Properties

Label 224.3.w.a.43.11
Level 224
Weight 3
Character 224.43
Analytic conductor 6.104
Analytic rank 0
Dimension 192
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 224.w (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.10355792167\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(48\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 43.11
Character \(\chi\) \(=\) 224.43
Dual form 224.3.w.a.99.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.55094 + 1.26277i) q^{2} +(-1.89928 - 4.58527i) q^{3} +(0.810816 - 3.91696i) q^{4} +(-2.09096 + 5.04803i) q^{5} +(8.73581 + 4.71311i) q^{6} +(-1.87083 + 1.87083i) q^{7} +(3.68870 + 7.09884i) q^{8} +(-11.0535 + 11.0535i) q^{9} +O(q^{10})\) \(q+(-1.55094 + 1.26277i) q^{2} +(-1.89928 - 4.58527i) q^{3} +(0.810816 - 3.91696i) q^{4} +(-2.09096 + 5.04803i) q^{5} +(8.73581 + 4.71311i) q^{6} +(-1.87083 + 1.87083i) q^{7} +(3.68870 + 7.09884i) q^{8} +(-11.0535 + 11.0535i) q^{9} +(-3.13156 - 10.4696i) q^{10} +(0.560618 - 1.35345i) q^{11} +(-19.5003 + 3.72160i) q^{12} +(0.285358 + 0.688915i) q^{13} +(0.539109 - 5.26397i) q^{14} +27.1179 q^{15} +(-14.6852 - 6.35187i) q^{16} +2.08433i q^{17} +(3.18523 - 31.1012i) q^{18} +(26.8257 - 11.1116i) q^{19} +(18.0776 + 12.2832i) q^{20} +(12.1315 + 5.02502i) q^{21} +(0.839616 + 2.80705i) q^{22} +(26.5738 + 26.5738i) q^{23} +(25.5442 - 30.3964i) q^{24} +(-3.43282 - 3.43282i) q^{25} +(-1.31251 - 0.708122i) q^{26} +(30.4093 + 12.5960i) q^{27} +(5.81106 + 8.84486i) q^{28} +(22.2065 - 9.19824i) q^{29} +(-42.0582 + 34.2437i) q^{30} -22.4567i q^{31} +(30.7967 - 8.69265i) q^{32} -7.27071 q^{33} +(-2.63204 - 3.23267i) q^{34} +(-5.53217 - 13.3558i) q^{35} +(34.3337 + 52.2583i) q^{36} +(1.44778 - 3.49525i) q^{37} +(-27.5736 + 51.1081i) q^{38} +(2.61688 - 2.61688i) q^{39} +(-43.5481 + 3.77728i) q^{40} +(-45.8249 + 45.8249i) q^{41} +(-25.1606 + 7.52579i) q^{42} +(-13.3506 + 32.2312i) q^{43} +(-4.84686 - 3.29332i) q^{44} +(-32.6859 - 78.9106i) q^{45} +(-74.7711 - 7.65768i) q^{46} +75.2413 q^{47} +(-1.23378 + 79.3994i) q^{48} -7.00000i q^{49} +(9.65897 + 0.989224i) q^{50} +(9.55723 - 3.95873i) q^{51} +(2.92982 - 0.559152i) q^{52} +(96.7734 + 40.0849i) q^{53} +(-63.0688 + 18.8645i) q^{54} +(5.66003 + 5.66003i) q^{55} +(-20.1816 - 6.37978i) q^{56} +(-101.899 - 101.899i) q^{57} +(-22.8257 + 42.3077i) q^{58} +(-10.3065 - 4.26908i) q^{59} +(21.9876 - 106.220i) q^{60} +(23.0763 - 9.55853i) q^{61} +(28.3577 + 34.8290i) q^{62} -41.3583i q^{63} +(-36.7870 + 52.3710i) q^{64} -4.07433 q^{65} +(11.2764 - 9.18124i) q^{66} +(-1.14906 - 2.77409i) q^{67} +(8.16425 + 1.69001i) q^{68} +(71.3771 - 172.319i) q^{69} +(25.4454 + 13.7282i) q^{70} +(-71.6138 + 71.6138i) q^{71} +(-119.240 - 37.6938i) q^{72} +(-70.1159 + 70.1159i) q^{73} +(2.16829 + 7.24913i) q^{74} +(-9.22053 + 22.2603i) q^{75} +(-21.7729 - 114.085i) q^{76} +(1.48325 + 3.58089i) q^{77} +(-0.754097 + 7.36315i) q^{78} -30.4941 q^{79} +(62.7705 - 60.8496i) q^{80} -22.6706i q^{81} +(13.2052 - 128.938i) q^{82} +(128.429 - 53.1971i) q^{83} +(29.5192 - 43.4442i) q^{84} +(-10.5218 - 4.35826i) q^{85} +(-19.9947 - 66.8473i) q^{86} +(-84.3529 - 84.3529i) q^{87} +(11.6759 - 1.01274i) q^{88} +(-47.6686 - 47.6686i) q^{89} +(150.340 + 81.1107i) q^{90} +(-1.82270 - 0.754986i) q^{91} +(125.635 - 82.5422i) q^{92} +(-102.970 + 42.6516i) q^{93} +(-116.695 + 95.0126i) q^{94} +158.651i q^{95} +(-98.3498 - 124.701i) q^{96} +60.2569 q^{97} +(8.83940 + 10.8566i) q^{98} +(8.76355 + 21.1571i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192q + O(q^{10}) \) \( 192q + 80q^{10} + 96q^{12} - 20q^{16} - 60q^{18} - 260q^{22} + 64q^{23} - 144q^{24} - 200q^{26} + 192q^{27} - 40q^{30} + 40q^{32} + 120q^{34} + 464q^{36} + 504q^{38} - 384q^{39} + 360q^{40} - 96q^{43} + 52q^{44} + 64q^{46} - 104q^{48} - 312q^{50} - 384q^{51} - 320q^{52} + 160q^{53} - 576q^{54} - 512q^{55} - 196q^{56} - 360q^{58} - 872q^{60} + 128q^{61} - 408q^{62} + 832q^{66} + 160q^{67} + 856q^{68} - 384q^{69} + 336q^{70} + 1488q^{72} + 308q^{74} + 768q^{75} + 1024q^{76} - 224q^{77} - 408q^{78} + 1024q^{79} - 1040q^{80} - 240q^{82} - 1384q^{86} + 896q^{87} - 560q^{88} - 1320q^{90} - 380q^{92} - 936q^{94} - 1088q^{96} - 512q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{5}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.55094 + 1.26277i −0.775469 + 0.631386i
\(3\) −1.89928 4.58527i −0.633094 1.52842i −0.835714 0.549166i \(-0.814946\pi\)
0.202620 0.979257i \(-0.435054\pi\)
\(4\) 0.810816 3.91696i 0.202704 0.979240i
\(5\) −2.09096 + 5.04803i −0.418193 + 1.00961i 0.564678 + 0.825311i \(0.309000\pi\)
−0.982871 + 0.184295i \(0.941000\pi\)
\(6\) 8.73581 + 4.71311i 1.45597 + 0.785518i
\(7\) −1.87083 + 1.87083i −0.267261 + 0.267261i
\(8\) 3.68870 + 7.09884i 0.461088 + 0.887355i
\(9\) −11.0535 + 11.0535i −1.22816 + 1.22816i
\(10\) −3.13156 10.4696i −0.313156 1.04696i
\(11\) 0.560618 1.35345i 0.0509652 0.123041i −0.896346 0.443355i \(-0.853788\pi\)
0.947312 + 0.320314i \(0.103788\pi\)
\(12\) −19.5003 + 3.72160i −1.62502 + 0.310133i
\(13\) 0.285358 + 0.688915i 0.0219506 + 0.0529934i 0.934475 0.356029i \(-0.115870\pi\)
−0.912524 + 0.409023i \(0.865870\pi\)
\(14\) 0.539109 5.26397i 0.0385078 0.375998i
\(15\) 27.1179 1.80786
\(16\) −14.6852 6.35187i −0.917822 0.396992i
\(17\) 2.08433i 0.122608i 0.998119 + 0.0613039i \(0.0195259\pi\)
−0.998119 + 0.0613039i \(0.980474\pi\)
\(18\) 3.18523 31.1012i 0.176957 1.72785i
\(19\) 26.8257 11.1116i 1.41188 0.584820i 0.459073 0.888398i \(-0.348182\pi\)
0.952806 + 0.303579i \(0.0981816\pi\)
\(20\) 18.0776 + 12.2832i 0.903878 + 0.614162i
\(21\) 12.1315 + 5.02502i 0.577690 + 0.239287i
\(22\) 0.839616 + 2.80705i 0.0381644 + 0.127593i
\(23\) 26.5738 + 26.5738i 1.15538 + 1.15538i 0.985456 + 0.169928i \(0.0543536\pi\)
0.169928 + 0.985456i \(0.445646\pi\)
\(24\) 25.5442 30.3964i 1.06434 1.26652i
\(25\) −3.43282 3.43282i −0.137313 0.137313i
\(26\) −1.31251 0.708122i −0.0504813 0.0272355i
\(27\) 30.4093 + 12.5960i 1.12627 + 0.466517i
\(28\) 5.81106 + 8.84486i 0.207538 + 0.315888i
\(29\) 22.2065 9.19824i 0.765742 0.317181i 0.0345958 0.999401i \(-0.488986\pi\)
0.731146 + 0.682221i \(0.238986\pi\)
\(30\) −42.0582 + 34.2437i −1.40194 + 1.14146i
\(31\) 22.4567i 0.724410i −0.932098 0.362205i \(-0.882024\pi\)
0.932098 0.362205i \(-0.117976\pi\)
\(32\) 30.7967 8.69265i 0.962397 0.271645i
\(33\) −7.27071 −0.220324
\(34\) −2.63204 3.23267i −0.0774129 0.0950786i
\(35\) −5.53217 13.3558i −0.158062 0.381595i
\(36\) 34.3337 + 52.2583i 0.953713 + 1.45162i
\(37\) 1.44778 3.49525i 0.0391292 0.0944663i −0.903107 0.429416i \(-0.858719\pi\)
0.942236 + 0.334950i \(0.108719\pi\)
\(38\) −27.5736 + 51.1081i −0.725622 + 1.34495i
\(39\) 2.61688 2.61688i 0.0670996 0.0670996i
\(40\) −43.5481 + 3.77728i −1.08870 + 0.0944319i
\(41\) −45.8249 + 45.8249i −1.11768 + 1.11768i −0.125599 + 0.992081i \(0.540085\pi\)
−0.992081 + 0.125599i \(0.959915\pi\)
\(42\) −25.1606 + 7.52579i −0.599063 + 0.179186i
\(43\) −13.3506 + 32.2312i −0.310479 + 0.749563i 0.689208 + 0.724563i \(0.257958\pi\)
−0.999687 + 0.0249996i \(0.992042\pi\)
\(44\) −4.84686 3.29332i −0.110156 0.0748481i
\(45\) −32.6859 78.9106i −0.726352 1.75357i
\(46\) −74.7711 7.65768i −1.62546 0.166471i
\(47\) 75.2413 1.60088 0.800439 0.599414i \(-0.204600\pi\)
0.800439 + 0.599414i \(0.204600\pi\)
\(48\) −1.23378 + 79.3994i −0.0257038 + 1.65415i
\(49\) 7.00000i 0.142857i
\(50\) 9.65897 + 0.989224i 0.193179 + 0.0197845i
\(51\) 9.55723 3.95873i 0.187397 0.0776223i
\(52\) 2.92982 0.559152i 0.0563428 0.0107529i
\(53\) 96.7734 + 40.0849i 1.82591 + 0.756318i 0.971628 + 0.236513i \(0.0760047\pi\)
0.854285 + 0.519805i \(0.173995\pi\)
\(54\) −63.0688 + 18.8645i −1.16794 + 0.349342i
\(55\) 5.66003 + 5.66003i 0.102910 + 0.102910i
\(56\) −20.1816 6.37978i −0.360386 0.113925i
\(57\) −101.899 101.899i −1.78770 1.78770i
\(58\) −22.8257 + 42.3077i −0.393546 + 0.729443i
\(59\) −10.3065 4.26908i −0.174686 0.0723573i 0.293626 0.955920i \(-0.405138\pi\)
−0.468312 + 0.883563i \(0.655138\pi\)
\(60\) 21.9876 106.220i 0.366460 1.77033i
\(61\) 23.0763 9.55853i 0.378300 0.156697i −0.185427 0.982658i \(-0.559367\pi\)
0.563727 + 0.825961i \(0.309367\pi\)
\(62\) 28.3577 + 34.8290i 0.457382 + 0.561758i
\(63\) 41.3583i 0.656481i
\(64\) −36.7870 + 52.3710i −0.574796 + 0.818297i
\(65\) −4.07433 −0.0626821
\(66\) 11.2764 9.18124i 0.170855 0.139110i
\(67\) −1.14906 2.77409i −0.0171502 0.0414043i 0.915072 0.403289i \(-0.132133\pi\)
−0.932223 + 0.361885i \(0.882133\pi\)
\(68\) 8.16425 + 1.69001i 0.120063 + 0.0248531i
\(69\) 71.3771 172.319i 1.03445 2.49738i
\(70\) 25.4454 + 13.7282i 0.363506 + 0.196117i
\(71\) −71.6138 + 71.6138i −1.00865 + 1.00865i −0.00868339 + 0.999962i \(0.502764\pi\)
−0.999962 + 0.00868339i \(0.997236\pi\)
\(72\) −119.240 37.6938i −1.65611 0.523525i
\(73\) −70.1159 + 70.1159i −0.960492 + 0.960492i −0.999249 0.0387568i \(-0.987660\pi\)
0.0387568 + 0.999249i \(0.487660\pi\)
\(74\) 2.16829 + 7.24913i 0.0293012 + 0.0979613i
\(75\) −9.22053 + 22.2603i −0.122940 + 0.296804i
\(76\) −21.7729 114.085i −0.286485 1.50111i
\(77\) 1.48325 + 3.58089i 0.0192631 + 0.0465051i
\(78\) −0.754097 + 7.36315i −0.00966792 + 0.0943994i
\(79\) −30.4941 −0.386001 −0.193001 0.981199i \(-0.561822\pi\)
−0.193001 + 0.981199i \(0.561822\pi\)
\(80\) 62.7705 60.8496i 0.784632 0.760620i
\(81\) 22.6706i 0.279884i
\(82\) 13.2052 128.938i 0.161039 1.57241i
\(83\) 128.429 53.1971i 1.54734 0.640929i 0.564506 0.825429i \(-0.309067\pi\)
0.982832 + 0.184500i \(0.0590667\pi\)
\(84\) 29.5192 43.4442i 0.351419 0.517192i
\(85\) −10.5218 4.35826i −0.123786 0.0512737i
\(86\) −19.9947 66.8473i −0.232496 0.777295i
\(87\) −84.3529 84.3529i −0.969573 0.969573i
\(88\) 11.6759 1.01274i 0.132680 0.0115084i
\(89\) −47.6686 47.6686i −0.535603 0.535603i 0.386632 0.922234i \(-0.373638\pi\)
−0.922234 + 0.386632i \(0.873638\pi\)
\(90\) 150.340 + 81.1107i 1.67044 + 0.901230i
\(91\) −1.82270 0.754986i −0.0200296 0.00829655i
\(92\) 125.635 82.5422i 1.36560 0.897198i
\(93\) −102.970 + 42.6516i −1.10721 + 0.458620i
\(94\) −116.695 + 95.0126i −1.24143 + 1.01077i
\(95\) 158.651i 1.67001i
\(96\) −98.3498 124.701i −1.02448 1.29897i
\(97\) 60.2569 0.621205 0.310603 0.950540i \(-0.399469\pi\)
0.310603 + 0.950540i \(0.399469\pi\)
\(98\) 8.83940 + 10.8566i 0.0901980 + 0.110781i
\(99\) 8.76355 + 21.1571i 0.0885208 + 0.213708i
\(100\) −16.2296 + 10.6628i −0.162296 + 0.106628i
\(101\) 52.3769 126.449i 0.518583 1.25197i −0.420191 0.907436i \(-0.638037\pi\)
0.938774 0.344534i \(-0.111963\pi\)
\(102\) −9.82369 + 18.2084i −0.0963107 + 0.178513i
\(103\) −36.2070 + 36.2070i −0.351524 + 0.351524i −0.860676 0.509153i \(-0.829959\pi\)
0.509153 + 0.860676i \(0.329959\pi\)
\(104\) −3.83789 + 4.56691i −0.0369028 + 0.0439126i
\(105\) −50.7330 + 50.7330i −0.483171 + 0.483171i
\(106\) −200.708 + 60.0336i −1.89347 + 0.566355i
\(107\) −66.8041 + 161.279i −0.624337 + 1.50728i 0.222226 + 0.974995i \(0.428668\pi\)
−0.846563 + 0.532288i \(0.821332\pi\)
\(108\) 73.9942 108.899i 0.685132 1.00833i
\(109\) 63.0418 + 152.196i 0.578365 + 1.39630i 0.894279 + 0.447509i \(0.147689\pi\)
−0.315914 + 0.948788i \(0.602311\pi\)
\(110\) −15.9257 1.63103i −0.144779 0.0148275i
\(111\) −18.7764 −0.169157
\(112\) 39.3567 15.5902i 0.351399 0.139198i
\(113\) 0.796855i 0.00705181i 0.999994 + 0.00352590i \(0.00112233\pi\)
−0.999994 + 0.00352590i \(0.998878\pi\)
\(114\) 286.714 + 29.3639i 2.51504 + 0.257578i
\(115\) −189.711 + 78.5807i −1.64966 + 0.683310i
\(116\) −18.0238 94.4402i −0.155377 0.814139i
\(117\) −10.7691 4.46070i −0.0920435 0.0381257i
\(118\) 21.3756 6.39364i 0.181149 0.0541834i
\(119\) −3.89943 3.89943i −0.0327683 0.0327683i
\(120\) 100.030 + 192.506i 0.833582 + 1.60421i
\(121\) 84.0424 + 84.0424i 0.694565 + 0.694565i
\(122\) −23.7197 + 43.9648i −0.194424 + 0.360367i
\(123\) 297.154 + 123.085i 2.41588 + 1.00069i
\(124\) −87.9621 18.2083i −0.709372 0.146841i
\(125\) −101.694 + 42.1230i −0.813551 + 0.336984i
\(126\) 52.2261 + 64.1441i 0.414493 + 0.509080i
\(127\) 105.997i 0.834622i 0.908764 + 0.417311i \(0.137027\pi\)
−0.908764 + 0.417311i \(0.862973\pi\)
\(128\) −9.07830 127.678i −0.0709242 0.997482i
\(129\) 173.145 1.34221
\(130\) 6.31904 5.14495i 0.0486080 0.0395766i
\(131\) −4.19700 10.1325i −0.0320382 0.0773470i 0.907051 0.421022i \(-0.138328\pi\)
−0.939089 + 0.343675i \(0.888328\pi\)
\(132\) −5.89520 + 28.4791i −0.0446606 + 0.215751i
\(133\) −29.3985 + 70.9742i −0.221041 + 0.533640i
\(134\) 5.28517 + 2.85143i 0.0394415 + 0.0212793i
\(135\) −127.170 + 127.170i −0.941997 + 0.941997i
\(136\) −14.7963 + 7.68849i −0.108797 + 0.0565330i
\(137\) −114.979 + 114.979i −0.839266 + 0.839266i −0.988762 0.149496i \(-0.952235\pi\)
0.149496 + 0.988762i \(0.452235\pi\)
\(138\) 106.899 + 357.390i 0.774629 + 2.58978i
\(139\) 88.9003 214.624i 0.639570 1.54406i −0.187683 0.982230i \(-0.560098\pi\)
0.827253 0.561830i \(-0.189902\pi\)
\(140\) −56.7998 + 10.8402i −0.405713 + 0.0774297i
\(141\) −142.904 345.002i −1.01351 2.44682i
\(142\) 20.6367 201.501i 0.145329 1.41902i
\(143\) 1.09239 0.00763908
\(144\) 232.532 92.1117i 1.61481 0.639665i
\(145\) 131.332i 0.905741i
\(146\) 20.2050 197.286i 0.138391 1.35127i
\(147\) −32.0969 + 13.2950i −0.218346 + 0.0904419i
\(148\) −12.5169 8.50490i −0.0845735 0.0574656i
\(149\) −140.992 58.4006i −0.946252 0.391950i −0.144431 0.989515i \(-0.546135\pi\)
−0.801821 + 0.597564i \(0.796135\pi\)
\(150\) −13.8092 46.1678i −0.0920616 0.307785i
\(151\) 9.63139 + 9.63139i 0.0637841 + 0.0637841i 0.738279 0.674495i \(-0.235639\pi\)
−0.674495 + 0.738279i \(0.735639\pi\)
\(152\) 177.831 + 149.444i 1.16994 + 0.983185i
\(153\) −23.0391 23.0391i −0.150582 0.150582i
\(154\) −6.82229 3.68073i −0.0443006 0.0239009i
\(155\) 113.362 + 46.9562i 0.731369 + 0.302943i
\(156\) −8.12842 12.3720i −0.0521053 0.0793080i
\(157\) −18.9501 + 7.84938i −0.120701 + 0.0499961i −0.442217 0.896908i \(-0.645808\pi\)
0.321516 + 0.946904i \(0.395808\pi\)
\(158\) 47.2945 38.5071i 0.299332 0.243716i
\(159\) 519.865i 3.26959i
\(160\) −20.5140 + 173.639i −0.128213 + 1.08524i
\(161\) −99.4302 −0.617579
\(162\) 28.6278 + 35.1607i 0.176715 + 0.217041i
\(163\) −105.818 255.468i −0.649193 1.56729i −0.813936 0.580954i \(-0.802680\pi\)
0.164743 0.986336i \(-0.447320\pi\)
\(164\) 142.339 + 216.650i 0.867919 + 1.32104i
\(165\) 15.2028 36.7028i 0.0921381 0.222441i
\(166\) −132.010 + 244.682i −0.795240 + 1.47399i
\(167\) 137.106 137.106i 0.820994 0.820994i −0.165256 0.986251i \(-0.552845\pi\)
0.986251 + 0.165256i \(0.0528451\pi\)
\(168\) 9.07759 + 104.655i 0.0540333 + 0.622948i
\(169\) 119.108 119.108i 0.704780 0.704780i
\(170\) 21.8221 6.52721i 0.128365 0.0383954i
\(171\) −173.696 + 419.338i −1.01576 + 2.45227i
\(172\) 115.423 + 78.4273i 0.671067 + 0.455973i
\(173\) 106.164 + 256.302i 0.613663 + 1.48151i 0.858948 + 0.512063i \(0.171119\pi\)
−0.245284 + 0.969451i \(0.578881\pi\)
\(174\) 237.344 + 24.3076i 1.36405 + 0.139699i
\(175\) 12.8445 0.0733969
\(176\) −16.8297 + 16.3147i −0.0956233 + 0.0926970i
\(177\) 55.3661i 0.312803i
\(178\) 134.126 + 13.7365i 0.753515 + 0.0771713i
\(179\) 188.748 78.1818i 1.05446 0.436770i 0.212976 0.977058i \(-0.431685\pi\)
0.841480 + 0.540288i \(0.181685\pi\)
\(180\) −335.592 + 64.0472i −1.86440 + 0.355818i
\(181\) −30.6944 12.7140i −0.169582 0.0702433i 0.296277 0.955102i \(-0.404255\pi\)
−0.465860 + 0.884859i \(0.654255\pi\)
\(182\) 3.78026 1.13071i 0.0207707 0.00621271i
\(183\) −87.6569 87.6569i −0.478999 0.478999i
\(184\) −90.6204 + 286.666i −0.492502 + 1.55797i
\(185\) 14.6169 + 14.6169i 0.0790102 + 0.0790102i
\(186\) 105.841 196.178i 0.569038 1.05472i
\(187\) 2.82104 + 1.16851i 0.0150858 + 0.00624874i
\(188\) 61.0068 294.717i 0.324504 1.56764i
\(189\) −80.4555 + 33.3258i −0.425691 + 0.176327i
\(190\) −200.340 246.058i −1.05442 1.29504i
\(191\) 94.8009i 0.496340i −0.968717 0.248170i \(-0.920171\pi\)
0.968717 0.248170i \(-0.0798291\pi\)
\(192\) 310.004 + 69.2109i 1.61460 + 0.360474i
\(193\) −96.6869 −0.500968 −0.250484 0.968121i \(-0.580590\pi\)
−0.250484 + 0.968121i \(0.580590\pi\)
\(194\) −93.4547 + 76.0907i −0.481725 + 0.392220i
\(195\) 7.73831 + 18.6819i 0.0396836 + 0.0958047i
\(196\) −27.4187 5.67571i −0.139891 0.0289577i
\(197\) −0.0172261 + 0.0415875i −8.74422e−5 + 0.000211104i −0.923923 0.382578i \(-0.875036\pi\)
0.923836 + 0.382789i \(0.125036\pi\)
\(198\) −40.3083 21.7470i −0.203577 0.109833i
\(199\) 217.098 217.098i 1.09095 1.09095i 0.0955190 0.995428i \(-0.469549\pi\)
0.995428 0.0955190i \(-0.0304511\pi\)
\(200\) 11.7064 37.0317i 0.0585320 0.185159i
\(201\) −10.5375 + 10.5375i −0.0524256 + 0.0524256i
\(202\) 78.4429 + 262.255i 0.388331 + 1.29829i
\(203\) −24.3363 + 58.7529i −0.119883 + 0.289423i
\(204\) −7.75705 40.6451i −0.0380248 0.199241i
\(205\) −135.507 327.144i −0.661011 1.59582i
\(206\) 10.4336 101.876i 0.0506486 0.494543i
\(207\) −587.466 −2.83800
\(208\) 0.185370 11.9294i 0.000891201 0.0573527i
\(209\) 42.5366i 0.203525i
\(210\) 14.6195 142.748i 0.0696168 0.679751i
\(211\) 133.321 55.2235i 0.631855 0.261723i −0.0436860 0.999045i \(-0.513910\pi\)
0.675541 + 0.737322i \(0.263910\pi\)
\(212\) 235.476 346.556i 1.11074 1.63470i
\(213\) 464.384 + 192.354i 2.18020 + 0.903070i
\(214\) −100.050 334.493i −0.467523 1.56305i
\(215\) −134.788 134.788i −0.626923 0.626923i
\(216\) 22.7543 + 262.334i 0.105344 + 1.21451i
\(217\) 42.0127 + 42.0127i 0.193607 + 0.193607i
\(218\) −289.963 156.440i −1.33011 0.717613i
\(219\) 454.670 + 188.331i 2.07612 + 0.859957i
\(220\) 26.7594 17.5809i 0.121633 0.0799131i
\(221\) −1.43593 + 0.594781i −0.00649741 + 0.00269132i
\(222\) 29.1210 23.7103i 0.131176 0.106803i
\(223\) 63.6651i 0.285494i −0.989759 0.142747i \(-0.954407\pi\)
0.989759 0.142747i \(-0.0455935\pi\)
\(224\) −41.3529 + 73.8778i −0.184611 + 0.329812i
\(225\) 75.8892 0.337285
\(226\) −1.00625 1.23587i −0.00445241 0.00546846i
\(227\) 114.146 + 275.572i 0.502845 + 1.21397i 0.947928 + 0.318485i \(0.103174\pi\)
−0.445083 + 0.895489i \(0.646826\pi\)
\(228\) −481.756 + 316.513i −2.11297 + 1.38822i
\(229\) −17.7828 + 42.9314i −0.0776540 + 0.187473i −0.957939 0.286972i \(-0.907351\pi\)
0.880285 + 0.474445i \(0.157351\pi\)
\(230\) 195.000 361.435i 0.847825 1.57146i
\(231\) 13.6022 13.6022i 0.0588842 0.0588842i
\(232\) 147.210 + 123.711i 0.634526 + 0.533237i
\(233\) −56.4153 + 56.4153i −0.242126 + 0.242126i −0.817729 0.575603i \(-0.804767\pi\)
0.575603 + 0.817729i \(0.304767\pi\)
\(234\) 22.3350 6.68063i 0.0954488 0.0285497i
\(235\) −157.327 + 379.820i −0.669475 + 1.61626i
\(236\) −25.0785 + 36.9086i −0.106265 + 0.156392i
\(237\) 57.9169 + 139.824i 0.244375 + 0.589973i
\(238\) 10.9719 + 1.12368i 0.0461003 + 0.00472136i
\(239\) 64.7698 0.271004 0.135502 0.990777i \(-0.456735\pi\)
0.135502 + 0.990777i \(0.456735\pi\)
\(240\) −398.231 172.249i −1.65929 0.717706i
\(241\) 26.4512i 0.109756i −0.998493 0.0548781i \(-0.982523\pi\)
0.998493 0.0548781i \(-0.0174770\pi\)
\(242\) −236.471 24.2182i −0.977152 0.100075i
\(243\) 169.733 70.3058i 0.698491 0.289324i
\(244\) −18.7297 98.1393i −0.0767612 0.402210i
\(245\) 35.3362 + 14.6367i 0.144229 + 0.0597418i
\(246\) −616.295 + 184.340i −2.50527 + 0.749349i
\(247\) 15.3098 + 15.3098i 0.0619832 + 0.0619832i
\(248\) 159.417 82.8361i 0.642809 0.334017i
\(249\) −487.846 487.846i −1.95922 1.95922i
\(250\) 104.529 193.746i 0.418117 0.774985i
\(251\) −380.032 157.414i −1.51407 0.627149i −0.537678 0.843151i \(-0.680698\pi\)
−0.976393 + 0.216002i \(0.930698\pi\)
\(252\) −161.999 33.5339i −0.642852 0.133071i
\(253\) 50.8642 21.0686i 0.201044 0.0832752i
\(254\) −133.850 164.395i −0.526968 0.647223i
\(255\) 56.5228i 0.221658i
\(256\) 175.308 + 186.556i 0.684795 + 0.728735i
\(257\) −21.8740 −0.0851129 −0.0425565 0.999094i \(-0.513550\pi\)
−0.0425565 + 0.999094i \(0.513550\pi\)
\(258\) −268.538 + 218.643i −1.04084 + 0.847453i
\(259\) 3.83047 + 9.24757i 0.0147895 + 0.0357049i
\(260\) −3.30353 + 15.9590i −0.0127059 + 0.0613808i
\(261\) −143.787 + 347.132i −0.550907 + 1.33001i
\(262\) 19.3043 + 10.4150i 0.0736804 + 0.0397517i
\(263\) 294.800 294.800i 1.12091 1.12091i 0.129308 0.991605i \(-0.458724\pi\)
0.991605 0.129308i \(-0.0412755\pi\)
\(264\) −26.8195 51.6136i −0.101589 0.195506i
\(265\) −404.699 + 404.699i −1.52717 + 1.52717i
\(266\) −44.0290 147.200i −0.165522 0.553384i
\(267\) −128.037 + 309.110i −0.479541 + 1.15771i
\(268\) −11.7977 + 2.25157i −0.0440212 + 0.00840137i
\(269\) −18.8860 45.5949i −0.0702082 0.169498i 0.884880 0.465819i \(-0.154240\pi\)
−0.955088 + 0.296321i \(0.904240\pi\)
\(270\) 36.6460 357.818i 0.135726 1.32525i
\(271\) −443.021 −1.63477 −0.817383 0.576095i \(-0.804576\pi\)
−0.817383 + 0.576095i \(0.804576\pi\)
\(272\) 13.2394 30.6088i 0.0486743 0.112532i
\(273\) 9.79148i 0.0358662i
\(274\) 33.1332 323.519i 0.120924 1.18073i
\(275\) −6.57066 + 2.72166i −0.0238933 + 0.00989693i
\(276\) −617.095 419.300i −2.23585 1.51920i
\(277\) 26.2011 + 10.8528i 0.0945888 + 0.0391800i 0.429476 0.903078i \(-0.358698\pi\)
−0.334887 + 0.942258i \(0.608698\pi\)
\(278\) 133.143 + 445.130i 0.478930 + 1.60119i
\(279\) 248.225 + 248.225i 0.889694 + 0.889694i
\(280\) 74.4044 88.5376i 0.265730 0.316206i
\(281\) 246.104 + 246.104i 0.875815 + 0.875815i 0.993098 0.117283i \(-0.0374186\pi\)
−0.117283 + 0.993098i \(0.537419\pi\)
\(282\) 657.294 + 354.620i 2.33083 + 1.25752i
\(283\) −339.091 140.456i −1.19820 0.496311i −0.307783 0.951456i \(-0.599587\pi\)
−0.890417 + 0.455146i \(0.849587\pi\)
\(284\) 222.443 + 338.574i 0.783250 + 1.19216i
\(285\) 727.457 301.323i 2.55248 1.05727i
\(286\) −1.69423 + 1.37944i −0.00592387 + 0.00482321i
\(287\) 171.461i 0.597425i
\(288\) −244.327 + 436.494i −0.848356 + 1.51561i
\(289\) 284.656 0.984967
\(290\) −165.843 203.688i −0.571872 0.702374i
\(291\) −114.445 276.294i −0.393281 0.949464i
\(292\) 217.790 + 331.492i 0.745857 + 1.13525i
\(293\) −71.7933 + 173.324i −0.245028 + 0.591551i −0.997769 0.0667668i \(-0.978732\pi\)
0.752740 + 0.658318i \(0.228732\pi\)
\(294\) 32.9918 61.1507i 0.112217 0.207996i
\(295\) 43.1009 43.1009i 0.146105 0.146105i
\(296\) 30.1527 2.61538i 0.101867 0.00883575i
\(297\) 34.0960 34.0960i 0.114801 0.114801i
\(298\) 292.416 87.4644i 0.981261 0.293505i
\(299\) −10.7241 + 25.8902i −0.0358664 + 0.0865892i
\(300\) 79.7166 + 54.1655i 0.265722 + 0.180552i
\(301\) −35.3224 85.2757i −0.117350 0.283308i
\(302\) −27.0999 2.77544i −0.0897349 0.00919020i
\(303\) −679.281 −2.24185
\(304\) −464.519 7.21814i −1.52802 0.0237439i
\(305\) 136.477i 0.447464i
\(306\) 64.8254 + 6.63909i 0.211848 + 0.0216964i
\(307\) 44.2509 18.3293i 0.144140 0.0597047i −0.309447 0.950917i \(-0.600144\pi\)
0.453587 + 0.891212i \(0.350144\pi\)
\(308\) 15.2289 2.90641i 0.0494444 0.00943638i
\(309\) 234.786 + 97.2515i 0.759825 + 0.314730i
\(310\) −235.113 + 70.3245i −0.758428 + 0.226853i
\(311\) 191.327 + 191.327i 0.615200 + 0.615200i 0.944296 0.329096i \(-0.106744\pi\)
−0.329096 + 0.944296i \(0.606744\pi\)
\(312\) 28.2297 + 8.92393i 0.0904799 + 0.0286023i
\(313\) 131.725 + 131.725i 0.420845 + 0.420845i 0.885495 0.464649i \(-0.153820\pi\)
−0.464649 + 0.885495i \(0.653820\pi\)
\(314\) 19.4784 36.1035i 0.0620332 0.114979i
\(315\) 208.778 + 86.4786i 0.662787 + 0.274535i
\(316\) −24.7251 + 119.444i −0.0782440 + 0.377988i
\(317\) −123.237 + 51.0465i −0.388761 + 0.161030i −0.568498 0.822685i \(-0.692475\pi\)
0.179737 + 0.983715i \(0.442475\pi\)
\(318\) 656.470 + 806.278i 2.06437 + 2.53546i
\(319\) 35.2121i 0.110383i
\(320\) −187.450 295.208i −0.585782 0.922523i
\(321\) 866.389 2.69903
\(322\) 154.210 125.558i 0.478913 0.389931i
\(323\) 23.1602 + 55.9137i 0.0717035 + 0.173108i
\(324\) −88.7998 18.3817i −0.274073 0.0567335i
\(325\) 1.38534 3.34451i 0.00426258 0.0102908i
\(326\) 486.716 + 262.591i 1.49299 + 0.805494i
\(327\) 578.127 578.127i 1.76797 1.76797i
\(328\) −494.338 156.269i −1.50713 0.476430i
\(329\) −140.764 + 140.764i −0.427853 + 0.427853i
\(330\) 22.7686 + 76.1213i 0.0689959 + 0.230671i
\(331\) 196.850 475.237i 0.594712 1.43576i −0.284194 0.958767i \(-0.591726\pi\)
0.878906 0.476995i \(-0.158274\pi\)
\(332\) −104.238 546.185i −0.313971 1.64513i
\(333\) 22.6317 + 54.6376i 0.0679629 + 0.164077i
\(334\) −39.5093 + 385.777i −0.118291 + 1.15502i
\(335\) 16.4063 0.0489741
\(336\) −146.234 150.851i −0.435222 0.448961i
\(337\) 123.145i 0.365415i −0.983167 0.182707i \(-0.941514\pi\)
0.983167 0.182707i \(-0.0584861\pi\)
\(338\) −34.3229 + 335.135i −0.101547 + 0.991523i
\(339\) 3.65379 1.51345i 0.0107781 0.00446446i
\(340\) −25.6024 + 37.6797i −0.0753011 + 0.110823i
\(341\) −30.3941 12.5896i −0.0891322 0.0369198i
\(342\) −260.138 869.706i −0.760636 2.54300i
\(343\) 13.0958 + 13.0958i 0.0381802 + 0.0381802i
\(344\) −278.050 + 24.1175i −0.808286 + 0.0701091i
\(345\) 720.627 + 720.627i 2.08877 + 2.08877i
\(346\) −488.304 263.448i −1.41128 0.761410i
\(347\) −380.855 157.755i −1.09756 0.454626i −0.240926 0.970544i \(-0.577451\pi\)
−0.856638 + 0.515918i \(0.827451\pi\)
\(348\) −398.801 + 262.012i −1.14598 + 0.752909i
\(349\) 120.440 49.8877i 0.345099 0.142945i −0.203400 0.979096i \(-0.565199\pi\)
0.548499 + 0.836151i \(0.315199\pi\)
\(350\) −19.9209 + 16.2196i −0.0569170 + 0.0463417i
\(351\) 24.5438i 0.0699253i
\(352\) 5.50011 46.5551i 0.0156253 0.132259i
\(353\) −207.102 −0.586690 −0.293345 0.956007i \(-0.594768\pi\)
−0.293345 + 0.956007i \(0.594768\pi\)
\(354\) −69.9148 85.8694i −0.197499 0.242569i
\(355\) −211.767 511.251i −0.596527 1.44014i
\(356\) −225.367 + 148.066i −0.633052 + 0.415915i
\(357\) −10.4738 + 25.2861i −0.0293385 + 0.0708293i
\(358\) −194.010 + 359.600i −0.541927 + 1.00447i
\(359\) −334.157 + 334.157i −0.930801 + 0.930801i −0.997756 0.0669554i \(-0.978671\pi\)
0.0669554 + 0.997756i \(0.478671\pi\)
\(360\) 439.605 523.109i 1.22113 1.45308i
\(361\) 340.886 340.886i 0.944283 0.944283i
\(362\) 63.6600 19.0413i 0.175856 0.0526004i
\(363\) 225.737 544.977i 0.621865 1.50131i
\(364\) −4.43512 + 6.52728i −0.0121844 + 0.0179321i
\(365\) −207.338 500.557i −0.568048 1.37139i
\(366\) 246.641 + 25.2597i 0.673882 + 0.0690157i
\(367\) −310.506 −0.846064 −0.423032 0.906115i \(-0.639034\pi\)
−0.423032 + 0.906115i \(0.639034\pi\)
\(368\) −221.448 559.035i −0.601760 1.51912i
\(369\) 1013.05i 2.74539i
\(370\) −41.1277 4.21209i −0.111156 0.0113840i
\(371\) −256.038 + 106.055i −0.690130 + 0.285861i
\(372\) 83.5749 + 437.912i 0.224664 + 1.17718i
\(373\) 154.097 + 63.8291i 0.413129 + 0.171124i 0.579560 0.814930i \(-0.303224\pi\)
−0.166431 + 0.986053i \(0.553224\pi\)
\(374\) −5.85083 + 1.75004i −0.0156439 + 0.00467925i
\(375\) 386.290 + 386.290i 1.03011 + 1.03011i
\(376\) 277.543 + 534.126i 0.738145 + 1.42055i
\(377\) 12.6736 + 12.6736i 0.0336170 + 0.0336170i
\(378\) 82.6987 153.283i 0.218780 0.405511i
\(379\) −367.805 152.350i −0.970463 0.401979i −0.159578 0.987185i \(-0.551013\pi\)
−0.810884 + 0.585206i \(0.801013\pi\)
\(380\) 621.429 + 128.637i 1.63534 + 0.338518i
\(381\) 486.025 201.318i 1.27566 0.528394i
\(382\) 119.712 + 147.030i 0.313382 + 0.384896i
\(383\) 160.677i 0.419522i 0.977753 + 0.209761i \(0.0672686\pi\)
−0.977753 + 0.209761i \(0.932731\pi\)
\(384\) −568.194 + 284.122i −1.47967 + 0.739901i
\(385\) −21.1779 −0.0550075
\(386\) 149.955 122.093i 0.388485 0.316304i
\(387\) −208.696 503.837i −0.539266 1.30190i
\(388\) 48.8572 236.024i 0.125921 0.608309i
\(389\) −167.242 + 403.758i −0.429928 + 1.03794i 0.549381 + 0.835572i \(0.314863\pi\)
−0.979310 + 0.202367i \(0.935137\pi\)
\(390\) −35.5926 19.2028i −0.0912632 0.0492379i
\(391\) −55.3888 + 55.3888i −0.141659 + 0.141659i
\(392\) 49.6919 25.8209i 0.126765 0.0658697i
\(393\) −38.4888 + 38.4888i −0.0979358 + 0.0979358i
\(394\) −0.0257989 0.0862523i −6.54794e−5 0.000218914i
\(395\) 63.7620 153.935i 0.161423 0.389709i
\(396\) 89.9771 17.1720i 0.227215 0.0433636i
\(397\) −144.766 349.496i −0.364650 0.880342i −0.994607 0.103712i \(-0.966928\pi\)
0.629958 0.776629i \(-0.283072\pi\)
\(398\) −62.5604 + 610.852i −0.157187 + 1.53480i
\(399\) 381.272 0.955568
\(400\) 28.6067 + 72.2164i 0.0715168 + 0.180541i
\(401\) 318.451i 0.794141i 0.917788 + 0.397071i \(0.129973\pi\)
−0.917788 + 0.397071i \(0.870027\pi\)
\(402\) 3.03656 29.6496i 0.00755364 0.0737552i
\(403\) 15.4708 6.40820i 0.0383890 0.0159012i
\(404\) −452.828 307.685i −1.12086 0.761596i
\(405\) 114.442 + 47.4033i 0.282572 + 0.117045i
\(406\) −36.4475 121.853i −0.0897722 0.300131i
\(407\) −3.91900 3.91900i −0.00962899 0.00962899i
\(408\) 63.3562 + 53.2426i 0.155285 + 0.130497i
\(409\) 4.55748 + 4.55748i 0.0111430 + 0.0111430i 0.712656 0.701513i \(-0.247492\pi\)
−0.701513 + 0.712656i \(0.747492\pi\)
\(410\) 623.271 + 336.265i 1.52017 + 0.820157i
\(411\) 745.590 + 308.834i 1.81409 + 0.751420i
\(412\) 112.464 + 171.178i 0.272971 + 0.415481i
\(413\) 27.2684 11.2949i 0.0660251 0.0273485i
\(414\) 911.124 741.836i 2.20078 1.79187i
\(415\) 759.547i 1.83023i
\(416\) 14.7766 + 18.7358i 0.0355206 + 0.0450380i
\(417\) −1152.96 −2.76488
\(418\) 53.7140 + 65.9717i 0.128502 + 0.157827i
\(419\) 88.3711 + 213.347i 0.210910 + 0.509181i 0.993564 0.113276i \(-0.0361345\pi\)
−0.782654 + 0.622457i \(0.786135\pi\)
\(420\) 157.584 + 239.854i 0.375200 + 0.571081i
\(421\) −4.96242 + 11.9803i −0.0117872 + 0.0284569i −0.929664 0.368410i \(-0.879902\pi\)
0.917876 + 0.396866i \(0.129902\pi\)
\(422\) −137.039 + 254.003i −0.324736 + 0.601902i
\(423\) −831.677 + 831.677i −1.96614 + 1.96614i
\(424\) 72.4124 + 834.840i 0.170784 + 1.96896i
\(425\) 7.15515 7.15515i 0.0168357 0.0168357i
\(426\) −963.129 + 288.081i −2.26087 + 0.676247i
\(427\) −25.2895 + 61.0542i −0.0592260 + 0.142984i
\(428\) 577.559 + 392.437i 1.34944 + 0.916908i
\(429\) −2.07475 5.00890i −0.00483625 0.0116757i
\(430\) 379.256 + 38.8415i 0.881990 + 0.0903290i
\(431\) −48.5430 −0.112629 −0.0563144 0.998413i \(-0.517935\pi\)
−0.0563144 + 0.998413i \(0.517935\pi\)
\(432\) −366.558 378.130i −0.848514 0.875300i
\(433\) 135.161i 0.312151i −0.987745 0.156075i \(-0.950116\pi\)
0.987745 0.156075i \(-0.0498843\pi\)
\(434\) −118.211 12.1066i −0.272377 0.0278955i
\(435\) 602.195 249.437i 1.38436 0.573419i
\(436\) 647.263 123.529i 1.48455 0.283323i
\(437\) 1008.14 + 417.585i 2.30696 + 0.955572i
\(438\) −942.983 + 282.056i −2.15293 + 0.643963i
\(439\) 332.908 + 332.908i 0.758333 + 0.758333i 0.976019 0.217686i \(-0.0698508\pi\)
−0.217686 + 0.976019i \(0.569851\pi\)
\(440\) −19.3015 + 61.0578i −0.0438670 + 0.138768i
\(441\) 77.3743 + 77.3743i 0.175452 + 0.175452i
\(442\) 1.47596 2.73572i 0.00333928 0.00618940i
\(443\) −616.977 255.560i −1.39272 0.576885i −0.444871 0.895594i \(-0.646751\pi\)
−0.947853 + 0.318709i \(0.896751\pi\)
\(444\) −15.2242 + 73.5465i −0.0342888 + 0.165645i
\(445\) 340.306 140.959i 0.764733 0.316763i
\(446\) 80.3944 + 98.7405i 0.180257 + 0.221391i
\(447\) 757.403i 1.69441i
\(448\) −29.1550 166.799i −0.0650782 0.372320i
\(449\) −335.651 −0.747551 −0.373776 0.927519i \(-0.621937\pi\)
−0.373776 + 0.927519i \(0.621937\pi\)
\(450\) −117.699 + 95.8308i −0.261554 + 0.212957i
\(451\) 36.3315 + 87.7120i 0.0805576 + 0.194483i
\(452\) 3.12125 + 0.646102i 0.00690541 + 0.00142943i
\(453\) 25.8698 62.4552i 0.0571077 0.137870i
\(454\) −525.018 283.255i −1.15643 0.623911i
\(455\) 7.62238 7.62238i 0.0167525 0.0167525i
\(456\) 347.490 1099.24i 0.762039 2.41062i
\(457\) 501.237 501.237i 1.09680 1.09680i 0.102016 0.994783i \(-0.467471\pi\)
0.994783 0.102016i \(-0.0325294\pi\)
\(458\) −26.6326 89.0395i −0.0581498 0.194409i
\(459\) −26.2542 + 63.3832i −0.0571986 + 0.138090i
\(460\) 153.977 + 806.803i 0.334733 + 1.75392i
\(461\) −240.230 579.966i −0.521106 1.25806i −0.937217 0.348747i \(-0.886607\pi\)
0.416111 0.909314i \(-0.363393\pi\)
\(462\) −3.91971 + 38.2728i −0.00848421 + 0.0828415i
\(463\) 648.846 1.40140 0.700698 0.713458i \(-0.252872\pi\)
0.700698 + 0.713458i \(0.252872\pi\)
\(464\) −384.532 5.97523i −0.828733 0.0128776i
\(465\) 608.979i 1.30963i
\(466\) 16.2570 158.736i 0.0348862 0.340636i
\(467\) −664.708 + 275.331i −1.42336 + 0.589574i −0.955702 0.294336i \(-0.904902\pi\)
−0.467657 + 0.883910i \(0.654902\pi\)
\(468\) −26.2041 + 38.5653i −0.0559917 + 0.0824044i
\(469\) 7.33955 + 3.04014i 0.0156494 + 0.00648217i
\(470\) −235.622 787.745i −0.501324 1.67605i
\(471\) 71.9830 + 71.9830i 0.152830 + 0.152830i
\(472\) −7.71200 88.9113i −0.0163390 0.188371i
\(473\) 36.1388 + 36.1388i 0.0764033 + 0.0764033i
\(474\) −266.391 143.722i −0.562006 0.303211i
\(475\) −130.232 53.9439i −0.274173 0.113566i
\(476\) −18.4356 + 12.1122i −0.0387303 + 0.0254458i
\(477\) −1512.76 + 626.605i −3.17140 + 1.31364i
\(478\) −100.454 + 81.7895i −0.210155 + 0.171108i
\(479\) 91.5675i 0.191164i −0.995422 0.0955819i \(-0.969529\pi\)
0.995422 0.0955819i \(-0.0304712\pi\)
\(480\) 835.143 235.726i 1.73988 0.491097i
\(481\) 2.82107 0.00586500
\(482\) 33.4019 + 41.0242i 0.0692985 + 0.0851125i
\(483\) 188.846 + 455.914i 0.390985 + 0.943922i
\(484\) 397.334 261.048i 0.820937 0.539355i
\(485\) −125.995 + 304.179i −0.259783 + 0.627172i
\(486\) −174.466 + 323.374i −0.358983 + 0.665379i
\(487\) 332.041 332.041i 0.681809 0.681809i −0.278599 0.960408i \(-0.589870\pi\)
0.960408 + 0.278599i \(0.0898700\pi\)
\(488\) 152.976 + 128.557i 0.313476 + 0.263436i
\(489\) −970.412 + 970.412i −1.98448 + 1.98448i
\(490\) −73.2871 + 21.9209i −0.149566 + 0.0447365i
\(491\) 109.849 265.198i 0.223724 0.540118i −0.771666 0.636028i \(-0.780576\pi\)
0.995390 + 0.0959103i \(0.0305762\pi\)
\(492\) 723.056 1064.14i 1.46963 2.16289i
\(493\) 19.1722 + 46.2858i 0.0388889 + 0.0938860i
\(494\) −43.0775 4.41178i −0.0872013 0.00893073i
\(495\) −125.126 −0.252780
\(496\) −142.642 + 329.780i −0.287585 + 0.664880i
\(497\) 267.954i 0.539144i
\(498\) 1372.66 + 140.581i 2.75634 + 0.282290i
\(499\) −268.044 + 111.028i −0.537163 + 0.222500i −0.634737 0.772728i \(-0.718892\pi\)
0.0975743 + 0.995228i \(0.468892\pi\)
\(500\) 82.5391 + 432.485i 0.165078 + 0.864970i
\(501\) −889.071 368.265i −1.77459 0.735060i
\(502\) 788.184 235.753i 1.57009 0.469628i
\(503\) 355.455 + 355.455i 0.706670 + 0.706670i 0.965834 0.259163i \(-0.0834468\pi\)
−0.259163 + 0.965834i \(0.583447\pi\)
\(504\) 293.596 152.558i 0.582531 0.302695i
\(505\) 528.800 + 528.800i 1.04713 + 1.04713i
\(506\) −52.2823 + 96.9060i −0.103325 + 0.191514i
\(507\) −772.361 319.922i −1.52339 0.631011i
\(508\) 415.186 + 85.9440i 0.817295 + 0.169181i
\(509\) −405.127 + 167.809i −0.795926 + 0.329684i −0.743324 0.668932i \(-0.766752\pi\)
−0.0526028 + 0.998616i \(0.516752\pi\)
\(510\) −71.3754 87.6633i −0.139952 0.171889i
\(511\) 262.350i 0.513405i
\(512\) −507.469 67.9637i −0.991151 0.132742i
\(513\) 955.713 1.86299
\(514\) 33.9252 27.6219i 0.0660024 0.0537391i
\(515\) −107.066 258.481i −0.207896 0.501905i
\(516\) 140.389 678.203i 0.272072 1.31435i
\(517\) 42.1816 101.835i 0.0815892 0.196974i
\(518\) −17.6184 9.50540i −0.0340123 0.0183502i
\(519\) 973.579 973.579i 1.87587 1.87587i
\(520\) −15.0290 28.9230i −0.0289019 0.0556212i
\(521\) −317.922 + 317.922i −0.610214 + 0.610214i −0.943002 0.332788i \(-0.892011\pi\)
0.332788 + 0.943002i \(0.392011\pi\)
\(522\) −215.344 719.949i −0.412536 1.37921i
\(523\) −215.942 + 521.330i −0.412891 + 0.996807i 0.571467 + 0.820625i \(0.306375\pi\)
−0.984358 + 0.176182i \(0.943625\pi\)
\(524\) −43.0914 + 8.22393i −0.0822356 + 0.0156945i
\(525\) −24.3952 58.8953i −0.0464671 0.112181i
\(526\) −84.9514 + 829.481i −0.161504 + 1.57696i
\(527\) 46.8073 0.0888184
\(528\) 106.771 + 46.1826i 0.202219 + 0.0874670i
\(529\) 883.339i 1.66983i
\(530\) 116.621 1138.71i 0.220039 2.14850i
\(531\) 161.110 66.7341i 0.303409 0.125676i
\(532\) 254.166 + 172.700i 0.477756 + 0.324623i
\(533\) −44.6459 18.4929i −0.0837634 0.0346960i
\(534\) −191.757 641.092i −0.359095 1.20055i
\(535\) −674.458 674.458i −1.26067 1.26067i
\(536\) 15.4542 18.3898i 0.0288325 0.0343093i
\(537\) −716.969 716.969i −1.33514 1.33514i
\(538\) 86.8669 + 46.8661i 0.161463 + 0.0871117i
\(539\) −9.47416 3.92432i −0.0175773 0.00728075i
\(540\) 395.007 + 601.229i 0.731495 + 1.11339i
\(541\) 142.450 59.0047i 0.263309 0.109066i −0.247124 0.968984i \(-0.579485\pi\)
0.510432 + 0.859918i \(0.329485\pi\)
\(542\) 687.099 559.435i 1.26771 1.03217i
\(543\) 164.890i 0.303664i
\(544\) 18.1184 + 64.1906i 0.0333058 + 0.117997i
\(545\) −900.110 −1.65158
\(546\) −12.3644 15.1860i −0.0226454 0.0278132i
\(547\) 89.4092 + 215.853i 0.163454 + 0.394612i 0.984292 0.176549i \(-0.0564933\pi\)
−0.820838 + 0.571161i \(0.806493\pi\)
\(548\) 357.143 + 543.597i 0.651720 + 0.991966i
\(549\) −149.419 + 360.728i −0.272165 + 0.657064i
\(550\) 6.75386 12.5184i 0.0122797 0.0227607i
\(551\) 493.499 493.499i 0.895642 0.895642i
\(552\) 1486.56 128.941i 2.69304 0.233589i
\(553\) 57.0492 57.0492i 0.103163 0.103163i
\(554\) −54.3409 + 16.2539i −0.0980883 + 0.0293392i
\(555\) 39.2608 94.7839i 0.0707402 0.170782i
\(556\) −768.593 522.240i −1.38236 0.939280i
\(557\) 183.273 + 442.461i 0.329037 + 0.794364i 0.998664 + 0.0516676i \(0.0164536\pi\)
−0.669628 + 0.742697i \(0.733546\pi\)
\(558\) −698.432 71.5299i −1.25167 0.128190i
\(559\) −26.0142 −0.0465371
\(560\) −3.59373 + 231.272i −0.00641737 + 0.412986i
\(561\) 15.1546i 0.0270135i
\(562\) −692.465 70.9189i −1.23214 0.126190i
\(563\) −237.623 + 98.4266i −0.422065 + 0.174825i −0.583599 0.812042i \(-0.698356\pi\)
0.161534 + 0.986867i \(0.448356\pi\)
\(564\) −1467.23 + 280.018i −2.60147 + 0.496486i
\(565\) −4.02255 1.66619i −0.00711955 0.00294901i
\(566\) 703.272 210.356i 1.24253 0.371653i
\(567\) 42.4128 + 42.4128i 0.0748021 + 0.0748021i
\(568\) −772.537 244.213i −1.36010 0.429952i
\(569\) −406.859 406.859i −0.715041 0.715041i 0.252544 0.967585i \(-0.418733\pi\)
−0.967585 + 0.252544i \(0.918733\pi\)
\(570\) −747.739 + 1385.94i −1.31182 + 2.43148i
\(571\) 465.338 + 192.749i 0.814952 + 0.337564i 0.750928 0.660384i \(-0.229607\pi\)
0.0640241 + 0.997948i \(0.479607\pi\)
\(572\) 0.885726 4.27884i 0.00154847 0.00748049i
\(573\) −434.688 + 180.054i −0.758617 + 0.314229i
\(574\) 216.516 + 265.925i 0.377206 + 0.463285i
\(575\) 182.447i 0.317299i
\(576\) −172.257 985.504i −0.299058 1.71094i
\(577\) −183.030 −0.317210 −0.158605 0.987342i \(-0.550700\pi\)
−0.158605 + 0.987342i \(0.550700\pi\)
\(578\) −441.483 + 359.455i −0.763811 + 0.621894i
\(579\) 183.636 + 443.335i 0.317160 + 0.765692i
\(580\) 514.424 + 106.486i 0.886938 + 0.183597i
\(581\) −140.746 + 339.791i −0.242248 + 0.584839i
\(582\) 526.393 + 283.997i 0.904455 + 0.487968i
\(583\) 108.506 108.506i 0.186116 0.186116i
\(584\) −756.378 239.105i −1.29517 0.409426i
\(585\) 45.0355 45.0355i 0.0769838 0.0769838i
\(586\) −107.522 359.474i −0.183485 0.613437i
\(587\) 336.415 812.178i 0.573109 1.38361i −0.325786 0.945443i \(-0.605629\pi\)
0.898895 0.438164i \(-0.144371\pi\)
\(588\) 26.0512 + 136.502i 0.0443047 + 0.232146i
\(589\) −249.530 602.418i −0.423649 1.02278i
\(590\) −12.4202 + 121.273i −0.0210512 + 0.205548i
\(591\) 0.223407 0.000378015
\(592\) −43.4623 + 42.1322i −0.0734160 + 0.0711693i
\(593\) 363.161i 0.612414i −0.951965 0.306207i \(-0.900940\pi\)
0.951965 0.306207i \(-0.0990599\pi\)
\(594\) −9.82532 + 95.9363i −0.0165409 + 0.161509i
\(595\) 27.8380 11.5309i 0.0467866 0.0193796i
\(596\) −343.071 + 504.906i −0.575623 + 0.847158i
\(597\) −1407.79 583.124i −2.35810 0.976757i
\(598\) −16.0610 53.6961i −0.0268579 0.0897928i
\(599\) 442.751 + 442.751i 0.739150 + 0.739150i 0.972414 0.233263i \(-0.0749404\pi\)
−0.233263 + 0.972414i \(0.574940\pi\)
\(600\) −192.034 + 16.6567i −0.320057 + 0.0277611i
\(601\) −112.583 112.583i −0.187327 0.187327i 0.607213 0.794539i \(-0.292288\pi\)
−0.794539 + 0.607213i \(0.792288\pi\)
\(602\) 162.467 + 87.6533i 0.269878 + 0.145603i
\(603\) 43.3644 + 17.9621i 0.0719145 + 0.0297880i
\(604\) 45.5351 29.9165i 0.0753892 0.0495306i
\(605\) −599.978 + 248.519i −0.991699 + 0.410775i
\(606\) 1053.52 857.777i 1.73849 1.41547i
\(607\) 891.478i 1.46866i 0.678791 + 0.734331i \(0.262504\pi\)
−0.678791 + 0.734331i \(0.737496\pi\)
\(608\) 729.555 575.386i 1.19993 0.946359i
\(609\) 315.619 0.518259
\(610\) −172.339 211.667i −0.282522 0.346994i
\(611\) 21.4707 + 51.8348i 0.0351402 + 0.0848360i
\(612\) −108.924 + 71.5628i −0.177980 + 0.116933i
\(613\) −7.12086 + 17.1913i −0.0116164 + 0.0280445i −0.929581 0.368617i \(-0.879831\pi\)
0.917965 + 0.396662i \(0.129831\pi\)
\(614\) −45.4847 + 84.3065i −0.0740793 + 0.137307i
\(615\) −1242.67 + 1242.67i −2.02061 + 2.02061i
\(616\) −19.9489 + 23.7382i −0.0323846 + 0.0385361i
\(617\) −253.855 + 253.855i −0.411435 + 0.411435i −0.882238 0.470803i \(-0.843964\pi\)
0.470803 + 0.882238i \(0.343964\pi\)
\(618\) −486.945 + 145.650i −0.787936 + 0.235679i
\(619\) −24.8931 + 60.0972i −0.0402150 + 0.0970875i −0.942711 0.333611i \(-0.891733\pi\)
0.902496 + 0.430699i \(0.141733\pi\)
\(620\) 275.841 405.963i 0.444905 0.654778i
\(621\) 473.370 + 1142.82i 0.762270 + 1.84028i
\(622\) −538.339 55.1340i −0.865497 0.0886399i
\(623\) 178.360 0.286292
\(624\) −55.0515 + 21.8073i −0.0882235 + 0.0349475i
\(625\) 722.800i 1.15648i
\(626\) −370.635 37.9586i −0.592068 0.0606367i
\(627\) −195.042 + 80.7890i −0.311072 + 0.128850i
\(628\) 15.3807 + 80.5911i 0.0244915 + 0.128330i
\(629\) 7.28527 + 3.01766i 0.0115823 + 0.00479755i
\(630\) −433.004 + 129.516i −0.687308 + 0.205581i
\(631\) 62.3947 + 62.3947i 0.0988823 + 0.0988823i 0.754817 0.655935i \(-0.227725\pi\)
−0.655935 + 0.754817i \(0.727725\pi\)
\(632\) −112.484 216.473i −0.177980 0.342520i
\(633\) −506.430 506.430i −0.800047 0.800047i
\(634\) 126.673 234.790i 0.199800 0.370332i
\(635\) −535.076 221.636i −0.842639 0.349033i
\(636\) −2036.29 421.514i −3.20171 0.662758i
\(637\) 4.82240 1.99750i 0.00757049 0.00313580i
\(638\) 44.4649 + 54.6118i 0.0696942 + 0.0855985i
\(639\) 1583.16i 2.47756i
\(640\) 663.503 + 221.142i 1.03672 + 0.345534i
\(641\) 169.116 0.263831 0.131915 0.991261i \(-0.457887\pi\)
0.131915 + 0.991261i \(0.457887\pi\)
\(642\) −1343.72 + 1094.05i −2.09301 + 1.70413i
\(643\) −189.882 458.415i −0.295306 0.712931i −0.999994 0.00341418i \(-0.998913\pi\)
0.704688 0.709517i \(-0.251087\pi\)
\(644\) −80.6196 + 389.464i −0.125186 + 0.604758i
\(645\) −362.040 + 874.043i −0.561303 + 1.35510i
\(646\) −106.526 57.4726i −0.164901 0.0889669i
\(647\) −50.2422 + 50.2422i −0.0776541 + 0.0776541i −0.744867 0.667213i \(-0.767487\pi\)
0.667213 + 0.744867i \(0.267487\pi\)
\(648\) 160.935 83.6250i 0.248356 0.129051i
\(649\) −11.5560 + 11.5560i −0.0178058 + 0.0178058i
\(650\) 2.07477 + 6.93649i 0.00319196 + 0.0106715i
\(651\) 112.846 272.433i 0.173342 0.418484i
\(652\) −1086.46 + 207.349i −1.66635 + 0.318020i
\(653\) 161.947 + 390.974i 0.248004 + 0.598735i 0.998034 0.0626683i \(-0.0199610\pi\)
−0.750030 + 0.661404i \(0.769961\pi\)
\(654\) −166.597 + 1626.68i −0.254735 + 2.48728i
\(655\) 59.9247 0.0914882
\(656\) 964.019 381.872i 1.46954 0.582122i
\(657\) 1550.05i 2.35928i
\(658\) 40.5633 396.068i 0.0616463 0.601927i
\(659\) 1075.79 445.608i 1.63246 0.676189i 0.636959 0.770897i \(-0.280192\pi\)
0.995505 + 0.0947086i \(0.0301919\pi\)
\(660\) −131.437 89.3079i −0.199146 0.135315i
\(661\) 944.990 + 391.428i 1.42964 + 0.592175i 0.957262 0.289223i \(-0.0933968\pi\)
0.472375 + 0.881398i \(0.343397\pi\)
\(662\) 294.815 + 985.640i 0.445339 + 1.48888i
\(663\) 5.45446 + 5.45446i 0.00822694 + 0.00822694i
\(664\) 851.374 + 715.469i 1.28219 + 1.07751i
\(665\) −296.809 296.809i −0.446329 0.446329i
\(666\) −104.095 56.1610i −0.156299 0.0843258i
\(667\) 834.546 + 345.680i 1.25119 + 0.518261i
\(668\) −425.871 648.207i −0.637532 0.970369i
\(669\) −291.921 + 120.918i −0.436355 + 0.180744i
\(670\) −25.4452 + 20.7175i −0.0379779 + 0.0309216i
\(671\) 36.5914i 0.0545326i
\(672\) 417.291 + 49.2995i 0.620968 + 0.0733624i
\(673\) 1307.24 1.94241 0.971205 0.238246i \(-0.0765725\pi\)
0.971205 + 0.238246i \(0.0765725\pi\)
\(674\) 155.504 + 190.990i 0.230718 + 0.283368i
\(675\) −61.1502 147.630i −0.0905929 0.218711i
\(676\) −369.966 563.115i −0.547287 0.833011i
\(677\) 324.197 782.682i 0.478874 1.15610i −0.481264 0.876576i \(-0.659822\pi\)
0.960138 0.279528i \(-0.0901778\pi\)
\(678\) −3.75566 + 6.96117i −0.00553933 + 0.0102672i
\(679\) −112.730 + 112.730i −0.166024 + 0.166024i
\(680\) −7.87310 90.7688i −0.0115781 0.133483i
\(681\) 1046.78 1046.78i 1.53712 1.53712i
\(682\) 63.0371 18.8550i 0.0924298 0.0276467i
\(683\) −273.950 + 661.374i −0.401098 + 0.968336i 0.586302 + 0.810093i \(0.300583\pi\)
−0.987400 + 0.158244i \(0.949417\pi\)
\(684\) 1501.70 + 1020.37i 2.19546 + 1.49176i
\(685\) −340.002 820.838i −0.496353 1.19830i
\(686\) −36.8478 3.77377i −0.0537140 0.00550112i
\(687\) 230.626 0.335701
\(688\) 400.784 388.519i 0.582535 0.564708i
\(689\) 78.1071i 0.113363i
\(690\) −2027.64 207.660i −2.93860 0.300957i
\(691\) −3.79293 + 1.57108i −0.00548904 + 0.00227363i −0.385426 0.922739i \(-0.625946\pi\)
0.379937 + 0.925012i \(0.375946\pi\)
\(692\) 1090.00 208.026i 1.57515 0.300615i
\(693\) −55.9764 23.1862i −0.0807740 0.0334577i
\(694\) 789.891 236.264i 1.13817 0.340438i
\(695\) 897.543 + 897.543i 1.29143 + 1.29143i
\(696\) 287.655 909.960i 0.413297 1.30741i
\(697\) −95.5143 95.5143i −0.137036 0.137036i
\(698\) −123.798 + 229.460i −0.177360 + 0.328740i
\(699\) 365.828 + 151.531i 0.523359 + 0.216782i
\(700\) 10.4145 50.3112i 0.0148778 0.0718732i
\(701\) −711.325 + 294.641i −1.01473 + 0.420315i −0.827178 0.561940i \(-0.810055\pi\)
−0.187551 + 0.982255i \(0.560055\pi\)
\(702\) −30.9932 38.0659i −0.0441498 0.0542249i
\(703\) 109.850i 0.156259i
\(704\) 50.2581 + 79.1494i 0.0713894 + 0.112428i
\(705\) 2040.39 2.89416
\(706\) 321.202 261.522i 0.454960 0.370428i
\(707\) 138.576 + 334.553i 0.196006 + 0.473200i
\(708\) 216.867 + 44.8917i 0.306309 + 0.0634064i
\(709\) 240.238 579.985i 0.338840 0.818033i −0.658987 0.752154i \(-0.729015\pi\)
0.997828 0.0658787i \(-0.0209850\pi\)
\(710\) 974.031 + 525.505i 1.37187 + 0.740148i
\(711\) 337.066 337.066i 0.474073 0.474073i
\(712\) 162.556 514.227i 0.228310 0.722229i
\(713\) 596.762 596.762i 0.836973 0.836973i
\(714\) −15.6863 52.4432i −0.0219696 0.0734498i
\(715\) −2.28414 + 5.51441i −0.00319461 + 0.00771246i
\(716\) −153.196 802.708i −0.213960 1.12110i
\(717\) −123.016 296.987i −0.171571 0.414208i
\(718\) 96.2928 940.222i 0.134113 1.30950i
\(719\) −4.43121 −0.00616302 −0.00308151 0.999995i \(-0.500981\pi\)
−0.00308151 + 0.999995i \(0.500981\pi\)
\(720\) −21.2329 + 1366.43i −0.0294901 + 1.89782i
\(721\) 135.474i 0.187897i
\(722\) −98.2318 + 959.154i −0.136055 + 1.32847i
\(723\) −121.286 + 50.2383i −0.167754 + 0.0694859i
\(724\) −74.6879 + 109.920i −0.103160 + 0.151823i
\(725\) −107.807 44.6551i −0.148699 0.0615933i
\(726\) 338.078 + 1130.28i 0.465672 + 1.55686i
\(727\) −380.396 380.396i −0.523241 0.523241i 0.395308 0.918549i \(-0.370638\pi\)
−0.918549 + 0.395308i \(0.870638\pi\)
\(728\) −1.36386 15.7239i −0.00187344 0.0215988i
\(729\) −789.017 789.017i −1.08233 1.08233i
\(730\) 953.657 + 514.513i 1.30638 + 0.704812i
\(731\) −67.1806 27.8271i −0.0919023 0.0380672i
\(732\) −414.422 + 272.275i −0.566150 + 0.371960i
\(733\) 360.871 149.478i 0.492321 0.203926i −0.122689 0.992445i \(-0.539152\pi\)
0.615010 + 0.788519i \(0.289152\pi\)
\(734\) 481.575 392.098i 0.656096 0.534193i
\(735\) 189.825i 0.258266i
\(736\) 1049.38 + 587.390i 1.42579 + 0.798085i
\(737\) −4.39878 −0.00596849
\(738\) 1279.25 + 1571.17i 1.73340 + 2.12896i
\(739\) −480.795 1160.74i −0.650602 1.57069i −0.811907 0.583787i \(-0.801570\pi\)
0.161305 0.986905i \(-0.448430\pi\)
\(740\) 69.1054 45.4022i 0.0933856 0.0613543i
\(741\) 41.1221 99.2775i 0.0554954 0.133978i
\(742\) 263.177 487.802i 0.354686 0.657415i
\(743\) −182.750 + 182.750i −0.245962 + 0.245962i −0.819311 0.573349i \(-0.805644\pi\)
0.573349 + 0.819311i \(0.305644\pi\)
\(744\) −682.603 573.639i −0.917477 0.771020i
\(745\) 589.616 589.616i 0.791431 0.791431i
\(746\) −319.596 + 95.5944i −0.428413 + 0.128143i
\(747\) −831.575 + 2007.60i −1.11322 + 2.68755i
\(748\) 6.86437 10.1025i 0.00917697 0.0135060i
\(749\) −176.747 426.705i −0.235977 0.569700i
\(750\) −1086.91 111.316i −1.44921 0.148421i
\(751\) −132.696 −0.176692 −0.0883460 0.996090i \(-0.528158\pi\)
−0.0883460 + 0.996090i \(0.528158\pi\)
\(752\) −1104.93 477.923i −1.46932 0.635535i
\(753\) 2041.52i 2.71118i
\(754\) −35.6599 3.65210i −0.0472942 0.00484364i
\(755\) −68.7585 + 28.4807i −0.0910708 + 0.0377228i
\(756\) 65.3011 + 342.162i 0.0863771 + 0.452595i
\(757\) 440.799 + 182.585i 0.582298 + 0.241196i 0.654333 0.756206i \(-0.272949\pi\)
−0.0720353 +