Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,6,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.89650425196\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 9.1 | ||
Character | \(\chi\) | \(=\) | 43.9 |
Dual form | 43.6.g.a.24.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −6.52161 | − | 8.17784i | −1.15287 | − | 1.44565i | −0.874400 | − | 0.485205i | \(-0.838745\pi\) |
−0.278468 | − | 0.960446i | \(-0.589827\pi\) | |||||||
\(3\) | 17.3296 | + | 2.61202i | 1.11169 | + | 0.167561i | 0.679113 | − | 0.734034i | \(-0.262365\pi\) |
0.432582 | + | 0.901595i | \(0.357603\pi\) | |||||||
\(4\) | −17.2250 | + | 75.4676i | −0.538281 | + | 2.35836i | ||||
\(5\) | 2.46584 | + | 1.68118i | 0.0441102 | + | 0.0300738i | 0.585174 | − | 0.810907i | \(-0.301026\pi\) |
−0.541064 | + | 0.840981i | \(0.681978\pi\) | |||||||
\(6\) | −91.6562 | − | 158.753i | −1.03940 | − | 1.80030i | ||||
\(7\) | 94.8911 | − | 164.356i | 0.731949 | − | 1.26777i | −0.224101 | − | 0.974566i | \(-0.571944\pi\) |
0.956049 | − | 0.293206i | \(-0.0947222\pi\) | |||||||
\(8\) | 427.928 | − | 206.079i | 2.36399 | − | 1.13844i | ||||
\(9\) | 61.2883 | + | 18.9049i | 0.252215 | + | 0.0777981i | ||||
\(10\) | −2.33281 | − | 31.1292i | −0.00737699 | − | 0.0984392i | ||||
\(11\) | −24.7212 | − | 108.311i | −0.0616009 | − | 0.269891i | 0.934743 | − | 0.355325i | \(-0.115630\pi\) |
−0.996344 | + | 0.0854333i | \(0.972773\pi\) | |||||||
\(12\) | −495.625 | + | 1262.83i | −0.993573 | + | 2.53158i | ||||
\(13\) | 58.7689 | − | 784.216i | 0.0964470 | − | 1.28700i | −0.713567 | − | 0.700586i | \(-0.752922\pi\) |
0.810015 | − | 0.586410i | \(-0.199459\pi\) | |||||||
\(14\) | −1962.92 | + | 295.863i | −2.67660 | + | 0.403432i | ||||
\(15\) | 38.3407 | + | 35.5750i | 0.0439979 | + | 0.0408241i | ||||
\(16\) | −2244.30 | − | 1080.80i | −2.19170 | − | 1.05547i | ||||
\(17\) | −707.745 | + | 482.533i | −0.593957 | + | 0.404953i | −0.822652 | − | 0.568545i | \(-0.807506\pi\) |
0.228695 | + | 0.973498i | \(0.426554\pi\) | |||||||
\(18\) | −245.097 | − | 624.496i | −0.178302 | − | 0.454306i | ||||
\(19\) | 1767.36 | − | 545.157i | 1.12316 | − | 0.346448i | 0.323095 | − | 0.946367i | \(-0.395277\pi\) |
0.800061 | + | 0.599919i | \(0.204800\pi\) | |||||||
\(20\) | −169.348 | + | 157.132i | −0.0946687 | + | 0.0878397i | ||||
\(21\) | 2073.73 | − | 2600.37i | 1.02613 | − | 1.28673i | ||||
\(22\) | −724.524 | + | 908.524i | −0.319151 | + | 0.400203i | ||||
\(23\) | −1916.48 | + | 1778.23i | −0.755412 | + | 0.700919i | −0.960641 | − | 0.277794i | \(-0.910397\pi\) |
0.205229 | + | 0.978714i | \(0.434206\pi\) | |||||||
\(24\) | 7954.11 | − | 2453.52i | 2.81880 | − | 0.869483i | ||||
\(25\) | −1138.44 | − | 2900.69i | −0.364300 | − | 0.928221i | ||||
\(26\) | −6796.46 | + | 4633.75i | −1.97174 | + | 1.34431i | ||||
\(27\) | −2824.20 | − | 1360.06i | −0.745565 | − | 0.359045i | ||||
\(28\) | 10769.1 | + | 9992.24i | 2.59587 | + | 2.40862i | ||||
\(29\) | 7555.17 | − | 1138.76i | 1.66821 | − | 0.251441i | 0.754053 | − | 0.656813i | \(-0.228096\pi\) |
0.914152 | + | 0.405372i | \(0.132858\pi\) | |||||||
\(30\) | 40.8833 | − | 545.550i | 0.00829360 | − | 0.110670i | ||||
\(31\) | 1231.87 | − | 3138.76i | 0.230229 | − | 0.586615i | −0.768342 | − | 0.640039i | \(-0.778918\pi\) |
0.998572 | + | 0.0534238i | \(0.0170134\pi\) | |||||||
\(32\) | 2415.80 | + | 10584.3i | 0.417047 | + | 1.82720i | ||||
\(33\) | −145.499 | − | 1941.55i | −0.0232582 | − | 0.310359i | ||||
\(34\) | 8561.71 | + | 2640.94i | 1.27017 | + | 0.391797i | ||||
\(35\) | 510.298 | − | 245.747i | 0.0704132 | − | 0.0339092i | ||||
\(36\) | −2482.40 | + | 4299.64i | −0.319239 | + | 0.552938i | ||||
\(37\) | 2712.48 | + | 4698.15i | 0.325733 | + | 0.564187i | 0.981661 | − | 0.190637i | \(-0.0610555\pi\) |
−0.655927 | + | 0.754824i | \(0.727722\pi\) | |||||||
\(38\) | −15984.2 | − | 10897.8i | −1.79569 | − | 1.22428i | ||||
\(39\) | 3066.83 | − | 13436.6i | 0.322870 | − | 1.41459i | ||||
\(40\) | 1401.66 | + | 211.266i | 0.138513 | + | 0.0208775i | ||||
\(41\) | −10847.0 | − | 13601.7i | −1.00774 | − | 1.26367i | −0.964355 | − | 0.264610i | \(-0.914757\pi\) |
−0.0433869 | − | 0.999058i | \(-0.513815\pi\) | |||||||
\(42\) | −34789.4 | −3.04316 | ||||||||
\(43\) | 8592.92 | + | 8553.96i | 0.708712 | + | 0.705498i | ||||
\(44\) | 8599.76 | 0.669660 | ||||||||
\(45\) | 119.344 | + | 149.653i | 0.00878558 | + | 0.0110168i | ||||
\(46\) | 27040.6 | + | 4075.71i | 1.88417 | + | 0.283994i | ||||
\(47\) | −6317.94 | + | 27680.7i | −0.417187 | + | 1.82782i | 0.130900 | + | 0.991396i | \(0.458213\pi\) |
−0.548087 | + | 0.836421i | \(0.684644\pi\) | |||||||
\(48\) | −36069.8 | − | 24592.0i | −2.25965 | − | 1.54060i | ||||
\(49\) | −9605.15 | − | 16636.6i | −0.571497 | − | 0.989862i | ||||
\(50\) | −16296.9 | + | 28227.1i | −0.921893 | + | 1.59677i | ||||
\(51\) | −13525.3 | + | 6513.45i | −0.728153 | + | 0.350660i | ||||
\(52\) | 58170.6 | + | 17943.3i | 2.98329 | + | 0.920222i | ||||
\(53\) | 408.905 | + | 5456.46i | 0.0199955 | + | 0.266822i | 0.998237 | + | 0.0593526i | \(0.0189036\pi\) |
−0.978242 | + | 0.207469i | \(0.933477\pi\) | |||||||
\(54\) | 7295.94 | + | 31965.6i | 0.340484 | + | 1.49176i | ||||
\(55\) | 121.131 | − | 308.637i | 0.00539944 | − | 0.0137575i | ||||
\(56\) | 6736.16 | − | 89887.8i | 0.287040 | − | 3.83028i | ||||
\(57\) | 32051.5 | − | 4830.99i | 1.30666 | − | 0.196947i | ||||
\(58\) | −58584.5 | − | 54358.4i | −2.28672 | − | 2.12176i | ||||
\(59\) | 39529.8 | + | 19036.5i | 1.47841 | + | 0.711963i | 0.987260 | − | 0.159113i | \(-0.0508635\pi\) |
0.491147 | + | 0.871077i | \(0.336578\pi\) | |||||||
\(60\) | −3345.17 | + | 2280.70i | −0.119961 | + | 0.0817881i | ||||
\(61\) | 9337.79 | + | 23792.3i | 0.321307 | + | 0.818676i | 0.996697 | + | 0.0812150i | \(0.0258800\pi\) |
−0.675390 | + | 0.737461i | \(0.736025\pi\) | |||||||
\(62\) | −33702.0 | + | 10395.7i | −1.11346 | + | 0.343458i | ||||
\(63\) | 8922.86 | − | 8279.20i | 0.283239 | − | 0.262807i | ||||
\(64\) | 21102.4 | − | 26461.5i | 0.643993 | − | 0.807542i | ||||
\(65\) | 1463.32 | − | 1834.95i | 0.0429592 | − | 0.0538692i | ||||
\(66\) | −14928.8 | + | 13851.9i | −0.421857 | + | 0.391426i | ||||
\(67\) | 38143.4 | − | 11765.7i | 1.03808 | − | 0.320206i | 0.271559 | − | 0.962422i | \(-0.412461\pi\) |
0.766524 | + | 0.642216i | \(0.221985\pi\) | |||||||
\(68\) | −24224.7 | − | 61723.4i | −0.635310 | − | 1.61874i | ||||
\(69\) | −37856.5 | + | 25810.1i | −0.957234 | + | 0.652631i | ||||
\(70\) | −5337.64 | − | 2570.47i | −0.130198 | − | 0.0627000i | ||||
\(71\) | 11649.5 | + | 10809.2i | 0.274260 | + | 0.254476i | 0.805296 | − | 0.592873i | \(-0.202006\pi\) |
−0.531036 | + | 0.847349i | \(0.678197\pi\) | |||||||
\(72\) | 30122.9 | − | 4540.30i | 0.684803 | − | 0.103217i | ||||
\(73\) | −1868.64 | + | 24935.3i | −0.0410411 | + | 0.547656i | 0.938350 | + | 0.345685i | \(0.112354\pi\) |
−0.979392 | + | 0.201971i | \(0.935265\pi\) | |||||||
\(74\) | 20731.0 | − | 52821.7i | 0.440089 | − | 1.12133i | ||||
\(75\) | −12152.0 | − | 53241.4i | −0.249456 | − | 1.09294i | ||||
\(76\) | 10699.0 | + | 142768.i | 0.212476 | + | 2.83529i | ||||
\(77\) | −20147.3 | − | 6214.63i | −0.387249 | − | 0.119451i | ||||
\(78\) | −129883. | + | 62548.5i | −2.41722 | + | 1.16407i | ||||
\(79\) | −2020.04 | + | 3498.81i | −0.0364160 | + | 0.0630744i | −0.883659 | − | 0.468131i | \(-0.844927\pi\) |
0.847243 | + | 0.531206i | \(0.178261\pi\) | |||||||
\(80\) | −3717.07 | − | 6438.15i | −0.0649345 | − | 0.112470i | ||||
\(81\) | −58267.0 | − | 39725.8i | −0.986757 | − | 0.672760i | ||||
\(82\) | −40492.6 | + | 177410.i | −0.665030 | + | 2.91369i | ||||
\(83\) | −7909.67 | − | 1192.19i | −0.126027 | − | 0.0189955i | 0.0857259 | − | 0.996319i | \(-0.472679\pi\) |
−0.211753 | + | 0.977323i | \(0.567917\pi\) | |||||||
\(84\) | 160524. | + | 201291.i | 2.48223 | + | 3.11261i | ||||
\(85\) | −2556.41 | −0.0383780 | ||||||||
\(86\) | 13913.2 | − | 126057.i | 0.202853 | − | 1.83790i | ||||
\(87\) | 133903. | 1.89667 | ||||||||
\(88\) | −32899.5 | − | 41254.6i | −0.452879 | − | 0.567892i | ||||
\(89\) | 51728.4 | + | 7796.80i | 0.692236 | + | 0.104338i | 0.485732 | − | 0.874108i | \(-0.338553\pi\) |
0.206504 | + | 0.978446i | \(0.433791\pi\) | |||||||
\(90\) | 445.521 | − | 1951.96i | 0.00579779 | − | 0.0254018i | ||||
\(91\) | −123314. | − | 84074.2i | −1.56102 | − | 1.06429i | ||||
\(92\) | −101187. | − | 175262.i | −1.24640 | − | 2.15883i | ||||
\(93\) | 29546.3 | − | 51175.7i | 0.354239 | − | 0.613559i | ||||
\(94\) | 267572. | − | 128856.i | 3.12335 | − | 1.50412i | ||||
\(95\) | 5274.52 | + | 1626.97i | 0.0599617 | + | 0.0184957i | ||||
\(96\) | 14218.4 | + | 189732.i | 0.157461 | + | 2.10117i | ||||
\(97\) | 6410.50 | + | 28086.3i | 0.0691772 | + | 0.303085i | 0.997667 | − | 0.0682738i | \(-0.0217491\pi\) |
−0.928489 | + | 0.371359i | \(0.878892\pi\) | |||||||
\(98\) | −73410.5 | + | 187047.i | −0.772134 | + | 1.96737i | ||||
\(99\) | 532.485 | − | 7105.52i | 0.00546034 | − | 0.0728631i | ||||
\(100\) | 238518. | − | 35950.7i | 2.38518 | − | 0.359507i | ||||
\(101\) | −15526.9 | − | 14406.9i | −0.151455 | − | 0.140529i | 0.600806 | − | 0.799395i | \(-0.294846\pi\) |
−0.752261 | + | 0.658865i | \(0.771037\pi\) | |||||||
\(102\) | 141473. | + | 68129.7i | 1.34640 | + | 0.648390i | ||||
\(103\) | −104880. | + | 71505.7i | −0.974087 | + | 0.664121i | −0.942088 | − | 0.335367i | \(-0.891140\pi\) |
−0.0319993 | + | 0.999488i | \(0.510187\pi\) | |||||||
\(104\) | −136462. | − | 347699.i | −1.23717 | − | 3.15225i | ||||
\(105\) | 9485.16 | − | 2925.78i | 0.0839598 | − | 0.0258982i | ||||
\(106\) | 41955.3 | − | 38928.8i | 0.362679 | − | 0.336517i | ||||
\(107\) | −47550.6 | + | 59626.5i | −0.401510 | + | 0.503477i | −0.940950 | − | 0.338547i | \(-0.890065\pi\) |
0.539440 | + | 0.842024i | \(0.318636\pi\) | |||||||
\(108\) | 151287. | − | 189708.i | 1.24808 | − | 1.56505i | ||||
\(109\) | −66290.9 | + | 61509.0i | −0.534426 | + | 0.495875i | −0.900587 | − | 0.434677i | \(-0.856863\pi\) |
0.366160 | + | 0.930552i | \(0.380672\pi\) | |||||||
\(110\) | −3313.95 | + | 1022.22i | −0.0261134 | + | 0.00805493i | ||||
\(111\) | 34734.5 | + | 88502.2i | 0.267580 | + | 0.681783i | ||||
\(112\) | −390601. | + | 266307.i | −2.94231 | + | 2.00603i | ||||
\(113\) | 12254.3 | + | 5901.34i | 0.0902799 | + | 0.0434765i | 0.478479 | − | 0.878099i | \(-0.341188\pi\) |
−0.388199 | + | 0.921576i | \(0.626903\pi\) | |||||||
\(114\) | −248535. | − | 230606.i | −1.79112 | − | 1.66192i | ||||
\(115\) | −7715.23 | + | 1162.88i | −0.0544007 | + | 0.00819959i | ||||
\(116\) | −44198.3 | + | 589786.i | −0.304973 | + | 4.06958i | ||||
\(117\) | 18427.4 | − | 46952.2i | 0.124451 | − | 0.317097i | ||||
\(118\) | −102120. | − | 447417.i | −0.675158 | − | 2.95806i | ||||
\(119\) | 12148.5 | + | 162110.i | 0.0786421 | + | 1.04941i | ||||
\(120\) | 23738.3 | + | 7322.31i | 0.150486 | + | 0.0464189i | ||||
\(121\) | 133982. | − | 64522.3i | 0.831922 | − | 0.400633i | ||||
\(122\) | 133672. | − | 231527.i | 0.813095 | − | 1.40832i | ||||
\(123\) | −152446. | − | 264044.i | −0.908560 | − | 1.57367i | ||||
\(124\) | 215655. | + | 147031.i | 1.25952 | + | 0.858728i | ||||
\(125\) | 4144.67 | − | 18159.0i | 0.0237255 | − | 0.103948i | ||||
\(126\) | −125897. | − | 18976.0i | −0.706464 | − | 0.106482i | ||||
\(127\) | −123176. | − | 154458.i | −0.677670 | − | 0.849772i | 0.317467 | − | 0.948269i | \(-0.397168\pi\) |
−0.995137 | + | 0.0984977i | \(0.968596\pi\) | |||||||
\(128\) | −6611.79 | −0.0356692 | ||||||||
\(129\) | 126569. | + | 170682.i | 0.669657 | + | 0.903051i | ||||
\(130\) | −24549.1 | −0.127402 | ||||||||
\(131\) | −36926.6 | − | 46304.5i | −0.188001 | − | 0.235746i | 0.678894 | − | 0.734236i | \(-0.262459\pi\) |
−0.866895 | + | 0.498490i | \(0.833888\pi\) | |||||||
\(132\) | 149030. | + | 22462.7i | 0.744457 | + | 0.112209i | ||||
\(133\) | 78106.4 | − | 342207.i | 0.382876 | − | 1.67749i | ||||
\(134\) | −344974. | − | 235199.i | −1.65968 | − | 1.13155i | ||||
\(135\) | −4677.50 | − | 8101.67i | −0.0220892 | − | 0.0382596i | ||||
\(136\) | −203424. | + | 352341.i | −0.943095 | + | 1.63349i | ||||
\(137\) | −271176. | + | 130592.i | −1.23438 | + | 0.594448i | −0.933282 | − | 0.359144i | \(-0.883069\pi\) |
−0.301102 | + | 0.953592i | \(0.597354\pi\) | |||||||
\(138\) | 457956. | + | 141261.i | 2.04704 | + | 0.631428i | ||||
\(139\) | 10800.2 | + | 144118.i | 0.0474126 | + | 0.632678i | 0.969405 | + | 0.245468i | \(0.0789418\pi\) |
−0.921992 | + | 0.387209i | \(0.873439\pi\) | |||||||
\(140\) | 9756.03 | + | 42744.0i | 0.0420681 | + | 0.184312i | ||||
\(141\) | −181790. | + | 463193.i | −0.770056 | + | 1.96207i | ||||
\(142\) | 12422.1 | − | 165761.i | 0.0516980 | − | 0.689862i | ||||
\(143\) | −86391.7 | + | 13021.4i | −0.353290 | + | 0.0532500i | ||||
\(144\) | −117117. | − | 108669.i | −0.470667 | − | 0.436715i | ||||
\(145\) | 20544.3 | + | 9893.60i | 0.0811467 | + | 0.0390782i | ||||
\(146\) | 216104. | − | 147337.i | 0.839035 | − | 0.572044i | ||||
\(147\) | −122998. | − | 313395.i | −0.469468 | − | 1.19619i | ||||
\(148\) | −401281. | + | 123779.i | −1.50589 | + | 0.464506i | ||||
\(149\) | −72160.6 | + | 66955.3i | −0.266278 | + | 0.247069i | −0.801999 | − | 0.597325i | \(-0.796230\pi\) |
0.535722 | + | 0.844395i | \(0.320040\pi\) | |||||||
\(150\) | −356149. | + | 446597.i | −1.29242 | + | 1.62064i | ||||
\(151\) | 262357. | − | 328985.i | 0.936375 | − | 1.17418i | −0.0481334 | − | 0.998841i | \(-0.515327\pi\) |
0.984509 | − | 0.175336i | \(-0.0561013\pi\) | |||||||
\(152\) | 643956. | − | 597504.i | 2.26072 | − | 2.09764i | ||||
\(153\) | −52498.8 | + | 16193.7i | −0.181309 | + | 0.0559266i | ||||
\(154\) | 80570.8 | + | 205291.i | 0.273764 | + | 0.697538i | ||||
\(155\) | 8314.40 | − | 5668.66i | 0.0277972 | − | 0.0189518i | ||||
\(156\) | 961205. | + | 462892.i | 3.16231 | + | 1.52289i | ||||
\(157\) | 239406. | + | 222136.i | 0.775150 | + | 0.719234i | 0.964905 | − | 0.262597i | \(-0.0845791\pi\) |
−0.189756 | + | 0.981831i | \(0.560770\pi\) | |||||||
\(158\) | 41786.6 | − | 6298.32i | 0.133166 | − | 0.0200716i | ||||
\(159\) | −7166.20 | + | 95626.3i | −0.0224800 | + | 0.299975i | ||||
\(160\) | −11837.1 | + | 30160.5i | −0.0365550 | + | 0.0931406i | ||||
\(161\) | 110407. | + | 483723.i | 0.335684 | + | 1.47073i | ||||
\(162\) | 55123.7 | + | 735574.i | 0.165025 | + | 2.20211i | ||||
\(163\) | 215568. | + | 66494.0i | 0.635500 | + | 0.196026i | 0.595732 | − | 0.803183i | \(-0.296862\pi\) |
0.0397679 | + | 0.999209i | \(0.487338\pi\) | |||||||
\(164\) | 1.21333e6 | − | 584307.i | 3.52264 | − | 1.69641i | ||||
\(165\) | 2905.32 | − | 5032.16i | 0.00830775 | − | 0.0143894i | ||||
\(166\) | 41834.2 | + | 72458.9i | 0.117831 | + | 0.204090i | ||||
\(167\) | −324332. | − | 221126.i | −0.899909 | − | 0.613547i | 0.0225066 | − | 0.999747i | \(-0.492835\pi\) |
−0.922415 | + | 0.386199i | \(0.873788\pi\) | |||||||
\(168\) | 351524. | − | 1.54013e6i | 0.960907 | − | 4.21001i | ||||
\(169\) | −244395. | − | 36836.6i | −0.658227 | − | 0.0992117i | ||||
\(170\) | 16671.9 | + | 20905.9i | 0.0442448 | + | 0.0554812i | ||||
\(171\) | 118624. | 0.310230 | ||||||||
\(172\) | −793559. | + | 501145.i | −2.04531 | + | 1.29164i | ||||
\(173\) | 323279. | 0.821226 | 0.410613 | − | 0.911810i | \(-0.365315\pi\) | ||||
0.410613 | + | 0.911810i | \(0.365315\pi\) | |||||||
\(174\) | −873260. | − | 1.09503e6i | −2.18661 | − | 2.74192i | ||||
\(175\) | −584774. | − | 88140.5i | −1.44342 | − | 0.217561i | ||||
\(176\) | −61580.2 | + | 269800.i | −0.149851 | + | 0.656539i | ||||
\(177\) | 635311. | + | 433148.i | 1.52424 | + | 1.03921i | ||||
\(178\) | −273591. | − | 473874.i | −0.647220 | − | 1.12102i | ||||
\(179\) | 69420.6 | − | 120240.i | 0.161941 | − | 0.280490i | −0.773624 | − | 0.633645i | \(-0.781558\pi\) |
0.935565 | + | 0.353155i | \(0.114891\pi\) | |||||||
\(180\) | −13349.7 | + | 6428.86i | −0.0307106 | + | 0.0147895i | ||||
\(181\) | 492953. | + | 152056.i | 1.11843 | + | 0.344990i | 0.798226 | − | 0.602358i | \(-0.205772\pi\) |
0.320205 | + | 0.947348i | \(0.396248\pi\) | |||||||
\(182\) | 116662. | + | 1.55674e6i | 0.261066 | + | 3.48368i | ||||
\(183\) | 99674.3 | + | 436702.i | 0.220017 | + | 0.963956i | ||||
\(184\) | −453658. | + | 1.15590e6i | −0.987833 | + | 2.51696i | ||||
\(185\) | −1209.90 | + | 16145.0i | −0.00259909 | + | 0.0346825i | ||||
\(186\) | −611196. | + | 92123.0i | −1.29538 | + | 0.195248i | ||||
\(187\) | 69759.6 | + | 64727.5i | 0.145882 | + | 0.135358i | ||||
\(188\) | −1.98017e6 | − | 953600.i | −4.08609 | − | 1.96776i | ||||
\(189\) | −491526. | + | 335117.i | −1.00090 | + | 0.682404i | ||||
\(190\) | −21093.2 | − | 53744.6i | −0.0423895 | − | 0.108007i | ||||
\(191\) | −305967. | + | 94378.4i | −0.606864 | + | 0.187193i | −0.582932 | − | 0.812521i | \(-0.698095\pi\) |
−0.0239319 | + | 0.999714i | \(0.507618\pi\) | |||||||
\(192\) | 434814. | − | 403448.i | 0.851236 | − | 0.789832i | ||||
\(193\) | −368373. | + | 461925.i | −0.711860 | + | 0.892644i | −0.997847 | − | 0.0655892i | \(-0.979107\pi\) |
0.285987 | + | 0.958234i | \(0.407679\pi\) | |||||||
\(194\) | 187878. | − | 235592.i | 0.358403 | − | 0.449423i | ||||
\(195\) | 30151.7 | − | 27976.7i | 0.0567839 | − | 0.0526878i | ||||
\(196\) | 1.42097e6 | − | 438312.i | 2.64208 | − | 0.814974i | ||||
\(197\) | −12713.4 | − | 32393.2i | −0.0233398 | − | 0.0594688i | 0.918729 | − | 0.394889i | \(-0.129217\pi\) |
−0.942069 | + | 0.335420i | \(0.891122\pi\) | |||||||
\(198\) | −61580.4 | + | 41984.8i | −0.111630 | + | 0.0761078i | ||||
\(199\) | −738165. | − | 355481.i | −1.32136 | − | 0.636333i | −0.365679 | − | 0.930741i | \(-0.619163\pi\) |
−0.955680 | + | 0.294408i | \(0.904877\pi\) | |||||||
\(200\) | −1.08494e6 | − | 1.00668e6i | −1.91792 | − | 1.77957i | ||||
\(201\) | 691741. | − | 104263.i | 1.20768 | − | 0.182029i | ||||
\(202\) | −16556.6 | + | 220933.i | −0.0285492 | + | 0.380962i | ||||
\(203\) | 529757. | − | 1.34980e6i | 0.902270 | − | 2.29895i | ||||
\(204\) | −258581. | − | 1.13292e6i | −0.435032 | − | 1.90600i | ||||
\(205\) | −3880.02 | − | 51775.3i | −0.00644836 | − | 0.0860474i | ||||
\(206\) | 1.26874e6 | + | 391356.i | 2.08308 | + | 0.642546i | ||||
\(207\) | −151075. | + | 72753.8i | −0.245056 | + | 0.118013i | ||||
\(208\) | −979475. | + | 1.69650e6i | −1.56977 | + | 2.71892i | ||||
\(209\) | −102737. | − | 177946.i | −0.162691 | − | 0.281789i | ||||
\(210\) | −85785.1 | − | 58487.3i | −0.134234 | − | 0.0915194i | ||||
\(211\) | 230560. | − | 1.01015e6i | 0.356516 | − | 1.56200i | −0.405288 | − | 0.914189i | \(-0.632829\pi\) |
0.761803 | − | 0.647808i | \(-0.224314\pi\) | |||||||
\(212\) | −418829. | − | 63128.3i | −0.640025 | − | 0.0964683i | ||||
\(213\) | 173648. | + | 217748.i | 0.262253 | + | 0.328855i | ||||
\(214\) | 797722. | 1.19074 | ||||||||
\(215\) | 6808.00 | + | 35538.9i | 0.0100444 | + | 0.0524334i | ||||
\(216\) | −1.48883e6 | −2.17126 | ||||||||
\(217\) | −398981. | − | 500306.i | −0.575178 | − | 0.721251i | ||||
\(218\) | 935333. | + | 140979.i | 1.33298 | + | 0.200915i | ||||
\(219\) | −97514.4 | + | 427238.i | −0.137391 | + | 0.601949i | ||||
\(220\) | 21205.6 | + | 14457.7i | 0.0295389 | + | 0.0201392i | ||||
\(221\) | 336816. | + | 583383.i | 0.463887 | + | 0.803476i | ||||
\(222\) | 497231. | − | 861230.i | 0.677136 | − | 1.17283i | ||||
\(223\) | 1.05998e6 | − | 510459.i | 1.42737 | − | 0.687383i | 0.448860 | − | 0.893602i | \(-0.351830\pi\) |
0.978506 | + | 0.206219i | \(0.0661161\pi\) | |||||||
\(224\) | 1.96883e6 | + | 607304.i | 2.62173 | + | 0.808698i | ||||
\(225\) | −14935.5 | − | 199300.i | −0.0196681 | − | 0.262453i | ||||
\(226\) | −31657.3 | − | 138700.i | −0.0412290 | − | 0.180636i | ||||
\(227\) | 265388. | − | 676197.i | 0.341835 | − | 0.870981i | −0.651806 | − | 0.758385i | \(-0.725988\pi\) |
0.993641 | − | 0.112595i | \(-0.0359163\pi\) | |||||||
\(228\) | −187504. | + | 2.50207e6i | −0.238876 | + | 3.18758i | ||||
\(229\) | −339093. | + | 51110.0i | −0.427297 | + | 0.0644046i | −0.359170 | − | 0.933272i | \(-0.616940\pi\) |
−0.0681266 | + | 0.997677i | \(0.521702\pi\) | |||||||
\(230\) | 59825.6 | + | 55510.1i | 0.0745706 | + | 0.0691914i | ||||
\(231\) | −332913. | − | 160322.i | −0.410488 | − | 0.197680i | ||||
\(232\) | 2.99840e6 | − | 2.04427e6i | 3.65737 | − | 2.49356i | ||||
\(233\) | 403289. | + | 1.02756e6i | 0.486661 | + | 1.23999i | 0.937687 | + | 0.347481i | \(0.112963\pi\) |
−0.451026 | + | 0.892511i | \(0.648942\pi\) | |||||||
\(234\) | −504144. | + | 155508.i | −0.601887 | + | 0.185658i | ||||
\(235\) | −62115.2 | + | 57634.5i | −0.0733717 | + | 0.0680790i | ||||
\(236\) | −2.11754e6 | + | 2.65531e6i | −2.47487 | + | 3.10338i | ||||
\(237\) | −44145.4 | + | 55356.6i | −0.0510523 | + | 0.0640175i | ||||
\(238\) | 1.24648e6 | − | 1.15657e6i | 1.42641 | − | 1.32352i | ||||
\(239\) | −418788. | + | 129179.i | −0.474241 | + | 0.146284i | −0.522657 | − | 0.852543i | \(-0.675059\pi\) |
0.0484156 | + | 0.998827i | \(0.484583\pi\) | |||||||
\(240\) | −47598.7 | − | 121280.i | −0.0533418 | − | 0.135913i | ||||
\(241\) | 303583. | − | 206979.i | 0.336693 | − | 0.229554i | −0.383157 | − | 0.923683i | \(-0.625163\pi\) |
0.719850 | + | 0.694130i | \(0.244211\pi\) | |||||||
\(242\) | −1.40143e6 | − | 674893.i | −1.53827 | − | 0.740793i | ||||
\(243\) | −347605. | − | 322530.i | −0.377633 | − | 0.350392i | ||||
\(244\) | −1.95639e6 | + | 294878.i | −2.10369 | + | 0.317080i | ||||
\(245\) | 4284.39 | − | 57171.2i | 0.00456009 | − | 0.0608502i | ||||
\(246\) | −1.16512e6 | + | 2.96867e6i | −1.22753 | + | 3.12770i | ||||
\(247\) | −323655. | − | 1.41803e6i | −0.337552 | − | 1.47891i | ||||
\(248\) | −119681. | − | 1.59703e6i | −0.123565 | − | 1.64886i | ||||
\(249\) | −133957. | − | 41320.4i | −0.136920 | − | 0.0422343i | ||||
\(250\) | −175531. | + | 84531.4i | −0.177625 | + | 0.0855397i | ||||
\(251\) | −351734. | + | 609220.i | −0.352395 | + | 0.610366i | −0.986669 | − | 0.162743i | \(-0.947966\pi\) |
0.634274 | + | 0.773109i | \(0.281299\pi\) | |||||||
\(252\) | 471115. | + | 815996.i | 0.467333 | + | 0.809444i | ||||
\(253\) | 239978. | + | 163615.i | 0.235706 | + | 0.160702i | ||||
\(254\) | −459827. | + | 2.01463e6i | −0.447209 | + | 1.95935i | ||||
\(255\) | −44301.5 | − | 6677.38i | −0.0426647 | − | 0.00643066i | ||||
\(256\) | −632156. | − | 792699.i | −0.602871 | − | 0.755977i | ||||
\(257\) | 1.08931e6 | 1.02877 | 0.514385 | − | 0.857559i | \(-0.328020\pi\) | ||||
0.514385 | + | 0.857559i | \(0.328020\pi\) | |||||||
\(258\) | 570374. | − | 2.14818e6i | 0.533470 | − | 2.00919i | ||||
\(259\) | 1.02956e6 | 0.953680 | ||||||||
\(260\) | 113273. | + | 142040.i | 0.103919 | + | 0.130310i | ||||
\(261\) | 484572. | + | 73037.5i | 0.440308 | + | 0.0663658i | ||||
\(262\) | −137850. | + | 603959.i | −0.124066 | + | 0.543568i | ||||
\(263\) | 593865. | + | 404890.i | 0.529417 | + | 0.360951i | 0.798336 | − | 0.602212i | \(-0.205714\pi\) |
−0.268919 | + | 0.963163i | \(0.586666\pi\) | |||||||
\(264\) | −462377. | − | 800860.i | −0.408306 | − | 0.707207i | ||||
\(265\) | −8164.99 | + | 14142.2i | −0.00714235 | + | 0.0123709i | ||||
\(266\) | −3.30789e6 | + | 1.59300e6i | −2.86647 | + | 1.38042i | ||||
\(267\) | 876067. | + | 270231.i | 0.752072 | + | 0.231983i | ||||
\(268\) | 230908. | + | 3.08125e6i | 0.196382 | + | 2.62054i | ||||
\(269\) | −389873. | − | 1.70815e6i | −0.328506 | − | 1.43928i | −0.821980 | − | 0.569517i | \(-0.807130\pi\) |
0.493474 | − | 0.869760i | \(-0.335727\pi\) | |||||||
\(270\) | −35749.3 | + | 91087.8i | −0.0298441 | + | 0.0760415i | ||||
\(271\) | 44007.8 | − | 587243.i | 0.0364004 | − | 0.485730i | −0.948977 | − | 0.315345i | \(-0.897880\pi\) |
0.985378 | − | 0.170385i | \(-0.0545011\pi\) | |||||||
\(272\) | 2.10992e6 | − | 318019.i | 1.72919 | − | 0.260634i | ||||
\(273\) | −1.91738e6 | − | 1.77907e6i | −1.55705 | − | 1.44473i | ||||
\(274\) | 2.83646e6 | + | 1.36597e6i | 2.28245 | + | 1.09917i | ||||
\(275\) | −286032. | + | 195013.i | −0.228077 | + | 0.155501i | ||||
\(276\) | −1.29575e6 | − | 3.30152e6i | −1.02388 | − | 2.60880i | ||||
\(277\) | 458377. | − | 141390.i | 0.358941 | − | 0.110719i | −0.110039 | − | 0.993927i | \(-0.535098\pi\) |
0.468980 | + | 0.883209i | \(0.344622\pi\) | |||||||
\(278\) | 1.10814e6 | − | 1.02821e6i | 0.859970 | − | 0.797936i | ||||
\(279\) | 134837. | − | 169081.i | 0.103705 | − | 0.130042i | ||||
\(280\) | 167728. | − | 210324.i | 0.127853 | − | 0.160322i | ||||
\(281\) | 1.30067e6 | − | 1.20685e6i | 0.982656 | − | 0.911772i | −0.0134519 | − | 0.999910i | \(-0.504282\pi\) |
0.996108 | + | 0.0881376i | \(0.0280915\pi\) | |||||||
\(282\) | 4.97348e6 | − | 1.53412e6i | 3.72424 | − | 1.14878i | ||||
\(283\) | 622297. | + | 1.58559e6i | 0.461883 | + | 1.17686i | 0.952244 | + | 0.305339i | \(0.0987696\pi\) |
−0.490361 | + | 0.871519i | \(0.663135\pi\) | |||||||
\(284\) | −1.01641e6 | + | 692974.i | −0.747776 | + | 0.509825i | ||||
\(285\) | 87155.6 | + | 41971.9i | 0.0635599 | + | 0.0306088i | ||||
\(286\) | 669900. | + | 621576.i | 0.484278 | + | 0.449344i | ||||
\(287\) | −3.26481e6 | + | 492090.i | −2.33966 | + | 0.352647i | ||||
\(288\) | −52035.4 | + | 694364.i | −0.0369673 | + | 0.493294i | ||||
\(289\) | −250666. | + | 638687.i | −0.176543 | + | 0.449825i | ||||
\(290\) | −53073.4 | − | 232530.i | −0.0370580 | − | 0.162362i | ||||
\(291\) | 37729.7 | + | 503468.i | 0.0261187 | + | 0.348529i | ||||
\(292\) | −1.84962e6 | − | 570533.i | −1.26948 | − | 0.391583i | ||||
\(293\) | −1.45130e6 | + | 698909.i | −0.987616 | + | 0.475611i | −0.856718 | − | 0.515785i | \(-0.827500\pi\) |
−0.130898 | + | 0.991396i | \(0.541786\pi\) | |||||||
\(294\) | −1.76074e6 | + | 3.04970e6i | −1.18803 | + | 2.05773i | ||||
\(295\) | 65470.1 | + | 113398.i | 0.0438014 | + | 0.0758662i | ||||
\(296\) | 2.12894e6 | + | 1.45149e6i | 1.41232 | + | 0.962906i | ||||
\(297\) | −77491.5 | + | 339513.i | −0.0509757 | + | 0.223339i | ||||
\(298\) | 1.01815e6 | + | 153462.i | 0.664159 | + | 0.100106i | ||||
\(299\) | 1.28189e6 | + | 1.60743e6i | 0.829224 | + | 1.03981i | ||||
\(300\) | 4.22732e6 | 2.71183 | ||||||||
\(301\) | 2.22129e6 | − | 600605.i | 1.41315 | − | 0.382096i | ||||
\(302\) | −4.40137e6 | −2.77697 | ||||||||
\(303\) | −231445. | − | 290222.i | −0.144824 | − | 0.181604i | ||||
\(304\) | −4.55569e6 | − | 686660.i | −2.82729 | − | 0.426145i | ||||
\(305\) | −16973.6 | + | 74366.4i | −0.0104478 | + | 0.0457749i | ||||
\(306\) | 474806. | + | 323717.i | 0.289876 | + | 0.197634i | ||||
\(307\) | −372438. | − | 645082.i | −0.225532 | − | 0.390633i | 0.730947 | − | 0.682434i | \(-0.239079\pi\) |
−0.956479 | + | 0.291801i | \(0.905745\pi\) | |||||||
\(308\) | 816041. | − | 1.41342e6i | 0.490157 | − | 0.848976i | ||||
\(309\) | −2.00429e6 | + | 965218.i | −1.19417 | + | 0.575081i | ||||
\(310\) | −100581. | − | 31025.0i | −0.0594443 | − | 0.0183361i | ||||
\(311\) | 79268.2 | + | 1.05776e6i | 0.0464727 | + | 0.620135i | 0.971009 | + | 0.239042i | \(0.0768333\pi\) |
−0.924537 | + | 0.381093i | \(0.875548\pi\) | |||||||
\(312\) | −1.45663e6 | − | 6.38193e6i | −0.847157 | − | 3.71164i | ||||
\(313\) | 552901. | − | 1.40877e6i | 0.318997 | − | 0.812791i | −0.677979 | − | 0.735081i | \(-0.737144\pi\) |
0.996976 | − | 0.0777096i | \(-0.0247607\pi\) | |||||||
\(314\) | 255282. | − | 3.40651e6i | 0.146116 | − | 1.94978i | ||||
\(315\) | 35921.1 | − | 5414.24i | 0.0203973 | − | 0.00307441i | ||||
\(316\) | −229252. | − | 212714.i | −0.129150 | − | 0.119834i | ||||
\(317\) | 806168. | + | 388230.i | 0.450585 | + | 0.216991i | 0.645393 | − | 0.763851i | \(-0.276694\pi\) |
−0.194807 | + | 0.980842i | \(0.562408\pi\) | |||||||
\(318\) | 828752. | − | 565033.i | 0.459575 | − | 0.313333i | ||||
\(319\) | −310112. | − | 790153.i | −0.170625 | − | 0.434745i | ||||
\(320\) | 96521.5 | − | 29773.0i | 0.0526926 | − | 0.0162535i | ||||
\(321\) | −979778. | + | 909101.i | −0.530719 | + | 0.492436i | ||||
\(322\) | 3.23578e6 | − | 4.05754e6i | 1.73916 | − | 2.18084i | ||||
\(323\) | −987782. | + | 1.23864e6i | −0.526811 | + | 0.660600i | ||||
\(324\) | 4.00166e6 | − | 3.71300e6i | 2.11776 | − | 1.96500i | ||||
\(325\) | −2.34167e6 | + | 722310.i | −1.22975 | + | 0.379328i | ||||
\(326\) | −862074. | − | 2.19653e6i | −0.449263 | − | 1.14470i | ||||
\(327\) | −1.30946e6 | + | 892773.i | −0.677208 | + | 0.461712i | ||||
\(328\) | −7.44476e6 | − | 3.58521e6i | −3.82090 | − | 1.84005i | ||||
\(329\) | 3.94998e6 | + | 3.66505e6i | 2.01190 | + | 1.86677i | ||||
\(330\) | −60099.5 | + | 9058.54i | −0.0303799 | + | 0.00457903i | ||||
\(331\) | 119650. | − | 1.59661e6i | 0.0600263 | − | 0.800995i | −0.883232 | − | 0.468936i | \(-0.844637\pi\) |
0.943258 | − | 0.332059i | \(-0.107743\pi\) | |||||||
\(332\) | 226216. | − | 576388.i | 0.112636 | − | 0.286992i | ||||
\(333\) | 77425.0 | + | 339221.i | 0.0382623 | + | 0.167638i | ||||
\(334\) | 306835. | + | 4.09443e6i | 0.150501 | + | 2.00829i | ||||
\(335\) | 113835. | + | 35113.6i | 0.0554199 | + | 0.0170948i | ||||
\(336\) | −7.46455e6 | + | 3.59474e6i | −3.60708 | + | 1.73708i | ||||
\(337\) | −1.96898e6 | + | 3.41038e6i | −0.944424 | + | 1.63579i | −0.187524 | + | 0.982260i | \(0.560046\pi\) |
−0.756900 | + | 0.653531i | \(0.773287\pi\) | |||||||
\(338\) | 1.29260e6 | + | 2.23886e6i | 0.615423 | + | 1.06594i | ||||
\(339\) | 196947. | + | 134276.i | 0.0930787 | + | 0.0634600i | ||||
\(340\) | 44034.1 | − | 192926.i | 0.0206582 | − | 0.0905093i | ||||
\(341\) | −370414. | − | 55830.9i | −0.172505 | − | 0.0260009i | ||||
\(342\) | −773622. | − | 970091.i | −0.357654 | − | 0.448484i | ||||
\(343\) | −456105. | −0.209329 | ||||||||
\(344\) | 5.43995e6 | + | 1.88966e6i | 2.47856 | + | 0.860968i | ||||
\(345\) | −136739. | −0.0618509 | ||||||||
\(346\) | −2.10830e6 | − | 2.64373e6i | −0.946766 | − | 1.18721i | ||||
\(347\) | 2.37509e6 | + | 357988.i | 1.05891 | + | 0.159604i | 0.655330 | − | 0.755342i | \(-0.272529\pi\) |
0.403575 | + | 0.914947i | \(0.367768\pi\) | |||||||
\(348\) | −2.30647e6 | + | 1.01053e7i | −1.02094 | + | 4.47303i | ||||
\(349\) | −416762. | − | 284144.i | −0.183158 | − | 0.124875i | 0.468270 | − | 0.883585i | \(-0.344877\pi\) |
−0.651428 | + | 0.758711i | \(0.725830\pi\) | |||||||
\(350\) | 3.09287e6 | + | 5.35700e6i | 1.34956 | + | 2.33750i | ||||
\(351\) | −1.23256e6 | + | 2.13485e6i | −0.533998 | + | 0.924911i | ||||
\(352\) | 1.08667e6 | − | 523312.i | 0.467456 | − | 0.225115i | ||||
\(353\) | −1.90079e6 | − | 586315.i | −0.811889 | − | 0.250435i | −0.139109 | − | 0.990277i | \(-0.544424\pi\) |
−0.672780 | + | 0.739843i | \(0.734900\pi\) | |||||||
\(354\) | −601038. | − | 8.02029e6i | −0.254914 | − | 3.40159i | ||||
\(355\) | 10553.7 | + | 46238.6i | 0.00444460 | + | 0.0194731i | ||||
\(356\) | −1.47943e6 | + | 3.76952e6i | −0.618683 | + | 1.57638i | ||||
\(357\) | −212907. | + | 2.84104e6i | −0.0884135 | + | 1.17980i | ||||
\(358\) | −1.43604e6 | + | 216448.i | −0.592186 | + | 0.0892577i | ||||
\(359\) | −424221. | − | 393619.i | −0.173722 | − | 0.161191i | 0.588520 | − | 0.808483i | \(-0.299711\pi\) |
−0.762242 | + | 0.647292i | \(0.775901\pi\) | |||||||
\(360\) | 81911.2 | + | 39446.4i | 0.0333110 | + | 0.0160417i | ||||
\(361\) | 780503. | − | 532138.i | 0.315215 | − | 0.214910i | ||||
\(362\) | −1.97136e6 | − | 5.02294e6i | −0.790668 | − | 2.01459i | ||||
\(363\) | 2.49039e6 | − | 768182.i | 0.991974 | − | 0.305983i | ||||
\(364\) | 8.46896e6 | − | 7.85805e6i | 3.35025 | − | 3.10857i | ||||
\(365\) | −46528.5 | + | 58344.9i | −0.0182805 | + | 0.0229230i | ||||
\(366\) | 2.92124e6 | − | 3.66312e6i | 1.13989 | − | 1.42938i | ||||
\(367\) | −3.04214e6 | + | 2.82269e6i | −1.17900 | + | 1.09395i | −0.185208 | + | 0.982699i | \(0.559296\pi\) |
−0.993792 | + | 0.111253i | \(0.964514\pi\) | |||||||
\(368\) | 6.22306e6 | − | 1.91956e6i | 2.39544 | − | 0.738894i | ||||
\(369\) | −407654. | − | 1.03869e6i | −0.155857 | − | 0.397117i | ||||
\(370\) | 139922. | − | 95397.2i | 0.0531351 | − | 0.0362269i | ||||
\(371\) | 935605. | + | 450563.i | 0.352905 | + | 0.169950i | ||||
\(372\) | 3.35317e6 | + | 3.11129e6i | 1.25632 | + | 1.16569i | ||||
\(373\) | −4.67865e6 | + | 705193.i | −1.74120 | + | 0.262443i | −0.941271 | − | 0.337652i | \(-0.890367\pi\) |
−0.799928 | + | 0.600096i | \(0.795129\pi\) | |||||||
\(374\) | 74385.9 | − | 992610.i | 0.0274987 | − | 0.366944i | ||||
\(375\) | 119257. | − | 303862.i | 0.0437932 | − | 0.111583i | ||||
\(376\) | 3.00080e6 | + | 1.31474e7i | 1.09463 | + | 4.79589i | ||||
\(377\) | −449024. | − | 5.99181e6i | −0.162711 | − | 2.17122i | ||||
\(378\) | 5.94607e6 | + | 1.83412e6i | 2.14043 | + | 0.660234i | ||||
\(379\) | 2.92928e6 | − | 1.41067e6i | 1.04752 | − | 0.504460i | 0.170724 | − | 0.985319i | \(-0.445389\pi\) |
0.876798 | + | 0.480859i | \(0.159675\pi\) | |||||||
\(380\) | −213637. | + | 370031.i | −0.0758958 | + | 0.131455i | ||||
\(381\) | −1.73115e6 | − | 2.99844e6i | −0.610974 | − | 1.05824i | ||||
\(382\) | 2.76721e6 | + | 1.88665e6i | 0.970250 | + | 0.661505i | ||||
\(383\) | 493424. | − | 2.16183e6i | 0.171879 | − | 0.753052i | −0.813345 | − | 0.581782i | \(-0.802356\pi\) |
0.985224 | − | 0.171270i | \(-0.0547871\pi\) | |||||||
\(384\) | −114580. | − | 17270.1i | −0.0396533 | − | 0.00597677i | ||||
\(385\) | −39232.1 | − | 49195.5i | −0.0134893 | − | 0.0169151i | ||||
\(386\) | 6.17994e6 | 2.11113 | ||||||||
\(387\) | 364933. | + | 686706.i | 0.123861 | + | 0.233074i | ||||
\(388\) | −2.23002e6 | −0.752021 | ||||||||
\(389\) | −452853. | − | 567859.i | −0.151734 | − | 0.190268i | 0.700155 | − | 0.713991i | \(-0.253114\pi\) |
−0.851889 | + | 0.523723i | \(0.824543\pi\) | |||||||
\(390\) | −425426. | − | 64122.7i | −0.141632 | − | 0.0213477i | ||||
\(391\) | 498323. | − | 2.18330e6i | 0.164842 | − | 0.722222i | ||||
\(392\) | −7.53878e6 | − | 5.13985e6i | −2.47791 | − | 1.68941i | ||||
\(393\) | −518975. | − | 898891.i | −0.169498 | − | 0.293579i | ||||
\(394\) | −181995. | + | 315224.i | −0.0590634 | + | 0.102301i | ||||
\(395\) | −10863.2 | + | 5231.45i | −0.00350321 | + | 0.00168705i | ||||
\(396\) | 527064. | + | 162578.i | 0.168898 | + | 0.0520983i | ||||
\(397\) | 194266. | + | 2.59230e6i | 0.0618615 | + | 0.825484i | 0.938708 | + | 0.344714i | \(0.112024\pi\) |
−0.876846 | + | 0.480771i | \(0.840357\pi\) | |||||||
\(398\) | 1.90695e6 | + | 8.35490e6i | 0.603437 | + | 2.64383i | ||||
\(399\) | 2.24740e6 | − | 5.72629e6i | 0.706722 | − | 1.80070i | ||||
\(400\) | −580066. | + | 7.74045e6i | −0.181271 | + | 2.41889i | ||||
\(401\) | 3.66008e6 | − | 551668.i | 1.13666 | − | 0.171323i | 0.446362 | − | 0.894852i | \(-0.352719\pi\) |
0.690294 | + | 0.723529i | \(0.257481\pi\) | |||||||
\(402\) | −5.36391e6 | − | 4.97698e6i | −1.65545 | − | 1.53604i | ||||
\(403\) | −2.38907e6 | − | 1.15051e6i | −0.732767 | − | 0.352882i | ||||
\(404\) | 1.35470e6 | − | 923622.i | 0.412944 | − | 0.281540i | ||||
\(405\) | −76890.8 | − | 195915.i | −0.0232936 | − | 0.0593512i | ||||
\(406\) | −1.44933e7 | + | 4.47059e6i | −4.36367 | + | 1.34601i | ||||
\(407\) | 441804. | − | 409934.i | 0.132204 | − | 0.122667i | ||||
\(408\) | −4.44558e6 | + | 5.57458e6i | −1.32214 | + | 1.65791i | ||||
\(409\) | 581377. | − | 729024.i | 0.171850 | − | 0.215493i | −0.688446 | − | 0.725287i | \(-0.741707\pi\) |
0.860297 | + | 0.509794i | \(0.170278\pi\) | |||||||
\(410\) | −398106. | + | 369388.i | −0.116960 | + | 0.108523i | ||||
\(411\) | −5.04049e6 | + | 1.55478e6i | −1.47186 | + | 0.454010i | ||||
\(412\) | −3.58981e6 | − | 9.14669e6i | −1.04191 | − | 2.65473i | ||||
\(413\) | 6.87980e6 | − | 4.69057e6i | 1.98473 | − | 1.35316i | ||||
\(414\) | 1.58022e6 | + | 760993.i | 0.453123 | + | 0.218213i | ||||
\(415\) | −17499.7 | − | 16237.3i | −0.00498780 | − | 0.00462800i | ||||
\(416\) | 8.44235e6 | − | 1.27248e6i | 2.39183 | − | 0.360510i | ||||
\(417\) | −189277. | + | 2.52572e6i | −0.0533037 | + | 0.711289i | ||||
\(418\) | −785203. | + | 2.00067e6i | −0.219807 | + | 0.560059i | ||||
\(419\) | −259338. | − | 1.13623e6i | −0.0721657 | − | 0.316179i | 0.925942 | − | 0.377665i | \(-0.123273\pi\) |
−0.998108 | + | 0.0614867i | \(0.980416\pi\) | |||||||
\(420\) | 57420.2 | + | 766219.i | 0.0158833 | + | 0.211948i | ||||
\(421\) | −1.50274e6 | − | 463533.i | −0.413216 | − | 0.127460i | 0.0811750 | − | 0.996700i | \(-0.474133\pi\) |
−0.494391 | + | 0.869240i | \(0.664609\pi\) | |||||||
\(422\) | −9.76448e6 | + | 4.70233e6i | −2.66912 | + | 1.28538i | ||||
\(423\) | −910518. | + | 1.57706e6i | −0.247422 | + | 0.428547i | ||||
\(424\) | 1.29945e6 | + | 2.25071e6i | 0.351029 | + | 0.608001i | ||||
\(425\) | 2.20540e6 | + | 1.50362e6i | 0.592264 | + | 0.403799i | ||||
\(426\) | 648241. | − | 2.84013e6i | 0.173066 | − | 0.758253i | ||||
\(427\) | 4.79649e6 | + | 722954.i | 1.27307 | + | 0.191885i | ||||
\(428\) | −3.68081e6 | − | 4.61559e6i | −0.971257 | − | 1.21792i | ||||
\(429\) | −1.53115e6 | −0.401674 | ||||||||
\(430\) | 246232. | − | 287445.i | 0.0642205 | − | 0.0749694i | ||||
\(431\) | −2.62682e6 | −0.681140 | −0.340570 | − | 0.940219i | \(-0.610620\pi\) | ||||
−0.340570 | + | 0.940219i | \(0.610620\pi\) | |||||||
\(432\) | 4.86840e6 | + | 6.10478e6i | 1.25510 | + | 1.57384i | ||||
\(433\) | 3.65679e6 | + | 551173.i | 0.937304 | + | 0.141276i | 0.599892 | − | 0.800081i | \(-0.295210\pi\) |
0.337412 | + | 0.941357i | \(0.390448\pi\) | |||||||
\(434\) | −1.48942e6 | + | 6.52559e6i | −0.379572 | + | 1.66301i | ||||
\(435\) | 330182. | + | 225114.i | 0.0836624 | + | 0.0570400i | ||||
\(436\) | −3.50007e6 | − | 6.06230e6i | −0.881781 | − | 1.52729i | ||||
\(437\) | −2.41768e6 | + | 4.18754e6i | −0.605613 | + | 1.04895i | ||||
\(438\) | 4.12984e6 | − | 1.98882e6i | 1.02860 | − | 0.495349i | ||||
\(439\) | 3.12011e6 | + | 962426.i | 0.772695 | + | 0.238345i | 0.655937 | − | 0.754815i | \(-0.272274\pi\) |
0.116758 | + | 0.993160i | \(0.462750\pi\) | |||||||
\(440\) | −11768.3 | − | 157037.i | −0.00289789 | − | 0.0386697i | ||||
\(441\) | −274169. | − | 1.20121e6i | −0.0671309 | − | 0.294120i | ||||
\(442\) | 2.57423e6 | − | 6.55902e6i | 0.626746 | − | 1.59692i | ||||
\(443\) | 366616. | − | 4.89215e6i | 0.0887569 | − | 1.18438i | −0.757948 | − | 0.652315i | \(-0.773798\pi\) |
0.846705 | − | 0.532063i | \(-0.178583\pi\) | |||||||
\(444\) | −7.27735e6 | + | 1.09688e6i | −1.75193 | + | 0.264060i | ||||
\(445\) | 114446. | + | 106190.i | 0.0273968 | + | 0.0254205i | ||||
\(446\) | −1.10872e7 | − | 5.33932e6i | −2.63928 | − | 1.27101i | ||||
\(447\) | −1.42540e6 | + | 971823.i | −0.337418 | + | 0.230048i | ||||
\(448\) | −2.34669e6 | − | 5.97927e6i | −0.552409 | − | 1.40752i | ||||
\(449\) | −889661. | + | 274424.i | −0.208261 | + | 0.0642401i | −0.397131 | − | 0.917762i | \(-0.629994\pi\) |
0.188869 | + | 0.982002i | \(0.439518\pi\) | |||||||
\(450\) | −1.53244e6 | + | 1.42190e6i | −0.356741 | + | 0.331007i | ||||
\(451\) | −1.20506e6 | + | 1.51109e6i | −0.278975 | + | 0.349824i | ||||
\(452\) | −656440. | + | 823149.i | −0.151129 | + | 0.189510i | ||||
\(453\) | 5.40585e6 | − | 5.01590e6i | 1.23771 | − | 1.14843i | ||||
\(454\) | −7.26058e6 | + | 2.23959e6i | −1.65322 | + | 0.509952i | ||||
\(455\) | −162729. | − | 414626.i | −0.0368499 | − | 0.0938919i | ||||
\(456\) | 1.27202e7 | − | 8.67248e6i | 2.86472 | − | 1.95313i | ||||
\(457\) | −2.72075e6 | − | 1.31024e6i | −0.609394 | − | 0.293468i | 0.103622 | − | 0.994617i | \(-0.466957\pi\) |
−0.713015 | + | 0.701148i | \(0.752671\pi\) | |||||||
\(458\) | 2.62940e6 | + | 2.43973e6i | 0.585724 | + | 0.543472i | ||||
\(459\) | 2.65509e6 | − | 400190.i | 0.588230 | − | 0.0886614i | ||||
\(460\) | 45134.7 | − | 602281.i | 0.00994526 | − | 0.132710i | ||||
\(461\) | −762659. | + | 1.94322e6i | −0.167139 | + | 0.425864i | −0.989763 | − | 0.142723i | \(-0.954414\pi\) |
0.822624 | + | 0.568586i | \(0.192509\pi\) | |||||||
\(462\) | 860036. | + | 3.76806e6i | 0.187461 | + | 0.821322i | ||||
\(463\) | 613003. | + | 8.17996e6i | 0.132896 | + | 1.77337i | 0.522745 | + | 0.852489i | \(0.324908\pi\) |
−0.389849 | + | 0.920879i | \(0.627473\pi\) | |||||||
\(464\) | −1.81869e7 | − | 5.60991e6i | −3.92160 | − | 1.20965i | ||||
\(465\) | 158892. | − | 76518.3i | 0.0340776 | − | 0.0164109i | ||||
\(466\) | 5.77315e6 | − | 9.99940e6i | 1.23154 | − | 2.13309i | ||||
\(467\) | −1.17333e6 | − | 2.03227e6i | −0.248960 | − | 0.431211i | 0.714278 | − | 0.699862i | \(-0.246755\pi\) |
−0.963237 | + | 0.268652i | \(0.913422\pi\) | |||||||
\(468\) | 3.22596e6 | + | 2.19942e6i | 0.680839 | + | 0.464188i | ||||
\(469\) | 1.68571e6 | − | 7.38556e6i | 0.353875 | − | 1.55043i | ||||
\(470\) | 876417. | + | 132099.i | 0.183006 | + | 0.0275838i | ||||
\(471\) | 3.56858e6 | + | 4.47486e6i | 0.741214 | + | 0.929453i | ||||
\(472\) | 2.08389e7 | 4.30547 | ||||||||
\(473\) | 714057. | − | 1.14217e6i | 0.146751 | − | 0.234734i | ||||
\(474\) | 740597. | 0.151404 | ||||||||
\(475\) | −3.59335e6 | − | 4.50592e6i | −0.730745 | − | 0.916326i | ||||
\(476\) | −1.24433e7 | − | 1.87553e6i | −2.51721 | − | 0.379409i | ||||
\(477\) | −78092.9 | + | 342147.i | −0.0157150 | + | 0.0688521i | ||||
\(478\) | 3.78757e6 | + | 2.58232e6i | 0.758213 | + | 0.516941i | ||||
\(479\) | 2.74285e6 | + | 4.75075e6i | 0.546214 | + | 0.946071i | 0.998529 | + | 0.0542126i | \(0.0172649\pi\) |
−0.452315 | + | 0.891858i | \(0.649402\pi\) | |||||||
\(480\) | −283913. | + | 491751.i | −0.0562447 | + | 0.0974187i | ||||
\(481\) | 3.84378e6 | − | 1.85106e6i | 0.757522 | − | 0.364803i | ||||
\(482\) | −3.67249e6 | − | 1.13281e6i | −0.720017 | − | 0.222096i | ||||
\(483\) | 649810. | + | 8.67111e6i | 0.126741 | + | 1.69125i | ||||
\(484\) | 2.56150e6 | + | 1.12227e7i | 0.497029 | + | 2.17763i | ||||
\(485\) | −31410.8 | + | 80033.3i | −0.00606351 | + | 0.0154496i | ||||
\(486\) | −370657. | + | 4.94607e6i | −0.0711838 | + | 0.949882i | ||||
\(487\) | −4.62027e6 | + | 696394.i | −0.882765 | + | 0.133055i | −0.574753 | − | 0.818327i | \(-0.694902\pi\) |
−0.308012 | + | 0.951383i | \(0.599664\pi\) | |||||||
\(488\) | 8.89901e6 | + | 8.25707e6i | 1.69158 | + | 1.56956i | ||||
\(489\) | 3.56203e6 | + | 1.71538e6i | 0.673636 | + | 0.324406i | ||||
\(490\) | −495477. | + | 337811.i | −0.0932253 | + | 0.0635599i | ||||
\(491\) | −1.81764e6 | − | 4.63127e6i | −0.340255 | − | 0.866955i | −0.993913 | − | 0.110165i | \(-0.964862\pi\) |
0.653659 | − | 0.756790i | \(-0.273233\pi\) | |||||||
\(492\) | 2.25527e7 | − | 6.95658e6i | 4.20035 | − | 1.29564i | ||||
\(493\) | −4.79765e6 | + | 4.45157e6i | −0.889020 | + | 0.824890i | ||||
\(494\) | −9.48564e6 | + | 1.18946e7i | −1.74884 | + | 2.19297i | ||||
\(495\) | 13258.7 | − | 16625.8i | 0.00243213 | − | 0.00304980i | ||||
\(496\) | −6.15706e6 | + | 5.71291e6i | −1.12375 | + | 1.04269i | ||||
\(497\) | 2.88200e6 | − | 888978.i | 0.523362 | − | 0.161436i | ||||
\(498\) | 535706. | + | 1.36496e6i | 0.0967950 | + | 0.246630i | ||||
\(499\) | −4.58953e6 | + | 3.12909e6i | −0.825120 | + | 0.562557i | −0.900630 | − | 0.434588i | \(-0.856894\pi\) |
0.0755094 | + | 0.997145i | \(0.475942\pi\) | |||||||
\(500\) | 1.29902e6 | + | 625577.i | 0.232376 | + | 0.111907i | ||||
\(501\) | −5.04296e6 | − | 4.67918e6i | −0.897617 | − | 0.832867i | ||||
\(502\) | 7.27597e6 | − | 1.09668e6i | 1.28864 | − | 0.194231i | ||||
\(503\) | 229712. | − | 3.06529e6i | 0.0404822 | − | 0.540197i | −0.939687 | − | 0.342035i | \(-0.888884\pi\) |
0.980169 | − | 0.198162i | \(-0.0634971\pi\) | |||||||
\(504\) | 2.11217e6 | − | 5.38172e6i | 0.370384 | − | 0.943724i | ||||
\(505\) | −14066.3 | − | 61628.6i | −0.00245444 | − | 0.0107536i | ||||
\(506\) | −227032. | − | 3.02953e6i | −0.0394195 | − | 0.526017i | ||||
\(507\) | −4.13905e6 | − | 1.27673e6i | −0.715123 | − | 0.220586i | ||||
\(508\) | 1.37783e7 | − | 6.63529e6i | 2.36885 | − | 1.14078i | ||||
\(509\) | 3.07291e6 | − | 5.32243e6i | 0.525720 | − | 0.910574i | −0.473831 | − | 0.880616i | \(-0.657129\pi\) |
0.999551 | − | 0.0299584i | \(-0.00953749\pi\) | |||||||
\(510\) | 234311. | + | 405838.i | 0.0398902 | + | 0.0690919i | ||||
\(511\) | 3.92096e6 | + | 2.67326e6i | 0.664263 | + | 0.452887i | ||||
\(512\) | −2.40697e6 | + | 1.05456e7i | −0.405784 | + | 1.77786i | ||||
\(513\) | −5.73281e6 | − | 864082.i | −0.961777 | − | 0.144964i | ||||
\(514\) | −7.10405e6 | − | 8.90820e6i | −1.18604 | − | 1.48724i | ||||
\(515\) | −378830. | −0.0629399 | ||||||||
\(516\) | −1.50611e7 | + | 6.61185e6i | −2.49018 | + | 1.09320i | ||||
\(517\) | 3.15430e6 | 0.519011 | ||||||||
\(518\) | −6.71439e6 | − | 8.41958e6i | −1.09947 | − | 1.37869i | ||||
\(519\) | 5.60230e6 | + | 844412.i | 0.912953 | + | 0.137606i | ||||
\(520\) | 248052. | − | 1.08679e6i | 0.0402285 | − | 0.176253i | ||||
\(521\) | 6.18380e6 | + | 4.21604e6i | 0.998070 | + | 0.680473i | 0.947999 | − | 0.318273i | \(-0.103103\pi\) |
0.0500710 | + | 0.998746i | \(0.484055\pi\) | |||||||
\(522\) | −2.56290e6 | − | 4.43907e6i | −0.411676 | − | 0.713043i | ||||
\(523\) | −2.45042e6 | + | 4.24425e6i | −0.391730 | + | 0.678495i | −0.992678 | − | 0.120792i | \(-0.961456\pi\) |
0.600948 | + | 0.799288i | \(0.294790\pi\) | |||||||
\(524\) | 4.13055e6 | − | 1.98917e6i | 0.657172 | − | 0.316477i | ||||
\(525\) | −9.90368e6 | − | 3.05488e6i | −1.56819 | − | 0.483722i | ||||
\(526\) | −561827. | − | 7.49706e6i | −0.0885398 | − | 1.18148i | ||||
\(527\) | 642701. | + | 2.81586e6i | 0.100805 | + | 0.441656i | ||||
\(528\) | −1.77188e6 | + | 4.51468e6i | −0.276599 | + | 0.704762i | ||||
\(529\) | 29789.9 | − | 397519.i | 0.00462839 | − | 0.0617616i | ||||
\(530\) | 168901. | − | 25457.8i | 0.0261182 | − | 0.00393669i | ||||
\(531\) | 2.06283e6 | + | 1.91402e6i | 0.317487 | + | 0.294585i | ||||
\(532\) | 2.44801e7 | + | 1.17890e7i | 3.75003 | + | 1.80592i | ||||
\(533\) | −1.13041e7 | + | 7.70702e6i | −1.72353 | + | 1.17508i | ||||
\(534\) | −3.50346e6 | − | 8.92667e6i | −0.531672 | − | 1.35468i | ||||
\(535\) | −217495. | + | 67088.2i | −0.0328522 | + | 0.0101336i | ||||
\(536\) | 1.38980e7 | − | 1.28954e7i | 2.08948 | − | 1.93876i | ||||
\(537\) | 1.51710e6 | − | 1.90238e6i | 0.227028 | − | 0.284684i | ||||
\(538\) | −1.14263e7 | + | 1.43282e7i | −1.70197 | + | 2.13420i | ||||
\(539\) | −1.56447e6 | + | 1.45162e6i | −0.231950 | + | 0.215219i | ||||
\(540\) | 691983. | − | 213449.i | 0.102120 | − | 0.0314999i | ||||
\(541\) | 1.04929e6 | + | 2.67355e6i | 0.154135 | + | 0.392731i | 0.986994 | − | 0.160754i | \(-0.0513927\pi\) |
−0.832859 | + | 0.553485i | \(0.813297\pi\) | |||||||
\(542\) | −5.08938e6 | + | 3.46988e6i | −0.744160 | + | 0.507360i | ||||
\(543\) | 8.14551e6 | + | 3.92267e6i | 1.18555 | + | 0.570930i | ||||
\(544\) | −6.81704e6 | − | 6.32528e6i | −0.987639 | − | 0.916395i | ||||
\(545\) | −266870. | + | 40224.2i | −0.0384865 | + | 0.00580091i | ||||
\(546\) | −2.04454e6 | + | 2.72824e7i | −0.293503 | + | 3.91653i | ||||
\(547\) | 2.00905e6 | − | 5.11898e6i | 0.287093 | − | 0.731501i | −0.712463 | − | 0.701710i | \(-0.752420\pi\) |
0.999556 | − | 0.0297918i | \(-0.00948441\pi\) | |||||||
\(548\) | −5.18443e6 | − | 2.27145e7i | −0.737479 | − | 3.23110i | ||||
\(549\) | 122505. | + | 1.63472e6i | 0.0173470 | + | 0.231479i | ||||
\(550\) | 3.46017e6 | + | 1.06732e6i | 0.487743 | + | 0.150449i | ||||
\(551\) | 1.27319e7 | − | 6.13135e6i | 1.78654 | − | 0.860354i | ||||
\(552\) | −1.08809e7 | + | 1.88463e7i | −1.51991 | + | 2.63257i | ||||
\(553\) | 383368. | + | 664012.i | 0.0533093 | + | 0.0923344i | ||||
\(554\) | −4.14562e6 | − | 2.82644e6i | −0.573872 | − | 0.391259i | ||||
\(555\) | −63138.3 | + | 276627.i | −0.00870082 | + | 0.0381208i | ||||
\(556\) | −1.10623e7 | − | 1.66737e6i | −1.51760 | − | 0.228742i | ||||
\(557\) | 3.74025e6 | + | 4.69013e6i | 0.510814 | + | 0.640541i | 0.968630 | − | 0.248506i | \(-0.0799397\pi\) |
−0.457816 | + | 0.889047i | \(0.651368\pi\) | |||||||
\(558\) | −2.26207e6 | −0.307553 | ||||||||
\(559\) | 7.21315e6 | − | 6.23600e6i | 0.976327 | − | 0.844066i | ||||
\(560\) | −1.41087e6 | −0.190115 | ||||||||
\(561\) | 1.03984e6 | + | 1.30392e6i | 0.139495 | + | 0.174921i | ||||
\(562\) | −1.83519e7 | − | 2.76610e6i | −2.45098 | − | 0.369425i | ||||
\(563\) | 2.81498e6 | − | 1.23332e7i | 0.374287 | − | 1.63986i | −0.340304 | − | 0.940316i | \(-0.610530\pi\) |
0.714591 | − | 0.699543i | \(-0.246613\pi\) | |||||||
\(564\) | −3.18248e7 | − | 2.16977e7i | −4.21277 | − | 2.87221i | ||||
\(565\) | 20295.8 | + | 35153.4i | 0.00267476 | + | 0.00463282i | ||||
\(566\) | 8.90830e6 | − | 1.54296e7i | 1.16884 | − | 2.02448i | ||||
\(567\) | −1.20582e7 | + | 5.80693e6i | −1.57516 | + | 0.758558i | ||||
\(568\) | 7.21272e6 | + | 2.22483e6i | 0.938055 | + | 0.289352i | ||||
\(569\) | −777888. | − | 1.03802e7i | −0.100725 | − | 1.34408i | −0.787097 | − | 0.616829i | \(-0.788417\pi\) |
0.686372 | − | 0.727250i | \(-0.259202\pi\) | |||||||
\(570\) | −225155. | − | 986469.i | −0.0290265 | − | 0.127173i | ||||
\(571\) | −4.07470e6 | + | 1.03822e7i | −0.523005 | + | 1.33259i | 0.388554 | + | 0.921426i | \(0.372975\pi\) |
−0.911559 | + | 0.411169i | \(0.865121\pi\) | |||||||
\(572\) | 505398. | − | 6.74407e6i | 0.0645867 | − | 0.861850i | ||||
\(573\) | −5.54881e6 | + | 836348.i | −0.706014 | + | 0.106414i | ||||
\(574\) | 2.53160e7 | + | 2.34898e7i | 3.20712 | + | 2.97578i | ||||
\(575\) | 7.33988e6 | + | 3.53470e6i | 0.925804 | + | 0.445844i | ||||
\(576\) | 1.79358e6 | − | 1.22284e6i | 0.225250 | − | 0.153573i | ||||
\(577\) | 3.43120e6 | + | 8.74255e6i | 0.429049 | + | 1.09320i | 0.968020 | + | 0.250874i | \(0.0807179\pi\) |
−0.538971 | + | 0.842324i | \(0.681187\pi\) | |||||||
\(578\) | 6.85783e6 | − | 2.11536e6i | 0.853821 | − | 0.263369i | ||||
\(579\) | −7.59032e6 | + | 7.04279e6i | −0.940943 | + | 0.873068i | ||||
\(580\) | −1.10052e6 | + | 1.38001e6i | −0.135840 | + | 0.170338i | ||||
\(581\) | −946501. | + | 1.18687e6i | −0.116327 | + | 0.145870i | ||||
\(582\) | 3.87122e6 | − | 3.59197e6i | 0.473740 | − | 0.439567i | ||||
\(583\) | 580883. | − | 179179.i | 0.0707811 | − | 0.0218331i | ||||
\(584\) | 4.33901e6 | + | 1.10556e7i | 0.526452 | + | 1.34138i | ||||
\(585\) | 124374. | − | 84796.8i | 0.0150259 | − | 0.0102445i | ||||
\(586\) | 1.51804e7 | + | 7.31049e6i | 1.82616 | + | 0.879432i | ||||
\(587\) | 449682. | + | 417244.i | 0.0538654 | + | 0.0499798i | 0.706646 | − | 0.707567i | \(-0.250207\pi\) |
−0.652781 | + | 0.757547i | \(0.726398\pi\) | |||||||
\(588\) | 2.57698e7 | − | 3.88417e6i | 3.07374 | − | 0.463292i | ||||
\(589\) | 466039. | − | 6.21886e6i | 0.0553521 | − | 0.738623i | ||||
\(590\) | 500376. | − | 1.27494e6i | 0.0591789 | − | 0.150785i | ||||
\(591\) | −135707. | − | 594570.i | −0.0159820 | − | 0.0700219i | ||||
\(592\) | −1.00987e6 | − | 1.34757e7i | −0.118429 | − | 1.58033i | ||||
\(593\) | −3.87872e6 | − | 1.19643e6i | −0.452952 | − | 0.139717i | 0.0598811 | − | 0.998206i | \(-0.480928\pi\) |
−0.512833 | + | 0.858488i | \(0.671404\pi\) | |||||||
\(594\) | 3.28185e6 | − | 1.58045e6i | 0.381639 | − | 0.183787i | ||||
\(595\) | −242580. | + | 420162.i | −0.0280907 | + | 0.0486546i | ||||
\(596\) | −3.80999e6 | − | 6.59909e6i | −0.439347 | − | 0.760971i | ||||
\(597\) | −1.18636e7 | − | 8.08845e6i | −1.36232 | − | 0.928816i | ||||
\(598\) | 4.78538e6 | − | 2.09661e7i | 0.547222 | − | 2.39754i | ||||
\(599\) | −4.53765e6 | − | 683941.i | −0.516730 | − | 0.0778846i | −0.114500 | − | 0.993423i | \(-0.536527\pi\) |
−0.402230 | + | 0.915539i | \(0.631765\pi\) | |||||||
\(600\) | −1.61721e7 | − | 2.02792e7i | −1.83396 | − | 2.29971i | ||||
\(601\) | −81689.2 | −0.00922525 | −0.00461263 | − | 0.999989i | \(-0.501468\pi\) | ||||
−0.00461263 | + | 0.999989i | \(0.501468\pi\) | |||||||
\(602\) | −1.93980e7 | − | 1.42484e7i | −2.18156 | − | 1.60242i | ||||
\(603\) | 2.56017e6 | 0.286732 | ||||||||
\(604\) | 2.03086e7 | + | 2.54662e7i | 2.26510 | + | 2.84035i | ||||
\(605\) | 438851. | + | 66146.1i | 0.0487448 | + | 0.00734710i | ||||
\(606\) | −864000. | + | 3.78543e6i | −0.0955724 | + | 0.418730i | ||||
\(607\) | −5.68725e6 | − | 3.87750e6i | −0.626514 | − | 0.427150i | 0.208006 | − | 0.978128i | \(-0.433303\pi\) |
−0.834520 | + | 0.550978i | \(0.814255\pi\) | |||||||
\(608\) | 1.00397e7 | + | 1.73892e7i | 1.10144 | + | 1.90775i | ||||
\(609\) | 1.27062e7 | − | 2.20077e7i | 1.38826 | − | 2.40454i | ||||
\(610\) | 718852. | − | 346181.i | 0.0782195 | − | 0.0376685i | ||||
\(611\) | 2.13364e7 | + | 6.58140e6i | 2.31216 | + | 0.713206i | ||||
\(612\) | −317811. | − | 4.24089e6i | −0.0342997 | − | 0.457697i | ||||
\(613\) | 1.24851e6 | + | 5.47007e6i | 0.134196 | + | 0.587952i | 0.996648 | + | 0.0818123i | \(0.0260708\pi\) |
−0.862452 | + | 0.506140i | \(0.831072\pi\) | |||||||
\(614\) | −2.84648e6 | + | 7.25271e6i | −0.304710 | + | 0.776389i | ||||
\(615\) | 67998.7 | − | 907379.i | 0.00724958 | − | 0.0967389i | ||||
\(616\) | −9.90232e6 | + | 1.49253e6i | −1.05144 | + | 0.158479i | ||||
\(617\) | −1.14658e7 | − | 1.06387e7i | −1.21252 | − | 1.12506i | −0.988618 | − | 0.150447i | \(-0.951929\pi\) |
−0.223906 | − | 0.974611i | \(-0.571881\pi\) | |||||||
\(618\) | 2.09646e7 | + | 1.00960e7i | 2.20808 | + | 1.06336i | ||||
\(619\) | −4.17691e6 | + | 2.84777e6i | −0.438156 | + | 0.298730i | −0.762235 | − | 0.647300i | \(-0.775898\pi\) |
0.324079 | + | 0.946030i | \(0.394946\pi\) | |||||||
\(620\) | 284585. | + | 725110.i | 0.0297326 | + | 0.0757574i | ||||
\(621\) | 7.83101e6 | − | 2.41555e6i | 0.814870 | − | 0.251354i | ||||
\(622\) | 8.13323e6 | − | 7.54654e6i | 0.842922 | − | 0.782117i | ||||
\(623\) | 6.19002e6 | − | 7.76204e6i | 0.638957 | − | 0.801227i | ||||
\(624\) | −2.14052e7 | + | 2.68413e7i | −2.20069 | + | 2.75957i | ||||
\(625\) | −7.09756e6 | + | 6.58557e6i | −0.726790 | + | 0.674362i | ||||
\(626\) | −1.51265e7 | + | 4.66590e6i | −1.54277 | + | 0.475882i | ||||
\(627\) | −1.31560e6 | − | 3.35209e6i | −0.133646 | − | 0.340523i | ||||
\(628\) | −2.08878e7 | + | 1.42411e7i | −2.11346 | + | 1.44093i | ||||
\(629\) | −4.18676e6 | − | 2.01624e6i | −0.421940 | − | 0.203196i | ||||
\(630\) | −278540. | − | 258448.i | −0.0279600 | − | 0.0259431i | ||||
\(631\) | −1.49944e7 | + | 2.26005e6i | −1.49919 | + | 0.225967i | −0.846798 | − | 0.531914i | \(-0.821473\pi\) |
−0.652393 | + | 0.757881i | \(0.726235\pi\) | |||||||
\(632\) | −143399. | + | 1.91353e6i | −0.0142808 | + | 0.190565i | ||||
\(633\) | 6.63405e6 | − | 1.69033e7i | 0.658066 | − | 1.67673i | ||||
\(634\) | −2.08263e6 | − | 9.12459e6i | −0.205773 | − | 0.901551i | ||||
\(635\) | −44060.8 | − | 587951.i | −0.00433629 | − | 0.0578638i | ||||
\(636\) | −7.09325e6 | − | 2.18798e6i | −0.695349 | − | 0.214487i | ||||
\(637\) | −1.36112e7 | + | 6.55480e6i | −1.32907 | + | 0.640046i | ||||
\(638\) | −4.43931e6 | + | 7.68912e6i | −0.431782 | + | 0.747868i | ||||
\(639\) | 509633. | + | 882711.i | 0.0493748 | + | 0.0855197i | ||||
\(640\) | −16303.6 | − | 11115.6i | −0.00157338 | − | 0.00107271i | ||||
\(641\) | −2.34101e6 | + | 1.02566e7i | −0.225039 | + | 0.985962i | 0.728583 | + | 0.684957i | \(0.240179\pi\) |
−0.953623 | + | 0.301005i | \(0.902678\pi\) | |||||||
\(642\) | 1.38242e7 | + | 2.08366e6i | 1.32374 | + | 0.199522i | ||||
\(643\) | −376411. | − | 472004.i | −0.0359033 | − | 0.0450213i | 0.763556 | − | 0.645742i | \(-0.223452\pi\) |
−0.799459 | + | 0.600721i | \(0.794880\pi\) | |||||||
\(644\) | −3.84072e7 | −3.64920 | ||||||||
\(645\) | 25151.8 | + | 633657.i | 0.00238051 | + | 0.0599729i | ||||
\(646\) | 1.65713e7 | 1.56234 | ||||||||
\(647\) | 5.03397e6 | + | 6.31240e6i | 0.472770 | + | 0.592835i | 0.959847 | − | 0.280524i | \(-0.0905083\pi\) |
−0.487077 | + | 0.873359i | \(0.661937\pi\) | |||||||
\(648\) | −3.31208e7 | − | 4.99216e6i | −3.09858 | − | 0.467036i | ||||
\(649\) | 1.08463e6 | − | 4.75209e6i | 0.101081 | − | 0.442867i | ||||
\(650\) | 2.11784e7 | + | 1.44392e7i | 1.96612 | + | 1.34048i | ||||
\(651\) | −5.60737e6 | − | 9.71224e6i | −0.518569 | − | 0.898188i | ||||
\(652\) | −8.73130e6 | + | 1.51231e7i | −0.804377 | + | 1.39322i | ||||
\(653\) | −5.85179e6 | + | 2.81807e6i | −0.537039 | + | 0.258624i | −0.682685 | − | 0.730713i | \(-0.739188\pi\) |
0.145647 | + | 0.989337i | \(0.453474\pi\) | |||||||
\(654\) | 1.58407e7 | + | 4.88621e6i | 1.44821 | + | 0.446713i | ||||
\(655\) | −13208.8 | − | 176259.i | −0.00120299 | − | 0.0160527i | ||||
\(656\) | 9.64323e6 | + | 4.22497e7i | 0.874909 | + | 3.83323i | ||||
\(657\) | −585927. | + | 1.49292e6i | −0.0529578 | + | 0.134934i | ||||
\(658\) | 4.21193e6 | − | 5.62043e7i | 0.379242 | − | 5.06063i | ||||
\(659\) | 1.06249e6 | − | 160145.i | 0.0953044 | − | 0.0143648i | −0.101217 | − | 0.994864i | \(-0.532274\pi\) |
0.196521 | + | 0.980500i | \(0.437036\pi\) | |||||||
\(660\) | 329721. | + | 305936.i | 0.0294636 | + | 0.0273383i | ||||
\(661\) | −9.18551e6 | − | 4.42351e6i | −0.817711 | − | 0.393789i | −0.0222190 | − | 0.999753i | \(-0.507073\pi\) |
−0.795492 | + | 0.605964i | \(0.792787\pi\) | |||||||
\(662\) | −1.38372e7 | + | 9.43402e6i | −1.22716 | + | 0.836665i | ||||
\(663\) | 4.31309e6 | + | 1.09896e7i | 0.381070 | + | 0.970950i | ||||
\(664\) | −3.63046e6 | + | 1.11985e6i | −0.319552 | + | 0.0985686i | ||||
\(665\) | 767908. | − | 712515.i | 0.0673372 | − | 0.0624798i | ||||
\(666\) | 2.26916e6 | − | 2.84544e6i | 0.198235 | − | 0.248578i | ||||
\(667\) | −1.24543e7 | + | 1.56172e7i | −1.08394 | + | 1.35922i | ||||
\(668\) | 2.22744e7 | − | 2.06677e7i | 1.93137 | − | 1.79205i | ||||
\(669\) | 1.97023e7 | − | 6.07737e6i | 1.70197 | − | 0.524989i | ||||
\(670\) | −455237. | − | 1.15992e6i | −0.0391787 | − | 0.0998258i | ||||
\(671\) | 2.34612e6 | − | 1.59955e6i | 0.201161 | − | 0.137149i | ||||
\(672\) | 3.25328e7 | + | 1.56670e7i | 2.77906 | + | 1.33833i | ||||
\(673\) | −9.16330e6 | − | 8.50230e6i | −0.779856 | − | 0.723601i | 0.186037 | − | 0.982543i | \(-0.440436\pi\) |
−0.965893 | + | 0.258942i | \(0.916626\pi\) | |||||||
\(674\) | 4.07304e7 | − | 6.13913e6i | 3.45358 | − | 0.520543i | ||||
\(675\) | −729947. | + | 9.74046e6i | −0.0616640 | + | 0.822849i | ||||
\(676\) | 6.98967e6 | − | 1.78094e7i | 0.588288 | − | 1.49893i | ||||
\(677\) | 1.56115e6 | + | 6.83985e6i | 0.130910 | + | 0.573555i | 0.997251 | + | 0.0741011i | \(0.0236088\pi\) |
−0.866341 | + | 0.499454i | \(0.833534\pi\) | |||||||
\(678\) | −186322. | − | 2.48630e6i | −0.0155665 | − | 0.207720i | ||||
\(679\) | 5.22445e6 | + | 1.61153e6i | 0.434877 | + | 0.134142i | ||||
\(680\) | −1.09396e6 | + | 526823.i | −0.0907254 | + | 0.0436910i | ||||
\(681\) | 6.36530e6 | − | 1.10250e7i | 0.525958 | − | 0.910986i | ||||
\(682\) | 1.95912e6 | + | 3.39329e6i | 0.161287 | + | 0.279357i | ||||
\(683\) | −4.54107e6 | − | 3.09605e6i | −0.372483 | − | 0.253955i | 0.362581 | − | 0.931952i | \(-0.381896\pi\) |
−0.735064 | + | 0.677998i | \(0.762848\pi\) | |||||||
\(684\) | −2.04330e6 | + | 8.95230e6i | −0.166991 | + | 0.731635i | ||||
\(685\) | −888224. | − | 133878.i | −0.0723263 | − | 0.0109014i | ||||
\(686\) | 2.97454e6 | + | 3.72996e6i | 0.241329 | + | 0.302617i | ||||
\(687\) | −6.00984e6 | −0.485815 | ||||||||
\(688\) | −1.00400e7 | − | 2.84849e7i | −0.808654 | − | 2.29426i | ||||
\(689\) | 4.30307e6 | 0.345327 | ||||||||
\(690\) | 891761. | + | 1.11823e6i | 0.0713059 | + | 0.0894148i | ||||
\(691\) | −1.40219e7 | − | 2.11346e6i | −1.11715 | − | 0.168383i | −0.435590 | − | 0.900145i | \(-0.643460\pi\) |
−0.681560 | + | 0.731762i | \(0.738698\pi\) | |||||||
\(692\) | −5.56848e6 | + | 2.43971e7i | −0.442050 | + | 1.93675i | ||||
\(693\) | −1.11731e6 | − | 761768.i | −0.0883772 | − | 0.0602545i | ||||
\(694\) | −1.25619e7 | − | 2.17578e7i | −0.990046 | − | 1.71481i | ||||
\(695\) | −215657. | + | 373529.i | −0.0169357 | + | 0.0293334i | ||||
\(696\) | 5.73007e7 | − | 2.75946e7i | 4.48370 | − | 2.15924i | ||||
\(697\) | 1.42402e7 | + | 4.39251e6i | 1.11028 | + | 0.342476i | ||||
\(698\) | 394279. | + | 5.26129e6i | 0.0306313 | + | 0.408746i | ||||
\(699\) | 4.30482e6 | + | 1.88607e7i | 0.333244 | + | 1.46004i | ||||
\(700\) | 1.67245e7 | − | 4.26133e7i | 1.29005 | − | 3.28700i | ||||
\(701\) | −1.54853e6 | + | 2.06637e7i | −0.119021 | + | 1.58823i | 0.543648 | + | 0.839313i | \(0.317043\pi\) |
−0.662669 | + | 0.748912i | \(0.730577\pi\) | |||||||
\(702\) | 2.54967e7 | − | 3.84301e6i | 1.95273 | − | 0.294326i | ||||
\(703\) | 7.35515e6 | + | 6.82458e6i | 0.561311 | + | 0.520820i | ||||
\(704\) | −3.38774e6 | − | 1.63145e6i | −0.257619 | − | 0.124063i | ||||
\(705\) | −1.22697e6 | + | 836537.i | −0.0929743 | + | 0.0633888i | ||||
\(706\) | 7.60139e6 | + | 1.93680e7i | 0.573960 | + | 1.46243i | ||||
\(707\) | −3.84123e6 | + | 1.18486e6i | −0.289016 | + | 0.0891496i | ||||
\(708\) | −4.36319e7 | + | 4.04844e7i | −3.27130 | + | 3.03532i | ||||
\(709\) | −8.31613e6 | + | 1.04281e7i | −0.621306 | + | 0.779093i | −0.988528 | − | 0.151040i | \(-0.951738\pi\) |
0.367221 | + | 0.930134i | \(0.380309\pi\) | |||||||
\(710\) | 309305. | − | 387856.i | 0.0230272 | − | 0.0288752i | ||||
\(711\) | −189950. | + | 176247.i | −0.0140917 | + | 0.0130752i | ||||
\(712\) | 2.37428e7 | − | 7.32368e6i | 1.75522 | − | 0.541414i | ||||
\(713\) | 3.22058e6 | + | 8.20590e6i | 0.237252 | + | 0.604508i | ||||
\(714\) | 2.46221e7 | − | 1.67870e7i | 1.80750 | − | 1.23233i | ||||
\(715\) | −234919. | − | 113131.i | −0.0171851 | − | 0.00827593i | ||||
\(716\) | 7.87846e6 | + | 7.31014e6i | 0.574326 | + | 0.532897i | ||||
\(717\) | −7.59484e6 | + | 1.14474e6i | −0.551723 | + | 0.0831588i | ||||
\(718\) | −452353. | + | 6.03624e6i | −0.0327466 | + | 0.436974i | ||||
\(719\) | 1.08206e6 | − | 2.75703e6i | 0.0780598 | − | 0.198893i | −0.886517 | − | 0.462697i | \(-0.846882\pi\) |
0.964576 | + | 0.263804i | \(0.0849771\pi\) | |||||||
\(720\) | −106100. | − | 464854.i | −0.00762753 | − | 0.0334184i | ||||
\(721\) | 1.80026e6 | + | 2.40229e7i | 0.128973 | + | 1.72102i | ||||
\(722\) | −9.44187e6 | − | 2.91243e6i | −0.674085 | − | 0.207928i | ||||
\(723\) | 5.80160e6 | − | 2.79390e6i | 0.412764 | − | 0.198777i | ||||
\(724\) | −1.99664e7 | + | 3.45828e7i | −1.41564 | + | 2.45197i | ||||
\(725\) | −1.19043e7 | − | 2.06188e7i | −0.841120 | − | 1.45686i | ||||
\(726\) | −2.25234e7 | − | 1.53562e7i | −1.58596 | − | 1.08129i | ||||
\(727\) | −300648. | + | 1.31723e6i | −0.0210971 | + | 0.0924324i | −0.984380 | − | 0.176055i | \(-0.943666\pi\) |
0.963283 | + | 0.268487i | \(0.0865236\pi\) | |||||||
\(728\) | −7.00956e7 | − | 1.05652e7i | −4.90187 | − | 0.738839i | ||||
\(729\) | 5.50307e6 | + | 6.90063e6i | 0.383519 | + | 0.480917i | ||||
\(730\) | 780576. | 0.0542136 | ||||||||
\(731\) | −1.02092e7 | − | 1.90766e6i | −0.706637 | − | 0.132041i | ||||
\(732\) | −3.46737e7 | −2.39179 | ||||||||
\(733\) | −6.02564e6 | − | 7.55591e6i | −0.414231 | − | 0.519430i | 0.530318 | − | 0.847799i | \(-0.322072\pi\) |
−0.944550 | + | 0.328369i | \(0.893501\pi\) | |||||||
\(734\) | 4.29232e7 | + | 6.46962e6i | 2.94070 | + | 0.443240i | ||||
\(735\) | 223579. | − | 979562.i | 0.0152655 | − | 0.0668827i | ||||
\(736\) | −2.34511e7 | − | 1.59887e7i | −1.59577 | − | 1.08797i | ||||
\(737\) | −2.21729e6 | − | 3.84047e6i | −0.150368 | − | 0.260444i | ||||
\(738\) | −5.83564e6 | + | 1.01076e7i | −0.394410 | + | 0.683138i | ||||
\(739\) | 8.27899e6 | − | 3.98695e6i | 0.557656 | − | 0.268553i | −0.133755 | − | 0.991014i | \(-0.542704\pi\) |
0.691411 | + | 0.722462i | \(0.256989\pi\) | |||||||
\(740\) | −1.19759e6 | − | 369407.i | −0.0803947 | − | 0.0247985i | ||||
\(741\) | −1.90491e6 | − | 2.54192e7i | −0.127447 | − | 1.70066i | ||||
\(742\) | −2.41701e6 | − | 1.05896e7i | −0.161164 | − | 0.706107i | ||||
\(743\) | −883182. | + | 2.25031e6i | −0.0586919 | + | 0.149545i | −0.957212 | − | 0.289388i | \(-0.906548\pi\) |
0.898520 | + | 0.438933i | \(0.144643\pi\) | |||||||
\(744\) | 2.09744e6 | − | 2.79884e7i | 0.138918 | − | 1.85373i | ||||
\(745\) | −290500. | + | 43785.8i | −0.0191759 | + | 0.00289030i | ||||
\(746\) | 3.62793e7 | + | 3.36622e7i | 2.38677 | + | 2.21460i | ||||
\(747\) | −462232. | − | 222599.i | −0.0303081 | − | 0.0145956i | ||||
\(748\) | −6.08644e6 | + | 4.14966e6i | −0.397749 | + | 0.271181i | ||||
\(749\) | 5.28787e6 | + | 1.34733e7i | 0.344410 | + | 0.877543i | ||||
\(750\) | −3.26268e6 | + | 1.00640e6i | −0.211798 | + | 0.0653310i | ||||
\(751\) | 1.35120e7 | − | 1.25373e7i | 0.874218 | − | 0.811155i | −0.108915 | − | 0.994051i | \(-0.534738\pi\) |
0.983132 | + | 0.182896i | \(0.0585471\pi\) | |||||||
\(752\) | 4.40967e7 | − | 5.52955e7i | 2.84355 | − | 3.56570i | ||||
\(753\) | −7.68670e6 | + | 9.63881e6i | −0.494029 | + | 0.619493i | ||||
\(754\) | −4.60717e7 | + | 4.27483e7i | −2.95125 | + | 2.73836i | ||||
\(755\) | 1.20001e6 | − | 370154.i | 0.0766157 | − | 0.0236328i | ||||
\(756\) | −1.68239e7 | − | 4.28667e7i | −1.07059 | − | 2.72782i | ||||
\(757\) | 1.10998e7 | − | 7.56772e6i | 0.704005 | − | 0.479982i | −0.157638 | − | 0.987497i | \(-0.550388\pi\) |
0.861643 | + | 0.507515i | \(0.169436\pi\) | |||||||
\(758\) | −3.06398e7 | − | 1.47554e7i | −1.93693 | − | 0.932775i | ||||
\(759\) | 3.73137e6 | + | 3.46220e6i | 0.235106 | + | 0.218146i | ||||
\(760\) | 2.59240e6 | − | 390742.i | 0.162805 | − | 0.0245389i | ||||
\(761\) | −1.21863e6 | + | 1.62615e7i | −0.0762799 | + | 1.01788i | 0.819411 | + | 0.573207i | \(0.194301\pi\) |
−0.895691 | + | 0.444678i | \(0.853318\pi\) | |||||||
\(762\) | −1.32309e7 | + | 3.37117e7i | −0.825470 | + | 2.10326i | ||||
\(763\) | 3.81897e6 | + | 1.67320e7i | 0.237484 | + | 1.04049i | ||||
\(764\) | −1.85223e6 | − | 2.47163e7i | −0.114805 | − | 1.53197i | ||||
\(765\) | −156678. | − | 48328.7i | −0.00967953 | − | 0.00298574i | ||||
\(766\) | −2.08970e7 | + | 1.00635e7i | −1.28680 | + | 0.619692i | ||||
\(767\) | 1.72519e7 | − | 2.98811e7i | 1.05888 | − | 1.83404i | ||||
\(768\) | −8.88447e6 | − | 1.53884e7i | −0.543536 | − | 0.941433i | ||||
\(769\) | 3.04387e6 | + | 2.07527e6i | 0.185614 | + | 0.126549i | 0.652562 | − | 0.757735i | \(-0.273694\pi\) |
−0.466948 | + | 0.884285i | \(0.654647\pi\) | |||||||
\(770\) | −146456. | + | 641668.i | −0.00890188 | + | 0.0390017i | ||||
\(771\) | 1.88773e7 | + | 2.84530e6i | 1.14368 | + | 0.172382i | ||||
\(772\) | −2.85152e7 | − | 3.57569e7i | −1.72200 | − | 2.15932i | ||||
\(773\) | −4.18799e6 | −0.252091 | −0.126045 | − | 0.992024i | \(-0.540229\pi\) | ||||
−0.126045 | + | 0.992024i | \(0.540229\pi\) | |||||||
\(774\) | 3.23582e6 | − | 7.46279e6i | 0.194147 | − | 0.447764i | ||||
\(775\) | −1.05070e7 | −0.628381 | ||||||||
\(776\) | 8.53123e6 | + | 1.06978e7i | 0.508578 | + | 0.637737i | ||||
\(777\) | 1.78419e7 | + | 2.68923e6i | 1.06020 | + | 0.159800i | ||||
\(778\) | −1.69053e6 | + | 7.40671e6i | −0.100132 | + | 0.438709i | ||||
\(779\) | −2.65856e7 | − | 1.81257e7i | −1.56965 | − | 1.07017i | ||||
\(780\) | 1.59197e6 | + | 2.75737e6i | 0.0936911 | + | 0.162278i | ||||
\(781\) | 882759. | − | 1.52898e6i | 0.0517863 | − | 0.0896964i | ||||
\(782\) | −2.11045e7 | + | 1.01634e7i | −1.23412 | + | 0.594322i | ||||
\(783\) | −2.28861e7 | − | 7.05942e6i | −1.33403 | − | 0.411495i | ||||
\(784\) | 3.57603e6 | + | 4.77189e7i | 0.207784 | + | 2.77268i | ||||
\(785\) | 216885. | + | 950235.i | 0.0125619 | + | 0.0550373i | ||||
\(786\) | −3.96643e6 | + | 1.01063e7i | −0.229004 | + | 0.583493i | ||||
\(787\) | −1.29777e6 | + | 1.73175e7i | −0.0746896 | + | 0.996663i | 0.826415 | + | 0.563061i | \(0.190377\pi\) |
−0.901105 | + | 0.433602i | \(0.857243\pi\) | |||||||
\(788\) | 2.66363e6 | − | 401477.i | 0.152812 | − | 0.0230327i | ||||
\(789\) | 9.23386e6 | + | 8.56777e6i | 0.528069 | + | 0.489977i | ||||
\(790\) | 113628. | + | 54720.1i | 0.00647763 | + | 0.00311946i | ||||
\(791\) | 2.13274e6 | − | 1.45408e6i | 0.121199 | − | 0.0826318i | ||||
\(792\) | −1.23644e6 | − | 3.15039e6i | −0.0700420 | − | 0.178464i | ||||
\(793\) | 1.92071e7 | − | 5.92460e6i | 1.08462 | − | 0.334561i | ||||
\(794\) | 1.99325e7 | − | 1.84946e7i | 1.12204 | − | 1.04110i | ||||
\(795\) | −178436. | + | 223751.i | −0.0100130 | + | 0.0125559i | ||||
\(796\) | 3.95422e7 | − | 4.95844e7i | 2.21197 | − | 2.77372i | ||||
\(797\) | −1.84182e7 | + | 1.70896e7i | −1.02707 | + | 0.952985i | −0.998913 | − | 0.0466187i | \(-0.985155\pi\) |
−0.0281605 | + | 0.999603i | \(0.508965\pi\) | |||||||
\(798\) | −6.14853e7 | + | 1.89657e7i | −3.41794 | + | 1.05429i | ||||
\(799\) | −8.88535e6 | − | 2.26395e7i | −0.492388 | − | 1.25459i | ||||
\(800\) | 2.79515e7 | − | 1.90570e7i | 1.54412 | − | 1.05276i | ||||
\(801\) | 3.02295e6 | + | 1.45577e6i | 0.166475 | + | 0.0801702i | ||||
\(802\) | −2.83810e7 | − | 2.63337e7i | −1.55809 | − | 1.44569i | ||||
\(803\) | 2.74695e6 | − | 414037.i | 0.150336 | − | 0.0226595i | ||||
\(804\) | −4.04674e6 | + | 5.40000e7i | −0.220783 | + | 2.94614i | ||||
\(805\) | −540980. | + | 1.37839e6i | −0.0294233 | + | 0.0749694i | ||||
\(806\) | 6.17184e6 | + | 2.70406e7i | 0.334639 | + | 1.46615i | ||||
\(807\) | −2.29464e6 | − | 3.06199e7i | −0.124031 | − | 1.65508i | ||||
\(808\) | −9.61338e6 | − | 2.96534e6i | −0.518021 | − | 0.159788i | ||||
\(809\) | 3.10075e7 | − | 1.49324e7i | 1.66570 | − | 0.802157i | 0.667345 | − | 0.744748i | \(-0.267431\pi\) |
0.998351 | − | 0.0574085i | \(-0.0182838\pi\) | |||||||
\(810\) | −1.10071e6 | + | 1.90648e6i | −0.0589466 | + | 0.102099i | ||||
\(811\) | 9.16562e6 | + | 1.58753e7i | 0.489339 | + | 0.847560i | 0.999925 | − | 0.0122669i | \(-0.00390476\pi\) |
−0.510586 | + | 0.859827i | \(0.670571\pi\) | |||||||
\(812\) | 9.27410e7 | + | 6.32297e7i | 4.93607 | + | 3.36536i | ||||
\(813\) | 2.29653e6 | − | 1.00617e7i | 0.121855 | − | 0.533884i | ||||
\(814\) | −6.23364e6 | − | 939571.i | −0.329747 | − | 0.0497014i | ||||
\(815\) | 419768. | + | 526372.i | 0.0221368 | + | 0.0277587i | ||||
\(816\) | 3.73947e7 | 1.96600 | ||||||||
\(817\) | 1.98500e7 | + | 1.04334e7i | 1.04041 | + | 0.546853i | ||||
\(818\) | −9.75336e6 | −0.509649 | ||||||||
\(819\) | −5.96830e6 | − | 7.48401e6i | −0.310914 | − | 0.389874i | ||||
\(820\) | 3.97419e6 | + | 599012.i | 0.206402 | + | 0.0311101i | ||||
\(821\) | −2.20863e6 | + | 9.67662e6i | −0.114357 | + | 0.501033i | 0.885013 | + | 0.465565i | \(0.154149\pi\) |
−0.999371 | + | 0.0354671i | \(0.988708\pi\) | |||||||
\(822\) | 4.55868e7 | + | 3.10806e7i | 2.35321 | + | 1.60439i | ||||
\(823\) | 4.61316e6 | + | 7.99022e6i | 0.237410 | + | 0.411206i | 0.959970 | − | 0.280102i | \(-0.0903683\pi\) |
−0.722561 | + | 0.691308i | \(0.757035\pi\) | |||||||
\(824\) | −3.01451e7 | + | 5.22128e7i | −1.54667 | + | 2.67892i | ||||
\(825\) | −5.46619e6 | + | 2.63238e6i | −0.279608 | + | 0.134652i | ||||
\(826\) | −8.32260e7 | − | 2.56718e7i | −4.24433 | − | 1.30920i | ||||
\(827\) | −1.32306e6 | − | 1.76550e7i | −0.0672691 | − | 0.897644i | −0.924126 | − | 0.382089i | \(-0.875205\pi\) |
0.856857 | − | 0.515555i | \(-0.172414\pi\) | |||||||
\(828\) | −2.88829e6 | − | 1.26544e7i | −0.146408 | − | 0.641456i | ||||
\(829\) | −1.01357e6 | + | 2.58253e6i | −0.0512232 | + | 0.130515i | −0.954195 | − | 0.299185i | \(-0.903285\pi\) |
0.902972 | + | 0.429699i | \(0.141381\pi\) | |||||||
\(830\) | −18660.2 | + | 249003.i | −0.000940200 | + | 0.0125461i | ||||
\(831\) | 8.31280e6 | − | 1.25295e6i | 0.417585 | − | 0.0629408i | ||||
\(832\) | −1.95114e7 | − | 1.81039e7i | −0.977192 | − | 0.906702i | ||||
\(833\) | 1.48257e7 | + | 7.13969e6i | 0.740292 | + | 0.356506i | ||||
\(834\) | 2.18894e7 | − | 1.49239e7i | 1.08973 | − | 0.742964i | ||||
\(835\) | −427997. | − | 1.09052e6i | −0.0212434 | − | 0.0541274i | ||||
\(836\) | 1.51988e7 | − | 4.68822e6i | 0.752133 | − | 0.232002i | ||||
\(837\) | −7.74795e6 | + | 7.18904e6i | −0.382272 | + | 0.354697i | ||||
\(838\) | −7.60063e6 | + | 9.53089e6i | −0.373886 | + | 0.468839i | ||||
\(839\) | −4.04617e6 | + | 5.07374e6i | −0.198445 | + | 0.248842i | −0.871090 | − | 0.491123i | \(-0.836587\pi\) |
0.672645 | + | 0.739965i | \(0.265158\pi\) | |||||||
\(840\) | 3.45602e6 | − | 3.20672e6i | 0.168997 | − | 0.156806i | ||||
\(841\) | 3.61840e7 | − | 1.11613e7i | 1.76411 | − | 0.544157i | ||||
\(842\) | 6.00956e6 | + | 1.53121e7i | 0.292121 | + | 0.744311i | ||||
\(843\) | 2.56924e7 | − | 1.75168e7i | 1.24519 | − | 0.848957i | ||||
\(844\) | 7.22623e7 | + | 3.47997e7i | 3.49185 | + | 1.68159i | ||||
\(845\) | −540709. | − | 501705.i | −0.0260508 | − | 0.0241716i | ||||
\(846\) | 1.88350e7 | − | 2.83892e6i | 0.904774 | − | 0.136373i | ||||
\(847\) | 2.10905e6 | − | 2.81434e7i | 0.101013 | − | 1.34793i | ||||
\(848\) | 4.97963e6 | − | 1.26879e7i | 0.237798 | − | 0.605898i | ||||
\(849\) | 6.64258e6 | + | 2.91030e7i | 0.316277 | + | 1.38570i | ||||
\(850\) | −2.08642e6 | − | 2.78414e7i | −0.0990502 | − | 1.32173i | ||||
\(851\) | −1.35528e7 | − | 4.18048e6i | −0.641512 | − | 0.197880i | ||||
\(852\) | −1.94240e7 | + | 9.35410e6i | −0.916725 | + | 0.441472i | ||||
\(853\) | 8.42610e6 | − | 1.45944e7i | 0.396510 | − | 0.686775i | −0.596783 | − | 0.802403i | \(-0.703555\pi\) |
0.993293 | + | 0.115628i | \(0.0368879\pi\) | |||||||
\(854\) | −2.53686e7 | − | 4.39397e7i | −1.19029 | − | 2.06164i | ||||
\(855\) | 292508. | + | 199429.i | 0.0136843 | + | 0.00932981i | ||||
\(856\) | −8.06043e6 | + | 3.53151e7i | −0.375988 | + | 1.64731i | ||||
\(857\) | −1.00285e7 | − | 1.51156e6i | −0.466429 | − | 0.0703029i | −0.0883769 | − | 0.996087i | \(-0.528168\pi\) |
−0.378052 | + | 0.925784i | \(0.623406\pi\) | |||||||
\(858\) | 9.98553e6 | + | 1.25215e7i | 0.463077 | + | 0.580680i | ||||
\(859\) | −2.26191e7 | −1.04590 | −0.522952 | − | 0.852362i | \(-0.675169\pi\) | ||||
−0.522952 | + | 0.852362i | \(0.675169\pi\) | |||||||
\(860\) | −2.79930e6 | − | 98373.3i | −0.129064 | − | 0.00453556i | ||||
\(861\) | −5.78631e7 | −2.66008 | ||||||||
\(862\) | 1.71311e7 | + | 2.14817e7i | 0.785265 | + | 0.984691i | ||||
\(863\) | 2.03084e6 | + | 306100.i | 0.0928217 | + | 0.0139906i | 0.195289 | − | 0.980746i | \(-0.437436\pi\) |
−0.102467 | + | 0.994736i | \(0.532674\pi\) | |||||||
\(864\) | 7.57261e6 | − | 3.31778e7i | 0.345113 | − | 1.51204i | ||||
\(865\) | 797154. | + | 543491.i | 0.0362245 | + | 0.0246974i | ||||
\(866\) | −1.93408e7 | − | 3.34992e7i | −0.876353 | − | 1.51789i | ||||
\(867\) | −6.01221e6 | + | 1.04135e7i | −0.271635 | + | 0.470486i | ||||
\(868\) | 4.46293e7 | − | 2.14923e7i | 2.01058 | − | 0.968243i | ||||
\(869\) | 428896. | + | 132297.i | 0.0192665 | + | 0.00594292i | ||||
\(870\) | −312369. | − | 4.16828e6i | −0.0139917 | − | 0.186706i | ||||
\(871\) | −6.98518e6 | − | 3.06041e7i | −0.311984 | − | 1.36689i | ||||
\(872\) | −1.56920e7 | + | 3.99826e7i | −0.698856 | + | 1.78066i | ||||
\(873\) | −138080. | + | 1.84255e6i | −0.00613190 | + | 0.0818245i | ||||
\(874\) | 5.00122e7 | − | 7.53813e6i | 2.21461 | − | 0.333799i | ||||
\(875\) | −2.59125e6 | − | 2.40433e6i | −0.114417 | − | 0.106163i | ||||
\(876\) | −3.05630e7 | − | 1.47183e7i | −1.34566 | − | 0.648036i | ||||
\(877\) | −1.35049e7 | + | 9.20747e6i | −0.592914 | + | 0.404242i | −0.822268 | − | 0.569101i | \(-0.807291\pi\) |
0.229353 | + | 0.973343i | \(0.426339\pi\) | |||||||
\(878\) | −1.24776e7 | − | 3.17923e7i | −0.546252 | − | 1.39183i | ||||
\(879\) | −2.69760e7 | + | 8.32100e6i | −1.17762 | + | 0.363248i | ||||
\(880\) | −605429. | + | 561756.i | −0.0263546 | + | 0.0244535i | ||||
\(881\) | 2.21466e7 | − | 2.77710e7i | 0.961319 | − | 1.20546i | −0.0173157 | − | 0.999850i | \(-0.505512\pi\) |
0.978635 | − | 0.205606i | \(-0.0659165\pi\) | |||||||
\(882\) | −8.03531e6 | + | 1.00760e7i | −0.347801 | + | 0.436129i | ||||
\(883\) | 3.08449e7 | − | 2.86199e7i | 1.33132 | − | 1.23528i | 0.380785 | − | 0.924663i | \(-0.375654\pi\) |
0.950534 | − | 0.310620i | \(-0.100537\pi\) | |||||||
\(884\) | −4.98282e7 | + | 1.53700e7i | −2.14459 | + | 0.661518i | ||||
\(885\) | 838374. | + | 2.13614e6i | 0.0359816 | + | 0.0916795i | ||||
\(886\) | −4.23981e7 | + | 2.89066e7i | −1.81452 | + | 1.23712i | ||||
\(887\) | −1.29551e7 | − | 6.23887e6i | −0.552883 | − | 0.266254i | 0.136514 | − | 0.990638i | \(-0.456410\pi\) |
−0.689397 | + | 0.724384i | \(0.742124\pi\) | |||||||
\(888\) | 3.31024e7 | + | 3.07145e7i | 1.40873 | + | 1.30711i | ||||
\(889\) | −3.70746e7 | + | 5.58809e6i | −1.57334 | + | 0.237142i | ||||
\(890\) | 122036. | − | 1.62845e6i | 0.00516430 | − | 0.0689128i | ||||
\(891\) | −2.86229e6 | + | 7.29300e6i | −0.120787 | + | 0.307760i | ||||
\(892\) | 2.02650e7 | + | 8.87867e7i | 0.852775 | + | 3.73625i | ||||
\(893\) | 3.92429e6 | + | 5.23660e7i | 0.164677 | + | 2.19746i | ||||
\(894\) | 1.72433e7 | + | 5.31886e6i | 0.721568 | + | 0.222574i | ||||
\(895\) | 373325. | − | 179784.i | 0.0155786 | − | 0.00750228i | ||||
\(896\) | −627400. | + | 1.08669e6i | −0.0261081 | + | 0.0452205i | ||||
\(897\) | 1.80159e7 | + | 3.12045e7i | 0.747611 | + | 1.29490i | ||||
\(898\) | 8.04621e6 | + | 5.48582e6i | 0.332967 | + | 0.227013i | ||||
\(899\) | 5.73271e6 | − | 2.51166e7i | 0.236571 | − | 1.03648i | ||||
\(900\) | 1.52980e7 | + | 2.30580e6i | 0.629547 | + | 0.0948889i | ||||
\(901\) | −2.92232e6 | − | 3.66447e6i | −0.119927 | − | 0.150383i | ||||
\(902\) | 2.02164e7 | 0.827345 | ||||||||
\(903\) | 4.00628e7 | − | 4.60621e6i | 1.63502 | − | 0.187986i | ||||
\(904\) | 6.46009e6 | 0.262916 | ||||||||
\(905\) | 959909. | + | 1.20369e6i | 0.0389591 | + | 0.0488531i | ||||
\(906\) | −7.62740e7 | − | 1.14965e7i | −3.08714 | − | 0.465311i | ||||
\(907\) | 3.41734e6 | − | 1.49723e7i | 0.137934 | − | 0.604326i | −0.857954 | − | 0.513727i | \(-0.828265\pi\) |
0.995887 | − | 0.0905996i | \(-0.0288784\pi\) | |||||||
\(908\) | 4.64596e7 | + | 3.16756e7i | 1.87008 | + | 1.27500i | ||||
\(909\) | −679258. | − | 1.17651e6i | −0.0272662 | − | 0.0472265i | ||||
\(910\) | −2.32949e6 | + | 4.03480e6i | −0.0932519 | + | 0.161517i | ||||
\(911\) | −2.34581e7 | + | 1.12968e7i | −0.936475 | + | 0.450982i | −0.838924 | − | 0.544248i | \(-0.816815\pi\) |
−0.0975505 | + | 0.995231i | \(0.531101\pi\) | |||||||
\(912\) | −7.71547e7 | − | 2.37991e7i | −3.07168 | − | 0.947486i | ||||
\(913\) | 66409.4 | + | 886172.i | 0.00263665 | + | 0.0351837i | ||||
\(914\) | 7.02870e6 | + | 3.07947e7i | 0.278297 | + | 1.21930i | ||||
\(915\) | −488393. | + | 1.24440e6i | −0.0192849 | + | 0.0491370i | ||||
\(916\) | 1.98372e6 | − | 2.64709e7i | 0.0781162 | − | 1.04239i | ||||
\(917\) | −1.11144e7 | + | 1.67523e6i | −0.436480 | + | 0.0657887i | ||||
\(918\) | −2.05881e7 | − | 1.91030e7i | −0.806325 | − | 0.748160i | ||||
\(919\) | −1.60086e7 | − | 7.70934e6i | −0.625266 | − | 0.301112i | 0.0942922 | − | 0.995545i | \(-0.469941\pi\) |
−0.719558 | + | 0.694433i | \(0.755655\pi\) | |||||||
\(920\) | −3.06192e6 | + | 2.08758e6i | −0.119268 | + | 0.0813156i | ||||
\(921\) | −4.76924e6 | − | 1.21518e7i | −0.185268 | − | 0.472055i | ||||
\(922\) | 2.08651e7 | − | 6.43604e6i | 0.808339 | − | 0.249340i | ||||
\(923\) | 9.16137e6 | − | 8.50051e6i | 0.353962 | − | 0.328428i | ||||
\(924\) | 1.78335e7 | − | 2.23626e7i | 0.687160 | − | 0.861671i | ||||
\(925\) | 1.05399e7 | − | 1.32166e7i | 0.405025 | − | 0.507885i | ||||
\(926\) | 6.28966e7 | − | 5.83595e7i | 2.41046 | − | 2.23658i | ||||
\(927\) | −7.77970e6 | + | 2.39972e6i | −0.297347 | + | 0.0917194i | ||||
\(928\) | 3.03047e7 | + | 7.72152e7i | 1.15516 | + | 2.94329i | ||||
\(929\) | 703993. | − | 479974.i | 0.0267627 | − | 0.0182465i | −0.549865 | − | 0.835254i | \(-0.685321\pi\) |
0.576628 | + | 0.817007i | \(0.304368\pi\) | |||||||
\(930\) | −1.66198e6 | − | 800370.i | −0.0630115 | − | 0.0303447i | ||||
\(931\) | −2.60453e7 | − | 2.41665e7i | −0.984816 | − | 0.913776i | ||||
\(932\) | −8.44944e7 | + | 1.27355e7i | −3.18631 | + | 0.480259i | ||||
\(933\) | −1.38920e6 | + | 1.85376e7i | −0.0522470 | + | 0.697188i | ||||
\(934\) | −8.96757e6 | + | 2.28490e7i | −0.336363 | + | 0.857038i | ||||
\(935\) | 63197.4 | + | 276886.i | 0.00236412 | + | 0.0103579i | ||||
\(936\) | −1.79029e6 | − | 2.38897e7i | −0.0667933 | − | 0.891294i | ||||
\(937\) | −2.87668e7 | − | 8.87337e6i | −1.07039 | − | 0.330171i | −0.291008 | − | 0.956721i | \(-0.593991\pi\) |
−0.779382 | + | 0.626549i | \(0.784467\pi\) | |||||||
\(938\) | −7.13914e7 | + | 3.43803e7i | −2.64935 | + | 1.27586i | ||||
\(939\) | 1.32613e7 | − | 2.29692e7i | 0.490819 | − | 0.850123i | ||||
\(940\) | −3.27960e6 | − | 5.68044e6i | −0.121060 | − | 0.209683i | ||||
\(941\) | 4.17400e7 | + | 2.84578e7i | 1.53666 | + | 1.04768i | 0.975508 | + | 0.219966i | \(0.0705946\pi\) |
0.561153 | + | 0.827712i | \(0.310358\pi\) | |||||||
\(942\) | 1.33218e7 | − | 5.83666e7i | 0.489143 | − | 2.14307i | ||||
\(943\) | 4.49749e7 | + | 6.77888e6i | 1.64699 | + | 0.248244i | ||||
\(944\) | −6.81421e7 | − | 8.54475e7i | −2.48877 | − | 3.12082i | ||||
\(945\) | −1.77541e6 | −0.0646726 | ||||||||
\(946\) | −1.39973e7 | + | 1.60933e6i | −0.508528 | + | 0.0584679i | ||||
\(947\) | −5.13529e7 | −1.86076 | −0.930380 | − | 0.366597i | \(-0.880523\pi\) | ||||
−0.930380 | + | 0.366597i | \(0.880523\pi\) | |||||||
\(948\) | −3.41723e6 | − | 4.28507e6i | −0.123496 | − | 0.154859i | ||||
\(949\) | 1.94449e7 | + | 2.93084e6i | 0.700873 | + | 0.105640i | ||||
\(950\) | −1.34143e7 | + | 5.87717e7i | −0.482234 | + | 2.11281i | ||||
\(951\) | 1.29565e7 | + | 8.83359e6i | 0.464554 | + | 0.316728i | ||||
\(952\) | 3.86063e7 | + | 6.68681e7i | 1.38059 | + | 2.39126i | ||||
\(953\) | 2.26625e7 | − | 3.92526e7i | 0.808306 | − | 1.40003i | −0.105730 | − | 0.994395i | \(-0.533718\pi\) |
0.914036 | − | 0.405632i | \(-0.132949\pi\) | |||||||
\(954\) | 3.30732e6 | − | 1.59272e6i | 0.117654 | − | 0.0566589i | ||||
\(955\) | −913132. | − | 281664.i | −0.0323985 | − | 0.00999362i | ||||
\(956\) | −2.53521e6 | − | 3.38300e7i | −0.0897158 | − | 1.19717i | ||||
\(957\) | −3.31023e6 | − | 1.45031e7i | −0.116836 | − | 0.511894i | ||||
\(958\) | 2.09631e7 | − | 5.34131e7i | 0.737975 | − | 1.88033i | ||||
\(959\) | −4.26868e6 | + | 5.69615e7i | −0.149881 | + | 2.00002i | ||||
\(960\) | 1.75045e6 | − | 263838.i | 0.0613015 | − | 0.00923971i | ||||
\(961\) | 1.26524e7 | + | 1.17397e7i | 0.441940 | + | 0.410061i | ||||
\(962\) | −4.02053e7 | − | 1.93619e7i | −1.40070 | − | 0.674542i | ||||
\(963\) | −4.04153e6 | + | 2.75547e6i | −0.140436 | + | 0.0957480i | ||||
\(964\) | 1.03910e7 | + | 2.64759e7i | 0.360135 | + | 0.917609i | ||||
\(965\) | −1.68493e6 | + | 519731.i | −0.0582456 | + | 0.0179664i | ||||
\(966\) | 6.66731e7 | − | 6.18636e7i | 2.29884 | − | 2.13301i | ||||
\(967\) | 1.88595e7 | − | 2.36490e7i | 0.648580 | − | 0.813294i | −0.343467 | − | 0.939165i | \(-0.611601\pi\) |
0.992047 | + | 0.125871i | \(0.0401727\pi\) | |||||||
\(968\) | 4.40379e7 | − | 5.52218e7i | 1.51056 | − | 1.89418i | ||||
\(969\) | −2.03532e7 | + | 1.88850e7i | −0.696344 | + | 0.646112i | ||||
\(970\) | 859348. | − | 265074.i | 0.0293251 | − | 0.00904560i | ||||
\(971\) | −7.96489e6 | − | 2.02942e7i | −0.271101 | − | 0.690755i | −0.999981 | − | 0.00611338i | \(-0.998054\pi\) |
0.728880 | − | 0.684641i | \(-0.240041\pi\) | |||||||
\(972\) | 3.03281e7 | − | 2.06773e7i | 1.02962 | − | 0.701986i | ||||
\(973\) | 2.47116e7 | + | 1.19005e7i | 0.836795 | + | 0.402979i | ||||
\(974\) | 3.58266e7 | + | 3.32422e7i | 1.21006 | + | 1.12277i | ||||
\(975\) | −4.24669e7 | + | 6.40086e6i | −1.43067 | + | 0.215639i | ||||
\(976\) | 4.75787e6 | − | 6.34894e7i | 0.159878 | − | 2.13342i | ||||
\(977\) | 4.16236e6 | − | 1.06055e7i | 0.139509 | − | 0.355464i | −0.843994 | − | 0.536352i | \(-0.819802\pi\) |
0.983504 | + | 0.180888i | \(0.0578972\pi\) | |||||||
\(978\) | −9.20203e6 | − | 4.03167e7i | −0.307636 | − | 1.34784i | ||||
\(979\) | −434311. | − | 5.79547e6i | −0.0144825 | − | 0.193256i | ||||
\(980\) | 4.24077e6 | + | 1.30810e6i | 0.141052 | + | 0.0435088i | ||||
\(981\) | −5.22568e6 | + | 2.51655e6i | −0.173369 | + | 0.0834899i | ||||
\(982\) | −2.60199e7 | + | 4.50677e7i | −0.861045 | + | 1.49137i | ||||
\(983\) | 7.92238e6 | + | 1.37220e7i | 0.261500 | + | 0.452931i | 0.966641 | − | 0.256136i | \(-0.0824495\pi\) |
−0.705141 | + | 0.709067i | \(0.749116\pi\) | |||||||
\(984\) | −1.19650e8 | − | 8.15761e7i | −3.93936 | − | 2.68581i | ||||
\(985\) | 23109.6 | − | 101250.i | 0.000758932 | − | 0.00332510i | ||||
\(986\) | 6.76926e7 | + | 1.02030e7i | 2.21742 | + | 0.334223i | ||||
\(987\) | 5.88785e7 | + | 7.38313e7i | 1.92382 | + | 2.41239i | ||||
\(988\) | 1.12590e8 | 3.66951 | ||||||||
\(989\) | −3.16790e7 | − | 1.11327e6i | −1.02987 | − | 0.0361917i | ||||
\(990\) | −222431. | −0.00721287 | ||||||||
\(991\) | 9.66588e6 | + | 1.21206e7i | 0.312649 | + | 0.392050i | 0.913183 | − | 0.407550i | \(-0.133617\pi\) |
−0.600534 | + | 0.799599i | \(0.705045\pi\) | |||||||
\(992\) | 3.61975e7 | + | 5.45589e6i | 1.16788 | + | 0.176030i | ||||
\(993\) | 6.24387e6 | − | 2.73562e7i | 0.200947 | − | 0.880404i | ||||
\(994\) | −2.60652e7 | − | 1.77709e7i | −0.836748 | − | 0.570485i | ||||
\(995\) | −1.22257e6 | − | 2.11755e6i | −0.0391485 | − | 0.0678071i | ||||
\(996\) | 5.42576e6 | − | 9.39769e6i | 0.173305 | − | 0.300174i | ||||
\(997\) | −3.39830e7 | + | 1.63654e7i | −1.08274 | + | 0.521420i | −0.888192 | − | 0.459473i | \(-0.848038\pi\) |
−0.194548 | + | 0.980893i | \(0.562324\pi\) | |||||||
\(998\) | 5.55203e7 | + | 1.71258e7i | 1.76452 | + | 0.544281i | ||||
\(999\) | −1.27080e6 | − | 1.69577e7i | −0.0402869 | − | 0.537591i |
(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 | 43.6.g.a.9.1 | ✓ | 204 | |
43.24 | even | 21 | inner | 43.6.g.a.24.1 | yes | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.6.g.a.9.1 | ✓ | 204 | 1.1 | even | 1 | trivial | |
43.6.g.a.24.1 | yes | 204 | 43.24 | even | 21 | inner |