Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [867,2,Mod(688,867)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(867, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("867.688");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 867 = 3 \cdot 17^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 867.h (of order \(8\), degree \(4\), not 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: | \(6.92302985525\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{8})\) |
Coefficient field: | 16.0.1963501163244660295991296.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 1889x^{8} + 65536 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 51) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 757.2 | ||
Root | \(0.980264 + 2.36657i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 867.757 |
Dual form | 867.2.h.j.733.2 |
$q$-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 \(\left(\mathbb{Z}/867\mathbb{Z}\right)^\times\).
\(n\) | \(290\) | \(292\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{8}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.81129 | + | 1.81129i | −1.28078 | + | 1.28078i | −0.340550 | + | 0.940226i | \(0.610613\pi\) |
−0.940226 | + | 0.340550i | \(0.889387\pi\) | |||||||
\(3\) | 0.923880 | + | 0.382683i | 0.533402 | + | 0.220942i | ||||
\(4\) | − | 4.56155i | − | 2.28078i | ||||||
\(5\) | 1.36295 | − | 3.29045i | 0.609529 | − | 1.47153i | −0.253986 | − | 0.967208i | \(-0.581742\pi\) |
0.863514 | − | 0.504324i | \(-0.168258\pi\) | |||||||
\(6\) | −2.36657 | + | 0.980264i | −0.966147 | + | 0.400191i | ||||
\(7\) | 0 | 0 | 0.923880 | − | 0.382683i | \(-0.125000\pi\) | ||||
−0.923880 | + | 0.382683i | \(0.875000\pi\) | |||||||
\(8\) | 4.63972 | + | 4.63972i | 1.64039 | + | 1.64039i | ||||
\(9\) | 0.707107 | + | 0.707107i | 0.235702 | + | 0.235702i | ||||
\(10\) | 3.49126 | + | 8.42865i | 1.10403 | + | 2.66537i | ||||
\(11\) | 1.44269 | − | 0.597580i | 0.434986 | − | 0.180177i | −0.154435 | − | 0.988003i | \(-0.549356\pi\) |
0.589421 | + | 0.807826i | \(0.299356\pi\) | |||||||
\(12\) | 1.74563 | − | 4.21433i | 0.503920 | − | 1.21657i | ||||
\(13\) | 0.438447i | 0.121603i | 0.998150 | + | 0.0608017i | \(0.0193657\pi\) | ||||
−0.998150 | + | 0.0608017i | \(0.980634\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.51840 | − | 2.51840i | 0.650248 | − | 0.650248i | ||||
\(16\) | −7.68466 | −1.92116 | ||||||||
\(17\) | 0 | 0 | ||||||||
\(18\) | −2.56155 | −0.603764 | ||||||||
\(19\) | −3.31255 | + | 3.31255i | −0.759952 | + | 0.759952i | −0.976313 | − | 0.216361i | \(-0.930581\pi\) |
0.216361 | + | 0.976313i | \(0.430581\pi\) | |||||||
\(20\) | −15.0095 | − | 6.21716i | −3.35624 | − | 1.39020i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.53073 | + | 3.69552i | −0.326354 | + | 0.787887i | ||||
\(23\) | 2.25283 | − | 0.933153i | 0.469748 | − | 0.194576i | −0.135236 | − | 0.990813i | \(-0.543179\pi\) |
0.604984 | + | 0.796237i | \(0.293179\pi\) | |||||||
\(24\) | 2.51100 | + | 6.06208i | 0.512555 | + | 1.23742i | ||||
\(25\) | −5.43387 | − | 5.43387i | −1.08677 | − | 1.08677i | ||||
\(26\) | −0.794156 | − | 0.794156i | −0.155747 | − | 0.155747i | ||||
\(27\) | 0.382683 | + | 0.923880i | 0.0736475 | + | 0.177801i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.15569 | − | 7.61851i | 0.585997 | − | 1.41472i | −0.301303 | − | 0.953528i | \(-0.597422\pi\) |
0.887300 | − | 0.461193i | \(-0.152578\pi\) | |||||||
\(30\) | 9.12311i | 1.66564i | ||||||||
\(31\) | 2.88537 | + | 1.19516i | 0.518228 | + | 0.214657i | 0.626439 | − | 0.779471i | \(-0.284512\pi\) |
−0.108210 | + | 0.994128i | \(0.534512\pi\) | |||||||
\(32\) | 4.63972 | − | 4.63972i | 0.820194 | − | 0.820194i | ||||
\(33\) | 1.56155 | 0.271831 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 3.22550 | − | 3.22550i | 0.537584 | − | 0.537584i | ||||
\(37\) | 4.73313 | + | 1.96053i | 0.778122 | + | 0.322309i | 0.736157 | − | 0.676810i | \(-0.236638\pi\) |
0.0419647 | + | 0.999119i | \(0.486638\pi\) | |||||||
\(38\) | − | 12.0000i | − | 1.94666i | ||||||
\(39\) | −0.167786 | + | 0.405072i | −0.0268673 | + | 0.0648635i | ||||
\(40\) | 21.5904 | − | 8.94305i | 3.41375 | − | 1.41402i | ||||
\(41\) | −1.36295 | − | 3.29045i | −0.212857 | − | 0.513881i | 0.781003 | − | 0.624527i | \(-0.214708\pi\) |
−0.993860 | + | 0.110646i | \(0.964708\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.31255 | + | 3.31255i | 0.505160 | + | 0.505160i | 0.913037 | − | 0.407877i | \(-0.133731\pi\) |
−0.407877 | + | 0.913037i | \(0.633731\pi\) | |||||||
\(44\) | −2.72589 | − | 6.58089i | −0.410944 | − | 0.992107i | ||||
\(45\) | 3.29045 | − | 1.36295i | 0.490511 | − | 0.203176i | ||||
\(46\) | −2.39032 | + | 5.77075i | −0.352434 | + | 0.850850i | ||||
\(47\) | − | 11.1231i | − | 1.62247i | −0.584719 | − | 0.811236i | \(-0.698795\pi\) | ||
0.584719 | − | 0.811236i | \(-0.301205\pi\) | |||||||
\(48\) | −7.09970 | − | 2.94079i | −1.02475 | − | 0.424467i | ||||
\(49\) | 4.94975 | − | 4.94975i | 0.707107 | − | 0.707107i | ||||
\(50\) | 19.6847 | 2.78383 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.00000 | 0.277350 | ||||||||
\(53\) | 8.65938 | − | 8.65938i | 1.18946 | − | 1.18946i | 0.212240 | − | 0.977218i | \(-0.431924\pi\) |
0.977218 | − | 0.212240i | \(-0.0680757\pi\) | |||||||
\(54\) | −2.36657 | − | 0.980264i | −0.322049 | − | 0.133397i | ||||
\(55\) | − | 5.56155i | − | 0.749920i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −4.32806 | + | 1.79274i | −0.573266 | + | 0.237454i | ||||
\(58\) | 8.08346 | + | 19.5152i | 1.06141 | + | 2.56247i | ||||
\(59\) | −5.03680 | − | 5.03680i | −0.655735 | − | 0.655735i | 0.298633 | − | 0.954368i | \(-0.403469\pi\) |
−0.954368 | + | 0.298633i | \(0.903469\pi\) | |||||||
\(60\) | −11.4878 | − | 11.4878i | −1.48307 | − | 1.48307i | ||||
\(61\) | −3.49126 | − | 8.42865i | −0.447010 | − | 1.07918i | −0.973436 | − | 0.228957i | \(-0.926468\pi\) |
0.526426 | − | 0.850221i | \(-0.323532\pi\) | |||||||
\(62\) | −7.39104 | + | 3.06147i | −0.938663 | + | 0.388807i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.43845i | 0.179806i | ||||||||
\(65\) | 1.44269 | + | 0.597580i | 0.178943 | + | 0.0741207i | ||||
\(66\) | −2.82843 | + | 2.82843i | −0.348155 | + | 0.348155i | ||||
\(67\) | −4.00000 | −0.488678 | −0.244339 | − | 0.969690i | \(-0.578571\pi\) | ||||
−0.244339 | + | 0.969690i | \(0.578571\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 2.43845 | 0.293555 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.77075 | + | 2.39032i | 0.684862 | + | 0.283679i | 0.697858 | − | 0.716237i | \(-0.254137\pi\) |
−0.0129959 | + | 0.999916i | \(0.504137\pi\) | |||||||
\(72\) | 6.56155i | 0.773286i | ||||||||
\(73\) | −4.68642 | + | 11.3140i | −0.548504 | + | 1.32421i | 0.370087 | + | 0.928997i | \(0.379328\pi\) |
−0.918591 | + | 0.395209i | \(0.870672\pi\) | |||||||
\(74\) | −12.1242 | + | 5.02200i | −1.40941 | + | 0.583795i | ||||
\(75\) | −2.94079 | − | 7.09970i | −0.339573 | − | 0.819803i | ||||
\(76\) | 15.1104 | + | 15.1104i | 1.73328 | + | 1.73328i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −0.429794 | − | 1.03761i | −0.0486646 | − | 0.117487i | ||||
\(79\) | −8.65612 | + | 3.58548i | −0.973890 | + | 0.403398i | −0.812159 | − | 0.583437i | \(-0.801708\pi\) |
−0.161731 | + | 0.986835i | \(0.551708\pi\) | |||||||
\(80\) | −10.4738 | + | 25.2860i | −1.17100 | + | 2.82706i | ||||
\(81\) | 1.00000i | 0.111111i | ||||||||
\(82\) | 8.42865 | + | 3.49126i | 0.930789 | + | 0.385545i | ||||
\(83\) | 0.620058 | − | 0.620058i | 0.0680602 | − | 0.0680602i | −0.672257 | − | 0.740318i | \(-0.734675\pi\) |
0.740318 | + | 0.672257i | \(0.234675\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −12.0000 | −1.29399 | ||||||||
\(87\) | 5.83095 | − | 5.83095i | 0.625144 | − | 0.625144i | ||||
\(88\) | 9.46626 | + | 3.92106i | 1.00911 | + | 0.417986i | ||||
\(89\) | 1.12311i | 0.119049i | 0.998227 | + | 0.0595245i | \(0.0189584\pi\) | ||||
−0.998227 | + | 0.0595245i | \(0.981042\pi\) | |||||||
\(90\) | −3.49126 | + | 8.42865i | −0.368011 | + | 0.888458i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −4.25663 | − | 10.2764i | −0.443784 | − | 1.07139i | ||||
\(93\) | 2.20837 | + | 2.20837i | 0.228997 | + | 0.228997i | ||||
\(94\) | 20.1472 | + | 20.1472i | 2.07802 | + | 2.07802i | ||||
\(95\) | 6.38494 | + | 15.4146i | 0.655081 | + | 1.58151i | ||||
\(96\) | 6.06208 | − | 2.51100i | 0.618709 | − | 0.256278i | ||||
\(97\) | 1.10094 | − | 2.65790i | 0.111784 | − | 0.269869i | −0.858081 | − | 0.513514i | \(-0.828343\pi\) |
0.969864 | + | 0.243645i | \(0.0783433\pi\) | |||||||
\(98\) | 17.9309i | 1.81129i | ||||||||
\(99\) | 1.44269 | + | 0.597580i | 0.144995 | + | 0.0600591i | ||||
\(100\) | −24.7869 | + | 24.7869i | −2.47869 | + | 2.47869i | ||||
\(101\) | −10.8769 | −1.08229 | −0.541146 | − | 0.840929i | \(-0.682009\pi\) | ||||
−0.541146 | + | 0.840929i | \(0.682009\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 16.6847 | 1.64399 | 0.821994 | − | 0.569496i | \(-0.192862\pi\) | ||||
0.821994 | + | 0.569496i | \(0.192862\pi\) | |||||||
\(104\) | −2.03427 | + | 2.03427i | −0.199477 | + | 0.199477i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 31.3693i | 3.04686i | ||||||||
\(107\) | −1.79274 | + | 4.32806i | −0.173311 | + | 0.418409i | −0.986537 | − | 0.163538i | \(-0.947709\pi\) |
0.813226 | + | 0.581948i | \(0.197709\pi\) | |||||||
\(108\) | 4.21433 | − | 1.74563i | 0.405524 | − | 0.167973i | ||||
\(109\) | −2.63167 | − | 6.35342i | −0.252069 | − | 0.608547i | 0.746302 | − | 0.665607i | \(-0.231827\pi\) |
−0.998371 | + | 0.0570599i | \(0.981827\pi\) | |||||||
\(110\) | 10.0736 | + | 10.0736i | 0.960479 | + | 0.960479i | ||||
\(111\) | 3.62258 | + | 3.62258i | 0.343840 | + | 0.343840i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.405072 | + | 0.167786i | −0.0381060 | + | 0.0157840i | −0.401655 | − | 0.915791i | \(-0.631565\pi\) |
0.363549 | + | 0.931575i | \(0.381565\pi\) | |||||||
\(114\) | 4.59220 | − | 11.0866i | 0.430099 | − | 1.03835i | ||||
\(115\) | − | 8.68466i | − | 0.809849i | ||||||
\(116\) | −34.7522 | − | 14.3948i | −3.22666 | − | 1.33653i | ||||
\(117\) | −0.310029 | + | 0.310029i | −0.0286622 | + | 0.0286622i | ||||
\(118\) | 18.2462 | 1.67970 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 23.3693 | 2.13332 | ||||||||
\(121\) | −6.05393 | + | 6.05393i | −0.550357 | + | 0.550357i | ||||
\(122\) | 21.5904 | + | 8.94305i | 1.95471 | + | 0.809666i | ||||
\(123\) | − | 3.56155i | − | 0.321134i | ||||||
\(124\) | 5.45179 | − | 13.1618i | 0.489585 | − | 1.18196i | ||||
\(125\) | −8.83372 | + | 3.65905i | −0.790112 | + | 0.327275i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −14.0062 | − | 14.0062i | −1.24285 | − | 1.24285i | −0.958814 | − | 0.284036i | \(-0.908326\pi\) |
−0.284036 | − | 0.958814i | \(-0.591674\pi\) | |||||||
\(128\) | 6.67399 | + | 6.67399i | 0.589903 | + | 0.589903i | ||||
\(129\) | 1.79274 | + | 4.32806i | 0.157842 | + | 0.381064i | ||||
\(130\) | −3.69552 | + | 1.53073i | −0.324118 | + | 0.134254i | ||||
\(131\) | −5.52535 | + | 13.3394i | −0.482752 | + | 1.16547i | 0.475544 | + | 0.879692i | \(0.342251\pi\) |
−0.958297 | + | 0.285776i | \(0.907749\pi\) | |||||||
\(132\) | − | 7.12311i | − | 0.619987i | ||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 7.24517 | − | 7.24517i | 0.625887 | − | 0.625887i | ||||
\(135\) | 3.56155 | 0.306530 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 0.246211 | 0.0210352 | 0.0105176 | − | 0.999945i | \(-0.496652\pi\) | ||||
0.0105176 | + | 0.999945i | \(0.496652\pi\) | |||||||
\(138\) | −4.41674 | + | 4.41674i | −0.375978 | + | 0.375978i | ||||
\(139\) | 0.810145 | + | 0.335573i | 0.0687156 | + | 0.0284629i | 0.416777 | − | 0.909009i | \(-0.363160\pi\) |
−0.348061 | + | 0.937472i | \(0.613160\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 4.25663 | − | 10.2764i | 0.358473 | − | 0.865430i | ||||
\(142\) | −14.7821 | + | 6.12293i | −1.24048 | + | 0.513825i | ||||
\(143\) | 0.262007 | + | 0.632542i | 0.0219102 | + | 0.0528958i | ||||
\(144\) | −5.43387 | − | 5.43387i | −0.452823 | − | 0.452823i | ||||
\(145\) | −20.7672 | − | 20.7672i | −1.72463 | − | 1.72463i | ||||
\(146\) | −12.0045 | − | 28.9815i | −0.993501 | − | 2.39852i | ||||
\(147\) | 6.46716 | − | 2.67878i | 0.533402 | − | 0.220942i | ||||
\(148\) | 8.94305 | − | 21.5904i | 0.735114 | − | 1.77472i | ||||
\(149\) | 12.2462i | 1.00325i | 0.865086 | + | 0.501624i | \(0.167264\pi\) | ||||
−0.865086 | + | 0.501624i | \(0.832736\pi\) | |||||||
\(150\) | 18.1863 | + | 7.53299i | 1.48490 | + | 0.615066i | ||||
\(151\) | −5.65685 | + | 5.65685i | −0.460348 | + | 0.460348i | −0.898770 | − | 0.438421i | \(-0.855538\pi\) |
0.438421 | + | 0.898770i | \(0.355538\pi\) | |||||||
\(152\) | −30.7386 | −2.49323 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 7.86522 | − | 7.86522i | 0.631750 | − | 0.631750i | ||||
\(156\) | 1.84776 | + | 0.765367i | 0.147939 | + | 0.0612784i | ||||
\(157\) | − | 6.68466i | − | 0.533494i | −0.963767 | − | 0.266747i | \(-0.914051\pi\) | ||
0.963767 | − | 0.266747i | \(-0.0859488\pi\) | |||||||
\(158\) | 9.18440 | − | 22.1731i | 0.730672 | − | 1.76400i | ||||
\(159\) | 11.3140 | − | 4.68642i | 0.897260 | − | 0.371657i | ||||
\(160\) | −8.94305 | − | 21.5904i | −0.707010 | − | 1.70687i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −1.81129 | − | 1.81129i | −0.142308 | − | 0.142308i | ||||
\(163\) | 5.78736 | + | 13.9719i | 0.453301 | + | 1.09437i | 0.971059 | + | 0.238839i | \(0.0767667\pi\) |
−0.517758 | + | 0.855527i | \(0.673233\pi\) | |||||||
\(164\) | −15.0095 | + | 6.21716i | −1.17205 | + | 0.485478i | ||||
\(165\) | 2.12831 | − | 5.13820i | 0.165689 | − | 0.400009i | ||||
\(166\) | 2.24621i | 0.174340i | ||||||||
\(167\) | 18.3000 | + | 7.58010i | 1.41610 | + | 0.586566i | 0.953876 | − | 0.300200i | \(-0.0970533\pi\) |
0.462219 | + | 0.886766i | \(0.347053\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.8078 | 0.985213 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −4.68466 | −0.358245 | ||||||||
\(172\) | 15.1104 | − | 15.1104i | 1.15216 | − | 1.15216i | ||||
\(173\) | −1.67016 | − | 0.691801i | −0.126980 | − | 0.0525967i | 0.318289 | − | 0.947994i | \(-0.396892\pi\) |
−0.445269 | + | 0.895397i | \(0.646892\pi\) | |||||||
\(174\) | 21.1231i | 1.60134i | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −11.0866 | + | 4.59220i | −0.835680 | + | 0.346150i | ||||
\(177\) | −2.72589 | − | 6.58089i | −0.204891 | − | 0.494650i | ||||
\(178\) | −2.03427 | − | 2.03427i | −0.152475 | − | 0.152475i | ||||
\(179\) | −0.620058 | − | 0.620058i | −0.0463453 | − | 0.0463453i | 0.683554 | − | 0.729900i | \(-0.260433\pi\) |
−0.729900 | + | 0.683554i | \(0.760433\pi\) | |||||||
\(180\) | −6.21716 | − | 15.0095i | −0.463399 | − | 1.11875i | ||||
\(181\) | 5.54328 | − | 2.29610i | 0.412029 | − | 0.170668i | −0.167034 | − | 0.985951i | \(-0.553419\pi\) |
0.579062 | + | 0.815283i | \(0.303419\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | − | 9.12311i | − | 0.674399i | ||||||
\(184\) | 14.7821 | + | 6.12293i | 1.08975 | + | 0.451389i | ||||
\(185\) | 12.9020 | − | 12.9020i | 0.948575 | − | 0.948575i | ||||
\(186\) | −8.00000 | −0.586588 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −50.7386 | −3.70050 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −39.4853 | − | 16.3554i | −2.86457 | − | 1.18654i | ||||
\(191\) | 4.87689i | 0.352880i | 0.984311 | + | 0.176440i | \(0.0564581\pi\) | ||||
−0.984311 | + | 0.176440i | \(0.943542\pi\) | |||||||
\(192\) | −0.550470 | + | 1.32895i | −0.0397267 | + | 0.0959088i | ||||
\(193\) | 7.16357 | − | 2.96725i | 0.515645 | − | 0.213587i | −0.109658 | − | 0.993969i | \(-0.534976\pi\) |
0.625303 | + | 0.780382i | \(0.284976\pi\) | |||||||
\(194\) | 2.82012 | + | 6.80836i | 0.202472 | + | 0.488812i | ||||
\(195\) | 1.10418 | + | 1.10418i | 0.0790723 | + | 0.0790723i | ||||
\(196\) | −22.5785 | − | 22.5785i | −1.61275 | − | 1.61275i | ||||
\(197\) | 3.41770 | + | 8.25105i | 0.243501 | + | 0.587863i | 0.997626 | − | 0.0688681i | \(-0.0219388\pi\) |
−0.754125 | + | 0.656731i | \(0.771939\pi\) | |||||||
\(198\) | −3.69552 | + | 1.53073i | −0.262629 | + | 0.108785i | ||||
\(199\) | −6.12293 | + | 14.7821i | −0.434043 | + | 1.04787i | 0.543928 | + | 0.839132i | \(0.316937\pi\) |
−0.977971 | + | 0.208741i | \(0.933063\pi\) | |||||||
\(200\) | − | 50.4233i | − | 3.56547i | ||||||
\(201\) | −3.69552 | − | 1.53073i | −0.260662 | − | 0.107970i | ||||
\(202\) | 19.7012 | − | 19.7012i | 1.38617 | − | 1.38617i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −12.6847 | −0.885935 | ||||||||
\(206\) | −30.2208 | + | 30.2208i | −2.10558 | + | 2.10558i | ||||
\(207\) | 2.25283 | + | 0.933153i | 0.156583 | + | 0.0648586i | ||||
\(208\) | − | 3.36932i | − | 0.233620i | ||||||
\(209\) | −2.79946 | + | 6.75849i | −0.193643 | + | 0.467495i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.11622 | + | 12.3516i | 0.352215 | + | 0.850322i | 0.996346 | + | 0.0854069i | \(0.0272190\pi\) |
−0.644131 | + | 0.764915i | \(0.722781\pi\) | |||||||
\(212\) | −39.5002 | − | 39.5002i | −2.71289 | − | 2.71289i | ||||
\(213\) | 4.41674 | + | 4.41674i | 0.302630 | + | 0.302630i | ||||
\(214\) | −4.59220 | − | 11.0866i | −0.313916 | − | 0.757861i | ||||
\(215\) | 15.4146 | − | 6.38494i | 1.05127 | − | 0.435449i | ||||
\(216\) | −2.51100 | + | 6.06208i | −0.170852 | + | 0.412473i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 16.2746 | + | 6.74117i | 1.10226 | + | 0.456570i | ||||
\(219\) | −8.65938 | + | 8.65938i | −0.585147 | + | 0.585147i | ||||
\(220\) | −25.3693 | −1.71040 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −13.1231 | −0.880765 | ||||||||
\(223\) | −10.5577 | + | 10.5577i | −0.706997 | + | 0.706997i | −0.965903 | − | 0.258905i | \(-0.916638\pi\) |
0.258905 | + | 0.965903i | \(0.416638\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | − | 7.68466i | − | 0.512311i | ||||||
\(226\) | 0.429794 | − | 1.03761i | 0.0285895 | − | 0.0690211i | ||||
\(227\) | 12.9842 | − | 5.37822i | 0.861790 | − | 0.356965i | 0.0923829 | − | 0.995724i | \(-0.470552\pi\) |
0.769407 | + | 0.638758i | \(0.220552\pi\) | |||||||
\(228\) | 8.17768 | + | 19.7427i | 0.541580 | + | 1.30749i | ||||
\(229\) | −4.24264 | − | 4.24264i | −0.280362 | − | 0.280362i | 0.552892 | − | 0.833253i | \(-0.313524\pi\) |
−0.833253 | + | 0.552892i | \(0.813524\pi\) | |||||||
\(230\) | 15.7304 | + | 15.7304i | 1.03723 | + | 1.03723i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 49.9892 | − | 20.7062i | 3.28195 | − | 1.35943i | ||||
\(233\) | 1.36295 | − | 3.29045i | 0.0892896 | − | 0.215564i | −0.872926 | − | 0.487852i | \(-0.837780\pi\) |
0.962216 | + | 0.272288i | \(0.0877804\pi\) | |||||||
\(234\) | − | 1.12311i | − | 0.0734197i | ||||||
\(235\) | −36.6000 | − | 15.1602i | −2.38752 | − | 0.988943i | ||||
\(236\) | −22.9756 | + | 22.9756i | −1.49558 | + | 1.49558i | ||||
\(237\) | −9.36932 | −0.608603 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −6.24621 | −0.404034 | −0.202017 | − | 0.979382i | \(-0.564750\pi\) | ||||
−0.202017 | + | 0.979382i | \(0.564750\pi\) | |||||||
\(240\) | −19.3530 | + | 19.3530i | −1.24923 | + | 1.24923i | ||||
\(241\) | −3.11284 | − | 1.28938i | −0.200516 | − | 0.0830564i | 0.280166 | − | 0.959952i | \(-0.409611\pi\) |
−0.480681 | + | 0.876895i | \(0.659611\pi\) | |||||||
\(242\) | − | 21.9309i | − | 1.40977i | ||||||
\(243\) | −0.382683 | + | 0.923880i | −0.0245492 | + | 0.0592669i | ||||
\(244\) | −38.4477 | + | 15.9256i | −2.46136 | + | 1.01953i | ||||
\(245\) | −9.54063 | − | 23.0331i | −0.609529 | − | 1.47153i | ||||
\(246\) | 6.45101 | + | 6.45101i | 0.411301 | + | 0.411301i | ||||
\(247\) | −1.45238 | − | 1.45238i | −0.0924127 | − | 0.0924127i | ||||
\(248\) | 7.84211 | + | 18.9325i | 0.497975 | + | 1.20222i | ||||
\(249\) | 0.810145 | − | 0.335573i | 0.0513408 | − | 0.0212661i | ||||
\(250\) | 9.37284 | − | 22.6280i | 0.592791 | − | 1.43112i | ||||
\(251\) | 8.49242i | 0.536037i | 0.963414 | + | 0.268018i | \(0.0863688\pi\) | ||||
−0.963414 | + | 0.268018i | \(0.913631\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.69250 | − | 2.69250i | 0.169276 | − | 0.169276i | ||||
\(254\) | 50.7386 | 3.18363 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −27.0540 | −1.69087 | ||||||||
\(257\) | −10.8677 | + | 10.8677i | −0.677912 | + | 0.677912i | −0.959527 | − | 0.281616i | \(-0.909130\pi\) |
0.281616 | + | 0.959527i | \(0.409130\pi\) | |||||||
\(258\) | −11.0866 | − | 4.59220i | −0.690219 | − | 0.285898i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 2.72589 | − | 6.58089i | 0.169053 | − | 0.408130i | ||||
\(261\) | 7.61851 | − | 3.15569i | 0.471574 | − | 0.195332i | ||||
\(262\) | −14.1535 | − | 34.1695i | −0.874405 | − | 2.11100i | ||||
\(263\) | 14.4903 | + | 14.4903i | 0.893512 | + | 0.893512i | 0.994852 | − | 0.101340i | \(-0.0323129\pi\) |
−0.101340 | + | 0.994852i | \(0.532313\pi\) | |||||||
\(264\) | 7.24517 | + | 7.24517i | 0.445909 | + | 0.445909i | ||||
\(265\) | −16.6909 | − | 40.2955i | −1.02532 | − | 2.47533i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.429794 | + | 1.03761i | −0.0263030 | + | 0.0635010i | ||||
\(268\) | 18.2462i | 1.11456i | ||||||||
\(269\) | 15.1871 | + | 6.29072i | 0.925977 | + | 0.383552i | 0.794151 | − | 0.607721i | \(-0.207916\pi\) |
0.131826 | + | 0.991273i | \(0.457916\pi\) | |||||||
\(270\) | −6.45101 | + | 6.45101i | −0.392596 | + | 0.392596i | ||||
\(271\) | −19.8078 | −1.20324 | −0.601618 | − | 0.798784i | \(-0.705477\pi\) | ||||
−0.601618 | + | 0.798784i | \(0.705477\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.445960 | + | 0.445960i | −0.0269414 | + | 0.0269414i | ||||
\(275\) | −11.0866 | − | 4.59220i | −0.668544 | − | 0.276920i | ||||
\(276\) | − | 11.1231i | − | 0.669532i | ||||||
\(277\) | 2.29610 | − | 5.54328i | 0.137959 | − | 0.333063i | −0.839767 | − | 0.542947i | \(-0.817309\pi\) |
0.977726 | + | 0.209884i | \(0.0673085\pi\) | |||||||
\(278\) | −2.07523 | + | 0.859588i | −0.124464 | + | 0.0515547i | ||||
\(279\) | 1.19516 | + | 2.88537i | 0.0715524 | + | 0.172743i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −7.69113 | − | 7.69113i | −0.458814 | − | 0.458814i | 0.439452 | − | 0.898266i | \(-0.355173\pi\) |
−0.898266 | + | 0.439452i | \(0.855173\pi\) | |||||||
\(282\) | 10.9036 | + | 26.3236i | 0.649299 | + | 1.56755i | ||||
\(283\) | 19.7427 | − | 8.17768i | 1.17358 | − | 0.486113i | 0.291206 | − | 0.956660i | \(-0.405944\pi\) |
0.882375 | + | 0.470548i | \(0.155944\pi\) | |||||||
\(284\) | 10.9036 | − | 26.3236i | 0.647008 | − | 1.56202i | ||||
\(285\) | 16.6847i | 0.988314i | ||||||||
\(286\) | −1.62029 | − | 0.671146i | −0.0958097 | − | 0.0396857i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 6.56155 | 0.386643 | ||||||||
\(289\) | 0 | 0 | ||||||||
\(290\) | 75.2311 | 4.41772 | ||||||||
\(291\) | 2.03427 | − | 2.03427i | 0.119251 | − | 0.119251i | ||||
\(292\) | 51.6095 | + | 21.3774i | 3.02022 | + | 1.25102i | ||||
\(293\) | − | 1.12311i | − | 0.0656125i | −0.999462 | − | 0.0328063i | \(-0.989556\pi\) | ||
0.999462 | − | 0.0328063i | \(-0.0104444\pi\) | |||||||
\(294\) | −6.86185 | + | 16.5660i | −0.400191 | + | 0.966147i | ||||
\(295\) | −23.4382 | + | 9.70842i | −1.36462 | + | 0.565246i | ||||
\(296\) | 12.8641 | + | 31.0567i | 0.747711 | + | 1.80513i | ||||
\(297\) | 1.10418 | + | 1.10418i | 0.0640713 | + | 0.0640713i | ||||
\(298\) | −22.1815 | − | 22.1815i | −1.28494 | − | 1.28494i | ||||
\(299\) | 0.409138 | + | 0.987748i | 0.0236611 | + | 0.0571229i | ||||
\(300\) | −32.3857 | + | 13.4146i | −1.86979 | + | 0.774491i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | − | 20.4924i | − | 1.17921i | ||||||
\(303\) | −10.0489 | − | 4.16241i | −0.577297 | − | 0.239124i | ||||
\(304\) | 25.4558 | − | 25.4558i | 1.45999 | − | 1.45999i | ||||
\(305\) | −32.4924 | −1.86051 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 32.4924 | 1.85444 | 0.927220 | − | 0.374516i | \(-0.122191\pi\) | ||||
0.927220 | + | 0.374516i | \(0.122191\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 15.4146 | + | 6.38494i | 0.876907 | + | 0.363227i | ||||
\(310\) | 28.4924i | 1.61826i | ||||||||
\(311\) | 0 | 0 | −0.923880 | − | 0.382683i | \(-0.875000\pi\) | ||||
0.923880 | + | 0.382683i | \(0.125000\pi\) | |||||||
\(312\) | −2.65790 | + | 1.10094i | −0.150474 | + | 0.0623284i | ||||
\(313\) | 12.8641 | + | 31.0567i | 0.727122 | + | 1.75543i | 0.651955 | + | 0.758257i | \(0.273949\pi\) |
0.0751670 | + | 0.997171i | \(0.476051\pi\) | |||||||
\(314\) | 12.1079 | + | 12.1079i | 0.683286 | + | 0.683286i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 16.3554 | + | 39.4853i | 0.920061 | + | 2.22122i | ||||
\(317\) | −16.6298 | + | 6.88830i | −0.934024 | + | 0.386886i | −0.797204 | − | 0.603710i | \(-0.793688\pi\) |
−0.136821 | + | 0.990596i | \(0.543688\pi\) | |||||||
\(318\) | −12.0045 | + | 28.9815i | −0.673180 | + | 1.62520i | ||||
\(319\) | − | 12.8769i | − | 0.720968i | ||||||
\(320\) | 4.73313 | + | 1.96053i | 0.264590 | + | 0.109597i | ||||
\(321\) | −3.31255 | + | 3.31255i | −0.184889 | + | 0.184889i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 4.56155 | 0.253420 | ||||||||
\(325\) | 2.38247 | − | 2.38247i | 0.132155 | − | 0.132155i | ||||
\(326\) | −35.7898 | − | 14.8246i | −1.98222 | − | 0.821061i | ||||
\(327\) | − | 6.87689i | − | 0.380293i | ||||||
\(328\) | 8.94305 | − | 21.5904i | 0.493797 | − | 1.19213i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 5.45179 | + | 13.1618i | 0.300111 | + | 0.724532i | ||||
\(331\) | 24.6999 | + | 24.6999i | 1.35763 | + | 1.35763i | 0.876835 | + | 0.480792i | \(0.159651\pi\) |
0.480792 | + | 0.876835i | \(0.340349\pi\) | |||||||
\(332\) | −2.82843 | − | 2.82843i | −0.155230 | − | 0.155230i | ||||
\(333\) | 1.96053 | + | 4.73313i | 0.107436 | + | 0.259374i | ||||
\(334\) | −46.8764 | + | 19.4168i | −2.56496 | + | 1.06244i | ||||
\(335\) | −5.45179 | + | 13.1618i | −0.297863 | + | 0.719105i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −15.4645 | − | 6.40560i | −0.842404 | − | 0.348935i | −0.0806030 | − | 0.996746i | \(-0.525685\pi\) |
−0.761801 | + | 0.647811i | \(0.775685\pi\) | |||||||
\(338\) | −23.1986 | + | 23.1986i | −1.26184 | + | 1.26184i | ||||
\(339\) | −0.438447 | −0.0238132 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 4.87689 | 0.264099 | ||||||||
\(342\) | 8.48528 | − | 8.48528i | 0.458831 | − | 0.458831i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 30.7386i | 1.65732i | ||||||||
\(345\) | 3.32347 | − | 8.02358i | 0.178930 | − | 0.431975i | ||||
\(346\) | 4.27819 | − | 1.77209i | 0.229997 | − | 0.0952679i | ||||
\(347\) | −3.24991 | − | 7.84598i | −0.174464 | − | 0.421194i | 0.812325 | − | 0.583206i | \(-0.198202\pi\) |
−0.986789 | + | 0.162012i | \(0.948202\pi\) | |||||||
\(348\) | −26.5982 | − | 26.5982i | −1.42581 | − | 1.42581i | ||||
\(349\) | 8.17525 | + | 8.17525i | 0.437611 | + | 0.437611i | 0.891207 | − | 0.453596i | \(-0.149859\pi\) |
−0.453596 | + | 0.891207i | \(0.649859\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −0.405072 | + | 0.167786i | −0.0216212 | + | 0.00895578i | ||||
\(352\) | 3.92106 | − | 9.46626i | 0.208993 | − | 0.504554i | ||||
\(353\) | − | 10.4924i | − | 0.558455i | −0.960225 | − | 0.279228i | \(-0.909922\pi\) | ||
0.960225 | − | 0.279228i | \(-0.0900784\pi\) | |||||||
\(354\) | 16.8573 | + | 6.98252i | 0.895955 | + | 0.371117i | ||||
\(355\) | 15.7304 | − | 15.7304i | 0.834885 | − | 0.834885i | ||||
\(356\) | 5.12311 | 0.271524 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 2.24621 | 0.118716 | ||||||||
\(359\) | 10.0736 | − | 10.0736i | 0.531664 | − | 0.531664i | −0.389403 | − | 0.921067i | \(-0.627319\pi\) |
0.921067 | + | 0.389403i | \(0.127319\pi\) | |||||||
\(360\) | 21.5904 | + | 8.94305i | 1.13792 | + | 0.471340i | ||||
\(361\) | − | 2.94602i | − | 0.155054i | ||||||
\(362\) | −5.88158 | + | 14.1994i | −0.309129 | + | 0.746304i | ||||
\(363\) | −7.90984 | + | 3.27636i | −0.415159 | + | 0.171965i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 30.8408 | + | 30.8408i | 1.61428 | + | 1.61428i | ||||
\(366\) | 16.5246 | + | 16.5246i | 0.863755 | + | 0.863755i | ||||
\(367\) | 0.671146 | + | 1.62029i | 0.0350335 | + | 0.0845784i | 0.940428 | − | 0.339993i | \(-0.110425\pi\) |
−0.905394 | + | 0.424572i | \(0.860425\pi\) | |||||||
\(368\) | −17.3122 | + | 7.17096i | −0.902463 | + | 0.373812i | ||||
\(369\) | 1.36295 | − | 3.29045i | 0.0709522 | − | 0.171294i | ||||
\(370\) | 46.7386i | 2.42983i | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 10.0736 | − | 10.0736i | 0.522291 | − | 0.522291i | ||||
\(373\) | 0.246211 | 0.0127483 | 0.00637417 | − | 0.999980i | \(-0.497971\pi\) | ||||
0.00637417 | + | 0.999980i | \(0.497971\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −9.56155 | −0.493756 | ||||||||
\(376\) | 51.6081 | − | 51.6081i | 2.66148 | − | 2.66148i | ||||
\(377\) | 3.34031 | + | 1.38360i | 0.172035 | + | 0.0712592i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.59220 | + | 11.0866i | −0.235886 | + | 0.569478i | −0.996850 | − | 0.0793161i | \(-0.974726\pi\) |
0.760964 | + | 0.648794i | \(0.224726\pi\) | |||||||
\(380\) | 70.3146 | − | 29.1253i | 3.60706 | − | 1.49409i | ||||
\(381\) | −7.58010 | − | 18.3000i | −0.388340 | − | 0.937537i | ||||
\(382\) | −8.83348 | − | 8.83348i | −0.451960 | − | 0.451960i | ||||
\(383\) | 4.41674 | + | 4.41674i | 0.225685 | + | 0.225685i | 0.810887 | − | 0.585202i | \(-0.198985\pi\) |
−0.585202 | + | 0.810887i | \(0.698985\pi\) | |||||||
\(384\) | 3.61194 | + | 8.71999i | 0.184321 | + | 0.444990i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −7.60076 | + | 18.3499i | −0.386868 | + | 0.933983i | ||||
\(387\) | 4.68466i | 0.238135i | ||||||||
\(388\) | −12.1242 | − | 5.02200i | −0.615511 | − | 0.254953i | ||||
\(389\) | −25.3581 | + | 25.3581i | −1.28571 | + | 1.28571i | −0.348336 | + | 0.937370i | \(0.613253\pi\) |
−0.937370 | + | 0.348336i | \(0.886747\pi\) | |||||||
\(390\) | −4.00000 | −0.202548 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 45.9309 | 2.31986 | ||||||||
\(393\) | −10.2095 | + | 10.2095i | −0.515002 | + | 0.515002i | ||||
\(394\) | −21.1355 | − | 8.75461i | −1.06479 | − | 0.441051i | ||||
\(395\) | 33.3693i | 1.67899i | ||||||||
\(396\) | 2.72589 | − | 6.58089i | 0.136981 | − | 0.330702i | ||||
\(397\) | 17.8949 | − | 7.41232i | 0.898120 | − | 0.372014i | 0.114623 | − | 0.993409i | \(-0.463434\pi\) |
0.783497 | + | 0.621396i | \(0.213434\pi\) | |||||||
\(398\) | −15.6842 | − | 37.8651i | −0.786179 | − | 1.89800i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 41.7575 | + | 41.7575i | 2.08787 | + | 2.08787i | ||||
\(401\) | −14.9924 | − | 36.1949i | −0.748686 | − | 1.80749i | −0.566178 | − | 0.824283i | \(-0.691579\pi\) |
−0.182507 | − | 0.983204i | \(-0.558421\pi\) | |||||||
\(402\) | 9.46626 | − | 3.92106i | 0.472134 | − | 0.195564i | ||||
\(403\) | −0.524015 | + | 1.26508i | −0.0261030 | + | 0.0630183i | ||||
\(404\) | 49.6155i | 2.46846i | ||||||||
\(405\) | 3.29045 | + | 1.36295i | 0.163504 | + | 0.0677254i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 8.00000 | 0.396545 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −14.6847 | −0.726110 | −0.363055 | − | 0.931768i | \(-0.618266\pi\) | ||||
−0.363055 | + | 0.931768i | \(0.618266\pi\) | |||||||
\(410\) | 22.9756 | − | 22.9756i | 1.13468 | − | 1.13468i | ||||
\(411\) | 0.227470 | + | 0.0942210i | 0.0112202 | + | 0.00464758i | ||||
\(412\) | − | 76.1080i | − | 3.74957i | ||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −5.77075 | + | 2.39032i | −0.283617 | + | 0.117478i | ||||
\(415\) | −1.19516 | − | 2.88537i | −0.0586681 | − | 0.141637i | ||||
\(416\) | 2.03427 | + | 2.03427i | 0.0997384 | + | 0.0997384i | ||||
\(417\) | 0.620058 | + | 0.620058i | 0.0303644 | + | 0.0303644i | ||||
\(418\) | −7.17096 | − | 17.3122i | −0.350743 | − | 0.846769i | ||||
\(419\) | −0.454939 | + | 0.188442i | −0.0222252 | + | 0.00920599i | −0.393768 | − | 0.919210i | \(-0.628829\pi\) |
0.371543 | + | 0.928416i | \(0.378829\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 24.4384i | 1.19106i | 0.803334 | + | 0.595529i | \(0.203057\pi\) | ||||
−0.803334 | + | 0.595529i | \(0.796943\pi\) | |||||||
\(422\) | −31.6394 | − | 13.1055i | −1.54018 | − | 0.637964i | ||||
\(423\) | 7.86522 | − | 7.86522i | 0.382420 | − | 0.382420i | ||||
\(424\) | 80.3542 | 3.90234 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −16.0000 | −0.775203 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 19.7427 | + | 8.17768i | 0.954298 | + | 0.395283i | ||||
\(429\) | 0.684658i | 0.0330556i | ||||||||
\(430\) | −16.3554 | + | 39.4853i | −0.788726 | + | 1.90415i | ||||
\(431\) | 22.1731 | − | 9.18440i | 1.06804 | − | 0.442397i | 0.221742 | − | 0.975105i | \(-0.428826\pi\) |
0.846299 | + | 0.532708i | \(0.178826\pi\) | |||||||
\(432\) | −2.94079 | − | 7.09970i | −0.141489 | − | 0.341584i | ||||
\(433\) | −18.8689 | − | 18.8689i | −0.906782 | − | 0.906782i | 0.0892295 | − | 0.996011i | \(-0.471560\pi\) |
−0.996011 | + | 0.0892295i | \(0.971560\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −11.2392 | − | 27.1337i | −0.538876 | − | 1.30096i | ||||
\(436\) | −28.9815 | + | 12.0045i | −1.38796 | + | 0.574912i | ||||
\(437\) | −4.37150 | + | 10.5537i | −0.209117 | + | 0.504854i | ||||
\(438\) | − | 31.3693i | − | 1.49888i | ||||||
\(439\) | −20.5528 | − | 8.51326i | −0.980933 | − | 0.406316i | −0.166162 | − | 0.986099i | \(-0.553137\pi\) |
−0.814771 | + | 0.579783i | \(0.803137\pi\) | |||||||
\(440\) | 25.8040 | − | 25.8040i | 1.23016 | − | 1.23016i | ||||
\(441\) | 7.00000 | 0.333333 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −31.1231 | −1.47870 | −0.739352 | − | 0.673319i | \(-0.764868\pi\) | ||||
−0.739352 | + | 0.673319i | \(0.764868\pi\) | |||||||
\(444\) | 16.5246 | − | 16.5246i | 0.784223 | − | 0.784223i | ||||
\(445\) | 3.69552 | + | 1.53073i | 0.175184 | + | 0.0725637i | ||||
\(446\) | − | 38.2462i | − | 1.81101i | ||||||
\(447\) | −4.68642 | + | 11.3140i | −0.221660 | + | 0.535135i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 14.0593 | + | 33.9421i | 0.663498 | + | 1.60183i | 0.792284 | + | 0.610153i | \(0.208892\pi\) |
−0.128786 | + | 0.991672i | \(0.541108\pi\) | |||||||
\(450\) | 13.9192 | + | 13.9192i | 0.656155 | + | 0.656155i | ||||
\(451\) | −3.93261 | − | 3.93261i | −0.185179 | − | 0.185179i | ||||
\(452\) | 0.765367 | + | 1.84776i | 0.0359998 | + | 0.0869113i | ||||
\(453\) | −7.39104 | + | 3.06147i | −0.347261 | + | 0.143840i | ||||
\(454\) | −13.7766 | + | 33.2597i | −0.646568 | + | 1.56095i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −28.3988 | − | 11.7632i | −1.32990 | − | 0.550861i | ||||
\(457\) | −9.76356 | + | 9.76356i | −0.456720 | + | 0.456720i | −0.897577 | − | 0.440857i | \(-0.854675\pi\) |
0.440857 | + | 0.897577i | \(0.354675\pi\) | |||||||
\(458\) | 15.3693 | 0.718161 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −39.6155 | −1.84708 | ||||||||
\(461\) | −5.83095 | + | 5.83095i | −0.271575 | + | 0.271575i | −0.829734 | − | 0.558159i | \(-0.811508\pi\) |
0.558159 | + | 0.829734i | \(0.311508\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 40.9848i | 1.90473i | 0.304965 | + | 0.952364i | \(0.401355\pi\) | ||||
−0.304965 | + | 0.952364i | \(0.598645\pi\) | |||||||
\(464\) | −24.2504 | + | 58.5456i | −1.12580 | + | 2.71791i | ||||
\(465\) | 10.2764 | − | 4.25663i | 0.476557 | − | 0.197396i | ||||
\(466\) | 3.49126 | + | 8.42865i | 0.161730 | + | 0.390450i | ||||
\(467\) | −15.1104 | − | 15.1104i | −0.699225 | − | 0.699225i | 0.265018 | − | 0.964243i | \(-0.414622\pi\) |
−0.964243 | + | 0.265018i | \(0.914622\pi\) | |||||||
\(468\) | 1.41421 | + | 1.41421i | 0.0653720 | + | 0.0653720i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 93.7528 | − | 38.8337i | 4.32449 | − | 1.79126i | ||||
\(471\) | 2.55811 | − | 6.17582i | 0.117871 | − | 0.284567i | ||||
\(472\) | − | 46.7386i | − | 2.15132i | ||||||
\(473\) | 6.75849 | + | 2.79946i | 0.310756 | + | 0.128719i | ||||
\(474\) | 16.9706 | − | 16.9706i | 0.779484 | − | 0.779484i | ||||
\(475\) | 36.0000 | 1.65179 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 12.2462 | 0.560715 | ||||||||
\(478\) | 11.3137 | − | 11.3137i | 0.517477 | − | 0.517477i | ||||
\(479\) | −22.4504 | − | 9.29928i | −1.02579 | − | 0.424895i | −0.194597 | − | 0.980883i | \(-0.562340\pi\) |
−0.831190 | + | 0.555988i | \(0.812340\pi\) | |||||||
\(480\) | − | 23.3693i | − | 1.06666i | ||||||
\(481\) | −0.859588 | + | 2.07523i | −0.0391938 | + | 0.0946223i | ||||
\(482\) | 7.97371 | − | 3.30282i | 0.363193 | − | 0.150439i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 27.6153 | + | 27.6153i | 1.25524 | + | 1.25524i | ||||
\(485\) | −7.24517 | − | 7.24517i | −0.328986 | − | 0.328986i | ||||
\(486\) | −0.980264 | − | 2.36657i | −0.0444657 | − | 0.107350i | ||||
\(487\) | 16.0472 | − | 6.64695i | 0.727166 | − | 0.301202i | 0.0117792 | − | 0.999931i | \(-0.496250\pi\) |
0.715387 | + | 0.698729i | \(0.246250\pi\) | |||||||
\(488\) | 22.9081 | − | 55.3050i | 1.03700 | − | 2.50354i | ||||
\(489\) | 15.1231i | 0.683890i | ||||||||
\(490\) | 59.0006 | + | 24.4388i | 2.66537 | + | 1.10403i | ||||
\(491\) | 15.1104 | − | 15.1104i | 0.681922 | − | 0.681922i | −0.278511 | − | 0.960433i | \(-0.589841\pi\) |
0.960433 | + | 0.278511i | \(0.0898408\pi\) | |||||||
\(492\) | −16.2462 | −0.732436 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 5.26137 | 0.236720 | ||||||||
\(495\) | 3.93261 | − | 3.93261i | 0.176758 | − | 0.176758i | ||||
\(496\) | −22.1731 | − | 9.18440i | −0.995602 | − | 0.412392i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −0.859588 | + | 2.07523i | −0.0385191 | + | 0.0929932i | ||||
\(499\) | −12.3516 | + | 5.11622i | −0.552935 | + | 0.229033i | −0.641615 | − | 0.767027i | \(-0.721735\pi\) |
0.0886797 | + | 0.996060i | \(0.471735\pi\) | |||||||
\(500\) | 16.6909 | + | 40.2955i | 0.746442 | + | 1.80207i | ||||
\(501\) | 14.0062 | + | 14.0062i | 0.625751 | + | 0.625751i | ||||
\(502\) | −15.3823 | − | 15.3823i | −0.686543 | − | 0.686543i | ||||
\(503\) | 11.3127 | + | 27.3113i | 0.504409 | + | 1.21775i | 0.947060 | + | 0.321057i | \(0.104038\pi\) |
−0.442651 | + | 0.896694i | \(0.645962\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −14.8246 | + | 35.7898i | −0.659688 | + | 1.59263i | ||||
\(506\) | 9.75379i | 0.433609i | ||||||||
\(507\) | 11.8328 | + | 4.90132i | 0.525514 | + | 0.217675i | ||||
\(508\) | −63.8900 | + | 63.8900i | −2.83466 | + | 2.83466i | ||||
\(509\) | −25.1231 | −1.11356 | −0.556781 | − | 0.830659i | \(-0.687964\pi\) | ||||
−0.556781 | + | 0.830659i | \(0.687964\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 35.6547 | − | 35.6547i | 1.57573 | − | 1.57573i | ||||
\(513\) | −4.32806 | − | 1.79274i | −0.191089 | − | 0.0791515i | ||||
\(514\) | − | 39.3693i | − | 1.73651i | ||||||
\(515\) | 22.7403 | − | 54.9000i | 1.00206 | − | 2.41918i | ||||
\(516\) | 19.7427 | − | 8.17768i | 0.869123 | − | 0.360002i | ||||
\(517\) | −6.64695 | − | 16.0472i | −0.292333 | − | 0.705753i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −1.27828 | − | 1.27828i | −0.0561104 | − | 0.0561104i | ||||
\(520\) | 3.92106 | + | 9.46626i | 0.171950 | + | 0.415123i | ||||
\(521\) | −32.8546 | + | 13.6088i | −1.43939 | + | 0.596213i | −0.959649 | − | 0.281200i | \(-0.909268\pi\) |
−0.479736 | + | 0.877413i | \(0.659268\pi\) | |||||||
\(522\) | −8.08346 | + | 19.5152i | −0.353804 | + | 0.854157i | ||||
\(523\) | − | 20.0000i | − | 0.874539i | −0.899331 | − | 0.437269i | \(-0.855946\pi\) | ||
0.899331 | − | 0.437269i | \(-0.144054\pi\) | |||||||
\(524\) | 60.8483 | + | 25.2042i | 2.65817 | + | 1.10105i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −52.4924 | −2.28878 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | −12.0000 | −0.522233 | ||||||||
\(529\) | −12.0590 | + | 12.0590i | −0.524304 | + | 0.524304i | ||||
\(530\) | 103.219 | + | 42.7547i | 4.48355 | + | 1.85715i | ||||
\(531\) | − | 7.12311i | − | 0.309116i | ||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 1.44269 | − | 0.597580i | 0.0624897 | − | 0.0258841i | ||||
\(534\) | −1.10094 | − | 2.65790i | −0.0476423 | − | 0.115019i | ||||
\(535\) | 11.7978 | + | 11.7978i | 0.510065 | + | 0.510065i | ||||
\(536\) | −18.5589 | − | 18.5589i | −0.801621 | − | 0.801621i | ||||
\(537\) | −0.335573 | − | 0.810145i | −0.0144810 | − | 0.0349603i | ||||
\(538\) | −38.9027 | + | 16.1140i | −1.67721 | + | 0.694725i | ||||
\(539\) | 4.18306 | − | 10.0988i | 0.180177 | − | 0.434986i | ||||
\(540\) | − | 16.2462i | − | 0.699126i | ||||||
\(541\) | 31.5116 | + | 13.0525i | 1.35479 | + | 0.561173i | 0.937622 | − | 0.347656i | \(-0.113022\pi\) |
0.417169 | + | 0.908829i | \(0.363022\pi\) | |||||||
\(542\) | 35.8776 | − | 35.8776i | 1.54108 | − | 1.54108i | ||||
\(543\) | 6.00000 | 0.257485 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −24.4924 | −1.04914 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −25.8686 | − | 10.7151i | −1.10606 | − | 0.458146i | −0.246483 | − | 0.969147i | \(-0.579275\pi\) |
−0.859580 | + | 0.511001i | \(0.829275\pi\) | |||||||
\(548\) | − | 1.12311i | − | 0.0479767i | ||||||
\(549\) | 3.49126 | − | 8.42865i | 0.149003 | − | 0.359726i | ||||
\(550\) | 28.3988 | − | 11.7632i | 1.21093 | − | 0.501583i | ||||
\(551\) | 14.7833 | + | 35.6901i | 0.629791 | + | 1.52045i | ||||
\(552\) | 11.3137 | + | 11.3137i | 0.481543 | + | 0.481543i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 5.88158 | + | 14.1994i | 0.249885 | + | 0.603275i | ||||
\(555\) | 16.8573 | − | 6.98252i | 0.715553 | − | 0.296392i | ||||
\(556\) | 1.53073 | − | 3.69552i | 0.0649176 | − | 0.156725i | ||||
\(557\) | 26.4924i | 1.12252i | 0.827640 | + | 0.561260i | \(0.189683\pi\) | ||||
−0.827640 | + | 0.561260i | \(0.810317\pi\) | |||||||
\(558\) | −7.39104 | − | 3.06147i | −0.312888 | − | 0.129602i | ||||
\(559\) | −1.45238 | + | 1.45238i | −0.0614291 | + | 0.0614291i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 27.8617 | 1.17528 | ||||||||
\(563\) | 22.0074 | − | 22.0074i | 0.927500 | − | 0.927500i | −0.0700443 | − | 0.997544i | \(-0.522314\pi\) |
0.997544 | + | 0.0700443i | \(0.0223141\pi\) | |||||||
\(564\) | −46.8764 | − | 19.4168i | −1.97385 | − | 0.817596i | ||||
\(565\) | 1.56155i | 0.0656950i | ||||||||
\(566\) | −20.9476 | + | 50.5719i | −0.880492 | + | 2.12570i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 15.6842 | + | 37.8651i | 0.658095 | + | 1.58878i | ||||
\(569\) | −14.9363 | − | 14.9363i | −0.626162 | − | 0.626162i | 0.320938 | − | 0.947100i | \(-0.396002\pi\) |
−0.947100 | + | 0.320938i | \(0.896002\pi\) | |||||||
\(570\) | −30.2208 | − | 30.2208i | −1.26581 | − | 1.26581i | ||||
\(571\) | 11.7632 | + | 28.3988i | 0.492273 | + | 1.18845i | 0.953560 | + | 0.301202i | \(0.0973878\pi\) |
−0.461287 | + | 0.887251i | \(0.652612\pi\) | |||||||
\(572\) | 2.88537 | − | 1.19516i | 0.120644 | − | 0.0499722i | ||||
\(573\) | −1.86631 | + | 4.50566i | −0.0779661 | + | 0.188227i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −17.3122 | − | 7.17096i | −0.721970 | − | 0.299050i | ||||
\(576\) | −1.01714 | + | 1.01714i | −0.0423807 | + | 0.0423807i | ||||
\(577\) | 3.94602 | 0.164275 | 0.0821376 | − | 0.996621i | \(-0.473825\pi\) | ||||
0.0821376 | + | 0.996621i | \(0.473825\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 7.75379 | 0.322236 | ||||||||
\(580\) | −94.7309 | + | 94.7309i | −3.93349 | + | 3.93349i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 7.36932i | 0.305468i | ||||||||
\(583\) | 7.31810 | − | 17.6674i | 0.303085 | − | 0.731711i | ||||
\(584\) | −74.2376 | + | 30.7502i | −3.07197 | + | 1.27245i | ||||
\(585\) | 0.597580 | + | 1.44269i | 0.0247069 | + | 0.0596478i | ||||
\(586\) | 2.03427 | + | 2.03427i | 0.0840350 | + | 0.0840350i | ||||
\(587\) | −20.4954 | − | 20.4954i | −0.845935 | − | 0.845935i | 0.143688 | − | 0.989623i | \(-0.454104\pi\) |
−0.989623 | + | 0.143688i | \(0.954104\pi\) | |||||||
\(588\) | −12.2194 | − | 29.5003i | −0.503920 | − | 1.21657i | ||||
\(589\) | −13.5170 | + | 5.59892i | −0.556958 | + | 0.230699i | ||||
\(590\) | 24.8686 | − | 60.0382i | 1.02383 | − | 2.47173i | ||||
\(591\) | 8.93087i | 0.367367i | ||||||||
\(592\) | −36.3725 | − | 15.0660i | −1.49490 | − | 0.619208i | ||||
\(593\) | −19.6249 | + | 19.6249i | −0.805898 | + | 0.805898i | −0.984010 | − | 0.178112i | \(-0.943001\pi\) |
0.178112 | + | 0.984010i | \(0.443001\pi\) | |||||||
\(594\) | −4.00000 | −0.164122 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 55.8617 | 2.28819 | ||||||||
\(597\) | −11.3137 | + | 11.3137i | −0.463039 | + | 0.463039i | ||||
\(598\) | −2.53017 | − | 1.04803i | −0.103466 | − | 0.0428571i | ||||
\(599\) | 0.384472i | 0.0157091i | 0.999969 | + | 0.00785455i | \(0.00250021\pi\) | ||||
−0.999969 | + | 0.00785455i | \(0.997500\pi\) | |||||||
\(600\) | 19.2962 | − | 46.5850i | 0.787762 | − | 1.90183i | ||||
\(601\) | 28.6263 | − | 11.8574i | 1.16769 | − | 0.483673i | 0.287261 | − | 0.957852i | \(-0.407255\pi\) |
0.880428 | + | 0.474179i | \(0.157255\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −2.82843 | − | 2.82843i | −0.115182 | − | 0.115182i | ||||
\(604\) | 25.8040 | + | 25.8040i | 1.04995 | + | 1.04995i | ||||
\(605\) | 11.6689 | + | 28.1713i | 0.474410 | + | 1.14533i | ||||
\(606\) | 25.7409 | − | 10.6622i | 1.04565 | − | 0.433123i | ||||
\(607\) | 3.58548 | − | 8.65612i | 0.145530 | − | 0.351341i | −0.834259 | − | 0.551372i | \(-0.814104\pi\) |
0.979790 | + | 0.200031i | \(0.0641044\pi\) | |||||||
\(608\) | 30.7386i | 1.24662i | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 58.8532 | − | 58.8532i | 2.38290 | − | 2.38290i | ||||
\(611\) | 4.87689 | 0.197298 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 14.6847 | 0.593108 | 0.296554 | − | 0.955016i | \(-0.404163\pi\) | ||||
0.296554 | + | 0.955016i | \(0.404163\pi\) | |||||||
\(614\) | −58.8532 | + | 58.8532i | −2.37512 | + | 2.37512i | ||||
\(615\) | −11.7191 | − | 4.85421i | −0.472560 | − | 0.195741i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −16.9323 | + | 40.8782i | −0.681668 | + | 1.64569i | 0.0792574 | + | 0.996854i | \(0.474745\pi\) |
−0.760926 | + | 0.648839i | \(0.775255\pi\) | |||||||
\(618\) | −39.4853 | + | 16.3554i | −1.58833 | + | 0.657909i | ||||
\(619\) | 2.05475 | + | 4.96060i | 0.0825873 | + | 0.199383i | 0.959779 | − | 0.280757i | \(-0.0905856\pi\) |
−0.877191 | + | 0.480141i | \(0.840586\pi\) | |||||||
\(620\) | −35.8776 | − | 35.8776i | −1.44088 | − | 1.44088i | ||||
\(621\) | 1.72424 | + | 1.72424i | 0.0691915 | + | 0.0691915i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 1.28938 | − | 3.11284i | 0.0516166 | − | 0.124613i | ||||
\(625\) | − | 4.36932i | − | 0.174773i | ||||||
\(626\) | −79.5534 | − | 32.9521i | −3.17959 | − | 1.31703i | ||||
\(627\) | −5.17273 | + | 5.17273i | −0.206579 | + | 0.206579i | ||||
\(628\) | −30.4924 | −1.21678 | ||||||||
\(629\) | 0 | 0 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.484127 | + | 0.484127i | −0.0192728 | + | 0.0192728i | −0.716678 | − | 0.697405i | \(-0.754338\pi\) |
0.697405 | + | 0.716678i | \(0.254338\pi\) | |||||||
\(632\) | −56.7976 | − | 23.5263i | −2.25929 | − | 0.935827i | ||||
\(633\) | 13.3693i | 0.531383i | ||||||||
\(634\) | 17.6447 | − | 42.5982i | 0.700762 | − | 1.69179i | ||||
\(635\) | −65.1764 | + | 26.9969i | −2.58645 | + | 1.07134i | ||||
\(636\) | −21.3774 | − | 51.6095i | −0.847668 | − | 2.04645i | ||||
\(637\) | 2.17020 | + | 2.17020i | 0.0859866 | + | 0.0859866i | ||||
\(638\) | 23.3238 | + | 23.3238i | 0.923398 | + | 0.923398i | ||||
\(639\) | 2.39032 | + | 5.77075i | 0.0945597 | + | 0.228287i | ||||
\(640\) | 31.0567 | − | 12.8641i | 1.22762 | − | 0.508498i | ||||
\(641\) | 11.0714 | − | 26.7286i | 0.437293 | − | 1.05572i | −0.539587 | − | 0.841930i | \(-0.681420\pi\) |
0.976880 | − | 0.213788i | \(-0.0685802\pi\) | |||||||
\(642\) | − | 12.0000i | − | 0.473602i | ||||||
\(643\) | −12.7068 | − | 5.26335i | −0.501109 | − | 0.207566i | 0.117787 | − | 0.993039i | \(-0.462420\pi\) |
−0.618896 | + | 0.785473i | \(0.712420\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 16.6847 | 0.656958 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −9.36932 | −0.368346 | −0.184173 | − | 0.982894i | \(-0.558961\pi\) | ||||
−0.184173 | + | 0.982894i | \(0.558961\pi\) | |||||||
\(648\) | −4.63972 | + | 4.63972i | −0.182265 | + | 0.182265i | ||||
\(649\) | −10.2764 | − | 4.25663i | −0.403384 | − | 0.167087i | ||||
\(650\) | 8.63068i | 0.338523i | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 63.7337 | − | 26.3994i | 2.49600 | − | 1.03388i | ||||
\(653\) | −12.6021 | − | 30.4242i | −0.493158 | − | 1.19059i | −0.953104 | − | 0.302642i | \(-0.902131\pi\) |
0.459946 | − | 0.887947i | \(-0.347869\pi\) | |||||||
\(654\) | 12.4561 | + | 12.4561i | 0.487070 | + | 0.487070i | ||||
\(655\) | 36.3618 | + | 36.3618i | 1.42077 | + | 1.42077i | ||||
\(656\) | 10.4738 | + | 25.2860i | 0.408933 | + | 0.987251i | ||||
\(657\) | −11.3140 | + | 4.68642i | −0.441402 | + | 0.182835i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 9.86174i | − | 0.384159i | −0.981379 | − | 0.192079i | \(-0.938477\pi\) | ||
0.981379 | − | 0.192079i | \(-0.0615231\pi\) | |||||||
\(660\) | −23.4382 | − | 9.70842i | −0.912330 | − | 0.377900i | ||||
\(661\) | −9.41537 | + | 9.41537i | −0.366215 | + | 0.366215i | −0.866095 | − | 0.499880i | \(-0.833378\pi\) |
0.499880 | + | 0.866095i | \(0.333378\pi\) | |||||||
\(662\) | −89.4773 | −3.47763 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 5.75379 | 0.223290 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −12.1242 | − | 5.02200i | −0.469802 | − | 0.194598i | ||||
\(667\) | − | 20.1080i | − | 0.778583i | ||||||
\(668\) | 34.5770 | − | 83.4764i | 1.33783 | − | 3.22980i | ||||
\(669\) | −13.7943 | + | 5.71380i | −0.533319 | + | 0.220908i | ||||
\(670\) | −13.9650 | − | 33.7146i | −0.539517 | − | 1.30251i | ||||
\(671\) | −10.0736 | − | 10.0736i | −0.388887 | − | 0.388887i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 0.282663 | + | 0.682409i | 0.0108959 | + | 0.0263049i | 0.929234 | − | 0.369492i | \(-0.120468\pi\) |
−0.918338 | + | 0.395797i | \(0.870468\pi\) | |||||||
\(674\) | 39.6131 | − | 16.4083i | 1.52584 | − | 0.632023i | ||||
\(675\) | 2.94079 | − | 7.09970i | 0.113191 | − | 0.273268i | ||||
\(676\) | − | 58.4233i | − | 2.24705i | ||||||
\(677\) | −1.21522 | − | 0.503359i | −0.0467046 | − | 0.0193457i | 0.359209 | − | 0.933257i | \(-0.383047\pi\) |
−0.405913 | + | 0.913912i | \(0.633047\pi\) | |||||||
\(678\) | 0.794156 | − | 0.794156i | 0.0304994 | − | 0.0304994i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 14.0540 | 0.538550 | ||||||||
\(682\) | −8.83348 | + | 8.83348i | −0.338251 | + | 0.338251i | ||||
\(683\) | 8.83372 | + | 3.65905i | 0.338013 | + | 0.140010i | 0.545232 | − | 0.838285i | \(-0.316441\pi\) |
−0.207219 | + | 0.978294i | \(0.566441\pi\) | |||||||
\(684\) | 21.3693i | 0.817076i | ||||||||
\(685\) | 0.335573 | − | 0.810145i | 0.0128216 | − | 0.0309540i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −2.29610 | − | 5.54328i | −0.0876017 | − | 0.211489i | ||||
\(688\) | −25.4558 | − | 25.4558i | −0.970495 | − | 0.970495i | ||||
\(689\) | 3.79668 | + | 3.79668i | 0.144642 | + | 0.144642i | ||||
\(690\) | 8.51326 | + | 20.5528i | 0.324094 | + | 0.782432i | ||||
\(691\) | −26.7785 | + | 11.0920i | −1.01870 | + | 0.421960i | −0.828622 | − | 0.559808i | \(-0.810875\pi\) |
−0.190080 | + | 0.981769i | \(0.560875\pi\) | |||||||
\(692\) | −3.15569 | + | 7.61851i | −0.119961 | + | 0.289612i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 20.0979 | + | 8.32481i | 0.762905 | + | 0.316006i | ||||
\(695\) | 2.20837 | − | 2.20837i | 0.0837682 | − | 0.0837682i | ||||
\(696\) | 54.1080 | 2.05096 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | −29.6155 | −1.12096 | ||||||||
\(699\) | 2.51840 | − | 2.51840i | 0.0952546 | − | 0.0952546i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 15.3693i | − | 0.580491i | −0.956952 | − | 0.290246i | \(-0.906263\pi\) | ||
0.956952 | − | 0.290246i | \(-0.0937370\pi\) | |||||||
\(702\) | 0.429794 | − | 1.03761i | 0.0162215 | − | 0.0391622i | ||||
\(703\) | −22.1731 | + | 9.18440i | −0.836275 | + | 0.346396i | ||||
\(704\) | 0.859588 | + | 2.07523i | 0.0323969 | + | 0.0782131i | ||||
\(705\) | −28.0124 | − | 28.0124i | −1.05501 | − | 1.05501i | ||||
\(706\) | 19.0048 | + | 19.0048i | 0.715256 | + | 0.715256i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −30.0191 | + | 12.4343i | −1.12819 | + | 0.467310i | ||||
\(709\) | 17.1207 | − | 41.3331i | 0.642983 | − | 1.55230i | −0.179654 | − | 0.983730i | \(-0.557498\pi\) |
0.822637 | − | 0.568568i | \(-0.192502\pi\) | |||||||
\(710\) | 56.9848i | 2.13860i | ||||||||
\(711\) | −8.65612 | − | 3.58548i | −0.324630 | − | 0.134466i | ||||
\(712\) | −5.21089 | + | 5.21089i | −0.195287 | + | 0.195287i | ||||
\(713\) | 7.61553 | 0.285204 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.43845 | 0.0911928 | ||||||||
\(716\) | −2.82843 | + | 2.82843i | −0.105703 | + | 0.105703i | ||||
\(717\) | −5.77075 | − | 2.39032i | −0.215512 | − | 0.0892682i | ||||
\(718\) | 36.4924i | 1.36189i | ||||||||
\(719\) | −4.51864 | + | 10.9090i | −0.168517 | + | 0.406835i | −0.985466 | − | 0.169875i | \(-0.945664\pi\) |
0.816949 | + | 0.576710i | \(0.195664\pi\) | |||||||
\(720\) | −25.2860 | + | 10.4738i | −0.942352 | + | 0.390335i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 5.33611 | + | 5.33611i | 0.198589 | + | 0.198589i | ||||
\(723\) | −2.38247 | − | 2.38247i | −0.0886049 | − | 0.0886049i | ||||
\(724\) | −10.4738 | − | 25.2860i | −0.389255 | − | 0.939745i | ||||
\(725\) | −58.5456 | + | 24.2504i | −2.17433 | + | 0.900637i | ||||
\(726\) | 8.39258 | − | 20.2615i | 0.311478 | − | 0.751974i | ||||
\(727\) | − | 8.00000i | − | 0.296704i | −0.988935 | − | 0.148352i | \(-0.952603\pi\) | ||
0.988935 | − | 0.148352i | \(-0.0473968\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.707107 | + | 0.707107i | −0.0261891 | + | 0.0261891i | ||||
\(730\) | −111.723 | −4.13507 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | −41.6155 | −1.53815 | ||||||||
\(733\) | −8.31118 | + | 8.31118i | −0.306981 | + | 0.306981i | −0.843737 | − | 0.536757i | \(-0.819649\pi\) |
0.536757 | + | 0.843737i | \(0.319649\pi\) | |||||||
\(734\) | −4.15046 | − | 1.71918i | −0.153196 | − | 0.0634559i | ||||
\(735\) | − | 24.9309i | − | 0.919589i | ||||||
\(736\) | 6.12293 | − | 14.7821i | 0.225694 | − | 0.544874i | ||||
\(737\) | −5.77075 | + | 2.39032i | −0.212568 | + | 0.0880486i | ||||
\(738\) | 3.49126 | + | 8.42865i | 0.128515 | + | 0.310263i | ||||
\(739\) | 14.6263 | + | 14.6263i | 0.538036 | + | 0.538036i | 0.922952 | − | 0.384916i | \(-0.125770\pi\) |
−0.384916 | + | 0.922952i | \(0.625770\pi\) | |||||||
\(740\) | −58.8532 | − | 58.8532i | −2.16349 | − | 2.16349i | ||||
\(741\) | −0.786022 | − | 1.89763i | −0.0288753 | − | 0.0697110i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −10.9036 | + | 26.3236i | −0.400013 | + | 0.965718i | 0.587648 | + | 0.809116i | \(0.300054\pi\) |
−0.987662 | + | 0.156602i | \(0.949946\pi\) | |||||||
\(744\) | 20.4924i | 0.751289i | ||||||||
\(745\) | 40.2955 | + | 16.6909i | 1.47631 | + | 0.611509i | ||||
\(746\) | −0.445960 | + | 0.445960i | −0.0163278 | + | 0.0163278i | ||||
\(747\) | 0.876894 | 0.0320839 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 17.3188 | − | 17.3188i | 0.632392 | − | 0.632392i | ||||
\(751\) | 23.4382 | + | 9.70842i | 0.855272 | + | 0.354265i | 0.766857 | − | 0.641819i | \(-0.221820\pi\) |
0.0884152 | + | 0.996084i | \(0.471820\pi\) | |||||||
\(752\) | 85.4773i | 3.11704i | ||||||||
\(753\) | −3.24991 | + | 7.84598i | −0.118433 | + | 0.285923i | ||||
\(754\) | −8.55639 | + | 3.54417i | −0.311605 | + | 0.129071i | ||||
\(755\) | 10.9036 | + | 26.3236i | 0.396822 | + | 0.958013i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 11.3519 | + | 11.3519i | 0.412591 | + | 0.412591i | 0.882640 | − | 0.470049i | \(-0.155764\pi\) |
−0.470049 | + | 0.882640i | \(0.655764\pi\) | |||||||
\(758\) | −11.7632 | − | 28.3988i | −0.427257 | − | 1.03149i | ||||
\(759\) | 3.51792 | − | 1.45717i | 0.127692 | − | 0.0528919i | ||||
\(760\) | −41.8951 | + | 101.144i | −1.51970 | + | 3.66887i | ||||
\(761\) | − | 15.7538i | − | 0.571074i | −0.958368 | − | 0.285537i | \(-0.907828\pi\) | ||
0.958368 | − | 0.285537i | \(-0.0921720\pi\) | |||||||
\(762\) | 46.8764 | + | 19.4168i | 1.69815 | + | 0.703398i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 22.2462 | 0.804840 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −16.0000 | −0.578103 | ||||||||
\(767\) | 2.20837 | − | 2.20837i | 0.0797396 | − | 0.0797396i | ||||
\(768\) | −24.9946 | − | 10.3531i | −0.901915 | − | 0.373586i | ||||
\(769\) | − | 40.5464i | − | 1.46214i | −0.682302 | − | 0.731070i | \(-0.739021\pi\) | ||
0.682302 | − | 0.731070i | \(-0.260979\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −14.1994 | + | 5.88158i | −0.511379 | + | 0.211820i | ||||
\(772\) | −13.5353 | − | 32.6770i | −0.487144 | − | 1.17607i | ||||
\(773\) | 6.10281 | + | 6.10281i | 0.219503 | + | 0.219503i | 0.808289 | − | 0.588786i | \(-0.200394\pi\) |
−0.588786 | + | 0.808289i | \(0.700394\pi\) | |||||||
\(774\) | −8.48528 | − | 8.48528i | −0.304997 | − | 0.304997i | ||||
\(775\) | −9.18440 | − | 22.1731i | −0.329913 | − | 0.796482i | ||||
\(776\) | 17.4400 | − | 7.22387i | 0.626059 | − | 0.259322i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | − | 91.8617i | − | 3.29340i | ||||||
\(779\) | 15.4146 | + | 6.38494i | 0.552286 | + | 0.228764i | ||||
\(780\) | 5.03680 | − | 5.03680i | 0.180346 | − | 0.180346i | ||||
\(781\) | 9.75379 | 0.349018 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 8.24621 | 0.294696 | ||||||||
\(784\) | −38.0371 | + | 38.0371i | −1.35847 | + | 1.35847i | ||||
\(785\) | −21.9955 | − | 9.11084i | −0.785053 | − | 0.325180i | ||||
\(786\) | − | 36.9848i | − | 1.31921i | ||||||
\(787\) | −3.92106 | + | 9.46626i | −0.139771 | + | 0.337436i | −0.978229 | − | 0.207530i | \(-0.933457\pi\) |
0.838458 | + | 0.544966i | \(0.183457\pi\) | |||||||
\(788\) | 37.6376 | − | 15.5900i | 1.34078 | − | 0.555371i | ||||
\(789\) | 7.84211 | + | 18.9325i | 0.279187 | + | 0.674016i | ||||
\(790\) | −60.4416 | − | 60.4416i | −2.15041 | − | 2.15041i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 3.92106 | + | 9.46626i | 0.139329 | + | 0.336369i | ||||
\(793\) | 3.69552 | − | 1.53073i | 0.131232 | − | 0.0543579i | ||||
\(794\) | −18.9870 | + | 45.8388i | −0.673825 | + | 1.62676i | ||||
\(795\) | − | 43.6155i | − | 1.54688i | ||||||
\(796\) | 67.4292 | + | 27.9301i | 2.38996 | + | 0.989956i | ||||
\(797\) | 6.79921 | − | 6.79921i | 0.240840 | − | 0.240840i | −0.576357 | − | 0.817198i | \(-0.695526\pi\) |
0.817198 | + | 0.576357i | \(0.195526\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | −50.4233 | −1.78273 | ||||||||
\(801\) | −0.794156 | + | 0.794156i | −0.0280601 | + | 0.0280601i | ||||
\(802\) | 92.7152 | + | 38.4039i | 3.27389 | + | 1.35609i | ||||
\(803\) | 19.1231i | 0.674840i | ||||||||
\(804\) | −6.98252 | + | 16.8573i | −0.246255 | + | 0.594511i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −1.34229 | − | 3.24058i | −0.0472802 | − | 0.114145i | ||||
\(807\) | 11.6237 | + | 11.6237i | 0.409175 | + | 0.409175i | ||||
\(808\) | −50.4657 | − | 50.4657i | −1.77538 | − | 1.77538i | ||||
\(809\) | −6.10228 | − | 14.7322i | −0.214545 | − | 0.517957i | 0.779567 | − | 0.626319i | \(-0.215439\pi\) |
−0.994111 | + | 0.108362i | \(0.965439\pi\) | |||||||
\(810\) | −8.42865 | + | 3.49126i | −0.296153 | + | 0.122670i | ||||
\(811\) | 17.3621 | − | 41.9158i | 0.609665 | − | 1.47186i | −0.253700 | − | 0.967283i | \(-0.581648\pi\) |
0.863365 | − | 0.504579i | \(-0.168352\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −18.3000 | − | 7.58010i | −0.641809 | − | 0.265846i | ||||
\(814\) | −14.4903 | + | 14.4903i | −0.507886 | + | 0.507886i | ||||
\(815\) | 53.8617 | 1.88669 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −21.9460 | −0.767794 | ||||||||
\(818\) | 26.5982 | − | 26.5982i | 0.929984 | − | 0.929984i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 57.8617i | 2.02062i | ||||||||
\(821\) | −4.75999 | + | 11.4916i | −0.166125 | + | 0.401061i | −0.984917 | − | 0.173030i | \(-0.944644\pi\) |
0.818792 | + | 0.574091i | \(0.194644\pi\) | |||||||
\(822\) | −0.582675 | + | 0.241352i | −0.0203231 | + | 0.00841812i | ||||
\(823\) | 1.34229 | + | 3.24058i | 0.0467894 | + | 0.112959i | 0.945546 | − | 0.325488i | \(-0.105529\pi\) |
−0.898757 | + | 0.438447i | \(0.855529\pi\) | |||||||
\(824\) | 77.4121 | + | 77.4121i | 2.69678 | + | 2.69678i | ||||
\(825\) | −8.48528 | − | 8.48528i | −0.295420 | − | 0.295420i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 43.8134 | − | 18.1481i | 1.52354 | − | 0.631072i | 0.545244 | − | 0.838277i | \(-0.316437\pi\) |
0.978297 | + | 0.207206i | \(0.0664370\pi\) | |||||||
\(828\) | 4.25663 | − | 10.2764i | 0.147928 | − | 0.357130i | ||||
\(829\) | 17.5076i | 0.608063i | 0.952662 | + | 0.304032i | \(0.0983329\pi\) | ||||
−0.952662 | + | 0.304032i | \(0.901667\pi\) | |||||||
\(830\) | 7.39104 | + | 3.06147i | 0.256547 | + | 0.106265i | ||||
\(831\) | 4.24264 | − | 4.24264i | 0.147176 | − | 0.147176i | ||||
\(832\) | −0.630683 | −0.0218650 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −2.24621 | −0.0777799 | ||||||||
\(835\) | 49.8838 | − | 49.8838i | 1.72630 | − | 1.72630i | ||||
\(836\) | 30.8292 | + | 12.7699i | 1.06625 | + | 0.441656i | ||||
\(837\) | 3.12311i | 0.107950i | ||||||||
\(838\) | 0.482704 | − | 1.16535i | 0.0166747 | − | 0.0402564i | ||||
\(839\) | 24.0707 | − | 9.97042i | 0.831014 | − | 0.344217i | 0.0737100 | − | 0.997280i | \(-0.476516\pi\) |
0.757304 | + | 0.653062i | \(0.226516\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −27.5772 | − | 27.5772i | −0.950937 | − | 0.950937i | ||||
\(842\) | −44.2651 | − | 44.2651i | −1.52548 | − | 1.52548i | ||||
\(843\) | −4.16241 | − | 10.0489i | −0.143361 | − | 0.346104i | ||||
\(844\) | 56.3427 | − | 23.3379i | 1.93939 | − | 0.803323i | ||||
\(845\) | 17.4563 | − | 42.1433i | 0.600515 | − | 1.44977i | ||||
\(846\) | 28.4924i | 0.979590i | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −66.5444 | + | 66.5444i | −2.28514 | + | 2.28514i | ||||
\(849\) | 21.3693 | 0.733393 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 12.4924 | 0.428235 | ||||||||
\(852\) | 20.1472 | − | 20.1472i | 0.690231 | − | 0.690231i | ||||
\(853\) | 26.5510 | + | 10.9978i | 0.909090 | + | 0.376557i | 0.787708 | − | 0.616048i | \(-0.211267\pi\) |
0.121382 | + | 0.992606i | \(0.461267\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −6.38494 | + | 15.4146i | −0.218360 | + | 0.527169i | ||||
\(856\) | −28.3988 | + | 11.7632i | −0.970651 | + | 0.402057i | ||||
\(857\) | −2.29610 | − | 5.54328i | −0.0784333 | − | 0.189355i | 0.879799 | − | 0.475346i | \(-0.157677\pi\) |
−0.958232 | + | 0.285991i | \(0.907677\pi\) | |||||||
\(858\) | −1.24012 | − | 1.24012i | −0.0423369 | − | 0.0423369i | ||||
\(859\) | 8.48528 | + | 8.48528i | 0.289514 | + | 0.289514i | 0.836888 | − | 0.547374i | \(-0.184372\pi\) |
−0.547374 | + | 0.836888i | \(0.684372\pi\) | |||||||
\(860\) | −29.1253 | − | 70.3146i | −0.993163 | − | 2.39771i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −23.5263 | + | 56.7976i | −0.801310 | + | 1.93453i | ||||
\(863\) | − | 9.75379i | − | 0.332023i | −0.986124 | − | 0.166011i | \(-0.946911\pi\) | ||
0.986124 | − | 0.166011i | \(-0.0530889\pi\) | |||||||
\(864\) | 6.06208 | + | 2.51100i | 0.206236 | + | 0.0854259i | ||||
\(865\) | −4.55267 | + | 4.55267i | −0.154795 | + | 0.154795i | ||||
\(866\) | 68.3542 | 2.32277 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −10.3455 | + | 10.3455i | −0.350946 | + | 0.350946i | ||||
\(870\) | 69.5044 | + | 28.7897i | 2.35642 | + | 0.976062i | ||||
\(871\) | − | 1.75379i | − | 0.0594249i | ||||||
\(872\) | 17.2679 | − | 41.6883i | 0.584764 | − | 1.41174i | ||||
\(873\) | 2.65790 | − | 1.10094i | 0.0899564 | − | 0.0372612i | ||||
\(874\) | −11.1978 | − | 27.0340i | −0.378773 | − | 0.914438i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 39.5002 | + | 39.5002i | 1.33459 | + | 1.33459i | ||||
\(877\) | 13.0112 | + | 31.4119i | 0.439358 | + | 1.06070i | 0.976171 | + | 0.217003i | \(0.0696282\pi\) |
−0.536813 | + | 0.843701i | \(0.680372\pi\) | |||||||
\(878\) | 52.6471 | − | 21.8072i | 1.77675 | − | 0.735956i | ||||
\(879\) | 0.429794 | − | 1.03761i | 0.0144966 | − | 0.0349979i | ||||
\(880\) | 42.7386i | 1.44072i | ||||||||
\(881\) | 37.1827 | + | 15.4016i | 1.25272 | + | 0.518892i | 0.907666 | − | 0.419693i | \(-0.137862\pi\) |
0.345049 | + | 0.938585i | \(0.387862\pi\) | |||||||
\(882\) | −12.6790 | + | 12.6790i | −0.426925 | + | 0.426925i | ||||
\(883\) | 23.4233 | 0.788257 | 0.394128 | − | 0.919055i | \(-0.371047\pi\) | ||||
0.394128 | + | 0.919055i | \(0.371047\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −25.3693 | −0.852780 | ||||||||
\(886\) | 56.3730 | − | 56.3730i | 1.89389 | − | 1.89389i | ||||
\(887\) | −17.0349 | − | 7.05609i | −0.571976 | − | 0.236920i | 0.0778990 | − | 0.996961i | \(-0.475179\pi\) |
−0.649875 | + | 0.760041i | \(0.725179\pi\) | |||||||
\(888\) | 33.6155i | 1.12806i | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −9.46626 | + | 3.92106i | −0.317310 | + | 0.131434i | ||||
\(891\) | 0.597580 | + | 1.44269i | 0.0200197 | + | 0.0483318i | ||||
\(892\) | 48.1596 | + | 48.1596i | 1.61250 | + | 1.61250i | ||||
\(893\) | 36.8459 | + | 36.8459i | 1.23300 | + | 1.23300i | ||||
\(894\) | −12.0045 | − | 28.9815i | −0.401491 | − | 0.969285i | ||||
\(895\) | −2.88537 | + | 1.19516i | −0.0964474 | + | 0.0399498i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 1.06913i | 0.0356972i | ||||||||
\(898\) | −86.9444 | − | 36.0136i | −2.90137 | − | 1.20179i | ||||
\(899\) | 18.2107 | − | 18.2107i | 0.607360 | − | 0.607360i | ||||
\(900\) | −35.0540 | −1.16847 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 14.2462 | 0.474347 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −2.65790 | − | 1.10094i | −0.0884006 | − | 0.0366167i | ||||
\(905\) | − | 21.3693i | − | 0.710340i | ||||||
\(906\) | 7.84211 | − | 18.9325i | 0.260537 | − | 0.628991i | ||||
\(907\) | 9.11106 | − | 3.77392i | 0.302528 | − | 0.125311i | −0.226256 | − | 0.974068i | \(-0.572648\pi\) |
0.528783 | + | 0.848757i | \(0.322648\pi\) | |||||||
\(908\) | −24.5331 | − | 59.2280i | −0.814158 | − | 1.96555i | ||||
\(909\) | −7.69113 | − | 7.69113i | −0.255099 | − | 0.255099i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −9.29928 | − | 22.4504i | −0.308099 | − | 0.743816i | −0.999767 | − | 0.0216007i | \(-0.993124\pi\) |
0.691668 | − | 0.722216i | \(-0.256876\pi\) | |||||||
\(912\) | 33.2597 | − | 13.7766i | 1.10134 | − | 0.456189i | ||||
\(913\) | 0.524015 | − | 1.26508i | 0.0173424 | − | 0.0418682i | ||||
\(914\) | − | 35.3693i | − | 1.16991i | ||||||
\(915\) | −30.0191 | − | 12.4343i | −0.992400 | − | 0.411066i | ||||
\(916\) | −19.3530 | + | 19.3530i | −0.639442 | + | 0.639442i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −16.6847 | −0.550376 | −0.275188 | − | 0.961390i | \(-0.588740\pi\) | ||||
−0.275188 | + | 0.961390i | \(0.588740\pi\) | |||||||
\(920\) | 40.2944 | − | 40.2944i | 1.32847 | − | 1.32847i | ||||
\(921\) | 30.0191 | + | 12.4343i | 0.989162 | + | 0.409725i | ||||
\(922\) | − | 21.1231i | − | 0.695652i | ||||||
\(923\) | −1.04803 | + | 2.53017i | −0.0344963 | + | 0.0832815i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −15.0660 | − | 36.3725i | −0.495367 | − | 1.19592i | ||||
\(926\) | −74.2355 | − | 74.2355i | −2.43953 | − | 2.43953i | ||||
\(927\) | 11.7978 | + | 11.7978i | 0.387492 | + | 0.387492i | ||||
\(928\) | −20.7062 | − | 49.9892i | −0.679715 | − | 1.64098i | ||||
\(929\) | 2.83551 | − | 1.17451i | 0.0930300 | − | 0.0385343i | −0.335683 | − | 0.941975i | \(-0.608967\pi\) |
0.428713 | + | 0.903441i | \(0.358967\pi\) | |||||||
\(930\) | −10.9036 | + | 26.3236i | −0.357542 | + | 0.863184i | ||||
\(931\) | 32.7926i | 1.07473i | ||||||||
\(932\) | −15.0095 | − | 6.21716i | −0.491654 | − | 0.203650i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 54.7386 | 1.79110 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −2.87689 | −0.0940342 | ||||||||
\(937\) | −15.5563 | + | 15.5563i | −0.508204 | + | 0.508204i | −0.913975 | − | 0.405771i | \(-0.867003\pi\) |
0.405771 | + | 0.913975i | \(0.367003\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 33.6155i | 1.09700i | ||||||||
\(940\) | −69.1541 | + | 166.953i | −2.25556 | + | 5.44540i | ||||
\(941\) | −27.7164 | + | 11.4805i | −0.903528 | + | 0.374254i | −0.785576 | − | 0.618766i | \(-0.787633\pi\) |
−0.117953 | + | 0.993019i | \(0.537633\pi\) | |||||||
\(942\) | 6.55273 | + | 15.8197i | 0.213499 | + | 0.515433i | ||||
\(943\) | −6.14098 | − | 6.14098i | −0.199978 | − | 0.199978i | ||||
\(944\) | 38.7061 | + | 38.7061i | 1.25977 | + | 1.25977i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −17.3122 | + | 7.17096i | −0.562869 | + | 0.233148i | ||||
\(947\) | −4.59220 | + | 11.0866i | −0.149226 | + | 0.360265i | −0.980762 | − | 0.195207i | \(-0.937462\pi\) |
0.831536 | + | 0.555471i | \(0.187462\pi\) | |||||||
\(948\) | 42.7386i | 1.38809i | ||||||||
\(949\) | −4.96060 | − | 2.05475i | −0.161028 | − | 0.0667000i | ||||
\(950\) | −65.2065 | + | 65.2065i | −2.11558 | + | 2.11558i | ||||
\(951\) | −18.0000 | −0.583690 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 36.3542 | 1.17763 | 0.588813 | − | 0.808269i | \(-0.299595\pi\) | ||||
0.588813 | + | 0.808269i | \(0.299595\pi\) | |||||||
\(954\) | −22.1815 | + | 22.1815i | −0.718151 | + | 0.718151i | ||||
\(955\) | 16.0472 | + | 6.64695i | 0.519274 | + | 0.215090i | ||||
\(956\) | 28.4924i | 0.921511i | ||||||||
\(957\) | 4.92777 | − | 11.8967i | 0.159292 | − | 0.384566i | ||||
\(958\) | 57.5080 | − | 23.8206i | 1.85800 | − | 0.769608i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 3.62258 | + | 3.62258i | 0.116918 | + | 0.116918i | ||||
\(961\) | −15.0233 | − | 15.0233i | −0.484624 | − | 0.484624i | ||||
\(962\) | −2.20188 | − | 5.31581i | −0.0709914 | − | 0.171389i | ||||
\(963\) | −4.32806 | + | 1.79274i | −0.139470 | + | 0.0577703i | ||||
\(964\) | −5.88158 | + | 14.1994i | −0.189433 | + | 0.457332i | ||||
\(965\) | − | 27.6155i | − | 0.888975i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −30.0085 | + | 30.0085i | −0.965009 | + | 0.965009i | −0.999408 | − | 0.0343994i | \(-0.989048\pi\) |
0.0343994 | + | 0.999408i | \(0.489048\pi\) | |||||||
\(968\) | −56.1771 | −1.80560 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 26.2462 | 0.842715 | ||||||||
\(971\) | −30.8408 | + | 30.8408i | −0.989730 | + | 0.989730i | −0.999948 | − | 0.0102183i | \(-0.996747\pi\) |
0.0102183 | + | 0.999948i | \(0.496747\pi\) | |||||||
\(972\) | 4.21433 | + | 1.74563i | 0.135175 | + | 0.0559911i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −17.0265 | + | 41.1056i | −0.545565 | + | 1.31711i | ||||
\(975\) | 3.11284 | − | 1.28938i | 0.0996908 | − | 0.0412933i | ||||
\(976\) | 26.8292 | + | 64.7713i | 0.858780 | + | 2.07328i | ||||
\(977\) | −5.83095 | − | 5.83095i | −0.186549 | − | 0.186549i | 0.607654 | − | 0.794202i | \(-0.292111\pi\) |
−0.794202 | + | 0.607654i | \(0.792111\pi\) | |||||||
\(978\) | −27.3924 | − | 27.3924i | −0.875911 | − | 0.875911i | ||||
\(979\) | 0.671146 | + | 1.62029i | 0.0214499 | + | 0.0517847i | ||||
\(980\) | −105.067 | + | 43.5201i | −3.35624 | + | 1.39020i | ||||
\(981\) | 2.63167 | − | 6.35342i | 0.0840229 | − | 0.202849i | ||||
\(982\) | 54.7386i | 1.74678i | ||||||||
\(983\) | 28.5764 | + | 11.8367i | 0.911446 | + | 0.377533i | 0.788610 | − | 0.614894i | \(-0.210801\pi\) |
0.122836 | + | 0.992427i | \(0.460801\pi\) | |||||||
\(984\) | 16.5246 | − | 16.5246i | 0.526785 | − | 0.526785i | ||||
\(985\) | 31.8078 | 1.01348 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −6.62511 | + | 6.62511i | −0.210773 | + | 0.210773i | ||||
\(989\) | 10.5537 | + | 4.37150i | 0.335590 | + | 0.139006i | ||||
\(990\) | 14.2462i | 0.452774i | ||||||||
\(991\) | 16.3554 | − | 39.4853i | 0.519545 | − | 1.25429i | −0.418638 | − | 0.908153i | \(-0.637492\pi\) |
0.938183 | − | 0.346140i | \(-0.112508\pi\) | |||||||
\(992\) | 18.9325 | − | 7.84211i | 0.601108 | − | 0.248987i | ||||
\(993\) | 13.3675 | + | 32.2719i | 0.424204 | + | 1.02412i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 40.2944 | + | 40.2944i | 1.27742 | + | 1.27742i | ||||
\(996\) | −1.53073 | − | 3.69552i | −0.0485032 | − | 0.117097i | ||||
\(997\) | −9.23880 | + | 3.82683i | −0.292596 | + | 0.121197i | −0.524153 | − | 0.851624i | \(-0.675618\pi\) |
0.231557 | + | 0.972821i | \(0.425618\pi\) | |||||||
\(998\) | 13.1055 | − | 31.6394i | 0.414846 | − | 1.00153i | ||||
\(999\) | 5.12311i | 0.162088i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))