Properties

Label 384.2.v.a.157.14
Level $384$
Weight $2$
Character 384.157
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 157.14
Character \(\chi\) \(=\) 384.157
Dual form 384.2.v.a.181.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.310799 + 1.37964i) q^{2} +(0.0980171 - 0.995185i) q^{3} +(-1.80681 - 0.857580i) q^{4} +(-1.10815 + 0.592317i) q^{5} +(1.34253 + 0.444530i) q^{6} +(0.457071 + 2.29785i) q^{7} +(1.74470 - 2.22621i) q^{8} +(-0.980785 - 0.195090i) q^{9} +O(q^{10})\) \(q+(-0.310799 + 1.37964i) q^{2} +(0.0980171 - 0.995185i) q^{3} +(-1.80681 - 0.857580i) q^{4} +(-1.10815 + 0.592317i) q^{5} +(1.34253 + 0.444530i) q^{6} +(0.457071 + 2.29785i) q^{7} +(1.74470 - 2.22621i) q^{8} +(-0.980785 - 0.195090i) q^{9} +(-0.472773 - 1.71294i) q^{10} +(-1.67067 + 2.03571i) q^{11} +(-1.03055 + 1.71405i) q^{12} +(-0.759784 + 1.42146i) q^{13} +(-3.31226 - 0.0835757i) q^{14} +(0.480848 + 1.16087i) q^{15} +(2.52911 + 3.09896i) q^{16} +(-1.47844 + 3.56928i) q^{17} +(0.573981 - 1.29250i) q^{18} +(-1.05342 - 3.47265i) q^{19} +(2.51017 - 0.119879i) q^{20} +(2.33159 - 0.229641i) q^{21} +(-2.28931 - 2.93761i) q^{22} +(-5.89497 + 3.93889i) q^{23} +(-2.04448 - 1.95451i) q^{24} +(-1.90070 + 2.84460i) q^{25} +(-1.72496 - 1.49001i) q^{26} +(-0.290285 + 0.956940i) q^{27} +(1.14475 - 4.54375i) q^{28} +(-5.69373 + 4.67272i) q^{29} +(-1.75103 + 0.302600i) q^{30} +(-0.0207233 + 0.0207233i) q^{31} +(-5.06150 + 2.52611i) q^{32} +(1.86216 + 1.86216i) q^{33} +(-4.46482 - 3.14905i) q^{34} +(-1.86756 - 2.27563i) q^{35} +(1.60479 + 1.19359i) q^{36} +(9.61030 + 2.91525i) q^{37} +(5.11840 - 0.374040i) q^{38} +(1.34014 + 0.895452i) q^{39} +(-0.614767 + 3.50039i) q^{40} +(0.892668 + 1.33597i) q^{41} +(-0.407832 + 3.28812i) q^{42} +(-1.13221 - 11.4955i) q^{43} +(4.76436 - 2.24541i) q^{44} +(1.20241 - 0.364747i) q^{45} +(-3.60210 - 9.35713i) q^{46} +(6.47319 + 2.68128i) q^{47} +(3.33194 - 2.21318i) q^{48} +(1.39595 - 0.578221i) q^{49} +(-3.33378 - 3.50638i) q^{50} +(3.40718 + 1.82118i) q^{51} +(2.59180 - 1.91672i) q^{52} +(1.16392 + 0.955207i) q^{53} +(-1.23001 - 0.697904i) q^{54} +(0.645557 - 3.24544i) q^{55} +(5.91295 + 2.99153i) q^{56} +(-3.55918 + 0.707965i) q^{57} +(-4.67707 - 9.30756i) q^{58} +(-3.77675 - 7.06580i) q^{59} +(0.126738 - 2.50983i) q^{60} +(4.20656 + 0.414310i) q^{61} +(-0.0221499 - 0.0350315i) q^{62} -2.34287i q^{63} +(-1.91202 - 7.76815i) q^{64} -2.02522i q^{65} +(-3.14786 + 1.99035i) q^{66} +(-6.18862 - 0.609525i) q^{67} +(5.73221 - 5.18112i) q^{68} +(3.34212 + 6.25266i) q^{69} +(3.71998 - 1.86930i) q^{70} +(8.04650 - 1.60055i) q^{71} +(-2.14549 + 1.84306i) q^{72} +(-2.06681 + 10.3905i) q^{73} +(-7.00887 + 12.3527i) q^{74} +(2.64460 + 2.17037i) q^{75} +(-1.07475 + 7.17780i) q^{76} +(-5.44138 - 2.90848i) q^{77} +(-1.65191 + 1.57060i) q^{78} +(6.65968 - 2.75853i) q^{79} +(-4.63820 - 1.93607i) q^{80} +(0.923880 + 0.382683i) q^{81} +(-2.12060 + 0.816341i) q^{82} +(9.78688 - 2.96882i) q^{83} +(-4.40967 - 1.58460i) q^{84} +(-0.475812 - 4.83100i) q^{85} +(16.2115 + 2.01074i) q^{86} +(4.09214 + 6.12432i) q^{87} +(1.61710 + 7.27097i) q^{88} +(-6.96030 - 4.65072i) q^{89} +(0.129512 + 1.77226i) q^{90} +(-3.61357 - 1.09616i) q^{91} +(14.0290 - 2.06142i) q^{92} +(0.0185923 + 0.0226548i) q^{93} +(-5.71106 + 8.09733i) q^{94} +(3.22425 + 3.22425i) q^{95} +(2.01783 + 5.28473i) q^{96} +(-0.488268 + 0.488268i) q^{97} +(0.363878 + 2.10562i) q^{98} +(2.03571 - 1.67067i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512q + O(q^{10}) \) \( 512q - 96q^{50} - 96q^{52} - 32q^{54} - 224q^{56} - 192q^{60} - 192q^{62} - 192q^{64} - 192q^{66} - 192q^{68} - 192q^{70} - 224q^{74} - 32q^{76} - 96q^{78} - 96q^{80} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{27}{32}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.310799 + 1.37964i −0.219768 + 0.975552i
\(3\) 0.0980171 0.995185i 0.0565902 0.574570i
\(4\) −1.80681 0.857580i −0.903404 0.428790i
\(5\) −1.10815 + 0.592317i −0.495579 + 0.264892i −0.700197 0.713949i \(-0.746905\pi\)
0.204619 + 0.978842i \(0.434405\pi\)
\(6\) 1.34253 + 0.444530i 0.548086 + 0.181479i
\(7\) 0.457071 + 2.29785i 0.172757 + 0.868506i 0.965789 + 0.259327i \(0.0835008\pi\)
−0.793033 + 0.609179i \(0.791499\pi\)
\(8\) 1.74470 2.22621i 0.616846 0.787084i
\(9\) −0.980785 0.195090i −0.326928 0.0650301i
\(10\) −0.472773 1.71294i −0.149504 0.541678i
\(11\) −1.67067 + 2.03571i −0.503725 + 0.613791i −0.961341 0.275359i \(-0.911203\pi\)
0.457617 + 0.889150i \(0.348703\pi\)
\(12\) −1.03055 + 1.71405i −0.297494 + 0.494804i
\(13\) −0.759784 + 1.42146i −0.210726 + 0.394241i −0.964973 0.262351i \(-0.915502\pi\)
0.754247 + 0.656591i \(0.228002\pi\)
\(14\) −3.31226 0.0835757i −0.885239 0.0223366i
\(15\) 0.480848 + 1.16087i 0.124154 + 0.299735i
\(16\) 2.52911 + 3.09896i 0.632279 + 0.774741i
\(17\) −1.47844 + 3.56928i −0.358575 + 0.865677i 0.636926 + 0.770925i \(0.280206\pi\)
−0.995501 + 0.0947521i \(0.969794\pi\)
\(18\) 0.573981 1.29250i 0.135289 0.304644i
\(19\) −1.05342 3.47265i −0.241670 0.796680i −0.990927 0.134400i \(-0.957089\pi\)
0.749257 0.662279i \(-0.230411\pi\)
\(20\) 2.51017 0.119879i 0.561291 0.0268057i
\(21\) 2.33159 0.229641i 0.508794 0.0501118i
\(22\) −2.28931 2.93761i −0.488082 0.626301i
\(23\) −5.89497 + 3.93889i −1.22919 + 0.821316i −0.988783 0.149358i \(-0.952279\pi\)
−0.240403 + 0.970673i \(0.577279\pi\)
\(24\) −2.04448 1.95451i −0.417327 0.398963i
\(25\) −1.90070 + 2.84460i −0.380140 + 0.568920i
\(26\) −1.72496 1.49001i −0.338292 0.292216i
\(27\) −0.290285 + 0.956940i −0.0558653 + 0.184163i
\(28\) 1.14475 4.54375i 0.216338 0.858688i
\(29\) −5.69373 + 4.67272i −1.05730 + 0.867702i −0.991497 0.130130i \(-0.958460\pi\)
−0.0658014 + 0.997833i \(0.520960\pi\)
\(30\) −1.75103 + 0.302600i −0.319692 + 0.0552469i
\(31\) −0.0207233 + 0.0207233i −0.00372202 + 0.00372202i −0.708965 0.705243i \(-0.750838\pi\)
0.705243 + 0.708965i \(0.250838\pi\)
\(32\) −5.06150 + 2.52611i −0.894755 + 0.446558i
\(33\) 1.86216 + 1.86216i 0.324160 + 0.324160i
\(34\) −4.46482 3.14905i −0.765710 0.540057i
\(35\) −1.86756 2.27563i −0.315675 0.384651i
\(36\) 1.60479 + 1.19359i 0.267464 + 0.198932i
\(37\) 9.61030 + 2.91525i 1.57992 + 0.479265i 0.953796 0.300455i \(-0.0971386\pi\)
0.626128 + 0.779720i \(0.284639\pi\)
\(38\) 5.11840 0.374040i 0.830314 0.0606773i
\(39\) 1.34014 + 0.895452i 0.214594 + 0.143387i
\(40\) −0.614767 + 3.50039i −0.0972033 + 0.553460i
\(41\) 0.892668 + 1.33597i 0.139411 + 0.208644i 0.894605 0.446858i \(-0.147457\pi\)
−0.755194 + 0.655502i \(0.772457\pi\)
\(42\) −0.407832 + 3.28812i −0.0629298 + 0.507368i
\(43\) −1.13221 11.4955i −0.172660 1.75305i −0.557605 0.830106i \(-0.688280\pi\)
0.384945 0.922939i \(-0.374220\pi\)
\(44\) 4.76436 2.24541i 0.718254 0.338509i
\(45\) 1.20241 0.364747i 0.179245 0.0543733i
\(46\) −3.60210 9.35713i −0.531101 1.37963i
\(47\) 6.47319 + 2.68128i 0.944212 + 0.391105i 0.801052 0.598594i \(-0.204274\pi\)
0.143160 + 0.989700i \(0.454274\pi\)
\(48\) 3.33194 2.21318i 0.480924 0.319446i
\(49\) 1.39595 0.578221i 0.199421 0.0826030i
\(50\) −3.33378 3.50638i −0.471468 0.495877i
\(51\) 3.40718 + 1.82118i 0.477101 + 0.255016i
\(52\) 2.59180 1.91672i 0.359417 0.265802i
\(53\) 1.16392 + 0.955207i 0.159877 + 0.131208i 0.710931 0.703262i \(-0.248274\pi\)
−0.551053 + 0.834470i \(0.685774\pi\)
\(54\) −1.23001 0.697904i −0.167383 0.0949727i
\(55\) 0.645557 3.24544i 0.0870469 0.437614i
\(56\) 5.91295 + 2.99153i 0.790151 + 0.399761i
\(57\) −3.55918 + 0.707965i −0.471425 + 0.0937722i
\(58\) −4.67707 9.30756i −0.614129 1.22214i
\(59\) −3.77675 7.06580i −0.491691 0.919889i −0.998332 0.0577320i \(-0.981613\pi\)
0.506641 0.862157i \(-0.330887\pi\)
\(60\) 0.126738 2.50983i 0.0163618 0.324018i
\(61\) 4.20656 + 0.414310i 0.538595 + 0.0530470i 0.363658 0.931533i \(-0.381528\pi\)
0.174937 + 0.984580i \(0.444028\pi\)
\(62\) −0.0221499 0.0350315i −0.00281304 0.00444900i
\(63\) 2.34287i 0.295174i
\(64\) −1.91202 7.76815i −0.239002 0.971019i
\(65\) 2.02522i 0.251197i
\(66\) −3.14786 + 1.99035i −0.387475 + 0.244995i
\(67\) −6.18862 0.609525i −0.756060 0.0744654i −0.287360 0.957823i \(-0.592777\pi\)
−0.468700 + 0.883357i \(0.655277\pi\)
\(68\) 5.73221 5.18112i 0.695132 0.628303i
\(69\) 3.34212 + 6.25266i 0.402344 + 0.752732i
\(70\) 3.71998 1.86930i 0.444623 0.223424i
\(71\) 8.04650 1.60055i 0.954944 0.189950i 0.307061 0.951690i \(-0.400655\pi\)
0.647883 + 0.761740i \(0.275655\pi\)
\(72\) −2.14549 + 1.84306i −0.252849 + 0.217207i
\(73\) −2.06681 + 10.3905i −0.241901 + 1.21612i 0.648596 + 0.761133i \(0.275356\pi\)
−0.890498 + 0.454988i \(0.849644\pi\)
\(74\) −7.00887 + 12.3527i −0.814764 + 1.43597i
\(75\) 2.64460 + 2.17037i 0.305372 + 0.250612i
\(76\) −1.07475 + 7.17780i −0.123282 + 0.823350i
\(77\) −5.44138 2.90848i −0.620103 0.331452i
\(78\) −1.65191 + 1.57060i −0.187042 + 0.177836i
\(79\) 6.65968 2.75853i 0.749272 0.310359i 0.0248275 0.999692i \(-0.492096\pi\)
0.724445 + 0.689333i \(0.242096\pi\)
\(80\) −4.63820 1.93607i −0.518567 0.216459i
\(81\) 0.923880 + 0.382683i 0.102653 + 0.0425204i
\(82\) −2.12060 + 0.816341i −0.234181 + 0.0901498i
\(83\) 9.78688 2.96882i 1.07425 0.325870i 0.296880 0.954915i \(-0.404054\pi\)
0.777369 + 0.629045i \(0.216554\pi\)
\(84\) −4.40967 1.58460i −0.481134 0.172894i
\(85\) −0.475812 4.83100i −0.0516090 0.523995i
\(86\) 16.2115 + 2.01074i 1.74813 + 0.216824i
\(87\) 4.09214 + 6.12432i 0.438723 + 0.656596i
\(88\) 1.61710 + 7.27097i 0.172384 + 0.775088i
\(89\) −6.96030 4.65072i −0.737790 0.492975i 0.129003 0.991644i \(-0.458822\pi\)
−0.866793 + 0.498669i \(0.833822\pi\)
\(90\) 0.129512 + 1.77226i 0.0136518 + 0.186812i
\(91\) −3.61357 1.09616i −0.378805 0.114909i
\(92\) 14.0290 2.06142i 1.46262 0.214918i
\(93\) 0.0185923 + 0.0226548i 0.00192793 + 0.00234919i
\(94\) −5.71106 + 8.09733i −0.589051 + 0.835176i
\(95\) 3.22425 + 3.22425i 0.330801 + 0.330801i
\(96\) 2.01783 + 5.28473i 0.205944 + 0.539370i
\(97\) −0.488268 + 0.488268i −0.0495761 + 0.0495761i −0.731460 0.681884i \(-0.761161\pi\)
0.681884 + 0.731460i \(0.261161\pi\)
\(98\) 0.363878 + 2.10562i 0.0367572 + 0.212699i
\(99\) 2.03571 1.67067i 0.204597 0.167908i
\(100\) 5.87367 3.50964i 0.587367 0.350964i
\(101\) −2.85911 + 9.42522i −0.284492 + 0.937845i 0.691928 + 0.721966i \(0.256761\pi\)
−0.976420 + 0.215878i \(0.930739\pi\)
\(102\) −3.57151 + 4.13466i −0.353632 + 0.409392i
\(103\) −0.752348 + 1.12597i −0.0741311 + 0.110945i −0.866683 0.498860i \(-0.833752\pi\)
0.792552 + 0.609805i \(0.208752\pi\)
\(104\) 1.83886 + 4.17146i 0.180315 + 0.409045i
\(105\) −2.44772 + 1.63552i −0.238873 + 0.159610i
\(106\) −1.67959 + 1.30892i −0.163136 + 0.127133i
\(107\) −1.79141 + 0.176438i −0.173182 + 0.0170569i −0.184236 0.982882i \(-0.558981\pi\)
0.0110544 + 0.999939i \(0.496481\pi\)
\(108\) 1.34514 1.48007i 0.129436 0.142419i
\(109\) −1.00358 3.30838i −0.0961260 0.316885i 0.895669 0.444721i \(-0.146697\pi\)
−0.991795 + 0.127836i \(0.959197\pi\)
\(110\) 4.27689 + 1.89931i 0.407786 + 0.181092i
\(111\) 3.84319 9.27828i 0.364779 0.880656i
\(112\) −5.96498 + 7.22798i −0.563637 + 0.682979i
\(113\) 5.75681 + 13.8982i 0.541556 + 1.30743i 0.923625 + 0.383297i \(0.125211\pi\)
−0.382070 + 0.924134i \(0.624789\pi\)
\(114\) 0.129452 5.13042i 0.0121243 0.480507i
\(115\) 4.19942 7.85656i 0.391598 0.732628i
\(116\) 14.2947 3.55989i 1.32723 0.330527i
\(117\) 1.02250 1.24592i 0.0945299 0.115185i
\(118\) 10.9221 3.01451i 1.00546 0.277508i
\(119\) −8.87743 1.76583i −0.813792 0.161873i
\(120\) 3.42327 + 0.954905i 0.312501 + 0.0871705i
\(121\) 0.792992 + 3.98664i 0.0720902 + 0.362422i
\(122\) −1.87899 + 5.67477i −0.170116 + 0.513769i
\(123\) 1.41704 0.757421i 0.127770 0.0682944i
\(124\) 0.0552150 0.0196712i 0.00495845 0.00176652i
\(125\) 1.03715 10.5304i 0.0927657 0.941865i
\(126\) 3.23231 + 0.728160i 0.287957 + 0.0648697i
\(127\) −1.44242 −0.127994 −0.0639971 0.997950i \(-0.520385\pi\)
−0.0639971 + 0.997950i \(0.520385\pi\)
\(128\) 11.3115 0.223561i 0.999805 0.0197602i
\(129\) −11.5511 −1.01702
\(130\) 2.79407 + 0.629434i 0.245056 + 0.0552050i
\(131\) 0.221199 2.24588i 0.0193263 0.196223i −0.980674 0.195651i \(-0.937318\pi\)
1.00000 0.000571857i \(-0.000182028\pi\)
\(132\) −1.76761 4.96151i −0.153851 0.431844i
\(133\) 7.49814 4.00784i 0.650171 0.347524i
\(134\) 2.76434 8.34862i 0.238802 0.721211i
\(135\) −0.245134 1.23237i −0.0210978 0.106066i
\(136\) 5.36652 + 9.51866i 0.460175 + 0.816218i
\(137\) −14.1887 2.82231i −1.21222 0.241126i −0.452734 0.891646i \(-0.649551\pi\)
−0.759489 + 0.650520i \(0.774551\pi\)
\(138\) −9.66514 + 2.66760i −0.822752 + 0.227081i
\(139\) −1.87576 + 2.28562i −0.159100 + 0.193864i −0.846459 0.532454i \(-0.821270\pi\)
0.687359 + 0.726318i \(0.258770\pi\)
\(140\) 1.42279 + 5.71320i 0.120248 + 0.482854i
\(141\) 3.30286 6.17921i 0.278151 0.520383i
\(142\) −0.292661 + 11.5987i −0.0245596 + 0.973343i
\(143\) −1.62433 3.92148i −0.135833 0.327931i
\(144\) −1.87594 3.53282i −0.156328 0.294402i
\(145\) 3.54176 8.55055i 0.294127 0.710085i
\(146\) −13.6928 6.08081i −1.13323 0.503252i
\(147\) −0.438610 1.44590i −0.0361759 0.119256i
\(148\) −14.8639 13.5089i −1.22181 1.11043i
\(149\) 9.37384 0.923243i 0.767935 0.0756350i 0.293540 0.955947i \(-0.405167\pi\)
0.474395 + 0.880312i \(0.342667\pi\)
\(150\) −3.81626 + 2.97405i −0.311596 + 0.242830i
\(151\) −18.5904 + 12.4217i −1.51286 + 1.01086i −0.525785 + 0.850617i \(0.676228\pi\)
−0.987077 + 0.160245i \(0.948772\pi\)
\(152\) −9.56874 3.71362i −0.776127 0.301214i
\(153\) 2.14637 3.21227i 0.173524 0.259696i
\(154\) 5.70382 6.60319i 0.459627 0.532100i
\(155\) 0.0106897 0.0352393i 0.000858619 0.00283049i
\(156\) −1.65345 2.76719i −0.132382 0.221552i
\(157\) 10.1602 8.33825i 0.810871 0.665465i −0.134698 0.990887i \(-0.543006\pi\)
0.945569 + 0.325422i \(0.105506\pi\)
\(158\) 1.73596 + 10.0453i 0.138105 + 0.799161i
\(159\) 1.06469 1.06469i 0.0844356 0.0844356i
\(160\) 4.11263 5.79732i 0.325132 0.458318i
\(161\) −11.7454 11.7454i −0.925668 0.925668i
\(162\) −0.815105 + 1.15568i −0.0640407 + 0.0907990i
\(163\) 9.87051 + 12.0272i 0.773118 + 0.942047i 0.999488 0.0319946i \(-0.0101859\pi\)
−0.226370 + 0.974041i \(0.572686\pi\)
\(164\) −0.467177 3.17938i −0.0364804 0.248268i
\(165\) −3.16653 0.960557i −0.246514 0.0747793i
\(166\) 1.05415 + 14.4251i 0.0818178 + 1.11960i
\(167\) 10.7474 + 7.18117i 0.831657 + 0.555696i 0.896930 0.442172i \(-0.145792\pi\)
−0.0652731 + 0.997867i \(0.520792\pi\)
\(168\) 3.55670 5.59126i 0.274405 0.431375i
\(169\) 5.77915 + 8.64911i 0.444550 + 0.665316i
\(170\) 6.81291 + 0.845018i 0.522527 + 0.0648099i
\(171\) 0.355695 + 3.61143i 0.0272007 + 0.276173i
\(172\) −7.81262 + 21.7411i −0.595707 + 1.65774i
\(173\) −6.51753 + 1.97707i −0.495518 + 0.150314i −0.528146 0.849154i \(-0.677113\pi\)
0.0326274 + 0.999468i \(0.489613\pi\)
\(174\) −9.72118 + 3.74224i −0.736960 + 0.283699i
\(175\) −7.40522 3.06734i −0.559782 0.231869i
\(176\) −10.5339 0.0287861i −0.794023 0.00216983i
\(177\) −7.40196 + 3.06599i −0.556366 + 0.230454i
\(178\) 8.57957 8.15726i 0.643066 0.611413i
\(179\) −22.6499 12.1066i −1.69293 0.904890i −0.978784 0.204895i \(-0.934315\pi\)
−0.714147 0.699996i \(-0.753185\pi\)
\(180\) −2.48532 0.372134i −0.185245 0.0277373i
\(181\) 5.58223 + 4.58122i 0.414924 + 0.340519i 0.818581 0.574391i \(-0.194761\pi\)
−0.403657 + 0.914910i \(0.632261\pi\)
\(182\) 2.63540 4.64473i 0.195349 0.344291i
\(183\) 0.824630 4.14570i 0.0609584 0.306459i
\(184\) −1.51618 + 19.9956i −0.111774 + 1.47410i
\(185\) −12.3764 + 2.46182i −0.909930 + 0.180996i
\(186\) −0.0370339 + 0.0186096i −0.00271545 + 0.00136452i
\(187\) −4.79604 8.97276i −0.350721 0.656153i
\(188\) −9.39640 10.3958i −0.685303 0.758195i
\(189\) −2.33159 0.229641i −0.169598 0.0167039i
\(190\) −5.45039 + 3.44621i −0.395413 + 0.250014i
\(191\) 8.80439i 0.637063i −0.947912 0.318532i \(-0.896810\pi\)
0.947912 0.318532i \(-0.103190\pi\)
\(192\) −7.91816 + 1.14140i −0.571444 + 0.0823732i
\(193\) 13.1337i 0.945383i −0.881228 0.472692i \(-0.843282\pi\)
0.881228 0.472692i \(-0.156718\pi\)
\(194\) −0.521881 0.825387i −0.0374689 0.0592593i
\(195\) −2.01546 0.198506i −0.144330 0.0142153i
\(196\) −3.01808 0.152403i −0.215577 0.0108859i
\(197\) −4.72262 8.83539i −0.336472 0.629496i 0.655608 0.755102i \(-0.272413\pi\)
−0.992080 + 0.125606i \(0.959913\pi\)
\(198\) 1.67222 + 3.32779i 0.118840 + 0.236496i
\(199\) 3.48367 0.692946i 0.246951 0.0491216i −0.0700626 0.997543i \(-0.522320\pi\)
0.317014 + 0.948421i \(0.397320\pi\)
\(200\) 3.01651 + 9.19434i 0.213300 + 0.650138i
\(201\) −1.21318 + 6.09907i −0.0855712 + 0.430195i
\(202\) −12.1148 6.87389i −0.852394 0.483645i
\(203\) −13.3397 10.9476i −0.936260 0.768369i
\(204\) −4.59432 6.21244i −0.321667 0.434958i
\(205\) −1.78053 0.951711i −0.124357 0.0664704i
\(206\) −1.31960 1.38792i −0.0919410 0.0967009i
\(207\) 6.55014 2.71316i 0.455266 0.188577i
\(208\) −6.32662 + 1.24048i −0.438672 + 0.0860118i
\(209\) 8.82922 + 3.65718i 0.610730 + 0.252973i
\(210\) −1.49567 3.88529i −0.103211 0.268110i
\(211\) −3.97562 + 1.20599i −0.273693 + 0.0830239i −0.424148 0.905593i \(-0.639426\pi\)
0.150455 + 0.988617i \(0.451926\pi\)
\(212\) −1.28382 2.72403i −0.0881732 0.187087i
\(213\) −0.804146 8.16464i −0.0550992 0.559432i
\(214\) 0.313346 2.52633i 0.0214199 0.172697i
\(215\) 8.06363 + 12.0681i 0.549935 + 0.823036i
\(216\) 1.62389 + 2.31581i 0.110492 + 0.157571i
\(217\) −0.0570911 0.0381471i −0.00387560 0.00258959i
\(218\) 4.87628 0.356347i 0.330263 0.0241348i
\(219\) 10.1379 + 3.07530i 0.685057 + 0.207810i
\(220\) −3.94962 + 5.31026i −0.266283 + 0.358018i
\(221\) −3.95027 4.81342i −0.265724 0.323786i
\(222\) 11.6062 + 8.18589i 0.778959 + 0.549401i
\(223\) −15.5660 15.5660i −1.04238 1.04238i −0.999061 0.0433152i \(-0.986208\pi\)
−0.0433152 0.999061i \(-0.513792\pi\)
\(224\) −8.11809 10.4760i −0.542413 0.699954i
\(225\) 2.41913 2.41913i 0.161275 0.161275i
\(226\) −20.9637 + 3.62279i −1.39448 + 0.240985i
\(227\) 14.3862 11.8065i 0.954847 0.783622i −0.0215145 0.999769i \(-0.506849\pi\)
0.976361 + 0.216146i \(0.0693488\pi\)
\(228\) 7.03789 + 1.77312i 0.466096 + 0.117428i
\(229\) −8.28225 + 27.3029i −0.547307 + 1.80423i 0.0456035 + 0.998960i \(0.485479\pi\)
−0.592910 + 0.805269i \(0.702021\pi\)
\(230\) 9.53405 + 8.23550i 0.628657 + 0.543032i
\(231\) −3.42782 + 5.13010i −0.225534 + 0.337536i
\(232\) 0.468586 + 20.8279i 0.0307642 + 1.36742i
\(233\) 20.6113 13.7721i 1.35029 0.902238i 0.350879 0.936421i \(-0.385883\pi\)
0.999416 + 0.0341830i \(0.0108829\pi\)
\(234\) 1.40112 + 1.79791i 0.0915943 + 0.117533i
\(235\) −8.76142 + 0.862925i −0.571532 + 0.0562910i
\(236\) 0.764375 + 16.0054i 0.0497566 + 1.04186i
\(237\) −2.09248 6.89799i −0.135921 0.448073i
\(238\) 5.19530 11.6988i 0.336761 0.758322i
\(239\) −4.59748 + 11.0993i −0.297386 + 0.717954i 0.702593 + 0.711592i \(0.252025\pi\)
−0.999980 + 0.00636264i \(0.997975\pi\)
\(240\) −2.38137 + 4.42610i −0.153717 + 0.285703i
\(241\) 1.64636 + 3.97466i 0.106051 + 0.256030i 0.967993 0.250977i \(-0.0807518\pi\)
−0.861942 + 0.507007i \(0.830752\pi\)
\(242\) −5.74659 0.144999i −0.369405 0.00932090i
\(243\) 0.471397 0.881921i 0.0302401 0.0565753i
\(244\) −7.24515 4.35604i −0.463823 0.278867i
\(245\) −1.20443 + 1.46760i −0.0769481 + 0.0937615i
\(246\) 0.604555 + 2.19040i 0.0385450 + 0.139655i
\(247\) 5.73658 + 1.14108i 0.365010 + 0.0726050i
\(248\) 0.00997839 + 0.0822905i 0.000633628 + 0.00522545i
\(249\) −1.99524 10.0307i −0.126443 0.635673i
\(250\) 14.2058 + 4.70372i 0.898452 + 0.297489i
\(251\) −8.39487 + 4.48715i −0.529879 + 0.283226i −0.714562 0.699572i \(-0.753374\pi\)
0.184683 + 0.982798i \(0.440874\pi\)
\(252\) −2.00920 + 4.23312i −0.126568 + 0.266661i
\(253\) 1.83007 18.5810i 0.115056 1.16818i
\(254\) 0.448302 1.99002i 0.0281290 0.124865i
\(255\) −4.85437 −0.303993
\(256\) −3.20716 + 15.6753i −0.200448 + 0.979704i
\(257\) 13.4436 0.838587 0.419293 0.907851i \(-0.362278\pi\)
0.419293 + 0.907851i \(0.362278\pi\)
\(258\) 3.59007 15.9364i 0.223508 0.992155i
\(259\) −2.30623 + 23.4155i −0.143302 + 1.45497i
\(260\) −1.73678 + 3.65918i −0.107711 + 0.226932i
\(261\) 6.49592 3.47214i 0.402088 0.214920i
\(262\) 3.02975 + 1.00319i 0.187179 + 0.0619773i
\(263\) 2.91564 + 14.6579i 0.179786 + 0.903846i 0.960356 + 0.278777i \(0.0899291\pi\)
−0.780570 + 0.625069i \(0.785071\pi\)
\(264\) 7.39446 0.896638i 0.455098 0.0551843i
\(265\) −1.85558 0.369099i −0.113988 0.0226736i
\(266\) 3.19896 + 11.5904i 0.196141 + 0.710651i
\(267\) −5.31056 + 6.47093i −0.325001 + 0.396015i
\(268\) 10.6589 + 6.40853i 0.651098 + 0.391463i
\(269\) −2.06379 + 3.86107i −0.125831 + 0.235414i −0.936947 0.349472i \(-0.886361\pi\)
0.811115 + 0.584886i \(0.198861\pi\)
\(270\) 1.77642 + 0.0448229i 0.108109 + 0.00272784i
\(271\) 4.83178 + 11.6649i 0.293510 + 0.708595i 1.00000 0.000871998i \(0.000277566\pi\)
−0.706490 + 0.707723i \(0.749722\pi\)
\(272\) −14.8002 + 4.44547i −0.897395 + 0.269546i
\(273\) −1.44508 + 3.48873i −0.0874601 + 0.211147i
\(274\) 8.30360 18.6981i 0.501639 1.12960i
\(275\) −2.61535 8.62166i −0.157712 0.519905i
\(276\) −0.676410 14.1635i −0.0407151 0.852542i
\(277\) 24.7898 2.44158i 1.48947 0.146700i 0.679721 0.733471i \(-0.262101\pi\)
0.809753 + 0.586771i \(0.199601\pi\)
\(278\) −2.57035 3.29824i −0.154159 0.197815i
\(279\) 0.0243680 0.0162822i 0.00145888 0.000974790i
\(280\) −8.32436 + 0.187281i −0.497476 + 0.0111922i
\(281\) −3.94090 + 5.89798i −0.235095 + 0.351844i −0.930193 0.367071i \(-0.880361\pi\)
0.695099 + 0.718915i \(0.255361\pi\)
\(282\) 7.49856 + 6.47724i 0.446533 + 0.385714i
\(283\) −2.56933 + 8.46994i −0.152731 + 0.503486i −0.999599 0.0283170i \(-0.990985\pi\)
0.846868 + 0.531803i \(0.178485\pi\)
\(284\) −15.9111 4.00863i −0.944149 0.237868i
\(285\) 3.52475 2.89269i 0.208788 0.171348i
\(286\) 5.91507 1.02220i 0.349765 0.0604439i
\(287\) −2.66185 + 2.66185i −0.157124 + 0.157124i
\(288\) 5.45706 1.49012i 0.321560 0.0878064i
\(289\) 1.46686 + 1.46686i 0.0862857 + 0.0862857i
\(290\) 10.6959 + 7.54385i 0.628085 + 0.442990i
\(291\) 0.438058 + 0.533776i 0.0256794 + 0.0312905i
\(292\) 12.6450 17.0013i 0.739995 0.994923i
\(293\) 2.86006 + 0.867591i 0.167087 + 0.0506852i 0.372720 0.927944i \(-0.378425\pi\)
−0.205633 + 0.978629i \(0.565925\pi\)
\(294\) 2.13114 0.155739i 0.124291 0.00908287i
\(295\) 8.37039 + 5.59292i 0.487343 + 0.325632i
\(296\) 23.2571 16.3083i 1.35179 0.947900i
\(297\) −1.46309 2.18966i −0.0848969 0.127057i
\(298\) −1.63963 + 13.2195i −0.0949815 + 0.765783i
\(299\) −1.12006 11.3721i −0.0647746 0.657668i
\(300\) −2.91702 6.18939i −0.168414 0.357345i
\(301\) 25.8974 7.85590i 1.49270 0.452807i
\(302\) −11.3596 29.5086i −0.653671 1.69803i
\(303\) 9.09960 + 3.76918i 0.522758 + 0.216534i
\(304\) 8.09740 12.0472i 0.464418 0.690955i
\(305\) −4.90689 + 2.03250i −0.280968 + 0.116381i
\(306\) 3.76468 + 3.95958i 0.215212 + 0.226354i
\(307\) 26.8834 + 14.3695i 1.53432 + 0.820111i 0.999688 0.0249747i \(-0.00795050\pi\)
0.534631 + 0.845085i \(0.320451\pi\)
\(308\) 7.33728 + 9.92148i 0.418080 + 0.565329i
\(309\) 1.04680 + 0.859090i 0.0595506 + 0.0488719i
\(310\) 0.0452951 + 0.0257003i 0.00257259 + 0.00145968i
\(311\) −6.17684 + 31.0531i −0.350256 + 1.76086i 0.257058 + 0.966396i \(0.417247\pi\)
−0.607315 + 0.794461i \(0.707753\pi\)
\(312\) 4.33161 1.42113i 0.245229 0.0804557i
\(313\) −29.8959 + 5.94666i −1.68981 + 0.336125i −0.943979 0.330005i \(-0.892949\pi\)
−0.745835 + 0.666130i \(0.767949\pi\)
\(314\) 8.34600 + 16.6089i 0.470992 + 0.937295i
\(315\) 1.38772 + 2.59624i 0.0781893 + 0.146282i
\(316\) −14.3984 0.727071i −0.809974 0.0409009i
\(317\) −12.8471 1.26533i −0.721566 0.0710681i −0.269434 0.963019i \(-0.586837\pi\)
−0.452132 + 0.891951i \(0.649337\pi\)
\(318\) 1.13799 + 1.79980i 0.0638151 + 0.100928i
\(319\) 19.3973i 1.08604i
\(320\) 6.72001 + 7.47574i 0.375660 + 0.417907i
\(321\) 1.80008i 0.100470i
\(322\) 19.8549 12.5540i 1.10647 0.699605i
\(323\) 13.9523 + 1.37418i 0.776325 + 0.0764613i
\(324\) −1.34109 1.48374i −0.0745051 0.0824298i
\(325\) −2.59935 4.86304i −0.144186 0.269753i
\(326\) −19.6610 + 9.87969i −1.08892 + 0.547185i
\(327\) −3.39081 + 0.674475i −0.187512 + 0.0372985i
\(328\) 4.53159 + 0.343610i 0.250215 + 0.0189727i
\(329\) −3.20248 + 16.1000i −0.176559 + 0.887620i
\(330\) 2.30938 4.07013i 0.127127 0.224053i
\(331\) −17.6287 14.4675i −0.968958 0.795204i 0.00985638 0.999951i \(-0.496863\pi\)
−0.978815 + 0.204748i \(0.934363\pi\)
\(332\) −20.2290 3.02894i −1.11021 0.166235i
\(333\) −8.85691 4.73412i −0.485355 0.259428i
\(334\) −13.2477 + 12.5956i −0.724882 + 0.689201i
\(335\) 7.21893 2.99018i 0.394412 0.163371i
\(336\) 6.60850 + 6.64472i 0.360523 + 0.362499i
\(337\) 0.715775 + 0.296484i 0.0389908 + 0.0161505i 0.402094 0.915599i \(-0.368283\pi\)
−0.363103 + 0.931749i \(0.618283\pi\)
\(338\) −13.7288 + 5.28501i −0.746748 + 0.287467i
\(339\) 14.3955 4.36683i 0.781857 0.237174i
\(340\) −3.28326 + 9.13673i −0.178060 + 0.495509i
\(341\) −0.00756498 0.0768085i −0.000409666 0.00415941i
\(342\) −5.09302 0.631697i −0.275399 0.0341583i
\(343\) 11.0781 + 16.5796i 0.598162 + 0.895212i
\(344\) −27.5667 17.5357i −1.48630 0.945461i
\(345\) −7.40712 4.94928i −0.398786 0.266460i
\(346\) −0.702005 9.60631i −0.0377400 0.516438i
\(347\) 16.9762 + 5.14969i 0.911333 + 0.276450i 0.710929 0.703264i \(-0.248275\pi\)
0.200404 + 0.979713i \(0.435775\pi\)
\(348\) −2.14162 14.5748i −0.114803 0.781291i
\(349\) 21.3431 + 26.0067i 1.14247 + 1.39210i 0.907474 + 0.420108i \(0.138008\pi\)
0.234996 + 0.971996i \(0.424492\pi\)
\(350\) 6.53336 9.26320i 0.349223 0.495139i
\(351\) −1.13969 1.13969i −0.0608324 0.0608324i
\(352\) 3.31364 14.5240i 0.176618 0.774134i
\(353\) 18.5978 18.5978i 0.989862 0.989862i −0.0100873 0.999949i \(-0.503211\pi\)
0.999949 + 0.0100873i \(0.00321095\pi\)
\(354\) −1.92945 11.1649i −0.102549 0.593410i
\(355\) −7.96868 + 6.53972i −0.422933 + 0.347093i
\(356\) 8.58756 + 14.3720i 0.455140 + 0.761713i
\(357\) −2.62747 + 8.66160i −0.139060 + 0.458420i
\(358\) 23.7423 27.4859i 1.25482 1.45268i
\(359\) −1.76525 + 2.64188i −0.0931661 + 0.139433i −0.875125 0.483897i \(-0.839221\pi\)
0.781959 + 0.623330i \(0.214221\pi\)
\(360\) 1.28585 3.31319i 0.0677701 0.174621i
\(361\) 4.84833 3.23955i 0.255175 0.170503i
\(362\) −8.05538 + 6.27763i −0.423381 + 0.329945i
\(363\) 4.04517 0.398415i 0.212316 0.0209113i
\(364\) 5.58898 + 5.07948i 0.292942 + 0.266237i
\(365\) −3.86417 12.7385i −0.202260 0.666761i
\(366\) 5.46327 + 2.42617i 0.285570 + 0.126818i
\(367\) −3.62419 + 8.74957i −0.189181 + 0.456724i −0.989802 0.142447i \(-0.954503\pi\)
0.800621 + 0.599171i \(0.204503\pi\)
\(368\) −27.1155 8.30639i −1.41349 0.433001i
\(369\) −0.614880 1.48445i −0.0320094 0.0772775i
\(370\) 0.450145 17.8401i 0.0234019 0.927462i
\(371\) −1.66293 + 3.11112i −0.0863350 + 0.161521i
\(372\) −0.0141644 0.0568772i −0.000734392 0.00294895i
\(373\) 7.05614 8.59793i 0.365353 0.445184i −0.557592 0.830115i \(-0.688275\pi\)
0.922945 + 0.384931i \(0.125775\pi\)
\(374\) 13.8698 3.82809i 0.717189 0.197946i
\(375\) −10.3780 2.06431i −0.535918 0.106601i
\(376\) 17.2629 9.73263i 0.890266 0.501922i
\(377\) −2.31606 11.6436i −0.119283 0.599678i
\(378\) 1.04148 3.14538i 0.0535678 0.161781i
\(379\) −19.0043 + 10.1580i −0.976183 + 0.521781i −0.880712 0.473652i \(-0.842936\pi\)
−0.0954707 + 0.995432i \(0.530436\pi\)
\(380\) −3.06055 8.59065i −0.157003 0.440691i
\(381\) −0.141382 + 1.43547i −0.00724321 + 0.0735416i
\(382\) 12.1469 + 2.73639i 0.621488 + 0.140006i
\(383\) 14.9429 0.763548 0.381774 0.924256i \(-0.375313\pi\)
0.381774 + 0.924256i \(0.375313\pi\)
\(384\) 0.886236 11.2789i 0.0452256 0.575576i
\(385\) 7.75259 0.395109
\(386\) 18.1197 + 4.08193i 0.922270 + 0.207765i
\(387\) −1.13221 + 11.4955i −0.0575533 + 0.584349i
\(388\) 1.30094 0.463478i 0.0660450 0.0235295i
\(389\) −8.06857 + 4.31274i −0.409093 + 0.218665i −0.663089 0.748541i \(-0.730755\pi\)
0.253996 + 0.967205i \(0.418255\pi\)
\(390\) 0.900270 2.71892i 0.0455869 0.137678i
\(391\) −5.34363 26.8642i −0.270239 1.35858i
\(392\) 1.14828 4.11650i 0.0579968 0.207915i
\(393\) −2.21338 0.440269i −0.111650 0.0222086i
\(394\) 13.6574 3.76948i 0.688052 0.189904i
\(395\) −5.74598 + 7.00150i −0.289112 + 0.352284i
\(396\) −5.11087 + 1.27279i −0.256831 + 0.0639600i
\(397\) −7.92746 + 14.8312i −0.397868 + 0.744358i −0.998476 0.0551853i \(-0.982425\pi\)
0.600609 + 0.799543i \(0.294925\pi\)
\(398\) −0.126706 + 5.02158i −0.00635118 + 0.251709i
\(399\) −3.25359 7.85487i −0.162883 0.393235i
\(400\) −13.6224 + 1.30411i −0.681120 + 0.0652056i
\(401\) 6.05420 14.6161i 0.302333 0.729895i −0.697578 0.716509i \(-0.745739\pi\)
0.999910 0.0133864i \(-0.00426114\pi\)
\(402\) −8.03746 3.56933i −0.400872 0.178022i
\(403\) −0.0137120 0.0452025i −0.000683045 0.00225170i
\(404\) 13.2487 14.5777i 0.659150 0.725266i
\(405\) −1.25046 + 0.123160i −0.0621361 + 0.00611987i
\(406\) 19.2496 15.0014i 0.955344 0.744508i
\(407\) −21.9902 + 14.6934i −1.09002 + 0.728325i
\(408\) 9.99884 4.40768i 0.495016 0.218213i
\(409\) −19.4361 + 29.0882i −0.961054 + 1.43832i −0.0632119 + 0.998000i \(0.520134\pi\)
−0.897842 + 0.440318i \(0.854866\pi\)
\(410\) 1.86640 2.16069i 0.0921751 0.106709i
\(411\) −4.19946 + 13.8437i −0.207144 + 0.682862i
\(412\) 2.32496 1.38921i 0.114542 0.0684415i
\(413\) 14.5099 11.9080i 0.713986 0.585954i
\(414\) 1.70740 + 9.88007i 0.0839143 + 0.485579i
\(415\) −9.08682 + 9.08682i −0.446055 + 0.446055i
\(416\) 0.254890 9.11399i 0.0124970 0.446850i
\(417\) 2.09076 + 2.09076i 0.102385 + 0.102385i
\(418\) −7.78970 + 11.0445i −0.381007 + 0.540204i
\(419\) 21.3729 + 26.0429i 1.04413 + 1.27228i 0.961237 + 0.275722i \(0.0889170\pi\)
0.0828961 + 0.996558i \(0.473583\pi\)
\(420\) 5.82515 0.855947i 0.284238 0.0417659i
\(421\) −36.2186 10.9868i −1.76519 0.535464i −0.770412 0.637546i \(-0.779950\pi\)
−0.994776 + 0.102082i \(0.967450\pi\)
\(422\) −0.428216 5.85974i −0.0208452 0.285248i
\(423\) −5.82572 3.89262i −0.283256 0.189266i
\(424\) 4.15719 0.924583i 0.201891 0.0449017i
\(425\) −7.34309 10.9897i −0.356192 0.533079i
\(426\) 11.5142 + 1.42813i 0.557864 + 0.0691929i
\(427\) 0.970674 + 9.85542i 0.0469742 + 0.476937i
\(428\) 3.38804 + 1.21749i 0.163767 + 0.0588494i
\(429\) −4.06181 + 1.23214i −0.196106 + 0.0594881i
\(430\) −19.1558 + 7.37416i −0.923772 + 0.355614i
\(431\) 12.9768 + 5.37517i 0.625070 + 0.258913i 0.672657 0.739954i \(-0.265153\pi\)
−0.0475865 + 0.998867i \(0.515153\pi\)
\(432\) −3.69969 + 1.52063i −0.178001 + 0.0731613i
\(433\) 20.8571 8.63928i 1.00233 0.415177i 0.179677 0.983726i \(-0.442495\pi\)
0.822650 + 0.568548i \(0.192495\pi\)
\(434\) 0.0703730 0.0669091i 0.00337801 0.00321174i
\(435\) −8.16223 4.36280i −0.391349 0.209180i
\(436\) −1.02391 + 6.83826i −0.0490364 + 0.327493i
\(437\) 19.8882 + 16.3219i 0.951383 + 0.780780i
\(438\) −7.39366 + 13.0309i −0.353283 + 0.622639i
\(439\) 6.92681 34.8234i 0.330598 1.66203i −0.355617 0.934632i \(-0.615729\pi\)
0.686215 0.727399i \(-0.259271\pi\)
\(440\) −6.09871 7.09947i −0.290745 0.338454i
\(441\) −1.48193 + 0.294775i −0.0705682 + 0.0140369i
\(442\) 7.86853 3.95395i 0.374268 0.188070i
\(443\) −1.88281 3.52249i −0.0894550 0.167359i 0.833215 0.552949i \(-0.186498\pi\)
−0.922670 + 0.385591i \(0.873998\pi\)
\(444\) −14.9008 + 13.4682i −0.707160 + 0.639174i
\(445\) 10.4677 + 1.03098i 0.496218 + 0.0488732i
\(446\) 26.3134 16.6376i 1.24597 0.787812i
\(447\) 9.41920i 0.445513i
\(448\) 16.9761 7.94413i 0.802047 0.375325i
\(449\) 26.1201i 1.23268i −0.787479 0.616342i \(-0.788614\pi\)
0.787479 0.616342i \(-0.211386\pi\)
\(450\) 2.58567 + 4.08939i 0.121889 + 0.192776i
\(451\) −4.21101 0.414748i −0.198289 0.0195297i
\(452\) 1.51734 30.0483i 0.0713695 1.41335i
\(453\) 10.5397 + 19.7184i 0.495198 + 0.926451i
\(454\) 11.8174 + 23.5172i 0.554620 + 1.10372i
\(455\) 4.65364 0.925667i 0.218166 0.0433960i
\(456\) −4.63364 + 9.15866i −0.216990 + 0.428894i
\(457\) 0.294559 1.48085i 0.0137789 0.0692711i −0.973284 0.229604i \(-0.926257\pi\)
0.987063 + 0.160333i \(0.0512568\pi\)
\(458\) −35.0941 19.9122i −1.63984 0.930437i
\(459\) −2.98642 2.45089i −0.139394 0.114398i
\(460\) −14.3252 + 10.5940i −0.667915 + 0.493946i
\(461\) −35.4237 18.9344i −1.64985 0.881862i −0.991642 0.129024i \(-0.958816\pi\)
−0.658206 0.752838i \(-0.728684\pi\)
\(462\) −6.01232 6.32358i −0.279719 0.294200i
\(463\) −29.7435 + 12.3202i −1.38230 + 0.572567i −0.945095 0.326795i \(-0.894031\pi\)
−0.437204 + 0.899362i \(0.644031\pi\)
\(464\) −28.8807 5.82681i −1.34075 0.270503i
\(465\) −0.0340218 0.0140923i −0.00157772 0.000653515i
\(466\) 12.5945 + 32.7166i 0.583429 + 1.51557i
\(467\) 31.7059 9.61787i 1.46717 0.445062i 0.547186 0.837011i \(-0.315699\pi\)
0.919987 + 0.391949i \(0.128199\pi\)
\(468\) −2.91593 + 1.37426i −0.134789 + 0.0635252i
\(469\) −1.42804 14.4991i −0.0659407 0.669507i
\(470\) 1.53251 12.3558i 0.0706895 0.569931i
\(471\) −7.30222 10.9286i −0.336469 0.503561i
\(472\) −22.3193 3.91990i −1.02733 0.180428i
\(473\) 25.2931 + 16.9003i 1.16298 + 0.777076i
\(474\) 10.1671 0.742985i 0.466989 0.0341265i
\(475\) 11.8805 + 3.60391i 0.545115 + 0.165359i
\(476\) 14.5255 + 10.8036i 0.665774 + 0.495183i
\(477\) −0.955207 1.16392i −0.0437359 0.0532924i
\(478\) −13.8841 9.79251i −0.635046 0.447899i
\(479\) 20.6901 + 20.6901i 0.945355 + 0.945355i 0.998582 0.0532272i \(-0.0169507\pi\)
−0.0532272 + 0.998582i \(0.516951\pi\)
\(480\) −5.36629 4.66106i −0.244937 0.212747i
\(481\) −11.4457 + 11.4457i −0.521877 + 0.521877i
\(482\) −5.99528 + 1.03606i −0.273077 + 0.0471913i
\(483\) −12.8401 + 10.5376i −0.584245 + 0.479477i
\(484\) 1.98608 7.88315i 0.0902763 0.358325i
\(485\) 0.251864 0.830283i 0.0114365 0.0377012i
\(486\) 1.07022 + 0.924457i 0.0485463 + 0.0419342i
\(487\) 4.73493 7.08633i 0.214560 0.321112i −0.708541 0.705670i \(-0.750646\pi\)
0.923101 + 0.384558i \(0.125646\pi\)
\(488\) 8.26154 8.64184i 0.373983 0.391198i
\(489\) 12.9368 8.64410i 0.585023 0.390900i
\(490\) −1.65042 2.11780i −0.0745585 0.0956726i
\(491\) −15.2392 + 1.50093i −0.687736 + 0.0677361i −0.435848 0.900020i \(-0.643552\pi\)
−0.251888 + 0.967756i \(0.581052\pi\)
\(492\) −3.20986 + 0.153294i −0.144712 + 0.00691104i
\(493\) −8.26039 27.2308i −0.372029 1.22642i
\(494\) −3.35720 + 7.55977i −0.151047 + 0.340130i
\(495\) −1.26631 + 3.05713i −0.0569162 + 0.137408i
\(496\) −0.116632 0.0118092i −0.00523695 0.000530249i
\(497\) 7.35565 + 17.7581i 0.329946 + 0.796560i
\(498\) 14.4589 + 0.364831i 0.647920 + 0.0163485i
\(499\) 6.03557 11.2918i 0.270189 0.505488i −0.709835 0.704368i \(-0.751230\pi\)
0.980024 + 0.198880i \(0.0637304\pi\)
\(500\) −10.9046 + 18.1369i −0.487667 + 0.811108i
\(501\) 8.20002 9.99175i 0.366350 0.446399i
\(502\) −3.58153 12.9765i −0.159852 0.579169i
\(503\) 13.8941 + 2.76371i 0.619508 + 0.123228i 0.494859 0.868973i \(-0.335220\pi\)
0.124649 + 0.992201i \(0.460220\pi\)
\(504\) −5.21572 4.08761i −0.232326 0.182077i
\(505\) −2.41441 12.1380i −0.107440 0.540136i
\(506\) 25.0663 + 8.29980i 1.11434 + 0.368971i
\(507\) 9.17392 4.90356i 0.407428 0.217775i
\(508\) 2.60618 + 1.23699i 0.115630 + 0.0548826i
\(509\) −4.30601 + 43.7196i −0.190860 + 1.93784i 0.131701 + 0.991289i \(0.457956\pi\)
−0.322562 + 0.946548i \(0.604544\pi\)
\(510\) 1.50873 6.69728i 0.0668078 0.296561i
\(511\) −24.8206 −1.09800
\(512\) −20.6294 9.29658i −0.911701 0.410855i
\(513\) 3.62891 0.160220
\(514\) −4.17824 + 18.5473i −0.184294 + 0.818085i
\(515\) 0.166782 1.69337i 0.00734930 0.0746187i
\(516\) 20.8706 + 9.90600i 0.918779 + 0.436087i
\(517\) −16.2729 + 8.69803i −0.715680 + 0.382539i
\(518\) −31.5882 10.4593i −1.38791 0.459554i
\(519\) 1.32872 + 6.67993i 0.0583244 + 0.293216i
\(520\) −4.50855 3.53340i −0.197713 0.154950i
\(521\) 12.5539 + 2.49713i 0.549998 + 0.109401i 0.462264 0.886742i \(-0.347037\pi\)
0.0877344 + 0.996144i \(0.472037\pi\)
\(522\) 2.77138 + 10.0412i 0.121300 + 0.439490i
\(523\) −7.48545 + 9.12104i −0.327316 + 0.398835i −0.910503 0.413502i \(-0.864305\pi\)
0.583187 + 0.812338i \(0.301805\pi\)
\(524\) −2.32568 + 3.86817i −0.101598 + 0.168982i
\(525\) −3.77841 + 7.06891i −0.164903 + 0.308512i
\(526\) −21.1288 0.533127i −0.921260 0.0232454i
\(527\) −0.0433290 0.104606i −0.00188744 0.00455669i
\(528\) −1.06115 + 10.4804i −0.0461807 + 0.456099i
\(529\) 10.4341 25.1901i 0.453655 1.09522i
\(530\) 1.08594 2.44532i 0.0471701 0.106218i
\(531\) 2.32571 + 7.66684i 0.100927 + 0.332713i
\(532\) −16.9847 + 0.811146i −0.736382 + 0.0351676i
\(533\) −2.57726 + 0.253838i −0.111633 + 0.0109949i
\(534\) −7.27704 9.33781i −0.314908 0.404086i
\(535\) 1.88064 1.25660i 0.0813071 0.0543276i
\(536\) −12.1542 + 12.7137i −0.524983 + 0.549149i
\(537\) −14.2684 + 21.3542i −0.615726 + 0.921500i
\(538\) −4.68546 4.04730i −0.202005 0.174491i
\(539\) −1.15507 + 3.80777i −0.0497525 + 0.164012i
\(540\) −0.613947 + 2.43688i −0.0264201 + 0.104867i
\(541\) −12.0970 + 9.92779i −0.520093 + 0.426829i −0.857465 0.514542i \(-0.827962\pi\)
0.337372 + 0.941371i \(0.390462\pi\)
\(542\) −17.5951 + 3.04066i −0.755775 + 0.130608i
\(543\) 5.10631 5.10631i 0.219133 0.219133i
\(544\) −1.53326 21.8006i −0.0657378 0.934694i
\(545\) 3.07173 + 3.07173i 0.131578 + 0.131578i
\(546\) −4.36405 3.07798i −0.186764 0.131725i
\(547\) 19.9341 + 24.2898i 0.852320 + 1.03855i 0.998782 + 0.0493385i \(0.0157113\pi\)
−0.146462 + 0.989216i \(0.546789\pi\)
\(548\) 23.2159 + 17.2673i 0.991735 + 0.737623i
\(549\) −4.04490 1.22701i −0.172632 0.0523674i
\(550\) 12.7076 0.928642i 0.541855 0.0395974i
\(551\) 22.2246 + 14.8500i 0.946798 + 0.632630i
\(552\) 19.7507 + 3.46879i 0.840647 + 0.147642i
\(553\) 9.38263 + 14.0421i 0.398990 + 0.597131i
\(554\) −4.33613 + 34.9598i −0.184224 + 1.48530i
\(555\) 1.23686 + 12.5581i 0.0525020 + 0.533061i
\(556\) 5.34924 2.52107i 0.226858 0.106917i
\(557\) −18.7169 + 5.67771i −0.793060 + 0.240572i −0.660720 0.750632i \(-0.729749\pi\)
−0.132340 + 0.991204i \(0.542249\pi\)
\(558\) 0.0148900 + 0.0386796i 0.000630345 + 0.00163744i
\(559\) 17.2006 + 7.12470i 0.727506 + 0.301343i
\(560\) 2.32882 11.5428i 0.0984106 0.487773i
\(561\) −9.39965 + 3.89346i −0.396854 + 0.164382i
\(562\) −6.91225 7.27011i −0.291576 0.306671i
\(563\) −23.4274 12.5222i −0.987349 0.527749i −0.103053 0.994676i \(-0.532861\pi\)
−0.884296 + 0.466927i \(0.845361\pi\)
\(564\) −11.2668 + 8.33219i −0.474418 + 0.350848i
\(565\) −14.6115 11.9914i −0.614712 0.504481i
\(566\) −10.8869 6.17719i −0.457611 0.259647i
\(567\) −0.457071 + 2.29785i −0.0191952 + 0.0965007i
\(568\) 10.4756 20.7057i 0.439547 0.868791i
\(569\) 39.0357 7.76468i 1.63646 0.325512i 0.710663 0.703533i \(-0.248395\pi\)
0.925797 + 0.378020i \(0.123395\pi\)
\(570\) 2.89538 + 5.76193i 0.121274 + 0.241341i
\(571\) −2.99505 5.60335i −0.125339 0.234493i 0.811423 0.584459i \(-0.198693\pi\)
−0.936762 + 0.349966i \(0.886193\pi\)
\(572\) −0.428128 + 8.47836i −0.0179009 + 0.354498i
\(573\) −8.76199 0.862981i −0.366037 0.0360515i
\(574\) −2.84510 4.49969i −0.118752 0.187814i
\(575\) 24.2555i 1.01152i
\(576\) 0.359785 + 7.99191i 0.0149911 + 0.332996i
\(577\) 17.7996i 0.741006i −0.928831 0.370503i \(-0.879185\pi\)
0.928831 0.370503i \(-0.120815\pi\)
\(578\) −2.47963 + 1.56784i −0.103139 + 0.0652134i
\(579\) −13.0704 1.28733i −0.543189 0.0534994i
\(580\) −13.7321 + 12.4119i −0.570193 + 0.515375i
\(581\) 11.2952 + 21.1318i 0.468604 + 0.876696i
\(582\) −0.872566 + 0.438466i −0.0361690 + 0.0181750i
\(583\) −3.88906 + 0.773581i −0.161068 + 0.0320385i
\(584\) 19.5255 + 22.7296i 0.807973 + 0.940556i
\(585\) −0.395100 + 1.98630i −0.0163354 + 0.0821235i
\(586\) −2.08587 + 3.67621i −0.0861663 + 0.151863i
\(587\) 6.93206 + 5.68899i 0.286117 + 0.234810i 0.766493 0.642253i \(-0.222000\pi\)
−0.480376 + 0.877062i \(0.659500\pi\)
\(588\) −0.447493 + 2.98861i −0.0184543 + 0.123248i
\(589\) 0.0937950 + 0.0501345i 0.00386476 + 0.00206576i
\(590\) −10.3177 + 9.80985i −0.424774 + 0.403865i
\(591\) −9.25575 + 3.83386i −0.380731 + 0.157704i
\(592\) 15.2713 + 37.1550i 0.627646 + 1.52706i
\(593\) 27.6188 + 11.4401i 1.13417 + 0.469788i 0.869196 0.494468i \(-0.164637\pi\)
0.264973 + 0.964256i \(0.414637\pi\)
\(594\) 3.47567 1.33799i 0.142609 0.0548983i
\(595\) 10.8834 3.30145i 0.446177 0.135346i
\(596\) −17.7285 6.37070i −0.726187 0.260954i
\(597\) −0.348149 3.53482i −0.0142488 0.144671i
\(598\) 16.0376 + 1.98917i 0.655825 + 0.0813432i
\(599\) −19.8266 29.6726i −0.810093 1.21239i −0.974142 0.225938i \(-0.927455\pi\)
0.164049 0.986452i \(-0.447545\pi\)
\(600\) 9.44573 2.10078i 0.385620 0.0857642i
\(601\) −14.9918 10.0172i −0.611529 0.408611i 0.210876 0.977513i \(-0.432368\pi\)
−0.822405 + 0.568902i \(0.807368\pi\)
\(602\) 2.78942 + 38.1707i 0.113688 + 1.55572i
\(603\) 5.95079 + 1.80515i 0.242335 + 0.0735115i
\(604\) 44.2418 6.50089i 1.80017 0.264517i
\(605\) −3.24011 3.94808i −0.131729 0.160512i
\(606\) −8.02824 + 11.3827i −0.326125 + 0.462391i
\(607\) −16.5731 16.5731i −0.672680 0.672680i 0.285653 0.958333i \(-0.407790\pi\)
−0.958333 + 0.285653i \(0.907790\pi\)
\(608\) 14.1042 + 14.9158i 0.571999 + 0.604914i
\(609\) −12.2024 + 12.2024i −0.494465 + 0.494465i
\(610\) −1.27906 7.40144i −0.0517878 0.299676i
\(611\) −8.72955 + 7.16416i −0.353160 + 0.289831i
\(612\) −6.63285 + 3.96327i −0.268117 + 0.160206i
\(613\) −5.90560 + 19.4682i −0.238525 + 0.786312i 0.753184 + 0.657810i \(0.228517\pi\)
−0.991709 + 0.128502i \(0.958983\pi\)
\(614\) −28.1801 + 32.6234i −1.13725 + 1.31657i
\(615\) −1.12165 + 1.67867i −0.0452293 + 0.0676905i
\(616\) −15.9685 + 7.03922i −0.643388 + 0.283618i
\(617\) 30.9664 20.6911i 1.24666 0.832992i 0.255650 0.966769i \(-0.417711\pi\)
0.991011 + 0.133777i \(0.0427106\pi\)
\(618\) −1.51058 + 1.17721i −0.0607644 + 0.0473542i
\(619\) −15.3457 + 1.51142i −0.616796 + 0.0607491i −0.401590 0.915820i \(-0.631542\pi\)
−0.215206 + 0.976569i \(0.569042\pi\)
\(620\) −0.0495348 + 0.0545033i −0.00198936 + 0.00218891i
\(621\) −2.05807 6.78453i −0.0825873 0.272254i
\(622\) −40.9223 18.1731i −1.64083 0.728673i
\(623\) 7.50532 18.1194i 0.300694 0.725940i
\(624\) 0.614389 + 6.41774i 0.0245953 + 0.256915i
\(625\) −1.45812 3.52021i −0.0583247 0.140808i
\(626\) 1.08735 43.0937i 0.0434593 1.72237i
\(627\) 4.50499 8.42824i 0.179912 0.336591i
\(628\) −25.5082 + 6.35245i −1.01789 + 0.253490i
\(629\) −24.6136 + 29.9918i −0.981410 + 1.19585i
\(630\) −4.01318 + 1.10765i −0.159889 + 0.0441297i
\(631\) 15.8752 + 3.15778i 0.631983 + 0.125709i 0.500679 0.865633i \(-0.333084\pi\)
0.131304 + 0.991342i \(0.458084\pi\)
\(632\) 5.47810 19.6386i 0.217907 0.781183i
\(633\) 0.810505 + 4.07468i 0.0322147 + 0.161954i
\(634\) 5.73857 17.3311i 0.227908 0.688307i
\(635\) 1.59841 0.854370i 0.0634311 0.0339047i
\(636\) −2.83675 + 1.01064i −0.112485 + 0.0400743i
\(637\) −0.238704 + 2.42360i −0.00945780 + 0.0960266i
\(638\) 26.7613 + 6.02867i 1.05949 + 0.238677i
\(639\) −8.20414 −0.324551
\(640\) −12.4024 + 6.94773i −0.490248 + 0.274633i
\(641\) 0.473540 0.0187037 0.00935185 0.999956i \(-0.497023\pi\)
0.00935185 + 0.999956i \(0.497023\pi\)
\(642\) −2.48346 0.559461i −0.0980142 0.0220802i
\(643\) −2.98114 + 30.2680i −0.117565 + 1.19366i 0.737578 + 0.675262i \(0.235970\pi\)
−0.855142 + 0.518393i \(0.826530\pi\)
\(644\) 11.1491 + 31.2943i 0.439335 + 1.23317i
\(645\) 12.8003 6.84192i 0.504013 0.269400i
\(646\) −6.23221 + 18.8220i −0.245203 + 0.740542i
\(647\) −8.82661 44.3744i −0.347010 1.74454i −0.621933 0.783071i \(-0.713652\pi\)
0.274923 0.961466i \(-0.411348\pi\)
\(648\) 2.46383 1.38908i 0.0967884 0.0545682i
\(649\) 20.6936 + 4.11622i 0.812296 + 0.161576i
\(650\) 7.51711 2.07474i 0.294845 0.0813779i
\(651\) −0.0435593 + 0.0530772i −0.00170722 + 0.00208026i
\(652\) −7.51979 30.1957i −0.294498 1.18255i
\(653\) −12.5425 + 23.4653i −0.490824 + 0.918267i 0.507570 + 0.861611i \(0.330544\pi\)
−0.998394 + 0.0566566i \(0.981956\pi\)
\(654\) 0.123328 4.88773i 0.00482251 0.191125i
\(655\) 1.08515 + 2.61978i 0.0424003 + 0.102363i
\(656\) −1.88247 + 6.14517i −0.0734981 + 0.239929i
\(657\) 4.05419 9.78767i 0.158169 0.381853i
\(658\) −21.2168 9.42212i −0.827118 0.367312i
\(659\) 1.44469 + 4.76252i 0.0562773 + 0.185521i 0.980573 0.196157i \(-0.0628462\pi\)
−0.924295 + 0.381678i \(0.875346\pi\)
\(660\) 4.89756 + 4.45110i 0.190637 + 0.173259i
\(661\) −36.4415 + 3.58917i −1.41741 + 0.139603i −0.777517 0.628862i \(-0.783521\pi\)
−0.639892 + 0.768465i \(0.721021\pi\)
\(662\) 25.4388 19.8247i 0.988708 0.770509i
\(663\) −5.17744 + 3.45945i −0.201075 + 0.134354i
\(664\) 10.4660 26.9673i 0.406159 1.04654i
\(665\) −5.93513 + 8.88256i −0.230155 + 0.344451i
\(666\) 9.28408 10.7480i 0.359751 0.416476i
\(667\) 15.1590 49.9725i 0.586959 1.93494i
\(668\) −13.2600 22.1917i −0.513046 0.858624i
\(669\) −17.0168 + 13.9653i −0.657907 + 0.539930i
\(670\) 1.88173 + 10.8889i 0.0726978 + 0.420674i
\(671\) −7.87118 + 7.87118i −0.303863 + 0.303863i
\(672\) −11.2212 + 7.05218i −0.432868 + 0.272044i
\(673\) −34.5172 34.5172i −1.33054 1.33054i −0.904886 0.425654i \(-0.860044\pi\)
−0.425654 0.904886i \(-0.639956\pi\)
\(674\) −0.631503 + 0.895365i −0.0243246 + 0.0344882i
\(675\) −2.17037 2.64460i −0.0835375 0.101791i
\(676\) −3.02452 20.5834i −0.116328 0.791668i
\(677\) −34.6832 10.5210i −1.33298 0.404356i −0.458190 0.888854i \(-0.651502\pi\)
−0.874792 + 0.484498i \(0.839002\pi\)
\(678\) 1.55055 + 21.2178i 0.0595484 + 0.814866i
\(679\) −1.34514 0.898794i −0.0516218 0.0344926i
\(680\) −11.5850 7.36940i −0.444263 0.282604i
\(681\) −10.3395 15.4742i −0.396211 0.592972i
\(682\) 0.108319 + 0.0134350i 0.00414776 + 0.000514454i
\(683\) −3.66380 37.1992i −0.140192 1.42339i −0.765714 0.643182i \(-0.777614\pi\)
0.625522 0.780206i \(-0.284886\pi\)
\(684\) 2.45442 6.83020i 0.0938470 0.261159i
\(685\) 17.3949 5.27668i 0.664624 0.201612i
\(686\) −26.3169 + 10.1309i −1.00478 + 0.386799i
\(687\) 26.3597 + 10.9185i 1.00568 + 0.416568i
\(688\) 32.7606 32.5821i 1.24899 1.24218i
\(689\) −2.24211 + 0.928714i −0.0854178 + 0.0353812i
\(690\) 9.13034 8.68092i 0.347586 0.330477i
\(691\) −21.8484 11.6782i −0.831152 0.444260i 0.000203986 1.00000i \(-0.499935\pi\)
−0.831356 + 0.555740i \(0.812435\pi\)
\(692\) 13.4714 + 2.01711i 0.512106 + 0.0766791i
\(693\) 4.76941 + 3.91415i 0.181175 + 0.148686i
\(694\) −12.3809 + 21.8206i −0.469973 + 0.828298i
\(695\) 0.724807 3.64385i 0.0274935 0.138219i
\(696\) 20.7736 + 1.57517i 0.787420 + 0.0597065i
\(697\) −6.08822 + 1.21102i −0.230608 + 0.0458707i
\(698\) −42.5132 + 21.3630i −1.60915 + 0.808600i
\(699\) −11.6855 21.8620i −0.441986 0.826897i
\(700\) 10.7493 + 11.8927i 0.406286 + 0.449501i
\(701\) −0.663003 0.0653001i −0.0250413 0.00246635i 0.0854887 0.996339i \(-0.472755\pi\)
−0.110530 + 0.993873i \(0.535255\pi\)
\(702\) 1.92658 1.21815i 0.0727142 0.0459762i
\(703\) 36.4442i 1.37452i
\(704\) 19.0081 + 9.08568i 0.716394 + 0.342429i
\(705\) 8.80382i 0.331571i
\(706\) 19.8781 + 31.4384i 0.748122 + 1.18320i
\(707\) −22.9646 2.26181i −0.863672 0.0850643i
\(708\) 16.0033 + 0.808110i 0.601440 + 0.0303706i
\(709\) −3.04769 5.70183i −0.114459 0.214137i 0.818169 0.574978i \(-0.194990\pi\)
−0.932627 + 0.360842i \(0.882490\pi\)
\(710\) −6.54581 13.0264i −0.245660 0.488873i
\(711\) −7.06987 + 1.40629i −0.265141 + 0.0527398i
\(712\) −22.4971 + 7.38094i −0.843116 + 0.276613i
\(713\) 0.0405364 0.203790i 0.00151810 0.00763200i
\(714\) −11.1333 6.31697i −0.416652 0.236407i
\(715\) 4.12276 + 3.38346i 0.154182 + 0.126534i
\(716\) 30.5416 + 41.2984i 1.14139 + 1.54339i
\(717\) 10.5952 + 5.66327i 0.395686 + 0.211499i
\(718\) −3.09620 3.25649i −0.115549 0.121531i
\(719\) −5.02574 + 2.08173i −0.187428 + 0.0776354i −0.474424 0.880297i \(-0.657344\pi\)
0.286995 + 0.957932i \(0.407344\pi\)
\(720\) 4.17137 + 2.80374i 0.155458 + 0.104489i
\(721\) −2.93119 1.21414i −0.109163 0.0452168i
\(722\) 2.96256 + 7.69579i 0.110255 + 0.286408i
\(723\) 4.11689 1.24884i 0.153109 0.0464450i
\(724\) −6.15726 13.0646i −0.228833 0.485542i
\(725\) −2.46995 25.0778i −0.0917316 0.931366i
\(726\) −0.707565 + 5.70470i −0.0262602 + 0.211721i
\(727\) 3.59619 + 5.38207i 0.133375 + 0.199610i 0.892145 0.451748i \(-0.149199\pi\)
−0.758770 + 0.651358i \(0.774199\pi\)
\(728\) −8.74490 + 6.13208i −0.324107 + 0.227270i
\(729\) −0.831470 0.555570i −0.0307952 0.0205767i
\(730\) 18.7754 1.37206i 0.694911 0.0507824i
\(731\) 42.7045 + 12.9543i 1.57948 + 0.479131i
\(732\) −5.04521 + 6.78329i −0.186476 + 0.250718i
\(733\) 3.15481 + 3.84415i 0.116526 + 0.141987i 0.828006 0.560719i \(-0.189475\pi\)
−0.711481 + 0.702706i \(0.751975\pi\)
\(734\) −10.9449 7.71943i −0.403982 0.284929i
\(735\) 1.34248 + 1.34248i 0.0495180 + 0.0495180i
\(736\) 19.8873 34.8280i 0.733055 1.28378i
\(737\) 11.5799 11.5799i 0.426552 0.426552i
\(738\) 2.23911 0.386947i 0.0824229 0.0142437i
\(739\) 34.1702 28.0428i 1.25697 1.03157i 0.259134 0.965841i \(-0.416563\pi\)
0.997838 0.0657283i \(-0.0209370\pi\)
\(740\) 24.4730 + 6.16571i 0.899644 + 0.226656i
\(741\) 1.69787 5.59711i 0.0623727 0.205615i
\(742\) −3.77539 3.26117i −0.138599 0.119721i
\(743\) 15.8154 23.6694i 0.580210 0.868345i −0.419005 0.907984i \(-0.637621\pi\)
0.999214 + 0.0396392i \(0.0126209\pi\)
\(744\) 0.0828723 0.00186446i 0.00303825 6.83543e-5i
\(745\) −9.84075 + 6.57538i −0.360537 + 0.240903i
\(746\) 9.66900 + 12.4071i 0.354007 + 0.454258i
\(747\) −10.1780 + 1.00245i −0.372394 + 0.0366776i
\(748\) 0.970670 + 20.3251i 0.0354912 + 0.743158i
\(749\) −1.22423 4.03575i −0.0447324 0.147463i
\(750\) 6.07348 13.6763i 0.221772 0.499389i
\(751\) 12.2773 29.6400i 0.448005 1.08158i −0.525064 0.851063i \(-0.675958\pi\)
0.973068 0.230516i \(-0.0740415\pi\)
\(752\) 8.06224 + 26.8415i 0.294000 + 0.978808i
\(753\) 3.64270 + 8.79426i 0.132747 + 0.320481i
\(754\) 16.7838 + 0.423494i 0.611231 + 0.0154227i
\(755\) 13.2433 24.7765i 0.481973 0.901708i
\(756\) 4.01580 + 2.41444i 0.146053 + 0.0878123i
\(757\) −10.5136 + 12.8108i −0.382122 + 0.465617i −0.928181 0.372130i \(-0.878628\pi\)
0.546059 + 0.837747i \(0.316128\pi\)
\(758\) −8.10786 29.3761i −0.294491 1.06699i
\(759\) −18.3122 3.64252i −0.664690 0.132215i
\(760\) 12.8032 1.55249i 0.464421 0.0563148i
\(761\) 1.42008 + 7.13925i 0.0514780 + 0.258798i 0.997951 0.0639862i \(-0.0203814\pi\)
−0.946473 + 0.322784i \(0.895381\pi\)
\(762\) −1.93650 0.641199i −0.0701518 0.0232282i
\(763\) 7.14345 3.81825i 0.258610 0.138230i
\(764\) −7.55046 + 15.9078i −0.273166 + 0.575525i
\(765\) −0.475812 + 4.83100i −0.0172030 + 0.174665i
\(766\) −4.64424 + 20.6159i −0.167803 + 0.744881i
\(767\) 12.9132 0.466270
\(768\) 15.2854 + 4.72817i 0.551566 + 0.170613i
\(769\) 53.6049 1.93304 0.966520 0.256590i \(-0.0825990\pi\)
0.966520 + 0.256590i \(0.0825990\pi\)
\(770\) −2.40949 + 10.6958i −0.0868322 + 0.385449i
\(771\) 1.31770 13.3788i 0.0474558 0.481827i
\(772\) −11.2632 + 23.7300i −0.405371 + 0.854063i
\(773\) 15.0841 8.06264i 0.542539 0.289993i −0.177274 0.984162i