Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(59,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.r (of order \(10\), degree \(4\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 59.18 | ||
Character | \(\chi\) | \(=\) | 300.59 |
Dual form | 300.2.r.a.239.18 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.724994 | − | 1.21424i | −0.512648 | − | 0.858599i | ||||
\(3\) | −1.03587 | + | 1.38816i | −0.598057 | + | 0.801453i | ||||
\(4\) | −0.948767 | + | 1.76064i | −0.474383 | + | 0.880318i | ||||
\(5\) | 1.94623 | − | 1.10099i | 0.870383 | − | 0.492376i | ||||
\(6\) | 2.43656 | + | 0.251385i | 0.994720 | + | 0.102628i | ||||
\(7\) | −2.63015 | −0.994104 | −0.497052 | − | 0.867721i | \(-0.665584\pi\) | ||||
−0.497052 | + | 0.867721i | \(0.665584\pi\) | |||||||
\(8\) | 2.82569 | − | 0.124420i | 0.999032 | − | 0.0439890i | ||||
\(9\) | −0.853964 | − | 2.87589i | −0.284655 | − | 0.958630i | ||||
\(10\) | −2.74787 | − | 1.56499i | −0.868954 | − | 0.494893i | ||||
\(11\) | 0.908434 | + | 0.660016i | 0.273903 | + | 0.199002i | 0.716254 | − | 0.697840i | \(-0.245855\pi\) |
−0.442351 | + | 0.896842i | \(0.645855\pi\) | |||||||
\(12\) | −1.46125 | − | 3.14082i | −0.421826 | − | 0.906677i | ||||
\(13\) | 4.15899 | + | 5.72437i | 1.15350 | + | 1.58765i | 0.732787 | + | 0.680459i | \(0.238219\pi\) |
0.420711 | + | 0.907195i | \(0.361781\pi\) | |||||||
\(14\) | 1.90685 | + | 3.19364i | 0.509626 | + | 0.853536i | ||||
\(15\) | −0.487695 | + | 3.84215i | −0.125922 | + | 0.992040i | ||||
\(16\) | −2.19968 | − | 3.34087i | −0.549921 | − | 0.835217i | ||||
\(17\) | −1.53447 | + | 4.72262i | −0.372164 | + | 1.14540i | 0.573207 | + | 0.819410i | \(0.305699\pi\) |
−0.945372 | + | 0.325994i | \(0.894301\pi\) | |||||||
\(18\) | −2.87291 | + | 3.12192i | −0.677151 | + | 0.735844i | ||||
\(19\) | 6.71489 | + | 2.18180i | 1.54050 | + | 0.500539i | 0.951515 | − | 0.307604i | \(-0.0995271\pi\) |
0.588986 | + | 0.808143i | \(0.299527\pi\) | |||||||
\(20\) | 0.0919154 | + | 4.47119i | 0.0205529 | + | 0.999789i | ||||
\(21\) | 2.72448 | − | 3.65107i | 0.594531 | − | 0.796728i | ||||
\(22\) | 0.142809 | − | 1.58157i | 0.0304471 | − | 0.337191i | ||||
\(23\) | −1.81587 | + | 2.49933i | −0.378635 | + | 0.521147i | −0.955222 | − | 0.295889i | \(-0.904384\pi\) |
0.576587 | + | 0.817036i | \(0.304384\pi\) | |||||||
\(24\) | −2.75432 | + | 4.05138i | −0.562223 | + | 0.826985i | ||||
\(25\) | 2.57566 | − | 4.28556i | 0.515131 | − | 0.857111i | ||||
\(26\) | 3.93552 | − | 9.20016i | 0.771818 | − | 1.80430i | ||||
\(27\) | 4.87678 | + | 1.79360i | 0.938537 | + | 0.345178i | ||||
\(28\) | 2.49540 | − | 4.63074i | 0.471586 | − | 0.875128i | ||||
\(29\) | −0.240777 | + | 0.0782332i | −0.0447112 | + | 0.0145275i | −0.331287 | − | 0.943530i | \(-0.607483\pi\) |
0.286576 | + | 0.958058i | \(0.407483\pi\) | |||||||
\(30\) | 5.01888 | − | 2.19336i | 0.916318 | − | 0.400451i | ||||
\(31\) | 4.71722 | + | 1.53272i | 0.847237 | + | 0.275284i | 0.700288 | − | 0.713860i | \(-0.253055\pi\) |
0.146949 | + | 0.989144i | \(0.453055\pi\) | |||||||
\(32\) | −2.46186 | + | 5.09306i | −0.435200 | + | 0.900334i | ||||
\(33\) | −1.85722 | + | 0.577362i | −0.323301 | + | 0.100506i | ||||
\(34\) | 6.84689 | − | 1.56065i | 1.17423 | − | 0.267650i | ||||
\(35\) | −5.11889 | + | 2.89576i | −0.865251 | + | 0.489473i | ||||
\(36\) | 5.87361 | + | 1.22503i | 0.978935 | + | 0.204171i | ||||
\(37\) | −2.57019 | − | 3.53756i | −0.422536 | − | 0.581571i | 0.543684 | − | 0.839290i | \(-0.317029\pi\) |
−0.966220 | + | 0.257719i | \(0.917029\pi\) | |||||||
\(38\) | −2.21902 | − | 9.73529i | −0.359973 | − | 1.57927i | ||||
\(39\) | −12.2545 | − | 0.156333i | −1.96229 | − | 0.0250334i | ||||
\(40\) | 5.36247 | − | 3.35320i | 0.847881 | − | 0.530187i | ||||
\(41\) | 2.13451 | + | 2.93790i | 0.333354 | + | 0.458823i | 0.942486 | − | 0.334247i | \(-0.108482\pi\) |
−0.609131 | + | 0.793069i | \(0.708482\pi\) | |||||||
\(42\) | −6.40851 | − | 0.661181i | −0.988855 | − | 0.102022i | ||||
\(43\) | −7.40077 | −1.12861 | −0.564303 | − | 0.825567i | \(-0.690855\pi\) | ||||
−0.564303 | + | 0.825567i | \(0.690855\pi\) | |||||||
\(44\) | −2.02394 | + | 0.973221i | −0.305120 | + | 0.146719i | ||||
\(45\) | −4.82833 | − | 4.65695i | −0.719765 | − | 0.694218i | ||||
\(46\) | 4.35129 | + | 0.392905i | 0.641563 | + | 0.0579307i | ||||
\(47\) | 9.30818 | − | 3.02441i | 1.35774 | − | 0.441156i | 0.462451 | − | 0.886645i | \(-0.346970\pi\) |
0.895287 | + | 0.445489i | \(0.146970\pi\) | |||||||
\(48\) | 6.91623 | + | 0.407181i | 0.998271 | + | 0.0587715i | ||||
\(49\) | −0.0823015 | −0.0117574 | ||||||||
\(50\) | −7.07104 | − | 0.0204672i | −0.999996 | − | 0.00289449i | ||||
\(51\) | −4.96624 | − | 7.02209i | −0.695412 | − | 0.983290i | ||||
\(52\) | −14.0244 | + | 1.89139i | −1.94484 | + | 0.262289i | ||||
\(53\) | 0.355319 | + | 1.09356i | 0.0488068 | + | 0.150212i | 0.972490 | − | 0.232946i | \(-0.0748366\pi\) |
−0.923683 | + | 0.383158i | \(0.874837\pi\) | |||||||
\(54\) | −1.35777 | − | 7.22194i | −0.184770 | − | 0.982782i | ||||
\(55\) | 2.49469 | + | 0.284372i | 0.336384 | + | 0.0383447i | ||||
\(56\) | −7.43199 | + | 0.327243i | −0.993142 | + | 0.0437296i | ||||
\(57\) | −9.98440 | + | 7.06127i | −1.32247 | + | 0.935288i | ||||
\(58\) | 0.269556 | + | 0.235643i | 0.0353944 | + | 0.0309414i | ||||
\(59\) | −1.37468 | + | 0.998760i | −0.178967 | + | 0.130027i | −0.673662 | − | 0.739039i | \(-0.735280\pi\) |
0.494695 | + | 0.869067i | \(0.335280\pi\) | |||||||
\(60\) | −6.30193 | − | 4.50396i | −0.813576 | − | 0.581459i | ||||
\(61\) | −3.31802 | − | 2.41068i | −0.424829 | − | 0.308656i | 0.354749 | − | 0.934962i | \(-0.384566\pi\) |
−0.779578 | + | 0.626305i | \(0.784566\pi\) | |||||||
\(62\) | −1.55887 | − | 6.83905i | −0.197976 | − | 0.868560i | ||||
\(63\) | 2.24605 | + | 7.56403i | 0.282976 | + | 0.952978i | ||||
\(64\) | 7.96904 | − | 0.703143i | 0.996130 | − | 0.0878929i | ||||
\(65\) | 14.3968 | + | 6.56196i | 1.78571 | + | 0.813911i | ||||
\(66\) | 2.04753 | + | 1.83653i | 0.252034 | + | 0.226061i | ||||
\(67\) | 0.555298 | − | 1.70903i | 0.0678404 | − | 0.208791i | −0.911389 | − | 0.411545i | \(-0.864989\pi\) |
0.979230 | + | 0.202754i | \(0.0649892\pi\) | |||||||
\(68\) | −6.85897 | − | 7.18232i | −0.831772 | − | 0.870984i | ||||
\(69\) | −1.58847 | − | 5.10969i | −0.191229 | − | 0.615134i | ||||
\(70\) | 7.22732 | + | 4.11616i | 0.863830 | + | 0.491975i | ||||
\(71\) | −2.17375 | − | 6.69012i | −0.257977 | − | 0.793971i | −0.993229 | − | 0.116177i | \(-0.962936\pi\) |
0.735252 | − | 0.677794i | \(-0.237064\pi\) | |||||||
\(72\) | −2.77085 | − | 8.02012i | −0.326548 | − | 0.945181i | ||||
\(73\) | −1.35514 | + | 1.86519i | −0.158607 | + | 0.218304i | −0.880924 | − | 0.473259i | \(-0.843078\pi\) |
0.722316 | + | 0.691563i | \(0.243078\pi\) | |||||||
\(74\) | −2.43208 | + | 5.68554i | −0.282724 | + | 0.660931i | ||||
\(75\) | 3.28099 | + | 8.01468i | 0.378856 | + | 0.925455i | ||||
\(76\) | −10.2122 | + | 9.75246i | −1.17142 | + | 1.11868i | ||||
\(77\) | −2.38932 | − | 1.73594i | −0.272288 | − | 0.197829i | ||||
\(78\) | 8.69460 | + | 14.9932i | 0.984470 | + | 1.69765i | ||||
\(79\) | 5.36703 | − | 1.74385i | 0.603838 | − | 0.196199i | 0.00888659 | − | 0.999961i | \(-0.497171\pi\) |
0.594951 | + | 0.803762i | \(0.297171\pi\) | |||||||
\(80\) | −7.95935 | − | 4.08029i | −0.889882 | − | 0.456190i | ||||
\(81\) | −7.54149 | + | 4.91181i | −0.837943 | + | 0.545757i | ||||
\(82\) | 2.01981 | − | 4.72177i | 0.223051 | − | 0.521432i | ||||
\(83\) | −8.73160 | − | 2.83707i | −0.958418 | − | 0.311409i | −0.212286 | − | 0.977208i | \(-0.568091\pi\) |
−0.746131 | + | 0.665799i | \(0.768091\pi\) | |||||||
\(84\) | 3.84330 | + | 8.26084i | 0.419339 | + | 0.901331i | ||||
\(85\) | 2.21310 | + | 10.8808i | 0.240044 | + | 1.18018i | ||||
\(86\) | 5.36552 | + | 8.98632i | 0.578578 | + | 0.969020i | ||||
\(87\) | 0.140813 | − | 0.415276i | 0.0150967 | − | 0.0445222i | ||||
\(88\) | 2.64907 | + | 1.75197i | 0.282392 | + | 0.186761i | ||||
\(89\) | −7.11762 | + | 9.79656i | −0.754466 | + | 1.03843i | 0.243188 | + | 0.969979i | \(0.421807\pi\) |
−0.997654 | + | 0.0684541i | \(0.978193\pi\) | |||||||
\(90\) | −2.15416 | + | 9.23903i | −0.227068 | + | 0.973879i | ||||
\(91\) | −10.9388 | − | 15.0559i | −1.14670 | − | 1.57829i | ||||
\(92\) | −2.67758 | − | 5.56837i | −0.279157 | − | 0.580543i | ||||
\(93\) | −7.01406 | + | 4.96055i | −0.727324 | + | 0.514385i | ||||
\(94\) | −10.4207 | − | 9.10970i | −1.07482 | − | 0.939594i | ||||
\(95\) | 15.4709 | − | 3.14671i | 1.58728 | − | 0.322845i | ||||
\(96\) | −4.51981 | − | 8.69318i | −0.461301 | − | 0.887244i | ||||
\(97\) | 1.59344 | − | 0.517741i | 0.161790 | − | 0.0525686i | −0.227002 | − | 0.973894i | \(-0.572892\pi\) |
0.388792 | + | 0.921326i | \(0.372892\pi\) | |||||||
\(98\) | 0.0596681 | + | 0.0999340i | 0.00602739 | + | 0.0100949i | ||||
\(99\) | 1.12236 | − | 3.17619i | 0.112802 | − | 0.319219i | ||||
\(100\) | 5.10161 | + | 8.60079i | 0.510161 | + | 0.860079i | ||||
\(101\) | 1.05180i | 0.104658i | 0.998630 | + | 0.0523288i | \(0.0166644\pi\) | ||||
−0.998630 | + | 0.0523288i | \(0.983336\pi\) | |||||||
\(102\) | −4.92603 | + | 11.1212i | −0.487749 | + | 1.10116i | ||||
\(103\) | −1.57304 | − | 4.84133i | −0.154997 | − | 0.477030i | 0.843164 | − | 0.537657i | \(-0.180690\pi\) |
−0.998161 | + | 0.0606261i | \(0.980690\pi\) | |||||||
\(104\) | 12.4643 | + | 15.6578i | 1.22222 | + | 1.53538i | ||||
\(105\) | 1.28271 | − | 10.1055i | 0.125180 | − | 0.986191i | ||||
\(106\) | 1.07024 | − | 1.22427i | 0.103951 | − | 0.118911i | ||||
\(107\) | − | 11.2872i | − | 1.09117i | −0.838054 | − | 0.545587i | \(-0.816307\pi\) | ||
0.838054 | − | 0.545587i | \(-0.183693\pi\) | |||||||
\(108\) | −7.78481 | + | 6.88453i | −0.749093 | + | 0.662465i | ||||
\(109\) | 11.8212 | − | 8.58863i | 1.13227 | − | 0.822642i | 0.146246 | − | 0.989248i | \(-0.453281\pi\) |
0.986023 | + | 0.166606i | \(0.0532809\pi\) | |||||||
\(110\) | −1.46334 | − | 3.23533i | −0.139524 | − | 0.308477i | ||||
\(111\) | 7.57306 | + | 0.0966114i | 0.718803 | + | 0.00916995i | ||||
\(112\) | 5.78550 | + | 8.78699i | 0.546679 | + | 0.830292i | ||||
\(113\) | −0.338001 | + | 0.245572i | −0.0317964 | + | 0.0231015i | −0.603570 | − | 0.797310i | \(-0.706256\pi\) |
0.571774 | + | 0.820411i | \(0.306256\pi\) | |||||||
\(114\) | 15.8127 | + | 7.00410i | 1.48100 | + | 0.655994i | ||||
\(115\) | −0.782380 | + | 6.86353i | −0.0729573 | + | 0.640028i | ||||
\(116\) | 0.0907009 | − | 0.498146i | 0.00842137 | − | 0.0462517i | ||||
\(117\) | 12.9110 | − | 16.8492i | 1.19362 | − | 1.55771i | ||||
\(118\) | 2.20937 | + | 0.945093i | 0.203389 | + | 0.0870028i | ||||
\(119\) | 4.03590 | − | 12.4212i | 0.369970 | − | 1.13865i | ||||
\(120\) | −0.900034 | + | 10.9174i | −0.0821615 | + | 0.996619i | ||||
\(121\) | −3.00956 | − | 9.26246i | −0.273596 | − | 0.842042i | ||||
\(122\) | −0.521606 | + | 5.77661i | −0.0472240 | + | 0.522990i | ||||
\(123\) | −6.28933 | − | 0.0802346i | −0.567090 | − | 0.00723451i | ||||
\(124\) | −7.17409 | + | 6.85111i | −0.644253 | + | 0.615248i | ||||
\(125\) | 0.294494 | − | 11.1765i | 0.0263403 | − | 0.999653i | ||||
\(126\) | 7.55618 | − | 8.21113i | 0.673158 | − | 0.731506i | ||||
\(127\) | −4.02987 | − | 2.92787i | −0.357593 | − | 0.259806i | 0.394455 | − | 0.918915i | \(-0.370934\pi\) |
−0.752047 | + | 0.659109i | \(0.770934\pi\) | |||||||
\(128\) | −6.63129 | − | 9.16657i | −0.586129 | − | 0.810218i | ||||
\(129\) | 7.66620 | − | 10.2734i | 0.674972 | − | 0.904526i | ||||
\(130\) | −2.46981 | − | 22.2386i | −0.216617 | − | 1.95046i | ||||
\(131\) | −3.79895 | + | 11.6920i | −0.331916 | + | 1.02153i | 0.636305 | + | 0.771438i | \(0.280462\pi\) |
−0.968221 | + | 0.250095i | \(0.919538\pi\) | |||||||
\(132\) | 0.745545 | − | 3.81767i | 0.0648914 | − | 0.332286i | ||||
\(133\) | −17.6612 | − | 5.73846i | −1.53142 | − | 0.497588i | ||||
\(134\) | −2.47777 | + | 0.564772i | −0.214046 | + | 0.0487889i | ||||
\(135\) | 11.4661 | − | 1.87850i | 0.986844 | − | 0.161676i | ||||
\(136\) | −3.74836 | + | 13.5356i | −0.321419 | + | 1.16067i | ||||
\(137\) | 9.02585 | − | 6.55766i | 0.771131 | − | 0.560259i | −0.131174 | − | 0.991359i | \(-0.541874\pi\) |
0.902304 | + | 0.431100i | \(0.141874\pi\) | |||||||
\(138\) | −5.05277 | + | 5.63328i | −0.430120 | + | 0.479537i | ||||
\(139\) | 5.92738 | − | 8.15834i | 0.502754 | − | 0.691982i | −0.479922 | − | 0.877311i | \(-0.659335\pi\) |
0.982676 | + | 0.185329i | \(0.0593352\pi\) | |||||||
\(140\) | −0.241751 | − | 11.7599i | −0.0204317 | − | 0.993894i | ||||
\(141\) | −5.44367 | + | 16.0541i | −0.458440 | + | 1.35200i | ||||
\(142\) | −6.54746 | + | 7.48976i | −0.549451 | + | 0.628526i | ||||
\(143\) | 7.94521i | 0.664412i | ||||||||
\(144\) | −7.72952 | + | 9.17903i | −0.644126 | + | 0.764919i | ||||
\(145\) | −0.382475 | + | 0.417352i | −0.0317628 | + | 0.0346592i | ||||
\(146\) | 3.24727 | + | 0.293216i | 0.268746 | + | 0.0242667i | ||||
\(147\) | 0.0852534 | − | 0.114248i | 0.00703158 | − | 0.00942298i | ||||
\(148\) | 8.66687 | − | 1.16885i | 0.712412 | − | 0.0960788i | ||||
\(149\) | 1.07076i | 0.0877200i | 0.999038 | + | 0.0438600i | \(0.0139656\pi\) | ||||
−0.999038 | + | 0.0438600i | \(0.986034\pi\) | |||||||
\(150\) | 7.35306 | − | 9.79452i | 0.600375 | − | 0.799719i | ||||
\(151\) | 8.74944i | 0.712019i | 0.934482 | + | 0.356010i | \(0.115863\pi\) | ||||
−0.934482 | + | 0.356010i | \(0.884137\pi\) | |||||||
\(152\) | 19.2456 | + | 5.32962i | 1.56103 | + | 0.432289i | ||||
\(153\) | 14.8921 | + | 0.380027i | 1.20396 | + | 0.0307234i | ||||
\(154\) | −0.375610 | + | 4.15976i | −0.0302676 | + | 0.335203i | ||||
\(155\) | 10.8683 | − | 2.21057i | 0.872964 | − | 0.177557i | ||||
\(156\) | 11.9019 | − | 21.4274i | 0.952914 | − | 1.71556i | ||||
\(157\) | 2.09182i | 0.166945i | 0.996510 | + | 0.0834727i | \(0.0266011\pi\) | ||||
−0.996510 | + | 0.0834727i | \(0.973399\pi\) | |||||||
\(158\) | −6.00853 | − | 5.25259i | −0.478013 | − | 0.417873i | ||||
\(159\) | −1.88609 | − | 0.639541i | −0.149577 | − | 0.0507189i | ||||
\(160\) | 0.816029 | + | 12.6228i | 0.0645127 | + | 0.997917i | ||||
\(161\) | 4.77602 | − | 6.57362i | 0.376403 | − | 0.518074i | ||||
\(162\) | 11.4317 | + | 5.59616i | 0.898157 | + | 0.439676i | ||||
\(163\) | −8.04275 | + | 5.84340i | −0.629957 | + | 0.457691i | −0.856385 | − | 0.516337i | \(-0.827295\pi\) |
0.226428 | + | 0.974028i | \(0.427295\pi\) | |||||||
\(164\) | −7.19772 | + | 0.970714i | −0.562048 | + | 0.0758000i | ||||
\(165\) | −2.97892 | + | 3.16846i | −0.231909 | + | 0.246664i | ||||
\(166\) | 2.88547 | + | 12.6591i | 0.223956 | + | 0.982539i | ||||
\(167\) | 19.9594 | + | 6.48519i | 1.54450 | + | 0.501839i | 0.952614 | − | 0.304180i | \(-0.0983826\pi\) |
0.591888 | + | 0.806020i | \(0.298383\pi\) | |||||||
\(168\) | 7.24428 | − | 10.6558i | 0.558908 | − | 0.822109i | ||||
\(169\) | −11.4539 | + | 35.2515i | −0.881069 | + | 2.71165i | ||||
\(170\) | 11.6074 | − | 10.5757i | 0.890247 | − | 0.811122i | ||||
\(171\) | 0.540344 | − | 21.1745i | 0.0413211 | − | 1.61925i | ||||
\(172\) | 7.02160 | − | 13.0301i | 0.535392 | − | 0.993533i | ||||
\(173\) | 7.84149 | + | 5.69717i | 0.596177 | + | 0.433148i | 0.844520 | − | 0.535524i | \(-0.179886\pi\) |
−0.248343 | + | 0.968672i | \(0.579886\pi\) | |||||||
\(174\) | −0.606334 | + | 0.130092i | −0.0459660 | + | 0.00986224i | ||||
\(175\) | −6.77437 | + | 11.2717i | −0.512094 | + | 0.852058i | ||||
\(176\) | 0.206757 | − | 4.48678i | 0.0155849 | − | 0.338204i | ||||
\(177\) | 0.0375426 | − | 2.94285i | 0.00282188 | − | 0.221198i | ||||
\(178\) | 17.0556 | + | 1.54006i | 1.27837 | + | 0.115432i | ||||
\(179\) | −1.49678 | − | 4.60660i | −0.111874 | − | 0.344314i | 0.879408 | − | 0.476069i | \(-0.157939\pi\) |
−0.991282 | + | 0.131755i | \(0.957939\pi\) | |||||||
\(180\) | 12.7802 | − | 4.08257i | 0.952577 | − | 0.304297i | ||||
\(181\) | 3.10362 | − | 9.55197i | 0.230691 | − | 0.709993i | −0.766973 | − | 0.641679i | \(-0.778238\pi\) |
0.997664 | − | 0.0683137i | \(-0.0217619\pi\) | |||||||
\(182\) | −10.3510 | + | 24.1978i | −0.767268 | + | 1.79366i | ||||
\(183\) | 6.78343 | − | 2.10879i | 0.501446 | − | 0.155886i | ||||
\(184\) | −4.82012 | + | 7.28826i | −0.355344 | + | 0.537298i | ||||
\(185\) | −8.89700 | − | 4.05518i | −0.654120 | − | 0.298143i | ||||
\(186\) | 11.1085 | + | 4.92039i | 0.814512 | + | 0.360780i | ||||
\(187\) | −4.51097 | + | 3.27741i | −0.329875 | + | 0.239668i | ||||
\(188\) | −3.50640 | + | 19.2578i | −0.255731 | + | 1.40452i | ||||
\(189\) | −12.8267 | − | 4.71744i | −0.933003 | − | 0.343143i | ||||
\(190\) | −15.0372 | − | 16.5040i | −1.09091 | − | 1.19733i | ||||
\(191\) | −15.7612 | + | 11.4511i | −1.14044 | + | 0.828576i | −0.987180 | − | 0.159610i | \(-0.948976\pi\) |
−0.153257 | + | 0.988186i | \(0.548976\pi\) | |||||||
\(192\) | −7.27878 | + | 11.7906i | −0.525301 | + | 0.850917i | ||||
\(193\) | 3.72982i | 0.268478i | 0.990949 | + | 0.134239i | \(0.0428590\pi\) | ||||
−0.990949 | + | 0.134239i | \(0.957141\pi\) | |||||||
\(194\) | −1.78390 | − | 1.55947i | −0.128077 | − | 0.111963i | ||||
\(195\) | −24.0222 | + | 13.1878i | −1.72027 | + | 0.944395i | ||||
\(196\) | 0.0780849 | − | 0.144903i | 0.00557750 | − | 0.0103502i | ||||
\(197\) | 1.87126 | + | 5.75914i | 0.133322 | + | 0.410322i | 0.995325 | − | 0.0965806i | \(-0.0307906\pi\) |
−0.862004 | + | 0.506902i | \(0.830791\pi\) | |||||||
\(198\) | −4.67036 | + | 0.939896i | −0.331908 | + | 0.0667955i | ||||
\(199\) | − | 4.07539i | − | 0.288896i | −0.989512 | − | 0.144448i | \(-0.953859\pi\) | ||
0.989512 | − | 0.144448i | \(-0.0461407\pi\) | |||||||
\(200\) | 6.74480 | − | 12.4301i | 0.476929 | − | 0.878942i | ||||
\(201\) | 1.79719 | + | 2.54117i | 0.126764 | + | 0.179240i | ||||
\(202\) | 1.27713 | − | 0.762546i | 0.0898589 | − | 0.0536525i | ||||
\(203\) | 0.633280 | − | 0.205765i | 0.0444476 | − | 0.0144419i | ||||
\(204\) | 17.0752 | − | 2.08141i | 1.19550 | − | 0.145728i | ||||
\(205\) | 7.38884 | + | 3.36777i | 0.516059 | + | 0.235216i | ||||
\(206\) | −4.73810 | + | 5.41999i | −0.330119 | + | 0.377629i | ||||
\(207\) | 8.73849 | + | 3.08791i | 0.607367 | + | 0.214624i | ||||
\(208\) | 9.97587 | − | 26.4864i | 0.691702 | − | 1.83650i | ||||
\(209\) | 4.66001 | + | 6.41395i | 0.322340 | + | 0.443662i | ||||
\(210\) | −13.2004 | + | 5.76887i | −0.910915 | + | 0.398090i | ||||
\(211\) | 5.14590 | − | 7.08272i | 0.354258 | − | 0.487594i | −0.594280 | − | 0.804258i | \(-0.702563\pi\) |
0.948538 | + | 0.316664i | \(0.102563\pi\) | |||||||
\(212\) | −2.26247 | − | 0.411944i | −0.155387 | − | 0.0282924i | ||||
\(213\) | 11.5387 | + | 3.91256i | 0.790616 | + | 0.268084i | ||||
\(214\) | −13.7054 | + | 8.18316i | −0.936881 | + | 0.559389i | ||||
\(215\) | −14.4036 | + | 8.14815i | −0.982320 | + | 0.555699i | ||||
\(216\) | 14.0034 | + | 4.46139i | 0.952813 | + | 0.303559i | ||||
\(217\) | −12.4070 | − | 4.03128i | −0.842242 | − | 0.273661i | ||||
\(218\) | −18.9990 | − | 8.12713i | −1.28678 | − | 0.550439i | ||||
\(219\) | −1.18544 | − | 3.81324i | −0.0801044 | − | 0.257675i | ||||
\(220\) | −2.86756 | + | 4.12245i | −0.193331 | + | 0.277935i | ||||
\(221\) | −33.4159 | + | 10.8575i | −2.24780 | + | 0.730353i | ||||
\(222\) | −5.37312 | − | 9.26557i | −0.360620 | − | 0.621864i | ||||
\(223\) | 2.60197 | + | 1.89044i | 0.174241 | + | 0.126593i | 0.671488 | − | 0.741016i | \(-0.265656\pi\) |
−0.497247 | + | 0.867609i | \(0.665656\pi\) | |||||||
\(224\) | 6.47507 | − | 13.3955i | 0.432634 | − | 0.895026i | ||||
\(225\) | −14.5243 | − | 3.74760i | −0.968287 | − | 0.249840i | ||||
\(226\) | 0.543232 | + | 0.232376i | 0.0361353 | + | 0.0154574i | ||||
\(227\) | 6.51885 | − | 8.97243i | 0.432671 | − | 0.595521i | −0.535893 | − | 0.844286i | \(-0.680025\pi\) |
0.968564 | + | 0.248765i | \(0.0800248\pi\) | |||||||
\(228\) | −2.95947 | − | 24.2784i | −0.195996 | − | 1.60788i | ||||
\(229\) | −2.00759 | − | 6.17873i | −0.132665 | − | 0.408302i | 0.862554 | − | 0.505965i | \(-0.168863\pi\) |
−0.995220 | + | 0.0976628i | \(0.968863\pi\) | |||||||
\(230\) | 8.90121 | − | 4.02603i | 0.586929 | − | 0.265468i | ||||
\(231\) | 4.88477 | − | 1.51855i | 0.321395 | − | 0.0999132i | ||||
\(232\) | −0.670627 | + | 0.251020i | −0.0440288 | + | 0.0164803i | ||||
\(233\) | 5.04864 | − | 15.5381i | 0.330748 | − | 1.01794i | −0.638031 | − | 0.770010i | \(-0.720251\pi\) |
0.968779 | − | 0.247926i | \(-0.0797491\pi\) | |||||||
\(234\) | −29.8194 | − | 3.46151i | −1.94936 | − | 0.226286i | ||||
\(235\) | 14.7861 | − | 16.1344i | 0.964537 | − | 1.05249i | ||||
\(236\) | −0.454208 | − | 3.36789i | −0.0295664 | − | 0.219231i | ||||
\(237\) | −3.13878 | + | 9.25668i | −0.203886 | + | 0.601286i | ||||
\(238\) | −18.0084 | + | 4.10475i | −1.16731 | + | 0.266072i | ||||
\(239\) | 15.0252 | + | 10.9165i | 0.971902 | + | 0.706128i | 0.955884 | − | 0.293744i | \(-0.0949012\pi\) |
0.0160176 | + | 0.999872i | \(0.494901\pi\) | |||||||
\(240\) | 13.9089 | − | 6.82220i | 0.897816 | − | 0.440371i | ||||
\(241\) | −8.82348 | + | 6.41063i | −0.568370 | + | 0.412945i | −0.834513 | − | 0.550988i | \(-0.814251\pi\) |
0.266143 | + | 0.963934i | \(0.414251\pi\) | |||||||
\(242\) | −9.06496 | + | 10.3696i | −0.582717 | + | 0.666581i | ||||
\(243\) | 0.993601 | − | 15.5568i | 0.0637396 | − | 0.997967i | ||||
\(244\) | 7.39237 | − | 3.55465i | 0.473248 | − | 0.227563i | ||||
\(245\) | −0.160178 | + | 0.0906129i | −0.0102334 | + | 0.00578905i | ||||
\(246\) | 4.46230 | + | 7.69494i | 0.284506 | + | 0.490611i | ||||
\(247\) | 15.4378 | + | 47.5126i | 0.982282 | + | 3.02315i | ||||
\(248\) | 13.5201 | + | 3.74407i | 0.858526 | + | 0.237748i | ||||
\(249\) | 12.9831 | − | 9.18202i | 0.822768 | − | 0.581887i | ||||
\(250\) | −13.7844 | + | 7.74528i | −0.871804 | + | 0.489855i | ||||
\(251\) | −14.4760 | −0.913715 | −0.456858 | − | 0.889540i | \(-0.651025\pi\) | ||||
−0.456858 | + | 0.889540i | \(0.651025\pi\) | |||||||
\(252\) | −15.4485 | − | 3.22201i | −0.973163 | − | 0.202968i | ||||
\(253\) | −3.29920 | + | 1.07197i | −0.207419 | + | 0.0673944i | ||||
\(254\) | −0.633511 | + | 7.01592i | −0.0397500 | + | 0.440218i | ||||
\(255\) | −17.3967 | − | 8.19888i | −1.08942 | − | 0.513434i | ||||
\(256\) | −6.32278 | + | 14.6977i | −0.395174 | + | 0.918606i | ||||
\(257\) | 3.60686 | 0.224989 | 0.112495 | − | 0.993652i | \(-0.464116\pi\) | ||||
0.112495 | + | 0.993652i | \(0.464116\pi\) | |||||||
\(258\) | −18.0324 | − | 1.86044i | −1.12265 | − | 0.115826i | ||||
\(259\) | 6.75999 | + | 9.30432i | 0.420045 | + | 0.578142i | ||||
\(260\) | −25.2125 | + | 19.1218i | −1.56361 | + | 1.18588i | ||||
\(261\) | 0.430605 | + | 0.625640i | 0.0266538 | + | 0.0387262i | ||||
\(262\) | 16.9511 | − | 3.86377i | 1.04724 | − | 0.238704i | ||||
\(263\) | −0.296395 | − | 0.407953i | −0.0182765 | − | 0.0251555i | 0.799781 | − | 0.600292i | \(-0.204949\pi\) |
−0.818057 | + | 0.575136i | \(0.804949\pi\) | |||||||
\(264\) | −5.17610 | + | 1.86252i | −0.318567 | + | 0.114630i | ||||
\(265\) | 1.89553 | + | 1.73712i | 0.116441 | + | 0.106710i | ||||
\(266\) | 5.83637 | + | 25.6053i | 0.357851 | + | 1.56996i | ||||
\(267\) | −6.22627 | − | 20.0283i | −0.381042 | − | 1.22571i | ||||
\(268\) | 2.48214 | + | 2.59915i | 0.151621 | + | 0.158768i | ||||
\(269\) | −0.145643 | − | 0.0473224i | −0.00888003 | − | 0.00288530i | 0.304574 | − | 0.952489i | \(-0.401486\pi\) |
−0.313454 | + | 0.949604i | \(0.601486\pi\) | |||||||
\(270\) | −10.5938 | − | 12.5607i | −0.644719 | − | 0.764420i | ||||
\(271\) | −12.7960 | + | 4.15766i | −0.777299 | + | 0.252560i | −0.670686 | − | 0.741741i | \(-0.734000\pi\) |
−0.106612 | + | 0.994301i | \(0.534000\pi\) | |||||||
\(272\) | 19.1530 | − | 5.26181i | 1.16132 | − | 0.319044i | ||||
\(273\) | 32.2311 | + | 0.411181i | 1.95072 | + | 0.0248858i | ||||
\(274\) | −14.5063 | − | 6.20530i | −0.876357 | − | 0.374876i | ||||
\(275\) | 5.16835 | − | 2.19317i | 0.311663 | − | 0.132253i | ||||
\(276\) | 10.5034 | + | 2.05118i | 0.632230 | + | 0.123467i | ||||
\(277\) | 16.9554 | − | 23.3371i | 1.01875 | − | 1.40219i | 0.105672 | − | 0.994401i | \(-0.466301\pi\) |
0.913077 | − | 0.407787i | \(-0.133699\pi\) | |||||||
\(278\) | −14.2035 | − | 1.28252i | −0.851871 | − | 0.0769207i | ||||
\(279\) | 0.379592 | − | 14.8751i | 0.0227256 | − | 0.890548i | ||||
\(280\) | −14.1041 | + | 8.81941i | −0.842882 | + | 0.527061i | ||||
\(281\) | −0.565777 | − | 0.183832i | −0.0337514 | − | 0.0109665i | 0.292093 | − | 0.956390i | \(-0.405648\pi\) |
−0.325844 | + | 0.945424i | \(0.605648\pi\) | |||||||
\(282\) | 23.4402 | − | 5.02921i | 1.39584 | − | 0.299485i | ||||
\(283\) | 5.89041 | − | 18.1288i | 0.350149 | − | 1.07765i | −0.608620 | − | 0.793461i | \(-0.708277\pi\) |
0.958769 | − | 0.284186i | \(-0.0917232\pi\) | |||||||
\(284\) | 13.8413 | + | 2.52017i | 0.821327 | + | 0.149545i | ||||
\(285\) | −11.6576 | + | 24.7356i | −0.690538 | + | 1.46521i | ||||
\(286\) | 9.64740 | − | 5.76023i | 0.570463 | − | 0.340610i | ||||
\(287\) | −5.61408 | − | 7.72712i | −0.331389 | − | 0.456117i | ||||
\(288\) | 16.7494 | + | 2.73076i | 0.986969 | + | 0.160911i | ||||
\(289\) | −6.19527 | − | 4.50113i | −0.364428 | − | 0.264772i | ||||
\(290\) | 0.784059 | + | 0.161839i | 0.0460415 | + | 0.00950351i | ||||
\(291\) | −0.931887 | + | 2.74826i | −0.0546282 | + | 0.161106i | ||||
\(292\) | −1.99822 | − | 4.15555i | −0.116937 | − | 0.243185i | ||||
\(293\) | 7.03851 | 0.411194 | 0.205597 | − | 0.978637i | \(-0.434086\pi\) | ||||
0.205597 | + | 0.978637i | \(0.434086\pi\) | |||||||
\(294\) | −0.200532 | − | 0.0206894i | −0.0116953 | − | 0.00120663i | ||||
\(295\) | −1.57582 | + | 3.45732i | −0.0917477 | + | 0.201293i | ||||
\(296\) | −7.70270 | − | 9.67626i | −0.447710 | − | 0.562421i | ||||
\(297\) | 3.24643 | + | 4.84812i | 0.188377 | + | 0.281316i | ||||
\(298\) | 1.30016 | − | 0.776295i | 0.0753163 | − | 0.0449695i | ||||
\(299\) | −21.8593 | −1.26415 | ||||||||
\(300\) | −17.2238 | − | 1.82742i | −0.994419 | − | 0.105506i | ||||
\(301\) | 19.4651 | 1.12195 | ||||||||
\(302\) | 10.6239 | − | 6.34329i | 0.611339 | − | 0.365016i | ||||
\(303\) | −1.46006 | − | 1.08952i | −0.0838782 | − | 0.0625912i | ||||
\(304\) | −7.48153 | − | 27.2328i | −0.429095 | − | 1.56191i | ||||
\(305\) | −9.11178 | − | 1.03866i | −0.521739 | − | 0.0594734i | ||||
\(306\) | −10.3353 | − | 18.3582i | −0.590828 | − | 1.04947i | ||||
\(307\) | −23.4386 | −1.33771 | −0.668854 | − | 0.743393i | \(-0.733215\pi\) | ||||
−0.668854 | + | 0.743393i | \(0.733215\pi\) | |||||||
\(308\) | 5.32327 | − | 2.55972i | 0.303321 | − | 0.145854i | ||||
\(309\) | 8.34999 | + | 2.83134i | 0.475014 | + | 0.161069i | ||||
\(310\) | −10.5636 | − | 11.5941i | −0.599974 | − | 0.658501i | ||||
\(311\) | 2.01775 | + | 1.46598i | 0.114416 | + | 0.0831280i | 0.643522 | − | 0.765428i | \(-0.277473\pi\) |
−0.529106 | + | 0.848556i | \(0.677473\pi\) | |||||||
\(312\) | −34.6468 | + | 1.08295i | −1.96149 | + | 0.0613099i | ||||
\(313\) | −12.8727 | − | 17.7178i | −0.727609 | − | 1.00147i | −0.999237 | − | 0.0390656i | \(-0.987562\pi\) |
0.271627 | − | 0.962402i | \(-0.412438\pi\) | |||||||
\(314\) | 2.53997 | − | 1.51656i | 0.143339 | − | 0.0855843i | ||||
\(315\) | 12.6992 | + | 12.2485i | 0.715521 | + | 0.690125i | ||||
\(316\) | −2.02177 | + | 11.1039i | −0.113733 | + | 0.624643i | ||||
\(317\) | 1.52336 | − | 4.68843i | 0.0855606 | − | 0.263328i | −0.899118 | − | 0.437706i | \(-0.855791\pi\) |
0.984679 | + | 0.174377i | \(0.0557912\pi\) | |||||||
\(318\) | 0.590849 | + | 2.75384i | 0.0331332 | + | 0.154428i | ||||
\(319\) | −0.270365 | − | 0.0878470i | −0.0151375 | − | 0.00491849i | ||||
\(320\) | 14.7355 | − | 10.1423i | 0.823738 | − | 0.566971i | ||||
\(321\) | 15.6684 | + | 11.6920i | 0.874526 | + | 0.652585i | ||||
\(322\) | −11.4446 | − | 1.03340i | −0.637780 | − | 0.0575891i | ||||
\(323\) | −20.6076 | + | 28.3640i | −1.14664 | + | 1.57821i | ||||
\(324\) | −1.49281 | − | 17.9380i | −0.0829336 | − | 0.996555i | ||||
\(325\) | 35.2442 | − | 3.07960i | 1.95500 | − | 0.170826i | ||||
\(326\) | 12.9263 | + | 5.52941i | 0.715919 | + | 0.306246i | ||||
\(327\) | −0.322840 | + | 25.3064i | −0.0178531 | + | 1.39945i | ||||
\(328\) | 6.39699 | + | 8.03601i | 0.353215 | + | 0.443715i | ||||
\(329\) | −24.4819 | + | 7.95466i | −1.34973 | + | 0.438555i | ||||
\(330\) | 6.00697 | + | 1.32002i | 0.330673 | + | 0.0726646i | ||||
\(331\) | 6.52289 | + | 2.11942i | 0.358530 | + | 0.116494i | 0.482743 | − | 0.875762i | \(-0.339640\pi\) |
−0.124213 | + | 0.992256i | \(0.539640\pi\) | |||||||
\(332\) | 13.2793 | − | 12.6815i | 0.728796 | − | 0.695986i | ||||
\(333\) | −7.97879 | + | 10.4125i | −0.437235 | + | 0.570603i | ||||
\(334\) | −6.59584 | − | 28.9372i | −0.360908 | − | 1.58338i | ||||
\(335\) | −0.800881 | − | 3.93755i | −0.0437568 | − | 0.215131i | ||||
\(336\) | −18.1907 | − | 1.07095i | −0.992386 | − | 0.0584250i | ||||
\(337\) | −16.5443 | − | 22.7713i | −0.901225 | − | 1.24043i | −0.970076 | − | 0.242803i | \(-0.921933\pi\) |
0.0688506 | − | 0.997627i | \(-0.478067\pi\) | |||||||
\(338\) | 51.1078 | − | 11.6493i | 2.77990 | − | 0.633639i | ||||
\(339\) | 0.00923086 | − | 0.723578i | 0.000501352 | − | 0.0392993i | ||||
\(340\) | −21.2568 | − | 6.42684i | −1.15281 | − | 0.348544i | ||||
\(341\) | 3.27366 | + | 4.50581i | 0.177279 | + | 0.244003i | ||||
\(342\) | −26.1027 | + | 14.6953i | −1.41147 | + | 0.794628i | ||||
\(343\) | 18.6275 | 1.00579 | ||||||||
\(344\) | −20.9123 | + | 0.920802i | −1.12751 | + | 0.0496463i | ||||
\(345\) | −8.71723 | − | 8.19577i | −0.469320 | − | 0.441245i | ||||
\(346\) | 1.23271 | − | 13.6519i | 0.0662711 | − | 0.733929i | ||||
\(347\) | −34.9390 | + | 11.3524i | −1.87562 | + | 0.609426i | −0.886417 | + | 0.462888i | \(0.846813\pi\) |
−0.989205 | + | 0.146538i | \(0.953187\pi\) | |||||||
\(348\) | 0.597551 | + | 0.641920i | 0.0320321 | + | 0.0344105i | ||||
\(349\) | 2.33175 | 0.124816 | 0.0624078 | − | 0.998051i | \(-0.480122\pi\) | ||||
0.0624078 | + | 0.998051i | \(0.480122\pi\) | |||||||
\(350\) | 18.5979 | + | 0.0538317i | 0.994100 | + | 0.00287743i | ||||
\(351\) | 10.0153 | + | 35.3761i | 0.534577 | + | 1.88823i | ||||
\(352\) | −5.59794 | + | 3.00184i | −0.298371 | + | 0.159999i | ||||
\(353\) | −7.50581 | − | 23.1005i | −0.399494 | − | 1.22952i | −0.925406 | − | 0.378977i | \(-0.876276\pi\) |
0.525912 | − | 0.850539i | \(-0.323724\pi\) | |||||||
\(354\) | −3.60055 | + | 2.08796i | −0.191367 | + | 0.110974i | ||||
\(355\) | −11.5964 | − | 10.6273i | −0.615471 | − | 0.564037i | ||||
\(356\) | −10.4952 | − | 21.8262i | −0.556246 | − | 1.15679i | ||||
\(357\) | 13.0620 | + | 18.4692i | 0.691312 | + | 0.977492i | ||||
\(358\) | −4.50837 | + | 5.15721i | −0.238275 | + | 0.272567i | ||||
\(359\) | 19.4805 | − | 14.1534i | 1.02814 | − | 0.746988i | 0.0602046 | − | 0.998186i | \(-0.480825\pi\) |
0.967936 | + | 0.251198i | \(0.0808247\pi\) | |||||||
\(360\) | −14.2228 | − | 12.5584i | −0.749606 | − | 0.661884i | ||||
\(361\) | 24.9581 | + | 18.1332i | 1.31359 | + | 0.954377i | ||||
\(362\) | −13.8485 | + | 3.15658i | −0.727862 | + | 0.165906i | ||||
\(363\) | 15.9753 | + | 5.41693i | 0.838483 | + | 0.284315i | ||||
\(364\) | 36.8864 | − | 4.97465i | 1.93337 | − | 0.260743i | ||||
\(365\) | −0.583872 | + | 5.12210i | −0.0305613 | + | 0.268103i | ||||
\(366\) | −7.47853 | − | 6.70787i | −0.390909 | − | 0.350626i | ||||
\(367\) | 7.51175 | − | 23.1188i | 0.392110 | − | 1.20679i | −0.539079 | − | 0.842255i | \(-0.681228\pi\) |
0.931189 | − | 0.364536i | \(-0.118772\pi\) | |||||||
\(368\) | 12.3443 | + | 0.568841i | 0.643490 | + | 0.0296529i | ||||
\(369\) | 6.62628 | − | 8.64747i | 0.344950 | − | 0.450169i | ||||
\(370\) | 1.52630 | + | 13.7431i | 0.0793487 | + | 0.714469i | ||||
\(371\) | −0.934542 | − | 2.87622i | −0.0485190 | − | 0.149326i | ||||
\(372\) | −2.07903 | − | 17.0556i | −0.107793 | − | 0.884292i | ||||
\(373\) | −12.8117 | + | 17.6338i | −0.663363 | + | 0.913041i | −0.999587 | − | 0.0287408i | \(-0.990850\pi\) |
0.336223 | + | 0.941782i | \(0.390850\pi\) | |||||||
\(374\) | 7.25000 | + | 3.10131i | 0.374889 | + | 0.160365i | ||||
\(375\) | 15.2096 | + | 11.9861i | 0.785422 | + | 0.618960i | ||||
\(376\) | 25.9257 | − | 9.70417i | 1.33702 | − | 0.500454i | ||||
\(377\) | −1.44923 | − | 1.05292i | −0.0746389 | − | 0.0542284i | ||||
\(378\) | 3.57115 | + | 18.9948i | 0.183680 | + | 0.976987i | ||||
\(379\) | −12.7016 | + | 4.12699i | −0.652435 | + | 0.211989i | −0.616488 | − | 0.787365i | \(-0.711445\pi\) |
−0.0359475 | + | 0.999354i | \(0.511445\pi\) | |||||||
\(380\) | −9.13804 | + | 30.2241i | −0.468772 | + | 1.55046i | ||||
\(381\) | 8.23874 | − | 2.56121i | 0.422084 | − | 0.131215i | ||||
\(382\) | 25.3312 | + | 10.8358i | 1.29606 | + | 0.554410i | ||||
\(383\) | 2.52358 | + | 0.819961i | 0.128949 | + | 0.0418981i | 0.372781 | − | 0.927920i | \(-0.378404\pi\) |
−0.243832 | + | 0.969818i | \(0.578404\pi\) | |||||||
\(384\) | 19.5938 | + | 0.290051i | 0.999890 | + | 0.0148016i | ||||
\(385\) | −6.56142 | − | 0.747942i | −0.334401 | − | 0.0381186i | ||||
\(386\) | 4.52890 | − | 2.70410i | 0.230515 | − | 0.137635i | ||||
\(387\) | 6.31999 | + | 21.2838i | 0.321263 | + | 1.08192i | ||||
\(388\) | −0.600252 | + | 3.29669i | −0.0304732 | + | 0.167364i | ||||
\(389\) | 7.01879 | − | 9.66053i | 0.355867 | − | 0.489808i | −0.593125 | − | 0.805111i | \(-0.702106\pi\) |
0.948991 | + | 0.315302i | \(0.102106\pi\) | |||||||
\(390\) | 33.4291 | + | 19.6077i | 1.69275 | + | 0.992876i | ||||
\(391\) | −9.01700 | − | 12.4108i | −0.456009 | − | 0.627643i | ||||
\(392\) | −0.232559 | + | 0.0102399i | −0.0117460 | + | 0.000517195i | ||||
\(393\) | −12.2951 | − | 17.3849i | −0.620206 | − | 0.876951i | ||||
\(394\) | 5.63633 | − | 6.44750i | 0.283954 | − | 0.324820i | ||||
\(395\) | 8.52554 | − | 9.30298i | 0.428966 | − | 0.468084i | ||||
\(396\) | 4.52725 | + | 4.98953i | 0.227503 | + | 0.250733i | ||||
\(397\) | −0.770649 | + | 0.250399i | −0.0386778 | + | 0.0125672i | −0.328292 | − | 0.944576i | \(-0.606473\pi\) |
0.289614 | + | 0.957143i | \(0.406473\pi\) | |||||||
\(398\) | −4.94850 | + | 2.95463i | −0.248046 | + | 0.148102i | ||||
\(399\) | 26.2605 | − | 18.5722i | 1.31467 | − | 0.929774i | ||||
\(400\) | −19.9831 | + | 0.821943i | −0.999155 | + | 0.0410971i | ||||
\(401\) | − | 19.9527i | − | 0.996388i | −0.867065 | − | 0.498194i | \(-0.833997\pi\) | ||
0.867065 | − | 0.498194i | \(-0.166003\pi\) | |||||||
\(402\) | 1.78264 | − | 4.02456i | 0.0889100 | − | 0.200727i | ||||
\(403\) | 10.8450 | + | 33.3776i | 0.540230 | + | 1.66266i | ||||
\(404\) | −1.85183 | − | 0.997909i | −0.0921320 | − | 0.0496478i | ||||
\(405\) | −9.26967 | + | 17.8626i | −0.460614 | + | 0.887601i | ||||
\(406\) | −0.708973 | − | 0.619777i | −0.0351858 | − | 0.0307590i | ||||
\(407\) | − | 4.91000i | − | 0.243380i | ||||||
\(408\) | −14.9067 | − | 19.2244i | −0.737993 | − | 0.951748i | ||||
\(409\) | −17.5507 | + | 12.7514i | −0.867829 | + | 0.630514i | −0.930003 | − | 0.367551i | \(-0.880196\pi\) |
0.0621747 | + | 0.998065i | \(0.480196\pi\) | |||||||
\(410\) | −1.26757 | − | 11.4135i | −0.0626010 | − | 0.563670i | ||||
\(411\) | −0.246498 | + | 19.3222i | −0.0121588 | + | 0.953092i | ||||
\(412\) | 10.0163 | + | 1.82373i | 0.493466 | + | 0.0898489i | ||||
\(413\) | 3.61560 | − | 2.62689i | 0.177912 | − | 0.129261i | ||||
\(414\) | −2.58589 | − | 12.8494i | −0.127090 | − | 0.631511i | ||||
\(415\) | −20.1173 | + | 4.09177i | −0.987520 | + | 0.200857i | ||||
\(416\) | −39.3934 | + | 7.08941i | −1.93142 | + | 0.347587i | ||||
\(417\) | 5.18509 | + | 16.6791i | 0.253915 | + | 0.816779i | ||||
\(418\) | 4.40961 | − | 10.3085i | 0.215681 | − | 0.504203i | ||||
\(419\) | −4.46197 | + | 13.7325i | −0.217981 | + | 0.670877i | 0.780947 | + | 0.624597i | \(0.214737\pi\) |
−0.998928 | + | 0.0462804i | \(0.985263\pi\) | |||||||
\(420\) | 16.5750 | + | 11.8461i | 0.808779 | + | 0.578031i | ||||
\(421\) | −0.913465 | − | 2.81136i | −0.0445195 | − | 0.137017i | 0.926326 | − | 0.376723i | \(-0.122949\pi\) |
−0.970846 | + | 0.239706i | \(0.922949\pi\) | |||||||
\(422\) | −12.3309 | − | 1.11343i | −0.600258 | − | 0.0542010i | ||||
\(423\) | −16.6467 | − | 24.1866i | −0.809392 | − | 1.17599i | ||||
\(424\) | 1.14008 | + | 3.04585i | 0.0553672 | + | 0.147919i | ||||
\(425\) | 16.2868 | + | 18.7399i | 0.790025 | + | 0.909020i | ||||
\(426\) | −3.61467 | − | 16.8473i | −0.175131 | − | 0.816254i | ||||
\(427\) | 8.72690 | + | 6.34046i | 0.422324 | + | 0.306837i | ||||
\(428\) | 19.8727 | + | 10.7089i | 0.960581 | + | 0.517635i | ||||
\(429\) | −11.0292 | − | 8.23017i | −0.532495 | − | 0.397356i | ||||
\(430\) | 20.3364 | + | 11.5821i | 0.980707 | + | 0.558540i | ||||
\(431\) | 1.95432 | − | 6.01477i | 0.0941362 | − | 0.289721i | −0.892891 | − | 0.450272i | \(-0.851327\pi\) |
0.987028 | + | 0.160551i | \(0.0513270\pi\) | |||||||
\(432\) | −4.73520 | − | 20.2380i | −0.227822 | − | 0.973703i | ||||
\(433\) | 12.8774 | + | 4.18412i | 0.618849 | + | 0.201076i | 0.601629 | − | 0.798776i | \(-0.294519\pi\) |
0.0172196 | + | 0.999852i | \(0.494519\pi\) | |||||||
\(434\) | 4.10006 | + | 17.9877i | 0.196809 | + | 0.863439i | ||||
\(435\) | −0.183158 | − | 0.963257i | −0.00878177 | − | 0.0461846i | ||||
\(436\) | 3.90587 | + | 28.9615i | 0.187057 | + | 1.38701i | ||||
\(437\) | −17.6464 | + | 12.8209i | −0.844142 | + | 0.613305i | ||||
\(438\) | −3.77076 | + | 4.20399i | −0.180174 | + | 0.200874i | ||||
\(439\) | −8.27611 | + | 11.3911i | −0.394997 | + | 0.543667i | −0.959480 | − | 0.281778i | \(-0.909076\pi\) |
0.564482 | + | 0.825445i | \(0.309076\pi\) | |||||||
\(440\) | 7.08461 | + | 0.493158i | 0.337746 | + | 0.0235104i | ||||
\(441\) | 0.0702825 | + | 0.236690i | 0.00334679 | + | 0.0112710i | ||||
\(442\) | 37.4099 | + | 32.7034i | 1.77941 | + | 1.55554i | ||||
\(443\) | − | 17.7380i | − | 0.842758i | −0.906885 | − | 0.421379i | \(-0.861546\pi\) | ||
0.906885 | − | 0.421379i | \(-0.138454\pi\) | |||||||
\(444\) | −7.35517 | + | 13.2418i | −0.349061 | + | 0.628426i | ||||
\(445\) | −3.06667 | + | 26.9028i | −0.145374 | + | 1.27532i | ||||
\(446\) | 0.409040 | − | 4.52998i | 0.0193686 | − | 0.214501i | ||||
\(447\) | −1.48638 | − | 1.10916i | −0.0703035 | − | 0.0524616i | ||||
\(448\) | −20.9598 | + | 1.84937i | −0.990257 | + | 0.0873746i | ||||
\(449\) | − | 28.2843i | − | 1.33482i | −0.744691 | − | 0.667410i | \(-0.767403\pi\) | ||
0.744691 | − | 0.667410i | \(-0.232597\pi\) | |||||||
\(450\) | 5.97955 | + | 20.3530i | 0.281879 | + | 0.959450i | ||||
\(451\) | 4.07769i | 0.192011i | ||||||||
\(452\) | −0.111679 | − | 0.828087i | −0.00525295 | − | 0.0389499i | ||||
\(453\) | −12.1456 | − | 9.06325i | −0.570650 | − | 0.425828i | ||||
\(454\) | −15.6208 | − | 1.41050i | −0.733122 | − | 0.0661981i | ||||
\(455\) | −37.8658 | − | 17.2589i | −1.77518 | − | 0.809112i | ||||
\(456\) | −27.3343 | + | 21.1952i | −1.28004 | + | 0.992557i | ||||
\(457\) | 5.94526i | 0.278107i | 0.990285 | + | 0.139054i | \(0.0444061\pi\) | ||||
−0.990285 | + | 0.139054i | \(0.955594\pi\) | |||||||
\(458\) | −6.04698 | + | 6.91724i | −0.282557 | + | 0.323221i | ||||
\(459\) | −15.9538 | + | 20.2790i | −0.744659 | + | 0.946541i | ||||
\(460\) | −11.3419 | − | 7.88938i | −0.528819 | − | 0.367844i | ||||
\(461\) | 17.8555 | − | 24.5760i | 0.831615 | − | 1.14462i | −0.156005 | − | 0.987756i | \(-0.549862\pi\) |
0.987620 | − | 0.156863i | \(-0.0501383\pi\) | |||||||
\(462\) | −5.38532 | − | 4.83036i | −0.250548 | − | 0.224729i | ||||
\(463\) | −9.77952 | + | 7.10524i | −0.454493 | + | 0.330209i | −0.791367 | − | 0.611341i | \(-0.790630\pi\) |
0.336874 | + | 0.941550i | \(0.390630\pi\) | |||||||
\(464\) | 0.791000 | + | 0.632316i | 0.0367213 | + | 0.0293545i | ||||
\(465\) | −8.18950 | + | 17.3768i | −0.379779 | + | 0.805829i | ||||
\(466\) | −22.5273 | + | 5.13478i | −1.04356 | + | 0.237864i | ||||
\(467\) | 19.8940 | + | 6.46396i | 0.920585 | + | 0.299116i | 0.730707 | − | 0.682691i | \(-0.239191\pi\) |
0.189879 | + | 0.981808i | \(0.439191\pi\) | |||||||
\(468\) | 17.4158 | + | 38.7176i | 0.805046 | + | 1.78972i | ||||
\(469\) | −1.46052 | + | 4.49501i | −0.0674405 | + | 0.207560i | ||||
\(470\) | −30.3109 | − | 6.25652i | −1.39814 | − | 0.288592i | ||||
\(471\) | −2.90377 | − | 2.16684i | −0.133799 | − | 0.0998429i | ||||
\(472\) | −3.76014 | + | 2.99322i | −0.173074 | + | 0.137774i | ||||
\(473\) | −6.72311 | − | 4.88462i | −0.309129 | − | 0.224595i | ||||
\(474\) | 13.5154 | − | 2.89981i | 0.620785 | − | 0.133192i | ||||
\(475\) | 26.6455 | − | 23.1575i | 1.22258 | − | 1.06254i | ||||
\(476\) | 18.0401 | + | 18.8906i | 0.826868 | + | 0.865848i | ||||
\(477\) | 2.84152 | − | 1.95572i | 0.130104 | − | 0.0895461i | ||||
\(478\) | 2.36203 | − | 26.1587i | 0.108037 | − | 1.19647i | ||||
\(479\) | 11.0543 | + | 34.0217i | 0.505084 | + | 1.55449i | 0.800629 | + | 0.599160i | \(0.204499\pi\) |
−0.295545 | + | 0.955329i | \(0.595501\pi\) | |||||||
\(480\) | −18.3677 | − | 11.9427i | −0.838366 | − | 0.545108i | ||||
\(481\) | 9.56089 | − | 29.4254i | 0.435939 | − | 1.34168i | ||||
\(482\) | 14.1810 | + | 6.06617i | 0.645928 | + | 0.276306i | ||||
\(483\) | 4.17791 | + | 13.4393i | 0.190102 | + | 0.611507i | ||||
\(484\) | 19.1632 | + | 3.48918i | 0.871054 | + | 0.158599i | ||||
\(485\) | 2.53119 | − | 2.76201i | 0.114935 | − | 0.125416i | ||||
\(486\) | −19.6100 | + | 10.0721i | −0.889529 | + | 0.456879i | ||||
\(487\) | 33.7319 | − | 24.5077i | 1.52854 | − | 1.11055i | 0.571495 | − | 0.820606i | \(-0.306364\pi\) |
0.957044 | − | 0.289943i | \(-0.0936363\pi\) | |||||||
\(488\) | −9.67563 | − | 6.39902i | −0.437995 | − | 0.289670i | ||||
\(489\) | 0.219649 | − | 17.2176i | 0.00993288 | − | 0.778606i | ||||
\(490\) | 0.226154 | + | 0.128801i | 0.0102166 | + | 0.00581864i | ||||
\(491\) | 26.9448 | − | 19.5765i | 1.21600 | − | 0.883476i | 0.220239 | − | 0.975446i | \(-0.429316\pi\) |
0.995762 | + | 0.0919695i | \(0.0293162\pi\) | |||||||
\(492\) | 6.10837 | − | 10.9971i | 0.275387 | − | 0.495788i | ||||
\(493\) | − | 1.25715i | − | 0.0566190i | ||||||
\(494\) | 46.4994 | − | 53.1915i | 2.09211 | − | 2.39320i | ||||
\(495\) | −1.31256 | − | 7.41731i | −0.0589950 | − | 0.333383i | ||||
\(496\) | −5.25579 | − | 19.1311i | −0.235992 | − | 0.859011i | ||||
\(497\) | 5.71730 | + | 17.5960i | 0.256456 | + | 0.789290i | ||||
\(498\) | −20.5618 | − | 9.10767i | −0.921398 | − | 0.408125i | ||||
\(499\) | 2.95347i | 0.132215i | 0.997812 | + | 0.0661077i | \(0.0210581\pi\) | ||||
−0.997812 | + | 0.0661077i | \(0.978942\pi\) | |||||||
\(500\) | 19.3983 | + | 11.1223i | 0.867518 | + | 0.497407i | ||||
\(501\) | −29.6777 | + | 20.9890i | −1.32590 | + | 0.937718i | ||||
\(502\) | 10.4950 | + | 17.5773i | 0.468415 | + | 0.784515i | ||||
\(503\) | 40.1948 | − | 13.0601i | 1.79220 | − | 0.582320i | 0.792573 | − | 0.609777i | \(-0.208741\pi\) |
0.999623 | + | 0.0274568i | \(0.00874085\pi\) | |||||||
\(504\) | 7.28777 | + | 21.0941i | 0.324623 | + | 0.939608i | ||||
\(505\) | 1.15801 | + | 2.04704i | 0.0515309 | + | 0.0910921i | ||||
\(506\) | 3.69353 | + | 3.22885i | 0.164198 | + | 0.143540i | ||||
\(507\) | −37.0699 | − | 52.4156i | −1.64633 | − | 2.32786i | ||||
\(508\) | 8.97832 | − | 4.31727i | 0.398348 | − | 0.191548i | ||||
\(509\) | −20.6474 | − | 28.4187i | −0.915179 | − | 1.25964i | −0.965367 | − | 0.260897i | \(-0.915982\pi\) |
0.0501873 | − | 0.998740i | \(-0.484018\pi\) | |||||||
\(510\) | 2.65708 | + | 27.0679i | 0.117657 | + | 1.19859i | ||||
\(511\) | 3.56423 | − | 4.90574i | 0.157672 | − | 0.217017i | ||||
\(512\) | 22.4305 | − | 2.97837i | 0.991299 | − | 0.131627i | ||||
\(513\) | 28.8338 | + | 22.6840i | 1.27304 | + | 1.00152i | ||||
\(514\) | −2.61495 | − | 4.37959i | −0.115340 | − | 0.193176i | ||||
\(515\) | −8.39175 | − | 7.69046i | −0.369785 | − | 0.338882i | ||||
\(516\) | 10.8144 | + | 23.2445i | 0.476075 | + | 1.02328i | ||||
\(517\) | 10.4520 | + | 3.39607i | 0.459680 | + | 0.149359i | ||||
\(518\) | 6.39675 | − | 14.9538i | 0.281057 | − | 0.657034i | ||||
\(519\) | −16.0313 | + | 4.98371i | −0.703696 | + | 0.218761i | ||||
\(520\) | 41.4974 | + | 16.7508i | 1.81978 | + | 0.734572i | ||||
\(521\) | −23.1218 | + | 7.51272i | −1.01298 | + | 0.329138i | −0.768042 | − | 0.640400i | \(-0.778769\pi\) |
−0.244942 | + | 0.969538i | \(0.578769\pi\) | |||||||
\(522\) | 0.447492 | − | 0.976444i | 0.0195862 | − | 0.0427378i | ||||
\(523\) | 17.9226 | + | 13.0215i | 0.783700 | + | 0.569391i | 0.906087 | − | 0.423091i | \(-0.139055\pi\) |
−0.122387 | + | 0.992482i | \(0.539055\pi\) | |||||||
\(524\) | −16.9810 | − | 17.7815i | −0.741819 | − | 0.776790i | ||||
\(525\) | −8.62951 | − | 21.0798i | −0.376623 | − | 0.919999i | ||||
\(526\) | −0.280469 | + | 0.655659i | −0.0122290 | + | 0.0285881i | ||||
\(527\) | −14.4769 | + | 19.9257i | −0.630623 | + | 0.867978i | ||||
\(528\) | 6.01419 | + | 4.93472i | 0.261734 | + | 0.214756i | ||||
\(529\) | 4.15812 | + | 12.7974i | 0.180788 | + | 0.556408i | ||||
\(530\) | 0.735038 | − | 3.56103i | 0.0319280 | − | 0.154681i | ||||
\(531\) | 4.04625 | + | 3.10051i | 0.175592 | + | 0.134551i | ||||
\(532\) | 26.8597 | − | 25.6505i | 1.16451 | − | 1.11209i | ||||
\(533\) | −7.94020 | + | 24.4374i | −0.343928 | + | 1.05850i | ||||
\(534\) | −19.8052 | + | 22.0806i | −0.857054 | + | 0.955521i | ||||
\(535\) | −12.4271 | − | 21.9675i | −0.537269 | − | 0.949740i | ||||
\(536\) | 1.35646 | − | 4.89828i | 0.0585902 | − | 0.211574i | ||||
\(537\) | 7.94515 | + | 2.69406i | 0.342858 | + | 0.116257i | ||||
\(538\) | 0.0481298 | + | 0.211155i | 0.00207502 | + | 0.00910352i | ||||
\(539\) | −0.0747655 | − | 0.0543203i | −0.00322038 | − | 0.00233974i | ||||
\(540\) | −7.57128 | + | 21.9699i | −0.325816 | + | 0.945433i | ||||
\(541\) | 18.3219 | − | 13.3117i | 0.787721 | − | 0.572313i | −0.119565 | − | 0.992826i | \(-0.538150\pi\) |
0.907286 | + | 0.420514i | \(0.138150\pi\) | |||||||
\(542\) | 14.3254 | + | 12.5231i | 0.615328 | + | 0.537913i | ||||
\(543\) | 10.0447 | + | 14.2029i | 0.431060 | + | 0.609504i | ||||
\(544\) | −20.2749 | − | 19.4416i | −0.869281 | − | 0.833552i | ||||
\(545\) | 13.5509 | − | 29.7305i | 0.580458 | − | 1.27352i | ||||
\(546\) | −22.8681 | − | 39.4345i | −0.978665 | − | 1.68764i | ||||
\(547\) | −8.57610 | − | 26.3945i | −0.366688 | − | 1.12855i | −0.948917 | − | 0.315524i | \(-0.897820\pi\) |
0.582230 | − | 0.813024i | \(-0.302180\pi\) | |||||||
\(548\) | 2.98224 | + | 22.1129i | 0.127395 | + | 0.944618i | ||||
\(549\) | −4.09939 | + | 11.6009i | −0.174958 | + | 0.495114i | ||||
\(550\) | −6.41006 | − | 4.68559i | −0.273326 | − | 0.199794i | ||||
\(551\) | −1.78748 | −0.0761492 | ||||||||
\(552\) | −5.12426 | − | 14.2408i | −0.218103 | − | 0.606127i | ||||
\(553\) | −14.1161 | + | 4.58660i | −0.600278 | + | 0.195042i | ||||
\(554\) | −40.6294 | − | 3.66868i | −1.72618 | − | 0.155867i | ||||
\(555\) | 14.8453 | − | 8.14981i | 0.630149 | − | 0.345940i | ||||
\(556\) | 8.74018 | + | 18.1763i | 0.370666 | + | 0.770848i | ||||
\(557\) | −19.3275 | −0.818933 | −0.409467 | − | 0.912325i | \(-0.634285\pi\) | ||||
−0.409467 | + | 0.912325i | \(0.634285\pi\) | |||||||
\(558\) | −18.3371 | + | 10.3234i | −0.776273 | + | 0.437026i | ||||
\(559\) | −30.7798 | − | 42.3647i | −1.30185 | − | 1.79184i | ||||
\(560\) | 20.9343 | + | 10.7318i | 0.884636 | + | 0.453500i | ||||
\(561\) | 0.123196 | − | 9.65690i | 0.00520132 | − | 0.407715i | ||||
\(562\) | 0.186969 | + | 0.820267i | 0.00788679 | + | 0.0346009i | ||||
\(563\) | −7.76254 | − | 10.6842i | −0.327152 | − | 0.450286i | 0.613482 | − | 0.789709i | \(-0.289768\pi\) |
−0.940634 | + | 0.339423i | \(0.889768\pi\) | |||||||
\(564\) | −23.1007 | − | 24.8159i | −0.972715 | − | 1.04494i | ||||
\(565\) | −0.387457 | + | 0.850075i | −0.0163004 | + | 0.0357629i | ||||
\(566\) | −26.2833 | + | 5.99091i | −1.10477 | + | 0.251817i | ||||
\(567\) | 19.8353 | − | 12.9188i | 0.833003 | − | 0.542539i | ||||
\(568\) | −6.97473 | − | 18.6337i | −0.292653 | − | 0.781854i | ||||
\(569\) | 27.7963 | + | 9.03155i | 1.16528 | + | 0.378622i | 0.826879 | − | 0.562380i | \(-0.190114\pi\) |
0.338401 | + | 0.941002i | \(0.390114\pi\) | |||||||
\(570\) | 38.4867 | − | 3.77798i | 1.61203 | − | 0.158242i | ||||
\(571\) | −6.44362 | + | 2.09366i | −0.269657 | + | 0.0876169i | −0.440724 | − | 0.897642i | \(-0.645278\pi\) |
0.171067 | + | 0.985259i | \(0.445278\pi\) | |||||||
\(572\) | −13.9886 | − | 7.53815i | −0.584894 | − | 0.315186i | ||||
\(573\) | 0.430440 | − | 33.7408i | 0.0179819 | − | 1.40954i | ||||
\(574\) | −5.31241 | + | 12.4190i | −0.221736 | + | 0.518358i | ||||
\(575\) | 6.03396 | + | 14.2194i | 0.251634 | + | 0.592992i | ||||
\(576\) | −8.82743 | − | 22.3176i | −0.367810 | − | 0.929901i | ||||
\(577\) | −13.7634 | + | 18.9437i | −0.572977 | + | 0.788636i | −0.992904 | − | 0.118923i | \(-0.962056\pi\) |
0.419926 | + | 0.907558i | \(0.362056\pi\) | |||||||
\(578\) | −0.973922 | + | 10.7858i | −0.0405098 | + | 0.448632i | ||||
\(579\) | −5.17758 | − | 3.86359i | −0.215173 | − | 0.160565i | ||||
\(580\) | −0.371927 | − | 1.06937i | −0.0154434 | − | 0.0444032i | ||||
\(581\) | 22.9654 | + | 7.46192i | 0.952767 | + | 0.309573i | ||||
\(582\) | 4.01267 | − | 0.860937i | 0.166330 | − | 0.0356870i | ||||
\(583\) | −0.398982 | + | 1.22794i | −0.0165242 | + | 0.0508561i | ||||
\(584\) | −3.59715 | + | 5.43907i | −0.148851 | + | 0.225070i | ||||
\(585\) | 6.57710 | − | 47.0074i | 0.271930 | − | 1.94352i | ||||
\(586\) | −5.10288 | − | 8.54645i | −0.210798 | − | 0.353051i | ||||
\(587\) | 13.5473 | + | 18.6462i | 0.559156 | + | 0.769612i | 0.991219 | − | 0.132231i | \(-0.0422142\pi\) |
−0.432063 | + | 0.901843i | \(0.642214\pi\) | |||||||
\(588\) | 0.120263 | + | 0.258494i | 0.00495956 | + | 0.0106601i | ||||
\(589\) | 28.3315 | + | 20.5840i | 1.16738 | + | 0.848151i | ||||
\(590\) | 5.34048 | − | 0.593112i | 0.219864 | − | 0.0244180i | ||||
\(591\) | −9.93296 | − | 3.36809i | −0.408587 | − | 0.138545i | ||||
\(592\) | −6.16492 | + | 16.3682i | −0.253376 | + | 0.672728i | ||||
\(593\) | −35.4686 | −1.45652 | −0.728261 | − | 0.685300i | \(-0.759671\pi\) | ||||
−0.728261 | + | 0.685300i | \(0.759671\pi\) | |||||||
\(594\) | 3.53315 | − | 7.45681i | 0.144967 | − | 0.305957i | ||||
\(595\) | −5.82079 | − | 28.6181i | −0.238629 | − | 1.17323i | ||||
\(596\) | −1.88522 | − | 1.01590i | −0.0772216 | − | 0.0416129i | ||||
\(597\) | 5.65728 | + | 4.22155i | 0.231537 | + | 0.172777i | ||||
\(598\) | 15.8479 | + | 26.5425i | 0.648067 | + | 1.08540i | ||||
\(599\) | −15.4349 | −0.630652 | −0.315326 | − | 0.948983i | \(-0.602114\pi\) | ||||
−0.315326 | + | 0.948983i | \(0.602114\pi\) | |||||||
\(600\) | 10.2682 | + | 22.2388i | 0.419200 | + | 0.907894i | ||||
\(601\) | 15.2326 | 0.621350 | 0.310675 | − | 0.950516i | \(-0.399445\pi\) | ||||
0.310675 | + | 0.950516i | \(0.399445\pi\) | |||||||
\(602\) | −14.1121 | − | 23.6354i | −0.575167 | − | 0.963307i | ||||
\(603\) | −5.38919 | − | 0.137525i | −0.219465 | − | 0.00560045i | ||||
\(604\) | −15.4046 | − | 8.30118i | −0.626804 | − | 0.337770i | ||||
\(605\) | −16.0551 | − | 14.7134i | −0.652735 | − | 0.598186i | ||||
\(606\) | −0.264406 | + | 2.56276i | −0.0107408 | + | 0.104105i | ||||
\(607\) | −34.7595 | −1.41085 | −0.705423 | − | 0.708787i | \(-0.749243\pi\) | ||||
−0.705423 | + | 0.708787i | \(0.749243\pi\) | |||||||
\(608\) | −27.6432 | + | 28.8280i | −1.12108 | + | 1.16913i | ||||
\(609\) | −0.370359 | + | 1.09224i | −0.0150077 | + | 0.0442597i | ||||
\(610\) | 5.34480 | + | 11.8169i | 0.216405 | + | 0.478453i | ||||
\(611\) | 56.0255 | + | 40.7049i | 2.26655 | + | 1.64675i | ||||
\(612\) | −14.7982 | + | 25.8591i | −0.598184 | + | 1.04529i | ||||
\(613\) | −13.5100 | − | 18.5950i | −0.545665 | − | 0.751043i | 0.443751 | − | 0.896150i | \(-0.353647\pi\) |
−0.989416 | + | 0.145107i | \(0.953647\pi\) | |||||||
\(614\) | 16.9928 | + | 28.4601i | 0.685774 | + | 1.14855i | ||||
\(615\) | −12.3288 | + | 6.76831i | −0.497147 | + | 0.272925i | ||||
\(616\) | −6.96746 | − | 4.60795i | −0.280727 | − | 0.185660i | ||||
\(617\) | 4.54521 | − | 13.9887i | 0.182983 | − | 0.563164i | −0.816925 | − | 0.576745i | \(-0.804323\pi\) |
0.999908 | + | 0.0135801i | \(0.00432281\pi\) | |||||||
\(618\) | −2.61577 | − | 12.1916i | −0.105222 | − | 0.490419i | ||||
\(619\) | 31.5383 | + | 10.2474i | 1.26763 | + | 0.411879i | 0.864208 | − | 0.503134i | \(-0.167820\pi\) |
0.403424 | + | 0.915013i | \(0.367820\pi\) | |||||||
\(620\) | −6.41948 | + | 21.2325i | −0.257813 | + | 0.852716i | ||||
\(621\) | −13.3384 | + | 8.93175i | −0.535252 | + | 0.358419i | ||||
\(622\) | 0.317198 | − | 3.51286i | 0.0127185 | − | 0.140853i | ||||
\(623\) | 18.7204 | − | 25.7664i | 0.750018 | − | 1.03231i | ||||
\(624\) | 26.4337 | + | 41.2845i | 1.05820 | + | 1.65270i | ||||
\(625\) | −11.7320 | − | 22.0762i | −0.469279 | − | 0.883050i | ||||
\(626\) | −12.1810 | + | 28.4759i | −0.486851 | + | 1.13813i | ||||
\(627\) | −13.7307 | − | 0.175166i | −0.548352 | − | 0.00699547i | ||||
\(628\) | −3.68293 | − | 1.98465i | −0.146965 | − | 0.0791961i | ||||
\(629\) | 20.6504 | − | 6.70974i | 0.823387 | − | 0.267535i | ||||
\(630\) | 5.66576 | − | 24.3000i | 0.225729 | − | 0.968137i | ||||
\(631\) | 20.3437 | + | 6.61008i | 0.809871 | + | 0.263143i | 0.684543 | − | 0.728972i | \(-0.260002\pi\) |
0.125328 | + | 0.992115i | \(0.460002\pi\) | |||||||
\(632\) | 14.9486 | − | 5.59535i | 0.594623 | − | 0.222571i | ||||
\(633\) | 4.50147 | + | 14.4801i | 0.178917 | + | 0.575531i | ||||
\(634\) | −6.79732 | + | 1.54935i | −0.269956 | + | 0.0615327i | ||||
\(635\) | −11.0666 | − | 1.26149i | −0.439165 | − | 0.0500608i | ||||
\(636\) | 2.91546 | − | 2.71395i | 0.115606 | − | 0.107615i | ||||
\(637\) | −0.342292 | − | 0.471124i | −0.0135621 | − | 0.0186666i | ||||
\(638\) | 0.0893457 | + | 0.391977i | 0.00353723 | + | 0.0155185i | ||||
\(639\) | −17.3837 | + | 11.9646i | −0.687690 | + | 0.473312i | ||||
\(640\) | −22.9983 | − | 10.5393i | −0.909088 | − | 0.416603i | ||||
\(641\) | 20.8420 | + | 28.6865i | 0.823208 | + | 1.13305i | 0.989149 | + | 0.146913i | \(0.0469336\pi\) |
−0.165942 | + | 0.986136i | \(0.553066\pi\) | |||||||
\(642\) | 2.83744 | − | 27.5019i | 0.111985 | − | 1.08541i | ||||
\(643\) | 1.63973 | 0.0646648 | 0.0323324 | − | 0.999477i | \(-0.489706\pi\) | ||||
0.0323324 | + | 0.999477i | \(0.489706\pi\) | |||||||
\(644\) | 7.04244 | + | 14.6457i | 0.277511 | + | 0.577120i | ||||
\(645\) | 3.60932 | − | 28.4349i | 0.142117 | − | 1.11962i | ||||
\(646\) | 49.3811 | + | 4.45893i | 1.94287 | + | 0.175434i | ||||
\(647\) | −41.1106 | + | 13.3577i | −1.61623 | + | 0.525144i | −0.971047 | − | 0.238888i | \(-0.923217\pi\) |
−0.645178 | + | 0.764032i | \(0.723217\pi\) | |||||||
\(648\) | −20.6988 | + | 14.8176i | −0.813125 | + | 0.582089i | ||||
\(649\) | −1.90800 | −0.0748955 | ||||||||
\(650\) | −29.2912 | − | 40.5623i | −1.14890 | − | 1.59099i | ||||
\(651\) | 18.4480 | − | 13.0470i | 0.723035 | − | 0.511352i | ||||
\(652\) | −2.65741 | − | 19.7044i | −0.104072 | − | 0.771683i | ||||
\(653\) | 4.92751 | + | 15.1653i | 0.192828 | + | 0.593464i | 0.999995 | + | 0.00314086i | \(0.000999769\pi\) |
−0.807167 | + | 0.590323i | \(0.799000\pi\) | |||||||
\(654\) | 30.9622 | − | 17.9550i | 1.21072 | − | 0.702096i | ||||
\(655\) | 5.47906 | + | 26.9379i | 0.214084 | + | 1.05255i | ||||
\(656\) | 5.11988 | − | 13.5936i | 0.199898 | − | 0.530739i | ||||
\(657\) | 6.52134 | + | 2.30443i | 0.254422 | + | 0.0899045i | ||||
\(658\) | 27.4081 | + | 23.9599i | 1.06848 | + | 0.934054i | ||||
\(659\) | −1.82519 | + | 1.32608i | −0.0710992 | + | 0.0516566i | −0.622767 | − | 0.782407i | \(-0.713992\pi\) |
0.551668 | + | 0.834064i | \(0.313992\pi\) | |||||||
\(660\) | −2.75220 | − | 8.25092i | −0.107129 | − | 0.321167i | ||||
\(661\) | −33.6669 | − | 24.4604i | −1.30949 | − | 0.951400i | −1.00000 | 0.000496742i | \(-0.999842\pi\) | |
−0.309489 | − | 0.950903i | \(-0.600158\pi\) | |||||||
\(662\) | −2.15558 | − | 9.45693i | −0.0837788 | − | 0.367554i | ||||
\(663\) | 19.5425 | − | 57.6334i | 0.758967 | − | 2.23830i | ||||
\(664\) | −25.0258 | − | 6.93029i | −0.971188 | − | 0.268947i | ||||
\(665\) | −40.6908 | + | 8.27632i | −1.57792 | + | 0.320942i | ||||
\(666\) | 18.4279 | + | 2.13915i | 0.714067 | + | 0.0828906i | ||||
\(667\) | 0.241689 | − | 0.743843i | 0.00935825 | − | 0.0288017i | ||||
\(668\) | −30.3549 | + | 28.9883i | −1.17446 | + | 1.12159i | ||||
\(669\) | −5.31953 | + | 1.65370i | −0.205665 | + | 0.0639358i | ||||
\(670\) | −4.20051 | + | 3.82717i | −0.162280 | + | 0.147856i | ||||
\(671\) | −1.42311 | − | 4.37989i | −0.0549387 | − | 0.169084i | ||||
\(672\) | 11.8878 | + | 22.8644i | 0.458581 | + | 0.882012i | ||||
\(673\) | −24.8246 | + | 34.1682i | −0.956920 | + | 1.31709i | −0.00853574 | + | 0.999964i | \(0.502717\pi\) |
−0.948384 | + | 0.317124i | \(0.897283\pi\) | |||||||
\(674\) | −15.6553 | + | 36.5978i | −0.603020 | + | 1.40969i | ||||
\(675\) | 20.2475 | − | 16.2800i | 0.779326 | − | 0.626618i | ||||
\(676\) | −51.1980 | − | 53.6116i | −1.96915 | − | 2.06198i | ||||
\(677\) | 35.8387 | + | 26.0384i | 1.37739 | + | 1.00074i | 0.997118 | + | 0.0758625i | \(0.0241710\pi\) |
0.380276 | + | 0.924873i | \(0.375829\pi\) | |||||||
\(678\) | −0.885291 | + | 0.513381i | −0.0339994 | + | 0.0197163i | ||||
\(679\) | −4.19100 | + | 1.36174i | −0.160836 | + | 0.0522587i | ||||
\(680\) | 7.60731 | + | 30.4703i | 0.291727 | + | 1.16848i | ||||
\(681\) | 5.70249 | + | 18.3434i | 0.218520 | + | 0.702921i | ||||
\(682\) | 3.09775 | − | 7.24170i | 0.118619 | − | 0.277299i | ||||
\(683\) | −36.2387 | − | 11.7747i | −1.38663 | − | 0.450545i | −0.481789 | − | 0.876287i | \(-0.660013\pi\) |
−0.904844 | + | 0.425742i | \(0.860013\pi\) | |||||||
\(684\) | 36.7679 | + | 21.0410i | 1.40585 | + | 0.804521i | ||||
\(685\) | 10.3465 | − | 22.7001i | 0.395320 | − | 0.867326i | ||||
\(686\) | −13.5049 | − | 22.6183i | −0.515618 | − | 0.863572i | ||||
\(687\) | 10.6566 | + | 3.61348i | 0.406576 | + | 0.137863i | ||||
\(688\) | 16.2794 | + | 24.7250i | 0.620645 | + | 0.942631i | ||||
\(689\) | −4.78216 | + | 6.58207i | −0.182186 | + | 0.250757i | ||||
\(690\) | −3.63170 | + | 16.5267i | −0.138257 | + | 0.629161i | ||||
\(691\) | −20.6338 | − | 28.4000i | −0.784948 | − | 1.08039i | −0.994719 | − | 0.102637i | \(-0.967272\pi\) |
0.209771 | − | 0.977751i | \(-0.432728\pi\) | |||||||
\(692\) | −17.4704 | + | 8.40072i | −0.664125 | + | 0.319348i | ||||
\(693\) | −2.95199 | + | 8.35385i | −0.112137 | + | 0.317336i | ||||
\(694\) | 39.1151 | + | 34.1940i | 1.48479 | + | 1.29798i | ||||
\(695\) | 2.55385 | − | 22.4040i | 0.0968731 | − | 0.849833i | ||||
\(696\) | 0.346224 | − | 1.19096i | 0.0131236 | − | 0.0451432i | ||||
\(697\) | −17.1499 | + | 5.57235i | −0.649600 | + | 0.211068i | ||||
\(698\) | −1.69050 | − | 2.83131i | −0.0639866 | − | 0.107167i | ||||
\(699\) | 16.3397 | + | 23.1037i | 0.618023 | + | 0.873863i | ||||
\(700\) | −13.4180 | − | 22.6214i | −0.507153 | − | 0.855008i | ||||
\(701\) | − | 24.1415i | − | 0.911812i | −0.890028 | − | 0.455906i | \(-0.849315\pi\) | ||
0.890028 | − | 0.455906i | \(-0.150685\pi\) | |||||||
\(702\) | 35.6941 | − | 37.8084i | 1.34719 | − | 1.42699i | ||||
\(703\) | −9.54028 | − | 29.3620i | −0.359818 | − | 1.10741i | ||||
\(704\) | 7.70343 | + | 4.62093i | 0.290334 | + | 0.174158i | ||||
\(705\) | 7.08071 | + | 37.2385i | 0.266675 | + | 1.40248i | ||||
\(706\) | −22.6079 | + | 25.8616i | −0.850861 | + | 0.973314i | ||||
\(707\) | − | 2.76638i | − | 0.104041i | ||||||
\(708\) | 5.14567 | + | 2.85817i | 0.193386 | + | 0.107417i | ||||
\(709\) | −12.4837 | + | 9.06991i | −0.468834 | + | 0.340628i | −0.796987 | − | 0.603997i | \(-0.793574\pi\) |
0.328153 | + | 0.944625i | \(0.393574\pi\) | |||||||
\(710\) | −4.49678 | + | 21.7855i | −0.168761 | + | 0.817595i | ||||
\(711\) | −9.59838 | − | 13.9458i | −0.359967 | − | 0.523008i | ||||
\(712\) | −18.8933 | + | 28.5676i | −0.708056 | + | 1.07062i | ||||
\(713\) | −12.3966 | + | 9.00667i | −0.464257 | + | 0.337303i | ||||
\(714\) | 12.9562 | − | 29.2504i | 0.484874 | − | 1.09467i | ||||
\(715\) | 8.74757 | + | 15.4632i | 0.327140 | + | 0.578292i | ||||
\(716\) | 9.53064 | + | 1.73531i | 0.356177 | + | 0.0648516i | ||||
\(717\) | −30.7179 | + | 9.54940i | −1.14718 | + | 0.356629i | ||||
\(718\) | −31.3089 | − | 13.3929i | −1.16844 | − | 0.499818i | ||||
\(719\) | 0.511996 | − | 1.57576i | 0.0190942 | − | 0.0587659i | −0.941055 | − | 0.338252i | \(-0.890164\pi\) |
0.960150 | + | 0.279487i | \(0.0901642\pi\) | |||||||
\(720\) | −4.93746 | + | 26.3746i | −0.184008 | + | 0.982925i | ||||
\(721\) | 4.13734 | + | 12.7334i | 0.154083 | + | 0.474218i | ||||
\(722\) | 3.92352 | − | 43.4517i | 0.146018 | − | 1.61710i | ||||
\(723\) | 0.240971 | − | 18.8889i | 0.00896181 | − | 0.702487i | ||||
\(724\) | 13.8729 | + | 14.5270i | 0.515584 | + | 0.539890i | ||||
\(725\) | −0.284886 | + | 1.23337i | −0.0105804 | + | 0.0458060i | ||||
\(726\) | −5.00451 | − | 23.3251i | −0.185735 | − | 0.865674i | ||||
\(727\) | −9.30425 | − | 6.75993i | −0.345076 | − | 0.250712i | 0.401725 | − | 0.915760i | \(-0.368411\pi\) |
−0.746800 | + | 0.665048i | \(0.768411\pi\) | |||||||
\(728\) | −32.7829 | − | 41.1824i | −1.21501 | − | 1.52632i | ||||
\(729\) | 20.5660 | + | 17.4940i | 0.761704 | + | 0.647926i | ||||
\(730\) | 6.64277 | − | 3.00453i | 0.245860 | − | 0.111203i | ||||
\(731\) | 11.3563 | − | 34.9510i | 0.420027 | − | 1.29271i | ||||
\(732\) | −2.72308 | + | 13.9439i | −0.100648 | + | 0.515382i | ||||
\(733\) | 11.8534 | + | 3.85140i | 0.437815 | + | 0.142255i | 0.519627 | − | 0.854393i | \(-0.326071\pi\) |
−0.0818124 | + | 0.996648i | \(0.526071\pi\) | |||||||
\(734\) | −33.5178 | + | 7.63991i | −1.23716 | + | 0.281994i | ||||
\(735\) | 0.0401380 | − | 0.316215i | 0.00148051 | − | 0.0116638i | ||||
\(736\) | −8.25882 | − | 15.4013i | −0.304424 | − | 0.567701i | ||||
\(737\) | 1.63244 | − | 1.18604i | 0.0601317 | − | 0.0436882i | ||||
\(738\) | −15.3041 | − | 1.77654i | −0.563353 | − | 0.0653954i | ||||
\(739\) | −3.08442 | + | 4.24534i | −0.113462 | + | 0.156167i | −0.861971 | − | 0.506957i | \(-0.830770\pi\) |
0.748509 | + | 0.663125i | \(0.230770\pi\) | |||||||
\(740\) | 15.5809 | − | 11.8170i | 0.572764 | − | 0.434400i | ||||
\(741\) | −81.9464 | − | 27.7866i | −3.01038 | − | 1.02077i | ||||
\(742\) | −2.81489 | + | 3.22001i | −0.103338 | + | 0.118210i | ||||
\(743\) | − | 19.7148i | − | 0.723266i | −0.932320 | − | 0.361633i | \(-0.882219\pi\) | ||
0.932320 | − | 0.361633i | \(-0.117781\pi\) | |||||||
\(744\) | −19.2024 | + | 14.8897i | −0.703992 | + | 0.545882i | ||||
\(745\) | 1.17889 | + | 2.08395i | 0.0431913 | + | 0.0763500i | ||||
\(746\) | 30.7000 | + | 2.77210i | 1.12401 | + | 0.101494i | ||||
\(747\) | −0.702628 | + | 27.5339i | −0.0257078 | + | 1.00741i | ||||
\(748\) | −1.49048 | − | 11.0517i | −0.0544972 | − | 0.404090i | ||||
\(749\) | 29.6871i | 1.08474i | ||||||||
\(750\) | 3.52715 | − | 27.1580i | 0.128793 | − | 0.991671i | ||||
\(751\) | 43.6176i | 1.59163i | 0.605540 | + | 0.795815i | \(0.292957\pi\) | ||||
−0.605540 | + | 0.795815i | \(0.707043\pi\) | |||||||
\(752\) | −30.5792 | − | 24.4446i | −1.11511 | − | 0.891405i | ||||
\(753\) | 14.9952 | − | 20.0949i | 0.546454 | − | 0.732300i | ||||
\(754\) | −0.227824 | + | 2.52308i | −0.00829687 | + | 0.0918850i | ||||
\(755\) | 9.63302 | + | 17.0285i | 0.350581 | + | 0.619729i | ||||
\(756\) | 20.4752 | − | 18.1074i | 0.744677 | − | 0.658559i | ||||
\(757\) | 13.1585i | 0.478255i | 0.970988 | + | 0.239127i | \(0.0768613\pi\) | ||||
−0.970988 | + | 0.239127i | \(0.923139\pi\) | |||||||
\(758\) | 14.2197 | + | 12.4307i | 0.516483 | + | 0.451504i | ||||
\(759\) | 1.92946 | − | 5.69023i | 0.0700348 | − | 0.206542i | ||||
\(760\) | 43.3244 | − | 10.8165i | 1.57154 | − | 0.392356i | ||||
\(761\) | −8.19231 | + | 11.2758i | −0.296971 | + | 0.408746i | −0.931263 | − | 0.364348i | \(-0.881292\pi\) |
0.634292 | + | 0.773094i | \(0.281292\pi\) | |||||||
\(762\) | −9.08297 | − | 8.14697i | −0.329041 | − | 0.295133i | ||||
\(763\) | −31.0917 | + | 22.5894i | −1.12559 | + | 0.817791i | ||||
\(764\) | −5.20766 | − | 38.6141i | −0.188406 | − | 1.39701i | ||||
\(765\) | 29.4020 | − | 15.6564i | 1.06303 | − | 0.566059i | ||||
\(766\) | −0.833951 | − | 3.65870i | −0.0301319 | − | 0.132194i | ||||
\(767\) | −11.4345 | − | 3.71531i | −0.412877 | − | 0.134152i | ||||
\(768\) | −13.8532 | − | 24.0019i | −0.499884 | − | 0.866093i | ||||
\(769\) | 10.7577 | − | 33.1089i | 0.387933 | − | 1.19394i | −0.546397 | − | 0.837526i | \(-0.684001\pi\) |
0.934330 | − | 0.356409i | \(-0.115999\pi\) | |||||||
\(770\) | 3.84881 | + | 8.50941i | 0.138702 | + | 0.306658i | ||||
\(771\) | −3.73622 | + | 5.00688i | −0.134557 | + | 0.180319i | ||||
\(772\) | −6.56686 | − | 3.53873i | −0.236346 | − | 0.127362i | ||||
\(773\) | −26.9509 | − | 19.5810i | −0.969357 | − | 0.704279i | −0.0140523 | − | 0.999901i | \(-0.504473\pi\) |
−0.955305 | + | 0.295622i | \(0.904473\pi\) | |||||||
\(774\) | 21.2617 | − | 23.1046i | 0.764237 | − | 0.830479i | ||||
\(775\) | 18.7185 | − | 16.2681i | 0.672387 | − | 0.584369i | ||||
\(776\) | 4.43816 | − | 1.66123i | 0.159321 | − | 0.0596347i | ||||
\(777\) | −19.9183 | − | 0.254103i | −0.714565 | − | 0.00911589i | ||||
\(778\) | −16.8188 | − | 1.51867i | −0.602983 | − | 0.0544471i | ||||
\(779\) | 7.92308 | + | 24.3847i | 0.283874 | + | 0.873674i | ||||
\(780\) | −0.427379 | − | 54.8065i | −0.0153026 | − | 1.96239i | ||||
\(781\) | 2.44087 | − | 7.51224i | 0.0873413 | − | 0.268809i | ||||
\(782\) | −8.53248 | + | 19.9466i | −0.305121 | + | 0.713289i | ||||
\(783\) | −1.31454 | − | 0.0503314i | −0.0469777 | − | 0.00179870i | ||||
\(784\) | 0.181037 | + | 0.274958i | 0.00646562 | + | 0.00981995i | ||||
\(785\) | 2.30306 | + | 4.07117i | 0.0821999 | + | 0.145306i | ||||
\(786\) | −12.1956 | + | 27.5332i | −0.435001 | + | 0.982075i | ||||
\(787\) | −18.5647 | + | 13.4881i | −0.661762 | + | 0.480798i | −0.867257 | − | 0.497860i | \(-0.834119\pi\) |
0.205496 | + | 0.978658i | \(0.434119\pi\) | |||||||
\(788\) | −11.9151 | − | 2.16947i | −0.424459 | − | 0.0772842i | ||||
\(789\) | 0.873328 | + | 0.0111413i | 0.0310913 | + | 0.000396640i | ||||
\(790\) | −17.4770 | − | 3.60746i | −0.621805 | − | 0.128348i | ||||
\(791\) | 0.888993 | − | 0.645891i | 0.0316090 | − | 0.0229652i | ||||
\(792\) | 2.77627 | − | 9.11456i | 0.0986504 | − | 0.323872i | ||||
\(793\) | − | 29.0196i | − | 1.03052i | ||||||
\(794\) | 0.862761 | + | 0.754216i | 0.0306182 | + | 0.0267661i | ||||
\(795\) | −4.37491 | + | 0.831866i | −0.155162 | + | 0.0295033i | ||||
\(796\) | 7.17527 | + | 3.86659i | 0.254321 | + | 0.137048i | ||||
\(797\) | −15.6797 | − | 48.2572i | −0.555404 | − | 1.70936i | −0.694873 | − | 0.719133i | \(-0.744539\pi\) |
0.139468 | − | 0.990227i | \(-0.455461\pi\) | |||||||
\(798\) | −41.5899 | − | 18.4218i | −1.47227 | − | 0.652126i | ||||
\(799\) | 48.5999i | 1.71934i | ||||||||
\(800\) | 15.4857 | + | 23.6684i | 0.547501 | + | 0.836805i | ||||
\(801\) | 34.2520 | + | 12.1036i | 1.21024 | + | 0.427659i | ||||
\(802\) | −24.2274 | + | 14.4656i | −0.855498 | + | 0.510797i | ||||
\(803\) | −2.46211 | + | 0.799990i | −0.0868861 | + | 0.0282310i | ||||
\(804\) | −6.17919 | + | 0.753225i | −0.217923 | + | 0.0265642i | ||||
\(805\) | 2.05778 | − | 18.0521i | 0.0725271 | − | 0.636254i | ||||
\(806\) | 32.6659 | − | 37.3671i | 1.15061 | − | 1.31620i | ||||
\(807\) | 0.216558 | − | 0.153156i | 0.00762320 | − | 0.00539136i | ||||
\(808\) | 0.130864 | + | 2.97205i | 0.00460378 | + | 0.104556i | ||||
\(809\) | 30.4807 | + | 41.9530i | 1.07164 | + | 1.47499i | 0.868402 | + | 0.495861i | \(0.165148\pi\) |
0.203241 | + | 0.979129i | \(0.434852\pi\) | |||||||
\(810\) | 28.4100 | − | 1.69468i | 0.998226 | − | 0.0595449i | ||||
\(811\) | 2.24946 | − | 3.09612i | 0.0789894 | − | 0.108720i | −0.767694 | − | 0.640817i | \(-0.778596\pi\) |
0.846683 | + | 0.532097i | \(0.178596\pi\) | |||||||
\(812\) | −0.238557 | + | 1.31020i | −0.00837172 | + | 0.0459790i | ||||
\(813\) | 7.48340 | − | 22.0696i | 0.262454 | − | 0.774014i | ||||
\(814\) | −5.96193 | + | 3.55972i | −0.208966 | + | 0.124768i | ||||
\(815\) | −9.21958 | + | 20.2276i | −0.322948 | + | 0.708542i | ||||
\(816\) | −12.5357 | + | 32.0379i | −0.438838 | + | 1.12155i | ||||
\(817\) | −49.6953 | − | 16.1470i | −1.73862 | − | 0.564912i | ||||
\(818\) | 28.2074 | + | 12.0662i | 0.986250 | + | 0.421884i | ||||
\(819\) | −33.9579 | + | 44.3160i | −1.18659 | + | 1.54853i | ||||
\(820\) | −12.9397 | + | 9.81383i | −0.451874 | + | 0.342714i | ||||
\(821\) | 16.5508 | − | 5.37769i | 0.577628 | − | 0.187683i | −0.00560959 | − | 0.999984i | \(-0.501786\pi\) |
0.583238 | + | 0.812302i | \(0.301786\pi\) | |||||||
\(822\) | 23.6405 | − | 13.7092i | 0.824557 | − | 0.478162i | ||||
\(823\) | 34.6505 | + | 25.1751i | 1.20784 | + | 0.877547i | 0.995033 | − | 0.0995466i | \(-0.0317392\pi\) |
0.212808 | + | 0.977094i | \(0.431739\pi\) | |||||||
\(824\) | −5.04729 | − | 13.4844i | −0.175831 | − | 0.469751i | ||||
\(825\) | −2.30925 | + | 9.44631i | −0.0803978 | + | 0.328878i | ||||
\(826\) | −5.81097 | − | 2.48574i | −0.202190 | − | 0.0864899i | ||||
\(827\) | 10.1653 | − | 13.9913i | 0.353482 | − | 0.486526i | −0.594836 | − | 0.803847i | \(-0.702783\pi\) |
0.948318 | + | 0.317321i | \(0.102783\pi\) | |||||||
\(828\) | −13.7275 | + | 12.4556i | −0.477063 | + | 0.432862i | ||||
\(829\) | 3.11956 | + | 9.60102i | 0.108347 | + | 0.333457i | 0.990501 | − | 0.137503i | \(-0.0439076\pi\) |
−0.882155 | + | 0.470960i | \(0.843908\pi\) | |||||||
\(830\) | 19.5533 | + | 21.4608i | 0.678706 | + | 0.744914i | ||||
\(831\) | 14.8320 | + | 47.7108i | 0.514518 | + | 1.65507i | ||||
\(832\) | 37.1682 | + | 42.6933i | 1.28858 | + | 1.48012i | ||||
\(833\) | 0.126290 | − | 0.388679i | 0.00437567 | − | 0.0134669i | ||||
\(834\) | 16.4933 | − | 18.3882i | 0.571116 | − | 0.636731i | ||||
\(835\) | 45.9857 | − | 9.35330i | 1.59140 | − | 0.323684i | ||||
\(836\) | −15.7139 | + | 2.11924i | −0.543477 | + | 0.0732955i | ||||
\(837\) | 20.2558 | + | 15.9355i | 0.700141 | + | 0.550812i | ||||
\(838\) | 19.9095 | − | 4.53809i | 0.687762 | − | 0.156766i | ||||
\(839\) | −11.1750 | − | 8.11910i | −0.385803 | − | 0.280302i | 0.377930 | − | 0.925834i | \(-0.376636\pi\) |
−0.763734 | + | 0.645532i | \(0.776636\pi\) | |||||||
\(840\) | 2.36723 | − | 28.7145i | 0.0816771 | − | 0.990743i | ||||
\(841\) | −23.4096 | + | 17.0081i | −0.807229 | + | 0.586486i | ||||
\(842\) | −2.75141 | + | 3.14738i | −0.0948198 | + | 0.108466i | ||||
\(843\) | 0.841257 | − | 0.594962i | 0.0289744 | − | 0.0204916i | ||||
\(844\) | 7.58784 | + | 15.7799i | 0.261184 | + | 0.543167i | ||||
\(845\) | 16.5194 | + | 81.2182i | 0.568286 | + | 2.79399i | ||||
\(846\) | −17.2996 | + | 37.7483i | −0.594771 | + | 1.29781i | ||||
\(847\) | 7.91559 | + | 24.3617i | 0.271983 | + | 0.837077i | ||||
\(848\) | 2.87184 | − | 3.59255i | 0.0986195 | − | 0.123369i | ||||
\(849\) | 19.0640 | + | 26.9559i | 0.654275 | + | 0.925123i | ||||
\(850\) | 10.9470 | − | 33.3624i | 0.375478 | − | 1.14432i | ||||
\(851\) | 13.5087 | 0.463071 | ||||||||
\(852\) | −17.8361 | + | 16.6033i | −0.611054 | + | 0.568819i | ||||
\(853\) | 48.4207 | − | 15.7328i | 1.65789 | − | 0.538682i | 0.677464 | − | 0.735556i | \(-0.263079\pi\) |
0.980429 | + | 0.196874i | \(0.0630790\pi\) | |||||||
\(854\) | 1.37190 | − | 15.1934i | 0.0469456 | − | 0.519906i | ||||
\(855\) | −22.2612 | − | 41.8054i | −0.761316 | − | 1.42971i | ||||
\(856\) | −1.40435 | − | 31.8941i | −0.0479997 | − | 1.09012i | ||||
\(857\) | −2.33030 | −0.0796016 | −0.0398008 | − | 0.999208i | \(-0.512672\pi\) | ||||
−0.0398008 | + | 0.999208i | \(0.512672\pi\) | |||||||
\(858\) | −1.99731 | + | 19.3589i | −0.0681869 | + | 0.660903i | ||||
\(859\) | 25.9926 | + | 35.7758i | 0.886856 | + | 1.22065i | 0.974474 | + | 0.224499i | \(0.0720746\pi\) |
−0.0876178 | + | 0.996154i | \(0.527925\pi\) | |||||||
\(860\) | −0.680245 | − | 33.0903i | −0.0231962 | − | 1.12837i | ||||
\(861\) | 16.5419 | + | 0.211029i | 0.563746 | + | 0.00719185i | ||||
\(862\) | −8.72025 | + | 1.98766i | −0.297013 | + | 0.0677000i | ||||
\(863\) | 28.1433 | + | 38.7360i | 0.958010 | + | 1.31859i | 0.947876 | + | 0.318640i | \(0.103226\pi\) |
0.0101346 | + | 0.999949i | \(0.496774\pi\) | |||||||
\(864\) | −21.1409 | + | 20.4221i | −0.719227 | + | 0.694775i | ||||
\(865\) | 21.5339 | + | 2.45466i | 0.732174 | + | 0.0834611i | ||||
\(866\) | −4.25551 | − | 18.6698i | −0.144608 | − | 0.634424i | ||||
\(867\) | 12.6657 | − | 3.93745i | 0.430151 | − | 0.133723i | ||||
\(868\) | 18.8690 | − | 18.0195i | 0.640454 | − | 0.611621i | ||||
\(869\) | 6.02656 | + | 1.95815i | 0.204437 | + | 0.0664256i | ||||
\(870\) | −1.03684 | + | 0.920754i | −0.0351521 | + | 0.0312165i | ||||
\(871\) | 12.0926 | − | 3.92912i | 0.409742 | − | 0.133133i | ||||
\(872\) | 32.3346 | − | 25.7396i | 1.09499 | − | 0.871653i | ||||
\(873\) | −2.84971 | − | 4.14044i | −0.0964481 | − | 0.140133i | ||||
\(874\) | 28.3612 | + | 12.1320i | 0.959331 | + | 0.410369i | ||||
\(875\) | −0.774563 | + | 29.3958i | −0.0261850 | + | 0.993759i | ||||
\(876\) | 7.83844 | + | 1.53075i | 0.264836 | + | 0.0517193i | ||||
\(877\) | −0.964828 | + | 1.32797i | −0.0325799 | + | 0.0448424i | −0.824996 | − | 0.565138i | \(-0.808823\pi\) |
0.792416 | + | 0.609981i | \(0.208823\pi\) | |||||||
\(878\) | 19.8317 | + | 1.79073i | 0.669286 | + | 0.0604340i | ||||
\(879\) | −7.29095 | + | 9.77056i | −0.245918 | + | 0.329553i | ||||
\(880\) | −4.53749 | − | 8.95997i | −0.152959 | − | 0.302040i | ||||
\(881\) | −21.9092 | − | 7.11873i | −0.738140 | − | 0.239836i | −0.0842696 | − | 0.996443i | \(-0.526856\pi\) |
−0.653870 | + | 0.756607i | \(0.726856\pi\) | |||||||
\(882\) | 0.236445 | − | 0.256939i | 0.00796151 | − | 0.00865159i | ||||
\(883\) | −13.2951 | + | 40.9180i | −0.447415 | + | 1.37700i | 0.432398 | + | 0.901683i | \(0.357667\pi\) |
−0.879813 | + | 0.475319i | \(0.842333\pi\) | |||||||
\(884\) | 12.5878 | − | 69.1345i | 0.423373 | − | 2.32524i | ||||
\(885\) | −3.16697 | − | 5.76880i | −0.106456 | − | 0.193916i | ||||
\(886\) | −21.5382 | + | 12.8600i | −0.723591 | + | 0.432039i | ||||
\(887\) | −9.80534 | − | 13.4959i | −0.329231 | − | 0.453148i | 0.612026 | − | 0.790837i | \(-0.290355\pi\) |
−0.941258 | + | 0.337689i | \(0.890355\pi\) | |||||||
\(888\) | 21.4111 | − | 0.669244i | 0.718511 | − | 0.0224584i | ||||
\(889\) | 10.5992 | + | 7.70074i | 0.355484 | + | 0.258275i | ||||
\(890\) | 34.8898 | − | 15.7807i | 1.16951 | − | 0.528970i | ||||
\(891\) | −10.0928 | − | 0.515446i | −0.338122 | − | 0.0172681i | ||||
\(892\) | −5.79705 | + | 2.78754i | −0.194100 | + | 0.0933337i | ||||
\(893\) | 69.1021 | 2.31241 | ||||||||
\(894\) | −0.269173 | + | 2.60897i | −0.00900249 | + | 0.0872569i | ||||
\(895\) | −7.98488 | − | 7.31760i | −0.266905 | − | 0.244600i | ||||
\(896\) | 17.4413 | + | 24.1095i | 0.582673 | + | 0.805441i | ||||
\(897\) | 22.6433 | − | 30.3441i | 0.756037 | − | 1.01316i | ||||
\(898\) | −34.3440 | + | 20.5060i | −1.14607 | + | 0.684293i | ||||
\(899\) | −1.25571 | −0.0418802 | ||||||||
\(900\) | 20.3783 | − | 22.0164i | 0.679278 | − | 0.733881i | ||||
\(901\) | −5.70969 | −0.190217 | ||||||||
\(902\) | 4.95131 | − | 2.95631i | 0.164861 | − | 0.0984342i | ||||
\(903\) | −20.1633 | + | 27.0207i | −0.670992 | + | 0.899192i | ||||
\(904\) | −0.924531 | + | 0.735964i | −0.0307494 | + | 0.0244778i | ||||
\(905\) | −4.47621 | − | 22.0074i | −0.148794 | − | 0.731552i | ||||
\(906\) | −2.19948 | + | 21.3185i | −0.0730728 | + | 0.708260i | ||||
\(907\) | −52.4596 | −1.74189 | −0.870946 | − | 0.491378i | \(-0.836493\pi\) | ||||
−0.870946 | + | 0.491378i | \(0.836493\pi\) | |||||||
\(908\) | 9.61232 | + | 19.9901i | 0.318996 | + | 0.663394i | ||||
\(909\) | 3.02485 | − | 0.898196i | 0.100328 | − | 0.0297913i | ||||
\(910\) | 6.49598 | + | 58.4909i | 0.215340 | + | 1.93896i | ||||
\(911\) | −26.9064 | − | 19.5486i | −0.891449 | − | 0.647676i | 0.0448064 | − | 0.998996i | \(-0.485733\pi\) |
−0.936255 | + | 0.351320i | \(0.885733\pi\) | |||||||
\(912\) | 45.5533 | + | 17.8240i | 1.50842 | + | 0.590211i | ||||
\(913\) | −6.05957 | − | 8.34028i | −0.200542 | − | 0.276023i | ||||
\(914\) | 7.21898 | − | 4.31028i | 0.238783 | − | 0.142571i | ||||
\(915\) | 10.8804 | − | 11.5727i | 0.359695 | − | 0.382581i | ||||
\(916\) | 12.7832 | + | 2.32753i | 0.422370 | + | 0.0769038i | ||||
\(917\) | 9.99183 | − | 30.7517i | 0.329959 | − | 1.01551i | ||||
\(918\) | 36.1900 | + | 4.66962i | 1.19445 | + | 0.154120i | ||||
\(919\) | −23.6001 | − | 7.66815i | −0.778496 | − | 0.252949i | −0.107298 | − | 0.994227i | \(-0.534220\pi\) |
−0.671198 | + | 0.741278i | \(0.734220\pi\) | |||||||
\(920\) | −1.35680 | + | 19.4916i | −0.0447325 | + | 0.642618i | ||||
\(921\) | 24.2792 | − | 32.5364i | 0.800027 | − | 1.07211i | ||||
\(922\) | −42.7864 | − | 3.86345i | −1.40909 | − | 0.127236i | ||||
\(923\) | 29.2561 | − | 40.2675i | 0.962975 | − | 1.32542i | ||||
\(924\) | −1.96090 | + | 10.0411i | −0.0645088 | + | 0.330327i | ||||
\(925\) | −21.7803 | + | 1.90314i | −0.716133 | + | 0.0625749i | ||||
\(926\) | 15.7176 | + | 6.72345i | 0.516512 | + | 0.220946i | ||||
\(927\) | −12.5798 | + | 8.65822i | −0.413175 | + | 0.284373i | ||||
\(928\) | 0.194313 | − | 1.41889i | 0.00637865 | − | 0.0465774i | ||||
\(929\) | 28.5293 | − | 9.26973i | 0.936016 | − | 0.304130i | 0.198995 | − | 0.980000i | \(-0.436232\pi\) |
0.737021 | + | 0.675870i | \(0.236232\pi\) | |||||||
\(930\) | 27.0369 | − | 2.65404i | 0.886576 | − | 0.0870293i | ||||
\(931\) | −0.552646 | − | 0.179565i | −0.0181122 | − | 0.00588502i | ||||
\(932\) | 22.5670 | + | 23.6309i | 0.739207 | + | 0.774055i | ||||
\(933\) | −4.12513 | + | 1.28239i | −0.135051 | + | 0.0419837i | ||||
\(934\) | −6.57424 | − | 28.8425i | −0.215116 | − | 0.943755i | ||||
\(935\) | −5.17102 | + | 11.3451i | −0.169111 | + | 0.371026i | ||||
\(936\) | 34.3861 | − | 49.2170i | 1.12395 | − | 1.60871i | ||||
\(937\) | 11.4144 | + | 15.7106i | 0.372893 | + | 0.513243i | 0.953684 | − | 0.300809i | \(-0.0972568\pi\) |
−0.580791 | + | 0.814052i | \(0.697257\pi\) | |||||||
\(938\) | 6.51690 | − | 1.48544i | 0.212784 | − | 0.0485012i | ||||
\(939\) | 37.9295 | + | 0.483876i | 1.23778 | + | 0.0157907i | ||||
\(940\) | 14.3783 | + | 41.3407i | 0.468968 | + | 1.34838i | ||||
\(941\) | 14.0424 | + | 19.3277i | 0.457770 | + | 0.630067i | 0.974044 | − | 0.226357i | \(-0.0726815\pi\) |
−0.516274 | + | 0.856423i | \(0.672681\pi\) | |||||||
\(942\) | −0.525852 | + | 5.09683i | −0.0171332 | + | 0.166064i | ||||
\(943\) | −11.2188 | −0.365334 | ||||||||
\(944\) | 6.36057 | + | 2.39565i | 0.207019 | + | 0.0779718i | ||||
\(945\) | −30.1576 | + | 4.94075i | −0.981025 | + | 0.160723i | ||||
\(946\) | −1.05690 | + | 11.7048i | −0.0343628 | + | 0.380556i | ||||
\(947\) | −4.46080 | + | 1.44940i | −0.144957 | + | 0.0470992i | −0.380597 | − | 0.924741i | \(-0.624281\pi\) |
0.235640 | + | 0.971840i | \(0.424281\pi\) | |||||||
\(948\) | −13.3197 | − | 14.3087i | −0.432603 | − | 0.464724i | ||||
\(949\) | −16.3131 | −0.529545 | ||||||||
\(950\) | −47.4366 | − | 15.5650i | −1.53905 | − | 0.504996i | ||||
\(951\) | 4.93028 | + | 6.97125i | 0.159875 | + | 0.226058i | ||||
\(952\) | 9.85875 | − | 35.6006i | 0.319524 | − | 1.15382i | ||||
\(953\) | 16.6302 | + | 51.1824i | 0.538704 | + | 1.65796i | 0.735506 | + | 0.677518i | \(0.236945\pi\) |
−0.196801 | + | 0.980443i | \(0.563055\pi\) | |||||||
\(954\) | −4.43480 | − | 2.03241i | −0.143582 | − | 0.0658018i | ||||
\(955\) | −18.0673 | + | 39.6394i | −0.584645 | + | 1.28270i | ||||
\(956\) | −33.4754 | + | 16.0968i | −1.08267 | + | 0.520608i | ||||
\(957\) | 0.402007 | − | 0.284312i | 0.0129951 | − | 0.00919050i | ||||
\(958\) | 33.2962 | − | 38.0881i | 1.07575 | − | 1.23057i | ||||
\(959\) | −23.7394 | + | 17.2477i | −0.766584 | + | 0.556956i | ||||
\(960\) | −1.18488 | + | 30.9612i | −0.0382417 | + | 0.999269i | ||||
\(961\) | −5.17662 | − | 3.76103i | −0.166988 | − | 0.121324i | ||||
\(962\) | −42.6611 | + | 9.72401i | −1.37545 | + | 0.313515i | ||||
\(963\) | −32.4608 | + | 9.63886i | −1.04603 | + | 0.310608i | ||||
\(964\) | −2.91538 | − | 21.6171i | −0.0938979 | − | 0.696241i | ||||
\(965\) | 4.10648 | + | 7.25911i | 0.132192 | + | 0.233679i | ||||
\(966\) | 13.2895 | − | 14.8164i | 0.427584 | − | 0.476709i | ||||
\(967\) | 17.7400 | − | 54.5980i | 0.570479 | − | 1.75575i | −0.0806028 | − | 0.996746i | \(-0.525685\pi\) |
0.651082 | − | 0.759008i | \(-0.274315\pi\) | |||||||
\(968\) | −9.65650 | − | 25.7984i | −0.310372 | − | 0.829192i | ||||
\(969\) | −18.0269 | − | 57.9879i | −0.579108 | − | 1.86284i | ||||
\(970\) | −5.18884 | − | 1.07104i | −0.166604 | − | 0.0343889i | ||||
\(971\) | −1.93506 | − | 5.95550i | −0.0620990 | − | 0.191121i | 0.915194 | − | 0.403014i | \(-0.132037\pi\) |
−0.977293 | + | 0.211893i | \(0.932037\pi\) | |||||||
\(972\) | 26.4471 | + | 16.5091i | 0.848291 | + | 0.529530i | ||||
\(973\) | −15.5899 | + | 21.4577i | −0.499790 | + | 0.687902i | ||||
\(974\) | −54.2137 | − | 23.1908i | −1.73712 | − | 0.743081i | ||||
\(975\) | −32.2333 | + | 52.1146i | −1.03229 | + | 1.66900i | ||||
\(976\) | −0.755173 | + | 16.3878i | −0.0241725 | + | 0.524561i | ||||
\(977\) | −7.15321 | − | 5.19711i | −0.228851 | − | 0.166270i | 0.467451 | − | 0.884019i | \(-0.345173\pi\) |
−0.696302 | + | 0.717749i | \(0.745173\pi\) | |||||||
\(978\) | −21.0656 | + | 12.2159i | −0.673602 | + | 0.390623i | ||||
\(979\) | −12.9318 | + | 4.20179i | −0.413301 | + | 0.134290i | ||||
\(980\) | −0.00756478 | − | 0.367986i | −0.000241648 | − | 0.0117549i | ||||
\(981\) | −34.7949 | − | 26.6622i | −1.11091 | − | 0.851259i | ||||
\(982\) | −43.3055 | − | 18.5246i | −1.38193 | − | 0.591144i | ||||
\(983\) | 23.3175 | + | 7.57633i | 0.743714 | + | 0.241647i | 0.656274 | − | 0.754522i | \(-0.272131\pi\) |
0.0874399 | + | 0.996170i | \(0.472131\pi\) | |||||||
\(984\) | −17.7817 | + | 0.555799i | −0.566859 | + | 0.0177182i | ||||
\(985\) | 9.98264 | + | 9.14840i | 0.318073 | + | 0.291492i | ||||
\(986\) | −1.52648 | + | 0.911424i | −0.0486130 | + | 0.0290256i | ||||
\(987\) | 14.3177 | − | 42.2248i | 0.455737 | − | 1.34403i | ||||
\(988\) | −98.2992 | − | 17.8980i | −3.12731 | − | 0.569412i | ||||
\(989\) | 13.4388 | − | 18.4970i | 0.427330 | − | 0.588170i | ||||
\(990\) | −8.05481 | + | 6.97127i | −0.255999 | + | 0.221561i | ||||
\(991\) | 28.2279 | + | 38.8523i | 0.896688 | + | 1.23418i | 0.971513 | + | 0.236988i | \(0.0761602\pi\) |
−0.0748249 | + | 0.997197i | \(0.523840\pi\) | |||||||
\(992\) | −19.4193 | + | 20.2517i | −0.616565 | + | 0.642993i | ||||
\(993\) | −9.69892 | + | 6.85937i | −0.307786 | + | 0.217676i | ||||
\(994\) | 17.2208 | − | 19.6992i | 0.546211 | − | 0.624821i | ||||
\(995\) | −4.48695 | − | 7.93166i | −0.142246 | − | 0.251450i | ||||
\(996\) | 3.84830 | + | 31.5701i | 0.121938 | + | 1.00034i | ||||
\(997\) | 52.2528 | − | 16.9780i | 1.65486 | − | 0.537698i | 0.675078 | − | 0.737746i | \(-0.264110\pi\) |
0.979786 | + | 0.200048i | \(0.0641099\pi\) | |||||||
\(998\) | 3.58623 | − | 2.14125i | 0.113520 | − | 0.0677801i | ||||
\(999\) | −6.18928 | − | 21.8618i | −0.195820 | − | 0.691677i |
(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 | 300.2.r.a.59.18 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.59.39 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.59.4 | ✓ | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.59.53 | yes | 224 | |
25.14 | even | 10 | inner | 300.2.r.a.239.53 | yes | 224 | |
75.14 | odd | 10 | inner | 300.2.r.a.239.4 | yes | 224 | |
100.39 | odd | 10 | inner | 300.2.r.a.239.39 | yes | 224 | |
300.239 | even | 10 | inner | 300.2.r.a.239.18 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.59.4 | ✓ | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.59.18 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.59.39 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.59.53 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.239.4 | yes | 224 | 75.14 | odd | 10 | inner | |
300.2.r.a.239.18 | yes | 224 | 300.239 | even | 10 | inner | |
300.2.r.a.239.39 | yes | 224 | 100.39 | odd | 10 | inner | |
300.2.r.a.239.53 | yes | 224 | 25.14 | even | 10 | inner |