Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [310,2,Mod(249,310)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(310, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("310.249");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 310 = 2 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 310.b (of order \(2\), degree \(1\), 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: | \(2.47536246266\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | 8.0.619810816.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{5} + 14x^{4} - 8x^{3} + 2x^{2} + 2x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 249.3 | ||
Root | \(0.561103 + 0.561103i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 310.249 |
Dual form | 310.2.b.a.249.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/310\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(251\) |
\(\chi(n)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | 0.370326i | 0.213808i | 0.994269 | + | 0.106904i | \(0.0340937\pi\) | ||||
−0.994269 | + | 0.106904i | \(0.965906\pi\) | |||||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | 1.45220 | − | 1.70032i | 0.649446 | − | 0.760408i | ||||
\(6\) | 0.370326 | 0.151185 | ||||||||
\(7\) | 4.27844i | 1.61710i | 0.588428 | + | 0.808549i | \(0.299747\pi\) | ||||
−0.588428 | + | 0.808549i | \(0.700253\pi\) | |||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 2.86286 | 0.954286 | ||||||||
\(10\) | −1.70032 | − | 1.45220i | −0.537690 | − | 0.459227i | ||||
\(11\) | 2.81252 | 0.848008 | 0.424004 | − | 0.905660i | \(-0.360624\pi\) | ||||
0.424004 | + | 0.905660i | \(0.360624\pi\) | |||||||
\(12\) | − | 0.370326i | − | 0.106904i | ||||||
\(13\) | − | 4.53408i | − | 1.25753i | −0.777596 | − | 0.628764i | \(-0.783561\pi\) | ||
0.777596 | − | 0.628764i | \(-0.216439\pi\) | |||||||
\(14\) | 4.27844 | 1.14346 | ||||||||
\(15\) | 0.629674 | + | 0.537789i | 0.162581 | + | 0.138857i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | − | 0.197785i | − | 0.0479699i | −0.999712 | − | 0.0239850i | \(-0.992365\pi\) | ||
0.999712 | − | 0.0239850i | \(-0.00763538\pi\) | |||||||
\(18\) | − | 2.86286i | − | 0.674782i | ||||||
\(19\) | −2.66000 | −0.610245 | −0.305122 | − | 0.952313i | \(-0.598697\pi\) | ||||
−0.305122 | + | 0.952313i | \(0.598697\pi\) | |||||||
\(20\) | −1.45220 | + | 1.70032i | −0.324723 | + | 0.380204i | ||||
\(21\) | −1.58442 | −0.345748 | ||||||||
\(22\) | − | 2.81252i | − | 0.599632i | ||||||
\(23\) | − | 0.877793i | − | 0.183033i | −0.995804 | − | 0.0915163i | \(-0.970829\pi\) | ||
0.995804 | − | 0.0915163i | \(-0.0291713\pi\) | |||||||
\(24\) | −0.370326 | −0.0755925 | ||||||||
\(25\) | −0.782203 | − | 4.93844i | −0.156441 | − | 0.987687i | ||||
\(26\) | −4.53408 | −0.889207 | ||||||||
\(27\) | 2.17117i | 0.417842i | ||||||||
\(28\) | − | 4.27844i | − | 0.808549i | ||||||
\(29\) | 7.47252 | 1.38761 | 0.693806 | − | 0.720162i | \(-0.255932\pi\) | ||||
0.693806 | + | 0.720162i | \(0.255932\pi\) | |||||||
\(30\) | 0.537789 | − | 0.629674i | 0.0981864 | − | 0.114962i | ||||
\(31\) | −1.00000 | −0.179605 | ||||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 1.04155i | 0.181311i | ||||||||
\(34\) | −0.197785 | −0.0339198 | ||||||||
\(35\) | 7.27474 | + | 6.21317i | 1.22965 | + | 1.05022i | ||||
\(36\) | −2.86286 | −0.477143 | ||||||||
\(37\) | 5.87409i | 0.965694i | 0.875705 | + | 0.482847i | \(0.160397\pi\) | ||||
−0.875705 | + | 0.482847i | \(0.839603\pi\) | |||||||
\(38\) | 2.66000i | 0.431508i | ||||||||
\(39\) | 1.67909 | 0.268869 | ||||||||
\(40\) | 1.70032 | + | 1.45220i | 0.268845 | + | 0.229614i | ||||
\(41\) | −8.99908 | −1.40542 | −0.702710 | − | 0.711476i | \(-0.748027\pi\) | ||||
−0.702710 | + | 0.711476i | \(0.748027\pi\) | |||||||
\(42\) | 1.58442i | 0.244481i | ||||||||
\(43\) | − | 5.71033i | − | 0.870817i | −0.900233 | − | 0.435409i | \(-0.856604\pi\) | ||
0.900233 | − | 0.435409i | \(-0.143396\pi\) | |||||||
\(44\) | −2.81252 | −0.424004 | ||||||||
\(45\) | 4.15746 | − | 4.86779i | 0.619757 | − | 0.725647i | ||||
\(46\) | −0.877793 | −0.129424 | ||||||||
\(47\) | 10.0873i | 1.47138i | 0.677319 | + | 0.735689i | \(0.263142\pi\) | ||||
−0.677319 | + | 0.735689i | \(0.736858\pi\) | |||||||
\(48\) | 0.370326i | 0.0534519i | ||||||||
\(49\) | −11.3051 | −1.61501 | ||||||||
\(50\) | −4.93844 | + | 0.782203i | −0.698400 | + | 0.110620i | ||||
\(51\) | 0.0732449 | 0.0102563 | ||||||||
\(52\) | 4.53408i | 0.628764i | ||||||||
\(53\) | 0.206568i | 0.0283743i | 0.999899 | + | 0.0141872i | \(0.00451607\pi\) | ||||
−0.999899 | + | 0.0141872i | \(0.995484\pi\) | |||||||
\(54\) | 2.17117 | 0.295459 | ||||||||
\(55\) | 4.08436 | − | 4.78220i | 0.550735 | − | 0.644832i | ||||
\(56\) | −4.27844 | −0.571731 | ||||||||
\(57\) | − | 0.985065i | − | 0.130475i | ||||||
\(58\) | − | 7.47252i | − | 0.981190i | ||||||
\(59\) | −4.55688 | −0.593256 | −0.296628 | − | 0.954993i | \(-0.595862\pi\) | ||||
−0.296628 | + | 0.954993i | \(0.595862\pi\) | |||||||
\(60\) | −0.629674 | − | 0.537789i | −0.0812906 | − | 0.0694283i | ||||
\(61\) | −5.96876 | −0.764221 | −0.382111 | − | 0.924117i | \(-0.624803\pi\) | ||||
−0.382111 | + | 0.924117i | \(0.624803\pi\) | |||||||
\(62\) | 1.00000i | 0.127000i | ||||||||
\(63\) | 12.2486i | 1.54318i | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −7.70941 | − | 6.58442i | −0.956235 | − | 0.816697i | ||||
\(66\) | 1.04155 | 0.128206 | ||||||||
\(67\) | − | 5.70571i | − | 0.697063i | −0.937297 | − | 0.348531i | \(-0.886680\pi\) | ||
0.937297 | − | 0.348531i | \(-0.113320\pi\) | |||||||
\(68\) | 0.197785i | 0.0239850i | ||||||||
\(69\) | 0.325070 | 0.0391338 | ||||||||
\(70\) | 6.21317 | − | 7.27474i | 0.742616 | − | 0.869497i | ||||
\(71\) | −8.06064 | −0.956622 | −0.478311 | − | 0.878190i | \(-0.658751\pi\) | ||||
−0.478311 | + | 0.878190i | \(0.658751\pi\) | |||||||
\(72\) | 2.86286i | 0.337391i | ||||||||
\(73\) | 14.8079i | 1.73313i | 0.499061 | + | 0.866567i | \(0.333678\pi\) | ||||
−0.499061 | + | 0.866567i | \(0.666322\pi\) | |||||||
\(74\) | 5.87409 | 0.682849 | ||||||||
\(75\) | 1.82883 | − | 0.289670i | 0.211175 | − | 0.0334482i | ||||
\(76\) | 2.66000 | 0.305122 | ||||||||
\(77\) | 12.0332i | 1.37131i | ||||||||
\(78\) | − | 1.67909i | − | 0.190119i | ||||||
\(79\) | −1.97754 | −0.222491 | −0.111245 | − | 0.993793i | \(-0.535484\pi\) | ||||
−0.111245 | + | 0.993793i | \(0.535484\pi\) | |||||||
\(80\) | 1.45220 | − | 1.70032i | 0.162361 | − | 0.190102i | ||||
\(81\) | 7.78454 | 0.864948 | ||||||||
\(82\) | 8.99908i | 0.993782i | ||||||||
\(83\) | 0.554096i | 0.0608199i | 0.999538 | + | 0.0304100i | \(0.00968128\pi\) | ||||
−0.999538 | + | 0.0304100i | \(0.990319\pi\) | |||||||
\(84\) | 1.58442 | 0.172874 | ||||||||
\(85\) | −0.336299 | − | 0.287224i | −0.0364767 | − | 0.0311539i | ||||
\(86\) | −5.71033 | −0.615761 | ||||||||
\(87\) | 2.76727i | 0.296682i | ||||||||
\(88\) | 2.81252i | 0.299816i | ||||||||
\(89\) | −12.0532 | −1.27764 | −0.638820 | − | 0.769356i | \(-0.720577\pi\) | ||||
−0.638820 | + | 0.769356i | \(0.720577\pi\) | |||||||
\(90\) | −4.86779 | − | 4.15746i | −0.513110 | − | 0.438234i | ||||
\(91\) | 19.3988 | 2.03355 | ||||||||
\(92\) | 0.877793i | 0.0915163i | ||||||||
\(93\) | − | 0.370326i | − | 0.0384010i | ||||||
\(94\) | 10.0873 | 1.04042 | ||||||||
\(95\) | −3.86286 | + | 4.52285i | −0.396321 | + | 0.464035i | ||||
\(96\) | 0.370326 | 0.0377962 | ||||||||
\(97\) | 1.88287i | 0.191177i | 0.995421 | + | 0.0955883i | \(0.0304732\pi\) | ||||
−0.995421 | + | 0.0955883i | \(0.969527\pi\) | |||||||
\(98\) | 11.3051i | 1.14198i | ||||||||
\(99\) | 8.05186 | 0.809242 | ||||||||
\(100\) | 0.782203 | + | 4.93844i | 0.0782203 | + | 0.493844i | ||||
\(101\) | 14.8820 | 1.48081 | 0.740405 | − | 0.672161i | \(-0.234634\pi\) | ||||
0.740405 | + | 0.672161i | \(0.234634\pi\) | |||||||
\(102\) | − | 0.0732449i | − | 0.00725233i | ||||||
\(103\) | − | 13.0457i | − | 1.28543i | −0.766105 | − | 0.642716i | \(-0.777808\pi\) | ||
0.766105 | − | 0.642716i | \(-0.222192\pi\) | |||||||
\(104\) | 4.53408 | 0.444603 | ||||||||
\(105\) | −2.30090 | + | 2.69402i | −0.224545 | + | 0.262910i | ||||
\(106\) | 0.206568 | 0.0200637 | ||||||||
\(107\) | 0.103114i | 0.00996840i | 0.999988 | + | 0.00498420i | \(0.00158653\pi\) | ||||
−0.999988 | + | 0.00498420i | \(0.998413\pi\) | |||||||
\(108\) | − | 2.17117i | − | 0.208921i | ||||||
\(109\) | −10.1413 | −0.971360 | −0.485680 | − | 0.874137i | \(-0.661428\pi\) | ||||
−0.485680 | + | 0.874137i | \(0.661428\pi\) | |||||||
\(110\) | −4.78220 | − | 4.08436i | −0.455965 | − | 0.389429i | ||||
\(111\) | −2.17533 | −0.206473 | ||||||||
\(112\) | 4.27844i | 0.404275i | ||||||||
\(113\) | − | 8.91842i | − | 0.838975i | −0.907761 | − | 0.419487i | \(-0.862210\pi\) | ||
0.907761 | − | 0.419487i | \(-0.137790\pi\) | |||||||
\(114\) | −0.985065 | −0.0922598 | ||||||||
\(115\) | −1.49253 | − | 1.27474i | −0.139179 | − | 0.118870i | ||||
\(116\) | −7.47252 | −0.693806 | ||||||||
\(117\) | − | 12.9804i | − | 1.20004i | ||||||
\(118\) | 4.55688i | 0.419495i | ||||||||
\(119\) | 0.846211 | 0.0775721 | ||||||||
\(120\) | −0.537789 | + | 0.629674i | −0.0490932 | + | 0.0574811i | ||||
\(121\) | −3.08971 | −0.280882 | ||||||||
\(122\) | 5.96876i | 0.540386i | ||||||||
\(123\) | − | 3.33259i | − | 0.300490i | ||||||
\(124\) | 1.00000 | 0.0898027 | ||||||||
\(125\) | −9.53286 | − | 5.84162i | −0.852645 | − | 0.522491i | ||||
\(126\) | 12.2486 | 1.09119 | ||||||||
\(127\) | − | 2.56349i | − | 0.227473i | −0.993511 | − | 0.113736i | \(-0.963718\pi\) | ||
0.993511 | − | 0.113736i | \(-0.0362819\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | 2.11468 | 0.186187 | ||||||||
\(130\) | −6.58442 | + | 7.70941i | −0.577492 | + | 0.676160i | ||||
\(131\) | −8.72064 | −0.761926 | −0.380963 | − | 0.924590i | \(-0.624407\pi\) | ||||
−0.380963 | + | 0.924590i | \(0.624407\pi\) | |||||||
\(132\) | − | 1.04155i | − | 0.0906554i | ||||||
\(133\) | − | 11.3806i | − | 0.986826i | ||||||
\(134\) | −5.70571 | −0.492898 | ||||||||
\(135\) | 3.69169 | + | 3.15298i | 0.317730 | + | 0.271365i | ||||
\(136\) | 0.197785 | 0.0169599 | ||||||||
\(137\) | − | 9.12221i | − | 0.779363i | −0.920950 | − | 0.389681i | \(-0.872585\pi\) | ||
0.920950 | − | 0.389681i | \(-0.127415\pi\) | |||||||
\(138\) | − | 0.325070i | − | 0.0276718i | ||||||
\(139\) | −16.5407 | −1.40296 | −0.701481 | − | 0.712688i | \(-0.747478\pi\) | ||||
−0.701481 | + | 0.712688i | \(0.747478\pi\) | |||||||
\(140\) | −7.27474 | − | 6.21317i | −0.614827 | − | 0.525109i | ||||
\(141\) | −3.73557 | −0.314592 | ||||||||
\(142\) | 8.06064i | 0.676434i | ||||||||
\(143\) | − | 12.7522i | − | 1.06639i | ||||||
\(144\) | 2.86286 | 0.238572 | ||||||||
\(145\) | 10.8516 | − | 12.7057i | 0.901179 | − | 1.05515i | ||||
\(146\) | 14.8079 | 1.22551 | ||||||||
\(147\) | − | 4.18656i | − | 0.345301i | ||||||
\(148\) | − | 5.87409i | − | 0.482847i | ||||||
\(149\) | −14.2426 | −1.16680 | −0.583399 | − | 0.812186i | \(-0.698277\pi\) | ||||
−0.583399 | + | 0.812186i | \(0.698277\pi\) | |||||||
\(150\) | −0.289670 | − | 1.82883i | −0.0236515 | − | 0.149323i | ||||
\(151\) | 23.6632 | 1.92569 | 0.962843 | − | 0.270060i | \(-0.0870437\pi\) | ||||
0.962843 | + | 0.270060i | \(0.0870437\pi\) | |||||||
\(152\) | − | 2.66000i | − | 0.215754i | ||||||
\(153\) | − | 0.566231i | − | 0.0457770i | ||||||
\(154\) | 12.0332 | 0.969665 | ||||||||
\(155\) | −1.45220 | + | 1.70032i | −0.116644 | + | 0.136573i | ||||
\(156\) | −1.67909 | −0.134435 | ||||||||
\(157\) | − | 14.1970i | − | 1.13304i | −0.824047 | − | 0.566521i | \(-0.808289\pi\) | ||
0.824047 | − | 0.566521i | \(-0.191711\pi\) | |||||||
\(158\) | 1.97754i | 0.157325i | ||||||||
\(159\) | −0.0764976 | −0.00606666 | ||||||||
\(160\) | −1.70032 | − | 1.45220i | −0.134422 | − | 0.114807i | ||||
\(161\) | 3.75559 | 0.295982 | ||||||||
\(162\) | − | 7.78454i | − | 0.611611i | ||||||
\(163\) | − | 1.83128i | − | 0.143437i | −0.997425 | − | 0.0717183i | \(-0.977152\pi\) | ||
0.997425 | − | 0.0717183i | \(-0.0228483\pi\) | |||||||
\(164\) | 8.99908 | 0.702710 | ||||||||
\(165\) | 1.77097 | + | 1.51255i | 0.137870 | + | 0.117751i | ||||
\(166\) | 0.554096 | 0.0430062 | ||||||||
\(167\) | 18.6417i | 1.44254i | 0.692655 | + | 0.721269i | \(0.256441\pi\) | ||||
−0.692655 | + | 0.721269i | \(0.743559\pi\) | |||||||
\(168\) | − | 1.58442i | − | 0.122240i | ||||||
\(169\) | −7.55791 | −0.581378 | ||||||||
\(170\) | −0.287224 | + | 0.336299i | −0.0220291 | + | 0.0257929i | ||||
\(171\) | −7.61519 | −0.582348 | ||||||||
\(172\) | 5.71033i | 0.435409i | ||||||||
\(173\) | 12.1139i | 0.921001i | 0.887659 | + | 0.460500i | \(0.152330\pi\) | ||||
−0.887659 | + | 0.460500i | \(0.847670\pi\) | |||||||
\(174\) | 2.76727 | 0.209786 | ||||||||
\(175\) | 21.1288 | − | 3.34661i | 1.59719 | − | 0.252980i | ||||
\(176\) | 2.81252 | 0.212002 | ||||||||
\(177\) | − | 1.68753i | − | 0.126843i | ||||||
\(178\) | 12.0532i | 0.903428i | ||||||||
\(179\) | 21.6720 | 1.61984 | 0.809921 | − | 0.586539i | \(-0.199510\pi\) | ||||
0.809921 | + | 0.586539i | \(0.199510\pi\) | |||||||
\(180\) | −4.15746 | + | 4.86779i | −0.309879 | + | 0.362823i | ||||
\(181\) | 24.4151 | 1.81476 | 0.907381 | − | 0.420310i | \(-0.138079\pi\) | ||||
0.907381 | + | 0.420310i | \(0.138079\pi\) | |||||||
\(182\) | − | 19.3988i | − | 1.43794i | ||||||
\(183\) | − | 2.21039i | − | 0.163396i | ||||||
\(184\) | 0.877793 | 0.0647118 | ||||||||
\(185\) | 9.98785 | + | 8.53038i | 0.734321 | + | 0.627166i | ||||
\(186\) | −0.370326 | −0.0271536 | ||||||||
\(187\) | − | 0.556275i | − | 0.0406789i | ||||||
\(188\) | − | 10.0873i | − | 0.735689i | ||||||
\(189\) | −9.28922 | −0.675691 | ||||||||
\(190\) | 4.52285 | + | 3.86286i | 0.328122 | + | 0.280241i | ||||
\(191\) | −14.6035 | −1.05667 | −0.528336 | − | 0.849035i | \(-0.677184\pi\) | ||||
−0.528336 | + | 0.849035i | \(0.677184\pi\) | |||||||
\(192\) | − | 0.370326i | − | 0.0267260i | ||||||
\(193\) | − | 25.0839i | − | 1.80558i | −0.430083 | − | 0.902789i | \(-0.641516\pi\) | ||
0.430083 | − | 0.902789i | \(-0.358484\pi\) | |||||||
\(194\) | 1.88287 | 0.135182 | ||||||||
\(195\) | 2.43838 | − | 2.85499i | 0.174616 | − | 0.204450i | ||||
\(196\) | 11.3051 | 0.807504 | ||||||||
\(197\) | 11.5672i | 0.824128i | 0.911155 | + | 0.412064i | \(0.135192\pi\) | ||||
−0.911155 | + | 0.412064i | \(0.864808\pi\) | |||||||
\(198\) | − | 8.05186i | − | 0.572221i | ||||||
\(199\) | −0.518696 | −0.0367694 | −0.0183847 | − | 0.999831i | \(-0.505852\pi\) | ||||
−0.0183847 | + | 0.999831i | \(0.505852\pi\) | |||||||
\(200\) | 4.93844 | − | 0.782203i | 0.349200 | − | 0.0553101i | ||||
\(201\) | 2.11297 | 0.149037 | ||||||||
\(202\) | − | 14.8820i | − | 1.04709i | ||||||
\(203\) | 31.9707i | 2.24391i | ||||||||
\(204\) | −0.0732449 | −0.00512817 | ||||||||
\(205\) | −13.0685 | + | 15.3014i | −0.912744 | + | 1.06869i | ||||
\(206\) | −13.0457 | −0.908938 | ||||||||
\(207\) | − | 2.51300i | − | 0.174665i | ||||||
\(208\) | − | 4.53408i | − | 0.314382i | ||||||
\(209\) | −7.48130 | −0.517493 | ||||||||
\(210\) | 2.69402 | + | 2.30090i | 0.185905 | + | 0.158777i | ||||
\(211\) | −20.2626 | −1.39493 | −0.697467 | − | 0.716617i | \(-0.745690\pi\) | ||||
−0.697467 | + | 0.716617i | \(0.745690\pi\) | |||||||
\(212\) | − | 0.206568i | − | 0.0141872i | ||||||
\(213\) | − | 2.98507i | − | 0.204533i | ||||||
\(214\) | 0.103114 | 0.00704872 | ||||||||
\(215\) | −9.70941 | − | 8.29257i | −0.662176 | − | 0.565548i | ||||
\(216\) | −2.17117 | −0.147729 | ||||||||
\(217\) | − | 4.27844i | − | 0.290439i | ||||||
\(218\) | 10.1413i | 0.686855i | ||||||||
\(219\) | −5.48375 | −0.370557 | ||||||||
\(220\) | −4.08436 | + | 4.78220i | −0.275368 | + | 0.322416i | ||||
\(221\) | −0.896774 | −0.0603235 | ||||||||
\(222\) | 2.17533i | 0.145998i | ||||||||
\(223\) | − | 19.6166i | − | 1.31363i | −0.754054 | − | 0.656813i | \(-0.771904\pi\) | ||
0.754054 | − | 0.656813i | \(-0.228096\pi\) | |||||||
\(224\) | 4.27844 | 0.285865 | ||||||||
\(225\) | −2.23934 | − | 14.1380i | −0.149289 | − | 0.942536i | ||||
\(226\) | −8.91842 | −0.593245 | ||||||||
\(227\) | 19.2501i | 1.27767i | 0.769342 | + | 0.638837i | \(0.220584\pi\) | ||||
−0.769342 | + | 0.638837i | \(0.779416\pi\) | |||||||
\(228\) | 0.985065i | 0.0652376i | ||||||||
\(229\) | 23.1807 | 1.53182 | 0.765911 | − | 0.642947i | \(-0.222288\pi\) | ||||
0.765911 | + | 0.642947i | \(0.222288\pi\) | |||||||
\(230\) | −1.27474 | + | 1.49253i | −0.0840536 | + | 0.0984147i | ||||
\(231\) | −4.45621 | −0.293197 | ||||||||
\(232\) | 7.47252i | 0.490595i | ||||||||
\(233\) | 7.04155i | 0.461307i | 0.973036 | + | 0.230654i | \(0.0740864\pi\) | ||||
−0.973036 | + | 0.230654i | \(0.925914\pi\) | |||||||
\(234\) | −12.9804 | −0.848558 | ||||||||
\(235\) | 17.1516 | + | 14.6488i | 1.11885 | + | 0.955580i | ||||
\(236\) | 4.55688 | 0.296628 | ||||||||
\(237\) | − | 0.732335i | − | 0.0475703i | ||||||
\(238\) | − | 0.846211i | − | 0.0548517i | ||||||
\(239\) | 19.9908 | 1.29309 | 0.646547 | − | 0.762874i | \(-0.276212\pi\) | ||||
0.646547 | + | 0.762874i | \(0.276212\pi\) | |||||||
\(240\) | 0.629674 | + | 0.537789i | 0.0406453 | + | 0.0347141i | ||||
\(241\) | −22.7788 | −1.46731 | −0.733657 | − | 0.679520i | \(-0.762188\pi\) | ||||
−0.733657 | + | 0.679520i | \(0.762188\pi\) | |||||||
\(242\) | 3.08971i | 0.198614i | ||||||||
\(243\) | 9.39632i | 0.602774i | ||||||||
\(244\) | 5.96876 | 0.382111 | ||||||||
\(245\) | −16.4173 | + | 19.2223i | −1.04886 | + | 1.22807i | ||||
\(246\) | −3.33259 | −0.212478 | ||||||||
\(247\) | 12.0606i | 0.767400i | ||||||||
\(248\) | − | 1.00000i | − | 0.0635001i | ||||||
\(249\) | −0.205196 | −0.0130038 | ||||||||
\(250\) | −5.84162 | + | 9.53286i | −0.369457 | + | 0.602911i | ||||
\(251\) | 19.8050 | 1.25008 | 0.625040 | − | 0.780592i | \(-0.285083\pi\) | ||||
0.625040 | + | 0.780592i | \(0.285083\pi\) | |||||||
\(252\) | − | 12.2486i | − | 0.771588i | ||||||
\(253\) | − | 2.46881i | − | 0.155213i | ||||||
\(254\) | −2.56349 | −0.160847 | ||||||||
\(255\) | 0.106367 | − | 0.124540i | 0.00666094 | − | 0.00779900i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | − | 18.8826i | − | 1.17786i | −0.808183 | − | 0.588931i | \(-0.799549\pi\) | ||
0.808183 | − | 0.588931i | \(-0.200451\pi\) | |||||||
\(258\) | − | 2.11468i | − | 0.131654i | ||||||
\(259\) | −25.1319 | −1.56162 | ||||||||
\(260\) | 7.70941 | + | 6.58442i | 0.478117 | + | 0.408348i | ||||
\(261\) | 21.3928 | 1.32418 | ||||||||
\(262\) | 8.72064i | 0.538763i | ||||||||
\(263\) | 23.5411i | 1.45161i | 0.687901 | + | 0.725804i | \(0.258532\pi\) | ||||
−0.687901 | + | 0.725804i | \(0.741468\pi\) | |||||||
\(264\) | −1.04155 | −0.0641030 | ||||||||
\(265\) | 0.351233 | + | 0.299980i | 0.0215761 | + | 0.0184276i | ||||
\(266\) | −11.3806 | −0.697792 | ||||||||
\(267\) | − | 4.46362i | − | 0.273169i | ||||||
\(268\) | 5.70571i | 0.348531i | ||||||||
\(269\) | 0.0792837 | 0.00483401 | 0.00241701 | − | 0.999997i | \(-0.499231\pi\) | ||||
0.00241701 | + | 0.999997i | \(0.499231\pi\) | |||||||
\(270\) | 3.15298 | − | 3.69169i | 0.191884 | − | 0.224669i | ||||
\(271\) | −21.3508 | −1.29697 | −0.648483 | − | 0.761229i | \(-0.724596\pi\) | ||||
−0.648483 | + | 0.761229i | \(0.724596\pi\) | |||||||
\(272\) | − | 0.197785i | − | 0.0119925i | ||||||
\(273\) | 7.18388i | 0.434788i | ||||||||
\(274\) | −9.12221 | −0.551093 | ||||||||
\(275\) | −2.19996 | − | 13.8895i | −0.132663 | − | 0.837567i | ||||
\(276\) | −0.325070 | −0.0195669 | ||||||||
\(277\) | − | 1.24396i | − | 0.0747424i | −0.999301 | − | 0.0373712i | \(-0.988102\pi\) | ||
0.999301 | − | 0.0373712i | \(-0.0118984\pi\) | |||||||
\(278\) | 16.5407i | 0.992045i | ||||||||
\(279\) | −2.86286 | −0.171395 | ||||||||
\(280\) | −6.21317 | + | 7.27474i | −0.371308 | + | 0.434749i | ||||
\(281\) | 23.1818 | 1.38291 | 0.691456 | − | 0.722419i | \(-0.256970\pi\) | ||||
0.691456 | + | 0.722419i | \(0.256970\pi\) | |||||||
\(282\) | 3.73557i | 0.222450i | ||||||||
\(283\) | 19.3182i | 1.14834i | 0.818734 | + | 0.574172i | \(0.194676\pi\) | ||||
−0.818734 | + | 0.574172i | \(0.805324\pi\) | |||||||
\(284\) | 8.06064 | 0.478311 | ||||||||
\(285\) | −1.67493 | − | 1.43052i | −0.0992143 | − | 0.0847365i | ||||
\(286\) | −12.7522 | −0.754055 | ||||||||
\(287\) | − | 38.5020i | − | 2.27270i | ||||||
\(288\) | − | 2.86286i | − | 0.168696i | ||||||
\(289\) | 16.9609 | 0.997699 | ||||||||
\(290\) | −12.7057 | − | 10.8516i | −0.746105 | − | 0.637230i | ||||
\(291\) | −0.697276 | −0.0408750 | ||||||||
\(292\) | − | 14.8079i | − | 0.866567i | ||||||
\(293\) | − | 9.55455i | − | 0.558183i | −0.960265 | − | 0.279091i | \(-0.909967\pi\) | ||
0.960265 | − | 0.279091i | \(-0.0900332\pi\) | |||||||
\(294\) | −4.18656 | −0.244165 | ||||||||
\(295\) | −6.61753 | + | 7.74818i | −0.385287 | + | 0.451116i | ||||
\(296\) | −5.87409 | −0.341424 | ||||||||
\(297\) | 6.10647i | 0.354333i | ||||||||
\(298\) | 14.2426i | 0.825050i | ||||||||
\(299\) | −3.97999 | −0.230169 | ||||||||
\(300\) | −1.82883 | + | 0.289670i | −0.105588 | + | 0.0167241i | ||||
\(301\) | 24.4313 | 1.40820 | ||||||||
\(302\) | − | 23.6632i | − | 1.36167i | ||||||
\(303\) | 5.51117i | 0.316609i | ||||||||
\(304\) | −2.66000 | −0.152561 | ||||||||
\(305\) | −8.66786 | + | 10.1488i | −0.496320 | + | 0.581120i | ||||
\(306\) | −0.566231 | −0.0323692 | ||||||||
\(307\) | − | 16.8669i | − | 0.962645i | −0.876544 | − | 0.481323i | \(-0.840157\pi\) | ||
0.876544 | − | 0.481323i | \(-0.159843\pi\) | |||||||
\(308\) | − | 12.0332i | − | 0.685656i | ||||||
\(309\) | 4.83116 | 0.274835 | ||||||||
\(310\) | 1.70032 | + | 1.45220i | 0.0965719 | + | 0.0824797i | ||||
\(311\) | −8.12870 | −0.460936 | −0.230468 | − | 0.973080i | \(-0.574026\pi\) | ||||
−0.230468 | + | 0.973080i | \(0.574026\pi\) | |||||||
\(312\) | 1.67909i | 0.0950597i | ||||||||
\(313\) | 8.53362i | 0.482349i | 0.970482 | + | 0.241174i | \(0.0775325\pi\) | ||||
−0.970482 | + | 0.241174i | \(0.922467\pi\) | |||||||
\(314\) | −14.1970 | −0.801182 | ||||||||
\(315\) | 20.8265 | + | 17.7874i | 1.17344 | + | 1.00221i | ||||
\(316\) | 1.97754 | 0.111245 | ||||||||
\(317\) | 22.0588i | 1.23895i | 0.785018 | + | 0.619473i | \(0.212654\pi\) | ||||
−0.785018 | + | 0.619473i | \(0.787346\pi\) | |||||||
\(318\) | 0.0764976i | 0.00428977i | ||||||||
\(319\) | 21.0166 | 1.17671 | ||||||||
\(320\) | −1.45220 | + | 1.70032i | −0.0811807 | + | 0.0950510i | ||||
\(321\) | −0.0381858 | −0.00213132 | ||||||||
\(322\) | − | 3.75559i | − | 0.209291i | ||||||
\(323\) | 0.526107i | 0.0292734i | ||||||||
\(324\) | −7.78454 | −0.432474 | ||||||||
\(325\) | −22.3913 | + | 3.54657i | −1.24205 | + | 0.196728i | ||||
\(326\) | −1.83128 | −0.101425 | ||||||||
\(327\) | − | 3.75559i | − | 0.207684i | ||||||
\(328\) | − | 8.99908i | − | 0.496891i | ||||||
\(329\) | −43.1577 | −2.37936 | ||||||||
\(330\) | 1.51255 | − | 1.77097i | 0.0832629 | − | 0.0974889i | ||||
\(331\) | −35.4100 | −1.94631 | −0.973156 | − | 0.230147i | \(-0.926079\pi\) | ||||
−0.973156 | + | 0.230147i | \(0.926079\pi\) | |||||||
\(332\) | − | 0.554096i | − | 0.0304100i | ||||||
\(333\) | 16.8167i | 0.921549i | ||||||||
\(334\) | 18.6417 | 1.02003 | ||||||||
\(335\) | −9.70155 | − | 8.28585i | −0.530052 | − | 0.452704i | ||||
\(336\) | −1.58442 | −0.0864371 | ||||||||
\(337\) | 12.1827i | 0.663636i | 0.943343 | + | 0.331818i | \(0.107662\pi\) | ||||
−0.943343 | + | 0.331818i | \(0.892338\pi\) | |||||||
\(338\) | 7.55791i | 0.411096i | ||||||||
\(339\) | 3.30272 | 0.179379 | ||||||||
\(340\) | 0.336299 | + | 0.287224i | 0.0182384 | + | 0.0155769i | ||||
\(341\) | −2.81252 | −0.152307 | ||||||||
\(342\) | 7.61519i | 0.411782i | ||||||||
\(343\) | − | 18.4189i | − | 0.994529i | ||||||
\(344\) | 5.71033 | 0.307880 | ||||||||
\(345\) | 0.472068 | − | 0.552724i | 0.0254153 | − | 0.0297576i | ||||
\(346\) | 12.1139 | 0.651246 | ||||||||
\(347\) | − | 29.0561i | − | 1.55981i | −0.625895 | − | 0.779907i | \(-0.715266\pi\) | ||
0.625895 | − | 0.779907i | \(-0.284734\pi\) | |||||||
\(348\) | − | 2.76727i | − | 0.148341i | ||||||
\(349\) | −6.65014 | −0.355974 | −0.177987 | − | 0.984033i | \(-0.556958\pi\) | ||||
−0.177987 | + | 0.984033i | \(0.556958\pi\) | |||||||
\(350\) | −3.34661 | − | 21.1288i | −0.178884 | − | 1.12938i | ||||
\(351\) | 9.84426 | 0.525448 | ||||||||
\(352\) | − | 2.81252i | − | 0.149908i | ||||||
\(353\) | 4.37414i | 0.232812i | 0.993202 | + | 0.116406i | \(0.0371374\pi\) | ||||
−0.993202 | + | 0.116406i | \(0.962863\pi\) | |||||||
\(354\) | −1.68753 | −0.0896913 | ||||||||
\(355\) | −11.7057 | + | 13.7057i | −0.621274 | + | 0.727423i | ||||
\(356\) | 12.0532 | 0.638820 | ||||||||
\(357\) | 0.313374i | 0.0165855i | ||||||||
\(358\) | − | 21.6720i | − | 1.14540i | ||||||
\(359\) | 8.42463 | 0.444635 | 0.222318 | − | 0.974974i | \(-0.428638\pi\) | ||||
0.222318 | + | 0.974974i | \(0.428638\pi\) | |||||||
\(360\) | 4.86779 | + | 4.15746i | 0.256555 | + | 0.219117i | ||||
\(361\) | −11.9244 | −0.627601 | ||||||||
\(362\) | − | 24.4151i | − | 1.28323i | ||||||
\(363\) | − | 1.14420i | − | 0.0600548i | ||||||
\(364\) | −19.3988 | −1.01677 | ||||||||
\(365\) | 25.1782 | + | 21.5041i | 1.31789 | + | 1.12558i | ||||
\(366\) | −2.21039 | −0.115539 | ||||||||
\(367\) | 23.0748i | 1.20449i | 0.798310 | + | 0.602247i | \(0.205728\pi\) | ||||
−0.798310 | + | 0.602247i | \(0.794272\pi\) | |||||||
\(368\) | − | 0.877793i | − | 0.0457581i | ||||||
\(369\) | −25.7631 | −1.34117 | ||||||||
\(370\) | 8.53038 | − | 9.98785i | 0.443473 | − | 0.519244i | ||||
\(371\) | −0.883790 | −0.0458841 | ||||||||
\(372\) | 0.370326i | 0.0192005i | ||||||||
\(373\) | 29.9809i | 1.55235i | 0.630516 | + | 0.776176i | \(0.282843\pi\) | ||||
−0.630516 | + | 0.776176i | \(0.717157\pi\) | |||||||
\(374\) | −0.556275 | −0.0287643 | ||||||||
\(375\) | 2.16330 | − | 3.53027i | 0.111713 | − | 0.182302i | ||||
\(376\) | −10.0873 | −0.520211 | ||||||||
\(377\) | − | 33.8810i | − | 1.74496i | ||||||
\(378\) | 9.28922i | 0.477786i | ||||||||
\(379\) | 1.67990 | 0.0862905 | 0.0431452 | − | 0.999069i | \(-0.486262\pi\) | ||||
0.0431452 | + | 0.999069i | \(0.486262\pi\) | |||||||
\(380\) | 3.86286 | − | 4.52285i | 0.198160 | − | 0.232018i | ||||
\(381\) | 0.949325 | 0.0486354 | ||||||||
\(382\) | 14.6035i | 0.747181i | ||||||||
\(383\) | − | 11.1130i | − | 0.567846i | −0.958847 | − | 0.283923i | \(-0.908364\pi\) | ||
0.958847 | − | 0.283923i | \(-0.0916359\pi\) | |||||||
\(384\) | −0.370326 | −0.0188981 | ||||||||
\(385\) | 20.4604 | + | 17.4747i | 1.04276 | + | 0.890593i | ||||
\(386\) | −25.0839 | −1.27674 | ||||||||
\(387\) | − | 16.3479i | − | 0.831009i | ||||||
\(388\) | − | 1.88287i | − | 0.0955883i | ||||||
\(389\) | 22.1026 | 1.12065 | 0.560324 | − | 0.828273i | \(-0.310676\pi\) | ||||
0.560324 | + | 0.828273i | \(0.310676\pi\) | |||||||
\(390\) | −2.85499 | − | 2.43838i | −0.144568 | − | 0.123472i | ||||
\(391\) | −0.173614 | −0.00878005 | ||||||||
\(392\) | − | 11.3051i | − | 0.570992i | ||||||
\(393\) | − | 3.22948i | − | 0.162906i | ||||||
\(394\) | 11.5672 | 0.582747 | ||||||||
\(395\) | −2.87180 | + | 3.36246i | −0.144496 | + | 0.169184i | ||||
\(396\) | −8.05186 | −0.404621 | ||||||||
\(397\) | 9.80141i | 0.491919i | 0.969280 | + | 0.245959i | \(0.0791030\pi\) | ||||
−0.969280 | + | 0.245959i | \(0.920897\pi\) | |||||||
\(398\) | 0.518696i | 0.0259999i | ||||||||
\(399\) | 4.21454 | 0.210991 | ||||||||
\(400\) | −0.782203 | − | 4.93844i | −0.0391101 | − | 0.246922i | ||||
\(401\) | 14.1389 | 0.706061 | 0.353030 | − | 0.935612i | \(-0.385151\pi\) | ||||
0.353030 | + | 0.935612i | \(0.385151\pi\) | |||||||
\(402\) | − | 2.11297i | − | 0.105385i | ||||||
\(403\) | 4.53408i | 0.225859i | ||||||||
\(404\) | −14.8820 | −0.740405 | ||||||||
\(405\) | 11.3047 | − | 13.2362i | 0.561737 | − | 0.657714i | ||||
\(406\) | 31.9707 | 1.58668 | ||||||||
\(407\) | 16.5210i | 0.818916i | ||||||||
\(408\) | 0.0732449i | 0.00362616i | ||||||||
\(409\) | −9.05312 | −0.447648 | −0.223824 | − | 0.974630i | \(-0.571854\pi\) | ||||
−0.223824 | + | 0.974630i | \(0.571854\pi\) | |||||||
\(410\) | 15.3014 | + | 13.0685i | 0.755680 | + | 0.645408i | ||||
\(411\) | 3.37819 | 0.166634 | ||||||||
\(412\) | 13.0457i | 0.642716i | ||||||||
\(413\) | − | 19.4964i | − | 0.959353i | ||||||
\(414\) | −2.51300 | −0.123507 | ||||||||
\(415\) | 0.942142 | + | 0.804661i | 0.0462480 | + | 0.0394992i | ||||
\(416\) | −4.53408 | −0.222302 | ||||||||
\(417\) | − | 6.12545i | − | 0.299964i | ||||||
\(418\) | 7.48130i | 0.365923i | ||||||||
\(419\) | 24.5652 | 1.20009 | 0.600044 | − | 0.799967i | \(-0.295150\pi\) | ||||
0.600044 | + | 0.799967i | \(0.295150\pi\) | |||||||
\(420\) | 2.30090 | − | 2.69402i | 0.112272 | − | 0.131455i | ||||
\(421\) | −1.92431 | −0.0937851 | −0.0468926 | − | 0.998900i | \(-0.514932\pi\) | ||||
−0.0468926 | + | 0.998900i | \(0.514932\pi\) | |||||||
\(422\) | 20.2626i | 0.986367i | ||||||||
\(423\) | 28.8784i | 1.40412i | ||||||||
\(424\) | −0.206568 | −0.0100318 | ||||||||
\(425\) | −0.976749 | + | 0.154708i | −0.0473793 | + | 0.00750444i | ||||
\(426\) | −2.98507 | −0.144627 | ||||||||
\(427\) | − | 25.5370i | − | 1.23582i | ||||||
\(428\) | − | 0.103114i | − | 0.00498420i | ||||||
\(429\) | 4.72248 | 0.228003 | ||||||||
\(430\) | −8.29257 | + | 9.70941i | −0.399903 | + | 0.468229i | ||||
\(431\) | 22.4711 | 1.08240 | 0.541198 | − | 0.840895i | \(-0.317971\pi\) | ||||
0.541198 | + | 0.840895i | \(0.317971\pi\) | |||||||
\(432\) | 2.17117i | 0.104460i | ||||||||
\(433\) | − | 28.8079i | − | 1.38442i | −0.721696 | − | 0.692210i | \(-0.756637\pi\) | ||
0.721696 | − | 0.692210i | \(-0.243363\pi\) | |||||||
\(434\) | −4.27844 | −0.205372 | ||||||||
\(435\) | 4.70525 | + | 4.01864i | 0.225600 | + | 0.192679i | ||||
\(436\) | 10.1413 | 0.485680 | ||||||||
\(437\) | 2.33493i | 0.111695i | ||||||||
\(438\) | 5.48375i | 0.262024i | ||||||||
\(439\) | 11.3814 | 0.543207 | 0.271603 | − | 0.962409i | \(-0.412446\pi\) | ||||
0.271603 | + | 0.962409i | \(0.412446\pi\) | |||||||
\(440\) | 4.78220 | + | 4.08436i | 0.227983 | + | 0.194714i | ||||
\(441\) | −32.3648 | −1.54118 | ||||||||
\(442\) | 0.896774i | 0.0426552i | ||||||||
\(443\) | − | 5.48894i | − | 0.260787i | −0.991462 | − | 0.130394i | \(-0.958376\pi\) | ||
0.991462 | − | 0.130394i | \(-0.0416241\pi\) | |||||||
\(444\) | 2.17533 | 0.103236 | ||||||||
\(445\) | −17.5038 | + | 20.4944i | −0.829758 | + | 0.971528i | ||||
\(446\) | −19.6166 | −0.928873 | ||||||||
\(447\) | − | 5.27439i | − | 0.249470i | ||||||
\(448\) | − | 4.27844i | − | 0.202137i | ||||||
\(449\) | 11.7183 | 0.553021 | 0.276511 | − | 0.961011i | \(-0.410822\pi\) | ||||
0.276511 | + | 0.961011i | \(0.410822\pi\) | |||||||
\(450\) | −14.1380 | + | 2.23934i | −0.666474 | + | 0.105563i | ||||
\(451\) | −25.3101 | −1.19181 | ||||||||
\(452\) | 8.91842i | 0.419487i | ||||||||
\(453\) | 8.76311i | 0.411727i | ||||||||
\(454\) | 19.2501 | 0.903452 | ||||||||
\(455\) | 28.1710 | − | 32.9843i | 1.32068 | − | 1.54633i | ||||
\(456\) | 0.985065 | 0.0461299 | ||||||||
\(457\) | 19.6698i | 0.920116i | 0.887889 | + | 0.460058i | \(0.152171\pi\) | ||||
−0.887889 | + | 0.460058i | \(0.847829\pi\) | |||||||
\(458\) | − | 23.1807i | − | 1.08316i | ||||||
\(459\) | 0.429425 | 0.0200438 | ||||||||
\(460\) | 1.49253 | + | 1.27474i | 0.0695897 | + | 0.0594348i | ||||
\(461\) | 34.0577 | 1.58623 | 0.793113 | − | 0.609074i | \(-0.208459\pi\) | ||||
0.793113 | + | 0.609074i | \(0.208459\pi\) | |||||||
\(462\) | 4.45621i | 0.207322i | ||||||||
\(463\) | − | 16.0140i | − | 0.744234i | −0.928186 | − | 0.372117i | \(-0.878632\pi\) | ||
0.928186 | − | 0.372117i | \(-0.121368\pi\) | |||||||
\(464\) | 7.47252 | 0.346903 | ||||||||
\(465\) | −0.629674 | − | 0.537789i | −0.0292004 | − | 0.0249394i | ||||
\(466\) | 7.04155 | 0.326194 | ||||||||
\(467\) | − | 31.6506i | − | 1.46462i | −0.680973 | − | 0.732308i | \(-0.738443\pi\) | ||
0.680973 | − | 0.732308i | \(-0.261557\pi\) | |||||||
\(468\) | 12.9804i | 0.600021i | ||||||||
\(469\) | 24.4115 | 1.12722 | ||||||||
\(470\) | 14.6488 | − | 17.1516i | 0.675697 | − | 0.791145i | ||||
\(471\) | 5.25751 | 0.242253 | ||||||||
\(472\) | − | 4.55688i | − | 0.209747i | ||||||
\(473\) | − | 16.0604i | − | 0.738460i | ||||||
\(474\) | −0.732335 | −0.0336373 | ||||||||
\(475\) | 2.08066 | + | 13.1362i | 0.0954670 | + | 0.602731i | ||||
\(476\) | −0.846211 | −0.0387860 | ||||||||
\(477\) | 0.591376i | 0.0270772i | ||||||||
\(478\) | − | 19.9908i | − | 0.914356i | ||||||
\(479\) | −3.25751 | −0.148839 | −0.0744197 | − | 0.997227i | \(-0.523710\pi\) | ||||
−0.0744197 | + | 0.997227i | \(0.523710\pi\) | |||||||
\(480\) | 0.537789 | − | 0.629674i | 0.0245466 | − | 0.0287406i | ||||
\(481\) | 26.6336 | 1.21439 | ||||||||
\(482\) | 22.7788i | 1.03755i | ||||||||
\(483\) | 1.39079i | 0.0632832i | ||||||||
\(484\) | 3.08971 | 0.140441 | ||||||||
\(485\) | 3.20149 | + | 2.73431i | 0.145372 | + | 0.124159i | ||||
\(486\) | 9.39632 | 0.426226 | ||||||||
\(487\) | − | 40.0906i | − | 1.81668i | −0.418234 | − | 0.908340i | \(-0.637351\pi\) | ||
0.418234 | − | 0.908340i | \(-0.362649\pi\) | |||||||
\(488\) | − | 5.96876i | − | 0.270193i | ||||||
\(489\) | 0.678169 | 0.0306679 | ||||||||
\(490\) | 19.2223 | + | 16.4173i | 0.868373 | + | 0.741656i | ||||
\(491\) | −28.6488 | −1.29290 | −0.646450 | − | 0.762956i | \(-0.723747\pi\) | ||||
−0.646450 | + | 0.762956i | \(0.723747\pi\) | |||||||
\(492\) | 3.33259i | 0.150245i | ||||||||
\(493\) | − | 1.47795i | − | 0.0665636i | ||||||
\(494\) | 12.0606 | 0.542634 | ||||||||
\(495\) | 11.6929 | − | 13.6908i | 0.525559 | − | 0.615354i | ||||
\(496\) | −1.00000 | −0.0449013 | ||||||||
\(497\) | − | 34.4870i | − | 1.54695i | ||||||
\(498\) | 0.205196i | 0.00919506i | ||||||||
\(499\) | 18.5438 | 0.830135 | 0.415068 | − | 0.909791i | \(-0.363758\pi\) | ||||
0.415068 | + | 0.909791i | \(0.363758\pi\) | |||||||
\(500\) | 9.53286 | + | 5.84162i | 0.426322 | + | 0.261245i | ||||
\(501\) | −6.90350 | −0.308426 | ||||||||
\(502\) | − | 19.8050i | − | 0.883940i | ||||||
\(503\) | 38.4488i | 1.71435i | 0.515027 | + | 0.857174i | \(0.327782\pi\) | ||||
−0.515027 | + | 0.857174i | \(0.672218\pi\) | |||||||
\(504\) | −12.2486 | −0.545595 | ||||||||
\(505\) | 21.6116 | − | 25.3041i | 0.961705 | − | 1.12602i | ||||
\(506\) | −2.46881 | −0.109752 | ||||||||
\(507\) | − | 2.79889i | − | 0.124303i | ||||||
\(508\) | 2.56349i | 0.113736i | ||||||||
\(509\) | 38.6820 | 1.71455 | 0.857274 | − | 0.514860i | \(-0.172156\pi\) | ||||
0.857274 | + | 0.514860i | \(0.172156\pi\) | |||||||
\(510\) | −0.124540 | − | 0.106367i | −0.00551473 | − | 0.00470999i | ||||
\(511\) | −63.3547 | −2.80265 | ||||||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | − | 5.77530i | − | 0.254986i | ||||||
\(514\) | −18.8826 | −0.832874 | ||||||||
\(515\) | −22.1819 | − | 18.9450i | −0.977453 | − | 0.834818i | ||||
\(516\) | −2.11468 | −0.0930937 | ||||||||
\(517\) | 28.3707i | 1.24774i | ||||||||
\(518\) | 25.1319i | 1.10423i | ||||||||
\(519\) | −4.48608 | −0.196917 | ||||||||
\(520\) | 6.58442 | − | 7.70941i | 0.288746 | − | 0.338080i | ||||
\(521\) | −11.4945 | −0.503584 | −0.251792 | − | 0.967781i | \(-0.581020\pi\) | ||||
−0.251792 | + | 0.967781i | \(0.581020\pi\) | |||||||
\(522\) | − | 21.3928i | − | 0.936336i | ||||||
\(523\) | − | 7.48837i | − | 0.327444i | −0.986507 | − | 0.163722i | \(-0.947650\pi\) | ||
0.986507 | − | 0.163722i | \(-0.0523500\pi\) | |||||||
\(524\) | 8.72064 | 0.380963 | ||||||||
\(525\) | 1.23934 | + | 7.82455i | 0.0540890 | + | 0.341491i | ||||
\(526\) | 23.5411 | 1.02644 | ||||||||
\(527\) | 0.197785i | 0.00861565i | ||||||||
\(528\) | 1.04155i | 0.0453277i | ||||||||
\(529\) | 22.2295 | 0.966499 | ||||||||
\(530\) | 0.299980 | − | 0.351233i | 0.0130303 | − | 0.0152566i | ||||
\(531\) | −13.0457 | −0.566136 | ||||||||
\(532\) | 11.3806i | 0.493413i | ||||||||
\(533\) | 40.8026i | 1.76736i | ||||||||
\(534\) | −4.46362 | −0.193160 | ||||||||
\(535\) | 0.175327 | + | 0.149743i | 0.00758005 | + | 0.00647393i | ||||
\(536\) | 5.70571 | 0.246449 | ||||||||
\(537\) | 8.02571i | 0.346335i | ||||||||
\(538\) | − | 0.0792837i | − | 0.00341816i | ||||||
\(539\) | −31.7958 | −1.36954 | ||||||||
\(540\) | −3.69169 | − | 3.15298i | −0.158865 | − | 0.135683i | ||||
\(541\) | 14.3075 | 0.615128 | 0.307564 | − | 0.951527i | \(-0.400486\pi\) | ||||
0.307564 | + | 0.951527i | \(0.400486\pi\) | |||||||
\(542\) | 21.3508i | 0.917094i | ||||||||
\(543\) | 9.04155i | 0.388010i | ||||||||
\(544\) | −0.197785 | −0.00847996 | ||||||||
\(545\) | −14.7272 | + | 17.2435i | −0.630846 | + | 0.738630i | ||||
\(546\) | 7.18388 | 0.307442 | ||||||||
\(547\) | 11.8919i | 0.508462i | 0.967144 | + | 0.254231i | \(0.0818223\pi\) | ||||
−0.967144 | + | 0.254231i | \(0.918178\pi\) | |||||||
\(548\) | 9.12221i | 0.389681i | ||||||||
\(549\) | −17.0877 | −0.729286 | ||||||||
\(550\) | −13.8895 | + | 2.19996i | −0.592249 | + | 0.0938068i | ||||
\(551\) | −19.8769 | −0.846783 | ||||||||
\(552\) | 0.325070i | 0.0138359i | ||||||||
\(553\) | − | 8.46080i | − | 0.359790i | ||||||
\(554\) | −1.24396 | −0.0528508 | ||||||||
\(555\) | −3.15902 | + | 3.69876i | −0.134093 | + | 0.157004i | ||||
\(556\) | 16.5407 | 0.701481 | ||||||||
\(557\) | − | 10.9703i | − | 0.464826i | −0.972617 | − | 0.232413i | \(-0.925338\pi\) | ||
0.972617 | − | 0.232413i | \(-0.0746621\pi\) | |||||||
\(558\) | 2.86286i | 0.121194i | ||||||||
\(559\) | −25.8911 | −1.09508 | ||||||||
\(560\) | 7.27474 | + | 6.21317i | 0.307414 | + | 0.262554i | ||||
\(561\) | 0.206003 | 0.00869746 | ||||||||
\(562\) | − | 23.1818i | − | 0.977866i | ||||||
\(563\) | 3.76635i | 0.158733i | 0.996846 | + | 0.0793663i | \(0.0252897\pi\) | ||||
−0.996846 | + | 0.0793663i | \(0.974710\pi\) | |||||||
\(564\) | 3.73557 | 0.157296 | ||||||||
\(565\) | −15.1642 | − | 12.9514i | −0.637963 | − | 0.544869i | ||||
\(566\) | 19.3182 | 0.812003 | ||||||||
\(567\) | 33.3057i | 1.39871i | ||||||||
\(568\) | − | 8.06064i | − | 0.338217i | ||||||
\(569\) | 13.3107 | 0.558015 | 0.279008 | − | 0.960289i | \(-0.409995\pi\) | ||||
0.279008 | + | 0.960289i | \(0.409995\pi\) | |||||||
\(570\) | −1.43052 | + | 1.67493i | −0.0599178 | + | 0.0701551i | ||||
\(571\) | −14.6540 | −0.613249 | −0.306625 | − | 0.951831i | \(-0.599200\pi\) | ||||
−0.306625 | + | 0.951831i | \(0.599200\pi\) | |||||||
\(572\) | 12.7522i | 0.533197i | ||||||||
\(573\) | − | 5.40806i | − | 0.225925i | ||||||
\(574\) | −38.5020 | −1.60704 | ||||||||
\(575\) | −4.33493 | + | 0.686612i | −0.180779 | + | 0.0286337i | ||||
\(576\) | −2.86286 | −0.119286 | ||||||||
\(577\) | 1.56856i | 0.0653002i | 0.999467 | + | 0.0326501i | \(0.0103947\pi\) | ||||
−0.999467 | + | 0.0326501i | \(0.989605\pi\) | |||||||
\(578\) | − | 16.9609i | − | 0.705480i | ||||||
\(579\) | 9.28922 | 0.386047 | ||||||||
\(580\) | −10.8516 | + | 12.7057i | −0.450589 | + | 0.527576i | ||||
\(581\) | −2.37067 | −0.0983518 | ||||||||
\(582\) | 0.697276i | 0.0289030i | ||||||||
\(583\) | 0.580978i | 0.0240617i | ||||||||
\(584\) | −14.8079 | −0.612755 | ||||||||
\(585\) | −22.0710 | − | 18.8503i | −0.912522 | − | 0.779362i | ||||
\(586\) | −9.55455 | −0.394695 | ||||||||
\(587\) | − | 27.8374i | − | 1.14897i | −0.818514 | − | 0.574487i | \(-0.805202\pi\) | ||
0.818514 | − | 0.574487i | \(-0.194798\pi\) | |||||||
\(588\) | 4.18656i | 0.172651i | ||||||||
\(589\) | 2.66000 | 0.109603 | ||||||||
\(590\) | 7.74818 | + | 6.61753i | 0.318987 | + | 0.272439i | ||||
\(591\) | −4.28363 | −0.176205 | ||||||||
\(592\) | 5.87409i | 0.241424i | ||||||||
\(593\) | − | 7.78777i | − | 0.319806i | −0.987133 | − | 0.159903i | \(-0.948882\pi\) | ||
0.987133 | − | 0.159903i | \(-0.0511181\pi\) | |||||||
\(594\) | 6.10647 | 0.250551 | ||||||||
\(595\) | 1.22887 | − | 1.43883i | 0.0503789 | − | 0.0589864i | ||||
\(596\) | 14.2426 | 0.583399 | ||||||||
\(597\) | − | 0.192087i | − | 0.00786158i | ||||||
\(598\) | 3.97999i | 0.162754i | ||||||||
\(599\) | −20.4329 | −0.834868 | −0.417434 | − | 0.908707i | \(-0.637070\pi\) | ||||
−0.417434 | + | 0.908707i | \(0.637070\pi\) | |||||||
\(600\) | 0.289670 | + | 1.82883i | 0.0118257 | + | 0.0746617i | ||||
\(601\) | 2.23121 | 0.0910128 | 0.0455064 | − | 0.998964i | \(-0.485510\pi\) | ||||
0.0455064 | + | 0.998964i | \(0.485510\pi\) | |||||||
\(602\) | − | 24.4313i | − | 0.995746i | ||||||
\(603\) | − | 16.3346i | − | 0.665197i | ||||||
\(604\) | −23.6632 | −0.962843 | ||||||||
\(605\) | −4.48689 | + | 5.25350i | −0.182418 | + | 0.213585i | ||||
\(606\) | 5.51117 | 0.223876 | ||||||||
\(607\) | − | 21.3582i | − | 0.866902i | −0.901177 | − | 0.433451i | \(-0.857296\pi\) | ||
0.901177 | − | 0.433451i | \(-0.142704\pi\) | |||||||
\(608\) | 2.66000i | 0.107877i | ||||||||
\(609\) | −11.8396 | −0.479765 | ||||||||
\(610\) | 10.1488 | + | 8.66786i | 0.410914 | + | 0.350951i | ||||
\(611\) | 45.7365 | 1.85030 | ||||||||
\(612\) | 0.566231i | 0.0228885i | ||||||||
\(613\) | − | 25.5373i | − | 1.03144i | −0.856756 | − | 0.515721i | \(-0.827524\pi\) | ||
0.856756 | − | 0.515721i | \(-0.172476\pi\) | |||||||
\(614\) | −16.8669 | −0.680693 | ||||||||
\(615\) | −5.66649 | − | 4.83961i | −0.228495 | − | 0.195152i | ||||
\(616\) | −12.0332 | −0.484832 | ||||||||
\(617\) | 7.64751i | 0.307877i | 0.988080 | + | 0.153939i | \(0.0491958\pi\) | ||||
−0.988080 | + | 0.153939i | \(0.950804\pi\) | |||||||
\(618\) | − | 4.83116i | − | 0.194338i | ||||||
\(619\) | −19.5972 | −0.787676 | −0.393838 | − | 0.919180i | \(-0.628853\pi\) | ||||
−0.393838 | + | 0.919180i | \(0.628853\pi\) | |||||||
\(620\) | 1.45220 | − | 1.70032i | 0.0583219 | − | 0.0682867i | ||||
\(621\) | 1.90584 | 0.0764786 | ||||||||
\(622\) | 8.12870i | 0.325931i | ||||||||
\(623\) | − | 51.5690i | − | 2.06607i | ||||||
\(624\) | 1.67909 | 0.0672173 | ||||||||
\(625\) | −23.7763 | + | 7.72572i | −0.951053 | + | 0.309029i | ||||
\(626\) | 8.53362 | 0.341072 | ||||||||
\(627\) | − | 2.77052i | − | 0.110644i | ||||||
\(628\) | 14.1970i | 0.566521i | ||||||||
\(629\) | 1.16181 | 0.0463243 | ||||||||
\(630\) | 17.7874 | − | 20.8265i | 0.708668 | − | 0.829749i | ||||
\(631\) | 17.5038 | 0.696814 | 0.348407 | − | 0.937343i | \(-0.386723\pi\) | ||||
0.348407 | + | 0.937343i | \(0.386723\pi\) | |||||||
\(632\) | − | 1.97754i | − | 0.0786624i | ||||||
\(633\) | − | 7.50376i | − | 0.298248i | ||||||
\(634\) | 22.0588 | 0.876067 | ||||||||
\(635\) | −4.35876 | − | 3.72271i | −0.172972 | − | 0.147731i | ||||
\(636\) | 0.0764976 | 0.00303333 | ||||||||
\(637\) | 51.2581i | 2.03092i | ||||||||
\(638\) | − | 21.0166i | − | 0.832057i | ||||||
\(639\) | −23.0765 | −0.912892 | ||||||||
\(640\) | 1.70032 | + | 1.45220i | 0.0672112 | + | 0.0574034i | ||||
\(641\) | 18.9832 | 0.749792 | 0.374896 | − | 0.927067i | \(-0.377678\pi\) | ||||
0.374896 | + | 0.927067i | \(0.377678\pi\) | |||||||
\(642\) | 0.0381858i | 0.00150707i | ||||||||
\(643\) | − | 7.85904i | − | 0.309930i | −0.987920 | − | 0.154965i | \(-0.950473\pi\) | ||
0.987920 | − | 0.154965i | \(-0.0495265\pi\) | |||||||
\(644\) | −3.75559 | −0.147991 | ||||||||
\(645\) | 3.07095 | − | 3.59565i | 0.120919 | − | 0.141578i | ||||
\(646\) | 0.526107 | 0.0206994 | ||||||||
\(647\) | 42.4505i | 1.66890i | 0.551082 | + | 0.834451i | \(0.314215\pi\) | ||||
−0.551082 | + | 0.834451i | \(0.685785\pi\) | |||||||
\(648\) | 7.78454i | 0.305805i | ||||||||
\(649\) | −12.8163 | −0.503085 | ||||||||
\(650\) | 3.54657 | + | 22.3913i | 0.139108 | + | 0.878258i | ||||
\(651\) | 1.58442 | 0.0620982 | ||||||||
\(652\) | 1.83128i | 0.0717183i | ||||||||
\(653\) | 20.0881i | 0.786107i | 0.919516 | + | 0.393053i | \(0.128581\pi\) | ||||
−0.919516 | + | 0.393053i | \(0.871419\pi\) | |||||||
\(654\) | −3.75559 | −0.146855 | ||||||||
\(655\) | −12.6642 | + | 14.8279i | −0.494829 | + | 0.579374i | ||||
\(656\) | −8.99908 | −0.351355 | ||||||||
\(657\) | 42.3929i | 1.65391i | ||||||||
\(658\) | 43.1577i | 1.68246i | ||||||||
\(659\) | 43.1928 | 1.68255 | 0.841276 | − | 0.540605i | \(-0.181805\pi\) | ||||
0.841276 | + | 0.540605i | \(0.181805\pi\) | |||||||
\(660\) | −1.77097 | − | 1.51255i | −0.0689351 | − | 0.0588757i | ||||
\(661\) | 10.7458 | 0.417965 | 0.208982 | − | 0.977919i | \(-0.432985\pi\) | ||||
0.208982 | + | 0.977919i | \(0.432985\pi\) | |||||||
\(662\) | 35.4100i | 1.37625i | ||||||||
\(663\) | − | 0.332099i | − | 0.0128976i | ||||||
\(664\) | −0.554096 | −0.0215031 | ||||||||
\(665\) | −19.3508 | − | 16.5270i | −0.750391 | − | 0.640890i | ||||
\(666\) | 16.8167 | 0.651633 | ||||||||
\(667\) | − | 6.55933i | − | 0.253978i | ||||||
\(668\) | − | 18.6417i | − | 0.721269i | ||||||
\(669\) | 7.26454 | 0.280863 | ||||||||
\(670\) | −8.28585 | + | 9.70155i | −0.320110 | + | 0.374803i | ||||
\(671\) | −16.7873 | −0.648066 | ||||||||
\(672\) | 1.58442i | 0.0611202i | ||||||||
\(673\) | − | 48.3880i | − | 1.86522i | −0.360884 | − | 0.932611i | \(-0.617525\pi\) | ||
0.360884 | − | 0.932611i | \(-0.382475\pi\) | |||||||
\(674\) | 12.1827 | 0.469262 | ||||||||
\(675\) | 10.7222 | − | 1.69829i | 0.412697 | − | 0.0653674i | ||||
\(676\) | 7.55791 | 0.290689 | ||||||||
\(677\) | 17.4893i | 0.672168i | 0.941832 | + | 0.336084i | \(0.109103\pi\) | ||||
−0.941832 | + | 0.336084i | \(0.890897\pi\) | |||||||
\(678\) | − | 3.30272i | − | 0.126840i | ||||||
\(679\) | −8.05575 | −0.309151 | ||||||||
\(680\) | 0.287224 | − | 0.336299i | 0.0110145 | − | 0.0128965i | ||||
\(681\) | −7.12881 | −0.273177 | ||||||||
\(682\) | 2.81252i | 0.107697i | ||||||||
\(683\) | − | 10.4920i | − | 0.401463i | −0.979646 | − | 0.200732i | \(-0.935668\pi\) | ||
0.979646 | − | 0.200732i | \(-0.0643320\pi\) | |||||||
\(684\) | 7.61519 | 0.291174 | ||||||||
\(685\) | −15.5107 | − | 13.2473i | −0.592634 | − | 0.506154i | ||||
\(686\) | −18.4189 | −0.703238 | ||||||||
\(687\) | 8.58440i | 0.327515i | ||||||||
\(688\) | − | 5.71033i | − | 0.217704i | ||||||
\(689\) | 0.936598 | 0.0356815 | ||||||||
\(690\) | −0.552724 | − | 0.472068i | −0.0210418 | − | 0.0179713i | ||||
\(691\) | 2.24999 | 0.0855935 | 0.0427967 | − | 0.999084i | \(-0.486373\pi\) | ||||
0.0427967 | + | 0.999084i | \(0.486373\pi\) | |||||||
\(692\) | − | 12.1139i | − | 0.460500i | ||||||
\(693\) | 34.4494i | 1.30862i | ||||||||
\(694\) | −29.0561 | −1.10296 | ||||||||
\(695\) | −24.0205 | + | 28.1245i | −0.911148 | + | 1.06682i | ||||
\(696\) | −2.76727 | −0.104893 | ||||||||
\(697\) | 1.77988i | 0.0674179i | ||||||||
\(698\) | 6.65014i | 0.251711i | ||||||||
\(699\) | −2.60767 | −0.0986311 | ||||||||
\(700\) | −21.1288 | + | 3.34661i | −0.798594 | + | 0.126490i | ||||
\(701\) | −12.1951 | −0.460604 | −0.230302 | − | 0.973119i | \(-0.573971\pi\) | ||||
−0.230302 | + | 0.973119i | \(0.573971\pi\) | |||||||
\(702\) | − | 9.84426i | − | 0.371548i | ||||||
\(703\) | − | 15.6250i | − | 0.589310i | ||||||
\(704\) | −2.81252 | −0.106001 | ||||||||
\(705\) | −5.42482 | + | 6.35169i | −0.204310 | + | 0.239218i | ||||
\(706\) | 4.37414 | 0.164623 | ||||||||
\(707\) | 63.6716i | 2.39462i | ||||||||
\(708\) | 1.68753i | 0.0634213i | ||||||||
\(709\) | 10.6764 | 0.400961 | 0.200481 | − | 0.979698i | \(-0.435750\pi\) | ||||
0.200481 | + | 0.979698i | \(0.435750\pi\) | |||||||
\(710\) | 13.7057 | + | 11.7057i | 0.514366 | + | 0.439307i | ||||
\(711\) | −5.66142 | −0.212320 | ||||||||
\(712\) | − | 12.0532i | − | 0.451714i | ||||||
\(713\) | 0.877793i | 0.0328736i | ||||||||
\(714\) | 0.313374 | 0.0117277 | ||||||||
\(715\) | −21.6829 | − | 18.5188i | −0.810895 | − | 0.692565i | ||||
\(716\) | −21.6720 | −0.809921 | ||||||||
\(717\) | 7.40309i | 0.276474i | ||||||||
\(718\) | − | 8.42463i | − | 0.314404i | ||||||
\(719\) | 5.49146 | 0.204797 | 0.102398 | − | 0.994743i | \(-0.467348\pi\) | ||||
0.102398 | + | 0.994743i | \(0.467348\pi\) | |||||||
\(720\) | 4.15746 | − | 4.86779i | 0.154939 | − | 0.181412i | ||||
\(721\) | 55.8153 | 2.07867 | ||||||||
\(722\) | 11.9244i | 0.443781i | ||||||||
\(723\) | − | 8.43559i | − | 0.313723i | ||||||
\(724\) | −24.4151 | −0.907381 | ||||||||
\(725\) | −5.84503 | − | 36.9026i | −0.217079 | − | 1.37053i | ||||
\(726\) | −1.14420 | −0.0424652 | ||||||||
\(727\) | 27.0989i | 1.00504i | 0.864564 | + | 0.502522i | \(0.167594\pi\) | ||||
−0.864564 | + | 0.502522i | \(0.832406\pi\) | |||||||
\(728\) | 19.3988i | 0.718968i | ||||||||
\(729\) | 19.8739 | 0.736071 | ||||||||
\(730\) | 21.5041 | − | 25.1782i | 0.795903 | − | 0.931888i | ||||
\(731\) | −1.12942 | −0.0417730 | ||||||||
\(732\) | 2.21039i | 0.0816982i | ||||||||
\(733\) | 42.3891i | 1.56568i | 0.622226 | + | 0.782838i | \(0.286229\pi\) | ||||
−0.622226 | + | 0.782838i | \(0.713771\pi\) | |||||||
\(734\) | 23.0748 | 0.851705 | ||||||||
\(735\) | −7.11850 | − | 6.07974i | −0.262570 | − | 0.224254i | ||||
\(736\) | −0.877793 | −0.0323559 | ||||||||
\(737\) | − | 16.0474i | − | 0.591115i | ||||||
\(738\) | 25.7631i | 0.948353i | ||||||||
\(739\) | 2.05370 | 0.0755465 | 0.0377733 | − | 0.999286i | \(-0.487974\pi\) | ||||
0.0377733 | + | 0.999286i | \(0.487974\pi\) | |||||||
\(740\) | −9.98785 | − | 8.53038i | −0.367161 | − | 0.313583i | ||||
\(741\) | −4.46637 | −0.164076 | ||||||||
\(742\) | 0.883790i | 0.0324450i | ||||||||
\(743\) | − | 39.0597i | − | 1.43296i | −0.697606 | − | 0.716481i | \(-0.745752\pi\) | ||
0.697606 | − | 0.716481i | \(-0.254248\pi\) | |||||||
\(744\) | 0.370326 | 0.0135768 | ||||||||
\(745\) | −20.6831 | + | 24.2170i | −0.757771 | + | 0.887242i | ||||
\(746\) | 29.9809 | 1.09768 | ||||||||
\(747\) | 1.58630i | 0.0580396i | ||||||||
\(748\) | 0.556275i | 0.0203394i | ||||||||
\(749\) | −0.441167 | −0.0161199 | ||||||||
\(750\) | −3.53027 | − | 2.16330i | −0.128907 | − | 0.0789927i | ||||
\(751\) | −6.86549 | −0.250525 | −0.125263 | − | 0.992124i | \(-0.539977\pi\) | ||||
−0.125263 | + | 0.992124i | \(0.539977\pi\) | |||||||
\(752\) | 10.0873i | 0.367845i | ||||||||
\(753\) | 7.33431i | 0.267277i | ||||||||
\(754\) | −33.8810 | −1.23387 | ||||||||
\(755\) | 34.3639 | − | 40.2352i | 1.25063 | − | 1.46431i | ||||
\(756\) | 9.28922 | 0.337846 | ||||||||
\(757\) | − | 11.3406i | − | 0.412180i | −0.978533 | − | 0.206090i | \(-0.933926\pi\) | ||
0.978533 | − | 0.206090i | \(-0.0660740\pi\) | |||||||
\(758\) | − | 1.67990i | − | 0.0610166i | ||||||
\(759\) | 0.914266 | 0.0331858 | ||||||||
\(760\) | −4.52285 | − | 3.86286i | −0.164061 | − | 0.140121i | ||||
\(761\) | 4.58423 | 0.166178 | 0.0830891 | − | 0.996542i | \(-0.473521\pi\) | ||||
0.0830891 | + | 0.996542i | \(0.473521\pi\) | |||||||
\(762\) | − | 0.949325i | − | 0.0343904i | ||||||
\(763\) | − | 43.3890i | − | 1.57079i | ||||||
\(764\) | 14.6035 | 0.528336 | ||||||||
\(765\) | −0.962775 | − | 0.822283i | −0.0348092 | − | 0.0297297i | ||||
\(766\) | −11.1130 | −0.401527 | ||||||||
\(767\) | 20.6613i | 0.746036i | ||||||||
\(768\) | 0.370326i | 0.0133630i | ||||||||
\(769\) | −11.5710 | −0.417261 | −0.208631 | − | 0.977995i | \(-0.566901\pi\) | ||||
−0.208631 | + | 0.977995i | \(0.566901\pi\) | |||||||
\(770\) | 17.4747 | − | 20.4604i | 0.629744 | − | 0.737341i | ||||
\(771\) | 6.99270 | 0.251836 | ||||||||
\(772\) | 25.0839i | 0.902789i | ||||||||
\(773\) | 30.6711i | 1.10316i | 0.834121 | + | 0.551581i | \(0.185975\pi\) | ||||
−0.834121 | + | 0.551581i | \(0.814025\pi\) | |||||||
\(774\) | −16.3479 | −0.587612 | ||||||||
\(775\) | 0.782203 | + | 4.93844i | 0.0280976 | + | 0.177394i | ||||
\(776\) | −1.88287 | −0.0675911 | ||||||||
\(777\) | − | 9.30701i | − | 0.333887i | ||||||
\(778\) | − | 22.1026i | − | 0.792418i | ||||||
\(779\) | 23.9375 | 0.857651 | ||||||||
\(780\) | −2.43838 | + | 2.85499i | −0.0873080 | + | 0.102225i | ||||
\(781\) | −22.6708 | −0.811224 | ||||||||
\(782\) | 0.173614i | 0.00620844i | ||||||||
\(783\) | 16.2241i | 0.579802i | ||||||||
\(784\) | −11.3051 | −0.403752 | ||||||||
\(785\) | −24.1395 | − | 20.6169i | −0.861574 | − | 0.735849i | ||||
\(786\) | −3.22948 | −0.115192 | ||||||||
\(787\) | 10.4710i | 0.373251i | 0.982431 | + | 0.186625i | \(0.0597550\pi\) | ||||
−0.982431 | + | 0.186625i | \(0.940245\pi\) | |||||||
\(788\) | − | 11.5672i | − | 0.412064i | ||||||
\(789\) | −8.71790 | −0.310365 | ||||||||
\(790\) | 3.36246 | + | 2.87180i | 0.119631 | + | 0.102174i | ||||
\(791\) | 38.1570 | 1.35671 | ||||||||
\(792\) | 8.05186i | 0.286110i | ||||||||
\(793\) | 27.0629i | 0.961030i | ||||||||
\(794\) | 9.80141 | 0.347839 | ||||||||
\(795\) | −0.111090 | + | 0.130071i | −0.00393996 | + | 0.00461313i | ||||
\(796\) | 0.518696 | 0.0183847 | ||||||||
\(797\) | − | 32.9860i | − | 1.16842i | −0.811601 | − | 0.584212i | \(-0.801404\pi\) | ||
0.811601 | − | 0.584212i | \(-0.198596\pi\) | |||||||
\(798\) | − | 4.21454i | − | 0.149193i | ||||||
\(799\) | 1.99511 | 0.0705819 | ||||||||
\(800\) | −4.93844 | + | 0.782203i | −0.174600 | + | 0.0276550i | ||||
\(801\) | −34.5067 | −1.21923 | ||||||||
\(802\) | − | 14.1389i | − | 0.499260i | ||||||
\(803\) | 41.6476i | 1.46971i | ||||||||
\(804\) | −2.11297 | −0.0745187 | ||||||||
\(805\) | 5.45388 | − | 6.38571i | 0.192224 | − | 0.225067i | ||||
\(806\) | 4.53408 | 0.159706 | ||||||||
\(807\) | 0.0293608i | 0.00103355i | ||||||||
\(808\) | 14.8820i | 0.523545i | ||||||||
\(809\) | −36.6076 | −1.28705 | −0.643527 | − | 0.765423i | \(-0.722530\pi\) | ||||
−0.643527 | + | 0.765423i | \(0.722530\pi\) | |||||||
\(810\) | −13.2362 | − | 11.3047i | −0.465074 | − | 0.397208i | ||||
\(811\) | −41.2334 | −1.44790 | −0.723951 | − | 0.689851i | \(-0.757676\pi\) | ||||
−0.723951 | + | 0.689851i | \(0.757676\pi\) | |||||||
\(812\) | − | 31.9707i | − | 1.12195i | ||||||
\(813\) | − | 7.90674i | − | 0.277302i | ||||||
\(814\) | 16.5210 | 0.579061 | ||||||||
\(815\) | −3.11376 | − | 2.65939i | −0.109070 | − | 0.0931543i | ||||
\(816\) | 0.0732449 | 0.00256408 | ||||||||
\(817\) | 15.1895i | 0.531412i | ||||||||
\(818\) | 9.05312i | 0.316535i | ||||||||
\(819\) | 55.5360 | 1.94059 | ||||||||
\(820\) | 13.0685 | − | 15.3014i | 0.456372 | − | 0.534346i | ||||
\(821\) | 1.51560 | 0.0528947 | 0.0264474 | − | 0.999650i | \(-0.491581\pi\) | ||||
0.0264474 | + | 0.999650i | \(0.491581\pi\) | |||||||
\(822\) | − | 3.37819i | − | 0.117828i | ||||||
\(823\) | − | 9.48975i | − | 0.330792i | −0.986227 | − | 0.165396i | \(-0.947110\pi\) | ||
0.986227 | − | 0.165396i | \(-0.0528902\pi\) | |||||||
\(824\) | 13.0457 | 0.454469 | ||||||||
\(825\) | 5.14363 | − | 0.814704i | 0.179078 | − | 0.0283643i | ||||
\(826\) | −19.4964 | −0.678365 | ||||||||
\(827\) | 20.3371i | 0.707190i | 0.935399 | + | 0.353595i | \(0.115041\pi\) | ||||
−0.935399 | + | 0.353595i | \(0.884959\pi\) | |||||||
\(828\) | 2.51300i | 0.0873327i | ||||||||
\(829\) | 8.76509 | 0.304424 | 0.152212 | − | 0.988348i | \(-0.451360\pi\) | ||||
0.152212 | + | 0.988348i | \(0.451360\pi\) | |||||||
\(830\) | 0.804661 | − | 0.942142i | 0.0279302 | − | 0.0327022i | ||||
\(831\) | 0.460671 | 0.0159805 | ||||||||
\(832\) | 4.53408i | 0.157191i | ||||||||
\(833\) | 2.23597i | 0.0774718i | ||||||||
\(834\) | −6.12545 | −0.212107 | ||||||||
\(835\) | 31.6969 | + | 27.0716i | 1.09692 | + | 0.936850i | ||||
\(836\) | 7.48130 | 0.258746 | ||||||||
\(837\) | − | 2.17117i | − | 0.0750466i | ||||||
\(838\) | − | 24.5652i | − | 0.848591i | ||||||
\(839\) | 1.47196 | 0.0508175 | 0.0254088 | − | 0.999677i | \(-0.491911\pi\) | ||||
0.0254088 | + | 0.999677i | \(0.491911\pi\) | |||||||
\(840\) | −2.69402 | − | 2.30090i | −0.0929526 | − | 0.0793886i | ||||
\(841\) | 26.8386 | 0.925468 | ||||||||
\(842\) | 1.92431i | 0.0663161i | ||||||||
\(843\) | 8.58483i | 0.295677i | ||||||||
\(844\) | 20.2626 | 0.697467 | ||||||||
\(845\) | −10.9756 | + | 12.8509i | −0.377573 | + | 0.442084i | ||||
\(846\) | 28.8784 | 0.992860 | ||||||||
\(847\) | − | 13.2191i | − | 0.454214i | ||||||
\(848\) | 0.206568i | 0.00709359i | ||||||||
\(849\) | −7.15401 | −0.245525 | ||||||||
\(850\) | 0.154708 | + | 0.976749i | 0.00530644 | + | 0.0335022i | ||||
\(851\) | 5.15623 | 0.176753 | ||||||||
\(852\) | 2.98507i | 0.102267i | ||||||||
\(853\) | 32.0816i | 1.09845i | 0.835674 | + | 0.549226i | \(0.185077\pi\) | ||||
−0.835674 | + | 0.549226i | \(0.814923\pi\) | |||||||
\(854\) | −25.5370 | −0.873858 | ||||||||
\(855\) | −11.0588 | + | 12.9483i | −0.378204 | + | 0.442822i | ||||
\(856\) | −0.103114 | −0.00352436 | ||||||||
\(857\) | − | 37.1503i | − | 1.26903i | −0.772910 | − | 0.634516i | \(-0.781200\pi\) | ||
0.772910 | − | 0.634516i | \(-0.218800\pi\) | |||||||
\(858\) | − | 4.72248i | − | 0.161223i | ||||||
\(859\) | −8.95811 | −0.305647 | −0.152823 | − | 0.988254i | \(-0.548837\pi\) | ||||
−0.152823 | + | 0.988254i | \(0.548837\pi\) | |||||||
\(860\) | 9.70941 | + | 8.29257i | 0.331088 | + | 0.282774i | ||||
\(861\) | 14.2583 | 0.485922 | ||||||||
\(862\) | − | 22.4711i | − | 0.765370i | ||||||
\(863\) | 5.40970i | 0.184148i | 0.995752 | + | 0.0920741i | \(0.0293497\pi\) | ||||
−0.995752 | + | 0.0920741i | \(0.970650\pi\) | |||||||
\(864\) | 2.17117 | 0.0738647 | ||||||||
\(865\) | 20.5975 | + | 17.5918i | 0.700336 | + | 0.598140i | ||||
\(866\) | −28.8079 | −0.978932 | ||||||||
\(867\) | 6.28105i | 0.213316i | ||||||||
\(868\) | 4.27844i | 0.145220i | ||||||||
\(869\) | −5.56189 | −0.188674 | ||||||||
\(870\) | 4.01864 | − | 4.70525i | 0.136245 | − | 0.159523i | ||||
\(871\) | −25.8701 | −0.876576 | ||||||||
\(872\) | − | 10.1413i | − | 0.343428i | ||||||
\(873\) | 5.39039i | 0.182437i | ||||||||
\(874\) | 2.33493 | 0.0789801 | ||||||||
\(875\) | 24.9930 | − | 40.7858i | 0.844919 | − | 1.37881i | ||||
\(876\) | 5.48375 | 0.185279 | ||||||||
\(877\) | 17.6725i | 0.596757i | 0.954448 | + | 0.298379i | \(0.0964458\pi\) | ||||
−0.954448 | + | 0.298379i | \(0.903554\pi\) | |||||||
\(878\) | − | 11.3814i | − | 0.384105i | ||||||
\(879\) | 3.53830 | 0.119344 | ||||||||
\(880\) | 4.08436 | − | 4.78220i | 0.137684 | − | 0.161208i | ||||
\(881\) | 2.64487 | 0.0891081 | 0.0445540 | − | 0.999007i | \(-0.485813\pi\) | ||||
0.0445540 | + | 0.999007i | \(0.485813\pi\) | |||||||
\(882\) | 32.3648i | 1.08978i | ||||||||
\(883\) | − | 36.2706i | − | 1.22060i | −0.792170 | − | 0.610301i | \(-0.791049\pi\) | ||
0.792170 | − | 0.610301i | \(-0.208951\pi\) | |||||||
\(884\) | 0.896774 | 0.0301618 | ||||||||
\(885\) | −2.86935 | − | 2.45064i | −0.0964522 | − | 0.0823774i | ||||
\(886\) | −5.48894 | −0.184405 | ||||||||
\(887\) | 26.9316i | 0.904276i | 0.891948 | + | 0.452138i | \(0.149338\pi\) | ||||
−0.891948 | + | 0.452138i | \(0.850662\pi\) | |||||||
\(888\) | − | 2.17533i | − | 0.0729992i | ||||||
\(889\) | 10.9677 | 0.367846 | ||||||||
\(890\) | 20.4944 | + | 17.5038i | 0.686974 | + | 0.586727i | ||||
\(891\) | 21.8942 | 0.733483 | ||||||||
\(892\) | 19.6166i | 0.656813i | ||||||||
\(893\) | − | 26.8321i | − | 0.897901i | ||||||
\(894\) | −5.27439 | −0.176402 | ||||||||
\(895\) | 31.4722 | − | 36.8495i | 1.05200 | − | 1.23174i | ||||
\(896\) | −4.27844 | −0.142933 | ||||||||
\(897\) | − | 1.47389i | − | 0.0492118i | ||||||
\(898\) | − | 11.7183i | − | 0.391045i | ||||||
\(899\) | −7.47252 | −0.249223 | ||||||||
\(900\) | 2.23934 | + | 14.1380i | 0.0746445 | + | 0.471268i | ||||
\(901\) | 0.0408561 | 0.00136111 | ||||||||
\(902\) | 25.3101i | 0.842735i | ||||||||
\(903\) | 9.04755i | 0.301084i | ||||||||
\(904\) | 8.91842 | 0.296622 | ||||||||
\(905\) | 35.4557 | − | 41.5136i | 1.17859 | − | 1.37996i | ||||
\(906\) | 8.76311 | 0.291135 | ||||||||
\(907\) | 21.5247i | 0.714715i | 0.933968 | + | 0.357358i | \(0.116322\pi\) | ||||
−0.933968 | + | 0.357358i | \(0.883678\pi\) | |||||||
\(908\) | − | 19.2501i | − | 0.638837i | ||||||
\(909\) | 42.6049 | 1.41312 | ||||||||
\(910\) | −32.9843 | − | 28.1710i | −1.09342 | − | 0.933861i | ||||
\(911\) | 48.7212 | 1.61421 | 0.807103 | − | 0.590410i | \(-0.201034\pi\) | ||||
0.807103 | + | 0.590410i | \(0.201034\pi\) | |||||||
\(912\) | − | 0.985065i | − | 0.0326188i | ||||||
\(913\) | 1.55841i | 0.0515758i | ||||||||
\(914\) | 19.6698 | 0.650620 | ||||||||
\(915\) | −3.75837 | − | 3.20993i | −0.124248 | − | 0.106117i | ||||
\(916\) | −23.1807 | −0.765911 | ||||||||
\(917\) | − | 37.3107i | − | 1.23211i | ||||||
\(918\) | − | 0.429425i | − | 0.0141731i | ||||||
\(919\) | 25.3406 | 0.835910 | 0.417955 | − | 0.908468i | \(-0.362747\pi\) | ||||
0.417955 | + | 0.908468i | \(0.362747\pi\) | |||||||
\(920\) | 1.27474 | − | 1.49253i | 0.0420268 | − | 0.0492073i | ||||
\(921\) | 6.24625 | 0.205821 | ||||||||
\(922\) | − | 34.0577i | − | 1.12163i | ||||||
\(923\) | 36.5476i | 1.20298i | ||||||||
\(924\) | 4.45621 | 0.146599 | ||||||||
\(925\) | 29.0088 | − | 4.59473i | 0.953804 | − | 0.151074i | ||||
\(926\) | −16.0140 | −0.526253 | ||||||||
\(927\) | − | 37.3480i | − | 1.22667i | ||||||
\(928\) | − | 7.47252i | − | 0.245298i | ||||||
\(929\) | −42.3414 | −1.38918 | −0.694588 | − | 0.719408i | \(-0.744413\pi\) | ||||
−0.694588 | + | 0.719408i | \(0.744413\pi\) | |||||||
\(930\) | −0.537789 | + | 0.629674i | −0.0176348 | + | 0.0206478i | ||||
\(931\) | 30.0714 | 0.985551 | ||||||||
\(932\) | − | 7.04155i | − | 0.230654i | ||||||
\(933\) | − | 3.01027i | − | 0.0985517i | ||||||
\(934\) | −31.6506 | −1.03564 | ||||||||
\(935\) | −0.945848 | − | 0.807825i | −0.0309325 | − | 0.0264187i | ||||
\(936\) | 12.9804 | 0.424279 | ||||||||
\(937\) | − | 17.1119i | − | 0.559022i | −0.960142 | − | 0.279511i | \(-0.909828\pi\) | ||
0.960142 | − | 0.279511i | \(-0.0901724\pi\) | |||||||
\(938\) | − | 24.4115i | − | 0.797064i | ||||||
\(939\) | −3.16022 | −0.103130 | ||||||||
\(940\) | −17.1516 | − | 14.6488i | −0.559424 | − | 0.477790i | ||||
\(941\) | 10.0045 | 0.326137 | 0.163069 | − | 0.986615i | \(-0.447861\pi\) | ||||
0.163069 | + | 0.986615i | \(0.447861\pi\) | |||||||
\(942\) | − | 5.25751i | − | 0.171299i | ||||||
\(943\) | 7.89933i | 0.257238i | ||||||||
\(944\) | −4.55688 | −0.148314 | ||||||||
\(945\) | −13.4898 | + | 15.7947i | −0.438825 | + | 0.513801i | ||||
\(946\) | −16.0604 | −0.522170 | ||||||||
\(947\) | 41.7436i | 1.35648i | 0.734839 | + | 0.678242i | \(0.237258\pi\) | ||||
−0.734839 | + | 0.678242i | \(0.762742\pi\) | |||||||
\(948\) | 0.732335i | 0.0237851i | ||||||||
\(949\) | 67.1403 | 2.17946 | ||||||||
\(950\) | 13.1362 | − | 2.08066i | 0.426195 | − | 0.0675054i | ||||
\(951\) | −8.16895 | −0.264896 | ||||||||
\(952\) | 0.846211i | 0.0274259i | ||||||||
\(953\) | 16.7473i | 0.542497i | 0.962509 | + | 0.271248i | \(0.0874365\pi\) | ||||
−0.962509 | + | 0.271248i | \(0.912564\pi\) | |||||||
\(954\) | 0.591376 | 0.0191465 | ||||||||
\(955\) | −21.2073 | + | 24.8307i | −0.686252 | + | 0.803503i | ||||
\(956\) | −19.9908 | −0.646547 | ||||||||
\(957\) | 7.78301i | 0.251589i | ||||||||
\(958\) | 3.25751i | 0.105245i | ||||||||
\(959\) | 39.0288 | 1.26031 | ||||||||
\(960\) | −0.629674 | − | 0.537789i | −0.0203226 | − | 0.0173571i | ||||
\(961\) | 1.00000 | 0.0322581 | ||||||||
\(962\) | − | 26.6336i | − | 0.858702i | ||||||
\(963\) | 0.295201i | 0.00951271i | ||||||||
\(964\) | 22.7788 | 0.733657 | ||||||||
\(965\) | −42.6507 | − | 36.4270i | −1.37298 | − | 1.17263i | ||||
\(966\) | 1.39079 | 0.0447480 | ||||||||
\(967\) | 2.16792i | 0.0697155i | 0.999392 | + | 0.0348577i | \(0.0110978\pi\) | ||||
−0.999392 | + | 0.0348577i | \(0.988902\pi\) | |||||||
\(968\) | − | 3.08971i | − | 0.0993069i | ||||||
\(969\) | −0.194831 | −0.00625888 | ||||||||
\(970\) | 2.73431 | − | 3.20149i | 0.0877935 | − | 0.102794i | ||||
\(971\) | −28.7397 | −0.922301 | −0.461151 | − | 0.887322i | \(-0.652563\pi\) | ||||
−0.461151 | + | 0.887322i | \(0.652563\pi\) | |||||||
\(972\) | − | 9.39632i | − | 0.301387i | ||||||
\(973\) | − | 70.7684i | − | 2.26873i | ||||||
\(974\) | −40.0906 | −1.28459 | ||||||||
\(975\) | −1.31339 | − | 8.29207i | −0.0420621 | − | 0.265559i | ||||
\(976\) | −5.96876 | −0.191055 | ||||||||
\(977\) | 2.81612i | 0.0900956i | 0.998985 | + | 0.0450478i | \(0.0143440\pi\) | ||||
−0.998985 | + | 0.0450478i | \(0.985656\pi\) | |||||||
\(978\) | − | 0.678169i | − | 0.0216855i | ||||||
\(979\) | −33.9000 | −1.08345 | ||||||||
\(980\) | 16.4173 | − | 19.2223i | 0.524430 | − | 0.614033i | ||||
\(981\) | −29.0331 | −0.926956 | ||||||||
\(982\) | 28.6488i | 0.914219i | ||||||||
\(983\) | − | 8.69493i | − | 0.277325i | −0.990340 | − | 0.138663i | \(-0.955720\pi\) | ||
0.990340 | − | 0.138663i | \(-0.0442804\pi\) | |||||||
\(984\) | 3.33259 | 0.106239 | ||||||||
\(985\) | 19.6680 | + | 16.7979i | 0.626674 | + | 0.535227i | ||||
\(986\) | −1.47795 | −0.0470676 | ||||||||
\(987\) | − | 15.9824i | − | 0.508726i | ||||||
\(988\) | − | 12.0606i | − | 0.383700i | ||||||
\(989\) | −5.01249 | −0.159388 | ||||||||
\(990\) | −13.6908 | − | 11.6929i | −0.435121 | − | 0.371626i | ||||
\(991\) | −57.3615 | −1.82215 | −0.911073 | − | 0.412244i | \(-0.864745\pi\) | ||||
−0.911073 | + | 0.412244i | \(0.864745\pi\) | |||||||
\(992\) | 1.00000i | 0.0317500i | ||||||||
\(993\) | − | 13.1133i | − | 0.416137i | ||||||
\(994\) | −34.4870 | −1.09386 | ||||||||
\(995\) | −0.753253 | + | 0.881952i | −0.0238797 | + | 0.0279597i | ||||
\(996\) | 0.205196 | 0.00650189 | ||||||||
\(997\) | − | 43.3782i | − | 1.37380i | −0.726751 | − | 0.686901i | \(-0.758971\pi\) | ||
0.726751 | − | 0.686901i | \(-0.241029\pi\) | |||||||
\(998\) | − | 18.5438i | − | 0.586994i | ||||||
\(999\) | −12.7536 | −0.403507 |
(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 | 310.2.b.a.249.3 | ✓ | 8 | |
3.2 | odd | 2 | 2790.2.d.m.559.6 | 8 | |||
4.3 | odd | 2 | 2480.2.d.d.1489.4 | 8 | |||
5.2 | odd | 4 | 1550.2.a.p.1.3 | 4 | |||
5.3 | odd | 4 | 1550.2.a.o.1.2 | 4 | |||
5.4 | even | 2 | inner | 310.2.b.a.249.6 | yes | 8 | |
15.14 | odd | 2 | 2790.2.d.m.559.2 | 8 | |||
20.19 | odd | 2 | 2480.2.d.d.1489.5 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
310.2.b.a.249.3 | ✓ | 8 | 1.1 | even | 1 | trivial | |
310.2.b.a.249.6 | yes | 8 | 5.4 | even | 2 | inner | |
1550.2.a.o.1.2 | 4 | 5.3 | odd | 4 | |||
1550.2.a.p.1.3 | 4 | 5.2 | odd | 4 | |||
2480.2.d.d.1489.4 | 8 | 4.3 | odd | 2 | |||
2480.2.d.d.1489.5 | 8 | 20.19 | odd | 2 | |||
2790.2.d.m.559.2 | 8 | 15.14 | odd | 2 | |||
2790.2.d.m.559.6 | 8 | 3.2 | odd | 2 |