Properties

Label 43.5.h.a.3.13
Level 43
Weight 5
Character 43.3
Analytic conductor 4.445
Analytic rank 0
Dimension 168
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.44490841261\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(14\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 3.13
Character \(\chi\) \(=\) 43.3
Dual form 43.5.h.a.29.13

$q$-expansion

\(f(q)\) \(=\) \(q+(2.55695 - 5.30956i) q^{2} +(11.5931 + 0.868784i) q^{3} +(-11.6776 - 14.6433i) q^{4} +(0.622954 - 2.01957i) q^{5} +(34.2559 - 59.3329i) q^{6} +(-3.58135 + 2.06769i) q^{7} +(-15.6817 + 3.57925i) q^{8} +(53.5501 + 8.07138i) q^{9} +O(q^{10})\) \(q+(2.55695 - 5.30956i) q^{2} +(11.5931 + 0.868784i) q^{3} +(-11.6776 - 14.6433i) q^{4} +(0.622954 - 2.01957i) q^{5} +(34.2559 - 59.3329i) q^{6} +(-3.58135 + 2.06769i) q^{7} +(-15.6817 + 3.57925i) q^{8} +(53.5501 + 8.07138i) q^{9} +(-9.13015 - 8.47154i) q^{10} +(-55.1945 + 69.2117i) q^{11} +(-122.658 - 179.906i) q^{12} +(-115.507 + 107.175i) q^{13} +(1.82121 + 24.3024i) q^{14} +(8.97654 - 22.8719i) q^{15} +(45.5899 - 199.742i) q^{16} +(-60.6163 + 18.6976i) q^{17} +(179.780 - 263.690i) q^{18} +(-10.3219 - 68.4814i) q^{19} +(-36.8477 + 14.4616i) q^{20} +(-43.3153 + 20.8596i) q^{21} +(226.354 + 470.030i) q^{22} +(249.120 + 634.748i) q^{23} +(-184.910 + 27.8707i) q^{24} +(512.709 + 349.559i) q^{25} +(273.707 + 887.336i) q^{26} +(-304.265 - 69.4465i) q^{27} +(72.0993 + 28.2969i) q^{28} +(339.526 - 25.4439i) q^{29} +(-98.4869 - 106.144i) q^{30} +(953.715 - 650.232i) q^{31} +(-1145.19 - 913.256i) q^{32} +(-700.006 + 754.427i) q^{33} +(-55.7165 + 369.655i) q^{34} +(1.94483 + 8.52085i) q^{35} +(-507.146 - 878.403i) q^{36} +(-1168.85 - 674.835i) q^{37} +(-389.999 - 120.299i) q^{38} +(-1432.20 + 1142.14i) q^{39} +(-2.54046 + 33.9000i) q^{40} +(-1687.28 - 812.554i) q^{41} +283.322i q^{42} +(1775.71 - 515.428i) q^{43} +1658.03 q^{44} +(49.6600 - 103.120i) q^{45} +(4007.22 + 300.300i) q^{46} +(-209.553 - 262.771i) q^{47} +(702.062 - 2276.03i) q^{48} +(-1191.95 + 2064.52i) q^{49} +(3166.97 - 1828.45i) q^{50} +(-718.975 + 164.101i) q^{51} +(2918.25 + 439.855i) q^{52} +(-4009.84 - 3720.59i) q^{53} +(-1146.72 + 1437.94i) q^{54} +(105.394 + 154.585i) q^{55} +(48.7609 - 45.2435i) q^{56} +(-60.1675 - 802.879i) q^{57} +(733.054 - 1867.79i) q^{58} +(-406.844 + 1782.50i) q^{59} +(-439.743 + 135.643i) q^{60} +(821.869 - 1205.46i) q^{61} +(-1013.84 - 6726.42i) q^{62} +(-208.471 + 81.8187i) q^{63} +(-4823.73 + 2322.99i) q^{64} +(144.492 + 300.040i) q^{65} +(2215.80 + 5645.76i) q^{66} +(-581.915 + 87.7096i) q^{67} +(981.648 + 669.276i) q^{68} +(2336.62 + 7575.13i) q^{69} +(50.2148 + 11.4612i) q^{70} +(-4953.14 - 1943.96i) q^{71} +(-868.649 + 65.0962i) q^{72} +(4548.85 + 4902.50i) q^{73} +(-6571.76 + 4480.55i) q^{74} +(5640.20 + 4497.91i) q^{75} +(-882.255 + 950.845i) q^{76} +(54.5622 - 361.996i) q^{77} +(2402.21 + 10524.8i) q^{78} +(-2227.61 - 3858.34i) q^{79} +(-374.993 - 216.502i) q^{80} +(-7658.72 - 2362.40i) q^{81} +(-8628.61 + 6881.08i) q^{82} +(418.780 - 5588.24i) q^{83} +(811.272 + 390.688i) q^{84} +134.066i q^{85} +(1803.70 - 10746.1i) q^{86} +3958.26 q^{87} +(617.820 - 1282.92i) q^{88} +(14293.8 + 1071.17i) q^{89} +(-420.544 - 527.345i) q^{90} +(192.067 - 622.666i) q^{91} +(6385.65 - 11060.3i) q^{92} +(11621.4 - 6709.64i) q^{93} +(-1931.01 + 440.741i) q^{94} +(-144.733 - 21.8150i) q^{95} +(-12482.8 - 11582.4i) q^{96} +(5977.38 - 7495.40i) q^{97} +(7913.92 + 11607.6i) q^{98} +(-3514.31 + 3260.80i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} + O(q^{10}) \) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} - 105q^{10} + 362q^{11} + 1124q^{12} - 166q^{13} - 876q^{14} + 1157q^{15} - 2752q^{16} - 37q^{17} + 988q^{18} - 1004q^{19} + 1909q^{20} - 2265q^{21} + 2338q^{22} - 976q^{23} + 3016q^{24} - 2199q^{25} + 1957q^{26} - 14q^{27} + 2022q^{28} + 571q^{29} - 7896q^{30} - 7476q^{31} + 21616q^{32} - 2900q^{33} - 1559q^{34} - 1623q^{35} - 9123q^{36} - 11949q^{37} - 19394q^{38} + 175q^{39} - 10317q^{40} - 4162q^{41} + 1005q^{43} + 744q^{44} + 16632q^{45} + 34415q^{46} + 8486q^{47} + 37831q^{48} + 20918q^{49} + 14433q^{50} + 25270q^{51} - 40864q^{52} - 7522q^{53} + 23330q^{54} - 30896q^{55} - 38943q^{56} + 14884q^{57} - 2644q^{58} - 2743q^{59} - 15231q^{60} - 164q^{61} + 15097q^{62} - 22771q^{63} - 7274q^{64} + 19138q^{65} + 16631q^{66} - 31599q^{67} - 17923q^{68} + 49515q^{69} + 69209q^{70} - 2057q^{71} + 62621q^{72} - 19678q^{73} - 86988q^{74} - 28525q^{75} - 38694q^{76} - 65721q^{77} - 112636q^{78} - 293q^{79} - 99738q^{80} - 38860q^{81} - 40460q^{82} - 45580q^{83} - 28041q^{84} + 6292q^{86} + 2598q^{87} + 48902q^{88} + 83608q^{89} + 180383q^{90} + 62161q^{91} + 39390q^{92} + 203670q^{93} + 199878q^{94} - 20897q^{95} + 59662q^{96} + 93627q^{97} - 40724q^{98} + 26734q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.55695 5.30956i 0.639238 1.32739i −0.289687 0.957121i \(-0.593551\pi\)
0.928925 0.370269i \(-0.120734\pi\)
\(3\) 11.5931 + 0.868784i 1.28812 + 0.0965315i 0.701114 0.713049i \(-0.252686\pi\)
0.587009 + 0.809580i \(0.300305\pi\)
\(4\) −11.6776 14.6433i −0.729851 0.915204i
\(5\) 0.622954 2.01957i 0.0249182 0.0807827i −0.942260 0.334883i \(-0.891303\pi\)
0.967178 + 0.254100i \(0.0817794\pi\)
\(6\) 34.2559 59.3329i 0.951552 1.64814i
\(7\) −3.58135 + 2.06769i −0.0730887 + 0.0421978i −0.536099 0.844155i \(-0.680103\pi\)
0.463010 + 0.886353i \(0.346769\pi\)
\(8\) −15.6817 + 3.57925i −0.245027 + 0.0559259i
\(9\) 53.5501 + 8.07138i 0.661113 + 0.0996467i
\(10\) −9.13015 8.47154i −0.0913015 0.0847154i
\(11\) −55.1945 + 69.2117i −0.456153 + 0.571998i −0.955720 0.294277i \(-0.904921\pi\)
0.499567 + 0.866275i \(0.333492\pi\)
\(12\) −122.658 179.906i −0.851792 1.24935i
\(13\) −115.507 + 107.175i −0.683476 + 0.634173i −0.943478 0.331435i \(-0.892467\pi\)
0.260002 + 0.965608i \(0.416277\pi\)
\(14\) 1.82121 + 24.3024i 0.00929189 + 0.123992i
\(15\) 8.97654 22.8719i 0.0398957 0.101653i
\(16\) 45.5899 199.742i 0.178086 0.780244i
\(17\) −60.6163 + 18.6976i −0.209745 + 0.0646977i −0.397847 0.917452i \(-0.630243\pi\)
0.188102 + 0.982149i \(0.439766\pi\)
\(18\) 179.780 263.690i 0.554878 0.813857i
\(19\) −10.3219 68.4814i −0.0285925 0.189699i 0.969975 0.243205i \(-0.0781986\pi\)
−0.998568 + 0.0535055i \(0.982961\pi\)
\(20\) −36.8477 + 14.4616i −0.0921192 + 0.0361541i
\(21\) −43.3153 + 20.8596i −0.0982207 + 0.0473006i
\(22\) 226.354 + 470.030i 0.467674 + 0.971136i
\(23\) 249.120 + 634.748i 0.470927 + 1.19990i 0.947211 + 0.320610i \(0.103888\pi\)
−0.476284 + 0.879291i \(0.658017\pi\)
\(24\) −184.910 + 27.8707i −0.321024 + 0.0483866i
\(25\) 512.709 + 349.559i 0.820334 + 0.559294i
\(26\) 273.707 + 887.336i 0.404892 + 1.31263i
\(27\) −304.265 69.4465i −0.417373 0.0952627i
\(28\) 72.0993 + 28.2969i 0.0919634 + 0.0360930i
\(29\) 339.526 25.4439i 0.403717 0.0302544i 0.128675 0.991687i \(-0.458928\pi\)
0.275041 + 0.961432i \(0.411308\pi\)
\(30\) −98.4869 106.144i −0.109430 0.117937i
\(31\) 953.715 650.232i 0.992420 0.676620i 0.0457926 0.998951i \(-0.485419\pi\)
0.946627 + 0.322331i \(0.104466\pi\)
\(32\) −1145.19 913.256i −1.11835 0.891851i
\(33\) −700.006 + 754.427i −0.642797 + 0.692771i
\(34\) −55.7165 + 369.655i −0.0481976 + 0.319770i
\(35\) 1.94483 + 8.52085i 0.00158761 + 0.00695579i
\(36\) −507.146 878.403i −0.391317 0.677780i
\(37\) −1168.85 674.835i −0.853797 0.492940i 0.00813338 0.999967i \(-0.497411\pi\)
−0.861930 + 0.507027i \(0.830744\pi\)
\(38\) −389.999 120.299i −0.270082 0.0833093i
\(39\) −1432.20 + 1142.14i −0.941619 + 0.750916i
\(40\) −2.54046 + 33.9000i −0.00158779 + 0.0211875i
\(41\) −1687.28 812.554i −1.00374 0.483375i −0.141533 0.989934i \(-0.545203\pi\)
−0.862206 + 0.506558i \(0.830917\pi\)
\(42\) 283.322i 0.160613i
\(43\) 1775.71 515.428i 0.960361 0.278760i
\(44\) 1658.03 0.856418
\(45\) 49.6600 103.120i 0.0245234 0.0509234i
\(46\) 4007.22 + 300.300i 1.89377 + 0.141919i
\(47\) −209.553 262.771i −0.0948631 0.118955i 0.732134 0.681160i \(-0.238524\pi\)
−0.826997 + 0.562206i \(0.809953\pi\)
\(48\) 702.062 2276.03i 0.304714 0.987860i
\(49\) −1191.95 + 2064.52i −0.496439 + 0.859857i
\(50\) 3166.97 1828.45i 1.26679 0.731381i
\(51\) −718.975 + 164.101i −0.276423 + 0.0630917i
\(52\) 2918.25 + 439.855i 1.07923 + 0.162668i
\(53\) −4009.84 3720.59i −1.42750 1.32452i −0.868812 0.495143i \(-0.835116\pi\)
−0.558685 0.829380i \(-0.688694\pi\)
\(54\) −1146.72 + 1437.94i −0.393251 + 0.493122i
\(55\) 105.394 + 154.585i 0.0348410 + 0.0511024i
\(56\) 48.7609 45.2435i 0.0155488 0.0144272i
\(57\) −60.1675 802.879i −0.0185188 0.247116i
\(58\) 733.054 1867.79i 0.217911 0.555229i
\(59\) −406.844 + 1782.50i −0.116876 + 0.512065i 0.882270 + 0.470743i \(0.156014\pi\)
−0.999146 + 0.0413222i \(0.986843\pi\)
\(60\) −439.743 + 135.643i −0.122151 + 0.0376786i
\(61\) 821.869 1205.46i 0.220873 0.323962i −0.699769 0.714369i \(-0.746714\pi\)
0.920642 + 0.390408i \(0.127666\pi\)
\(62\) −1013.84 6726.42i −0.263747 1.74985i
\(63\) −208.471 + 81.8187i −0.0525247 + 0.0206144i
\(64\) −4823.73 + 2322.99i −1.17767 + 0.567136i
\(65\) 144.492 + 300.040i 0.0341993 + 0.0710155i
\(66\) 2215.80 + 5645.76i 0.508677 + 1.29609i
\(67\) −581.915 + 87.7096i −0.129631 + 0.0195388i −0.213537 0.976935i \(-0.568499\pi\)
0.0839060 + 0.996474i \(0.473260\pi\)
\(68\) 981.648 + 669.276i 0.212294 + 0.144740i
\(69\) 2336.62 + 7575.13i 0.490783 + 1.59108i
\(70\) 50.2148 + 11.4612i 0.0102479 + 0.00233902i
\(71\) −4953.14 1943.96i −0.982571 0.385631i −0.180969 0.983489i \(-0.557923\pi\)
−0.801602 + 0.597858i \(0.796019\pi\)
\(72\) −868.649 + 65.0962i −0.167563 + 0.0125571i
\(73\) 4548.85 + 4902.50i 0.853604 + 0.919966i 0.997574 0.0696159i \(-0.0221774\pi\)
−0.143970 + 0.989582i \(0.545987\pi\)
\(74\) −6571.76 + 4480.55i −1.20010 + 0.818216i
\(75\) 5640.20 + 4497.91i 1.00270 + 0.799628i
\(76\) −882.255 + 950.845i −0.152745 + 0.164620i
\(77\) 54.5622 361.996i 0.00920260 0.0610552i
\(78\) 2402.21 + 10524.8i 0.394841 + 1.72991i
\(79\) −2227.61 3858.34i −0.356932 0.618224i 0.630515 0.776177i \(-0.282844\pi\)
−0.987447 + 0.157953i \(0.949511\pi\)
\(80\) −374.993 216.502i −0.0585926 0.0338285i
\(81\) −7658.72 2362.40i −1.16731 0.360067i
\(82\) −8628.61 + 6881.08i −1.28325 + 1.02336i
\(83\) 418.780 5588.24i 0.0607897 0.811183i −0.880600 0.473861i \(-0.842860\pi\)
0.941389 0.337322i \(-0.109521\pi\)
\(84\) 811.272 + 390.688i 0.114976 + 0.0553696i
\(85\) 134.066i 0.0185559i
\(86\) 1803.70 10746.1i 0.243875 1.45297i
\(87\) 3958.26 0.522957
\(88\) 617.820 1282.92i 0.0797804 0.165666i
\(89\) 14293.8 + 1071.17i 1.80455 + 0.135232i 0.934097 0.357021i \(-0.116207\pi\)
0.870452 + 0.492253i \(0.163826\pi\)
\(90\) −420.544 527.345i −0.0519190 0.0651043i
\(91\) 192.067 622.666i 0.0231937 0.0751921i
\(92\) 6385.65 11060.3i 0.754448 1.30674i
\(93\) 11621.4 6709.64i 1.34367 0.775771i
\(94\) −1931.01 + 440.741i −0.218539 + 0.0498801i
\(95\) −144.733 21.8150i −0.0160369 0.00241717i
\(96\) −12482.8 11582.4i −1.35448 1.25677i
\(97\) 5977.38 7495.40i 0.635284 0.796620i −0.355121 0.934820i \(-0.615560\pi\)
0.990404 + 0.138200i \(0.0441317\pi\)
\(98\) 7913.92 + 11607.6i 0.824024 + 1.20862i
\(99\) −3514.31 + 3260.80i −0.358566 + 0.332701i
\(100\) −868.531 11589.7i −0.0868531 1.15897i
\(101\) 3556.64 9062.18i 0.348656 0.888362i −0.643736 0.765248i \(-0.722617\pi\)
0.992392 0.123114i \(-0.0392882\pi\)
\(102\) −967.077 + 4237.04i −0.0929524 + 0.407251i
\(103\) −971.571 + 299.690i −0.0915799 + 0.0282487i −0.340207 0.940351i \(-0.610497\pi\)
0.248627 + 0.968599i \(0.420021\pi\)
\(104\) 1427.75 2094.13i 0.132004 0.193614i
\(105\) 15.1438 + 100.473i 0.00137359 + 0.00911317i
\(106\) −30007.6 + 11777.1i −2.67067 + 1.04816i
\(107\) 4772.52 2298.33i 0.416851 0.200745i −0.213689 0.976902i \(-0.568548\pi\)
0.630540 + 0.776157i \(0.282834\pi\)
\(108\) 2536.17 + 5266.40i 0.217435 + 0.451509i
\(109\) 4628.32 + 11792.8i 0.389557 + 0.992574i 0.982322 + 0.187199i \(0.0599410\pi\)
−0.592765 + 0.805375i \(0.701964\pi\)
\(110\) 1090.26 164.331i 0.0901045 0.0135811i
\(111\) −12964.3 8838.91i −1.05221 0.717385i
\(112\) 249.732 + 809.613i 0.0199085 + 0.0645418i
\(113\) 11682.8 + 2666.52i 0.914933 + 0.208827i 0.653969 0.756521i \(-0.273103\pi\)
0.260963 + 0.965349i \(0.415960\pi\)
\(114\) −4416.78 1733.46i −0.339857 0.133384i
\(115\) 1437.11 107.696i 0.108666 0.00814338i
\(116\) −4337.43 4674.64i −0.322342 0.347402i
\(117\) −7050.49 + 4806.94i −0.515048 + 0.351154i
\(118\) 8424.01 + 6717.93i 0.604999 + 0.482471i
\(119\) 178.427 192.298i 0.0125999 0.0135794i
\(120\) −58.9036 + 390.800i −0.00409053 + 0.0271389i
\(121\) 1514.10 + 6633.70i 0.103415 + 0.453091i
\(122\) −4298.99 7446.07i −0.288833 0.500273i
\(123\) −18854.9 10885.9i −1.24628 0.719539i
\(124\) −20658.6 6372.35i −1.34356 0.414435i
\(125\) 2058.08 1641.27i 0.131717 0.105041i
\(126\) −98.6276 + 1316.09i −0.00621237 + 0.0828984i
\(127\) 3174.39 + 1528.71i 0.196813 + 0.0947800i 0.529694 0.848189i \(-0.322307\pi\)
−0.332882 + 0.942969i \(0.608021\pi\)
\(128\) 8115.70i 0.495343i
\(129\) 21033.8 4432.70i 1.26397 0.266372i
\(130\) 1962.54 0.116127
\(131\) −9766.55 + 20280.4i −0.569113 + 1.18178i 0.395588 + 0.918428i \(0.370541\pi\)
−0.964701 + 0.263347i \(0.915173\pi\)
\(132\) 19221.7 + 1440.47i 1.10317 + 0.0826714i
\(133\) 178.565 + 223.913i 0.0100947 + 0.0126583i
\(134\) −1022.23 + 3313.98i −0.0569296 + 0.184561i
\(135\) −329.795 + 571.222i −0.0180957 + 0.0313428i
\(136\) 883.645 510.173i 0.0477749 0.0275829i
\(137\) −5543.63 + 1265.30i −0.295361 + 0.0674143i −0.367634 0.929971i \(-0.619832\pi\)
0.0722726 + 0.997385i \(0.476975\pi\)
\(138\) 46195.3 + 6962.82i 2.42571 + 0.365617i
\(139\) −7319.23 6791.25i −0.378822 0.351496i 0.467664 0.883906i \(-0.345096\pi\)
−0.846486 + 0.532411i \(0.821286\pi\)
\(140\) 102.062 127.982i 0.00520725 0.00652968i
\(141\) −2201.08 3228.38i −0.110712 0.162385i
\(142\) −22986.5 + 21328.4i −1.13998 + 1.05775i
\(143\) −1042.41 13910.0i −0.0509760 0.680227i
\(144\) 4053.54 10328.3i 0.195483 0.498084i
\(145\) 160.123 701.545i 0.00761585 0.0333672i
\(146\) 37661.3 11617.0i 1.76681 0.544989i
\(147\) −15612.0 + 22898.6i −0.722478 + 1.05968i
\(148\) 3767.57 + 24996.2i 0.172004 + 1.14117i
\(149\) −12456.4 + 4888.79i −0.561075 + 0.220206i −0.628893 0.777492i \(-0.716492\pi\)
0.0678179 + 0.997698i \(0.478396\pi\)
\(150\) 38303.6 18446.0i 1.70238 0.819824i
\(151\) −7645.29 15875.6i −0.335305 0.696268i 0.663340 0.748319i \(-0.269139\pi\)
−0.998644 + 0.0520508i \(0.983424\pi\)
\(152\) 406.978 + 1036.96i 0.0176150 + 0.0448824i
\(153\) −3396.92 + 512.004i −0.145112 + 0.0218721i
\(154\) −1782.53 1215.31i −0.0751615 0.0512442i
\(155\) −719.067 2331.16i −0.0299299 0.0970305i
\(156\) 33449.4 + 7634.61i 1.37448 + 0.313717i
\(157\) 40202.9 + 15778.5i 1.63102 + 0.640127i 0.991671 0.128793i \(-0.0411104\pi\)
0.639345 + 0.768920i \(0.279206\pi\)
\(158\) −26182.0 + 1962.07i −1.04879 + 0.0785959i
\(159\) −43254.1 46616.8i −1.71093 1.84395i
\(160\) −2557.78 + 1743.86i −0.0999132 + 0.0681197i
\(161\) −2204.65 1758.15i −0.0850526 0.0678272i
\(162\) −32126.3 + 34623.9i −1.22414 + 1.31931i
\(163\) −7591.51 + 50366.4i −0.285728 + 1.89568i 0.138885 + 0.990309i \(0.455648\pi\)
−0.424613 + 0.905375i \(0.639590\pi\)
\(164\) 7805.02 + 34196.0i 0.290193 + 1.27142i
\(165\) 1087.54 + 1883.68i 0.0399466 + 0.0691895i
\(166\) −28600.3 16512.4i −1.03790 0.599230i
\(167\) −46818.6 14441.6i −1.67875 0.517825i −0.698502 0.715609i \(-0.746149\pi\)
−0.980246 + 0.197784i \(0.936626\pi\)
\(168\) 604.598 482.151i 0.0214214 0.0170830i
\(169\) −278.928 + 3722.04i −0.00976606 + 0.130319i
\(170\) 711.834 + 342.801i 0.0246309 + 0.0118616i
\(171\) 3750.50i 0.128262i
\(172\) −28283.6 19983.2i −0.956042 0.675473i
\(173\) −8971.66 −0.299765 −0.149882 0.988704i \(-0.547889\pi\)
−0.149882 + 0.988704i \(0.547889\pi\)
\(174\) 10121.1 21016.6i 0.334294 0.694169i
\(175\) −2558.97 191.768i −0.0835581 0.00626181i
\(176\) 11308.2 + 14180.0i 0.365064 + 0.457775i
\(177\) −6265.19 + 20311.3i −0.199981 + 0.648321i
\(178\) 42236.1 73155.0i 1.33304 2.30890i
\(179\) −120.929 + 69.8183i −0.00377419 + 0.00217903i −0.501886 0.864934i \(-0.667360\pi\)
0.498112 + 0.867113i \(0.334027\pi\)
\(180\) −2089.92 + 477.011i −0.0645038 + 0.0147226i
\(181\) 62171.9 + 9370.90i 1.89774 + 0.286038i 0.990812 0.135247i \(-0.0431827\pi\)
0.906928 + 0.421285i \(0.138421\pi\)
\(182\) −2814.98 2611.92i −0.0849830 0.0788527i
\(183\) 10575.3 13261.0i 0.315784 0.395981i
\(184\) −6178.56 9062.29i −0.182495 0.267672i
\(185\) −2091.01 + 1940.18i −0.0610960 + 0.0566888i
\(186\) −5909.81 78861.0i −0.170824 2.27948i
\(187\) 2051.59 5227.36i 0.0586688 0.149486i
\(188\) −1400.75 + 6137.07i −0.0396318 + 0.173638i
\(189\) 1233.27 380.414i 0.0345251 0.0106496i
\(190\) −485.902 + 712.688i −0.0134599 + 0.0197420i
\(191\) 2459.29 + 16316.3i 0.0674129 + 0.447255i 0.996918 + 0.0784469i \(0.0249961\pi\)
−0.929505 + 0.368809i \(0.879766\pi\)
\(192\) −57940.2 + 22739.9i −1.57173 + 0.616858i
\(193\) 46353.7 22322.8i 1.24443 0.599285i 0.308416 0.951252i \(-0.400201\pi\)
0.936013 + 0.351966i \(0.114487\pi\)
\(194\) −24513.4 50902.6i −0.651329 1.35250i
\(195\) 1414.44 + 3603.93i 0.0371976 + 0.0947780i
\(196\) 44150.4 6654.60i 1.14927 0.173225i
\(197\) −6793.86 4631.98i −0.175059 0.119353i 0.472621 0.881266i \(-0.343308\pi\)
−0.647680 + 0.761913i \(0.724260\pi\)
\(198\) 8327.52 + 26997.1i 0.212415 + 0.688632i
\(199\) 13226.5 + 3018.87i 0.333995 + 0.0762322i 0.386230 0.922403i \(-0.373777\pi\)
−0.0522346 + 0.998635i \(0.516634\pi\)
\(200\) −9291.32 3646.58i −0.232283 0.0911644i
\(201\) −6822.41 + 511.269i −0.168867 + 0.0126549i
\(202\) −39022.0 42055.8i −0.956329 1.03068i
\(203\) −1163.35 + 793.158i −0.0282305 + 0.0192472i
\(204\) 10798.9 + 8611.83i 0.259489 + 0.206936i
\(205\) −2692.11 + 2901.40i −0.0640597 + 0.0690399i
\(206\) −893.036 + 5924.91i −0.0210443 + 0.139620i
\(207\) 8217.13 + 36001.6i 0.191769 + 0.840196i
\(208\) 16141.5 + 27957.9i 0.373093 + 0.646215i
\(209\) 5309.43 + 3065.40i 0.121550 + 0.0701769i
\(210\) 572.188 + 176.497i 0.0129748 + 0.00400219i
\(211\) 51274.1 40889.7i 1.15168 0.918436i 0.154109 0.988054i \(-0.450749\pi\)
0.997574 + 0.0696178i \(0.0221780\pi\)
\(212\) −7656.18 + 102165.i −0.170349 + 2.27315i
\(213\) −55733.4 26839.8i −1.22845 0.591589i
\(214\) 31216.7i 0.681647i
\(215\) 65.2430 3907.25i 0.00141142 0.0845267i
\(216\) 5019.97 0.107595
\(217\) −2071.11 + 4300.70i −0.0439828 + 0.0913312i
\(218\) 74448.9 + 5579.17i 1.56655 + 0.117397i
\(219\) 48476.2 + 60787.2i 1.01074 + 1.26743i
\(220\) 1032.87 3348.49i 0.0213404 0.0691838i
\(221\) 4997.71 8656.28i 0.102326 0.177234i
\(222\) −80079.8 + 46234.1i −1.62486 + 0.938115i
\(223\) −24718.3 + 5641.80i −0.497061 + 0.113451i −0.463700 0.885992i \(-0.653478\pi\)
−0.0333613 + 0.999443i \(0.510621\pi\)
\(224\) 5989.64 + 902.793i 0.119373 + 0.0179925i
\(225\) 24634.2 + 22857.2i 0.486601 + 0.451500i
\(226\) 44030.3 55212.3i 0.862055 1.08098i
\(227\) 2602.04 + 3816.49i 0.0504966 + 0.0740649i 0.850657 0.525722i \(-0.176205\pi\)
−0.800160 + 0.599786i \(0.795252\pi\)
\(228\) −11054.2 + 10256.8i −0.212645 + 0.197306i
\(229\) 2881.91 + 38456.4i 0.0549553 + 0.733327i 0.954825 + 0.297169i \(0.0960424\pi\)
−0.899870 + 0.436159i \(0.856339\pi\)
\(230\) 3102.79 7905.78i 0.0586539 0.149448i
\(231\) 947.042 4149.26i 0.0177478 0.0777583i
\(232\) −5233.28 + 1614.25i −0.0972295 + 0.0299913i
\(233\) −58489.8 + 85788.8i −1.07738 + 1.58023i −0.297044 + 0.954864i \(0.596001\pi\)
−0.780335 + 0.625361i \(0.784952\pi\)
\(234\) 7495.01 + 49726.1i 0.136880 + 0.908141i
\(235\) −661.224 + 259.511i −0.0119733 + 0.00469917i
\(236\) 30852.6 14857.8i 0.553946 0.266766i
\(237\) −22472.9 46665.4i −0.400094 0.830804i
\(238\) −564.792 1439.07i −0.00997090 0.0254054i
\(239\) −85140.9 + 12832.9i −1.49054 + 0.224662i −0.843224 0.537563i \(-0.819345\pi\)
−0.647312 + 0.762225i \(0.724107\pi\)
\(240\) −4159.24 2835.72i −0.0722090 0.0492313i
\(241\) −14955.8 48485.6i −0.257500 0.834794i −0.988342 0.152248i \(-0.951349\pi\)
0.730843 0.682546i \(-0.239127\pi\)
\(242\) 39093.5 + 8922.84i 0.667535 + 0.152360i
\(243\) −63204.1 24805.8i −1.07037 0.420088i
\(244\) −27249.4 + 2042.06i −0.457695 + 0.0342995i
\(245\) 3426.90 + 3693.32i 0.0570912 + 0.0615297i
\(246\) −106011. + 72276.8i −1.75178 + 1.19434i
\(247\) 8531.77 + 6803.86i 0.139844 + 0.111522i
\(248\) −12628.6 + 13610.4i −0.205329 + 0.221292i
\(249\) 9709.94 64421.2i 0.156609 1.03904i
\(250\) −3451.99 15124.2i −0.0552318 0.241987i
\(251\) 24727.2 + 42828.7i 0.392489 + 0.679811i 0.992777 0.119973i \(-0.0382808\pi\)
−0.600288 + 0.799784i \(0.704948\pi\)
\(252\) 3632.53 + 2097.24i 0.0572016 + 0.0330254i
\(253\) −57682.1 17792.6i −0.901156 0.277970i
\(254\) 16233.5 12945.8i 0.251620 0.200660i
\(255\) −116.475 + 1554.25i −0.00179123 + 0.0239023i
\(256\) −34088.9 16416.4i −0.520156 0.250494i
\(257\) 75743.1i 1.14677i 0.819285 + 0.573386i \(0.194370\pi\)
−0.819285 + 0.573386i \(0.805630\pi\)
\(258\) 30246.6 123014.i 0.454398 1.84806i
\(259\) 5581.40 0.0832039
\(260\) 2706.25 5619.59i 0.0400333 0.0831300i
\(261\) 18387.0 + 1377.92i 0.269917 + 0.0202275i
\(262\) 82707.7 + 103712.i 1.20488 + 1.51087i
\(263\) 8067.56 26154.4i 0.116635 0.378123i −0.878365 0.477990i \(-0.841366\pi\)
0.995001 + 0.0998671i \(0.0318418\pi\)
\(264\) 8277.03 14336.2i 0.118759 0.205697i
\(265\) −10011.9 + 5780.38i −0.142569 + 0.0823123i
\(266\) 1645.46 375.566i 0.0232554 0.00530790i
\(267\) 164779. + 24836.5i 2.31143 + 0.348392i
\(268\) 8079.74 + 7496.90i 0.112494 + 0.104379i
\(269\) 28586.3 35846.0i 0.395051 0.495378i −0.544034 0.839063i \(-0.683104\pi\)
0.939085 + 0.343685i \(0.111675\pi\)
\(270\) 2189.67 + 3211.65i 0.0300366 + 0.0440556i
\(271\) 83431.8 77413.4i 1.13604 1.05409i 0.138068 0.990423i \(-0.455911\pi\)
0.997971 0.0636671i \(-0.0202796\pi\)
\(272\) 971.223 + 12960.1i 0.0131275 + 0.175174i
\(273\) 2767.61 7051.77i 0.0371347 0.0946178i
\(274\) −7456.62 + 32669.6i −0.0993209 + 0.435153i
\(275\) −52492.3 + 16191.7i −0.694113 + 0.214105i
\(276\) 83638.5 122675.i 1.09796 1.61042i
\(277\) −6687.53 44368.9i −0.0871578 0.578254i −0.989196 0.146598i \(-0.953168\pi\)
0.902038 0.431656i \(-0.142071\pi\)
\(278\) −54773.5 + 21497.0i −0.708730 + 0.278156i
\(279\) 56319.8 27122.2i 0.723524 0.348431i
\(280\) −60.9966 126.661i −0.000778017 0.00161557i
\(281\) 18884.4 + 48116.6i 0.239161 + 0.609372i 0.999178 0.0405307i \(-0.0129049\pi\)
−0.760017 + 0.649903i \(0.774810\pi\)
\(282\) −22769.3 + 3431.93i −0.286320 + 0.0431559i
\(283\) −30043.7 20483.5i −0.375129 0.255759i 0.361049 0.932547i \(-0.382419\pi\)
−0.736178 + 0.676788i \(0.763371\pi\)
\(284\) 29374.9 + 95231.0i 0.364199 + 1.18071i
\(285\) −1658.95 378.645i −0.0204241 0.00466168i
\(286\) −76521.2 30032.4i −0.935513 0.367162i
\(287\) 7722.86 578.748i 0.0937593 0.00702629i
\(288\) −53953.6 58148.2i −0.650483 0.701054i
\(289\) −65683.6 + 44782.3i −0.786432 + 0.536180i
\(290\) −3315.47 2644.00i −0.0394230 0.0314388i
\(291\) 75808.3 81702.0i 0.895223 0.964820i
\(292\) 18668.8 123860.i 0.218953 1.45266i
\(293\) −24798.3 108649.i −0.288860 1.26558i −0.886092 0.463509i \(-0.846590\pi\)
0.597232 0.802068i \(-0.296267\pi\)
\(294\) 81662.5 + 141444.i 0.944774 + 1.63640i
\(295\) 3346.43 + 1932.06i 0.0384537 + 0.0222012i
\(296\) 20745.0 + 6398.98i 0.236771 + 0.0730343i
\(297\) 21600.3 17225.6i 0.244876 0.195282i
\(298\) −5893.14 + 78638.5i −0.0663612 + 0.885529i
\(299\) −96804.5 46618.6i −1.08281 0.521455i
\(300\) 135116.i 1.50129i
\(301\) −5293.68 + 5517.54i −0.0584285 + 0.0608993i
\(302\) −103841. −1.13856
\(303\) 49105.6 101969.i 0.534867 1.11066i
\(304\) −14149.2 1060.34i −0.153103 0.0114735i
\(305\) −1922.52 2410.77i −0.0206667 0.0259153i
\(306\) −5967.25 + 19345.3i −0.0637281 + 0.206602i
\(307\) −65309.1 + 113119.i −0.692942 + 1.20021i 0.277928 + 0.960602i \(0.410352\pi\)
−0.970870 + 0.239608i \(0.922981\pi\)
\(308\) −5937.97 + 3428.29i −0.0625945 + 0.0361390i
\(309\) −11523.9 + 2630.25i −0.120693 + 0.0275474i
\(310\) −14216.0 2142.72i −0.147930 0.0222968i
\(311\) −86223.8 80004.0i −0.891470 0.827163i 0.0942515 0.995548i \(-0.469954\pi\)
−0.985721 + 0.168385i \(0.946145\pi\)
\(312\) 18371.4 23037.0i 0.188727 0.236656i
\(313\) 9131.52 + 13393.5i 0.0932083 + 0.136711i 0.870010 0.493033i \(-0.164112\pi\)
−0.776802 + 0.629745i \(0.783160\pi\)
\(314\) 186574. 173115.i 1.89230 1.75580i
\(315\) 35.3707 + 471.990i 0.000356470 + 0.00475676i
\(316\) −30485.5 + 77675.7i −0.305294 + 0.777877i
\(317\) 19754.3 86549.1i 0.196581 0.861279i −0.776371 0.630276i \(-0.782942\pi\)
0.972953 0.231004i \(-0.0742010\pi\)
\(318\) −358114. + 110463.i −3.54133 + 1.09236i
\(319\) −16978.9 + 24903.5i −0.166851 + 0.244726i
\(320\) 1686.47 + 11189.0i 0.0164694 + 0.109267i
\(321\) 57325.1 22498.5i 0.556333 0.218345i
\(322\) −14972.2 + 7210.22i −0.144402 + 0.0695403i
\(323\) 1906.12 + 3958.09i 0.0182702 + 0.0379385i
\(324\) 54842.3 + 139736.i 0.522427 + 1.33112i
\(325\) −96685.8 + 14573.0i −0.915368 + 0.137970i
\(326\) 248012. + 169092.i 2.33366 + 1.59106i
\(327\) 43411.3 + 140736.i 0.405982 + 1.31616i
\(328\) 29367.9 + 6703.03i 0.272976 + 0.0623051i
\(329\) 1293.81 + 507.783i 0.0119530 + 0.00469122i
\(330\) 12782.3 957.903i 0.117377 0.00879617i
\(331\) 30921.2 + 33325.1i 0.282228 + 0.304169i 0.858216 0.513289i \(-0.171573\pi\)
−0.575988 + 0.817458i \(0.695383\pi\)
\(332\) −86720.4 + 59124.9i −0.786765 + 0.536407i
\(333\) −57145.1 45571.7i −0.515336 0.410967i
\(334\) −196391. + 211660.i −1.76047 + 1.89734i
\(335\) −185.371 + 1229.86i −0.00165178 + 0.0109588i
\(336\) 2191.80 + 9602.89i 0.0194143 + 0.0850597i
\(337\) 36575.1 + 63350.0i 0.322052 + 0.557810i 0.980911 0.194456i \(-0.0622941\pi\)
−0.658859 + 0.752266i \(0.728961\pi\)
\(338\) 19049.2 + 10998.1i 0.166741 + 0.0962682i
\(339\) 133123. + 41063.0i 1.15839 + 0.357315i
\(340\) 1963.17 1565.58i 0.0169824 0.0135430i
\(341\) −7636.17 + 101898.i −0.0656699 + 0.876304i
\(342\) −19913.5 9589.83i −0.170253 0.0819896i
\(343\) 19787.4i 0.168190i
\(344\) −26001.3 + 14438.5i −0.219725 + 0.122013i
\(345\) 16754.1 0.140761
\(346\) −22940.1 + 47635.6i −0.191621 + 0.397905i
\(347\) 33229.5 + 2490.20i 0.275972 + 0.0206812i 0.211997 0.977270i \(-0.432003\pi\)
0.0639746 + 0.997952i \(0.479622\pi\)
\(348\) −46223.1 57961.9i −0.381681 0.478613i
\(349\) 39454.0 127907.i 0.323922 1.05013i −0.636429 0.771335i \(-0.719589\pi\)
0.960351 0.278794i \(-0.0899346\pi\)
\(350\) −7561.36 + 13096.7i −0.0617254 + 0.106911i
\(351\) 42587.8 24588.1i 0.345678 0.199577i
\(352\) 126416. 28853.6i 1.02027 0.232871i
\(353\) 133678. + 20148.8i 1.07278 + 0.161696i 0.661600 0.749857i \(-0.269878\pi\)
0.411183 + 0.911553i \(0.365116\pi\)
\(354\) 91824.1 + 85200.3i 0.732740 + 0.679884i
\(355\) −7011.54 + 8792.20i −0.0556361 + 0.0697655i
\(356\) −151232. 221817.i −1.19329 1.75023i
\(357\) 2235.59 2074.32i 0.0175410 0.0162757i
\(358\) 61.4955 + 820.601i 0.000479819 + 0.00640274i
\(359\) −39882.3 + 101618.i −0.309450 + 0.788467i 0.688546 + 0.725193i \(0.258249\pi\)
−0.997996 + 0.0632739i \(0.979846\pi\)
\(360\) −409.662 + 1794.85i −0.00316097 + 0.0138491i
\(361\) 119948. 36999.1i 0.920405 0.283907i
\(362\) 208726. 306144.i 1.59279 2.33620i
\(363\) 11789.9 + 78220.6i 0.0894737 + 0.593619i
\(364\) −11360.7 + 4458.76i −0.0857440 + 0.0336520i
\(365\) 12734.7 6132.69i 0.0955876 0.0460325i
\(366\) −43369.6 90058.0i −0.323760 0.672295i
\(367\) 55205.8 + 140662.i 0.409876 + 1.04435i 0.975562 + 0.219726i \(0.0705162\pi\)
−0.565686 + 0.824621i \(0.691389\pi\)
\(368\) 138143. 20821.8i 1.02008 0.153753i
\(369\) −83795.9 57131.1i −0.615418 0.419585i
\(370\) 4954.87 + 16063.3i 0.0361933 + 0.117336i
\(371\) 22053.6 + 5033.60i 0.160226 + 0.0365705i
\(372\) −233962. 91823.2i −1.69067 0.663539i
\(373\) −79755.1 + 5976.82i −0.573246 + 0.0429588i −0.358199 0.933645i \(-0.616609\pi\)
−0.215046 + 0.976604i \(0.568990\pi\)
\(374\) −22509.2 24259.1i −0.160923 0.173433i
\(375\) 25285.5 17239.4i 0.179808 0.122591i
\(376\) 4226.67 + 3370.66i 0.0298967 + 0.0238418i
\(377\) −36490.8 + 39327.7i −0.256744 + 0.276704i
\(378\) 1133.58 7520.84i 0.00793359 0.0526360i
\(379\) −61133.1 267842.i −0.425597 1.86466i −0.497833 0.867273i \(-0.665871\pi\)
0.0722363 0.997388i \(-0.476986\pi\)
\(380\) 1370.69 + 2374.11i 0.00949232 + 0.0164412i
\(381\) 35473.0 + 20480.3i 0.244370 + 0.141087i
\(382\) 92920.8 + 28662.3i 0.636775 + 0.196419i
\(383\) −93680.4 + 74707.6i −0.638633 + 0.509292i −0.888434 0.459005i \(-0.848206\pi\)
0.249801 + 0.968297i \(0.419635\pi\)
\(384\) −7050.79 + 94086.2i −0.0478162 + 0.638063i
\(385\) −697.086 335.699i −0.00470289 0.00226479i
\(386\) 303196.i 2.03493i
\(387\) 99249.5 13268.8i 0.662684 0.0885951i
\(388\) −179559. −1.19273
\(389\) −94101.3 + 195403.i −0.621866 + 1.29132i 0.317454 + 0.948274i \(0.397172\pi\)
−0.939320 + 0.343044i \(0.888542\pi\)
\(390\) 22752.0 + 1705.02i 0.149586 + 0.0112099i
\(391\) −26969.0 33818.1i −0.176405 0.221205i
\(392\) 11302.4 36641.5i 0.0735527 0.238452i
\(393\) −130844. + 226628.i −0.847166 + 1.46734i
\(394\) −41965.3 + 24228.7i −0.270332 + 0.156077i
\(395\) −9179.87 + 2095.25i −0.0588359 + 0.0134289i
\(396\) 88787.5 + 13382.6i 0.566189 + 0.0853393i
\(397\) −27380.7 25405.6i −0.173726 0.161194i 0.588518 0.808484i \(-0.299712\pi\)
−0.762244 + 0.647290i \(0.775902\pi\)
\(398\) 49848.5 62508.0i 0.314692 0.394611i
\(399\) 1875.59 + 2750.98i 0.0117813 + 0.0172799i
\(400\) 93196.1 86473.3i 0.582476 0.540458i
\(401\) 10627.1 + 141809.i 0.0660886 + 0.881891i 0.927462 + 0.373918i \(0.121986\pi\)
−0.861373 + 0.507973i \(0.830395\pi\)
\(402\) −14729.9 + 37531.3i −0.0911484 + 0.232242i
\(403\) −40472.4 + 177321.i −0.249201 + 1.09182i
\(404\) −174233. + 53743.8i −1.06750 + 0.329280i
\(405\) −9542.06 + 13995.6i −0.0581744 + 0.0853262i
\(406\) 1236.70 + 8204.94i 0.00750258 + 0.0497764i
\(407\) 111220. 43650.8i 0.671423 0.263514i
\(408\) 10687.4 5146.79i 0.0642026 0.0309183i
\(409\) −36656.9 76118.9i −0.219134 0.455036i 0.762202 0.647340i \(-0.224118\pi\)
−0.981335 + 0.192304i \(0.938404\pi\)
\(410\) 8521.59 + 21712.6i 0.0506936 + 0.129165i
\(411\) −65367.2 + 9852.52i −0.386969 + 0.0583262i
\(412\) 15734.1 + 10727.3i 0.0926929 + 0.0631970i
\(413\) −2228.61 7224.98i −0.0130657 0.0423581i
\(414\) 212163. + 48424.9i 1.23785 + 0.282532i
\(415\) −11024.9 4326.97i −0.0640147 0.0251239i
\(416\) 230156. 17247.8i 1.32995 0.0996660i
\(417\) −78952.5 85090.5i −0.454040 0.489338i
\(418\) 29851.9 20352.7i 0.170852 0.116485i
\(419\) −164136. 130894.i −0.934924 0.745577i 0.0323061 0.999478i \(-0.489715\pi\)
−0.967230 + 0.253901i \(0.918286\pi\)
\(420\) 1294.41 1395.04i 0.00733790 0.00790837i
\(421\) 3235.52 21466.3i 0.0182549 0.121113i −0.977847 0.209319i \(-0.932875\pi\)
0.996102 + 0.0882058i \(0.0281133\pi\)
\(422\) −86001.1 376796.i −0.482925 2.11583i
\(423\) −9100.64 15762.8i −0.0508618 0.0880951i
\(424\) 76198.1 + 43993.0i 0.423850 + 0.244710i
\(425\) −37614.4 11602.5i −0.208246 0.0642353i
\(426\) −285015. + 227292.i −1.57054 + 1.25246i
\(427\) −450.878 + 6016.55i −0.00247288 + 0.0329983i
\(428\) −89386.7 43046.4i −0.487961 0.234990i
\(429\) 162165.i 0.881137i
\(430\) −20578.9 10337.0i −0.111298 0.0559062i
\(431\) 176031. 0.947621 0.473810 0.880627i \(-0.342878\pi\)
0.473810 + 0.880627i \(0.342878\pi\)
\(432\) −27742.8 + 57608.6i −0.148656 + 0.308688i
\(433\) −86024.8 6446.67i −0.458826 0.0343843i −0.156687 0.987648i \(-0.550082\pi\)
−0.302139 + 0.953264i \(0.597701\pi\)
\(434\) 17539.1 + 21993.3i 0.0931167 + 0.116765i
\(435\) 2465.82 7993.98i 0.0130311 0.0422459i
\(436\) 118637. 205485.i 0.624090 1.08096i
\(437\) 40897.0 23611.9i 0.214155 0.123643i
\(438\) 446704. 101957.i 2.32848 0.531460i
\(439\) −306164. 46146.8i −1.58864 0.239449i −0.705552 0.708658i \(-0.749301\pi\)
−0.883087 + 0.469210i \(0.844539\pi\)
\(440\) −2206.06 2046.93i −0.0113949 0.0105730i
\(441\) −80492.5 + 100934.i −0.413884 + 0.518994i
\(442\) −33182.2 48669.3i −0.169848 0.249121i
\(443\) −81792.8 + 75892.6i −0.416781 + 0.386716i −0.860500 0.509450i \(-0.829849\pi\)
0.443720 + 0.896166i \(0.353659\pi\)
\(444\) 21961.6 + 293057.i 0.111403 + 1.48657i
\(445\) 11067.7 28200.1i 0.0558905 0.142407i
\(446\) −33248.1 + 145669.i −0.167146 + 0.732316i
\(447\) −148656. + 45854.3i −0.743990 + 0.229491i
\(448\) 12472.2 18293.4i 0.0621425 0.0911462i
\(449\) −20672.6 137154.i −0.102542 0.680324i −0.979752 0.200216i \(-0.935836\pi\)
0.877209 0.480108i \(-0.159402\pi\)
\(450\) 184350. 72352.1i 0.910371 0.357294i
\(451\) 149367. 71931.4i 0.734348 0.353643i
\(452\) −97380.4 202212.i −0.476645 0.989763i
\(453\) −74840.2 190690.i −0.364702 0.929246i
\(454\) 26917.2 4057.11i 0.130592 0.0196836i
\(455\) −1137.87 775.784i −0.00549627 0.00374730i
\(456\) 3817.24 + 12375.2i 0.0183578 + 0.0595144i
\(457\) 273664. + 62462.0i 1.31034 + 0.299077i 0.819955 0.572427i \(-0.193998\pi\)
0.490387 + 0.871505i \(0.336855\pi\)
\(458\) 211556. + 83029.5i 1.00854 + 0.395823i
\(459\) 19741.9 1479.45i 0.0937052 0.00702223i
\(460\) −18359.0 19786.3i −0.0867627 0.0935080i
\(461\) −22256.5 + 15174.2i −0.104726 + 0.0714011i −0.614551 0.788877i \(-0.710663\pi\)
0.509825 + 0.860278i \(0.329710\pi\)
\(462\) −19609.2 15637.8i −0.0918706 0.0732643i
\(463\) 68349.9 73663.7i 0.318842 0.343630i −0.553211 0.833041i \(-0.686598\pi\)
0.872053 + 0.489411i \(0.162788\pi\)
\(464\) 10396.7 68977.7i 0.0482903 0.320385i
\(465\) −6310.95 27650.1i −0.0291869 0.127876i
\(466\) 305946. + 529913.i 1.40887 + 2.44024i
\(467\) 62571.3 + 36125.5i 0.286907 + 0.165646i 0.636546 0.771239i \(-0.280362\pi\)
−0.349639 + 0.936884i \(0.613696\pi\)
\(468\) 152722. + 47108.6i 0.697286 + 0.215084i
\(469\) 1902.68 1517.34i 0.00865010 0.00689822i
\(470\) −312.826 + 4174.37i −0.00141614 + 0.0188971i
\(471\) 452369. + 217849.i 2.03916 + 0.982007i
\(472\) 29408.9i 0.132006i
\(473\) −62335.7 + 151349.i −0.278621 + 0.676482i
\(474\) −305235. −1.35856
\(475\) 18646.1 38719.1i 0.0826422 0.171608i
\(476\) −4899.48 367.165i −0.0216240 0.00162049i
\(477\) −184697. 231603.i −0.811752 1.01790i
\(478\) −149564. + 484874.i −0.654592 + 2.12214i
\(479\) 181472. 314318.i 0.790930 1.36993i −0.134462 0.990919i \(-0.542931\pi\)
0.925392 0.379012i \(-0.123736\pi\)
\(480\) −31167.7 + 17994.7i −0.135276 + 0.0781018i
\(481\) 207336. 47323.1i 0.896159 0.204542i
\(482\) −295679. 44566.4i −1.27270 0.191829i
\(483\) −24031.3 22297.8i −0.103011 0.0955800i
\(484\) 79458.0 99637.1i 0.339193 0.425334i
\(485\) −11413.8 16741.0i −0.0485230 0.0711702i
\(486\) −293318. + 272159.i −1.24184 + 1.15226i
\(487\) 25527.1 + 340636.i 0.107633 + 1.43626i 0.745702 + 0.666280i \(0.232114\pi\)
−0.638069 + 0.769979i \(0.720267\pi\)
\(488\) −8573.69 + 21845.4i −0.0360021 + 0.0917319i
\(489\) −131767. + 577308.i −0.551046 + 2.41429i
\(490\) 28372.3 8751.70i 0.118169 0.0364502i
\(491\) −239614. + 351449.i −0.993914 + 1.45780i −0.107891 + 0.994163i \(0.534410\pi\)
−0.886023 + 0.463641i \(0.846543\pi\)
\(492\) 60775.5 + 403219.i 0.251072 + 1.66576i
\(493\) −20105.0 + 7890.64i −0.0827201 + 0.0324652i
\(494\) 57940.8 27902.8i 0.237427 0.114339i
\(495\) 4396.16 + 9128.71i 0.0179417 + 0.0372562i
\(496\) −86399.2 220141.i −0.351193 0.894826i
\(497\) 21758.4 3279.56i 0.0880876 0.0132771i
\(498\) −317221. 216277.i −1.27909 0.872072i
\(499\) −99320.5 321989.i −0.398876 1.29312i −0.903055 0.429525i \(-0.858681\pi\)
0.504179 0.863599i \(-0.331795\pi\)
\(500\) −48067.0 10971.0i −0.192268 0.0438839i
\(501\) −530226. 208099.i −2.11245 0.829074i
\(502\) 290628. 21779.6i 1.15327 0.0864255i
\(503\) 105744. + 113965.i 0.417946 + 0.450439i 0.906570 0.422056i \(-0.138691\pi\)
−0.488624 + 0.872495i \(0.662501\pi\)
\(504\) 2976.33 2029.23i 0.0117171 0.00798859i
\(505\) −16086.1 12828.2i −0.0630764 0.0503017i
\(506\) −241961. + 260772.i −0.945027 + 1.01850i
\(507\) −6467.30 + 42907.7i −0.0251598 + 0.166924i
\(508\) −14684.1 64335.1i −0.0569009 0.249299i
\(509\) −168598. 292020.i −0.650752 1.12714i −0.982941 0.183923i \(-0.941120\pi\)
0.332188 0.943213i \(-0.392213\pi\)
\(510\) 7954.55 + 4592.56i 0.0305826 + 0.0176569i
\(511\) −26427.9 8151.92i −0.101209 0.0312189i
\(512\) −275849. + 219982.i −1.05228 + 0.839166i
\(513\) −1615.20 + 21553.3i −0.00613749 + 0.0818991i
\(514\) 402163. + 193671.i 1.52221 + 0.733059i
\(515\) 2148.85i 0.00810197i
\(516\) −310533. 256239.i −1.16630 0.962380i
\(517\) 29753.0 0.111314
\(518\) 14271.4 29634.8i 0.0531870 0.110444i
\(519\) −104009. 7794.43i −0.386134 0.0289367i
\(520\) −3339.80 4187.98i −0.0123513 0.0154881i
\(521\) 24361.1 78976.9i 0.0897475 0.290954i −0.899560 0.436796i \(-0.856113\pi\)
0.989308 + 0.145842i \(0.0465892\pi\)
\(522\) 54330.8 94103.7i 0.199391 0.345355i
\(523\) 385496. 222566.i 1.40934 0.813685i 0.414019 0.910268i \(-0.364125\pi\)
0.995325 + 0.0965833i \(0.0307914\pi\)
\(524\) 411022. 93813.1i 1.49693 0.341665i
\(525\) −29499.8 4446.38i −0.107029 0.0161320i
\(526\) −118240. 109711.i −0.427359 0.396531i
\(527\) −45652.8 + 57246.9i −0.164379 + 0.206125i
\(528\) 118778. + 174215.i 0.426057 + 0.624911i
\(529\) −135706. + 125917.i −0.484940 + 0.449959i
\(530\) 5091.33 + 67939.0i 0.0181250 + 0.241862i
\(531\) −36173.8 + 92169.3i −0.128294 + 0.326887i
\(532\) 1193.61 5229.54i 0.00421734 0.0184774i
\(533\) 281980. 86979.2i 0.992575 0.306169i
\(534\) 553203. 811400.i 1.94000 2.84546i
\(535\) −1668.56 11070.2i −0.00582955 0.0386765i
\(536\) 8811.51 3458.26i 0.0306705 0.0120373i
\(537\) −1462.60 + 704.350i −0.00507197 + 0.00244253i
\(538\) −117233. 243437.i −0.405029 0.841051i
\(539\) −77099.7 196447.i −0.265384 0.676188i
\(540\) 12215.8 1841.23i 0.0418922 0.00631423i
\(541\) −229611. 156546.i −0.784510 0.534870i 0.103535 0.994626i \(-0.466985\pi\)
−0.888045 + 0.459756i \(0.847937\pi\)
\(542\) −197700. 640929.i −0.672990 2.18178i
\(543\) 712624. + 162652.i 2.41691 + 0.551644i
\(544\) 86492.6 + 33945.9i 0.292268 + 0.114707i
\(545\) 26699.5 2000.85i 0.0898899 0.00673631i
\(546\) −30365.1 32725.8i −0.101857 0.109776i
\(547\) 16681.0 11372.9i 0.0557504 0.0380100i −0.535124 0.844773i \(-0.679735\pi\)
0.590875 + 0.806763i \(0.298783\pi\)
\(548\) 83264.5 + 66401.2i 0.277267 + 0.221113i
\(549\) 53740.9 57919.0i 0.178304 0.192166i
\(550\) −48249.2 + 320112.i −0.159501 + 1.05822i
\(551\) −5246.99 22988.6i −0.0172825 0.0757196i
\(552\) −63755.6 110428.i −0.209238 0.362410i
\(553\) 15955.7 + 9212.03i 0.0521754 + 0.0301235i
\(554\) −252679. 77941.1i −0.823284 0.253949i
\(555\) −25926.9 + 20676.0i −0.0841715 + 0.0671245i
\(556\) −13975.0 + 186483.i −0.0452065 + 0.603239i
\(557\) 412489. + 198644.i 1.32954 + 0.640273i 0.957632 0.287996i \(-0.0929890\pi\)
0.371909 + 0.928269i \(0.378703\pi\)
\(558\) 368384.i 1.18313i
\(559\) −149866. + 249848.i −0.479601 + 0.799561i
\(560\) 1790.64 0.00570995
\(561\) 28325.7 58819.0i 0.0900027 0.186893i
\(562\) 303765. + 22764.0i 0.961755 + 0.0720736i
\(563\) −93731.9 117536.i −0.295713 0.370812i 0.611673 0.791111i \(-0.290497\pi\)
−0.907386 + 0.420298i \(0.861925\pi\)
\(564\) −21570.8 + 69930.7i −0.0678122 + 0.219842i
\(565\) 12663.0 21933.0i 0.0396681 0.0687071i
\(566\) −185578. + 107144.i −0.579288 + 0.334452i
\(567\) 32313.2 7375.28i 0.100511 0.0229410i
\(568\) 84631.8 + 12756.2i 0.262323 + 0.0395389i
\(569\) 25282.6 + 23458.8i 0.0780904 + 0.0724573i 0.718252 0.695783i \(-0.244942\pi\)
−0.640162 + 0.768240i \(0.721133\pi\)
\(570\) −6252.29 + 7840.12i −0.0192437 + 0.0241309i
\(571\) −319267. 468278.i −0.979223 1.43626i −0.898222 0.439542i \(-0.855141\pi\)
−0.0810006 0.996714i \(-0.525812\pi\)
\(572\) −191514. + 177699.i −0.585342 + 0.543118i
\(573\) 14335.5 + 191294.i 0.0436619 + 0.582628i
\(574\) 16674.1 42484.8i 0.0506078 0.128947i
\(575\) −94155.7 + 412523.i −0.284781 + 1.24771i
\(576\) −277061. + 85462.1i −0.835085 + 0.257590i
\(577\) 87698.8 128630.i 0.263416 0.386360i −0.671630 0.740887i \(-0.734406\pi\)
0.935046 + 0.354527i \(0.115358\pi\)
\(578\) 69824.8 + 463257.i 0.209004 + 1.38665i
\(579\) 556777. 218519.i 1.66083 0.651827i
\(580\) −12142.8 + 5847.65i −0.0360962 + 0.0173830i
\(581\) 10055.0 + 20879.3i 0.0297871 + 0.0618535i
\(582\) −239963. 611417.i −0.708434 1.80506i
\(583\) 478829. 72171.9i 1.40878 0.212340i
\(584\) −88881.2 60598.2i −0.260606 0.177678i
\(585\) 5315.82 + 17233.4i 0.0155331 + 0.0503571i
\(586\) −640284. 146141.i −1.86457 0.425575i
\(587\) 151234. + 59355.0i 0.438908 + 0.172259i 0.574497 0.818507i \(-0.305198\pi\)
−0.135590 + 0.990765i \(0.543293\pi\)
\(588\) 517622. 38790.4i 1.49712 0.112194i
\(589\) −54372.9 58600.1i −0.156730 0.168915i
\(590\) 18815.1 12827.9i 0.0540508 0.0368512i
\(591\) −74737.8 59601.4i −0.213976 0.170640i
\(592\) −188081. + 202703.i −0.536662 + 0.578384i
\(593\) 65339.2 433497.i 0.185808 1.23275i −0.680314 0.732921i \(-0.738156\pi\)
0.866121 0.499834i \(-0.166606\pi\)
\(594\) −36229.8 158733.i −0.102682 0.449878i
\(595\) −277.208 480.138i −0.000783018 0.00135623i
\(596\) 217049. + 125313.i 0.611034 + 0.352781i
\(597\) 150714. + 46489.1i 0.422868 + 0.130438i
\(598\) −495049. + 394788.i −1.38435 + 1.10398i
\(599\) −5693.69 + 75977.0i −0.0158686 + 0.211752i 0.983633 + 0.180184i \(0.0576693\pi\)
−0.999502 + 0.0315685i \(0.989950\pi\)
\(600\) −104547. 50347.3i −0.290409 0.139854i
\(601\) 421287.i 1.16635i 0.812346 + 0.583175i \(0.198190\pi\)
−0.812346 + 0.583175i \(0.801810\pi\)
\(602\) 15760.0 + 42215.2i 0.0434875 + 0.116487i
\(603\) −31869.6 −0.0876479
\(604\) −143192. + 297341.i −0.392504 + 0.815044i
\(605\) 14340.4 + 1074.67i 0.0391788 + 0.00293604i
\(606\) −415850. 521459.i −1.13238 1.41996i
\(607\) −8034.82 + 26048.2i −0.0218071 + 0.0706970i −0.965822 0.259205i \(-0.916539\pi\)
0.944015 + 0.329902i \(0.107016\pi\)
\(608\) −50720.5 + 87850.4i −0.137207 + 0.237649i
\(609\) −14175.9 + 8184.47i −0.0382223 + 0.0220676i
\(610\) −17715.9 + 4043.54i −0.0476106 + 0.0108668i
\(611\) 52367.4 + 7893.12i 0.140274 + 0.0211430i
\(612\) 47165.4 + 43763.1i 0.125927 + 0.116844i
\(613\) −123142. + 154415.i −0.327706 + 0.410930i −0.918203 0.396109i \(-0.870360\pi\)
0.590497 + 0.807040i \(0.298932\pi\)
\(614\) 433618. + 636001.i 1.15019 + 1.68702i
\(615\) −33730.6 + 31297.4i −0.0891813 + 0.0827481i
\(616\) 440.048 + 5872.03i 0.00115968 + 0.0154749i
\(617\) −242787. + 618611.i −0.637757 + 1.62498i 0.135421 + 0.990788i \(0.456761\pi\)
−0.773178 + 0.634189i \(0.781334\pi\)
\(618\) −15500.5 + 67912.3i −0.0405854 + 0.177816i
\(619\) 252368. 77845.3i 0.658648 0.203166i 0.0526263 0.998614i \(-0.483241\pi\)
0.606021 + 0.795448i \(0.292765\pi\)
\(620\) −25738.8 + 37751.8i −0.0669583 + 0.0982097i
\(621\) −31717.5 210432.i −0.0822463 0.545669i
\(622\) −645256. + 253244.i −1.66783 + 0.654575i
\(623\) −53406.0 + 25719.0i −0.137599 + 0.0662640i
\(624\) 162841. + 338142.i 0.418209 + 0.868420i
\(625\) 139659. + 355845.i 0.357527 + 0.910963i
\(626\) 94462.4 14237.9i 0.241052 0.0363327i
\(627\) 58889.6 + 40150.3i 0.149797 + 0.102130i
\(628\) −238426. 772957.i −0.604552 1.95991i
\(629\) 83469.0 + 19051.3i 0.210972 + 0.0481529i
\(630\) 2596.50 + 1019.05i 0.00654195 + 0.00256753i
\(631\) −567040. + 42493.8i −1.42415 + 0.106725i −0.764391 0.644753i \(-0.776960\pi\)
−0.659758 + 0.751479i \(0.729341\pi\)
\(632\) 48742.8 + 52532.3i 0.122033 + 0.131520i
\(633\) 629950. 429493.i 1.57217 1.07189i
\(634\) −409027. 326188.i −1.01759 0.811502i
\(635\) 5064.83 5458.59i 0.0125608 0.0135373i
\(636\) −177518. + 1.17775e6i −0.438862 + 2.91166i
\(637\) −83586.1 366215.i −0.205994 0.902520i
\(638\) 88812.5 + 153828.i 0.218189 + 0.377914i
\(639\) −249551. 144078.i −0.611163 0.352855i
\(640\) 16390.2 + 5055.71i 0.0400151 + 0.0123430i
\(641\) −264334. + 210799.i −0.643335 + 0.513043i −0.889942 0.456073i \(-0.849256\pi\)
0.246607 + 0.969115i \(0.420684\pi\)
\(642\) 27120.6 361899.i 0.0658004 0.878046i
\(643\) −158693. 76422.5i −0.383827 0.184841i 0.232013 0.972713i \(-0.425469\pi\)
−0.615840 + 0.787871i \(0.711183\pi\)
\(644\) 52814.2i 0.127344i
\(645\) 4150.92 45240.5i 0.00997758 0.108745i
\(646\) 25889.6 0.0620383
\(647\) 185092. 384348.i 0.442160 0.918156i −0.554157 0.832412i \(-0.686959\pi\)
0.996317 0.0857434i \(-0.0273265\pi\)
\(648\) 128558. + 9634.06i 0.306160 + 0.0229435i
\(649\) −100914. 126543.i −0.239587 0.300433i
\(650\) −169844. + 550621.i −0.401998 + 1.30325i
\(651\) −27746.9 + 48059.1i −0.0654716 + 0.113400i
\(652\) 826179. 476995.i 1.94348 1.12207i
\(653\) 424152. 96810.0i 0.994707 0.227035i 0.305966 0.952042i \(-0.401021\pi\)
0.688742 + 0.725007i \(0.258163\pi\)
\(654\) 858247. + 129360.i 2.00658 + 0.302443i
\(655\) 34873.6 + 32358.0i 0.0812857 + 0.0754221i
\(656\) −239225. + 299978.i −0.555902 + 0.697079i
\(657\) 204022. + 299245.i 0.472657 + 0.693260i
\(658\) 6004.31 5571.18i 0.0138679 0.0128675i
\(659\) −37755.1 503807.i −0.0869370 1.16009i −0.854617 0.519260i \(-0.826208\pi\)
0.767680 0.640834i \(-0.221411\pi\)
\(660\) 14883.3 37922.1i 0.0341674 0.0870572i
\(661\) 23252.4 101876.i 0.0532188 0.233167i −0.941323 0.337508i \(-0.890416\pi\)
0.994542 + 0.104341i \(0.0332732\pi\)
\(662\) 256006. 78967.3i 0.584162 0.180190i
\(663\) 65459.4 96011.3i 0.148917 0.218421i
\(664\) 13434.5 + 89132.2i 0.0304709 + 0.202161i
\(665\) 563.445 221.136i 0.00127411 0.000500053i
\(666\) −388083. + 186891.i −0.874935 + 0.421347i
\(667\) 100733. + 209175.i 0.226423 + 0.470173i
\(668\) 335257. + 854220.i 0.751320 + 1.91433i
\(669\) −291464. + 43931.1i −0.651227 + 0.0981567i
\(670\) 6056.01 + 4128.92i 0.0134908 + 0.00919786i
\(671\) 38069.4 + 123418.i 0.0845533 + 0.274115i
\(672\) 68654.2 + 15669.9i 0.152030 + 0.0346998i
\(673\) −407753. 160031.i −0.900259 0.353326i −0.130342 0.991469i \(-0.541607\pi\)
−0.769917 + 0.638144i \(0.779703\pi\)
\(674\) 429881. 32215.1i 0.946300 0.0709154i
\(675\) −131724. 141964.i −0.289105 0.311582i
\(676\) 57760.0 39380.1i 0.126396 0.0861755i
\(677\) −576126. 459445.i −1.25701 1.00243i −0.999345 0.0362011i \(-0.988474\pi\)
−0.257669 0.966233i \(-0.582954\pi\)
\(678\) 558416. 601829.i 1.21478 1.30922i
\(679\) −5908.90 + 39203.0i −0.0128164 + 0.0850315i
\(680\) −479.858 2102.39i −0.00103775 0.00454670i
\(681\) 26850.0 + 46505.6i 0.0578962 + 0.100279i
\(682\) 521506. + 301092.i 1.12122 + 0.647336i
\(683\) −717174. 221219.i −1.53739 0.474221i −0.593595 0.804764i \(-0.702292\pi\)
−0.943791 + 0.330543i \(0.892768\pi\)
\(684\) −54919.5 + 43796.9i −0.117386 + 0.0936118i
\(685\) −898.074 + 11984.0i −0.00191395 + 0.0255399i
\(686\) −105062. 50595.4i −0.223254 0.107513i
\(687\) 448333.i 0.949921i
\(688\) −21998.5 378182.i −0.0464746 0.798959i
\(689\) 861921. 1.81564
\(690\) 42839.4 88956.9i 0.0899798 0.186845i
\(691\) −249849. 18723.6i −0.523266 0.0392134i −0.189521 0.981877i \(-0.560693\pi\)
−0.333745 + 0.942663i \(0.608312\pi\)
\(692\) 104768. + 131374.i 0.218783 + 0.274346i
\(693\) 5843.62 18944.6i 0.0121679 0.0394474i
\(694\) 98188.0 170067.i 0.203863 0.353102i
\(695\) −18274.9 + 10551.0i −0.0378343 + 0.0218437i
\(696\) −62072.5 + 14167.6i −0.128139 + 0.0292468i
\(697\) 117470. + 17705.7i 0.241802 + 0.0364458i
\(698\) −578247. 536535.i −1.18687 1.10125i
\(699\) −752611. + 943744.i −1.54034 + 1.93152i
\(700\) 27074.5 + 39711.0i 0.0552541 + 0.0810429i
\(701\) 391256. 363033.i 0.796206 0.738771i −0.173027 0.984917i \(-0.555355\pi\)
0.969233 + 0.246146i \(0.0791644\pi\)
\(702\) −21657.1 288993.i −0.0439466 0.586426i
\(703\) −34148.9 + 87009.9i −0.0690980 + 0.176059i
\(704\) 105466. 462075.i 0.212797 0.932325i
\(705\) −7891.11 + 2434.08i −0.0158767 + 0.00489731i
\(706\) 448790. 658254.i 0.900396 1.32064i
\(707\) 6000.22 + 39808.9i 0.0120041 + 0.0796418i
\(708\) 370586. 145444.i 0.739302 0.290155i
\(709\) −127378. + 61342.0i −0.253397 + 0.122030i −0.556271 0.831001i \(-0.687768\pi\)
0.302874 + 0.953031i \(0.402054\pi\)
\(710\) 28754.6 + 59709.4i 0.0570414 + 0.118448i
\(711\) −88146.8 224594.i −0.174368 0.444283i
\(712\) −227986. + 34363.4i −0.449726 + 0.0677854i
\(713\) 650323. + 443383.i 1.27923 + 0.872167i
\(714\) −5297.46 17173.9i −0.0103913 0.0336879i
\(715\) −28741.5 6560.05i −0.0562208 0.0128320i
\(716\) 2434.53 + 955.482i 0.00474885 + 0.00186379i
\(717\) −998197. + 74804.5i −1.94168 + 0.145509i
\(718\) 437572. + 471591.i 0.848791 + 0.914779i
\(719\) −816590. + 556741.i −1.57960 + 1.07695i −0.624348 + 0.781146i \(0.714635\pi\)
−0.955249 + 0.295804i \(0.904412\pi\)
\(720\) −18333.4 14620.4i −0.0353654 0.0282030i
\(721\) 2859.87 3082.20i 0.00550142 0.00592913i
\(722\) 110252. 731476.i 0.211501 1.40322i
\(723\) −131261. 575093.i −0.251108 1.10017i
\(724\) −588798. 1.01983e6i −1.12328 1.94558i
\(725\) 182972. + 105639.i 0.348104 + 0.200978i
\(726\) 445463. + 137407.i 0.845160 + 0.260697i
\(727\) −60981.9 + 48631.4i −0.115380 + 0.0920128i −0.679480 0.733694i \(-0.737795\pi\)
0.564100 + 0.825707i \(0.309223\pi\)
\(728\) −783.264 + 10451.9i −0.00147790 + 0.0197212i
\(729\) −126274. 60810.4i −0.237607 0.114426i
\(730\) 83296.4i 0.156308i
\(731\) −97999.4 + 64444.8i −0.183396 + 0.120602i
\(732\) −317679. −0.592879
\(733\) 209312. 434640.i 0.389570 0.808951i −0.610289 0.792179i \(-0.708947\pi\)
0.999859 0.0167721i \(-0.00533899\pi\)
\(734\) 888012. + 66547.3i 1.64826 + 0.123520i
\(735\) 36519.7 + 45794.3i 0.0676010 + 0.0847690i
\(736\) 294398. 954415.i 0.543475 1.76190i
\(737\) 26048.0 45116.5i 0.0479556 0.0830616i
\(738\) −517603. + 298838.i −0.950351 + 0.548685i
\(739\) −545006. + 124394.i −0.997959 + 0.227778i −0.690147 0.723670i \(-0.742454\pi\)
−0.307812 + 0.951447i \(0.599597\pi\)
\(740\) 52828.5 + 7962.62i 0.0964728 + 0.0145409i
\(741\) 92998.6 + 86290.1i 0.169371 + 0.157154i
\(742\) 83116.3 104224.i 0.150966 0.189305i
\(743\) −514941. 755280.i −0.932782 1.36814i −0.929769 0.368145i \(-0.879993\pi\)
−0.00301345 0.999995i \(-0.500959\pi\)
\(744\) −158229. + 146815.i −0.285851 + 0.265231i
\(745\) 2113.45 + 28202.1i 0.00380785 + 0.0508123i
\(746\) −172195. + 438747.i −0.309417 + 0.788382i
\(747\) 67530.5 295871.i 0.121021 0.530226i
\(748\) −100503. + 31001.2i −0.179629 + 0.0554083i
\(749\) −12339.8 + 18099.2i −0.0219961 + 0.0322623i
\(750\) −26879.7 178335.i −0.0477861 0.317040i
\(751\) −367555. + 144255.i −0.651692 + 0.255770i −0.668073 0.744096i \(-0.732881\pi\)
0.0163811 + 0.999866i \(0.494785\pi\)
\(752\) −62039.9 + 29876.9i −0.109707 + 0.0528323i
\(753\) 249456. + 518001.i 0.439951 + 0.913567i
\(754\) 115508. + 294309.i 0.203174 + 0.517680i
\(755\) −36824.5 + 5550.40i −0.0646016 + 0.00973712i
\(756\) −19972.2 13616.8i −0.0349448