Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,3,Mod(11,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.t (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.86104277578\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.17 | ||
Character | \(\chi\) | \(=\) | 105.11 |
Dual form | 105.3.t.b.86.17 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.61597 | − | 1.51033i | 1.30798 | − | 0.755165i | 0.326225 | − | 0.945292i | \(-0.394223\pi\) |
0.981760 | + | 0.190127i | \(0.0608900\pi\) | |||||||
\(3\) | 2.80077 | − | 1.07503i | 0.933589 | − | 0.358345i | ||||
\(4\) | 2.56220 | − | 4.43785i | 0.640549 | − | 1.10946i | ||||
\(5\) | −1.93649 | + | 1.11803i | −0.387298 | + | 0.223607i | ||||
\(6\) | 5.70307 | − | 7.04234i | 0.950511 | − | 1.17372i | ||||
\(7\) | −4.99419 | + | 4.90490i | −0.713456 | + | 0.700700i | ||||
\(8\) | − | 3.39641i | − | 0.424551i | ||||||
\(9\) | 6.68860 | − | 6.02184i | 0.743178 | − | 0.669094i | ||||
\(10\) | −3.37720 | + | 5.84948i | −0.337720 | + | 0.584948i | ||||
\(11\) | −1.06414 | − | 0.614380i | −0.0967398 | − | 0.0558528i | 0.450850 | − | 0.892600i | \(-0.351121\pi\) |
−0.547589 | + | 0.836747i | \(0.684454\pi\) | |||||||
\(12\) | 2.40527 | − | 15.1838i | 0.200439 | − | 1.26532i | ||||
\(13\) | −18.8197 | −1.44767 | −0.723834 | − | 0.689974i | \(-0.757622\pi\) | ||||
−0.723834 | + | 0.689974i | \(0.757622\pi\) | |||||||
\(14\) | −5.65663 | + | 20.3739i | −0.404045 | + | 1.45528i | ||||
\(15\) | −4.22174 | + | 5.21315i | −0.281449 | + | 0.347543i | ||||
\(16\) | 5.11909 | + | 8.86652i | 0.319943 | + | 0.554158i | ||||
\(17\) | 16.5849 | + | 9.57529i | 0.975581 | + | 0.563252i | 0.900933 | − | 0.433958i | \(-0.142883\pi\) |
0.0746481 | + | 0.997210i | \(0.476217\pi\) | |||||||
\(18\) | 8.40221 | − | 25.8550i | 0.466789 | − | 1.43639i | ||||
\(19\) | −10.0788 | − | 17.4570i | −0.530464 | − | 0.918791i | −0.999368 | − | 0.0355421i | \(-0.988684\pi\) |
0.468904 | − | 0.883249i | \(-0.344649\pi\) | |||||||
\(20\) | 11.4585i | 0.572924i | ||||||||
\(21\) | −8.71464 | + | 19.1064i | −0.414983 | + | 0.909829i | ||||
\(22\) | −3.71167 | −0.168712 | ||||||||
\(23\) | 16.4001 | − | 9.46858i | 0.713046 | − | 0.411677i | −0.0991417 | − | 0.995073i | \(-0.531610\pi\) |
0.812188 | + | 0.583396i | \(0.198276\pi\) | |||||||
\(24\) | −3.65125 | − | 9.51255i | −0.152135 | − | 0.396356i | ||||
\(25\) | 2.50000 | − | 4.33013i | 0.100000 | − | 0.173205i | ||||
\(26\) | −49.2317 | + | 28.4239i | −1.89353 | + | 1.09323i | ||||
\(27\) | 12.2595 | − | 24.0563i | 0.454057 | − | 0.890973i | ||||
\(28\) | 8.97113 | + | 34.7308i | 0.320397 | + | 1.24039i | ||||
\(29\) | − | 31.9618i | − | 1.10213i | −0.834462 | − | 0.551066i | \(-0.814221\pi\) | ||
0.834462 | − | 0.551066i | \(-0.185779\pi\) | |||||||
\(30\) | −3.17036 | + | 20.0137i | −0.105679 | + | 0.667122i | ||||
\(31\) | −14.6778 | + | 25.4227i | −0.473477 | + | 0.820087i | −0.999539 | − | 0.0303595i | \(-0.990335\pi\) |
0.526062 | + | 0.850446i | \(0.323668\pi\) | |||||||
\(32\) | 38.5482 | + | 22.2558i | 1.20463 | + | 0.695495i | ||||
\(33\) | −3.64088 | − | 0.576752i | −0.110330 | − | 0.0174773i | ||||
\(34\) | 57.8474 | 1.70139 | ||||||||
\(35\) | 4.18737 | − | 15.0820i | 0.119639 | − | 0.430914i | ||||
\(36\) | −9.58654 | − | 45.1122i | −0.266293 | − | 1.25312i | ||||
\(37\) | −9.97462 | − | 17.2765i | −0.269584 | − | 0.466934i | 0.699170 | − | 0.714955i | \(-0.253553\pi\) |
−0.968754 | + | 0.248022i | \(0.920220\pi\) | |||||||
\(38\) | −52.7318 | − | 30.4447i | −1.38768 | − | 0.801177i | ||||
\(39\) | −52.7096 | + | 20.2318i | −1.35153 | + | 0.518764i | ||||
\(40\) | 3.79730 | + | 6.57711i | 0.0949324 | + | 0.164428i | ||||
\(41\) | 58.4356i | 1.42526i | 0.701541 | + | 0.712629i | \(0.252496\pi\) | ||||
−0.701541 | + | 0.712629i | \(0.747504\pi\) | |||||||
\(42\) | 6.05977 | + | 63.1438i | 0.144280 | + | 1.50342i | ||||
\(43\) | 57.9352 | 1.34733 | 0.673666 | − | 0.739036i | \(-0.264719\pi\) | ||||
0.673666 | + | 0.739036i | \(0.264719\pi\) | |||||||
\(44\) | −5.45306 | + | 3.14833i | −0.123933 | + | 0.0715528i | ||||
\(45\) | −6.21980 | + | 19.1393i | −0.138218 | + | 0.425319i | ||||
\(46\) | 28.6014 | − | 49.5390i | 0.621769 | − | 1.07694i | ||||
\(47\) | −41.1569 | + | 23.7620i | −0.875680 | + | 0.505574i | −0.869232 | − | 0.494405i | \(-0.835386\pi\) |
−0.00644823 | + | 0.999979i | \(0.502053\pi\) | |||||||
\(48\) | 23.8692 | + | 19.3299i | 0.497275 | + | 0.402706i | ||||
\(49\) | 0.883910 | − | 48.9920i | 0.0180390 | − | 0.999837i | ||||
\(50\) | − | 15.1033i | − | 0.302066i | ||||||
\(51\) | 56.7442 | + | 8.98884i | 1.11263 | + | 0.176252i | ||||
\(52\) | −48.2197 | + | 83.5190i | −0.927302 | + | 1.60614i | ||||
\(53\) | 3.20503 | + | 1.85042i | 0.0604722 | + | 0.0349137i | 0.529931 | − | 0.848041i | \(-0.322218\pi\) |
−0.469459 | + | 0.882954i | \(0.655551\pi\) | |||||||
\(54\) | −4.26231 | − | 81.4464i | −0.0789316 | − | 1.50827i | ||||
\(55\) | 2.74759 | 0.0499562 | ||||||||
\(56\) | 16.6590 | + | 16.9623i | 0.297483 | + | 0.302898i | ||||
\(57\) | −46.9954 | − | 38.0580i | −0.824480 | − | 0.667685i | ||||
\(58\) | −48.2729 | − | 83.6111i | −0.832291 | − | 1.44157i | ||||
\(59\) | −22.3683 | − | 12.9144i | −0.379124 | − | 0.218888i | 0.298313 | − | 0.954468i | \(-0.403576\pi\) |
−0.677437 | + | 0.735581i | \(0.736909\pi\) | |||||||
\(60\) | 12.3183 | + | 32.0926i | 0.205304 | + | 0.534876i | ||||
\(61\) | −41.8961 | − | 72.5661i | −0.686821 | − | 1.18961i | −0.972861 | − | 0.231391i | \(-0.925672\pi\) |
0.286040 | − | 0.958218i | \(-0.407661\pi\) | |||||||
\(62\) | 88.6733i | 1.43021i | ||||||||
\(63\) | −3.86764 | + | 62.8812i | −0.0613912 | + | 0.998114i | ||||
\(64\) | 93.5020 | 1.46097 | ||||||||
\(65\) | 36.4442 | − | 21.0411i | 0.560680 | − | 0.323708i | ||||
\(66\) | −10.3955 | + | 3.99017i | −0.157508 | + | 0.0604571i | ||||
\(67\) | −21.3926 | + | 37.0531i | −0.319293 | + | 0.553032i | −0.980341 | − | 0.197312i | \(-0.936779\pi\) |
0.661048 | + | 0.750344i | \(0.270112\pi\) | |||||||
\(68\) | 84.9874 | − | 49.0675i | 1.24982 | − | 0.721581i | ||||
\(69\) | 35.7537 | − | 44.1499i | 0.518170 | − | 0.639854i | ||||
\(70\) | −11.8247 | − | 45.7783i | −0.168925 | − | 0.653976i | ||||
\(71\) | 0.779222i | 0.0109750i | 0.999985 | + | 0.00548748i | \(0.00174673\pi\) | ||||
−0.999985 | + | 0.00548748i | \(0.998253\pi\) | |||||||
\(72\) | −20.4526 | − | 22.7172i | −0.284064 | − | 0.315517i | ||||
\(73\) | 4.35332 | − | 7.54017i | 0.0596345 | − | 0.103290i | −0.834667 | − | 0.550755i | \(-0.814340\pi\) |
0.894301 | + | 0.447465i | \(0.147673\pi\) | |||||||
\(74\) | −52.1866 | − | 30.1299i | −0.705224 | − | 0.407161i | ||||
\(75\) | 2.34689 | − | 14.8153i | 0.0312918 | − | 0.197537i | ||||
\(76\) | −103.296 | −1.35915 | ||||||||
\(77\) | 8.32798 | − | 2.15116i | 0.108156 | − | 0.0279371i | ||||
\(78\) | −107.330 | + | 132.535i | −1.37602 | + | 1.69916i | ||||
\(79\) | −31.2774 | − | 54.1740i | −0.395916 | − | 0.685747i | 0.597301 | − | 0.802017i | \(-0.296240\pi\) |
−0.993218 | + | 0.116270i | \(0.962906\pi\) | |||||||
\(80\) | −19.8261 | − | 11.4466i | −0.247827 | − | 0.143083i | ||||
\(81\) | 8.47485 | − | 80.5554i | 0.104628 | − | 0.994511i | ||||
\(82\) | 88.2571 | + | 152.866i | 1.07631 | + | 1.86422i | ||||
\(83\) | − | 75.5527i | − | 0.910274i | −0.890421 | − | 0.455137i | \(-0.849590\pi\) | ||
0.890421 | − | 0.455137i | \(-0.150410\pi\) | |||||||
\(84\) | 62.4628 | + | 87.6287i | 0.743605 | + | 1.04320i | ||||
\(85\) | −42.8220 | −0.503788 | ||||||||
\(86\) | 151.557 | − | 87.5014i | 1.76229 | − | 1.01746i | ||||
\(87\) | −34.3600 | − | 89.5176i | −0.394943 | − | 1.02894i | ||||
\(88\) | −2.08668 | + | 3.61424i | −0.0237123 | + | 0.0410710i | ||||
\(89\) | 73.5337 | − | 42.4547i | 0.826221 | − | 0.477019i | −0.0263360 | − | 0.999653i | \(-0.508384\pi\) |
0.852557 | + | 0.522634i | \(0.175051\pi\) | |||||||
\(90\) | 12.6359 | + | 59.4619i | 0.140399 | + | 0.660687i | ||||
\(91\) | 93.9891 | − | 92.3087i | 1.03285 | − | 1.01438i | ||||
\(92\) | − | 97.0414i | − | 1.05480i | ||||||
\(93\) | −13.7789 | + | 86.9822i | −0.148160 | + | 0.935293i | ||||
\(94\) | −71.7769 | + | 124.321i | −0.763584 | + | 1.32257i | ||||
\(95\) | 39.0351 | + | 22.5369i | 0.410896 | + | 0.237231i | ||||
\(96\) | 131.890 | + | 20.8928i | 1.37386 | + | 0.217633i | ||||
\(97\) | 133.904 | 1.38045 | 0.690226 | − | 0.723594i | \(-0.257511\pi\) | ||||
0.690226 | + | 0.723594i | \(0.257511\pi\) | |||||||
\(98\) | −71.6819 | − | 129.497i | −0.731448 | − | 1.32139i | ||||
\(99\) | −10.8173 | + | 2.29872i | −0.109266 | + | 0.0232194i | ||||
\(100\) | −12.8110 | − | 22.1893i | −0.128110 | − | 0.221893i | ||||
\(101\) | 92.2153 | + | 53.2405i | 0.913022 | + | 0.527134i | 0.881402 | − | 0.472366i | \(-0.156600\pi\) |
0.0316200 | + | 0.999500i | \(0.489933\pi\) | |||||||
\(102\) | 162.017 | − | 62.1879i | 1.58840 | − | 0.609685i | ||||
\(103\) | 32.8210 | + | 56.8476i | 0.318650 | + | 0.551918i | 0.980207 | − | 0.197977i | \(-0.0634372\pi\) |
−0.661556 | + | 0.749895i | \(0.730104\pi\) | |||||||
\(104\) | 63.9193i | 0.614609i | ||||||||
\(105\) | −4.48579 | − | 46.7427i | −0.0427218 | − | 0.445168i | ||||
\(106\) | 11.1790 | 0.105462 | ||||||||
\(107\) | −43.2760 | + | 24.9854i | −0.404449 | + | 0.233509i | −0.688402 | − | 0.725330i | \(-0.741687\pi\) |
0.283953 | + | 0.958838i | \(0.408354\pi\) | |||||||
\(108\) | −75.3468 | − | 116.043i | −0.697655 | − | 1.07447i | ||||
\(109\) | −102.244 | + | 177.093i | −0.938022 | + | 1.62470i | −0.168868 | + | 0.985639i | \(0.554011\pi\) |
−0.769154 | + | 0.639064i | \(0.779322\pi\) | |||||||
\(110\) | 7.18762 | − | 4.14977i | 0.0653420 | − | 0.0377252i | ||||
\(111\) | −46.5095 | − | 37.6645i | −0.419004 | − | 0.339320i | ||||
\(112\) | −69.0551 | − | 19.1725i | −0.616563 | − | 0.171183i | ||||
\(113\) | 127.151i | 1.12523i | 0.826719 | + | 0.562616i | \(0.190205\pi\) | ||||
−0.826719 | + | 0.562616i | \(0.809795\pi\) | |||||||
\(114\) | −180.419 | − | 28.5801i | −1.58262 | − | 0.250703i | ||||
\(115\) | −21.1724 | + | 36.6717i | −0.184108 | + | 0.318884i | ||||
\(116\) | −141.842 | − | 81.8924i | −1.22277 | − | 0.705969i | ||||
\(117\) | −125.877 | + | 113.329i | −1.07588 | + | 0.968626i | ||||
\(118\) | −78.0199 | −0.661185 | ||||||||
\(119\) | −129.794 | + | 33.5264i | −1.09071 | + | 0.281734i | ||||
\(120\) | 17.7060 | + | 14.3387i | 0.147550 | + | 0.119490i | ||||
\(121\) | −59.7451 | − | 103.482i | −0.493761 | − | 0.855219i | ||||
\(122\) | −219.198 | − | 126.554i | −1.79670 | − | 1.03733i | ||||
\(123\) | 62.8203 | + | 163.665i | 0.510734 | + | 1.33061i | ||||
\(124\) | 75.2148 | + | 130.276i | 0.606571 | + | 1.05061i | ||||
\(125\) | 11.1803i | 0.0894427i | ||||||||
\(126\) | 84.8537 | + | 170.337i | 0.673442 | + | 1.35188i | ||||
\(127\) | −36.8150 | −0.289882 | −0.144941 | − | 0.989440i | \(-0.546299\pi\) | ||||
−0.144941 | + | 0.989440i | \(0.546299\pi\) | |||||||
\(128\) | 90.4053 | − | 52.1955i | 0.706292 | − | 0.407778i | ||||
\(129\) | 162.263 | − | 62.2824i | 1.25785 | − | 0.482809i | ||||
\(130\) | 63.5579 | − | 110.085i | 0.488907 | − | 0.846811i | ||||
\(131\) | −151.267 | + | 87.3343i | −1.15471 | + | 0.666674i | −0.950031 | − | 0.312155i | \(-0.898949\pi\) |
−0.204682 | + | 0.978829i | \(0.565616\pi\) | |||||||
\(132\) | −11.8882 | + | 14.6800i | −0.0900621 | + | 0.111212i | ||||
\(133\) | 135.961 | + | 37.7482i | 1.02226 | + | 0.283821i | ||||
\(134\) | 129.240i | 0.964476i | ||||||||
\(135\) | 3.15521 | + | 60.2913i | 0.0233719 | + | 0.446602i | ||||
\(136\) | 32.5216 | − | 56.3290i | 0.239129 | − | 0.414184i | ||||
\(137\) | 224.197 | + | 129.440i | 1.63648 | + | 0.944820i | 0.982033 | + | 0.188709i | \(0.0604304\pi\) |
0.654444 | + | 0.756111i | \(0.272903\pi\) | |||||||
\(138\) | 26.8497 | − | 169.495i | 0.194563 | − | 1.22822i | ||||
\(139\) | −214.685 | −1.54449 | −0.772247 | − | 0.635323i | \(-0.780867\pi\) | ||||
−0.772247 | + | 0.635323i | \(0.780867\pi\) | |||||||
\(140\) | −56.2027 | − | 57.2259i | −0.401448 | − | 0.408756i | ||||
\(141\) | −89.7261 | + | 110.797i | −0.636356 | + | 0.785794i | ||||
\(142\) | 1.17688 | + | 2.03842i | 0.00828791 | + | 0.0143551i | ||||
\(143\) | 20.0267 | + | 11.5624i | 0.140047 | + | 0.0808563i | ||||
\(144\) | 87.6323 | + | 28.4783i | 0.608558 | + | 0.197766i | ||||
\(145\) | 35.7344 | + | 61.8938i | 0.246444 | + | 0.426854i | ||||
\(146\) | − | 26.2998i | − | 0.180136i | ||||||
\(147\) | −50.1925 | − | 138.166i | −0.341445 | − | 0.939902i | ||||
\(148\) | −102.228 | −0.690728 | ||||||||
\(149\) | 111.858 | − | 64.5815i | 0.750727 | − | 0.433433i | −0.0752293 | − | 0.997166i | \(-0.523969\pi\) |
0.825957 | + | 0.563734i | \(0.190636\pi\) | |||||||
\(150\) | −16.2366 | − | 42.3009i | −0.108244 | − | 0.282006i | ||||
\(151\) | −79.3906 | + | 137.509i | −0.525766 | + | 0.910653i | 0.473784 | + | 0.880641i | \(0.342888\pi\) |
−0.999550 | + | 0.0300119i | \(0.990445\pi\) | |||||||
\(152\) | −59.2912 | + | 34.2318i | −0.390074 | + | 0.225209i | ||||
\(153\) | 168.591 | − | 35.8262i | 1.10190 | − | 0.234158i | ||||
\(154\) | 18.5368 | − | 18.2054i | 0.120369 | − | 0.118217i | ||||
\(155\) | − | 65.6411i | − | 0.423491i | ||||||
\(156\) | −45.2665 | + | 285.755i | −0.290170 | + | 1.83176i | ||||
\(157\) | 20.1933 | − | 34.9759i | 0.128620 | − | 0.222776i | −0.794522 | − | 0.607235i | \(-0.792279\pi\) |
0.923142 | + | 0.384459i | \(0.125612\pi\) | |||||||
\(158\) | −163.641 | − | 94.4784i | −1.03570 | − | 0.597964i | ||||
\(159\) | 10.9658 | + | 1.73709i | 0.0689674 | + | 0.0109251i | ||||
\(160\) | −99.5311 | −0.622070 | ||||||||
\(161\) | −35.4626 | + | 127.729i | −0.220265 | + | 0.793345i | ||||
\(162\) | −99.4954 | − | 223.530i | −0.614169 | − | 1.37982i | ||||
\(163\) | 100.113 | + | 173.401i | 0.614191 | + | 1.06381i | 0.990526 | + | 0.137326i | \(0.0438509\pi\) |
−0.376335 | + | 0.926484i | \(0.622816\pi\) | |||||||
\(164\) | 259.329 | + | 149.723i | 1.58127 | + | 0.912948i | ||||
\(165\) | 7.69537 | − | 2.95375i | 0.0466386 | − | 0.0179015i | ||||
\(166\) | −114.110 | − | 197.644i | −0.687407 | − | 1.19062i | ||||
\(167\) | − | 44.2191i | − | 0.264785i | −0.991197 | − | 0.132393i | \(-0.957734\pi\) | ||
0.991197 | − | 0.132393i | \(-0.0422659\pi\) | |||||||
\(168\) | 64.8931 | + | 29.5985i | 0.386269 | + | 0.176181i | ||||
\(169\) | 185.181 | 1.09574 | ||||||||
\(170\) | −112.021 | + | 64.6753i | −0.658947 | + | 0.380443i | ||||
\(171\) | −172.537 | − | 56.0701i | −1.00899 | − | 0.327895i | ||||
\(172\) | 148.441 | − | 257.108i | 0.863032 | − | 1.49481i | ||||
\(173\) | 118.309 | − | 68.3058i | 0.683868 | − | 0.394831i | −0.117443 | − | 0.993080i | \(-0.537470\pi\) |
0.801311 | + | 0.598248i | \(0.204136\pi\) | |||||||
\(174\) | −225.086 | − | 182.280i | −1.29360 | − | 1.04759i | ||||
\(175\) | 8.75336 | + | 33.8877i | 0.0500192 | + | 0.193644i | ||||
\(176\) | − | 12.5803i | − | 0.0714788i | ||||||
\(177\) | −76.5319 | − | 12.1234i | −0.432384 | − | 0.0684939i | ||||
\(178\) | 128.241 | − | 222.120i | 0.720456 | − | 1.24787i | ||||
\(179\) | −154.564 | − | 89.2377i | −0.863488 | − | 0.498535i | 0.00169111 | − | 0.999999i | \(-0.499462\pi\) |
−0.865179 | + | 0.501464i | \(0.832795\pi\) | |||||||
\(180\) | 69.0012 | + | 76.6413i | 0.383340 | + | 0.425785i | ||||
\(181\) | 359.028 | 1.98358 | 0.991791 | − | 0.127869i | \(-0.0408138\pi\) | ||||
0.991791 | + | 0.127869i | \(0.0408138\pi\) | |||||||
\(182\) | 106.456 | − | 383.431i | 0.584923 | − | 2.10677i | ||||
\(183\) | −195.352 | − | 158.201i | −1.06750 | − | 0.864488i | ||||
\(184\) | −32.1591 | − | 55.7013i | −0.174778 | − | 0.302724i | ||||
\(185\) | 38.6315 | + | 22.3039i | 0.208819 | + | 0.120562i | ||||
\(186\) | 95.3268 | + | 248.353i | 0.512510 | + | 1.33523i | ||||
\(187\) | −11.7657 | − | 20.3788i | −0.0629184 | − | 0.108978i | ||||
\(188\) | 243.531i | 1.29538i | ||||||||
\(189\) | 56.7670 | + | 180.273i | 0.300355 | + | 0.953828i | ||||
\(190\) | 136.153 | 0.716594 | ||||||||
\(191\) | 45.5863 | − | 26.3192i | 0.238672 | − | 0.137797i | −0.375894 | − | 0.926662i | \(-0.622664\pi\) |
0.614566 | + | 0.788865i | \(0.289331\pi\) | |||||||
\(192\) | 261.877 | − | 100.518i | 1.36394 | − | 0.523530i | ||||
\(193\) | −34.7721 | + | 60.2270i | −0.180166 | + | 0.312057i | −0.941937 | − | 0.335790i | \(-0.890997\pi\) |
0.761771 | + | 0.647847i | \(0.224330\pi\) | |||||||
\(194\) | 350.288 | − | 202.239i | 1.80561 | − | 1.04247i | ||||
\(195\) | 79.4518 | − | 98.1098i | 0.407445 | − | 0.503127i | ||||
\(196\) | −215.155 | − | 129.450i | −1.09773 | − | 0.660458i | ||||
\(197\) | 52.8910i | 0.268482i | 0.990949 | + | 0.134241i | \(0.0428596\pi\) | ||||
−0.990949 | + | 0.134241i | \(0.957140\pi\) | |||||||
\(198\) | −24.8259 | + | 22.3511i | −0.125383 | + | 0.112884i | ||||
\(199\) | 27.7463 | − | 48.0580i | 0.139429 | − | 0.241497i | −0.787852 | − | 0.615865i | \(-0.788807\pi\) |
0.927280 | + | 0.374367i | \(0.122140\pi\) | |||||||
\(200\) | −14.7069 | − | 8.49101i | −0.0735343 | − | 0.0424551i | ||||
\(201\) | −20.0824 | + | 126.775i | −0.0999127 | + | 0.630722i | ||||
\(202\) | 321.643 | 1.59229 | ||||||||
\(203\) | 156.769 | + | 159.623i | 0.772263 | + | 0.786322i | ||||
\(204\) | 185.281 | − | 228.791i | 0.908239 | − | 1.12152i | ||||
\(205\) | −65.3330 | − | 113.160i | −0.318698 | − | 0.552000i | ||||
\(206\) | 171.717 | + | 99.1410i | 0.833579 | + | 0.481267i | ||||
\(207\) | 52.6752 | − | 162.090i | 0.254470 | − | 0.783044i | ||||
\(208\) | −96.3396 | − | 166.865i | −0.463171 | − | 0.802236i | ||||
\(209\) | 24.7689i | 0.118512i | ||||||||
\(210\) | −82.3316 | − | 115.502i | −0.392055 | − | 0.550011i | ||||
\(211\) | −174.983 | −0.829302 | −0.414651 | − | 0.909980i | \(-0.636096\pi\) | ||||
−0.414651 | + | 0.909980i | \(0.636096\pi\) | |||||||
\(212\) | 16.4238 | − | 9.48230i | 0.0774709 | − | 0.0447278i | ||||
\(213\) | 0.837690 | + | 2.18242i | 0.00393282 | + | 0.0102461i | ||||
\(214\) | −75.4725 | + | 130.722i | −0.352675 | + | 0.610851i | ||||
\(215\) | −112.191 | + | 64.7736i | −0.521819 | + | 0.301272i | ||||
\(216\) | −81.7048 | − | 41.6384i | −0.378263 | − | 0.192770i | ||||
\(217\) | −51.3920 | − | 198.959i | −0.236830 | − | 0.916862i | ||||
\(218\) | 617.691i | 2.83345i | ||||||||
\(219\) | 4.08670 | − | 25.7982i | 0.0186607 | − | 0.117800i | ||||
\(220\) | 7.03987 | − | 12.1934i | 0.0319994 | − | 0.0554246i | ||||
\(221\) | −312.122 | − | 180.204i | −1.41232 | − | 0.815402i | ||||
\(222\) | −178.553 | − | 28.2846i | −0.804294 | − | 0.127408i | ||||
\(223\) | −193.145 | −0.866121 | −0.433061 | − | 0.901365i | \(-0.642566\pi\) | ||||
−0.433061 | + | 0.901365i | \(0.642566\pi\) | |||||||
\(224\) | −301.680 | + | 77.9254i | −1.34679 | + | 0.347881i | ||||
\(225\) | −9.35383 | − | 44.0171i | −0.0415726 | − | 0.195632i | ||||
\(226\) | 192.040 | + | 332.623i | 0.849736 | + | 1.47179i | ||||
\(227\) | 260.268 | + | 150.266i | 1.14655 | + | 0.661964i | 0.948045 | − | 0.318135i | \(-0.103057\pi\) |
0.198509 | + | 0.980099i | \(0.436390\pi\) | |||||||
\(228\) | −289.307 | + | 111.046i | −1.26889 | + | 0.487046i | ||||
\(229\) | −51.8598 | − | 89.8238i | −0.226462 | − | 0.392244i | 0.730295 | − | 0.683132i | \(-0.239383\pi\) |
−0.956757 | + | 0.290888i | \(0.906049\pi\) | |||||||
\(230\) | 127.909i | 0.556127i | ||||||||
\(231\) | 21.0122 | − | 14.9778i | 0.0909618 | − | 0.0648388i | ||||
\(232\) | −108.555 | −0.467911 | ||||||||
\(233\) | −74.8292 | + | 43.2027i | −0.321155 | + | 0.185419i | −0.651907 | − | 0.758299i | \(-0.726031\pi\) |
0.330752 | + | 0.943718i | \(0.392698\pi\) | |||||||
\(234\) | −158.127 | + | 486.582i | −0.675756 | + | 2.07941i | ||||
\(235\) | 53.1334 | − | 92.0297i | 0.226100 | − | 0.391616i | ||||
\(236\) | −114.624 | + | 66.1783i | −0.485696 | + | 0.280416i | ||||
\(237\) | −145.840 | − | 118.105i | −0.615357 | − | 0.498332i | ||||
\(238\) | −288.901 | + | 283.736i | −1.21387 | + | 1.19217i | ||||
\(239\) | − | 17.2002i | − | 0.0719672i | −0.999352 | − | 0.0359836i | \(-0.988544\pi\) | ||
0.999352 | − | 0.0359836i | \(-0.0114564\pi\) | |||||||
\(240\) | −67.8339 | − | 10.7456i | −0.282641 | − | 0.0447732i | ||||
\(241\) | 70.3979 | − | 121.933i | 0.292107 | − | 0.505945i | −0.682200 | − | 0.731165i | \(-0.738977\pi\) |
0.974308 | + | 0.225220i | \(0.0723102\pi\) | |||||||
\(242\) | −312.583 | − | 180.470i | −1.29166 | − | 0.745742i | ||||
\(243\) | −62.8637 | − | 234.728i | −0.258698 | − | 0.965958i | ||||
\(244\) | −429.384 | −1.75977 | ||||||||
\(245\) | 53.0631 | + | 95.8609i | 0.216584 | + | 0.391269i | ||||
\(246\) | 411.523 | + | 333.262i | 1.67286 | + | 1.35472i | ||||
\(247\) | 189.680 | + | 328.536i | 0.767937 | + | 1.33011i | ||||
\(248\) | 86.3458 | + | 49.8518i | 0.348169 | + | 0.201015i | ||||
\(249\) | −81.2218 | − | 211.606i | −0.326192 | − | 0.849822i | ||||
\(250\) | 16.8860 | + | 29.2474i | 0.0675440 | + | 0.116990i | ||||
\(251\) | − | 201.133i | − | 0.801329i | −0.916225 | − | 0.400664i | \(-0.868779\pi\) | ||
0.916225 | − | 0.400664i | \(-0.131221\pi\) | |||||||
\(252\) | 269.148 | + | 178.278i | 1.06805 | + | 0.707452i | ||||
\(253\) | −23.2692 | −0.0919733 | ||||||||
\(254\) | −96.3069 | + | 55.6028i | −0.379161 | + | 0.218909i | ||||
\(255\) | −119.934 | + | 46.0351i | −0.470331 | + | 0.180530i | ||||
\(256\) | −29.3390 | + | 50.8166i | −0.114605 | + | 0.198502i | ||||
\(257\) | −240.370 | + | 138.777i | −0.935290 | + | 0.539990i | −0.888481 | − | 0.458914i | \(-0.848239\pi\) |
−0.0468093 | + | 0.998904i | \(0.514905\pi\) | |||||||
\(258\) | 330.409 | − | 408.000i | 1.28065 | − | 1.58139i | ||||
\(259\) | 134.555 | + | 37.3579i | 0.519517 | + | 0.144239i | ||||
\(260\) | − | 215.645i | − | 0.829405i | ||||||
\(261\) | −192.469 | − | 213.780i | −0.737429 | − | 0.819080i | ||||
\(262\) | −263.807 | + | 456.927i | −1.00690 | + | 1.74400i | ||||
\(263\) | −118.944 | − | 68.6721i | −0.452257 | − | 0.261111i | 0.256526 | − | 0.966537i | \(-0.417422\pi\) |
−0.708783 | + | 0.705427i | \(0.750755\pi\) | |||||||
\(264\) | −1.95889 | + | 12.3659i | −0.00742002 | + | 0.0468406i | ||||
\(265\) | −8.27535 | −0.0312277 | ||||||||
\(266\) | 412.681 | − | 106.597i | 1.55143 | − | 0.400742i | ||||
\(267\) | 160.311 | − | 197.957i | 0.600414 | − | 0.741412i | ||||
\(268\) | 109.624 | + | 189.875i | 0.409046 | + | 0.708488i | ||||
\(269\) | 156.731 | + | 90.4884i | 0.582641 | + | 0.336388i | 0.762182 | − | 0.647362i | \(-0.224128\pi\) |
−0.179541 | + | 0.983750i | \(0.557461\pi\) | |||||||
\(270\) | 99.3138 | + | 152.955i | 0.367829 | + | 0.566499i | ||||
\(271\) | −11.5380 | − | 19.9844i | −0.0425757 | − | 0.0737433i | 0.843952 | − | 0.536418i | \(-0.180223\pi\) |
−0.886528 | + | 0.462675i | \(0.846890\pi\) | |||||||
\(272\) | 196.067i | 0.720834i | ||||||||
\(273\) | 164.007 | − | 359.577i | 0.600758 | − | 1.31713i | ||||
\(274\) | 781.991 | 2.85398 | ||||||||
\(275\) | −5.32069 | + | 3.07190i | −0.0193480 | + | 0.0111706i | ||||
\(276\) | −104.323 | − | 271.791i | −0.377981 | − | 0.984748i | ||||
\(277\) | −58.5237 | + | 101.366i | −0.211277 | + | 0.365942i | −0.952114 | − | 0.305742i | \(-0.901095\pi\) |
0.740838 | + | 0.671684i | \(0.234429\pi\) | |||||||
\(278\) | −561.608 | + | 324.245i | −2.02017 | + | 1.16635i | ||||
\(279\) | 54.9175 | + | 258.430i | 0.196837 | + | 0.926271i | ||||
\(280\) | −51.2245 | − | 14.2220i | −0.182945 | − | 0.0507928i | ||||
\(281\) | − | 545.470i | − | 1.94117i | −0.240750 | − | 0.970587i | \(-0.577393\pi\) | ||
0.240750 | − | 0.970587i | \(-0.422607\pi\) | |||||||
\(282\) | −67.3809 | + | 425.357i | −0.238939 | + | 1.50836i | ||||
\(283\) | 16.3060 | − | 28.2428i | 0.0576182 | − | 0.0997977i | −0.835778 | − | 0.549068i | \(-0.814983\pi\) |
0.893396 | + | 0.449270i | \(0.148316\pi\) | |||||||
\(284\) | 3.45807 | + | 1.99652i | 0.0121763 | + | 0.00703000i | ||||
\(285\) | 133.556 | + | 21.1567i | 0.468619 | + | 0.0742339i | ||||
\(286\) | 69.8525 | 0.244239 | ||||||||
\(287\) | −286.621 | − | 291.839i | −0.998679 | − | 1.01686i | ||||
\(288\) | 391.855 | − | 83.2709i | 1.36061 | − | 0.289135i | ||||
\(289\) | 38.8722 | + | 67.3286i | 0.134506 | + | 0.232971i | ||||
\(290\) | 186.960 | + | 107.941i | 0.644690 | + | 0.372212i | ||||
\(291\) | 375.033 | − | 143.951i | 1.28877 | − | 0.494677i | ||||
\(292\) | −22.3081 | − | 38.6388i | −0.0763976 | − | 0.132325i | ||||
\(293\) | − | 180.379i | − | 0.615628i | −0.951447 | − | 0.307814i | \(-0.900403\pi\) | ||
0.951447 | − | 0.307814i | \(-0.0995974\pi\) | |||||||
\(294\) | −339.978 | − | 285.630i | −1.15639 | − | 0.971529i | ||||
\(295\) | 57.7548 | 0.195779 | ||||||||
\(296\) | −58.6781 | + | 33.8778i | −0.198237 | + | 0.114452i | ||||
\(297\) | −27.8255 | + | 18.0672i | −0.0936887 | + | 0.0608322i | ||||
\(298\) | 195.079 | − | 337.886i | 0.654627 | − | 1.13385i | ||||
\(299\) | −308.644 | + | 178.196i | −1.03225 | + | 0.595972i | ||||
\(300\) | −59.7348 | − | 48.3748i | −0.199116 | − | 0.161249i | ||||
\(301\) | −289.340 | + | 284.167i | −0.961262 | + | 0.944075i | ||||
\(302\) | 479.624i | 1.58816i | ||||||||
\(303\) | 315.509 | + | 49.9798i | 1.04128 | + | 0.164950i | ||||
\(304\) | 103.189 | − | 178.728i | 0.339437 | − | 0.587922i | ||||
\(305\) | 162.263 | + | 93.6825i | 0.532009 | + | 0.307156i | ||||
\(306\) | 386.918 | − | 348.348i | 1.26444 | − | 1.13839i | ||||
\(307\) | −396.005 | −1.28992 | −0.644960 | − | 0.764217i | \(-0.723126\pi\) | ||||
−0.644960 | + | 0.764217i | \(0.723126\pi\) | |||||||
\(308\) | 11.7914 | − | 42.4701i | 0.0382838 | − | 0.137890i | ||||
\(309\) | 153.037 | + | 123.933i | 0.495265 | + | 0.401078i | ||||
\(310\) | −99.1398 | − | 171.715i | −0.319806 | − | 0.553920i | ||||
\(311\) | 112.551 | + | 64.9812i | 0.361899 | + | 0.208943i | 0.669914 | − | 0.742439i | \(-0.266331\pi\) |
−0.308014 | + | 0.951382i | \(0.599664\pi\) | |||||||
\(312\) | 68.7154 | + | 179.023i | 0.220242 | + | 0.573792i | ||||
\(313\) | 105.619 | + | 182.938i | 0.337441 | + | 0.584466i | 0.983951 | − | 0.178440i | \(-0.0571052\pi\) |
−0.646509 | + | 0.762906i | \(0.723772\pi\) | |||||||
\(314\) | − | 121.995i | − | 0.388518i | ||||||
\(315\) | −62.8136 | − | 126.093i | −0.199408 | − | 0.400295i | ||||
\(316\) | −320.555 | −1.01442 | ||||||||
\(317\) | 402.217 | − | 232.220i | 1.26882 | − | 0.732556i | 0.294059 | − | 0.955787i | \(-0.404994\pi\) |
0.974766 | + | 0.223231i | \(0.0716604\pi\) | |||||||
\(318\) | 31.3098 | − | 12.0178i | 0.0984585 | − | 0.0377919i | ||||
\(319\) | −19.6367 | + | 34.0118i | −0.0615571 | + | 0.106620i | ||||
\(320\) | −181.066 | + | 104.538i | −0.565831 | + | 0.326683i | ||||
\(321\) | −94.3459 | + | 116.502i | −0.293913 | + | 0.362933i | ||||
\(322\) | 100.143 | + | 387.694i | 0.311004 | + | 1.20402i | ||||
\(323\) | − | 386.031i | − | 1.19514i | ||||||
\(324\) | −335.779 | − | 244.009i | −1.03635 | − | 0.753114i | ||||
\(325\) | −47.0492 | + | 81.4916i | −0.144767 | + | 0.250744i | ||||
\(326\) | 523.786 | + | 302.408i | 1.60670 | + | 0.927631i | ||||
\(327\) | −95.9824 | + | 605.911i | −0.293524 | + | 1.85294i | ||||
\(328\) | 198.471 | 0.605095 | ||||||||
\(329\) | 88.9956 | − | 320.543i | 0.270503 | − | 0.974294i | ||||
\(330\) | 15.6697 | − | 19.3495i | 0.0474839 | − | 0.0586348i | ||||
\(331\) | −287.337 | − | 497.682i | −0.868087 | − | 1.50357i | −0.863949 | − | 0.503579i | \(-0.832016\pi\) |
−0.00413794 | − | 0.999991i | \(-0.501317\pi\) | |||||||
\(332\) | −335.292 | − | 193.581i | −1.00992 | − | 0.583075i | ||||
\(333\) | −170.753 | − | 55.4904i | −0.512771 | − | 0.166638i | ||||
\(334\) | −66.7855 | − | 115.676i | −0.199956 | − | 0.346335i | ||||
\(335\) | − | 95.6708i | − | 0.285585i | ||||||
\(336\) | −214.018 | + | 20.5389i | −0.636960 | + | 0.0611276i | ||||
\(337\) | −243.217 | −0.721711 | −0.360856 | − | 0.932622i | \(-0.617515\pi\) | ||||
−0.360856 | + | 0.932622i | \(0.617515\pi\) | |||||||
\(338\) | 484.427 | − | 279.684i | 1.43322 | − | 0.827468i | ||||
\(339\) | 136.692 | + | 356.121i | 0.403221 | + | 1.05050i | ||||
\(340\) | −109.718 | + | 190.038i | −0.322701 | + | 0.558934i | ||||
\(341\) | 31.2384 | − | 18.0355i | 0.0916082 | − | 0.0528900i | ||||
\(342\) | −536.035 | + | 113.910i | −1.56735 | + | 0.333070i | ||||
\(343\) | 235.887 | + | 249.011i | 0.687716 | + | 0.725980i | ||||
\(344\) | − | 196.772i | − | 0.572011i | ||||||
\(345\) | −19.8757 | + | 125.470i | −0.0576107 | + | 0.363681i | ||||
\(346\) | 206.329 | − | 357.372i | 0.596326 | − | 1.03287i | ||||
\(347\) | 262.342 | + | 151.463i | 0.756029 | + | 0.436494i | 0.827868 | − | 0.560922i | \(-0.189553\pi\) |
−0.0718390 | + | 0.997416i | \(0.522887\pi\) | |||||||
\(348\) | −485.303 | − | 76.8769i | −1.39455 | − | 0.220911i | ||||
\(349\) | 91.0108 | 0.260776 | 0.130388 | − | 0.991463i | \(-0.458378\pi\) | ||||
0.130388 | + | 0.991463i | \(0.458378\pi\) | |||||||
\(350\) | 74.0802 | + | 75.4288i | 0.211658 | + | 0.215511i | ||||
\(351\) | −230.721 | + | 452.731i | −0.657324 | + | 1.28983i | ||||
\(352\) | −27.3471 | − | 47.3666i | −0.0776906 | − | 0.134564i | ||||
\(353\) | −192.171 | − | 110.950i | −0.544394 | − | 0.314306i | 0.202464 | − | 0.979290i | \(-0.435105\pi\) |
−0.746858 | + | 0.664984i | \(0.768439\pi\) | |||||||
\(354\) | −218.516 | + | 83.8740i | −0.617276 | + | 0.236932i | ||||
\(355\) | −0.871197 | − | 1.50896i | −0.00245408 | − | 0.00425058i | ||||
\(356\) | − | 435.109i | − | 1.22222i | ||||||
\(357\) | −327.481 | + | 233.432i | −0.917313 | + | 0.653872i | ||||
\(358\) | −539.114 | −1.50590 | ||||||||
\(359\) | −479.747 | + | 276.982i | −1.33634 | + | 0.771538i | −0.986263 | − | 0.165183i | \(-0.947179\pi\) |
−0.350079 | + | 0.936720i | \(0.613845\pi\) | |||||||
\(360\) | 65.0049 | + | 21.1250i | 0.180569 | + | 0.0586805i | ||||
\(361\) | −22.6654 | + | 39.2577i | −0.0627851 | + | 0.108747i | ||||
\(362\) | 939.207 | − | 542.251i | 2.59449 | − | 1.49793i | ||||
\(363\) | −278.578 | − | 225.600i | −0.767433 | − | 0.621487i | ||||
\(364\) | −168.834 | − | 653.623i | −0.463829 | − | 1.79567i | ||||
\(365\) | 19.4686i | 0.0533387i | ||||||||
\(366\) | −749.972 | − | 118.803i | −2.04910 | − | 0.324598i | ||||
\(367\) | 213.410 | − | 369.637i | 0.581499 | − | 1.00719i | −0.413803 | − | 0.910367i | \(-0.635800\pi\) |
0.995302 | − | 0.0968195i | \(-0.0308669\pi\) | |||||||
\(368\) | 167.907 | + | 96.9410i | 0.456268 | + | 0.263427i | ||||
\(369\) | 351.890 | + | 390.853i | 0.953631 | + | 1.05922i | ||||
\(370\) | 134.745 | 0.364176 | ||||||||
\(371\) | −25.0827 | + | 6.47897i | −0.0676083 | + | 0.0174635i | ||||
\(372\) | 350.710 | + | 284.014i | 0.942769 | + | 0.763479i | ||||
\(373\) | 17.0540 | + | 29.5384i | 0.0457211 | + | 0.0791913i | 0.887980 | − | 0.459881i | \(-0.152108\pi\) |
−0.842259 | + | 0.539073i | \(0.818775\pi\) | |||||||
\(374\) | −61.5576 | − | 35.5403i | −0.164592 | − | 0.0950275i | ||||
\(375\) | 12.0192 | + | 31.3135i | 0.0320513 | + | 0.0835028i | ||||
\(376\) | 80.7053 | + | 139.786i | 0.214642 | + | 0.371770i | ||||
\(377\) | 601.511i | 1.59552i | ||||||||
\(378\) | 420.773 | + | 385.853i | 1.11316 | + | 1.02077i | ||||
\(379\) | −366.427 | −0.966826 | −0.483413 | − | 0.875392i | \(-0.660603\pi\) | ||||
−0.483413 | + | 0.875392i | \(0.660603\pi\) | |||||||
\(380\) | 200.031 | − | 115.488i | 0.526398 | − | 0.303916i | ||||
\(381\) | −103.110 | + | 39.5774i | −0.270631 | + | 0.103878i | ||||
\(382\) | 79.5015 | − | 137.701i | 0.208119 | − | 0.360473i | ||||
\(383\) | 27.1258 | − | 15.6611i | 0.0708245 | − | 0.0408905i | −0.464170 | − | 0.885746i | \(-0.653647\pi\) |
0.534994 | + | 0.844856i | \(0.320314\pi\) | |||||||
\(384\) | 197.092 | − | 243.376i | 0.513261 | − | 0.633793i | ||||
\(385\) | −13.7220 | + | 13.4767i | −0.0356416 | + | 0.0350043i | ||||
\(386\) | 210.069i | 0.544221i | ||||||||
\(387\) | 387.506 | − | 348.877i | 1.00131 | − | 0.901491i | ||||
\(388\) | 343.088 | − | 594.245i | 0.884247 | − | 1.53156i | ||||
\(389\) | −96.1676 | − | 55.5224i | −0.247218 | − | 0.142731i | 0.371272 | − | 0.928524i | \(-0.378922\pi\) |
−0.618490 | + | 0.785793i | \(0.712255\pi\) | |||||||
\(390\) | 59.6653 | − | 376.651i | 0.152988 | − | 0.965771i | ||||
\(391\) | 362.657 | 0.927513 | ||||||||
\(392\) | −166.397 | − | 3.00212i | −0.424482 | − | 0.00765846i | ||||
\(393\) | −329.778 | + | 407.221i | −0.839129 | + | 1.03618i | ||||
\(394\) | 79.8828 | + | 138.361i | 0.202748 | + | 0.351170i | ||||
\(395\) | 121.137 | + | 69.9384i | 0.306675 | + | 0.177059i | ||||
\(396\) | −17.5146 | + | 53.8954i | −0.0442289 | + | 0.136099i | ||||
\(397\) | −192.946 | − | 334.192i | −0.486009 | − | 0.841792i | 0.513862 | − | 0.857873i | \(-0.328214\pi\) |
−0.999871 | + | 0.0160808i | \(0.994881\pi\) | |||||||
\(398\) | − | 167.624i | − | 0.421167i | ||||||
\(399\) | 421.375 | − | 40.4384i | 1.05608 | − | 0.101349i | ||||
\(400\) | 51.1909 | 0.127977 | ||||||||
\(401\) | 316.717 | − | 182.857i | 0.789817 | − | 0.456001i | −0.0500808 | − | 0.998745i | \(-0.515948\pi\) |
0.839898 | + | 0.542744i | \(0.182615\pi\) | |||||||
\(402\) | 138.937 | + | 361.971i | 0.345615 | + | 0.900425i | ||||
\(403\) | 276.232 | − | 478.447i | 0.685438 | − | 1.18721i | ||||
\(404\) | 472.547 | − | 272.825i | 1.16967 | − | 0.675310i | ||||
\(405\) | 73.6522 | + | 165.470i | 0.181857 | + | 0.408568i | ||||
\(406\) | 651.188 | + | 180.796i | 1.60391 | + | 0.445311i | ||||
\(407\) | 24.5128i | 0.0602281i | ||||||||
\(408\) | 30.5298 | − | 192.726i | 0.0748279 | − | 0.472368i | ||||
\(409\) | 37.9388 | − | 65.7119i | 0.0927599 | − | 0.160665i | −0.815912 | − | 0.578177i | \(-0.803764\pi\) |
0.908671 | + | 0.417512i | \(0.137098\pi\) | |||||||
\(410\) | −341.818 | − | 197.349i | −0.833703 | − | 0.481339i | ||||
\(411\) | 767.077 | + | 121.513i | 1.86637 | + | 0.295651i | ||||
\(412\) | 336.375 | 0.816444 | ||||||||
\(413\) | 175.055 | − | 45.2176i | 0.423863 | − | 0.109486i | ||||
\(414\) | −107.013 | − | 503.580i | −0.258485 | − | 1.21638i | ||||
\(415\) | 84.4705 | + | 146.307i | 0.203543 | + | 0.352548i | ||||
\(416\) | −725.466 | − | 418.848i | −1.74391 | − | 1.00685i | ||||
\(417\) | −601.282 | + | 230.793i | −1.44192 | + | 0.553461i | ||||
\(418\) | 37.4093 | + | 64.7947i | 0.0894958 | + | 0.155011i | ||||
\(419\) | 394.222i | 0.940864i | 0.882436 | + | 0.470432i | \(0.155902\pi\) | ||||
−0.882436 | + | 0.470432i | \(0.844098\pi\) | |||||||
\(420\) | −218.931 | − | 99.8566i | −0.521263 | − | 0.237754i | ||||
\(421\) | 50.8766 | 0.120847 | 0.0604235 | − | 0.998173i | \(-0.480755\pi\) | ||||
0.0604235 | + | 0.998173i | \(0.480755\pi\) | |||||||
\(422\) | −457.750 | + | 264.282i | −1.08471 | + | 0.626260i | ||||
\(423\) | −132.192 | + | 406.775i | −0.312510 | + | 0.961643i | ||||
\(424\) | 6.28479 | − | 10.8856i | 0.0148226 | − | 0.0256735i | ||||
\(425\) | 82.9244 | − | 47.8764i | 0.195116 | − | 0.112650i | ||||
\(426\) | 5.48755 | + | 4.44396i | 0.0128816 | + | 0.0104318i | ||||
\(427\) | 565.167 | + | 156.913i | 1.32358 | + | 0.367478i | ||||
\(428\) | 256.070i | 0.598295i | ||||||||
\(429\) | 68.5203 | + | 10.8543i | 0.159721 | + | 0.0253014i | ||||
\(430\) | −195.659 | + | 338.891i | −0.455021 | + | 0.788119i | ||||
\(431\) | −452.693 | − | 261.362i | −1.05033 | − | 0.606409i | −0.127589 | − | 0.991827i | \(-0.540724\pi\) |
−0.922742 | + | 0.385418i | \(0.874057\pi\) | |||||||
\(432\) | 276.053 | − | 14.4466i | 0.639012 | − | 0.0334412i | ||||
\(433\) | −458.230 | −1.05827 | −0.529134 | − | 0.848538i | \(-0.677483\pi\) | ||||
−0.529134 | + | 0.848538i | \(0.677483\pi\) | |||||||
\(434\) | −434.934 | − | 442.852i | −1.00215 | − | 1.02040i | ||||
\(435\) | 166.622 | + | 134.934i | 0.383038 | + | 0.310194i | ||||
\(436\) | 523.940 | + | 907.492i | 1.20170 | + | 2.08140i | ||||
\(437\) | −330.587 | − | 190.864i | −0.756491 | − | 0.436761i | ||||
\(438\) | −28.2732 | − | 73.6596i | −0.0645506 | − | 0.168173i | ||||
\(439\) | 24.8300 | + | 43.0069i | 0.0565605 | + | 0.0979656i | 0.892919 | − | 0.450217i | \(-0.148653\pi\) |
−0.836359 | + | 0.548182i | \(0.815320\pi\) | |||||||
\(440\) | − | 9.33194i | − | 0.0212090i | ||||||
\(441\) | −289.110 | − | 333.011i | −0.655578 | − | 0.755127i | ||||
\(442\) | −1088.67 | −2.46305 | ||||||||
\(443\) | −394.066 | + | 227.514i | −0.889541 | + | 0.513576i | −0.873792 | − | 0.486300i | \(-0.838346\pi\) |
−0.0157484 | + | 0.999876i | \(0.505013\pi\) | |||||||
\(444\) | −286.316 | + | 109.898i | −0.644856 | + | 0.247519i | ||||
\(445\) | −94.9316 | + | 164.426i | −0.213329 | + | 0.369497i | ||||
\(446\) | −505.262 | + | 291.713i | −1.13287 | + | 0.654065i | ||||
\(447\) | 243.862 | − | 301.129i | 0.545553 | − | 0.673667i | ||||
\(448\) | −466.967 | + | 458.618i | −1.04234 | + | 1.02370i | ||||
\(449\) | − | 678.117i | − | 1.51028i | −0.655562 | − | 0.755141i | \(-0.727568\pi\) | ||
0.655562 | − | 0.755141i | \(-0.272432\pi\) | |||||||
\(450\) | −90.9497 | − | 101.020i | −0.202110 | − | 0.224489i | ||||
\(451\) | 35.9017 | − | 62.1835i | 0.0796046 | − | 0.137879i | ||||
\(452\) | 564.278 | + | 325.786i | 1.24840 | + | 0.720766i | ||||
\(453\) | −74.5283 | + | 470.477i | −0.164522 | + | 1.03858i | ||||
\(454\) | 907.804 | 1.99957 | ||||||||
\(455\) | −78.8049 | + | 283.838i | −0.173198 | + | 0.623820i | ||||
\(456\) | −129.261 | + | 159.615i | −0.283466 | + | 0.350034i | ||||
\(457\) | −231.511 | − | 400.988i | −0.506588 | − | 0.877436i | −0.999971 | − | 0.00762394i | \(-0.997573\pi\) |
0.493383 | − | 0.869812i | \(-0.335760\pi\) | |||||||
\(458\) | −271.327 | − | 156.651i | −0.592418 | − | 0.342033i | ||||
\(459\) | 433.669 | − | 281.582i | 0.944812 | − | 0.613467i | ||||
\(460\) | 108.496 | + | 187.920i | 0.235860 | + | 0.408522i | ||||
\(461\) | 766.505i | 1.66270i | 0.555749 | + | 0.831350i | \(0.312432\pi\) | ||||
−0.555749 | + | 0.831350i | \(0.687568\pi\) | |||||||
\(462\) | 32.3459 | − | 70.9167i | 0.0700127 | − | 0.153499i | ||||
\(463\) | 102.747 | 0.221915 | 0.110958 | − | 0.993825i | \(-0.464608\pi\) | ||||
0.110958 | + | 0.993825i | \(0.464608\pi\) | |||||||
\(464\) | 283.390 | − | 163.615i | 0.610754 | − | 0.352619i | ||||
\(465\) | −70.5664 | − | 183.846i | −0.151756 | − | 0.395367i | ||||
\(466\) | −130.501 | + | 226.034i | −0.280044 | + | 0.485051i | ||||
\(467\) | 563.725 | − | 325.467i | 1.20712 | − | 0.696931i | 0.244990 | − | 0.969526i | \(-0.421215\pi\) |
0.962129 | + | 0.272595i | \(0.0878819\pi\) | |||||||
\(468\) | 180.416 | + | 848.997i | 0.385503 | + | 1.81410i | ||||
\(469\) | −74.9030 | − | 289.979i | −0.159708 | − | 0.618293i | ||||
\(470\) | − | 320.996i | − | 0.682970i | ||||||
\(471\) | 18.9566 | − | 119.668i | 0.0402476 | − | 0.254072i | ||||
\(472\) | −43.8624 | + | 75.9720i | −0.0929289 | + | 0.160958i | ||||
\(473\) | −61.6511 | − | 35.5943i | −0.130341 | − | 0.0752522i | ||||
\(474\) | −559.889 | − | 88.6920i | −1.18120 | − | 0.187114i | ||||
\(475\) | −100.788 | −0.212186 | ||||||||
\(476\) | −183.772 | + | 661.907i | −0.386076 | + | 1.39056i | ||||
\(477\) | 32.5801 | − | 6.92342i | 0.0683022 | − | 0.0145145i | ||||
\(478\) | −25.9779 | − | 44.9951i | −0.0543471 | − | 0.0941320i | ||||
\(479\) | −293.202 | − | 169.280i | −0.612112 | − | 0.353403i | 0.161680 | − | 0.986843i | \(-0.448309\pi\) |
−0.773792 | + | 0.633440i | \(0.781642\pi\) | |||||||
\(480\) | −278.764 | + | 106.999i | −0.580758 | + | 0.222915i | ||||
\(481\) | 187.719 | + | 325.139i | 0.390269 | + | 0.675965i | ||||
\(482\) | − | 425.296i | − | 0.882357i | ||||||
\(483\) | 37.9900 | + | 395.862i | 0.0786542 | + | 0.819589i | ||||
\(484\) | −612.314 | −1.26511 | ||||||||
\(485\) | −259.304 | + | 149.709i | −0.534646 | + | 0.308678i | ||||
\(486\) | −518.966 | − | 519.096i | −1.06783 | − | 1.06810i | ||||
\(487\) | −108.262 | + | 187.515i | −0.222304 | + | 0.385042i | −0.955507 | − | 0.294968i | \(-0.904691\pi\) |
0.733203 | + | 0.680010i | \(0.238024\pi\) | |||||||
\(488\) | −246.464 | + | 142.296i | −0.505049 | + | 0.291590i | ||||
\(489\) | 466.806 | + | 378.031i | 0.954613 | + | 0.773070i | ||||
\(490\) | 283.593 | + | 170.626i | 0.578761 | + | 0.348217i | ||||
\(491\) | 653.638i | 1.33124i | 0.746292 | + | 0.665619i | \(0.231832\pi\) | ||||
−0.746292 | + | 0.665619i | \(0.768168\pi\) | |||||||
\(492\) | 887.277 | + | 140.554i | 1.80341 | + | 0.285678i | ||||
\(493\) | 306.043 | − | 530.083i | 0.620778 | − | 1.07522i | ||||
\(494\) | 992.396 | + | 572.960i | 2.00890 | + | 1.15984i | ||||
\(495\) | 18.3776 | − | 16.5456i | 0.0371264 | − | 0.0334254i | ||||
\(496\) | −300.548 | −0.605943 | ||||||||
\(497\) | −3.82201 | − | 3.89159i | −0.00769016 | − | 0.00783015i | ||||
\(498\) | −532.068 | − | 430.882i | −1.06841 | − | 0.865225i | ||||
\(499\) | −207.790 | − | 359.902i | −0.416412 | − | 0.721247i | 0.579164 | − | 0.815211i | \(-0.303379\pi\) |
−0.995576 | + | 0.0939646i | \(0.970046\pi\) | |||||||
\(500\) | 49.6167 | + | 28.6462i | 0.0992334 | + | 0.0572924i | ||||
\(501\) | −47.5370 | − | 123.847i | −0.0948843 | − | 0.247201i | ||||
\(502\) | −303.778 | − | 526.159i | −0.605135 | − | 1.04813i | ||||
\(503\) | 319.315i | 0.634820i | 0.948288 | + | 0.317410i | \(0.102813\pi\) | ||||
−0.948288 | + | 0.317410i | \(0.897187\pi\) | |||||||
\(504\) | 213.570 | + | 13.1361i | 0.423750 | + | 0.0260637i | ||||
\(505\) | −238.099 | −0.471483 | ||||||||
\(506\) | −60.8716 | + | 35.1442i | −0.120300 | + | 0.0694550i | ||||
\(507\) | 518.648 | − | 199.076i | 1.02297 | − | 0.392654i | ||||
\(508\) | −94.3273 | + | 163.380i | −0.185684 | + | 0.321613i | ||||
\(509\) | 384.362 | − | 221.911i | 0.755131 | − | 0.435975i | −0.0724140 | − | 0.997375i | \(-0.523070\pi\) |
0.827545 | + | 0.561400i | \(0.189737\pi\) | |||||||
\(510\) | −244.217 | + | 301.567i | −0.478856 | + | 0.591308i | ||||
\(511\) | 15.2425 | + | 59.0097i | 0.0298287 | + | 0.115479i | ||||
\(512\) | 594.810i | 1.16174i | ||||||||
\(513\) | −543.513 | + | 28.4435i | −1.05948 | + | 0.0554454i | ||||
\(514\) | −419.200 | + | 726.075i | −0.815563 | + | 1.41260i | ||||
\(515\) | −127.115 | − | 73.3899i | −0.246825 | − | 0.142505i | ||||
\(516\) | 139.350 | − | 879.680i | 0.270058 | − | 1.70481i | ||||
\(517\) | 58.3956 | 0.112951 | ||||||||
\(518\) | 408.414 | − | 105.495i | 0.788444 | − | 0.203659i | ||||
\(519\) | 257.925 | − | 318.495i | 0.496966 | − | 0.613671i | ||||
\(520\) | −71.4640 | − | 123.779i | −0.137431 | − | 0.238037i | ||||
\(521\) | 398.036 | + | 229.806i | 0.763985 | + | 0.441087i | 0.830725 | − | 0.556683i | \(-0.187926\pi\) |
−0.0667394 | + | 0.997770i | \(0.521260\pi\) | |||||||
\(522\) | −826.371 | − | 268.550i | −1.58309 | − | 0.514463i | ||||
\(523\) | −152.912 | − | 264.851i | −0.292375 | − | 0.506408i | 0.681996 | − | 0.731356i | \(-0.261112\pi\) |
−0.974371 | + | 0.224948i | \(0.927779\pi\) | |||||||
\(524\) | 895.070i | 1.70815i | ||||||||
\(525\) | 60.9466 | + | 85.5015i | 0.116089 | + | 0.162860i | ||||
\(526\) | −414.870 | −0.788727 | ||||||||
\(527\) | −486.859 | + | 281.088i | −0.923831 | + | 0.533374i | ||||
\(528\) | −13.5242 | − | 35.2344i | −0.0256140 | − | 0.0667318i | ||||
\(529\) | −85.1919 | + | 147.557i | −0.161043 | + | 0.278935i | ||||
\(530\) | −21.6481 | + | 12.4985i | −0.0408454 | + | 0.0235821i | ||||
\(531\) | −227.381 | + | 48.3195i | −0.428213 | + | 0.0909972i | ||||
\(532\) | 515.879 | − | 506.655i | 0.969697 | − | 0.952359i | ||||
\(533\) | − | 1099.74i | − | 2.06330i | ||||||
\(534\) | 120.387 | − | 759.971i | 0.225444 | − | 1.42317i | ||||
\(535\) | 55.8691 | − | 96.7681i | 0.104428 | − | 0.180875i | ||||
\(536\) | 125.848 | + | 72.6581i | 0.234790 | + | 0.135556i | ||||
\(537\) | −528.832 | − | 83.7723i | −0.984790 | − | 0.156001i | ||||
\(538\) | 546.670 | 1.01611 | ||||||||
\(539\) | −31.0403 | + | 51.5912i | −0.0575888 | + | 0.0957165i | ||||
\(540\) | 275.648 | + | 140.476i | 0.510460 | + | 0.260140i | ||||
\(541\) | 369.076 | + | 639.258i | 0.682211 | + | 1.18162i | 0.974305 | + | 0.225234i | \(0.0723147\pi\) |
−0.292094 | + | 0.956390i | \(0.594352\pi\) | |||||||
\(542\) | −60.3662 | − | 34.8524i | −0.111377 | − | 0.0643034i | ||||
\(543\) | 1005.56 | − | 385.968i | 1.85185 | − | 0.710806i | ||||
\(544\) | 426.212 | + | 738.221i | 0.783478 | + | 1.35702i | ||||
\(545\) | − | 457.251i | − | 0.838993i | ||||||
\(546\) | −114.043 | − | 1188.35i | −0.208870 | − | 2.17646i | ||||
\(547\) | 875.414 | 1.60039 | 0.800196 | − | 0.599739i | \(-0.204729\pi\) | ||||
0.800196 | + | 0.599739i | \(0.204729\pi\) | |||||||
\(548\) | 1148.87 | − | 663.303i | 2.09649 | − | 1.21041i | ||||
\(549\) | −717.208 | − | 233.075i | −1.30639 | − | 0.424544i | ||||
\(550\) | −9.27917 | + | 16.0720i | −0.0168712 | + | 0.0292218i | ||||
\(551\) | −557.958 | + | 322.137i | −1.01263 | + | 0.584641i | ||||
\(552\) | −149.951 | − | 121.434i | −0.271651 | − | 0.219989i | ||||
\(553\) | 421.923 | + | 117.143i | 0.762972 | + | 0.211832i | ||||
\(554\) | 353.560i | 0.638195i | ||||||||
\(555\) | 132.175 | + | 20.9379i | 0.238154 | + | 0.0377260i | ||||
\(556\) | −550.064 | + | 952.739i | −0.989324 | + | 1.71356i | ||||
\(557\) | −295.072 | − | 170.360i | −0.529753 | − | 0.305853i | 0.211163 | − | 0.977451i | \(-0.432275\pi\) |
−0.740916 | + | 0.671598i | \(0.765608\pi\) | |||||||
\(558\) | 533.977 | + | 593.101i | 0.956947 | + | 1.06290i | ||||
\(559\) | −1090.32 | −1.95049 | ||||||||
\(560\) | 155.160 | − | 40.0786i | 0.277072 | − | 0.0715689i | ||||
\(561\) | −54.8610 | − | 44.4279i | −0.0977915 | − | 0.0791941i | ||||
\(562\) | −823.840 | − | 1426.93i | −1.46591 | − | 2.53903i | ||||
\(563\) | −296.094 | − | 170.950i | −0.525923 | − | 0.303642i | 0.213432 | − | 0.976958i | \(-0.431536\pi\) |
−0.739355 | + | 0.673316i | \(0.764869\pi\) | |||||||
\(564\) | 261.804 | + | 682.075i | 0.464192 | + | 1.20935i | ||||
\(565\) | −142.159 | − | 246.227i | −0.251609 | − | 0.435800i | ||||
\(566\) | − | 98.5096i | − | 0.174045i | ||||||
\(567\) | 352.791 | + | 443.878i | 0.622207 | + | 0.782853i | ||||
\(568\) | 2.64656 | 0.00465943 | ||||||||
\(569\) | −615.104 | + | 355.130i | −1.08103 | + | 0.624131i | −0.931173 | − | 0.364578i | \(-0.881213\pi\) |
−0.149853 | + | 0.988708i | \(0.547880\pi\) | |||||||
\(570\) | 381.333 | − | 146.369i | 0.669005 | − | 0.256788i | ||||
\(571\) | −13.7983 | + | 23.8993i | −0.0241651 | + | 0.0418552i | −0.877855 | − | 0.478926i | \(-0.841026\pi\) |
0.853690 | + | 0.520782i | \(0.174359\pi\) | |||||||
\(572\) | 102.625 | − | 59.2505i | 0.179414 | − | 0.103585i | ||||
\(573\) | 99.3825 | − | 122.721i | 0.173442 | − | 0.214173i | ||||
\(574\) | −1190.56 | − | 330.549i | −2.07415 | − | 0.575869i | ||||
\(575\) | − | 94.6858i | − | 0.164671i | ||||||
\(576\) | 625.398 | − | 563.054i | 1.08576 | − | 0.977525i | ||||
\(577\) | −144.408 | + | 250.122i | −0.250274 | + | 0.433488i | −0.963601 | − | 0.267344i | \(-0.913854\pi\) |
0.713327 | + | 0.700831i | \(0.247187\pi\) | |||||||
\(578\) | 203.377 | + | 117.420i | 0.351863 | + | 0.203148i | ||||
\(579\) | −32.6424 | + | 206.063i | −0.0563773 | + | 0.355895i | ||||
\(580\) | 366.234 | 0.631438 | ||||||||
\(581\) | 370.579 | + | 377.325i | 0.637829 | + | 0.649440i | ||||
\(582\) | 763.662 | − | 942.996i | 1.31213 | − | 1.62027i | ||||
\(583\) | −2.27373 | − | 3.93821i | −0.00390005 | − | 0.00675508i | ||||
\(584\) | −25.6095 | − | 14.7856i | −0.0438518 | − | 0.0253179i | ||||
\(585\) | 117.055 | − | 360.196i | 0.200094 | − | 0.615720i | ||||
\(586\) | −272.432 | − | 471.866i | −0.464901 | − | 0.805232i | ||||
\(587\) | − | 942.812i | − | 1.60615i | −0.595876 | − | 0.803077i | \(-0.703195\pi\) | ||
0.595876 | − | 0.803077i | \(-0.296805\pi\) | |||||||
\(588\) | −741.761 | − | 131.260i | −1.26150 | − | 0.223232i | ||||
\(589\) | 591.740 | 1.00465 | ||||||||
\(590\) | 151.085 | − | 87.2289i | 0.256076 | − | 0.147846i | ||||
\(591\) | 56.8596 | + | 148.135i | 0.0962091 | + | 0.250652i | ||||
\(592\) | 102.122 | − | 176.880i | 0.172503 | − | 0.298784i | ||||
\(593\) | 414.204 | − | 239.141i | 0.698489 | − | 0.403273i | −0.108295 | − | 0.994119i | \(-0.534539\pi\) |
0.806784 | + | 0.590846i | \(0.201206\pi\) | |||||||
\(594\) | −45.5034 | + | 89.2889i | −0.0766050 | + | 0.150318i | ||||
\(595\) | 213.861 | − | 210.038i | 0.359431 | − | 0.353004i | ||||
\(596\) | − | 661.882i | − | 1.11054i | ||||||
\(597\) | 26.0470 | − | 164.427i | 0.0436298 | − | 0.275423i | ||||
\(598\) | −538.269 | + | 932.309i | −0.900115 | + | 1.55905i | ||||
\(599\) | 745.356 | + | 430.332i | 1.24433 | + | 0.718417i | 0.969974 | − | 0.243210i | \(-0.0782005\pi\) |
0.274360 | + | 0.961627i | \(0.411534\pi\) | |||||||
\(600\) | −50.3187 | − | 7.97098i | −0.0838644 | − | 0.0132850i | ||||
\(601\) | 29.3420 | 0.0488219 | 0.0244109 | − | 0.999702i | \(-0.492229\pi\) | ||||
0.0244109 | + | 0.999702i | \(0.492229\pi\) | |||||||
\(602\) | −327.718 | + | 1180.37i | −0.544383 | + | 1.96075i | ||||
\(603\) | 80.0413 | + | 376.657i | 0.132738 | + | 0.624638i | ||||
\(604\) | 406.829 | + | 704.648i | 0.673558 | + | 1.16664i | ||||
\(605\) | 231.392 | + | 133.594i | 0.382466 | + | 0.220817i | ||||
\(606\) | 900.848 | − | 345.777i | 1.48655 | − | 0.570589i | ||||
\(607\) | −27.9096 | − | 48.3409i | −0.0459796 | − | 0.0796390i | 0.842120 | − | 0.539291i | \(-0.181308\pi\) |
−0.888099 | + | 0.459652i | \(0.847974\pi\) | |||||||
\(608\) | − | 897.251i | − | 1.47574i | ||||||
\(609\) | 610.675 | + | 278.536i | 1.00275 | + | 0.457365i | ||||
\(610\) | 565.966 | 0.927813 | ||||||||
\(611\) | 774.561 | − | 447.193i | 1.26769 | − | 0.731903i | ||||
\(612\) | 272.970 | − | 839.974i | 0.446030 | − | 1.37251i | ||||
\(613\) | −53.4478 | + | 92.5743i | −0.0871906 | + | 0.151019i | −0.906323 | − | 0.422587i | \(-0.861122\pi\) |
0.819132 | + | 0.573605i | \(0.194456\pi\) | |||||||
\(614\) | −1035.94 | + | 598.099i | −1.68719 | + | 0.974102i | ||||
\(615\) | −304.634 | − | 246.700i | −0.495339 | − | 0.401138i | ||||
\(616\) | −7.30620 | − | 28.2852i | −0.0118607 | − | 0.0459175i | ||||
\(617\) | 965.247i | 1.56442i | 0.623015 | + | 0.782210i | \(0.285908\pi\) | ||||
−0.623015 | + | 0.782210i | \(0.714092\pi\) | |||||||
\(618\) | 587.520 | + | 93.0691i | 0.950680 | + | 0.150597i | ||||
\(619\) | −16.9218 | + | 29.3094i | −0.0273373 | + | 0.0473496i | −0.879370 | − | 0.476138i | \(-0.842036\pi\) |
0.852033 | + | 0.523488i | \(0.175369\pi\) | |||||||
\(620\) | −291.306 | − | 168.185i | −0.469848 | − | 0.271267i | ||||
\(621\) | −26.7213 | − | 510.605i | −0.0430295 | − | 0.822230i | ||||
\(622\) | 392.572 | 0.631145 | ||||||||
\(623\) | −159.005 | + | 572.702i | −0.255225 | + | 0.919265i | ||||
\(624\) | −449.211 | − | 363.782i | −0.719889 | − | 0.582984i | ||||
\(625\) | −12.5000 | − | 21.6506i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 552.593 | + | 319.040i | 0.882736 | + | 0.509648i | ||||
\(627\) | 26.6274 | + | 69.3720i | 0.0424680 | + | 0.110641i | ||||
\(628\) | −103.479 | − | 179.230i | −0.164775 | − | 0.285398i | ||||
\(629\) | − | 382.039i | − | 0.607375i | ||||||
\(630\) | −354.761 | − | 234.986i | −0.563112 | − | 0.372994i | ||||
\(631\) | 685.963 | 1.08710 | 0.543552 | − | 0.839375i | \(-0.317079\pi\) | ||||
0.543552 | + | 0.839375i | \(0.317079\pi\) | |||||||
\(632\) | −183.997 | + | 106.231i | −0.291134 | + | 0.168087i | ||||
\(633\) | −490.086 | + | 188.112i | −0.774228 | + | 0.297176i | ||||
\(634\) | 701.459 | − | 1214.96i | 1.10640 | − | 1.91634i | ||||
\(635\) | 71.2920 | − | 41.1604i | 0.112271 | − | 0.0648196i | ||||
\(636\) | 35.8055 | − | 44.2139i | 0.0562980 | − | 0.0695187i | ||||
\(637\) | −16.6349 | + | 922.015i | −0.0261145 | + | 1.44743i | ||||
\(638\) | 118.632i | 0.185943i | ||||||||
\(639\) | 4.69235 | + | 5.21191i | 0.00734328 | + | 0.00815635i | ||||
\(640\) | −116.713 | + | 202.152i | −0.182364 | + | 0.315863i | ||||
\(641\) | −420.859 | − | 242.983i | −0.656566 | − | 0.379068i | 0.134401 | − | 0.990927i | \(-0.457089\pi\) |
−0.790967 | + | 0.611858i | \(0.790422\pi\) | |||||||
\(642\) | −70.8502 | + | 447.258i | −0.110359 | + | 0.696664i | ||||
\(643\) | −31.0066 | −0.0482217 | −0.0241109 | − | 0.999709i | \(-0.507675\pi\) | ||||
−0.0241109 | + | 0.999709i | \(0.507675\pi\) | |||||||
\(644\) | 475.979 | + | 484.644i | 0.739097 | + | 0.752552i | ||||
\(645\) | −244.588 | + | 302.025i | −0.379205 | + | 0.468256i | ||||
\(646\) | −583.034 | − | 1009.84i | −0.902529 | − | 1.56323i | ||||
\(647\) | −160.897 | − | 92.8937i | −0.248681 | − | 0.143576i | 0.370479 | − | 0.928841i | \(-0.379193\pi\) |
−0.619160 | + | 0.785265i | \(0.712527\pi\) | |||||||
\(648\) | −273.599 | − | 28.7840i | −0.422221 | − | 0.0444198i | ||||
\(649\) | 15.8687 | + | 27.4853i | 0.0244510 | + | 0.0423503i | ||||
\(650\) | 284.239i | 0.437292i | ||||||||
\(651\) | −357.825 | − | 501.990i | −0.549654 | − | 0.771106i | ||||
\(652\) | 1026.04 | 1.57368 | ||||||||
\(653\) | −788.464 | + | 455.220i | −1.20745 | + | 0.697121i | −0.962201 | − | 0.272340i | \(-0.912202\pi\) |
−0.245247 | + | 0.969461i | \(0.578869\pi\) | |||||||
\(654\) | 664.039 | + | 1730.01i | 1.01535 | + | 2.64528i | ||||
\(655\) | 195.285 | − | 338.244i | 0.298146 | − | 0.516403i | ||||
\(656\) | −518.121 | + | 299.137i | −0.789818 | + | 0.456002i | ||||
\(657\) | −16.2881 | − | 76.6482i | −0.0247916 | − | 0.116664i | ||||
\(658\) | −251.316 | − | 972.942i | −0.381938 | − | 1.47864i | ||||
\(659\) | 174.971i | 0.265509i | 0.991149 | + | 0.132755i | \(0.0423822\pi\) | ||||
−0.991149 | + | 0.132755i | \(0.957618\pi\) | |||||||
\(660\) | 6.60871 | − | 41.7190i | 0.0100132 | − | 0.0632106i | ||||
\(661\) | −70.4654 | + | 122.050i | −0.106604 | + | 0.184644i | −0.914392 | − | 0.404829i | \(-0.867331\pi\) |
0.807788 | + | 0.589473i | \(0.200664\pi\) | |||||||
\(662\) | −1503.33 | − | 867.947i | −2.27089 | − | 1.31110i | ||||
\(663\) | −1067.91 | − | 169.167i | −1.61072 | − | 0.255154i | ||||
\(664\) | −256.608 | −0.386457 | ||||||||
\(665\) | −305.490 | + | 78.9096i | −0.459384 | + | 0.118661i | ||||
\(666\) | −530.493 | + | 112.732i | −0.796536 | + | 0.169267i | ||||
\(667\) | −302.633 | − | 524.176i | −0.453723 | − | 0.785870i | ||||
\(668\) | −196.238 | − | 113.298i | −0.293769 | − | 0.169608i | ||||
\(669\) | −540.955 | + | 207.638i | −0.808602 | + | 0.310370i | ||||
\(670\) | −144.495 | − | 250.272i | −0.215663 | − | 0.373540i | ||||
\(671\) | 102.961i | 0.153443i | ||||||||
\(672\) | −761.163 | + | 542.567i | −1.13268 | + | 0.807392i | ||||
\(673\) | 115.134 | 0.171076 | 0.0855382 | − | 0.996335i | \(-0.472739\pi\) | ||||
0.0855382 | + | 0.996335i | \(0.472739\pi\) | |||||||
\(674\) | −636.248 | + | 367.338i | −0.943987 | + | 0.545011i | ||||
\(675\) | −73.5178 | − | 113.226i | −0.108915 | − | 0.167742i | ||||
\(676\) | 474.469 | − | 821.805i | 0.701878 | − | 1.21569i | ||||
\(677\) | 579.837 | − | 334.769i | 0.856481 | − | 0.494489i | −0.00635162 | − | 0.999980i | \(-0.502022\pi\) |
0.862832 | + | 0.505491i | \(0.168688\pi\) | |||||||
\(678\) | 895.442 | + | 725.151i | 1.32071 | + | 1.06954i | ||||
\(679\) | −668.741 | + | 656.785i | −0.984891 | + | 0.967282i | ||||
\(680\) | 145.441i | 0.213884i | ||||||||
\(681\) | 890.491 | + | 141.063i | 1.30762 | + | 0.207140i | ||||
\(682\) | 54.4791 | − | 94.3606i | 0.0798814 | − | 0.138359i | ||||
\(683\) | 441.858 | + | 255.107i | 0.646937 | + | 0.373509i | 0.787282 | − | 0.616594i | \(-0.211488\pi\) |
−0.140345 | + | 0.990103i | \(0.544821\pi\) | |||||||
\(684\) | −690.904 | + | 622.030i | −1.01009 | + | 0.909401i | ||||
\(685\) | −578.875 | −0.845073 | ||||||||
\(686\) | 993.161 | + | 295.139i | 1.44776 | + | 0.430231i | ||||
\(687\) | −241.811 | − | 195.825i | −0.351981 | − | 0.285043i | ||||
\(688\) | 296.576 | + | 513.684i | 0.431069 | + | 0.746634i | ||||
\(689\) | −60.3176 | − | 34.8244i | −0.0875438 | − | 0.0505434i | ||||
\(690\) | 137.507 | + | 358.244i | 0.199285 | + | 0.519194i | ||||
\(691\) | 491.747 | + | 851.731i | 0.711646 | + | 1.23261i | 0.964239 | + | 0.265034i | \(0.0853833\pi\) |
−0.252593 | + | 0.967573i | \(0.581283\pi\) | |||||||
\(692\) | − | 700.052i | − | 1.01164i | ||||||
\(693\) | 42.7487 | − | 64.5380i | 0.0616864 | − | 0.0931285i | ||||
\(694\) | 915.039 | 1.31850 | ||||||||
\(695\) | 415.735 | − | 240.025i | 0.598180 | − | 0.345359i | ||||
\(696\) | −304.038 | + | 116.701i | −0.436836 | + | 0.167673i | ||||
\(697\) | −559.538 | + | 969.148i | −0.802780 | + | 1.39046i | ||||
\(698\) | 238.081 | − | 137.456i | 0.341091 | − | 0.196929i | ||||
\(699\) | −163.135 | + | 201.445i | −0.233383 | + | 0.288190i | ||||
\(700\) | 172.817 | + | 47.9809i | 0.246881 | + | 0.0685441i | ||||
\(701\) | − | 996.536i | − | 1.42159i | −0.703398 | − | 0.710796i | \(-0.748335\pi\) | ||
0.703398 | − | 0.710796i | \(-0.251665\pi\) | |||||||
\(702\) | 80.2153 | + | 1532.80i | 0.114267 | + | 2.18347i | ||||
\(703\) | −201.065 | + | 348.254i | −0.286010 | + | 0.495383i | ||||
\(704\) | −99.4990 | − | 57.4458i | −0.141334 | − | 0.0815991i | ||||
\(705\) | 49.8792 | − | 314.874i | 0.0707507 | − | 0.446630i | ||||
\(706\) | −670.285 | −0.949413 | ||||||||
\(707\) | −721.680 | + | 186.413i | −1.02076 | + | 0.263668i | ||||
\(708\) | −249.892 | + | 308.575i | −0.352954 | + | 0.435840i | ||||
\(709\) | −326.743 | − | 565.936i | −0.460851 | − | 0.798217i | 0.538153 | − | 0.842847i | \(-0.319122\pi\) |
−0.999004 | + | 0.0446304i | \(0.985789\pi\) | |||||||
\(710\) | −4.55805 | − | 2.63159i | −0.00641979 | − | 0.00370647i | ||||
\(711\) | −535.429 | − | 174.001i | −0.753065 | − | 0.244727i | ||||
\(712\) | −144.193 | − | 249.750i | −0.202519 | − | 0.350773i | ||||
\(713\) | 555.912i | 0.779680i | ||||||||
\(714\) | −504.119 | + | 1105.26i | −0.706049 | + | 1.54798i | ||||
\(715\) | −51.7088 | −0.0723200 | ||||||||
\(716\) | −792.048 | + | 457.289i | −1.10621 | + | 0.638672i | ||||
\(717\) | −18.4908 | − | 48.1737i | −0.0257891 | − | 0.0671878i | ||||
\(718\) | −836.669 | + | 1449.15i | −1.16528 | + | 2.01832i | ||||
\(719\) | 465.382 | − | 268.688i | 0.647262 | − | 0.373697i | −0.140144 | − | 0.990131i | \(-0.544757\pi\) |
0.787407 | + | 0.616434i | \(0.211423\pi\) | |||||||
\(720\) | −201.539 | + | 42.8279i | −0.279915 | + | 0.0594832i | ||||
\(721\) | −442.746 | − | 122.924i | −0.614072 | − | 0.170491i | ||||
\(722\) | 136.929i | 0.189653i | ||||||||
\(723\) | 66.0863 | − | 417.185i | 0.0914057 | − | 0.577020i | ||||
\(724\) | 919.901 | − | 1593.32i | 1.27058 | − | 2.20071i | ||||
\(725\) | −138.399 | − | 79.9045i | −0.190895 | − | 0.110213i | ||||
\(726\) | −1069.48 | − | 169.417i | −1.47312 | − | 0.233356i | ||||
\(727\) | 871.976 | 1.19942 | 0.599708 | − | 0.800219i | \(-0.295283\pi\) | ||||
0.599708 | + | 0.800219i | \(0.295283\pi\) | |||||||
\(728\) | −313.518 | − | 319.225i | −0.430656 | − | 0.438496i | ||||
\(729\) | −428.407 | − | 589.838i | −0.587664 | − | 0.809105i | ||||
\(730\) | 29.4041 | + | 50.9293i | 0.0402795 | + | 0.0697662i | ||||
\(731\) | 960.849 | + | 554.747i | 1.31443 | + | 0.758887i | ||||
\(732\) | −1202.60 | + | 461.602i | −1.64290 | + | 0.630604i | ||||
\(733\) | −351.349 | − | 608.555i | −0.479330 | − | 0.830224i | 0.520389 | − | 0.853930i | \(-0.325787\pi\) |
−0.999719 | + | 0.0237050i | \(0.992454\pi\) | |||||||
\(734\) | − | 1289.28i | − | 1.75651i | ||||||
\(735\) | 251.671 | + | 211.440i | 0.342410 | + | 0.287673i | ||||
\(736\) | 842.925 | 1.14528 | ||||||||
\(737\) | 45.5294 | − | 26.2864i | 0.0617767 | − | 0.0356668i | ||||
\(738\) | 1510.85 | + | 490.988i | 2.04722 | + | 0.665296i | ||||
\(739\) | 99.5025 | − | 172.343i | 0.134645 | − | 0.233212i | −0.790817 | − | 0.612053i | \(-0.790344\pi\) |
0.925462 | + | 0.378841i | \(0.123677\pi\) | |||||||
\(740\) | 197.963 | − | 114.294i | 0.267518 | − | 0.154451i | ||||
\(741\) | 884.438 | + | 716.240i | 1.19357 | + | 0.966586i | ||||
\(742\) | −55.8301 | + | 54.8319i | −0.0752427 | + | 0.0738975i | ||||
\(743\) | 845.338i | 1.13774i | 0.822429 | + | 0.568868i | \(0.192619\pi\) | ||||
−0.822429 | + | 0.568868i | \(0.807381\pi\) | |||||||
\(744\) | 295.427 | + | 46.7986i | 0.397079 | + | 0.0629013i | ||||
\(745\) | −144.409 | + | 250.123i | −0.193837 | + | 0.335736i | ||||
\(746\) | 89.2254 | + | 51.5143i | 0.119605 | + | 0.0690540i | ||||
\(747\) | −454.967 | − | 505.342i | −0.609058 | − | 0.676496i | ||||
\(748\) | −120.584 | −0.161209 | ||||||||
\(749\) | 93.5778 | − | 337.047i | 0.124937 | − | 0.449995i | ||||
\(750\) | 78.7358 | + | 63.7622i | 0.104981 | + | 0.0850163i | ||||
\(751\) | 183.645 | + | 318.083i | 0.244534 | + | 0.423545i | 0.962000 | − | 0.273048i | \(-0.0880317\pi\) |
−0.717467 | + | 0.696593i | \(0.754698\pi\) | |||||||
\(752\) | −421.372 | − | 243.279i | −0.560335 | − | 0.323510i | ||||
\(753\) | −216.225 | − | 563.328i | −0.287152 | − | 0.748112i | ||||
\(754\) | 908.481 | + | 1573.53i | 1.20488 | + | 2.08692i | ||||
\(755\) | − | 355.046i | − | 0.470259i | ||||||
\(756\) | 945.475 | + | 209.972i | 1.25063 | + | 0.277741i | ||||
\(757\) | 883.400 | 1.16697 | 0.583487 | − | 0.812122i | \(-0.301688\pi\) | ||||
0.583487 | + | 0.812122i | \(0.301688\pi\) | |||||||
\(758\) | −958.562 | + | 553.426i | −1.26459 | + | 0.730113i | ||||
\(759\) | −65.1717 | + | 25.0152i | −0.0858653 | + | 0.0329581i | ||||
\(760\) | 76.5446 | − | 132.579i | 0.100717 | − | 0.174446i | ||||
\(761\) | 401.326 | − | 231.706i | 0.527367 | − | 0.304475i | −0.212577 | − | 0.977144i | \(-0.568186\pi\) |
0.739944 | + | 0.672669i | \(0.234852\pi\) | |||||||
\(762\) | −209.958 | + | 259.264i | −0.275536 | + | 0.340241i | ||||
\(763\) | −357.993 | − | 1385.93i | −0.469191 | − | 1.81643i | ||||
\(764\) | − | 269.740i | − | 0.353063i | ||||||
\(765\) | −286.419 | + | 257.867i | −0.374404 | + | 0.337081i | ||||
\(766\) | 47.3068 | − | 81.9378i | 0.0617582 | − | 0.106968i | ||||
\(767\) | 420.965 | + | 243.044i | 0.548847 | + | 0.316877i | ||||
\(768\) | −27.5421 | + | 173.866i | −0.0358621 | + | 0.226388i | ||||
\(769\) | 155.244 | 0.201878 | 0.100939 | − | 0.994893i | \(-0.467815\pi\) | ||||
0.100939 | + | 0.994893i | \(0.467815\pi\) | |||||||
\(770\) | −15.5421 | + | 55.9793i | −0.0201846 | + | 0.0727004i | ||||
\(771\) | −524.029 | + | 647.089i | −0.679674 | + | 0.839285i | ||||
\(772\) | 178.186 | + | 308.627i | 0.230810 | + | 0.399775i | ||||
\(773\) | 183.155 | + | 105.744i | 0.236940 | + | 0.136797i | 0.613770 | − | 0.789485i | \(-0.289652\pi\) |
−0.376829 | + | 0.926283i | \(0.622986\pi\) | |||||||
\(774\) | 486.784 | − | 1497.91i | 0.628920 | − | 1.93529i | ||||
\(775\) | 73.3890 | + | 127.113i | 0.0946955 | + | 0.164017i | ||||
\(776\) | − | 454.792i | − | 0.586072i | ||||||
\(777\) | 417.018 | − | 40.0203i | 0.536703 | − | 0.0515062i | ||||
\(778\) | −335.429 | −0.431142 | ||||||||
\(779\) | 1020.11 | − | 588.962i | 1.30952 | − | 0.756049i | ||||
\(780\) | −231.826 | − | 603.972i | −0.297213 | − | 0.774323i | ||||
\(781\) | 0.478739 | − | 0.829200i | 0.000612982 | − | 0.00106172i | ||||
\(782\) | 948.701 | − | 547.733i | 1.21317 | − | 0.700425i | ||||
\(783\) | −768.881 | − | 391.837i | −0.981968 | − | 0.500431i | ||||
\(784\) | 438.914 | − | 242.957i | 0.559839 | − | 0.309895i | ||||
\(785\) | 90.3074i | 0.115041i | ||||||||
\(786\) | −247.650 | + | 1563.35i | −0.315077 | + | 1.98899i | ||||
\(787\) | −408.088 | + | 706.830i | −0.518537 | + | 0.898132i | 0.481232 | + | 0.876594i | \(0.340190\pi\) |
−0.999768 | + | 0.0215380i | \(0.993144\pi\) | |||||||
\(788\) | 234.722 | + | 135.517i | 0.297871 | + | 0.171976i | ||||
\(789\) | −406.958 | − | 64.4662i | −0.515790 | − | 0.0817063i | ||||
\(790\) | 422.520 | 0.534836 | ||||||||
\(791\) | −623.664 | − | 635.017i | −0.788450 | − | 0.802803i | ||||
\(792\) | 7.80740 | + | 36.7399i | 0.00985782 | + | 0.0463888i | ||||
\(793\) | 788.471 | + | 1365.67i | 0.994289 | + | 1.72216i | ||||
\(794\) | −1009.48 | − | 582.823i | −1.27138 | − | 0.734034i | ||||
\(795\) | −23.1773 | + | 8.89628i | −0.0291539 | + | 0.0111903i | ||||
\(796\) | −142.183 | − | 246.268i | −0.178622 | − | 0.309382i | ||||
\(797\) | 672.600i | 0.843915i | 0.906616 | + | 0.421957i | \(0.138657\pi\) | ||||
−0.906616 | + | 0.421957i | \(0.861343\pi\) | |||||||
\(798\) | 1041.23 | − | 742.201i | 1.30480 | − | 0.930076i | ||||
\(799\) | −910.111 | −1.13906 | ||||||||
\(800\) | 192.741 | − | 111.279i | 0.240927 | − | 0.139099i | ||||
\(801\) | 236.182 | − | 726.771i | 0.294859 | − | 0.907329i | ||||
\(802\) | 552.348 | − | 956.694i | 0.688713 | − | 1.19289i | ||||
\(803\) | −9.26506 | + | 5.34919i | −0.0115381 | + | 0.00666150i | ||||
\(804\) | 511.154 | + | 413.946i | 0.635764 | + | 0.514858i | ||||
\(805\) | −74.1318 | − | 286.994i | −0.0920892 | − | 0.356514i | ||||
\(806\) | − | 1668.80i | − | 2.07048i | ||||||
\(807\) | 536.244 | + | 84.9464i | 0.664491 | + | 0.105262i | ||||
\(808\) | 180.826 | − | 313.200i | 0.223795 | − | 0.387624i | ||||
\(809\) | 306.112 | + | 176.734i | 0.378383 | + | 0.218459i | 0.677114 | − | 0.735878i | \(-0.263230\pi\) |
−0.298732 | + | 0.954337i | \(0.596564\pi\) | |||||||
\(810\) | 442.586 | + | 321.625i | 0.546403 | + | 0.397068i | ||||
\(811\) | −688.441 | −0.848879 | −0.424439 | − | 0.905456i | \(-0.639529\pi\) | ||||
−0.424439 | + | 0.905456i | \(0.639529\pi\) | |||||||
\(812\) | 1110.06 | − | 286.733i | 1.36707 | − | 0.353120i | ||||
\(813\) | −53.7993 | − | 43.5680i | −0.0661738 | − | 0.0535892i | ||||
\(814\) | 37.0225 | + | 64.1248i | 0.0454822 | + | 0.0787774i | ||||
\(815\) | −387.736 | − | 223.860i | −0.475750 | − | 0.274675i | ||||
\(816\) | 210.779 | + | 549.138i | 0.258307 | + | 0.672963i | ||||
\(817\) | −583.919 | − | 1011.38i | −0.714711 | − | 1.23792i | ||||
\(818\) | − | 229.200i | − | 0.280196i | ||||||
\(819\) | 72.7878 | − | 1183.40i | 0.0888740 | − | 1.44494i | ||||
\(820\) | −669.584 | −0.816566 | ||||||||
\(821\) | −318.503 | + | 183.888i | −0.387946 | + | 0.223980i | −0.681270 | − | 0.732033i | \(-0.738572\pi\) |
0.293324 | + | 0.956013i | \(0.405239\pi\) | |||||||
\(822\) | 2190.18 | − | 840.667i | 2.66445 | − | 1.02271i | ||||
\(823\) | −331.800 | + | 574.695i | −0.403160 | + | 0.698293i | −0.994105 | − | 0.108418i | \(-0.965421\pi\) |
0.590946 | + | 0.806711i | \(0.298755\pi\) | |||||||
\(824\) | 193.077 | − | 111.473i | 0.234317 | − | 0.135283i | ||||
\(825\) | −11.5996 | + | 14.3236i | −0.0140601 | + | 0.0173619i | ||||
\(826\) | 389.646 | − | 382.680i | 0.471727 | − | 0.463293i | ||||
\(827\) | − | 567.993i | − | 0.686812i | −0.939187 | − | 0.343406i | \(-0.888419\pi\) | ||
0.939187 | − | 0.343406i | \(-0.111581\pi\) | |||||||
\(828\) | −584.368 | − | 649.072i | −0.705759 | − | 0.783903i | ||||
\(829\) | −233.274 | + | 404.043i | −0.281393 | + | 0.487386i | −0.971728 | − | 0.236103i | \(-0.924130\pi\) |
0.690335 | + | 0.723490i | \(0.257463\pi\) | |||||||
\(830\) | 441.945 | + | 255.157i | 0.532463 | + | 0.307418i | ||||
\(831\) | −54.9394 | + | 346.817i | −0.0661123 | + | 0.417349i | ||||
\(832\) | −1759.68 | −2.11500 | ||||||||
\(833\) | 483.772 | − | 804.063i | 0.580759 | − | 0.965262i | ||||
\(834\) | −1224.36 | + | 1511.88i | −1.46806 | + | 1.81281i | ||||
\(835\) | 49.4385 | + | 85.6299i | 0.0592077 | + | 0.102551i | ||||
\(836\) | 109.921 | + | 63.4628i | 0.131484 | + | 0.0759125i | ||||
\(837\) | 431.632 | + | 664.764i | 0.515689 | + | 0.794222i | ||||
\(838\) | 595.405 | + | 1031.27i | 0.710507 | + | 1.23063i | ||||
\(839\) | − | 298.963i | − | 0.356333i | −0.984000 | − | 0.178167i | \(-0.942983\pi\) | ||
0.984000 | − | 0.178167i | \(-0.0570166\pi\) | |||||||
\(840\) | −158.757 | + | 15.2356i | −0.188997 | + | 0.0181376i | ||||
\(841\) | −180.557 | −0.214693 | ||||||||
\(842\) | 133.091 | − | 76.8404i | 0.158066 | − | 0.0912594i | ||||
\(843\) | −586.399 | − | 1527.74i | −0.695609 | − | 1.81226i | ||||
\(844\) | −448.340 | + | 776.548i | −0.531209 | + | 0.920081i | ||||
\(845\) | −358.601 | + | 207.038i | −0.424380 | + | 0.245016i | ||||
\(846\) | 268.555 | + | 1263.76i | 0.317441 | + | 1.49381i | ||||
\(847\) | 805.945 | + | 223.763i | 0.951529 | + | 0.264183i | ||||
\(848\) | 37.8899i | 0.0446815i | ||||||||
\(849\) | 15.3073 | − | 96.6309i | 0.0180298 | − | 0.113817i | ||||
\(850\) | 144.618 | − | 250.486i | 0.170139 | − | 0.294690i | ||||
\(851\) | −327.169 | − | 188.891i | −0.384452 | − | 0.221963i | ||||
\(852\) | 11.8316 | + | 1.87424i | 0.0138868 | + | 0.00219982i | ||||
\(853\) | 1374.39 | 1.61125 | 0.805624 | − | 0.592427i | \(-0.201830\pi\) | ||||
0.805624 | + | 0.592427i | \(0.201830\pi\) | |||||||
\(854\) | 1715.45 | − | 443.109i | 2.00872 | − | 0.518863i | ||||
\(855\) | 396.804 | − | 84.3227i | 0.464099 | − | 0.0986230i | ||||
\(856\) | 84.8606 | + | 146.983i | 0.0991363 | + | 0.171709i | ||||
\(857\) | 556.639 | + | 321.375i | 0.649520 | + | 0.375001i | 0.788272 | − | 0.615327i | \(-0.210976\pi\) |
−0.138752 | + | 0.990327i | \(0.544309\pi\) | |||||||
\(858\) | 195.641 | − | 75.0938i | 0.228019 | − | 0.0875219i | ||||
\(859\) | −609.319 | − | 1055.37i | −0.709335 | − | 1.22860i | −0.965104 | − | 0.261866i | \(-0.915662\pi\) |
0.255770 | − | 0.966738i | \(-0.417671\pi\) | |||||||
\(860\) | 663.850i | 0.771919i | ||||||||
\(861\) | −1116.49 | − | 509.245i | −1.29674 | − | 0.591458i | ||||
\(862\) | −1578.97 | −1.83176 | ||||||||
\(863\) | −1132.65 | + | 653.933i | −1.31245 | + | 0.757744i | −0.982502 | − | 0.186254i | \(-0.940365\pi\) |
−0.329950 | + | 0.943998i | \(0.607032\pi\) | |||||||
\(864\) | 1007.98 | − | 654.480i | 1.16664 | − | 0.757500i | ||||
\(865\) | −152.736 | + | 264.547i | −0.176574 | + | 0.305835i | ||||
\(866\) | −1198.72 | + | 692.079i | −1.38420 | + | 0.799168i | ||||
\(867\) | 181.252 | + | 146.783i | 0.209057 | + | 0.169300i | ||||
\(868\) | −1014.63 | − | 281.702i | −1.16893 | − | 0.324541i | ||||
\(869\) | 76.8648i | 0.0884521i | ||||||||
\(870\) | 639.672 | + | 101.331i | 0.735256 | + | 0.116472i | ||||
\(871\) | 402.603 | − | 697.329i | 0.462231 | − | 0.800607i | ||||
\(872\) | 601.478 | + | 347.264i | 0.689769 | + | 0.398238i | ||||
\(873\) | 895.629 | − | 806.347i | 1.02592 | − | 0.923651i | ||||
\(874\) | −1153.07 | −1.31931 | ||||||||
\(875\) | −54.8385 | − | 55.8368i | −0.0626725 | − | 0.0638134i | ||||
\(876\) | −104.018 | − | 84.2363i | −0.118742 | − | 0.0961602i | ||||
\(877\) | −663.573 | − | 1149.34i | −0.756640 | − | 1.31054i | −0.944555 | − | 0.328353i | \(-0.893506\pi\) |
0.187916 | − | 0.982185i | \(-0.439827\pi\) | |||||||
\(878\) | 129.909 | + | 75.0031i | 0.147960 | + | 0.0854250i | ||||
\(879\) | −193.913 | − | 505.200i | −0.220607 | − | 0.574744i | ||||
\(880\) | 14.0652 | + | 24.3616i | 0.0159831 | + | 0.0276836i | ||||
\(881\) | − | 524.179i | − | 0.594981i | −0.954725 | − | 0.297491i | \(-0.903850\pi\) | ||
0.954725 | − | 0.297491i | \(-0.0961497\pi\) | |||||||
\(882\) | −1259.26 | − | 434.495i | −1.42773 | − | 0.492624i | ||||
\(883\) | 478.153 | 0.541510 | 0.270755 | − | 0.962648i | \(-0.412727\pi\) | ||||
0.270755 | + | 0.962648i | \(0.412727\pi\) | |||||||
\(884\) | −1599.44 | + | 923.435i | −1.80932 | + | 1.04461i | ||||
\(885\) | 161.758 | − | 62.0884i | 0.182777 | − | 0.0701564i | ||||
\(886\) | −687.244 | + | 1190.34i | −0.775670 | + | 1.34350i | ||||
\(887\) | −196.670 | + | 113.547i | −0.221725 | + | 0.128013i | −0.606749 | − | 0.794894i | \(-0.707527\pi\) |
0.385024 | + | 0.922907i | \(0.374193\pi\) | |||||||
\(888\) | −127.924 | + | 157.965i | −0.144059 | + | 0.177889i | ||||
\(889\) | 183.861 | − | 180.574i | 0.206818 | − | 0.203120i | ||||
\(890\) | 573.512i | 0.644396i | ||||||||
\(891\) | −58.5101 | + | 80.5153i | −0.0656679 | + | 0.0903651i | ||||
\(892\) | −494.876 | + | 857.150i | −0.554793 | + | 0.960930i | ||||
\(893\) | 829.627 | + | 478.986i | 0.929034 | + | 0.536378i | ||||
\(894\) | 183.131 | − | 1156.06i | 0.204845 | − | 1.29313i | ||||
\(895\) | 399.083 | 0.445903 | ||||||||
\(896\) | −195.488 | + | 704.104i | −0.218178 | + | 0.785830i | ||||
\(897\) | −672.874 | + | 830.888i | −0.750138 | + | 0.926296i | ||||
\(898\) | −1024.18 | − | 1773.93i | −1.14051 | − | 1.97543i | ||||
\(899\) | 812.555 | + | 469.129i | 0.903843 | + | 0.521834i | ||||
\(900\) | −219.308 | − | 71.2695i | −0.243675 | − | 0.0791884i | ||||
\(901\) | 35.4367 | + | 61.3781i | 0.0393304 | + | 0.0681222i | ||||
\(902\) | − | 216.894i | − | 0.240459i | ||||||
\(903\) | −504.885 | + | 1106.93i | −0.559119 | + | 1.22584i | ||||
\(904\) | 431.857 | 0.477718 | ||||||||
\(905\) | −695.255 | + | 401.406i | −0.768238 | + | 0.443542i | ||||
\(906\) | 515.613 | + | 1343.32i | 0.569109 | + | 1.48269i | ||||
\(907\) | −125.121 | + | 216.716i | −0.137950 | + | 0.238937i | −0.926721 | − | 0.375751i | \(-0.877385\pi\) |
0.788770 | + | 0.614688i | \(0.210718\pi\) | |||||||
\(908\) | 1333.71 | − | 770.020i | 1.46885 | − | 0.848040i | ||||
\(909\) | 937.397 | − | 199.201i | 1.03124 | − | 0.219143i | ||||
\(910\) | 222.538 | + | 861.533i | 0.244547 | + | 0.946740i | ||||
\(911\) | 343.849i | 0.377441i | 0.982031 | + | 0.188721i | \(0.0604341\pi\) | ||||
−0.982031 | + | 0.188721i | \(0.939566\pi\) | |||||||
\(912\) | 96.8690 | − | 611.508i | 0.106216 | − | 0.670513i | ||||
\(913\) | −46.4181 | + | 80.3985i | −0.0508413 | + | 0.0880597i | ||||
\(914\) | −1211.25 | − | 699.315i | −1.32522 | − | 0.765115i | ||||
\(915\) | 555.172 | + | 87.9449i | 0.606746 | + | 0.0961146i | ||||
\(916\) | −531.500 | −0.580240 | ||||||||
\(917\) | 327.093 | − | 1178.12i | 0.356699 | − | 1.28475i | ||||
\(918\) | 709.183 | − | 1391.59i | 0.772530 | − | 1.51589i | ||||
\(919\) | 703.163 | + | 1217.91i | 0.765139 | + | 1.32526i | 0.940173 | + | 0.340698i | \(0.110663\pi\) |
−0.175033 | + | 0.984562i | \(0.556003\pi\) | |||||||
\(920\) | 124.552 | + | 71.9100i | 0.135382 | + | 0.0781631i | ||||
\(921\) | −1109.12 | + | 425.719i | −1.20425 | + | 0.462236i | ||||
\(922\) | 1157.68 | + | 2005.15i | 1.25561 | + | 2.17479i | ||||
\(923\) | − | 14.6647i | − | 0.0158881i | ||||||
\(924\) | −12.6318 | − | 131.625i | −0.0136707 | − | 0.142451i | ||||
\(925\) | −99.7462 | −0.107834 | ||||||||
\(926\) | 268.782 | − | 155.181i | 0.290261 | − | 0.167583i | ||||
\(927\) | 561.854 | + | 182.588i | 0.606099 | + | 0.196967i | ||||
\(928\) | 711.337 | − | 1232.07i | 0.766527 | − | 1.32766i | ||||
\(929\) | −435.550 | + | 251.465i | −0.468837 | + | 0.270683i | −0.715753 | − | 0.698354i | \(-0.753916\pi\) |
0.246916 | + | 0.969037i | \(0.420583\pi\) | |||||||
\(930\) | −462.267 | − | 374.356i | −0.497061 | − | 0.402533i | ||||
\(931\) | −864.164 | + | 478.352i | −0.928211 | + | 0.513804i | ||||
\(932\) | 442.775i | 0.475080i | ||||||||
\(933\) | 385.085 | + | 61.0014i | 0.412739 | + | 0.0653820i | ||||
\(934\) | 983.124 | − | 1702.82i | 1.05260 | − | 1.82315i | ||||
\(935\) | 45.5685 | + | 26.3090i | 0.0487363 | + | 0.0281379i | ||||
\(936\) | 384.912 | + | 427.531i | 0.411231 | + | 0.456764i | ||||
\(937\) | −150.455 | −0.160571 | −0.0802854 | − | 0.996772i | \(-0.525583\pi\) | ||||
−0.0802854 | + | 0.996772i | \(0.525583\pi\) | |||||||
\(938\) | −633.909 | − | 645.449i | −0.675809 | − | 0.688112i | ||||
\(939\) | 492.479 | + | 398.822i | 0.524472 | + | 0.424731i | ||||
\(940\) | −272.276 | − | 471.596i | −0.289656 | − | 0.501698i | ||||
\(941\) | −310.027 | − | 178.994i | −0.329466 | − | 0.190217i | 0.326138 | − | 0.945322i | \(-0.394252\pi\) |
−0.655604 | + | 0.755105i | \(0.727586\pi\) | |||||||
\(942\) | −131.148 | − | 341.678i | −0.139223 | − | 0.362716i | ||||
\(943\) | 553.302 | + | 958.348i | 0.586747 | + | 1.01628i | ||||
\(944\) | − | 264.439i | − | 0.280126i | ||||||
\(945\) | −311.481 | − | 285.631i | −0.329609 | − | 0.302255i | ||||
\(946\) | −215.036 | −0.227311 | ||||||||
\(947\) | 332.824 | − | 192.156i | 0.351451 | − | 0.202910i | −0.313873 | − | 0.949465i | \(-0.601627\pi\) |
0.665324 | + | 0.746555i | \(0.268293\pi\) | |||||||
\(948\) | −897.801 | + | 344.608i | −0.947047 | + | 0.363510i | ||||
\(949\) | −81.9281 | + | 141.904i | −0.0863310 | + | 0.149530i | ||||
\(950\) | −263.659 | + | 152.224i | −0.277536 | + | 0.160235i | ||||
\(951\) | 876.873 | − | 1082.79i | 0.922054 | − | 1.13858i | ||||
\(952\) | 113.869 | + | 440.833i | 0.119610 | + | 0.463060i | ||||
\(953\) | 1203.45i | 1.26281i | 0.775455 | + | 0.631403i | \(0.217521\pi\) | ||||
−0.775455 | + | 0.631403i | \(0.782479\pi\) | |||||||
\(954\) | 74.7720 | − | 67.3182i | 0.0783773 | − | 0.0705642i | ||||
\(955\) | −58.8516 | + | 101.934i | −0.0616247 | + | 0.106737i | ||||
\(956\) | −76.3318 | − | 44.0702i | −0.0798450 | − | 0.0460985i | ||||
\(957\) | −18.4340 | + | 116.369i | −0.0192623 | + | 0.121598i | ||||
\(958\) | −1022.68 | −1.06751 | ||||||||
\(959\) | −1754.58 | + | 453.215i | −1.82959 | + | 0.472592i | ||||
\(960\) | −394.741 | + | 487.440i | −0.411189 | + | 0.507750i | ||||
\(961\) | 49.6243 | + | 85.9519i | 0.0516382 | + | 0.0894400i | ||||
\(962\) | 982.135 | + | 567.036i | 1.02093 | + | 0.589434i | ||||
\(963\) | −138.998 | + | 427.719i | −0.144338 | + | 0.444153i | ||||
\(964\) | −360.746 | − | 624.831i | −0.374218 | − | 0.648165i | ||||
\(965\) | − | 155.505i | − | 0.161145i | ||||||
\(966\) | 697.263 | + | 978.185i | 0.721804 | + | 1.01261i | ||||
\(967\) | −655.726 | −0.678103 | −0.339052 | − | 0.940768i | \(-0.610106\pi\) | ||||
−0.339052 | + | 0.940768i | \(0.610106\pi\) | |||||||
\(968\) | −351.465 | + | 202.919i | −0.363084 | + | 0.209627i | ||||
\(969\) | −414.996 | − | 1081.18i | −0.428272 | − | 1.11577i | ||||
\(970\) | −452.220 | + | 783.268i | −0.466206 | + | 0.807493i | ||||
\(971\) | 511.998 | − | 295.602i | 0.527289 | − | 0.304431i | −0.212623 | − | 0.977134i | \(-0.568201\pi\) |
0.739912 | + | 0.672704i | \(0.234867\pi\) | |||||||
\(972\) | −1202.76 | − | 322.439i | −1.23740 | − | 0.331727i | ||||
\(973\) | 1072.18 | − | 1053.01i | 1.10193 | − | 1.08223i | ||||
\(974\) | 654.046i | 0.671505i | ||||||||
\(975\) | −44.1677 | + | 278.819i | −0.0453002 | + | 0.285968i | ||||
\(976\) | 428.940 | − | 742.945i | 0.439487 | − | 0.761214i | ||||
\(977\) | 386.607 | + | 223.208i | 0.395709 | + | 0.228463i | 0.684631 | − | 0.728890i | \(-0.259963\pi\) |
−0.288922 | + | 0.957353i | \(0.593297\pi\) | |||||||
\(978\) | 1792.10 | + | 283.887i | 1.83241 | + | 0.290273i | ||||
\(979\) | −104.333 | −0.106571 | ||||||||
\(980\) | 561.375 | + | 10.1283i | 0.572831 | + | 0.0103350i | ||||
\(981\) | 382.551 | + | 1800.20i | 0.389960 | + | 1.83507i | ||||
\(982\) | 987.209 | + | 1709.90i | 1.00530 | + | 1.74124i | ||||
\(983\) | −609.471 | − | 351.879i | −0.620012 | − | 0.357964i | 0.156862 | − | 0.987621i | \(-0.449862\pi\) |
−0.776874 | + | 0.629657i | \(0.783196\pi\) | |||||||
\(984\) | 555.871 | − | 213.363i | 0.564910 | − | 0.216832i | ||||
\(985\) | −59.1339 | − | 102.423i | −0.0600344 | − | 0.103983i | ||||
\(986\) | − | 1848.91i | − | 1.87516i | ||||||
\(987\) | −95.3381 | − | 993.439i | −0.0965939 | − | 1.00652i | ||||
\(988\) | 1943.99 | 1.96760 | ||||||||
\(989\) | 950.142 | − | 548.565i | 0.960710 | − | 0.554666i | ||||
\(990\) | 23.0858 | − | 71.0389i | 0.0233190 | − | 0.0717564i | ||||
\(991\) | 916.773 | − | 1587.90i | 0.925099 | − | 1.60232i | 0.133697 | − | 0.991022i | \(-0.457315\pi\) |
0.791402 | − | 0.611296i | \(-0.209351\pi\) | |||||||
\(992\) | −1131.61 | + | 653.334i | −1.14073 | + | 0.658602i | ||||
\(993\) | −1339.79 | − | 1084.99i | −1.34923 | − | 1.09264i | ||||
\(994\) | −15.8758 | − | 4.40777i | −0.0159717 | − | 0.00443438i | ||||
\(995\) | 124.085i | 0.124709i | ||||||||
\(996\) | −1147.18 | − | 181.725i | −1.15179 | − | 0.182455i | ||||
\(997\) | −491.676 | + | 851.607i | −0.493155 | + | 0.854170i | −0.999969 | − | 0.00788591i | \(-0.997490\pi\) |
0.506814 | + | 0.862056i | \(0.330823\pi\) | |||||||
\(998\) | −1087.14 | − | 627.662i | −1.08932 | − | 0.628920i | ||||
\(999\) | −537.893 | + | 28.1494i | −0.538432 | + | 0.0281776i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 105.3.t.b.11.17 | yes | 36 | |
3.2 | odd | 2 | inner | 105.3.t.b.11.2 | ✓ | 36 | |
7.2 | even | 3 | inner | 105.3.t.b.86.2 | yes | 36 | |
21.2 | odd | 6 | inner | 105.3.t.b.86.17 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.t.b.11.2 | ✓ | 36 | 3.2 | odd | 2 | inner | |
105.3.t.b.11.17 | yes | 36 | 1.1 | even | 1 | trivial | |
105.3.t.b.86.2 | yes | 36 | 7.2 | even | 3 | inner | |
105.3.t.b.86.17 | yes | 36 | 21.2 | odd | 6 | inner |