Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [147,4,Mod(5,147)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(147, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 29]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("147.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 147 = 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 147.o (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.67328077084\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 101.27 | ||
Character | \(\chi\) | \(=\) | 147.101 |
Dual form | 147.4.o.a.131.27 |
$q$-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 \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).
\(n\) | \(50\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.283103 | − | 0.111110i | −0.100092 | − | 0.0392832i | 0.314767 | − | 0.949169i | \(-0.398074\pi\) |
−0.414859 | + | 0.909886i | \(0.636169\pi\) | |||||||
\(3\) | −4.90886 | + | 1.70386i | −0.944710 | + | 0.327908i | ||||
\(4\) | −5.79661 | − | 5.37847i | −0.724577 | − | 0.672309i | ||||
\(5\) | −14.9795 | − | 10.2129i | −1.33981 | − | 0.913466i | −0.340170 | − | 0.940364i | \(-0.610485\pi\) |
−0.999638 | + | 0.0268981i | \(0.991437\pi\) | |||||||
\(6\) | 1.57903 | + | 0.0630541i | 0.107439 | + | 0.00429029i | ||||
\(7\) | −13.0100 | + | 13.1810i | −0.702475 | + | 0.711708i | ||||
\(8\) | 2.09908 | + | 4.35878i | 0.0927671 | + | 0.192633i | ||||
\(9\) | 21.1937 | − | 16.7280i | 0.784953 | − | 0.619555i | ||||
\(10\) | 3.10600 | + | 4.55566i | 0.0982202 | + | 0.144063i | ||||
\(11\) | 4.06296 | + | 26.9560i | 0.111366 | + | 0.738866i | 0.972910 | + | 0.231183i | \(0.0742597\pi\) |
−0.861544 | + | 0.507683i | \(0.830502\pi\) | |||||||
\(12\) | 37.6189 | + | 16.5255i | 0.904970 | + | 0.397542i | ||||
\(13\) | 40.2721 | − | 32.1159i | 0.859190 | − | 0.685181i | −0.0913380 | − | 0.995820i | \(-0.529114\pi\) |
0.950528 | + | 0.310639i | \(0.100543\pi\) | |||||||
\(14\) | 5.14771 | − | 2.28604i | 0.0982703 | − | 0.0436408i | ||||
\(15\) | 90.9335 | + | 24.6105i | 1.56526 | + | 0.423626i | ||||
\(16\) | 4.61748 | + | 61.6160i | 0.0721481 | + | 0.962749i | ||||
\(17\) | −81.2257 | − | 25.0548i | −1.15883 | − | 0.357452i | −0.345028 | − | 0.938593i | \(-0.612130\pi\) |
−0.813803 | + | 0.581141i | \(0.802607\pi\) | |||||||
\(18\) | −7.85865 | + | 2.38091i | −0.102906 | + | 0.0311770i | ||||
\(19\) | 94.1016 | − | 54.3296i | 1.13623 | − | 0.656003i | 0.190736 | − | 0.981641i | \(-0.438913\pi\) |
0.945494 | + | 0.325638i | \(0.105579\pi\) | |||||||
\(20\) | 31.9009 | + | 139.767i | 0.356663 | + | 1.56264i | ||||
\(21\) | 41.4057 | − | 86.8710i | 0.430261 | − | 0.902705i | ||||
\(22\) | 1.84483 | − | 8.08274i | 0.0178782 | − | 0.0783294i | ||||
\(23\) | 8.40103 | + | 27.2355i | 0.0761624 | + | 0.246913i | 0.985645 | − | 0.168829i | \(-0.0539984\pi\) |
−0.909483 | + | 0.415741i | \(0.863522\pi\) | |||||||
\(24\) | −17.7308 | − | 17.8201i | −0.150804 | − | 0.151563i | ||||
\(25\) | 74.4157 | + | 189.608i | 0.595325 | + | 1.51686i | ||||
\(26\) | −14.9695 | + | 4.61749i | −0.112914 | + | 0.0348294i | ||||
\(27\) | −75.5348 | + | 118.226i | −0.538396 | + | 0.842692i | ||||
\(28\) | 146.308 | − | 6.43121i | 0.987485 | − | 0.0434066i | ||||
\(29\) | −251.444 | + | 57.3904i | −1.61007 | + | 0.367487i | −0.930547 | − | 0.366171i | \(-0.880668\pi\) |
−0.679518 | + | 0.733658i | \(0.737811\pi\) | |||||||
\(30\) | −23.0091 | − | 17.0709i | −0.140029 | − | 0.103890i | ||||
\(31\) | 33.3614 | + | 19.2612i | 0.193287 | + | 0.111594i | 0.593520 | − | 0.804819i | \(-0.297738\pi\) |
−0.400234 | + | 0.916413i | \(0.631071\pi\) | |||||||
\(32\) | 16.9468 | − | 54.9403i | 0.0936190 | − | 0.303505i | ||||
\(33\) | −65.8736 | − | 125.400i | −0.347489 | − | 0.661496i | ||||
\(34\) | 20.2114 | + | 16.1180i | 0.101948 | + | 0.0813007i | ||||
\(35\) | 329.500 | − | 64.5757i | 1.59130 | − | 0.311865i | ||||
\(36\) | −212.823 | − | 17.0241i | −0.985291 | − | 0.0788155i | ||||
\(37\) | −84.6140 | + | 78.5103i | −0.375958 | + | 0.348838i | −0.845408 | − | 0.534121i | \(-0.820643\pi\) |
0.469450 | + | 0.882959i | \(0.344452\pi\) | |||||||
\(38\) | −32.6770 | + | 4.92526i | −0.139497 | + | 0.0210259i | ||||
\(39\) | −142.969 | + | 226.270i | −0.587009 | + | 0.929032i | ||||
\(40\) | 13.0725 | − | 86.7301i | 0.0516734 | − | 0.342831i | ||||
\(41\) | 416.591 | − | 200.620i | 1.58684 | − | 0.764184i | 0.587848 | − | 0.808971i | \(-0.299975\pi\) |
0.998997 | + | 0.0447873i | \(0.0142610\pi\) | |||||||
\(42\) | −21.3743 | + | 19.9928i | −0.0785268 | + | 0.0734515i | ||||
\(43\) | 296.963 | + | 143.010i | 1.05317 | + | 0.507182i | 0.878648 | − | 0.477470i | \(-0.158446\pi\) |
0.174527 | + | 0.984652i | \(0.444161\pi\) | |||||||
\(44\) | 121.430 | − | 178.106i | 0.416053 | − | 0.610238i | ||||
\(45\) | −488.312 | + | 34.1286i | −1.61763 | + | 0.113058i | ||||
\(46\) | 0.647769 | − | 8.64388i | 0.00207627 | − | 0.0277059i | ||||
\(47\) | 67.7263 | − | 172.564i | 0.210189 | − | 0.535554i | −0.786433 | − | 0.617676i | \(-0.788074\pi\) |
0.996622 | + | 0.0821219i | \(0.0261697\pi\) | |||||||
\(48\) | −127.651 | − | 294.596i | −0.383852 | − | 0.885861i | ||||
\(49\) | −4.47846 | − | 342.971i | −0.0130567 | − | 0.999915i | ||||
\(50\) | − | 61.9469i | − | 0.175212i | ||||||
\(51\) | 441.415 | − | 15.4067i | 1.21197 | − | 0.0423013i | ||||
\(52\) | −406.176 | − | 30.4387i | −1.08320 | − | 0.0811748i | ||||
\(53\) | −200.228 | + | 215.795i | −0.518933 | + | 0.559277i | −0.937085 | − | 0.349100i | \(-0.886487\pi\) |
0.418152 | + | 0.908377i | \(0.362678\pi\) | |||||||
\(54\) | 34.5202 | − | 25.0776i | 0.0869927 | − | 0.0631968i | ||||
\(55\) | 214.436 | − | 445.282i | 0.525720 | − | 1.09167i | ||||
\(56\) | −84.7623 | − | 29.0399i | −0.202265 | − | 0.0692968i | ||||
\(57\) | −369.361 | + | 427.032i | −0.858299 | + | 0.992311i | ||||
\(58\) | 77.5610 | + | 11.6904i | 0.175591 | + | 0.0264660i | ||||
\(59\) | −433.618 | + | 295.636i | −0.956818 | + | 0.652348i | −0.937691 | − | 0.347469i | \(-0.887041\pi\) |
−0.0191270 | + | 0.999817i | \(0.506089\pi\) | |||||||
\(60\) | −394.740 | − | 631.741i | −0.849345 | − | 1.35929i | ||||
\(61\) | 467.341 | + | 503.674i | 0.980933 | + | 1.05719i | 0.998354 | + | 0.0573463i | \(0.0182639\pi\) |
−0.0174212 | + | 0.999848i | \(0.505546\pi\) | |||||||
\(62\) | −7.30461 | − | 9.15969i | −0.0149627 | − | 0.0187626i | ||||
\(63\) | −55.2390 | + | 496.987i | −0.110468 | + | 0.993880i | ||||
\(64\) | 297.295 | − | 372.796i | 0.580654 | − | 0.728118i | ||||
\(65\) | −931.252 | + | 69.7877i | −1.77704 | + | 0.133171i | ||||
\(66\) | 4.71583 | + | 42.8204i | 0.00879513 | + | 0.0798609i | ||||
\(67\) | −123.279 | + | 213.526i | −0.224791 | + | 0.389349i | −0.956257 | − | 0.292529i | \(-0.905503\pi\) |
0.731466 | + | 0.681878i | \(0.238836\pi\) | |||||||
\(68\) | 336.077 | + | 582.103i | 0.599344 | + | 1.03809i | ||||
\(69\) | −87.6448 | − | 119.381i | −0.152916 | − | 0.208286i | ||||
\(70\) | −100.457 | − | 18.3291i | −0.171528 | − | 0.0312963i | ||||
\(71\) | 306.770 | + | 70.0182i | 0.512773 | + | 0.117037i | 0.471075 | − | 0.882093i | \(-0.343866\pi\) |
0.0416979 | + | 0.999130i | \(0.486723\pi\) | |||||||
\(72\) | 117.401 | + | 57.2655i | 0.192165 | + | 0.0937334i | ||||
\(73\) | −263.143 | + | 103.276i | −0.421899 | + | 0.165583i | −0.566786 | − | 0.823865i | \(-0.691813\pi\) |
0.144887 | + | 0.989448i | \(0.453718\pi\) | |||||||
\(74\) | 32.6777 | − | 12.8251i | 0.0513339 | − | 0.0201471i | ||||
\(75\) | −688.361 | − | 803.965i | −1.05980 | − | 1.23778i | ||||
\(76\) | −837.680 | − | 191.195i | −1.26432 | − | 0.288573i | ||||
\(77\) | −408.166 | − | 297.144i | −0.604089 | − | 0.439775i | ||||
\(78\) | 65.6157 | − | 48.1726i | 0.0952503 | − | 0.0699291i | ||||
\(79\) | 52.8640 | + | 91.5632i | 0.0752870 | + | 0.130401i | 0.901211 | − | 0.433381i | \(-0.142679\pi\) |
−0.825924 | + | 0.563781i | \(0.809346\pi\) | |||||||
\(80\) | 560.107 | − | 970.135i | 0.782774 | − | 1.35580i | ||||
\(81\) | 169.348 | − | 709.057i | 0.232302 | − | 0.972644i | ||||
\(82\) | −140.229 | + | 10.5087i | −0.188850 | + | 0.0141524i | ||||
\(83\) | 280.931 | − | 352.277i | 0.371521 | − | 0.465872i | −0.560565 | − | 0.828110i | \(-0.689416\pi\) |
0.932085 | + | 0.362238i | \(0.117987\pi\) | |||||||
\(84\) | −707.246 | + | 280.858i | −0.918653 | + | 0.364811i | ||||
\(85\) | 960.840 | + | 1204.86i | 1.22609 | + | 1.53747i | ||||
\(86\) | −68.1814 | − | 73.4821i | −0.0854906 | − | 0.0921369i | ||||
\(87\) | 1136.52 | − | 710.146i | 1.40054 | − | 0.875122i | ||||
\(88\) | −108.967 | + | 74.2923i | −0.131999 | + | 0.0899953i | ||||
\(89\) | 1028.52 | + | 155.025i | 1.22498 | + | 0.184636i | 0.729499 | − | 0.683982i | \(-0.239753\pi\) |
0.495482 | + | 0.868618i | \(0.334992\pi\) | |||||||
\(90\) | 142.035 | + | 44.5943i | 0.166353 | + | 0.0522295i | ||||
\(91\) | −100.620 | + | 948.656i | −0.115911 | + | 1.09282i | ||||
\(92\) | 97.7877 | − | 203.058i | 0.110816 | − | 0.230112i | ||||
\(93\) | −196.585 | − | 37.7074i | −0.219193 | − | 0.0420439i | ||||
\(94\) | −38.3470 | + | 41.3283i | −0.0420765 | + | 0.0453477i | ||||
\(95\) | −1964.46 | − | 147.216i | −2.12157 | − | 0.158989i | ||||
\(96\) | 10.4209 | + | 298.569i | 0.0110790 | + | 0.317423i | ||||
\(97\) | − | 214.821i | − | 0.224863i | −0.993659 | − | 0.112432i | \(-0.964136\pi\) | ||
0.993659 | − | 0.112432i | \(-0.0358639\pi\) | |||||||
\(98\) | −36.8395 | + | 97.5936i | −0.0379730 | + | 0.100596i | ||||
\(99\) | 537.028 | + | 503.332i | 0.545186 | + | 0.510978i | ||||
\(100\) | 588.442 | − | 1499.33i | 0.588442 | − | 1.49933i | ||||
\(101\) | −87.7814 | + | 1171.36i | −0.0864809 | + | 1.15401i | 0.770075 | + | 0.637953i | \(0.220219\pi\) |
−0.856556 | + | 0.516054i | \(0.827400\pi\) | |||||||
\(102\) | −126.678 | − | 44.6838i | −0.122970 | − | 0.0433760i | ||||
\(103\) | −375.857 | + | 551.281i | −0.359556 | + | 0.527372i | −0.962811 | − | 0.270177i | \(-0.912918\pi\) |
0.603255 | + | 0.797549i | \(0.293870\pi\) | |||||||
\(104\) | 224.521 | + | 108.123i | 0.211693 | + | 0.101946i | ||||
\(105\) | −1507.44 | + | 878.414i | −1.40106 | + | 0.816423i | ||||
\(106\) | 80.6620 | − | 38.8448i | 0.0739112 | − | 0.0355938i | ||||
\(107\) | −59.1189 | + | 392.228i | −0.0534135 | + | 0.354375i | 0.946120 | + | 0.323818i | \(0.104966\pi\) |
−0.999533 | + | 0.0305577i | \(0.990272\pi\) | |||||||
\(108\) | 1073.72 | − | 279.051i | 0.956658 | − | 0.248627i | ||||
\(109\) | 1275.95 | − | 192.319i | 1.12123 | − | 0.168999i | 0.437842 | − | 0.899052i | \(-0.355743\pi\) |
0.683390 | + | 0.730053i | \(0.260505\pi\) | |||||||
\(110\) | −110.183 | + | 102.235i | −0.0955045 | + | 0.0886153i | ||||
\(111\) | 281.587 | − | 529.566i | 0.240785 | − | 0.452831i | ||||
\(112\) | −872.235 | − | 740.762i | −0.735879 | − | 0.624959i | ||||
\(113\) | −753.352 | − | 600.778i | −0.627163 | − | 0.500146i | 0.257561 | − | 0.966262i | \(-0.417081\pi\) |
−0.884723 | + | 0.466117i | \(0.845653\pi\) | |||||||
\(114\) | 152.015 | − | 79.8543i | 0.124890 | − | 0.0656056i | ||||
\(115\) | 152.309 | − | 493.773i | 0.123503 | − | 0.400387i | ||||
\(116\) | 1766.19 | + | 1019.71i | 1.41368 | + | 0.816189i | ||||
\(117\) | 316.281 | − | 1354.33i | 0.249916 | − | 1.07015i | ||||
\(118\) | 155.607 | − | 35.5162i | 0.121396 | − | 0.0277079i | ||||
\(119\) | 1387.00 | − | 744.674i | 1.06845 | − | 0.573648i | ||||
\(120\) | 83.6050 | + | 448.019i | 0.0636005 | + | 0.340820i | ||||
\(121\) | 561.751 | − | 173.277i | 0.422052 | − | 0.130186i | ||||
\(122\) | −76.3426 | − | 194.518i | −0.0566535 | − | 0.144351i | ||||
\(123\) | −1703.16 | + | 1694.63i | −1.24853 | + | 1.24227i | ||||
\(124\) | −89.7874 | − | 291.083i | −0.0650253 | − | 0.210807i | ||||
\(125\) | 317.448 | − | 1390.83i | 0.227147 | − | 0.995198i | ||||
\(126\) | 70.8583 | − | 134.561i | 0.0500997 | − | 0.0951399i | ||||
\(127\) | 464.885 | + | 2036.79i | 0.324818 | + | 1.42312i | 0.828867 | + | 0.559445i | \(0.188986\pi\) |
−0.504050 | + | 0.863675i | \(0.668157\pi\) | |||||||
\(128\) | −523.921 | + | 302.486i | −0.361785 | + | 0.208877i | ||||
\(129\) | −1701.42 | − | 196.032i | −1.16125 | − | 0.133796i | ||||
\(130\) | 271.394 | + | 83.7140i | 0.183099 | + | 0.0564785i | ||||
\(131\) | 117.404 | + | 1566.64i | 0.0783024 | + | 1.04487i | 0.888548 | + | 0.458783i | \(0.151714\pi\) |
−0.810246 | + | 0.586090i | \(0.800667\pi\) | |||||||
\(132\) | −292.618 | + | 1081.20i | −0.192948 | + | 0.712924i | ||||
\(133\) | −508.145 | + | 1947.18i | −0.331291 | + | 1.26949i | ||||
\(134\) | 58.6256 | − | 46.7523i | 0.0377946 | − | 0.0301402i | ||||
\(135\) | 2338.90 | − | 999.548i | 1.49112 | − | 0.637240i | ||||
\(136\) | −61.2907 | − | 406.637i | −0.0386444 | − | 0.256389i | ||||
\(137\) | 345.472 | + | 506.714i | 0.215443 | + | 0.315996i | 0.918713 | − | 0.394926i | \(-0.129230\pi\) |
−0.703270 | + | 0.710923i | \(0.748278\pi\) | |||||||
\(138\) | 11.5481 | + | 43.5352i | 0.00712350 | + | 0.0268548i | ||||
\(139\) | −1050.32 | − | 2181.00i | −0.640910 | − | 1.33086i | −0.927864 | − | 0.372920i | \(-0.878357\pi\) |
0.286953 | − | 0.957945i | \(-0.407358\pi\) | |||||||
\(140\) | −2257.30 | − | 1397.88i | −1.36269 | − | 0.843877i | ||||
\(141\) | −38.4343 | + | 962.487i | −0.0229557 | + | 0.574866i | ||||
\(142\) | −79.0677 | − | 53.9074i | −0.0467269 | − | 0.0318578i | ||||
\(143\) | 1029.34 | + | 955.087i | 0.601942 | + | 0.558520i | ||||
\(144\) | 1128.57 | + | 1228.63i | 0.653109 | + | 0.711013i | ||||
\(145\) | 4352.62 | + | 1708.28i | 2.49287 | + | 0.978378i | ||||
\(146\) | 85.9716 | 0.0487333 | ||||||||
\(147\) | 606.358 | + | 1675.96i | 0.340215 | + | 0.940348i | ||||
\(148\) | 912.740 | 0.506938 | ||||||||
\(149\) | 3025.60 | + | 1187.46i | 1.66353 | + | 0.652889i | 0.995804 | − | 0.0915155i | \(-0.0291711\pi\) |
0.667729 | + | 0.744404i | \(0.267266\pi\) | |||||||
\(150\) | 105.549 | + | 304.088i | 0.0574535 | + | 0.165525i | ||||
\(151\) | 282.104 | + | 261.754i | 0.152035 | + | 0.141068i | 0.752523 | − | 0.658566i | \(-0.228837\pi\) |
−0.600488 | + | 0.799634i | \(0.705027\pi\) | |||||||
\(152\) | 434.337 | + | 296.126i | 0.231773 | + | 0.158020i | ||||
\(153\) | −2140.59 | + | 827.738i | −1.13109 | + | 0.437377i | ||||
\(154\) | 82.5374 | + | 129.473i | 0.0431887 | + | 0.0677485i | ||||
\(155\) | −303.026 | − | 629.240i | −0.157030 | − | 0.326076i | ||||
\(156\) | 2045.72 | − | 542.648i | 1.04993 | − | 0.278504i | ||||
\(157\) | −1427.60 | − | 2093.91i | −0.725701 | − | 1.06441i | −0.994855 | − | 0.101311i | \(-0.967696\pi\) |
0.269153 | − | 0.963097i | \(-0.413256\pi\) | |||||||
\(158\) | −4.79240 | − | 31.7955i | −0.00241306 | − | 0.0160096i | ||||
\(159\) | 615.208 | − | 1400.47i | 0.306850 | − | 0.698517i | ||||
\(160\) | −814.953 | + | 649.903i | −0.402673 | + | 0.321121i | ||||
\(161\) | −468.289 | − | 243.600i | −0.229232 | − | 0.119245i | ||||
\(162\) | −126.726 | + | 181.920i | −0.0614602 | + | 0.0882282i | ||||
\(163\) | −28.3617 | − | 378.461i | −0.0136286 | − | 0.181861i | −0.999864 | − | 0.0165118i | \(-0.994744\pi\) |
0.986235 | − | 0.165349i | \(-0.0528752\pi\) | |||||||
\(164\) | −3493.85 | − | 1077.71i | −1.66356 | − | 0.513140i | ||||
\(165\) | −293.940 | + | 2551.19i | −0.138686 | + | 1.20370i | ||||
\(166\) | −118.674 | + | 68.5163i | −0.0554872 | + | 0.0320355i | ||||
\(167\) | 337.252 | + | 1477.60i | 0.156271 | + | 0.684670i | 0.990984 | + | 0.133984i | \(0.0427769\pi\) |
−0.834712 | + | 0.550687i | \(0.814366\pi\) | |||||||
\(168\) | 465.566 | − | 1.87037i | 0.213805 | − | 0.000858943i | ||||
\(169\) | 101.531 | − | 444.835i | 0.0462133 | − | 0.202474i | ||||
\(170\) | −138.145 | − | 447.857i | −0.0623251 | − | 0.202053i | ||||
\(171\) | 1085.54 | − | 2725.58i | 0.485457 | − | 1.21889i | ||||
\(172\) | −952.207 | − | 2426.18i | −0.422123 | − | 1.07555i | ||||
\(173\) | −3915.54 | + | 1207.78i | −1.72077 | + | 0.530787i | −0.988630 | − | 0.150369i | \(-0.951954\pi\) |
−0.732138 | + | 0.681156i | \(0.761477\pi\) | |||||||
\(174\) | −400.655 | + | 74.7663i | −0.174561 | + | 0.0325748i | ||||
\(175\) | −3467.38 | − | 1485.93i | −1.49777 | − | 0.641862i | ||||
\(176\) | −1642.16 | + | 374.812i | −0.703308 | + | 0.160525i | ||||
\(177\) | 1624.85 | − | 2190.06i | 0.690006 | − | 0.930027i | ||||
\(178\) | −273.953 | − | 158.167i | −0.115358 | − | 0.0666018i | ||||
\(179\) | 544.149 | − | 1764.09i | 0.227216 | − | 0.736615i | −0.768134 | − | 0.640289i | \(-0.778815\pi\) |
0.995350 | − | 0.0963263i | \(-0.0307092\pi\) | |||||||
\(180\) | 3014.12 | + | 2428.54i | 1.24811 | + | 1.00563i | ||||
\(181\) | −1066.13 | − | 850.213i | −0.437818 | − | 0.349148i | 0.379642 | − | 0.925134i | \(-0.376047\pi\) |
−0.817460 | + | 0.575985i | \(0.804619\pi\) | |||||||
\(182\) | 133.891 | − | 257.387i | 0.0545310 | − | 0.104829i | ||||
\(183\) | −3152.30 | − | 1676.18i | −1.27336 | − | 0.677086i | ||||
\(184\) | −101.079 | + | 93.7877i | −0.0404981 | + | 0.0375767i | ||||
\(185\) | 2069.29 | − | 311.895i | 0.822364 | − | 0.123951i | ||||
\(186\) | 51.4641 | + | 32.5176i | 0.0202878 | + | 0.0128188i | ||||
\(187\) | 345.360 | − | 2291.31i | 0.135055 | − | 0.896029i | ||||
\(188\) | −1320.71 | + | 636.022i | −0.512356 | + | 0.246738i | ||||
\(189\) | −575.635 | − | 2533.75i | −0.221541 | − | 0.975151i | ||||
\(190\) | 539.786 | + | 259.947i | 0.206106 | + | 0.0992555i | ||||
\(191\) | 1185.93 | − | 1739.45i | 0.449273 | − | 0.658963i | −0.533066 | − | 0.846074i | \(-0.678960\pi\) |
0.982339 | + | 0.187111i | \(0.0599125\pi\) | |||||||
\(192\) | −824.186 | + | 2336.55i | −0.309794 | + | 0.878261i | ||||
\(193\) | −320.793 | + | 4280.69i | −0.119643 | + | 1.59653i | 0.537830 | + | 0.843053i | \(0.319244\pi\) |
−0.657474 | + | 0.753478i | \(0.728375\pi\) | |||||||
\(194\) | −23.8687 | + | 60.8164i | −0.00883335 | + | 0.0225070i | ||||
\(195\) | 4452.47 | − | 1929.30i | 1.63512 | − | 0.708513i | ||||
\(196\) | −1818.70 | + | 2012.16i | −0.662791 | + | 0.733293i | ||||
\(197\) | 2715.19i | 0.981976i | 0.871166 | + | 0.490988i | \(0.163364\pi\) | ||||
−0.871166 | + | 0.490988i | \(0.836636\pi\) | |||||||
\(198\) | −96.1092 | − | 202.164i | −0.0344959 | − | 0.0725614i | ||||
\(199\) | −938.098 | − | 70.3007i | −0.334171 | − | 0.0250426i | −0.0934117 | − | 0.995628i | \(-0.529777\pi\) |
−0.240759 | + | 0.970585i | \(0.577396\pi\) | |||||||
\(200\) | −670.256 | + | 722.364i | −0.236971 | + | 0.255394i | ||||
\(201\) | 241.342 | − | 1258.22i | 0.0846914 | − | 0.441532i | ||||
\(202\) | 155.001 | − | 321.862i | 0.0539892 | − | 0.112110i | ||||
\(203\) | 2514.82 | − | 4060.93i | 0.869488 | − | 1.40405i | ||||
\(204\) | −2641.58 | − | 2284.83i | −0.906605 | − | 0.784168i | ||||
\(205\) | −8289.24 | − | 1249.40i | −2.82412 | − | 0.425668i | ||||
\(206\) | 167.659 | − | 114.308i | 0.0567055 | − | 0.0386612i | ||||
\(207\) | 633.644 | + | 436.689i | 0.212760 | + | 0.146628i | ||||
\(208\) | 2164.81 | + | 2333.11i | 0.721647 | + | 0.777750i | ||||
\(209\) | 1846.84 | + | 2315.86i | 0.611236 | + | 0.766466i | ||||
\(210\) | 524.360 | − | 81.1904i | 0.172306 | − | 0.0266794i | ||||
\(211\) | 842.011 | − | 1055.85i | 0.274723 | − | 0.344491i | −0.625260 | − | 0.780416i | \(-0.715007\pi\) |
0.899983 | + | 0.435925i | \(0.143579\pi\) | |||||||
\(212\) | 2321.29 | − | 173.957i | 0.752014 | − | 0.0563556i | ||||
\(213\) | −1625.19 | + | 178.983i | −0.522799 | + | 0.0575762i | ||||
\(214\) | 60.3171 | − | 104.472i | 0.0192673 | − | 0.0333719i | ||||
\(215\) | −2987.83 | − | 5175.07i | −0.947758 | − | 1.64157i | ||||
\(216\) | −673.877 | − | 81.0733i | −0.212276 | − | 0.0255386i | ||||
\(217\) | −687.916 | + | 189.149i | −0.215202 | + | 0.0591716i | ||||
\(218\) | −382.595 | − | 87.3248i | −0.118865 | − | 0.0271302i | ||||
\(219\) | 1115.77 | − | 955.327i | 0.344276 | − | 0.294772i | ||||
\(220\) | −3637.94 | + | 1427.79i | −1.11486 | + | 0.437551i | ||||
\(221\) | −4075.79 | + | 1599.63i | −1.24058 | + | 0.486890i | ||||
\(222\) | −138.558 | + | 118.635i | −0.0418892 | + | 0.0358659i | ||||
\(223\) | 1606.92 | + | 366.769i | 0.482544 | + | 0.110138i | 0.456871 | − | 0.889533i | \(-0.348970\pi\) |
0.0256731 | + | 0.999670i | \(0.491827\pi\) | |||||||
\(224\) | 503.690 | + | 938.152i | 0.150242 | + | 0.279834i | ||||
\(225\) | 4748.91 | + | 2773.68i | 1.40708 | + | 0.821830i | ||||
\(226\) | 146.524 | + | 253.787i | 0.0431266 | + | 0.0746975i | ||||
\(227\) | 2265.31 | − | 3923.63i | 0.662351 | − | 1.14723i | −0.317645 | − | 0.948210i | \(-0.602892\pi\) |
0.979996 | − | 0.199016i | \(-0.0637747\pi\) | |||||||
\(228\) | 4437.82 | − | 488.740i | 1.28904 | − | 0.141963i | ||||
\(229\) | −5615.32 | + | 420.810i | −1.62040 | + | 0.121432i | −0.853766 | − | 0.520656i | \(-0.825687\pi\) |
−0.766631 | + | 0.642088i | \(0.778068\pi\) | |||||||
\(230\) | −97.9819 | + | 122.865i | −0.0280902 | + | 0.0352240i | ||||
\(231\) | 2509.92 | + | 763.179i | 0.714894 | + | 0.217374i | ||||
\(232\) | −777.953 | − | 975.522i | −0.220151 | − | 0.276061i | ||||
\(233\) | 395.637 | + | 426.395i | 0.111240 | + | 0.119889i | 0.786217 | − | 0.617950i | \(-0.212037\pi\) |
−0.674977 | + | 0.737839i | \(0.735846\pi\) | |||||||
\(234\) | −240.019 | + | 348.272i | −0.0670535 | + | 0.0972960i | ||||
\(235\) | −2776.88 | + | 1893.24i | −0.770824 | + | 0.525539i | ||||
\(236\) | 4103.59 | + | 618.516i | 1.13187 | + | 0.170602i | ||||
\(237\) | −415.513 | − | 359.398i | −0.113884 | − | 0.0985038i | ||||
\(238\) | −475.403 | + | 56.7105i | −0.129478 | + | 0.0154454i | ||||
\(239\) | 72.3809 | − | 150.301i | 0.0195897 | − | 0.0406784i | −0.890944 | − | 0.454112i | \(-0.849956\pi\) |
0.910534 | + | 0.413434i | \(0.135671\pi\) | |||||||
\(240\) | −1096.51 | + | 5716.60i | −0.294915 | + | 1.53752i | ||||
\(241\) | 771.462 | − | 831.438i | 0.206200 | − | 0.222231i | −0.621481 | − | 0.783429i | \(-0.713469\pi\) |
0.827682 | + | 0.561198i | \(0.189659\pi\) | |||||||
\(242\) | −178.286 | − | 13.3607i | −0.0473581 | − | 0.00354900i | ||||
\(243\) | 376.827 | + | 3769.21i | 0.0994792 | + | 0.995040i | ||||
\(244\) | − | 5433.19i | − | 1.42551i | ||||||
\(245\) | −3435.63 | + | 5183.27i | −0.895894 | + | 1.35162i | ||||
\(246\) | 670.458 | − | 290.516i | 0.173768 | − | 0.0752952i | ||||
\(247\) | 2044.82 | − | 5210.12i | 0.526757 | − | 1.34215i | ||||
\(248\) | −13.9272 | + | 185.846i | −0.00356605 | + | 0.0475857i | ||||
\(249\) | −778.821 | + | 2207.94i | −0.198216 | + | 0.561938i | ||||
\(250\) | −244.405 | + | 358.477i | −0.0618302 | + | 0.0906882i | ||||
\(251\) | −3706.03 | − | 1784.73i | −0.931963 | − | 0.448810i | −0.0946358 | − | 0.995512i | \(-0.530169\pi\) |
−0.837327 | + | 0.546702i | \(0.815883\pi\) | |||||||
\(252\) | 2993.23 | − | 2583.74i | 0.748236 | − | 0.645874i | ||||
\(253\) | −700.025 | + | 337.114i | −0.173953 | + | 0.0837715i | ||||
\(254\) | 94.6973 | − | 628.275i | 0.0233930 | − | 0.155203i | ||||
\(255\) | −6769.53 | − | 4277.32i | −1.66245 | − | 1.05042i | ||||
\(256\) | −3590.06 | + | 541.114i | −0.876478 | + | 0.132108i | ||||
\(257\) | 2091.82 | − | 1940.92i | 0.507719 | − | 0.471095i | −0.384225 | − | 0.923239i | \(-0.625531\pi\) |
0.891945 | + | 0.452145i | \(0.149341\pi\) | |||||||
\(258\) | 459.896 | + | 244.541i | 0.110976 | + | 0.0590096i | ||||
\(259\) | 65.9844 | − | 2136.72i | 0.0158304 | − | 0.512623i | ||||
\(260\) | 5773.46 | + | 4604.18i | 1.37713 | + | 1.09823i | ||||
\(261\) | −4369.00 | + | 5422.46i | −1.03615 | + | 1.28599i | ||||
\(262\) | 140.832 | − | 456.566i | 0.0332085 | − | 0.107659i | ||||
\(263\) | 2849.11 | + | 1644.93i | 0.667999 | + | 0.385669i | 0.795318 | − | 0.606193i | \(-0.207304\pi\) |
−0.127319 | + | 0.991862i | \(0.540637\pi\) | |||||||
\(264\) | 408.318 | − | 550.354i | 0.0951904 | − | 0.128303i | ||||
\(265\) | 5203.20 | − | 1187.60i | 1.20615 | − | 0.275296i | ||||
\(266\) | 360.208 | − | 494.793i | 0.0830292 | − | 0.114052i | ||||
\(267\) | −5313.01 | + | 991.464i | −1.21779 | + | 0.227253i | ||||
\(268\) | 1863.05 | − | 574.674i | 0.424641 | − | 0.130984i | ||||
\(269\) | −156.697 | − | 399.259i | −0.0355168 | − | 0.0904953i | 0.912015 | − | 0.410157i | \(-0.134526\pi\) |
−0.947532 | + | 0.319662i | \(0.896431\pi\) | |||||||
\(270\) | −773.210 | + | 23.0999i | −0.174282 | + | 0.00520672i | ||||
\(271\) | 153.780 | + | 498.541i | 0.0344703 | + | 0.111750i | 0.971173 | − | 0.238376i | \(-0.0766150\pi\) |
−0.936703 | + | 0.350126i | \(0.886139\pi\) | |||||||
\(272\) | 1168.72 | − | 5120.49i | 0.260529 | − | 1.14145i | ||||
\(273\) | −1122.45 | − | 4828.26i | −0.248841 | − | 1.07040i | ||||
\(274\) | −41.5032 | − | 181.837i | −0.00915073 | − | 0.0400920i | ||||
\(275\) | −4808.72 | + | 2776.32i | −1.05446 | + | 0.608793i | ||||
\(276\) | −134.043 | + | 1163.40i | −0.0292335 | + | 0.253726i | ||||
\(277\) | 2785.26 | + | 859.140i | 0.604153 | + | 0.186356i | 0.581716 | − | 0.813392i | \(-0.302381\pi\) |
0.0224366 | + | 0.999748i | \(0.492858\pi\) | |||||||
\(278\) | 55.0168 | + | 734.148i | 0.0118694 | + | 0.158386i | ||||
\(279\) | 1029.26 | − | 149.853i | 0.220860 | − | 0.0321557i | ||||
\(280\) | 973.118 | + | 1300.67i | 0.207696 | + | 0.277606i | ||||
\(281\) | 3876.74 | − | 3091.60i | 0.823014 | − | 0.656332i | −0.118631 | − | 0.992938i | \(-0.537851\pi\) |
0.941645 | + | 0.336607i | \(0.109279\pi\) | |||||||
\(282\) | 117.823 | − | 268.212i | 0.0248802 | − | 0.0566377i | ||||
\(283\) | 1297.76 | + | 8610.05i | 0.272592 | + | 1.80853i | 0.536409 | + | 0.843958i | \(0.319780\pi\) |
−0.263817 | + | 0.964573i | \(0.584982\pi\) | |||||||
\(284\) | −1401.63 | − | 2055.82i | −0.292858 | − | 0.429544i | ||||
\(285\) | 9894.06 | − | 2624.49i | 2.05640 | − | 0.545479i | ||||
\(286\) | −185.289 | − | 384.758i | −0.0383091 | − | 0.0795496i | ||||
\(287\) | −2775.49 | + | 8101.17i | −0.570843 | + | 1.66619i | ||||
\(288\) | −559.874 | − | 1447.88i | −0.114552 | − | 0.296239i | ||||
\(289\) | 1910.56 | + | 1302.60i | 0.388878 | + | 0.265133i | ||||
\(290\) | −1042.43 | − | 967.237i | −0.211082 | − | 0.195856i | ||||
\(291\) | 366.024 | + | 1054.52i | 0.0737345 | + | 0.212431i | ||||
\(292\) | 2080.81 | + | 816.657i | 0.417021 | + | 0.163669i | ||||
\(293\) | 1019.76 | 0.203327 | 0.101664 | − | 0.994819i | \(-0.467583\pi\) | ||||
0.101664 | + | 0.994819i | \(0.467583\pi\) | |||||||
\(294\) | 14.5541 | − | 541.842i | 0.00288712 | − | 0.107486i | ||||
\(295\) | 9514.68 | 1.87785 | ||||||||
\(296\) | −519.821 | − | 204.015i | −0.102074 | − | 0.0400612i | ||||
\(297\) | −3493.80 | − | 1555.76i | −0.682596 | − | 0.303955i | ||||
\(298\) | −724.616 | − | 672.346i | −0.140859 | − | 0.130698i | ||||
\(299\) | 1213.02 | + | 827.023i | 0.234618 | + | 0.159960i | ||||
\(300\) | −333.938 | + | 8362.60i | −0.0642663 | + | 1.60938i | ||||
\(301\) | −5748.52 | + | 2053.72i | −1.10079 | + | 0.393270i | ||||
\(302\) | −50.7810 | − | 105.448i | −0.00967589 | − | 0.0200922i | ||||
\(303\) | −1564.93 | − | 5899.61i | −0.296709 | − | 1.11856i | ||||
\(304\) | 3782.08 | + | 5547.29i | 0.713543 | + | 1.04658i | ||||
\(305\) | −1856.59 | − | 12317.7i | −0.348551 | − | 2.31249i | ||||
\(306\) | 697.977 | + | 3.50549i | 0.130394 | + | 0.000654886i | ||||
\(307\) | 3146.10 | − | 2508.93i | 0.584877 | − | 0.466424i | −0.285793 | − | 0.958291i | \(-0.592257\pi\) |
0.870670 | + | 0.491868i | \(0.163686\pi\) | |||||||
\(308\) | 767.802 | + | 3917.74i | 0.142044 | + | 0.724785i | ||||
\(309\) | 905.723 | − | 3346.57i | 0.166747 | − | 0.616115i | ||||
\(310\) | 15.8729 | + | 211.809i | 0.00290812 | + | 0.0388062i | ||||
\(311\) | 7989.76 | + | 2464.51i | 1.45678 | + | 0.449356i | 0.919177 | − | 0.393844i | \(-0.128855\pi\) |
0.537600 | + | 0.843200i | \(0.319331\pi\) | |||||||
\(312\) | −1286.37 | − | 148.211i | −0.233417 | − | 0.0268936i | ||||
\(313\) | −2046.55 | + | 1181.58i | −0.369578 | + | 0.213376i | −0.673274 | − | 0.739393i | \(-0.735113\pi\) |
0.303696 | + | 0.952769i | \(0.401779\pi\) | |||||||
\(314\) | 171.505 | + | 751.412i | 0.0308235 | + | 0.135047i | ||||
\(315\) | 5903.11 | − | 6880.47i | 1.05588 | − | 1.23070i | ||||
\(316\) | 186.038 | − | 815.084i | 0.0331185 | − | 0.145101i | ||||
\(317\) | 431.124 | + | 1397.67i | 0.0763859 | + | 0.247637i | 0.985710 | − | 0.168452i | \(-0.0538767\pi\) |
−0.909324 | + | 0.416089i | \(0.863401\pi\) | |||||||
\(318\) | −329.772 | + | 328.120i | −0.0581532 | + | 0.0578619i | ||||
\(319\) | −2568.62 | − | 6544.73i | −0.450831 | − | 1.14870i | ||||
\(320\) | −8260.65 | + | 2548.07i | −1.44308 | + | 0.445130i | ||||
\(321\) | −378.096 | − | 2026.12i | −0.0657422 | − | 0.352297i | ||||
\(322\) | 105.508 | + | 120.995i | 0.0182600 | + | 0.0209404i | ||||
\(323\) | −9004.68 | + | 2055.26i | −1.55119 | + | 0.354049i | ||||
\(324\) | −4795.29 | + | 3199.29i | −0.822238 | + | 0.548576i | ||||
\(325\) | 9086.31 | + | 5245.99i | 1.55082 | + | 0.895369i | ||||
\(326\) | −34.0214 | + | 110.295i | −0.00577998 | + | 0.0187382i | ||||
\(327\) | −5935.79 | + | 3118.11i | −1.00382 | + | 0.527315i | ||||
\(328\) | 1748.92 | + | 1394.71i | 0.294414 | + | 0.234787i | ||||
\(329\) | 1393.45 | + | 3137.76i | 0.233505 | + | 0.525807i | ||||
\(330\) | 366.677 | − | 689.590i | 0.0611664 | − | 0.115032i | ||||
\(331\) | −1712.51 | + | 1588.97i | −0.284374 | + | 0.263861i | −0.809442 | − | 0.587200i | \(-0.800230\pi\) |
0.525068 | + | 0.851060i | \(0.324040\pi\) | |||||||
\(332\) | −3523.16 | + | 531.031i | −0.582405 | + | 0.0877834i | ||||
\(333\) | −479.966 | + | 3079.35i | −0.0789849 | + | 0.506749i | ||||
\(334\) | 68.6984 | − | 455.784i | 0.0112545 | − | 0.0746688i | ||||
\(335\) | 4027.38 | − | 1939.48i | 0.656833 | − | 0.316314i | ||||
\(336\) | 5543.83 | + | 2150.13i | 0.900121 | + | 0.349105i | ||||
\(337\) | 3315.98 | + | 1596.89i | 0.536002 | + | 0.258125i | 0.682245 | − | 0.731124i | \(-0.261004\pi\) |
−0.146243 | + | 0.989249i | \(0.546718\pi\) | |||||||
\(338\) | −78.1691 | + | 114.653i | −0.0125794 | + | 0.0184506i | ||||
\(339\) | 4721.74 | + | 1665.53i | 0.756488 | + | 0.266841i | ||||
\(340\) | 910.661 | − | 12151.9i | 0.145257 | − | 1.93833i | ||||
\(341\) | −383.659 | + | 977.547i | −0.0609276 | + | 0.155241i | ||||
\(342\) | −610.157 | + | 651.005i | −0.0964722 | + | 0.102931i | ||||
\(343\) | 4578.97 | + | 4403.03i | 0.720819 | + | 0.693123i | ||||
\(344\) | 1594.59i | 0.249926i | ||||||||
\(345\) | 93.6575 | + | 2683.37i | 0.0146155 | + | 0.418747i | ||||
\(346\) | 1242.70 | + | 93.1272i | 0.193086 | + | 0.0144698i | ||||
\(347\) | 3000.41 | − | 3233.67i | 0.464180 | − | 0.500267i | −0.456966 | − | 0.889484i | \(-0.651064\pi\) |
0.921146 | + | 0.389217i | \(0.127254\pi\) | |||||||
\(348\) | −10407.4 | − | 1996.28i | −1.60315 | − | 0.307505i | ||||
\(349\) | −1517.20 | + | 3150.50i | −0.232705 | + | 0.483217i | −0.984322 | − | 0.176384i | \(-0.943560\pi\) |
0.751617 | + | 0.659600i | \(0.229274\pi\) | |||||||
\(350\) | 816.523 | + | 805.930i | 0.124700 | + | 0.123082i | ||||
\(351\) | 755.006 | + | 7187.10i | 0.114813 | + | 1.09293i | ||||
\(352\) | 1549.82 | + | 233.598i | 0.234676 | + | 0.0353717i | ||||
\(353\) | −4104.36 | + | 2798.30i | −0.618846 | + | 0.421922i | −0.831750 | − | 0.555151i | \(-0.812660\pi\) |
0.212903 | + | 0.977073i | \(0.431708\pi\) | |||||||
\(354\) | −703.336 | + | 439.475i | −0.105598 | + | 0.0659826i | ||||
\(355\) | −3880.17 | − | 4181.83i | −0.580108 | − | 0.625208i | ||||
\(356\) | −5128.16 | − | 6430.50i | −0.763460 | − | 0.957348i | ||||
\(357\) | −5539.75 | + | 6018.74i | −0.821273 | + | 0.892284i | ||||
\(358\) | −350.057 | + | 438.958i | −0.0516791 | + | 0.0648035i | ||||
\(359\) | −3152.26 | + | 236.229i | −0.463426 | + | 0.0347290i | −0.304398 | − | 0.952545i | \(-0.598455\pi\) |
−0.159028 | + | 0.987274i | \(0.550836\pi\) | |||||||
\(360\) | −1173.77 | − | 2056.81i | −0.171841 | − | 0.301121i | ||||
\(361\) | 2473.90 | − | 4284.92i | 0.360680 | − | 0.624715i | ||||
\(362\) | 207.359 | + | 359.156i | 0.0301064 | + | 0.0521459i | ||||
\(363\) | −2462.32 | + | 1807.74i | −0.356028 | + | 0.261382i | ||||
\(364\) | 5685.58 | − | 4957.81i | 0.818696 | − | 0.713901i | ||||
\(365\) | 4996.51 | + | 1140.42i | 0.716518 | + | 0.163541i | ||||
\(366\) | 706.185 | + | 824.782i | 0.100855 | + | 0.117793i | ||||
\(367\) | 5926.58 | − | 2326.01i | 0.842956 | − | 0.330836i | 0.0957310 | − | 0.995407i | \(-0.469481\pi\) |
0.747225 | + | 0.664572i | \(0.231386\pi\) | |||||||
\(368\) | −1639.35 | + | 643.397i | −0.232220 | + | 0.0911396i | ||||
\(369\) | 5473.16 | − | 11220.6i | 0.772144 | − | 1.58299i | ||||
\(370\) | −620.477 | − | 141.620i | −0.0871812 | − | 0.0198985i | ||||
\(371\) | −239.419 | − | 5446.71i | −0.0335041 | − | 0.762207i | ||||
\(372\) | 936.718 | + | 1275.90i | 0.130555 | + | 0.177829i | ||||
\(373\) | 2671.45 | + | 4627.08i | 0.370837 | + | 0.642309i | 0.989695 | − | 0.143194i | \(-0.0457374\pi\) |
−0.618857 | + | 0.785503i | \(0.712404\pi\) | |||||||
\(374\) | −352.359 | + | 610.304i | −0.0487168 | + | 0.0843799i | ||||
\(375\) | 811.473 | + | 7368.28i | 0.111745 | + | 1.01466i | ||||
\(376\) | 894.332 | − | 67.0209i | 0.122664 | − | 0.00919239i | ||||
\(377\) | −8283.02 | + | 10386.6i | −1.13156 | + | 1.41893i | ||||
\(378\) | −118.561 | + | 781.272i | −0.0161326 | + | 0.106308i | ||||
\(379\) | 471.925 | + | 591.775i | 0.0639608 | + | 0.0802043i | 0.812783 | − | 0.582567i | \(-0.197952\pi\) |
−0.748822 | + | 0.662771i | \(0.769380\pi\) | |||||||
\(380\) | 10595.4 | + | 11419.1i | 1.43035 | + | 1.54155i | ||||
\(381\) | −5752.46 | − | 9206.23i | −0.773510 | − | 1.23792i | ||||
\(382\) | −529.010 | + | 360.673i | −0.0708548 | + | 0.0483080i | ||||
\(383\) | 813.016 | + | 122.542i | 0.108468 | + | 0.0163489i | 0.203052 | − | 0.979168i | \(-0.434914\pi\) |
−0.0945840 | + | 0.995517i | \(0.530152\pi\) | |||||||
\(384\) | 2056.46 | − | 2377.55i | 0.273290 | − | 0.315960i | ||||
\(385\) | 3079.44 | + | 8619.61i | 0.407644 | + | 1.14103i | ||||
\(386\) | 566.443 | − | 1176.23i | 0.0746922 | − | 0.155100i | ||||
\(387\) | 8686.03 | − | 1936.69i | 1.14092 | − | 0.254386i | ||||
\(388\) | −1155.41 | + | 1245.23i | −0.151178 | + | 0.162931i | ||||
\(389\) | 2861.94 | + | 214.473i | 0.373024 | + | 0.0279542i | 0.259923 | − | 0.965629i | \(-0.416303\pi\) |
0.113100 | + | 0.993584i | \(0.463922\pi\) | |||||||
\(390\) | −1474.87 | + | 51.4773i | −0.191495 | + | 0.00668373i | ||||
\(391\) | − | 2422.71i | − | 0.313354i | ||||||
\(392\) | 1485.53 | − | 739.444i | 0.191405 | − | 0.0952743i | ||||
\(393\) | −3245.66 | − | 7490.39i | −0.416595 | − | 0.961425i | ||||
\(394\) | 301.684 | − | 768.678i | 0.0385752 | − | 0.0982879i | ||||
\(395\) | 143.245 | − | 1911.47i | 0.0182466 | − | 0.243484i | ||||
\(396\) | −405.788 | − | 5806.01i | −0.0514940 | − | 0.736776i | ||||
\(397\) | −7369.60 | + | 10809.2i | −0.931661 | + | 1.36650i | −0.00124201 | + | 0.999999i | \(0.500395\pi\) |
−0.930419 | + | 0.366497i | \(0.880557\pi\) | |||||||
\(398\) | 257.767 | + | 124.134i | 0.0324641 | + | 0.0156339i | ||||
\(399\) | −823.316 | − | 10424.2i | −0.103302 | − | 1.30793i | ||||
\(400\) | −11339.3 | + | 5460.70i | −1.41741 | + | 0.682588i | ||||
\(401\) | 1239.19 | − | 8221.46i | 0.154319 | − | 1.02384i | −0.768845 | − | 0.639435i | \(-0.779168\pi\) |
0.923164 | − | 0.384406i | \(-0.125594\pi\) | |||||||
\(402\) | −208.125 | + | 329.390i | −0.0258217 | + | 0.0408669i | ||||
\(403\) | 1962.13 | − | 295.743i | 0.242532 | − | 0.0365559i | ||||
\(404\) | 6808.97 | − | 6317.80i | 0.838512 | − | 0.778025i | ||||
\(405\) | −9778.26 | + | 8891.80i | −1.19972 | + | 1.09096i | ||||
\(406\) | −1163.16 | + | 870.240i | −0.142184 | + | 0.106378i | ||||
\(407\) | −2460.10 | − | 1961.87i | −0.299614 | − | 0.238934i | ||||
\(408\) | 993.720 | + | 1891.69i | 0.120580 | + | 0.229541i | ||||
\(409\) | 2354.98 | − | 7634.66i | 0.284710 | − | 0.923006i | −0.694385 | − | 0.719603i | \(-0.744324\pi\) |
0.979095 | − | 0.203403i | \(-0.0652002\pi\) | |||||||
\(410\) | 2207.89 | + | 1274.72i | 0.265950 | + | 0.153547i | ||||
\(411\) | −2559.24 | − | 1898.75i | −0.307148 | − | 0.227879i | ||||
\(412\) | 5143.75 | − | 1174.03i | 0.615083 | − | 0.140389i | ||||
\(413\) | 1744.60 | − | 9561.76i | 0.207860 | − | 1.13923i | ||||
\(414\) | −130.866 | − | 194.032i | −0.0155355 | − | 0.0230342i | ||||
\(415\) | −7805.96 | + | 2407.82i | −0.923324 | + | 0.284808i | ||||
\(416\) | −1081.97 | − | 2756.83i | −0.127520 | − | 0.324915i | ||||
\(417\) | 8871.96 | + | 8916.63i | 1.04188 | + | 1.04712i | ||||
\(418\) | −265.530 | − | 860.828i | −0.0310706 | − | 0.100728i | ||||
\(419\) | −1920.25 | + | 8413.15i | −0.223891 | + | 0.980929i | 0.730627 | + | 0.682776i | \(0.239228\pi\) |
−0.954518 | + | 0.298153i | \(0.903629\pi\) | |||||||
\(420\) | 13462.6 | + | 3015.89i | 1.56406 | + | 0.350382i | ||||
\(421\) | −2929.31 | − | 12834.1i | −0.339111 | − | 1.48574i | −0.800925 | − | 0.598764i | \(-0.795659\pi\) |
0.461815 | − | 0.886977i | \(-0.347199\pi\) | |||||||
\(422\) | −355.691 | + | 205.358i | −0.0410302 | + | 0.0236888i | ||||
\(423\) | −1451.27 | − | 4790.20i | −0.166816 | − | 0.550609i | ||||
\(424\) | −1360.90 | − | 419.781i | −0.155875 | − | 0.0480811i | ||||
\(425\) | −1293.87 | − | 17265.5i | −0.147675 | − | 1.97059i | ||||
\(426\) | 479.983 | + | 129.904i | 0.0545897 | + | 0.0147743i | ||||
\(427\) | −12719.1 | − | 392.780i | −1.44150 | − | 0.0445151i | ||||
\(428\) | 2452.28 | − | 1955.63i | 0.276952 | − | 0.220862i | ||||
\(429\) | −6680.21 | − | 2934.54i | −0.751804 | − | 0.330258i | ||||
\(430\) | 270.862 | + | 1797.05i | 0.0303770 | + | 0.201539i | ||||
\(431\) | 7951.76 | + | 11663.1i | 0.888684 | + | 1.30346i | 0.952199 | + | 0.305479i | \(0.0988167\pi\) |
−0.0635146 | + | 0.997981i | \(0.520231\pi\) | |||||||
\(432\) | −7633.42 | − | 4108.24i | −0.850146 | − | 0.457541i | ||||
\(433\) | 2570.16 | + | 5336.99i | 0.285251 | + | 0.592331i | 0.993526 | − | 0.113607i | \(-0.0362403\pi\) |
−0.708274 | + | 0.705937i | \(0.750526\pi\) | |||||||
\(434\) | 215.767 | + | 22.8856i | 0.0238644 | + | 0.00253121i | ||||
\(435\) | −24277.1 | − | 969.438i | −2.67585 | − | 0.106853i | ||||
\(436\) | −8430.60 | − | 5747.89i | −0.926038 | − | 0.631362i | ||||
\(437\) | 2270.24 | + | 2106.48i | 0.248513 | + | 0.230587i | ||||
\(438\) | −422.022 | + | 146.484i | −0.0460388 | + | 0.0159800i | ||||
\(439\) | −122.752 | − | 48.1768i | −0.0133455 | − | 0.00523771i | 0.358659 | − | 0.933469i | \(-0.383234\pi\) |
−0.372004 | + | 0.928231i | \(0.621329\pi\) | |||||||
\(440\) | 2391.01 | 0.259061 | ||||||||
\(441\) | −5832.13 | − | 7193.91i | −0.629751 | − | 0.776797i | ||||
\(442\) | 1331.60 | 0.143298 | ||||||||
\(443\) | −8415.92 | − | 3303.01i | −0.902602 | − | 0.354245i | −0.131767 | − | 0.991281i | \(-0.542065\pi\) |
−0.770834 | + | 0.637036i | \(0.780160\pi\) | |||||||
\(444\) | −4480.51 | + | 1555.18i | −0.478909 | + | 0.166229i | ||||
\(445\) | −13823.5 | − | 12826.4i | −1.47258 | − | 1.36635i | ||||
\(446\) | −414.172 | − | 282.378i | −0.0439723 | − | 0.0299798i | ||||
\(447\) | −16875.5 | − | 673.876i | −1.78564 | − | 0.0713048i | ||||
\(448\) | 1046.02 | + | 8768.74i | 0.110312 | + | 0.924741i | ||||
\(449\) | −4736.96 | − | 9836.41i | −0.497887 | − | 1.03387i | −0.986861 | − | 0.161574i | \(-0.948343\pi\) |
0.488974 | − | 0.872298i | \(-0.337371\pi\) | |||||||
\(450\) | −1036.25 | − | 1312.89i | −0.108554 | − | 0.137533i | ||||
\(451\) | 7100.49 | + | 10414.5i | 0.741351 | + | 1.08736i | ||||
\(452\) | 1135.62 | + | 7534.36i | 0.118175 | + | 0.784041i | ||||
\(453\) | −1830.80 | − | 804.249i | −0.189886 | − | 0.0834148i | ||||
\(454\) | −1077.27 | + | 859.093i | −0.111363 | + | 0.0888088i | ||||
\(455\) | 11195.7 | − | 13182.8i | 1.15355 | − | 1.35828i | ||||
\(456\) | −2636.66 | − | 713.591i | −0.270774 | − | 0.0732829i | ||||
\(457\) | 295.389 | + | 3941.69i | 0.0302357 | + | 0.403467i | 0.991703 | + | 0.128548i | \(0.0410318\pi\) |
−0.961468 | + | 0.274918i | \(0.911349\pi\) | |||||||
\(458\) | 1636.47 | + | 504.784i | 0.166959 | + | 0.0515000i | ||||
\(459\) | 9097.51 | − | 7710.51i | 0.925131 | − | 0.784087i | ||||
\(460\) | −3538.62 | + | 2043.02i | −0.358671 | + | 0.207079i | ||||
\(461\) | 1744.77 | + | 7644.33i | 0.176273 | + | 0.772304i | 0.983330 | + | 0.181830i | \(0.0582020\pi\) |
−0.807057 | + | 0.590474i | \(0.798941\pi\) | |||||||
\(462\) | −625.769 | − | 494.934i | −0.0630160 | − | 0.0498408i | ||||
\(463\) | 1412.24 | − | 6187.44i | 0.141755 | − | 0.621068i | −0.853272 | − | 0.521465i | \(-0.825386\pi\) |
0.995027 | − | 0.0996030i | \(-0.0317573\pi\) | |||||||
\(464\) | −4697.20 | − | 15227.9i | −0.469961 | − | 1.52358i | ||||
\(465\) | 2559.65 | + | 2572.53i | 0.255270 | + | 0.256556i | ||||
\(466\) | −64.6292 | − | 164.673i | −0.00642466 | − | 0.0163698i | ||||
\(467\) | −1219.35 | + | 376.119i | −0.120824 | + | 0.0372692i | −0.354577 | − | 0.935027i | \(-0.615375\pi\) |
0.233754 | + | 0.972296i | \(0.424899\pi\) | |||||||
\(468\) | −9117.57 | + | 6149.41i | −0.900555 | + | 0.607385i | ||||
\(469\) | −1210.62 | − | 4402.93i | −0.119193 | − | 0.433493i | ||||
\(470\) | 996.500 | − | 227.445i | 0.0977981 | − | 0.0223218i | ||||
\(471\) | 10575.6 | + | 7846.26i | 1.03460 | + | 0.767594i | ||||
\(472\) | −2198.81 | − | 1269.48i | −0.214425 | − | 0.123798i | ||||
\(473\) | −2648.42 | + | 8585.98i | −0.257452 | + | 0.834638i | ||||
\(474\) | 77.7003 | + | 147.914i | 0.00752931 | + | 0.0143332i | ||||
\(475\) | 17304.0 | + | 13799.4i | 1.67149 | + | 1.33297i | ||||
\(476\) | −12045.1 | − | 3143.33i | −1.15984 | − | 0.302677i | ||||
\(477\) | −633.770 | + | 7922.91i | −0.0608351 | + | 0.760514i | ||||
\(478\) | −37.1911 | + | 34.5083i | −0.00355875 | + | 0.00330203i | ||||
\(479\) | 1127.14 | − | 169.888i | 0.107516 | − | 0.0162054i | −0.0950639 | − | 0.995471i | \(-0.530306\pi\) |
0.202580 | + | 0.979266i | \(0.435067\pi\) | |||||||
\(480\) | 2893.14 | − | 4578.85i | 0.275111 | − | 0.435406i | ||||
\(481\) | −886.152 | + | 5879.23i | −0.0840022 | + | 0.557318i | ||||
\(482\) | −310.784 | + | 149.666i | −0.0293689 | + | 0.0141433i | ||||
\(483\) | 2713.82 | + | 397.899i | 0.255659 | + | 0.0374846i | ||||
\(484\) | −4188.22 | − | 2016.94i | −0.393334 | − | 0.189420i | ||||
\(485\) | −2193.93 | + | 3217.91i | −0.205405 | + | 0.301274i | ||||
\(486\) | 312.115 | − | 1108.94i | 0.0291313 | − | 0.103503i | ||||
\(487\) | −1021.87 | + | 13635.9i | −0.0950831 | + | 1.26880i | 0.721845 | + | 0.692055i | \(0.243295\pi\) |
−0.816928 | + | 0.576740i | \(0.804325\pi\) | |||||||
\(488\) | −1214.42 | + | 3094.29i | −0.112652 | + | 0.287033i | ||||
\(489\) | 784.068 | + | 1809.49i | 0.0725088 | + | 0.167337i | ||||
\(490\) | 1548.55 | − | 1085.67i | 0.142768 | − | 0.100093i | ||||
\(491\) | 11454.5i | 1.05282i | 0.850231 | + | 0.526410i | \(0.176462\pi\) | ||||
−0.850231 | + | 0.526410i | \(0.823538\pi\) | |||||||
\(492\) | 18987.1 | − | 662.704i | 1.73984 | − | 0.0607256i | ||||
\(493\) | 21861.6 | + | 1638.30i | 1.99715 | + | 0.149666i | ||||
\(494\) | −1157.79 | + | 1247.80i | −0.105448 | + | 0.113646i | ||||
\(495\) | −2903.96 | − | 13024.3i | −0.263684 | − | 1.18262i | ||||
\(496\) | −1032.75 | + | 2144.54i | −0.0934920 | + | 0.194138i | ||||
\(497\) | −4913.99 | + | 3132.60i | −0.443506 | + | 0.282729i | ||||
\(498\) | 465.810 | − | 538.540i | 0.0419146 | − | 0.0484589i | ||||
\(499\) | −17602.4 | − | 2653.13i | −1.57914 | − | 0.238017i | −0.699844 | − | 0.714296i | \(-0.746747\pi\) |
−0.879294 | + | 0.476279i | \(0.841985\pi\) | |||||||
\(500\) | −9320.67 | + | 6354.73i | −0.833666 | + | 0.568384i | ||||
\(501\) | −4173.14 | − | 6678.68i | −0.372140 | − | 0.595572i | ||||
\(502\) | 850.887 | + | 917.038i | 0.0756513 | + | 0.0815327i | ||||
\(503\) | 705.338 | + | 884.466i | 0.0625238 | + | 0.0784024i | 0.812110 | − | 0.583504i | \(-0.198319\pi\) |
−0.749586 | + | 0.661907i | \(0.769747\pi\) | |||||||
\(504\) | −2282.21 | + | 802.440i | −0.201702 | + | 0.0709197i | ||||
\(505\) | 13277.9 | − | 16649.9i | 1.17001 | − | 1.46715i | ||||
\(506\) | 235.636 | − | 17.6585i | 0.0207022 | − | 0.00155141i | ||||
\(507\) | 259.537 | + | 2356.63i | 0.0227346 | + | 0.206433i | ||||
\(508\) | 8260.08 | − | 14306.9i | 0.721421 | − | 1.24954i | ||||
\(509\) | 10834.9 | + | 18766.6i | 0.943513 | + | 1.63421i | 0.758702 | + | 0.651438i | \(0.225834\pi\) |
0.184810 | + | 0.982774i | \(0.440833\pi\) | |||||||
\(510\) | 1441.22 | + | 1963.08i | 0.125134 | + | 0.170445i | ||||
\(511\) | 2062.22 | − | 4812.12i | 0.178527 | − | 0.416587i | ||||
\(512\) | 5794.91 | + | 1322.65i | 0.500198 | + | 0.114167i | ||||
\(513\) | −684.754 | + | 15229.1i | −0.0589330 | + | 1.31068i | ||||
\(514\) | −807.854 | + | 317.059i | −0.0693248 | + | 0.0272080i | ||||
\(515\) | 11260.3 | − | 4419.34i | 0.963473 | − | 0.378135i | ||||
\(516\) | 8808.12 | + | 10287.4i | 0.751465 | + | 0.877666i | ||||
\(517\) | 4926.79 | + | 1124.51i | 0.419111 | + | 0.0956593i | ||||
\(518\) | −256.091 | + | 597.580i | −0.0217220 | + | 0.0506876i | ||||
\(519\) | 17162.9 | − | 12600.4i | 1.45158 | − | 1.06569i | ||||
\(520\) | −2258.96 | − | 3912.64i | −0.190504 | − | 0.329962i | ||||
\(521\) | −8883.34 | + | 15386.4i | −0.746999 | + | 1.29384i | 0.202256 | + | 0.979333i | \(0.435173\pi\) |
−0.949255 | + | 0.314507i | \(0.898161\pi\) | |||||||
\(522\) | 1839.37 | − | 1049.68i | 0.154228 | − | 0.0880136i | ||||
\(523\) | −2743.26 | + | 205.579i | −0.229358 | + | 0.0171880i | −0.188913 | − | 0.981994i | \(-0.560496\pi\) |
−0.0404447 | + | 0.999182i | \(0.512877\pi\) | |||||||
\(524\) | 7745.60 | − | 9712.68i | 0.645741 | − | 0.809734i | ||||
\(525\) | 19552.7 | + | 1386.30i | 1.62543 | + | 0.115244i | ||||
\(526\) | −623.823 | − | 782.249i | −0.0517110 | − | 0.0648435i | ||||
\(527\) | −2227.22 | − | 2400.37i | −0.184097 | − | 0.198410i | ||||
\(528\) | 7422.48 | − | 4637.90i | 0.611784 | − | 0.382270i | ||||
\(529\) | 9381.65 | − | 6396.30i | 0.771074 | − | 0.525709i | ||||
\(530\) | −1604.99 | − | 241.914i | −0.131541 | − | 0.0198266i | ||||
\(531\) | −4244.59 | + | 13519.2i | −0.346892 | + | 1.10486i | ||||
\(532\) | 13418.4 | − | 8554.03i | 1.09354 | − | 0.697113i | ||||
\(533\) | 10333.9 | − | 21458.6i | 0.839797 | − | 1.74386i | ||||
\(534\) | 1614.29 | + | 309.641i | 0.130819 | + | 0.0250927i | ||||
\(535\) | 4891.35 | − | 5271.62i | 0.395274 | − | 0.426004i | ||||
\(536\) | −1189.49 | − | 89.1398i | −0.0958546 | − | 0.00718331i | ||||
\(537\) | 334.608 | + | 9586.81i | 0.0268890 | + | 0.770393i | ||||
\(538\) | 130.442i | 0.0104531i | ||||||||
\(539\) | 9226.91 | − | 1514.20i | 0.737349 | − | 0.121004i | ||||
\(540\) | −18933.8 | − | 6785.74i | −1.50885 | − | 0.540762i | ||||
\(541\) | −5060.73 | + | 12894.5i | −0.402177 | + | 1.02473i | 0.576091 | + | 0.817386i | \(0.304577\pi\) |
−0.978268 | + | 0.207345i | \(0.933518\pi\) | |||||||
\(542\) | 11.8573 | − | 158.225i | 0.000939696 | − | 0.0125394i | ||||
\(543\) | 6682.14 | + | 2357.03i | 0.528100 | + | 0.186280i | ||||
\(544\) | −2753.04 | + | 4037.96i | −0.216977 | + | 0.318247i | ||||
\(545\) | −21077.3 | − | 10150.3i | −1.65661 | − | 0.797782i | ||||
\(546\) | −218.699 | + | 1491.61i | −0.0171419 | + | 0.116914i | ||||
\(547\) | −9067.68 | + | 4366.77i | −0.708786 | + | 0.341334i | −0.753302 | − | 0.657675i | \(-0.771540\pi\) |
0.0445153 | + | 0.999009i | \(0.485826\pi\) | |||||||
\(548\) | 722.780 | − | 4795.33i | 0.0563424 | − | 0.373808i | ||||
\(549\) | 18330.2 | + | 2857.05i | 1.42498 | + | 0.222106i | ||||
\(550\) | 1669.84 | − | 251.688i | 0.129458 | − | 0.0195127i | ||||
\(551\) | −20543.2 | + | 19061.3i | −1.58833 | + | 1.47376i | ||||
\(552\) | 336.382 | − | 632.615i | 0.0259372 | − | 0.0487788i | ||||
\(553\) | −1894.66 | − | 494.438i | −0.145695 | − | 0.0380210i | ||||
\(554\) | −693.057 | − | 552.695i | −0.0531502 | − | 0.0423858i | ||||
\(555\) | −9626.42 | + | 5056.83i | −0.736250 | + | 0.386758i | ||||
\(556\) | −5642.18 | + | 18291.5i | −0.430363 | + | 1.39520i | ||||
\(557\) | −21167.4 | − | 12221.0i | −1.61022 | − | 0.929658i | −0.989319 | − | 0.145765i | \(-0.953436\pi\) |
−0.620896 | − | 0.783893i | \(-0.713231\pi\) | |||||||
\(558\) | −308.035 | − | 71.9365i | −0.0233695 | − | 0.00545756i | ||||
\(559\) | 16552.2 | − | 3777.94i | 1.25239 | − | 0.285850i | ||||
\(560\) | 5500.35 | + | 20004.3i | 0.415057 | + | 1.50953i | ||||
\(561\) | 2208.75 | + | 11836.2i | 0.166227 | + | 0.890773i | ||||
\(562\) | −1441.02 | + | 444.497i | −0.108160 | + | 0.0333629i | ||||
\(563\) | 3302.37 | + | 8414.30i | 0.247208 | + | 0.629876i | 0.999584 | − | 0.0288583i | \(-0.00918717\pi\) |
−0.752375 | + | 0.658735i | \(0.771092\pi\) | |||||||
\(564\) | 5399.50 | − | 5372.45i | 0.403120 | − | 0.401101i | ||||
\(565\) | 5149.18 | + | 16693.2i | 0.383412 | + | 1.24299i | ||||
\(566\) | 589.261 | − | 2581.72i | 0.0437606 | − | 0.191728i | ||||
\(567\) | 7142.87 | + | 11457.0i | 0.529052 | + | 0.848590i | ||||
\(568\) | 338.740 | + | 1484.12i | 0.0250233 | + | 0.109634i | ||||
\(569\) | −4099.82 | + | 2367.03i | −0.302062 | + | 0.174396i | −0.643369 | − | 0.765556i | \(-0.722464\pi\) |
0.341307 | + | 0.939952i | \(0.389131\pi\) | |||||||
\(570\) | −3092.64 | − | 356.324i | −0.227257 | − | 0.0261838i | ||||
\(571\) | 10214.1 | + | 3150.65i | 0.748597 | + | 0.230912i | 0.645500 | − | 0.763760i | \(-0.276649\pi\) |
0.103096 | + | 0.994671i | \(0.467125\pi\) | |||||||
\(572\) | −829.773 | − | 11072.5i | −0.0606548 | − | 0.809382i | ||||
\(573\) | −2857.81 | + | 10559.4i | −0.208354 | + | 0.769849i | ||||
\(574\) | 1685.87 | − | 1985.08i | 0.122590 | − | 0.144348i | ||||
\(575\) | −4538.90 | + | 3619.65i | −0.329191 | + | 0.262521i | ||||
\(576\) | 64.6582 | − | 12874.1i | 0.00467724 | − | 0.931286i | ||||
\(577\) | −396.208 | − | 2628.67i | −0.0285864 | − | 0.189659i | 0.969980 | − | 0.243185i | \(-0.0781921\pi\) |
−0.998566 | + | 0.0535261i | \(0.982954\pi\) | |||||||
\(578\) | −396.153 | − | 581.050i | −0.0285083 | − | 0.0418140i | ||||
\(579\) | −5718.96 | − | 21559.9i | −0.410487 | − | 1.54749i | ||||
\(580\) | −16042.5 | − | 33312.7i | −1.14850 | − | 2.38489i | ||||
\(581\) | 988.442 | + | 8286.09i | 0.0705808 | + | 0.591678i | ||||
\(582\) | 13.5453 | − | 339.208i | 0.000964729 | − | 0.0241591i | ||||
\(583\) | −6630.47 | − | 4520.58i | −0.471022 | − | 0.321138i | ||||
\(584\) | −1002.52 | − | 930.200i | −0.0710351 | − | 0.0659109i | ||||
\(585\) | −18569.3 | + | 17057.0i | −1.31239 | + | 1.20551i | ||||
\(586\) | −288.696 | − | 113.305i | −0.0203514 | − | 0.00798735i | ||||
\(587\) | 20847.9 | 1.46590 | 0.732951 | − | 0.680281i | \(-0.238142\pi\) | ||||
0.732951 | + | 0.680281i | \(0.238142\pi\) | |||||||
\(588\) | 5499.30 | − | 12976.2i | 0.385693 | − | 0.910083i | ||||
\(589\) | 4185.82 | 0.292824 | ||||||||
\(590\) | −2693.63 | − | 1057.17i | −0.187958 | − | 0.0737680i | ||||
\(591\) | −4626.30 | − | 13328.5i | −0.321998 | − | 0.927682i | ||||
\(592\) | −5228.19 | − | 4851.05i | −0.362968 | − | 0.336786i | ||||
\(593\) | 21722.3 | + | 14810.0i | 1.50426 | + | 1.02559i | 0.985308 | + | 0.170785i | \(0.0546302\pi\) |
0.518952 | + | 0.854803i | \(0.326322\pi\) | |||||||
\(594\) | 816.245 | + | 828.637i | 0.0563820 | + | 0.0572380i | ||||
\(595\) | −28381.8 | − | 3010.35i | −1.95553 | − | 0.207416i | ||||
\(596\) | −11151.5 | − | 23156.3i | −0.766414 | − | 1.59148i | ||||
\(597\) | 4724.77 | − | 1253.29i | 0.323906 | − | 0.0859192i | ||||
\(598\) | −251.519 | − | 368.911i | −0.0171996 | − | 0.0252272i | ||||
\(599\) | 4162.63 | + | 27617.2i | 0.283940 | + | 1.88382i | 0.442952 | + | 0.896545i | \(0.353931\pi\) |
−0.159012 | + | 0.987277i | \(0.550831\pi\) | |||||||
\(600\) | 2059.38 | − | 4688.00i | 0.140123 | − | 0.318978i | ||||
\(601\) | −10898.3 | + | 8691.11i | −0.739686 | + | 0.589880i | −0.919161 | − | 0.393883i | \(-0.871132\pi\) |
0.179475 | + | 0.983763i | \(0.442560\pi\) | |||||||
\(602\) | 1855.61 | + | 57.3034i | 0.125630 | + | 0.00387959i | ||||
\(603\) | 959.114 | + | 6587.63i | 0.0647731 | + | 0.444891i | ||||
\(604\) | −227.410 | − | 3034.58i | −0.0153198 | − | 0.204429i | ||||
\(605\) | −10184.4 | − | 3141.48i | −0.684389 | − | 0.211106i | ||||
\(606\) | −212.468 | + | 1844.07i | −0.0142425 | + | 0.123615i | ||||
\(607\) | −6202.40 | + | 3580.96i | −0.414741 | + | 0.239451i | −0.692825 | − | 0.721106i | \(-0.743634\pi\) |
0.278084 | + | 0.960557i | \(0.410301\pi\) | |||||||
\(608\) | −1390.16 | − | 6090.68i | −0.0927276 | − | 0.406266i | ||||
\(609\) | −5425.65 | + | 24219.4i | −0.361016 | + | 1.61153i | ||||
\(610\) | −843.007 | + | 3693.46i | −0.0559547 | + | 0.245154i | ||||
\(611\) | −2814.57 | − | 9124.60i | −0.186359 | − | 0.604160i | ||||
\(612\) | 16860.1 | + | 6715.03i | 1.11361 | + | 0.443528i | ||||
\(613\) | −2799.55 | − | 7133.13i | −0.184458 | − | 0.469991i | 0.808495 | − | 0.588504i | \(-0.200283\pi\) |
−0.992953 | + | 0.118512i | \(0.962187\pi\) | |||||||
\(614\) | −1169.44 | + | 360.723i | −0.0768641 | + | 0.0237094i | ||||
\(615\) | 42819.5 | − | 7990.56i | 2.80756 | − | 0.523919i | ||||
\(616\) | 438.412 | − | 2402.84i | 0.0286756 | − | 0.157164i | ||||
\(617\) | 255.218 | − | 58.2520i | 0.0166527 | − | 0.00380087i | −0.214186 | − | 0.976793i | \(-0.568710\pi\) |
0.230839 | + | 0.972992i | \(0.425853\pi\) | |||||||
\(618\) | −628.248 | + | 846.788i | −0.0408930 | + | 0.0551178i | ||||
\(619\) | −3455.35 | − | 1994.94i | −0.224365 | − | 0.129537i | 0.383605 | − | 0.923497i | \(-0.374683\pi\) |
−0.607970 | + | 0.793960i | \(0.708016\pi\) | |||||||
\(620\) | −1627.82 | + | 5277.27i | −0.105443 | + | 0.341839i | ||||
\(621\) | −3854.52 | − | 1064.00i | −0.249077 | − | 0.0687552i | ||||
\(622\) | −1988.09 | − | 1585.45i | −0.128160 | − | 0.102204i | ||||
\(623\) | −15424.5 | + | 11540.1i | −0.991926 | + | 0.742126i | ||||
\(624\) | −14602.0 | − | 7764.37i | −0.936777 | − | 0.498115i | ||||
\(625\) | −295.326 | + | 274.023i | −0.0189009 | + | 0.0175375i | ||||
\(626\) | 710.669 | − | 107.116i | 0.0453738 | − | 0.00683901i | ||||
\(627\) | −13011.7 | − | 8221.47i | −0.828771 | − | 0.523659i | ||||
\(628\) | −2986.77 | + | 19815.9i | −0.189785 | + | 1.25914i | ||||
\(629\) | 8839.89 | − | 4257.07i | 0.560365 | − | 0.269857i | ||||
\(630\) | −2435.67 | + | 1291.99i | −0.154031 | + | 0.0817048i | ||||
\(631\) | 18903.1 | + | 9103.27i | 1.19259 | + | 0.574319i | 0.921554 | − | 0.388251i | \(-0.126921\pi\) |
0.271033 | + | 0.962570i | \(0.412635\pi\) | |||||||
\(632\) | −288.138 | + | 422.621i | −0.0181353 | + | 0.0265996i | ||||
\(633\) | −2334.30 | + | 6617.68i | −0.146572 | + | 0.415528i | ||||
\(634\) | 33.2422 | − | 443.586i | 0.00208236 | − | 0.0277872i | ||||
\(635\) | 13837.7 | − | 35258.0i | 0.864778 | − | 2.20342i | ||||
\(636\) | −11098.5 | + | 4809.08i | −0.691955 | + | 0.299831i | ||||
\(637\) | −11195.2 | − | 13668.3i | −0.696341 | − | 0.850171i | ||||
\(638\) | 2138.23i | 0.132685i | ||||||||
\(639\) | 7672.86 | − | 3647.70i | 0.475013 | − | 0.225823i | ||||
\(640\) | 10937.3 | + | 819.639i | 0.675525 | + | 0.0506236i | ||||
\(641\) | 13952.8 | − | 15037.6i | 0.859757 | − | 0.926598i | −0.138205 | − | 0.990404i | \(-0.544133\pi\) |
0.997962 | + | 0.0638058i | \(0.0203238\pi\) | |||||||
\(642\) | −118.082 | + | 615.611i | −0.00725907 | + | 0.0378446i | ||||
\(643\) | −7340.55 | + | 15242.8i | −0.450207 | + | 0.934865i | 0.545125 | + | 0.838355i | \(0.316482\pi\) |
−0.995332 | + | 0.0965099i | \(0.969232\pi\) | |||||||
\(644\) | 1404.29 | + | 3930.73i | 0.0859269 | + | 0.240516i | ||||
\(645\) | 23484.4 | + | 20312.8i | 1.43364 | + | 1.24003i | ||||
\(646\) | 2777.61 | + | 418.657i | 0.169170 | + | 0.0254982i | ||||
\(647\) | 24032.6 | − | 16385.2i | 1.46031 | − | 0.995623i | 0.466502 | − | 0.884520i | \(-0.345514\pi\) |
0.993809 | − | 0.111102i | \(-0.0354382\pi\) | |||||||
\(648\) | 3446.10 | − | 750.215i | 0.208913 | − | 0.0454803i | ||||
\(649\) | −9730.92 | − | 10487.4i | −0.588555 | − | 0.634311i | ||||
\(650\) | −1989.48 | − | 2494.73i | −0.120052 | − | 0.150541i | ||||
\(651\) | 3054.60 | − | 2100.61i | 0.183900 | − | 0.126466i | ||||
\(652\) | −1871.14 | + | 2346.34i | −0.112392 | + | 0.140935i | ||||
\(653\) | −111.166 | + | 8.33075i | −0.00666197 | + | 0.000499245i | −0.0780607 | − | 0.996949i | \(-0.524873\pi\) |
0.0713987 | + | 0.997448i | \(0.477254\pi\) | |||||||
\(654\) | 2026.89 | − | 223.223i | 0.121189 | − | 0.0133466i | ||||
\(655\) | 14241.3 | − | 24666.6i | 0.849545 | − | 1.47146i | ||||
\(656\) | 14285.0 | + | 24742.3i | 0.850206 | + | 1.47260i | ||||
\(657\) | −3849.39 | + | 6590.67i | −0.228583 | + | 0.391365i | ||||
\(658\) | −45.8528 | − | 1043.13i | −0.00271661 | − | 0.0618019i | ||||
\(659\) | −7616.93 | − | 1738.51i | −0.450248 | − | 0.102766i | −0.00861687 | − | 0.999963i | \(-0.502743\pi\) |
−0.441631 | + | 0.897197i | \(0.645600\pi\) | |||||||
\(660\) | 15425.4 | − | 13207.3i | 0.909745 | − | 0.778931i | ||||
\(661\) | −20924.1 | + | 8212.10i | −1.23124 | + | 0.483228i | −0.889660 | − | 0.456623i | \(-0.849059\pi\) |
−0.341585 | + | 0.939851i | \(0.610964\pi\) | |||||||
\(662\) | 661.366 | − | 259.567i | 0.0388289 | − | 0.0152392i | ||||
\(663\) | 17281.9 | − | 14796.9i | 1.01233 | − | 0.866764i | ||||
\(664\) | 2125.19 | + | 485.062i | 0.124207 | + | 0.0283495i | ||||
\(665\) | 27498.1 | − | 23978.2i | 1.60350 | − | 1.39825i | ||||
\(666\) | 478.025 | − | 818.443i | 0.0278125 | − | 0.0476187i | ||||
\(667\) | −3675.44 | − | 6366.05i | −0.213364 | − | 0.369557i | ||||
\(668\) | 5992.30 | − | 10379.0i | 0.347079 | − | 0.601159i | ||||
\(669\) | −8513.07 | + | 937.549i | −0.491979 | + | 0.0541820i | ||||
\(670\) | −1355.66 | + | 101.592i | −0.0781696 | + | 0.00585800i | ||||
\(671\) | −11678.2 | + | 14644.0i | −0.671883 | + | 0.842514i | ||||
\(672\) | −4071.02 | − | 3747.03i | −0.233695 | − | 0.215097i | ||||
\(673\) | 13149.3 | + | 16488.6i | 0.753145 | + | 0.944414i | 0.999695 | − | 0.0247162i | \(-0.00786821\pi\) |
−0.246549 | + | 0.969130i | \(0.579297\pi\) | |||||||
\(674\) | −761.332 | − | 820.521i | −0.0435095 | − | 0.0468921i | ||||
\(675\) | −28037.7 | − | 5524.11i | −1.59877 | − | 0.314997i | ||||
\(676\) | −2981.07 | + | 2032.46i | −0.169610 | + | 0.115638i | ||||
\(677\) | −23396.3 | − | 3526.43i | −1.32820 | − | 0.200195i | −0.553675 | − | 0.832733i | \(-0.686775\pi\) |
−0.774529 | + | 0.632538i | \(0.782013\pi\) | |||||||
\(678\) | −1151.68 | − | 996.146i | −0.0652361 | − | 0.0564259i | ||||
\(679\) | 2831.56 | + | 2794.82i | 0.160037 | + | 0.157961i | ||||
\(680\) | −3234.82 | + | 6717.18i | −0.182426 | + | 0.378812i | ||||
\(681\) | −4434.76 | + | 23120.3i | −0.249545 | + | 1.30099i | ||||
\(682\) | 217.230 | − | 234.118i | 0.0121967 | − | 0.0131449i | ||||
\(683\) | −3940.78 | − | 295.320i | −0.220775 | − | 0.0165448i | −0.0361169 | − | 0.999348i | \(-0.511499\pi\) |
−0.184658 | + | 0.982803i | \(0.559118\pi\) | |||||||
\(684\) | −20951.9 | + | 9960.57i | −1.17122 | + | 0.556801i | ||||
\(685\) | − | 11118.6i | − | 0.620174i | ||||||
\(686\) | −807.100 | − | 1755.28i | −0.0449201 | − | 0.0976921i | ||||
\(687\) | 26847.8 | − | 11633.4i | 1.49099 | − | 0.646059i | ||||
\(688\) | −7440.48 | + | 18958.0i | −0.412305 | + | 1.05054i | ||||
\(689\) | −1133.16 | + | 15121.0i | −0.0626562 | + | 0.836088i | ||||
\(690\) | 271.634 | − | 770.076i | 0.0149868 | − | 0.0424874i | ||||
\(691\) | 10913.7 | − | 16007.4i | 0.600833 | − | 0.881259i | −0.398523 | − | 0.917158i | \(-0.630477\pi\) |
0.999355 | + | 0.0358989i | \(0.0114294\pi\) | |||||||
\(692\) | 29192.9 | + | 14058.6i | 1.60368 | + | 0.772292i | ||||
\(693\) | −13621.2 | + | 530.215i | −0.746646 | + | 0.0290638i | ||||
\(694\) | −1208.72 | + | 582.088i | −0.0661128 | + | 0.0318383i | ||||
\(695\) | −6541.05 | + | 43397.1i | −0.357002 | + | 2.36855i | ||||
\(696\) | 5481.01 | + | 3463.17i | 0.298502 | + | 0.188608i | ||||
\(697\) | −38864.4 | + | 5857.87i | −2.11204 | + | 0.318339i | ||||
\(698\) | 779.576 | − | 723.341i | 0.0422742 | − | 0.0392247i | ||||
\(699\) | −2668.64 | − | 1419.00i | −0.144402 | − | 0.0767834i | ||||
\(700\) | 12107.0 | + | 27262.6i | 0.653717 | + | 1.47204i | ||||
\(701\) | 13162.4 | + | 10496.6i | 0.709180 | + | 0.565552i | 0.910267 | − | 0.414021i | \(-0.135876\pi\) |
−0.201087 | + | 0.979573i | \(0.564447\pi\) | |||||||
\(702\) | 584.812 | − | 2118.58i | 0.0314420 | − | 0.113904i | ||||
\(703\) | −3696.88 | + | 11985.0i | −0.198336 | + | 0.642990i | ||||
\(704\) | 11257.0 | + | 6499.22i | 0.602647 | + | 0.347938i | ||||
\(705\) | 10405.5 | − | 14025.1i | 0.555876 | − | 0.749240i | ||||
\(706\) | 1472.87 | − | 336.174i | 0.0785160 | − | 0.0179208i | ||||
\(707\) | −14297.7 | − | 16396.5i | −0.760566 | − | 0.872211i | ||||
\(708\) | −21197.8 | + | 3955.73i | −1.12523 | + | 0.209979i | ||||
\(709\) | −19887.8 | + | 6134.58i | −1.05346 | + | 0.324949i | −0.772662 | − | 0.634818i | \(-0.781075\pi\) |
−0.280797 | + | 0.959767i | \(0.590599\pi\) | |||||||
\(710\) | 633.846 | + | 1615.01i | 0.0335040 | + | 0.0853668i | ||||
\(711\) | 2652.05 | + | 1056.26i | 0.139887 | + | 0.0557141i | ||||
\(712\) | 1483.23 | + | 4808.52i | 0.0780709 | + | 0.253100i | ||||
\(713\) | −244.318 | + | 1070.43i | −0.0128328 | + | 0.0562242i | ||||
\(714\) | 2237.06 | − | 1088.40i | 0.117255 | − | 0.0570483i | ||||
\(715\) | −5664.83 | − | 24819.2i | −0.296297 | − | 1.29816i | ||||
\(716\) | −12642.3 | + | 7299.05i | −0.659868 | + | 0.380975i | ||||
\(717\) | −99.2166 | + | 861.131i | −0.00516780 | + | 0.0448529i | ||||
\(718\) | 918.661 | + | 283.369i | 0.0477495 | + | 0.0147288i | ||||
\(719\) | −1320.43 | − | 17620.0i | −0.0684894 | − | 0.913928i | −0.920585 | − | 0.390542i | \(-0.872288\pi\) |
0.852096 | − | 0.523386i | \(-0.175331\pi\) | |||||||
\(720\) | −4357.64 | − | 29930.2i | −0.225555 | − | 1.54921i | ||||
\(721\) | −2376.53 | − | 12126.4i | −0.122756 | − | 0.626365i | ||||
\(722\) | −1176.46 | + | 938.200i | −0.0606420 | + | 0.0483603i | ||||
\(723\) | −2370.34 | + | 5395.87i | −0.121928 | + | 0.277558i | ||||
\(724\) | 1607.12 | + | 10662.5i | 0.0824973 | + | 0.547334i | ||||
\(725\) | −29593.0 | − | 43405.0i | −1.51594 | − | 2.22348i | ||||
\(726\) | 897.946 | − | 238.189i | 0.0459034 | − | 0.0121763i | ||||
\(727\) | −15202.2 | − | 31567.6i | −0.775540 | − | 1.61043i | −0.791970 | − | 0.610560i | \(-0.790944\pi\) |
0.0164300 | − | 0.999865i | \(-0.494770\pi\) | |||||||
\(728\) | −4346.20 | + | 1552.72i | −0.221265 | + | 0.0790491i | ||||
\(729\) | −8271.98 | − | 17860.4i | −0.420260 | − | 0.907404i | ||||
\(730\) | −1287.81 | − | 878.016i | −0.0652933 | − | 0.0445162i | ||||
\(731\) | −20538.0 | − | 19056.5i | −1.03916 | − | 0.964197i | ||||
\(732\) | 9257.38 | + | 26670.7i | 0.467435 | + | 1.34669i | ||||
\(733\) | −25225.1 | − | 9900.11i | −1.27109 | − | 0.498866i | −0.368604 | − | 0.929586i | \(-0.620164\pi\) |
−0.902485 | + | 0.430720i | \(0.858260\pi\) | |||||||
\(734\) | −1936.27 | −0.0973694 | ||||||||
\(735\) | 8033.43 | − | 31297.8i | 0.403153 | − | 1.57066i | ||||
\(736\) | 1638.70 | 0.0820695 | ||||||||
\(737\) | −6256.68 | − | 2455.57i | −0.312711 | − | 0.122730i | ||||
\(738\) | −2796.19 | + | 2568.47i | −0.139470 | + | 0.128112i | ||||
\(739\) | 2313.66 | + | 2146.77i | 0.115168 | + | 0.106861i | 0.735655 | − | 0.677356i | \(-0.236874\pi\) |
−0.620487 | + | 0.784217i | \(0.713065\pi\) | |||||||
\(740\) | −13672.4 | − | 9321.68i | −0.679199 | − | 0.463070i | ||||
\(741\) | −1160.43 | + | 29059.8i | −0.0575294 | + | 1.44067i | ||||
\(742\) | −537.401 | + | 1568.58i | −0.0265884 | + | 0.0776070i | ||||
\(743\) | 5049.09 | + | 10484.5i | 0.249304 | + | 0.517686i | 0.987638 | − | 0.156749i | \(-0.0501015\pi\) |
−0.738334 | + | 0.674435i | \(0.764387\pi\) | |||||||
\(744\) | −248.289 | − | 936.022i | −0.0122348 | − | 0.0461240i | ||||
\(745\) | −33194.6 | − | 48687.5i | −1.63242 | − | 2.39433i | ||||
\(746\) | −242.181 | − | 1606.76i | −0.0118859 | − | 0.0788577i | ||||
\(747\) | 61.0992 | − | 12165.5i | 0.00299264 | − | 0.595865i | ||||
\(748\) | −14325.7 | + | 11424.3i | −0.700266 | + | 0.558443i | ||||
\(749\) | −4400.83 | − | 5882.15i | −0.214690 | − | 0.286955i | ||||
\(750\) | 588.957 | − | 2176.14i | 0.0286742 | − | 0.105949i | ||||
\(751\) | −114.508 | − | 1528.00i | −0.00556384 | − | 0.0742443i | 0.993731 | − | 0.111800i | \(-0.0356617\pi\) |
−0.999295 | + | 0.0375562i | \(0.988043\pi\) | |||||||
\(752\) | 10945.4 | + | 3376.21i | 0.530769 | + | 0.163721i | ||||
\(753\) | 21233.3 | + | 2446.43i | 1.02760 | + | 0.118397i | ||||
\(754\) | 3499.00 | − | 2020.15i | 0.169000 | − | 0.0975721i | ||||
\(755\) | −1552.52 | − | 6802.04i | −0.0748371 | − | 0.327883i | ||||
\(756\) | −10291.0 | + | 17783.2i | −0.495079 | + | 0.855516i | ||||
\(757\) | −2359.27 | + | 10336.6i | −0.113275 | + | 0.496290i | 0.886182 | + | 0.463337i | \(0.153348\pi\) |
−0.999457 | + | 0.0329527i | \(0.989509\pi\) | |||||||
\(758\) | −67.8513 | − | 219.969i | −0.00325128 | − | 0.0105404i | ||||
\(759\) | 2861.93 | − | 2847.59i | 0.136866 | − | 0.136180i | ||||
\(760\) | −3481.87 | − | 8871.65i | −0.166185 | − | 0.423433i | ||||
\(761\) | 12590.1 | − | 3883.53i | 0.599724 | − | 0.184990i | 0.0199956 | − | 0.999800i | \(-0.493635\pi\) |
0.579729 | + | 0.814810i | \(0.303159\pi\) | |||||||
\(762\) | 605.637 | + | 3245.46i | 0.0287925 | + | 0.154292i | ||||
\(763\) | −14065.2 | + | 19320.5i | −0.667360 | + | 0.916707i | ||||
\(764\) | −16230.0 | + | 3704.38i | −0.768559 | + | 0.175419i | ||||
\(765\) | 40518.6 | + | 9462.45i | 1.91497 | + | 0.447210i | ||||
\(766\) | −216.551 | − | 125.026i | −0.0102145 | − | 0.00589735i | ||||
\(767\) | −7968.09 | + | 25831.9i | −0.375112 | + | 1.21608i | ||||
\(768\) | 16701.1 | − | 8773.20i | 0.784698 | − | 0.412208i | ||||
\(769\) | −19452.5 | − | 15512.9i | −0.912193 | − | 0.727450i | 0.0503062 | − | 0.998734i | \(-0.483980\pi\) |
−0.962499 | + | 0.271284i | \(0.912552\pi\) | |||||||
\(770\) | 85.9236 | − | 2782.39i | 0.00402139 | − | 0.130221i | ||||
\(771\) | −6961.37 | + | 13091.9i | −0.325172 | + | 0.611533i | ||||
\(772\) | 24883.1 | − | 23088.1i | 1.16005 | − | 1.07637i | ||||
\(773\) | −13743.8 | + | 2071.55i | −0.639496 | + | 0.0963885i | −0.460783 | − | 0.887513i | \(-0.652431\pi\) |
−0.178713 | + | 0.983901i | \(0.557193\pi\) | |||||||
\(774\) | −2674.23 | − | 416.821i | −0.124190 | − | 0.0193570i | ||||
\(775\) | −1169.47 | + | 7758.94i | −0.0542047 | + | 0.359625i | ||||
\(776\) | 936.358 | − | 450.926i | 0.0433161 | − | 0.0208599i | ||||
\(777\) | 3316.76 | + | 10601.3i | 0.153138 | + | 0.489471i | ||||
\(778\) | −786.394 | − | 378.707i | −0.0362385 | − | 0.0174516i | ||||
\(779\) | 28302.3 | − | 41511.9i | 1.30171 | − | 1.90926i | ||||
\(780\) | −36185.9 | − | 12764.1i | −1.66111 | − | 0.585933i | ||||
\(781\) | −641.015 | + | 8553.75i | −0.0293692 | + | 0.391904i | ||||
\(782\) | −269.186 | + | 685.875i | −0.0123096 | + | 0.0313642i | ||||
\(783\) | 12207.7 | − | 34062.3i | 0.557174 | − | 1.55464i | ||||
\(784\) | 21111.8 | − | 1859.60i | 0.961725 | − | 0.0847123i | ||||
\(785\) | 45945.6i | 2.08901i | ||||||||
\(786\) | 86.6002 | + | 2481.17i | 0.00392993 | + | 0.112596i | ||||
\(787\) | 2754.61 | + | 206.429i | 0.124766 | + | 0.00934994i | 0.136967 | − | 0.990576i | \(-0.456265\pi\) |
−0.0122006 | + | 0.999926i | \(0.503884\pi\) | |||||||
\(788\) | 14603.6 | − | 15738.9i | 0.660191 | − | 0.711517i | ||||
\(789\) | −16788.6 | − | 3220.26i | −0.757529 | − | 0.145303i | ||||
\(790\) | −252.935 | + | 525.225i | −0.0113912 | + | 0.0236540i | ||||
\(791\) | 17720.0 | − | 2113.81i | 0.796524 | − | 0.0950168i | ||||
\(792\) | −1066.65 | + | 3397.33i | −0.0478558 | + | 0.152423i | ||||
\(793\) | 34996.8 | + | 5274.92i | 1.56718 | + | 0.236214i | ||||
\(794\) | 3287.36 | − | 2241.29i | 0.146932 | − | 0.100177i | ||||
\(795\) | −23518.3 | + | 14695.3i | −1.04919 | + | 0.655581i | ||||
\(796\) | 5059.68 | + | 5453.04i | 0.225296 | + | 0.242811i | ||||
\(797\) | −2211.58 | − | 2773.23i | −0.0982912 | − | 0.123253i | 0.730253 | − | 0.683177i | \(-0.239402\pi\) |
−0.828544 | + | 0.559923i | \(0.810831\pi\) | |||||||
\(798\) | −925.152 | + | 3042.61i | −0.0410401 | + | 0.134972i | ||||
\(799\) | −9824.67 | + | 12319.7i | −0.435009 | + | 0.545484i | ||||
\(800\) | 11678.2 | − | 875.163i | 0.516110 | − | 0.0386771i | ||||
\(801\) | 24391.5 | − | 13919.6i | 1.07594 | − | 0.614013i | ||||
\(802\) | −1264.30 | + | 2189.83i | −0.0556658 | + | 0.0964161i | ||||
\(803\) | −3853.05 | − | 6673.68i | −0.169329 | − | 0.293286i | ||||
\(804\) | −8166.27 | + | 5995.36i | −0.358211 | + | 0.262985i | ||||
\(805\) | 4526.89 | + | 8431.58i | 0.198201 | + | 0.369160i | ||||
\(806\) | −588.344 | − | 134.286i | −0.0257116 | − | 0.00586850i | ||||
\(807\) | 1449.49 | + | 1692.91i | 0.0632272 | + | 0.0738455i | ||||
\(808\) | −5289.97 | + | 2076.16i | −0.230322 | + | 0.0903949i | ||||
\(809\) | 24932.4 | − | 9785.23i | 1.08353 | − | 0.425254i | 0.244672 | − | 0.969606i | \(-0.421320\pi\) |
0.838857 | + | 0.544352i | \(0.183224\pi\) | |||||||
\(810\) | 3756.22 | − | 1430.83i | 0.162938 | − | 0.0620672i | ||||
\(811\) | 28427.4 | + | 6488.38i | 1.23085 | + | 0.280934i | 0.788009 | − | 0.615664i | \(-0.211112\pi\) |
0.442845 | + | 0.896598i | \(0.353969\pi\) | |||||||
\(812\) | −36419.1 | + | 10013.7i | −1.57396 | + | 0.432775i | ||||
\(813\) | −1604.33 | − | 2185.25i | −0.0692081 | − | 0.0942682i | ||||
\(814\) | 478.480 | + | 828.752i | 0.0206028 | + | 0.0356852i | ||||
\(815\) | −3440.33 | + | 5958.82i | −0.147864 | + | 0.256108i | ||||
\(816\) | 2987.52 | + | 27127.1i | 0.128167 | + | 1.16377i | ||||
\(817\) | 35714.4 | − | 2676.42i | 1.52936 | − | 0.114610i | ||||
\(818\) | −1514.99 | + | 1899.73i | −0.0647558 | + | 0.0812012i | ||||
\(819\) | 13736.6 | + | 21788.7i | 0.586075 | + | 0.929622i | ||||
\(820\) | 41329.6 | + | 51825.7i | 1.76011 | + | 2.20711i | ||||
\(821\) | 11451.1 | + | 12341.3i | 0.486779 | + | 0.524623i | 0.927902 | − | 0.372824i | \(-0.121610\pi\) |
−0.441123 | + | 0.897446i | \(0.645420\pi\) | |||||||
\(822\) | 513.559 | + | 821.898i | 0.0217913 | + | 0.0348747i | ||||
\(823\) | −26884.8 | + | 18329.8i | −1.13869 | + | 0.776349i | −0.977575 | − | 0.210586i | \(-0.932463\pi\) |
−0.161120 | + | 0.986935i | \(0.551510\pi\) | |||||||
\(824\) | −3191.87 | − | 481.097i | −0.134944 | − | 0.0203396i | ||||
\(825\) | 18874.9 | − | 21821.9i | 0.796531 | − | 0.920899i | ||||
\(826\) | −1556.31 | + | 2513.12i | −0.0655579 | + | 0.105863i | ||||
\(827\) | −254.781 | + | 529.058i | −0.0107129 | + | 0.0222456i | −0.906257 | − | 0.422728i | \(-0.861073\pi\) |
0.895544 | + | 0.444973i | \(0.146787\pi\) | |||||||
\(828\) | −1324.27 | − | 5939.35i | −0.0555816 | − | 0.249284i | ||||
\(829\) | 27760.7 | − | 29918.9i | 1.16305 | − | 1.25347i | 0.201302 | − | 0.979529i | \(-0.435483\pi\) |
0.961747 | − | 0.273939i | \(-0.0883268\pi\) | |||||||
\(830\) | 2477.42 | + | 185.657i | 0.103606 | + | 0.00776416i | ||||
\(831\) | −15136.3 | + | 528.302i | −0.631857 | + | 0.0220536i | ||||
\(832\) | − | 24561.2i | − | 1.02344i | ||||||
\(833\) | −8229.30 | + | 27970.2i | −0.342291 | + | 1.16340i | ||||
\(834\) | −1520.95 | − | 3510.09i | −0.0631491 | − | 0.145737i | ||||
\(835\) | 10038.6 | − | 25578.0i | 0.416049 | − | 1.06008i | ||||
\(836\) | 1750.39 | − | 23357.3i | 0.0724144 | − | 0.966302i | ||||
\(837\) | −4797.14 | + | 2489.31i | −0.198104 | + | 0.102799i | ||||
\(838\) | 1478.41 | − | 2168.43i | 0.0609437 | − | 0.0893880i | ||||
\(839\) | −16073.6 | − | 7740.65i | −0.661410 | − | 0.318518i | 0.0728933 | − | 0.997340i | \(-0.476777\pi\) |
−0.734303 | + | 0.678821i | \(0.762491\pi\) | |||||||
\(840\) | −6993.05 | − | 4726.74i | −0.287242 | − | 0.194152i | ||||
\(841\) | 37956.5 | − | 18278.9i | 1.55630 | − | 0.749473i | ||||
\(842\) | −596.701 | + | 3958.85i | −0.0244224 | + | 0.162032i | ||||
\(843\) | −13762.7 | + | 21781.6i | −0.562293 | + | 0.889916i | ||||
\(844\) | −10559.7 | + | 1591.61i | −0.430662 | + | 0.0649119i | ||||
\(845\) | −6063.92 | + | 5626.49i | −0.246870 | + | 0.229062i | ||||
\(846\) | −121.378 | + | 1517.37i | −0.00493268 | + | 0.0616646i | ||||
\(847\) | −5024.43 | + | 9658.80i | −0.203827 | + | 0.391830i | ||||
\(848\) | −14220.9 | − | 11340.8i | −0.575884 | − | 0.459252i | ||||
\(849\) | −21040.8 | − | 40054.3i | −0.850552 | − | 1.61915i | ||||
\(850\) | −1552.07 | + | 5031.68i | −0.0626300 | + | 0.203041i | ||||
\(851\) | −2849.11 | − | 1644.93i | −0.114766 | − | 0.0662604i | ||||
\(852\) | 10383.3 | + | 7703.54i | 0.417517 | + | 0.309764i | ||||
\(853\) | 7516.35 | − | 1715.56i | 0.301706 | − | 0.0688624i | −0.0689881 | − | 0.997617i | \(-0.521977\pi\) |
0.370694 | + | 0.928755i | \(0.379120\pi\) | |||||||
\(854\) | 3557.16 | + | 1524.41i | 0.142533 | + | 0.0610822i | ||||
\(855\) | −44096.8 | + | 29741.4i | −1.76383 | + | 1.18963i | ||||
\(856\) | −1833.73 | + | 565.632i | −0.0732193 | + | 0.0225852i | ||||
\(857\) | −3584.43 | − | 9132.97i | −0.142872 | − | 0.364033i | 0.841469 | − | 0.540305i | \(-0.181691\pi\) |
−0.984341 | + | 0.176272i | \(0.943596\pi\) | |||||||
\(858\) | 1565.13 | + | 1573.01i | 0.0622759 | + | 0.0625895i | ||||
\(859\) | 1263.10 | + | 4094.86i | 0.0501703 | + | 0.162648i | 0.977191 | − | 0.212362i | \(-0.0681155\pi\) |
−0.927021 | + | 0.375010i | \(0.877639\pi\) | |||||||
\(860\) | −10514.7 | + | 46067.8i | −0.416916 | + | 1.82663i | ||||
\(861\) | −178.761 | − | 44496.5i | −0.00707568 | − | 1.76125i | ||||
\(862\) | −955.284 | − | 4185.37i | −0.0377461 | − | 0.165376i | ||||
\(863\) | 4287.97 | − | 2475.66i | 0.169136 | − | 0.0976506i | −0.413042 | − | 0.910712i | \(-0.635534\pi\) |
0.582178 | + | 0.813061i | \(0.302201\pi\) | |||||||
\(864\) | 5215.32 | + | 6153.47i | 0.205357 | + | 0.242298i | ||||
\(865\) | 70987.8 | + | 21896.8i | 2.79035 | + | 0.860710i | ||||
\(866\) | −134.628 | − | 1796.49i | −0.00528273 | − | 0.0704931i | ||||
\(867\) | −11598.1 | − | 3138.94i | −0.454316 | − | 0.122957i | ||||
\(868\) | 5004.91 | + | 2603.51i | 0.195712 | + | 0.101808i | ||||
\(869\) | −2253.39 | + | 1797.02i | −0.0879643 | + | 0.0701492i | ||||
\(870\) | 6765.19 | + | 2971.87i | 0.263634 | + | 0.115811i | ||||
\(871\) | 1892.87 | + | 12558.4i | 0.0736366 | + | 0.488547i | ||||
\(872\) | 3516.61 | + | 5157.92i | 0.136568 | + | 0.200309i | ||||
\(873\) | −3593.52 | − | 4552.85i | −0.139315 | − | 0.176507i | ||||
\(874\) | −408.662 | − | 848.595i | −0.0158160 | − | 0.0328423i | ||||
\(875\) | 14202.6 | + | 22279.0i | 0.548725 | + | 0.860765i | ||||
\(876\) | −11605.9 | − | 463.448i | −0.447632 | − | 0.0178750i | ||||
\(877\) | −6176.45 | − | 4211.03i | −0.237815 | − | 0.162140i | 0.438548 | − | 0.898708i | \(-0.355493\pi\) |
−0.676364 | + | 0.736568i | \(0.736445\pi\) | |||||||
\(878\) | 29.3987 | + | 27.2780i | 0.00113002 | + | 0.00104850i | ||||
\(879\) | −5005.84 | + | 1737.52i | −0.192085 | + | 0.0666726i | ||||
\(880\) | 28426.6 | + | 11156.6i | 1.08893 | + | 0.427375i | ||||
\(881\) | −25868.4 | −0.989250 | −0.494625 | − | 0.869106i | \(-0.664695\pi\) | ||||
−0.494625 | + | 0.869106i | \(0.664695\pi\) | |||||||
\(882\) | 851.779 | + | 2684.62i | 0.0325180 | + | 0.102490i | ||||
\(883\) | 13142.7 | 0.500890 | 0.250445 | − | 0.968131i | \(-0.419423\pi\) | ||||
0.250445 | + | 0.968131i | \(0.419423\pi\) | |||||||
\(884\) | 32229.3 | + | 12649.1i | 1.22623 | + | 0.481261i | ||||
\(885\) | −46706.2 | + | 16211.7i | −1.77402 | + | 0.615762i | ||||
\(886\) | 2015.58 | + | 1870.18i | 0.0764273 | + | 0.0709142i | ||||
\(887\) | 28999.1 | + | 19771.3i | 1.09774 | + | 0.748427i | 0.969933 | − | 0.243372i | \(-0.0782537\pi\) |
0.127807 | + | 0.991799i | \(0.459206\pi\) | |||||||
\(888\) | 2899.34 | + | 115.777i | 0.109567 | + | 0.00437526i | ||||
\(889\) | −32895.2 | − | 20371.1i | −1.24102 | − | 0.768531i | ||||
\(890\) | 2488.35 | + | 5167.11i | 0.0937187 | + | 0.194609i | ||||
\(891\) | 19801.4 | + | 1684.08i | 0.744524 | + | 0.0633207i | ||||
\(892\) | −7342.04 | − | 10768.8i | −0.275594 | − | 0.404222i | ||||
\(893\) | −3002.17 | − | 19918.1i | −0.112501 | − | 0.746397i | ||||
\(894\) | 4702.62 | + | 2065.80i | 0.175927 | + | 0.0772828i | ||||
\(895\) | −26167.5 | + | 20867.9i | −0.977298 | + | 0.779369i | ||||
\(896\) | 2829.15 | − | 10841.2i | 0.105486 | − | 0.404216i | ||||
\(897\) | −7363.67 | − | 1992.92i | −0.274098 | − | 0.0741825i | ||||
\(898\) | 248.128 | + | 3311.04i | 0.00922064 | + | 0.123041i | ||||
\(899\) | −9493.93 | − | 2928.49i | −0.352214 | − | 0.108644i | ||||
\(900\) | −12609.4 | − | 41619.8i | −0.467016 | − | 1.54147i | ||||
\(901\) | 21670.4 | − | 12511.4i | 0.801270 | − | 0.462614i | ||||
\(902\) | −853.017 | − | 3737.31i | −0.0314882 | − | 0.137959i | ||||
\(903\) | 24719.4 | − | 19876.1i | 0.910975 | − | 0.732485i | ||||
\(904\) | 1037.32 | − | 4544.78i | 0.0381644 | − | 0.167209i | ||||
\(905\) | 7287.06 | + | 23624.1i | 0.267657 | + | 0.867724i | ||||
\(906\) | 428.945 | + | 431.105i | 0.0157293 | + | 0.0158085i | ||||
\(907\) | 13570.0 | + | 34575.8i | 0.496786 | + | 1.26579i | 0.931013 | + | 0.364987i | \(0.118926\pi\) |
−0.434227 | + | 0.900804i | \(0.642978\pi\) | |||||||
\(908\) | −34234.2 | + | 10559.9i | −1.25121 | + | 0.385949i | ||||
\(909\) | 17734.1 | + | 26293.9i | 0.647088 | + | 0.959421i | ||||
\(910\) | −4634.28 | + | 2488.13i | −0.168819 | + | 0.0906381i | ||||
\(911\) | 25773.8 | − | 5882.71i | 0.937349 | − | 0.213944i | 0.273553 | − | 0.961857i | \(-0.411801\pi\) |
0.663797 | + | 0.747913i | \(0.268944\pi\) | |||||||
\(912\) | −28017.5 | − | 20786.7i | −1.01727 | − | 0.754734i | ||||
\(913\) | 10637.4 | + | 6141.48i | 0.385592 | + | 0.222622i | ||||
\(914\) | 354.334 | − | 1148.72i | 0.0128231 | − | 0.0415716i | ||||
\(915\) | 30101.3 | + | 57302.4i | 1.08756 | + | 2.07034i | ||||
\(916\) | 34813.2 | + | 27762.6i | 1.25574 | + | 1.00142i | ||||
\(917\) | −22177.4 | − | 18834.6i | −0.798650 | − | 0.678269i | ||||
\(918\) | −3432.24 | + | 1172.05i | −0.123400 | + | 0.0421387i | ||||
\(919\) | −21663.4 | + | 20100.7i | −0.777593 | + | 0.721501i | −0.965420 | − | 0.260701i | \(-0.916046\pi\) |
0.187826 | + | 0.982202i | \(0.439856\pi\) | |||||||
\(920\) | 2471.96 | − | 372.587i | 0.0885848 | − | 0.0133520i | ||||
\(921\) | −11168.9 | + | 17676.5i | −0.399595 | + | 0.632421i | ||||
\(922\) | 355.410 | − | 2357.99i | 0.0126950 | − | 0.0842260i | ||||
\(923\) | 14603.0 | − | 7032.42i | 0.520761 | − | 0.250785i | ||||
\(924\) | −10444.3 | − | 17923.4i | −0.371853 | − | 0.638134i | ||||
\(925\) | −21182.8 | − | 10201.1i | −0.752958 | − | 0.362605i | ||||
\(926\) | −1087.29 | + | 1594.77i | −0.0385861 | + | 0.0565954i | ||||
\(927\) | 1256.01 | + | 17971.0i | 0.0445015 | + | 0.636727i | ||||
\(928\) | −1108.13 | + | 14787.0i | −0.0391985 | + | 0.523067i | ||||
\(929\) | −5888.11 | + | 15002.7i | −0.207947 | + | 0.529840i | −0.996354 | − | 0.0853138i | \(-0.972811\pi\) |
0.788407 | + | 0.615153i | \(0.210906\pi\) | |||||||
\(930\) | −438.810 | − | 1012.69i | −0.0154722 | − | 0.0357070i | ||||
\(931\) | −19054.9 | − | 32030.8i | −0.670782 | − | 1.12757i | ||||
\(932\) | − | 4599.57i | − | 0.161656i | ||||||
\(933\) | −43419.8 | + | 1515.48i | −1.52358 | + | 0.0531773i | ||||
\(934\) | 386.991 | + | 29.0010i | 0.0135575 | + | 0.00101600i | ||||
\(935\) | −28574.2 | + | 30795.6i | −0.999439 | + | 1.07714i | ||||
\(936\) | 6567.12 | − | 1464.24i | 0.229330 | − | 0.0511327i | ||||
\(937\) | 14289.4 | − | 29672.3i | 0.498202 | − | 1.03453i | −0.488587 | − | 0.872515i | \(-0.662488\pi\) |
0.986789 | − | 0.162011i | \(-0.0517981\pi\) | |||||||
\(938\) | −146.477 | + | 1380.99i | −0.00509876 | + | 0.0480715i | ||||
\(939\) | 8032.98 | − | 9287.22i | 0.279176 | − | 0.322766i | ||||
\(940\) | 26279.2 | + | 3960.96i | 0.911845 | + | 0.137439i | ||||
\(941\) | 36118.9 | − | 24625.4i | 1.25127 | − | 0.853099i | 0.257686 | − | 0.966229i | \(-0.417040\pi\) |
0.993580 | + | 0.113130i | \(0.0360875\pi\) | |||||||
\(942\) | −2122.19 | − | 3396.35i | −0.0734021 | − | 0.117473i | ||||
\(943\) | 8963.77 | + | 9660.65i | 0.309545 | + | 0.333610i | ||||
\(944\) | −20218.1 | − | 25352.7i | −0.697080 | − | 0.874111i | ||||
\(945\) | −17254.2 | + | 43833.3i | −0.593945 | + | 1.50889i | ||||
\(946\) | 1703.76 | − | 2136.45i | 0.0585561 | − | 0.0734270i | ||||
\(947\) | 25659.7 | − | 1922.93i | 0.880495 | − | 0.0659839i | 0.373194 | − | 0.927753i | \(-0.378263\pi\) |
0.507300 | + | 0.861769i | \(0.330643\pi\) | |||||||
\(948\) | 475.556 | + | 4318.11i | 0.0162926 | + | 0.147939i | ||||
\(949\) | −7280.53 | + | 12610.2i | −0.249037 | + | 0.431344i | ||||
\(950\) | −3365.55 | − | 5829.30i | −0.114940 | − | 0.199081i | ||||
\(951\) | −4497.76 | − | 6126.39i | −0.153365 | − | 0.208898i | ||||
\(952\) | 6157.29 | + | 4482.49i | 0.209621 | + | 0.152603i | ||||
\(953\) | 11507.0 | + | 2626.39i | 0.391131 | + | 0.0892731i | 0.413564 | − | 0.910475i | \(-0.364284\pi\) |
−0.0224325 | + | 0.999748i | \(0.507141\pi\) | |||||||
\(954\) | 1059.73 | − | 2172.58i | 0.0359645 | − | 0.0737315i | ||||
\(955\) | −35529.4 | + | 13944.3i | −1.20388 | + | 0.472488i | ||||
\(956\) | −1227.95 | + | 481.935i | −0.0415427 | + | 0.0163043i | ||||
\(957\) | 23760.3 | + | 27750.6i | 0.802571 | + | 0.937355i | ||||
\(958\) | −337.971 | − | 77.1398i | −0.0113981 | − | 0.00260154i | ||||
\(959\) | −11173.6 | − | 2038.69i | −0.376240 | − | 0.0686474i | ||||
\(960\) | 36208.8 | − | 26583.1i | 1.21733 | − | 0.893715i | ||||
\(961\) | −14153.5 | − | 24514.6i | −0.475093 | − | 0.822886i | ||||
\(962\) | 904.112 | − | 1565.97i | 0.0303012 | − | 0.0524832i | ||||
\(963\) | 5308.25 | + | 9301.73i | 0.177628 | + | 0.311261i | ||||
\(964\) | −8943.73 | + | 670.240i | −0.298816 | + | 0.0223931i | ||||
\(965\) | 48523.4 | − | 60846.4i | 1.61868 | − | 2.02976i | ||||
\(966\) | −724.080 | − | 414.178i | −0.0241169 | − | 0.0137950i | ||||
\(967\) | 6368.16 | + | 7985.42i | 0.211775 | + | 0.265557i | 0.876362 | − | 0.481654i | \(-0.159964\pi\) |
−0.664587 | + | 0.747211i | \(0.731392\pi\) | |||||||
\(968\) | 1934.44 | + | 2084.83i | 0.0642306 | + | 0.0692241i | ||||
\(969\) | 40700.8 | − | 25431.7i | 1.34933 | − | 0.843120i | ||||
\(970\) | 978.650 | − | 667.232i | 0.0323944 | − | 0.0220861i | ||||
\(971\) | 5736.94 | + | 864.704i | 0.189606 | + | 0.0285784i | 0.243159 | − | 0.969987i | \(-0.421816\pi\) |
−0.0535529 | + | 0.998565i | \(0.517055\pi\) | |||||||
\(972\) | 18088.2 | − | 23875.4i | 0.596894 | − | 0.787863i | ||||
\(973\) | 42412.4 | + | 14530.7i | 1.39741 | + | 0.478758i | ||||
\(974\) | 1804.38 | − | 3746.83i | 0.0593594 | − | 0.123261i | ||||
\(975\) | −53541.8 | − | 10270.0i | −1.75868 | − | 0.337336i | ||||
\(976\) | −28876.4 | + | 31121.4i | −0.947041 | + | 1.02067i | ||||
\(977\) | −37874.7 | − | 2838.32i | −1.24025 | − | 0.0929435i | −0.561599 | − | 0.827409i | \(-0.689814\pi\) |
−0.678646 | + | 0.734466i | \(0.737433\pi\) | |||||||
\(978\) | −20.9204 | − | 599.389i | −0.000684009 | − | 0.0195975i | ||||
\(979\) | 28354.7i | 0.925659i | ||||||||
\(980\) | 47793.1 | − | 11567.0i | 1.55785 | − | 0.377035i | ||||
\(981\) | 23825.1 | − | 25420.1i | 0.775411 | − | 0.827321i | ||||
\(982\) | 1272.71 | − | 3242.80i | 0.0413581 | − | 0.105379i | ||||
\(983\) | 3328.99 | − | 44422.3i | 0.108015 | − | 1.44136i | −0.635223 | − | 0.772328i | \(-0.719092\pi\) |
0.743238 | − | 0.669027i | \(-0.233289\pi\) | |||||||
\(984\) | −10961.6 | − | 3866.55i | −0.355124 | − | 0.125265i | ||||
\(985\) | 27729.9 | − | 40672.2i | 0.897002 | − | 1.31566i | ||||
\(986\) | −6007.05 | − | 2892.84i | −0.194020 | − | 0.0934349i | ||||
\(987\) | −12186.5 | − | 13028.6i | −0.393011 | − | 0.420167i | ||||
\(988\) | −39875.5 | + | 19203.1i | −1.28402 | + | 0.618351i | ||||
\(989\) | −1400.15 | + | 9289.37i | −0.0450173 | + | 0.298670i | ||||
\(990\) | −625.002 | + | 4009.87i | −0.0200645 | + | 0.128729i | ||||
\(991\) | 29520.6 | − | 4449.52i | 0.946270 | − | 0.142627i | 0.342261 | − | 0.939605i | \(-0.388807\pi\) |
0.604009 | + | 0.796978i | \(0.293569\pi\) | |||||||
\(992\) | 1623.59 | − | 1506.47i | 0.0519647 | − | 0.0482162i | ||||
\(993\) | 5699.06 | − | 10717.9i | 0.182129 | − | 0.342520i | ||||
\(994\) | 1739.23 | − | 340.855i | 0.0554979 | − | 0.0108765i | ||||
\(995\) | 13334.3 | + | 10633.7i | 0.424849 | + | 0.338806i | ||||
\(996\) | 16389.9 | − | 8609.72i | 0.521419 | − | 0.273905i | ||||
\(997\) | 12388.1 | − | 40161.1i | 0.393515 | − | 1.27574i | −0.514748 | − | 0.857342i | \(-0.672114\pi\) |
0.908262 | − | 0.418401i | \(-0.137409\pi\) | |||||||
\(998\) | 4688.49 | + | 2706.90i | 0.148709 | + | 0.0858572i | ||||
\(999\) | −2890.69 | − | 15933.9i | −0.0915490 | − | 0.504630i |
(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 | 147.4.o.a.101.27 | ✓ | 648 | |
3.2 | odd | 2 | inner | 147.4.o.a.101.28 | yes | 648 | |
49.33 | odd | 42 | inner | 147.4.o.a.131.28 | yes | 648 | |
147.131 | even | 42 | inner | 147.4.o.a.131.27 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
147.4.o.a.101.27 | ✓ | 648 | 1.1 | even | 1 | trivial | |
147.4.o.a.101.28 | yes | 648 | 3.2 | odd | 2 | inner | |
147.4.o.a.131.27 | yes | 648 | 147.131 | even | 42 | inner | |
147.4.o.a.131.28 | yes | 648 | 49.33 | odd | 42 | inner |