Properties

Label 76.5.l.a.23.9
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 23.9
Character \(\chi\) \(=\) 76.23
Dual form 76.5.l.a.43.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.08499 - 2.54614i) q^{2} +(1.55169 - 0.273604i) q^{3} +(3.03431 + 15.7096i) q^{4} +(3.23088 - 2.71103i) q^{5} +(-5.48357 - 3.10675i) q^{6} +(-4.97171 - 2.87042i) q^{7} +(30.6382 - 56.1899i) q^{8} +(-73.7822 + 26.8545i) q^{9} +O(q^{10})\) \(q+(-3.08499 - 2.54614i) q^{2} +(1.55169 - 0.273604i) q^{3} +(3.03431 + 15.7096i) q^{4} +(3.23088 - 2.71103i) q^{5} +(-5.48357 - 3.10675i) q^{6} +(-4.97171 - 2.87042i) q^{7} +(30.6382 - 56.1899i) q^{8} +(-73.7822 + 26.8545i) q^{9} +(-16.8699 + 0.137212i) q^{10} +(-133.376 + 77.0048i) q^{11} +(9.00652 + 23.5463i) q^{12} +(-4.87717 + 27.6598i) q^{13} +(8.02917 + 21.5139i) q^{14} +(4.27157 - 5.09066i) q^{15} +(-237.586 + 95.3357i) 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} +(607.530 + 102.036i) q^{22} +(-509.778 + 607.530i) q^{23} +(32.1672 - 95.5718i) q^{24} +(-105.441 + 597.987i) q^{25} +(85.4718 - 72.9121i) q^{26} +(-217.666 + 125.670i) q^{27} +(30.0076 - 86.8136i) q^{28} +(722.448 - 262.950i) q^{29} +(-26.1393 + 4.82859i) q^{30} +(-881.441 - 508.900i) q^{31} +(975.688 + 310.818i) q^{32} +(-185.889 + 155.980i) q^{33} +(-1048.12 - 1781.76i) q^{34} +(-23.8448 + 4.20448i) q^{35} +(-645.753 - 1077.61i) q^{36} -1275.89 q^{37} +(1434.70 - 163.638i) q^{38} +44.2538i q^{39} +(-53.3440 - 264.604i) q^{40} +(-91.5083 - 518.969i) q^{41} +(18.3451 + 31.1860i) q^{42} +(658.218 + 784.433i) q^{43} +(-1614.42 - 1861.64i) q^{44} +(-165.578 + 286.790i) q^{45} +(3119.52 - 576.254i) q^{46} +(-855.180 - 2349.59i) q^{47} +(-342.575 + 212.936i) q^{48} +(-1184.02 - 2050.79i) q^{49} +(1847.85 - 1576.31i) q^{50} +(801.904 + 141.397i) q^{51} +(-449.324 + 7.30966i) q^{52} +(1569.71 + 1317.15i) q^{53} +(991.472 + 166.520i) 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} +(92.9337 + 51.6582i) q^{60} +(719.569 + 603.790i) q^{61} +(1423.50 + 3814.23i) q^{62} +(443.908 + 78.2729i) q^{63} +(-2218.60 - 3443.11i) q^{64} +(59.2290 + 102.588i) q^{65} +(970.614 - 7.89451i) q^{66} +(-2408.51 - 6617.32i) q^{67} +(-1303.20 + 8165.37i) q^{68} +(-624.793 + 1082.17i) q^{69} +(84.2662 + 47.7415i) q^{70} +(5808.88 + 6922.75i) q^{71} +(-751.604 + 4968.59i) q^{72} +(-76.9586 - 436.454i) q^{73} +(3936.10 + 3248.60i) q^{74} +956.738i q^{75} +(-4842.67 - 3148.12i) q^{76} +884.144 q^{77} +(112.676 - 136.522i) q^{78} +(5312.80 - 936.791i) q^{79} +(-509.154 + 952.121i) q^{80} +(4568.61 - 3833.52i) q^{81} +(-1039.07 + 1834.01i) q^{82} +(-5680.57 - 3279.68i) q^{83} +(22.8098 - 142.918i) q^{84} +(2048.19 - 745.481i) q^{85} +(-33.3140 - 4095.88i) q^{86} +(1049.07 - 605.681i) q^{87} +(240.478 + 9853.68i) q^{88} +(-1168.66 + 6627.77i) q^{89} +(1241.01 - 463.157i) q^{90} +(103.643 - 123.517i) q^{91} +(-11090.9 - 6165.00i) 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} +(-1568.90 + 9341.34i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.08499 2.54614i −0.771247 0.636536i
\(3\) 1.55169 0.273604i 0.172410 0.0304005i −0.0867768 0.996228i \(-0.527657\pi\)
0.259186 + 0.965827i \(0.416546\pi\)
\(4\) 3.03431 + 15.7096i 0.189644 + 0.981853i
\(5\) 3.23088 2.71103i 0.129235 0.108441i −0.575879 0.817535i \(-0.695340\pi\)
0.705114 + 0.709094i \(0.250896\pi\)
\(6\) −5.48357 3.10675i −0.152321 0.0862987i
\(7\) −4.97171 2.87042i −0.101463 0.0585800i 0.448410 0.893828i \(-0.351991\pi\)
−0.549873 + 0.835248i \(0.685324\pi\)
\(8\) 30.6382 56.1899i 0.478722 0.877966i
\(9\) −73.7822 + 26.8545i −0.910892 + 0.331537i
\(10\) −16.8699 + 0.137212i −0.168699 + 0.00137212i
\(11\) −133.376 + 77.0048i −1.10228 + 0.636404i −0.936820 0.349812i \(-0.886245\pi\)
−0.165464 + 0.986216i \(0.552912\pi\)
\(12\) 9.00652 + 23.5463i 0.0625453 + 0.163516i
\(13\) −4.87717 + 27.6598i −0.0288590 + 0.163667i −0.995831 0.0912139i \(-0.970925\pi\)
0.966972 + 0.254881i \(0.0820364\pi\)
\(14\) 8.02917 + 21.5139i 0.0409652 + 0.109765i
\(15\) 4.27157 5.09066i 0.0189847 0.0226251i
\(16\) −237.586 + 95.3357i −0.928070 + 0.372405i
\(17\) 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
\(22\) 607.530 + 102.036i 1.25523 + 0.210819i
\(23\) −509.778 + 607.530i −0.963663 + 1.14845i 0.0252089 + 0.999682i \(0.491975\pi\)
−0.988872 + 0.148767i \(0.952470\pi\)
\(24\) 32.1672 95.5718i 0.0558458 0.165923i
\(25\) −105.441 + 597.987i −0.168706 + 0.956779i
\(26\) 85.4718 72.9121i 0.126438 0.107858i
\(27\) −217.666 + 125.670i −0.298582 + 0.172387i
\(28\) 30.0076 86.8136i 0.0382750 0.110732i
\(29\) 722.448 262.950i 0.859035 0.312663i 0.125316 0.992117i \(-0.460005\pi\)
0.733718 + 0.679454i \(0.237783\pi\)
\(30\) −26.1393 + 4.82859i −0.0290436 + 0.00536510i
\(31\) −881.441 508.900i −0.917212 0.529553i −0.0344677 0.999406i \(-0.510974\pi\)
−0.882745 + 0.469853i \(0.844307\pi\)
\(32\) 975.688 + 310.818i 0.952821 + 0.303534i
\(33\) −185.889 + 155.980i −0.170697 + 0.143232i
\(34\) −1048.12 1781.76i −0.906674 1.54132i
\(35\) −23.8448 + 4.20448i −0.0194651 + 0.00343223i
\(36\) −645.753 1077.61i −0.498266 0.831488i
\(37\) −1275.89 −0.931987 −0.465993 0.884788i \(-0.654303\pi\)
−0.465993 + 0.884788i \(0.654303\pi\)
\(38\) 1434.70 163.638i 0.993558 0.113323i
\(39\) 44.2538i 0.0290952i
\(40\) −53.3440 264.604i −0.0333400 0.165377i
\(41\) −91.5083 518.969i −0.0544368 0.308727i 0.945416 0.325865i \(-0.105656\pi\)
−0.999853 + 0.0171384i \(0.994544\pi\)
\(42\) 18.3451 + 31.1860i 0.0103997 + 0.0176792i
\(43\) 658.218 + 784.433i 0.355986 + 0.424247i 0.914082 0.405529i \(-0.132913\pi\)
−0.558097 + 0.829776i \(0.688468\pi\)
\(44\) −1614.42 1861.64i −0.833896 0.961590i
\(45\) −165.578 + 286.790i −0.0817670 + 0.141625i
\(46\) 3119.52 576.254i 1.47425 0.272332i
\(47\) −855.180 2349.59i −0.387135 1.06364i −0.968285 0.249848i \(-0.919619\pi\)
0.581151 0.813796i \(-0.302603\pi\)
\(48\) −342.575 + 212.936i −0.148687 + 0.0924201i
\(49\) −1184.02 2050.79i −0.493137 0.854138i
\(50\) 1847.85 1576.31i 0.739138 0.630526i
\(51\) 801.904 + 141.397i 0.308306 + 0.0543627i
\(52\) −449.324 + 7.30966i −0.166170 + 0.00270328i
\(53\) 1569.71 + 1317.15i 0.558816 + 0.468902i 0.877913 0.478820i \(-0.158935\pi\)
−0.319098 + 0.947722i \(0.603380\pi\)
\(54\) 991.472 + 166.520i 0.340011 + 0.0571057i
\(55\) −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 \(0.240055\pi\)
−0.998431 + 0.0559941i \(0.982167\pi\)
\(60\) 92.9337 + 51.6582i 0.0258149 + 0.0143495i
\(61\) 719.569 + 603.790i 0.193380 + 0.162265i 0.734337 0.678785i \(-0.237493\pi\)
−0.540957 + 0.841051i \(0.681938\pi\)
\(62\) 1423.50 + 3814.23i 0.370318 + 0.992255i
\(63\) 443.908 + 78.2729i 0.111844 + 0.0197211i
\(64\) −2218.60 3443.11i −0.541650 0.840604i
\(65\) 59.2290 + 102.588i 0.0140187 + 0.0242811i
\(66\) 970.614 7.89451i 0.222822 0.00181233i
\(67\) −2408.51 6617.32i −0.536535 1.47412i −0.851162 0.524903i \(-0.824102\pi\)
0.314627 0.949215i \(-0.398121\pi\)
\(68\) −1303.20 + 8165.37i −0.281834 + 1.76587i
\(69\) −624.793 + 1082.17i −0.131232 + 0.227300i
\(70\) 84.2662 + 47.7415i 0.0171972 + 0.00974317i
\(71\) 5808.88 + 6922.75i 1.15233 + 1.37329i 0.915786 + 0.401668i \(0.131569\pi\)
0.236541 + 0.971622i \(0.423986\pi\)
\(72\) −751.604 + 4968.59i −0.144985 + 0.958447i
\(73\) −76.9586 436.454i −0.0144415 0.0819016i 0.976735 0.214449i \(-0.0687955\pi\)
−0.991177 + 0.132547i \(0.957684\pi\)
\(74\) 3936.10 + 3248.60i 0.718792 + 0.593243i
\(75\) 956.738i 0.170087i
\(76\) −4842.67 3148.12i −0.838413 0.545035i
\(77\) 884.144 0.149122
\(78\) 112.676 136.522i 0.0185201 0.0224396i
\(79\) 5312.80 936.791i 0.851275 0.150103i 0.269046 0.963127i \(-0.413292\pi\)
0.582229 + 0.813025i \(0.302181\pi\)
\(80\) −509.154 + 952.121i −0.0795553 + 0.148769i
\(81\) 4568.61 3833.52i 0.696328 0.584288i
\(82\) −1039.07 + 1834.01i −0.154531 + 0.272756i
\(83\) −5680.57 3279.68i −0.824585 0.476074i 0.0274101 0.999624i \(-0.491274\pi\)
−0.851995 + 0.523550i \(0.824607\pi\)
\(84\) 22.8098 142.918i 0.00323268 0.0202548i
\(85\) 2048.19 745.481i 0.283487 0.103181i
\(86\) −33.3140 4095.88i −0.00450432 0.553797i
\(87\) 1049.07 605.681i 0.138601 0.0800212i
\(88\) 240.478 + 9853.68i 0.0310535 + 1.27243i
\(89\) −1168.66 + 6627.77i −0.147539 + 0.836734i 0.817755 + 0.575567i \(0.195219\pi\)
−0.965294 + 0.261167i \(0.915893\pi\)
\(90\) 1241.01 463.157i 0.153212 0.0571799i
\(91\) 103.643 123.517i 0.0125158 0.0149157i
\(92\) −11090.9 6165.00i −1.31036 0.728379i
\(93\) −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 \(0.771842\pi\)
\(98\) −1568.90 + 9341.34i −0.163359 + 0.972651i
\(99\) 7772.87 9263.35i 0.793069 0.945143i
\(100\) −9714.10 + 158.030i −0.971410 + 0.0158030i
\(101\) 1952.07 11070.8i 0.191361 1.08526i −0.726145 0.687541i \(-0.758690\pi\)
0.917506 0.397721i \(-0.130199\pi\)
\(102\) −2113.85 2477.97i −0.203176 0.238175i
\(103\) 7222.23 4169.75i 0.680764 0.393039i −0.119379 0.992849i \(-0.538090\pi\)
0.800143 + 0.599809i \(0.204757\pi\)
\(104\) 1404.77 + 1121.49i 0.129879 + 0.103688i
\(105\) −35.8493 + 13.0481i −0.00325164 + 0.00118350i
\(106\) −1488.90 8060.09i −0.132512 0.717345i
\(107\) 7498.03 + 4328.99i 0.654907 + 0.378111i 0.790334 0.612677i \(-0.209907\pi\)
−0.135427 + 0.990787i \(0.543241\pi\)
\(108\) −2634.69 3038.14i −0.225883 0.260472i
\(109\) −9159.53 + 7685.76i −0.770939 + 0.646895i −0.940949 0.338548i \(-0.890064\pi\)
0.170010 + 0.985442i \(0.445620\pi\)
\(110\) 2239.48 1317.36i 0.185081 0.108873i
\(111\) −1979.78 + 349.089i −0.160684 + 0.0283328i
\(112\) 1454.86 + 207.990i 0.115981 + 0.0165808i
\(113\) 1309.87 0.102582 0.0512911 0.998684i \(-0.483666\pi\)
0.0512911 + 0.998684i \(0.483666\pi\)
\(114\) 2181.43 646.455i 0.167854 0.0497426i
\(115\) 3344.88i 0.252921i
\(116\) 6322.98 + 10551.5i 0.469900 + 0.784151i
\(117\) −382.942 2171.77i −0.0279745 0.158651i
\(118\) 9459.61 5564.58i 0.679375 0.399640i
\(119\) −1907.04 2272.73i −0.134669 0.160492i
\(120\) −155.170 395.987i −0.0107757 0.0274991i
\(121\) 4538.99 7861.76i 0.310019 0.536969i
\(122\) −682.525 3694.81i −0.0458563 0.248240i
\(123\) −283.985 780.241i −0.0187709 0.0515726i
\(124\) 5320.08 15391.3i 0.345999 1.00099i
\(125\) 2598.50 + 4500.73i 0.166304 + 0.288047i
\(126\) −1170.16 1371.72i −0.0737060 0.0864024i
\(127\) 4656.05 + 820.988i 0.288676 + 0.0509013i 0.316111 0.948722i \(-0.397623\pi\)
−0.0274351 + 0.999624i \(0.508734\pi\)
\(128\) −1922.31 + 16270.8i −0.117329 + 0.993093i
\(129\) 1235.97 + 1037.10i 0.0742727 + 0.0623222i
\(130\) 78.4821 467.287i 0.00464391 0.0276501i
\(131\) 1431.14 3932.01i 0.0833946 0.229125i −0.890986 0.454031i \(-0.849985\pi\)
0.974380 + 0.224906i \(0.0722076\pi\)
\(132\) −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
\(136\) 24810.6 21871.9i 1.34140 1.18252i
\(137\) 13624.7 + 11432.5i 0.725914 + 0.609114i 0.929014 0.370044i \(-0.120657\pi\)
−0.203100 + 0.979158i \(0.565102\pi\)
\(138\) 4682.85 1747.68i 0.245896 0.0917706i
\(139\) −23495.8 4142.95i −1.21608 0.214427i −0.471441 0.881898i \(-0.656266\pi\)
−0.744636 + 0.667471i \(0.767377\pi\)
\(140\) −138.403 361.836i −0.00706139 0.0184610i
\(141\) −1969.83 3411.85i −0.0990811 0.171613i
\(142\) −294.001 36146.8i −0.0145805 1.79264i
\(143\) −1479.44 4064.72i −0.0723477 0.198774i
\(144\) 14969.4 13414.3i 0.721905 0.646911i
\(145\) 1621.28 2808.14i 0.0771120 0.133562i
\(146\) −873.857 + 1542.40i −0.0409954 + 0.0723589i
\(147\) −2398.34 2858.22i −0.110988 0.132270i
\(148\) −3871.44 20043.8i −0.176746 0.915074i
\(149\) −2226.67 12628.1i −0.100296 0.568806i −0.992995 0.118154i \(-0.962303\pi\)
0.892700 0.450652i \(-0.148809\pi\)
\(150\) 2435.99 2951.53i 0.108266 0.131179i
\(151\) 22662.1i 0.993906i 0.867777 + 0.496953i \(0.165548\pi\)
−0.867777 + 0.496953i \(0.834452\pi\)
\(152\) 6924.01 + 22042.1i 0.299689 + 0.954037i
\(153\) −40577.4 −1.73341
\(154\) −2727.58 2251.16i −0.115010 0.0949215i
\(155\) −4227.48 + 745.418i −0.175962 + 0.0310268i
\(156\) −695.211 + 134.279i −0.0285672 + 0.00551773i
\(157\) −16700.6 + 14013.4i −0.677536 + 0.568520i −0.915285 0.402807i \(-0.868035\pi\)
0.237750 + 0.971326i \(0.423590\pi\)
\(158\) −18775.1 10637.2i −0.752089 0.426101i
\(159\) 2796.08 + 1614.32i 0.110600 + 0.0638550i
\(160\) 3994.97 1640.90i 0.156054 0.0640978i
\(161\) 4278.33 1557.19i 0.165053 0.0600743i
\(162\) −23854.8 + 194.023i −0.908961 + 0.00739306i
\(163\) −22117.5 + 12769.6i −0.832456 + 0.480618i −0.854693 0.519134i \(-0.826254\pi\)
0.0222371 + 0.999753i \(0.492921\pi\)
\(164\) 7875.16 3012.27i 0.292801 0.111997i
\(165\) −177.721 + 1007.90i −0.00652785 + 0.0370213i
\(166\) 9173.95 + 24581.3i 0.332920 + 0.892049i
\(167\) −4082.77 + 4865.66i −0.146394 + 0.174465i −0.834258 0.551374i \(-0.814104\pi\)
0.687865 + 0.725839i \(0.258548\pi\)
\(168\) −434.257 + 382.822i −0.0153861 + 0.0135637i
\(169\) 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 \(0.430812\pi\)
\(174\) −4778.52 802.565i −0.157832 0.0265083i
\(175\) 2240.70 2670.36i 0.0731656 0.0871953i
\(176\) 24347.0 31010.8i 0.785996 1.00112i
\(177\) −750.697 + 4257.41i −0.0239617 + 0.135894i
\(178\) 20480.6 17471.0i 0.646400 0.551415i
\(179\) −27520.8 + 15889.1i −0.858924 + 0.495900i −0.863652 0.504089i \(-0.831829\pi\)
0.00472755 + 0.999989i \(0.498495\pi\)
\(180\) −5007.78 1730.97i −0.154561 0.0534249i
\(181\) 37449.1 13630.4i 1.14310 0.416055i 0.300069 0.953918i \(-0.402990\pi\)
0.843032 + 0.537863i \(0.180768\pi\)
\(182\) −634.230 + 117.158i −0.0191471 + 0.00353696i
\(183\) 1281.74 + 740.016i 0.0382736 + 0.0220973i
\(184\) 18518.3 + 47258.0i 0.546973 + 1.39585i
\(185\) −4122.25 + 3458.98i −0.120446 + 0.101066i
\(186\) 3252.42 + 5529.01i 0.0940114 + 0.159817i
\(187\) −78382.2 + 13820.9i −2.24148 + 0.395233i
\(188\) 34316.3 20564.0i 0.970924 0.581823i
\(189\) 1442.90 0.0403936
\(190\) 4191.71 4418.21i 0.116114 0.122388i
\(191\) 69700.9i 1.91061i 0.295624 + 0.955304i \(0.404472\pi\)
−0.295624 + 0.955304i \(0.595528\pi\)
\(192\) −4384.62 4735.62i −0.118941 0.128462i
\(193\) 6188.82 + 35098.6i 0.166147 + 0.942268i 0.947874 + 0.318647i \(0.103228\pi\)
−0.781726 + 0.623622i \(0.785661\pi\)
\(194\) 18462.8 + 31386.2i 0.490562 + 0.833940i
\(195\) 119.973 + 142.979i 0.00315512 + 0.00376012i
\(196\) 28624.4 24823.3i 0.745117 0.646170i
\(197\) −25000.2 + 43301.6i −0.644186 + 1.11576i 0.340303 + 0.940316i \(0.389470\pi\)
−0.984489 + 0.175446i \(0.943863\pi\)
\(198\) −47565.0 + 8786.47i −1.21327 + 0.224122i
\(199\) 6138.95 + 16866.6i 0.155020 + 0.425914i 0.992754 0.120165i \(-0.0383422\pi\)
−0.837734 + 0.546079i \(0.816120\pi\)
\(200\) 30370.3 + 24246.0i 0.759256 + 0.606149i
\(201\) −5547.78 9609.03i −0.137318 0.237841i
\(202\) −34209.9 + 29182.9i −0.838396 + 0.715198i
\(203\) −4346.58 766.419i −0.105476 0.0185983i
\(204\) 211.919 + 13026.7i 0.00509226 + 0.313021i
\(205\) −1702.59 1428.65i −0.0405139 0.0339952i
\(206\) −32897.3 5525.18i −0.775221 0.130200i
\(207\) 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 \(-0.766037\pi\)
0.999320 0.0368761i \(-0.0117407\pi\)
\(212\) −15928.9 + 28656.3i −0.354417 + 0.637599i
\(213\) 10907.7 + 9152.61i 0.240421 + 0.201737i
\(214\) −12109.1 32445.9i −0.264414 0.708488i
\(215\) 4253.25 + 749.962i 0.0920118 + 0.0162242i
\(216\) 392.454 + 16080.9i 0.00841164 + 0.344670i
\(217\) 2921.51 + 5060.21i 0.0620424 + 0.107461i
\(218\) 47826.1 388.995i 1.00636 0.00818523i
\(219\) −238.831 656.183i −0.00497970 0.0136816i
\(220\) −10263.0 1637.98i −0.212045 0.0338426i
\(221\) −7257.47 + 12570.3i −0.148594 + 0.257372i
\(222\) 6996.44 + 3963.87i 0.141962 + 0.0804292i
\(223\) 61746.1 + 73586.1i 1.24165 + 1.47974i 0.819356 + 0.573284i \(0.194331\pi\)
0.422295 + 0.906458i \(0.361225\pi\)
\(224\) −3958.66 4345.93i −0.0788955 0.0866138i
\(225\) −8278.97 46952.4i −0.163535 0.927454i
\(226\) −4040.94 3335.12i −0.0791162 0.0652972i
\(227\) 51545.0i 1.00031i −0.865935 0.500156i \(-0.833276\pi\)
0.865935 0.500156i \(-0.166724\pi\)
\(228\) −8375.66 3559.93i −0.161120 0.0684812i
\(229\) −41174.4 −0.785157 −0.392579 0.919718i \(-0.628417\pi\)
−0.392579 + 0.919718i \(0.628417\pi\)
\(230\) 8516.55 10318.9i 0.160993 0.195065i
\(231\) 1371.92 241.906i 0.0257101 0.00453338i
\(232\) 7359.43 48650.6i 0.136731 0.903883i
\(233\) 13306.9 11165.8i 0.245112 0.205673i −0.511952 0.859014i \(-0.671077\pi\)
0.757064 + 0.653341i \(0.226633\pi\)
\(234\) −4348.28 + 7674.93i −0.0794119 + 0.140166i
\(235\) −9132.79 5272.82i −0.165374 0.0954789i
\(236\) −43351.0 6918.87i −0.778351 0.124226i
\(237\) 7987.50 2907.21i 0.142205 0.0517583i
\(238\) 96.5201 + 11866.9i 0.00170398 + 0.209500i
\(239\) 51535.6 29754.1i 0.902217 0.520895i 0.0242984 0.999705i \(-0.492265\pi\)
0.877919 + 0.478809i \(0.158931\pi\)
\(240\) −529.543 + 1616.70i −0.00919346 + 0.0280677i
\(241\) −5007.68 + 28400.0i −0.0862190 + 0.488972i 0.910868 + 0.412698i \(0.135414\pi\)
−0.997087 + 0.0762741i \(0.975698\pi\)
\(242\) −34019.9 + 12696.5i −0.580901 + 0.216797i
\(243\) 19126.4 22793.9i 0.323907 0.386017i
\(244\) −7301.93 + 13136.2i −0.122647 + 0.220644i
\(245\) −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
\(250\) 3443.17 20500.8i 0.0550907 0.328014i
\(251\) 65199.0 77701.2i 1.03489 1.23333i 0.0629703 0.998015i \(-0.479943\pi\)
0.971919 0.235317i \(-0.0756129\pi\)
\(252\) 117.312 + 7211.14i 0.00184731 + 0.113554i
\(253\) 21209.6 120285.i 0.331353 1.87920i
\(254\) −12273.5 14387.7i −0.190240 0.223010i
\(255\) 2974.19 1717.15i 0.0457391 0.0264075i
\(256\) 47358.2 45300.9i 0.722629 0.691236i
\(257\) −92756.7 + 33760.7i −1.40436 + 0.511146i −0.929470 0.368899i \(-0.879735\pi\)
−0.474892 + 0.880044i \(0.657513\pi\)
\(258\) −1172.34 6346.42i −0.0176123 0.0953431i
\(259\) 6343.36 + 3662.34i 0.0945626 + 0.0545958i
\(260\) −1431.90 + 1241.75i −0.0211819 + 0.0183691i
\(261\) −46242.5 + 38802.0i −0.678828 + 0.569604i
\(262\) −14426.5 + 8486.34i −0.210164 + 0.123628i
\(263\) 90070.4 15881.8i 1.30218 0.229609i 0.520806 0.853675i \(-0.325631\pi\)
0.781372 + 0.624066i \(0.214520\pi\)
\(264\) 3069.16 + 15224.0i 0.0440364 + 0.218435i
\(265\) 8642.38 0.123067
\(266\) −7602.62 3304.62i −0.107448 0.0467045i
\(267\) 10604.0i 0.148746i
\(268\) 96647.6 57915.7i 1.34562 0.806356i
\(269\) −21020.4 119213.i −0.290494 1.64747i −0.684972 0.728569i \(-0.740186\pi\)
0.394478 0.918905i \(-0.370925\pi\)
\(270\) 3654.77 2149.90i 0.0501340 0.0294911i
\(271\) −7598.49 9055.53i −0.103464 0.123303i 0.711828 0.702354i \(-0.247868\pi\)
−0.815291 + 0.579051i \(0.803423\pi\)
\(272\) −132229. + 4303.39i −1.78727 + 0.0581665i
\(273\) 127.027 220.017i 0.00170439 0.00295210i
\(274\) −12923.3 69959.4i −0.172136 0.931848i
\(275\) −31984.5 87876.7i −0.422936 1.16201i
\(276\) −18896.4 6531.64i −0.248062 0.0857440i
\(277\) −7983.08 13827.1i −0.104042 0.180207i 0.809304 0.587390i \(-0.199844\pi\)
−0.913347 + 0.407183i \(0.866511\pi\)
\(278\) 61935.8 + 72604.7i 0.801405 + 0.939453i
\(279\) 78701.0 + 13877.1i 1.01105 + 0.178275i
\(280\) −494.313 + 1468.65i −0.00630501 + 0.0187328i
\(281\) −4098.94 3439.42i −0.0519109 0.0435584i 0.616463 0.787384i \(-0.288565\pi\)
−0.668374 + 0.743825i \(0.733009\pi\)
\(282\) −2610.15 + 15541.0i −0.0328221 + 0.195425i
\(283\) −21648.3 + 59478.2i −0.270303 + 0.742651i 0.728063 + 0.685510i \(0.240421\pi\)
−0.998366 + 0.0571412i \(0.981801\pi\)
\(284\) −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
\(288\) −80335.3 + 3268.78i −0.968549 + 0.0394095i
\(289\) 140612. + 117987.i 1.68355 + 1.41267i
\(290\) −12151.6 + 4535.06i −0.144489 + 0.0539247i
\(291\) −14125.7 2490.75i −0.166811 0.0294133i
\(292\) 6623.02 2533.33i 0.0776766 0.0297115i
\(293\) 11190.5 + 19382.6i 0.130352 + 0.225775i 0.923812 0.382846i \(-0.125056\pi\)
−0.793461 + 0.608622i \(0.791723\pi\)
\(294\) 121.386 + 14924.1i 0.00140434 + 0.172661i
\(295\) 3957.86 + 10874.1i 0.0454795 + 0.124954i
\(296\) −39091.0 + 71692.0i −0.446163 + 0.818253i
\(297\) 19354.4 33522.7i 0.219415 0.380038i
\(298\) −25283.6 + 44626.8i −0.284713 + 0.502532i
\(299\) −14317.9 17063.4i −0.160153 0.190863i
\(300\) −15030.0 + 2903.03i −0.167000 + 0.0322559i
\(301\) −1020.82 5789.34i −0.0112672 0.0638993i
\(302\) 57700.9 69912.2i 0.632657 0.766547i
\(303\) 17712.5i 0.192927i
\(304\) 34761.8 85629.1i 0.376145 0.926561i
\(305\) 3961.73 0.0425878
\(306\) 125181. + 103316.i 1.33689 + 1.10338i
\(307\) −91968.0 + 16216.4i −0.975798 + 0.172059i −0.638739 0.769424i \(-0.720543\pi\)
−0.337059 + 0.941483i \(0.609432\pi\)
\(308\) 2682.76 + 13889.6i 0.0282801 + 0.146416i
\(309\) 10065.8 8446.19i 0.105422 0.0884594i
\(310\) 14939.7 + 8464.15i 0.155459 + 0.0880765i
\(311\) 113446. + 65498.4i 1.17293 + 0.677189i 0.954367 0.298635i \(-0.0965315\pi\)
0.218558 + 0.975824i \(0.429865\pi\)
\(312\) 2486.61 + 1355.86i 0.0255446 + 0.0139285i
\(313\) 42856.2 15598.4i 0.437447 0.159218i −0.113903 0.993492i \(-0.536335\pi\)
0.551350 + 0.834274i \(0.314113\pi\)
\(314\) 87201.3 709.254i 0.884431 0.00719354i
\(315\) 1646.41 950.557i 0.0165927 0.00957982i
\(316\) 30837.3 + 80619.8i 0.308818 + 0.807360i
\(317\) −25088.5 + 142284.i −0.249664 + 1.41592i 0.559742 + 0.828667i \(0.310900\pi\)
−0.809406 + 0.587249i \(0.800211\pi\)
\(318\) −4515.59 12099.4i −0.0446540 0.119649i
\(319\) −76109.1 + 90703.3i −0.747920 + 0.891336i
\(320\) −16502.4 5109.60i −0.161156 0.0498985i
\(321\) 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
\(326\) 100745. + 16920.4i 0.947960 + 0.159212i
\(327\) −12109.9 + 14432.0i −0.113251 + 0.134968i
\(328\) −31964.5 10758.5i −0.297112 0.100001i
\(329\) −2492.59 + 14136.2i −0.0230282 + 0.130599i
\(330\) 3114.54 2656.87i 0.0286000 0.0243973i
\(331\) −53250.5 + 30744.2i −0.486035 + 0.280613i −0.722928 0.690923i \(-0.757204\pi\)
0.236893 + 0.971536i \(0.423871\pi\)
\(332\) 34286.0 99191.2i 0.311057 0.899906i
\(333\) 94138.0 34263.4i 0.848939 0.308988i
\(334\) 24984.0 4615.17i 0.223959 0.0413709i
\(335\) −25721.3 14850.2i −0.229194 0.132325i
\(336\) 2314.40 75.3218i 0.0205003 0.000667179i
\(337\) −87499.2 + 73420.5i −0.770449 + 0.646484i −0.940824 0.338895i \(-0.889947\pi\)
0.170375 + 0.985379i \(0.445502\pi\)
\(338\) −56324.9 95750.6i −0.493023 0.838124i
\(339\) 2032.51 358.387i 0.0176862 0.00311855i
\(340\) 17926.1 + 29914.4i 0.155070 + 0.258775i
\(341\) 156751. 1.34804
\(342\) −101461. + 50601.8i −0.867453 + 0.432627i
\(343\) 27378.3i 0.232712i
\(344\) 64243.8 12951.5i 0.542893 0.109447i
\(345\) 915.174 + 5190.21i 0.00768892 + 0.0436060i
\(346\) −65145.0 110744.i −0.544163 0.925060i
\(347\) −24050.9 28662.8i −0.199744 0.238045i 0.656870 0.754004i \(-0.271880\pi\)
−0.856613 + 0.515959i \(0.827436\pi\)
\(348\) 12698.2 + 14642.7i 0.104854 + 0.120910i
\(349\) −116402. + 201613.i −0.955670 + 1.65527i −0.222842 + 0.974855i \(0.571533\pi\)
−0.732828 + 0.680414i \(0.761800\pi\)
\(350\) −13711.6 + 2532.89i −0.111932 + 0.0206766i
\(351\) −2414.40 6633.52i −0.0195973 0.0538431i
\(352\) −154068. + 33676.9i −1.24345 + 0.271798i
\(353\) −121818. 210995.i −0.977602 1.69326i −0.671065 0.741398i \(-0.734163\pi\)
−0.306537 0.951859i \(-0.599170\pi\)
\(354\) 13155.9 11222.7i 0.104982 0.0895551i
\(355\) 37535.6 + 6618.54i 0.297842 + 0.0525176i
\(356\) −107666. + 1751.52i −0.849530 + 0.0138203i
\(357\) −3580.96 3004.79i −0.0280972 0.0235764i
\(358\) 125357. + 21054.1i 0.978101 + 0.164275i
\(359\) 17951.3 49320.8i 0.139286 0.382685i −0.850363 0.526197i \(-0.823617\pi\)
0.989649 + 0.143512i \(0.0458397\pi\)
\(360\) 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
\(364\) 2254.89 + 1253.41i 0.0170186 + 0.00945996i
\(365\) −1431.88 1201.49i −0.0107479 0.00901852i
\(366\) −2069.98 5546.45i −0.0154527 0.0414050i
\(367\) −39593.6 6981.42i −0.293963 0.0518337i 0.0247216 0.999694i \(-0.492130\pi\)
−0.318685 + 0.947861i \(0.603241\pi\)
\(368\) 63196.8 192941.i 0.466659 1.42471i
\(369\) 20688.4 + 35833.3i 0.151941 + 0.263169i
\(370\) 21524.1 175.067i 0.157225 0.00127880i
\(371\) −4023.40 11054.2i −0.0292311 0.0803118i
\(372\) 4043.98 25338.1i 0.0292229 0.183100i
\(373\) −37266.6 + 64547.6i −0.267856 + 0.463941i −0.968308 0.249759i \(-0.919649\pi\)
0.700452 + 0.713700i \(0.252982\pi\)
\(374\) 276998. + 156935.i 1.98031 + 1.12196i
\(375\) 5263.48 + 6272.77i 0.0374292 + 0.0446063i
\(376\) −158224. 23934.8i −1.11917 0.169299i
\(377\) 3749.63 + 21265.2i 0.0263819 + 0.149619i
\(378\) −4451.33 3673.83i −0.0311534 0.0257120i
\(379\) 10968.1i 0.0763574i 0.999271 + 0.0381787i \(0.0121556\pi\)
−0.999271 + 0.0381787i \(0.987844\pi\)
\(380\) −24180.8 + 2957.42i −0.167457 + 0.0204808i
\(381\) 7449.36 0.0513179
\(382\) 177469. 215026.i 1.21617 1.47355i
\(383\) −15887.5 + 2801.39i −0.108307 + 0.0190975i −0.227539 0.973769i \(-0.573068\pi\)
0.119232 + 0.992866i \(0.461957\pi\)
\(384\) 1468.94 + 25773.2i 0.00996192 + 0.174786i
\(385\) 2856.57 2396.94i 0.0192718 0.0161710i
\(386\) 70273.5 124036.i 0.471647 0.832480i
\(387\) −69630.4 40201.1i −0.464918 0.268421i
\(388\) 22956.2 143835.i 0.152488 0.955434i
\(389\) −15108.0 + 5498.88i −0.0998410 + 0.0363392i −0.391458 0.920196i \(-0.628029\pi\)
0.291617 + 0.956535i \(0.405807\pi\)
\(390\) −6.07214 746.557i −3.99220e−5 0.00490833i
\(391\) −354946. + 204928.i −2.32171 + 1.34044i
\(392\) −151510. + 3697.57i −0.985980 + 0.0240627i
\(393\) 1144.86 6492.82i 0.00741254 0.0420386i
\(394\) 187377. 69930.9i 1.20705 0.450481i
\(395\) 14625.4 17429.8i 0.0937374 0.111712i
\(396\) 169109. + 94001.2i 1.07839 + 0.599436i
\(397\) 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 \(0.568827\pi\)
\(402\) −7351.15 + 43769.2i −0.0454886 + 0.270842i
\(403\) 18375.0 21898.5i 0.113140 0.134835i
\(404\) 179841. 2925.68i 1.10186 0.0179252i
\(405\) 4367.84 24771.3i 0.0266291 0.151021i
\(406\) 11457.7 + 13431.4i 0.0695099 + 0.0814835i
\(407\) 170173. 98249.7i 1.02731 0.593120i
\(408\) 32514.0 40726.7i 0.195321 0.244658i
\(409\) 6658.92 2423.65i 0.0398068 0.0144885i −0.322040 0.946726i \(-0.604369\pi\)
0.361847 + 0.932238i \(0.382146\pi\)
\(410\) 1614.95 + 8742.41i 0.00960705 + 0.0520072i
\(411\) 24269.2 + 14011.8i 0.143672 + 0.0829491i
\(412\) 87419.8 + 100806.i 0.515010 + 0.593873i
\(413\) 12066.2 10124.7i 0.0707409 0.0593587i
\(414\) −214690. + 126290.i −1.25260 + 0.736834i
\(415\) −27244.5 + 4803.95i −0.158192 + 0.0278934i
\(416\) −13355.8 + 25471.4i −0.0771760 + 0.147186i
\(417\) −37591.7 −0.216182
\(418\) −178754. + 132304.i −1.02306 + 0.757218i
\(419\) 177140.i 1.00899i −0.863414 0.504496i \(-0.831678\pi\)
0.863414 0.504496i \(-0.168322\pi\)
\(420\) −313.759 523.588i −0.00177868 0.00296819i
\(421\) −42942.1 243537.i −0.242281 1.37404i −0.826724 0.562608i \(-0.809798\pi\)
0.584443 0.811434i \(-0.301313\pi\)
\(422\) −115564. + 67980.0i −0.648929 + 0.381730i
\(423\) 126194. + 150392.i 0.705275 + 0.840515i
\(424\) 122103. 47846.9i 0.679198 0.266148i
\(425\) −156902. + 271762.i −0.868661 + 1.50456i
\(426\) −10346.1 56008.2i −0.0570110 0.308626i
\(427\) −1844.36 5067.33i −0.0101155 0.0277922i
\(428\) −45255.6 + 130927.i −0.247050 + 0.714728i
\(429\) −3407.75 5902.40i −0.0185163 0.0320711i
\(430\) −11211.7 13143.0i −0.0606366 0.0710817i
\(431\) 223796. + 39461.3i 1.20475 + 0.212430i 0.739752 0.672880i \(-0.234943\pi\)
0.465001 + 0.885310i \(0.346054\pi\)
\(432\) 39733.7 50608.8i 0.212908 0.271180i
\(433\) 113018. + 94833.3i 0.602798 + 0.505807i 0.892344 0.451357i \(-0.149060\pi\)
−0.289546 + 0.957164i \(0.593504\pi\)
\(434\) 3871.19 23049.3i 0.0205525 0.122371i
\(435\) 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 \(-0.756775\pi\)
0.997824 0.0659348i \(-0.0210029\pi\)
\(440\) 27490.6 + 31184.1i 0.141997 + 0.161075i
\(441\) 142433. + 119515.i 0.732373 + 0.614534i
\(442\) 54395.0 20300.7i 0.278429 0.103912i
\(443\) −131544. 23194.8i −0.670291 0.118190i −0.171862 0.985121i \(-0.554978\pi\)
−0.498429 + 0.866931i \(0.666090\pi\)
\(444\) −11491.3 30042.4i −0.0582914 0.152394i
\(445\) 14192.3 + 24581.8i 0.0716693 + 0.124135i
\(446\) −3125.12 384227.i −0.0157107 1.93160i
\(447\) −6910.18 18985.6i −0.0345840 0.0950186i
\(448\) 1147.05 + 23486.5i 0.00571515 + 0.117020i
\(449\) 161167. 279149.i 0.799433 1.38466i −0.120552 0.992707i \(-0.538466\pi\)
0.919986 0.391952i \(-0.128200\pi\)
\(450\) −94007.0 + 165927.i −0.464232 + 0.819392i
\(451\) 52168.2 + 62171.6i 0.256480 + 0.305660i
\(452\) 3974.55 + 20577.6i 0.0194541 + 0.100721i
\(453\) 6200.44 + 35164.4i 0.0302152 + 0.171359i
\(454\) −131241. + 159016.i −0.636734 + 0.771487i
\(455\) 680.048i 0.00328486i
\(456\) 16774.7 + 32308.0i 0.0806725 + 0.155375i
\(457\) −148549. −0.711275 −0.355637 0.934624i \(-0.615736\pi\)
−0.355637 + 0.934624i \(0.615736\pi\)
\(458\) 127023. + 104836.i 0.605550 + 0.499781i
\(459\) −127918. + 22555.3i −0.607162 + 0.107059i
\(460\) −52546.9 + 10149.4i −0.248331 + 0.0479650i
\(461\) −207797. + 174362.i −0.977771 + 0.820447i −0.983752 0.179535i \(-0.942541\pi\)
0.00598061 + 0.999982i \(0.498096\pi\)
\(462\) −4848.27 2746.82i −0.0227145 0.0128690i
\(463\) 217643. + 125656.i 1.01527 + 0.586167i 0.912731 0.408562i \(-0.133969\pi\)
0.102541 + 0.994729i \(0.467303\pi\)
\(464\) −146575. + 131348.i −0.680807 + 0.610082i
\(465\) −6355.77 + 2313.31i −0.0293943 + 0.0106986i
\(466\) −69481.4 + 565.128i −0.319961 + 0.00260241i
\(467\) 77403.5 44689.0i 0.354917 0.204912i −0.311932 0.950105i \(-0.600976\pi\)
0.666849 + 0.745193i \(0.267643\pi\)
\(468\) 32955.8 12605.7i 0.150467 0.0575540i
\(469\) −7020.07 + 39812.8i −0.0319151 + 0.180999i
\(470\) 14749.2 + 39520.0i 0.0667687 + 0.178904i
\(471\) −22079.9 + 26313.8i −0.0995304 + 0.118616i
\(472\) 116121. + 131723.i 0.521227 + 0.591257i
\(473\) −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
\(478\) −234745. 39426.0i −1.02740 0.172555i
\(479\) 104854. 124960.i 0.456999 0.544630i −0.487510 0.873118i \(-0.662095\pi\)
0.944508 + 0.328488i \(0.106539\pi\)
\(480\) 5749.99 3639.21i 0.0249566 0.0157952i
\(481\) 6222.73 35290.8i 0.0268962 0.152536i
\(482\) 87759.1 74863.3i 0.377744 0.322237i
\(483\) 6212.58 3586.84i 0.0266304 0.0153751i
\(484\) 137278. + 47450.9i 0.586017 + 0.202560i
\(485\) −36079.4 + 13131.8i −0.153382 + 0.0558267i
\(486\) −117041. + 21620.5i −0.495526 + 0.0915363i
\(487\) −56553.1 32651.0i −0.238451 0.137670i 0.376014 0.926614i \(-0.377295\pi\)
−0.614464 + 0.788944i \(0.710628\pi\)
\(488\) 55973.2 21933.4i 0.235039 0.0921014i
\(489\) −30825.7 + 25865.8i −0.128912 + 0.108170i
\(490\) 20255.7 + 34434.1i 0.0843637 + 0.143416i
\(491\) 120513. 21249.6i 0.499885 0.0881432i 0.0819799 0.996634i \(-0.473876\pi\)
0.417905 + 0.908491i \(0.362765\pi\)
\(492\) 11395.6 6828.79i 0.0470769 0.0282107i
\(493\) 397319. 1.63473
\(494\) −2471.06 + 40481.5i −0.0101258 + 0.165883i
\(495\) 51001.3i 0.208147i
\(496\) 257934. + 36874.7i 1.04845 + 0.149888i
\(497\) −9008.87 51091.8i −0.0364718 0.206842i
\(498\) 20960.7 + 35632.5i 0.0845174 + 0.143677i
\(499\) 81368.0 + 96970.6i 0.326778 + 0.389439i 0.904272 0.426956i \(-0.140414\pi\)
−0.577495 + 0.816394i \(0.695970\pi\)
\(500\) −62820.2 + 54478.1i −0.251281 + 0.217912i
\(501\) −5003.92 + 8667.05i −0.0199359 + 0.0345299i
\(502\) −398977. + 73701.1i −1.58322 + 0.292460i
\(503\) 46235.0 + 127030.i 0.182740 + 0.502075i 0.996910 0.0785520i \(-0.0250297\pi\)
−0.814170 + 0.580627i \(0.802807\pi\)
\(504\) 17998.7 22545.0i 0.0708565 0.0887541i
\(505\) −23706.3 41060.5i −0.0929567 0.161006i
\(506\) −371695. + 317076.i −1.45173 + 1.23841i
\(507\) 43093.7 + 7598.58i 0.167648 + 0.0295608i
\(508\) 1230.46 + 75636.1i 0.00476803 + 0.293090i
\(509\) −71871.1 60307.0i −0.277408 0.232773i 0.493459 0.869769i \(-0.335732\pi\)
−0.770867 + 0.636996i \(0.780177\pi\)
\(510\) −13547.4 2275.33i −0.0520855 0.00874790i
\(511\) −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
\(516\) −12542.2 + 22563.6i −0.0471059 + 0.0847439i
\(517\) 294990. + 247526.i 1.10364 + 0.926063i
\(518\) −10244.3 27449.4i −0.0381790 0.102299i
\(519\) 49841.8 + 8788.46i 0.185037 + 0.0326271i
\(520\) 7579.05 184.966i 0.0280290 0.000684046i
\(521\) 144668. + 250572.i 0.532962 + 0.923118i 0.999259 + 0.0384893i \(0.0122546\pi\)
−0.466297 + 0.884628i \(0.654412\pi\)
\(522\) 241453. 1963.86i 0.886118 0.00720726i
\(523\) 143550. + 394400.i 0.524807 + 1.44190i 0.865111 + 0.501580i \(0.167248\pi\)
−0.340304 + 0.940315i \(0.610530\pi\)
\(524\) 66113.0 + 10551.7i 0.240782 + 0.0384291i
\(525\) 2746.24 4756.62i 0.00996368 0.0172576i
\(526\) −318304. 180337.i −1.15046 0.651798i
\(527\) −338102. 402935.i −1.21738 1.45082i
\(528\) 29294.3 54780.5i 0.105079 0.196498i
\(529\) −60624.9 343821.i −0.216641 1.22863i
\(530\) −26661.6 22004.7i −0.0949150 0.0783365i
\(531\) 215431.i 0.764044i
\(532\) 15039.9 + 29552.1i 0.0531402 + 0.104415i
\(533\) 14800.9 0.0520995
\(534\) 26999.3 32713.2i 0.0946824 0.114720i
\(535\) 35961.3 6340.94i 0.125640 0.0221537i
\(536\) −445618. 67409.2i −1.55108 0.234633i
\(537\) −38356.3 + 32184.8i −0.133011 + 0.111610i
\(538\) −238685. + 421291.i −0.824634 + 1.45552i
\(539\) 315841. + 182351.i 1.08715 + 0.627668i
\(540\) −16748.9 2673.14i −0.0574379 0.00916714i
\(541\) −402895. + 146642.i −1.37657 + 0.501029i −0.921135 0.389242i \(-0.872737\pi\)
−0.455430 + 0.890271i \(0.650515\pi\)
\(542\) 384.578 + 47283.1i 0.00130914 + 0.160956i
\(543\) 54380.0 31396.3i 0.184434 0.106483i
\(544\) 418883. + 323399.i 1.41545 + 1.09280i
\(545\) −8757.02 + 49663.5i −0.0294824 + 0.167203i
\(546\) −952.071 + 355.321i −0.00319363 + 0.00119189i
\(547\) 139632. 166406.i 0.466669 0.556154i −0.480456 0.877019i \(-0.659529\pi\)
0.947125 + 0.320864i \(0.103973\pi\)
\(548\) −138259. + 248729.i −0.460395 + 0.828256i
\(549\) −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
\(554\) −10578.1 + 62982.5i −0.0344657 + 0.205211i
\(555\) −5450.05 + 6495.12i −0.0176935 + 0.0210863i
\(556\) −6209.25 381682.i −0.0200858 1.23467i
\(557\) 61531.4 348962.i 0.198329 1.12478i −0.709268 0.704939i \(-0.750975\pi\)
0.907597 0.419842i \(-0.137914\pi\)
\(558\) −207458. 243195.i −0.666289 0.781062i
\(559\) −24907.5 + 14380.3i −0.0797088 + 0.0460199i
\(560\) 5264.35 3272.19i 0.0167868 0.0104343i
\(561\) −117843. + 42891.4i −0.374437 + 0.136284i
\(562\) 3887.92 + 21047.0i 0.0123096 + 0.0666374i
\(563\) 159662. + 92180.6i 0.503713 + 0.290819i 0.730246 0.683185i \(-0.239406\pi\)
−0.226532 + 0.974004i \(0.572739\pi\)
\(564\) 47621.8 41297.9i 0.149709 0.129828i
\(565\) 4232.04 3551.10i 0.0132572 0.0111241i
\(566\) 218225. 128370.i 0.681195 0.400710i
\(567\) −33717.6 + 5945.32i −0.104879 + 0.0184931i
\(568\) 566962. 114299.i 1.75735 0.354280i
\(569\) 417016. 1.28804 0.644018 0.765010i \(-0.277266\pi\)
0.644018 + 0.765010i \(0.277266\pi\)
\(570\) 5295.38 8002.55i 0.0162985 0.0246308i
\(571\) 36299.2i 0.111333i 0.998449 + 0.0556666i \(0.0177284\pi\)
−0.998449 + 0.0556666i \(0.982272\pi\)
\(572\) 59366.3 35575.1i 0.181446 0.108731i
\(573\) 19070.5 + 108154.i 0.0580834 + 0.329407i
\(574\) 10430.3 6135.60i 0.0316573 0.0186223i
\(575\) −309543. 368899.i −0.936236 1.11576i
\(576\) 256156. + 194461.i 0.772076 + 0.586122i
\(577\) −82919.6 + 143621.i −0.249061 + 0.431386i −0.963266 0.268551i \(-0.913455\pi\)
0.714205 + 0.699937i \(0.246789\pi\)
\(578\) −133373. 722007.i −0.399220 2.16115i
\(579\) 19206.2 + 52768.7i 0.0572908 + 0.157405i
\(580\) 49034.3 + 16949.0i 0.145762 + 0.0503834i
\(581\) 18828.1 + 32611.2i 0.0557768 + 0.0966083i
\(582\) 37235.9 + 43650.0i 0.109930 + 0.128866i
\(583\) −310789. 54800.5i −0.914384 0.161231i
\(584\) −26882.1 9047.87i −0.0788203 0.0265290i
\(585\) −7124.99 5978.58i −0.0208196 0.0174697i
\(586\) 14828.2 88287.8i 0.0431810 0.257102i
\(587\) −100608. + 276418.i −0.291982 + 0.802215i 0.703794 + 0.710404i \(0.251488\pi\)
−0.995776 + 0.0918108i \(0.970734\pi\)
\(588\) 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
\(592\) 303133. 121638.i 0.864949 0.347077i
\(593\) 178497. + 149777.i 0.507599 + 0.425926i 0.860283 0.509816i \(-0.170287\pi\)
−0.352684 + 0.935742i \(0.614731\pi\)
\(594\) −145062. + 54138.3i −0.411131 + 0.153437i
\(595\) −12322.9 2172.85i −0.0348079 0.00613757i
\(596\) 191626. 73297.5i 0.539463 0.206346i
\(597\) 14140.5 + 24492.1i 0.0396749 + 0.0687190i
\(598\) 724.662 + 89095.7i 0.00202644 + 0.249146i
\(599\) −85734.3 235553.i −0.238947 0.656500i −0.999970 0.00777574i \(-0.997525\pi\)
0.761023 0.648725i \(-0.224697\pi\)
\(600\) 53759.0 + 29312.7i 0.149330 + 0.0814243i
\(601\) 153194. 265339.i 0.424123 0.734603i −0.572215 0.820104i \(-0.693916\pi\)
0.996338 + 0.0855010i \(0.0272491\pi\)
\(602\) −11591.3 + 20459.2i −0.0319844 + 0.0564541i
\(603\) 355410. + 423561.i 0.977451 + 1.16488i
\(604\) −356013. + 68763.6i −0.975870 + 0.188488i
\(605\) −6648.54 37705.7i −0.0181642 0.103014i
\(606\) −45098.5 + 54642.8i −0.122805 + 0.148795i
\(607\) 414698.i 1.12552i −0.826619 0.562762i \(-0.809739\pi\)
0.826619 0.562762i \(-0.190261\pi\)
\(608\) −325264. + 175656.i −0.879890 + 0.475178i
\(609\) −6954.23 −0.0187506
\(610\) −12221.9 10087.1i −0.0328457 0.0271087i
\(611\) 69160.0 12194.8i 0.185256 0.0326656i
\(612\) −123124. 637456.i −0.328731 1.70195i
\(613\) −140365. + 117781.i −0.373542 + 0.313439i −0.810161 0.586208i \(-0.800620\pi\)
0.436619 + 0.899646i \(0.356176\pi\)
\(614\) 325010. + 184136.i 0.862103 + 0.488430i
\(615\) −3032.78 1750.98i −0.00801845 0.00462946i
\(616\) 27088.6 49679.9i 0.0713880 0.130924i
\(617\) −446204. + 162405.i −1.17210 + 0.426608i −0.853404 0.521250i \(-0.825466\pi\)
−0.318692 + 0.947858i \(0.603244\pi\)
\(618\) −52558.0 + 427.482i −0.137614 + 0.00111929i
\(619\) 344606. 198958.i 0.899377 0.519256i 0.0223790 0.999750i \(-0.492876\pi\)
0.876998 + 0.480494i \(0.159543\pi\)
\(620\) −24537.7 64150.3i −0.0638338 0.166884i
\(621\) 34613.4 196303.i 0.0897556 0.509029i
\(622\) −183213. 490913.i −0.473560 1.26889i
\(623\) 24834.7 29596.8i 0.0639857 0.0762552i
\(624\) −4218.96 10514.1i −0.0108352 0.0270024i
\(625\) −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
\(630\) −7499.42 1259.55i −0.0188950 0.00317346i
\(631\) 48853.6 58221.5i 0.122698 0.146226i −0.701198 0.712966i \(-0.747351\pi\)
0.823897 + 0.566740i \(0.191796\pi\)
\(632\) 110137. 327227.i 0.275739 0.819248i
\(633\) 9170.93 52010.9i 0.0228879 0.129804i
\(634\) 439673. 375065.i 1.09383 0.933100i
\(635\) 17268.9 9970.19i 0.0428269 0.0247261i
\(636\) −16876.2 + 48823.8i −0.0417216 + 0.120703i
\(637\) 62499.0 22747.8i 0.154026 0.0560609i
\(638\) 465739. 86033.9i 1.14420 0.211363i
\(639\) −614499. 354781.i −1.50494 0.868878i
\(640\) 37900.0 + 57780.6i 0.0925293 + 0.141066i
\(641\) −131293. + 110168.i −0.319541 + 0.268127i −0.788422 0.615134i \(-0.789102\pi\)
0.468881 + 0.883261i \(0.344657\pi\)
\(642\) −27666.9 47032.8i −0.0671259 0.114112i
\(643\) −116227. + 20494.0i −0.281116 + 0.0495684i −0.312428 0.949941i \(-0.601142\pi\)
0.0313123 + 0.999510i \(0.490031\pi\)
\(644\) 37444.6 + 62486.1i 0.0902854 + 0.150665i
\(645\) 6804.90 0.0163570
\(646\) 725653. + 174121.i 1.73886 + 0.417241i
\(647\) 778705.i 1.86022i 0.367280 + 0.930110i \(0.380289\pi\)
−0.367280 + 0.930110i \(0.619711\pi\)
\(648\) −75430.7 374161.i −0.179638 0.891064i
\(649\) −73376.9 416141.i −0.174209 0.987987i
\(650\) 34588.3 + 58798.9i 0.0818657 + 0.139169i
\(651\) 5917.77 + 7052.53i 0.0139636 + 0.0166411i
\(652\) −267716. 308712.i −0.629767 0.726202i
\(653\) −318195. + 551130.i −0.746220 + 1.29249i 0.203403 + 0.979095i \(0.434800\pi\)
−0.949623 + 0.313396i \(0.898533\pi\)
\(654\) 74104.7 13689.0i 0.173257 0.0320049i
\(655\) −6035.98 16583.7i −0.0140691 0.0386544i
\(656\) 71217.4 + 114576.i 0.165493 + 0.266247i
\(657\) 17398.9 + 30135.8i 0.0403081 + 0.0698156i
\(658\) 43682.4 37263.5i 0.100892 0.0860661i
\(659\) −637953. 112488.i −1.46899 0.259022i −0.618819 0.785533i \(-0.712389\pi\)
−0.850168 + 0.526511i \(0.823500\pi\)
\(660\) −16373.1 + 266.359i −0.0375874 + 0.000611477i
\(661\) 333913. + 280186.i 0.764241 + 0.641275i 0.939227 0.343296i \(-0.111544\pi\)
−0.174986 + 0.984571i \(0.555988\pi\)
\(662\) 242556. + 40738.0i 0.553473 + 0.0929573i
\(663\) −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
\(668\) −88826.2 49375.0i −0.199062 0.110651i
\(669\) 115944. + 97288.7i 0.259058 + 0.217375i
\(670\) 41539.2 + 111303.i 0.0925356 + 0.247946i
\(671\) −142468. 25121.0i −0.316426 0.0557945i
\(672\) −7331.67 5660.42i −0.0162355 0.0125346i
\(673\) 400060. + 692924.i 0.883272 + 1.52987i 0.847681 + 0.530506i \(0.177998\pi\)
0.0355912 + 0.999366i \(0.488669\pi\)
\(674\) 456873. 3715.99i 1.00572 0.00818003i
\(675\) −52197.9 143412.i −0.114563 0.314760i
\(676\) −70033.1 + 438801.i −0.153253 + 0.960227i
\(677\) 193016. 334314.i 0.421130 0.729419i −0.574920 0.818209i \(-0.694967\pi\)
0.996050 + 0.0887907i \(0.0283002\pi\)
\(678\) −7182.78 4069.45i −0.0156255 0.00885271i
\(679\) 33593.0 + 40034.6i 0.0728634 + 0.0868353i
\(680\) 20864.5 137928.i 0.0451222 0.298287i
\(681\) −14103.0 79981.8i −0.0304100 0.172463i
\(682\) −483575. 399111.i −1.03967 0.858074i
\(683\) 415120.i 0.889882i 0.895560 + 0.444941i \(0.146775\pi\)
−0.895560 + 0.444941i \(0.853225\pi\)
\(684\) 441845. + 102228.i 0.944403 + 0.218503i
\(685\) 75013.5 0.159867
\(686\) 69709.1 84461.7i 0.148129 0.179478i
\(687\) −63889.8 + 11265.5i −0.135369 + 0.0238692i
\(688\) −231168. 123619.i −0.488372 0.261160i
\(689\) −44087.7 + 36994.0i −0.0928708 + 0.0779278i
\(690\) 10391.7 18341.9i 0.0218268 0.0385253i
\(691\) −88934.9 51346.6i −0.186258 0.107536i 0.403971 0.914772i \(-0.367630\pi\)
−0.590230 + 0.807235i \(0.700963\pi\)
\(692\) −80999.7 + 507514.i −0.169150 + 1.05983i
\(693\) −65234.2 + 23743.3i −0.135834 + 0.0494395i
\(694\) 1217.28 + 149661.i 0.00252738 + 0.310736i
\(695\) −87143.9 + 50312.5i −0.180413 + 0.104161i
\(696\) −1891.48 77504.1i −0.00390466 0.159995i
\(697\) 47291.0 268201.i 0.0973448 0.552070i
\(698\) 872434. 325600.i 1.79070 0.668303i
\(699\) 17593.1 20966.7i 0.0360071 0.0429116i
\(700\) 48749.3 + 27097.9i 0.0994884 + 0.0553018i
\(701\) 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
\(706\) −161416. + 961084.i −0.323846 + 1.92820i
\(707\) −41482.9 + 49437.4i −0.0829908 + 0.0989046i
\(708\) −69160.3 + 1125.11i −0.137972 + 0.00224454i
\(709\) −56907.0 + 322735.i −0.113207 + 0.642028i 0.874416 + 0.485178i \(0.161245\pi\)
−0.987622 + 0.156850i \(0.949866\pi\)
\(710\) −98945.1 115989.i −0.196281 0.230091i
\(711\) −366833. + 211791.i −0.725654 + 0.418957i
\(712\) 336608. + 268730.i 0.663995 + 0.530098i
\(713\) 758511. 276076.i 1.49205 0.543061i
\(714\) 3396.62 + 18387.4i 0.00666270 + 0.0360681i
\(715\) −15799.5 9121.84i −0.0309052 0.0178431i
\(716\) −333119. 384129.i −0.649791 0.749293i
\(717\) 71826.2 60269.4i 0.139716 0.117235i
\(718\) −180957. + 106447.i −0.351016 + 0.206484i
\(719\) −659794. + 116340.i −1.27629 + 0.225045i −0.770406 0.637554i \(-0.779946\pi\)
−0.505888 + 0.862599i \(0.668835\pi\)
\(720\) 11997.7 83922.7i 0.0231438 0.161888i
\(721\) −47875.8 −0.0920970
\(722\) −316992. + 413827.i −0.608099 + 0.793861i
\(723\) 45438.0i 0.0869246i
\(724\) 327760. + 546954.i 0.625287 + 1.04346i
\(725\) 81064.6 + 459740.i 0.154225 + 0.874655i
\(726\) −49314.4 + 29009.0i −0.0935622 + 0.0550376i
\(727\) 350700. + 417949.i 0.663541 + 0.790777i 0.987889 0.155161i \(-0.0495895\pi\)
−0.324349 + 0.945938i \(0.605145\pi\)
\(728\) −3764.96 9608.03i −0.00710392 0.0181289i
\(729\) −218096. + 377753.i −0.410386 + 0.710810i
\(730\) 1358.17 + 7352.37i 0.00254864 + 0.0137969i
\(731\) 180997. + 497286.i 0.338717 + 0.930617i
\(732\) −7736.18 + 22381.2i −0.0144379 + 0.0417697i
\(733\) −494155. 855902.i −0.919720 1.59300i −0.799841 0.600213i \(-0.795083\pi\)
−0.119879 0.992788i \(-0.538251\pi\)
\(734\) 104370. + 122349.i 0.193724 + 0.227095i
\(735\) −15497.5 2732.62i −0.0286871 0.00505830i
\(736\) −686216. + 434311.i −1.26679 + 0.801762i
\(737\) 830803. + 697126.i 1.52955 + 1.28344i
\(738\) 27413.4 163221.i 0.0503326 0.299684i
\(739\) 213102. 585492.i 0.390210 1.07209i −0.576696 0.816959i \(-0.695658\pi\)
0.966906 0.255134i \(-0.0821195\pi\)
\(740\) −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 \(0.364473\pi\)
−0.901794 + 0.432166i \(0.857750\pi\)
\(744\) −76990.0 + 67871.1i −0.139088 + 0.122614i
\(745\) −41429.2 34763.2i −0.0746438 0.0626336i
\(746\) 279314. 104243.i 0.501898 0.187313i
\(747\) 507199. + 89432.9i 0.908944 + 0.160271i
\(748\) −454957. 1.18942e6i −0.813143 2.12585i
\(749\) −24852.0 43045.0i −0.0442994 0.0767288i
\(750\) −266.397 32753.0i −0.000473595 0.0582275i
\(751\) −260386. 715404.i −0.461676 1.26845i −0.924224 0.381851i \(-0.875287\pi\)
0.462548 0.886594i \(-0.346935\pi\)
\(752\) 427179. + 476700.i 0.755394 + 0.842965i
\(753\) 79909.2 138407.i 0.140931 0.244100i
\(754\) 42576.7 75150.0i 0.0748910 0.132186i
\(755\) 61437.5 + 73218.4i 0.107780 + 0.128448i
\(756\) 4378.20 + 22667.4i 0.00766041 + 0.0396606i
\(757\) −10086.4 57203.0i −0.0176014 0.0998222i 0.974741 0.223336i \(-0.0716948\pi\)
−0.992343 + 0.123514i \(0.960584\pi\)
\(758\) 27926.3 33836.3i 0.0486042 0.0588904i
\(759\) 192448.i 0.334065i
\(760\) 82127.4 + 52444.1i 0.142187 + 0.0907966i
\(761\) −50336.3 −0.0869185 −0.0434592 0.999055i \(-0.513838\pi\)
−0.0434592 + 0.999055i \(0.513838\pi\)
\(762\) −22981.2 18967.2i −0.0395788 0.0326657i
\(763\) 67599.9 11919.7i 0.116117 0.0204746i
\(764\) −1.09498e6 + 211494.i −1.87594 + 0.362336i
\(765\) −131101. + 110007.i −0.224018 + 0.187973i
\(766\) 56145.5 + 31809.6i 0.0956880 + 0.0542126i
\(767\) −66737.4 38530.9i −0.113443 0.0654965i
\(768\) 61090.6 83250.2i 0.103574 0.141144i
\(769\) −890447. + 324096.i −1.50576 + 0.548051i −0.957544 0.288287i \(-0.906914\pi\)
−0.548214 + 0.836338i \(0.684692\pi\)
\(770\) −14915.4 + 121.315i