Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 4 x^{19} - 3 x^{18} + 66 x^{17} - 163 x^{16} - 52 x^{15} + 1567 x^{14} - 6182 x^{13} + 17043 x^{12} - 35832 x^{11} + 60906 x^{10} - 87666 x^{9} + 106197 x^{8} - 102542 x^{7} + \cdots + 529 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 121.2 | ||
Root | \(0.706969 - 1.54805i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 690.121 |
Dual form | 690.2.m.c.211.2 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{9}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.415415 | − | 0.909632i | 0.293743 | − | 0.643207i | ||||
\(3\) | 0.959493 | + | 0.281733i | 0.553964 | + | 0.162658i | ||||
\(4\) | −0.654861 | − | 0.755750i | −0.327430 | − | 0.377875i | ||||
\(5\) | 0.841254 | − | 0.540641i | 0.376220 | − | 0.241782i | ||||
\(6\) | 0.654861 | − | 0.755750i | 0.267346 | − | 0.308533i | ||||
\(7\) | 0.0903198 | − | 0.628188i | 0.0341377 | − | 0.237433i | −0.965608 | − | 0.260004i | \(-0.916276\pi\) |
0.999745 | + | 0.0225712i | \(0.00718525\pi\) | |||||||
\(8\) | −0.959493 | + | 0.281733i | −0.339232 | + | 0.0996075i | ||||
\(9\) | 0.841254 | + | 0.540641i | 0.280418 | + | 0.180214i | ||||
\(10\) | −0.142315 | − | 0.989821i | −0.0450039 | − | 0.313009i | ||||
\(11\) | −1.92870 | − | 4.22327i | −0.581526 | − | 1.27336i | −0.940429 | − | 0.339989i | \(-0.889577\pi\) |
0.358903 | − | 0.933375i | \(-0.383151\pi\) | |||||||
\(12\) | −0.415415 | − | 0.909632i | −0.119920 | − | 0.262588i | ||||
\(13\) | −0.580306 | − | 4.03612i | −0.160948 | − | 1.11942i | −0.896852 | − | 0.442331i | \(-0.854152\pi\) |
0.735904 | − | 0.677086i | \(-0.236757\pi\) | |||||||
\(14\) | −0.533899 | − | 0.343116i | −0.142691 | − | 0.0917017i | ||||
\(15\) | 0.959493 | − | 0.281733i | 0.247740 | − | 0.0727430i | ||||
\(16\) | −0.142315 | + | 0.989821i | −0.0355787 | + | 0.247455i | ||||
\(17\) | −0.821414 | + | 0.947963i | −0.199222 | + | 0.229915i | −0.846566 | − | 0.532283i | \(-0.821334\pi\) |
0.647344 | + | 0.762198i | \(0.275880\pi\) | |||||||
\(18\) | 0.841254 | − | 0.540641i | 0.198285 | − | 0.127430i | ||||
\(19\) | 0.992447 | + | 1.14534i | 0.227683 | + | 0.262760i | 0.858084 | − | 0.513510i | \(-0.171655\pi\) |
−0.630401 | + | 0.776270i | \(0.717109\pi\) | |||||||
\(20\) | −0.959493 | − | 0.281733i | −0.214549 | − | 0.0629973i | ||||
\(21\) | 0.263642 | − | 0.577296i | 0.0575314 | − | 0.125976i | ||||
\(22\) | −4.64283 | −0.989856 | ||||||||
\(23\) | 4.65690 | − | 1.14600i | 0.971030 | − | 0.238957i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 0.415415 | − | 0.909632i | 0.0830830 | − | 0.181926i | ||||
\(26\) | −3.91245 | − | 1.14880i | −0.767294 | − | 0.225298i | ||||
\(27\) | 0.654861 | + | 0.755750i | 0.126028 | + | 0.145444i | ||||
\(28\) | −0.533899 | + | 0.343116i | −0.100898 | + | 0.0648429i | ||||
\(29\) | 3.08455 | − | 3.55976i | 0.572786 | − | 0.661031i | −0.393252 | − | 0.919431i | \(-0.628650\pi\) |
0.966038 | + | 0.258400i | \(0.0831953\pi\) | |||||||
\(30\) | 0.142315 | − | 0.989821i | 0.0259830 | − | 0.180716i | ||||
\(31\) | 4.34190 | − | 1.27490i | 0.779828 | − | 0.228978i | 0.132493 | − | 0.991184i | \(-0.457702\pi\) |
0.647335 | + | 0.762206i | \(0.275884\pi\) | |||||||
\(32\) | 0.841254 | + | 0.540641i | 0.148714 | + | 0.0955727i | ||||
\(33\) | −0.660744 | − | 4.59558i | −0.115021 | − | 0.799987i | ||||
\(34\) | 0.521069 | + | 1.14098i | 0.0893626 | + | 0.195677i | ||||
\(35\) | −0.263642 | − | 0.577296i | −0.0445637 | − | 0.0975808i | ||||
\(36\) | −0.142315 | − | 0.989821i | −0.0237191 | − | 0.164970i | ||||
\(37\) | 8.68671 | + | 5.58261i | 1.42809 | + | 0.917776i | 0.999901 | + | 0.0140848i | \(0.00448348\pi\) |
0.428186 | + | 0.903691i | \(0.359153\pi\) | |||||||
\(38\) | 1.45412 | − | 0.426968i | 0.235889 | − | 0.0692634i | ||||
\(39\) | 0.580306 | − | 4.03612i | 0.0929233 | − | 0.646296i | ||||
\(40\) | −0.654861 | + | 0.755750i | −0.103543 | + | 0.119494i | ||||
\(41\) | −7.73059 | + | 4.96815i | −1.20732 | + | 0.775895i | −0.980207 | − | 0.197975i | \(-0.936564\pi\) |
−0.227108 | + | 0.973869i | \(0.572927\pi\) | |||||||
\(42\) | −0.415606 | − | 0.479635i | −0.0641294 | − | 0.0740092i | ||||
\(43\) | −7.97050 | − | 2.34035i | −1.21549 | − | 0.356900i | −0.389734 | − | 0.920927i | \(-0.627433\pi\) |
−0.825756 | + | 0.564027i | \(0.809251\pi\) | |||||||
\(44\) | −1.92870 | + | 4.22327i | −0.290763 | + | 0.636682i | ||||
\(45\) | 1.00000 | 0.149071 | ||||||||
\(46\) | 0.892108 | − | 4.71213i | 0.131534 | − | 0.694765i | ||||
\(47\) | −5.16744 | −0.753748 | −0.376874 | − | 0.926265i | \(-0.623001\pi\) | ||||
−0.376874 | + | 0.926265i | \(0.623001\pi\) | |||||||
\(48\) | −0.415415 | + | 0.909632i | −0.0599600 | + | 0.131294i | ||||
\(49\) | 6.32999 | + | 1.85865i | 0.904284 | + | 0.265522i | ||||
\(50\) | −0.654861 | − | 0.755750i | −0.0926113 | − | 0.106879i | ||||
\(51\) | −1.05521 | + | 0.678144i | −0.147759 | + | 0.0949592i | ||||
\(52\) | −2.67027 | + | 3.08166i | −0.370300 | + | 0.427349i | ||||
\(53\) | 0.247376 | − | 1.72054i | 0.0339797 | − | 0.236334i | −0.965753 | − | 0.259464i | \(-0.916454\pi\) |
0.999732 | + | 0.0231300i | \(0.00736315\pi\) | |||||||
\(54\) | 0.959493 | − | 0.281733i | 0.130570 | − | 0.0383389i | ||||
\(55\) | −3.90580 | − | 2.51011i | −0.526658 | − | 0.338463i | ||||
\(56\) | 0.0903198 | + | 0.628188i | 0.0120695 | + | 0.0839451i | ||||
\(57\) | 0.629565 | + | 1.37855i | 0.0833879 | + | 0.182594i | ||||
\(58\) | −1.95670 | − | 4.28458i | −0.256928 | − | 0.562593i | ||||
\(59\) | 0.112768 | + | 0.784317i | 0.0146811 | + | 0.102109i | 0.995844 | − | 0.0910707i | \(-0.0290289\pi\) |
−0.981163 | + | 0.193180i | \(0.938120\pi\) | |||||||
\(60\) | −0.841254 | − | 0.540641i | −0.108605 | − | 0.0697964i | ||||
\(61\) | −9.73628 | + | 2.85883i | −1.24660 | + | 0.366036i | −0.837492 | − | 0.546449i | \(-0.815979\pi\) |
−0.409110 | + | 0.912485i | \(0.634161\pi\) | |||||||
\(62\) | 0.644003 | − | 4.47914i | 0.0817885 | − | 0.568851i | ||||
\(63\) | 0.415606 | − | 0.479635i | 0.0523614 | − | 0.0604283i | ||||
\(64\) | 0.841254 | − | 0.540641i | 0.105157 | − | 0.0675801i | ||||
\(65\) | −2.67027 | − | 3.08166i | −0.331207 | − | 0.382233i | ||||
\(66\) | −4.45477 | − | 1.30804i | −0.548344 | − | 0.161008i | ||||
\(67\) | −0.0920044 | + | 0.201462i | −0.0112401 | + | 0.0246125i | −0.915169 | − | 0.403071i | \(-0.867943\pi\) |
0.903929 | + | 0.427683i | \(0.140670\pi\) | |||||||
\(68\) | 1.25433 | 0.152110 | ||||||||
\(69\) | 4.79112 | + | 0.212422i | 0.576784 | + | 0.0255726i | ||||
\(70\) | −0.634648 | −0.0758549 | ||||||||
\(71\) | 2.51178 | − | 5.50003i | 0.298093 | − | 0.652733i | −0.700021 | − | 0.714123i | \(-0.746826\pi\) |
0.998114 | + | 0.0613895i | \(0.0195532\pi\) | |||||||
\(72\) | −0.959493 | − | 0.281733i | −0.113077 | − | 0.0332025i | ||||
\(73\) | 10.6779 | + | 12.3229i | 1.24975 | + | 1.44229i | 0.850946 | + | 0.525253i | \(0.176029\pi\) |
0.398804 | + | 0.917036i | \(0.369425\pi\) | |||||||
\(74\) | 8.68671 | − | 5.58261i | 1.00981 | − | 0.648965i | ||||
\(75\) | 0.654861 | − | 0.755750i | 0.0756168 | − | 0.0872664i | ||||
\(76\) | 0.215679 | − | 1.50008i | 0.0247401 | − | 0.172071i | ||||
\(77\) | −2.82721 | + | 0.830143i | −0.322190 | + | 0.0946036i | ||||
\(78\) | −3.43031 | − | 2.20453i | −0.388406 | − | 0.249614i | ||||
\(79\) | 1.88753 | + | 13.1281i | 0.212364 | + | 1.47702i | 0.765232 | + | 0.643755i | \(0.222624\pi\) |
−0.552868 | + | 0.833269i | \(0.686466\pi\) | |||||||
\(80\) | 0.415415 | + | 0.909632i | 0.0464448 | + | 0.101700i | ||||
\(81\) | 0.415415 | + | 0.909632i | 0.0461572 | + | 0.101070i | ||||
\(82\) | 1.30778 | + | 9.09584i | 0.144421 | + | 1.00447i | ||||
\(83\) | 0.774423 | + | 0.497691i | 0.0850039 | + | 0.0546287i | 0.582452 | − | 0.812865i | \(-0.302093\pi\) |
−0.497448 | + | 0.867494i | \(0.665730\pi\) | |||||||
\(84\) | −0.608940 | + | 0.178801i | −0.0664408 | + | 0.0195088i | ||||
\(85\) | −0.178510 | + | 1.24157i | −0.0193622 | + | 0.134667i | ||||
\(86\) | −5.43992 | + | 6.27801i | −0.586602 | + | 0.676975i | ||||
\(87\) | 3.96250 | − | 2.54655i | 0.424825 | − | 0.273018i | ||||
\(88\) | 3.04041 | + | 3.50882i | 0.324109 | + | 0.374041i | ||||
\(89\) | 2.72265 | + | 0.799443i | 0.288601 | + | 0.0847408i | 0.422829 | − | 0.906210i | \(-0.361037\pi\) |
−0.134228 | + | 0.990950i | \(0.542855\pi\) | |||||||
\(90\) | 0.415415 | − | 0.909632i | 0.0437886 | − | 0.0958836i | ||||
\(91\) | −2.58785 | −0.271281 | ||||||||
\(92\) | −3.91571 | − | 2.76898i | −0.408241 | − | 0.288686i | ||||
\(93\) | 4.52520 | 0.469241 | ||||||||
\(94\) | −2.14663 | + | 4.70046i | −0.221408 | + | 0.484816i | ||||
\(95\) | 1.45412 | + | 0.426968i | 0.149190 | + | 0.0438060i | ||||
\(96\) | 0.654861 | + | 0.755750i | 0.0668364 | + | 0.0771334i | ||||
\(97\) | 5.73275 | − | 3.68422i | 0.582073 | − | 0.374075i | −0.216220 | − | 0.976345i | \(-0.569373\pi\) |
0.798293 | + | 0.602269i | \(0.205737\pi\) | |||||||
\(98\) | 4.32026 | − | 4.98585i | 0.436412 | − | 0.503647i | ||||
\(99\) | 0.660744 | − | 4.59558i | 0.0664073 | − | 0.461873i | ||||
\(100\) | −0.959493 | + | 0.281733i | −0.0959493 | + | 0.0281733i | ||||
\(101\) | −11.7359 | − | 7.54218i | −1.16776 | − | 0.750474i | −0.194664 | − | 0.980870i | \(-0.562362\pi\) |
−0.973097 | + | 0.230396i | \(0.925998\pi\) | |||||||
\(102\) | 0.178510 | + | 1.24157i | 0.0176752 | + | 0.122933i | ||||
\(103\) | −0.422105 | − | 0.924280i | −0.0415912 | − | 0.0910720i | 0.887696 | − | 0.460430i | \(-0.152305\pi\) |
−0.929287 | + | 0.369358i | \(0.879578\pi\) | |||||||
\(104\) | 1.69390 | + | 3.70913i | 0.166101 | + | 0.363710i | ||||
\(105\) | −0.0903198 | − | 0.628188i | −0.00881431 | − | 0.0613048i | ||||
\(106\) | −1.46229 | − | 0.939759i | −0.142030 | − | 0.0912775i | ||||
\(107\) | 3.99701 | − | 1.17363i | 0.386406 | − | 0.113459i | −0.0827590 | − | 0.996570i | \(-0.526373\pi\) |
0.469165 | + | 0.883111i | \(0.344555\pi\) | |||||||
\(108\) | 0.142315 | − | 0.989821i | 0.0136943 | − | 0.0952456i | ||||
\(109\) | −12.2888 | + | 14.1821i | −1.17706 | + | 1.35840i | −0.257098 | + | 0.966385i | \(0.582766\pi\) |
−0.919960 | + | 0.392012i | \(0.871779\pi\) | |||||||
\(110\) | −3.90580 | + | 2.51011i | −0.372403 | + | 0.239329i | ||||
\(111\) | 6.76204 | + | 7.80381i | 0.641824 | + | 0.740704i | ||||
\(112\) | 0.608940 | + | 0.178801i | 0.0575394 | + | 0.0168951i | ||||
\(113\) | −2.44726 | + | 5.35875i | −0.230219 | + | 0.504109i | −0.989122 | − | 0.147094i | \(-0.953008\pi\) |
0.758904 | + | 0.651203i | \(0.225735\pi\) | |||||||
\(114\) | 1.51551 | 0.141940 | ||||||||
\(115\) | 3.29806 | − | 3.48178i | 0.307545 | − | 0.324678i | ||||
\(116\) | −4.71024 | −0.437334 | ||||||||
\(117\) | 1.69390 | − | 3.70913i | 0.156602 | − | 0.342909i | ||||
\(118\) | 0.760285 | + | 0.223240i | 0.0699899 | + | 0.0205509i | ||||
\(119\) | 0.521309 | + | 0.601622i | 0.0477883 | + | 0.0551506i | ||||
\(120\) | −0.841254 | + | 0.540641i | −0.0767956 | + | 0.0493535i | ||||
\(121\) | −6.91265 | + | 7.97762i | −0.628423 | + | 0.725239i | ||||
\(122\) | −1.44411 | + | 10.0440i | −0.130744 | + | 0.909344i | ||||
\(123\) | −8.81714 | + | 2.58895i | −0.795014 | + | 0.233437i | ||||
\(124\) | −3.80684 | − | 2.44651i | −0.341864 | − | 0.219703i | ||||
\(125\) | −0.142315 | − | 0.989821i | −0.0127290 | − | 0.0885323i | ||||
\(126\) | −0.263642 | − | 0.577296i | −0.0234871 | − | 0.0514296i | ||||
\(127\) | 6.38105 | + | 13.9726i | 0.566227 | + | 1.23986i | 0.948782 | + | 0.315931i | \(0.102317\pi\) |
−0.382555 | + | 0.923933i | \(0.624956\pi\) | |||||||
\(128\) | −0.142315 | − | 0.989821i | −0.0125790 | − | 0.0874887i | ||||
\(129\) | −6.98829 | − | 4.49110i | −0.615284 | − | 0.395419i | ||||
\(130\) | −3.91245 | + | 1.14880i | −0.343144 | + | 0.100756i | ||||
\(131\) | 2.42640 | − | 16.8760i | 0.211996 | − | 1.47446i | −0.554485 | − | 0.832194i | \(-0.687085\pi\) |
0.766481 | − | 0.642268i | \(-0.222006\pi\) | |||||||
\(132\) | −3.04041 | + | 3.50882i | −0.264634 | + | 0.305404i | ||||
\(133\) | 0.809129 | − | 0.519996i | 0.0701604 | − | 0.0450893i | ||||
\(134\) | 0.145036 | + | 0.167380i | 0.0125292 | + | 0.0144595i | ||||
\(135\) | 0.959493 | + | 0.281733i | 0.0825800 | + | 0.0242477i | ||||
\(136\) | 0.521069 | − | 1.14098i | 0.0446813 | − | 0.0978384i | ||||
\(137\) | 5.52659 | 0.472169 | 0.236084 | − | 0.971733i | \(-0.424136\pi\) | ||||
0.236084 | + | 0.971733i | \(0.424136\pi\) | |||||||
\(138\) | 2.18353 | − | 4.26992i | 0.185875 | − | 0.363479i | ||||
\(139\) | 0.415639 | 0.0352540 | 0.0176270 | − | 0.999845i | \(-0.494389\pi\) | ||||
0.0176270 | + | 0.999845i | \(0.494389\pi\) | |||||||
\(140\) | −0.263642 | + | 0.577296i | −0.0222818 | + | 0.0487904i | ||||
\(141\) | −4.95812 | − | 1.45583i | −0.417549 | − | 0.122603i | ||||
\(142\) | −3.95957 | − | 4.56959i | −0.332280 | − | 0.383471i | ||||
\(143\) | −15.9264 | + | 10.2353i | −1.33183 | + | 0.855915i | ||||
\(144\) | −0.654861 | + | 0.755750i | −0.0545717 | + | 0.0629791i | ||||
\(145\) | 0.670337 | − | 4.66229i | 0.0556684 | − | 0.387182i | ||||
\(146\) | 15.6451 | − | 4.59381i | 1.29480 | − | 0.380186i | ||||
\(147\) | 5.54994 | + | 3.56673i | 0.457751 | + | 0.294179i | ||||
\(148\) | −1.46953 | − | 10.2208i | −0.120795 | − | 0.840146i | ||||
\(149\) | 2.16320 | + | 4.73674i | 0.177216 | + | 0.388049i | 0.977306 | − | 0.211831i | \(-0.0679425\pi\) |
−0.800090 | + | 0.599879i | \(0.795215\pi\) | |||||||
\(150\) | −0.415415 | − | 0.909632i | −0.0339185 | − | 0.0742711i | ||||
\(151\) | 2.91493 | + | 20.2738i | 0.237213 | + | 1.64985i | 0.665636 | + | 0.746277i | \(0.268160\pi\) |
−0.428423 | + | 0.903578i | \(0.640931\pi\) | |||||||
\(152\) | −1.27493 | − | 0.819346i | −0.103410 | − | 0.0664577i | ||||
\(153\) | −1.20352 | + | 0.353387i | −0.0972992 | + | 0.0285696i | ||||
\(154\) | −0.419340 | + | 2.91657i | −0.0337914 | + | 0.235024i | ||||
\(155\) | 2.96338 | − | 3.41992i | 0.238024 | − | 0.274694i | ||||
\(156\) | −3.43031 | + | 2.20453i | −0.274645 | + | 0.176503i | ||||
\(157\) | 12.1505 | + | 14.0224i | 0.969714 | + | 1.11911i | 0.992849 | + | 0.119377i | \(0.0380897\pi\) |
−0.0231352 | + | 0.999732i | \(0.507365\pi\) | |||||||
\(158\) | 12.7258 | + | 3.73664i | 1.01241 | + | 0.297271i | ||||
\(159\) | 0.722088 | − | 1.58115i | 0.0572653 | − | 0.125393i | ||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | −0.299292 | − | 3.02891i | −0.0235875 | − | 0.238712i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | 7.35041 | − | 16.0952i | 0.575729 | − | 1.26067i | −0.367962 | − | 0.929841i | \(-0.619944\pi\) |
0.943691 | − | 0.330829i | \(-0.107328\pi\) | |||||||
\(164\) | 8.81714 | + | 2.58895i | 0.688503 | + | 0.202163i | ||||
\(165\) | −3.04041 | − | 3.50882i | −0.236696 | − | 0.273161i | ||||
\(166\) | 0.774423 | − | 0.497691i | 0.0601069 | − | 0.0386283i | ||||
\(167\) | 6.82003 | − | 7.87074i | 0.527750 | − | 0.609056i | −0.427804 | − | 0.903871i | \(-0.640713\pi\) |
0.955554 | + | 0.294815i | \(0.0952582\pi\) | |||||||
\(168\) | −0.0903198 | + | 0.628188i | −0.00696832 | + | 0.0484657i | ||||
\(169\) | −3.48006 | + | 1.02184i | −0.267697 | + | 0.0786030i | ||||
\(170\) | 1.05521 | + | 0.678144i | 0.0809312 | + | 0.0520113i | ||||
\(171\) | 0.215679 | + | 1.50008i | 0.0164934 | + | 0.114714i | ||||
\(172\) | 3.45085 | + | 7.55631i | 0.263125 | + | 0.576163i | ||||
\(173\) | 6.13672 | + | 13.4375i | 0.466566 | + | 1.02164i | 0.985941 | + | 0.167091i | \(0.0534375\pi\) |
−0.519375 | + | 0.854546i | \(0.673835\pi\) | |||||||
\(174\) | −0.670337 | − | 4.66229i | −0.0508181 | − | 0.353448i | ||||
\(175\) | −0.533899 | − | 0.343116i | −0.0403590 | − | 0.0259372i | ||||
\(176\) | 4.45477 | − | 1.30804i | 0.335791 | − | 0.0985970i | ||||
\(177\) | −0.112768 | + | 0.784317i | −0.00847614 | + | 0.0589529i | ||||
\(178\) | 1.85823 | − | 2.14451i | 0.139280 | − | 0.160738i | ||||
\(179\) | −7.79833 | + | 5.01168i | −0.582874 | + | 0.374591i | −0.798599 | − | 0.601864i | \(-0.794425\pi\) |
0.215725 | + | 0.976454i | \(0.430789\pi\) | |||||||
\(180\) | −0.654861 | − | 0.755750i | −0.0488104 | − | 0.0563302i | ||||
\(181\) | 2.25536 | + | 0.662234i | 0.167640 | + | 0.0492234i | 0.364475 | − | 0.931213i | \(-0.381248\pi\) |
−0.196836 | + | 0.980436i | \(0.563067\pi\) | |||||||
\(182\) | −1.07503 | + | 2.35399i | −0.0796867 | + | 0.174490i | ||||
\(183\) | −10.1473 | −0.750111 | ||||||||
\(184\) | −4.14539 | + | 2.41158i | −0.305603 | + | 0.177784i | ||||
\(185\) | 10.3259 | 0.759176 | ||||||||
\(186\) | 1.87984 | − | 4.11627i | 0.137836 | − | 0.301819i | ||||
\(187\) | 5.58777 | + | 1.64072i | 0.408618 | + | 0.119981i | ||||
\(188\) | 3.38395 | + | 3.90529i | 0.246800 | + | 0.284822i | ||||
\(189\) | 0.533899 | − | 0.343116i | 0.0388355 | − | 0.0249580i | ||||
\(190\) | 0.992447 | − | 1.14534i | 0.0719997 | − | 0.0830920i | ||||
\(191\) | 2.20839 | − | 15.3597i | 0.159793 | − | 1.11139i | −0.739220 | − | 0.673465i | \(-0.764805\pi\) |
0.899013 | − | 0.437922i | \(-0.144286\pi\) | |||||||
\(192\) | 0.959493 | − | 0.281733i | 0.0692454 | − | 0.0203323i | ||||
\(193\) | 12.2985 | + | 7.90377i | 0.885266 | + | 0.568926i | 0.902387 | − | 0.430927i | \(-0.141814\pi\) |
−0.0171204 | + | 0.999853i | \(0.505450\pi\) | |||||||
\(194\) | −0.969809 | − | 6.74517i | −0.0696283 | − | 0.484275i | ||||
\(195\) | −1.69390 | − | 3.70913i | −0.121303 | − | 0.265617i | ||||
\(196\) | −2.74059 | − | 6.00104i | −0.195756 | − | 0.428646i | ||||
\(197\) | 1.40666 | + | 9.78356i | 0.100221 | + | 0.697049i | 0.976543 | + | 0.215324i | \(0.0690807\pi\) |
−0.876322 | + | 0.481726i | \(0.840010\pi\) | |||||||
\(198\) | −3.90580 | − | 2.51011i | −0.277573 | − | 0.178385i | ||||
\(199\) | −0.653037 | + | 0.191749i | −0.0462926 | + | 0.0135927i | −0.304797 | − | 0.952417i | \(-0.598589\pi\) |
0.258504 | + | 0.966010i | \(0.416770\pi\) | |||||||
\(200\) | −0.142315 | + | 0.989821i | −0.0100632 | + | 0.0699909i | ||||
\(201\) | −0.145036 | + | 0.167380i | −0.0102300 | + | 0.0118061i | ||||
\(202\) | −11.7359 | + | 7.54218i | −0.825732 | + | 0.530666i | ||||
\(203\) | −1.95760 | − | 2.25919i | −0.137397 | − | 0.158564i | ||||
\(204\) | 1.20352 | + | 0.353387i | 0.0842636 | + | 0.0247420i | ||||
\(205\) | −3.81740 | + | 8.35895i | −0.266619 | + | 0.583814i | ||||
\(206\) | −1.01610 | −0.0707953 | ||||||||
\(207\) | 4.53720 | + | 1.55363i | 0.315357 | + | 0.107985i | ||||
\(208\) | 4.07762 | 0.282732 | ||||||||
\(209\) | 2.92297 | − | 6.40040i | 0.202186 | − | 0.442725i | ||||
\(210\) | −0.608940 | − | 0.178801i | −0.0420208 | − | 0.0123384i | ||||
\(211\) | −11.1605 | − | 12.8799i | −0.768321 | − | 0.886689i | 0.227888 | − | 0.973687i | \(-0.426818\pi\) |
−0.996208 | + | 0.0869981i | \(0.972273\pi\) | |||||||
\(212\) | −1.46229 | + | 0.939759i | −0.100431 | + | 0.0645429i | ||||
\(213\) | 3.95957 | − | 4.56959i | 0.271305 | − | 0.313103i | ||||
\(214\) | 0.592849 | − | 4.12335i | 0.0405263 | − | 0.281867i | ||||
\(215\) | −7.97050 | + | 2.34035i | −0.543584 | + | 0.159611i | ||||
\(216\) | −0.841254 | − | 0.540641i | −0.0572401 | − | 0.0367859i | ||||
\(217\) | −0.408715 | − | 2.84268i | −0.0277454 | − | 0.192973i | ||||
\(218\) | 7.79551 | + | 17.0698i | 0.527978 | + | 1.15611i | ||||
\(219\) | 6.77358 | + | 14.8321i | 0.457716 | + | 1.00226i | ||||
\(220\) | 0.660744 | + | 4.59558i | 0.0445474 | + | 0.309834i | ||||
\(221\) | 4.30276 | + | 2.76521i | 0.289435 | + | 0.186008i | ||||
\(222\) | 9.90764 | − | 2.90915i | 0.664957 | − | 0.195249i | ||||
\(223\) | 0.292102 | − | 2.03161i | 0.0195606 | − | 0.136047i | −0.977701 | − | 0.210002i | \(-0.932653\pi\) |
0.997262 | + | 0.0739549i | \(0.0235621\pi\) | |||||||
\(224\) | 0.415606 | − | 0.479635i | 0.0277688 | − | 0.0320469i | ||||
\(225\) | 0.841254 | − | 0.540641i | 0.0560836 | − | 0.0360427i | ||||
\(226\) | 3.85786 | + | 4.45221i | 0.256621 | + | 0.296156i | ||||
\(227\) | −10.1046 | − | 2.96697i | −0.670664 | − | 0.196925i | −0.0713651 | − | 0.997450i | \(-0.522736\pi\) |
−0.599298 | + | 0.800526i | \(0.704554\pi\) | |||||||
\(228\) | 0.629565 | − | 1.37855i | 0.0416939 | − | 0.0912970i | ||||
\(229\) | −13.4818 | −0.890903 | −0.445452 | − | 0.895306i | \(-0.646957\pi\) | ||||
−0.445452 | + | 0.895306i | \(0.646957\pi\) | |||||||
\(230\) | −1.79708 | − | 4.44640i | −0.118496 | − | 0.293187i | ||||
\(231\) | −2.94656 | −0.193870 | ||||||||
\(232\) | −1.95670 | + | 4.28458i | −0.128464 | + | 0.281297i | ||||
\(233\) | 19.8322 | + | 5.82327i | 1.29925 | + | 0.381495i | 0.856963 | − | 0.515377i | \(-0.172348\pi\) |
0.442289 | + | 0.896872i | \(0.354166\pi\) | |||||||
\(234\) | −2.67027 | − | 3.08166i | −0.174561 | − | 0.201454i | ||||
\(235\) | −4.34712 | + | 2.79373i | −0.283575 | + | 0.182243i | ||||
\(236\) | 0.518900 | − | 0.598842i | 0.0337775 | − | 0.0389813i | ||||
\(237\) | −1.88753 | + | 13.1281i | −0.122608 | + | 0.852760i | ||||
\(238\) | 0.763814 | − | 0.224276i | 0.0495107 | − | 0.0145377i | ||||
\(239\) | −19.9411 | − | 12.8153i | −1.28988 | − | 0.828955i | −0.297807 | − | 0.954626i | \(-0.596255\pi\) |
−0.992072 | + | 0.125671i | \(0.959892\pi\) | |||||||
\(240\) | 0.142315 | + | 0.989821i | 0.00918638 | + | 0.0638927i | ||||
\(241\) | −10.8214 | − | 23.6955i | −0.697066 | − | 1.52636i | −0.843493 | − | 0.537140i | \(-0.819505\pi\) |
0.146428 | − | 0.989221i | \(-0.453222\pi\) | |||||||
\(242\) | 4.38508 | + | 9.60199i | 0.281884 | + | 0.617239i | ||||
\(243\) | 0.142315 | + | 0.989821i | 0.00912950 | + | 0.0634971i | ||||
\(244\) | 8.53646 | + | 5.48605i | 0.546491 | + | 0.351209i | ||||
\(245\) | 6.32999 | − | 1.85865i | 0.404408 | − | 0.118745i | ||||
\(246\) | −1.30778 | + | 9.09584i | −0.0833813 | + | 0.579929i | ||||
\(247\) | 4.04682 | − | 4.67028i | 0.257493 | − | 0.297163i | ||||
\(248\) | −3.80684 | + | 2.44651i | −0.241735 | + | 0.155353i | ||||
\(249\) | 0.602837 | + | 0.695711i | 0.0382033 | + | 0.0440889i | ||||
\(250\) | −0.959493 | − | 0.281733i | −0.0606837 | − | 0.0178183i | ||||
\(251\) | −1.14910 | + | 2.51618i | −0.0725307 | + | 0.158820i | −0.942425 | − | 0.334419i | \(-0.891460\pi\) |
0.869894 | + | 0.493239i | \(0.164187\pi\) | |||||||
\(252\) | −0.634648 | −0.0399790 | ||||||||
\(253\) | −13.8216 | − | 17.4570i | −0.868958 | − | 1.09752i | ||||
\(254\) | 15.3607 | 0.963814 | ||||||||
\(255\) | −0.521069 | + | 1.14098i | −0.0326306 | + | 0.0714511i | ||||
\(256\) | −0.959493 | − | 0.281733i | −0.0599683 | − | 0.0176083i | ||||
\(257\) | 3.54282 | + | 4.08863i | 0.220995 | + | 0.255042i | 0.855411 | − | 0.517950i | \(-0.173305\pi\) |
−0.634416 | + | 0.772992i | \(0.718759\pi\) | |||||||
\(258\) | −6.98829 | + | 4.49110i | −0.435072 | + | 0.279604i | ||||
\(259\) | 4.29151 | − | 4.95267i | 0.266661 | − | 0.307744i | ||||
\(260\) | −0.580306 | + | 4.03612i | −0.0359890 | + | 0.250309i | ||||
\(261\) | 4.51944 | − | 1.32703i | 0.279746 | − | 0.0821409i | ||||
\(262\) | −14.3430 | − | 9.21767i | −0.886112 | − | 0.569469i | ||||
\(263\) | −0.702621 | − | 4.88684i | −0.0433255 | − | 0.301335i | −0.999950 | − | 0.0100111i | \(-0.996813\pi\) |
0.956624 | − | 0.291324i | \(-0.0940958\pi\) | |||||||
\(264\) | 1.92870 | + | 4.22327i | 0.118703 | + | 0.259924i | ||||
\(265\) | −0.722088 | − | 1.58115i | −0.0443575 | − | 0.0971293i | ||||
\(266\) | −0.136880 | − | 0.952024i | −0.00839267 | − | 0.0583723i | ||||
\(267\) | 2.38714 | + | 1.53412i | 0.146091 | + | 0.0938867i | ||||
\(268\) | 0.212505 | − | 0.0623970i | 0.0129808 | − | 0.00381150i | ||||
\(269\) | −0.977048 | + | 6.79552i | −0.0595717 | + | 0.414330i | 0.938113 | + | 0.346328i | \(0.112572\pi\) |
−0.997685 | + | 0.0680021i | \(0.978338\pi\) | |||||||
\(270\) | 0.654861 | − | 0.755750i | 0.0398536 | − | 0.0459935i | ||||
\(271\) | 3.50106 | − | 2.25000i | 0.212674 | − | 0.136678i | −0.429967 | − | 0.902845i | \(-0.641475\pi\) |
0.642641 | + | 0.766167i | \(0.277838\pi\) | |||||||
\(272\) | −0.821414 | − | 0.947963i | −0.0498056 | − | 0.0574787i | ||||
\(273\) | −2.48303 | − | 0.729082i | −0.150280 | − | 0.0441260i | ||||
\(274\) | 2.29583 | − | 5.02717i | 0.138696 | − | 0.303702i | ||||
\(275\) | −4.64283 | −0.279973 | ||||||||
\(276\) | −2.97698 | − | 3.76000i | −0.179193 | − | 0.226325i | ||||
\(277\) | 23.7731 | 1.42839 | 0.714193 | − | 0.699948i | \(-0.246794\pi\) | ||||
0.714193 | + | 0.699948i | \(0.246794\pi\) | |||||||
\(278\) | 0.172663 | − | 0.378078i | 0.0103556 | − | 0.0226756i | ||||
\(279\) | 4.34190 | + | 1.27490i | 0.259943 | + | 0.0763260i | ||||
\(280\) | 0.415606 | + | 0.479635i | 0.0248372 | + | 0.0286637i | ||||
\(281\) | −11.0316 | + | 7.08959i | −0.658091 | + | 0.422929i | −0.826615 | − | 0.562768i | \(-0.809736\pi\) |
0.168524 | + | 0.985698i | \(0.446100\pi\) | |||||||
\(282\) | −3.38395 | + | 3.90529i | −0.201511 | + | 0.232556i | ||||
\(283\) | −0.578738 | + | 4.02521i | −0.0344024 | + | 0.239274i | −0.999766 | − | 0.0216346i | \(-0.993113\pi\) |
0.965364 | + | 0.260908i | \(0.0840221\pi\) | |||||||
\(284\) | −5.80151 | + | 1.70348i | −0.344256 | + | 0.101083i | ||||
\(285\) | 1.27493 | + | 0.819346i | 0.0755201 | + | 0.0485338i | ||||
\(286\) | 2.69426 | + | 18.7390i | 0.159315 | + | 1.10806i | ||||
\(287\) | 2.42271 | + | 5.30498i | 0.143008 | + | 0.313143i | ||||
\(288\) | 0.415415 | + | 0.909632i | 0.0244786 | + | 0.0536006i | ||||
\(289\) | 2.19544 | + | 15.2696i | 0.129144 | + | 0.898213i | ||||
\(290\) | −3.96250 | − | 2.54655i | −0.232686 | − | 0.149538i | ||||
\(291\) | 6.53850 | − | 1.91988i | 0.383294 | − | 0.112545i | ||||
\(292\) | 2.32052 | − | 16.1396i | 0.135798 | − | 0.944498i | ||||
\(293\) | −19.3798 | + | 22.3655i | −1.13218 | + | 1.30660i | −0.186150 | + | 0.982521i | \(0.559601\pi\) |
−0.946029 | + | 0.324083i | \(0.894944\pi\) | |||||||
\(294\) | 5.54994 | − | 3.56673i | 0.323679 | − | 0.208016i | ||||
\(295\) | 0.518900 | + | 0.598842i | 0.0302115 | + | 0.0348660i | ||||
\(296\) | −9.90764 | − | 2.90915i | −0.575870 | − | 0.169091i | ||||
\(297\) | 1.92870 | − | 4.22327i | 0.111915 | − | 0.245059i | ||||
\(298\) | 5.20731 | 0.301652 | ||||||||
\(299\) | −7.32780 | − | 18.1307i | −0.423778 | − | 1.04853i | ||||
\(300\) | −1.00000 | −0.0577350 | ||||||||
\(301\) | −2.19007 | + | 4.79559i | −0.126234 | + | 0.276413i | ||||
\(302\) | 19.6526 | + | 5.77051i | 1.13088 | + | 0.332056i | ||||
\(303\) | −9.13559 | − | 10.5430i | −0.524826 | − | 0.605682i | ||||
\(304\) | −1.27493 | + | 0.819346i | −0.0731221 | + | 0.0469927i | ||||
\(305\) | −6.64508 | + | 7.66883i | −0.380496 | + | 0.439116i | ||||
\(306\) | −0.178510 | + | 1.24157i | −0.0102048 | + | 0.0709757i | ||||
\(307\) | 16.0476 | − | 4.71199i | 0.915883 | − | 0.268928i | 0.210368 | − | 0.977622i | \(-0.432534\pi\) |
0.705515 | + | 0.708695i | \(0.250716\pi\) | |||||||
\(308\) | 2.47881 | + | 1.59303i | 0.141243 | + | 0.0907714i | ||||
\(309\) | −0.144607 | − | 1.00576i | −0.00822638 | − | 0.0572158i | ||||
\(310\) | −1.87984 | − | 4.11627i | −0.106768 | − | 0.233788i | ||||
\(311\) | −12.8962 | − | 28.2387i | −0.731274 | − | 1.60127i | −0.797397 | − | 0.603456i | \(-0.793790\pi\) |
0.0661225 | − | 0.997812i | \(-0.478937\pi\) | |||||||
\(312\) | 0.580306 | + | 4.03612i | 0.0328533 | + | 0.228500i | ||||
\(313\) | −16.2299 | − | 10.4303i | −0.917367 | − | 0.589556i | −0.00547422 | − | 0.999985i | \(-0.501743\pi\) |
−0.911892 | + | 0.410429i | \(0.865379\pi\) | |||||||
\(314\) | 17.8027 | − | 5.22735i | 1.00467 | − | 0.294996i | ||||
\(315\) | 0.0903198 | − | 0.628188i | 0.00508894 | − | 0.0353944i | ||||
\(316\) | 8.68547 | − | 10.0236i | 0.488596 | − | 0.563870i | ||||
\(317\) | 21.6010 | − | 13.8821i | 1.21323 | − | 0.779696i | 0.232034 | − | 0.972708i | \(-0.425462\pi\) |
0.981196 | + | 0.193012i | \(0.0618256\pi\) | |||||||
\(318\) | −1.13830 | − | 1.31367i | −0.0638327 | − | 0.0736668i | ||||
\(319\) | −20.9830 | − | 6.16117i | −1.17482 | − | 0.344959i | ||||
\(320\) | 0.415415 | − | 0.909632i | 0.0232224 | − | 0.0508500i | ||||
\(321\) | 4.16576 | 0.232510 | ||||||||
\(322\) | −2.87953 | − | 0.986010i | −0.160470 | − | 0.0549482i | ||||
\(323\) | −1.90095 | −0.105772 | ||||||||
\(324\) | 0.415415 | − | 0.909632i | 0.0230786 | − | 0.0505351i | ||||
\(325\) | −3.91245 | − | 1.14880i | −0.217024 | − | 0.0637239i | ||||
\(326\) | −11.5872 | − | 13.3723i | −0.641755 | − | 0.740625i | ||||
\(327\) | −15.7866 | + | 10.1454i | −0.873002 | + | 0.561044i | ||||
\(328\) | 6.01776 | − | 6.94486i | 0.332275 | − | 0.383466i | ||||
\(329\) | −0.466722 | + | 3.24612i | −0.0257312 | + | 0.178964i | ||||
\(330\) | −4.45477 | + | 1.30804i | −0.245227 | + | 0.0720051i | ||||
\(331\) | −20.2940 | − | 13.0422i | −1.11546 | − | 0.716863i | −0.152984 | − | 0.988229i | \(-0.548888\pi\) |
−0.962476 | + | 0.271366i | \(0.912525\pi\) | |||||||
\(332\) | −0.131009 | − | 0.911188i | −0.00719006 | − | 0.0500079i | ||||
\(333\) | 4.28954 | + | 9.39278i | 0.235065 | + | 0.514721i | ||||
\(334\) | −4.32633 | − | 9.47334i | −0.236726 | − | 0.518358i | ||||
\(335\) | 0.0315193 | + | 0.219222i | 0.00172208 | + | 0.0119774i | ||||
\(336\) | 0.533899 | + | 0.343116i | 0.0291266 | + | 0.0187185i | ||||
\(337\) | −10.7411 | + | 3.15388i | −0.585106 | + | 0.171803i | −0.560870 | − | 0.827904i | \(-0.689533\pi\) |
−0.0242357 | + | 0.999706i | \(0.507715\pi\) | |||||||
\(338\) | −0.516173 | + | 3.59006i | −0.0280761 | + | 0.195274i | ||||
\(339\) | −3.85786 | + | 4.45221i | −0.209530 | + | 0.241811i | ||||
\(340\) | 1.05521 | − | 0.678144i | 0.0572270 | − | 0.0367775i | ||||
\(341\) | −13.7585 | − | 15.8781i | −0.745063 | − | 0.859848i | ||||
\(342\) | 1.45412 | + | 0.426968i | 0.0786298 | + | 0.0230878i | ||||
\(343\) | 3.58480 | − | 7.84962i | 0.193561 | − | 0.423840i | ||||
\(344\) | 8.30699 | 0.447883 | ||||||||
\(345\) | 4.14539 | − | 2.41158i | 0.223181 | − | 0.129835i | ||||
\(346\) | 14.7725 | 0.794175 | ||||||||
\(347\) | −3.80652 | + | 8.33512i | −0.204345 | + | 0.447453i | −0.983862 | − | 0.178928i | \(-0.942737\pi\) |
0.779517 | + | 0.626381i | \(0.215464\pi\) | |||||||
\(348\) | −4.51944 | − | 1.32703i | −0.242267 | − | 0.0711361i | ||||
\(349\) | 1.69993 | + | 1.96182i | 0.0909950 | + | 0.105014i | 0.799421 | − | 0.600771i | \(-0.205140\pi\) |
−0.708426 | + | 0.705785i | \(0.750594\pi\) | |||||||
\(350\) | −0.533899 | + | 0.343116i | −0.0285381 | + | 0.0183403i | ||||
\(351\) | 2.67027 | − | 3.08166i | 0.142529 | − | 0.164487i | ||||
\(352\) | 0.660744 | − | 4.59558i | 0.0352178 | − | 0.244945i | ||||
\(353\) | 0.0427256 | − | 0.0125454i | 0.00227406 | − | 0.000667723i | −0.280595 | − | 0.959826i | \(-0.590532\pi\) |
0.282869 | + | 0.959158i | \(0.408714\pi\) | |||||||
\(354\) | 0.666594 | + | 0.428394i | 0.0354291 | + | 0.0227689i | ||||
\(355\) | −0.860497 | − | 5.98489i | −0.0456704 | − | 0.317645i | ||||
\(356\) | −1.17878 | − | 2.58117i | −0.0624752 | − | 0.136802i | ||||
\(357\) | 0.330695 | + | 0.724122i | 0.0175023 | + | 0.0383246i | ||||
\(358\) | 1.31924 | + | 9.17553i | 0.0697241 | + | 0.484942i | ||||
\(359\) | −12.2268 | − | 7.85768i | −0.645305 | − | 0.414713i | 0.176643 | − | 0.984275i | \(-0.443476\pi\) |
−0.821948 | + | 0.569562i | \(0.807113\pi\) | |||||||
\(360\) | −0.959493 | + | 0.281733i | −0.0505697 | + | 0.0148486i | ||||
\(361\) | 2.37712 | − | 16.5332i | 0.125111 | − | 0.870169i | ||||
\(362\) | 1.53930 | − | 1.77645i | 0.0809038 | − | 0.0933680i | ||||
\(363\) | −8.88020 | + | 5.70696i | −0.466089 | + | 0.299537i | ||||
\(364\) | 1.69468 | + | 1.95577i | 0.0888255 | + | 0.102510i | ||||
\(365\) | 15.6451 | + | 4.59381i | 0.818901 | + | 0.240451i | ||||
\(366\) | −4.21535 | + | 9.23032i | −0.220340 | + | 0.482477i | ||||
\(367\) | −12.1296 | −0.633161 | −0.316581 | − | 0.948566i | \(-0.602535\pi\) | ||||
−0.316581 | + | 0.948566i | \(0.602535\pi\) | |||||||
\(368\) | 0.471588 | + | 4.77259i | 0.0245832 | + | 0.248788i | ||||
\(369\) | −9.18937 | −0.478380 | ||||||||
\(370\) | 4.28954 | − | 9.39278i | 0.223003 | − | 0.488307i | ||||
\(371\) | −1.05848 | − | 0.310797i | −0.0549535 | − | 0.0161358i | ||||
\(372\) | −2.96338 | − | 3.41992i | −0.153644 | − | 0.177314i | ||||
\(373\) | −9.69647 | + | 6.23154i | −0.502064 | + | 0.322657i | −0.767041 | − | 0.641598i | \(-0.778272\pi\) |
0.264977 | + | 0.964255i | \(0.414636\pi\) | |||||||
\(374\) | 3.81369 | − | 4.40123i | 0.197201 | − | 0.227582i | ||||
\(375\) | 0.142315 | − | 0.989821i | 0.00734911 | − | 0.0511142i | ||||
\(376\) | 4.95812 | − | 1.45583i | 0.255695 | − | 0.0750790i | ||||
\(377\) | −16.1576 | − | 10.3838i | −0.832158 | − | 0.534795i | ||||
\(378\) | −0.0903198 | − | 0.628188i | −0.00464555 | − | 0.0323105i | ||||
\(379\) | −8.76485 | − | 19.1923i | −0.450220 | − | 0.985844i | −0.989609 | − | 0.143787i | \(-0.954072\pi\) |
0.539389 | − | 0.842057i | \(-0.318655\pi\) | |||||||
\(380\) | −0.629565 | − | 1.37855i | −0.0322960 | − | 0.0707184i | ||||
\(381\) | 2.18605 | + | 15.2043i | 0.111995 | + | 0.778941i | ||||
\(382\) | −13.0543 | − | 8.38946i | −0.667914 | − | 0.429242i | ||||
\(383\) | −18.1179 | + | 5.31989i | −0.925780 | + | 0.271834i | −0.709669 | − | 0.704535i | \(-0.751156\pi\) |
−0.216111 | + | 0.976369i | \(0.569337\pi\) | |||||||
\(384\) | 0.142315 | − | 0.989821i | 0.00726247 | − | 0.0505116i | ||||
\(385\) | −1.92959 | + | 2.22686i | −0.0983409 | + | 0.113491i | ||||
\(386\) | 12.2985 | − | 7.90377i | 0.625978 | − | 0.402291i | ||||
\(387\) | −5.43992 | − | 6.27801i | −0.276527 | − | 0.319129i | ||||
\(388\) | −6.53850 | − | 1.91988i | −0.331942 | − | 0.0974669i | ||||
\(389\) | 5.33480 | − | 11.6816i | 0.270485 | − | 0.592280i | −0.724834 | − | 0.688924i | \(-0.758083\pi\) |
0.995319 | + | 0.0966437i | \(0.0308107\pi\) | |||||||
\(390\) | −4.07762 | −0.206478 | ||||||||
\(391\) | −2.73888 | + | 5.35590i | −0.138511 | + | 0.270860i | ||||
\(392\) | −6.59722 | −0.333210 | ||||||||
\(393\) | 7.08263 | − | 15.5088i | 0.357271 | − | 0.782315i | ||||
\(394\) | 9.48378 | + | 2.78469i | 0.477786 | + | 0.140291i | ||||
\(395\) | 8.68547 | + | 10.0236i | 0.437013 | + | 0.504340i | ||||
\(396\) | −3.90580 | + | 2.51011i | −0.196274 | + | 0.126138i | ||||
\(397\) | 17.5657 | − | 20.2719i | 0.881598 | − | 1.01742i | −0.118104 | − | 0.993001i | \(-0.537682\pi\) |
0.999702 | − | 0.0244169i | \(-0.00777292\pi\) | |||||||
\(398\) | −0.0968604 | + | 0.673679i | −0.00485517 | + | 0.0337685i | ||||
\(399\) | 0.922853 | − | 0.270974i | 0.0462005 | − | 0.0135657i | ||||
\(400\) | 0.841254 | + | 0.540641i | 0.0420627 | + | 0.0270320i | ||||
\(401\) | 0.137366 | + | 0.955401i | 0.00685973 | + | 0.0477105i | 0.992964 | − | 0.118418i | \(-0.0377824\pi\) |
−0.986104 | + | 0.166129i | \(0.946873\pi\) | |||||||
\(402\) | 0.0920044 | + | 0.201462i | 0.00458876 | + | 0.0100480i | ||||
\(403\) | −7.66526 | − | 16.7846i | −0.381834 | − | 0.836099i | ||||
\(404\) | 1.98535 | + | 13.8084i | 0.0987751 | + | 0.686996i | ||||
\(405\) | 0.841254 | + | 0.540641i | 0.0418022 | + | 0.0268647i | ||||
\(406\) | −2.86825 | + | 0.842194i | −0.142349 | + | 0.0417974i | ||||
\(407\) | 6.82279 | − | 47.4535i | 0.338193 | − | 2.35218i | ||||
\(408\) | 0.821414 | − | 0.947963i | 0.0406661 | − | 0.0469311i | ||||
\(409\) | 15.0330 | − | 9.66114i | 0.743335 | − | 0.477712i | −0.113348 | − | 0.993555i | \(-0.536158\pi\) |
0.856683 | + | 0.515843i | \(0.172521\pi\) | |||||||
\(410\) | 6.01776 | + | 6.94486i | 0.297196 | + | 0.342982i | ||||
\(411\) | 5.30273 | + | 1.55702i | 0.261564 | + | 0.0768022i | ||||
\(412\) | −0.422105 | + | 0.924280i | −0.0207956 | + | 0.0455360i | ||||
\(413\) | 0.502883 | 0.0247453 | ||||||||
\(414\) | 3.29806 | − | 3.48178i | 0.162091 | − | 0.171120i | ||||
\(415\) | 0.920558 | 0.0451884 | ||||||||
\(416\) | 1.69390 | − | 3.70913i | 0.0830505 | − | 0.181855i | ||||
\(417\) | 0.398803 | + | 0.117099i | 0.0195294 | + | 0.00573436i | ||||
\(418\) | −4.60777 | − | 5.31765i | −0.225373 | − | 0.260095i | ||||
\(419\) | −2.45829 | + | 1.57985i | −0.120095 | + | 0.0771806i | −0.599309 | − | 0.800517i | \(-0.704558\pi\) |
0.479214 | + | 0.877698i | \(0.340922\pi\) | |||||||
\(420\) | −0.415606 | + | 0.479635i | −0.0202795 | + | 0.0234038i | ||||
\(421\) | 0.196990 | − | 1.37010i | 0.00960071 | − | 0.0667744i | −0.984458 | − | 0.175621i | \(-0.943807\pi\) |
0.994059 | + | 0.108847i | \(0.0347158\pi\) | |||||||
\(422\) | −16.3522 | + | 4.80144i | −0.796013 | + | 0.233731i | ||||
\(423\) | −4.34712 | − | 2.79373i | −0.211364 | − | 0.135836i | ||||
\(424\) | 0.247376 | + | 1.72054i | 0.0120136 | + | 0.0835568i | ||||
\(425\) | 0.521069 | + | 1.14098i | 0.0252756 | + | 0.0553458i | ||||
\(426\) | −2.51178 | − | 5.50003i | −0.121696 | − | 0.266477i | ||||
\(427\) | 0.916503 | + | 6.37442i | 0.0443527 | + | 0.308480i | ||||
\(428\) | −3.50446 | − | 2.25218i | −0.169394 | − | 0.108863i | ||||
\(429\) | −18.1648 | + | 5.33368i | −0.877007 | + | 0.257512i | ||||
\(430\) | −1.18221 | + | 8.22244i | −0.0570111 | + | 0.396521i | ||||
\(431\) | −19.2651 | + | 22.2331i | −0.927966 | + | 1.07093i | 0.0693413 | + | 0.997593i | \(0.477910\pi\) |
−0.997307 | + | 0.0733368i | \(0.976635\pi\) | |||||||
\(432\) | −0.841254 | + | 0.540641i | −0.0404748 | + | 0.0260116i | ||||
\(433\) | −9.05181 | − | 10.4463i | −0.435002 | − | 0.502019i | 0.495346 | − | 0.868696i | \(-0.335041\pi\) |
−0.930349 | + | 0.366676i | \(0.880496\pi\) | |||||||
\(434\) | −2.75557 | − | 0.809110i | −0.132272 | − | 0.0388385i | ||||
\(435\) | 1.95670 | − | 4.28458i | 0.0938167 | − | 0.205430i | ||||
\(436\) | 18.7656 | 0.898709 | ||||||||
\(437\) | 5.93429 | + | 4.19641i | 0.283875 | + | 0.200742i | ||||
\(438\) | 16.3056 | 0.779110 | ||||||||
\(439\) | −2.97658 | + | 6.51780i | −0.142064 | + | 0.311078i | −0.967268 | − | 0.253758i | \(-0.918333\pi\) |
0.825203 | + | 0.564836i | \(0.191061\pi\) | |||||||
\(440\) | 4.45477 | + | 1.30804i | 0.212373 | + | 0.0623582i | ||||
\(441\) | 4.32026 | + | 4.98585i | 0.205727 | + | 0.237421i | ||||
\(442\) | 4.30276 | − | 2.76521i | 0.204661 | − | 0.131528i | ||||
\(443\) | −0.764927 | + | 0.882773i | −0.0363428 | + | 0.0419418i | −0.773630 | − | 0.633638i | \(-0.781561\pi\) |
0.737287 | + | 0.675579i | \(0.236106\pi\) | |||||||
\(444\) | 1.46953 | − | 10.2208i | 0.0697408 | − | 0.485058i | ||||
\(445\) | 2.72265 | − | 0.799443i | 0.129066 | − | 0.0378973i | ||||
\(446\) | −1.72668 | − | 1.10967i | −0.0817605 | − | 0.0525443i | ||||
\(447\) | 0.741078 | + | 5.15431i | 0.0350518 | + | 0.243790i | ||||
\(448\) | −0.263642 | − | 0.577296i | −0.0124559 | − | 0.0272747i | ||||
\(449\) | 13.0187 | + | 28.5071i | 0.614392 | + | 1.34533i | 0.919529 | + | 0.393023i | \(0.128571\pi\) |
−0.305136 | + | 0.952309i | \(0.598702\pi\) | |||||||
\(450\) | −0.142315 | − | 0.989821i | −0.00670879 | − | 0.0466606i | ||||
\(451\) | 35.8919 | + | 23.0663i | 1.69008 | + | 1.08615i | ||||
\(452\) | 5.65248 | − | 1.65972i | 0.265870 | − | 0.0780666i | ||||
\(453\) | −2.91493 | + | 20.2738i | −0.136955 | + | 0.952544i | ||||
\(454\) | −6.89644 | + | 7.95891i | −0.323666 | + | 0.373530i | ||||
\(455\) | −2.17704 | + | 1.39910i | −0.102061 | + | 0.0655907i | ||||
\(456\) | −0.992447 | − | 1.14534i | −0.0464756 | − | 0.0536357i | ||||
\(457\) | −21.9219 | − | 6.43685i | −1.02546 | − | 0.301103i | −0.274598 | − | 0.961559i | \(-0.588545\pi\) |
−0.750865 | + | 0.660456i | \(0.770363\pi\) | |||||||
\(458\) | −5.60055 | + | 12.2635i | −0.261696 | + | 0.573035i | ||||
\(459\) | −1.25433 | −0.0585473 | ||||||||
\(460\) | −4.79112 | − | 0.212422i | −0.223387 | − | 0.00990424i | ||||
\(461\) | 8.22119 | 0.382899 | 0.191450 | − | 0.981502i | \(-0.438681\pi\) | ||||
0.191450 | + | 0.981502i | \(0.438681\pi\) | |||||||
\(462\) | −1.22405 | + | 2.68029i | −0.0569478 | + | 0.124698i | ||||
\(463\) | 3.37475 | + | 0.990915i | 0.156838 | + | 0.0460517i | 0.359209 | − | 0.933257i | \(-0.383047\pi\) |
−0.202371 | + | 0.979309i | \(0.564865\pi\) | |||||||
\(464\) | 3.08455 | + | 3.55976i | 0.143197 | + | 0.165258i | ||||
\(465\) | 3.80684 | − | 2.44651i | 0.176538 | − | 0.113454i | ||||
\(466\) | 13.5356 | − | 15.6210i | 0.627026 | − | 0.723627i | ||||
\(467\) | 2.92102 | − | 20.3161i | 0.135169 | − | 0.940118i | −0.803502 | − | 0.595302i | \(-0.797032\pi\) |
0.938670 | − | 0.344816i | \(-0.112059\pi\) | |||||||
\(468\) | −3.91245 | + | 1.14880i | −0.180853 | + | 0.0531032i | ||||
\(469\) | 0.118246 | + | 0.0759920i | 0.00546009 | + | 0.00350899i | ||||
\(470\) | 0.735403 | + | 5.11484i | 0.0339216 | + | 0.235930i | ||||
\(471\) | 7.70773 | + | 16.8776i | 0.355154 | + | 0.777678i | ||||
\(472\) | −0.329167 | − | 0.720776i | −0.0151512 | − | 0.0331764i | ||||
\(473\) | 5.48880 | + | 38.1754i | 0.252375 | + | 1.75531i | ||||
\(474\) | 11.1576 | + | 7.17056i | 0.512486 | + | 0.329355i | ||||
\(475\) | 1.45412 | − | 0.426968i | 0.0667196 | − | 0.0195906i | ||||
\(476\) | 0.113291 | − | 0.787957i | 0.00519269 | − | 0.0361160i | ||||
\(477\) | 1.13830 | − | 1.31367i | 0.0521192 | − | 0.0601487i | ||||
\(478\) | −19.9411 | + | 12.8153i | −0.912082 | + | 0.586160i | ||||
\(479\) | 18.8025 | + | 21.6993i | 0.859110 | + | 0.991465i | 0.999999 | + | 0.00143991i | \(0.000458337\pi\) |
−0.140889 | + | 0.990025i | \(0.544996\pi\) | |||||||
\(480\) | 0.959493 | + | 0.281733i | 0.0437947 | + | 0.0128593i | ||||
\(481\) | 17.4911 | − | 38.3002i | 0.797526 | − | 1.74634i | ||||
\(482\) | −26.0495 | −1.18652 | ||||||||
\(483\) | 0.566174 | − | 2.99054i | 0.0257618 | − | 0.136074i | ||||
\(484\) | 10.5559 | 0.479814 | ||||||||
\(485\) | 2.83086 | − | 6.19872i | 0.128543 | − | 0.281469i | ||||
\(486\) | 0.959493 | + | 0.281733i | 0.0435235 | + | 0.0127796i | ||||
\(487\) | −12.0282 | − | 13.8813i | −0.545051 | − | 0.629022i | 0.414672 | − | 0.909971i | \(-0.363896\pi\) |
−0.959723 | + | 0.280949i | \(0.909351\pi\) | |||||||
\(488\) | 8.53646 | − | 5.48605i | 0.386428 | − | 0.248342i | ||||
\(489\) | 11.5872 | − | 13.3723i | 0.523991 | − | 0.604718i | ||||
\(490\) | 0.938883 | − | 6.53007i | 0.0424144 | − | 0.294999i | ||||
\(491\) | 24.6127 | − | 7.22694i | 1.11075 | − | 0.326147i | 0.325638 | − | 0.945495i | \(-0.394421\pi\) |
0.785117 | + | 0.619347i | \(0.212603\pi\) | |||||||
\(492\) | 7.73059 | + | 4.96815i | 0.348522 | + | 0.223981i | ||||
\(493\) | 0.840826 | + | 5.84807i | 0.0378689 | + | 0.263384i | ||||
\(494\) | −2.56713 | − | 5.62122i | −0.115500 | − | 0.252911i | ||||
\(495\) | −1.92870 | − | 4.22327i | −0.0866888 | − | 0.189822i | ||||
\(496\) | 0.644003 | + | 4.47914i | 0.0289166 | + | 0.201119i | ||||
\(497\) | −3.22819 | − | 2.07463i | −0.144804 | − | 0.0930598i | ||||
\(498\) | 0.883269 | − | 0.259351i | 0.0395802 | − | 0.0116218i | ||||
\(499\) | 2.12257 | − | 14.7628i | 0.0950193 | − | 0.660874i | −0.885527 | − | 0.464587i | \(-0.846203\pi\) |
0.980547 | − | 0.196286i | \(-0.0628883\pi\) | |||||||
\(500\) | −0.654861 | + | 0.755750i | −0.0292863 | + | 0.0337981i | ||||
\(501\) | 8.76122 | − | 5.63049i | 0.391422 | − | 0.251552i | ||||
\(502\) | 1.81145 | + | 2.09052i | 0.0808488 | + | 0.0933045i | ||||
\(503\) | 30.1016 | + | 8.83863i | 1.34216 | + | 0.394095i | 0.872441 | − | 0.488719i | \(-0.162536\pi\) |
0.469723 | + | 0.882814i | \(0.344354\pi\) | |||||||
\(504\) | −0.263642 | + | 0.577296i | −0.0117436 | + | 0.0257148i | ||||
\(505\) | −13.9504 | −0.620786 | ||||||||
\(506\) | −21.6212 | + | 5.32068i | −0.961180 | + | 0.236533i | ||||
\(507\) | −3.62698 | −0.161080 | ||||||||
\(508\) | 6.38105 | − | 13.9726i | 0.283113 | − | 0.619932i | ||||
\(509\) | −20.2277 | − | 5.93938i | −0.896575 | − | 0.263258i | −0.199195 | − | 0.979960i | \(-0.563833\pi\) |
−0.697380 | + | 0.716701i | \(0.745651\pi\) | |||||||
\(510\) | 0.821414 | + | 0.947963i | 0.0363728 | + | 0.0419765i | ||||
\(511\) | 8.70553 | − | 5.59471i | 0.385110 | − | 0.247495i | ||||
\(512\) | −0.654861 | + | 0.755750i | −0.0289410 | + | 0.0333997i | ||||
\(513\) | −0.215679 | + | 1.50008i | −0.00952247 | + | 0.0662303i | ||||
\(514\) | 5.19089 | − | 1.52418i | 0.228960 | − | 0.0672288i | ||||
\(515\) | −0.854801 | − | 0.549347i | −0.0376670 | − | 0.0242071i | ||||
\(516\) | 1.18221 | + | 8.22244i | 0.0520438 | + | 0.361973i | ||||
\(517\) | 9.96645 | + | 21.8235i | 0.438324 | + | 0.959796i | ||||
\(518\) | −2.72235 | − | 5.96111i | −0.119613 | − | 0.261916i | ||||
\(519\) | 2.10235 | + | 14.6221i | 0.0922828 | + | 0.641841i | ||||
\(520\) | 3.43031 | + | 2.20453i | 0.150429 | + | 0.0966749i | ||||
\(521\) | −20.3503 | + | 5.97539i | −0.891563 | + | 0.261787i | −0.695261 | − | 0.718757i | \(-0.744711\pi\) |
−0.196302 | + | 0.980544i | \(0.562893\pi\) | |||||||
\(522\) | 0.670337 | − | 4.66229i | 0.0293398 | − | 0.204063i | ||||
\(523\) | 8.68322 | − | 10.0210i | 0.379691 | − | 0.438187i | −0.533449 | − | 0.845832i | \(-0.679105\pi\) |
0.913140 | + | 0.407645i | \(0.133650\pi\) | |||||||
\(524\) | −14.3430 | + | 9.21767i | −0.626575 | + | 0.402676i | ||||
\(525\) | −0.415606 | − | 0.479635i | −0.0181385 | − | 0.0209330i | ||||
\(526\) | −4.73710 | − | 1.39094i | −0.206547 | − | 0.0606478i | ||||
\(527\) | −2.35794 | + | 5.16317i | −0.102714 | + | 0.224911i | ||||
\(528\) | 4.64283 | 0.202053 | ||||||||
\(529\) | 20.3734 | − | 10.6736i | 0.885799 | − | 0.464069i | ||||
\(530\) | −1.73823 | −0.0755040 | ||||||||
\(531\) | −0.329167 | + | 0.720776i | −0.0142846 | + | 0.0312790i | ||||
\(532\) | −0.922853 | − | 0.270974i | −0.0400108 | − | 0.0117482i | ||||
\(533\) | 24.5381 | + | 28.3185i | 1.06286 | + | 1.22661i | ||||
\(534\) | 2.38714 | − | 1.53412i | 0.103302 | − | 0.0663879i | ||||
\(535\) | 2.72799 | − | 3.14827i | 0.117941 | − | 0.136111i | ||||
\(536\) | 0.0315193 | − | 0.219222i | 0.00136143 | − | 0.00946893i | ||||
\(537\) | −8.89439 | + | 2.61163i | −0.383821 | + | 0.112700i | ||||
\(538\) | 5.77554 | + | 3.71171i | 0.249001 | + | 0.160023i | ||||
\(539\) | −4.35908 | − | 30.3180i | −0.187759 | − | 1.30589i | ||||
\(540\) | −0.415415 | − | 0.909632i | −0.0178766 | − | 0.0391443i | ||||
\(541\) | 5.73338 | + | 12.5544i | 0.246497 | + | 0.539754i | 0.991924 | − | 0.126834i | \(-0.0404815\pi\) |
−0.745427 | + | 0.666588i | \(0.767754\pi\) | |||||||
\(542\) | −0.592275 | − | 4.11936i | −0.0254404 | − | 0.176942i | ||||
\(543\) | 1.97743 | + | 1.27082i | 0.0848596 | + | 0.0545360i | ||||
\(544\) | −1.20352 | + | 0.353387i | −0.0516007 | + | 0.0151513i | ||||
\(545\) | −2.67062 | + | 18.5746i | −0.114397 | + | 0.795648i | ||||
\(546\) | −1.69468 | + | 1.95577i | −0.0725257 | + | 0.0836991i | ||||
\(547\) | 13.2660 | − | 8.52553i | 0.567213 | − | 0.364525i | −0.225386 | − | 0.974270i | \(-0.572364\pi\) |
0.792598 | + | 0.609744i | \(0.208728\pi\) | |||||||
\(548\) | −3.61915 | − | 4.17672i | −0.154602 | − | 0.178421i | ||||
\(549\) | −9.73628 | − | 2.85883i | −0.415534 | − | 0.122012i | ||||
\(550\) | −1.92870 | + | 4.22327i | −0.0822402 | + | 0.180081i | ||||
\(551\) | 7.13840 | 0.304106 | ||||||||
\(552\) | −4.65690 | + | 1.14600i | −0.198211 | + | 0.0487769i | ||||
\(553\) | 8.41738 | 0.357943 | ||||||||
\(554\) | 9.87570 | − | 21.6248i | 0.419578 | − | 0.918748i | ||||
\(555\) | 9.90764 | + | 2.90915i | 0.420556 | + | 0.123486i | ||||
\(556\) | −0.272186 | − | 0.314119i | −0.0115432 | − | 0.0133216i | ||||
\(557\) | −36.0032 | + | 23.1378i | −1.52550 | + | 0.980381i | −0.534704 | + | 0.845040i | \(0.679577\pi\) |
−0.990799 | + | 0.135341i | \(0.956787\pi\) | |||||||
\(558\) | 2.96338 | − | 3.41992i | 0.125450 | − | 0.144777i | ||||
\(559\) | −4.82060 | + | 33.5280i | −0.203889 | + | 1.41808i | ||||
\(560\) | 0.608940 | − | 0.178801i | 0.0257324 | − | 0.00755572i | ||||
\(561\) | 4.89918 | + | 3.14851i | 0.206844 | + | 0.132930i | ||||
\(562\) | 1.86622 | + | 12.9798i | 0.0787216 | + | 0.547521i | ||||
\(563\) | −9.62893 | − | 21.0844i | −0.405811 | − | 0.888602i | −0.996648 | − | 0.0818113i | \(-0.973930\pi\) |
0.590837 | − | 0.806791i | \(-0.298798\pi\) | |||||||
\(564\) | 2.14663 | + | 4.70046i | 0.0903894 | + | 0.197925i | ||||
\(565\) | 0.838393 | + | 5.83115i | 0.0352715 | + | 0.245318i | ||||
\(566\) | 3.42104 | + | 2.19857i | 0.143797 | + | 0.0924128i | ||||
\(567\) | 0.608940 | − | 0.178801i | 0.0255731 | − | 0.00750893i | ||||
\(568\) | −0.860497 | + | 5.98489i | −0.0361056 | + | 0.251120i | ||||
\(569\) | −13.8040 | + | 15.9307i | −0.578695 | + | 0.667850i | −0.967324 | − | 0.253545i | \(-0.918404\pi\) |
0.388628 | + | 0.921395i | \(0.372949\pi\) | |||||||
\(570\) | 1.27493 | − | 0.819346i | 0.0534008 | − | 0.0343186i | ||||
\(571\) | 14.3126 | + | 16.5176i | 0.598962 | + | 0.691239i | 0.971571 | − | 0.236749i | \(-0.0760820\pi\) |
−0.372608 | + | 0.927989i | \(0.621537\pi\) | |||||||
\(572\) | 18.1648 | + | 5.33368i | 0.759510 | + | 0.223012i | ||||
\(573\) | 6.44625 | − | 14.1153i | 0.269296 | − | 0.589676i | ||||
\(574\) | 5.83201 | 0.243423 | ||||||||
\(575\) | 0.892108 | − | 4.71213i | 0.0372035 | − | 0.196509i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 6.95792 | − | 15.2357i | 0.289662 | − | 0.634271i | −0.707727 | − | 0.706486i | \(-0.750279\pi\) |
0.997389 | + | 0.0722148i | \(0.0230067\pi\) | |||||||
\(578\) | 14.8018 | + | 4.34619i | 0.615672 | + | 0.180778i | ||||
\(579\) | 9.57358 | + | 11.0485i | 0.397865 | + | 0.459160i | ||||
\(580\) | −3.96250 | + | 2.54655i | −0.164534 | + | 0.105740i | ||||
\(581\) | 0.382589 | − | 0.441531i | 0.0158725 | − | 0.0183178i | ||||
\(582\) | 0.969809 | − | 6.74517i | 0.0401999 | − | 0.279596i | ||||
\(583\) | −7.74342 | + | 2.27367i | −0.320700 | + | 0.0941659i | ||||
\(584\) | −13.7171 | − | 8.81545i | −0.567618 | − | 0.364786i | ||||
\(585\) | −0.580306 | − | 4.03612i | −0.0239927 | − | 0.166873i | ||||
\(586\) | 12.2937 | + | 26.9194i | 0.507847 | + | 1.11203i | ||||
\(587\) | −11.5142 | − | 25.2125i | −0.475240 | − | 1.04063i | −0.983745 | − | 0.179572i | \(-0.942529\pi\) |
0.508504 | − | 0.861059i | \(-0.330199\pi\) | |||||||
\(588\) | −0.938883 | − | 6.53007i | −0.0387189 | − | 0.269296i | ||||
\(589\) | 5.76930 | + | 3.70770i | 0.237720 | + | 0.152773i | ||||
\(590\) | 0.760285 | − | 0.223240i | 0.0313004 | − | 0.00919064i | ||||
\(591\) | −1.40666 | + | 9.78356i | −0.0578624 | + | 0.402442i | ||||
\(592\) | −6.76204 | + | 7.80381i | −0.277918 | + | 0.320734i | ||||
\(593\) | −36.3331 | + | 23.3499i | −1.49202 | + | 0.958865i | −0.496138 | + | 0.868244i | \(0.665249\pi\) |
−0.995885 | + | 0.0906211i | \(0.971115\pi\) | |||||||
\(594\) | −3.04041 | − | 3.50882i | −0.124750 | − | 0.143969i | ||||
\(595\) | 0.763814 | + | 0.224276i | 0.0313133 | + | 0.00919442i | ||||
\(596\) | 2.16320 | − | 4.73674i | 0.0886080 | − | 0.194024i | ||||
\(597\) | −0.680607 | −0.0278554 | ||||||||
\(598\) | −19.5364 | − | 0.866177i | −0.798902 | − | 0.0354206i | ||||
\(599\) | −28.5126 | −1.16499 | −0.582496 | − | 0.812834i | \(-0.697924\pi\) | ||||
−0.582496 | + | 0.812834i | \(0.697924\pi\) | |||||||
\(600\) | −0.415415 | + | 0.909632i | −0.0169592 | + | 0.0371356i | ||||
\(601\) | 4.55155 | + | 1.33646i | 0.185662 | + | 0.0545152i | 0.373242 | − | 0.927734i | \(-0.378246\pi\) |
−0.187580 | + | 0.982249i | \(0.560064\pi\) | |||||||
\(602\) | 3.45243 | + | 3.98432i | 0.140711 | + | 0.162389i | ||||
\(603\) | −0.186317 | + | 0.119739i | −0.00758743 | + | 0.00487615i | ||||
\(604\) | 13.4130 | − | 15.4794i | 0.545768 | − | 0.629850i | ||||
\(605\) | −1.50226 | + | 10.4485i | −0.0610757 | + | 0.424791i | ||||
\(606\) | −13.3853 | + | 3.93029i | −0.543742 | + | 0.159657i | ||||
\(607\) | 14.7705 | + | 9.49245i | 0.599518 | + | 0.385287i | 0.804913 | − | 0.593392i | \(-0.202212\pi\) |
−0.205396 | + | 0.978679i | \(0.565848\pi\) | |||||||
\(608\) | 0.215679 | + | 1.50008i | 0.00874695 | + | 0.0608364i | ||||
\(609\) | −1.24182 | − | 2.71920i | −0.0503210 | − | 0.110188i | ||||
\(610\) | 4.21535 | + | 9.23032i | 0.170674 | + | 0.373725i | ||||
\(611\) | 2.99869 | + | 20.8564i | 0.121314 | + | 0.843758i | ||||
\(612\) | 1.05521 | + | 0.678144i | 0.0426545 | + | 0.0274124i | ||||
\(613\) | 35.1406 | − | 10.3182i | 1.41932 | − | 0.416749i | 0.520044 | − | 0.854139i | \(-0.325915\pi\) |
0.899272 | + | 0.437391i | \(0.144097\pi\) | |||||||
\(614\) | 2.38022 | − | 16.5548i | 0.0960580 | − | 0.668098i | ||||
\(615\) | −6.01776 | + | 6.94486i | −0.242659 | + | 0.280044i | ||||
\(616\) | 2.47881 | − | 1.59303i | 0.0998740 | − | 0.0641851i | ||||
\(617\) | 4.38651 | + | 5.06230i | 0.176594 | + | 0.203800i | 0.837145 | − | 0.546980i | \(-0.184223\pi\) |
−0.660551 | + | 0.750781i | \(0.729677\pi\) | |||||||
\(618\) | −0.974944 | − | 0.286269i | −0.0392180 | − | 0.0115154i | ||||
\(619\) | 5.43286 | − | 11.8963i | 0.218365 | − | 0.478153i | −0.768469 | − | 0.639887i | \(-0.778981\pi\) |
0.986834 | + | 0.161734i | \(0.0517085\pi\) | |||||||
\(620\) | −4.52520 | −0.181736 | ||||||||
\(621\) | 3.91571 | + | 2.76898i | 0.157132 | + | 0.111115i | ||||
\(622\) | −31.0440 | −1.24475 | ||||||||
\(623\) | 0.748110 | − | 1.63813i | 0.0299724 | − | 0.0656304i | ||||
\(624\) | 3.91245 | + | 1.14880i | 0.156623 | + | 0.0459887i | ||||
\(625\) | −0.654861 | − | 0.755750i | −0.0261944 | − | 0.0302300i | ||||
\(626\) | −16.2299 | + | 10.4303i | −0.648676 | + | 0.416879i | ||||
\(627\) | 4.60777 | − | 5.31765i | 0.184016 | − | 0.212366i | ||||
\(628\) | 2.64055 | − | 18.3654i | 0.105369 | − | 0.732861i | ||||
\(629\) | −12.4275 | + | 3.64904i | −0.495517 | + | 0.145497i | ||||
\(630\) | −0.533899 | − | 0.343116i | −0.0212711 | − | 0.0136701i | ||||
\(631\) | 5.54580 | + | 38.5719i | 0.220775 | + | 1.53552i | 0.735118 | + | 0.677939i | \(0.237127\pi\) |
−0.514343 | + | 0.857584i | \(0.671964\pi\) | |||||||
\(632\) | −5.50968 | − | 12.0645i | −0.219163 | − | 0.479901i | ||||
\(633\) | −7.07973 | − | 15.5025i | −0.281394 | − | 0.616167i | ||||
\(634\) | −3.65423 | − | 25.4157i | −0.145128 | − | 1.00939i | ||||
\(635\) | 12.9222 | + | 8.30460i | 0.512803 | + | 0.329558i | ||||
\(636\) | −1.66782 | + | 0.489716i | −0.0661334 | + | 0.0194185i | ||||
\(637\) | 3.82841 | − | 26.6272i | 0.151687 | − | 1.05501i | ||||
\(638\) | −14.3210 | + | 16.5274i | −0.566976 | + | 0.654325i | ||||
\(639\) | 5.08658 | − | 3.26895i | 0.201222 | − | 0.129318i | ||||
\(640\) | −0.654861 | − | 0.755750i | −0.0258856 | − | 0.0298736i | ||||
\(641\) | 12.5748 | + | 3.69231i | 0.496676 | + | 0.145837i | 0.520471 | − | 0.853880i | \(-0.325757\pi\) |
−0.0237944 | + | 0.999717i | \(0.507575\pi\) | |||||||
\(642\) | 1.73052 | − | 3.78930i | 0.0682981 | − | 0.149552i | ||||
\(643\) | −47.2323 | −1.86266 | −0.931330 | − | 0.364177i | \(-0.881350\pi\) | ||||
−0.931330 | + | 0.364177i | \(0.881350\pi\) | |||||||
\(644\) | −2.09310 | + | 2.20971i | −0.0824799 | + | 0.0870746i | ||||
\(645\) | −8.30699 | −0.327088 | ||||||||
\(646\) | −0.789685 | + | 1.72917i | −0.0310697 | + | 0.0680332i | ||||
\(647\) | 8.13751 | + | 2.38939i | 0.319919 | + | 0.0939366i | 0.437749 | − | 0.899097i | \(-0.355776\pi\) |
−0.117831 | + | 0.993034i | \(0.537594\pi\) | |||||||
\(648\) | −0.654861 | − | 0.755750i | −0.0257254 | − | 0.0296886i | ||||
\(649\) | 3.09489 | − | 1.98896i | 0.121485 | − | 0.0780736i | ||||
\(650\) | −2.67027 | + | 3.08166i | −0.104737 | + | 0.120873i | ||||
\(651\) | 0.408715 | − | 2.84268i | 0.0160188 | − | 0.111413i | ||||
\(652\) | −16.9774 | + | 4.98501i | −0.664886 | + | 0.195228i | ||||
\(653\) | 29.2716 | + | 18.8117i | 1.14549 | + | 0.736159i | 0.968735 | − | 0.248096i | \(-0.0798050\pi\) |
0.176751 | + | 0.984256i | \(0.443441\pi\) | |||||||
\(654\) | 2.67062 | + | 18.5746i | 0.104430 | + | 0.726324i | ||||
\(655\) | −7.08263 | − | 15.5088i | −0.276741 | − | 0.605979i | ||||
\(656\) | −3.81740 | − | 8.35895i | −0.149045 | − | 0.326362i | ||||
\(657\) | 2.32052 | + | 16.1396i | 0.0905322 | + | 0.629666i | ||||
\(658\) | 2.75889 | + | 1.77303i | 0.107553 | + | 0.0691200i | ||||
\(659\) | 44.2875 | − | 13.0040i | 1.72520 | − | 0.506564i | 0.739223 | − | 0.673461i | \(-0.235193\pi\) |
0.985974 | + | 0.166898i | \(0.0533749\pi\) | |||||||
\(660\) | −0.660744 | + | 4.59558i | −0.0257194 | + | 0.178883i | ||||
\(661\) | −30.3754 | + | 35.0551i | −1.18147 | + | 1.36348i | −0.264566 | + | 0.964368i | \(0.585229\pi\) |
−0.916900 | + | 0.399117i | \(0.869317\pi\) | |||||||
\(662\) | −20.2940 | + | 13.0422i | −0.788750 | + | 0.506899i | ||||
\(663\) | 3.34941 | + | 3.86543i | 0.130080 | + | 0.150121i | ||||
\(664\) | −0.883269 | − | 0.259351i | −0.0342775 | − | 0.0100648i | ||||
\(665\) | 0.399552 | − | 0.874896i | 0.0154940 | − | 0.0339270i | ||||
\(666\) | 10.3259 | 0.400121 | ||||||||
\(667\) | 10.2849 | − | 20.1123i | 0.398235 | − | 0.778752i | ||||
\(668\) | −10.4145 | −0.402948 | ||||||||
\(669\) | 0.852642 | − | 1.86702i | 0.0329650 | − | 0.0721833i | ||||
\(670\) | 0.212505 | + | 0.0623970i | 0.00820977 | + | 0.00241061i | ||||
\(671\) | 30.8520 | + | 35.6051i | 1.19103 | + | 1.37452i | ||||
\(672\) | 0.533899 | − | 0.343116i | 0.0205956 | − | 0.0132360i | ||||
\(673\) | 25.0481 | − | 28.9070i | 0.965533 | − | 1.11428i | −0.0278705 | − | 0.999612i | \(-0.508873\pi\) |
0.993403 | − | 0.114673i | \(-0.0365819\pi\) | |||||||
\(674\) | −1.59315 | + | 11.0806i | −0.0613660 | + | 0.426810i | ||||
\(675\) | 0.959493 | − | 0.281733i | 0.0369309 | − | 0.0108439i | ||||
\(676\) | 3.05121 | + | 1.96089i | 0.117354 | + | 0.0754190i | ||||
\(677\) | 0.243339 | + | 1.69246i | 0.00935229 | + | 0.0650466i | 0.993963 | − | 0.109715i | \(-0.0349937\pi\) |
−0.984611 | + | 0.174761i | \(0.944085\pi\) | |||||||
\(678\) | 2.44726 | + | 5.35875i | 0.0939864 | + | 0.205801i | ||||
\(679\) | −1.79660 | − | 3.93400i | −0.0689471 | − | 0.150973i | ||||
\(680\) | −0.178510 | − | 1.24157i | −0.00684556 | − | 0.0476119i | ||||
\(681\) | −8.85937 | − | 5.69357i | −0.339492 | − | 0.218178i | ||||
\(682\) | −20.1587 | + | 5.91913i | −0.771917 | + | 0.226655i | ||||
\(683\) | −2.52837 | + | 17.5852i | −0.0967454 | + | 0.672879i | 0.882517 | + | 0.470281i | \(0.155848\pi\) |
−0.979262 | + | 0.202598i | \(0.935062\pi\) | |||||||
\(684\) | 0.992447 | − | 1.14534i | 0.0379472 | − | 0.0437933i | ||||
\(685\) | 4.64927 | − | 2.98790i | 0.177639 | − | 0.114162i | ||||
\(686\) | −5.65108 | − | 6.52170i | −0.215759 | − | 0.249000i | ||||
\(687\) | −12.9357 | − | 3.79827i | −0.493528 | − | 0.144913i | ||||
\(688\) | 3.45085 | − | 7.55631i | 0.131562 | − | 0.288081i | ||||
\(689\) | −7.08785 | −0.270025 | ||||||||
\(690\) | −0.471588 | − | 4.77259i | −0.0179530 | − | 0.181689i | ||||
\(691\) | −5.60823 | −0.213347 | −0.106674 | − | 0.994294i | \(-0.534020\pi\) | ||||
−0.106674 | + | 0.994294i | \(0.534020\pi\) | |||||||
\(692\) | 6.13672 | − | 13.4375i | 0.233283 | − | 0.510819i | ||||
\(693\) | −2.82721 | − | 0.830143i | −0.107397 | − | 0.0315345i | ||||
\(694\) | 6.00061 | + | 6.92507i | 0.227780 | + | 0.262872i | ||||
\(695\) | 0.349658 | − | 0.224711i | 0.0132633 | − | 0.00852379i | ||||
\(696\) | −3.08455 | + | 3.55976i | −0.116920 | + | 0.134932i | ||||
\(697\) | 1.64040 | − | 11.4092i | 0.0621345 | − | 0.432155i | ||||
\(698\) | 2.49071 | − | 0.731338i | 0.0942747 | − | 0.0276816i | ||||
\(699\) | 17.3883 | + | 11.1748i | 0.657685 | + | 0.422669i | ||||
\(700\) | 0.0903198 | + | 0.628188i | 0.00341377 | + | 0.0237433i | ||||
\(701\) | 3.23513 | + | 7.08395i | 0.122189 | + | 0.267557i | 0.960836 | − | 0.277119i | \(-0.0893797\pi\) |
−0.838646 | + | 0.544676i | \(0.816652\pi\) | |||||||
\(702\) | −1.69390 | − | 3.70913i | −0.0639323 | − | 0.139992i | ||||
\(703\) | 2.22709 | + | 15.4897i | 0.0839961 | + | 0.584206i | ||||
\(704\) | −3.90580 | − | 2.51011i | −0.147205 | − | 0.0946032i | ||||
\(705\) | −4.95812 | + | 1.45583i | −0.186734 | + | 0.0548299i | ||||
\(706\) | 0.00633719 | − | 0.0440761i | 0.000238503 | − | 0.00165883i | ||||
\(707\) | −5.79788 | + | 6.69111i | −0.218052 | + | 0.251645i | ||||
\(708\) | 0.666594 | − | 0.428394i | 0.0250521 | − | 0.0161000i | ||||
\(709\) | −0.982644 | − | 1.13403i | −0.0369040 | − | 0.0425895i | 0.736998 | − | 0.675895i | \(-0.236243\pi\) |
−0.773901 | + | 0.633306i | \(0.781697\pi\) | |||||||
\(710\) | −5.80151 | − | 1.70348i | −0.217727 | − | 0.0639303i | ||||
\(711\) | −5.50968 | + | 12.0645i | −0.206629 | + | 0.452455i | ||||
\(712\) | −2.83760 | −0.106343 | ||||||||
\(713\) | 18.7587 | − | 10.9129i | 0.702520 | − | 0.408690i | ||||
\(714\) | 0.796060 | 0.0297918 | ||||||||
\(715\) | −7.86452 | + | 17.2209i | −0.294116 | + | 0.644025i | ||||
\(716\) | 8.89439 | + | 2.61163i | 0.332399 | + | 0.0976012i | ||||
\(717\) | −15.5228 | − | 17.9143i | −0.579710 | − | 0.669021i | ||||
\(718\) | −12.2268 | + | 7.85768i | −0.456300 | + | 0.293246i | ||||
\(719\) | −34.7050 | + | 40.0517i | −1.29428 | + | 1.49368i | −0.531427 | + | 0.847104i | \(0.678344\pi\) |
−0.762852 | + | 0.646574i | \(0.776201\pi\) | |||||||
\(720\) | −0.142315 | + | 0.989821i | −0.00530376 | + | 0.0368885i | ||||
\(721\) | −0.618746 | + | 0.181680i | −0.0230433 | + | 0.00676612i | ||||
\(722\) | −14.0517 | − | 9.03045i | −0.522948 | − | 0.336079i | ||||
\(723\) | −3.70724 | − | 25.7844i | −0.137874 | − | 0.958932i | ||||
\(724\) | −0.976464 | − | 2.13816i | −0.0362900 | − | 0.0794640i | ||||
\(725\) | −1.95670 | − | 4.28458i | −0.0726701 | − | 0.159125i | ||||
\(726\) | 1.50226 | + | 10.4485i | 0.0557542 | + | 0.387779i | ||||
\(727\) | 17.1945 | + | 11.0502i | 0.637708 | + | 0.409830i | 0.819156 | − | 0.573570i | \(-0.194442\pi\) |
−0.181448 | + | 0.983400i | \(0.558078\pi\) | |||||||
\(728\) | 2.48303 | − | 0.729082i | 0.0920270 | − | 0.0270216i | ||||
\(729\) | −0.142315 | + | 0.989821i | −0.00527092 | + | 0.0366601i | ||||
\(730\) | 10.6779 | − | 12.3229i | 0.395206 | − | 0.456092i | ||||
\(731\) | 8.76565 | − | 5.63334i | 0.324209 | − | 0.208357i | ||||
\(732\) | 6.64508 | + | 7.66883i | 0.245609 | + | 0.283448i | ||||
\(733\) | −22.9686 | − | 6.74420i | −0.848366 | − | 0.249103i | −0.171477 | − | 0.985188i | \(-0.554854\pi\) |
−0.676889 | + | 0.736085i | \(0.736672\pi\) | |||||||
\(734\) | −5.03883 | + | 11.0335i | −0.185987 | + | 0.407254i | ||||
\(735\) | 6.59722 | 0.243342 | ||||||||
\(736\) | 4.53720 | + | 1.55363i | 0.167244 | + | 0.0572677i | ||||
\(737\) | 1.02828 | 0.0378770 | ||||||||
\(738\) | −3.81740 | + | 8.35895i | −0.140521 | + | 0.307697i | ||||
\(739\) | −3.24418 | − | 0.952577i | −0.119339 | − | 0.0350411i | 0.221518 | − | 0.975156i | \(-0.428899\pi\) |
−0.340857 | + | 0.940115i | \(0.610717\pi\) | |||||||
\(740\) | −6.76204 | − | 7.80381i | −0.248577 | − | 0.286874i | ||||
\(741\) | 5.19867 | − | 3.34098i | 0.190978 | − | 0.122734i | ||||
\(742\) | −0.722419 | + | 0.833716i | −0.0265208 | + | 0.0306067i | ||||
\(743\) | 0.431420 | − | 3.00059i | 0.0158272 | − | 0.110081i | −0.980376 | − | 0.197135i | \(-0.936836\pi\) |
0.996204 | + | 0.0870542i | \(0.0277453\pi\) | |||||||
\(744\) | −4.34190 | + | 1.27490i | −0.159182 | + | 0.0467400i | ||||
\(745\) | 4.38067 | + | 2.81529i | 0.160495 | + | 0.103144i | ||||
\(746\) | 1.64035 | + | 11.4089i | 0.0600575 | + | 0.417709i | ||||
\(747\) | 0.382414 | + | 0.837369i | 0.0139918 | + | 0.0306377i | ||||
\(748\) | −2.41924 | − | 5.29739i | −0.0884561 | − | 0.193692i | ||||
\(749\) | −0.376250 | − | 2.61688i | −0.0137479 | − | 0.0956186i | ||||
\(750\) | −0.841254 | − | 0.540641i | −0.0307182 | − | 0.0197414i | ||||
\(751\) | −14.4623 | + | 4.24650i | −0.527735 | + | 0.154957i | −0.534737 | − | 0.845018i | \(-0.679589\pi\) |
0.00700200 | + | 0.999975i | \(0.497771\pi\) | |||||||
\(752\) | 0.735403 | − | 5.11484i | 0.0268174 | − | 0.186519i | ||||
\(753\) | −1.81145 | + | 2.09052i | −0.0660128 | + | 0.0761828i | ||||
\(754\) | −16.1576 | + | 10.3838i | −0.588424 | + | 0.378157i | ||||
\(755\) | 13.4130 | + | 15.4794i | 0.488150 | + | 0.563355i | ||||
\(756\) | −0.608940 | − | 0.178801i | −0.0221469 | − | 0.00650292i | ||||
\(757\) | 8.64045 | − | 18.9199i | 0.314042 | − | 0.687657i | −0.685126 | − | 0.728424i | \(-0.740253\pi\) |
0.999169 | + | 0.0407675i | \(0.0129803\pi\) | |||||||
\(758\) | −21.0990 | −0.766351 | ||||||||
\(759\) | −8.34354 | − | 20.6439i | −0.302851 | − | 0.749327i | ||||
\(760\) | −1.51551 | −0.0549733 | ||||||||
\(761\) | 16.1754 | − | 35.4192i | 0.586358 | − | 1.28394i | −0.351260 | − | 0.936278i | \(-0.614247\pi\) |
0.937618 | − | 0.347667i | \(-0.113026\pi\) | |||||||
\(762\) | 14.7385 | + | 4.32760i | 0.533918 | + | 0.156772i | ||||
\(763\) | 7.79909 | + | 9.00063i | 0.282346 | + | 0.325845i | ||||
\(764\) | −13.0543 | + | 8.38946i | −0.472286 | + | 0.303520i | ||||
\(765\) | −0.821414 | + | 0.947963i | −0.0296983 | + | 0.0342737i | ||||
\(766\) | −2.68730 | + | 18.6906i | −0.0970960 | + | 0.675318i | ||||
\(767\) | 3.10015 | − | 0.910287i | 0.111940 | − | 0.0328686i | ||||
\(768\) | −0.841254 | − | 0.540641i | −0.0303561 | − | 0.0195087i | ||||
\(769\) | 7.10462 | + | 49.4137i | 0.256199 | + | 1.78190i | 0.559321 | + | 0.828951i | \(0.311062\pi\) |
−0.303122 | + | 0.952952i | \(0.598029\pi\) | |||||||
\(770\) | 1.22405 | + | 2.68029i | 0.0441116 | + | 0.0965909i | ||||
\(771\) | 2.24741 | + | 4.92114i | 0.0809385 | + | 0.177231i | ||||
\(772\) | −2.08054 | − | 14.4705i | −0.0748802 | − | 0.520803i | ||||
\(773\) | 26.5063 | + | 17.0346i | 0.953365 | + | 0.612690i | 0.922154 | − | 0.386822i | \(-0.126427\pi\) |
0.0312107 | + | 0.999513i | \(0.490064\pi\) | |||||||
\(774\) | −7.97050 | + | 2.34035i | −0.286494 | + | 0.0841222i | ||||
\(775\) | 0.644003 | − | 4.47914i | 0.0231333 | − | 0.160895i | ||||
\(776\) | −4.46257 | + | 5.15008i | −0.160197 | + | 0.184877i | ||||
\(777\) | 5.51300 | − | 3.54299i | 0.197778 | − | 0.127104i | ||||
\(778\) | −8.40979 | − | 9.70541i | −0.301506 | − | 0.347956i | ||||
\(779\) | −13.3624 | − | 3.92357i | −0.478759 | − | 0.140576i | ||||
\(780\) | −1.69390 | + | 3.70913i | −0.0606515 | + | 0.132808i | ||||
\(781\) | −28.0726 | −1.00452 | ||||||||
\(782\) | 3.73413 | + | 4.71629i | 0.133532 | + | 0.168654i | ||||
\(783\) | 4.71024 | 0.168330 | ||||||||
\(784\) | −2.74059 | + | 6.00104i | −0.0978780 | + | 0.214323i | ||||
\(785\) | 17.8027 | + | 5.22735i | 0.635406 | + | 0.186572i | ||||
\(786\) | −11.1651 | − | 12.8852i | −0.398245 | − | 0.459599i | ||||
\(787\) | −41.0166 | + | 26.3598i | −1.46209 | + | 0.939625i | −0.463520 | + | 0.886087i | \(0.653414\pi\) |
−0.998566 | + | 0.0535385i | \(0.982950\pi\) | |||||||
\(788\) | 6.47275 | − | 7.46995i | 0.230582 | − | 0.266106i | ||||
\(789\) | 0.702621 | − | 4.88684i | 0.0250140 | − | 0.173976i | ||||
\(790\) | 12.7258 | − | 3.73664i | 0.452765 | − | 0.132944i | ||||
\(791\) | 3.14526 | + | 2.02134i | 0.111833 | + | 0.0718705i | ||||
\(792\) | 0.660744 | + | 4.59558i | 0.0234785 | + | 0.163297i | ||||
\(793\) | 17.1886 | + | 37.6377i | 0.610384 | + | 1.33656i | ||||
\(794\) | −11.1429 | − | 24.3996i | −0.395447 | − | 0.865909i | ||||
\(795\) | −0.247376 | − | 1.72054i | −0.00877353 | − | 0.0610212i | ||||
\(796\) | 0.572563 | + | 0.367964i | 0.0202939 | + | 0.0130421i | ||||
\(797\) | 12.7486 | − | 3.74332i | 0.451578 | − | 0.132595i | −0.0480321 | − | 0.998846i | \(-0.515295\pi\) |
0.499610 | + | 0.866251i | \(0.333477\pi\) | |||||||
\(798\) | 0.136880 | − | 0.952024i | 0.00484551 | − | 0.0337013i | ||||
\(799\) | 4.24461 | − | 4.89854i | 0.150163 | − | 0.173298i | ||||
\(800\) | 0.841254 | − | 0.540641i | 0.0297428 | − | 0.0191145i | ||||
\(801\) | 1.85823 | + | 2.14451i | 0.0656574 | + | 0.0757726i | ||||
\(802\) | 0.926128 | + | 0.271936i | 0.0327027 | + | 0.00960238i | ||||
\(803\) | 31.4486 | − | 68.8628i | 1.10980 | − | 2.43012i | ||||
\(804\) | 0.221476 | 0.00781085 | ||||||||
\(805\) | −1.88933 | − | 2.38627i | −0.0665903 | − | 0.0841051i | ||||
\(806\) | −18.4520 | −0.649946 | ||||||||
\(807\) | −2.85199 | + | 6.24499i | −0.100395 | + | 0.219834i | ||||
\(808\) | 13.3853 | + | 3.93029i | 0.470895 | + | 0.138267i | ||||
\(809\) | 8.94747 | + | 10.3259i | 0.314576 | + | 0.363040i | 0.890915 | − | 0.454171i | \(-0.150064\pi\) |
−0.576338 | + | 0.817211i | \(0.695519\pi\) | |||||||
\(810\) | 0.841254 | − | 0.540641i | 0.0295586 | − | 0.0189962i | ||||
\(811\) | −23.6610 | + | 27.3063i | −0.830852 | + | 0.958854i | −0.999641 | − | 0.0267982i | \(-0.991469\pi\) |
0.168789 | + | 0.985652i | \(0.446014\pi\) | |||||||
\(812\) | −0.425427 | + | 2.95891i | −0.0149296 | + | 0.103837i | ||||
\(813\) | 3.99314 | − | 1.17249i | 0.140046 | − | 0.0411211i | ||||
\(814\) | −40.3310 | − | 25.9191i | −1.41360 | − | 0.908465i | ||||
\(815\) | −2.51814 | − | 17.5140i | −0.0882065 | − | 0.613490i | ||||
\(816\) | −0.521069 | − | 1.14098i | −0.0182411 | − | 0.0399424i | ||||
\(817\) | −5.22979 | − | 11.4516i | −0.182967 | − | 0.400642i | ||||
\(818\) | −2.54314 | − | 17.6879i | −0.0889187 | − | 0.618443i | ||||
\(819\) | −2.17704 | − | 1.39910i | −0.0760719 | − | 0.0488884i | ||||
\(820\) | 8.81714 | − | 2.58895i | 0.307908 | − | 0.0904099i | ||||
\(821\) | 4.33056 | − | 30.1197i | 0.151138 | − | 1.05119i | −0.763179 | − | 0.646187i | \(-0.776363\pi\) |
0.914317 | − | 0.404999i | \(-0.132728\pi\) | |||||||
\(822\) | 3.61915 | − | 4.17672i | 0.126232 | − | 0.145680i | ||||
\(823\) | 23.2186 | − | 14.9217i | 0.809348 | − | 0.520137i | −0.0693057 | − | 0.997595i | \(-0.522078\pi\) |
0.878654 | + | 0.477459i | \(0.158442\pi\) | |||||||
\(824\) | 0.665406 | + | 0.767920i | 0.0231805 | + | 0.0267518i | ||||
\(825\) | −4.45477 | − | 1.30804i | −0.155095 | − | 0.0455400i | ||||
\(826\) | 0.208905 | − | 0.457439i | 0.00726874 | − | 0.0159163i | ||||
\(827\) | −20.1298 | −0.699981 | −0.349991 | − | 0.936753i | \(-0.613815\pi\) | ||||
−0.349991 | + | 0.936753i | \(0.613815\pi\) | |||||||
\(828\) | −1.79708 | − | 4.44640i | −0.0624528 | − | 0.154523i | ||||
\(829\) | −46.8228 | −1.62622 | −0.813112 | − | 0.582107i | \(-0.802229\pi\) | ||||
−0.813112 | + | 0.582107i | \(0.802229\pi\) | |||||||
\(830\) | 0.382414 | − | 0.837369i | 0.0132738 | − | 0.0290655i | ||||
\(831\) | 22.8101 | + | 6.69765i | 0.791274 | + | 0.232339i | ||||
\(832\) | −2.67027 | − | 3.08166i | −0.0925751 | − | 0.106837i | ||||
\(833\) | −6.96148 | + | 4.47387i | −0.241201 | + | 0.155010i | ||||
\(834\) | 0.272186 | − | 0.314119i | 0.00942502 | − | 0.0108770i | ||||
\(835\) | 1.48213 | − | 10.3085i | 0.0512914 | − | 0.356739i | ||||
\(836\) | −6.75124 | + | 1.98234i | −0.233496 | + | 0.0685607i | ||||
\(837\) | 3.80684 | + | 2.44651i | 0.131584 | + | 0.0845637i | ||||
\(838\) | 0.415869 | + | 2.89243i | 0.0143659 | + | 0.0999173i | ||||
\(839\) | 16.0164 | + | 35.0709i | 0.552946 | + | 1.21078i | 0.955392 | + | 0.295339i | \(0.0954327\pi\) |
−0.402447 | + | 0.915443i | \(0.631840\pi\) | |||||||
\(840\) | 0.263642 | + | 0.577296i | 0.00909652 | + | 0.0199186i | ||||
\(841\) | 0.969687 | + | 6.74432i | 0.0334375 | + | 0.232563i | ||||
\(842\) | −1.16445 | − | 0.748347i | −0.0401296 | − | 0.0257897i | ||||
\(843\) | −12.5821 | + | 3.69444i | −0.433351 | + | 0.127243i | ||||
\(844\) | −2.42541 | + | 16.8691i | −0.0834860 | + | 0.580658i | ||||
\(845\) | −2.37517 | + | 2.74109i | −0.0817082 | + | 0.0942963i | ||||
\(846\) | −4.34712 | + | 2.79373i | −0.149457 | + | 0.0960503i | ||||
\(847\) | 4.38710 | + | 5.06298i | 0.150742 | + | 0.173966i | ||||
\(848\) | 1.66782 | + | 0.489716i | 0.0572732 | + | 0.0168169i | ||||
\(849\) | −1.68933 | + | 3.69911i | −0.0579776 | + | 0.126953i | ||||
\(850\) | 1.25433 | 0.0430233 | ||||||||
\(851\) | 46.8508 | + | 16.0427i | 1.60602 | + | 0.549936i | ||||
\(852\) | −6.04643 | −0.207147 | ||||||||
\(853\) | −8.95331 | + | 19.6050i | −0.306556 | + | 0.671263i | −0.998726 | − | 0.0504714i | \(-0.983928\pi\) |
0.692170 | + | 0.721735i | \(0.256655\pi\) | |||||||
\(854\) | 6.17910 | + | 1.81435i | 0.211445 | + | 0.0620857i | ||||
\(855\) | 0.992447 | + | 1.14534i | 0.0339410 | + | 0.0391700i | ||||
\(856\) | −3.50446 | + | 2.25218i | −0.119780 | + | 0.0769778i | ||||
\(857\) | −15.9708 | + | 18.4312i | −0.545550 | + | 0.629599i | −0.959841 | − | 0.280546i | \(-0.909484\pi\) |
0.414290 | + | 0.910145i | \(0.364030\pi\) | |||||||
\(858\) | −2.69426 | + | 18.7390i | −0.0919806 | + | 0.639739i | ||||
\(859\) | 7.47010 | − | 2.19342i | 0.254877 | − | 0.0748385i | −0.151798 | − | 0.988412i | \(-0.548506\pi\) |
0.406675 | + | 0.913573i | \(0.366688\pi\) | |||||||
\(860\) | 6.98829 | + | 4.49110i | 0.238299 | + | 0.153145i | ||||
\(861\) | 0.829982 | + | 5.77265i | 0.0282857 | + | 0.196731i | ||||
\(862\) | 12.2209 | + | 26.7601i | 0.416246 | + | 0.911452i | ||||
\(863\) | −4.49301 | − | 9.83831i | −0.152944 | − | 0.334900i | 0.817615 | − | 0.575766i | \(-0.195296\pi\) |
−0.970558 | + | 0.240866i | \(0.922569\pi\) | |||||||
\(864\) | 0.142315 | + | 0.989821i | 0.00484165 | + | 0.0336744i | ||||
\(865\) | 12.4274 | + | 7.98662i | 0.422545 | + | 0.271553i | ||||
\(866\) | −13.2626 | + | 3.89425i | −0.450681 | + | 0.132332i | ||||
\(867\) | −2.19544 | + | 15.2696i | −0.0745611 | + | 0.518584i | ||||
\(868\) | −1.88070 | + | 2.17044i | −0.0638351 | + | 0.0736696i | ||||
\(869\) | 51.8029 | − | 33.2917i | 1.75729 | − | 1.12934i | ||||
\(870\) | −3.08455 | − | 3.55976i | −0.104576 | − | 0.120687i | ||||
\(871\) | 0.866513 | + | 0.254431i | 0.0293607 | + | 0.00862107i | ||||
\(872\) | 7.79551 | − | 17.0698i | 0.263989 | − | 0.578056i | ||||
\(873\) | 6.81453 | 0.230637 | ||||||||
\(874\) | 6.28238 | − | 3.65476i | 0.212505 | − | 0.123624i | ||||
\(875\) | −0.634648 | −0.0214550 | ||||||||
\(876\) | 6.77358 | − | 14.8321i | 0.228858 | − | 0.501129i | ||||
\(877\) | −27.4129 | − | 8.04915i | −0.925668 | − | 0.271801i | −0.216046 | − | 0.976383i | \(-0.569316\pi\) |
−0.709622 | + | 0.704583i | \(0.751134\pi\) | |||||||
\(878\) | 4.69228 | + | 5.41519i | 0.158357 | + | 0.182754i | ||||
\(879\) | −24.8958 | + | 15.9996i | −0.839716 | + | 0.539653i | ||||
\(880\) | 3.04041 | − | 3.50882i | 0.102492 | − | 0.118282i | ||||
\(881\) | −1.84317 | + | 12.8195i | −0.0620980 | + | 0.431901i | 0.934928 | + | 0.354837i | \(0.115464\pi\) |
−0.997026 | + | 0.0770641i | \(0.975445\pi\) | |||||||
\(882\) | 6.32999 | − | 1.85865i | 0.213142 | − | 0.0625841i | ||||
\(883\) | −6.40418 | − | 4.11572i | −0.215518 | − | 0.138505i | 0.428428 | − | 0.903576i | \(-0.359067\pi\) |
−0.643946 | + | 0.765071i | \(0.722704\pi\) | |||||||
\(884\) | −0.727897 | − | 5.06264i | −0.0244818 | − | 0.170275i | ||||
\(885\) | 0.329167 | + | 0.720776i | 0.0110648 | + | 0.0242286i | ||||
\(886\) | 0.485236 | + | 1.06252i | 0.0163018 | + | 0.0356960i | ||||
\(887\) | 1.83673 | + | 12.7747i | 0.0616714 | + | 0.428934i | 0.997143 | + | 0.0755328i | \(0.0240658\pi\) |
−0.935472 | + | 0.353401i | \(0.885025\pi\) | |||||||
\(888\) | −8.68671 | − | 5.58261i | −0.291507 | − | 0.187340i | ||||
\(889\) | 9.35372 | − | 2.74650i | 0.313714 | − | 0.0921147i | ||||
\(890\) | 0.403832 | − | 2.80871i | 0.0135365 | − | 0.0941483i | ||||
\(891\) | 3.04041 | − | 3.50882i | 0.101858 | − | 0.117550i | ||||
\(892\) | −1.72668 | + | 1.10967i | −0.0578134 | + | 0.0371544i | ||||
\(893\) | −5.12840 | − | 5.91849i | −0.171616 | − | 0.198055i | ||||
\(894\) | 4.99638 | + | 1.46707i | 0.167104 | + | 0.0490661i | ||||
\(895\) | −3.85085 | + | 8.43219i | −0.128720 | + | 0.281857i | ||||
\(896\) | −0.634648 | −0.0212021 | ||||||||
\(897\) | −1.92296 | − | 19.4608i | −0.0642056 | − | 0.649777i | ||||
\(898\) | 31.3391 | 1.04580 | ||||||||
\(899\) | 8.85447 | − | 19.3886i | 0.295313 | − | 0.646646i | ||||
\(900\) | −0.959493 | − | 0.281733i | −0.0319831 | − | 0.00939109i | ||||
\(901\) | 1.42781 | + | 1.64778i | 0.0475672 | + | 0.0548955i | ||||
\(902\) | 35.8919 | − | 23.0663i | 1.19507 | − | 0.768024i | ||||
\(903\) | −3.45243 | + | 3.98432i | −0.114890 | + | 0.132590i | ||||
\(904\) | 0.838393 | − | 5.83115i | 0.0278845 | − | 0.193941i | ||||
\(905\) | 2.25536 | − | 0.662234i | 0.0749707 | − | 0.0220134i | ||||
\(906\) | 17.2308 | + | 11.0735i | 0.572453 | + | 0.367894i | ||||
\(907\) | 6.39350 | + | 44.4677i | 0.212293 | + | 1.47653i | 0.765474 | + | 0.643467i | \(0.222504\pi\) |
−0.553182 | + | 0.833061i | \(0.686586\pi\) | |||||||
\(908\) | 4.37480 | + | 9.57947i | 0.145183 | + | 0.317906i | ||||
\(909\) | −5.79522 | − | 12.6898i | −0.192215 | − | 0.420893i | ||||
\(910\) | 0.368290 | + | 2.56151i | 0.0122087 | + | 0.0849133i | ||||
\(911\) | 35.3873 | + | 22.7420i | 1.17243 | + | 0.753478i | 0.973980 | − | 0.226633i | \(-0.0727717\pi\) |
0.198454 | + | 0.980110i | \(0.436408\pi\) | |||||||
\(912\) | −1.45412 | + | 0.426968i | −0.0481507 | + | 0.0141383i | ||||
\(913\) | 0.608253 | − | 4.23049i | 0.0201302 | − | 0.140009i | ||||
\(914\) | −14.9618 | + | 17.2669i | −0.494894 | + | 0.571138i | ||||
\(915\) | −8.53646 | + | 5.48605i | −0.282207 | + | 0.181363i | ||||
\(916\) | 8.82871 | + | 10.1889i | 0.291709 | + | 0.336650i | ||||
\(917\) | −10.3821 | − | 3.04847i | −0.342848 | − | 0.100669i | ||||
\(918\) | −0.521069 | + | 1.14098i | −0.0171978 | + | 0.0376580i | ||||
\(919\) | 24.2486 | 0.799889 | 0.399944 | − | 0.916539i | \(-0.369029\pi\) | ||||
0.399944 | + | 0.916539i | \(0.369029\pi\) | |||||||
\(920\) | −2.18353 | + | 4.26992i | −0.0719889 | + | 0.140775i | ||||
\(921\) | 16.7251 | 0.551109 | ||||||||
\(922\) | 3.41521 | − | 7.47826i | 0.112474 | − | 0.246283i | ||||
\(923\) | −23.6563 | − | 6.94613i | −0.778658 | − | 0.228635i | ||||
\(924\) | 1.92959 | + | 2.22686i | 0.0634788 | + | 0.0732584i | ||||
\(925\) | 8.68671 | − | 5.58261i | 0.285617 | − | 0.183555i | ||||
\(926\) | 2.30329 | − | 2.65814i | 0.0756907 | − | 0.0873518i | ||||
\(927\) | 0.144607 | − | 1.00576i | 0.00474950 | − | 0.0330335i | ||||
\(928\) | 4.51944 | − | 1.32703i | 0.148358 | − | 0.0435618i | ||||
\(929\) | −44.9260 | − | 28.8722i | −1.47397 | − | 0.947266i | −0.997687 | − | 0.0679760i | \(-0.978346\pi\) |
−0.476287 | − | 0.879290i | \(-0.658018\pi\) | |||||||
\(930\) | −0.644003 | − | 4.47914i | −0.0211177 | − | 0.146877i | ||||
\(931\) | 4.15338 | + | 9.09463i | 0.136122 | + | 0.298065i | ||||
\(932\) | −8.58642 | − | 18.8016i | −0.281257 | − | 0.615868i | ||||
\(933\) | −4.41803 | − | 30.7281i | −0.144640 | − | 1.00599i | ||||
\(934\) | −17.2668 | − | 11.0967i | −0.564986 | − | 0.363094i | ||||
\(935\) | 5.58777 | − | 1.64072i | 0.182740 | − | 0.0536572i | ||||
\(936\) | −0.580306 | + | 4.03612i | −0.0189679 | + | 0.131925i | ||||
\(937\) | −16.7448 | + | 19.3245i | −0.547028 | + | 0.631304i | −0.960188 | − | 0.279355i | \(-0.909879\pi\) |
0.413160 | + | 0.910658i | \(0.364425\pi\) | |||||||
\(938\) | 0.118246 | − | 0.0759920i | 0.00386087 | − | 0.00248123i | ||||
\(939\) | −12.6339 | − | 14.5803i | −0.412291 | − | 0.475810i | ||||
\(940\) | 4.95812 | + | 1.45583i | 0.161716 | + | 0.0474841i | ||||
\(941\) | 3.15179 | − | 6.90145i | 0.102745 | − | 0.224981i | −0.851277 | − | 0.524717i | \(-0.824171\pi\) |
0.954022 | + | 0.299736i | \(0.0968985\pi\) | |||||||
\(942\) | 18.5543 | 0.604532 | ||||||||
\(943\) | −30.3071 | + | 31.9954i | −0.986934 | + | 1.04191i | ||||
\(944\) | −0.792382 | −0.0257898 | ||||||||
\(945\) | 0.263642 | − | 0.577296i | 0.00857628 | − | 0.0187794i | ||||
\(946\) | 37.0057 | + | 10.8659i | 1.20316 | + | 0.353280i | ||||
\(947\) | 24.0807 | + | 27.7907i | 0.782519 | + | 0.903075i | 0.997289 | − | 0.0735895i | \(-0.0234455\pi\) |
−0.214769 | + | 0.976665i | \(0.568900\pi\) | |||||||
\(948\) | 11.1576 | − | 7.17056i | 0.362382 | − | 0.232889i | ||||
\(949\) | 43.5403 | − | 50.2482i | 1.41338 | − | 1.63113i | ||||
\(950\) | 0.215679 | − | 1.50008i | 0.00699756 | − | 0.0486691i | ||||
\(951\) | 24.6370 | − | 7.23408i | 0.798909 | − | 0.234581i | ||||
\(952\) | −0.669688 | − | 0.430383i | −0.0217047 | − | 0.0139488i | ||||
\(953\) | −6.20970 | − | 43.1894i | −0.201152 | − | 1.39904i | −0.800873 | − | 0.598834i | \(-0.795631\pi\) |
0.599721 | − | 0.800209i | \(-0.295278\pi\) | |||||||
\(954\) | −0.722088 | − | 1.58115i | −0.0233784 | − | 0.0511917i | ||||
\(955\) | −6.44625 | − | 14.1153i | −0.208596 | − | 0.456761i | ||||
\(956\) | 3.37343 | + | 23.4627i | 0.109104 | + | 0.758838i | ||||
\(957\) | −18.3972 | − | 11.8232i | −0.594698 | − | 0.382189i | ||||
\(958\) | 27.5492 | − | 8.08918i | 0.890075 | − | 0.261349i | ||||
\(959\) | 0.499161 | − | 3.47174i | 0.0161187 | − | 0.112108i | ||||
\(960\) | 0.654861 | − | 0.755750i | 0.0211355 | − | 0.0243917i | ||||
\(961\) | −8.85214 | + | 5.68893i | −0.285553 | + | 0.183514i | ||||
\(962\) | −27.5730 | − | 31.8209i | −0.888989 | − | 1.02595i | ||||
\(963\) | 3.99701 | + | 1.17363i | 0.128802 | + | 0.0378197i | ||||
\(964\) | −10.8214 | + | 23.6955i | −0.348533 | + | 0.763180i | ||||
\(965\) | 14.6193 | 0.470611 | ||||||||
\(966\) | −2.48509 | − | 1.75733i | −0.0799566 | − | 0.0565410i | ||||
\(967\) | −32.1585 | −1.03415 | −0.517074 | − | 0.855941i | \(-0.672979\pi\) | ||||
−0.517074 | + | 0.855941i | \(0.672979\pi\) | |||||||
\(968\) | 4.38508 | − | 9.60199i | 0.140942 | − | 0.308620i | ||||
\(969\) | −1.82395 | − | 0.535561i | −0.0585938 | − | 0.0172047i | ||||
\(970\) | −4.46257 | − | 5.15008i | −0.143285 | − | 0.165359i | ||||
\(971\) | 41.7837 | − | 26.8527i | 1.34090 | − | 0.861745i | 0.343891 | − | 0.939010i | \(-0.388255\pi\) |
0.997011 | + | 0.0772647i | \(0.0246187\pi\) | |||||||
\(972\) | 0.654861 | − | 0.755750i | 0.0210047 | − | 0.0242407i | ||||
\(973\) | 0.0375404 | − | 0.261099i | 0.00120349 | − | 0.00837046i | ||||
\(974\) | −17.6236 | + | 5.17475i | −0.564696 | + | 0.165810i | ||||
\(975\) | −3.43031 | − | 2.20453i | −0.109858 | − | 0.0706014i | ||||
\(976\) | −1.44411 | − | 10.0440i | −0.0462249 | − | 0.321502i | ||||
\(977\) | −18.2997 | − | 40.0708i | −0.585459 | − | 1.28198i | −0.938147 | − | 0.346236i | \(-0.887460\pi\) |
0.352688 | − | 0.935741i | \(-0.385268\pi\) | |||||||
\(978\) | −7.35041 | − | 16.0952i | −0.235040 | − | 0.514666i | ||||
\(979\) | −1.87493 | − | 13.0404i | −0.0599229 | − | 0.416773i | ||||
\(980\) | −5.54994 | − | 3.56673i | −0.177286 | − | 0.113935i | ||||
\(981\) | −18.0055 | + | 5.28688i | −0.574870 | + | 0.168797i | ||||
\(982\) | 3.65063 | − | 25.3907i | 0.116496 | − | 0.810249i | ||||
\(983\) | −4.33330 | + | 5.00089i | −0.138211 | + | 0.159504i | −0.820635 | − | 0.571452i | \(-0.806380\pi\) |
0.682424 | + | 0.730956i | \(0.260926\pi\) | |||||||
\(984\) | 7.73059 | − | 4.96815i | 0.246442 | − | 0.158379i | ||||
\(985\) | 6.47275 | + | 7.46995i | 0.206239 | + | 0.238012i | ||||
\(986\) | 5.66889 | + | 1.66454i | 0.180534 | + | 0.0530096i | ||||
\(987\) | −1.36235 | + | 2.98314i | −0.0433642 | + | 0.0949543i | ||||
\(988\) | −6.17967 | −0.196601 | ||||||||
\(989\) | −39.7998 | − | 1.76459i | −1.26556 | − | 0.0561107i | ||||
\(990\) | −4.64283 | −0.147559 | ||||||||
\(991\) | 2.94513 | − | 6.44893i | 0.0935550 | − | 0.204857i | −0.857069 | − | 0.515201i | \(-0.827717\pi\) |
0.950624 | + | 0.310344i | \(0.100444\pi\) | |||||||
\(992\) | 4.34190 | + | 1.27490i | 0.137855 | + | 0.0404780i | ||||
\(993\) | −15.7976 | − | 18.2314i | −0.501321 | − | 0.578555i | ||||
\(994\) | −3.22819 | + | 2.07463i | −0.102392 | + | 0.0658032i | ||||
\(995\) | −0.445702 | + | 0.514368i | −0.0141297 | + | 0.0163066i | ||||
\(996\) | 0.131009 | − | 0.911188i | 0.00415118 | − | 0.0288721i | ||||
\(997\) | −45.8307 | + | 13.4571i | −1.45147 | + | 0.426191i | −0.910029 | − | 0.414545i | \(-0.863941\pi\) |
−0.541445 | + | 0.840736i | \(0.682123\pi\) | |||||||
\(998\) | −12.5470 | − | 8.06345i | −0.397167 | − | 0.255244i | ||||
\(999\) | 1.46953 | + | 10.2208i | 0.0464939 | + | 0.323372i |
(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 | 690.2.m.c.121.2 | ✓ | 20 | |
23.4 | even | 11 | inner | 690.2.m.c.211.2 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.c.121.2 | ✓ | 20 | 1.1 | even | 1 | trivial | |
690.2.m.c.211.2 | yes | 20 | 23.4 | even | 11 | inner |