Properties

Label 177.4.f.a.2.19
Level $177$
Weight $4$
Character 177.2
Analytic conductor $10.443$
Analytic rank $0$
Dimension $1624$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(1624\)
Relative dimension: \(58\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 2.19
Character \(\chi\) \(=\) 177.2
Dual form 177.4.f.a.89.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.123545 + 2.27865i) q^{2} +(-4.04503 - 3.26155i) q^{3} +(2.77611 + 0.301920i) q^{4} +(-0.776377 + 2.30421i) q^{5} +(7.93169 - 8.81427i) q^{6} +(-10.4076 - 15.3501i) q^{7} +(-3.98444 + 24.3040i) q^{8} +(5.72454 + 26.3862i) q^{9} +O(q^{10})\) \(q+(-0.123545 + 2.27865i) q^{2} +(-4.04503 - 3.26155i) q^{3} +(2.77611 + 0.301920i) q^{4} +(-0.776377 + 2.30421i) q^{5} +(7.93169 - 8.81427i) q^{6} +(-10.4076 - 15.3501i) q^{7} +(-3.98444 + 24.3040i) q^{8} +(5.72454 + 26.3862i) q^{9} +(-5.15457 - 2.05377i) q^{10} +(2.09406 - 0.460938i) q^{11} +(-10.2447 - 10.2757i) q^{12} +(59.2134 - 50.2963i) q^{13} +(36.2632 - 21.8189i) q^{14} +(10.6558 - 6.78839i) q^{15} +(-33.0705 - 7.27937i) q^{16} +(-68.4059 - 46.3803i) q^{17} +(-60.8321 + 9.78436i) q^{18} +(61.8020 - 116.571i) q^{19} +(-2.85100 + 6.16233i) q^{20} +(-7.96598 + 96.0364i) q^{21} +(0.791607 + 4.82859i) q^{22} +(25.7877 - 24.4274i) q^{23} +(95.3859 - 85.3149i) q^{24} +(94.8050 + 72.0689i) q^{25} +(107.292 + 141.141i) q^{26} +(62.9039 - 125.404i) q^{27} +(-24.2582 - 45.7557i) q^{28} +(152.730 - 8.28078i) q^{29} +(14.1519 + 25.1194i) q^{30} +(194.084 - 102.897i) q^{31} +(-32.0376 + 115.389i) q^{32} +(-9.97392 - 4.96539i) q^{33} +(114.136 - 150.143i) q^{34} +(43.4499 - 12.0638i) q^{35} +(7.92545 + 74.9793i) q^{36} +(-246.655 + 40.4371i) q^{37} +(257.989 + 155.227i) q^{38} +(-403.564 + 10.3225i) q^{39} +(-52.9080 - 28.0500i) q^{40} +(248.110 - 261.926i) q^{41} +(-217.849 - 30.0165i) q^{42} +(16.9639 - 77.0678i) q^{43} +(5.95252 - 0.647376i) q^{44} +(-65.2436 - 7.29510i) q^{45} +(52.4755 + 61.7790i) q^{46} +(132.324 - 44.5851i) q^{47} +(110.029 + 137.307i) q^{48} +(-0.348819 + 0.875469i) q^{49} +(-175.933 + 207.124i) q^{50} +(125.432 + 410.719i) q^{51} +(179.569 - 121.751i) q^{52} +(-362.884 + 144.586i) q^{53} +(277.980 + 158.829i) q^{54} +(-0.563687 + 5.18302i) q^{55} +(414.536 - 191.785i) q^{56} +(-630.193 + 269.962i) q^{57} +349.042i q^{58} +(-159.879 + 424.049i) q^{59} +(31.6311 - 15.6281i) q^{60} +(-692.065 - 37.5227i) q^{61} +(210.488 + 454.962i) q^{62} +(345.450 - 362.489i) q^{63} +(-515.690 - 173.756i) q^{64} +(69.9212 + 175.489i) q^{65} +(12.5466 - 22.1137i) q^{66} +(9.07848 + 1.48834i) q^{67} +(-175.899 - 149.410i) q^{68} +(-183.983 + 14.7016i) q^{69} +(22.1212 + 100.498i) q^{70} +(-268.433 - 796.682i) q^{71} +(-664.098 + 33.9952i) q^{72} +(17.0453 + 28.3295i) q^{73} +(-61.6691 - 567.038i) q^{74} +(-148.433 - 600.733i) q^{75} +(206.764 - 304.955i) q^{76} +(-28.8696 - 27.3467i) q^{77} +(26.3370 - 920.858i) q^{78} +(702.719 + 325.112i) q^{79} +(42.4484 - 70.5498i) q^{80} +(-663.459 + 302.097i) q^{81} +(566.186 + 597.716i) q^{82} +(-292.154 - 1052.24i) q^{83} +(-51.1098 + 264.203i) q^{84} +(159.979 - 121.613i) q^{85} +(173.515 + 48.1761i) q^{86} +(-644.806 - 464.641i) q^{87} +(2.85897 + 52.7307i) q^{88} +(58.0386 + 1070.46i) q^{89} +(24.6835 - 147.766i) q^{90} +(-1388.32 - 385.466i) q^{91} +(78.9645 - 60.0273i) q^{92} +(-1120.68 - 216.795i) q^{93} +(85.2460 + 307.028i) q^{94} +(220.622 + 232.908i) q^{95} +(505.940 - 362.259i) q^{96} +(-718.000 + 1193.33i) q^{97} +(-1.95179 - 0.902996i) q^{98} +(24.1499 + 52.6156i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} + O(q^{10}) \) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} - 58q^{10} - 57q^{12} - 58q^{13} - 11q^{15} - 926q^{16} - 29q^{18} + 126q^{19} + 159q^{21} + 2q^{22} - 29q^{24} + 656q^{25} - 99q^{27} - 54q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 859q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} + 1703q^{45} + 602q^{46} + 9507q^{48} - 1192q^{49} + 1511q^{51} - 58q^{52} - 7743q^{54} - 58q^{55} - 7441q^{57} - 18722q^{60} - 58q^{61} - 3251q^{63} - 4634q^{64} - 1751q^{66} - 58q^{67} + 6003q^{69} - 58q^{70} + 21547q^{72} - 58q^{73} + 3869q^{75} + 5622q^{76} - 3253q^{78} + 1446q^{79} + 247q^{81} - 58q^{82} + 3303q^{84} + 790q^{85} - 2199q^{87} - 5818q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 946q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.123545 + 2.27865i −0.0436797 + 0.805625i 0.891840 + 0.452351i \(0.149415\pi\)
−0.935520 + 0.353274i \(0.885068\pi\)
\(3\) −4.04503 3.26155i −0.778466 0.627686i
\(4\) 2.77611 + 0.301920i 0.347014 + 0.0377400i
\(5\) −0.776377 + 2.30421i −0.0694413 + 0.206094i −0.976755 0.214361i \(-0.931233\pi\)
0.907313 + 0.420455i \(0.138130\pi\)
\(6\) 7.93169 8.81427i 0.539683 0.599735i
\(7\) −10.4076 15.3501i −0.561957 0.828825i 0.435493 0.900192i \(-0.356574\pi\)
−0.997450 + 0.0713670i \(0.977264\pi\)
\(8\) −3.98444 + 24.3040i −0.176089 + 1.07409i
\(9\) 5.72454 + 26.3862i 0.212020 + 0.977265i
\(10\) −5.15457 2.05377i −0.163002 0.0649458i
\(11\) 2.09406 0.460938i 0.0573985 0.0126344i −0.186178 0.982516i \(-0.559610\pi\)
0.243577 + 0.969882i \(0.421679\pi\)
\(12\) −10.2447 10.2757i −0.246450 0.247195i
\(13\) 59.2134 50.2963i 1.26330 1.07305i 0.269367 0.963038i \(-0.413186\pi\)
0.993930 0.110016i \(-0.0350902\pi\)
\(14\) 36.2632 21.8189i 0.692269 0.416524i
\(15\) 10.6558 6.78839i 0.183420 0.116850i
\(16\) −33.0705 7.27937i −0.516727 0.113740i
\(17\) −68.4059 46.3803i −0.975933 0.661699i −0.0346793 0.999398i \(-0.511041\pi\)
−0.941254 + 0.337699i \(0.890351\pi\)
\(18\) −60.8321 + 9.78436i −0.796570 + 0.128122i
\(19\) 61.8020 116.571i 0.746229 1.40754i −0.161024 0.986951i \(-0.551480\pi\)
0.907253 0.420586i \(-0.138176\pi\)
\(20\) −2.85100 + 6.16233i −0.0318751 + 0.0688969i
\(21\) −7.96598 + 96.0364i −0.0827771 + 0.997946i
\(22\) 0.791607 + 4.82859i 0.00767142 + 0.0467936i
\(23\) 25.7877 24.4274i 0.233787 0.221455i −0.561833 0.827250i \(-0.689904\pi\)
0.795620 + 0.605796i \(0.207145\pi\)
\(24\) 95.3859 85.3149i 0.811274 0.725618i
\(25\) 94.8050 + 72.0689i 0.758440 + 0.576551i
\(26\) 107.292 + 141.141i 0.809299 + 1.06461i
\(27\) 62.9039 125.404i 0.448365 0.893850i
\(28\) −24.2582 45.7557i −0.163727 0.308822i
\(29\) 152.730 8.28078i 0.977974 0.0530242i 0.441784 0.897121i \(-0.354346\pi\)
0.536190 + 0.844097i \(0.319863\pi\)
\(30\) 14.1519 + 25.1194i 0.0861258 + 0.152872i
\(31\) 194.084 102.897i 1.12447 0.596156i 0.200909 0.979610i \(-0.435610\pi\)
0.923560 + 0.383454i \(0.125266\pi\)
\(32\) −32.0376 + 115.389i −0.176984 + 0.637440i
\(33\) −9.97392 4.96539i −0.0526132 0.0261928i
\(34\) 114.136 150.143i 0.575710 0.757334i
\(35\) 43.4499 12.0638i 0.209839 0.0582616i
\(36\) 7.92545 + 74.9793i 0.0366919 + 0.347126i
\(37\) −246.655 + 40.4371i −1.09594 + 0.179671i −0.682519 0.730868i \(-0.739116\pi\)
−0.413424 + 0.910539i \(0.635667\pi\)
\(38\) 257.989 + 155.227i 1.10135 + 0.662661i
\(39\) −403.564 + 10.3225i −1.65697 + 0.0423826i
\(40\) −52.9080 28.0500i −0.209137 0.110877i
\(41\) 248.110 261.926i 0.945079 0.997708i −0.0549206 0.998491i \(-0.517491\pi\)
1.00000 0.000782822i \(0.000249180\pi\)
\(42\) −217.849 30.0165i −0.800354 0.110277i
\(43\) 16.9639 77.0678i 0.0601621 0.273319i −0.936931 0.349515i \(-0.886346\pi\)
0.997093 + 0.0761958i \(0.0242774\pi\)
\(44\) 5.95252 0.647376i 0.0203949 0.00221808i
\(45\) −65.2436 7.29510i −0.216132 0.0241664i
\(46\) 52.4755 + 61.7790i 0.168198 + 0.198018i
\(47\) 132.324 44.5851i 0.410669 0.138370i −0.106382 0.994325i \(-0.533927\pi\)
0.517050 + 0.855955i \(0.327030\pi\)
\(48\) 110.029 + 137.307i 0.330861 + 0.412885i
\(49\) −0.348819 + 0.875469i −0.00101696 + 0.00255239i
\(50\) −175.933 + 207.124i −0.497613 + 0.585835i
\(51\) 125.432 + 410.719i 0.344392 + 1.12769i
\(52\) 179.569 121.751i 0.478879 0.324688i
\(53\) −362.884 + 144.586i −0.940490 + 0.374725i −0.789459 0.613804i \(-0.789639\pi\)
−0.151031 + 0.988529i \(0.548259\pi\)
\(54\) 277.980 + 158.829i 0.700524 + 0.400258i
\(55\) −0.563687 + 5.18302i −0.00138195 + 0.0127069i
\(56\) 414.536 191.785i 0.989191 0.457649i
\(57\) −630.193 + 269.962i −1.46441 + 0.627323i
\(58\) 349.042i 0.790197i
\(59\) −159.879 + 424.049i −0.352787 + 0.935704i
\(60\) 31.6311 15.6281i 0.0680594 0.0336264i
\(61\) −692.065 37.5227i −1.45262 0.0787588i −0.689159 0.724611i \(-0.742020\pi\)
−0.763463 + 0.645852i \(0.776502\pi\)
\(62\) 210.488 + 454.962i 0.431161 + 0.931940i
\(63\) 345.450 362.489i 0.690836 0.724909i
\(64\) −515.690 173.756i −1.00721 0.339368i
\(65\) 69.9212 + 175.489i 0.133425 + 0.334873i
\(66\) 12.5466 22.1137i 0.0233997 0.0412425i
\(67\) 9.07848 + 1.48834i 0.0165539 + 0.00271388i 0.170053 0.985435i \(-0.445606\pi\)
−0.153499 + 0.988149i \(0.549054\pi\)
\(68\) −175.899 149.410i −0.313690 0.266451i
\(69\) −183.983 + 14.7016i −0.320999 + 0.0256503i
\(70\) 22.1212 + 100.498i 0.0377713 + 0.171597i
\(71\) −268.433 796.682i −0.448693 1.33167i −0.898667 0.438631i \(-0.855463\pi\)
0.449974 0.893042i \(-0.351433\pi\)
\(72\) −664.098 + 33.9952i −1.08701 + 0.0556441i
\(73\) 17.0453 + 28.3295i 0.0273287 + 0.0454207i 0.870221 0.492662i \(-0.163976\pi\)
−0.842892 + 0.538083i \(0.819149\pi\)
\(74\) −61.6691 567.038i −0.0968768 0.890768i
\(75\) −148.433 600.733i −0.228527 0.924888i
\(76\) 206.764 304.955i 0.312072 0.460272i
\(77\) −28.8696 27.3467i −0.0427272 0.0404734i
\(78\) 26.3370 920.858i 0.0382317 1.33675i
\(79\) 702.719 + 325.112i 1.00079 + 0.463012i 0.850695 0.525660i \(-0.176182\pi\)
0.150090 + 0.988672i \(0.452044\pi\)
\(80\) 42.4484 70.5498i 0.0593234 0.0985963i
\(81\) −663.459 + 302.097i −0.910095 + 0.414400i
\(82\) 566.186 + 597.716i 0.762498 + 0.804959i
\(83\) −292.154 1052.24i −0.386363 1.39155i −0.859758 0.510702i \(-0.829385\pi\)
0.473395 0.880850i \(-0.343028\pi\)
\(84\) −51.1098 + 264.203i −0.0663873 + 0.343177i
\(85\) 159.979 121.613i 0.204143 0.155185i
\(86\) 173.515 + 48.1761i 0.217565 + 0.0604066i
\(87\) −644.806 464.641i −0.794603 0.572583i
\(88\) 2.85897 + 52.7307i 0.00346327 + 0.0638762i
\(89\) 58.0386 + 1070.46i 0.0691245 + 1.27493i 0.803139 + 0.595792i \(0.203162\pi\)
−0.734014 + 0.679134i \(0.762355\pi\)
\(90\) 24.6835 147.766i 0.0289097 0.173066i
\(91\) −1388.32 385.466i −1.59929 0.444041i
\(92\) 78.9645 60.0273i 0.0894850 0.0680247i
\(93\) −1120.68 216.795i −1.24956 0.241726i
\(94\) 85.2460 + 307.028i 0.0935368 + 0.336889i
\(95\) 220.622 + 232.908i 0.238266 + 0.251535i
\(96\) 505.940 362.259i 0.537888 0.385135i
\(97\) −718.000 + 1193.33i −0.751566 + 1.24911i 0.210847 + 0.977519i \(0.432378\pi\)
−0.962412 + 0.271593i \(0.912450\pi\)
\(98\) −1.95179 0.902996i −0.00201185 0.000930780i
\(99\) 24.1499 + 52.6156i 0.0245168 + 0.0534148i
\(100\) 241.430 + 228.695i 0.241430 + 0.228695i
\(101\) 491.783 725.326i 0.484498 0.714581i −0.504352 0.863498i \(-0.668269\pi\)
0.988850 + 0.148918i \(0.0475789\pi\)
\(102\) −951.383 + 235.074i −0.923539 + 0.228194i
\(103\) 69.4900 + 638.950i 0.0664762 + 0.611239i 0.979233 + 0.202736i \(0.0649834\pi\)
−0.912757 + 0.408503i \(0.866051\pi\)
\(104\) 986.470 + 1639.53i 0.930109 + 1.54585i
\(105\) −215.103 92.9158i −0.199923 0.0863586i
\(106\) −284.629 844.749i −0.260808 0.774050i
\(107\) −165.902 753.700i −0.149891 0.680962i −0.990293 0.138998i \(-0.955612\pi\)
0.840402 0.541964i \(-0.182319\pi\)
\(108\) 212.490 329.143i 0.189323 0.293257i
\(109\) 564.125 + 479.172i 0.495719 + 0.421068i 0.860056 0.510200i \(-0.170428\pi\)
−0.364337 + 0.931267i \(0.618704\pi\)
\(110\) −11.7406 1.92478i −0.0101766 0.00166837i
\(111\) 1129.62 + 640.911i 0.965932 + 0.548041i
\(112\) 232.446 + 583.395i 0.196108 + 0.492193i
\(113\) 1894.56 + 638.353i 1.57722 + 0.531427i 0.965668 0.259779i \(-0.0836499\pi\)
0.611550 + 0.791206i \(0.290546\pi\)
\(114\) −537.293 1469.34i −0.441422 1.20716i
\(115\) 36.2647 + 78.3849i 0.0294061 + 0.0635603i
\(116\) 426.496 + 23.1239i 0.341372 + 0.0185086i
\(117\) 1666.10 + 1274.49i 1.31650 + 1.00707i
\(118\) −946.508 416.697i −0.738417 0.325086i
\(119\) 1532.74i 1.18073i
\(120\) 122.528 + 286.025i 0.0932100 + 0.217587i
\(121\) −1203.81 + 556.942i −0.904440 + 0.418439i
\(122\) 171.002 1572.34i 0.126900 1.16683i
\(123\) −1857.90 + 250.277i −1.36196 + 0.183469i
\(124\) 569.866 227.055i 0.412705 0.164437i
\(125\) −491.230 + 333.063i −0.351496 + 0.238320i
\(126\) 783.307 + 831.945i 0.553830 + 0.588219i
\(127\) 630.628 742.433i 0.440624 0.518742i −0.496359 0.868117i \(-0.665330\pi\)
0.936983 + 0.349375i \(0.113606\pi\)
\(128\) 105.037 263.622i 0.0725315 0.182040i
\(129\) −319.980 + 256.413i −0.218393 + 0.175007i
\(130\) −408.517 + 137.645i −0.275610 + 0.0928638i
\(131\) −44.2440 52.0880i −0.0295085 0.0347401i 0.747210 0.664588i \(-0.231393\pi\)
−0.776718 + 0.629848i \(0.783117\pi\)
\(132\) −26.1896 16.7958i −0.0172690 0.0110749i
\(133\) −2432.58 + 264.559i −1.58595 + 0.172483i
\(134\) −4.51301 + 20.5028i −0.00290944 + 0.0132177i
\(135\) 240.119 + 242.304i 0.153083 + 0.154476i
\(136\) 1399.79 1477.74i 0.882579 0.931727i
\(137\) −764.827 405.485i −0.476960 0.252868i 0.212542 0.977152i \(-0.431826\pi\)
−0.689502 + 0.724284i \(0.742171\pi\)
\(138\) −10.7697 421.050i −0.00664333 0.259725i
\(139\) 49.1259 + 29.5581i 0.0299770 + 0.0180366i 0.530463 0.847708i \(-0.322018\pi\)
−0.500486 + 0.865744i \(0.666845\pi\)
\(140\) 124.264 20.3721i 0.0750160 0.0122982i
\(141\) −680.671 251.233i −0.406545 0.150054i
\(142\) 1848.53 513.240i 1.09243 0.303311i
\(143\) 100.813 132.617i 0.0589540 0.0775527i
\(144\) 2.76109 914.275i 0.00159785 0.529094i
\(145\) −99.4955 + 358.350i −0.0569838 + 0.205237i
\(146\) −66.6588 + 35.3403i −0.0377858 + 0.0200327i
\(147\) 4.26637 2.40361i 0.00239377 0.00134861i
\(148\) −696.952 + 37.7876i −0.387088 + 0.0209873i
\(149\) 660.198 + 1245.27i 0.362990 + 0.684672i 0.995989 0.0894811i \(-0.0285209\pi\)
−0.632998 + 0.774153i \(0.718176\pi\)
\(150\) 1387.20 264.009i 0.755095 0.143708i
\(151\) 1932.22 + 2541.79i 1.04134 + 1.36985i 0.926425 + 0.376479i \(0.122865\pi\)
0.114911 + 0.993376i \(0.463342\pi\)
\(152\) 2586.89 + 1966.50i 1.38043 + 1.04937i
\(153\) 832.207 2070.48i 0.439738 1.09404i
\(154\) 65.8804 62.4052i 0.0344727 0.0326543i
\(155\) 86.4131 + 527.097i 0.0447798 + 0.273145i
\(156\) −1123.46 93.1879i −0.576593 0.0478270i
\(157\) 0.334293 0.722562i 0.000169933 0.000367304i −0.907490 0.420073i \(-0.862005\pi\)
0.907660 + 0.419705i \(0.137867\pi\)
\(158\) −827.635 + 1561.09i −0.416728 + 0.786033i
\(159\) 1939.45 + 598.710i 0.967350 + 0.298621i
\(160\) −241.007 163.407i −0.119083 0.0807401i
\(161\) −643.349 141.612i −0.314925 0.0693203i
\(162\) −606.408 1549.12i −0.294098 0.751296i
\(163\) 1628.81 980.024i 0.782690 0.470929i −0.0672968 0.997733i \(-0.521437\pi\)
0.849987 + 0.526804i \(0.176610\pi\)
\(164\) 767.862 652.227i 0.365609 0.310551i
\(165\) 19.1848 19.1270i 0.00905173 0.00902444i
\(166\) 2433.79 535.719i 1.13795 0.250481i
\(167\) −3882.08 1546.76i −1.79883 0.716720i −0.992046 0.125874i \(-0.959827\pi\)
−0.806784 0.590846i \(-0.798794\pi\)
\(168\) −2302.33 576.256i −1.05731 0.264638i
\(169\) 621.074 3788.38i 0.282692 1.72434i
\(170\) 257.348 + 379.560i 0.116104 + 0.171241i
\(171\) 3429.65 + 963.402i 1.53375 + 0.430837i
\(172\) 70.3620 208.827i 0.0311922 0.0925750i
\(173\) −1194.62 129.922i −0.525000 0.0570972i −0.158218 0.987404i \(-0.550575\pi\)
−0.366782 + 0.930307i \(0.619541\pi\)
\(174\) 1138.42 1411.88i 0.495995 0.615142i
\(175\) 119.569 2205.33i 0.0516491 0.952612i
\(176\) −72.6071 −0.0310964
\(177\) 2029.77 1193.84i 0.861961 0.506974i
\(178\) −2446.37 −1.03013
\(179\) −62.5855 + 1154.32i −0.0261333 + 0.482000i 0.955947 + 0.293538i \(0.0948329\pi\)
−0.982081 + 0.188462i \(0.939650\pi\)
\(180\) −178.921 39.9504i −0.0740888 0.0165429i
\(181\) 3783.06 + 411.432i 1.55355 + 0.168959i 0.844250 0.535949i \(-0.180046\pi\)
0.709299 + 0.704908i \(0.249012\pi\)
\(182\) 1049.86 3115.88i 0.427588 1.26903i
\(183\) 2677.04 + 2408.99i 1.08138 + 0.973101i
\(184\) 490.933 + 724.072i 0.196696 + 0.290105i
\(185\) 98.3223 599.740i 0.0390746 0.238344i
\(186\) 632.454 2526.85i 0.249321 0.996118i
\(187\) −164.625 65.5925i −0.0643773 0.0256503i
\(188\) 380.807 83.8220i 0.147730 0.0325178i
\(189\) −2579.63 + 339.573i −0.992808 + 0.130689i
\(190\) −557.972 + 473.946i −0.213050 + 0.180966i
\(191\) −1490.13 + 896.579i −0.564512 + 0.339655i −0.769035 0.639206i \(-0.779263\pi\)
0.204524 + 0.978862i \(0.434435\pi\)
\(192\) 1519.27 + 2384.80i 0.571061 + 0.896396i
\(193\) −4490.47 988.428i −1.67477 0.368646i −0.726764 0.686887i \(-0.758977\pi\)
−0.948010 + 0.318242i \(0.896908\pi\)
\(194\) −2630.47 1783.50i −0.973488 0.660041i
\(195\) 289.533 937.910i 0.106328 0.344436i
\(196\) −1.23268 + 2.32508i −0.000449228 + 0.000847334i
\(197\) 1678.18 3627.32i 0.606929 1.31186i −0.323792 0.946128i \(-0.604958\pi\)
0.930722 0.365728i \(-0.119180\pi\)
\(198\) −122.876 + 48.5289i −0.0441032 + 0.0174182i
\(199\) −230.334 1404.98i −0.0820500 0.500483i −0.995596 0.0937474i \(-0.970115\pi\)
0.913546 0.406735i \(-0.133333\pi\)
\(200\) −2129.31 + 2016.99i −0.752824 + 0.713112i
\(201\) −31.8684 35.6303i −0.0111832 0.0125033i
\(202\) 1592.01 + 1210.21i 0.554521 + 0.421536i
\(203\) −1716.66 2258.23i −0.593528 0.780772i
\(204\) 224.209 + 1178.07i 0.0769497 + 0.404322i
\(205\) 410.905 + 775.050i 0.139995 + 0.264058i
\(206\) −1464.53 + 79.4045i −0.495333 + 0.0268562i
\(207\) 792.167 + 540.602i 0.265987 + 0.181519i
\(208\) −2324.34 + 1232.29i −0.774828 + 0.410788i
\(209\) 75.6853 272.594i 0.0250491 0.0902187i
\(210\) 238.298 478.666i 0.0783052 0.157291i
\(211\) 555.460 730.695i 0.181229 0.238403i −0.696504 0.717553i \(-0.745262\pi\)
0.877733 + 0.479150i \(0.159055\pi\)
\(212\) −1051.06 + 291.825i −0.340505 + 0.0945408i
\(213\) −1512.60 + 4098.11i −0.486580 + 1.31830i
\(214\) 1737.92 284.917i 0.555147 0.0910117i
\(215\) 164.410 + 98.9220i 0.0521518 + 0.0313787i
\(216\) 2797.17 + 2028.48i 0.881128 + 0.638984i
\(217\) −3599.42 1908.29i −1.12601 0.596974i
\(218\) −1161.56 + 1226.25i −0.360876 + 0.380972i
\(219\) 23.4494 170.188i 0.00723545 0.0525124i
\(220\) −3.12972 + 14.2184i −0.000959115 + 0.00435731i
\(221\) −6383.31 + 694.227i −1.94293 + 0.211307i
\(222\) −1599.97 + 2494.82i −0.483707 + 0.754241i
\(223\) 3184.41 + 3748.97i 0.956250 + 1.12578i 0.991976 + 0.126423i \(0.0403496\pi\)
−0.0357266 + 0.999362i \(0.511375\pi\)
\(224\) 2104.66 709.143i 0.627784 0.211525i
\(225\) −1358.91 + 2914.10i −0.402639 + 0.863438i
\(226\) −1688.65 + 4238.19i −0.497023 + 1.24743i
\(227\) 2575.95 3032.64i 0.753178 0.886710i −0.243352 0.969938i \(-0.578247\pi\)
0.996531 + 0.0832278i \(0.0265229\pi\)
\(228\) −1830.99 + 559.178i −0.531844 + 0.162423i
\(229\) 582.500 394.945i 0.168090 0.113968i −0.474241 0.880395i \(-0.657278\pi\)
0.642332 + 0.766427i \(0.277967\pi\)
\(230\) −183.092 + 72.9506i −0.0524902 + 0.0209140i
\(231\) 27.5856 + 204.778i 0.00785713 + 0.0583264i
\(232\) −407.287 + 3744.94i −0.115257 + 1.05977i
\(233\) 2756.04 1275.08i 0.774909 0.358511i 0.00775180 0.999970i \(-0.497532\pi\)
0.767158 + 0.641459i \(0.221670\pi\)
\(234\) −3109.96 + 3639.00i −0.868823 + 1.01662i
\(235\) 339.517i 0.0942452i
\(236\) −571.871 + 1128.94i −0.157736 + 0.311388i
\(237\) −1782.15 3607.04i −0.488451 0.988619i
\(238\) −3492.59 189.363i −0.951222 0.0515737i
\(239\) 1406.54 + 3040.20i 0.380677 + 0.822820i 0.999310 + 0.0371397i \(0.0118247\pi\)
−0.618633 + 0.785680i \(0.712313\pi\)
\(240\) −401.807 + 146.928i −0.108069 + 0.0395174i
\(241\) 420.219 + 141.588i 0.112318 + 0.0378444i 0.374899 0.927065i \(-0.377677\pi\)
−0.262581 + 0.964910i \(0.584574\pi\)
\(242\) −1120.35 2811.87i −0.297599 0.746917i
\(243\) 3669.02 + 941.914i 0.968591 + 0.248658i
\(244\) −1909.92 313.116i −0.501108 0.0821524i
\(245\) −1.74645 1.48345i −0.000455414 0.000386832i
\(246\) −340.760 4264.42i −0.0883172 1.10524i
\(247\) −2203.58 10011.0i −0.567654 2.57888i
\(248\) 1727.49 + 5127.00i 0.442321 + 1.31276i
\(249\) −2250.18 + 5209.24i −0.572688 + 1.32579i
\(250\) −698.245 1160.49i −0.176643 0.293584i
\(251\) 178.616 + 1642.35i 0.0449169 + 0.413005i 0.994913 + 0.100741i \(0.0321215\pi\)
−0.949996 + 0.312263i \(0.898913\pi\)
\(252\) 1068.45 902.011i 0.267088 0.225481i
\(253\) 42.7415 63.0390i 0.0106211 0.0156649i
\(254\) 1613.83 + 1528.71i 0.398665 + 0.377636i
\(255\) −1043.76 29.8522i −0.256326 0.00733104i
\(256\) −3363.32 1556.04i −0.821123 0.379892i
\(257\) 458.450 761.949i 0.111274 0.184938i −0.796216 0.605012i \(-0.793168\pi\)
0.907490 + 0.420074i \(0.137996\pi\)
\(258\) −544.744 760.802i −0.131451 0.183587i
\(259\) 3187.80 + 3365.32i 0.764789 + 0.807378i
\(260\) 141.125 + 508.288i 0.0336624 + 0.121241i
\(261\) 1092.81 + 3982.55i 0.259169 + 0.944498i
\(262\) 124.157 94.3814i 0.0292764 0.0222553i
\(263\) 1017.26 + 282.440i 0.238504 + 0.0662204i 0.384724 0.923032i \(-0.374297\pi\)
−0.146219 + 0.989252i \(0.546711\pi\)
\(264\) 160.419 222.622i 0.0373982 0.0518993i
\(265\) −51.4215 948.413i −0.0119200 0.219851i
\(266\) −302.305 5575.69i −0.0696824 1.28522i
\(267\) 3256.59 4519.34i 0.746443 1.03588i
\(268\) 24.7535 + 6.87278i 0.00564202 + 0.00156650i
\(269\) −5656.16 + 4299.70i −1.28202 + 0.974564i −0.282132 + 0.959376i \(0.591042\pi\)
−0.999885 + 0.0151881i \(0.995165\pi\)
\(270\) −581.793 + 517.212i −0.131136 + 0.116580i
\(271\) 546.257 + 1967.44i 0.122446 + 0.441009i 0.999203 0.0399242i \(-0.0127117\pi\)
−0.876757 + 0.480933i \(0.840298\pi\)
\(272\) 1924.60 + 2031.77i 0.429029 + 0.452921i
\(273\) 4358.59 + 6087.30i 0.966277 + 1.34953i
\(274\) 1018.45 1692.68i 0.224551 0.373206i
\(275\) 231.747 + 107.218i 0.0508177 + 0.0235108i
\(276\) −515.196 14.7348i −0.112359 0.00321353i
\(277\) 4850.70 + 4594.82i 1.05217 + 0.996665i 0.999998 0.00197338i \(-0.000628146\pi\)
0.0521683 + 0.998638i \(0.483387\pi\)
\(278\) −73.4218 + 108.289i −0.0158401 + 0.0233624i
\(279\) 3826.10 + 4532.10i 0.821012 + 0.972507i
\(280\) 120.075 + 1104.07i 0.0256281 + 0.235647i
\(281\) −2828.10 4700.33i −0.600392 0.997858i −0.996812 0.0797893i \(-0.974575\pi\)
0.396420 0.918069i \(-0.370252\pi\)
\(282\) 656.567 1519.97i 0.138645 0.320969i
\(283\) −1474.83 4377.13i −0.309785 0.919410i −0.983577 0.180489i \(-0.942232\pi\)
0.673792 0.738921i \(-0.264665\pi\)
\(284\) −504.667 2292.72i −0.105445 0.479043i
\(285\) −132.781 1661.69i −0.0275975 0.345368i
\(286\) 289.734 + 246.102i 0.0599033 + 0.0508823i
\(287\) −6602.81 1082.48i −1.35802 0.222636i
\(288\) −3228.07 184.800i −0.660472 0.0378105i
\(289\) 709.741 + 1781.32i 0.144462 + 0.362572i
\(290\) −804.264 270.988i −0.162855 0.0548723i
\(291\) 6796.43 2485.24i 1.36912 0.500644i
\(292\) 38.7663 + 83.7920i 0.00776927 + 0.0167930i
\(293\) −2900.69 157.271i −0.578362 0.0313579i −0.237362 0.971421i \(-0.576283\pi\)
−0.341000 + 0.940063i \(0.610766\pi\)
\(294\) 4.94990 + 10.0185i 0.000981918 + 0.00198739i
\(295\) −852.971 697.616i −0.168345 0.137684i
\(296\) 6155.83i 1.20879i
\(297\) 73.9214 291.598i 0.0144423 0.0569705i
\(298\) −2919.09 + 1350.52i −0.567444 + 0.262528i
\(299\) 298.368 2743.45i 0.0577093 0.530629i
\(300\) −230.692 1712.52i −0.0443967 0.329574i
\(301\) −1359.55 + 541.693i −0.260342 + 0.103730i
\(302\) −6030.58 + 4088.83i −1.14907 + 0.779092i
\(303\) −4354.97 + 1329.99i −0.825697 + 0.252165i
\(304\) −2892.39 + 3405.18i −0.545690 + 0.642436i
\(305\) 623.764 1565.53i 0.117104 0.293908i
\(306\) 4615.08 + 2152.11i 0.862178 + 0.402052i
\(307\) −1282.24 + 432.039i −0.238377 + 0.0803184i −0.435954 0.899969i \(-0.643589\pi\)
0.197578 + 0.980287i \(0.436693\pi\)
\(308\) −71.8887 84.6339i −0.0132995 0.0156574i
\(309\) 1802.88 2811.22i 0.331917 0.517555i
\(310\) −1211.75 + 131.785i −0.222008 + 0.0241448i
\(311\) 397.087 1803.99i 0.0724012 0.328922i −0.926473 0.376361i \(-0.877175\pi\)
0.998874 + 0.0474395i \(0.0151061\pi\)
\(312\) 1357.10 9849.35i 0.246252 1.78721i
\(313\) −2119.85 + 2237.90i −0.382815 + 0.404133i −0.888716 0.458459i \(-0.848402\pi\)
0.505901 + 0.862592i \(0.331160\pi\)
\(314\) 1.60517 + 0.851006i 0.000288487 + 0.000152946i
\(315\) 567.049 + 1077.42i 0.101427 + 0.192716i
\(316\) 1852.67 + 1114.71i 0.329812 + 0.198441i
\(317\) 8106.93 1329.06i 1.43637 0.235481i 0.607234 0.794523i \(-0.292279\pi\)
0.829139 + 0.559042i \(0.188831\pi\)
\(318\) −1603.86 + 4345.37i −0.282830 + 0.766277i
\(319\) 316.009 87.7396i 0.0554643 0.0153996i
\(320\) 800.740 1053.36i 0.139884 0.184014i
\(321\) −1787.15 + 3589.84i −0.310745 + 0.624190i
\(322\) 402.167 1448.47i 0.0696021 0.250684i
\(323\) −9634.22 + 5107.74i −1.65964 + 0.879883i
\(324\) −1933.05 + 638.344i −0.331455 + 0.109455i
\(325\) 9238.53 500.899i 1.57681 0.0854919i
\(326\) 2031.90 + 3832.57i 0.345204 + 0.651125i
\(327\) −719.058 3778.19i −0.121602 0.638943i
\(328\) 5377.28 + 7073.69i 0.905215 + 1.19079i
\(329\) −2061.56 1567.16i −0.345463 0.262614i
\(330\) 41.2135 + 46.0785i 0.00687494 + 0.00768649i
\(331\) 3203.08 3034.12i 0.531895 0.503838i −0.373949 0.927449i \(-0.621996\pi\)
0.905844 + 0.423612i \(0.139238\pi\)
\(332\) −493.359 3009.36i −0.0815560 0.497470i
\(333\) −2478.97 6276.81i −0.407948 1.03293i
\(334\) 4004.15 8654.82i 0.655980 1.41788i
\(335\) −10.4778 + 19.7632i −0.00170884 + 0.00322322i
\(336\) 962.524 3117.99i 0.156280 0.506250i
\(337\) 827.961 + 561.371i 0.133834 + 0.0907414i 0.626267 0.779609i \(-0.284582\pi\)
−0.492433 + 0.870350i \(0.663892\pi\)
\(338\) 8555.67 + 1883.25i 1.37683 + 0.303062i
\(339\) −5581.55 8761.38i −0.894242 1.40370i
\(340\) 480.836 289.309i 0.0766971 0.0461471i
\(341\) 358.995 304.933i 0.0570108 0.0484254i
\(342\) −2618.97 + 7695.95i −0.414087 + 1.21681i
\(343\) −6195.38 + 1363.71i −0.975274 + 0.214674i
\(344\) 1805.46 + 719.362i 0.282977 + 0.112748i
\(345\) 108.965 435.349i 0.0170042 0.0679374i
\(346\) 443.637 2706.07i 0.0689309 0.420460i
\(347\) 3678.77 + 5425.78i 0.569126 + 0.839398i 0.997951 0.0639895i \(-0.0203824\pi\)
−0.428824 + 0.903388i \(0.641072\pi\)
\(348\) −1649.77 1484.58i −0.254129 0.228683i
\(349\) −1043.84 + 3098.01i −0.160102 + 0.475166i −0.997439 0.0715210i \(-0.977215\pi\)
0.837337 + 0.546687i \(0.184111\pi\)
\(350\) 5010.40 + 544.914i 0.765192 + 0.0832196i
\(351\) −2582.59 10589.4i −0.392731 1.61032i
\(352\) −13.9016 + 256.399i −0.00210499 + 0.0388242i
\(353\) −6644.69 −1.00187 −0.500937 0.865484i \(-0.667011\pi\)
−0.500937 + 0.865484i \(0.667011\pi\)
\(354\) 2469.58 + 4772.64i 0.370781 + 0.716562i
\(355\) 2044.13 0.305608
\(356\) −162.072 + 2989.24i −0.0241286 + 0.445026i
\(357\) 4999.12 6199.99i 0.741125 0.919155i
\(358\) −2622.56 285.221i −0.387170 0.0421073i
\(359\) 32.4883 96.4219i 0.00477623 0.0141754i −0.945239 0.326380i \(-0.894171\pi\)
0.950015 + 0.312205i \(0.101068\pi\)
\(360\) 437.259 1556.61i 0.0640154 0.227891i
\(361\) −5920.11 8731.51i −0.863115 1.27300i
\(362\) −1404.89 + 8569.44i −0.203976 + 1.24420i
\(363\) 6685.94 + 1673.44i 0.966725 + 0.241964i
\(364\) −3737.76 1489.26i −0.538219 0.214446i
\(365\) −78.5105 + 17.2815i −0.0112587 + 0.00247823i
\(366\) −5819.98 + 5802.43i −0.831189 + 0.828683i
\(367\) 2205.81 1873.63i 0.313740 0.266493i −0.476656 0.879090i \(-0.658151\pi\)
0.790395 + 0.612597i \(0.209875\pi\)
\(368\) −1030.63 + 620.108i −0.145992 + 0.0878406i
\(369\) 8331.55 + 5047.26i 1.17540 + 0.712059i
\(370\) 1354.45 + 298.137i 0.190310 + 0.0418903i
\(371\) 5996.16 + 4065.50i 0.839097 + 0.568922i
\(372\) −3045.68 940.202i −0.424492 0.131041i
\(373\) −2675.92 + 5047.32i −0.371458 + 0.700644i −0.996820 0.0796911i \(-0.974607\pi\)
0.625362 + 0.780335i \(0.284951\pi\)
\(374\) 169.801 367.019i 0.0234765 0.0507436i
\(375\) 3073.34 + 254.926i 0.423218 + 0.0351049i
\(376\) 556.360 + 3393.65i 0.0763087 + 0.465463i
\(377\) 8627.18 8172.09i 1.17857 1.11640i
\(378\) −455.068 5920.04i −0.0619210 0.805540i
\(379\) 4009.31 + 3047.80i 0.543389 + 0.413074i 0.840534 0.541759i \(-0.182241\pi\)
−0.297145 + 0.954832i \(0.596034\pi\)
\(380\) 542.151 + 713.188i 0.0731888 + 0.0962783i
\(381\) −4972.39 + 946.336i −0.668618 + 0.127250i
\(382\) −1858.89 3506.25i −0.248977 0.469621i
\(383\) 6800.76 368.726i 0.907317 0.0491933i 0.405430 0.914126i \(-0.367122\pi\)
0.501887 + 0.864933i \(0.332639\pi\)
\(384\) −1284.70 + 723.778i −0.170727 + 0.0961852i
\(385\) 85.4262 45.2901i 0.0113084 0.00599532i
\(386\) 2807.06 10110.1i 0.370144 1.33314i
\(387\) 2130.63 + 6.43445i 0.279861 + 0.000845172i
\(388\) −2353.54 + 3096.03i −0.307945 + 0.405095i
\(389\) −937.690 + 260.348i −0.122218 + 0.0339336i −0.328099 0.944643i \(-0.606408\pi\)
0.205881 + 0.978577i \(0.433994\pi\)
\(390\) 2101.40 + 775.619i 0.272842 + 0.100705i
\(391\) −2896.98 + 474.935i −0.374697 + 0.0614284i
\(392\) −19.8875 11.9659i −0.00256243 0.00154176i
\(393\) 9.08033 + 355.002i 0.00116550 + 0.0455661i
\(394\) 8058.06 + 4272.12i 1.03035 + 0.546259i
\(395\) −1294.70 + 1366.80i −0.164920 + 0.174104i
\(396\) 51.1572 + 153.358i 0.00649178 + 0.0194610i
\(397\) −1119.05 + 5083.89i −0.141470 + 0.642703i 0.851502 + 0.524351i \(0.175692\pi\)
−0.992972 + 0.118352i \(0.962239\pi\)
\(398\) 3229.91 351.274i 0.406785 0.0442406i
\(399\) 10702.7 + 6863.84i 1.34287 + 0.861208i
\(400\) −2610.63 3073.48i −0.326329 0.384185i
\(401\) −12426.8 + 4187.08i −1.54755 + 0.521429i −0.958114 0.286389i \(-0.907545\pi\)
−0.589433 + 0.807818i \(0.700649\pi\)
\(402\) 85.1264 68.2151i 0.0105615 0.00846334i
\(403\) 6317.05 15854.6i 0.780830 1.95974i
\(404\) 1584.24 1865.11i 0.195096 0.229684i
\(405\) −181.000 1763.29i −0.0222073 0.216342i
\(406\) 5357.81 3632.68i 0.654935 0.444057i
\(407\) −497.873 + 198.371i −0.0606355 + 0.0241594i
\(408\) −10481.9 + 1412.01i −1.27189 + 0.171336i
\(409\) 370.383 3405.61i 0.0447781 0.411728i −0.950200 0.311639i \(-0.899122\pi\)
0.994979 0.100089i \(-0.0319126\pi\)
\(410\) −1816.83 + 840.557i −0.218846 + 0.101249i
\(411\) 1771.23 + 4134.72i 0.212576 + 0.496231i
\(412\) 1794.78i 0.214617i
\(413\) 8173.14 1959.18i 0.973786 0.233427i
\(414\) −1329.71 + 1738.28i −0.157854 + 0.206357i
\(415\) 2651.41 + 143.755i 0.313621 + 0.0170040i
\(416\) 3906.59 + 8443.95i 0.460423 + 0.995189i
\(417\) −102.311 279.790i −0.0120148 0.0328570i
\(418\) 611.796 + 206.138i 0.0715883 + 0.0241209i
\(419\) 1469.09 + 3687.13i 0.171288 + 0.429901i 0.989411 0.145143i \(-0.0463643\pi\)
−0.818123 + 0.575044i \(0.804985\pi\)
\(420\) −569.097 322.889i −0.0661169 0.0375127i
\(421\) 2919.99 + 478.708i 0.338033 + 0.0554176i 0.328408 0.944536i \(-0.393488\pi\)
0.00962480 + 0.999954i \(0.496936\pi\)
\(422\) 1596.37 + 1355.97i 0.184148 + 0.156416i
\(423\) 1933.92 + 3236.29i 0.222295 + 0.371995i
\(424\) −2068.13 9395.62i −0.236881 1.07616i
\(425\) −3142.64 9327.03i −0.358684 1.06453i
\(426\) −9151.30 3952.99i −1.04080 0.449584i
\(427\) 6626.76 + 11013.8i 0.751034 + 1.24823i
\(428\) −233.005 2142.44i −0.0263147 0.241960i
\(429\) −840.331 + 207.634i −0.0945724 + 0.0233675i
\(430\) −245.721 + 362.411i −0.0275575 + 0.0406442i
\(431\) −196.158 185.811i −0.0219225 0.0207661i 0.676660 0.736296i \(-0.263427\pi\)
−0.698582 + 0.715530i \(0.746185\pi\)
\(432\) −2993.13 + 3689.27i −0.333349 + 0.410879i
\(433\) −11909.0 5509.67i −1.32173 0.611497i −0.373071 0.927803i \(-0.621695\pi\)
−0.948657 + 0.316306i \(0.897557\pi\)
\(434\) 4793.03 7966.07i 0.530121 0.881068i
\(435\) 1571.24 1125.03i 0.173184 0.124002i
\(436\) 1421.40 + 1500.56i 0.156130 + 0.164825i
\(437\) −1253.79 4515.75i −0.137247 0.494319i
\(438\) 384.901 + 74.4588i 0.0419892 + 0.00812278i
\(439\) −5369.78 + 4082.00i −0.583794 + 0.443789i −0.854923 0.518754i \(-0.826396\pi\)
0.271129 + 0.962543i \(0.412603\pi\)
\(440\) −123.722 34.3512i −0.0134050 0.00372189i
\(441\) −25.0971 4.19233i −0.00270998 0.000452686i
\(442\) −793.276 14631.1i −0.0853672 1.57450i
\(443\) 685.708 + 12647.1i 0.0735417 + 1.35640i 0.769653 + 0.638463i \(0.220429\pi\)
−0.696111 + 0.717934i \(0.745088\pi\)
\(444\) 2942.44 + 2120.29i 0.314509 + 0.226632i
\(445\) −2511.62 697.348i −0.267555 0.0742864i
\(446\) −8936.03 + 6792.99i −0.948729 + 0.721205i
\(447\) 1390.98 7190.41i 0.147184 0.760838i
\(448\) 2699.93 + 9724.26i 0.284731 + 1.02551i
\(449\) 9118.87 + 9626.68i 0.958455 + 1.01183i 0.999919 + 0.0126883i \(0.00403893\pi\)
−0.0414648 + 0.999140i \(0.513202\pi\)
\(450\) −6472.34 3456.50i −0.678020 0.362091i
\(451\) 398.826 662.854i 0.0416407 0.0692074i
\(452\) 5066.79 + 2344.15i 0.527261 + 0.243937i
\(453\) 474.301 16583.7i 0.0491933 1.72002i
\(454\) 6592.08 + 6244.35i 0.681457 + 0.645511i
\(455\) 1966.05 2899.71i 0.202571 0.298771i
\(456\) −4050.20 16391.9i −0.415938 1.68337i
\(457\) 1888.48 + 17364.3i 0.193303 + 1.77739i 0.542218 + 0.840238i \(0.317585\pi\)
−0.348915 + 0.937154i \(0.613450\pi\)
\(458\) 827.977 + 1376.11i 0.0844735 + 0.140396i
\(459\) −10119.3 + 5660.85i −1.02903 + 0.575655i
\(460\) 77.0089 + 228.554i 0.00780557 + 0.0231661i
\(461\) −1180.28 5362.08i −0.119243 0.541728i −0.997929 0.0643272i \(-0.979510\pi\)
0.878685 0.477401i \(-0.158421\pi\)
\(462\) −470.026 + 37.5586i −0.0473324 + 0.00378222i
\(463\) 3601.00 + 3058.71i 0.361453 + 0.307021i 0.809649 0.586915i \(-0.199658\pi\)
−0.448196 + 0.893935i \(0.647933\pi\)
\(464\) −5111.14 837.929i −0.511376 0.0838359i
\(465\) 1369.61 2413.96i 0.136590 0.240742i
\(466\) 2564.96 + 6437.58i 0.254978 + 0.639946i
\(467\) 12599.5 + 4245.26i 1.24847 + 0.420658i 0.864474 0.502678i \(-0.167652\pi\)
0.383994 + 0.923336i \(0.374548\pi\)
\(468\) 4240.48 + 4041.16i 0.418838 + 0.399151i
\(469\) −71.6391 154.845i −0.00705327 0.0152454i
\(470\) −773.640 41.9455i −0.0759263 0.00411660i
\(471\) −3.70890 + 1.83247i −0.000362839 + 0.000179269i
\(472\) −9669.06 5575.29i −0.942912 0.543694i
\(473\) 169.204i 0.0164482i
\(474\) 8439.37 3615.26i 0.817791 0.350326i
\(475\) 14260.3 6597.51i 1.37749 0.637293i
\(476\) −462.766 + 4255.06i −0.0445606 + 0.409728i
\(477\) −5892.42 8747.43i −0.565609 0.839659i
\(478\) −7101.32 + 2829.42i −0.679512 + 0.270742i
\(479\) −8701.51 + 5899.77i −0.830026 + 0.562771i −0.900557 0.434738i \(-0.856841\pi\)
0.0705312 + 0.997510i \(0.477531\pi\)
\(480\) 441.920 + 1447.04i 0.0420225 + 0.137600i
\(481\) −12571.5 + 14800.3i −1.19170 + 1.40298i
\(482\) −374.547 + 940.041i −0.0353945 + 0.0888334i
\(483\) 2140.49 + 2671.14i 0.201648 + 0.251638i
\(484\) −3510.06 + 1182.68i −0.329645 + 0.111070i
\(485\) −2192.23 2580.89i −0.205245 0.241633i
\(486\) −2599.58 + 8244.05i −0.242633 + 0.769460i
\(487\) −1516.37 + 164.915i −0.141095 + 0.0153450i −0.178394 0.983959i \(-0.557090\pi\)
0.0372991 + 0.999304i \(0.488125\pi\)
\(488\) 3669.44 16670.4i 0.340385 1.54638i
\(489\) −9785.00 1348.23i −0.904893 0.124681i
\(490\) 3.59602 3.79627i 0.000331534 0.000349996i
\(491\) 2205.10 + 1169.07i 0.202677 + 0.107453i 0.566656 0.823955i \(-0.308237\pi\)
−0.363978 + 0.931407i \(0.618582\pi\)
\(492\) −5233.30 + 133.859i −0.479543 + 0.0122659i
\(493\) −10831.7 6517.22i −0.989524 0.595377i
\(494\) 23083.8 3784.39i 2.10241 0.344672i
\(495\) −139.987 + 14.7969i −0.0127110 + 0.00134357i
\(496\) −7167.49 + 1990.04i −0.648850 + 0.180152i
\(497\) −9435.37 + 12412.0i −0.851578 + 1.12023i
\(498\) −11592.0 5770.95i −1.04308 0.519282i
\(499\) 1756.22 6325.34i 0.157554 0.567457i −0.842053 0.539395i \(-0.818653\pi\)
0.999606 0.0280613i \(-0.00893337\pi\)
\(500\) −1464.27 + 776.306i −0.130968 + 0.0694350i
\(501\) 10658.3 + 18918.3i 0.950454 + 1.68704i
\(502\) −3764.41 + 204.100i −0.334689 + 0.0181463i
\(503\) −2550.61 4810.96i −0.226096 0.426461i 0.744347 0.667793i \(-0.232761\pi\)
−0.970443 + 0.241331i \(0.922416\pi\)
\(504\) 7433.49 + 9840.14i 0.656973 + 0.869672i
\(505\) 1289.49 + 1696.30i 0.113627 + 0.149474i
\(506\) 138.363 + 105.181i 0.0121561 + 0.00924085i
\(507\) −14868.3 + 13298.5i −1.30241 + 1.16490i
\(508\) 1974.85 1870.68i 0.172480 0.163382i
\(509\) 1824.45 + 11128.6i 0.158875 + 0.969093i 0.939113 + 0.343610i \(0.111650\pi\)
−0.780238 + 0.625483i \(0.784902\pi\)
\(510\) 196.975 2374.69i 0.0171023 0.206182i
\(511\) 257.458 556.487i 0.0222882 0.0481752i
\(512\) 5024.58 9477.36i 0.433705 0.818055i
\(513\) −10730.8 15083.0i −0.923544 1.29811i
\(514\) 1679.58 + 1138.78i 0.144130 + 0.0977228i
\(515\) −1526.22 335.947i −0.130589 0.0287449i
\(516\) −965.717 + 615.222i −0.0823901 + 0.0524877i
\(517\) 256.544 154.357i 0.0218236 0.0131308i
\(518\) −8062.24 + 6848.13i −0.683850 + 0.580867i
\(519\) 4408.52 + 4421.85i 0.372856 + 0.373984i
\(520\) −4543.68 + 1000.14i −0.383180 + 0.0843442i
\(521\) 14568.1 + 5804.47i 1.22503 + 0.488097i 0.890801 0.454394i \(-0.150144\pi\)
0.334230 + 0.942491i \(0.391524\pi\)
\(522\) −9209.87 + 1998.10i −0.772232 + 0.167538i
\(523\) −2671.92 + 16298.0i −0.223394 + 1.36264i 0.602186 + 0.798356i \(0.294297\pi\)
−0.825579 + 0.564286i \(0.809152\pi\)
\(524\) −107.100 157.960i −0.00892877 0.0131689i
\(525\) −7676.45 + 8530.63i −0.638148 + 0.709157i
\(526\) −769.258 + 2283.08i −0.0637666 + 0.189253i
\(527\) −18048.9 1962.93i −1.49188 0.162252i
\(528\) 293.698 + 236.812i 0.0242075 + 0.0195188i
\(529\) −590.401 + 10889.3i −0.0485248 + 0.894987i
\(530\) 2167.46 0.177638
\(531\) −12104.3 1791.10i −0.989229 0.146379i
\(532\) −6832.99 −0.556857
\(533\) 1517.50 27988.6i 0.123321 2.27452i
\(534\) 9895.66 + 7978.98i 0.801923 + 0.646600i
\(535\) 1865.48 + 202.883i 0.150751 + 0.0163952i
\(536\) −72.3453 + 214.713i −0.00582993 + 0.0173026i
\(537\) 4018.04 4465.14i 0.322889 0.358817i
\(538\) −9098.74 13419.6i −0.729135 1.07539i
\(539\) −0.326911 + 1.99407i −2.61244e−5 + 0.000159352i
\(540\) 593.440 + 745.160i 0.0472919 + 0.0593826i
\(541\) 8653.95 + 3448.05i 0.687730 + 0.274017i 0.687713 0.725983i \(-0.258615\pi\)
1.79679e−5 1.00000i \(0.499994\pi\)
\(542\) −4550.60 + 1001.66i −0.360637 + 0.0793821i
\(543\) −13960.7 14002.9i −1.10333 1.10667i
\(544\) 7543.34 6407.37i 0.594518 0.504988i
\(545\) −1542.09 + 927.842i −0.121203 + 0.0729255i
\(546\) −14409.3 + 9179.65i −1.12942 + 0.719510i
\(547\) −11071.2 2436.96i −0.865394 0.190488i −0.239977 0.970778i \(-0.577140\pi\)
−0.625417 + 0.780291i \(0.715071\pi\)
\(548\) −2000.82 1356.59i −0.155969 0.105749i
\(549\) −2971.68 18475.8i −0.231017 1.43629i
\(550\) −272.943 + 514.825i −0.0211606 + 0.0399131i
\(551\) 8473.72 18315.6i 0.655159 1.41610i
\(552\) 375.760 4530.10i 0.0289736 0.349300i
\(553\) −2323.12 14170.4i −0.178642 1.08967i
\(554\) −11069.3 + 10485.4i −0.848897 + 0.804118i
\(555\) −2353.80 + 2105.28i −0.180024 + 0.161017i
\(556\) 127.455 + 96.8887i 0.00972174 + 0.00739028i
\(557\) −958.999 1261.54i −0.0729517 0.0959663i 0.758170 0.652057i \(-0.226094\pi\)
−0.831122 + 0.556091i \(0.812301\pi\)
\(558\) −10799.8 + 8158.42i −0.819338 + 0.618949i
\(559\) −2871.74 5416.67i −0.217284 0.409840i
\(560\) −1524.73 + 82.6684i −0.115056 + 0.00623817i
\(561\) 451.979 + 802.256i 0.0340153 + 0.0603766i
\(562\) 11059.8 5863.54i 0.830125 0.440104i
\(563\) −572.480 + 2061.89i −0.0428546 + 0.154348i −0.981882 0.189495i \(-0.939315\pi\)
0.939027 + 0.343843i \(0.111729\pi\)
\(564\) −1813.77 902.960i −0.135414 0.0674140i
\(565\) −2941.79 + 3869.86i −0.219048 + 0.288153i
\(566\) 10156.2 2819.84i 0.754231 0.209411i
\(567\) 11542.2 + 7040.03i 0.854900 + 0.521435i
\(568\) 20432.1 3349.67i 1.50935 0.247446i
\(569\) 2202.04 + 1324.93i 0.162240 + 0.0976165i 0.594358 0.804200i \(-0.297406\pi\)
−0.432118 + 0.901817i \(0.642234\pi\)
\(570\) 3802.81 97.2694i 0.279443 0.00714766i
\(571\) −6650.05 3525.63i −0.487383 0.258394i 0.206547 0.978437i \(-0.433777\pi\)
−0.693930 + 0.720042i \(0.744122\pi\)
\(572\) 319.909 337.723i 0.0233847 0.0246869i
\(573\) 8951.85 + 1233.44i 0.652651 + 0.0899258i
\(574\) 3282.33 14911.8i 0.238679 1.08433i
\(575\) 4205.25 457.349i 0.304993 0.0331700i
\(576\) 1632.67 14601.8i 0.118104 1.05626i
\(577\) 11237.3 + 13229.5i 0.810769 + 0.954511i 0.999622 0.0274940i \(-0.00875270\pi\)
−0.188853 + 0.982005i \(0.560477\pi\)
\(578\) −4146.69 + 1397.18i −0.298407 + 0.100545i
\(579\) 14940.3 + 18644.1i 1.07236 + 1.33821i
\(580\) −384.404 + 964.781i −0.0275198 + 0.0690696i
\(581\) −13111.4 + 15435.9i −0.936235 + 1.10222i
\(582\) 4823.34 + 15793.7i 0.343529 + 1.12486i
\(583\) −693.257 + 470.040i −0.0492483 + 0.0333912i
\(584\) −756.434 + 301.391i −0.0535984 + 0.0213556i
\(585\) −4230.21 + 2849.55i −0.298971 + 0.201392i
\(586\) 716.731 6590.23i 0.0505254 0.464573i
\(587\) 15888.0 7350.57i 1.11715 0.516850i 0.227633 0.973747i \(-0.426901\pi\)
0.889519 + 0.456898i \(0.151039\pi\)
\(588\) 12.5696 5.38458i 0.000881569 0.000377647i
\(589\) 28983.8i 2.02760i
\(590\) 1695.00 1857.44i 0.118275 0.129609i
\(591\) −18619.0 + 9199.15i −1.29591 + 0.640275i
\(592\) 8451.38 + 458.221i 0.586739 + 0.0318121i
\(593\) 548.236 + 1184.99i 0.0379652 + 0.0820604i 0.925630 0.378430i \(-0.123536\pi\)
−0.887665 + 0.460490i \(0.847674\pi\)
\(594\) 655.318 + 204.467i 0.0452660 + 0.0141235i
\(595\) −3531.76 1189.99i −0.243341 0.0819911i
\(596\) 1456.81 + 3656.32i 0.100123 + 0.251290i
\(597\) −3650.69 + 6434.42i −0.250273 + 0.441111i
\(598\) 6214.51 + 1018.82i 0.424967 + 0.0696698i
\(599\) −16185.9 13748.4i −1.10407 0.937806i −0.105674 0.994401i \(-0.533700\pi\)
−0.998397 + 0.0565947i \(0.981976\pi\)
\(600\) 15191.6 1213.92i 1.03366 0.0825971i
\(601\) 1643.29 + 7465.55i 0.111533 + 0.506699i 0.998953 + 0.0457383i \(0.0145640\pi\)
−0.887421 + 0.460961i \(0.847505\pi\)
\(602\) −1066.37 3164.86i −0.0721957 0.214269i
\(603\) 12.6985 + 248.066i 0.000857586 + 0.0167530i
\(604\) 4596.64 + 7639.67i 0.309660 + 0.514659i
\(605\) −348.698 3206.22i −0.0234324 0.215457i
\(606\) −2492.55 10087.8i −0.167084 0.676217i
\(607\) −1525.99 + 2250.67i −0.102040 + 0.150497i −0.875281 0.483614i \(-0.839324\pi\)
0.773241 + 0.634112i \(0.218634\pi\)
\(608\) 11471.0 + 10865.9i 0.765149 + 0.724788i
\(609\) −421.388 + 14733.6i −0.0280386 + 0.980354i
\(610\) 3490.23 + 1614.75i 0.231665 + 0.107180i
\(611\) 5592.89 9295.45i 0.370317 0.615472i
\(612\) 2935.42 5496.61i 0.193884 0.363051i
\(613\) −13010.5 13735.0i −0.857239 0.904976i 0.139117 0.990276i \(-0.455574\pi\)
−0.996355 + 0.0853002i \(0.972815\pi\)
\(614\) −826.051 2975.17i −0.0542943 0.195550i
\(615\) 865.741 4475.29i 0.0567643 0.293433i
\(616\) 779.664 592.685i 0.0509960 0.0387662i
\(617\) −12602.4 3499.03i −0.822289 0.228307i −0.169193 0.985583i \(-0.554116\pi\)
−0.653096 + 0.757275i \(0.726530\pi\)
\(618\) 6183.05 + 4455.45i 0.402458 + 0.290007i
\(619\) 1033.31 + 19058.2i 0.0670955 + 1.23750i 0.817266 + 0.576260i \(0.195489\pi\)
−0.750171 + 0.661244i \(0.770029\pi\)
\(620\) 80.7512 + 1489.37i 0.00523072 + 0.0964750i
\(621\) −1441.14 4770.44i −0.0931254 0.308263i
\(622\) 4061.60 + 1127.70i 0.261825 + 0.0726954i
\(623\) 15827.6 12031.8i 1.01785 0.773747i
\(624\) 13421.2 + 2596.32i 0.861024 + 0.166564i
\(625\) 3596.36 + 12952.9i 0.230167 + 0.828986i
\(626\) −4837.50 5106.88i −0.308858 0.326058i
\(627\) −1195.23 + 855.798i −0.0761289 + 0.0545092i
\(628\) 1.14619 1.90498i 7.28312e−5 0.000121046i
\(629\) 18748.2 + 8673.83i 1.18846 + 0.549838i
\(630\) −2525.11 + 1159.00i −0.159687 + 0.0732945i
\(631\) −17433.7 16514.1i −1.09988 1.04186i −0.998896 0.0469753i \(-0.985042\pi\)
−0.100986 0.994888i \(-0.532200\pi\)
\(632\) −10701.5 + 15783.5i −0.673546 + 0.993406i
\(633\) −4630.05 + 1144.02i −0.290723 + 0.0718337i
\(634\) 2026.90 + 18637.1i 0.126969 + 1.16746i
\(635\) 1221.11 + 2029.51i 0.0763124 + 0.126832i
\(636\) 5203.37 + 2247.65i 0.324414 + 0.140134i
\(637\) 23.3781 + 69.3839i 0.00145412 + 0.00431568i
\(638\) 160.887 + 730.915i 0.00998364 + 0.0453561i
\(639\) 19484.7 11643.6i 1.20627 0.720833i
\(640\) 525.892 + 446.697i 0.0324808 + 0.0275894i
\(641\) 1593.79 + 261.289i 0.0982075 + 0.0161003i 0.210685 0.977554i \(-0.432430\pi\)
−0.112478 + 0.993654i \(0.535879\pi\)
\(642\) −7959.19 4515.81i −0.489290 0.277608i
\(643\) 739.416 + 1855.79i 0.0453495 + 0.113819i 0.949907 0.312534i \(-0.101178\pi\)
−0.904557 + 0.426352i \(0.859798\pi\)
\(644\) −1743.25 587.370i −0.106667 0.0359404i
\(645\) −342.403 936.373i −0.0209025 0.0571623i
\(646\) −10448.5 22584.1i −0.636364 1.37548i
\(647\) −17426.6 944.844i −1.05890 0.0574121i −0.483550 0.875317i \(-0.660653\pi\)
−0.575354 + 0.817904i \(0.695136\pi\)
\(648\) −4698.66 17328.4i −0.284847 1.05050i
\(649\) −139.336 + 961.680i −0.00842744 + 0.0581652i
\(650\) 21113.3i 1.27405i
\(651\) 8335.77 + 19458.8i 0.501851 + 1.17151i
\(652\) 4817.66 2228.88i 0.289377 0.133880i
\(653\) −3202.25 + 29444.2i −0.191904 + 1.76453i 0.362215 + 0.932094i \(0.382021\pi\)
−0.554120 + 0.832437i \(0.686945\pi\)
\(654\) 8698.02 1171.71i 0.520060 0.0700571i
\(655\) 154.372 61.5072i 0.00920885 0.00366914i
\(656\) −10111.8 + 6855.96i −0.601827 + 0.408049i
\(657\) −649.929 + 611.932i −0.0385938 + 0.0363375i
\(658\) 3825.70 4503.96i 0.226658 0.266843i
\(659\) 1357.17 3406.23i 0.0802242 0.201348i −0.883393 0.468632i \(-0.844747\pi\)
0.963618 + 0.267284i \(0.0861263\pi\)
\(660\) 59.0340 47.3063i 0.00348166 0.00278999i
\(661\) −9302.67 + 3134.44i −0.547401 + 0.184441i −0.579395 0.815047i \(-0.696711\pi\)
0.0319936 + 0.999488i \(0.489814\pi\)
\(662\) 6517.98 + 7673.56i 0.382671 + 0.450516i
\(663\) 28084.9 + 18011.3i 1.64514 + 1.05506i
\(664\) 26737.8 2907.91i 1.56269 0.169953i
\(665\) 1279.00 5810.56i 0.0745828 0.338833i
\(666\) 14608.9 4873.24i 0.849976 0.283535i
\(667\) 3736.27 3944.33i 0.216895 0.228973i
\(668\) −10310.1 5466.07i −0.597170 0.316600i
\(669\) −653.547 25550.8i −0.0377692 1.47661i
\(670\) −43.7389 26.3169i −0.00252206 0.00151748i
\(671\) −1466.52 + 240.424i −0.0843734 + 0.0138323i
\(672\) −10826.3 3995.96i −0.621480 0.229386i
\(673\) 17513.8 4862.69i 1.00313 0.278518i 0.273141 0.961974i \(-0.411938\pi\)
0.729992 + 0.683456i \(0.239524\pi\)
\(674\) −1381.46 + 1817.28i −0.0789494 + 0.103856i
\(675\) 15001.3 7355.49i 0.855409 0.419426i
\(676\) 2867.96 10329.5i 0.163175 0.587702i
\(677\) 22444.7 11899.4i 1.27418 0.675527i 0.312556 0.949899i \(-0.398815\pi\)
0.961624 + 0.274372i \(0.0884700\pi\)
\(678\) 20653.7 11636.0i 1.16991 0.659111i
\(679\) 25790.3 1398.31i 1.45764 0.0790311i
\(680\) 2318.25 + 4372.68i 0.130736 + 0.246595i
\(681\) −20310.9 + 3865.53i −1.14290 + 0.217514i
\(682\) 650.485 + 855.698i 0.0365225 + 0.0480445i
\(683\) −11570.4 8795.60i −0.648213 0.492759i 0.228644 0.973510i \(-0.426571\pi\)
−0.876857 + 0.480751i \(0.840364\pi\)
\(684\) 9230.21 + 3709.99i 0.515974 + 0.207390i
\(685\) 1528.12 1447.51i 0.0852355 0.0807393i
\(686\) −2342.00 14285.6i −0.130347 0.795082i
\(687\) −3644.37 302.291i −0.202389 0.0167877i
\(688\) −1122.01 + 2425.18i −0.0621747 + 0.134388i
\(689\) −14215.5 + 26813.2i −0.786017 + 1.48258i
\(690\) 978.546 + 302.078i 0.0539893 + 0.0166665i
\(691\) −23890.0 16197.8i −1.31522 0.891743i −0.316833 0.948481i \(-0.602619\pi\)
−0.998389 + 0.0567389i \(0.981930\pi\)
\(692\) −3277.17 721.359i −0.180028 0.0396271i
\(693\) 556.310 918.305i 0.0304942 0.0503370i
\(694\) −12818.0 + 7712.31i −0.701100 + 0.421838i
\(695\) −106.248 + 90.2480i −0.00579888 + 0.00492562i
\(696\) 13861.8 13820.0i 0.754929 0.752653i
\(697\) −29120.4 + 6409.89i −1.58252 + 0.348338i
\(698\) −6930.34 2761.30i −0.375812 0.149737i
\(699\) −15307.0 3831.23i −0.828274 0.207311i
\(700\) 997.771 6086.13i 0.0538746 0.328620i
\(701\) 6537.57 + 9642.19i 0.352241 + 0.519516i 0.961992 0.273077i \(-0.0880412\pi\)
−0.609752 + 0.792592i \(0.708731\pi\)
\(702\) 24448.7 4576.56i 1.31447 0.246056i
\(703\) −10530.0 + 31251.9i −0.564931 + 1.67666i
\(704\) −1159.98 126.155i −0.0620999 0.00675377i
\(705\) 1107.35 1373.35i 0.0591564 0.0733667i
\(706\) 820.918 15140.9i 0.0437615 0.807134i
\(707\) −16252.1 −0.864529
\(708\) 5995.32 2701.40i 0.318246 0.143397i
\(709\) 4733.89 0.250755 0.125377 0.992109i \(-0.459986\pi\)
0.125377 + 0.992109i \(0.459986\pi\)
\(710\) −252.541 + 4657.85i −0.0133489 + 0.246206i
\(711\) −4555.72 + 20403.2i −0.240299 + 1.07620i
\(712\) −26247.7 2854.61i −1.38156 0.150254i
\(713\) 2491.47 7394.43i 0.130865 0.388392i
\(714\) 13510.0 + 12157.2i 0.708122 + 0.637217i
\(715\) 227.309 + 335.256i 0.0118893 + 0.0175354i
\(716\) −522.257 + 3185.63i −0.0272593 + 0.166274i
\(717\) 4226.24 16885.2i 0.220128 0.879483i
\(718\) 215.698 + 85.9420i 0.0112114 + 0.00446703i
\(719\) 8211.33 1807.45i 0.425913 0.0937504i 0.00315872 0.999995i \(-0.498995\pi\)
0.422754 + 0.906245i \(0.361064\pi\)
\(720\) 2104.53 + 716.185i 0.108932 + 0.0370703i
\(721\) 9084.70 7716.61i 0.469254 0.398588i
\(722\) 20627.5 12411.1i 1.06326 0.639743i
\(723\) −1238.00 1943.30i −0.0636816 0.0999612i
\(724\) 10378.0 + 2284.36i 0.532727 + 0.117262i
\(725\) 15076.4 + 10222.0i 0.772306 + 0.523636i
\(726\) −4639.21 + 15028.2i −0.237159 + 0.768249i
\(727\) −7522.46 + 14188.9i −0.383759 + 0.723846i −0.997860 0.0653813i \(-0.979174\pi\)
0.614102 + 0.789227i \(0.289518\pi\)
\(728\) 14900.0 32205.9i 0.758560 1.63960i
\(729\) −11769.2 15776.8i −0.597937 0.801543i
\(730\) −29.6789 181.033i −0.00150475 0.00917854i
\(731\) −4734.86 + 4485.10i −0.239569 + 0.226932i
\(732\) 6704.45 + 7495.88i 0.338529 + 0.378491i
\(733\) 25651.6 + 19499.8i 1.29258 + 0.982595i 0.999650 + 0.0264611i \(0.00842381\pi\)
0.292931 + 0.956134i \(0.405369\pi\)
\(734\) 3996.84 + 5257.76i 0.200989 + 0.264397i
\(735\) 2.22609 + 11.6967i 0.000111715 + 0.000586993i
\(736\) 1992.47 + 3758.20i 0.0997874 + 0.188219i
\(737\) 19.6970 1.06794i 0.000984459 5.33758e-5i
\(738\) −12530.3 + 18361.1i −0.624994 + 0.915830i
\(739\) 34312.1 18191.1i 1.70797 0.905510i 0.733905 0.679252i \(-0.237696\pi\)
0.974068 0.226257i \(-0.0726490\pi\)
\(740\) 454.027 1635.26i 0.0225546 0.0812342i
\(741\) −23737.8 + 47681.8i −1.17683 + 2.36388i
\(742\) −10004.6 + 13160.9i −0.494989 + 0.651147i
\(743\) −30100.5 + 8357.36i −1.48625 + 0.412654i −0.913418 0.407022i \(-0.866567\pi\)
−0.572827 + 0.819676i \(0.694153\pi\)
\(744\) 9734.25 26373.2i 0.479671 1.29958i
\(745\) −3381.91 + 554.436i −0.166314 + 0.0272657i
\(746\) −11170.5 6721.06i −0.548231 0.329860i
\(747\) 26092.3 13732.5i 1.27800 0.672616i
\(748\) −437.213 231.796i −0.0213718 0.0113306i
\(749\) −9842.69 + 10390.8i −0.480166 + 0.506905i
\(750\) −960.584 + 6971.59i −0.0467674 + 0.339422i
\(751\) 2123.05 9645.11i 0.103157 0.468649i −0.896514 0.443015i \(-0.853909\pi\)
0.999671 0.0256333i \(-0.00816023\pi\)
\(752\) −4700.57 + 511.218i −0.227942 + 0.0247902i
\(753\) 4634.10 7225.92i 0.224271 0.349704i
\(754\) 17555.5 + 20668.0i 0.847923 + 0.998252i
\(755\) −7356.94 + 2478.84i −0.354631 + 0.119489i
\(756\) −7263.87 + 163.848i −0.349450 + 0.00788241i
\(757\) 1822.26 4573.53i 0.0874917 0.219588i −0.878720 0.477338i \(-0.841602\pi\)
0.966212 + 0.257750i \(0.0829811\pi\)
\(758\) −7440.21 + 8759.29i −0.356518 + 0.419725i
\(759\) −378.495 + 115.591i −0.0181008 + 0.00552791i
\(760\) −6539.63 + 4433.98i −0.312128 + 0.211628i
\(761\) 8033.08 3200.67i 0.382653 0.152463i −0.170877 0.985292i \(-0.554660\pi\)
0.553530 + 0.832830i \(0.313281\pi\)
\(762\) −1542.06 11447.3i −0.0733108 0.544214i
\(763\) 1484.13 13646.4i 0.0704184 0.647487i
\(764\) −4407.45 + 2039.10i −0.208712 + 0.0965605i
\(765\) 4124.70 + 3525.05i 0.194939 + 0.166599i
\(766\) 15542.1i 0.733106i
\(767\) 11861.2 + 33150.7i 0.558385 + 1.56063i
\(768\) 8529.63 + 17263.9i 0.400764 + 0.811140i
\(769\) −13742.3 745.085i −0.644421 0.0349395i −0.270968 0.962588i \(-0.587344\pi\)
−0.373453 + 0.927649i \(0.621826\pi\)
\(770\) 92.6464 + 200.252i 0.00433603 + 0.00937218i
\(771\) −4339.58 + 1586.85i −0.202706 + 0.0741232i
\(772\) −12167.6 4099.75i −0.567257 0.191131i
\(773\) −9022.67 22645.2i −0.419823 1.05368i