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 | 59.53 | ||
Character | \(\chi\) | \(=\) | 300.59 |
Dual form | 300.2.r.a.239.53 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.37885 | + | 0.314289i | 0.974993 | + | 0.222236i | ||||
\(3\) | −1.65397 | − | 0.514177i | −0.954921 | − | 0.296860i | ||||
\(4\) | 1.80244 | + | 0.866714i | 0.901222 | + | 0.433357i | ||||
\(5\) | −1.94623 | + | 1.10099i | −0.870383 | + | 0.492376i | ||||
\(6\) | −2.11898 | − | 1.22880i | −0.865068 | − | 0.501654i | ||||
\(7\) | 2.63015 | 0.994104 | 0.497052 | − | 0.867721i | \(-0.334416\pi\) | ||||
0.497052 | + | 0.867721i | \(0.334416\pi\) | |||||||
\(8\) | 2.21290 | + | 1.76156i | 0.782378 | + | 0.622804i | ||||
\(9\) | 2.47124 | + | 1.70087i | 0.823748 | + | 0.566956i | ||||
\(10\) | −3.02959 | + | 0.906413i | −0.958040 | + | 0.286633i | ||||
\(11\) | 0.908434 | + | 0.660016i | 0.273903 | + | 0.199002i | 0.716254 | − | 0.697840i | \(-0.245855\pi\) |
−0.442351 | + | 0.896842i | \(0.645855\pi\) | |||||||
\(12\) | −2.53555 | − | 2.36030i | −0.731950 | − | 0.681359i | ||||
\(13\) | 4.15899 | + | 5.72437i | 1.15350 | + | 1.58765i | 0.732787 | + | 0.680459i | \(0.238219\pi\) |
0.420711 | + | 0.907195i | \(0.361781\pi\) | |||||||
\(14\) | 3.62658 | + | 0.826628i | 0.969244 | + | 0.220926i | ||||
\(15\) | 3.78512 | − | 0.820292i | 0.977313 | − | 0.211799i | ||||
\(16\) | 2.49761 | + | 3.12441i | 0.624403 | + | 0.781102i | ||||
\(17\) | 1.53447 | − | 4.72262i | 0.372164 | − | 1.14540i | −0.573207 | − | 0.819410i | \(-0.694301\pi\) |
0.945372 | − | 0.325994i | \(-0.105699\pi\) | |||||||
\(18\) | 2.87291 | + | 3.12192i | 0.677151 | + | 0.735844i | ||||
\(19\) | −6.71489 | − | 2.18180i | −1.54050 | − | 0.500539i | −0.588986 | − | 0.808143i | \(-0.700473\pi\) |
−0.951515 | + | 0.307604i | \(0.900473\pi\) | |||||||
\(20\) | −4.46222 | + | 0.297638i | −0.997783 | + | 0.0665539i | ||||
\(21\) | −4.35020 | − | 1.35236i | −0.949291 | − | 0.295110i | ||||
\(22\) | 1.04516 | + | 1.19557i | 0.222828 | + | 0.254897i | ||||
\(23\) | −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 | ||||
\(27\) | −3.21282 | − | 4.08384i | −0.618308 | − | 0.785936i | ||||
\(28\) | 4.74070 | + | 2.27959i | 0.895909 | + | 0.430802i | ||||
\(29\) | 0.240777 | − | 0.0782332i | 0.0447112 | − | 0.0145275i | −0.286576 | − | 0.958058i | \(-0.592517\pi\) |
0.331287 | + | 0.943530i | \(0.392517\pi\) | |||||||
\(30\) | 5.47691 | + | 0.0585630i | 0.999943 | + | 0.0106921i | ||||
\(31\) | −4.71722 | − | 1.53272i | −0.847237 | − | 0.275284i | −0.146949 | − | 0.989144i | \(-0.546945\pi\) |
−0.700288 | + | 0.713860i | \(0.746945\pi\) | |||||||
\(32\) | 2.46186 | + | 5.09306i | 0.435200 | + | 0.900334i | ||||
\(33\) | −1.16316 | − | 1.55874i | −0.202480 | − | 0.271342i | ||||
\(34\) | 3.60007 | − | 6.02951i | 0.617408 | − | 1.03405i | ||||
\(35\) | −5.11889 | + | 2.89576i | −0.865251 | + | 0.489473i | ||||
\(36\) | 2.98012 | + | 5.20758i | 0.496686 | + | 0.867930i | ||||
\(37\) | −2.57019 | − | 3.53756i | −0.422536 | − | 0.581571i | 0.543684 | − | 0.839290i | \(-0.317029\pi\) |
−0.966220 | + | 0.257719i | \(0.917029\pi\) | |||||||
\(38\) | −8.57310 | − | 5.11879i | −1.39074 | − | 0.830377i | ||||
\(39\) | −3.93553 | − | 11.6064i | −0.630188 | − | 1.85851i | ||||
\(40\) | −6.24627 | − | 0.992030i | −0.987622 | − | 0.156854i | ||||
\(41\) | −2.13451 | − | 2.93790i | −0.333354 | − | 0.458823i | 0.609131 | − | 0.793069i | \(-0.291518\pi\) |
−0.942486 | + | 0.334247i | \(0.891518\pi\) | |||||||
\(42\) | −5.57323 | − | 3.23192i | −0.859968 | − | 0.498696i | ||||
\(43\) | 7.40077 | 1.12861 | 0.564303 | − | 0.825567i | \(-0.309145\pi\) | ||||
0.564303 | + | 0.825567i | \(0.309145\pi\) | |||||||
\(44\) | 1.06536 | + | 1.97699i | 0.160609 | + | 0.298043i | ||||
\(45\) | −6.68225 | − | 0.589479i | −0.996132 | − | 0.0878743i | ||||
\(46\) | −3.28932 | + | 2.87549i | −0.484984 | + | 0.423968i | ||||
\(47\) | 9.30818 | − | 3.02441i | 1.35774 | − | 0.441156i | 0.462451 | − | 0.886645i | \(-0.346970\pi\) |
0.895287 | + | 0.445489i | \(0.146970\pi\) | |||||||
\(48\) | −2.52448 | − | 6.45190i | −0.364378 | − | 0.931251i | ||||
\(49\) | −0.0823015 | −0.0117574 | ||||||||
\(50\) | 4.89834 | − | 5.09963i | 0.692730 | − | 0.721197i | ||||
\(51\) | −4.96624 | + | 7.02209i | −0.695412 | + | 0.983290i | ||||
\(52\) | 2.53497 | + | 13.9225i | 0.351537 | + | 1.93070i | ||||
\(53\) | −0.355319 | − | 1.09356i | −0.0488068 | − | 0.150212i | 0.923683 | − | 0.383158i | \(-0.125163\pi\) |
−0.972490 | + | 0.232946i | \(0.925163\pi\) | |||||||
\(54\) | −3.14649 | − | 6.64075i | −0.428183 | − | 0.903692i | ||||
\(55\) | −2.49469 | − | 0.284372i | −0.336384 | − | 0.0383447i | ||||
\(56\) | 5.82026 | + | 4.63316i | 0.777765 | + | 0.619132i | ||||
\(57\) | 9.98440 | + | 7.06127i | 1.32247 | + | 0.935288i | ||||
\(58\) | 0.356583 | − | 0.0321981i | 0.0468216 | − | 0.00422782i | ||||
\(59\) | −1.37468 | + | 0.998760i | −0.178967 | + | 0.130027i | −0.673662 | − | 0.739039i | \(-0.735280\pi\) |
0.494695 | + | 0.869067i | \(0.335280\pi\) | |||||||
\(60\) | 7.53343 | + | 1.80208i | 0.972561 | + | 0.232648i | ||||
\(61\) | −3.31802 | − | 2.41068i | −0.424829 | − | 0.308656i | 0.354749 | − | 0.934962i | \(-0.384566\pi\) |
−0.779578 | + | 0.626305i | \(0.784566\pi\) | |||||||
\(62\) | −6.02261 | − | 3.59595i | −0.764872 | − | 0.456687i | ||||
\(63\) | 6.49975 | + | 4.47354i | 0.818891 | + | 0.563613i | ||||
\(64\) | 1.79384 | + | 7.79629i | 0.224230 | + | 0.974536i | ||||
\(65\) | −14.3968 | − | 6.56196i | −1.78571 | − | 0.813911i | ||||
\(66\) | −1.11392 | − | 2.51484i | −0.137115 | − | 0.309555i | ||||
\(67\) | −0.555298 | + | 1.70903i | −0.0678404 | + | 0.208791i | −0.979230 | − | 0.202754i | \(-0.935011\pi\) |
0.911389 | + | 0.411545i | \(0.135011\pi\) | |||||||
\(68\) | 6.85897 | − | 7.18232i | 0.831772 | − | 0.870984i | ||||
\(69\) | 4.28850 | − | 3.20015i | 0.516274 | − | 0.385252i | ||||
\(70\) | −7.96828 | + | 2.38400i | −0.952392 | + | 0.284943i | ||||
\(71\) | −2.17375 | − | 6.69012i | −0.257977 | − | 0.793971i | −0.993229 | − | 0.116177i | \(-0.962936\pi\) |
0.735252 | − | 0.677794i | \(-0.237064\pi\) | |||||||
\(72\) | 2.47244 | + | 8.11708i | 0.291380 | + | 0.956607i | ||||
\(73\) | −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 | ||||
\(75\) | −6.46360 | + | 5.76385i | −0.746352 | + | 0.665552i | ||||
\(76\) | −10.2122 | − | 9.75246i | −1.17142 | − | 1.11868i | ||||
\(77\) | 2.38932 | + | 1.73594i | 0.272288 | + | 0.197829i | ||||
\(78\) | −1.77873 | − | 17.2404i | −0.201401 | − | 1.95209i | ||||
\(79\) | −5.36703 | + | 1.74385i | −0.603838 | + | 0.196199i | −0.594951 | − | 0.803762i | \(-0.702829\pi\) |
−0.00888659 | + | 0.999961i | \(0.502829\pi\) | |||||||
\(80\) | −8.30087 | − | 3.33099i | −0.928066 | − | 0.372416i | ||||
\(81\) | 3.21410 | + | 8.40652i | 0.357123 | + | 0.934058i | ||||
\(82\) | −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 | \(0.768091\pi\) | |||||||
\(84\) | −6.66888 | − | 6.20794i | −0.727634 | − | 0.677341i | ||||
\(85\) | 2.21310 | + | 10.8808i | 0.240044 | + | 1.18018i | ||||
\(86\) | 10.2045 | + | 2.32598i | 1.10038 | + | 0.250817i | ||||
\(87\) | −0.438464 | + | 0.00559360i | −0.0470083 | + | 0.000599697i | ||||
\(88\) | 0.847617 | + | 3.06080i | 0.0903563 | + | 0.326283i | ||||
\(89\) | 7.11762 | − | 9.79656i | 0.754466 | − | 1.03843i | −0.243188 | − | 0.969979i | \(-0.578193\pi\) |
0.997654 | − | 0.0684541i | \(-0.0218067\pi\) | |||||||
\(90\) | −9.02855 | − | 2.91296i | −0.951692 | − | 0.307053i | ||||
\(91\) | 10.9388 | + | 15.0559i | 1.14670 | + | 1.57829i | ||||
\(92\) | −5.43921 | + | 2.93107i | −0.567077 | + | 0.305585i | ||||
\(93\) | 7.01406 | + | 4.96055i | 0.727324 | + | 0.514385i | ||||
\(94\) | 13.7851 | − | 1.24474i | 1.42183 | − | 0.128386i | ||||
\(95\) | 15.4709 | − | 3.14671i | 1.58728 | − | 0.322845i | ||||
\(96\) | −1.45312 | − | 9.68961i | −0.148308 | − | 0.988941i | ||||
\(97\) | 1.59344 | − | 0.517741i | 0.161790 | − | 0.0525686i | −0.227002 | − | 0.973894i | \(-0.572892\pi\) |
0.388792 | + | 0.921326i | \(0.372892\pi\) | |||||||
\(98\) | −0.113481 | − | 0.0258665i | −0.0114633 | − | 0.00261291i | ||||
\(99\) | 1.12236 | + | 3.17619i | 0.112802 | + | 0.319219i | ||||
\(100\) | 8.35683 | − | 5.49212i | 0.835683 | − | 0.549212i | ||||
\(101\) | − | 1.05180i | − | 0.104658i | −0.998630 | − | 0.0523288i | \(-0.983336\pi\) | ||
0.998630 | − | 0.0523288i | \(-0.0166644\pi\) | |||||||
\(102\) | −9.05466 | + | 8.12157i | −0.896545 | + | 0.804155i | ||||
\(103\) | 1.57304 | + | 4.84133i | 0.154997 | + | 0.477030i | 0.998161 | − | 0.0606261i | \(-0.0193097\pi\) |
−0.843164 | + | 0.537657i | \(0.819310\pi\) | |||||||
\(104\) | −0.880357 | + | 19.9937i | −0.0863261 | + | 1.96055i | ||||
\(105\) | 9.95544 | − | 2.15749i | 0.971551 | − | 0.210550i | ||||
\(106\) | −0.146237 | − | 1.61952i | −0.0142038 | − | 0.157302i | ||||
\(107\) | − | 11.2872i | − | 1.09117i | −0.838054 | − | 0.545587i | \(-0.816307\pi\) | ||
0.838054 | − | 0.545587i | \(-0.183693\pi\) | |||||||
\(108\) | −2.25141 | − | 10.1455i | −0.216642 | − | 0.976251i | ||||
\(109\) | 11.8212 | − | 8.58863i | 1.13227 | − | 0.822642i | 0.146246 | − | 0.989248i | \(-0.453281\pi\) |
0.986023 | + | 0.166606i | \(0.0532809\pi\) | |||||||
\(110\) | −3.35043 | − | 1.17616i | −0.319451 | − | 0.112143i | ||||
\(111\) | 2.43209 | + | 7.17256i | 0.230844 | + | 0.680789i | ||||
\(112\) | 6.56910 | + | 8.21767i | 0.620722 | + | 0.776497i | ||||
\(113\) | 0.338001 | − | 0.245572i | 0.0317964 | − | 0.0231015i | −0.571774 | − | 0.820411i | \(-0.693744\pi\) |
0.603570 | + | 0.797310i | \(0.293744\pi\) | |||||||
\(114\) | 11.5477 | + | 12.8744i | 1.08154 | + | 1.20580i | ||||
\(115\) | 0.782380 | − | 6.86353i | 0.0729573 | − | 0.640028i | ||||
\(116\) | 0.501793 | + | 0.0676739i | 0.0465903 | + | 0.00628336i | ||||
\(117\) | 0.541511 | + | 21.2202i | 0.0500627 | + | 1.96181i | ||||
\(118\) | −2.20937 | + | 0.945093i | −0.203389 | + | 0.0870028i | ||||
\(119\) | 4.03590 | − | 12.4212i | 0.369970 | − | 1.13865i | ||||
\(120\) | 9.82107 | + | 4.85247i | 0.896537 | + | 0.442968i | ||||
\(121\) | −3.00956 | − | 9.26246i | −0.273596 | − | 0.842042i | ||||
\(122\) | −3.81740 | − | 4.36678i | −0.345611 | − | 0.395350i | ||||
\(123\) | 2.01982 | + | 5.95672i | 0.182121 | + | 0.537099i | ||||
\(124\) | −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 | 0.752047 | − | 0.659109i | \(-0.229066\pi\) |
−0.394455 | + | 0.918915i | \(0.629066\pi\) | |||||||
\(128\) | 0.0231433 | + | 11.3137i | 0.00204560 | + | 0.999998i | ||||
\(129\) | −12.2407 | − | 3.80530i | −1.07773 | − | 0.335038i | ||||
\(130\) | −17.7887 | − | 13.5727i | −1.56017 | − | 1.19041i | ||||
\(131\) | −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 | ||||
\(134\) | −1.30280 | + | 2.18197i | −0.112545 | + | 0.188494i | ||||
\(135\) | 10.7492 | + | 4.41084i | 0.925141 | + | 0.379625i | ||||
\(136\) | 11.7148 | − | 7.74762i | 1.00454 | − | 0.664353i | ||||
\(137\) | −9.02585 | + | 6.55766i | −0.771131 | + | 0.560259i | −0.902304 | − | 0.431100i | \(-0.858126\pi\) |
0.131174 | + | 0.991359i | \(0.458126\pi\) | |||||||
\(138\) | 6.91896 | − | 3.06469i | 0.588981 | − | 0.260883i | ||||
\(139\) | −5.92738 | + | 8.15834i | −0.502754 | + | 0.691982i | −0.982676 | − | 0.185329i | \(-0.940665\pi\) |
0.479922 | + | 0.877311i | \(0.340665\pi\) | |||||||
\(140\) | −11.7363 | + | 0.782834i | −0.991900 | + | 0.0661615i | ||||
\(141\) | −16.9506 | + | 0.216242i | −1.42749 | + | 0.0182109i | ||||
\(142\) | −0.894641 | − | 9.90784i | −0.0750766 | − | 0.831448i | ||||
\(143\) | 7.94521i | 0.664412i | ||||||||
\(144\) | 0.858010 | + | 11.9693i | 0.0715009 | + | 0.997441i | ||||
\(145\) | −0.382475 | + | 0.417352i | −0.0317628 | + | 0.0346592i | ||||
\(146\) | −2.45475 | + | 2.14591i | −0.203156 | + | 0.177597i | ||||
\(147\) | 0.136124 | + | 0.0423175i | 0.0112274 | + | 0.00349029i | ||||
\(148\) | −1.56657 | − | 8.60388i | −0.128771 | − | 0.707234i | ||||
\(149\) | − | 1.07076i | − | 0.0877200i | −0.999038 | − | 0.0438600i | \(-0.986034\pi\) | ||
0.999038 | − | 0.0438600i | \(-0.0139656\pi\) | |||||||
\(150\) | −10.7238 | + | 5.91603i | −0.875597 | + | 0.483042i | ||||
\(151\) | − | 8.74944i | − | 0.712019i | −0.934482 | − | 0.356010i | \(-0.884137\pi\) | ||
0.934482 | − | 0.356010i | \(-0.115863\pi\) | |||||||
\(152\) | −11.0160 | − | 16.6568i | −0.893516 | − | 1.35104i | ||||
\(153\) | 11.8246 | − | 9.06082i | 0.955963 | − | 0.732524i | ||||
\(154\) | 2.74892 | + | 3.14454i | 0.221514 | + | 0.253394i | ||||
\(155\) | 10.8683 | − | 2.21057i | 0.872964 | − | 0.177557i | ||||
\(156\) | 2.96586 | − | 24.3309i | 0.237459 | − | 1.94803i | ||||
\(157\) | 2.09182i | 0.166945i | 0.996510 | + | 0.0834727i | \(0.0266011\pi\) | ||||
−0.996510 | + | 0.0834727i | \(0.973399\pi\) | |||||||
\(158\) | −7.94839 | + | 0.717710i | −0.632340 | + | 0.0570979i | ||||
\(159\) | 0.0254049 | + | 1.99141i | 0.00201474 | + | 0.157929i | ||||
\(160\) | −10.3987 | − | 7.20181i | −0.822093 | − | 0.569353i | ||||
\(161\) | −4.77602 | + | 6.57362i | −0.376403 | + | 0.518074i | ||||
\(162\) | 1.78968 | + | 12.6015i | 0.140611 | + | 0.990065i | ||||
\(163\) | 8.04275 | − | 5.84340i | 0.629957 | − | 0.457691i | −0.226428 | − | 0.974028i | \(-0.572705\pi\) |
0.856385 | + | 0.516337i | \(0.172705\pi\) | |||||||
\(164\) | −1.30101 | − | 7.14541i | −0.101592 | − | 0.557963i | ||||
\(165\) | 3.97993 | + | 1.75306i | 0.309837 | + | 0.136475i | ||||
\(166\) | −11.1479 | − | 6.65613i | −0.865244 | − | 0.516616i | ||||
\(167\) | 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 | ||||
\(170\) | −0.368179 | + | 15.6985i | −0.0282380 | + | 1.20402i | ||||
\(171\) | −12.8832 | − | 16.8129i | −0.985202 | − | 1.28571i | ||||
\(172\) | 13.3395 | + | 6.41435i | 1.01713 | + | 0.489090i | ||||
\(173\) | −7.84149 | − | 5.69717i | −0.596177 | − | 0.433148i | 0.248343 | − | 0.968672i | \(-0.420114\pi\) |
−0.844520 | + | 0.535524i | \(0.820114\pi\) | |||||||
\(174\) | −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 | ||||
\(177\) | 2.78721 | − | 0.945095i | 0.209500 | − | 0.0710377i | ||||
\(178\) | 12.8931 | − | 11.2710i | 0.966376 | − | 0.844796i | ||||
\(179\) | −1.49678 | − | 4.60660i | −0.111874 | − | 0.344314i | 0.879408 | − | 0.476069i | \(-0.157939\pi\) |
−0.991282 | + | 0.131755i | \(0.957939\pi\) | |||||||
\(180\) | −11.5335 | − | 6.85411i | −0.859655 | − | 0.510875i | ||||
\(181\) | 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 | ||||
\(183\) | 4.24840 | + | 5.69325i | 0.314050 | + | 0.420857i | ||||
\(184\) | −8.42105 | + | 2.33201i | −0.620808 | + | 0.171918i | ||||
\(185\) | 8.89700 | + | 4.05518i | 0.654120 | + | 0.298143i | ||||
\(186\) | 8.11227 | + | 9.04429i | 0.594820 | + | 0.663159i | ||||
\(187\) | 4.51097 | − | 3.27741i | 0.329875 | − | 0.239668i | ||||
\(188\) | 19.3988 | + | 2.61620i | 1.41480 | + | 0.190806i | ||||
\(189\) | −8.45021 | − | 10.7411i | −0.614663 | − | 0.781302i | ||||
\(190\) | 22.3210 | + | 0.523497i | 1.61933 | + | 0.0379785i | ||||
\(191\) | −15.7612 | + | 11.4511i | −1.14044 | + | 0.828576i | −0.987180 | − | 0.159610i | \(-0.948976\pi\) |
−0.153257 | + | 0.988186i | \(0.548976\pi\) | |||||||
\(192\) | 1.04171 | − | 13.8172i | 0.0751789 | − | 0.997170i | ||||
\(193\) | 3.72982i | 0.268478i | 0.990949 | + | 0.134239i | \(0.0428590\pi\) | ||||
−0.990949 | + | 0.134239i | \(0.957141\pi\) | |||||||
\(194\) | 2.35984 | − | 0.213084i | 0.169426 | − | 0.0152986i | ||||
\(195\) | 20.4379 | + | 18.2558i | 1.46359 | + | 1.30733i | ||||
\(196\) | −0.148344 | − | 0.0713319i | −0.0105960 | − | 0.00509514i | ||||
\(197\) | −1.87126 | − | 5.75914i | −0.133322 | − | 0.410322i | 0.862004 | − | 0.506902i | \(-0.169209\pi\) |
−0.995325 | + | 0.0965806i | \(0.969209\pi\) | |||||||
\(198\) | 0.549328 | + | 4.73222i | 0.0390390 | + | 0.336304i | ||||
\(199\) | 4.07539i | 0.288896i | 0.989512 | + | 0.144448i | \(0.0461407\pi\) | ||||
−0.989512 | + | 0.144448i | \(0.953859\pi\) | |||||||
\(200\) | 13.2489 | − | 4.94634i | 0.936840 | − | 0.349759i | ||||
\(201\) | 1.79719 | − | 2.54117i | 0.126764 | − | 0.179240i | ||||
\(202\) | 0.330568 | − | 1.45027i | 0.0232587 | − | 0.102040i | ||||
\(203\) | 0.633280 | − | 0.205765i | 0.0444476 | − | 0.0144419i | ||||
\(204\) | −15.0375 | + | 8.35263i | −1.05284 | + | 0.584801i | ||||
\(205\) | 7.38884 | + | 3.36777i | 0.516059 | + | 0.235216i | ||||
\(206\) | 0.647410 | + | 7.16985i | 0.0451072 | + | 0.499547i | ||||
\(207\) | −8.73849 | + | 3.08791i | −0.607367 | + | 0.214624i | ||||
\(208\) | −7.49770 | + | 27.2916i | −0.519872 | + | 1.89234i | ||||
\(209\) | −4.66001 | − | 6.41395i | −0.322340 | − | 0.443662i | ||||
\(210\) | 14.4051 | + | 0.154030i | 0.994047 | + | 0.0106290i | ||||
\(211\) | −5.14590 | + | 7.08272i | −0.354258 | + | 0.487594i | −0.948538 | − | 0.316664i | \(-0.897437\pi\) |
0.594280 | + | 0.804258i | \(0.297437\pi\) | |||||||
\(212\) | 0.307360 | − | 2.27904i | 0.0211096 | − | 0.156525i | ||||
\(213\) | 0.155421 | + | 12.1830i | 0.0106493 | + | 0.834763i | ||||
\(214\) | 3.54745 | − | 15.5633i | 0.242498 | − | 1.06389i | ||||
\(215\) | −14.4036 | + | 8.14815i | −0.982320 | + | 0.555699i | ||||
\(216\) | 0.0842649 | − | 14.6967i | 0.00573350 | − | 0.999984i | ||||
\(217\) | −12.4070 | − | 4.03128i | −0.842242 | − | 0.273661i | ||||
\(218\) | 18.9990 | − | 8.12713i | 1.28678 | − | 0.550439i | ||||
\(219\) | 3.20041 | − | 2.38820i | 0.216263 | − | 0.161379i | ||||
\(220\) | −4.25008 | − | 2.67475i | −0.286540 | − | 0.180332i | ||||
\(221\) | 33.4159 | − | 10.8575i | 2.24780 | − | 0.730353i | ||||
\(222\) | 1.09922 | + | 10.6542i | 0.0737750 | + | 0.715066i | ||||
\(223\) | −2.60197 | − | 1.89044i | −0.174241 | − | 0.126593i | 0.497247 | − | 0.867609i | \(-0.334344\pi\) |
−0.671488 | + | 0.741016i | \(0.734344\pi\) | |||||||
\(224\) | 6.47507 | + | 13.3955i | 0.432634 | + | 0.895026i | ||||
\(225\) | 13.6542 | − | 6.20981i | 0.910283 | − | 0.413987i | ||||
\(226\) | 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 | \(0.0800248\pi\) | |||||||
\(228\) | 11.8762 | + | 21.3812i | 0.786523 | + | 1.41600i | ||||
\(229\) | −2.00759 | − | 6.17873i | −0.132665 | − | 0.408302i | 0.862554 | − | 0.505965i | \(-0.168863\pi\) |
−0.995220 | + | 0.0976628i | \(0.968863\pi\) | |||||||
\(230\) | 3.23592 | − | 9.21788i | 0.213370 | − | 0.607809i | ||||
\(231\) | −3.05928 | − | 4.09973i | −0.201286 | − | 0.269742i | ||||
\(232\) | 0.670627 | + | 0.251020i | 0.0440288 | + | 0.0164803i | ||||
\(233\) | −5.04864 | + | 15.5381i | −0.330748 | + | 1.01794i | 0.638031 | + | 0.770010i | \(0.279749\pi\) |
−0.968779 | + | 0.247926i | \(0.920251\pi\) | |||||||
\(234\) | −5.92262 | + | 29.4296i | −0.387174 | + | 1.92388i | ||||
\(235\) | −14.7861 | + | 16.1344i | −0.964537 | + | 1.05249i | ||||
\(236\) | −3.34342 | + | 0.608759i | −0.217638 | + | 0.0396268i | ||||
\(237\) | 9.77356 | − | 0.124684i | 0.634861 | − | 0.00809908i | ||||
\(238\) | 9.46874 | − | 15.8585i | 0.613767 | − | 1.02796i | ||||
\(239\) | 15.0252 | + | 10.9165i | 0.971902 | + | 0.706128i | 0.955884 | − | 0.293744i | \(-0.0949012\pi\) |
0.0160176 | + | 0.999872i | \(0.494901\pi\) | |||||||
\(240\) | 12.0167 | + | 9.77748i | 0.775674 | + | 0.631134i | ||||
\(241\) | −8.82348 | + | 6.41063i | −0.568370 | + | 0.412945i | −0.834513 | − | 0.550988i | \(-0.814251\pi\) |
0.266143 | + | 0.963934i | \(0.414251\pi\) | |||||||
\(242\) | −1.23863 | − | 13.7174i | −0.0796221 | − | 0.881788i | ||||
\(243\) | −0.993601 | − | 15.5568i | −0.0637396 | − | 0.997967i | ||||
\(244\) | −3.89118 | − | 7.22090i | −0.249107 | − | 0.462271i | ||||
\(245\) | 0.160178 | − | 0.0906129i | 0.0102334 | − | 0.00578905i | ||||
\(246\) | 0.912891 | + | 8.84821i | 0.0582038 | + | 0.564141i | ||||
\(247\) | −15.4378 | − | 47.5126i | −0.982282 | − | 3.02315i | ||||
\(248\) | −7.73875 | − | 11.7014i | −0.491411 | − | 0.743039i | ||||
\(249\) | 12.9831 | + | 9.18202i | 0.822768 | + | 0.581887i | ||||
\(250\) | −3.91870 | + | 15.3181i | −0.247841 | + | 0.968801i | ||||
\(251\) | −14.4760 | −0.913715 | −0.456858 | − | 0.889540i | \(-0.651025\pi\) | ||||
−0.456858 | + | 0.889540i | \(0.651025\pi\) | |||||||
\(252\) | 7.83816 | + | 13.6967i | 0.493758 | + | 0.862813i | ||||
\(253\) | −3.29920 | + | 1.07197i | −0.207419 | + | 0.0673944i | ||||
\(254\) | 4.63638 | + | 5.30363i | 0.290912 | + | 0.332779i | ||||
\(255\) | 1.93423 | − | 19.1344i | 0.121126 | − | 1.19824i | ||||
\(256\) | −3.52386 | + | 15.6071i | −0.220241 | + | 0.975445i | ||||
\(257\) | −3.60686 | −0.224989 | −0.112495 | − | 0.993652i | \(-0.535884\pi\) | ||||
−0.112495 | + | 0.993652i | \(0.535884\pi\) | |||||||
\(258\) | −15.6821 | − | 9.09404i | −0.976322 | − | 0.566170i | ||||
\(259\) | −6.75999 | − | 9.30432i | −0.420045 | − | 0.578142i | ||||
\(260\) | −20.2621 | − | 24.3055i | −1.25660 | − | 1.50736i | ||||
\(261\) | 0.728083 | + | 0.216196i | 0.0450672 | + | 0.0133822i | ||||
\(262\) | −8.91284 | + | 14.9275i | −0.550637 | + | 0.922224i | ||||
\(263\) | −0.296395 | − | 0.407953i | −0.0182765 | − | 0.0251555i | 0.799781 | − | 0.600292i | \(-0.204949\pi\) |
−0.818057 | + | 0.575136i | \(0.804949\pi\) | |||||||
\(264\) | 0.171860 | − | 5.49831i | 0.0105772 | − | 0.338398i | ||||
\(265\) | 1.89553 | + | 1.73712i | 0.116441 | + | 0.106710i | ||||
\(266\) | −22.5485 | − | 13.4632i | −1.38254 | − | 0.825481i | ||||
\(267\) | −16.8095 | + | 12.5435i | −1.02872 | + | 0.767651i | ||||
\(268\) | −2.48214 | + | 2.59915i | −0.151621 | + | 0.158768i | ||||
\(269\) | 0.145643 | + | 0.0473224i | 0.00888003 | + | 0.00288530i | 0.313454 | − | 0.949604i | \(-0.398514\pi\) |
−0.304574 | + | 0.952489i | \(0.598514\pi\) | |||||||
\(270\) | 13.4352 | + | 9.46022i | 0.817639 | + | 0.575731i | ||||
\(271\) | 12.7960 | − | 4.15766i | 0.777299 | − | 0.252560i | 0.106612 | − | 0.994301i | \(-0.466000\pi\) |
0.670686 | + | 0.741741i | \(0.266000\pi\) | |||||||
\(272\) | 18.5879 | − | 7.00096i | 1.12706 | − | 0.424496i | ||||
\(273\) | −10.3510 | − | 30.5266i | −0.626473 | − | 1.84755i | ||||
\(274\) | −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 | \(-0.133699\pi\) | |||||||
\(278\) | −10.7370 | + | 9.38620i | −0.643965 | + | 0.562947i | ||||
\(279\) | −9.05045 | − | 11.8111i | −0.541836 | − | 0.707111i | ||||
\(280\) | −16.4286 | − | 2.60919i | −0.981799 | − | 0.155929i | ||||
\(281\) | 0.565777 | + | 0.183832i | 0.0337514 | + | 0.0109665i | 0.325844 | − | 0.945424i | \(-0.394352\pi\) |
−0.292093 | + | 0.956390i | \(0.594352\pi\) | |||||||
\(282\) | −23.4402 | − | 5.02921i | −1.39584 | − | 0.299485i | ||||
\(283\) | −5.89041 | + | 18.1288i | −0.350149 | + | 1.07765i | 0.608620 | + | 0.793461i | \(0.291723\pi\) |
−0.958769 | + | 0.284186i | \(0.908277\pi\) | |||||||
\(284\) | 1.88035 | − | 13.9426i | 0.111578 | − | 0.827340i | ||||
\(285\) | −27.2064 | − | 2.75020i | −1.61157 | − | 0.162908i | ||||
\(286\) | −2.49709 | + | 10.9552i | −0.147656 | + | 0.647797i | ||||
\(287\) | −5.61408 | − | 7.72712i | −0.331389 | − | 0.456117i | ||||
\(288\) | −2.57875 | + | 16.7735i | −0.151954 | + | 0.988388i | ||||
\(289\) | −6.19527 | − | 4.50113i | −0.364428 | − | 0.264772i | ||||
\(290\) | −0.658544 | + | 0.455258i | −0.0386710 | + | 0.0267337i | ||||
\(291\) | −2.90172 | + | 0.0370180i | −0.170102 | + | 0.00217003i | ||||
\(292\) | −4.05916 | + | 2.18739i | −0.237544 | + | 0.128007i | ||||
\(293\) | −7.03851 | −0.411194 | −0.205597 | − | 0.978637i | \(-0.565914\pi\) | ||||
−0.205597 | + | 0.978637i | \(0.565914\pi\) | |||||||
\(294\) | 0.174395 | + | 0.101132i | 0.0101709 | + | 0.00589813i | ||||
\(295\) | 1.57582 | − | 3.45732i | 0.0917477 | − | 0.201293i | ||||
\(296\) | 0.544046 | − | 12.3558i | 0.0316220 | − | 0.718166i | ||||
\(297\) | −0.223237 | − | 5.83041i | −0.0129535 | − | 0.338315i | ||||
\(298\) | 0.336528 | − | 1.47641i | 0.0194946 | − | 0.0855264i | ||||
\(299\) | −21.8593 | −1.26415 | ||||||||
\(300\) | −16.6459 | + | 4.78692i | −0.961050 | + | 0.276373i | ||||
\(301\) | 19.4651 | 1.12195 | ||||||||
\(302\) | 2.74985 | − | 12.0641i | 0.158236 | − | 0.694214i | ||||
\(303\) | −0.540809 | + | 1.73964i | −0.0310686 | + | 0.0999397i | ||||
\(304\) | −9.95436 | − | 26.4293i | −0.570922 | − | 1.51583i | ||||
\(305\) | 9.11178 | + | 1.03866i | 0.521739 | + | 0.0594734i | ||||
\(306\) | 19.1521 | − | 8.77715i | 1.09485 | − | 0.501756i | ||||
\(307\) | 23.4386 | 1.33771 | 0.668854 | − | 0.743393i | \(-0.266785\pi\) | ||||
0.668854 | + | 0.743393i | \(0.266785\pi\) | |||||||
\(308\) | 2.80205 | + | 5.19979i | 0.159662 | + | 0.296286i | ||||
\(309\) | −0.112471 | − | 8.81624i | −0.00639825 | − | 0.501539i | ||||
\(310\) | 15.6805 | + | 0.367757i | 0.890593 | + | 0.0208872i | ||||
\(311\) | 2.01775 | + | 1.46598i | 0.114416 | + | 0.0831280i | 0.643522 | − | 0.765428i | \(-0.277473\pi\) |
−0.529106 | + | 0.848556i | \(0.677473\pi\) | |||||||
\(312\) | 11.7364 | − | 32.6164i | 0.664443 | − | 1.84654i | ||||
\(313\) | −12.8727 | − | 17.7178i | −0.727609 | − | 1.00147i | −0.999237 | − | 0.0390656i | \(-0.987562\pi\) |
0.271627 | − | 0.962402i | \(-0.412438\pi\) | |||||||
\(314\) | −0.657436 | + | 2.88430i | −0.0371013 | + | 0.162771i | ||||
\(315\) | −17.5753 | − | 1.55042i | −0.990258 | − | 0.0873562i | ||||
\(316\) | −11.1852 | − | 1.50848i | −0.629216 | − | 0.0848587i | ||||
\(317\) | −1.52336 | + | 4.68843i | −0.0855606 | + | 0.263328i | −0.984679 | − | 0.174377i | \(-0.944209\pi\) |
0.899118 | + | 0.437706i | \(0.144209\pi\) | |||||||
\(318\) | −0.590849 | + | 2.75384i | −0.0331332 | + | 0.154428i | ||||
\(319\) | 0.270365 | + | 0.0878470i | 0.0151375 | + | 0.00491849i | ||||
\(320\) | −12.0748 | − | 13.1984i | −0.675004 | − | 0.737814i | ||||
\(321\) | −5.80361 | + | 18.6687i | −0.323926 | + | 1.04199i | ||||
\(322\) | −8.65142 | + | 7.56298i | −0.482125 | + | 0.421468i | ||||
\(323\) | −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 | ||||
\(327\) | −23.9681 | + | 8.12715i | −1.32544 | + | 0.449433i | ||||
\(328\) | 0.451823 | − | 10.2613i | 0.0249477 | − | 0.566587i | ||||
\(329\) | 24.4819 | − | 7.95466i | 1.34973 | − | 0.438555i | ||||
\(330\) | 4.93676 | + | 3.66805i | 0.271760 | + | 0.201919i | ||||
\(331\) | −6.52289 | − | 2.11942i | −0.358530 | − | 0.116494i | 0.124213 | − | 0.992256i | \(-0.460360\pi\) |
−0.482743 | + | 0.875762i | \(0.660360\pi\) | |||||||
\(332\) | −13.2793 | − | 12.6815i | −0.728796 | − | 0.695986i | ||||
\(333\) | −0.334645 | − | 13.1137i | −0.0183384 | − | 0.718628i | ||||
\(334\) | 25.4827 | + | 15.2151i | 1.39435 | + | 0.832534i | ||||
\(335\) | −0.800881 | − | 3.93755i | −0.0437568 | − | 0.215131i | ||||
\(336\) | −6.63978 | − | 16.9695i | −0.362229 | − | 0.925760i | ||||
\(337\) | −16.5443 | − | 22.7713i | −0.901225 | − | 1.24043i | −0.970076 | − | 0.242803i | \(-0.921933\pi\) |
0.0688506 | − | 0.997627i | \(-0.478067\pi\) | |||||||
\(338\) | −26.8723 | + | 45.0066i | −1.46166 | + | 2.44804i | ||||
\(339\) | −0.685311 | + | 0.232377i | −0.0372210 | + | 0.0126210i | ||||
\(340\) | −5.44152 | + | 21.5301i | −0.295108 | + | 1.16763i | ||||
\(341\) | −3.27366 | − | 4.50581i | −0.177279 | − | 0.244003i | ||||
\(342\) | −12.4798 | − | 27.2315i | −0.674833 | − | 1.47251i | ||||
\(343\) | −18.6275 | −1.00579 | ||||||||
\(344\) | 16.3772 | + | 13.0369i | 0.882997 | + | 0.702901i | ||||
\(345\) | −4.82310 | + | 10.9498i | −0.259667 | + | 0.589518i | ||||
\(346\) | −9.02166 | − | 10.3200i | −0.485007 | − | 0.554808i | ||||
\(347\) | −34.9390 | + | 11.3524i | −1.87562 | + | 0.609426i | −0.886417 | + | 0.462888i | \(0.846813\pi\) |
−0.989205 | + | 0.146538i | \(0.953187\pi\) | |||||||
\(348\) | −0.795155 | − | 0.369941i | −0.0426248 | − | 0.0198309i | ||||
\(349\) | 2.33175 | 0.124816 | 0.0624078 | − | 0.998051i | \(-0.480122\pi\) | ||||
0.0624078 | + | 0.998051i | \(0.480122\pi\) | |||||||
\(350\) | 12.8834 | − | 13.4128i | 0.688646 | − | 0.716944i | ||||
\(351\) | 10.0153 | − | 35.3761i | 0.534577 | − | 1.88823i | ||||
\(352\) | −1.12506 | + | 6.25157i | −0.0599659 | + | 0.333210i | ||||
\(353\) | 7.50581 | + | 23.1005i | 0.399494 | + | 1.22952i | 0.925406 | + | 0.378977i | \(0.123724\pi\) |
−0.525912 | + | 0.850539i | \(0.676276\pi\) | |||||||
\(354\) | 4.14018 | − | 0.427152i | 0.220048 | − | 0.0227029i | ||||
\(355\) | 11.5964 | + | 10.6273i | 0.615471 | + | 0.564037i | ||||
\(356\) | 21.3199 | − | 11.4888i | 1.12995 | − | 0.608906i | ||||
\(357\) | −13.0620 | + | 18.4692i | −0.691312 | + | 0.977492i | ||||
\(358\) | −0.616021 | − | 6.82222i | −0.0325577 | − | 0.360566i | ||||
\(359\) | 19.4805 | − | 14.1534i | 1.02814 | − | 0.746988i | 0.0602046 | − | 0.998186i | \(-0.480825\pi\) |
0.967936 | + | 0.251198i | \(0.0808247\pi\) | |||||||
\(360\) | −13.7488 | − | 13.0756i | −0.724623 | − | 0.689146i | ||||
\(361\) | 24.9581 | + | 18.1332i | 1.31359 | + | 0.954377i | ||||
\(362\) | 7.28151 | − | 12.1953i | 0.382708 | − | 0.640970i | ||||
\(363\) | 0.215180 | + | 16.8673i | 0.0112940 | + | 0.885303i | ||||
\(364\) | 6.66735 | + | 36.6183i | 0.349464 | + | 1.91932i | ||||
\(365\) | 0.583872 | − | 5.12210i | 0.0305613 | − | 0.268103i | ||||
\(366\) | 4.06857 | + | 9.18535i | 0.212667 | + | 0.480126i | ||||
\(367\) | −7.51175 | + | 23.1188i | −0.392110 | + | 1.20679i | 0.539079 | + | 0.842255i | \(0.318772\pi\) |
−0.931189 | + | 0.364536i | \(0.881228\pi\) | |||||||
\(368\) | −12.3443 | + | 0.568841i | −0.643490 | + | 0.0296529i | ||||
\(369\) | −0.277918 | − | 10.8908i | −0.0144678 | − | 0.566951i | ||||
\(370\) | 10.9931 | + | 8.38771i | 0.571504 | + | 0.436056i | ||||
\(371\) | −0.934542 | − | 2.87622i | −0.0485190 | − | 0.149326i | ||||
\(372\) | 8.34307 | + | 15.0203i | 0.432568 | + | 0.778766i | ||||
\(373\) | −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 | ||||
\(375\) | 6.23376 | − | 18.3341i | 0.321910 | − | 0.946770i | ||||
\(376\) | 25.9257 | + | 9.70417i | 1.33702 | + | 0.500454i | ||||
\(377\) | 1.44923 | + | 1.05292i | 0.0746389 | + | 0.0542284i | ||||
\(378\) | −8.27574 | − | 17.4662i | −0.425658 | − | 0.898364i | ||||
\(379\) | 12.7016 | − | 4.12699i | 0.652435 | − | 0.211989i | 0.0359475 | − | 0.999354i | \(-0.488555\pi\) |
0.616488 | + | 0.787365i | \(0.288555\pi\) | |||||||
\(380\) | 30.6127 | + | 7.73706i | 1.57040 | + | 0.396903i | ||||
\(381\) | −5.15984 | − | 6.91468i | −0.264347 | − | 0.354250i | ||||
\(382\) | −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 | \(0.578404\pi\) | |||||||
\(384\) | 5.77895 | − | 18.7244i | 0.294906 | − | 0.955526i | ||||
\(385\) | −6.56142 | − | 0.747942i | −0.334401 | − | 0.0381186i | ||||
\(386\) | −1.17224 | + | 5.14286i | −0.0596656 | + | 0.261765i | ||||
\(387\) | 18.2891 | + | 12.5877i | 0.929688 | + | 0.639870i | ||||
\(388\) | 3.32083 | + | 0.447860i | 0.168589 | + | 0.0227367i | ||||
\(389\) | −7.01879 | + | 9.66053i | −0.355867 | + | 0.489808i | −0.948991 | − | 0.315302i | \(-0.897894\pi\) |
0.593125 | + | 0.805111i | \(0.297894\pi\) | |||||||
\(390\) | 22.4432 | + | 31.5954i | 1.13646 | + | 1.59990i | ||||
\(391\) | 9.01700 | + | 12.4108i | 0.456009 | + | 0.627643i | ||||
\(392\) | −0.182125 | − | 0.144979i | −0.00919870 | − | 0.00732253i | ||||
\(393\) | 12.2951 | − | 17.3849i | 0.620206 | − | 0.876951i | ||||
\(394\) | −0.770145 | − | 8.52909i | −0.0387993 | − | 0.429689i | ||||
\(395\) | 8.52554 | − | 9.30298i | 0.428966 | − | 0.468084i | ||||
\(396\) | −0.729847 | + | 6.69767i | −0.0366762 | + | 0.336570i | ||||
\(397\) | −0.770649 | + | 0.250399i | −0.0386778 | + | 0.0125672i | −0.328292 | − | 0.944576i | \(-0.606473\pi\) |
0.289614 | + | 0.957143i | \(0.406473\pi\) | |||||||
\(398\) | −1.28085 | + | 5.61934i | −0.0642032 | + | 0.281672i | ||||
\(399\) | 26.2605 | + | 18.5722i | 1.31467 | + | 0.929774i | ||||
\(400\) | 19.8228 | − | 2.65625i | 0.991141 | − | 0.132813i | ||||
\(401\) | 19.9527i | 0.996388i | 0.867065 | + | 0.498194i | \(0.166003\pi\) | ||||
−0.867065 | + | 0.498194i | \(0.833997\pi\) | |||||||
\(402\) | 3.27672 | − | 2.93905i | 0.163428 | − | 0.146586i | ||||
\(403\) | −10.8450 | − | 33.3776i | −0.540230 | − | 1.66266i | ||||
\(404\) | 0.911606 | − | 1.89580i | 0.0453541 | − | 0.0943197i | ||||
\(405\) | −15.5109 | − | 12.8224i | −0.770741 | − | 0.637149i | ||||
\(406\) | 0.937867 | − | 0.0846859i | 0.0465456 | − | 0.00420289i | ||||
\(407\) | − | 4.91000i | − | 0.243380i | ||||||
\(408\) | −23.3596 | + | 6.79088i | −1.15647 | + | 0.336199i | ||||
\(409\) | −17.5507 | + | 12.7514i | −0.867829 | + | 0.630514i | −0.930003 | − | 0.367551i | \(-0.880196\pi\) |
0.0621747 | + | 0.998065i | \(0.480196\pi\) | |||||||
\(410\) | 9.12963 | + | 6.96588i | 0.450880 | + | 0.344020i | ||||
\(411\) | 18.3003 | − | 6.20531i | 0.902687 | − | 0.306085i | ||||
\(412\) | −1.36073 | + | 10.0896i | −0.0670381 | + | 0.497079i | ||||
\(413\) | −3.61560 | + | 2.62689i | −0.177912 | + | 0.129261i | ||||
\(414\) | −13.0195 | + | 1.51134i | −0.639876 | + | 0.0742783i | ||||
\(415\) | 20.1173 | − | 4.09177i | 0.987520 | − | 0.200857i | ||||
\(416\) | −18.9157 | + | 35.2746i | −0.927416 | + | 1.72948i | ||||
\(417\) | 13.9986 | − | 10.4459i | 0.685512 | − | 0.511540i | ||||
\(418\) | −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 | \(0.985263\pi\) | |||||||
\(420\) | 19.8141 | + | 4.73975i | 0.966827 | + | 0.231276i | ||||
\(421\) | −0.913465 | − | 2.81136i | −0.0445195 | − | 0.137017i | 0.926326 | − | 0.376723i | \(-0.122949\pi\) |
−0.970846 | + | 0.239706i | \(0.922949\pi\) | |||||||
\(422\) | −9.32143 | + | 8.14869i | −0.453760 | + | 0.396672i | ||||
\(423\) | 28.1469 | + | 8.35792i | 1.36855 | + | 0.406376i | ||||
\(424\) | 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 | ||||
\(428\) | 9.78278 | − | 20.3446i | 0.472868 | − | 0.983391i | ||||
\(429\) | 4.08524 | − | 13.1411i | 0.197237 | − | 0.634461i | ||||
\(430\) | −22.4213 | + | 6.70815i | −1.08125 | + | 0.323496i | ||||
\(431\) | 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 | \(0.494519\pi\) | |||||||
\(434\) | −15.8404 | − | 9.45790i | −0.760362 | − | 0.453994i | ||||
\(435\) | 0.847196 | − | 0.493630i | 0.0406199 | − | 0.0236677i | ||||
\(436\) | 28.7510 | − | 5.23490i | 1.37692 | − | 0.250706i | ||||
\(437\) | 17.6464 | − | 12.8209i | 0.844142 | − | 0.613305i | ||||
\(438\) | 5.16346 | − | 2.28711i | 0.246720 | − | 0.109282i | ||||
\(439\) | 8.27611 | − | 11.3911i | 0.394997 | − | 0.543667i | −0.564482 | − | 0.825445i | \(-0.690924\pi\) |
0.959480 | + | 0.281778i | \(0.0909242\pi\) | |||||||
\(440\) | −5.01957 | − | 5.02383i | −0.239298 | − | 0.239502i | ||||
\(441\) | −0.203387 | − | 0.139984i | −0.00968511 | − | 0.00666590i | ||||
\(442\) | 49.4878 | − | 4.46856i | 2.35390 | − | 0.212548i | ||||
\(443\) | − | 17.7380i | − | 0.842758i | −0.906885 | − | 0.421379i | \(-0.861546\pi\) | ||
0.906885 | − | 0.421379i | \(-0.138454\pi\) | |||||||
\(444\) | −1.83285 | + | 15.0361i | −0.0869833 | + | 0.713580i | ||||
\(445\) | −3.06667 | + | 26.9028i | −0.145374 | + | 1.27532i | ||||
\(446\) | −2.99358 | − | 3.42441i | −0.141750 | − | 0.162150i | ||||
\(447\) | −0.550559 | + | 1.77101i | −0.0260406 | + | 0.0837657i | ||||
\(448\) | 4.71807 | + | 20.5054i | 0.222908 | + | 0.968790i | ||||
\(449\) | 28.2843i | 1.33482i | 0.744691 | + | 0.667410i | \(0.232597\pi\) | ||||
−0.744691 | + | 0.667410i | \(0.767403\pi\) | |||||||
\(450\) | 20.7788 | − | 4.27100i | 0.979522 | − | 0.201337i | ||||
\(451\) | − | 4.07769i | − | 0.192011i | ||||||
\(452\) | 0.822068 | − | 0.149680i | 0.0386668 | − | 0.00704034i | ||||
\(453\) | −4.49876 | + | 14.4713i | −0.211370 | + | 0.679922i | ||||
\(454\) | 11.8084 | − | 10.3228i | 0.554198 | − | 0.484473i | ||||
\(455\) | −37.8658 | − | 17.2589i | −1.77518 | − | 0.809112i | ||||
\(456\) | 9.65565 | + | 33.2140i | 0.452167 | + | 1.55539i | ||||
\(457\) | 5.94526i | 0.278107i | 0.990285 | + | 0.139054i | \(0.0444061\pi\) | ||||
−0.990285 | + | 0.139054i | \(0.955594\pi\) | |||||||
\(458\) | −0.826255 | − | 9.15049i | −0.0386084 | − | 0.427574i | ||||
\(459\) | −24.2164 | + | 8.90641i | −1.13033 | + | 0.415715i | ||||
\(460\) | 7.35892 | − | 11.6930i | 0.343111 | − | 0.545191i | ||||
\(461\) | −17.8555 | + | 24.5760i | −0.831615 | + | 1.14462i | 0.156005 | + | 0.987756i | \(0.450138\pi\) |
−0.987620 | + | 0.156863i | \(0.949862\pi\) | |||||||
\(462\) | −2.92979 | − | 6.61440i | −0.136306 | − | 0.307730i | ||||
\(463\) | 9.77952 | − | 7.10524i | 0.454493 | − | 0.330209i | −0.336874 | − | 0.941550i | \(-0.609370\pi\) |
0.791367 | + | 0.611341i | \(0.209370\pi\) | |||||||
\(464\) | 0.845800 | + | 0.556890i | 0.0392653 | + | 0.0258530i | ||||
\(465\) | −19.1125 | − | 1.93202i | −0.886321 | − | 0.0895951i | ||||
\(466\) | −11.8448 | + | 19.8380i | −0.548699 | + | 0.918977i | ||||
\(467\) | 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 | ||||
\(470\) | −25.4586 | + | 17.5998i | −1.17432 | + | 0.811818i | ||||
\(471\) | 1.07556 | − | 3.45981i | 0.0495594 | − | 0.159420i | ||||
\(472\) | −4.80139 | − | 0.211413i | −0.221002 | − | 0.00973107i | ||||
\(473\) | 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 | ||||
\(477\) | 0.981918 | − | 3.30680i | 0.0449589 | − | 0.151408i | ||||
\(478\) | 17.2866 | + | 19.7744i | 0.790670 | + | 0.904461i | ||||
\(479\) | 11.0543 | + | 34.0217i | 0.505084 | + | 1.55449i | 0.800629 | + | 0.599160i | \(0.204499\pi\) |
−0.295545 | + | 0.955329i | \(0.595501\pi\) | |||||||
\(480\) | 13.4962 | + | 17.2584i | 0.616016 | + | 0.787734i | ||||
\(481\) | 9.56089 | − | 29.4254i | 0.435939 | − | 1.34168i | ||||
\(482\) | −14.1810 | + | 6.06617i | −0.645928 | + | 0.276306i | ||||
\(483\) | 11.2794 | − | 8.41687i | 0.513230 | − | 0.382981i | ||||
\(484\) | 2.60335 | − | 19.3035i | 0.118334 | − | 0.877432i | ||||
\(485\) | −2.53119 | + | 2.76201i | −0.114935 | + | 0.125416i | ||||
\(486\) | 3.51930 | − | 21.7627i | 0.159639 | − | 0.987176i | ||||
\(487\) | −33.7319 | + | 24.5077i | −1.52854 | + | 1.11055i | −0.571495 | + | 0.820606i | \(0.693636\pi\) |
−0.957044 | + | 0.289943i | \(0.906364\pi\) | |||||||
\(488\) | −3.09589 | − | 11.1795i | −0.140144 | − | 0.506071i | ||||
\(489\) | −16.3070 | + | 5.52943i | −0.737429 | + | 0.250049i | ||||
\(490\) | 0.249340 | − | 0.0745992i | 0.0112640 | − | 0.00337005i | ||||
\(491\) | 26.9448 | − | 19.5765i | 1.21600 | − | 0.883476i | 0.220239 | − | 0.975446i | \(-0.429316\pi\) |
0.995762 | + | 0.0919695i | \(0.0293162\pi\) | |||||||
\(492\) | −1.52216 | + | 12.4873i | −0.0686243 | + | 0.562969i | ||||
\(493\) | − | 1.25715i | − | 0.0566190i | ||||||
\(494\) | −6.35365 | − | 70.3645i | −0.285864 | − | 3.16585i | ||||
\(495\) | −5.68132 | − | 4.94589i | −0.255356 | − | 0.222301i | ||||
\(496\) | −6.99295 | − | 18.5666i | −0.313993 | − | 0.833667i | ||||
\(497\) | −5.71730 | − | 17.5960i | −0.256456 | − | 0.789290i | ||||
\(498\) | 15.0159 | + | 16.7410i | 0.672877 | + | 0.750184i | ||||
\(499\) | − | 2.95347i | − | 0.132215i | −0.997812 | − | 0.0661077i | \(-0.978942\pi\) | ||
0.997812 | − | 0.0661077i | \(-0.0210581\pi\) | |||||||
\(500\) | −10.2176 | + | 19.8897i | −0.456945 | + | 0.889495i | ||||
\(501\) | −29.6777 | − | 20.9890i | −1.32590 | − | 0.937718i | ||||
\(502\) | −19.9602 | − | 4.54964i | −0.890866 | − | 0.203060i | ||||
\(503\) | 40.1948 | − | 13.0601i | 1.79220 | − | 0.582320i | 0.792573 | − | 0.609777i | \(-0.208741\pi\) |
0.999623 | + | 0.0274568i | \(0.00874085\pi\) | |||||||
\(504\) | 6.50290 | + | 21.3492i | 0.289662 | + | 0.950967i | ||||
\(505\) | 1.15801 | + | 2.04704i | 0.0515309 | + | 0.0910921i | ||||
\(506\) | −4.88600 | + | 0.441187i | −0.217209 | + | 0.0196132i | ||||
\(507\) | 37.0699 | − | 52.4156i | 1.64633 | − | 2.32786i | ||||
\(508\) | 4.72598 | + | 8.77006i | 0.209682 | + | 0.389109i | ||||
\(509\) | 20.6474 | + | 28.4187i | 0.915179 | + | 1.25964i | 0.965367 | + | 0.260897i | \(0.0840182\pi\) |
−0.0501873 | + | 0.998740i | \(0.515982\pi\) | |||||||
\(510\) | 8.68075 | − | 25.7755i | 0.384390 | − | 1.14136i | ||||
\(511\) | −3.56423 | + | 4.90574i | −0.157672 | + | 0.217017i | ||||
\(512\) | −9.76402 | + | 20.4123i | −0.431513 | + | 0.902107i | ||||
\(513\) | 12.6636 | + | 34.4323i | 0.559113 | + | 1.52022i | ||||
\(514\) | −4.97331 | − | 1.13360i | −0.219363 | − | 0.0500008i | ||||
\(515\) | −8.39175 | − | 7.69046i | −0.369785 | − | 0.338882i | ||||
\(516\) | −18.7650 | − | 17.4680i | −0.826083 | − | 0.768986i | ||||
\(517\) | 10.4520 | + | 3.39607i | 0.459680 | + | 0.149359i | ||||
\(518\) | −6.39675 | − | 14.9538i | −0.281057 | − | 0.657034i | ||||
\(519\) | 10.0402 | + | 13.4549i | 0.440718 | + | 0.590603i | ||||
\(520\) | −20.2995 | − | 39.8818i | −0.890190 | − | 1.74893i | ||||
\(521\) | 23.1218 | − | 7.51272i | 1.01298 | − | 0.329138i | 0.244942 | − | 0.969538i | \(-0.421231\pi\) |
0.768042 | + | 0.640400i | \(0.221231\pi\) | |||||||
\(522\) | 0.935968 | + | 0.526931i | 0.0409662 | + | 0.0230631i | ||||
\(523\) | −17.9226 | − | 13.0215i | −0.783700 | − | 0.569391i | 0.122387 | − | 0.992482i | \(-0.460945\pi\) |
−0.906087 | + | 0.423091i | \(0.860945\pi\) | |||||||
\(524\) | −16.9810 | + | 17.7815i | −0.741819 | + | 0.776790i | ||||
\(525\) | −17.0002 | + | 15.1598i | −0.741951 | + | 0.661627i | ||||
\(526\) | −0.280469 | − | 0.655659i | −0.0122290 | − | 0.0285881i | ||||
\(527\) | −14.4769 | + | 19.9257i | −0.630623 | + | 0.867978i | ||||
\(528\) | 1.96503 | − | 7.52732i | 0.0855168 | − | 0.327585i | ||||
\(529\) | 4.15812 | + | 12.7974i | 0.180788 | + | 0.556408i | ||||
\(530\) | 2.06768 | + | 2.99097i | 0.0898145 | + | 0.129919i | ||||
\(531\) | −5.09592 | + | 0.130041i | −0.221144 | + | 0.00564330i | ||||
\(532\) | −26.8597 | − | 25.6505i | −1.16451 | − | 1.11209i | ||||
\(533\) | 7.94020 | − | 24.4374i | 0.343928 | − | 1.05850i | ||||
\(534\) | −27.1200 | + | 12.0126i | −1.17360 | + | 0.519835i | ||||
\(535\) | 12.4271 | + | 21.9675i | 0.537269 | + | 0.949740i | ||||
\(536\) | −4.23937 | + | 2.80372i | −0.183113 | + | 0.121102i | ||||
\(537\) | 0.107018 | + | 8.38880i | 0.00461817 | + | 0.362003i | ||||
\(538\) | 0.185947 | + | 0.111024i | 0.00801675 | + | 0.00478661i | ||||
\(539\) | −0.0747655 | − | 0.0543203i | −0.00322038 | − | 0.00233974i | ||||
\(540\) | 15.5518 | + | 17.2667i | 0.669244 | + | 0.743042i | ||||
\(541\) | 18.3219 | − | 13.3117i | 0.787721 | − | 0.572313i | −0.119565 | − | 0.992826i | \(-0.538150\pi\) |
0.907286 | + | 0.420514i | \(0.138150\pi\) | |||||||
\(542\) | 18.9504 | − | 1.71115i | 0.813988 | − | 0.0735001i | ||||
\(543\) | −10.0447 | + | 14.2029i | −0.431060 | + | 0.609504i | ||||
\(544\) | 27.8303 | − | 3.81128i | 1.19321 | − | 0.163407i | ||||
\(545\) | −13.5509 | + | 29.7305i | −0.580458 | + | 1.27352i | ||||
\(546\) | −4.67832 | − | 45.3447i | −0.200214 | − | 1.94058i | ||||
\(547\) | 8.57610 | + | 26.3945i | 0.366688 | + | 1.12855i | 0.948917 | + | 0.315524i | \(0.102180\pi\) |
−0.582230 | + | 0.813024i | \(0.697820\pi\) | |||||||
\(548\) | −21.9522 | + | 3.99699i | −0.937752 | + | 0.170743i | ||||
\(549\) | −4.09939 | − | 11.6009i | −0.174958 | − | 0.495114i | ||||
\(550\) | 7.81566 | − | 1.39969i | 0.333261 | − | 0.0596830i | ||||
\(551\) | −1.78748 | −0.0761492 | ||||||||
\(552\) | 15.1272 | + | 0.472830i | 0.643858 | + | 0.0201250i | ||||
\(553\) | −14.1161 | + | 4.58660i | −0.600278 | + | 0.195042i | ||||
\(554\) | 30.7135 | − | 26.8494i | 1.30489 | − | 1.14072i | ||||
\(555\) | −12.6303 | − | 11.2818i | −0.536126 | − | 0.478885i | ||||
\(556\) | −17.7547 | + | 9.56761i | −0.752968 | + | 0.405757i | ||||
\(557\) | 19.3275 | 0.818933 | 0.409467 | − | 0.912325i | \(-0.365715\pi\) | ||||
0.409467 | + | 0.912325i | \(0.365715\pi\) | |||||||
\(558\) | −8.76710 | − | 19.1301i | −0.371141 | − | 0.809843i | ||||
\(559\) | 30.7798 | + | 42.3647i | 1.30185 | + | 1.79184i | ||||
\(560\) | −21.8326 | − | 8.76102i | −0.922594 | − | 0.370221i | ||||
\(561\) | −9.14619 | + | 3.10131i | −0.386152 | + | 0.130938i | ||||
\(562\) | 0.722344 | + | 0.431294i | 0.0304703 | + | 0.0181930i | ||||
\(563\) | −7.76254 | − | 10.6842i | −0.327152 | − | 0.450286i | 0.613482 | − | 0.789709i | \(-0.289768\pi\) |
−0.940634 | + | 0.339423i | \(0.889768\pi\) | |||||||
\(564\) | −30.7399 | − | 14.3015i | −1.29438 | − | 0.602203i | ||||
\(565\) | −0.387457 | + | 0.850075i | −0.0163004 | + | 0.0357629i | ||||
\(566\) | −13.8197 | + | 23.1456i | −0.580885 | + | 0.972883i | ||||
\(567\) | 8.45358 | + | 22.1104i | 0.355017 | + | 0.928550i | ||||
\(568\) | 6.97473 | − | 18.6337i | 0.292653 | − | 0.781854i | ||||
\(569\) | −27.7963 | − | 9.03155i | −1.16528 | − | 0.378622i | −0.338401 | − | 0.941002i | \(-0.609886\pi\) |
−0.826879 | + | 0.562380i | \(0.809886\pi\) | |||||||
\(570\) | −36.6491 | − | 12.3428i | −1.53506 | − | 0.516982i | ||||
\(571\) | 6.44362 | − | 2.09366i | 0.269657 | − | 0.0876169i | −0.171067 | − | 0.985259i | \(-0.554722\pi\) |
0.440724 | + | 0.897642i | \(0.354722\pi\) | |||||||
\(572\) | −6.88622 | + | 14.3208i | −0.287927 | + | 0.598783i | ||||
\(573\) | 31.9564 | − | 10.8359i | 1.33500 | − | 0.452675i | ||||
\(574\) | −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 | \(0.362056\pi\) | |||||||
\(578\) | −7.12768 | − | 8.15348i | −0.296472 | − | 0.339140i | ||||
\(579\) | 1.91779 | − | 6.16902i | 0.0797005 | − | 0.256376i | ||||
\(580\) | −1.05112 | + | 0.420758i | −0.0436452 | + | 0.0174710i | ||||
\(581\) | −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 | ||||
\(584\) | −6.28444 | + | 1.74033i | −0.260052 | + | 0.0720152i | ||||
\(585\) | −24.4171 | − | 40.7033i | −1.00952 | − | 1.68287i | ||||
\(586\) | −9.70503 | − | 2.21213i | −0.400911 | − | 0.0913821i | ||||
\(587\) | 13.5473 | + | 18.6462i | 0.559156 | + | 0.769612i | 0.991219 | − | 0.132231i | \(-0.0422142\pi\) |
−0.432063 | + | 0.901843i | \(0.642214\pi\) | |||||||
\(588\) | 0.208680 | + | 0.194256i | 0.00860580 | + | 0.00801098i | ||||
\(589\) | 28.3315 | + | 20.5840i | 1.16738 | + | 0.848151i | ||||
\(590\) | 3.25941 | − | 4.27186i | 0.134188 | − | 0.175870i | ||||
\(591\) | 0.133793 | + | 10.4876i | 0.00550351 | + | 0.431402i | ||||
\(592\) | 4.63345 | − | 16.8658i | 0.190434 | − | 0.693179i | ||||
\(593\) | 35.4686 | 1.45652 | 0.728261 | − | 0.685300i | \(-0.240329\pi\) | ||||
0.728261 | + | 0.685300i | \(0.240329\pi\) | |||||||
\(594\) | 1.52463 | − | 8.10942i | 0.0625562 | − | 0.332733i | ||||
\(595\) | 5.82079 | + | 28.6181i | 0.238629 | + | 1.17323i | ||||
\(596\) | 0.928042 | − | 1.92998i | 0.0380141 | − | 0.0790552i | ||||
\(597\) | 2.09547 | − | 6.74057i | 0.0857618 | − | 0.275873i | ||||
\(598\) | −30.1406 | − | 6.87014i | −1.23254 | − | 0.280941i | ||||
\(599\) | −15.4349 | −0.630652 | −0.315326 | − | 0.948983i | \(-0.602114\pi\) | ||||
−0.315326 | + | 0.948983i | \(0.602114\pi\) | |||||||
\(600\) | −24.4566 | + | 1.36882i | −0.998437 | + | 0.0558817i | ||||
\(601\) | 15.2326 | 0.621350 | 0.310675 | − | 0.950516i | \(-0.399445\pi\) | ||||
0.310675 | + | 0.950516i | \(0.399445\pi\) | |||||||
\(602\) | 26.8395 | + | 6.11769i | 1.09390 | + | 0.249338i | ||||
\(603\) | −4.27911 | + | 3.27895i | −0.174259 | + | 0.133529i | ||||
\(604\) | 7.58326 | − | 15.7704i | 0.308559 | − | 0.641688i | ||||
\(605\) | 16.0551 | + | 14.7134i | 0.652735 | + | 0.598186i | ||||
\(606\) | −1.29244 | + | 2.22873i | −0.0525019 | + | 0.0905360i | ||||
\(607\) | 34.7595 | 1.41085 | 0.705423 | − | 0.708787i | \(-0.250757\pi\) | ||||
0.705423 | + | 0.708787i | \(0.250757\pi\) | |||||||
\(608\) | −5.41909 | − | 39.5706i | −0.219773 | − | 1.60480i | ||||
\(609\) | −1.15323 | + | 0.0147120i | −0.0467311 | + | 0.000596161i | ||||
\(610\) | 12.2373 | + | 4.29589i | 0.495475 | + | 0.173935i | ||||
\(611\) | 56.0255 | + | 40.7049i | 2.26655 | + | 1.64675i | ||||
\(612\) | 29.1664 | − | 6.08307i | 1.17898 | − | 0.245894i | ||||
\(613\) | −13.5100 | − | 18.5950i | −0.545665 | − | 0.751043i | 0.443751 | − | 0.896150i | \(-0.353647\pi\) |
−0.989416 | + | 0.145107i | \(0.953647\pi\) | |||||||
\(614\) | 32.3182 | + | 7.36648i | 1.30426 | + | 0.297287i | ||||
\(615\) | −10.4893 | − | 9.36937i | −0.422969 | − | 0.377810i | ||||
\(616\) | 2.22936 | + | 8.05038i | 0.0898235 | + | 0.324359i | ||||
\(617\) | −4.54521 | + | 13.9887i | −0.182983 | + | 0.563164i | −0.999908 | − | 0.0135801i | \(-0.995677\pi\) |
0.816925 | + | 0.576745i | \(0.195677\pi\) | |||||||
\(618\) | 2.61577 | − | 12.1916i | 0.105222 | − | 0.490419i | ||||
\(619\) | −31.5383 | − | 10.2474i | −1.26763 | − | 0.411879i | −0.403424 | − | 0.915013i | \(-0.632180\pi\) |
−0.864208 | + | 0.503134i | \(0.832180\pi\) | |||||||
\(620\) | 21.5055 | + | 5.43529i | 0.863680 | + | 0.218287i | ||||
\(621\) | 16.0409 | − | 0.614182i | 0.643701 | − | 0.0246463i | ||||
\(622\) | 2.32143 | + | 2.65552i | 0.0930807 | + | 0.106477i | ||||
\(623\) | 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 | ||||
\(627\) | 4.40962 | + | 13.0046i | 0.176103 | + | 0.519352i | ||||
\(628\) | −1.81301 | + | 3.77039i | −0.0723469 | + | 0.150455i | ||||
\(629\) | −20.6504 | + | 6.70974i | −0.823387 | + | 0.267535i | ||||
\(630\) | −23.7464 | − | 7.66153i | −0.946081 | − | 0.305243i | ||||
\(631\) | −20.3437 | − | 6.61008i | −0.809871 | − | 0.263143i | −0.125328 | − | 0.992115i | \(-0.539998\pi\) |
−0.684543 | + | 0.728972i | \(0.739998\pi\) | |||||||
\(632\) | −14.9486 | − | 5.59535i | −0.594623 | − | 0.222571i | ||||
\(633\) | 12.1529 | − | 9.06872i | 0.483036 | − | 0.360449i | ||||
\(634\) | −3.57401 | + | 5.98586i | −0.141942 | + | 0.237729i | ||||
\(635\) | −11.0666 | − | 1.26149i | −0.439165 | − | 0.0500608i | ||||
\(636\) | −1.68019 | + | 3.61143i | −0.0666240 | + | 0.143202i | ||||
\(637\) | −0.342292 | − | 0.471124i | −0.0135621 | − | 0.0186666i | ||||
\(638\) | 0.345183 | + | 0.206100i | 0.0136659 | + | 0.00815960i | ||||
\(639\) | 6.00713 | − | 20.2302i | 0.237638 | − | 0.800294i | ||||
\(640\) | −12.5013 | − | 21.9936i | −0.494156 | − | 0.869373i | ||||
\(641\) | −20.8420 | − | 28.6865i | −0.823208 | − | 1.13305i | −0.989149 | − | 0.146913i | \(-0.953066\pi\) |
0.165942 | − | 0.986136i | \(-0.446934\pi\) | |||||||
\(642\) | −13.8697 | + | 23.9173i | −0.547393 | + | 0.943941i | ||||
\(643\) | −1.63973 | −0.0646648 | −0.0323324 | − | 0.999477i | \(-0.510294\pi\) | ||||
−0.0323324 | + | 0.999477i | \(0.510294\pi\) | |||||||
\(644\) | −14.3060 | + | 7.70915i | −0.563734 | + | 0.303783i | ||||
\(645\) | 28.0128 | − | 6.07080i | 1.10300 | − | 0.239037i | ||||
\(646\) | −37.3293 | + | 32.6329i | −1.46870 | + | 1.28392i | ||||
\(647\) | −41.1106 | + | 13.3577i | −1.61623 | + | 0.525144i | −0.971047 | − | 0.238888i | \(-0.923217\pi\) |
−0.645178 | + | 0.764032i | \(0.723217\pi\) | |||||||
\(648\) | −7.69607 | + | 24.2646i | −0.302330 | + | 0.953203i | ||||
\(649\) | −1.90800 | −0.0748955 | ||||||||
\(650\) | 49.5643 | + | 6.83058i | 1.94407 | + | 0.267917i | ||||
\(651\) | 18.4480 | + | 13.0470i | 0.723035 | + | 0.511352i | ||||
\(652\) | 19.5612 | − | 3.56164i | 0.766075 | − | 0.139485i | ||||
\(653\) | −4.92751 | − | 15.1653i | −0.192828 | − | 0.593464i | −0.999995 | − | 0.00314086i | \(-0.999000\pi\) |
0.807167 | − | 0.590323i | \(-0.201000\pi\) | |||||||
\(654\) | −35.6026 | + | 3.67320i | −1.39217 | + | 0.143634i | ||||
\(655\) | −5.47906 | − | 26.9379i | −0.214084 | − | 1.05255i | ||||
\(656\) | 3.84802 | − | 14.0068i | 0.150240 | − | 0.546874i | ||||
\(657\) | −6.52134 | + | 2.30443i | −0.254422 | + | 0.0899045i | ||||
\(658\) | 36.2569 | − | 3.27386i | 1.41344 | − | 0.127629i | ||||
\(659\) | −1.82519 | + | 1.32608i | −0.0710992 | + | 0.0516566i | −0.622767 | − | 0.782407i | \(-0.713992\pi\) |
0.551668 | + | 0.834064i | \(0.313992\pi\) | |||||||
\(660\) | 5.65421 | + | 6.60925i | 0.220090 | + | 0.257265i | ||||
\(661\) | −33.6669 | − | 24.4604i | −1.30949 | − | 0.951400i | −1.00000 | 0.000496742i | \(-0.999842\pi\) | |
−0.309489 | − | 0.950903i | \(-0.600158\pi\) | |||||||
\(662\) | −8.32797 | − | 4.97243i | −0.323676 | − | 0.193259i | ||||
\(663\) | −60.8516 | + | 0.776299i | −2.36328 | + | 0.0301490i | ||||
\(664\) | −14.3245 | − | 21.6593i | −0.555898 | − | 0.840546i | ||||
\(665\) | 40.6908 | − | 8.27632i | 1.57792 | − | 0.320942i | ||||
\(666\) | 3.66008 | − | 18.1870i | 0.141825 | − | 0.704732i | ||||
\(667\) | −0.241689 | + | 0.743843i | −0.00935825 | + | 0.0288017i | ||||
\(668\) | 30.3549 | + | 28.9883i | 1.17446 | + | 1.12159i | ||||
\(669\) | 3.33157 | + | 4.46461i | 0.128806 | + | 0.172612i | ||||
\(670\) | 0.133237 | − | 5.68099i | 0.00514740 | − | 0.219476i | ||||
\(671\) | −1.42311 | − | 4.37989i | −0.0549387 | − | 0.169084i | ||||
\(672\) | −3.82192 | − | 25.4851i | −0.147434 | − | 0.983110i | ||||
\(673\) | −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 | ||||
\(675\) | −25.7767 | + | 3.25016i | −0.992144 | + | 0.125099i | ||||
\(676\) | −51.1980 | + | 53.6116i | −1.96915 | + | 2.06198i | ||||
\(677\) | −35.8387 | − | 26.0384i | −1.37739 | − | 1.00074i | −0.997118 | − | 0.0758625i | \(-0.975829\pi\) |
−0.380276 | − | 0.924873i | \(-0.624171\pi\) | |||||||
\(678\) | −1.01797 | + | 0.105027i | −0.0390950 | + | 0.00403352i | ||||
\(679\) | 4.19100 | − | 1.36174i | 0.160836 | − | 0.0522587i | ||||
\(680\) | −14.2697 | + | 27.9765i | −0.547219 | + | 1.07285i | ||||
\(681\) | −15.3954 | + | 11.4883i | −0.589953 | + | 0.440233i | ||||
\(682\) | −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 | \(0.860013\pi\) | |||||||
\(684\) | −8.64925 | − | 41.4703i | −0.330712 | − | 1.58566i | ||||
\(685\) | 10.3465 | − | 22.7001i | 0.395320 | − | 0.867326i | ||||
\(686\) | −25.6845 | − | 5.85443i | −0.980640 | − | 0.223523i | ||||
\(687\) | 0.143541 | + | 11.2517i | 0.00547642 | + | 0.429279i | ||||
\(688\) | 18.4843 | + | 23.1230i | 0.704706 | + | 0.881557i | ||||
\(689\) | 4.78216 | − | 6.58207i | 0.182186 | − | 0.250757i | ||||
\(690\) | −10.0917 | + | 13.5823i | −0.384186 | + | 0.517068i | ||||
\(691\) | 20.6338 | + | 28.4000i | 0.784948 | + | 1.08039i | 0.994719 | + | 0.102637i | \(0.0327281\pi\) |
−0.209771 | + | 0.977751i | \(0.567272\pi\) | |||||||
\(692\) | −9.19602 | − | 17.0652i | −0.349580 | − | 0.648720i | ||||
\(693\) | 2.95199 | + | 8.35385i | 0.112137 | + | 0.317336i | ||||
\(694\) | −51.7434 | + | 4.67224i | −1.96415 | + | 0.177356i | ||||
\(695\) | 2.55385 | − | 22.4040i | 0.0968731 | − | 0.849833i | ||||
\(696\) | −0.980130 | − | 0.760001i | −0.0371517 | − | 0.0288078i | ||||
\(697\) | −17.1499 | + | 5.57235i | −0.649600 | + | 0.211068i | ||||
\(698\) | 3.21513 | + | 0.732844i | 0.121694 | + | 0.0277385i | ||||
\(699\) | 16.3397 | − | 23.1037i | 0.618023 | − | 0.873863i | ||||
\(700\) | 21.9797 | − | 14.4451i | 0.830756 | − | 0.545974i | ||||
\(701\) | 24.1415i | 0.911812i | 0.890028 | + | 0.455906i | \(0.150685\pi\) | ||||
−0.890028 | + | 0.455906i | \(0.849315\pi\) | |||||||
\(702\) | 24.9279 | − | 45.6305i | 0.940842 | − | 1.72221i | ||||
\(703\) | 9.54028 | + | 29.3620i | 0.359818 | + | 1.10741i | ||||
\(704\) | −3.51609 | + | 8.26637i | −0.132518 | + | 0.311551i | ||||
\(705\) | 32.7517 | − | 19.0832i | 1.23350 | − | 0.718715i | ||||
\(706\) | 3.08913 | + | 34.2111i | 0.116261 | + | 1.28755i | ||||
\(707\) | − | 2.76638i | − | 0.104041i | ||||||
\(708\) | 5.84292 | + | 0.712235i | 0.219591 | + | 0.0267674i | ||||
\(709\) | −12.4837 | + | 9.06991i | −0.468834 | + | 0.340628i | −0.796987 | − | 0.603997i | \(-0.793574\pi\) |
0.328153 | + | 0.944625i | \(0.393574\pi\) | |||||||
\(710\) | 12.6496 | + | 18.2980i | 0.474730 | + | 0.686712i | ||||
\(711\) | −16.2293 | − | 4.81911i | −0.608647 | − | 0.180731i | ||||
\(712\) | 33.0078 | − | 9.14071i | 1.23702 | − | 0.342563i | ||||
\(713\) | 12.3966 | − | 9.00667i | 0.464257 | − | 0.337303i | ||||
\(714\) | −23.8151 | + | 21.3610i | −0.891258 | + | 0.799414i | ||||
\(715\) | −8.74757 | − | 15.4632i | −0.327140 | − | 0.578292i | ||||
\(716\) | 1.29475 | − | 9.60042i | 0.0483871 | − | 0.358785i | ||||
\(717\) | −19.2383 | − | 25.7812i | −0.718468 | − | 0.962815i | ||||
\(718\) | 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 | \(0.0901642\pi\) | |||||||
\(720\) | −14.8479 | − | 22.3504i | −0.553349 | − | 0.832949i | ||||
\(721\) | 4.13734 | + | 12.7334i | 0.154083 | + | 0.474218i | ||||
\(722\) | 28.7144 | + | 32.8469i | 1.06864 | + | 1.22244i | ||||
\(723\) | 17.8900 | − | 6.06618i | 0.665336 | − | 0.225604i | ||||
\(724\) | 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 | 0.746800 | − | 0.665048i | \(-0.231589\pi\) |
−0.401725 | + | 0.915760i | \(0.631589\pi\) | |||||||
\(728\) | −2.31547 | + | 52.5866i | −0.0858171 | + | 1.94899i | ||||
\(729\) | −6.35553 | + | 26.2413i | −0.235390 | + | 0.971901i | ||||
\(730\) | 2.41489 | − | 6.87909i | 0.0893791 | − | 0.254607i | ||||
\(731\) | 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 | \(0.526071\pi\) | |||||||
\(734\) | −17.6235 | + | 29.5164i | −0.650497 | + | 1.08947i | ||||
\(735\) | −0.311521 | + | 0.0675113i | −0.0114906 | + | 0.00249019i | ||||
\(736\) | −17.1997 | − | 3.09533i | −0.633988 | − | 0.114095i | ||||
\(737\) | −1.63244 | + | 1.18604i | −0.0601317 | + | 0.0436882i | ||||
\(738\) | 3.03965 | − | 15.1041i | 0.111891 | − | 0.555989i | ||||
\(739\) | 3.08442 | − | 4.24534i | 0.113462 | − | 0.156167i | −0.748509 | − | 0.663125i | \(-0.769230\pi\) |
0.861971 | + | 0.506957i | \(0.169230\pi\) | |||||||
\(740\) | 12.5217 | + | 15.0204i | 0.460305 | + | 0.552160i | ||||
\(741\) | 1.10379 | + | 86.5222i | 0.0405486 | + | 3.17847i | ||||
\(742\) | −0.384625 | − | 4.25959i | −0.0141200 | − | 0.156375i | ||||
\(743\) | − | 19.7148i | − | 0.723266i | −0.932320 | − | 0.361633i | \(-0.882219\pi\) | ||
0.932320 | − | 0.361633i | \(-0.117781\pi\) | |||||||
\(744\) | 6.78310 | + | 23.3329i | 0.248681 | + | 0.855424i | ||||
\(745\) | 1.17889 | + | 2.08395i | 0.0431913 | + | 0.0763500i | ||||
\(746\) | −23.2075 | + | 20.2877i | −0.849685 | + | 0.742786i | ||||
\(747\) | −16.7524 | − | 21.8624i | −0.612940 | − | 0.799903i | ||||
\(748\) | 10.9714 | − | 1.99763i | 0.401153 | − | 0.0730407i | ||||
\(749\) | − | 29.6871i | − | 1.08474i | ||||||
\(750\) | 14.3576 | − | 23.3208i | 0.524266 | − | 0.851554i | ||||
\(751\) | − | 43.6176i | − | 1.59163i | −0.605540 | − | 0.795815i | \(-0.707043\pi\) | ||
0.605540 | − | 0.795815i | \(-0.292957\pi\) | |||||||
\(752\) | 32.6977 | + | 21.5288i | 1.19236 | + | 0.785073i | ||||
\(753\) | 23.9428 | + | 7.44321i | 0.872526 | + | 0.271245i | ||||
\(754\) | 1.66734 | + | 1.90730i | 0.0607209 | + | 0.0694597i | ||||
\(755\) | 9.63302 | + | 17.0285i | 0.350581 | + | 0.619729i | ||||
\(756\) | −5.92156 | − | 26.6842i | −0.215365 | − | 0.970495i | ||||
\(757\) | 13.1585i | 0.478255i | 0.970988 | + | 0.239127i | \(0.0768613\pi\) | ||||
−0.970988 | + | 0.239127i | \(0.923139\pi\) | |||||||
\(758\) | 18.8106 | − | 1.69852i | 0.683231 | − | 0.0616932i | ||||
\(759\) | 6.00796 | − | 0.0766451i | 0.218075 | − | 0.00278204i | ||||
\(760\) | 39.7786 | + | 20.2895i | 1.44292 | + | 0.735977i | ||||
\(761\) | 8.19231 | − | 11.2758i | 0.296971 | − | 0.408746i | −0.634292 | − | 0.773094i | \(-0.718708\pi\) |
0.931263 | + | 0.364348i | \(0.118708\pi\) | |||||||
\(762\) | −4.94143 | − | 11.1560i | −0.179009 | − | 0.404138i | ||||
\(763\) | 31.0917 | − | 22.5894i | 1.12559 | − | 0.817791i | ||||
\(764\) | −38.3335 | + | 6.97965i | −1.38686 | + | 0.252515i | ||||
\(765\) | −13.0376 | + | 30.6532i | −0.471376 | + | 1.10827i | ||||
\(766\) | 3.22193 | + | 1.92374i | 0.116413 | + | 0.0695074i | ||||
\(767\) | −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 | \(-0.115999\pi\) | |||||||
\(770\) | −8.81213 | − | 3.09348i | −0.317567 | − | 0.111481i | ||||
\(771\) | 5.96564 | + | 1.85456i | 0.214847 | + | 0.0667904i | ||||
\(772\) | −3.23269 | + | 6.72280i | −0.116347 | + | 0.241959i | ||||
\(773\) | 26.9509 | + | 19.5810i | 0.969357 | + | 0.704279i | 0.955305 | − | 0.295622i | \(-0.0955269\pi\) |
0.0140523 | + | 0.999901i | \(0.495527\pi\) | |||||||
\(774\) | 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 | ||||
\(777\) | 6.39676 | + | 18.8649i | 0.229482 | + | 0.676775i | ||||
\(778\) | −12.7140 | + | 11.1145i | −0.455821 | + | 0.398473i | ||||
\(779\) | 7.92308 | + | 24.3847i | 0.283874 | + | 0.873674i | ||||
\(780\) | 21.0157 | + | 50.6189i | 0.752482 | + | 1.81245i | ||||
\(781\) | 2.44087 | − | 7.51224i | 0.0873413 | − | 0.268809i | ||||
\(782\) | 8.53248 | + | 19.9466i | 0.305121 | + | 0.713289i | ||||
\(783\) | −1.09307 | − | 0.731946i | −0.0390630 | − | 0.0261576i | ||||
\(784\) | −0.205557 | − | 0.257144i | −0.00734134 | − | 0.00918370i | ||||
\(785\) | −2.30306 | − | 4.07117i | −0.0821999 | − | 0.145306i | ||||
\(786\) | 22.4170 | − | 20.1069i | 0.799587 | − | 0.717189i | ||||
\(787\) | 18.5647 | − | 13.4881i | 0.661762 | − | 0.480798i | −0.205496 | − | 0.978658i | \(-0.565881\pi\) |
0.867257 | + | 0.497860i | \(0.165881\pi\) | |||||||
\(788\) | 1.61869 | − | 12.0024i | 0.0576634 | − | 0.427567i | ||||
\(789\) | 0.280469 | + | 0.827142i | 0.00998497 | + | 0.0294470i | ||||
\(790\) | 14.6792 | − | 10.1479i | 0.522264 | − | 0.361046i | ||||
\(791\) | 0.888993 | − | 0.645891i | 0.0316090 | − | 0.0229652i | ||||
\(792\) | −3.11135 | + | 9.00568i | −0.110557 | + | 0.320003i | ||||
\(793\) | − | 29.0196i | − | 1.03052i | ||||||
\(794\) | −1.14131 | + | 0.103056i | −0.0405034 | + | 0.00365731i | ||||
\(795\) | −2.24196 | − | 3.84778i | −0.0795141 | − | 0.136467i | ||||
\(796\) | −3.53219 | + | 7.34566i | −0.125195 | + | 0.260360i | ||||
\(797\) | 15.6797 | + | 48.2572i | 0.555404 | + | 1.70936i | 0.694873 | + | 0.719133i | \(0.255461\pi\) |
−0.139468 | + | 0.990227i | \(0.544539\pi\) | |||||||
\(798\) | 30.3722 | + | 33.8617i | 1.07516 | + | 1.19869i | ||||
\(799\) | − | 48.5999i | − | 1.71934i | ||||||
\(800\) | 28.1675 | + | 2.56753i | 0.995871 | + | 0.0907758i | ||||
\(801\) | 34.2520 | − | 12.1036i | 1.21024 | − | 0.427659i | ||||
\(802\) | −6.27091 | + | 27.5117i | −0.221433 | + | 0.971472i | ||||
\(803\) | −2.46211 | + | 0.799990i | −0.0868861 | + | 0.0282310i | ||||
\(804\) | 5.44180 | − | 3.02266i | 0.191918 | − | 0.106601i | ||||
\(805\) | 2.05778 | − | 18.0521i | 0.0725271 | − | 0.636254i | ||||
\(806\) | −4.46345 | − | 49.4312i | −0.157218 | − | 1.74114i | ||||
\(807\) | −0.216558 | − | 0.153156i | −0.00762320 | − | 0.00539136i | ||||
\(808\) | 1.85280 | − | 2.32752i | 0.0651812 | − | 0.0818818i | ||||
\(809\) | −30.4807 | − | 41.9530i | −1.07164 | − | 1.47499i | −0.868402 | − | 0.495861i | \(-0.834852\pi\) |
−0.203241 | − | 0.979129i | \(-0.565148\pi\) | |||||||
\(810\) | −17.3572 | − | 22.5550i | −0.609869 | − | 0.792502i | ||||
\(811\) | −2.24946 | + | 3.09612i | −0.0789894 | + | 0.108720i | −0.846683 | − | 0.532097i | \(-0.821404\pi\) |
0.767694 | + | 0.640817i | \(0.221404\pi\) | |||||||
\(812\) | 1.31979 | + | 0.177993i | 0.0463156 | + | 0.00624631i | ||||
\(813\) | −23.3019 | + | 0.297268i | −0.817234 | + | 0.0104257i | ||||
\(814\) | 1.54316 | − | 6.77015i | 0.0540878 | − | 0.237294i | ||||
\(815\) | −9.21958 | + | 20.2276i | −0.322948 | + | 0.708542i | ||||
\(816\) | −34.3436 | + | 2.02192i | −1.20227 | + | 0.0707814i | ||||
\(817\) | −49.6953 | − | 16.1470i | −1.73862 | − | 0.564912i | ||||
\(818\) | −28.2074 | + | 12.0662i | −0.986250 | + | 0.421884i | ||||
\(819\) | 1.42426 | + | 55.8124i | 0.0497675 | + | 1.95024i | ||||
\(820\) | 10.3991 | + | 12.4742i | 0.363152 | + | 0.435619i | ||||
\(821\) | −16.5508 | + | 5.37769i | −0.577628 | + | 0.187683i | −0.583238 | − | 0.812302i | \(-0.698214\pi\) |
0.00560959 | + | 0.999984i | \(0.498214\pi\) | |||||||
\(822\) | 27.1836 | − | 2.80460i | 0.948137 | − | 0.0978215i | ||||
\(823\) | −34.6505 | − | 25.1751i | −1.20784 | − | 0.877547i | −0.212808 | − | 0.977094i | \(-0.568261\pi\) |
−0.995033 | + | 0.0995466i | \(0.968261\pi\) | |||||||
\(824\) | −5.04729 | + | 13.4844i | −0.175831 | + | 0.469751i | ||||
\(825\) | −9.67598 | + | 0.969996i | −0.336874 | + | 0.0337709i | ||||
\(826\) | −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 | \(0.102783\pi\) | |||||||
\(828\) | −18.4270 | − | 2.00800i | −0.640382 | − | 0.0697827i | ||||
\(829\) | 3.11956 | + | 9.60102i | 0.108347 | + | 0.333457i | 0.990501 | − | 0.137503i | \(-0.0439076\pi\) |
−0.882155 | + | 0.470960i | \(0.843908\pi\) | |||||||
\(830\) | 29.0247 | + | 0.680721i | 1.00746 | + | 0.0236282i | ||||
\(831\) | −40.0431 | + | 29.8808i | −1.38908 | + | 1.03655i | ||||
\(832\) | −37.1682 | + | 42.6933i | −1.28858 | + | 1.48012i | ||||
\(833\) | −0.126290 | + | 0.388679i | −0.00437567 | + | 0.0134669i | ||||
\(834\) | 22.5849 | − | 10.0038i | 0.782052 | − | 0.346403i | ||||
\(835\) | −45.9857 | + | 9.35330i | −1.59140 | + | 0.323684i | ||||
\(836\) | −2.84034 | − | 15.5997i | −0.0982354 | − | 0.539526i | ||||
\(837\) | 8.89621 | + | 24.1887i | 0.307498 | + | 0.836084i | ||||
\(838\) | −10.4684 | + | 17.5327i | −0.361623 | + | 0.605657i | ||||
\(839\) | −11.1750 | − | 8.11910i | −0.385803 | − | 0.280302i | 0.377930 | − | 0.925834i | \(-0.376636\pi\) |
−0.763734 | + | 0.645532i | \(0.776636\pi\) | |||||||
\(840\) | 25.8309 | + | 12.7627i | 0.891251 | + | 0.440356i | ||||
\(841\) | −23.4096 | + | 17.0081i | −0.807229 | + | 0.586486i | ||||
\(842\) | −0.375951 | − | 4.16352i | −0.0129561 | − | 0.143485i | ||||
\(843\) | −0.841257 | − | 0.594962i | −0.0289744 | − | 0.0204916i | ||||
\(844\) | −15.4139 | + | 8.30619i | −0.530568 | + | 0.285911i | ||||
\(845\) | −16.5194 | − | 81.2182i | −0.568286 | − | 2.79399i | ||||
\(846\) | 36.1835 | + | 20.3706i | 1.24402 | + | 0.700355i | ||||
\(847\) | −7.91559 | − | 24.3617i | −0.271983 | − | 0.837077i | ||||
\(848\) | 2.52927 | − | 3.84144i | 0.0868556 | − | 0.131916i | ||||
\(849\) | 19.0640 | − | 26.9559i | 0.654275 | − | 0.925123i | ||||
\(850\) | −16.5673 | − | 30.9583i | −0.568252 | − | 1.06186i | ||||
\(851\) | 13.5087 | 0.463071 | ||||||||
\(852\) | −10.2790 | + | 22.0938i | −0.352153 | + | 0.756922i | ||||
\(853\) | 48.4207 | − | 15.7328i | 1.65789 | − | 0.538682i | 0.677464 | − | 0.735556i | \(-0.263079\pi\) |
0.980429 | + | 0.196874i | \(0.0630790\pi\) | |||||||
\(854\) | −10.0403 | − | 11.4853i | −0.343573 | − | 0.393019i | ||||
\(855\) | 43.5845 | + | 18.5376i | 1.49056 | + | 0.633973i | ||||
\(856\) | 19.8830 | − | 24.9774i | 0.679588 | − | 0.853711i | ||||
\(857\) | 2.33030 | 0.0796016 | 0.0398008 | − | 0.999208i | \(-0.487328\pi\) | ||||
0.0398008 | + | 0.999208i | \(0.487328\pi\) | |||||||
\(858\) | 9.76305 | − | 16.8357i | 0.333305 | − | 0.574761i | ||||
\(859\) | −25.9926 | − | 35.7758i | −0.886856 | − | 1.22065i | −0.974474 | − | 0.224499i | \(-0.927925\pi\) |
0.0876178 | − | 0.996154i | \(-0.472075\pi\) | |||||||
\(860\) | −33.0239 | + | 2.20275i | −1.12610 | + | 0.0751132i | ||||
\(861\) | 5.31243 | + | 15.6671i | 0.181047 | + | 0.533932i | ||||
\(862\) | 4.58508 | − | 7.67923i | 0.156169 | − | 0.261556i | ||||
\(863\) | 28.1433 | + | 38.7360i | 0.958010 | + | 1.31859i | 0.947876 | + | 0.318640i | \(0.103226\pi\) |
0.0101346 | + | 0.999949i | \(0.496774\pi\) | |||||||
\(864\) | 12.8897 | − | 26.4169i | 0.438517 | − | 0.898723i | ||||
\(865\) | 21.5339 | + | 2.45466i | 0.732174 | + | 0.0834611i | ||||
\(866\) | 16.4410 | + | 9.81650i | 0.558687 | + | 0.333578i | ||||
\(867\) | 7.93243 | + | 10.6302i | 0.269399 | + | 0.361021i | ||||
\(868\) | −18.8690 | − | 18.0195i | −0.640454 | − | 0.611621i | ||||
\(869\) | −6.02656 | − | 1.95815i | −0.204437 | − | 0.0664256i | ||||
\(870\) | 1.32330 | − | 0.414376i | 0.0448640 | − | 0.0140487i | ||||
\(871\) | −12.0926 | + | 3.92912i | −0.409742 | + | 0.133133i | ||||
\(872\) | 41.2886 | + | 1.81800i | 1.39821 | + | 0.0615653i | ||||
\(873\) | 4.81840 | + | 1.43077i | 0.163078 | + | 0.0484242i | ||||
\(874\) | 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 | \(0.208823\pi\) | |||||||
\(878\) | 14.9916 | − | 13.1055i | 0.505942 | − | 0.442289i | ||||
\(879\) | 11.6415 | + | 3.61904i | 0.392658 | + | 0.122067i | ||||
\(880\) | −5.34228 | − | 8.50469i | −0.180088 | − | 0.286693i | ||||
\(881\) | 21.9092 | + | 7.11873i | 0.738140 | + | 0.239836i | 0.653870 | − | 0.756607i | \(-0.273144\pi\) |
0.0842696 | + | 0.996443i | \(0.473144\pi\) | |||||||
\(882\) | −0.236445 | − | 0.256939i | −0.00796151 | − | 0.00865159i | ||||
\(883\) | 13.2951 | − | 40.9180i | 0.447415 | − | 1.37700i | −0.432398 | − | 0.901683i | \(-0.642333\pi\) |
0.879813 | − | 0.475319i | \(-0.157667\pi\) | |||||||
\(884\) | 69.6406 | + | 9.39202i | 2.34227 | + | 0.315888i | ||||
\(885\) | −4.38403 | + | 4.90806i | −0.147368 | + | 0.164983i | ||||
\(886\) | 5.57487 | − | 24.4580i | 0.187291 | − | 0.821683i | ||||
\(887\) | −9.80534 | − | 13.4959i | −0.329231 | − | 0.453148i | 0.612026 | − | 0.790837i | \(-0.290355\pi\) |
−0.941258 | + | 0.337689i | \(0.890355\pi\) | |||||||
\(888\) | −7.25290 | + | 20.1564i | −0.243391 | + | 0.676404i | ||||
\(889\) | 10.5992 | + | 7.70074i | 0.355484 | + | 0.258275i | ||||
\(890\) | −12.6837 | + | 36.1311i | −0.425160 | + | 1.21112i | ||||
\(891\) | −2.62863 | + | 9.75812i | −0.0880626 | + | 0.326909i | ||||
\(892\) | −3.05144 | − | 5.66259i | −0.102170 | − | 0.189597i | ||||
\(893\) | −69.1021 | −2.31241 | ||||||||
\(894\) | −1.31575 | + | 2.26891i | −0.0440051 | + | 0.0758838i | ||||
\(895\) | 7.98488 | + | 7.31760i | 0.266905 | + | 0.244600i | ||||
\(896\) | 0.0608705 | + | 29.7567i | 0.00203354 | + | 0.994102i | ||||
\(897\) | 36.1546 | + | 11.2395i | 1.20717 | + | 0.375277i | ||||
\(898\) | −8.88945 | + | 38.9998i | −0.296645 | + | 1.30144i | ||||
\(899\) | −1.25571 | −0.0418802 | ||||||||
\(900\) | 29.9931 | + | 0.641489i | 0.999771 | + | 0.0213830i | ||||
\(901\) | −5.70969 | −0.190217 | ||||||||
\(902\) | 1.28158 | − | 5.62252i | 0.0426718 | − | 0.187210i | ||||
\(903\) | −32.1948 | − | 10.0085i | −1.07138 | − | 0.333063i | ||||
\(904\) | 1.18055 | + | 0.0519815i | 0.0392645 | + | 0.00172888i | ||||
\(905\) | 4.47621 | + | 22.0074i | 0.148794 | + | 0.731552i | ||||
\(906\) | −10.7513 | + | 18.5399i | −0.357187 | + | 0.615945i | ||||
\(907\) | 52.4596 | 1.74189 | 0.870946 | − | 0.491378i | \(-0.163507\pi\) | ||||
0.870946 | + | 0.491378i | \(0.163507\pi\) | |||||||
\(908\) | 19.5264 | − | 10.5223i | 0.648006 | − | 0.349196i | ||||
\(909\) | 1.78896 | − | 2.59924i | 0.0593362 | − | 0.0862115i | ||||
\(910\) | −46.7869 | − | 35.6983i | −1.55097 | − | 1.18339i | ||||
\(911\) | −26.9064 | − | 19.5486i | −0.891449 | − | 0.647676i | 0.0448064 | − | 0.998996i | \(-0.485733\pi\) |
−0.936255 | + | 0.351320i | \(0.885733\pi\) | |||||||
\(912\) | 2.87488 | + | 48.8317i | 0.0951968 | + | 1.61698i | ||||
\(913\) | −6.05957 | − | 8.34028i | −0.200542 | − | 0.276023i | ||||
\(914\) | −1.86853 | + | 8.19761i | −0.0618055 | + | 0.271153i | ||||
\(915\) | −14.5366 | − | 6.40297i | −0.480564 | − | 0.211676i | ||||
\(916\) | 1.73662 | − | 12.8768i | 0.0573795 | − | 0.425462i | ||||
\(917\) | −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 | 0.671198 | − | 0.741278i | \(-0.265780\pi\) |
0.107298 | + | 0.994227i | \(0.465780\pi\) | |||||||
\(920\) | 13.8218 | − | 13.8101i | 0.455692 | − | 0.455306i | ||||
\(921\) | −38.7667 | − | 12.0516i | −1.27741 | − | 0.397112i | ||||
\(922\) | −32.3440 | + | 28.2748i | −1.06519 | + | 0.931181i | ||||
\(923\) | 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 | ||||
\(927\) | −4.34708 | + | 14.6396i | −0.142777 | + | 0.480829i | ||||
\(928\) | 0.991206 | + | 1.03369i | 0.0325379 | + | 0.0339326i | ||||
\(929\) | −28.5293 | + | 9.26973i | −0.936016 | + | 0.304130i | −0.737021 | − | 0.675870i | \(-0.763768\pi\) |
−0.198995 | + | 0.980000i | \(0.563768\pi\) | |||||||
\(930\) | −25.7460 | − | 8.67081i | −0.844245 | − | 0.284327i | ||||
\(931\) | 0.552646 | + | 0.179565i | 0.0181122 | + | 0.00588502i | ||||
\(932\) | −22.5670 | + | 23.6309i | −0.739207 | + | 0.774055i | ||||
\(933\) | −2.58352 | − | 3.46217i | −0.0845808 | − | 0.113346i | ||||
\(934\) | 25.3993 | + | 15.1653i | 0.831090 | + | 0.496224i | ||||
\(935\) | −5.17102 | + | 11.3451i | −0.169111 | + | 0.371026i | ||||
\(936\) | −36.1823 | + | 47.9121i | −1.18265 | + | 1.56605i | ||||
\(937\) | 11.4144 | + | 15.7106i | 0.372893 | + | 0.513243i | 0.953684 | − | 0.300809i | \(-0.0972568\pi\) |
−0.580791 | + | 0.814052i | \(0.697257\pi\) | |||||||
\(938\) | −3.42657 | + | 5.73891i | −0.111881 | + | 0.187382i | ||||
\(939\) | 12.1810 | + | 35.9236i | 0.397513 | + | 1.17232i | ||||
\(940\) | −40.6350 | + | 16.2661i | −1.32537 | + | 0.530541i | ||||
\(941\) | −14.0424 | − | 19.3277i | −0.457770 | − | 0.630067i | 0.516274 | − | 0.856423i | \(-0.327319\pi\) |
−0.974044 | + | 0.226357i | \(0.927319\pi\) | |||||||
\(942\) | 2.57042 | − | 4.43251i | 0.0837488 | − | 0.144419i | ||||
\(943\) | 11.2188 | 0.365334 | ||||||||
\(944\) | −6.55394 | − | 1.80053i | −0.213313 | − | 0.0586023i | ||||
\(945\) | 28.2719 | + | 11.6012i | 0.919686 | + | 0.377386i | ||||
\(946\) | 7.73496 | + | 8.84816i | 0.251485 | + | 0.287678i | ||||
\(947\) | −4.46080 | + | 1.44940i | −0.144957 | + | 0.0470992i | −0.380597 | − | 0.924741i | \(-0.624281\pi\) |
0.235640 | + | 0.971840i | \(0.424281\pi\) | |||||||
\(948\) | 17.7244 | + | 8.24615i | 0.575661 | + | 0.267823i | ||||
\(949\) | −16.3131 | −0.529545 | ||||||||
\(950\) | −44.0182 | + | 23.5562i | −1.42814 | + | 0.764265i | ||||
\(951\) | 4.93028 | − | 6.97125i | 0.159875 | − | 0.226058i | ||||
\(952\) | 30.8117 | − | 20.3774i | 0.998613 | − | 0.660436i | ||||
\(953\) | −16.6302 | − | 51.1824i | −0.538704 | − | 1.65796i | −0.735506 | − | 0.677518i | \(-0.763055\pi\) |
0.196801 | − | 0.980443i | \(-0.436945\pi\) | |||||||
\(954\) | 2.39321 | − | 4.25097i | 0.0774829 | − | 0.137630i | ||||
\(955\) | 18.0673 | − | 39.6394i | 0.584645 | − | 1.28270i | ||||
\(956\) | 17.6207 | + | 32.6989i | 0.569894 | + | 1.05756i | ||||
\(957\) | −0.402007 | − | 0.284312i | −0.0129951 | − | 0.00919050i | ||||
\(958\) | 4.54957 | + | 50.3849i | 0.146990 | + | 1.62786i | ||||
\(959\) | −23.7394 | + | 17.2477i | −0.766584 | + | 0.556956i | ||||
\(960\) | 13.1851 | + | 28.0384i | 0.425548 | + | 0.904936i | ||||
\(961\) | −5.17662 | − | 3.76103i | −0.166988 | − | 0.121324i | ||||
\(962\) | 22.4311 | − | 37.5683i | 0.723208 | − | 1.21125i | ||||
\(963\) | 19.1980 | − | 27.8934i | 0.618648 | − | 0.898854i | ||||
\(964\) | −21.4600 | + | 3.90738i | −0.691181 | + | 0.125848i | ||||
\(965\) | −4.10648 | − | 7.25911i | −0.132192 | − | 0.233679i | ||||
\(966\) | 18.1979 | − | 8.06059i | 0.585508 | − | 0.259345i | ||||
\(967\) | −17.7400 | + | 54.5980i | −0.570479 | + | 1.75575i | 0.0806028 | + | 0.996746i | \(0.474315\pi\) |
−0.651082 | + | 0.759008i | \(0.725685\pi\) | |||||||
\(968\) | 9.65650 | − | 25.7984i | 0.310372 | − | 0.829192i | ||||
\(969\) | 48.6685 | − | 36.3172i | 1.56346 | − | 1.16668i | ||||
\(970\) | −4.35819 | + | 3.01286i | −0.139933 | + | 0.0967371i | ||||
\(971\) | −1.93506 | − | 5.95550i | −0.0620990 | − | 0.191121i | 0.915194 | − | 0.403014i | \(-0.132037\pi\) |
−0.977293 | + | 0.211893i | \(0.932037\pi\) | |||||||
\(972\) | 11.6924 | − | 28.9014i | 0.375032 | − | 0.927012i | ||||
\(973\) | −15.5899 | + | 21.4577i | −0.499790 | + | 0.687902i | ||||
\(974\) | −54.2137 | + | 23.1908i | −1.73712 | + | 0.743081i | ||||
\(975\) | −59.8764 | − | 13.0282i | −1.91758 | − | 0.417236i | ||||
\(976\) | −0.755173 | − | 16.3878i | −0.0241725 | − | 0.524561i | ||||
\(977\) | 7.15321 | + | 5.19711i | 0.228851 | + | 0.166270i | 0.696302 | − | 0.717749i | \(-0.254827\pi\) |
−0.467451 | + | 0.884019i | \(0.654827\pi\) | |||||||
\(978\) | −24.2228 | + | 2.49912i | −0.774558 | + | 0.0799130i | ||||
\(979\) | 12.9318 | − | 4.20179i | 0.413301 | − | 0.134290i | ||||
\(980\) | 0.367248 | − | 0.0244961i | 0.0117313 | − | 0.000782499i | ||||
\(981\) | 43.8213 | − | 1.11826i | 1.39911 | − | 0.0357033i | ||||
\(982\) | 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 | \(0.472131\pi\) | |||||||
\(984\) | −6.02344 | + | 16.7396i | −0.192020 | + | 0.533640i | ||||
\(985\) | 9.98264 | + | 9.14840i | 0.318073 | + | 0.291492i | ||||
\(986\) | 0.395107 | − | 1.73341i | 0.0125828 | − | 0.0552031i | ||||
\(987\) | −44.5825 | + | 0.568750i | −1.41908 | + | 0.0181035i | ||||
\(988\) | 13.3541 | − | 99.0189i | 0.424850 | − | 3.15021i | ||||
\(989\) | −13.4388 | + | 18.4970i | −0.427330 | + | 0.588170i | ||||
\(990\) | −6.27924 | − | 8.60521i | −0.199567 | − | 0.273492i | ||||
\(991\) | −28.2279 | − | 38.8523i | −0.896688 | − | 1.23418i | −0.971513 | − | 0.236988i | \(-0.923840\pi\) |
0.0748249 | − | 0.997197i | \(-0.476160\pi\) | |||||||
\(992\) | −3.80692 | − | 27.7984i | −0.120870 | − | 0.882600i | ||||
\(993\) | 9.69892 | + | 6.85937i | 0.307786 | + | 0.217676i | ||||
\(994\) | −2.35304 | − | 26.0591i | −0.0746339 | − | 0.826546i | ||||
\(995\) | −4.48695 | − | 7.93166i | −0.142246 | − | 0.251450i | ||||
\(996\) | 15.4431 | + | 27.8027i | 0.489332 | + | 0.880962i | ||||
\(997\) | 52.2528 | − | 16.9780i | 1.65486 | − | 0.537698i | 0.675078 | − | 0.737746i | \(-0.264110\pi\) |
0.979786 | + | 0.200048i | \(0.0641099\pi\) | |||||||
\(998\) | 0.928244 | − | 4.07239i | 0.0293830 | − | 0.128909i | ||||
\(999\) | −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.59.53 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.59.4 | ✓ | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.59.39 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.59.18 | yes | 224 | |
25.14 | even | 10 | inner | 300.2.r.a.239.18 | yes | 224 | |
75.14 | odd | 10 | inner | 300.2.r.a.239.39 | yes | 224 | |
100.39 | odd | 10 | inner | 300.2.r.a.239.4 | yes | 224 | |
300.239 | even | 10 | inner | 300.2.r.a.239.53 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.59.4 | ✓ | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.59.18 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.59.39 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.59.53 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.239.4 | yes | 224 | 100.39 | odd | 10 | inner | |
300.2.r.a.239.18 | yes | 224 | 25.14 | even | 10 | inner | |
300.2.r.a.239.39 | yes | 224 | 75.14 | odd | 10 | inner | |
300.2.r.a.239.53 | yes | 224 | 300.239 | even | 10 | inner |