Properties

Label 76.5.l.a.23.1
Level $76$
Weight $5$
Character 76.23
Analytic conductor $7.856$
Analytic rank $0$
Dimension $228$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 76.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.85611719437\)
Analytic rank: \(0\)
Dimension: \(228\)
Relative dimension: \(38\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 23.1
Character \(\chi\) \(=\) 76.23
Dual form 76.5.l.a.43.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.99987 - 0.0325330i) q^{2} +(-1.55169 + 0.273604i) q^{3} +(15.9979 + 0.260256i) q^{4} +(3.23088 - 2.71103i) q^{5} +(6.21545 - 1.04390i) q^{6} +(4.97171 + 2.87042i) q^{7} +(-63.9809 - 1.56145i) q^{8} +(-73.7822 + 26.8545i) q^{9} +O(q^{10})\) \(q+(-3.99987 - 0.0325330i) q^{2} +(-1.55169 + 0.273604i) q^{3} +(15.9979 + 0.260256i) q^{4} +(3.23088 - 2.71103i) q^{5} +(6.21545 - 1.04390i) q^{6} +(4.97171 + 2.87042i) q^{7} +(-63.9809 - 1.56145i) q^{8} +(-73.7822 + 26.8545i) q^{9} +(-13.0113 + 10.7387i) q^{10} +(133.376 - 77.0048i) q^{11} +(-24.8949 + 3.97326i) q^{12} +(-4.87717 + 27.6598i) q^{13} +(-19.7928 - 11.6430i) q^{14} +(-4.27157 + 5.09066i) q^{15} +(255.865 + 8.32708i) q^{16} +(485.628 + 176.754i) q^{17} +(295.993 - 105.014i) q^{18} +(250.586 - 259.861i) q^{19} +(52.3928 - 42.5299i) q^{20} +(-8.49990 - 3.09371i) q^{21} +(-535.993 + 303.670i) q^{22} +(509.778 - 607.530i) q^{23} +(99.7057 - 15.0826i) q^{24} +(-105.441 + 597.987i) q^{25} +(20.4079 - 110.477i) q^{26} +(217.666 - 125.670i) q^{27} +(78.7898 + 47.2145i) q^{28} +(722.448 - 262.950i) q^{29} +(17.2513 - 20.2230i) q^{30} +(881.441 + 508.900i) q^{31} +(-1023.15 - 41.6313i) q^{32} +(-185.889 + 155.980i) q^{33} +(-1936.70 - 722.792i) q^{34} +(23.8448 - 4.20448i) q^{35} +(-1187.35 + 410.413i) q^{36} -1275.89 q^{37} +(-1010.77 + 1031.26i) q^{38} -44.2538i q^{39} +(-210.948 + 168.409i) q^{40} +(-91.5083 - 518.969i) q^{41} +(33.8978 + 12.6510i) q^{42} +(-658.218 - 784.433i) q^{43} +(2153.78 - 1197.20i) q^{44} +(-165.578 + 286.790i) q^{45} +(-2058.81 + 2413.45i) q^{46} +(855.180 + 2349.59i) q^{47} +(-399.300 + 57.0846i) q^{48} +(-1184.02 - 2050.79i) q^{49} +(441.205 - 2388.44i) q^{50} +(-801.904 - 141.397i) q^{51} +(-85.2230 + 441.229i) q^{52} +(1569.71 + 1317.15i) q^{53} +(-874.725 + 495.581i) q^{54} +(222.160 - 610.381i) q^{55} +(-313.613 - 191.415i) q^{56} +(-317.733 + 471.784i) q^{57} +(-2898.25 + 1028.26i) q^{58} +(938.411 - 2578.26i) q^{59} +(-69.6609 + 80.3280i) q^{60} +(719.569 + 603.790i) q^{61} +(-3509.09 - 2064.21i) q^{62} +(-443.908 - 78.2729i) q^{63} +(4091.12 + 199.806i) q^{64} +(59.2290 + 102.588i) q^{65} +(748.608 - 617.851i) q^{66} +(2408.51 + 6617.32i) q^{67} +(7723.02 + 2954.08i) q^{68} +(-624.793 + 1082.17i) q^{69} +(-95.5128 + 16.0416i) q^{70} +(-5808.88 - 6922.75i) q^{71} +(4762.59 - 1602.97i) q^{72} +(-76.9586 - 436.454i) q^{73} +(5103.39 + 41.5086i) q^{74} -956.738i q^{75} +(4076.48 - 4092.00i) q^{76} +884.144 q^{77} +(-1.43971 + 177.009i) q^{78} +(-5312.80 + 936.791i) q^{79} +(849.243 - 666.753i) q^{80} +(4568.61 - 3833.52i) q^{81} +(349.138 + 2078.79i) q^{82} +(5680.57 + 3279.68i) q^{83} +(-135.175 - 51.7050i) q^{84} +(2048.19 - 745.481i) q^{85} +(2607.26 + 3159.04i) q^{86} +(-1049.07 + 605.681i) q^{87} +(-8653.78 + 4718.58i) q^{88} +(-1168.66 + 6627.77i) q^{89} +(671.621 - 1141.73i) q^{90} +(-103.643 + 123.517i) q^{91} +(8313.48 - 9586.52i) q^{92} +(-1506.96 - 548.488i) q^{93} +(-3344.17 - 9425.87i) q^{94} +(105.124 - 1518.93i) q^{95} +(1599.00 - 215.341i) q^{96} +(-8554.45 - 3113.57i) q^{97} +(4669.21 + 8241.39i) q^{98} +(-7772.87 + 9263.35i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 228q - 6q^{2} - 48q^{4} - 12q^{5} - 60q^{6} - 3q^{8} - 180q^{9} + O(q^{10}) \) \( 228q - 6q^{2} - 48q^{4} - 12q^{5} - 60q^{6} - 3q^{8} - 180q^{9} - 453q^{10} - 3q^{12} + 516q^{13} + 81q^{14} - 720q^{16} - 12q^{17} - 12q^{18} - 1182q^{20} - 930q^{21} - 54q^{22} - 2664q^{24} - 12q^{25} - 3099q^{26} - 4824q^{28} - 12q^{29} + 5814q^{30} + 7419q^{32} + 1542q^{33} + 6912q^{34} + 8547q^{36} - 24q^{37} - 1536q^{38} - 6942q^{40} + 6396q^{41} - 18855q^{42} - 1143q^{44} - 6q^{45} - 1488q^{46} + 6093q^{48} + 26748q^{49} + 8070q^{50} - 12591q^{52} + 2436q^{53} - 7365q^{54} - 14418q^{56} - 12q^{57} + 8268q^{58} + 34632q^{60} - 31068q^{61} + 27396q^{62} + 4575q^{64} + 3594q^{65} - 29556q^{66} - 22782q^{68} + 29370q^{69} - 71541q^{70} - 30174q^{72} - 6348q^{73} - 417q^{74} + 43194q^{76} - 50436q^{77} + 45537q^{78} + 30081q^{80} - 41994q^{81} + 72219q^{82} + 13779q^{84} - 59244q^{85} + 19200q^{86} - 22395q^{88} + 1860q^{89} + 45594q^{90} - 64140q^{92} + 59118q^{93} - 55590q^{94} - 98646q^{96} - 5556q^{97} - 52215q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.99987 0.0325330i −0.999967 0.00813326i
\(3\) −1.55169 + 0.273604i −0.172410 + 0.0304005i −0.259186 0.965827i \(-0.583454\pi\)
0.0867768 + 0.996228i \(0.472343\pi\)
\(4\) 15.9979 + 0.260256i 0.999868 + 0.0162660i
\(5\) 3.23088 2.71103i 0.129235 0.108441i −0.575879 0.817535i \(-0.695340\pi\)
0.705114 + 0.709094i \(0.250896\pi\)
\(6\) 6.21545 1.04390i 0.172651 0.0289972i
\(7\) 4.97171 + 2.87042i 0.101463 + 0.0585800i 0.549873 0.835248i \(-0.314676\pi\)
−0.448410 + 0.893828i \(0.648009\pi\)
\(8\) −63.9809 1.56145i −0.999702 0.0243976i
\(9\) −73.7822 + 26.8545i −0.910892 + 0.331537i
\(10\) −13.0113 + 10.7387i −0.130113 + 0.107387i
\(11\) 133.376 77.0048i 1.10228 0.636404i 0.165464 0.986216i \(-0.447088\pi\)
0.936820 + 0.349812i \(0.113755\pi\)
\(12\) −24.8949 + 3.97326i −0.172881 + 0.0275921i
\(13\) −4.87717 + 27.6598i −0.0288590 + 0.163667i −0.995831 0.0912139i \(-0.970925\pi\)
0.966972 + 0.254881i \(0.0820364\pi\)
\(14\) −19.7928 11.6430i −0.100984 0.0594033i
\(15\) −4.27157 + 5.09066i −0.0189847 + 0.0226251i
\(16\) 255.865 + 8.32708i 0.999471 + 0.0325276i
\(17\) 485.628 + 176.754i 1.68037 + 0.611606i 0.993361 0.115039i \(-0.0366993\pi\)
0.687013 + 0.726645i \(0.258922\pi\)
\(18\) 295.993 105.014i 0.913558 0.324118i
\(19\) 250.586 259.861i 0.694145 0.719836i
\(20\) 52.3928 42.5299i 0.130982 0.106325i
\(21\) −8.49990 3.09371i −0.0192742 0.00701522i
\(22\) −535.993 + 303.670i −1.10742 + 0.627417i
\(23\) 509.778 607.530i 0.963663 1.14845i −0.0252089 0.999682i \(-0.508025\pi\)
0.988872 0.148767i \(-0.0475305\pi\)
\(24\) 99.7057 15.0826i 0.173100 0.0261851i
\(25\) −105.441 + 597.987i −0.168706 + 0.956779i
\(26\) 20.4079 110.477i 0.0301892 0.163427i
\(27\) 217.666 125.670i 0.298582 0.172387i
\(28\) 78.7898 + 47.2145i 0.100497 + 0.0602226i
\(29\) 722.448 262.950i 0.859035 0.312663i 0.125316 0.992117i \(-0.460005\pi\)
0.733718 + 0.679454i \(0.237783\pi\)
\(30\) 17.2513 20.2230i 0.0191681 0.0224700i
\(31\) 881.441 + 508.900i 0.917212 + 0.529553i 0.882745 0.469853i \(-0.155693\pi\)
0.0344677 + 0.999406i \(0.489026\pi\)
\(32\) −1023.15 41.6313i −0.999173 0.0406555i
\(33\) −185.889 + 155.980i −0.170697 + 0.143232i
\(34\) −1936.70 722.792i −1.67534 0.625253i
\(35\) 23.8448 4.20448i 0.0194651 0.00343223i
\(36\) −1187.35 + 410.413i −0.916164 + 0.316677i
\(37\) −1275.89 −0.931987 −0.465993 0.884788i \(-0.654303\pi\)
−0.465993 + 0.884788i \(0.654303\pi\)
\(38\) −1010.77 + 1031.26i −0.699976 + 0.714166i
\(39\) 44.2538i 0.0290952i
\(40\) −210.948 + 168.409i −0.131842 + 0.105256i
\(41\) −91.5083 518.969i −0.0544368 0.308727i 0.945416 0.325865i \(-0.105656\pi\)
−0.999853 + 0.0171384i \(0.994544\pi\)
\(42\) 33.8978 + 12.6510i 0.0192165 + 0.00717175i
\(43\) −658.218 784.433i −0.355986 0.424247i 0.558097 0.829776i \(-0.311532\pi\)
−0.914082 + 0.405529i \(0.867087\pi\)
\(44\) 2153.78 1197.20i 1.11249 0.618390i
\(45\) −165.578 + 286.790i −0.0817670 + 0.141625i
\(46\) −2058.81 + 2413.45i −0.972972 + 1.14057i
\(47\) 855.180 + 2349.59i 0.387135 + 1.06364i 0.968285 + 0.249848i \(0.0803805\pi\)
−0.581151 + 0.813796i \(0.697397\pi\)
\(48\) −399.300 + 57.0846i −0.173307 + 0.0247763i
\(49\) −1184.02 2050.79i −0.493137 0.854138i
\(50\) 441.205 2388.44i 0.176482 0.955375i
\(51\) −801.904 141.397i −0.308306 0.0543627i
\(52\) −85.2230 + 441.229i −0.0315174 + 0.163176i
\(53\) 1569.71 + 1317.15i 0.558816 + 0.468902i 0.877913 0.478820i \(-0.158935\pi\)
−0.319098 + 0.947722i \(0.603380\pi\)
\(54\) −874.725 + 495.581i −0.299974 + 0.169952i
\(55\) 222.160 610.381i 0.0734415 0.201779i
\(56\) −313.613 191.415i −0.100004 0.0610380i
\(57\) −317.733 + 471.784i −0.0977939 + 0.145209i
\(58\) −2898.25 + 1028.26i −0.861549 + 0.305666i
\(59\) 938.411 2578.26i 0.269581 0.740667i −0.728850 0.684673i \(-0.759945\pi\)
0.998431 0.0559941i \(-0.0178328\pi\)
\(60\) −69.6609 + 80.3280i −0.0193503 + 0.0223133i
\(61\) 719.569 + 603.790i 0.193380 + 0.162265i 0.734337 0.678785i \(-0.237493\pi\)
−0.540957 + 0.841051i \(0.681938\pi\)
\(62\) −3509.09 2064.21i −0.912875 0.536995i
\(63\) −443.908 78.2729i −0.111844 0.0197211i
\(64\) 4091.12 + 199.806i 0.998810 + 0.0487807i
\(65\) 59.2290 + 102.588i 0.0140187 + 0.0242811i
\(66\) 748.608 617.851i 0.171857 0.141839i
\(67\) 2408.51 + 6617.32i 0.536535 + 1.47412i 0.851162 + 0.524903i \(0.175898\pi\)
−0.314627 + 0.949215i \(0.601879\pi\)
\(68\) 7723.02 + 2954.08i 1.67020 + 0.638858i
\(69\) −624.793 + 1082.17i −0.131232 + 0.227300i
\(70\) −95.5128 + 16.0416i −0.0194924 + 0.00327380i
\(71\) −5808.88 6922.75i −1.15233 1.37329i −0.915786 0.401668i \(-0.868431\pi\)
−0.236541 0.971622i \(-0.576014\pi\)
\(72\) 4762.59 1602.97i 0.918709 0.309215i
\(73\) −76.9586 436.454i −0.0144415 0.0819016i 0.976735 0.214449i \(-0.0687955\pi\)
−0.991177 + 0.132547i \(0.957684\pi\)
\(74\) 5103.39 + 41.5086i 0.931956 + 0.00758009i
\(75\) 956.738i 0.170087i
\(76\) 4076.48 4092.00i 0.705762 0.708449i
\(77\) 884.144 0.149122
\(78\) −1.43971 + 177.009i −0.000236639 + 0.0290942i
\(79\) −5312.80 + 936.791i −0.851275 + 0.150103i −0.582229 0.813025i \(-0.697819\pi\)
−0.269046 + 0.963127i \(0.586708\pi\)
\(80\) 849.243 666.753i 0.132694 0.104180i
\(81\) 4568.61 3833.52i 0.696328 0.584288i
\(82\) 349.138 + 2078.79i 0.0519241 + 0.309159i
\(83\) 5680.57 + 3279.68i 0.824585 + 0.476074i 0.851995 0.523550i \(-0.175393\pi\)
−0.0274101 + 0.999624i \(0.508726\pi\)
\(84\) −135.175 51.7050i −0.0191575 0.00732780i
\(85\) 2048.19 745.481i 0.283487 0.103181i
\(86\) 2607.26 + 3159.04i 0.352523 + 0.427129i
\(87\) −1049.07 + 605.681i −0.138601 + 0.0800212i
\(88\) −8653.78 + 4718.58i −1.11748 + 0.609321i
\(89\) −1168.66 + 6627.77i −0.147539 + 0.836734i 0.817755 + 0.575567i \(0.195219\pi\)
−0.965294 + 0.261167i \(0.915893\pi\)
\(90\) 671.621 1141.73i 0.0829161 0.140955i
\(91\) −103.643 + 123.517i −0.0125158 + 0.0149157i
\(92\) 8313.48 9586.52i 0.982217 1.13262i
\(93\) −1506.96 548.488i −0.174235 0.0634164i
\(94\) −3344.17 9425.87i −0.378471 1.06676i
\(95\) 105.124 1518.93i 0.0116481 0.168302i
\(96\) 1599.00 215.341i 0.173503 0.0233659i
\(97\) −8554.45 3113.57i −0.909178 0.330914i −0.155253 0.987875i \(-0.549619\pi\)
−0.753924 + 0.656961i \(0.771842\pi\)
\(98\) 4669.21 + 8241.39i 0.486174 + 0.858121i
\(99\) −7772.87 + 9263.35i −0.793069 + 0.945143i
\(100\) −1842.47 + 9539.08i −0.184247 + 0.953908i
\(101\) 1952.07 11070.8i 0.191361 1.08526i −0.726145 0.687541i \(-0.758690\pi\)
0.917506 0.397721i \(-0.130199\pi\)
\(102\) 3202.91 + 591.659i 0.307854 + 0.0568684i
\(103\) −7222.23 + 4169.75i −0.680764 + 0.393039i −0.800143 0.599809i \(-0.795243\pi\)
0.119379 + 0.992849i \(0.461910\pi\)
\(104\) 355.235 1762.08i 0.0328435 0.162915i
\(105\) −35.8493 + 13.0481i −0.00325164 + 0.00118350i
\(106\) −6235.79 5319.48i −0.554983 0.473431i
\(107\) −7498.03 4328.99i −0.654907 0.378111i 0.135427 0.990787i \(-0.456759\pi\)
−0.790334 + 0.612677i \(0.790093\pi\)
\(108\) 3514.91 1953.80i 0.301347 0.167507i
\(109\) −9159.53 + 7685.76i −0.770939 + 0.646895i −0.940949 0.338548i \(-0.890064\pi\)
0.170010 + 0.985442i \(0.445620\pi\)
\(110\) −908.470 + 2434.21i −0.0750801 + 0.201175i
\(111\) 1979.78 349.089i 0.160684 0.0283328i
\(112\) 1248.18 + 775.838i 0.0995043 + 0.0618493i
\(113\) 1309.87 0.102582 0.0512911 0.998684i \(-0.483666\pi\)
0.0512911 + 0.998684i \(0.483666\pi\)
\(114\) 1286.24 1876.74i 0.0989717 0.144409i
\(115\) 3344.88i 0.252921i
\(116\) 11626.1 4018.62i 0.864007 0.298649i
\(117\) −382.942 2171.77i −0.0279745 0.158651i
\(118\) −3837.40 + 10282.2i −0.275596 + 0.738450i
\(119\) 1907.04 + 2272.73i 0.134669 + 0.160492i
\(120\) 281.248 319.035i 0.0195311 0.0221552i
\(121\) 4538.99 7861.76i 0.310019 0.536969i
\(122\) −2858.54 2438.49i −0.192054 0.163833i
\(123\) 283.985 + 780.241i 0.0187709 + 0.0515726i
\(124\) 13968.7 + 8370.73i 0.908477 + 0.544402i
\(125\) 2598.50 + 4500.73i 0.166304 + 0.288047i
\(126\) 1773.03 + 327.523i 0.111680 + 0.0206301i
\(127\) −4656.05 820.988i −0.288676 0.0509013i 0.0274351 0.999624i \(-0.491266\pi\)
−0.316111 + 0.948722i \(0.602377\pi\)
\(128\) −16357.5 932.293i −0.998380 0.0569027i
\(129\) 1235.97 + 1037.10i 0.0742727 + 0.0623222i
\(130\) −233.571 412.264i −0.0138207 0.0243943i
\(131\) −1431.14 + 3932.01i −0.0833946 + 0.229125i −0.974380 0.224906i \(-0.927792\pi\)
0.890986 + 0.454031i \(0.150015\pi\)
\(132\) −3014.43 + 2446.97i −0.173005 + 0.140437i
\(133\) 1991.75 572.665i 0.112598 0.0323741i
\(134\) −9418.43 26546.7i −0.524528 1.47843i
\(135\) 362.560 996.125i 0.0198935 0.0546570i
\(136\) −30795.0 12067.2i −1.66495 0.652421i
\(137\) 13624.7 + 11432.5i 0.725914 + 0.609114i 0.929014 0.370044i \(-0.120657\pi\)
−0.203100 + 0.979158i \(0.565102\pi\)
\(138\) 2534.30 4308.23i 0.133076 0.226225i
\(139\) 23495.8 + 4142.95i 1.21608 + 0.214427i 0.744636 0.667471i \(-0.232623\pi\)
0.471441 + 0.881898i \(0.343734\pi\)
\(140\) 382.561 61.0571i 0.0195184 0.00311516i
\(141\) −1969.83 3411.85i −0.0990811 0.171613i
\(142\) 23009.5 + 27879.1i 1.14112 + 1.38262i
\(143\) 1479.44 + 4064.72i 0.0723477 + 0.198774i
\(144\) −19101.9 + 6256.73i −0.921194 + 0.301733i
\(145\) 1621.28 2808.14i 0.0771120 0.133562i
\(146\) 293.625 + 1748.26i 0.0137749 + 0.0820163i
\(147\) 2398.34 + 2858.22i 0.110988 + 0.132270i
\(148\) −20411.5 332.057i −0.931863 0.0151597i
\(149\) −2226.67 12628.1i −0.100296 0.568806i −0.992995 0.118154i \(-0.962303\pi\)
0.892700 0.450652i \(-0.148809\pi\)
\(150\) −31.1256 + 3826.82i −0.00138336 + 0.170081i
\(151\) 22662.1i 0.993906i −0.867777 0.496953i \(-0.834452\pi\)
0.867777 0.496953i \(-0.165548\pi\)
\(152\) −16438.5 + 16234.9i −0.711500 + 0.702686i
\(153\) −40577.4 −1.73341
\(154\) −3536.46 28.7639i −0.149117 0.00121285i
\(155\) 4227.48 745.418i 0.175962 0.0310268i
\(156\) 11.5173 707.966i 0.000473261 0.0290913i
\(157\) −16700.6 + 14013.4i −0.677536 + 0.568520i −0.915285 0.402807i \(-0.868035\pi\)
0.237750 + 0.971326i \(0.423590\pi\)
\(158\) 21281.0 3574.20i 0.852467 0.143174i
\(159\) −2796.08 1614.32i −0.110600 0.0638550i
\(160\) −3418.55 + 2639.30i −0.133537 + 0.103097i
\(161\) 4278.33 1557.19i 0.165053 0.0600743i
\(162\) −18398.5 + 15184.9i −0.701057 + 0.578606i
\(163\) 22117.5 12769.6i 0.832456 0.480618i −0.0222371 0.999753i \(-0.507079\pi\)
0.854693 + 0.519134i \(0.173746\pi\)
\(164\) −1328.87 8326.23i −0.0494079 0.309571i
\(165\) −177.721 + 1007.90i −0.00652785 + 0.0370213i
\(166\) −22614.8 13303.1i −0.820686 0.482765i
\(167\) 4082.77 4865.66i 0.146394 0.174465i −0.687865 0.725839i \(-0.741452\pi\)
0.834258 + 0.551374i \(0.185896\pi\)
\(168\) 539.001 + 211.211i 0.0190973 + 0.00748337i
\(169\) 26097.3 + 9498.63i 0.913738 + 0.332574i
\(170\) −8216.75 + 2915.19i −0.284317 + 0.100872i
\(171\) −11510.4 + 25902.5i −0.393638 + 0.885827i
\(172\) −10325.9 12720.6i −0.349038 0.429982i
\(173\) 30183.9 + 10986.0i 1.00852 + 0.367070i 0.792863 0.609399i \(-0.208589\pi\)
0.215654 + 0.976470i \(0.430812\pi\)
\(174\) 4215.85 2388.51i 0.139247 0.0788913i
\(175\) −2240.70 + 2670.36i −0.0731656 + 0.0871953i
\(176\) 34767.5 18592.2i 1.12240 0.600212i
\(177\) −750.697 + 4257.41i −0.0239617 + 0.135894i
\(178\) 4890.09 26472.2i 0.154339 0.835507i
\(179\) 27520.8 15889.1i 0.858924 0.495900i −0.00472755 0.999989i \(-0.501505\pi\)
0.863652 + 0.504089i \(0.168171\pi\)
\(180\) −2723.54 + 4544.94i −0.0840598 + 0.140276i
\(181\) 37449.1 13630.4i 1.14310 0.416055i 0.300069 0.953918i \(-0.402990\pi\)
0.843032 + 0.537863i \(0.180768\pi\)
\(182\) 418.577 490.680i 0.0126367 0.0148134i
\(183\) −1281.74 740.016i −0.0382736 0.0220973i
\(184\) −33564.7 + 38074.3i −0.991396 + 1.12460i
\(185\) −4122.25 + 3458.98i −0.120446 + 0.101066i
\(186\) 6009.79 + 2242.91i 0.173713 + 0.0648314i
\(187\) 78382.2 13820.9i 2.24148 0.395233i
\(188\) 13069.6 + 37811.0i 0.369782 + 1.06980i
\(189\) 1442.90 0.0403936
\(190\) −469.897 + 6072.08i −0.0130165 + 0.168202i
\(191\) 69700.9i 1.91061i −0.295624 0.955304i \(-0.595528\pi\)
0.295624 0.955304i \(-0.404472\pi\)
\(192\) −6402.81 + 809.313i −0.173687 + 0.0219540i
\(193\) 6188.82 + 35098.6i 0.166147 + 0.942268i 0.947874 + 0.318647i \(0.103228\pi\)
−0.781726 + 0.623622i \(0.785661\pi\)
\(194\) 34115.4 + 12732.2i 0.906456 + 0.338297i
\(195\) −119.973 142.979i −0.00315512 0.00376012i
\(196\) −18408.1 33116.4i −0.479178 0.862046i
\(197\) −25000.2 + 43301.6i −0.644186 + 1.11576i 0.340303 + 0.940316i \(0.389470\pi\)
−0.984489 + 0.175446i \(0.943863\pi\)
\(198\) 31391.8 36799.3i 0.800730 0.938661i
\(199\) −6138.95 16866.6i −0.155020 0.425914i 0.837734 0.546079i \(-0.183880\pi\)
−0.992754 + 0.120165i \(0.961658\pi\)
\(200\) 7679.95 38095.1i 0.191999 0.952378i
\(201\) −5547.78 9609.03i −0.137318 0.237841i
\(202\) −8168.21 + 44218.1i −0.200182 + 1.08367i
\(203\) 4346.58 + 766.419i 0.105476 + 0.0185983i
\(204\) −12792.0 2470.76i −0.307381 0.0593704i
\(205\) −1702.59 1428.65i −0.0405139 0.0339952i
\(206\) 29023.6 16443.5i 0.683938 0.387490i
\(207\) −21297.6 + 58514.7i −0.497039 + 1.36560i
\(208\) −1478.22 + 7036.55i −0.0341674 + 0.162642i
\(209\) 13411.7 53955.6i 0.307038 1.23522i
\(210\) 143.817 51.0243i 0.00326116 0.00115701i
\(211\) −11464.2 + 31497.5i −0.257500 + 0.707475i 0.741820 + 0.670599i \(0.233963\pi\)
−0.999320 + 0.0368761i \(0.988259\pi\)
\(212\) 24769.3 + 21480.1i 0.551114 + 0.477930i
\(213\) 10907.7 + 9152.61i 0.240421 + 0.201737i
\(214\) 29850.3 + 17559.3i 0.651810 + 0.383425i
\(215\) −4253.25 749.962i −0.0920118 0.0162242i
\(216\) −14122.7 + 7700.60i −0.302699 + 0.165051i
\(217\) 2921.51 + 5060.21i 0.0620424 + 0.107461i
\(218\) 36886.9 30444.0i 0.776175 0.640603i
\(219\) 238.831 + 656.183i 0.00497970 + 0.0136816i
\(220\) 3712.95 9706.98i 0.0767139 0.200557i
\(221\) −7257.47 + 12570.3i −0.148594 + 0.257372i
\(222\) −7930.22 + 1331.90i −0.160909 + 0.0270250i
\(223\) −61746.1 73586.1i −1.24165 1.47974i −0.819356 0.573284i \(-0.805669\pi\)
−0.422295 0.906458i \(-0.638775\pi\)
\(224\) −4967.32 3143.86i −0.0989980 0.0626566i
\(225\) −8278.97 46952.4i −0.163535 0.927454i
\(226\) −5239.31 42.6141i −0.102579 0.000834327i
\(227\) 51545.0i 1.00031i 0.865935 + 0.500156i \(0.166724\pi\)
−0.865935 + 0.500156i \(0.833276\pi\)
\(228\) −5205.83 + 7464.85i −0.100143 + 0.143599i
\(229\) −41174.4 −0.785157 −0.392579 0.919718i \(-0.628417\pi\)
−0.392579 + 0.919718i \(0.628417\pi\)
\(230\) −108.819 + 13379.1i −0.00205707 + 0.252913i
\(231\) −1371.92 + 241.906i −0.0257101 + 0.00453338i
\(232\) −46633.5 + 15695.7i −0.866407 + 0.291612i
\(233\) 13306.9 11165.8i 0.245112 0.205673i −0.511952 0.859014i \(-0.671077\pi\)
0.757064 + 0.653341i \(0.226633\pi\)
\(234\) 1461.06 + 8699.27i 0.0266832 + 0.158873i
\(235\) 9132.79 + 5272.82i 0.165374 + 0.0954789i
\(236\) 15683.6 41002.5i 0.281593 0.736184i
\(237\) 7987.50 2907.21i 0.142205 0.0517583i
\(238\) −7553.99 9152.65i −0.133359 0.161582i
\(239\) −51535.6 + 29754.1i −0.902217 + 0.520895i −0.877919 0.478809i \(-0.841069\pi\)
−0.0242984 + 0.999705i \(0.507735\pi\)
\(240\) −1135.33 + 1266.95i −0.0197106 + 0.0219956i
\(241\) −5007.68 + 28400.0i −0.0862190 + 0.488972i 0.910868 + 0.412698i \(0.135414\pi\)
−0.997087 + 0.0762741i \(0.975698\pi\)
\(242\) −18411.1 + 31298.3i −0.314376 + 0.534429i
\(243\) −19126.4 + 22793.9i −0.323907 + 0.386017i
\(244\) 11354.4 + 9846.63i 0.190715 + 0.165389i
\(245\) −9385.17 3415.92i −0.156354 0.0569084i
\(246\) −1110.52 3130.10i −0.0183508 0.0517235i
\(247\) 5965.54 + 8198.54i 0.0977813 + 0.134383i
\(248\) −55600.8 33936.2i −0.904020 0.551773i
\(249\) −9711.80 3534.80i −0.156639 0.0570121i
\(250\) −10247.2 18086.9i −0.163956 0.289390i
\(251\) −65199.0 + 77701.2i −1.03489 + 1.23333i −0.0629703 + 0.998015i \(0.520057\pi\)
−0.971919 + 0.235317i \(0.924387\pi\)
\(252\) −7081.21 1367.73i −0.111508 0.0215377i
\(253\) 21209.6 120285.i 0.331353 1.87920i
\(254\) 18596.9 + 3435.32i 0.288252 + 0.0532475i
\(255\) −2974.19 + 1717.15i −0.0457391 + 0.0264075i
\(256\) 65397.3 + 4261.21i 0.997884 + 0.0650209i
\(257\) −92756.7 + 33760.7i −1.40436 + 0.511146i −0.929470 0.368899i \(-0.879735\pi\)
−0.474892 + 0.880044i \(0.657513\pi\)
\(258\) −4909.99 4188.49i −0.0737634 0.0629242i
\(259\) −6343.36 3662.34i −0.0945626 0.0545958i
\(260\) 920.840 + 1656.60i 0.0136219 + 0.0245059i
\(261\) −46242.5 + 38802.0i −0.678828 + 0.569604i
\(262\) 5852.27 15681.0i 0.0852554 0.228439i
\(263\) −90070.4 + 15881.8i −1.30218 + 0.229609i −0.781372 0.624066i \(-0.785480\pi\)
−0.520806 + 0.853675i \(0.674369\pi\)
\(264\) 12136.9 9689.48i 0.174141 0.139025i
\(265\) 8642.38 0.123067
\(266\) −7985.37 + 2225.79i −0.112858 + 0.0314572i
\(267\) 10604.0i 0.148746i
\(268\) 36808.8 + 106490.i 0.512486 + 1.48265i
\(269\) −21020.4 119213.i −0.290494 1.64747i −0.684972 0.728569i \(-0.740186\pi\)
0.394478 0.918905i \(-0.370925\pi\)
\(270\) −1482.60 + 3972.57i −0.0203374 + 0.0544934i
\(271\) 7598.49 + 9055.53i 0.103464 + 0.123303i 0.815291 0.579051i \(-0.196577\pi\)
−0.711828 + 0.702354i \(0.752132\pi\)
\(272\) 122783. + 49269.0i 1.65959 + 0.665941i
\(273\) 127.027 220.017i 0.00170439 0.00295210i
\(274\) −54125.0 46171.6i −0.720936 0.614998i
\(275\) 31984.5 + 87876.7i 0.422936 + 1.16201i
\(276\) −10277.0 + 17149.9i −0.134911 + 0.225135i
\(277\) −7983.08 13827.1i −0.104042 0.180207i 0.809304 0.587390i \(-0.199844\pi\)
−0.913347 + 0.407183i \(0.866511\pi\)
\(278\) −93845.4 17335.6i −1.21429 0.224311i
\(279\) −78701.0 13877.1i −1.01105 0.178275i
\(280\) −1532.18 + 231.774i −0.0195431 + 0.00295631i
\(281\) −4098.94 3439.42i −0.0519109 0.0435584i 0.616463 0.787384i \(-0.288565\pi\)
−0.668374 + 0.743825i \(0.733009\pi\)
\(282\) 7768.06 + 13711.0i 0.0976820 + 0.172414i
\(283\) 21648.3 59478.2i 0.270303 0.742651i −0.728063 0.685510i \(-0.759579\pi\)
0.998366 0.0571412i \(-0.0181985\pi\)
\(284\) −91128.1 112261.i −1.12984 1.39185i
\(285\) 252.465 + 2385.66i 0.00310822 + 0.0293710i
\(286\) −5785.32 16306.5i −0.0707287 0.199356i
\(287\) 1034.71 2842.83i 0.0125618 0.0345134i
\(288\) 76608.5 24404.7i 0.923617 0.294231i
\(289\) 140612. + 117987.i 1.68355 + 1.41267i
\(290\) −6576.26 + 11179.4i −0.0781957 + 0.132930i
\(291\) 14125.7 + 2490.75i 0.166811 + 0.0294133i
\(292\) −1117.58 7002.36i −0.0131073 0.0821257i
\(293\) 11190.5 + 19382.6i 0.130352 + 0.225775i 0.923812 0.382846i \(-0.125056\pi\)
−0.793461 + 0.608622i \(0.791723\pi\)
\(294\) −9500.04 11510.5i −0.109908 0.133168i
\(295\) −3957.86 10874.1i −0.0454795 0.124954i
\(296\) 81632.6 + 1992.23i 0.931709 + 0.0227383i
\(297\) 19354.4 33522.7i 0.219415 0.380038i
\(298\) 8495.55 + 50583.0i 0.0956663 + 0.569603i
\(299\) 14317.9 + 17063.4i 0.160153 + 0.190863i
\(300\) 248.996 15305.8i 0.00276663 0.170064i
\(301\) −1020.82 5789.34i −0.0112672 0.0638993i
\(302\) −737.265 + 90645.2i −0.00808369 + 0.993873i
\(303\) 17712.5i 0.192927i
\(304\) 66280.0 64402.5i 0.717192 0.696876i
\(305\) 3961.73 0.0425878
\(306\) 162304. + 1320.10i 1.73335 + 0.0140983i
\(307\) 91968.0 16216.4i 0.975798 0.172059i 0.337059 0.941483i \(-0.390568\pi\)
0.638739 + 0.769424i \(0.279457\pi\)
\(308\) 14144.4 + 230.104i 0.149102 + 0.00242562i
\(309\) 10065.8 8446.19i 0.105422 0.0884594i
\(310\) −16933.6 + 2844.04i −0.176208 + 0.0295946i
\(311\) −113446. 65498.4i −1.17293 0.677189i −0.218558 0.975824i \(-0.570135\pi\)
−0.954367 + 0.298635i \(0.903469\pi\)
\(312\) −69.0999 + 2831.40i −0.000709853 + 0.0290865i
\(313\) 42856.2 15598.4i 0.437447 0.159218i −0.113903 0.993492i \(-0.536335\pi\)
0.551350 + 0.834274i \(0.314113\pi\)
\(314\) 67256.0 55508.6i 0.682137 0.562990i
\(315\) −1646.41 + 950.557i −0.0165927 + 0.00957982i
\(316\) −85237.4 + 13604.0i −0.853604 + 0.136236i
\(317\) −25088.5 + 142284.i −0.249664 + 1.41592i 0.559742 + 0.828667i \(0.310900\pi\)
−0.809406 + 0.587249i \(0.800211\pi\)
\(318\) 11131.4 + 6548.02i 0.110077 + 0.0647524i
\(319\) 76109.1 90703.3i 0.747920 0.891336i
\(320\) 13759.6 10445.6i 0.134371 0.102008i
\(321\) 12819.0 + 4665.74i 0.124407 + 0.0452805i
\(322\) −17163.4 + 6089.35i −0.165536 + 0.0587299i
\(323\) 167623. 81903.5i 1.60668 0.785050i
\(324\) 74085.7 60139.1i 0.705740 0.572885i
\(325\) −16025.9 5832.96i −0.151725 0.0552233i
\(326\) −88882.6 + 50357.0i −0.836337 + 0.473832i
\(327\) 12109.9 14432.0i 0.113251 0.134968i
\(328\) 5044.45 + 33347.0i 0.0468884 + 0.309963i
\(329\) −2492.59 + 14136.2i −0.0230282 + 0.130599i
\(330\) 743.649 4025.70i 0.00682874 0.0369670i
\(331\) 53250.5 30744.2i 0.486035 0.280613i −0.236893 0.971536i \(-0.576129\pi\)
0.722928 + 0.690923i \(0.242796\pi\)
\(332\) 90023.5 + 53946.3i 0.816732 + 0.489424i
\(333\) 94138.0 34263.4i 0.848939 0.308988i
\(334\) −16488.8 + 19329.2i −0.147808 + 0.173269i
\(335\) 25721.3 + 14850.2i 0.229194 + 0.132325i
\(336\) −2149.06 862.350i −0.0190358 0.00763845i
\(337\) −87499.2 + 73420.5i −0.770449 + 0.646484i −0.940824 0.338895i \(-0.889947\pi\)
0.170375 + 0.985379i \(0.445502\pi\)
\(338\) −104077. 38842.3i −0.911003 0.339994i
\(339\) −2032.51 + 358.387i −0.0176862 + 0.00311855i
\(340\) 32960.8 11393.1i 0.285128 0.0985559i
\(341\) 156751. 1.34804
\(342\) 46882.7 103232.i 0.400830 0.882596i
\(343\) 27378.3i 0.232712i
\(344\) 40888.5 + 51216.6i 0.345529 + 0.432806i
\(345\) 915.174 + 5190.21i 0.00768892 + 0.0436060i
\(346\) −120374. 44924.7i −1.00550 0.375261i
\(347\) 24050.9 + 28662.8i 0.199744 + 0.238045i 0.856613 0.515959i \(-0.172564\pi\)
−0.656870 + 0.754004i \(0.728120\pi\)
\(348\) −16940.5 + 9416.58i −0.139884 + 0.0777562i
\(349\) −116402. + 201613.i −0.955670 + 1.65527i −0.222842 + 0.974855i \(0.571533\pi\)
−0.732828 + 0.680414i \(0.761800\pi\)
\(350\) 9049.36 10608.2i 0.0738723 0.0865974i
\(351\) 2414.40 + 6633.52i 0.0195973 + 0.0538431i
\(352\) −139670. + 73235.1i −1.12725 + 0.591063i
\(353\) −121818. 210995.i −0.977602 1.69326i −0.671065 0.741398i \(-0.734163\pi\)
−0.306537 0.951859i \(-0.599170\pi\)
\(354\) 3141.19 17004.7i 0.0250662 0.135694i
\(355\) −37535.6 6618.54i −0.297842 0.0525176i
\(356\) −20420.9 + 105726.i −0.161130 + 0.834224i
\(357\) −3580.96 3004.79i −0.0280972 0.0235764i
\(358\) −110596. + 62659.1i −0.862929 + 0.488898i
\(359\) −17951.3 + 49320.8i −0.139286 + 0.382685i −0.989649 0.143512i \(-0.954160\pi\)
0.850363 + 0.526197i \(0.176383\pi\)
\(360\) 11041.7 18090.5i 0.0851979 0.139587i
\(361\) −4734.09 130235.i −0.0363264 0.999340i
\(362\) −150235. + 53301.4i −1.14645 + 0.406744i
\(363\) −4892.08 + 13440.9i −0.0371262 + 0.102003i
\(364\) −1690.22 + 1949.04i −0.0127567 + 0.0147102i
\(365\) −1431.88 1201.49i −0.0107479 0.00901852i
\(366\) 5102.74 + 3001.66i 0.0380926 + 0.0224078i
\(367\) 39593.6 + 6981.42i 0.293963 + 0.0518337i 0.318685 0.947861i \(-0.396759\pi\)
−0.0247216 + 0.999694i \(0.507870\pi\)
\(368\) 135493. 151200.i 1.00051 1.11650i
\(369\) 20688.4 + 35833.3i 0.151941 + 0.263169i
\(370\) 16601.0 13701.3i 0.121264 0.100083i
\(371\) 4023.40 + 11054.2i 0.0292311 + 0.0803118i
\(372\) −23965.4 9166.84i −0.173180 0.0662421i
\(373\) −37266.6 + 64547.6i −0.267856 + 0.463941i −0.968308 0.249759i \(-0.919649\pi\)
0.700452 + 0.713700i \(0.252982\pi\)
\(374\) −313968. + 52731.7i −2.24462 + 0.376989i
\(375\) −5263.48 6272.77i −0.0374292 0.0446063i
\(376\) −51046.5 151664.i −0.361069 1.07277i
\(377\) 3749.63 + 21265.2i 0.0263819 + 0.149619i
\(378\) −5771.41 46.9419i −0.0403923 0.000328532i
\(379\) 10968.1i 0.0763574i −0.999271 0.0381787i \(-0.987844\pi\)
0.999271 0.0381787i \(-0.0121556\pi\)
\(380\) 2077.07 24272.2i 0.0143841 0.168090i
\(381\) 7449.36 0.0513179
\(382\) −2267.58 + 278794.i −0.0155395 + 1.91055i
\(383\) 15887.5 2801.39i 0.108307 0.0190975i −0.119232 0.992866i \(-0.538043\pi\)
0.227539 + 0.973769i \(0.426932\pi\)
\(384\) 25636.7 3028.84i 0.173860 0.0205407i
\(385\) 2856.57 2396.94i 0.0192718 0.0161710i
\(386\) −23612.6 140591.i −0.158478 0.943588i
\(387\) 69630.4 + 40201.1i 0.464918 + 0.268421i
\(388\) −136043. 52036.8i −0.903675 0.345658i
\(389\) −15108.0 + 5498.88i −0.0998410 + 0.0363392i −0.391458 0.920196i \(-0.628029\pi\)
0.291617 + 0.956535i \(0.405807\pi\)
\(390\) 475.226 + 575.799i 0.00312443 + 0.00378566i
\(391\) 354946. 204928.i 2.32171 1.34044i
\(392\) 72552.6 + 133060.i 0.472151 + 0.865915i
\(393\) 1144.86 6492.82i 0.00741254 0.0420386i
\(394\) 101406. 172387.i 0.653239 1.11049i
\(395\) −14625.4 + 17429.8i −0.0937374 + 0.111712i
\(396\) −126760. + 146171.i −0.808338 + 0.932118i
\(397\) 125705. + 45753.0i 0.797578 + 0.290295i 0.708482 0.705729i \(-0.249380\pi\)
0.0890954 + 0.996023i \(0.471602\pi\)
\(398\) 24006.3 + 67664.0i 0.151551 + 0.427161i
\(399\) −2933.89 + 1433.55i −0.0184289 + 0.00900464i
\(400\) −31958.1 + 152126.i −0.199738 + 0.950785i
\(401\) 40027.4 + 14568.8i 0.248925 + 0.0906012i 0.463469 0.886113i \(-0.346604\pi\)
−0.214544 + 0.976714i \(0.568827\pi\)
\(402\) 21877.8 + 38615.3i 0.135379 + 0.238950i
\(403\) −18375.0 + 21898.5i −0.113140 + 0.134835i
\(404\) 34110.3 176601.i 0.208989 1.08201i
\(405\) 4367.84 24771.3i 0.0266291 0.151021i
\(406\) −17360.8 3206.98i −0.105322 0.0194556i
\(407\) −170173. + 98249.7i −1.02731 + 0.593120i
\(408\) 51085.8 + 10298.9i 0.306888 + 0.0618684i
\(409\) 6658.92 2423.65i 0.0398068 0.0144885i −0.322040 0.946726i \(-0.604369\pi\)
0.361847 + 0.932238i \(0.382146\pi\)
\(410\) 6763.68 + 5769.79i 0.0402360 + 0.0343235i
\(411\) −24269.2 14011.8i −0.143672 0.0829491i
\(412\) −116626. + 64827.6i −0.687067 + 0.381914i
\(413\) 12066.2 10124.7i 0.0707409 0.0593587i
\(414\) 87091.3 233358.i 0.508129 1.36152i
\(415\) 27244.5 4803.95i 0.158192 0.0278934i
\(416\) 6141.60 28097.2i 0.0354891 0.162359i
\(417\) −37591.7 −0.216182
\(418\) −55400.5 + 215379.i −0.317074 + 1.23268i
\(419\) 177140.i 1.00899i 0.863414 + 0.504496i \(0.168322\pi\)
−0.863414 + 0.504496i \(0.831678\pi\)
\(420\) −576.909 + 199.412i −0.00327046 + 0.00113045i
\(421\) −42942.1 243537.i −0.242281 1.37404i −0.826724 0.562608i \(-0.809798\pi\)
0.584443 0.811434i \(-0.301313\pi\)
\(422\) 46879.8 125613.i 0.263245 0.705358i
\(423\) −126194. 150392.i −0.705275 0.840515i
\(424\) −98375.1 86723.2i −0.547209 0.482396i
\(425\) −156902. + 271762.i −0.868661 + 1.50456i
\(426\) −43331.4 36964.1i −0.238772 0.203686i
\(427\) 1844.36 + 5067.33i 0.0101155 + 0.0277922i
\(428\) −118826. 71206.0i −0.648670 0.388713i
\(429\) −3407.75 5902.40i −0.0185163 0.0320711i
\(430\) 16988.0 + 3138.12i 0.0918768 + 0.0169720i
\(431\) −223796. 39461.3i −1.20475 0.212430i −0.465001 0.885310i \(-0.653946\pi\)
−0.739752 + 0.672880i \(0.765057\pi\)
\(432\) 56739.6 30341.9i 0.304032 0.162583i
\(433\) 113018. + 94833.3i 0.602798 + 0.505807i 0.892344 0.451357i \(-0.149060\pi\)
−0.289546 + 0.957164i \(0.593504\pi\)
\(434\) −11521.0 20335.2i −0.0611663 0.107962i
\(435\) −1747.40 + 4800.94i −0.00923451 + 0.0253716i
\(436\) −148533. + 120572.i −0.781360 + 0.634269i
\(437\) −30129.7 284710.i −0.157773 1.49087i
\(438\) −933.946 2632.42i −0.00486826 0.0137217i
\(439\) −53157.9 + 146050.i −0.275829 + 0.757833i 0.721995 + 0.691898i \(0.243225\pi\)
−0.997824 + 0.0659348i \(0.978997\pi\)
\(440\) −15167.1 + 38705.8i −0.0783425 + 0.199927i
\(441\) 142433. + 119515.i 0.732373 + 0.614534i
\(442\) 29437.9 50043.5i 0.150682 0.256155i
\(443\) 131544. + 23194.8i 0.670291 + 0.118190i 0.498429 0.866931i \(-0.333910\pi\)
0.171862 + 0.985121i \(0.445022\pi\)
\(444\) 31763.2 5069.44i 0.161123 0.0257154i
\(445\) 14192.3 + 24581.8i 0.0716693 + 0.124135i
\(446\) 244582. + 296344.i 1.22958 + 1.48979i
\(447\) 6910.18 + 18985.6i 0.0345840 + 0.0950186i
\(448\) 19766.4 + 12736.6i 0.0984851 + 0.0634597i
\(449\) 161167. 279149.i 0.799433 1.38466i −0.120552 0.992707i \(-0.538466\pi\)
0.919986 0.391952i \(-0.128200\pi\)
\(450\) 31587.3 + 188073.i 0.155987 + 0.928754i
\(451\) −52168.2 62171.6i −0.256480 0.305660i
\(452\) 20955.2 + 340.901i 0.102569 + 0.00166860i
\(453\) 6200.44 + 35164.4i 0.0302152 + 0.171359i
\(454\) 1676.92 206173.i 0.00813579 1.00028i
\(455\) 680.048i 0.00328486i
\(456\) 21065.5 29689.1i 0.101308 0.142780i
\(457\) −148549. −0.711275 −0.355637 0.934624i \(-0.615736\pi\)
−0.355637 + 0.934624i \(0.615736\pi\)
\(458\) 164692. + 1339.53i 0.785131 + 0.00638588i
\(459\) 127918. 22555.3i 0.607162 0.107059i
\(460\) 870.524 53511.0i 0.00411401 0.252888i
\(461\) −207797. + 174362.i −0.977771 + 0.820447i −0.983752 0.179535i \(-0.942541\pi\)
0.00598061 + 0.999982i \(0.498096\pi\)
\(462\) 5495.35 922.959i 0.0257461 0.00432413i
\(463\) −217643. 125656.i −1.01527 0.586167i −0.102541 0.994729i \(-0.532697\pi\)
−0.912731 + 0.408562i \(0.866031\pi\)
\(464\) 187039. 61263.6i 0.868750 0.284555i
\(465\) −6355.77 + 2313.31i −0.0293943 + 0.0106986i
\(466\) −53589.1 + 44228.8i −0.246777 + 0.203673i
\(467\) −77403.5 + 44689.0i −0.354917 + 0.204912i −0.666849 0.745193i \(-0.732357\pi\)
0.311932 + 0.950105i \(0.399024\pi\)
\(468\) −5561.05 34843.5i −0.0253902 0.159085i
\(469\) −7020.07 + 39812.8i −0.0319151 + 0.180999i
\(470\) −36358.4 21387.7i −0.164592 0.0968208i
\(471\) 22079.9 26313.8i 0.0995304 0.118616i
\(472\) −64066.2 + 163494.i −0.287571 + 0.733870i
\(473\) −148196. 53938.9i −0.662390 0.241090i
\(474\) −32043.5 + 11368.6i −0.142621 + 0.0506000i
\(475\) 128971. + 177247.i 0.571617 + 0.785583i
\(476\) 29917.2 + 36855.1i 0.132040 + 0.162661i
\(477\) −151188. 55028.0i −0.664479 0.241851i
\(478\) 207103. 117336.i 0.906424 0.513540i
\(479\) −104854. + 124960.i −0.456999 + 0.544630i −0.944508 0.328488i \(-0.893461\pi\)
0.487510 + 0.873118i \(0.337905\pi\)
\(480\) 4582.40 5030.69i 0.0198889 0.0218346i
\(481\) 6222.73 35290.8i 0.0268962 0.152536i
\(482\) 20954.0 113433.i 0.0901931 0.488255i
\(483\) −6212.58 + 3586.84i −0.0266304 + 0.0153751i
\(484\) 74660.3 124590.i 0.318712 0.531855i
\(485\) −36079.4 + 13131.8i −0.153382 + 0.0558267i
\(486\) 77244.5 90550.5i 0.327036 0.383370i
\(487\) 56553.1 + 32651.0i 0.238451 + 0.137670i 0.614464 0.788944i \(-0.289372\pi\)
−0.376014 + 0.926614i \(0.622705\pi\)
\(488\) −45095.9 39754.6i −0.189364 0.166935i
\(489\) −30825.7 + 25865.8i −0.128912 + 0.108170i
\(490\) 37428.3 + 13968.6i 0.155886 + 0.0581781i
\(491\) −120513. + 21249.6i −0.499885 + 0.0881432i −0.417905 0.908491i \(-0.637235\pi\)
−0.0819799 + 0.996634i \(0.526124\pi\)
\(492\) 4340.09 + 12556.1i 0.0179295 + 0.0518711i
\(493\) 397319. 1.63473
\(494\) −23594.6 32987.2i −0.0966851 0.135173i
\(495\) 51001.3i 0.208147i
\(496\) 221292. + 137549.i 0.899502 + 0.559107i
\(497\) −9008.87 51091.8i −0.0364718 0.206842i
\(498\) 38730.9 + 14454.7i 0.156170 + 0.0582842i
\(499\) −81368.0 96970.6i −0.326778 0.389439i 0.577495 0.816394i \(-0.304030\pi\)
−0.904272 + 0.426956i \(0.859586\pi\)
\(500\) 40399.1 + 72678.4i 0.161596 + 0.290714i
\(501\) −5003.92 + 8667.05i −0.0199359 + 0.0345299i
\(502\) 263315. 308673.i 1.04489 1.22487i
\(503\) −46235.0 127030.i −0.182740 0.502075i 0.814170 0.580627i \(-0.197193\pi\)
−0.996910 + 0.0785520i \(0.974970\pi\)
\(504\) 28279.4 + 5701.11i 0.111329 + 0.0224439i
\(505\) −23706.3 41060.5i −0.0929567 0.161006i
\(506\) −88748.7 + 480436.i −0.346626 + 1.87644i
\(507\) −43093.7 7598.58i −0.167648 0.0295608i
\(508\) −74273.3 14345.8i −0.287810 0.0555902i
\(509\) −71871.1 60307.0i −0.277408 0.232773i 0.493459 0.869769i \(-0.335732\pi\)
−0.770867 + 0.636996i \(0.780177\pi\)
\(510\) 11952.2 6771.61i 0.0459524 0.0260346i
\(511\) 870.189 2390.82i 0.00333251 0.00915600i
\(512\) −261442. 19171.8i −0.997322 0.0731348i
\(513\) 21887.6 88054.1i 0.0831693 0.334591i
\(514\) 372113. 132021.i 1.40847 0.499707i
\(515\) −12029.8 + 33051.7i −0.0453570 + 0.124617i
\(516\) 19503.0 + 16913.1i 0.0732492 + 0.0635221i
\(517\) 294990. + 247526.i 1.10364 + 0.926063i
\(518\) 25253.4 + 14855.2i 0.0941155 + 0.0553631i
\(519\) −49841.8 8788.46i −0.185037 0.0326271i
\(520\) −3629.34 6656.14i −0.0134221 0.0246159i
\(521\) 144668. + 250572.i 0.532962 + 0.923118i 0.999259 + 0.0384893i \(0.0122546\pi\)
−0.466297 + 0.884628i \(0.654412\pi\)
\(522\) 186226. 153699.i 0.683438 0.564065i
\(523\) −143550. 394400.i −0.524807 1.44190i −0.865111 0.501580i \(-0.832752\pi\)
0.340304 0.940315i \(-0.389470\pi\)
\(524\) −23918.5 + 62531.4i −0.0871105 + 0.227738i
\(525\) 2746.24 4756.62i 0.00996368 0.0172576i
\(526\) 360786. 60595.0i 1.30400 0.219011i
\(527\) 338102. + 402935.i 1.21738 + 1.45082i
\(528\) −48861.4 + 38361.8i −0.175266 + 0.137604i
\(529\) −60624.9 343821.i −0.216641 1.22863i
\(530\) −34568.4 281.163i −0.123063 0.00100094i
\(531\) 215431.i 0.764044i
\(532\) 32012.8 8643.06i 0.113110 0.0305382i
\(533\) 14800.9 0.0520995
\(534\) −344.980 + 42414.5i −0.00120979 + 0.148741i
\(535\) −35961.3 + 6340.94i −0.125640 + 0.0221537i
\(536\) −143766. 427143.i −0.500410 1.48677i
\(537\) −38356.3 + 32184.8i −0.133011 + 0.111610i
\(538\) 80200.7 + 477520.i 0.277085 + 1.64978i
\(539\) −315841. 182351.i −1.08715 0.627668i
\(540\) 6059.44 15841.5i 0.0207800 0.0543262i
\(541\) −402895. + 146642.i −1.37657 + 0.501029i −0.921135 0.389242i \(-0.872737\pi\)
−0.455430 + 0.890271i \(0.650515\pi\)
\(542\) −30098.4 36468.1i −0.102458 0.124141i
\(543\) −54380.0 + 31396.3i −0.184434 + 0.106483i
\(544\) −489513. 201064.i −1.65412 0.679417i
\(545\) −8757.02 + 49663.5i −0.0294824 + 0.167203i
\(546\) −515.248 + 875.906i −0.00172835 + 0.00293814i
\(547\) −139632. + 166406.i −0.466669 + 0.556154i −0.947125 0.320864i \(-0.896027\pi\)
0.480456 + 0.877019i \(0.340471\pi\)
\(548\) 214991. + 186441.i 0.715910 + 0.620841i
\(549\) −69305.9 25225.3i −0.229946 0.0836934i
\(550\) −125075. 352536.i −0.413471 1.16541i
\(551\) 112705. 253627.i 0.371228 0.835397i
\(552\) 41664.6 68262.9i 0.136738 0.224030i
\(553\) −29102.7 10592.5i −0.0951663 0.0346377i
\(554\) 31481.4 + 55566.3i 0.102573 + 0.181047i
\(555\) 5450.05 6495.12i 0.0176935 0.0210863i
\(556\) 374805. + 72393.3i 1.21243 + 0.234179i
\(557\) 61531.4 348962.i 0.198329 1.12478i −0.709268 0.704939i \(-0.750975\pi\)
0.907597 0.419842i \(-0.137914\pi\)
\(558\) 314342. + 58067.0i 1.00956 + 0.186492i
\(559\) 24907.5 14380.3i 0.0797088 0.0460199i
\(560\) 6136.05 877.220i 0.0195665 0.00279726i
\(561\) −117843. + 42891.4i −0.374437 + 0.136284i
\(562\) 16283.3 + 13890.6i 0.0515549 + 0.0439792i
\(563\) −159662. 92180.6i −0.503713 0.290819i 0.226532 0.974004i \(-0.427261\pi\)
−0.730246 + 0.683185i \(0.760594\pi\)
\(564\) −30625.2 55095.0i −0.0962765 0.173202i
\(565\) 4232.04 3551.10i 0.0132572 0.0111241i
\(566\) −88525.3 + 237201.i −0.276334 + 0.740428i
\(567\) 33717.6 5945.32i 0.104879 0.0184931i
\(568\) 360848. + 451994.i 1.11848 + 1.40099i
\(569\) 417016. 1.28804 0.644018 0.765010i \(-0.277266\pi\)
0.644018 + 0.765010i \(0.277266\pi\)
\(570\) −932.214 9550.54i −0.00286923 0.0293953i
\(571\) 36299.2i 0.111333i −0.998449 0.0556666i \(-0.982272\pi\)
0.998449 0.0556666i \(-0.0177284\pi\)
\(572\) 22610.0 + 65412.0i 0.0691049 + 0.199924i
\(573\) 19070.5 + 108154.i 0.0580834 + 0.329407i
\(574\) −4231.18 + 11337.3i −0.0128421 + 0.0344101i
\(575\) 309543. + 368899.i 0.936236 + 1.11576i
\(576\) −307218. + 95123.1i −0.925980 + 0.286709i
\(577\) −82919.6 + 143621.i −0.249061 + 0.431386i −0.963266 0.268551i \(-0.913455\pi\)
0.714205 + 0.699937i \(0.246789\pi\)
\(578\) −558590. 476508.i −1.67200 1.42631i
\(579\) −19206.2 52768.7i −0.0572908 0.157405i
\(580\) 26667.9 44502.3i 0.0792743 0.132290i
\(581\) 18828.1 + 32611.2i 0.0557768 + 0.0966083i
\(582\) −56420.0 10422.2i −0.166566 0.0307690i
\(583\) 310789. + 54800.5i 0.914384 + 0.161231i
\(584\) 4242.38 + 28044.9i 0.0124390 + 0.0822296i
\(585\) −7124.99 5978.58i −0.0208196 0.0174697i
\(586\) −44130.1 77891.9i −0.128511 0.226828i
\(587\) 100608. 276418.i 0.291982 0.802215i −0.703794 0.710404i \(-0.748512\pi\)
0.995776 0.0918108i \(-0.0292655\pi\)
\(588\) 37624.4 + 46349.7i 0.108822 + 0.134058i
\(589\) 353120. 101528.i 1.01787 0.292656i
\(590\) 15477.1 + 43623.8i 0.0444617 + 0.125320i
\(591\) 26945.0 74030.7i 0.0771441 0.211952i
\(592\) −326455. 10624.4i −0.931493 0.0303153i
\(593\) 178497. + 149777.i 0.507599 + 0.425926i 0.860283 0.509816i \(-0.170287\pi\)
−0.352684 + 0.935742i \(0.614731\pi\)
\(594\) −78505.5 + 133457.i −0.222499 + 0.378240i
\(595\) 12322.9 + 2172.85i 0.0348079 + 0.00613757i
\(596\) −32335.4 202602.i −0.0910304 0.570362i
\(597\) 14140.5 + 24492.1i 0.0396749 + 0.0687190i
\(598\) −56714.5 68717.0i −0.158596 0.192160i
\(599\) 85734.3 + 235553.i 0.238947 + 0.656500i 0.999970 + 0.00777574i \(0.00247512\pi\)
−0.761023 + 0.648725i \(0.775303\pi\)
\(600\) −1493.90 + 61213.0i −0.00414971 + 0.170036i
\(601\) 153194. 265339.i 0.424123 0.734603i −0.572215 0.820104i \(-0.693916\pi\)
0.996338 + 0.0855010i \(0.0272491\pi\)
\(602\) 3894.79 + 23189.8i 0.0107471 + 0.0639888i
\(603\) −355410. 423561.i −0.977451 1.16488i
\(604\) 5897.93 362545.i 0.0161669 0.993775i
\(605\) −6648.54 37705.7i −0.0181642 0.103014i
\(606\) 576.240 70847.5i 0.00156913 0.192921i
\(607\) 414698.i 1.12552i 0.826619 + 0.562762i \(0.190261\pi\)
−0.826619 + 0.562762i \(0.809739\pi\)
\(608\) −267206. + 255445.i −0.722836 + 0.691020i
\(609\) −6954.23 −0.0187506
\(610\) −15846.4 128.887i −0.0425864 0.000346378i
\(611\) −69160.0 + 12194.8i −0.185256 + 0.0326656i
\(612\) −649152. 10560.5i −1.73318 0.0281956i
\(613\) −140365. + 117781.i −0.373542 + 0.313439i −0.810161 0.586208i \(-0.800620\pi\)
0.436619 + 0.899646i \(0.356176\pi\)
\(614\) −368387. + 61871.6i −0.977165 + 0.164117i
\(615\) 3032.78 + 1750.98i 0.00801845 + 0.00462946i
\(616\) −56568.4 1380.55i −0.149078 0.00363822i
\(617\) −446204. + 162405.i −1.17210 + 0.426608i −0.853404 0.521250i \(-0.825466\pi\)
−0.318692 + 0.947858i \(0.603244\pi\)
\(618\) −40536.6 + 33456.2i −0.106138 + 0.0875990i
\(619\) −344606. + 198958.i −0.899377 + 0.519256i −0.876998 0.480494i \(-0.840457\pi\)
−0.0223790 + 0.999750i \(0.507124\pi\)
\(620\) 67824.7 10824.9i 0.176443 0.0281605i
\(621\) 34613.4 196303.i 0.0897556 0.509029i
\(622\) 451640. + 265676.i 1.16738 + 0.686706i
\(623\) −24834.7 + 29596.8i −0.0639857 + 0.0762552i
\(624\) 368.504 11323.0i 0.000946398 0.0290798i
\(625\) −336023. 122302.i −0.860219 0.313094i
\(626\) −171927. + 60997.3i −0.438727 + 0.155655i
\(627\) −6048.33 + 87391.7i −0.0153851 + 0.222298i
\(628\) −270821. + 219839.i −0.686693 + 0.557424i
\(629\) −619608. 225519.i −1.56609 0.570009i
\(630\) 6616.36 3748.54i 0.0166701 0.00944455i
\(631\) −48853.6 + 58221.5i −0.122698 + 0.146226i −0.823897 0.566740i \(-0.808204\pi\)
0.701198 + 0.712966i \(0.252649\pi\)
\(632\) 341381. 51641.1i 0.854683 0.129289i
\(633\) 9170.93 52010.9i 0.0228879 0.129804i
\(634\) 104980. 568301.i 0.261172 1.41384i
\(635\) −17268.9 + 9970.19i −0.0428269 + 0.0247261i
\(636\) −44311.2 26553.4i −0.109547 0.0656456i
\(637\) 62499.0 22747.8i 0.154026 0.0560609i
\(638\) −307377. + 360325.i −0.755145 + 0.885224i
\(639\) 614499. + 354781.i 1.50494 + 0.868878i
\(640\) −55376.5 + 41333.4i −0.135196 + 0.100912i
\(641\) −131293. + 110168.i −0.319541 + 0.268127i −0.788422 0.615134i \(-0.789102\pi\)
0.468881 + 0.883261i \(0.344657\pi\)
\(642\) −51122.6 19079.4i −0.124035 0.0462908i
\(643\) 116227. 20494.0i 0.281116 0.0495684i −0.0313123 0.999510i \(-0.509969\pi\)
0.312428 + 0.949941i \(0.398858\pi\)
\(644\) 68849.5 23798.2i 0.166008 0.0573816i
\(645\) 6804.90 0.0163570
\(646\) −673135. + 322150.i −1.61301 + 0.771956i
\(647\) 778705.i 1.86022i −0.367280 0.930110i \(-0.619711\pi\)
0.367280 0.930110i \(-0.380289\pi\)
\(648\) −298290. + 238138.i −0.710376 + 0.567126i
\(649\) −73376.9 416141.i −0.174209 0.987987i
\(650\) 63911.8 + 23852.5i 0.151271 + 0.0564555i
\(651\) −5917.77 7052.53i −0.0139636 0.0166411i
\(652\) 357157. 198530.i 0.840163 0.467014i
\(653\) −318195. + 551130.i −0.746220 + 1.29249i 0.203403 + 0.979095i \(0.434800\pi\)
−0.949623 + 0.313396i \(0.898533\pi\)
\(654\) −48907.4 + 57332.0i −0.114345 + 0.134042i
\(655\) 6035.98 + 16583.7i 0.0140691 + 0.0386544i
\(656\) −19092.2 133548.i −0.0443659 0.310334i
\(657\) 17398.9 + 30135.8i 0.0403081 + 0.0698156i
\(658\) 10429.9 56461.9i 0.0240896 0.130408i
\(659\) 637953. + 112488.i 1.46899 + 0.259022i 0.850168 0.526511i \(-0.176500\pi\)
0.618819 + 0.785533i \(0.287611\pi\)
\(660\) −3105.47 + 16078.1i −0.00712917 + 0.0369102i
\(661\) 333913. + 280186.i 0.764241 + 0.641275i 0.939227 0.343296i \(-0.111544\pi\)
−0.174986 + 0.984571i \(0.555988\pi\)
\(662\) −213995. + 121240.i −0.488302 + 0.276650i
\(663\) 7822.04 21490.9i 0.0177948 0.0488908i
\(664\) −358327. 218707.i −0.812724 0.496050i
\(665\) 4882.60 7249.91i 0.0110410 0.0163942i
\(666\) −377654. + 133987.i −0.851424 + 0.302074i
\(667\) 208538. 572955.i 0.468743 1.28786i
\(668\) 66582.0 76777.7i 0.149212 0.172061i
\(669\) 115944. + 97288.7i 0.259058 + 0.217375i
\(670\) −102399. 60235.7i −0.228111 0.134185i
\(671\) 142468. + 25121.0i 0.316426 + 0.0557945i
\(672\) 8567.91 + 3519.20i 0.0189730 + 0.00779302i
\(673\) 400060. + 692924.i 0.883272 + 1.52987i 0.847681 + 0.530506i \(0.177998\pi\)
0.0355912 + 0.999366i \(0.488669\pi\)
\(674\) 352374. 290826.i 0.775682 0.640196i
\(675\) 52197.9 + 143412.i 0.114563 + 0.314760i
\(676\) 415029. + 158750.i 0.908208 + 0.347392i
\(677\) 193016. 334314.i 0.421130 0.729419i −0.574920 0.818209i \(-0.694967\pi\)
0.996050 + 0.0887907i \(0.0283002\pi\)
\(678\) 8141.44 1367.38i 0.0177109 0.00297460i
\(679\) −33593.0 40034.6i −0.0728634 0.0868353i
\(680\) −132209. + 44498.4i −0.285920 + 0.0962337i
\(681\) −14103.0 79981.8i −0.0304100 0.172463i
\(682\) −626984. 5099.59i −1.34799 0.0109639i
\(683\) 415120.i 0.889882i −0.895560 0.444941i \(-0.853225\pi\)
0.895560 0.444941i \(-0.146775\pi\)
\(684\) −190883. + 411389.i −0.407995 + 0.879307i
\(685\) 75013.5 0.159867
\(686\) −890.699 + 109510.i −0.00189270 + 0.232704i
\(687\) 63889.8 11265.5i 0.135369 0.0238692i
\(688\) −161883. 206190.i −0.341998 0.435602i
\(689\) −44087.7 + 36994.0i −0.0928708 + 0.0779278i
\(690\) −3491.72 20789.9i −0.00733401 0.0436671i
\(691\) 88934.9 + 51346.6i 0.186258 + 0.107536i 0.590230 0.807235i \(-0.299037\pi\)
−0.403971 + 0.914772i \(0.632370\pi\)
\(692\) 480020. + 183609.i 1.00241 + 0.383426i
\(693\) −65234.2 + 23743.3i −0.135834 + 0.0494395i
\(694\) −95268.0 115430.i −0.197801 0.239662i
\(695\) 87143.9 50312.5i 0.180413 0.104161i
\(696\) 68066.2 37114.0i 0.140512 0.0766159i
\(697\) 47291.0 268201.i 0.0973448 0.552070i
\(698\) 472150. 802640.i 0.969101 1.64744i
\(699\) −17593.1 + 20966.7i −0.0360071 + 0.0429116i
\(700\) −36541.4 + 42136.9i −0.0745742 + 0.0859937i
\(701\) 624617. + 227342.i 1.27109 + 0.462641i 0.887477 0.460851i \(-0.152456\pi\)
0.383618 + 0.923492i \(0.374678\pi\)
\(702\) −9441.49 26611.8i −0.0191587 0.0540007i
\(703\) −319720. + 331553.i −0.646934 + 0.670877i
\(704\) 561045. 288387.i 1.13202 0.581876i
\(705\) −15613.9 5683.00i −0.0314147 0.0114340i
\(706\) 480392. + 847915.i 0.963798 + 1.70115i
\(707\) 41482.9 49437.4i 0.0829908 0.0989046i
\(708\) −13117.6 + 67914.2i −0.0261690 + 0.135486i
\(709\) −56907.0 + 322735.i −0.113207 + 0.642028i 0.874416 + 0.485178i \(0.161245\pi\)
−0.987622 + 0.156850i \(0.949866\pi\)
\(710\) 149922. + 27694.4i 0.297405 + 0.0549383i
\(711\) 366833. 211791.i 0.725654 0.418957i
\(712\) 85120.6 422226.i 0.167909 0.832886i
\(713\) 758511. 276076.i 1.49205 0.543061i
\(714\) 14225.6 + 12135.2i 0.0279046 + 0.0238041i
\(715\) 15799.5 + 9121.84i 0.0309052 + 0.0178431i
\(716\) 444410. 247030.i 0.866877 0.481863i
\(717\) 71826.2 60269.4i 0.139716 0.117235i
\(718\) 73407.3 196693.i 0.142394 0.381539i
\(719\) 659794. 116340.i 1.27629 0.225045i 0.505888 0.862599i \(-0.331165\pi\)
0.770406 + 0.637554i \(0.220054\pi\)
\(720\) −44753.7 + 72000.5i −0.0863304 + 0.138890i
\(721\) −47875.8 −0.0920970
\(722\) 14698.8 + 521077.i 0.0281973 + 0.999602i
\(723\) 45438.0i 0.0869246i
\(724\) 602654. 208311.i 1.14972 0.397406i
\(725\) 81064.6 + 459740.i 0.154225 + 0.874655i
\(726\) 20004.9 53602.6i 0.0379546 0.101698i
\(727\) −350700. 417949.i −0.663541 0.790777i 0.324349 0.945938i \(-0.394855\pi\)
−0.987889 + 0.155161i \(0.950410\pi\)
\(728\) 6824.05 7740.90i 0.0128759 0.0146059i
\(729\) −218096. + 377753.i −0.410386 + 0.710810i
\(730\) 5688.26 + 4852.40i 0.0106742 + 0.00910564i
\(731\) −180997. 497286.i −0.338717 0.930617i
\(732\) −20312.6 12172.3i −0.0379091 0.0227169i
\(733\) −494155. 855902.i −0.919720 1.59300i −0.799841 0.600213i \(-0.795083\pi\)
−0.119879 0.992788i \(-0.538251\pi\)
\(734\) −158142. 29212.9i −0.293532 0.0542228i
\(735\) 15497.5 + 2732.62i 0.0286871 + 0.00505830i
\(736\) −546873. + 600373.i −1.00956 + 1.10832i
\(737\) 830803. + 697126.i 1.52955 + 1.28344i
\(738\) −81585.0 144002.i −0.149795 0.264396i
\(739\) −213102. + 585492.i −0.390210 + 1.07209i 0.576696 + 0.816959i \(0.304342\pi\)
−0.966906 + 0.255134i \(0.917880\pi\)
\(740\) −66847.5 + 54263.5i −0.122074 + 0.0990933i
\(741\) −11499.8 11089.4i −0.0209437 0.0201963i
\(742\) −15733.4 44346.2i −0.0285770 0.0805469i
\(743\) 269825. 741339.i 0.488771 1.34289i −0.413024 0.910720i \(-0.635527\pi\)
0.901794 0.432166i \(-0.142250\pi\)
\(744\) 95560.2 + 37445.8i 0.172636 + 0.0676484i
\(745\) −41429.2 34763.2i −0.0746438 0.0626336i
\(746\) 151161. 256969.i 0.271621 0.461747i
\(747\) −507199. 89432.9i −0.908944 0.160271i
\(748\) 1.25755e6 200706.i 2.24761 0.358721i
\(749\) −24852.0 43045.0i −0.0442994 0.0767288i
\(750\) 20849.1 + 25261.5i 0.0370651 + 0.0449093i
\(751\) 260386. + 715404.i 0.461676 + 1.26845i 0.924224 + 0.381851i \(0.124713\pi\)
−0.462548 + 0.886594i \(0.653065\pi\)
\(752\) 199245. + 608298.i 0.352332 + 1.07567i
\(753\) 79909.2 138407.i 0.140931 0.244100i
\(754\) −14306.2 85180.0i −0.0251641 0.149829i
\(755\) −61437.5 73218.4i −0.107780 0.128448i
\(756\) 23083.3 + 375.523i 0.0403883 + 0.000657041i
\(757\) −10086.4 57203.0i −0.0176014 0.0998222i 0.974741 0.223336i \(-0.0716948\pi\)
−0.992343 + 0.123514i \(0.960584\pi\)
\(758\) −356.824 + 43870.8i −0.000621035 + 0.0763549i
\(759\) 192448.i 0.334065i
\(760\) −9097.66 + 97018.2i −0.0157508 + 0.167968i
\(761\) −50336.3 −0.0869185 −0.0434592 0.999055i \(-0.513838\pi\)
−0.0434592 + 0.999055i \(0.513838\pi\)
\(762\) −29796.5 242.350i −0.0513162 0.000417382i
\(763\) −67599.9 + 11919.7i −0.116117 + 0.0204746i
\(764\) 18140.1 1.11507e6i 0.0310779 1.91036i
\(765\) −131101. + 110007.i −0.224018 + 0.187973i
\(766\) −63639.0 + 10688.3i −0.108459 + 0.0182160i
\(767\) 66737.4 + 38530.9i 0.113443 + 0.0654965i
\(768\) −102642. + 11280.9i −0.174022 + 0.0191259i
\(769\) −890447. + 324096.i −1.50576 + 0.548051i −0.957544 0.288287i \(-0.906914\pi\)
−0.548214 + 0.836338i \(0.684692\pi\)
\(770\) −11503.9 + 9494.52i −0.0194027 + <