Properties

Label 177.4.e.a.4.4
Level $177$
Weight $4$
Character 177.4
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.4
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.a.133.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.43911 - 0.374026i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(3.87463 + 0.852870i) q^{4} +(-6.75733 - 5.13679i) q^{5} +(7.53451 - 7.13706i) q^{6} +(2.82453 - 7.08903i) q^{7} +(13.2201 + 4.45438i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(-3.43911 - 0.374026i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(3.87463 + 0.852870i) q^{4} +(-6.75733 - 5.13679i) q^{5} +(7.53451 - 7.13706i) q^{6} +(2.82453 - 7.08903i) q^{7} +(13.2201 + 4.45438i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(21.3179 + 20.1934i) q^{10} +(39.9965 - 18.5043i) q^{11} +(-9.47522 + 7.20287i) q^{12} +(-8.60583 + 52.4932i) q^{13} +(-12.3653 + 23.3235i) q^{14} +(24.8690 - 5.47408i) q^{15} +(-72.6051 - 33.5907i) q^{16} +(-30.5107 - 76.5762i) q^{17} +(1.68559 + 31.0889i) q^{18} +(58.8399 + 86.7824i) q^{19} +(-21.8011 - 25.6663i) q^{20} +(10.7233 + 20.2263i) q^{21} +(-144.473 + 48.6788i) q^{22} +(4.94187 - 91.1473i) q^{23} +(-35.8605 + 21.5765i) q^{24} +(-14.1661 - 51.0217i) q^{25} +(49.2302 - 177.311i) q^{26} +(23.1351 + 13.9200i) q^{27} +(16.9900 - 25.0584i) q^{28} +(-286.769 + 31.1880i) q^{29} +(-87.5748 + 9.52433i) q^{30} +(-105.738 + 155.952i) q^{31} +(141.505 + 85.1408i) q^{32} +(-35.3696 + 127.390i) q^{33} +(76.2883 + 274.766i) q^{34} +(-55.5011 + 33.3939i) q^{35} +(1.93311 - 35.6541i) q^{36} +(-329.102 + 110.887i) q^{37} +(-169.898 - 320.462i) q^{38} +(-103.311 - 121.627i) q^{39} +(-66.4516 - 98.0088i) q^{40} +(8.35177 + 154.039i) q^{41} +(-29.3134 - 73.5712i) q^{42} +(49.4801 + 22.8919i) q^{43} +(170.753 - 37.5856i) q^{44} +(-35.7832 + 67.4942i) q^{45} +(-51.0871 + 311.617i) q^{46} +(-322.673 + 245.289i) q^{47} +(217.815 - 100.772i) q^{48} +(206.740 + 195.835i) q^{49} +(29.6354 + 180.768i) q^{50} +(234.347 + 78.9607i) q^{51} +(-78.1143 + 196.052i) q^{52} +(378.621 - 358.649i) q^{53} +(-74.3579 - 56.5254i) q^{54} +(-365.322 - 80.4135i) q^{55} +(68.9179 - 81.1364i) q^{56} +(-312.703 - 34.0085i) q^{57} +997.895 q^{58} +(-366.736 + 266.240i) q^{59} +101.027 q^{60} +(-865.526 - 94.1316i) q^{61} +(421.975 - 496.787i) q^{62} +(-67.0734 - 14.7640i) q^{63} +(54.6857 + 41.5710i) q^{64} +(327.799 - 310.508i) q^{65} +(169.287 - 424.878i) q^{66} +(96.7159 + 32.5874i) q^{67} +(-52.9082 - 322.726i) q^{68} +(198.809 + 188.322i) q^{69} +(203.365 - 94.0866i) q^{70} +(699.349 - 531.631i) q^{71} +(20.3123 - 123.900i) q^{72} +(168.335 - 317.513i) q^{73} +(1173.29 - 258.261i) q^{74} +(144.173 + 66.7017i) q^{75} +(153.969 + 386.432i) q^{76} +(-18.2067 - 335.802i) q^{77} +(309.807 + 456.931i) q^{78} +(-170.843 - 201.132i) q^{79} +(318.068 + 599.940i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(28.8920 - 532.882i) q^{82} +(-653.438 + 393.161i) q^{83} +(24.2984 + 87.5148i) q^{84} +(-187.185 + 674.178i) q^{85} +(-161.605 - 97.2347i) q^{86} +(485.640 - 716.265i) q^{87} +(611.184 - 66.4703i) q^{88} +(-138.513 + 15.0642i) q^{89} +(148.307 - 218.736i) q^{90} +(347.819 + 209.276i) q^{91} +(96.8847 - 348.947i) q^{92} +(-151.222 - 544.652i) q^{93} +(1201.45 - 722.890i) q^{94} +(48.1821 - 888.666i) q^{95} +(-469.499 + 158.193i) q^{96} +(464.070 + 875.328i) q^{97} +(-637.755 - 750.823i) q^{98} +(-222.581 - 328.283i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + O(q^{10}) \) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + 854q^{10} + 32q^{11} + 192q^{12} - 22q^{13} - 884q^{14} - 42q^{15} - 268q^{16} - 56q^{17} - 18q^{18} - 112q^{19} - 250q^{20} + 243q^{21} + 108q^{22} + 16q^{23} - 54q^{24} - 197q^{25} - 328q^{26} + 405q^{27} + 236q^{28} - 54q^{29} - 126q^{30} + 66q^{31} + 857q^{32} - 96q^{33} + 112q^{34} + 532q^{35} - 576q^{36} + 110q^{37} + 56q^{38} + 66q^{39} - 6044q^{40} + 304q^{41} - 306q^{42} - 324q^{43} - 568q^{44} + 126q^{45} + 5842q^{46} + 4082q^{47} + 804q^{48} + 739q^{49} + 576q^{50} + 168q^{51} - 1372q^{52} - 1498q^{53} + 54q^{54} - 4422q^{55} - 12036q^{56} + 336q^{57} + 6298q^{58} - 3305q^{59} + 750q^{60} - 1718q^{61} - 4333q^{62} + 54q^{63} - 6250q^{64} - 5884q^{65} - 324q^{66} + 382q^{67} + 734q^{68} + 3780q^{69} + 8082q^{70} + 8638q^{71} + 162q^{72} + 8894q^{73} + 12428q^{74} + 243q^{75} - 15468q^{76} - 9916q^{77} + 984q^{78} - 578q^{79} + 24570q^{80} - 1215q^{81} - 1382q^{82} - 32q^{83} + 7557q^{84} + 708q^{85} + 2296q^{86} - 5928q^{87} - 17646q^{88} - 2284q^{89} + 378q^{90} + 11124q^{91} + 762q^{92} - 198q^{93} - 1232q^{94} + 24184q^{95} - 396q^{96} - 658q^{97} - 4356q^{98} + 288q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{29}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.43911 0.374026i −1.21591 0.132238i −0.522409 0.852695i \(-0.674967\pi\)
−0.693500 + 0.720457i \(0.743932\pi\)
\(3\) −1.94216 + 2.28649i −0.373769 + 0.440034i
\(4\) 3.87463 + 0.852870i 0.484328 + 0.106609i
\(5\) −6.75733 5.13679i −0.604394 0.459449i 0.257680 0.966230i \(-0.417042\pi\)
−0.862074 + 0.506782i \(0.830835\pi\)
\(6\) 7.53451 7.13706i 0.512658 0.485616i
\(7\) 2.82453 7.08903i 0.152510 0.382772i −0.832793 0.553584i \(-0.813260\pi\)
0.985304 + 0.170812i \(0.0546391\pi\)
\(8\) 13.2201 + 4.45438i 0.584253 + 0.196858i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) 21.3179 + 20.1934i 0.674132 + 0.638572i
\(11\) 39.9965 18.5043i 1.09631 0.507206i 0.213501 0.976943i \(-0.431513\pi\)
0.882807 + 0.469737i \(0.155651\pi\)
\(12\) −9.47522 + 7.20287i −0.227938 + 0.173274i
\(13\) −8.60583 + 52.4932i −0.183602 + 1.11992i 0.720769 + 0.693176i \(0.243789\pi\)
−0.904371 + 0.426748i \(0.859659\pi\)
\(14\) −12.3653 + 23.3235i −0.236056 + 0.445248i
\(15\) 24.8690 5.47408i 0.428077 0.0942268i
\(16\) −72.6051 33.5907i −1.13445 0.524854i
\(17\) −30.5107 76.5762i −0.435291 1.09250i −0.969051 0.246861i \(-0.920601\pi\)
0.533760 0.845636i \(-0.320778\pi\)
\(18\) 1.68559 + 31.0889i 0.0220721 + 0.407095i
\(19\) 58.8399 + 86.7824i 0.710464 + 1.04786i 0.995988 + 0.0894840i \(0.0285218\pi\)
−0.285525 + 0.958371i \(0.592168\pi\)
\(20\) −21.8011 25.6663i −0.243744 0.286958i
\(21\) 10.7233 + 20.2263i 0.111429 + 0.210178i
\(22\) −144.473 + 48.6788i −1.40008 + 0.471743i
\(23\) 4.94187 91.1473i 0.0448022 0.826328i −0.886645 0.462451i \(-0.846970\pi\)
0.931447 0.363877i \(-0.118547\pi\)
\(24\) −35.8605 + 21.5765i −0.305000 + 0.183512i
\(25\) −14.1661 51.0217i −0.113329 0.408174i
\(26\) 49.2302 177.311i 0.371340 1.33745i
\(27\) 23.1351 + 13.9200i 0.164902 + 0.0992184i
\(28\) 16.9900 25.0584i 0.114672 0.169128i
\(29\) −286.769 + 31.1880i −1.83626 + 0.199706i −0.959594 0.281387i \(-0.909206\pi\)
−0.876670 + 0.481093i \(0.840240\pi\)
\(30\) −87.5748 + 9.52433i −0.532963 + 0.0579632i
\(31\) −105.738 + 155.952i −0.612617 + 0.903542i −0.999830 0.0184483i \(-0.994127\pi\)
0.387213 + 0.921990i \(0.373438\pi\)
\(32\) 141.505 + 85.1408i 0.781713 + 0.470341i
\(33\) −35.3696 + 127.390i −0.186577 + 0.671991i
\(34\) 76.2883 + 274.766i 0.384804 + 1.38594i
\(35\) −55.5011 + 33.3939i −0.268040 + 0.161274i
\(36\) 1.93311 35.6541i 0.00894957 0.165065i
\(37\) −329.102 + 110.887i −1.46227 + 0.492697i −0.934276 0.356551i \(-0.883953\pi\)
−0.527995 + 0.849247i \(0.677056\pi\)
\(38\) −169.898 320.462i −0.725293 1.36805i
\(39\) −103.311 121.627i −0.424180 0.499384i
\(40\) −66.4516 98.0088i −0.262673 0.387414i
\(41\) 8.35177 + 154.039i 0.0318129 + 0.586754i 0.970369 + 0.241627i \(0.0776811\pi\)
−0.938556 + 0.345126i \(0.887836\pi\)
\(42\) −29.3134 73.5712i −0.107694 0.270292i
\(43\) 49.4801 + 22.8919i 0.175480 + 0.0811857i 0.505662 0.862731i \(-0.331248\pi\)
−0.330182 + 0.943917i \(0.607110\pi\)
\(44\) 170.753 37.5856i 0.585046 0.128778i
\(45\) −35.7832 + 67.4942i −0.118539 + 0.223588i
\(46\) −51.0871 + 311.617i −0.163747 + 0.998815i
\(47\) −322.673 + 245.289i −1.00142 + 0.761258i −0.971195 0.238285i \(-0.923415\pi\)
−0.0302230 + 0.999543i \(0.509622\pi\)
\(48\) 217.815 100.772i 0.654977 0.303025i
\(49\) 206.740 + 195.835i 0.602741 + 0.570946i
\(50\) 29.6354 + 180.768i 0.0838216 + 0.511289i
\(51\) 234.347 + 78.9607i 0.643434 + 0.216798i
\(52\) −78.1143 + 196.052i −0.208317 + 0.522837i
\(53\) 378.621 358.649i 0.981275 0.929513i −0.0162467 0.999868i \(-0.505172\pi\)
0.997522 + 0.0703547i \(0.0224131\pi\)
\(54\) −74.3579 56.5254i −0.187386 0.142447i
\(55\) −365.322 80.4135i −0.895637 0.197145i
\(56\) 68.9179 81.1364i 0.164456 0.193613i
\(57\) −312.703 34.0085i −0.726641 0.0790270i
\(58\) 997.895 2.25914
\(59\) −366.736 + 266.240i −0.809236 + 0.587483i
\(60\) 101.027 0.217375
\(61\) −865.526 94.1316i −1.81671 0.197579i −0.864418 0.502773i \(-0.832313\pi\)
−0.952290 + 0.305194i \(0.901279\pi\)
\(62\) 421.975 496.787i 0.864369 1.01761i
\(63\) −67.0734 14.7640i −0.134134 0.0295252i
\(64\) 54.6857 + 41.5710i 0.106808 + 0.0811934i
\(65\) 327.799 310.508i 0.625515 0.592520i
\(66\) 169.287 424.878i 0.315724 0.792408i
\(67\) 96.7159 + 32.5874i 0.176354 + 0.0594206i 0.406093 0.913832i \(-0.366891\pi\)
−0.229739 + 0.973252i \(0.573787\pi\)
\(68\) −52.9082 322.726i −0.0943539 0.575533i
\(69\) 198.809 + 188.322i 0.346867 + 0.328570i
\(70\) 203.365 94.0866i 0.347239 0.160650i
\(71\) 699.349 531.631i 1.16898 0.888634i 0.173614 0.984814i \(-0.444455\pi\)
0.995364 + 0.0961798i \(0.0306624\pi\)
\(72\) 20.3123 123.900i 0.0332476 0.202802i
\(73\) 168.335 317.513i 0.269892 0.509070i −0.711107 0.703084i \(-0.751806\pi\)
0.980999 + 0.194014i \(0.0621506\pi\)
\(74\) 1173.29 258.261i 1.84314 0.405706i
\(75\) 144.173 + 66.7017i 0.221969 + 0.102694i
\(76\) 153.969 + 386.432i 0.232387 + 0.583248i
\(77\) −18.2067 335.802i −0.0269460 0.496990i
\(78\) 309.807 + 456.931i 0.449727 + 0.663298i
\(79\) −170.843 201.132i −0.243308 0.286444i 0.626930 0.779075i \(-0.284311\pi\)
−0.870238 + 0.492631i \(0.836035\pi\)
\(80\) 318.068 + 599.940i 0.444514 + 0.838442i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) 28.8920 532.882i 0.0389096 0.717646i
\(83\) −653.438 + 393.161i −0.864147 + 0.519940i −0.877283 0.479974i \(-0.840646\pi\)
0.0131361 + 0.999914i \(0.495819\pi\)
\(84\) 24.2984 + 87.5148i 0.0315615 + 0.113674i
\(85\) −187.185 + 674.178i −0.238859 + 0.860293i
\(86\) −161.605 97.2347i −0.202632 0.121920i
\(87\) 485.640 716.265i 0.598460 0.882663i
\(88\) 611.184 66.4703i 0.740369 0.0805200i
\(89\) −138.513 + 15.0642i −0.164970 + 0.0179416i −0.190231 0.981739i \(-0.560924\pi\)
0.0252610 + 0.999681i \(0.491958\pi\)
\(90\) 148.307 218.736i 0.173699 0.256187i
\(91\) 347.819 + 209.276i 0.400674 + 0.241077i
\(92\) 96.8847 348.947i 0.109793 0.395438i
\(93\) −151.222 544.652i −0.168613 0.607288i
\(94\) 1201.45 722.890i 1.31830 0.793196i
\(95\) 48.1821 888.666i 0.0520355 0.959739i
\(96\) −469.499 + 158.193i −0.499146 + 0.168182i
\(97\) 464.070 + 875.328i 0.485764 + 0.916248i 0.998339 + 0.0576060i \(0.0183467\pi\)
−0.512575 + 0.858642i \(0.671308\pi\)
\(98\) −637.755 750.823i −0.657377 0.773924i
\(99\) −222.581 328.283i −0.225962 0.333270i
\(100\) −11.3735 209.772i −0.0113735 0.209772i
\(101\) 379.371 + 952.149i 0.373751 + 0.938043i 0.988758 + 0.149522i \(0.0477736\pi\)
−0.615008 + 0.788521i \(0.710847\pi\)
\(102\) −776.412 359.207i −0.753689 0.348694i
\(103\) −1040.87 + 229.113i −0.995729 + 0.219177i −0.682804 0.730601i \(-0.739240\pi\)
−0.312925 + 0.949778i \(0.601309\pi\)
\(104\) −347.595 + 655.634i −0.327736 + 0.618175i
\(105\) 31.4373 191.759i 0.0292187 0.178226i
\(106\) −1436.26 + 1091.82i −1.31606 + 1.00044i
\(107\) −1131.26 + 523.376i −1.02208 + 0.472866i −0.858038 0.513586i \(-0.828317\pi\)
−0.164046 + 0.986453i \(0.552455\pi\)
\(108\) 77.7681 + 73.6659i 0.0692893 + 0.0656343i
\(109\) 294.491 + 1796.31i 0.258781 + 1.57849i 0.721773 + 0.692130i \(0.243328\pi\)
−0.462992 + 0.886363i \(0.653224\pi\)
\(110\) 1226.31 + 413.191i 1.06294 + 0.358147i
\(111\) 385.626 967.848i 0.329748 0.827604i
\(112\) −443.200 + 419.822i −0.373915 + 0.354191i
\(113\) −909.129 691.102i −0.756846 0.575340i 0.154007 0.988070i \(-0.450782\pi\)
−0.910853 + 0.412730i \(0.864575\pi\)
\(114\) 1062.70 + 233.918i 0.873080 + 0.192179i
\(115\) −501.599 + 590.528i −0.406733 + 0.478843i
\(116\) −1137.72 123.735i −0.910645 0.0990386i
\(117\) 478.746 0.378291
\(118\) 1360.83 778.460i 1.06165 0.607314i
\(119\) −629.029 −0.484563
\(120\) 353.156 + 38.4080i 0.268655 + 0.0292179i
\(121\) 395.635 465.778i 0.297247 0.349946i
\(122\) 2941.43 + 647.458i 2.18283 + 0.480476i
\(123\) −368.429 280.073i −0.270082 0.205311i
\(124\) −542.702 + 514.075i −0.393033 + 0.372301i
\(125\) −559.085 + 1403.20i −0.400049 + 1.00405i
\(126\) 225.151 + 75.8621i 0.159191 + 0.0536376i
\(127\) −313.368 1911.46i −0.218952 1.33555i −0.836047 0.548659i \(-0.815139\pi\)
0.617095 0.786889i \(-0.288310\pi\)
\(128\) −1131.67 1071.98i −0.781459 0.740238i
\(129\) −148.440 + 68.6758i −0.101313 + 0.0468726i
\(130\) −1243.48 + 945.266i −0.838924 + 0.637733i
\(131\) −214.438 + 1308.01i −0.143019 + 0.872379i 0.813683 + 0.581309i \(0.197459\pi\)
−0.956702 + 0.291069i \(0.905989\pi\)
\(132\) −245.691 + 463.422i −0.162005 + 0.305574i
\(133\) 781.398 171.999i 0.509442 0.112137i
\(134\) −320.428 148.246i −0.206573 0.0955708i
\(135\) −84.8280 212.902i −0.0540802 0.135731i
\(136\) −62.2565 1148.25i −0.0392533 0.723985i
\(137\) −34.2582 50.5270i −0.0213640 0.0315096i 0.816857 0.576840i \(-0.195714\pi\)
−0.838221 + 0.545331i \(0.816404\pi\)
\(138\) −613.290 722.021i −0.378309 0.445380i
\(139\) −1185.00 2235.14i −0.723094 1.36390i −0.923274 0.384141i \(-0.874498\pi\)
0.200180 0.979759i \(-0.435847\pi\)
\(140\) −243.527 + 82.0538i −0.147013 + 0.0495344i
\(141\) 65.8308 1214.18i 0.0393188 0.725193i
\(142\) −2603.98 + 1566.76i −1.53888 + 0.925915i
\(143\) 627.150 + 2258.79i 0.366748 + 1.32091i
\(144\) −192.618 + 693.747i −0.111469 + 0.401474i
\(145\) 2098.00 + 1262.32i 1.20158 + 0.722968i
\(146\) −697.681 + 1029.00i −0.395483 + 0.583293i
\(147\) −849.295 + 92.3664i −0.476522 + 0.0518248i
\(148\) −1369.72 + 148.966i −0.760745 + 0.0827360i
\(149\) −745.091 + 1098.93i −0.409666 + 0.604212i −0.975418 0.220363i \(-0.929276\pi\)
0.565752 + 0.824576i \(0.308586\pi\)
\(150\) −470.880 283.319i −0.256315 0.154219i
\(151\) 314.261 1131.87i 0.169365 0.609999i −0.829322 0.558772i \(-0.811273\pi\)
0.998687 0.0512276i \(-0.0163134\pi\)
\(152\) 391.310 + 1409.37i 0.208812 + 0.752073i
\(153\) −635.682 + 382.477i −0.335894 + 0.202101i
\(154\) −62.9840 + 1161.67i −0.0329571 + 0.607858i
\(155\) 1515.60 510.665i 0.785393 0.264630i
\(156\) −296.560 559.372i −0.152204 0.287087i
\(157\) −839.739 988.617i −0.426869 0.502549i 0.506115 0.862466i \(-0.331081\pi\)
−0.932984 + 0.359917i \(0.882805\pi\)
\(158\) 512.319 + 755.614i 0.257961 + 0.380465i
\(159\) 84.7035 + 1562.26i 0.0422480 + 0.779218i
\(160\) −518.847 1302.21i −0.256365 0.643428i
\(161\) −632.188 292.481i −0.309462 0.143172i
\(162\) 273.659 60.2370i 0.132720 0.0292140i
\(163\) −935.488 + 1764.52i −0.449528 + 0.847900i 0.550388 + 0.834909i \(0.314480\pi\)
−0.999916 + 0.0129904i \(0.995865\pi\)
\(164\) −99.0155 + 603.968i −0.0471452 + 0.287573i
\(165\) 893.378 679.129i 0.421512 0.320425i
\(166\) 2394.30 1107.72i 1.11948 0.517927i
\(167\) −2194.59 2078.83i −1.01690 0.963261i −0.0175713 0.999846i \(-0.505593\pi\)
−0.999331 + 0.0365851i \(0.988352\pi\)
\(168\) 51.6678 + 315.160i 0.0237277 + 0.144733i
\(169\) −599.487 201.991i −0.272866 0.0919393i
\(170\) 895.909 2248.56i 0.404194 1.01445i
\(171\) 685.080 648.942i 0.306370 0.290209i
\(172\) 172.193 + 130.898i 0.0763348 + 0.0580282i
\(173\) −534.215 117.590i −0.234772 0.0516773i 0.0960257 0.995379i \(-0.469387\pi\)
−0.330798 + 0.943702i \(0.607318\pi\)
\(174\) −1938.07 + 2281.67i −0.844396 + 0.994099i
\(175\) −401.707 43.6883i −0.173521 0.0188716i
\(176\) −3525.52 −1.50992
\(177\) 103.505 1355.62i 0.0439544 0.575675i
\(178\) 481.997 0.202962
\(179\) 2246.05 + 244.273i 0.937864 + 0.101999i 0.564267 0.825592i \(-0.309159\pi\)
0.373597 + 0.927591i \(0.378124\pi\)
\(180\) −196.210 + 230.996i −0.0812480 + 0.0956526i
\(181\) 1642.65 + 361.575i 0.674571 + 0.148484i 0.539029 0.842287i \(-0.318791\pi\)
0.135542 + 0.990772i \(0.456722\pi\)
\(182\) −1117.91 849.816i −0.455304 0.346113i
\(183\) 1896.22 1796.19i 0.765970 0.725565i
\(184\) 471.337 1182.97i 0.188845 0.473965i
\(185\) 2793.46 + 941.225i 1.11016 + 0.374055i
\(186\) 316.355 + 1929.68i 0.124711 + 0.760704i
\(187\) −2637.31 2498.19i −1.03133 0.976931i
\(188\) −1459.44 + 675.207i −0.566172 + 0.261939i
\(189\) 164.025 124.688i 0.0631273 0.0479881i
\(190\) −498.088 + 3038.20i −0.190185 + 1.16007i
\(191\) −1973.26 + 3721.96i −0.747539 + 1.41001i 0.158736 + 0.987321i \(0.449258\pi\)
−0.906275 + 0.422688i \(0.861087\pi\)
\(192\) −201.260 + 44.3007i −0.0756494 + 0.0166517i
\(193\) −1211.20 560.363i −0.451733 0.208994i 0.180812 0.983518i \(-0.442127\pi\)
−0.632545 + 0.774524i \(0.717990\pi\)
\(194\) −1268.59 3183.92i −0.469482 1.17831i
\(195\) 73.3339 + 1352.56i 0.0269310 + 0.496714i
\(196\) 634.019 + 935.108i 0.231057 + 0.340783i
\(197\) −1353.69 1593.69i −0.489575 0.576373i 0.460790 0.887509i \(-0.347566\pi\)
−0.950365 + 0.311137i \(0.899290\pi\)
\(198\) 642.696 + 1212.25i 0.230679 + 0.435107i
\(199\) 3767.34 1269.37i 1.34201 0.452176i 0.445532 0.895266i \(-0.353014\pi\)
0.896477 + 0.443090i \(0.146118\pi\)
\(200\) 39.9924 737.616i 0.0141394 0.260787i
\(201\) −262.348 + 157.850i −0.0920627 + 0.0553923i
\(202\) −948.570 3416.44i −0.330402 1.19000i
\(203\) −588.894 + 2121.01i −0.203607 + 0.733327i
\(204\) 840.664 + 505.811i 0.288521 + 0.173597i
\(205\) 734.832 1083.80i 0.250356 0.369247i
\(206\) 3665.37 398.633i 1.23970 0.134825i
\(207\) −816.715 + 88.8231i −0.274230 + 0.0298243i
\(208\) 2388.11 3522.20i 0.796085 1.17414i
\(209\) 3959.24 + 2382.20i 1.31037 + 0.788421i
\(210\) −179.839 + 647.722i −0.0590956 + 0.212843i
\(211\) −93.3445 336.197i −0.0304555 0.109691i 0.946760 0.321940i \(-0.104335\pi\)
−0.977216 + 0.212249i \(0.931921\pi\)
\(212\) 1772.90 1066.72i 0.574354 0.345577i
\(213\) −142.679 + 2631.56i −0.0458977 + 0.846534i
\(214\) 4086.28 1376.83i 1.30529 0.439804i
\(215\) −216.762 408.857i −0.0687584 0.129692i
\(216\) 243.845 + 287.077i 0.0768127 + 0.0904309i
\(217\) 806.888 + 1190.07i 0.252420 + 0.372292i
\(218\) −340.919 6287.87i −0.105917 1.95352i
\(219\) 399.057 + 1001.56i 0.123131 + 0.309036i
\(220\) −1346.91 623.145i −0.412765 0.190966i
\(221\) 4282.30 942.606i 1.30343 0.286907i
\(222\) −1688.21 + 3184.30i −0.510384 + 0.962687i
\(223\) −492.442 + 3003.77i −0.147876 + 0.902004i 0.803800 + 0.594900i \(0.202808\pi\)
−0.951676 + 0.307104i \(0.900640\pi\)
\(224\) 1003.25 762.652i 0.299252 0.227486i
\(225\) −432.520 + 200.105i −0.128154 + 0.0592904i
\(226\) 2868.10 + 2716.81i 0.844175 + 0.799645i
\(227\) −493.418 3009.72i −0.144270 0.880008i −0.955437 0.295194i \(-0.904616\pi\)
0.811167 0.584814i \(-0.198833\pi\)
\(228\) −1182.60 398.466i −0.343508 0.115741i
\(229\) 41.7112 104.687i 0.0120365 0.0302093i −0.922836 0.385194i \(-0.874135\pi\)
0.934872 + 0.354985i \(0.115514\pi\)
\(230\) 1945.93 1843.28i 0.557872 0.528445i
\(231\) 803.167 + 610.552i 0.228764 + 0.173902i
\(232\) −3930.05 865.069i −1.11216 0.244804i
\(233\) 2835.87 3338.64i 0.797356 0.938720i −0.201815 0.979424i \(-0.564684\pi\)
0.999171 + 0.0407033i \(0.0129598\pi\)
\(234\) −1646.46 179.063i −0.459968 0.0500245i
\(235\) 3440.41 0.955011
\(236\) −1648.03 + 718.803i −0.454567 + 0.198263i
\(237\) 791.689 0.216986
\(238\) 2163.30 + 235.273i 0.589185 + 0.0640777i
\(239\) −2491.72 + 2933.48i −0.674375 + 0.793936i −0.987808 0.155674i \(-0.950245\pi\)
0.313433 + 0.949610i \(0.398521\pi\)
\(240\) −1989.49 437.921i −0.535089 0.117782i
\(241\) 3773.55 + 2868.58i 1.00861 + 0.766727i 0.972567 0.232623i \(-0.0747309\pi\)
0.0360451 + 0.999350i \(0.488524\pi\)
\(242\) −1534.85 + 1453.88i −0.407701 + 0.386195i
\(243\) 89.9436 225.741i 0.0237444 0.0595939i
\(244\) −3273.31 1102.91i −0.858820 0.289370i
\(245\) −391.050 2385.30i −0.101973 0.622005i
\(246\) 1162.31 + 1101.00i 0.301246 + 0.285355i
\(247\) −5061.86 + 2341.86i −1.30396 + 0.603276i
\(248\) −2092.54 + 1590.71i −0.535792 + 0.407299i
\(249\) 370.124 2257.66i 0.0941995 0.574591i
\(250\) 2447.59 4616.64i 0.619196 1.16793i
\(251\) −1003.66 + 220.923i −0.252393 + 0.0555559i −0.339365 0.940655i \(-0.610212\pi\)
0.0869717 + 0.996211i \(0.472281\pi\)
\(252\) −247.293 114.410i −0.0618174 0.0285998i
\(253\) −1488.96 3737.02i −0.370001 0.928633i
\(254\) 362.772 + 6690.93i 0.0896154 + 1.65286i
\(255\) −1177.96 1737.36i −0.289280 0.426657i
\(256\) 3135.24 + 3691.09i 0.765440 + 0.901145i
\(257\) −1416.40 2671.62i −0.343785 0.648447i 0.649979 0.759952i \(-0.274778\pi\)
−0.993764 + 0.111505i \(0.964433\pi\)
\(258\) 536.189 180.663i 0.129386 0.0435953i
\(259\) −143.474 + 2646.22i −0.0344210 + 0.634857i
\(260\) 1534.92 923.533i 0.366123 0.220289i
\(261\) 694.541 + 2501.51i 0.164716 + 0.593255i
\(262\) 1226.71 4418.20i 0.289260 1.04182i
\(263\) −2108.87 1268.87i −0.494444 0.297497i 0.246407 0.969166i \(-0.420750\pi\)
−0.740851 + 0.671670i \(0.765577\pi\)
\(264\) −1035.03 + 1526.56i −0.241295 + 0.355884i
\(265\) −4400.77 + 478.613i −1.02014 + 0.110947i
\(266\) −2751.65 + 299.260i −0.634264 + 0.0689804i
\(267\) 234.571 345.966i 0.0537659 0.0792987i
\(268\) 346.945 + 208.750i 0.0790785 + 0.0475800i
\(269\) 724.722 2610.21i 0.164264 0.591626i −0.834887 0.550422i \(-0.814467\pi\)
0.999151 0.0412040i \(-0.0131193\pi\)
\(270\) 212.102 + 763.922i 0.0478078 + 0.172188i
\(271\) −4325.53 + 2602.58i −0.969583 + 0.583379i −0.909895 0.414838i \(-0.863838\pi\)
−0.0596879 + 0.998217i \(0.519011\pi\)
\(272\) −357.012 + 6584.69i −0.0795846 + 1.46785i
\(273\) −1154.03 + 388.836i −0.255842 + 0.0862031i
\(274\) 98.9192 + 186.581i 0.0218100 + 0.0411379i
\(275\) −1510.72 1778.55i −0.331272 0.390003i
\(276\) 609.697 + 899.236i 0.132969 + 0.196115i
\(277\) 116.423 + 2147.29i 0.0252533 + 0.465769i 0.983623 + 0.180239i \(0.0576870\pi\)
−0.958370 + 0.285530i \(0.907830\pi\)
\(278\) 3239.33 + 8130.12i 0.698858 + 1.75400i
\(279\) 1539.04 + 712.034i 0.330250 + 0.152790i
\(280\) −882.482 + 194.249i −0.188351 + 0.0414593i
\(281\) 942.679 1778.08i 0.200126 0.377479i −0.763054 0.646335i \(-0.776301\pi\)
0.963180 + 0.268856i \(0.0866457\pi\)
\(282\) −680.534 + 4151.07i −0.143706 + 0.876570i
\(283\) 2832.15 2152.94i 0.594890 0.452223i −0.263901 0.964550i \(-0.585009\pi\)
0.858791 + 0.512326i \(0.171216\pi\)
\(284\) 3163.13 1463.42i 0.660905 0.305767i
\(285\) 1938.35 + 1836.10i 0.402869 + 0.381618i
\(286\) −1311.99 8002.80i −0.271258 1.65460i
\(287\) 1115.58 + 375.882i 0.229444 + 0.0773088i
\(288\) 550.136 1380.74i 0.112559 0.282503i
\(289\) −1366.19 + 1294.12i −0.278076 + 0.263408i
\(290\) −6743.11 5125.98i −1.36541 1.03796i
\(291\) −2902.72 638.937i −0.584744 0.128712i
\(292\) 923.033 1086.68i 0.184988 0.217784i
\(293\) 1591.97 + 173.137i 0.317419 + 0.0345214i 0.265442 0.964127i \(-0.414482\pi\)
0.0519772 + 0.998648i \(0.483448\pi\)
\(294\) 2955.37 0.586260
\(295\) 3845.78 + 84.7732i 0.759016 + 0.0167311i
\(296\) −4844.71 −0.951328
\(297\) 1182.90 + 128.648i 0.231108 + 0.0251345i
\(298\) 2973.48 3500.65i 0.578017 0.680494i
\(299\) 4742.09 + 1043.81i 0.917198 + 0.201891i
\(300\) 501.730 + 381.405i 0.0965580 + 0.0734015i
\(301\) 302.039 286.107i 0.0578381 0.0547871i
\(302\) −1504.12 + 3775.07i −0.286598 + 0.719307i
\(303\) −2913.87 981.799i −0.552468 0.186148i
\(304\) −1357.00 8277.32i −0.256017 1.56163i
\(305\) 5365.11 + 5082.10i 1.00723 + 0.954100i
\(306\) 2329.24 1077.62i 0.435142 0.201318i
\(307\) 6180.92 4698.61i 1.14907 0.873498i 0.155623 0.987817i \(-0.450262\pi\)
0.993444 + 0.114319i \(0.0364685\pi\)
\(308\) 215.852 1316.64i 0.0399327 0.243579i
\(309\) 1497.67 2824.91i 0.275727 0.520076i
\(310\) −5403.32 + 1189.36i −0.989961 + 0.217907i
\(311\) −7693.27 3559.28i −1.40272 0.648966i −0.434868 0.900494i \(-0.643205\pi\)
−0.967850 + 0.251528i \(0.919067\pi\)
\(312\) −824.014 2068.12i −0.149521 0.375270i
\(313\) 41.5196 + 765.784i 0.00749784 + 0.138290i 0.999885 + 0.0151358i \(0.00481807\pi\)
−0.992388 + 0.123154i \(0.960699\pi\)
\(314\) 2518.19 + 3714.05i 0.452578 + 0.667503i
\(315\) 377.398 + 444.307i 0.0675047 + 0.0794726i
\(316\) −490.413 925.017i −0.0873035 0.164672i
\(317\) 7369.05 2482.92i 1.30564 0.439921i 0.421365 0.906891i \(-0.361551\pi\)
0.884273 + 0.466971i \(0.154655\pi\)
\(318\) 293.023 5404.48i 0.0516726 0.953045i
\(319\) −10892.6 + 6553.88i −1.91182 + 1.15030i
\(320\) −155.988 561.818i −0.0272500 0.0981456i
\(321\) 1000.39 3603.09i 0.173945 0.626495i
\(322\) 2064.77 + 1242.33i 0.357345 + 0.215007i
\(323\) 4850.22 7153.53i 0.835521 1.23230i
\(324\) −319.474 + 34.7449i −0.0547795 + 0.00595763i
\(325\) 2800.21 304.541i 0.477931 0.0519781i
\(326\) 3877.22 5718.47i 0.658710 0.971524i
\(327\) −4679.20 2815.38i −0.791315 0.476119i
\(328\) −575.739 + 2073.62i −0.0969203 + 0.349075i
\(329\) 827.466 + 2980.26i 0.138662 + 0.499414i
\(330\) −3326.44 + 2001.45i −0.554892 + 0.333868i
\(331\) 94.1483 1736.46i 0.0156340 0.288353i −0.980253 0.197748i \(-0.936637\pi\)
0.995887 0.0906047i \(-0.0288800\pi\)
\(332\) −2867.14 + 966.054i −0.473961 + 0.159696i
\(333\) 1464.02 + 2761.44i 0.240925 + 0.454433i
\(334\) 6769.91 + 7970.15i 1.10908 + 1.30571i
\(335\) −486.147 717.013i −0.0792867 0.116939i
\(336\) −99.1510 1828.73i −0.0160986 0.296921i
\(337\) −1130.78 2838.04i −0.182782 0.458747i 0.808823 0.588052i \(-0.200105\pi\)
−0.991605 + 0.129305i \(0.958726\pi\)
\(338\) 1986.15 + 918.892i 0.319623 + 0.147873i
\(339\) 3345.87 736.481i 0.536055 0.117995i
\(340\) −1300.26 + 2452.54i −0.207401 + 0.391200i
\(341\) −1343.36 + 8194.14i −0.213334 + 1.30128i
\(342\) −2598.79 + 1975.55i −0.410895 + 0.312355i
\(343\) 4347.74 2011.48i 0.684420 0.316646i
\(344\) 552.164 + 523.038i 0.0865427 + 0.0819776i
\(345\) −376.049 2293.80i −0.0586835 0.357953i
\(346\) 1793.24 + 604.214i 0.278628 + 0.0938808i
\(347\) −2621.08 + 6578.42i −0.405496 + 1.01772i 0.574465 + 0.818529i \(0.305210\pi\)
−0.979961 + 0.199189i \(0.936169\pi\)
\(348\) 2492.55 2361.07i 0.383951 0.363698i
\(349\) 9468.82 + 7198.01i 1.45231 + 1.10401i 0.974193 + 0.225715i \(0.0724717\pi\)
0.478112 + 0.878299i \(0.341321\pi\)
\(350\) 1365.18 + 300.498i 0.208491 + 0.0458922i
\(351\) −929.801 + 1094.65i −0.141393 + 0.166461i
\(352\) 7235.18 + 786.873i 1.09556 + 0.119149i
\(353\) −9921.20 −1.49590 −0.747949 0.663756i \(-0.768961\pi\)
−0.747949 + 0.663756i \(0.768961\pi\)
\(354\) −863.002 + 4623.40i −0.129571 + 0.694156i
\(355\) −7456.61 −1.11481
\(356\) −549.535 59.7655i −0.0818126 0.00889766i
\(357\) 1221.67 1438.27i 0.181115 0.213224i
\(358\) −7633.05 1680.16i −1.12687 0.248043i
\(359\) 1219.77 + 927.244i 0.179323 + 0.136318i 0.690985 0.722869i \(-0.257177\pi\)
−0.511662 + 0.859187i \(0.670970\pi\)
\(360\) −773.703 + 732.891i −0.113272 + 0.107296i
\(361\) −1530.27 + 3840.69i −0.223104 + 0.559949i
\(362\) −5514.03 1857.89i −0.800582 0.269748i
\(363\) 296.608 + 1809.23i 0.0428867 + 0.261598i
\(364\) 1169.18 + 1107.51i 0.168357 + 0.159476i
\(365\) −2768.49 + 1280.84i −0.397013 + 0.183678i
\(366\) −7193.13 + 5468.08i −1.02730 + 0.780931i
\(367\) 1525.41 9304.57i 0.216963 1.32342i −0.623617 0.781730i \(-0.714337\pi\)
0.840580 0.541688i \(-0.182214\pi\)
\(368\) −3420.51 + 6451.76i −0.484528 + 0.913916i
\(369\) 1355.93 298.463i 0.191292 0.0421066i
\(370\) −9254.97 4281.80i −1.30039 0.601623i
\(371\) −1473.05 3697.07i −0.206137 0.517365i
\(372\) −121.411 2239.30i −0.0169217 0.312102i
\(373\) −985.830 1453.99i −0.136848 0.201836i 0.753090 0.657918i \(-0.228563\pi\)
−0.889938 + 0.456082i \(0.849252\pi\)
\(374\) 8135.62 + 9577.99i 1.12482 + 1.32424i
\(375\) −2122.56 4003.57i −0.292289 0.551316i
\(376\) −5358.39 + 1805.45i −0.734942 + 0.247631i
\(377\) 830.726 15321.8i 0.113487 2.09314i
\(378\) −610.736 + 367.468i −0.0831029 + 0.0500013i
\(379\) 1964.75 + 7076.40i 0.266286 + 0.959077i 0.968889 + 0.247495i \(0.0796073\pi\)
−0.702603 + 0.711582i \(0.747979\pi\)
\(380\) 944.604 3402.16i 0.127519 0.459281i
\(381\) 4979.13 + 2995.85i 0.669524 + 0.402839i
\(382\) 8178.37 12062.2i 1.09540 1.61559i
\(383\) 3224.95 350.734i 0.430254 0.0467929i 0.109570 0.993979i \(-0.465053\pi\)
0.320684 + 0.947186i \(0.396087\pi\)
\(384\) 4648.96 505.604i 0.617815 0.0671915i
\(385\) −1601.92 + 2362.65i −0.212055 + 0.312758i
\(386\) 3955.88 + 2380.17i 0.521629 + 0.313854i
\(387\) 131.268 472.786i 0.0172422 0.0621009i
\(388\) 1051.56 + 3787.36i 0.137589 + 0.495552i
\(389\) −8746.83 + 5262.79i −1.14006 + 0.685949i −0.954949 0.296769i \(-0.904091\pi\)
−0.185107 + 0.982718i \(0.559263\pi\)
\(390\) 253.691 4679.05i 0.0329388 0.607520i
\(391\) −7130.49 + 2402.54i −0.922262 + 0.310746i
\(392\) 1860.81 + 3509.86i 0.239758 + 0.452231i
\(393\) −2574.28 3030.68i −0.330421 0.389001i
\(394\) 4059.41 + 5987.18i 0.519061 + 0.765557i
\(395\) 121.270 + 2236.70i 0.0154475 + 0.284913i
\(396\) −582.437 1461.81i −0.0739106 0.185502i
\(397\) −7203.29 3332.60i −0.910637 0.421306i −0.0920938 0.995750i \(-0.529356\pi\)
−0.818543 + 0.574445i \(0.805218\pi\)
\(398\) −13431.1 + 2956.41i −1.69156 + 0.372340i
\(399\) −1124.33 + 2120.71i −0.141070 + 0.266085i
\(400\) −685.323 + 4180.29i −0.0856654 + 0.522536i
\(401\) 2626.20 1996.39i 0.327048 0.248616i −0.428746 0.903425i \(-0.641044\pi\)
0.755794 + 0.654810i \(0.227251\pi\)
\(402\) 961.284 444.737i 0.119265 0.0551778i
\(403\) −7276.46 6892.63i −0.899420 0.851976i
\(404\) 657.861 + 4012.78i 0.0810144 + 0.494166i
\(405\) 651.547 + 219.532i 0.0799399 + 0.0269349i
\(406\) 2818.58 7074.11i 0.344542 0.864735i
\(407\) −11111.0 + 10524.9i −1.35320 + 1.28182i
\(408\) 2746.38 + 2087.74i 0.333250 + 0.253330i
\(409\) 1800.07 + 396.226i 0.217623 + 0.0479025i 0.322444 0.946589i \(-0.395496\pi\)
−0.104820 + 0.994491i \(0.533427\pi\)
\(410\) −2932.54 + 3452.45i −0.353238 + 0.415864i
\(411\) 182.064 + 19.8007i 0.0218505 + 0.00237639i
\(412\) −4228.39 −0.505626
\(413\) 851.528 + 3351.80i 0.101455 + 0.399350i
\(414\) 2842.00 0.337383
\(415\) 6435.08 + 699.858i 0.761171 + 0.0827823i
\(416\) −5687.09 + 6695.36i −0.670270 + 0.789103i
\(417\) 7412.07 + 1631.52i 0.870433 + 0.191597i
\(418\) −12725.3 9673.49i −1.48903 1.13193i
\(419\) 4880.09 4622.66i 0.568993 0.538978i −0.348201 0.937420i \(-0.613207\pi\)
0.917194 + 0.398441i \(0.130449\pi\)
\(420\) 285.353 716.182i 0.0331519 0.0832051i
\(421\) −4377.11 1474.82i −0.506715 0.170732i 0.0543208 0.998524i \(-0.482701\pi\)
−0.561036 + 0.827791i \(0.689597\pi\)
\(422\) 195.276 + 1191.13i 0.0225258 + 0.137401i
\(423\) 2648.35 + 2508.65i 0.304414 + 0.288356i
\(424\) 6602.98 3054.86i 0.756295 0.349899i
\(425\) −3474.83 + 2641.50i −0.396598 + 0.301486i
\(426\) 1474.96 8996.88i 0.167752 1.02324i
\(427\) −3112.00 + 5869.86i −0.352694 + 0.665252i
\(428\) −4829.58 + 1063.07i −0.545436 + 0.120060i
\(429\) −6382.71 2952.96i −0.718323 0.332331i
\(430\) 592.547 + 1487.18i 0.0664538 + 0.166786i
\(431\) −94.2400 1738.15i −0.0105322 0.194255i −0.999064 0.0432453i \(-0.986230\pi\)
0.988532 0.151010i \(-0.0482525\pi\)
\(432\) −1212.15 1787.78i −0.134999 0.199108i
\(433\) 3950.36 + 4650.73i 0.438435 + 0.516166i 0.936354 0.351058i \(-0.114178\pi\)
−0.497919 + 0.867224i \(0.665902\pi\)
\(434\) −2329.86 4394.58i −0.257689 0.486052i
\(435\) −6960.94 + 2345.41i −0.767244 + 0.258515i
\(436\) −390.980 + 7211.21i −0.0429463 + 0.792097i
\(437\) 8200.77 4934.24i 0.897702 0.540129i
\(438\) −997.792 3593.72i −0.108850 0.392043i
\(439\) −4490.67 + 16173.9i −0.488218 + 1.75840i 0.150140 + 0.988665i \(0.452027\pi\)
−0.638359 + 0.769739i \(0.720386\pi\)
\(440\) −4471.42 2690.36i −0.484469 0.291496i
\(441\) 1438.27 2121.29i 0.155304 0.229056i
\(442\) −15079.9 + 1640.03i −1.62280 + 0.176490i
\(443\) 8647.39 940.460i 0.927426 0.100864i 0.368077 0.929795i \(-0.380016\pi\)
0.559350 + 0.828932i \(0.311051\pi\)
\(444\) 2319.61 3421.16i 0.247936 0.365678i
\(445\) 1013.36 + 609.719i 0.107950 + 0.0649516i
\(446\) 2817.05 10146.1i 0.299083 1.07720i
\(447\) −1065.60 3837.93i −0.112754 0.406103i
\(448\) 449.160 270.250i 0.0473679 0.0285003i
\(449\) 618.364 11405.1i 0.0649942 1.19875i −0.766139 0.642675i \(-0.777825\pi\)
0.831133 0.556073i \(-0.187693\pi\)
\(450\) 1562.33 526.410i 0.163664 0.0551449i
\(451\) 3184.44 + 6006.48i 0.332482 + 0.627127i
\(452\) −2933.11 3453.13i −0.305226 0.359340i
\(453\) 1977.65 + 2916.81i 0.205117 + 0.302525i
\(454\) 571.207 + 10535.3i 0.0590487 + 1.08909i
\(455\) −1275.32 3200.82i −0.131402 0.329795i
\(456\) −3982.49 1842.50i −0.408985 0.189217i
\(457\) 7876.22 1733.69i 0.806202 0.177458i 0.207296 0.978278i \(-0.433534\pi\)
0.598905 + 0.800820i \(0.295603\pi\)
\(458\) −182.605 + 344.430i −0.0186301 + 0.0351401i
\(459\) 360.067 2196.31i 0.0366154 0.223344i
\(460\) −2447.15 + 1860.28i −0.248041 + 0.188556i
\(461\) 10555.9 4883.66i 1.06645 0.493394i 0.193452 0.981110i \(-0.438032\pi\)
0.873003 + 0.487715i \(0.162170\pi\)
\(462\) −2533.82 2400.16i −0.255160 0.241700i
\(463\) 2612.78 + 15937.2i 0.262259 + 1.59971i 0.709108 + 0.705100i \(0.249098\pi\)
−0.446849 + 0.894610i \(0.647454\pi\)
\(464\) 21868.5 + 7368.36i 2.18797 + 0.737214i
\(465\) −1775.91 + 4457.19i −0.177109 + 0.444510i
\(466\) −11001.6 + 10421.3i −1.09365 + 1.03596i
\(467\) 5176.66 + 3935.20i 0.512949 + 0.389934i 0.829383 0.558681i \(-0.188692\pi\)
−0.316433 + 0.948615i \(0.602485\pi\)
\(468\) 1854.96 + 408.308i 0.183217 + 0.0403292i
\(469\) 504.190 593.578i 0.0496403 0.0584411i
\(470\) −11831.9 1286.80i −1.16121 0.126289i
\(471\) 3891.36 0.380689
\(472\) −6034.24 + 1886.15i −0.588450 + 0.183934i
\(473\) 2402.63 0.233558
\(474\) −2722.71 296.112i −0.263836 0.0286938i
\(475\) 3594.26 4231.49i 0.347191 0.408745i
\(476\) −2437.25 536.480i −0.234688 0.0516587i
\(477\) −3736.60 2840.49i −0.358674 0.272657i
\(478\) 9666.49 9156.58i 0.924968 0.876176i
\(479\) −3889.85 + 9762.79i −0.371048 + 0.931259i 0.618334 + 0.785916i \(0.287808\pi\)
−0.989381 + 0.145344i \(0.953571\pi\)
\(480\) 3985.16 + 1342.76i 0.378952 + 0.127684i
\(481\) −2988.64 18229.9i −0.283306 1.72809i
\(482\) −11904.7 11276.8i −1.12499 1.06565i
\(483\) 1896.56 877.444i 0.178668 0.0826606i
\(484\) 1930.19 1467.29i 0.181272 0.137800i
\(485\) 1360.50 8298.71i 0.127376 0.776959i
\(486\) −393.759 + 742.708i −0.0367516 + 0.0693209i
\(487\) 3201.61 704.727i 0.297903 0.0655734i −0.0635040 0.997982i \(-0.520228\pi\)
0.361407 + 0.932408i \(0.382297\pi\)
\(488\) −11023.1 5099.82i −1.02252 0.473069i
\(489\) −2217.68 5565.95i −0.205086 0.514726i
\(490\) 452.701 + 8349.57i 0.0417366 + 0.769786i
\(491\) −8650.83 12759.0i −0.795125 1.17272i −0.981729 0.190287i \(-0.939058\pi\)
0.186603 0.982435i \(-0.440252\pi\)
\(492\) −1188.66 1399.40i −0.108921 0.128231i
\(493\) 11137.8 + 21008.1i 1.01749 + 1.91918i
\(494\) 18284.2 6160.67i 1.66527 0.561096i
\(495\) −182.265 + 3361.67i −0.0165499 + 0.305244i
\(496\) 12915.7 7771.09i 1.16921 0.703492i
\(497\) −1793.42 6459.31i −0.161863 0.582977i
\(498\) −2117.32 + 7625.90i −0.190521 + 0.686194i
\(499\) −4114.96 2475.89i −0.369160 0.222116i 0.318870 0.947798i \(-0.396697\pi\)
−0.688030 + 0.725682i \(0.741524\pi\)
\(500\) −3362.99 + 4960.04i −0.300795 + 0.443639i
\(501\) 9015.46 980.490i 0.803954 0.0874353i
\(502\) 3534.34 384.383i 0.314234 0.0341750i
\(503\) 5057.76 7459.64i 0.448339 0.661250i −0.534617 0.845095i \(-0.679544\pi\)
0.982955 + 0.183845i \(0.0588544\pi\)
\(504\) −820.955 493.953i −0.0725561 0.0436555i
\(505\) 2327.46 8382.74i 0.205090 0.738667i
\(506\) 3722.97 + 13408.9i 0.327087 + 1.17806i
\(507\) 1626.15 978.420i 0.142445 0.0857064i
\(508\) 416.042 7673.45i 0.0363364 0.670186i
\(509\) 15328.4 5164.73i 1.33481 0.449750i 0.440722 0.897643i \(-0.354722\pi\)
0.894087 + 0.447894i \(0.147826\pi\)
\(510\) 3401.31 + 6415.55i 0.295318 + 0.557030i
\(511\) −1775.40 2090.16i −0.153696 0.180945i
\(512\) −2403.70 3545.19i −0.207479 0.306009i
\(513\) 153.263 + 2826.77i 0.0131905 + 0.243285i
\(514\) 3871.91 + 9717.76i 0.332262 + 0.833914i
\(515\) 8210.42 + 3798.54i 0.702513 + 0.325017i
\(516\) −633.722 + 139.493i −0.0540660 + 0.0119008i
\(517\) −8366.85 + 15781.6i −0.711748 + 1.34250i
\(518\) 1483.18 9046.98i 0.125805 0.767377i
\(519\) 1306.40 993.098i 0.110490 0.0839926i
\(520\) 5716.67 2644.82i 0.482101 0.223044i
\(521\) 8692.22 + 8233.71i 0.730928 + 0.692371i 0.959674 0.281115i \(-0.0907041\pi\)
−0.228747 + 0.973486i \(0.573463\pi\)
\(522\) −1452.97 8862.75i −0.121829 0.743126i
\(523\) −5401.95 1820.13i −0.451646 0.152177i 0.0842801 0.996442i \(-0.473141\pi\)
−0.535926 + 0.844265i \(0.680037\pi\)
\(524\) −1946.43 + 4885.17i −0.162271 + 0.407271i
\(525\) 880.072 833.648i 0.0731609 0.0693017i
\(526\) 6778.06 + 5152.55i 0.561858 + 0.427114i
\(527\) 15168.3 + 3338.81i 1.25378 + 0.275978i
\(528\) 6847.12 8061.05i 0.564361 0.664417i
\(529\) 3812.26 + 414.608i 0.313328 + 0.0340765i
\(530\) 15313.8 1.25507
\(531\) 2898.58 + 2869.49i 0.236888 + 0.234511i
\(532\) 3174.32 0.258692
\(533\) −8157.90 887.225i −0.662960 0.0721013i
\(534\) −936.114 + 1102.08i −0.0758607 + 0.0893101i
\(535\) 10332.8 + 2274.41i 0.834999 + 0.183797i
\(536\) 1133.44 + 861.619i 0.0913380 + 0.0694334i
\(537\) −4920.71 + 4661.14i −0.395427 + 0.374568i
\(538\) −3468.68 + 8705.74i −0.277966 + 0.697642i
\(539\) 11892.7 + 4007.10i 0.950377 + 0.320219i
\(540\) −147.099 897.264i −0.0117225 0.0715039i
\(541\) 553.622 + 524.418i 0.0439964 + 0.0416756i 0.709382 0.704824i \(-0.248974\pi\)
−0.665385 + 0.746500i \(0.731733\pi\)
\(542\) 15849.4 7332.71i 1.25607 0.581120i
\(543\) −4017.03 + 3053.67i −0.317472 + 0.241336i
\(544\) 2202.33 13433.6i 0.173574 1.05875i
\(545\) 7237.32 13651.0i 0.568831 1.07293i
\(546\) 4114.26 905.616i 0.322480 0.0709832i
\(547\) −13049.3 6037.23i −1.02001 0.471907i −0.162683 0.986678i \(-0.552015\pi\)
−0.857327 + 0.514771i \(0.827877\pi\)
\(548\) −89.6446 224.991i −0.00698801 0.0175386i
\(549\) 424.214 + 7824.17i 0.0329782 + 0.608247i
\(550\) 4530.30 + 6681.69i 0.351223 + 0.518015i
\(551\) −19580.0 23051.4i −1.51386 1.78226i
\(552\) 1789.43 + 3375.22i 0.137977 + 0.260251i
\(553\) −1908.38 + 643.008i −0.146750 + 0.0494457i
\(554\) 402.751 7428.31i 0.0308867 0.569672i
\(555\) −7577.44 + 4559.19i −0.579539 + 0.348697i
\(556\) −2685.14 9670.98i −0.204811 0.737664i
\(557\) 1175.86 4235.06i 0.0894484 0.322164i −0.905266 0.424845i \(-0.860328\pi\)
0.994714 + 0.102682i \(0.0327423\pi\)
\(558\) −5026.60 3024.40i −0.381349 0.229450i
\(559\) −1627.49 + 2400.37i −0.123140 + 0.181618i
\(560\) 5151.39 560.247i 0.388725 0.0422764i
\(561\) 10834.2 1178.29i 0.815363 0.0886761i
\(562\) −3907.03 + 5762.44i −0.293253 + 0.432515i
\(563\) 10245.1 + 6164.26i 0.766925 + 0.461444i 0.844508 0.535542i \(-0.179893\pi\)
−0.0775832 + 0.996986i \(0.524720\pi\)
\(564\) 1290.61 4648.34i 0.0963552 0.347040i
\(565\) 2593.24 + 9340.01i 0.193095 + 0.695464i
\(566\) −10545.3 + 6344.91i −0.783133 + 0.471196i
\(567\) −33.4639 + 617.205i −0.00247857 + 0.0457146i
\(568\) 11613.6 3913.07i 0.857914 0.289065i
\(569\) −4053.49 7645.70i −0.298649 0.563312i 0.688090 0.725625i \(-0.258449\pi\)
−0.986739 + 0.162313i \(0.948104\pi\)
\(570\) −5979.44 7039.54i −0.439388 0.517287i
\(571\) −6237.28 9199.30i −0.457131 0.674218i 0.527362 0.849641i \(-0.323181\pi\)
−0.984493 + 0.175423i \(0.943871\pi\)
\(572\) 503.518 + 9286.84i 0.0368062 + 0.678850i
\(573\) −4677.83 11740.5i −0.341046 0.855960i
\(574\) −3696.01 1709.96i −0.268760 0.124342i
\(575\) −4720.50 + 1039.06i −0.342363 + 0.0753597i
\(576\) 289.586 546.217i 0.0209481 0.0395122i
\(577\) −3145.67 + 19187.8i −0.226960 + 1.38440i 0.589861 + 0.807505i \(0.299183\pi\)
−0.816821 + 0.576891i \(0.804266\pi\)
\(578\) 5182.51 3939.64i 0.372948 0.283508i
\(579\) 3633.61 1681.09i 0.260808 0.120663i
\(580\) 7052.37 + 6680.36i 0.504886 + 0.478253i
\(581\) 941.474 + 5742.74i 0.0672271 + 0.410067i
\(582\) 9743.80 + 3283.07i 0.693975 + 0.233828i
\(583\) 8506.94 21350.8i 0.604325 1.51674i
\(584\) 3639.74 3447.74i 0.257900 0.244296i
\(585\) −3235.05 2459.22i −0.228637 0.173805i
\(586\) −5410.20 1190.87i −0.381388 0.0839498i
\(587\) −4921.57 + 5794.12i −0.346056 + 0.407409i −0.907464 0.420131i \(-0.861984\pi\)
0.561407 + 0.827540i \(0.310260\pi\)
\(588\) −3369.48 366.453i −0.236318 0.0257011i
\(589\) −19755.5 −1.38202
\(590\) −13194.3 1729.96i −0.920682 0.120714i
\(591\) 6273.02 0.436612
\(592\) 27619.3 + 3003.78i 1.91747 + 0.208538i
\(593\) −4802.16 + 5653.54i −0.332548 + 0.391506i −0.902869 0.429916i \(-0.858543\pi\)
0.570321 + 0.821422i \(0.306819\pi\)
\(594\) −4020.02 884.873i −0.277682 0.0611225i
\(595\) 4250.56 + 3231.19i 0.292867 + 0.222632i
\(596\) −3824.19 + 3622.47i −0.262827 + 0.248963i
\(597\) −4414.39 + 11079.3i −0.302628 + 0.759539i
\(598\) −15918.2 5363.45i −1.08853 0.366769i
\(599\) −3247.41 19808.3i −0.221512 1.35116i −0.830073 0.557655i \(-0.811701\pi\)
0.608561 0.793507i \(-0.291747\pi\)
\(600\) 1608.88 + 1524.01i 0.109470 + 0.103696i
\(601\) −4094.28 + 1894.22i −0.277886 + 0.128564i −0.553882 0.832595i \(-0.686854\pi\)
0.275997 + 0.961159i \(0.410992\pi\)
\(602\) −1145.76 + 870.983i −0.0775708 + 0.0589678i
\(603\) 148.601 906.424i 0.0100356 0.0612147i
\(604\) 2182.98 4117.53i 0.147060 0.277384i
\(605\) −5066.04 + 1115.12i −0.340436 + 0.0749357i
\(606\) 9653.92 + 4466.38i 0.647135 + 0.299396i
\(607\) −4136.57 10382.0i −0.276603 0.694221i −0.999993 0.00378156i \(-0.998796\pi\)
0.723390 0.690440i \(-0.242583\pi\)
\(608\) 937.428 + 17289.8i 0.0625291 + 1.15328i
\(609\) −3705.92 5465.83i −0.246587 0.363689i
\(610\) −16550.4 19484.6i −1.09853 1.29329i
\(611\) −10099.2 19049.1i −0.668689 1.26128i
\(612\) −2789.23 + 939.802i −0.184229 + 0.0620739i
\(613\) −158.774 + 2928.41i −0.0104614 + 0.192949i 0.988631 + 0.150360i \(0.0480433\pi\)
−0.999093 + 0.0425887i \(0.986439\pi\)
\(614\) −23014.3 + 13847.2i −1.51267 + 0.910144i
\(615\) 1050.92 + 3785.09i 0.0689063 + 0.248178i
\(616\) 1255.10 4520.45i 0.0820930 0.295672i
\(617\) −11477.8 6905.95i −0.748911 0.450605i 0.0892628 0.996008i \(-0.471549\pi\)
−0.838174 + 0.545403i \(0.816376\pi\)
\(618\) −6207.26 + 9155.02i −0.404033 + 0.595904i
\(619\) 14450.9 1571.64i 0.938340 0.102051i 0.373849 0.927490i \(-0.378038\pi\)
0.564491 + 0.825439i \(0.309072\pi\)
\(620\) 6307.91 686.027i 0.408600 0.0444379i
\(621\) 1383.10 2039.92i 0.0893749 0.131818i
\(622\) 25126.7 + 15118.3i 1.61976 + 0.974577i
\(623\) −284.444 + 1024.47i −0.0182921 + 0.0658823i
\(624\) 3415.37 + 12301.1i 0.219109 + 0.789161i
\(625\) 5314.34 3197.53i 0.340117 0.204642i
\(626\) 143.632 2649.14i 0.00917046 0.169139i
\(627\) −13136.3 + 4426.14i −0.836706 + 0.281919i
\(628\) −2410.51 4546.71i −0.153169 0.288907i
\(629\) 18532.5 + 21818.1i 1.17478 + 1.38306i
\(630\) −1131.73 1669.18i −0.0715702 0.105558i
\(631\) −378.625 6983.33i −0.0238872 0.440574i −0.985875 0.167482i \(-0.946436\pi\)
0.961988 0.273092i \(-0.0880463\pi\)
\(632\) −1362.65 3419.99i −0.0857646 0.215253i
\(633\) 949.999 + 439.516i 0.0596510 + 0.0275975i
\(634\) −26271.7 + 5782.83i −1.64571 + 0.362249i
\(635\) −7701.23 + 14526.1i −0.481282 + 0.907794i
\(636\) −1004.21 + 6125.43i −0.0626095 + 0.381901i
\(637\) −12059.2 + 9167.14i −0.750081 + 0.570197i
\(638\) 39912.3 18465.4i 2.47671 1.14585i
\(639\) −5739.93 5437.15i −0.355349 0.336605i
\(640\) 2140.57 + 13056.9i 0.132208 + 0.806436i
\(641\) −28474.1 9594.03i −1.75454 0.591172i −0.756511 0.653981i \(-0.773097\pi\)
−0.998026 + 0.0628093i \(0.979994\pi\)
\(642\) −4788.11 + 12017.2i −0.294348 + 0.738759i
\(643\) −4087.41 + 3871.80i −0.250687 + 0.237463i −0.802716 0.596362i \(-0.796612\pi\)
0.552029 + 0.833825i \(0.313854\pi\)
\(644\) −2200.04 1672.43i −0.134618 0.102334i
\(645\) 1355.83 + 298.441i 0.0827688 + 0.0182188i
\(646\) −19356.0 + 22787.7i −1.17887 + 1.38788i
\(647\) −20996.0 2283.46i −1.27580 0.138751i −0.554972 0.831869i \(-0.687271\pi\)
−0.720824 + 0.693118i \(0.756236\pi\)
\(648\) −1129.98 −0.0685029
\(649\) −9741.54 + 17434.9i −0.589197 + 1.05451i
\(650\) −9744.13 −0.587994
\(651\) −4288.19 466.368i −0.258168 0.0280774i
\(652\) −5129.57 + 6039.00i −0.308113 + 0.362738i
\(653\) 15807.2 + 3479.42i 0.947293 + 0.208515i 0.661643 0.749819i \(-0.269860\pi\)
0.285650 + 0.958334i \(0.407791\pi\)
\(654\) 15039.3 + 11432.5i 0.899207 + 0.683559i
\(655\) 8168.02 7737.16i 0.487253 0.461551i
\(656\) 4567.90 11464.6i 0.271870 0.682342i
\(657\) −3065.08 1032.74i −0.182009 0.0613260i
\(658\) −1731.05 10559.0i −0.102558 0.625579i
\(659\) 1855.06 + 1757.21i 0.109656 + 0.103871i 0.740563 0.671987i \(-0.234559\pi\)
−0.630908 + 0.775858i \(0.717317\pi\)
\(660\) 4040.72 1869.43i 0.238310 0.110254i
\(661\) 3726.38 2832.72i 0.219273 0.166687i −0.489771 0.871851i \(-0.662920\pi\)
0.709044 + 0.705164i \(0.249127\pi\)
\(662\) −973.269 + 5936.68i −0.0571407 + 0.348543i
\(663\) −6161.66 + 11622.1i −0.360933 + 0.680793i
\(664\) −10389.8 + 2286.98i −0.607235 + 0.133662i
\(665\) −6163.69 2851.63i −0.359425 0.166288i
\(666\) −4002.09 10044.5i −0.232850 0.584409i
\(667\) 1425.53 + 26292.4i 0.0827537 + 1.52630i
\(668\) −6730.25 9926.38i −0.389822 0.574945i
\(669\) −5911.67 6959.75i −0.341642 0.402212i
\(670\) 1403.73 + 2647.72i 0.0809416 + 0.152672i
\(671\) −36359.8 + 12251.0i −2.09188 + 0.704838i
\(672\) −204.681 + 3775.11i −0.0117496 + 0.216708i
\(673\) −24559.8 + 14777.2i −1.40670 + 0.846385i −0.997807 0.0661952i \(-0.978914\pi\)
−0.408897 + 0.912581i \(0.634086\pi\)
\(674\) 2827.37 + 10183.3i 0.161582 + 0.581966i
\(675\) 382.485 1377.59i 0.0218102 0.0785531i
\(676\) −2150.52 1293.92i −0.122355 0.0736187i
\(677\) 7128.77 10514.1i 0.404698 0.596886i −0.569662 0.821879i \(-0.692926\pi\)
0.974360 + 0.224994i \(0.0722361\pi\)
\(678\) −11782.3 + 1281.40i −0.667397 + 0.0725838i
\(679\) 7516.00 817.415i 0.424798 0.0461996i
\(680\) −5477.65 + 8078.93i −0.308909 + 0.455607i
\(681\) 7839.97 + 4717.15i 0.441158 + 0.265436i
\(682\) 7684.79 27678.1i 0.431475 1.55403i
\(683\) 4536.23 + 16338.0i 0.254135 + 0.915310i 0.974994 + 0.222229i \(0.0713333\pi\)
−0.720860 + 0.693081i \(0.756253\pi\)
\(684\) 3207.89 1930.12i 0.179323 0.107895i
\(685\) −28.0529 + 517.405i −0.00156474 + 0.0288599i
\(686\) −15704.7 + 5291.53i −0.874065 + 0.294507i
\(687\) 158.356 + 298.691i 0.00879427 + 0.0165877i
\(688\) −2823.55 3324.14i −0.156463 0.184203i
\(689\) 15568.3 + 22961.5i 0.860820 + 1.26961i
\(690\) 435.335 + 8029.28i 0.0240187 + 0.442999i
\(691\) −10197.7 25594.3i −0.561416 1.40905i −0.886219 0.463266i \(-0.846678\pi\)
0.324804 0.945781i \(-0.394702\pi\)
\(692\) −1969.60 911.232i −0.108198 0.0500576i
\(693\) −2955.90 + 650.642i −0.162028 + 0.0356650i
\(694\) 11474.7 21643.6i 0.627627 1.18383i
\(695\) −3474.03 + 21190.7i −0.189608 + 1.15656i
\(696\) 9610.75 7305.90i 0.523412 0.397887i
\(697\) 11540.9 5339.40i 0.627179 0.290164i
\(698\) −29872.1 28296.4i −1.61988 1.53443i
\(699\) 2126.05 + 12968.4i 0.115043 + 0.701728i
\(700\) −1519.21 511.880i −0.0820294 0.0276389i
\(701\) −2188.45 + 5492.59i −0.117912 + 0.295938i −0.976073 0.217444i \(-0.930228\pi\)
0.858160 + 0.513382i \(0.171607\pi\)
\(702\) 3607.11 3416.84i 0.193934 0.183704i
\(703\) −28987.4 22035.7i −1.55517 1.18221i
\(704\) 2956.48 + 650.770i 0.158276 + 0.0348393i
\(705\) −6681.82 + 7866.45i −0.356953 + 0.420238i
\(706\) 34120.1 + 3710.79i 1.81888 + 0.197815i
\(707\) 7821.36 0.416057
\(708\) 1557.21 5164.23i 0.0826603 0.274130i
\(709\) 10692.7 0.566391 0.283195 0.959062i \(-0.408605\pi\)
0.283195 + 0.959062i \(0.408605\pi\)
\(710\) 25644.1 + 2788.97i 1.35550 + 0.147420i
\(711\) −1537.59 + 1810.19i −0.0811026 + 0.0954814i
\(712\) −1898.27 417.840i −0.0999165 0.0219933i
\(713\) 13692.1 + 10408.4i 0.719175 + 0.546703i
\(714\) −4739.42 + 4489.42i −0.248415 + 0.235311i
\(715\) 7365.07 18484.9i 0.385228 0.966849i
\(716\) 8494.27 + 2862.05i 0.443360 + 0.149385i
\(717\) −1868.04 11394.6i −0.0972989 0.593497i
\(718\) −3848.11 3645.12i −0.200014 0.189463i
\(719\) −17771.9 + 8222.16i −0.921809 + 0.426474i −0.822618 0.568594i \(-0.807487\pi\)
−0.0991908 + 0.995068i \(0.531625\pi\)
\(720\) 4865.22 3698.44i 0.251828 0.191434i
\(721\) −1315.78 + 8025.90i −0.0679642 + 0.414564i
\(722\) 6699.29 12636.2i 0.345321 0.651345i
\(723\) −13887.8 + 3056.93i −0.714374 + 0.157246i
\(724\) 6056.29 + 2801.94i 0.310884 + 0.143830i
\(725\) 5653.67 + 14189.6i 0.289616 + 0.726883i
\(726\) −343.370 6333.08i −0.0175532 0.323750i
\(727\) −15427.3 22753.6i −0.787027 1.16078i −0.983613 0.180292i \(-0.942296\pi\)
0.196586 0.980487i \(-0.437014\pi\)
\(728\) 3666.02 + 4315.97i 0.186637 + 0.219726i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) 10000.2 3369.47i 0.507021 0.170835i
\(731\) 243.302 4487.44i 0.0123103 0.227051i
\(732\) 8879.06 5342.35i 0.448333 0.269753i
\(733\) −3529.86 12713.4i −0.177870 0.640629i −0.997685 0.0680011i \(-0.978338\pi\)
0.819816 0.572628i \(-0.194076\pi\)
\(734\) −8726.19 + 31428.9i −0.438814 + 1.58047i
\(735\) 6213.44 + 3738.50i 0.311818 + 0.187615i
\(736\) 8459.66 12477.1i 0.423678 0.624879i
\(737\) 4471.30 486.283i 0.223477 0.0243046i
\(738\) −4774.83 + 519.294i −0.238162 + 0.0259017i
\(739\) −533.549 + 786.925i −0.0265587 + 0.0391712i −0.840737 0.541444i \(-0.817878\pi\)
0.814178 + 0.580616i \(0.197188\pi\)
\(740\) 10020.9 + 6029.35i 0.497803 + 0.299518i
\(741\) 4476.29 16122.1i 0.221917 0.799273i
\(742\) 3683.17 + 13265.6i 0.182229 + 0.656328i
\(743\) −33489.0 + 20149.7i −1.65356 + 0.994913i −0.691381 + 0.722490i \(0.742997\pi\)
−0.962178 + 0.272423i \(0.912175\pi\)
\(744\) 426.915 7873.98i 0.0210369 0.388003i
\(745\) 10679.8 3598.44i 0.525204 0.176962i
\(746\) 2846.55 + 5369.16i 0.139704 + 0.263511i
\(747\) 4443.26 + 5231.02i 0.217631 + 0.256215i
\(748\) −8087.97 11928.9i −0.395355 0.583105i
\(749\) 514.957 + 9497.82i 0.0251217 + 0.463342i
\(750\) 5802.28 + 14562.6i 0.282492 + 0.709002i
\(751\) 3518.82 + 1627.98i 0.170977 + 0.0791022i 0.503511 0.863989i \(-0.332042\pi\)
−0.332534 + 0.943091i \(0.607904\pi\)
\(752\) 31667.1 6970.46i 1.53561 0.338014i
\(753\) 1444.14 2723.93i 0.0698901 0.131827i
\(754\) −8587.72 + 52382.8i −0.414783 + 2.53006i
\(755\) −7937.72 + 6034.10i −0.382627 + 0.290865i
\(756\) 741.878 343.229i 0.0356903 0.0165121i
\(757\) −21614.6 20474.4i −1.03777 0.983033i −0.0379069 0.999281i \(-0.512069\pi\)
−0.999868 + 0.0162487i \(0.994828\pi\)
\(758\) −4110.24 25071.4i −0.196954 1.20136i
\(759\) 11436.4 + 3853.39i 0.546926 + 0.184281i
\(760\) 4595.43 11533.7i 0.219334 0.550487i
\(761\) 5635.09 5337.84i 0.268426 0.254266i −0.541633 0.840615i \(-0.682194\pi\)
0.810059 + 0.586349i \(0.199435\pi\)
\(762\) −16003.3 12165.4i −0.760810 0.578353i
\(763\) 13565.9 + 2986.09i 0.643669 + 0.141682i
\(764\) −10820.0 + 12738.3i −0.512374 + 0.603213i
\(765\) 6260.22 + 680.840i 0.295868 + 0.0321775i
\(766\) −11222.1 −0.529337
\(767\) −10819.7 21542.4i −0.509359 1.01415i
\(768\) −14528.8 −0.682632
\(769\) −26211.3 2850.65i −1.22913 0.133676i −0.529583 0.848258i \(-0.677652\pi\)
−0.699552 + 0.714582i \(0.746617\pi\)
\(770\) 6392.86 7526.26i 0.299198 0.352244i
\(771\) 8859.49 + 1950.12i 0.413835