Properties

Label 105.4.s.a.26.15
Level $105$
Weight $4$
Character 105.26
Analytic conductor $6.195$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 105.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.19520055060\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 26.15
Character \(\chi\) \(=\) 105.26
Dual form 105.4.s.a.101.15

$q$-expansion

\(f(q)\) \(=\) \(q+(3.95258 + 2.28202i) q^{2} +(3.88244 + 3.45350i) q^{3} +(6.41528 + 11.1116i) q^{4} +(-2.50000 + 4.33013i) q^{5} +(7.46472 + 22.5101i) q^{6} +(-15.3726 - 10.3287i) q^{7} +22.0469i q^{8} +(3.14674 + 26.8160i) q^{9} +O(q^{10})\) \(q+(3.95258 + 2.28202i) q^{2} +(3.88244 + 3.45350i) q^{3} +(6.41528 + 11.1116i) q^{4} +(-2.50000 + 4.33013i) q^{5} +(7.46472 + 22.5101i) q^{6} +(-15.3726 - 10.3287i) q^{7} +22.0469i q^{8} +(3.14674 + 26.8160i) q^{9} +(-19.7629 + 11.4101i) q^{10} +(38.8392 - 22.4238i) q^{11} +(-13.4669 + 65.2952i) q^{12} -21.9561i q^{13} +(-37.1911 - 75.9059i) q^{14} +(-24.6602 + 8.17773i) q^{15} +(1.01069 - 1.75057i) q^{16} +(-18.3222 - 31.7351i) q^{17} +(-48.7571 + 113.173i) q^{18} +(91.7755 + 52.9866i) q^{19} -64.1528 q^{20} +(-24.0130 - 93.1900i) q^{21} +204.687 q^{22} +(-21.5307 - 12.4308i) q^{23} +(-76.1388 + 85.5957i) q^{24} +(-12.5000 - 21.6506i) q^{25} +(50.1044 - 86.7834i) q^{26} +(-80.3919 + 114.979i) q^{27} +(16.1491 - 237.076i) q^{28} +31.6068i q^{29} +(-116.133 - 23.9520i) q^{30} +(-262.288 + 151.432i) q^{31} +(160.735 - 92.8003i) q^{32} +(228.232 + 47.0718i) q^{33} -167.247i q^{34} +(83.1563 - 40.7435i) q^{35} +(-277.781 + 206.997i) q^{36} +(130.913 - 226.748i) q^{37} +(241.834 + 418.868i) q^{38} +(75.8254 - 85.2434i) q^{39} +(-95.4658 - 55.1172i) q^{40} -294.707 q^{41} +(117.748 - 423.140i) q^{42} -302.029 q^{43} +(498.329 + 287.710i) q^{44} +(-123.984 - 53.4142i) q^{45} +(-56.7346 - 98.2673i) q^{46} +(59.6172 - 103.260i) q^{47} +(9.96952 - 3.30606i) q^{48} +(129.634 + 317.559i) q^{49} -114.101i q^{50} +(38.4618 - 186.485i) q^{51} +(243.967 - 140.855i) q^{52} +(560.586 - 323.654i) q^{53} +(-580.140 + 271.007i) q^{54} +224.238i q^{55} +(227.716 - 338.918i) q^{56} +(173.324 + 522.664i) q^{57} +(-72.1275 + 124.928i) q^{58} +(3.12046 + 5.40479i) q^{59} +(-249.069 - 221.551i) q^{60} +(-702.683 - 405.694i) q^{61} -1382.29 q^{62} +(228.602 - 444.734i) q^{63} +830.920 q^{64} +(95.0728 + 54.8903i) q^{65} +(794.686 + 706.886i) q^{66} +(13.4336 + 23.2677i) q^{67} +(235.085 - 407.178i) q^{68} +(-40.6622 - 122.618i) q^{69} +(421.660 + 28.7226i) q^{70} -639.735i q^{71} +(-591.209 + 69.3757i) q^{72} +(-619.765 + 357.821i) q^{73} +(1034.89 - 597.493i) q^{74} +(26.2398 - 127.226i) q^{75} +1359.69i q^{76} +(-828.671 - 56.4473i) q^{77} +(494.234 - 163.896i) q^{78} +(-312.723 + 541.652i) q^{79} +(5.05345 + 8.75283i) q^{80} +(-709.196 + 168.766i) q^{81} +(-1164.85 - 672.529i) q^{82} +630.475 q^{83} +(881.438 - 864.662i) q^{84} +183.222 q^{85} +(-1193.80 - 689.239i) q^{86} +(-109.154 + 122.712i) q^{87} +(494.376 + 856.284i) q^{88} +(-350.854 + 607.698i) q^{89} +(-368.163 - 494.058i) q^{90} +(-226.779 + 337.523i) q^{91} -318.987i q^{92} +(-1541.29 - 317.884i) q^{93} +(471.284 - 272.096i) q^{94} +(-458.878 + 264.933i) q^{95} +(944.530 + 194.805i) q^{96} +528.346i q^{97} +(-212.288 + 1551.01i) q^{98} +(723.535 + 970.951i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + O(q^{10}) \) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + 36q^{11} + 246q^{12} + 18q^{14} + 20q^{15} - 376q^{16} - 72q^{17} - 442q^{18} - 198q^{19} - 640q^{20} - 218q^{21} + 204q^{22} + 72q^{23} - 50q^{24} - 400q^{25} - 312q^{26} + 508q^{27} + 350q^{28} + 40q^{30} + 510q^{31} + 810q^{32} + 290q^{33} - 70q^{35} - 612q^{36} - 658q^{37} - 192q^{38} - 648q^{39} - 1404q^{41} + 1892q^{42} + 332q^{43} + 2034q^{44} - 490q^{45} - 468q^{46} + 408q^{47} + 2810q^{48} + 980q^{49} - 888q^{51} + 3378q^{52} + 1152q^{53} + 2714q^{54} - 3354q^{56} - 816q^{57} - 1080q^{58} - 48q^{59} - 420q^{60} - 1662q^{61} - 2076q^{62} + 874q^{63} - 1952q^{64} + 870q^{65} - 1892q^{66} - 1298q^{67} + 1182q^{68} + 2450q^{69} - 450q^{70} - 2708q^{72} + 378q^{73} + 2898q^{74} - 50q^{75} - 3528q^{77} - 1896q^{78} - 326q^{79} - 1880q^{80} - 3308q^{81} - 2916q^{82} - 1536q^{83} + 1380q^{84} + 720q^{85} + 5202q^{86} - 1090q^{87} + 1668q^{88} - 1590q^{89} + 910q^{90} + 2082q^{91} - 4950q^{93} - 1152q^{94} + 990q^{95} + 7416q^{96} - 7830q^{98} + 3128q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.95258 + 2.28202i 1.39745 + 0.806818i 0.994125 0.108239i \(-0.0345213\pi\)
0.403324 + 0.915057i \(0.367855\pi\)
\(3\) 3.88244 + 3.45350i 0.747177 + 0.664626i
\(4\) 6.41528 + 11.1116i 0.801909 + 1.38895i
\(5\) −2.50000 + 4.33013i −0.223607 + 0.387298i
\(6\) 7.46472 + 22.5101i 0.507910 + 1.53162i
\(7\) −15.3726 10.3287i −0.830043 0.557699i
\(8\) 22.0469i 0.974343i
\(9\) 3.14674 + 26.8160i 0.116546 + 0.993185i
\(10\) −19.7629 + 11.4101i −0.624958 + 0.360820i
\(11\) 38.8392 22.4238i 1.06459 0.614640i 0.137890 0.990447i \(-0.455968\pi\)
0.926698 + 0.375807i \(0.122634\pi\)
\(12\) −13.4669 + 65.2952i −0.323962 + 1.57076i
\(13\) 21.9561i 0.468426i −0.972185 0.234213i \(-0.924749\pi\)
0.972185 0.234213i \(-0.0752513\pi\)
\(14\) −37.1911 75.9059i −0.709981 1.44905i
\(15\) −24.6602 + 8.17773i −0.424482 + 0.140765i
\(16\) 1.01069 1.75057i 0.0157920 0.0273526i
\(17\) −18.3222 31.7351i −0.261400 0.452758i 0.705214 0.708994i \(-0.250851\pi\)
−0.966614 + 0.256236i \(0.917517\pi\)
\(18\) −48.7571 + 113.173i −0.638453 + 1.48196i
\(19\) 91.7755 + 52.9866i 1.10814 + 0.639788i 0.938348 0.345692i \(-0.112356\pi\)
0.169796 + 0.985479i \(0.445689\pi\)
\(20\) −64.1528 −0.717250
\(21\) −24.0130 93.1900i −0.249527 0.968368i
\(22\) 204.687 1.98361
\(23\) −21.5307 12.4308i −0.195194 0.112695i 0.399218 0.916856i \(-0.369282\pi\)
−0.594412 + 0.804161i \(0.702615\pi\)
\(24\) −76.1388 + 85.5957i −0.647573 + 0.728007i
\(25\) −12.5000 21.6506i −0.100000 0.173205i
\(26\) 50.1044 86.7834i 0.377934 0.654601i
\(27\) −80.3919 + 114.979i −0.573016 + 0.819544i
\(28\) 16.1491 237.076i 0.108996 1.60011i
\(29\) 31.6068i 0.202387i 0.994867 + 0.101194i \(0.0322662\pi\)
−0.994867 + 0.101194i \(0.967734\pi\)
\(30\) −116.133 23.9520i −0.706764 0.145767i
\(31\) −262.288 + 151.432i −1.51962 + 0.877356i −0.519892 + 0.854232i \(0.674028\pi\)
−0.999733 + 0.0231240i \(0.992639\pi\)
\(32\) 160.735 92.8003i 0.887943 0.512654i
\(33\) 228.232 + 47.0718i 1.20394 + 0.248308i
\(34\) 167.247i 0.843608i
\(35\) 83.1563 40.7435i 0.401599 0.196769i
\(36\) −277.781 + 206.997i −1.28602 + 0.958321i
\(37\) 130.913 226.748i 0.581674 1.00749i −0.413607 0.910456i \(-0.635731\pi\)
0.995281 0.0970336i \(-0.0309354\pi\)
\(38\) 241.834 + 418.868i 1.03238 + 1.78814i
\(39\) 75.8254 85.2434i 0.311328 0.349997i
\(40\) −95.4658 55.1172i −0.377362 0.217870i
\(41\) −294.707 −1.12257 −0.561287 0.827621i \(-0.689693\pi\)
−0.561287 + 0.827621i \(0.689693\pi\)
\(42\) 117.748 423.140i 0.432594 1.55457i
\(43\) −302.029 −1.07114 −0.535570 0.844491i \(-0.679903\pi\)
−0.535570 + 0.844491i \(0.679903\pi\)
\(44\) 498.329 + 287.710i 1.70741 + 0.985772i
\(45\) −123.984 53.4142i −0.410719 0.176945i
\(46\) −56.7346 98.2673i −0.181849 0.314972i
\(47\) 59.6172 103.260i 0.185023 0.320468i −0.758562 0.651601i \(-0.774098\pi\)
0.943584 + 0.331133i \(0.107431\pi\)
\(48\) 9.96952 3.30606i 0.0299787 0.00994143i
\(49\) 129.634 + 317.559i 0.377943 + 0.925829i
\(50\) 114.101i 0.322727i
\(51\) 38.4618 186.485i 0.105603 0.512023i
\(52\) 243.967 140.855i 0.650619 0.375635i
\(53\) 560.586 323.654i 1.45287 0.838818i 0.454231 0.890884i \(-0.349914\pi\)
0.998644 + 0.0520662i \(0.0165807\pi\)
\(54\) −580.140 + 271.007i −1.46198 + 0.682952i
\(55\) 224.238i 0.549751i
\(56\) 227.716 338.918i 0.543391 0.808747i
\(57\) 173.324 + 522.664i 0.402761 + 1.21454i
\(58\) −72.1275 + 124.928i −0.163290 + 0.282826i
\(59\) 3.12046 + 5.40479i 0.00688557 + 0.0119262i 0.869448 0.494025i \(-0.164475\pi\)
−0.862562 + 0.505951i \(0.831142\pi\)
\(60\) −249.069 221.551i −0.535912 0.476702i
\(61\) −702.683 405.694i −1.47491 0.851538i −0.475308 0.879820i \(-0.657663\pi\)
−0.999600 + 0.0282811i \(0.990997\pi\)
\(62\) −1382.29 −2.83146
\(63\) 228.602 444.734i 0.457161 0.889384i
\(64\) 830.920 1.62289
\(65\) 95.0728 + 54.8903i 0.181420 + 0.104743i
\(66\) 794.686 + 706.886i 1.48211 + 1.31836i
\(67\) 13.4336 + 23.2677i 0.0244952 + 0.0424269i 0.878013 0.478637i \(-0.158869\pi\)
−0.853518 + 0.521063i \(0.825536\pi\)
\(68\) 235.085 407.178i 0.419238 0.726142i
\(69\) −40.6622 122.618i −0.0709443 0.213934i
\(70\) 421.660 + 28.7226i 0.719971 + 0.0490430i
\(71\) 639.735i 1.06933i −0.845064 0.534666i \(-0.820437\pi\)
0.845064 0.534666i \(-0.179563\pi\)
\(72\) −591.209 + 69.3757i −0.967703 + 0.113556i
\(73\) −619.765 + 357.821i −0.993671 + 0.573696i −0.906370 0.422486i \(-0.861158\pi\)
−0.0873014 + 0.996182i \(0.527824\pi\)
\(74\) 1034.89 597.493i 1.62572 0.938610i
\(75\) 26.2398 127.226i 0.0403989 0.195877i
\(76\) 1359.69i 2.05221i
\(77\) −828.671 56.4473i −1.22644 0.0835425i
\(78\) 494.234 163.896i 0.717448 0.237918i
\(79\) −312.723 + 541.652i −0.445368 + 0.771401i −0.998078 0.0619733i \(-0.980261\pi\)
0.552709 + 0.833374i \(0.313594\pi\)
\(80\) 5.05345 + 8.75283i 0.00706241 + 0.0122324i
\(81\) −709.196 + 168.766i −0.972834 + 0.231503i
\(82\) −1164.85 672.529i −1.56874 0.905712i
\(83\) 630.475 0.833778 0.416889 0.908957i \(-0.363120\pi\)
0.416889 + 0.908957i \(0.363120\pi\)
\(84\) 881.438 864.662i 1.14491 1.12312i
\(85\) 183.222 0.233803
\(86\) −1193.80 689.239i −1.49686 0.864215i
\(87\) −109.154 + 122.712i −0.134512 + 0.151219i
\(88\) 494.376 + 856.284i 0.598871 + 1.03727i
\(89\) −350.854 + 607.698i −0.417871 + 0.723773i −0.995725 0.0923667i \(-0.970557\pi\)
0.577854 + 0.816140i \(0.303890\pi\)
\(90\) −368.163 494.058i −0.431197 0.578647i
\(91\) −226.779 + 337.523i −0.261241 + 0.388813i
\(92\) 318.987i 0.361486i
\(93\) −1541.29 317.884i −1.71854 0.354442i
\(94\) 471.284 272.096i 0.517119 0.298559i
\(95\) −458.878 + 264.933i −0.495577 + 0.286122i
\(96\) 944.530 + 194.805i 1.00417 + 0.207106i
\(97\) 528.346i 0.553046i 0.961007 + 0.276523i \(0.0891822\pi\)
−0.961007 + 0.276523i \(0.910818\pi\)
\(98\) −212.288 + 1551.01i −0.218820 + 1.59873i
\(99\) 723.535 + 970.951i 0.734525 + 0.985700i
\(100\) 160.382 277.790i 0.160382 0.277790i
\(101\) 862.493 + 1493.88i 0.849716 + 1.47175i 0.881462 + 0.472255i \(0.156560\pi\)
−0.0317464 + 0.999496i \(0.510107\pi\)
\(102\) 577.588 649.328i 0.560684 0.630324i
\(103\) −337.686 194.963i −0.323041 0.186508i 0.329706 0.944083i \(-0.393050\pi\)
−0.652747 + 0.757576i \(0.726384\pi\)
\(104\) 484.064 0.456407
\(105\) 463.557 + 128.995i 0.430843 + 0.119892i
\(106\) 2954.35 2.70709
\(107\) 271.579 + 156.796i 0.245369 + 0.141664i 0.617642 0.786459i \(-0.288088\pi\)
−0.372273 + 0.928123i \(0.621421\pi\)
\(108\) −1793.33 155.661i −1.59781 0.138689i
\(109\) 395.429 + 684.903i 0.347479 + 0.601852i 0.985801 0.167918i \(-0.0537044\pi\)
−0.638322 + 0.769770i \(0.720371\pi\)
\(110\) −511.718 + 886.321i −0.443549 + 0.768249i
\(111\) 1291.33 428.228i 1.10422 0.366177i
\(112\) −33.6181 + 16.4716i −0.0283626 + 0.0138966i
\(113\) 2390.56i 1.99014i 0.0991983 + 0.995068i \(0.468372\pi\)
−0.0991983 + 0.995068i \(0.531628\pi\)
\(114\) −507.654 + 2461.40i −0.417071 + 2.02221i
\(115\) 107.654 62.1538i 0.0872935 0.0503989i
\(116\) −351.201 + 202.766i −0.281105 + 0.162296i
\(117\) 588.776 69.0901i 0.465234 0.0545930i
\(118\) 28.4838i 0.0222216i
\(119\) −46.1224 + 677.097i −0.0355297 + 0.521591i
\(120\) −180.293 543.680i −0.137154 0.413591i
\(121\) 340.158 589.170i 0.255566 0.442652i
\(122\) −1851.61 3207.08i −1.37407 2.37996i
\(123\) −1144.18 1017.77i −0.838760 0.746091i
\(124\) −3365.30 1942.96i −2.43720 1.40712i
\(125\) 125.000 0.0894427
\(126\) 1918.46 1236.17i 1.35643 0.874023i
\(127\) −2416.95 −1.68874 −0.844369 0.535762i \(-0.820024\pi\)
−0.844369 + 0.535762i \(0.820024\pi\)
\(128\) 1998.40 + 1153.78i 1.37996 + 0.796722i
\(129\) −1172.61 1043.06i −0.800331 0.711907i
\(130\) 250.522 + 433.917i 0.169017 + 0.292747i
\(131\) 718.896 1245.16i 0.479467 0.830462i −0.520255 0.854011i \(-0.674163\pi\)
0.999723 + 0.0235490i \(0.00749658\pi\)
\(132\) 941.127 + 2838.00i 0.620565 + 1.87133i
\(133\) −863.544 1762.47i −0.562998 1.14906i
\(134\) 122.623i 0.0790525i
\(135\) −296.893 635.554i −0.189278 0.405184i
\(136\) 699.659 403.948i 0.441142 0.254693i
\(137\) 1162.71 671.288i 0.725085 0.418628i −0.0915363 0.995802i \(-0.529178\pi\)
0.816621 + 0.577174i \(0.195844\pi\)
\(138\) 119.097 577.450i 0.0734650 0.356201i
\(139\) 644.525i 0.393294i 0.980474 + 0.196647i \(0.0630053\pi\)
−0.980474 + 0.196647i \(0.936995\pi\)
\(140\) 986.195 + 662.617i 0.595348 + 0.400010i
\(141\) 588.068 195.013i 0.351236 0.116476i
\(142\) 1459.89 2528.61i 0.862756 1.49434i
\(143\) −492.341 852.759i −0.287913 0.498681i
\(144\) 50.1235 + 21.5941i 0.0290067 + 0.0124966i
\(145\) −136.861 79.0170i −0.0783843 0.0452552i
\(146\) −3266.23 −1.85147
\(147\) −593.392 + 1680.60i −0.332940 + 0.942948i
\(148\) 3359.37 1.86580
\(149\) −1048.47 605.332i −0.576467 0.332823i 0.183261 0.983064i \(-0.441335\pi\)
−0.759728 + 0.650241i \(0.774668\pi\)
\(150\) 394.048 442.992i 0.214493 0.241134i
\(151\) −276.105 478.227i −0.148802 0.257732i 0.781983 0.623300i \(-0.214208\pi\)
−0.930785 + 0.365567i \(0.880875\pi\)
\(152\) −1168.19 + 2023.36i −0.623373 + 1.07971i
\(153\) 793.352 591.191i 0.419207 0.312386i
\(154\) −3146.57 2114.16i −1.64648 1.10626i
\(155\) 1514.32i 0.784731i
\(156\) 1433.63 + 295.680i 0.735784 + 0.151752i
\(157\) 1891.12 1091.84i 0.961326 0.555022i 0.0647452 0.997902i \(-0.479377\pi\)
0.896581 + 0.442880i \(0.146043\pi\)
\(158\) −2472.13 + 1427.28i −1.24476 + 0.718662i
\(159\) 3294.18 + 679.411i 1.64305 + 0.338873i
\(160\) 928.003i 0.458532i
\(161\) 202.589 + 413.479i 0.0991694 + 0.202402i
\(162\) −3188.28 951.343i −1.54627 0.461386i
\(163\) 1805.11 3126.55i 0.867407 1.50239i 0.00277017 0.999996i \(-0.499118\pi\)
0.864637 0.502397i \(-0.167548\pi\)
\(164\) −1890.63 3274.66i −0.900202 1.55920i
\(165\) −774.407 + 870.593i −0.365379 + 0.410761i
\(166\) 2492.00 + 1438.76i 1.16516 + 0.672707i
\(167\) 1747.33 0.809657 0.404829 0.914393i \(-0.367331\pi\)
0.404829 + 0.914393i \(0.367331\pi\)
\(168\) 2054.55 529.412i 0.943523 0.243125i
\(169\) 1714.93 0.780577
\(170\) 724.202 + 418.118i 0.326728 + 0.188637i
\(171\) −1132.10 + 2627.79i −0.506278 + 1.17516i
\(172\) −1937.60 3356.02i −0.858958 1.48776i
\(173\) 1752.80 3035.94i 0.770306 1.33421i −0.167089 0.985942i \(-0.553437\pi\)
0.937395 0.348268i \(-0.113230\pi\)
\(174\) −711.471 + 235.936i −0.309980 + 0.102794i
\(175\) −31.4661 + 461.936i −0.0135921 + 0.199538i
\(176\) 90.6542i 0.0388257i
\(177\) −6.55042 + 31.7603i −0.00278169 + 0.0134873i
\(178\) −2773.56 + 1601.32i −1.16791 + 0.674291i
\(179\) −1735.08 + 1001.75i −0.724502 + 0.418291i −0.816407 0.577477i \(-0.804037\pi\)
0.0919057 + 0.995768i \(0.470704\pi\)
\(180\) −201.872 1720.32i −0.0835924 0.712362i
\(181\) 1090.28i 0.447734i 0.974620 + 0.223867i \(0.0718682\pi\)
−0.974620 + 0.223867i \(0.928132\pi\)
\(182\) −1666.60 + 816.572i −0.678772 + 0.332573i
\(183\) −1327.06 4001.80i −0.536062 1.61651i
\(184\) 274.060 474.685i 0.109804 0.190186i
\(185\) 654.564 + 1133.74i 0.260133 + 0.450563i
\(186\) −5366.66 4773.73i −2.11560 1.88186i
\(187\) −1423.24 821.711i −0.556567 0.321334i
\(188\) 1529.84 0.593485
\(189\) 2423.42 937.178i 0.932687 0.360686i
\(190\) −2418.34 −0.923392
\(191\) −943.845 544.929i −0.357561 0.206438i 0.310449 0.950590i \(-0.399521\pi\)
−0.668011 + 0.744152i \(0.732854\pi\)
\(192\) 3226.00 + 2869.58i 1.21259 + 1.07861i
\(193\) 2473.45 + 4284.14i 0.922502 + 1.59782i 0.795530 + 0.605915i \(0.207193\pi\)
0.126973 + 0.991906i \(0.459474\pi\)
\(194\) −1205.70 + 2088.33i −0.446207 + 0.772854i
\(195\) 179.551 + 541.442i 0.0659382 + 0.198838i
\(196\) −2696.95 + 3477.67i −0.982853 + 1.26737i
\(197\) 3296.31i 1.19215i 0.802930 + 0.596073i \(0.203273\pi\)
−0.802930 + 0.596073i \(0.796727\pi\)
\(198\) 644.096 + 5488.89i 0.231181 + 1.97009i
\(199\) −680.689 + 392.996i −0.242476 + 0.139994i −0.616314 0.787500i \(-0.711375\pi\)
0.373838 + 0.927494i \(0.378042\pi\)
\(200\) 477.329 275.586i 0.168761 0.0974343i
\(201\) −28.1996 + 136.728i −0.00989577 + 0.0479805i
\(202\) 7872.92i 2.74226i
\(203\) 326.458 485.879i 0.112871 0.167990i
\(204\) 2318.89 768.984i 0.795857 0.263920i
\(205\) 736.768 1276.12i 0.251015 0.434771i
\(206\) −889.821 1541.22i −0.300955 0.521270i
\(207\) 265.592 616.484i 0.0891784 0.206998i
\(208\) −38.4356 22.1908i −0.0128127 0.00739739i
\(209\) 4752.65 1.57296
\(210\) 1537.88 + 1567.71i 0.505350 + 0.515155i
\(211\) −117.042 −0.0381872 −0.0190936 0.999818i \(-0.506078\pi\)
−0.0190936 + 0.999818i \(0.506078\pi\)
\(212\) 7192.62 + 4152.66i 2.33015 + 1.34531i
\(213\) 2209.32 2483.73i 0.710705 0.798980i
\(214\) 715.625 + 1239.50i 0.228594 + 0.395936i
\(215\) 755.073 1307.83i 0.239514 0.414851i
\(216\) −2534.92 1772.39i −0.798517 0.558314i
\(217\) 5596.16 + 381.199i 1.75065 + 0.119251i
\(218\) 3609.52i 1.12141i
\(219\) −3641.94 751.134i −1.12374 0.231767i
\(220\) −2491.64 + 1438.55i −0.763576 + 0.440851i
\(221\) −696.779 + 402.286i −0.212083 + 0.122446i
\(222\) 6081.33 + 1254.25i 1.83852 + 0.379188i
\(223\) 3582.58i 1.07582i −0.843003 0.537908i \(-0.819215\pi\)
0.843003 0.537908i \(-0.180785\pi\)
\(224\) −3429.43 233.605i −1.02294 0.0696804i
\(225\) 541.249 403.329i 0.160370 0.119505i
\(226\) −5455.33 + 9448.90i −1.60568 + 2.78111i
\(227\) −635.352 1100.46i −0.185770 0.321763i 0.758066 0.652178i \(-0.226145\pi\)
−0.943836 + 0.330415i \(0.892811\pi\)
\(228\) −4695.70 + 5278.94i −1.36395 + 1.53336i
\(229\) 2500.75 + 1443.81i 0.721633 + 0.416635i 0.815353 0.578964i \(-0.196543\pi\)
−0.0937206 + 0.995599i \(0.529876\pi\)
\(230\) 567.346 0.162651
\(231\) −3022.33 3080.96i −0.860842 0.877543i
\(232\) −696.831 −0.197195
\(233\) −1421.01 820.421i −0.399543 0.230676i 0.286744 0.958007i \(-0.407427\pi\)
−0.686287 + 0.727331i \(0.740760\pi\)
\(234\) 2484.85 + 1070.52i 0.694187 + 0.299068i
\(235\) 298.086 + 516.300i 0.0827446 + 0.143318i
\(236\) −40.0372 + 69.3464i −0.0110432 + 0.0191274i
\(237\) −3084.72 + 1022.95i −0.845462 + 0.280369i
\(238\) −1727.45 + 2571.03i −0.470480 + 0.700231i
\(239\) 3084.64i 0.834849i 0.908712 + 0.417424i \(0.137067\pi\)
−0.908712 + 0.417424i \(0.862933\pi\)
\(240\) −10.6081 + 51.4344i −0.00285313 + 0.0138337i
\(241\) 493.799 285.095i 0.131985 0.0762015i −0.432554 0.901608i \(-0.642387\pi\)
0.564539 + 0.825407i \(0.309054\pi\)
\(242\) 2689.00 1552.50i 0.714280 0.412390i
\(243\) −3336.25 1793.98i −0.880742 0.473597i
\(244\) 10410.6i 2.73143i
\(245\) −1699.16 232.565i −0.443083 0.0606452i
\(246\) −2199.90 6633.87i −0.570166 1.71935i
\(247\) 1163.38 2015.03i 0.299693 0.519083i
\(248\) −3338.61 5782.64i −0.854846 1.48064i
\(249\) 2447.78 + 2177.34i 0.622980 + 0.554150i
\(250\) 494.073 + 285.253i 0.124992 + 0.0721640i
\(251\) 3678.99 0.925162 0.462581 0.886577i \(-0.346923\pi\)
0.462581 + 0.886577i \(0.346923\pi\)
\(252\) 6408.24 312.960i 1.60191 0.0782326i
\(253\) −1114.98 −0.277069
\(254\) −9553.20 5515.54i −2.35993 1.36250i
\(255\) 711.351 + 632.758i 0.174692 + 0.155392i
\(256\) 1942.22 + 3364.02i 0.474174 + 0.821293i
\(257\) 2372.26 4108.88i 0.575789 0.997295i −0.420167 0.907447i \(-0.638028\pi\)
0.995955 0.0898484i \(-0.0286382\pi\)
\(258\) −2254.56 6798.70i −0.544043 1.64058i
\(259\) −4354.49 + 2133.54i −1.04469 + 0.511860i
\(260\) 1408.55i 0.335978i
\(261\) −847.568 + 99.4582i −0.201008 + 0.0235874i
\(262\) 5682.99 3281.08i 1.34006 0.773685i
\(263\) −714.976 + 412.792i −0.167632 + 0.0967826i −0.581469 0.813569i \(-0.697522\pi\)
0.413837 + 0.910351i \(0.364188\pi\)
\(264\) −1037.79 + 5031.80i −0.241937 + 1.17305i
\(265\) 3236.54i 0.750261i
\(266\) 608.765 8936.93i 0.140323 2.05999i
\(267\) −3460.85 + 1147.68i −0.793261 + 0.263059i
\(268\) −172.361 + 298.537i −0.0392858 + 0.0680450i
\(269\) 2053.16 + 3556.17i 0.465365 + 0.806036i 0.999218 0.0395417i \(-0.0125898\pi\)
−0.533853 + 0.845577i \(0.679256\pi\)
\(270\) 276.856 3189.60i 0.0624034 0.718936i
\(271\) −4293.33 2478.76i −0.962367 0.555623i −0.0654661 0.997855i \(-0.520853\pi\)
−0.896901 + 0.442232i \(0.854187\pi\)
\(272\) −74.0724 −0.0165121
\(273\) −2046.09 + 527.233i −0.453608 + 0.116885i
\(274\) 6127.59 1.35103
\(275\) −970.981 560.596i −0.212918 0.122928i
\(276\) 1101.62 1238.45i 0.240253 0.270094i
\(277\) −1146.40 1985.63i −0.248667 0.430704i 0.714489 0.699646i \(-0.246659\pi\)
−0.963156 + 0.268943i \(0.913326\pi\)
\(278\) −1470.82 + 2547.54i −0.317316 + 0.549608i
\(279\) −4886.16 6557.01i −1.04848 1.40702i
\(280\) 898.267 + 1833.34i 0.191720 + 0.391296i
\(281\) 4298.26i 0.912501i 0.889851 + 0.456250i \(0.150808\pi\)
−0.889851 + 0.456250i \(0.849192\pi\)
\(282\) 2769.41 + 571.180i 0.584809 + 0.120614i
\(283\) −1454.18 + 839.571i −0.305449 + 0.176351i −0.644888 0.764277i \(-0.723096\pi\)
0.339439 + 0.940628i \(0.389763\pi\)
\(284\) 7108.47 4104.07i 1.48525 0.857507i
\(285\) −2696.51 556.144i −0.560448 0.115590i
\(286\) 4494.14i 0.929174i
\(287\) 4530.42 + 3043.95i 0.931784 + 0.626059i
\(288\) 2994.32 + 4018.25i 0.612647 + 0.822144i
\(289\) 1785.09 3091.87i 0.363340 0.629324i
\(290\) −360.637 624.642i −0.0730254 0.126484i
\(291\) −1824.64 + 2051.28i −0.367568 + 0.413223i
\(292\) −7951.92 4591.04i −1.59367 0.920105i
\(293\) −3429.39 −0.683779 −0.341889 0.939740i \(-0.611067\pi\)
−0.341889 + 0.939740i \(0.611067\pi\)
\(294\) −6180.60 + 5288.57i −1.22605 + 1.04910i
\(295\) −31.2046 −0.00615864
\(296\) 4999.08 + 2886.22i 0.981640 + 0.566750i
\(297\) −544.093 + 6268.39i −0.106301 + 1.22468i
\(298\) −2762.76 4785.25i −0.537056 0.930208i
\(299\) −272.932 + 472.731i −0.0527894 + 0.0914340i
\(300\) 1582.02 524.624i 0.304460 0.100964i
\(301\) 4642.98 + 3119.58i 0.889093 + 0.597375i
\(302\) 2520.31i 0.480224i
\(303\) −1810.53 + 8778.53i −0.343275 + 1.66440i
\(304\) 185.513 107.106i 0.0349997 0.0202071i
\(305\) 3513.42 2028.47i 0.659599 0.380820i
\(306\) 4484.90 526.283i 0.837859 0.0983189i
\(307\) 726.092i 0.134985i −0.997720 0.0674923i \(-0.978500\pi\)
0.997720 0.0674923i \(-0.0214998\pi\)
\(308\) −4688.93 9569.97i −0.867456 1.77045i
\(309\) −637.742 1923.13i −0.117411 0.354055i
\(310\) 3455.72 5985.48i 0.633135 1.09662i
\(311\) 3360.18 + 5820.01i 0.612664 + 1.06116i 0.990790 + 0.135411i \(0.0432353\pi\)
−0.378126 + 0.925754i \(0.623431\pi\)
\(312\) 1879.35 + 1671.71i 0.341017 + 0.303340i
\(313\) 5210.38 + 3008.21i 0.940920 + 0.543241i 0.890249 0.455475i \(-0.150531\pi\)
0.0506716 + 0.998715i \(0.483864\pi\)
\(314\) 9966.44 1.79121
\(315\) 1354.25 + 2101.71i 0.242233 + 0.375930i
\(316\) −8024.82 −1.42858
\(317\) −4471.73 2581.75i −0.792295 0.457431i 0.0484752 0.998824i \(-0.484564\pi\)
−0.840770 + 0.541393i \(0.817897\pi\)
\(318\) 11470.1 + 10202.8i 2.02268 + 1.79920i
\(319\) 708.746 + 1227.58i 0.124395 + 0.215459i
\(320\) −2077.30 + 3597.99i −0.362889 + 0.628543i
\(321\) 512.894 + 1546.65i 0.0891806 + 0.268927i
\(322\) −142.818 + 2096.62i −0.0247171 + 0.362858i
\(323\) 3883.34i 0.668962i
\(324\) −6424.94 6797.61i −1.10167 1.16557i
\(325\) −475.364 + 274.452i −0.0811337 + 0.0468426i
\(326\) 14269.7 8238.63i 2.42431 1.39968i
\(327\) −830.079 + 4024.71i −0.140378 + 0.680633i
\(328\) 6497.37i 1.09377i
\(329\) −1983.02 + 971.605i −0.332302 + 0.162816i
\(330\) −5047.62 + 1673.88i −0.842007 + 0.279224i
\(331\) 1601.38 2773.68i 0.265921 0.460589i −0.701883 0.712292i \(-0.747657\pi\)
0.967805 + 0.251703i \(0.0809905\pi\)
\(332\) 4044.67 + 7005.57i 0.668615 + 1.15807i
\(333\) 6492.42 + 2797.04i 1.06842 + 0.460292i
\(334\) 6906.48 + 3987.46i 1.13145 + 0.653246i
\(335\) −134.336 −0.0219091
\(336\) −187.405 52.1498i −0.0304279 0.00846727i
\(337\) −11770.7 −1.90264 −0.951320 0.308204i \(-0.900272\pi\)
−0.951320 + 0.308204i \(0.900272\pi\)
\(338\) 6778.40 + 3913.51i 1.09082 + 0.629784i
\(339\) −8255.80 + 9281.23i −1.32269 + 1.48698i
\(340\) 1175.42 + 2035.89i 0.187489 + 0.324740i
\(341\) −6791.39 + 11763.0i −1.07852 + 1.86805i
\(342\) −10471.4 + 7803.08i −1.65564 + 1.23375i
\(343\) 1287.17 6220.68i 0.202626 0.979256i
\(344\) 6658.80i 1.04366i
\(345\) 632.607 + 130.472i 0.0987200 + 0.0203606i
\(346\) 13856.2 7999.87i 2.15293 1.24299i
\(347\) 810.218 467.780i 0.125345 0.0723681i −0.436016 0.899939i \(-0.643611\pi\)
0.561362 + 0.827571i \(0.310278\pi\)
\(348\) −2063.77 425.644i −0.317902 0.0655659i
\(349\) 6000.40i 0.920326i −0.887834 0.460163i \(-0.847791\pi\)
0.887834 0.460163i \(-0.152209\pi\)
\(350\) −1178.52 + 1754.03i −0.179985 + 0.267877i
\(351\) 2524.49 + 1765.10i 0.383896 + 0.268415i
\(352\) 4161.88 7208.59i 0.630196 1.09153i
\(353\) −3391.26 5873.83i −0.511327 0.885644i −0.999914 0.0131291i \(-0.995821\pi\)
0.488587 0.872515i \(-0.337513\pi\)
\(354\) −98.3688 + 110.587i −0.0147690 + 0.0166035i
\(355\) 2770.13 + 1599.34i 0.414150 + 0.239110i
\(356\) −9003.31 −1.34038
\(357\) −2517.42 + 2469.51i −0.373210 + 0.366107i
\(358\) −9144.05 −1.34994
\(359\) −394.879 227.984i −0.0580528 0.0335168i 0.470693 0.882297i \(-0.344004\pi\)
−0.528745 + 0.848780i \(0.677337\pi\)
\(360\) 1177.62 2733.45i 0.172405 0.400182i
\(361\) 2185.66 + 3785.68i 0.318656 + 0.551929i
\(362\) −2488.05 + 4309.42i −0.361240 + 0.625686i
\(363\) 3355.34 1112.69i 0.485151 0.160884i
\(364\) −5205.27 354.572i −0.749533 0.0510567i
\(365\) 3578.21i 0.513129i
\(366\) 3886.87 18845.8i 0.555110 2.69150i
\(367\) −4548.06 + 2625.82i −0.646884 + 0.373479i −0.787262 0.616619i \(-0.788502\pi\)
0.140377 + 0.990098i \(0.455169\pi\)
\(368\) −43.5217 + 25.1273i −0.00616502 + 0.00355938i
\(369\) −927.365 7902.86i −0.130831 1.11492i
\(370\) 5974.93i 0.839518i
\(371\) −11960.6 814.732i −1.67376 0.114013i
\(372\) −6355.60 19165.5i −0.885813 2.67119i
\(373\) 277.993 481.498i 0.0385896 0.0668391i −0.846086 0.533047i \(-0.821047\pi\)
0.884675 + 0.466208i \(0.154380\pi\)
\(374\) −3750.33 6495.76i −0.518516 0.898095i
\(375\) 485.305 + 431.687i 0.0668295 + 0.0594459i
\(376\) 2276.56 + 1314.37i 0.312246 + 0.180276i
\(377\) 693.963 0.0948034
\(378\) 11717.4 + 1826.03i 1.59439 + 0.248468i
\(379\) −775.818 −0.105148 −0.0525740 0.998617i \(-0.516743\pi\)
−0.0525740 + 0.998617i \(0.516743\pi\)
\(380\) −5887.65 3399.24i −0.794816 0.458887i
\(381\) −9383.67 8346.93i −1.26179 1.12238i
\(382\) −2487.08 4307.76i −0.333116 0.576974i
\(383\) 2985.84 5171.63i 0.398354 0.689969i −0.595169 0.803600i \(-0.702915\pi\)
0.993523 + 0.113631i \(0.0362483\pi\)
\(384\) 3774.11 + 11380.9i 0.501554 + 1.51245i
\(385\) 2316.10 3447.13i 0.306596 0.456317i
\(386\) 22577.9i 2.97716i
\(387\) −950.406 8099.22i −0.124837 1.06384i
\(388\) −5870.77 + 3389.49i −0.768152 + 0.443493i
\(389\) 677.294 391.036i 0.0882781 0.0509674i −0.455211 0.890384i \(-0.650436\pi\)
0.543489 + 0.839416i \(0.317103\pi\)
\(390\) −525.893 + 2549.84i −0.0682811 + 0.331067i
\(391\) 911.038i 0.117834i
\(392\) −7001.19 + 2858.03i −0.902075 + 0.368246i
\(393\) 7091.24 2351.58i 0.910193 0.301835i
\(394\) −7522.27 + 13029.0i −0.961844 + 1.66596i
\(395\) −1563.62 2708.26i −0.199175 0.344981i
\(396\) −6147.13 + 14268.5i −0.780063 + 1.81066i
\(397\) 2311.52 + 1334.56i 0.292221 + 0.168714i 0.638943 0.769254i \(-0.279372\pi\)
−0.346722 + 0.937968i \(0.612705\pi\)
\(398\) −3587.31 −0.451798
\(399\) 2734.01 9824.93i 0.343037 1.23274i
\(400\) −50.5345 −0.00631681
\(401\) 12909.6 + 7453.36i 1.60767 + 0.928187i 0.989890 + 0.141834i \(0.0452999\pi\)
0.617777 + 0.786353i \(0.288033\pi\)
\(402\) −423.479 + 476.078i −0.0525403 + 0.0590662i
\(403\) 3324.87 + 5758.84i 0.410976 + 0.711831i
\(404\) −11066.3 + 19167.3i −1.36279 + 2.36042i
\(405\) 1042.21 3492.82i 0.127872 0.428543i
\(406\) 2399.14 1175.49i 0.293269 0.143691i
\(407\) 11742.3i 1.43008i
\(408\) 4111.42 + 847.963i 0.498886 + 0.102893i
\(409\) −6740.03 + 3891.36i −0.814849 + 0.470453i −0.848637 0.528976i \(-0.822576\pi\)
0.0337880 + 0.999429i \(0.489243\pi\)
\(410\) 5824.27 3362.64i 0.701561 0.405047i
\(411\) 6832.43 + 1409.16i 0.819998 + 0.169121i
\(412\) 5002.97i 0.598249i
\(413\) 7.85510 115.316i 0.000935894 0.0137393i
\(414\) 2456.61 1830.62i 0.291632 0.217319i
\(415\) −1576.19 + 2730.04i −0.186438 + 0.322921i
\(416\) −2037.54 3529.12i −0.240140 0.415935i
\(417\) −2225.86 + 2502.33i −0.261393 + 0.293860i
\(418\) 18785.3 + 10845.7i 2.19813 + 1.26909i
\(419\) −10191.7 −1.18830 −0.594149 0.804355i \(-0.702511\pi\)
−0.594149 + 0.804355i \(0.702511\pi\)
\(420\) 1540.50 + 5978.39i 0.178973 + 0.694561i
\(421\) 11747.0 1.35989 0.679946 0.733262i \(-0.262003\pi\)
0.679946 + 0.733262i \(0.262003\pi\)
\(422\) −462.618 267.093i −0.0533647 0.0308101i
\(423\) 2956.62 + 1273.76i 0.339848 + 0.146412i
\(424\) 7135.57 + 12359.2i 0.817296 + 1.41560i
\(425\) −458.056 + 793.377i −0.0522800 + 0.0905516i
\(426\) 14400.5 4775.44i 1.63781 0.543124i
\(427\) 6611.76 + 13494.4i 0.749334 + 1.52937i
\(428\) 4023.56i 0.454407i
\(429\) 1033.52 5011.09i 0.116314 0.563957i
\(430\) 5968.98 3446.19i 0.669418 0.386489i
\(431\) 4728.20 2729.83i 0.528421 0.305084i −0.211952 0.977280i \(-0.567982\pi\)
0.740373 + 0.672196i \(0.234649\pi\)
\(432\) 120.027 + 256.939i 0.0133676 + 0.0286157i
\(433\) 1450.51i 0.160987i 0.996755 + 0.0804934i \(0.0256496\pi\)
−0.996755 + 0.0804934i \(0.974350\pi\)
\(434\) 21249.4 + 14277.3i 2.35024 + 1.57911i
\(435\) −258.472 779.429i −0.0284891 0.0859098i
\(436\) −5073.57 + 8787.69i −0.557294 + 0.965261i
\(437\) −1317.33 2281.68i −0.144202 0.249766i
\(438\) −12680.9 11279.9i −1.38338 1.23054i
\(439\) −7329.40 4231.63i −0.796841 0.460056i 0.0455245 0.998963i \(-0.485504\pi\)
−0.842365 + 0.538907i \(0.818837\pi\)
\(440\) −4943.76 −0.535646
\(441\) −8107.75 + 4475.55i −0.875472 + 0.483268i
\(442\) −3672.10 −0.395168
\(443\) −36.6425 21.1556i −0.00392988 0.00226892i 0.498034 0.867158i \(-0.334056\pi\)
−0.501964 + 0.864889i \(0.667389\pi\)
\(444\) 13042.6 + 11601.6i 1.39408 + 1.24006i
\(445\) −1754.27 3038.49i −0.186877 0.323681i
\(446\) 8175.53 14160.4i 0.867987 1.50340i
\(447\) −1980.10 5971.04i −0.209520 0.631813i
\(448\) −12773.4 8582.35i −1.34707 0.905085i
\(449\) 944.250i 0.0992470i 0.998768 + 0.0496235i \(0.0158021\pi\)
−0.998768 + 0.0496235i \(0.984198\pi\)
\(450\) 3059.74 359.046i 0.320528 0.0376125i
\(451\) −11446.2 + 6608.46i −1.19508 + 0.689979i
\(452\) −26562.9 + 15336.1i −2.76419 + 1.59591i
\(453\) 579.595 2810.22i 0.0601143 0.291469i
\(454\) 5799.55i 0.599530i
\(455\) −894.570 1825.79i −0.0921716 0.188119i
\(456\) −11523.1 + 3821.26i −1.18337 + 0.392427i
\(457\) −4436.67 + 7684.53i −0.454133 + 0.786581i −0.998638 0.0521768i \(-0.983384\pi\)
0.544505 + 0.838757i \(0.316717\pi\)
\(458\) 6589.60 + 11413.5i 0.672297 + 1.16445i
\(459\) 5121.82 + 444.572i 0.520841 + 0.0452088i
\(460\) 1381.25 + 797.468i 0.140003 + 0.0808307i
\(461\) 8958.04 0.905027 0.452514 0.891757i \(-0.350527\pi\)
0.452514 + 0.891757i \(0.350527\pi\)
\(462\) −4915.16 19074.8i −0.494965 1.92086i
\(463\) −5709.17 −0.573062 −0.286531 0.958071i \(-0.592502\pi\)
−0.286531 + 0.958071i \(0.592502\pi\)
\(464\) 55.3297 + 31.9446i 0.00553582 + 0.00319611i
\(465\) 5229.71 5879.27i 0.521552 0.586333i
\(466\) −3744.44 6485.56i −0.372227 0.644716i
\(467\) 9120.65 15797.4i 0.903754 1.56535i 0.0811730 0.996700i \(-0.474133\pi\)
0.822581 0.568648i \(-0.192533\pi\)
\(468\) 4544.86 + 6099.00i 0.448902 + 0.602406i
\(469\) 33.8163 496.437i 0.00332940 0.0488771i
\(470\) 2720.96i 0.267039i
\(471\) 11112.9 + 2291.98i 1.08716 + 0.224223i
\(472\) −119.159 + 68.7963i −0.0116202 + 0.00670891i
\(473\) −11730.6 + 6772.66i −1.14032 + 0.658366i
\(474\) −14527.0 2996.14i −1.40770 0.290331i
\(475\) 2649.33i 0.255915i
\(476\) −7819.50 + 3831.27i −0.752954 + 0.368920i
\(477\) 10443.1 + 14014.2i 1.00243 + 1.34521i
\(478\) −7039.23 + 12192.3i −0.673571 + 1.16666i
\(479\) −4771.66 8264.76i −0.455162 0.788364i 0.543535 0.839386i \(-0.317085\pi\)
−0.998698 + 0.0510220i \(0.983752\pi\)
\(480\) −3204.86 + 3602.92i −0.304752 + 0.342604i
\(481\) −4978.50 2874.34i −0.471934 0.272471i
\(482\) 2602.37 0.245923
\(483\) −641.405 + 2304.95i −0.0604243 + 0.217140i
\(484\) 8728.82 0.819762
\(485\) −2287.81 1320.87i −0.214194 0.123665i
\(486\) −9092.88 14704.3i −0.848686 1.37243i
\(487\) −3629.41 6286.32i −0.337709 0.584929i 0.646293 0.763090i \(-0.276319\pi\)
−0.984001 + 0.178161i \(0.942985\pi\)
\(488\) 8944.29 15492.0i 0.829691 1.43707i
\(489\) 17805.8 5904.69i 1.64664 0.546052i
\(490\) −6185.34 4796.76i −0.570256 0.442235i
\(491\) 4273.37i 0.392779i −0.980526 0.196390i \(-0.937078\pi\)
0.980526 0.196390i \(-0.0629218\pi\)
\(492\) 3968.78 19243.0i 0.363671 1.76329i
\(493\) 1003.04 579.107i 0.0916325 0.0529040i
\(494\) 9196.72 5309.73i 0.837611 0.483595i
\(495\) −6013.18 + 705.619i −0.546005 + 0.0640711i
\(496\) 612.204i 0.0554209i
\(497\) −6607.65 + 9834.39i −0.596366 + 0.887591i
\(498\) 4706.32 + 14192.0i 0.423484 + 1.27703i
\(499\) 570.563 988.245i 0.0511862 0.0886571i −0.839297 0.543673i \(-0.817033\pi\)
0.890483 + 0.455016i \(0.150366\pi\)
\(500\) 801.909 + 1388.95i 0.0717250 + 0.124231i
\(501\) 6783.93 + 6034.41i 0.604957 + 0.538119i
\(502\) 14541.5 + 8395.54i 1.29287 + 0.746437i
\(503\) −8487.44 −0.752358 −0.376179 0.926547i \(-0.622762\pi\)
−0.376179 + 0.926547i \(0.622762\pi\)
\(504\) 9804.99 + 5039.96i 0.866565 + 0.445432i
\(505\) −8624.93 −0.760009
\(506\) −4407.06 2544.42i −0.387189 0.223544i
\(507\) 6658.11 + 5922.50i 0.583229 + 0.518792i
\(508\) −15505.4 26856.1i −1.35421 2.34557i
\(509\) −332.930 + 576.652i −0.0289919 + 0.0502154i −0.880157 0.474682i \(-0.842563\pi\)
0.851165 + 0.524898i \(0.175896\pi\)
\(510\) 1367.70 + 4124.35i 0.118751 + 0.358097i
\(511\) 13223.2 + 900.740i 1.14474 + 0.0779773i
\(512\) 731.690i 0.0631571i
\(513\) −13470.4 + 6292.55i −1.15932 + 0.541565i
\(514\) 18753.1 10827.1i 1.60927 0.929113i
\(515\) 1688.43 974.815i 0.144468 0.0834087i
\(516\) 4067.39 19721.1i 0.347009 1.68250i
\(517\) 5347.39i 0.454889i
\(518\) −22080.3 1504.06i −1.87288 0.127577i
\(519\) 17289.8 5733.58i 1.46230 0.484925i
\(520\) −1210.16 + 2096.06i −0.102056 + 0.176766i
\(521\) −4394.33 7611.20i −0.369518 0.640024i 0.619972 0.784624i \(-0.287144\pi\)
−0.989490 + 0.144600i \(0.953811\pi\)
\(522\) −3577.05 1541.05i −0.299929 0.129215i
\(523\) 9827.76 + 5674.06i 0.821679 + 0.474396i 0.850995 0.525174i \(-0.176000\pi\)
−0.0293162 + 0.999570i \(0.509333\pi\)
\(524\) 18447.7 1.53796
\(525\) −1717.46 + 1684.77i −0.142773 + 0.140056i
\(526\) −3768.00 −0.312344
\(527\) 9611.42 + 5549.16i 0.794460 + 0.458681i
\(528\) 313.074 351.960i 0.0258045 0.0290096i
\(529\) −5774.45 10001.6i −0.474599 0.822030i
\(530\) −7385.87 + 12792.7i −0.605324 + 1.04845i
\(531\) −135.116 + 100.686i −0.0110424 + 0.00822859i
\(532\) 14043.9 20902.1i 1.14451 1.70342i
\(533\) 6470.62i 0.525842i
\(534\) −16298.3 3361.46i −1.32078 0.272406i
\(535\) −1357.89 + 783.980i −0.109732 + 0.0633540i
\(536\) −512.980 + 296.169i −0.0413383 + 0.0238667i
\(537\) −10195.9 2102.85i −0.819338 0.168985i
\(538\) 18741.4i 1.50186i
\(539\) 12155.8 + 9426.86i 0.971405 + 0.753328i
\(540\) 5157.36 7376.21i 0.410996 0.587818i
\(541\) −9438.27 + 16347.6i −0.750061 + 1.29914i 0.197732 + 0.980256i \(0.436643\pi\)
−0.947793 + 0.318887i \(0.896691\pi\)
\(542\) −11313.2 19595.0i −0.896572 1.55291i
\(543\) −3765.28 + 4232.95i −0.297576 + 0.334537i
\(544\) −5890.05 3400.62i −0.464216 0.268016i
\(545\) −3954.29 −0.310795
\(546\) −9290.51 2585.30i −0.728199 0.202638i
\(547\) 15999.4 1.25061 0.625307 0.780379i \(-0.284974\pi\)
0.625307 + 0.780379i \(0.284974\pi\)
\(548\) 14918.2 + 8613.00i 1.16291 + 0.671404i
\(549\) 8667.94 20119.8i 0.673841 1.56410i
\(550\) −2558.59 4431.61i −0.198361 0.343571i
\(551\) −1674.74 + 2900.73i −0.129485 + 0.224274i
\(552\) 2703.34 896.474i 0.208446 0.0691241i
\(553\) 10402.0 5096.58i 0.799885 0.391914i
\(554\) 10464.5i 0.802515i
\(555\) −1374.05 + 6662.21i −0.105091 + 0.509541i
\(556\) −7161.69 + 4134.80i −0.546265 + 0.315386i
\(557\) −11300.4 + 6524.27i −0.859627 + 0.496306i −0.863887 0.503685i \(-0.831977\pi\)
0.00426065 + 0.999991i \(0.498644\pi\)
\(558\) −4349.70 37067.5i −0.329995 2.81217i
\(559\) 6631.40i 0.501750i
\(560\) 12.7210 186.750i 0.000959929 0.0140922i
\(561\) −2687.89 8105.41i −0.202287 0.610001i
\(562\) −9808.74 + 16989.2i −0.736222 + 1.27517i
\(563\) 1062.90 + 1840.99i 0.0795661 + 0.137813i 0.903063 0.429508i \(-0.141313\pi\)
−0.823497 + 0.567321i \(0.807980\pi\)
\(564\) 5939.53 + 5283.31i 0.443438 + 0.394446i
\(565\) −10351.4 5976.41i −0.770776 0.445008i
\(566\) −7663.68 −0.569132
\(567\) 12645.3 + 4730.73i 0.936603 + 0.350392i
\(568\) 14104.2 1.04190
\(569\) 22953.8 + 13252.4i 1.69116 + 0.976394i 0.953581 + 0.301137i \(0.0973661\pi\)
0.737583 + 0.675257i \(0.235967\pi\)
\(570\) −9389.05 8351.71i −0.689937 0.613710i
\(571\) −10310.6 17858.5i −0.755667 1.30885i −0.945042 0.326949i \(-0.893979\pi\)
0.189375 0.981905i \(-0.439354\pi\)
\(572\) 6317.00 10941.4i 0.461761 0.799793i
\(573\) −1782.51 5375.22i −0.129957 0.391890i
\(574\) 10960.5 + 22370.0i 0.797006 + 1.62666i
\(575\) 621.538i 0.0450782i
\(576\) 2614.68 + 22281.9i 0.189141 + 1.61183i
\(577\) 12030.2 6945.61i 0.867976 0.501126i 0.00130062 0.999999i \(-0.499586\pi\)
0.866675 + 0.498873i \(0.166253\pi\)
\(578\) 14111.4 8147.24i 1.01550 0.586299i
\(579\) −5192.24 + 25175.0i −0.372680 + 1.80697i
\(580\) 2027.66i 0.145162i
\(581\) −9692.04 6512.01i −0.692072 0.464998i
\(582\) −11893.1 + 3943.96i −0.847054 + 0.280897i
\(583\) 14515.1 25141.0i 1.03114 1.78599i
\(584\) −7888.84 13663.9i −0.558977 0.968177i
\(585\) −1172.77 + 2722.20i −0.0828856 + 0.192392i
\(586\) −13555.0 7825.96i −0.955546 0.551685i
\(587\) −1785.23 −0.125527 −0.0627634 0.998028i \(-0.519991\pi\)
−0.0627634 + 0.998028i \(0.519991\pi\)
\(588\) −22480.9 + 4187.97i −1.57669 + 0.293723i
\(589\) −32095.5 −2.24529
\(590\) −123.339 71.2096i −0.00860639 0.00496890i
\(591\) −11383.8 + 12797.8i −0.792330 + 0.890743i
\(592\) −264.625 458.343i −0.0183716 0.0318206i
\(593\) −3382.75 + 5859.10i −0.234255 + 0.405741i −0.959056 0.283217i \(-0.908598\pi\)
0.724801 + 0.688958i \(0.241932\pi\)
\(594\) −16455.2 + 23534.7i −1.13664 + 1.62566i
\(595\) −2816.61 1892.46i −0.194067 0.130392i
\(596\) 15533.5i 1.06758i
\(597\) −3999.95 824.972i −0.274216 0.0565559i
\(598\) −2157.57 + 1245.67i −0.147541 + 0.0851829i
\(599\) −22410.2 + 12938.5i −1.52864 + 0.882561i −0.529221 + 0.848484i \(0.677516\pi\)
−0.999419 + 0.0340772i \(0.989151\pi\)
\(600\) 2804.94 + 578.506i 0.190852 + 0.0393624i
\(601\) 21917.8i 1.48760i −0.668403 0.743799i \(-0.733022\pi\)
0.668403 0.743799i \(-0.266978\pi\)
\(602\) 11232.8 + 22925.8i 0.760490 + 1.55214i
\(603\) −581.674 + 433.453i −0.0392829 + 0.0292729i
\(604\) 3542.58 6135.92i 0.238651 0.413356i
\(605\) 1700.79 + 2945.85i 0.114292 + 0.197960i
\(606\) −27189.1 + 30566.2i −1.82258 + 2.04895i
\(607\) −10602.4 6121.27i −0.708956 0.409316i 0.101718 0.994813i \(-0.467566\pi\)
−0.810674 + 0.585497i \(0.800899\pi\)
\(608\) 19668.7 1.31196
\(609\) 2945.44 758.975i 0.195985 0.0505012i
\(610\) 18516.1 1.22901
\(611\) −2267.19 1308.96i −0.150116 0.0866693i
\(612\) 11658.6 + 5022.75i 0.770054 + 0.331752i
\(613\) 9316.91 + 16137.4i 0.613877 + 1.06327i 0.990580 + 0.136932i \(0.0437242\pi\)
−0.376704 + 0.926334i \(0.622943\pi\)
\(614\) 1656.96 2869.94i 0.108908 0.188634i
\(615\) 7267.53 2410.04i 0.476512 0.158020i
\(616\) 1244.49 18269.6i 0.0813991 1.19497i
\(617\) 11465.5i 0.748112i 0.927406 + 0.374056i \(0.122033\pi\)
−0.927406 + 0.374056i \(0.877967\pi\)
\(618\) 1867.90 9056.68i 0.121582 0.589503i
\(619\) −5119.14 + 2955.53i −0.332400 + 0.191911i −0.656906 0.753972i \(-0.728135\pi\)
0.324506 + 0.945884i \(0.394802\pi\)
\(620\) 16826.5 9714.79i 1.08995 0.629283i
\(621\) 3160.17 1476.24i 0.204208 0.0953939i
\(622\) 30672.1i 1.97723i
\(623\) 11670.3 5718.01i 0.750499 0.367717i
\(624\) −72.5883 218.892i −0.00465682 0.0140428i
\(625\) −312.500 + 541.266i −0.0200000 + 0.0346410i
\(626\) 13729.6 + 23780.4i 0.876592 + 1.51830i
\(627\) 18451.9 + 16413.3i 1.17528 + 1.04543i
\(628\) 24264.2 + 14008.9i 1.54179 + 0.890155i
\(629\) −9594.47 −0.608198
\(630\) 556.626 + 11397.6i 0.0352008 + 0.720781i
\(631\) −6488.94 −0.409383 −0.204691 0.978827i \(-0.565619\pi\)
−0.204691 + 0.978827i \(0.565619\pi\)
\(632\) −11941.7 6894.57i −0.751609 0.433942i
\(633\) −454.409 404.204i −0.0285326 0.0253802i
\(634\) −11783.3 20409.2i −0.738128 1.27847i
\(635\) 6042.38 10465.7i 0.377613 0.654045i
\(636\) 13583.7 + 40962.2i 0.846904 + 2.55386i
\(637\) 6972.37 2846.27i 0.433682 0.177038i
\(638\) 6469.50i 0.401458i
\(639\) 17155.1 2013.08i 1.06204 0.124626i
\(640\) −9992.00 + 5768.88i −0.617138 + 0.356305i
\(641\) 5980.20 3452.67i 0.368493 0.212749i −0.304307 0.952574i \(-0.598425\pi\)
0.672800 + 0.739825i \(0.265092\pi\)
\(642\) −1502.23 + 7283.69i −0.0923493 + 0.447764i
\(643\) 25890.4i 1.58790i 0.607983 + 0.793950i \(0.291979\pi\)
−0.607983 + 0.793950i \(0.708021\pi\)
\(644\) −3294.74 + 4903.67i −0.201601 + 0.300049i
\(645\) 7448.10 2469.92i 0.454680 0.150780i
\(646\) 8861.87 15349.2i 0.539730 0.934840i
\(647\) −10178.6 17629.8i −0.618487 1.07125i −0.989762 0.142728i \(-0.954413\pi\)
0.371275 0.928523i \(-0.378921\pi\)
\(648\) −3720.76 15635.6i −0.225563 0.947874i
\(649\) 242.392 + 139.945i 0.0146606 + 0.00846430i
\(650\) −2505.22 −0.151174
\(651\) 20410.3 + 20806.3i 1.22879 + 1.25263i
\(652\) 46321.2 2.78233
\(653\) 15369.4 + 8873.52i 0.921058 + 0.531773i 0.883972 0.467539i \(-0.154859\pi\)
0.0370853 + 0.999312i \(0.488193\pi\)
\(654\) −12465.4 + 14013.7i −0.745317 + 0.837891i
\(655\) 3594.48 + 6225.82i 0.214424 + 0.371394i
\(656\) −297.857 + 515.904i −0.0177277 + 0.0307053i
\(657\) −11545.6 15493.6i −0.685595 0.920038i
\(658\) −10055.3 684.944i −0.595737 0.0405804i
\(659\) 346.589i 0.0204874i −0.999948 0.0102437i \(-0.996739\pi\)
0.999948 0.0102437i \(-0.00326073\pi\)
\(660\) −14641.7 3019.79i −0.863526 0.178099i
\(661\) −2606.71 + 1504.98i −0.153388 + 0.0885584i −0.574729 0.818344i \(-0.694893\pi\)
0.421342 + 0.906902i \(0.361559\pi\)
\(662\) 12659.2 7308.79i 0.743223 0.429100i
\(663\) −4094.50 844.473i −0.239845 0.0494670i
\(664\) 13900.0i 0.812386i
\(665\) 9790.57 + 666.914i 0.570920 + 0.0388899i
\(666\) 19278.9 + 25871.4i 1.12168 + 1.50525i
\(667\) 392.897 680.517i 0.0228081 0.0395048i
\(668\) 11209.6 + 19415.6i 0.649272 + 1.12457i
\(669\) 12372.4 13909.1i 0.715015 0.803825i
\(670\) −530.974 306.558i −0.0306169 0.0176767i
\(671\) −36388.9 −2.09356
\(672\) −12507.8 12750.5i −0.718004 0.731934i
\(673\) −21537.4 −1.23359 −0.616795 0.787124i \(-0.711569\pi\)
−0.616795 + 0.787124i \(0.711569\pi\)
\(674\) −46524.6 26861.0i −2.65884 1.53508i
\(675\) 3494.26 + 303.301i 0.199251 + 0.0172949i
\(676\) 11001.7 + 19055.6i 0.625952 + 1.08418i
\(677\) −3113.61 + 5392.93i −0.176759 + 0.306155i −0.940769 0.339050i \(-0.889895\pi\)
0.764010 + 0.645205i \(0.223228\pi\)
\(678\) −53811.7 + 17844.9i −3.04812 + 1.01081i
\(679\) 5457.15 8122.06i 0.308433 0.459052i
\(680\) 4039.48i 0.227805i
\(681\) 1333.72 6466.66i 0.0750490 0.363881i
\(682\) −53687.0 + 30996.2i −3.01434 + 1.74033i
\(683\) −10377.9 + 5991.66i −0.581402 + 0.335673i −0.761690 0.647941i \(-0.775630\pi\)
0.180288 + 0.983614i \(0.442297\pi\)
\(684\) −36461.6 + 4278.60i −2.03822 + 0.239176i
\(685\) 6712.88i 0.374432i
\(686\) 19283.4 21650.4i 1.07324 1.20498i
\(687\) 4722.82 + 14241.8i 0.262281 + 0.790915i
\(688\) −305.258 + 528.722i −0.0169155 + 0.0292985i
\(689\) −7106.20 12308.3i −0.392924 0.680564i
\(690\) 2202.69 + 1959.33i 0.121529 + 0.108102i
\(691\) 21090.2 + 12176.5i 1.16109 + 0.670354i 0.951564 0.307450i \(-0.0994758\pi\)
0.209522 + 0.977804i \(0.432809\pi\)
\(692\) 44978.8 2.47086
\(693\) −1093.91 22399.3i −0.0599630 1.22782i
\(694\) 4269.94 0.233551
\(695\) −2790.87 1611.31i −0.152322 0.0879432i
\(696\) −2705.41 2406.50i −0.147339 0.131061i
\(697\) 5399.70 + 9352.55i 0.293441 + 0.508254i
\(698\) 13693.1 23717.1i 0.742536 1.28611i
\(699\) −2683.67 8092.69i −0.145216 0.437902i
\(700\) −5334.70 + 2613.81i −0.288047 + 0.141132i
\(701\) 23347.4i 1.25794i −0.777428 0.628972i \(-0.783476\pi\)
0.777428 0.628972i \(-0.216524\pi\)
\(702\) 5950.27 + 12737.6i 0.319912 + 0.684831i
\(703\) 24029.2 13873.3i 1.28916 0.744296i
\(704\) 32272.3 18632.4i 1.72771 0.997494i
\(705\) −625.738 + 3033.94i −0.0334279 + 0.162078i
\(706\) 30955.7i 1.65019i
\(707\) 2171.15 31873.3i 0.115494 1.69550i
\(708\) −394.930 + 130.965i −0.0209638 + 0.00695195i
\(709\) 3202.09 5546.19i 0.169615 0.293782i −0.768669 0.639646i \(-0.779081\pi\)
0.938285 + 0.345864i \(0.112414\pi\)
\(710\) 7299.45 + 12643.0i 0.385836 + 0.668288i
\(711\) −15509.0 6681.55i −0.818050 0.352430i
\(712\) −13397.8 7735.24i −0.705204 0.407149i
\(713\) 7529.67 0.395496
\(714\) −15585.8 + 4016.12i −0.816923 + 0.210503i
\(715\) 4923.41 0.257518
\(716\) −22262.0 12853.0i −1.16197 0.670863i
\(717\) −10652.8 + 11975.9i −0.554862 + 0.623779i
\(718\) −1040.53 1802.25i −0.0540839 0.0936760i
\(719\) −11057.5 + 19152.2i −0.573541 + 0.993403i 0.422657 + 0.906290i \(0.361098\pi\)
−0.996198 + 0.0871132i \(0.972236\pi\)
\(720\) −218.814 + 163.056i −0.0113260 + 0.00843992i
\(721\) 3177.39 + 6484.96i 0.164122 + 0.334969i
\(722\) 19951.0i 1.02839i
\(723\) 2901.72 + 598.467i 0.149262 + 0.0307845i
\(724\) −12114.7 + 6994.45i −0.621879 + 0.359042i
\(725\) 684.307 395.085i 0.0350545 0.0202387i
\(726\) 15801.4 + 3258.98i 0.807778 + 0.166601i
\(727\) 2412.41i 0.123069i 0.998105 + 0.0615346i \(0.0195994\pi\)
−0.998105 + 0.0615346i \(0.980401\pi\)
\(728\) −7441.33 4999.77i −0.378838 0.254538i
\(729\) −6757.27 18486.7i −0.343305 0.939224i
\(730\) 8165.57 14143.2i 0.414002 0.717072i
\(731\) 5533.86 + 9584.92i 0.279996 + 0.484967i
\(732\) 35952.8 40418.4i 1.81538 2.04086i
\(733\) −25158.3 14525.2i −1.26773 0.731923i −0.293170 0.956060i \(-0.594710\pi\)
−0.974557 + 0.224138i \(0.928043\pi\)
\(734\) −23968.8 −1.20532
\(735\) −5793.72 6770.96i −0.290755 0.339797i
\(736\) −4614.32 −0.231095
\(737\) 1043.50 + 602.466i 0.0521545 + 0.0301114i
\(738\) 14369.0 33353.0i 0.716710 1.66361i
\(739\) 17961.7 + 31110.6i 0.894089 + 1.54861i 0.834928 + 0.550360i \(0.185510\pi\)
0.0591619 + 0.998248i \(0.481157\pi\)
\(740\) −8398.42 + 14546.5i −0.417206 + 0.722621i
\(741\) 11475.7 3805.53i 0.568920 0.188663i
\(742\) −45416.1 30514.7i −2.24700 1.50974i
\(743\) 707.501i 0.0349337i −0.999847 0.0174668i \(-0.994440\pi\)
0.999847 0.0174668i \(-0.00556015\pi\)
\(744\) 7008.36 33980.6i 0.345348 1.67445i
\(745\) 5242.33 3026.66i 0.257804 0.148843i
\(746\) 2197.58 1268.77i 0.107854 0.0622695i
\(747\) 1983.94 + 16906.8i 0.0971733 + 0.828096i
\(748\) 21086.0i 1.03072i
\(749\) −2555.37 5215.43i −0.124661 0.254429i
\(750\) 933.090 + 2813.76i 0.0454288 + 0.136992i
\(751\) 9718.47 16832.9i 0.472213 0.817897i −0.527281 0.849691i \(-0.676789\pi\)
0.999494 + 0.0317938i \(0.0101220\pi\)
\(752\) −120.509 208.728i −0.00584376 0.0101217i
\(753\) 14283.5 + 12705.4i 0.691259 + 0.614886i
\(754\) 2742.94 + 1583.64i 0.132483 + 0.0764891i
\(755\) 2761.05 0.133092
\(756\) 25960.4 + 20915.8i 1.24890 + 1.00622i
\(757\) 10730.3 0.515190 0.257595 0.966253i \(-0.417070\pi\)
0.257595 + 0.966253i \(0.417070\pi\)
\(758\) −3066.48 1770.44i −0.146939 0.0848352i
\(759\) −4328.86 3850.59i −0.207019 0.184147i
\(760\) −5840.95 10116.8i −0.278781 0.482862i
\(761\) −608.496 + 1053.95i −0.0289855 + 0.0502043i −0.880154 0.474688i \(-0.842561\pi\)
0.851169 + 0.524892i \(0.175894\pi\)
\(762\) −18041.9 54405.7i −0.857726 2.58650i
\(763\) 995.410 14613.0i 0.0472297 0.693352i
\(764\) 13983.5i 0.662179i
\(765\) 576.553 + 4913.30i 0.0272488 + 0.232210i
\(766\) 23603.6 13627.5i 1.11336 0.642798i
\(767\) 118.668 68.5131i 0.00558652 0.00322538i
\(768\) −4077.07 + 19768.0i −0.191561 + 0.928799i
\(769\) 40387.9i 1.89392i 0.321349 + 0.946961i \(0.395864\pi\)
−0.321349 + 0.946961i \(0.604136\pi\)
\(770\) 17021.0 8339.67i 0.796617 0.390313i
\(771\) 23400.2 7759.89i 1.09304 0.362472i
\(772\) −31735.7 + 54967.9i