Properties

Label 177.4.e.a.4.14
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 4.14
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.a.133.14

$q$-expansion

\(f(q)\) \(=\) \(q+(4.44507 + 0.483430i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(11.7120 + 2.57800i) q^{4} +(8.85655 + 6.73258i) q^{5} +(-9.73839 + 9.22469i) q^{6} +(-9.70013 + 24.3455i) q^{7} +(16.9165 + 5.69982i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(4.44507 + 0.483430i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(11.7120 + 2.57800i) q^{4} +(8.85655 + 6.73258i) q^{5} +(-9.73839 + 9.22469i) q^{6} +(-9.70013 + 24.3455i) q^{7} +(16.9165 + 5.69982i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(36.1133 + 34.2083i) q^{10} +(1.10339 - 0.510481i) q^{11} +(-28.6411 + 21.7724i) q^{12} +(7.69977 - 46.9665i) q^{13} +(-54.8871 + 103.528i) q^{14} +(-32.5948 + 7.17465i) q^{15} +(-14.6323 - 6.76963i) q^{16} +(38.0786 + 95.5702i) q^{17} +(-2.17863 - 40.1825i) q^{18} +(41.8049 + 61.6577i) q^{19} +(86.3711 + 101.684i) q^{20} +(-36.8264 - 69.4620i) q^{21} +(5.15141 - 1.73571i) q^{22} +(4.13809 - 76.3226i) q^{23} +(-45.8870 + 27.6093i) q^{24} +(-0.330111 - 1.18895i) q^{25} +(56.9310 - 205.047i) q^{26} +(23.1351 + 13.9200i) q^{27} +(-176.370 + 260.127i) q^{28} +(272.492 - 29.6353i) q^{29} +(-148.354 + 16.1345i) q^{30} +(88.3519 - 130.309i) q^{31} +(-184.134 - 110.790i) q^{32} +(-0.975744 + 3.51431i) q^{33} +(123.061 + 443.224i) q^{34} +(-249.818 + 150.310i) q^{35} +(5.84327 - 107.773i) q^{36} +(32.6396 - 10.9975i) q^{37} +(156.019 + 294.282i) q^{38} +(92.4341 + 108.822i) q^{39} +(111.447 + 164.372i) q^{40} +(4.51531 + 83.2800i) q^{41} +(-130.116 - 326.567i) q^{42} +(-269.710 - 124.781i) q^{43} +(14.2388 - 3.13421i) q^{44} +(46.8995 - 88.4618i) q^{45} +(55.2907 - 337.259i) q^{46} +(-41.1233 + 31.2611i) q^{47} +(43.8969 - 20.3089i) q^{48} +(-249.594 - 236.428i) q^{49} +(-0.892591 - 5.44456i) q^{50} +(-292.475 - 98.5462i) q^{51} +(211.259 - 530.220i) q^{52} +(437.551 - 414.470i) q^{53} +(96.1080 + 73.0594i) q^{54} +(13.2090 + 2.90753i) q^{55} +(-302.857 + 356.550i) q^{56} +(-222.171 - 24.1626i) q^{57} +1225.57 q^{58} +(-361.767 - 272.953i) q^{59} -400.245 q^{60} +(-226.915 - 24.6785i) q^{61} +(455.726 - 536.522i) q^{62} +(230.347 + 50.7031i) q^{63} +(-662.251 - 503.430i) q^{64} +(384.399 - 364.122i) q^{65} +(-6.03618 + 15.1497i) q^{66} +(-275.393 - 92.7907i) q^{67} +(199.596 + 1217.48i) q^{68} +(166.474 + 157.692i) q^{69} +(-1183.12 + 547.370i) q^{70} +(96.3412 - 73.2367i) q^{71} +(25.9916 - 158.542i) q^{72} +(486.250 - 917.165i) q^{73} +(150.402 - 33.1059i) q^{74} +(3.35965 + 1.55434i) q^{75} +(330.665 + 829.906i) q^{76} +(1.72492 + 31.8142i) q^{77} +(358.268 + 528.406i) q^{78} +(507.083 + 596.984i) q^{79} +(-84.0148 - 158.469i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(-20.1892 + 372.368i) q^{82} +(-841.508 + 506.319i) q^{83} +(-252.237 - 908.476i) q^{84} +(-306.188 + 1102.79i) q^{85} +(-1138.56 - 685.046i) q^{86} +(-461.463 + 680.606i) q^{87} +(21.5750 - 2.34643i) q^{88} +(350.472 - 38.1162i) q^{89} +(251.237 - 370.546i) q^{90} +(1068.73 + 643.036i) q^{91} +(245.225 - 883.220i) q^{92} +(126.357 + 455.097i) q^{93} +(-197.909 + 119.078i) q^{94} +(-44.8673 + 827.529i) q^{95} +(610.938 - 205.849i) q^{96} +(409.148 + 771.735i) q^{97} +(-995.166 - 1171.60i) q^{98} +(-6.14038 - 9.05638i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 4.44507 + 0.483430i 1.57157 + 0.170918i 0.852015 0.523518i \(-0.175381\pi\)
0.719554 + 0.694436i \(0.244346\pi\)
\(3\) −1.94216 + 2.28649i −0.373769 + 0.440034i
\(4\) 11.7120 + 2.57800i 1.46400 + 0.322250i
\(5\) 8.85655 + 6.73258i 0.792154 + 0.602180i 0.921035 0.389480i \(-0.127345\pi\)
−0.128881 + 0.991660i \(0.541138\pi\)
\(6\) −9.73839 + 9.22469i −0.662613 + 0.627661i
\(7\) −9.70013 + 24.3455i −0.523758 + 1.31453i 0.394626 + 0.918842i \(0.370874\pi\)
−0.918384 + 0.395691i \(0.870505\pi\)
\(8\) 16.9165 + 5.69982i 0.747609 + 0.251899i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) 36.1133 + 34.2083i 1.14200 + 1.08176i
\(11\) 1.10339 0.510481i 0.0302440 0.0139923i −0.404709 0.914446i \(-0.632627\pi\)
0.434953 + 0.900453i \(0.356765\pi\)
\(12\) −28.6411 + 21.7724i −0.688997 + 0.523762i
\(13\) 7.69977 46.9665i 0.164272 1.00201i −0.768052 0.640388i \(-0.778774\pi\)
0.932324 0.361625i \(-0.117778\pi\)
\(14\) −54.8871 + 103.528i −1.04780 + 1.97636i
\(15\) −32.5948 + 7.17465i −0.561062 + 0.123499i
\(16\) −14.6323 6.76963i −0.228630 0.105775i
\(17\) 38.0786 + 95.5702i 0.543260 + 1.36348i 0.902683 + 0.430306i \(0.141594\pi\)
−0.359423 + 0.933175i \(0.617026\pi\)
\(18\) −2.17863 40.1825i −0.0285282 0.526173i
\(19\) 41.8049 + 61.6577i 0.504774 + 0.744486i 0.991646 0.128987i \(-0.0411726\pi\)
−0.486872 + 0.873473i \(0.661862\pi\)
\(20\) 86.3711 + 101.684i 0.965658 + 1.13686i
\(21\) −36.8264 69.4620i −0.382676 0.721803i
\(22\) 5.15141 1.73571i 0.0499220 0.0168207i
\(23\) 4.13809 76.3226i 0.0375153 0.691928i −0.917927 0.396750i \(-0.870138\pi\)
0.955442 0.295179i \(-0.0953792\pi\)
\(24\) −45.8870 + 27.6093i −0.390277 + 0.234822i
\(25\) −0.330111 1.18895i −0.00264089 0.00951162i
\(26\) 56.9310 205.047i 0.429427 1.54666i
\(27\) 23.1351 + 13.9200i 0.164902 + 0.0992184i
\(28\) −176.370 + 260.127i −1.19039 + 1.75569i
\(29\) 272.492 29.6353i 1.74485 0.189764i 0.820585 0.571524i \(-0.193648\pi\)
0.924261 + 0.381760i \(0.124682\pi\)
\(30\) −148.354 + 16.1345i −0.902856 + 0.0981916i
\(31\) 88.3519 130.309i 0.511886 0.754975i −0.480652 0.876911i \(-0.659600\pi\)
0.992538 + 0.121936i \(0.0389103\pi\)
\(32\) −184.134 110.790i −1.01721 0.612034i
\(33\) −0.975744 + 3.51431i −0.00514713 + 0.0185383i
\(34\) 123.061 + 443.224i 0.620727 + 2.23566i
\(35\) −249.818 + 150.310i −1.20648 + 0.725916i
\(36\) 5.84327 107.773i 0.0270522 0.498948i
\(37\) 32.6396 10.9975i 0.145025 0.0488645i −0.245853 0.969307i \(-0.579068\pi\)
0.390878 + 0.920443i \(0.372172\pi\)
\(38\) 156.019 + 294.282i 0.666041 + 1.25629i
\(39\) 92.4341 + 108.822i 0.379521 + 0.446806i
\(40\) 111.447 + 164.372i 0.440533 + 0.649738i
\(41\) 4.51531 + 83.2800i 0.0171993 + 0.317223i 0.994455 + 0.105160i \(0.0335355\pi\)
−0.977256 + 0.212063i \(0.931982\pi\)
\(42\) −130.116 326.567i −0.478032 1.19977i
\(43\) −269.710 124.781i −0.956520 0.442533i −0.121401 0.992603i \(-0.538739\pi\)
−0.835118 + 0.550070i \(0.814601\pi\)
\(44\) 14.2388 3.13421i 0.0487861 0.0107386i
\(45\) 46.8995 88.4618i 0.155364 0.293047i
\(46\) 55.2907 337.259i 0.177221 1.08100i
\(47\) −41.1233 + 31.2611i −0.127627 + 0.0970193i −0.667040 0.745022i \(-0.732439\pi\)
0.539414 + 0.842041i \(0.318646\pi\)
\(48\) 43.8969 20.3089i 0.131999 0.0610695i
\(49\) −249.594 236.428i −0.727679 0.689294i
\(50\) −0.892591 5.44456i −0.00252463 0.0153995i
\(51\) −292.475 98.5462i −0.803032 0.270573i
\(52\) 211.259 530.220i 0.563392 1.41401i
\(53\) 437.551 414.470i 1.13400 1.07419i 0.137511 0.990500i \(-0.456090\pi\)
0.996492 0.0836849i \(-0.0266689\pi\)
\(54\) 96.1080 + 73.0594i 0.242197 + 0.184113i
\(55\) 13.2090 + 2.90753i 0.0323838 + 0.00712821i
\(56\) −302.857 + 356.550i −0.722695 + 0.850822i
\(57\) −222.171 24.1626i −0.516268 0.0561476i
\(58\) 1225.57 2.77458
\(59\) −361.767 272.953i −0.798273 0.602296i
\(60\) −400.245 −0.861191
\(61\) −226.915 24.6785i −0.476287 0.0517993i −0.133172 0.991093i \(-0.542516\pi\)
−0.343115 + 0.939294i \(0.611482\pi\)
\(62\) 455.726 536.522i 0.933504 1.09901i
\(63\) 230.347 + 50.7031i 0.460650 + 0.101397i
\(64\) −662.251 503.430i −1.29346 0.983262i
\(65\) 384.399 364.122i 0.733520 0.694827i
\(66\) −6.03618 + 15.1497i −0.0112576 + 0.0282545i
\(67\) −275.393 92.7907i −0.502158 0.169197i 0.0568113 0.998385i \(-0.481907\pi\)
−0.558970 + 0.829188i \(0.688803\pi\)
\(68\) 199.596 + 1217.48i 0.355950 + 2.17120i
\(69\) 166.474 + 157.692i 0.290450 + 0.275129i
\(70\) −1183.12 + 547.370i −2.02014 + 0.934617i
\(71\) 96.3412 73.2367i 0.161037 0.122417i −0.521553 0.853219i \(-0.674647\pi\)
0.682589 + 0.730802i \(0.260854\pi\)
\(72\) 25.9916 158.542i 0.0425436 0.259504i
\(73\) 486.250 917.165i 0.779607 1.47049i −0.100100 0.994977i \(-0.531916\pi\)
0.879707 0.475517i \(-0.157739\pi\)
\(74\) 150.402 33.1059i 0.236268 0.0520065i
\(75\) 3.35965 + 1.55434i 0.00517252 + 0.00239306i
\(76\) 330.665 + 829.906i 0.499077 + 1.25259i
\(77\) 1.72492 + 31.8142i 0.00255289 + 0.0470853i
\(78\) 358.268 + 528.406i 0.520075 + 0.767054i
\(79\) 507.083 + 596.984i 0.722168 + 0.850202i 0.993682 0.112233i \(-0.0358002\pi\)
−0.271514 + 0.962435i \(0.587524\pi\)
\(80\) −84.0148 158.469i −0.117414 0.221467i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) −20.1892 + 372.368i −0.0271894 + 0.501478i
\(83\) −841.508 + 506.319i −1.11286 + 0.669587i −0.948489 0.316812i \(-0.897388\pi\)
−0.164373 + 0.986398i \(0.552560\pi\)
\(84\) −252.237 908.476i −0.327635 1.18003i
\(85\) −306.188 + 1102.79i −0.390715 + 1.40723i
\(86\) −1138.56 685.046i −1.42760 0.858959i
\(87\) −461.463 + 680.606i −0.568666 + 0.838720i
\(88\) 21.5750 2.34643i 0.0261353 0.00284239i
\(89\) 350.472 38.1162i 0.417416 0.0453967i 0.102998 0.994682i \(-0.467156\pi\)
0.314417 + 0.949285i \(0.398191\pi\)
\(90\) 251.237 370.546i 0.294252 0.433989i
\(91\) 1068.73 + 643.036i 1.23114 + 0.740752i
\(92\) 245.225 883.220i 0.277896 1.00089i
\(93\) 126.357 + 455.097i 0.140888 + 0.507434i
\(94\) −197.909 + 119.078i −0.217157 + 0.130659i
\(95\) −44.8673 + 827.529i −0.0484557 + 0.893712i
\(96\) 610.938 205.849i 0.649516 0.218848i
\(97\) 409.148 + 771.735i 0.428275 + 0.807813i 0.999919 0.0126887i \(-0.00403906\pi\)
−0.571644 + 0.820502i \(0.693694\pi\)
\(98\) −995.166 1171.60i −1.02578 1.20765i
\(99\) −6.14038 9.05638i −0.00623365 0.00919394i
\(100\) −0.801132 14.7760i −0.000801132 0.0147760i
\(101\) −189.140 474.706i −0.186338 0.467674i 0.805896 0.592057i \(-0.201684\pi\)
−0.992234 + 0.124383i \(0.960305\pi\)
\(102\) −1252.43 579.436i −1.21577 0.562477i
\(103\) 1489.56 327.876i 1.42495 0.313656i 0.565449 0.824783i \(-0.308703\pi\)
0.859505 + 0.511127i \(0.170772\pi\)
\(104\) 397.953 750.620i 0.375217 0.707734i
\(105\) 141.503 863.131i 0.131517 0.802218i
\(106\) 2145.31 1630.82i 1.96576 1.49433i
\(107\) −1042.68 + 482.396i −0.942055 + 0.435841i −0.829939 0.557854i \(-0.811625\pi\)
−0.112116 + 0.993695i \(0.535763\pi\)
\(108\) 235.072 + 222.672i 0.209443 + 0.198395i
\(109\) 261.702 + 1596.31i 0.229968 + 1.40274i 0.809178 + 0.587563i \(0.199913\pi\)
−0.579211 + 0.815178i \(0.696639\pi\)
\(110\) 57.3096 + 19.3098i 0.0496750 + 0.0167375i
\(111\) −38.2455 + 95.9889i −0.0327036 + 0.0820798i
\(112\) 306.745 290.564i 0.258792 0.245141i
\(113\) −1776.65 1350.58i −1.47906 1.12435i −0.963571 0.267453i \(-0.913818\pi\)
−0.515486 0.856898i \(-0.672389\pi\)
\(114\) −975.885 214.809i −0.801755 0.176480i
\(115\) 550.497 648.095i 0.446383 0.525523i
\(116\) 3267.82 + 355.397i 2.61560 + 0.284464i
\(117\) −428.341 −0.338463
\(118\) −1476.13 1388.18i −1.15160 1.08299i
\(119\) −2696.07 −2.07688
\(120\) −592.282 64.4146i −0.450564 0.0490018i
\(121\) −860.714 + 1013.31i −0.646667 + 0.761316i
\(122\) −996.723 219.395i −0.739665 0.162812i
\(123\) −199.188 151.419i −0.146018 0.111000i
\(124\) 1370.71 1298.41i 0.992690 0.940326i
\(125\) 519.805 1304.61i 0.371942 0.933505i
\(126\) 999.396 + 336.736i 0.706613 + 0.238086i
\(127\) 143.867 + 877.551i 0.100521 + 0.613150i 0.988257 + 0.152798i \(0.0488284\pi\)
−0.887737 + 0.460352i \(0.847723\pi\)
\(128\) −1452.28 1375.67i −1.00285 0.949946i
\(129\) 809.129 374.343i 0.552247 0.255497i
\(130\) 1884.71 1432.72i 1.27154 0.966597i
\(131\) −107.955 + 658.498i −0.0720007 + 0.439185i 0.926084 + 0.377318i \(0.123154\pi\)
−0.998084 + 0.0618668i \(0.980295\pi\)
\(132\) −20.4878 + 38.6441i −0.0135093 + 0.0254813i
\(133\) −1906.60 + 419.674i −1.24303 + 0.273612i
\(134\) −1179.28 545.594i −0.760258 0.351733i
\(135\) 111.180 + 279.042i 0.0708807 + 0.177897i
\(136\) 99.4230 + 1833.75i 0.0626872 + 1.15620i
\(137\) 49.0505 + 72.3441i 0.0305888 + 0.0451151i 0.842676 0.538421i \(-0.180979\pi\)
−0.812087 + 0.583536i \(0.801669\pi\)
\(138\) 663.754 + 781.431i 0.409438 + 0.482028i
\(139\) 302.199 + 570.008i 0.184404 + 0.347823i 0.958429 0.285333i \(-0.0921041\pi\)
−0.774024 + 0.633156i \(0.781759\pi\)
\(140\) −3313.36 + 1116.40i −2.00021 + 0.673950i
\(141\) 8.38987 154.742i 0.00501102 0.0924229i
\(142\) 463.648 278.968i 0.274003 0.164862i
\(143\) −15.4797 55.7528i −0.00905228 0.0326034i
\(144\) −38.8188 + 139.813i −0.0224646 + 0.0809102i
\(145\) 2612.86 + 1572.11i 1.49646 + 0.900390i
\(146\) 2604.80 3841.79i 1.47654 2.17773i
\(147\) 1025.34 111.512i 0.575297 0.0625673i
\(148\) 410.625 44.6582i 0.228062 0.0248032i
\(149\) −794.997 + 1172.53i −0.437105 + 0.644682i −0.980895 0.194540i \(-0.937679\pi\)
0.543789 + 0.839222i \(0.316989\pi\)
\(150\) 14.1825 + 8.53331i 0.00771996 + 0.00464494i
\(151\) −617.169 + 2222.84i −0.332613 + 1.19796i 0.588445 + 0.808537i \(0.299740\pi\)
−0.921058 + 0.389426i \(0.872674\pi\)
\(152\) 355.754 + 1281.31i 0.189838 + 0.683736i
\(153\) 793.357 477.347i 0.419210 0.252230i
\(154\) −7.71258 + 142.250i −0.00403570 + 0.0744341i
\(155\) 1659.81 559.255i 0.860123 0.289809i
\(156\) 802.043 + 1512.81i 0.411633 + 0.776423i
\(157\) −1005.40 1183.65i −0.511082 0.601693i 0.444732 0.895664i \(-0.353299\pi\)
−0.955814 + 0.293971i \(0.905023\pi\)
\(158\) 1965.42 + 2898.77i 0.989622 + 1.45958i
\(159\) 97.8870 + 1805.42i 0.0488235 + 0.900497i
\(160\) −884.893 2220.91i −0.437231 1.09737i
\(161\) 1817.97 + 841.083i 0.889914 + 0.411718i
\(162\) −353.706 + 77.8566i −0.171542 + 0.0377592i
\(163\) −782.046 + 1475.10i −0.375795 + 0.708824i −0.997209 0.0746577i \(-0.976214\pi\)
0.621414 + 0.783482i \(0.286558\pi\)
\(164\) −161.813 + 987.014i −0.0770454 + 0.469956i
\(165\) −32.3021 + 24.5554i −0.0152407 + 0.0115857i
\(166\) −3985.33 + 1843.81i −1.86338 + 0.862093i
\(167\) 1704.39 + 1614.49i 0.789760 + 0.748100i 0.971956 0.235162i \(-0.0755620\pi\)
−0.182196 + 0.983262i \(0.558321\pi\)
\(168\) −227.052 1384.96i −0.104270 0.636022i
\(169\) −64.5723 21.7569i −0.0293911 0.00990302i
\(170\) −1894.15 + 4753.96i −0.854556 + 2.14477i
\(171\) 486.739 461.064i 0.217672 0.206190i
\(172\) −2837.15 2156.74i −1.25774 0.956106i
\(173\) −3333.01 733.651i −1.46476 0.322419i −0.590171 0.807278i \(-0.700940\pi\)
−0.874592 + 0.484859i \(0.838871\pi\)
\(174\) −2380.26 + 2802.26i −1.03705 + 1.22091i
\(175\) 32.1477 + 3.49628i 0.0138865 + 0.00151025i
\(176\) −19.6009 −0.00839472
\(177\) 1326.71 297.058i 0.563400 0.126148i
\(178\) 1576.30 0.663757
\(179\) −2731.69 297.089i −1.14065 0.124053i −0.481766 0.876300i \(-0.660004\pi\)
−0.658881 + 0.752247i \(0.728970\pi\)
\(180\) 777.340 915.155i 0.321886 0.378954i
\(181\) 2693.94 + 592.981i 1.10629 + 0.243514i 0.730312 0.683114i \(-0.239375\pi\)
0.375981 + 0.926627i \(0.377306\pi\)
\(182\) 4439.73 + 3375.00i 1.80821 + 1.37457i
\(183\) 497.132 470.909i 0.200815 0.190222i
\(184\) 505.027 1267.52i 0.202343 0.507842i
\(185\) 363.116 + 122.348i 0.144307 + 0.0486227i
\(186\) 341.658 + 2084.02i 0.134686 + 0.821547i
\(187\) 90.8022 + 86.0124i 0.0355086 + 0.0336356i
\(188\) −562.226 + 260.114i −0.218109 + 0.100908i
\(189\) −563.302 + 428.211i −0.216795 + 0.164803i
\(190\) −599.491 + 3656.73i −0.228903 + 1.39625i
\(191\) 938.470 1770.14i 0.355525 0.670592i −0.639654 0.768663i \(-0.720922\pi\)
0.995179 + 0.0980712i \(0.0312673\pi\)
\(192\) 2437.28 536.486i 0.916124 0.201654i
\(193\) −1604.13 742.149i −0.598279 0.276793i 0.0972863 0.995256i \(-0.468984\pi\)
−0.695565 + 0.718463i \(0.744846\pi\)
\(194\) 1445.61 + 3628.21i 0.534994 + 1.34273i
\(195\) 85.9961 + 1586.11i 0.0315811 + 0.582479i
\(196\) −2313.73 3412.49i −0.843194 1.24362i
\(197\) −1944.63 2289.39i −0.703294 0.827982i 0.288277 0.957547i \(-0.406918\pi\)
−0.991571 + 0.129565i \(0.958642\pi\)
\(198\) −22.9163 43.2247i −0.00822520 0.0155144i
\(199\) −608.015 + 204.864i −0.216588 + 0.0729770i −0.425504 0.904957i \(-0.639903\pi\)
0.208916 + 0.977934i \(0.433007\pi\)
\(200\) 1.19250 21.9944i 0.000421614 0.00777621i
\(201\) 747.022 449.468i 0.262144 0.157727i
\(202\) −611.254 2201.54i −0.212909 0.766830i
\(203\) −1921.72 + 6921.43i −0.664427 + 2.39305i
\(204\) −3171.40 1908.17i −1.08844 0.654895i
\(205\) −520.699 + 767.973i −0.177401 + 0.261647i
\(206\) 6779.68 737.335i 2.29302 0.249381i
\(207\) −683.879 + 74.3764i −0.229628 + 0.0249735i
\(208\) −430.611 + 635.104i −0.143546 + 0.211714i
\(209\) 77.6020 + 46.6916i 0.0256835 + 0.0154532i
\(210\) 1046.25 3768.27i 0.343802 1.23826i
\(211\) 270.273 + 973.436i 0.0881818 + 0.317602i 0.994465 0.105069i \(-0.0335063\pi\)
−0.906283 + 0.422671i \(0.861093\pi\)
\(212\) 6193.08 3726.25i 2.00633 1.20717i
\(213\) −19.6553 + 362.520i −0.00632280 + 0.116617i
\(214\) −4868.00 + 1640.22i −1.55500 + 0.523940i
\(215\) −1548.60 2920.97i −0.491226 0.926551i
\(216\) 312.023 + 367.342i 0.0982894 + 0.115715i
\(217\) 2315.42 + 3414.99i 0.724336 + 1.06832i
\(218\) 391.577 + 7222.22i 0.121656 + 2.24381i
\(219\) 1152.71 + 2893.08i 0.355676 + 0.892678i
\(220\) 147.208 + 68.1059i 0.0451127 + 0.0208713i
\(221\) 4781.79 1052.55i 1.45547 0.320373i
\(222\) −216.408 + 408.188i −0.0654249 + 0.123404i
\(223\) 690.282 4210.54i 0.207286 1.26439i −0.654089 0.756418i \(-0.726948\pi\)
0.861375 0.507970i \(-0.169604\pi\)
\(224\) 4483.36 3408.16i 1.33731 1.01660i
\(225\) −10.0790 + 4.66302i −0.00298636 + 0.00138164i
\(226\) −7244.44 6862.30i −2.13227 2.01979i
\(227\) −1019.58 6219.18i −0.298115 1.81842i −0.532675 0.846320i \(-0.678813\pi\)
0.234560 0.972102i \(-0.424635\pi\)
\(228\) −2539.77 855.749i −0.737721 0.248567i
\(229\) 1639.61 4115.10i 0.473136 1.18748i −0.477903 0.878412i \(-0.658603\pi\)
0.951039 0.309069i \(-0.100018\pi\)
\(230\) 2760.30 2614.70i 0.791344 0.749601i
\(231\) −76.0928 57.8443i −0.0216733 0.0164756i
\(232\) 4778.52 + 1051.83i 1.35226 + 0.297656i
\(233\) 711.804 838.000i 0.200137 0.235619i −0.652934 0.757415i \(-0.726462\pi\)
0.853070 + 0.521796i \(0.174738\pi\)
\(234\) −1904.01 207.073i −0.531918 0.0578496i
\(235\) −574.679 −0.159523
\(236\) −3533.34 4129.45i −0.974579 1.13900i
\(237\) −2349.83 −0.644042
\(238\) −11984.2 1303.36i −3.26396 0.354977i
\(239\) 1187.10 1397.57i 0.321286 0.378247i −0.577682 0.816262i \(-0.696042\pi\)
0.898968 + 0.438015i \(0.144318\pi\)
\(240\) 525.506 + 115.673i 0.141339 + 0.0311110i
\(241\) −2282.61 1735.19i −0.610107 0.463791i 0.253928 0.967223i \(-0.418277\pi\)
−0.864035 + 0.503432i \(0.832070\pi\)
\(242\) −4315.80 + 4088.14i −1.14641 + 1.08593i
\(243\) 89.9436 225.741i 0.0237444 0.0595939i
\(244\) −2594.00 874.021i −0.680590 0.229317i
\(245\) −618.773 3774.35i −0.161355 0.984221i
\(246\) −812.204 769.361i −0.210505 0.199401i
\(247\) 3217.73 1488.68i 0.828905 0.383492i
\(248\) 2237.34 1700.78i 0.572868 0.435483i
\(249\) 476.652 2907.45i 0.121312 0.739968i
\(250\) 2941.26 5547.81i 0.744087 1.40350i
\(251\) 5086.57 1119.64i 1.27913 0.281558i 0.477104 0.878847i \(-0.341687\pi\)
0.802026 + 0.597289i \(0.203756\pi\)
\(252\) 2567.10 + 1187.67i 0.641715 + 0.296889i
\(253\) −34.3953 86.3257i −0.00854709 0.0214516i
\(254\) 215.265 + 3970.32i 0.0531768 + 0.980788i
\(255\) −1926.85 2841.89i −0.473192 0.697905i
\(256\) −1482.06 1744.82i −0.361832 0.425981i
\(257\) 3374.21 + 6364.43i 0.818977 + 1.54476i 0.838472 + 0.544945i \(0.183450\pi\)
−0.0194940 + 0.999810i \(0.506206\pi\)
\(258\) 3777.60 1272.82i 0.911564 0.307142i
\(259\) −48.8673 + 901.304i −0.0117238 + 0.216233i
\(260\) 5440.78 3273.61i 1.29778 0.780848i
\(261\) −659.963 2376.97i −0.156516 0.563720i
\(262\) −798.206 + 2874.88i −0.188219 + 0.677903i
\(263\) −3707.80 2230.91i −0.869327 0.523056i 0.00963252 0.999954i \(-0.496934\pi\)
−0.878959 + 0.476897i \(0.841761\pi\)
\(264\) −36.5371 + 53.8882i −0.00851781 + 0.0125628i
\(265\) 6665.64 724.932i 1.54516 0.168046i
\(266\) −8677.85 + 943.773i −2.00027 + 0.217543i
\(267\) −593.521 + 875.378i −0.136041 + 0.200645i
\(268\) −2986.18 1796.73i −0.680634 0.409524i
\(269\) −352.182 + 1268.45i −0.0798250 + 0.287504i −0.992679 0.120783i \(-0.961460\pi\)
0.912854 + 0.408286i \(0.133873\pi\)
\(270\) 359.307 + 1294.11i 0.0809880 + 0.291692i
\(271\) −5683.00 + 3419.35i −1.27387 + 0.766459i −0.981796 0.189938i \(-0.939171\pi\)
−0.292069 + 0.956397i \(0.594344\pi\)
\(272\) 89.7960 1656.19i 0.0200172 0.369196i
\(273\) −3545.94 + 1194.77i −0.786118 + 0.264874i
\(274\) 183.059 + 345.287i 0.0403614 + 0.0761297i
\(275\) −0.971177 1.14336i −0.000212961 0.000250717i
\(276\) 1543.20 + 2276.06i 0.336558 + 0.496386i
\(277\) 14.1939 + 261.792i 0.00307881 + 0.0567854i 0.999669 0.0257243i \(-0.00818921\pi\)
−0.996590 + 0.0825097i \(0.973706\pi\)
\(278\) 1067.74 + 2679.82i 0.230355 + 0.578146i
\(279\) −1285.98 594.957i −0.275948 0.127667i
\(280\) −5082.77 + 1118.80i −1.08483 + 0.238790i
\(281\) 60.7840 114.651i 0.0129042 0.0243398i −0.876976 0.480534i \(-0.840443\pi\)
0.889880 + 0.456194i \(0.150788\pi\)
\(282\) 112.101 683.783i 0.0236720 0.144393i
\(283\) 3091.89 2350.40i 0.649449 0.493698i −0.227817 0.973704i \(-0.573159\pi\)
0.877265 + 0.480006i \(0.159366\pi\)
\(284\) 1317.15 609.378i 0.275206 0.127324i
\(285\) −1804.99 1709.78i −0.375153 0.355364i
\(286\) −41.8557 255.308i −0.00865377 0.0527857i
\(287\) −2071.29 697.900i −0.426009 0.143539i
\(288\) −715.868 + 1796.69i −0.146468 + 0.367608i
\(289\) −4116.86 + 3899.70i −0.837953 + 0.793751i
\(290\) 10854.4 + 8251.27i 2.19790 + 1.67080i
\(291\) −2559.19 563.321i −0.515541 0.113479i
\(292\) 8059.40 9488.26i 1.61521 1.90157i
\(293\) −6048.19 657.781i −1.20594 0.131153i −0.517006 0.855982i \(-0.672954\pi\)
−0.688930 + 0.724828i \(0.741919\pi\)
\(294\) 4611.62 0.914813
\(295\) −1366.34 4853.05i −0.269665 0.957815i
\(296\) 614.830 0.120731
\(297\) 32.6329 + 3.54904i 0.00637559 + 0.000693388i
\(298\) −4100.66 + 4827.67i −0.797130 + 0.938454i
\(299\) −3552.74 782.018i −0.687158 0.151255i
\(300\) 35.3410 + 26.8656i 0.00680139 + 0.00517028i
\(301\) 5654.07 5355.82i 1.08271 1.02560i
\(302\) −3817.95 + 9582.33i −0.727478 + 1.82583i
\(303\) 1452.75 + 489.489i 0.275440 + 0.0928065i
\(304\) −194.303 1185.20i −0.0366581 0.223604i
\(305\) −1843.54 1746.29i −0.346100 0.327843i
\(306\) 3757.29 1738.31i 0.701928 0.324746i
\(307\) 4623.25 3514.51i 0.859489 0.653366i −0.0796808 0.996820i \(-0.525390\pi\)
0.939169 + 0.343454i \(0.111597\pi\)
\(308\) −61.8149 + 377.054i −0.0114358 + 0.0697553i
\(309\) −2143.27 + 4042.64i −0.394584 + 0.744264i
\(310\) 7648.33 1683.52i 1.40128 0.308444i
\(311\) −3077.16 1423.65i −0.561060 0.259574i 0.118797 0.992919i \(-0.462096\pi\)
−0.679857 + 0.733345i \(0.737958\pi\)
\(312\) 943.393 + 2367.74i 0.171183 + 0.429637i
\(313\) −485.614 8956.63i −0.0876950 1.61744i −0.629545 0.776964i \(-0.716759\pi\)
0.541850 0.840475i \(-0.317724\pi\)
\(314\) −3896.87 5747.46i −0.700361 1.03295i
\(315\) 1698.71 + 1999.88i 0.303847 + 0.357716i
\(316\) 4399.91 + 8299.12i 0.783274 + 1.47741i
\(317\) 6685.76 2252.70i 1.18457 0.399129i 0.343033 0.939323i \(-0.388546\pi\)
0.841540 + 0.540194i \(0.181649\pi\)
\(318\) −437.680 + 8072.54i −0.0771820 + 1.42354i
\(319\) 285.536 171.801i 0.0501158 0.0301537i
\(320\) −2475.88 8917.31i −0.432518 1.55779i
\(321\) 922.062 3320.97i 0.160326 0.577440i
\(322\) 7674.40 + 4617.53i 1.32819 + 0.799146i
\(323\) −4300.76 + 6343.14i −0.740869 + 1.09270i
\(324\) −965.686 + 105.025i −0.165584 + 0.0180083i
\(325\) −58.3827 + 6.34950i −0.00996459 + 0.00108371i
\(326\) −4189.35 + 6178.84i −0.711739 + 1.04974i
\(327\) −4158.21 2501.91i −0.703209 0.423107i
\(328\) −398.298 + 1434.54i −0.0670498 + 0.241491i
\(329\) −362.166 1304.40i −0.0606896 0.218584i
\(330\) −155.456 + 93.5347i −0.0259320 + 0.0156028i
\(331\) −576.098 + 10625.5i −0.0956653 + 1.76444i 0.419880 + 0.907580i \(0.362072\pi\)
−0.515545 + 0.856862i \(0.672411\pi\)
\(332\) −11161.0 + 3760.58i −1.84500 + 0.621653i
\(333\) −145.198 273.873i −0.0238944 0.0450696i
\(334\) 6795.65 + 8000.46i 1.11330 + 1.31068i
\(335\) −1814.31 2675.91i −0.295900 0.436420i
\(336\) 68.6238 + 1265.69i 0.0111421 + 0.205503i
\(337\) 1598.56 + 4012.09i 0.258396 + 0.648524i 0.999745 0.0225956i \(-0.00719301\pi\)
−0.741349 + 0.671120i \(0.765814\pi\)
\(338\) −276.510 127.927i −0.0444976 0.0205868i
\(339\) 6538.62 1439.26i 1.04758 0.230589i
\(340\) −6429.06 + 12126.5i −1.02548 + 1.93427i
\(341\) 30.9659 188.883i 0.00491758 0.0299959i
\(342\) 2386.48 1814.16i 0.377328 0.286837i
\(343\) 18.9175 8.75217i 0.00297799 0.00137776i
\(344\) −3851.30 3648.15i −0.603629 0.571788i
\(345\) 412.708 + 2517.41i 0.0644042 + 0.392848i
\(346\) −14460.8 4872.41i −2.24687 0.757059i
\(347\) 925.489 2322.80i 0.143178 0.359351i −0.839846 0.542824i \(-0.817355\pi\)
0.983025 + 0.183474i \(0.0587343\pi\)
\(348\) −7159.24 + 6781.59i −1.10280 + 1.04463i
\(349\) 7512.74 + 5711.03i 1.15229 + 0.875945i 0.993774 0.111413i \(-0.0355375\pi\)
0.158511 + 0.987357i \(0.449331\pi\)
\(350\) 141.209 + 31.0824i 0.0215655 + 0.00474693i
\(351\) 831.907 979.396i 0.126507 0.148935i
\(352\) −259.727 28.2471i −0.0393282 0.00427720i
\(353\) −858.428 −0.129432 −0.0647160 0.997904i \(-0.520614\pi\)
−0.0647160 + 0.997904i \(0.520614\pi\)
\(354\) 6040.94 679.071i 0.906984 0.101955i
\(355\) 1346.32 0.201283
\(356\) 4202.99 + 457.102i 0.625724 + 0.0680516i
\(357\) 5236.20 6164.53i 0.776272 0.913898i
\(358\) −11998.9 2641.16i −1.77140 0.389915i
\(359\) −3161.21 2403.09i −0.464742 0.353288i 0.346449 0.938069i \(-0.387387\pi\)
−0.811191 + 0.584781i \(0.801180\pi\)
\(360\) 1297.59 1229.14i 0.189969 0.179948i
\(361\) 484.763 1216.66i 0.0706755 0.177382i
\(362\) 11688.1 + 3938.18i 1.69700 + 0.571784i
\(363\) −645.278 3936.02i −0.0933012 0.569112i
\(364\) 10859.2 + 10286.4i 1.56368 + 1.48119i
\(365\) 10481.4 4849.20i 1.50307 0.695394i
\(366\) 2437.44 1852.89i 0.348107 0.264624i
\(367\) −1302.52 + 7945.01i −0.185261 + 1.13004i 0.716428 + 0.697661i \(0.245776\pi\)
−0.901690 + 0.432384i \(0.857673\pi\)
\(368\) −577.225 + 1088.76i −0.0817661 + 0.154227i
\(369\) 733.072 161.361i 0.103421 0.0227646i
\(370\) 1554.93 + 719.386i 0.218478 + 0.101079i
\(371\) 5846.17 + 14672.8i 0.818109 + 2.05330i
\(372\) 306.650 + 5655.83i 0.0427394 + 0.788282i
\(373\) −4466.85 6588.11i −0.620066 0.914529i 0.379879 0.925036i \(-0.375966\pi\)
−0.999945 + 0.0105074i \(0.996655\pi\)
\(374\) 362.041 + 426.228i 0.0500553 + 0.0589297i
\(375\) 1973.44 + 3722.29i 0.271754 + 0.512582i
\(376\) −873.844 + 294.432i −0.119854 + 0.0403835i
\(377\) 706.260 13026.2i 0.0964834 1.77953i
\(378\) −2710.93 + 1631.11i −0.368876 + 0.221945i
\(379\) 1255.88 + 4523.26i 0.170211 + 0.613046i 0.998600 + 0.0528926i \(0.0168441\pi\)
−0.828389 + 0.560154i \(0.810742\pi\)
\(380\) −2658.85 + 9576.33i −0.358938 + 1.29278i
\(381\) −2285.92 1375.39i −0.307379 0.184944i
\(382\) 5027.30 7414.72i 0.673349 0.993115i
\(383\) 2573.99 279.938i 0.343407 0.0373477i 0.0652091 0.997872i \(-0.479229\pi\)
0.278197 + 0.960524i \(0.410263\pi\)
\(384\) 5966.00 648.841i 0.792841 0.0862267i
\(385\) −198.915 + 293.377i −0.0263315 + 0.0388361i
\(386\) −6771.69 4074.39i −0.892927 0.537256i
\(387\) −715.527 + 2577.10i −0.0939853 + 0.338504i
\(388\) 2802.40 + 10093.3i 0.366676 + 1.32065i
\(389\) −6297.81 + 3789.27i −0.820853 + 0.493891i −0.862990 0.505221i \(-0.831411\pi\)
0.0421370 + 0.999112i \(0.486583\pi\)
\(390\) −384.513 + 7091.92i −0.0499245 + 0.920804i
\(391\) 7451.73 2510.78i 0.963812 0.324746i
\(392\) −2874.65 5422.16i −0.370387 0.698624i
\(393\) −1295.98 1525.75i −0.166345 0.195836i
\(394\) −7537.24 11116.6i −0.963758 1.42144i
\(395\) 471.765 + 8701.19i 0.0600939 + 1.10837i
\(396\) −48.5686 121.898i −0.00616329 0.0154687i
\(397\) −9918.63 4588.85i −1.25391 0.580120i −0.323356 0.946278i \(-0.604811\pi\)
−0.930553 + 0.366158i \(0.880673\pi\)
\(398\) −2801.70 + 616.702i −0.352856 + 0.0776695i
\(399\) 2743.34 5174.49i 0.344207 0.649244i
\(400\) −3.21848 + 19.6318i −0.000402310 + 0.00245398i
\(401\) 2304.97 1752.19i 0.287044 0.218205i −0.451737 0.892151i \(-0.649195\pi\)
0.738780 + 0.673947i \(0.235402\pi\)
\(402\) 3537.85 1636.78i 0.438935 0.203073i
\(403\) −5439.88 5152.93i −0.672407 0.636937i
\(404\) −991.413 6047.35i −0.122091 0.744720i
\(405\) −853.956 287.731i −0.104774 0.0353024i
\(406\) −11888.2 + 29837.2i −1.45321 + 3.64728i
\(407\) 30.4000 28.7964i 0.00370239 0.00350709i
\(408\) −4385.94 3334.10i −0.532197 0.404566i
\(409\) −8236.49 1812.99i −0.995766 0.219185i −0.312946 0.949771i \(-0.601316\pi\)
−0.682820 + 0.730586i \(0.739247\pi\)
\(410\) −2685.80 + 3161.97i −0.323518 + 0.380875i
\(411\) −260.678 28.3504i −0.0312853 0.00340249i
\(412\) 18290.9 2.18720
\(413\) 10154.4 6159.73i 1.20984 0.733899i
\(414\) −3075.85 −0.365144
\(415\) −10861.7 1181.28i −1.28477 0.139727i
\(416\) −6621.21 + 7795.09i −0.780364 + 0.918716i
\(417\) −1890.23 416.072i −0.221979 0.0488612i
\(418\) 322.374 + 245.063i 0.0377221 + 0.0286756i
\(419\) 3942.98 3734.99i 0.459730 0.435480i −0.422454 0.906385i \(-0.638831\pi\)
0.882184 + 0.470905i \(0.156072\pi\)
\(420\) 3882.43 9744.17i 0.451055 1.13206i
\(421\) 1248.51 + 420.671i 0.144533 + 0.0486989i 0.390638 0.920544i \(-0.372254\pi\)
−0.246105 + 0.969243i \(0.579151\pi\)
\(422\) 730.794 + 4457.65i 0.0842998 + 0.514206i
\(423\) 337.521 + 319.717i 0.0387963 + 0.0367498i
\(424\) 9764.21 4517.40i 1.11838 0.517416i
\(425\) 101.058 76.8225i 0.0115342 0.00876809i
\(426\) −262.622 + 1601.92i −0.0298688 + 0.182191i
\(427\) 2801.92 5284.98i 0.317551 0.598965i
\(428\) −13455.5 + 2961.78i −1.51961 + 0.334493i
\(429\) 157.542 + 72.8867i 0.0177301 + 0.00820280i
\(430\) −5471.55 13732.6i −0.613632 1.54010i
\(431\) −477.478 8806.56i −0.0533626 0.984216i −0.895530 0.445000i \(-0.853204\pi\)
0.842168 0.539216i \(-0.181279\pi\)
\(432\) −244.288 360.297i −0.0272067 0.0401269i
\(433\) 3879.75 + 4567.59i 0.430598 + 0.506939i 0.934079 0.357068i \(-0.116223\pi\)
−0.503481 + 0.864006i \(0.667948\pi\)
\(434\) 8641.29 + 16299.2i 0.955749 + 1.80273i
\(435\) −8669.20 + 2920.99i −0.955532 + 0.321956i
\(436\) −1050.24 + 19370.6i −0.115361 + 2.12771i
\(437\) 4878.86 2935.51i 0.534068 0.321338i
\(438\) 3725.27 + 13417.2i 0.406394 + 1.46370i
\(439\) −3181.02 + 11457.0i −0.345836 + 1.24559i 0.562308 + 0.826928i \(0.309914\pi\)
−0.908143 + 0.418659i \(0.862500\pi\)
\(440\) 206.878 + 124.474i 0.0224148 + 0.0134865i
\(441\) −1736.40 + 2561.00i −0.187496 + 0.276536i
\(442\) 21764.2 2367.00i 2.34213 0.254721i
\(443\) −7650.73 + 832.067i −0.820535 + 0.0892386i −0.508750 0.860914i \(-0.669892\pi\)
−0.311785 + 0.950153i \(0.600927\pi\)
\(444\) −695.389 + 1025.62i −0.0743282 + 0.109626i
\(445\) 3360.60 + 2022.00i 0.357995 + 0.215398i
\(446\) 5103.85 18382.4i 0.541871 1.95164i
\(447\) −1136.97 4095.00i −0.120306 0.433304i
\(448\) 18680.2 11239.5i 1.96999 1.18530i
\(449\) 1013.24 18688.0i 0.106498 1.96424i −0.127057 0.991895i \(-0.540553\pi\)
0.233555 0.972344i \(-0.424964\pi\)
\(450\) −47.0559 + 15.8550i −0.00492941 + 0.00166091i
\(451\) 47.4950 + 89.5851i 0.00495887 + 0.00935343i
\(452\) −17326.3 20398.1i −1.80301 2.12267i
\(453\) −3883.86 5728.26i −0.402825 0.594122i
\(454\) −1525.58 28137.6i −0.157707 2.90873i
\(455\) 5136.01 + 12890.4i 0.529186 + 1.32816i
\(456\) −3620.63 1675.08i −0.371823 0.172024i
\(457\) −3718.10 + 818.417i −0.380581 + 0.0837722i −0.401141 0.916016i \(-0.631386\pi\)
0.0205597 + 0.999789i \(0.493455\pi\)
\(458\) 9277.52 17499.3i 0.946529 1.78534i
\(459\) −449.378 + 2741.08i −0.0456975 + 0.278742i
\(460\) 8118.19 6171.29i 0.822853 0.625517i
\(461\) −13640.2 + 6310.65i −1.37807 + 0.637562i −0.962320 0.271918i \(-0.912342\pi\)
−0.415748 + 0.909480i \(0.636480\pi\)
\(462\) −310.274 293.907i −0.0312452 0.0295970i
\(463\) −335.207 2044.67i −0.0336466 0.205235i 0.964653 0.263523i \(-0.0848843\pi\)
−0.998300 + 0.0582873i \(0.981436\pi\)
\(464\) −4187.81 1411.04i −0.418996 0.141176i
\(465\) −1944.89 + 4881.29i −0.193961 + 0.486806i
\(466\) 3569.13 3380.86i 0.354800 0.336085i
\(467\) 5307.71 + 4034.81i 0.525935 + 0.399805i 0.834172 0.551504i \(-0.185946\pi\)
−0.308237 + 0.951309i \(0.599739\pi\)
\(468\) −5016.72 1104.26i −0.495509 0.109070i
\(469\) 4930.38 5804.50i 0.485424 0.571486i
\(470\) −2554.49 277.817i −0.250702 0.0272654i
\(471\) 4659.06 0.455792
\(472\) −4564.04 6679.41i −0.445078 0.651366i
\(473\) −361.292 −0.0351210
\(474\) −10445.2 1135.98i −1.01216 0.110079i
\(475\) 59.5077 70.0579i 0.00574822 0.00676732i
\(476\) −31576.3 6950.47i −3.04054 0.669274i
\(477\) −4318.18 3282.59i −0.414499 0.315094i
\(478\) 5952.38 5638.40i 0.569573 0.539528i
\(479\) −6912.00 + 17347.8i −0.659327 + 1.65479i 0.0927338 + 0.995691i \(0.470439\pi\)
−0.752060 + 0.659094i \(0.770940\pi\)
\(480\) 6796.69 + 2290.07i 0.646303 + 0.217765i
\(481\) −265.199 1617.64i −0.0251394 0.153344i
\(482\) −9307.50 8816.54i −0.879554 0.833158i
\(483\) −5453.91 + 2523.25i −0.513792 + 0.237705i
\(484\) −12693.0 + 9648.95i −1.19205 + 0.906175i
\(485\) −1572.12 + 9589.53i −0.147189 + 0.897811i
\(486\) 508.936 959.954i 0.0475016 0.0895976i
\(487\) −11807.0 + 2598.93i −1.09862 + 0.241825i −0.727053 0.686581i \(-0.759111\pi\)
−0.371567 + 0.928406i \(0.621180\pi\)
\(488\) −3697.94 1710.85i −0.343028 0.158702i
\(489\) −1853.93 4653.01i −0.171447 0.430299i
\(490\) −925.853 17076.4i −0.0853588 1.57435i
\(491\) −9077.75 13388.7i −0.834365 1.23060i −0.970786 0.239946i \(-0.922870\pi\)
0.136421 0.990651i \(-0.456440\pi\)
\(492\) −1942.53 2286.92i −0.178000 0.209558i
\(493\) 13208.4 + 24913.7i 1.20665 + 2.27597i
\(494\) 15022.7 5061.74i 1.36823 0.461009i
\(495\) 6.59019 121.549i 0.000598398 0.0110368i
\(496\) −2174.94 + 1308.62i −0.196890 + 0.118465i
\(497\) 848.461 + 3055.88i 0.0765768 + 0.275805i
\(498\) 3524.30 12693.4i 0.317124 1.14218i
\(499\) −10837.4 6520.63i −0.972239 0.584977i −0.0615655 0.998103i \(-0.519609\pi\)
−0.910674 + 0.413126i \(0.864437\pi\)
\(500\) 9451.24 13939.5i 0.845344 1.24679i
\(501\) −7001.70 + 761.481i −0.624377 + 0.0679051i
\(502\) 23151.4 2517.87i 2.05836 0.223861i
\(503\) −1257.29 + 1854.37i −0.111451 + 0.164378i −0.879324 0.476224i \(-0.842005\pi\)
0.767873 + 0.640603i \(0.221315\pi\)
\(504\) 3607.65 + 2170.65i 0.318844 + 0.191842i
\(505\) 1520.87 5477.66i 0.134015 0.482679i
\(506\) −111.157 400.351i −0.00976588 0.0351735i
\(507\) 175.157 105.388i 0.0153432 0.00923167i
\(508\) −577.358 + 10648.7i −0.0504254 + 0.930042i
\(509\) 8764.04 2952.95i 0.763182 0.257146i 0.0893196 0.996003i \(-0.471531\pi\)
0.673862 + 0.738857i \(0.264634\pi\)
\(510\) −7191.12 13563.9i −0.624368 1.17768i
\(511\) 17612.1 + 20734.6i 1.52469 + 1.79500i
\(512\) 3236.38 + 4773.30i 0.279354 + 0.412016i
\(513\) 108.891 + 2008.38i 0.00937167 + 0.172850i
\(514\) 11921.8 + 29921.5i 1.02305 + 2.56767i
\(515\) 15399.8 + 7124.69i 1.31766 + 0.609615i
\(516\) 10441.6 2298.36i 0.890821 0.196085i
\(517\) −29.4167 + 55.4858i −0.00250241 + 0.00472004i
\(518\) −652.936 + 3982.73i −0.0553829 + 0.337821i
\(519\) 8150.72 6196.02i 0.689358 0.524036i
\(520\) 8578.10 3968.65i 0.723412 0.334686i
\(521\) 1107.63 + 1049.20i 0.0931402 + 0.0882271i 0.732853 0.680387i \(-0.238188\pi\)
−0.639713 + 0.768614i \(0.720947\pi\)
\(522\) −1784.48 10884.9i −0.149626 0.912677i
\(523\) 14008.7 + 4720.07i 1.17123 + 0.394635i 0.836654 0.547732i \(-0.184509\pi\)
0.334581 + 0.942367i \(0.391405\pi\)
\(524\) −2961.98 + 7434.00i −0.246936 + 0.619763i
\(525\) −70.4302 + 66.7151i −0.00585491 + 0.00554606i
\(526\) −15402.9 11709.0i −1.27681 0.970603i
\(527\) 15818.0 + 3481.81i 1.30748 + 0.287799i
\(528\) 38.0680 44.8171i 0.00313768 0.00369396i
\(529\) 6287.67 + 683.825i 0.516780 + 0.0562032i
\(530\) 29979.7 2.45705
\(531\) −1897.47 + 3610.45i −0.155072 + 0.295066i
\(532\) −23412.0 −1.90796
\(533\) 3946.14 + 429.168i 0.320687 + 0.0348768i
\(534\) −3061.43 + 3604.19i −0.248092 + 0.292076i
\(535\) −12482.3 2747.57i −1.00871 0.222033i
\(536\) −4129.78 3139.38i −0.332798 0.252986i
\(537\) 5984.66 5668.97i 0.480925 0.455557i
\(538\) −2178.68 + 5468.07i −0.174590 + 0.438188i
\(539\) −396.090 133.458i −0.0316527 0.0106650i
\(540\) 582.772 + 3554.75i 0.0464417 + 0.283282i
\(541\) 11596.1 + 10984.4i 0.921545 + 0.872934i 0.992211 0.124566i \(-0.0397538\pi\)
−0.0706660 + 0.997500i \(0.522512\pi\)
\(542\) −26914.3 + 12451.9i −2.13297 + 0.986817i
\(543\) −6587.91 + 5008.00i −0.520652 + 0.395789i
\(544\) 3576.63 21816.5i 0.281887 1.71944i
\(545\) −8429.50 + 15899.7i −0.662532 + 1.24967i
\(546\) −16339.6 + 3596.61i −1.28071 + 0.281906i
\(547\) 11128.9 + 5148.79i 0.869906 + 0.402461i 0.803481 0.595330i \(-0.202979\pi\)
0.0664246 + 0.997791i \(0.478841\pi\)
\(548\) 387.975 + 973.744i 0.0302436 + 0.0759056i
\(549\) 111.216 + 2051.27i 0.00864590 + 0.159464i
\(550\) −3.76422 5.55180i −0.000291830 0.000430418i
\(551\) 13218.8 + 15562.3i 1.02203 + 1.20323i
\(552\) 1917.33 + 3616.46i 0.147839 + 0.278853i
\(553\) −19452.6 + 6554.36i −1.49586 + 0.504014i
\(554\) −63.4651 + 1170.54i −0.00486710 + 0.0897684i
\(555\) −984.975 + 592.640i −0.0753331 + 0.0453264i
\(556\) 2069.87 + 7454.98i 0.157881 + 0.568636i
\(557\) −6062.98 + 21836.9i −0.461215 + 1.66115i 0.257836 + 0.966189i \(0.416991\pi\)
−0.719051 + 0.694958i \(0.755423\pi\)
\(558\) −5428.64 3266.30i −0.411851 0.247802i
\(559\) −7937.23 + 11706.5i −0.600553 + 0.885749i
\(560\) 4672.95 508.214i 0.352622 0.0383499i
\(561\) −373.019 + 40.5682i −0.0280728 + 0.00305310i
\(562\) 325.615 480.245i 0.0244399 0.0360461i
\(563\) −4737.55 2850.49i −0.354643 0.213381i 0.327072 0.944999i \(-0.393938\pi\)
−0.681715 + 0.731618i \(0.738766\pi\)
\(564\) 497.187 1790.70i 0.0371194 0.133692i
\(565\) −6642.16 23922.9i −0.494580 1.78132i
\(566\) 14879.9 8952.96i 1.10504 0.664878i
\(567\) 114.923 2119.64i 0.00851204 0.156995i
\(568\) 2047.19 689.778i 0.151229 0.0509550i
\(569\) 8523.13 + 16076.3i 0.627958 + 1.18445i 0.969616 + 0.244630i \(0.0786666\pi\)
−0.341658 + 0.939824i \(0.610989\pi\)
\(570\) −7196.76 8472.68i −0.528841 0.622600i
\(571\) 14057.6 + 20733.4i 1.03028 + 1.51955i 0.843485 + 0.537153i \(0.180500\pi\)
0.186797 + 0.982399i \(0.440189\pi\)
\(572\) −37.5670 692.882i −0.00274607 0.0506483i
\(573\) 2224.75 + 5583.70i 0.162199 + 0.407089i
\(574\) −8869.65 4103.54i −0.644969 0.298394i
\(575\) −92.1099 + 20.2749i −0.00668043 + 0.00147047i
\(576\) −3506.92 + 6614.76i −0.253684 + 0.478498i
\(577\) 3669.57 22383.4i 0.264759 1.61496i −0.434897 0.900480i \(-0.643215\pi\)
0.699656 0.714480i \(-0.253337\pi\)
\(578\) −20185.0 + 15344.2i −1.45257 + 1.10421i
\(579\) 4812.39 2226.45i 0.345416 0.159807i
\(580\) 26548.9 + 25148.4i 1.90066 + 1.80040i
\(581\) −4163.84 25398.3i −0.297324 1.81359i
\(582\) −11103.5 3741.19i −0.790813 0.266456i
\(583\) 271.208 680.682i 0.0192664 0.0483550i
\(584\) 13453.3 12743.6i 0.953256 0.902972i
\(585\) −3793.63 2883.84i −0.268115 0.203816i
\(586\) −26566.6 5847.76i −1.87279 0.412233i
\(587\) 13803.0 16250.2i 0.970549 1.14262i −0.0192016 0.999816i \(-0.506112\pi\)
0.989751 0.142804i \(-0.0456117\pi\)
\(588\) 12296.2 + 1337.30i 0.862395 + 0.0937911i
\(589\) 11728.1 0.820455
\(590\) −3727.34 22232.7i −0.260089 1.55136i
\(591\) 9011.44 0.627210
\(592\) −552.041 60.0381i −0.0383256 0.00416816i
\(593\) −9156.20 + 10779.5i −0.634064 + 0.746478i −0.981550 0.191208i \(-0.938760\pi\)
0.347486 + 0.937685i \(0.387036\pi\)
\(594\) 143.340 + 31.5514i 0.00990118 + 0.00217941i
\(595\) −23877.9 18151.5i −1.64521 1.25065i
\(596\) −12333.8 + 11683.2i −0.847670 + 0.802955i
\(597\) 712.442 1788.10i 0.0488414 0.122583i
\(598\) −15414.1 5193.63i −1.05406 0.355156i
\(599\) 1173.20 + 7156.20i 0.0800261 + 0.488137i 0.996181 + 0.0873129i \(0.0278280\pi\)
−0.916155 + 0.400824i \(0.868724\pi\)
\(600\) 47.9739 + 45.4433i 0.00326421 + 0.00309203i
\(601\) −19172.7 + 8870.24i −1.30128 + 0.602038i −0.943378 0.331720i \(-0.892371\pi\)
−0.357906 + 0.933758i \(0.616509\pi\)
\(602\) 27721.9 21073.7i 1.87685 1.42674i
\(603\) −423.132 + 2580.99i −0.0285759 + 0.174305i
\(604\) −12958.8 + 24442.8i −0.872987 + 1.64663i
\(605\) −14445.2 + 3179.62i −0.970709 + 0.213669i
\(606\) 6220.94 + 2878.11i 0.417011 + 0.192930i
\(607\) −5725.32 14369.5i −0.382840 0.960855i −0.986522 0.163630i \(-0.947680\pi\)
0.603682 0.797225i \(-0.293700\pi\)
\(608\) −866.674 15984.9i −0.0578096 1.06624i
\(609\) −12093.4 17836.5i −0.804682 1.18682i
\(610\) −7350.43 8653.60i −0.487886 0.574384i
\(611\) 1151.59 + 2172.12i 0.0762491 + 0.143821i
\(612\) 10522.4 3545.40i 0.695003 0.234174i
\(613\) 1248.21 23021.9i 0.0822428 1.51688i −0.608369 0.793654i \(-0.708176\pi\)
0.690612 0.723226i \(-0.257341\pi\)
\(614\) 22249.7 13387.2i 1.46242 0.879908i
\(615\) −744.681 2682.10i −0.0488267 0.175858i
\(616\) −152.156 + 548.015i −0.00995216 + 0.0358444i
\(617\) 10503.6 + 6319.78i 0.685344 + 0.412358i 0.815204 0.579174i \(-0.196625\pi\)
−0.129859 + 0.991532i \(0.541453\pi\)
\(618\) −11481.3 + 16933.7i −0.747324 + 1.10222i
\(619\) 13291.9 1445.58i 0.863082 0.0938658i 0.334139 0.942524i \(-0.391554\pi\)
0.528942 + 0.848658i \(0.322589\pi\)
\(620\) 20881.4 2270.99i 1.35261 0.147105i
\(621\) 1158.14 1708.13i 0.0748384 0.110378i
\(622\) −12990.0 7815.80i −0.837379 0.503834i
\(623\) −2471.67 + 8902.15i −0.158949 + 0.572484i
\(624\) −615.841 2218.06i −0.0395086 0.142297i
\(625\) 13254.9 7975.22i 0.848315 0.510414i
\(626\) 2171.32 40047.6i 0.138631 2.55691i
\(627\) −257.475 + 86.7535i −0.0163996 + 0.00552568i
\(628\) −8723.80 16454.8i −0.554327 1.04557i
\(629\) 2293.91 + 2700.60i 0.145412 + 0.171192i
\(630\) 6584.10 + 9710.82i 0.416376 + 0.614109i
\(631\) 1216.17 + 22430.9i 0.0767274 + 1.41515i 0.742924 + 0.669376i \(0.233439\pi\)
−0.666196 + 0.745777i \(0.732079\pi\)
\(632\) 5175.34 + 12989.1i 0.325734 + 0.817532i
\(633\) −2750.66 1272.59i −0.172716 0.0799067i
\(634\) 30807.7 6781.29i 1.92986 0.424794i
\(635\) −4634.01 + 8740.67i −0.289598 + 0.546241i
\(636\) −3507.92 + 21397.4i −0.218708 + 1.33406i
\(637\) −13026.0 + 9902.11i −0.810219 + 0.615912i
\(638\) 1352.28 625.632i 0.0839143 0.0388229i
\(639\) −790.723 749.013i −0.0489523 0.0463701i
\(640\) −3600.36 21961.2i −0.222370 1.35640i
\(641\) −9606.52 3236.81i −0.591942 0.199449i 0.00735804 0.999973i \(-0.497658\pi\)
−0.599300 + 0.800524i \(0.704554\pi\)
\(642\) 5704.09 14316.2i 0.350658 0.880085i
\(643\) 7045.59 6673.94i 0.432116 0.409322i −0.440481 0.897762i \(-0.645192\pi\)
0.872598 + 0.488439i \(0.162434\pi\)
\(644\) 19123.7 + 14537.5i 1.17015 + 0.889528i
\(645\) 9686.39 + 2132.14i 0.591320 + 0.130159i
\(646\) −22183.6 + 26116.6i −1.35109 + 1.59063i
\(647\) 8333.19 + 906.289i 0.506355 + 0.0550694i 0.357732 0.933824i \(-0.383550\pi\)
0.148623 + 0.988894i \(0.452516\pi\)
\(648\) −1445.92 −0.0876562
\(649\) −538.507 116.497i −0.0325705 0.00704610i
\(650\) −262.585 −0.0158453
\(651\) −12305.2 1338.27i −0.740829 0.0805701i
\(652\) −12962.1 + 15260.2i −0.778581 + 0.916616i
\(653\) −1660.36 365.474i −0.0995024 0.0219021i 0.164940 0.986304i \(-0.447257\pi\)
−0.264443 + 0.964401i \(0.585188\pi\)
\(654\) −17274.0 13131.4i −1.03282 0.785133i
\(655\) −5389.50 + 5105.20i −0.321504 + 0.304545i
\(656\) 497.705 1249.15i 0.0296221 0.0743460i
\(657\) −8853.74 2983.17i −0.525750 0.177146i
\(658\) −979.265 5973.25i −0.0580178 0.353893i
\(659\) −8756.21 8294.32i −0.517593 0.490290i 0.383726 0.923447i \(-0.374641\pi\)
−0.901318 + 0.433157i \(0.857399\pi\)
\(660\) −441.625 + 204.318i −0.0260458 + 0.0120501i
\(661\) 18412.2 13996.6i 1.08344 0.823609i 0.0982640 0.995160i \(-0.468671\pi\)
0.985175 + 0.171551i \(0.0548780\pi\)
\(662\) −7697.48 + 46952.6i −0.451920 + 2.75659i
\(663\) −6880.36 + 12977.7i −0.403033 + 0.760201i
\(664\) −17121.3 + 3768.67i −1.00065 + 0.220260i
\(665\) −19711.4 9119.46i −1.14944 0.531785i
\(666\) −513.019 1287.58i −0.0298484 0.0749140i
\(667\) −1134.25 20919.9i −0.0658444 1.21443i
\(668\) 15799.7 + 23302.7i 0.915130 + 1.34972i
\(669\) 8286.70 + 9755.85i 0.478897 + 0.563801i
\(670\) −6771.13 12771.7i −0.390435 0.736438i
\(671\) −262.973 + 88.6059i −0.0151296 + 0.00509775i
\(672\) −914.683 + 16870.3i −0.0525070 + 0.968434i
\(673\) 1958.35 1178.30i 0.112167 0.0674889i −0.458365 0.888764i \(-0.651565\pi\)
0.570532 + 0.821275i \(0.306737\pi\)
\(674\) 5166.16 + 18606.8i 0.295242 + 1.06336i
\(675\) 8.91300 32.1017i 0.000508239 0.00183051i
\(676\) −700.179 421.284i −0.0398372 0.0239693i
\(677\) −1589.27 + 2344.00i −0.0902226 + 0.133068i −0.870122 0.492837i \(-0.835960\pi\)
0.779899 + 0.625905i \(0.215270\pi\)
\(678\) 29760.4 3236.64i 1.68575 0.183337i
\(679\) −22757.1 + 2474.98i −1.28621 + 0.139884i
\(680\) −11465.3 + 16910.1i −0.646581 + 0.953635i
\(681\) 16200.3 + 9747.38i 0.911594 + 0.548488i
\(682\) 228.957 824.630i 0.0128552 0.0463002i
\(683\) 7545.66 + 27177.0i 0.422733 + 1.52255i 0.802037 + 0.597275i \(0.203750\pi\)
−0.379304 + 0.925272i \(0.623836\pi\)
\(684\) 6889.30 4145.15i 0.385115 0.231716i
\(685\) −52.6436 + 970.955i −0.00293637 + 0.0541581i
\(686\) 88.3207 29.7587i 0.00491560 0.00165626i
\(687\) 6224.74 + 11741.1i 0.345690 + 0.652040i
\(688\) 3101.76 + 3651.67i 0.171880 + 0.202353i
\(689\) −16097.2 23741.5i −0.890063 1.31274i
\(690\) 617.524 + 11389.6i 0.0340706 + 0.628396i
\(691\) −10710.0 26880.1i −0.589620 1.47984i −0.856521 0.516112i \(-0.827379\pi\)
0.266901 0.963724i \(-0.414000\pi\)
\(692\) −37144.8 17185.0i −2.04051 0.944040i
\(693\) 280.044 61.6424i 0.0153507 0.00337894i
\(694\) 5236.78 9877.61i 0.286434 0.540272i
\(695\) −1161.18 + 7082.88i −0.0633756 + 0.386574i
\(696\) −11685.6 + 8883.20i −0.636413 + 0.483788i
\(697\) −7787.15 + 3602.72i −0.423184 + 0.195786i
\(698\) 30633.8 + 29017.8i 1.66118 + 1.57355i
\(699\) 533.640 + 3255.06i 0.0288757 + 0.176134i
\(700\) 367.500 + 123.825i 0.0198431 + 0.00668593i
\(701\) 5501.06 13806.6i 0.296394 0.743892i −0.703069 0.711122i \(-0.748188\pi\)
0.999463 0.0327709i \(-0.0104332\pi\)
\(702\) 4171.35 3951.32i 0.224270 0.212440i
\(703\) 2042.58 + 1552.73i 0.109584 + 0.0833033i
\(704\) −987.710 217.411i −0.0528775 0.0116392i
\(705\) 1116.12 1314.00i 0.0596247 0.0701956i
\(706\) −3815.77 414.990i −0.203411 0.0221223i
\(707\) 13391.6 0.712369
\(708\) 16304.2 58.8714i 0.865467 0.00312503i
\(709\) 27996.0 1.48295 0.741474 0.670981i \(-0.234127\pi\)
0.741474 + 0.670981i \(0.234127\pi\)
\(710\) 5984.49 + 650.853i 0.316330 + 0.0344029i
\(711\) 4563.75 5372.86i 0.240723 0.283401i
\(712\) 6146.01 + 1352.84i 0.323499 + 0.0712075i
\(713\) −9579.93 7282.47i −0.503185 0.382512i
\(714\) 26255.4 24870.4i 1.37617 1.30357i
\(715\) 238.263 597.996i 0.0124623 0.0312780i
\(716\) −31227.5 10521.8i −1.62993 0.549186i
\(717\) 889.972 + 5428.59i 0.0463551 + 0.282754i
\(718\) −12890.1 12210.1i −0.669991 0.634649i
\(719\) −10159.4 + 4700.25i −0.526958 + 0.243797i −0.665284 0.746590i \(-0.731690\pi\)
0.138327 + 0.990387i \(0.455828\pi\)
\(720\) −1285.10 + 976.908i −0.0665179 + 0.0505656i
\(721\) −6466.58 + 39444.4i −0.334020 + 2.03743i
\(722\) 2742.98 5173.81i 0.141389 0.266689i
\(723\) 8400.68 1849.13i 0.432123 0.0951174i
\(724\) 30022.7 + 13890.0i 1.54114 + 0.713006i
\(725\) −125.188 314.197i −0.00641290 0.0160952i
\(726\) −965.513 17807.8i −0.0493575 0.910346i
\(727\) 4132.28 + 6094.66i 0.210809 + 0.310919i 0.918363 0.395740i \(-0.129512\pi\)
−0.707554 + 0.706659i \(0.750201\pi\)
\(728\) 14414.0 + 16969.5i 0.733817 + 0.863916i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) 48934.7 16488.0i 2.48103 0.835958i
\(731\) 1655.16 30527.7i 0.0837462 1.54461i
\(732\) 7036.40 4233.66i 0.355291 0.213771i
\(733\) 8288.68 + 29853.1i 0.417666 + 1.50430i 0.811079 + 0.584936i \(0.198881\pi\)
−0.393413 + 0.919362i \(0.628706\pi\)
\(734\) −9630.64 + 34686.4i −0.484296 + 1.74428i
\(735\) 9831.74 + 5915.56i 0.493400 + 0.296869i
\(736\) −9217.74 + 13595.1i −0.461644 + 0.680875i
\(737\) −351.233 + 38.1989i −0.0175547 + 0.00190919i
\(738\) 3336.56 362.873i 0.166424 0.0180996i
\(739\) 2457.12 3623.98i 0.122309 0.180393i −0.761605 0.648041i \(-0.775588\pi\)
0.883914 + 0.467649i \(0.154899\pi\)
\(740\) 3937.39 + 2369.05i 0.195596 + 0.117686i
\(741\) −2845.50 + 10248.6i −0.141069 + 0.508084i
\(742\) 18893.4 + 68047.8i 0.934768 + 3.36673i
\(743\) 16733.1 10068.0i 0.826217 0.497118i −0.0385708 0.999256i \(-0.512280\pi\)
0.864788 + 0.502138i \(0.167453\pi\)
\(744\) −456.456 + 8418.83i −0.0224926 + 0.414851i
\(745\) −14935.1 + 5032.22i −0.734470 + 0.247472i
\(746\) −16670.6 31444.0i −0.818167 1.54323i
\(747\) 5722.11 + 6736.58i 0.280269 + 0.329958i
\(748\) 841.733 + 1241.46i 0.0411455 + 0.0606850i
\(749\) −1630.02 30063.9i −0.0795188 1.46664i
\(750\) 6972.59 + 17499.9i 0.339470 + 0.852007i
\(751\) −29991.1 13875.3i −1.45724 0.674192i −0.478275 0.878210i \(-0.658738\pi\)
−0.978967 + 0.204018i \(0.934600\pi\)
\(752\) 813.355 179.033i 0.0394415 0.00868173i
\(753\) −7318.89 + 13804.9i −0.354203 + 0.668098i
\(754\) 9436.63 57560.9i 0.455785 2.78017i
\(755\) −20431.4 + 15531.6i −0.984869 + 0.748678i
\(756\) −7701.30 + 3563.00i −0.370494 + 0.171409i
\(757\) −5771.54 5467.10i −0.277107 0.262490i 0.536506 0.843897i \(-0.319744\pi\)
−0.813613 + 0.581407i \(0.802503\pi\)
\(758\) 3395.78 + 20713.4i 0.162718 + 0.992537i
\(759\) 264.184 + 89.0138i 0.0126341 + 0.00425691i
\(760\) −5475.76 + 13743.1i −0.261351 + 0.655941i
\(761\) 10709.5 10144.6i 0.510145 0.483235i −0.388784 0.921329i \(-0.627105\pi\)
0.898929 + 0.438093i \(0.144346\pi\)
\(762\) −9496.17 7218.80i −0.451456 0.343188i
\(763\) −41401.5 9113.16i −1.96440 0.432396i
\(764\) 15554.8 18312.5i 0.736586 0.867176i
\(765\) 10240.2 + 1113.69i 0.483967 + 0.0526345i
\(766\) 11576.9 0.546071
\(767\) −15605.2 + 14889.3i −0.734642 + 0.700940i
\(768\) 6867.91 0.322688
\(769\) 29808.0 + 3241.81i 1.39779 + 0.152019i 0.775788 0.630994i \(-0.217353\pi\)
0.622005 + 0.783013i \(0.286318\pi\)
\(770\) −1026.02 + 1207.92i −0.0480196 + 0.0565331i
\(771\) −21105.4