Properties

Label 74.4.f.b.71.1
Level $74$
Weight $4$
Character 74.71
Analytic conductor $4.366$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 74 = 2 \cdot 37 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 74.f (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36614134042\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(5\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 71.1
Character \(\chi\) \(=\) 74.71
Dual form 74.4.f.b.49.1

$q$-expansion

\(f(q)\) \(=\) \(q+(1.53209 + 1.28558i) q^{2} +(-7.21877 + 6.05727i) q^{3} +(0.694593 + 3.93923i) q^{4} +(11.5648 + 4.20923i) q^{5} -18.8469 q^{6} +(-26.9521 - 9.80975i) q^{7} +(-4.00000 + 6.92820i) q^{8} +(10.7317 - 60.8623i) q^{9} +O(q^{10})\) \(q+(1.53209 + 1.28558i) q^{2} +(-7.21877 + 6.05727i) q^{3} +(0.694593 + 3.93923i) q^{4} +(11.5648 + 4.20923i) q^{5} -18.8469 q^{6} +(-26.9521 - 9.80975i) q^{7} +(-4.00000 + 6.92820i) q^{8} +(10.7317 - 60.8623i) q^{9} +(12.3070 + 21.3163i) q^{10} +(-21.0621 + 36.4806i) q^{11} +(-28.8751 - 24.2291i) q^{12} +(-2.03529 - 11.5427i) q^{13} +(-28.6818 - 49.6783i) q^{14} +(-108.980 + 39.6654i) q^{15} +(-15.0351 + 5.47232i) q^{16} +(-17.2125 + 97.6167i) q^{17} +(94.6849 - 79.4501i) q^{18} +(55.5480 - 46.6103i) q^{19} +(-8.54833 + 48.4800i) q^{20} +(253.981 - 92.4415i) q^{21} +(-79.1676 + 28.8147i) q^{22} +(90.5515 + 156.840i) q^{23} +(-13.0909 - 74.2422i) q^{24} +(20.2706 + 17.0091i) q^{25} +(11.7208 - 20.3010i) q^{26} +(163.973 + 284.010i) q^{27} +(19.9222 - 112.984i) q^{28} +(-22.5819 + 39.1130i) q^{29} +(-217.960 - 79.3309i) q^{30} -92.9941 q^{31} +(-30.0702 - 10.9446i) q^{32} +(-68.9305 - 390.924i) q^{33} +(-151.865 + 127.430i) q^{34} +(-270.403 - 226.895i) q^{35} +247.205 q^{36} +(36.5867 + 222.068i) q^{37} +145.026 q^{38} +(84.6095 + 70.9958i) q^{39} +(-75.4215 + 63.2861i) q^{40} +(56.4868 + 320.352i) q^{41} +(507.962 + 184.883i) q^{42} +21.1219 q^{43} +(-158.335 - 57.6293i) q^{44} +(380.293 - 658.686i) q^{45} +(-62.8964 + 356.703i) q^{46} +(-135.048 - 233.910i) q^{47} +(75.3875 - 130.575i) q^{48} +(367.429 + 308.310i) q^{49} +(9.18996 + 52.1188i) q^{50} +(-467.038 - 808.933i) q^{51} +(44.0556 - 16.0349i) q^{52} +(71.7240 - 26.1054i) q^{53} +(-113.895 + 645.929i) q^{54} +(-397.134 + 333.235i) q^{55} +(175.772 - 147.490i) q^{56} +(-118.657 + 672.939i) q^{57} +(-84.8802 + 30.8939i) q^{58} +(736.468 - 268.053i) q^{59} +(-231.948 - 401.746i) q^{60} +(-90.2004 - 511.552i) q^{61} +(-142.475 - 119.551i) q^{62} +(-886.284 + 1535.09i) q^{63} +(-32.0000 - 55.4256i) q^{64} +(25.0482 - 142.056i) q^{65} +(396.955 - 687.546i) q^{66} +(-15.0288 - 5.47005i) q^{67} -396.490 q^{68} +(-1603.69 - 583.696i) q^{69} +(-122.591 - 695.246i) q^{70} +(325.470 - 273.102i) q^{71} +(378.740 + 317.800i) q^{72} -36.6823 q^{73} +(-229.432 + 387.264i) q^{74} -249.358 q^{75} +(222.192 + 186.441i) q^{76} +(925.533 - 776.614i) q^{77} +(38.3588 + 217.544i) q^{78} +(246.287 + 89.6412i) q^{79} -196.911 q^{80} +(-1336.01 - 486.269i) q^{81} +(-325.294 + 563.426i) q^{82} +(-133.018 + 754.384i) q^{83} +(540.562 + 936.281i) q^{84} +(-609.949 + 1056.46i) q^{85} +(32.3606 + 27.1538i) q^{86} +(-73.9044 - 419.133i) q^{87} +(-168.497 - 291.845i) q^{88} +(161.085 - 58.6300i) q^{89} +(1429.43 - 520.271i) q^{90} +(-58.3757 + 331.065i) q^{91} +(-554.932 + 465.643i) q^{92} +(671.303 - 563.290i) q^{93} +(93.8034 - 531.985i) q^{94} +(838.594 - 305.223i) q^{95} +(283.364 - 103.136i) q^{96} +(-173.900 - 301.204i) q^{97} +(166.579 + 944.715i) q^{98} +(1994.26 + 1673.39i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q + 6 q^{3} - 6 q^{5} - 36 q^{6} - 75 q^{7} - 120 q^{8} - 48 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 30 q + 6 q^{3} - 6 q^{5} - 36 q^{6} - 75 q^{7} - 120 q^{8} - 48 q^{9} + 54 q^{10} - 21 q^{11} + 24 q^{12} - 159 q^{13} + 6 q^{14} - 69 q^{15} - 171 q^{17} + 192 q^{18} - 45 q^{19} - 24 q^{20} + 579 q^{21} + 42 q^{22} + 459 q^{23} + 48 q^{24} - 204 q^{25} + 264 q^{26} + 435 q^{27} + 96 q^{28} + 273 q^{29} - 138 q^{30} - 258 q^{31} - 318 q^{33} - 558 q^{34} - 753 q^{35} + 1296 q^{36} - 891 q^{37} - 2556 q^{38} - 504 q^{39} + 96 q^{40} + 648 q^{41} + 1158 q^{42} - 216 q^{43} + 84 q^{44} + 1731 q^{45} - 6 q^{46} + 48 q^{47} + 144 q^{48} + 1731 q^{49} + 240 q^{50} + 972 q^{51} + 48 q^{52} - 135 q^{53} + 360 q^{54} + 765 q^{55} + 408 q^{56} - 405 q^{57} - 762 q^{58} + 1836 q^{59} + 108 q^{60} - 684 q^{61} - 204 q^{62} - 3264 q^{63} - 960 q^{64} - 1350 q^{65} + 252 q^{66} + 1095 q^{67} - 432 q^{68} - 5823 q^{69} - 1146 q^{70} + 4179 q^{71} + 768 q^{72} - 2658 q^{73} - 1692 q^{74} - 10416 q^{75} - 180 q^{76} + 267 q^{77} + 1530 q^{78} + 4866 q^{79} - 864 q^{80} - 2076 q^{81} + 1800 q^{82} - 186 q^{83} + 504 q^{84} + 753 q^{85} + 648 q^{86} - 525 q^{87} - 168 q^{88} + 687 q^{89} + 768 q^{90} + 3990 q^{91} + 132 q^{92} + 3753 q^{93} + 6210 q^{94} + 9000 q^{95} - 384 q^{96} + 7428 q^{97} - 1542 q^{98} + 6324 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{2}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.53209 + 1.28558i 0.541675 + 0.454519i
\(3\) −7.21877 + 6.05727i −1.38925 + 1.16572i −0.423612 + 0.905844i \(0.639238\pi\)
−0.965641 + 0.259878i \(0.916317\pi\)
\(4\) 0.694593 + 3.93923i 0.0868241 + 0.492404i
\(5\) 11.5648 + 4.20923i 1.03438 + 0.376485i 0.802749 0.596318i \(-0.203370\pi\)
0.231636 + 0.972803i \(0.425592\pi\)
\(6\) −18.8469 −1.28237
\(7\) −26.9521 9.80975i −1.45527 0.529677i −0.511215 0.859453i \(-0.670804\pi\)
−0.944059 + 0.329776i \(0.893027\pi\)
\(8\) −4.00000 + 6.92820i −0.176777 + 0.306186i
\(9\) 10.7317 60.8623i 0.397469 2.25416i
\(10\) 12.3070 + 21.3163i 0.389180 + 0.674080i
\(11\) −21.0621 + 36.4806i −0.577315 + 0.999938i 0.418471 + 0.908230i \(0.362566\pi\)
−0.995786 + 0.0917084i \(0.970767\pi\)
\(12\) −28.8751 24.2291i −0.694627 0.582861i
\(13\) −2.03529 11.5427i −0.0434221 0.246259i 0.955369 0.295415i \(-0.0954579\pi\)
−0.998791 + 0.0491561i \(0.984347\pi\)
\(14\) −28.6818 49.6783i −0.547538 0.948363i
\(15\) −108.980 + 39.6654i −1.87590 + 0.682771i
\(16\) −15.0351 + 5.47232i −0.234923 + 0.0855050i
\(17\) −17.2125 + 97.6167i −0.245567 + 1.39268i 0.573606 + 0.819131i \(0.305544\pi\)
−0.819173 + 0.573547i \(0.805567\pi\)
\(18\) 94.6849 79.4501i 1.23986 1.04036i
\(19\) 55.5480 46.6103i 0.670715 0.562797i −0.242562 0.970136i \(-0.577988\pi\)
0.913277 + 0.407339i \(0.133543\pi\)
\(20\) −8.54833 + 48.4800i −0.0955732 + 0.542023i
\(21\) 253.981 92.4415i 2.63920 0.960590i
\(22\) −79.1676 + 28.8147i −0.767209 + 0.279241i
\(23\) 90.5515 + 156.840i 0.820926 + 1.42189i 0.904993 + 0.425426i \(0.139876\pi\)
−0.0840671 + 0.996460i \(0.526791\pi\)
\(24\) −13.0909 74.2422i −0.111340 0.631443i
\(25\) 20.2706 + 17.0091i 0.162165 + 0.136073i
\(26\) 11.7208 20.3010i 0.0884089 0.153129i
\(27\) 163.973 + 284.010i 1.16877 + 2.02436i
\(28\) 19.9222 112.984i 0.134462 0.762571i
\(29\) −22.5819 + 39.1130i −0.144598 + 0.250452i −0.929223 0.369519i \(-0.879522\pi\)
0.784625 + 0.619971i \(0.212856\pi\)
\(30\) −217.960 79.3309i −1.32646 0.482792i
\(31\) −92.9941 −0.538782 −0.269391 0.963031i \(-0.586822\pi\)
−0.269391 + 0.963031i \(0.586822\pi\)
\(32\) −30.0702 10.9446i −0.166116 0.0604612i
\(33\) −68.9305 390.924i −0.363614 2.06216i
\(34\) −151.865 + 127.430i −0.766017 + 0.642764i
\(35\) −270.403 226.895i −1.30590 1.09578i
\(36\) 247.205 1.14447
\(37\) 36.5867 + 222.068i 0.162563 + 0.986698i
\(38\) 145.026 0.619112
\(39\) 84.6095 + 70.9958i 0.347394 + 0.291498i
\(40\) −75.4215 + 63.2861i −0.298130 + 0.250160i
\(41\) 56.4868 + 320.352i 0.215165 + 1.22026i 0.880621 + 0.473822i \(0.157126\pi\)
−0.665456 + 0.746437i \(0.731763\pi\)
\(42\) 507.962 + 184.883i 1.86620 + 0.679240i
\(43\) 21.1219 0.0749083 0.0374541 0.999298i \(-0.488075\pi\)
0.0374541 + 0.999298i \(0.488075\pi\)
\(44\) −158.335 57.6293i −0.542498 0.197453i
\(45\) 380.293 658.686i 1.25979 2.18203i
\(46\) −62.8964 + 356.703i −0.201599 + 1.14333i
\(47\) −135.048 233.910i −0.419123 0.725942i 0.576728 0.816936i \(-0.304329\pi\)
−0.995851 + 0.0909935i \(0.970996\pi\)
\(48\) 75.3875 130.575i 0.226693 0.392643i
\(49\) 367.429 + 308.310i 1.07122 + 0.898862i
\(50\) 9.18996 + 52.1188i 0.0259931 + 0.147414i
\(51\) −467.038 808.933i −1.28232 2.22105i
\(52\) 44.0556 16.0349i 0.117489 0.0427624i
\(53\) 71.7240 26.1054i 0.185888 0.0676576i −0.247399 0.968914i \(-0.579576\pi\)
0.433287 + 0.901256i \(0.357354\pi\)
\(54\) −113.895 + 645.929i −0.287021 + 1.62778i
\(55\) −397.134 + 333.235i −0.973627 + 0.816970i
\(56\) 175.772 147.490i 0.419438 0.351950i
\(57\) −118.657 + 672.939i −0.275729 + 1.56374i
\(58\) −84.8802 + 30.8939i −0.192161 + 0.0699408i
\(59\) 736.468 268.053i 1.62508 0.591482i 0.640743 0.767755i \(-0.278626\pi\)
0.984341 + 0.176273i \(0.0564041\pi\)
\(60\) −231.948 401.746i −0.499072 0.864419i
\(61\) −90.2004 511.552i −0.189327 1.07373i −0.920268 0.391288i \(-0.872029\pi\)
0.730941 0.682441i \(-0.239082\pi\)
\(62\) −142.475 119.551i −0.291845 0.244887i
\(63\) −886.284 + 1535.09i −1.77240 + 3.06989i
\(64\) −32.0000 55.4256i −0.0625000 0.108253i
\(65\) 25.0482 142.056i 0.0477977 0.271074i
\(66\) 396.955 687.546i 0.740330 1.28229i
\(67\) −15.0288 5.47005i −0.0274039 0.00997422i 0.328282 0.944580i \(-0.393530\pi\)
−0.355686 + 0.934606i \(0.615753\pi\)
\(68\) −396.490 −0.707081
\(69\) −1603.69 583.696i −2.79800 1.01839i
\(70\) −122.591 695.246i −0.209320 1.18711i
\(71\) 325.470 273.102i 0.544030 0.456496i −0.328883 0.944371i \(-0.606672\pi\)
0.872914 + 0.487875i \(0.162228\pi\)
\(72\) 378.740 + 317.800i 0.619929 + 0.520182i
\(73\) −36.6823 −0.0588128 −0.0294064 0.999568i \(-0.509362\pi\)
−0.0294064 + 0.999568i \(0.509362\pi\)
\(74\) −229.432 + 387.264i −0.360417 + 0.608358i
\(75\) −249.358 −0.383911
\(76\) 222.192 + 186.441i 0.335358 + 0.281398i
\(77\) 925.533 776.614i 1.36980 1.14939i
\(78\) 38.3588 + 217.544i 0.0556831 + 0.315795i
\(79\) 246.287 + 89.6412i 0.350753 + 0.127664i 0.511387 0.859350i \(-0.329132\pi\)
−0.160634 + 0.987014i \(0.551354\pi\)
\(80\) −196.911 −0.275192
\(81\) −1336.01 486.269i −1.83267 0.667036i
\(82\) −325.294 + 563.426i −0.438082 + 0.758781i
\(83\) −133.018 + 754.384i −0.175911 + 0.997643i 0.761175 + 0.648546i \(0.224623\pi\)
−0.937087 + 0.349097i \(0.886488\pi\)
\(84\) 540.562 + 936.281i 0.702145 + 1.21615i
\(85\) −609.949 + 1056.46i −0.778333 + 1.34811i
\(86\) 32.3606 + 27.1538i 0.0405759 + 0.0340473i
\(87\) −73.9044 419.133i −0.0910734 0.516503i
\(88\) −168.497 291.845i −0.204112 0.353532i
\(89\) 161.085 58.6300i 0.191853 0.0698288i −0.244307 0.969698i \(-0.578560\pi\)
0.436160 + 0.899869i \(0.356338\pi\)
\(90\) 1429.43 520.271i 1.67417 0.609349i
\(91\) −58.3757 + 331.065i −0.0672466 + 0.381374i
\(92\) −554.932 + 465.643i −0.628866 + 0.527681i
\(93\) 671.303 563.290i 0.748505 0.628070i
\(94\) 93.8034 531.985i 0.102926 0.583725i
\(95\) 838.594 305.223i 0.905662 0.329634i
\(96\) 283.364 103.136i 0.301258 0.109649i
\(97\) −173.900 301.204i −0.182030 0.315285i 0.760542 0.649289i \(-0.224933\pi\)
−0.942572 + 0.334004i \(0.891600\pi\)
\(98\) 166.579 + 944.715i 0.171704 + 0.973782i
\(99\) 1994.26 + 1673.39i 2.02456 + 1.69880i
\(100\) −52.9229 + 91.6651i −0.0529229 + 0.0916651i
\(101\) −839.398 1453.88i −0.826963 1.43234i −0.900410 0.435042i \(-0.856733\pi\)
0.0734473 0.997299i \(-0.476600\pi\)
\(102\) 324.401 1839.77i 0.314907 1.78592i
\(103\) 372.703 645.541i 0.356539 0.617544i −0.630841 0.775912i \(-0.717290\pi\)
0.987380 + 0.158368i \(0.0506232\pi\)
\(104\) 88.1113 + 32.0699i 0.0830771 + 0.0302376i
\(105\) 3326.34 3.09160
\(106\) 143.448 + 52.2108i 0.131442 + 0.0478411i
\(107\) 220.228 + 1248.98i 0.198974 + 1.12844i 0.906644 + 0.421897i \(0.138635\pi\)
−0.707670 + 0.706544i \(0.750253\pi\)
\(108\) −1004.89 + 843.201i −0.895328 + 0.751269i
\(109\) 500.858 + 420.270i 0.440124 + 0.369308i 0.835756 0.549102i \(-0.185030\pi\)
−0.395632 + 0.918409i \(0.629474\pi\)
\(110\) −1036.84 −0.898718
\(111\) −1609.24 1381.45i −1.37606 1.18127i
\(112\) 458.908 0.387168
\(113\) 987.866 + 828.918i 0.822394 + 0.690071i 0.953531 0.301293i \(-0.0974184\pi\)
−0.131137 + 0.991364i \(0.541863\pi\)
\(114\) −1046.91 + 878.459i −0.860104 + 0.721713i
\(115\) 387.032 + 2194.97i 0.313834 + 1.77984i
\(116\) −169.760 61.7878i −0.135878 0.0494556i
\(117\) −724.357 −0.572366
\(118\) 1472.94 + 536.105i 1.14911 + 0.418241i
\(119\) 1421.51 2462.12i 1.09504 1.89666i
\(120\) 161.109 913.696i 0.122560 0.695072i
\(121\) −221.724 384.037i −0.166585 0.288533i
\(122\) 519.443 899.702i 0.385477 0.667666i
\(123\) −2348.23 1970.40i −1.72140 1.44443i
\(124\) −64.5930 366.325i −0.0467792 0.265298i
\(125\) −606.355 1050.24i −0.433873 0.751489i
\(126\) −3331.34 + 1212.51i −2.35539 + 0.857292i
\(127\) 626.986 228.204i 0.438079 0.159448i −0.113559 0.993531i \(-0.536225\pi\)
0.551638 + 0.834084i \(0.314003\pi\)
\(128\) 22.2270 126.055i 0.0153485 0.0870455i
\(129\) −152.474 + 127.941i −0.104067 + 0.0873222i
\(130\) 220.999 185.440i 0.149099 0.125109i
\(131\) 284.329 1612.51i 0.189633 1.07546i −0.730223 0.683209i \(-0.760584\pi\)
0.919856 0.392255i \(-0.128305\pi\)
\(132\) 1492.06 543.066i 0.983843 0.358090i
\(133\) −1954.37 + 711.332i −1.27418 + 0.463762i
\(134\) −15.9933 27.7013i −0.0103106 0.0178584i
\(135\) 700.850 + 3974.72i 0.446811 + 2.53399i
\(136\) −607.458 509.718i −0.383008 0.321382i
\(137\) −1211.82 + 2098.94i −0.755716 + 1.30894i 0.189301 + 0.981919i \(0.439378\pi\)
−0.945018 + 0.327020i \(0.893956\pi\)
\(138\) −1706.61 2955.94i −1.05273 1.82338i
\(139\) −454.364 + 2576.82i −0.277256 + 1.57240i 0.454446 + 0.890774i \(0.349837\pi\)
−0.731702 + 0.681624i \(0.761274\pi\)
\(140\) 705.971 1222.78i 0.426182 0.738169i
\(141\) 2391.74 + 870.521i 1.42852 + 0.519937i
\(142\) 849.741 0.502174
\(143\) 463.952 + 168.865i 0.271312 + 0.0987495i
\(144\) 171.707 + 973.797i 0.0993673 + 0.563540i
\(145\) −425.790 + 357.280i −0.243862 + 0.204624i
\(146\) −56.2005 47.1578i −0.0318574 0.0267316i
\(147\) −4519.90 −2.53602
\(148\) −849.366 + 298.371i −0.471740 + 0.165716i
\(149\) 945.302 0.519746 0.259873 0.965643i \(-0.416319\pi\)
0.259873 + 0.965643i \(0.416319\pi\)
\(150\) −382.038 320.568i −0.207955 0.174495i
\(151\) −992.675 + 832.953i −0.534985 + 0.448906i −0.869819 0.493372i \(-0.835764\pi\)
0.334834 + 0.942277i \(0.391320\pi\)
\(152\) 100.734 + 571.289i 0.0537538 + 0.304853i
\(153\) 5756.46 + 2095.18i 3.04171 + 1.10709i
\(154\) 2416.39 1.26441
\(155\) −1075.46 391.434i −0.557307 0.202843i
\(156\) −220.900 + 382.610i −0.113373 + 0.196367i
\(157\) −567.943 + 3220.97i −0.288706 + 1.63733i 0.403034 + 0.915185i \(0.367956\pi\)
−0.691739 + 0.722147i \(0.743155\pi\)
\(158\) 262.093 + 453.959i 0.131969 + 0.228576i
\(159\) −359.632 + 622.900i −0.179375 + 0.310687i
\(160\) −301.686 253.145i −0.149065 0.125080i
\(161\) −901.991 5115.45i −0.441533 2.50406i
\(162\) −1421.76 2462.55i −0.689529 1.19430i
\(163\) 1966.99 715.925i 0.945192 0.344022i 0.176978 0.984215i \(-0.443368\pi\)
0.768214 + 0.640193i \(0.221146\pi\)
\(164\) −1222.71 + 445.029i −0.582179 + 0.211896i
\(165\) 848.325 4811.09i 0.400255 2.26996i
\(166\) −1173.61 + 984.778i −0.548735 + 0.460443i
\(167\) −1415.48 + 1187.73i −0.655885 + 0.550353i −0.908850 0.417122i \(-0.863039\pi\)
0.252965 + 0.967475i \(0.418594\pi\)
\(168\) −375.470 + 2129.40i −0.172430 + 0.977897i
\(169\) 1935.41 704.433i 0.880935 0.320634i
\(170\) −2292.66 + 834.460i −1.03435 + 0.376471i
\(171\) −2240.69 3880.99i −1.00205 1.73559i
\(172\) 14.6711 + 83.2039i 0.00650384 + 0.0368851i
\(173\) −1553.78 1303.77i −0.682841 0.572971i 0.233994 0.972238i \(-0.424820\pi\)
−0.916835 + 0.399267i \(0.869265\pi\)
\(174\) 425.599 737.158i 0.185428 0.321171i
\(175\) −379.480 657.279i −0.163920 0.283918i
\(176\) 117.037 663.748i 0.0501248 0.284272i
\(177\) −3692.73 + 6396.00i −1.56815 + 2.71612i
\(178\) 322.169 + 117.260i 0.135661 + 0.0493764i
\(179\) −901.636 −0.376488 −0.188244 0.982122i \(-0.560280\pi\)
−0.188244 + 0.982122i \(0.560280\pi\)
\(180\) 2858.87 + 1040.54i 1.18382 + 0.430875i
\(181\) −296.980 1684.26i −0.121958 0.691656i −0.983068 0.183239i \(-0.941342\pi\)
0.861111 0.508417i \(-0.169769\pi\)
\(182\) −515.046 + 432.175i −0.209768 + 0.176016i
\(183\) 3749.74 + 3146.41i 1.51469 + 1.27098i
\(184\) −1448.82 −0.580482
\(185\) −511.621 + 2722.17i −0.203325 + 1.08183i
\(186\) 1752.65 0.690916
\(187\) −3198.59 2683.93i −1.25082 1.04956i
\(188\) 827.622 694.458i 0.321067 0.269407i
\(189\) −1633.35 9263.20i −0.628619 3.56507i
\(190\) 1677.19 + 610.446i 0.640400 + 0.233086i
\(191\) 1789.69 0.677995 0.338998 0.940787i \(-0.389912\pi\)
0.338998 + 0.940787i \(0.389912\pi\)
\(192\) 566.729 + 206.272i 0.213021 + 0.0775335i
\(193\) 1205.47 2087.94i 0.449596 0.778722i −0.548764 0.835977i \(-0.684901\pi\)
0.998360 + 0.0572550i \(0.0182348\pi\)
\(194\) 120.790 685.034i 0.0447021 0.253518i
\(195\) 679.651 + 1177.19i 0.249594 + 0.432310i
\(196\) −959.289 + 1661.54i −0.349595 + 0.605517i
\(197\) −640.021 537.041i −0.231470 0.194226i 0.519674 0.854364i \(-0.326053\pi\)
−0.751144 + 0.660138i \(0.770498\pi\)
\(198\) 904.126 + 5127.55i 0.324512 + 1.84040i
\(199\) −1369.36 2371.80i −0.487795 0.844886i 0.512106 0.858922i \(-0.328865\pi\)
−0.999901 + 0.0140362i \(0.995532\pi\)
\(200\) −198.925 + 72.4027i −0.0703306 + 0.0255982i
\(201\) 141.623 51.5467i 0.0496982 0.0180887i
\(202\) 583.040 3306.58i 0.203082 1.15173i
\(203\) 992.318 832.653i 0.343089 0.287886i
\(204\) 2862.17 2401.65i 0.982315 0.824260i
\(205\) −695.181 + 3942.57i −0.236847 + 1.34322i
\(206\) 1400.91 509.888i 0.473815 0.172454i
\(207\) 10517.4 3828.02i 3.53145 1.28534i
\(208\) 93.7661 + 162.408i 0.0312572 + 0.0541391i
\(209\) 530.416 + 3008.14i 0.175549 + 0.995585i
\(210\) 5096.25 + 4276.26i 1.67464 + 1.40519i
\(211\) −688.577 + 1192.65i −0.224662 + 0.389125i −0.956218 0.292656i \(-0.905461\pi\)
0.731556 + 0.681781i \(0.238794\pi\)
\(212\) 152.654 + 264.405i 0.0494544 + 0.0856575i
\(213\) −695.242 + 3942.92i −0.223649 + 1.26838i
\(214\) −1268.24 + 2196.66i −0.405118 + 0.701686i
\(215\) 244.269 + 88.9068i 0.0774839 + 0.0282018i
\(216\) −2623.58 −0.826443
\(217\) 2506.38 + 912.249i 0.784075 + 0.285380i
\(218\) 227.071 + 1287.78i 0.0705466 + 0.400090i
\(219\) 264.801 222.194i 0.0817059 0.0685594i
\(220\) −1588.53 1332.94i −0.486814 0.408485i
\(221\) 1161.79 0.353623
\(222\) −689.546 4185.30i −0.208465 1.26531i
\(223\) −3752.21 −1.12676 −0.563378 0.826199i \(-0.690498\pi\)
−0.563378 + 0.826199i \(0.690498\pi\)
\(224\) 703.089 + 589.961i 0.209719 + 0.175975i
\(225\) 1252.75 1051.18i 0.371185 0.311461i
\(226\) 447.862 + 2539.95i 0.131820 + 0.747589i
\(227\) −3894.62 1417.52i −1.13874 0.414469i −0.297284 0.954789i \(-0.596081\pi\)
−0.841459 + 0.540321i \(0.818303\pi\)
\(228\) −2733.28 −0.793929
\(229\) 634.695 + 231.010i 0.183152 + 0.0666619i 0.431968 0.901889i \(-0.357819\pi\)
−0.248816 + 0.968551i \(0.580041\pi\)
\(230\) −2228.83 + 3860.45i −0.638977 + 1.10674i
\(231\) −1977.05 + 11212.4i −0.563118 + 3.19360i
\(232\) −180.655 312.904i −0.0511233 0.0885481i
\(233\) 781.320 1353.29i 0.219682 0.380501i −0.735028 0.678036i \(-0.762831\pi\)
0.954711 + 0.297535i \(0.0961646\pi\)
\(234\) −1109.78 931.215i −0.310037 0.260152i
\(235\) −577.218 3273.56i −0.160228 0.908697i
\(236\) 1567.47 + 2714.93i 0.432345 + 0.748843i
\(237\) −2320.87 + 844.729i −0.636105 + 0.231523i
\(238\) 5343.11 1944.73i 1.45522 0.529657i
\(239\) −163.378 + 926.564i −0.0442178 + 0.250772i −0.998902 0.0468491i \(-0.985082\pi\)
0.954684 + 0.297621i \(0.0961931\pi\)
\(240\) 1421.46 1192.75i 0.382312 0.320798i
\(241\) −2076.95 + 1742.77i −0.555138 + 0.465816i −0.876676 0.481081i \(-0.840244\pi\)
0.321539 + 0.946896i \(0.395800\pi\)
\(242\) 154.008 873.423i 0.0409091 0.232007i
\(243\) 4269.27 1553.89i 1.12705 0.410214i
\(244\) 1952.47 710.640i 0.512270 0.186451i
\(245\) 2951.48 + 5112.12i 0.769647 + 1.33307i
\(246\) −1064.60 6037.64i −0.275920 1.56482i
\(247\) −651.065 546.308i −0.167718 0.140732i
\(248\) 371.976 644.282i 0.0952441 0.164968i
\(249\) −3609.28 6251.45i −0.918589 1.59104i
\(250\) 421.170 2388.57i 0.106549 0.604267i
\(251\) 468.902 812.162i 0.117916 0.204236i −0.801026 0.598630i \(-0.795712\pi\)
0.918941 + 0.394394i \(0.129045\pi\)
\(252\) −6662.68 2425.02i −1.66551 0.606197i
\(253\) −7628.82 −1.89573
\(254\) 1253.97 + 456.408i 0.309768 + 0.112746i
\(255\) −1996.20 11321.0i −0.490222 2.78019i
\(256\) 196.107 164.554i 0.0478778 0.0401742i
\(257\) 2279.04 + 1912.34i 0.553162 + 0.464158i 0.876010 0.482293i \(-0.160196\pi\)
−0.322848 + 0.946451i \(0.604640\pi\)
\(258\) −398.081 −0.0960599
\(259\) 1192.35 6344.11i 0.286058 1.52202i
\(260\) 576.988 0.137628
\(261\) 2138.17 + 1794.13i 0.507085 + 0.425495i
\(262\) 2508.62 2104.98i 0.591539 0.496360i
\(263\) 306.495 + 1738.22i 0.0718604 + 0.407541i 0.999426 + 0.0338801i \(0.0107864\pi\)
−0.927565 + 0.373661i \(0.878102\pi\)
\(264\) 2984.12 + 1086.13i 0.695682 + 0.253208i
\(265\) 939.355 0.217751
\(266\) −3908.74 1422.66i −0.900978 0.327929i
\(267\) −807.695 + 1398.97i −0.185132 + 0.320657i
\(268\) 11.1089 63.0015i 0.00253202 0.0143598i
\(269\) 2996.98 + 5190.92i 0.679290 + 1.17656i 0.975195 + 0.221347i \(0.0710454\pi\)
−0.295905 + 0.955217i \(0.595621\pi\)
\(270\) −4036.03 + 6990.61i −0.909723 + 1.57569i
\(271\) 5950.83 + 4993.34i 1.33390 + 1.11928i 0.983149 + 0.182806i \(0.0585181\pi\)
0.350751 + 0.936469i \(0.385926\pi\)
\(272\) −275.399 1561.87i −0.0613917 0.348169i
\(273\) −1583.95 2743.48i −0.351154 0.608216i
\(274\) −4554.97 + 1657.87i −1.00429 + 0.365532i
\(275\) −1047.44 + 381.238i −0.229685 + 0.0835983i
\(276\) 1185.40 6722.75i 0.258525 1.46617i
\(277\) 1037.17 870.285i 0.224972 0.188774i −0.523334 0.852128i \(-0.675312\pi\)
0.748306 + 0.663354i \(0.230868\pi\)
\(278\) −4008.83 + 3363.81i −0.864869 + 0.725711i
\(279\) −997.982 + 5659.84i −0.214149 + 1.21450i
\(280\) 2653.58 965.826i 0.566364 0.206140i
\(281\) −7326.93 + 2666.78i −1.55547 + 0.566146i −0.969693 0.244325i \(-0.921434\pi\)
−0.585779 + 0.810471i \(0.699211\pi\)
\(282\) 2545.23 + 4408.47i 0.537470 + 0.930925i
\(283\) −1273.93 7224.79i −0.267587 1.51756i −0.761567 0.648086i \(-0.775570\pi\)
0.493981 0.869473i \(-0.335541\pi\)
\(284\) 1301.88 + 1092.41i 0.272015 + 0.228248i
\(285\) −4204.80 + 7282.92i −0.873932 + 1.51370i
\(286\) 493.728 + 855.161i 0.102079 + 0.176807i
\(287\) 1620.14 9188.28i 0.333219 1.88978i
\(288\) −988.819 + 1712.69i −0.202315 + 0.350420i
\(289\) −4616.04 1680.10i −0.939556 0.341970i
\(290\) −1111.66 −0.225100
\(291\) 3079.82 + 1120.96i 0.620421 + 0.225815i
\(292\) −25.4792 144.500i −0.00510637 0.0289596i
\(293\) −787.080 + 660.438i −0.156934 + 0.131683i −0.717874 0.696173i \(-0.754884\pi\)
0.560940 + 0.827857i \(0.310440\pi\)
\(294\) −6924.89 5810.67i −1.37370 1.15267i
\(295\) 9645.38 1.90365
\(296\) −1684.88 634.794i −0.330851 0.124651i
\(297\) −13814.5 −2.69899
\(298\) 1448.29 + 1215.26i 0.281533 + 0.236235i
\(299\) 1626.06 1364.42i 0.314506 0.263902i
\(300\) −173.202 982.278i −0.0333327 0.189039i
\(301\) −569.278 207.200i −0.109012 0.0396771i
\(302\) −2591.69 −0.493824
\(303\) 14866.0 + 5410.77i 2.81857 + 1.02588i
\(304\) −580.102 + 1004.77i −0.109445 + 0.189564i
\(305\) 1110.09 6295.65i 0.208406 1.18193i
\(306\) 6125.89 + 10610.4i 1.14443 + 1.98220i
\(307\) 4980.46 8626.41i 0.925895 1.60370i 0.135780 0.990739i \(-0.456646\pi\)
0.790115 0.612958i \(-0.210021\pi\)
\(308\) 3702.13 + 3106.46i 0.684898 + 0.574697i
\(309\) 1219.76 + 6917.58i 0.224562 + 1.27355i
\(310\) −1144.48 1982.29i −0.209683 0.363182i
\(311\) 4293.54 1562.72i 0.782844 0.284932i 0.0804857 0.996756i \(-0.474353\pi\)
0.702358 + 0.711824i \(0.252131\pi\)
\(312\) −830.311 + 302.209i −0.150664 + 0.0548372i
\(313\) −1016.41 + 5764.33i −0.183549 + 1.04096i 0.744257 + 0.667893i \(0.232804\pi\)
−0.927806 + 0.373063i \(0.878307\pi\)
\(314\) −5010.94 + 4204.67i −0.900584 + 0.755680i
\(315\) −16711.2 + 14022.4i −2.98911 + 2.50816i
\(316\) −182.048 + 1032.45i −0.0324083 + 0.183796i
\(317\) 9451.39 3440.02i 1.67458 0.609498i 0.682032 0.731323i \(-0.261097\pi\)
0.992552 + 0.121824i \(0.0388744\pi\)
\(318\) −1351.77 + 492.005i −0.238376 + 0.0867619i
\(319\) −951.245 1647.60i −0.166958 0.289179i
\(320\) −136.773 775.680i −0.0238933 0.135506i
\(321\) −9155.16 7682.09i −1.59187 1.33574i
\(322\) 5194.36 8996.89i 0.898976 1.55707i
\(323\) 3593.83 + 6224.69i 0.619090 + 1.07229i
\(324\) 987.541 5600.63i 0.169332 0.960327i
\(325\) 155.074 268.596i 0.0264676 0.0458432i
\(326\) 3933.97 + 1431.85i 0.668352 + 0.243260i
\(327\) −6161.27 −1.04195
\(328\) −2445.41 890.058i −0.411663 0.149833i
\(329\) 1345.22 + 7629.15i 0.225424 + 1.27844i
\(330\) 7484.73 6280.43i 1.24855 1.04766i
\(331\) −2072.75 1739.25i −0.344196 0.288815i 0.454259 0.890870i \(-0.349904\pi\)
−0.798454 + 0.602055i \(0.794349\pi\)
\(332\) −3064.08 −0.506517
\(333\) 13908.2 + 156.413i 2.28879 + 0.0257398i
\(334\) −3695.54 −0.605423
\(335\) −150.780 126.520i −0.0245911 0.0206343i
\(336\) −3312.76 + 2779.73i −0.537874 + 0.451330i
\(337\) −593.390 3365.28i −0.0959169 0.543972i −0.994463 0.105092i \(-0.966486\pi\)
0.898546 0.438880i \(-0.144625\pi\)
\(338\) 3870.83 + 1408.87i 0.622915 + 0.226722i
\(339\) −12152.2 −1.94695
\(340\) −4585.32 1668.92i −0.731393 0.266205i
\(341\) 1958.65 3392.48i 0.311047 0.538749i
\(342\) 1556.37 8826.59i 0.246078 1.39558i
\(343\) −1959.60 3394.13i −0.308480 0.534303i
\(344\) −84.4875 + 146.337i −0.0132420 + 0.0229359i
\(345\) −16089.4 13500.6i −2.51080 2.10681i
\(346\) −704.425 3994.99i −0.109451 0.620729i
\(347\) 2226.69 + 3856.74i 0.344482 + 0.596660i 0.985259 0.171067i \(-0.0547214\pi\)
−0.640778 + 0.767726i \(0.721388\pi\)
\(348\) 1599.73 582.253i 0.246421 0.0896898i
\(349\) 9544.06 3473.76i 1.46385 0.532796i 0.517424 0.855729i \(-0.326891\pi\)
0.946422 + 0.322933i \(0.104669\pi\)
\(350\) 263.584 1494.86i 0.0402548 0.228296i
\(351\) 2944.51 2470.74i 0.447768 0.375722i
\(352\) 1032.61 866.461i 0.156359 0.131200i
\(353\) 98.9757 561.319i 0.0149234 0.0846346i −0.976436 0.215805i \(-0.930762\pi\)
0.991360 + 0.131170i \(0.0418735\pi\)
\(354\) −13880.1 + 5051.95i −2.08396 + 0.758498i
\(355\) 4913.53 1788.38i 0.734600 0.267373i
\(356\) 342.845 + 593.825i 0.0510415 + 0.0884064i
\(357\) 4652.20 + 26383.9i 0.689693 + 3.91144i
\(358\) −1381.39 1159.12i −0.203934 0.171121i
\(359\) −2773.19 + 4803.30i −0.407697 + 0.706152i −0.994631 0.103482i \(-0.967001\pi\)
0.586934 + 0.809635i \(0.300335\pi\)
\(360\) 3042.34 + 5269.49i 0.445404 + 0.771462i
\(361\) −277.992 + 1576.57i −0.0405296 + 0.229855i
\(362\) 1710.24 2962.22i 0.248310 0.430085i
\(363\) 3926.79 + 1429.24i 0.567778 + 0.206654i
\(364\) −1344.69 −0.193629
\(365\) −424.222 154.404i −0.0608350 0.0221421i
\(366\) 1700.00 + 9641.15i 0.242787 + 1.37692i
\(367\) 9246.98 7759.14i 1.31523 1.10361i 0.327934 0.944701i \(-0.393648\pi\)
0.987294 0.158906i \(-0.0507968\pi\)
\(368\) −2219.73 1862.57i −0.314433 0.263841i
\(369\) 20103.6 2.83618
\(370\) −4283.41 + 3512.88i −0.601848 + 0.493584i
\(371\) −2189.20 −0.306354
\(372\) 2685.21 + 2253.16i 0.374252 + 0.314035i
\(373\) −2304.53 + 1933.73i −0.319904 + 0.268431i −0.788571 0.614944i \(-0.789179\pi\)
0.468667 + 0.883375i \(0.344734\pi\)
\(374\) −1450.12 8224.05i −0.200492 1.13705i
\(375\) 10738.7 + 3908.57i 1.47879 + 0.538234i
\(376\) 2160.77 0.296365
\(377\) 497.430 + 181.050i 0.0679548 + 0.0247335i
\(378\) 9406.10 16291.8i 1.27989 2.21683i
\(379\) −1013.59 + 5748.36i −0.137374 + 0.779086i 0.835803 + 0.549029i \(0.185002\pi\)
−0.973177 + 0.230057i \(0.926109\pi\)
\(380\) 1784.83 + 3091.41i 0.240946 + 0.417331i
\(381\) −3143.77 + 5445.18i −0.422731 + 0.732191i
\(382\) 2741.96 + 2300.78i 0.367253 + 0.308162i
\(383\) −79.1810 449.058i −0.0105639 0.0599107i 0.979070 0.203523i \(-0.0652392\pi\)
−0.989634 + 0.143612i \(0.954128\pi\)
\(384\) 603.100 + 1044.60i 0.0801480 + 0.138820i
\(385\) 13972.5 5085.58i 1.84962 0.673208i
\(386\) 4531.10 1649.19i 0.597479 0.217465i
\(387\) 226.673 1285.53i 0.0297737 0.168855i
\(388\) 1065.72 894.248i 0.139443 0.117007i
\(389\) 3241.54 2719.98i 0.422500 0.354520i −0.406613 0.913601i \(-0.633290\pi\)
0.829113 + 0.559081i \(0.188846\pi\)
\(390\) −472.081 + 2677.30i −0.0612942 + 0.347617i
\(391\) −16868.8 + 6139.74i −2.18182 + 0.794118i
\(392\) −3605.75 + 1312.38i −0.464586 + 0.169095i
\(393\) 7714.91 + 13362.6i 0.990243 + 1.71515i
\(394\) −290.162 1645.59i −0.0371019 0.210415i
\(395\) 2470.93 + 2073.36i 0.314750 + 0.264106i
\(396\) −5206.65 + 9018.19i −0.660717 + 1.14440i
\(397\) −344.669 596.985i −0.0435730 0.0754706i 0.843416 0.537260i \(-0.180541\pi\)
−0.886989 + 0.461790i \(0.847207\pi\)
\(398\) 951.146 5394.22i 0.119791 0.679366i
\(399\) 9799.42 16973.1i 1.22953 2.12962i
\(400\) −397.850 144.805i −0.0497312 0.0181007i
\(401\) 451.375 0.0562109 0.0281055 0.999605i \(-0.491053\pi\)
0.0281055 + 0.999605i \(0.491053\pi\)
\(402\) 283.247 + 103.093i 0.0351419 + 0.0127906i
\(403\) 189.270 + 1073.40i 0.0233950 + 0.132680i
\(404\) 5144.13 4316.44i 0.633490 0.531561i
\(405\) −13403.9 11247.2i −1.64455 1.37994i
\(406\) 2590.76 0.316692
\(407\) −8871.79 3342.52i −1.08049 0.407083i
\(408\) 7472.60 0.906738
\(409\) 6700.02 + 5621.98i 0.810011 + 0.679680i 0.950610 0.310387i \(-0.100458\pi\)
−0.140599 + 0.990067i \(0.544903\pi\)
\(410\) −6133.54 + 5146.65i −0.738815 + 0.619939i
\(411\) −3965.97 22492.1i −0.475978 2.69940i
\(412\) 2801.81 + 1019.78i 0.335037 + 0.121944i
\(413\) −22478.9 −2.67824
\(414\) 21034.8 + 7656.04i 2.49711 + 0.908875i
\(415\) −4713.70 + 8164.37i −0.557557 + 0.965718i
\(416\) −65.1292 + 369.366i −0.00767602 + 0.0435329i
\(417\) −12328.6 21353.7i −1.44780 2.50766i
\(418\) −3054.54 + 5290.62i −0.357423 + 0.619074i
\(419\) −10227.2 8581.67i −1.19244 1.00058i −0.999814 0.0193057i \(-0.993854\pi\)
−0.192628 0.981272i \(-0.561701\pi\)
\(420\) 2310.45 + 13103.2i 0.268425 + 1.52231i
\(421\) 205.715 + 356.309i 0.0238146 + 0.0412480i 0.877687 0.479234i \(-0.159086\pi\)
−0.853873 + 0.520482i \(0.825752\pi\)
\(422\) −2588.20 + 942.029i −0.298559 + 0.108666i
\(423\) −15685.6 + 5709.09i −1.80298 + 0.656230i
\(424\) −106.032 + 601.340i −0.0121448 + 0.0688765i
\(425\) −2009.28 + 1685.98i −0.229328 + 0.192429i
\(426\) −6134.09 + 5147.11i −0.697647 + 0.585395i
\(427\) −2587.11 + 14672.2i −0.293206 + 1.66285i
\(428\) −4767.04 + 1735.06i −0.538373 + 0.195952i
\(429\) −4372.03 + 1591.29i −0.492036 + 0.179086i
\(430\) 259.946 + 450.240i 0.0291528 + 0.0504942i
\(431\) 497.531 + 2821.64i 0.0556038 + 0.315345i 0.999906 0.0137356i \(-0.00437233\pi\)
−0.944302 + 0.329081i \(0.893261\pi\)
\(432\) −4019.55 3372.80i −0.447664 0.375635i
\(433\) 995.246 1723.82i 0.110458 0.191320i −0.805497 0.592600i \(-0.798101\pi\)
0.915955 + 0.401281i \(0.131435\pi\)
\(434\) 2667.24 + 4619.79i 0.295003 + 0.510961i
\(435\) 909.539 5158.25i 0.100251 0.568550i
\(436\) −1307.65 + 2264.91i −0.143635 + 0.248783i
\(437\) 12340.3 + 4491.51i 1.35084 + 0.491666i
\(438\) 691.346 0.0754196
\(439\) −3557.77 1294.92i −0.386795 0.140782i 0.141301 0.989967i \(-0.454872\pi\)
−0.528096 + 0.849185i \(0.677094\pi\)
\(440\) −720.183 4084.36i −0.0780304 0.442532i
\(441\) 22707.6 19053.9i 2.45195 2.05743i
\(442\) 1779.97 + 1493.57i 0.191549 + 0.160728i
\(443\) 6634.49 0.711544 0.355772 0.934573i \(-0.384218\pi\)
0.355772 + 0.934573i \(0.384218\pi\)
\(444\) 4324.07 7298.71i 0.462188 0.780138i
\(445\) 2109.69 0.224739
\(446\) −5748.72 4823.75i −0.610336 0.512132i
\(447\) −6823.92 + 5725.95i −0.722059 + 0.605879i
\(448\) 318.754 + 1807.75i 0.0336155 + 0.190643i
\(449\) −13144.6 4784.26i −1.38159 0.502858i −0.458931 0.888472i \(-0.651767\pi\)
−0.922660 + 0.385614i \(0.873990\pi\)
\(450\) 3270.70 0.342627
\(451\) −12876.4 4686.62i −1.34440 0.489322i
\(452\) −2579.13 + 4467.19i −0.268390 + 0.464865i
\(453\) 2120.47 12025.8i 0.219930 1.24729i
\(454\) −4144.56 7178.59i −0.428445 0.742088i
\(455\) −2068.63 + 3582.97i −0.213140 + 0.369170i
\(456\) −4187.63 3513.84i −0.430052 0.360856i
\(457\) 1467.87 + 8324.72i 0.150250 + 0.852109i 0.963001 + 0.269498i \(0.0868578\pi\)
−0.812751 + 0.582611i \(0.802031\pi\)
\(458\) 675.428 + 1169.88i 0.0689098 + 0.119355i
\(459\) −30546.5 + 11118.0i −3.10630 + 1.13060i
\(460\) −8377.66 + 3049.22i −0.849153 + 0.309066i
\(461\) 1804.85 10235.8i 0.182343 1.03412i −0.746978 0.664849i \(-0.768496\pi\)
0.929321 0.369272i \(-0.120393\pi\)
\(462\) −17443.4 + 14636.8i −1.75658 + 1.47395i
\(463\) −10269.4 + 8617.05i −1.03080 + 0.864942i −0.990946 0.134264i \(-0.957133\pi\)
−0.0398520 + 0.999206i \(0.512689\pi\)
\(464\) 125.482 711.643i 0.0125546 0.0712008i
\(465\) 10134.5 3688.65i 1.01070 0.367865i
\(466\) 2936.80 1068.91i 0.291942 0.106258i
\(467\) 2891.74 + 5008.65i 0.286540 + 0.496301i 0.972981 0.230884i \(-0.0741617\pi\)
−0.686442 + 0.727185i \(0.740828\pi\)
\(468\) −503.133 2853.41i −0.0496952 0.281835i
\(469\) 351.398 + 294.858i 0.0345971 + 0.0290304i
\(470\) 3324.06 5757.45i 0.326229 0.565045i
\(471\) −15410.4 26691.6i −1.50759 2.61122i
\(472\) −1088.75 + 6174.61i −0.106173 + 0.602139i
\(473\) −444.871 + 770.539i −0.0432456 + 0.0749036i
\(474\) −4641.75 1689.46i −0.449794 0.163712i
\(475\) 1918.79 0.185348
\(476\) 10686.2 + 3889.47i 1.02900 + 0.374524i
\(477\) −819.117 4645.44i −0.0786264 0.445912i
\(478\) −1441.48 + 1209.54i −0.137932 + 0.115739i
\(479\) 11643.4 + 9770.01i 1.11065 + 0.931948i 0.998095 0.0616971i \(-0.0196513\pi\)
0.112558 + 0.993645i \(0.464096\pi\)
\(480\) 3711.17 0.352897
\(481\) 2488.80 874.283i 0.235925 0.0828771i
\(482\) −5422.54 −0.512427
\(483\) 37496.9 + 31463.6i 3.53244 + 2.96407i
\(484\) 1358.80 1140.17i 0.127611 0.107079i
\(485\) −743.279 4215.34i −0.0695888 0.394658i
\(486\) 8538.54 + 3107.77i 0.796947 + 0.290065i
\(487\) 1498.43 0.139426 0.0697128 0.997567i \(-0.477792\pi\)
0.0697128 + 0.997567i \(0.477792\pi\)
\(488\) 3904.94 + 1421.28i 0.362230 + 0.131841i
\(489\) −9862.68 + 17082.7i −0.912078 + 1.57976i
\(490\) −2050.08 + 11626.6i −0.189006 + 1.07191i
\(491\) 5171.93 + 8958.05i 0.475369 + 0.823363i 0.999602 0.0282118i \(-0.00898129\pi\)
−0.524233 + 0.851575i \(0.675648\pi\)
\(492\) 6130.78 10618.8i 0.561783 0.973036i
\(493\) −3429.39 2877.60i −0.313290 0.262882i
\(494\) −295.169 1673.99i −0.0268832 0.152462i
\(495\) 16019.5 + 27746.6i 1.45459 + 2.51943i
\(496\) 1398.17 508.894i 0.126572 0.0460686i
\(497\) −11451.1 + 4167.87i −1.03351 + 0.376166i
\(498\) 2506.98 14217.8i 0.225583 1.27934i
\(499\) 7927.35 6651.83i 0.711176 0.596747i −0.213753 0.976888i \(-0.568569\pi\)
0.924929 + 0.380140i \(0.124124\pi\)
\(500\) 3715.96 3118.06i 0.332366 0.278888i
\(501\) 3023.63 17147.8i 0.269632 1.52916i
\(502\) 1762.49 641.495i 0.156701 0.0570345i
\(503\) 7313.45 2661.88i 0.648292 0.235959i 0.00311833 0.999995i \(-0.499007\pi\)
0.645173 + 0.764036i \(0.276785\pi\)
\(504\) −7090.27 12280.7i −0.626639 1.08537i
\(505\) −3587.73 20347.0i −0.316142 1.79293i
\(506\) −11688.0 9807.43i −1.02687 0.861647i
\(507\) −9704.37 + 16808.5i −0.850071 + 1.47237i
\(508\) 1334.45 + 2311.33i 0.116548 + 0.201868i
\(509\) 392.614 2226.63i 0.0341892 0.193897i −0.962930 0.269753i \(-0.913058\pi\)
0.997119 + 0.0758563i \(0.0241690\pi\)
\(510\) 11495.6 19911.0i 0.998109 1.72877i
\(511\) 988.662 + 359.844i 0.0855887 + 0.0311518i
\(512\) 512.000 0.0441942
\(513\) 22346.2 + 8133.36i 1.92322 + 0.699993i
\(514\) 1033.23 + 5859.75i 0.0886652 + 0.502845i
\(515\) 7027.46 5896.74i 0.601295 0.504546i
\(516\) −609.896 511.763i −0.0520333 0.0436611i
\(517\) 11377.6 0.967864
\(518\) 9982.61 8186.89i 0.846739 0.694423i
\(519\) 19113.7 1.61656
\(520\) 883.997 + 741.761i 0.0745497 + 0.0625546i
\(521\) −11050.2 + 9272.24i −0.929211 + 0.779701i −0.975676 0.219219i \(-0.929649\pi\)
0.0464644 + 0.998920i \(0.485205\pi\)
\(522\) 969.366 + 5497.55i 0.0812797 + 0.460960i
\(523\) −14273.5 5195.12i −1.19337 0.434353i −0.332468 0.943115i \(-0.607881\pi\)
−0.860907 + 0.508762i \(0.830103\pi\)
\(524\) 6549.55 0.546027
\(525\) 6720.70 + 2446.14i 0.558696 + 0.203349i
\(526\) −1765.03 + 3057.13i −0.146310 + 0.253417i
\(527\) 1600.66 9077.78i 0.132307 0.750349i
\(528\) 3175.64 + 5500.37i 0.261746 + 0.453358i
\(529\) −10315.7 + 17867.3i −0.847840 + 1.46850i
\(530\) 1439.17 + 1207.61i 0.117950 + 0.0989722i
\(531\) −8410.76 47699.8i −0.687375 3.89830i
\(532\) −4159.59 7204.63i −0.338987 0.587143i
\(533\) 3582.76 1304.02i 0.291157 0.105972i
\(534\) −3035.94 + 1104.99i −0.246026 + 0.0895462i
\(535\) −2710.34 + 15371.1i −0.219025 + 1.24215i
\(536\) 98.0129 82.2426i 0.00789835 0.00662750i
\(537\) 6508.70 5461.45i 0.523038 0.438881i
\(538\) −2081.68 + 11805.8i −0.166817 + 0.946066i
\(539\) −18986.2 + 6910.39i −1.51724 + 0.552230i
\(540\) −15170.5 + 5521.62i −1.20895 + 0.440023i
\(541\) 7854.16 + 13603.8i 0.624171 + 1.08110i 0.988701 + 0.149904i \(0.0478965\pi\)
−0.364529 + 0.931192i \(0.618770\pi\)
\(542\) 2697.89 + 15300.5i 0.213808 + 1.21257i
\(543\) 12345.8 + 10359.4i 0.975709 + 0.818717i
\(544\) 1585.96 2746.97i 0.124995 0.216498i
\(545\) 4023.29 + 6968.55i 0.316218 + 0.547706i
\(546\) 1100.20 6239.54i 0.0862348 0.489062i
\(547\) 5994.08 10382.1i 0.468535 0.811526i −0.530819 0.847485i \(-0.678115\pi\)
0.999353 + 0.0359597i \(0.0114488\pi\)
\(548\) −9109.94 3315.75i −0.710141 0.258470i
\(549\) −32102.2 −2.49561
\(550\) −2094.89 762.477i −0.162412 0.0591130i
\(551\) 568.690 + 3225.20i 0.0439692 + 0.249362i
\(552\) 10458.7 8775.92i 0.806437 0.676681i
\(553\) −5758.59 4832.03i −0.442821 0.371571i
\(554\) 2707.85 0.207663
\(555\) −12795.7 22749.8i −0.978640 1.73995i
\(556\) −10466.3 −0.798328
\(557\) −18314.1 15367.3i −1.39316 1.16900i −0.964040 0.265758i \(-0.914378\pi\)
−0.429124 0.903245i \(-0.641178\pi\)
\(558\) −8805.14 + 7388.39i −0.668013 + 0.560530i
\(559\) −42.9891 243.803i −0.00325267 0.0184468i
\(560\) 5307.17 + 1931.65i 0.400480 + 0.145763i
\(561\) 39347.2 2.96121
\(562\) −14653.9 5333.57i −1.09989 0.400325i
\(563\) 4782.05 8282.75i 0.357974 0.620029i −0.629648 0.776880i \(-0.716801\pi\)
0.987622 + 0.156851i \(0.0501343\pi\)
\(564\) −1767.90 + 10026.3i −0.131989 + 0.748550i
\(565\) 7935.33 + 13744.4i 0.590870 + 1.02342i
\(566\) 7336.24 12706.7i 0.544815 0.943647i
\(567\) 31238.1 + 26211.9i 2.31372 + 1.94144i
\(568\) 590.224 + 3347.33i 0.0436008 + 0.247272i
\(569\) −5361.99 9287.25i −0.395055 0.684256i 0.598053 0.801457i \(-0.295941\pi\)
−0.993108 + 0.117201i \(0.962608\pi\)
\(570\) −15804.9 + 5752.50i −1.16139 + 0.422712i
\(571\) −7593.64 + 2763.86i −0.556540 + 0.202564i −0.604950 0.796264i \(-0.706807\pi\)
0.0484101 + 0.998828i \(0.484585\pi\)
\(572\) −342.940 + 1944.91i −0.0250682 + 0.142169i
\(573\) −12919.3 + 10840.6i −0.941907 + 0.790354i
\(574\) 14294.4 11994.4i 1.03944 0.872192i
\(575\) −832.165 + 4719.44i −0.0603542 + 0.342286i
\(576\) −3716.74 + 1352.78i −0.268862 + 0.0978577i
\(577\) 11752.0 4277.38i 0.847908 0.308613i 0.118721 0.992928i \(-0.462121\pi\)
0.729187 + 0.684315i \(0.239898\pi\)
\(578\) −4912.28 8508.33i −0.353502 0.612283i
\(579\) 3945.19 + 22374.3i 0.283172 + 1.60595i
\(580\) −1703.16 1429.12i −0.121931 0.102312i
\(581\) 10985.4 19027.3i 0.784427 1.35867i
\(582\) 3277.48 + 5676.76i 0.233429 + 0.404312i
\(583\) −558.316 + 3166.37i −0.0396623 + 0.224936i
\(584\) 146.729 254.142i 0.0103967 0.0180077i
\(585\) −8377.02 3048.99i −0.592046 0.215487i
\(586\) −2054.92 −0.144860
\(587\) 13645.2 + 4966.45i 0.959452 + 0.349212i 0.773819 0.633407i \(-0.218344\pi\)
0.185633 + 0.982619i \(0.440566\pi\)
\(588\) −3139.49 17804.9i −0.220188 1.24875i
\(589\) −5165.64 + 4334.49i −0.361369 + 0.303225i
\(590\) 14777.6 + 12399.9i 1.03116 + 0.865244i
\(591\) 7873.17 0.547985
\(592\) −1765.31 3138.60i −0.122557 0.217898i
\(593\) −18023.8 −1.24814 −0.624072 0.781367i \(-0.714523\pi\)
−0.624072 + 0.781367i \(0.714523\pi\)
\(594\) −21165.0 17759.6i −1.46197 1.22674i
\(595\) 26803.0 22490.4i 1.84675 1.54961i
\(596\) 656.600 + 3723.76i 0.0451265 + 0.255925i
\(597\) 24251.7 + 8826.90i 1.66257 + 0.605127i
\(598\) 4245.33 0.290309
\(599\) −3469.50 1262.79i −0.236661 0.0861374i 0.220967 0.975281i \(-0.429079\pi\)
−0.457628 + 0.889144i \(0.651301\pi\)
\(600\) 997.431 1727.60i 0.0678666 0.117548i
\(601\) −1139.86 + 6464.45i −0.0773640 + 0.438753i 0.921381 + 0.388661i \(0.127062\pi\)
−0.998745 + 0.0500916i \(0.984049\pi\)
\(602\) −605.813 1049.30i −0.0410151 0.0710402i
\(603\) −494.204 + 855.986i −0.0333757 + 0.0578084i
\(604\) −3970.70 3331.81i −0.267492 0.224453i
\(605\) −947.685 5374.59i −0.0636841 0.361171i
\(606\) 15820.0 + 27401.1i 1.06047 + 1.83679i
\(607\) −18550.7 + 6751.92i −1.24045 + 0.451486i −0.877163 0.480192i \(-0.840567\pi\)
−0.363284 + 0.931678i \(0.618345\pi\)
\(608\) −2180.47 + 793.627i −0.145444 + 0.0529372i
\(609\) −2119.71 + 12021.5i −0.141043 + 0.799893i
\(610\) 9794.29 8218.39i 0.650097 0.545496i
\(611\) −2425.09 + 2034.89i −0.160571 + 0.134735i
\(612\) −4255.00 + 24131.3i −0.281043 + 1.59387i
\(613\) 20602.5 7498.68i 1.35746 0.494077i 0.442195 0.896919i \(-0.354200\pi\)
0.915269 + 0.402842i \(0.131978\pi\)
\(614\) 18720.4 6813.67i 1.23045 0.447846i
\(615\) −18862.8 32671.4i −1.23679 2.14217i
\(616\) 1678.41 + 9518.73i 0.109781 + 0.622599i
\(617\) 20778.4 + 17435.2i 1.35577 + 1.13762i 0.977264 + 0.212025i \(0.0680057\pi\)
0.378504 + 0.925600i \(0.376439\pi\)
\(618\) −7024.30 + 12166.4i −0.457215 + 0.791919i
\(619\) 12638.4 + 21890.4i 0.820649 + 1.42141i 0.905200 + 0.424986i \(0.139721\pi\)
−0.0845512 + 0.996419i \(0.526946\pi\)
\(620\) 794.944 4508.35i 0.0514931 0.292032i
\(621\) −29696.1 + 51435.2i −1.91894 + 3.32371i
\(622\) 8587.08 + 3125.44i 0.553554 + 0.201477i
\(623\) −4916.71 −0.316186
\(624\) −1660.62 604.417i −0.106535 0.0387757i
\(625\) −3166.04 17955.5i −0.202626 1.14915i
\(626\) −8967.71 + 7524.80i −0.572559 + 0.480434i
\(627\) −22050.1 18502.2i −1.40446 1.17848i
\(628\) −13082.6 −0.831295
\(629\) −22307.3 250.869i −1.41407 0.0159027i
\(630\) −43629.9 −2.75914
\(631\) 1139.25 + 955.945i 0.0718746 + 0.0603099i 0.678017 0.735046i \(-0.262839\pi\)
−0.606143 + 0.795356i \(0.707284\pi\)
\(632\) −1606.20 + 1347.76i −0.101094 + 0.0848278i
\(633\) −2253.52 12780.4i −0.141500 0.802487i
\(634\) 18902.8 + 6880.05i 1.18411 + 0.430981i
\(635\) 8211.51 0.513171
\(636\) −2703.55 984.010i −0.168558 0.0613499i
\(637\) 2810.90 4868.62i 0.174838 0.302828i
\(638\) 660.728 3747.17i 0.0410007 0.232527i
\(639\) −13128.8 22739.7i −0.812779 1.40777i
\(640\) 787.646 1364.24i 0.0486476 0.0842600i
\(641\) −13971.4 11723.4i −0.860898 0.722380i 0.101263 0.994860i \(-0.467712\pi\)
−0.962161 + 0.272480i \(0.912156\pi\)
\(642\) −4150.61 23539.3i −0.255158 1.44708i
\(643\) −13502.2 23386.5i −0.828110 1.43433i −0.899519 0.436882i \(-0.856083\pi\)
0.0714083 0.997447i \(-0.477251\pi\)
\(644\) 19524.4 7106.30i 1.19467 0.434825i
\(645\) −2301.86 + 837.808i −0.140520 + 0.0511452i
\(646\) −2496.25 + 14156.9i −0.152033 + 0.862224i
\(647\) 7897.42 6626.72i 0.479876 0.402663i −0.370506 0.928830i \(-0.620816\pi\)
0.850381 + 0.526167i \(0.176371\pi\)
\(648\) 8713.03 7311.10i 0.528210 0.443221i
\(649\) −5732.84 + 32512.6i −0.346739 + 1.96646i
\(650\) 582.888 212.154i 0.0351734 0.0128021i
\(651\) −23618.7 + 8596.52i −1.42195 + 0.517549i
\(652\) 4186.45 + 7251.14i 0.251463 + 0.435547i
\(653\) −2416.60 13705.2i −0.144822 0.821326i −0.967510 0.252833i \(-0.918638\pi\)
0.822688 0.568493i \(-0.192473\pi\)
\(654\) −9439.61 7920.77i −0.564400 0.473588i
\(655\) 10075.6 17451.5i 0.601050 1.04105i
\(656\) −2602.35 4507.41i −0.154885 0.268270i
\(657\) −393.662 + 2232.57i −0.0233763 + 0.132573i
\(658\) −7746.84 + 13417.9i −0.458971 + 0.794962i
\(659\) 9397.65 + 3420.47i 0.555509 + 0.202189i 0.604493 0.796611i \(-0.293376\pi\)
−0.0489833 + 0.998800i \(0.515598\pi\)
\(660\) 19541.2 1.15249
\(661\) 8425.75 + 3066.72i 0.495800 + 0.180456i 0.577804 0.816176i \(-0.303910\pi\)
−0.0820041 + 0.996632i \(0.526132\pi\)
\(662\) −939.710 5329.36i −0.0551705 0.312887i
\(663\) −8386.71 + 7037.29i −0.491271 + 0.412226i
\(664\) −4694.45 3939.11i −0.274367 0.230222i
\(665\) −25596.0 −1.49259
\(666\) 21107.6 + 18119.7i 1.22808 + 1.05424i
\(667\) −8179.31 −0.474819
\(668\) −5661.90 4750.90i −0.327943 0.275176i
\(669\) 27086.4 22728.1i 1.56535 1.31348i
\(670\) −68.3582 387.679i −0.00394165 0.0223542i
\(671\) 20561.5 + 7483.79i 1.18296 + 0.430564i
\(672\) −8648.99 −0.496491
\(673\) −6871.74 2501.11i −0.393590 0.143255i 0.137641 0.990482i \(-0.456048\pi\)
−0.531231 + 0.847227i \(0.678270\pi\)
\(674\) 3417.19 5918.75i 0.195290 0.338252i
\(675\) −1506.91 + 8546.11i −0.0859274 + 0.487318i
\(676\) 4119.25 + 7134.75i 0.234368 + 0.405937i
\(677\) 3936.48 6818.18i 0.223473 0.387067i −0.732387 0.680888i \(-0.761594\pi\)
0.955860 + 0.293822i \(0.0949272\pi\)
\(678\) −18618.2 15622.5i −1.05461 0.884925i
\(679\) 1732.24 + 9823.99i 0.0979044 + 0.555243i
\(680\) −4879.59 8451.70i −0.275182 0.476629i
\(681\) 36700.7 13358.0i 2.06516 0.751656i
\(682\) 7362.12 2679.59i 0.413358 0.150450i
\(683\) −2190.36 + 12422.2i −0.122711 + 0.695931i 0.859929 + 0.510413i \(0.170507\pi\)
−0.982641 + 0.185518i \(0.940604\pi\)
\(684\) 13731.7 11522.3i 0.767611 0.644102i
\(685\) −22849.4 + 19172.9i −1.27450 + 1.06943i
\(686\) 1361.13 7719.33i 0.0757552 0.429629i
\(687\) −5981.01 + 2176.91i −0.332154 + 0.120894i
\(688\) −317.569 + 115.586i −0.0175977 + 0.00640503i
\(689\) −447.306 774.756i −0.0247329 0.0428387i
\(690\) −7294.35 41368.3i −0.402451 2.28241i
\(691\) 610.914 + 512.617i 0.0336328 + 0.0282212i 0.659449 0.751749i \(-0.270790\pi\)
−0.625816 + 0.779970i \(0.715234\pi\)
\(692\) 4056.62 7026.27i 0.222846 0.385981i
\(693\) −37334.0 64664.4i −2.04647 3.54459i
\(694\) −1546.64 + 8771.46i −0.0845963 + 0.479769i
\(695\) −16101.1 + 27887.9i −0.878774 + 1.52208i
\(696\) 3199.45 + 1164.51i 0.174246 + 0.0634202i
\(697\) −32244.0 −1.75227
\(698\) 19088.1 + 6947.51i 1.03510 + 0.376744i
\(699\) 2557.05 + 14501.7i 0.138364 + 0.784701i
\(700\) 2325.59 1951.40i 0.125570 0.105366i
\(701\) 2985.51 + 2505.14i 0.160858 + 0.134976i 0.719664 0.694323i \(-0.244296\pi\)
−0.558806 + 0.829298i \(0.688740\pi\)
\(702\) 7687.58 0.413317
\(703\) 12383.0 + 10630.1i 0.664344 + 0.570304i
\(704\) 2695.95 0.144329
\(705\) 23995.7 + 20134.8i 1.28188 + 1.07563i
\(706\) 873.258 732.750i 0.0465517 0.0390615i
\(707\) 8361.31 + 47419.3i 0.444780 + 2.52247i
\(708\) −27760.3 10103.9i −1.47358 0.536339i
\(709\) 25249.8 1.33748 0.668741 0.743496i \(-0.266834\pi\)
0.668741 + 0.743496i \(0.266834\pi\)
\(710\) 9827.06 + 3576.76i 0.519441 + 0.189061i
\(711\) 8098.84 14027.6i 0.427188 0.739911i
\(712\) −238.138 + 1350.55i −0.0125345 + 0.0710869i
\(713\) −8420.76 14585.2i −0.442300 0.766086i
\(714\) −26790.9 + 46403.3i −1.40424 + 2.43221i
\(715\) 4654.71 + 3905.76i 0.243463 + 0.204290i
\(716\) −626.270 3551.75i −0.0326883 0.185384i
\(717\) −4433.06 7678.28i −0.230900 0.399931i
\(718\) −10423.8 + 3793.95i −0.541799 + 0.197199i
\(719\) 17805.9 6480.83i 0.923573 0.336153i 0.163914 0.986475i \(-0.447588\pi\)
0.759659 + 0.650321i \(0.225366\pi\)
\(720\) −2113.19 + 11984.5i −0.109380 + 0.620327i
\(721\) −16377.7 + 13742.5i −0.845961 + 0.709846i
\(722\) −2452.71 + 2058.07i −0.126427 + 0.106085i
\(723\) 4436.62 25161.3i 0.228215 1.29427i
\(724\) 6428.39 2339.74i 0.329985 0.120105i
\(725\) −1123.03 + 408.748i −0.0575285 + 0.0209387i
\(726\) 4178.81 + 7237.91i 0.213623 + 0.370005i
\(727\) 918.279 + 5207.82i 0.0468461 + 0.265677i 0.999230 0.0392226i \(-0.0124881\pi\)
−0.952384 + 0.304900i \(0.901377\pi\)
\(728\) −2060.18 1728.70i −0.104884 0.0880080i
\(729\) −2212.87 + 3832.80i −0.112425 + 0.194727i
\(730\) −451.447 781.930i −0.0228888 0.0396445i
\(731\) −363.559 + 2061.85i −0.0183950 + 0.104323i
\(732\) −9789.88 + 16956.6i −0.494323 + 0.856193i
\(733\) 4439.95 + 1616.01i 0.223729 + 0.0814306i 0.451452 0.892295i \(-0.350906\pi\)
−0.227724 + 0.973726i \(0.573128\pi\)
\(734\) 24142.2 1.21404
\(735\) −52271.6 19025.3i −2.62322 0.954774i
\(736\) −1006.34 5707.26i −0.0503999 0.285832i
\(737\) 516.089 433.050i 0.0257943 0.0216440i
\(738\) 30800.5 + 25844.7i 1.53629 + 1.28910i
\(739\) −29002.2 −1.44366 −0.721829 0.692072i \(-0.756698\pi\)
−0.721829 + 0.692072i \(0.756698\pi\)
\(740\) −11078.6 124.591i −0.550349 0.00618925i
\(741\) 8009.03 0.397057
\(742\) −3354.04 2814.38i −0.165944 0.139244i
\(743\) −21745.7 + 18246.8i −1.07372 + 0.900957i −0.995384 0.0959703i \(-0.969405\pi\)
−0.0783343 + 0.996927i \(0.524960\pi\)
\(744\) 1217.38 + 6904.09i 0.0599882 + 0.340210i
\(745\) 10932.2 + 3978.99i 0.537617 + 0.195677i
\(746\) −6016.70 −0.295291
\(747\) 44486.0 + 16191.6i 2.17893 + 0.793064i
\(748\) 8350.92 14464.2i 0.408208 0.707038i
\(749\) 6316.54 35822.9i 0.308146 1.74758i
\(750\) 11427.9 + 19793.7i 0.556384 + 0.963686i
\(751\) 7106.06 12308.1i 0.345278 0.598039i −0.640126 0.768270i \(-0.721118\pi\)
0.985404 + 0.170231i \(0.0544513\pi\)
\(752\) 3310.49 + 2777.83i 0.160533 + 0.134704i
\(753\) 1534.59 + 8703.07i 0.0742675 + 0.421192i
\(754\) 529.354 + 916.869i 0.0255676 + 0.0442843i
\(755\) −14986.1 + 5454.51i −0.722386 + 0.262927i
\(756\) 35355.4 12868.3i 1.70088 0.619069i
\(757\) 3023.43 17146.7i 0.145163 0.823261i −0.822073 0.569382i \(-0.807182\pi\)
0.967236 0.253879i \(-0.0817065\pi\)
\(758\) −8942.87 + 7503.96i −0.428522 + 0.359572i
\(759\) 55070.7 46209.8i 2.63365 2.20990i
\(760\) −1239.73 + 7030.84i −0.0591705 + 0.335573i
\(761\) 31104.7 11321.2i 1.48166 0.539280i 0.530421 0.847734i \(-0.322034\pi\)
0.951239 + 0.308454i \(0.0998116\pi\)
\(762\) −11816.7 + 4300.94i −0.561778 + 0.204470i
\(763\) −9376.41 16240.4i −0.444887 0.770567i
\(764\) 1243.10 + 7049.98i 0.0588663 + 0.333847i
\(765\) 57753.0 + 48460.5i 2.72950 + 2.29032i
\(766\) 455.985 789.790i 0.0215084 0.0372536i
\(767\) −4592.97 7955.26i −0.216223 0.374508i
\(768\) −418.909 + 2375.75i −0.0196824 + 0.111624i
\(769\) 9197.06 15929.8i 0.431280 0.746999i −0.565704 0.824609i \(-0.691395\pi\)
0.996984