Properties

Label 177.4.e.a.4.12
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 4.12
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.a.133.12

$q$-expansion

\(f(q)\) \(=\) \(q+(3.41158 + 0.371031i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(3.68824 + 0.811842i) q^{4} +(-7.61387 - 5.78791i) q^{5} +(-7.47419 + 7.07992i) q^{6} +(7.80642 - 19.5926i) q^{7} +(-13.7350 - 4.62785i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(3.41158 + 0.371031i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(3.68824 + 0.811842i) q^{4} +(-7.61387 - 5.78791i) q^{5} +(-7.47419 + 7.07992i) q^{6} +(7.80642 - 19.5926i) q^{7} +(-13.7350 - 4.62785i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(-23.8278 - 22.5709i) q^{10} +(14.1102 - 6.52809i) q^{11} +(-9.01941 + 6.85638i) q^{12} +(8.34196 - 50.8837i) q^{13} +(33.9017 - 63.9454i) q^{14} +(28.0213 - 6.16796i) q^{15} +(-72.5607 - 33.5702i) q^{16} +(8.64645 + 21.7009i) q^{17} +(-1.67209 - 30.8400i) q^{18} +(-17.9506 - 26.4751i) q^{19} +(-23.3829 - 27.5285i) q^{20} +(29.6370 + 55.9013i) q^{21} +(50.5603 - 17.0357i) q^{22} +(0.433515 - 7.99572i) q^{23} +(37.2570 - 22.4168i) q^{24} +(-8.96998 - 32.3069i) q^{25} +(47.3387 - 170.499i) q^{26} +(23.1351 + 13.9200i) q^{27} +(44.6981 - 65.9247i) q^{28} +(19.5129 - 2.12216i) q^{29} +(97.8854 - 10.6457i) q^{30} +(-78.5909 + 115.913i) q^{31} +(-135.739 - 81.6714i) q^{32} +(-12.4779 + 44.9414i) q^{33} +(21.4463 + 77.2426i) q^{34} +(-172.838 + 103.993i) q^{35} +(1.84012 - 33.9389i) q^{36} +(65.8331 - 22.1817i) q^{37} +(-51.4167 - 96.9822i) q^{38} +(100.143 + 117.898i) q^{39} +(77.7906 + 114.733i) q^{40} +(-8.26791 - 152.493i) q^{41} +(80.3678 + 201.708i) q^{42} +(-23.6667 - 10.9494i) q^{43} +(57.3417 - 12.6219i) q^{44} +(-40.3189 + 76.0495i) q^{45} +(4.44563 - 27.1172i) q^{46} +(-231.285 + 175.818i) q^{47} +(217.682 - 100.710i) q^{48} +(-73.9150 - 70.0160i) q^{49} +(-18.6149 - 113.546i) q^{50} +(-66.4117 - 22.3767i) q^{51} +(72.0767 - 180.899i) q^{52} +(-27.7955 + 26.3293i) q^{53} +(73.7626 + 56.0729i) q^{54} +(-145.217 - 31.9648i) q^{55} +(-197.893 + 232.977i) q^{56} +(95.3979 + 10.3751i) q^{57} +67.3573 q^{58} +(396.938 + 218.675i) q^{59} +108.357 q^{60} +(-401.308 - 43.6448i) q^{61} +(-311.126 + 366.286i) q^{62} +(-185.377 - 40.8046i) q^{63} +(76.4000 + 58.0778i) q^{64} +(-358.025 + 339.139i) q^{65} +(-59.2441 + 148.692i) q^{66} +(268.711 + 90.5394i) q^{67} +(14.2724 + 87.0578i) q^{68} +(17.4401 + 16.5202i) q^{69} +(-628.234 + 290.652i) q^{70} +(485.431 - 369.015i) q^{71} +(-21.1033 + 128.725i) q^{72} +(233.130 - 439.730i) q^{73} +(232.825 - 51.2486i) q^{74} +(91.2905 + 42.2355i) q^{75} +(-44.7124 - 112.220i) q^{76} +(-17.7521 - 327.418i) q^{77} +(297.903 + 439.375i) q^{78} +(-71.9026 - 84.6503i) q^{79} +(358.167 + 675.574i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(28.3729 - 523.308i) q^{82} +(347.340 - 208.988i) q^{83} +(63.9252 + 230.238i) q^{84} +(59.7703 - 215.273i) q^{85} +(-76.6783 - 46.1358i) q^{86} +(-33.0449 + 48.7377i) q^{87} +(-224.015 + 24.3630i) q^{88} +(1270.88 - 138.216i) q^{89} +(-165.768 + 244.489i) q^{90} +(-931.826 - 560.661i) q^{91} +(8.09017 - 29.1382i) q^{92} +(-112.397 - 404.818i) q^{93} +(-854.281 + 514.004i) q^{94} +(-16.5623 + 305.475i) q^{95} +(450.367 - 151.746i) q^{96} +(-460.557 - 868.703i) q^{97} +(-226.189 - 266.290i) q^{98} +(-78.5239 - 115.814i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.41158 + 0.371031i 1.20618 + 0.131179i 0.689039 0.724724i \(-0.258033\pi\)
0.517136 + 0.855903i \(0.326998\pi\)
\(3\) −1.94216 + 2.28649i −0.373769 + 0.440034i
\(4\) 3.68824 + 0.811842i 0.461030 + 0.101480i
\(5\) −7.61387 5.78791i −0.681005 0.517687i 0.206522 0.978442i \(-0.433785\pi\)
−0.887527 + 0.460755i \(0.847579\pi\)
\(6\) −7.47419 + 7.07992i −0.508554 + 0.481728i
\(7\) 7.80642 19.5926i 0.421507 1.05790i −0.552927 0.833230i \(-0.686489\pi\)
0.974434 0.224674i \(-0.0721316\pi\)
\(8\) −13.7350 4.62785i −0.607005 0.204524i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) −23.8278 22.5709i −0.753502 0.713755i
\(11\) 14.1102 6.52809i 0.386763 0.178936i −0.216865 0.976202i \(-0.569583\pi\)
0.603628 + 0.797266i \(0.293721\pi\)
\(12\) −9.01941 + 6.85638i −0.216973 + 0.164939i
\(13\) 8.34196 50.8837i 0.177973 1.08558i −0.735151 0.677903i \(-0.762889\pi\)
0.913124 0.407682i \(-0.133663\pi\)
\(14\) 33.9017 63.9454i 0.647187 1.22072i
\(15\) 28.0213 6.16796i 0.482338 0.106171i
\(16\) −72.5607 33.5702i −1.13376 0.524534i
\(17\) 8.64645 + 21.7009i 0.123357 + 0.309603i 0.977667 0.210161i \(-0.0673990\pi\)
−0.854310 + 0.519765i \(0.826020\pi\)
\(18\) −1.67209 30.8400i −0.0218954 0.403836i
\(19\) −17.9506 26.4751i −0.216745 0.319674i 0.703737 0.710461i \(-0.251513\pi\)
−0.920481 + 0.390786i \(0.872203\pi\)
\(20\) −23.3829 27.5285i −0.261429 0.307777i
\(21\) 29.6370 + 55.9013i 0.307968 + 0.580889i
\(22\) 50.5603 17.0357i 0.489977 0.165092i
\(23\) 0.433515 7.99572i 0.00393018 0.0724879i −0.995910 0.0903472i \(-0.971202\pi\)
0.999841 + 0.0178593i \(0.00568509\pi\)
\(24\) 37.2570 22.4168i 0.316877 0.190659i
\(25\) −8.96998 32.3069i −0.0717598 0.258456i
\(26\) 47.3387 170.499i 0.357073 1.28606i
\(27\) 23.1351 + 13.9200i 0.164902 + 0.0992184i
\(28\) 44.6981 65.9247i 0.301684 0.444950i
\(29\) 19.5129 2.12216i 0.124947 0.0135888i −0.0454318 0.998967i \(-0.514466\pi\)
0.170379 + 0.985379i \(0.445501\pi\)
\(30\) 97.8854 10.6457i 0.595712 0.0647876i
\(31\) −78.5909 + 115.913i −0.455333 + 0.671567i −0.984184 0.177148i \(-0.943313\pi\)
0.528851 + 0.848715i \(0.322623\pi\)
\(32\) −135.739 81.6714i −0.749859 0.451175i
\(33\) −12.4779 + 44.9414i −0.0658221 + 0.237070i
\(34\) 21.4463 + 77.2426i 0.108177 + 0.389617i
\(35\) −172.838 + 103.993i −0.834711 + 0.502229i
\(36\) 1.84012 33.9389i 0.00851905 0.157125i
\(37\) 65.8331 22.1817i 0.292510 0.0985582i −0.169221 0.985578i \(-0.554125\pi\)
0.461731 + 0.887020i \(0.347229\pi\)
\(38\) −51.4167 96.9822i −0.219497 0.414016i
\(39\) 100.143 + 117.898i 0.411174 + 0.484072i
\(40\) 77.7906 + 114.733i 0.307494 + 0.453520i
\(41\) −8.26791 152.493i −0.0314934 0.580862i −0.971110 0.238633i \(-0.923301\pi\)
0.939616 0.342229i \(-0.111182\pi\)
\(42\) 80.3678 + 201.708i 0.295262 + 0.741053i
\(43\) −23.6667 10.9494i −0.0839335 0.0388318i 0.377473 0.926020i \(-0.376793\pi\)
−0.461407 + 0.887189i \(0.652655\pi\)
\(44\) 57.3417 12.6219i 0.196468 0.0432458i
\(45\) −40.3189 + 76.0495i −0.133564 + 0.251929i
\(46\) 4.44563 27.1172i 0.0142494 0.0869176i
\(47\) −231.285 + 175.818i −0.717795 + 0.545654i −0.899084 0.437776i \(-0.855766\pi\)
0.181289 + 0.983430i \(0.441973\pi\)
\(48\) 217.682 100.710i 0.654577 0.302840i
\(49\) −73.9150 70.0160i −0.215496 0.204128i
\(50\) −18.6149 113.546i −0.0526509 0.321156i
\(51\) −66.4117 22.3767i −0.182343 0.0614385i
\(52\) 72.0767 180.899i 0.192216 0.482426i
\(53\) −27.7955 + 26.3293i −0.0720377 + 0.0682378i −0.722871 0.690983i \(-0.757178\pi\)
0.650834 + 0.759220i \(0.274420\pi\)
\(54\) 73.7626 + 56.0729i 0.185886 + 0.141307i
\(55\) −145.217 31.9648i −0.356020 0.0783660i
\(56\) −197.893 + 232.977i −0.472224 + 0.555945i
\(57\) 95.3979 + 10.3751i 0.221680 + 0.0241092i
\(58\) 67.3573 0.152491
\(59\) 396.938 + 218.675i 0.875881 + 0.482527i
\(60\) 108.357 0.233146
\(61\) −401.308 43.6448i −0.842331 0.0916090i −0.323228 0.946321i \(-0.604768\pi\)
−0.519102 + 0.854712i \(0.673734\pi\)
\(62\) −311.126 + 366.286i −0.637308 + 0.750296i
\(63\) −185.377 40.8046i −0.370720 0.0816016i
\(64\) 76.4000 + 58.0778i 0.149219 + 0.113433i
\(65\) −358.025 + 339.139i −0.683193 + 0.647155i
\(66\) −59.2441 + 148.692i −0.110492 + 0.277313i
\(67\) 268.711 + 90.5394i 0.489975 + 0.165092i 0.553435 0.832893i \(-0.313317\pi\)
−0.0634596 + 0.997984i \(0.520213\pi\)
\(68\) 14.2724 + 87.0578i 0.0254527 + 0.155255i
\(69\) 17.4401 + 16.5202i 0.0304282 + 0.0288231i
\(70\) −628.234 + 290.652i −1.07269 + 0.496279i
\(71\) 485.431 369.015i 0.811409 0.616817i −0.114987 0.993367i \(-0.536683\pi\)
0.926396 + 0.376550i \(0.122890\pi\)
\(72\) −21.1033 + 128.725i −0.0345424 + 0.210699i
\(73\) 233.130 439.730i 0.373778 0.705021i −0.623253 0.782021i \(-0.714189\pi\)
0.997031 + 0.0769996i \(0.0245340\pi\)
\(74\) 232.825 51.2486i 0.365748 0.0805071i
\(75\) 91.2905 + 42.2355i 0.140551 + 0.0650258i
\(76\) −44.7124 112.220i −0.0674850 0.169375i
\(77\) −17.7521 327.418i −0.0262732 0.484581i
\(78\) 297.903 + 439.375i 0.432448 + 0.637813i
\(79\) −71.9026 84.6503i −0.102401 0.120556i 0.708574 0.705636i \(-0.249339\pi\)
−0.810975 + 0.585081i \(0.801063\pi\)
\(80\) 358.167 + 675.574i 0.500553 + 0.944143i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) 28.3729 523.308i 0.0382106 0.704753i
\(83\) 347.340 208.988i 0.459344 0.276378i −0.267016 0.963692i \(-0.586038\pi\)
0.726361 + 0.687314i \(0.241210\pi\)
\(84\) 63.9252 + 230.238i 0.0830335 + 0.299060i
\(85\) 59.7703 215.273i 0.0762705 0.274702i
\(86\) −76.6783 46.1358i −0.0961445 0.0578482i
\(87\) −33.0449 + 48.7377i −0.0407217 + 0.0600601i
\(88\) −224.015 + 24.3630i −0.271364 + 0.0295126i
\(89\) 1270.88 138.216i 1.51362 0.164617i 0.686705 0.726937i \(-0.259057\pi\)
0.826920 + 0.562320i \(0.190091\pi\)
\(90\) −165.768 + 244.489i −0.194150 + 0.286349i
\(91\) −931.826 560.661i −1.07343 0.645860i
\(92\) 8.09017 29.1382i 0.00916803 0.0330202i
\(93\) −112.397 404.818i −0.125323 0.451373i
\(94\) −854.281 + 514.004i −0.937365 + 0.563994i
\(95\) −16.5623 + 305.475i −0.0178870 + 0.329906i
\(96\) 450.367 151.746i 0.478806 0.161329i
\(97\) −460.557 868.703i −0.482087 0.909313i −0.998593 0.0530294i \(-0.983112\pi\)
0.516506 0.856284i \(-0.327233\pi\)
\(98\) −226.189 266.290i −0.233148 0.274483i
\(99\) −78.5239 115.814i −0.0797166 0.117573i
\(100\) −6.85526 126.438i −0.00685526 0.126438i
\(101\) 569.216 + 1428.62i 0.560783 + 1.40746i 0.886826 + 0.462104i \(0.152905\pi\)
−0.326042 + 0.945355i \(0.605715\pi\)
\(102\) −218.266 100.981i −0.211878 0.0980253i
\(103\) 490.579 107.985i 0.469303 0.103301i 0.0259784 0.999663i \(-0.491730\pi\)
0.443325 + 0.896361i \(0.353799\pi\)
\(104\) −350.059 + 660.281i −0.330058 + 0.622556i
\(105\) 97.8997 597.162i 0.0909908 0.555019i
\(106\) −104.595 + 79.5113i −0.0958415 + 0.0728568i
\(107\) 994.464 460.088i 0.898490 0.415686i 0.0844053 0.996432i \(-0.473101\pi\)
0.814085 + 0.580746i \(0.197239\pi\)
\(108\) 74.0271 + 70.1222i 0.0659561 + 0.0624769i
\(109\) −29.2518 178.428i −0.0257047 0.156792i 0.970855 0.239667i \(-0.0770381\pi\)
−0.996560 + 0.0828748i \(0.973590\pi\)
\(110\) −483.561 162.931i −0.419143 0.141226i
\(111\) −77.1400 + 193.607i −0.0659622 + 0.165553i
\(112\) −1224.17 + 1159.59i −1.03279 + 0.978315i
\(113\) 816.941 + 621.022i 0.680100 + 0.516999i 0.887237 0.461313i \(-0.152622\pi\)
−0.207137 + 0.978312i \(0.566415\pi\)
\(114\) 321.608 + 70.7913i 0.264222 + 0.0581597i
\(115\) −49.5792 + 58.3692i −0.0402025 + 0.0473300i
\(116\) 73.6912 + 8.01440i 0.0589833 + 0.00641482i
\(117\) −464.067 −0.366692
\(118\) 1273.05 + 893.305i 0.993168 + 0.696910i
\(119\) 492.677 0.379526
\(120\) −413.416 44.9617i −0.314496 0.0342035i
\(121\) −705.188 + 830.212i −0.529818 + 0.623751i
\(122\) −1352.90 297.795i −1.00398 0.220993i
\(123\) 364.730 + 277.260i 0.267371 + 0.203250i
\(124\) −383.965 + 363.711i −0.278073 + 0.263405i
\(125\) −561.196 + 1408.49i −0.401559 + 1.00784i
\(126\) −617.289 207.989i −0.436449 0.147057i
\(127\) −392.619 2394.87i −0.274325 1.67331i −0.660455 0.750865i \(-0.729637\pi\)
0.386130 0.922444i \(-0.373812\pi\)
\(128\) 1159.16 + 1098.02i 0.800442 + 0.758219i
\(129\) 71.0001 32.8482i 0.0484590 0.0224195i
\(130\) −1347.26 + 1024.16i −0.908944 + 0.690961i
\(131\) −147.676 + 900.787i −0.0984928 + 0.600779i 0.890750 + 0.454494i \(0.150180\pi\)
−0.989242 + 0.146285i \(0.953268\pi\)
\(132\) −82.5069 + 155.625i −0.0544038 + 0.102617i
\(133\) −658.848 + 145.023i −0.429544 + 0.0945498i
\(134\) 883.137 + 408.583i 0.569339 + 0.263404i
\(135\) −95.5805 239.889i −0.0609352 0.152936i
\(136\) −18.3300 338.076i −0.0115572 0.213160i
\(137\) 469.851 + 692.979i 0.293008 + 0.432155i 0.945491 0.325649i \(-0.105583\pi\)
−0.652483 + 0.757804i \(0.726272\pi\)
\(138\) 53.3689 + 62.8307i 0.0329207 + 0.0387573i
\(139\) 597.885 + 1127.73i 0.364834 + 0.688150i 0.996177 0.0873532i \(-0.0278409\pi\)
−0.631343 + 0.775504i \(0.717496\pi\)
\(140\) −721.892 + 243.234i −0.435793 + 0.146836i
\(141\) 47.1861 870.297i 0.0281829 0.519803i
\(142\) 1793.00 1078.81i 1.05961 0.637549i
\(143\) −214.466 772.438i −0.125417 0.451710i
\(144\) −192.500 + 693.323i −0.111401 + 0.401229i
\(145\) −160.852 96.7814i −0.0921243 0.0554293i
\(146\) 958.496 1413.68i 0.543326 0.801347i
\(147\) 303.645 33.0234i 0.170369 0.0185288i
\(148\) 260.816 28.3654i 0.144858 0.0157542i
\(149\) 1453.35 2143.53i 0.799080 1.17855i −0.181684 0.983357i \(-0.558155\pi\)
0.980764 0.195198i \(-0.0625348\pi\)
\(150\) 295.774 + 177.961i 0.160999 + 0.0968699i
\(151\) 560.038 2017.07i 0.301823 1.08707i −0.644702 0.764434i \(-0.723018\pi\)
0.946524 0.322633i \(-0.104568\pi\)
\(152\) 124.028 + 446.707i 0.0661841 + 0.238373i
\(153\) 180.146 108.390i 0.0951892 0.0572734i
\(154\) 60.9197 1123.60i 0.0318770 0.587936i
\(155\) 1269.27 427.668i 0.657745 0.221620i
\(156\) 273.638 + 516.137i 0.140440 + 0.264897i
\(157\) −2279.68 2683.84i −1.15884 1.36429i −0.919372 0.393389i \(-0.871302\pi\)
−0.239469 0.970904i \(-0.576973\pi\)
\(158\) −213.893 315.469i −0.107699 0.158844i
\(159\) −6.21829 114.690i −0.00310152 0.0572042i
\(160\) 560.792 + 1407.48i 0.277090 + 0.695445i
\(161\) −153.273 70.9117i −0.0750286 0.0347119i
\(162\) −271.469 + 59.7548i −0.131658 + 0.0289801i
\(163\) 1415.26 2669.46i 0.680070 1.28275i −0.267611 0.963527i \(-0.586234\pi\)
0.947680 0.319221i \(-0.103421\pi\)
\(164\) 93.3060 569.141i 0.0444267 0.270991i
\(165\) 355.122 269.957i 0.167553 0.127370i
\(166\) 1262.52 584.104i 0.590305 0.273104i
\(167\) −1180.74 1118.46i −0.547116 0.518255i 0.363454 0.931612i \(-0.381598\pi\)
−0.910569 + 0.413357i \(0.864356\pi\)
\(168\) −148.360 904.958i −0.0681324 0.415589i
\(169\) −437.570 147.435i −0.199167 0.0671072i
\(170\) 283.784 712.244i 0.128031 0.321333i
\(171\) −209.001 + 197.976i −0.0934659 + 0.0885356i
\(172\) −78.3993 59.5976i −0.0347552 0.0264202i
\(173\) −2535.91 558.195i −1.11446 0.245311i −0.380685 0.924705i \(-0.624312\pi\)
−0.733774 + 0.679394i \(0.762243\pi\)
\(174\) −130.819 + 154.012i −0.0569962 + 0.0671011i
\(175\) −703.002 76.4561i −0.303668 0.0330259i
\(176\) −1243.00 −0.532355
\(177\) −1270.92 + 482.892i −0.539705 + 0.205064i
\(178\) 4386.97 1.84729
\(179\) −435.874 47.4042i −0.182004 0.0197941i 0.0166630 0.999861i \(-0.494696\pi\)
−0.198667 + 0.980067i \(0.563661\pi\)
\(180\) −210.446 + 247.756i −0.0871428 + 0.102592i
\(181\) −3228.13 710.566i −1.32567 0.291801i −0.504955 0.863146i \(-0.668491\pi\)
−0.820710 + 0.571345i \(0.806422\pi\)
\(182\) −2970.97 2258.48i −1.21002 0.919831i
\(183\) 879.196 832.819i 0.355148 0.336414i
\(184\) −42.9573 + 107.815i −0.0172112 + 0.0431967i
\(185\) −629.630 212.147i −0.250223 0.0843101i
\(186\) −233.252 1422.77i −0.0919507 0.560875i
\(187\) 263.669 + 249.761i 0.103109 + 0.0976701i
\(188\) −995.770 + 460.692i −0.386298 + 0.178720i
\(189\) 453.331 344.614i 0.174471 0.132629i
\(190\) −169.844 + 1036.01i −0.0648516 + 0.395577i
\(191\) 482.466 910.028i 0.182775 0.344750i −0.775146 0.631782i \(-0.782324\pi\)
0.957921 + 0.287032i \(0.0926686\pi\)
\(192\) −281.175 + 61.8913i −0.105688 + 0.0232637i
\(193\) 2126.46 + 983.803i 0.793086 + 0.366921i 0.774232 0.632901i \(-0.218136\pi\)
0.0188540 + 0.999822i \(0.493998\pi\)
\(194\) −1248.91 3134.53i −0.462199 1.16003i
\(195\) −80.0959 1477.28i −0.0294143 0.542515i
\(196\) −215.774 318.243i −0.0786349 0.115978i
\(197\) −561.744 661.336i −0.203160 0.239179i 0.651141 0.758957i \(-0.274291\pi\)
−0.854301 + 0.519778i \(0.826015\pi\)
\(198\) −224.920 424.243i −0.0807290 0.152271i
\(199\) 5098.74 1717.97i 1.81628 0.611976i 0.816901 0.576778i \(-0.195690\pi\)
0.999380 0.0351987i \(-0.0112064\pi\)
\(200\) −26.3093 + 485.246i −0.00930174 + 0.171560i
\(201\) −728.897 + 438.563i −0.255783 + 0.153900i
\(202\) 1411.86 + 5085.06i 0.491773 + 1.77121i
\(203\) 110.748 398.877i 0.0382904 0.137910i
\(204\) −226.776 136.446i −0.0778307 0.0468292i
\(205\) −819.663 + 1208.91i −0.279257 + 0.411874i
\(206\) 1713.72 186.378i 0.579613 0.0630367i
\(207\) −71.6447 + 7.79183i −0.0240563 + 0.00261628i
\(208\) −2313.47 + 3412.12i −0.771204 + 1.13744i
\(209\) −426.119 256.387i −0.141030 0.0848549i
\(210\) 555.558 2000.94i 0.182558 0.657514i
\(211\) 385.940 + 1390.03i 0.125920 + 0.453525i 0.999447 0.0332520i \(-0.0105864\pi\)
−0.873527 + 0.486777i \(0.838173\pi\)
\(212\) −123.891 + 74.5430i −0.0401363 + 0.0241492i
\(213\) −99.0363 + 1826.62i −0.0318585 + 0.587595i
\(214\) 3563.40 1200.65i 1.13827 0.383527i
\(215\) 116.821 + 220.348i 0.0370564 + 0.0698959i
\(216\) −253.341 298.256i −0.0798040 0.0939525i
\(217\) 1657.53 + 2444.67i 0.518526 + 0.764769i
\(218\) −33.5923 619.574i −0.0104365 0.192490i
\(219\) 552.661 + 1387.07i 0.170527 + 0.427990i
\(220\) −509.646 235.787i −0.156183 0.0722581i
\(221\) 1176.35 258.935i 0.358055 0.0788138i
\(222\) −335.003 + 631.883i −0.101279 + 0.191033i
\(223\) −384.540 + 2345.59i −0.115474 + 0.704360i 0.864107 + 0.503309i \(0.167884\pi\)
−0.979581 + 0.201051i \(0.935564\pi\)
\(224\) −2659.80 + 2021.92i −0.793371 + 0.603105i
\(225\) −273.871 + 126.706i −0.0811471 + 0.0375427i
\(226\) 2556.64 + 2421.78i 0.752500 + 0.712806i
\(227\) 117.418 + 716.219i 0.0343318 + 0.209415i 0.998422 0.0561614i \(-0.0178862\pi\)
−0.964090 + 0.265576i \(0.914438\pi\)
\(228\) 343.427 + 115.714i 0.0997545 + 0.0336112i
\(229\) −2224.00 + 5581.82i −0.641773 + 1.61073i 0.142132 + 0.989848i \(0.454604\pi\)
−0.783905 + 0.620881i \(0.786775\pi\)
\(230\) −190.800 + 180.736i −0.0547000 + 0.0518146i
\(231\) 783.114 + 595.308i 0.223052 + 0.169560i
\(232\) −277.831 61.1551i −0.0786227 0.0173062i
\(233\) 370.625 436.333i 0.104208 0.122683i −0.707586 0.706628i \(-0.750216\pi\)
0.811793 + 0.583945i \(0.198492\pi\)
\(234\) −1583.20 172.183i −0.442295 0.0481025i
\(235\) 2778.59 0.771300
\(236\) 1286.47 + 1128.78i 0.354840 + 0.311344i
\(237\) 333.198 0.0913229
\(238\) 1680.81 + 182.799i 0.457775 + 0.0497860i
\(239\) 1378.17 1622.50i 0.372997 0.439126i −0.543353 0.839504i \(-0.682846\pi\)
0.916350 + 0.400379i \(0.131121\pi\)
\(240\) −2240.31 493.129i −0.602547 0.132631i
\(241\) −5182.14 3939.36i −1.38511 1.05293i −0.990999 0.133868i \(-0.957260\pi\)
−0.394109 0.919064i \(-0.628947\pi\)
\(242\) −2713.84 + 2570.69i −0.720877 + 0.682851i
\(243\) 89.9436 225.741i 0.0237444 0.0595939i
\(244\) −1444.68 486.771i −0.379043 0.127714i
\(245\) 157.533 + 960.907i 0.0410791 + 0.250572i
\(246\) 1141.43 + 1081.22i 0.295834 + 0.280228i
\(247\) −1496.90 + 692.538i −0.385608 + 0.178401i
\(248\) 1615.87 1228.35i 0.413741 0.314518i
\(249\) −196.743 + 1200.08i −0.0500725 + 0.305429i
\(250\) −2437.16 + 4596.97i −0.616558 + 1.16295i
\(251\) −5849.14 + 1287.49i −1.47089 + 0.323768i −0.876889 0.480693i \(-0.840385\pi\)
−0.594005 + 0.804461i \(0.702454\pi\)
\(252\) −650.589 300.994i −0.162632 0.0752415i
\(253\) −46.0797 115.651i −0.0114506 0.0287389i
\(254\) −450.878 8315.96i −0.111380 2.05429i
\(255\) 376.135 + 554.758i 0.0923706 + 0.136237i
\(256\) 3050.15 + 3590.91i 0.744665 + 0.876688i
\(257\) 3573.61 + 6740.55i 0.867376 + 1.63605i 0.767503 + 0.641045i \(0.221499\pi\)
0.0998732 + 0.995000i \(0.468156\pi\)
\(258\) 254.410 85.7208i 0.0613910 0.0206850i
\(259\) 79.3218 1463.00i 0.0190302 0.350991i
\(260\) −1595.81 + 960.166i −0.380646 + 0.229027i
\(261\) −47.2594 170.213i −0.0112080 0.0403675i
\(262\) −838.030 + 3018.31i −0.197609 + 0.711725i
\(263\) 170.629 + 102.664i 0.0400056 + 0.0240706i 0.535416 0.844588i \(-0.320155\pi\)
−0.495411 + 0.868659i \(0.664982\pi\)
\(264\) 379.366 559.523i 0.0884408 0.130440i
\(265\) 364.022 39.5898i 0.0843839 0.00917730i
\(266\) −2301.52 + 250.305i −0.530508 + 0.0576962i
\(267\) −2152.21 + 3174.28i −0.493308 + 0.727575i
\(268\) 917.568 + 552.082i 0.209139 + 0.125835i
\(269\) −1662.61 + 5988.18i −0.376844 + 1.35727i 0.495598 + 0.868552i \(0.334949\pi\)
−0.872442 + 0.488718i \(0.837465\pi\)
\(270\) −237.074 853.863i −0.0534365 0.192461i
\(271\) 1104.91 664.801i 0.247669 0.149018i −0.386307 0.922370i \(-0.626249\pi\)
0.633976 + 0.773353i \(0.281422\pi\)
\(272\) 101.112 1864.90i 0.0225397 0.415721i
\(273\) 3091.70 1041.71i 0.685414 0.230943i
\(274\) 1345.82 + 2538.48i 0.296729 + 0.559691i
\(275\) −337.471 397.302i −0.0740010 0.0871207i
\(276\) 50.9116 + 75.0890i 0.0111033 + 0.0163762i
\(277\) 345.631 + 6374.79i 0.0749710 + 1.38276i 0.757946 + 0.652317i \(0.226203\pi\)
−0.682975 + 0.730441i \(0.739314\pi\)
\(278\) 1621.31 + 4069.18i 0.349783 + 0.877889i
\(279\) 1143.90 + 529.226i 0.245461 + 0.113563i
\(280\) 2855.18 628.473i 0.609392 0.134137i
\(281\) −2718.14 + 5126.96i −0.577049 + 1.08843i 0.407481 + 0.913214i \(0.366407\pi\)
−0.984530 + 0.175217i \(0.943937\pi\)
\(282\) 483.887 2951.58i 0.102181 0.623276i
\(283\) −943.928 + 717.556i −0.198271 + 0.150722i −0.699599 0.714536i \(-0.746638\pi\)
0.501328 + 0.865257i \(0.332845\pi\)
\(284\) 2089.97 966.921i 0.436678 0.202029i
\(285\) −666.297 631.150i −0.138484 0.131179i
\(286\) −445.070 2714.81i −0.0920194 0.561293i
\(287\) −3052.28 1028.43i −0.627771 0.211521i
\(288\) −527.719 + 1324.47i −0.107973 + 0.270991i
\(289\) 3170.65 3003.40i 0.645358 0.611316i
\(290\) −512.850 389.858i −0.103847 0.0789423i
\(291\) 2880.75 + 634.101i 0.580318 + 0.127738i
\(292\) 1216.83 1432.56i 0.243869 0.287104i
\(293\) −2597.77 282.524i −0.517963 0.0563319i −0.154596 0.987978i \(-0.549408\pi\)
−0.363367 + 0.931646i \(0.618373\pi\)
\(294\) 1048.16 0.207926
\(295\) −1756.56 3962.41i −0.346682 0.782035i
\(296\) −1006.87 −0.197713
\(297\) 417.313 + 45.3855i 0.0815318 + 0.00886712i
\(298\) 5753.53 6773.57i 1.11843 1.31672i
\(299\) −403.235 88.7588i −0.0779923 0.0171674i
\(300\) 302.412 + 229.888i 0.0581993 + 0.0442420i
\(301\) −399.280 + 378.218i −0.0764588 + 0.0724256i
\(302\) 2659.01 6673.61i 0.506652 1.27160i
\(303\) −4372.04 1473.11i −0.828934 0.279300i
\(304\) 413.733 + 2523.66i 0.0780566 + 0.476124i
\(305\) 2802.89 + 2655.04i 0.526207 + 0.498449i
\(306\) 654.799 302.942i 0.122328 0.0565949i
\(307\) 1150.03 874.230i 0.213797 0.162524i −0.492795 0.870145i \(-0.664025\pi\)
0.706592 + 0.707621i \(0.250232\pi\)
\(308\) 200.338 1222.01i 0.0370627 0.226072i
\(309\) −705.878 + 1331.43i −0.129955 + 0.245120i
\(310\) 4488.91 988.083i 0.822428 0.181030i
\(311\) 2216.28 + 1025.36i 0.404096 + 0.186955i 0.611400 0.791322i \(-0.290607\pi\)
−0.207304 + 0.978277i \(0.566469\pi\)
\(312\) −829.853 2082.77i −0.150581 0.377929i
\(313\) 261.910 + 4830.65i 0.0472973 + 0.872347i 0.921881 + 0.387473i \(0.126652\pi\)
−0.874584 + 0.484874i \(0.838865\pi\)
\(314\) −6781.51 10002.0i −1.21880 1.79759i
\(315\) 1175.26 + 1383.63i 0.210218 + 0.247488i
\(316\) −196.471 370.584i −0.0349758 0.0659714i
\(317\) 1617.23 544.909i 0.286539 0.0965461i −0.172362 0.985034i \(-0.555140\pi\)
0.458901 + 0.888488i \(0.348243\pi\)
\(318\) 21.3393 393.580i 0.00376304 0.0694052i
\(319\) 261.479 157.326i 0.0458934 0.0276131i
\(320\) −245.551 884.394i −0.0428959 0.154497i
\(321\) −879.422 + 3167.39i −0.152911 + 0.550737i
\(322\) −496.592 298.790i −0.0859442 0.0517109i
\(323\) 419.327 618.460i 0.0722351 0.106539i
\(324\) −304.106 + 33.0735i −0.0521443 + 0.00567104i
\(325\) −1718.72 + 186.923i −0.293347 + 0.0319034i
\(326\) 5818.71 8581.95i 0.988553 1.45801i
\(327\) 464.785 + 279.652i 0.0786014 + 0.0472929i
\(328\) −592.153 + 2132.74i −0.0996835 + 0.359028i
\(329\) 1639.24 + 5904.00i 0.274693 + 0.989355i
\(330\) 1311.69 789.218i 0.218807 0.131652i
\(331\) 256.241 4726.09i 0.0425507 0.784802i −0.896924 0.442184i \(-0.854204\pi\)
0.939475 0.342618i \(-0.111314\pi\)
\(332\) 1450.74 488.811i 0.239818 0.0808042i
\(333\) −292.861 552.395i −0.0481943 0.0909040i
\(334\) −3613.20 4253.79i −0.591933 0.696877i
\(335\) −1521.90 2244.63i −0.248210 0.366082i
\(336\) −273.866 5051.16i −0.0444661 0.820129i
\(337\) 3084.59 + 7741.72i 0.498600 + 1.25139i 0.935961 + 0.352105i \(0.114534\pi\)
−0.437361 + 0.899286i \(0.644087\pi\)
\(338\) −1438.10 665.337i −0.231427 0.107070i
\(339\) −3006.59 + 661.800i −0.481697 + 0.106030i
\(340\) 395.215 745.454i 0.0630398 0.118906i
\(341\) −352.246 + 2148.61i −0.0559390 + 0.341213i
\(342\) −786.477 + 597.864i −0.124350 + 0.0945286i
\(343\) 4616.65 2135.89i 0.726751 0.336231i
\(344\) 274.389 + 259.915i 0.0430060 + 0.0407375i
\(345\) −37.1696 226.724i −0.00580042 0.0353810i
\(346\) −8444.34 2845.23i −1.31205 0.442082i
\(347\) −2924.35 + 7339.56i −0.452413 + 1.13547i 0.509100 + 0.860708i \(0.329978\pi\)
−0.961512 + 0.274762i \(0.911401\pi\)
\(348\) −161.445 + 152.929i −0.0248688 + 0.0235570i
\(349\) −4910.10 3732.56i −0.753099 0.572491i 0.156648 0.987654i \(-0.449931\pi\)
−0.909747 + 0.415164i \(0.863724\pi\)
\(350\) −2369.98 521.672i −0.361945 0.0796701i
\(351\) 901.291 1061.08i 0.137058 0.161357i
\(352\) −2448.47 266.287i −0.370749 0.0403214i
\(353\) 10533.2 1.58818 0.794091 0.607799i \(-0.207947\pi\)
0.794091 + 0.607799i \(0.207947\pi\)
\(354\) −4515.00 + 1175.87i −0.677879 + 0.176545i
\(355\) −5831.83 −0.871892
\(356\) 4799.50 + 521.977i 0.714531 + 0.0777099i
\(357\) −956.856 + 1126.50i −0.141855 + 0.167005i
\(358\) −1469.43 323.446i −0.216932 0.0477504i
\(359\) −5979.20 4545.27i −0.879025 0.668217i 0.0650739 0.997880i \(-0.479272\pi\)
−0.944099 + 0.329663i \(0.893065\pi\)
\(360\) 905.724 857.948i 0.132600 0.125605i
\(361\) 2160.07 5421.36i 0.314925 0.790401i
\(362\) −10749.4 3621.89i −1.56071 0.525863i
\(363\) −528.680 3224.81i −0.0764422 0.466277i
\(364\) −2981.63 2824.35i −0.429340 0.406692i
\(365\) −4320.14 + 1998.71i −0.619525 + 0.286623i
\(366\) 3308.45 2515.02i 0.472501 0.359186i
\(367\) −334.219 + 2038.65i −0.0475370 + 0.289963i −0.999887 0.0150450i \(-0.995211\pi\)
0.952350 + 0.305008i \(0.0986591\pi\)
\(368\) −299.874 + 565.622i −0.0424782 + 0.0801225i
\(369\) −1342.32 + 295.466i −0.189372 + 0.0416839i
\(370\) −2069.32 957.369i −0.290753 0.134517i
\(371\) 298.877 + 750.124i 0.0418245 + 0.104972i
\(372\) −85.8990 1584.31i −0.0119722 0.220814i
\(373\) −2502.12 3690.35i −0.347332 0.512276i 0.613394 0.789777i \(-0.289804\pi\)
−0.960725 + 0.277502i \(0.910494\pi\)
\(374\) 806.859 + 949.907i 0.111555 + 0.131333i
\(375\) −2130.57 4018.69i −0.293393 0.553398i
\(376\) 3990.35 1344.51i 0.547305 0.184408i
\(377\) 54.7928 1010.59i 0.00748534 0.138059i
\(378\) 1674.44 1007.48i 0.227841 0.137087i
\(379\) −2590.63 9330.61i −0.351113 1.26459i −0.902625 0.430427i \(-0.858363\pi\)
0.551512 0.834167i \(-0.314051\pi\)
\(380\) −309.083 + 1113.22i −0.0417253 + 0.150281i
\(381\) 6238.37 + 3753.50i 0.838848 + 0.504718i
\(382\) 1983.62 2925.62i 0.265683 0.391853i
\(383\) 13102.0 1424.93i 1.74799 0.190106i 0.822472 0.568805i \(-0.192594\pi\)
0.925520 + 0.378700i \(0.123629\pi\)
\(384\) −4761.89 + 517.886i −0.632823 + 0.0688236i
\(385\) −1759.90 + 2595.66i −0.232969 + 0.343603i
\(386\) 6889.55 + 4145.30i 0.908469 + 0.546607i
\(387\) −62.7867 + 226.137i −0.00824710 + 0.0297034i
\(388\) −993.394 3577.88i −0.129979 0.468143i
\(389\) 5494.70 3306.05i 0.716176 0.430909i −0.110287 0.993900i \(-0.535177\pi\)
0.826463 + 0.562991i \(0.190349\pi\)
\(390\) 274.865 5069.58i 0.0356880 0.658226i
\(391\) 177.263 59.7268i 0.0229273 0.00772511i
\(392\) 691.197 + 1303.74i 0.0890579 + 0.167981i
\(393\) −1772.82 2087.13i −0.227550 0.267893i
\(394\) −1671.06 2464.62i −0.213672 0.315142i
\(395\) 57.5085 + 1060.68i 0.00732549 + 0.135111i
\(396\) −195.592 490.899i −0.0248204 0.0622944i
\(397\) −9480.15 4385.99i −1.19848 0.554474i −0.283887 0.958858i \(-0.591624\pi\)
−0.914590 + 0.404383i \(0.867486\pi\)
\(398\) 18032.2 3969.18i 2.27103 0.499892i
\(399\) 947.993 1788.10i 0.118945 0.224354i
\(400\) −433.681 + 2645.34i −0.0542101 + 0.330667i
\(401\) 3032.05 2304.91i 0.377590 0.287036i −0.399115 0.916901i \(-0.630683\pi\)
0.776705 + 0.629865i \(0.216890\pi\)
\(402\) −2649.41 + 1225.75i −0.328708 + 0.152077i
\(403\) 5242.47 + 4965.94i 0.648006 + 0.613824i
\(404\) 939.586 + 5731.22i 0.115708 + 0.705789i
\(405\) 734.135 + 247.359i 0.0900728 + 0.0303490i
\(406\) 525.820 1319.71i 0.0642759 0.161320i
\(407\) 784.115 742.753i 0.0954967 0.0904593i
\(408\) 808.606 + 614.686i 0.0981176 + 0.0745870i
\(409\) −5987.28 1317.90i −0.723843 0.159330i −0.162257 0.986748i \(-0.551877\pi\)
−0.561586 + 0.827419i \(0.689809\pi\)
\(410\) −3244.89 + 3820.18i −0.390863 + 0.460159i
\(411\) −2497.01 271.566i −0.299680 0.0325922i
\(412\) 1897.04 0.226846
\(413\) 7383.10 6070.00i 0.879657 0.723209i
\(414\) −247.312 −0.0293593
\(415\) −3854.21 419.170i −0.455893 0.0495814i
\(416\) −5288.08 + 6225.60i −0.623243 + 0.733739i
\(417\) −3739.73 823.177i −0.439174 0.0966694i
\(418\) −1358.61 1032.79i −0.158976 0.120850i
\(419\) 596.262 564.809i 0.0695210 0.0658538i −0.652150 0.758090i \(-0.726133\pi\)
0.721671 + 0.692236i \(0.243374\pi\)
\(420\) 845.878 2122.99i 0.0982729 0.246646i
\(421\) 9296.08 + 3132.22i 1.07616 + 0.362601i 0.800918 0.598774i \(-0.204345\pi\)
0.275242 + 0.961375i \(0.411242\pi\)
\(422\) 800.920 + 4885.40i 0.0923890 + 0.563548i
\(423\) 1898.28 + 1798.15i 0.218197 + 0.206687i
\(424\) 503.617 232.998i 0.0576836 0.0266873i
\(425\) 623.533 473.997i 0.0711665 0.0540994i
\(426\) −1015.60 + 6194.90i −0.115507 + 0.704563i
\(427\) −3987.89 + 7521.97i −0.451962 + 0.852491i
\(428\) 4041.34 889.566i 0.456415 0.100464i
\(429\) 2182.70 + 1009.82i 0.245645 + 0.113647i
\(430\) 316.788 + 795.079i 0.0355277 + 0.0891677i
\(431\) −496.583 9158.93i −0.0554978 1.02360i −0.885147 0.465312i \(-0.845942\pi\)
0.829649 0.558285i \(-0.188541\pi\)
\(432\) −1211.41 1786.69i −0.134916 0.198987i
\(433\) 1672.11 + 1968.56i 0.185581 + 0.218482i 0.847083 0.531461i \(-0.178357\pi\)
−0.661502 + 0.749943i \(0.730081\pi\)
\(434\) 4747.73 + 8955.17i 0.525111 + 0.990465i
\(435\) 533.689 179.821i 0.0588240 0.0198201i
\(436\) 36.9679 681.832i 0.00406064 0.0748941i
\(437\) −219.469 + 132.050i −0.0240244 + 0.0144550i
\(438\) 1370.80 + 4937.17i 0.149542 + 0.538601i
\(439\) −3430.67 + 12356.2i −0.372977 + 1.34334i 0.504370 + 0.863487i \(0.331725\pi\)
−0.877348 + 0.479855i \(0.840689\pi\)
\(440\) 1846.63 + 1111.08i 0.200079 + 0.120383i
\(441\) −514.220 + 758.418i −0.0555253 + 0.0818937i
\(442\) 4109.29 446.913i 0.442215 0.0480938i
\(443\) 2222.43 241.704i 0.238354 0.0259225i 0.0118376 0.999930i \(-0.496232\pi\)
0.226516 + 0.974007i \(0.427266\pi\)
\(444\) −441.689 + 651.442i −0.0472109 + 0.0696308i
\(445\) −10476.3 6303.36i −1.11601 0.671478i
\(446\) −2182.18 + 7859.49i −0.231679 + 0.834434i
\(447\) 2078.51 + 7486.13i 0.219934 + 0.792129i
\(448\) 1734.31 1043.50i 0.182898 0.110046i
\(449\) −249.645 + 4604.43i −0.0262394 + 0.483957i 0.955650 + 0.294504i \(0.0951543\pi\)
−0.981890 + 0.189453i \(0.939328\pi\)
\(450\) −981.346 + 330.654i −0.102802 + 0.0346382i
\(451\) −1112.15 2097.73i −0.116117 0.219021i
\(452\) 2508.90 + 2953.70i 0.261081 + 0.307368i
\(453\) 3524.33 + 5198.00i 0.365535 + 0.539124i
\(454\) 134.841 + 2487.00i 0.0139392 + 0.257094i
\(455\) 3849.74 + 9662.12i 0.396656 + 0.995533i
\(456\) −1262.27 583.989i −0.129630 0.0599732i
\(457\) −6964.86 + 1533.08i −0.712915 + 0.156925i −0.556598 0.830782i \(-0.687893\pi\)
−0.156318 + 0.987707i \(0.549962\pi\)
\(458\) −9658.38 + 18217.6i −0.985385 + 1.85863i
\(459\) −102.039 + 622.413i −0.0103764 + 0.0632935i
\(460\) −230.247 + 175.029i −0.0233376 + 0.0177408i
\(461\) −11726.8 + 5425.39i −1.18475 + 0.548125i −0.910491 0.413529i \(-0.864296\pi\)
−0.274263 + 0.961655i \(0.588434\pi\)
\(462\) 2450.78 + 2321.50i 0.246797 + 0.233779i
\(463\) −1071.19 6534.00i −0.107522 0.655855i −0.984508 0.175339i \(-0.943898\pi\)
0.876986 0.480516i \(-0.159550\pi\)
\(464\) −1487.11 501.067i −0.148788 0.0501325i
\(465\) −1487.27 + 3732.78i −0.148324 + 0.372265i
\(466\) 1426.31 1351.07i 0.141786 0.134307i
\(467\) −8844.91 6723.73i −0.876432 0.666246i 0.0670213 0.997752i \(-0.478650\pi\)
−0.943453 + 0.331505i \(0.892444\pi\)
\(468\) −1711.59 376.749i −0.169056 0.0372120i
\(469\) 3871.58 4557.98i 0.381179 0.448759i
\(470\) 9479.39 + 1030.95i 0.930323 + 0.101179i
\(471\) 10564.1 1.03347
\(472\) −4439.94 4840.47i −0.432976 0.472035i
\(473\) −405.421 −0.0394108
\(474\) 1136.73 + 123.627i 0.110151 + 0.0119797i
\(475\) −694.314 + 817.410i −0.0670680 + 0.0789586i
\(476\) 1817.11 + 399.976i 0.174973 + 0.0385144i
\(477\) 274.313 + 208.527i 0.0263311 + 0.0200164i
\(478\) 5303.73 5023.96i 0.507504 0.480733i
\(479\) 4217.52 10585.2i 0.402303 1.00970i −0.578670 0.815562i \(-0.696428\pi\)
0.980973 0.194143i \(-0.0621926\pi\)
\(480\) −4307.33 1451.31i −0.409587 0.138006i
\(481\) −579.512 3534.87i −0.0549345 0.335086i
\(482\) −16217.7 15362.2i −1.53256 1.45172i
\(483\) 459.819 212.735i 0.0433178 0.0200409i
\(484\) −3274.90 + 2489.52i −0.307560 + 0.233801i
\(485\) −1521.35 + 9279.85i −0.142435 + 0.868817i
\(486\) 390.607 736.762i 0.0364574 0.0687659i
\(487\) 2797.45 615.766i 0.260297 0.0572957i −0.0829045 0.996557i \(-0.526420\pi\)
0.343202 + 0.939262i \(0.388489\pi\)
\(488\) 5309.96 + 2456.65i 0.492563 + 0.227884i
\(489\) 3355.02 + 8420.47i 0.310264 + 0.778705i
\(490\) 180.908 + 3336.66i 0.0166788 + 0.307622i
\(491\) 5011.76 + 7391.79i 0.460647 + 0.679403i 0.985089 0.172043i \(-0.0550367\pi\)
−0.524443 + 0.851446i \(0.675726\pi\)
\(492\) 1120.12 + 1318.71i 0.102640 + 0.120837i
\(493\) 214.771 + 405.100i 0.0196202 + 0.0370077i
\(494\) −5363.73 + 1807.25i −0.488514 + 0.164599i
\(495\) −72.4511 + 1336.28i −0.00657866 + 0.121336i
\(496\) 9593.82 5772.41i 0.868499 0.522558i
\(497\) −3440.50 12391.6i −0.310518 1.11839i
\(498\) −1116.47 + 4021.16i −0.100462 + 0.361832i
\(499\) 52.1607 + 31.3840i 0.00467942 + 0.00281552i 0.517892 0.855446i \(-0.326717\pi\)
−0.513212 + 0.858262i \(0.671545\pi\)
\(500\) −3213.30 + 4739.26i −0.287406 + 0.423892i
\(501\) 4850.51 527.525i 0.432545 0.0470421i
\(502\) −20432.5 + 2222.17i −1.81663 + 0.197570i
\(503\) 8649.16 12756.6i 0.766694 1.13079i −0.221135 0.975243i \(-0.570976\pi\)
0.987829 0.155545i \(-0.0497135\pi\)
\(504\) 2357.31 + 1418.35i 0.208339 + 0.125354i
\(505\) 3934.82 14171.9i 0.346727 1.24880i
\(506\) −114.294 411.651i −0.0100415 0.0361662i
\(507\) 1186.94 714.157i 0.103972 0.0625578i
\(508\) 496.185 9151.59i 0.0433359 0.799284i
\(509\) −19221.8 + 6476.58i −1.67385 + 0.563987i −0.986704 0.162528i \(-0.948035\pi\)
−0.687151 + 0.726515i \(0.741139\pi\)
\(510\) 1077.38 + 2032.16i 0.0935437 + 0.176442i
\(511\) −6795.56 8000.36i −0.588294 0.692593i
\(512\) 1905.30 + 2810.11i 0.164460 + 0.242560i
\(513\) −46.7567 862.377i −0.00402409 0.0742200i
\(514\) 9690.70 + 24321.8i 0.831592 + 2.08714i
\(515\) −4360.21 2017.25i −0.373076 0.172603i
\(516\) 288.533 63.5109i 0.0246162 0.00541843i
\(517\) −2115.73 + 3990.69i −0.179980 + 0.339478i
\(518\) 813.433 4961.72i 0.0689965 0.420860i
\(519\) 6201.44 4714.21i 0.524495 0.398711i
\(520\) 6486.95 3001.18i 0.547060 0.253097i
\(521\) 4836.32 + 4581.20i 0.406685 + 0.385232i 0.863516 0.504321i \(-0.168257\pi\)
−0.456831 + 0.889553i \(0.651016\pi\)
\(522\) −98.0748 598.230i −0.00822341 0.0501606i
\(523\) −705.034 237.554i −0.0589464 0.0198614i 0.289674 0.957125i \(-0.406453\pi\)
−0.348620 + 0.937264i \(0.613350\pi\)
\(524\) −1275.96 + 3202.42i −0.106375 + 0.266982i
\(525\) 1540.16 1458.91i 0.128034 0.121280i
\(526\) 544.024 + 413.556i 0.0450962 + 0.0342812i
\(527\) −3194.95 703.262i −0.264088 0.0581301i
\(528\) 2414.10 2842.10i 0.198978 0.234255i
\(529\) 12031.9 + 1308.55i 0.988899 + 0.107549i
\(530\) 1256.58 0.102986
\(531\) 1364.19 3843.78i 0.111490 0.314136i
\(532\) −2547.72 −0.207627
\(533\) −7828.36 851.386i −0.636180 0.0691888i
\(534\) −8520.20 + 10030.8i −0.690459 + 0.812871i
\(535\) −10234.7 2252.82i −0.827072 0.182052i
\(536\) −3271.74 2487.11i −0.263652 0.200423i
\(537\) 954.925 904.553i 0.0767376 0.0726897i
\(538\) −7893.92 + 19812.2i −0.632586 + 1.58767i
\(539\) −1500.03 505.419i −0.119872 0.0403895i
\(540\) −157.771 962.363i −0.0125730 0.0766917i
\(541\) 758.835 + 718.807i 0.0603047 + 0.0571237i 0.717258 0.696807i \(-0.245397\pi\)
−0.656954 + 0.753931i \(0.728155\pi\)
\(542\) 4016.14 1858.06i 0.318280 0.147252i
\(543\) 7894.25 6001.05i 0.623894 0.474272i
\(544\) 598.687 3651.83i 0.0471848 0.287814i
\(545\) −810.006 + 1527.83i −0.0636639 + 0.120083i
\(546\) 10934.1 2406.77i 0.857024 0.188645i
\(547\) 7981.57 + 3692.67i 0.623889 + 0.288642i 0.706252 0.707961i \(-0.250385\pi\)
−0.0823629 + 0.996602i \(0.526247\pi\)
\(548\) 1170.33 + 2937.32i 0.0912302 + 0.228971i
\(549\) 196.690 + 3627.74i 0.0152906 + 0.282018i
\(550\) −1003.90 1480.64i −0.0778297 0.114790i
\(551\) −406.453 478.514i −0.0314256 0.0369970i
\(552\) −163.087 307.614i −0.0125751 0.0237191i
\(553\) −2219.83 + 747.946i −0.170699 + 0.0575152i
\(554\) −1186.10 + 21876.3i −0.0909613 + 1.67768i
\(555\) 1707.91 1027.62i 0.130625 0.0785945i
\(556\) 1289.60 + 4644.73i 0.0983657 + 0.354281i
\(557\) 1398.11 5035.55i 0.106355 0.383058i −0.891145 0.453719i \(-0.850097\pi\)
0.997500 + 0.0706611i \(0.0225109\pi\)
\(558\) 3706.16 + 2229.92i 0.281172 + 0.169176i
\(559\) −754.572 + 1112.91i −0.0570930 + 0.0842059i
\(560\) 16032.3 1743.62i 1.20980 0.131574i
\(561\) −1083.16 + 117.801i −0.0815171 + 0.00886552i
\(562\) −11175.4 + 16482.5i −0.838802 + 1.23714i
\(563\) −13180.9 7930.70i −0.986696 0.593675i −0.0718230 0.997417i \(-0.522882\pi\)
−0.914873 + 0.403742i \(0.867709\pi\)
\(564\) 880.577 3171.55i 0.0657429 0.236785i
\(565\) −2625.66 9456.76i −0.195508 0.704157i
\(566\) −3486.52 + 2097.77i −0.258921 + 0.155788i
\(567\) −92.4874 + 1705.83i −0.00685028 + 0.126346i
\(568\) −8375.12 + 2821.91i −0.618683 + 0.208459i
\(569\) −8332.71 15717.1i −0.613928 1.15799i −0.974315 0.225189i \(-0.927700\pi\)
0.360387 0.932803i \(-0.382645\pi\)
\(570\) −2038.95 2400.43i −0.149828 0.176391i
\(571\) 6693.95 + 9872.84i 0.490601 + 0.723582i 0.989731 0.142945i \(-0.0456572\pi\)
−0.499130 + 0.866527i \(0.666347\pi\)
\(572\) −163.905 3023.05i −0.0119811 0.220979i
\(573\) 1143.74 + 2870.57i 0.0833864 + 0.209284i
\(574\) −10031.5 4641.07i −0.729454 0.337482i
\(575\) −262.206 + 57.7159i −0.0190169 + 0.00418594i
\(576\) 404.573 763.106i 0.0292660 0.0552015i
\(577\) 2352.04 14346.8i 0.169700 1.03512i −0.755362 0.655308i \(-0.772539\pi\)
0.925062 0.379816i \(-0.124013\pi\)
\(578\) 11931.3 9069.91i 0.858607 0.652696i
\(579\) −6379.37 + 2951.41i −0.457889 + 0.211842i
\(580\) −514.689 487.539i −0.0368470 0.0349034i
\(581\) −1383.14 8436.77i −0.0987646 0.602437i
\(582\) 9592.64 + 3232.14i 0.683209 + 0.230200i
\(583\) −220.321 + 552.963i −0.0156514 + 0.0392820i
\(584\) −5237.04 + 4960.79i −0.371079 + 0.351505i
\(585\) 3533.34 + 2685.98i 0.249719 + 0.189832i
\(586\) −8757.66 1927.71i −0.617365 0.135892i
\(587\) 9799.62 11537.0i 0.689052 0.811215i −0.300744 0.953705i \(-0.597235\pi\)
0.989796 + 0.142490i \(0.0455108\pi\)
\(588\) 1146.73 + 124.714i 0.0804255 + 0.00874680i
\(589\) 4479.56 0.313374
\(590\) −4522.47 14169.8i −0.315572 0.988749i
\(591\) 2603.13 0.181182
\(592\) −5521.54 600.503i −0.383334 0.0416901i
\(593\) −15439.6 + 18176.9i −1.06919 + 1.25874i −0.104730 + 0.994501i \(0.533398\pi\)
−0.964456 + 0.264243i \(0.914878\pi\)
\(594\) 1406.86 + 309.673i 0.0971785 + 0.0213906i
\(595\) −3751.18 2851.57i −0.258459 0.196476i
\(596\) 7100.50 6725.95i 0.488000 0.462258i
\(597\) −5974.46 + 14994.8i −0.409578 + 1.02796i
\(598\) −1342.74 452.421i −0.0918204 0.0309379i
\(599\) −2681.77 16358.1i −0.182928 1.11581i −0.905446 0.424461i \(-0.860464\pi\)
0.722518 0.691352i \(-0.242985\pi\)
\(600\) −1058.41 1002.58i −0.0720158 0.0682170i
\(601\) 2595.85 1200.97i 0.176184 0.0815115i −0.329814 0.944046i \(-0.606986\pi\)
0.505999 + 0.862534i \(0.331124\pi\)
\(602\) −1502.50 + 1142.17i −0.101723 + 0.0773282i
\(603\) 412.866 2518.37i 0.0278826 0.170076i
\(604\) 3703.10 6984.78i 0.249465 0.470541i
\(605\) 10174.4 2239.56i 0.683716 0.150497i
\(606\) −14369.0 6647.80i −0.963201 0.445624i
\(607\) 9939.03 + 24945.1i 0.664601 + 1.66802i 0.741474 + 0.670981i \(0.234127\pi\)
−0.0768734 + 0.997041i \(0.524494\pi\)
\(608\) 274.332 + 5059.76i 0.0182987 + 0.337500i
\(609\) 696.937 + 1027.90i 0.0463732 + 0.0683954i
\(610\) 8577.18 + 10097.8i 0.569311 + 0.670245i
\(611\) 7016.92 + 13235.3i 0.464606 + 0.876339i
\(612\) 752.417 253.519i 0.0496972 0.0167449i
\(613\) −717.980 + 13242.4i −0.0473066 + 0.872519i 0.874537 + 0.484958i \(0.161165\pi\)
−0.921844 + 0.387561i \(0.873318\pi\)
\(614\) 4247.78 2555.81i 0.279196 0.167987i
\(615\) −1172.25 4222.05i −0.0768610 0.276828i
\(616\) −1271.42 + 4579.23i −0.0831604 + 0.299517i
\(617\) 1107.44 + 666.327i 0.0722594 + 0.0434770i 0.551225 0.834357i \(-0.314161\pi\)
−0.478966 + 0.877834i \(0.658988\pi\)
\(618\) −2902.16 + 4280.36i −0.188903 + 0.278611i
\(619\) 20724.2 2253.89i 1.34568 0.146352i 0.593247 0.805020i \(-0.297846\pi\)
0.752433 + 0.658669i \(0.228880\pi\)
\(620\) 5028.58 546.891i 0.325730 0.0354253i
\(621\) 121.329 178.948i 0.00784023 0.0115635i
\(622\) 7180.58 + 4320.41i 0.462886 + 0.278509i
\(623\) 7212.98 25978.8i 0.463855 1.67066i
\(624\) −3308.63 11916.6i −0.212261 0.764496i
\(625\) 8833.91 5315.19i 0.565370 0.340172i
\(626\) −898.796 + 16577.3i −0.0573852 + 1.05841i
\(627\) 1413.82 476.370i 0.0900517 0.0303419i
\(628\) −6229.13 11749.4i −0.395811 0.746579i
\(629\) 1050.59 + 1236.85i 0.0665972 + 0.0784043i
\(630\) 3496.14 + 5156.42i 0.221094 + 0.326090i
\(631\) 21.6506 + 399.322i 0.00136592 + 0.0251930i 0.999137 0.0415381i \(-0.0132258\pi\)
−0.997771 + 0.0667311i \(0.978743\pi\)
\(632\) 595.831 + 1495.42i 0.0375014 + 0.0941214i
\(633\) −3927.84 1817.21i −0.246632 0.114104i
\(634\) 5719.49 1258.95i 0.358281 0.0788635i
\(635\) −10871.9 + 20506.7i −0.679433 + 1.28155i
\(636\) 70.1753 428.051i 0.00437521 0.0266876i
\(637\) −4179.27 + 3177.00i −0.259951 + 0.197610i
\(638\) 950.428 439.715i 0.0589777 0.0272860i
\(639\) −3984.19 3774.02i −0.246654 0.233643i
\(640\) −2470.49 15069.3i −0.152585 0.930729i
\(641\) −14748.5 4969.36i −0.908786 0.306206i −0.174191 0.984712i \(-0.555731\pi\)
−0.734595 + 0.678506i \(0.762628\pi\)
\(642\) −4175.42 + 10479.5i −0.256683 + 0.644227i
\(643\) 15100.6 14304.0i 0.926139 0.877286i −0.0665744 0.997781i \(-0.521207\pi\)
0.992714 + 0.120496i \(0.0384484\pi\)
\(644\) −507.738 385.973i −0.0310678 0.0236172i
\(645\) −730.708 160.841i −0.0446071 0.00981877i
\(646\) 1660.03 1954.34i 0.101104 0.119029i
\(647\) 9338.17 + 1015.59i 0.567421 + 0.0617107i 0.387333 0.921940i \(-0.373396\pi\)
0.180088 + 0.983651i \(0.442362\pi\)
\(648\) 1173.99 0.0711706
\(649\) 7028.43 + 494.311i 0.425100 + 0.0298974i
\(650\) −5932.92 −0.358013
\(651\) −8808.88 958.023i −0.530334 0.0576772i
\(652\) 7386.98 8696.62i 0.443706 0.522371i
\(653\) −7323.95 1612.12i −0.438910 0.0966115i −0.00998243 0.999950i \(-0.503178\pi\)
−0.428928 + 0.903339i \(0.641109\pi\)
\(654\) 1481.89 + 1126.50i 0.0886031 + 0.0673544i
\(655\) 6338.06 6003.73i 0.378090 0.358145i
\(656\) −4519.28 + 11342.5i −0.268976 + 0.675078i
\(657\) −4244.88 1430.27i −0.252068 0.0849316i
\(658\) 3401.81 + 20750.2i 0.201545 + 1.22937i
\(659\) −12165.1 11523.4i −0.719096 0.681164i 0.237892 0.971292i \(-0.423544\pi\)
−0.956988 + 0.290128i \(0.906302\pi\)
\(660\) 1528.94 707.362i 0.0901725 0.0417182i
\(661\) 14100.0 10718.6i 0.829693 0.630716i −0.101666 0.994819i \(-0.532417\pi\)
0.931359 + 0.364102i \(0.118624\pi\)
\(662\) 2627.72 16028.4i 0.154273 0.941027i
\(663\) −1692.61 + 3192.61i −0.0991488 + 0.187014i
\(664\) −5737.87 + 1263.00i −0.335350 + 0.0738162i
\(665\) 5855.76 + 2709.16i 0.341469 + 0.157980i
\(666\) −794.163 1993.20i −0.0462060 0.115968i
\(667\) −8.50904 156.940i −0.000493960 0.00911055i
\(668\) −3446.83 5083.70i −0.199644 0.294453i
\(669\) −4616.32 5434.75i −0.266782 0.314080i
\(670\) −4359.25 8222.42i −0.251362 0.474119i
\(671\) −5947.46 + 2003.93i −0.342175 + 0.115292i
\(672\) 542.644 10008.5i 0.0311502 0.574532i
\(673\) 24214.2 14569.2i 1.38691 0.834474i 0.390618 0.920553i \(-0.372261\pi\)
0.996288 + 0.0860789i \(0.0274337\pi\)
\(674\) 7650.88 + 27556.0i 0.437242 + 1.57480i
\(675\) 242.189 872.287i 0.0138102 0.0497398i
\(676\) −1494.17 899.012i −0.0850119 0.0511500i
\(677\) −4572.64 + 6744.13i −0.259587 + 0.382863i −0.935041 0.354540i \(-0.884638\pi\)
0.675454 + 0.737403i \(0.263948\pi\)
\(678\) −10502.8 + 1142.24i −0.594920 + 0.0647015i
\(679\) −20615.5 + 2242.07i −1.16517 + 0.126720i
\(680\) −1817.19 + 2680.16i −0.102480 + 0.151146i
\(681\) −1865.67 1122.54i −0.104982 0.0631654i
\(682\) −1998.92 + 7199.44i −0.112232 + 0.404224i
\(683\) 1107.62 + 3989.29i 0.0620527 + 0.223493i 0.988075 0.153976i \(-0.0492080\pi\)
−0.926022 + 0.377470i \(0.876794\pi\)
\(684\) −931.569 + 560.506i −0.0520752 + 0.0313326i
\(685\) 433.515 7995.71i 0.0241806 0.445986i
\(686\) 16542.5 5573.83i 0.920695 0.310218i
\(687\) −8443.39 15925.9i −0.468902 0.884442i
\(688\) 1349.70 + 1588.99i 0.0747919 + 0.0880519i
\(689\) 1107.86 + 1633.97i 0.0612572 + 0.0903475i
\(690\) −42.6850 787.279i −0.00235506 0.0434365i
\(691\) 3657.63 + 9179.96i 0.201364 + 0.505387i 0.994631 0.103488i \(-0.0330004\pi\)
−0.793266 + 0.608875i \(0.791621\pi\)
\(692\) −8899.86 4117.51i −0.488905 0.226191i
\(693\) −2882.09 + 634.397i −0.157982 + 0.0347745i
\(694\) −12699.8 + 23954.4i −0.694639 + 1.31023i
\(695\) 1974.99 12046.9i 0.107792 0.657504i
\(696\) 679.422 516.483i 0.0370020 0.0281282i
\(697\) 3237.75 1497.94i 0.175952 0.0814040i
\(698\) −15366.3 14555.7i −0.833270 0.789315i
\(699\) 277.858 + 1694.86i 0.0150351 + 0.0917101i
\(700\) −2530.77 852.715i −0.136649 0.0460423i
\(701\) −6167.10 + 15478.3i −0.332280 + 0.833960i 0.663996 + 0.747736i \(0.268859\pi\)
−0.996276 + 0.0862237i \(0.972520\pi\)
\(702\) 3468.52 3285.56i 0.186483 0.176646i
\(703\) −1769.01 1344.76i −0.0949066 0.0721461i
\(704\) 1457.16 + 320.745i 0.0780096 + 0.0171712i
\(705\) −5396.47 + 6353.22i −0.288288 + 0.339399i
\(706\) 35935.0 + 3908.17i 1.91563 + 0.208337i
\(707\) 32434.1 1.72533
\(708\) −5079.47 + 749.236i −0.269630 + 0.0397712i
\(709\) −3350.17 −0.177459 −0.0887295 0.996056i \(-0.528281\pi\)
−0.0887295 + 0.996056i \(0.528281\pi\)
\(710\) −19895.8 2163.79i −1.05165 0.114374i
\(711\) −647.123 + 761.853i −0.0341337 + 0.0401852i
\(712\) −18095.1 3983.03i −0.952446 0.209649i
\(713\) 892.736 + 678.640i 0.0468909 + 0.0356456i
\(714\) −3682.36 + 3488.11i −0.193009 + 0.182828i
\(715\) −2837.89 + 7122.56i −0.148435 + 0.372543i
\(716\) −1569.12 528.699i −0.0819006 0.0275955i
\(717\) 1033.21 + 6302.32i 0.0538160 + 0.328263i
\(718\) −18712.1 17725.0i −0.972601 0.921297i
\(719\) −4719.77 + 2183.60i −0.244809 + 0.113261i −0.538457 0.842653i \(-0.680993\pi\)
0.293648 + 0.955914i \(0.405131\pi\)
\(720\) 5478.56 4164.70i 0.283575 0.215568i
\(721\) 1713.96 10454.7i 0.0885317 0.540020i
\(722\) 9380.74 17694.0i 0.483539 0.912051i
\(723\) 19071.8 4198.03i 0.981036 0.215942i
\(724\) −11329.3 5241.47i −0.581559 0.269058i
\(725\) −243.591 611.368i −0.0124783 0.0313181i
\(726\) −607.129 11197.8i −0.0310367 0.572439i
\(727\) 5747.04 + 8476.25i 0.293186 + 0.432417i 0.945544 0.325494i \(-0.105531\pi\)
−0.652358 + 0.757911i \(0.726220\pi\)
\(728\) 10203.9 + 12013.0i 0.519482 + 0.611582i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) −15480.1 + 5215.85i −0.784854 + 0.264448i
\(731\) 32.9791 608.263i 0.00166864 0.0307762i
\(732\) 3918.80 2357.87i 0.197873 0.119056i
\(733\) 10065.5 + 36252.8i 0.507202 + 1.82678i 0.560441 + 0.828194i \(0.310632\pi\)
−0.0532393 + 0.998582i \(0.516955\pi\)
\(734\) −1896.62 + 6830.99i −0.0953752 + 0.343510i
\(735\) −2503.05 1506.04i −0.125614 0.0755796i
\(736\) −711.867 + 1049.92i −0.0356518 + 0.0525825i
\(737\) 4382.63 476.640i 0.219045 0.0238226i
\(738\) −4689.04 + 509.964i −0.233884 + 0.0254364i
\(739\) 1073.94 1583.94i 0.0534579 0.0788445i −0.800021 0.599972i \(-0.795178\pi\)
0.853479 + 0.521128i \(0.174489\pi\)
\(740\) −2150.00 1293.61i −0.106805 0.0642622i
\(741\) 1323.73 4767.65i 0.0656255 0.236362i
\(742\) 741.322 + 2670.00i 0.0366776 + 0.132101i
\(743\) 21851.8 13147.8i 1.07896 0.649186i 0.138934 0.990302i \(-0.455632\pi\)
0.940021 + 0.341115i \(0.110805\pi\)
\(744\) −329.665 + 6080.32i −0.0162448 + 0.299617i
\(745\) −23472.1 + 7908.69i −1.15430 + 0.388929i
\(746\) −7166.93 13518.3i −0.351743 0.663457i
\(747\) −2361.85 2780.59i −0.115684 0.136193i
\(748\) 769.708 + 1135.23i 0.0376247 + 0.0554923i
\(749\) −1251.13 23075.8i −0.0610353 1.12573i
\(750\) −5777.56 14500.6i −0.281289 0.705982i
\(751\) −8267.42 3824.92i −0.401708 0.185850i 0.208624 0.977996i \(-0.433102\pi\)
−0.610331 + 0.792146i \(0.708964\pi\)
\(752\) 22684.4 4993.22i 1.10002 0.242133i
\(753\) 8416.12 15874.5i 0.407305 0.768258i
\(754\) 561.892 3427.39i 0.0271391 0.165541i
\(755\) −15938.7 + 12116.3i −0.768303 + 0.584049i
\(756\) 1951.77 902.983i 0.0938955 0.0434407i
\(757\) −15017.3 14225.2i −0.721022 0.682989i 0.236408 0.971654i \(-0.424030\pi\)
−0.957430 + 0.288665i \(0.906789\pi\)
\(758\) −5376.19 32793.3i −0.257615 1.57138i
\(759\) 353.930 + 119.253i 0.0169260 + 0.00570303i
\(760\) 1641.17 4119.03i 0.0783311 0.196596i
\(761\) −10870.9 + 10297.4i −0.517830 + 0.490514i −0.901394 0.433000i \(-0.857455\pi\)
0.383564 + 0.923514i \(0.374696\pi\)
\(762\) 19890.0 + 15120.0i 0.945589 + 0.718818i
\(763\) −3724.23 819.764i −0.176705 0.0388957i
\(764\) 2518.25 2964.71i 0.119250 0.140392i
\(765\) −1998.96 217.400i −0.0944740 0.0102747i
\(766\) 45227.2 2.13332
\(767\) 14438.3 18373.5i 0.679707 0.864967i
\(768\) −14134.4 −0.664105
\(769\) −25300.1 2751.55i −1.18640 0.129029i −0.506439 0.862276i \(-0.669039\pi\)
−0.679963 + 0.733247i \(0.738004\pi\)
\(770\) −6967.12 + 8202.33i −0.326075 + 0.383885i