Properties

Label 9.4.c.a.7.1
Level $9$
Weight $4$
Character 9.7
Analytic conductor $0.531$
Analytic rank $0$
Dimension $4$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 9 = 3^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 9.c (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.531017190052\)
Analytic rank: \(0\)
Dimension: \(4\)
Relative dimension: \(2\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\Q(\sqrt{-3}, \sqrt{-11})\)
Defining polynomial: \(x^{4} - x^{3} - 2 x^{2} - 3 x + 9\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 7.1
Root \(1.68614 - 0.396143i\) of defining polynomial
Character \(\chi\) \(=\) 9.7
Dual form 9.4.c.a.4.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.18614 + 3.78651i) q^{2} +(3.55842 - 3.78651i) q^{3} +(-5.55842 - 9.62747i) q^{4} +(-2.31386 - 4.00772i) q^{5} +(6.55842 + 21.7518i) q^{6} +(-6.05842 + 10.4935i) q^{7} +13.6277 q^{8} +(-1.67527 - 26.9480i) q^{9} +O(q^{10})\) \(q+(-2.18614 + 3.78651i) q^{2} +(3.55842 - 3.78651i) q^{3} +(-5.55842 - 9.62747i) q^{4} +(-2.31386 - 4.00772i) q^{5} +(6.55842 + 21.7518i) q^{6} +(-6.05842 + 10.4935i) q^{7} +13.6277 q^{8} +(-1.67527 - 26.9480i) q^{9} +20.2337 q^{10} +(-5.01087 + 8.67909i) q^{11} +(-56.2337 - 13.2116i) q^{12} +(24.2921 + 42.0752i) q^{13} +(-26.4891 - 45.8805i) q^{14} +(-23.4090 - 5.49972i) q^{15} +(14.6753 - 25.4183i) q^{16} +75.3505 q^{17} +(105.701 + 52.5687i) q^{18} -116.052 q^{19} +(-25.7228 + 44.5532i) q^{20} +(18.1753 + 60.2805i) q^{21} +(-21.9090 - 37.9474i) q^{22} +(19.0367 + 32.9725i) q^{23} +(48.4932 - 51.6014i) q^{24} +(51.7921 - 89.7066i) q^{25} -212.424 q^{26} +(-108.000 - 89.5489i) q^{27} +134.701 q^{28} +(11.3139 - 19.5962i) q^{29} +(72.0000 - 76.6150i) q^{30} +(-15.0584 - 26.0820i) q^{31} +(118.675 + 205.552i) q^{32} +(15.0326 + 49.8576i) q^{33} +(-164.727 + 285.315i) q^{34} +56.0733 q^{35} +(-250.129 + 165.917i) q^{36} +130.103 q^{37} +(253.705 - 439.430i) q^{38} +(245.759 + 57.7390i) q^{39} +(-31.5326 - 54.6161i) q^{40} +(-173.742 - 300.930i) q^{41} +(-267.986 - 62.9610i) q^{42} +(-13.3832 + 23.1803i) q^{43} +111.410 q^{44} +(-104.124 + 69.0678i) q^{45} -166.467 q^{46} +(-230.439 + 399.132i) q^{47} +(-44.0258 - 146.017i) q^{48} +(98.0910 + 169.899i) q^{49} +(226.450 + 392.222i) q^{50} +(268.129 - 285.315i) q^{51} +(270.052 - 467.743i) q^{52} -438.310 q^{53} +(575.181 - 213.176i) q^{54} +46.3778 q^{55} +(-82.5625 + 143.002i) q^{56} +(-412.961 + 439.430i) q^{57} +(49.4674 + 85.6800i) q^{58} +(-4.18487 - 7.24841i) q^{59} +(77.1684 + 255.939i) q^{60} +(41.0448 - 71.0916i) q^{61} +131.679 q^{62} +(292.928 + 145.683i) q^{63} -802.959 q^{64} +(112.417 - 194.712i) q^{65} +(-221.649 - 52.0745i) q^{66} +(-341.785 - 591.989i) q^{67} +(-418.830 - 725.435i) q^{68} +(192.591 + 45.2475i) q^{69} +(-122.584 + 212.322i) q^{70} +1097.61 q^{71} +(-22.8301 - 367.239i) q^{72} +470.464 q^{73} +(-284.424 + 492.637i) q^{74} +(-155.376 - 515.325i) q^{75} +(645.064 + 1117.28i) q^{76} +(-60.7160 - 105.163i) q^{77} +(-755.894 + 804.344i) q^{78} +(-243.017 + 420.919i) q^{79} -135.826 q^{80} +(-723.387 + 90.2901i) q^{81} +1519.30 q^{82} +(-49.5829 + 85.8802i) q^{83} +(479.323 - 510.046i) q^{84} +(-174.351 - 301.984i) q^{85} +(-58.5149 - 101.351i) q^{86} +(-33.9416 - 112.571i) q^{87} +(-68.2868 + 118.276i) q^{88} +8.80426 q^{89} +(-33.8968 - 545.257i) q^{90} -588.687 q^{91} +(211.628 - 366.550i) q^{92} +(-152.344 - 35.7918i) q^{93} +(-1007.54 - 1745.12i) q^{94} +(268.527 + 465.103i) q^{95} +(1200.62 + 282.075i) q^{96} +(-330.486 + 572.419i) q^{97} -857.763 q^{98} +(242.278 + 120.493i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 4q - 3q^{2} - 3q^{3} - 5q^{4} - 15q^{5} + 9q^{6} - 7q^{7} + 66q^{8} + 45q^{9} + O(q^{10}) \) \( 4q - 3q^{2} - 3q^{3} - 5q^{4} - 15q^{5} + 9q^{6} - 7q^{7} + 66q^{8} + 45q^{9} + 12q^{10} - 66q^{11} - 156q^{12} + 11q^{13} - 60q^{14} + 27q^{15} + 7q^{16} + 198q^{17} + 216q^{18} - 154q^{19} + 12q^{20} + 21q^{21} + 33q^{22} - 33q^{23} - 99q^{24} + 121q^{25} - 528q^{26} - 432q^{27} + 332q^{28} + 51q^{29} + 288q^{30} - 43q^{31} + 423q^{32} + 198q^{33} - 297q^{34} + 6q^{35} - 225q^{36} - 100q^{37} + 561q^{38} + 759q^{39} - 264q^{40} - 132q^{41} - 486q^{42} - 88q^{43} - 462q^{44} - 675q^{45} - 528q^{46} - 399q^{47} - 21q^{48} + 513q^{49} + 429q^{50} + 297q^{51} + 770q^{52} + 108q^{53} + 1215q^{54} + 1254q^{55} - 66q^{56} - 1221q^{57} + 60q^{58} - 798q^{59} - 36q^{60} - 439q^{61} + 228q^{62} + 603q^{63} - 1454q^{64} - 165q^{65} - 990q^{66} - 988q^{67} - 693q^{68} + 891q^{69} - 318q^{70} + 2736q^{71} + 891q^{72} - 910q^{73} - 816q^{74} - 363q^{75} + 1529q^{76} + 165q^{77} - 990q^{78} + 803q^{79} + 192q^{80} - 567q^{81} + 3630q^{82} - 813q^{83} + 642q^{84} - 594q^{85} - 33q^{86} - 153q^{87} - 1221q^{88} - 792q^{89} - 756q^{90} - 1562q^{91} + 858q^{92} - 213q^{93} - 2100q^{94} + 132q^{95} + 1080q^{96} - 736q^{97} - 846q^{98} + 297q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/9\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.18614 + 3.78651i −0.772917 + 1.33873i 0.163040 + 0.986619i \(0.447870\pi\)
−0.935958 + 0.352113i \(0.885463\pi\)
\(3\) 3.55842 3.78651i 0.684819 0.728714i
\(4\) −5.55842 9.62747i −0.694803 1.20343i
\(5\) −2.31386 4.00772i −0.206958 0.358462i 0.743797 0.668406i \(-0.233023\pi\)
−0.950755 + 0.309944i \(0.899690\pi\)
\(6\) 6.55842 + 21.7518i 0.446244 + 1.48002i
\(7\) −6.05842 + 10.4935i −0.327124 + 0.566595i −0.981940 0.189193i \(-0.939413\pi\)
0.654816 + 0.755788i \(0.272746\pi\)
\(8\) 13.6277 0.602266
\(9\) −1.67527 26.9480i −0.0620469 0.998073i
\(10\) 20.2337 0.639845
\(11\) −5.01087 + 8.67909i −0.137349 + 0.237895i −0.926492 0.376314i \(-0.877191\pi\)
0.789144 + 0.614209i \(0.210525\pi\)
\(12\) −56.2337 13.2116i −1.35277 0.317822i
\(13\) 24.2921 + 42.0752i 0.518263 + 0.897658i 0.999775 + 0.0212183i \(0.00675450\pi\)
−0.481512 + 0.876440i \(0.659912\pi\)
\(14\) −26.4891 45.8805i −0.505680 0.875863i
\(15\) −23.4090 5.49972i −0.402944 0.0946681i
\(16\) 14.6753 25.4183i 0.229301 0.397161i
\(17\) 75.3505 1.07501 0.537506 0.843260i \(-0.319367\pi\)
0.537506 + 0.843260i \(0.319367\pi\)
\(18\) 105.701 + 52.5687i 1.38411 + 0.688364i
\(19\) −116.052 −1.40127 −0.700633 0.713522i \(-0.747099\pi\)
−0.700633 + 0.713522i \(0.747099\pi\)
\(20\) −25.7228 + 44.5532i −0.287590 + 0.498120i
\(21\) 18.1753 + 60.2805i 0.188865 + 0.626395i
\(22\) −21.9090 37.9474i −0.212318 0.367746i
\(23\) 19.0367 + 32.9725i 0.172584 + 0.298923i 0.939322 0.343036i \(-0.111455\pi\)
−0.766739 + 0.641959i \(0.778122\pi\)
\(24\) 48.4932 51.6014i 0.412443 0.438879i
\(25\) 51.7921 89.7066i 0.414337 0.717653i
\(26\) −212.424 −1.60230
\(27\) −108.000 89.5489i −0.769800 0.638285i
\(28\) 134.701 0.909147
\(29\) 11.3139 19.5962i 0.0724459 0.125480i −0.827527 0.561426i \(-0.810253\pi\)
0.899973 + 0.435946i \(0.143586\pi\)
\(30\) 72.0000 76.6150i 0.438178 0.466264i
\(31\) −15.0584 26.0820i −0.0872443 0.151112i 0.819101 0.573649i \(-0.194473\pi\)
−0.906345 + 0.422538i \(0.861139\pi\)
\(32\) 118.675 + 205.552i 0.655594 + 1.13552i
\(33\) 15.0326 + 49.8576i 0.0792983 + 0.263003i
\(34\) −164.727 + 285.315i −0.830895 + 1.43915i
\(35\) 56.0733 0.270804
\(36\) −250.129 + 165.917i −1.15800 + 0.768133i
\(37\) 130.103 0.578077 0.289038 0.957318i \(-0.406665\pi\)
0.289038 + 0.957318i \(0.406665\pi\)
\(38\) 253.705 439.430i 1.08306 1.87592i
\(39\) 245.759 + 57.7390i 1.00905 + 0.237068i
\(40\) −31.5326 54.6161i −0.124644 0.215889i
\(41\) −173.742 300.930i −0.661803 1.14628i −0.980142 0.198299i \(-0.936458\pi\)
0.318339 0.947977i \(-0.396875\pi\)
\(42\) −267.986 62.9610i −0.984552 0.231312i
\(43\) −13.3832 + 23.1803i −0.0474631 + 0.0822085i −0.888781 0.458332i \(-0.848447\pi\)
0.841318 + 0.540541i \(0.181780\pi\)
\(44\) 111.410 0.381721
\(45\) −104.124 + 69.0678i −0.344930 + 0.228801i
\(46\) −166.467 −0.533571
\(47\) −230.439 + 399.132i −0.715169 + 1.23871i 0.247725 + 0.968830i \(0.420317\pi\)
−0.962894 + 0.269879i \(0.913016\pi\)
\(48\) −44.0258 146.017i −0.132387 0.439078i
\(49\) 98.0910 + 169.899i 0.285980 + 0.495331i
\(50\) 226.450 + 392.222i 0.640496 + 1.10937i
\(51\) 268.129 285.315i 0.736188 0.783375i
\(52\) 270.052 467.743i 0.720181 1.24739i
\(53\) −438.310 −1.13597 −0.567985 0.823039i \(-0.692277\pi\)
−0.567985 + 0.823039i \(0.692277\pi\)
\(54\) 575.181 213.176i 1.44948 0.537215i
\(55\) 46.3778 0.113702
\(56\) −82.5625 + 143.002i −0.197016 + 0.341241i
\(57\) −412.961 + 439.430i −0.959613 + 1.02112i
\(58\) 49.4674 + 85.6800i 0.111989 + 0.193971i
\(59\) −4.18487 7.24841i −0.00923430 0.0159943i 0.861371 0.507976i \(-0.169606\pi\)
−0.870606 + 0.491982i \(0.836273\pi\)
\(60\) 77.1684 + 255.939i 0.166040 + 0.550693i
\(61\) 41.0448 71.0916i 0.0861515 0.149219i −0.819730 0.572750i \(-0.805876\pi\)
0.905881 + 0.423532i \(0.139210\pi\)
\(62\) 131.679 0.269730
\(63\) 292.928 + 145.683i 0.585801 + 0.291338i
\(64\) −802.959 −1.56828
\(65\) 112.417 194.712i 0.214517 0.371555i
\(66\) −221.649 52.0745i −0.413381 0.0971202i
\(67\) −341.785 591.989i −0.623220 1.07945i −0.988882 0.148701i \(-0.952491\pi\)
0.365663 0.930747i \(-0.380842\pi\)
\(68\) −418.830 725.435i −0.746921 1.29370i
\(69\) 192.591 + 45.2475i 0.336018 + 0.0789444i
\(70\) −122.584 + 212.322i −0.209309 + 0.362533i
\(71\) 1097.61 1.83468 0.917339 0.398107i \(-0.130333\pi\)
0.917339 + 0.398107i \(0.130333\pi\)
\(72\) −22.8301 367.239i −0.0373687 0.601105i
\(73\) 470.464 0.754297 0.377149 0.926153i \(-0.376905\pi\)
0.377149 + 0.926153i \(0.376905\pi\)
\(74\) −284.424 + 492.637i −0.446805 + 0.773890i
\(75\) −155.376 515.325i −0.239218 0.793395i
\(76\) 645.064 + 1117.28i 0.973604 + 1.68633i
\(77\) −60.7160 105.163i −0.0898601 0.155642i
\(78\) −755.894 + 804.344i −1.09728 + 1.16762i
\(79\) −243.017 + 420.919i −0.346096 + 0.599456i −0.985552 0.169371i \(-0.945826\pi\)
0.639456 + 0.768828i \(0.279160\pi\)
\(80\) −135.826 −0.189823
\(81\) −723.387 + 90.2901i −0.992300 + 0.123855i
\(82\) 1519.30 2.04608
\(83\) −49.5829 + 85.8802i −0.0655715 + 0.113573i −0.896947 0.442137i \(-0.854220\pi\)
0.831376 + 0.555711i \(0.187554\pi\)
\(84\) 479.323 510.046i 0.622601 0.662508i
\(85\) −174.351 301.984i −0.222482 0.385350i
\(86\) −58.5149 101.351i −0.0733701 0.127081i
\(87\) −33.9416 112.571i −0.0418267 0.138723i
\(88\) −68.2868 + 118.276i −0.0827204 + 0.143276i
\(89\) 8.80426 0.0104859 0.00524297 0.999986i \(-0.498331\pi\)
0.00524297 + 0.999986i \(0.498331\pi\)
\(90\) −33.8968 545.257i −0.0397004 0.638613i
\(91\) −588.687 −0.678145
\(92\) 211.628 366.550i 0.239823 0.415386i
\(93\) −152.344 35.7918i −0.169864 0.0399079i
\(94\) −1007.54 1745.12i −1.10553 1.91484i
\(95\) 268.527 + 465.103i 0.290003 + 0.502300i
\(96\) 1200.62 + 282.075i 1.27643 + 0.299887i
\(97\) −330.486 + 572.419i −0.345936 + 0.599179i −0.985523 0.169540i \(-0.945772\pi\)
0.639587 + 0.768719i \(0.279105\pi\)
\(98\) −857.763 −0.884155
\(99\) 242.278 + 120.493i 0.245959 + 0.122323i
\(100\) −1151.53 −1.15153
\(101\) 282.561 489.410i 0.278375 0.482160i −0.692606 0.721316i \(-0.743537\pi\)
0.970981 + 0.239156i \(0.0768708\pi\)
\(102\) 494.181 + 1639.01i 0.479717 + 1.59104i
\(103\) 485.591 + 841.068i 0.464531 + 0.804592i 0.999180 0.0404826i \(-0.0128895\pi\)
−0.534649 + 0.845074i \(0.679556\pi\)
\(104\) 331.046 + 573.389i 0.312132 + 0.540629i
\(105\) 199.533 212.322i 0.185451 0.197338i
\(106\) 958.206 1659.66i 0.878012 1.52076i
\(107\) −563.845 −0.509430 −0.254715 0.967016i \(-0.581982\pi\)
−0.254715 + 0.967016i \(0.581982\pi\)
\(108\) −261.819 + 1537.52i −0.233274 + 1.36989i
\(109\) 225.484 0.198142 0.0990709 0.995080i \(-0.468413\pi\)
0.0990709 + 0.995080i \(0.468413\pi\)
\(110\) −101.388 + 175.610i −0.0878819 + 0.152216i
\(111\) 462.962 492.637i 0.395878 0.421252i
\(112\) 177.818 + 307.990i 0.150020 + 0.259842i
\(113\) 345.531 + 598.478i 0.287654 + 0.498231i 0.973249 0.229752i \(-0.0737915\pi\)
−0.685596 + 0.727983i \(0.740458\pi\)
\(114\) −761.115 2524.33i −0.625307 2.07391i
\(115\) 88.0964 152.587i 0.0714350 0.123729i
\(116\) −251.549 −0.201342
\(117\) 1093.14 725.110i 0.863772 0.572961i
\(118\) 36.5949 0.0285494
\(119\) −456.505 + 790.690i −0.351662 + 0.609096i
\(120\) −319.011 74.9487i −0.242680 0.0570154i
\(121\) 615.282 + 1065.70i 0.462271 + 0.800676i
\(122\) 179.459 + 310.833i 0.133176 + 0.230668i
\(123\) −1757.72 412.960i −1.28852 0.302726i
\(124\) −167.402 + 289.949i −0.121235 + 0.209985i
\(125\) −1057.82 −0.756917
\(126\) −1192.01 + 790.690i −0.842800 + 0.559050i
\(127\) −895.897 −0.625968 −0.312984 0.949758i \(-0.601329\pi\)
−0.312984 + 0.949758i \(0.601329\pi\)
\(128\) 805.979 1396.00i 0.556556 0.963983i
\(129\) 40.1495 + 133.161i 0.0274028 + 0.0908849i
\(130\) 491.519 + 851.336i 0.331608 + 0.574362i
\(131\) −827.428 1433.15i −0.551853 0.955837i −0.998141 0.0609476i \(-0.980588\pi\)
0.446288 0.894889i \(-0.352746\pi\)
\(132\) 396.445 421.856i 0.261410 0.278165i
\(133\) 703.090 1217.79i 0.458388 0.793951i
\(134\) 2988.76 1.92679
\(135\) −108.990 + 640.037i −0.0694843 + 0.408042i
\(136\) 1026.86 0.647442
\(137\) 1325.55 2295.91i 0.826635 1.43177i −0.0740277 0.997256i \(-0.523585\pi\)
0.900663 0.434518i \(-0.143081\pi\)
\(138\) −592.361 + 630.330i −0.365400 + 0.388821i
\(139\) −317.084 549.206i −0.193487 0.335130i 0.752916 0.658116i \(-0.228646\pi\)
−0.946404 + 0.322986i \(0.895313\pi\)
\(140\) −311.679 539.844i −0.188155 0.325894i
\(141\) 691.316 + 2292.84i 0.412903 + 1.36944i
\(142\) −2399.53 + 4156.10i −1.41805 + 2.45614i
\(143\) −486.899 −0.284731
\(144\) −709.557 352.886i −0.410623 0.204217i
\(145\) −104.715 −0.0599730
\(146\) −1028.50 + 1781.42i −0.583009 + 1.00980i
\(147\) 992.372 + 233.149i 0.556799 + 0.130815i
\(148\) −723.168 1252.56i −0.401649 0.695677i
\(149\) 1703.16 + 2949.96i 0.936432 + 1.62195i 0.772060 + 0.635550i \(0.219227\pi\)
0.164372 + 0.986398i \(0.447440\pi\)
\(150\) 2290.96 + 538.239i 1.24704 + 0.292980i
\(151\) 875.159 1515.82i 0.471652 0.816925i −0.527822 0.849355i \(-0.676991\pi\)
0.999474 + 0.0324302i \(0.0103247\pi\)
\(152\) −1581.52 −0.843935
\(153\) −126.232 2030.54i −0.0667011 1.07294i
\(154\) 530.935 0.277818
\(155\) −69.6861 + 120.700i −0.0361118 + 0.0625474i
\(156\) −810.155 2686.98i −0.415797 1.37904i
\(157\) −1089.29 1886.70i −0.553723 0.959076i −0.998002 0.0631876i \(-0.979873\pi\)
0.444279 0.895889i \(-0.353460\pi\)
\(158\) −1062.54 1840.37i −0.535008 0.926660i
\(159\) −1559.69 + 1659.66i −0.777934 + 0.827797i
\(160\) 549.196 951.235i 0.271361 0.470011i
\(161\) −461.329 −0.225825
\(162\) 1239.54 2936.50i 0.601158 1.42415i
\(163\) 2188.41 1.05159 0.525797 0.850610i \(-0.323767\pi\)
0.525797 + 0.850610i \(0.323767\pi\)
\(164\) −1931.46 + 3345.39i −0.919645 + 1.59287i
\(165\) 165.032 175.610i 0.0778650 0.0828559i
\(166\) −216.791 375.492i −0.101363 0.175565i
\(167\) −960.520 1663.67i −0.445074 0.770890i 0.552984 0.833192i \(-0.313489\pi\)
−0.998057 + 0.0623020i \(0.980156\pi\)
\(168\) 247.687 + 821.486i 0.113747 + 0.377256i
\(169\) −81.7132 + 141.531i −0.0371931 + 0.0644203i
\(170\) 1524.62 0.687841
\(171\) 194.417 + 3127.36i 0.0869442 + 1.39857i
\(172\) 297.557 0.131910
\(173\) −1584.91 + 2745.15i −0.696525 + 1.20642i 0.273139 + 0.961974i \(0.411938\pi\)
−0.969664 + 0.244442i \(0.921395\pi\)
\(174\) 500.454 + 117.577i 0.218042 + 0.0512270i
\(175\) 627.557 + 1086.96i 0.271079 + 0.469523i
\(176\) 147.072 + 254.736i 0.0629884 + 0.109099i
\(177\) −42.3377 9.94685i −0.0179791 0.00422402i
\(178\) −19.2473 + 33.3374i −0.00810477 + 0.0140379i
\(179\) 1368.78 0.571551 0.285776 0.958297i \(-0.407749\pi\)
0.285776 + 0.958297i \(0.407749\pi\)
\(180\) 1243.71 + 618.539i 0.515004 + 0.256129i
\(181\) −3951.44 −1.62270 −0.811350 0.584561i \(-0.801267\pi\)
−0.811350 + 0.584561i \(0.801267\pi\)
\(182\) 1286.95 2229.07i 0.524150 0.907855i
\(183\) −123.134 408.390i −0.0497396 0.164968i
\(184\) 259.426 + 449.340i 0.103941 + 0.180031i
\(185\) −301.040 521.417i −0.119637 0.207218i
\(186\) 468.571 498.605i 0.184716 0.196556i
\(187\) −377.572 + 653.974i −0.147651 + 0.255740i
\(188\) 5123.50 1.98761
\(189\) 1593.99 590.773i 0.613469 0.227367i
\(190\) −2348.15 −0.896594
\(191\) 1201.29 2080.70i 0.455092 0.788243i −0.543601 0.839344i \(-0.682940\pi\)
0.998693 + 0.0511008i \(0.0162730\pi\)
\(192\) −2857.27 + 3040.41i −1.07399 + 1.14283i
\(193\) 667.535 + 1156.20i 0.248965 + 0.431220i 0.963239 0.268646i \(-0.0865763\pi\)
−0.714274 + 0.699866i \(0.753243\pi\)
\(194\) −1444.98 2502.78i −0.534760 0.926232i
\(195\) −337.251 1118.54i −0.123852 0.410769i
\(196\) 1090.46 1888.74i 0.397399 0.688315i
\(197\) −2630.89 −0.951487 −0.475743 0.879584i \(-0.657821\pi\)
−0.475743 + 0.879584i \(0.657821\pi\)
\(198\) −985.903 + 653.974i −0.353864 + 0.234727i
\(199\) 2477.34 0.882483 0.441241 0.897388i \(-0.354538\pi\)
0.441241 + 0.897388i \(0.354538\pi\)
\(200\) 705.808 1222.50i 0.249541 0.432218i
\(201\) −3457.79 812.376i −1.21340 0.285078i
\(202\) 1235.44 + 2139.84i 0.430322 + 0.745340i
\(203\) 137.088 + 237.444i 0.0473976 + 0.0820950i
\(204\) −4237.24 995.501i −1.45425 0.341662i
\(205\) −804.028 + 1392.62i −0.273931 + 0.474462i
\(206\) −4246.28 −1.43618
\(207\) 856.650 568.238i 0.287639 0.190798i
\(208\) 1425.97 0.475353
\(209\) 581.520 1007.22i 0.192462 0.333354i
\(210\) 367.753 + 1219.70i 0.120844 + 0.400796i
\(211\) 1392.36 + 2411.65i 0.454286 + 0.786847i 0.998647 0.0520047i \(-0.0165611\pi\)
−0.544361 + 0.838851i \(0.683228\pi\)
\(212\) 2436.31 + 4219.81i 0.789276 + 1.36707i
\(213\) 3905.75 4156.10i 1.25642 1.33696i
\(214\) 1232.64 2135.00i 0.393747 0.681990i
\(215\) 123.867 0.0392914
\(216\) −1471.79 1220.35i −0.463624 0.384417i
\(217\) 364.921 0.114159
\(218\) −492.940 + 853.797i −0.153147 + 0.265259i
\(219\) 1674.11 1781.42i 0.516557 0.549667i
\(220\) −257.788 446.501i −0.0790002 0.136832i
\(221\) 1830.42 + 3170.39i 0.557138 + 0.964992i
\(222\) 853.272 + 2829.98i 0.257963 + 0.855567i
\(223\) 21.5288 37.2890i 0.00646491 0.0111976i −0.862775 0.505588i \(-0.831275\pi\)
0.869240 + 0.494391i \(0.164609\pi\)
\(224\) −2875.94 −0.857843
\(225\) −2504.18 1245.41i −0.741978 0.369010i
\(226\) −3021.52 −0.889330
\(227\) −341.630 + 591.721i −0.0998889 + 0.173013i −0.911639 0.410993i \(-0.865182\pi\)
0.811750 + 0.584006i \(0.198515\pi\)
\(228\) 6526.01 + 1533.23i 1.89559 + 0.445353i
\(229\) −2147.15 3718.98i −0.619598 1.07317i −0.989559 0.144127i \(-0.953962\pi\)
0.369962 0.929047i \(-0.379371\pi\)
\(230\) 385.182 + 667.155i 0.110427 + 0.191265i
\(231\) −614.254 144.313i −0.174957 0.0411045i
\(232\) 154.182 267.051i 0.0436317 0.0755723i
\(233\) 3466.34 0.974625 0.487313 0.873228i \(-0.337977\pi\)
0.487313 + 0.873228i \(0.337977\pi\)
\(234\) 355.866 + 5724.39i 0.0994176 + 1.59921i
\(235\) 2132.81 0.592040
\(236\) −46.5225 + 80.5794i −0.0128320 + 0.0222257i
\(237\) 729.052 + 2417.99i 0.199819 + 0.662724i
\(238\) −1995.97 3457.12i −0.543611 0.941562i
\(239\) −2821.69 4887.30i −0.763681 1.32273i −0.940941 0.338570i \(-0.890057\pi\)
0.177261 0.984164i \(-0.443276\pi\)
\(240\) −483.326 + 514.306i −0.129994 + 0.138326i
\(241\) −3294.71 + 5706.61i −0.880627 + 1.52529i −0.0299825 + 0.999550i \(0.509545\pi\)
−0.850645 + 0.525741i \(0.823788\pi\)
\(242\) −5380.37 −1.42919
\(243\) −2232.23 + 3060.40i −0.589291 + 0.807921i
\(244\) −912.577 −0.239433
\(245\) 453.938 786.243i 0.118372 0.205025i
\(246\) 5406.30 5752.82i 1.40119 1.49100i
\(247\) −2819.14 4882.89i −0.726225 1.25786i
\(248\) −205.212 355.438i −0.0525442 0.0910093i
\(249\) 148.749 + 493.344i 0.0378577 + 0.125560i
\(250\) 2312.55 4005.46i 0.585034 1.01331i
\(251\) 4135.47 1.03996 0.519978 0.854180i \(-0.325940\pi\)
0.519978 + 0.854180i \(0.325940\pi\)
\(252\) −225.660 3629.92i −0.0564097 0.907395i
\(253\) −381.562 −0.0948165
\(254\) 1958.56 3392.32i 0.483822 0.838004i
\(255\) −1763.88 414.407i −0.433170 0.101769i
\(256\) 312.132 + 540.628i 0.0762041 + 0.131989i
\(257\) 1672.31 + 2896.53i 0.405898 + 0.703036i 0.994426 0.105441i \(-0.0336254\pi\)
−0.588527 + 0.808477i \(0.700292\pi\)
\(258\) −591.986 139.082i −0.142851 0.0335615i
\(259\) −788.220 + 1365.24i −0.189103 + 0.327536i
\(260\) −2499.45 −0.596189
\(261\) −547.031 272.057i −0.129733 0.0645207i
\(262\) 7235.49 1.70615
\(263\) −3260.75 + 5647.78i −0.764511 + 1.32417i 0.175994 + 0.984391i \(0.443686\pi\)
−0.940505 + 0.339780i \(0.889647\pi\)
\(264\) 204.860 + 679.445i 0.0477587 + 0.158398i
\(265\) 1014.19 + 1756.62i 0.235098 + 0.407202i
\(266\) 3074.11 + 5324.51i 0.708592 + 1.22732i
\(267\) 31.3293 33.3374i 0.00718097 0.00764125i
\(268\) −3799.57 + 6581.05i −0.866029 + 1.50001i
\(269\) −2904.99 −0.658441 −0.329220 0.944253i \(-0.606786\pi\)
−0.329220 + 0.944253i \(0.606786\pi\)
\(270\) −2185.24 1811.90i −0.492553 0.408404i
\(271\) −1335.38 −0.299331 −0.149665 0.988737i \(-0.547820\pi\)
−0.149665 + 0.988737i \(0.547820\pi\)
\(272\) 1105.79 1915.28i 0.246501 0.426953i
\(273\) −2094.80 + 2229.07i −0.464406 + 0.494174i
\(274\) 5795.66 + 10038.4i 1.27784 + 2.21329i
\(275\) 519.048 + 899.017i 0.113817 + 0.197137i
\(276\) −634.883 2105.67i −0.138462 0.459226i
\(277\) 4187.82 7253.51i 0.908381 1.57336i 0.0920685 0.995753i \(-0.470652\pi\)
0.816313 0.577610i \(-0.196015\pi\)
\(278\) 2772.76 0.598199
\(279\) −677.629 + 449.488i −0.145407 + 0.0964522i
\(280\) 764.152 0.163096
\(281\) 2589.67 4485.43i 0.549774 0.952237i −0.448516 0.893775i \(-0.648047\pi\)
0.998290 0.0584616i \(-0.0186195\pi\)
\(282\) −10193.2 2394.79i −2.15246 0.505701i
\(283\) 1540.03 + 2667.42i 0.323482 + 0.560288i 0.981204 0.192973i \(-0.0618130\pi\)
−0.657722 + 0.753261i \(0.728480\pi\)
\(284\) −6100.97 10567.2i −1.27474 2.20791i
\(285\) 2716.65 + 638.252i 0.564632 + 0.132655i
\(286\) 1064.43 1843.65i 0.220074 0.381179i
\(287\) 4210.40 0.865966
\(288\) 5340.39 3542.41i 1.09266 0.724787i
\(289\) 764.703 0.155649
\(290\) 228.921 396.503i 0.0463542 0.0802878i
\(291\) 991.459 + 3288.30i 0.199726 + 0.662417i
\(292\) −2615.04 4529.38i −0.524088 0.907747i
\(293\) −1824.45 3160.04i −0.363773 0.630073i 0.624806 0.780780i \(-0.285178\pi\)
−0.988578 + 0.150708i \(0.951845\pi\)
\(294\) −3052.28 + 3247.93i −0.605486 + 0.644296i
\(295\) −19.3664 + 33.5436i −0.00382222 + 0.00662028i
\(296\) 1773.01 0.348156
\(297\) 1318.38 488.624i 0.257576 0.0954640i
\(298\) −14893.4 −2.89514
\(299\) −924.882 + 1601.94i −0.178887 + 0.309842i
\(300\) −4097.63 + 4360.27i −0.788589 + 0.839135i
\(301\) −162.162 280.872i −0.0310526 0.0537847i
\(302\) 3826.44 + 6627.59i 0.729096 + 1.26283i
\(303\) −847.684 2811.45i −0.160720 0.533048i
\(304\) −1703.09 + 2949.84i −0.321312 + 0.556528i
\(305\) −379.887 −0.0713190
\(306\) 7964.63 + 3961.08i 1.48793 + 0.739999i
\(307\) −3439.25 −0.639376 −0.319688 0.947523i \(-0.603578\pi\)
−0.319688 + 0.947523i \(0.603578\pi\)
\(308\) −674.970 + 1169.08i −0.124870 + 0.216281i
\(309\) 4912.65 + 1154.18i 0.904436 + 0.212489i
\(310\) −304.687 527.734i −0.0558228 0.0966880i
\(311\) −3587.66 6214.02i −0.654141 1.13301i −0.982108 0.188316i \(-0.939697\pi\)
0.327968 0.944689i \(-0.393636\pi\)
\(312\) 3349.14 + 786.850i 0.607717 + 0.142778i
\(313\) 2428.65 4206.54i 0.438579 0.759642i −0.559001 0.829167i \(-0.688815\pi\)
0.997580 + 0.0695253i \(0.0221485\pi\)
\(314\) 9525.33 1.71193
\(315\) −93.9378 1511.06i −0.0168025 0.270282i
\(316\) 5403.17 0.961874
\(317\) −3773.97 + 6536.70i −0.668666 + 1.15816i 0.309611 + 0.950863i \(0.399801\pi\)
−0.978277 + 0.207300i \(0.933532\pi\)
\(318\) −2874.62 9534.03i −0.506920 1.68126i
\(319\) 113.385 + 196.388i 0.0199007 + 0.0344690i
\(320\) 1857.93 + 3218.04i 0.324568 + 0.562168i
\(321\) −2006.40 + 2135.00i −0.348867 + 0.371228i
\(322\) 1008.53 1746.82i 0.174544 0.302319i
\(323\) −8744.55 −1.50638
\(324\) 4890.15 + 6462.52i 0.838504 + 1.10811i
\(325\) 5032.56 0.858942
\(326\) −4784.18 + 8286.44i −0.812795 + 1.40780i
\(327\) 802.367 853.797i 0.135691 0.144389i
\(328\) −2367.70 4100.98i −0.398581 0.690363i
\(329\) −2792.19 4836.22i −0.467898 0.810423i
\(330\) 304.165 + 1008.80i 0.0507387 + 0.168281i
\(331\) 1564.86 2710.41i 0.259856 0.450084i −0.706347 0.707866i \(-0.749658\pi\)
0.966203 + 0.257782i \(0.0829915\pi\)
\(332\) 1102.41 0.182237
\(333\) −217.957 3506.02i −0.0358679 0.576963i
\(334\) 8399.33 1.37602
\(335\) −1581.69 + 2739.56i −0.257960 + 0.446801i
\(336\) 1798.96 + 422.648i 0.292087 + 0.0686231i
\(337\) 4614.99 + 7993.39i 0.745978 + 1.29207i 0.949737 + 0.313050i \(0.101351\pi\)
−0.203759 + 0.979021i \(0.565316\pi\)
\(338\) −357.273 618.815i −0.0574944 0.0995832i
\(339\) 3495.69 + 821.280i 0.560058 + 0.131581i
\(340\) −1938.23 + 3357.11i −0.309162 + 0.535485i
\(341\) 301.823 0.0479315
\(342\) −12266.8 6100.68i −1.93951 0.964581i
\(343\) −6533.19 −1.02845
\(344\) −182.382 + 315.895i −0.0285854 + 0.0495113i
\(345\) −264.289 876.548i −0.0412430 0.136788i
\(346\) −6929.69 12002.6i −1.07671 1.86492i
\(347\) 4052.20 + 7018.61i 0.626897 + 1.08582i 0.988171 + 0.153358i \(0.0490088\pi\)
−0.361273 + 0.932460i \(0.617658\pi\)
\(348\) −895.117 + 952.491i −0.137883 + 0.146721i
\(349\) −1538.21 + 2664.26i −0.235927 + 0.408638i −0.959542 0.281566i \(-0.909146\pi\)
0.723615 + 0.690204i \(0.242479\pi\)
\(350\) −5487.71 −0.838087
\(351\) 1144.24 6719.45i 0.174002 1.02182i
\(352\) −2378.67 −0.360180
\(353\) 3075.04 5326.13i 0.463649 0.803063i −0.535491 0.844541i \(-0.679873\pi\)
0.999139 + 0.0414780i \(0.0132067\pi\)
\(354\) 130.220 138.567i 0.0195512 0.0208043i
\(355\) −2539.71 4398.91i −0.379701 0.657662i
\(356\) −48.9378 84.7627i −0.00728566 0.0126191i
\(357\) 1369.52 + 4542.17i 0.203032 + 0.673381i
\(358\) −2992.35 + 5182.91i −0.441762 + 0.765154i
\(359\) 3307.94 0.486313 0.243156 0.969987i \(-0.421817\pi\)
0.243156 + 0.969987i \(0.421817\pi\)
\(360\) −1418.97 + 941.237i −0.207739 + 0.137799i
\(361\) 6608.97 0.963548
\(362\) 8638.41 14962.2i 1.25421 2.17236i
\(363\) 6224.71 + 1462.44i 0.900035 + 0.211455i
\(364\) 3272.17 + 5667.57i 0.471177 + 0.816103i
\(365\) −1088.59 1885.49i −0.156108 0.270387i
\(366\) 1815.56 + 426.550i 0.259292 + 0.0609183i
\(367\) −1474.65 + 2554.16i −0.209744 + 0.363287i −0.951634 0.307235i \(-0.900596\pi\)
0.741890 + 0.670522i \(0.233930\pi\)
\(368\) 1117.47 0.158294
\(369\) −7818.38 + 5186.13i −1.10300 + 0.731650i
\(370\) 2632.47 0.369880
\(371\) 2655.46 4599.40i 0.371603 0.643636i
\(372\) 502.206 + 1665.63i 0.0699951 + 0.232148i
\(373\) −581.790 1007.69i −0.0807612 0.139883i 0.822816 0.568308i \(-0.192402\pi\)
−0.903577 + 0.428425i \(0.859068\pi\)
\(374\) −1650.85 2859.36i −0.228245 0.395331i
\(375\) −3764.18 + 4005.46i −0.518351 + 0.551576i
\(376\) −3140.36 + 5439.25i −0.430722 + 0.746032i
\(377\) 1099.35 0.150184
\(378\) −1247.72 + 7327.17i −0.169778 + 0.997007i
\(379\) −4016.67 −0.544387 −0.272193 0.962243i \(-0.587749\pi\)
−0.272193 + 0.962243i \(0.587749\pi\)
\(380\) 2985.17 5170.47i 0.402990 0.697999i
\(381\) −3187.98 + 3392.32i −0.428675 + 0.456152i
\(382\) 5252.40 + 9097.42i 0.703497 + 1.21849i
\(383\) 5401.65 + 9355.93i 0.720656 + 1.24821i 0.960737 + 0.277460i \(0.0894926\pi\)
−0.240081 + 0.970753i \(0.577174\pi\)
\(384\) −2417.94 8019.39i −0.321328 1.06572i
\(385\) −280.977 + 486.666i −0.0371945 + 0.0644228i
\(386\) −5837.30 −0.769717
\(387\) 647.083 + 321.816i 0.0849950 + 0.0422708i
\(388\) 7347.93 0.961429
\(389\) −1032.29 + 1787.99i −0.134549 + 0.233045i −0.925425 0.378931i \(-0.876292\pi\)
0.790876 + 0.611976i \(0.209625\pi\)
\(390\) 4972.62 + 1168.27i 0.645637 + 0.151687i
\(391\) 1434.42 + 2484.49i 0.185529 + 0.321346i
\(392\) 1336.76 + 2315.33i 0.172236 + 0.298321i
\(393\) −8370.96 1966.68i −1.07445 0.252432i
\(394\) 5751.49 9961.87i 0.735421 1.27379i
\(395\) 2249.23 0.286509
\(396\) −186.642 3002.28i −0.0236846 0.380985i
\(397\) −7937.61 −1.00347 −0.501735 0.865022i \(-0.667305\pi\)
−0.501735 + 0.865022i \(0.667305\pi\)
\(398\) −5415.82 + 9380.47i −0.682086 + 1.18141i
\(399\) −2109.27 6995.65i −0.264650 0.877746i
\(400\) −1520.13 2632.94i −0.190016 0.329117i
\(401\) −1289.10 2232.79i −0.160536 0.278056i 0.774525 0.632543i \(-0.217989\pi\)
−0.935061 + 0.354487i \(0.884656\pi\)
\(402\) 10635.3 11317.0i 1.31950 1.40408i
\(403\) 731.602 1267.17i 0.0904310 0.156631i
\(404\) −6282.38 −0.773663
\(405\) 2035.67 + 2690.22i 0.249762 + 0.330069i
\(406\) −1198.78 −0.146538
\(407\) −651.931 + 1129.18i −0.0793981 + 0.137521i
\(408\) 3653.99 3888.20i 0.443381 0.471800i
\(409\) −2922.88 5062.57i −0.353367 0.612049i 0.633470 0.773767i \(-0.281630\pi\)
−0.986837 + 0.161718i \(0.948297\pi\)
\(410\) −3515.44 6088.92i −0.423451 0.733439i
\(411\) −3976.64 13189.0i −0.477258 1.58289i
\(412\) 5398.24 9350.03i 0.645515 1.11806i
\(413\) 101.415 0.0120830
\(414\) 278.877 + 4485.96i 0.0331064 + 0.532543i
\(415\) 458.912 0.0542822
\(416\) −5765.75 + 9986.56i −0.679541 + 1.17700i
\(417\) −3207.89 753.665i −0.376717 0.0885063i
\(418\) 2542.57 + 4403.86i 0.297515 + 0.515310i
\(419\) 4370.66 + 7570.20i 0.509596 + 0.882646i 0.999938 + 0.0111158i \(0.00353834\pi\)
−0.490343 + 0.871530i \(0.663128\pi\)
\(420\) −3153.21 740.818i −0.366336 0.0860672i
\(421\) −528.254 + 914.963i −0.0611533 + 0.105921i −0.894981 0.446104i \(-0.852811\pi\)
0.833828 + 0.552024i \(0.186145\pi\)
\(422\) −12175.6 −1.40450
\(423\) 11141.8 + 5541.21i 1.28070 + 0.636933i
\(424\) −5973.16 −0.684156
\(425\) 3902.56 6759.44i 0.445417 0.771484i
\(426\) 7198.58 + 23875.0i 0.818714 + 2.71537i
\(427\) 497.333 + 861.406i 0.0563645 + 0.0976261i
\(428\) 3134.09 + 5428.40i 0.353953 + 0.613065i
\(429\) −1732.59 + 1843.65i −0.194989 + 0.207487i
\(430\) −270.791 + 469.023i −0.0303690 + 0.0526007i
\(431\) 9868.64 1.10291 0.551457 0.834203i \(-0.314072\pi\)
0.551457 + 0.834203i \(0.314072\pi\)
\(432\) −3861.11 + 1431.02i −0.430018 + 0.159375i
\(433\) 477.948 0.0530456 0.0265228 0.999648i \(-0.491557\pi\)
0.0265228 + 0.999648i \(0.491557\pi\)
\(434\) −797.769 + 1381.78i −0.0882353 + 0.152828i
\(435\) −372.619 + 396.503i −0.0410706 + 0.0437031i
\(436\) −1253.34 2170.84i −0.137669 0.238450i
\(437\) −2209.24 3826.51i −0.241835 0.418871i
\(438\) 3085.50 + 10233.5i 0.336601 + 1.11638i
\(439\) 526.239 911.473i 0.0572119 0.0990939i −0.836001 0.548728i \(-0.815112\pi\)
0.893213 + 0.449634i \(0.148446\pi\)
\(440\) 632.024 0.0684786
\(441\) 4414.10 2927.98i 0.476633 0.316162i
\(442\) −16006.3 −1.72249
\(443\) 5249.35 9092.14i 0.562989 0.975126i −0.434245 0.900795i \(-0.642985\pi\)
0.997234 0.0743307i \(-0.0236820\pi\)
\(444\) −7316.18 1718.87i −0.782006 0.183725i
\(445\) −20.3718 35.2850i −0.00217015 0.00375881i
\(446\) 94.1300 + 163.038i 0.00999369 + 0.0173096i
\(447\) 17230.6 + 4048.18i 1.82322 + 0.428349i
\(448\) 4864.66 8425.85i 0.513022 0.888580i
\(449\) −7329.40 −0.770369 −0.385184 0.922840i \(-0.625862\pi\)
−0.385184 + 0.922840i \(0.625862\pi\)
\(450\) 10190.2 6759.44i 1.06749 0.708095i
\(451\) 3482.39 0.363591
\(452\) 3841.22 6653.18i 0.399725 0.692344i
\(453\) −2625.48 8707.72i −0.272308 0.903144i
\(454\) −1493.70 2587.17i −0.154412 0.267449i
\(455\) 1362.14 + 2359.30i 0.140347 + 0.243089i
\(456\) −5627.71 + 5988.43i −0.577942 + 0.614987i
\(457\) −3572.20 + 6187.23i −0.365646 + 0.633318i −0.988880 0.148718i \(-0.952485\pi\)
0.623233 + 0.782036i \(0.285819\pi\)
\(458\) 18775.9 1.91559
\(459\) −8137.86 6747.55i −0.827544 0.686163i
\(460\) −1958.71 −0.198533
\(461\) −2859.34 + 4952.53i −0.288878 + 0.500352i −0.973542 0.228507i \(-0.926616\pi\)
0.684664 + 0.728859i \(0.259949\pi\)
\(462\) 1889.29 2010.39i 0.190255 0.202450i
\(463\) −394.233 682.831i −0.0395714 0.0685397i 0.845561 0.533878i \(-0.179266\pi\)
−0.885133 + 0.465339i \(0.845933\pi\)
\(464\) −332.068 575.158i −0.0332238 0.0575454i
\(465\) 209.058 + 693.368i 0.0208491 + 0.0691488i
\(466\) −7577.91 + 13125.3i −0.753305 + 1.30476i
\(467\) −17068.0 −1.69125 −0.845626 0.533776i \(-0.820772\pi\)
−0.845626 + 0.533776i \(0.820772\pi\)
\(468\) −13057.1 6493.75i −1.28967 0.641397i
\(469\) 8282.72 0.815481
\(470\) −4662.63 + 8075.91i −0.457598 + 0.792583i
\(471\) −11020.1 2589.08i −1.07809 0.253288i
\(472\) −57.0302 98.7793i −0.00556150 0.00963280i
\(473\) −134.123 232.307i −0.0130380 0.0225824i
\(474\) −10749.6 2525.51i −1.04165 0.244727i
\(475\) −6010.56 + 10410.6i −0.580596 + 1.00562i
\(476\) 10149.8 0.977343
\(477\) 734.285 + 11811.6i 0.0704834 + 1.13378i
\(478\) 24674.4 2.36105
\(479\) −758.994 + 1314.62i −0.0723994 + 0.125399i −0.899952 0.435988i \(-0.856399\pi\)
0.827553 + 0.561388i \(0.189732\pi\)
\(480\) −1647.59 5464.43i −0.156670 0.519616i
\(481\) 3160.48 + 5474.11i 0.299596 + 0.518915i
\(482\) −14405.4 24950.9i −1.36130 2.35785i
\(483\) −1641.60 + 1746.82i −0.154649 + 0.164562i
\(484\) 6840.00 11847.2i 0.642374 1.11262i
\(485\) 3058.80 0.286377
\(486\) −6708.25 15142.8i −0.626116 1.41336i
\(487\) 12737.3 1.18518 0.592591 0.805503i \(-0.298105\pi\)
0.592591 + 0.805503i \(0.298105\pi\)
\(488\) 559.347 968.817i 0.0518861 0.0898694i
\(489\) 7787.30 8286.44i 0.720151 0.766310i
\(490\) 1984.74 + 3437.68i 0.182983 + 0.316936i
\(491\) −2823.85 4891.05i −0.259549 0.449552i 0.706572 0.707641i \(-0.250241\pi\)
−0.966121 + 0.258089i \(0.916907\pi\)
\(492\) 5794.38 + 19217.8i 0.530957 + 1.76099i
\(493\) 852.505 1476.58i 0.0778801 0.134892i
\(494\) 24652.1 2.24525
\(495\) −77.6952 1249.79i −0.00705483 0.113482i
\(496\) −883.945 −0.0800208
\(497\) −6649.78 + 11517.7i −0.600167 + 1.03952i
\(498\) −2193.24 515.281i −0.197352 0.0463661i
\(499\) −5423.14 9393.15i −0.486519 0.842676i 0.513361 0.858173i \(-0.328400\pi\)
−0.999880 + 0.0154970i \(0.995067\pi\)
\(500\) 5879.83 + 10184.2i 0.525908 + 0.910899i
\(501\) −9717.43 2283.02i −0.866553 0.203589i
\(502\) −9040.73 + 15659.0i −0.803800 + 1.39222i
\(503\) −12345.7 −1.09437 −0.547186 0.837011i \(-0.684301\pi\)
−0.547186 + 0.837011i \(0.684301\pi\)
\(504\) 3991.94 + 1985.32i 0.352808 + 0.175463i
\(505\) −2615.23 −0.230448
\(506\) 834.147 1444.79i 0.0732853 0.126934i
\(507\) 245.140 + 813.036i 0.0214734 + 0.0712193i
\(508\) 4979.77 + 8625.22i 0.434925 + 0.753311i
\(509\) 2947.87 + 5105.87i 0.256704 + 0.444624i 0.965357 0.260933i \(-0.0840302\pi\)
−0.708653 + 0.705557i \(0.750697\pi\)
\(510\) 5425.24 5772.98i 0.471046 0.501239i
\(511\) −2850.27 + 4936.82i −0.246749 + 0.427381i
\(512\) 10166.2 0.877514
\(513\) 12533.6 + 10392.3i 1.07870 + 0.894407i
\(514\) −14623.6 −1.25490
\(515\) 2247.18 3892.23i 0.192277 0.333033i
\(516\) 1058.83 1126.70i 0.0903344 0.0961245i
\(517\) −2309.40 4000.00i −0.196455 0.340270i
\(518\) −3446.32 5969.20i −0.292322 0.506316i
\(519\) 4754.74 + 15769.7i 0.402139 + 1.33374i
\(520\) 1531.99 2653.48i 0.129196 0.223775i
\(521\) 5211.51 0.438235 0.219118 0.975698i \(-0.429682\pi\)
0.219118 + 0.975698i \(0.429682\pi\)
\(522\) 2226.03 1476.58i 0.186649 0.123809i
\(523\) −9809.86 −0.820182 −0.410091 0.912045i \(-0.634503\pi\)
−0.410091 + 0.912045i \(0.634503\pi\)
\(524\) −9198.38 + 15932.1i −0.766857 + 1.32824i
\(525\) 6348.90 + 1491.62i 0.527788 + 0.123999i
\(526\) −14256.9 24693.7i −1.18181 2.04695i
\(527\) −1134.66 1965.29i −0.0937886 0.162447i
\(528\) 1487.90 + 349.569i 0.122638 + 0.0288126i
\(529\) 5358.71 9281.56i 0.440430 0.762847i
\(530\) −8868.62 −0.726846
\(531\) −188.319 + 124.917i −0.0153905 + 0.0102089i
\(532\) −15632.3 −1.27396
\(533\) 8441.11 14620.4i 0.685976 1.18814i
\(534\) 57.7420 + 191.509i 0.00467929 + 0.0155195i
\(535\) 1304.66 + 2259.73i 0.105430 + 0.182611i
\(536\) −4657.75 8067.47i −0.375344 0.650115i
\(537\) 4870.71 5182.91i 0.391409 0.416497i
\(538\) 6350.72 10999.8i 0.508920 0.881476i
\(539\) −1966.09 −0.157116
\(540\) 6767.75 2508.30i 0.539329 0.199889i
\(541\) 8084.25 0.642456 0.321228 0.947002i \(-0.395904\pi\)
0.321228 + 0.947002i \(0.395904\pi\)
\(542\) 2919.33 5056.43i 0.231358 0.400724i
\(543\) −14060.9 + 14962.2i −1.11125 + 1.18248i
\(544\) 8942.24 + 15488.4i 0.704771 + 1.22070i
\(545\) −521.738 903.677i −0.0410070 0.0710262i
\(546\) −3860.86 12805.0i −0.302618 1.00367i
\(547\) 12033.6 20842.7i 0.940617 1.62920i 0.176319 0.984333i \(-0.443581\pi\)
0.764298 0.644863i \(-0.223086\pi\)
\(548\) −29471.8 −2.29739
\(549\) −1984.54 986.976i −0.154277 0.0767270i
\(550\) −4538.84 −0.351885
\(551\) −1312.99 + 2274.17i −0.101516 + 0.175831i
\(552\) 2624.58 + 616.621i 0.202372 + 0.0475455i
\(553\) −2944.60 5100.20i −0.226433 0.392193i
\(554\) 18310.3 + 31714.4i 1.40421 + 2.43216i
\(555\) −3045.58 715.531i −0.232933 0.0547254i
\(556\) −3524.98 + 6105.44i −0.268871 + 0.465698i
\(557\) 4582.37 0.348584 0.174292 0.984694i \(-0.444236\pi\)
0.174292 + 0.984694i \(0.444236\pi\)
\(558\) −220.598 3548.49i −0.0167359 0.269211i
\(559\) −1300.42 −0.0983934
\(560\) 822.891 1425.29i 0.0620955 0.107553i
\(561\) 1132.72 + 3756.79i 0.0852466 + 0.282731i
\(562\) 11322.7 + 19611.6i 0.849860 + 1.47200i
\(563\) 1547.66 + 2680.62i 0.115854 + 0.200666i 0.918121 0.396300i \(-0.129706\pi\)
−0.802267 + 0.596966i \(0.796373\pi\)
\(564\) 18231.6 19400.2i 1.36115 1.44840i
\(565\) 1599.02 2769.59i 0.119064 0.206226i
\(566\) −13466.9 −1.00010
\(567\) 3435.13 8137.87i 0.254430 0.602749i
\(568\) 14957.9 1.10496
\(569\) −10282.5 + 17809.9i −0.757586 + 1.31218i 0.186492 + 0.982456i \(0.440288\pi\)
−0.944078 + 0.329721i \(0.893045\pi\)
\(570\) −8355.71 + 8891.29i −0.614004 + 0.653360i
\(571\) 584.992 + 1013.24i 0.0428742 + 0.0742602i 0.886666 0.462410i \(-0.153015\pi\)
−0.843792 + 0.536670i \(0.819682\pi\)
\(572\) 2706.39 + 4687.60i 0.197832 + 0.342655i
\(573\) −3603.88 11952.7i −0.262748 0.871435i
\(574\) −9204.54 + 15942.7i −0.669320 + 1.15930i
\(575\) 3943.80 0.286031
\(576\) 1345.17 + 21638.1i 0.0973069 + 1.56526i
\(577\) −13073.0 −0.943214 −0.471607 0.881809i \(-0.656326\pi\)
−0.471607 + 0.881809i \(0.656326\pi\)
\(578\) −1671.75 + 2895.55i −0.120304 + 0.208372i
\(579\) 6753.35 + 1586.64i 0.484731 + 0.113883i
\(580\) 582.049 + 1008.14i 0.0416694 + 0.0721735i
\(581\) −600.789 1040.60i −0.0429000 0.0743050i
\(582\) −14618.6 3434.51i −1.04117 0.244614i
\(583\) 2196.31 3804.13i 0.156024 0.270242i
\(584\) 6411.36 0.454287
\(585\) −5435.42 2703.22i −0.384149 0.191050i
\(586\) 15954.0 1.12466
\(587\) 7273.91 12598.8i 0.511459 0.885873i −0.488453 0.872590i \(-0.662439\pi\)
0.999912 0.0132825i \(-0.00422807\pi\)
\(588\) −3271.39 10850.0i −0.229438 0.760961i
\(589\) 1747.55 + 3026.85i 0.122252 + 0.211747i
\(590\) −84.6754 146.662i −0.00590852 0.0102339i
\(591\) −9361.80 + 9961.87i −0.651596 + 0.693361i
\(592\) 1909.30 3307.00i 0.132554 0.229589i
\(593\) 19018.0 1.31699 0.658494 0.752586i \(-0.271194\pi\)
0.658494 + 0.752586i \(0.271194\pi\)
\(594\) −1031.98 + 6060.24i −0.0712840 + 0.418611i
\(595\) 4225.16 0.291117
\(596\) 18933.8 32794.3i 1.30127 2.25387i
\(597\) 8815.43 9380.47i 0.604341 0.643077i
\(598\) −4043.84 7004.14i −0.276530 0.478964i
\(599\) −5587.20 9677.32i −0.381113 0.660108i 0.610108 0.792318i \(-0.291126\pi\)
−0.991222 + 0.132210i \(0.957793\pi\)
\(600\) −2117.42 7022.70i −0.144073 0.477834i
\(601\) −2294.27 + 3973.79i −0.155716 + 0.269708i −0.933319 0.359047i \(-0.883102\pi\)
0.777604 + 0.628755i \(0.216435\pi\)
\(602\) 1418.03 0.0960045
\(603\) −15380.3 + 10202.2i −1.03870 + 0.688995i
\(604\) −19458.0 −1.31082
\(605\) 2847.35 4931.76i 0.191341 0.331413i
\(606\) 12498.7 + 2936.46i 0.837832 + 0.196841i
\(607\) 5744.99 + 9950.61i 0.384155 + 0.665375i 0.991652 0.128947i \(-0.0411596\pi\)
−0.607497 + 0.794322i \(0.707826\pi\)
\(608\) −13772.5 23854.6i −0.918662 1.59117i
\(609\) 1386.90 + 325.840i 0.0922825 + 0.0216809i
\(610\) 830.487 1438.45i 0.0551237 0.0954770i
\(611\) −22391.4 −1.48258
\(612\) −18847.4 + 12501.9i −1.24487 + 0.825752i
\(613\) −22966.9 −1.51326 −0.756628 0.653846i \(-0.773154\pi\)
−0.756628 + 0.653846i \(0.773154\pi\)
\(614\) 7518.69 13022.7i 0.494185 0.855953i
\(615\) 2412.08 + 7999.98i 0.158154 + 0.524537i
\(616\) −827.420 1433.13i −0.0541197 0.0937380i
\(617\) 4248.31 + 7358.29i 0.277197 + 0.480120i 0.970687 0.240347i \(-0.0772612\pi\)
−0.693490 + 0.720466i \(0.743928\pi\)
\(618\) −15110.1 + 16078.6i −0.983521 + 1.04656i
\(619\) −7169.94 + 12418.7i −0.465564 + 0.806381i −0.999227 0.0393163i \(-0.987482\pi\)
0.533662 + 0.845698i \(0.320815\pi\)
\(620\) 1549.38 0.100362
\(621\) 896.688 5265.74i 0.0579434 0.340269i
\(622\) 31372.6 2.02239
\(623\) −53.3399 + 92.3874i −0.00343021 + 0.00594129i
\(624\) 5074.21 5399.46i 0.325531 0.346396i
\(625\) −4026.36 6973.86i −0.257687 0.446327i
\(626\) 10618.7 + 18392.2i 0.677971 + 1.17428i
\(627\) −1744.56 5786.05i −0.111118 0.368537i
\(628\) −12109.4 + 20974.1i −0.769456 + 1.33274i
\(629\) 9803.34 0.621439
\(630\) 5927.01 + 2947.70i 0.374822 + 0.186411i
\(631\) 17834.3 1.12516 0.562578 0.826744i \(-0.309810\pi\)
0.562578 + 0.826744i \(0.309810\pi\)
\(632\) −3311.77 + 5736.16i −0.208442 + 0.361032i
\(633\) 14086.3 + 3309.46i 0.884489 + 0.207803i
\(634\) −16500.8 28580.3i −1.03365 1.79033i
\(635\) 2072.98 + 3590.51i 0.129549 + 0.224386i
\(636\) 24647.8 + 5790.77i 1.53671 + 0.361036i
\(637\) −4765.68 + 8254.39i −0.296425 + 0.513424i
\(638\) −991.499 −0.0615264
\(639\) −1838.79 29578.3i −0.113836 1.83114i
\(640\) −7459.69 −0.460735
\(641\) −13173.0 + 22816.3i −0.811705 + 1.40591i 0.0999654 + 0.994991i \(0.468127\pi\)
−0.911670 + 0.410923i \(0.865207\pi\)
\(642\) −3697.93 12264.7i −0.227330 0.753968i
\(643\) 10782.5 + 18675.9i 0.661309 + 1.14542i 0.980272 + 0.197653i \(0.0633321\pi\)
−0.318963 + 0.947767i \(0.603335\pi\)
\(644\) 2564.26 + 4441.43i 0.156904 + 0.271765i
\(645\) 440.771 469.023i 0.0269075 0.0286322i
\(646\) 19116.8 33111.3i 1.16431 2.01664i
\(647\) 4186.32 0.254376 0.127188 0.991879i \(-0.459405\pi\)
0.127188 + 0.991879i \(0.459405\pi\)
\(648\) −9858.11 + 1230.45i −0.597629 + 0.0745934i
\(649\) 83.8794 0.00507328
\(650\) −11001.9 + 19055.8i −0.663891 + 1.14989i
\(651\) 1298.54 1381.78i 0.0781781 0.0831891i
\(652\) −12164.1 21068.9i −0.730650 1.26552i
\(653\) −1402.57 2429.33i −0.0840534 0.145585i 0.820934 0.571023i \(-0.193453\pi\)
−0.904987 + 0.425438i \(0.860120\pi\)
\(654\) 1478.82 + 4904.69i 0.0884196 + 0.293255i
\(655\) −3829.10 + 6632.20i −0.228420 + 0.395636i
\(656\) −10198.8 −0.607008
\(657\) −788.153 12678.1i −0.0468018 0.752844i
\(658\) 24416.5 1.44659
\(659\) 9536.15 16517.1i 0.563696 0.976350i −0.433474 0.901166i \(-0.642712\pi\)
0.997170 0.0751839i \(-0.0239544\pi\)
\(660\) −2608.00 612.725i −0.153812 0.0361368i
\(661\) 12256.5 + 21228.9i 0.721216 + 1.24918i 0.960513 + 0.278237i \(0.0897500\pi\)
−0.239296 + 0.970947i \(0.576917\pi\)
\(662\) 6842.00 + 11850.7i 0.401695 + 0.695756i
\(663\) 18518.1 + 4350.66i 1.08474 + 0.254850i
\(664\) −675.702 + 1170.35i −0.0394915 + 0.0684012i
\(665\) −6507.40 −0.379468
\(666\) 13752.0 + 6839.35i 0.800122 + 0.397927i
\(667\) 861.513 0.0500119
\(668\) −10678.0 + 18494.8i −0.618477 + 1.07123i
\(669\) −64.5864 214.209i −0.00373252 0.0123794i
\(670\) −6915.58 11978.1i −0.398764 0.690680i
\(671\) 411.340 + 712.462i 0.0236656 + 0.0409900i
\(672\) −10233.8 + 10889.8i −0.587467 + 0.625122i
\(673\) 1773.32 3071.49i 0.101570 0.175924i −0.810762 0.585376i \(-0.800947\pi\)
0.912332 + 0.409452i \(0.134280\pi\)
\(674\) −40356.1 −2.30632
\(675\) −13626.7 + 5050.38i −0.777023 + 0.287984i
\(676\) 1816.79 0.103367
\(677\) −8937.50 + 15480.2i −0.507380 + 0.878807i 0.492584 + 0.870265i \(0.336052\pi\)
−0.999964 + 0.00854232i \(0.997281\pi\)
\(678\) −10751.8 + 11441.0i −0.609030 + 0.648067i
\(679\) −4004.45 6935.91i −0.226328 0.392012i
\(680\) −2376.00 4115.35i −0.133993 0.232083i
\(681\) 1024.89 + 3399.18i 0.0576709 + 0.191273i
\(682\) −659.829 + 1142.86i −0.0370471 + 0.0641675i
\(683\) 2857.23 0.160072 0.0800358 0.996792i \(-0.474497\pi\)
0.0800358 + 0.996792i \(0.474497\pi\)
\(684\) 29027.9 19254.9i 1.62267 1.07636i
\(685\) −12268.5 −0.684315
\(686\) 14282.5 24737.9i 0.794908 1.37682i
\(687\) −21722.4 5103.48i −1.20635 0.283421i
\(688\) 392.803 + 680.354i 0.0217667 + 0.0377010i
\(689\) −10647.5 18441.9i −0.588732 1.01971i
\(690\) 3896.83 + 915.524i 0.215000 + 0.0505122i
\(691\) 7813.79 13533.9i 0.430175 0.745084i −0.566714 0.823915i \(-0.691785\pi\)
0.996888 + 0.0788308i \(0.0251187\pi\)
\(692\) 35238.5 1.93579
\(693\) −2732.22 + 1812.35i −0.149767 + 0.0993441i
\(694\) −35434.7 −1.93816
\(695\) −1467.38 + 2541.57i −0.0800874 + 0.138716i
\(696\) −462.546 1534.09i −0.0251908 0.0835483i
\(697\) −13091.5 22675.2i −0.711445 1.23226i
\(698\) −6725.49 11648.9i −0.364704 0.631687i
\(699\) 12334.7 13125.3i 0.667442 0.710223i
\(700\) 6976.45 12083.6i 0.376693 0.652451i
\(701\) 17562.6 0.946264 0.473132 0.880992i \(-0.343123\pi\)
0.473132 + 0.880992i \(0.343123\pi\)
\(702\) 22941.8 + 19022.3i 1.23345 + 1.02272i
\(703\) −15098.7 −0.810039
\(704\) 4023.53 6968.95i 0.215401 0.373086i
\(705\) 7589.44 8075.91i 0.405440 0.431427i
\(706\) 13445.0 + 23287.3i 0.716724 + 1.24140i
\(707\) 3423.75 + 5930.11i 0.182126 + 0.315452i
\(708\) 139.568 + 462.893i 0.00740858 + 0.0245715i
\(709\) −10001.8 + 17323.6i −0.529795 + 0.917632i 0.469601 + 0.882879i \(0.344398\pi\)
−0.999396 + 0.0347532i \(0.988935\pi\)
\(710\) 22208.7 1.17391
\(711\) 11750.0 + 5843.68i 0.619775 + 0.308235i
\(712\) 119.982 0.00631533
\(713\) 573.324 993.027i 0.0301138 0.0521587i
\(714\) −20192.9 4744.14i −1.05840 0.248663i
\(715\) 1126.62 + 1951.36i 0.0589273 + 0.102065i
\(716\) −7608.27 13177.9i −0.397115 0.687824i
\(717\) −28546.6 6706.75i −1.48688 0.349328i
\(718\) −7231.62 + 12525.5i −0.375880 + 0.651043i
\(719\) 25504.1 1.32287 0.661435 0.750002i \(-0.269948\pi\)
0.661435 + 0.750002i \(0.269948\pi\)
\(720\) 227.545 + 3660.24i 0.0117779 + 0.189457i
\(721\) −11767.7 −0.607837
\(722\) −14448.1 + 25024.9i −0.744743 + 1.28993i
\(723\) 9884.14 + 32782.0i 0.508430 + 1.68627i
\(724\) 21963.8 + 38042.4i 1.12746 + 1.95281i
\(725\) −1171.94 2029.85i −0.0600340 0.103982i
\(726\) −19145.6 + 20372.8i −0.978735 + 1.04147i
\(727\) 11954.9 20706.5i 0.609879 1.05634i −0.381380 0.924418i \(-0.624551\pi\)
0.991260 0.131924i \(-0.0421155\pi\)
\(728\) −8022.47 −0.408424
\(729\) 3645.00 + 19342.6i 0.185185 + 0.982704i
\(730\) 9519.23 0.482634
\(731\) −1008.43 + 1746.65i −0.0510233 + 0.0883750i
\(732\) −3247.33 + 3455.48i −0.163968 + 0.174478i
\(733\) 4252.77 + 7366.02i 0.214297 + 0.371173i 0.953055 0.302798i \(-0.0979206\pi\)
−0.738758 + 0.673971i \(0.764587\pi\)
\(734\) −6447.57 11167.5i −0.324229 0.561581i
\(735\) −1361.81 4516.62i −0.0683418 0.226664i
\(736\) −4518.36 + 7826.04i −0.226290 + 0.391945i
\(737\) 6850.57 0.342394
\(738\) −2545.22 40942.0i −0.126953 2.04213i
\(739\) 25802.5 1.28438 0.642192 0.766544i \(-0.278025\pi\)
0.642192 + 0.766544i \(0.278025\pi\)
\(740\) −3346.62 + 5796.52i −0.166249 + 0.287952i
\(741\) −28520.8 6700.70i −1.41395 0.332195i
\(742\) 11610.4 + 20109.9i 0.574437 + 0.994955i
\(743\) −13668.8 23675.0i −0.674911 1.16898i −0.976495 0.215541i \(-0.930849\pi\)
0.301584 0.953440i \(-0.402485\pi\)
\(744\) −2076.10 487.760i −0.102303 0.0240352i
\(745\) 7881.75 13651.6i 0.387604 0.671350i
\(746\) 5087.50 0.249687
\(747\) 2397.36 + 1192.29i 0.117423 + 0.0583983i
\(748\) 8394.82 0.410354
\(749\) 3416.01 5916.71i 0.166647 0.288641i
\(750\) −6937.65 23009.6i −0.337770 1.12026i
\(751\) −1668.32 2889.61i −0.0810623 0.140404i 0.822644 0.568557i \(-0.192498\pi\)
−0.903706 + 0.428153i \(0.859165\pi\)
\(752\) 6763.50 + 11714.7i 0.327978 + 0.568075i
\(753\) 14715.8 15659.0i 0.712181 0.757830i
\(754\) −2403.33 + 4162.70i −0.116080 + 0.201056i
\(755\) −8099.98 −0.390448
\(756\) −14547.7 12062.3i −0.699861 0.580294i
\(757\) 33149.5 1.59160 0.795798 0.605562i \(-0.207052\pi\)
0.795798 + 0.605562i \(0.207052\pi\)
\(758\) 8781.01 15209.2i 0.420766 0.728788i
\(759\) −1357.76 + 1444.79i −0.0649321 + 0.0690940i
\(760\) 3659.41 + 6338.29i 0.174659 + 0.302518i
\(761\) 5498.42 + 9523.54i 0.261915 + 0.453651i 0.966751 0.255720i \(-0.0823125\pi\)
−0.704836 + 0.709371i \(0.748979\pi\)
\(762\) −5875.67 19487.4i −0.279335 0.926448i
\(763\) −1366.08 + 2366.12i −0.0648169 + 0.112266i
\(764\) −26709.2 −1.26480
\(765\) −7845.77 + 5204.30i −0.370803 + 0.245963i
\(766\) −47235.0 −2.22803
\(767\) 203.319 352.158i 0.00957159 0.0165785i
\(768\) 3157.79 + 741.894i 0.148368 + 0.0348578i
\(769\) −16642.5 28825.6i −0.780420 1.35173i −0.931697 0.363236i \(-0.881672\pi\)
0.151277 0.988491i \(-0.451661\pi\)
\(770\) −1228.51 2127.84i −0.0574966 0.0995870i
\(771\) 16918.5 + 3974.85i 0.790279 + 0.185669i