Properties

Label 43.4.e.a.11.6
Level $43$
Weight $4$
Character 43.11
Analytic conductor $2.537$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 43.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.53708213025\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(10\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 11.6
Character \(\chi\) \(=\) 43.11
Dual form 43.4.e.a.4.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.208948 + 0.262012i) q^{2} +(-0.805279 + 1.00979i) q^{3} +(1.75518 - 7.68993i) q^{4} +(8.19351 - 3.94579i) q^{5} -0.432838 q^{6} +17.7083 q^{7} +(4.79710 - 2.31016i) q^{8} +(5.63687 + 24.6967i) q^{9} +O(q^{10})\) \(q+(0.208948 + 0.262012i) q^{2} +(-0.805279 + 1.00979i) q^{3} +(1.75518 - 7.68993i) q^{4} +(8.19351 - 3.94579i) q^{5} -0.432838 q^{6} +17.7083 q^{7} +(4.79710 - 2.31016i) q^{8} +(5.63687 + 24.6967i) q^{9} +(2.74586 + 1.32234i) q^{10} +(-9.75744 - 42.7502i) q^{11} +(6.35180 + 7.96490i) q^{12} +(-33.3974 + 16.0833i) q^{13} +(3.70012 + 4.63980i) q^{14} +(-2.61366 + 11.4512i) q^{15} +(-55.2449 - 26.6045i) q^{16} +(-3.61083 - 1.73889i) q^{17} +(-5.29303 + 6.63725i) q^{18} +(-14.3847 + 63.0235i) q^{19} +(-15.9618 - 69.9331i) q^{20} +(-14.2602 + 17.8817i) q^{21} +(9.16226 - 11.4891i) q^{22} +(36.5478 + 160.126i) q^{23} +(-1.53023 + 6.70438i) q^{24} +(-26.3718 + 33.0692i) q^{25} +(-11.1923 - 5.38995i) q^{26} +(-60.8966 - 29.3263i) q^{27} +(31.0813 - 136.176i) q^{28} +(-136.501 - 171.167i) q^{29} +(-3.54646 + 1.70789i) q^{30} +(157.188 + 197.108i) q^{31} +(-14.0509 - 61.5609i) q^{32} +(51.0261 + 24.5729i) q^{33} +(-0.298866 - 1.30942i) q^{34} +(145.094 - 69.8734i) q^{35} +199.810 q^{36} +83.8311 q^{37} +(-19.5186 + 9.39965i) q^{38} +(10.6535 - 46.6759i) q^{39} +(30.1897 - 37.8567i) q^{40} +(-59.4906 - 74.5988i) q^{41} -7.66485 q^{42} +(273.246 + 69.5953i) q^{43} -345.872 q^{44} +(143.634 + 180.111i) q^{45} +(-34.3184 + 43.0339i) q^{46} +(40.1847 - 176.061i) q^{47} +(71.3525 - 34.3616i) q^{48} -29.4144 q^{49} -14.1749 q^{50} +(4.66364 - 2.24589i) q^{51} +(65.0615 + 285.053i) q^{52} +(-361.525 - 174.101i) q^{53} +(-5.04037 - 22.0833i) q^{54} +(-248.631 - 311.773i) q^{55} +(84.9487 - 40.9091i) q^{56} +(-52.0567 - 65.2770i) q^{57} +(16.3263 - 71.5300i) q^{58} +(-150.434 - 72.4452i) q^{59} +(83.4713 + 40.1977i) q^{60} +(-520.330 + 652.473i) q^{61} +(-18.8005 + 82.3706i) q^{62} +(99.8196 + 437.338i) q^{63} +(-292.651 + 366.973i) q^{64} +(-210.181 + 263.558i) q^{65} +(4.22339 + 18.5039i) q^{66} +(144.966 - 635.138i) q^{67} +(-19.7096 + 24.7150i) q^{68} +(-191.125 - 92.0408i) q^{69} +(48.6246 + 23.4164i) q^{70} +(-10.6342 + 46.5914i) q^{71} +(84.0940 + 105.451i) q^{72} +(688.295 - 331.466i) q^{73} +(17.5163 + 21.9648i) q^{74} +(-12.1562 - 53.2599i) q^{75} +(459.399 + 221.235i) q^{76} +(-172.788 - 757.035i) q^{77} +(14.4557 - 6.96149i) q^{78} +395.977 q^{79} -557.626 q^{80} +(-537.575 + 258.882i) q^{81} +(7.11537 - 31.1745i) q^{82} +(264.118 - 331.193i) q^{83} +(112.480 + 141.045i) q^{84} -36.4467 q^{85} +(38.8593 + 86.1356i) q^{86} +282.764 q^{87} +(-145.567 - 182.535i) q^{88} +(766.874 - 961.630i) q^{89} +(-17.1793 + 75.2676i) q^{90} +(-591.413 + 284.810i) q^{91} +1295.51 q^{92} -325.618 q^{93} +(54.5266 - 26.2586i) q^{94} +(130.816 + 573.143i) q^{95} +(73.4783 + 35.3853i) q^{96} +(83.2763 + 364.857i) q^{97} +(-6.14608 - 7.70694i) q^{98} +(1000.79 - 481.954i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60q - 9q^{2} - 3q^{3} - 31q^{4} - 23q^{5} + 16q^{6} + 96q^{7} + 61q^{8} - 177q^{9} + O(q^{10}) \) \( 60q - 9q^{2} - 3q^{3} - 31q^{4} - 23q^{5} + 16q^{6} + 96q^{7} + 61q^{8} - 177q^{9} - 61q^{10} + 83q^{11} + 33q^{12} + 107q^{13} - 299q^{14} + 109q^{15} + 41q^{16} + 181q^{17} - 414q^{18} + 284q^{19} - 363q^{20} - 88q^{21} + 421q^{22} + 231q^{23} - 937q^{24} + 213q^{25} + 139q^{26} - 27q^{27} + 29q^{28} - 367q^{29} + 1244q^{30} - 319q^{31} + 435q^{32} - 2594q^{33} - 583q^{34} - 902q^{35} + 1552q^{36} + 1020q^{37} + 1251q^{38} - 1571q^{39} + 1263q^{40} + 293q^{41} - 1830q^{42} + 1661q^{43} + 6512q^{44} + 1019q^{45} - 2786q^{46} - 287q^{47} - 95q^{48} + 772q^{49} - 282q^{50} + 1524q^{51} - 1511q^{52} - 1505q^{53} - 3489q^{54} - 1735q^{55} - 1237q^{56} + 1055q^{57} + 335q^{58} + 571q^{59} - 101q^{60} - 339q^{61} + 923q^{62} - 702q^{63} - 5163q^{64} + 2463q^{65} + 985q^{66} - 241q^{67} + 2904q^{68} + 2711q^{69} - 7698q^{70} - 2431q^{71} - 4340q^{72} - 2157q^{73} - 1294q^{74} - 242q^{75} - 4272q^{76} - 3962q^{77} - 2860q^{78} + 1092q^{79} + 11618q^{80} + 12060q^{81} + 4023q^{82} - 2664q^{83} + 3334q^{84} - 3446q^{85} + 10055q^{86} + 11874q^{87} + 9957q^{88} - 5811q^{89} - 1612q^{90} - 760q^{91} + 2120q^{92} + 3994q^{93} + 6057q^{94} + 379q^{95} - 2044q^{96} - 5509q^{97} - 9041q^{98} - 2012q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.208948 + 0.262012i 0.0738742 + 0.0926353i 0.817395 0.576077i \(-0.195417\pi\)
−0.743521 + 0.668712i \(0.766846\pi\)
\(3\) −0.805279 + 1.00979i −0.154976 + 0.194334i −0.853258 0.521489i \(-0.825377\pi\)
0.698282 + 0.715823i \(0.253948\pi\)
\(4\) 1.75518 7.68993i 0.219397 0.961241i
\(5\) 8.19351 3.94579i 0.732850 0.352922i −0.0299543 0.999551i \(-0.509536\pi\)
0.762804 + 0.646629i \(0.223822\pi\)
\(6\) −0.432838 −0.0294509
\(7\) 17.7083 0.956161 0.478080 0.878316i \(-0.341333\pi\)
0.478080 + 0.878316i \(0.341333\pi\)
\(8\) 4.79710 2.31016i 0.212004 0.102096i
\(9\) 5.63687 + 24.6967i 0.208773 + 0.914694i
\(10\) 2.74586 + 1.32234i 0.0868317 + 0.0418160i
\(11\) −9.75744 42.7502i −0.267453 1.17179i −0.912965 0.408037i \(-0.866213\pi\)
0.645512 0.763750i \(-0.276644\pi\)
\(12\) 6.35180 + 7.96490i 0.152800 + 0.191606i
\(13\) −33.3974 + 16.0833i −0.712521 + 0.343132i −0.754783 0.655974i \(-0.772258\pi\)
0.0422618 + 0.999107i \(0.486544\pi\)
\(14\) 3.70012 + 4.63980i 0.0706356 + 0.0885742i
\(15\) −2.61366 + 11.4512i −0.0449896 + 0.197112i
\(16\) −55.2449 26.6045i −0.863201 0.415696i
\(17\) −3.61083 1.73889i −0.0515150 0.0248083i 0.407949 0.913005i \(-0.366244\pi\)
−0.459464 + 0.888196i \(0.651958\pi\)
\(18\) −5.29303 + 6.63725i −0.0693100 + 0.0869120i
\(19\) −14.3847 + 63.0235i −0.173688 + 0.760978i 0.810771 + 0.585364i \(0.199048\pi\)
−0.984459 + 0.175614i \(0.943809\pi\)
\(20\) −15.9618 69.9331i −0.178458 0.781876i
\(21\) −14.2602 + 17.8817i −0.148182 + 0.185814i
\(22\) 9.16226 11.4891i 0.0887910 0.111340i
\(23\) 36.5478 + 160.126i 0.331336 + 1.45168i 0.816546 + 0.577281i \(0.195886\pi\)
−0.485209 + 0.874398i \(0.661257\pi\)
\(24\) −1.53023 + 6.70438i −0.0130149 + 0.0570219i
\(25\) −26.3718 + 33.0692i −0.210974 + 0.264553i
\(26\) −11.1923 5.38995i −0.0844230 0.0406560i
\(27\) −60.8966 29.3263i −0.434058 0.209031i
\(28\) 31.0813 136.176i 0.209779 0.919101i
\(29\) −136.501 171.167i −0.874057 1.09603i −0.994647 0.103331i \(-0.967050\pi\)
0.120590 0.992702i \(-0.461521\pi\)
\(30\) −3.54646 + 1.70789i −0.0215831 + 0.0103939i
\(31\) 157.188 + 197.108i 0.910706 + 1.14199i 0.989418 + 0.145092i \(0.0463477\pi\)
−0.0787124 + 0.996897i \(0.525081\pi\)
\(32\) −14.0509 61.5609i −0.0776208 0.340079i
\(33\) 51.0261 + 24.5729i 0.269167 + 0.129624i
\(34\) −0.298866 1.30942i −0.00150750 0.00660480i
\(35\) 145.094 69.8734i 0.700723 0.337450i
\(36\) 199.810 0.925045
\(37\) 83.8311 0.372480 0.186240 0.982504i \(-0.440370\pi\)
0.186240 + 0.982504i \(0.440370\pi\)
\(38\) −19.5186 + 9.39965i −0.0833245 + 0.0401270i
\(39\) 10.6535 46.6759i 0.0437416 0.191644i
\(40\) 30.1897 37.8567i 0.119335 0.149642i
\(41\) −59.4906 74.5988i −0.226606 0.284156i 0.655510 0.755186i \(-0.272454\pi\)
−0.882117 + 0.471031i \(0.843882\pi\)
\(42\) −7.66485 −0.0281598
\(43\) 273.246 + 69.5953i 0.969062 + 0.246818i
\(44\) −345.872 −1.18505
\(45\) 143.634 + 180.111i 0.475815 + 0.596653i
\(46\) −34.3184 + 43.0339i −0.109999 + 0.137935i
\(47\) 40.1847 176.061i 0.124714 0.546407i −0.873509 0.486809i \(-0.838161\pi\)
0.998222 0.0595981i \(-0.0189819\pi\)
\(48\) 71.3525 34.3616i 0.214559 0.103326i
\(49\) −29.4144 −0.0857564
\(50\) −14.1749 −0.0400925
\(51\) 4.66364 2.24589i 0.0128047 0.00616642i
\(52\) 65.0615 + 285.053i 0.173508 + 0.760187i
\(53\) −361.525 174.101i −0.936967 0.451220i −0.0978689 0.995199i \(-0.531203\pi\)
−0.839098 + 0.543980i \(0.816917\pi\)
\(54\) −5.04037 22.0833i −0.0127020 0.0556511i
\(55\) −248.631 311.773i −0.609552 0.764354i
\(56\) 84.9487 40.9091i 0.202710 0.0976199i
\(57\) −52.0567 65.2770i −0.120966 0.151687i
\(58\) 16.3263 71.5300i 0.0369611 0.161937i
\(59\) −150.434 72.4452i −0.331946 0.159857i 0.260485 0.965478i \(-0.416118\pi\)
−0.592431 + 0.805621i \(0.701832\pi\)
\(60\) 83.4713 + 40.1977i 0.179602 + 0.0864916i
\(61\) −520.330 + 652.473i −1.09215 + 1.36952i −0.168764 + 0.985656i \(0.553978\pi\)
−0.923390 + 0.383862i \(0.874594\pi\)
\(62\) −18.8005 + 82.3706i −0.0385108 + 0.168727i
\(63\) 99.8196 + 437.338i 0.199620 + 0.874594i
\(64\) −292.651 + 366.973i −0.571585 + 0.716744i
\(65\) −210.181 + 263.558i −0.401072 + 0.502929i
\(66\) 4.22339 + 18.5039i 0.00787672 + 0.0345102i
\(67\) 144.966 635.138i 0.264335 1.15813i −0.652161 0.758081i \(-0.726137\pi\)
0.916495 0.400045i \(-0.131006\pi\)
\(68\) −19.7096 + 24.7150i −0.0351490 + 0.0440755i
\(69\) −191.125 92.0408i −0.333460 0.160586i
\(70\) 48.6246 + 23.4164i 0.0830251 + 0.0399828i
\(71\) −10.6342 + 46.5914i −0.0177753 + 0.0778786i −0.983038 0.183404i \(-0.941288\pi\)
0.965262 + 0.261283i \(0.0841455\pi\)
\(72\) 84.0940 + 105.451i 0.137647 + 0.172604i
\(73\) 688.295 331.466i 1.10355 0.531440i 0.208775 0.977964i \(-0.433052\pi\)
0.894772 + 0.446524i \(0.147338\pi\)
\(74\) 17.5163 + 21.9648i 0.0275166 + 0.0345048i
\(75\) −12.1562 53.2599i −0.0187157 0.0819989i
\(76\) 459.399 + 221.235i 0.693377 + 0.333913i
\(77\) −172.788 757.035i −0.255728 1.12042i
\(78\) 14.4557 6.96149i 0.0209844 0.0101056i
\(79\) 395.977 0.563936 0.281968 0.959424i \(-0.409013\pi\)
0.281968 + 0.959424i \(0.409013\pi\)
\(80\) −557.626 −0.779305
\(81\) −537.575 + 258.882i −0.737414 + 0.355120i
\(82\) 7.11537 31.1745i 0.00958246 0.0419835i
\(83\) 264.118 331.193i 0.349285 0.437990i −0.575892 0.817526i \(-0.695345\pi\)
0.925177 + 0.379536i \(0.123916\pi\)
\(84\) 112.480 + 141.045i 0.146102 + 0.183206i
\(85\) −36.4467 −0.0465082
\(86\) 38.8593 + 86.1356i 0.0487245 + 0.108003i
\(87\) 282.764 0.348454
\(88\) −145.567 182.535i −0.176335 0.221118i
\(89\) 766.874 961.630i 0.913354 1.14531i −0.0756076 0.997138i \(-0.524090\pi\)
0.988962 0.148172i \(-0.0473389\pi\)
\(90\) −17.1793 + 75.2676i −0.0201207 + 0.0881545i
\(91\) −591.413 + 284.810i −0.681285 + 0.328090i
\(92\) 1295.51 1.46811
\(93\) −325.618 −0.363065
\(94\) 54.5266 26.2586i 0.0598297 0.0288124i
\(95\) 130.816 + 573.143i 0.141278 + 0.618981i
\(96\) 73.4783 + 35.3853i 0.0781182 + 0.0376198i
\(97\) 83.2763 + 364.857i 0.0871694 + 0.381914i 0.999629 0.0272537i \(-0.00867621\pi\)
−0.912459 + 0.409168i \(0.865819\pi\)
\(98\) −6.14608 7.70694i −0.00633518 0.00794406i
\(99\) 1000.79 481.954i 1.01599 0.489275i
\(100\) 208.013 + 260.839i 0.208013 + 0.260839i
\(101\) 88.7680 388.918i 0.0874529 0.383156i −0.912193 0.409761i \(-0.865612\pi\)
0.999646 + 0.0266042i \(0.00846939\pi\)
\(102\) 1.56291 + 0.752656i 0.00151716 + 0.000730628i
\(103\) −235.979 113.641i −0.225744 0.108713i 0.317593 0.948227i \(-0.397125\pi\)
−0.543338 + 0.839514i \(0.682840\pi\)
\(104\) −123.056 + 154.307i −0.116025 + 0.145491i
\(105\) −46.2835 + 202.781i −0.0430173 + 0.188471i
\(106\) −29.9232 131.102i −0.0274188 0.120130i
\(107\) 407.293 510.729i 0.367986 0.461439i −0.563021 0.826443i \(-0.690361\pi\)
0.931006 + 0.365004i \(0.118932\pi\)
\(108\) −332.401 + 416.818i −0.296160 + 0.371373i
\(109\) 118.059 + 517.252i 0.103744 + 0.454530i 0.999941 + 0.0108745i \(0.00346154\pi\)
−0.896197 + 0.443656i \(0.853681\pi\)
\(110\) 29.7375 130.289i 0.0257760 0.112932i
\(111\) −67.5075 + 84.6517i −0.0577255 + 0.0723855i
\(112\) −978.295 471.122i −0.825359 0.397472i
\(113\) −1573.62 757.817i −1.31004 0.630880i −0.357104 0.934065i \(-0.616236\pi\)
−0.952932 + 0.303184i \(0.901950\pi\)
\(114\) 6.22625 27.2790i 0.00511528 0.0224115i
\(115\) 931.279 + 1167.79i 0.755149 + 0.946927i
\(116\) −1555.85 + 749.257i −1.24532 + 0.599713i
\(117\) −585.463 734.147i −0.462616 0.580102i
\(118\) −12.4513 54.5528i −0.00971387 0.0425592i
\(119\) −63.9419 30.7928i −0.0492567 0.0237208i
\(120\) 13.9161 + 60.9704i 0.0105863 + 0.0463818i
\(121\) −533.179 + 256.765i −0.400585 + 0.192912i
\(122\) −279.678 −0.207548
\(123\) 123.236 0.0903396
\(124\) 1791.64 862.809i 1.29753 0.624859i
\(125\) −338.548 + 1483.27i −0.242245 + 1.06134i
\(126\) −93.7308 + 117.535i −0.0662715 + 0.0831018i
\(127\) −1107.77 1389.10i −0.774005 0.970571i 0.225989 0.974130i \(-0.427439\pi\)
−0.999994 + 0.00355855i \(0.998867\pi\)
\(128\) −662.452 −0.457446
\(129\) −290.316 + 219.877i −0.198147 + 0.150071i
\(130\) −112.972 −0.0762178
\(131\) 1574.78 + 1974.71i 1.05030 + 1.31703i 0.946596 + 0.322422i \(0.104497\pi\)
0.103701 + 0.994609i \(0.466932\pi\)
\(132\) 278.523 349.257i 0.183654 0.230295i
\(133\) −254.729 + 1116.04i −0.166074 + 0.727617i
\(134\) 196.704 94.7277i 0.126811 0.0610688i
\(135\) −614.673 −0.391871
\(136\) −21.3386 −0.0134542
\(137\) −761.462 + 366.701i −0.474862 + 0.228682i −0.655978 0.754780i \(-0.727743\pi\)
0.181116 + 0.983462i \(0.442029\pi\)
\(138\) −15.8193 69.3087i −0.00975815 0.0427533i
\(139\) 221.688 + 106.759i 0.135276 + 0.0651454i 0.500297 0.865854i \(-0.333224\pi\)
−0.365021 + 0.930999i \(0.618938\pi\)
\(140\) −282.657 1238.40i −0.170635 0.747599i
\(141\) 145.424 + 182.356i 0.0868577 + 0.108916i
\(142\) −14.4295 + 6.94888i −0.00852744 + 0.00410660i
\(143\) 1013.44 + 1270.81i 0.592644 + 0.743152i
\(144\) 345.637 1514.33i 0.200021 0.876351i
\(145\) −1793.82 863.856i −1.02737 0.494754i
\(146\) 230.666 + 111.083i 0.130754 + 0.0629676i
\(147\) 23.6868 29.7024i 0.0132902 0.0166654i
\(148\) 147.138 644.656i 0.0817210 0.358043i
\(149\) −159.024 696.731i −0.0874348 0.383077i 0.912210 0.409723i \(-0.134375\pi\)
−0.999645 + 0.0266458i \(0.991517\pi\)
\(150\) 11.4147 14.3136i 0.00621338 0.00779134i
\(151\) 986.176 1236.62i 0.531482 0.666458i −0.441520 0.897251i \(-0.645561\pi\)
0.973003 + 0.230793i \(0.0741322\pi\)
\(152\) 76.5896 + 335.561i 0.0408700 + 0.179063i
\(153\) 22.5910 98.9776i 0.0119371 0.0522998i
\(154\) 162.249 203.453i 0.0848984 0.106459i
\(155\) 2065.67 + 994.776i 1.07044 + 0.515499i
\(156\) −340.236 163.849i −0.174620 0.0840924i
\(157\) 49.5642 217.155i 0.0251953 0.110388i −0.960767 0.277358i \(-0.910541\pi\)
0.985962 + 0.166970i \(0.0533984\pi\)
\(158\) 82.7385 + 103.751i 0.0416603 + 0.0522403i
\(159\) 466.934 224.864i 0.232895 0.112156i
\(160\) −358.032 448.958i −0.176906 0.221833i
\(161\) 647.200 + 2835.57i 0.316811 + 1.38804i
\(162\) −180.155 86.7582i −0.0873724 0.0420763i
\(163\) −107.512 471.043i −0.0516627 0.226349i 0.942505 0.334191i \(-0.108463\pi\)
−0.994168 + 0.107842i \(0.965606\pi\)
\(164\) −678.076 + 326.544i −0.322859 + 0.155481i
\(165\) 515.042 0.243006
\(166\) 141.963 0.0663764
\(167\) 3245.97 1563.18i 1.50408 0.724325i 0.513096 0.858331i \(-0.328498\pi\)
0.990980 + 0.134006i \(0.0427842\pi\)
\(168\) −27.0979 + 118.724i −0.0124443 + 0.0545221i
\(169\) −513.094 + 643.399i −0.233543 + 0.292854i
\(170\) −7.61545 9.54947i −0.00343575 0.00430830i
\(171\) −1637.56 −0.732323
\(172\) 1014.78 1979.09i 0.449861 0.877351i
\(173\) 3708.44 1.62975 0.814877 0.579634i \(-0.196804\pi\)
0.814877 + 0.579634i \(0.196804\pi\)
\(174\) 59.0830 + 74.0877i 0.0257418 + 0.0322792i
\(175\) −467.001 + 585.601i −0.201725 + 0.252956i
\(176\) −598.299 + 2621.32i −0.256241 + 1.12267i
\(177\) 194.296 93.5679i 0.0825094 0.0397344i
\(178\) 412.195 0.173569
\(179\) −1673.56 −0.698813 −0.349407 0.936971i \(-0.613617\pi\)
−0.349407 + 0.936971i \(0.613617\pi\)
\(180\) 1637.14 788.407i 0.677920 0.326469i
\(181\) −801.468 3511.46i −0.329130 1.44201i −0.820791 0.571228i \(-0.806467\pi\)
0.491661 0.870787i \(-0.336390\pi\)
\(182\) −198.198 95.4471i −0.0807220 0.0388737i
\(183\) −239.849 1050.85i −0.0968860 0.424485i
\(184\) 545.241 + 683.710i 0.218455 + 0.273934i
\(185\) 686.872 330.780i 0.272972 0.131456i
\(186\) −68.0372 85.3159i −0.0268211 0.0336326i
\(187\) −39.1051 + 171.331i −0.0152922 + 0.0669997i
\(188\) −1283.36 618.036i −0.497867 0.239760i
\(189\) −1078.38 519.320i −0.415029 0.199867i
\(190\) −122.837 + 154.032i −0.0469027 + 0.0588141i
\(191\) −1091.86 + 4783.76i −0.413636 + 1.81226i 0.152927 + 0.988238i \(0.451130\pi\)
−0.566563 + 0.824019i \(0.691727\pi\)
\(192\) −134.899 591.032i −0.0507058 0.222157i
\(193\) −2587.52 + 3244.65i −0.965046 + 1.21013i 0.0126108 + 0.999920i \(0.495986\pi\)
−0.977657 + 0.210209i \(0.932586\pi\)
\(194\) −78.1967 + 98.0555i −0.0289391 + 0.0362885i
\(195\) −96.8839 424.476i −0.0355795 0.155884i
\(196\) −51.6275 + 226.195i −0.0188147 + 0.0824326i
\(197\) 2585.04 3241.54i 0.934906 1.17234i −0.0499129 0.998754i \(-0.515894\pi\)
0.984819 0.173582i \(-0.0555342\pi\)
\(198\) 335.390 + 161.515i 0.120379 + 0.0579717i
\(199\) −3672.19 1768.43i −1.30811 0.629955i −0.355654 0.934618i \(-0.615742\pi\)
−0.952460 + 0.304663i \(0.901456\pi\)
\(200\) −50.1130 + 219.559i −0.0177176 + 0.0776259i
\(201\) 524.617 + 657.848i 0.184098 + 0.230851i
\(202\) 120.449 58.0052i 0.0419543 0.0202041i
\(203\) −2417.21 3031.09i −0.835739 1.04798i
\(204\) −9.08522 39.8050i −0.00311810 0.0136613i
\(205\) −781.788 376.489i −0.266353 0.128269i
\(206\) −19.5318 85.5744i −0.00660604 0.0289430i
\(207\) −3748.58 + 1805.22i −1.25867 + 0.606142i
\(208\) 2272.93 0.757688
\(209\) 2834.62 0.938158
\(210\) −62.8020 + 30.2439i −0.0206369 + 0.00993821i
\(211\) −1228.94 + 5384.32i −0.400964 + 1.75674i 0.222545 + 0.974923i \(0.428564\pi\)
−0.623509 + 0.781816i \(0.714293\pi\)
\(212\) −1973.37 + 2474.52i −0.639299 + 0.801655i
\(213\) −38.4840 48.2574i −0.0123797 0.0155237i
\(214\) 218.920 0.0699302
\(215\) 2513.46 507.941i 0.797285 0.161122i
\(216\) −359.876 −0.113363
\(217\) 2783.55 + 3490.46i 0.870781 + 1.09193i
\(218\) −110.858 + 139.012i −0.0344416 + 0.0431883i
\(219\) −219.560 + 961.955i −0.0677465 + 0.296817i
\(220\) −2833.91 + 1364.74i −0.868463 + 0.418230i
\(221\) 148.560 0.0452181
\(222\) −36.2853 −0.0109699
\(223\) 4196.31 2020.84i 1.26012 0.606840i 0.319910 0.947448i \(-0.396347\pi\)
0.940205 + 0.340608i \(0.110633\pi\)
\(224\) −248.818 1090.14i −0.0742180 0.325170i
\(225\) −965.355 464.890i −0.286031 0.137745i
\(226\) −130.248 570.653i −0.0383361 0.167961i
\(227\) −3367.70 4222.96i −0.984678 1.23475i −0.972037 0.234827i \(-0.924548\pi\)
−0.0126409 0.999920i \(-0.504024\pi\)
\(228\) −593.345 + 285.740i −0.172347 + 0.0829981i
\(229\) −1678.16 2104.35i −0.484262 0.607245i 0.478337 0.878176i \(-0.341240\pi\)
−0.962599 + 0.270931i \(0.912668\pi\)
\(230\) −111.386 + 488.012i −0.0319328 + 0.139907i
\(231\) 903.588 + 435.145i 0.257367 + 0.123941i
\(232\) −1050.23 505.766i −0.297204 0.143126i
\(233\) −1150.34 + 1442.48i −0.323439 + 0.405580i −0.916794 0.399361i \(-0.869232\pi\)
0.593354 + 0.804941i \(0.297803\pi\)
\(234\) 70.0243 306.797i 0.0195625 0.0857091i
\(235\) −365.445 1601.12i −0.101442 0.444449i
\(236\) −821.136 + 1029.67i −0.226489 + 0.284008i
\(237\) −318.872 + 399.853i −0.0873966 + 0.109592i
\(238\) −5.29242 23.1876i −0.00144142 0.00631525i
\(239\) 72.0216 315.547i 0.0194924 0.0854019i −0.964246 0.265008i \(-0.914625\pi\)
0.983739 + 0.179606i \(0.0574824\pi\)
\(240\) 449.044 563.084i 0.120774 0.151445i
\(241\) −3229.72 1555.35i −0.863254 0.415721i −0.0507740 0.998710i \(-0.516169\pi\)
−0.812480 + 0.582989i \(0.801883\pi\)
\(242\) −178.682 86.0488i −0.0474633 0.0228571i
\(243\) 577.567 2530.49i 0.152473 0.668028i
\(244\) 4104.20 + 5146.51i 1.07682 + 1.35029i
\(245\) −241.008 + 116.063i −0.0628466 + 0.0302653i
\(246\) 25.7498 + 32.2892i 0.00667376 + 0.00836864i
\(247\) −533.217 2336.18i −0.137359 0.601811i
\(248\) 1209.40 + 582.416i 0.309665 + 0.149127i
\(249\) 121.746 + 533.406i 0.0309854 + 0.135756i
\(250\) −459.374 + 221.223i −0.116214 + 0.0559655i
\(251\) −482.106 −0.121236 −0.0606180 0.998161i \(-0.519307\pi\)
−0.0606180 + 0.998161i \(0.519307\pi\)
\(252\) 3538.30 0.884492
\(253\) 6488.81 3124.84i 1.61244 0.776511i
\(254\) 132.495 580.498i 0.0327302 0.143400i
\(255\) 29.3498 36.8034i 0.00720766 0.00903812i
\(256\) 2202.79 + 2762.21i 0.537791 + 0.674369i
\(257\) 6028.15 1.46313 0.731567 0.681769i \(-0.238789\pi\)
0.731567 + 0.681769i \(0.238789\pi\)
\(258\) −118.271 30.1235i −0.0285397 0.00726902i
\(259\) 1484.51 0.356151
\(260\) 1657.84 + 2078.87i 0.395442 + 0.495869i
\(261\) 3457.83 4335.98i 0.820055 1.02832i
\(262\) −188.351 + 825.221i −0.0444137 + 0.194589i
\(263\) −1195.48 + 575.714i −0.280291 + 0.134981i −0.568748 0.822512i \(-0.692572\pi\)
0.288457 + 0.957493i \(0.406858\pi\)
\(264\) 301.545 0.0702984
\(265\) −3649.13 −0.845902
\(266\) −345.642 + 166.452i −0.0796716 + 0.0383678i
\(267\) 353.495 + 1548.76i 0.0810244 + 0.354991i
\(268\) −4629.72 2229.56i −1.05524 0.508179i
\(269\) −793.854 3478.10i −0.179934 0.788341i −0.981659 0.190648i \(-0.938941\pi\)
0.801725 0.597693i \(-0.203916\pi\)
\(270\) −128.434 161.052i −0.0289491 0.0363011i
\(271\) 5462.33 2630.52i 1.22440 0.589641i 0.293868 0.955846i \(-0.405057\pi\)
0.930534 + 0.366205i \(0.119343\pi\)
\(272\) 153.218 + 192.129i 0.0341551 + 0.0428292i
\(273\) 188.655 826.553i 0.0418240 0.183243i
\(274\) −255.186 122.891i −0.0562640 0.0270953i
\(275\) 1671.03 + 804.728i 0.366426 + 0.176461i
\(276\) −1043.25 + 1308.19i −0.227522 + 0.285303i
\(277\) −541.222 + 2371.25i −0.117397 + 0.514349i 0.881698 + 0.471814i \(0.156401\pi\)
−0.999095 + 0.0425349i \(0.986457\pi\)
\(278\) 18.3490 + 80.3920i 0.00395862 + 0.0173439i
\(279\) −3981.87 + 4993.11i −0.854439 + 1.07143i
\(280\) 534.610 670.379i 0.114104 0.143082i
\(281\) 498.984 + 2186.19i 0.105932 + 0.464118i 0.999873 + 0.0159338i \(0.00507211\pi\)
−0.893941 + 0.448185i \(0.852071\pi\)
\(282\) −17.3935 + 76.2058i −0.00367293 + 0.0160922i
\(283\) −1234.65 + 1548.21i −0.259338 + 0.325199i −0.894405 0.447257i \(-0.852401\pi\)
0.635068 + 0.772456i \(0.280972\pi\)
\(284\) 339.620 + 163.552i 0.0709603 + 0.0341727i
\(285\) −684.097 329.444i −0.142184 0.0684721i
\(286\) −121.212 + 531.067i −0.0250610 + 0.109799i
\(287\) −1053.48 1321.02i −0.216672 0.271698i
\(288\) 1441.15 694.021i 0.294863 0.141999i
\(289\) −3053.19 3828.58i −0.621451 0.779275i
\(290\) −148.473 650.502i −0.0300642 0.131720i
\(291\) −435.490 209.721i −0.0877280 0.0422476i
\(292\) −1340.87 5874.72i −0.268727 1.17737i
\(293\) −3160.23 + 1521.88i −0.630111 + 0.303445i −0.721547 0.692366i \(-0.756569\pi\)
0.0914363 + 0.995811i \(0.470854\pi\)
\(294\) 12.7317 0.00252560
\(295\) −1518.44 −0.299684
\(296\) 402.146 193.663i 0.0789672 0.0380286i
\(297\) −659.507 + 2889.49i −0.128850 + 0.564529i
\(298\) 149.324 187.247i 0.0290272 0.0363990i
\(299\) −3795.97 4759.99i −0.734202 0.920660i
\(300\) −430.901 −0.0829269
\(301\) 4838.74 + 1232.42i 0.926579 + 0.235998i
\(302\) 530.070 0.101000
\(303\) 321.242 + 402.825i 0.0609071 + 0.0763751i
\(304\) 2471.39 3099.03i 0.466263 0.584676i
\(305\) −1688.81 + 7399.16i −0.317052 + 1.38910i
\(306\) 30.6537 14.7620i 0.00572665 0.00275781i
\(307\) 5554.29 1.03257 0.516287 0.856416i \(-0.327314\pi\)
0.516287 + 0.856416i \(0.327314\pi\)
\(308\) −6124.82 −1.13310
\(309\) 304.783 146.776i 0.0561116 0.0270219i
\(310\) 170.974 + 749.087i 0.0313248 + 0.137243i
\(311\) −4145.93 1996.57i −0.755929 0.364036i 0.0158939 0.999874i \(-0.494941\pi\)
−0.771823 + 0.635837i \(0.780655\pi\)
\(312\) −56.7231 248.520i −0.0102927 0.0450952i
\(313\) 6105.67 + 7656.26i 1.10260 + 1.38261i 0.916478 + 0.400085i \(0.131019\pi\)
0.186118 + 0.982527i \(0.440409\pi\)
\(314\) 67.2536 32.3876i 0.0120871 0.00582082i
\(315\) 2543.52 + 3189.47i 0.454956 + 0.570496i
\(316\) 695.010 3045.04i 0.123726 0.542078i
\(317\) −8401.02 4045.72i −1.48848 0.716814i −0.499700 0.866198i \(-0.666557\pi\)
−0.988779 + 0.149384i \(0.952271\pi\)
\(318\) 156.482 + 75.3576i 0.0275945 + 0.0132888i
\(319\) −5985.52 + 7505.61i −1.05055 + 1.31735i
\(320\) −949.844 + 4161.54i −0.165931 + 0.726991i
\(321\) 187.744 + 822.559i 0.0326443 + 0.143024i
\(322\) −607.723 + 762.060i −0.105177 + 0.131888i
\(323\) 161.531 202.554i 0.0278262 0.0348929i
\(324\) 1047.25 + 4588.29i 0.179569 + 0.786745i
\(325\) 348.887 1528.57i 0.0595469 0.260892i
\(326\) 100.954 126.593i 0.0171514 0.0215071i
\(327\) −617.386 297.318i −0.104408 0.0502804i
\(328\) −457.717 220.425i −0.0770525 0.0371065i
\(329\) 711.605 3117.75i 0.119246 0.522453i
\(330\) 107.617 + 134.947i 0.0179519 + 0.0225109i
\(331\) −9621.61 + 4633.53i −1.59774 + 0.769431i −0.999492 0.0318804i \(-0.989850\pi\)
−0.598248 + 0.801311i \(0.704136\pi\)
\(332\) −2083.28 2612.35i −0.344382 0.431841i
\(333\) 472.545 + 2070.35i 0.0777637 + 0.340705i
\(334\) 1087.81 + 523.861i 0.178210 + 0.0858216i
\(335\) −1318.34 5776.02i −0.215010 0.942022i
\(336\) 1263.54 608.486i 0.205153 0.0987966i
\(337\) 3164.05 0.511445 0.255722 0.966750i \(-0.417687\pi\)
0.255722 + 0.966750i \(0.417687\pi\)
\(338\) −275.788 −0.0443813
\(339\) 2032.44 978.773i 0.325626 0.156813i
\(340\) −63.9703 + 280.272i −0.0102038 + 0.0447056i
\(341\) 6892.64 8643.10i 1.09460 1.37258i
\(342\) −342.164 429.060i −0.0540998 0.0678390i
\(343\) −6594.84 −1.03816
\(344\) 1471.57 297.387i 0.230644 0.0466106i
\(345\) −1929.16 −0.301050
\(346\) 774.870 + 971.656i 0.120397 + 0.150973i
\(347\) 2478.64 3108.12i 0.383459 0.480843i −0.552218 0.833700i \(-0.686218\pi\)
0.935677 + 0.352857i \(0.114790\pi\)
\(348\) 496.301 2174.44i 0.0764499 0.334949i
\(349\) 3129.06 1506.88i 0.479928 0.231121i −0.178248 0.983986i \(-0.557043\pi\)
0.658175 + 0.752865i \(0.271329\pi\)
\(350\) −251.013 −0.0383349
\(351\) 2505.45 0.381001
\(352\) −2494.64 + 1201.35i −0.377740 + 0.181910i
\(353\) 2238.10 + 9805.75i 0.337456 + 1.47849i 0.804338 + 0.594172i \(0.202520\pi\)
−0.466882 + 0.884320i \(0.654623\pi\)
\(354\) 65.1135 + 31.3570i 0.00977612 + 0.00470793i
\(355\) 96.7085 + 423.708i 0.0144585 + 0.0633466i
\(356\) −6048.87 7585.04i −0.900532 1.12923i
\(357\) 82.5853 39.7710i 0.0122434 0.00589609i
\(358\) −349.686 438.492i −0.0516242 0.0647347i
\(359\) −243.089 + 1065.04i −0.0357374 + 0.156576i −0.989648 0.143514i \(-0.954160\pi\)
0.953911 + 0.300090i \(0.0970168\pi\)
\(360\) 1105.11 + 532.194i 0.161790 + 0.0779141i
\(361\) 2414.70 + 1162.86i 0.352049 + 0.169538i
\(362\) 752.580 943.705i 0.109267 0.137017i
\(363\) 170.079 745.166i 0.0245919 0.107744i
\(364\) 1152.13 + 5047.82i 0.165901 + 0.726861i
\(365\) 4331.67 5431.74i 0.621177 0.778932i
\(366\) 225.219 282.415i 0.0321649 0.0403336i
\(367\) 1854.91 + 8126.87i 0.263829 + 1.15591i 0.917059 + 0.398751i \(0.130556\pi\)
−0.653230 + 0.757159i \(0.726587\pi\)
\(368\) 2241.01 9818.49i 0.317447 1.39083i
\(369\) 1507.01 1889.73i 0.212606 0.266599i
\(370\) 230.189 + 110.853i 0.0323431 + 0.0155756i
\(371\) −6402.01 3083.05i −0.895891 0.431439i
\(372\) −571.517 + 2503.98i −0.0796553 + 0.348993i
\(373\) 2274.61 + 2852.27i 0.315750 + 0.395938i 0.914227 0.405202i \(-0.132799\pi\)
−0.598477 + 0.801140i \(0.704227\pi\)
\(374\) −53.0616 + 25.5531i −0.00733624 + 0.00353295i
\(375\) −1225.17 1536.31i −0.168713 0.211559i
\(376\) −213.959 937.415i −0.0293460 0.128573i
\(377\) 7311.73 + 3521.15i 0.998869 + 0.481030i
\(378\) −89.2566 391.059i −0.0121451 0.0532114i
\(379\) 8112.68 3906.86i 1.09953 0.529504i 0.206017 0.978548i \(-0.433950\pi\)
0.893509 + 0.449044i \(0.148236\pi\)
\(380\) 4637.03 0.625987
\(381\) 2294.76 0.308567
\(382\) −1481.55 + 713.475i −0.198436 + 0.0955617i
\(383\) −835.142 + 3659.00i −0.111420 + 0.488162i 0.888170 + 0.459515i \(0.151977\pi\)
−0.999590 + 0.0286466i \(0.990880\pi\)
\(384\) 533.459 668.937i 0.0708932 0.0888972i
\(385\) −4402.84 5520.99i −0.582830 0.730846i
\(386\) −1390.79 −0.183393
\(387\) −178.525 + 7140.59i −0.0234494 + 0.937924i
\(388\) 2951.89 0.386236
\(389\) 5119.96 + 6420.22i 0.667332 + 0.836808i 0.994119 0.108290i \(-0.0345375\pi\)
−0.326787 + 0.945098i \(0.605966\pi\)
\(390\) 90.9742 114.078i 0.0118119 0.0148117i
\(391\) 146.473 641.741i 0.0189449 0.0830032i
\(392\) −141.104 + 67.9521i −0.0181807 + 0.00875536i
\(393\) −3262.17 −0.418715
\(394\) 1389.46 0.177665
\(395\) 3244.45 1562.44i 0.413281 0.199025i
\(396\) −1949.63 8541.90i −0.247406 1.08396i
\(397\) 9467.82 + 4559.46i 1.19692 + 0.576405i 0.922796 0.385289i \(-0.125898\pi\)
0.274122 + 0.961695i \(0.411613\pi\)
\(398\) −303.945 1331.67i −0.0382798 0.167715i
\(399\) −921.838 1155.95i −0.115663 0.145037i
\(400\) 2336.70 1125.29i 0.292087 0.140662i
\(401\) 1460.90 + 1831.92i 0.181930 + 0.228133i 0.864431 0.502752i \(-0.167679\pi\)
−0.682501 + 0.730885i \(0.739108\pi\)
\(402\) −62.7468 + 274.912i −0.00778489 + 0.0341078i
\(403\) −8419.85 4054.78i −1.04075 0.501199i
\(404\) −2834.95 1365.24i −0.349119 0.168127i
\(405\) −3383.13 + 4242.31i −0.415084 + 0.520499i
\(406\) 289.111 1266.68i 0.0353407 0.154838i
\(407\) −817.978 3583.79i −0.0996208 0.436467i
\(408\) 17.1836 21.5475i 0.00208508 0.00261461i
\(409\) −5009.49 + 6281.70i −0.605632 + 0.759438i −0.986244 0.165297i \(-0.947142\pi\)
0.380612 + 0.924735i \(0.375713\pi\)
\(410\) −64.7080 283.504i −0.00779439 0.0341495i
\(411\) 242.900 1064.21i 0.0291517 0.127722i
\(412\) −1288.08 + 1615.20i −0.154027 + 0.193144i
\(413\) −2663.94 1282.88i −0.317394 0.152849i
\(414\) −1256.25 604.976i −0.149133 0.0718187i
\(415\) 857.234 3755.79i 0.101397 0.444251i
\(416\) 1459.37 + 1829.99i 0.171998 + 0.215679i
\(417\) −286.325 + 137.887i −0.0336245 + 0.0161927i
\(418\) 592.288 + 742.705i 0.0693056 + 0.0869065i
\(419\) 111.428 + 488.200i 0.0129920 + 0.0569215i 0.981008 0.193965i \(-0.0621349\pi\)
−0.968016 + 0.250887i \(0.919278\pi\)
\(420\) 1478.14 + 711.834i 0.171728 + 0.0826999i
\(421\) −2068.36 9062.06i −0.239443 1.04907i −0.941517 0.336965i \(-0.890600\pi\)
0.702074 0.712104i \(-0.252257\pi\)
\(422\) −1667.54 + 803.045i −0.192357 + 0.0926342i
\(423\) 4574.64 0.525832
\(424\) −2136.47 −0.244708
\(425\) 152.728 73.5498i 0.0174315 0.00839456i
\(426\) 4.60288 20.1665i 0.000523498 0.00229360i
\(427\) −9214.18 + 11554.2i −1.04428 + 1.30948i
\(428\) −3212.60 4028.47i −0.362820 0.454961i
\(429\) −2099.35 −0.236265
\(430\) 658.267 + 552.422i 0.0738244 + 0.0619539i
\(431\) −2246.60 −0.251079 −0.125540 0.992089i \(-0.540066\pi\)
−0.125540 + 0.992089i \(0.540066\pi\)
\(432\) 2584.01 + 3240.25i 0.287786 + 0.360872i
\(433\) −537.994 + 674.623i −0.0597098 + 0.0748737i −0.810790 0.585338i \(-0.800962\pi\)
0.751080 + 0.660211i \(0.229533\pi\)
\(434\) −332.927 + 1458.65i −0.0368225 + 0.161330i
\(435\) 2316.83 1115.73i 0.255365 0.122977i
\(436\) 4184.85 0.459674
\(437\) −10617.4 −1.16225
\(438\) −297.920 + 143.471i −0.0325004 + 0.0156514i
\(439\) −828.436 3629.62i −0.0900663 0.394606i 0.909721 0.415220i \(-0.136295\pi\)
−0.999788 + 0.0206134i \(0.993438\pi\)
\(440\) −1912.95 921.230i −0.207265 0.0998134i
\(441\) −165.805 726.440i −0.0179036 0.0784408i
\(442\) 31.0412 + 38.9244i 0.00334045 + 0.00418879i
\(443\) 3602.67 1734.96i 0.386384 0.186073i −0.230600 0.973049i \(-0.574069\pi\)
0.616984 + 0.786976i \(0.288354\pi\)
\(444\) 532.478 + 667.707i 0.0569151 + 0.0713693i
\(445\) 2489.01 10905.1i 0.265147 1.16168i
\(446\) 1406.29 + 677.235i 0.149305 + 0.0719013i
\(447\) 831.610 + 400.482i 0.0879951 + 0.0423762i
\(448\) −5182.37 + 6498.49i −0.546527 + 0.685323i
\(449\) −2709.84 + 11872.6i −0.284822 + 1.24789i 0.606707 + 0.794925i \(0.292490\pi\)
−0.891530 + 0.452963i \(0.850367\pi\)
\(450\) −79.9018 350.072i −0.00837023 0.0366724i
\(451\) −2608.63 + 3271.12i −0.272363 + 0.341533i
\(452\) −8589.55 + 10771.0i −0.893846 + 1.12085i
\(453\) 454.583 + 1991.66i 0.0471483 + 0.206570i
\(454\) 402.794 1764.75i 0.0416389 0.182432i
\(455\) −3721.95 + 4667.18i −0.383490 + 0.480881i
\(456\) −400.522 192.881i −0.0411319 0.0198081i
\(457\) −9263.24 4460.94i −0.948175 0.456617i −0.105129 0.994459i \(-0.533526\pi\)
−0.843046 + 0.537842i \(0.819240\pi\)
\(458\) 200.717 879.397i 0.0204779 0.0897194i
\(459\) 168.892 + 211.784i 0.0171748 + 0.0215365i
\(460\) 10614.8 5111.80i 1.07590 0.518128i
\(461\) 4784.56 + 5999.64i 0.483382 + 0.606142i 0.962391 0.271668i \(-0.0875754\pi\)
−0.479009 + 0.877810i \(0.659004\pi\)
\(462\) 74.7893 + 327.673i 0.00753142 + 0.0329973i
\(463\) 2391.24 + 1151.56i 0.240022 + 0.115589i 0.550029 0.835146i \(-0.314617\pi\)
−0.310006 + 0.950735i \(0.600331\pi\)
\(464\) 2987.17 + 13087.7i 0.298871 + 1.30944i
\(465\) −2667.96 + 1284.82i −0.266072 + 0.128134i
\(466\) −618.309 −0.0614648
\(467\) −5990.23 −0.593565 −0.296782 0.954945i \(-0.595914\pi\)
−0.296782 + 0.954945i \(0.595914\pi\)
\(468\) −6673.13 + 3213.61i −0.659115 + 0.317413i
\(469\) 2567.11 11247.2i 0.252746 1.10735i
\(470\) 343.153 430.301i 0.0336776 0.0422304i
\(471\) 179.368 + 224.920i 0.0175474 + 0.0220037i
\(472\) −889.007 −0.0866946
\(473\) 309.027 12360.4i 0.0300403 1.20155i
\(474\) −171.394 −0.0166084
\(475\) −1704.79 2137.73i −0.164676 0.206497i
\(476\) −349.024 + 437.662i −0.0336081 + 0.0421433i
\(477\) 2261.86 9909.87i 0.217114 0.951241i
\(478\) 97.7259 47.0623i 0.00935121 0.00450331i
\(479\) 9568.56 0.912732 0.456366 0.889792i \(-0.349151\pi\)
0.456366 + 0.889792i \(0.349151\pi\)
\(480\) 741.669 0.0705258
\(481\) −2799.74 + 1348.29i −0.265400 + 0.127810i
\(482\) −267.321 1171.21i −0.0252617 0.110679i
\(483\) −3384.50 1629.89i −0.318841 0.153546i
\(484\) 1038.68 + 4550.78i 0.0975474 + 0.427383i
\(485\) 2121.98 + 2660.87i 0.198668 + 0.249122i
\(486\) 783.700 377.410i 0.0731468 0.0352256i
\(487\) 5406.60 + 6779.66i 0.503072 + 0.630833i 0.966919 0.255083i \(-0.0821027\pi\)
−0.463847 + 0.885915i \(0.653531\pi\)
\(488\) −988.756 + 4332.03i −0.0917191 + 0.401847i
\(489\) 562.231 + 270.756i 0.0519938 + 0.0250389i
\(490\) −80.7679 38.8958i −0.00744637 0.00358598i
\(491\) 6036.43 7569.44i 0.554827 0.695732i −0.422765 0.906239i \(-0.638940\pi\)
0.977592 + 0.210508i \(0.0675117\pi\)
\(492\) 216.300 947.673i 0.0198202 0.0868382i
\(493\) 195.243 + 855.416i 0.0178363 + 0.0781461i
\(494\) 500.692 627.848i 0.0456016 0.0571826i
\(495\) 6298.28 7897.79i 0.571892 0.717130i
\(496\) −3439.89 15071.1i −0.311402 1.36434i
\(497\) −188.314 + 825.057i −0.0169960 + 0.0744645i
\(498\) −114.320 + 143.353i −0.0102868 + 0.0128992i
\(499\) −1197.62 576.744i −0.107441 0.0517407i 0.379391 0.925236i \(-0.376133\pi\)
−0.486832 + 0.873496i \(0.661848\pi\)
\(500\) 10812.1 + 5206.81i 0.967060 + 0.465712i
\(501\) −1035.44 + 4536.54i −0.0923350 + 0.404546i
\(502\) −100.735 126.318i −0.00895621 0.0112307i
\(503\) 12145.0 5848.74i 1.07658 0.518454i 0.190359 0.981715i \(-0.439035\pi\)
0.886222 + 0.463260i \(0.153321\pi\)
\(504\) 1489.17 + 1867.36i 0.131613 + 0.165037i
\(505\) −807.266 3536.87i −0.0711344 0.311660i
\(506\) 2174.57 + 1047.22i 0.191050 + 0.0920049i
\(507\) −236.513 1036.23i −0.0207178 0.0907706i
\(508\) −12626.4 + 6080.55i −1.10277 + 0.531065i
\(509\) −11992.7 −1.04433 −0.522166 0.852844i \(-0.674876\pi\)
−0.522166 + 0.852844i \(0.674876\pi\)
\(510\) 15.7755 0.00136971
\(511\) 12188.6 5869.71i 1.05517 0.508142i
\(512\) −1442.74 + 6321.06i −0.124533 + 0.545614i
\(513\) 2724.22 3416.07i 0.234459 0.294002i
\(514\) 1259.57 + 1579.45i 0.108088 + 0.135538i
\(515\) −2381.90 −0.203804
\(516\) 1181.28 + 2618.43i 0.100781 + 0.223392i
\(517\) −7918.73 −0.673627
\(518\) 310.185 + 388.960i 0.0263103 + 0.0329921i
\(519\) −2986.33 + 3744.74i −0.252573 + 0.316716i
\(520\) −399.396 + 1749.87i −0.0336820 + 0.147571i
\(521\) −8936.73 + 4303.70i −0.751488 + 0.361898i −0.770095 0.637929i \(-0.779791\pi\)
0.0186069 + 0.999827i \(0.494077\pi\)
\(522\) 1858.59 0.155839
\(523\) 20341.3 1.70069 0.850347 0.526223i \(-0.176392\pi\)
0.850347 + 0.526223i \(0.176392\pi\)
\(524\) 17949.4 8643.96i 1.49642 0.720636i
\(525\) −215.267 943.144i −0.0178952 0.0784042i
\(526\) −400.637 192.937i −0.0332103 0.0159932i
\(527\) −224.833 985.057i −0.0185842 0.0814227i
\(528\) −2165.18 2715.05i −0.178461 0.223783i
\(529\) −13342.6 + 6425.44i −1.09662 + 0.528104i
\(530\) −762.476 956.115i −0.0624903 0.0783604i
\(531\) 941.183 4123.59i 0.0769187 0.337003i
\(532\) 8135.19 + 3917.70i 0.662980 + 0.319274i
\(533\) 3186.63 + 1534.60i 0.258965 + 0.124711i
\(534\) −331.932 + 416.230i −0.0268991 + 0.0337304i
\(535\) 1321.93 5791.75i 0.106826 0.468036i
\(536\) −771.854 3381.71i −0.0621997 0.272515i
\(537\) 1347.68 1689.94i 0.108299 0.135803i
\(538\) 745.431 934.741i 0.0597357 0.0749062i
\(539\) 287.010 + 1257.47i 0.0229358 + 0.100488i
\(540\) −1078.86 + 4726.79i −0.0859753 + 0.376683i
\(541\) 13731.5 17218.7i 1.09124 1.36838i 0.167273 0.985911i \(-0.446504\pi\)
0.923970 0.382465i \(-0.124925\pi\)
\(542\) 1830.57 + 881.556i 0.145073 + 0.0698636i
\(543\) 4191.24 + 2018.39i 0.331240 + 0.159517i
\(544\) −56.3120 + 246.719i −0.00443815 + 0.0194448i
\(545\) 3008.29 + 3772.28i 0.236442 + 0.296489i
\(546\) 255.986 123.276i 0.0200645 0.00966253i
\(547\) 3906.72 + 4898.88i 0.305374 + 0.382927i 0.910712 0.413042i \(-0.135534\pi\)
−0.605338 + 0.795968i \(0.706962\pi\)
\(548\) 1483.40 + 6499.21i 0.115635 + 0.506629i
\(549\) −19047.0 9172.54i −1.48070 0.713069i
\(550\) 138.310 + 605.977i 0.0107229 + 0.0469799i
\(551\) 12751.1 6140.60i 0.985871 0.474770i
\(552\) −1129.47 −0.0870898
\(553\) 7012.10 0.539213
\(554\) −734.383 + 353.660i −0.0563194 + 0.0271220i
\(555\) −219.106 + 959.965i −0.0167577 + 0.0734203i
\(556\) 1210.07 1517.38i 0.0922995 0.115740i
\(557\) 7054.95 + 8846.63i 0.536675 + 0.672969i 0.974056 0.226307i \(-0.0726653\pi\)
−0.437381 + 0.899276i \(0.644094\pi\)
\(558\) −2140.26 −0.162373
\(559\) −10245.0 + 2070.41i −0.775168 + 0.156653i
\(560\) −9874.63 −0.745141
\(561\) −141.517 177.457i −0.0106504 0.0133552i
\(562\) −468.547 + 587.540i −0.0351681 + 0.0440994i
\(563\) −2611.61 + 11442.2i −0.195499 + 0.856538i 0.778076 + 0.628171i \(0.216196\pi\)
−0.973575 + 0.228368i \(0.926661\pi\)
\(564\) 1657.55 798.235i 0.123751 0.0595953i
\(565\) −15883.7 −1.18271
\(566\) −663.627 −0.0492832
\(567\) −9519.56 + 4584.38i −0.705086 + 0.339552i
\(568\) 56.6204 + 248.070i 0.00418264 + 0.0183253i
\(569\) −6375.94 3070.49i −0.469760 0.226224i 0.184000 0.982926i \(-0.441095\pi\)
−0.653760 + 0.756702i \(0.726810\pi\)
\(570\) −56.6222 248.078i −0.00416078 0.0182296i
\(571\) −3816.33 4785.52i −0.279699 0.350732i 0.622061 0.782969i \(-0.286296\pi\)
−0.901760 + 0.432237i \(0.857724\pi\)
\(572\) 11551.2 5562.78i 0.844372 0.406628i
\(573\) −3951.33 4954.82i −0.288079 0.361240i
\(574\) 126.002 552.049i 0.00916237 0.0401430i
\(575\) −6259.07 3014.21i −0.453950 0.218611i
\(576\) −10712.7 5158.95i −0.774933 0.373188i
\(577\) 6412.80 8041.40i 0.462684 0.580187i −0.494679 0.869076i \(-0.664714\pi\)
0.957363 + 0.288889i \(0.0932858\pi\)
\(578\) 365.177 1599.95i 0.0262792 0.115137i
\(579\) −1192.73 5225.70i −0.0856101 0.375082i
\(580\) −9791.45 + 12278.1i −0.700979 + 0.879000i
\(581\) 4677.08 5864.88i 0.333973 0.418789i
\(582\) −36.0452 157.924i −0.00256722 0.0112477i
\(583\) −3915.30 + 17154.0i −0.278139 + 1.21861i
\(584\) 2536.08 3180.15i 0.179698 0.225335i
\(585\) −7693.79 3705.13i −0.543759 0.261861i
\(586\) −1059.07 510.023i −0.0746586 0.0359537i
\(587\) −3726.76 + 16328.0i −0.262044 + 1.14809i 0.656986 + 0.753903i \(0.271831\pi\)
−0.919030 + 0.394188i \(0.871026\pi\)
\(588\) −186.834 234.283i −0.0131036 0.0164314i
\(589\) −14683.6 + 7071.23i −1.02721 + 0.494677i
\(590\) −317.274 397.849i −0.0221389 0.0277613i
\(591\) 1191.59 + 5220.69i 0.0829364 + 0.363368i
\(592\) −4631.24 2230.29i −0.321525 0.154838i
\(593\) 4839.68 + 21204.0i 0.335146 + 1.46837i 0.809021 + 0.587780i \(0.199998\pi\)
−0.473874 + 0.880592i \(0.657145\pi\)
\(594\) −894.884 + 430.953i −0.0618140 + 0.0297681i
\(595\) −645.410 −0.0444693
\(596\) −5636.93 −0.387412
\(597\) 4742.88 2284.05i 0.325148 0.156583i
\(598\) 454.017 1989.18i 0.0310470 0.136026i
\(599\) −558.707 + 700.597i −0.0381105 + 0.0477890i −0.800521 0.599304i \(-0.795444\pi\)
0.762411 + 0.647093i \(0.224015\pi\)
\(600\) −181.353 227.410i −0.0123395 0.0154733i
\(601\) 1801.42 0.122266 0.0611328 0.998130i \(-0.480529\pi\)
0.0611328 + 0.998130i \(0.480529\pi\)
\(602\) 688.135 + 1525.32i 0.0465885 + 0.103268i
\(603\) 16503.0 1.11452
\(604\) −7778.65 9754.12i −0.524021 0.657102i
\(605\) −3355.47 + 4207.62i −0.225486 + 0.282751i
\(606\) −38.4222 + 168.339i −0.00257557 + 0.0112843i
\(607\) −11029.4 + 5311.47i −0.737510 + 0.355166i −0.764633 0.644466i \(-0.777080\pi\)
0.0271228 + 0.999632i \(0.491365\pi\)
\(608\) 4081.90 0.272274
\(609\) 5007.29 0.333178
\(610\) −2291.54 + 1103.55i −0.152101 + 0.0732482i
\(611\) 1489.58 + 6526.28i 0.0986285 + 0.432120i
\(612\) −721.480 347.446i −0.0476537 0.0229488i
\(613\) −407.373 1784.82i −0.0268412 0.117599i 0.959733 0.280915i \(-0.0906380\pi\)
−0.986574 + 0.163316i \(0.947781\pi\)
\(614\) 1160.56 + 1455.29i 0.0762805 + 0.0956527i
\(615\) 1009.73 486.261i 0.0662054 0.0318828i
\(616\) −2577.75 3232.40i −0.168605 0.211424i
\(617\) −5467.08 + 23952.9i −0.356720 + 1.56289i 0.404585 + 0.914500i \(0.367416\pi\)
−0.761305 + 0.648394i \(0.775441\pi\)
\(618\) 102.141 + 49.1883i 0.00664837 + 0.00320169i
\(619\) 12864.0 + 6194.97i 0.835294 + 0.402256i 0.802098 0.597192i \(-0.203717\pi\)
0.0331961 + 0.999449i \(0.489431\pi\)
\(620\) 11275.4 14138.9i 0.730371 0.915856i
\(621\) 2470.27 10823.0i 0.159627 0.699372i
\(622\) −343.155 1503.46i −0.0221210 0.0969186i
\(623\) 13580.1 17028.9i 0.873313 1.09510i
\(624\) −1830.34 + 2295.17i −0.117424 + 0.147244i
\(625\) 1902.29 + 8334.49i 0.121747 + 0.533407i
\(626\) −730.269 + 3199.52i −0.0466253 + 0.204279i
\(627\) −2282.66 + 2862.37i −0.145392 + 0.182316i
\(628\) −1582.91 762.291i −0.100581 0.0484374i
\(629\) −302.700 145.773i −0.0191883 0.00924060i
\(630\) −304.218 + 1332.86i −0.0192386 + 0.0842898i
\(631\) −16377.3 20536.5i −1.03324 1.29564i −0.954330 0.298755i \(-0.903429\pi\)
−0.0789063 0.996882i \(-0.525143\pi\)
\(632\) 1899.54 914.772i 0.119557 0.0575754i
\(633\) −4447.39 5576.85i −0.279254 0.350173i
\(634\) −695.346 3046.51i −0.0435579 0.190840i
\(635\) −14557.6 7010.58i −0.909766 0.438120i
\(636\) −909.634 3985.37i −0.0567128 0.248475i
\(637\) 982.366 473.083i 0.0611032 0.0294258i
\(638\) −3217.22 −0.199641
\(639\) −1210.60 −0.0749461
\(640\) −5427.81 + 2613.90i −0.335239 + 0.161443i
\(641\) 3823.34 16751.1i 0.235589 1.03218i −0.709329 0.704878i \(-0.751002\pi\)
0.944918 0.327307i \(-0.106141\pi\)
\(642\) −176.292 + 221.063i −0.0108375 + 0.0135898i
\(643\) 9562.74 + 11991.3i 0.586497 + 0.735444i 0.983206 0.182500i \(-0.0584190\pi\)
−0.396708 + 0.917945i \(0.629848\pi\)
\(644\) 22941.3 1.40375
\(645\) −1511.12 + 2947.09i −0.0922486 + 0.179910i
\(646\) 86.8232 0.00528795
\(647\) −15220.2 19085.6i −0.924836 1.15971i −0.986851 0.161633i \(-0.948324\pi\)
0.0620148 0.998075i \(-0.480247\pi\)
\(648\) −1980.74 + 2483.77i −0.120078 + 0.150573i
\(649\) −1629.19 + 7137.95i −0.0985383 + 0.431725i
\(650\) 473.403 227.979i 0.0285668 0.0137570i
\(651\) −5766.16 −0.347148
\(652\) −3810.99 −0.228911
\(653\) −23045.7 + 11098.2i −1.38108 + 0.665095i −0.969230 0.246155i \(-0.920833\pi\)
−0.411854 + 0.911250i \(0.635119\pi\)
\(654\) −51.1006 223.887i −0.00305534 0.0133863i
\(655\) 20694.7 + 9966.06i 1.23452 + 0.594513i
\(656\) 1301.88 + 5703.92i 0.0774847 + 0.339483i
\(657\) 12065.9 + 15130.2i 0.716495 + 0.898457i
\(658\) 965.576 464.997i 0.0572068 0.0275493i
\(659\) −2803.12 3515.00i −0.165697 0.207777i 0.692050 0.721849i \(-0.256708\pi\)
−0.857747 + 0.514072i \(0.828136\pi\)
\(660\) 903.990 3960.64i 0.0533148 0.233587i
\(661\) 20346.8 + 9798.51i 1.19728 + 0.576577i 0.922898 0.385045i \(-0.125814\pi\)
0.274377 + 0.961622i \(0.411528\pi\)
\(662\) −3224.45 1552.82i −0.189308 0.0911660i
\(663\) −119.632 + 150.014i −0.00700772 + 0.00878741i
\(664\) 501.889 2198.92i 0.0293329 0.128516i
\(665\) 2316.54 + 10149.4i 0.135085 + 0.591846i
\(666\) −443.721 + 556.408i −0.0258166 + 0.0323730i
\(667\) 22419.5 28113.2i 1.30148 1.63201i
\(668\) −6323.47 27704.9i −0.366261 1.60470i
\(669\) −1338.58 + 5864.72i −0.0773583 + 0.338929i
\(670\) 1237.92 1552.31i 0.0713808 0.0895086i
\(671\) 32970.4 + 15877.7i 1.89688 + 0.913491i
\(672\) 1301.18 + 626.615i 0.0746936 + 0.0359705i
\(673\) 6932.39 30372.8i 0.397064 1.73965i −0.241796 0.970327i \(-0.577737\pi\)
0.638860 0.769323i \(-0.279406\pi\)
\(674\) 661.121 + 829.019i 0.0377825 + 0.0473778i
\(675\) 2575.75 1240.42i 0.146875 0.0707313i
\(676\) 4047.12 + 5074.93i 0.230264 + 0.288742i
\(677\) 88.4153 + 387.373i 0.00501931 + 0.0219911i 0.977376 0.211511i \(-0.0678385\pi\)
−0.972356 + 0.233502i \(0.924981\pi\)
\(678\) 681.124 + 328.012i 0.0385817 + 0.0185800i
\(679\) 1474.69 + 6461.02i 0.0833480 + 0.365171i
\(680\) −174.838 + 84.1977i −0.00985992 + 0.00474829i
\(681\) 6976.23 0.392555
\(682\) 3704.80 0.208012
\(683\) −14148.9 + 6813.74i −0.792668 + 0.381729i −0.785982 0.618249i \(-0.787842\pi\)
−0.00668533 + 0.999978i \(0.502128\pi\)
\(684\) −2874.21 + 12592.7i −0.160670 + 0.703939i
\(685\) −4792.13 + 6009.14i −0.267296 + 0.335179i
\(686\) −1377.98 1727.93i −0.0766930 0.0961700i
\(687\) 3476.33 0.193057
\(688\) −13243.9 11114.4i −0.733894 0.615889i
\(689\) 14874.1 0.822437
\(690\) −403.093 505.462i −0.0222398 0.0278879i
\(691\) −8881.44 + 11137.0i −0.488952 + 0.613127i −0.963697 0.266997i \(-0.913969\pi\)
0.474745 + 0.880123i \(0.342540\pi\)
\(692\) 6508.97 28517.6i 0.357563 1.56659i
\(693\) 17722.3 8534.61i 0.971449 0.467825i
\(694\) 1332.27 0.0728707
\(695\) 2237.65 0.122128
\(696\) 1356.45 653.232i 0.0738737 0.0355757i
\(697\) 85.0917 + 372.811i 0.00462421 + 0.0202600i
\(698\) 1048.63 + 504.993i 0.0568642 + 0.0273844i
\(699\) −530.256 2323.20i −0.0286926 0.125710i
\(700\) 3683.56 + 4619.04i 0.198893 + 0.249405i
\(701\) −29518.0 + 14215.1i −1.59041 + 0.765902i −0.999176 0.0405960i \(-0.987074\pi\)
−0.591237 + 0.806498i \(0.701360\pi\)
\(702\) 523.509 + 656.459i 0.0281461 + 0.0352941i
\(703\) −1205.89 + 5283.33i −0.0646954 + 0.283449i
\(704\) 18543.7 + 8930.17i 0.992744 + 0.478080i
\(705\) 1911.08 + 920.325i 0.102093 + 0.0491652i
\(706\) −2101.58 + 2635.30i −0.112031 + 0.140483i
\(707\) 1571.93 6887.10i 0.0836191 0.366359i
\(708\) −378.507 1658.35i −0.0200920 0.0880290i
\(709\) 15115.7 18954.4i 0.800678 1.00402i −0.199034 0.979993i \(-0.563780\pi\)
0.999711 0.0240254i \(-0.00764824\pi\)
\(710\) −90.8095 + 113.871i −0.00480003 + 0.00601904i
\(711\) 2232.07 + 9779.35i 0.117735 + 0.515829i
\(712\) 1457.25 6384.64i 0.0767034 0.336060i
\(713\) −25817.3 + 32373.8i −1.35605 + 1.70043i
\(714\) 27.6765 + 13.3283i 0.00145065 + 0.000698598i
\(715\) 13318.0 + 6413.60i 0.696594 + 0.335462i
\(716\) −2937.39 + 12869.5i −0.153318 + 0.671728i
\(717\) 260.638 + 326.830i 0.0135756 + 0.0170233i
\(718\) −329.846 + 158.846i −0.0171445 + 0.00825636i
\(719\) −12715.5 15944.7i −0.659536 0.827032i 0.333756 0.942659i \(-0.391684\pi\)
−0.993293 + 0.115627i \(0.963112\pi\)
\(720\) −3143.26 13771.5i −0.162698 0.712826i
\(721\) −4178.79 2012.40i −0.215848 0.103947i
\(722\) 199.863 + 875.658i 0.0103021 + 0.0451366i
\(723\) 4171.40 2008.84i 0.214572 0.103333i
\(724\) −28409.6 −1.45833
\(725\) 9260.15 0.474363
\(726\) 230.780 111.138i 0.0117976 0.00568142i
\(727\) 20.1434 88.2540i 0.00102762 0.00450228i −0.974412 0.224771i \(-0.927836\pi\)
0.975439 + 0.220269i \(0.0706936\pi\)
\(728\) −2179.11 + 2732.52i −0.110939 + 0.139112i
\(729\) −7954.20 9974.25i −0.404115 0.506744i
\(730\) 2328.27 0.118045
\(731\) −865.628 726.441i −0.0437981 0.0367557i
\(732\) −8501.91 −0.429289
\(733\) −8595.53 10778.5i −0.433129 0.543126i 0.516589 0.856233i \(-0.327201\pi\)
−0.949718 + 0.313107i \(0.898630\pi\)
\(734\) −1741.76 + 2184.10i −0.0875879 + 0.109832i
\(735\) 76.8793 336.830i 0.00385814 0.0169036i
\(736\) 9343.98 4499.82i 0.467967 0.225361i
\(737\) −28566.7 −1.42777
\(738\) 810.016 0.0404026
\(739\) −279.559 + 134.628i −0.0139157 + 0.00670147i −0.440829 0.897591i \(-0.645315\pi\)
0.426913 + 0.904293i \(0.359601\pi\)
\(740\) −1338.09 5862.57i −0.0664720 0.291233i
\(741\) 2788.43 + 1342.84i 0.138240 + 0.0665728i
\(742\) −529.890 2321.60i −0.0262168 0.114863i
\(743\) −3692.06 4629.70i −0.182299 0.228596i 0.682282 0.731089i \(-0.260988\pi\)
−0.864581 + 0.502493i \(0.832416\pi\)
\(744\) −1562.02 + 752.230i −0.0769711 + 0.0370673i
\(745\) −4052.12 5081.20i −0.199273 0.249880i
\(746\) −272.055 + 1191.95i −0.0133520 + 0.0584991i
\(747\) 9668.18 + 4655.95i 0.473548 + 0.228049i
\(748\) 1248.88 + 601.431i 0.0610478 + 0.0293991i
\(749\) 7212.48 9044.16i 0.351853 0.441210i
\(750\) 146.536 642.017i 0.00713433 0.0312575i
\(751\) 2120.68 + 9291.29i 0.103042 + 0.451457i 0.999957 + 0.00925394i \(0.00294566\pi\)
−0.896915 + 0.442203i \(0.854197\pi\)
\(752\) −6904.02 + 8657.36i −0.334792 + 0.419816i
\(753\) 388.230 486.825i 0.0187887 0.0235603i
\(754\) 605.187 + 2651.50i 0.0292303 + 0.128066i
\(755\) 3200.78 14023.5i 0.154289 0.675985i
\(756\) −5886.28 + 7381.16i −0.283177 + 0.355093i
\(757\) 933.848 + 449.718i 0.0448366 + 0.0215922i 0.456168 0.889894i \(-0.349222\pi\)
−0.411331 + 0.911486i \(0.634936\pi\)
\(758\) 2718.77 + 1309.29i 0.130277 + 0.0627383i
\(759\) −2069.87 + 9068.70i −0.0989875 + 0.433693i
\(760\) 1951.59 + 2447.22i 0.0931469 + 0.116803i
\(761\) −21940.1 + 10565.8i −1.04511 + 0.503297i −0.876005 0.482301i \(-0.839801\pi\)
−0.169102 + 0.985599i \(0.554087\pi\)
\(762\) 479.485 + 601.255i 0.0227951 + 0.0285842i
\(763\) 2090.64 + 9159.68i 0.0991955 + 0.434604i
\(764\) 34870.4 + 16792.7i 1.65126 + 0.795207i
\(765\) −205.445 900.114i −0.00970965 0.0425408i
\(766\) −1133.20 + 545.722i −0.0534520 + 0.0257412i
\(767\) 6189.27 0.291371
\(768\) −4563.12 −0.214398
\(769\) −34946.5 + 16829.3i −1.63876 + 0.789183i −0.638954 + 0.769245i \(0.720633\pi\)
−0.999801 + 0.0199384i \(0.993653\pi\)
\(770\) 526.602 2307.20i 0.0246460 0.107981i
\(771\) −4854.35 + 6087.16i −0.226751 + 0.284337i
\(772\) 20409.6 + 25592.8i 0.95