Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [361,3,Mod(116,361)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(361, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("361.116");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 361 = 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 361.f (of order \(18\), degree \(6\), 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: | \(9.83653754341\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{18})\) |
Coefficient field: | 12.0.7659539263855005696.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 2197x^{6} + 4826809 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 19) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 307.1 | ||
Root | \(-2.31760 + 2.76201i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 361.307 |
Dual form | 361.3.f.d.127.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/361\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.31760 | + | 2.76201i | −1.15880 | + | 1.38101i | −0.247694 | + | 0.968838i | \(0.579673\pi\) |
−0.911108 | + | 0.412168i | \(0.864772\pi\) | |||||||
\(3\) | 1.23317 | + | 3.38811i | 0.411057 | + | 1.12937i | 0.956630 | + | 0.291306i | \(0.0940899\pi\) |
−0.545573 | + | 0.838063i | \(0.683688\pi\) | |||||||
\(4\) | −1.56283 | − | 8.86327i | −0.390708 | − | 2.21582i | ||||
\(5\) | 0.694593 | − | 3.93923i | 0.138919 | − | 0.787846i | −0.833132 | − | 0.553074i | \(-0.813455\pi\) |
0.972050 | − | 0.234772i | \(-0.0754343\pi\) | |||||||
\(6\) | −12.2160 | − | 4.44626i | −2.03600 | − | 0.741044i | ||||
\(7\) | 2.50000 | + | 4.33013i | 0.357143 | + | 0.618590i | 0.987482 | − | 0.157730i | \(-0.0504176\pi\) |
−0.630339 | + | 0.776320i | \(0.717084\pi\) | |||||||
\(8\) | 15.6125 | + | 9.01388i | 1.95156 | + | 1.12673i | ||||
\(9\) | −3.06418 | + | 2.57115i | −0.340464 | + | 0.285683i | ||||
\(10\) | 9.27041 | + | 11.0481i | 0.927041 | + | 1.10481i | ||||
\(11\) | 5.00000 | − | 8.66025i | 0.454545 | − | 0.787296i | −0.544116 | − | 0.839010i | \(-0.683135\pi\) |
0.998662 | + | 0.0517139i | \(0.0164684\pi\) | |||||||
\(12\) | 28.1025 | − | 16.2250i | 2.34187 | − | 1.35208i | ||||
\(13\) | 1.23317 | − | 3.38811i | 0.0948593 | − | 0.260624i | −0.883184 | − | 0.469027i | \(-0.844605\pi\) |
0.978043 | + | 0.208404i | \(0.0668268\pi\) | |||||||
\(14\) | −17.7539 | − | 3.13049i | −1.26813 | − | 0.223606i | ||||
\(15\) | 14.2031 | − | 2.50439i | 0.946873 | − | 0.166959i | ||||
\(16\) | −27.2511 | + | 9.91858i | −1.70319 | + | 0.619912i | ||||
\(17\) | 11.4907 | + | 9.64181i | 0.675922 | + | 0.567166i | 0.914811 | − | 0.403881i | \(-0.132339\pi\) |
−0.238890 | + | 0.971047i | \(0.576784\pi\) | |||||||
\(18\) | − | 14.4222i | − | 0.801234i | ||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | −36.0000 | −1.80000 | ||||||||
\(21\) | −11.5880 | + | 13.8101i | −0.551810 | + | 0.657622i | ||||
\(22\) | 12.3317 | + | 33.8811i | 0.560532 | + | 1.54005i | ||||
\(23\) | 6.07769 | + | 34.4683i | 0.264247 | + | 1.49862i | 0.771170 | + | 0.636629i | \(0.219672\pi\) |
−0.506923 | + | 0.861991i | \(0.669217\pi\) | |||||||
\(24\) | −11.2871 | + | 64.0125i | −0.470297 | + | 2.66719i | ||||
\(25\) | 8.45723 | + | 3.07818i | 0.338289 | + | 0.123127i | ||||
\(26\) | 6.50000 | + | 11.2583i | 0.250000 | + | 0.433013i | ||||
\(27\) | 15.6125 | + | 9.01388i | 0.578241 | + | 0.333847i | ||||
\(28\) | 34.4720 | − | 28.9254i | 1.23114 | − | 1.03305i | ||||
\(29\) | 11.5880 | + | 13.8101i | 0.399587 | + | 0.476209i | 0.927894 | − | 0.372844i | \(-0.121617\pi\) |
−0.528307 | + | 0.849053i | \(0.677173\pi\) | |||||||
\(30\) | −26.0000 | + | 45.0333i | −0.866667 | + | 1.50111i | ||||
\(31\) | −31.2250 | + | 18.0278i | −1.00726 | + | 0.581541i | −0.910388 | − | 0.413756i | \(-0.864216\pi\) |
−0.0968702 | + | 0.995297i | \(0.530883\pi\) | |||||||
\(32\) | 11.0985 | − | 30.4930i | 0.346829 | − | 0.952906i | ||||
\(33\) | 35.5077 | + | 6.26097i | 1.07599 | + | 0.189726i | ||||
\(34\) | −53.2616 | + | 9.39146i | −1.56652 | + | 0.276219i | ||||
\(35\) | 18.7939 | − | 6.84040i | 0.536967 | − | 0.195440i | ||||
\(36\) | 27.5776 | + | 23.1404i | 0.766044 | + | 0.642788i | ||||
\(37\) | − | 21.6333i | − | 0.584684i | −0.956314 | − | 0.292342i | \(-0.905565\pi\) | ||
0.956314 | − | 0.292342i | \(-0.0944346\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 13.0000 | 0.333333 | ||||||||
\(40\) | 46.3521 | − | 55.2403i | 1.15880 | − | 1.38101i | ||||
\(41\) | −12.3317 | − | 33.8811i | −0.300773 | − | 0.826368i | −0.994366 | − | 0.106001i | \(-0.966195\pi\) |
0.693593 | − | 0.720367i | \(-0.256027\pi\) | |||||||
\(42\) | −11.2871 | − | 64.0125i | −0.268741 | − | 1.52411i | ||||
\(43\) | −3.47296 | + | 19.6962i | −0.0807666 | + | 0.458050i | 0.917423 | + | 0.397912i | \(0.130265\pi\) |
−0.998190 | + | 0.0601379i | \(0.980846\pi\) | |||||||
\(44\) | −84.5723 | − | 30.7818i | −1.92210 | − | 0.699587i | ||||
\(45\) | 8.00000 | + | 13.8564i | 0.177778 | + | 0.307920i | ||||
\(46\) | −109.287 | − | 63.0971i | −2.37581 | − | 1.37168i | ||||
\(47\) | 7.66044 | − | 6.42788i | 0.162988 | − | 0.136763i | −0.557646 | − | 0.830079i | \(-0.688295\pi\) |
0.720634 | + | 0.693316i | \(0.243851\pi\) | |||||||
\(48\) | −67.2105 | − | 80.0984i | −1.40022 | − | 1.66872i | ||||
\(49\) | 12.0000 | − | 20.7846i | 0.244898 | − | 0.424176i | ||||
\(50\) | −28.1025 | + | 16.2250i | −0.562050 | + | 0.324500i | ||||
\(51\) | −18.4976 | + | 50.8216i | −0.362697 | + | 0.996503i | ||||
\(52\) | −31.9570 | − | 5.63488i | −0.614557 | − | 0.108363i | ||||
\(53\) | 74.5663 | − | 13.1480i | 1.40691 | − | 0.248076i | 0.581931 | − | 0.813238i | \(-0.302297\pi\) |
0.824980 | + | 0.565162i | \(0.191186\pi\) | |||||||
\(54\) | −61.0800 | + | 22.2313i | −1.13111 | + | 0.411691i | ||||
\(55\) | −30.6418 | − | 25.7115i | −0.557123 | − | 0.467482i | ||||
\(56\) | 90.1388i | 1.60962i | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −65.0000 | −1.12069 | ||||||||
\(59\) | −11.5880 | + | 13.8101i | −0.196407 | + | 0.234069i | −0.855255 | − | 0.518207i | \(-0.826600\pi\) |
0.658848 | + | 0.752276i | \(0.271044\pi\) | |||||||
\(60\) | −44.3942 | − | 121.972i | −0.739903 | − | 2.03287i | ||||
\(61\) | −6.94593 | − | 39.3923i | −0.113868 | − | 0.645776i | −0.987305 | − | 0.158838i | \(-0.949225\pi\) |
0.873437 | − | 0.486937i | \(-0.161886\pi\) | |||||||
\(62\) | 22.5743 | − | 128.025i | 0.364101 | − | 2.06492i | ||||
\(63\) | −18.7939 | − | 6.84040i | −0.298315 | − | 0.108578i | ||||
\(64\) | 0.500000 | + | 0.866025i | 0.00781250 | + | 0.0135316i | ||||
\(65\) | −12.4900 | − | 7.21110i | −0.192154 | − | 0.110940i | ||||
\(66\) | −99.5858 | + | 83.5624i | −1.50888 | + | 1.26610i | ||||
\(67\) | 25.4936 | + | 30.3821i | 0.380502 | + | 0.453465i | 0.921973 | − | 0.387255i | \(-0.126577\pi\) |
−0.541471 | + | 0.840720i | \(0.682132\pi\) | |||||||
\(68\) | 67.5000 | − | 116.913i | 0.992647 | − | 1.71932i | ||||
\(69\) | −109.287 | + | 63.0971i | −1.58388 | + | 0.914451i | ||||
\(70\) | −24.6634 | + | 67.7622i | −0.352335 | + | 0.968031i | ||||
\(71\) | 106.523 | + | 18.7829i | 1.50033 | + | 0.264548i | 0.862668 | − | 0.505770i | \(-0.168792\pi\) |
0.637659 | + | 0.770319i | \(0.279903\pi\) | |||||||
\(72\) | −71.0155 | + | 12.5219i | −0.986326 | + | 0.173916i | ||||
\(73\) | −98.6677 | + | 35.9121i | −1.35161 | + | 0.491947i | −0.913451 | − | 0.406949i | \(-0.866593\pi\) |
−0.438162 | + | 0.898896i | \(0.644370\pi\) | |||||||
\(74\) | 59.7515 | + | 50.1374i | 0.807452 | + | 0.677533i | ||||
\(75\) | 32.4500i | 0.432666i | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 50.0000 | 0.649351 | ||||||||
\(78\) | −30.1288 | + | 35.9062i | −0.386267 | + | 0.460335i | ||||
\(79\) | 12.3317 | + | 33.8811i | 0.156098 | + | 0.428875i | 0.992947 | − | 0.118558i | \(-0.0378273\pi\) |
−0.836849 | + | 0.547433i | \(0.815605\pi\) | |||||||
\(80\) | 20.1432 | + | 114.238i | 0.251790 | + | 1.42797i | ||||
\(81\) | −17.5385 | + | 99.4656i | −0.216524 | + | 1.22797i | ||||
\(82\) | 122.160 | + | 44.4626i | 1.48976 | + | 0.542227i | ||||
\(83\) | 20.0000 | + | 34.6410i | 0.240964 | + | 0.417362i | 0.960989 | − | 0.276586i | \(-0.0892031\pi\) |
−0.720025 | + | 0.693948i | \(0.755870\pi\) | |||||||
\(84\) | 140.512 | + | 81.1249i | 1.67277 | + | 0.965773i | ||||
\(85\) | 45.9627 | − | 38.5673i | 0.540737 | − | 0.453732i | ||||
\(86\) | −46.3521 | − | 55.2403i | −0.538978 | − | 0.642328i | ||||
\(87\) | −32.5000 | + | 56.2917i | −0.373563 | + | 0.647030i | ||||
\(88\) | 156.125 | − | 90.1388i | 1.77415 | − | 1.02430i | ||||
\(89\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(90\) | −56.8124 | − | 10.0176i | −0.631249 | − | 0.111306i | ||||
\(91\) | 17.7539 | − | 3.13049i | 0.195098 | − | 0.0344010i | ||||
\(92\) | 296.003 | − | 107.736i | 3.21743 | − | 1.17105i | ||||
\(93\) | −99.5858 | − | 83.5624i | −1.07081 | − | 0.898520i | ||||
\(94\) | 36.0555i | 0.383569i | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 117.000 | 1.21875 | ||||||||
\(97\) | −78.7985 | + | 93.9084i | −0.812356 | + | 0.968128i | −0.999900 | − | 0.0141281i | \(-0.995503\pi\) |
0.187544 | + | 0.982256i | \(0.439947\pi\) | |||||||
\(98\) | 29.5961 | + | 81.3146i | 0.302001 | + | 0.829741i | ||||
\(99\) | 6.94593 | + | 39.3923i | 0.0701609 | + | 0.397902i | ||||
\(100\) | 14.0655 | − | 79.7694i | 0.140655 | − | 0.797694i | ||||
\(101\) | 46.9846 | + | 17.1010i | 0.465194 | + | 0.169317i | 0.563974 | − | 0.825792i | \(-0.309272\pi\) |
−0.0987798 | + | 0.995109i | \(0.531494\pi\) | |||||||
\(102\) | −97.5000 | − | 168.875i | −0.955882 | − | 1.65564i | ||||
\(103\) | −49.9600 | − | 28.8444i | −0.485048 | − | 0.280043i | 0.237470 | − | 0.971395i | \(-0.423682\pi\) |
−0.722518 | + | 0.691352i | \(0.757015\pi\) | |||||||
\(104\) | 49.7929 | − | 41.7812i | 0.478778 | − | 0.401742i | ||||
\(105\) | 46.3521 | + | 55.2403i | 0.441448 | + | 0.526098i | ||||
\(106\) | −136.500 | + | 236.425i | −1.28774 | + | 2.23042i | ||||
\(107\) | 65.5725 | − | 37.8583i | 0.612827 | − | 0.353816i | −0.161244 | − | 0.986915i | \(-0.551551\pi\) |
0.774071 | + | 0.633099i | \(0.218217\pi\) | |||||||
\(108\) | 55.4927 | − | 152.465i | 0.513821 | − | 1.41171i | ||||
\(109\) | −195.293 | − | 34.4354i | −1.79168 | − | 0.315921i | −0.823711 | − | 0.567009i | \(-0.808100\pi\) |
−0.967964 | + | 0.251089i | \(0.919211\pi\) | |||||||
\(110\) | 142.031 | − | 25.0439i | 1.29119 | − | 0.227672i | ||||
\(111\) | 73.2960 | − | 26.6776i | 0.660325 | − | 0.240338i | ||||
\(112\) | −111.076 | − | 93.2042i | −0.991754 | − | 0.832180i | ||||
\(113\) | − | 122.589i | − | 1.08486i | −0.840102 | − | 0.542428i | \(-0.817505\pi\) | ||
0.840102 | − | 0.542428i | \(-0.182495\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 140.000 | 1.21739 | ||||||||
\(116\) | 104.292 | − | 124.291i | 0.899070 | − | 1.07147i | ||||
\(117\) | 4.93268 | + | 13.5524i | 0.0421597 | + | 0.115833i | ||||
\(118\) | −11.2871 | − | 64.0125i | −0.0956537 | − | 0.542479i | ||||
\(119\) | −13.0236 | + | 73.8606i | −0.109442 | + | 0.620677i | ||||
\(120\) | 244.320 | + | 88.9252i | 2.03600 | + | 0.741044i | ||||
\(121\) | 10.5000 | + | 18.1865i | 0.0867769 | + | 0.150302i | ||||
\(122\) | 124.900 | + | 72.1110i | 1.02377 | + | 0.591074i | ||||
\(123\) | 99.5858 | − | 83.5624i | 0.809640 | − | 0.679369i | ||||
\(124\) | 208.584 | + | 248.581i | 1.68213 | + | 2.00469i | ||||
\(125\) | 68.0000 | − | 117.779i | 0.544000 | − | 0.942236i | ||||
\(126\) | 62.4500 | − | 36.0555i | 0.495635 | − | 0.286155i | ||||
\(127\) | −44.3942 | + | 121.972i | −0.349560 | + | 0.960409i | 0.632949 | + | 0.774194i | \(0.281844\pi\) |
−0.982509 | + | 0.186215i | \(0.940378\pi\) | |||||||
\(128\) | 124.277 | + | 21.9134i | 0.970915 | + | 0.171199i | ||||
\(129\) | −71.0155 | + | 12.5219i | −0.550508 | + | 0.0970694i | ||||
\(130\) | 48.8640 | − | 17.7850i | 0.375877 | − | 0.136808i | ||||
\(131\) | 85.7970 | + | 71.9922i | 0.654939 | + | 0.549559i | 0.908565 | − | 0.417743i | \(-0.137179\pi\) |
−0.253626 | + | 0.967302i | \(0.581623\pi\) | |||||||
\(132\) | − | 324.500i | − | 2.45833i | ||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −143.000 | −1.06716 | ||||||||
\(135\) | 46.3521 | − | 55.2403i | 0.343349 | − | 0.409187i | ||||
\(136\) | 92.4878 | + | 254.108i | 0.680058 | + | 1.86844i | ||||
\(137\) | 21.7060 | + | 123.101i | 0.158438 | + | 0.898547i | 0.955575 | + | 0.294748i | \(0.0952358\pi\) |
−0.797137 | + | 0.603799i | \(0.793653\pi\) | |||||||
\(138\) | 79.0099 | − | 448.088i | 0.572536 | − | 3.24701i | ||||
\(139\) | −46.9846 | − | 17.1010i | −0.338019 | − | 0.123029i | 0.167433 | − | 0.985883i | \(-0.446452\pi\) |
−0.505452 | + | 0.862855i | \(0.668674\pi\) | |||||||
\(140\) | −90.0000 | − | 155.885i | −0.642857 | − | 1.11346i | ||||
\(141\) | 31.2250 | + | 18.0278i | 0.221454 | + | 0.127856i | ||||
\(142\) | −298.757 | + | 250.687i | −2.10392 | + | 1.76540i | ||||
\(143\) | −23.1760 | − | 27.6201i | −0.162070 | − | 0.193148i | ||||
\(144\) | 58.0000 | − | 100.459i | 0.402778 | − | 0.697632i | ||||
\(145\) | 62.4500 | − | 36.0555i | 0.430690 | − | 0.248659i | ||||
\(146\) | 129.483 | − | 355.752i | 0.886870 | − | 2.43665i | ||||
\(147\) | 85.2186 | + | 15.0263i | 0.579718 | + | 0.102220i | ||||
\(148\) | −191.742 | + | 33.8093i | −1.29555 | + | 0.228441i | ||||
\(149\) | −65.7785 | + | 23.9414i | −0.441466 | + | 0.160681i | −0.553183 | − | 0.833059i | \(-0.686587\pi\) |
0.111717 | + | 0.993740i | \(0.464365\pi\) | |||||||
\(150\) | −89.6272 | − | 75.2062i | −0.597515 | − | 0.501374i | ||||
\(151\) | 36.0555i | 0.238778i | 0.992848 | + | 0.119389i | \(0.0380936\pi\) | ||||
−0.992848 | + | 0.119389i | \(0.961906\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −60.0000 | −0.392157 | ||||||||
\(154\) | −115.880 | + | 138.101i | −0.752469 | + | 0.896757i | ||||
\(155\) | 49.3268 | + | 135.524i | 0.318238 | + | 0.874351i | ||||
\(156\) | −20.3168 | − | 115.223i | −0.130236 | − | 0.738606i | ||||
\(157\) | 1.73648 | − | 9.84808i | 0.0110604 | − | 0.0627266i | −0.978778 | − | 0.204923i | \(-0.934305\pi\) |
0.989838 | + | 0.142197i | \(0.0454166\pi\) | |||||||
\(158\) | −122.160 | − | 44.4626i | −0.773165 | − | 0.281409i | ||||
\(159\) | 136.500 | + | 236.425i | 0.858491 | + | 1.48695i | ||||
\(160\) | −112.410 | − | 64.8999i | −0.702562 | − | 0.405625i | ||||
\(161\) | −134.058 | + | 112.488i | −0.832657 | + | 0.698682i | ||||
\(162\) | −234.078 | − | 278.963i | −1.44493 | − | 1.72200i | ||||
\(163\) | 135.000 | − | 233.827i | 0.828221 | − | 1.43452i | −0.0712118 | − | 0.997461i | \(-0.522687\pi\) |
0.899433 | − | 0.437059i | \(-0.143980\pi\) | |||||||
\(164\) | −281.025 | + | 162.250i | −1.71357 | + | 0.989328i | ||||
\(165\) | 49.3268 | − | 135.524i | 0.298951 | − | 0.821360i | ||||
\(166\) | −142.031 | − | 25.0439i | −0.855608 | − | 0.150867i | ||||
\(167\) | −120.726 | + | 21.2873i | −0.722912 | + | 0.127469i | −0.522985 | − | 0.852342i | \(-0.675182\pi\) |
−0.199927 | + | 0.979811i | \(0.564071\pi\) | |||||||
\(168\) | −305.400 | + | 111.157i | −1.81786 | + | 0.661646i | ||||
\(169\) | 119.503 | + | 100.275i | 0.707118 | + | 0.593342i | ||||
\(170\) | 216.333i | 1.27255i | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 180.000 | 1.04651 | ||||||||
\(173\) | 78.7985 | − | 93.9084i | 0.455483 | − | 0.542823i | −0.488610 | − | 0.872502i | \(-0.662496\pi\) |
0.944093 | + | 0.329679i | \(0.106940\pi\) | |||||||
\(174\) | −80.1561 | − | 220.227i | −0.460667 | − | 1.26567i | ||||
\(175\) | 7.81417 | + | 44.3163i | 0.0446524 | + | 0.253236i | ||||
\(176\) | −50.3580 | + | 285.594i | −0.286125 | + | 1.62269i | ||||
\(177\) | −61.0800 | − | 22.2313i | −0.345085 | − | 0.125601i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −31.2250 | − | 18.0278i | −0.174441 | − | 0.100714i | 0.410237 | − | 0.911979i | \(-0.365446\pi\) |
−0.584678 | + | 0.811265i | \(0.698779\pi\) | |||||||
\(180\) | 110.310 | − | 92.5614i | 0.612836 | − | 0.514230i | ||||
\(181\) | 69.5281 | + | 82.8604i | 0.384133 | + | 0.457792i | 0.923114 | − | 0.384526i | \(-0.125635\pi\) |
−0.538981 | + | 0.842318i | \(0.681191\pi\) | |||||||
\(182\) | −32.5000 | + | 56.2917i | −0.178571 | + | 0.309295i | ||||
\(183\) | 124.900 | − | 72.1110i | 0.682513 | − | 0.394049i | ||||
\(184\) | −215.805 | + | 592.919i | −1.17285 | + | 3.22239i | ||||
\(185\) | −85.2186 | − | 15.0263i | −0.460641 | − | 0.0812234i | ||||
\(186\) | 461.601 | − | 81.3927i | 2.48172 | − | 0.437595i | ||||
\(187\) | 140.954 | − | 51.3030i | 0.753764 | − | 0.274348i | ||||
\(188\) | −68.9440 | − | 57.8509i | −0.366723 | − | 0.307717i | ||||
\(189\) | 90.1388i | 0.476925i | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 193.000 | 1.01047 | 0.505236 | − | 0.862981i | \(-0.331406\pi\) | ||||
0.505236 | + | 0.862981i | \(0.331406\pi\) | |||||||
\(192\) | −2.31760 | + | 2.76201i | −0.0120709 | + | 0.0143855i | ||||
\(193\) | −91.2547 | − | 250.720i | −0.472822 | − | 1.29907i | −0.915475 | − | 0.402375i | \(-0.868185\pi\) |
0.442653 | − | 0.896693i | \(-0.354037\pi\) | |||||||
\(194\) | −76.7525 | − | 435.285i | −0.395631 | − | 2.24374i | ||||
\(195\) | 9.02971 | − | 51.2100i | 0.0463062 | − | 0.262615i | ||||
\(196\) | −202.974 | − | 73.8764i | −1.03558 | − | 0.376920i | ||||
\(197\) | −45.0000 | − | 77.9423i | −0.228426 | − | 0.395646i | 0.728916 | − | 0.684604i | \(-0.240025\pi\) |
−0.957342 | + | 0.288958i | \(0.906691\pi\) | |||||||
\(198\) | −124.900 | − | 72.1110i | −0.630808 | − | 0.364197i | ||||
\(199\) | 94.2235 | − | 79.0629i | 0.473485 | − | 0.397301i | −0.374579 | − | 0.927195i | \(-0.622213\pi\) |
0.848064 | + | 0.529894i | \(0.177768\pi\) | |||||||
\(200\) | 104.292 | + | 124.291i | 0.521461 | + | 0.621453i | ||||
\(201\) | −71.5000 | + | 123.842i | −0.355721 | + | 0.616128i | ||||
\(202\) | −156.125 | + | 90.1388i | −0.772896 | + | 0.446232i | ||||
\(203\) | −30.8293 | + | 84.7027i | −0.151868 | + | 0.417255i | ||||
\(204\) | 479.355 | + | 84.5232i | 2.34978 | + | 0.414329i | ||||
\(205\) | −142.031 | + | 25.0439i | −0.692834 | + | 0.122165i | ||||
\(206\) | 195.456 | − | 71.1402i | 0.948816 | − | 0.345341i | ||||
\(207\) | −107.246 | − | 89.9903i | −0.518098 | − | 0.434736i | ||||
\(208\) | 104.561i | 0.502697i | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −260.000 | −1.23810 | ||||||||
\(211\) | 150.644 | − | 179.531i | 0.713954 | − | 0.850857i | −0.280075 | − | 0.959978i | \(-0.590359\pi\) |
0.994028 | + | 0.109121i | \(0.0348037\pi\) | |||||||
\(212\) | −233.069 | − | 640.353i | −1.09938 | − | 3.02053i | ||||
\(213\) | 67.7228 | + | 384.075i | 0.317947 | + | 1.80317i | ||||
\(214\) | −47.4060 | + | 268.853i | −0.221523 | + | 1.25632i | ||||
\(215\) | 75.1754 | + | 27.3616i | 0.349653 | + | 0.127263i | ||||
\(216\) | 162.500 | + | 281.458i | 0.752315 | + | 1.30305i | ||||
\(217\) | −156.125 | − | 90.1388i | −0.719470 | − | 0.415386i | ||||
\(218\) | 547.722 | − | 459.593i | 2.51249 | − | 2.10823i | ||||
\(219\) | −243.348 | − | 290.011i | −1.11118 | − | 1.32425i | ||||
\(220\) | −180.000 | + | 311.769i | −0.818182 | + | 1.41713i | ||||
\(221\) | 46.8375 | − | 27.0416i | 0.211934 | − | 0.122360i | ||||
\(222\) | −96.1874 | + | 264.273i | −0.433276 | + | 1.19042i | ||||
\(223\) | −198.843 | − | 35.0615i | −0.891674 | − | 0.157226i | −0.291003 | − | 0.956722i | \(-0.593989\pi\) |
−0.600672 | + | 0.799496i | \(0.705100\pi\) | |||||||
\(224\) | 159.785 | − | 28.1744i | 0.713325 | − | 0.125778i | ||||
\(225\) | −33.8289 | + | 12.3127i | −0.150351 | + | 0.0547232i | ||||
\(226\) | 338.592 | + | 284.112i | 1.49819 | + | 1.25713i | ||||
\(227\) | 255.994i | 1.12773i | 0.825868 | + | 0.563864i | \(0.190686\pi\) | ||||
−0.825868 | + | 0.563864i | \(0.809314\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −160.000 | −0.698690 | −0.349345 | − | 0.936994i | \(-0.613596\pi\) | ||||
−0.349345 | + | 0.936994i | \(0.613596\pi\) | |||||||
\(230\) | −324.465 | + | 386.682i | −1.41072 | + | 1.68123i | ||||
\(231\) | 61.6586 | + | 169.405i | 0.266920 | + | 0.733357i | ||||
\(232\) | 56.4357 | + | 320.063i | 0.243257 | + | 1.37958i | ||||
\(233\) | −46.8850 | + | 265.898i | −0.201223 | + | 1.14119i | 0.702050 | + | 0.712128i | \(0.252268\pi\) |
−0.903273 | + | 0.429066i | \(0.858843\pi\) | |||||||
\(234\) | −48.8640 | − | 17.7850i | −0.208821 | − | 0.0760045i | ||||
\(235\) | −20.0000 | − | 34.6410i | −0.0851064 | − | 0.147409i | ||||
\(236\) | 140.512 | + | 81.1249i | 0.595392 | + | 0.343750i | ||||
\(237\) | −99.5858 | + | 83.5624i | −0.420193 | + | 0.352584i | ||||
\(238\) | −173.820 | − | 207.151i | −0.730337 | − | 0.870382i | ||||
\(239\) | −98.5000 | + | 170.607i | −0.412134 | + | 0.713837i | −0.995123 | − | 0.0986432i | \(-0.968550\pi\) |
0.582989 | + | 0.812480i | \(0.301883\pi\) | |||||||
\(240\) | −362.210 | + | 209.122i | −1.50921 | + | 0.871342i | ||||
\(241\) | 135.649 | − | 372.692i | 0.562858 | − | 1.54644i | −0.252568 | − | 0.967579i | \(-0.581275\pi\) |
0.815426 | − | 0.578861i | \(-0.196503\pi\) | |||||||
\(242\) | −74.5663 | − | 13.1480i | −0.308125 | − | 0.0543308i | ||||
\(243\) | −198.843 | + | 35.0615i | −0.818286 | + | 0.144286i | ||||
\(244\) | −338.289 | + | 123.127i | −1.38643 | + | 0.504620i | ||||
\(245\) | −73.5403 | − | 61.7076i | −0.300164 | − | 0.251868i | ||||
\(246\) | 468.722i | 1.90537i | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −650.000 | −2.62097 | ||||||||
\(249\) | −92.7041 | + | 110.481i | −0.372306 | + | 0.443697i | ||||
\(250\) | 167.711 | + | 460.783i | 0.670845 | + | 1.84313i | ||||
\(251\) | −69.8066 | − | 395.893i | −0.278114 | − | 1.57726i | −0.728894 | − | 0.684627i | \(-0.759965\pi\) |
0.450780 | − | 0.892635i | \(-0.351146\pi\) | |||||||
\(252\) | −31.2567 | + | 177.265i | −0.124034 | + | 0.703434i | ||||
\(253\) | 328.892 | + | 119.707i | 1.29997 | + | 0.473150i | ||||
\(254\) | −234.000 | − | 405.300i | −0.921260 | − | 1.59567i | ||||
\(255\) | 187.350 | + | 108.167i | 0.734706 | + | 0.424183i | ||||
\(256\) | −351.614 | + | 295.040i | −1.37349 | + | 1.15250i | ||||
\(257\) | −268.842 | − | 320.393i | −1.04608 | − | 1.24667i | −0.968325 | − | 0.249694i | \(-0.919670\pi\) |
−0.0777533 | − | 0.996973i | \(-0.524775\pi\) | |||||||
\(258\) | 130.000 | − | 225.167i | 0.503876 | − | 0.872739i | ||||
\(259\) | 93.6750 | − | 54.0833i | 0.361679 | − | 0.208816i | ||||
\(260\) | −44.3942 | + | 121.972i | −0.170747 | + | 0.469123i | ||||
\(261\) | −71.0155 | − | 12.5219i | −0.272090 | − | 0.0479768i | ||||
\(262\) | −397.687 | + | 70.1229i | −1.51789 | + | 0.267645i | ||||
\(263\) | −291.305 | + | 106.026i | −1.10762 | + | 0.403142i | −0.830121 | − | 0.557584i | \(-0.811729\pi\) |
−0.277502 | + | 0.960725i | \(0.589506\pi\) | |||||||
\(264\) | 497.929 | + | 417.812i | 1.88609 | + | 1.58262i | ||||
\(265\) | − | 302.866i | − | 1.14289i | ||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 229.443 | − | 273.439i | 0.856130 | − | 1.02030i | ||||
\(269\) | −36.9951 | − | 101.643i | −0.137528 | − | 0.377856i | 0.851740 | − | 0.523964i | \(-0.175547\pi\) |
−0.989269 | + | 0.146108i | \(0.953325\pi\) | |||||||
\(270\) | 45.1485 | + | 256.050i | 0.167217 | + | 0.948333i | ||||
\(271\) | 18.2331 | − | 103.405i | 0.0672807 | − | 0.381568i | −0.932511 | − | 0.361142i | \(-0.882387\pi\) |
0.999791 | − | 0.0204253i | \(-0.00650202\pi\) | |||||||
\(272\) | −408.766 | − | 148.779i | −1.50282 | − | 0.546981i | ||||
\(273\) | 32.5000 | + | 56.2917i | 0.119048 | + | 0.206197i | ||||
\(274\) | −390.312 | − | 225.347i | −1.42450 | − | 0.822434i | ||||
\(275\) | 68.9440 | − | 57.8509i | 0.250705 | − | 0.210367i | ||||
\(276\) | 730.045 | + | 870.034i | 2.64509 | + | 3.15230i | ||||
\(277\) | 25.0000 | − | 43.3013i | 0.0902527 | − | 0.156322i | −0.817365 | − | 0.576121i | \(-0.804566\pi\) |
0.907617 | + | 0.419798i | \(0.137899\pi\) | |||||||
\(278\) | 156.125 | − | 90.1388i | 0.561601 | − | 0.324240i | ||||
\(279\) | 49.3268 | − | 135.524i | 0.176799 | − | 0.485751i | ||||
\(280\) | 355.077 | + | 62.6097i | 1.26813 | + | 0.223606i | ||||
\(281\) | 284.062 | − | 50.0878i | 1.01090 | − | 0.178248i | 0.356416 | − | 0.934327i | \(-0.383999\pi\) |
0.654480 | + | 0.756079i | \(0.272887\pi\) | |||||||
\(282\) | −122.160 | + | 44.4626i | −0.433192 | + | 0.157669i | ||||
\(283\) | −245.134 | − | 205.692i | −0.866199 | − | 0.726827i | 0.0970955 | − | 0.995275i | \(-0.469045\pi\) |
−0.963294 | + | 0.268448i | \(0.913489\pi\) | |||||||
\(284\) | − | 973.499i | − | 3.42781i | ||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 130.000 | 0.454545 | ||||||||
\(287\) | 115.880 | − | 138.101i | 0.403764 | − | 0.481187i | ||||
\(288\) | 44.3942 | + | 121.972i | 0.154146 | + | 0.423514i | ||||
\(289\) | −11.1135 | − | 63.0277i | −0.0384550 | − | 0.218089i | ||||
\(290\) | −45.1485 | + | 256.050i | −0.155685 | + | 0.882931i | ||||
\(291\) | −415.344 | − | 151.173i | −1.42730 | − | 0.519495i | ||||
\(292\) | 472.500 | + | 818.394i | 1.61815 | + | 2.80272i | ||||
\(293\) | 190.472 | + | 109.969i | 0.650077 | + | 0.375322i | 0.788486 | − | 0.615053i | \(-0.210866\pi\) |
−0.138409 | + | 0.990375i | \(0.544199\pi\) | |||||||
\(294\) | −239.006 | + | 200.550i | −0.812945 | + | 0.682142i | ||||
\(295\) | 46.3521 | + | 55.2403i | 0.157126 | + | 0.187255i | ||||
\(296\) | 195.000 | − | 337.750i | 0.658784 | − | 1.14105i | ||||
\(297\) | 156.125 | − | 90.1388i | 0.525673 | − | 0.303498i | ||||
\(298\) | 86.3220 | − | 237.168i | 0.289671 | − | 0.795865i | ||||
\(299\) | 124.277 | + | 21.9134i | 0.415643 | + | 0.0732890i | ||||
\(300\) | 287.613 | − | 50.7139i | 0.958709 | − | 0.169046i | ||||
\(301\) | −93.9693 | + | 34.2020i | −0.312190 | + | 0.113628i | ||||
\(302\) | −99.5858 | − | 83.5624i | −0.329754 | − | 0.276697i | ||||
\(303\) | 180.278i | 0.594975i | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −160.000 | −0.524590 | ||||||||
\(306\) | 139.056 | − | 165.721i | 0.454432 | − | 0.541571i | ||||
\(307\) | −81.3893 | − | 223.615i | −0.265112 | − | 0.728388i | −0.998803 | − | 0.0489059i | \(-0.984427\pi\) |
0.733692 | − | 0.679483i | \(-0.237796\pi\) | |||||||
\(308\) | −78.1417 | − | 443.163i | −0.253707 | − | 1.43884i | ||||
\(309\) | 36.1188 | − | 204.840i | 0.116889 | − | 0.662913i | ||||
\(310\) | −488.640 | − | 177.850i | −1.57626 | − | 0.573711i | ||||
\(311\) | −197.500 | − | 342.080i | −0.635048 | − | 1.09994i | −0.986505 | − | 0.163732i | \(-0.947647\pi\) |
0.351457 | − | 0.936204i | \(-0.385686\pi\) | |||||||
\(312\) | 202.962 | + | 117.180i | 0.650521 | + | 0.375578i | ||||
\(313\) | 95.7556 | − | 80.3485i | 0.305928 | − | 0.256704i | −0.476878 | − | 0.878969i | \(-0.658232\pi\) |
0.782807 | + | 0.622265i | \(0.213787\pi\) | |||||||
\(314\) | 23.1760 | + | 27.6201i | 0.0738090 | + | 0.0879622i | ||||
\(315\) | −40.0000 | + | 69.2820i | −0.126984 | + | 0.219943i | ||||
\(316\) | 281.025 | − | 162.250i | 0.889319 | − | 0.513449i | ||||
\(317\) | 1.23317 | − | 3.38811i | 0.00389013 | − | 0.0106880i | −0.937732 | − | 0.347359i | \(-0.887079\pi\) |
0.941622 | + | 0.336671i | \(0.109301\pi\) | |||||||
\(318\) | −969.362 | − | 170.925i | −3.04831 | − | 0.537499i | ||||
\(319\) | 177.539 | − | 31.3049i | 0.556548 | − | 0.0981344i | ||||
\(320\) | 3.75877 | − | 1.36808i | 0.0117462 | − | 0.00427525i | ||||
\(321\) | 209.130 | + | 175.481i | 0.651496 | + | 0.546670i | ||||
\(322\) | − | 630.971i | − | 1.95954i | ||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 909.000 | 2.80556 | ||||||||
\(325\) | 20.8584 | − | 24.8581i | 0.0641798 | − | 0.0764865i | ||||
\(326\) | 332.956 | + | 914.790i | 1.02134 | + | 2.80610i | ||||
\(327\) | −124.158 | − | 704.138i | −0.379689 | − | 2.15333i | ||||
\(328\) | 112.871 | − | 640.125i | 0.344120 | − | 1.95160i | ||||
\(329\) | 46.9846 | + | 17.1010i | 0.142810 | + | 0.0519787i | ||||
\(330\) | 260.000 | + | 450.333i | 0.787879 | + | 1.36465i | ||||
\(331\) | 171.737 | + | 99.1527i | 0.518844 | + | 0.299555i | 0.736462 | − | 0.676479i | \(-0.236495\pi\) |
−0.217617 | + | 0.976034i | \(0.569829\pi\) | |||||||
\(332\) | 275.776 | − | 231.404i | 0.830651 | − | 0.696999i | ||||
\(333\) | 55.6225 | + | 66.2883i | 0.167034 | + | 0.199064i | ||||
\(334\) | 221.000 | − | 382.783i | 0.661677 | − | 1.14606i | ||||
\(335\) | 137.390 | − | 79.3221i | 0.410119 | − | 0.236782i | ||||
\(336\) | 178.810 | − | 491.276i | 0.532172 | − | 1.46213i | ||||
\(337\) | 56.8124 | + | 10.0176i | 0.168583 | + | 0.0297257i | 0.257302 | − | 0.966331i | \(-0.417166\pi\) |
−0.0887195 | + | 0.996057i | \(0.528277\pi\) | |||||||
\(338\) | −553.921 | + | 97.6712i | −1.63882 | + | 0.288968i | ||||
\(339\) | 415.344 | − | 151.173i | 1.22520 | − | 0.445938i | ||||
\(340\) | −413.664 | − | 347.105i | −1.21666 | − | 1.02090i | ||||
\(341\) | 360.555i | 1.05735i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 365.000 | 1.06414 | ||||||||
\(344\) | −231.760 | + | 276.201i | −0.673722 | + | 0.802911i | ||||
\(345\) | 172.644 | + | 474.335i | 0.500417 | + | 1.37489i | ||||
\(346\) | 76.7525 | + | 435.285i | 0.221828 | + | 1.25805i | ||||
\(347\) | −6.94593 | + | 39.3923i | −0.0200171 | + | 0.113523i | −0.993179 | − | 0.116598i | \(-0.962801\pi\) |
0.973162 | + | 0.230121i | \(0.0739121\pi\) | |||||||
\(348\) | 549.720 | + | 200.082i | 1.57966 | + | 0.574948i | ||||
\(349\) | −49.0000 | − | 84.8705i | −0.140401 | − | 0.243182i | 0.787247 | − | 0.616638i | \(-0.211506\pi\) |
−0.927648 | + | 0.373456i | \(0.878173\pi\) | |||||||
\(350\) | −140.512 | − | 81.1249i | −0.401464 | − | 0.231785i | ||||
\(351\) | 49.7929 | − | 41.7812i | 0.141860 | − | 0.119035i | ||||
\(352\) | −208.584 | − | 248.581i | −0.592569 | − | 0.706196i | ||||
\(353\) | 92.5000 | − | 160.215i | 0.262040 | − | 0.453866i | −0.704744 | − | 0.709462i | \(-0.748938\pi\) |
0.966784 | + | 0.255596i | \(0.0822715\pi\) | |||||||
\(354\) | 202.962 | − | 117.180i | 0.573340 | − | 0.331018i | ||||
\(355\) | 147.981 | − | 406.573i | 0.416847 | − | 1.14528i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −266.308 | + | 46.9573i | −0.745961 | + | 0.131533i | ||||
\(358\) | 122.160 | − | 44.4626i | 0.341229 | − | 0.124197i | ||||
\(359\) | −172.360 | − | 144.627i | −0.480111 | − | 0.402861i | 0.370355 | − | 0.928890i | \(-0.379236\pi\) |
−0.850467 | + | 0.526029i | \(0.823680\pi\) | |||||||
\(360\) | 288.444i | 0.801234i | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | −390.000 | −1.07735 | ||||||||
\(363\) | −48.6697 | + | 58.0023i | −0.134076 | + | 0.159786i | ||||
\(364\) | −55.4927 | − | 152.465i | −0.152452 | − | 0.418860i | ||||
\(365\) | 72.9322 | + | 413.619i | 0.199814 | + | 1.13320i | ||||
\(366\) | −90.2971 | + | 512.100i | −0.246713 | + | 1.39918i | ||||
\(367\) | −46.9846 | − | 17.1010i | −0.128024 | − | 0.0465967i | 0.277214 | − | 0.960808i | \(-0.410589\pi\) |
−0.405237 | + | 0.914211i | \(0.632811\pi\) | |||||||
\(368\) | −507.500 | − | 879.016i | −1.37908 | − | 2.38863i | ||||
\(369\) | 124.900 | + | 72.1110i | 0.338482 | + | 0.195423i | ||||
\(370\) | 239.006 | − | 200.550i | 0.645962 | − | 0.542026i | ||||
\(371\) | 243.348 | + | 290.011i | 0.655926 | + | 0.781702i | ||||
\(372\) | −585.000 | + | 1013.25i | −1.57258 | + | 2.72379i | ||||
\(373\) | −377.822 | + | 218.136i | −1.01293 | + | 0.584815i | −0.912048 | − | 0.410084i | \(-0.865499\pi\) |
−0.100881 | + | 0.994899i | \(0.532166\pi\) | |||||||
\(374\) | −184.976 | + | 508.216i | −0.494587 | + | 1.35887i | ||||
\(375\) | 482.905 | + | 85.1492i | 1.28775 | + | 0.227065i | ||||
\(376\) | 177.539 | − | 31.3049i | 0.472178 | − | 0.0832576i | ||||
\(377\) | 61.0800 | − | 22.2313i | 0.162016 | − | 0.0589690i | ||||
\(378\) | −248.964 | − | 208.906i | −0.658636 | − | 0.552661i | ||||
\(379\) | − | 486.749i | − | 1.28430i | −0.766579 | − | 0.642150i | \(-0.778043\pi\) | ||
0.766579 | − | 0.642150i | \(-0.221957\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −468.000 | −1.22835 | ||||||||
\(382\) | −447.298 | + | 533.068i | −1.17094 | + | 1.39547i | ||||
\(383\) | −69.0576 | − | 189.734i | −0.180307 | − | 0.495389i | 0.816306 | − | 0.577619i | \(-0.196018\pi\) |
−0.996613 | + | 0.0822297i | \(0.973796\pi\) | |||||||
\(384\) | 79.0099 | + | 448.088i | 0.205755 | + | 1.16689i | ||||
\(385\) | 34.7296 | − | 196.962i | 0.0902068 | − | 0.511588i | ||||
\(386\) | 903.984 | + | 329.023i | 2.34193 | + | 0.852392i | ||||
\(387\) | −40.0000 | − | 69.2820i | −0.103359 | − | 0.179023i | ||||
\(388\) | 955.485 | + | 551.649i | 2.46259 | + | 1.42178i | ||||
\(389\) | −366.169 | + | 307.252i | −0.941309 | + | 0.789852i | −0.977813 | − | 0.209481i | \(-0.932822\pi\) |
0.0365035 | + | 0.999334i | \(0.488378\pi\) | |||||||
\(390\) | 120.515 | + | 143.625i | 0.309014 | + | 0.368268i | ||||
\(391\) | −262.500 | + | 454.663i | −0.671355 | + | 1.16282i | ||||
\(392\) | 374.700 | − | 216.333i | 0.955867 | − | 0.551870i | ||||
\(393\) | −138.115 | + | 379.468i | −0.351438 | + | 0.965568i | ||||
\(394\) | 319.570 | + | 56.3488i | 0.811091 | + | 0.143017i | ||||
\(395\) | 142.031 | − | 25.0439i | 0.359572 | − | 0.0634023i | ||||
\(396\) | 338.289 | − | 123.127i | 0.854266 | − | 0.310927i | ||||
\(397\) | 574.533 | + | 482.091i | 1.44719 | + | 1.21433i | 0.934601 | + | 0.355699i | \(0.115757\pi\) |
0.512587 | + | 0.858636i | \(0.328687\pi\) | |||||||
\(398\) | 443.483i | 1.11428i | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −261.000 | −0.652500 | ||||||||
\(401\) | 185.408 | − | 220.961i | 0.462365 | − | 0.551025i | −0.483602 | − | 0.875288i | \(-0.660672\pi\) |
0.945967 | + | 0.324263i | \(0.105116\pi\) | |||||||
\(402\) | −176.343 | − | 484.500i | −0.438665 | − | 1.20522i | ||||
\(403\) | 22.5743 | + | 128.025i | 0.0560155 | + | 0.317680i | ||||
\(404\) | 78.1417 | − | 443.163i | 0.193420 | − | 1.09694i | ||||
\(405\) | 379.636 | + | 138.176i | 0.937372 | + | 0.341176i | ||||
\(406\) | −162.500 | − | 281.458i | −0.400246 | − | 0.693247i | ||||
\(407\) | −187.350 | − | 108.167i | −0.460319 | − | 0.265765i | ||||
\(408\) | −746.893 | + | 626.718i | −1.83062 | + | 1.53607i | ||||
\(409\) | −23.1760 | − | 27.6201i | −0.0566651 | − | 0.0675309i | 0.736967 | − | 0.675928i | \(-0.236257\pi\) |
−0.793632 | + | 0.608397i | \(0.791813\pi\) | |||||||
\(410\) | 260.000 | − | 450.333i | 0.634146 | − | 1.09837i | ||||
\(411\) | −390.312 | + | 225.347i | −0.949665 | + | 0.548289i | ||||
\(412\) | −177.577 | + | 487.888i | −0.431011 | + | 1.18419i | ||||
\(413\) | −88.7694 | − | 15.6524i | −0.214938 | − | 0.0378994i | ||||
\(414\) | 497.108 | − | 87.6536i | 1.20075 | − | 0.211724i | ||||
\(415\) | 150.351 | − | 54.7232i | 0.362291 | − | 0.131863i | ||||
\(416\) | −89.6272 | − | 75.2062i | −0.215450 | − | 0.180784i | ||||
\(417\) | − | 180.278i | − | 0.432320i | ||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 112.000 | 0.267303 | 0.133652 | − | 0.991028i | \(-0.457330\pi\) | ||||
0.133652 | + | 0.991028i | \(0.457330\pi\) | |||||||
\(420\) | 417.169 | − | 497.162i | 0.993259 | − | 1.18372i | ||||
\(421\) | −215.805 | − | 592.919i | −0.512601 | − | 1.40836i | −0.878517 | − | 0.477711i | \(-0.841466\pi\) |
0.365916 | − | 0.930648i | \(-0.380756\pi\) | |||||||
\(422\) | 146.733 | + | 832.163i | 0.347708 | + | 1.97195i | ||||
\(423\) | −6.94593 | + | 39.3923i | −0.0164206 | + | 0.0931260i | ||||
\(424\) | 1282.68 | + | 466.857i | 3.02519 | + | 1.10108i | ||||
\(425\) | 67.5000 | + | 116.913i | 0.158824 | + | 0.275090i | ||||
\(426\) | −1217.77 | − | 703.082i | −2.85863 | − | 1.65043i | ||||
\(427\) | 153.209 | − | 128.558i | 0.358803 | − | 0.301071i | ||||
\(428\) | −438.027 | − | 522.020i | −1.02343 | − | 1.21967i | ||||
\(429\) | 65.0000 | − | 112.583i | 0.151515 | − | 0.262432i | ||||
\(430\) | −249.800 | + | 144.222i | −0.580930 | + | 0.335400i | ||||
\(431\) | −147.981 | + | 406.573i | −0.343342 | + | 0.943325i | 0.641075 | + | 0.767478i | \(0.278489\pi\) |
−0.984417 | + | 0.175847i | \(0.943734\pi\) | |||||||
\(432\) | −514.862 | − | 90.7841i | −1.19181 | − | 0.210148i | ||||
\(433\) | 724.358 | − | 127.724i | 1.67288 | − | 0.294974i | 0.744783 | − | 0.667307i | \(-0.232553\pi\) |
0.928099 | + | 0.372332i | \(0.121442\pi\) | |||||||
\(434\) | 610.800 | − | 222.313i | 1.40737 | − | 0.512242i | ||||
\(435\) | 199.172 | + | 167.125i | 0.457866 | + | 0.384195i | ||||
\(436\) | 1784.75i | 4.09346i | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 1365.00 | 3.11644 | ||||||||
\(439\) | −509.873 | + | 607.643i | −1.16144 | + | 1.38415i | −0.252308 | + | 0.967647i | \(0.581190\pi\) |
−0.909133 | + | 0.416505i | \(0.863255\pi\) | |||||||
\(440\) | −246.634 | − | 677.622i | −0.560532 | − | 1.54005i | ||||
\(441\) | 16.6702 | + | 94.5415i | 0.0378010 | + | 0.214380i | ||||
\(442\) | −33.8614 | + | 192.038i | −0.0766095 | + | 0.434474i | ||||
\(443\) | −629.594 | − | 229.153i | −1.42121 | − | 0.517277i | −0.486808 | − | 0.873509i | \(-0.661839\pi\) |
−0.934397 | + | 0.356232i | \(0.884061\pi\) | |||||||
\(444\) | −351.000 | − | 607.950i | −0.790541 | − | 1.36926i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 557.680 | − | 467.949i | 1.25040 | − | 1.04921i | ||||
\(447\) | −162.232 | − | 193.341i | −0.362936 | − | 0.432530i | ||||
\(448\) | −2.50000 | + | 4.33013i | −0.00558036 | + | 0.00966546i | ||||
\(449\) | −31.2250 | + | 18.0278i | −0.0695434 | + | 0.0401509i | −0.534369 | − | 0.845252i | \(-0.679451\pi\) |
0.464825 | + | 0.885403i | \(0.346117\pi\) | |||||||
\(450\) | 44.3942 | − | 121.972i | 0.0986537 | − | 0.271049i | ||||
\(451\) | −355.077 | − | 62.6097i | −0.787311 | − | 0.138824i | ||||
\(452\) | −1086.54 | + | 191.586i | −2.40384 | + | 0.423862i | ||||
\(453\) | −122.160 | + | 44.4626i | −0.269669 | + | 0.0981515i | ||||
\(454\) | −707.059 | − | 593.293i | −1.55740 | − | 1.30681i | ||||
\(455\) | − | 72.1110i | − | 0.158486i | ||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −755.000 | −1.65208 | −0.826039 | − | 0.563612i | \(-0.809411\pi\) | ||||
−0.826039 | + | 0.563612i | \(0.809411\pi\) | |||||||
\(458\) | 370.817 | − | 441.922i | 0.809643 | − | 0.964895i | ||||
\(459\) | 92.4878 | + | 254.108i | 0.201499 | + | 0.553613i | ||||
\(460\) | −218.797 | − | 1240.86i | −0.475645 | − | 2.69752i | ||||
\(461\) | 134.056 | − | 760.272i | 0.290795 | − | 1.64918i | −0.393025 | − | 0.919528i | \(-0.628571\pi\) |
0.683819 | − | 0.729651i | \(-0.260318\pi\) | |||||||
\(462\) | −610.800 | − | 222.313i | −1.32208 | − | 0.481197i | ||||
\(463\) | 175.000 | + | 303.109i | 0.377970 | + | 0.654663i | 0.990767 | − | 0.135578i | \(-0.0432890\pi\) |
−0.612797 | + | 0.790240i | \(0.709956\pi\) | |||||||
\(464\) | −452.762 | − | 261.402i | −0.975781 | − | 0.563367i | ||||
\(465\) | −398.343 | + | 334.250i | −0.856652 | + | 0.718816i | ||||
\(466\) | −625.753 | − | 745.743i | −1.34282 | − | 1.60031i | ||||
\(467\) | −35.0000 | + | 60.6218i | −0.0749465 | + | 0.129811i | −0.901063 | − | 0.433688i | \(-0.857212\pi\) |
0.826117 | + | 0.563499i | \(0.190545\pi\) | |||||||
\(468\) | 112.410 | − | 64.8999i | 0.240192 | − | 0.138675i | ||||
\(469\) | −67.8244 | + | 186.346i | −0.144615 | + | 0.397326i | ||||
\(470\) | 142.031 | + | 25.0439i | 0.302194 | + | 0.0532849i | ||||
\(471\) | 35.5077 | − | 6.26097i | 0.0753880 | − | 0.0132929i | ||||
\(472\) | −305.400 | + | 111.157i | −0.647034 | + | 0.235501i | ||||
\(473\) | 153.209 | + | 128.558i | 0.323909 | + | 0.271792i | ||||
\(474\) | − | 468.722i | − | 0.988864i | ||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 675.000 | 1.41807 | ||||||||
\(477\) | −194.679 | + | 232.009i | −0.408131 | + | 0.486392i | ||||
\(478\) | −242.935 | − | 667.458i | −0.508232 | − | 1.39635i | ||||
\(479\) | −64.2498 | − | 364.379i | −0.134133 | − | 0.760707i | −0.975459 | − | 0.220180i | \(-0.929336\pi\) |
0.841326 | − | 0.540528i | \(-0.181775\pi\) | |||||||
\(480\) | 81.2673 | − | 460.890i | 0.169307 | − | 0.960188i | ||||
\(481\) | −73.2960 | − | 26.6776i | −0.152383 | − | 0.0554627i | ||||
\(482\) | 715.000 | + | 1238.42i | 1.48340 | + | 2.56933i | ||||
\(483\) | −546.437 | − | 315.486i | −1.13134 | − | 0.653180i | ||||
\(484\) | 144.782 | − | 121.487i | 0.299137 | − | 0.251006i | ||||
\(485\) | 315.194 | + | 375.634i | 0.649885 | + | 0.774502i | ||||
\(486\) | 364.000 | − | 630.466i | 0.748971 | − | 1.29726i | ||||
\(487\) | −449.640 | + | 259.600i | −0.923285 | + | 0.533059i | −0.884682 | − | 0.466196i | \(-0.845624\pi\) |
−0.0386035 | + | 0.999255i | \(0.512291\pi\) | |||||||
\(488\) | 246.634 | − | 677.622i | 0.505398 | − | 1.38857i | ||||
\(489\) | 958.709 | + | 169.046i | 1.96055 | + | 0.345698i | ||||
\(490\) | 340.874 | − | 60.1054i | 0.695662 | − | 0.122664i | ||||
\(491\) | 593.886 | − | 216.157i | 1.20954 | − | 0.440238i | 0.342998 | − | 0.939336i | \(-0.388558\pi\) |
0.866545 | + | 0.499098i | \(0.166335\pi\) | |||||||
\(492\) | −896.272 | − | 752.062i | −1.82169 | − | 1.52858i | ||||
\(493\) | 270.416i | 0.548512i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 160.000 | 0.323232 | ||||||||
\(496\) | 672.105 | − | 800.984i | 1.35505 | − | 1.61489i | ||||
\(497\) | 184.976 | + | 508.216i | 0.372184 | + | 1.02257i | ||||
\(498\) | −90.2971 | − | 512.100i | −0.181319 | − | 1.02831i | ||||
\(499\) | 65.9863 | − | 374.227i | 0.132237 | − | 0.749954i | −0.844507 | − | 0.535545i | \(-0.820106\pi\) |
0.976744 | − | 0.214409i | \(-0.0687826\pi\) | |||||||
\(500\) | −1150.18 | − | 418.633i | −2.30037 | − | 0.837265i | ||||
\(501\) | −221.000 | − | 382.783i | −0.441118 | − | 0.764038i | ||||
\(502\) | 1255.24 | + | 724.716i | 2.50049 | + | 1.44366i | ||||
\(503\) | −34.4720 | + | 28.9254i | −0.0685328 | + | 0.0575058i | −0.676411 | − | 0.736525i | \(-0.736465\pi\) |
0.607878 | + | 0.794031i | \(0.292021\pi\) | |||||||
\(504\) | −231.760 | − | 276.201i | −0.459842 | − | 0.548018i | ||||
\(505\) | 100.000 | − | 173.205i | 0.198020 | − | 0.342980i | ||||
\(506\) | −1092.87 | + | 630.971i | −2.15983 | + | 1.24698i | ||||
\(507\) | −192.375 | + | 528.545i | −0.379437 | + | 1.04250i | ||||
\(508\) | 1150.45 | + | 202.856i | 2.26467 | + | 0.399322i | ||||
\(509\) | −816.678 | + | 144.002i | −1.60448 | + | 0.282912i | −0.902955 | − | 0.429736i | \(-0.858607\pi\) |
−0.701521 | + | 0.712648i | \(0.747495\pi\) | |||||||
\(510\) | −732.960 | + | 266.776i | −1.43718 | + | 0.523090i | ||||
\(511\) | −402.173 | − | 337.463i | −0.787032 | − | 0.660398i | ||||
\(512\) | − | 1150.17i | − | 2.24643i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1508.00 | 2.93385 | ||||||||
\(515\) | −148.327 | + | 176.769i | −0.288013 | + | 0.343240i | ||||
\(516\) | 221.971 | + | 609.860i | 0.430176 | + | 1.18190i | ||||
\(517\) | −17.3648 | − | 98.4808i | −0.0335877 | − | 0.190485i | ||||
\(518\) | −67.7228 | + | 384.075i | −0.130739 | + | 0.741458i | ||||
\(519\) | 415.344 | + | 151.173i | 0.800278 | + | 0.291277i | ||||
\(520\) | −130.000 | − | 225.167i | −0.250000 | − | 0.433013i | ||||
\(521\) | −530.825 | − | 306.472i | −1.01886 | − | 0.588238i | −0.105085 | − | 0.994463i | \(-0.533511\pi\) |
−0.913773 | + | 0.406226i | \(0.866845\pi\) | |||||||
\(522\) | 199.172 | − | 167.125i | 0.381555 | − | 0.320162i | ||||
\(523\) | 298.971 | + | 356.300i | 0.571646 | + | 0.681261i | 0.971968 | − | 0.235113i | \(-0.0755461\pi\) |
−0.400322 | + | 0.916375i | \(0.631102\pi\) | |||||||
\(524\) | 504.000 | − | 872.954i | 0.961832 | − | 1.66594i | ||||
\(525\) | −140.512 | + | 81.1249i | −0.267643 | + | 0.154524i | ||||
\(526\) | 382.283 | − | 1050.31i | 0.726774 | − | 1.99679i | ||||
\(527\) | −532.616 | − | 93.9146i | −1.01066 | − | 0.178206i | ||||
\(528\) | −1029.72 | + | 181.568i | −1.95024 | + | 0.343879i | ||||
\(529\) | −654.026 | + | 238.046i | −1.23634 | + | 0.449992i | ||||
\(530\) | 836.521 | + | 701.924i | 1.57834 | + | 1.32439i | ||||
\(531\) | − | 72.1110i | − | 0.135802i | ||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −130.000 | −0.243902 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −103.586 | − | 284.601i | −0.193619 | − | 0.531965i | ||||
\(536\) | 124.158 | + | 704.138i | 0.231639 | + | 1.31369i | ||||
\(537\) | 22.5743 | − | 128.025i | 0.0420377 | − | 0.238408i | ||||
\(538\) | 366.480 | + | 133.388i | 0.681190 | + | 0.247933i | ||||
\(539\) | −120.000 | − | 207.846i | −0.222635 | − | 0.385614i | ||||
\(540\) | −562.050 | − | 324.500i | −1.04083 | − | 0.600925i | ||||
\(541\) | −459.627 | + | 385.673i | −0.849587 | + | 0.712888i | −0.959699 | − | 0.281031i | \(-0.909324\pi\) |
0.110112 | + | 0.993919i | \(0.464879\pi\) | |||||||
\(542\) | 243.348 | + | 290.011i | 0.448982 | + | 0.535076i | ||||
\(543\) | −195.000 | + | 337.750i | −0.359116 | + | 0.622007i | ||||
\(544\) | 421.537 | − | 243.375i | 0.774885 | − | 0.447380i | ||||
\(545\) | −271.298 | + | 745.384i | −0.497794 | + | 1.36768i | ||||
\(546\) | −230.800 | − | 40.6963i | −0.422711 | − | 0.0745354i | ||||
\(547\) | 589.429 | − | 103.932i | 1.07757 | − | 0.190004i | 0.393427 | − | 0.919356i | \(-0.371289\pi\) |
0.684139 | + | 0.729352i | \(0.260178\pi\) | |||||||
\(548\) | 1057.15 | − | 384.773i | 1.92911 | − | 0.702140i | ||||
\(549\) | 122.567 | + | 102.846i | 0.223255 | + | 0.187333i | ||||
\(550\) | 324.500i | 0.589999i | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −2275.00 | −4.12138 | ||||||||
\(553\) | −115.880 | + | 138.101i | −0.209548 | + | 0.249730i | ||||
\(554\) | 61.6586 | + | 169.405i | 0.111297 | + | 0.305786i | ||||
\(555\) | −54.1782 | − | 307.260i | −0.0976184 | − | 0.553622i | ||||
\(556\) | −78.1417 | + | 443.163i | −0.140543 | + | 0.797057i | ||||
\(557\) | −357.083 | − | 129.968i | −0.641083 | − | 0.233335i | 0.000965080 | − | 1.00000i | \(-0.499693\pi\) |
−0.642048 | + | 0.766664i | \(0.721915\pi\) | |||||||
\(558\) | 260.000 | + | 450.333i | 0.465950 | + | 0.807049i | ||||
\(559\) | 62.4500 | + | 36.0555i | 0.111717 | + | 0.0645000i | ||||
\(560\) | −444.306 | + | 372.817i | −0.793403 | + | 0.665744i | ||||
\(561\) | 347.641 | + | 414.302i | 0.619680 | + | 0.738506i | ||||
\(562\) | −520.000 | + | 900.666i | −0.925267 | + | 1.60261i | ||||
\(563\) | 106.165 | − | 61.2944i | 0.188570 | − | 0.108871i | −0.402743 | − | 0.915313i | \(-0.631943\pi\) |
0.591313 | + | 0.806442i | \(0.298610\pi\) | |||||||
\(564\) | 110.985 | − | 304.930i | 0.196783 | − | 0.540656i | ||||
\(565\) | −482.905 | − | 85.1492i | −0.854700 | − | 0.150707i | ||||
\(566\) | 1136.25 | − | 200.351i | 2.00751 | − | 0.353977i | ||||
\(567\) | −474.545 | + | 172.720i | −0.836940 | + | 0.304621i | ||||
\(568\) | 1493.79 | + | 1253.44i | 2.62991 | + | 2.20675i | ||||
\(569\) | 36.0555i | 0.0633665i | 0.999498 | + | 0.0316832i | \(0.0100868\pi\) | ||||
−0.999498 | + | 0.0316832i | \(0.989913\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −790.000 | −1.38354 | −0.691769 | − | 0.722119i | \(-0.743168\pi\) | ||||
−0.691769 | + | 0.722119i | \(0.743168\pi\) | |||||||
\(572\) | −208.584 | + | 248.581i | −0.364658 | + | 0.434582i | ||||
\(573\) | 238.002 | + | 653.905i | 0.415361 | + | 1.14120i | ||||
\(574\) | 112.871 | + | 640.125i | 0.196640 | + | 1.11520i | ||||
\(575\) | −54.6992 | + | 310.214i | −0.0951290 | + | 0.539503i | ||||
\(576\) | −3.75877 | − | 1.36808i | −0.00652564 | − | 0.00237514i | ||||
\(577\) | −337.500 | − | 584.567i | −0.584922 | − | 1.01311i | −0.994885 | − | 0.101013i | \(-0.967792\pi\) |
0.409963 | − | 0.912102i | \(-0.365542\pi\) | |||||||
\(578\) | 199.840 | + | 115.378i | 0.345744 | + | 0.199615i | ||||
\(579\) | 736.935 | − | 618.362i | 1.27277 | − | 1.06798i | ||||
\(580\) | −417.169 | − | 497.162i | −0.719256 | − | 0.857176i | ||||
\(581\) | −100.000 | + | 173.205i | −0.172117 | + | 0.298115i | ||||
\(582\) | 1380.14 | − | 796.827i | 2.37138 | − | 1.36912i | ||||
\(583\) | 258.966 | − | 711.503i | 0.444195 | − | 1.22042i | ||||
\(584\) | −1864.16 | − | 328.701i | −3.19205 | − | 0.562844i | ||||
\(585\) | 56.8124 | − | 10.0176i | 0.0971152 | − | 0.0171240i | ||||
\(586\) | −745.176 | + | 271.222i | −1.27163 | + | 0.462836i | ||||
\(587\) | −214.492 | − | 179.981i | −0.365405 | − | 0.306611i | 0.441536 | − | 0.897244i | \(-0.354434\pi\) |
−0.806940 | + | 0.590633i | \(0.798878\pi\) | |||||||
\(588\) | − | 778.799i | − | 1.32449i | ||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | −260.000 | −0.440678 | ||||||||
\(591\) | 208.584 | − | 248.581i | 0.352935 | − | 0.420611i | ||||
\(592\) | 214.572 | + | 589.531i | 0.362452 | + | 0.995830i | ||||
\(593\) | 130.236 | + | 738.606i | 0.219622 | + | 1.24554i | 0.872703 | + | 0.488252i | \(0.162365\pi\) |
−0.653080 | + | 0.757289i | \(0.726524\pi\) | |||||||
\(594\) | −112.871 | + | 640.125i | −0.190019 | + | 1.07765i | ||||
\(595\) | 281.908 | + | 102.606i | 0.473795 | + | 0.172447i | ||||
\(596\) | 315.000 | + | 545.596i | 0.528523 | + | 0.915430i | ||||
\(597\) | 384.067 | + | 221.741i | 0.643329 | + | 0.371426i | ||||
\(598\) | −348.550 | + | 292.468i | −0.582860 | + | 0.489078i | ||||
\(599\) | 324.465 | + | 386.682i | 0.541677 | + | 0.645545i | 0.965563 | − | 0.260170i | \(-0.0837787\pi\) |
−0.423886 | + | 0.905716i | \(0.639334\pi\) | |||||||
\(600\) | −292.500 | + | 506.625i | −0.487500 | + | 0.844375i | ||||
\(601\) | 530.825 | − | 306.472i | 0.883236 | − | 0.509937i | 0.0115120 | − | 0.999934i | \(-0.496336\pi\) |
0.871724 | + | 0.489997i | \(0.163002\pi\) | |||||||
\(602\) | 123.317 | − | 338.811i | 0.204846 | − | 0.562809i | ||||
\(603\) | −156.234 | − | 27.5483i | −0.259095 | − | 0.0456854i | ||||
\(604\) | 319.570 | − | 56.3488i | 0.529089 | − | 0.0932927i | ||||
\(605\) | 78.9342 | − | 28.7297i | 0.130470 | − | 0.0474871i | ||||
\(606\) | −497.929 | − | 417.812i | −0.821665 | − | 0.689459i | ||||
\(607\) | − | 987.921i | − | 1.62755i | −0.581182 | − | 0.813774i | \(-0.697410\pi\) | ||
0.581182 | − | 0.813774i | \(-0.302590\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −325.000 | −0.533662 | ||||||||
\(610\) | 370.817 | − | 441.922i | 0.607896 | − | 0.724462i | ||||
\(611\) | −12.3317 | − | 33.8811i | −0.0201828 | − | 0.0554519i | ||||
\(612\) | 93.7700 | + | 531.796i | 0.153219 | + | 0.868948i | ||||
\(613\) | −208.378 | + | 1181.77i | −0.339931 | + | 1.92785i | 0.0317749 | + | 0.999495i | \(0.489884\pi\) |
−0.371706 | + | 0.928350i | \(0.621227\pi\) | |||||||
\(614\) | 806.256 | + | 293.453i | 1.31312 | + | 0.477937i | ||||
\(615\) | −260.000 | − | 450.333i | −0.422764 | − | 0.732249i | ||||
\(616\) | 780.625 | + | 450.694i | 1.26725 | + | 0.731646i | ||||
\(617\) | −268.116 | + | 224.976i | −0.434547 | + | 0.364628i | −0.833664 | − | 0.552272i | \(-0.813761\pi\) |
0.399117 | + | 0.916900i | \(0.369317\pi\) | |||||||
\(618\) | 482.062 | + | 574.499i | 0.780035 | + | 0.929609i | ||||
\(619\) | −280.000 | + | 484.974i | −0.452342 | + | 0.783480i | −0.998531 | − | 0.0541821i | \(-0.982745\pi\) |
0.546189 | + | 0.837662i | \(0.316078\pi\) | |||||||
\(620\) | 1124.10 | − | 648.999i | 1.81306 | − | 1.04677i | ||||
\(621\) | −215.805 | + | 592.919i | −0.347512 | + | 0.954781i | ||||
\(622\) | 1402.56 | + | 247.308i | 2.25491 | + | 0.397602i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −354.264 | + | 128.942i | −0.567731 | + | 0.206637i | ||||
\(625\) | −244.368 | − | 205.049i | −0.390989 | − | 0.328079i | ||||
\(626\) | 450.694i | 0.719958i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −90.0000 | −0.143312 | ||||||||
\(629\) | 208.584 | − | 248.581i | 0.331613 | − | 0.395201i | ||||
\(630\) | −98.6537 | − | 271.049i | −0.156593 | − | 0.430236i | ||||
\(631\) | −182.331 | − | 1034.05i | −0.288955 | − | 1.63875i | −0.690806 | − | 0.723040i | \(-0.742744\pi\) |
0.401851 | − | 0.915705i | \(-0.368367\pi\) | |||||||
\(632\) | −112.871 | + | 640.125i | −0.178594 | + | 1.01286i | ||||
\(633\) | 794.040 | + | 289.007i | 1.25441 | + | 0.456567i | ||||
\(634\) | 6.50000 | + | 11.2583i | 0.0102524 | + | 0.0177576i | ||||
\(635\) | 449.640 | + | 259.600i | 0.708094 | + | 0.408818i | ||||
\(636\) | 1882.17 | − | 1579.33i | 2.95939 | − | 2.48322i | ||||
\(637\) | −55.6225 | − | 66.2883i | −0.0873194 | − | 0.104063i | ||||
\(638\) | −325.000 | + | 562.917i | −0.509404 | + | 0.882314i | ||||
\(639\) | −374.700 | + | 216.333i | −0.586385 | + | 0.338549i | ||||
\(640\) | 172.644 | − | 474.335i | 0.269756 | − | 0.741149i | ||||
\(641\) | 1207.26 | + | 212.873i | 1.88341 | + | 0.332095i | 0.992515 | − | 0.122121i | \(-0.0389698\pi\) |
0.890891 | + | 0.454217i | \(0.150081\pi\) | |||||||
\(642\) | −969.362 | + | 170.925i | −1.50991 | + | 0.266238i | ||||
\(643\) | 967.883 | − | 352.281i | 1.50526 | − | 0.547871i | 0.547845 | − | 0.836580i | \(-0.315448\pi\) |
0.957417 | + | 0.288709i | \(0.0932261\pi\) | |||||||
\(644\) | 1206.52 | + | 1012.39i | 1.87348 | + | 1.57203i | ||||
\(645\) | 288.444i | 0.447200i | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 555.000 | 0.857805 | 0.428903 | − | 0.903351i | \(-0.358900\pi\) | ||||
0.428903 | + | 0.903351i | \(0.358900\pi\) | |||||||
\(648\) | −1170.39 | + | 1394.82i | −1.80616 | + | 2.15249i | ||||
\(649\) | 61.6586 | + | 169.405i | 0.0950055 | + | 0.261025i | ||||
\(650\) | 20.3168 | + | 115.223i | 0.0312567 | + | 0.177265i | ||||
\(651\) | 112.871 | − | 640.125i | 0.173381 | − | 0.983295i | ||||
\(652\) | −2283.45 | − | 831.109i | −3.50223 | − | 1.27471i | ||||
\(653\) | −25.0000 | − | 43.3013i | −0.0382848 | − | 0.0663113i | 0.846248 | − | 0.532789i | \(-0.178856\pi\) |
−0.884533 | + | 0.466478i | \(0.845523\pi\) | |||||||
\(654\) | 2232.59 | + | 1288.98i | 3.41374 | + | 1.97092i | ||||
\(655\) | 343.188 | − | 287.969i | 0.523951 | − | 0.439647i | ||||
\(656\) | 672.105 | + | 800.984i | 1.02455 | + | 1.22101i | ||||
\(657\) | 210.000 | − | 363.731i | 0.319635 | − | 0.553624i | ||||
\(658\) | −156.125 | + | 90.1388i | −0.237272 | + | 0.136989i | ||||
\(659\) | 67.8244 | − | 186.346i | 0.102920 | − | 0.282771i | −0.877535 | − | 0.479512i | \(-0.840814\pi\) |
0.980455 | + | 0.196741i | \(0.0630359\pi\) | |||||||
\(660\) | −1278.28 | − | 225.395i | −1.93679 | − | 0.341508i | ||||
\(661\) | −195.293 | + | 34.4354i | −0.295450 | + | 0.0520959i | −0.319409 | − | 0.947617i | \(-0.603484\pi\) |
0.0239583 | + | 0.999713i | \(0.492373\pi\) | |||||||
\(662\) | −671.880 | + | 244.544i | −1.01492 | + | 0.369402i | ||||
\(663\) | 149.379 | + | 125.344i | 0.225307 | + | 0.189055i | ||||
\(664\) | 721.110i | 1.08601i | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −312.000 | −0.468468 | ||||||||
\(667\) | −405.581 | + | 483.352i | −0.608067 | + | 0.724666i | ||||
\(668\) | 377.350 | + | 1036.76i | 0.564896 | + | 1.55204i | ||||
\(669\) | −126.416 | − | 716.940i | −0.188962 | − | 1.07166i | ||||
\(670\) | −99.3268 | + | 563.310i | −0.148249 | + | 0.840761i | ||||
\(671\) | −375.877 | − | 136.808i | −0.560174 | − | 0.203887i | ||||
\(672\) | 292.500 | + | 506.625i | 0.435268 | + | 0.753906i | ||||
\(673\) | −518.335 | − | 299.261i | −0.770185 | − | 0.444667i | 0.0627553 | − | 0.998029i | \(-0.480011\pi\) |
−0.832941 | + | 0.553362i | \(0.813345\pi\) | |||||||
\(674\) | −159.337 | + | 133.700i | −0.236405 | + | 0.198368i | ||||
\(675\) | 104.292 | + | 124.291i | 0.154507 | + | 0.184134i | ||||
\(676\) | 702.000 | − | 1215.90i | 1.03846 | − | 1.79867i | ||||
\(677\) | 59.3275 | − | 34.2527i | 0.0876329 | − | 0.0505949i | −0.455543 | − | 0.890214i | \(-0.650555\pi\) |
0.543176 | + | 0.839619i | \(0.317222\pi\) | |||||||
\(678\) | −545.062 | + | 1497.54i | −0.803926 | + | 2.20877i | ||||
\(679\) | −603.632 | − | 106.437i | −0.889001 | − | 0.156755i | ||||
\(680\) | 1065.23 | − | 187.829i | 1.56652 | − | 0.276219i | ||||
\(681\) | −867.336 | + | 315.685i | −1.27362 | + | 0.463560i | ||||
\(682\) | −995.858 | − | 835.624i | −1.46020 | − | 1.22525i | ||||
\(683\) | − | 237.966i | − | 0.348413i | −0.984709 | − | 0.174207i | \(-0.944264\pi\) | ||
0.984709 | − | 0.174207i | \(-0.0557361\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 500.000 | 0.729927 | ||||||||
\(686\) | −845.925 | + | 1008.13i | −1.23313 | + | 1.46958i | ||||
\(687\) | −197.307 | − | 542.098i | −0.287201 | − | 0.789079i | ||||
\(688\) | −100.716 | − | 571.188i | −0.146389 | − | 0.830216i | ||||
\(689\) | 47.4060 | − | 268.853i | 0.0688040 | − | 0.390207i | ||||
\(690\) | −1710.24 | − | 622.477i | −2.47861 | − | 0.902140i | ||||
\(691\) | 410.000 | + | 710.141i | 0.593343 | + | 1.02770i | 0.993778 | + | 0.111375i | \(0.0355255\pi\) |
−0.400435 | + | 0.916325i | \(0.631141\pi\) | |||||||
\(692\) | −955.485 | − | 551.649i | −1.38076 | − | 0.797181i | ||||
\(693\) | −153.209 | + | 128.558i | −0.221081 | + | 0.185509i | ||||
\(694\) | −92.7041 | − | 110.481i | −0.133579 | − | 0.159194i | ||||
\(695\) | −100.000 | + | 173.205i | −0.143885 | + | 0.249216i | ||||
\(696\) | −1014.81 | + | 585.902i | −1.45806 | + | 0.841813i | ||||
\(697\) | 184.976 | − | 508.216i | 0.265388 | − | 0.729148i | ||||
\(698\) | 347.976 | + | 61.3575i | 0.498533 | + | 0.0879048i | ||||
\(699\) | −958.709 | + | 169.046i | −1.37154 | + | 0.241840i | ||||
\(700\) | 380.576 | − | 138.518i | 0.543679 | − | 0.197883i | ||||
\(701\) | −413.664 | − | 347.105i | −0.590106 | − | 0.495157i | 0.298143 | − | 0.954521i | \(-0.403633\pi\) |
−0.888248 | + | 0.459364i | \(0.848077\pi\) | |||||||
\(702\) | 234.361i | 0.333847i | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 10.0000 | 0.0142045 | ||||||||
\(705\) | 92.7041 | − | 110.481i | 0.131495 | − | 0.156710i | ||||
\(706\) | 228.137 | + | 626.800i | 0.323140 | + | 0.887819i | ||||
\(707\) | 43.4120 | + | 246.202i | 0.0614032 | + | 0.348235i | ||||
\(708\) | −101.584 | + | 576.113i | −0.143480 | + | 0.813718i | ||||
\(709\) | −251.838 | − | 91.6614i | −0.355201 | − | 0.129283i | 0.158255 | − | 0.987398i | \(-0.449413\pi\) |
−0.513457 | + | 0.858116i | \(0.671635\pi\) | |||||||
\(710\) | 780.000 | + | 1351.00i | 1.09859 | + | 1.90282i | ||||
\(711\) | −124.900 | − | 72.1110i | −0.175668 | − | 0.101422i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −811.161 | − | 966.704i | −1.13767 | − | 1.35583i | ||||
\(714\) | 487.500 | − | 844.375i | 0.682773 | − | 1.18260i | ||||
\(715\) | −124.900 | + | 72.1110i | −0.174685 | + | 0.100855i | ||||
\(716\) | −110.985 | + | 304.930i | −0.155008 | + | 0.425880i | ||||
\(717\) | −699.503 | − | 123.341i | −0.975596 | − | 0.172024i | ||||
\(718\) | 798.924 | − | 140.872i | 1.11271 | − | 0.196200i | ||||
\(719\) | −98.6677 | + | 35.9121i | −0.137229 | + | 0.0499473i | −0.409722 | − | 0.912211i | \(-0.634374\pi\) |
0.272493 | + | 0.962158i | \(0.412152\pi\) | |||||||
\(720\) | −355.445 | − | 298.253i | −0.493673 | − | 0.414241i | ||||
\(721\) | − | 288.444i | − | 0.400061i | ||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 1430.00 | 1.97787 | ||||||||
\(724\) | 625.753 | − | 745.743i | 0.864300 | − | 1.03003i | ||||
\(725\) | 55.4927 | + | 152.465i | 0.0765417 | + | 0.210296i | ||||
\(726\) | −47.4060 | − | 268.853i | −0.0652975 | − | 0.370320i | ||||
\(727\) | 120.685 | − | 684.441i | 0.166005 | − | 0.941460i | −0.782018 | − | 0.623256i | \(-0.785809\pi\) |
0.948022 | − | 0.318204i | \(-0.103080\pi\) | |||||||
\(728\) | 305.400 | + | 111.157i | 0.419506 | + | 0.152688i | ||||
\(729\) | 90.5000 | + | 156.751i | 0.124143 | + | 0.215021i | ||||
\(730\) | −1311.45 | − | 757.166i | −1.79651 | − | 1.03721i | ||||
\(731\) | −229.813 | + | 192.836i | −0.314382 | + | 0.263798i | ||||
\(732\) | −834.337 | − | 994.325i | −1.13981 | − | 1.35837i | ||||
\(733\) | −80.0000 | + | 138.564i | −0.109141 | + | 0.189037i | −0.915422 | − | 0.402495i | \(-0.868143\pi\) |
0.806282 | + | 0.591532i | \(0.201477\pi\) | |||||||
\(734\) | 156.125 | − | 90.1388i | 0.212704 | − | 0.122805i | ||||
\(735\) | 118.384 | − | 325.259i | 0.161067 | − | 0.442529i | ||||
\(736\) | 1118.49 | + | 197.221i | 1.51969 | + | 0.267963i | ||||
\(737\) | 390.585 | − | 68.8707i | 0.529966 | − | 0.0934474i | ||||
\(738\) | −488.640 | + | 177.850i | −0.662114 | + | 0.240990i | ||||
\(739\) | 787.494 | + | 660.786i | 1.06562 | + | 0.894162i | 0.994649 | − | 0.103316i | \(-0.0329454\pi\) |
0.0709721 | + | 0.997478i | \(0.477390\pi\) | |||||||
\(740\) | 778.799i | 1.05243i | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1365.00 | −1.83962 | ||||||||
\(743\) | 338.370 | − | 403.254i | 0.455411 | − | 0.542737i | −0.488663 | − | 0.872473i | \(-0.662515\pi\) |
0.944073 | + | 0.329735i | \(0.106960\pi\) | |||||||
\(744\) | −801.561 | − | 2202.27i | −1.07737 | − | 2.96004i | ||||
\(745\) | 48.6215 | + | 275.746i | 0.0652637 | + | 0.370129i | ||||
\(746\) | 273.149 | − | 1549.10i | 0.366151 | − | 2.07655i | ||||
\(747\) | −150.351 | − | 54.7232i | −0.201273 | − | 0.0732573i | ||||
\(748\) | −675.000 | − | 1169.13i | −0.902406 | − | 1.56301i | ||||
\(749\) | 327.862 | + | 189.291i | 0.437734 | + | 0.252726i | ||||
\(750\) | −1354.37 | + | 1136.45i | −1.80582 | + | 1.51526i | ||||
\(751\) | 23.1760 | + | 27.6201i | 0.0308602 | + | 0.0367778i | 0.781254 | − | 0.624213i | \(-0.214580\pi\) |
−0.750394 | + | 0.660991i | \(0.770136\pi\) | |||||||
\(752\) | −145.000 | + | 251.147i | −0.192819 | + | 0.333973i | ||||
\(753\) | 1255.24 | − | 724.716i | 1.66699 | − | 0.962438i | ||||
\(754\) | −80.1561 | + | 220.227i | −0.106308 | + | 0.292078i | ||||
\(755\) | 142.031 | + | 25.0439i | 0.188121 | + | 0.0331707i | ||||
\(756\) | 798.924 | − | 140.872i | 1.05678 | − | 0.186339i | ||||
\(757\) | −56.3816 | + | 20.5212i | −0.0744803 | + | 0.0271086i | −0.378992 | − | 0.925400i | \(-0.623729\pi\) |
0.304511 | + | 0.952509i | \(0.401507\pi\) | |||||||
\(758\) | 1344.41 | + | 1128.09i | 1.77363 | + | 1.48825i | ||||
\(759\) | 1261.94i | 1.66264i | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −655.000 | −0.860710 | −0.430355 | − | 0.902660i | \(-0.641612\pi\) | ||||
−0.430355 | + | 0.902660i | \(0.641612\pi\) | |||||||
\(762\) | 1084.64 | − | 1292.62i | 1.42341 | − | 1.69635i | ||||
\(763\) | −339.122 | − | 931.730i | −0.444459 | − | 1.22114i | ||||
\(764\) | −301.627 | − | 1710.61i | −0.394800 | − | 2.23902i | ||||
\(765\) | −41.6756 | + | 236.354i | −0.0544779 | + | 0.308959i | ||||
\(766\) | 684.096 | + | 248.991i | 0.893076 | + | 0.325053i | ||||
\(767\) | 32.5000 | + | 56.2917i | 0.0423729 | + | 0.0733920i | ||||
\(768\) | −1433.23 | − | 827.474i | −1.86618 | − | 1.07744i | ||||
\(769\) | −141.718 | + | 118.916i | −0.184289 | + | 0.154637i | −0.730265 | − | 0.683164i | \(-0.760603\pi\) |
0.545976 | + | 0.837801i | \(0.316159\pi\) | |||||||
\(770\) | 463.521 | + | 552.403i | 0.601975 | + | 0.717406i | ||||
\(771\) | 754.000 | − | 1305.97i | 0.977951 | − | 1.69386i | ||||
\(772\) | −2079.58 | + | 1200.65i | −2.69376 | + | 1.55524i | ||||
\(773\) | −109.752 | + | 301.542i | −0.141982 | + | 0.390093i | −0.990219 | − | 0.139525i | \(-0.955442\pi\) |
0.848236 | + | 0.529618i | \(0.177665\pi\) | |||||||
\(774\) | 284.062 | + | 50.0878i | 0.367005 | + | 0.0647129i | ||||
\(775\) | −319.570 | + | 56.3488i | −0.412348 | + | 0.0727081i | ||||
\(776\) | −2076.72 | + | 755.865i | −2.67619 | + | 0.974052i | ||||
\(777\) | 298.757 | + | 250.687i | 0.384501 | + | 0.322635i | ||||
\(778\) | − | 1723.45i | − | 2.21524i | ||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | −468.000 | −0.600000 | ||||||||
\(781\) | 695.281 | − | 828.604i | 0.890245 | − | 1.06095i | ||||
\(782\) | −647.415 | − | 1778.76i | −0.827896 | − | 2.27463i | ||||
\(783\) | 56.4357 | + | 320.063i | 0.0720762 | + | 0.408764i | ||||
\(784\) | −120.859 | + | 685.426i | −0.154157 | + | 0.874268i | ||||
\(785\) | −37.5877 | − | 13.6808i | −0.0478824 | − | 0.0174278i | ||||
\(786\) | −728.000 | − | 1260.93i | −0.926209 | − | 1.60424i | ||||
\(787\) | −59.3275 | − | 34.2527i | −0.0753843 | − | 0.0435232i | 0.461834 | − | 0.886966i | \(-0.347192\pi\) |
−0.537218 | + | 0.843443i | \(0.680525\pi\) | |||||||
\(788\) | −620.496 | + | 520.658i | −0.787431 | + | 0.660733i | ||||
\(789\) | −718.457 | − | 856.224i | −0.910592 | − | 1.08520i | ||||
\(790\) | −260.000 | + | 450.333i | −0.329114 | + | 0.570042i | ||||
\(791\) | 530.825 | − | 306.472i | 0.671081 | − | 0.387449i | ||||
\(792\) | −246.634 | + | 677.622i | −0.311407 | + | 0.855583i | ||||
\(793\) | −142.031 | − | 25.0439i | −0.179106 | − | 0.0315812i | ||||
\(794\) | −2663.08 | + | 469.573i | −3.35401 | + | 0.591402i | ||||
\(795\) | 1026.14 | − | 373.486i | 1.29075 | − | 0.469794i | ||||
\(796\) | −848.011 | − | 711.566i | −1.06534 | − | 0.893927i | ||||
\(797\) | 1258.34i | 1.57884i | 0.613852 | + | 0.789421i | \(0.289619\pi\) | ||||
−0.613852 | + | 0.789421i | \(0.710381\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 150.000 | 0.187735 | ||||||||
\(800\) | 187.726 | − | 223.723i | 0.234657 | − | 0.279654i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 180.594 | + | 1024.20i | 0.225180 | + | 1.27706i | ||||
\(803\) | −182.331 | + | 1034.05i | −0.227062 | + | 1.28773i | ||||
\(804\) | 1209.38 | + | 440.180i | 1.50421 | + | 0.547487i | ||||
\(805\) | 350.000 | + | 606.218i | 0.434783 | + | 0.753066i | ||||
\(806\) | −405.925 | − | 234.361i | −0.503629 | − | 0.290770i | ||||
\(807\) | 298.757 | − | 250.687i | 0.370207 | − | 0.310641i | ||||
\(808\) | 579.401 | + | 690.503i | 0.717080 | + | 0.854583i | ||||
\(809\) | 3.50000 | − | 6.06218i | 0.00432633 | − | 0.00749342i | −0.863854 | − | 0.503742i | \(-0.831956\pi\) |
0.868180 | + | 0.496249i | \(0.165290\pi\) | |||||||
\(810\) | −1261.49 | + | 728.321i | −1.55739 | + | 0.899162i | ||||
\(811\) | 351.454 | − | 965.611i | 0.433359 | − | 1.19064i | −0.510380 | − | 0.859949i | \(-0.670495\pi\) |
0.943738 | − | 0.330694i | \(-0.107283\pi\) | |||||||
\(812\) | 798.924 | + | 140.872i | 0.983897 | + | 0.173488i | ||||
\(813\) | 372.831 | − | 65.7402i | 0.458587 | − | 0.0808613i | ||||
\(814\) | 732.960 | − | 266.776i | 0.900443 | − | 0.327734i | ||||
\(815\) | −827.328 | − | 694.211i | −1.01513 | − | 0.851792i | ||||
\(816\) | − | 1568.41i | − | 1.92208i | ||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 130.000 | 0.158924 | ||||||||
\(819\) | −46.3521 | + | 55.2403i | −0.0565959 | + | 0.0674484i | ||||
\(820\) | 443.942 | + | 1219.72i | 0.541392 | + | 1.48746i | ||||
\(821\) | 146.212 | + | 829.208i | 0.178090 | + | 1.01000i | 0.934517 | + | 0.355919i | \(0.115832\pi\) |
−0.756427 | + | 0.654078i | \(0.773057\pi\) | |||||||
\(822\) | 282.178 | − | 1600.31i | 0.343283 | − | 1.94685i | ||||
\(823\) | −728.262 | − | 265.066i | −0.884887 | − | 0.322072i | −0.140707 | − | 0.990051i | \(-0.544937\pi\) |
−0.744180 | + | 0.667979i | \(0.767160\pi\) | |||||||
\(824\) | −520.000 | − | 900.666i | −0.631068 | − | 1.09304i | ||||
\(825\) | 281.025 | + | 162.250i | 0.340636 | + | 0.196666i | ||||
\(826\) | 248.964 | − | 208.906i | 0.301410 | − | 0.252913i | ||||
\(827\) | −813.479 | − | 969.466i | −0.983650 | − | 1.17227i | −0.985050 | − | 0.172270i | \(-0.944890\pi\) |
0.00139937 | − | 0.999999i | \(-0.499555\pi\) | |||||||
\(828\) | −630.000 | + | 1091.19i | −0.760870 | + | 1.31786i | ||||
\(829\) | −1358.29 | + | 784.207i | −1.63846 | + | 0.945968i | −0.657102 | + | 0.753802i | \(0.728218\pi\) |
−0.981362 | + | 0.192166i | \(0.938449\pi\) | |||||||
\(830\) | −197.307 | + | 542.098i | −0.237720 | + | 0.653130i | ||||
\(831\) | 177.539 | + | 31.3049i | 0.213645 | + | 0.0376713i | ||||
\(832\) | 3.55077 | − | 0.626097i | 0.00426776 | − | 0.000752521i | ||||
\(833\) | 338.289 | − | 123.127i | 0.406110 | − | 0.147812i | ||||
\(834\) | 497.929 | + | 417.812i | 0.597037 | + | 0.500974i | ||||
\(835\) | 490.355i | 0.587251i | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −650.000 | −0.776583 | ||||||||
\(838\) | −259.572 | + | 309.345i | −0.309751 | + | 0.369147i | ||||
\(839\) | 394.615 | + | 1084.20i | 0.470339 | + | 1.29225i | 0.917480 | + | 0.397783i | \(0.130220\pi\) |
−0.447140 | + | 0.894464i | \(0.647557\pi\) | |||||||
\(840\) | 225.743 | + | 1280.25i | 0.268741 | + | 1.52411i | ||||
\(841\) | 89.6025 | − | 508.161i | 0.106543 | − | 0.604234i | ||||
\(842\) | 2137.80 | + | 778.096i | 2.53896 | + | 0.924104i | ||||
\(843\) | 520.000 | + | 900.666i | 0.616845 | + | 1.06841i | ||||
\(844\) | −1826.66 | − | 1054.62i | −2.16429 | − | 1.24955i | ||||
\(845\) | 478.012 | − | 401.099i | 0.565694 | − | 0.474674i | ||||
\(846\) | −92.7041 | − | 110.481i | −0.109579 | − | 0.130592i | ||||
\(847\) | −52.5000 | + | 90.9327i | −0.0619835 | + | 0.107359i | ||||
\(848\) | −1901.60 | + | 1097.89i | −2.24246 | + | 1.29468i | ||||
\(849\) | 394.615 | − | 1084.20i | 0.464799 | − | 1.27703i | ||||
\(850\) | −479.355 | − | 84.5232i | −0.563947 | − | 0.0994390i | ||||
\(851\) | 745.663 | − | 131.480i | 0.876219 | − | 0.154501i | ||||
\(852\) | 3298.32 | − | 1200.49i | 3.87127 | − | 1.40903i | ||||
\(853\) | 306.418 | + | 257.115i | 0.359224 | + | 0.301424i | 0.804481 | − | 0.593978i | \(-0.202443\pi\) |
−0.445258 | + | 0.895403i | \(0.646888\pi\) | |||||||
\(854\) | 721.110i | 0.844391i | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 1365.00 | 1.59463 | ||||||||
\(857\) | −101.975 | + | 121.529i | −0.118990 | + | 0.141807i | −0.822251 | − | 0.569125i | \(-0.807282\pi\) |
0.703261 | + | 0.710932i | \(0.251727\pi\) | |||||||
\(858\) | 160.312 | + | 440.454i | 0.186844 | + | 0.513350i | ||||
\(859\) | 248.664 | + | 1410.24i | 0.289481 | + | 1.64173i | 0.688825 | + | 0.724927i | \(0.258127\pi\) |
−0.399344 | + | 0.916801i | \(0.630762\pi\) | |||||||
\(860\) | 125.027 | − | 709.062i | 0.145380 | − | 0.824490i | ||||
\(861\) | 610.800 | + | 222.313i | 0.709408 | + | 0.258203i | ||||
\(862\) | −780.000 | − | 1351.00i | −0.904872 | − | 1.56728i | ||||
\(863\) | 112.410 | + | 64.8999i | 0.130255 | + | 0.0752027i | 0.563712 | − | 0.825972i | \(-0.309373\pi\) |
−0.433457 | + | 0.901174i | \(0.642706\pi\) | |||||||
\(864\) | 448.136 | − | 376.031i | 0.518676 | − | 0.435221i | ||||
\(865\) | −315.194 | − | 375.634i | −0.364386 | − | 0.434259i | ||||
\(866\) | −1326.00 | + | 2296.70i | −1.53118 | + | 2.65208i | ||||
\(867\) | 199.840 | − | 115.378i | 0.230496 | − | 0.133077i | ||||
\(868\) | −554.927 | + | 1524.65i | −0.639317 | + | 1.75651i | ||||
\(869\) | 355.077 | + | 62.6097i | 0.408605 | + | 0.0720480i | ||||
\(870\) | −923.201 | + | 162.785i | −1.06115 | + | 0.187110i | ||||
\(871\) | 134.376 | − | 48.9089i | 0.154278 | − | 0.0561526i | ||||
\(872\) | −2738.61 | − | 2297.97i | −3.14061 | − | 2.63528i | ||||
\(873\) | − | 490.355i | − | 0.561690i | ||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 680.000 | 0.777143 | ||||||||
\(876\) | −2190.14 | + | 2610.10i | −2.50015 | + | 2.97957i | ||||
\(877\) | −134.416 | − | 369.304i | −0.153268 | − | 0.421099i | 0.839167 | − | 0.543874i | \(-0.183043\pi\) |
−0.992435 | + | 0.122775i | \(0.960821\pi\) | |||||||
\(878\) | −496.634 | − | 2816.55i | −0.565642 | − | 3.20792i | ||||
\(879\) | −137.703 | + | 780.953i | −0.156659 | + | 0.888456i | ||||
\(880\) | 1090.04 | + | 396.743i | 1.23869 | + | 0.450845i | ||||
\(881\) | −375.000 | − | 649.519i | −0.425653 | − | 0.737252i | 0.570828 | − | 0.821069i | \(-0.306622\pi\) |
−0.996481 | + | 0.0838173i | \(0.973289\pi\) | |||||||
\(882\) | −299.760 | − | 173.066i | −0.339864 | − | 0.196220i | ||||
\(883\) | 91.9253 | − | 77.1345i | 0.104106 | − | 0.0873551i | −0.589249 | − | 0.807951i | \(-0.700576\pi\) |
0.693355 | + | 0.720596i | \(0.256132\pi\) | |||||||
\(884\) | −312.876 | − | 372.872i | −0.353933 | − | 0.421801i | ||||
\(885\) | −130.000 | + | 225.167i | −0.146893 | + | 0.254426i | ||||
\(886\) | 2092.07 | − | 1207.86i | 2.36126 | − | 1.36327i | ||||
\(887\) | 291.028 | − | 799.594i | 0.328104 | − | 0.901459i | −0.660487 | − | 0.750837i | \(-0.729650\pi\) |
0.988591 | − | 0.150622i | \(-0.0481275\pi\) | |||||||
\(888\) | 1384.80 | + | 244.178i | 1.55946 | + | 0.274975i | ||||
\(889\) | −639.139 | + | 112.698i | −0.718942 | + | 0.126769i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 773.705 | + | 649.215i | 0.868356 | + | 0.728637i | ||||
\(892\) | 1817.20i | 2.03722i | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 910.000 | 1.01790 | ||||||||
\(895\) | −92.7041 | + | 110.481i | −0.103580 | + | 0.123442i | ||||
\(896\) | 215.805 | + | 592.919i | 0.240854 | + | 0.661740i | ||||
\(897\) | 79.0099 | + | 448.088i | 0.0880824 | + | 0.499540i | ||||
\(898\) | 22.5743 | − | 128.025i | 0.0251384 | − | 0.142567i | ||||
\(899\) | −610.800 | − | 222.313i | −0.679422 | − | 0.247289i | ||||
\(900\) | 162.000 | + | 280.592i | 0.180000 | + | 0.311769i | ||||
\(901\) | 983.587 | + | 567.874i | 1.09166 | + | 0.630271i | ||||
\(902\) | 995.858 | − | 835.624i | 1.10406 | − | 0.926412i | ||||
\(903\) | −231.760 | − | 276.201i | −0.256656 | − | 0.305871i | ||||
\(904\) | 1105.00 | − | 1913.92i | 1.22235 | − | 2.11716i | ||||
\(905\) | 374.700 | − | 216.333i | 0.414033 | − | 0.239042i | ||||
\(906\) | 160.312 | − | 440.454i | 0.176945 | − | 0.486153i | ||||
\(907\) | −635.589 | − | 112.071i | −0.700759 | − | 0.123563i | −0.188094 | − | 0.982151i | \(-0.560231\pi\) |
−0.512666 | + | 0.858588i | \(0.671342\pi\) | |||||||
\(908\) | 2268.95 | − | 400.076i | 2.49884 | − | 0.440613i | ||||
\(909\) | −187.939 | + | 68.4040i | −0.206753 | + | 0.0752520i | ||||
\(910\) | 199.172 | + | 167.125i | 0.218870 | + | 0.183654i | ||||
\(911\) | − | 1225.89i | − | 1.34565i | −0.739802 | − | 0.672825i | \(-0.765081\pi\) | ||
0.739802 | − | 0.672825i | \(-0.234919\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 400.000 | 0.438116 | ||||||||
\(914\) | 1749.79 | − | 2085.32i | 1.91443 | − | 2.28153i | ||||
\(915\) | −197.307 | − | 542.098i | −0.215636 | − | 0.592456i | ||||
\(916\) | 250.053 | + | 1418.12i | 0.272984 | + | 1.54817i | ||||
\(917\) | −97.2430 | + | 551.492i | −0.106045 | + | 0.601409i | ||||
\(918\) | −916.200 | − | 333.470i | −0.998040 | − | 0.363257i | ||||
\(919\) | 256.500 | + | 444.271i | 0.279108 | + | 0.483429i | 0.971163 | − | 0.238416i | \(-0.0766280\pi\) |
−0.692056 | + | 0.721844i | \(0.743295\pi\) | |||||||
\(920\) | 2185.75 | + | 1261.94i | 2.37581 | + | 1.37168i | ||||
\(921\) | 657.266 | − | 551.512i | 0.713644 | − | 0.598818i | ||||
\(922\) | 1789.19 | + | 2132.27i | 1.94055 | + | 2.31266i | ||||
\(923\) | 195.000 | − | 337.750i | 0.211268 | − | 0.365926i | ||||
\(924\) | 1405.12 | − | 811.249i | 1.52070 | − | 0.877975i | ||||
\(925\) | 66.5912 | − | 182.958i | 0.0719905 | − | 0.197792i | ||||
\(926\) | −1242.77 | − | 219.134i | −1.34209 | − | 0.236646i | ||||
\(927\) | 227.250 | − | 40.0702i | 0.245145 | − | 0.0432257i | ||||
\(928\) | 549.720 | − | 200.082i | 0.592371 | − | 0.215605i | ||||
\(929\) | −932.276 | − | 782.273i | −1.00353 | − | 0.842059i | −0.0160574 | − | 0.999871i | \(-0.505111\pi\) |
−0.987469 | + | 0.157812i | \(0.949556\pi\) | |||||||
\(930\) | − | 1874.89i | − | 2.01601i | ||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 2430.00 | 2.60730 | ||||||||
\(933\) | 915.453 | − | 1090.99i | 0.981193 | − | 1.16934i | ||||
\(934\) | −86.3220 | − | 237.168i | −0.0924218 | − | 0.253927i | ||||
\(935\) | −104.189 | − | 590.885i | −0.111432 | − | 0.631962i | ||||
\(936\) | −45.1485 | + | 256.050i | −0.0482356 | + | 0.273558i | ||||
\(937\) | 1028.96 | + | 374.512i | 1.09815 | + | 0.399693i | 0.826633 | − | 0.562742i | \(-0.190253\pi\) |
0.271514 | + | 0.962435i | \(0.412476\pi\) | |||||||
\(938\) | −357.500 | − | 619.208i | −0.381130 | − | 0.660137i | ||||
\(939\) | 390.312 | + | 225.347i | 0.415668 | + | 0.239986i | ||||
\(940\) | −275.776 | + | 231.404i | −0.293379 | + | 0.246174i | ||||
\(941\) | 706.869 | + | 842.414i | 0.751189 | + | 0.895233i | 0.997257 | − | 0.0740202i | \(-0.0235829\pi\) |
−0.246067 | + | 0.969253i | \(0.579138\pi\) | |||||||
\(942\) | −65.0000 | + | 112.583i | −0.0690021 | + | 0.119515i | ||||
\(943\) | 1092.87 | − | 630.971i | 1.15893 | − | 0.669111i | ||||
\(944\) | 178.810 | − | 491.276i | 0.189417 | − | 0.520419i | ||||
\(945\) | 355.077 | + | 62.6097i | 0.375743 | + | 0.0662537i | ||||
\(946\) | −710.155 | + | 125.219i | −0.750692 | + | 0.132367i | ||||
\(947\) | −601.403 | + | 218.893i | −0.635062 | + | 0.231143i | −0.639433 | − | 0.768847i | \(-0.720831\pi\) |
0.00437131 | + | 0.999990i | \(0.498609\pi\) | |||||||
\(948\) | 896.272 | + | 752.062i | 0.945435 | + | 0.793314i | ||||
\(949\) | 378.583i | 0.398928i | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 13.0000 | 0.0136698 | ||||||||
\(952\) | −869.101 | + | 1035.75i | −0.912922 | + | 1.08798i | ||||
\(953\) | −399.547 | − | 1097.75i | −0.419252 | − | 1.15189i | −0.952130 | − | 0.305694i | \(-0.901112\pi\) |
0.532878 | − | 0.846192i | \(-0.321111\pi\) | |||||||
\(954\) | −189.624 | − | 1075.41i | −0.198767 | − | 1.12726i | ||||
\(955\) | 134.056 | − | 760.272i | 0.140373 | − | 0.796096i | ||||
\(956\) | 1666.08 | + | 606.402i | 1.74276 | + | 0.634311i | ||||
\(957\) | 325.000 | + | 562.917i | 0.339603 | + | 0.588210i | ||||
\(958\) | 1155.32 | + | 667.027i | 1.20598 | + | 0.696270i | ||||
\(959\) | −478.778 | + | 401.742i | −0.499247 | + | 0.418918i | ||||
\(960\) | 9.27041 | + | 11.0481i | 0.00965668 | + | 0.0115084i | ||||
\(961\) | 169.500 | − | 293.583i | 0.176379 | − | 0.305497i | ||||
\(962\) | 243.555 | − | 140.616i | 0.253176 | − | 0.146171i | ||||
\(963\) | −103.586 | + | 284.601i | −0.107566 | + | 0.295536i | ||||
\(964\) | −3515.27 | − | 619.836i | −3.64654 | − | 0.642984i | ||||
\(965\) | −1051.03 | + | 185.325i | −1.08915 | + | 0.192046i | ||||
\(966\) | 2137.80 | − | 778.096i | 2.21304 | − | 0.805482i | ||||
\(967\) | −773.705 | − | 649.215i | −0.800108 | − | 0.671371i | 0.148117 | − | 0.988970i | \(-0.452679\pi\) |
−0.948225 | + | 0.317599i | \(0.897123\pi\) | |||||||
\(968\) | 378.583i | 0.391098i | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −1768.00 | −1.82268 | ||||||||
\(971\) | 486.697 | − | 580.023i | 0.501233 | − | 0.597346i | −0.454805 | − | 0.890591i | \(-0.650291\pi\) |
0.956037 | + | 0.293246i | \(0.0947354\pi\) | |||||||
\(972\) | 621.518 | + | 1707.61i | 0.639422 | + | 1.75680i | ||||
\(973\) | −43.4120 | − | 246.202i | −0.0446167 | − | 0.253034i | ||||
\(974\) | 325.069 | − | 1843.56i | 0.333747 | − | 1.89277i | ||||
\(975\) | 109.944 | + | 40.0164i | 0.112763 | + | 0.0410424i | ||||
\(976\) | 580.000 | + | 1004.59i | 0.594262 | + | 1.02929i | ||||
\(977\) | −518.335 | − | 299.261i | −0.530537 | − | 0.306306i | 0.210698 | − | 0.977551i | \(-0.432426\pi\) |
−0.741235 | + | 0.671245i | \(0.765760\pi\) | |||||||
\(978\) | −2688.82 | + | 2256.18i | −2.74930 | + | 2.30694i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −432.000 | + | 748.246i | −0.440816 | + | 0.763516i | ||||
\(981\) | 686.950 | − | 396.611i | 0.700255 | − | 0.404292i | ||||
\(982\) | −779.364 | + | 2141.29i | −0.793650 | + | 2.18054i | ||||
\(983\) | 56.8124 | + | 10.0176i | 0.0577949 | + | 0.0101908i | 0.202471 | − | 0.979288i | \(-0.435103\pi\) |
−0.144676 | + | 0.989479i | \(0.546214\pi\) | |||||||
\(984\) | 2308.00 | − | 406.963i | 2.34553 | − | 0.413581i | ||||
\(985\) | −338.289 | + | 123.127i | −0.343441 | + | 0.125002i | ||||
\(986\) | −746.893 | − | 626.718i | −0.757498 | − | 0.635617i | ||||
\(987\) | 180.278i | 0.182652i | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −700.000 | −0.707786 | ||||||||
\(990\) | −370.817 | + | 441.922i | −0.374562 | + | 0.446386i | ||||
\(991\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(992\) | 203.168 | + | 1152.23i | 0.204807 | + | 1.16152i | ||||
\(993\) | −124.158 | + | 704.138i | −0.125034 | + | 0.709101i | ||||
\(994\) | −1832.40 | − | 666.939i | −1.84346 | − | 0.670965i | ||||
\(995\) | −246.000 | − | 426.084i | −0.247236 | − | 0.428226i | ||||
\(996\) | 1124.10 | + | 648.999i | 1.12861 | + | 0.651606i | ||||
\(997\) | −130.228 | + | 109.274i | −0.130619 | + | 0.109603i | −0.705757 | − | 0.708454i | \(-0.749393\pi\) |
0.575138 | + | 0.818057i | \(0.304949\pi\) | |||||||
\(998\) | 880.689 | + | 1049.56i | 0.882454 | + | 1.05167i | ||||
\(999\) | 195.000 | − | 337.750i | 0.195195 | − | 0.338088i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))