Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,3,Mod(11,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.t (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.86104277578\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 86.11 | ||
Character | \(\chi\) | \(=\) | 105.86 |
Dual form | 105.3.t.b.11.11 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.860118 | + | 0.496589i | 0.430059 | + | 0.248295i | 0.699372 | − | 0.714758i | \(-0.253463\pi\) |
−0.269313 | + | 0.963053i | \(0.586797\pi\) | |||||||
\(3\) | −2.67624 | + | 1.35563i | −0.892080 | + | 0.451878i | ||||
\(4\) | −1.50680 | − | 2.60985i | −0.376700 | − | 0.652463i | ||||
\(5\) | −1.93649 | − | 1.11803i | −0.387298 | − | 0.223607i | ||||
\(6\) | −2.97507 | − | 0.162987i | −0.495846 | − | 0.0271644i | ||||
\(7\) | −1.66850 | − | 6.79824i | −0.238358 | − | 0.971177i | ||||
\(8\) | − | 6.96575i | − | 0.870719i | ||||||
\(9\) | 5.32451 | − | 7.25600i | 0.591613 | − | 0.806222i | ||||
\(10\) | −1.11041 | − | 1.92328i | −0.111041 | − | 0.192328i | ||||
\(11\) | 0.568919 | − | 0.328465i | 0.0517199 | − | 0.0298605i | −0.473917 | − | 0.880569i | \(-0.657160\pi\) |
0.525637 | + | 0.850709i | \(0.323827\pi\) | |||||||
\(12\) | 7.57056 | + | 4.94192i | 0.630880 | + | 0.411827i | ||||
\(13\) | −10.1624 | −0.781724 | −0.390862 | − | 0.920449i | \(-0.627823\pi\) | ||||
−0.390862 | + | 0.920449i | \(0.627823\pi\) | |||||||
\(14\) | 1.94082 | − | 6.67585i | 0.138630 | − | 0.476846i | ||||
\(15\) | 6.69816 | + | 0.366952i | 0.446544 | + | 0.0244635i | ||||
\(16\) | −2.56808 | + | 4.44804i | −0.160505 | + | 0.278002i | ||||
\(17\) | −16.8362 | + | 9.72041i | −0.990367 | + | 0.571789i | −0.905384 | − | 0.424594i | \(-0.860417\pi\) |
−0.0849830 | + | 0.996382i | \(0.527084\pi\) | |||||||
\(18\) | 8.18296 | − | 3.59692i | 0.454609 | − | 0.199829i | ||||
\(19\) | 9.11844 | − | 15.7936i | 0.479918 | − | 0.831242i | −0.519817 | − | 0.854278i | \(-0.674000\pi\) |
0.999735 | + | 0.0230359i | \(0.00733320\pi\) | |||||||
\(20\) | 6.73861i | 0.336930i | ||||||||
\(21\) | 13.6812 | + | 15.9318i | 0.651488 | + | 0.758659i | ||||
\(22\) | 0.652449 | 0.0296568 | ||||||||
\(23\) | −3.29154 | − | 1.90037i | −0.143110 | − | 0.0826248i | 0.426735 | − | 0.904377i | \(-0.359664\pi\) |
−0.569846 | + | 0.821752i | \(0.692997\pi\) | |||||||
\(24\) | 9.44301 | + | 18.6420i | 0.393459 | + | 0.776751i | ||||
\(25\) | 2.50000 | + | 4.33013i | 0.100000 | + | 0.173205i | ||||
\(26\) | −8.74087 | − | 5.04654i | −0.336187 | − | 0.194098i | ||||
\(27\) | −4.41319 | + | 26.6369i | −0.163451 | + | 0.986551i | ||||
\(28\) | −15.2283 | + | 14.5981i | −0.543868 | + | 0.521362i | ||||
\(29\) | − | 50.8888i | − | 1.75478i | −0.479774 | − | 0.877392i | \(-0.659281\pi\) | ||
0.479774 | − | 0.877392i | \(-0.340719\pi\) | |||||||
\(30\) | 5.57898 | + | 3.64186i | 0.185966 | + | 0.121395i | ||||
\(31\) | 26.8895 | + | 46.5740i | 0.867404 | + | 1.50239i | 0.864640 | + | 0.502392i | \(0.167546\pi\) |
0.00276405 | + | 0.999996i | \(0.499120\pi\) | |||||||
\(32\) | −28.5478 | + | 16.4821i | −0.892118 | + | 0.515064i | ||||
\(33\) | −1.07728 | + | 1.65030i | −0.0326450 | + | 0.0500090i | ||||
\(34\) | −19.3082 | −0.567888 | ||||||||
\(35\) | −4.36962 | + | 15.0302i | −0.124846 | + | 0.429434i | ||||
\(36\) | −26.9601 | − | 2.96285i | −0.748890 | − | 0.0823015i | ||||
\(37\) | 7.81834 | − | 13.5418i | 0.211306 | − | 0.365993i | −0.740817 | − | 0.671707i | \(-0.765562\pi\) |
0.952124 | + | 0.305713i | \(0.0988949\pi\) | |||||||
\(38\) | 15.6859 | − | 9.05623i | 0.412786 | − | 0.238322i | ||||
\(39\) | 27.1970 | − | 13.7765i | 0.697360 | − | 0.353244i | ||||
\(40\) | −7.78795 | + | 13.4891i | −0.194699 | + | 0.337228i | ||||
\(41\) | − | 57.3936i | − | 1.39985i | −0.714219 | − | 0.699923i | \(-0.753218\pi\) | ||
0.714219 | − | 0.699923i | \(-0.246782\pi\) | |||||||
\(42\) | 3.85590 | + | 20.4972i | 0.0918072 | + | 0.488029i | ||||
\(43\) | 65.7755 | 1.52966 | 0.764831 | − | 0.644230i | \(-0.222822\pi\) | ||||
0.764831 | + | 0.644230i | \(0.222822\pi\) | |||||||
\(44\) | −1.71449 | − | 0.989862i | −0.0389657 | − | 0.0224969i | ||||
\(45\) | −18.4233 | + | 8.09820i | −0.409407 | + | 0.179960i | ||||
\(46\) | −1.88741 | − | 3.26909i | −0.0410306 | − | 0.0710671i | ||||
\(47\) | 22.4206 | + | 12.9445i | 0.477034 | + | 0.275416i | 0.719180 | − | 0.694824i | \(-0.244518\pi\) |
−0.242146 | + | 0.970240i | \(0.577851\pi\) | |||||||
\(48\) | 0.842874 | − | 15.3854i | 0.0175599 | − | 0.320529i | ||||
\(49\) | −43.4322 | + | 22.6858i | −0.886371 | + | 0.462976i | ||||
\(50\) | 4.96589i | 0.0993178i | ||||||||
\(51\) | 31.8805 | − | 48.8379i | 0.625108 | − | 0.957606i | ||||
\(52\) | 15.3127 | + | 26.5224i | 0.294475 | + | 0.510046i | ||||
\(53\) | −5.64406 | + | 3.25860i | −0.106492 | + | 0.0614830i | −0.552300 | − | 0.833645i | \(-0.686250\pi\) |
0.445808 | + | 0.895129i | \(0.352916\pi\) | |||||||
\(54\) | −17.0235 | + | 20.7193i | −0.315249 | + | 0.383691i | ||||
\(55\) | −1.46894 | −0.0267080 | ||||||||
\(56\) | −47.3549 | + | 11.6224i | −0.845623 | + | 0.207543i | ||||
\(57\) | −2.99278 | + | 54.6287i | −0.0525049 | + | 0.958398i | ||||
\(58\) | 25.2708 | − | 43.7703i | 0.435704 | − | 0.754661i | ||||
\(59\) | 18.7268 | − | 10.8119i | 0.317403 | − | 0.183253i | −0.332831 | − | 0.942986i | \(-0.608004\pi\) |
0.650234 | + | 0.759734i | \(0.274671\pi\) | |||||||
\(60\) | −9.13508 | − | 18.0341i | −0.152251 | − | 0.300569i | ||||
\(61\) | 17.1465 | − | 29.6986i | 0.281090 | − | 0.486862i | −0.690564 | − | 0.723272i | \(-0.742637\pi\) |
0.971653 | + | 0.236410i | \(0.0759708\pi\) | |||||||
\(62\) | 53.4122i | 0.861487i | ||||||||
\(63\) | −58.2120 | − | 24.0906i | −0.924000 | − | 0.382391i | ||||
\(64\) | −12.1947 | −0.190542 | ||||||||
\(65\) | 19.6794 | + | 11.3619i | 0.302760 | + | 0.174799i | ||||
\(66\) | −1.74611 | + | 0.884483i | −0.0264562 | + | 0.0134013i | ||||
\(67\) | −39.5814 | − | 68.5571i | −0.590768 | − | 1.02324i | −0.994129 | − | 0.108199i | \(-0.965492\pi\) |
0.403361 | − | 0.915041i | \(-0.367842\pi\) | |||||||
\(68\) | 50.7376 | + | 29.2934i | 0.746142 | + | 0.430785i | ||||
\(69\) | 11.3852 | + | 0.623725i | 0.165002 | + | 0.00903949i | ||||
\(70\) | −11.2222 | + | 10.7578i | −0.160317 | + | 0.153683i | ||||
\(71\) | 39.0201i | 0.549579i | 0.961504 | + | 0.274789i | \(0.0886082\pi\) | ||||
−0.961504 | + | 0.274789i | \(0.911392\pi\) | |||||||
\(72\) | −50.5435 | − | 37.0892i | −0.701993 | − | 0.515128i | ||||
\(73\) | −19.9202 | − | 34.5027i | −0.272879 | − | 0.472640i | 0.696719 | − | 0.717344i | \(-0.254643\pi\) |
−0.969598 | + | 0.244704i | \(0.921309\pi\) | |||||||
\(74\) | 13.4494 | − | 7.76500i | 0.181748 | − | 0.104932i | ||||
\(75\) | −12.5607 | − | 8.19937i | −0.167476 | − | 0.109325i | ||||
\(76\) | −54.9586 | −0.723139 | ||||||||
\(77\) | −3.18223 | − | 3.31960i | −0.0413277 | − | 0.0431117i | ||||
\(78\) | 30.2339 | + | 1.65634i | 0.387614 | + | 0.0212351i | ||||
\(79\) | 31.9251 | − | 55.2959i | 0.404116 | − | 0.699949i | −0.590103 | − | 0.807328i | \(-0.700913\pi\) |
0.994218 | + | 0.107380i | \(0.0342460\pi\) | |||||||
\(80\) | 9.94611 | − | 5.74239i | 0.124326 | − | 0.0717799i | ||||
\(81\) | −24.2991 | − | 77.2693i | −0.299989 | − | 0.953943i | ||||
\(82\) | 28.5011 | − | 49.3653i | 0.347574 | − | 0.602016i | ||||
\(83\) | − | 75.6992i | − | 0.912038i | −0.889970 | − | 0.456019i | \(-0.849275\pi\) | ||
0.889970 | − | 0.456019i | \(-0.150725\pi\) | |||||||
\(84\) | 20.9649 | − | 59.7121i | 0.249582 | − | 0.710858i | ||||
\(85\) | 43.4710 | 0.511423 | ||||||||
\(86\) | 56.5747 | + | 32.6634i | 0.657845 | + | 0.379807i | ||||
\(87\) | 68.9865 | + | 136.190i | 0.792949 | + | 1.56541i | ||||
\(88\) | −2.28801 | − | 3.96295i | −0.0260001 | − | 0.0450335i | ||||
\(89\) | −57.0756 | − | 32.9526i | −0.641299 | − | 0.370254i | 0.143816 | − | 0.989604i | \(-0.454063\pi\) |
−0.785115 | + | 0.619350i | \(0.787396\pi\) | |||||||
\(90\) | −19.8677 | − | 2.18342i | −0.220752 | − | 0.0242602i | ||||
\(91\) | 16.9560 | + | 69.0865i | 0.186330 | + | 0.759193i | ||||
\(92\) | 11.4539i | 0.124499i | ||||||||
\(93\) | −135.100 | − | 88.1909i | −1.45269 | − | 0.948289i | ||||
\(94\) | 12.8562 | + | 22.2677i | 0.136769 | + | 0.236890i | ||||
\(95\) | −35.3155 | + | 20.3894i | −0.371743 | + | 0.214626i | ||||
\(96\) | 54.0570 | − | 82.8103i | 0.563094 | − | 0.862607i | ||||
\(97\) | −113.808 | −1.17328 | −0.586638 | − | 0.809849i | \(-0.699549\pi\) | ||||
−0.586638 | + | 0.809849i | \(0.699549\pi\) | |||||||
\(98\) | −48.6223 | − | 2.05549i | −0.496146 | − | 0.0209744i | ||||
\(99\) | 0.645869 | − | 5.87699i | 0.00652393 | − | 0.0593636i | ||||
\(100\) | 7.53399 | − | 13.0493i | 0.0753399 | − | 0.130493i | ||||
\(101\) | 124.672 | − | 71.9795i | 1.23438 | − | 0.712668i | 0.266438 | − | 0.963852i | \(-0.414153\pi\) |
0.967939 | + | 0.251184i | \(0.0808198\pi\) | |||||||
\(102\) | 51.6734 | − | 26.1748i | 0.506602 | − | 0.256616i | ||||
\(103\) | −71.8026 | + | 124.366i | −0.697112 | + | 1.20743i | 0.272351 | + | 0.962198i | \(0.412199\pi\) |
−0.969463 | + | 0.245236i | \(0.921135\pi\) | |||||||
\(104\) | 70.7888i | 0.680662i | ||||||||
\(105\) | −8.68128 | − | 46.1480i | −0.0826789 | − | 0.439504i | ||||
\(106\) | −6.47274 | −0.0610636 | ||||||||
\(107\) | −2.65292 | − | 1.53166i | −0.0247936 | − | 0.0143146i | 0.487552 | − | 0.873094i | \(-0.337890\pi\) |
−0.512346 | + | 0.858779i | \(0.671223\pi\) | |||||||
\(108\) | 76.1681 | − | 28.6187i | 0.705260 | − | 0.264988i | ||||
\(109\) | 18.7190 | + | 32.4223i | 0.171734 | + | 0.297453i | 0.939026 | − | 0.343845i | \(-0.111730\pi\) |
−0.767292 | + | 0.641298i | \(0.778396\pi\) | |||||||
\(110\) | −1.26346 | − | 0.729461i | −0.0114860 | − | 0.00663146i | ||||
\(111\) | −2.56607 | + | 46.8398i | −0.0231178 | + | 0.421980i | ||||
\(112\) | 34.5237 | + | 10.0368i | 0.308247 | + | 0.0896145i | ||||
\(113\) | 170.551i | 1.50930i | 0.656126 | + | 0.754652i | \(0.272194\pi\) | ||||
−0.656126 | + | 0.754652i | \(0.727806\pi\) | |||||||
\(114\) | −29.7022 | + | 45.5009i | −0.260545 | + | 0.399131i | ||||
\(115\) | 4.24936 | + | 7.36011i | 0.0369510 | + | 0.0640009i | ||||
\(116\) | −132.812 | + | 76.6791i | −1.14493 | + | 0.661027i | ||||
\(117\) | −54.1099 | + | 73.7385i | −0.462478 | + | 0.630243i | ||||
\(118\) | 21.4763 | 0.182003 | ||||||||
\(119\) | 94.1730 | + | 98.2383i | 0.791370 | + | 0.825532i | ||||
\(120\) | 2.55610 | − | 46.6577i | 0.0213008 | − | 0.388814i | ||||
\(121\) | −60.2842 | + | 104.415i | −0.498217 | + | 0.862937i | ||||
\(122\) | 29.4960 | − | 17.0295i | 0.241770 | − | 0.139586i | ||||
\(123\) | 77.8048 | + | 153.599i | 0.632559 | + | 1.24877i | ||||
\(124\) | 81.0342 | − | 140.355i | 0.653502 | − | 1.13190i | ||||
\(125\) | − | 11.1803i | − | 0.0894427i | ||||||
\(126\) | −38.1060 | − | 49.6283i | −0.302429 | − | 0.393875i | ||||
\(127\) | 107.463 | 0.846168 | 0.423084 | − | 0.906091i | \(-0.360948\pi\) | ||||
0.423084 | + | 0.906091i | \(0.360948\pi\) | |||||||
\(128\) | 103.702 | + | 59.8725i | 0.810174 | + | 0.467754i | ||||
\(129\) | −176.031 | + | 89.1675i | −1.36458 | + | 0.691221i | ||||
\(130\) | 11.2844 | + | 19.5452i | 0.0868032 | + | 0.150348i | ||||
\(131\) | −36.8200 | − | 21.2580i | −0.281068 | − | 0.162275i | 0.352839 | − | 0.935684i | \(-0.385216\pi\) |
−0.633907 | + | 0.773409i | \(0.718550\pi\) | |||||||
\(132\) | 5.93028 | + | 0.324885i | 0.0449264 | + | 0.00246125i | ||||
\(133\) | −122.583 | − | 35.6376i | −0.921675 | − | 0.267952i | ||||
\(134\) | − | 78.6229i | − | 0.586738i | ||||||
\(135\) | 38.3270 | − | 46.6480i | 0.283904 | − | 0.345541i | ||||
\(136\) | 67.7100 | + | 117.277i | 0.497867 | + | 0.862331i | ||||
\(137\) | 113.230 | − | 65.3735i | 0.826498 | − | 0.477179i | −0.0261540 | − | 0.999658i | \(-0.508326\pi\) |
0.852652 | + | 0.522479i | \(0.174993\pi\) | |||||||
\(138\) | 9.48284 | + | 6.19022i | 0.0687162 | + | 0.0448567i | ||||
\(139\) | 59.1673 | 0.425664 | 0.212832 | − | 0.977089i | \(-0.431731\pi\) | ||||
0.212832 | + | 0.977089i | \(0.431731\pi\) | |||||||
\(140\) | 45.8107 | − | 11.2434i | 0.327219 | − | 0.0803100i | ||||
\(141\) | −77.5510 | − | 4.24856i | −0.550007 | − | 0.0301316i | ||||
\(142\) | −19.3770 | + | 33.5619i | −0.136458 | + | 0.236351i | ||||
\(143\) | −5.78159 | + | 3.33800i | −0.0404307 | + | 0.0233427i | ||||
\(144\) | 18.6012 | + | 42.3176i | 0.129175 | + | 0.293872i | ||||
\(145\) | −56.8954 | + | 98.5456i | −0.392382 | + | 0.679625i | ||||
\(146\) | − | 39.5686i | − | 0.271018i | ||||||
\(147\) | 85.4813 | − | 119.591i | 0.581505 | − | 0.813543i | ||||
\(148\) | −47.1226 | −0.318396 | ||||||||
\(149\) | 161.380 | + | 93.1729i | 1.08309 | + | 0.625321i | 0.931728 | − | 0.363157i | \(-0.118301\pi\) |
0.151360 | + | 0.988479i | \(0.451635\pi\) | |||||||
\(150\) | −6.73193 | − | 13.2899i | −0.0448796 | − | 0.0885994i | ||||
\(151\) | 76.5651 | + | 132.615i | 0.507054 | + | 0.878243i | 0.999967 | + | 0.00816421i | \(0.00259878\pi\) |
−0.492913 | + | 0.870079i | \(0.664068\pi\) | |||||||
\(152\) | −110.014 | − | 63.5168i | −0.723778 | − | 0.417873i | ||||
\(153\) | −19.1135 | + | 173.920i | −0.124925 | + | 1.13673i | ||||
\(154\) | −1.08862 | − | 4.43551i | −0.00706893 | − | 0.0288020i | ||||
\(155\) | − | 120.254i | − | 0.775830i | ||||||
\(156\) | −76.9351 | − | 50.2218i | −0.493174 | − | 0.321935i | ||||
\(157\) | −110.622 | − | 191.604i | −0.704601 | − | 1.22040i | −0.966835 | − | 0.255401i | \(-0.917793\pi\) |
0.262234 | − | 0.965004i | \(-0.415541\pi\) | |||||||
\(158\) | 54.9187 | − | 31.7074i | 0.347587 | − | 0.200679i | ||||
\(159\) | 10.6874 | − | 16.3721i | 0.0672163 | − | 0.102969i | ||||
\(160\) | 73.7100 | 0.460688 | ||||||||
\(161\) | −7.42723 | + | 25.5475i | −0.0461319 | + | 0.158680i | ||||
\(162\) | 17.4710 | − | 78.5274i | 0.107846 | − | 0.484737i | ||||
\(163\) | 43.5042 | − | 75.3516i | 0.266897 | − | 0.462280i | −0.701162 | − | 0.713002i | \(-0.747335\pi\) |
0.968059 | + | 0.250723i | \(0.0806682\pi\) | |||||||
\(164\) | −149.789 | + | 86.4806i | −0.913347 | + | 0.527321i | ||||
\(165\) | 3.93124 | − | 1.99135i | 0.0238257 | − | 0.0120688i | ||||
\(166\) | 37.5914 | − | 65.1102i | 0.226454 | − | 0.392230i | ||||
\(167\) | − | 296.532i | − | 1.77564i | −0.460193 | − | 0.887819i | \(-0.652220\pi\) | ||
0.460193 | − | 0.887819i | \(-0.347780\pi\) | |||||||
\(168\) | 110.977 | − | 95.3002i | 0.660579 | − | 0.567263i | ||||
\(169\) | −65.7254 | −0.388908 | ||||||||
\(170\) | 37.3902 | + | 21.5872i | 0.219942 | + | 0.126984i | ||||
\(171\) | −66.0471 | − | 150.257i | −0.386240 | − | 0.878693i | ||||
\(172\) | −99.1104 | − | 171.664i | −0.576223 | − | 0.998048i | ||||
\(173\) | −35.2279 | − | 20.3388i | −0.203629 | − | 0.117565i | 0.394718 | − | 0.918802i | \(-0.370842\pi\) |
−0.598347 | + | 0.801237i | \(0.704176\pi\) | |||||||
\(174\) | −8.29419 | + | 151.398i | −0.0476677 | + | 0.870102i | ||||
\(175\) | 25.2660 | − | 24.2204i | 0.144377 | − | 0.138403i | ||||
\(176\) | 3.37409i | 0.0191710i | ||||||||
\(177\) | −35.4604 | + | 54.3219i | −0.200341 | + | 0.306904i | ||||
\(178\) | −32.7278 | − | 56.6863i | −0.183864 | − | 0.318462i | ||||
\(179\) | −263.287 | + | 152.009i | −1.47088 | + | 0.849213i | −0.999465 | − | 0.0326995i | \(-0.989590\pi\) |
−0.471414 | + | 0.881912i | \(0.656256\pi\) | |||||||
\(180\) | 48.8953 | + | 35.8798i | 0.271641 | + | 0.199332i | ||||
\(181\) | −15.1747 | −0.0838380 | −0.0419190 | − | 0.999121i | \(-0.513347\pi\) | ||||
−0.0419190 | + | 0.999121i | \(0.513347\pi\) | |||||||
\(182\) | −19.7234 | + | 67.8427i | −0.108371 | + | 0.372762i | ||||
\(183\) | −5.62768 | + | 102.725i | −0.0307524 | + | 0.561338i | ||||
\(184\) | −13.2375 | + | 22.9281i | −0.0719430 | + | 0.124609i | ||||
\(185\) | −30.2803 | + | 17.4823i | −0.163677 | + | 0.0944991i | ||||
\(186\) | −72.4074 | − | 142.944i | −0.389287 | − | 0.768515i | ||||
\(187\) | −6.38563 | + | 11.0602i | −0.0341478 | + | 0.0591457i | ||||
\(188\) | − | 78.0192i | − | 0.414996i | ||||||
\(189\) | 188.447 | − | 14.4419i | 0.997076 | − | 0.0764120i | ||||
\(190\) | −40.5007 | −0.213162 | ||||||||
\(191\) | 79.3405 | + | 45.8073i | 0.415395 | + | 0.239829i | 0.693105 | − | 0.720836i | \(-0.256242\pi\) |
−0.277710 | + | 0.960665i | \(0.589575\pi\) | |||||||
\(192\) | 32.6358 | − | 16.5315i | 0.169978 | − | 0.0861015i | ||||
\(193\) | −37.3477 | − | 64.6880i | −0.193511 | − | 0.335171i | 0.752900 | − | 0.658135i | \(-0.228654\pi\) |
−0.946411 | + | 0.322963i | \(0.895321\pi\) | |||||||
\(194\) | −97.8881 | − | 56.5157i | −0.504578 | − | 0.291318i | ||||
\(195\) | −68.0694 | − | 3.72912i | −0.349074 | − | 0.0191237i | ||||
\(196\) | 124.650 | + | 79.1686i | 0.635970 | + | 0.403921i | ||||
\(197\) | − | 125.342i | − | 0.636251i | −0.948049 | − | 0.318126i | \(-0.896947\pi\) | ||
0.948049 | − | 0.318126i | \(-0.103053\pi\) | |||||||
\(198\) | 3.47398 | − | 4.73417i | 0.0175453 | − | 0.0239100i | ||||
\(199\) | −72.8077 | − | 126.107i | −0.365868 | − | 0.633701i | 0.623047 | − | 0.782184i | \(-0.285894\pi\) |
−0.988915 | + | 0.148483i | \(0.952561\pi\) | |||||||
\(200\) | 30.1626 | − | 17.4144i | 0.150813 | − | 0.0870719i | ||||
\(201\) | 198.868 | + | 129.817i | 0.989392 | + | 0.645857i | ||||
\(202\) | 142.977 | 0.707807 | ||||||||
\(203\) | −345.954 | + | 84.9081i | −1.70421 | + | 0.418267i | ||||
\(204\) | −175.497 | − | 9.61445i | −0.860280 | − | 0.0471296i | ||||
\(205\) | −64.1680 | + | 111.142i | −0.313015 | + | 0.542158i | ||||
\(206\) | −123.517 | + | 71.3128i | −0.599599 | + | 0.346178i | ||||
\(207\) | −31.3149 | + | 13.7649i | −0.151280 | + | 0.0664969i | ||||
\(208\) | 26.0978 | − | 45.2028i | 0.125470 | − | 0.217321i | ||||
\(209\) | − | 11.9804i | − | 0.0573223i | ||||||
\(210\) | 15.4497 | − | 44.0037i | 0.0735698 | − | 0.209542i | ||||
\(211\) | 56.4047 | 0.267321 | 0.133660 | − | 0.991027i | \(-0.457327\pi\) | ||||
0.133660 | + | 0.991027i | \(0.457327\pi\) | |||||||
\(212\) | 17.0089 | + | 9.82011i | 0.0802308 | + | 0.0463213i | ||||
\(213\) | −52.8970 | − | 104.427i | −0.248343 | − | 0.490268i | ||||
\(214\) | −1.52122 | − | 2.63482i | −0.00710849 | − | 0.0123123i | ||||
\(215\) | −127.374 | − | 73.5392i | −0.592436 | − | 0.342043i | ||||
\(216\) | 185.546 | + | 30.7412i | 0.859009 | + | 0.142320i | ||||
\(217\) | 271.756 | − | 260.511i | 1.25233 | − | 1.20051i | ||||
\(218\) | 37.1827i | 0.170563i | ||||||||
\(219\) | 100.084 | + | 65.3331i | 0.457006 | + | 0.298325i | ||||
\(220\) | 2.21340 | + | 3.83372i | 0.0100609 | + | 0.0174260i | ||||
\(221\) | 171.097 | − | 98.7828i | 0.774193 | − | 0.446981i | ||||
\(222\) | −25.4673 | + | 39.0134i | −0.114717 | + | 0.175736i | ||||
\(223\) | 423.029 | 1.89699 | 0.948495 | − | 0.316791i | \(-0.102606\pi\) | ||||
0.948495 | + | 0.316791i | \(0.102606\pi\) | |||||||
\(224\) | 159.681 | + | 166.574i | 0.712862 | + | 0.743635i | ||||
\(225\) | 44.7307 | + | 4.91581i | 0.198803 | + | 0.0218481i | ||||
\(226\) | −84.6939 | + | 146.694i | −0.374752 | + | 0.649089i | ||||
\(227\) | 171.925 | − | 99.2608i | 0.757378 | − | 0.437272i | −0.0709755 | − | 0.997478i | \(-0.522611\pi\) |
0.828354 | + | 0.560206i | \(0.189278\pi\) | |||||||
\(228\) | 147.082 | − | 74.5037i | 0.645098 | − | 0.326771i | ||||
\(229\) | −101.058 | + | 175.038i | −0.441302 | + | 0.764357i | −0.997786 | − | 0.0665008i | \(-0.978817\pi\) |
0.556485 | + | 0.830858i | \(0.312150\pi\) | |||||||
\(230\) | 8.44074i | 0.0366989i | ||||||||
\(231\) | 13.0166 | + | 4.57011i | 0.0563488 | + | 0.0197840i | ||||
\(232\) | −354.478 | −1.52792 | ||||||||
\(233\) | −277.136 | − | 160.005i | −1.18943 | − | 0.686715i | −0.231250 | − | 0.972894i | \(-0.574281\pi\) |
−0.958176 | + | 0.286179i | \(0.907615\pi\) | |||||||
\(234\) | −83.1586 | + | 36.5534i | −0.355379 | + | 0.156211i | ||||
\(235\) | −28.9449 | − | 50.1340i | −0.123170 | − | 0.213336i | ||||
\(236\) | −56.4350 | − | 32.5827i | −0.239131 | − | 0.138062i | ||||
\(237\) | −10.4782 | + | 191.264i | −0.0442119 | + | 0.807021i | ||||
\(238\) | 32.2158 | + | 131.262i | 0.135361 | + | 0.551520i | ||||
\(239\) | − | 347.556i | − | 1.45421i | −0.686528 | − | 0.727104i | \(-0.740866\pi\) | ||
0.686528 | − | 0.727104i | \(-0.259134\pi\) | |||||||
\(240\) | −18.8336 | + | 28.8513i | −0.0784733 | + | 0.120214i | ||||
\(241\) | −82.0871 | − | 142.179i | −0.340611 | − | 0.589955i | 0.643936 | − | 0.765080i | \(-0.277300\pi\) |
−0.984546 | + | 0.175125i | \(0.943967\pi\) | |||||||
\(242\) | −103.703 | + | 59.8730i | −0.428525 | + | 0.247409i | ||||
\(243\) | 169.779 | + | 173.851i | 0.698680 | + | 0.715434i | ||||
\(244\) | −103.345 | −0.423545 | ||||||||
\(245\) | 109.470 | + | 4.62779i | 0.446815 | + | 0.0188890i | ||||
\(246\) | −9.35440 | + | 170.750i | −0.0380260 | + | 0.694107i | ||||
\(247\) | −92.6653 | + | 160.501i | −0.375163 | + | 0.649802i | ||||
\(248\) | 324.423 | − | 187.306i | 1.30816 | − | 0.755265i | ||||
\(249\) | 102.620 | + | 202.589i | 0.412130 | + | 0.813611i | ||||
\(250\) | 5.55204 | − | 9.61641i | 0.0222081 | − | 0.0384656i | ||||
\(251\) | − | 46.7632i | − | 0.186307i | −0.995652 | − | 0.0931537i | \(-0.970305\pi\) | ||
0.995652 | − | 0.0931537i | \(-0.0296948\pi\) | |||||||
\(252\) | 24.8408 | + | 188.224i | 0.0985745 | + | 0.746923i | ||||
\(253\) | −2.49682 | −0.00986887 | ||||||||
\(254\) | 92.4311 | + | 53.3651i | 0.363902 | + | 0.210099i | ||||
\(255\) | −116.339 | + | 58.9307i | −0.456230 | + | 0.231101i | ||||
\(256\) | 83.8534 | + | 145.238i | 0.327552 | + | 0.567337i | ||||
\(257\) | 293.930 | + | 169.701i | 1.14370 | + | 0.660314i | 0.947344 | − | 0.320219i | \(-0.103757\pi\) |
0.196354 | + | 0.980533i | \(0.437090\pi\) | |||||||
\(258\) | −195.687 | − | 10.7205i | −0.758477 | − | 0.0415524i | ||||
\(259\) | −105.105 | − | 30.5565i | −0.405811 | − | 0.117979i | ||||
\(260\) | − | 68.4805i | − | 0.263386i | ||||||
\(261\) | −369.249 | − | 270.958i | −1.41475 | − | 1.03815i | ||||
\(262\) | −21.1130 | − | 36.5688i | −0.0805840 | − | 0.139576i | ||||
\(263\) | −86.0787 | + | 49.6976i | −0.327296 | + | 0.188964i | −0.654640 | − | 0.755941i | \(-0.727180\pi\) |
0.327344 | + | 0.944905i | \(0.393846\pi\) | |||||||
\(264\) | 11.4956 | + | 7.50409i | 0.0435438 | + | 0.0284246i | ||||
\(265\) | 14.5729 | 0.0549921 | ||||||||
\(266\) | −87.7384 | − | 91.5259i | −0.329844 | − | 0.344082i | ||||
\(267\) | 197.420 | + | 10.8155i | 0.739400 | + | 0.0405073i | ||||
\(268\) | −119.283 | + | 206.603i | −0.445084 | + | 0.770908i | ||||
\(269\) | −222.611 | + | 128.525i | −0.827550 | + | 0.477786i | −0.853013 | − | 0.521889i | \(-0.825227\pi\) |
0.0254629 | + | 0.999676i | \(0.491894\pi\) | |||||||
\(270\) | 56.1307 | − | 21.0900i | 0.207891 | − | 0.0781111i | ||||
\(271\) | −109.254 | + | 189.234i | −0.403152 | + | 0.698280i | −0.994104 | − | 0.108426i | \(-0.965419\pi\) |
0.590952 | + | 0.806707i | \(0.298752\pi\) | |||||||
\(272\) | − | 99.8509i | − | 0.367099i | ||||||
\(273\) | −139.034 | − | 161.906i | −0.509284 | − | 0.593062i | ||||
\(274\) | 129.855 | 0.473924 | ||||||||
\(275\) | 2.84459 | + | 1.64233i | 0.0103440 | + | 0.00597210i | ||||
\(276\) | −15.5273 | − | 30.6534i | −0.0562583 | − | 0.111063i | ||||
\(277\) | 192.880 | + | 334.078i | 0.696317 | + | 1.20606i | 0.969735 | + | 0.244161i | \(0.0785125\pi\) |
−0.273418 | + | 0.961895i | \(0.588154\pi\) | |||||||
\(278\) | 50.8908 | + | 29.3818i | 0.183061 | + | 0.105690i | ||||
\(279\) | 481.115 | + | 52.8735i | 1.72443 | + | 0.189511i | ||||
\(280\) | 104.697 | + | 30.4377i | 0.373916 | + | 0.108706i | ||||
\(281\) | 449.104i | 1.59823i | 0.601175 | + | 0.799117i | \(0.294699\pi\) | ||||
−0.601175 | + | 0.799117i | \(0.705301\pi\) | |||||||
\(282\) | −64.5932 | − | 42.1652i | −0.229054 | − | 0.149522i | ||||
\(283\) | −62.8475 | − | 108.855i | −0.222076 | − | 0.384647i | 0.733362 | − | 0.679838i | \(-0.237950\pi\) |
−0.955438 | + | 0.295191i | \(0.904617\pi\) | |||||||
\(284\) | 101.837 | − | 58.7954i | 0.358580 | − | 0.207026i | ||||
\(285\) | 66.8722 | − | 102.442i | 0.234639 | − | 0.359446i | ||||
\(286\) | −6.63046 | −0.0231834 | ||||||||
\(287\) | −390.176 | + | 95.7616i | −1.35950 | + | 0.333664i | ||||
\(288\) | −32.4091 | + | 294.902i | −0.112532 | + | 1.02396i | ||||
\(289\) | 44.4726 | − | 77.0288i | 0.153884 | − | 0.266536i | ||||
\(290\) | −97.8734 | + | 56.5072i | −0.337495 | + | 0.194853i | ||||
\(291\) | 304.577 | − | 154.282i | 1.04666 | − | 0.530178i | ||||
\(292\) | −60.0313 | + | 103.977i | −0.205587 | + | 0.356087i | ||||
\(293\) | − | 250.565i | − | 0.855171i | −0.903975 | − | 0.427585i | \(-0.859364\pi\) | ||
0.903975 | − | 0.427585i | \(-0.140636\pi\) | |||||||
\(294\) | 132.911 | − | 60.4131i | 0.452080 | − | 0.205487i | ||||
\(295\) | −48.3523 | −0.163906 | ||||||||
\(296\) | −94.3285 | − | 54.4606i | −0.318677 | − | 0.183988i | ||||
\(297\) | 6.23855 | + | 16.6038i | 0.0210052 | + | 0.0559051i | ||||
\(298\) | 92.5373 | + | 160.279i | 0.310528 | + | 0.537850i | ||||
\(299\) | 33.4500 | + | 19.3124i | 0.111873 | + | 0.0645898i | ||||
\(300\) | −2.47275 | + | 45.1363i | −0.00824249 | + | 0.150454i | ||||
\(301\) | −109.747 | − | 447.158i | −0.364607 | − | 1.48557i | ||||
\(302\) | 152.086i | 0.503595i | ||||||||
\(303\) | −236.075 | + | 361.644i | −0.779124 | + | 1.19355i | ||||
\(304\) | 46.8337 | + | 81.1183i | 0.154058 | + | 0.266836i | ||||
\(305\) | −66.4080 | + | 38.3407i | −0.217731 | + | 0.125707i | ||||
\(306\) | −102.807 | + | 140.100i | −0.335970 | + | 0.457844i | ||||
\(307\) | −66.2847 | −0.215911 | −0.107956 | − | 0.994156i | \(-0.534430\pi\) | ||||
−0.107956 | + | 0.994156i | \(0.534430\pi\) | |||||||
\(308\) | −3.86868 | + | 13.3071i | −0.0125607 | + | 0.0432049i | ||||
\(309\) | 23.5665 | − | 430.170i | 0.0762669 | − | 1.39214i | ||||
\(310\) | 59.7167 | − | 103.432i | 0.192634 | − | 0.333653i | ||||
\(311\) | 293.693 | − | 169.564i | 0.944350 | − | 0.545221i | 0.0530290 | − | 0.998593i | \(-0.483112\pi\) |
0.891321 | + | 0.453372i | \(0.149779\pi\) | |||||||
\(312\) | −95.9638 | − | 189.448i | −0.307576 | − | 0.607205i | ||||
\(313\) | 115.937 | − | 200.808i | 0.370404 | − | 0.641559i | −0.619223 | − | 0.785215i | \(-0.712552\pi\) |
0.989628 | + | 0.143656i | \(0.0458858\pi\) | |||||||
\(314\) | − | 219.735i | − | 0.699795i | ||||||
\(315\) | 85.7929 | + | 111.734i | 0.272359 | + | 0.354712i | ||||
\(316\) | −192.419 | −0.608921 | ||||||||
\(317\) | 286.243 | + | 165.262i | 0.902974 | + | 0.521332i | 0.878164 | − | 0.478360i | \(-0.158769\pi\) |
0.0248101 | + | 0.999692i | \(0.492102\pi\) | |||||||
\(318\) | 17.3226 | − | 8.77467i | 0.0544736 | − | 0.0275933i | ||||
\(319\) | −16.7152 | − | 28.9516i | −0.0523987 | − | 0.0907573i | ||||
\(320\) | 23.6149 | + | 13.6340i | 0.0737964 | + | 0.0426064i | ||||
\(321\) | 9.17623 | + | 0.502711i | 0.0285864 | + | 0.00156608i | ||||
\(322\) | −19.0749 | + | 18.2855i | −0.0592388 | + | 0.0567874i | ||||
\(323\) | 354.540i | 1.09765i | ||||||||
\(324\) | −165.048 | + | 179.846i | −0.509406 | + | 0.555082i | ||||
\(325\) | −25.4060 | − | 44.0045i | −0.0781724 | − | 0.135399i | ||||
\(326\) | 74.8376 | − | 43.2075i | 0.229563 | − | 0.132538i | ||||
\(327\) | −94.0495 | − | 61.3938i | −0.287613 | − | 0.187749i | ||||
\(328\) | −399.790 | −1.21887 | ||||||||
\(329\) | 50.5912 | − | 174.019i | 0.153773 | − | 0.528932i | ||||
\(330\) | 4.37021 | + | 0.239418i | 0.0132431 | + | 0.000725509i | ||||
\(331\) | 156.100 | − | 270.374i | 0.471602 | − | 0.816839i | −0.527870 | − | 0.849325i | \(-0.677009\pi\) |
0.999472 | + | 0.0324860i | \(0.0103424\pi\) | |||||||
\(332\) | −197.564 | + | 114.063i | −0.595071 | + | 0.343565i | ||||
\(333\) | −56.6302 | − | 128.833i | −0.170061 | − | 0.386886i | ||||
\(334\) | 147.254 | − | 255.052i | 0.440881 | − | 0.763629i | ||||
\(335\) | 177.014i | 0.528399i | ||||||||
\(336\) | −106.000 | + | 19.9405i | −0.315476 | + | 0.0593468i | ||||
\(337\) | 238.189 | 0.706791 | 0.353396 | − | 0.935474i | \(-0.385027\pi\) | ||||
0.353396 | + | 0.935474i | \(0.385027\pi\) | |||||||
\(338\) | −56.5316 | − | 32.6385i | −0.167253 | − | 0.0965637i | ||||
\(339\) | −231.205 | − | 456.436i | −0.682021 | − | 1.34642i | ||||
\(340\) | −65.5020 | − | 113.453i | −0.192653 | − | 0.333685i | ||||
\(341\) | 30.5959 | + | 17.6646i | 0.0897241 | + | 0.0518022i | ||||
\(342\) | 17.8075 | − | 162.037i | 0.0520687 | − | 0.473791i | ||||
\(343\) | 226.690 | + | 257.411i | 0.660905 | + | 0.750470i | ||||
\(344\) | − | 458.176i | − | 1.33191i | ||||||
\(345\) | −21.3499 | − | 13.9368i | −0.0618838 | − | 0.0403966i | ||||
\(346\) | −20.2001 | − | 34.9876i | −0.0583817 | − | 0.101120i | ||||
\(347\) | −425.845 | + | 245.862i | −1.22722 | + | 0.708535i | −0.966447 | − | 0.256866i | \(-0.917310\pi\) |
−0.260771 | + | 0.965401i | \(0.583977\pi\) | |||||||
\(348\) | 251.488 | − | 385.256i | 0.722667 | − | 1.10706i | ||||
\(349\) | −147.217 | −0.421825 | −0.210912 | − | 0.977505i | \(-0.567643\pi\) | ||||
−0.210912 | + | 0.977505i | \(0.567643\pi\) | |||||||
\(350\) | 33.7593 | − | 8.28562i | 0.0964552 | − | 0.0236732i | ||||
\(351\) | 44.8486 | − | 270.695i | 0.127774 | − | 0.771211i | ||||
\(352\) | −10.8276 | + | 18.7539i | −0.0307602 | + | 0.0532781i | ||||
\(353\) | 368.793 | − | 212.923i | 1.04474 | − | 0.603181i | 0.123568 | − | 0.992336i | \(-0.460566\pi\) |
0.921172 | + | 0.389155i | \(0.127233\pi\) | |||||||
\(354\) | −57.4758 | + | 29.1140i | −0.162361 | + | 0.0822430i | ||||
\(355\) | 43.6258 | − | 75.5621i | 0.122890 | − | 0.212851i | ||||
\(356\) | 198.612i | 0.557898i | ||||||||
\(357\) | −385.205 | − | 135.245i | −1.07900 | − | 0.378837i | ||||
\(358\) | −301.944 | −0.843420 | ||||||||
\(359\) | 578.750 | + | 334.142i | 1.61212 | + | 0.930756i | 0.988879 | + | 0.148725i | \(0.0475169\pi\) |
0.623239 | + | 0.782032i | \(0.285816\pi\) | |||||||
\(360\) | 56.4101 | + | 128.332i | 0.156695 | + | 0.356479i | ||||
\(361\) | 14.2083 | + | 24.6094i | 0.0393581 | + | 0.0681702i | ||||
\(362\) | −13.0520 | − | 7.53559i | −0.0360553 | − | 0.0208165i | ||||
\(363\) | 19.7860 | − | 361.164i | 0.0545069 | − | 0.994941i | ||||
\(364\) | 154.756 | − | 148.352i | 0.425154 | − | 0.407561i | ||||
\(365\) | 89.0857i | 0.244070i | ||||||||
\(366\) | −55.8525 | + | 85.5608i | −0.152602 | + | 0.233773i | ||||
\(367\) | −35.3374 | − | 61.2062i | −0.0962873 | − | 0.166774i | 0.813858 | − | 0.581064i | \(-0.197363\pi\) |
−0.910145 | + | 0.414290i | \(0.864030\pi\) | |||||||
\(368\) | 16.9058 | − | 9.76059i | 0.0459398 | − | 0.0265234i | ||||
\(369\) | −416.448 | − | 305.593i | −1.12859 | − | 0.828166i | ||||
\(370\) | −34.7261 | −0.0938545 | ||||||||
\(371\) | 31.5699 | + | 32.9327i | 0.0850941 | + | 0.0887674i | ||||
\(372\) | −26.5964 | + | 485.477i | −0.0714957 | + | 1.30505i | ||||
\(373\) | 127.640 | − | 221.080i | 0.342200 | − | 0.592707i | −0.642641 | − | 0.766167i | \(-0.722161\pi\) |
0.984841 | + | 0.173460i | \(0.0554948\pi\) | |||||||
\(374\) | −10.9848 | + | 6.34207i | −0.0293711 | + | 0.0169574i | ||||
\(375\) | 15.1564 | + | 29.9213i | 0.0404172 | + | 0.0797900i | ||||
\(376\) | 90.1685 | − | 156.176i | 0.239810 | − | 0.415363i | ||||
\(377\) | 517.152i | 1.37176i | ||||||||
\(378\) | 169.259 | + | 81.1593i | 0.447774 | + | 0.214707i | ||||
\(379\) | −224.572 | −0.592537 | −0.296269 | − | 0.955105i | \(-0.595742\pi\) | ||||
−0.296269 | + | 0.955105i | \(0.595742\pi\) | |||||||
\(380\) | 106.427 | + | 61.4456i | 0.280071 | + | 0.161699i | ||||
\(381\) | −287.598 | + | 145.681i | −0.754849 | + | 0.382365i | ||||
\(382\) | 45.4948 | + | 78.7993i | 0.119096 | + | 0.206281i | ||||
\(383\) | 298.557 | + | 172.372i | 0.779523 | + | 0.450058i | 0.836261 | − | 0.548331i | \(-0.184737\pi\) |
−0.0567384 | + | 0.998389i | \(0.518070\pi\) | |||||||
\(384\) | −358.697 | − | 19.6509i | −0.934107 | − | 0.0511742i | ||||
\(385\) | 2.45094 | + | 9.98622i | 0.00636607 | + | 0.0259382i | ||||
\(386\) | − | 74.1858i | − | 0.192191i | ||||||
\(387\) | 350.222 | − | 477.267i | 0.904968 | − | 1.23325i | ||||
\(388\) | 171.485 | + | 297.021i | 0.441973 | + | 0.765519i | ||||
\(389\) | 110.104 | − | 63.5688i | 0.283044 | − | 0.163416i | −0.351756 | − | 0.936092i | \(-0.614415\pi\) |
0.634801 | + | 0.772676i | \(0.281082\pi\) | |||||||
\(390\) | −56.6959 | − | 37.0100i | −0.145374 | − | 0.0948975i | ||||
\(391\) | 73.8895 | 0.188976 | ||||||||
\(392\) | 158.024 | + | 302.538i | 0.403122 | + | 0.771780i | ||||
\(393\) | 127.357 | + | 6.97714i | 0.324064 | + | 0.0177535i | ||||
\(394\) | 62.2432 | − | 107.808i | 0.157978 | − | 0.273626i | ||||
\(395\) | −123.645 | + | 71.3868i | −0.313027 | + | 0.180726i | ||||
\(396\) | −16.3113 | + | 7.16982i | −0.0411901 | + | 0.0181056i | ||||
\(397\) | −115.056 | + | 199.283i | −0.289813 | + | 0.501972i | −0.973765 | − | 0.227556i | \(-0.926927\pi\) |
0.683952 | + | 0.729527i | \(0.260260\pi\) | |||||||
\(398\) | − | 144.622i | − | 0.363372i | ||||||
\(399\) | 376.373 | − | 70.8026i | 0.943290 | − | 0.177450i | ||||
\(400\) | −25.6808 | −0.0642019 | ||||||||
\(401\) | −321.734 | − | 185.753i | −0.802329 | − | 0.463225i | 0.0419560 | − | 0.999119i | \(-0.486641\pi\) |
−0.844285 | + | 0.535895i | \(0.819974\pi\) | |||||||
\(402\) | 106.584 | + | 210.414i | 0.265134 | + | 0.523417i | ||||
\(403\) | −273.262 | − | 473.304i | −0.678071 | − | 1.17445i | ||||
\(404\) | −375.712 | − | 216.917i | −0.929979 | − | 0.536924i | ||||
\(405\) | −39.3347 | + | 176.799i | −0.0971227 | + | 0.436540i | ||||
\(406\) | −339.726 | − | 98.7661i | −0.836763 | − | 0.243266i | ||||
\(407\) | − | 10.2722i | − | 0.0252388i | ||||||
\(408\) | −340.193 | − | 222.072i | −0.833806 | − | 0.544293i | ||||
\(409\) | 376.668 | + | 652.409i | 0.920950 | + | 1.59513i | 0.797949 | + | 0.602725i | \(0.205918\pi\) |
0.123000 | + | 0.992407i | \(0.460748\pi\) | |||||||
\(410\) | −110.384 | + | 63.7303i | −0.269230 | + | 0.155440i | ||||
\(411\) | −214.409 | + | 328.454i | −0.521676 | + | 0.799158i | ||||
\(412\) | 432.768 | 1.05041 | ||||||||
\(413\) | −104.748 | − | 109.269i | −0.253626 | − | 0.264575i | ||||
\(414\) | −33.7700 | − | 3.71126i | −0.0815701 | − | 0.00896439i | ||||
\(415\) | −84.6343 | + | 146.591i | −0.203938 | + | 0.353231i | ||||
\(416\) | 290.114 | − | 167.497i | 0.697390 | − | 0.402638i | ||||
\(417\) | −158.346 | + | 80.2092i | −0.379726 | + | 0.192348i | ||||
\(418\) | 5.94932 | − | 10.3045i | 0.0142328 | − | 0.0246520i | ||||
\(419\) | 375.735i | 0.896743i | 0.893847 | + | 0.448371i | \(0.147996\pi\) | ||||
−0.893847 | + | 0.448371i | \(0.852004\pi\) | |||||||
\(420\) | −107.358 | + | 92.1925i | −0.255615 | + | 0.219506i | ||||
\(421\) | 598.959 | 1.42271 | 0.711353 | − | 0.702835i | \(-0.248083\pi\) | ||||
0.711353 | + | 0.702835i | \(0.248083\pi\) | |||||||
\(422\) | 48.5147 | + | 28.0100i | 0.114964 | + | 0.0663743i | ||||
\(423\) | 213.304 | − | 93.7606i | 0.504266 | − | 0.221656i | ||||
\(424\) | 22.6986 | + | 39.3151i | 0.0535344 | + | 0.0927244i | ||||
\(425\) | −84.1812 | − | 48.6020i | −0.198073 | − | 0.114358i | ||||
\(426\) | 6.35976 | − | 116.088i | 0.0149290 | − | 0.272506i | ||||
\(427\) | −230.507 | − | 67.0137i | −0.539829 | − | 0.156941i | ||||
\(428\) | 9.23164i | 0.0215692i | ||||||||
\(429\) | 10.9478 | − | 16.7710i | 0.0255193 | − | 0.0390932i | ||||
\(430\) | −73.0376 | − | 126.505i | −0.169855 | − | 0.294197i | ||||
\(431\) | −306.385 | + | 176.891i | −0.710869 | + | 0.410421i | −0.811383 | − | 0.584515i | \(-0.801285\pi\) |
0.100513 | + | 0.994936i | \(0.467951\pi\) | |||||||
\(432\) | −107.148 | − | 88.0355i | −0.248029 | − | 0.203786i | ||||
\(433\) | −97.7768 | −0.225812 | −0.112906 | − | 0.993606i | \(-0.536016\pi\) | ||||
−0.112906 | + | 0.993606i | \(0.536016\pi\) | |||||||
\(434\) | 363.109 | − | 89.1185i | 0.836657 | − | 0.205342i | ||||
\(435\) | 18.6737 | − | 340.861i | 0.0429282 | − | 0.783589i | ||||
\(436\) | 56.4117 | − | 97.7079i | 0.129385 | − | 0.224101i | ||||
\(437\) | −60.0274 | + | 34.6568i | −0.137362 | + | 0.0793062i | ||||
\(438\) | 53.6405 | + | 105.895i | 0.122467 | + | 0.241769i | ||||
\(439\) | −376.075 | + | 651.381i | −0.856663 | + | 1.48378i | 0.0184316 | + | 0.999830i | \(0.494133\pi\) |
−0.875094 | + | 0.483953i | \(0.839201\pi\) | |||||||
\(440\) | 10.2323i | 0.0232552i | ||||||||
\(441\) | −66.6470 | + | 435.935i | −0.151127 | + | 0.988514i | ||||
\(442\) | 196.218 | 0.443932 | ||||||||
\(443\) | −87.0998 | − | 50.2871i | −0.196613 | − | 0.113515i | 0.398461 | − | 0.917185i | \(-0.369544\pi\) |
−0.595075 | + | 0.803670i | \(0.702878\pi\) | |||||||
\(444\) | 126.111 | − | 63.8810i | 0.284035 | − | 0.143876i | ||||
\(445\) | 73.6843 | + | 127.625i | 0.165583 | + | 0.286798i | ||||
\(446\) | 363.855 | + | 210.072i | 0.815818 | + | 0.471013i | ||||
\(447\) | −558.200 | − | 30.5805i | −1.24877 | − | 0.0684127i | ||||
\(448\) | 20.3468 | + | 82.9022i | 0.0454171 | + | 0.185050i | ||||
\(449\) | − | 689.765i | − | 1.53623i | −0.640314 | − | 0.768113i | \(-0.721196\pi\) | ||
0.640314 | − | 0.768113i | \(-0.278804\pi\) | |||||||
\(450\) | 36.0325 | + | 26.4410i | 0.0800723 | + | 0.0587577i | ||||
\(451\) | −18.8518 | − | 32.6523i | −0.0418001 | − | 0.0723998i | ||||
\(452\) | 445.113 | − | 256.986i | 0.984764 | − | 0.568554i | ||||
\(453\) | −384.684 | − | 251.114i | −0.849191 | − | 0.554336i | ||||
\(454\) | 197.167 | 0.434290 | ||||||||
\(455\) | 44.4059 | − | 152.743i | 0.0975953 | − | 0.335699i | ||||
\(456\) | 380.530 | + | 20.8470i | 0.834496 | + | 0.0457171i | ||||
\(457\) | −115.297 | + | 199.700i | −0.252291 | + | 0.436981i | −0.964156 | − | 0.265335i | \(-0.914517\pi\) |
0.711865 | + | 0.702316i | \(0.247851\pi\) | |||||||
\(458\) | −173.844 | + | 100.369i | −0.379572 | + | 0.219146i | ||||
\(459\) | −184.620 | − | 491.363i | −0.402222 | − | 1.07051i | ||||
\(460\) | 12.8059 | − | 22.1804i | 0.0278388 | − | 0.0482182i | ||||
\(461\) | − | 151.784i | − | 0.329250i | −0.986356 | − | 0.164625i | \(-0.947359\pi\) | ||
0.986356 | − | 0.164625i | \(-0.0526414\pi\) | |||||||
\(462\) | 8.92632 | + | 10.3947i | 0.0193210 | + | 0.0224994i | ||||
\(463\) | −195.792 | −0.422878 | −0.211439 | − | 0.977391i | \(-0.567815\pi\) | ||||
−0.211439 | + | 0.977391i | \(0.567815\pi\) | |||||||
\(464\) | 226.355 | + | 130.686i | 0.487834 | + | 0.281651i | ||||
\(465\) | 163.020 | + | 321.827i | 0.350580 | + | 0.692102i | ||||
\(466\) | −158.913 | − | 275.246i | −0.341015 | − | 0.590656i | ||||
\(467\) | −96.6708 | − | 55.8129i | −0.207004 | − | 0.119514i | 0.392914 | − | 0.919575i | \(-0.371467\pi\) |
−0.599918 | + | 0.800061i | \(0.704800\pi\) | |||||||
\(468\) | 273.979 | + | 30.1097i | 0.585425 | + | 0.0643371i | ||||
\(469\) | −400.026 | + | 383.472i | −0.852933 | + | 0.817638i | ||||
\(470\) | − | 57.4949i | − | 0.122329i | ||||||
\(471\) | 555.796 | + | 362.814i | 1.18003 | + | 0.770305i | ||||
\(472\) | −75.3131 | − | 130.446i | −0.159562 | − | 0.276369i | ||||
\(473\) | 37.4209 | − | 21.6050i | 0.0791140 | − | 0.0456765i | ||||
\(474\) | −103.992 | + | 159.306i | −0.219393 | + | 0.336089i | ||||
\(475\) | 91.1844 | 0.191967 | ||||||||
\(476\) | 114.488 | − | 393.803i | 0.240520 | − | 0.827317i | ||||
\(477\) | −6.40747 | + | 58.3038i | −0.0134328 | + | 0.122230i | ||||
\(478\) | 172.592 | − | 298.939i | 0.361072 | − | 0.625395i | ||||
\(479\) | −757.982 | + | 437.621i | −1.58243 | + | 0.913615i | −0.587923 | + | 0.808917i | \(0.700054\pi\) |
−0.994504 | + | 0.104697i | \(0.966613\pi\) | |||||||
\(480\) | −197.266 | + | 99.9238i | −0.410970 | + | 0.208175i | ||||
\(481\) | −79.4531 | + | 137.617i | −0.165183 | + | 0.286106i | ||||
\(482\) | − | 163.054i | − | 0.338287i | ||||||
\(483\) | −14.7560 | − | 78.4397i | −0.0305506 | − | 0.162401i | ||||
\(484\) | 363.345 | 0.750712 | ||||||||
\(485\) | 220.388 | + | 127.241i | 0.454408 | + | 0.262353i | ||||
\(486\) | 59.6978 | + | 233.842i | 0.122835 | + | 0.481157i | ||||
\(487\) | 241.066 | + | 417.538i | 0.495002 | + | 0.857368i | 0.999983 | − | 0.00576174i | \(-0.00183403\pi\) |
−0.504982 | + | 0.863130i | \(0.668501\pi\) | |||||||
\(488\) | −206.873 | − | 119.438i | −0.423920 | − | 0.244750i | ||||
\(489\) | −14.2786 | + | 260.635i | −0.0291996 | + | 0.532995i | ||||
\(490\) | 91.8586 | + | 58.3418i | 0.187467 | + | 0.119065i | ||||
\(491\) | 508.013i | 1.03465i | 0.855789 | + | 0.517325i | \(0.173072\pi\) | ||||
−0.855789 | + | 0.517325i | \(0.826928\pi\) | |||||||
\(492\) | 283.635 | − | 434.502i | 0.576493 | − | 0.883134i | ||||
\(493\) | 494.659 | + | 856.775i | 1.00337 | + | 1.73788i | ||||
\(494\) | −159.406 | + | 92.0332i | −0.322684 | + | 0.186302i | ||||
\(495\) | −7.82140 | + | 10.6586i | −0.0158008 | + | 0.0215326i | ||||
\(496\) | −276.217 | −0.556890 | ||||||||
\(497\) | 265.268 | − | 65.1052i | 0.533739 | − | 0.130996i | ||||
\(498\) | −12.3380 | + | 225.211i | −0.0247750 | + | 0.452230i | ||||
\(499\) | 198.591 | − | 343.969i | 0.397977 | − | 0.689317i | −0.595499 | − | 0.803356i | \(-0.703046\pi\) |
0.993476 | + | 0.114039i | \(0.0363789\pi\) | |||||||
\(500\) | −29.1790 | + | 16.8465i | −0.0583580 | + | 0.0336930i | ||||
\(501\) | 401.988 | + | 793.589i | 0.802372 | + | 1.58401i | ||||
\(502\) | 23.2221 | − | 40.2218i | 0.0462591 | − | 0.0801232i | ||||
\(503\) | 258.341i | 0.513601i | 0.966464 | + | 0.256801i | \(0.0826684\pi\) | ||||
−0.966464 | + | 0.256801i | \(0.917332\pi\) | |||||||
\(504\) | −167.810 | + | 405.491i | −0.332955 | + | 0.804545i | ||||
\(505\) | −321.902 | −0.637430 | ||||||||
\(506\) | −2.14756 | − | 1.23990i | −0.00424420 | − | 0.00245039i | ||||
\(507\) | 175.897 | − | 89.0996i | 0.346937 | − | 0.175739i | ||||
\(508\) | −161.926 | − | 280.463i | −0.318751 | − | 0.552093i | ||||
\(509\) | 155.758 | + | 89.9271i | 0.306009 | + | 0.176674i | 0.645139 | − | 0.764065i | \(-0.276799\pi\) |
−0.339130 | + | 0.940739i | \(0.610133\pi\) | |||||||
\(510\) | −129.329 | − | 7.08519i | −0.253587 | − | 0.0138925i | ||||
\(511\) | −201.321 | + | 192.990i | −0.393975 | + | 0.377671i | ||||
\(512\) | − | 312.417i | − | 0.610190i | ||||||
\(513\) | 380.451 | + | 312.587i | 0.741620 | + | 0.609331i | ||||
\(514\) | 168.543 | + | 291.925i | 0.327905 | + | 0.567948i | ||||
\(515\) | 278.090 | − | 160.555i | 0.539981 | − | 0.311758i | ||||
\(516\) | 497.957 | + | 325.057i | 0.965033 | + | 0.629956i | ||||
\(517\) | 17.0073 | 0.0328962 | ||||||||
\(518\) | −75.2287 | − | 78.4762i | −0.145229 | − | 0.151498i | ||||
\(519\) | 121.850 | + | 6.67545i | 0.234779 | + | 0.0128621i | ||||
\(520\) | 79.1443 | − | 137.082i | 0.152201 | − | 0.263619i | ||||
\(521\) | 203.914 | − | 117.730i | 0.391389 | − | 0.225969i | −0.291373 | − | 0.956610i | \(-0.594112\pi\) |
0.682762 | + | 0.730641i | \(0.260779\pi\) | |||||||
\(522\) | −183.043 | − | 416.421i | −0.350657 | − | 0.797741i | ||||
\(523\) | 135.925 | − | 235.428i | 0.259894 | − | 0.450150i | −0.706319 | − | 0.707894i | \(-0.749646\pi\) |
0.966213 | + | 0.257743i | \(0.0829790\pi\) | |||||||
\(524\) | 128.126i | 0.244516i | ||||||||
\(525\) | −34.7838 | + | 99.0711i | −0.0662548 | + | 0.188707i | ||||
\(526\) | −98.7171 | −0.187675 | ||||||||
\(527\) | −905.437 | − | 522.754i | −1.71810 | − | 0.991944i | ||||
\(528\) | −4.57404 | − | 9.02989i | −0.00866295 | − | 0.0171021i | ||||
\(529\) | −257.277 | − | 445.617i | −0.486346 | − | 0.842376i | ||||
\(530\) | 12.5344 | + | 7.23675i | 0.0236498 | + | 0.0136542i | ||||
\(531\) | 21.2597 | − | 193.450i | 0.0400372 | − | 0.364312i | ||||
\(532\) | 91.6986 | + | 373.622i | 0.172366 | + | 0.702296i | ||||
\(533\) | 583.258i | 1.09429i | ||||||||
\(534\) | 164.433 | + | 107.339i | 0.307928 | + | 0.201009i | ||||
\(535\) | 3.42491 | + | 5.93211i | 0.00640169 | + | 0.0110881i | ||||
\(536\) | −477.552 | + | 275.715i | −0.890955 | + | 0.514393i | ||||
\(537\) | 498.551 | − | 763.734i | 0.928401 | − | 1.42222i | ||||
\(538\) | −255.296 | −0.474527 | ||||||||
\(539\) | −17.2579 | + | 27.1723i | −0.0320183 | + | 0.0504125i | ||||
\(540\) | −179.496 | − | 29.7387i | −0.332399 | − | 0.0550717i | ||||
\(541\) | 316.920 | − | 548.921i | 0.585804 | − | 1.01464i | −0.408971 | − | 0.912547i | \(-0.634112\pi\) |
0.994775 | − | 0.102094i | \(-0.0325543\pi\) | |||||||
\(542\) | −187.943 | + | 108.509i | −0.346759 | + | 0.200201i | ||||
\(543\) | 40.6111 | − | 20.5713i | 0.0747902 | − | 0.0378846i | ||||
\(544\) | 320.425 | − | 554.992i | 0.589016 | − | 1.02021i | ||||
\(545\) | − | 83.7141i | − | 0.153604i | ||||||
\(546\) | −39.1853 | − | 208.301i | −0.0717679 | − | 0.381504i | ||||
\(547\) | −551.602 | −1.00841 | −0.504207 | − | 0.863583i | \(-0.668215\pi\) | ||||
−0.504207 | + | 0.863583i | \(0.668215\pi\) | |||||||
\(548\) | −341.230 | − | 197.009i | −0.622683 | − | 0.359506i | ||||
\(549\) | −124.196 | − | 282.545i | −0.226223 | − | 0.514654i | ||||
\(550\) | 1.63112 | + | 2.82519i | 0.00296568 | + | 0.00513671i | ||||
\(551\) | −803.716 | − | 464.026i | −1.45865 | − | 0.842152i | ||||
\(552\) | 4.34471 | − | 79.3062i | 0.00787086 | − | 0.143671i | ||||
\(553\) | −429.182 | − | 124.773i | −0.776098 | − | 0.225630i | ||||
\(554\) | 383.128i | 0.691567i | ||||||||
\(555\) | 57.3376 | − | 87.8359i | 0.103311 | − | 0.158263i | ||||
\(556\) | −89.1532 | − | 154.418i | −0.160347 | − | 0.277730i | ||||
\(557\) | 542.908 | − | 313.448i | 0.974700 | − | 0.562743i | 0.0740343 | − | 0.997256i | \(-0.476413\pi\) |
0.900666 | + | 0.434512i | \(0.143079\pi\) | |||||||
\(558\) | 387.559 | + | 284.394i | 0.694550 | + | 0.509667i | ||||
\(559\) | −668.438 | −1.19577 | ||||||||
\(560\) | −55.6333 | − | 58.0349i | −0.0993452 | − | 0.103634i | ||||
\(561\) | 2.09584 | − | 38.2564i | 0.00373591 | − | 0.0681933i | ||||
\(562\) | −223.020 | + | 386.282i | −0.396833 | + | 0.687335i | ||||
\(563\) | 599.035 | − | 345.853i | 1.06401 | − | 0.614304i | 0.137468 | − | 0.990506i | \(-0.456104\pi\) |
0.926537 | + | 0.376203i | \(0.122770\pi\) | |||||||
\(564\) | 105.766 | + | 208.798i | 0.187528 | + | 0.370210i | ||||
\(565\) | 190.682 | − | 330.271i | 0.337490 | − | 0.584551i | ||||
\(566\) | − | 124.838i | − | 0.220561i | ||||||
\(567\) | −484.753 | + | 294.116i | −0.854943 | + | 0.518722i | ||||
\(568\) | 271.804 | 0.478529 | ||||||||
\(569\) | −763.556 | − | 440.839i | −1.34193 | − | 0.774761i | −0.354836 | − | 0.934929i | \(-0.615463\pi\) |
−0.987090 | + | 0.160167i | \(0.948797\pi\) | |||||||
\(570\) | 108.390 | − | 54.9041i | 0.190157 | − | 0.0963231i | ||||
\(571\) | −421.729 | − | 730.456i | −0.738580 | − | 1.27926i | −0.953135 | − | 0.302546i | \(-0.902163\pi\) |
0.214555 | − | 0.976712i | \(-0.431170\pi\) | |||||||
\(572\) | 17.4234 | + | 10.0594i | 0.0304604 | + | 0.0175863i | ||||
\(573\) | −274.432 | − | 15.0345i | −0.478939 | − | 0.0262382i | ||||
\(574\) | −383.151 | − | 111.391i | −0.667511 | − | 0.194061i | ||||
\(575\) | − | 19.0037i | − | 0.0330499i | ||||||
\(576\) | −64.9306 | + | 88.4845i | −0.112727 | + | 0.153619i | ||||
\(577\) | −131.558 | − | 227.864i | −0.228003 | − | 0.394912i | 0.729213 | − | 0.684286i | \(-0.239886\pi\) |
−0.957216 | + | 0.289374i | \(0.906553\pi\) | |||||||
\(578\) | 76.5034 | − | 44.1692i | 0.132359 | − | 0.0764174i | ||||
\(579\) | 187.645 | + | 122.491i | 0.324084 | + | 0.211556i | ||||
\(580\) | 342.919 | 0.591240 | ||||||||
\(581\) | −514.621 | + | 126.304i | −0.885751 | + | 0.217392i | ||||
\(582\) | 338.587 | + | 18.5491i | 0.581764 | + | 0.0318714i | ||||
\(583\) | −2.14067 | + | 3.70776i | −0.00367183 | + | 0.00635979i | ||||
\(584\) | −240.338 | + | 138.759i | −0.411537 | + | 0.237601i | ||||
\(585\) | 187.225 | − | 82.2972i | 0.320044 | − | 0.140679i | ||||
\(586\) | 124.428 | − | 215.515i | 0.212334 | − | 0.367774i | ||||
\(587\) | − | 496.760i | − | 0.846270i | −0.906067 | − | 0.423135i | \(-0.860930\pi\) | ||
0.906067 | − | 0.423135i | \(-0.139070\pi\) | |||||||
\(588\) | −440.917 | − | 42.8942i | −0.749859 | − | 0.0729493i | ||||
\(589\) | 980.762 | 1.66513 | ||||||||
\(590\) | −41.5887 | − | 24.0113i | −0.0704893 | − | 0.0406970i | ||||
\(591\) | 169.917 | + | 335.444i | 0.287508 | + | 0.567587i | ||||
\(592\) | 40.1561 | + | 69.5525i | 0.0678313 | + | 0.117487i | ||||
\(593\) | 510.563 | + | 294.774i | 0.860983 | + | 0.497089i | 0.864341 | − | 0.502906i | \(-0.167736\pi\) |
−0.00335849 | + | 0.999994i | \(0.501069\pi\) | |||||||
\(594\) | −2.87938 | + | 17.3792i | −0.00484744 | + | 0.0292579i | ||||
\(595\) | −72.5315 | − | 295.526i | −0.121902 | − | 0.496683i | ||||
\(596\) | − | 561.571i | − | 0.942233i | ||||||
\(597\) | 365.805 | + | 238.791i | 0.612739 | + | 0.399985i | ||||
\(598\) | 19.1806 | + | 33.2218i | 0.0320746 | + | 0.0555548i | ||||
\(599\) | 261.851 | − | 151.180i | 0.437147 | − | 0.252387i | −0.265240 | − | 0.964182i | \(-0.585451\pi\) |
0.702387 | + | 0.711796i | \(0.252118\pi\) | |||||||
\(600\) | −57.1148 | + | 87.4945i | −0.0951913 | + | 0.145824i | ||||
\(601\) | −546.705 | −0.909659 | −0.454829 | − | 0.890579i | \(-0.650300\pi\) | ||||
−0.454829 | + | 0.890579i | \(0.650300\pi\) | |||||||
\(602\) | 127.659 | − | 439.107i | 0.212057 | − | 0.729414i | ||||
\(603\) | −708.202 | − | 77.8300i | −1.17446 | − | 0.129071i | ||||
\(604\) | 230.736 | − | 399.647i | 0.382014 | − | 0.661667i | ||||
\(605\) | 233.480 | − | 134.800i | 0.385917 | − | 0.222809i | ||||
\(606\) | −382.641 | + | 193.824i | −0.631420 | + | 0.319842i | ||||
\(607\) | −11.7287 | + | 20.3147i | −0.0193224 | + | 0.0334674i | −0.875525 | − | 0.483173i | \(-0.839484\pi\) |
0.856203 | + | 0.516640i | \(0.172818\pi\) | |||||||
\(608\) | 601.163i | 0.988754i | ||||||||
\(609\) | 810.751 | − | 696.222i | 1.33128 | − | 1.14322i | ||||
\(610\) | −76.1583 | −0.124850 | ||||||||
\(611\) | −227.847 | − | 131.548i | −0.372909 | − | 0.215299i | ||||
\(612\) | 482.706 | − | 212.179i | 0.788735 | − | 0.346698i | ||||
\(613\) | 76.9855 | + | 133.343i | 0.125588 | + | 0.217525i | 0.921963 | − | 0.387279i | \(-0.126585\pi\) |
−0.796375 | + | 0.604804i | \(0.793252\pi\) | |||||||
\(614\) | −57.0126 | − | 32.9163i | −0.0928545 | − | 0.0536095i | ||||
\(615\) | 21.0607 | − | 384.432i | 0.0342451 | − | 0.625092i | ||||
\(616\) | −23.1235 | + | 22.1666i | −0.0375382 | + | 0.0359848i | ||||
\(617\) | − | 180.065i | − | 0.291839i | −0.989296 | − | 0.145920i | \(-0.953386\pi\) | ||
0.989296 | − | 0.145920i | \(-0.0466141\pi\) | |||||||
\(618\) | 233.888 | − | 358.294i | 0.378459 | − | 0.579764i | ||||
\(619\) | 262.098 | + | 453.967i | 0.423421 | + | 0.733387i | 0.996272 | − | 0.0862727i | \(-0.0274956\pi\) |
−0.572850 | + | 0.819660i | \(0.694162\pi\) | |||||||
\(620\) | −313.844 | + | 181.198i | −0.506200 | + | 0.292255i | ||||
\(621\) | 65.1462 | − | 79.2897i | 0.104905 | − | 0.127681i | ||||
\(622\) | 336.814 | 0.541502 | ||||||||
\(623\) | −128.789 | + | 442.995i | −0.206724 | + | 0.711068i | ||||
\(624\) | −8.56563 | + | 156.353i | −0.0137270 | + | 0.250565i | ||||
\(625\) | −12.5000 | + | 21.6506i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | 199.438 | − | 115.146i | 0.318591 | − | 0.183939i | ||||
\(627\) | 16.2410 | + | 32.0623i | 0.0259027 | + | 0.0511361i | ||||
\(628\) | −333.371 | + | 577.416i | −0.530846 | + | 0.919452i | ||||
\(629\) | 303.990i | 0.483290i | ||||||||
\(630\) | 18.3060 | + | 138.709i | 0.0290571 | + | 0.220172i | ||||
\(631\) | 52.9592 | 0.0839290 | 0.0419645 | − | 0.999119i | \(-0.486638\pi\) | ||||
0.0419645 | + | 0.999119i | \(0.486638\pi\) | |||||||
\(632\) | −385.178 | − | 222.383i | −0.609459 | − | 0.351871i | ||||
\(633\) | −150.952 | + | 76.4641i | −0.238471 | + | 0.120796i | ||||
\(634\) | 164.135 | + | 284.290i | 0.258888 | + | 0.448407i | ||||
\(635\) | −208.102 | − | 120.148i | −0.327719 | − | 0.189209i | ||||
\(636\) | −58.8324 | − | 3.22308i | −0.0925038 | − | 0.00506773i | ||||
\(637\) | 441.376 | − | 230.542i | 0.692897 | − | 0.361919i | ||||
\(638\) | − | 33.2023i | − | 0.0520413i | ||||||
\(639\) | 283.130 | + | 207.763i | 0.443083 | + | 0.325138i | ||||
\(640\) | −133.879 | − | 231.885i | −0.209186 | − | 0.362321i | ||||
\(641\) | 821.724 | − | 474.423i | 1.28194 | − | 0.740129i | 0.304738 | − | 0.952436i | \(-0.401431\pi\) |
0.977203 | + | 0.212307i | \(0.0680976\pi\) | |||||||
\(642\) | 7.64299 | + | 4.98921i | 0.0119050 | + | 0.00777135i | ||||
\(643\) | −181.011 | −0.281510 | −0.140755 | − | 0.990044i | \(-0.544953\pi\) | ||||
−0.140755 | + | 0.990044i | \(0.544953\pi\) | |||||||
\(644\) | 77.8664 | − | 19.1109i | 0.120911 | − | 0.0296753i | ||||
\(645\) | 440.575 | + | 24.1365i | 0.683062 | + | 0.0374209i | ||||
\(646\) | −176.061 | + | 304.946i | −0.272540 | + | 0.472052i | ||||
\(647\) | 148.566 | − | 85.7748i | 0.229623 | − | 0.132573i | −0.380775 | − | 0.924668i | \(-0.624343\pi\) |
0.610398 | + | 0.792095i | \(0.291009\pi\) | |||||||
\(648\) | −538.239 | + | 169.262i | −0.830616 | + | 0.261206i | ||||
\(649\) | 7.10268 | − | 12.3022i | 0.0109440 | − | 0.0189556i | ||||
\(650\) | − | 50.4654i | − | 0.0776391i | ||||||
\(651\) | −374.128 | + | 1065.59i | −0.574697 | + | 1.63685i | ||||
\(652\) | −262.208 | −0.402160 | ||||||||
\(653\) | −314.093 | − | 181.342i | −0.481000 | − | 0.277705i | 0.239833 | − | 0.970814i | \(-0.422907\pi\) |
−0.720833 | + | 0.693109i | \(0.756241\pi\) | |||||||
\(654\) | −50.4062 | − | 99.5098i | −0.0770736 | − | 0.152156i | ||||
\(655\) | 47.5344 | + | 82.3319i | 0.0725715 | + | 0.125698i | ||||
\(656\) | 255.289 | + | 147.391i | 0.389160 | + | 0.224682i | ||||
\(657\) | −356.417 | − | 39.1695i | −0.542492 | − | 0.0596187i | ||||
\(658\) | 129.930 | − | 124.554i | 0.197462 | − | 0.189291i | ||||
\(659\) | 949.931i | 1.44147i | 0.693209 | + | 0.720737i | \(0.256196\pi\) | ||||
−0.693209 | + | 0.720737i | \(0.743804\pi\) | |||||||
\(660\) | −11.1207 | − | 7.25939i | −0.0168496 | − | 0.0109991i | ||||
\(661\) | −188.128 | − | 325.847i | −0.284611 | − | 0.492961i | 0.687904 | − | 0.725802i | \(-0.258531\pi\) |
−0.972515 | + | 0.232841i | \(0.925198\pi\) | |||||||
\(662\) | 268.529 | − | 155.036i | 0.405634 | − | 0.234193i | ||||
\(663\) | −323.983 | + | 496.311i | −0.488662 | + | 0.748584i | ||||
\(664\) | −527.302 | −0.794129 | ||||||||
\(665\) | 197.537 | + | 206.064i | 0.297047 | + | 0.309870i | ||||
\(666\) | 15.2685 | − | 138.934i | 0.0229257 | − | 0.208609i | ||||
\(667\) | −96.7075 | + | 167.502i | −0.144989 | + | 0.251128i | ||||
\(668\) | −773.903 | + | 446.813i | −1.15854 | + | 0.668882i | ||||
\(669\) | −1132.13 | + | 573.472i | −1.69227 | + | 0.857208i | ||||
\(670\) | −87.9031 | + | 152.253i | −0.131199 | + | 0.227243i | ||||
\(671\) | − | 22.5281i | − | 0.0335739i | ||||||
\(672\) | −653.159 | − | 229.323i | −0.971962 | − | 0.341255i | ||||
\(673\) | 1136.46 | 1.68864 | 0.844320 | − | 0.535839i | \(-0.180005\pi\) | ||||
0.844320 | + | 0.535839i | \(0.180005\pi\) | |||||||
\(674\) | 204.870 | + | 118.282i | 0.303962 | + | 0.175492i | ||||
\(675\) | −126.374 | + | 47.4826i | −0.187221 | + | 0.0703445i | ||||
\(676\) | 99.0349 | + | 171.534i | 0.146501 | + | 0.253748i | ||||
\(677\) | 720.753 | + | 416.127i | 1.06463 | + | 0.614663i | 0.926709 | − | 0.375780i | \(-0.122625\pi\) |
0.137919 | + | 0.990444i | \(0.455959\pi\) | |||||||
\(678\) | 27.7976 | − | 507.403i | 0.0409994 | − | 0.748381i | ||||
\(679\) | 189.889 | + | 773.693i | 0.279660 | + | 1.13946i | ||||
\(680\) | − | 302.808i | − | 0.445306i | ||||||
\(681\) | −325.551 | + | 498.713i | −0.478048 | + | 0.732324i | ||||
\(682\) | 17.5441 | + | 30.3872i | 0.0257244 | + | 0.0445560i | ||||
\(683\) | 487.430 | − | 281.418i | 0.713660 | − | 0.412032i | −0.0987549 | − | 0.995112i | \(-0.531486\pi\) |
0.812415 | + | 0.583080i | \(0.198153\pi\) | |||||||
\(684\) | −292.628 | + | 398.780i | −0.427818 | + | 0.583011i | ||||
\(685\) | −292.359 | −0.426802 | ||||||||
\(686\) | 67.1528 | + | 333.976i | 0.0978904 | + | 0.486845i | ||||
\(687\) | 33.1685 | − | 605.441i | 0.0482802 | − | 0.881282i | ||||
\(688\) | −168.916 | + | 292.572i | −0.245518 | + | 0.425250i | ||||
\(689\) | 57.3573 | − | 33.1152i | 0.0832471 | − | 0.0480628i | ||||
\(690\) | −11.4426 | − | 22.5895i | −0.0165834 | − | 0.0327383i | ||||
\(691\) | 226.749 | − | 392.741i | 0.328146 | − | 0.568366i | −0.653998 | − | 0.756496i | \(-0.726910\pi\) |
0.982144 | + | 0.188131i | \(0.0602429\pi\) | |||||||
\(692\) | 122.586i | 0.177147i | ||||||||
\(693\) | −41.0309 | + | 5.41502i | −0.0592076 | + | 0.00781387i | ||||
\(694\) | −488.369 | −0.703701 | ||||||||
\(695\) | −114.577 | − | 66.1510i | −0.164859 | − | 0.0951814i | ||||
\(696\) | 948.669 | − | 480.543i | 1.36303 | − | 0.690436i | ||||
\(697\) | 557.890 | + | 966.293i | 0.800415 | + | 1.38636i | ||||
\(698\) | −126.624 | − | 73.1063i | −0.181409 | − | 0.104737i | ||||
\(699\) | 958.590 | + | 52.5155i | 1.37137 | + | 0.0751294i | ||||
\(700\) | −101.282 | − | 29.4451i | −0.144689 | − | 0.0420645i | ||||
\(701\) | 795.319i | 1.13455i | 0.823528 | + | 0.567275i | \(0.192002\pi\) | ||||
−0.823528 | + | 0.567275i | \(0.807998\pi\) | |||||||
\(702\) | 172.999 | − | 210.558i | 0.246438 | − | 0.299940i | ||||
\(703\) | −142.582 | − | 246.959i | −0.202819 | − | 0.351293i | ||||
\(704\) | −6.93777 | + | 4.00552i | −0.00985479 | + | 0.00568966i | ||||
\(705\) | 145.427 | + | 94.9319i | 0.206279 | + | 0.134655i | ||||
\(706\) | 422.941 | 0.599067 | ||||||||
\(707\) | −697.350 | − | 727.453i | −0.986351 | − | 1.02893i | ||||
\(708\) | 195.204 | + | 10.6941i | 0.275711 | + | 0.0151046i | ||||
\(709\) | −259.254 | + | 449.041i | −0.365661 | + | 0.633344i | −0.988882 | − | 0.148702i | \(-0.952490\pi\) |
0.623221 | + | 0.782046i | \(0.285824\pi\) | |||||||
\(710\) | 75.0467 | − | 43.3282i | 0.105700 | − | 0.0610256i | ||||
\(711\) | −231.242 | − | 526.073i | −0.325235 | − | 0.739905i | ||||
\(712\) | −229.540 | + | 397.575i | −0.322387 | + | 0.558391i | ||||
\(713\) | − | 204.400i | − | 0.286677i | ||||||
\(714\) | −264.160 | − | 307.615i | −0.369972 | − | 0.430833i | ||||
\(715\) | 14.9280 | 0.0208783 | ||||||||
\(716\) | 793.442 | + | 458.094i | 1.10816 | + | 0.639796i | ||||
\(717\) | 471.158 | + | 930.142i | 0.657124 | + | 1.29727i | ||||
\(718\) | 331.862 | + | 574.802i | 0.462204 | + | 0.800560i | ||||
\(719\) | 701.360 | + | 404.931i | 0.975466 | + | 0.563186i | 0.900898 | − | 0.434030i | \(-0.142909\pi\) |
0.0745679 | + | 0.997216i | \(0.476242\pi\) | |||||||
\(720\) | 11.2914 | − | 102.744i | 0.0156825 | − | 0.142701i | ||||
\(721\) | 965.271 | + | 280.626i | 1.33879 | + | 0.389218i | ||||
\(722\) | 28.2227i | 0.0390896i | ||||||||
\(723\) | 412.428 | + | 269.225i | 0.570439 | + | 0.372372i | ||||
\(724\) | 22.8652 | + | 39.6037i | 0.0315818 | + | 0.0547012i | ||||
\(725\) | 220.355 | − | 127.222i | 0.303938 | − | 0.175478i | ||||
\(726\) | 196.368 | − | 300.818i | 0.270480 | − | 0.414350i | ||||
\(727\) | 772.417 | 1.06247 | 0.531236 | − | 0.847224i | \(-0.321728\pi\) | ||||
0.531236 | + | 0.847224i | \(0.321728\pi\) | |||||||
\(728\) | 481.240 | − | 118.112i | 0.661043 | − | 0.162241i | ||||
\(729\) | −690.048 | − | 235.107i | −0.946567 | − | 0.322506i | ||||
\(730\) | −44.2390 | + | 76.6242i | −0.0606014 | + | 0.104965i | ||||
\(731\) | −1107.41 | + | 639.365i | −1.51493 | + | 0.874644i | ||||
\(732\) | 276.576 | − | 140.098i | 0.377836 | − | 0.191391i | ||||
\(733\) | 181.568 | − | 314.485i | 0.247705 | − | 0.429038i | −0.715183 | − | 0.698937i | \(-0.753657\pi\) |
0.962889 | + | 0.269898i | \(0.0869901\pi\) | |||||||
\(734\) | − | 70.1927i | − | 0.0956304i | ||||||
\(735\) | −299.240 | + | 136.016i | −0.407130 | + | 0.185055i | ||||
\(736\) | 125.288 | 0.170228 | ||||||||
\(737\) | −45.0372 | − | 26.0023i | −0.0611089 | − | 0.0352812i | ||||
\(738\) | −206.440 | − | 469.650i | −0.279730 | − | 0.636382i | ||||
\(739\) | −324.308 | − | 561.717i | −0.438847 | − | 0.760104i | 0.558754 | − | 0.829333i | \(-0.311279\pi\) |
−0.997601 | + | 0.0692288i | \(0.977946\pi\) | |||||||
\(740\) | 91.2526 | + | 52.6847i | 0.123314 | + | 0.0711955i | ||||
\(741\) | 30.4139 | − | 555.159i | 0.0410444 | − | 0.749203i | ||||
\(742\) | 10.7998 | + | 44.0033i | 0.0145550 | + | 0.0593036i | ||||
\(743\) | − | 549.717i | − | 0.739862i | −0.929059 | − | 0.369931i | \(-0.879381\pi\) | ||
0.929059 | − | 0.369931i | \(-0.120619\pi\) | |||||||
\(744\) | −614.316 | + | 941.074i | −0.825693 | + | 1.26488i | ||||
\(745\) | −208.341 | − | 360.857i | −0.279652 | − | 0.484372i | ||||
\(746\) | 219.572 | − | 126.770i | 0.294332 | − | 0.169933i | ||||
\(747\) | −549.273 | − | 403.061i | −0.735306 | − | 0.539573i | ||||
\(748\) | 38.4874 | 0.0514538 | ||||||||
\(749\) | −5.98621 | + | 20.5908i | −0.00799227 | + | 0.0274910i | ||||
\(750\) | −1.82225 | + | 33.2623i | −0.00242966 | + | 0.0443498i | ||||
\(751\) | 175.429 | − | 303.852i | 0.233594 | − | 0.404597i | −0.725269 | − | 0.688465i | \(-0.758285\pi\) |
0.958863 | + | 0.283869i | \(0.0916180\pi\) | |||||||
\(752\) | −115.156 | + | 66.4851i | −0.153132 | + | 0.0884111i | ||||
\(753\) | 63.3937 | + | 125.149i | 0.0841882 | + | 0.166201i | ||||
\(754\) | −256.812 | + | 444.812i | −0.340600 | + | 0.589936i | ||||
\(755\) | − | 342.410i | − | 0.453523i | ||||||
\(756\) | −321.643 | − | 470.059i | −0.425454 | − | 0.621771i | ||||
\(757\) | −482.553 | −0.637455 | −0.318727 | − | 0.947846i | \(-0.603255\pi\) | ||||
−0.318727 | + | 0.947846i | \(0.603255\pi\) | |||||||
\(758\) | −193.158 | − | 111.520i | −0.254826 | − | 0.147124i | ||||
\(759\) | 6.68210 | − | 3.38478i | 0.00880382 | − | 0.00445953i | ||||
\(760\) | 142.028 | + | 245.999i | 0.186879 | + | 0.323683i | ||||
\(761\) | −679.478 | − | 392.297i | −0.892875 | − | 0.515502i | −0.0179931 | − | 0.999838i | \(-0.505728\pi\) |
−0.874882 | + | 0.484337i | \(0.839061\pi\) | |||||||
\(762\) | −319.711 | − | 17.5151i | −0.419569 | − | 0.0229857i | ||||
\(763\) | 189.182 | − | 181.353i | 0.247945 | − | 0.237685i | ||||
\(764\) | − | 276.089i | − | 0.361373i | ||||||
\(765\) | 231.462 | − | 315.426i | 0.302564 | − | 0.412321i | ||||
\(766\) | 171.196 | + | 296.521i | 0.223494 | + | 0.387103i | ||||
\(767\) | −190.309 | + | 109.875i | −0.248122 | + | 0.143253i | ||||
\(768\) | −421.302 | − | 275.018i | −0.548570 | − | 0.358096i | ||||
\(769\) | 186.662 | 0.242734 | 0.121367 | − | 0.992608i | \(-0.461272\pi\) | ||||
0.121367 | + | 0.992608i | \(0.461272\pi\) | |||||||
\(770\) | −2.85096 | + | 9.80643i | −0.00370254 | + | 0.0127356i | ||||
\(771\) | −1016.68 | − | 55.6978i | −1.31865 | − | 0.0722410i | ||||
\(772\) | −112.551 | + | 194.944i | −0.145791 | + | 0.252518i | ||||
\(773\) | −96.7554 | + | 55.8618i | −0.125169 | + | 0.0722662i | −0.561277 | − | 0.827628i | \(-0.689690\pi\) |
0.436108 | + | 0.899894i | \(0.356356\pi\) | |||||||
\(774\) | 538.238 | − | 236.589i | 0.695398 | − | 0.305671i | ||||
\(775\) | −134.448 | + | 232.870i | −0.173481 | + | 0.300478i | ||||
\(776\) | 792.757i | 1.02159i | ||||||||
\(777\) | 322.710 | − | 60.7076i | 0.415328 | − | 0.0781308i | ||||
\(778\) | 126.270 | 0.162301 | ||||||||
\(779\) | −906.452 | − | 523.340i | −1.16361 | − | 0.671810i | ||||
\(780\) | 92.8345 | + | 183.270i | 0.119019 | + | 0.234962i | ||||
\(781\) | 12.8168 | + | 22.1993i | 0.0164107 | + | 0.0284242i | ||||
\(782\) | 63.5537 | + | 36.6927i | 0.0812707 | + | 0.0469217i | ||||
\(783\) | 1355.52 | + | 224.582i | 1.73119 | + | 0.286822i | ||||
\(784\) | 10.6298 | − | 251.447i | 0.0135585 | − | 0.320723i | ||||
\(785\) | 494.718i | 0.630214i | ||||||||
\(786\) | 106.077 | + | 69.2453i | 0.134958 | + | 0.0880984i | ||||
\(787\) | −589.482 | − | 1021.01i | −0.749025 | − | 1.29735i | −0.948291 | − | 0.317403i | \(-0.897189\pi\) |
0.199266 | − | 0.979945i | \(-0.436144\pi\) | |||||||
\(788\) | −327.123 | + | 188.864i | −0.415130 | + | 0.239676i | ||||
\(789\) | 162.996 | − | 249.694i | 0.206585 | − | 0.316469i | ||||
\(790\) | −141.800 | −0.179493 | ||||||||
\(791\) | 1159.45 | − | 284.566i | 1.46580 | − | 0.359754i | ||||
\(792\) | −40.9377 | − | 4.49897i | −0.0516890 | − | 0.00568051i | ||||
\(793\) | −174.249 | + | 301.809i | −0.219735 | + | 0.380591i | ||||
\(794\) | −197.923 | + | 114.271i | −0.249274 | + | 0.143918i | ||||
\(795\) | −39.0006 | + | 19.7555i | −0.0490573 | + | 0.0248497i | ||||
\(796\) | −219.413 | + | 380.034i | −0.275644 | + | 0.477430i | ||||
\(797\) | 1253.33i | 1.57255i | 0.617874 | + | 0.786277i | \(0.287994\pi\) | ||||
−0.617874 | + | 0.786277i | \(0.712006\pi\) | |||||||
\(798\) | 358.885 | + | 126.004i | 0.449730 | + | 0.157900i | ||||
\(799\) | −503.305 | −0.629918 | ||||||||
\(800\) | −142.739 | − | 82.4103i | −0.178424 | − | 0.103013i | ||||
\(801\) | −543.004 | + | 238.684i | −0.677908 | + | 0.297983i | ||||
\(802\) | −184.486 | − | 319.539i | −0.230032 | − | 0.398428i | ||||
\(803\) | −22.6659 | − | 13.0862i | −0.0282265 | − | 0.0162966i | ||||
\(804\) | 39.1500 | − | 714.623i | 0.0486940 | − | 0.888835i | ||||
\(805\) | 42.9457 | − | 41.1685i | 0.0533487 | − | 0.0511411i | ||||
\(806\) | − | 542.797i | − | 0.673445i | ||||||
\(807\) | 421.528 | − | 645.741i | 0.522340 | − | 0.800175i | ||||
\(808\) | −501.391 | − | 868.436i | −0.620534 | − | 1.07480i | ||||
\(809\) | 275.887 | − | 159.283i | 0.341022 | − | 0.196889i | −0.319702 | − | 0.947518i | \(-0.603583\pi\) |
0.660724 | + | 0.750629i | \(0.270249\pi\) | |||||||
\(810\) | −121.629 | + | 132.535i | −0.150159 | + | 0.163623i | ||||
\(811\) | 548.318 | 0.676101 | 0.338051 | − | 0.941128i | \(-0.390232\pi\) | ||||
0.338051 | + | 0.941128i | \(0.390232\pi\) | |||||||
\(812\) | 742.881 | + | 774.949i | 0.914878 | + | 0.954371i | ||||
\(813\) | 35.8586 | − | 654.544i | 0.0441065 | − | 0.805098i | ||||
\(814\) | 5.10107 | − | 8.83531i | 0.00626667 | − | 0.0108542i | ||||
\(815\) | −168.491 | + | 97.2785i | −0.206738 | + | 0.119360i | ||||
\(816\) | 135.361 | + | 267.225i | 0.165884 | + | 0.327482i | ||||
\(817\) | 599.770 | − | 1038.83i | 0.734112 | − | 1.27152i | ||||
\(818\) | 748.198i | 0.914667i | ||||||||
\(819\) | 591.575 | + | 244.819i | 0.722313 | + | 0.298924i | ||||
\(820\) | 386.753 | 0.471650 | ||||||||
\(821\) | 131.128 | + | 75.7066i | 0.159717 | + | 0.0922127i | 0.577728 | − | 0.816229i | \(-0.303939\pi\) |
−0.418011 | + | 0.908442i | \(0.637273\pi\) | |||||||
\(822\) | −347.523 | + | 176.036i | −0.422778 | + | 0.214156i | ||||
\(823\) | −425.238 | − | 736.535i | −0.516693 | − | 0.894939i | −0.999812 | − | 0.0193841i | \(-0.993829\pi\) |
0.483119 | − | 0.875555i | \(-0.339504\pi\) | |||||||
\(824\) | 866.301 | + | 500.159i | 1.05134 | + | 0.606989i | ||||
\(825\) | −9.83921 | − | 0.539032i | −0.0119263 | − | 0.000653372i | ||||
\(826\) | −35.8333 | − | 146.001i | −0.0433818 | − | 0.176757i | ||||
\(827\) | 25.2976i | 0.0305896i | 0.999883 | + | 0.0152948i | \(0.00486868\pi\) | ||||
−0.999883 | + | 0.0152948i | \(0.995131\pi\) | |||||||
\(828\) | 83.1096 | + | 60.9865i | 0.100374 | + | 0.0736551i | ||||
\(829\) | −252.510 | − | 437.360i | −0.304596 | − | 0.527575i | 0.672576 | − | 0.740028i | \(-0.265188\pi\) |
−0.977171 | + | 0.212453i | \(0.931855\pi\) | |||||||
\(830\) | −145.591 | + | 84.0569i | −0.175411 | + | 0.101273i | ||||
\(831\) | −969.079 | − | 632.597i | −1.16616 | − | 0.761248i | ||||
\(832\) | 123.927 | 0.148951 | ||||||||
\(833\) | 510.719 | − | 804.122i | 0.613108 | − | 0.965333i | ||||
\(834\) | −176.027 | − | 9.64348i | −0.211064 | − | 0.0115629i | ||||
\(835\) | −331.532 | + | 574.231i | −0.397045 | + | 0.687702i | ||||
\(836\) | −31.2670 | + | 18.0520i | −0.0374007 | + | 0.0215933i | ||||
\(837\) | −1359.26 | + | 510.713i | −1.62396 | + | 0.610171i | ||||
\(838\) | −186.586 | + | 323.177i | −0.222656 | + | 0.385652i | ||||
\(839\) | 156.946i | 0.187063i | 0.995616 | + | 0.0935315i | \(0.0298156\pi\) | ||||
−0.995616 | + | 0.0935315i | \(0.970184\pi\) | |||||||
\(840\) | −321.455 | + | 60.4717i | −0.382685 | + | 0.0719901i | ||||
\(841\) | −1748.67 | −2.07927 | ||||||||
\(842\) | 515.175 | + | 297.437i | 0.611847 | + | 0.353250i | ||||
\(843\) | −608.820 | − | 1201.91i | −0.722207 | − | 1.42575i | ||||
\(844\) | −84.9905 | − | 147.208i | −0.100700 | − | 0.174417i | ||||
\(845\) | 127.277 | + | 73.4833i | 0.150623 | + | 0.0869624i | ||||
\(846\) | 230.027 | + | 25.2795i | 0.271900 | + | 0.0298813i | ||||
\(847\) | 810.425 | + | 235.609i | 0.956818 | + | 0.278169i | ||||
\(848\) | − | 33.4733i | − | 0.0394733i | ||||||
\(849\) | 315.763 | + | 206.124i | 0.371923 | + | 0.242785i | ||||
\(850\) | −48.2705 | − | 83.6069i | −0.0567888 | − | 0.0983611i | ||||
\(851\) | −51.4687 | + | 29.7155i | −0.0604803 | + | 0.0349183i | ||||
\(852\) | −192.834 | + | 295.404i | −0.226331 | + | 0.346718i | ||||
\(853\) | −140.528 | −0.164745 | −0.0823725 | − | 0.996602i | \(-0.526250\pi\) | ||||
−0.0823725 | + | 0.996602i | \(0.526250\pi\) | |||||||
\(854\) | −164.985 | − | 172.107i | −0.193191 | − | 0.201530i | ||||
\(855\) | −40.0923 | + | 364.814i | −0.0468915 | + | 0.426682i | ||||
\(856\) | −10.6692 | + | 18.4796i | −0.0124640 | + | 0.0215883i | ||||
\(857\) | −300.334 | + | 173.398i | −0.350448 | + | 0.202331i | −0.664883 | − | 0.746948i | \(-0.731518\pi\) |
0.314434 | + | 0.949279i | \(0.398185\pi\) | |||||||
\(858\) | 17.7447 | − | 8.98848i | 0.0206815 | − | 0.0104761i | ||||
\(859\) | 289.212 | − | 500.930i | 0.336685 | − | 0.583155i | −0.647122 | − | 0.762386i | \(-0.724028\pi\) |
0.983807 | + | 0.179231i | \(0.0573610\pi\) | |||||||
\(860\) | 443.235i | 0.515390i | ||||||||
\(861\) | 914.386 | − | 785.217i | 1.06201 | − | 0.911982i | ||||
\(862\) | −351.369 | −0.407621 | ||||||||
\(863\) | 899.475 | + | 519.312i | 1.04227 | + | 0.601752i | 0.920474 | − | 0.390803i | \(-0.127803\pi\) |
0.121791 | + | 0.992556i | \(0.461136\pi\) | |||||||
\(864\) | −313.044 | − | 833.162i | −0.362320 | − | 0.964308i | ||||
\(865\) | 45.4790 | + | 78.7719i | 0.0525769 | + | 0.0910658i | ||||
\(866\) | −84.0996 | − | 48.5549i | −0.0971126 | − | 0.0560680i | ||||
\(867\) | −14.5965 | + | 266.436i | −0.0168356 | + | 0.307308i | ||||
\(868\) | −1089.38 | − | 316.706i | −1.25504 | − | 0.364869i | ||||
\(869\) | − | 41.9452i | − | 0.0482683i | ||||||
\(870\) | 185.330 | − | 283.907i | 0.213022 | − | 0.326330i | ||||
\(871\) | 402.243 | + | 696.705i | 0.461817 | + | 0.799891i | ||||
\(872\) | 225.846 | − | 130.392i | 0.258998 | − | 0.149532i | ||||
\(873\) | −605.971 | + | 825.790i | −0.694125 | + | 0.945922i | ||||
\(874\) | −68.8408 | −0.0787652 | ||||||||
\(875\) | −76.0067 | + | 18.6545i | −0.0868647 | + | 0.0213194i | ||||
\(876\) | 19.7030 | − | 359.649i | 0.0224920 | − | 0.410558i | ||||
\(877\) | −511.874 | + | 886.591i | −0.583664 | + | 1.01094i | 0.411376 | + | 0.911466i | \(0.365048\pi\) |
−0.995040 | + | 0.0994708i | \(0.968285\pi\) | |||||||
\(878\) | −646.937 | + | 373.509i | −0.736831 | + | 0.425409i | ||||
\(879\) | 339.674 | + | 670.572i | 0.386433 | + | 0.762880i | ||||
\(880\) | 3.77235 | − | 6.53391i | 0.00428676 | − | 0.00742489i | ||||
\(881\) | − | 403.041i | − | 0.457481i | −0.973487 | − | 0.228741i | \(-0.926539\pi\) | ||
0.973487 | − | 0.228741i | \(-0.0734608\pi\) | |||||||
\(882\) | −273.805 | + | 341.859i | −0.310436 | + | 0.387595i | ||||
\(883\) | 583.632 | 0.660965 | 0.330483 | − | 0.943812i | \(-0.392788\pi\) | ||||
0.330483 | + | 0.943812i | \(0.392788\pi\) | |||||||
\(884\) | −515.617 | − | 297.691i | −0.583277 | − | 0.336755i | ||||
\(885\) | 129.402 | − | 65.5481i | 0.146217 | − | 0.0740656i | ||||
\(886\) | −49.9440 | − | 86.5056i | −0.0563703 | − | 0.0976361i | ||||
\(887\) | 334.665 | + | 193.219i | 0.377299 | + | 0.217834i | 0.676643 | − | 0.736312i | \(-0.263434\pi\) |
−0.299343 | + | 0.954145i | \(0.596768\pi\) | |||||||
\(888\) | 326.274 | + | 17.8746i | 0.367426 | + | 0.0201291i | ||||
\(889\) | −179.303 | − | 730.562i | −0.201691 | − | 0.821779i | ||||
\(890\) | 146.363i | 0.164453i | ||||||||
\(891\) | −39.2045 | − | 35.9786i | −0.0440006 | − | 0.0403800i | ||||
\(892\) | −637.419 | − | 1104.04i | −0.714595 | − | 1.23772i | ||||
\(893\) | 408.882 | − | 236.068i | 0.457874 | − | 0.264354i | ||||
\(894\) | −464.932 | − | 303.499i | −0.520058 | − | 0.339484i | ||||
\(895\) | 679.805 | 0.759559 | ||||||||
\(896\) | 234.000 | − | 804.890i | 0.261161 | − | 0.898315i | ||||
\(897\) | −115.701 | − | 6.33855i | −0.128986 | − | 0.00706639i | ||||
\(898\) | 342.530 | − | 593.280i | 0.381437 | − | 0.660668i | ||||
\(899\) | 2370.09 | − | 1368.37i | 2.63637 | − | 1.52211i | ||||
\(900\) | −54.5706 | − | 124.148i | −0.0606340 | − | 0.137942i | ||||
\(901\) | 63.3498 | − | 109.725i | 0.0703106 | − | 0.121782i | ||||
\(902\) | − | 37.4465i | − | 0.0415149i | ||||||
\(903\) | 899.891 | + | 1047.92i | 0.996557 | + | 1.16049i | ||||
\(904\) | 1188.02 | 1.31418 | ||||||||
\(905\) | 29.3857 | + | 16.9658i | 0.0324703 | + | 0.0187468i | ||||
\(906\) | −206.172 | − | 407.018i | −0.227563 | − | 0.449247i | ||||
\(907\) | −528.617 | − | 915.591i | −0.582819 | − | 1.00947i | −0.995144 | − | 0.0984347i | \(-0.968616\pi\) |
0.412325 | − | 0.911037i | \(-0.364717\pi\) | |||||||
\(908\) | −518.112 | − | 299.132i | −0.570608 | − | 0.329441i | ||||
\(909\) | 141.535 | − | 1287.88i | 0.155704 | − | 1.41681i | ||||
\(910\) | 114.045 | − | 109.325i | 0.125324 | − | 0.120138i | ||||
\(911\) | 272.096i | 0.298679i | 0.988786 | + | 0.149339i | \(0.0477147\pi\) | ||||
−0.988786 | + | 0.149339i | \(0.952285\pi\) | |||||||
\(912\) | −235.305 | − | 153.603i | −0.258010 | − | 0.168424i | ||||
\(913\) | −24.8646 | − | 43.0667i | −0.0272339 | − | 0.0471705i | ||||
\(914\) | −198.338 | + | 114.510i | −0.217000 | + | 0.125285i | ||||
\(915\) | 125.748 | − | 192.634i | 0.137429 | − | 0.210529i | ||||
\(916\) | 609.097 | 0.664953 | ||||||||
\(917\) | −83.0828 | + | 285.780i | −0.0906029 | + | 0.311647i | ||||
\(918\) | 85.2107 | − | 514.310i | 0.0928221 | − | 0.560251i | ||||
\(919\) | 244.072 | − | 422.745i | 0.265584 | − | 0.460005i | −0.702132 | − | 0.712046i | \(-0.747769\pi\) |
0.967716 | + | 0.252041i | \(0.0811019\pi\) | |||||||
\(920\) | 51.2687 | − | 29.6000i | 0.0557268 | − | 0.0321739i | ||||
\(921\) | 177.394 | − | 89.8578i | 0.192610 | − | 0.0975655i | ||||
\(922\) | 75.3745 | − | 130.552i | 0.0817510 | − | 0.141597i | ||||
\(923\) | − | 396.538i | − | 0.429619i | ||||||
\(924\) | −7.68606 | − | 40.8575i | −0.00831824 | − | 0.0442181i | ||||
\(925\) | 78.1834 | 0.0845225 | ||||||||
\(926\) | −168.404 | − | 97.2284i | −0.181862 | − | 0.104998i | ||||
\(927\) | 520.084 | + | 1183.19i | 0.561040 | + | 1.27636i | ||||
\(928\) | 838.752 | + | 1452.76i | 0.903827 | + | 1.56547i | ||||
\(929\) | −1227.57 | − | 708.738i | −1.32139 | − | 0.762904i | −0.337438 | − | 0.941348i | \(-0.609560\pi\) |
−0.983950 | + | 0.178444i | \(0.942894\pi\) | |||||||
\(930\) | −19.5997 | + | 357.763i | −0.0210750 | + | 0.384692i | ||||
\(931\) | −37.7433 | + | 892.809i | −0.0405406 | + | 0.958979i | ||||
\(932\) | 964.379i | 1.03474i | ||||||||
\(933\) | −556.126 | + | 851.933i | −0.596062 | + | 0.913112i | ||||
\(934\) | −55.4322 | − | 96.0113i | −0.0593492 | − | 0.102796i | ||||
\(935\) | 24.7315 | − | 14.2787i | 0.0264508 | − | 0.0152713i | ||||
\(936\) | 513.644 | + | 376.916i | 0.548765 | + | 0.402688i | ||||
\(937\) | 457.586 | 0.488352 | 0.244176 | − | 0.969731i | \(-0.421483\pi\) | ||||
0.244176 | + | 0.969731i | \(0.421483\pi\) | |||||||
\(938\) | −534.497 | + | 131.183i | −0.569827 | + | 0.139854i | ||||
\(939\) | −38.0518 | + | 694.578i | −0.0405238 | + | 0.739700i | ||||
\(940\) | −87.2282 | + | 151.084i | −0.0927959 | + | 0.160727i | ||||
\(941\) | 293.654 | − | 169.541i | 0.312066 | − | 0.180171i | −0.335785 | − | 0.941939i | \(-0.609001\pi\) |
0.647851 | + | 0.761767i | \(0.275668\pi\) | |||||||
\(942\) | 297.881 | + | 588.065i | 0.316222 | + | 0.624273i | ||||
\(943\) | −109.069 | + | 188.913i | −0.115662 | + | 0.200332i | ||||
\(944\) | 111.063i | 0.117652i | ||||||||
\(945\) | −381.073 | − | 182.724i | −0.403252 | − | 0.193359i | ||||
\(946\) | 42.9152 | 0.0453649 | ||||||||
\(947\) | −91.1895 | − | 52.6483i | −0.0962931 | − | 0.0555948i | 0.451080 | − | 0.892483i | \(-0.351039\pi\) |
−0.547373 | + | 0.836889i | \(0.684372\pi\) | |||||||
\(948\) | 514.959 | − | 260.850i | 0.543206 | − | 0.275158i | ||||
\(949\) | 202.437 | + | 350.631i | 0.213316 | + | 0.369474i | ||||
\(950\) | 78.4293 | + | 45.2812i | 0.0825571 | + | 0.0476644i | ||||
\(951\) | −990.089 | − | 54.2411i | −1.04110 | − | 0.0570359i | ||||
\(952\) | 684.304 | − | 655.986i | 0.718806 | − | 0.689061i | ||||
\(953\) | − | 1343.13i | − | 1.40937i | −0.709520 | − | 0.704686i | \(-0.751088\pi\) | ||
0.709520 | − | 0.704686i | \(-0.248912\pi\) | |||||||
\(954\) | −34.4642 | + | 46.9662i | −0.0361260 | + | 0.0492309i | ||||
\(955\) | −102.428 | − | 177.411i | −0.107255 | − | 0.185770i | ||||
\(956\) | −907.068 | + | 523.696i | −0.948816 | + | 0.547799i | ||||
\(957\) | 83.9816 | + | 54.8216i | 0.0877550 | + | 0.0572849i | ||||
\(958\) | −869.272 | −0.907382 | ||||||||
\(959\) | −633.350 | − | 660.691i | −0.660428 | − | 0.688937i | ||||
\(960\) | −81.6818 | − | 4.47486i | −0.0850852 | − | 0.00466131i | ||||
\(961\) | −965.593 | + | 1672.46i | −1.00478 | + | 1.74033i | ||||
\(962\) | −136.678 | + | 78.9111i | −0.142077 | + | 0.0820282i | ||||
\(963\) | −25.2393 | + | 11.0942i | −0.0262090 | + | 0.0115205i | ||||
\(964\) | −247.378 | + | 428.470i | −0.256616 | + | 0.444471i | ||||
\(965\) | 167.024i | 0.173082i | ||||||||
\(966\) | 26.2605 | − | 74.7951i | 0.0271847 | − | 0.0774276i | ||||
\(967\) | −877.145 | −0.907078 | −0.453539 | − | 0.891236i | \(-0.649839\pi\) | ||||
−0.453539 | + | 0.891236i | \(0.649839\pi\) | |||||||
\(968\) | 727.331 | + | 419.925i | 0.751375 | + | 0.433807i | ||||
\(969\) | −480.626 | − | 948.833i | −0.496002 | − | 0.979188i | ||||
\(970\) | 126.373 | + | 218.884i | 0.130281 | + | 0.225654i | ||||
\(971\) | 1118.51 | + | 645.773i | 1.15192 | + | 0.665059i | 0.949354 | − | 0.314210i | \(-0.101740\pi\) |
0.202563 | + | 0.979269i | \(0.435073\pi\) | |||||||
\(972\) | 197.901 | − | 705.056i | 0.203602 | − | 0.725367i | ||||
\(973\) | −98.7209 | − | 402.234i | −0.101460 | − | 0.413395i | ||||
\(974\) | 478.843i | 0.491625i | ||||||||
\(975\) | 127.647 | + | 83.3254i | 0.130920 | + | 0.0854619i | ||||
\(976\) | 88.0669 | + | 152.536i | 0.0902324 | + | 0.156287i | ||||
\(977\) | −1105.78 | + | 638.421i | −1.13181 | + | 0.653450i | −0.944389 | − | 0.328830i | \(-0.893346\pi\) |
−0.187420 | + | 0.982280i | \(0.560012\pi\) | |||||||
\(978\) | −141.710 | + | 217.086i | −0.144897 | + | 0.221969i | ||||
\(979\) | −43.2952 | −0.0442239 | ||||||||
\(980\) | −152.871 | − | 292.672i | −0.155990 | − | 0.298645i | ||||
\(981\) | 334.926 | + | 36.8077i | 0.341413 | + | 0.0375206i | ||||
\(982\) | −252.274 | + | 436.951i | −0.256898 | + | 0.444960i | ||||
\(983\) | −828.383 | + | 478.267i | −0.842709 | + | 0.486538i | −0.858184 | − | 0.513342i | \(-0.828407\pi\) |
0.0154753 | + | 0.999880i | \(0.495074\pi\) | |||||||
\(984\) | 1069.93 | − | 541.969i | 1.08733 | − | 0.550781i | ||||
\(985\) | −140.136 | + | 242.723i | −0.142270 | + | 0.246419i | ||||
\(986\) | 982.570i | 0.996521i | ||||||||
\(987\) | 100.511 | + | 534.299i | 0.101835 | + | 0.541336i | ||||
\(988\) | 558.512 | 0.565295 | ||||||||
\(989\) | −216.503 | − | 124.998i | −0.218911 | − | 0.126388i | ||||
\(990\) | −12.0203 | + | 5.28367i | −0.0121417 | + | 0.00533704i | ||||
\(991\) | 397.978 | + | 689.319i | 0.401593 | + | 0.695579i | 0.993918 | − | 0.110120i | \(-0.0351234\pi\) |
−0.592326 | + | 0.805699i | \(0.701790\pi\) | |||||||
\(992\) | −1535.27 | − | 886.390i | −1.54765 | − | 0.893538i | ||||
\(993\) | −51.2341 | + | 935.200i | −0.0515952 | + | 0.941793i | ||||
\(994\) | 260.492 | + | 75.7311i | 0.262065 | + | 0.0761882i | ||||
\(995\) | 325.606i | 0.327242i | ||||||||
\(996\) | 374.099 | − | 573.085i | 0.375602 | − | 0.575387i | ||||
\(997\) | −218.443 | − | 378.354i | −0.219100 | − | 0.379492i | 0.735433 | − | 0.677597i | \(-0.236979\pi\) |
−0.954533 | + | 0.298105i | \(0.903645\pi\) | |||||||
\(998\) | 341.623 | − | 197.236i | 0.342307 | − | 0.197631i | ||||
\(999\) | 326.206 | + | 268.018i | 0.326533 | + | 0.268287i |
(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 | 105.3.t.b.86.11 | yes | 36 | |
3.2 | odd | 2 | inner | 105.3.t.b.86.8 | yes | 36 | |
7.4 | even | 3 | inner | 105.3.t.b.11.8 | ✓ | 36 | |
21.11 | odd | 6 | inner | 105.3.t.b.11.11 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.t.b.11.8 | ✓ | 36 | 7.4 | even | 3 | inner | |
105.3.t.b.11.11 | yes | 36 | 21.11 | odd | 6 | inner | |
105.3.t.b.86.8 | yes | 36 | 3.2 | odd | 2 | inner | |
105.3.t.b.86.11 | yes | 36 | 1.1 | even | 1 | trivial |