Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [215,2,Mod(31,215)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(215, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 34]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("215.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 215 = 5 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 215.q (of order \(21\), degree \(12\), 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: | \(1.71678364346\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 111.6 | ||
Character | \(\chi\) | \(=\) | 215.111 |
Dual form | 215.2.q.b.31.6 |
$q$-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 \(\left(\mathbb{Z}/215\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(87\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.574959 | + | 0.276886i | 0.406557 | + | 0.195788i | 0.625975 | − | 0.779843i | \(-0.284701\pi\) |
−0.219417 | + | 0.975631i | \(0.570416\pi\) | |||||||
\(3\) | −1.61221 | − | 1.09919i | −0.930812 | − | 0.634617i | 4.55900e−5 | − | 1.00000i | \(-0.499985\pi\) |
−0.930857 | + | 0.365383i | \(0.880938\pi\) | |||||||
\(4\) | −0.993068 | − | 1.24527i | −0.496534 | − | 0.622634i | ||||
\(5\) | −0.733052 | + | 0.680173i | −0.327831 | + | 0.304182i | ||||
\(6\) | −0.622606 | − | 1.07839i | −0.254178 | − | 0.440249i | ||||
\(7\) | −2.11364 | + | 3.66093i | −0.798880 | + | 1.38370i | 0.121466 | + | 0.992596i | \(0.461240\pi\) |
−0.920346 | + | 0.391105i | \(0.872093\pi\) | |||||||
\(8\) | −0.510182 | − | 2.23526i | −0.180377 | − | 0.790282i | ||||
\(9\) | 0.294993 | + | 0.751629i | 0.0983309 | + | 0.250543i | ||||
\(10\) | −0.609805 | + | 0.188100i | −0.192837 | + | 0.0594824i | ||||
\(11\) | −1.41440 | + | 1.77361i | −0.426459 | + | 0.534763i | −0.947918 | − | 0.318513i | \(-0.896816\pi\) |
0.521459 | + | 0.853276i | \(0.325388\pi\) | |||||||
\(12\) | 0.232253 | + | 3.09920i | 0.0670457 | + | 0.894663i | ||||
\(13\) | −3.19996 | − | 0.987056i | −0.887508 | − | 0.273760i | −0.182709 | − | 0.983167i | \(-0.558487\pi\) |
−0.704799 | + | 0.709407i | \(0.748963\pi\) | |||||||
\(14\) | −2.22891 | + | 1.51965i | −0.595702 | + | 0.406143i | ||||
\(15\) | 1.92947 | − | 0.290821i | 0.498188 | − | 0.0750897i | ||||
\(16\) | −0.383268 | + | 1.67920i | −0.0958169 | + | 0.419801i | ||||
\(17\) | −3.33167 | − | 3.09134i | −0.808048 | − | 0.749759i | 0.163515 | − | 0.986541i | \(-0.447717\pi\) |
−0.971563 | + | 0.236782i | \(0.923907\pi\) | |||||||
\(18\) | −0.0385066 | + | 0.513835i | −0.00907609 | + | 0.121112i | ||||
\(19\) | 0.504698 | − | 1.28595i | 0.115786 | − | 0.295017i | −0.861219 | − | 0.508233i | \(-0.830299\pi\) |
0.977005 | + | 0.213217i | \(0.0683940\pi\) | |||||||
\(20\) | 1.57497 | + | 0.237388i | 0.352173 | + | 0.0530816i | ||||
\(21\) | 7.43168 | − | 3.57891i | 1.62173 | − | 0.780982i | ||||
\(22\) | −1.30431 | + | 0.628123i | −0.278080 | + | 0.133916i | ||||
\(23\) | 1.53633 | + | 0.231565i | 0.320347 | + | 0.0482846i | 0.307248 | − | 0.951630i | \(-0.400592\pi\) |
0.0130996 | + | 0.999914i | \(0.495830\pi\) | |||||||
\(24\) | −1.63444 | + | 4.16449i | −0.333629 | + | 0.850074i | ||||
\(25\) | 0.0747301 | − | 0.997204i | 0.0149460 | − | 0.199441i | ||||
\(26\) | −1.56654 | − | 1.45354i | −0.307224 | − | 0.285062i | ||||
\(27\) | −0.952003 | + | 4.17100i | −0.183213 | + | 0.802709i | ||||
\(28\) | 6.65782 | − | 1.00351i | 1.25821 | − | 0.189645i | ||||
\(29\) | 3.34579 | − | 2.28112i | 0.621298 | − | 0.423594i | −0.211339 | − | 0.977413i | \(-0.567782\pi\) |
0.832637 | + | 0.553819i | \(0.186830\pi\) | |||||||
\(30\) | 1.18989 | + | 0.367033i | 0.217244 | + | 0.0670107i | ||||
\(31\) | −0.779997 | − | 10.4083i | −0.140092 | − | 1.86939i | −0.417549 | − | 0.908654i | \(-0.637111\pi\) |
0.277458 | − | 0.960738i | \(-0.410508\pi\) | |||||||
\(32\) | −3.54431 | + | 4.44442i | −0.626551 | + | 0.785671i | ||||
\(33\) | 4.22985 | − | 1.30474i | 0.736322 | − | 0.227125i | ||||
\(34\) | −1.05963 | − | 2.69988i | −0.181724 | − | 0.463026i | ||||
\(35\) | −0.940657 | − | 4.12129i | −0.159000 | − | 0.696625i | ||||
\(36\) | 0.643031 | − | 1.11376i | 0.107172 | − | 0.185627i | ||||
\(37\) | −1.24501 | − | 2.15642i | −0.204678 | − | 0.354512i | 0.745352 | − | 0.666671i | \(-0.232281\pi\) |
−0.950030 | + | 0.312158i | \(0.898948\pi\) | |||||||
\(38\) | 0.646241 | − | 0.599624i | 0.104834 | − | 0.0972718i | ||||
\(39\) | 4.07405 | + | 5.10870i | 0.652370 | + | 0.818046i | ||||
\(40\) | 1.89435 | + | 1.29155i | 0.299523 | + | 0.204211i | ||||
\(41\) | −0.962102 | − | 0.463324i | −0.150255 | − | 0.0723590i | 0.357245 | − | 0.934011i | \(-0.383716\pi\) |
−0.507500 | + | 0.861652i | \(0.669430\pi\) | |||||||
\(42\) | 5.26386 | 0.812231 | ||||||||
\(43\) | 4.67763 | + | 4.59563i | 0.713331 | + | 0.700827i | ||||
\(44\) | 3.61322 | 0.544713 | ||||||||
\(45\) | −0.727482 | − | 0.350337i | −0.108447 | − | 0.0522252i | ||||
\(46\) | 0.819210 | + | 0.558528i | 0.120786 | + | 0.0823504i | ||||
\(47\) | 1.28061 | + | 1.60584i | 0.186797 | + | 0.234236i | 0.866408 | − | 0.499337i | \(-0.166423\pi\) |
−0.679611 | + | 0.733572i | \(0.737852\pi\) | |||||||
\(48\) | 2.46367 | − | 2.28595i | 0.355600 | − | 0.329949i | ||||
\(49\) | −5.43493 | − | 9.41358i | −0.776419 | − | 1.34480i | ||||
\(50\) | 0.319078 | − | 0.552659i | 0.0451244 | − | 0.0781578i | ||||
\(51\) | 1.97340 | + | 8.64602i | 0.276331 | + | 1.21069i | ||||
\(52\) | 1.94862 | + | 4.96502i | 0.270226 | + | 0.688524i | ||||
\(53\) | −11.7629 | + | 3.62838i | −1.61576 | + | 0.498396i | −0.965300 | − | 0.261145i | \(-0.915900\pi\) |
−0.650460 | + | 0.759541i | \(0.725424\pi\) | |||||||
\(54\) | −1.70225 | + | 2.13456i | −0.231647 | + | 0.290476i | ||||
\(55\) | −0.169527 | − | 2.26219i | −0.0228591 | − | 0.305033i | ||||
\(56\) | 9.26145 | + | 2.85678i | 1.23761 | + | 0.381753i | ||||
\(57\) | −2.22718 | + | 1.51847i | −0.294997 | + | 0.201126i | ||||
\(58\) | 2.55530 | − | 0.385150i | 0.335528 | − | 0.0505727i | ||||
\(59\) | −2.57109 | + | 11.2647i | −0.334727 | + | 1.46653i | 0.475135 | + | 0.879913i | \(0.342399\pi\) |
−0.809861 | + | 0.586621i | \(0.800458\pi\) | |||||||
\(60\) | −2.27825 | − | 2.11391i | −0.294121 | − | 0.272904i | ||||
\(61\) | 0.544790 | − | 7.26971i | 0.0697532 | − | 0.930791i | −0.847066 | − | 0.531488i | \(-0.821633\pi\) |
0.916819 | − | 0.399303i | \(-0.130748\pi\) | |||||||
\(62\) | 2.43345 | − | 6.20033i | 0.309049 | − | 0.787443i | ||||
\(63\) | −3.37517 | − | 0.508725i | −0.425231 | − | 0.0640933i | ||||
\(64\) | −0.164791 | + | 0.0793592i | −0.0205989 | + | 0.00991990i | ||||
\(65\) | 3.01710 | − | 1.45296i | 0.374226 | − | 0.180218i | ||||
\(66\) | 2.79325 | + | 0.421015i | 0.343825 | + | 0.0518233i | ||||
\(67\) | −2.30374 | + | 5.86982i | −0.281446 | + | 0.717113i | 0.718325 | + | 0.695708i | \(0.244909\pi\) |
−0.999771 | + | 0.0214050i | \(0.993186\pi\) | |||||||
\(68\) | −0.540969 | + | 7.21872i | −0.0656021 | + | 0.875399i | ||||
\(69\) | −2.22236 | − | 2.06205i | −0.267541 | − | 0.248241i | ||||
\(70\) | 0.600286 | − | 2.63003i | 0.0717479 | − | 0.314348i | ||||
\(71\) | −4.22399 | + | 0.636664i | −0.501296 | + | 0.0755582i | −0.394823 | − | 0.918757i | \(-0.629194\pi\) |
−0.106473 | + | 0.994316i | \(0.533956\pi\) | |||||||
\(72\) | 1.52958 | − | 1.04285i | 0.180263 | − | 0.122901i | ||||
\(73\) | −12.3030 | − | 3.79498i | −1.43996 | − | 0.444169i | −0.526179 | − | 0.850374i | \(-0.676376\pi\) |
−0.913782 | + | 0.406204i | \(0.866852\pi\) | |||||||
\(74\) | −0.118747 | − | 1.58457i | −0.0138041 | − | 0.184203i | ||||
\(75\) | −1.21660 | + | 1.52556i | −0.140480 | + | 0.176157i | ||||
\(76\) | −2.10255 | + | 0.648550i | −0.241179 | + | 0.0743938i | ||||
\(77\) | −3.50351 | − | 8.92680i | −0.399262 | − | 1.01730i | ||||
\(78\) | 0.927886 | + | 4.06534i | 0.105062 | + | 0.460309i | ||||
\(79\) | −0.981858 | + | 1.70063i | −0.110468 | + | 0.191336i | −0.915959 | − | 0.401272i | \(-0.868568\pi\) |
0.805491 | + | 0.592608i | \(0.201902\pi\) | |||||||
\(80\) | −0.861194 | − | 1.49163i | −0.0962844 | − | 0.166770i | ||||
\(81\) | 7.89524 | − | 7.32571i | 0.877249 | − | 0.813968i | ||||
\(82\) | −0.424881 | − | 0.532784i | −0.0469203 | − | 0.0588362i | ||||
\(83\) | 7.00429 | + | 4.77544i | 0.768821 | + | 0.524173i | 0.883049 | − | 0.469282i | \(-0.155487\pi\) |
−0.114228 | + | 0.993455i | \(0.536439\pi\) | |||||||
\(84\) | −11.8369 | − | 5.70033i | −1.29151 | − | 0.621957i | ||||
\(85\) | 4.54493 | 0.492967 | ||||||||
\(86\) | 1.41698 | + | 3.93746i | 0.152797 | + | 0.424588i | ||||
\(87\) | −7.90151 | −0.847131 | ||||||||
\(88\) | 4.68607 | + | 2.25669i | 0.499537 | + | 0.240564i | ||||
\(89\) | 12.3092 | + | 8.39227i | 1.30477 | + | 0.889578i | 0.998062 | − | 0.0622247i | \(-0.0198195\pi\) |
0.306710 | + | 0.951803i | \(0.400772\pi\) | |||||||
\(90\) | −0.321269 | − | 0.402859i | −0.0338647 | − | 0.0424650i | ||||
\(91\) | 10.3771 | − | 9.62853i | 1.08781 | − | 1.00934i | ||||
\(92\) | −1.23732 | − | 2.14310i | −0.129000 | − | 0.223434i | ||||
\(93\) | −10.1832 | + | 17.6378i | −1.05595 | + | 1.82896i | ||||
\(94\) | 0.291667 | + | 1.27787i | 0.0300831 | + | 0.131803i | ||||
\(95\) | 0.504698 | + | 1.28595i | 0.0517809 | + | 0.131936i | ||||
\(96\) | 10.5994 | − | 3.26949i | 1.08180 | − | 0.333691i | ||||
\(97\) | 9.08877 | − | 11.3970i | 0.922825 | − | 1.15719i | −0.0644115 | − | 0.997923i | \(-0.520517\pi\) |
0.987236 | − | 0.159262i | \(-0.0509115\pi\) | |||||||
\(98\) | −0.518378 | − | 6.91727i | −0.0523641 | − | 0.698750i | ||||
\(99\) | −1.75033 | − | 0.539906i | −0.175915 | − | 0.0542626i | ||||
\(100\) | −1.31600 | + | 0.897232i | −0.131600 | + | 0.0897232i | ||||
\(101\) | −15.1551 | + | 2.28427i | −1.50799 | + | 0.227293i | −0.850422 | − | 0.526102i | \(-0.823653\pi\) |
−0.657569 | + | 0.753395i | \(0.728415\pi\) | |||||||
\(102\) | −1.25934 | + | 5.51751i | −0.124693 | + | 0.546315i | ||||
\(103\) | −12.8092 | − | 11.8852i | −1.26213 | − | 1.17108i | −0.977150 | − | 0.212549i | \(-0.931823\pi\) |
−0.284977 | − | 0.958534i | \(-0.591986\pi\) | |||||||
\(104\) | −0.573760 | + | 7.65630i | −0.0562618 | + | 0.750762i | ||||
\(105\) | −3.01353 | + | 7.67835i | −0.294091 | + | 0.749331i | ||||
\(106\) | −7.76783 | − | 1.17081i | −0.754478 | − | 0.113719i | ||||
\(107\) | 2.16639 | − | 1.04328i | 0.209433 | − | 0.100857i | −0.326227 | − | 0.945292i | \(-0.605777\pi\) |
0.535660 | + | 0.844434i | \(0.320063\pi\) | |||||||
\(108\) | 6.13941 | − | 2.95658i | 0.590765 | − | 0.284497i | ||||
\(109\) | −1.47172 | − | 0.221826i | −0.140965 | − | 0.0212471i | 0.0781805 | − | 0.996939i | \(-0.475089\pi\) |
−0.219146 | + | 0.975692i | \(0.570327\pi\) | |||||||
\(110\) | 0.528895 | − | 1.34760i | 0.0504282 | − | 0.128489i | ||||
\(111\) | −0.363090 | + | 4.84510i | −0.0344630 | + | 0.459876i | ||||
\(112\) | −5.33736 | − | 4.95235i | −0.504333 | − | 0.467953i | ||||
\(113\) | 2.33819 | − | 10.2443i | 0.219958 | − | 0.963699i | −0.737550 | − | 0.675293i | \(-0.764017\pi\) |
0.957508 | − | 0.288407i | \(-0.0931255\pi\) | |||||||
\(114\) | −1.70098 | + | 0.256381i | −0.159311 | + | 0.0240123i | ||||
\(115\) | −1.28371 | + | 0.875222i | −0.119707 | + | 0.0816148i | ||||
\(116\) | −6.16321 | − | 1.90110i | −0.572239 | − | 0.176512i | ||||
\(117\) | −0.202064 | − | 2.69635i | −0.0186808 | − | 0.249278i | ||||
\(118\) | −4.59729 | + | 5.76482i | −0.423215 | + | 0.530695i | ||||
\(119\) | 18.3591 | − | 5.66303i | 1.68298 | − | 0.519129i | ||||
\(120\) | −1.63444 | − | 4.16449i | −0.149204 | − | 0.380165i | ||||
\(121\) | 1.30259 | + | 5.70701i | 0.118417 | + | 0.518819i | ||||
\(122\) | 2.32611 | − | 4.02894i | 0.210596 | − | 0.364763i | ||||
\(123\) | 1.04183 | + | 1.80451i | 0.0939389 | + | 0.162707i | ||||
\(124\) | −12.1866 | + | 11.3075i | −1.09439 | + | 1.01544i | ||||
\(125\) | 0.623490 | + | 0.781831i | 0.0557666 | + | 0.0699291i | ||||
\(126\) | −1.79972 | − | 1.22703i | −0.160332 | − | 0.109313i | ||||
\(127\) | −2.77776 | − | 1.33770i | −0.246486 | − | 0.118701i | 0.306562 | − | 0.951851i | \(-0.400821\pi\) |
−0.553048 | + | 0.833149i | \(0.686536\pi\) | |||||||
\(128\) | 11.2525 | 0.994594 | ||||||||
\(129\) | −2.48987 | − | 12.5507i | −0.219221 | − | 1.10503i | ||||
\(130\) | 2.13701 | 0.187428 | ||||||||
\(131\) | −2.86982 | − | 1.38203i | −0.250738 | − | 0.120749i | 0.304294 | − | 0.952578i | \(-0.401580\pi\) |
−0.555032 | + | 0.831829i | \(0.687294\pi\) | |||||||
\(132\) | −5.82527 | − | 3.97160i | −0.507025 | − | 0.345684i | ||||
\(133\) | 3.64102 | + | 4.56569i | 0.315716 | + | 0.395896i | ||||
\(134\) | −2.94982 | + | 2.73703i | −0.254826 | + | 0.236444i | ||||
\(135\) | −2.13913 | − | 3.70508i | −0.184107 | − | 0.318883i | ||||
\(136\) | −5.21017 | + | 9.02427i | −0.446768 | + | 0.773825i | ||||
\(137\) | 3.18673 | + | 13.9620i | 0.272260 | + | 1.19285i | 0.907338 | + | 0.420402i | \(0.138111\pi\) |
−0.635078 | + | 0.772448i | \(0.719032\pi\) | |||||||
\(138\) | −0.706814 | − | 1.80093i | −0.0601680 | − | 0.153305i | ||||
\(139\) | −13.6884 | + | 4.22232i | −1.16104 | + | 0.358133i | −0.814647 | − | 0.579958i | \(-0.803069\pi\) |
−0.346391 | + | 0.938090i | \(0.612593\pi\) | |||||||
\(140\) | −4.19797 | + | 5.26409i | −0.354793 | + | 0.444897i | ||||
\(141\) | −0.299503 | − | 3.99659i | −0.0252227 | − | 0.336574i | ||||
\(142\) | −2.60490 | − | 0.803507i | −0.218599 | − | 0.0674288i | ||||
\(143\) | 6.27668 | − | 4.27937i | 0.524883 | − | 0.357859i | ||||
\(144\) | −1.37520 | + | 0.207278i | −0.114600 | + | 0.0172732i | ||||
\(145\) | −0.901082 | + | 3.94790i | −0.0748308 | + | 0.327855i | ||||
\(146\) | −6.02296 | − | 5.58849i | −0.498464 | − | 0.462507i | ||||
\(147\) | −1.58503 | + | 21.1507i | −0.130731 | + | 1.74448i | ||||
\(148\) | −1.44894 | + | 3.69183i | −0.119102 | + | 0.303467i | ||||
\(149\) | 10.9210 | + | 1.64607i | 0.894681 | + | 0.134852i | 0.580259 | − | 0.814432i | \(-0.302951\pi\) |
0.314422 | + | 0.949283i | \(0.398189\pi\) | |||||||
\(150\) | −1.12190 | + | 0.540278i | −0.0916026 | + | 0.0441135i | ||||
\(151\) | −6.16646 | + | 2.96961i | −0.501819 | + | 0.241663i | −0.667629 | − | 0.744494i | \(-0.732691\pi\) |
0.165810 | + | 0.986158i | \(0.446976\pi\) | |||||||
\(152\) | −3.13191 | − | 0.472060i | −0.254032 | − | 0.0382891i | ||||
\(153\) | 1.34072 | − | 3.41610i | 0.108391 | − | 0.276175i | ||||
\(154\) | 0.457327 | − | 6.10261i | 0.0368525 | − | 0.491762i | ||||
\(155\) | 7.65124 | + | 7.09932i | 0.614563 | + | 0.570231i | ||||
\(156\) | 2.31589 | − | 10.1466i | 0.185419 | − | 0.812375i | ||||
\(157\) | −4.72257 | + | 0.711814i | −0.376903 | + | 0.0568089i | −0.334762 | − | 0.942303i | \(-0.608656\pi\) |
−0.0421407 | + | 0.999112i | \(0.513418\pi\) | |||||||
\(158\) | −1.03541 | + | 0.705928i | −0.0823725 | + | 0.0561607i | ||||
\(159\) | 22.9526 | + | 7.07993i | 1.82026 | + | 0.561475i | ||||
\(160\) | −0.424813 | − | 5.66874i | −0.0335844 | − | 0.448153i | ||||
\(161\) | −4.09499 | + | 5.13495i | −0.322730 | + | 0.404691i | ||||
\(162\) | 6.56782 | − | 2.02590i | 0.516017 | − | 0.159170i | ||||
\(163\) | 0.678873 | + | 1.72974i | 0.0531735 | + | 0.135484i | 0.954992 | − | 0.296630i | \(-0.0958630\pi\) |
−0.901819 | + | 0.432114i | \(0.857768\pi\) | |||||||
\(164\) | 0.378470 | + | 1.65819i | 0.0295535 | + | 0.129483i | ||||
\(165\) | −2.21325 | + | 3.83347i | −0.172302 | + | 0.298435i | ||||
\(166\) | 2.70493 | + | 4.68507i | 0.209943 | + | 0.363632i | ||||
\(167\) | −5.72801 | + | 5.31482i | −0.443247 | + | 0.411273i | −0.869966 | − | 0.493111i | \(-0.835860\pi\) |
0.426720 | + | 0.904384i | \(0.359669\pi\) | |||||||
\(168\) | −11.7913 | − | 14.7858i | −0.909718 | − | 1.14075i | ||||
\(169\) | −1.47566 | − | 1.00609i | −0.113512 | − | 0.0773915i | ||||
\(170\) | 2.61315 | + | 1.25842i | 0.200419 | + | 0.0965168i | ||||
\(171\) | 1.11544 | 0.0852997 | ||||||||
\(172\) | 1.07759 | − | 10.3887i | 0.0821654 | − | 0.792128i | ||||
\(173\) | −2.42898 | −0.184672 | −0.0923360 | − | 0.995728i | \(-0.529433\pi\) | ||||
−0.0923360 | + | 0.995728i | \(0.529433\pi\) | |||||||
\(174\) | −4.54304 | − | 2.18781i | −0.344407 | − | 0.165858i | ||||
\(175\) | 3.49274 | + | 2.38131i | 0.264026 | + | 0.180010i | ||||
\(176\) | −2.43615 | − | 3.05484i | −0.183632 | − | 0.230267i | ||||
\(177\) | 16.5271 | − | 15.3349i | 1.24225 | − | 1.15264i | ||||
\(178\) | 4.75358 | + | 8.23344i | 0.356296 | + | 0.617123i | ||||
\(179\) | 2.56940 | − | 4.45033i | 0.192046 | − | 0.332634i | −0.753882 | − | 0.657010i | \(-0.771821\pi\) |
0.945928 | + | 0.324376i | \(0.105154\pi\) | |||||||
\(180\) | 0.286176 | + | 1.25382i | 0.0213303 | + | 0.0934541i | ||||
\(181\) | −2.83958 | − | 7.23513i | −0.211064 | − | 0.537783i | 0.785660 | − | 0.618659i | \(-0.212324\pi\) |
−0.996724 | + | 0.0808757i | \(0.974228\pi\) | |||||||
\(182\) | 8.63240 | − | 2.66274i | 0.639876 | − | 0.197376i | ||||
\(183\) | −8.86910 | + | 11.1215i | −0.655623 | + | 0.822125i | ||||
\(184\) | −0.266203 | − | 3.55223i | −0.0196247 | − | 0.261874i | ||||
\(185\) | 2.37939 | + | 0.733944i | 0.174936 | + | 0.0539607i | ||||
\(186\) | −10.7386 | + | 7.32143i | −0.787390 | + | 0.536834i | ||||
\(187\) | 10.1951 | − | 1.53667i | 0.745543 | − | 0.112372i | ||||
\(188\) | 0.727963 | − | 3.18941i | 0.0530922 | − | 0.232612i | ||||
\(189\) | −13.2575 | − | 12.3012i | −0.964344 | − | 0.894780i | ||||
\(190\) | −0.0658802 | + | 0.879111i | −0.00477946 | + | 0.0637774i | ||||
\(191\) | −2.75742 | + | 7.02580i | −0.199520 | + | 0.508369i | −0.995258 | − | 0.0972724i | \(-0.968988\pi\) |
0.795738 | + | 0.605642i | \(0.207083\pi\) | |||||||
\(192\) | 0.352909 | + | 0.0531925i | 0.0254690 | + | 0.00383884i | ||||
\(193\) | 24.7329 | − | 11.9107i | 1.78031 | − | 0.857352i | 0.823134 | − | 0.567847i | \(-0.192223\pi\) |
0.957176 | − | 0.289505i | \(-0.0934908\pi\) | |||||||
\(194\) | 8.38132 | − | 4.03623i | 0.601744 | − | 0.289784i | ||||
\(195\) | −6.46129 | − | 0.973882i | −0.462702 | − | 0.0697412i | ||||
\(196\) | −6.32517 | + | 16.1163i | −0.451798 | + | 1.15116i | ||||
\(197\) | −0.747661 | + | 9.97684i | −0.0532687 | + | 0.710821i | 0.905084 | + | 0.425233i | \(0.139808\pi\) |
−0.958353 | + | 0.285588i | \(0.907811\pi\) | |||||||
\(198\) | −0.856877 | − | 0.795066i | −0.0608956 | − | 0.0565029i | ||||
\(199\) | 4.61679 | − | 20.2275i | 0.327275 | − | 1.43389i | −0.497026 | − | 0.867736i | \(-0.665575\pi\) |
0.824301 | − | 0.566151i | \(-0.191568\pi\) | |||||||
\(200\) | −2.26713 | + | 0.341715i | −0.160310 | + | 0.0241629i | ||||
\(201\) | 10.1661 | − | 6.93116i | 0.717065 | − | 0.488887i | ||||
\(202\) | −9.34605 | − | 2.88287i | −0.657586 | − | 0.202838i | ||||
\(203\) | 1.27923 | + | 17.0702i | 0.0897845 | + | 1.19809i | ||||
\(204\) | 8.80689 | − | 11.0435i | 0.616606 | − | 0.773199i | ||||
\(205\) | 1.02041 | − | 0.314755i | 0.0712686 | − | 0.0219834i | ||||
\(206\) | −4.07392 | − | 10.3802i | −0.283843 | − | 0.723221i | ||||
\(207\) | 0.279156 | + | 1.22306i | 0.0194027 | + | 0.0850086i | ||||
\(208\) | 2.88391 | − | 4.99508i | 0.199963 | − | 0.346346i | ||||
\(209\) | 1.56692 | + | 2.71399i | 0.108386 | + | 0.187730i | ||||
\(210\) | −3.85868 | + | 3.58033i | −0.266274 | + | 0.247066i | ||||
\(211\) | 3.01243 | + | 3.77747i | 0.207384 | + | 0.260052i | 0.874636 | − | 0.484781i | \(-0.161101\pi\) |
−0.667251 | + | 0.744833i | \(0.732529\pi\) | |||||||
\(212\) | 16.1997 | + | 11.0447i | 1.11260 | + | 0.758556i | ||||
\(213\) | 7.50979 | + | 3.61652i | 0.514562 | + | 0.247800i | ||||
\(214\) | 1.53445 | 0.104893 | ||||||||
\(215\) | −6.55476 | − | 0.187241i | −0.447031 | − | 0.0127698i | ||||
\(216\) | 9.80894 | 0.667414 | ||||||||
\(217\) | 39.7528 | + | 19.1439i | 2.69860 | + | 1.29958i | ||||
\(218\) | −0.784759 | − | 0.535039i | −0.0531506 | − | 0.0362374i | ||||
\(219\) | 15.6637 | + | 19.6417i | 1.05846 | + | 1.32726i | ||||
\(220\) | −2.64867 | + | 2.45761i | −0.178574 | + | 0.165692i | ||||
\(221\) | 7.60987 | + | 13.1807i | 0.511895 | + | 0.886629i | ||||
\(222\) | −1.55030 | + | 2.68520i | −0.104049 | + | 0.180219i | ||||
\(223\) | −6.02082 | − | 26.3789i | −0.403184 | − | 1.76646i | −0.614370 | − | 0.789018i | \(-0.710590\pi\) |
0.211186 | − | 0.977446i | \(-0.432267\pi\) | |||||||
\(224\) | −8.77933 | − | 22.3694i | −0.586594 | − | 1.49462i | ||||
\(225\) | 0.771572 | − | 0.237998i | 0.0514381 | − | 0.0158666i | ||||
\(226\) | 4.18085 | − | 5.24262i | 0.278106 | − | 0.348734i | ||||
\(227\) | −1.47996 | − | 19.7487i | −0.0982283 | − | 1.31077i | −0.800705 | − | 0.599059i | \(-0.795541\pi\) |
0.702477 | − | 0.711707i | \(-0.252078\pi\) | |||||||
\(228\) | 4.10264 | + | 1.26550i | 0.271704 | + | 0.0838095i | ||||
\(229\) | 1.45088 | − | 0.989196i | 0.0958771 | − | 0.0653679i | −0.514433 | − | 0.857531i | \(-0.671997\pi\) |
0.610310 | + | 0.792163i | \(0.291045\pi\) | |||||||
\(230\) | −0.980419 | + | 0.147774i | −0.0646469 | + | 0.00974395i | ||||
\(231\) | −4.16383 | + | 18.2429i | −0.273960 | + | 1.20030i | ||||
\(232\) | −6.80586 | − | 6.31491i | −0.446826 | − | 0.414594i | ||||
\(233\) | 0.963447 | − | 12.8563i | 0.0631175 | − | 0.842245i | −0.872361 | − | 0.488862i | \(-0.837412\pi\) |
0.935479 | − | 0.353383i | \(-0.114969\pi\) | |||||||
\(234\) | 0.630403 | − | 1.60624i | 0.0412107 | − | 0.105003i | ||||
\(235\) | −2.03100 | − | 0.306125i | −0.132488 | − | 0.0199694i | ||||
\(236\) | 16.5808 | − | 7.98488i | 1.07932 | − | 0.519772i | ||||
\(237\) | 3.45227 | − | 1.66253i | 0.224249 | − | 0.107993i | ||||
\(238\) | 12.1237 | + | 1.82736i | 0.785865 | + | 0.118450i | ||||
\(239\) | −3.55227 | + | 9.05103i | −0.229777 | + | 0.585463i | −0.998537 | − | 0.0540750i | \(-0.982779\pi\) |
0.768760 | + | 0.639538i | \(0.220874\pi\) | |||||||
\(240\) | −0.251156 | + | 3.35144i | −0.0162120 | + | 0.216335i | ||||
\(241\) | 11.6051 | + | 10.7679i | 0.747549 | + | 0.693624i | 0.958887 | − | 0.283789i | \(-0.0915916\pi\) |
−0.211338 | + | 0.977413i | \(0.567782\pi\) | |||||||
\(242\) | −0.831254 | + | 3.64196i | −0.0534350 | + | 0.234114i | ||||
\(243\) | −8.08970 | + | 1.21933i | −0.518955 | + | 0.0782198i | ||||
\(244\) | −9.59375 | + | 6.54091i | −0.614177 | + | 0.418739i | ||||
\(245\) | 10.3869 | + | 3.20395i | 0.663598 | + | 0.204693i | ||||
\(246\) | 0.0993689 | + | 1.32599i | 0.00633553 | + | 0.0845417i | ||||
\(247\) | −2.88431 | + | 3.61681i | −0.183524 | + | 0.230132i | ||||
\(248\) | −22.8673 | + | 7.05364i | −1.45208 | + | 0.447907i | ||||
\(249\) | −6.04329 | − | 15.3981i | −0.382978 | − | 0.975813i | ||||
\(250\) | 0.142003 | + | 0.622156i | 0.00898106 | + | 0.0393486i | ||||
\(251\) | −15.6738 | + | 27.1478i | −0.989320 | + | 1.71355i | −0.368430 | + | 0.929656i | \(0.620104\pi\) |
−0.620890 | + | 0.783897i | \(0.713229\pi\) | |||||||
\(252\) | 2.71827 | + | 4.70818i | 0.171235 | + | 0.296588i | ||||
\(253\) | −2.58370 | + | 2.39732i | −0.162436 | + | 0.150718i | ||||
\(254\) | −1.22671 | − | 1.53824i | −0.0769704 | − | 0.0965178i | ||||
\(255\) | −7.32739 | − | 4.99573i | −0.458859 | − | 0.312845i | ||||
\(256\) | 6.79933 | + | 3.27438i | 0.424958 | + | 0.204649i | ||||
\(257\) | −25.5190 | −1.59183 | −0.795916 | − | 0.605407i | \(-0.793011\pi\) | ||||
−0.795916 | + | 0.605407i | \(0.793011\pi\) | |||||||
\(258\) | 2.04354 | − | 7.90556i | 0.127225 | − | 0.492178i | ||||
\(259\) | 10.5260 | 0.654052 | ||||||||
\(260\) | −4.80551 | − | 2.31421i | −0.298025 | − | 0.143521i | ||||
\(261\) | 2.70154 | + | 1.84188i | 0.167221 | + | 0.114010i | ||||
\(262\) | −1.26737 | − | 1.58923i | −0.0782981 | − | 0.0981827i | ||||
\(263\) | 4.54539 | − | 4.21750i | 0.280281 | − | 0.260062i | −0.527487 | − | 0.849563i | \(-0.676866\pi\) |
0.807768 | + | 0.589500i | \(0.200675\pi\) | |||||||
\(264\) | −5.07441 | − | 8.78914i | −0.312309 | − | 0.540934i | ||||
\(265\) | 6.15490 | − | 10.6606i | 0.378092 | − | 0.654875i | ||||
\(266\) | 0.829261 | + | 3.63323i | 0.0508452 | + | 0.222768i | ||||
\(267\) | −10.6204 | − | 27.0602i | −0.649956 | − | 1.65606i | ||||
\(268\) | 9.59726 | − | 2.96036i | 0.586246 | − | 0.180833i | ||||
\(269\) | 10.8886 | − | 13.6538i | 0.663887 | − | 0.832488i | −0.329873 | − | 0.944025i | \(-0.607006\pi\) |
0.993760 | + | 0.111537i | \(0.0355774\pi\) | |||||||
\(270\) | −0.204028 | − | 2.72256i | −0.0124167 | − | 0.165690i | ||||
\(271\) | 0.475188 | + | 0.146576i | 0.0288656 | + | 0.00890386i | 0.309154 | − | 0.951012i | \(-0.399954\pi\) |
−0.280289 | + | 0.959916i | \(0.590430\pi\) | |||||||
\(272\) | 6.46791 | − | 4.40974i | 0.392174 | − | 0.267380i | ||||
\(273\) | −27.3136 | + | 4.11687i | −1.65310 | + | 0.249164i | ||||
\(274\) | −2.03363 | + | 8.90990i | −0.122856 | + | 0.538267i | ||||
\(275\) | 1.66295 | + | 1.54299i | 0.100280 | + | 0.0930459i | ||||
\(276\) | −0.360848 | + | 4.81519i | −0.0217205 | + | 0.289840i | ||||
\(277\) | 6.15741 | − | 15.6888i | 0.369963 | − | 0.942650i | −0.617750 | − | 0.786374i | \(-0.711956\pi\) |
0.987713 | − | 0.156276i | \(-0.0499490\pi\) | |||||||
\(278\) | −9.03938 | − | 1.36247i | −0.542146 | − | 0.0817154i | ||||
\(279\) | 7.59311 | − | 3.65665i | 0.454588 | − | 0.218918i | ||||
\(280\) | −8.73223 | + | 4.20522i | −0.521850 | + | 0.251310i | ||||
\(281\) | −26.3652 | − | 3.97392i | −1.57282 | − | 0.237064i | −0.696056 | − | 0.717988i | \(-0.745063\pi\) |
−0.876762 | + | 0.480924i | \(0.840301\pi\) | |||||||
\(282\) | 0.934396 | − | 2.38080i | 0.0556425 | − | 0.141775i | ||||
\(283\) | 0.365409 | − | 4.87605i | 0.0217213 | − | 0.289851i | −0.975756 | − | 0.218862i | \(-0.929765\pi\) |
0.997477 | − | 0.0709889i | \(-0.0226155\pi\) | |||||||
\(284\) | 4.98753 | + | 4.62775i | 0.295955 | + | 0.274606i | ||||
\(285\) | 0.599819 | − | 2.62798i | 0.0355302 | − | 0.155668i | ||||
\(286\) | 4.79373 | − | 0.722538i | 0.283459 | − | 0.0427246i | ||||
\(287\) | 3.72973 | − | 2.54289i | 0.220159 | − | 0.150102i | ||||
\(288\) | −4.38610 | − | 1.35293i | −0.258454 | − | 0.0797224i | ||||
\(289\) | 0.273241 | + | 3.64614i | 0.0160730 | + | 0.214479i | ||||
\(290\) | −1.61120 | + | 2.02038i | −0.0946130 | + | 0.118641i | ||||
\(291\) | −27.1804 | + | 8.38405i | −1.59335 | + | 0.491482i | ||||
\(292\) | 7.49198 | + | 19.0893i | 0.438435 | + | 1.11711i | ||||
\(293\) | −2.70036 | − | 11.8311i | −0.157757 | − | 0.691177i | −0.990499 | − | 0.137517i | \(-0.956088\pi\) |
0.832743 | − | 0.553660i | \(-0.186769\pi\) | |||||||
\(294\) | −6.76765 | + | 11.7219i | −0.394697 | + | 0.683636i | ||||
\(295\) | −5.77718 | − | 10.0064i | −0.336360 | − | 0.582593i | ||||
\(296\) | −4.18496 | + | 3.88307i | −0.243246 | + | 0.225699i | ||||
\(297\) | −6.05119 | − | 7.58796i | −0.351126 | − | 0.440298i | ||||
\(298\) | 5.82334 | + | 3.97028i | 0.337337 | + | 0.229992i | ||||
\(299\) | −4.68763 | − | 2.25744i | −0.271092 | − | 0.130551i | ||||
\(300\) | 3.10789 | 0.179434 | ||||||||
\(301\) | −26.7111 | + | 7.41096i | −1.53960 | + | 0.427160i | ||||
\(302\) | −4.36770 | −0.251333 | ||||||||
\(303\) | 26.9441 | + | 12.9756i | 1.54790 | + | 0.745429i | ||||
\(304\) | 1.96594 | + | 1.34035i | 0.112754 | + | 0.0768745i | ||||
\(305\) | 4.54530 | + | 5.69963i | 0.260263 | + | 0.326360i | ||||
\(306\) | 1.71673 | − | 1.59289i | 0.0981388 | − | 0.0910595i | ||||
\(307\) | −9.19323 | − | 15.9231i | −0.524685 | − | 0.908782i | −0.999587 | − | 0.0287429i | \(-0.990850\pi\) |
0.474901 | − | 0.880039i | \(-0.342484\pi\) | |||||||
\(308\) | −7.63703 | + | 13.2277i | −0.435160 | + | 0.753719i | ||||
\(309\) | 7.58708 | + | 33.2412i | 0.431614 | + | 1.89102i | ||||
\(310\) | 2.43345 | + | 6.20033i | 0.138211 | + | 0.352155i | ||||
\(311\) | −18.1902 | + | 5.61093i | −1.03147 | + | 0.318167i | −0.763875 | − | 0.645364i | \(-0.776706\pi\) |
−0.267597 | + | 0.963531i | \(0.586229\pi\) | |||||||
\(312\) | 9.34074 | − | 11.7129i | 0.528815 | − | 0.663113i | ||||
\(313\) | 2.24447 | + | 29.9503i | 0.126865 | + | 1.69289i | 0.590635 | + | 0.806939i | \(0.298877\pi\) |
−0.463771 | + | 0.885955i | \(0.653504\pi\) | |||||||
\(314\) | −2.91238 | − | 0.898349i | −0.164355 | − | 0.0506968i | ||||
\(315\) | 2.82019 | − | 1.92278i | 0.158900 | − | 0.108336i | ||||
\(316\) | 3.09279 | − | 0.466163i | 0.173983 | − | 0.0262237i | ||||
\(317\) | −0.0569013 | + | 0.249301i | −0.00319589 | + | 0.0140021i | −0.976501 | − | 0.215514i | \(-0.930857\pi\) |
0.973305 | + | 0.229516i | \(0.0737144\pi\) | |||||||
\(318\) | 11.2365 | + | 10.4259i | 0.630109 | + | 0.584656i | ||||
\(319\) | −0.686489 | + | 9.16055i | −0.0384360 | + | 0.512893i | ||||
\(320\) | 0.0668224 | − | 0.170261i | 0.00373549 | − | 0.00951787i | ||||
\(321\) | −4.63944 | − | 0.699283i | −0.258948 | − | 0.0390302i | ||||
\(322\) | −3.77624 | + | 1.81854i | −0.210442 | + | 0.101343i | ||||
\(323\) | −5.65678 | + | 2.72416i | −0.314752 | + | 0.151577i | ||||
\(324\) | −16.9630 | − | 2.55676i | −0.942387 | − | 0.142042i | ||||
\(325\) | −1.22343 | + | 3.11725i | −0.0678636 | + | 0.172914i | ||||
\(326\) | −0.0886161 | + | 1.18250i | −0.00490799 | + | 0.0654926i | ||||
\(327\) | 2.12890 | + | 1.97533i | 0.117728 | + | 0.109236i | ||||
\(328\) | −0.544800 | + | 2.38692i | −0.0300815 | + | 0.131796i | ||||
\(329\) | −8.58562 | + | 1.29407i | −0.473340 | + | 0.0713446i | ||||
\(330\) | −2.33396 | + | 1.59127i | −0.128480 | + | 0.0875964i | ||||
\(331\) | −33.8022 | − | 10.4266i | −1.85794 | − | 0.573097i | −0.998037 | − | 0.0626334i | \(-0.980050\pi\) |
−0.859899 | − | 0.510464i | \(-0.829474\pi\) | |||||||
\(332\) | −1.00903 | − | 13.4646i | −0.0553776 | − | 0.738963i | ||||
\(333\) | 1.25356 | − | 1.57191i | 0.0686945 | − | 0.0861401i | ||||
\(334\) | −4.76496 | + | 1.46980i | −0.260727 | + | 0.0804237i | ||||
\(335\) | −2.30374 | − | 5.86982i | −0.125867 | − | 0.320703i | ||||
\(336\) | 3.16140 | + | 13.8510i | 0.172468 | + | 0.755634i | ||||
\(337\) | −0.709443 | + | 1.22879i | −0.0386458 | + | 0.0669365i | −0.884701 | − | 0.466158i | \(-0.845638\pi\) |
0.846056 | + | 0.533095i | \(0.178971\pi\) | |||||||
\(338\) | −0.569873 | − | 0.987049i | −0.0309970 | − | 0.0536884i | ||||
\(339\) | −15.0300 | + | 13.9458i | −0.816319 | + | 0.757433i | ||||
\(340\) | −4.51342 | − | 5.65965i | −0.244775 | − | 0.306938i | ||||
\(341\) | 19.5635 | + | 13.3382i | 1.05942 | + | 0.722303i | ||||
\(342\) | 0.641331 | + | 0.308849i | 0.0346792 | + | 0.0167006i | ||||
\(343\) | 16.3590 | 0.883302 | ||||||||
\(344\) | 7.88596 | − | 12.8003i | 0.425183 | − | 0.690146i | ||||
\(345\) | 3.03165 | 0.163219 | ||||||||
\(346\) | −1.39656 | − | 0.672549i | −0.0750797 | − | 0.0361565i | ||||
\(347\) | 17.6856 | + | 12.0578i | 0.949412 | + | 0.647298i | 0.935771 | − | 0.352609i | \(-0.114705\pi\) |
0.0136414 | + | 0.999907i | \(0.495658\pi\) | |||||||
\(348\) | 7.84674 | + | 9.83950i | 0.420629 | + | 0.527452i | ||||
\(349\) | −22.4183 | + | 20.8011i | −1.20002 | + | 1.11346i | −0.209257 | + | 0.977861i | \(0.567105\pi\) |
−0.990764 | + | 0.135597i | \(0.956705\pi\) | |||||||
\(350\) | 1.34883 | + | 2.33624i | 0.0720980 | + | 0.124877i | ||||
\(351\) | 7.16337 | − | 12.4073i | 0.382353 | − | 0.662254i | ||||
\(352\) | −2.86957 | − | 12.5724i | −0.152949 | − | 0.670113i | ||||
\(353\) | −6.85668 | − | 17.4705i | −0.364944 | − | 0.929862i | −0.988924 | − | 0.148422i | \(-0.952581\pi\) |
0.623980 | − | 0.781440i | \(-0.285515\pi\) | |||||||
\(354\) | 13.7484 | − | 4.24083i | 0.730721 | − | 0.225398i | ||||
\(355\) | 2.66336 | − | 3.33975i | 0.141357 | − | 0.177256i | ||||
\(356\) | −1.77325 | − | 23.6623i | −0.0939819 | − | 1.25410i | ||||
\(357\) | −35.8235 | − | 11.0501i | −1.89598 | − | 0.584833i | ||||
\(358\) | 2.70953 | − | 1.84733i | 0.143203 | − | 0.0976343i | ||||
\(359\) | 35.2161 | − | 5.30797i | 1.85863 | − | 0.280144i | 0.878391 | − | 0.477942i | \(-0.158617\pi\) |
0.980243 | + | 0.197798i | \(0.0633791\pi\) | |||||||
\(360\) | −0.411944 | + | 1.80485i | −0.0217114 | + | 0.0951237i | ||||
\(361\) | 12.5290 | + | 11.6253i | 0.659423 | + | 0.611855i | ||||
\(362\) | 0.370662 | − | 4.94614i | 0.0194815 | − | 0.259963i | ||||
\(363\) | 4.17303 | − | 10.6327i | 0.219027 | − | 0.558072i | ||||
\(364\) | −22.2953 | − | 3.36047i | −1.16859 | − | 0.176136i | ||||
\(365\) | 11.6000 | − | 5.58627i | 0.607172 | − | 0.292399i | ||||
\(366\) | −8.17875 | + | 3.93868i | −0.427510 | + | 0.205878i | ||||
\(367\) | −24.0686 | − | 3.62775i | −1.25637 | − | 0.189367i | −0.513082 | − | 0.858340i | \(-0.671496\pi\) |
−0.743287 | + | 0.668972i | \(0.766734\pi\) | |||||||
\(368\) | −0.977670 | + | 2.49106i | −0.0509646 | + | 0.129856i | ||||
\(369\) | 0.0644346 | − | 0.859821i | 0.00335433 | − | 0.0447605i | ||||
\(370\) | 1.16483 | + | 1.08081i | 0.0605567 | + | 0.0561884i | ||||
\(371\) | 11.5793 | − | 50.7322i | 0.601167 | − | 2.63389i | ||||
\(372\) | 32.0764 | − | 4.83474i | 1.66308 | − | 0.250670i | ||||
\(373\) | 18.9510 | − | 12.9205i | 0.981244 | − | 0.669000i | 0.0373679 | − | 0.999302i | \(-0.488103\pi\) |
0.943876 | + | 0.330301i | \(0.107150\pi\) | |||||||
\(374\) | 6.28727 | + | 1.93937i | 0.325107 | + | 0.100282i | ||||
\(375\) | −0.145818 | − | 1.94581i | −0.00753003 | − | 0.100481i | ||||
\(376\) | 2.93611 | − | 3.68177i | 0.151419 | − | 0.189873i | ||||
\(377\) | −12.9580 | + | 3.99701i | −0.667370 | + | 0.205856i | ||||
\(378\) | −4.21651 | − | 10.7435i | −0.216874 | − | 0.552586i | ||||
\(379\) | 0.463815 | + | 2.03211i | 0.0238246 | + | 0.104382i | 0.985442 | − | 0.170011i | \(-0.0543802\pi\) |
−0.961618 | + | 0.274393i | \(0.911523\pi\) | |||||||
\(380\) | 1.10015 | − | 1.90552i | 0.0564366 | − | 0.0977510i | ||||
\(381\) | 3.00795 | + | 5.20993i | 0.154102 | + | 0.266913i | ||||
\(382\) | −3.53075 | + | 3.27605i | −0.180649 | + | 0.167618i | ||||
\(383\) | −10.4681 | − | 13.1266i | −0.534894 | − | 0.670736i | 0.438802 | − | 0.898584i | \(-0.355403\pi\) |
−0.973697 | + | 0.227847i | \(0.926831\pi\) | |||||||
\(384\) | −18.1415 | − | 12.3687i | −0.925779 | − | 0.631185i | ||||
\(385\) | 8.64002 | + | 4.16081i | 0.440336 | + | 0.212055i | ||||
\(386\) | 17.5183 | 0.891657 | ||||||||
\(387\) | −2.07434 | + | 4.87152i | −0.105445 | + | 0.247633i | ||||
\(388\) | −23.2180 | −1.17872 | ||||||||
\(389\) | −16.5255 | − | 7.95825i | −0.837874 | − | 0.403499i | −0.0348120 | − | 0.999394i | \(-0.511083\pi\) |
−0.803062 | + | 0.595895i | \(0.796798\pi\) | |||||||
\(390\) | −3.44532 | − | 2.34898i | −0.174461 | − | 0.118945i | ||||
\(391\) | −4.40270 | − | 5.52081i | −0.222654 | − | 0.279199i | ||||
\(392\) | −18.2689 | + | 16.9511i | −0.922721 | + | 0.856160i | ||||
\(393\) | 3.10765 | + | 5.38261i | 0.156760 | + | 0.271517i | ||||
\(394\) | −3.19232 | + | 5.52926i | −0.160827 | + | 0.278560i | ||||
\(395\) | −0.436968 | − | 1.91448i | −0.0219862 | − | 0.0963280i | ||||
\(396\) | 1.06587 | + | 2.71580i | 0.0535621 | + | 0.136474i | ||||
\(397\) | 15.2449 | − | 4.70243i | 0.765120 | − | 0.236008i | 0.112457 | − | 0.993657i | \(-0.464128\pi\) |
0.652663 | + | 0.757648i | \(0.273652\pi\) | |||||||
\(398\) | 8.25515 | − | 10.3516i | 0.413793 | − | 0.518881i | ||||
\(399\) | −0.851541 | − | 11.3630i | −0.0426304 | − | 0.568863i | ||||
\(400\) | 1.64587 | + | 0.507683i | 0.0822934 | + | 0.0253841i | ||||
\(401\) | −7.73156 | + | 5.27129i | −0.386096 | + | 0.263236i | −0.740776 | − | 0.671752i | \(-0.765542\pi\) |
0.354680 | + | 0.934988i | \(0.384590\pi\) | |||||||
\(402\) | 7.76425 | − | 1.17027i | 0.387246 | − | 0.0583679i | ||||
\(403\) | −7.77765 | + | 34.0761i | −0.387432 | + | 1.69745i | ||||
\(404\) | 17.8946 | + | 16.6037i | 0.890289 | + | 0.826067i | ||||
\(405\) | −0.804871 | + | 10.7403i | −0.0399943 | + | 0.533687i | ||||
\(406\) | −3.99098 | + | 10.1688i | −0.198069 | + | 0.504671i | ||||
\(407\) | 5.58558 | + | 0.841890i | 0.276867 | + | 0.0417310i | ||||
\(408\) | 18.3193 | − | 8.82210i | 0.906939 | − | 0.436759i | ||||
\(409\) | 21.7308 | − | 10.4650i | 1.07452 | − | 0.517460i | 0.188957 | − | 0.981985i | \(-0.439489\pi\) |
0.885560 | + | 0.464525i | \(0.153775\pi\) | |||||||
\(410\) | 0.673845 | + | 0.101566i | 0.0332788 | + | 0.00501598i | ||||
\(411\) | 10.2091 | − | 26.0125i | 0.503580 | − | 1.28310i | ||||
\(412\) | −2.07985 | + | 27.7537i | −0.102467 | + | 1.36733i | ||||
\(413\) | −35.8048 | − | 33.2220i | −1.76184 | − | 1.63475i | ||||
\(414\) | −0.178145 | + | 0.780504i | −0.00875534 | + | 0.0383597i | ||||
\(415\) | −8.38263 | + | 1.26348i | −0.411487 | + | 0.0620217i | ||||
\(416\) | 15.7285 | − | 10.7235i | 0.771155 | − | 0.525764i | ||||
\(417\) | 26.7098 | + | 8.23888i | 1.30798 | + | 0.403460i | ||||
\(418\) | 0.149451 | + | 1.99429i | 0.00730990 | + | 0.0975438i | ||||
\(419\) | −13.1937 | + | 16.5444i | −0.644556 | + | 0.808248i | −0.991565 | − | 0.129614i | \(-0.958626\pi\) |
0.347008 | + | 0.937862i | \(0.387198\pi\) | |||||||
\(420\) | 12.5542 | − | 3.87247i | 0.612585 | − | 0.188957i | ||||
\(421\) | 7.01224 | + | 17.8669i | 0.341756 | + | 0.870780i | 0.993655 | + | 0.112474i | \(0.0358774\pi\) |
−0.651899 | + | 0.758306i | \(0.726027\pi\) | |||||||
\(422\) | 0.686096 | + | 3.00598i | 0.0333987 | + | 0.146329i | ||||
\(423\) | −0.829224 | + | 1.43626i | −0.0403182 | + | 0.0698332i | ||||
\(424\) | 14.1116 | + | 24.4420i | 0.685319 | + | 1.18701i | ||||
\(425\) | −3.33167 | + | 3.09134i | −0.161610 | + | 0.149952i | ||||
\(426\) | 3.31646 | + | 4.15870i | 0.160683 | + | 0.201490i | ||||
\(427\) | 25.4624 | + | 17.3600i | 1.23221 | + | 0.840108i | ||||
\(428\) | −3.45053 | − | 1.66169i | −0.166788 | − | 0.0803207i | ||||
\(429\) | −14.8232 | −0.715670 | ||||||||
\(430\) | −3.71687 | − | 1.92258i | −0.179244 | − | 0.0927148i | ||||
\(431\) | 23.3355 | 1.12403 | 0.562016 | − | 0.827127i | \(-0.310026\pi\) | ||||
0.562016 | + | 0.827127i | \(0.310026\pi\) | |||||||
\(432\) | −6.63909 | − | 3.19722i | −0.319423 | − | 0.153826i | ||||
\(433\) | 11.2112 | + | 7.64367i | 0.538776 | + | 0.367331i | 0.801926 | − | 0.597424i | \(-0.203809\pi\) |
−0.263150 | + | 0.964755i | \(0.584761\pi\) | |||||||
\(434\) | 17.5555 | + | 22.0139i | 0.842693 | + | 1.05670i | ||||
\(435\) | 5.79222 | − | 5.37439i | 0.277716 | − | 0.257682i | ||||
\(436\) | 1.18529 | + | 2.05298i | 0.0567649 | + | 0.0983197i | ||||
\(437\) | 1.07316 | − | 1.85877i | 0.0513363 | − | 0.0889172i | ||||
\(438\) | 3.56749 | + | 15.6302i | 0.170461 | + | 0.746840i | ||||
\(439\) | 6.52831 | + | 16.6339i | 0.311579 | + | 0.793891i | 0.997787 | + | 0.0664859i | \(0.0211787\pi\) |
−0.686208 | + | 0.727405i | \(0.740726\pi\) | |||||||
\(440\) | −4.97007 | + | 1.53306i | −0.236939 | + | 0.0730860i | ||||
\(441\) | 5.47225 | − | 6.86199i | 0.260583 | − | 0.326761i | ||||
\(442\) | 0.725821 | + | 9.68541i | 0.0345238 | + | 0.460688i | ||||
\(443\) | −28.0929 | − | 8.66552i | −1.33473 | − | 0.411711i | −0.456407 | − | 0.889771i | \(-0.650864\pi\) |
−0.878327 | + | 0.478060i | \(0.841340\pi\) | |||||||
\(444\) | 6.39402 | − | 4.35937i | 0.303447 | − | 0.206886i | ||||
\(445\) | −14.7315 | + | 2.22041i | −0.698339 | + | 0.105258i | ||||
\(446\) | 3.84222 | − | 16.8339i | 0.181934 | − | 0.797107i | ||||
\(447\) | −15.7976 | − | 14.6580i | −0.747201 | − | 0.693301i | ||||
\(448\) | 0.0577803 | − | 0.771025i | 0.00272986 | − | 0.0364275i | ||||
\(449\) | 4.99432 | − | 12.7253i | 0.235697 | − | 0.600546i | −0.763266 | − | 0.646085i | \(-0.776405\pi\) |
0.998963 | + | 0.0455391i | \(0.0145006\pi\) | |||||||
\(450\) | 0.509520 | + | 0.0767978i | 0.0240190 | + | 0.00362029i | ||||
\(451\) | 2.18256 | − | 1.05106i | 0.102773 | − | 0.0494926i | ||||
\(452\) | −15.0788 | + | 7.26158i | −0.709248 | + | 0.341556i | ||||
\(453\) | 13.2058 | + | 1.99045i | 0.620462 | + | 0.0935197i | ||||
\(454\) | 4.61721 | − | 11.7645i | 0.216696 | − | 0.552133i | ||||
\(455\) | −1.05788 | + | 14.1164i | −0.0495942 | + | 0.661788i | ||||
\(456\) | 4.53043 | + | 4.20362i | 0.212157 | + | 0.196853i | ||||
\(457\) | −0.819699 | + | 3.59134i | −0.0383439 | + | 0.167996i | −0.990475 | − | 0.137696i | \(-0.956030\pi\) |
0.952131 | + | 0.305691i | \(0.0988876\pi\) | |||||||
\(458\) | 1.10809 | − | 0.167018i | 0.0517778 | − | 0.00780424i | ||||
\(459\) | 16.0657 | − | 10.9534i | 0.749883 | − | 0.511262i | ||||
\(460\) | 2.36470 | + | 0.729413i | 0.110255 | + | 0.0340091i | ||||
\(461\) | 1.30850 | + | 17.4607i | 0.0609430 | + | 0.813227i | 0.941010 | + | 0.338378i | \(0.109878\pi\) |
−0.880067 | + | 0.474849i | \(0.842503\pi\) | |||||||
\(462\) | −7.44523 | + | 9.33602i | −0.346383 | + | 0.434351i | ||||
\(463\) | −1.89082 | + | 0.583240i | −0.0878738 | + | 0.0271055i | −0.338380 | − | 0.941009i | \(-0.609879\pi\) |
0.250507 | + | 0.968115i | \(0.419403\pi\) | |||||||
\(464\) | 2.54814 | + | 6.49255i | 0.118294 | + | 0.301409i | ||||
\(465\) | −4.53195 | − | 19.8558i | −0.210164 | − | 0.920789i | ||||
\(466\) | 4.11367 | − | 7.12508i | 0.190562 | − | 0.330063i | ||||
\(467\) | 2.54596 | + | 4.40974i | 0.117813 | + | 0.204058i | 0.918901 | − | 0.394489i | \(-0.129078\pi\) |
−0.801088 | + | 0.598547i | \(0.795745\pi\) | |||||||
\(468\) | −3.15702 | + | 2.92929i | −0.145933 | + | 0.135406i | ||||
\(469\) | −16.6197 | − | 20.8405i | −0.767428 | − | 0.962324i | ||||
\(470\) | −1.08298 | − | 0.738365i | −0.0499542 | − | 0.0340582i | ||||
\(471\) | 8.39621 | + | 4.04340i | 0.386877 | + | 0.186310i | ||||
\(472\) | 26.4911 | 1.21935 | ||||||||
\(473\) | −14.7669 | + | 1.79619i | −0.678983 | + | 0.0825890i | ||||
\(474\) | 2.44524 | 0.112314 | ||||||||
\(475\) | −1.24464 | − | 0.599385i | −0.0571078 | − | 0.0275017i | ||||
\(476\) | −25.2838 | − | 17.2382i | −1.15888 | − | 0.790112i | ||||
\(477\) | −6.19716 | − | 7.77100i | −0.283749 | − | 0.355810i | ||||
\(478\) | −4.54851 | + | 4.22040i | −0.208044 | + | 0.193037i | ||||
\(479\) | −9.96590 | − | 17.2614i | −0.455354 | − | 0.788696i | 0.543355 | − | 0.839503i | \(-0.317154\pi\) |
−0.998708 | + | 0.0508076i | \(0.983820\pi\) | |||||||
\(480\) | −5.54612 | + | 9.60616i | −0.253144 | + | 0.438459i | ||||
\(481\) | 1.85547 | + | 8.12933i | 0.0846020 | + | 0.370665i | ||||
\(482\) | 3.69095 | + | 9.40440i | 0.168118 | + | 0.428359i | ||||
\(483\) | 12.2463 | − | 3.77748i | 0.557225 | − | 0.171881i | ||||
\(484\) | 5.81320 | − | 7.28952i | 0.264236 | − | 0.331342i | ||||
\(485\) | 1.08936 | + | 14.5365i | 0.0494653 | + | 0.660068i | ||||
\(486\) | −4.98886 | − | 1.53886i | −0.226299 | − | 0.0698041i | ||||
\(487\) | 12.4775 | − | 8.50699i | 0.565408 | − | 0.385488i | −0.246616 | − | 0.969113i | \(-0.579319\pi\) |
0.812023 | + | 0.583625i | \(0.198366\pi\) | |||||||
\(488\) | −16.5276 | + | 2.49114i | −0.748170 | + | 0.112768i | ||||
\(489\) | 0.806822 | − | 3.53492i | 0.0364858 | − | 0.159855i | ||||
\(490\) | 5.08494 | + | 4.71813i | 0.229714 | + | 0.213143i | ||||
\(491\) | 2.62743 | − | 35.0606i | 0.118574 | − | 1.58226i | −0.547776 | − | 0.836625i | \(-0.684526\pi\) |
0.666351 | − | 0.745639i | \(-0.267855\pi\) | |||||||
\(492\) | 1.21248 | − | 3.08936i | 0.0546630 | − | 0.139279i | ||||
\(493\) | −18.1988 | − | 2.74303i | −0.819632 | − | 0.123540i | ||||
\(494\) | −2.65980 | + | 1.28089i | −0.119670 | + | 0.0576302i | ||||
\(495\) | 1.65031 | − | 0.794750i | 0.0741761 | − | 0.0357213i | ||||
\(496\) | 17.7767 | + | 2.67940i | 0.798196 | + | 0.120309i | ||||
\(497\) | 6.59721 | − | 16.8094i | 0.295925 | − | 0.754005i | ||||
\(498\) | 0.788856 | − | 10.5265i | 0.0353495 | − | 0.471706i | ||||
\(499\) | 5.65827 | + | 5.25011i | 0.253299 | + | 0.235027i | 0.796594 | − | 0.604515i | \(-0.206633\pi\) |
−0.543295 | + | 0.839542i | \(0.682823\pi\) | |||||||
\(500\) | 0.354422 | − | 1.55282i | 0.0158502 | − | 0.0694444i | ||||
\(501\) | 15.0768 | − | 2.27246i | 0.673580 | − | 0.101526i | ||||
\(502\) | −16.5286 | + | 11.2690i | −0.737708 | + | 0.502961i | ||||
\(503\) | 34.8749 | + | 10.7575i | 1.55499 | + | 0.479652i | 0.948856 | − | 0.315709i | \(-0.102242\pi\) |
0.606137 | + | 0.795361i | \(0.292718\pi\) | |||||||
\(504\) | 0.584822 | + | 7.80390i | 0.0260500 | + | 0.347614i | ||||
\(505\) | 9.55579 | − | 11.9826i | 0.425227 | − | 0.533218i | ||||
\(506\) | −2.14930 | + | 0.662972i | −0.0955482 | + | 0.0294727i | ||||
\(507\) | 1.27320 | + | 3.24406i | 0.0565448 | + | 0.144074i | ||||
\(508\) | 1.09271 | + | 4.78747i | 0.0484811 | + | 0.212410i | ||||
\(509\) | −11.8782 | + | 20.5737i | −0.526493 | + | 0.911913i | 0.473030 | + | 0.881046i | \(0.343160\pi\) |
−0.999523 | + | 0.0308672i | \(0.990173\pi\) | |||||||
\(510\) | −2.82970 | − | 4.90119i | −0.125301 | − | 0.217028i | ||||
\(511\) | 39.8973 | − | 37.0193i | 1.76495 | − | 1.63764i | ||||
\(512\) | −11.0290 | − | 13.8299i | −0.487417 | − | 0.611201i | ||||
\(513\) | 4.88321 | + | 3.32932i | 0.215599 | + | 0.146993i | ||||
\(514\) | −14.6724 | − | 7.06585i | −0.647171 | − | 0.311661i | ||||
\(515\) | 17.4738 | 0.769987 | ||||||||
\(516\) | −13.1564 | + | 15.5643i | −0.579178 | + | 0.685179i | ||||
\(517\) | −4.65943 | −0.204922 | ||||||||
\(518\) | 6.05200 | + | 2.91449i | 0.265910 | + | 0.128055i | ||||
\(519\) | 3.91603 | + | 2.66991i | 0.171895 | + | 0.117196i | ||||
\(520\) | −4.78701 | − | 6.00272i | −0.209924 | − | 0.263237i | ||||
\(521\) | 14.1626 | − | 13.1410i | 0.620477 | − | 0.575718i | −0.306018 | − | 0.952026i | \(-0.598997\pi\) |
0.926495 | + | 0.376308i | \(0.122806\pi\) | |||||||
\(522\) | 1.04329 | + | 1.80702i | 0.0456634 | + | 0.0790912i | ||||
\(523\) | −18.5326 | + | 32.0994i | −0.810374 | + | 1.40361i | 0.102229 | + | 0.994761i | \(0.467403\pi\) |
−0.912603 | + | 0.408848i | \(0.865931\pi\) | |||||||
\(524\) | 1.12893 | + | 4.94615i | 0.0493174 | + | 0.216074i | ||||
\(525\) | −3.01353 | − | 7.67835i | −0.131521 | − | 0.335111i | ||||
\(526\) | 3.78118 | − | 1.16634i | 0.164867 | − | 0.0508548i | ||||
\(527\) | −29.5770 | + | 37.0883i | −1.28839 | + | 1.61559i | ||||
\(528\) | 0.569755 | + | 7.60285i | 0.0247954 | + | 0.330871i | ||||
\(529\) | −19.6715 | − | 6.06785i | −0.855282 | − | 0.263820i | ||||
\(530\) | 6.49058 | − | 4.42520i | 0.281933 | − | 0.192218i | ||||
\(531\) | −9.22530 | + | 1.39049i | −0.400344 | + | 0.0603421i | ||||
\(532\) | 2.06973 | − | 9.06808i | 0.0897342 | − | 0.393151i | ||||
\(533\) | 2.62136 | + | 2.43226i | 0.113544 | + | 0.105353i | ||||
\(534\) | 1.38632 | − | 18.4991i | 0.0599919 | − | 0.800536i | ||||
\(535\) | −0.878466 | + | 2.23829i | −0.0379794 | + | 0.0967699i | ||||
\(536\) | 14.2959 | + | 2.15476i | 0.617488 | + | 0.0930713i | ||||
\(537\) | −9.03418 | + | 4.35063i | −0.389853 | + | 0.187744i | ||||
\(538\) | 10.0410 | − | 4.83550i | 0.432899 | − | 0.208473i | ||||
\(539\) | 24.3832 | + | 3.67517i | 1.05026 | + | 0.158301i | ||||
\(540\) | −2.48952 | + | 6.34319i | −0.107132 | + | 0.272967i | ||||
\(541\) | 0.842344 | − | 11.2403i | 0.0362152 | − | 0.483258i | −0.949379 | − | 0.314132i | \(-0.898286\pi\) |
0.985594 | − | 0.169126i | \(-0.0540945\pi\) | |||||||
\(542\) | 0.232629 | + | 0.215848i | 0.00999226 | + | 0.00927146i | ||||
\(543\) | −3.37476 | + | 14.7858i | −0.144825 | + | 0.634519i | ||||
\(544\) | 25.5477 | − | 3.85069i | 1.09535 | − | 0.165097i | ||||
\(545\) | 1.22973 | − | 0.838415i | 0.0526758 | − | 0.0359137i | ||||
\(546\) | −16.8441 | − | 5.19572i | −0.720862 | − | 0.222356i | ||||
\(547\) | 1.77716 | + | 23.7145i | 0.0759857 | + | 1.01396i | 0.896705 | + | 0.442628i | \(0.145954\pi\) |
−0.820720 | + | 0.571331i | \(0.806427\pi\) | |||||||
\(548\) | 14.2217 | − | 17.8335i | 0.607522 | − | 0.761809i | ||||
\(549\) | 5.62483 | − | 1.73503i | 0.240062 | − | 0.0740494i | ||||
\(550\) | 0.528895 | + | 1.34760i | 0.0225522 | + | 0.0574620i | ||||
\(551\) | −1.24479 | − | 5.45379i | −0.0530300 | − | 0.232339i | ||||
\(552\) | −3.47540 | + | 6.01956i | −0.147923 | + | 0.256210i | ||||
\(553\) | −4.15058 | − | 7.18902i | −0.176501 | − | 0.305708i | ||||
\(554\) | 7.88427 | − | 7.31553i | 0.334970 | − | 0.310807i | ||||
\(555\) | −3.02934 | − | 3.79867i | −0.128588 | − | 0.161245i | ||||
\(556\) | 18.8515 | + | 12.8527i | 0.799480 | + | 0.545076i | ||||
\(557\) | −3.26458 | − | 1.57214i | −0.138325 | − | 0.0666137i | 0.363441 | − | 0.931617i | \(-0.381602\pi\) |
−0.501766 | + | 0.865003i | \(0.667316\pi\) | |||||||
\(558\) | 5.37820 | 0.227677 | ||||||||
\(559\) | −10.4321 | − | 19.3229i | −0.441229 | − | 0.817271i | ||||
\(560\) | 7.28101 | 0.307679 | ||||||||
\(561\) | −18.1258 | − | 8.72894i | −0.765273 | − | 0.368536i | ||||
\(562\) | −14.0586 | − | 9.58499i | −0.593026 | − | 0.404318i | ||||
\(563\) | 2.98878 | + | 3.74781i | 0.125962 | + | 0.157951i | 0.840813 | − | 0.541325i | \(-0.182077\pi\) |
−0.714851 | + | 0.699276i | \(0.753506\pi\) | |||||||
\(564\) | −4.67940 | + | 4.34185i | −0.197038 | + | 0.182825i | ||||
\(565\) | 5.25386 | + | 9.09995i | 0.221031 | + | 0.382838i | ||||
\(566\) | 1.56020 | − | 2.70235i | 0.0655802 | − | 0.113588i | ||||
\(567\) | 10.1312 | + | 44.3878i | 0.425471 | + | 1.86411i | ||||
\(568\) | 3.57811 | + | 9.11689i | 0.150134 | + | 0.382536i | ||||
\(569\) | −6.89962 | + | 2.12825i | −0.289247 | + | 0.0892210i | −0.435983 | − | 0.899955i | \(-0.643599\pi\) |
0.146736 | + | 0.989176i | \(0.453123\pi\) | |||||||
\(570\) | 1.07252 | − | 1.34490i | 0.0449230 | − | 0.0563316i | ||||
\(571\) | 0.793411 | + | 10.5873i | 0.0332032 | + | 0.443066i | 0.988887 | + | 0.148670i | \(0.0474993\pi\) |
−0.955684 | + | 0.294396i | \(0.904882\pi\) | |||||||
\(572\) | −11.5621 | − | 3.56645i | −0.483437 | − | 0.149121i | ||||
\(573\) | 12.1682 | − | 8.29616i | 0.508335 | − | 0.346577i | ||||
\(574\) | 2.84853 | − | 0.429347i | 0.118895 | − | 0.0179206i | ||||
\(575\) | 0.345727 | − | 1.51473i | 0.0144178 | − | 0.0631686i | ||||
\(576\) | −0.108261 | − | 0.100451i | −0.00451087 | − | 0.00418547i | ||||
\(577\) | 1.33289 | − | 17.7862i | 0.0554889 | − | 0.740448i | −0.898187 | − | 0.439613i | \(-0.855116\pi\) |
0.953676 | − | 0.300835i | \(-0.0972653\pi\) | |||||||
\(578\) | −0.852462 | + | 2.17204i | −0.0354578 | + | 0.0903449i | ||||
\(579\) | −52.9668 | − | 7.98345i | −2.20122 | − | 0.331781i | ||||
\(580\) | 5.81103 | − | 2.79844i | 0.241290 | − | 0.116199i | ||||
\(581\) | −32.2871 | + | 15.5486i | −1.33949 | + | 0.645066i | ||||
\(582\) | −17.9490 | − | 2.70538i | −0.744012 | − | 0.112142i | ||||
\(583\) | 10.2022 | − | 25.9948i | 0.422532 | − | 1.07659i | ||||
\(584\) | −2.20597 | + | 29.4366i | −0.0912835 | + | 1.21809i | ||||
\(585\) | 1.98211 | + | 1.83913i | 0.0819502 | + | 0.0760386i | ||||
\(586\) | 1.72325 | − | 7.55006i | 0.0711868 | − | 0.311890i | ||||
\(587\) | 13.5748 | − | 2.04607i | 0.560290 | − | 0.0844502i | 0.137209 | − | 0.990542i | \(-0.456187\pi\) |
0.423081 | + | 0.906092i | \(0.360949\pi\) | |||||||
\(588\) | 27.9123 | − | 19.0303i | 1.15108 | − | 0.784796i | ||||
\(589\) | −13.7782 | − | 4.25003i | −0.567723 | − | 0.175119i | ||||
\(590\) | −0.551021 | − | 7.35286i | −0.0226852 | − | 0.302713i | ||||
\(591\) | 12.1718 | − | 15.2630i | 0.500682 | − | 0.627835i | ||||
\(592\) | 4.09823 | − | 1.26414i | 0.168436 | − | 0.0519557i | ||||
\(593\) | 5.48977 | + | 13.9877i | 0.225438 | + | 0.574406i | 0.998179 | − | 0.0603144i | \(-0.0192103\pi\) |
−0.772742 | + | 0.634721i | \(0.781115\pi\) | |||||||
\(594\) | −1.37819 | − | 6.03825i | −0.0565479 | − | 0.247752i | ||||
\(595\) | −9.60633 | + | 16.6387i | −0.393821 | + | 0.682118i | ||||
\(596\) | −8.79547 | − | 15.2342i | −0.360276 | − | 0.624017i | ||||
\(597\) | −29.6770 | + | 27.5363i | −1.21460 | + | 1.12698i | ||||
\(598\) | −2.07014 | − | 2.59587i | −0.0846542 | − | 0.106153i | ||||
\(599\) | −11.4846 | − | 7.83006i | −0.469247 | − | 0.319928i | 0.305507 | − | 0.952190i | \(-0.401174\pi\) |
−0.774754 | + | 0.632262i | \(0.782126\pi\) | |||||||
\(600\) | 4.03071 | + | 1.94109i | 0.164553 | + | 0.0792445i | ||||
\(601\) | 31.9242 | 1.30221 | 0.651107 | − | 0.758986i | \(-0.274305\pi\) | ||||
0.651107 | + | 0.758986i | \(0.274305\pi\) | |||||||
\(602\) | −17.4098 | − | 3.13492i | −0.709569 | − | 0.127770i | ||||
\(603\) | −5.09151 | −0.207342 | ||||||||
\(604\) | 9.82167 | + | 4.72986i | 0.399638 | + | 0.192455i | ||||
\(605\) | −4.83662 | − | 3.29755i | −0.196636 | − | 0.134064i | ||||
\(606\) | 11.8990 | + | 14.9209i | 0.483364 | + | 0.606119i | ||||
\(607\) | 1.13719 | − | 1.05516i | 0.0461571 | − | 0.0428275i | −0.656757 | − | 0.754102i | \(-0.728072\pi\) |
0.702914 | + | 0.711275i | \(0.251882\pi\) | |||||||
\(608\) | 3.92650 | + | 6.80089i | 0.159240 | + | 0.275813i | ||||
\(609\) | 16.7009 | − | 28.9269i | 0.676756 | − | 1.17218i | ||||
\(610\) | 1.03522 | + | 4.53558i | 0.0419147 | + | 0.183640i | ||||
\(611\) | −2.51286 | − | 6.40265i | −0.101659 | − | 0.259024i | ||||
\(612\) | −5.58538 | + | 1.72286i | −0.225776 | + | 0.0696426i | ||||
\(613\) | −6.11191 | + | 7.66409i | −0.246858 | + | 0.309550i | −0.889787 | − | 0.456376i | \(-0.849147\pi\) |
0.642930 | + | 0.765925i | \(0.277719\pi\) | |||||||
\(614\) | −0.876840 | − | 11.7006i | −0.0353864 | − | 0.472199i | ||||
\(615\) | −1.99109 | − | 0.614171i | −0.0802887 | − | 0.0247658i | ||||
\(616\) | −18.1662 | + | 12.3855i | −0.731939 | + | 0.499027i | ||||
\(617\) | −27.7294 | + | 4.17954i | −1.11635 | + | 0.168262i | −0.681199 | − | 0.732098i | \(-0.738541\pi\) |
−0.435146 | + | 0.900360i | \(0.643303\pi\) | |||||||
\(618\) | −4.84174 | + | 21.2131i | −0.194763 | + | 0.853314i | ||||
\(619\) | −36.1756 | − | 33.5660i | −1.45402 | − | 1.34913i | −0.814161 | − | 0.580639i | \(-0.802803\pi\) |
−0.639858 | − | 0.768493i | \(-0.721007\pi\) | |||||||
\(620\) | 1.24235 | − | 16.5779i | 0.0498938 | − | 0.665786i | ||||
\(621\) | −2.42845 | + | 6.18758i | −0.0974502 | + | 0.248299i | ||||
\(622\) | −12.0122 | − | 1.81055i | −0.481645 | − | 0.0725964i | ||||
\(623\) | −56.7407 | + | 27.3249i | −2.27327 | + | 1.09475i | ||||
\(624\) | −10.1400 | + | 4.88317i | −0.405925 | + | 0.195483i | ||||
\(625\) | −0.988831 | − | 0.149042i | −0.0395532 | − | 0.00596169i | ||||
\(626\) | −7.00234 | + | 17.8417i | −0.279870 | + | 0.713097i | ||||
\(627\) | 0.456972 | − | 6.09787i | 0.0182497 | − | 0.243525i | ||||
\(628\) | 5.57624 | + | 5.17399i | 0.222516 | + | 0.206465i | ||||
\(629\) | −2.51825 | + | 11.0332i | −0.100409 | + | 0.439922i | ||||
\(630\) | 2.15388 | − | 0.324646i | 0.0858128 | − | 0.0129342i | ||||
\(631\) | −6.48535 | + | 4.42164i | −0.258178 | + | 0.176023i | −0.685491 | − | 0.728081i | \(-0.740412\pi\) |
0.427313 | + | 0.904104i | \(0.359460\pi\) | |||||||
\(632\) | 4.30226 | + | 1.32707i | 0.171135 | + | 0.0527881i | ||||
\(633\) | −0.704530 | − | 9.40131i | −0.0280026 | − | 0.373668i | ||||
\(634\) | −0.101744 | + | 0.127583i | −0.00404076 | + | 0.00506695i | ||||
\(635\) | 2.94610 | − | 0.908753i | 0.116913 | − | 0.0360628i | ||||
\(636\) | −13.9771 | − | 35.6130i | −0.554226 | − | 1.41215i | ||||
\(637\) | 8.09982 | + | 35.4876i | 0.320926 | + | 1.40607i | ||||
\(638\) | −2.93113 | + | 5.07686i | −0.116044 | + | 0.200995i | ||||
\(639\) | −1.72458 | − | 2.98706i | −0.0682234 | − | 0.118166i | ||||
\(640\) | −8.24870 | + | 7.65367i | −0.326058 | + | 0.302538i | ||||
\(641\) | 23.3650 | + | 29.2988i | 0.922861 | + | 1.15723i | 0.987229 | + | 0.159305i | \(0.0509253\pi\) |
−0.0643684 | + | 0.997926i | \(0.520503\pi\) | |||||||
\(642\) | −2.47386 | − | 1.68665i | −0.0976356 | − | 0.0665668i | ||||
\(643\) | 35.4614 | + | 17.0773i | 1.39846 | + | 0.673463i | 0.972848 | − | 0.231444i | \(-0.0743449\pi\) |
0.425611 | + | 0.904906i | \(0.360059\pi\) | |||||||
\(644\) | 10.4610 | 0.412221 | ||||||||
\(645\) | 10.3619 | + | 7.50679i | 0.407998 | + | 0.295580i | ||||
\(646\) | −4.00670 | −0.157641 | ||||||||
\(647\) | 21.6629 | + | 10.4323i | 0.851656 | + | 0.410136i | 0.808192 | − | 0.588919i | \(-0.200446\pi\) |
0.0434637 | + | 0.999055i | \(0.486161\pi\) | |||||||
\(648\) | −20.4028 | − | 13.9104i | −0.801499 | − | 0.546453i | ||||
\(649\) | −16.3425 | − | 20.4929i | −0.641501 | − | 0.804416i | ||||
\(650\) | −1.56654 | + | 1.45354i | −0.0614448 | + | 0.0570124i | ||||
\(651\) | −43.0472 | − | 74.5599i | −1.68715 | − | 2.92223i | ||||
\(652\) | 1.47982 | − | 2.56313i | 0.0579543 | − | 0.100380i | ||||
\(653\) | 3.51134 | + | 15.3842i | 0.137409 | + | 0.602030i | 0.995999 | + | 0.0893660i | \(0.0284841\pi\) |
−0.858589 | + | 0.512664i | \(0.828659\pi\) | |||||||
\(654\) | 0.677089 | + | 1.72519i | 0.0264763 | + | 0.0674605i | ||||
\(655\) | 3.04375 | − | 0.938873i | 0.118929 | − | 0.0366848i | ||||
\(656\) | 1.14676 | − | 1.43799i | 0.0447734 | − | 0.0561440i | ||||
\(657\) | −0.776885 | − | 10.3668i | −0.0303092 | − | 0.404448i | ||||
\(658\) | −5.29468 | − | 1.63319i | −0.206408 | − | 0.0636685i | ||||
\(659\) | 4.03406 | − | 2.75038i | 0.157145 | − | 0.107139i | −0.482195 | − | 0.876064i | \(-0.660160\pi\) |
0.639339 | + | 0.768925i | \(0.279208\pi\) | |||||||
\(660\) | 6.97160 | − | 1.05080i | 0.271369 | − | 0.0409023i | ||||
\(661\) | 1.49842 | − | 6.56502i | 0.0582819 | − | 0.255350i | −0.937391 | − | 0.348279i | \(-0.886766\pi\) |
0.995673 | + | 0.0929297i | \(0.0296232\pi\) | |||||||
\(662\) | −16.5479 | − | 15.3542i | −0.643152 | − | 0.596758i | ||||
\(663\) | 2.21932 | − | 29.6147i | 0.0861912 | − | 1.15014i | ||||
\(664\) | 7.10087 | − | 18.0927i | 0.275567 | − | 0.702134i | ||||
\(665\) | −5.77451 | − | 0.870368i | −0.223926 | − | 0.0337514i | ||||
\(666\) | 1.15598 | − | 0.556692i | 0.0447934 | − | 0.0215714i | ||||
\(667\) | 5.66847 | − | 2.72979i | 0.219484 | − | 0.105698i | ||||
\(668\) | 12.3067 | + | 1.85493i | 0.476159 | + | 0.0717695i | ||||
\(669\) | −19.2886 | + | 49.1465i | −0.745739 | + | 1.90011i | ||||
\(670\) | 0.300716 | − | 4.01278i | 0.0116177 | − | 0.155027i | ||||
\(671\) | 12.1231 | + | 11.2486i | 0.468006 | + | 0.434246i | ||||
\(672\) | −10.4340 | + | 45.7143i | −0.402500 | + | 1.76347i | ||||
\(673\) | −3.36412 | + | 0.507059i | −0.129677 | + | 0.0195457i | −0.213560 | − | 0.976930i | \(-0.568506\pi\) |
0.0838829 | + | 0.996476i | \(0.473268\pi\) | |||||||
\(674\) | −0.748135 | + | 0.510070i | −0.0288171 | + | 0.0196472i | ||||
\(675\) | 4.08819 | + | 1.26104i | 0.157355 | + | 0.0485374i | ||||
\(676\) | 0.212582 | + | 2.83671i | 0.00817623 | + | 0.109104i | ||||
\(677\) | −13.1617 | + | 16.5043i | −0.505847 | + | 0.634311i | −0.967537 | − | 0.252730i | \(-0.918672\pi\) |
0.461690 | + | 0.887041i | \(0.347243\pi\) | |||||||
\(678\) | −12.5030 | + | 3.85668i | −0.480176 | + | 0.148115i | ||||
\(679\) | 22.5131 | + | 57.3624i | 0.863973 | + | 2.20137i | ||||
\(680\) | −2.31874 | − | 10.1591i | −0.0889197 | − | 0.389583i | ||||
\(681\) | −19.3215 | + | 33.4658i | −0.740402 | + | 1.28241i | ||||
\(682\) | 7.55507 | + | 13.0858i | 0.289299 | + | 0.501080i | ||||
\(683\) | −9.10987 | + | 8.45272i | −0.348579 | + | 0.323434i | −0.834958 | − | 0.550314i | \(-0.814508\pi\) |
0.486379 | + | 0.873748i | \(0.338318\pi\) | |||||||
\(684\) | −1.10771 | − | 1.38902i | −0.0423542 | − | 0.0531105i | ||||
\(685\) | −11.8326 | − | 8.06731i | −0.452099 | − | 0.308236i | ||||
\(686\) | 9.40574 | + | 4.52956i | 0.359113 | + | 0.172940i | ||||
\(687\) | −3.42645 | −0.130727 | ||||||||
\(688\) | −9.50979 | + | 6.09334i | −0.362557 | + | 0.232306i | ||||
\(689\) | 41.2222 | 1.57044 | ||||||||
\(690\) | 1.74308 | + | 0.839421i | 0.0663578 | + | 0.0319562i | ||||
\(691\) | −8.01479 | − | 5.46439i | −0.304897 | − | 0.207875i | 0.401200 | − | 0.915991i | \(-0.368593\pi\) |
−0.706097 | + | 0.708115i | \(0.749546\pi\) | |||||||
\(692\) | 2.41214 | + | 3.02473i | 0.0916959 | + | 0.114983i | ||||
\(693\) | 5.67613 | − | 5.26668i | 0.215618 | − | 0.200065i | ||||
\(694\) | 6.82985 | + | 11.8296i | 0.259257 | + | 0.449047i | ||||
\(695\) | 7.16242 | − | 12.4057i | 0.271686 | − | 0.470574i | ||||
\(696\) | 4.03121 | + | 17.6619i | 0.152803 | + | 0.669473i | ||||
\(697\) | 1.77311 | + | 4.51782i | 0.0671615 | + | 0.171125i | ||||
\(698\) | −18.6491 | + | 5.75248i | −0.705879 | + | 0.217735i | ||||
\(699\) | −15.6848 | + | 19.6681i | −0.593253 | + | 0.743916i | ||||
\(700\) | −0.503159 | − | 6.71420i | −0.0190176 | − | 0.253773i | ||||
\(701\) | −6.86897 | − | 2.11880i | −0.259437 | − | 0.0800258i | 0.162308 | − | 0.986740i | \(-0.448106\pi\) |
−0.421745 | + | 0.906714i | \(0.638582\pi\) | |||||||
\(702\) | 7.55405 | − | 5.15027i | 0.285109 | − | 0.194384i | ||||
\(703\) | −3.40139 | + | 0.512677i | −0.128286 | + | 0.0193360i | ||||
\(704\) | 0.0923292 | − | 0.404521i | 0.00347979 | − | 0.0152459i | ||||
\(705\) | 2.93792 | + | 2.72599i | 0.110649 | + | 0.102667i | ||||
\(706\) | 0.895030 | − | 11.9433i | 0.0336849 | − | 0.449494i | ||||
\(707\) | 23.6699 | − | 60.3099i | 0.890198 | − | 2.26819i | ||||
\(708\) | −35.5086 | − | 5.35207i | −1.33450 | − | 0.201143i | ||||
\(709\) | −3.45137 | + | 1.66209i | −0.129619 | + | 0.0624212i | −0.497569 | − | 0.867424i | \(-0.665774\pi\) |
0.367950 | + | 0.929845i | \(0.380060\pi\) | |||||||
\(710\) | 2.45605 | − | 1.18277i | 0.0921740 | − | 0.0443887i | ||||
\(711\) | −1.56788 | − | 0.236320i | −0.0588002 | − | 0.00886270i | ||||
\(712\) | 12.4789 | − | 31.7958i | 0.467667 | − | 1.19160i | ||||
\(713\) | 1.21187 | − | 16.1713i | 0.0453848 | − | 0.605619i | ||||
\(714\) | −17.5374 | − | 16.2724i | −0.656322 | − | 0.608978i | ||||
\(715\) | −1.69042 | + | 7.40623i | −0.0632182 | + | 0.276977i | ||||
\(716\) | −8.09345 | + | 1.21989i | −0.302466 | + | 0.0455895i | ||||
\(717\) | 15.6758 | − | 10.6876i | 0.585424 | − | 0.399135i | ||||
\(718\) | 21.7175 | + | 6.69896i | 0.810490 | + | 0.250003i | ||||
\(719\) | 2.95232 | + | 39.3960i | 0.110103 | + | 1.46922i | 0.729411 | + | 0.684076i | \(0.239794\pi\) |
−0.619308 | + | 0.785148i | \(0.712587\pi\) | |||||||
\(720\) | 0.867108 | − | 1.08732i | 0.0323152 | − | 0.0405220i | ||||
\(721\) | 70.5849 | − | 21.7725i | 2.62872 | − | 0.810852i | ||||
\(722\) | 3.98482 | + | 10.1531i | 0.148300 | + | 0.377861i | ||||
\(723\) | −6.87387 | − | 30.1164i | −0.255642 | − | 1.12004i | ||||
\(724\) | −6.18978 | + | 10.7210i | −0.230041 | + | 0.398443i | ||||
\(725\) | −2.02471 | − | 3.50691i | −0.0751960 | − | 0.130243i | ||||
\(726\) | 5.34336 | − | 4.95791i | 0.198311 | − | 0.184005i | ||||
\(727\) | 22.0917 | + | 27.7021i | 0.819335 | + | 1.02741i | 0.999045 | + | 0.0436940i | \(0.0139127\pi\) |
−0.179710 | + | 0.983720i | \(0.557516\pi\) | |||||||
\(728\) | −26.8164 | − | 18.2831i | −0.993883 | − | 0.677618i | ||||
\(729\) | −14.7287 | − | 7.09297i | −0.545507 | − | 0.262703i | ||||
\(730\) | 8.21628 | 0.304098 | ||||||||
\(731\) | −1.37766 | − | 29.7712i | −0.0509546 | − | 1.10113i | ||||
\(732\) | 22.6569 | 0.837421 | ||||||||
\(733\) | −15.3989 | − | 7.41572i | −0.568771 | − | 0.273906i | 0.127317 | − | 0.991862i | \(-0.459363\pi\) |
−0.696088 | + | 0.717956i | \(0.745078\pi\) | |||||||
\(734\) | −12.8340 | − | 8.75005i | −0.473710 | − | 0.322970i | ||||
\(735\) | −13.2242 | − | 16.5827i | −0.487783 | − | 0.611660i | ||||
\(736\) | −6.47440 | + | 6.00737i | −0.238650 | + | 0.221435i | ||||
\(737\) | −7.15234 | − | 12.3882i | −0.263460 | − | 0.456326i | ||||
\(738\) | 0.275119 | − | 0.476520i | 0.0101273 | − | 0.0175410i | ||||
\(739\) | −0.622506 | − | 2.72738i | −0.0228993 | − | 0.100328i | 0.962187 | − | 0.272390i | \(-0.0878142\pi\) |
−0.985086 | + | 0.172062i | \(0.944957\pi\) | |||||||
\(740\) | −1.44894 | − | 3.69183i | −0.0532640 | − | 0.135714i | ||||
\(741\) | 8.62569 | − | 2.66067i | 0.316873 | − | 0.0977422i | ||||
\(742\) | 20.7046 | − | 25.9628i | 0.760091 | − | 0.953124i | ||||
\(743\) | 0.525529 | + | 7.01269i | 0.0192798 | + | 0.257271i | 0.998512 | + | 0.0545297i | \(0.0173659\pi\) |
−0.979232 | + | 0.202741i | \(0.935015\pi\) | |||||||
\(744\) | 44.6203 | + | 13.7635i | 1.63586 | + | 0.504596i | ||||
\(745\) | −9.12526 | + | 6.22150i | −0.334324 | + | 0.227938i | ||||
\(746\) | 14.4735 | − | 2.18153i | 0.529914 | − | 0.0798716i | ||||
\(747\) | −1.52315 | + | 6.67335i | −0.0557291 | + | 0.244165i | ||||
\(748\) | −12.0380 | − | 11.1697i | −0.440154 | − | 0.408403i | ||||
\(749\) | −0.759596 | + | 10.1361i | −0.0277550 | + | 0.370365i | ||||
\(750\) | 0.454927 | − | 1.15914i | 0.0166116 | − | 0.0423257i | ||||
\(751\) | −42.6756 | − | 6.43231i | −1.55725 | − | 0.234718i | −0.686755 | − | 0.726889i | \(-0.740966\pi\) |
−0.870499 | + | 0.492170i | \(0.836204\pi\) | |||||||
\(752\) | −3.18735 | + | 1.53495i | −0.116231 | + | 0.0559738i | ||||
\(753\) | 55.1100 | − | 26.5396i | 2.00832 | − | 0.967156i | ||||
\(754\) | −8.55702 | − | 1.28976i | −0.311628 | − | 0.0469704i | ||||
\(755\) | 2.50049 | − | 6.37113i | 0.0910020 | − | 0.231869i | ||||
\(756\) | −2.15265 | + | 28.7251i | −0.0782910 | + | 1.04472i | ||||
\(757\) | −0.645805 | − | 0.599219i | −0.0234722 | − | 0.0217790i | 0.668349 | − | 0.743847i | \(-0.267001\pi\) |
−0.691822 | + | 0.722068i | \(0.743192\pi\) | |||||||
\(758\) | −0.295987 | + | 1.29680i | −0.0107507 | + | 0.0471020i | ||||
\(759\) | 6.80058 | − | 1.02502i | 0.246845 | − | 0.0372060i | ||||
\(760\) | 2.61694 | − | 1.78420i | 0.0949262 | − | 0.0647196i | ||||
\(761\) | 30.5157 | + | 9.41285i | 1.10619 | + | 0.341215i | 0.793458 | − | 0.608625i | \(-0.208279\pi\) |
0.312735 | + | 0.949840i | \(0.398755\pi\) | |||||||
\(762\) | 0.286895 | + | 3.82835i | 0.0103931 | + | 0.138687i | ||||
\(763\) | 3.92278 | − | 4.91901i | 0.142014 | − | 0.178080i | ||||
\(764\) | 11.4873 | − | 3.54337i | 0.415596 | − | 0.128194i | ||||
\(765\) | 1.34072 | + | 3.41610i | 0.0484738 | + | 0.123509i | ||||
\(766\) | −2.38416 | − | 10.4457i | −0.0861433 | − | 0.377418i | ||||
\(767\) | 19.3462 | − | 33.5086i | 0.698551 | − | 1.20993i | ||||
\(768\) | −7.36280 | − | 12.7527i | −0.265682 | − | 0.460175i | ||||
\(769\) | 19.5414 | − | 18.1318i | 0.704681 | − | 0.653848i | −0.244112 | − | 0.969747i | \(-0.578497\pi\) |
0.948793 | + | 0.315899i | \(0.102306\pi\) | |||||||
\(770\) | 3.81558 | + | 4.78459i | 0.137504 | + | 0.172425i | ||||
\(771\) | 41.1421 | + | 28.0502i | 1.48170 | + | 1.01020i | ||||
\(772\) | −39.3934 | − | 18.9709i | −1.41780 | − | 0.682777i | ||||
\(773\) | 13.0017 | 0.467640 | 0.233820 | − | 0.972280i | \(-0.424877\pi\) | ||||
0.233820 | + | 0.972280i | \(0.424877\pi\) | |||||||
\(774\) | −2.54151 | + | 2.22656i | −0.0913528 | + | 0.0800322i | ||||
\(775\) | −10.4375 | −0.374927 | ||||||||
\(776\) | −30.1120 | − | 14.5012i | −1.08096 | − | 0.520563i | ||||
\(777\) | −16.9701 | − | 11.5700i | −0.608799 | − | 0.415072i | ||||
\(778\) | −7.29794 | − | 9.15132i | −0.261644 | − | 0.328091i | ||||
\(779\) | −1.08138 | + | 1.00337i | −0.0387445 | + | 0.0359496i | ||||
\(780\) | 5.20375 | + | 9.01316i | 0.186324 | + | 0.322723i | ||||
\(781\) | 4.84524 | − | 8.39220i | 0.173376 | − | 0.300297i | ||||
\(782\) | −1.00274 | − | 4.39328i | −0.0358578 | − | 0.157103i | ||||
\(783\) | 6.32935 | + | 16.1269i | 0.226193 | + | 0.576329i | ||||
\(784\) | 17.8904 | − | 5.51844i | 0.638941 | − | 0.197087i | ||||
\(785\) | 2.97774 | − | 3.73396i | 0.106280 | − | 0.133271i | ||||
\(786\) | 0.296404 | + | 3.95524i | 0.0105724 | + | 0.141079i | ||||
\(787\) | −15.6283 | − | 4.82069i | −0.557088 | − | 0.171839i | 0.00341071 | − | 0.999994i | \(-0.498914\pi\) |
−0.560499 | + | 0.828155i | \(0.689391\pi\) | |||||||
\(788\) | 13.1663 | − | 8.97664i | 0.469031 | − | 0.319780i | ||||
\(789\) | −11.9640 | + | 1.80328i | −0.425928 | + | 0.0641984i | ||||
\(790\) | 0.278854 | − | 1.22174i | 0.00992117 | − | 0.0434675i | ||||
\(791\) | 32.5614 | + | 30.2126i | 1.15775 | + | 1.07424i | ||||
\(792\) | −0.313839 | + | 4.18789i | −0.0111518 | + | 0.148810i | ||||
\(793\) | −8.91891 | + | 22.7250i | −0.316720 | + | 0.806989i | ||||
\(794\) | 10.0672 | + | 1.51739i | 0.357273 | + | 0.0538502i | ||||
\(795\) | −21.6410 | + | 10.4218i | −0.767527 | + | 0.369622i | ||||
\(796\) | −29.7734 | + | 14.3381i | −1.05529 | + | 0.508201i | ||||
\(797\) | 2.33288 | + | 0.351626i | 0.0826350 | + | 0.0124552i | 0.190230 | − | 0.981740i | \(-0.439077\pi\) |
−0.107595 | + | 0.994195i | \(0.534315\pi\) | |||||||
\(798\) | 2.65666 | − | 6.76905i | 0.0940446 | − | 0.239622i | ||||
\(799\) | 0.697608 | − | 9.30893i | 0.0246796 | − | 0.329326i | ||||
\(800\) | 4.16713 | + | 3.86653i | 0.147330 | + | 0.136703i | ||||
\(801\) | −2.67675 | + | 11.7276i | −0.0945783 | + | 0.414374i | ||||
\(802\) | −5.90487 | + | 0.890016i | −0.208508 | + | 0.0314276i | ||||
\(803\) | 24.1323 | − | 16.4531i | 0.851610 | − | 0.580618i | ||||
\(804\) | −18.7268 | − | 5.77646i | −0.660444 | − | 0.203720i | ||||
\(805\) | −0.490816 | − | 6.54949i | −0.0172990 | − | 0.230839i | ||||
\(806\) | −13.9070 | + | 17.4388i | −0.489854 | + | 0.614257i | ||||
\(807\) | −32.5628 | + | 10.0443i | −1.14626 | + | 0.353576i | ||||
\(808\) | 12.8378 | + | 32.7102i | 0.451632 | + | 1.15074i | ||||
\(809\) | 5.49454 | + | 24.0732i | 0.193178 | + | 0.846368i | 0.974883 | + | 0.222719i | \(0.0714932\pi\) |
−0.781705 | + | 0.623649i | \(0.785650\pi\) | |||||||
\(810\) | −3.43659 | + | 5.95234i | −0.120749 | + | 0.209144i | ||||
\(811\) | 22.1842 | + | 38.4242i | 0.778993 | + | 1.34926i | 0.932523 | + | 0.361111i | \(0.117603\pi\) |
−0.153530 | + | 0.988144i | \(0.549064\pi\) | |||||||
\(812\) | 19.9866 | − | 18.5448i | 0.701391 | − | 0.650796i | ||||
\(813\) | −0.604990 | − | 0.758633i | −0.0212179 | − | 0.0266064i | ||||
\(814\) | 2.97837 | + | 2.03062i | 0.104392 | + | 0.0711731i | ||||
\(815\) | −1.67417 | − | 0.806239i | −0.0586437 | − | 0.0282413i | ||||
\(816\) | −15.2748 | −0.534724 | ||||||||
\(817\) | 8.27053 | − | 3.69578i | 0.289349 | − | 0.129299i | ||||
\(818\) | 15.3919 | 0.538165 | ||||||||
\(819\) | 10.2982 | + | 4.95938i | 0.359850 | + | 0.173295i | ||||
\(820\) | −1.40529 | − | 0.958111i | −0.0490749 | − | 0.0334587i | ||||
\(821\) | −5.56561 | − | 6.97906i | −0.194241 | − | 0.243571i | 0.675167 | − | 0.737665i | \(-0.264071\pi\) |
−0.869409 | + | 0.494094i | \(0.835500\pi\) | |||||||
\(822\) | 13.0723 | − | 12.1293i | 0.455949 | − | 0.423059i | ||||
\(823\) | −7.15092 | − | 12.3858i | −0.249265 | − | 0.431740i | 0.714057 | − | 0.700088i | \(-0.246856\pi\) |
−0.963322 | + | 0.268347i | \(0.913522\pi\) | |||||||
\(824\) | −20.0314 | + | 34.6954i | −0.697828 | + | 1.20867i | ||||
\(825\) | −0.984990 | − | 4.31552i | −0.0342930 | − | 0.150247i | ||||
\(826\) | −11.3876 | − | 29.0151i | −0.396225 | − | 1.00956i | ||||
\(827\) | 51.6230 | − | 15.9236i | 1.79511 | − | 0.553717i | 0.796411 | − | 0.604756i | \(-0.206729\pi\) |
0.998697 | + | 0.0510384i | \(0.0162531\pi\) | |||||||
\(828\) | 1.24582 | − | 1.56221i | 0.0432952 | − | 0.0542904i | ||||
\(829\) | 4.06549 | + | 54.2502i | 0.141200 | + | 1.88419i | 0.397516 | + | 0.917595i | \(0.369872\pi\) |
−0.256315 | + | 0.966593i | \(0.582509\pi\) | |||||||
\(830\) | −5.16951 | − | 1.59458i | −0.179436 | − | 0.0553487i | ||||
\(831\) | −27.1720 | + | 18.5256i | −0.942587 | + | 0.642645i | ||||
\(832\) | 0.605656 | − | 0.0912880i | 0.0209973 | − | 0.00316484i | ||||
\(833\) | −10.9931 | + | 48.1641i | −0.380890 | + | 1.66879i | ||||
\(834\) | 13.0758 | + | 12.1326i | 0.452778 | + | 0.420116i | ||||
\(835\) | 0.583935 | − | 7.79207i | 0.0202079 | − | 0.269656i | ||||
\(836\) | 1.82358 | − | 4.64641i | 0.0630699 | − | 0.160699i | ||||
\(837\) | 44.1557 | + | 6.65540i | 1.52624 | + | 0.230044i | ||||
\(838\) | −12.1668 | + | 5.85921i | −0.420294 | + | 0.202403i | ||||
\(839\) | 6.43974 | − | 3.10121i | 0.222324 | − | 0.107066i | −0.319406 | − | 0.947618i | \(-0.603483\pi\) |
0.541731 | + | 0.840552i | \(0.317769\pi\) | |||||||
\(840\) | 18.7005 | + | 2.81865i | 0.645230 | + | 0.0972527i | ||||
\(841\) | −4.60408 | + | 11.7310i | −0.158761 | + | 0.404518i | ||||
\(842\) | −0.915337 | + | 12.2143i | −0.0315446 | + | 0.420933i | ||||
\(843\) | 38.1383 | + | 35.3872i | 1.31355 | + | 1.21880i | ||||
\(844\) | 1.71241 | − | 7.50256i | 0.0589436 | − | 0.258249i | ||||
\(845\) | 1.76605 | − | 0.266189i | 0.0607540 | − | 0.00915719i | ||||
\(846\) | −0.874448 | + | 0.596189i | −0.0300641 | + | 0.0204974i | ||||
\(847\) | −23.6462 | − | 7.29387i | −0.812492 | − | 0.250620i | ||||
\(848\) | −1.58445 | − | 21.1430i | −0.0544101 | − | 0.726053i | ||||
\(849\) | −5.94881 | + | 7.45958i | −0.204163 | + | 0.256012i | ||||
\(850\) | −2.77152 | + | 0.854900i | −0.0950623 | + | 0.0293228i | ||||
\(851\) | −1.41339 | − | 3.60127i | −0.0484505 | − | 0.123450i | ||||
\(852\) | −2.95419 | − | 12.9431i | −0.101209 | − | 0.443425i | ||||
\(853\) | 4.96717 | − | 8.60340i | 0.170073 | − | 0.294575i | −0.768372 | − | 0.640003i | \(-0.778933\pi\) |
0.938445 | + | 0.345428i | \(0.112266\pi\) | |||||||
\(854\) | 9.83311 | + | 17.0314i | 0.336482 | + | 0.582804i | ||||
\(855\) | −0.817674 | + | 0.758691i | −0.0279639 | + | 0.0259467i | ||||
\(856\) | −3.43725 | − | 4.31017i | −0.117483 | − | 0.147319i | ||||
\(857\) | −30.4616 | − | 20.7684i | −1.04055 | − | 0.709435i | −0.0826619 | − | 0.996578i | \(-0.526342\pi\) |
−0.957888 | + | 0.287143i | \(0.907295\pi\) | |||||||
\(858\) | −8.52272 | − | 4.10432i | −0.290961 | − | 0.140119i | ||||
\(859\) | 24.6285 | 0.840314 | 0.420157 | − | 0.907451i | \(-0.361975\pi\) | ||||
0.420157 | + | 0.907451i | \(0.361975\pi\) | |||||||
\(860\) | 6.27616 | + | 8.34838i | 0.214015 | + | 0.284677i | ||||
\(861\) | −8.80823 | −0.300184 | ||||||||
\(862\) | 13.4169 | + | 6.46126i | 0.456983 | + | 0.220071i | ||||
\(863\) | −11.3011 | − | 7.70494i | −0.384693 | − | 0.262279i | 0.355497 | − | 0.934678i | \(-0.384312\pi\) |
−0.740189 | + | 0.672398i | \(0.765264\pi\) | |||||||
\(864\) | −15.1635 | − | 19.0144i | −0.515872 | − | 0.646883i | ||||
\(865\) | 1.78057 | − | 1.65213i | 0.0605411 | − | 0.0561740i | ||||
\(866\) | 4.32956 | + | 7.49901i | 0.147124 | + | 0.254827i | ||||
\(867\) | 3.56728 | − | 6.17870i | 0.121151 | − | 0.209840i | ||||
\(868\) | −15.6379 | − | 68.5141i | −0.530785 | − | 2.32552i | ||||
\(869\) | −1.62750 | − | 4.14681i | −0.0552092 | − | 0.140671i | ||||
\(870\) | 4.81838 | − | 1.48627i | 0.163358 | − | 0.0503894i | ||||
\(871\) | 13.1657 | − | 16.5093i | 0.446103 | − | 0.559395i | ||||
\(872\) | 0.255008 | + | 3.40285i | 0.00863566 | + | 0.115235i | ||||
\(873\) | 11.2474 | + | 3.46936i | 0.380667 | + | 0.117420i | ||||
\(874\) | 1.13169 | − | 0.771574i | 0.0382800 | − | 0.0260989i | ||||
\(875\) | −4.18006 | + | 0.630043i | −0.141312 | + | 0.0212993i | ||||
\(876\) | 8.90401 | − | 39.0110i | 0.300839 | − | 1.31806i | ||||
\(877\) | −17.9168 | − | 16.6243i | −0.605006 | − | 0.561363i | 0.317056 | − | 0.948407i | \(-0.397306\pi\) |
−0.922061 | + | 0.387044i | \(0.873496\pi\) | |||||||
\(878\) | −0.852167 | + | 11.3714i | −0.0287593 | + | 0.383766i | ||||
\(879\) | −8.65099 | + | 22.0424i | −0.291791 | + | 0.743471i | ||||
\(880\) | 3.86365 | + | 0.582351i | 0.130244 | + | 0.0196311i | ||||
\(881\) | −13.2555 | + | 6.38353i | −0.446591 | + | 0.215067i | −0.643642 | − | 0.765326i | \(-0.722578\pi\) |
0.197052 | + | 0.980393i | \(0.436863\pi\) | |||||||
\(882\) | 5.04630 | − | 2.43017i | 0.169918 | − | 0.0818281i | ||||
\(883\) | −46.9633 | − | 7.07858i | −1.58044 | − | 0.238213i | −0.700625 | − | 0.713529i | \(-0.747095\pi\) |
−0.879815 | + | 0.475316i | \(0.842334\pi\) | |||||||
\(884\) | 8.85636 | − | 22.5656i | 0.297872 | − | 0.758964i | ||||
\(885\) | −1.68484 | + | 22.4826i | −0.0566352 | + | 0.755744i | ||||
\(886\) | −13.7529 | − | 12.7608i | −0.462038 | − | 0.428709i | ||||
\(887\) | 0.255041 | − | 1.11741i | 0.00856342 | − | 0.0375188i | −0.970466 | − | 0.241239i | \(-0.922446\pi\) |
0.979029 | + | 0.203720i | \(0.0653033\pi\) | |||||||
\(888\) | 11.0153 | − | 1.66029i | 0.369648 | − | 0.0557155i | ||||
\(889\) | 10.7684 | − | 7.34176i | 0.361160 | − | 0.246235i | ||||
\(890\) | −9.08478 | − | 2.80229i | −0.304523 | − | 0.0939328i | ||||
\(891\) | 1.82587 | + | 24.3646i | 0.0611690 | + | 0.816244i | ||||
\(892\) | −26.8698 | + | 33.6936i | −0.899666 | + | 1.12815i | ||||
\(893\) | 2.71135 | − | 0.836341i | 0.0907318 | − | 0.0279871i | ||||
\(894\) | −5.02437 | − | 12.8019i | −0.168040 | − | 0.428159i | ||||
\(895\) | 1.14349 | + | 5.00996i | 0.0382227 | + | 0.167465i | ||||
\(896\) | −23.7838 | + | 41.1947i | −0.794561 | + | 1.37622i | ||||
\(897\) | 5.07610 | + | 8.79206i | 0.169486 | + | 0.293558i | ||||
\(898\) | 6.39499 | − | 5.93368i | 0.213404 | − | 0.198010i | ||||
\(899\) | −26.3524 | − | 33.0449i | −0.878902 | − | 1.10211i | ||||
\(900\) | −1.06260 | − | 0.724465i | −0.0354198 | − | 0.0241488i | ||||
\(901\) | 50.4066 | + | 24.2746i | 1.67929 | + | 0.808703i | ||||
\(902\) | 1.54590 | 0.0514730 | ||||||||
\(903\) | 51.2100 | + | 17.4125i | 1.70416 | + | 0.579450i | ||||
\(904\) | −24.0914 | −0.801270 | ||||||||
\(905\) | 7.00269 | + | 3.37232i | 0.232777 | + | 0.112100i | ||||
\(906\) | 7.04166 | + | 4.80092i | 0.233943 | + | 0.159500i | ||||
\(907\) | 9.05891 | + | 11.3595i | 0.300796 | + | 0.377186i | 0.909142 | − | 0.416485i | \(-0.136738\pi\) |
−0.608346 | + | 0.793672i | \(0.708167\pi\) | |||||||
\(908\) | −23.1227 | + | 21.4547i | −0.767353 | + | 0.712000i | ||||
\(909\) | −6.18757 | − | 10.7172i | −0.205229 | − | 0.355467i | ||||
\(910\) | −4.51687 | + | 7.82345i | −0.149733 | + | 0.259345i | ||||
\(911\) | 2.34021 | + | 10.2531i | 0.0775345 | + | 0.339701i | 0.998786 | − | 0.0492675i | \(-0.0156887\pi\) |
−0.921251 | + | 0.388968i | \(0.872832\pi\) | |||||||
\(912\) | −1.69621 | − | 4.32187i | −0.0561671 | − | 0.143111i | ||||
\(913\) | −18.3767 | + | 5.66845i | −0.608179 | + | 0.187598i | ||||
\(914\) | −1.46568 | + | 1.83791i | −0.0484805 | + | 0.0607926i | ||||
\(915\) | −1.06303 | − | 14.1852i | −0.0351427 | − | 0.468947i | ||||
\(916\) | −2.67264 | − | 0.824400i | −0.0883065 | − | 0.0272390i | ||||
\(917\) | 11.1253 | − | 7.58510i | 0.367390 | − | 0.250482i | ||||
\(918\) | 12.2700 | − | 1.84940i | 0.404969 | − | 0.0610393i | ||||
\(919\) | 10.5499 | − | 46.2223i | 0.348010 | − | 1.52473i | −0.433681 | − | 0.901066i | \(-0.642786\pi\) |
0.781692 | − | 0.623665i | \(-0.214357\pi\) | |||||||
\(920\) | 2.61127 | + | 2.42291i | 0.0860911 | + | 0.0798809i | ||||
\(921\) | −2.68108 | + | 35.7766i | −0.0883447 | + | 1.17888i | ||||
\(922\) | −4.08229 | + | 10.4015i | −0.134443 | + | 0.342555i | ||||
\(923\) | 14.1450 | + | 2.13202i | 0.465589 | + | 0.0701762i | ||||
\(924\) | 26.8523 | − | 12.9314i | 0.883375 | − | 0.425411i | ||||
\(925\) | −2.24343 | + | 1.08038i | −0.0737634 | + | 0.0355226i | ||||
\(926\) | −1.24863 | − | 0.188201i | −0.0410326 | − | 0.00618468i | ||||
\(927\) | 5.15464 | − | 13.1338i | 0.169301 | − | 0.431371i | ||||
\(928\) | −1.72025 | + | 22.9551i | −0.0564699 | + | 0.753539i | ||||
\(929\) | 21.7621 | + | 20.1923i | 0.713992 | + | 0.662487i | 0.951060 | − | 0.309006i | \(-0.0999962\pi\) |
−0.237069 | + | 0.971493i | \(0.576187\pi\) | |||||||
\(930\) | 2.89209 | − | 12.6711i | 0.0948354 | − | 0.415501i | ||||
\(931\) | −14.8484 | + | 2.23803i | −0.486636 | + | 0.0733485i | ||||
\(932\) | −16.9663 | + | 11.5674i | −0.555750 | + | 0.378904i | ||||
\(933\) | 35.4939 | + | 10.9484i | 1.16202 | + | 0.358436i | ||||
\(934\) | 0.242831 | + | 3.24036i | 0.00794568 | + | 0.106028i | ||||
\(935\) | −6.42837 | + | 8.06092i | −0.210230 | + | 0.263620i | ||||
\(936\) | −5.92395 | + | 1.82730i | −0.193630 | + | 0.0597271i | ||||
\(937\) | −9.98993 | − | 25.4539i | −0.326357 | − | 0.831543i | −0.996041 | − | 0.0888972i | \(-0.971666\pi\) |
0.669684 | − | 0.742646i | \(-0.266430\pi\) | |||||||
\(938\) | −3.78523 | − | 16.5842i | −0.123592 | − | 0.541493i | ||||
\(939\) | 29.3025 | − | 50.7534i | 0.956251 | − | 1.65628i | ||||
\(940\) | 1.63572 | + | 2.83315i | 0.0533512 | + | 0.0924070i | ||||
\(941\) | 15.6182 | − | 14.4915i | 0.509138 | − | 0.472411i | −0.383273 | − | 0.923635i | \(-0.625203\pi\) |
0.892410 | + | 0.451224i | \(0.149013\pi\) | |||||||
\(942\) | 3.70792 | + | 4.64958i | 0.120810 | + | 0.151491i | ||||
\(943\) | −1.37082 | − | 0.934607i | −0.0446400 | − | 0.0304350i | ||||
\(944\) | −17.9303 | − | 8.63476i | −0.583580 | − | 0.281037i | ||||
\(945\) | 18.0854 | 0.588318 | ||||||||
\(946\) | −8.98770 | − | 3.05600i | −0.292215 | − | 0.0993593i | ||||
\(947\) | 40.3744 | 1.31199 | 0.655996 | − | 0.754765i | \(-0.272249\pi\) | ||||
0.655996 | + | 0.754765i | \(0.272249\pi\) | |||||||
\(948\) | −5.49863 | − | 2.64800i | −0.178587 | − | 0.0860031i | ||||
\(949\) | 35.6233 | + | 24.2876i | 1.15638 | + | 0.788408i | ||||
\(950\) | −0.549654 | − | 0.689244i | −0.0178331 | − | 0.0223620i | ||||
\(951\) | 0.365766 | − | 0.339381i | 0.0118608 | − | 0.0110052i | ||||
\(952\) | −22.0248 | − | 38.1481i | −0.713828 | − | 1.23639i | ||||
\(953\) | −0.290115 | + | 0.502493i | −0.00939774 | + | 0.0162774i | −0.870686 | − | 0.491839i | \(-0.836325\pi\) |
0.861288 | + | 0.508117i | \(0.169658\pi\) | |||||||
\(954\) | −1.41144 | − | 6.18391i | −0.0456969 | − | 0.200211i | ||||
\(955\) | −2.75742 | − | 7.02580i | −0.0892281 | − | 0.227350i | ||||
\(956\) | 14.7986 | − | 4.56476i | 0.478621 | − | 0.147635i | ||||
\(957\) | 11.1759 | − | 14.0142i | 0.361267 | − | 0.453014i | ||||
\(958\) | −0.950537 | − | 12.6840i | −0.0307104 | − | 0.409802i | ||||
\(959\) | −57.8493 | − | 17.8441i | −1.86805 | − | 0.576218i | ||||
\(960\) | −0.294881 | + | 0.201046i | −0.00951723 | + | 0.00648874i | ||||
\(961\) | −77.0713 | + | 11.6166i | −2.48617 | + | 0.374730i | ||||
\(962\) | −1.18408 | + | 5.18778i | −0.0381762 | + | 0.167261i | ||||
\(963\) | 1.42323 | + | 1.32056i | 0.0458628 | + | 0.0425545i | ||||
\(964\) | 1.88434 | − | 25.1447i | 0.0606904 | − | 0.809857i | ||||
\(965\) | −10.0291 | + | 25.5538i | −0.322849 | + | 0.822606i | ||||
\(966\) | 8.08703 | + | 1.21892i | 0.260196 | + | 0.0392182i | ||||
\(967\) | −26.7457 | + | 12.8801i | −0.860084 | + | 0.414195i | −0.811311 | − | 0.584615i | \(-0.801246\pi\) |
−0.0487735 | + | 0.998810i | \(0.515531\pi\) | |||||||
\(968\) | 12.0921 | − | 5.82323i | 0.388654 | − | 0.187166i | ||||
\(969\) | 12.1143 | + | 1.82594i | 0.389168 | + | 0.0586576i | ||||
\(970\) | −3.39861 | + | 8.65951i | −0.109123 | + | 0.278040i | ||||
\(971\) | 1.51410 | − | 20.2043i | 0.0485899 | − | 0.648387i | −0.918739 | − | 0.394864i | \(-0.870792\pi\) |
0.967329 | − | 0.253523i | \(-0.0815894\pi\) | |||||||
\(972\) | 9.55201 | + | 8.86297i | 0.306381 | + | 0.284280i | ||||
\(973\) | 13.4748 | − | 59.0368i | 0.431981 | − | 1.89263i | ||||
\(974\) | 9.52949 | − | 1.43634i | 0.305344 | − | 0.0460233i | ||||
\(975\) | 5.39887 | − | 3.68089i | 0.172902 | − | 0.117883i | ||||
\(976\) | 11.9985 | + | 3.70106i | 0.384064 | + | 0.118468i | ||||
\(977\) | −1.30226 | − | 17.3775i | −0.0416631 | − | 0.555956i | −0.978508 | − | 0.206210i | \(-0.933887\pi\) |
0.936845 | − | 0.349746i | \(-0.113732\pi\) | |||||||
\(978\) | 1.44266 | − | 1.80904i | 0.0461311 | − | 0.0578466i | ||||
\(979\) | −32.2948 | + | 9.96162i | −1.03215 | + | 0.318375i | ||||
\(980\) | −6.32517 | − | 16.1163i | −0.202050 | − | 0.514815i | ||||
\(981\) | −0.267416 | − | 1.17163i | −0.00853794 | − | 0.0374071i | ||||
\(982\) | 11.2184 | − | 19.4309i | 0.357995 | − | 0.620065i | ||||
\(983\) | −26.3347 | − | 45.6131i | −0.839947 | − | 1.45483i | −0.889938 | − | 0.456082i | \(-0.849252\pi\) |
0.0499902 | − | 0.998750i | \(-0.484081\pi\) | |||||||
\(984\) | 3.50201 | − | 3.24939i | 0.111640 | − | 0.103587i | ||||
\(985\) | −6.23790 | − | 7.82208i | −0.198756 | − | 0.249232i | ||||
\(986\) | −9.70405 | − | 6.61611i | −0.309040 | − | 0.210700i | ||||
\(987\) | 15.2643 | + | 7.35089i | 0.485867 | + | 0.233981i | ||||
\(988\) | 7.36822 | 0.234414 | ||||||||
\(989\) | 6.12220 | + | 8.14358i | 0.194675 | + | 0.258951i | ||||
\(990\) | 1.16892 | 0.0371506 | ||||||||
\(991\) | −50.6562 | − | 24.3947i | −1.60915 | − | 0.774924i | −0.609309 | − | 0.792933i | \(-0.708553\pi\) |
−0.999838 | + | 0.0180085i | \(0.994267\pi\) | |||||||
\(992\) | 49.0236 | + | 33.4237i | 1.55650 | + | 1.06120i | ||||
\(993\) | 43.0355 | + | 53.9648i | 1.36569 | + | 1.71252i | ||||
\(994\) | 8.44740 | − | 7.83805i | 0.267935 | − | 0.248608i | ||||
\(995\) | 10.3738 | + | 17.9680i | 0.328872 | + | 0.569624i | ||||
\(996\) | −13.1733 | + | 22.8168i | −0.417412 | + | 0.722979i | ||||
\(997\) | 2.61495 | + | 11.4568i | 0.0828161 | + | 0.362841i | 0.999307 | − | 0.0372136i | \(-0.0118482\pi\) |
−0.916491 | + | 0.400055i | \(0.868991\pi\) | |||||||
\(998\) | 1.79959 | + | 4.58529i | 0.0569651 | + | 0.145145i | ||||
\(999\) | 10.1797 | − | 3.14001i | 0.322070 | − | 0.0993454i |
(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 | 215.2.q.b.111.6 | yes | 96 | |
43.17 | even | 21 | 9245.2.a.bb.1.18 | 48 | |||
43.26 | odd | 42 | 9245.2.a.ba.1.31 | 48 | |||
43.31 | even | 21 | inner | 215.2.q.b.31.6 | ✓ | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
215.2.q.b.31.6 | ✓ | 96 | 43.31 | even | 21 | inner | |
215.2.q.b.111.6 | yes | 96 | 1.1 | even | 1 | trivial | |
9245.2.a.ba.1.31 | 48 | 43.26 | odd | 42 | |||
9245.2.a.bb.1.18 | 48 | 43.17 | even | 21 |