Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [197,3,Mod(14,197)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(197, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("197.14");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 197 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 197.c (of order \(4\), degree \(2\), 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: | \(5.36786120790\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 14.5 | ||
Character | \(\chi\) | \(=\) | 197.14 |
Dual form | 197.3.c.a.183.5 |
$q$-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 \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.07857 | + | 2.07857i | −1.03928 | + | 1.03928i | −0.0400870 | + | 0.999196i | \(0.512763\pi\) |
−0.999196 | + | 0.0400870i | \(0.987237\pi\) | |||||||
\(3\) | 3.03733 | − | 3.03733i | 1.01244 | − | 1.01244i | 0.0125214 | − | 0.999922i | \(-0.496014\pi\) |
0.999922 | − | 0.0125214i | \(-0.00398578\pi\) | |||||||
\(4\) | − | 4.64088i | − | 1.16022i | ||||||
\(5\) | −3.00380 | + | 3.00380i | −0.600761 | + | 0.600761i | −0.940514 | − | 0.339754i | \(-0.889656\pi\) |
0.339754 | + | 0.940514i | \(0.389656\pi\) | |||||||
\(6\) | 12.6266i | 2.10443i | ||||||||
\(7\) | 7.49199i | 1.07028i | 0.844762 | + | 0.535142i | \(0.179742\pi\) | ||||
−0.844762 | + | 0.535142i | \(0.820258\pi\) | |||||||
\(8\) | 1.33210 | + | 1.33210i | 0.166513 | + | 0.166513i | ||||
\(9\) | − | 9.45073i | − | 1.05008i | ||||||
\(10\) | − | 12.4872i | − | 1.24872i | ||||||
\(11\) | 6.13923 | − | 6.13923i | 0.558112 | − | 0.558112i | −0.370658 | − | 0.928770i | \(-0.620868\pi\) |
0.928770 | + | 0.370658i | \(0.120868\pi\) | |||||||
\(12\) | −14.0959 | − | 14.0959i | −1.17466 | − | 1.17466i | ||||
\(13\) | −17.5286 | + | 17.5286i | −1.34835 | + | 1.34835i | −0.460903 | + | 0.887450i | \(0.652475\pi\) |
−0.887450 | + | 0.460903i | \(0.847525\pi\) | |||||||
\(14\) | −15.5726 | − | 15.5726i | −1.11233 | − | 1.11233i | ||||
\(15\) | 18.2471i | 1.21647i | ||||||||
\(16\) | 13.0258 | 0.814111 | ||||||||
\(17\) | 21.5727 | + | 21.5727i | 1.26898 | + | 1.26898i | 0.946613 | + | 0.322371i | \(0.104480\pi\) |
0.322371 | + | 0.946613i | \(0.395520\pi\) | |||||||
\(18\) | 19.6440 | + | 19.6440i | 1.09133 | + | 1.09133i | ||||
\(19\) | 7.26047i | 0.382130i | 0.981577 | + | 0.191065i | \(0.0611941\pi\) | ||||
−0.981577 | + | 0.191065i | \(0.938806\pi\) | |||||||
\(20\) | 13.9403 | + | 13.9403i | 0.697014 | + | 0.697014i | ||||
\(21\) | 22.7556 | + | 22.7556i | 1.08360 | + | 1.08360i | ||||
\(22\) | 25.5216i | 1.16007i | ||||||||
\(23\) | −34.1557 | −1.48503 | −0.742515 | − | 0.669830i | \(-0.766367\pi\) | ||||
−0.742515 | + | 0.669830i | \(0.766367\pi\) | |||||||
\(24\) | 8.09207 | 0.337170 | ||||||||
\(25\) | 6.95434i | 0.278173i | ||||||||
\(26\) | − | 72.8687i | − | 2.80264i | ||||||
\(27\) | −1.36903 | − | 1.36903i | −0.0507047 | − | 0.0507047i | ||||
\(28\) | 34.7694 | 1.24176 | ||||||||
\(29\) | 28.8625 | 0.995258 | 0.497629 | − | 0.867390i | \(-0.334204\pi\) | ||||
0.497629 | + | 0.867390i | \(0.334204\pi\) | |||||||
\(30\) | −37.9278 | − | 37.9278i | −1.26426 | − | 1.26426i | ||||
\(31\) | −13.7496 | + | 13.7496i | −0.443535 | + | 0.443535i | −0.893198 | − | 0.449663i | \(-0.851544\pi\) |
0.449663 | + | 0.893198i | \(0.351544\pi\) | |||||||
\(32\) | −32.4033 | + | 32.4033i | −1.01260 | + | 1.01260i | ||||
\(33\) | − | 37.2937i | − | 1.13011i | ||||||
\(34\) | −89.6807 | −2.63767 | ||||||||
\(35\) | −22.5045 | − | 22.5045i | −0.642985 | − | 0.642985i | ||||
\(36\) | −43.8597 | −1.21832 | ||||||||
\(37\) | −31.4783 | −0.850765 | −0.425383 | − | 0.905014i | \(-0.639861\pi\) | ||||
−0.425383 | + | 0.905014i | \(0.639861\pi\) | |||||||
\(38\) | −15.0914 | − | 15.0914i | −0.397141 | − | 0.397141i | ||||
\(39\) | 106.480i | 2.73026i | ||||||||
\(40\) | −8.00275 | −0.200069 | ||||||||
\(41\) | − | 64.9382i | − | 1.58386i | −0.610613 | − | 0.791929i | \(-0.709077\pi\) | ||
0.610613 | − | 0.791929i | \(-0.290923\pi\) | |||||||
\(42\) | −94.5983 | −2.25234 | ||||||||
\(43\) | 45.8464i | 1.06620i | 0.846054 | + | 0.533098i | \(0.178972\pi\) | ||||
−0.846054 | + | 0.533098i | \(0.821028\pi\) | |||||||
\(44\) | −28.4914 | − | 28.4914i | −0.647532 | − | 0.647532i | ||||
\(45\) | 28.3881 | + | 28.3881i | 0.630848 | + | 0.630848i | ||||
\(46\) | 70.9948 | − | 70.9948i | 1.54337 | − | 1.54337i | ||||
\(47\) | − | 30.0693i | − | 0.639772i | −0.947456 | − | 0.319886i | \(-0.896355\pi\) | ||
0.947456 | − | 0.319886i | \(-0.103645\pi\) | |||||||
\(48\) | 39.5636 | − | 39.5636i | 0.824241 | − | 0.824241i | ||||
\(49\) | −7.12997 | −0.145510 | ||||||||
\(50\) | −14.4550 | − | 14.4550i | −0.289101 | − | 0.289101i | ||||
\(51\) | 131.047 | 2.56955 | ||||||||
\(52\) | 81.3481 | + | 81.3481i | 1.56439 | + | 1.56439i | ||||
\(53\) | 70.8242 | 1.33631 | 0.668153 | − | 0.744024i | \(-0.267085\pi\) | ||||
0.668153 | + | 0.744024i | \(0.267085\pi\) | |||||||
\(54\) | 5.69123 | 0.105393 | ||||||||
\(55\) | 36.8821i | 0.670583i | ||||||||
\(56\) | −9.98011 | + | 9.98011i | −0.178216 | + | 0.178216i | ||||
\(57\) | 22.0524 | + | 22.0524i | 0.386885 | + | 0.386885i | ||||
\(58\) | −59.9926 | + | 59.9926i | −1.03435 | + | 1.03435i | ||||
\(59\) | −99.2741 | −1.68261 | −0.841306 | − | 0.540559i | \(-0.818213\pi\) | ||||
−0.841306 | + | 0.540559i | \(0.818213\pi\) | |||||||
\(60\) | 84.6824 | 1.41137 | ||||||||
\(61\) | 40.5350 | 0.664509 | 0.332254 | − | 0.943190i | \(-0.392191\pi\) | ||||
0.332254 | + | 0.943190i | \(0.392191\pi\) | |||||||
\(62\) | − | 57.1588i | − | 0.921916i | ||||||
\(63\) | 70.8048 | 1.12389 | ||||||||
\(64\) | − | 82.6019i | − | 1.29066i | ||||||
\(65\) | − | 105.305i | − | 1.62008i | ||||||
\(66\) | 77.5175 | + | 77.5175i | 1.17451 | + | 1.17451i | ||||
\(67\) | −11.5282 | + | 11.5282i | −0.172063 | + | 0.172063i | −0.787885 | − | 0.615822i | \(-0.788824\pi\) |
0.615822 | + | 0.787885i | \(0.288824\pi\) | |||||||
\(68\) | 100.116 | − | 100.116i | 1.47230 | − | 1.47230i | ||||
\(69\) | −103.742 | + | 103.742i | −1.50351 | + | 1.50351i | ||||
\(70\) | 93.5541 | 1.33649 | ||||||||
\(71\) | 16.8818 | + | 16.8818i | 0.237771 | + | 0.237771i | 0.815927 | − | 0.578155i | \(-0.196227\pi\) |
−0.578155 | + | 0.815927i | \(0.696227\pi\) | |||||||
\(72\) | 12.5894 | − | 12.5894i | 0.174852 | − | 0.174852i | ||||
\(73\) | 34.9003 | − | 34.9003i | 0.478087 | − | 0.478087i | −0.426433 | − | 0.904519i | \(-0.640230\pi\) |
0.904519 | + | 0.426433i | \(0.140230\pi\) | |||||||
\(74\) | 65.4298 | − | 65.4298i | 0.884186 | − | 0.884186i | ||||
\(75\) | 21.1226 | + | 21.1226i | 0.281635 | + | 0.281635i | ||||
\(76\) | 33.6949 | 0.443354 | ||||||||
\(77\) | 45.9951 | + | 45.9951i | 0.597339 | + | 0.597339i | ||||
\(78\) | −221.326 | − | 221.326i | −2.83752 | − | 2.83752i | ||||
\(79\) | −10.5741 | − | 10.5741i | −0.133849 | − | 0.133849i | 0.637008 | − | 0.770857i | \(-0.280172\pi\) |
−0.770857 | + | 0.637008i | \(0.780172\pi\) | |||||||
\(80\) | −39.1269 | + | 39.1269i | −0.489086 | + | 0.489086i | ||||
\(81\) | 76.7402 | 0.947410 | ||||||||
\(82\) | 134.978 | + | 134.978i | 1.64608 | + | 1.64608i | ||||
\(83\) | − | 109.901i | − | 1.32411i | −0.749454 | − | 0.662056i | \(-0.769684\pi\) | ||
0.749454 | − | 0.662056i | \(-0.230316\pi\) | |||||||
\(84\) | 105.606 | − | 105.606i | 1.25722 | − | 1.25722i | ||||
\(85\) | −129.600 | −1.52471 | ||||||||
\(86\) | −95.2948 | − | 95.2948i | −1.10808 | − | 1.10808i | ||||
\(87\) | 87.6648 | − | 87.6648i | 1.00764 | − | 1.00764i | ||||
\(88\) | 16.3562 | 0.185866 | ||||||||
\(89\) | 76.2349 | + | 76.2349i | 0.856572 | + | 0.856572i | 0.990933 | − | 0.134360i | \(-0.0428979\pi\) |
−0.134360 | + | 0.990933i | \(0.542898\pi\) | |||||||
\(90\) | −118.013 | −1.31126 | ||||||||
\(91\) | −131.324 | − | 131.324i | −1.44312 | − | 1.44312i | ||||
\(92\) | 158.512i | 1.72296i | ||||||||
\(93\) | 83.5239i | 0.898107i | ||||||||
\(94\) | 62.5010 | + | 62.5010i | 0.664905 | + | 0.664905i | ||||
\(95\) | −21.8090 | − | 21.8090i | −0.229569 | − | 0.229569i | ||||
\(96\) | 196.839i | 2.05041i | ||||||||
\(97\) | − | 60.2020i | − | 0.620639i | −0.950632 | − | 0.310320i | \(-0.899564\pi\) | ||
0.950632 | − | 0.310320i | \(-0.100436\pi\) | |||||||
\(98\) | 14.8201 | − | 14.8201i | 0.151226 | − | 0.151226i | ||||
\(99\) | −58.0202 | − | 58.0202i | −0.586063 | − | 0.586063i | ||||
\(100\) | 32.2742 | 0.322742 | ||||||||
\(101\) | 91.8868 | 0.909771 | 0.454885 | − | 0.890550i | \(-0.349680\pi\) | ||||
0.454885 | + | 0.890550i | \(0.349680\pi\) | |||||||
\(102\) | −272.390 | + | 272.390i | −2.67049 | + | 2.67049i | ||||
\(103\) | 62.2623 | − | 62.2623i | 0.604489 | − | 0.604489i | −0.337012 | − | 0.941500i | \(-0.609416\pi\) |
0.941500 | + | 0.337012i | \(0.109416\pi\) | |||||||
\(104\) | −46.6998 | −0.449037 | ||||||||
\(105\) | −136.707 | −1.30197 | ||||||||
\(106\) | −147.213 | + | 147.213i | −1.38880 | + | 1.38880i | ||||
\(107\) | − | 83.3414i | − | 0.778892i | −0.921049 | − | 0.389446i | \(-0.872666\pi\) | ||
0.921049 | − | 0.389446i | \(-0.127334\pi\) | |||||||
\(108\) | −6.35349 | + | 6.35349i | −0.0588286 | + | 0.0588286i | ||||
\(109\) | − | 36.2540i | − | 0.332606i | −0.986075 | − | 0.166303i | \(-0.946817\pi\) | ||
0.986075 | − | 0.166303i | \(-0.0531829\pi\) | |||||||
\(110\) | −76.6618 | − | 76.6618i | −0.696926 | − | 0.696926i | ||||
\(111\) | −95.6100 | + | 95.6100i | −0.861352 | + | 0.861352i | ||||
\(112\) | 97.5890i | 0.871330i | ||||||||
\(113\) | −11.5798 | − | 11.5798i | −0.102476 | − | 0.102476i | 0.654010 | − | 0.756486i | \(-0.273086\pi\) |
−0.756486 | + | 0.654010i | \(0.773086\pi\) | |||||||
\(114\) | −91.6749 | −0.804166 | ||||||||
\(115\) | 102.597 | − | 102.597i | 0.892147 | − | 0.892147i | ||||
\(116\) | − | 133.947i | − | 1.15472i | ||||||
\(117\) | 165.658 | + | 165.658i | 1.41588 | + | 1.41588i | ||||
\(118\) | 206.348 | − | 206.348i | 1.74871 | − | 1.74871i | ||||
\(119\) | −161.623 | + | 161.623i | −1.35817 | + | 1.35817i | ||||
\(120\) | −24.3070 | + | 24.3070i | −0.202558 | + | 0.202558i | ||||
\(121\) | 45.6197i | 0.377022i | ||||||||
\(122\) | −84.2547 | + | 84.2547i | −0.690613 | + | 0.690613i | ||||
\(123\) | −197.239 | − | 197.239i | −1.60357 | − | 1.60357i | ||||
\(124\) | 63.8101 | + | 63.8101i | 0.514597 | + | 0.514597i | ||||
\(125\) | −95.9845 | − | 95.9845i | −0.767876 | − | 0.767876i | ||||
\(126\) | −147.173 | + | 147.173i | −1.16804 | + | 1.16804i | ||||
\(127\) | 7.11537i | 0.0560265i | 0.999608 | + | 0.0280133i | \(0.00891806\pi\) | ||||
−0.999608 | + | 0.0280133i | \(0.991082\pi\) | |||||||
\(128\) | 42.0802 | + | 42.0802i | 0.328751 | + | 0.328751i | ||||
\(129\) | 139.251 | + | 139.251i | 1.07946 | + | 1.07946i | ||||
\(130\) | 218.883 | + | 218.883i | 1.68372 | + | 1.68372i | ||||
\(131\) | 25.0179 | − | 25.0179i | 0.190976 | − | 0.190976i | −0.605142 | − | 0.796118i | \(-0.706884\pi\) |
0.796118 | + | 0.605142i | \(0.206884\pi\) | |||||||
\(132\) | −173.076 | −1.31118 | ||||||||
\(133\) | −54.3954 | −0.408988 | ||||||||
\(134\) | − | 47.9244i | − | 0.357644i | ||||||
\(135\) | 8.22458 | 0.0609228 | ||||||||
\(136\) | 57.4742i | 0.422605i | ||||||||
\(137\) | 101.198i | 0.738672i | 0.929296 | + | 0.369336i | \(0.120415\pi\) | ||||
−0.929296 | + | 0.369336i | \(0.879585\pi\) | |||||||
\(138\) | − | 431.269i | − | 3.12514i | ||||||
\(139\) | −6.07892 | − | 6.07892i | −0.0437332 | − | 0.0437332i | 0.684902 | − | 0.728635i | \(-0.259845\pi\) |
−0.728635 | + | 0.684902i | \(0.759845\pi\) | |||||||
\(140\) | −104.440 | + | 104.440i | −0.746003 | + | 0.746003i | ||||
\(141\) | −91.3304 | − | 91.3304i | −0.647733 | − | 0.647733i | ||||
\(142\) | −70.1797 | −0.494224 | ||||||||
\(143\) | 215.224i | 1.50506i | ||||||||
\(144\) | − | 123.103i | − | 0.854883i | ||||||
\(145\) | −86.6972 | + | 86.6972i | −0.597912 | + | 0.597912i | ||||
\(146\) | 145.085i | 0.993735i | ||||||||
\(147\) | −21.6561 | + | 21.6561i | −0.147320 | + | 0.147320i | ||||
\(148\) | 146.087i | 0.987074i | ||||||||
\(149\) | −2.99499 | − | 2.99499i | −0.0201006 | − | 0.0201006i | 0.696985 | − | 0.717086i | \(-0.254524\pi\) |
−0.717086 | + | 0.696985i | \(0.754524\pi\) | |||||||
\(150\) | −87.8095 | −0.585397 | ||||||||
\(151\) | 43.7021 | + | 43.7021i | 0.289418 | + | 0.289418i | 0.836850 | − | 0.547432i | \(-0.184395\pi\) |
−0.547432 | + | 0.836850i | \(0.684395\pi\) | |||||||
\(152\) | −9.67170 | + | 9.67170i | −0.0636296 | + | 0.0636296i | ||||
\(153\) | 203.878 | − | 203.878i | 1.33254 | − | 1.33254i | ||||
\(154\) | −191.208 | −1.24161 | ||||||||
\(155\) | − | 82.6020i | − | 0.532916i | ||||||
\(156\) | 494.162 | 3.16770 | ||||||||
\(157\) | − | 63.5874i | − | 0.405015i | −0.979281 | − | 0.202508i | \(-0.935091\pi\) | ||
0.979281 | − | 0.202508i | \(-0.0649091\pi\) | |||||||
\(158\) | 43.9578 | 0.278214 | ||||||||
\(159\) | 215.117 | − | 215.117i | 1.35293 | − | 1.35293i | ||||
\(160\) | − | 194.667i | − | 1.21667i | ||||||
\(161\) | − | 255.894i | − | 1.58940i | ||||||
\(162\) | −159.510 | + | 159.510i | −0.984628 | + | 0.984628i | ||||
\(163\) | 237.606i | 1.45770i | 0.684671 | + | 0.728852i | \(0.259946\pi\) | ||||
−0.684671 | + | 0.728852i | \(0.740054\pi\) | |||||||
\(164\) | −301.370 | −1.83762 | ||||||||
\(165\) | 112.023 | + | 112.023i | 0.678927 | + | 0.678927i | ||||
\(166\) | 228.437 | + | 228.437i | 1.37613 | + | 1.37613i | ||||
\(167\) | −45.3411 | + | 45.3411i | −0.271504 | + | 0.271504i | −0.829705 | − | 0.558202i | \(-0.811492\pi\) |
0.558202 | + | 0.829705i | \(0.311492\pi\) | |||||||
\(168\) | 60.6257i | 0.360868i | ||||||||
\(169\) | − | 445.504i | − | 2.63612i | ||||||
\(170\) | 269.383 | − | 269.383i | 1.58461 | − | 1.58461i | ||||
\(171\) | 68.6168 | 0.401268 | ||||||||
\(172\) | 212.767 | 1.23702 | ||||||||
\(173\) | 283.952i | 1.64134i | 0.571403 | + | 0.820669i | \(0.306399\pi\) | ||||
−0.571403 | + | 0.820669i | \(0.693601\pi\) | |||||||
\(174\) | 364.434i | 2.09445i | ||||||||
\(175\) | −52.1018 | −0.297725 | ||||||||
\(176\) | 79.9682 | − | 79.9682i | 0.454365 | − | 0.454365i | ||||
\(177\) | −301.528 | + | 301.528i | −1.70355 | + | 1.70355i | ||||
\(178\) | −316.919 | −1.78044 | ||||||||
\(179\) | 91.1931 | − | 91.1931i | 0.509459 | − | 0.509459i | −0.404901 | − | 0.914360i | \(-0.632694\pi\) |
0.914360 | + | 0.404901i | \(0.132694\pi\) | |||||||
\(180\) | 131.746 | − | 131.746i | 0.731921 | − | 0.731921i | ||||
\(181\) | 121.101i | 0.669067i | 0.942384 | + | 0.334533i | \(0.108579\pi\) | ||||
−0.942384 | + | 0.334533i | \(0.891421\pi\) | |||||||
\(182\) | 545.932 | 2.99963 | ||||||||
\(183\) | 123.118 | − | 123.118i | 0.672777 | − | 0.672777i | ||||
\(184\) | −45.4989 | − | 45.4989i | −0.247277 | − | 0.247277i | ||||
\(185\) | 94.5547 | − | 94.5547i | 0.511106 | − | 0.511106i | ||||
\(186\) | −173.610 | − | 173.610i | −0.933387 | − | 0.933387i | ||||
\(187\) | 264.880 | 1.41647 | ||||||||
\(188\) | −139.548 | −0.742276 | ||||||||
\(189\) | 10.2567 | − | 10.2567i | 0.0542685 | − | 0.0542685i | ||||
\(190\) | 90.6630 | 0.477174 | ||||||||
\(191\) | −297.372 | −1.55692 | −0.778461 | − | 0.627693i | \(-0.783999\pi\) | ||||
−0.778461 | + | 0.627693i | \(0.783999\pi\) | |||||||
\(192\) | −250.889 | − | 250.889i | −1.30671 | − | 1.30671i | ||||
\(193\) | 275.984 | 1.42997 | 0.714984 | − | 0.699141i | \(-0.246434\pi\) | ||||
0.714984 | + | 0.699141i | \(0.246434\pi\) | |||||||
\(194\) | 125.134 | + | 125.134i | 0.645020 | + | 0.645020i | ||||
\(195\) | −319.846 | − | 319.846i | −1.64023 | − | 1.64023i | ||||
\(196\) | 33.0893i | 0.168823i | ||||||||
\(197\) | −14.5199 | + | 196.464i | −0.0737052 | + | 0.997280i | ||||
\(198\) | 241.198 | 1.21817 | ||||||||
\(199\) | 96.4865 | − | 96.4865i | 0.484857 | − | 0.484857i | −0.421822 | − | 0.906679i | \(-0.638609\pi\) |
0.906679 | + | 0.421822i | \(0.138609\pi\) | |||||||
\(200\) | −9.26389 | + | 9.26389i | −0.0463195 | + | 0.0463195i | ||||
\(201\) | 70.0300i | 0.348408i | ||||||||
\(202\) | −190.993 | + | 190.993i | −0.945509 | + | 0.945509i | ||||
\(203\) | 216.237i | 1.06521i | ||||||||
\(204\) | − | 608.173i | − | 2.98124i | ||||||
\(205\) | 195.062 | + | 195.062i | 0.951520 | + | 0.951520i | ||||
\(206\) | 258.833i | 1.25647i | ||||||||
\(207\) | 322.796i | 1.55940i | ||||||||
\(208\) | −228.324 | + | 228.324i | −1.09771 | + | 1.09771i | ||||
\(209\) | 44.5737 | + | 44.5737i | 0.213271 | + | 0.213271i | ||||
\(210\) | 284.154 | − | 284.154i | 1.35312 | − | 1.35312i | ||||
\(211\) | 33.2248 | + | 33.2248i | 0.157464 | + | 0.157464i | 0.781442 | − | 0.623978i | \(-0.214485\pi\) |
−0.623978 | + | 0.781442i | \(0.714485\pi\) | |||||||
\(212\) | − | 328.687i | − | 1.55041i | ||||||
\(213\) | 102.551 | 0.481460 | ||||||||
\(214\) | 173.231 | + | 173.231i | 0.809489 | + | 0.809489i | ||||
\(215\) | −137.714 | − | 137.714i | −0.640528 | − | 0.640528i | ||||
\(216\) | − | 3.64737i | − | 0.0168860i | ||||||
\(217\) | −103.012 | − | 103.012i | −0.474708 | − | 0.474708i | ||||
\(218\) | 75.3564 | + | 75.3564i | 0.345671 | + | 0.345671i | ||||
\(219\) | − | 212.008i | − | 0.968071i | ||||||
\(220\) | 171.165 | 0.778023 | ||||||||
\(221\) | −756.280 | −3.42208 | ||||||||
\(222\) | − | 397.464i | − | 1.79038i | ||||||
\(223\) | − | 85.9628i | − | 0.385483i | −0.981250 | − | 0.192742i | \(-0.938262\pi\) | ||
0.981250 | − | 0.192742i | \(-0.0617379\pi\) | |||||||
\(224\) | −242.766 | − | 242.766i | −1.08378 | − | 1.08378i | ||||
\(225\) | 65.7236 | 0.292105 | ||||||||
\(226\) | 48.1389 | 0.213004 | ||||||||
\(227\) | 221.214 | + | 221.214i | 0.974512 | + | 0.974512i | 0.999683 | − | 0.0251710i | \(-0.00801303\pi\) |
−0.0251710 | + | 0.999683i | \(0.508013\pi\) | |||||||
\(228\) | 102.343 | − | 102.343i | 0.448871 | − | 0.448871i | ||||
\(229\) | −87.0630 | + | 87.0630i | −0.380188 | + | 0.380188i | −0.871170 | − | 0.490982i | \(-0.836638\pi\) |
0.490982 | + | 0.871170i | \(0.336638\pi\) | |||||||
\(230\) | 426.509i | 1.85439i | ||||||||
\(231\) | 279.404 | 1.20954 | ||||||||
\(232\) | 38.4478 | + | 38.4478i | 0.165723 | + | 0.165723i | ||||
\(233\) | −334.722 | −1.43657 | −0.718287 | − | 0.695747i | \(-0.755073\pi\) | ||||
−0.718287 | + | 0.695747i | \(0.755073\pi\) | |||||||
\(234\) | −688.663 | −2.94300 | ||||||||
\(235\) | 90.3223 | + | 90.3223i | 0.384350 | + | 0.384350i | ||||
\(236\) | 460.719i | 1.95220i | ||||||||
\(237\) | −64.2338 | −0.271029 | ||||||||
\(238\) | − | 671.887i | − | 2.82306i | ||||||
\(239\) | −41.5641 | −0.173909 | −0.0869543 | − | 0.996212i | \(-0.527713\pi\) | ||||
−0.0869543 | + | 0.996212i | \(0.527713\pi\) | |||||||
\(240\) | 237.682i | 0.990343i | ||||||||
\(241\) | 56.6293 | + | 56.6293i | 0.234976 | + | 0.234976i | 0.814766 | − | 0.579790i | \(-0.196865\pi\) |
−0.579790 | + | 0.814766i | \(0.696865\pi\) | |||||||
\(242\) | −94.8236 | − | 94.8236i | −0.391833 | − | 0.391833i | ||||
\(243\) | 245.407 | − | 245.407i | 1.00990 | − | 1.00990i | ||||
\(244\) | − | 188.118i | − | 0.770975i | ||||||
\(245\) | 21.4170 | − | 21.4170i | 0.0874164 | − | 0.0874164i | ||||
\(246\) | 819.947 | 3.33312 | ||||||||
\(247\) | −127.266 | − | 127.266i | −0.515246 | − | 0.515246i | ||||
\(248\) | −36.6317 | −0.147708 | ||||||||
\(249\) | −333.807 | − | 333.807i | −1.34059 | − | 1.34059i | ||||
\(250\) | 399.020 | 1.59608 | ||||||||
\(251\) | −370.912 | −1.47774 | −0.738869 | − | 0.673849i | \(-0.764640\pi\) | ||||
−0.738869 | + | 0.673849i | \(0.764640\pi\) | |||||||
\(252\) | − | 328.596i | − | 1.30395i | ||||||
\(253\) | −209.690 | + | 209.690i | −0.828812 | + | 0.828812i | ||||
\(254\) | −14.7898 | − | 14.7898i | −0.0582274 | − | 0.0582274i | ||||
\(255\) | −393.639 | + | 393.639i | −1.54368 | + | 1.54368i | ||||
\(256\) | 155.475 | 0.607323 | ||||||||
\(257\) | 223.521 | 0.869733 | 0.434867 | − | 0.900495i | \(-0.356795\pi\) | ||||
0.434867 | + | 0.900495i | \(0.356795\pi\) | |||||||
\(258\) | −578.883 | −2.24373 | ||||||||
\(259\) | − | 235.835i | − | 0.910561i | ||||||
\(260\) | −488.707 | −1.87964 | ||||||||
\(261\) | − | 272.772i | − | 1.04510i | ||||||
\(262\) | 104.003i | 0.396956i | ||||||||
\(263\) | 236.816 | + | 236.816i | 0.900443 | + | 0.900443i | 0.995474 | − | 0.0950316i | \(-0.0302952\pi\) |
−0.0950316 | + | 0.995474i | \(0.530295\pi\) | |||||||
\(264\) | 49.6791 | − | 49.6791i | 0.188178 | − | 0.188178i | ||||
\(265\) | −212.742 | + | 212.742i | −0.802800 | + | 0.802800i | ||||
\(266\) | 113.064 | − | 113.064i | 0.425054 | − | 0.425054i | ||||
\(267\) | 463.101 | 1.73446 | ||||||||
\(268\) | 53.5011 | + | 53.5011i | 0.199631 | + | 0.199631i | ||||
\(269\) | −35.0061 | + | 35.0061i | −0.130134 | + | 0.130134i | −0.769174 | − | 0.639040i | \(-0.779332\pi\) |
0.639040 | + | 0.769174i | \(0.279332\pi\) | |||||||
\(270\) | −17.0953 | + | 17.0953i | −0.0633161 | + | 0.0633161i | ||||
\(271\) | 55.3193 | − | 55.3193i | 0.204130 | − | 0.204130i | −0.597637 | − | 0.801767i | \(-0.703893\pi\) |
0.801767 | + | 0.597637i | \(0.203893\pi\) | |||||||
\(272\) | 281.002 | + | 281.002i | 1.03309 | + | 1.03309i | ||||
\(273\) | −797.749 | −2.92216 | ||||||||
\(274\) | −210.347 | − | 210.347i | −0.767689 | − | 0.767689i | ||||
\(275\) | 42.6943 | + | 42.6943i | 0.155252 | + | 0.155252i | ||||
\(276\) | 481.454 | + | 481.454i | 1.74440 | + | 1.74440i | ||||
\(277\) | −367.087 | + | 367.087i | −1.32523 | + | 1.32523i | −0.415743 | + | 0.909482i | \(0.636479\pi\) |
−0.909482 | + | 0.415743i | \(0.863521\pi\) | |||||||
\(278\) | 25.2709 | 0.0909024 | ||||||||
\(279\) | 129.944 | + | 129.944i | 0.465748 | + | 0.465748i | ||||
\(280\) | − | 59.9566i | − | 0.214131i | ||||||
\(281\) | 331.815 | − | 331.815i | 1.18084 | − | 1.18084i | 0.201310 | − | 0.979528i | \(-0.435480\pi\) |
0.979528 | − | 0.201310i | \(-0.0645199\pi\) | |||||||
\(282\) | 379.672 | 1.34636 | ||||||||
\(283\) | 80.4176 | + | 80.4176i | 0.284161 | + | 0.284161i | 0.834766 | − | 0.550605i | \(-0.185603\pi\) |
−0.550605 | + | 0.834766i | \(0.685603\pi\) | |||||||
\(284\) | 78.3462 | − | 78.3462i | 0.275867 | − | 0.275867i | ||||
\(285\) | −132.482 | −0.464850 | ||||||||
\(286\) | −447.358 | − | 447.358i | −1.56419 | − | 1.56419i | ||||
\(287\) | 486.517 | 1.69518 | ||||||||
\(288\) | 306.235 | + | 306.235i | 1.06332 | + | 1.06332i | ||||
\(289\) | 641.766i | 2.22064i | ||||||||
\(290\) | − | 360.412i | − | 1.24280i | ||||||
\(291\) | −182.853 | − | 182.853i | −0.628362 | − | 0.628362i | ||||
\(292\) | −161.968 | − | 161.968i | −0.554685 | − | 0.554685i | ||||
\(293\) | 113.035i | 0.385786i | 0.981220 | + | 0.192893i | \(0.0617870\pi\) | ||||
−0.981220 | + | 0.192893i | \(0.938213\pi\) | |||||||
\(294\) | − | 90.0271i | − | 0.306215i | ||||||
\(295\) | 298.200 | − | 298.200i | 1.01085 | − | 1.01085i | ||||
\(296\) | −41.9324 | − | 41.9324i | −0.141663 | − | 0.141663i | ||||
\(297\) | −16.8096 | −0.0565978 | ||||||||
\(298\) | 12.4506 | 0.0417804 | ||||||||
\(299\) | 598.701 | − | 598.701i | 2.00234 | − | 2.00234i | ||||
\(300\) | 98.0274 | − | 98.0274i | 0.326758 | − | 0.326758i | ||||
\(301\) | −343.481 | −1.14113 | ||||||||
\(302\) | −181.675 | −0.601574 | ||||||||
\(303\) | 279.091 | − | 279.091i | 0.921091 | − | 0.921091i | ||||
\(304\) | 94.5732i | 0.311096i | ||||||||
\(305\) | −121.759 | + | 121.759i | −0.399211 | + | 0.399211i | ||||
\(306\) | 847.549i | 2.76977i | ||||||||
\(307\) | −290.660 | − | 290.660i | −0.946775 | − | 0.946775i | 0.0518785 | − | 0.998653i | \(-0.483479\pi\) |
−0.998653 | + | 0.0518785i | \(0.983479\pi\) | |||||||
\(308\) | 213.457 | − | 213.457i | 0.693044 | − | 0.693044i | ||||
\(309\) | − | 378.222i | − | 1.22402i | ||||||
\(310\) | 171.694 | + | 171.694i | 0.553851 | + | 0.553851i | ||||
\(311\) | 242.419 | 0.779484 | 0.389742 | − | 0.920924i | \(-0.372564\pi\) | ||||
0.389742 | + | 0.920924i | \(0.372564\pi\) | |||||||
\(312\) | −141.843 | + | 141.843i | −0.454624 | + | 0.454624i | ||||
\(313\) | − | 127.668i | − | 0.407884i | −0.978983 | − | 0.203942i | \(-0.934625\pi\) | ||
0.978983 | − | 0.203942i | \(-0.0653754\pi\) | |||||||
\(314\) | 132.171 | + | 132.171i | 0.420925 | + | 0.420925i | ||||
\(315\) | −212.684 | + | 212.684i | −0.675187 | + | 0.675187i | ||||
\(316\) | −49.0729 | + | 49.0729i | −0.155294 | + | 0.155294i | ||||
\(317\) | 299.989 | − | 299.989i | 0.946339 | − | 0.946339i | −0.0522932 | − | 0.998632i | \(-0.516653\pi\) |
0.998632 | + | 0.0522932i | \(0.0166530\pi\) | |||||||
\(318\) | 894.268i | 2.81216i | ||||||||
\(319\) | 177.193 | − | 177.193i | 0.555465 | − | 0.555465i | ||||
\(320\) | 248.120 | + | 248.120i | 0.775375 | + | 0.775375i | ||||
\(321\) | −253.135 | − | 253.135i | −0.788584 | − | 0.788584i | ||||
\(322\) | 531.893 | + | 531.893i | 1.65184 | + | 1.65184i | ||||
\(323\) | −156.628 | + | 156.628i | −0.484917 | + | 0.484917i | ||||
\(324\) | − | 356.142i | − | 1.09920i | ||||||
\(325\) | −121.900 | − | 121.900i | −0.375076 | − | 0.375076i | ||||
\(326\) | −493.879 | − | 493.879i | −1.51497 | − | 1.51497i | ||||
\(327\) | −110.115 | − | 110.115i | −0.336744 | − | 0.336744i | ||||
\(328\) | 86.5044 | − | 86.5044i | 0.263733 | − | 0.263733i | ||||
\(329\) | 225.279 | 0.684739 | ||||||||
\(330\) | −465.694 | −1.41120 | ||||||||
\(331\) | 262.561i | 0.793237i | 0.917984 | + | 0.396618i | \(0.129816\pi\) | ||||
−0.917984 | + | 0.396618i | \(0.870184\pi\) | |||||||
\(332\) | −510.039 | −1.53626 | ||||||||
\(333\) | 297.493i | 0.893373i | ||||||||
\(334\) | − | 188.489i | − | 0.564338i | ||||||
\(335\) | − | 69.2570i | − | 0.206737i | ||||||
\(336\) | 296.410 | + | 296.410i | 0.882172 | + | 0.882172i | ||||
\(337\) | −83.0734 | + | 83.0734i | −0.246509 | + | 0.246509i | −0.819536 | − | 0.573027i | \(-0.805769\pi\) |
0.573027 | + | 0.819536i | \(0.305769\pi\) | |||||||
\(338\) | 926.009 | + | 926.009i | 2.73967 | + | 2.73967i | ||||
\(339\) | −70.3435 | −0.207503 | ||||||||
\(340\) | 601.460i | 1.76900i | ||||||||
\(341\) | 168.824i | 0.495084i | ||||||||
\(342\) | −142.625 | + | 142.625i | −0.417031 | + | 0.417031i | ||||
\(343\) | 313.690i | 0.914548i | ||||||||
\(344\) | −61.0721 | + | 61.0721i | −0.177535 | + | 0.177535i | ||||
\(345\) | − | 623.241i | − | 1.80650i | ||||||
\(346\) | −590.212 | − | 590.212i | −1.70582 | − | 1.70582i | ||||
\(347\) | 430.991 | 1.24205 | 0.621025 | − | 0.783791i | \(-0.286717\pi\) | ||||
0.621025 | + | 0.783791i | \(0.286717\pi\) | |||||||
\(348\) | −406.842 | − | 406.842i | −1.16908 | − | 1.16908i | ||||
\(349\) | 55.6315 | − | 55.6315i | 0.159402 | − | 0.159402i | −0.622899 | − | 0.782302i | \(-0.714045\pi\) |
0.782302 | + | 0.622899i | \(0.214045\pi\) | |||||||
\(350\) | 108.297 | − | 108.297i | 0.309420 | − | 0.309420i | ||||
\(351\) | 47.9943 | 0.136736 | ||||||||
\(352\) | 397.863i | 1.13029i | ||||||||
\(353\) | 188.069 | 0.532773 | 0.266386 | − | 0.963866i | \(-0.414170\pi\) | ||||
0.266386 | + | 0.963866i | \(0.414170\pi\) | |||||||
\(354\) | − | 1253.49i | − | 3.54094i | ||||||
\(355\) | −101.419 | −0.285687 | ||||||||
\(356\) | 353.797 | − | 353.797i | 0.993812 | − | 0.993812i | ||||
\(357\) | 981.803i | 2.75015i | ||||||||
\(358\) | 379.102i | 1.05894i | ||||||||
\(359\) | 435.070 | − | 435.070i | 1.21189 | − | 1.21189i | 0.241489 | − | 0.970403i | \(-0.422364\pi\) |
0.970403 | − | 0.241489i | \(-0.0776359\pi\) | |||||||
\(360\) | 75.6319i | 0.210089i | ||||||||
\(361\) | 308.286 | 0.853977 | ||||||||
\(362\) | −251.717 | − | 251.717i | −0.695350 | − | 0.695350i | ||||
\(363\) | 138.562 | + | 138.562i | 0.381714 | + | 0.381714i | ||||
\(364\) | −609.459 | + | 609.459i | −1.67434 | + | 1.67434i | ||||
\(365\) | 209.667i | 0.574431i | ||||||||
\(366\) | 511.819i | 1.39841i | ||||||||
\(367\) | 227.135 | − | 227.135i | 0.618895 | − | 0.618895i | −0.326353 | − | 0.945248i | \(-0.605820\pi\) |
0.945248 | + | 0.326353i | \(0.105820\pi\) | |||||||
\(368\) | −444.904 | −1.20898 | ||||||||
\(369\) | −613.714 | −1.66318 | ||||||||
\(370\) | 393.076i | 1.06237i | ||||||||
\(371\) | 530.615i | 1.43023i | ||||||||
\(372\) | 387.624 | 1.04200 | ||||||||
\(373\) | 414.029 | − | 414.029i | 1.11000 | − | 1.11000i | 0.116848 | − | 0.993150i | \(-0.462721\pi\) |
0.993150 | − | 0.116848i | \(-0.0372790\pi\) | |||||||
\(374\) | −550.571 | + | 550.571i | −1.47211 | + | 1.47211i | ||||
\(375\) | −583.073 | −1.55486 | ||||||||
\(376\) | 40.0554 | − | 40.0554i | 0.106530 | − | 0.106530i | ||||
\(377\) | −505.919 | + | 505.919i | −1.34196 | + | 1.34196i | ||||
\(378\) | 42.6387i | 0.112801i | ||||||||
\(379\) | −288.367 | −0.760863 | −0.380432 | − | 0.924809i | \(-0.624225\pi\) | ||||
−0.380432 | + | 0.924809i | \(0.624225\pi\) | |||||||
\(380\) | −101.213 | + | 101.213i | −0.266350 | + | 0.266350i | ||||
\(381\) | 21.6117 | + | 21.6117i | 0.0567236 | + | 0.0567236i | ||||
\(382\) | 618.108 | − | 618.108i | 1.61808 | − | 1.61808i | ||||
\(383\) | −164.804 | − | 164.804i | −0.430297 | − | 0.430297i | 0.458432 | − | 0.888729i | \(-0.348411\pi\) |
−0.888729 | + | 0.458432i | \(0.848411\pi\) | |||||||
\(384\) | 255.623 | 0.665684 | ||||||||
\(385\) | −276.320 | −0.717715 | ||||||||
\(386\) | −573.650 | + | 573.650i | −1.48614 | + | 1.48614i | ||||
\(387\) | 433.282 | 1.11959 | ||||||||
\(388\) | −279.390 | −0.720078 | ||||||||
\(389\) | −115.237 | − | 115.237i | −0.296239 | − | 0.296239i | 0.543300 | − | 0.839539i | \(-0.317175\pi\) |
−0.839539 | + | 0.543300i | \(0.817175\pi\) | |||||||
\(390\) | 1329.64 | 3.40934 | ||||||||
\(391\) | −736.831 | − | 736.831i | −1.88448 | − | 1.88448i | ||||
\(392\) | −9.49785 | − | 9.49785i | −0.0242292 | − | 0.0242292i | ||||
\(393\) | − | 151.975i | − | 0.386705i | ||||||
\(394\) | −378.183 | − | 438.544i | −0.959856 | − | 1.11306i | ||||
\(395\) | 63.5248 | 0.160822 | ||||||||
\(396\) | −269.265 | + | 269.265i | −0.679961 | + | 0.679961i | ||||
\(397\) | 234.751 | − | 234.751i | 0.591311 | − | 0.591311i | −0.346674 | − | 0.937986i | \(-0.612689\pi\) |
0.937986 | + | 0.346674i | \(0.112689\pi\) | |||||||
\(398\) | 401.107i | 1.00781i | ||||||||
\(399\) | −165.217 | + | 165.217i | −0.414077 | + | 0.414077i | ||||
\(400\) | 90.5856i | 0.226464i | ||||||||
\(401\) | − | 7.18407i | − | 0.0179154i | −0.999960 | − | 0.00895769i | \(-0.997149\pi\) | ||
0.999960 | − | 0.00895769i | \(-0.00285136\pi\) | |||||||
\(402\) | −145.562 | − | 145.562i | −0.362095 | − | 0.362095i | ||||
\(403\) | − | 482.021i | − | 1.19608i | ||||||
\(404\) | − | 426.435i | − | 1.05553i | ||||||
\(405\) | −230.513 | + | 230.513i | −0.569167 | + | 0.569167i | ||||
\(406\) | −449.464 | − | 449.464i | −1.10705 | − | 1.10705i | ||||
\(407\) | −193.253 | + | 193.253i | −0.474822 | + | 0.474822i | ||||
\(408\) | 174.568 | + | 174.568i | 0.427863 | + | 0.427863i | ||||
\(409\) | − | 517.420i | − | 1.26509i | −0.774526 | − | 0.632543i | \(-0.782011\pi\) | ||
0.774526 | − | 0.632543i | \(-0.217989\pi\) | |||||||
\(410\) | −810.897 | −1.97780 | ||||||||
\(411\) | 307.372 | + | 307.372i | 0.747863 | + | 0.747863i | ||||
\(412\) | −288.952 | − | 288.952i | −0.701339 | − | 0.701339i | ||||
\(413\) | − | 743.761i | − | 1.80087i | ||||||
\(414\) | −670.953 | − | 670.953i | −1.62066 | − | 1.62066i | ||||
\(415\) | 330.122 | + | 330.122i | 0.795475 | + | 0.795475i | ||||
\(416\) | − | 1135.97i | − | 2.73070i | ||||||
\(417\) | −36.9273 | −0.0885548 | ||||||||
\(418\) | −185.299 | −0.443298 | ||||||||
\(419\) | − | 5.11987i | − | 0.0122193i | −0.999981 | − | 0.00610963i | \(-0.998055\pi\) | ||
0.999981 | − | 0.00610963i | \(-0.00194477\pi\) | |||||||
\(420\) | 634.440i | 1.51057i | ||||||||
\(421\) | 429.558 | + | 429.558i | 1.02033 | + | 1.02033i | 0.999789 | + | 0.0205384i | \(0.00653803\pi\) |
0.0205384 | + | 0.999789i | \(0.493462\pi\) | |||||||
\(422\) | −138.120 | −0.327299 | ||||||||
\(423\) | −284.177 | −0.671813 | ||||||||
\(424\) | 94.3452 | + | 94.3452i | 0.222512 | + | 0.222512i | ||||
\(425\) | −150.024 | + | 150.024i | −0.352998 | + | 0.352998i | ||||
\(426\) | −213.159 | + | 213.159i | −0.500373 | + | 0.500373i | ||||
\(427\) | 303.688i | 0.711213i | ||||||||
\(428\) | −386.777 | −0.903685 | ||||||||
\(429\) | 653.707 | + | 653.707i | 1.52379 | + | 1.52379i | ||||
\(430\) | 572.494 | 1.33138 | ||||||||
\(431\) | 297.003 | 0.689102 | 0.344551 | − | 0.938768i | \(-0.388031\pi\) | ||||
0.344551 | + | 0.938768i | \(0.388031\pi\) | |||||||
\(432\) | −17.8326 | − | 17.8326i | −0.0412793 | − | 0.0412793i | ||||
\(433\) | 829.652i | 1.91605i | 0.286677 | + | 0.958027i | \(0.407449\pi\) | ||||
−0.286677 | + | 0.958027i | \(0.592551\pi\) | |||||||
\(434\) | 428.233 | 0.986713 | ||||||||
\(435\) | 526.656i | 1.21070i | ||||||||
\(436\) | −168.250 | −0.385895 | ||||||||
\(437\) | − | 247.986i | − | 0.567474i | ||||||
\(438\) | 440.672 | + | 440.672i | 1.00610 | + | 1.00610i | ||||
\(439\) | 40.8351 | + | 40.8351i | 0.0930184 | + | 0.0930184i | 0.752085 | − | 0.659066i | \(-0.229048\pi\) |
−0.659066 | + | 0.752085i | \(0.729048\pi\) | |||||||
\(440\) | −49.1307 | + | 49.1307i | −0.111661 | + | 0.111661i | ||||
\(441\) | 67.3834i | 0.152797i | ||||||||
\(442\) | 1571.98 | − | 1571.98i | 3.55651 | − | 3.55651i | ||||
\(443\) | −131.765 | −0.297438 | −0.148719 | − | 0.988879i | \(-0.547515\pi\) | ||||
−0.148719 | + | 0.988879i | \(0.547515\pi\) | |||||||
\(444\) | 443.714 | + | 443.714i | 0.999356 | + | 0.999356i | ||||
\(445\) | −457.990 | −1.02919 | ||||||||
\(446\) | 178.679 | + | 178.679i | 0.400626 | + | 0.400626i | ||||
\(447\) | −18.1935 | −0.0407014 | ||||||||
\(448\) | 618.853 | 1.38137 | ||||||||
\(449\) | 0.494078i | 0.00110040i | 1.00000 | 0.000550198i | \(0.000175133\pi\) | |||||
−1.00000 | 0.000550198i | \(0.999825\pi\) | ||||||||
\(450\) | −136.611 | + | 136.611i | −0.303580 | + | 0.303580i | ||||
\(451\) | −398.671 | − | 398.671i | −0.883970 | − | 0.883970i | ||||
\(452\) | −53.7406 | + | 53.7406i | −0.118895 | + | 0.118895i | ||||
\(453\) | 265.475 | 0.586038 | ||||||||
\(454\) | −919.617 | −2.02559 | ||||||||
\(455\) | 788.944 | 1.73394 | ||||||||
\(456\) | 58.7522i | 0.128843i | ||||||||
\(457\) | −411.956 | −0.901436 | −0.450718 | − | 0.892666i | \(-0.648832\pi\) | ||||
−0.450718 | + | 0.892666i | \(0.648832\pi\) | |||||||
\(458\) | − | 361.933i | − | 0.790246i | ||||||
\(459\) | − | 59.0674i | − | 0.128687i | ||||||
\(460\) | −476.140 | − | 476.140i | −1.03509 | − | 1.03509i | ||||
\(461\) | 145.926 | − | 145.926i | 0.316542 | − | 0.316542i | −0.530895 | − | 0.847437i | \(-0.678144\pi\) |
0.847437 | + | 0.530895i | \(0.178144\pi\) | |||||||
\(462\) | −580.760 | + | 580.760i | −1.25706 | + | 1.25706i | ||||
\(463\) | 425.789 | − | 425.789i | 0.919631 | − | 0.919631i | −0.0773713 | − | 0.997002i | \(-0.524653\pi\) |
0.997002 | + | 0.0773713i | \(0.0246527\pi\) | |||||||
\(464\) | 375.956 | 0.810250 | ||||||||
\(465\) | −250.889 | − | 250.889i | −0.539547 | − | 0.539547i | ||||
\(466\) | 695.741 | − | 695.741i | 1.49301 | − | 1.49301i | ||||
\(467\) | −499.997 | + | 499.997i | −1.07066 | + | 1.07066i | −0.0733515 | + | 0.997306i | \(0.523369\pi\) |
−0.997306 | + | 0.0733515i | \(0.976631\pi\) | |||||||
\(468\) | 768.799 | − | 768.799i | 1.64273 | − | 1.64273i | ||||
\(469\) | −86.3694 | − | 86.3694i | −0.184156 | − | 0.184156i | ||||
\(470\) | −375.482 | −0.798897 | ||||||||
\(471\) | −193.136 | − | 193.136i | −0.410055 | − | 0.410055i | ||||
\(472\) | −132.243 | − | 132.243i | −0.280177 | − | 0.280177i | ||||
\(473\) | 281.462 | + | 281.462i | 0.595056 | + | 0.595056i | ||||
\(474\) | 133.514 | − | 133.514i | 0.281675 | − | 0.281675i | ||||
\(475\) | −50.4917 | −0.106298 | ||||||||
\(476\) | 750.071 | + | 750.071i | 1.57578 | + | 1.57578i | ||||
\(477\) | − | 669.341i | − | 1.40323i | ||||||
\(478\) | 86.3938 | − | 86.3938i | 0.180740 | − | 0.180740i | ||||
\(479\) | −54.4156 | −0.113602 | −0.0568012 | − | 0.998386i | \(-0.518090\pi\) | ||||
−0.0568012 | + | 0.998386i | \(0.518090\pi\) | |||||||
\(480\) | −591.266 | − | 591.266i | −1.23180 | − | 1.23180i | ||||
\(481\) | 551.771 | − | 551.771i | 1.14713 | − | 1.14713i | ||||
\(482\) | −235.415 | −0.488414 | ||||||||
\(483\) | −777.234 | − | 777.234i | −1.60918 | − | 1.60918i | ||||
\(484\) | 211.715 | 0.437429 | ||||||||
\(485\) | 180.835 | + | 180.835i | 0.372856 | + | 0.372856i | ||||
\(486\) | 1020.19i | 2.09915i | ||||||||
\(487\) | 170.938i | 0.351001i | 0.984479 | + | 0.175501i | \(0.0561544\pi\) | ||||
−0.984479 | + | 0.175501i | \(0.943846\pi\) | |||||||
\(488\) | 53.9968 | + | 53.9968i | 0.110649 | + | 0.110649i | ||||
\(489\) | 721.687 | + | 721.687i | 1.47584 | + | 1.47584i | ||||
\(490\) | 89.0334i | 0.181701i | ||||||||
\(491\) | 926.921i | 1.88782i | 0.330198 | + | 0.943912i | \(0.392885\pi\) | ||||
−0.330198 | + | 0.943912i | \(0.607115\pi\) | |||||||
\(492\) | −915.360 | + | 915.360i | −1.86049 | + | 1.86049i | ||||
\(493\) | 622.643 | + | 622.643i | 1.26297 | + | 1.26297i | ||||
\(494\) | 529.061 | 1.07097 | ||||||||
\(495\) | 348.563 | 0.704167 | ||||||||
\(496\) | −179.099 | + | 179.099i | −0.361086 | + | 0.361086i | ||||
\(497\) | −126.478 | + | 126.478i | −0.254483 | + | 0.254483i | ||||
\(498\) | 1387.68 | 2.78650 | ||||||||
\(499\) | −239.571 | −0.480102 | −0.240051 | − | 0.970760i | \(-0.577164\pi\) | ||||
−0.240051 | + | 0.970760i | \(0.577164\pi\) | |||||||
\(500\) | −445.452 | + | 445.452i | −0.890905 | + | 0.890905i | ||||
\(501\) | 275.432i | 0.549764i | ||||||||
\(502\) | 770.965 | − | 770.965i | 1.53579 | − | 1.53579i | ||||
\(503\) | − | 723.826i | − | 1.43902i | −0.694483 | − | 0.719509i | \(-0.744367\pi\) | ||
0.694483 | − | 0.719509i | \(-0.255633\pi\) | |||||||
\(504\) | 94.3194 | + | 94.3194i | 0.187142 | + | 0.187142i | ||||
\(505\) | −276.010 | + | 276.010i | −0.546554 | + | 0.546554i | ||||
\(506\) | − | 871.707i | − | 1.72274i | ||||||
\(507\) | −1353.14 | − | 1353.14i | −2.66892 | − | 2.66892i | ||||
\(508\) | 33.0215 | 0.0650030 | ||||||||
\(509\) | −0.481353 | + | 0.481353i | −0.000945683 | + | 0.000945683i | −0.707579 | − | 0.706634i | \(-0.750213\pi\) |
0.706634 | + | 0.707579i | \(0.250213\pi\) | |||||||
\(510\) | − | 1636.41i | − | 3.20865i | ||||||
\(511\) | 261.473 | + | 261.473i | 0.511689 | + | 0.511689i | ||||
\(512\) | −491.485 | + | 491.485i | −0.959932 | + | 0.959932i | ||||
\(513\) | 9.93979 | − | 9.93979i | 0.0193758 | − | 0.0193758i | ||||
\(514\) | −464.604 | + | 464.604i | −0.903899 | + | 0.903899i | ||||
\(515\) | 374.048i | 0.726306i | ||||||||
\(516\) | 646.245 | − | 646.245i | 1.25241 | − | 1.25241i | ||||
\(517\) | −184.602 | − | 184.602i | −0.357065 | − | 0.357065i | ||||
\(518\) | 490.199 | + | 490.199i | 0.946331 | + | 0.946331i | ||||
\(519\) | 862.454 | + | 862.454i | 1.66176 | + | 1.66176i | ||||
\(520\) | 140.277 | − | 140.277i | 0.269763 | − | 0.269763i | ||||
\(521\) | − | 586.451i | − | 1.12563i | −0.826584 | − | 0.562813i | \(-0.809719\pi\) | ||
0.826584 | − | 0.562813i | \(-0.190281\pi\) | |||||||
\(522\) | 566.974 | + | 566.974i | 1.08616 | + | 1.08616i | ||||
\(523\) | −723.390 | − | 723.390i | −1.38315 | − | 1.38315i | −0.838958 | − | 0.544196i | \(-0.816835\pi\) |
−0.544196 | − | 0.838958i | \(-0.683165\pi\) | |||||||
\(524\) | −116.105 | − | 116.105i | −0.221574 | − | 0.221574i | ||||
\(525\) | −158.250 | + | 158.250i | −0.301429 | + | 0.301429i | ||||
\(526\) | −984.477 | −1.87163 | ||||||||
\(527\) | −593.232 | −1.12568 | ||||||||
\(528\) | − | 485.780i | − | 0.920037i | ||||||
\(529\) | 637.610 | 1.20531 | ||||||||
\(530\) | − | 884.397i | − | 1.66867i | ||||||
\(531\) | 938.213i | 1.76688i | ||||||||
\(532\) | 252.442i | 0.474516i | ||||||||
\(533\) | 1138.28 | + | 1138.28i | 2.13560 | + | 2.13560i | ||||
\(534\) | −962.587 | + | 962.587i | −1.80260 | + | 1.80260i | ||||
\(535\) | 250.341 | + | 250.341i | 0.467928 | + | 0.467928i | ||||
\(536\) | −30.7136 | −0.0573014 | ||||||||
\(537\) | − | 553.967i | − | 1.03160i | ||||||
\(538\) | − | 145.525i | − | 0.270493i | ||||||
\(539\) | −43.7725 | + | 43.7725i | −0.0812106 | + | 0.0812106i | ||||
\(540\) | − | 38.1693i | − | 0.0706838i | ||||||
\(541\) | −164.561 | + | 164.561i | −0.304180 | + | 0.304180i | −0.842647 | − | 0.538467i | \(-0.819004\pi\) |
0.538467 | + | 0.842647i | \(0.319004\pi\) | |||||||
\(542\) | 229.970i | 0.424299i | ||||||||
\(543\) | 367.824 | + | 367.824i | 0.677392 | + | 0.677392i | ||||
\(544\) | −1398.06 | −2.56996 | ||||||||
\(545\) | 108.900 | + | 108.900i | 0.199816 | + | 0.199816i | ||||
\(546\) | 1658.17 | − | 1658.17i | 3.03695 | − | 3.03695i | ||||
\(547\) | 172.602 | − | 172.602i | 0.315543 | − | 0.315543i | −0.531510 | − | 0.847052i | \(-0.678375\pi\) |
0.847052 | + | 0.531510i | \(0.178375\pi\) | |||||||
\(548\) | 469.648 | 0.857021 | ||||||||
\(549\) | − | 383.086i | − | 0.697788i | ||||||
\(550\) | −177.486 | −0.322701 | ||||||||
\(551\) | 209.555i | 0.380318i | ||||||||
\(552\) | −276.390 | −0.500707 | ||||||||
\(553\) | 79.2208 | − | 79.2208i | 0.143256 | − | 0.143256i | ||||
\(554\) | − | 1526.03i | − | 2.75457i | ||||||
\(555\) | − | 574.387i | − | 1.03493i | ||||||
\(556\) | −28.2115 | + | 28.2115i | −0.0507401 | + | 0.0507401i | ||||
\(557\) | − | 305.484i | − | 0.548446i | −0.961666 | − | 0.274223i | \(-0.911579\pi\) | ||
0.961666 | − | 0.274223i | \(-0.0884206\pi\) | |||||||
\(558\) | −540.193 | −0.968087 | ||||||||
\(559\) | −803.623 | − | 803.623i | −1.43761 | − | 1.43761i | ||||
\(560\) | −293.138 | − | 293.138i | −0.523461 | − | 0.523461i | ||||
\(561\) | 804.528 | − | 804.528i | 1.43410 | − | 1.43410i | ||||
\(562\) | 1379.40i | 2.45445i | ||||||||
\(563\) | − | 843.323i | − | 1.49791i | −0.662621 | − | 0.748955i | \(-0.730556\pi\) | ||
0.662621 | − | 0.748955i | \(-0.269444\pi\) | |||||||
\(564\) | −423.853 | + | 423.853i | −0.751512 | + | 0.751512i | ||||
\(565\) | 69.5670 | 0.123128 | ||||||||
\(566\) | −334.306 | −0.590648 | ||||||||
\(567\) | 574.937i | 1.01400i | ||||||||
\(568\) | 44.9765i | 0.0791840i | ||||||||
\(569\) | −638.597 | −1.12232 | −0.561158 | − | 0.827709i | \(-0.689644\pi\) | ||||
−0.561158 | + | 0.827709i | \(0.689644\pi\) | |||||||
\(570\) | 275.373 | − | 275.373i | 0.483111 | − | 0.483111i | ||||
\(571\) | 26.5077 | − | 26.5077i | 0.0464233 | − | 0.0464233i | −0.683514 | − | 0.729937i | \(-0.739549\pi\) |
0.729937 | + | 0.683514i | \(0.239549\pi\) | |||||||
\(572\) | 998.829 | 1.74620 | ||||||||
\(573\) | −903.217 | + | 903.217i | −1.57630 | + | 1.57630i | ||||
\(574\) | −1011.26 | + | 1011.26i | −1.76177 | + | 1.76177i | ||||
\(575\) | − | 237.530i | − | 0.413096i | ||||||
\(576\) | −780.649 | −1.35529 | ||||||||
\(577\) | 609.598 | − | 609.598i | 1.05650 | − | 1.05650i | 0.0581909 | − | 0.998305i | \(-0.481467\pi\) |
0.998305 | − | 0.0581909i | \(-0.0185332\pi\) | |||||||
\(578\) | −1333.95 | − | 1333.95i | −2.30788 | − | 2.30788i | ||||
\(579\) | 838.253 | − | 838.253i | 1.44776 | − | 1.44776i | ||||
\(580\) | 402.351 | + | 402.351i | 0.693708 | + | 0.693708i | ||||
\(581\) | 823.380 | 1.41718 | ||||||||
\(582\) | 760.146 | 1.30609 | ||||||||
\(583\) | 434.806 | − | 434.806i | 0.745809 | − | 0.745809i | ||||
\(584\) | 92.9817 | 0.159215 | ||||||||
\(585\) | −995.209 | −1.70121 | ||||||||
\(586\) | −234.951 | − | 234.951i | −0.400941 | − | 0.400941i | ||||
\(587\) | −111.031 | −0.189150 | −0.0945752 | − | 0.995518i | \(-0.530149\pi\) | ||||
−0.0945752 | + | 0.995518i | \(0.530149\pi\) | |||||||
\(588\) | 100.503 | + | 100.503i | 0.170924 | + | 0.170924i | ||||
\(589\) | −99.8284 | − | 99.8284i | −0.169488 | − | 0.169488i | ||||
\(590\) | 1239.66i | 2.10111i | ||||||||
\(591\) | 552.625 | + | 640.828i | 0.935067 | + | 1.08431i | ||||
\(592\) | −410.030 | −0.692617 | ||||||||
\(593\) | 27.6721 | − | 27.6721i | 0.0466645 | − | 0.0466645i | −0.683389 | − | 0.730054i | \(-0.739495\pi\) |
0.730054 | + | 0.683389i | \(0.239495\pi\) | |||||||
\(594\) | 34.9398 | − | 34.9398i | 0.0588212 | − | 0.0588212i | ||||
\(595\) | − | 970.966i | − | 1.63188i | ||||||
\(596\) | −13.8994 | + | 13.8994i | −0.0233211 | + | 0.0233211i | ||||
\(597\) | − | 586.122i | − | 0.981780i | ||||||
\(598\) | 2488.88i | 4.16201i | ||||||||
\(599\) | 471.601 | + | 471.601i | 0.787314 | + | 0.787314i | 0.981053 | − | 0.193739i | \(-0.0620616\pi\) |
−0.193739 | + | 0.981053i | \(0.562062\pi\) | |||||||
\(600\) | 56.2750i | 0.0937916i | ||||||||
\(601\) | 646.144i | 1.07511i | 0.843227 | + | 0.537557i | \(0.180653\pi\) | ||||
−0.843227 | + | 0.537557i | \(0.819347\pi\) | |||||||
\(602\) | 713.948 | − | 713.948i | 1.18596 | − | 1.18596i | ||||
\(603\) | 108.950 | + | 108.950i | 0.180680 | + | 0.180680i | ||||
\(604\) | 202.816 | − | 202.816i | 0.335788 | − | 0.335788i | ||||
\(605\) | −137.033 | − | 137.033i | −0.226500 | − | 0.226500i | ||||
\(606\) | 1160.22i | 1.91455i | ||||||||
\(607\) | 668.000 | 1.10049 | 0.550247 | − | 0.835002i | \(-0.314534\pi\) | ||||
0.550247 | + | 0.835002i | \(0.314534\pi\) | |||||||
\(608\) | −235.264 | − | 235.264i | −0.386947 | − | 0.386947i | ||||
\(609\) | 656.784 | + | 656.784i | 1.07846 | + | 1.07846i | ||||
\(610\) | − | 506.169i | − | 0.829786i | ||||||
\(611\) | 527.073 | + | 527.073i | 0.862640 | + | 0.862640i | ||||
\(612\) | −946.173 | − | 946.173i | −1.54604 | − | 1.54604i | ||||
\(613\) | 1048.57i | 1.71055i | 0.518170 | + | 0.855277i | \(0.326613\pi\) | ||||
−0.518170 | + | 0.855277i | \(0.673387\pi\) | |||||||
\(614\) | 1208.31 | 1.96793 | ||||||||
\(615\) | 1184.93 | 1.92672 | ||||||||
\(616\) | 122.540i | 0.198929i | ||||||||
\(617\) | − | 233.005i | − | 0.377642i | −0.982012 | − | 0.188821i | \(-0.939533\pi\) | ||
0.982012 | − | 0.188821i | \(-0.0604665\pi\) | |||||||
\(618\) | 786.160 | + | 786.160i | 1.27210 | + | 1.27210i | ||||
\(619\) | 188.558 | 0.304618 | 0.152309 | − | 0.988333i | \(-0.451329\pi\) | ||||
0.152309 | + | 0.988333i | \(0.451329\pi\) | |||||||
\(620\) | −383.346 | −0.618300 | ||||||||
\(621\) | 46.7601 | + | 46.7601i | 0.0752980 | + | 0.0752980i | ||||
\(622\) | −503.885 | + | 503.885i | −0.810104 | + | 0.810104i | ||||
\(623\) | −571.152 | + | 571.152i | −0.916776 | + | 0.916776i | ||||
\(624\) | 1386.99i | 2.22274i | ||||||||
\(625\) | 402.779 | 0.644446 | ||||||||
\(626\) | 265.366 | + | 265.366i | 0.423907 | + | 0.423907i | ||||
\(627\) | 270.770 | 0.431850 | ||||||||
\(628\) | −295.101 | −0.469906 | ||||||||
\(629\) | −679.074 | − | 679.074i | −1.07961 | − | 1.07961i | ||||
\(630\) | − | 884.155i | − | 1.40342i | ||||||
\(631\) | 13.8463 | 0.0219435 | 0.0109717 | − | 0.999940i | \(-0.496508\pi\) | ||||
0.0109717 | + | 0.999940i | \(0.496508\pi\) | |||||||
\(632\) | − | 28.1715i | − | 0.0445751i | ||||||
\(633\) | 201.829 | 0.318846 | ||||||||
\(634\) | 1247.10i | 1.96703i | ||||||||
\(635\) | −21.3732 | − | 21.3732i | −0.0336585 | − | 0.0336585i | ||||
\(636\) | −998.329 | − | 998.329i | −1.56970 | − | 1.56970i | ||||
\(637\) | 124.978 | − | 124.978i | 0.196198 | − | 0.196198i | ||||
\(638\) | 736.616i | 1.15457i | ||||||||
\(639\) | 159.545 | − | 159.545i | 0.249679 | − | 0.249679i | ||||
\(640\) | −252.801 | −0.395002 | ||||||||
\(641\) | −309.541 | − | 309.541i | −0.482904 | − | 0.482904i | 0.423154 | − | 0.906058i | \(-0.360923\pi\) |
−0.906058 | + | 0.423154i | \(0.860923\pi\) | |||||||
\(642\) | 1052.32 | 1.63912 | ||||||||
\(643\) | 390.496 | + | 390.496i | 0.607303 | + | 0.607303i | 0.942240 | − | 0.334937i | \(-0.108715\pi\) |
−0.334937 | + | 0.942240i | \(0.608715\pi\) | |||||||
\(644\) | −1187.57 | −1.84406 | ||||||||
\(645\) | −836.563 | −1.29700 | ||||||||
\(646\) | − | 651.124i | − | 1.00793i | ||||||
\(647\) | −337.691 | + | 337.691i | −0.521933 | + | 0.521933i | −0.918155 | − | 0.396222i | \(-0.870321\pi\) |
0.396222 | + | 0.918155i | \(0.370321\pi\) | |||||||
\(648\) | 102.226 | + | 102.226i | 0.157756 | + | 0.157756i | ||||
\(649\) | −609.467 | + | 609.467i | −0.939086 | + | 0.939086i | ||||
\(650\) | 506.754 | 0.779621 | ||||||||
\(651\) | −625.761 | −0.961230 | ||||||||
\(652\) | 1102.70 | 1.69126 | ||||||||
\(653\) | − | 59.6732i | − | 0.0913832i | −0.998956 | − | 0.0456916i | \(-0.985451\pi\) | ||
0.998956 | − | 0.0456916i | \(-0.0145492\pi\) | |||||||
\(654\) | 457.764 | 0.699945 | ||||||||
\(655\) | 150.297i | 0.229462i | ||||||||
\(656\) | − | 845.870i | − | 1.28944i | ||||||
\(657\) | −329.834 | − | 329.834i | −0.502030 | − | 0.502030i | ||||
\(658\) | −468.257 | + | 468.257i | −0.711637 | + | 0.711637i | ||||
\(659\) | 637.786 | − | 637.786i | 0.967808 | − | 0.967808i | −0.0316896 | − | 0.999498i | \(-0.510089\pi\) |
0.999498 | + | 0.0316896i | \(0.0100888\pi\) | |||||||
\(660\) | 519.885 | − | 519.885i | 0.787704 | − | 0.787704i | ||||
\(661\) | −187.415 | −0.283533 | −0.141766 | − | 0.989900i | \(-0.545278\pi\) | ||||
−0.141766 | + | 0.989900i | \(0.545278\pi\) | |||||||
\(662\) | −545.751 | − | 545.751i | −0.824397 | − | 0.824397i | ||||
\(663\) | −2297.07 | + | 2297.07i | −3.46466 | + | 3.46466i | ||||
\(664\) | 146.400 | − | 146.400i | 0.220482 | − | 0.220482i | ||||
\(665\) | 163.393 | − | 163.393i | 0.245704 | − | 0.245704i | ||||
\(666\) | −618.359 | − | 618.359i | −0.928468 | − | 0.928468i | ||||
\(667\) | −985.817 | −1.47799 | ||||||||
\(668\) | 210.422 | + | 210.422i | 0.315004 | + | 0.315004i | ||||
\(669\) | −261.097 | − | 261.097i | −0.390280 | − | 0.390280i | ||||
\(670\) | 143.955 | + | 143.955i | 0.214859 | + | 0.214859i | ||||
\(671\) | 248.854 | − | 248.854i | 0.370870 | − | 0.370870i | ||||
\(672\) | −1474.72 | −2.19452 | ||||||||
\(673\) | −131.085 | − | 131.085i | −0.194777 | − | 0.194777i | 0.602980 | − | 0.797756i | \(-0.293980\pi\) |
−0.797756 | + | 0.602980i | \(0.793980\pi\) | |||||||
\(674\) | − | 345.347i | − | 0.512385i | ||||||
\(675\) | 9.52068 | − | 9.52068i | 0.0141047 | − | 0.0141047i | ||||
\(676\) | −2067.53 | −3.05847 | ||||||||
\(677\) | −312.026 | − | 312.026i | −0.460896 | − | 0.460896i | 0.438053 | − | 0.898949i | \(-0.355668\pi\) |
−0.898949 | + | 0.438053i | \(0.855668\pi\) | |||||||
\(678\) | 146.214 | − | 146.214i | 0.215654 | − | 0.215654i | ||||
\(679\) | 451.033 | 0.664261 | ||||||||
\(680\) | −172.641 | − | 172.641i | −0.253884 | − | 0.253884i | ||||
\(681\) | 1343.80 | 1.97328 | ||||||||
\(682\) | −350.911 | − | 350.911i | −0.514532 | − | 0.514532i | ||||
\(683\) | − | 134.662i | − | 0.197162i | −0.995129 | − | 0.0985812i | \(-0.968570\pi\) | ||
0.995129 | − | 0.0985812i | \(-0.0314304\pi\) | |||||||
\(684\) | − | 318.442i | − | 0.465558i | ||||||
\(685\) | −303.979 | − | 303.979i | −0.443765 | − | 0.443765i | ||||
\(686\) | −652.026 | − | 652.026i | −0.950475 | − | 0.950475i | ||||
\(687\) | 528.878i | 0.769837i | ||||||||
\(688\) | 597.185i | 0.868001i | ||||||||
\(689\) | −1241.45 | + | 1241.45i | −1.80181 | + | 1.80181i | ||||
\(690\) | 1295.45 | + | 1295.45i | 1.87746 | + | 1.87746i | ||||
\(691\) | −300.298 | −0.434585 | −0.217293 | − | 0.976107i | \(-0.569723\pi\) | ||||
−0.217293 | + | 0.976107i | \(0.569723\pi\) | |||||||
\(692\) | 1317.78 | 1.90431 | ||||||||
\(693\) | 434.687 | − | 434.687i | 0.627254 | − | 0.627254i | ||||
\(694\) | −895.844 | + | 895.844i | −1.29084 | + | 1.29084i | ||||
\(695\) | 36.5197 | 0.0525464 | ||||||||
\(696\) | 233.557 | 0.335571 | ||||||||
\(697\) | 1400.89 | − | 1400.89i | 2.00989 | − | 2.00989i | ||||
\(698\) | 231.267i | 0.331329i | ||||||||
\(699\) | −1016.66 | + | 1016.66i | −1.45445 | + | 1.45445i | ||||
\(700\) | 241.798i | 0.345426i | ||||||||
\(701\) | −390.491 | − | 390.491i | −0.557049 | − | 0.557049i | 0.371417 | − | 0.928466i | \(-0.378872\pi\) |
−0.928466 | + | 0.371417i | \(0.878872\pi\) | |||||||
\(702\) | −99.7593 | + | 99.7593i | −0.142107 | + | 0.142107i | ||||
\(703\) | − | 228.547i | − | 0.325103i | ||||||
\(704\) | −507.112 | − | 507.112i | −0.720330 | − | 0.720330i | ||||
\(705\) | 548.677 | 0.778265 | ||||||||
\(706\) | −390.914 | + | 390.914i | −0.553702 | + | 0.553702i | ||||
\(707\) | 688.416i | 0.973714i | ||||||||
\(708\) | 1399.36 | + | 1399.36i | 1.97649 | + | 1.97649i | ||||
\(709\) | −456.434 | + | 456.434i | −0.643771 | + | 0.643771i | −0.951480 | − | 0.307709i | \(-0.900438\pi\) |
0.307709 | + | 0.951480i | \(0.400438\pi\) | |||||||
\(710\) | 210.806 | − | 210.806i | 0.296910 | − | 0.296910i | ||||
\(711\) | −99.9326 | + | 99.9326i | −0.140552 | + | 0.140552i | ||||
\(712\) | 203.106i | 0.285261i | ||||||||
\(713\) | 469.626 | − | 469.626i | 0.658662 | − | 0.658662i | ||||
\(714\) | −2040.74 | − | 2040.74i | −2.85818 | − | 2.85818i | ||||
\(715\) | −646.491 | − | 646.491i | −0.904183 | − | 0.904183i | ||||
\(716\) | −423.216 | − | 423.216i | −0.591084 | − | 0.591084i | ||||
\(717\) | −126.244 | + | 126.244i | −0.176072 | + | 0.176072i | ||||
\(718\) | 1808.64i | 2.51900i | ||||||||
\(719\) | −197.634 | − | 197.634i | −0.274873 | − | 0.274873i | 0.556185 | − | 0.831058i | \(-0.312264\pi\) |
−0.831058 | + | 0.556185i | \(0.812264\pi\) | |||||||
\(720\) | 369.778 | + | 369.778i | 0.513580 | + | 0.513580i | ||||
\(721\) | 466.469 | + | 466.469i | 0.646975 | + | 0.646975i | ||||
\(722\) | −640.792 | + | 640.792i | −0.887524 | + | 0.887524i | ||||
\(723\) | 344.003 | 0.475800 | ||||||||
\(724\) | 562.015 | 0.776264 | ||||||||
\(725\) | 200.719i | 0.276854i | ||||||||
\(726\) | −576.021 | −0.793417 | ||||||||
\(727\) | 265.374i | 0.365026i | 0.983203 | + | 0.182513i | \(0.0584232\pi\) | ||||
−0.983203 | + | 0.182513i | \(0.941577\pi\) | |||||||
\(728\) | − | 349.875i | − | 0.480597i | ||||||
\(729\) | − | 800.099i | − | 1.09753i | ||||||
\(730\) | −435.808 | − | 435.808i | −0.596997 | − | 0.596997i | ||||
\(731\) | −989.032 | + | 989.032i | −1.35299 | + | 1.35299i | ||||
\(732\) | −571.376 | − | 571.376i | −0.780569 | − | 0.780569i | ||||
\(733\) | 132.197 | 0.180350 | 0.0901750 | − | 0.995926i | \(-0.471257\pi\) | ||||
0.0901750 | + | 0.995926i | \(0.471257\pi\) | |||||||
\(734\) | 944.229i | 1.28642i | ||||||||
\(735\) | − | 130.101i | − | 0.177008i | ||||||
\(736\) | 1106.76 | − | 1106.76i | 1.50375 | − | 1.50375i | ||||
\(737\) | 141.549i | 0.192061i | ||||||||
\(738\) | 1275.64 | − | 1275.64i | 1.72852 | − | 1.72852i | ||||
\(739\) | 686.568i | 0.929050i | 0.885560 | + | 0.464525i | \(0.153775\pi\) | ||||
−0.885560 | + | 0.464525i | \(0.846225\pi\) | |||||||
\(740\) | −438.817 | − | 438.817i | −0.592995 | − | 0.592995i | ||||
\(741\) | −773.097 | −1.04332 | ||||||||
\(742\) | −1102.92 | − | 1102.92i | −1.48641 | − | 1.48641i | ||||
\(743\) | 84.7647 | − | 84.7647i | 0.114084 | − | 0.114084i | −0.647760 | − | 0.761844i | \(-0.724294\pi\) |
0.761844 | + | 0.647760i | \(0.224294\pi\) | |||||||
\(744\) | −111.263 | + | 111.263i | −0.149546 | + | 0.149546i | ||||
\(745\) | 17.9927 | 0.0241513 | ||||||||
\(746\) | 1721.17i | 2.30720i | ||||||||
\(747\) | −1038.65 | −1.39043 | ||||||||
\(748\) | − | 1229.28i | − | 1.64342i | ||||||
\(749\) | 624.394 | 0.833636 | ||||||||
\(750\) | 1211.96 | − | 1211.96i | 1.61594 | − | 1.61594i | ||||
\(751\) | − | 385.719i | − | 0.513608i | −0.966464 | − | 0.256804i | \(-0.917331\pi\) | ||
0.966464 | − | 0.256804i | \(-0.0826694\pi\) | |||||||
\(752\) | − | 391.676i | − | 0.520846i | ||||||
\(753\) | −1126.58 | + | 1126.58i | −1.49612 | + | 1.49612i | ||||
\(754\) | − | 2103.17i | − | 2.78935i | ||||||
\(755\) | −262.545 | −0.347742 | ||||||||
\(756\) | −47.6003 | − | 47.6003i | −0.0629634 | − | 0.0629634i | ||||
\(757\) | 358.245 | + | 358.245i | 0.473243 | + | 0.473243i | 0.902963 | − | 0.429719i | \(-0.141387\pi\) |
−0.429719 | + | 0.902963i | \(0.641387\pi\) | |||||||
\(758\) | 599.390 | − | 599.390i | 0.790753 | − | 0.790753i | ||||
\(759\) | 1273.79i | 1.67825i | ||||||||
\(760\) | − | 58.1037i | − | 0.0764523i | ||||||
\(761\) | −628.732 | + | 628.732i | −0.826192 | + | 0.826192i | −0.986988 | − | 0.160796i | \(-0.948594\pi\) |
0.160796 | + | 0.986988i | \(0.448594\pi\) | |||||||
\(762\) | −89.8427 | −0.117904 | ||||||||
\(763\) | 271.615 | 0.355983 | ||||||||
\(764\) | 1380.07i | 1.80637i | ||||||||
\(765\) | 1224.82i | 1.60107i | ||||||||
\(766\) | 685.111 | 0.894401 | ||||||||
\(767\) | 1740.14 | − | 1740.14i | 2.26876 | − | 2.26876i | ||||
\(768\) | 472.228 | − | 472.228i | 0.614880 | − | 0.614880i | ||||
\(769\) | 297.969 | 0.387476 | 0.193738 | − | 0.981053i | \(-0.437939\pi\) | ||||
0.193738 | + | 0.981053i | \(0.437939\pi\) | |||||||
\(770\) | 574.350 | − | 574.350i | 0.745909 | − | 0.745909i | ||||
\(771\) | 678.908 | − | 678.908i | 0.880556 | − | 0.880556i | ||||
\(772\) | − | 1280.81i | − | 1.65907i | ||||||
\(773\) | −944.042 | −1.22127 | −0.610635 | − | 0.791912i | \(-0.709086\pi\) | ||||
−0.610635 | + | 0.791912i | \(0.709086\pi\) | |||||||
\(774\) | −900.606 | + | 900.606i | −1.16357 | + | 1.16357i | ||||
\(775\) | −95.6192 | − | 95.6192i | −0.123380 | − | 0.123380i |