
\(612\) | 557.420 | − | 178.332i | 0.910817 | − | 0.291393i | ||||
\(613\) | 172.449 | + | 62.7663i | 0.281320 | + | 0.102392i | 0.478827 | − | 0.877910i | \(-0.341062\pi\) |
−0.197507 | + | 0.980301i | \(0.563284\pi\) | |||||||
\(614\) | −598.163 | + | 34.8390i | −0.974207 | + | 0.0567411i | ||||
\(615\) | 86.2330 | − | 38.1599i | 0.140216 | − | 0.0620486i | ||||
\(616\) | −65.1090 | + | 150.940i | −0.105696 | + | 0.245032i | ||||
\(617\) | −689.541 | − | 40.1612i | −1.11757 | − | 0.0650911i | −0.510603 | − | 0.859817i | \(-0.670578\pi\) |
−0.606969 | + | 0.794726i | \(0.707615\pi\) | |||||||
\(618\) | 322.373 | − | 120.768i | 0.521639 | − | 0.195418i | ||||
\(619\) | 446.707 | + | 473.482i | 0.721659 | + | 0.764914i | 0.979537 | − | 0.201264i | \(-0.0645048\pi\) |
−0.257878 | + | 0.966177i | \(0.583023\pi\) | |||||||
\(620\) | −81.3443 | − | 46.9641i | −0.131200 | − | 0.0757486i | ||||
\(621\) | −121.840 | − | 75.3154i | −0.196200 | − | 0.121281i | ||||
\(622\) | −230.355 | − | 398.987i | −0.370346 | − | 0.641458i | ||||
\(623\) | 562.494 | + | 168.400i | 0.902880 | + | 0.270305i | ||||
\(624\) | −31.3561 | + | 88.7291i | −0.0502501 | + | 0.142194i | ||||
\(625\) | −248.406 | − | 163.379i | −0.397449 | − | 0.261407i | ||||
\(626\) | 48.9488 | + | 418.784i | 0.0781930 | + | 0.668984i | ||||
\(627\) | 68.4625 | + | 1011.95i | 0.109191 | + | 1.61396i | ||||
\(628\) | 4.83046 | + | 2.42595i | 0.00769182 | + | 0.00386298i | ||||
\(629\) | −1483.19 | + | 261.526i | −2.35801 | + | 0.415780i | ||||
\(630\) | −120.320 | − | 11.7817i | −0.190984 | − | 0.0187011i | ||||
\(631\) | 156.956 | − | 890.143i | 0.248742 | − | 1.41069i | −0.562897 | − | 0.826527i | \(-0.690313\pi\) |
0.811639 | − | 0.584159i | \(-0.198576\pi\) | |||||||
\(632\) | −274.065 | − | 204.034i | −0.433647 | − | 0.322838i | ||||
\(633\) | −726.213 | − | 305.217i | −1.14726 | − | 0.482175i | ||||
\(634\) | −54.8488 | + | 58.1363i | −0.0865123 | + | 0.0916977i | ||||
\(635\) | −181.284 | + | 54.2728i | −0.285486 | + | 0.0854690i | ||||
\(636\) | 9.87639 | − | 202.206i | 0.0155289 | − | 0.317934i | ||||
\(637\) | 230.817 | + | 26.9786i | 0.362350 | + | 0.0423527i | ||||
\(638\) | 127.112 | − | 151.486i | 0.199234 | − | 0.237438i | ||||
\(639\) | −185.347 | + | 229.491i | −0.290058 | + | 0.359140i | ||||
\(640\) | −18.7059 | + | 15.6961i | −0.0292280 | + | 0.0245252i | ||||
\(641\) | −422.978 | − | 643.108i | −0.659873 | − | 1.00329i | −0.998063 | − | 0.0622102i | \(-0.980185\pi\) |
0.338190 | − | 0.941078i | \(-0.390185\pi\) | |||||||
\(642\) | 476.081 | − | 457.669i | 0.741559 | − | 0.712880i | ||||
\(643\) | −360.136 | − | 483.746i | −0.560087 | − | 0.752327i | 0.428407 | − | 0.903586i | \(-0.359075\pi\) |
−0.988494 | + | 0.151259i | \(0.951667\pi\) | |||||||
\(644\) | −20.9562 | − | 41.7272i | −0.0325406 | − | 0.0647937i | ||||
\(645\) | 46.8070 | − | 82.8561i | 0.0725690 | − | 0.128459i | ||||
\(646\) | 1145.43 | − | 271.471i | 1.77310 | − | 0.420233i | ||||
\(647\) | − | 149.653i | − | 0.231303i | −0.993290 | − | 0.115652i | \(-0.963104\pi\) | ||
0.993290 | − | 0.115652i | \(-0.0368956\pi\) | |||||||
\(648\) | −153.739 | − | 169.859i | −0.237252 | − | 0.262129i | ||||
\(649\) | 452.983 | 0.697971 | ||||||||
\(650\) | 52.0269 | + | 219.519i | 0.0800413 | + | 0.337721i | ||||
\(651\) | 247.431 | − | 145.963i | 0.380078 | − | 0.224214i | ||||
\(652\) | −166.689 | + | 83.7145i | −0.255658 | + | 0.128397i | ||||
\(653\) | 463.849 | − | 345.323i | 0.710335 | − | 0.528825i | −0.180262 | − | 0.983619i | \(-0.557694\pi\) |
0.890597 | + | 0.454794i | \(0.150287\pi\) | |||||||
\(654\) | 73.9049 | − | 255.554i | 0.113004 | − | 0.390755i | ||||
\(655\) | 53.2117 | − | 34.9979i | 0.0812392 | − | 0.0534318i | ||||
\(656\) | 37.4450 | + | 44.6252i | 0.0570808 | + | 0.0680262i | ||||
\(657\) | 350.757 | − | 305.706i | 0.533877 | − | 0.465306i | ||||
\(658\) | 438.624 | + | 368.049i | 0.666602 | + | 0.559345i | ||||
\(659\) | 65.6569 | − | 561.731i | 0.0996311 | − | 0.852399i | −0.847334 | − | 0.531061i | \(-0.821793\pi\) |
0.946965 | − | 0.321338i | \(-0.104132\pi\) | |||||||
\(660\) | 92.6350 | − | 143.762i | 0.140356 | − | 0.217821i | ||||
\(661\) | 287.347 | + | 959.806i | 0.434716 | + | 1.45205i | 0.842362 | + | 0.538912i | \(0.181164\pi\) |
−0.407646 | + | 0.913140i | \(0.633650\pi\) | |||||||
\(662\) | −206.213 | − | 194.552i | −0.311501 | − | 0.293886i | ||||
\(663\) | −758.907 | + | 95.9223i | −1.14466 | + | 0.144679i | ||||
\(664\) | 17.5044 | − | 23.5125i | 0.0263620 | − | 0.0354103i | ||||
\(665\) | −239.470 | − | 42.2251i | −0.360106 | − | 0.0634964i | ||||
\(666\) | 333.148 | + | 486.415i | 0.500222 | + | 0.730353i | ||||
\(667\) | 9.75414 | + | 55.3185i | 0.0146239 | + | 0.0829363i | ||||
\(668\) | 34.3663 | − | 68.4289i | 0.0514465 | − | 0.102438i | ||||
\(669\) | −373.091 | + | 760.579i | −0.557685 | + | 1.13689i | ||||
\(670\) | −276.152 | + | 32.2776i | −0.412168 | + | 0.0481755i | ||||
\(671\) | −204.212 | + | 310.490i | −0.304340 | + | 0.462727i | ||||
\(672\) | −13.6576 | − | 73.4246i | −0.0203238 | − | 0.109263i | ||||
\(673\) | 98.3301 | − | 328.445i | 0.146107 | − | 0.488032i | −0.853337 | − | 0.521359i | \(-0.825425\pi\) |
0.999444 | + | 0.0333275i | \(0.0106104\pi\) | |||||||
\(674\) | −418.076 | + | 241.376i | −0.620291 | + | 0.358125i | ||||
\(675\) | −530.370 | − | 142.663i | −0.785733 | − | 0.211353i | ||||
\(676\) | −107.500 | + | 186.195i | −0.159023 | + | 0.275436i | ||||
\(677\) | −64.9235 | + | 61.2521i | −0.0958988 | + | 0.0904758i | −0.732698 | − | 0.680554i | \(-0.761739\pi\) |
0.636800 | + | 0.771029i | \(0.280258\pi\) | |||||||
\(678\) | −327.709 | − | 54.6219i | −0.483347 | − | 0.0805632i | ||||
\(679\) | 24.0258 | − | 412.508i | 0.0353842 | − | 0.607523i | ||||
\(680\) | −182.255 | − | 78.6172i | −0.268022 | − | 0.115614i | ||||
\(681\) | −42.5710 | + | 58.3160i | −0.0625125 | + | 0.0856329i | ||||
\(682\) | 23.6295 | + | 405.703i | 0.0346473 | + | 0.594872i | ||||
\(683\) | 57.5999 | − | 158.254i | 0.0843336 | − | 0.231705i | −0.890357 | − | 0.455263i | \(-0.849545\pi\) |
0.974691 | + | 0.223559i | \(0.0717674\pi\) | |||||||
\(684\) | −282.057 | − | 364.403i | −0.412364 | − | 0.532752i | ||||
\(685\) | 12.0300 | − | 4.37857i | 0.0175621 | − | 0.00639207i | ||||
\(686\) | −449.362 | + | 193.836i | −0.655046 | + | 0.282559i | ||||
\(687\) | 797.564 | + | 738.456i | 1.16094 | + | 1.07490i | ||||
\(688\) | 57.2032 | + | 13.5574i | 0.0831442 | + | 0.0197055i | ||||
\(689\) | −61.0223 | + | 257.473i | −0.0885665 | + | 0.373692i | ||||
\(690\) | 14.3684 | + | 46.4062i | 0.0208238 | + | 0.0672553i | ||||
\(691\) | −463.541 | − | 1074.61i | −0.670827 | − | 1.55515i | −0.823775 | − | 0.566917i | \(-0.808136\pi\) |
0.152948 | − | 0.988234i | \(-0.451123\pi\) | |||||||
\(692\) | 182.891 | + | 502.488i | 0.264293 | + | 0.726138i | ||||
\(693\) | 243.472 | + | 462.946i | 0.351331 | + | 0.668031i | ||||
\(694\) | 18.4977 | + | 6.73262i | 0.0266538 | + | 0.00970118i | ||||
\(695\) | −369.827 | + | 21.5400i | −0.532125 | + | 0.0309928i | ||||
\(696\) | −9.59332 | + | 89.3299i | −0.0137835 | + | 0.128348i | ||||
\(697\) | −187.551 | + | 434.791i | −0.269083 | + | 0.623804i | ||||
\(698\) | −824.458 | − | 48.0192i | −1.18117 | − | 0.0687954i | ||||
\(699\) | 471.214 | + | 387.928i | 0.674126 | + | 0.554975i | ||||
\(700\) | −122.863 | − | 130.228i | −0.175519 | − | 0.186040i | ||||
\(701\) | 448.402 | + | 258.885i | 0.639660 | + | 0.369308i | 0.784484 | − | 0.620150i | \(-0.212928\pi\) |
−0.144824 | + | 0.989457i | \(0.546261\pi\) | |||||||
\(702\) | 156.955 | + | 255.015i | 0.223582 | + | 0.363270i | ||||
\(703\) | 592.916 | + | 1026.96i | 0.843408 | + | 1.46083i | ||||
\(704\) | 101.212 | + | 30.3009i | 0.143767 | + | 0.0430411i | ||||
\(705\) | −387.174 | − | 452.730i | −0.549183 | − | 0.642170i | ||||
\(706\) | −600.219 | − | 394.770i | −0.850169 | − | 0.559165i | ||||
\(707\) | 28.7170 | + | 245.689i | 0.0406181 | + | 0.347510i | ||||
\(708\) | −170.878 | + | 114.697i | −0.241353 | + | 0.162002i | ||||
\(709\) | −1167.91 | − | 586.544i | −1.64726 | − | 0.827283i | −0.997758 | − | 0.0669205i | \(-0.978683\pi\) |
−0.649498 | − | 0.760363i | \(-0.725021\pi\) | |||||||
\(710\) | 98.5264 | − | 17.3729i | 0.138770 | − | 0.0244688i | ||||
\(711\) | −1053.01 | + | 270.512i | −1.48103 | + | 0.380467i | ||||
\(712\) | 65.5301 | − | 371.640i | 0.0920367 | − | 0.521966i | ||||
\(713\) | −92.5946 | − | 68.9341i | −0.129866 | − | 0.0966818i | ||||
\(714\) | 483.525 | − | 367.064i | 0.677205 | − | 0.514096i | ||||
\(715\) | −153.397 | + | 162.592i | −0.214542 | + | 0.227401i | ||||
\(716\) | −500.929 | + | 149.968i | −0.699621 | + | 0.209453i | ||||
\(717\) | −295.719 | + | 152.003i | −0.412439 | + | 0.211999i | ||||
\(718\) | 87.0195 | + | 10.1711i | 0.121197 | + | 0.0141659i | ||||
\(719\) | 488.032 | − | 581.614i | 0.678765 | − | 0.808920i | −0.311184 | − | 0.950350i | \(-0.600725\pi\) |
0.989948 | + | 0.141430i | \(0.0451699\pi\) | |||||||
\(720\) | 1.45652 | + | 77.6866i | 0.00202294 | + | 0.107898i | ||||
\(721\) | 273.543 | − | 229.530i | 0.379394 | − | 0.318349i | ||||
\(722\) | −228.775 | − | 347.835i | −0.316862 | − | 0.481766i | ||||
\(723\) | −245.489 | − | 994.178i | −0.339542 | − | 1.37507i | ||||
\(724\) | 70.5574 | + | 94.7750i | 0.0974550 | + | 0.130905i | ||||
\(725\) | 96.6623 | + | 192.470i | 0.133327 | + | 0.265476i | ||||
\(726\) | −226.576 | + | 2.12381i | −0.312089 | + | 0.00292536i | ||||
\(727\) | −1123.86 | + | 266.359i | −1.54588 | + | 0.366381i | −0.913030 | − | 0.407891i | \(-0.866264\pi\) |
−0.632852 | + | 0.774272i | \(0.718116\pi\) | |||||||
\(728\) | 97.6148i | 0.134086i | ||||||||
\(729\) | −727.847 | + | 40.9769i | −0.998419 | + | 0.0562097i | ||||
\(730\) | −157.800 | −0.216165 | ||||||||
\(731\) | 110.201 | + | 464.976i | 0.150754 | + | 0.636082i | ||||
\(732\) | −1.58256 | − | 168.833i | −0.00216196 | − | 0.230646i | ||||
\(733\) | −1028.36 | + | 516.464i | −1.40295 | + | 0.704589i | −0.979521 | − | 0.201340i | \(-0.935470\pi\) |
−0.423430 | + | 0.905929i | \(0.639174\pi\) | |||||||
\(734\) | 97.6145 | − | 72.6713i | 0.132990 | − | 0.0990072i | ||||
\(735\) | 186.279 | − | 45.9973i | 0.253441 | − | 0.0625813i | ||||
\(736\) | −25.0734 | + | 16.4910i | −0.0340671 | + | 0.0224063i | ||||
\(737\) | 773.232 | + | 921.502i | 1.04916 | + | 1.25034i | ||||
\(738\) | 185.331 | − | 3.47470i | 0.251126 | − | 0.00470826i | ||||
\(739\) | 226.663 | + | 190.193i | 0.306716 | + | 0.257365i | 0.783133 | − | 0.621854i | \(-0.213620\pi\) |
−0.476417 | + | 0.879219i | \(0.658065\pi\) | |||||||
\(740\) | 23.2129 | − | 198.599i | 0.0313688 | − | 0.268378i | ||||
\(741\) | 275.342 | + | 535.673i | 0.371582 | + | 0.722906i | ||||
\(742\) | −60.2270 | − | 201.172i | −0.0811684 | − | 0.271121i | ||||
\(743\) | 182.348 | + | 172.037i | 0.245422 | + | 0.231544i | 0.799116 | − | 0.601176i | \(-0.205301\pi\) |
−0.553695 | + | 0.832720i | \(0.686783\pi\) | |||||||
\(744\) | −111.639 | − | 147.060i | −0.150053 | − | 0.197661i | ||||
\(745\) | −365.091 | + | 490.402i | −0.490055 | + | 0.658258i | ||||
\(746\) | 488.175 | + | 86.0784i | 0.654390 | + | 0.115387i | ||||
\(747\) | −23.2077 | − | 90.3394i | −0.0310679 | − | 0.120936i | ||||
\(748\) | 149.126 | + | 845.733i | 0.199366 | + | 1.13066i | ||||
\(749\) | 307.431 | − | 612.145i | 0.410455 | − | 0.817283i | ||||
\(750\) | 231.395 | + | 344.737i | 0.308527 | + | 0.459650i | ||||
\(751\) | −284.535 | + | 33.2574i | −0.378875 | + | 0.0442841i | −0.303399 | − | 0.952864i | \(-0.598122\pi\) |
−0.0754756 | + | 0.997148i | \(0.524047\pi\) | |||||||
\(752\) | 202.221 | − | 307.462i | 0.268911 | − | 0.408860i | ||||
\(753\) | 399.864 | − | 341.964i | 0.531028 | − | 0.454135i | ||||
\(754\) | 33.6790 | − | 112.496i | 0.0446671 | − | 0.149198i | ||||
\(755\) | 275.570 | − | 159.101i | 0.364994 | − | 0.210729i | ||||
\(756\) | −209.064 | − | 112.988i | −0.276540 | − | 0.149455i | ||||
\(757\) | −277.511 | + | 480.663i | −0.366593 | + | 0.634957i | −0.989030 | − | 0.147712i | \(-0.952809\pi\) |
0.622438 | + | 0.782669i | \(0.286142\pi\) | |||||||
\(758\) | −125.875 | + | 118.757i | −0.166062 | + | 0.156671i | ||||
\(759\) | 133.589 | − | 162.270i | 0.176007 | − | 0.213795i | ||||
\(760\) | −9.08709 | + | 156.019i | −0.0119567 | + | 0.205289i | ||||
\(761\) | 679.954 | + | 293.304i | 0.893501 | + | 0.385419i | 0.792788 | − | 0.609497i | \(-0.208629\pi\) |
0.100713 | + | 0.994916i | \(0.467888\pi\) | |||||||
\(762\) | −369.849 | − | 39.7188i | −0.485366 | − | 0.0521245i | ||||
\(763\) | −16.0446 | − | 275.476i | −0.0210283 | − | 0.361043i | ||||
\(764\) | 259.495 | − | 712.957i | 0.339653 | − | 0.933190i | ||||
\(765\) | −558.993 | + | 293.986i | −0.730710 | + | 0.384295i | ||||
\(766\) | 931.573 | − | 339.065i | 1.21615 | − | 0.442644i | ||||
\(767\) | 246.993 | − | 106.542i | 0.322024 | − | 0.138908i | ||||
\(768\) | −45.8524 | + | 14.1970i | −0.0597037 | + | 0.0184856i | ||||
\(769\) | 1077.19 | + | 255.299i | 1.40077 | + | 0.331988i | 0.860477 | − | 0.509490i | \(-0.170166\pi\) |
0.540291 | + | 0.841478i | \(0.318314\pi\) | |||||||
\(770\) | 40.9108 | − | 172.616i | 0.0531309 | − | 0.224177i | ||||
\(771\) | −593.895 | + | 641.432i | −0.770292 | + | 0.831948i | ||||
\(772\) | −161.218 | − | 373.746i | −0.208832 | − | 0.484127i | ||||
\(773\) | 357.431 | + | 982.034i | 0.462395 | + | 1.27042i | 0.923679 | + | 0.383166i | \(0.125166\pi\) |
−0.461285 | + | 0.887252i | \(0.652611\pi\) | |||||||
\(774\) | 147.926 | − | 114.499i | 0.191119 | − | 0.147931i | ||||
\(775\) | −415.926 | − | 151.385i | −0.536679 | − | 0.195335i | ||||
\(776\) | −265.122 | + | 15.4416i | −0.341652 | + | 0.0198990i | ||||
\(777\) | 493.934 | + | 360.574i | 0.635694 | + | 0.464060i | ||||
\(778\) | −285.764 | + | 662.475i | −0.367306 | + | 0.851511i | ||||
\(779\) | 372.203 | + | 21.6783i | 0.477795 | + | 0.0278284i | ||||
\(780\) | 16.6970 | − | 100.175i | 0.0214064 | − | 0.128430i | ||||
\(781\) | −297.047 | − | 314.851i | −0.380342 | − | 0.403139i | ||||
\(782\) | −211.258 | − | 121.970i | −0.270151 | − | 0.155972i | ||||
\(783\) | 201.952 | + | 202.344i | 0.257921 | + | 0.258421i | ||||
\(784\) | 59.2659 | + | 102.652i | 0.0755943 | + | 0.130933i | ||||
\(785\) | −5.58831 | − | 1.67303i | −0.00711887 | − | 0.00213125i | ||||
\(786\) | 123.083 | − | 22.8943i | 0.156594 | − | 0.0291277i | ||||
\(787\) | 1038.99 | + | 683.354i | 1.32019 | + | 0.868302i | 0.996952 | − | 0.0780155i | \(-0.0248584\pi\) |
0.323237 | + | 0.946318i | \(0.395229\pi\) | |||||||
\(788\) | −22.8090 | − | 195.143i | −0.0289454 | − | 0.247644i | ||||
\(789\) | −1211.72 | − | 594.395i | −1.53577 | − | 0.753352i | ||||
\(790\) | 329.504 | + | 165.483i | 0.417094 | + | 0.209473i | ||||
\(791\) | −339.379 | + | 59.8417i | −0.429051 | + | 0.0756533i | ||||
\(792\) | 277.360 | − | 189.965i | 0.350203 | − | 0.239855i | ||||
\(793\) | −38.3208 | + | 217.328i | −0.0483239 | + | 0.274058i | ||||
\(794\) | 273.809 | + | 203.843i | 0.344847 | + | 0.256729i | ||||
\(795\) | 27.3962 | + | 216.751i | 0.0344607 | + | 0.272642i | ||||
\(796\) | 519.994 | − | 551.162i | 0.653259 | − | 0.692414i | ||||
\(797\) | 1390.58 | − | 416.314i | 1.74477 | − | 0.522351i | 0.753882 | − | 0.657010i | \(-0.228179\pi\) |
0.990892 | + | 0.134659i | \(0.0429940\pi\) | |||||||
\(798\) | −401.797 | − | 258.904i | −0.503505 | − | 0.324441i | ||||
\(799\) | 2971.09 | + | 347.270i | 3.71851 | + | 0.434631i | ||||
\(800\) | −73.9651 | + | 88.1482i | −0.0924564 | + | 0.110185i | ||||
\(801\) | −788.963 | − | 905.231i | −0.984972 | − | 1.13013i | ||||
\(802\) | −628.462 | + | 527.342i | −0.783618 | + | 0.657534i | ||||
\(803\) | 375.171 | + | 570.420i | 0.467212 | + | 0.710362i | ||||
\(804\) | −525.013 | − | 151.831i | −0.653002 | − | 0.188845i | ||||
\(805\) | 30.0912 | + | 40.4195i | 0.0373804 | + | 0.0502106i | ||||
\(806\) | 108.306 | + | 215.655i | 0.134375 | + | 0.267562i | ||||
\(807\) | 40.9463 | + | 69.4103i | 0.0507389 | + | 0.0860103i | ||||
\(808\) | 154.696 | − | 36.6637i | 0.191456 | − | 0.0453758i | ||||
\(809\) | 1344.05i | 1.66137i | 0.556745 | + | 0.830683i | \(0.312050\pi\) | ||||
−0.556745 | + | 0.830683i | \(0.687950\pi\) | |||||||
\(810\) | 195.221 | + | 151.712i | 0.241014 | + | 0.187299i | ||||
\(811\) | −361.286 | −0.445482 | −0.222741 | − | 0.974878i | \(-0.571500\pi\) | ||||
−0.222741 | + | 0.974878i | \(0.571500\pi\) | |||||||
\(812\) | 21.4917 | + | 90.6807i | 0.0264676 | + | 0.111676i | ||||
\(813\) | 264.701 | + | 149.535i | 0.325586 | + | 0.183930i | ||||
\(814\) | −773.090 | + | 388.261i | −0.949743 | + | 0.476979i | ||||
\(815\) | 161.466 | − | 120.207i | 0.198117 | − | 0.147493i | ||||
\(816\) | −270.398 | − | 281.276i | −0.331370 | − | 0.344700i | ||||
\(817\) | 314.352 | − | 206.753i | 0.384764 | − | 0.253063i | ||||
\(818\) | 367.066 | + | 437.453i | 0.448736 | + | 0.534783i | ||||
\(819\) | 241.641 | + | 195.160i | 0.295043 | + | 0.238290i | ||||
\(820\) | −48.1582 | − | 40.4095i | −0.0587295 | − | 0.0492799i | ||||
\(821\) | 65.0602 | − | 556.626i | 0.0792451 | − | 0.677985i | −0.893976 | − | 0.448115i | \(-0.852096\pi\) |
0.973221 | − | 0.229870i | \(-0.0738303\pi\) | |||||||
\(822\) | 25.1350 | + | 1.22767i | 0.0305779 | + | 0.00149352i | ||||
\(823\) | −120.228 | − | 401.588i | −0.146085 | − | 0.487957i | 0.853358 | − | 0.521325i | \(-0.174562\pi\) |
−0.999443 | + | 0.0333678i | \(0.989377\pi\) | |||||||
\(824\) | −166.933 | − | 157.493i | −0.202589 | − | 0.191133i | ||||
\(825\) | 312.255 | − | 742.960i | 0.378491 | − | 0.900558i | ||||
\(826\) | −127.478 | + | 171.233i | −0.154332 | + | 0.207304i | ||||
\(827\) | 504.290 | + | 88.9199i | 0.609782 | + | 0.107521i | 0.470008 | − | 0.882662i | \(-0.344251\pi\) |
0.139775 | + | 0.990183i | \(0.455362\pi\) | |||||||
\(828\) | −9.30615 | + | 95.0383i | −0.0112393 | + | 0.114781i | ||||
\(829\) | −247.972 | − | 1406.32i | −0.299122 | − | 1.69640i | −0.649961 | − | 0.759968i | \(-0.725215\pi\) |
0.350839 | − | 0.936436i | \(-0.385897\pi\) | |||||||
\(830\) | −14.1971 | + | 28.2687i | −0.0171049 | + | 0.0340587i | ||||
\(831\) | 345.947 | − | 23.4046i | 0.416302 | − | 0.0281644i | ||||
\(832\) | 62.3136 | − | 7.28341i | 0.0748961 | − | 0.00875410i | ||||
\(833\) | −529.444 | + | 804.981i | −0.635587 | + | 0.966363i | ||||
\(834\) | −686.588 | − | 242.634i | −0.823247 | − | 0.290928i | ||||
\(835\) | −23.7003 | + | 79.1646i | −0.0283836 | + | 0.0948079i | ||||
\(836\) | 585.587 | − | 338.089i | 0.700463 | − | 0.404412i | ||||
\(837\) | −587.238 | − | 17.6565i | −0.701598 | − | 0.0210950i | ||||
\(838\) | −186.090 | + | 322.317i | −0.222064 | + | 0.384626i | ||||
\(839\) | 418.880 | − | 395.193i | 0.499262 | − | 0.471029i | −0.394931 | − | 0.918711i | \(-0.629232\pi\) |
0.894193 | + | 0.447682i | \(0.147750\pi\) | |||||||
\(840\) | 28.2744 | + | 75.4745i | 0.0336600 | + | 0.0898506i | ||||
\(841\) | −42.3812 | + | 727.658i | −0.0503939 | + | 0.865229i | ||||
\(842\) | −980.996 | − | 423.161i | −1.16508 | − | 0.502566i | ||||
\(843\) | 47.5450 | + | 107.441i | 0.0563997 | + | 0.127451i | ||||
\(844\) | 30.5355 | + | 524.275i | 0.0361796 | + | 0.621179i | ||||
\(845\) | 79.3558 | − | 218.028i | 0.0939121 | − | 0.258021i | ||||
\(846\) | −356.810 | − | 1115.29i | −0.421761 | − | 1.31831i | ||||
\(847\) | −220.859 | + | 80.3860i | −0.260754 | + | 0.0949068i | ||||
\(848\) | −123.927 | + | 53.4568i | −0.146140 | + | 0.0630387i | ||||
\(849\) | −157.398 | + | 692.997i | −0.185392 | + | 0.816251i | ||||
\(850\) | −910.128 | − | 215.704i | −1.07074 | − | 0.253770i | ||||
\(851\) | 56.6711 | − | 239.114i | 0.0665936 | − | 0.280980i | ||||
\(852\) | 191.776 | + | 43.5574i | 0.225089 | + | 0.0511237i | ||||
\(853\) | −192.982 | − | 447.383i | −0.226239 | − | 0.524481i | 0.766852 | − | 0.641824i | \(-0.221822\pi\) |
−0.993092 | + | 0.117342i | \(0.962563\pi\) | |||||||
\(854\) | −59.8996 | − | 164.573i | −0.0701400 | − | 0.192708i | ||||
\(855\) | 368.051 | + | 334.422i | 0.430468 | + | 0.391137i | ||||
\(856\) | −413.708 | − | 150.578i | −0.483304 | − | 0.175908i | ||||
\(857\) | 610.960 | − | 35.5844i | 0.712905 | − | 0.0415220i | 0.302141 | − | 0.953263i | \(-0.402299\pi\) |
0.410765 | + | 0.911741i | \(0.365262\pi\) | |||||||
\(858\) | −401.813 | + | 177.810i | −0.468313 | + | 0.207238i | ||||
\(859\) | −117.397 | + | 272.158i | −0.136667 | + | 0.316831i | −0.972781 | − | 0.231725i | \(-0.925563\pi\) |
0.836114 | + | 0.548556i | \(0.184822\pi\) | |||||||
\(860\) | −63.3348 | − | 3.68883i | −0.0736451 | − | 0.00428934i | ||||
\(861\) | 180.053 | − | 67.4519i | 0.209121 | − | 0.0783414i | ||||
\(862\) | −277.709 | − | 294.354i | −0.322168 | − | 0.341478i | ||||
\(863\) | 125.966 | + | 72.7265i | 0.145963 | + | 0.0842718i | 0.571203 | − | 0.820809i | \(-0.306477\pi\) |
−0.425240 | + | 0.905081i | \(0.639810\pi\) | |||||||
\(864\) | −56.5283 | + | 141.889i | −0.0654262 | + | 0.164224i | ||||
\(865\) | −288.536 | − | 499.759i | −0.333567 | − | 0.577756i | ||||
\(866\) | 627.645 | + | 187.905i | 0.724763 | + | 0.216980i | ||||
\(867\) | 767.845 | − | 2172.79i | 0.885634 | − | 2.50610i | ||||
\(868\) | −160.010 | − | 105.240i | −0.184344 | − | 0.121245i | ||||
\(869\) | −185.206 | − | 1584.54i | −0.213125 | − | 1.82340i | ||||
\(870\) | −6.54452 | − | 96.7354i | −0.00752243 | − | 0.111190i | ||||
\(871\) | 638.349 | + | 320.591i | 0.732893 | + | 0.368072i | ||||
\(872\) | −174.656 | + | 30.7966i | −0.200294 | + | 0.0353172i | ||||
\(873\) | −491.830 | + | 687.169i | −0.563379 | + | 0.787135i | ||||
\(874\) | −33.3528 | + | 189.153i | −0.0381611 | + | 0.216422i | ||||
\(875\) | 345.453 | + | 257.180i | 0.394804 | + | 0.293920i | ||||
\(876\) | −285.958 | − | 120.184i | −0.326436 | − | 0.137196i | ||||
\(877\) | −598.570 | + | 634.447i | −0.682520 | + | 0.723429i | −0.972319 | − | 0.233659i | \(-0.924930\pi\) |
0.289799 | + | 0.957088i | \(0.406412\pi\) | |||||||
\(878\) | 649.358 | − | 194.405i | 0.739587 | − | 0.221418i | ||||
\(879\) | 33.4206 | − | 684.242i | 0.0380211 | − | 0.778432i | ||||
\(880\) | −113.244 | − | 13.2363i | −0.128686 | − | 0.0150413i | ||||
\(881\) | −72.0825 | + | 85.9046i | −0.0818189 | + | 0.0975080i | −0.805401 | − | 0.592730i | \(-0.798050\pi\) |
0.723582 | + | 0.690238i | \(0.242494\pi\) | |||||||
\(882\) | 372.599 | + | 58.5200i | 0.422447 | + | 0.0663492i | ||||
\(883\) | −40.1962 | + | 33.7286i | −0.0455223 | + | 0.0381977i | −0.665265 | − | 0.746607i | \(-0.731681\pi\) |
0.619743 | + | 0.784805i | \(0.287237\pi\) | |||||||
\(884\) | 280.230 | + | 426.068i | 0.317002 | + | 0.481978i | ||||
\(885\) | 160.111 | − | 153.919i | 0.180917 | − | 0.173920i | ||||
\(886\) | 485.189 | + | 651.722i | 0.547618 | + | 0.735578i | ||||
\(887\) | 260.955 | + | 519.605i | 0.294200 | + | 0.585800i | 0.991368 | − | 0.131107i | \(-0.0418533\pi\) |
−0.697168 | + | 0.716908i | \(0.745557\pi\) | |||||||
\(888\) | 193.323 | − | 342.213i | 0.217706 | − | 0.385375i | ||||
\(889\) | −375.442 | + | 88.9813i | −0.422319 | + | 0.100091i | ||||
\(890\) | 407.250i | 0.457584i | ||||||||
\(891\) | 84.2726 | − | 1066.39i | 0.0945821 | − | 1.19684i | ||||
\(892\) | 564.772 | 0.633153 | ||||||||
\(893\) | −543.163 | − | 2291.78i | −0.608245 | − | 2.56639i | ||||
\(894\) | −1035.10 | + | 610.622i | −1.15783 | + | 0.683023i | ||||
\(895\) | 504.271 | − | 253.255i | 0.563432 | − | 0.282966i | ||||
\(896\) | −39.9372 | + | 29.7321i | −0.0445728 | + | 0.0331832i | ||||
\(897\) | 34.6744 | − | 119.900i | 0.0386559 | − | 0.133667i | ||||
\(898\) | 922.742 | − | 606.897i | 1.02755 | − | 0.675832i | ||||
\(899\) | 148.093 | + | 176.490i | 0.164731 | + | 0.196318i | ||||
\(900\) | 70.3291 | + | 359.330i | 0.0781434 | + | 0.399256i | ||||
\(901\) | −840.397 | − | 705.177i | −0.932738 | − | 0.782660i | ||||
\(902\) | −31.5768 | + | 270.157i | −0.0350076 | + | 0.299509i | ||||
\(903\) | 105.100 | − | 163.106i | 0.116390 | − | 0.180627i | ||||
\(904\) | 63.5231 | + | 212.182i | 0.0702689 | + | 0.234714i | ||||
\(905\) | −92.7471 | − | 87.5024i | −0.102483 | − | 0.0966878i | ||||
\(906\) | 620.550 | − | 78.4345i | 0.684933 | − | 0.0865723i | ||||
\(907\) | −629.022 | + | 844.923i | −0.693519 | + | 0.931558i | −0.999792 | − | 0.0203856i | \(-0.993511\pi\) |
0.306273 | + | 0.951944i | \(0.400918\pi\) | |||||||
\(908\) | 47.4030 | + | 8.35843i | 0.0522060 | + | 0.00920532i | ||||
\(909\) | 218.523 | − | 456.244i | 0.240399 | − | 0.501918i | ||||
\(910\) | −18.2926 | − | 103.743i | −0.0201018 | − | 0.114003i | ||||
\(911\) | 531.287 | − | 1057.88i | 0.583191 | − | 1.16123i | −0.387718 | − | 0.921778i | \(-0.626737\pi\) |
0.970909 | − | 0.239450i | \(-0.0769671\pi\) | |||||||
\(912\) | −135.295 | + | 275.810i | −0.148349 | + | 0.302423i | ||||
\(913\) | 135.940 | − | 15.8891i | 0.148894 | − | 0.0174032i | ||||
\(914\) | 669.275 | − | 1017.58i | 0.732248 | − | 1.11333i | ||||
\(915\) | 33.3206 | + | 179.135i | 0.0364159 | + | 0.195776i | ||||
\(916\) | 207.824 | − | 694.181i | 0.226882 | − | 0.757839i | ||||
\(917\) | 112.463 | − | 64.9304i | 0.122642 | − | 0.0708074i | ||||
\(918\) | −1236.89 | + | 107.006i | −1.34737 | + | 0.116564i | ||||
\(919\) | −42.6572 | + | 73.8844i | −0.0464170 | + | 0.0803965i | −0.888300 | − | 0.459263i | \(-0.848114\pi\) |
0.841883 | + | 0.539659i | \(0.181447\pi\) | |||||||
\(920\) | 23.5571 | − | 22.2249i | 0.0256055 | − | 0.0241575i | ||||
\(921\) | 1253.75 | + | 208.972i | 1.36129 | + | 0.226897i | ||||
\(922\) | 49.8997 | − | 856.745i | 0.0541212 | − | 0.929224i | ||||
\(923\) | −236.021 | − | 101.809i | −0.255710 | − | 0.110303i | ||||
\(924\) | 205.604 | − | 281.648i | 0.222516 | − | 0.304814i | ||||
\(925\) | −54.7860 | − | 940.640i | −0.0592281 | − | 1.01691i | ||||
\(926\) | 315.652 | − | 867.247i | 0.340877 | − | 0.936551i | ||||
\(927\) | −723.614 | + | 98.3607i | −0.780598 | + | 0.106106i | ||||
\(928\) | 56.2835 | − | 20.4855i | 0.0606504 | − | 0.0220749i | ||||
\(929\) | 131.874 | − | 56.8847i | 0.141952 | − | 0.0612322i | −0.323919 | − | 0.946085i | \(-0.605000\pi\) |
0.465871 | + | 0.884853i | \(0.345741\pi\) | |||||||
\(930\) | 146.206 | + | 135.371i | 0.157211 | + | 0.145560i | ||||
\(931\) | 738.171 | + | 174.950i | 0.792879 | + | 0.187916i | ||||
\(932\) | 93.8380 | − | 395.934i | 0.100685 | − | 0.424822i | ||||
\(933\) | 289.060 | + | 933.589i | 0.309818 | + | 1.00063i | ||||
\(934\) | −361.170 | − | 837.287i | −0.386692 | − | 0.896453i | ||||
\(935\) | −316.974 | − | 870.879i | −0.339010 | − | 0.931421i | ||||
\(936\) | 106.553 | − | 168.816i | 0.113839 | − | 0.180359i | ||||
\(937\) | −212.199 | − | 77.2340i | −0.226466 | − | 0.0824269i | 0.226295 | − | 0.974059i | \(-0.427339\pi\) |
−0.452761 | + | 0.891632i | \(0.649561\pi\) | |||||||
\(938\) | −565.941 | + | 32.9623i | −0.603349 | + | 0.0351411i | ||||
\(939\) | 95.5047 | − | 889.309i | 0.101709 | − | 0.947081i | ||||
\(940\) | −157.299 | + | 364.659i | −0.167339 | + | 0.387935i | ||||
\(941\) | 171.714 | + | 10.0012i | 0.182481 | + | 0.0106283i | 0.149142 | − | 0.988816i | \(-0.452349\pi\) |
0.0333389 | + | 0.999444i | \(0.489386\pi\) | |||||||
\(942\) | −8.85265 | − | 7.28795i | −0.00939772 | − | 0.00773668i | ||||
\(943\) | −53.0202 | − | 56.1981i | −0.0562250 | − | 0.0595951i | ||||
\(944\) | 118.820 | + | 68.6009i | 0.125869 | + | 0.0726705i | ||||
\(945\) | 243.362 | + | 80.9032i | 0.257526 | + | 0.0856119i | ||||
\(946\) | 137.244 | + | 237.714i | 0.145079 | + | 0.251284i | ||||
\(947\) | 328.550 | + | 98.3614i | 0.346938 | + | 0.103866i | 0.455531 | − | 0.890220i | \(-0.349449\pi\) |
−0.108593 | + | 0.994086i | \(0.534635\pi\) | |||||||
\(948\) | 471.076 | + | 550.838i | 0.496916 | + | 0.581053i | ||||
\(949\) | 338.729 | + | 222.786i | 0.356933 | + | 0.234758i | ||||
\(950\) | 85.4976 | + | 731.479i | 0.0899974 | + | 0.769977i | ||||
\(951\) | 140.777 | − | 94.4926i | 0.148030 | − | 0.0993613i | ||||
\(952\) | −361.664 | − | 181.635i | −0.379899 | − | 0.190793i | ||||
\(953\) | −157.077 | + | 27.6969i | −0.164824 | + | 0.0290629i | −0.255451 | − | 0.966822i | \(-0.582224\pi\) |
0.0906271 | + | 0.995885i | \(0.471113\pi\) | |||||||
\(954\) | −115.435 | + | 413.650i | −0.121002 | + | 0.433596i | ||||
\(955\) | −142.180 | + | 806.342i | −0.148879 | + | 0.844337i | ||||
\(956\) | 177.803 | + | 132.369i | 0.185986 | + | 0.138461i | ||||
\(957\) | −334.121 | + | 253.646i | −0.349134 | + | 0.265043i | ||||
\(958\) | −162.479 | + | 172.218i | −0.169603 | + | 0.179768i | ||||
\(959\) | 25.0065 | − | 7.48645i | 0.0260756 | − | 0.00780651i | ||||
\(960\) | 46.0704 | − | 23.6807i | 0.0479900 | − | 0.0246674i | ||||
\(961\) | 484.233 | + | 56.5988i | 0.503885 | + | 0.0588957i | ||||
\(962\) | −330.214 | + | 393.534i | −0.343258 | + | 0.409079i | ||||
\(963\) | −1199.87 | + | 723.067i | −1.24597 | + | 0.750849i | ||||
\(964\) | −522.972 | + | 438.826i | −0.542503 | + | 0.455214i | ||||
\(965\) | 241.377 | + | 366.997i | 0.250132 | + | 0.380307i | ||||
\(966\) | 23.7455 | + | 96.1643i | 0.0245813 | + | 0.0995490i | ||||
\(967\) | −26.1747 | − | 35.1587i | −0.0270679 | − | 0.0363586i | 0.788383 | − | 0.615184i | \(-0.210918\pi\) |
−0.815451 | + | 0.578826i | \(0.803511\pi\) | |||||||
\(968\) | 67.7945 | + | 134.990i | 0.0700356 | + | 0.139452i | ||||
\(969\) | −2497.01 | + | 23.4058i | −2.57690 | + | 0.0241546i | ||||
\(970\) | 278.872 | − | 66.0938i | 0.287496 | − | 0.0681379i | ||||
\(971\) | 696.672i | 0.717479i | 0.933438 | + | 0.358739i | \(0.116793\pi\) | ||||
−0.933438 | + | 0.358739i | \(0.883207\pi\) | |||||||
\(972\) | 238.224 | + | 423.610i | 0.245086 | + | 0.435813i | ||||
\(973\) | −755.345 | −0.776306 | ||||||||
\(974\) | −206.652 | − | 871.932i | −0.212168 | − | 0.895207i | ||||
\(975\) | −4.48567 | − | 478.548i | −0.00460069 | − | 0.490819i | ||||
\(976\) | −100.588 | + | 50.5170i | −0.103061 | + | 0.0517592i | ||||
\(977\) | −341.137 | + | 253.967i | −0.349168 | + | 0.259946i | −0.757427 | − | 0.652920i | \(-0.773544\pi\) |
0.408259 | + | 0.912866i | \(0.366136\pi\) | |||||||
\(978\) | 384.152 | − | 94.8572i | 0.392793 | − | 0.0969910i | ||||
\(979\) | 1472.14 | − | 968.239i | 1.50371 | − | 0.989008i | ||||
\(980\) | −82.2229 | − | 97.9894i | −0.0839009 | − | 0.0999892i | ||||
\(981\) | −272.952 | + | 493.923i | −0.278238 | + | 0.503490i | ||||
\(982\) | 84.7718 | + | 71.1320i | 0.0863257 | + | 0.0724359i | ||||
\(983\) | 51.6625 | − | 442.001i | 0.0525560 | − | 0.449645i | −0.941181 | − | 0.337902i | \(-0.890283\pi\) |
0.993737 | − | 0.111743i | \(-0.0356433\pi\) | |||||||
\(984\) | −56.4932 | − | 109.906i | −0.0574118 | − | 0.111693i | ||||
\(985\) | 60.8099 | + | 203.119i | 0.0617359 | + | 0.206212i | ||||
\(986\) | 354.130 | + | 334.105i | 0.359159 | + | 0.338849i | ||||
\(987\) | −734.428 | − | 967.443i | −0.744101 | − | 0.980186i | ||||
\(988\) | 239.777 | − | 322.076i | 0.242689 | − | 0.325988i | ||||
\(989\) | −76.7852 | − | 13.5393i | −0.0776392 | − | 0.0136899i | ||||
\(990\) | −259.173 | + | 253.867i | −0.261791 | + | 0.256431i | ||||
\(991\) | 188.730 | + | 1070.34i | 0.190444 | + | 1.08006i | 0.918759 | + | 0.394818i | \(0.129192\pi\) |
−0.728316 | + | 0.685242i | \(0.759697\pi\) | |||||||
\(992\) | −55.2425 | + | 109.997i | −0.0556880 | + | 0.110884i | ||||
\(993\) | 335.172 | + | 499.345i | 0.337534 | + | 0.502865i | ||||
\(994\) | 202.612 | − | 23.6820i | 0.203835 | − | 0.0238249i | ||||
\(995\) | −449.352 | + | 683.206i | −0.451610 | + | 0.686639i | ||||
\(996\) | −47.2573 | + | 40.4144i | −0.0474471 | + | 0.0405767i | ||||
\(997\) | −418.385 | + | 1397.50i | −0.419643 | + | 1.40171i | 0.443285 | + | 0.896381i | \(0.353813\pi\) |
−0.862928 | + | 0.505326i | \(0.831372\pi\) | |||||||
\(998\) | −144.989 | + | 83.7093i | −0.145279 | + | 0.0838770i | ||||
\(999\) | −460.624 | − | 1162.74i | −0.461085 | − | 1.16391i |
(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 | 162.3.h.a.5.14 | ✓ | 324 | |
81.65 | odd | 54 | inner | 162.3.h.a.65.14 | yes | 324 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
162.3.h.a.5.14 | ✓ | 324 | 1.1 | even | 1 | trivial | |
162.3.h.a.65.14 | yes | 324 | 81.65 | odd | 54 | inner |