Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,6,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
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("27.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), 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: | \(4.33036313495\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 7.8 | ||
Character | \(\chi\) | \(=\) | 27.7 |
Dual form | 27.6.e.a.4.8 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.224938 | − | 0.0818707i | 0.0397638 | − | 0.0144728i | −0.322062 | − | 0.946719i | \(-0.604376\pi\) |
0.361825 | + | 0.932246i | \(0.382154\pi\) | |||||||
\(3\) | 14.5788 | + | 5.51901i | 0.935229 | + | 0.354045i | ||||
\(4\) | −24.4695 | + | 20.5324i | −0.764673 | + | 0.641637i | ||||
\(5\) | 7.42390 | + | 42.1031i | 0.132803 | + | 0.753162i | 0.976365 | + | 0.216130i | \(0.0693435\pi\) |
−0.843562 | + | 0.537032i | \(0.819545\pi\) | |||||||
\(6\) | 3.73116 | + | 0.0478599i | 0.0423123 | + | 0.000542742i | ||||
\(7\) | 7.97190 | + | 6.68922i | 0.0614917 | + | 0.0515977i | 0.673016 | − | 0.739628i | \(-0.264999\pi\) |
−0.611524 | + | 0.791226i | \(0.709443\pi\) | |||||||
\(8\) | −7.65311 | + | 13.2556i | −0.0422779 | + | 0.0732274i | ||||
\(9\) | 182.081 | + | 160.921i | 0.749305 | + | 0.662225i | ||||
\(10\) | 5.11693 | + | 8.86277i | 0.0161811 | + | 0.0280266i | ||||
\(11\) | −31.7427 | + | 180.022i | −0.0790975 | + | 0.448584i | 0.919377 | + | 0.393377i | \(0.128693\pi\) |
−0.998475 | + | 0.0552074i | \(0.982418\pi\) | |||||||
\(12\) | −470.054 | + | 164.289i | −0.942312 | + | 0.329349i | ||||
\(13\) | 752.956 | + | 274.053i | 1.23569 | + | 0.449756i | 0.875544 | − | 0.483138i | \(-0.160503\pi\) |
0.360150 | + | 0.932894i | \(0.382725\pi\) | |||||||
\(14\) | 2.34083 | + | 0.851994i | 0.00319191 | + | 0.00116176i | ||||
\(15\) | −124.136 | + | 654.783i | −0.142452 | + | 0.751397i | ||||
\(16\) | 176.861 | − | 1003.03i | 0.172716 | − | 0.979521i | ||||
\(17\) | −1138.32 | − | 1971.63i | −0.955305 | − | 1.65464i | −0.733668 | − | 0.679509i | \(-0.762193\pi\) |
−0.221638 | − | 0.975129i | \(-0.571140\pi\) | |||||||
\(18\) | 54.1316 | + | 21.2901i | 0.0393795 | + | 0.0154880i | ||||
\(19\) | 410.894 | − | 711.689i | 0.261123 | − | 0.452279i | −0.705417 | − | 0.708792i | \(-0.749240\pi\) |
0.966541 | + | 0.256513i | \(0.0825737\pi\) | |||||||
\(20\) | −1046.14 | − | 877.812i | −0.584807 | − | 0.490712i | ||||
\(21\) | 79.3027 | + | 141.518i | 0.0392410 | + | 0.0700265i | ||||
\(22\) | 7.59838 | + | 43.0926i | 0.00334707 | + | 0.0189822i | ||||
\(23\) | −16.1153 | + | 13.5223i | −0.00635211 | + | 0.00533006i | −0.645958 | − | 0.763373i | \(-0.723542\pi\) |
0.639606 | + | 0.768703i | \(0.279098\pi\) | |||||||
\(24\) | −184.731 | + | 151.012i | −0.0654652 | + | 0.0535161i | ||||
\(25\) | 1218.99 | − | 443.675i | 0.390076 | − | 0.141976i | ||||
\(26\) | 191.805 | 0.0556451 | ||||||||
\(27\) | 1766.40 | + | 3350.93i | 0.466314 | + | 0.884619i | ||||
\(28\) | −332.414 | −0.0801280 | ||||||||
\(29\) | −3846.78 | + | 1400.11i | −0.849380 | + | 0.309149i | −0.729788 | − | 0.683674i | \(-0.760381\pi\) |
−0.119592 | + | 0.992823i | \(0.538159\pi\) | |||||||
\(30\) | 25.6848 | + | 157.449i | 0.00521042 | + | 0.0319401i | ||||
\(31\) | 4705.96 | − | 3948.77i | 0.879517 | − | 0.738003i | −0.0865625 | − | 0.996246i | \(-0.527588\pi\) |
0.966080 | + | 0.258244i | \(0.0831438\pi\) | |||||||
\(32\) | −127.389 | − | 722.457i | −0.0219915 | − | 0.124720i | ||||
\(33\) | −1456.31 | + | 2449.31i | −0.232793 | + | 0.391525i | ||||
\(34\) | −417.470 | − | 350.299i | −0.0619339 | − | 0.0519687i | ||||
\(35\) | −222.454 | + | 385.302i | −0.0306952 | + | 0.0531656i | ||||
\(36\) | −7759.52 | − | 199.096i | −0.997881 | − | 0.0256040i | ||||
\(37\) | 5180.58 | + | 8973.02i | 0.622120 | + | 1.07754i | 0.989090 | + | 0.147310i | \(0.0470616\pi\) |
−0.366971 | + | 0.930232i | \(0.619605\pi\) | |||||||
\(38\) | 34.1591 | − | 193.726i | 0.00383750 | − | 0.0217635i | ||||
\(39\) | 9464.67 | + | 8150.93i | 0.996423 | + | 0.858116i | ||||
\(40\) | −614.916 | − | 223.811i | −0.0607667 | − | 0.0221173i | ||||
\(41\) | 3418.38 | + | 1244.19i | 0.317585 | + | 0.115592i | 0.495894 | − | 0.868383i | \(-0.334840\pi\) |
−0.178309 | + | 0.983975i | \(0.557063\pi\) | |||||||
\(42\) | 29.4243 | + | 25.3401i | 0.00257385 | + | 0.00221659i | ||||
\(43\) | −720.707 | + | 4087.33i | −0.0594412 | + | 0.337108i | −0.999997 | − | 0.00253203i | \(-0.999194\pi\) |
0.940556 | + | 0.339640i | \(0.110305\pi\) | |||||||
\(44\) | −2919.55 | − | 5056.81i | −0.227344 | − | 0.393772i | ||||
\(45\) | −5423.50 | + | 8860.83i | −0.399253 | + | 0.652294i | ||||
\(46\) | −2.51785 | + | 4.36105i | −0.000175443 | + | 0.000303876i | ||||
\(47\) | −1831.42 | − | 1536.74i | −0.120932 | − | 0.101474i | 0.580316 | − | 0.814392i | \(-0.302929\pi\) |
−0.701248 | + | 0.712917i | \(0.747374\pi\) | |||||||
\(48\) | 8114.14 | − | 13646.8i | 0.508323 | − | 0.854927i | ||||
\(49\) | −2899.70 | − | 16445.0i | −0.172529 | − | 0.978462i | ||||
\(50\) | 237.872 | − | 199.599i | 0.0134561 | − | 0.0112910i | ||||
\(51\) | −5713.88 | − | 35026.3i | −0.307614 | − | 1.88568i | ||||
\(52\) | −24051.4 | + | 8754.01i | −1.23348 | + | 0.448951i | ||||
\(53\) | 21542.2 | 1.05342 | 0.526710 | − | 0.850045i | \(-0.323426\pi\) | ||||
0.526710 | + | 0.850045i | \(0.323426\pi\) | |||||||
\(54\) | 671.673 | + | 609.136i | 0.0313454 | + | 0.0284269i | ||||
\(55\) | −7815.13 | −0.348361 | ||||||||
\(56\) | −149.679 | + | 54.4788i | −0.00637810 | + | 0.00232144i | ||||
\(57\) | 9918.15 | − | 8107.83i | 0.404337 | − | 0.330535i | ||||
\(58\) | −750.658 | + | 629.877i | −0.0293003 | + | 0.0245859i | ||||
\(59\) | 4527.71 | + | 25677.9i | 0.169336 | + | 0.960351i | 0.944480 | + | 0.328568i | \(0.106566\pi\) |
−0.775145 | + | 0.631784i | \(0.782323\pi\) | |||||||
\(60\) | −10406.7 | − | 18571.0i | −0.373195 | − | 0.665975i | ||||
\(61\) | −31655.2 | − | 26561.9i | −1.08923 | − | 0.913974i | −0.0925778 | − | 0.995705i | \(-0.529511\pi\) |
−0.996654 | + | 0.0817311i | \(0.973955\pi\) | |||||||
\(62\) | 735.261 | − | 1273.51i | 0.0242919 | − | 0.0420749i | ||||
\(63\) | 375.099 | + | 2500.82i | 0.0119068 | + | 0.0793838i | ||||
\(64\) | 16208.2 | + | 28073.5i | 0.494636 | + | 0.856735i | ||||
\(65\) | −5948.62 | + | 33736.3i | −0.174636 | + | 0.990407i | ||||
\(66\) | −127.053 | + | 670.172i | −0.00359026 | + | 0.0189377i | ||||
\(67\) | 17751.3 | + | 6460.96i | 0.483108 | + | 0.175837i | 0.572081 | − | 0.820197i | \(-0.306136\pi\) |
−0.0889730 | + | 0.996034i | \(0.528358\pi\) | |||||||
\(68\) | 68336.4 | + | 24872.4i | 1.79217 | + | 0.652297i | ||||
\(69\) | −309.571 | + | 108.199i | −0.00782775 | + | 0.00273589i | ||||
\(70\) | −18.4934 | + | 104.881i | −0.000451099 | + | 0.00255831i | ||||
\(71\) | −38092.9 | − | 65978.8i | −0.896805 | − | 1.55331i | −0.831555 | − | 0.555443i | \(-0.812549\pi\) |
−0.0652502 | − | 0.997869i | \(-0.520785\pi\) | |||||||
\(72\) | −3526.58 | + | 1182.05i | −0.0801720 | + | 0.0268722i | ||||
\(73\) | −23330.7 | + | 40410.0i | −0.512415 | + | 0.887528i | 0.487482 | + | 0.873133i | \(0.337916\pi\) |
−0.999896 | + | 0.0143949i | \(0.995418\pi\) | |||||||
\(74\) | 1899.94 | + | 1594.24i | 0.0403329 | + | 0.0338433i | ||||
\(75\) | 20220.0 | + | 259.363i | 0.415076 | + | 0.00532420i | ||||
\(76\) | 4558.29 | + | 25851.3i | 0.0905248 | + | 0.513392i | ||||
\(77\) | −1457.26 | + | 1222.78i | −0.0280097 | + | 0.0235030i | ||||
\(78\) | 2796.29 | + | 1058.57i | 0.0520409 | + | 0.0197009i | ||||
\(79\) | −24605.0 | + | 8955.49i | −0.443563 | + | 0.161444i | −0.554140 | − | 0.832424i | \(-0.686953\pi\) |
0.110576 | + | 0.993868i | \(0.464730\pi\) | |||||||
\(80\) | 43543.6 | 0.760675 | ||||||||
\(81\) | 7258.06 | + | 58601.2i | 0.122916 | + | 0.992417i | ||||
\(82\) | 870.785 | 0.0143013 | ||||||||
\(83\) | −98703.0 | + | 35925.0i | −1.57266 | + | 0.572402i | −0.973592 | − | 0.228295i | \(-0.926685\pi\) |
−0.599069 | + | 0.800697i | \(0.704463\pi\) | |||||||
\(84\) | −4846.19 | − | 1834.60i | −0.0749380 | − | 0.0283689i | ||||
\(85\) | 74560.8 | − | 62564.0i | 1.11934 | − | 0.939241i | ||||
\(86\) | 172.518 | + | 978.401i | 0.00251530 | + | 0.0142650i | ||||
\(87\) | −63808.5 | − | 818.475i | −0.903817 | − | 0.0115933i | ||||
\(88\) | −2143.36 | − | 1798.50i | −0.0295046 | − | 0.0247573i | ||||
\(89\) | 22123.0 | − | 38318.2i | 0.296053 | − | 0.512779i | −0.679176 | − | 0.733975i | \(-0.737663\pi\) |
0.975229 | + | 0.221196i | \(0.0709961\pi\) | |||||||
\(90\) | −494.508 | + | 2437.16i | −0.00643528 | + | 0.0317160i | ||||
\(91\) | 4169.28 | + | 7221.41i | 0.0527786 | + | 0.0914153i | ||||
\(92\) | 116.688 | − | 661.770i | 0.00143733 | − | 0.00815150i | ||||
\(93\) | 90400.5 | − | 31596.0i | 1.08384 | − | 0.378813i | ||||
\(94\) | −537.770 | − | 195.732i | −0.00627735 | − | 0.00228477i | ||||
\(95\) | 33014.7 | + | 12016.4i | 0.375317 | + | 0.136604i | ||||
\(96\) | 2130.08 | − | 11235.6i | 0.0235894 | − | 0.124428i | ||||
\(97\) | 15851.0 | − | 89895.3i | 0.171051 | − | 0.970080i | −0.771552 | − | 0.636166i | \(-0.780519\pi\) |
0.942603 | − | 0.333914i | \(-0.108370\pi\) | |||||||
\(98\) | −1998.62 | − | 3461.71i | −0.0210215 | − | 0.0364104i | ||||
\(99\) | −34749.0 | + | 27670.5i | −0.356332 | + | 0.283746i | ||||
\(100\) | −20718.3 | + | 35885.2i | −0.207183 | + | 0.358852i | ||||
\(101\) | −71080.0 | − | 59643.2i | −0.693336 | − | 0.581778i | 0.226533 | − | 0.974003i | \(-0.427261\pi\) |
−0.919869 | + | 0.392226i | \(0.871705\pi\) | |||||||
\(102\) | −4152.90 | − | 7410.95i | −0.0395231 | − | 0.0705299i | ||||
\(103\) | −20306.2 | − | 115162.i | −0.188597 | − | 1.06959i | −0.921246 | − | 0.388981i | \(-0.872827\pi\) |
0.732648 | − | 0.680608i | \(-0.238284\pi\) | |||||||
\(104\) | −9395.19 | + | 7883.50i | −0.0851770 | + | 0.0714720i | ||||
\(105\) | −5369.59 | + | 4389.50i | −0.0475300 | + | 0.0388545i | ||||
\(106\) | 4845.67 | − | 1763.68i | 0.0418879 | − | 0.0152460i | ||||
\(107\) | −163902. | −1.38396 | −0.691981 | − | 0.721915i | \(-0.743262\pi\) | ||||
−0.691981 | + | 0.721915i | \(0.743262\pi\) | |||||||
\(108\) | −112025. | − | 45727.4i | −0.924182 | − | 0.377240i | ||||
\(109\) | 149451. | 1.20485 | 0.602425 | − | 0.798176i | \(-0.294201\pi\) | ||||
0.602425 | + | 0.798176i | \(0.294201\pi\) | |||||||
\(110\) | −1757.92 | + | 639.830i | −0.0138521 | + | 0.00504177i | ||||
\(111\) | 26004.3 | + | 159407.i | 0.200326 | + | 1.22801i | ||||
\(112\) | 8119.40 | − | 6812.99i | 0.0611616 | − | 0.0513207i | ||||
\(113\) | −25934.3 | − | 147081.i | −0.191064 | − | 1.08358i | −0.917914 | − | 0.396780i | \(-0.870128\pi\) |
0.726850 | − | 0.686796i | \(-0.240983\pi\) | |||||||
\(114\) | 1567.17 | − | 2635.76i | 0.0112942 | − | 0.0189952i | ||||
\(115\) | −688.969 | − | 578.114i | −0.00485798 | − | 0.00407633i | ||||
\(116\) | 65381.2 | − | 113244.i | 0.451136 | − | 0.781391i | ||||
\(117\) | 92998.1 | + | 171066.i | 0.628072 | + | 1.15531i | ||||
\(118\) | 3120.73 | + | 5405.26i | 0.0206324 | + | 0.0357364i | ||||
\(119\) | 4114.08 | − | 23332.1i | 0.0266321 | − | 0.151038i | ||||
\(120\) | −7729.50 | − | 6656.62i | −0.0490003 | − | 0.0421988i | ||||
\(121\) | 119938. | + | 43653.9i | 0.744721 | + | 0.271056i | ||||
\(122\) | −9295.09 | − | 3383.14i | −0.0565398 | − | 0.0205788i | ||||
\(123\) | 42969.1 | + | 37004.8i | 0.256090 | + | 0.220544i | ||||
\(124\) | −34075.0 | + | 193249.i | −0.199013 | + | 1.12866i | ||||
\(125\) | 94530.6 | + | 163732.i | 0.541125 | + | 0.937255i | ||||
\(126\) | 289.118 | + | 531.821i | 0.00162237 | + | 0.00298427i | ||||
\(127\) | 32343.2 | − | 56020.1i | 0.177940 | − | 0.308201i | −0.763235 | − | 0.646121i | \(-0.776390\pi\) |
0.941175 | + | 0.337920i | \(0.109723\pi\) | |||||||
\(128\) | 23927.3 | + | 20077.4i | 0.129083 | + | 0.108314i | ||||
\(129\) | −33065.0 | + | 55610.7i | −0.174942 | + | 0.294228i | ||||
\(130\) | 1423.94 | + | 8075.59i | 0.00738983 | + | 0.0419098i | ||||
\(131\) | −235855. | + | 197906.i | −1.20079 | + | 1.00758i | −0.201182 | + | 0.979554i | \(0.564478\pi\) |
−0.999607 | + | 0.0280275i | \(0.991077\pi\) | |||||||
\(132\) | −14654.9 | − | 89835.0i | −0.0732061 | − | 0.448757i | ||||
\(133\) | 8036.25 | − | 2924.96i | 0.0393935 | − | 0.0143381i | ||||
\(134\) | 4521.92 | 0.0217551 | ||||||||
\(135\) | −127971. | + | 99247.7i | −0.604334 | + | 0.468690i | ||||
\(136\) | 34846.8 | 0.161553 | ||||||||
\(137\) | 244592. | − | 89024.1i | 1.11337 | − | 0.405234i | 0.281143 | − | 0.959666i | \(-0.409287\pi\) |
0.832229 | + | 0.554432i | \(0.187064\pi\) | |||||||
\(138\) | −60.7759 | + | 49.6827i | −0.000271665 | + | 0.000222079i | ||||
\(139\) | −147394. | + | 123678.i | −0.647056 | + | 0.542944i | −0.906176 | − | 0.422901i | \(-0.861012\pi\) |
0.259120 | + | 0.965845i | \(0.416567\pi\) | |||||||
\(140\) | −2467.81 | − | 13995.7i | −0.0106412 | − | 0.0603494i | ||||
\(141\) | −18218.5 | − | 32511.4i | −0.0771730 | − | 0.137717i | ||||
\(142\) | −13970.3 | − | 11722.4i | −0.0581412 | − | 0.0487862i | ||||
\(143\) | −73236.5 | + | 126849.i | −0.299494 | + | 0.518738i | ||||
\(144\) | 193611. | − | 154172.i | 0.778080 | − | 0.619583i | ||||
\(145\) | −87507.1 | − | 151567.i | −0.345640 | − | 0.598665i | ||||
\(146\) | −1939.57 | + | 10999.9i | −0.00753050 | + | 0.0427076i | ||||
\(147\) | 48486.1 | − | 255752.i | 0.185065 | − | 0.976169i | ||||
\(148\) | −311004. | − | 113196.i | −1.16711 | − | 0.424793i | ||||
\(149\) | 272673. | + | 99244.8i | 1.00618 | + | 0.366220i | 0.791965 | − | 0.610566i | \(-0.209058\pi\) |
0.214216 | + | 0.976786i | \(0.431280\pi\) | |||||||
\(150\) | 4569.47 | − | 1597.08i | 0.0165820 | − | 0.00579561i | ||||
\(151\) | 25789.2 | − | 146258.i | 0.0920440 | − | 0.522007i | −0.903569 | − | 0.428442i | \(-0.859063\pi\) |
0.995613 | − | 0.0935651i | \(-0.0298263\pi\) | |||||||
\(152\) | 6289.23 | + | 10893.3i | 0.0220795 | + | 0.0382428i | ||||
\(153\) | 110009. | − | 542176.i | 0.379927 | − | 1.87246i | ||||
\(154\) | −227.682 | + | 394.357i | −0.000773619 | + | 0.00133995i | ||||
\(155\) | 201192. | + | 168820.i | 0.672638 | + | 0.564410i | ||||
\(156\) | −398954. | − | 5117.40i | −1.31254 | − | 0.0168360i | ||||
\(157\) | 66156.0 | + | 375189.i | 0.214200 | + | 1.21479i | 0.882289 | + | 0.470709i | \(0.156002\pi\) |
−0.668088 | + | 0.744082i | \(0.732887\pi\) | |||||||
\(158\) | −4801.41 | + | 4028.86i | −0.0153012 | + | 0.0128392i | ||||
\(159\) | 314059. | + | 118892.i | 0.985188 | + | 0.372957i | ||||
\(160\) | 29471.9 | − | 10726.9i | 0.0910141 | − | 0.0331264i | ||||
\(161\) | −218.923 | −0.000665621 | ||||||||
\(162\) | 6430.34 | + | 12587.4i | 0.0192507 | + | 0.0376833i | ||||
\(163\) | −575859. | −1.69764 | −0.848822 | − | 0.528678i | \(-0.822688\pi\) | ||||
−0.848822 | + | 0.528678i | \(0.822688\pi\) | |||||||
\(164\) | −109192. | + | 39742.7i | −0.317017 | + | 0.115385i | ||||
\(165\) | −113935. | − | 43131.8i | −0.325797 | − | 0.123335i | ||||
\(166\) | −19260.9 | + | 16161.8i | −0.0542507 | + | 0.0455217i | ||||
\(167\) | −115762. | − | 656516.i | −0.321198 | − | 1.82161i | −0.535145 | − | 0.844760i | \(-0.679743\pi\) |
0.213947 | − | 0.976845i | \(-0.431368\pi\) | |||||||
\(168\) | −2482.81 | − | 31.8471i | −0.00678688 | − | 8.70557e-5i | ||||
\(169\) | 207410. | + | 174038.i | 0.558616 | + | 0.468734i | ||||
\(170\) | 11649.4 | − | 20177.4i | 0.0309159 | − | 0.0535478i | ||||
\(171\) | 189342. | − | 63463.8i | 0.495171 | − | 0.165972i | ||||
\(172\) | −66287.2 | − | 114813.i | −0.170848 | − | 0.295917i | ||||
\(173\) | 27027.1 | − | 153278.i | 0.0686569 | − | 0.389373i | −0.931044 | − | 0.364908i | \(-0.881101\pi\) |
0.999701 | − | 0.0244652i | \(-0.00778831\pi\) | |||||||
\(174\) | −14420.0 | + | 5039.94i | −0.0361070 | + | 0.0126198i | ||||
\(175\) | 12685.5 | + | 4617.14i | 0.0313121 | + | 0.0113967i | ||||
\(176\) | 174953. | + | 63677.8i | 0.425736 | + | 0.154955i | ||||
\(177\) | −75708.3 | + | 399341.i | −0.181639 | + | 0.958100i | ||||
\(178\) | 1839.17 | − | 10430.4i | 0.00435083 | − | 0.0246748i | ||||
\(179\) | 231594. | + | 401133.i | 0.540250 | + | 0.935741i | 0.998889 | + | 0.0471182i | \(0.0150038\pi\) |
−0.458639 | + | 0.888623i | \(0.651663\pi\) | |||||||
\(180\) | −49223.4 | − | 328178.i | −0.113237 | − | 0.754967i | ||||
\(181\) | 55248.9 | − | 95693.8i | 0.125351 | − | 0.217114i | −0.796519 | − | 0.604613i | \(-0.793328\pi\) |
0.921870 | + | 0.387499i | \(0.126661\pi\) | |||||||
\(182\) | 1529.05 | + | 1283.03i | 0.00342172 | + | 0.00287116i | ||||
\(183\) | −314899. | − | 561945.i | −0.695093 | − | 1.24041i | ||||
\(184\) | −55.9142 | − | 317.105i | −0.000121752 | − | 0.000690492i | ||||
\(185\) | −339332. | + | 284733.i | −0.728945 | + | 0.611658i | ||||
\(186\) | 17747.7 | − | 14508.3i | 0.0376149 | − | 0.0307492i | ||||
\(187\) | 391070. | − | 142338.i | 0.817806 | − | 0.297657i | ||||
\(188\) | 76366.9 | 0.157583 | ||||||||
\(189\) | −8333.59 | + | 38529.1i | −0.0169698 | + | 0.0784575i | ||||
\(190\) | 8410.05 | 0.0169011 | ||||||||
\(191\) | 424875. | − | 154642.i | 0.842709 | − | 0.306721i | 0.115645 | − | 0.993291i | \(-0.463107\pi\) |
0.727064 | + | 0.686570i | \(0.240884\pi\) | |||||||
\(192\) | 81358.4 | + | 498730.i | 0.159276 | + | 0.976366i | ||||
\(193\) | −514254. | + | 431510.i | −0.993766 | + | 0.833869i | −0.986109 | − | 0.166102i | \(-0.946882\pi\) |
−0.00765742 | + | 0.999971i | \(0.502437\pi\) | |||||||
\(194\) | −3794.31 | − | 21518.6i | −0.00723816 | − | 0.0410497i | ||||
\(195\) | −272914. | + | 459003.i | −0.513972 | + | 0.864429i | ||||
\(196\) | 408609. | + | 342864.i | 0.759746 | + | 0.637502i | ||||
\(197\) | −303274. | + | 525286.i | −0.556762 | + | 0.964341i | 0.441002 | + | 0.897506i | \(0.354623\pi\) |
−0.997764 | + | 0.0668344i | \(0.978710\pi\) | |||||||
\(198\) | −5550.96 | + | 9069.08i | −0.0100625 | + | 0.0164399i | ||||
\(199\) | 2088.24 | + | 3616.94i | 0.00373808 | + | 0.00647454i | 0.867888 | − | 0.496759i | \(-0.165477\pi\) |
−0.864150 | + | 0.503234i | \(0.832143\pi\) | |||||||
\(200\) | −3447.87 | + | 19553.9i | −0.00609503 | + | 0.0345667i | ||||
\(201\) | 223135. | + | 192163.i | 0.389562 | + | 0.335490i | ||||
\(202\) | −20871.6 | − | 7596.64i | −0.0359896 | − | 0.0130992i | ||||
\(203\) | −40031.8 | − | 14570.4i | −0.0681812 | − | 0.0248159i | ||||
\(204\) | 858989. | + | 739758.i | 1.44515 | + | 1.24456i | ||||
\(205\) | −27006.4 | + | 153161.i | −0.0448830 | + | 0.254544i | ||||
\(206\) | −13996.0 | − | 24241.9i | −0.0229793 | − | 0.0398014i | ||||
\(207\) | −5110.31 | − | 131.122i | −0.00828937 | − | 0.000212691i | ||||
\(208\) | 408052. | − | 706767.i | 0.653969 | − | 1.13271i | ||||
\(209\) | 115077. | + | 96560.9i | 0.182231 | + | 0.152910i | ||||
\(210\) | −848.452 | + | 1426.98i | −0.00132764 | + | 0.00223290i | ||||
\(211\) | −43923.7 | − | 249103.i | −0.0679192 | − | 0.385189i | −0.999751 | − | 0.0222992i | \(-0.992901\pi\) |
0.931832 | − | 0.362890i | \(-0.118210\pi\) | |||||||
\(212\) | −527129. | + | 442313.i | −0.805521 | + | 0.675912i | ||||
\(213\) | −191210. | − | 1.17212e6i | −0.288776 | − | 1.77021i | ||||
\(214\) | −36867.7 | + | 13418.8i | −0.0550316 | + | 0.0200299i | ||||
\(215\) | −177440. | −0.261791 | ||||||||
\(216\) | −57937.0 | − | 2230.46i | −0.0844931 | − | 0.00325282i | ||||
\(217\) | 63929.7 | 0.0921623 | ||||||||
\(218\) | 33617.2 | − | 12235.7i | 0.0479094 | − | 0.0174376i | ||||
\(219\) | −563157. | + | 460366.i | −0.793449 | + | 0.648624i | ||||
\(220\) | 191233. | − | 160463.i | 0.266382 | − | 0.223521i | ||||
\(221\) | −316773. | − | 1.79651e6i | −0.436282 | − | 2.47428i | ||||
\(222\) | 18900.1 | + | 33727.8i | 0.0257385 | + | 0.0459309i | ||||
\(223\) | −289759. | − | 243137.i | −0.390189 | − | 0.327408i | 0.426498 | − | 0.904489i | \(-0.359747\pi\) |
−0.816687 | + | 0.577081i | \(0.804192\pi\) | |||||||
\(224\) | 3817.14 | − | 6611.48i | 0.00508298 | − | 0.00880398i | ||||
\(225\) | 293351. | + | 115375.i | 0.386306 | + | 0.151935i | ||||
\(226\) | −17875.2 | − | 30960.8i | −0.0232798 | − | 0.0403218i | ||||
\(227\) | 103649. | − | 587824.i | 0.133506 | − | 0.757151i | −0.842382 | − | 0.538881i | \(-0.818847\pi\) |
0.975888 | − | 0.218270i | \(-0.0700415\pi\) | |||||||
\(228\) | −76219.5 | + | 402038.i | −0.0971021 | + | 0.512188i | ||||
\(229\) | 342579. | + | 124689.i | 0.431690 | + | 0.157122i | 0.548720 | − | 0.836006i | \(-0.315115\pi\) |
−0.117030 | + | 0.993128i | \(0.537337\pi\) | |||||||
\(230\) | −202.306 | − | 73.6333i | −0.000252167 | − | 9.17815e-5i | ||||
\(231\) | −27993.6 | + | 9784.07i | −0.0345166 | + | 0.0120639i | ||||
\(232\) | 10880.5 | − | 61706.4i | 0.0132718 | − | 0.0752680i | ||||
\(233\) | −270250. | − | 468087.i | −0.326119 | − | 0.564855i | 0.655619 | − | 0.755092i | \(-0.272408\pi\) |
−0.981738 | + | 0.190237i | \(0.939074\pi\) | |||||||
\(234\) | 34924.1 | + | 30865.4i | 0.0416952 | + | 0.0368496i | ||||
\(235\) | 51105.3 | − | 88516.9i | 0.0603665 | − | 0.104558i | ||||
\(236\) | −638020. | − | 535362.i | −0.745683 | − | 0.625702i | ||||
\(237\) | −408136. | − | 5235.19i | −0.471991 | − | 0.00605426i | ||||
\(238\) | −984.803 | − | 5585.10i | −0.00112696 | − | 0.00639129i | ||||
\(239\) | −871177. | + | 731004.i | −0.986533 | + | 0.827799i | −0.985062 | − | 0.172200i | \(-0.944913\pi\) |
−0.00147066 | + | 0.999999i | \(0.500468\pi\) | |||||||
\(240\) | 634812. | + | 240317.i | 0.711405 | + | 0.269313i | ||||
\(241\) | 440102. | − | 160184.i | 0.488102 | − | 0.177655i | −0.0862327 | − | 0.996275i | \(-0.527483\pi\) |
0.574335 | + | 0.818620i | \(0.305261\pi\) | |||||||
\(242\) | 30552.6 | 0.0335359 | ||||||||
\(243\) | −217607. | + | 894391.i | −0.236405 | + | 0.971655i | ||||
\(244\) | 1.31997e6 | 1.41935 | ||||||||
\(245\) | 670858. | − | 244172.i | 0.714028 | − | 0.259885i | ||||
\(246\) | 12695.0 | + | 4805.87i | 0.0133750 | + | 0.00506331i | ||||
\(247\) | 504426. | − | 423264.i | 0.526084 | − | 0.441437i | ||||
\(248\) | 16328.0 | + | 92600.6i | 0.0168579 | + | 0.0956059i | ||||
\(249\) | −1.63724e6 | − | 21001.0i | −1.67345 | − | 0.0214655i | ||||
\(250\) | 34668.4 | + | 29090.2i | 0.0350819 | + | 0.0294372i | ||||
\(251\) | −322506. | + | 558597.i | −0.323112 | + | 0.559647i | −0.981129 | − | 0.193357i | \(-0.938063\pi\) |
0.658016 | + | 0.753004i | \(0.271396\pi\) | |||||||
\(252\) | −60526.3 | − | 53492.3i | −0.0600403 | − | 0.0530628i | ||||
\(253\) | −1922.77 | − | 3330.34i | −0.00188854 | − | 0.00327105i | ||||
\(254\) | 2688.81 | − | 15249.0i | 0.00261502 | − | 0.0148305i | ||||
\(255\) | 1.43230e6 | − | 500604.i | 1.37937 | − | 0.482107i | ||||
\(256\) | −967743. | − | 352230.i | −0.922911 | − | 0.335912i | ||||
\(257\) | 935736. | + | 340580.i | 0.883732 | + | 0.321652i | 0.743715 | − | 0.668497i | \(-0.233062\pi\) |
0.140017 | + | 0.990149i | \(0.455284\pi\) | |||||||
\(258\) | −2884.69 | + | 15216.0i | −0.00269805 | + | 0.0142315i | ||||
\(259\) | −18723.5 | + | 106186.i | −0.0173435 | + | 0.0983599i | ||||
\(260\) | −547126. | − | 947650.i | −0.501943 | − | 0.869390i | ||||
\(261\) | −925733. | − | 364092.i | −0.841171 | − | 0.330834i | ||||
\(262\) | −36850.0 | + | 63826.1i | −0.0331653 | + | 0.0574441i | ||||
\(263\) | 651289. | + | 546496.i | 0.580610 | + | 0.487190i | 0.885147 | − | 0.465311i | \(-0.154057\pi\) |
−0.304537 | + | 0.952500i | \(0.598502\pi\) | |||||||
\(264\) | −21321.7 | − | 38049.1i | −0.0188283 | − | 0.0335996i | ||||
\(265\) | 159928. | + | 906994.i | 0.139897 | + | 0.793396i | ||||
\(266\) | 1568.19 | − | 1315.87i | 0.00135892 | − | 0.00114027i | ||||
\(267\) | 534005. | − | 436535.i | 0.458424 | − | 0.374750i | ||||
\(268\) | −567026. | + | 206381.i | −0.482243 | + | 0.175522i | ||||
\(269\) | 1.73792e6 | 1.46437 | 0.732184 | − | 0.681107i | \(-0.238501\pi\) | ||||
0.732184 | + | 0.681107i | \(0.238501\pi\) | |||||||
\(270\) | −20660.0 | + | 32801.6i | −0.0172473 | + | 0.0273833i | ||||
\(271\) | −1.37830e6 | −1.14004 | −0.570019 | − | 0.821632i | \(-0.693064\pi\) | ||||
−0.570019 | + | 0.821632i | \(0.693064\pi\) | |||||||
\(272\) | −2.17893e6 | + | 793064.i | −1.78575 | + | 0.649959i | ||||
\(273\) | 20928.0 | + | 128290.i | 0.0169950 | + | 0.104180i | ||||
\(274\) | 47729.5 | − | 40049.8i | 0.0384070 | − | 0.0322273i | ||||
\(275\) | 41177.2 | + | 233528.i | 0.0328341 | + | 0.186212i | ||||
\(276\) | 5353.48 | − | 9003.79i | 0.00423022 | − | 0.00711463i | ||||
\(277\) | −428795. | − | 359802.i | −0.335777 | − | 0.281750i | 0.459272 | − | 0.888296i | \(-0.348110\pi\) |
−0.795049 | + | 0.606546i | \(0.792555\pi\) | |||||||
\(278\) | −23028.8 | + | 39887.1i | −0.0178714 | + | 0.0309543i | ||||
\(279\) | 1.49231e6 | + | 38290.1i | 1.14775 | + | 0.0294494i | ||||
\(280\) | −3404.93 | − | 5897.51i | −0.00259545 | − | 0.00449545i | ||||
\(281\) | −285700. | + | 1.62028e6i | −0.215846 | + | 1.22412i | 0.663586 | + | 0.748100i | \(0.269034\pi\) |
−0.879432 | + | 0.476024i | \(0.842078\pi\) | |||||||
\(282\) | −6759.77 | − | 5821.49i | −0.00506185 | − | 0.00435924i | ||||
\(283\) | 1.35790e6 | + | 494235.i | 1.00786 | + | 0.366832i | 0.792612 | − | 0.609726i | \(-0.208721\pi\) |
0.215252 | + | 0.976559i | \(0.430943\pi\) | |||||||
\(284\) | 2.28682e6 | + | 832333.i | 1.68242 | + | 0.612352i | ||||
\(285\) | 414996. | + | 357393.i | 0.302644 | + | 0.260635i | ||||
\(286\) | −6088.42 | + | 34529.2i | −0.00440139 | + | 0.0249615i | ||||
\(287\) | 18928.3 | + | 32784.8i | 0.0135646 | + | 0.0234946i | ||||
\(288\) | 93063.2 | − | 152045.i | 0.0661145 | − | 0.108017i | ||||
\(289\) | −1.88162e6 | + | 3.25906e6i | −1.32522 | + | 2.29534i | ||||
\(290\) | −32092.6 | − | 26928.8i | −0.0224083 | − | 0.0188028i | ||||
\(291\) | 727221. | − | 1.22308e6i | 0.503424 | − | 0.846687i | ||||
\(292\) | −258822. | − | 1.46785e6i | −0.177641 | − | 1.00745i | ||||
\(293\) | 589435. | − | 494594.i | 0.401113 | − | 0.336574i | −0.419811 | − | 0.907612i | \(-0.637904\pi\) |
0.820924 | + | 0.571038i | \(0.193459\pi\) | |||||||
\(294\) | −10032.2 | − | 61497.8i | −0.00676905 | − | 0.0414946i | ||||
\(295\) | −1.04751e6 | + | 381261.i | −0.700812 | + | 0.255075i | ||||
\(296\) | −158590. | −0.105208 | ||||||||
\(297\) | −659312. | + | 211622.i | −0.433710 | + | 0.139210i | ||||
\(298\) | 69459.7 | 0.0453098 | ||||||||
\(299\) | −15839.9 | + | 5765.26i | −0.0102465 | + | 0.00372942i | ||||
\(300\) | −500098. | + | 408817.i | −0.320813 | + | 0.262257i | ||||
\(301\) | −33086.5 | + | 27762.8i | −0.0210491 | + | 0.0176623i | ||||
\(302\) | −6173.26 | − | 35010.3i | −0.00389491 | − | 0.0220891i | ||||
\(303\) | −707087. | − | 1.26181e6i | −0.442452 | − | 0.789567i | ||||
\(304\) | −641174. | − | 538009.i | −0.397916 | − | 0.333891i | ||||
\(305\) | 883331. | − | 1.52997e6i | 0.543718 | − | 0.941747i | ||||
\(306\) | −19643.1 | − | 130962.i | −0.0119924 | − | 0.0799545i | ||||
\(307\) | 406448. | + | 703989.i | 0.246127 | + | 0.426304i | 0.962448 | − | 0.271467i | \(-0.0875087\pi\) |
−0.716321 | + | 0.697771i | \(0.754175\pi\) | |||||||
\(308\) | 10551.7 | − | 59841.8i | 0.00633792 | − | 0.0359442i | ||||
\(309\) | 339542. | − | 1.79099e6i | 0.202300 | − | 1.06708i | ||||
\(310\) | 59077.1 | + | 21502.3i | 0.0349153 | + | 0.0127081i | ||||
\(311\) | 1.90041e6 | + | 691691.i | 1.11415 | + | 0.405519i | 0.832516 | − | 0.554001i | \(-0.186900\pi\) |
0.281639 | + | 0.959520i | \(0.409122\pi\) | |||||||
\(312\) | −180479. | + | 63079.6i | −0.104964 | + | 0.0366862i | ||||
\(313\) | 263796. | − | 1.49606e6i | 0.152197 | − | 0.863154i | −0.809106 | − | 0.587662i | \(-0.800048\pi\) |
0.961304 | − | 0.275491i | \(-0.0888406\pi\) | |||||||
\(314\) | 45598.0 | + | 78978.1i | 0.0260989 | + | 0.0452046i | ||||
\(315\) | −102508. | + | 34358.7i | −0.0582076 | + | 0.0195101i | ||||
\(316\) | 418195. | − | 724336.i | 0.235593 | − | 0.408058i | ||||
\(317\) | −853604. | − | 716259.i | −0.477099 | − | 0.400333i | 0.372277 | − | 0.928122i | \(-0.378577\pi\) |
−0.849376 | + | 0.527788i | \(0.823021\pi\) | |||||||
\(318\) | 80377.6 | + | 1031.01i | 0.0445725 | + | 0.000571735i | ||||
\(319\) | −129944. | − | 736948.i | −0.0714955 | − | 0.405471i | ||||
\(320\) | −1.06165e6 | + | 890831.i | −0.579571 | + | 0.486318i | ||||
\(321\) | −2.38949e6 | − | 904576.i | −1.29432 | − | 0.489984i | ||||
\(322\) | −49.2441 | + | 17.9234i | −2.64676e−5 | + | 9.63342e-6i | ||||
\(323\) | −1.87092e6 | −0.997810 | ||||||||
\(324\) | −1.38082e6 | − | 1.28492e6i | −0.730762 | − | 0.680007i | ||||
\(325\) | 1.03943e6 | 0.545869 | ||||||||
\(326\) | −129532. | + | 47146.0i | −0.0675048 | + | 0.0245697i | ||||
\(327\) | 2.17881e6 | + | 824822.i | 1.12681 | + | 0.426570i | ||||
\(328\) | −42653.6 | + | 35790.6i | −0.0218913 | + | 0.0183690i | ||||
\(329\) | −4320.28 | − | 24501.5i | −0.00220050 | − | 0.0124797i | ||||
\(330\) | −29159.5 | − | 374.031i | −0.0147399 | − | 0.000189070i | ||||
\(331\) | −971190. | − | 814926.i | −0.487230 | − | 0.408835i | 0.365802 | − | 0.930693i | \(-0.380795\pi\) |
−0.853033 | + | 0.521858i | \(0.825239\pi\) | |||||||
\(332\) | 1.67759e6 | − | 2.90567e6i | 0.835297 | − | 1.44678i | ||||
\(333\) | −500660. | + | 2.46748e6i | −0.247419 | + | 1.21939i | ||||
\(334\) | −79788.6 | − | 138198.i | −0.0391359 | − | 0.0677853i | ||||
\(335\) | −140242. | + | 795352.i | −0.0682757 | + | 0.387211i | ||||
\(336\) | 155972. | − | 54513.9i | 0.0753699 | − | 0.0263426i | ||||
\(337\) | 35977.4 | + | 13094.7i | 0.0172566 | + | 0.00628089i | 0.350634 | − | 0.936513i | \(-0.385966\pi\) |
−0.333377 | + | 0.942793i | \(0.608188\pi\) | |||||||
\(338\) | 60903.0 | + | 22166.9i | 0.0289966 | + | 0.0105539i | ||||
\(339\) | 433649. | − | 2.28739e6i | 0.204946 | − | 1.08104i | ||||
\(340\) | −539882. | + | 3.06182e6i | −0.253280 | + | 1.43642i | ||||
\(341\) | 561486. | + | 972522.i | 0.261489 | + | 0.452911i | ||||
\(342\) | 37394.3 | − | 29776.9i | 0.0172878 | − | 0.0137662i | ||||
\(343\) | 174340. | − | 301965.i | 0.0800131 | − | 0.138587i | ||||
\(344\) | −48664.3 | − | 40834.2i | −0.0221725 | − | 0.0186049i | ||||
\(345\) | −6853.71 | − | 12230.6i | −0.00310012 | − | 0.00553224i | ||||
\(346\) | −6469.59 | − | 36690.9i | −0.00290527 | − | 0.0164766i | ||||
\(347\) | −336446. | + | 282311.i | −0.150000 | + | 0.125865i | −0.714699 | − | 0.699432i | \(-0.753437\pi\) |
0.564699 | + | 0.825297i | \(0.308992\pi\) | |||||||
\(348\) | 1.57817e6 | − | 1.29011e6i | 0.698563 | − | 0.571057i | ||||
\(349\) | −2.14147e6 | + | 779432.i | −0.941128 | + | 0.342543i | −0.766611 | − | 0.642111i | \(-0.778059\pi\) |
−0.174517 | + | 0.984654i | \(0.555836\pi\) | |||||||
\(350\) | 3231.45 | 0.00141003 | ||||||||
\(351\) | 411683. | + | 3.00719e6i | 0.178359 | + | 1.30285i | ||||
\(352\) | 134102. | 0.0576870 | ||||||||
\(353\) | 586126. | − | 213333.i | 0.250354 | − | 0.0911214i | −0.213795 | − | 0.976879i | \(-0.568582\pi\) |
0.464149 | + | 0.885757i | \(0.346360\pi\) | |||||||
\(354\) | 15664.7 | + | 96025.3i | 0.00664376 | + | 0.0407265i | ||||
\(355\) | 2.49511e6 | − | 2.09365e6i | 1.05080 | − | 0.881724i | ||||
\(356\) | 245424. | + | 1.39187e6i | 0.102634 | + | 0.582067i | ||||
\(357\) | 188748. | − | 317448.i | 0.0783813 | − | 0.131826i | ||||
\(358\) | 84935.3 | + | 71269.2i | 0.0350252 | + | 0.0293896i | ||||
\(359\) | −479880. | + | 831177.i | −0.196515 | + | 0.340375i | −0.947396 | − | 0.320063i | \(-0.896296\pi\) |
0.750881 | + | 0.660438i | \(0.229629\pi\) | |||||||
\(360\) | −75948.8 | − | 139705.i | −0.0308862 | − | 0.0568138i | ||||
\(361\) | 900382. | + | 1.55951e6i | 0.363629 | + | 0.629824i | ||||
\(362\) | 4593.04 | − | 26048.4i | 0.00184217 | − | 0.0104474i | ||||
\(363\) | 1.50762e6 | + | 1.29836e6i | 0.600519 | + | 0.517164i | ||||
\(364\) | −250293. | − | 91099.3i | −0.0990138 | − | 0.0360381i | ||||
\(365\) | −1.87459e6 | − | 682295.i | −0.736503 | − | 0.268065i | ||||
\(366\) | −116839. | − | 100622.i | −0.0455918 | − | 0.0392635i | ||||
\(367\) | 399907. | − | 2.26798e6i | 0.154986 | − | 0.878971i | −0.803812 | − | 0.594883i | \(-0.797198\pi\) |
0.958798 | − | 0.284088i | \(-0.0916907\pi\) | |||||||
\(368\) | 10713.1 | + | 18555.7i | 0.00412379 | + | 0.00714261i | ||||
\(369\) | 422206. | + | 776631.i | 0.161421 | + | 0.296926i | ||||
\(370\) | −53017.3 | + | 91828.6i | −0.0201332 | + | 0.0348717i | ||||
\(371\) | 171733. | + | 144101.i | 0.0647766 | + | 0.0543540i | ||||
\(372\) | −1.56332e6 | + | 2.62928e6i | −0.585719 | + | 0.985096i | ||||
\(373\) | 224484. | + | 1.27311e6i | 0.0835436 | + | 0.473799i | 0.997661 | + | 0.0683506i | \(0.0217736\pi\) |
−0.914118 | + | 0.405449i | \(0.867115\pi\) | |||||||
\(374\) | 76313.2 | − | 64034.3i | 0.0282111 | − | 0.0236719i | ||||
\(375\) | 474503. | + | 2.90872e6i | 0.174245 | + | 1.06813i | ||||
\(376\) | 34386.4 | − | 12515.6i | 0.0125435 | − | 0.00456545i | ||||
\(377\) | −3.28016e6 | −1.18862 | ||||||||
\(378\) | 1279.87 | + | 9348.94i | 0.000460718 | + | 0.00336537i | ||||
\(379\) | 1.37520e6 | 0.491777 | 0.245888 | − | 0.969298i | \(-0.420920\pi\) | ||||
0.245888 | + | 0.969298i | \(0.420920\pi\) | |||||||
\(380\) | −1.05458e6 | + | 383836.i | −0.374645 | + | 0.136360i | ||||
\(381\) | 780699. | − | 638201.i | 0.275532 | − | 0.225240i | ||||
\(382\) | 82909.8 | − | 69569.6i | 0.0290702 | − | 0.0243928i | ||||
\(383\) | −251350. | − | 1.42548e6i | −0.0875552 | − | 0.496550i | −0.996776 | − | 0.0802359i | \(-0.974433\pi\) |
0.909221 | − | 0.416314i | \(-0.136678\pi\) | |||||||
\(384\) | 238024. | + | 424759.i | 0.0823744 | + | 0.146999i | ||||
\(385\) | −62301.4 | − | 52277.1i | −0.0214213 | − | 0.0179746i | ||||
\(386\) | −80347.1 | + | 139165.i | −0.0274475 | + | 0.0475404i | ||||
\(387\) | −788963. | + | 628249.i | −0.267781 | + | 0.213233i | ||||
\(388\) | 1.45790e6 | + | 2.52515e6i | 0.491641 | + | 0.851547i | ||||
\(389\) | 476167. | − | 2.70048e6i | 0.159546 | − | 0.904829i | −0.794966 | − | 0.606655i | \(-0.792511\pi\) |
0.954511 | − | 0.298175i | \(-0.0963778\pi\) | |||||||
\(390\) | −23809.9 | + | 125591.i | −0.00792676 | + | 0.0418116i | ||||
\(391\) | 45005.4 | + | 16380.6i | 0.0148875 | + | 0.00541861i | ||||
\(392\) | 240180. | + | 87418.3i | 0.0789444 | + | 0.0287334i | ||||
\(393\) | −4.53072e6 | + | 1.58354e6i | −1.47974 | + | 0.517186i | ||||
\(394\) | −25212.3 | + | 142986.i | −0.00818224 | + | 0.0464038i | ||||
\(395\) | −559719. | − | 969461.i | −0.180500 | − | 0.312635i | ||||
\(396\) | 282150. | − | 1.39056e6i | 0.0904154 | − | 0.445608i | ||||
\(397\) | 1.87457e6 | − | 3.24686e6i | 0.596934 | − | 1.03392i | −0.396337 | − | 0.918105i | \(-0.629719\pi\) |
0.993271 | − | 0.115814i | \(-0.0369478\pi\) | |||||||
\(398\) | 765.846 | + | 642.621i | 0.000242345 | + | 0.000203352i | ||||
\(399\) | 133301. | + | 1709.87i | 0.0419182 | + | 0.000537687i | ||||
\(400\) | −229427. | − | 1.30115e6i | −0.0716961 | − | 0.406609i | ||||
\(401\) | 18934.1 | − | 15887.6i | 0.00588010 | − | 0.00493399i | −0.639843 | − | 0.768506i | \(-0.721001\pi\) |
0.645723 | + | 0.763572i | \(0.276556\pi\) | |||||||
\(402\) | 65924.0 | + | 24956.5i | 0.0203460 | + | 0.00770226i | ||||
\(403\) | 4.62556e6 | − | 1.68357e6i | 1.41874 | − | 0.516378i | ||||
\(404\) | 2.96391e6 | 0.903465 | ||||||||
\(405\) | −2.41341e6 | + | 740636.i | −0.731128 | + | 0.224371i | ||||
\(406\) | −10197.6 | −0.00307030 | ||||||||
\(407\) | −1.77979e6 | + | 647789.i | −0.532577 | + | 0.193842i | ||||
\(408\) | 508023. | + | 192320.i | 0.151089 | + | 0.0571970i | ||||
\(409\) | 466811. | − | 391701.i | 0.137985 | − | 0.115784i | −0.571183 | − | 0.820823i | \(-0.693515\pi\) |
0.709168 | + | 0.705039i | \(0.249071\pi\) | |||||||
\(410\) | 6464.63 | + | 36662.7i | 0.00189926 | + | 0.0107712i | ||||
\(411\) | 4.05717e6 | + | 52041.6i | 1.18473 | + | 0.0151966i | ||||
\(412\) | 2.86144e6 | + | 2.40103e6i | 0.830503 | + | 0.696875i | ||||
\(413\) | −135671. | + | 234989.i | −0.0391392 | + | 0.0677910i | ||||
\(414\) | −1160.24 | + | 388.890i | −0.000332695 | + | 0.000111513i | ||||
\(415\) | −2.24531e6 | − | 3.88900e6i | −0.639965 | − | 1.10845i | ||||
\(416\) | 102074. | − | 578889.i | 0.0289188 | − | 0.164007i | ||||
\(417\) | −2.83140e6 | + | 989606.i | −0.797372 | + | 0.278690i | ||||
\(418\) | 33790.6 | + | 12298.8i | 0.00945923 | + | 0.00344288i | ||||
\(419\) | −4.29315e6 | − | 1.56258e6i | −1.19465 | − | 0.434818i | −0.333297 | − | 0.942822i | \(-0.608161\pi\) |
−0.861355 | + | 0.508004i | \(0.830383\pi\) | |||||||
\(420\) | 41264.5 | − | 217659.i | 0.0114144 | − | 0.0602080i | ||||
\(421\) | 7495.15 | − | 42507.1i | 0.00206099 | − | 0.0116884i | −0.983760 | − | 0.179489i | \(-0.942555\pi\) |
0.985821 | + | 0.167801i | \(0.0536666\pi\) | |||||||
\(422\) | −30274.4 | − | 52436.8i | −0.00827550 | − | 0.0143336i | ||||
\(423\) | −86173.0 | − | 574525.i | −0.0234164 | − | 0.156120i | ||||
\(424\) | −164865. | + | 285555.i | −0.0445363 | + | 0.0771391i | ||||
\(425\) | −2.26236e6 | − | 1.89834e6i | −0.607560 | − | 0.509803i | ||||
\(426\) | −138973. | − | 248001.i | −0.0371028 | − | 0.0662109i | ||||
\(427\) | −74674.0 | − | 423497.i | −0.0198198 | − | 0.112404i | ||||
\(428\) | 4.01060e6 | − | 3.36529e6i | 1.05828 | − | 0.888001i | ||||
\(429\) | −1.76778e6 | + | 1.44511e6i | −0.463751 | + | 0.379105i | ||||
\(430\) | −39912.9 | + | 14527.1i | −0.0104098 | + | 0.00378885i | ||||
\(431\) | −522848. | −0.135576 | −0.0677879 | − | 0.997700i | \(-0.521594\pi\) | ||||
−0.0677879 | + | 0.997700i | \(0.521594\pi\) | |||||||
\(432\) | 3.67349e6 | − | 1.17910e6i | 0.947043 | − | 0.303977i | ||||
\(433\) | −6.99922e6 | −1.79403 | −0.897016 | − | 0.441998i | \(-0.854270\pi\) | ||||
−0.897016 | + | 0.441998i | \(0.854270\pi\) | |||||||
\(434\) | 14380.2 | − | 5233.97i | 0.00366472 | − | 0.00133385i | ||||
\(435\) | −439248. | − | 2.69261e6i | −0.111298 | − | 0.682261i | ||||
\(436\) | −3.65700e6 | + | 3.06858e6i | −0.921316 | + | 0.773076i | ||||
\(437\) | 3002.02 | + | 17025.3i | 0.000751987 | + | 0.00426473i | ||||
\(438\) | −88984.8 | + | 149660.i | −0.0221631 | + | 0.0372752i | ||||
\(439\) | −1.82734e6 | − | 1.53332e6i | −0.452541 | − | 0.379727i | 0.387837 | − | 0.921728i | \(-0.373222\pi\) |
−0.840378 | + | 0.542001i | \(0.817667\pi\) | |||||||
\(440\) | 59810.0 | − | 103594.i | 0.0147280 | − | 0.0255096i | ||||
\(441\) | 2.11836e6 | − | 3.46095e6i | 0.518685 | − | 0.847420i | ||||
\(442\) | −218336. | − | 378169.i | −0.0531581 | − | 0.0920725i | ||||
\(443\) | −569355. | + | 3.22897e6i | −0.137839 | + | 0.781726i | 0.835001 | + | 0.550249i | \(0.185467\pi\) |
−0.972840 | + | 0.231478i | \(0.925644\pi\) | |||||||
\(444\) | −3.90932e6 | − | 3.36669e6i | −0.941118 | − | 0.810487i | ||||
\(445\) | 1.77755e6 | + | 646976.i | 0.425522 | + | 0.154878i | ||||
\(446\) | −85083.7 | − | 30967.9i | −0.0202539 | − | 0.00737182i | ||||
\(447\) | 3.42750e6 | + | 2.95175e6i | 0.811352 | + | 0.698733i | ||||
\(448\) | −58579.3 | + | 332220.i | −0.0137895 | + | 0.0782042i | ||||
\(449\) | 1.13802e6 | + | 1.97111e6i | 0.266400 | + | 0.461419i | 0.967930 | − | 0.251222i | \(-0.0808324\pi\) |
−0.701529 | + | 0.712641i | \(0.747499\pi\) | |||||||
\(450\) | 75431.6 | + | 1935.45i | 0.0175599 | + | 0.000450558i | ||||
\(451\) | −332490. | + | 575889.i | −0.0769727 | + | 0.133321i | ||||
\(452\) | 3.65451e6 | + | 3.06650e6i | 0.841363 | + | 0.705988i | ||||
\(453\) | 1.18317e6 | − | 1.98993e6i | 0.270896 | − | 0.455609i | ||||
\(454\) | −24810.9 | − | 140710.i | −0.00564941 | − | 0.0320394i | ||||
\(455\) | −273091. | + | 229151.i | −0.0618414 | + | 0.0518911i | ||||
\(456\) | 31569.2 | + | 193521.i | 0.00710971 | + | 0.0435828i | ||||
\(457\) | 1.88674e6 | − | 686717.i | 0.422592 | − | 0.153811i | −0.121966 | − | 0.992534i | \(-0.538920\pi\) |
0.544558 | + | 0.838723i | \(0.316698\pi\) | |||||||
\(458\) | 87267.4 | 0.0194396 | ||||||||
\(459\) | 4.59607e6 | − | 7.29711e6i | 1.01825 | − | 1.61666i | ||||
\(460\) | 28728.8 | 0.00633028 | ||||||||
\(461\) | 7.58603e6 | − | 2.76109e6i | 1.66250 | − | 0.605101i | 0.671748 | − | 0.740779i | \(-0.265544\pi\) |
0.990753 | + | 0.135678i | \(0.0433214\pi\) | |||||||
\(462\) | −5495.78 | + | 4492.66i | −0.00119791 | + | 0.000979261i | ||||
\(463\) | −4.39970e6 | + | 3.69179e6i | −0.953830 | + | 0.800358i | −0.979938 | − | 0.199301i | \(-0.936133\pi\) |
0.0261088 | + | 0.999659i | \(0.491688\pi\) | |||||||
\(464\) | 724008. | + | 4.10606e6i | 0.156116 | + | 0.885380i | ||||
\(465\) | 2.00141e6 | + | 3.57157e6i | 0.429244 | + | 0.765997i | ||||
\(466\) | −99112.1 | − | 83165.0i | −0.0211428 | − | 0.0177409i | ||||
\(467\) | −3.73526e6 | + | 6.46967e6i | −0.792554 | + | 1.37274i | 0.131826 | + | 0.991273i | \(0.457916\pi\) |
−0.924380 | + | 0.381472i | \(0.875417\pi\) | |||||||
\(468\) | −5.78801e6 | − | 2.27644e6i | −1.22156 | − | 0.480442i | ||||
\(469\) | 98293.2 | + | 170249.i | 0.0206344 | + | 0.0357398i | ||||
\(470\) | 4248.57 | − | 24094.8i | 0.000887152 | − | 0.00503129i | ||||
\(471\) | −1.10620e6 | + | 5.83491e6i | −0.229764 | + | 1.21194i | ||||
\(472\) | −375027. | − | 136499.i | −0.0774832 | − | 0.0282016i | ||||
\(473\) | −712932. | − | 259486.i | −0.146519 | − | 0.0533287i | ||||
\(474\) | −92233.9 | + | 32236.8i | −0.0188558 | + | 0.00659031i | ||||
\(475\) | 185116. | − | 1.04984e6i | 0.0376451 | − | 0.213496i | ||||
\(476\) | 378394. | + | 655397.i | 0.0765467 | + | 0.132583i | ||||
\(477\) | 3.92244e6 | + | 3.46659e6i | 0.789332 | + | 0.697601i | ||||
\(478\) | −136113. | + | 235754.i | −0.0272477 | + | 0.0471944i | ||||
\(479\) | 1.61591e6 | + | 1.35591e6i | 0.321794 | + | 0.270017i | 0.789346 | − | 0.613948i | \(-0.210420\pi\) |
−0.467552 | + | 0.883965i | \(0.654864\pi\) | |||||||
\(480\) | 488866. | + | 6270.72i | 0.0968472 | + | 0.00124226i | ||||
\(481\) | 1.44166e6 | + | 8.17605e6i | 0.284118 | + | 1.61132i | ||||
\(482\) | 85881.3 | − | 72063.0i | 0.0168376 | − | 0.0141285i | ||||
\(483\) | −3191.63 | − | 1208.24i | −0.000622508 | − | 0.000235659i | ||||
\(484\) | −3.83115e6 | + | 1.39442e6i | −0.743388 | + | 0.270571i | ||||
\(485\) | 3.90254e6 | 0.753344 | ||||||||
\(486\) | 24276.4 | + | 218998.i | 0.00466222 | + | 0.0420581i | ||||
\(487\) | 3.05549e6 | 0.583793 | 0.291896 | − | 0.956450i | \(-0.405714\pi\) | ||||
0.291896 | + | 0.956450i | \(0.405714\pi\) | |||||||
\(488\) | 594353. | − | 216327.i | 0.112978 | − | 0.0411208i | ||||
\(489\) | −8.39531e6 | − | 3.17817e6i | −1.58769 | − | 0.601042i | ||||
\(490\) | 130911. | − | 109847.i | 0.0246312 | − | 0.0206680i | ||||
\(491\) | 340940. | + | 1.93357e6i | 0.0638226 | + | 0.361956i | 0.999947 | + | 0.0102870i | \(0.00327452\pi\) |
−0.936125 | + | 0.351669i | \(0.885614\pi\) | |||||||
\(492\) | −1.81123e6 | − | 23232.7i | −0.337334 | − | 0.00432701i | ||||
\(493\) | 7.13937e6 | + | 5.99064e6i | 1.32295 | + | 1.11008i | ||||
\(494\) | 78811.6 | − | 136506.i | 0.0145302 | − | 0.0251671i | ||||
\(495\) | −1.42299e6 | − | 1.25762e6i | −0.261029 | − | 0.230693i | ||||
\(496\) | −3.12843e6 | − | 5.41860e6i | −0.570982 | − | 0.988970i | ||||
\(497\) | 137674. | − | 780788.i | 0.0250012 | − | 0.141789i | ||||
\(498\) | −369996. | + | 129318.i | −0.0668535 | + | 0.0233661i | ||||
\(499\) | −8.58872e6 | − | 3.12604e6i | −1.54411 | − | 0.562008i | −0.577080 | − | 0.816688i | \(-0.695808\pi\) |
−0.967026 | + | 0.254680i | \(0.918030\pi\) | |||||||
\(500\) | −5.67492e6 | − | 2.06550e6i | −1.01516 | − | 0.369488i | ||||
\(501\) | 1.93566e6 | − | 1.02101e7i | 0.344536 | − | 1.81734i | ||||
\(502\) | −26811.1 | + | 152053.i | −0.00474849 | + | 0.0269300i | ||||
\(503\) | 2.27101e6 | + | 3.93350e6i | 0.400220 | + | 0.693201i | 0.993752 | − | 0.111609i | \(-0.0356004\pi\) |
−0.593532 | + | 0.804810i | \(0.702267\pi\) | |||||||
\(504\) | −36020.5 | − | 14166.9i | −0.00631646 | − | 0.00248427i | ||||
\(505\) | 1.98347e6 | − | 3.43547e6i | 0.346096 | − | 0.599456i | ||||
\(506\) | −705.162 | − | 591.701i | −0.000122437 | − | 0.000102737i | ||||
\(507\) | 2.06327e6 | + | 3.68196e6i | 0.356481 | + | 0.636149i | ||||
\(508\) | 358802. | + | 2.03487e6i | 0.0616873 | + | 0.349846i | ||||
\(509\) | 3.85363e6 | − | 3.23358e6i | 0.659289 | − | 0.553209i | −0.250584 | − | 0.968095i | \(-0.580623\pi\) |
0.909874 | + | 0.414885i | \(0.136178\pi\) | |||||||
\(510\) | 281193. | − | 229868.i | 0.0478717 | − | 0.0391339i | ||||
\(511\) | −456302. | + | 166080.i | −0.0773037 | + | 0.0281362i | ||||
\(512\) | −1.24604e6 | −0.210066 | ||||||||
\(513\) | 3.11062e6 | + | 119753.i | 0.521860 | + | 0.0200906i | ||||
\(514\) | 238366. | 0.0397957 | ||||||||
\(515\) | 4.69793e6 | − | 1.70991e6i | 0.780528 | − | 0.284089i | ||||
\(516\) | −332733. | − | 2.03967e6i | −0.0550139 | − | 0.337237i | ||||
\(517\) | 334782. | − | 280915.i | 0.0550852 | − | 0.0462220i | ||||
\(518\) | 4481.91 | + | 25418.2i | 0.000733903 | + | 0.00416217i | ||||
\(519\) | 1.23997e6 | − | 2.08545e6i | 0.202065 | − | 0.339845i | ||||
\(520\) | −401668. | − | 337040.i | −0.0651417 | − | 0.0546604i | ||||
\(521\) | −558858. | + | 967971.i | −0.0902002 | + | 0.156231i | −0.907595 | − | 0.419846i | \(-0.862084\pi\) |
0.817395 | + | 0.576077i | \(0.195417\pi\) | |||||||
\(522\) | −238041. | − | 6107.73i | −0.0382362 | − | 0.000981078i | ||||
\(523\) | −1.12279e6 | − | 1.94473e6i | −0.179492 | − | 0.310889i | 0.762215 | − | 0.647324i | \(-0.224112\pi\) |
−0.941707 | + | 0.336435i | \(0.890779\pi\) | |||||||
\(524\) | 1.70778e6 | − | 9.68532e6i | 0.271709 | − | 1.54094i | ||||
\(525\) | 159457. | + | 137323.i | 0.0252490 | + | 0.0217443i | ||||
\(526\) | 191242. | + | 69606.3i | 0.0301383 | + | 0.0109694i | ||||
\(527\) | −1.31424e7 | − | 4.78345e6i | −2.06133 | − | 0.750264i | ||||
\(528\) | 2.19916e6 | + | 1.89391e6i | 0.343299 | + | 0.295648i | ||||
\(529\) | −1.11758e6 | + | 6.33812e6i | −0.173636 | + | 0.984740i | ||||
\(530\) | 110230. | + | 190924.i | 0.0170455 | + | 0.0295237i | ||||
\(531\) | −3.30770e6 | + | 5.40407e6i | −0.509085 | + | 0.831735i | ||||
\(532\) | −136587. | + | 236576.i | −0.0209233 | + | 0.0362402i | ||||
\(533\) | 2.23291e6 | + | 1.87364e6i | 0.340450 | + | 0.285672i | ||||
\(534\) | 84378.5 | − | 141913.i | 0.0128050 | − | 0.0215362i | ||||
\(535\) | −1.21679e6 | − | 6.90077e6i | −0.183794 | − | 1.04235i | ||||
\(536\) | −221497. | + | 185858.i | −0.0333009 | + | 0.0279427i | ||||
\(537\) | 1.16250e6 | + | 7.12619e6i | 0.173964 | + | 1.06640i | ||||
\(538\) | 390925. | − | 142285.i | 0.0582288 | − | 0.0211936i | ||||
\(539\) | 3.05251e6 | 0.452569 | ||||||||
\(540\) | 1.09360e6 | − | 5.05609e6i | 0.161389 | − | 0.746158i | ||||
\(541\) | 3.75984e6 | 0.552302 | 0.276151 | − | 0.961114i | \(-0.410941\pi\) | ||||
0.276151 | + | 0.961114i | \(0.410941\pi\) | |||||||
\(542\) | −310031. | + | 112842.i | −0.0453322 | + | 0.0164996i | ||||
\(543\) | 1.33360e6 | − | 1.09018e6i | 0.194100 | − | 0.158671i | ||||
\(544\) | −1.27941e6 | + | 1.07355e6i | −0.185358 | + | 0.155534i | ||||
\(545\) | 1.10951e6 | + | 6.29235e6i | 0.160007 | + | 0.907447i | ||||
\(546\) | 15210.7 | + | 27143.8i | 0.00218357 | + | 0.00389663i | ||||
\(547\) | −4.62555e6 | − | 3.88130e6i | −0.660991 | − | 0.554637i | 0.249393 | − | 0.968402i | \(-0.419769\pi\) |
−0.910384 | + | 0.413765i | \(0.864213\pi\) | |||||||
\(548\) | −4.15717e6 | + | 7.20042e6i | −0.591352 | + | 1.02425i | ||||
\(549\) | −1.48946e6 | − | 9.93039e6i | −0.210910 | − | 1.40616i | ||||
\(550\) | 28381.4 | + | 49158.0i | 0.00400062 | + | 0.00692928i | ||||
\(551\) | −584173. | + | 3.31301e6i | −0.0819714 | + | 0.464883i | ||||
\(552\) | 934.945 | − | 4931.59i | 0.000130599 | − | 0.000688873i | ||||
\(553\) | −256054. | − | 93196.0i | −0.0356056 | − | 0.0129594i | ||||
\(554\) | −125910. | − | 45827.3i | −0.0174295 | − | 0.00634381i | ||||
\(555\) | −6.51848e6 | + | 2.27828e6i | −0.898285 | + | 0.313961i | ||||
\(556\) | 1.06725e6 | − | 6.05268e6i | 0.146413 | − | 0.830349i | ||||
\(557\) | −4.88291e6 | − | 8.45744e6i | −0.666869 | − | 1.15505i | −0.978775 | − | 0.204938i | \(-0.934301\pi\) |
0.311906 | − | 0.950113i | \(-0.399033\pi\) | |||||||
\(558\) | 338811. | − | 113563.i | 0.0460651 | − | 0.0154402i | ||||
\(559\) | −1.66281e6 | + | 2.88007e6i | −0.225067 | + | 0.389828i | ||||
\(560\) | 347125. | + | 291273.i | 0.0467752 | + | 0.0392491i | ||||
\(561\) | 6.48688e6 | + | 83207.6i | 0.870220 | + | 0.0111624i | ||||
\(562\) | 68389.1 | + | 387854.i | 0.00913368 | + | 0.0517997i | ||||
\(563\) | 6.64600e6 | − | 5.57666e6i | 0.883668 | − | 0.741486i | −0.0832617 | − | 0.996528i | \(-0.526534\pi\) |
0.966930 | + | 0.255042i | \(0.0820893\pi\) | |||||||
\(564\) | 1.11334e6 | + | 421469.i | 0.147377 | + | 0.0557915i | ||||
\(565\) | 6.00001e6 | − | 2.18383e6i | 0.790735 | − | 0.287804i | ||||
\(566\) | 345907. | 0.0453856 | ||||||||
\(567\) | −334136. | + | 515714.i | −0.0436481 | + | 0.0673676i | ||||
\(568\) | 1.16612e6 | 0.151660 | ||||||||
\(569\) | −4.10478e6 | + | 1.49402e6i | −0.531508 | + | 0.193453i | −0.593811 | − | 0.804604i | \(-0.702377\pi\) |
0.0623037 | + | 0.998057i | \(0.480155\pi\) | |||||||
\(570\) | 122608. | + | 46415.1i | 0.0158064 | + | 0.00598374i | ||||
\(571\) | 4.62094e6 | − | 3.87743e6i | 0.593117 | − | 0.497684i | −0.296108 | − | 0.955154i | \(-0.595689\pi\) |
0.889225 | + | 0.457470i | \(0.151244\pi\) | |||||||
\(572\) | −812455. | − | 4.60766e6i | −0.103827 | − | 0.588831i | ||||
\(573\) | 7.04762e6 | + | 90400.2i | 0.896718 | + | 0.0115023i | ||||
\(574\) | 6941.81 | + | 5824.87i | 0.000879414 | + | 0.000737916i | ||||
\(575\) | −13644.8 | + | 23633.5i | −0.00172106 | + | 0.00298097i | ||||
\(576\) | −1.56639e6 | + | 7.71989e6i | −0.196718 | + | 0.969516i | ||||
\(577\) | −670217. | − | 1.16085e6i | −0.0838061 | − | 0.145156i | 0.821076 | − | 0.570819i | \(-0.193374\pi\) |
−0.904882 | + | 0.425663i | \(0.860041\pi\) | |||||||
\(578\) | −156426. | + | 887135.i | −0.0194755 | + | 0.110451i | ||||
\(579\) | −9.87869e6 | + | 3.45272e6i | −1.22462 | + | 0.428020i | ||||
\(580\) | 5.25328e6 | + | 1.91204e6i | 0.648427 | + | 0.236008i | ||||
\(581\) | −1.02716e6 | − | 373856.i | −0.126240 | − | 0.0459477i | ||||
\(582\) | 63444.9 | − | 334656.i | 0.00776407 | − | 0.0409535i | ||||
\(583\) | −683810. | + | 3.87808e6i | −0.0833228 | + | 0.472547i | ||||
\(584\) | −357105. | − | 618525.i | −0.0433276 | − | 0.0750456i | ||||
\(585\) | −6.51200e6 | + | 5.18548e6i | −0.786728 | + | 0.626469i | ||||
\(586\) | 92093.4 | − | 159510.i | 0.0110786 | − | 0.0191887i | ||||
\(587\) | −8.44352e6 | − | 7.08496e6i | −1.01141 | − | 0.848676i | −0.0228886 | − | 0.999738i | \(-0.507286\pi\) |
−0.988524 | + | 0.151062i | \(0.951731\pi\) | |||||||
\(588\) | 4.06475e6 | + | 7.25365e6i | 0.484832 | + | 0.865194i | ||||
\(589\) | −876647. | − | 4.97171e6i | −0.104121 | − | 0.590497i | ||||
\(590\) | −204410. | + | 171520.i | −0.0241753 | + | 0.0202855i | ||||
\(591\) | −7.32042e6 | + | 5.98426e6i | −0.862120 | + | 0.704760i | ||||
\(592\) | 9.91645e6 | − | 3.60929e6i | 1.16293 | − | 0.423270i | ||||
\(593\) | 3.96800e6 | 0.463378 | 0.231689 | − | 0.972790i | \(-0.425575\pi\) | ||||
0.231689 | + | 0.972790i | \(0.425575\pi\) | |||||||
\(594\) | −130979. | + | 101580.i | −0.0152312 | + | 0.0118125i | ||||
\(595\) | 1.01290e6 | 0.117293 | ||||||||
\(596\) | −8.70991e6 | + | 3.17015e6i | −1.00438 | + | 0.365564i | ||||
\(597\) | 10482.1 | + | 64255.6i | 0.00120368 | + | 0.00737862i | ||||
\(598\) | −3091.00 | + | 2593.65i | −0.000353464 | + | 0.000296592i | ||||
\(599\) | 1.63958e6 | + | 9.29850e6i | 0.186709 | + | 1.05888i | 0.923740 | + | 0.383019i | \(0.125116\pi\) |
−0.737032 | + | 0.675858i | \(0.763773\pi\) | |||||||
\(600\) | −158184. | + | 266042.i | −0.0179384 | + | 0.0301698i | ||||
\(601\) | 9.27279e6 | + | 7.78080e6i | 1.04719 | + | 0.878694i | 0.992795 | − | 0.119825i | \(-0.0382334\pi\) |
0.0543923 | + | 0.998520i | \(0.482678\pi\) | |||||||
\(602\) | −5169.44 | + | 8953.73i | −0.000581369 | + | 0.00100696i | ||||
\(603\) | 2.19248e6 | + | 4.03298e6i | 0.245552 | + | 0.451682i | ||||
\(604\) | 2.37197e6 | + | 4.10837e6i | 0.264556 | + | 0.458224i | ||||
\(605\) | −947554. | + | 5.37384e6i | −0.105248 | + | 0.596893i | ||||
\(606\) | −262356. | − | 225940.i | −0.0290208 | − | 0.0249926i | ||||
\(607\) | 1.06761e7 | + | 3.88577e6i | 1.17609 | + | 0.428060i | 0.854818 | − | 0.518928i | \(-0.173669\pi\) |
0.321268 | + | 0.946988i | \(0.395891\pi\) | |||||||
\(608\) | −566508. | − | 206192.i | −0.0621508 | − | 0.0226211i | ||||
\(609\) | −503200. | − | 433354.i | −0.0549791 | − | 0.0473478i | ||||
\(610\) | 73434.5 | − | 416468.i | 0.00799053 | − | 0.0453166i | ||||
\(611\) | −957827. | − | 1.65901e6i | −0.103797 | − | 0.179781i | ||||
\(612\) | 8.44028e6 | + | 1.55255e7i | 0.910916 | + | 1.67559i | ||||
\(613\) | −1.63113e6 | + | 2.82521e6i | −0.175323 | + | 0.303668i | −0.940273 | − | 0.340422i | \(-0.889430\pi\) |
0.764950 | + | 0.644089i | \(0.222764\pi\) | |||||||
\(614\) | 149062. | + | 125078.i | 0.0159568 | + | 0.0133893i | ||||
\(615\) | −1.23902e6 | + | 2.08385e6i | −0.132096 | + | 0.222166i | ||||
\(616\) | −5056.15 | − | 28674.9i | −0.000536869 | − | 0.00304473i | ||||
\(617\) | 5.85697e6 | − | 4.91458e6i | 0.619384 | − | 0.519725i | −0.278226 | − | 0.960516i | \(-0.589746\pi\) |
0.897610 | + | 0.440791i | \(0.145302\pi\) | |||||||
\(618\) | −70254.1 | − | 430661.i | −0.00739947 | − | 0.0453591i | ||||
\(619\) | −1.28260e7 | + | 4.66830e6i | −1.34545 | + | 0.489702i | −0.911523 | − | 0.411248i | \(-0.865093\pi\) |
−0.433922 | + | 0.900950i | \(0.642871\pi\) | |||||||
\(620\) | −8.38935e6 | −0.876494 | ||||||||
\(621\) | −73778.4 | − | 30115.4i | −0.00767715 | − | 0.00313372i | ||||
\(622\) | 484103. | 0.0501720 | ||||||||
\(623\) | 432681. | − | 157483.i | 0.0446630 | − | 0.0162560i | ||||
\(624\) | 9.84955e6 | − | 8.05175e6i | 1.01264 | − | 0.827807i | ||||
\(625\) | −3.08643e6 | + | 2.58982e6i | −0.316050 | + | 0.265197i | ||||
\(626\) | −63145.8 | − | 358118.i | −0.00644034 | − | 0.0365250i | ||||
\(627\) | 1.14476e6 | + | 2.04285e6i | 0.116291 | + | 0.207524i | ||||
\(628\) | −9.32233e6 | − | 7.82237e6i | −0.943247 | − | 0.791478i | ||||
\(629\) | 1.17943e7 | − | 2.04284e7i | 1.18863 | − | 2.05876i | ||||
\(630\) | −20244.9 | + | 16120.9i | −0.00203219 | + | 0.00161823i | ||||
\(631\) | 3.13718e6 | + | 5.43375e6i | 0.313665 | + | 0.543284i | 0.979153 | − | 0.203125i | \(-0.0651098\pi\) |
−0.665488 | + | 0.746409i | \(0.731776\pi\) | |||||||
\(632\) | 69594.6 | − | 394691.i | 0.00693079 | − | 0.0393065i | ||||
\(633\) | 734451. | − | 3.87404e6i | 0.0728540 | − | 0.384286i | ||||
\(634\) | −250649. | − | 91228.6i | −0.0247652 | − | 0.00901380i | ||||
\(635\) | 2.59873e6 | + | 945860.i | 0.255756 | + | 0.0930877i | ||||
\(636\) | −1.01260e7 | + | 3.53916e6i | −0.992649 | + | 0.346942i | ||||
\(637\) | 2.32347e6 | − | 1.31770e7i | 0.226876 | − | 1.28668i | ||||
\(638\) | −89563.7 | − | 155129.i | −0.00871125 | − | 0.0150883i | ||||
\(639\) | 3.68136e6 | − | 1.81434e7i | 0.356662 | − | 1.75779i | ||||
\(640\) | −667686. | + | 1.15647e6i | −0.0644351 | + | 0.111605i | ||||
\(641\) | −7.34401e6 | − | 6.16236e6i | −0.705973 | − | 0.592382i | 0.217493 | − | 0.976062i | \(-0.430212\pi\) |
−0.923466 | + | 0.383680i | \(0.874657\pi\) | |||||||
\(642\) | −611545. | − | 7844.32i | −0.0585586 | − | 0.000751134i | ||||
\(643\) | 1.08463e6 | + | 6.15125e6i | 0.103456 | + | 0.586727i | 0.991826 | + | 0.127599i | \(0.0407270\pi\) |
−0.888370 | + | 0.459128i | \(0.848162\pi\) | |||||||
\(644\) | 5356.95 | − | 4495.01i | 0.000508982 | − | 0.000427087i | ||||
\(645\) | −2.58685e6 | − | 979290.i | −0.244834 | − | 0.0926856i | ||||
\(646\) | −420840. | + | 153173.i | −0.0396767 | + | 0.0144411i | ||||
\(647\) | −1.31564e7 | −1.23560 | −0.617799 | − | 0.786336i | \(-0.711976\pi\) | ||||
−0.617799 | + | 0.786336i | \(0.711976\pi\) | |||||||
\(648\) | −832340. | − | 352272.i | −0.0778687 | − | 0.0329565i | ||||
\(649\) | −4.76632e6 | −0.444192 | ||||||||
\(650\) | 233808. | − | 85099.2i | 0.0217058 | − | 0.00790027i | ||||
\(651\) | 932016. | + | 352828.i | 0.0861928 | + | 0.0326295i | ||||
\(652\) | 1.40910e7 | − | 1.18237e7i | 1.29814 | − | 1.08927i | ||||
\(653\) | 3.57324e6 | + | 2.02648e7i | 0.327929 | + | 1.85978i | 0.488241 | + | 0.872709i | \(0.337639\pi\) |
−0.160313 | + | 0.987066i | \(0.551250\pi\) | |||||||
\(654\) | 557626. | + | 7152.71i | 0.0509799 | + | 0.000653922i | ||||
\(655\) | −1.00834e7 | − | 8.46098e6i | −0.918341 | − | 0.770579i | ||||
\(656\) | 1.85253e6 | − | 3.20868e6i | 0.168076 | − | 0.291117i | ||||
\(657\) | −1.07509e7 | + | 3.60350e6i | −0.971698 | + | 0.325695i | ||||
\(658\) | −2977.75 | − | 5157.61i | −0.000268117 | − | 0.000464391i | ||||
\(659\) | −1.35582e6 | + | 7.68924e6i | −0.121615 | + | 0.689715i | 0.861645 | + | 0.507511i | \(0.169434\pi\) |
−0.983261 | + | 0.182204i | \(0.941677\pi\) | |||||||
\(660\) | 3.67353e6 | − | 1.28394e6i | 0.328265 | − | 0.114732i | ||||
\(661\) | −1.01080e7 | − | 3.67900e6i | −0.899830 | − | 0.327511i | −0.149646 | − | 0.988740i | \(-0.547813\pi\) |
−0.750185 | + | 0.661228i | \(0.770035\pi\) | |||||||
\(662\) | −285176. | − | 103796.i | −0.0252911 | − | 0.00920522i | ||||
\(663\) | 5.29679e6 | − | 2.79392e7i | 0.467982 | − | 2.46848i | ||||
\(664\) | 279179. | − | 1.58330e6i | 0.0245732 | − | 0.139362i | ||||
\(665\) | 182810. | + | 316636.i | 0.0160304 | + | 0.0277656i | ||||
\(666\) | 89397.0 | + | 596019.i | 0.00780975 | + | 0.0520685i | ||||
\(667\) | 43059.1 | − | 74580.6i | 0.00374758 | − | 0.00649099i | ||||
\(668\) | 1.63125e7 | + | 1.36878e7i | 1.41442 | + | 1.18684i | ||||
\(669\) | −2.88246e6 | − | 5.14382e6i | −0.248999 | − | 0.444345i | ||||
\(670\) | 33570.3 | + | 190386.i | 0.00288913 | + | 0.0163851i | ||||
\(671\) | 5.78654e6 | − | 4.85548e6i | 0.496150 | − | 0.416319i | ||||
\(672\) | 92138.1 | − | 75320.5i | 0.00787075 | − | 0.00643413i | ||||
\(673\) | −1.62726e7 | + | 5.92273e6i | −1.38490 | + | 0.504063i | −0.923660 | − | 0.383213i | \(-0.874818\pi\) |
−0.461240 | + | 0.887275i | \(0.652595\pi\) | |||||||
\(674\) | 9164.76 | 0.000777090 | ||||||||
\(675\) | 3.63994e6 | + | 3.30104e6i | 0.307492 | + | 0.278863i | ||||
\(676\) | −8.64864e6 | −0.727915 | ||||||||
\(677\) | −5.62735e6 | + | 2.04819e6i | −0.471880 | + | 0.171750i | −0.567004 | − | 0.823715i | \(-0.691898\pi\) |
0.0951236 | + | 0.995465i | \(0.469675\pi\) | |||||||
\(678\) | −89725.8 | − | 550023.i | −0.00749623 | − | 0.0459522i | ||||
\(679\) | 727692. | − | 610606.i | 0.0605722 | − | 0.0508261i | ||||
\(680\) | 258699. | + | 1.46716e6i | 0.0214547 | + | 0.121676i | ||||
\(681\) | 4.75528e6 | − | 7.99771e6i | 0.392924 | − | 0.660842i | ||||
\(682\) | 205920. | + | 172788.i | 0.0169527 | + | 0.0142250i | ||||
\(683\) | 5.70090e6 | − | 9.87425e6i | 0.467618 | − | 0.809939i | −0.531697 | − | 0.846935i | \(-0.678446\pi\) |
0.999315 | + | 0.0369959i | \(0.0117788\pi\) | |||||||
\(684\) | −3.33004e6 | + | 5.44056e6i | −0.272150 | + | 0.444635i | ||||
\(685\) | 5.56401e6 | + | 9.63715e6i | 0.453066 | + | 0.784734i | ||||
\(686\) | 14493.5 | − | 82196.8i | 0.00117588 | − | 0.00666875i | ||||
\(687\) | 4.30623e6 | + | 3.70850e6i | 0.348101 | + | 0.299783i | ||||
\(688\) | 3.97225e6 | + | 1.44578e6i | 0.319937 | + | 0.116448i | ||||
\(689\) | 1.62204e7 | + | 5.90373e6i | 1.30170 | + | 0.473782i | ||||
\(690\) | −2542.99 | − | 2190.01i | −0.000203340 | − | 0.000175115i | ||||
\(691\) | −2.89204e6 | + | 1.64016e7i | −0.230414 | + | 1.30674i | 0.621646 | + | 0.783298i | \(0.286464\pi\) |
−0.852060 | + | 0.523444i | \(0.824647\pi\) | |||||||
\(692\) | 2.48583e6 | + | 4.30558e6i | 0.197336 | + | 0.341796i | ||||
\(693\) | −462110. | − | 11857.0i | −0.0365521 | − | 0.000937866i | ||||
\(694\) | −52566.4 | + | 91047.6i | −0.00414295 | + | 0.00717579i | ||||
\(695\) | −6.30146e6 | − | 5.28755e6i | −0.494856 | − | 0.415234i | ||||
\(696\) | 499183. | − | 839554.i | 0.0390604 | − | 0.0656940i | ||||
\(697\) | −1.43813e6 | − | 8.15605e6i | −0.112129 | − | 0.635914i | ||||
\(698\) | −417886. | + | 350648.i | −0.0324653 | + | 0.0272416i | ||||
\(699\) | −1.35654e6 | − | 8.31565e6i | −0.105012 | − | 0.643729i | ||||
\(700\) | −405208. | + | 147484.i | −0.0312560 | + | 0.0113763i | ||||
\(701\) | 9.07012e6 | 0.697137 | 0.348568 | − | 0.937283i | \(-0.386668\pi\) | ||||
0.348568 | + | 0.937283i | \(0.386668\pi\) | |||||||
\(702\) | 338804. | + | 642727.i | 0.0259481 | + | 0.0492247i | ||||
\(703\) | 8.51467e6 | 0.649800 | ||||||||
\(704\) | −5.56834e6 | + | 2.02671e6i | −0.423442 | + | 0.154120i | ||||
\(705\) | 1.23358e6 | − | 1.00842e6i | 0.0934746 | − | 0.0764131i | ||||
\(706\) | 114376. | − | 95973.2i | 0.00863624 | − | 0.00724666i | ||||
\(707\) | −167676. | − | 950939.i | −0.0126160 | − | 0.0715491i | ||||
\(708\) | −6.34688e6 | − | 1.13262e7i | −0.475858 | − | 0.849180i | ||||
\(709\) | −2.71131e6 | − | 2.27506e6i | −0.202564 | − | 0.169972i | 0.535862 | − | 0.844305i | \(-0.319987\pi\) |
−0.738427 | + | 0.674334i | \(0.764431\pi\) | |||||||
\(710\) | 389837. | − | 675217.i | 0.0290226 | − | 0.0502687i | ||||
\(711\) | −5.92123e6 | − | 2.32883e6i | −0.439276 | − | 0.172768i | ||||
\(712\) | 338620. | + | 586507.i | 0.0250330 | + | 0.0433584i | ||||
\(713\) | −22441.3 | + | 127271.i | −0.00165320 | + | 0.00937575i | ||||
\(714\) | 16467.0 | − | 86859.0i | 0.00120884 | − | 0.00637631i | ||||
\(715\) | −5.88445e6 | − | 2.14176e6i | −0.430468 | − | 0.156677i | ||||
\(716\) | −1.39032e7 | − | 5.06035e6i | −1.01352 | − | 0.368891i | ||||
\(717\) | −1.67351e7 | + | 5.84911e6i | −1.21571 | + | 0.424905i | ||||
\(718\) | −39894.2 | + | 226251.i | −0.00288801 | + | 0.0163787i | ||||
\(719\) | 7.01698e6 | + | 1.21538e7i | 0.506207 | + | 0.876776i | 0.999974 | + | 0.00718202i | \(0.00228613\pi\) |
−0.493767 | + | 0.869594i | \(0.664381\pi\) | |||||||
\(720\) | 7.92847e6 | + | 7.00707e6i | 0.569978 | + | 0.503738i | ||||
\(721\) | 608466. | − | 1.05389e6i | 0.0435911 | − | 0.0755021i | ||||
\(722\) | 330208. | + | 277077.i | 0.0235746 | + | 0.0197815i | ||||
\(723\) | 7.30021e6 | + | 93640.2i | 0.519385 | + | 0.00666218i | ||||
\(724\) | 612908. | + | 3.47597e6i | 0.0434559 | + | 0.246451i | ||||
\(725\) | −4.06797e6 | + | 3.41344e6i | −0.287431 | + | 0.241183i | ||||
\(726\) | 445420. | + | 168620.i | 0.0313637 | + | 0.0118732i | ||||
\(727\) | −5.70543e6 | + | 2.07661e6i | −0.400362 | + | 0.145720i | −0.534350 | − | 0.845263i | \(-0.679444\pi\) |
0.133989 | + | 0.990983i | \(0.457221\pi\) | |||||||
\(728\) | −127632. | −0.00892547 | ||||||||
\(729\) | −8.10860e6 | + | 1.18382e7i | −0.565102 | + | 0.825021i | ||||
\(730\) | −477527. | −0.0331658 | ||||||||
\(731\) | 8.87909e6 | − | 3.23173e6i | 0.614576 | − | 0.223687i | ||||
\(732\) | 1.92435e7 | + | 7.28490e6i | 1.32741 | + | 0.502512i | ||||
\(733\) | −8.99390e6 | + | 7.54678e6i | −0.618284 | + | 0.518802i | −0.897264 | − | 0.441495i | \(-0.854448\pi\) |
0.278980 | + | 0.960297i | \(0.410004\pi\) | |||||||
\(734\) | −95727.2 | − | 542896.i | −0.00655836 | − | 0.0371943i | ||||
\(735\) | 1.11279e7 | + | 142738.i | 0.759791 | + | 0.00974588i | ||||
\(736\) | 11822.2 | + | 9920.00i | 0.000804459 | + | 0.000675021i | ||||
\(737\) | −1.72659e6 | + | 2.99054e6i | −0.117090 | + | 0.202806i | ||||
\(738\) | 158554. | + | 140127.i | 0.0107161 | + | 0.00947070i | ||||
\(739\) | 1.09082e7 | + | 1.88936e7i | 0.734756 | + | 1.27263i | 0.954830 | + | 0.297151i | \(0.0960365\pi\) |
−0.220075 | + | 0.975483i | \(0.570630\pi\) | |||||||
\(740\) | 2.45704e6 | − | 1.39346e7i | 0.164943 | − | 0.935436i | ||||
\(741\) | 9.68990e6 | − | 3.38673e6i | 0.648297 | − | 0.226587i | ||||
\(742\) | 50426.8 | + | 18353.9i | 0.00336242 | + | 0.00122382i | ||||
\(743\) | 1.65674e7 | + | 6.03002e6i | 1.10098 | + | 0.400725i | 0.827679 | − | 0.561202i | \(-0.189661\pi\) |
0.273305 | + | 0.961927i | \(0.411883\pi\) | |||||||
\(744\) | −273022. | + | 1.44012e6i | −0.0180828 | + | 0.0953818i | ||||
\(745\) | −2.15421e6 | + | 1.22171e7i | −0.142199 | + | 0.806453i | ||||
\(746\) | 154726. | + | 267993.i | 0.0101792 | + | 0.0176309i | ||||
\(747\) | −2.37530e7 | − | 9.34210e6i | −1.55746 | − | 0.612552i | ||||
\(748\) | −6.64676e6 | + | 1.15125e7i | −0.434366 | + | 0.752345i | ||||
\(749\) | −1.30661e6 | − | 1.09638e6i | −0.0851023 | − | 0.0714093i | ||||
\(750\) | 344873. | + | 615434.i | 0.0223875 | + | 0.0399511i | ||||
\(751\) | −3.20400e6 | − | 1.81708e7i | −0.207297 | − | 1.17564i | −0.893784 | − | 0.448498i | \(-0.851959\pi\) |
0.686487 | − | 0.727142i | \(-0.259152\pi\) | |||||||
\(752\) | −1.86530e6 | + | 1.56518e6i | −0.120283 | + | 0.100930i | ||||
\(753\) | −7.78464e6 | + | 6.36374e6i | −0.500324 | + | 0.409002i | ||||
\(754\) | −737832. | + | 268549.i | −0.0472639 | + | 0.0172026i | ||||
\(755\) | 6.34936e6 | 0.405380 | ||||||||
\(756\) | −587175. | − | 1.11390e6i | −0.0373648 | − | 0.0708828i | ||||
\(757\) | 753643. | 0.0477998 | 0.0238999 | − | 0.999714i | \(-0.492392\pi\) | ||||
0.0238999 | + | 0.999714i | \(0.492392\pi\) | |||||||
\(758\) | 309335. | − | 112589.i | 0.0195549 | − | 0.00711740i | ||||
\(759\) | −9651.49 | − | 59164.0i | −0.000608121 | − | 0.00372781i | ||||
\(760\) | −411949. | + | 345666.i | −0.0258708 | + | 0.0217082i | ||||
\(761\) | 701464. | + | 3.97820e6i | 0.0439080 | + | 0.249015i | 0.998859 | − | 0.0477475i | \(-0.0152043\pi\) |
−0.954951 | + | 0.296762i | \(0.904093\pi\) | |||||||
\(762\) | 123359. | − | 207472.i | 0.00769632 | − | 0.0129441i | ||||
\(763\) | 1.19141e6 | + | 999711.i | 0.0740883 | + | 0.0621675i | ||||
\(764\) | −7.22132e6 | + | 1.25077e7i | −0.447593 | + | 0.775254i | ||||
\(765\) | 2.36440e7 | + | 606665.i | 1.46072 | + | 0.0374796i | ||||
\(766\) | −173243. | − | 300066.i | −0.0106680 | − | 0.0184775i | ||||
\(767\) | −3.62796e6 | + | 2.05752e7i | −0.222676 | + | 1.26286i | ||||
\(768\) | −1.21645e7 | − | 1.04761e7i | −0.744205 | − | 0.640907i | ||||
\(769\) | 1.29898e7 | + | 4.72791e6i | 0.792114 | + | 0.288306i | 0.706215 | − | 0.707998i | \(-0.250401\pi\) |
0.0858996 | + | 0.996304i | \(0.472624\pi\) | |||||||
\(770\) | −18293.9 | − | 6658.44i | −0.00111194 | − | 0.000404712i | ||||
\(771\) | 1.17622e7 | + | 1.01296e7i | 0.712612 | + | 0.613698i | ||||
\(772\) | 3.72362e6 | − | 2.11177e7i | 0.224865 | − | 1.27527i | ||||
\(773\) | −7.90942e6 | − | 1.36995e7i | −0.476098 | − | 0.824625i | 0.523527 | − | 0.852009i | \(-0.324616\pi\) |
−0.999625 | + | 0.0273836i | \(0.991282\pi\) | |||||||
\(774\) | −126033. | + | 205910.i | −0.00756189 | + | 0.0123545i | ||||
\(775\) | 3.98454e6 | − | 6.90142e6i | 0.238300 | − | 0.412747i | ||||
\(776\) | 1.07030e6 | + | 898092.i | 0.0638048 | + | 0.0535386i | ||||
\(777\) | −859007. | + | 1.44473e6i | −0.0510439 | + | 0.0858486i | ||||
\(778\) | −113982. | − | 646424.i | −0.00675130 | − | 0.0382885i | ||||
\(779\) | 2.29006e6 | − | 1.92159e6i | 0.135209 | − | 0.113453i | ||||
\(780\) | −2.74634e6 | − | 1.68352e7i | −0.161628 | − | 0.990789i | ||||
\(781\) | 1.30868e7 | − | 4.76321e6i | 0.767726 | − | 0.279429i | ||||
\(782\) | 11464.5 | 0.000670407 | ||||||||
\(783\) | −1.14866e7 | − | 1.04171e7i | −0.669557 | − | 0.607217i | ||||
\(784\) | −1.70077e7 | −0.988222 | ||||||||
\(785\) | −1.53055e7 | + | 5.57074e6i | −0.886488 | + | 0.322655i | ||||
\(786\) | −889485. | + | 727131.i | −0.0513549 | + | 0.0419813i | ||||
\(787\) | 1.00938e7 | − | 8.46970e6i | 0.580922 | − | 0.487451i | −0.304328 | − | 0.952567i | \(-0.598432\pi\) |
0.885250 | + | 0.465116i | \(0.153987\pi\) | |||||||
\(788\) | −3.36440e6 | − | 1.90804e7i | −0.193015 | − | 1.09464i | ||||
\(789\) | 6.47888e6 | + | 1.15617e7i | 0.370516 | + | 0.661195i | ||||
\(790\) | −205272. | − | 172244.i | −0.0117021 | − | 0.00981921i | ||||
\(791\) | 777109. | − | 1.34599e6i | 0.0441612 | − | 0.0764894i | ||||
\(792\) | −100851. | − | 672384.i | −0.00571303 | − | 0.0380894i | ||||
\(793\) | −1.65556e7 | − | 2.86751e7i | −0.934893 | − | 1.61928i | ||||
\(794\) | 155840. | − | 883814.i | 0.00877260 | − | 0.0497519i | ||||
\(795\) | −2.67416e6 | + | 1.41055e7i | −0.150062 | + | 0.791536i | ||||
\(796\) | −125363. | − | 45628.3i | −0.00701271 | − | 0.00255242i | ||||
\(797\) | −3.28811e6 | − | 1.19677e6i | −0.183358 | − | 0.0667369i | 0.248709 | − | 0.968578i | \(-0.419994\pi\) |
−0.432068 | + | 0.901841i | \(0.642216\pi\) | |||||||
\(798\) | 30124.6 | − | 10528.9i | 0.00167461 | − | 0.000585295i | ||||
\(799\) | −945145. | + | 5.36018e6i | −0.0523759 | + | 0.297038i | ||||
\(800\) | −475821. | − | 824146.i | −0.0262856 | − | 0.0455281i | ||||
\(801\) | 1.01944e7 | − | 3.41697e6i | 0.561409 | − | 0.188174i | ||||
\(802\) | 2958.27 | − | 5123.88i | 0.000162406 | − | 0.000281296i | ||||
\(803\) | −6.53411e6 | − | 5.48277e6i | −0.357600 | − | 0.300062i | ||||
\(804\) | −9.40556e6 | − | 120646.i | −0.513150 | − | 0.00658221i | ||||
\(805\) | −1625.26 | − | 9217.33i | −8.83964e−5 | − | 0.000501321i | ||||
\(806\) | 902629. | − | 757395.i | 0.0489409 | − | 0.0410663i | ||||
\(807\) | 2.53368e7 | + | 9.59162e6i | 1.36952 | + | 0.518452i | ||||
\(808\) | 1.33459e6 | − | 485750.i | 0.0719148 | − | 0.0261749i | ||||
\(809\) | 898582. | 0.0482710 | 0.0241355 | − | 0.999709i | \(-0.492317\pi\) | ||||
0.0241355 | + | 0.999709i | \(0.492317\pi\) | |||||||
\(810\) | −482231. | + | 364185.i | −0.0258251 | + | 0.0195033i | ||||
\(811\) | 2.29535e7 | 1.22545 | 0.612727 | − | 0.790295i | \(-0.290073\pi\) | ||||
0.612727 | + | 0.790295i | \(0.290073\pi\) | |||||||
\(812\) | 1.27872e6 | − | 465417.i | 0.0680591 | − | 0.0247715i | ||||
\(813\) | −2.00939e7 | − | 7.60682e6i | −1.06620 | − | 0.403624i | ||||
\(814\) | −347307. | + | 291425.i | −0.0183718 | + | 0.0154158i | ||||
\(815\) | −4.27512e6 | − | 2.42454e7i | −0.225452 | − | 1.27860i | ||||
\(816\) | −3.61430e7 | − | 463608.i | −1.90020 | − | 0.0243739i | ||||
\(817\) | 2.61277e6 | + | 2.19238e6i | 0.136945 | + | 0.114911i | ||||
\(818\) | 72934.7 | − | 126327.i | 0.00381111 | − | 0.00660103i | ||||
\(819\) | −402927. | + | 1.98581e6i | −0.0209902 | + | 0.103449i | ||||
\(820\) | −2.48392e6 | − | 4.30228e6i | −0.129004 | − | 0.223442i | ||||
\(821\) | 329416. | − | 1.86821e6i | 0.0170564 | − | 0.0967314i | −0.975091 | − | 0.221804i | \(-0.928805\pi\) |
0.992148 | + | 0.125073i | \(0.0399165\pi\) | |||||||
\(822\) | 916872. | − | 320457.i | 0.0473292 | − | 0.0165421i | ||||
\(823\) | −4.92431e6 | − | 1.79230e6i | −0.253423 | − | 0.0922385i | 0.212185 | − | 0.977230i | \(-0.431942\pi\) |
−0.465608 | + | 0.884991i | \(0.654164\pi\) | |||||||
\(824\) | 1.68195e6 | + | 612178.i | 0.0862967 | + | 0.0314094i | ||||
\(825\) | −688528. | + | 3.63181e6i | −0.0352198 | + | 0.185775i | ||||
\(826\) | −11278.8 | + | 63965.4i | −0.000575193 | + | 0.00326208i | ||||
\(827\) | −1.43054e7 | − | 2.47777e7i | −0.727339 | − | 1.25979i | −0.958004 | − | 0.286755i | \(-0.907424\pi\) |
0.230665 | − | 0.973033i | \(-0.425910\pi\) | |||||||
\(828\) | 127739. | − | 101718.i | 0.00647512 | − | 0.00515612i | ||||
\(829\) | 5.78979e6 | − | 1.00282e7i | 0.292601 | − | 0.506801i | −0.681823 | − | 0.731518i | \(-0.738812\pi\) |
0.974424 | + | 0.224717i | \(0.0721458\pi\) | |||||||
\(830\) | −823451. | − | 690957.i | −0.0414899 | − | 0.0348142i | ||||
\(831\) | −4.26556e6 | − | 7.61199e6i | −0.214276 | − | 0.382381i | ||||
\(832\) | 4.51045e6 | + | 2.55800e7i | 0.225897 | + | 1.28113i | ||||
\(833\) | −2.91227e7 | + | 2.44368e7i | −1.45418 | + | 1.22020i | ||||
\(834\) | −555869. | + | 454408.i | −0.0276731 | + | 0.0226220i | ||||
\(835\) | 2.67819e7 | − | 9.74783e6i | 1.32931 | − | 0.483829i | ||||
\(836\) | −4.79850e6 | −0.237460 | ||||||||
\(837\) | 2.15447e7 | + | 8.79427e6i | 1.06298 | + | 0.433897i | ||||
\(838\) | −1.09362e6 | −0.0537969 | ||||||||
\(839\) | 2.57458e7 | − | 9.37071e6i | 1.26270 | − | 0.459587i | 0.378028 | − | 0.925794i | \(-0.376602\pi\) |
0.884675 | + | 0.466207i | \(0.154380\pi\) | |||||||
\(840\) | −17091.3 | − | 104770.i | −0.000835750 | − | 0.00512318i | ||||
\(841\) | −2.87507e6 | + | 2.41247e6i | −0.140171 | + | 0.117618i | ||||
\(842\) | −1794.14 | − | 10175.1i | −8.72121e−5 | − | 0.000494605i | ||||
\(843\) | −1.31075e7 | + | 2.20450e7i | −0.635260 | + | 1.06842i | ||||
\(844\) | 6.18948e6 | + | 5.19359e6i | 0.299087 | + | 0.250964i | ||||
\(845\) | −5.78773e6 | + | 1.00246e7i | −0.278847 | + | 0.482978i | ||||
\(846\) | −66420.3 | − | 122177.i | −0.00319062 | − | 0.00586901i | ||||
\(847\) | 664124. | + | 1.15030e6i | 0.0318083 | + | 0.0550936i | ||||
\(848\) | 3.80998e6 | − | 2.16075e7i | 0.181942 | − | 1.03185i | ||||
\(849\) | 1.70688e7 | + | 1.46996e7i | 0.812708 | + | 0.699901i | ||||
\(850\) | −664309. | − | 241789.i | −0.0315372 | − | 0.0114786i | ||||
\(851\) | −204823. | − | 74549.3i | −0.00969514 | − | 0.00352874i | ||||
\(852\) | 2.87453e7 | + | 2.47554e7i | 1.35665 | + | 1.16834i | ||||
\(853\) | 3.82252e6 | − | 2.16786e7i | 0.179877 | − | 1.02014i | −0.752485 | − | 0.658610i | \(-0.771145\pi\) |
0.932362 | − | 0.361526i | \(-0.117744\pi\) | |||||||
\(854\) | −51469.0 | − | 89147.0i | −0.00241491 | − | 0.00418275i | ||||
\(855\) | 4.07767e6 | + | 7.50071e6i | 0.190764 | + | 0.350903i | ||||
\(856\) | 1.25436e6 | − | 2.17261e6i | 0.0585110 | − | 0.101344i | ||||
\(857\) | −2.48350e7 | − | 2.08391e7i | −1.15508 | − | 0.969228i | −0.155255 | − | 0.987874i | \(-0.549620\pi\) |
−0.999826 | + | 0.0186463i | \(0.994064\pi\) | |||||||
\(858\) | −279328. | + | 469791.i | −0.0129538 | + | 0.0217864i | ||||
\(859\) | 4.24240e6 | + | 2.40599e7i | 0.196168 | + | 1.11253i | 0.910745 | + | 0.412969i | \(0.135508\pi\) |
−0.714577 | + | 0.699557i | \(0.753381\pi\) | |||||||
\(860\) | 4.34186e6 | − | 3.64326e6i | 0.200184 | − | 0.167975i | ||||
\(861\) | 95012.0 | + | 582428.i | 0.00436788 | + | 0.0267753i | ||||
\(862\) | −117608. | + | 42805.9i | −0.00539101 | + | 0.00196217i | ||||
\(863\) | −2.51506e6 | −0.114954 | −0.0574768 | − | 0.998347i | \(-0.518306\pi\) | ||||
−0.0574768 | + | 0.998347i | \(0.518306\pi\) | |||||||
\(864\) | 2.19589e6 | − | 1.70302e6i | 0.100075 | − | 0.0776130i | ||||
\(865\) | 6.65413e6 | 0.302379 | ||||||||
\(866\) | −1.57439e6 | + | 573031.i | −0.0713375 | + | 0.0259647i | ||||
\(867\) | −4.54185e7 | + | 3.71284e7i | −2.05203 | + | 1.67748i | ||||
\(868\) | −1.56433e6 | + | 1.31263e6i | −0.0704740 | + | 0.0591347i | ||||
\(869\) | −831155. | − | 4.71371e6i | −0.0373364 | − | 0.211745i | ||||
\(870\) | −319249. | − | 569709.i | −0.0142999 | − | 0.0255185i | ||||
\(871\) | 1.15953e7 | + | 9.72964e6i | 0.517890 | + | 0.434562i | ||||
\(872\) | −1.14377e6 | + | 1.98106e6i | −0.0509384 | + | 0.0882280i | ||||
\(873\) | 1.73522e7 | − | 1.38175e7i | 0.770581 | − | 0.613612i | ||||
\(874\) | 2069.14 | + | 3583.86i | 9.16245e−5 | + | 0.000158698i | ||||
\(875\) | −341649. | + | 1.93759e6i | −0.0150855 | + | 0.0855542i | ||||
\(876\) | 4.32778e6 | − | 2.28279e7i | 0.190548 | − | 1.00509i | ||||
\(877\) | −5.11770e6 | − | 1.86269e6i | −0.224686 | − | 0.0817790i | 0.227224 | − | 0.973842i | \(-0.427035\pi\) |
−0.451910 | + | 0.892064i | \(0.649257\pi\) | |||||||
\(878\) | −536572. | − | 195296.i | −0.0234905 | − | 0.00854983i | ||||
\(879\) | 1.13229e7 | − | 3.95748e6i | 0.494294 | − | 0.172762i | ||||
\(880\) | −1.38219e6 | + | 7.83880e6i | −0.0601675 | + | 0.341227i | ||||
\(881\) | 9.03328e6 | + | 1.56461e7i | 0.392108 | + | 0.679151i | 0.992727 | − | 0.120384i | \(-0.0384126\pi\) |
−0.600619 | + | 0.799535i | \(0.705079\pi\) | |||||||
\(882\) | 193150. | − | 951930.i | 0.00836032 | − | 0.0412035i | ||||
\(883\) | −2.06263e6 | + | 3.57258e6i | −0.0890266 | + | 0.154199i | −0.907100 | − | 0.420915i | \(-0.861709\pi\) |
0.818073 | + | 0.575114i | \(0.195042\pi\) | |||||||
\(884\) | 4.46379e7 | + | 3.74556e7i | 1.92120 | + | 1.61208i | ||||
\(885\) | −1.73755e7 | − | 222877.i | −0.745727 | − | 0.00956549i | ||||
\(886\) | 136289. | + | 772931.i | 0.00583278 | + | 0.0330793i | ||||
\(887\) | −1.31315e7 | + | 1.10186e7i | −0.560409 | + | 0.470239i | −0.878448 | − | 0.477839i | \(-0.841420\pi\) |
0.318039 | + | 0.948078i | \(0.396976\pi\) | |||||||
\(888\) | −2.31205e6 | − | 875260.i | −0.0983931 | − | 0.0372481i | ||||
\(889\) | 632567. | − | 230236.i | 0.0268443 | − | 0.00977053i | ||||
\(890\) | 452808. | 0.0191619 | ||||||||
\(891\) | −1.07799e7 | − | 553553.i | −0.454905 | − | 0.0233596i | ||||
\(892\) | 1.20825e7 | 0.508444 | ||||||||
\(893\) | −1.84620e6 | + | 671962.i | −0.0774730 | + | 0.0281979i | ||||
\(894\) | 1.01264e6 | + | 383349.i | 0.0423750 | + | 0.0160417i | ||||
\(895\) | −1.51696e7 | + | 1.27288e7i | −0.633018 | + | 0.531165i | ||||
\(896\) | 56444.1 | + | 320110.i | 0.00234881 | + | 0.0133208i | ||||
\(897\) | −262745. | − | 3370.25i | −0.0109032 | − | 0.000139856i | ||||
\(898\) | 417360. | + | 350207.i | 0.0172711 | + | 0.0144922i | ||||
\(899\) | −1.25741e7 | + | 2.17789e7i | −0.518892 | + | 0.898747i | ||||
\(900\) | −9.54709e6 | + | 3.20001e6i | −0.392884 | + | 0.131688i | ||||
\(901\) | −2.45220e7 | − | 4.24733e7i | −1.00634 | − | 1.74303i | ||||
\(902\) | −27641.1 | + | 156760.i | −0.00113120 | + | 0.00641535i | ||||
\(903\) | −635583. | + | 222144.i | −0.0259390 | + | 0.00906597i | ||||
\(904\) | 2.14812e6 | + | 781850.i | 0.0874252 | + | 0.0318202i | ||||
\(905\) | 4.43917e6 | + | 1.61572e6i | 0.180169 | + | 0.0655761i | ||||
\(906\) | 103224. | − | 544477.i | 0.00417790 | − | 0.0220374i | ||||
\(907\) | −3.71748e6 | + | 2.10829e7i | −0.150048 | + | 0.850965i | 0.813126 | + | 0.582087i | \(0.197764\pi\) |
−0.963174 | + | 0.268878i | \(0.913347\pi\) | |||||||
\(908\) | 9.53317e6 | + | 1.65119e7i | 0.383727 | + | 0.664635i | ||||
\(909\) | −3.34450e6 | − | 2.22981e7i | −0.134252 | − | 0.895073i | ||||
\(910\) | −42667.8 | + | 73902.9i | −0.00170804 | + | 0.00295841i | ||||
\(911\) | 1.44861e7 | + | 1.21553e7i | 0.578303 | + | 0.485254i | 0.884389 | − | 0.466750i | \(-0.154575\pi\) |
−0.306087 | + | 0.952004i | \(0.599020\pi\) | |||||||
\(912\) | −6.37825e6 | − | 1.13821e7i | −0.253930 | − | 0.453145i | ||||
\(913\) | −3.33418e6 | − | 1.89091e7i | −0.132377 | − | 0.750746i | ||||
\(914\) | 368177. | − | 308937.i | 0.0145778 | − | 0.0122322i | ||||
\(915\) | 2.13218e7 | − | 1.74300e7i | 0.841921 | − | 0.688248i | ||||
\(916\) | −1.09429e7 | + | 3.98289e6i | −0.430917 | + | 0.156841i | ||||
\(917\) | −3.20405e6 | −0.125827 | ||||||||
\(918\) | 436411. | − | 2.01768e6i | 0.0170918 | − | 0.0790216i | ||||
\(919\) | −2.46336e7 | −0.962140 | −0.481070 | − | 0.876682i | \(-0.659752\pi\) | ||||
−0.481070 | + | 0.876682i | \(0.659752\pi\) | |||||||
\(920\) | 12936.0 | − | 4708.31i | 0.000503883 | − | 0.000183399i | ||||
\(921\) | 2.04019e6 | + | 1.25065e7i | 0.0792542 | + | 0.485832i | ||||
\(922\) | 1.48033e6 | − | 1.24215e6i | 0.0573498 | − | 0.0481222i | ||||
\(923\) | −1.06005e7 | − | 6.01186e7i | −0.409566 | − | 2.32276i | ||||
\(924\) | 484099. | − | 814186.i | 0.0186532 | − | 0.0313721i | ||||
\(925\) | 1.02962e7 | + | 8.63950e6i | 0.395659 | + | 0.331997i | ||||
\(926\) | −687410. | + | 1.19063e6i | −0.0263444 | + | 0.0456299i | ||||
\(927\) | 1.48346e7 | − | 2.42366e7i | 0.566992 | − | 0.926342i | ||||
\(928\) | 1.50156e6 | + | 2.60077e6i | 0.0572363 | + | 0.0991362i | ||||
\(929\) | −603659. | + | 3.42352e6i | −0.0229484 | + | 0.130147i | −0.994130 | − | 0.108195i | \(-0.965493\pi\) |
0.971181 | + | 0.238342i | \(0.0766039\pi\) | |||||||
\(930\) | 742601. | + | 639525.i | 0.0281545 | + | 0.0242465i | ||||
\(931\) | −1.28952e7 | − | 4.69347e6i | −0.487589 | − | 0.177468i | ||||
\(932\) | 1.62238e7 | + | 5.90499e6i | 0.611806 | + | 0.222679i | ||||
\(933\) | 2.38881e7 | + | 2.05724e7i | 0.898418 | + | 0.773714i | ||||
\(934\) | −310526. | + | 1.76108e6i | −0.0116475 | + | 0.0660560i | ||||
\(935\) | 8.89612e6 | + | 1.54085e7i | 0.332791 | + | 0.576411i | ||||
\(936\) | −2.97930e6 | − | 76444.0i | −0.111154 | − | 0.00285203i | ||||
\(937\) | 7.11275e6 | − | 1.23196e7i | 0.264660 | − | 0.458405i | −0.702814 | − | 0.711373i | \(-0.748074\pi\) |
0.967474 | + | 0.252969i | \(0.0814069\pi\) | |||||||
\(938\) | 36048.3 | + | 30248.1i | 0.00133776 | + | 0.00112251i | ||||
\(939\) | 1.21026e7 | − | 2.03548e7i | 0.447934 | − | 0.753362i | ||||
\(940\) | 566941. | + | 3.21528e6i | 0.0209275 | + | 0.118686i | ||||
\(941\) | −3.42522e7 | + | 2.87410e7i | −1.26100 | + | 1.05810i | −0.265423 | + | 0.964132i | \(0.585512\pi\) |
−0.995575 | + | 0.0939709i | \(0.970044\pi\) | |||||||
\(942\) | 228882. | + | 1.40306e6i | 0.00840398 | + | 0.0515168i | ||||
\(943\) | −71912.4 | + | 26174.0i | −0.00263345 | + | 0.000958496i | ||||
\(944\) | 2.65565e7 | 0.969931 | ||||||||
\(945\) | −1.68406e6 | − | 64833.1i | −0.0613449 | − | 0.00236166i | ||||
\(946\) | −181610. | −0.00659799 | ||||||||
\(947\) | 4.43307e7 | − | 1.61350e7i | 1.60631 | − | 0.584649i | 0.625604 | − | 0.780141i | \(-0.284853\pi\) |
0.980705 | + | 0.195492i | \(0.0626303\pi\) | |||||||
\(948\) | 1.00944e7 | − | 8.25190e6i | 0.364804 | − | 0.298217i | ||||
\(949\) | −2.86415e7 | + | 2.40331e7i | −1.03236 | + | 0.866252i | ||||
\(950\) | −44311.9 | − | 251305.i | −0.00159298 | − | 0.00903425i | ||||
\(951\) | −8.49146e6 | − | 1.51532e7i | −0.304461 | − | 0.543317i | ||||
\(952\) | 277795. | + | 233098.i | 0.00993418 | + | 0.00833576i | ||||
\(953\) | −9.41830e6 | + | 1.63130e7i | −0.335923 | + | 0.581836i | −0.983662 | − | 0.180027i | \(-0.942382\pi\) |
0.647739 | + | 0.761863i | \(0.275715\pi\) | |||||||
\(954\) | 1.16612e6 | + | 458636.i | 0.0414831 | + | 0.0163154i | ||||
\(955\) | 9.66512e6 | + | 1.67405e7i | 0.342925 | + | 0.593963i | ||||
\(956\) | 6.30804e6 | − | 3.57746e7i | 0.223228 | − | 1.26599i | ||||
\(957\) | 2.17280e6 | − | 1.14610e7i | 0.0766902 | − | 0.404521i | ||||
\(958\) | 474488. | + | 172700.i | 0.0167037 | + | 0.00607963i | ||||
\(959\) | 2.54536e6 | + | 926436.i | 0.0893723 | + | 0.0325289i | ||||
\(960\) | −2.03941e7 | + | 7.12796e6i | −0.714210 | + | 0.249625i | ||||
\(961\) | 1.58189e6 | − | 8.97135e6i | 0.0552546 | − | 0.313364i | ||||
\(962\) | 993662. | + | 1.72107e6i | 0.0346179 | + | 0.0599600i | ||||
\(963\) | −2.98434e7 | − | 2.63752e7i | −1.03701 | − | 0.916495i | ||||
\(964\) | −7.48013e6 | + | 1.29560e7i | −0.259249 | + | 0.449032i | ||||
\(965\) | −2.19857e7 | − | 1.84482e7i | −0.760013 | − | 0.637727i | ||||
\(966\) | −816.838 | − | 10.4776i | −2.81639e−5 | − | 3.61260e-7i | ||||
\(967\) | −7.04403e6 | − | 3.99487e7i | −0.242245 | − | 1.37384i | −0.826805 | − | 0.562489i | \(-0.809844\pi\) |
0.584559 | − | 0.811351i | \(-0.301267\pi\) | |||||||
\(968\) | −1.49656e6 | + | 1.25576e6i | −0.0513340 | + | 0.0430743i | ||||
\(969\) | −2.72757e7 | − | 1.03256e7i | −0.933181 | − | 0.353269i | ||||
\(970\) | 877830. | − | 319504.i | 0.0299558 | − | 0.0109030i | ||||
\(971\) | 1.85798e7 | 0.632401 | 0.316201 | − | 0.948692i | \(-0.397593\pi\) | ||||
0.316201 | + | 0.948692i | \(0.397593\pi\) | |||||||
\(972\) | −1.30392e7 | − | 2.63533e7i | −0.442676 | − | 0.894684i | ||||
\(973\) | −2.00232e6 | −0.0678033 | ||||||||
\(974\) | 687296. | − | 250155.i | 0.0232138 | − | 0.00844914i | ||||
\(975\) | 1.51537e7 | + | 5.73664e6i | 0.510512 | + | 0.193262i | ||||
\(976\) | −3.22409e7 | + | 2.70533e7i | −1.08338 | + | 0.909068i | ||||
\(977\) | −3.14992e6 | − | 1.78641e7i | −0.105576 | − | 0.598749i | −0.990989 | − | 0.133944i | \(-0.957236\pi\) |
0.885413 | − | 0.464805i | \(-0.153875\pi\) | |||||||
\(978\) | −2.14862e6 | − | 27560.5i | −0.0718312 | − | 0.000921383i | ||||
\(979\) | 6.19587e6 | + | 5.19896e6i | 0.206607 | + | 0.173364i | ||||
\(980\) | −1.14021e7 | + | 1.97491e7i | −0.379246 | + | 0.656874i | ||||
\(981\) | 2.72122e7 | + | 2.40498e7i | 0.902800 | + | 0.797882i | ||||
\(982\) | 234993. | + | 407020.i | 0.00777635 | + | 0.0134690i | ||||
\(983\) | 312610. | − | 1.77290e6i | 0.0103185 | − | 0.0585194i | −0.979214 | − | 0.202831i | \(-0.934986\pi\) |
0.989532 | + | 0.144312i | \(0.0460968\pi\) | |||||||
\(984\) | −819366. | + | 286378.i | −0.0269768 | + | 0.00942870i | ||||
\(985\) | −2.43676e7 | − | 8.86909e6i | −0.800245 | − | 0.291265i | ||||
\(986\) | 2.09637e6 | + | 763017.i | 0.0686714 | + | 0.0249944i | ||||
\(987\) | 72239.7 | − | 381046.i | 0.00236039 | − | 0.0124504i | ||||
\(988\) | −3.65246e6 | + | 2.07141e7i | −0.119040 | + | 0.675109i | ||||
\(989\) | −43655.8 | − | 75614.1i | −0.00141923 | − | 0.00245817i | ||||
\(990\) | −423046. | − | 166385.i | −0.0137183 | − | 0.00539542i | ||||
\(991\) | 5.80689e6 | − | 1.00578e7i | 0.187828 | − | 0.325327i | −0.756698 | − | 0.653764i | \(-0.773189\pi\) |
0.944526 | + | 0.328438i | \(0.106522\pi\) | |||||||
\(992\) | −3.45230e6 | − | 2.89683e6i | −0.111386 | − | 0.0934638i | ||||
\(993\) | −9.66118e6 | − | 1.72406e7i | −0.310926 | − | 0.554855i | ||||
\(994\) | −32955.6 | − | 186900.i | −0.00105794 | − | 0.00599990i | ||||
\(995\) | −136781. | + | 114773.i | −0.00437995 | + | 0.00367522i | ||||
\(996\) | 4.04937e7 | − | 3.31025e7i | 1.29342 | − | 1.05733i | ||||
\(997\) | −5.29925e6 | + | 1.92877e6i | −0.168841 | + | 0.0614529i | −0.425057 | − | 0.905166i | \(-0.639746\pi\) |
0.256217 | + | 0.966619i | \(0.417524\pi\) | |||||||
\(998\) | −2.18786e6 | −0.0695333 | ||||||||
\(999\) | −2.09170e7 | + | 3.32097e7i | −0.663112 | + | 1.05281i |
(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 | 27.6.e.a.7.8 | yes | 84 | |
3.2 | odd | 2 | 81.6.e.a.19.7 | 84 | |||
27.2 | odd | 18 | 729.6.a.e.1.23 | 42 | |||
27.4 | even | 9 | inner | 27.6.e.a.4.8 | ✓ | 84 | |
27.23 | odd | 18 | 81.6.e.a.64.7 | 84 | |||
27.25 | even | 9 | 729.6.a.c.1.20 | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.6.e.a.4.8 | ✓ | 84 | 27.4 | even | 9 | inner | |
27.6.e.a.7.8 | yes | 84 | 1.1 | even | 1 | trivial | |
81.6.e.a.19.7 | 84 | 3.2 | odd | 2 | |||
81.6.e.a.64.7 | 84 | 27.23 | odd | 18 | |||
729.6.a.c.1.20 | 42 | 27.25 | even | 9 | |||
729.6.a.e.1.23 | 42 | 27.2 | odd | 18 |