Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [539,2,Mod(23,539)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(539, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([38, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("539.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 539 = 7^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 539.r (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: | \(4.30393666895\) |
Analytic rank: | \(0\) |
Dimension: | \(276\) |
Relative dimension: | \(23\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 23.1 | ||
Character | \(\chi\) | \(=\) | 539.23 |
Dual form | 539.2.r.b.375.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/539\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(442\) |
\(\chi(n)\) | \(e\left(\frac{19}{21}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.209677 | + | 2.79795i | −0.148264 | + | 1.97845i | 0.0517726 | + | 0.998659i | \(0.483513\pi\) |
−0.200037 | + | 0.979788i | \(0.564106\pi\) | |||||||
\(3\) | 2.93495 | − | 0.905312i | 1.69449 | − | 0.522682i | 0.710933 | − | 0.703260i | \(-0.248273\pi\) |
0.983561 | + | 0.180578i | \(0.0577969\pi\) | |||||||
\(4\) | −5.80688 | − | 0.875247i | −2.90344 | − | 0.437623i | ||||
\(5\) | 0.632033 | + | 0.586441i | 0.282654 | + | 0.262264i | 0.808739 | − | 0.588167i | \(-0.200150\pi\) |
−0.526086 | + | 0.850432i | \(0.676341\pi\) | |||||||
\(6\) | 1.91762 | + | 8.40165i | 0.782866 | + | 3.42996i | ||||
\(7\) | 2.01885 | − | 1.71005i | 0.763052 | − | 0.646337i | ||||
\(8\) | 2.41777 | − | 10.5929i | 0.854810 | − | 3.74517i | ||||
\(9\) | 5.31562 | − | 3.62413i | 1.77187 | − | 1.20804i | ||||
\(10\) | −1.77335 | + | 1.64543i | −0.560783 | + | 0.520331i | ||||
\(11\) | 0.826239 | + | 0.563320i | 0.249120 | + | 0.169847i | ||||
\(12\) | −17.8353 | + | 2.68823i | −5.14860 | + | 0.776026i | ||||
\(13\) | 0.970595 | − | 0.467414i | 0.269195 | − | 0.129637i | −0.294417 | − | 0.955677i | \(-0.595126\pi\) |
0.563612 | + | 0.826040i | \(0.309411\pi\) | |||||||
\(14\) | 4.36132 | + | 6.00718i | 1.16561 | + | 1.60549i | ||||
\(15\) | 2.38589 | + | 1.14899i | 0.616035 | + | 0.296667i | ||||
\(16\) | 17.9084 | + | 5.52400i | 4.47709 | + | 1.38100i | ||||
\(17\) | −2.38973 | + | 6.08894i | −0.579595 | + | 1.47679i | 0.277038 | + | 0.960859i | \(0.410647\pi\) |
−0.856633 | + | 0.515926i | \(0.827448\pi\) | |||||||
\(18\) | 9.02555 | + | 15.6327i | 2.12734 | + | 3.68467i | ||||
\(19\) | −1.58243 | + | 2.74085i | −0.363034 | + | 0.628794i | −0.988459 | − | 0.151491i | \(-0.951592\pi\) |
0.625424 | + | 0.780285i | \(0.284926\pi\) | |||||||
\(20\) | −3.15686 | − | 3.95858i | −0.705895 | − | 0.885164i | ||||
\(21\) | 4.37708 | − | 6.84659i | 0.955157 | − | 1.49405i | ||||
\(22\) | −1.74938 | + | 2.19366i | −0.372970 | + | 0.467689i | ||||
\(23\) | 0.951667 | + | 2.42481i | 0.198436 | + | 0.505608i | 0.995107 | − | 0.0988066i | \(-0.0315025\pi\) |
−0.796670 | + | 0.604414i | \(0.793407\pi\) | |||||||
\(24\) | −2.49388 | − | 33.2786i | −0.509062 | − | 6.79296i | ||||
\(25\) | −0.318098 | − | 4.24472i | −0.0636196 | − | 0.848944i | ||||
\(26\) | 1.10429 | + | 2.81368i | 0.216569 | + | 0.551808i | ||||
\(27\) | 6.57513 | − | 8.24496i | 1.26539 | − | 1.58674i | ||||
\(28\) | −13.2199 | + | 8.16306i | −2.49833 | + | 1.54267i | ||||
\(29\) | −2.49652 | − | 3.13054i | −0.463592 | − | 0.581326i | 0.493997 | − | 0.869464i | \(-0.335535\pi\) |
−0.957589 | + | 0.288137i | \(0.906964\pi\) | |||||||
\(30\) | −3.71507 | + | 6.43469i | −0.678276 | + | 1.17481i | ||||
\(31\) | −1.43219 | − | 2.48063i | −0.257229 | − | 0.445534i | 0.708269 | − | 0.705942i | \(-0.249476\pi\) |
−0.965499 | + | 0.260408i | \(0.916143\pi\) | |||||||
\(32\) | −11.2717 | + | 28.7199i | −1.99258 | + | 5.07701i | ||||
\(33\) | 2.93495 | + | 0.905312i | 0.510909 | + | 0.157595i | ||||
\(34\) | −16.5355 | − | 7.96306i | −2.83581 | − | 1.36565i | ||||
\(35\) | 2.27882 | + | 0.103127i | 0.385191 | + | 0.0174316i | ||||
\(36\) | −34.0392 | + | 16.3924i | −5.67319 | + | 2.73207i | ||||
\(37\) | 1.33847 | − | 0.201743i | 0.220044 | − | 0.0331663i | −0.0380949 | − | 0.999274i | \(-0.512129\pi\) |
0.258139 | + | 0.966108i | \(0.416891\pi\) | |||||||
\(38\) | −7.33695 | − | 5.00225i | −1.19021 | − | 0.811471i | ||||
\(39\) | 2.42549 | − | 2.25053i | 0.388389 | − | 0.360373i | ||||
\(40\) | 7.74024 | − | 5.27720i | 1.22384 | − | 0.834399i | ||||
\(41\) | −0.760144 | + | 3.33041i | −0.118715 | + | 0.520123i | 0.880245 | + | 0.474519i | \(0.157378\pi\) |
−0.998960 | + | 0.0456032i | \(0.985479\pi\) | |||||||
\(42\) | 18.2386 | + | 13.6824i | 2.81428 | + | 2.11124i | ||||
\(43\) | −0.734073 | − | 3.21618i | −0.111945 | − | 0.490463i | −0.999554 | − | 0.0298654i | \(-0.990492\pi\) |
0.887609 | − | 0.460598i | \(-0.152365\pi\) | |||||||
\(44\) | −4.30483 | − | 3.99430i | −0.648977 | − | 0.602163i | ||||
\(45\) | 5.48498 | + | 0.826728i | 0.817652 | + | 0.123241i | ||||
\(46\) | −6.98403 | + | 2.15429i | −1.02974 | + | 0.317632i | ||||
\(47\) | −0.0781955 | + | 1.04345i | −0.0114060 | + | 0.152202i | 0.988593 | + | 0.150613i | \(0.0481248\pi\) |
−0.999999 | + | 0.00158899i | \(0.999494\pi\) | |||||||
\(48\) | 57.5611 | 8.30823 | ||||||||
\(49\) | 1.15147 | − | 6.90464i | 0.164496 | − | 0.986378i | ||||
\(50\) | 11.9432 | 1.68902 | ||||||||
\(51\) | −1.50135 | + | 20.0342i | −0.210232 | + | 2.80535i | ||||
\(52\) | −6.04523 | + | 1.86471i | −0.838323 | + | 0.258588i | ||||
\(53\) | −4.00780 | − | 0.604079i | −0.550514 | − | 0.0829766i | −0.132106 | − | 0.991236i | \(-0.542174\pi\) |
−0.418408 | + | 0.908259i | \(0.637412\pi\) | |||||||
\(54\) | 21.6903 | + | 20.1257i | 2.95168 | + | 2.73875i | ||||
\(55\) | 0.191856 | + | 0.840577i | 0.0258699 | + | 0.113343i | ||||
\(56\) | −13.2333 | − | 25.5200i | −1.76838 | − | 3.41025i | ||||
\(57\) | −2.16303 | + | 9.47684i | −0.286500 | + | 1.25524i | ||||
\(58\) | 9.28254 | − | 6.32873i | 1.21886 | − | 0.831003i | ||||
\(59\) | −5.09457 | + | 4.72707i | −0.663256 | + | 0.615412i | −0.938219 | − | 0.346043i | \(-0.887525\pi\) |
0.274962 | + | 0.961455i | \(0.411335\pi\) | |||||||
\(60\) | −12.8490 | − | 8.76027i | −1.65879 | − | 1.13095i | ||||
\(61\) | −3.64724 | + | 0.549734i | −0.466982 | + | 0.0703862i | −0.378319 | − | 0.925675i | \(-0.623498\pi\) |
−0.0886633 | + | 0.996062i | \(0.528260\pi\) | |||||||
\(62\) | 7.24097 | − | 3.48707i | 0.919604 | − | 0.442858i | ||||
\(63\) | 4.53398 | − | 16.4065i | 0.571228 | − | 2.06703i | ||||
\(64\) | −44.2232 | − | 21.2968i | −5.52790 | − | 2.66210i | ||||
\(65\) | 0.887558 | + | 0.273776i | 0.110088 | + | 0.0339577i | ||||
\(66\) | −3.14841 | + | 8.02201i | −0.387542 | + | 0.987441i | ||||
\(67\) | −7.47938 | − | 12.9547i | −0.913751 | − | 1.58266i | −0.808719 | − | 0.588195i | \(-0.799839\pi\) |
−0.105032 | − | 0.994469i | \(-0.533495\pi\) | |||||||
\(68\) | 19.2062 | − | 33.2662i | 2.32910 | − | 4.03411i | ||||
\(69\) | 4.98830 | + | 6.25513i | 0.600521 | + | 0.753029i | ||||
\(70\) | −0.766360 | + | 6.35439i | −0.0915975 | + | 0.759495i | ||||
\(71\) | −1.35083 | + | 1.69389i | −0.160314 | + | 0.201028i | −0.855501 | − | 0.517802i | \(-0.826750\pi\) |
0.695186 | + | 0.718830i | \(0.255322\pi\) | |||||||
\(72\) | −25.5382 | − | 65.0703i | −3.00971 | − | 7.66861i | ||||
\(73\) | 0.735875 | + | 9.81957i | 0.0861277 | + | 1.14929i | 0.858046 | + | 0.513572i | \(0.171678\pi\) |
−0.771919 | + | 0.635721i | \(0.780703\pi\) | |||||||
\(74\) | 0.283817 | + | 3.78728i | 0.0329931 | + | 0.440262i | ||||
\(75\) | −4.77639 | − | 12.1701i | −0.551531 | − | 1.40528i | ||||
\(76\) | 11.5879 | − | 14.5308i | 1.32922 | − | 1.66679i | ||||
\(77\) | 2.63135 | − | 0.275652i | 0.299870 | − | 0.0314134i | ||||
\(78\) | 5.78829 | + | 7.25828i | 0.655394 | + | 0.821838i | ||||
\(79\) | −4.68680 | + | 8.11778i | −0.527306 | + | 0.913321i | 0.472187 | + | 0.881498i | \(0.343465\pi\) |
−0.999494 | + | 0.0318229i | \(0.989869\pi\) | |||||||
\(80\) | 8.07918 | + | 13.9935i | 0.903280 | + | 1.56453i | ||||
\(81\) | 4.78215 | − | 12.1847i | 0.531349 | − | 1.35386i | ||||
\(82\) | −9.15893 | − | 2.82515i | −1.01143 | − | 0.311986i | ||||
\(83\) | 7.75393 | + | 3.73409i | 0.851104 | + | 0.409870i | 0.807987 | − | 0.589200i | \(-0.200557\pi\) |
0.0431167 | + | 0.999070i | \(0.486271\pi\) | |||||||
\(84\) | −31.4096 | + | 35.9263i | −3.42707 | + | 3.91988i | ||||
\(85\) | −5.08119 | + | 2.44697i | −0.551133 | + | 0.265412i | ||||
\(86\) | 9.15263 | − | 1.37954i | 0.986953 | − | 0.148759i | ||||
\(87\) | −10.1613 | − | 6.92784i | −1.08940 | − | 0.742742i | ||||
\(88\) | 7.96487 | − | 7.39032i | 0.849058 | − | 0.787810i | ||||
\(89\) | 12.2616 | − | 8.35978i | 1.29972 | − | 0.886135i | 0.301981 | − | 0.953314i | \(-0.402352\pi\) |
0.997741 | + | 0.0671787i | \(0.0213997\pi\) | |||||||
\(90\) | −3.46321 | + | 15.1733i | −0.365055 | + | 1.59941i | ||||
\(91\) | 1.16018 | − | 2.60340i | 0.121620 | − | 0.272911i | ||||
\(92\) | −3.40391 | − | 14.9135i | −0.354882 | − | 1.55484i | ||||
\(93\) | −6.44915 | − | 5.98394i | −0.668746 | − | 0.620505i | ||||
\(94\) | −2.90311 | − | 0.437574i | −0.299433 | − | 0.0451323i | ||||
\(95\) | −2.60749 | + | 0.804305i | −0.267523 | + | 0.0825199i | ||||
\(96\) | −7.08148 | + | 94.4958i | −0.722751 | + | 9.64444i | ||||
\(97\) | −6.11532 | −0.620917 | −0.310458 | − | 0.950587i | \(-0.600483\pi\) | ||||
−0.310458 | + | 0.950587i | \(0.600483\pi\) | |||||||
\(98\) | 19.0774 | + | 4.66951i | 1.92711 | + | 0.471692i | ||||
\(99\) | 6.43351 | 0.646592 | ||||||||
\(100\) | −1.86802 | + | 24.9270i | −0.186802 | + | 2.49270i | ||||
\(101\) | 1.00395 | − | 0.309678i | 0.0998968 | − | 0.0308141i | −0.244404 | − | 0.969674i | \(-0.578592\pi\) |
0.344301 | + | 0.938859i | \(0.388116\pi\) | |||||||
\(102\) | −55.7398 | − | 8.40142i | −5.51906 | − | 0.831865i | ||||
\(103\) | −6.48107 | − | 6.01356i | −0.638599 | − | 0.592533i | 0.292959 | − | 0.956125i | \(-0.405360\pi\) |
−0.931558 | + | 0.363591i | \(0.881550\pi\) | |||||||
\(104\) | −2.60461 | − | 11.4116i | −0.255403 | − | 1.11899i | ||||
\(105\) | 6.78157 | − | 1.76037i | 0.661814 | − | 0.171794i | ||||
\(106\) | 2.53052 | − | 11.0870i | 0.245786 | − | 1.07686i | ||||
\(107\) | −1.76799 | + | 1.20540i | −0.170918 | + | 0.116530i | −0.645758 | − | 0.763542i | \(-0.723458\pi\) |
0.474840 | + | 0.880072i | \(0.342506\pi\) | |||||||
\(108\) | −45.3974 | + | 42.1226i | −4.36837 | + | 4.05325i | ||||
\(109\) | −4.17917 | − | 2.84931i | −0.400292 | − | 0.272914i | 0.346397 | − | 0.938088i | \(-0.387405\pi\) |
−0.746689 | + | 0.665174i | \(0.768357\pi\) | |||||||
\(110\) | −2.39212 | + | 0.360554i | −0.228079 | + | 0.0343774i | ||||
\(111\) | 3.74571 | − | 1.80384i | 0.355527 | − | 0.171213i | ||||
\(112\) | 45.6005 | − | 19.4721i | 4.30885 | − | 1.83994i | ||||
\(113\) | −0.286818 | − | 0.138124i | −0.0269815 | − | 0.0129936i | 0.420344 | − | 0.907365i | \(-0.361909\pi\) |
−0.447326 | + | 0.894371i | \(0.647624\pi\) | |||||||
\(114\) | −26.0622 | − | 8.03911i | −2.44094 | − | 0.752932i | ||||
\(115\) | −0.820521 | + | 2.09065i | −0.0765140 | + | 0.194955i | ||||
\(116\) | 11.7570 | + | 20.3637i | 1.09161 | + | 1.89072i | ||||
\(117\) | 3.46534 | − | 6.00215i | 0.320371 | − | 0.554899i | ||||
\(118\) | −12.1579 | − | 15.2455i | −1.11922 | − | 1.40346i | ||||
\(119\) | 5.58788 | + | 16.3792i | 0.512240 | + | 1.50148i | ||||
\(120\) | 17.9397 | − | 22.4956i | 1.63766 | − | 2.05356i | ||||
\(121\) | 0.365341 | + | 0.930874i | 0.0332128 | + | 0.0846249i | ||||
\(122\) | −0.773382 | − | 10.3201i | −0.0700187 | − | 0.934335i | ||||
\(123\) | 0.784075 | + | 10.4627i | 0.0706976 | + | 0.943394i | ||||
\(124\) | 6.14541 | + | 15.6582i | 0.551874 | + | 1.40615i | ||||
\(125\) | 4.97607 | − | 6.23980i | 0.445073 | − | 0.558104i | ||||
\(126\) | 44.9539 | + | 16.1259i | 4.00481 | + | 1.43661i | ||||
\(127\) | 9.56756 | + | 11.9973i | 0.848984 | + | 1.06459i | 0.997136 | + | 0.0756272i | \(0.0240959\pi\) |
−0.148153 | + | 0.988965i | \(0.547333\pi\) | |||||||
\(128\) | 38.0072 | − | 65.8304i | 3.35940 | − | 5.81864i | ||||
\(129\) | −5.06611 | − | 8.77477i | −0.446046 | − | 0.772575i | ||||
\(130\) | −0.952110 | + | 2.42594i | −0.0835056 | + | 0.212769i | ||||
\(131\) | −16.2679 | − | 5.01799i | −1.42134 | − | 0.438424i | −0.513623 | − | 0.858016i | \(-0.671697\pi\) |
−0.907713 | + | 0.419592i | \(0.862173\pi\) | |||||||
\(132\) | −16.2505 | − | 7.82584i | −1.41443 | − | 0.681152i | ||||
\(133\) | 1.49230 | + | 8.23938i | 0.129399 | + | 0.714445i | ||||
\(134\) | 37.8147 | − | 18.2106i | 3.26669 | − | 1.57316i | ||||
\(135\) | 8.99088 | − | 1.35516i | 0.773812 | − | 0.116633i | ||||
\(136\) | 58.7219 | + | 40.0359i | 5.03537 | + | 3.43305i | ||||
\(137\) | 2.84186 | − | 2.63687i | 0.242797 | − | 0.225283i | −0.549382 | − | 0.835571i | \(-0.685137\pi\) |
0.792179 | + | 0.610288i | \(0.208946\pi\) | |||||||
\(138\) | −18.5475 | + | 12.6454i | −1.57886 | + | 1.07645i | ||||
\(139\) | 0.0306528 | − | 0.134299i | 0.00259994 | − | 0.0113911i | −0.973611 | − | 0.228213i | \(-0.926712\pi\) |
0.976211 | + | 0.216822i | \(0.0695690\pi\) | |||||||
\(140\) | −13.1426 | − | 2.59337i | −1.11075 | − | 0.219180i | ||||
\(141\) | 0.715145 | + | 3.13325i | 0.0602260 | + | 0.263868i | ||||
\(142\) | −4.45618 | − | 4.13473i | −0.373954 | − | 0.346979i | ||||
\(143\) | 1.06525 | + | 0.160560i | 0.0890804 | + | 0.0134267i | ||||
\(144\) | 115.214 | − | 35.5387i | 9.60114 | − | 2.96156i | ||||
\(145\) | 0.257992 | − | 3.44266i | 0.0214251 | − | 0.285898i | ||||
\(146\) | −27.6289 | −2.28659 | ||||||||
\(147\) | −2.87134 | − | 21.3072i | −0.236824 | − | 1.75739i | ||||
\(148\) | −7.94894 | −0.653398 | ||||||||
\(149\) | 0.0466106 | − | 0.621975i | 0.00381849 | − | 0.0509542i | −0.994969 | − | 0.100183i | \(-0.968057\pi\) |
0.998788 | + | 0.0492286i | \(0.0156763\pi\) | |||||||
\(150\) | 35.0527 | − | 10.8123i | 2.86204 | − | 0.882822i | ||||
\(151\) | 14.0216 | + | 2.11341i | 1.14106 | + | 0.171987i | 0.692261 | − | 0.721647i | \(-0.256615\pi\) |
0.448797 | + | 0.893634i | \(0.351853\pi\) | |||||||
\(152\) | 25.2077 | + | 23.3893i | 2.04461 | + | 1.89712i | ||||
\(153\) | 9.36418 | + | 41.0272i | 0.757049 | + | 3.31685i | ||||
\(154\) | 0.219524 | + | 7.42018i | 0.0176897 | + | 0.597935i | ||||
\(155\) | 0.549550 | − | 2.40773i | 0.0441409 | − | 0.193394i | ||||
\(156\) | −16.0543 | + | 10.9456i | −1.28537 | + | 0.876353i | ||||
\(157\) | 11.1090 | − | 10.3076i | 0.886594 | − | 0.822639i | −0.0984146 | − | 0.995146i | \(-0.531377\pi\) |
0.985008 | + | 0.172507i | \(0.0551866\pi\) | |||||||
\(158\) | −21.7304 | − | 14.8155i | −1.72878 | − | 1.17866i | ||||
\(159\) | −12.3096 | + | 1.85537i | −0.976212 | + | 0.147140i | ||||
\(160\) | −23.9666 | + | 11.5417i | −1.89473 | + | 0.912452i | ||||
\(161\) | 6.06781 | + | 3.26792i | 0.478210 | + | 0.257548i | ||||
\(162\) | 33.0895 | + | 15.9350i | 2.59975 | + | 1.25198i | ||||
\(163\) | −18.2740 | − | 5.63680i | −1.43133 | − | 0.441508i | −0.520351 | − | 0.853952i | \(-0.674199\pi\) |
−0.910983 | + | 0.412444i | \(0.864675\pi\) | |||||||
\(164\) | 7.32900 | − | 18.6740i | 0.572299 | − | 1.45819i | ||||
\(165\) | 1.32407 | + | 2.29336i | 0.103079 | + | 0.178538i | ||||
\(166\) | −12.0736 | + | 20.9121i | −0.937094 | + | 1.62310i | ||||
\(167\) | −10.2139 | − | 12.8078i | −0.790374 | − | 0.991098i | −0.999912 | − | 0.0132975i | \(-0.995767\pi\) |
0.209537 | − | 0.977801i | \(-0.432804\pi\) | |||||||
\(168\) | −61.9427 | − | 62.9196i | −4.77898 | − | 4.85435i | ||||
\(169\) | −7.38179 | + | 9.25647i | −0.567830 | + | 0.712036i | ||||
\(170\) | −5.78109 | − | 14.7300i | −0.443389 | − | 1.12974i | ||||
\(171\) | 1.52159 | + | 20.3042i | 0.116359 | + | 1.55270i | ||||
\(172\) | 1.44772 | + | 19.3185i | 0.110388 | + | 1.47302i | ||||
\(173\) | −0.666656 | − | 1.69861i | −0.0506850 | − | 0.129143i | 0.903289 | − | 0.429033i | \(-0.141145\pi\) |
−0.953974 | + | 0.299889i | \(0.903050\pi\) | |||||||
\(174\) | 21.5143 | − | 26.9781i | 1.63100 | − | 2.04520i | ||||
\(175\) | −7.90086 | − | 8.02547i | −0.597249 | − | 0.606669i | ||||
\(176\) | 11.6848 | + | 14.6523i | 0.880776 | + | 1.10446i | ||||
\(177\) | −10.6728 | + | 18.4859i | −0.802219 | + | 1.38948i | ||||
\(178\) | 20.8193 | + | 36.0600i | 1.56047 | + | 2.70281i | ||||
\(179\) | −6.03425 | + | 15.3750i | −0.451021 | + | 1.14918i | 0.506863 | + | 0.862027i | \(0.330805\pi\) |
−0.957884 | + | 0.287156i | \(0.907290\pi\) | |||||||
\(180\) | −31.1270 | − | 9.60142i | −2.32007 | − | 0.715647i | ||||
\(181\) | 22.3116 | + | 10.7447i | 1.65841 | + | 0.798649i | 0.998897 | + | 0.0469571i | \(0.0149524\pi\) |
0.659515 | + | 0.751692i | \(0.270762\pi\) | |||||||
\(182\) | 7.04091 | + | 3.79200i | 0.521907 | + | 0.281082i | ||||
\(183\) | −10.2068 | + | 4.91533i | −0.754508 | + | 0.363352i | ||||
\(184\) | 27.9868 | − | 4.21832i | 2.06321 | − | 0.310979i | ||||
\(185\) | 0.964270 | + | 0.657428i | 0.0708945 | + | 0.0483351i | ||||
\(186\) | 18.0950 | − | 16.7897i | 1.32679 | − | 1.23108i | ||||
\(187\) | −5.40451 | + | 3.68473i | −0.395217 | + | 0.269454i | ||||
\(188\) | 1.36734 | − | 5.99073i | 0.0997239 | − | 0.436919i | ||||
\(189\) | −0.825090 | − | 27.8891i | −0.0600165 | − | 2.02863i | ||||
\(190\) | −1.70367 | − | 7.46427i | −0.123597 | − | 0.541515i | ||||
\(191\) | −0.0767719 | − | 0.0712339i | −0.00555502 | − | 0.00515430i | 0.677390 | − | 0.735624i | \(-0.263111\pi\) |
−0.682945 | + | 0.730469i | \(0.739301\pi\) | |||||||
\(192\) | −149.073 | − | 22.4691i | −10.7584 | − | 1.62157i | ||||
\(193\) | −12.9293 | + | 3.98817i | −0.930673 | + | 0.287075i | −0.722781 | − | 0.691077i | \(-0.757137\pi\) |
−0.207892 | + | 0.978152i | \(0.566660\pi\) | |||||||
\(194\) | 1.28224 | − | 17.1103i | 0.0920597 | − | 1.22845i | ||||
\(195\) | 2.85279 | 0.204293 | ||||||||
\(196\) | −12.7297 | + | 39.0866i | −0.909267 | + | 2.79190i | ||||
\(197\) | 25.8811 | 1.84395 | 0.921975 | − | 0.387248i | \(-0.126574\pi\) | ||||
0.921975 | + | 0.387248i | \(0.126574\pi\) | |||||||
\(198\) | −1.34896 | + | 18.0006i | −0.0958664 | + | 1.27925i | ||||
\(199\) | −0.864505 | + | 0.266665i | −0.0612832 | + | 0.0189034i | −0.325245 | − | 0.945630i | \(-0.605447\pi\) |
0.263962 | + | 0.964533i | \(0.414971\pi\) | |||||||
\(200\) | −45.7331 | − | 6.89316i | −3.23382 | − | 0.487420i | ||||
\(201\) | −33.6796 | − | 31.2501i | −2.37558 | − | 2.20421i | ||||
\(202\) | 0.655956 | + | 2.87393i | 0.0461529 | + | 0.202209i | ||||
\(203\) | −10.3935 | − | 2.05090i | −0.729478 | − | 0.143945i | ||||
\(204\) | 26.2530 | − | 115.022i | 1.83808 | − | 8.05316i | ||||
\(205\) | −2.43352 | + | 1.65915i | −0.169965 | + | 0.115880i | ||||
\(206\) | 18.1845 | − | 16.8728i | 1.26698 | − | 1.17558i | ||||
\(207\) | 13.8465 | + | 9.44039i | 0.962399 | + | 0.656152i | ||||
\(208\) | 19.9638 | − | 3.00906i | 1.38424 | − | 0.208640i | ||||
\(209\) | −2.85144 | + | 1.37318i | −0.197238 | + | 0.0949849i | ||||
\(210\) | 3.50348 | + | 19.3436i | 0.241763 | + | 1.33483i | ||||
\(211\) | −12.1306 | − | 5.84181i | −0.835108 | − | 0.402167i | −0.0330798 | − | 0.999453i | \(-0.510532\pi\) |
−0.802029 | + | 0.597286i | \(0.796246\pi\) | |||||||
\(212\) | 22.7441 | + | 7.01563i | 1.56207 | + | 0.481835i | ||||
\(213\) | −2.43112 | + | 6.19440i | −0.166578 | + | 0.424434i | ||||
\(214\) | −3.00193 | − | 5.19949i | −0.205207 | − | 0.355430i | ||||
\(215\) | 1.42214 | − | 2.46322i | 0.0969893 | − | 0.167990i | ||||
\(216\) | −71.4411 | − | 89.5844i | −4.86095 | − | 6.09544i | ||||
\(217\) | −7.13337 | − | 2.55889i | −0.484245 | − | 0.173709i | ||||
\(218\) | 8.84850 | − | 11.0957i | 0.599296 | − | 0.751493i | ||||
\(219\) | 11.0495 | + | 28.1537i | 0.746658 | + | 1.90245i | ||||
\(220\) | −0.378374 | − | 5.04905i | −0.0255100 | − | 0.340407i | ||||
\(221\) | 0.526593 | + | 7.02689i | 0.0354225 | + | 0.472680i | ||||
\(222\) | 4.26166 | + | 10.8585i | 0.286024 | + | 0.728777i | ||||
\(223\) | 10.0196 | − | 12.5642i | 0.670965 | − | 0.841364i | −0.323522 | − | 0.946221i | \(-0.604867\pi\) |
0.994487 | + | 0.104857i | \(0.0334384\pi\) | |||||||
\(224\) | 26.3565 | + | 77.2562i | 1.76102 | + | 5.16190i | ||||
\(225\) | −17.0743 | − | 21.4105i | −1.13829 | − | 1.42737i | ||||
\(226\) | 0.446603 | − | 0.773539i | 0.0297076 | − | 0.0514550i | ||||
\(227\) | 5.66179 | + | 9.80651i | 0.375786 | + | 0.650881i | 0.990444 | − | 0.137913i | \(-0.0440394\pi\) |
−0.614658 | + | 0.788794i | \(0.710706\pi\) | |||||||
\(228\) | 20.8550 | − | 53.1377i | 1.38116 | − | 3.51913i | ||||
\(229\) | 8.35447 | + | 2.57701i | 0.552079 | + | 0.170294i | 0.558228 | − | 0.829687i | \(-0.311481\pi\) |
−0.00614968 | + | 0.999981i | \(0.501958\pi\) | |||||||
\(230\) | −5.67750 | − | 2.73414i | −0.374363 | − | 0.180284i | ||||
\(231\) | 7.47333 | − | 3.19122i | 0.491709 | − | 0.209967i | ||||
\(232\) | −39.1976 | + | 18.8766i | −2.57345 | + | 1.23931i | ||||
\(233\) | −5.68724 | + | 0.857213i | −0.372583 | + | 0.0561579i | −0.332665 | − | 0.943045i | \(-0.607948\pi\) |
−0.0399183 | + | 0.999203i | \(0.512710\pi\) | |||||||
\(234\) | 16.0671 | + | 10.9544i | 1.05034 | + | 0.716109i | ||||
\(235\) | −0.661342 | + | 0.613635i | −0.0431412 | + | 0.0400292i | ||||
\(236\) | 33.7209 | − | 22.9905i | 2.19504 | − | 1.49656i | ||||
\(237\) | −6.40640 | + | 28.0683i | −0.416140 | + | 1.82323i | ||||
\(238\) | −46.9998 | + | 12.2002i | −3.04654 | + | 0.790824i | ||||
\(239\) | −0.983560 | − | 4.30926i | −0.0636212 | − | 0.278743i | 0.933104 | − | 0.359607i | \(-0.117089\pi\) |
−0.996725 | + | 0.0808641i | \(0.974232\pi\) | |||||||
\(240\) | 36.3805 | + | 33.7562i | 2.34835 | + | 2.17895i | ||||
\(241\) | −22.6979 | − | 3.42116i | −1.46210 | − | 0.220376i | −0.630689 | − | 0.776035i | \(-0.717228\pi\) |
−0.831410 | + | 0.555659i | \(0.812466\pi\) | |||||||
\(242\) | −2.68114 | + | 0.827022i | −0.172350 | + | 0.0531630i | ||||
\(243\) | 0.640149 | − | 8.54220i | 0.0410656 | − | 0.547982i | ||||
\(244\) | 21.6603 | 1.38666 | ||||||||
\(245\) | 4.77693 | − | 3.68869i | 0.305187 | − | 0.235662i | ||||
\(246\) | −29.4386 | −1.87694 | ||||||||
\(247\) | −0.254788 | + | 3.39990i | −0.0162117 | + | 0.216331i | ||||
\(248\) | −29.7399 | + | 9.17353i | −1.88848 | + | 0.582520i | ||||
\(249\) | 26.1379 | + | 3.93965i | 1.65642 | + | 0.249665i | ||||
\(250\) | 16.4153 | + | 15.2311i | 1.03819 | + | 0.963301i | ||||
\(251\) | 2.65912 | + | 11.6503i | 0.167842 | + | 0.735363i | 0.986858 | + | 0.161592i | \(0.0516630\pi\) |
−0.819016 | + | 0.573771i | \(0.805480\pi\) | |||||||
\(252\) | −40.6880 | + | 91.3023i | −2.56310 | + | 5.75150i | ||||
\(253\) | −0.579639 | + | 2.53956i | −0.0364416 | + | 0.159661i | ||||
\(254\) | −35.5740 | + | 24.2540i | −2.23211 | + | 1.52183i | ||||
\(255\) | −12.6978 | + | 11.7818i | −0.795165 | + | 0.737805i | ||||
\(256\) | 95.1105 | + | 64.8453i | 5.94441 | + | 4.05283i | ||||
\(257\) | 14.0632 | − | 2.11968i | 0.877237 | − | 0.132222i | 0.305041 | − | 0.952339i | \(-0.401330\pi\) |
0.572196 | + | 0.820117i | \(0.306092\pi\) | |||||||
\(258\) | 25.6136 | − | 12.3349i | 1.59463 | − | 0.767934i | ||||
\(259\) | 2.35718 | − | 2.69614i | 0.146468 | − | 0.167530i | ||||
\(260\) | −4.91433 | − | 2.36661i | −0.304774 | − | 0.146771i | ||||
\(261\) | −24.6160 | − | 7.59303i | −1.52369 | − | 0.469997i | ||||
\(262\) | 17.4511 | − | 44.4647i | 1.07813 | − | 2.74704i | ||||
\(263\) | −8.39125 | − | 14.5341i | −0.517426 | − | 0.896209i | −0.999795 | − | 0.0202405i | \(-0.993557\pi\) |
0.482369 | − | 0.875968i | \(-0.339777\pi\) | |||||||
\(264\) | 16.6859 | − | 28.9009i | 1.02695 | − | 1.77873i | ||||
\(265\) | −2.17880 | − | 2.73213i | −0.133843 | − | 0.167834i | ||||
\(266\) | −23.3662 | + | 2.44777i | −1.43268 | + | 0.150082i | ||||
\(267\) | 28.4188 | − | 35.6361i | 1.73920 | − | 2.18089i | ||||
\(268\) | 32.0933 | + | 81.7725i | 1.96041 | + | 4.99505i | ||||
\(269\) | 0.833866 | + | 11.1272i | 0.0508417 | + | 0.678435i | 0.963156 | + | 0.268944i | \(0.0866747\pi\) |
−0.912314 | + | 0.409491i | \(0.865706\pi\) | |||||||
\(270\) | 1.90648 | + | 25.4401i | 0.116024 | + | 1.54824i | ||||
\(271\) | −4.88270 | − | 12.4409i | −0.296603 | − | 0.755731i | −0.999032 | − | 0.0439782i | \(-0.985997\pi\) |
0.702430 | − | 0.711753i | \(-0.252098\pi\) | |||||||
\(272\) | −76.4316 | + | 95.8421i | −4.63434 | + | 5.81128i | ||||
\(273\) | 1.04818 | − | 8.69117i | 0.0634390 | − | 0.526014i | ||||
\(274\) | 6.78194 | + | 8.50428i | 0.409712 | + | 0.513762i | ||||
\(275\) | 2.12831 | − | 3.68634i | 0.128342 | − | 0.222295i | ||||
\(276\) | −23.4917 | − | 40.6888i | −1.41403 | − | 2.44918i | ||||
\(277\) | 7.13867 | − | 18.1890i | 0.428921 | − | 1.09287i | −0.539152 | − | 0.842208i | \(-0.681255\pi\) |
0.968074 | − | 0.250666i | \(-0.0806495\pi\) | |||||||
\(278\) | 0.369334 | + | 0.113924i | 0.0221512 | + | 0.00683273i | ||||
\(279\) | −16.6031 | − | 7.99563i | −0.994001 | − | 0.478686i | ||||
\(280\) | 6.60207 | − | 23.8900i | 0.394549 | − | 1.42770i | ||||
\(281\) | −16.4004 | + | 7.89801i | −0.978365 | + | 0.471156i | −0.853543 | − | 0.521023i | \(-0.825551\pi\) |
−0.124823 | + | 0.992179i | \(0.539836\pi\) | |||||||
\(282\) | −8.91663 | + | 1.34397i | −0.530977 | + | 0.0800320i | ||||
\(283\) | 8.50001 | + | 5.79521i | 0.505273 | + | 0.344489i | 0.788977 | − | 0.614423i | \(-0.210611\pi\) |
−0.283704 | + | 0.958912i | \(0.591563\pi\) | |||||||
\(284\) | 9.32669 | − | 8.65391i | 0.553437 | − | 0.513515i | ||||
\(285\) | −6.92471 | + | 4.72118i | −0.410184 | + | 0.279659i | ||||
\(286\) | −0.672597 | + | 2.94684i | −0.0397715 | + | 0.174250i | ||||
\(287\) | 4.16055 | + | 8.02347i | 0.245589 | + | 0.473610i | ||||
\(288\) | 44.1683 | + | 193.514i | 2.60264 | + | 11.4029i | ||||
\(289\) | −18.9025 | − | 17.5390i | −1.11191 | − | 1.03170i | ||||
\(290\) | 9.57829 | + | 1.44370i | 0.562457 | + | 0.0847767i | ||||
\(291\) | −17.9481 | + | 5.53627i | −1.05214 | + | 0.324542i | ||||
\(292\) | 4.32141 | − | 57.6652i | 0.252891 | − | 3.37460i | ||||
\(293\) | 7.31562 | 0.427383 | 0.213692 | − | 0.976901i | \(-0.431451\pi\) | ||||
0.213692 | + | 0.976901i | \(0.431451\pi\) | |||||||
\(294\) | 60.2185 | − | 3.56621i | 3.51202 | − | 0.207986i | ||||
\(295\) | −5.99208 | −0.348872 | ||||||||
\(296\) | 1.09908 | − | 14.6661i | 0.0638824 | − | 0.852452i | ||||
\(297\) | 10.0772 | − | 3.10840i | 0.584737 | − | 0.180368i | ||||
\(298\) | 1.73048 | + | 0.260828i | 0.100244 | + | 0.0151094i | ||||
\(299\) | 2.05707 | + | 1.90868i | 0.118964 | + | 0.110382i | ||||
\(300\) | 17.0842 | + | 74.8506i | 0.986354 | + | 4.32150i | ||||
\(301\) | −6.98181 | − | 5.23768i | −0.402425 | − | 0.301895i | ||||
\(302\) | −8.85320 | + | 38.7884i | −0.509445 | + | 2.23202i | ||||
\(303\) | 2.66619 | − | 1.81778i | 0.153168 | − | 0.104428i | ||||
\(304\) | −43.4792 | + | 40.3428i | −2.49370 | + | 2.31382i | ||||
\(305\) | −2.62756 | − | 1.79144i | −0.150454 | − | 0.102578i | ||||
\(306\) | −116.755 | + | 17.5980i | −6.67446 | + | 1.00601i | ||||
\(307\) | −6.55339 | + | 3.15594i | −0.374022 | + | 0.180119i | −0.611445 | − | 0.791287i | \(-0.709411\pi\) |
0.237423 | + | 0.971406i | \(0.423697\pi\) | |||||||
\(308\) | −15.5212 | − | 0.702407i | −0.884403 | − | 0.0400233i | ||||
\(309\) | −24.4658 | − | 11.7821i | −1.39181 | − | 0.670260i | ||||
\(310\) | 6.62148 | + | 2.04246i | 0.376075 | + | 0.116004i | ||||
\(311\) | 5.79355 | − | 14.7617i | 0.328522 | − | 0.837061i | −0.667218 | − | 0.744862i | \(-0.732515\pi\) |
0.995741 | − | 0.0921989i | \(-0.0293895\pi\) | |||||||
\(312\) | −17.9754 | − | 31.1343i | −1.01766 | − | 1.76263i | ||||
\(313\) | −10.6480 | + | 18.4428i | −0.601859 | + | 1.04245i | 0.390681 | + | 0.920526i | \(0.372240\pi\) |
−0.992539 | + | 0.121924i | \(0.961094\pi\) | |||||||
\(314\) | 26.5109 | + | 33.2436i | 1.49610 | + | 1.87605i | ||||
\(315\) | 12.4871 | − | 7.71054i | 0.703567 | − | 0.434440i | ||||
\(316\) | 34.3207 | − | 43.0369i | 1.93069 | − | 2.42101i | ||||
\(317\) | −10.8542 | − | 27.6560i | −0.609631 | − | 1.55332i | −0.817972 | − | 0.575259i | \(-0.804901\pi\) |
0.208340 | − | 0.978056i | \(-0.433194\pi\) | |||||||
\(318\) | −2.61019 | − | 34.8305i | −0.146372 | − | 1.95320i | ||||
\(319\) | −0.299227 | − | 3.99291i | −0.0167535 | − | 0.223560i | ||||
\(320\) | −15.4612 | − | 39.3945i | −0.864308 | − | 2.20222i | ||||
\(321\) | −4.09770 | + | 5.13836i | −0.228712 | + | 0.286795i | ||||
\(322\) | −10.4157 | + | 16.2922i | −0.580446 | + | 0.907929i | ||||
\(323\) | −12.9073 | − | 16.1852i | −0.718180 | − | 0.900569i | ||||
\(324\) | −38.4340 | + | 66.5696i | −2.13522 | + | 3.69831i | ||||
\(325\) | −2.29279 | − | 3.97122i | −0.127181 | − | 0.220284i | ||||
\(326\) | 19.6031 | − | 49.9479i | 1.08572 | − | 2.76636i | ||||
\(327\) | −14.8452 | − | 4.57913i | −0.820939 | − | 0.253226i | ||||
\(328\) | 33.4410 | + | 16.1043i | 1.84647 | + | 0.889212i | ||||
\(329\) | 1.62648 | + | 2.24028i | 0.0896707 | + | 0.123510i | ||||
\(330\) | −6.69433 | + | 3.22382i | −0.368511 | + | 0.177465i | ||||
\(331\) | 27.0069 | − | 4.07063i | 1.48443 | − | 0.223742i | 0.643735 | − | 0.765248i | \(-0.277384\pi\) |
0.840697 | + | 0.541506i | \(0.182146\pi\) | |||||||
\(332\) | −41.7579 | − | 28.4700i | −2.29176 | − | 1.56250i | ||||
\(333\) | 6.38368 | − | 5.92319i | 0.349823 | − | 0.324589i | ||||
\(334\) | 37.9772 | − | 25.8924i | 2.07802 | − | 1.41677i | ||||
\(335\) | 2.86993 | − | 12.5740i | 0.156801 | − | 0.686990i | ||||
\(336\) | 116.207 | − | 98.4322i | 6.33961 | − | 5.36992i | ||||
\(337\) | 5.92195 | + | 25.9458i | 0.322589 | + | 1.41336i | 0.832927 | + | 0.553382i | \(0.186663\pi\) |
−0.510338 | + | 0.859974i | \(0.670480\pi\) | |||||||
\(338\) | −24.3513 | − | 22.5947i | −1.32454 | − | 1.22899i | ||||
\(339\) | −0.966840 | − | 0.145728i | −0.0525115 | − | 0.00791484i | ||||
\(340\) | 31.6476 | − | 9.76199i | 1.71633 | − | 0.529418i | ||||
\(341\) | 0.214056 | − | 2.85637i | 0.0115918 | − | 0.154681i | ||||
\(342\) | −57.1292 | −3.08919 | ||||||||
\(343\) | −9.48262 | − | 15.9085i | −0.512013 | − | 0.858977i | ||||
\(344\) | −35.8436 | −1.93256 | ||||||||
\(345\) | −0.515494 | + | 6.87879i | −0.0277533 | + | 0.370342i | ||||
\(346\) | 4.89241 | − | 1.50911i | 0.263018 | − | 0.0811302i | ||||
\(347\) | 8.32422 | + | 1.25467i | 0.446867 | + | 0.0673544i | 0.368621 | − | 0.929580i | \(-0.379830\pi\) |
0.0782460 | + | 0.996934i | \(0.475068\pi\) | |||||||
\(348\) | 52.9417 | + | 49.1227i | 2.83797 | + | 2.63326i | ||||
\(349\) | −5.43638 | − | 23.8183i | −0.291003 | − | 1.27497i | −0.883132 | − | 0.469124i | \(-0.844570\pi\) |
0.592130 | − | 0.805843i | \(-0.298287\pi\) | |||||||
\(350\) | 24.1115 | − | 20.4234i | 1.28881 | − | 1.09168i | ||||
\(351\) | 2.52798 | − | 11.0758i | 0.134934 | − | 0.591184i | ||||
\(352\) | −25.4916 | + | 17.3799i | −1.35871 | + | 0.926351i | ||||
\(353\) | −7.41473 | + | 6.87986i | −0.394646 | + | 0.366178i | −0.852391 | − | 0.522906i | \(-0.824848\pi\) |
0.457744 | + | 0.889084i | \(0.348658\pi\) | |||||||
\(354\) | −49.4846 | − | 33.7381i | −2.63008 | − | 1.79316i | ||||
\(355\) | −1.84714 | + | 0.278411i | −0.0980358 | + | 0.0147765i | ||||
\(356\) | −78.5182 | + | 37.8124i | −4.16146 | + | 2.00405i | ||||
\(357\) | 31.2284 | + | 43.0133i | 1.65278 | + | 2.27651i | ||||
\(358\) | −41.7532 | − | 20.1073i | −2.20673 | − | 1.06270i | ||||
\(359\) | 17.1581 | + | 5.29258i | 0.905570 | + | 0.279331i | 0.712350 | − | 0.701824i | \(-0.247631\pi\) |
0.193220 | + | 0.981155i | \(0.438107\pi\) | |||||||
\(360\) | 22.0189 | − | 56.1032i | 1.16050 | − | 2.95690i | ||||
\(361\) | 4.49184 | + | 7.78009i | 0.236412 | + | 0.409478i | ||||
\(362\) | −34.7414 | + | 60.1739i | −1.82597 | + | 3.16267i | ||||
\(363\) | 1.91499 | + | 2.40132i | 0.100511 | + | 0.126037i | ||||
\(364\) | −9.01565 | + | 14.1022i | −0.472549 | + | 0.739156i | ||||
\(365\) | −5.29350 | + | 6.63784i | −0.277074 | + | 0.347440i | ||||
\(366\) | −11.6127 | − | 29.5887i | −0.607006 | − | 1.54663i | ||||
\(367\) | 0.372026 | + | 4.96434i | 0.0194196 | + | 0.259136i | 0.998460 | + | 0.0554715i | \(0.0176662\pi\) |
−0.979041 | + | 0.203665i | \(0.934715\pi\) | |||||||
\(368\) | 3.64817 | + | 48.6814i | 0.190174 | + | 2.53769i | ||||
\(369\) | 8.02919 | + | 20.4580i | 0.417983 | + | 1.06500i | ||||
\(370\) | −2.04163 | + | 2.56013i | −0.106139 | + | 0.133095i | ||||
\(371\) | −9.12413 | + | 5.63399i | −0.473701 | + | 0.292502i | ||||
\(372\) | 32.2120 | + | 40.3926i | 1.67012 | + | 2.09426i | ||||
\(373\) | 0.0328041 | − | 0.0568183i | 0.00169853 | − | 0.00294194i | −0.865175 | − | 0.501470i | \(-0.832793\pi\) |
0.866873 | + | 0.498528i | \(0.166126\pi\) | |||||||
\(374\) | −9.17649 | − | 15.8941i | −0.474505 | − | 0.821867i | ||||
\(375\) | 8.95556 | − | 22.8184i | 0.462463 | − | 1.17834i | ||||
\(376\) | 10.8641 | + | 3.35113i | 0.560273 | + | 0.172821i | ||||
\(377\) | −3.88637 | − | 1.87158i | −0.200158 | − | 0.0963911i | ||||
\(378\) | 78.2052 | + | 3.53915i | 4.02244 | + | 0.182034i | ||||
\(379\) | −12.2421 | + | 5.89549i | −0.628835 | + | 0.302831i | −0.721024 | − | 0.692910i | \(-0.756328\pi\) |
0.0921884 | + | 0.995742i | \(0.470614\pi\) | |||||||
\(380\) | 15.8454 | − | 2.38830i | 0.812850 | − | 0.122517i | ||||
\(381\) | 38.9416 | + | 26.5499i | 1.99504 | + | 1.36020i | ||||
\(382\) | 0.215406 | − | 0.199868i | 0.0110211 | − | 0.0102261i | ||||
\(383\) | −0.730425 | + | 0.497995i | −0.0373230 | + | 0.0254464i | −0.581838 | − | 0.813305i | \(-0.697666\pi\) |
0.544515 | + | 0.838751i | \(0.316714\pi\) | |||||||
\(384\) | 51.9522 | − | 227.617i | 2.65117 | − | 11.6155i | ||||
\(385\) | 1.82475 | + | 1.36891i | 0.0929981 | + | 0.0697662i | ||||
\(386\) | −8.44770 | − | 37.0118i | −0.429977 | − | 1.88385i | ||||
\(387\) | −15.5579 | − | 14.4356i | −0.790853 | − | 0.733804i | ||||
\(388\) | 35.5109 | + | 5.35241i | 1.80279 | + | 0.271728i | ||||
\(389\) | −2.46954 | + | 0.761752i | −0.125211 | + | 0.0386224i | −0.356727 | − | 0.934209i | \(-0.616107\pi\) |
0.231517 | + | 0.972831i | \(0.425631\pi\) | |||||||
\(390\) | −0.598165 | + | 7.98196i | −0.0302893 | + | 0.404182i | ||||
\(391\) | −17.0387 | −0.861686 | ||||||||
\(392\) | −70.3565 | − | 28.8913i | −3.55354 | − | 1.45923i | ||||
\(393\) | −52.2884 | −2.63760 | ||||||||
\(394\) | −5.42667 | + | 72.4139i | −0.273392 | + | 3.64816i | ||||
\(395\) | −7.72280 | + | 2.38217i | −0.388576 | + | 0.119860i | ||||
\(396\) | −37.3586 | − | 5.63091i | −1.87734 | − | 0.282964i | ||||
\(397\) | 0.910508 | + | 0.844828i | 0.0456971 | + | 0.0424007i | 0.702691 | − | 0.711495i | \(-0.251982\pi\) |
−0.656994 | + | 0.753896i | \(0.728172\pi\) | |||||||
\(398\) | −0.564846 | − | 2.47475i | −0.0283132 | − | 0.124048i | ||||
\(399\) | 11.8390 | + | 22.8311i | 0.592693 | + | 1.14299i | ||||
\(400\) | 17.7512 | − | 77.7732i | 0.887561 | − | 3.88866i | ||||
\(401\) | 9.45800 | − | 6.44835i | 0.472310 | − | 0.322015i | −0.303665 | − | 0.952779i | \(-0.598210\pi\) |
0.775975 | + | 0.630763i | \(0.217258\pi\) | |||||||
\(402\) | 94.4980 | − | 87.6813i | 4.71313 | − | 4.37315i | ||||
\(403\) | −2.54956 | − | 1.73826i | −0.127003 | − | 0.0865889i | ||||
\(404\) | −6.10086 | + | 0.919557i | −0.303529 | + | 0.0457497i | ||||
\(405\) | 10.1681 | − | 4.89669i | 0.505256 | − | 0.243318i | ||||
\(406\) | 7.91759 | − | 28.6503i | 0.392943 | − | 1.42189i | ||||
\(407\) | 1.21954 | + | 0.587302i | 0.0604506 | + | 0.0291115i | ||||
\(408\) | 208.591 | + | 64.3418i | 10.3268 | + | 3.18539i | ||||
\(409\) | 2.41861 | − | 6.16251i | 0.119592 | − | 0.304716i | −0.858524 | − | 0.512773i | \(-0.828618\pi\) |
0.978117 | + | 0.208056i | \(0.0667137\pi\) | |||||||
\(410\) | −4.13195 | − | 7.15676i | −0.204063 | − | 0.353447i | ||||
\(411\) | 5.95354 | − | 10.3118i | 0.293667 | − | 0.508645i | ||||
\(412\) | 32.3715 | + | 40.5925i | 1.59483 | + | 1.99985i | ||||
\(413\) | −2.20163 | + | 18.2552i | −0.108335 | + | 0.898278i | ||||
\(414\) | −29.3170 | + | 36.7624i | −1.44085 | + | 1.80677i | ||||
\(415\) | 2.71091 | + | 6.90729i | 0.133073 | + | 0.339065i | ||||
\(416\) | 2.48379 | + | 33.1439i | 0.121778 | + | 1.62502i | ||||
\(417\) | −0.0316178 | − | 0.421910i | −0.00154833 | − | 0.0206610i | ||||
\(418\) | −3.24420 | − | 8.26610i | −0.158679 | − | 0.404308i | ||||
\(419\) | 11.1518 | − | 13.9839i | 0.544800 | − | 0.683158i | −0.430867 | − | 0.902416i | \(-0.641792\pi\) |
0.975667 | + | 0.219258i | \(0.0703635\pi\) | |||||||
\(420\) | −40.9206 | + | 4.28670i | −1.99672 | + | 0.209169i | ||||
\(421\) | 19.5391 | + | 24.5013i | 0.952278 | + | 1.19412i | 0.980897 | + | 0.194529i | \(0.0623178\pi\) |
−0.0286183 | + | 0.999590i | \(0.509111\pi\) | |||||||
\(422\) | 18.8886 | − | 32.7160i | 0.919483 | − | 1.59259i | ||||
\(423\) | 3.36592 | + | 5.82995i | 0.163657 | + | 0.283462i | ||||
\(424\) | −16.0889 | + | 40.9939i | −0.781346 | + | 1.99084i | ||||
\(425\) | 26.6060 | + | 8.20687i | 1.29058 | + | 0.398092i | ||||
\(426\) | −16.8219 | − | 8.10098i | −0.815022 | − | 0.392494i | ||||
\(427\) | −6.42315 | + | 7.34679i | −0.310838 | + | 0.355536i | ||||
\(428\) | 11.3215 | − | 5.45216i | 0.547247 | − | 0.263540i | ||||
\(429\) | 3.27180 | − | 0.493145i | 0.157964 | − | 0.0238093i | ||||
\(430\) | 6.59378 | + | 4.49556i | 0.317980 | + | 0.216795i | ||||
\(431\) | 7.64956 | − | 7.09776i | 0.368466 | − | 0.341887i | −0.474108 | − | 0.880467i | \(-0.657229\pi\) |
0.842575 | + | 0.538580i | \(0.181039\pi\) | |||||||
\(432\) | 163.295 | − | 111.333i | 7.85654 | − | 5.35650i | ||||
\(433\) | −3.71959 | + | 16.2966i | −0.178752 | + | 0.783164i | 0.803455 | + | 0.595365i | \(0.202993\pi\) |
−0.982207 | + | 0.187799i | \(0.939865\pi\) | |||||||
\(434\) | 8.65534 | − | 19.4222i | 0.415470 | − | 0.932298i | ||||
\(435\) | −2.35949 | − | 10.3376i | −0.113129 | − | 0.495650i | ||||
\(436\) | 21.7741 | + | 20.2034i | 1.04279 | + | 0.967568i | ||||
\(437\) | −8.15198 | − | 1.22871i | −0.389962 | − | 0.0587773i | ||||
\(438\) | −81.0895 | + | 25.0128i | −3.87461 | + | 1.19516i | ||||
\(439\) | −0.322168 | + | 4.29904i | −0.0153763 | + | 0.205182i | 0.984224 | + | 0.176925i | \(0.0566149\pi\) |
−0.999601 | + | 0.0282574i | \(0.991004\pi\) | |||||||
\(440\) | 9.36804 | 0.446604 | ||||||||
\(441\) | −18.9025 | − | 40.8755i | −0.900119 | − | 1.94645i | ||||
\(442\) | −19.7713 | −0.940424 | ||||||||
\(443\) | 1.36976 | − | 18.2781i | 0.0650791 | − | 0.868421i | −0.865167 | − | 0.501484i | \(-0.832788\pi\) |
0.930246 | − | 0.366937i | \(-0.119593\pi\) | |||||||
\(444\) | −23.3297 | + | 7.19626i | −1.10718 | + | 0.341520i | ||||
\(445\) | 12.6522 | + | 1.90702i | 0.599773 | + | 0.0904012i | ||||
\(446\) | 33.0532 | + | 30.6689i | 1.56511 | + | 1.45221i | ||||
\(447\) | −0.426282 | − | 1.86766i | −0.0201624 | − | 0.0883374i | ||||
\(448\) | −125.698 | + | 32.6289i | −5.93869 | + | 1.54157i | ||||
\(449\) | −3.37670 | + | 14.7943i | −0.159356 | + | 0.698186i | 0.830607 | + | 0.556860i | \(0.187994\pi\) |
−0.989963 | + | 0.141327i | \(0.954863\pi\) | |||||||
\(450\) | 63.4855 | − | 43.2837i | 2.99273 | − | 2.04041i | ||||
\(451\) | −2.50415 | + | 2.32351i | −0.117916 | + | 0.109410i | ||||
\(452\) | 1.54462 | + | 1.05311i | 0.0726529 | + | 0.0495339i | ||||
\(453\) | 43.0658 | − | 6.49113i | 2.02341 | − | 0.304980i | ||||
\(454\) | −28.6252 | + | 13.7852i | −1.34345 | + | 0.646971i | ||||
\(455\) | 2.26001 | − | 0.965057i | 0.105951 | − | 0.0452426i | ||||
\(456\) | 95.1578 | + | 45.8256i | 4.45617 | + | 2.14598i | ||||
\(457\) | −37.1564 | − | 11.4612i | −1.73810 | − | 0.536134i | −0.746493 | − | 0.665393i | \(-0.768264\pi\) |
−0.991611 | + | 0.129259i | \(0.958740\pi\) | |||||||
\(458\) | −8.96208 | + | 22.8350i | −0.418771 | + | 1.06701i | ||||
\(459\) | 34.4902 | + | 59.7389i | 1.60987 | + | 2.78837i | ||||
\(460\) | 6.59451 | − | 11.4220i | 0.307471 | − | 0.532555i | ||||
\(461\) | 15.3086 | + | 19.1963i | 0.712991 | + | 0.894063i | 0.997919 | − | 0.0644865i | \(-0.0205409\pi\) |
−0.284927 | + | 0.958549i | \(0.591970\pi\) | |||||||
\(462\) | 7.36187 | + | 21.5791i | 0.342505 | + | 1.00395i | ||||
\(463\) | 18.3124 | − | 22.9630i | 0.851048 | − | 1.06718i | −0.145914 | − | 0.989297i | \(-0.546612\pi\) |
0.996962 | − | 0.0778837i | \(-0.0248163\pi\) | |||||||
\(464\) | −27.4155 | − | 69.8536i | −1.27273 | − | 3.24287i | ||||
\(465\) | −0.566850 | − | 7.56409i | −0.0262870 | − | 0.350776i | ||||
\(466\) | −1.20595 | − | 16.0923i | −0.0558647 | − | 0.745463i | ||||
\(467\) | −2.13895 | − | 5.44995i | −0.0989787 | − | 0.252194i | 0.872804 | − | 0.488070i | \(-0.162299\pi\) |
−0.971783 | + | 0.235877i | \(0.924204\pi\) | |||||||
\(468\) | −25.3762 | + | 31.8208i | −1.17302 | + | 1.47092i | ||||
\(469\) | −37.2528 | − | 13.3634i | −1.72017 | − | 0.617063i | ||||
\(470\) | −1.57825 | − | 1.97906i | −0.0727993 | − | 0.0912874i | ||||
\(471\) | 23.2727 | − | 40.3095i | 1.07235 | − | 1.85736i | ||||
\(472\) | 37.7560 | + | 65.3954i | 1.73786 | + | 3.01007i | ||||
\(473\) | 1.20522 | − | 3.07085i | 0.0554161 | − | 0.141198i | ||||
\(474\) | −77.1902 | − | 23.8100i | −3.54547 | − | 1.09363i | ||||
\(475\) | 12.1375 | + | 5.84511i | 0.556907 | + | 0.268192i | ||||
\(476\) | −18.1123 | − | 100.003i | −0.830176 | − | 4.58362i | ||||
\(477\) | −23.4932 | + | 11.3137i | −1.07568 | + | 0.518020i | ||||
\(478\) | 12.2633 | − | 1.84840i | 0.560910 | − | 0.0845436i | ||||
\(479\) | 25.2636 | + | 17.2244i | 1.15432 | + | 0.787005i | 0.980257 | − | 0.197729i | \(-0.0633566\pi\) |
0.174067 | + | 0.984734i | \(0.444309\pi\) | |||||||
\(480\) | −59.8919 | + | 55.5716i | −2.73368 | + | 2.53648i | ||||
\(481\) | 1.20482 | − | 0.821432i | 0.0549350 | − | 0.0374541i | ||||
\(482\) | 14.3314 | − | 62.7901i | 0.652779 | − | 2.86001i | ||||
\(483\) | 20.7672 | + | 4.09791i | 0.944940 | + | 0.186461i | ||||
\(484\) | −1.30675 | − | 5.72524i | −0.0593976 | − | 0.260238i | ||||
\(485\) | −3.86508 | − | 3.58627i | −0.175504 | − | 0.162844i | ||||
\(486\) | 23.7664 | + | 3.58221i | 1.07807 | + | 0.162492i | ||||
\(487\) | 5.04365 | − | 1.55576i | 0.228549 | − | 0.0704982i | −0.178365 | − | 0.983964i | \(-0.557081\pi\) |
0.406915 | + | 0.913466i | \(0.366605\pi\) | |||||||
\(488\) | −2.99490 | + | 39.9642i | −0.135573 | + | 1.80909i | ||||
\(489\) | −58.7364 | −2.65615 | ||||||||
\(490\) | 9.31914 | + | 14.1390i | 0.420996 | + | 0.638737i | ||||
\(491\) | 17.0192 | 0.768065 | 0.384032 | − | 0.923320i | \(-0.374535\pi\) | ||||
0.384032 | + | 0.923320i | \(0.374535\pi\) | |||||||
\(492\) | 4.60446 | − | 61.4422i | 0.207585 | − | 2.77003i | ||||
\(493\) | 25.0277 | − | 7.72002i | 1.12719 | − | 0.347692i | ||||
\(494\) | −9.45933 | − | 1.42576i | −0.425595 | − | 0.0641481i | ||||
\(495\) | 4.06619 | + | 3.77287i | 0.182762 | + | 0.169578i | ||||
\(496\) | −11.9452 | − | 52.3355i | −0.536357 | − | 2.34993i | ||||
\(497\) | 0.169511 | + | 5.72969i | 0.00760361 | + | 0.257012i | ||||
\(498\) | −16.5035 | + | 72.3064i | −0.739538 | + | 3.24013i | ||||
\(499\) | −18.0981 | + | 12.3391i | −0.810181 | + | 0.552372i | −0.896060 | − | 0.443933i | \(-0.853583\pi\) |
0.0858785 | + | 0.996306i | \(0.472630\pi\) | |||||||
\(500\) | −34.3568 | + | 31.8785i | −1.53648 | + | 1.42565i | ||||
\(501\) | −41.5723 | − | 28.3435i | −1.85731 | − | 1.26629i | ||||
\(502\) | −33.1546 | + | 4.99725i | −1.47976 | + | 0.223038i | ||||
\(503\) | 21.5478 | − | 10.3769i | 0.960769 | − | 0.462682i | 0.113320 | − | 0.993559i | \(-0.463852\pi\) |
0.847449 | + | 0.530877i | \(0.178137\pi\) | |||||||
\(504\) | −162.831 | − | 87.6953i | −7.25307 | − | 3.90626i | ||||
\(505\) | 0.816137 | + | 0.393031i | 0.0363176 | + | 0.0174896i | ||||
\(506\) | −6.98403 | − | 2.15429i | −0.310478 | − | 0.0957698i | ||||
\(507\) | −13.2852 | + | 33.8501i | −0.590015 | + | 1.50333i | ||||
\(508\) | −45.0570 | − | 78.0411i | −1.99908 | − | 3.46251i | ||||
\(509\) | −19.6496 | + | 34.0341i | −0.870954 | + | 1.50854i | −0.00994186 | + | 0.999951i | \(0.503165\pi\) |
−0.861012 | + | 0.508585i | \(0.830169\pi\) | |||||||
\(510\) | −30.3024 | − | 37.9980i | −1.34181 | − | 1.68258i | ||||
\(511\) | 18.2776 | + | 18.5658i | 0.808551 | + | 0.821303i | ||||
\(512\) | −106.588 | + | 133.657i | −4.71055 | + | 5.90685i | ||||
\(513\) | 12.1935 | + | 31.0685i | 0.538356 | + | 1.37171i | ||||
\(514\) | 2.98203 | + | 39.7925i | 0.131532 | + | 1.75517i | ||||
\(515\) | −0.569656 | − | 7.60153i | −0.0251020 | − | 0.334963i | ||||
\(516\) | 21.7382 | + | 55.3881i | 0.956973 | + | 2.43833i | ||||
\(517\) | −0.652403 | + | 0.818087i | −0.0286926 | + | 0.0359794i | ||||
\(518\) | 7.04941 | + | 7.16059i | 0.309733 | + | 0.314618i | ||||
\(519\) | −3.49438 | − | 4.38181i | −0.153386 | − | 0.192340i | ||||
\(520\) | 5.04600 | − | 8.73992i | 0.221282 | − | 0.383271i | ||||
\(521\) | 2.13366 | + | 3.69560i | 0.0934773 | + | 0.161907i | 0.908972 | − | 0.416857i | \(-0.136868\pi\) |
−0.815495 | + | 0.578764i | \(0.803535\pi\) | |||||||
\(522\) | 26.4063 | − | 67.2822i | 1.15577 | − | 2.94486i | ||||
\(523\) | 39.4567 | + | 12.1708i | 1.72532 | + | 0.532191i | 0.989443 | − | 0.144922i | \(-0.0462931\pi\) |
0.735879 | + | 0.677113i | \(0.236769\pi\) | |||||||
\(524\) | 90.0740 | + | 43.3774i | 3.93490 | + | 1.89495i | ||||
\(525\) | −30.4542 | − | 16.4016i | −1.32913 | − | 0.715824i | ||||
\(526\) | 42.4250 | − | 20.4308i | 1.84982 | − | 0.890825i | ||||
\(527\) | 18.5270 | − | 2.79249i | 0.807047 | − | 0.121643i | ||||
\(528\) | 47.5592 | + | 32.4253i | 2.06975 | + | 1.41113i | ||||
\(529\) | 11.8862 | − | 11.0288i | 0.516790 | − | 0.479511i | ||||
\(530\) | 8.10121 | − | 5.52331i | 0.351894 | − | 0.239917i | ||||
\(531\) | −9.94928 | + | 43.5906i | −0.431762 | + | 1.89167i | ||||
\(532\) | −1.45412 | − | 49.1512i | −0.0630443 | − | 2.13098i | ||||
\(533\) | 0.818888 | + | 3.58778i | 0.0354700 | + | 0.155404i | ||||
\(534\) | 93.7490 | + | 86.9864i | 4.05692 | + | 3.76427i | ||||
\(535\) | −1.82432 | − | 0.274972i | −0.0788723 | − | 0.0118881i | ||||
\(536\) | −155.311 | + | 47.9072i | −6.70843 | + | 2.06928i | ||||
\(537\) | −3.79103 | + | 50.5877i | −0.163595 | + | 2.18302i | ||||
\(538\) | −31.3081 | −1.34979 | ||||||||
\(539\) | 4.84092 | − | 5.05624i | 0.208513 | − | 0.217788i | ||||
\(540\) | −53.3951 | −2.29776 | ||||||||
\(541\) | −2.95322 | + | 39.4079i | −0.126969 | + | 1.69428i | 0.462604 | + | 0.886565i | \(0.346915\pi\) |
−0.589573 | + | 0.807715i | \(0.700704\pi\) | |||||||
\(542\) | 35.8328 | − | 11.0529i | 1.53915 | − | 0.474765i | ||||
\(543\) | 75.2108 | + | 11.3362i | 3.22761 | + | 0.486483i | ||||
\(544\) | −147.937 | − | 137.266i | −6.34276 | − | 5.88522i | ||||
\(545\) | −0.970421 | − | 4.25169i | −0.0415683 | − | 0.182123i | ||||
\(546\) | 24.0977 | + | 4.75510i | 1.03128 | + | 0.203500i | ||||
\(547\) | 2.56424 | − | 11.2347i | 0.109639 | − | 0.480359i | −0.890061 | − | 0.455842i | \(-0.849338\pi\) |
0.999699 | − | 0.0245170i | \(-0.00780479\pi\) | |||||||
\(548\) | −18.8103 | + | 12.8246i | −0.803535 | + | 0.547841i | ||||
\(549\) | −17.3951 | + | 16.1402i | −0.742403 | + | 0.688849i | ||||
\(550\) | 9.86793 | + | 6.72784i | 0.420770 | + | 0.286876i | ||||
\(551\) | 12.5309 | − | 1.88873i | 0.533834 | − | 0.0804625i | ||||
\(552\) | 78.3208 | − | 37.7173i | 3.33355 | − | 1.60535i | ||||
\(553\) | 4.41986 | + | 24.4032i | 0.187951 | + | 1.03773i | ||||
\(554\) | 49.3952 | + | 23.7875i | 2.09860 | + | 1.01063i | ||||
\(555\) | 3.42526 | + | 1.05655i | 0.145394 | + | 0.0448481i | ||||
\(556\) | −0.295542 | + | 0.753028i | −0.0125338 | + | 0.0319355i | ||||
\(557\) | 2.47090 | + | 4.27972i | 0.104695 | + | 0.181338i | 0.913614 | − | 0.406583i | \(-0.133280\pi\) |
−0.808918 | + | 0.587921i | \(0.799947\pi\) | |||||||
\(558\) | 25.8526 | − | 44.7781i | 1.09443 | − | 1.89561i | ||||
\(559\) | −2.21578 | − | 2.77850i | −0.0937174 | − | 0.117518i | ||||
\(560\) | 40.2402 | + | 14.4350i | 1.70046 | + | 0.609991i | ||||
\(561\) | −12.5261 | + | 15.7073i | −0.528854 | + | 0.663162i | ||||
\(562\) | −18.6594 | − | 47.5435i | −0.787101 | − | 2.00550i | ||||
\(563\) | 2.87776 | + | 38.4010i | 0.121283 | + | 1.61841i | 0.643396 | + | 0.765533i | \(0.277525\pi\) |
−0.522113 | + | 0.852876i | \(0.674856\pi\) | |||||||
\(564\) | −1.41039 | − | 18.8204i | −0.0593882 | − | 0.792480i | ||||
\(565\) | −0.100277 | − | 0.255500i | −0.00421866 | − | 0.0107490i | ||||
\(566\) | −17.9969 | + | 22.5674i | −0.756468 | + | 0.948580i | ||||
\(567\) | −11.1820 | − | 32.7767i | −0.469601 | − | 1.37649i | ||||
\(568\) | 14.6773 | + | 18.4047i | 0.615844 | + | 0.772245i | ||||
\(569\) | −7.78847 | + | 13.4900i | −0.326510 | + | 0.565531i | −0.981817 | − | 0.189831i | \(-0.939206\pi\) |
0.655307 | + | 0.755363i | \(0.272539\pi\) | |||||||
\(570\) | −11.7577 | − | 20.3649i | −0.492475 | − | 0.852991i | ||||
\(571\) | 6.61345 | − | 16.8508i | 0.276764 | − | 0.705184i | −0.723131 | − | 0.690711i | \(-0.757298\pi\) |
0.999895 | − | 0.0144728i | \(-0.00460700\pi\) | |||||||
\(572\) | −6.04523 | − | 1.86471i | −0.252764 | − | 0.0779673i | ||||
\(573\) | −0.289810 | − | 0.139565i | −0.0121070 | − | 0.00583043i | ||||
\(574\) | −23.3216 | + | 9.95865i | −0.973425 | + | 0.415666i | ||||
\(575\) | 9.98991 | − | 4.81089i | 0.416608 | − | 0.200628i | ||||
\(576\) | −312.256 | + | 47.0650i | −13.0107 | + | 1.96104i | ||||
\(577\) | 21.9259 | + | 14.9488i | 0.912787 | + | 0.622328i | 0.925975 | − | 0.377585i | \(-0.123245\pi\) |
−0.0131874 | + | 0.999913i | \(0.504198\pi\) | |||||||
\(578\) | 53.0365 | − | 49.2107i | 2.20603 | − | 2.04689i | ||||
\(579\) | −34.3364 | + | 23.4101i | −1.42697 | + | 0.972892i | ||||
\(580\) | −4.51131 | + | 19.7653i | −0.187322 | + | 0.820711i | ||||
\(581\) | 22.0395 | − | 5.72102i | 0.914351 | − | 0.237348i | ||||
\(582\) | −11.7269 | − | 51.3788i | −0.486095 | − | 2.12972i | ||||
\(583\) | −2.97111 | − | 2.75679i | −0.123051 | − | 0.114174i | ||||
\(584\) | 105.797 | + | 15.9464i | 4.37792 | + | 0.659866i | ||||
\(585\) | 5.71012 | − | 1.76134i | 0.236084 | − | 0.0728224i | ||||
\(586\) | −1.53392 | + | 20.4687i | −0.0633656 | + | 0.845555i | ||||
\(587\) | 10.2306 | 0.422261 | 0.211130 | − | 0.977458i | \(-0.432286\pi\) | ||||
0.211130 | + | 0.977458i | \(0.432286\pi\) | |||||||
\(588\) | −1.97555 | + | 126.242i | −0.0814703 | + | 5.20612i | ||||
\(589\) | 9.06537 | 0.373532 | ||||||||
\(590\) | 1.25640 | − | 16.7655i | 0.0517252 | − | 0.690225i | ||||
\(591\) | 75.9596 | − | 23.4304i | 3.12456 | − | 0.963800i | ||||
\(592\) | 25.0843 | + | 3.78085i | 1.03096 | + | 0.155392i | ||||
\(593\) | 18.6776 | + | 17.3302i | 0.766995 | + | 0.711668i | 0.963168 | − | 0.268902i | \(-0.0866607\pi\) |
−0.196172 | + | 0.980569i | \(0.562851\pi\) | |||||||
\(594\) | 6.58418 | + | 28.8472i | 0.270152 | + | 1.18361i | ||||
\(595\) | −6.07370 | + | 13.6291i | −0.248997 | + | 0.558740i | ||||
\(596\) | −0.815044 | + | 3.57094i | −0.0333855 | + | 0.146271i | ||||
\(597\) | −2.29586 | + | 1.56529i | −0.0939635 | + | 0.0640632i | ||||
\(598\) | −5.77172 | + | 5.35537i | −0.236023 | + | 0.218998i | ||||
\(599\) | 17.7865 | + | 12.1266i | 0.726736 | + | 0.495480i | 0.869287 | − | 0.494307i | \(-0.164578\pi\) |
−0.142551 | + | 0.989787i | \(0.545531\pi\) | |||||||
\(600\) | −140.465 | + | 21.1717i | −5.73445 | + | 0.864330i | ||||
\(601\) | 16.3038 | − | 7.85148i | 0.665045 | − | 0.320269i | −0.0707295 | − | 0.997496i | \(-0.522533\pi\) |
0.735774 | + | 0.677227i | \(0.236818\pi\) | |||||||
\(602\) | 16.1187 | − | 18.4365i | 0.656948 | − | 0.751416i | ||||
\(603\) | −86.7068 | − | 41.7558i | −3.53098 | − | 1.70043i | ||||
\(604\) | −79.5717 | − | 24.5446i | −3.23773 | − | 0.998707i | ||||
\(605\) | −0.314995 | + | 0.802593i | −0.0128064 | + | 0.0326301i | ||||
\(606\) | 4.52700 | + | 7.84100i | 0.183897 | + | 0.318519i | ||||
\(607\) | −3.60402 | + | 6.24234i | −0.146282 | + | 0.253369i | −0.929851 | − | 0.367937i | \(-0.880064\pi\) |
0.783568 | + | 0.621306i | \(0.213398\pi\) | |||||||
\(608\) | −60.8801 | − | 76.3412i | −2.46901 | − | 3.09605i | ||||
\(609\) | −32.3610 | + | 3.39002i | −1.31133 | + | 0.137371i | ||||
\(610\) | 5.56330 | − | 6.97616i | 0.225252 | − | 0.282457i | ||||
\(611\) | 0.411825 | + | 1.04931i | 0.0166607 | + | 0.0424507i | ||||
\(612\) | −18.4678 | − | 246.436i | −0.746517 | − | 9.96158i | ||||
\(613\) | 2.73265 | + | 36.4647i | 0.110371 | + | 1.47279i | 0.727595 | + | 0.686007i | \(0.240638\pi\) |
−0.617224 | + | 0.786788i | \(0.711743\pi\) | |||||||
\(614\) | −7.45607 | − | 18.9978i | −0.300903 | − | 0.766687i | ||||
\(615\) | −5.64022 | + | 7.07261i | −0.227436 | + | 0.285195i | ||||
\(616\) | 3.44204 | − | 28.5402i | 0.138684 | − | 1.14992i | ||||
\(617\) | 0.747914 | + | 0.937855i | 0.0301099 | + | 0.0377566i | 0.796658 | − | 0.604430i | \(-0.206599\pi\) |
−0.766549 | + | 0.642186i | \(0.778028\pi\) | |||||||
\(618\) | 38.0956 | − | 65.9835i | 1.53243 | − | 2.65424i | ||||
\(619\) | −16.0834 | − | 27.8572i | −0.646445 | − | 1.11967i | −0.983966 | − | 0.178357i | \(-0.942922\pi\) |
0.337521 | − | 0.941318i | \(-0.390412\pi\) | |||||||
\(620\) | −5.29853 | + | 13.5004i | −0.212794 | + | 0.542190i | ||||
\(621\) | 26.2498 | + | 8.09698i | 1.05337 | + | 0.324921i | ||||
\(622\) | 40.0878 | + | 19.3053i | 1.60737 | + | 0.774070i | ||||
\(623\) | 10.4585 | − | 37.8449i | 0.419013 | − | 1.51623i | ||||
\(624\) | 55.8685 | − | 26.9049i | 2.23653 | − | 1.07706i | ||||
\(625\) | −14.2411 | + | 2.14650i | −0.569643 | + | 0.0858599i | ||||
\(626\) | −49.3694 | − | 33.6595i | −1.97320 | − | 1.34530i | ||||
\(627\) | −7.12567 | + | 6.61165i | −0.284572 | + | 0.264044i | ||||
\(628\) | −73.5303 | + | 50.1321i | −2.93418 | + | 2.00049i | ||||
\(629\) | −1.97020 | + | 8.63200i | −0.0785569 | + | 0.344180i | ||||
\(630\) | 18.9554 | + | 36.5549i | 0.755202 | + | 1.45638i | ||||
\(631\) | −8.30129 | − | 36.3703i | −0.330469 | − | 1.44788i | −0.818224 | − | 0.574900i | \(-0.805041\pi\) |
0.487755 | − | 0.872981i | \(-0.337816\pi\) | |||||||
\(632\) | 74.6595 | + | 69.2739i | 2.96979 | + | 2.75557i | ||||
\(633\) | −40.8915 | − | 6.16340i | −1.62529 | − | 0.244973i | ||||
\(634\) | 79.6559 | − | 24.5706i | 3.16354 | − | 0.975822i | ||||
\(635\) | −0.988717 | + | 13.1935i | −0.0392361 | + | 0.523569i | ||||
\(636\) | 73.1041 | 2.89877 | ||||||||
\(637\) | −2.10971 | − | 7.23983i | −0.0835898 | − | 0.286852i | ||||
\(638\) | 11.2347 | 0.444786 | ||||||||
\(639\) | −1.04164 | + | 13.8997i | −0.0412065 | + | 0.549862i | ||||
\(640\) | 62.6274 | − | 19.3180i | 2.47557 | − | 0.763611i | ||||
\(641\) | 20.6149 | + | 3.10720i | 0.814241 | + | 0.122727i | 0.542944 | − | 0.839769i | \(-0.317310\pi\) |
0.271296 | + | 0.962496i | \(0.412548\pi\) | |||||||
\(642\) | −13.5177 | − | 12.5426i | −0.533499 | − | 0.495015i | ||||
\(643\) | −1.88313 | − | 8.25051i | −0.0742632 | − | 0.325368i | 0.924127 | − | 0.382085i | \(-0.124794\pi\) |
−0.998390 | + | 0.0567169i | \(0.981937\pi\) | |||||||
\(644\) | −32.3748 | − | 24.2872i | −1.27575 | − | 0.957051i | ||||
\(645\) | 1.94393 | − | 8.51691i | 0.0765422 | − | 0.335353i | ||||
\(646\) | 47.9917 | − | 32.7202i | 1.88821 | − | 1.28736i | ||||
\(647\) | 20.8818 | − | 19.3755i | 0.820948 | − | 0.761728i | −0.153066 | − | 0.988216i | \(-0.548915\pi\) |
0.974014 | + | 0.226488i | \(0.0727243\pi\) | |||||||
\(648\) | −117.510 | − | 80.1168i | −4.61622 | − | 3.14728i | ||||
\(649\) | −6.87218 | + | 1.03581i | −0.269757 | + | 0.0406593i | ||||
\(650\) | 11.5920 | − | 5.58242i | 0.454676 | − | 0.218960i | ||||
\(651\) | −23.2527 | − | 1.05229i | −0.911344 | − | 0.0412425i | ||||
\(652\) | 101.182 | + | 48.7265i | 3.96258 | + | 1.90828i | ||||
\(653\) | −22.7789 | − | 7.02635i | −0.891406 | − | 0.274962i | −0.184974 | − | 0.982743i | \(-0.559220\pi\) |
−0.706432 | + | 0.707781i | \(0.749696\pi\) | |||||||
\(654\) | 15.9248 | − | 40.5758i | 0.622711 | − | 1.58664i | ||||
\(655\) | −7.33911 | − | 12.7117i | −0.286763 | − | 0.496688i | ||||
\(656\) | −32.0101 | + | 55.4432i | −1.24979 | + | 2.16469i | ||||
\(657\) | 39.4990 | + | 49.5302i | 1.54100 | + | 1.93236i | ||||
\(658\) | −6.60921 | + | 4.08107i | −0.257654 | + | 0.159097i | ||||
\(659\) | 8.61259 | − | 10.7998i | 0.335499 | − | 0.420702i | −0.585253 | − | 0.810851i | \(-0.699005\pi\) |
0.920752 | + | 0.390148i | \(0.127576\pi\) | |||||||
\(660\) | −5.68147 | − | 14.4762i | −0.221151 | − | 0.563484i | ||||
\(661\) | −0.197552 | − | 2.63615i | −0.00768389 | − | 0.102534i | 0.992043 | − | 0.125898i | \(-0.0401814\pi\) |
−0.999727 | + | 0.0233641i | \(0.992562\pi\) | |||||||
\(662\) | 5.72669 | + | 76.4173i | 0.222574 | + | 2.97004i | ||||
\(663\) | 7.90705 | + | 20.1468i | 0.307084 | + | 0.782438i | ||||
\(664\) | 58.3022 | − | 73.1087i | 2.26256 | − | 2.83717i | ||||
\(665\) | −3.88872 | + | 6.08270i | −0.150798 | + | 0.235877i | ||||
\(666\) | 15.2342 | + | 19.1031i | 0.590315 | + | 0.740232i | ||||
\(667\) | 5.21510 | − | 9.03281i | 0.201929 | − | 0.349752i | ||||
\(668\) | 48.1008 | + | 83.3131i | 1.86108 | + | 3.22348i | ||||
\(669\) | 18.0326 | − | 45.9463i | 0.697180 | − | 1.77639i | ||||
\(670\) | 34.5796 | + | 10.6664i | 1.33593 | + | 0.412078i | ||||
\(671\) | −3.32317 | − | 1.60035i | −0.128290 | − | 0.0617810i | ||||
\(672\) | 147.296 | + | 202.882i | 5.68206 | + | 7.82635i | ||||
\(673\) | −7.36265 | + | 3.54566i | −0.283809 | + | 0.136675i | −0.570373 | − | 0.821386i | \(-0.693201\pi\) |
0.286564 | + | 0.958061i | \(0.407487\pi\) | |||||||
\(674\) | −73.8366 | + | 11.1291i | −2.84408 | + | 0.428676i | ||||
\(675\) | −37.0891 | − | 25.2869i | −1.42756 | − | 0.973293i | ||||
\(676\) | 50.9669 | − | 47.2903i | 1.96026 | − | 1.81886i | ||||
\(677\) | −23.5804 | + | 16.0768i | −0.906266 | + | 0.617882i | −0.924180 | − | 0.381958i | \(-0.875250\pi\) |
0.0179134 | + | 0.999840i | \(0.494298\pi\) | |||||||
\(678\) | 0.610463 | − | 2.67461i | 0.0234447 | − | 0.102718i | ||||
\(679\) | −12.3459 | + | 10.4575i | −0.473792 | + | 0.401322i | ||||
\(680\) | 13.6355 | + | 59.7410i | 0.522897 | + | 2.29096i | ||||
\(681\) | 25.4950 | + | 23.6559i | 0.976971 | + | 0.906496i | ||||
\(682\) | 7.94710 | + | 1.19783i | 0.304310 | + | 0.0458674i | ||||
\(683\) | 6.42533 | − | 1.98195i | 0.245858 | − | 0.0758373i | −0.169377 | − | 0.985551i | \(-0.554175\pi\) |
0.415235 | + | 0.909714i | \(0.363699\pi\) | |||||||
\(684\) | 8.93550 | − | 119.236i | 0.341657 | − | 4.55910i | ||||
\(685\) | 3.34252 | 0.127711 | ||||||||
\(686\) | 46.4994 | − | 23.1962i | 1.77535 | − | 0.885636i | ||||
\(687\) | 26.8529 | 1.02450 | ||||||||
\(688\) | 4.62015 | − | 61.6516i | 0.176142 | − | 2.35045i | ||||
\(689\) | −4.17231 | + | 1.28699i | −0.158952 | + | 0.0490303i | ||||
\(690\) | −19.1384 | − | 2.88465i | −0.728587 | − | 0.109817i | ||||
\(691\) | −37.6772 | − | 34.9593i | −1.43331 | − | 1.32991i | −0.859715 | − | 0.510774i | \(-0.829359\pi\) |
−0.573592 | − | 0.819141i | \(-0.694451\pi\) | |||||||
\(692\) | 2.38449 | + | 10.4471i | 0.0906447 | + | 0.397140i | ||||
\(693\) | 12.9883 | − | 11.0016i | 0.493383 | − | 0.417917i | ||||
\(694\) | −5.25591 | + | 23.0276i | −0.199512 | + | 0.874117i | ||||
\(695\) | 0.0981318 | − | 0.0669051i | 0.00372235 | − | 0.00253786i | ||||
\(696\) | −97.9537 | + | 90.8878i | −3.71293 | + | 3.44509i | ||||
\(697\) | −18.4621 | − | 12.5873i | −0.699303 | − | 0.476777i | ||||
\(698\) | 67.7823 | − | 10.2165i | 2.56560 | − | 0.386702i | ||||
\(699\) | −15.9157 | + | 7.66460i | −0.601987 | + | 0.289902i | ||||
\(700\) | 38.8551 | + | 53.5182i | 1.46859 | + | 2.02280i | ||||
\(701\) | −24.1500 | − | 11.6300i | −0.912132 | − | 0.439259i | −0.0818761 | − | 0.996643i | \(-0.526091\pi\) |
−0.830255 | + | 0.557383i | \(0.811805\pi\) | |||||||
\(702\) | 30.4595 | + | 9.39551i | 1.14962 | + | 0.354611i | ||||
\(703\) | −1.56510 | + | 3.98780i | −0.0590287 | + | 0.150403i | ||||
\(704\) | −24.5420 | − | 42.5080i | −0.924962 | − | 1.60208i | ||||
\(705\) | −1.38547 | + | 2.39971i | −0.0521799 | + | 0.0903782i | ||||
\(706\) | −17.6948 | − | 22.1886i | −0.665952 | − | 0.835078i | ||||
\(707\) | 1.49726 | − | 2.34199i | 0.0563101 | − | 0.0880797i | ||||
\(708\) | 78.1555 | − | 98.0039i | 2.93726 | − | 3.68321i | ||||
\(709\) | 2.46080 | + | 6.27001i | 0.0924172 | + | 0.235475i | 0.969607 | − | 0.244669i | \(-0.0786794\pi\) |
−0.877189 | + | 0.480145i | \(0.840584\pi\) | |||||||
\(710\) | −0.391677 | − | 5.22657i | −0.0146994 | − | 0.196149i | ||||
\(711\) | 4.50661 | + | 60.1365i | 0.169011 | + | 2.25530i | ||||
\(712\) | −58.9091 | − | 150.098i | −2.20771 | − | 5.62515i | ||||
\(713\) | 4.65208 | − | 5.83352i | 0.174222 | − | 0.218467i | ||||
\(714\) | −126.897 | + | 78.3565i | −4.74899 | + | 2.93242i | ||||
\(715\) | 0.579112 | + | 0.726183i | 0.0216576 | + | 0.0271577i | ||||
\(716\) | 48.4971 | − | 83.9994i | 1.81242 | − | 3.13921i | ||||
\(717\) | −6.78792 | − | 11.7570i | −0.253499 | − | 0.439074i | ||||
\(718\) | −18.4060 | + | 46.8977i | −0.686906 | + | 1.75021i | ||||
\(719\) | −29.6473 | − | 9.14497i | −1.10566 | − | 0.341050i | −0.312408 | − | 0.949948i | \(-0.601136\pi\) |
−0.793248 | + | 0.608898i | \(0.791612\pi\) | |||||||
\(720\) | 93.6602 | + | 45.1044i | 3.49051 | + | 1.68094i | ||||
\(721\) | −23.3678 | − | 1.05750i | −0.870261 | − | 0.0393833i | ||||
\(722\) | −22.7101 | + | 10.9366i | −0.845183 | + | 0.407019i | ||||
\(723\) | −69.7143 | + | 10.5077i | −2.59270 | + | 0.390787i | ||||
\(724\) | −120.157 | − | 81.9215i | −4.46559 | − | 3.04459i | ||||
\(725\) | −12.4941 | + | 11.5928i | −0.464020 | + | 0.430547i | ||||
\(726\) | −7.12029 | + | 4.85453i | −0.264259 | + | 0.180169i | ||||
\(727\) | −3.07242 | + | 13.4611i | −0.113950 | + | 0.499246i | 0.885454 | + | 0.464726i | \(0.153847\pi\) |
−0.999404 | + | 0.0345196i | \(0.989010\pi\) | |||||||
\(728\) | −24.7726 | − | 18.5841i | −0.918134 | − | 0.688774i | ||||
\(729\) | 2.88354 | + | 12.6336i | 0.106798 | + | 0.467912i | ||||
\(730\) | −17.4624 | − | 16.2027i | −0.646312 | − | 0.599690i | ||||
\(731\) | 21.3374 | + | 3.21609i | 0.789192 | + | 0.118952i | ||||
\(732\) | 63.5718 | − | 19.6093i | 2.34968 | − | 0.724780i | ||||
\(733\) | 3.00795 | − | 40.1383i | 0.111101 | − | 1.48254i | −0.611482 | − | 0.791258i | \(-0.709426\pi\) |
0.722583 | − | 0.691284i | \(-0.242955\pi\) | |||||||
\(734\) | −13.9680 | −0.515567 | ||||||||
\(735\) | 10.6806 | − | 15.1507i | 0.393961 | − | 0.558843i | ||||
\(736\) | −80.3671 | −2.96237 | ||||||||
\(737\) | 1.11787 | − | 14.9169i | 0.0411772 | − | 0.549472i | ||||
\(738\) | −58.9241 | + | 18.1757i | −2.16902 | + | 0.669055i | ||||
\(739\) | −12.3292 | − | 1.85833i | −0.453536 | − | 0.0683596i | −0.0816981 | − | 0.996657i | \(-0.526034\pi\) |
−0.371838 | + | 0.928298i | \(0.621272\pi\) | |||||||
\(740\) | −5.02399 | − | 4.66158i | −0.184685 | − | 0.171363i | ||||
\(741\) | 2.33018 | + | 10.2092i | 0.0856014 | + | 0.375044i | ||||
\(742\) | −13.8505 | − | 26.7102i | −0.508467 | − | 0.980561i | ||||
\(743\) | 5.41313 | − | 23.7165i | 0.198589 | − | 0.870073i | −0.773189 | − | 0.634175i | \(-0.781340\pi\) |
0.971778 | − | 0.235898i | \(-0.0758031\pi\) | |||||||
\(744\) | −78.9800 | + | 53.8477i | −2.89555 | + | 1.97415i | ||||
\(745\) | 0.394211 | − | 0.365774i | 0.0144428 | − | 0.0134009i | ||||
\(746\) | 0.152096 | + | 0.103698i | 0.00556864 | + | 0.00379664i | ||||
\(747\) | 54.7497 | − | 8.25219i | 2.00319 | − | 0.301932i | ||||
\(748\) | 34.6084 | − | 16.6665i | 1.26541 | − | 0.609389i | ||||
\(749\) | −1.50802 | + | 5.45686i | −0.0551017 | + | 0.199389i | ||||
\(750\) | 61.9668 | + | 29.8417i | 2.26271 | + | 1.08966i | ||||
\(751\) | 30.8084 | + | 9.50312i | 1.12421 | + | 0.346774i | 0.800471 | − | 0.599372i | \(-0.204583\pi\) |
0.323742 | + | 0.946145i | \(0.395059\pi\) | |||||||
\(752\) | −7.16435 | + | 18.2545i | −0.261257 | + | 0.665672i | ||||
\(753\) | 18.3516 | + | 31.7858i | 0.668768 | + | 1.15834i | ||||
\(754\) | 6.05145 | − | 10.4814i | 0.220381 | − | 0.381711i | ||||
\(755\) | 7.62269 | + | 9.55855i | 0.277418 | + | 0.347871i | ||||
\(756\) | −19.6186 | + | 162.671i | −0.713522 | + | 5.91628i | ||||
\(757\) | −21.0784 | + | 26.4315i | −0.766109 | + | 0.960670i | −0.999933 | − | 0.0116088i | \(-0.996305\pi\) |
0.233824 | + | 0.972279i | \(0.424876\pi\) | |||||||
\(758\) | −13.9284 | − | 35.4889i | −0.505902 | − | 1.28902i | ||||
\(759\) | 0.597887 | + | 7.97824i | 0.0217019 | + | 0.289592i | ||||
\(760\) | 2.21564 | + | 29.5656i | 0.0803696 | + | 1.07246i | ||||
\(761\) | −0.209328 | − | 0.533359i | −0.00758814 | − | 0.0193343i | 0.927029 | − | 0.374988i | \(-0.122353\pi\) |
−0.934618 | + | 0.355654i | \(0.884258\pi\) | |||||||
\(762\) | −82.4505 | + | 103.390i | −2.98687 | + | 3.74541i | ||||
\(763\) | −13.3096 | + | 1.39426i | −0.481838 | + | 0.0504757i | ||||
\(764\) | 0.383458 | + | 0.480841i | 0.0138730 | + | 0.0173962i | ||||
\(765\) | −18.1415 | + | 31.4221i | −0.655908 | + | 1.13607i | ||||
\(766\) | −1.24021 | − | 2.14811i | −0.0448106 | − | 0.0776143i | ||||
\(767\) | −2.73527 | + | 6.96934i | −0.0987647 | + | 0.251648i | ||||
\(768\) | 337.850 | + | 104.213i | 12.1911 | + | 3.76046i | ||||
\(769\) | −33.3929 | − | 16.0812i | −1.20418 | − | 0.579902i | −0.279314 | − | 0.960200i | \(-0.590107\pi\) |
−0.924864 | + | 0.380298i | \(0.875821\pi\) | |||||||
\(770\) | −4.21275 | + | 4.81854i | −0.151817 | + | 0.173648i | ||||
\(771\) | 39.3557 | − | 18.9527i | 1.41736 | − | 0.682565i | ||||
\(772\) | 78.5697 | − | 11.8425i | 2.82779 | − | 0.426220i | ||||
\(773\) | 43.4006 | + | 29.5900i | 1.56101 | + | 1.06428i | 0.965322 | + | 0.261063i | \(0.0840731\pi\) |
0.595689 | + | 0.803216i | \(0.296879\pi\) | |||||||
\(774\) | 43.6522 | − | 40.5034i | 1.56905 | − | 1.45586i | ||||
\(775\) | −10.0740 | + | 6.86834i | −0.361869 | + | 0.246718i | ||||
\(776\) | −14.7854 | + | 64.7792i | −0.530766 | + | 2.32544i | ||||
\(777\) | 4.47736 | − | 10.0470i | 0.160624 | − | 0.360435i | ||||
\(778\) | −1.61354 | − | 7.06936i | −0.0578481 | − | 0.253449i | ||||
\(779\) | −7.92527 | − | 7.35358i | −0.283952 | − | 0.263469i | ||||
\(780\) | −16.5658 | − | 2.49690i | −0.593151 | − | 0.0894032i | ||||
\(781\) | −2.07031 | + | 0.638607i | −0.0740816 | + | 0.0228511i | ||||
\(782\) | 3.57264 | − | 47.6735i | 0.127757 | − | 1.70480i | ||||
\(783\) | −42.2261 | −1.50904 | ||||||||
\(784\) | 58.7623 | − | 117.290i | 2.09865 | − | 4.18894i | ||||
\(785\) | 13.0661 | 0.466348 | ||||||||
\(786\) | 10.9637 | − | 146.300i | 0.391062 | − | 5.21836i | ||||
\(787\) | 17.8437 | − | 5.50405i | 0.636059 | − | 0.196198i | 0.0400776 | − | 0.999197i | \(-0.487239\pi\) |
0.595981 | + | 0.802998i | \(0.296763\pi\) | |||||||
\(788\) | −150.288 | − | 22.6523i | −5.35380 | − | 0.806956i | ||||
\(789\) | −37.7857 | − | 35.0600i | −1.34521 | − | 1.24817i | ||||
\(790\) | −5.04589 | − | 22.1075i | −0.179525 | − | 0.786549i | ||||
\(791\) | −0.815239 | + | 0.211621i | −0.0289866 | + | 0.00752436i | ||||
\(792\) | 15.5547 | − | 68.1498i | 0.552714 | − | 2.42160i | ||||
\(793\) | −3.28305 | + | 2.23834i | −0.116584 | + | 0.0794859i | ||||
\(794\) | −2.55470 | + | 2.37041i | −0.0906628 | + | 0.0841228i | ||||
\(795\) | −8.86811 | − | 6.04618i | −0.314520 | − | 0.214436i | ||||
\(796\) | 5.25348 | − | 0.791834i | 0.186205 | − | 0.0280658i | ||||
\(797\) | 48.7515 | − | 23.4775i | 1.72687 | − | 0.831615i | 0.739502 | − | 0.673154i | \(-0.235061\pi\) |
0.987365 | − | 0.158461i | \(-0.0506532\pi\) | |||||||
\(798\) | −66.3627 | + | 28.3378i | −2.34921 | + | 1.00315i | ||||
\(799\) | −6.16662 | − | 2.96969i | −0.218159 | − | 0.105060i | ||||
\(800\) | 125.493 | + | 38.7096i | 4.43686 | + | 1.36859i | ||||
\(801\) | 34.8808 | − | 88.8748i | 1.23245 | − | 3.14024i | ||||
\(802\) | 16.0590 | + | 27.8150i | 0.567064 | + | 0.982184i | ||||
\(803\) | −4.92355 | + | 8.52784i | −0.173748 | + | 0.300941i | ||||
\(804\) | 168.222 | + | 210.944i | 5.93273 | + | 7.43941i | ||||
\(805\) | 1.91861 | + | 5.62384i | 0.0676222 | + | 0.198214i | ||||
\(806\) | 5.39814 | − | 6.76906i | 0.190141 | − | 0.238430i | ||||
\(807\) | 12.5209 | + | 31.9027i | 0.440757 | + | 1.12303i | ||||
\(808\) | −0.853076 | − | 11.3835i | −0.0300111 | − | 0.400470i | ||||
\(809\) | −1.49332 | − | 19.9269i | −0.0525022 | − | 0.700594i | −0.959904 | − | 0.280329i | \(-0.909556\pi\) |
0.907402 | − | 0.420264i | \(-0.138063\pi\) | |||||||
\(810\) | 11.5687 | + | 29.4765i | 0.406481 | + | 1.03570i | ||||
\(811\) | 30.9674 | − | 38.8319i | 1.08741 | − | 1.36357i | 0.161048 | − | 0.986947i | \(-0.448513\pi\) |
0.926365 | − | 0.376626i | \(-0.122916\pi\) | |||||||
\(812\) | 58.5585 | + | 21.0062i | 2.05500 | + | 0.737173i | ||||
\(813\) | −25.5934 | − | 32.0931i | −0.897598 | − | 1.12555i | ||||
\(814\) | −1.89895 | + | 3.28908i | −0.0665582 | + | 0.115282i | ||||
\(815\) | −8.24415 | − | 14.2793i | −0.288780 | − | 0.500181i | ||||
\(816\) | −137.556 | + | 350.486i | −4.81541 | + | 12.2695i | ||||
\(817\) | 9.97669 | + | 3.07740i | 0.349040 | + | 0.107665i | ||||
\(818\) | 16.7352 | + | 8.05927i | 0.585134 | + | 0.281786i | ||||
\(819\) | −3.26797 | − | 18.0433i | −0.114192 | − | 0.630485i | ||||
\(820\) | 15.5833 | − | 7.50454i | 0.544194 | − | 0.262070i | ||||
\(821\) | −41.1272 | + | 6.19893i | −1.43535 | + | 0.216344i | −0.820205 | − | 0.572070i | \(-0.806140\pi\) |
−0.615144 | + | 0.788414i | \(0.710902\pi\) | |||||||
\(822\) | 27.6037 | + | 18.8199i | 0.962788 | + | 0.656418i | ||||
\(823\) | −14.3839 | + | 13.3463i | −0.501392 | + | 0.465224i | −0.889857 | − | 0.456240i | \(-0.849196\pi\) |
0.388465 | + | 0.921463i | \(0.373005\pi\) | |||||||
\(824\) | −79.3710 | + | 54.1142i | −2.76502 | + | 1.88516i | ||||
\(825\) | 2.90919 | − | 12.7460i | 0.101285 | − | 0.443759i | ||||
\(826\) | −50.6154 | − | 9.98775i | −1.76113 | − | 0.347518i | ||||
\(827\) | −6.79275 | − | 29.7610i | −0.236207 | − | 1.03489i | −0.944381 | − | 0.328853i | \(-0.893338\pi\) |
0.708174 | − | 0.706038i | \(-0.249519\pi\) | |||||||
\(828\) | −72.1424 | − | 66.9383i | −2.50712 | − | 2.32627i | ||||
\(829\) | 8.36716 | + | 1.26115i | 0.290603 | + | 0.0438014i | 0.292726 | − | 0.956196i | \(-0.405438\pi\) |
−0.00212275 | + | 0.999998i | \(0.500676\pi\) | |||||||
\(830\) | −19.8946 | + | 6.13668i | −0.690553 | + | 0.213007i | ||||
\(831\) | 4.48489 | − | 59.8466i | 0.155579 | − | 2.07606i | ||||
\(832\) | −52.8772 | −1.83319 | ||||||||
\(833\) | 39.2903 | + | 23.5115i | 1.36133 | + | 0.814626i | ||||
\(834\) | 1.18711 | 0.0411063 | ||||||||
\(835\) | 1.05551 | − | 14.0848i | 0.0365274 | − | 0.487424i | ||||
\(836\) | 17.7598 | − | 5.47818i | 0.614237 | − | 0.189467i | ||||
\(837\) | −29.8695 | − | 4.50211i | −1.03244 | − | 0.155616i | ||||
\(838\) | 36.7879 | + | 34.1342i | 1.27082 | + | 1.17915i | ||||
\(839\) | 0.916484 | + | 4.01538i | 0.0316406 | + | 0.138626i | 0.988281 | − | 0.152645i | \(-0.0487790\pi\) |
−0.956641 | + | 0.291271i | \(0.905922\pi\) | |||||||
\(840\) | −2.25119 | − | 76.0930i | −0.0776733 | − | 2.62546i | ||||
\(841\) | 2.88546 | − | 12.6420i | 0.0994985 | − | 0.435931i | ||||
\(842\) | −72.6502 | + | 49.5321i | −2.50369 | + | 1.70699i | ||||
\(843\) | −40.9841 | + | 38.0277i | −1.41157 | + | 1.30974i | ||||
\(844\) | 65.3282 | + | 44.5400i | 2.24869 | + | 1.53313i | ||||
\(845\) | −10.0939 | + | 1.52141i | −0.347241 | + | 0.0523381i | ||||
\(846\) | −17.0177 | + | 8.19527i | −0.585079 | + | 0.281759i | ||||
\(847\) | 2.32941 | + | 1.25454i | 0.0800393 | + | 0.0431065i | ||||
\(848\) | −68.4363 | − | 32.9572i | −2.35011 | − | 1.13175i | ||||
\(849\) | 30.1935 | + | 9.31348i | 1.03624 | + | 0.319638i | ||||
\(850\) | −28.5411 | + | 72.7214i | −0.978950 | + | 2.49432i | ||||
\(851\) | 1.76297 | + | 3.05355i | 0.0604338 | + | 0.104674i | ||||
\(852\) | 19.5389 | − | 33.8423i | 0.669391 | − | 1.15942i | ||||
\(853\) | −11.9159 | − | 14.9421i | −0.407992 | − | 0.511606i | 0.534804 | − | 0.844976i | \(-0.320386\pi\) |
−0.942796 | + | 0.333370i | \(0.891814\pi\) | |||||||
\(854\) | −19.2091 | − | 19.5121i | −0.657323 | − | 0.667690i | ||||
\(855\) | −10.9455 | + | 13.7253i | −0.374329 | + | 0.469394i | ||||
\(856\) | 8.49409 | + | 21.6426i | 0.290322 | + | 0.739728i | ||||
\(857\) | −2.82723 | − | 37.7268i | −0.0965764 | − | 1.28872i | −0.809349 | − | 0.587328i | \(-0.800180\pi\) |
0.712773 | − | 0.701395i | \(-0.247439\pi\) | |||||||
\(858\) | 0.693771 | + | 9.25773i | 0.0236850 | + | 0.316054i | ||||
\(859\) | 11.6350 | + | 29.6454i | 0.396980 | + | 1.01149i | 0.979994 | + | 0.199026i | \(0.0637778\pi\) |
−0.583014 | + | 0.812462i | \(0.698127\pi\) | |||||||
\(860\) | −10.4141 | + | 13.0589i | −0.355119 | + | 0.445305i | ||||
\(861\) | 19.4747 | + | 19.7819i | 0.663697 | + | 0.674164i | ||||
\(862\) | 18.2552 | + | 22.8913i | 0.621775 | + | 0.779681i | ||||
\(863\) | −25.6321 | + | 44.3961i | −0.872527 | + | 1.51126i | −0.0131530 | + | 0.999913i | \(0.504187\pi\) |
−0.859374 | + | 0.511348i | \(0.829146\pi\) | |||||||
\(864\) | 162.681 | + | 281.772i | 5.53452 | + | 9.58607i | ||||
\(865\) | 0.574787 | − | 1.46453i | 0.0195433 | − | 0.0497956i | ||||
\(866\) | −44.8171 | − | 13.8242i | −1.52295 | − | 0.469767i | ||||
\(867\) | −71.3561 | − | 34.3633i | −2.42338 | − | 1.16704i | ||||
\(868\) | 39.1830 | + | 21.1026i | 1.32996 | + | 0.716270i | ||||
\(869\) | −8.44532 | + | 4.06705i | −0.286488 | + | 0.137965i | ||||
\(870\) | 29.4188 | − | 4.43417i | 0.997390 | − | 0.150332i | ||||
\(871\) | −13.3146 | − | 9.07777i | −0.451149 | − | 0.307588i | ||||
\(872\) | −40.2868 | + | 37.3807i | −1.36428 | + | 1.26587i | ||||
\(873\) | −32.5067 | + | 22.1627i | −1.10018 | + | 0.750093i | ||||
\(874\) | 5.14716 | − | 22.5512i | 0.174105 | − | 0.762804i | ||||
\(875\) | −0.624430 | − | 21.1065i | −0.0211096 | − | 0.713530i | ||||
\(876\) | −39.5218 | − | 173.156i | −1.33532 | − | 5.85042i | ||||
\(877\) | 23.1810 | + | 21.5089i | 0.782768 | + | 0.726302i | 0.966498 | − | 0.256674i | \(-0.0826268\pi\) |
−0.183730 | + | 0.982977i | \(0.558817\pi\) | |||||||
\(878\) | −11.9609 | − | 1.80282i | −0.403662 | − | 0.0608422i | ||||
\(879\) | 21.4710 | − | 6.62292i | 0.724198 | − | 0.223386i | ||||
\(880\) | −1.20752 | + | 16.1132i | −0.0407053 | + | 0.543175i | ||||
\(881\) | 37.2688 | 1.25562 | 0.627809 | − | 0.778368i | \(-0.283952\pi\) | ||||
0.627809 | + | 0.778368i | \(0.283952\pi\) | |||||||
\(882\) | 118.331 | − | 44.3175i | 3.98441 | − | 1.49225i | ||||
\(883\) | 31.1920 | 1.04969 | 0.524847 | − | 0.851197i | \(-0.324123\pi\) | ||||
0.524847 | + | 0.851197i | \(0.324123\pi\) | |||||||
\(884\) | 3.09240 | − | 41.2652i | 0.104009 | − | 1.38790i | ||||
\(885\) | −17.5864 | + | 5.42470i | −0.591162 | + | 0.182349i | ||||
\(886\) | 50.8541 | + | 7.66502i | 1.70848 | + | 0.257511i | ||||
\(887\) | 0.694972 | + | 0.644840i | 0.0233349 | + | 0.0216516i | 0.691754 | − | 0.722133i | \(-0.256838\pi\) |
−0.668419 | + | 0.743785i | \(0.733029\pi\) | |||||||
\(888\) | −10.0517 | − | 44.0394i | −0.337313 | − | 1.47786i | ||||
\(889\) | 39.8314 | + | 7.85979i | 1.33590 | + | 0.263609i | ||||
\(890\) | −7.98861 | + | 35.0004i | −0.267779 | + | 1.17322i | ||||
\(891\) | 10.8151 | − | 7.37360i | 0.362319 | − | 0.247025i | ||||
\(892\) | −69.1797 | + | 64.1894i | −2.31631 | + | 2.14922i | ||||
\(893\) | −2.73619 | − | 1.86550i | −0.0915631 | − | 0.0624266i | ||||
\(894\) | 5.31500 | − | 0.801108i | 0.177760 | − | 0.0267931i | ||||
\(895\) | −12.8304 | + | 6.17878i | −0.428872 | + | 0.206534i | ||||
\(896\) | −35.8425 | − | 197.896i | −1.19741 | − | 6.61123i | ||||
\(897\) | 7.76536 | + | 3.73960i | 0.259278 | + | 0.124862i | ||||
\(898\) | −40.6857 | − | 12.5499i | −1.35770 | − | 0.418794i | ||||
\(899\) | −4.19021 | + | 10.6765i | −0.139751 | + | 0.356080i | ||||
\(900\) | 80.4089 | + | 139.272i | 2.68030 | + | 4.64241i | ||||
\(901\) | 13.2558 | − | 22.9597i | 0.441614 | − | 0.764898i | ||||
\(902\) | −5.97599 | − | 7.49366i | −0.198979 | − | 0.249512i | ||||
\(903\) | −25.2330 | − | 9.05160i | −0.839701 | − | 0.301218i | ||||
\(904\) | −2.15660 | + | 2.70429i | −0.0717274 | + | 0.0899433i | ||||
\(905\) | 7.80055 | + | 19.8755i | 0.259299 | + | 0.660683i | ||||
\(906\) | 9.13191 | + | 121.857i | 0.303388 | + | 4.04843i | ||||
\(907\) | 0.330077 | + | 4.40457i | 0.0109600 | + | 0.146251i | 0.999999 | − | 0.00140319i | \(-0.000446648\pi\) |
−0.989039 | + | 0.147655i | \(0.952828\pi\) | |||||||
\(908\) | −24.2942 | − | 61.9007i | −0.806232 | − | 2.05425i | ||||
\(909\) | 4.21430 | − | 5.28457i | 0.139780 | − | 0.175278i | ||||
\(910\) | 2.22630 | + | 6.52575i | 0.0738013 | + | 0.216326i | ||||
\(911\) | 27.8786 | + | 34.9587i | 0.923660 | + | 1.15823i | 0.987077 | + | 0.160245i | \(0.0512285\pi\) |
−0.0634177 | + | 0.997987i | \(0.520200\pi\) | |||||||
\(912\) | −91.0864 | + | 157.766i | −3.01617 | + | 5.22416i | ||||
\(913\) | 4.30310 | + | 7.45319i | 0.142412 | + | 0.246665i | ||||
\(914\) | 39.8588 | − | 101.559i | 1.31841 | − | 3.35926i | ||||
\(915\) | −9.33358 | − | 2.87903i | −0.308559 | − | 0.0951777i | ||||
\(916\) | −46.2579 | − | 22.2766i | −1.52840 | − | 0.736040i | ||||
\(917\) | −41.4235 | + | 17.6884i | −1.36792 | + | 0.584122i | ||||
\(918\) | −174.378 | + | 83.9760i | −5.75533 | + | 2.77162i | ||||
\(919\) | 15.7081 | − | 2.36761i | 0.518161 | − | 0.0781002i | 0.115245 | − | 0.993337i | \(-0.463235\pi\) |
0.402916 | + | 0.915237i | \(0.367997\pi\) | |||||||
\(920\) | 20.1623 | + | 13.7464i | 0.664733 | + | 0.453207i | ||||
\(921\) | −16.3767 | + | 15.1954i | −0.539632 | + | 0.500705i | ||||
\(922\) | −56.9202 | + | 38.8075i | −1.87457 | + | 1.27806i | ||||
\(923\) | −0.519363 | + | 2.27548i | −0.0170951 | + | 0.0748983i | ||||
\(924\) | −46.1899 | + | 11.9900i | −1.51953 | + | 0.394442i | ||||
\(925\) | −1.28211 | − | 5.61727i | −0.0421554 | − | 0.184695i | ||||
\(926\) | 60.4096 | + | 56.0519i | 1.98518 | + | 1.84198i | ||||
\(927\) | −56.2448 | − | 8.47754i | −1.84732 | − | 0.278439i | ||||
\(928\) | 118.049 | − | 36.4132i | 3.87514 | − | 1.19532i | ||||
\(929\) | −3.33338 | + | 44.4809i | −0.109365 | + | 1.45937i | 0.625004 | + | 0.780621i | \(0.285097\pi\) |
−0.734369 | + | 0.678750i | \(0.762522\pi\) | |||||||
\(930\) | 21.2828 | 0.697890 | ||||||||
\(931\) | 17.1025 | + | 14.0821i | 0.560510 | + | 0.461523i | ||||
\(932\) | 33.7754 | 1.10635 | ||||||||
\(933\) | 3.63981 | − | 48.5699i | 0.119162 | − | 1.59011i | ||||
\(934\) | 15.6972 | − | 4.84193i | 0.513627 | − | 0.158433i | ||||
\(935\) | −5.57671 | − | 0.840553i | −0.182378 | − | 0.0274890i | ||||
\(936\) | −55.2020 | − | 51.2200i | −1.80433 | − | 1.67418i | ||||
\(937\) | 5.46317 | + | 23.9357i | 0.178474 | + | 0.781946i | 0.982335 | + | 0.187129i | \(0.0599183\pi\) |
−0.803861 | + | 0.594817i | \(0.797225\pi\) | |||||||
\(938\) | 45.2011 | − | 101.429i | 1.47587 | − | 3.31179i | ||||
\(939\) | −14.5547 | + | 63.7685i | −0.474976 | + | 2.08101i | ||||
\(940\) | 4.37741 | − | 2.98447i | 0.142776 | − | 0.0973427i | ||||
\(941\) | 7.03551 | − | 6.52800i | 0.229351 | − | 0.212807i | −0.557123 | − | 0.830430i | \(-0.688095\pi\) |
0.786474 | + | 0.617623i | \(0.211904\pi\) | |||||||
\(942\) | 107.904 | + | 73.5677i | 3.51570 | + | 2.39697i | ||||
\(943\) | −8.79901 | + | 1.32624i | −0.286535 | + | 0.0431882i | ||||
\(944\) | −117.348 | + | 56.5117i | −3.81934 | + | 1.83930i | ||||
\(945\) | 15.8338 | − | 18.1107i | 0.515074 | − | 0.589140i | ||||
\(946\) | 8.33938 | + | 4.01603i | 0.271137 | + | 0.130572i | ||||
\(947\) | −30.2055 | − | 9.31717i | −0.981547 | − | 0.302767i | −0.237863 | − | 0.971299i | \(-0.576447\pi\) |
−0.743684 | + | 0.668531i | \(0.766923\pi\) | |||||||
\(948\) | 61.7679 | − | 157.382i | 2.00613 | − | 5.11153i | ||||
\(949\) | 5.30404 | + | 9.18687i | 0.172176 | + | 0.298218i | ||||
\(950\) | −18.8993 | + | 32.7345i | −0.613173 | + | 1.06205i | ||||
\(951\) | −56.8937 | − | 71.3425i | −1.84491 | − | 2.31344i | ||||
\(952\) | 187.014 | − | 19.5909i | 6.06116 | − | 0.634946i | ||||
\(953\) | 3.76922 | − | 4.72645i | 0.122097 | − | 0.153105i | −0.717026 | − | 0.697046i | \(-0.754497\pi\) |
0.839123 | + | 0.543941i | \(0.183069\pi\) | |||||||
\(954\) | −26.7292 | − | 68.1049i | −0.865390 | − | 2.20498i | ||||
\(955\) | −0.00674789 | − | 0.0900443i | −0.000218357 | − | 0.00291377i | ||||
\(956\) | 1.93975 | + | 25.8842i | 0.0627361 | + | 0.837155i | ||||
\(957\) | −4.49305 | − | 11.4481i | −0.145240 | − | 0.370064i | ||||
\(958\) | −53.4903 | + | 67.0747i | −1.72819 | + | 2.16708i | ||||
\(959\) | 1.22812 | − | 10.1831i | 0.0396581 | − | 0.328831i | ||||
\(960\) | −81.0422 | − | 101.624i | −2.61563 | − | 3.27989i | ||||
\(961\) | 11.3977 | − | 19.7413i | 0.367666 | − | 0.636817i | ||||
\(962\) | 2.04570 | + | 3.54326i | 0.0659560 | + | 0.114239i | ||||
\(963\) | −5.02946 | + | 12.8148i | −0.162072 | + | 0.412953i | ||||
\(964\) | 128.810 | + | 39.7325i | 4.14868 | + | 1.27970i | ||||
\(965\) | −10.5106 | − | 5.06163i | −0.338348 | − | 0.162940i | ||||
\(966\) | −15.8201 | + | 57.2462i | −0.509005 | + | 1.84187i | ||||
\(967\) | −17.5939 | + | 8.47278i | −0.565782 | + | 0.272466i | −0.694832 | − | 0.719172i | \(-0.744521\pi\) |
0.129050 | + | 0.991638i | \(0.458807\pi\) | |||||||
\(968\) | 10.7440 | − | 1.61940i | 0.345325 | − | 0.0520494i | ||||
\(969\) | −52.5349 | − | 35.8177i | −1.68766 | − | 1.15063i | ||||
\(970\) | 10.8446 | − | 10.0623i | 0.348200 | − | 0.323082i | ||||
\(971\) | 10.0689 | − | 6.86485i | 0.323126 | − | 0.220304i | −0.390883 | − | 0.920441i | \(-0.627830\pi\) |
0.714009 | + | 0.700137i | \(0.246878\pi\) | |||||||
\(972\) | −11.1938 | + | 49.0432i | −0.359041 | + | 1.57306i | ||||
\(973\) | −0.167774 | − | 0.323546i | −0.00537859 | − | 0.0103724i | ||||
\(974\) | 3.29539 | + | 14.4381i | 0.105591 | + | 0.462625i | ||||
\(975\) | −10.3244 | − | 9.57964i | −0.330645 | − | 0.306794i | ||||
\(976\) | −68.3530 | − | 10.3026i | −2.18792 | − | 0.329777i | ||||
\(977\) | −9.88879 | + | 3.05029i | −0.316370 | + | 0.0975874i | −0.448874 | − | 0.893595i | \(-0.648175\pi\) |
0.132503 | + | 0.991183i | \(0.457698\pi\) | |||||||
\(978\) | 12.3157 | − | 164.341i | 0.393812 | − | 5.25506i | ||||
\(979\) | 14.8402 | 0.474295 | ||||||||
\(980\) | −30.9676 | + | 17.2388i | −0.989224 | + | 0.550673i | ||||
\(981\) | −32.5411 | −1.03896 | ||||||||
\(982\) | −3.56853 | + | 47.6188i | −0.113876 | + | 1.51958i | ||||
\(983\) | 43.0974 | − | 13.2938i | 1.37459 | − | 0.424006i | 0.482515 | − | 0.875888i | \(-0.339723\pi\) |
0.892078 | + | 0.451882i | \(0.149247\pi\) | |||||||
\(984\) | 112.727 | + | 16.9909i | 3.59360 | + | 0.541649i | ||||
\(985\) | 16.3577 | + | 15.1777i | 0.521199 | + | 0.483602i | ||||
\(986\) | 16.3525 | + | 71.6448i | 0.520769 | + | 2.28164i | ||||
\(987\) | 6.80178 | + | 5.10262i | 0.216503 | + | 0.162418i | ||||
\(988\) | 4.45527 | − | 19.5198i | 0.141741 | − | 0.621009i | ||||
\(989\) | 7.10003 | − | 4.84072i | 0.225768 | − | 0.153926i | ||||
\(990\) | −11.4089 | + | 10.5859i | −0.362598 | + | 0.336442i | ||||
\(991\) | −24.3918 | − | 16.6301i | −0.774831 | − | 0.528271i | 0.110140 | − | 0.993916i | \(-0.464870\pi\) |
−0.884972 | + | 0.465645i | \(0.845822\pi\) | |||||||
\(992\) | 87.3866 | − | 13.1714i | 2.77453 | − | 0.418193i | ||||
\(993\) | 75.5786 | − | 36.3967i | 2.39841 | − | 1.15502i | ||||
\(994\) | −16.0669 | − | 0.727102i | −0.509611 | − | 0.0230623i | ||||
\(995\) | −0.702779 | − | 0.338440i | −0.0222796 | − | 0.0107293i | ||||
\(996\) | −148.331 | − | 45.7542i | −4.70006 | − | 1.44978i | ||||
\(997\) | −9.89232 | + | 25.2052i | −0.313293 | + | 0.798257i | 0.684319 | + | 0.729183i | \(0.260100\pi\) |
−0.997612 | + | 0.0690743i | \(0.977995\pi\) | |||||||
\(998\) | −30.7293 | − | 53.2247i | −0.972719 | − | 1.68480i | ||||
\(999\) | 7.13729 | − | 12.3621i | 0.225814 | − | 0.391121i |
(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 | 539.2.r.b.23.1 | ✓ | 276 | |
49.32 | even | 21 | inner | 539.2.r.b.375.1 | yes | 276 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
539.2.r.b.23.1 | ✓ | 276 | 1.1 | even | 1 | trivial | |
539.2.r.b.375.1 | yes | 276 | 49.32 | even | 21 | inner |