Properties

Label 11.5.d.a.7.3
Level 11
Weight 5
Character 11.7
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 7.3
Root \(-5.08417i\)
Character \(\chi\) = 11.7
Dual form 11.5.d.a.8.3

$q$-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 \(\left(\mathbb{Z}/11\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{7}{10}\right)\)

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 0.119144 0.992877i \(-0.461985\pi\)
0.907464 0.420129i \(-0.138015\pi\)
\(3\) −4.15494 + 12.7876i −0.461660 + 1.42084i 0.401475 + 0.915870i \(0.368498\pi\)
−0.863135 + 0.504973i \(0.831502\pi\)
\(4\) −10.1383 31.2024i −0.633643 1.95015i
\(5\) −10.0543 + 7.30486i −0.402171 + 0.292194i −0.770425 0.637531i \(-0.779956\pi\)
0.368254 + 0.929725i \(0.379956\pi\)
\(6\) 55.2138 + 75.9952i 1.53372 + 2.11098i
\(7\) 23.8119 7.73696i 0.485958 0.157897i −0.0557829 0.998443i \(-0.517765\pi\)
0.541741 + 0.840546i \(0.317765\pi\)
\(8\) −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 −0.999230 0.0392250i \(-0.987511\pi\)
0.346084 + 0.938203i \(0.387511\pi\)
\(14\) 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 0.752905 0.658130i \(-0.228652\pi\)
−0.858579 + 0.512682i \(0.828652\pi\)
\(18\) −663.013 + 215.426i −2.04634 + 0.664895i
\(19\) 369.226 + 119.969i 1.02279 + 0.332323i 0.771934 0.635702i \(-0.219289\pi\)
0.250851 + 0.968026i \(0.419289\pi\)
\(20\) 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 0.0676290 0.997711i \(-0.478457\pi\)
0.641153 + 0.767413i \(0.278457\pi\)
\(30\) −1110.27 360.748i −1.23363 0.400831i
\(31\) −974.492 708.010i −1.01404 0.736743i −0.0489874 0.998799i \(-0.515599\pi\)
−0.965053 + 0.262056i \(0.915599\pi\)
\(32\) 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 0.997487 0.0708544i \(-0.0225726\pi\)
−0.848631 + 0.528986i \(0.822573\pi\)
\(38\) 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 −0.425519 0.904950i \(-0.639908\pi\)
−0.876168 + 0.482006i \(0.839908\pi\)
\(42\) 1902.72 + 1382.41i 1.07864 + 0.783677i
\(43\) 1744.86i 0.943677i 0.881685 + 0.471839i \(0.156410\pi\)
−0.881685 + 0.471839i \(0.843590\pi\)
\(44\) −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 −0.263748 0.964592i \(-0.584959\pi\)
0.780349 0.625344i \(-0.215041\pi\)
\(48\) −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 0.599106 0.800670i \(-0.295523\pi\)
−0.576348 + 0.817204i \(0.695523\pi\)
\(54\) 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 0.988020 0.154328i \(-0.0493212\pi\)
−0.890036 + 0.455890i \(0.849321\pi\)
\(60\) −4435.22 + 3222.38i −1.23201 + 0.895104i
\(61\) 137.227 + 188.877i 0.0368791 + 0.0507597i 0.827058 0.562116i \(-0.190013\pi\)
−0.790179 + 0.612876i \(0.790013\pi\)
\(62\) −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 −0.0487247 0.998812i \(-0.515516\pi\)
0.934870 + 0.354990i \(0.115516\pi\)
\(72\) 6887.39 + 9479.69i 1.32859 + 1.82864i
\(73\) 2979.95 968.246i 0.559196 0.181694i −0.0157636 0.999876i \(-0.505018\pi\)
0.574959 + 0.818182i \(0.305018\pi\)
\(74\) 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 −0.931255 0.364368i \(-0.881285\pi\)
0.634309 + 0.773080i \(0.281285\pi\)
\(80\) 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 0.987396 0.158272i \(-0.0505922\pi\)
−0.455647 + 0.890160i \(0.650592\pi\)
\(84\) 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 0.797692 0.603065i \(-0.206054\pi\)
−0.327048 + 0.945008i \(0.606054\pi\)
\(98\) 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 −0.996337 0.0855119i \(-0.972747\pi\)
0.389212 + 0.921148i \(0.372747\pi\)
\(102\) 1508.20 4641.76i 0.144964 0.446152i
\(103\) −1070.41 3294.38i −0.100896 0.310527i 0.887849 0.460135i \(-0.152199\pi\)
−0.988745 + 0.149608i \(0.952199\pi\)
\(104\) 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 −0.0519380 0.998650i \(-0.516540\pi\)
−0.629011 + 0.777397i \(0.716540\pi\)
\(108\) −6704.32 4870.97i −0.574787 0.417607i
\(109\) 13677.7i 1.15123i −0.817722 0.575613i \(-0.804763\pi\)
0.817722 0.575613i \(-0.195237\pi\)
\(110\) 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 −0.910366 0.413804i \(-0.864200\pi\)
0.979729 + 0.200325i \(0.0641999\pi\)
\(114\) 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 0.911824 + 0.410582i \(0.134674\pi\)
0.108718 + 0.994073i \(0.465326\pi\)
\(128\) −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 \(0.114768\pi\)
−0.935701 + 0.352793i \(0.885232\pi\)
\(132\) 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 −0.739850 + 0.672772i \(0.765103\pi\)
−0.868470 + 0.495741i \(0.834897\pi\)
\(138\) 9108.03 + 12536.1i 0.478263 + 0.658272i
\(139\) −3774.88 + 1226.53i −0.195377 + 0.0634819i −0.405071 0.914285i \(-0.632753\pi\)
0.209694 + 0.977767i \(0.432753\pi\)
\(140\) 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 0.842149 0.539245i \(-0.181290\pi\)
−0.773091 + 0.634295i \(0.781290\pi\)
\(150\) −42037.9 + 13659.0i −1.86835 + 0.607065i
\(151\) 20848.6 + 6774.10i 0.914370 + 0.297097i 0.728155 0.685412i \(-0.240378\pi\)
0.186215 + 0.982509i \(0.440378\pi\)
\(152\) −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 −0.786614 0.617445i \(-0.788168\pi\)
0.999309 0.0371634i \(-0.0118322\pi\)
\(158\) 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 −0.191832 0.981428i \(-0.561443\pi\)
−0.992673 + 0.120835i \(0.961443\pi\)
\(164\) 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 −0.578547 0.815649i \(-0.696380\pi\)
0.954509 + 0.298181i \(0.0963800\pi\)
\(168\) 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 0.619254 0.785191i \(-0.287435\pi\)
0.0394636 + 0.999221i \(0.487435\pi\)
\(174\) 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 −0.981512 0.191402i \(-0.938697\pi\)
0.906563 + 0.422071i \(0.138697\pi\)
\(180\) −12572.6 38694.6i −0.388045 1.19428i
\(181\) −4026.47 + 2925.40i −0.122904 + 0.0892952i −0.647539 0.762032i \(-0.724202\pi\)
0.524635 + 0.851327i \(0.324202\pi\)
\(182\) 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 −0.921274 0.388914i \(-0.872850\pi\)
0.516729 0.856149i \(-0.327150\pi\)
\(192\) 37343.3 27131.5i 1.01300 0.735988i
\(193\) 12311.9 + 16945.8i 0.330528 + 0.454933i 0.941645 0.336607i \(-0.109279\pi\)
−0.611117 + 0.791540i \(0.709279\pi\)
\(194\) 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 \(0.00802862\pi\)
−0.999682 + 0.0252200i \(0.991971\pi\)
\(198\) 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 −0.876074 0.482176i \(-0.839847\pi\)
0.729299 + 0.684196i \(0.239847\pi\)
\(212\) 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 −0.309559 0.950880i \(-0.600181\pi\)
0.809352 0.587324i \(-0.199819\pi\)
\(224\) 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 −0.358750 0.933434i \(-0.616797\pi\)
0.258424 + 0.966032i \(0.416797\pi\)
\(228\) 162876. + 52921.5i 3.13319 + 1.01803i
\(229\) 10375.1 + 7537.98i 0.197844 + 0.143742i 0.682297 0.731075i \(-0.260981\pi\)
−0.484453 + 0.874817i \(0.660981\pi\)
\(230\) 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 −0.988734 0.149686i \(-0.952174\pi\)
0.447896 + 0.894086i \(0.352174\pi\)
\(234\) 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 0.471074 0.882094i \(-0.343867\pi\)
−0.137375 + 0.990519i \(0.543867\pi\)
\(240\) 39940.2 + 29018.3i 0.693407 + 0.503790i
\(241\) 67743.9i 1.16637i −0.812340 0.583185i \(-0.801806\pi\)
0.812340 0.583185i \(-0.198194\pi\)
\(242\) −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 0.696760 0.717305i \(-0.254624\pi\)
−0.466887 + 0.884317i \(0.654624\pi\)
\(252\) 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 0.972866 + 0.231368i \(0.0743201\pi\)
−0.651071 + 0.759017i \(0.725680\pi\)
\(258\) −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 \(-0.776230\pi\)
0.762909 0.646506i \(-0.223770\pi\)
\(264\) −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 0.00185080 0.999998i \(-0.499411\pi\)
0.951627 + 0.307256i \(0.0994109\pi\)
\(270\) 12890.6 + 17742.4i 0.176826 + 0.243380i
\(271\) −1142.71 + 371.287i −0.0155595 + 0.00505559i −0.316786 0.948497i \(-0.602604\pi\)
0.301227 + 0.953552i \(0.402604\pi\)
\(272\) 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 −0.796328 0.604865i \(-0.793227\pi\)
0.821339 + 0.570440i \(0.193227\pi\)
\(278\) −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 0.951282 + 0.308322i \(0.0997673\pi\)
−0.000731006 1.00000i \(0.500233\pi\)
\(282\) 329916. 107196.i 4.14864 1.34797i
\(283\) −48541.1 15771.9i −0.606089 0.196930i −0.0101347 0.999949i \(-0.503226\pi\)
−0.595954 + 0.803018i \(0.703226\pi\)
\(284\) −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 −0.947767 0.318964i \(-0.896665\pi\)
−0.579277 + 0.815130i \(0.696665\pi\)
\(294\) −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 \(0.215848\pi\)
−0.778762 + 0.627320i \(0.784152\pi\)
\(308\) −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 0.549909 + 0.835225i \(0.314663\pi\)
−0.935818 + 0.352483i \(0.885337\pi\)
\(312\) 91624.2 + 281990.i 0.941241 + 2.89684i
\(313\) 128376. 93270.3i 1.31037 0.952039i 0.310370 0.950616i \(-0.399547\pi\)
0.999999 0.00142300i \(-0.000452956\pi\)
\(314\) −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 0.577148 0.816639i \(-0.304165\pi\)
−0.598322 + 0.801256i \(0.704165\pi\)
\(318\) 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 −0.0140424 0.999901i \(-0.504470\pi\)
0.576367 + 0.817191i \(0.304470\pi\)
\(338\) −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 0.580137 0.814519i \(-0.302999\pi\)
−0.953926 + 0.300043i \(0.902999\pi\)
\(348\) 262950. 85437.6i 2.17127 0.705489i
\(349\) 192023. + 62392.0i 1.57653 + 0.512246i 0.961160 0.275993i \(-0.0890066\pi\)
0.615370 + 0.788238i \(0.289007\pi\)
\(350\) 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 0.494366 0.869254i \(-0.335400\pi\)
0.910885 + 0.412660i \(0.135400\pi\)
\(360\) −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 0.892464 0.451118i \(-0.148975\pi\)
−0.987179 + 0.159615i \(0.948975\pi\)
\(368\) −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 \(0.161959\pi\)
−0.873325 + 0.487139i \(0.838041\pi\)
\(374\) −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 −0.913861 0.406027i \(-0.866914\pi\)
0.103756 + 0.994603i \(0.466914\pi\)
\(380\) 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 0.701321 0.712845i \(-0.252594\pi\)
−0.461236 + 0.887278i \(0.652594\pi\)
\(384\) 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 0.828020 0.560699i \(-0.189467\pi\)
−0.999453 + 0.0330828i \(0.989467\pi\)
\(390\) 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 −0.707594 0.706619i \(-0.750220\pi\)
0.453376 + 0.891319i \(0.350220\pi\)
\(402\) 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 −0.110045 0.993927i \(-0.535099\pi\)
0.979286 0.202482i \(-0.0649006\pi\)
\(410\) 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 0.0156269 0.999878i \(-0.495026\pi\)
0.575071 0.818103i \(-0.304974\pi\)
\(422\) 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 0.0878574 0.996133i \(-0.471998\pi\)
0.920229 0.391379i \(-0.128002\pi\)
\(432\) −23060.8 + 70974.0i −0.123568 + 0.380305i
\(433\) 94321.8 + 290293.i 0.503079 + 1.54832i 0.803976 + 0.594662i \(0.202714\pi\)
−0.300897 + 0.953657i \(0.597286\pi\)
\(434\) −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 \(0.0912857\pi\)
−0.959159 + 0.282868i \(0.908714\pi\)
\(440\) −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 −0.875872 0.482544i \(-0.839713\pi\)
0.992227 + 0.124438i \(0.0397128\pi\)
\(444\) 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 0.430091 0.902786i \(-0.358482\pi\)
−0.725695 + 0.688017i \(0.758482\pi\)
\(450\) 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 0.938878 + 0.344249i \(0.111867\pi\)
0.0372711 + 0.999305i \(0.488133\pi\)
\(458\) 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 \(-0.965584\pi\)
0.994161 0.107909i \(-0.0344156\pi\)
\(462\) 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 −0.596403 0.802685i \(-0.703404\pi\)
0.579100 + 0.815256i \(0.303404\pi\)
\(468\) −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 −0.986843 0.161680i \(-0.948309\pi\)
0.151184 0.988506i \(-0.451691\pi\)
\(480\) 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 −0.936084 0.351775i \(-0.885578\pi\)
0.964077 + 0.265624i \(0.0855781\pi\)
\(488\) −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 −0.0977415 0.995212i \(-0.531162\pi\)
0.505896 + 0.862594i \(0.331162\pi\)
\(492\) −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 0.998292 0.0584271i \(-0.0186085\pi\)
−0.841978 + 0.539513i \(0.818609\pi\)
\(500\) −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 −0.0701146 0.997539i \(-0.522337\pi\)
−0.643063 + 0.765814i \(0.722337\pi\)
\(504\) 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 0.778598 + 0.627523i \(0.215931\pi\)
−0.998748 + 0.0500282i \(0.984069\pi\)
\(510\) 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 −0.950395 0.311047i \(-0.899320\pi\)
0.586057 0.810270i \(-0.300680\pi\)
\(522\) −353488. + 256824.i −1.29728 + 0.942530i
\(523\) −23706.2 32628.8i −0.0866681 0.119288i 0.763481 0.645830i \(-0.223488\pi\)
−0.850149 + 0.526542i \(0.823488\pi\)
\(524\) 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 0.257344 + 0.966320i \(0.417153\pi\)
−0.998548 + 0.0538605i \(0.982847\pi\)
\(542\) −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 0.956054 0.293191i \(-0.0947171\pi\)
0.601131 + 0.799151i \(0.294717\pi\)
\(548\) 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 −0.913614 0.406583i \(-0.866720\pi\)
−0.500146 + 0.865941i \(0.666720\pi\)
\(558\) 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 0.203642 + 0.979045i \(0.434722\pi\)
−0.994056 + 0.108867i \(0.965278\pi\)
\(564\) 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 −0.532117 0.846671i \(-0.678603\pi\)
−0.928152 + 0.372201i \(0.878603\pi\)
\(570\) −366661. 266395.i −1.12854 0.819929i
\(571\) 310454.i 0.952192i 0.879393 + 0.476096i \(0.157948\pi\)
−0.879393 + 0.476096i \(0.842052\pi\)
\(572\) 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 −0.754449 0.656359i \(-0.772096\pi\)
0.391096 + 0.920350i \(0.372096\pi\)
\(578\) −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 0.994617 0.103618i \(-0.0330420\pi\)
−0.865567 + 0.500793i \(0.833042\pi\)
\(588\) −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 \(-0.883460\pi\)
0.933723 0.357996i \(-0.116540\pi\)
\(594\) −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 −0.472303 0.881436i \(-0.656577\pi\)
0.692346 + 0.721566i \(0.256577\pi\)
\(600\) 436691. + 601054.i 1.21303 + 1.66959i
\(601\) 579164. 188182.i 1.60344 0.520989i 0.635485 0.772113i \(-0.280800\pi\)
0.967955 + 0.251124i \(0.0808003\pi\)
\(602\) 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 −0.622851 0.782341i \(-0.714026\pi\)
0.936522 + 0.350609i \(0.114026\pi\)
\(608\) −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 0.0707104 0.997497i \(-0.477473\pi\)
−0.529108 + 0.848554i \(0.677473\pi\)
\(614\) 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 −0.754147 0.656706i \(-0.771949\pi\)
0.996120 0.0880101i \(-0.0280508\pi\)
\(620\) −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 0.903313 0.428982i \(-0.141128\pi\)
−0.982945 + 0.183900i \(0.941128\pi\)
\(632\) 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 0.335082 + 0.942189i \(0.391236\pi\)
−0.824892 + 0.565291i \(0.808764\pi\)
\(642\) −237950. 732336.i −0.577320 1.77681i
\(643\) −192555. + 139900.i −0.465730 + 0.338372i −0.795775 0.605593i \(-0.792936\pi\)
0.330045 + 0.943965i \(0.392936\pi\)
\(644\) −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 0.662082 0.749432i \(-0.269673\pi\)
−0.508157 + 0.861264i \(0.669673\pi\)
\(648\) 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 0.940063 + 0.341001i \(0.110766\pi\)
−0.560092 + 0.828431i \(0.689234\pi\)
\(654\) 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 \(0.0130072\pi\)
−0.999165 + 0.0408519i \(0.986993\pi\)
\(660\) 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 −0.799620 0.600507i \(-0.794966\pi\)
0.818212 + 0.574917i \(0.194966\pi\)
\(674\) 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 0.418773 0.908091i \(-0.362460\pi\)
−0.993054 + 0.117662i \(0.962460\pi\)
\(678\) 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 −0.133142 0.991097i \(-0.542507\pi\)
−0.983732 + 0.179640i \(0.942507\pi\)
\(692\) 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 0.871610 0.490200i \(-0.163076\pi\)
0.417015 + 0.908900i \(0.363076\pi\)
\(702\) 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 −0.995780 0.0917725i \(-0.970747\pi\)
−0.220432 + 0.975402i \(0.570747\pi\)
\(710\) 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 −0.961172 0.275950i \(-0.911008\pi\)
0.615405 0.788211i \(-0.288992\pi\)
\(720\) −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 −0.947213 0.320606i \(-0.896113\pi\)
−0.577863 + 0.816134i \(0.696113\pi\)
\(734\) −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 0.162828 0.986655i \(-0.447939\pi\)
0.888048 0.459751i \(-0.152061\pi\)
\(740\) −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 0.997549 + 0.0699776i \(0.0222928\pi\)
−0.241707 + 0.970349i \(0.577707\pi\)
\(744\) −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 −0.635672 0.771960i \(-0.719277\pi\)
0.968016 0.250890i \(-0.0807233\pi\)
\(752\) 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 0.903589 0.428401i \(-0.140923\pi\)
−0.128209 + 0.991747i \(0.540923\pi\)
\(758\) 1.00487e6i 1.74892i
\(759\) 241852. + 116335.i 0.419822 + 0.201943i
\(760\) 566559. 0.980886
\(761\) −165158. + 227320.i −0.285187 + 0.392527i −0.927443 0.373963i \(-0.877999\pi\)
0.642256 + 0.766490i \(0.277999\pi\)
\(762\) −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 \(0.117685\pi\)
−0.932429 + 0.361354i \(0.882315\pi\)
\(770\) 258786. 47083.2i 0.436476 0.0794117i