Properties

Label 11.5.d.a.8.3
Level 11
Weight 5
Character 11.8
Analytic conductor 1.137
Analytic rank 0
Dimension 12
CM No
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 11 \)
Weight: \( k \) = \( 5 \)
Character orbit: \([\chi]\) = 11.d (of order \(10\) and degree \(4\))

Newform invariants

Self dual: No
Analytic conductor: \(1.13706959392\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(3\) over \(\Q(\zeta_{10})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} + \cdots)\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 8.3
Root \(5.08417i\)
Character \(\chi\) = 11.8
Dual form 11.5.d.a.7.3

$q$-expansion

\(f(q)\) \(=\) \(q+(4.10644 + 5.65202i) q^{2} +(-4.15494 - 12.7876i) q^{3} +(-10.1383 + 31.2024i) q^{4} +(-10.0543 - 7.30486i) q^{5} +(55.2138 - 75.9952i) q^{6} +(23.8119 + 7.73696i) q^{7} +(-111.679 + 36.2869i) q^{8} +(-80.7285 + 58.6527i) q^{9} +O(q^{10})\) \(q+(4.10644 + 5.65202i) q^{2} +(-4.15494 - 12.7876i) q^{3} +(-10.1383 + 31.2024i) q^{4} +(-10.0543 - 7.30486i) q^{5} +(55.2138 - 75.9952i) q^{6} +(23.8119 + 7.73696i) q^{7} +(-111.679 + 36.2869i) q^{8} +(-80.7285 + 58.6527i) q^{9} -86.8239i q^{10} +(16.1882 + 119.912i) q^{11} +441.128 q^{12} +(-110.382 - 151.927i) q^{13} +(54.0526 + 166.357i) q^{14} +(-51.6366 + 158.921i) q^{15} +(-239.021 - 173.659i) q^{16} +(-30.5398 + 42.0345i) q^{17} +(-663.013 - 215.426i) q^{18} +(369.226 - 119.969i) q^{19} +(329.862 - 239.659i) q^{20} -336.644i q^{21} +(-611.271 + 583.908i) q^{22} +164.959 q^{23} +(928.043 + 1277.34i) q^{24} +(-145.408 - 447.520i) q^{25} +(405.422 - 1247.76i) q^{26} +(204.349 + 148.468i) q^{27} +(-482.824 + 664.551i) q^{28} +(596.085 + 193.680i) q^{29} +(-1110.27 + 360.748i) q^{30} +(-974.492 + 708.010i) q^{31} -185.241i q^{32} +(1466.13 - 705.236i) q^{33} -362.990 q^{34} +(-182.894 - 251.732i) q^{35} +(-1011.66 - 3113.56i) q^{36} +(203.784 - 627.181i) q^{37} +(2194.27 + 1594.23i) q^{38} +(-1484.16 + 2042.76i) q^{39} +(1387.93 + 450.965i) q^{40} +(-2188.14 + 710.968i) q^{41} +(1902.72 - 1382.41i) q^{42} -1744.86i q^{43} +(-3905.67 - 710.592i) q^{44} +1240.12 q^{45} +(677.395 + 932.355i) q^{46} +(1141.17 + 3512.17i) q^{47} +(-1227.56 + 3778.04i) q^{48} +(-1435.30 - 1042.81i) q^{49} +(1932.29 - 2659.56i) q^{50} +(664.411 + 215.880i) q^{51} +(5859.58 - 1903.89i) q^{52} +(63.9262 - 46.4451i) q^{53} +1764.66i q^{54} +(713.181 - 1323.88i) q^{55} -2940.05 q^{56} +(-3068.22 - 4223.04i) q^{57} +(1353.10 + 4164.42i) q^{58} +(341.080 - 1049.74i) q^{59} +(-4435.22 - 3222.38i) q^{60} +(137.227 - 188.877i) q^{61} +(-8003.38 - 2600.46i) q^{62} +(-2376.10 + 772.040i) q^{63} +(-2777.35 + 2017.86i) q^{64} +2333.84i q^{65} +(10006.6 + 5390.58i) q^{66} +6390.51 q^{67} +(-1001.96 - 1379.08i) q^{68} +(-685.397 - 2109.43i) q^{69} +(671.753 - 2067.44i) q^{70} +(4467.06 + 3245.51i) q^{71} +(6887.39 - 9479.69i) q^{72} +(2979.95 + 968.246i) q^{73} +(4381.67 - 1423.69i) q^{74} +(-5118.54 + 3718.84i) q^{75} +12737.0i q^{76} +(-542.284 + 2980.59i) q^{77} -17640.3 q^{78} +(-1853.24 - 2550.77i) q^{79} +(1134.63 + 3492.02i) q^{80} +(-1448.19 + 4457.06i) q^{81} +(-13003.8 - 9447.85i) q^{82} +(3663.21 - 5041.98i) q^{83} +(10504.1 + 3412.99i) q^{84} +(614.112 - 199.537i) q^{85} +(9861.99 - 7165.15i) q^{86} -8427.22i q^{87} +(-6159.13 - 12804.3i) q^{88} -1267.14 q^{89} +(5092.46 + 7009.16i) q^{90} +(-1452.94 - 4471.70i) q^{91} +(-1672.41 + 5147.14i) q^{92} +(13102.7 + 9519.67i) q^{93} +(-15164.7 + 20872.4i) q^{94} +(-4588.65 - 1490.94i) q^{95} +(-2368.78 + 769.664i) q^{96} +(4428.29 - 3217.34i) q^{97} -12394.6i q^{98} +(-8340.03 - 8730.85i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 5q^{2} - 6q^{3} + 7q^{4} - 18q^{5} + 75q^{6} - 80q^{7} - 245q^{8} + q^{9} + O(q^{10}) \) \( 12q - 5q^{2} - 6q^{3} + 7q^{4} - 18q^{5} + 75q^{6} - 80q^{7} - 245q^{8} + q^{9} - 43q^{11} + 594q^{12} + 250q^{13} + 610q^{14} + 1134q^{15} - 633q^{16} - 1250q^{17} - 3150q^{18} - 1025q^{19} + 752q^{20} - 35q^{22} + 1684q^{23} + 5345q^{24} + 197q^{25} + 3490q^{26} - 687q^{27} - 3580q^{28} - 2690q^{29} - 6740q^{30} - 1136q^{31} + 5939q^{33} + 2370q^{34} + 3610q^{35} - 514q^{36} - 336q^{37} + 1900q^{38} - 6880q^{39} - 2340q^{40} - 4550q^{41} + 1310q^{42} - 6268q^{44} + 5136q^{45} + 4150q^{46} + 24q^{47} + 344q^{48} + 827q^{49} + 8895q^{50} + 13155q^{51} + 14070q^{52} + 414q^{53} - 2738q^{55} - 21340q^{56} - 26925q^{57} + 2980q^{58} - 10011q^{59} - 6856q^{60} + 9460q^{61} - 6200q^{62} + 9150q^{63} - 2633q^{64} - 3210q^{66} + 12154q^{67} - 9400q^{68} - 9022q^{69} - 9380q^{70} + 17574q^{71} + 43045q^{72} + 27950q^{73} + 43270q^{74} - 1761q^{75} + 4090q^{77} - 42920q^{78} - 41540q^{79} - 2308q^{80} - 21080q^{81} - 28175q^{82} - 18665q^{83} + 26250q^{84} - 4230q^{85} - 10125q^{86} - 15125q^{88} + 5554q^{89} + 18400q^{90} + 7390q^{91} + 3904q^{92} + 36898q^{93} + 18920q^{94} + 14110q^{95} - 21140q^{96} + 20769q^{97} - 3269q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/11\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{3}{10}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 4.10644 + 5.65202i 1.02661 + 1.41301i 0.907464 + 0.420129i \(0.138015\pi\)
0.119144 + 0.992877i \(0.461985\pi\)
\(3\) −4.15494 12.7876i −0.461660 1.42084i −0.863135 0.504973i \(-0.831502\pi\)
0.401475 0.915870i \(-0.368498\pi\)
\(4\) −10.1383 + 31.2024i −0.633643 + 1.95015i
\(5\) −10.0543 7.30486i −0.402171 0.292194i 0.368254 0.929725i \(-0.379956\pi\)
−0.770425 + 0.637531i \(0.779956\pi\)
\(6\) 55.2138 75.9952i 1.53372 2.11098i
\(7\) 23.8119 + 7.73696i 0.485958 + 0.157897i 0.541741 0.840546i \(-0.317765\pi\)
−0.0557829 + 0.998443i \(0.517765\pi\)
\(8\) −111.679 + 36.2869i −1.74499 + 0.566982i
\(9\) −80.7285 + 58.6527i −0.996648 + 0.724107i
\(10\) 86.8239i 0.868239i
\(11\) 16.1882 + 119.912i 0.133787 + 0.991010i
\(12\) 441.128 3.06339
\(13\) −110.382 151.927i −0.653146 0.898978i 0.346084 0.938203i \(-0.387511\pi\)
−0.999230 + 0.0392250i \(0.987511\pi\)
\(14\) 54.0526 + 166.357i 0.275779 + 0.848760i
\(15\) −51.6366 + 158.921i −0.229496 + 0.706316i
\(16\) −239.021 173.659i −0.933674 0.678354i
\(17\) −30.5398 + 42.0345i −0.105674 + 0.145448i −0.858579 0.512682i \(-0.828652\pi\)
0.752905 + 0.658130i \(0.228652\pi\)
\(18\) −663.013 215.426i −2.04634 0.664895i
\(19\) 369.226 119.969i 1.02279 0.332323i 0.250851 0.968026i \(-0.419289\pi\)
0.771934 + 0.635702i \(0.219289\pi\)
\(20\) 329.862 239.659i 0.824656 0.599148i
\(21\) 336.644i 0.763365i
\(22\) −611.271 + 583.908i −1.26296 + 1.20642i
\(23\) 164.959 0.311833 0.155916 0.987770i \(-0.450167\pi\)
0.155916 + 0.987770i \(0.450167\pi\)
\(24\) 928.043 + 1277.34i 1.61119 + 2.21761i
\(25\) −145.408 447.520i −0.232653 0.716032i
\(26\) 405.422 1247.76i 0.599736 1.84580i
\(27\) 204.349 + 148.468i 0.280314 + 0.203660i
\(28\) −482.824 + 664.551i −0.615847 + 0.847641i
\(29\) 596.085 + 193.680i 0.708781 + 0.230297i 0.641153 0.767413i \(-0.278457\pi\)
0.0676290 + 0.997711i \(0.478457\pi\)
\(30\) −1110.27 + 360.748i −1.23363 + 0.400831i
\(31\) −974.492 + 708.010i −1.01404 + 0.736743i −0.965053 0.262056i \(-0.915599\pi\)
−0.0489874 + 0.998799i \(0.515599\pi\)
\(32\) 185.241i 0.180899i
\(33\) 1466.13 705.236i 1.34631 0.647600i
\(34\) −362.990 −0.314005
\(35\) −182.894 251.732i −0.149301 0.205496i
\(36\) −1011.66 3113.56i −0.780600 2.40244i
\(37\) 203.784 627.181i 0.148856 0.458131i −0.848631 0.528986i \(-0.822573\pi\)
0.997487 + 0.0708544i \(0.0225726\pi\)
\(38\) 2194.27 + 1594.23i 1.51958 + 1.10404i
\(39\) −1484.16 + 2042.76i −0.975776 + 1.34304i
\(40\) 1387.93 + 450.965i 0.867454 + 0.281853i
\(41\) −2188.14 + 710.968i −1.30169 + 0.422944i −0.876168 0.482006i \(-0.839908\pi\)
−0.425519 + 0.904950i \(0.639908\pi\)
\(42\) 1902.72 1382.41i 1.07864 0.783677i
\(43\) 1744.86i 0.943677i −0.881685 0.471839i \(-0.843590\pi\)
0.881685 0.471839i \(-0.156410\pi\)
\(44\) −3905.67 710.592i −2.01739 0.367041i
\(45\) 1240.12 0.612403
\(46\) 677.395 + 932.355i 0.320130 + 0.440621i
\(47\) 1141.17 + 3512.17i 0.516601 + 1.58994i 0.780349 + 0.625344i \(0.215041\pi\)
−0.263748 + 0.964592i \(0.584959\pi\)
\(48\) −1227.56 + 3778.04i −0.532795 + 1.63977i
\(49\) −1435.30 1042.81i −0.597794 0.434322i
\(50\) 1932.29 2659.56i 0.772914 1.06383i
\(51\) 664.411 + 215.880i 0.255444 + 0.0829989i
\(52\) 5859.58 1903.89i 2.16701 0.704103i
\(53\) 63.9262 46.4451i 0.0227576 0.0165344i −0.576348 0.817204i \(-0.695523\pi\)
0.599106 + 0.800670i \(0.295523\pi\)
\(54\) 1764.66i 0.605165i
\(55\) 713.181 1323.88i 0.235762 0.437647i
\(56\) −2940.05 −0.937517
\(57\) −3068.22 4223.04i −0.944358 1.29980i
\(58\) 1353.10 + 4164.42i 0.402230 + 1.23794i
\(59\) 341.080 1049.74i 0.0979834 0.301562i −0.890036 0.455890i \(-0.849321\pi\)
0.988020 + 0.154328i \(0.0493212\pi\)
\(60\) −4435.22 3222.38i −1.23201 0.895104i
\(61\) 137.227 188.877i 0.0368791 0.0507597i −0.790179 0.612876i \(-0.790013\pi\)
0.827058 + 0.562116i \(0.190013\pi\)
\(62\) −8003.38 2600.46i −2.08204 0.676497i
\(63\) −2376.10 + 772.040i −0.598663 + 0.194518i
\(64\) −2777.35 + 2017.86i −0.678063 + 0.492642i
\(65\) 2333.84i 0.552388i
\(66\) 10006.6 + 5390.58i 2.29719 + 1.23751i
\(67\) 6390.51 1.42359 0.711797 0.702385i \(-0.247882\pi\)
0.711797 + 0.702385i \(0.247882\pi\)
\(68\) −1001.96 1379.08i −0.216686 0.298243i
\(69\) −685.397 2109.43i −0.143961 0.443065i
\(70\) 671.753 2067.44i 0.137093 0.421927i
\(71\) 4467.06 + 3245.51i 0.886145 + 0.643822i 0.934870 0.354990i \(-0.115516\pi\)
−0.0487247 + 0.998812i \(0.515516\pi\)
\(72\) 6887.39 9479.69i 1.32859 1.82864i
\(73\) 2979.95 + 968.246i 0.559196 + 0.181694i 0.574959 0.818182i \(-0.305018\pi\)
−0.0157636 + 0.999876i \(0.505018\pi\)
\(74\) 4381.67 1423.69i 0.800159 0.259987i
\(75\) −5118.54 + 3718.84i −0.909963 + 0.661127i
\(76\) 12737.0i 2.20516i
\(77\) −542.284 + 2980.59i −0.0914629 + 0.502714i
\(78\) −17640.3 −2.89946
\(79\) −1853.24 2550.77i −0.296946 0.408711i 0.634309 0.773080i \(-0.281285\pi\)
−0.931255 + 0.364368i \(0.881285\pi\)
\(80\) 1134.63 + 3492.02i 0.177285 + 0.545629i
\(81\) −1448.19 + 4457.06i −0.220726 + 0.679326i
\(82\) −13003.8 9447.85i −1.93395 1.40509i
\(83\) 3663.21 5041.98i 0.531748 0.731889i −0.455647 0.890160i \(-0.650592\pi\)
0.987396 + 0.158272i \(0.0505922\pi\)
\(84\) 10504.1 + 3412.99i 1.48868 + 0.483700i
\(85\) 614.112 199.537i 0.0849982 0.0276176i
\(86\) 9861.99 7165.15i 1.33342 0.968788i
\(87\) 8427.22i 1.11339i
\(88\) −6159.13 12804.3i −0.795342 1.65345i
\(89\) −1267.14 −0.159972 −0.0799859 0.996796i \(-0.525488\pi\)
−0.0799859 + 0.996796i \(0.525488\pi\)
\(90\) 5092.46 + 7009.16i 0.628698 + 0.865329i
\(91\) −1452.94 4471.70i −0.175455 0.539995i
\(92\) −1672.41 + 5147.14i −0.197591 + 0.608121i
\(93\) 13102.7 + 9519.67i 1.51494 + 1.10067i
\(94\) −15164.7 + 20872.4i −1.71624 + 2.36220i
\(95\) −4588.65 1490.94i −0.508438 0.165201i
\(96\) −2368.78 + 769.664i −0.257029 + 0.0835139i
\(97\) 4428.29 3217.34i 0.470644 0.341943i −0.327048 0.945008i \(-0.606054\pi\)
0.797692 + 0.603065i \(0.206054\pi\)
\(98\) 12394.6i 1.29057i
\(99\) −8340.03 8730.85i −0.850936 0.890812i
\(100\) 15437.9 1.54379
\(101\) −6193.29 8524.33i −0.607125 0.835636i 0.389212 0.921148i \(-0.372747\pi\)
−0.996337 + 0.0855119i \(0.972747\pi\)
\(102\) 1508.20 + 4641.76i 0.144964 + 0.446152i
\(103\) −1070.41 + 3294.38i −0.100896 + 0.310527i −0.988745 0.149608i \(-0.952199\pi\)
0.887849 + 0.460135i \(0.152199\pi\)
\(104\) 17840.3 + 12961.8i 1.64944 + 1.19839i
\(105\) −2459.13 + 3384.71i −0.223051 + 0.307003i
\(106\) 525.017 + 170.589i 0.0467264 + 0.0151823i
\(107\) −7796.18 + 2533.13i −0.680949 + 0.221254i −0.629011 0.777397i \(-0.716540\pi\)
−0.0519380 + 0.998650i \(0.516540\pi\)
\(108\) −6704.32 + 4870.97i −0.574787 + 0.417607i
\(109\) 13677.7i 1.15123i 0.817722 + 0.575613i \(0.195237\pi\)
−0.817722 + 0.575613i \(0.804763\pi\)
\(110\) 10411.2 1405.53i 0.860434 0.116159i
\(111\) −8866.85 −0.719653
\(112\) −4347.95 5984.44i −0.346616 0.477076i
\(113\) 885.702 + 2725.91i 0.0693635 + 0.213479i 0.979729 0.200325i \(-0.0641999\pi\)
−0.910366 + 0.413804i \(0.864200\pi\)
\(114\) 11269.3 34683.3i 0.867135 2.66877i
\(115\) −1658.55 1205.01i −0.125410 0.0911157i
\(116\) −12086.6 + 16635.7i −0.898229 + 1.23631i
\(117\) 17821.9 + 5790.69i 1.30191 + 0.423017i
\(118\) 7333.76 2382.88i 0.526699 0.171135i
\(119\) −1052.43 + 764.637i −0.0743190 + 0.0539959i
\(120\) 19622.0i 1.36264i
\(121\) −14116.9 + 3882.33i −0.964202 + 0.265169i
\(122\) 1631.05 0.109584
\(123\) 18183.1 + 25026.9i 1.20187 + 1.65424i
\(124\) −12212.0 37584.5i −0.794222 2.44436i
\(125\) −4207.34 + 12948.9i −0.269270 + 0.828728i
\(126\) −14120.9 10259.4i −0.889448 0.646222i
\(127\) 16460.3 22655.7i 1.02054 1.40465i 0.108718 0.994073i \(-0.465326\pi\)
0.911824 0.410582i \(-0.134674\pi\)
\(128\) −25628.8 8327.29i −1.56426 0.508258i
\(129\) −22312.5 + 7249.79i −1.34082 + 0.435658i
\(130\) −13190.9 + 9583.77i −0.780528 + 0.567087i
\(131\) 12108.6i 0.705586i −0.935701 0.352793i \(-0.885232\pi\)
0.935701 0.352793i \(-0.114768\pi\)
\(132\) 7141.08 + 52896.6i 0.409842 + 3.03585i
\(133\) 9720.17 0.549504
\(134\) 26242.2 + 36119.3i 1.46147 + 2.01155i
\(135\) −970.041 2985.48i −0.0532259 0.163812i
\(136\) 1885.37 5802.58i 0.101934 0.313721i
\(137\) −30186.6 21931.8i −1.60832 1.16851i −0.868470 0.495741i \(-0.834897\pi\)
−0.739850 0.672772i \(-0.765103\pi\)
\(138\) 9108.03 12536.1i 0.478263 0.658272i
\(139\) −3774.88 1226.53i −0.195377 0.0634819i 0.209694 0.977767i \(-0.432753\pi\)
−0.405071 + 0.914285i \(0.632753\pi\)
\(140\) 9708.89 3154.61i 0.495352 0.160950i
\(141\) 40170.7 29185.7i 2.02056 1.46802i
\(142\) 38575.4i 1.91308i
\(143\) 16431.1 15695.5i 0.803514 0.767546i
\(144\) 29481.3 1.42175
\(145\) −4578.40 6301.63i −0.217760 0.299721i
\(146\) 6764.44 + 20818.8i 0.317341 + 0.976675i
\(147\) −7371.41 + 22686.9i −0.341127 + 1.04988i
\(148\) 17503.6 + 12717.1i 0.799104 + 0.580583i
\(149\) 1533.16 2110.22i 0.0690583 0.0950506i −0.773091 0.634295i \(-0.781290\pi\)
0.842149 + 0.539245i \(0.181290\pi\)
\(150\) −42037.9 13659.0i −1.86835 0.607065i
\(151\) 20848.6 6774.10i 0.914370 0.297097i 0.186215 0.982509i \(-0.440378\pi\)
0.728155 + 0.685412i \(0.240378\pi\)
\(152\) −36881.6 + 26796.1i −1.59633 + 1.15980i
\(153\) 5184.63i 0.221480i
\(154\) −19073.2 + 9174.60i −0.804234 + 0.386853i
\(155\) 14969.7 0.623089
\(156\) −48692.4 67019.4i −2.00084 2.75392i
\(157\) 5242.72 + 16135.4i 0.212695 + 0.654608i 0.999309 + 0.0371634i \(0.0118322\pi\)
−0.786614 + 0.617445i \(0.788168\pi\)
\(158\) 6806.79 20949.1i 0.272664 0.839174i
\(159\) −859.530 624.485i −0.0339991 0.0247018i
\(160\) −1353.16 + 1862.46i −0.0528577 + 0.0727524i
\(161\) 3928.00 + 1276.29i 0.151537 + 0.0492375i
\(162\) −31138.3 + 10117.4i −1.18649 + 0.385514i
\(163\) −31471.1 + 22865.1i −1.18450 + 0.860593i −0.992673 0.120835i \(-0.961443\pi\)
−0.191832 + 0.981428i \(0.561443\pi\)
\(164\) 75483.2i 2.80648i
\(165\) −19892.5 3619.21i −0.730670 0.132937i
\(166\) 43540.1 1.58006
\(167\) 10485.2 + 14431.7i 0.375963 + 0.517468i 0.954509 0.298181i \(-0.0963800\pi\)
−0.578547 + 0.815649i \(0.696380\pi\)
\(168\) 12215.7 + 37596.2i 0.432814 + 1.33206i
\(169\) −2071.97 + 6376.87i −0.0725454 + 0.223272i
\(170\) 3649.60 + 2651.59i 0.126284 + 0.0917505i
\(171\) −22770.5 + 31341.0i −0.778720 + 1.07182i
\(172\) 54443.9 + 17689.9i 1.84031 + 0.597954i
\(173\) 19714.8 6405.71i 0.658718 0.214030i 0.0394636 0.999221i \(-0.487435\pi\)
0.619254 + 0.785191i \(0.287435\pi\)
\(174\) 47630.8 34605.8i 1.57322 1.14301i
\(175\) 11781.3i 0.384697i
\(176\) 16954.5 31472.7i 0.547342 1.01604i
\(177\) −14840.8 −0.473707
\(178\) −5203.42 7161.89i −0.164229 0.226041i
\(179\) −2401.43 7390.85i −0.0749487 0.230668i 0.906563 0.422071i \(-0.138697\pi\)
−0.981512 + 0.191402i \(0.938697\pi\)
\(180\) −12572.6 + 38694.6i −0.388045 + 1.19428i
\(181\) −4026.47 2925.40i −0.122904 0.0892952i 0.524635 0.851327i \(-0.324202\pi\)
−0.647539 + 0.762032i \(0.724202\pi\)
\(182\) 19307.7 26574.8i 0.582893 0.802283i
\(183\) −2985.45 970.032i −0.0891472 0.0289657i
\(184\) −18422.6 + 5985.86i −0.544145 + 0.176804i
\(185\) −6630.37 + 4817.24i −0.193729 + 0.140752i
\(186\) 113149.i 3.27057i
\(187\) −5534.84 2981.64i −0.158278 0.0852651i
\(188\) −121158. −3.42796
\(189\) 3717.25 + 5116.36i 0.104063 + 0.143231i
\(190\) −10416.1 32057.6i −0.288536 0.888022i
\(191\) −14758.2 + 45421.1i −0.404545 + 1.24506i 0.516729 + 0.856149i \(0.327150\pi\)
−0.921274 + 0.388914i \(0.872850\pi\)
\(192\) 37343.3 + 27131.5i 1.01300 + 0.735988i
\(193\) 12311.9 16945.8i 0.330528 0.454933i −0.611117 0.791540i \(-0.709279\pi\)
0.941645 + 0.336607i \(0.109279\pi\)
\(194\) 36368.9 + 11817.0i 0.966334 + 0.313981i
\(195\) 29844.2 9696.97i 0.784857 0.255016i
\(196\) 47089.7 34212.6i 1.22578 0.890583i
\(197\) 1957.53i 0.0504400i −0.999682 0.0252200i \(-0.991971\pi\)
0.999682 0.0252200i \(-0.00802862\pi\)
\(198\) 15099.2 82990.7i 0.385144 2.11689i
\(199\) −50821.6 −1.28334 −0.641670 0.766980i \(-0.721758\pi\)
−0.641670 + 0.766980i \(0.721758\pi\)
\(200\) 32478.2 + 44702.4i 0.811955 + 1.11756i
\(201\) −26552.2 81719.2i −0.657216 2.02270i
\(202\) 22747.4 70009.2i 0.557479 1.71574i
\(203\) 12695.4 + 9223.78i 0.308075 + 0.223829i
\(204\) −13472.0 + 18542.6i −0.323721 + 0.445564i
\(205\) 27193.6 + 8835.75i 0.647082 + 0.210250i
\(206\) −23015.5 + 7478.19i −0.542358 + 0.176223i
\(207\) −13316.9 + 9675.32i −0.310787 + 0.225800i
\(208\) 55482.5i 1.28242i
\(209\) 20362.8 + 42332.6i 0.466171 + 0.969130i
\(210\) −29228.7 −0.662783
\(211\) −6534.60 8994.10i −0.146776 0.202019i 0.729299 0.684196i \(-0.239847\pi\)
−0.876074 + 0.482176i \(0.839847\pi\)
\(212\) 801.098 + 2465.53i 0.0178244 + 0.0548577i
\(213\) 22941.9 70607.8i 0.505673 1.55630i
\(214\) −46331.8 33662.1i −1.01170 0.735044i
\(215\) −12745.9 + 17543.3i −0.275737 + 0.379520i
\(216\) −28209.0 9165.67i −0.604617 0.196452i
\(217\) −28682.4 + 9319.47i −0.609110 + 0.197912i
\(218\) −77306.8 + 56166.7i −1.62669 + 1.18186i
\(219\) 42129.4i 0.878410i
\(220\) 34077.9 + 35674.9i 0.704090 + 0.737084i
\(221\) 9757.23 0.199775
\(222\) −36411.1 50115.6i −0.738802 1.01687i
\(223\) 24854.2 + 76493.4i 0.499793 + 1.53820i 0.809352 + 0.587324i \(0.199819\pi\)
−0.309559 + 0.950880i \(0.600181\pi\)
\(224\) 1433.20 4410.94i 0.0285635 0.0879094i
\(225\) 37986.9 + 27599.1i 0.750358 + 0.545167i
\(226\) −11769.8 + 16199.8i −0.230438 + 0.317170i
\(227\) −5169.69 1679.73i −0.100326 0.0325978i 0.258424 0.966032i \(-0.416797\pi\)
−0.358750 + 0.933434i \(0.616797\pi\)
\(228\) 162876. 52921.5i 3.13319 1.01803i
\(229\) 10375.1 7537.98i 0.197844 0.143742i −0.484453 0.874817i \(-0.660981\pi\)
0.682297 + 0.731075i \(0.260981\pi\)
\(230\) 14322.4i 0.270745i
\(231\) 40367.7 5449.67i 0.756502 0.102128i
\(232\) −73598.5 −1.36739
\(233\) −29361.6 40412.7i −0.540838 0.744400i 0.447896 0.894086i \(-0.352174\pi\)
−0.988734 + 0.149686i \(0.952174\pi\)
\(234\) 40455.4 + 124509.i 0.738830 + 2.27389i
\(235\) 14182.2 43648.4i 0.256808 0.790374i
\(236\) 29296.4 + 21285.1i 0.526005 + 0.382165i
\(237\) −24918.1 + 34296.8i −0.443627 + 0.610600i
\(238\) −8643.49 2808.44i −0.152593 0.0495805i
\(239\) 19061.2 6193.36i 0.333699 0.108425i −0.137375 0.990519i \(-0.543867\pi\)
0.471074 + 0.882094i \(0.343867\pi\)
\(240\) 39940.2 29018.3i 0.693407 0.503790i
\(241\) 67743.9i 1.16637i 0.812340 + 0.583185i \(0.198194\pi\)
−0.812340 + 0.583185i \(0.801806\pi\)
\(242\) −79913.1 63846.4i −1.36454 1.09020i
\(243\) 83471.9 1.41360
\(244\) 4502.17 + 6196.71i 0.0756210 + 0.104083i
\(245\) 6813.36 + 20969.4i 0.113509 + 0.349344i
\(246\) −66785.0 + 205543.i −1.10359 + 3.39651i
\(247\) −58982.3 42853.1i −0.966780 0.702407i
\(248\) 83139.3 114431.i 1.35177 1.86055i
\(249\) −79695.2 25894.5i −1.28539 0.417647i
\(250\) −90464.5 + 29393.7i −1.44743 + 0.470299i
\(251\) 14482.2 10522.0i 0.229873 0.167013i −0.466887 0.884317i \(-0.654624\pi\)
0.696760 + 0.717305i \(0.254624\pi\)
\(252\) 81967.1i 1.29074i
\(253\) 2670.40 + 19780.7i 0.0417192 + 0.309029i
\(254\) 195644. 3.03248
\(255\) −5103.19 7023.94i −0.0784805 0.108019i
\(256\) −41203.2 126810.i −0.628711 1.93497i
\(257\) 21254.3 65413.9i 0.321796 0.990385i −0.651071 0.759017i \(-0.725680\pi\)
0.972866 0.231368i \(-0.0743201\pi\)
\(258\) −132601. 96340.3i −1.99208 1.44733i
\(259\) 9704.96 13357.7i 0.144675 0.199128i
\(260\) −72821.5 23661.1i −1.07724 0.350017i
\(261\) −59480.9 + 19326.5i −0.873166 + 0.283709i
\(262\) 68437.9 49723.0i 0.996997 0.724361i
\(263\) 89436.3i 1.29301i 0.762909 + 0.646506i \(0.223770\pi\)
−0.762909 + 0.646506i \(0.776230\pi\)
\(264\) −138145. + 131962.i −1.98211 + 1.89339i
\(265\) −982.006 −0.0139837
\(266\) 39915.2 + 54938.6i 0.564125 + 0.776452i
\(267\) 5264.88 + 16203.6i 0.0738526 + 0.227295i
\(268\) −64788.8 + 199400.i −0.902050 + 2.77622i
\(269\) 68994.6 + 50127.5i 0.953478 + 0.692742i 0.951627 0.307256i \(-0.0994109\pi\)
0.00185080 + 0.999998i \(0.499411\pi\)
\(270\) 12890.6 17742.4i 0.176826 0.243380i
\(271\) −1142.71 371.287i −0.0155595 0.00505559i 0.301227 0.953552i \(-0.402604\pi\)
−0.316786 + 0.948497i \(0.602604\pi\)
\(272\) 14599.3 4743.60i 0.197331 0.0641166i
\(273\) −51145.4 + 37159.3i −0.686248 + 0.498588i
\(274\) 260677.i 3.47217i
\(275\) 51309.3 24680.8i 0.678469 0.326357i
\(276\) 72768.2 0.955264
\(277\) 1919.07 + 2641.37i 0.0250110 + 0.0344247i 0.821339 0.570440i \(-0.193227\pi\)
−0.796328 + 0.604865i \(0.793227\pi\)
\(278\) −8568.92 26372.4i −0.110876 0.341240i
\(279\) 37142.6 114313.i 0.477160 1.46855i
\(280\) 29560.1 + 21476.7i 0.377042 + 0.273937i
\(281\) 75056.5 103306.i 0.950551 1.30832i −0.000731006 1.00000i \(-0.500233\pi\)
0.951282 0.308322i \(-0.0997673\pi\)
\(282\) 329916. + 107196.i 4.14864 + 1.34797i
\(283\) −48541.1 + 15771.9i −0.606089 + 0.196930i −0.595954 0.803018i \(-0.703226\pi\)
−0.0101347 + 0.999949i \(0.503226\pi\)
\(284\) −146556. + 106479.i −1.81705 + 1.32016i
\(285\) 64872.5i 0.798677i
\(286\) 156185. + 28416.0i 1.90944 + 0.347401i
\(287\) −57604.5 −0.699346
\(288\) 10864.9 + 14954.2i 0.130990 + 0.180293i
\(289\) 24975.2 + 76865.7i 0.299029 + 0.920316i
\(290\) 16816.0 51754.4i 0.199953 0.615392i
\(291\) −59541.3 43259.3i −0.703124 0.510850i
\(292\) −60423.2 + 83165.4i −0.708661 + 0.975388i
\(293\) −131095. 42595.4i −1.52704 0.496167i −0.579277 0.815130i \(-0.696665\pi\)
−0.947767 + 0.318964i \(0.896665\pi\)
\(294\) −158497. + 51498.8i −1.83369 + 0.595802i
\(295\) −11097.5 + 8062.80i −0.127521 + 0.0926492i
\(296\) 77438.0i 0.883833i
\(297\) −14495.1 + 26907.4i −0.164327 + 0.305041i
\(298\) 18222.8 0.205203
\(299\) −18208.5 25061.9i −0.203672 0.280331i
\(300\) −64143.6 197414.i −0.712706 2.19348i
\(301\) 13499.9 41548.5i 0.149004 0.458587i
\(302\) 123901. + 90019.1i 1.35850 + 0.987008i
\(303\) −83272.9 + 114615.i −0.907023 + 1.24841i
\(304\) −109086. 35444.2i −1.18038 0.383529i
\(305\) −2759.44 + 896.596i −0.0296634 + 0.00963823i
\(306\) 29303.6 21290.3i 0.312953 0.227373i
\(307\) 118248.i 1.25464i −0.778762 0.627320i \(-0.784152\pi\)
0.778762 0.627320i \(-0.215848\pi\)
\(308\) −87503.8 47138.6i −0.922413 0.496907i
\(309\) 46574.7 0.487790
\(310\) 61472.2 + 84609.2i 0.639669 + 0.880429i
\(311\) −37325.6 114876.i −0.385910 1.18771i −0.935818 0.352483i \(-0.885337\pi\)
0.549909 0.835225i \(-0.314663\pi\)
\(312\) 91624.2 281990.i 0.941241 2.89684i
\(313\) 128376. + 93270.3i 1.31037 + 0.952039i 0.999999 + 0.00142300i \(0.000452956\pi\)
0.310370 + 0.950616i \(0.399547\pi\)
\(314\) −69669.0 + 95891.2i −0.706611 + 0.972566i
\(315\) 29529.6 + 9594.73i 0.297602 + 0.0966967i
\(316\) 98378.9 31965.2i 0.985207 0.320113i
\(317\) −2127.69 + 1545.86i −0.0211734 + 0.0153834i −0.598322 0.801256i \(-0.704165\pi\)
0.577148 + 0.816639i \(0.304165\pi\)
\(318\) 7422.49i 0.0733999i
\(319\) −13575.0 + 74613.2i −0.133401 + 0.733220i
\(320\) 42664.4 0.416644
\(321\) 64785.3 + 89169.3i 0.628733 + 0.865377i
\(322\) 8916.49 + 27442.1i 0.0859968 + 0.264671i
\(323\) −6233.27 + 19184.0i −0.0597463 + 0.183880i
\(324\) −124389. 90373.9i −1.18493 0.860900i
\(325\) −51940.2 + 71489.5i −0.491741 + 0.676824i
\(326\) −258468. 83981.4i −2.43205 0.790219i
\(327\) 174905. 56830.1i 1.63571 0.531475i
\(328\) 218571. 158801.i 2.03163 1.47607i
\(329\) 92460.7i 0.854212i
\(330\) −61231.4 127295.i −0.562272 1.16892i
\(331\) −140188. −1.27954 −0.639772 0.768565i \(-0.720971\pi\)
−0.639772 + 0.768565i \(0.720971\pi\)
\(332\) 120183. + 165418.i 1.09036 + 1.50075i
\(333\) 20334.7 + 62583.9i 0.183379 + 0.564383i
\(334\) −38511.2 + 118525.i −0.345219 + 1.06247i
\(335\) −64252.0 46681.8i −0.572528 0.415966i
\(336\) −58461.1 + 80464.8i −0.517832 + 0.712734i
\(337\) 63862.6 + 20750.2i 0.562324 + 0.182710i 0.576367 0.817191i \(-0.304470\pi\)
−0.0140424 + 0.999901i \(0.504470\pi\)
\(338\) −44550.6 + 14475.4i −0.389960 + 0.126706i
\(339\) 31177.8 22652.0i 0.271298 0.197109i
\(340\) 21184.7i 0.183259i
\(341\) −100674. 105392.i −0.865785 0.906357i
\(342\) −270646. −2.31392
\(343\) −61443.7 84569.9i −0.522262 0.718833i
\(344\) 63315.5 + 194865.i 0.535048 + 1.64671i
\(345\) −8517.95 + 26215.5i −0.0715643 + 0.220252i
\(346\) 117163. + 85123.6i 0.978671 + 0.711046i
\(347\) −45007.6 + 61947.6i −0.373789 + 0.514477i −0.953926 0.300043i \(-0.902999\pi\)
0.580137 + 0.814519i \(0.302999\pi\)
\(348\) 262950. + 85437.6i 2.17127 + 0.705489i
\(349\) 192023. 62392.0i 1.57653 0.512246i 0.615370 0.788238i \(-0.289007\pi\)
0.961160 + 0.275993i \(0.0890066\pi\)
\(350\) 66588.4 48379.3i 0.543579 0.394933i
\(351\) 47434.4i 0.385016i
\(352\) 22212.6 2998.72i 0.179273 0.0242020i
\(353\) −52506.0 −0.421366 −0.210683 0.977554i \(-0.567569\pi\)
−0.210683 + 0.977554i \(0.567569\pi\)
\(354\) −60942.7 83880.4i −0.486312 0.669351i
\(355\) −21205.1 65262.5i −0.168261 0.517853i
\(356\) 12846.6 39537.8i 0.101365 0.311969i
\(357\) 14150.6 + 10281.0i 0.111030 + 0.0806679i
\(358\) 31911.9 43923.0i 0.248993 0.342709i
\(359\) 181110. + 58846.2i 1.40525 + 0.456594i 0.910885 0.412660i \(-0.135400\pi\)
0.494366 + 0.869254i \(0.335400\pi\)
\(360\) −138495. + 44999.9i −1.06864 + 0.347222i
\(361\) 16503.2 11990.3i 0.126635 0.0920056i
\(362\) 34770.7i 0.265336i
\(363\) 108300. + 164390.i 0.821896 + 1.24756i
\(364\) 154258. 1.16425
\(365\) −22888.4 31503.1i −0.171802 0.236466i
\(366\) −6776.92 20857.2i −0.0505907 0.155702i
\(367\) −12757.1 + 39262.2i −0.0947149 + 0.291502i −0.987179 0.159615i \(-0.948975\pi\)
0.892464 + 0.451118i \(0.148975\pi\)
\(368\) −39428.7 28646.6i −0.291150 0.211533i
\(369\) 134945. 185735.i 0.991067 1.36409i
\(370\) −54454.3 17693.3i −0.397767 0.129242i
\(371\) 1881.55 611.353i 0.0136700 0.00444165i
\(372\) −429876. + 312323.i −3.10640 + 2.25693i
\(373\) 135550.i 0.974278i −0.873325 0.487139i \(-0.838041\pi\)
0.873325 0.487139i \(-0.161959\pi\)
\(374\) −5876.16 43526.9i −0.0420098 0.311182i
\(375\) 183066. 1.30180
\(376\) −254891. 350828.i −1.80293 2.48152i
\(377\) −36371.6 111940.i −0.255906 0.787597i
\(378\) −13653.1 + 42020.0i −0.0955538 + 0.294085i
\(379\) −116364. 84543.6i −0.810105 0.588576i 0.103756 0.994603i \(-0.466914\pi\)
−0.913861 + 0.406027i \(0.866914\pi\)
\(380\) 93042.1 128061.i 0.644336 0.886852i
\(381\) −358103. 116355.i −2.46694 0.801556i
\(382\) −317325. + 103105.i −2.17459 + 0.706567i
\(383\) 35217.9 25587.3i 0.240086 0.174432i −0.461236 0.887278i \(-0.652594\pi\)
0.701321 + 0.712845i \(0.252594\pi\)
\(384\) 362330.i 2.45720i
\(385\) 27225.0 26006.4i 0.183674 0.175452i
\(386\) 146336. 0.982147
\(387\) 102341. + 140860.i 0.683324 + 0.940515i
\(388\) 55493.6 + 170792.i 0.368620 + 1.13450i
\(389\) −25941.4 + 79839.4i −0.171433 + 0.527616i −0.999453 0.0330828i \(-0.989467\pi\)
0.828020 + 0.560699i \(0.189467\pi\)
\(390\) 177361. + 128860.i 1.16608 + 0.847207i
\(391\) −5037.84 + 6933.99i −0.0329527 + 0.0453554i
\(392\) 198134. + 64377.7i 1.28940 + 0.418951i
\(393\) −154839. + 50310.3i −1.00253 + 0.325741i
\(394\) 11064.0 8038.45i 0.0712720 0.0517821i
\(395\) 39183.8i 0.251138i
\(396\) 356977. 171713.i 2.27641 1.09500i
\(397\) −203508. −1.29122 −0.645609 0.763668i \(-0.723396\pi\)
−0.645609 + 0.763668i \(0.723396\pi\)
\(398\) −208696. 287245.i −1.31749 1.81337i
\(399\) −40386.7 124297.i −0.253684 0.780758i
\(400\) −42960.2 + 132218.i −0.268501 + 0.826362i
\(401\) −40878.6 29700.0i −0.254218 0.184701i 0.453376 0.891319i \(-0.350220\pi\)
−0.707594 + 0.706619i \(0.750220\pi\)
\(402\) 352844. 485648.i 2.18339 3.00518i
\(403\) 215132. + 69900.7i 1.32463 + 0.430399i
\(404\) 328769. 106824.i 2.01432 0.654492i
\(405\) 47118.6 34233.7i 0.287265 0.208710i
\(406\) 109632.i 0.665096i
\(407\) 78505.6 + 14283.2i 0.473928 + 0.0862256i
\(408\) −82034.7 −0.492807
\(409\) 145408. + 200136.i 0.869241 + 1.19641i 0.979286 + 0.202482i \(0.0649006\pi\)
−0.110045 + 0.993927i \(0.535099\pi\)
\(410\) 61729.0 + 189982.i 0.367216 + 1.13018i
\(411\) −155032. + 477139.i −0.917777 + 2.82463i
\(412\) −91940.6 66798.8i −0.541643 0.393527i
\(413\) 16243.6 22357.3i 0.0952316 0.131075i
\(414\) −109370. 35536.5i −0.638114 0.207336i
\(415\) −73661.9 + 23934.2i −0.427707 + 0.138971i
\(416\) −28143.1 + 20447.2i −0.162624 + 0.118154i
\(417\) 53367.8i 0.306907i
\(418\) −155646. + 288927.i −0.890812 + 1.65362i
\(419\) −82331.5 −0.468962 −0.234481 0.972121i \(-0.575339\pi\)
−0.234481 + 0.972121i \(0.575339\pi\)
\(420\) −80679.7 111046.i −0.457368 0.629513i
\(421\) 104696. + 322221.i 0.590698 + 1.81798i 0.575071 + 0.818103i \(0.304974\pi\)
0.0156269 + 0.999878i \(0.495026\pi\)
\(422\) 24001.0 73867.4i 0.134773 0.414790i
\(423\) −298123. 216599.i −1.66615 1.21053i
\(424\) −5453.90 + 7506.64i −0.0303372 + 0.0417555i
\(425\) 23252.0 + 7555.04i 0.128731 + 0.0418272i
\(426\) 493286. 160278.i 2.71819 0.883193i
\(427\) 4728.98 3435.80i 0.0259365 0.0188440i
\(428\) 268941.i 1.46815i
\(429\) −268978. 144900.i −1.46151 0.787322i
\(430\) −151496. −0.819338
\(431\) 187263. + 257746.i 1.00809 + 1.38751i 0.920229 + 0.391379i \(0.128002\pi\)
0.0878574 + 0.996133i \(0.471998\pi\)
\(432\) −23060.8 70974.0i −0.123568 0.380305i
\(433\) 94321.8 290293.i 0.503079 1.54832i −0.300897 0.953657i \(-0.597286\pi\)
0.803976 0.594662i \(-0.202714\pi\)
\(434\) −170456. 123844.i −0.904969 0.657498i
\(435\) −61559.6 + 84729.6i −0.325325 + 0.447772i
\(436\) −426778. 138669.i −2.24507 0.729467i
\(437\) 60907.3 19790.0i 0.318938 0.103629i
\(438\) 238116. 173002.i 1.24120 0.901783i
\(439\) 109029.i 0.565735i −0.959159 0.282868i \(-0.908714\pi\)
0.959159 0.282868i \(-0.0912857\pi\)
\(440\) −31608.1 + 173730.i −0.163265 + 0.897364i
\(441\) 177033. 0.910286
\(442\) 40067.4 + 55148.1i 0.205091 + 0.282284i
\(443\) 22834.7 + 70277.9i 0.116356 + 0.358106i 0.992227 0.124438i \(-0.0397128\pi\)
−0.875872 + 0.482544i \(0.839713\pi\)
\(444\) 89894.6 276667.i 0.456003 1.40343i
\(445\) 12740.1 + 9256.26i 0.0643360 + 0.0467429i
\(446\) −330280. + 454592.i −1.66040 + 2.28535i
\(447\) −33354.8 10837.6i −0.166933 0.0542400i
\(448\) −81746.1 + 26560.9i −0.407297 + 0.132339i
\(449\) −59594.1 + 43297.7i −0.295604 + 0.214769i −0.725695 0.688017i \(-0.758482\pi\)
0.430091 + 0.902786i \(0.358482\pi\)
\(450\) 328036.i 1.61993i
\(451\) −120676. 250875.i −0.593290 1.23340i
\(452\) −94034.6 −0.460268
\(453\) −173249. 238457.i −0.844256 1.16202i
\(454\) −11735.1 36116.9i −0.0569344 0.175226i
\(455\) −18056.8 + 55573.3i −0.0872206 + 0.268437i
\(456\) 495898. + 360291.i 2.38486 + 1.73270i
\(457\) 203868. 280600.i 0.976149 1.34355i 0.0372711 0.999305i \(-0.488133\pi\)
0.938878 0.344249i \(-0.111867\pi\)
\(458\) 85209.7 + 27686.3i 0.406217 + 0.131988i
\(459\) −12481.6 + 4055.51i −0.0592439 + 0.0192495i
\(460\) 54413.9 39534.0i 0.257155 0.186834i
\(461\) 45865.9i 0.215818i 0.994161 + 0.107909i \(0.0344156\pi\)
−0.994161 + 0.107909i \(0.965584\pi\)
\(462\) 196569. + 205780.i 0.920939 + 0.964096i
\(463\) 100968. 0.471003 0.235501 0.971874i \(-0.424327\pi\)
0.235501 + 0.971874i \(0.424327\pi\)
\(464\) −108843. 149809.i −0.505548 0.695827i
\(465\) −62198.3 191427.i −0.287655 0.885312i
\(466\) 107842. 331904.i 0.496612 1.52841i
\(467\) −3773.53 2741.63i −0.0173027 0.0125711i 0.579100 0.815256i \(-0.303404\pi\)
−0.596403 + 0.802685i \(0.703404\pi\)
\(468\) −361367. + 497379.i −1.64990 + 2.27089i
\(469\) 152170. + 49443.2i 0.691806 + 0.224782i
\(470\) 304940. 99081.1i 1.38044 0.448534i
\(471\) 184550. 134084.i 0.831903 0.604413i
\(472\) 129611.i 0.581778i
\(473\) 209230. 28246.2i 0.935194 0.126252i
\(474\) −296171. −1.31821
\(475\) −107377. 147792.i −0.475908 0.655032i
\(476\) −13188.7 40590.5i −0.0582086 0.179148i
\(477\) −2436.54 + 7498.89i −0.0107087 + 0.0329579i
\(478\) 113279. + 82301.7i 0.495784 + 0.360208i
\(479\) −191734. + 263900.i −0.835659 + 1.15019i 0.151184 + 0.988506i \(0.451691\pi\)
−0.986843 + 0.161680i \(0.948309\pi\)
\(480\) 29438.7 + 9565.20i 0.127772 + 0.0415156i
\(481\) −117780. + 38269.0i −0.509075 + 0.165408i
\(482\) −382890. + 278186.i −1.64809 + 1.19740i
\(483\) 55532.6i 0.238042i
\(484\) 21982.7 479841.i 0.0938405 2.04836i
\(485\) −68025.4 −0.289193
\(486\) 342772. + 471785.i 1.45122 + 1.99743i
\(487\) 6638.87 + 20432.3i 0.0279922 + 0.0861510i 0.964077 0.265624i \(-0.0855781\pi\)
−0.936084 + 0.351775i \(0.885578\pi\)
\(488\) −8471.71 + 26073.2i −0.0355739 + 0.109485i
\(489\) 423150. + 307436.i 1.76961 + 1.28569i
\(490\) −90540.7 + 124619.i −0.377096 + 0.519028i
\(491\) 98398.4 + 31971.6i 0.408155 + 0.132618i 0.505896 0.862594i \(-0.331162\pi\)
−0.0977415 + 0.995212i \(0.531162\pi\)
\(492\) −965247. + 313628.i −3.98757 + 1.29564i
\(493\) −26345.6 + 19141.2i −0.108396 + 0.0787544i
\(494\) 509343.i 2.08716i
\(495\) 20075.3 + 148705.i 0.0819316 + 0.606898i
\(496\) 355876. 1.44656
\(497\) 81258.9 + 111843.i 0.328971 + 0.452790i
\(498\) −180907. 556773.i −0.729451 2.24502i
\(499\) 38922.4 119791.i 0.156314 0.481086i −0.841978 0.539513i \(-0.818609\pi\)
0.998292 + 0.0584271i \(0.0186085\pi\)
\(500\) −361381. 262559.i −1.44552 1.05023i
\(501\) 140981. 194043.i 0.561674 0.773078i
\(502\) 118941. + 38646.2i 0.471979 + 0.153355i
\(503\) −180440. + 58628.6i −0.713177 + 0.231725i −0.643063 0.765814i \(-0.722337\pi\)
−0.0701146 + 0.997539i \(0.522337\pi\)
\(504\) 237346. 172442.i 0.934375 0.678863i
\(505\) 130947.i 0.513467i
\(506\) −100835. + 96321.2i −0.393831 + 0.376202i
\(507\) 90153.6 0.350725
\(508\) 540033. + 743292.i 2.09263 + 2.88026i
\(509\) −57036.6 175541.i −0.220150 0.677551i −0.998748 0.0500282i \(-0.984069\pi\)
0.778598 0.627523i \(-0.215931\pi\)
\(510\) 18743.6 57686.8i 0.0720629 0.221787i
\(511\) 63467.2 + 46111.6i 0.243056 + 0.176591i
\(512\) 294106. 404802.i 1.12193 1.54420i
\(513\) 93262.4 + 30302.8i 0.354382 + 0.115146i
\(514\) 457000. 148488.i 1.72978 0.562039i
\(515\) 34827.2 25303.4i 0.131312 0.0954036i
\(516\) 769706.i 2.89085i
\(517\) −402678. + 193696.i −1.50653 + 0.724670i
\(518\) 115351. 0.429895
\(519\) −163827. 225489.i −0.608207 0.837125i
\(520\) −84687.8 260642.i −0.313194 0.963913i
\(521\) −98896.3 + 304371.i −0.364338 + 1.12132i 0.586057 + 0.810270i \(0.300680\pi\)
−0.950395 + 0.311047i \(0.899320\pi\)
\(522\) −353488. 256824.i −1.29728 0.942530i
\(523\) −23706.2 + 32628.8i −0.0866681 + 0.119288i −0.850149 0.526542i \(-0.823488\pi\)
0.763481 + 0.645830i \(0.223488\pi\)
\(524\) 377817. + 122760.i 1.37600 + 0.447090i
\(525\) −150655. + 48950.7i −0.546594 + 0.177599i
\(526\) −505496. + 367265.i −1.82703 + 1.32742i
\(527\) 62584.8i 0.225345i
\(528\) −472905. 86039.6i −1.69631 0.308625i
\(529\) −252629. −0.902760
\(530\) −4032.54 5550.32i −0.0143558 0.0197591i
\(531\) 34035.0 + 104749.i 0.120708 + 0.371502i
\(532\) −98545.8 + 303293.i −0.348189 + 1.07162i
\(533\) 349546. + 253960.i 1.23041 + 0.893944i
\(534\) −69963.4 + 96296.4i −0.245351 + 0.337697i
\(535\) 96889.1 + 31481.2i 0.338507 + 0.109988i
\(536\) −713689. + 231892.i −2.48416 + 0.807152i
\(537\) −84533.3 + 61417.0i −0.293143 + 0.212981i
\(538\) 595804.i 2.05844i
\(539\) 101810. 188992.i 0.350441 0.650526i
\(540\) 102989. 0.353185
\(541\) −216936. 298587.i −0.741204 1.02018i −0.998548 0.0538605i \(-0.982847\pi\)
0.257344 0.966320i \(-0.417153\pi\)
\(542\) −2593.92 7983.27i −0.00882995 0.0271758i
\(543\) −20679.1 + 63643.7i −0.0701345 + 0.215852i
\(544\) 7786.50 + 5657.22i 0.0263114 + 0.0191164i
\(545\) 99913.8 137520.i 0.336382 0.462990i
\(546\) −420050. 136483.i −1.40902 0.457817i
\(547\) 465924. 151388.i 1.55718 0.505960i 0.601131 0.799151i \(-0.294717\pi\)
0.956054 + 0.293191i \(0.0947171\pi\)
\(548\) 990366. 719543.i 3.29788 2.39605i
\(549\) 23296.5i 0.0772940i
\(550\) 350194. + 188651.i 1.15767 + 0.623640i
\(551\) 243325. 0.801465
\(552\) 153089. + 210710.i 0.502420 + 0.691522i
\(553\) −24394.1 75077.2i −0.0797689 0.245503i
\(554\) −7048.56 + 21693.3i −0.0229658 + 0.0706814i
\(555\) 89149.7 + 64771.0i 0.289424 + 0.210279i
\(556\) 76541.7 105351.i 0.247599 0.340790i
\(557\) −438618. 142515.i −1.41376 0.459358i −0.500146 0.865941i \(-0.666720\pi\)
−0.913614 + 0.406583i \(0.866720\pi\)
\(558\) 798625. 259489.i 2.56492 0.833394i
\(559\) −265092. + 192601.i −0.848346 + 0.616359i
\(560\) 91930.4i 0.293145i
\(561\) −15131.0 + 83165.7i −0.0480776 + 0.264252i
\(562\) 892105. 2.82451
\(563\) −250537. 344834.i −0.790414 1.08791i −0.994056 0.108867i \(-0.965278\pi\)
0.203642 0.979045i \(-0.434722\pi\)
\(564\) 503403. + 1.54932e6i 1.58255 + 4.87059i
\(565\) 11007.3 33877.0i 0.0344813 0.106123i
\(566\) −288474. 209589.i −0.900480 0.654237i
\(567\) −68968.2 + 94926.6i −0.214527 + 0.295272i
\(568\) −616648. 200361.i −1.91135 0.621036i
\(569\) −472778. + 153615.i −1.46027 + 0.474470i −0.928152 0.372201i \(-0.878603\pi\)
−0.532117 + 0.846671i \(0.678603\pi\)
\(570\) −366661. + 266395.i −1.12854 + 0.819929i
\(571\) 310454.i 0.952192i −0.879393 0.476096i \(-0.842052\pi\)
0.879393 0.476096i \(-0.157948\pi\)
\(572\) 323156. + 671815.i 0.987690 + 2.05332i
\(573\) 642146. 1.95580
\(574\) −236549. 325582.i −0.717955 0.988181i
\(575\) −23986.4 73822.7i −0.0725488 0.223282i
\(576\) 105858. 325798.i 0.319065 0.981981i
\(577\) −120971. 87890.3i −0.363353 0.263991i 0.391096 0.920350i \(-0.372096\pi\)
−0.754449 + 0.656359i \(0.772096\pi\)
\(578\) −331888. + 456805.i −0.993427 + 1.36733i
\(579\) −267851. 87030.1i −0.798981 0.259605i
\(580\) 243043. 78969.5i 0.722483 0.234749i
\(581\) 126238. 91717.1i 0.373970 0.271705i
\(582\) 514170.i 1.51796i
\(583\) 6604.19 + 6913.67i 0.0194304 + 0.0203410i
\(584\) −367934. −1.07881
\(585\) −136886. 188408.i −0.399989 0.550537i
\(586\) −297584. 915869.i −0.866591 2.66709i
\(587\) 44466.6 136854.i 0.129050 0.397174i −0.865567 0.500793i \(-0.833042\pi\)
0.994617 + 0.103618i \(0.0330420\pi\)
\(588\) −633152. 460012.i −1.83127 1.33050i
\(589\) −274869. + 378324.i −0.792309 + 1.09052i
\(590\) −91142.2 29613.9i −0.261828 0.0850730i
\(591\) −25032.0 + 8133.40i −0.0716673 + 0.0232861i
\(592\) −157624. + 114521.i −0.449758 + 0.326768i
\(593\) 251778.i 0.715992i 0.933723 + 0.357996i \(0.116540\pi\)
−0.933723 + 0.357996i \(0.883460\pi\)
\(594\) −211604. + 28566.7i −0.599724 + 0.0809632i
\(595\) 16167.0 0.0456663
\(596\) 50300.3 + 69232.4i 0.141605 + 0.194902i
\(597\) 211161. + 649885.i 0.592467 + 1.82343i
\(598\) 66878.1 205830.i 0.187017 0.575580i
\(599\) 78951.7 + 57361.8i 0.220043 + 0.159871i 0.692346 0.721566i \(-0.256577\pi\)
−0.472303 + 0.881436i \(0.656577\pi\)
\(600\) 436691. 601054.i 1.21303 1.66959i
\(601\) 579164. + 188182.i 1.60344 + 0.520989i 0.967955 0.251124i \(-0.0808003\pi\)
0.635485 + 0.772113i \(0.280800\pi\)
\(602\) 290269. 94314.3i 0.800956 0.260246i
\(603\) −515897. + 374821.i −1.41882 + 1.03083i
\(604\) 719203.i 1.97141i
\(605\) 170295. + 64087.8i 0.465255 + 0.175091i
\(606\) −989763. −2.69517
\(607\) 115572. + 159071.i 0.313671 + 0.431731i 0.936522 0.350609i \(-0.114026\pi\)
−0.622851 + 0.782341i \(0.714026\pi\)
\(608\) −22223.1 68395.6i −0.0601170 0.185021i
\(609\) 65201.1 200668.i 0.175801 0.541059i
\(610\) −16399.0 11914.6i −0.0440716 0.0320199i
\(611\) 407630. 561054.i 1.09190 1.50287i
\(612\) 161773. + 52563.2i 0.431920 + 0.140339i
\(613\) −172252. + 55967.9i −0.458398 + 0.148942i −0.529108 0.848554i \(-0.677473\pi\)
0.0707104 + 0.997497i \(0.477473\pi\)
\(614\) 668343. 485580.i 1.77281 1.28802i
\(615\) 384453.i 1.01647i
\(616\) −47594.3 352548.i −0.125428 0.929089i
\(617\) −110226. −0.289543 −0.144772 0.989465i \(-0.546245\pi\)
−0.144772 + 0.989465i \(0.546245\pi\)
\(618\) 191256. + 263241.i 0.500770 + 0.689250i
\(619\) 92714.6 + 285346.i 0.241973 + 0.744716i 0.996120 + 0.0880101i \(0.0280508\pi\)
−0.754147 + 0.656706i \(0.771949\pi\)
\(620\) −151767. + 467092.i −0.394816 + 1.21512i
\(621\) 33709.3 + 24491.2i 0.0874111 + 0.0635079i
\(622\) 496008. 682697.i 1.28206 1.76460i
\(623\) −30173.0 9803.80i −0.0777396 0.0252591i
\(624\) 709488. 230526.i 1.82211 0.592041i
\(625\) −101036. + 73406.8i −0.258652 + 0.187921i
\(626\) 1.10859e6i 2.82893i
\(627\) 456725. 436281.i 1.16177 1.10976i
\(628\) −556617. −1.41136
\(629\) 20139.7 + 27720.0i 0.0509041 + 0.0700634i
\(630\) 67031.5 + 206302.i 0.168888 + 0.519783i
\(631\) −31706.3 + 97581.9i −0.0796318 + 0.245082i −0.982945 0.183900i \(-0.941128\pi\)
0.903313 + 0.428982i \(0.141128\pi\)
\(632\) 299528. + 217620.i 0.749901 + 0.544835i
\(633\) −87862.0 + 120932.i −0.219277 + 0.301809i
\(634\) −17474.5 5677.80i −0.0434736 0.0141254i
\(635\) −330993. + 107546.i −0.820864 + 0.266715i
\(636\) 28199.6 20488.2i 0.0697154 0.0506512i
\(637\) 333169.i 0.821080i
\(638\) −477461. + 229668.i −1.17300 + 0.564234i
\(639\) −550977. −1.34937
\(640\) 196849. + 270939.i 0.480588 + 0.661473i
\(641\) −201254. 619395.i −0.489810 1.50748i −0.824892 0.565291i \(-0.808764\pi\)
0.335082 0.942189i \(-0.391236\pi\)
\(642\) −237950. + 732336.i −0.577320 + 1.77681i
\(643\) −192555. 139900.i −0.465730 0.338372i 0.330045 0.943965i \(-0.392936\pi\)
−0.795775 + 0.605593i \(0.792936\pi\)
\(644\) −79646.4 + 109624.i −0.192041 + 0.264322i
\(645\) 277295. + 90098.6i 0.666535 + 0.216570i
\(646\) −134025. + 43547.4i −0.321160 + 0.104351i
\(647\) 64434.0 46814.1i 0.153924 0.111832i −0.508157 0.861264i \(-0.669673\pi\)
0.662082 + 0.749432i \(0.269673\pi\)
\(648\) 550312.i 1.31057i
\(649\) 131398. + 23906.3i 0.311960 + 0.0567574i
\(650\) −617349. −1.46118
\(651\) 238347. + 328057.i 0.562404 + 0.774082i
\(652\) −394384. 1.21379e6i −0.927734 2.85527i
\(653\) 162023. 498656.i 0.379971 1.16943i −0.560092 0.828431i \(-0.689234\pi\)
0.940063 0.341001i \(-0.110766\pi\)
\(654\) 1.03944e6 + 755199.i 2.43021 + 1.76565i
\(655\) −88451.3 + 121743.i −0.206168 + 0.283766i
\(656\) 646475. + 210053.i 1.50226 + 0.488113i
\(657\) −297357. + 96617.3i −0.688887 + 0.223833i
\(658\) −522590. + 379684.i −1.20701 + 0.876941i
\(659\) 35482.4i 0.0817038i −0.999165 0.0408519i \(-0.986993\pi\)
0.999165 0.0408519i \(-0.0130072\pi\)
\(660\) 314604. 584002.i 0.722231 1.34068i
\(661\) 706789. 1.61766 0.808829 0.588043i \(-0.200102\pi\)
0.808829 + 0.588043i \(0.200102\pi\)
\(662\) −575673. 792346.i −1.31359 1.80800i
\(663\) −40540.7 124771.i −0.0922283 0.283849i
\(664\) −226148. + 696012.i −0.512928 + 1.57863i
\(665\) −97729.2 71004.4i −0.220994 0.160562i
\(666\) −270222. + 371929.i −0.609218 + 0.838517i
\(667\) 98329.9 + 31949.3i 0.221021 + 0.0718141i
\(668\) −556605. + 180852.i −1.24737 + 0.405294i
\(669\) 874898. 635651.i 1.95481 1.42025i
\(670\) 554849.i 1.23602i
\(671\) 24870.1 + 13397.6i 0.0552374 + 0.0297566i
\(672\) −62360.1 −0.138092
\(673\) 8421.04 + 11590.6i 0.0185924 + 0.0255903i 0.818212 0.574917i \(-0.194966\pi\)
−0.799620 + 0.600507i \(0.794966\pi\)
\(674\) 144967. + 446162.i 0.319116 + 0.982139i
\(675\) 36728.5 113039.i 0.0806113 0.248096i
\(676\) −177967. 129301.i −0.389446 0.282949i
\(677\) −263209. + 362276.i −0.574280 + 0.790429i −0.993054 0.117662i \(-0.962460\pi\)
0.418773 + 0.908091i \(0.362460\pi\)
\(678\) 256059. + 83198.7i 0.557033 + 0.180991i
\(679\) 130338. 42349.5i 0.282705 0.0918563i
\(680\) −61343.1 + 44568.4i −0.132662 + 0.0963849i
\(681\) 73087.0i 0.157596i
\(682\) 182266. 1.00180e6i 0.391865 2.15383i
\(683\) 281044. 0.602466 0.301233 0.953551i \(-0.402602\pi\)
0.301233 + 0.953551i \(0.402602\pi\)
\(684\) −747060. 1.02824e6i −1.59677 2.19777i
\(685\) 143295. + 441017.i 0.305387 + 0.939884i
\(686\) 225677. 694562.i 0.479555 1.47592i
\(687\) −139501. 101353.i −0.295572 0.214745i
\(688\) −303010. + 417058.i −0.640148 + 0.881088i
\(689\) −14112.6 4585.45i −0.0297281 0.00965925i
\(690\) −183149. + 59508.8i −0.384687 + 0.124992i
\(691\) −533286. + 387455.i −1.11687 + 0.811457i −0.983732 0.179640i \(-0.942507\pi\)
−0.133142 + 0.991097i \(0.542507\pi\)
\(692\) 680091.i 1.42022i
\(693\) −131042. 272425.i −0.272862 0.567258i
\(694\) −534950. −1.11069
\(695\) 28994.0 + 39906.9i 0.0600260 + 0.0826187i
\(696\) 305797. + 941147.i 0.631270 + 1.94285i
\(697\) 36940.1 113690.i 0.0760384 0.234022i
\(698\) 1.14117e6 + 829109.i 2.34229 + 1.70177i
\(699\) −394786. + 543376.i −0.807992 + 1.11211i
\(700\) 367606. + 119443.i 0.750217 + 0.243760i
\(701\) 633231. 205749.i 1.28862 0.418700i 0.417015 0.908900i \(-0.363076\pi\)
0.871610 + 0.490200i \(0.163076\pi\)
\(702\) 268100. 194786.i 0.544030 0.395261i
\(703\) 256019.i 0.518038i
\(704\) −286926. 300372.i −0.578929 0.606058i
\(705\) −617084. −1.24156
\(706\) −215613. 296765.i −0.432578 0.595393i
\(707\) −81521.7 250898.i −0.163093 0.501947i
\(708\) 150460. 463068.i 0.300161 0.923801i
\(709\) −611367. 444184.i −1.21621 0.883630i −0.220432 0.975402i \(-0.570747\pi\)
−0.995780 + 0.0917725i \(0.970747\pi\)
\(710\) 281788. 387848.i 0.558992 0.769386i
\(711\) 299219. + 97222.1i 0.591902 + 0.192321i
\(712\) 141513. 45980.4i 0.279150 0.0907012i
\(713\) −160752. + 116793.i −0.316211 + 0.229741i
\(714\) 122198.i 0.239700i
\(715\) −279856. + 37780.8i −0.547423 + 0.0739024i
\(716\) 254959. 0.497329
\(717\) −158396. 218014.i −0.308111 0.424078i
\(718\) 411117. + 1.26529e6i 0.797473 + 2.45437i
\(719\) −178748. + 550130.i −0.345767 + 1.06416i 0.615405 + 0.788211i \(0.288992\pi\)
−0.961172 + 0.275950i \(0.911008\pi\)
\(720\) −296413. 215357.i −0.571785 0.415426i
\(721\) −50977.0 + 70163.9i −0.0980627 + 0.134972i
\(722\) 135538. + 44039.1i 0.260009 + 0.0844820i
\(723\) 866281. 281472.i 1.65723 0.538466i
\(724\) 132101. 95977.1i 0.252017 0.183101i
\(725\) 294923.i 0.561090i
\(726\) −484407. + 1.28717e6i −0.919046 + 2.44210i
\(727\) −205506. −0.388825 −0.194413 0.980920i \(-0.562280\pi\)
−0.194413 + 0.980920i \(0.562280\pi\)
\(728\) 324528. + 446675.i 0.612336 + 0.842808i
\(729\) −229518. 706382.i −0.431878 1.32918i
\(730\) 84066.9 258731.i 0.157754 0.485515i
\(731\) 73344.3 + 53287.7i 0.137256 + 0.0997224i
\(732\) 60534.7 83318.9i 0.112975 0.155497i
\(733\) −819407. 266241.i −1.52508 0.495527i −0.577863 0.816134i \(-0.696113\pi\)
−0.947213 + 0.320606i \(0.896113\pi\)
\(734\) −274297. + 89124.4i −0.509130 + 0.165426i
\(735\) 239838. 174253.i 0.443960 0.322556i
\(736\) 30557.2i 0.0564103i
\(737\) 103451. + 766301.i 0.190458 + 1.41080i
\(738\) 1.60392e6 2.94490
\(739\) 573905. + 789913.i 1.05088 + 1.44641i 0.888048 + 0.459751i \(0.152061\pi\)
0.162828 + 0.986655i \(0.447939\pi\)
\(740\) −83089.2 255722.i −0.151733 0.466987i
\(741\) −302920. + 932293.i −0.551686 + 1.69792i
\(742\) 11181.8 + 8124.08i 0.0203098 + 0.0147559i
\(743\) 417262. 574311.i 0.755842 1.04033i −0.241707 0.970349i \(-0.577707\pi\)
0.997549 0.0699776i \(-0.0222928\pi\)
\(744\) −1.80874e6 587696.i −3.26761 1.06171i
\(745\) −30829.7 + 10017.2i −0.0555465 + 0.0180481i
\(746\) 766133. 556628.i 1.37666 1.00020i
\(747\) 621889.i 1.11448i
\(748\) 149148. 142472.i 0.266572 0.254639i
\(749\) −205241. −0.365848
\(750\) 751749. + 1.03469e6i 1.33644 + 1.83946i
\(751\) 187442. + 576888.i 0.332344 + 1.02285i 0.968016 + 0.250890i \(0.0807233\pi\)
−0.635672 + 0.771960i \(0.719277\pi\)
\(752\) 337155. 1.03766e6i 0.596202 1.83492i
\(753\) −194723. 141475.i −0.343422 0.249510i
\(754\) 483332. 665249.i 0.850164 1.17015i
\(755\) −259101. 84187.0i −0.454543 0.147690i
\(756\) −197329. + 64116.2i −0.345261 + 0.112182i
\(757\) 444331. 322825.i 0.775380 0.563346i −0.128209 0.991747i \(-0.540923\pi\)
0.903589 + 0.428401i \(0.140923\pi\)
\(758\) 1.00487e6i 1.74892i
\(759\) 241852. 116335.i 0.419822 0.201943i
\(760\) 566559. 0.980886
\(761\) −165158. 227320.i −0.285187 0.392527i 0.642256 0.766490i \(-0.277999\pi\)
−0.927443 + 0.373963i \(0.877999\pi\)
\(762\) −812887. 2.50181e6i −1.39998 4.30868i
\(763\) −105824. + 325693.i −0.181776 + 0.559448i
\(764\) −1.26763e6 920985.i −2.17172 1.57785i
\(765\) −37872.9 + 52127.6i −0.0647152 + 0.0890728i
\(766\) 289240. + 93979.9i 0.492948 + 0.160169i
\(767\) −197133. + 64052.3i −0.335095 + 0.108879i
\(768\) −1.45040e6 + 1.05378e6i −2.45904 + 1.78660i
\(769\) 427381.i 0.722708i −0.932429 0.361354i \(-0.882315\pi\)
0.932429 0.361354i \(-0.117685\pi\)
\(770\) 258786. + 47083.2i 0.436476 + 0.0794117i