Properties

Label 441.2.y.a.121.38
Level $441$
Weight $2$
Character 441.121
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.y (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 121.38
Character \(\chi\) \(=\) 441.121
Dual form 441.2.y.a.277.38

$q$-expansion

\(f(q)\) \(=\) \(q+(0.919527 - 0.442821i) q^{2} +(1.70959 - 0.278009i) q^{3} +(-0.597540 + 0.749292i) q^{4} +(3.10620 - 0.958137i) q^{5} +(1.44891 - 1.01268i) q^{6} +(-2.22035 - 1.43877i) q^{7} +(-0.671861 + 2.94362i) q^{8} +(2.84542 - 0.950565i) q^{9} +O(q^{10})\) \(q+(0.919527 - 0.442821i) q^{2} +(1.70959 - 0.278009i) q^{3} +(-0.597540 + 0.749292i) q^{4} +(3.10620 - 0.958137i) q^{5} +(1.44891 - 1.01268i) q^{6} +(-2.22035 - 1.43877i) q^{7} +(-0.671861 + 2.94362i) q^{8} +(2.84542 - 0.950565i) q^{9} +(2.43196 - 2.25652i) q^{10} +(0.141022 - 1.88181i) q^{11} +(-0.813241 + 1.44711i) q^{12} +(0.173309 - 2.31265i) q^{13} +(-2.67879 - 0.339768i) q^{14} +(5.04398 - 2.50158i) q^{15} +(0.259181 + 1.13555i) q^{16} +(-1.50942 + 3.84594i) q^{17} +(2.19551 - 2.13408i) q^{18} +(-1.82246 + 3.15659i) q^{19} +(-1.13816 + 2.89998i) q^{20} +(-4.19589 - 1.84243i) q^{21} +(-0.703631 - 1.79282i) q^{22} +(5.97698 + 0.900884i) q^{23} +(-0.330258 + 5.21917i) q^{24} +(4.59928 - 3.13574i) q^{25} +(-0.864727 - 2.20329i) q^{26} +(4.60025 - 2.41613i) q^{27} +(2.40480 - 0.803968i) q^{28} +(-2.29539 + 5.84856i) q^{29} +(3.53032 - 4.53385i) q^{30} -9.28793 q^{31} +(-3.02386 - 3.79180i) q^{32} +(-0.282070 - 3.25634i) q^{33} +(0.315109 + 4.20484i) q^{34} +(-8.27539 - 2.34170i) q^{35} +(-0.988003 + 2.70005i) q^{36} +(0.627734 - 0.0946157i) q^{37} +(-0.277995 + 3.70959i) q^{38} +(-0.346649 - 4.00187i) q^{39} +(0.733450 + 9.78721i) q^{40} +(-3.50284 - 3.25016i) q^{41} +(-4.67410 + 0.163863i) q^{42} +(2.01305 - 1.86784i) q^{43} +(1.32576 + 1.23012i) q^{44} +(7.92769 - 5.67895i) q^{45} +(5.89492 - 1.81834i) q^{46} +(-2.77756 + 1.33760i) q^{47} +(0.758786 + 1.86927i) q^{48} +(2.85990 + 6.38913i) q^{49} +(2.84060 - 4.92006i) q^{50} +(-1.51129 + 6.99462i) q^{51} +(1.62929 + 1.51176i) q^{52} +(-7.33146 - 1.10504i) q^{53} +(3.16014 - 4.25879i) q^{54} +(-1.36499 - 5.98040i) q^{55} +(5.72694 - 5.56920i) q^{56} +(-2.23810 + 5.90314i) q^{57} +(0.479190 + 6.39435i) q^{58} +(-2.32615 - 10.1915i) q^{59} +(-1.13957 + 5.27420i) q^{60} +(7.55778 + 9.47716i) q^{61} +(-8.54050 + 4.11289i) q^{62} +(-7.68547 - 1.98331i) q^{63} +(-6.55841 - 3.15836i) q^{64} +(-1.67750 - 7.34961i) q^{65} +(-1.70134 - 2.86938i) q^{66} +0.379986 q^{67} +(-1.97979 - 3.42910i) q^{68} +(10.4687 - 0.121507i) q^{69} +(-8.64640 + 1.51126i) q^{70} +(-1.84319 + 2.31129i) q^{71} +(0.886370 + 9.01448i) q^{72} +(0.302632 + 4.03835i) q^{73} +(0.535321 - 0.364976i) q^{74} +(6.99114 - 6.63948i) q^{75} +(-1.27621 - 3.25174i) q^{76} +(-3.02060 + 3.97538i) q^{77} +(-2.09087 - 3.52633i) q^{78} -10.2531 q^{79} +(1.89308 + 3.27891i) q^{80} +(7.19285 - 5.40952i) q^{81} +(-4.66019 - 1.43748i) q^{82} +(-1.29385 - 17.2653i) q^{83} +(3.88773 - 2.04302i) q^{84} +(-1.00363 + 13.3925i) q^{85} +(1.02394 - 2.60895i) q^{86} +(-2.29823 + 10.6368i) q^{87} +(5.44458 + 1.67943i) q^{88} +(4.50941 - 3.07447i) q^{89} +(4.77497 - 8.73250i) q^{90} +(-3.71217 + 4.88554i) q^{91} +(-4.24651 + 3.94018i) q^{92} +(-15.8786 + 2.58213i) q^{93} +(-1.96172 + 2.45993i) q^{94} +(-2.63648 + 11.5512i) q^{95} +(-6.22372 - 5.64178i) q^{96} +(-2.02794 - 3.51250i) q^{97} +(5.45900 + 4.60855i) q^{98} +(-1.38752 - 5.48859i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9} + O(q^{10}) \) \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9} - 22 q^{10} - 8 q^{11} - 64 q^{12} - 4 q^{13} - 26 q^{14} - 4 q^{15} - 97 q^{16} - 37 q^{17} - q^{18} - 14 q^{19} - 11 q^{20} - 33 q^{21} - q^{22} + 31 q^{23} - 20 q^{24} + 38 q^{25} - 44 q^{26} - 49 q^{27} - 22 q^{28} + 73 q^{29} - 12 q^{30} - 20 q^{31} - q^{32} - 43 q^{33} - 7 q^{34} - 32 q^{35} + 20 q^{36} - 39 q^{37} - 40 q^{38} + q^{39} - q^{40} - 17 q^{41} + 82 q^{42} - q^{43} - 31 q^{44} - 177 q^{45} + 56 q^{46} + 5 q^{47} - 23 q^{48} - q^{49} - 21 q^{50} - 18 q^{51} - 48 q^{52} + 50 q^{53} - 15 q^{54} + 20 q^{55} + 127 q^{56} + 33 q^{57} - 82 q^{58} + 53 q^{59} + 43 q^{60} + 42 q^{61} - 30 q^{62} + 57 q^{63} - 88 q^{64} - 11 q^{65} - 90 q^{66} - 26 q^{67} + 145 q^{68} + 64 q^{69} - 46 q^{70} - 19 q^{71} - 46 q^{72} - 40 q^{73} + 18 q^{74} - 114 q^{75} + 43 q^{76} + 7 q^{77} - 129 q^{78} - 26 q^{79} + 163 q^{80} + 85 q^{81} - 28 q^{82} - 221 q^{83} - 113 q^{84} - 10 q^{85} - 18 q^{86} + 37 q^{87} - 4 q^{88} - 104 q^{89} - 60 q^{90} - 49 q^{91} + 119 q^{92} - 149 q^{93} - 13 q^{94} + 37 q^{95} + 186 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{19}{21}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.919527 0.442821i 0.650204 0.313122i −0.0795508 0.996831i \(-0.525349\pi\)
0.729755 + 0.683709i \(0.239634\pi\)
\(3\) 1.70959 0.278009i 0.987034 0.160509i
\(4\) −0.597540 + 0.749292i −0.298770 + 0.374646i
\(5\) 3.10620 0.958137i 1.38914 0.428492i 0.492135 0.870519i \(-0.336217\pi\)
0.897002 + 0.442027i \(0.145740\pi\)
\(6\) 1.44891 1.01268i 0.591515 0.413425i
\(7\) −2.22035 1.43877i −0.839213 0.543803i
\(8\) −0.671861 + 2.94362i −0.237539 + 1.04073i
\(9\) 2.84542 0.950565i 0.948474 0.316855i
\(10\) 2.43196 2.25652i 0.769052 0.713576i
\(11\) 0.141022 1.88181i 0.0425198 0.567387i −0.934739 0.355336i \(-0.884367\pi\)
0.977259 0.212051i \(-0.0680144\pi\)
\(12\) −0.813241 + 1.44711i −0.234762 + 0.417743i
\(13\) 0.173309 2.31265i 0.0480673 0.641413i −0.920192 0.391467i \(-0.871968\pi\)
0.968260 0.249947i \(-0.0804131\pi\)
\(14\) −2.67879 0.339768i −0.715936 0.0908067i
\(15\) 5.04398 2.50158i 1.30235 0.645905i
\(16\) 0.259181 + 1.13555i 0.0647952 + 0.283886i
\(17\) −1.50942 + 3.84594i −0.366088 + 0.932776i 0.622566 + 0.782567i \(0.286090\pi\)
−0.988654 + 0.150209i \(0.952005\pi\)
\(18\) 2.19551 2.13408i 0.517487 0.503008i
\(19\) −1.82246 + 3.15659i −0.418100 + 0.724171i −0.995748 0.0921149i \(-0.970637\pi\)
0.577648 + 0.816286i \(0.303971\pi\)
\(20\) −1.13816 + 2.89998i −0.254500 + 0.648455i
\(21\) −4.19589 1.84243i −0.915617 0.402051i
\(22\) −0.703631 1.79282i −0.150015 0.382231i
\(23\) 5.97698 + 0.900884i 1.24629 + 0.187847i 0.738867 0.673852i \(-0.235361\pi\)
0.507419 + 0.861699i \(0.330599\pi\)
\(24\) −0.330258 + 5.21917i −0.0674136 + 1.06536i
\(25\) 4.59928 3.13574i 0.919857 0.627148i
\(26\) −0.864727 2.20329i −0.169587 0.432100i
\(27\) 4.60025 2.41613i 0.885319 0.464985i
\(28\) 2.40480 0.803968i 0.454465 0.151936i
\(29\) −2.29539 + 5.84856i −0.426243 + 1.08605i 0.542954 + 0.839763i \(0.317306\pi\)
−0.969197 + 0.246287i \(0.920789\pi\)
\(30\) 3.53032 4.53385i 0.644546 0.827763i
\(31\) −9.28793 −1.66816 −0.834081 0.551642i \(-0.814001\pi\)
−0.834081 + 0.551642i \(0.814001\pi\)
\(32\) −3.02386 3.79180i −0.534548 0.670302i
\(33\) −0.282070 3.25634i −0.0491020 0.566855i
\(34\) 0.315109 + 4.20484i 0.0540408 + 0.721125i
\(35\) −8.27539 2.34170i −1.39880 0.395820i
\(36\) −0.988003 + 2.70005i −0.164667 + 0.450009i
\(37\) 0.627734 0.0946157i 0.103199 0.0155547i −0.0972398 0.995261i \(-0.531001\pi\)
0.200439 + 0.979706i \(0.435763\pi\)
\(38\) −0.277995 + 3.70959i −0.0450968 + 0.601775i
\(39\) −0.346649 4.00187i −0.0555083 0.640812i
\(40\) 0.733450 + 9.78721i 0.115969 + 1.54749i
\(41\) −3.50284 3.25016i −0.547052 0.507590i 0.357523 0.933904i \(-0.383621\pi\)
−0.904575 + 0.426314i \(0.859812\pi\)
\(42\) −4.67410 + 0.163863i −0.721229 + 0.0252845i
\(43\) 2.01305 1.86784i 0.306987 0.284843i −0.511601 0.859223i \(-0.670947\pi\)
0.818589 + 0.574380i \(0.194757\pi\)
\(44\) 1.32576 + 1.23012i 0.199866 + 0.185448i
\(45\) 7.92769 5.67895i 1.18179 0.846568i
\(46\) 5.89492 1.81834i 0.869159 0.268100i
\(47\) −2.77756 + 1.33760i −0.405149 + 0.195110i −0.625349 0.780345i \(-0.715043\pi\)
0.220200 + 0.975455i \(0.429329\pi\)
\(48\) 0.758786 + 1.86927i 0.109521 + 0.269805i
\(49\) 2.85990 + 6.38913i 0.408558 + 0.912733i
\(50\) 2.84060 4.92006i 0.401721 0.695801i
\(51\) −1.51129 + 6.99462i −0.211623 + 0.979443i
\(52\) 1.62929 + 1.51176i 0.225942 + 0.209643i
\(53\) −7.33146 1.10504i −1.00705 0.151789i −0.375255 0.926921i \(-0.622445\pi\)
−0.631799 + 0.775132i \(0.717683\pi\)
\(54\) 3.16014 4.25879i 0.430041 0.579547i
\(55\) −1.36499 5.98040i −0.184055 0.806398i
\(56\) 5.72694 5.56920i 0.765295 0.744216i
\(57\) −2.23810 + 5.90314i −0.296444 + 0.781890i
\(58\) 0.479190 + 6.39435i 0.0629208 + 0.839620i
\(59\) −2.32615 10.1915i −0.302839 1.32682i −0.865821 0.500354i \(-0.833203\pi\)
0.562982 0.826469i \(-0.309654\pi\)
\(60\) −1.13957 + 5.27420i −0.147117 + 0.680897i
\(61\) 7.55778 + 9.47716i 0.967675 + 1.21343i 0.976950 + 0.213468i \(0.0684761\pi\)
−0.00927542 + 0.999957i \(0.502952\pi\)
\(62\) −8.54050 + 4.11289i −1.08465 + 0.522338i
\(63\) −7.68547 1.98331i −0.968278 0.249874i
\(64\) −6.55841 3.15836i −0.819801 0.394796i
\(65\) −1.67750 7.34961i −0.208068 0.911607i
\(66\) −1.70134 2.86938i −0.209421 0.353197i
\(67\) 0.379986 0.0464227 0.0232114 0.999731i \(-0.492611\pi\)
0.0232114 + 0.999731i \(0.492611\pi\)
\(68\) −1.97979 3.42910i −0.240085 0.415839i
\(69\) 10.4687 0.121507i 1.26028 0.0146278i
\(70\) −8.64640 + 1.51126i −1.03344 + 0.180630i
\(71\) −1.84319 + 2.31129i −0.218746 + 0.274299i −0.879081 0.476672i \(-0.841843\pi\)
0.660335 + 0.750971i \(0.270414\pi\)
\(72\) 0.886370 + 9.01448i 0.104460 + 1.06237i
\(73\) 0.302632 + 4.03835i 0.0354204 + 0.472653i 0.986506 + 0.163725i \(0.0523510\pi\)
−0.951086 + 0.308928i \(0.900030\pi\)
\(74\) 0.535321 0.364976i 0.0622298 0.0424276i
\(75\) 6.99114 6.63948i 0.807268 0.766661i
\(76\) −1.27621 3.25174i −0.146392 0.373000i
\(77\) −3.02060 + 3.97538i −0.344230 + 0.453036i
\(78\) −2.09087 3.52633i −0.236744 0.399278i
\(79\) −10.2531 −1.15356 −0.576782 0.816898i \(-0.695692\pi\)
−0.576782 + 0.816898i \(0.695692\pi\)
\(80\) 1.89308 + 3.27891i 0.211652 + 0.366593i
\(81\) 7.19285 5.40952i 0.799206 0.601057i
\(82\) −4.66019 1.43748i −0.514632 0.158743i
\(83\) −1.29385 17.2653i −0.142019 1.89511i −0.381743 0.924269i \(-0.624676\pi\)
0.239724 0.970841i \(-0.422943\pi\)
\(84\) 3.88773 2.04302i 0.424186 0.222911i
\(85\) −1.00363 + 13.3925i −0.108859 + 1.45262i
\(86\) 1.02394 2.60895i 0.110414 0.281330i
\(87\) −2.29823 + 10.6368i −0.246396 + 1.14038i
\(88\) 5.44458 + 1.67943i 0.580394 + 0.179028i
\(89\) 4.50941 3.07447i 0.477997 0.325893i −0.300240 0.953864i \(-0.597067\pi\)
0.778237 + 0.627971i \(0.216114\pi\)
\(90\) 4.77497 8.73250i 0.503326 0.920486i
\(91\) −3.71217 + 4.88554i −0.389141 + 0.512143i
\(92\) −4.24651 + 3.94018i −0.442729 + 0.410793i
\(93\) −15.8786 + 2.58213i −1.64653 + 0.267754i
\(94\) −1.96172 + 2.45993i −0.202336 + 0.253722i
\(95\) −2.63648 + 11.5512i −0.270497 + 1.18513i
\(96\) −6.22372 5.64178i −0.635206 0.575811i
\(97\) −2.02794 3.51250i −0.205906 0.356640i 0.744515 0.667606i \(-0.232681\pi\)
−0.950421 + 0.310966i \(0.899348\pi\)
\(98\) 5.45900 + 4.60855i 0.551442 + 0.465534i
\(99\) −1.38752 5.48859i −0.139451 0.551624i
\(100\) −0.398674 + 5.31993i −0.0398674 + 0.531993i
\(101\) 10.1486 + 9.41656i 1.00983 + 0.936983i 0.998017 0.0629471i \(-0.0200499\pi\)
0.0118108 + 0.999930i \(0.496240\pi\)
\(102\) 1.70769 + 7.10097i 0.169087 + 0.703101i
\(103\) 0.627086 0.193430i 0.0617886 0.0190593i −0.263707 0.964603i \(-0.584945\pi\)
0.325495 + 0.945544i \(0.394469\pi\)
\(104\) 6.69111 + 2.06393i 0.656117 + 0.202385i
\(105\) −14.7986 1.70273i −1.44419 0.166169i
\(106\) −7.23081 + 2.23041i −0.702319 + 0.216637i
\(107\) −7.21322 + 4.91789i −0.697329 + 0.475431i −0.859371 0.511353i \(-0.829144\pi\)
0.162042 + 0.986784i \(0.448192\pi\)
\(108\) −0.938446 + 4.89066i −0.0903020 + 0.470604i
\(109\) 8.44574 + 5.75821i 0.808955 + 0.551536i 0.895682 0.444696i \(-0.146688\pi\)
−0.0867266 + 0.996232i \(0.527641\pi\)
\(110\) −3.90339 4.89470i −0.372174 0.466691i
\(111\) 1.04687 0.336270i 0.0993642 0.0319174i
\(112\) 1.05831 2.89421i 0.100001 0.273477i
\(113\) −9.56617 + 6.52211i −0.899910 + 0.613548i −0.922416 0.386198i \(-0.873788\pi\)
0.0225057 + 0.999747i \(0.492836\pi\)
\(114\) 0.556040 + 6.41918i 0.0520780 + 0.601211i
\(115\) 19.4289 2.92843i 1.81175 0.273078i
\(116\) −3.01069 5.21466i −0.279535 0.484169i
\(117\) −1.70519 6.74520i −0.157644 0.623594i
\(118\) −6.65197 8.34131i −0.612364 0.767880i
\(119\) 8.88484 6.36762i 0.814472 0.583719i
\(120\) 3.97483 + 16.5282i 0.362851 + 1.50882i
\(121\) 7.35582 + 1.10871i 0.668711 + 0.100792i
\(122\) 11.1463 + 5.36776i 1.00914 + 0.485974i
\(123\) −6.89201 4.58263i −0.621431 0.413202i
\(124\) 5.54991 6.95937i 0.498397 0.624970i
\(125\) 1.14821 1.43980i 0.102699 0.128780i
\(126\) −7.94525 + 1.57958i −0.707819 + 0.140720i
\(127\) 4.80103 + 6.02031i 0.426023 + 0.534216i 0.947800 0.318866i \(-0.103302\pi\)
−0.521777 + 0.853082i \(0.674731\pi\)
\(128\) 2.27056 0.200691
\(129\) 2.92222 3.75289i 0.257288 0.330424i
\(130\) −4.79707 6.01533i −0.420731 0.527580i
\(131\) 0.273706 0.253962i 0.0239138 0.0221888i −0.668125 0.744049i \(-0.732903\pi\)
0.692039 + 0.721860i \(0.256713\pi\)
\(132\) 2.60849 + 1.73444i 0.227040 + 0.150964i
\(133\) 8.58809 4.38664i 0.744681 0.380370i
\(134\) 0.349408 0.168266i 0.0301842 0.0145360i
\(135\) 11.9743 11.9127i 1.03059 1.02528i
\(136\) −10.3068 7.02708i −0.883804 0.602567i
\(137\) 18.0285 + 5.56107i 1.54028 + 0.475114i 0.944633 0.328130i \(-0.106418\pi\)
0.595650 + 0.803244i \(0.296895\pi\)
\(138\) 9.57241 4.74747i 0.814857 0.404131i
\(139\) −3.52253 3.26843i −0.298777 0.277225i 0.516510 0.856281i \(-0.327231\pi\)
−0.815288 + 0.579056i \(0.803421\pi\)
\(140\) 6.69950 4.80142i 0.566211 0.405794i
\(141\) −4.37664 + 3.05895i −0.368579 + 0.257610i
\(142\) −0.671377 + 2.94149i −0.0563407 + 0.246845i
\(143\) −4.32752 0.652269i −0.361886 0.0545455i
\(144\) 1.81689 + 2.98474i 0.151407 + 0.248728i
\(145\) −1.52623 + 20.3661i −0.126746 + 1.69131i
\(146\) 2.06654 + 3.57936i 0.171028 + 0.296230i
\(147\) 6.66551 + 10.1277i 0.549762 + 0.835322i
\(148\) −0.304202 + 0.526893i −0.0250052 + 0.0433103i
\(149\) −8.14945 5.55620i −0.667629 0.455182i 0.181483 0.983394i \(-0.441910\pi\)
−0.849112 + 0.528212i \(0.822863\pi\)
\(150\) 3.48844 9.20101i 0.284830 0.751259i
\(151\) 0.0244190 + 0.0622186i 0.00198719 + 0.00506327i 0.931864 0.362808i \(-0.118182\pi\)
−0.929877 + 0.367871i \(0.880087\pi\)
\(152\) −8.06735 7.48540i −0.654348 0.607146i
\(153\) −0.639121 + 12.3781i −0.0516698 + 1.00071i
\(154\) −1.01715 + 4.99305i −0.0819640 + 0.402352i
\(155\) −28.8502 + 8.89911i −2.31730 + 0.714794i
\(156\) 3.20571 + 2.13154i 0.256662 + 0.170660i
\(157\) −4.51725 19.7914i −0.360516 1.57952i −0.751888 0.659291i \(-0.770856\pi\)
0.391372 0.920233i \(-0.372001\pi\)
\(158\) −9.42801 + 4.54029i −0.750052 + 0.361206i
\(159\) −12.8410 + 0.149043i −1.01836 + 0.0118199i
\(160\) −13.0258 8.88083i −1.02978 0.702091i
\(161\) −11.9748 10.5998i −0.943748 0.835378i
\(162\) 4.21857 8.15934i 0.331443 0.641058i
\(163\) 19.1119 + 5.89525i 1.49696 + 0.461752i 0.931722 0.363173i \(-0.118307\pi\)
0.565242 + 0.824925i \(0.308783\pi\)
\(164\) 4.52840 0.682547i 0.353609 0.0532980i
\(165\) −3.99618 9.84458i −0.311102 0.766400i
\(166\) −8.83515 15.3029i −0.685741 1.18774i
\(167\) −8.63491 + 1.30150i −0.668189 + 0.100713i −0.474372 0.880324i \(-0.657325\pi\)
−0.193817 + 0.981038i \(0.562087\pi\)
\(168\) 8.24246 11.1132i 0.635919 0.857403i
\(169\) 7.53649 + 1.13594i 0.579730 + 0.0873803i
\(170\) 5.00761 + 12.7592i 0.384066 + 0.978585i
\(171\) −2.18512 + 10.7142i −0.167100 + 0.819335i
\(172\) 0.196677 + 2.62447i 0.0149965 + 0.200114i
\(173\) 0.864548 1.08411i 0.0657303 0.0824232i −0.747879 0.663835i \(-0.768928\pi\)
0.813610 + 0.581411i \(0.197499\pi\)
\(174\) 2.59691 + 10.7985i 0.196871 + 0.818634i
\(175\) −14.7236 + 0.345140i −1.11300 + 0.0260901i
\(176\) 2.17343 0.327592i 0.163829 0.0246932i
\(177\) −6.81010 16.7767i −0.511879 1.26101i
\(178\) 2.78509 4.82392i 0.208751 0.361568i
\(179\) −2.30977 + 5.88521i −0.172641 + 0.439881i −0.990838 0.135056i \(-0.956878\pi\)
0.818197 + 0.574938i \(0.194974\pi\)
\(180\) −0.481921 + 9.33355i −0.0359202 + 0.695682i
\(181\) −21.8020 10.4993i −1.62053 0.780404i −0.620534 0.784180i \(-0.713084\pi\)
−0.999993 + 0.00377543i \(0.998798\pi\)
\(182\) −1.25002 + 6.13621i −0.0926577 + 0.454846i
\(183\) 15.5555 + 14.1010i 1.14989 + 1.04237i
\(184\) −6.66756 + 16.9887i −0.491539 + 1.25242i
\(185\) 1.85922 0.895351i 0.136692 0.0658275i
\(186\) −13.4574 + 9.40571i −0.986742 + 0.689660i
\(187\) 7.02446 + 3.38280i 0.513679 + 0.247375i
\(188\) 0.657450 2.88048i 0.0479495 0.210080i
\(189\) −13.6904 1.25403i −0.995831 0.0912169i
\(190\) 2.69079 + 11.7891i 0.195210 + 0.855271i
\(191\) 3.01248 13.1985i 0.217975 0.955013i −0.740996 0.671510i \(-0.765646\pi\)
0.958971 0.283503i \(-0.0914966\pi\)
\(192\) −12.0903 3.57622i −0.872540 0.258092i
\(193\) 4.38727 19.2219i 0.315802 1.38362i −0.529036 0.848599i \(-0.677447\pi\)
0.844839 0.535021i \(-0.179696\pi\)
\(194\) −3.42015 2.33182i −0.245553 0.167415i
\(195\) −4.91110 12.0985i −0.351691 0.866391i
\(196\) −6.49623 1.67486i −0.464016 0.119633i
\(197\) 1.00341 0.0714899 0.0357450 0.999361i \(-0.488620\pi\)
0.0357450 + 0.999361i \(0.488620\pi\)
\(198\) −3.70632 4.43249i −0.263397 0.315003i
\(199\) 25.8018 7.95880i 1.82904 0.564185i 0.829054 0.559169i \(-0.188880\pi\)
0.999987 0.00501588i \(-0.00159661\pi\)
\(200\) 6.14033 + 15.6453i 0.434187 + 1.10629i
\(201\) 0.649622 0.105640i 0.0458208 0.00745125i
\(202\) 13.5018 + 4.16475i 0.949983 + 0.293031i
\(203\) 13.5113 9.68331i 0.948305 0.679635i
\(204\) −4.33795 5.31196i −0.303718 0.371912i
\(205\) −13.9946 6.73946i −0.977428 0.470704i
\(206\) 0.490968 0.455551i 0.0342073 0.0317398i
\(207\) 17.8634 3.11811i 1.24159 0.216724i
\(208\) 2.67104 0.402594i 0.185203 0.0279149i
\(209\) 5.68309 + 3.87467i 0.393108 + 0.268016i
\(210\) −14.3617 + 4.98742i −0.991051 + 0.344164i
\(211\) 8.31165 5.66678i 0.572197 0.390118i −0.242372 0.970183i \(-0.577926\pi\)
0.814570 + 0.580066i \(0.196973\pi\)
\(212\) 5.20884 4.83310i 0.357745 0.331939i
\(213\) −2.50855 + 4.46379i −0.171883 + 0.305854i
\(214\) −4.45501 + 7.71630i −0.304538 + 0.527475i
\(215\) 4.46330 7.73067i 0.304395 0.527227i
\(216\) 4.02144 + 15.1647i 0.273624 + 1.03183i
\(217\) 20.6225 + 13.3632i 1.39994 + 0.907151i
\(218\) 10.3159 + 1.55488i 0.698683 + 0.105310i
\(219\) 1.64007 + 6.81980i 0.110826 + 0.460839i
\(220\) 5.29670 + 2.55076i 0.357104 + 0.171972i
\(221\) 8.63270 + 4.15729i 0.580698 + 0.279650i
\(222\) 0.813715 0.772784i 0.0546130 0.0518659i
\(223\) 26.2706 + 3.95965i 1.75921 + 0.265158i 0.947695 0.319177i \(-0.103406\pi\)
0.811513 + 0.584335i \(0.198645\pi\)
\(224\) 1.25851 + 12.7697i 0.0840877 + 0.853214i
\(225\) 10.1062 13.2944i 0.673745 0.886295i
\(226\) −5.90823 + 10.2334i −0.393010 + 0.680713i
\(227\) 4.06945 7.04849i 0.270099 0.467825i −0.698788 0.715329i \(-0.746277\pi\)
0.968887 + 0.247504i \(0.0796103\pi\)
\(228\) −3.08582 5.20436i −0.204363 0.344667i
\(229\) 13.6179 12.6356i 0.899898 0.834984i −0.0870196 0.996207i \(-0.527734\pi\)
0.986918 + 0.161223i \(0.0515438\pi\)
\(230\) 16.5686 11.2963i 1.09250 0.744855i
\(231\) −4.05881 + 7.63604i −0.267050 + 0.502414i
\(232\) −15.6737 10.6862i −1.02903 0.701581i
\(233\) 21.7246 3.27445i 1.42322 0.214517i 0.608127 0.793840i \(-0.291921\pi\)
0.815098 + 0.579324i \(0.196683\pi\)
\(234\) −4.55488 5.44730i −0.297762 0.356101i
\(235\) −7.34607 + 6.81616i −0.479205 + 0.444637i
\(236\) 9.02638 + 4.34688i 0.587568 + 0.282958i
\(237\) −17.5287 + 2.85046i −1.13861 + 0.185157i
\(238\) 5.35013 9.78959i 0.346798 0.634565i
\(239\) −20.8609 6.43473i −1.34938 0.416228i −0.465957 0.884807i \(-0.654290\pi\)
−0.883421 + 0.468579i \(0.844766\pi\)
\(240\) 4.14796 + 5.07930i 0.267750 + 0.327868i
\(241\) 6.12029 + 15.5942i 0.394242 + 1.00451i 0.980871 + 0.194657i \(0.0623594\pi\)
−0.586629 + 0.809856i \(0.699545\pi\)
\(242\) 7.25483 2.23782i 0.466358 0.143853i
\(243\) 10.7930 11.2478i 0.692369 0.721544i
\(244\) −11.6172 −0.743717
\(245\) 15.0051 + 17.1058i 0.958641 + 1.09285i
\(246\) −8.36667 1.16193i −0.533439 0.0740819i
\(247\) 6.98423 + 4.76177i 0.444396 + 0.302984i
\(248\) 6.24020 27.3401i 0.396253 1.73610i
\(249\) −7.01186 29.1569i −0.444359 1.84774i
\(250\) 0.418231 1.83239i 0.0264512 0.115890i
\(251\) −0.500399 2.19239i −0.0315849 0.138382i 0.956677 0.291151i \(-0.0940382\pi\)
−0.988262 + 0.152769i \(0.951181\pi\)
\(252\) 6.07846 4.57355i 0.382907 0.288107i
\(253\) 2.53818 11.1205i 0.159574 0.699139i
\(254\) 7.08060 + 3.40984i 0.444276 + 0.213952i
\(255\) 2.00744 + 23.1747i 0.125711 + 1.45126i
\(256\) 15.2047 7.32218i 0.950292 0.457636i
\(257\) 5.79612 14.7683i 0.361552 0.921219i −0.628152 0.778090i \(-0.716189\pi\)
0.989704 0.143129i \(-0.0457162\pi\)
\(258\) 1.02521 4.74491i 0.0638265 0.295405i
\(259\) −1.52992 0.693083i −0.0950646 0.0430661i
\(260\) 6.50938 + 3.13475i 0.403694 + 0.194409i
\(261\) −0.971918 + 18.8235i −0.0601602 + 1.16515i
\(262\) 0.139220 0.354728i 0.00860106 0.0219152i
\(263\) −8.15177 + 14.1193i −0.502660 + 0.870632i 0.497336 + 0.867558i \(0.334312\pi\)
−0.999995 + 0.00307391i \(0.999022\pi\)
\(264\) 9.77491 + 1.35750i 0.601604 + 0.0835484i
\(265\) −23.8318 + 3.59207i −1.46398 + 0.220659i
\(266\) 5.95448 7.83662i 0.365093 0.480494i
\(267\) 6.85454 6.50975i 0.419491 0.398390i
\(268\) −0.227057 + 0.284721i −0.0138697 + 0.0173921i
\(269\) −1.42262 18.9836i −0.0867387 1.15745i −0.855462 0.517866i \(-0.826727\pi\)
0.768723 0.639582i \(-0.220892\pi\)
\(270\) 5.73554 16.2565i 0.349054 0.989340i
\(271\) −6.32117 16.1061i −0.383984 0.978374i −0.983965 0.178360i \(-0.942921\pi\)
0.599982 0.800014i \(-0.295175\pi\)
\(272\) −4.75845 0.717221i −0.288523 0.0434879i
\(273\) −4.98808 + 9.38430i −0.301892 + 0.567964i
\(274\) 19.0403 2.86986i 1.15027 0.173375i
\(275\) −5.25226 9.09719i −0.316723 0.548581i
\(276\) −6.16440 + 7.91668i −0.371053 + 0.476528i
\(277\) −4.63862 + 0.699159i −0.278708 + 0.0420084i −0.286909 0.957958i \(-0.592628\pi\)
0.00820102 + 0.999966i \(0.497390\pi\)
\(278\) −4.68639 1.44556i −0.281071 0.0866990i
\(279\) −26.4281 + 8.82878i −1.58221 + 0.528565i
\(280\) 12.4530 22.7863i 0.744208 1.36174i
\(281\) −4.02096 2.74144i −0.239870 0.163541i 0.437418 0.899258i \(-0.355893\pi\)
−0.677289 + 0.735717i \(0.736845\pi\)
\(282\) −2.66987 + 4.75085i −0.158989 + 0.282909i
\(283\) −8.70428 + 4.19176i −0.517416 + 0.249174i −0.674320 0.738439i \(-0.735563\pi\)
0.156904 + 0.987614i \(0.449849\pi\)
\(284\) −0.630448 2.76217i −0.0374102 0.163905i
\(285\) −1.29598 + 20.4808i −0.0767672 + 1.21318i
\(286\) −4.26811 + 1.31654i −0.252379 + 0.0778486i
\(287\) 3.10131 + 12.2563i 0.183064 + 0.723464i
\(288\) −12.2085 7.91489i −0.719393 0.466390i
\(289\) −0.0509949 0.0473164i −0.00299970 0.00278332i
\(290\) 7.61513 + 19.4030i 0.447176 + 1.13939i
\(291\) −4.44346 5.44116i −0.260480 0.318966i
\(292\) −3.20673 2.18631i −0.187660 0.127944i
\(293\) −6.07611 + 10.5241i −0.354970 + 0.614826i −0.987113 0.160026i \(-0.948842\pi\)
0.632143 + 0.774852i \(0.282176\pi\)
\(294\) 10.6139 + 6.36110i 0.619014 + 0.370987i
\(295\) −16.9904 29.4282i −0.989217 1.71337i
\(296\) −0.143238 + 1.91138i −0.00832554 + 0.111097i
\(297\) −3.89797 8.99752i −0.226183 0.522089i
\(298\) −9.95404 1.50033i −0.576622 0.0869118i
\(299\) 3.11929 13.6665i 0.180393 0.790355i
\(300\) 0.797419 + 9.20576i 0.0460390 + 0.531495i
\(301\) −7.15706 + 1.25094i −0.412526 + 0.0721032i
\(302\) 0.0500056 + 0.0463984i 0.00287750 + 0.00266993i
\(303\) 19.9679 + 13.2771i 1.14713 + 0.762749i
\(304\) −4.05680 1.25136i −0.232673 0.0717702i
\(305\) 32.5564 + 22.1966i 1.86418 + 1.27097i
\(306\) 4.89360 + 11.6650i 0.279748 + 0.666845i
\(307\) −18.1037 + 8.71828i −1.03323 + 0.497578i −0.872086 0.489352i \(-0.837233\pi\)
−0.161146 + 0.986931i \(0.551519\pi\)
\(308\) −1.17379 4.63876i −0.0668826 0.264318i
\(309\) 1.01829 0.505023i 0.0579283 0.0287298i
\(310\) −22.5878 + 20.9584i −1.28290 + 1.19036i
\(311\) 17.9378 + 22.4933i 1.01716 + 1.27548i 0.960852 + 0.277062i \(0.0893607\pi\)
0.0563057 + 0.998414i \(0.482068\pi\)
\(312\) 12.0129 + 1.66830i 0.680095 + 0.0944489i
\(313\) 32.6530 1.84566 0.922828 0.385212i \(-0.125872\pi\)
0.922828 + 0.385212i \(0.125872\pi\)
\(314\) −12.9178 16.1984i −0.728992 0.914127i
\(315\) −25.7729 + 1.20317i −1.45214 + 0.0677908i
\(316\) 6.12664 7.68257i 0.344651 0.432178i
\(317\) −20.2231 + 25.3590i −1.13584 + 1.42430i −0.245275 + 0.969454i \(0.578878\pi\)
−0.890569 + 0.454849i \(0.849693\pi\)
\(318\) −11.7417 + 5.82333i −0.658441 + 0.326556i
\(319\) 10.6822 + 5.14426i 0.598087 + 0.288023i
\(320\) −23.3979 3.52667i −1.30798 0.197147i
\(321\) −10.9645 + 10.4129i −0.611977 + 0.581194i
\(322\) −15.7050 4.44406i −0.875203 0.247658i
\(323\) −9.38919 11.7737i −0.522428 0.655104i
\(324\) −0.244712 + 8.62195i −0.0135951 + 0.478997i
\(325\) −6.45476 11.1800i −0.358046 0.620154i
\(326\) 20.1845 3.04232i 1.11792 0.168499i
\(327\) 16.0396 + 7.49620i 0.886993 + 0.414541i
\(328\) 11.9206 8.12736i 0.658207 0.448758i
\(329\) 8.09166 + 1.02632i 0.446108 + 0.0565827i
\(330\) −8.03398 7.28277i −0.442256 0.400903i
\(331\) −19.3180 24.2240i −1.06181 1.33147i −0.940853 0.338816i \(-0.889974\pi\)
−0.120961 0.992657i \(-0.538598\pi\)
\(332\) 13.7099 + 9.34722i 0.752426 + 0.512995i
\(333\) 1.69623 0.865924i 0.0929529 0.0474523i
\(334\) −7.36370 + 5.02048i −0.402924 + 0.274709i
\(335\) 1.18032 0.364079i 0.0644875 0.0198918i
\(336\) 1.00467 5.24214i 0.0548092 0.285982i
\(337\) 10.5760 + 3.26225i 0.576109 + 0.177706i 0.569098 0.822269i \(-0.307292\pi\)
0.00701038 + 0.999975i \(0.497769\pi\)
\(338\) 7.43303 2.29279i 0.404303 0.124711i
\(339\) −14.5411 + 13.8096i −0.789762 + 0.750037i
\(340\) −9.43517 8.75456i −0.511694 0.474783i
\(341\) −1.30980 + 17.4781i −0.0709299 + 0.946493i
\(342\) 2.73519 + 10.8196i 0.147902 + 0.585057i
\(343\) 2.84248 18.3008i 0.153479 0.988152i
\(344\) 4.14571 + 7.18058i 0.223522 + 0.387151i
\(345\) 32.4014 10.4078i 1.74443 0.560339i
\(346\) 0.314909 1.37971i 0.0169296 0.0741735i
\(347\) −15.0745 + 18.9029i −0.809243 + 1.01476i 0.190212 + 0.981743i \(0.439082\pi\)
−0.999455 + 0.0330152i \(0.989489\pi\)
\(348\) −6.59677 8.07796i −0.353624 0.433024i
\(349\) 3.41116 3.16509i 0.182595 0.169423i −0.583579 0.812056i \(-0.698348\pi\)
0.766174 + 0.642633i \(0.222158\pi\)
\(350\) −13.3859 + 6.83729i −0.715508 + 0.365468i
\(351\) −4.79040 11.0575i −0.255693 0.590206i
\(352\) −7.56188 + 5.15560i −0.403049 + 0.274794i
\(353\) −11.6803 3.60288i −0.621677 0.191762i −0.0321139 0.999484i \(-0.510224\pi\)
−0.589563 + 0.807722i \(0.700700\pi\)
\(354\) −13.6911 12.4109i −0.727675 0.659634i
\(355\) −3.51079 + 8.94536i −0.186334 + 0.474770i
\(356\) −0.390884 + 5.21598i −0.0207168 + 0.276446i
\(357\) 13.4192 13.3561i 0.710220 0.706880i
\(358\) 0.482193 + 6.43442i 0.0254847 + 0.340070i
\(359\) −14.5421 4.48564i −0.767501 0.236743i −0.113808 0.993503i \(-0.536305\pi\)
−0.653693 + 0.756760i \(0.726781\pi\)
\(360\) 11.3904 + 27.1515i 0.600324 + 1.43101i
\(361\) 2.85730 + 4.94899i 0.150384 + 0.260473i
\(362\) −24.6968 −1.29803
\(363\) 12.8837 0.149538i 0.676218 0.00784871i
\(364\) −1.44252 5.70080i −0.0756087 0.298803i
\(365\) 4.80933 + 12.2540i 0.251732 + 0.641402i
\(366\) 20.5479 + 6.07792i 1.07405 + 0.317698i
\(367\) −16.4969 + 11.2474i −0.861132 + 0.587110i −0.911352 0.411628i \(-0.864960\pi\)
0.0502200 + 0.998738i \(0.484008\pi\)
\(368\) 0.526123 + 7.02062i 0.0274261 + 0.365975i
\(369\) −13.0565 5.91840i −0.679697 0.308100i
\(370\) 1.31312 1.64660i 0.0682658 0.0856026i
\(371\) 14.6885 + 13.0018i 0.762590 + 0.675022i
\(372\) 7.55333 13.4406i 0.391622 0.696864i
\(373\) −2.82611 4.89497i −0.146330 0.253452i 0.783538 0.621344i \(-0.213413\pi\)
−0.929869 + 0.367892i \(0.880080\pi\)
\(374\) 7.95715 0.411455
\(375\) 1.56269 2.78069i 0.0806968 0.143594i
\(376\) −2.07126 9.07476i −0.106817 0.467995i
\(377\) 13.1278 + 6.32204i 0.676118 + 0.325601i
\(378\) −13.1440 + 4.90929i −0.676055 + 0.252507i
\(379\) 11.6810 5.62525i 0.600010 0.288950i −0.109118 0.994029i \(-0.534803\pi\)
0.709129 + 0.705079i \(0.249088\pi\)
\(380\) −7.07979 8.87778i −0.363186 0.455421i
\(381\) 9.88152 + 8.95755i 0.506246 + 0.458909i
\(382\) −3.07453 13.4704i −0.157307 0.689206i
\(383\) −1.61984 21.6152i −0.0827697 1.10449i −0.871712 0.490018i \(-0.836990\pi\)
0.788942 0.614467i \(-0.210629\pi\)
\(384\) 3.88174 0.631236i 0.198089 0.0322126i
\(385\) −5.57365 + 15.2425i −0.284060 + 0.776829i
\(386\) −4.47763 19.6178i −0.227906 0.998519i
\(387\) 3.95248 7.22833i 0.200916 0.367436i
\(388\) 3.84366 + 0.579338i 0.195132 + 0.0294115i
\(389\) −12.2040 11.3236i −0.618766 0.574131i 0.307244 0.951631i \(-0.400593\pi\)
−0.926010 + 0.377500i \(0.876784\pi\)
\(390\) −9.87336 8.95015i −0.499957 0.453208i
\(391\) −12.4865 + 21.6273i −0.631470 + 1.09374i
\(392\) −20.7286 + 4.12585i −1.04695 + 0.208387i
\(393\) 0.397322 0.510265i 0.0200423 0.0257395i
\(394\) 0.922661 0.444330i 0.0464830 0.0223850i
\(395\) −31.8482 + 9.82388i −1.60246 + 0.494293i
\(396\) 4.94165 + 2.24000i 0.248327 + 0.112564i
\(397\) 12.3758 + 11.4831i 0.621123 + 0.576318i 0.926678 0.375857i \(-0.122651\pi\)
−0.305555 + 0.952174i \(0.598842\pi\)
\(398\) 20.2011 18.7439i 1.01259 0.939547i
\(399\) 13.4626 9.88694i 0.673974 0.494966i
\(400\) 4.75282 + 4.40997i 0.237641 + 0.220499i
\(401\) 2.26696 + 30.2505i 0.113207 + 1.51064i 0.707685 + 0.706528i \(0.249739\pi\)
−0.594479 + 0.804111i \(0.702641\pi\)
\(402\) 0.550566 0.384805i 0.0274597 0.0191923i
\(403\) −1.60968 + 21.4797i −0.0801840 + 1.06998i
\(404\) −13.1200 + 1.97752i −0.652743 + 0.0983852i
\(405\) 17.1594 23.6948i 0.852658 1.17740i
\(406\) 8.13601 14.8871i 0.403783 0.738836i
\(407\) −0.0895244 1.19462i −0.00443756 0.0592151i
\(408\) −19.5741 9.14806i −0.969062 0.452897i
\(409\) −11.3364 14.2154i −0.560549 0.702906i 0.418110 0.908396i \(-0.362693\pi\)
−0.978659 + 0.205490i \(0.934121\pi\)
\(410\) −15.8528 −0.782915
\(411\) 32.3675 + 4.49507i 1.59657 + 0.221726i
\(412\) −0.229773 + 0.585453i −0.0113201 + 0.0288432i
\(413\) −9.49835 + 25.9755i −0.467383 + 1.27817i
\(414\) 15.0451 10.7775i 0.739426 0.529683i
\(415\) −20.5615 52.3898i −1.00932 2.57171i
\(416\) −9.29316 + 6.33597i −0.455635 + 0.310646i
\(417\) −6.93075 4.60840i −0.339400 0.225674i
\(418\) 6.94154 + 1.04627i 0.339522 + 0.0511747i
\(419\) −0.395064 1.00661i −0.0193002 0.0491760i 0.920899 0.389802i \(-0.127456\pi\)
−0.940199 + 0.340626i \(0.889361\pi\)
\(420\) 10.1186 10.0710i 0.493736 0.491415i
\(421\) −7.84153 + 19.9799i −0.382173 + 0.973760i 0.602308 + 0.798264i \(0.294248\pi\)
−0.984480 + 0.175496i \(0.943847\pi\)
\(422\) 5.13341 8.89133i 0.249891 0.432823i
\(423\) −6.63186 + 6.44630i −0.322452 + 0.313430i
\(424\) 8.17854 20.8386i 0.397185 1.01201i
\(425\) 5.11761 + 22.4217i 0.248240 + 1.08761i
\(426\) −0.330020 + 5.21541i −0.0159895 + 0.252687i
\(427\) −3.14550 31.9165i −0.152221 1.54455i
\(428\) 0.625255 8.34344i 0.0302228 0.403296i
\(429\) −7.57965 + 0.0879752i −0.365949 + 0.00424748i
\(430\) 0.680827 9.08500i 0.0328324 0.438118i
\(431\) 5.98383 5.55218i 0.288231 0.267439i −0.522783 0.852466i \(-0.675106\pi\)
0.811014 + 0.585026i \(0.198916\pi\)
\(432\) 3.93593 + 4.59758i 0.189367 + 0.221201i
\(433\) −4.14128 + 18.1441i −0.199017 + 0.871951i 0.772506 + 0.635007i \(0.219003\pi\)
−0.971523 + 0.236944i \(0.923854\pi\)
\(434\) 24.8804 + 3.15574i 1.19430 + 0.151480i
\(435\) 3.05273 + 35.2421i 0.146367 + 1.68973i
\(436\) −9.36124 + 2.88756i −0.448322 + 0.138289i
\(437\) −13.7365 + 17.2250i −0.657106 + 0.823985i
\(438\) 4.52804 + 5.54473i 0.216358 + 0.264937i
\(439\) −35.5497 + 17.1198i −1.69669 + 0.817085i −0.702237 + 0.711943i \(0.747815\pi\)
−0.994457 + 0.105142i \(0.966470\pi\)
\(440\) 18.5211 0.882959
\(441\) 14.2109 + 15.4612i 0.676710 + 0.736250i
\(442\) 9.77894 0.465137
\(443\) 14.7081 7.08306i 0.698805 0.336527i −0.0505259 0.998723i \(-0.516090\pi\)
0.749330 + 0.662196i \(0.230375\pi\)
\(444\) −0.373580 + 0.985343i −0.0177293 + 0.0467623i
\(445\) 11.0614 13.8706i 0.524361 0.657527i
\(446\) 25.9099 7.99215i 1.22687 0.378439i
\(447\) −15.4769 7.23323i −0.732033 0.342120i
\(448\) 10.0178 + 16.4487i 0.473297 + 0.777128i
\(449\) −0.915703 + 4.01196i −0.0432147 + 0.189336i −0.991928 0.126801i \(-0.959529\pi\)
0.948713 + 0.316137i \(0.102386\pi\)
\(450\) 3.40586 16.6998i 0.160554 0.787236i
\(451\) −6.61016 + 6.13333i −0.311260 + 0.288807i
\(452\) 0.829213 11.0651i 0.0390029 0.520457i
\(453\) 0.0590439 + 0.0995798i 0.00277412 + 0.00467867i
\(454\) 0.620749 8.28332i 0.0291332 0.388755i
\(455\) −6.84974 + 18.7322i −0.321121 + 0.878181i
\(456\) −15.8729 10.5542i −0.743316 0.494246i
\(457\) 4.48180 + 19.6361i 0.209650 + 0.918536i 0.964800 + 0.262984i \(0.0847067\pi\)
−0.755150 + 0.655552i \(0.772436\pi\)
\(458\) 6.92675 17.6491i 0.323666 0.824687i
\(459\) 2.34859 + 21.3392i 0.109623 + 0.996030i
\(460\) −9.41529 + 16.3078i −0.438990 + 0.760353i
\(461\) −8.22823 + 20.9652i −0.383227 + 0.976446i 0.600955 + 0.799283i \(0.294787\pi\)
−0.984182 + 0.177163i \(0.943308\pi\)
\(462\) −0.350793 + 8.81887i −0.0163204 + 0.410291i
\(463\) 13.8892 + 35.3891i 0.645486 + 1.64467i 0.758965 + 0.651132i \(0.225705\pi\)
−0.113479 + 0.993540i \(0.536199\pi\)
\(464\) −7.23622 1.09069i −0.335933 0.0506338i
\(465\) −46.8481 + 23.2345i −2.17253 + 1.07747i
\(466\) 18.5263 12.6310i 0.858216 0.585122i
\(467\) 5.38821 + 13.7289i 0.249336 + 0.635299i 0.999668 0.0257628i \(-0.00820145\pi\)
−0.750332 + 0.661062i \(0.770106\pi\)
\(468\) 6.07304 + 2.75285i 0.280726 + 0.127250i
\(469\) −0.843703 0.546712i −0.0389586 0.0252448i
\(470\) −3.73657 + 9.52063i −0.172355 + 0.439154i
\(471\) −13.2248 32.5794i −0.609369 1.50118i
\(472\) 31.5628 1.45279
\(473\) −3.23103 4.05159i −0.148563 0.186292i
\(474\) −14.8558 + 10.3831i −0.682351 + 0.476913i
\(475\) 1.51624 + 20.2328i 0.0695698 + 0.928344i
\(476\) −0.537844 + 10.4622i −0.0246520 + 0.479536i
\(477\) −21.9115 + 3.82473i −1.00326 + 0.175122i
\(478\) −22.0316 + 3.32073i −1.00770 + 0.151886i
\(479\) 3.06424 40.8894i 0.140009 1.86828i −0.278985 0.960295i \(-0.589998\pi\)
0.418993 0.907989i \(-0.362383\pi\)
\(480\) −24.7378 11.5613i −1.12912 0.527700i
\(481\) −0.110021 1.46813i −0.00501652 0.0669408i
\(482\) 12.5332 + 11.6291i 0.570873 + 0.529692i
\(483\) −23.4189 14.7922i −1.06560 0.673067i
\(484\) −5.22614 + 4.84915i −0.237552 + 0.220416i
\(485\) −9.66465 8.96749i −0.438849 0.407193i
\(486\) 4.94368 15.1220i 0.224250 0.685946i
\(487\) −31.3298 + 9.66396i −1.41969 + 0.437916i −0.907171 0.420762i \(-0.861763\pi\)
−0.512517 + 0.858677i \(0.671287\pi\)
\(488\) −32.9749 + 15.8799i −1.49270 + 0.718848i
\(489\) 34.3126 + 4.76520i 1.55167 + 0.215490i
\(490\) 21.3724 + 9.08463i 0.965506 + 0.410402i
\(491\) −6.00179 + 10.3954i −0.270857 + 0.469138i −0.969081 0.246741i \(-0.920640\pi\)
0.698225 + 0.715879i \(0.253974\pi\)
\(492\) 7.55198 2.42582i 0.340469 0.109364i
\(493\) −19.0285 17.6558i −0.856999 0.795179i
\(494\) 8.53080 + 1.28581i 0.383819 + 0.0578514i
\(495\) −9.56873 15.7193i −0.430082 0.706528i
\(496\) −2.40725 10.5469i −0.108089 0.473568i
\(497\) 7.41793 2.47995i 0.332740 0.111241i
\(498\) −19.3589 23.7056i −0.867492 1.06227i
\(499\) 0.372573 + 4.97164i 0.0166786 + 0.222561i 0.999315 + 0.0370172i \(0.0117856\pi\)
−0.982636 + 0.185544i \(0.940595\pi\)
\(500\) 0.392734 + 1.72068i 0.0175636 + 0.0769512i
\(501\) −14.4004 + 4.62562i −0.643360 + 0.206658i
\(502\) −1.43097 1.79437i −0.0638671 0.0800869i
\(503\) 28.6747 13.8090i 1.27854 0.615712i 0.333526 0.942741i \(-0.391762\pi\)
0.945014 + 0.327029i \(0.106047\pi\)
\(504\) 11.0017 21.2906i 0.490054 0.948357i
\(505\) 40.5461 + 19.5260i 1.80428 + 0.868895i
\(506\) −2.59046 11.3496i −0.115160 0.504549i
\(507\) 13.2001 0.153211i 0.586239 0.00680434i
\(508\) −7.37978 −0.327425
\(509\) −15.7182 27.2247i −0.696696 1.20671i −0.969606 0.244673i \(-0.921320\pi\)
0.272910 0.962040i \(-0.412014\pi\)
\(510\) 12.1081 + 20.4209i 0.536158 + 0.904251i
\(511\) 5.13829 9.40196i 0.227304 0.415918i
\(512\) 7.90734 9.91549i 0.349458 0.438207i
\(513\) −0.757021 + 18.9244i −0.0334233 + 0.835532i
\(514\) −1.21001 16.1465i −0.0533712 0.712190i
\(515\) 1.76252 1.20167i 0.0776661 0.0529519i
\(516\) 1.06586 + 4.43210i 0.0469221 + 0.195112i
\(517\) 2.12542 + 5.41548i 0.0934758 + 0.238172i
\(518\) −1.71371 + 0.0401716i −0.0752963 + 0.00176504i
\(519\) 1.17663 2.09374i 0.0516485 0.0919049i
\(520\) 22.7615 0.998157
\(521\) −12.9615 22.4501i −0.567856 0.983555i −0.996778 0.0802133i \(-0.974440\pi\)
0.428922 0.903341i \(-0.358893\pi\)
\(522\) 7.44175 + 17.7391i 0.325716 + 0.776421i
\(523\) −6.34558 1.95735i −0.277473 0.0855890i 0.152896 0.988242i \(-0.451140\pi\)
−0.430368 + 0.902653i \(0.641616\pi\)
\(524\) 0.0267413 + 0.356838i 0.00116820 + 0.0155885i
\(525\) −25.0754 + 4.68335i −1.09438 + 0.204398i
\(526\) −1.24346 + 16.5928i −0.0542175 + 0.723482i
\(527\) 14.0194 35.7208i 0.610694 1.55602i
\(528\) 3.62461 1.16428i 0.157741 0.0506689i
\(529\) 12.9345 + 3.98976i 0.562369 + 0.173468i
\(530\) −20.3233 + 13.8562i −0.882790 + 0.601876i
\(531\) −16.3066 26.7880i −0.707645 1.16250i
\(532\) −1.84485 + 9.05617i −0.0799845 + 0.392635i
\(533\) −8.12355 + 7.53755i −0.351870 + 0.326488i
\(534\) 3.42028 9.02122i 0.148010 0.390386i
\(535\) −17.6937 + 22.1872i −0.764967 + 0.959238i
\(536\) −0.255298 + 1.11853i −0.0110272 + 0.0483133i
\(537\) −2.31263 + 10.7035i −0.0997975 + 0.461888i
\(538\) −9.71445 16.8259i −0.418820 0.725417i
\(539\) 12.4264 4.48078i 0.535244 0.193001i
\(540\) 1.77092 + 16.0906i 0.0762084 + 0.692428i
\(541\) 0.865228 11.5457i 0.0371991 0.496387i −0.947224 0.320572i \(-0.896125\pi\)
0.984423 0.175815i \(-0.0562561\pi\)
\(542\) −12.9446 12.0108i −0.556018 0.515909i
\(543\) −40.1914 11.8883i −1.72478 0.510178i
\(544\) 19.1473 5.90615i 0.820933 0.253224i
\(545\) 31.7513 + 9.79399i 1.36008 + 0.419528i
\(546\) −0.431107 + 10.8379i −0.0184497 + 0.463821i
\(547\) −7.35029 + 2.26726i −0.314276 + 0.0969412i −0.447880 0.894093i \(-0.647821\pi\)
0.133605 + 0.991035i \(0.457345\pi\)
\(548\) −14.9396 + 10.1857i −0.638190 + 0.435110i
\(549\) 30.5137 + 19.7823i 1.30229 + 0.844290i
\(550\) −8.85802 6.03930i −0.377707 0.257516i
\(551\) −14.2782 17.9043i −0.608273 0.762751i
\(552\) −6.67581 + 30.8973i −0.284141 + 1.31508i
\(553\) 22.7655 + 14.7518i 0.968087 + 0.627312i
\(554\) −3.95573 + 2.69697i −0.168063 + 0.114583i
\(555\) 2.92959 2.04757i 0.124354 0.0869143i
\(556\) 4.55386 0.686384i 0.193127 0.0291092i
\(557\) −3.23517 5.60348i −0.137079 0.237427i 0.789311 0.613994i \(-0.210438\pi\)
−0.926390 + 0.376566i \(0.877105\pi\)
\(558\) −20.3918 + 19.8212i −0.863252 + 0.839099i
\(559\) −3.97077 4.97919i −0.167946 0.210597i
\(560\) 0.514287 10.0040i 0.0217326 0.422747i
\(561\) 12.9494 + 3.83035i 0.546725 + 0.161718i
\(562\) −4.91135 0.740267i −0.207173 0.0312263i
\(563\) 4.08144 + 1.96552i 0.172012 + 0.0828367i 0.517908 0.855436i \(-0.326711\pi\)
−0.345896 + 0.938273i \(0.612425\pi\)
\(564\) 0.323174 5.10722i 0.0136081 0.215053i
\(565\) −23.4654 + 29.4247i −0.987198 + 1.23791i
\(566\) −6.14762 + 7.70888i −0.258404 + 0.324028i
\(567\) −23.7537 + 1.66218i −0.997561 + 0.0698052i
\(568\) −5.56517 6.97851i −0.233510 0.292812i
\(569\) 6.84212 0.286836 0.143418 0.989662i \(-0.454191\pi\)
0.143418 + 0.989662i \(0.454191\pi\)
\(570\) 7.87763 + 19.4065i 0.329958 + 0.812849i
\(571\) 10.2193 + 12.8146i 0.427666 + 0.536276i 0.948246 0.317537i \(-0.102856\pi\)
−0.520580 + 0.853813i \(0.674284\pi\)
\(572\) 3.07461 2.85282i 0.128556 0.119282i
\(573\) 1.48080 23.4016i 0.0618615 0.977617i
\(574\) 8.27906 + 9.89664i 0.345561 + 0.413078i
\(575\) 30.3148 14.5988i 1.26421 0.608813i
\(576\) −21.6637 2.75268i −0.902653 0.114695i
\(577\) −9.05416 6.17302i −0.376930 0.256986i 0.360005 0.932950i \(-0.382775\pi\)
−0.736934 + 0.675964i \(0.763727\pi\)
\(578\) −0.0678439 0.0209271i −0.00282193 0.000870451i
\(579\) 2.15659 34.0813i 0.0896248 1.41637i
\(580\) −14.3482 13.3132i −0.595775 0.552799i
\(581\) −21.9679 + 40.1965i −0.911381 + 1.66763i
\(582\) −6.49534 3.03563i −0.269240 0.125831i
\(583\) −3.11338 + 13.6406i −0.128943 + 0.564935i
\(584\) −12.0907 1.82237i −0.500315 0.0754104i
\(585\) −11.7595 19.3182i −0.486195 0.798708i
\(586\) −0.926842 + 12.3679i −0.0382875 + 0.510911i
\(587\) −10.9970 19.0473i −0.453894 0.786168i 0.544730 0.838612i \(-0.316632\pi\)
−0.998624 + 0.0524438i \(0.983299\pi\)
\(588\) −11.5715 1.05732i −0.477202 0.0436031i
\(589\) 16.9269 29.3182i 0.697459 1.20803i
\(590\) −28.6545 19.5363i −1.17969 0.804297i
\(591\) 1.71542 0.278957i 0.0705630 0.0114747i
\(592\) 0.270137 + 0.688299i 0.0111026 + 0.0282889i
\(593\) −10.1376 9.40631i −0.416301 0.386271i 0.444026 0.896014i \(-0.353550\pi\)
−0.860327 + 0.509743i \(0.829740\pi\)
\(594\) −7.56858 6.54737i −0.310542 0.268642i
\(595\) 21.4971 28.2920i 0.881294 1.15986i
\(596\) 9.03284 2.78626i 0.369999 0.114130i
\(597\) 41.8980 20.7795i 1.71477 0.850446i
\(598\) −3.18354 13.9480i −0.130185 0.570377i
\(599\) −20.9222 + 10.0756i −0.854857 + 0.411678i −0.809378 0.587288i \(-0.800196\pi\)
−0.0454791 + 0.998965i \(0.514481\pi\)
\(600\) 14.8470 + 25.0401i 0.606127 + 1.02226i
\(601\) −15.5560 10.6059i −0.634544 0.432625i 0.202861 0.979208i \(-0.434976\pi\)
−0.837405 + 0.546583i \(0.815928\pi\)
\(602\) −6.02717 + 4.31957i −0.245649 + 0.176053i
\(603\) 1.08122 0.361202i 0.0440308 0.0147093i
\(604\) −0.0612112 0.0188811i −0.00249065 0.000768263i
\(605\) 23.9110 3.60400i 0.972119 0.146523i
\(606\) 24.2404 + 3.36642i 0.984700 + 0.136751i
\(607\) 11.9381 + 20.6774i 0.484553 + 0.839270i 0.999843 0.0177461i \(-0.00564907\pi\)
−0.515290 + 0.857016i \(0.672316\pi\)
\(608\) 17.4800 2.63469i 0.708908 0.106851i
\(609\) 20.4067 20.3108i 0.826923 0.823034i
\(610\) 39.7656 + 5.99370i 1.61006 + 0.242678i
\(611\) 2.61203 + 6.65535i 0.105671 + 0.269246i
\(612\) −8.89291 7.87530i −0.359475 0.318340i
\(613\) 2.65436 + 35.4200i 0.107209 + 1.43060i 0.748415 + 0.663230i \(0.230815\pi\)
−0.641207 + 0.767368i \(0.721566\pi\)
\(614\) −12.7862 + 16.0334i −0.516009 + 0.647055i
\(615\) −25.7988 7.63110i −1.04031 0.307716i
\(616\) −9.67256 11.5624i −0.389718 0.465862i
\(617\) −4.39299 + 0.662136i −0.176855 + 0.0266566i −0.236873 0.971541i \(-0.576122\pi\)
0.0600176 + 0.998197i \(0.480884\pi\)
\(618\) 0.712708 0.915301i 0.0286693 0.0368188i
\(619\) 8.87193 15.3666i 0.356593 0.617637i −0.630796 0.775949i \(-0.717272\pi\)
0.987389 + 0.158311i \(0.0506049\pi\)
\(620\) 10.5711 26.9348i 0.424547 1.08173i
\(621\) 29.6722 10.2969i 1.19071 0.413200i
\(622\) 26.4547 + 12.7399i 1.06074 + 0.510825i
\(623\) −14.4359 + 0.338396i −0.578363 + 0.0135576i
\(624\) 4.45446 1.43084i 0.178321 0.0572796i
\(625\) −7.98138 + 20.3362i −0.319255 + 0.813449i
\(626\) 30.0253 14.4594i 1.20005 0.577915i
\(627\) 10.7930 + 5.04416i 0.431030 + 0.201444i
\(628\) 17.5287 + 8.44140i 0.699473 + 0.336849i
\(629\) −0.583628 + 2.55704i −0.0232708 + 0.101956i
\(630\) −23.1661 + 12.5191i −0.922960 + 0.498774i
\(631\) −0.707358 3.09914i −0.0281595 0.123375i 0.958895 0.283762i \(-0.0915827\pi\)
−0.987054 + 0.160388i \(0.948726\pi\)
\(632\) 6.88866 30.1812i 0.274016 1.20054i
\(633\) 12.6341 11.9986i 0.502161 0.476902i
\(634\) −7.36621 + 32.2735i −0.292550 + 1.28174i
\(635\) 20.6813 + 14.1003i 0.820711 + 0.559551i
\(636\) 7.56136 9.71074i 0.299827 0.385056i
\(637\) 15.2715 5.50666i 0.605077 0.218182i
\(638\) 12.1005 0.479065
\(639\) −3.04762 + 8.32866i −0.120562 + 0.329477i
\(640\) 7.05282 2.17551i 0.278787 0.0859945i
\(641\) −3.45157 8.79445i −0.136329 0.347360i 0.846364 0.532606i \(-0.178787\pi\)
−0.982692 + 0.185246i \(0.940692\pi\)
\(642\) −5.47105 + 14.4303i −0.215925 + 0.569517i
\(643\) −11.0235 3.40029i −0.434724 0.134095i 0.0696665 0.997570i \(-0.477806\pi\)
−0.504390 + 0.863476i \(0.668283\pi\)
\(644\) 15.0977 2.63885i 0.594934 0.103985i
\(645\) 5.48124 14.4571i 0.215824 0.569249i
\(646\) −13.8472 6.66848i −0.544812 0.262368i
\(647\) −14.1612 + 13.1397i −0.556734 + 0.516574i −0.907591 0.419855i \(-0.862081\pi\)
0.350857 + 0.936429i \(0.385890\pi\)
\(648\) 11.0909 + 24.8074i 0.435693 + 0.974528i
\(649\) −19.5065 + 2.94014i −0.765699 + 0.115410i
\(650\) −10.8861 7.42199i −0.426986 0.291114i
\(651\) 38.9711 + 17.1124i 1.52740 + 0.670686i
\(652\) −15.8374 + 10.7978i −0.620241 + 0.422873i
\(653\) 17.9470 16.6524i 0.702320 0.651658i −0.245891 0.969297i \(-0.579081\pi\)
0.948212 + 0.317639i \(0.102890\pi\)
\(654\) 18.0683 0.209715i 0.706528 0.00820051i
\(655\) 0.606856 1.05111i 0.0237118 0.0410701i
\(656\) 2.78284 4.82001i 0.108651 0.188190i
\(657\) 4.69983 + 11.2031i 0.183358 + 0.437076i
\(658\) 7.89497 2.63943i 0.307778 0.102896i
\(659\) 3.81373 + 0.574827i 0.148562 + 0.0223921i 0.222902 0.974841i \(-0.428447\pi\)
−0.0743403 + 0.997233i \(0.523685\pi\)
\(660\) 9.76434 + 2.88823i 0.380076 + 0.112424i
\(661\) −7.98524 3.84549i −0.310590 0.149572i 0.272095 0.962270i \(-0.412284\pi\)
−0.582685 + 0.812698i \(0.697998\pi\)
\(662\) −28.4903 13.7202i −1.10731 0.533252i
\(663\) 15.9142 + 4.70731i 0.618055 + 0.182817i
\(664\) 51.6916 + 7.79126i 2.00602 + 0.302359i
\(665\) 22.4733 21.8544i 0.871479 0.847476i
\(666\) 1.17628 1.54737i 0.0455800 0.0599593i
\(667\) −18.9884 + 32.8888i −0.735232 + 1.27346i
\(668\) 4.18450 7.24776i 0.161903 0.280424i
\(669\) 46.0128 0.534060i 1.77896 0.0206480i
\(670\) 0.924110 0.857449i 0.0357015 0.0331261i
\(671\) 18.9000 12.8858i 0.729627 0.497451i
\(672\) 5.70165 + 21.4812i 0.219946 + 0.828655i
\(673\) 39.3324 + 26.8164i 1.51615 + 1.03370i 0.982125 + 0.188229i \(0.0602746\pi\)
0.534028 + 0.845467i \(0.320678\pi\)
\(674\) 11.1695 1.68353i 0.430232 0.0648470i
\(675\) 13.5815 25.5377i 0.522752 0.982945i
\(676\) −5.35451 + 4.96826i −0.205943 + 0.191087i
\(677\) 23.7870 + 11.4552i 0.914208 + 0.440259i 0.831000 0.556273i \(-0.187769\pi\)
0.0832084 + 0.996532i \(0.473483\pi\)
\(678\) −7.25571 + 19.1374i −0.278654 + 0.734968i
\(679\) −0.550925 + 10.7167i −0.0211426 + 0.411269i
\(680\) −38.7481 11.9522i −1.48592 0.458346i
\(681\) 4.99756 13.1814i 0.191507 0.505112i
\(682\) 6.53528 + 16.6516i 0.250249 + 0.637623i
\(683\) −17.5497 + 5.41337i −0.671521 + 0.207137i −0.611721 0.791074i \(-0.709523\pi\)
−0.0598001 + 0.998210i \(0.519046\pi\)
\(684\) −6.72236 8.03945i −0.257036 0.307396i
\(685\) 61.3286 2.34325
\(686\) −5.49025 18.0868i −0.209619 0.690558i
\(687\) 19.7683 25.3876i 0.754209 0.968599i
\(688\) 2.64276 + 1.80180i 0.100754 + 0.0686931i
\(689\) −3.82618 + 16.7636i −0.145766 + 0.638642i
\(690\) 25.1851 23.9183i 0.958781 0.910554i
\(691\) 3.43681 15.0577i 0.130742 0.572820i −0.866537 0.499112i \(-0.833660\pi\)
0.997280 0.0737080i \(-0.0234833\pi\)
\(692\) 0.295711 + 1.29560i 0.0112413 + 0.0492512i
\(693\) −4.81604 + 14.1829i −0.182946 + 0.538764i
\(694\) −5.49085 + 24.0570i −0.208430 + 0.913191i
\(695\) −14.0733 6.77735i −0.533831 0.257080i
\(696\) −29.7665 13.9116i −1.12830 0.527316i
\(697\) 17.7872 8.56584i 0.673737 0.324454i
\(698\) 1.73508 4.42092i 0.0656738 0.167334i
\(699\) 36.2299 11.6376i 1.37034 0.440175i
\(700\) 8.53934 11.2385i 0.322757 0.424776i
\(701\) −27.8785 13.4256i −1.05296 0.507077i −0.174380 0.984679i \(-0.555792\pi\)
−0.878577 + 0.477602i \(0.841506\pi\)
\(702\) −9.30140 8.04638i −0.351059 0.303691i
\(703\) −0.845356 + 2.15393i −0.0318832 + 0.0812371i
\(704\) −6.86832 + 11.8963i −0.258860 + 0.448358i
\(705\) −10.6638 + 13.6951i −0.401624 + 0.515789i
\(706\) −12.3357 + 1.85931i −0.464262 + 0.0699762i
\(707\) −8.98530 35.5096i −0.337927 1.33548i
\(708\) 16.6399 + 4.92198i 0.625367 + 0.184979i
\(709\) 17.7425 22.2483i 0.666332 0.835554i −0.327684 0.944787i \(-0.606268\pi\)
0.994016 + 0.109233i \(0.0348396\pi\)
\(710\) 0.732921 + 9.78015i 0.0275060 + 0.367043i
\(711\) −29.1744 + 9.74625i −1.09413 + 0.365513i
\(712\) 6.02035 + 15.3396i 0.225622 + 0.574876i
\(713\) −55.5138 8.36735i −2.07901 0.313360i
\(714\) 6.42496 18.2236i 0.240448 0.682001i
\(715\) −14.0671 + 2.12028i −0.526081 + 0.0792940i
\(716\) −3.02955 5.24734i −0.113220 0.196102i
\(717\) −37.4525 5.20126i −1.39869 0.194245i
\(718\) −15.3582 + 2.31487i −0.573162 + 0.0863902i
\(719\) −11.0256 3.40095i −0.411185 0.126834i 0.0822595 0.996611i \(-0.473786\pi\)
−0.493445 + 0.869777i \(0.664263\pi\)
\(720\) 8.50342 + 7.53038i 0.316904 + 0.280641i
\(721\) −1.67065 0.472747i −0.0622183 0.0176060i
\(722\) 4.81888 + 3.28546i 0.179340 + 0.122272i
\(723\) 14.7985 + 24.9583i 0.550364 + 0.928210i
\(724\) 20.8946 10.0623i 0.776540 0.373962i
\(725\) 7.78240 + 34.0969i 0.289031 + 1.26633i
\(726\) 11.7807 5.84267i 0.437222 0.216842i
\(727\) 5.59302 1.72522i 0.207434 0.0639848i −0.189297 0.981920i \(-0.560621\pi\)
0.396731 + 0.917935i \(0.370145\pi\)
\(728\) −11.8871 14.2096i −0.440565 0.526643i
\(729\) 15.3246 22.2296i 0.567578 0.823320i
\(730\) 9.84862 + 9.13818i 0.364514 + 0.338219i
\(731\) 4.14505 + 10.5614i 0.153310 + 0.390628i
\(732\) −19.8607 + 3.22969i −0.734074 + 0.119373i
\(733\) −12.9302 8.81565i −0.477587 0.325613i 0.300487 0.953786i \(-0.402851\pi\)
−0.778074 + 0.628173i \(0.783803\pi\)
\(734\) −10.1888 + 17.6475i −0.376074 + 0.651380i
\(735\) 30.4082 + 25.0723i 1.12162 + 0.924807i
\(736\) −14.6576 25.3876i −0.540285 0.935801i
\(737\) 0.0535865 0.715062i 0.00197388 0.0263397i
\(738\) −14.6266 + 0.339582i −0.538414 + 0.0125002i
\(739\) 31.3744 + 4.72892i 1.15412 + 0.173956i 0.698093 0.716007i \(-0.254032\pi\)
0.456031 + 0.889964i \(0.349270\pi\)
\(740\) −0.440077 + 1.92810i −0.0161776 + 0.0708785i
\(741\) 13.2640 + 6.19901i 0.487266 + 0.227726i
\(742\) 19.2640 + 5.45116i 0.707203 + 0.200118i
\(743\) 28.8697 + 26.7872i 1.05913 + 0.982727i 0.999880 0.0155166i \(-0.00493929\pi\)
0.0592479 + 0.998243i \(0.481130\pi\)
\(744\) 3.06741 48.4753i 0.112457 1.77719i
\(745\) −30.6375 9.45040i −1.12247 0.346236i
\(746\) −4.76628 3.24959i −0.174506 0.118976i
\(747\) −20.0933 47.8971i −0.735176 1.75246i
\(748\) −6.73210 + 3.24201i −0.246150 + 0.118540i
\(749\) 23.0916 0.541296i 0.843748 0.0197785i
\(750\) 0.205584 3.24891i 0.00750687 0.118633i
\(751\) 26.1143 24.2306i 0.952926 0.884186i −0.0404403 0.999182i \(-0.512876\pi\)
0.993366 + 0.114996i \(0.0366856\pi\)
\(752\) −2.23880 2.80737i −0.0816407 0.102374i
\(753\) −1.46498 3.60898i −0.0533869 0.131519i
\(754\) 14.8709 0.541568
\(755\) 0.135464 + 0.169867i 0.00493005 + 0.00618209i
\(756\) 9.12020 9.50878i 0.331699 0.345831i
\(757\) −19.2861 + 24.1840i −0.700964 + 0.878982i −0.997095 0.0761658i \(-0.975732\pi\)
0.296131 + 0.955147i \(0.404304\pi\)
\(758\) 8.24998 10.3451i 0.299653 0.375752i
\(759\) 1.24766 19.7172i 0.0452872 0.715688i
\(760\) −32.2309 15.5216i −1.16914 0.563026i
\(761\) 12.4290 + 1.87336i 0.450549 + 0.0679094i 0.370398 0.928873i \(-0.379221\pi\)
0.0801517 + 0.996783i \(0.474460\pi\)
\(762\) 13.0529 + 3.86096i 0.472857 + 0.139868i
\(763\) −10.4678 24.9367i −0.378959 0.902768i
\(764\) 8.08947 + 10.1439i 0.292667 + 0.366993i
\(765\) 9.87469 + 39.0613i 0.357020 + 1.41226i
\(766\) −11.0611 19.1585i −0.399655 0.692224i
\(767\) −23.9725 + 3.61328i −0.865598 + 0.130468i
\(768\) 23.9582 16.7450i 0.864516 0.604233i
\(769\) −23.4797 + 16.0082i −0.846698 + 0.577269i −0.907105 0.420905i \(-0.861713\pi\)
0.0604066 + 0.998174i \(0.480760\pi\)
\(770\) 1.62457 + 16.4840i 0.0585453 + 0.594042i
\(771\) 5.80329 26.8591i 0.209001 0.967307i
\(772\) 11.7812 + 14.7732i 0.424015 + 0.531698i