Properties

Label 57.2.j.b.14.2
Level 57
Weight 2
Character 57.14
Analytic conductor 0.455
Analytic rank 0
Dimension 24
CM No

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Newspace parameters

Level: \( N \) = \( 57 = 3 \cdot 19 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 57.j (of order \(18\) and degree \(6\))

Newform invariants

Self dual: No
Analytic conductor: \(0.455147291521\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(4\) over \(\Q(\zeta_{18})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 14.2
Character \(\chi\) = 57.14
Dual form 57.2.j.b.53.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.886259 + 0.322572i) q^{2} +(-0.858393 + 1.50438i) q^{3} +(-0.850687 + 0.713811i) q^{4} +(-0.485824 + 0.578982i) q^{5} +(0.275488 - 1.61016i) q^{6} +(1.38278 + 2.39504i) q^{7} +(1.46681 - 2.54059i) q^{8} +(-1.52632 - 2.58270i) q^{9} +O(q^{10})\) \(q+(-0.886259 + 0.322572i) q^{2} +(-0.858393 + 1.50438i) q^{3} +(-0.850687 + 0.713811i) q^{4} +(-0.485824 + 0.578982i) q^{5} +(0.275488 - 1.61016i) q^{6} +(1.38278 + 2.39504i) q^{7} +(1.46681 - 2.54059i) q^{8} +(-1.52632 - 2.58270i) q^{9} +(0.243802 - 0.669841i) q^{10} +(2.28018 + 1.31646i) q^{11} +(-0.343620 - 1.89249i) q^{12} +(1.90254 - 0.335470i) q^{13} +(-1.99807 - 1.67658i) q^{14} +(-0.453982 - 1.22786i) q^{15} +(-0.0947805 + 0.537527i) q^{16} +(-0.220652 - 0.606237i) q^{17} +(2.18582 + 1.79659i) q^{18} +(-1.94082 - 3.90298i) q^{19} -0.839319i q^{20} +(-4.79001 + 0.0243368i) q^{21} +(-2.44549 - 0.431205i) q^{22} +(5.61638 + 6.69334i) q^{23} +(2.56291 + 4.38747i) q^{24} +(0.769045 + 4.36147i) q^{25} +(-1.57793 + 0.911019i) q^{26} +(5.19555 - 0.0791971i) q^{27} +(-2.88591 - 1.05039i) q^{28} +(-8.33804 - 3.03480i) q^{29} +(0.798418 + 0.941759i) q^{30} +(2.10245 - 1.21385i) q^{31} +(0.929445 + 5.27114i) q^{32} +(-3.93776 + 2.30022i) q^{33} +(0.391110 + 0.466106i) q^{34} +(-2.05847 - 0.362964i) q^{35} +(3.14198 + 1.10756i) q^{36} -6.09943i q^{37} +(2.97906 + 2.83300i) q^{38} +(-1.12846 + 3.15011i) q^{39} +(0.758345 + 2.08354i) q^{40} +(0.930968 - 5.27978i) q^{41} +(4.23734 - 1.56669i) q^{42} +(-1.12968 - 0.947914i) q^{43} +(-2.87943 + 0.507721i) q^{44} +(2.23686 + 0.371024i) q^{45} +(-7.13664 - 4.12034i) q^{46} +(3.48030 - 9.56204i) q^{47} +(-0.727286 - 0.603995i) q^{48} +(-0.324139 + 0.561425i) q^{49} +(-2.08846 - 3.61732i) q^{50} +(1.10142 + 0.188445i) q^{51} +(-1.37901 + 1.64344i) q^{52} +(4.16382 - 3.49386i) q^{53} +(-4.57905 + 1.74613i) q^{54} +(-1.86998 + 0.680616i) q^{55} +8.11308 q^{56} +(7.53755 + 0.430564i) q^{57} +8.36860 q^{58} +(-7.06560 + 2.57167i) q^{59} +(1.26266 + 0.720466i) q^{60} +(-1.37444 + 1.15329i) q^{61} +(-1.47176 + 1.75398i) q^{62} +(4.07510 - 7.22690i) q^{63} +(-3.06987 - 5.31717i) q^{64} +(-0.730070 + 1.26452i) q^{65} +(2.74788 - 3.30880i) q^{66} +(-3.35090 + 9.20653i) q^{67} +(0.620444 + 0.358214i) q^{68} +(-14.8904 + 2.70365i) q^{69} +(1.94142 - 0.342325i) q^{70} +(2.08521 + 1.74970i) q^{71} +(-8.80041 + 0.0894274i) q^{72} +(0.952144 - 5.39988i) q^{73} +(1.96750 + 5.40567i) q^{74} +(-7.22146 - 2.58692i) q^{75} +(4.43702 + 1.93484i) q^{76} +7.28150i q^{77} +(-0.0160339 - 3.15582i) q^{78} +(9.22088 + 1.62589i) q^{79} +(-0.265172 - 0.316020i) q^{80} +(-4.34068 + 7.88407i) q^{81} +(0.878031 + 4.97956i) q^{82} +(-7.02840 + 4.05785i) q^{83} +(4.05743 - 3.43987i) q^{84} +(0.458198 + 0.166771i) q^{85} +(1.30696 + 0.475694i) q^{86} +(11.7228 - 9.93854i) q^{87} +(6.68919 - 3.86200i) q^{88} +(-0.233188 - 1.32248i) q^{89} +(-2.10212 + 0.392725i) q^{90} +(3.43425 + 4.09278i) q^{91} +(-9.55556 - 1.68490i) q^{92} +(0.0213637 + 4.20485i) q^{93} +9.59708i q^{94} +(3.20265 + 0.772462i) q^{95} +(-8.72763 - 3.12647i) q^{96} +(4.64863 + 12.7720i) q^{97} +(0.106171 - 0.602125i) q^{98} +(-0.0802612 - 7.89837i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 9q^{3} - 18q^{4} - 9q^{6} - 6q^{7} + 3q^{9} + O(q^{10}) \) \( 24q - 9q^{3} - 18q^{4} - 9q^{6} - 6q^{7} + 3q^{9} - 6q^{10} + 9q^{12} + 6q^{13} - 9q^{15} + 30q^{16} - 12q^{19} - 6q^{21} + 24q^{22} - 21q^{24} + 12q^{25} - 27q^{27} - 48q^{28} + 42q^{30} - 18q^{31} + 21q^{33} - 42q^{34} + 63q^{36} + 30q^{40} + 105q^{42} + 54q^{43} + 6q^{45} - 54q^{46} - 33q^{48} + 6q^{49} + 3q^{51} - 48q^{52} - 87q^{54} - 90q^{55} - 6q^{57} + 24q^{58} - 66q^{60} - 6q^{61} - 9q^{63} + 18q^{64} - 57q^{66} - 36q^{69} + 18q^{70} + 24q^{72} + 90q^{73} + 12q^{76} + 9q^{78} + 30q^{79} + 3q^{81} + 126q^{82} + 99q^{84} - 6q^{85} + 15q^{87} + 54q^{88} + 24q^{90} + 66q^{91} + 33q^{93} - 18q^{96} - 78q^{97} + 12q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/57\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(40\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.886259 + 0.322572i −0.626679 + 0.228093i −0.635785 0.771866i \(-0.719324\pi\)
0.00910593 + 0.999959i \(0.497101\pi\)
\(3\) −0.858393 + 1.50438i −0.495594 + 0.868555i
\(4\) −0.850687 + 0.713811i −0.425344 + 0.356906i
\(5\) −0.485824 + 0.578982i −0.217267 + 0.258929i −0.863659 0.504077i \(-0.831833\pi\)
0.646392 + 0.763006i \(0.276277\pi\)
\(6\) 0.275488 1.61016i 0.112467 0.657347i
\(7\) 1.38278 + 2.39504i 0.522640 + 0.905239i 0.999653 + 0.0263430i \(0.00838621\pi\)
−0.477013 + 0.878896i \(0.658280\pi\)
\(8\) 1.46681 2.54059i 0.518596 0.898234i
\(9\) −1.52632 2.58270i −0.508774 0.860900i
\(10\) 0.243802 0.669841i 0.0770971 0.211822i
\(11\) 2.28018 + 1.31646i 0.687501 + 0.396929i 0.802675 0.596417i \(-0.203409\pi\)
−0.115174 + 0.993345i \(0.536743\pi\)
\(12\) −0.343620 1.89249i −0.0991945 0.546314i
\(13\) 1.90254 0.335470i 0.527670 0.0930425i 0.0965347 0.995330i \(-0.469224\pi\)
0.431136 + 0.902287i \(0.358113\pi\)
\(14\) −1.99807 1.67658i −0.534006 0.448085i
\(15\) −0.453982 1.22786i −0.117218 0.317032i
\(16\) −0.0947805 + 0.537527i −0.0236951 + 0.134382i
\(17\) −0.220652 0.606237i −0.0535160 0.147034i 0.910054 0.414489i \(-0.136040\pi\)
−0.963570 + 0.267455i \(0.913817\pi\)
\(18\) 2.18582 + 1.79659i 0.515203 + 0.423461i
\(19\) −1.94082 3.90298i −0.445254 0.895404i
\(20\) 0.839319i 0.187678i
\(21\) −4.79001 + 0.0243368i −1.04527 + 0.00531073i
\(22\) −2.44549 0.431205i −0.521379 0.0919332i
\(23\) 5.61638 + 6.69334i 1.17110 + 1.39566i 0.901553 + 0.432668i \(0.142428\pi\)
0.269542 + 0.962989i \(0.413128\pi\)
\(24\) 2.56291 + 4.38747i 0.523153 + 0.895588i
\(25\) 0.769045 + 4.36147i 0.153809 + 0.872294i
\(26\) −1.57793 + 0.911019i −0.309458 + 0.178666i
\(27\) 5.19555 0.0791971i 0.999884 0.0152415i
\(28\) −2.88591 1.05039i −0.545387 0.198504i
\(29\) −8.33804 3.03480i −1.54834 0.563548i −0.580309 0.814397i \(-0.697068\pi\)
−0.968026 + 0.250849i \(0.919290\pi\)
\(30\) 0.798418 + 0.941759i 0.145771 + 0.171941i
\(31\) 2.10245 1.21385i 0.377611 0.218014i −0.299167 0.954201i \(-0.596709\pi\)
0.676778 + 0.736187i \(0.263375\pi\)
\(32\) 0.929445 + 5.27114i 0.164304 + 0.931815i
\(33\) −3.93776 + 2.30022i −0.685475 + 0.400417i
\(34\) 0.391110 + 0.466106i 0.0670747 + 0.0799366i
\(35\) −2.05847 0.362964i −0.347945 0.0613521i
\(36\) 3.14198 + 1.10756i 0.523664 + 0.184594i
\(37\) 6.09943i 1.00274i −0.865233 0.501370i \(-0.832829\pi\)
0.865233 0.501370i \(-0.167171\pi\)
\(38\) 2.97906 + 2.83300i 0.483267 + 0.459573i
\(39\) −1.12846 + 3.15011i −0.180698 + 0.504422i
\(40\) 0.758345 + 2.08354i 0.119905 + 0.329436i
\(41\) 0.930968 5.27978i 0.145393 0.824564i −0.821658 0.569981i \(-0.806951\pi\)
0.967051 0.254583i \(-0.0819382\pi\)
\(42\) 4.23734 1.56669i 0.653836 0.241746i
\(43\) −1.12968 0.947914i −0.172275 0.144556i 0.552574 0.833464i \(-0.313646\pi\)
−0.724848 + 0.688908i \(0.758090\pi\)
\(44\) −2.87943 + 0.507721i −0.434090 + 0.0765418i
\(45\) 2.23686 + 0.371024i 0.333452 + 0.0553090i
\(46\) −7.13664 4.12034i −1.05224 0.607511i
\(47\) 3.48030 9.56204i 0.507653 1.39477i −0.375998 0.926621i \(-0.622700\pi\)
0.883651 0.468146i \(-0.155078\pi\)
\(48\) −0.727286 0.603995i −0.104975 0.0871792i
\(49\) −0.324139 + 0.561425i −0.0463055 + 0.0802035i
\(50\) −2.08846 3.61732i −0.295353 0.511566i
\(51\) 1.10142 + 0.188445i 0.154229 + 0.0263875i
\(52\) −1.37901 + 1.64344i −0.191234 + 0.227904i
\(53\) 4.16382 3.49386i 0.571945 0.479919i −0.310346 0.950624i \(-0.600445\pi\)
0.882291 + 0.470705i \(0.156000\pi\)
\(54\) −4.57905 + 1.74613i −0.623130 + 0.237618i
\(55\) −1.86998 + 0.680616i −0.252148 + 0.0917742i
\(56\) 8.11308 1.08416
\(57\) 7.53755 + 0.430564i 0.998372 + 0.0570296i
\(58\) 8.36860 1.09885
\(59\) −7.06560 + 2.57167i −0.919863 + 0.334803i −0.758184 0.652041i \(-0.773913\pi\)
−0.161679 + 0.986843i \(0.551691\pi\)
\(60\) 1.26266 + 0.720466i 0.163008 + 0.0930118i
\(61\) −1.37444 + 1.15329i −0.175979 + 0.147664i −0.726523 0.687142i \(-0.758865\pi\)
0.550544 + 0.834806i \(0.314420\pi\)
\(62\) −1.47176 + 1.75398i −0.186914 + 0.222755i
\(63\) 4.07510 7.22690i 0.513415 0.910503i
\(64\) −3.06987 5.31717i −0.383734 0.664646i
\(65\) −0.730070 + 1.26452i −0.0905540 + 0.156844i
\(66\) 2.74788 3.30880i 0.338241 0.407285i
\(67\) −3.35090 + 9.20653i −0.409378 + 1.12476i 0.548141 + 0.836386i \(0.315336\pi\)
−0.957519 + 0.288371i \(0.906886\pi\)
\(68\) 0.620444 + 0.358214i 0.0752399 + 0.0434398i
\(69\) −14.8904 + 2.70365i −1.79259 + 0.325482i
\(70\) 1.94142 0.342325i 0.232044 0.0409156i
\(71\) 2.08521 + 1.74970i 0.247469 + 0.207651i 0.758082 0.652160i \(-0.226137\pi\)
−0.510613 + 0.859811i \(0.670581\pi\)
\(72\) −8.80041 + 0.0894274i −1.03714 + 0.0105391i
\(73\) 0.952144 5.39988i 0.111440 0.632008i −0.877011 0.480470i \(-0.840466\pi\)
0.988451 0.151538i \(-0.0484226\pi\)
\(74\) 1.96750 + 5.40567i 0.228718 + 0.628397i
\(75\) −7.22146 2.58692i −0.833862 0.298712i
\(76\) 4.43702 + 1.93484i 0.508961 + 0.221941i
\(77\) 7.28150i 0.829804i
\(78\) −0.0160339 3.15582i −0.00181548 0.357327i
\(79\) 9.22088 + 1.62589i 1.03743 + 0.182927i 0.666323 0.745663i \(-0.267867\pi\)
0.371107 + 0.928590i \(0.378978\pi\)
\(80\) −0.265172 0.316020i −0.0296471 0.0353321i
\(81\) −4.34068 + 7.88407i −0.482298 + 0.876007i
\(82\) 0.878031 + 4.97956i 0.0969622 + 0.549900i
\(83\) −7.02840 + 4.05785i −0.771467 + 0.445406i −0.833398 0.552674i \(-0.813607\pi\)
0.0619310 + 0.998080i \(0.480274\pi\)
\(84\) 4.05743 3.43987i 0.442702 0.375320i
\(85\) 0.458198 + 0.166771i 0.0496986 + 0.0180888i
\(86\) 1.30696 + 0.475694i 0.140933 + 0.0512954i
\(87\) 11.7228 9.93854i 1.25682 1.06552i
\(88\) 6.68919 3.86200i 0.713070 0.411691i
\(89\) −0.233188 1.32248i −0.0247179 0.140182i 0.969951 0.243299i \(-0.0782296\pi\)
−0.994669 + 0.103117i \(0.967118\pi\)
\(90\) −2.10212 + 0.392725i −0.221583 + 0.0413969i
\(91\) 3.43425 + 4.09278i 0.360008 + 0.429040i
\(92\) −9.55556 1.68490i −0.996236 0.175663i
\(93\) 0.0213637 + 4.20485i 0.00221531 + 0.436022i
\(94\) 9.59708i 0.989863i
\(95\) 3.20265 + 0.772462i 0.328585 + 0.0792529i
\(96\) −8.72763 3.12647i −0.890760 0.319094i
\(97\) 4.64863 + 12.7720i 0.471997 + 1.29680i 0.916145 + 0.400847i \(0.131284\pi\)
−0.444148 + 0.895953i \(0.646494\pi\)
\(98\) 0.106171 0.602125i 0.0107249 0.0608239i
\(99\) −0.0802612 7.89837i −0.00806655 0.793817i
\(100\) −3.76748 3.16129i −0.376748 0.316129i
\(101\) 2.06421 0.363975i 0.205396 0.0362169i −0.0700033 0.997547i \(-0.522301\pi\)
0.275400 + 0.961330i \(0.411190\pi\)
\(102\) −1.03693 + 0.188275i −0.102671 + 0.0186420i
\(103\) −10.4189 6.01535i −1.02660 0.592710i −0.110594 0.993866i \(-0.535275\pi\)
−0.916010 + 0.401155i \(0.868609\pi\)
\(104\) 1.93838 5.32565i 0.190074 0.522223i
\(105\) 2.31301 2.78516i 0.225727 0.271804i
\(106\) −2.56320 + 4.43960i −0.248960 + 0.431212i
\(107\) 3.41283 + 5.91119i 0.329930 + 0.571456i 0.982498 0.186275i \(-0.0596414\pi\)
−0.652567 + 0.757731i \(0.726308\pi\)
\(108\) −4.36325 + 3.77601i −0.419854 + 0.363347i
\(109\) 7.55399 9.00250i 0.723541 0.862283i −0.271429 0.962459i \(-0.587496\pi\)
0.994970 + 0.100176i \(0.0319405\pi\)
\(110\) 1.43774 1.20640i 0.137083 0.115026i
\(111\) 9.17587 + 5.23571i 0.870935 + 0.496952i
\(112\) −1.41846 + 0.516276i −0.134032 + 0.0487835i
\(113\) −1.98486 −0.186720 −0.0933599 0.995632i \(-0.529761\pi\)
−0.0933599 + 0.995632i \(0.529761\pi\)
\(114\) −6.81910 + 2.04981i −0.638668 + 0.191982i
\(115\) −6.60389 −0.615816
\(116\) 9.25934 3.37012i 0.859708 0.312908i
\(117\) −3.77031 4.40166i −0.348565 0.406934i
\(118\) 5.43240 4.55833i 0.500093 0.419628i
\(119\) 1.14685 1.36676i 0.105131 0.125291i
\(120\) −3.78539 0.647654i −0.345557 0.0591224i
\(121\) −2.03385 3.52273i −0.184895 0.320248i
\(122\) 0.846091 1.46547i 0.0766015 0.132678i
\(123\) 7.14367 + 5.93266i 0.644123 + 0.534930i
\(124\) −0.922067 + 2.53336i −0.0828041 + 0.227502i
\(125\) −6.17158 3.56316i −0.552003 0.318699i
\(126\) −1.28040 + 7.71941i −0.114067 + 0.687700i
\(127\) −11.1687 + 1.96935i −0.991065 + 0.174751i −0.645596 0.763679i \(-0.723391\pi\)
−0.345468 + 0.938430i \(0.612280\pi\)
\(128\) −3.76458 3.15885i −0.332745 0.279206i
\(129\) 2.39573 0.885786i 0.210933 0.0779891i
\(130\) 0.239133 1.35619i 0.0209733 0.118946i
\(131\) −6.23539 17.1316i −0.544789 1.49679i −0.840658 0.541566i \(-0.817832\pi\)
0.295869 0.955228i \(-0.404391\pi\)
\(132\) 1.70788 4.76758i 0.148652 0.414965i
\(133\) 6.66407 10.0453i 0.577848 0.871035i
\(134\) 9.24028i 0.798238i
\(135\) −2.47827 + 3.04661i −0.213295 + 0.262210i
\(136\) −1.86385 0.328648i −0.159824 0.0281813i
\(137\) 5.03788 + 6.00391i 0.430415 + 0.512949i 0.937042 0.349217i \(-0.113552\pi\)
−0.506627 + 0.862165i \(0.669108\pi\)
\(138\) 12.3246 7.19935i 1.04914 0.612850i
\(139\) −0.0146771 0.0832380i −0.00124490 0.00706015i 0.984179 0.177177i \(-0.0566966\pi\)
−0.985424 + 0.170117i \(0.945585\pi\)
\(140\) 2.01020 1.16059i 0.169893 0.0980878i
\(141\) 11.3975 + 13.4437i 0.959841 + 1.13216i
\(142\) −2.41244 0.878056i −0.202447 0.0736849i
\(143\) 4.77978 + 1.73970i 0.399705 + 0.145481i
\(144\) 1.53294 0.575649i 0.127745 0.0479708i
\(145\) 5.80791 3.35320i 0.482321 0.278468i
\(146\) 0.898002 + 5.09282i 0.0743192 + 0.421485i
\(147\) −0.566358 0.969551i −0.0467124 0.0799672i
\(148\) 4.35384 + 5.18871i 0.357884 + 0.426509i
\(149\) 11.7508 + 2.07199i 0.962664 + 0.169744i 0.632826 0.774294i \(-0.281895\pi\)
0.329838 + 0.944038i \(0.393006\pi\)
\(150\) 7.23455 0.0367568i 0.590698 0.00300118i
\(151\) 2.63924i 0.214778i −0.994217 0.107389i \(-0.965751\pi\)
0.994217 0.107389i \(-0.0342491\pi\)
\(152\) −12.7627 0.794111i −1.03519 0.0644109i
\(153\) −1.22894 + 1.49519i −0.0993540 + 0.120879i
\(154\) −2.34881 6.45329i −0.189272 0.520021i
\(155\) −0.318623 + 1.80700i −0.0255924 + 0.145142i
\(156\) −1.28862 3.48527i −0.103172 0.279045i
\(157\) −10.0279 8.41440i −0.800313 0.671543i 0.147962 0.988993i \(-0.452729\pi\)
−0.948275 + 0.317451i \(0.897173\pi\)
\(158\) −8.69655 + 1.53344i −0.691861 + 0.121994i
\(159\) 1.68190 + 9.26308i 0.133383 + 0.734610i
\(160\) −3.50345 2.02272i −0.276972 0.159910i
\(161\) −8.26461 + 22.7068i −0.651342 + 1.78955i
\(162\) 1.30379 8.38750i 0.102435 0.658984i
\(163\) −10.9580 + 18.9799i −0.858299 + 1.48662i 0.0152513 + 0.999884i \(0.495145\pi\)
−0.873550 + 0.486734i \(0.838188\pi\)
\(164\) 2.97681 + 5.15598i 0.232450 + 0.402614i
\(165\) 0.581270 3.39739i 0.0452518 0.264487i
\(166\) 4.92003 5.86346i 0.381868 0.455093i
\(167\) 0.977437 0.820167i 0.0756363 0.0634664i −0.604186 0.796844i \(-0.706501\pi\)
0.679822 + 0.733377i \(0.262057\pi\)
\(168\) −6.96421 + 12.2052i −0.537301 + 0.941648i
\(169\) −8.70887 + 3.16977i −0.669913 + 0.243829i
\(170\) −0.459878 −0.0352710
\(171\) −7.11791 + 10.9697i −0.544320 + 0.838877i
\(172\) 1.63764 0.124869
\(173\) 2.84010 1.03371i 0.215929 0.0785917i −0.231791 0.972766i \(-0.574458\pi\)
0.447720 + 0.894174i \(0.352236\pi\)
\(174\) −7.18355 + 12.5896i −0.544583 + 0.954412i
\(175\) −9.38247 + 7.87283i −0.709248 + 0.595130i
\(176\) −0.923751 + 1.10088i −0.0696304 + 0.0829822i
\(177\) 2.19630 12.8369i 0.165084 0.964877i
\(178\) 0.633259 + 1.09684i 0.0474647 + 0.0822113i
\(179\) −6.00020 + 10.3927i −0.448476 + 0.776784i −0.998287 0.0585055i \(-0.981366\pi\)
0.549811 + 0.835289i \(0.314700\pi\)
\(180\) −2.16771 + 1.28107i −0.161572 + 0.0954855i
\(181\) 2.65765 7.30183i 0.197542 0.542741i −0.800885 0.598818i \(-0.795637\pi\)
0.998426 + 0.0560773i \(0.0178593\pi\)
\(182\) −4.36385 2.51947i −0.323470 0.186756i
\(183\) −0.555181 3.05766i −0.0410402 0.226029i
\(184\) 25.2432 4.45105i 1.86095 0.328136i
\(185\) 3.53146 + 2.96325i 0.259638 + 0.217863i
\(186\) −1.37530 3.71969i −0.100842 0.272741i
\(187\) 0.294962 1.67281i 0.0215697 0.122328i
\(188\) 3.86485 + 10.6186i 0.281873 + 0.774439i
\(189\) 7.37396 + 12.3340i 0.536377 + 0.897168i
\(190\) −3.08755 + 0.348484i −0.223994 + 0.0252817i
\(191\) 1.07540i 0.0778132i −0.999243 0.0389066i \(-0.987613\pi\)
0.999243 0.0389066i \(-0.0123875\pi\)
\(192\) 10.6342 0.0540296i 0.767457 0.00389925i
\(193\) −1.90955 0.336705i −0.137452 0.0242366i 0.104499 0.994525i \(-0.466676\pi\)
−0.241951 + 0.970288i \(0.577787\pi\)
\(194\) −8.23978 9.81978i −0.591581 0.705019i
\(195\) −1.27563 2.18376i −0.0913497 0.156382i
\(196\) −0.125011 0.708971i −0.00892933 0.0506408i
\(197\) 13.7608 7.94478i 0.980414 0.566042i 0.0780187 0.996952i \(-0.475141\pi\)
0.902395 + 0.430910i \(0.141807\pi\)
\(198\) 2.61892 + 6.97411i 0.186119 + 0.495629i
\(199\) −2.60596 0.948493i −0.184732 0.0672369i 0.247998 0.968761i \(-0.420227\pi\)
−0.432730 + 0.901524i \(0.642450\pi\)
\(200\) 12.2088 + 4.44362i 0.863289 + 0.314212i
\(201\) −10.9737 12.9439i −0.774028 0.912990i
\(202\) −1.71201 + 0.988431i −0.120457 + 0.0695458i
\(203\) −4.26118 24.1664i −0.299076 1.69615i
\(204\) −1.07148 + 0.625896i −0.0750183 + 0.0438215i
\(205\) 2.60462 + 3.10406i 0.181914 + 0.216797i
\(206\) 11.1742 + 1.97032i 0.778545 + 0.137278i
\(207\) 8.71448 24.7216i 0.605698 1.71827i
\(208\) 1.05446i 0.0731139i
\(209\) 0.712715 11.4545i 0.0492996 0.792325i
\(210\) −1.15151 + 3.21448i −0.0794621 + 0.221820i
\(211\) −4.07334 11.1914i −0.280420 0.770449i −0.997313 0.0732647i \(-0.976658\pi\)
0.716892 0.697184i \(-0.245564\pi\)
\(212\) −1.04815 + 5.94436i −0.0719874 + 0.408261i
\(213\) −4.42215 + 1.63502i −0.303000 + 0.112030i
\(214\) −4.93143 4.13796i −0.337105 0.282865i
\(215\) 1.09765 0.193546i 0.0748592 0.0131997i
\(216\) 7.41968 13.3159i 0.504845 0.906034i
\(217\) 5.81444 + 3.35697i 0.394710 + 0.227886i
\(218\) −3.79084 + 10.4152i −0.256748 + 0.705409i
\(219\) 7.30616 + 6.06760i 0.493704 + 0.410011i
\(220\) 1.10493 1.91380i 0.0744946 0.129028i
\(221\) −0.623174 1.07937i −0.0419192 0.0726062i
\(222\) −9.82109 1.68032i −0.659148 0.112776i
\(223\) 4.22862 5.03948i 0.283170 0.337468i −0.605645 0.795735i \(-0.707085\pi\)
0.888815 + 0.458266i \(0.151529\pi\)
\(224\) −11.3394 + 9.51487i −0.757644 + 0.635739i
\(225\) 10.0906 8.64322i 0.672704 0.576215i
\(226\) 1.75910 0.640260i 0.117013 0.0425894i
\(227\) −18.9131 −1.25531 −0.627655 0.778492i \(-0.715985\pi\)
−0.627655 + 0.778492i \(0.715985\pi\)
\(228\) −6.71944 + 5.01411i −0.445005 + 0.332068i
\(229\) 9.56916 0.632348 0.316174 0.948701i \(-0.397602\pi\)
0.316174 + 0.948701i \(0.397602\pi\)
\(230\) 5.85276 2.13023i 0.385919 0.140463i
\(231\) −10.9541 6.25039i −0.720730 0.411245i
\(232\) −19.9405 + 16.7321i −1.30916 + 1.09851i
\(233\) 10.9126 13.0052i 0.714910 0.851997i −0.279216 0.960228i \(-0.590074\pi\)
0.994126 + 0.108232i \(0.0345189\pi\)
\(234\) 4.76132 + 2.68482i 0.311257 + 0.175512i
\(235\) 3.84544 + 6.66050i 0.250849 + 0.434483i
\(236\) 4.17493 7.23119i 0.271765 0.470710i
\(237\) −10.3611 + 12.4761i −0.673026 + 0.810408i
\(238\) −0.575525 + 1.58124i −0.0373058 + 0.102497i
\(239\) 15.3984 + 8.89028i 0.996041 + 0.575064i 0.907074 0.420970i \(-0.138310\pi\)
0.0889661 + 0.996035i \(0.471644\pi\)
\(240\) 0.703035 0.127650i 0.0453807 0.00823980i
\(241\) −6.54342 + 1.15378i −0.421499 + 0.0743216i −0.380375 0.924832i \(-0.624205\pi\)
−0.0411240 + 0.999154i \(0.513094\pi\)
\(242\) 2.93885 + 2.46598i 0.188916 + 0.158519i
\(243\) −8.13462 13.2977i −0.521836 0.853046i
\(244\) 0.345986 1.96218i 0.0221495 0.125616i
\(245\) −0.167581 0.460424i −0.0107063 0.0294154i
\(246\) −8.24485 2.95353i −0.525672 0.188310i
\(247\) −5.00182 6.77450i −0.318258 0.431051i
\(248\) 7.12195i 0.452244i
\(249\) −0.0714179 14.0566i −0.00452593 0.890801i
\(250\) 6.61899 + 1.16711i 0.418622 + 0.0738143i
\(251\) −18.5555 22.1135i −1.17121 1.39579i −0.901459 0.432864i \(-0.857503\pi\)
−0.269751 0.962930i \(-0.586941\pi\)
\(252\) 1.69200 + 9.05668i 0.106586 + 0.570517i
\(253\) 3.99483 + 22.6558i 0.251153 + 1.42436i
\(254\) 9.26313 5.34807i 0.581220 0.335568i
\(255\) −0.644201 + 0.546150i −0.0403414 + 0.0342012i
\(256\) 15.8943 + 5.78504i 0.993392 + 0.361565i
\(257\) −6.67388 2.42909i −0.416305 0.151523i 0.125371 0.992110i \(-0.459988\pi\)
−0.541676 + 0.840587i \(0.682210\pi\)
\(258\) −1.83751 + 1.55783i −0.114398 + 0.0969863i
\(259\) 14.6084 8.43415i 0.907720 0.524073i
\(260\) −0.281566 1.59684i −0.0174620 0.0990319i
\(261\) 4.88856 + 26.1667i 0.302594 + 1.61968i
\(262\) 11.0523 + 13.1717i 0.682816 + 0.813748i
\(263\) −1.50286 0.264995i −0.0926703 0.0163403i 0.127121 0.991887i \(-0.459426\pi\)
−0.219791 + 0.975547i \(0.570538\pi\)
\(264\) 0.0679711 + 13.3782i 0.00418333 + 0.823372i
\(265\) 4.10818i 0.252364i
\(266\) −2.66577 + 11.0523i −0.163449 + 0.677663i
\(267\) 2.18967 + 0.784401i 0.134006 + 0.0480045i
\(268\) −3.72116 10.2238i −0.227306 0.624518i
\(269\) −2.20000 + 12.4768i −0.134136 + 0.760726i 0.841321 + 0.540536i \(0.181779\pi\)
−0.975457 + 0.220189i \(0.929332\pi\)
\(270\) 1.21364 3.49950i 0.0738596 0.212973i
\(271\) 17.4285 + 14.6242i 1.05871 + 0.888359i 0.993982 0.109544i \(-0.0349391\pi\)
0.0647232 + 0.997903i \(0.479384\pi\)
\(272\) 0.346782 0.0611470i 0.0210267 0.00370758i
\(273\) −9.10504 + 1.65321i −0.551062 + 0.100057i
\(274\) −6.40155 3.69594i −0.386732 0.223280i
\(275\) −3.98816 + 10.9574i −0.240495 + 0.660754i
\(276\) 10.7372 12.9289i 0.646301 0.778227i
\(277\) 1.84387 3.19367i 0.110787 0.191889i −0.805301 0.592867i \(-0.797996\pi\)
0.916088 + 0.400978i \(0.131329\pi\)
\(278\) 0.0398579 + 0.0690360i 0.00239052 + 0.00414050i
\(279\) −6.34403 3.57727i −0.379807 0.214166i
\(280\) −3.94153 + 4.69733i −0.235551 + 0.280719i
\(281\) −7.23561 + 6.07140i −0.431640 + 0.362189i −0.832570 0.553919i \(-0.813132\pi\)
0.400930 + 0.916109i \(0.368687\pi\)
\(282\) −14.4377 8.23807i −0.859750 0.490570i
\(283\) −15.5216 + 5.64941i −0.922665 + 0.335823i −0.759298 0.650743i \(-0.774458\pi\)
−0.163367 + 0.986565i \(0.552235\pi\)
\(284\) −3.02282 −0.179371
\(285\) −3.91121 + 4.15493i −0.231680 + 0.246117i
\(286\) −4.79730 −0.283670
\(287\) 13.9326 5.07105i 0.822416 0.299335i
\(288\) 12.1952 10.4459i 0.718606 0.615533i
\(289\) 12.7039 10.6599i 0.747289 0.627050i
\(290\) −4.06567 + 4.84527i −0.238744 + 0.284524i
\(291\) −23.2043 3.97009i −1.36026 0.232731i
\(292\) 3.04452 + 5.27326i 0.178167 + 0.308594i
\(293\) −12.9655 + 22.4569i −0.757453 + 1.31195i 0.186692 + 0.982418i \(0.440223\pi\)
−0.944145 + 0.329529i \(0.893110\pi\)
\(294\) 0.814689 + 0.676582i 0.0475137 + 0.0394591i
\(295\) 1.94369 5.34024i 0.113166 0.310921i
\(296\) −15.4962 8.94671i −0.900696 0.520017i
\(297\) 11.9511 + 6.65917i 0.693471 + 0.386404i
\(298\) −11.0826 + 1.95417i −0.641999 + 0.113202i
\(299\) 12.9308 + 10.8502i 0.747808 + 0.627485i
\(300\) 7.98977 2.95410i 0.461290 0.170555i
\(301\) 0.708196 4.01638i 0.0408197 0.231500i
\(302\) 0.851345 + 2.33905i 0.0489894 + 0.134597i
\(303\) −1.22434 + 3.41779i −0.0703367 + 0.196347i
\(304\) 2.28191 0.673314i 0.130876 0.0386172i
\(305\) 1.35608i 0.0776487i
\(306\) 0.606854 1.72155i 0.0346915 0.0984143i
\(307\) 11.7253 + 2.06749i 0.669199 + 0.117998i 0.497917 0.867224i \(-0.334098\pi\)
0.171281 + 0.985222i \(0.445209\pi\)
\(308\) −5.19761 6.19428i −0.296162 0.352952i
\(309\) 17.9929 10.5104i 1.02358 0.597918i
\(310\) −0.300505 1.70425i −0.0170675 0.0967948i
\(311\) −11.8340 + 6.83236i −0.671045 + 0.387428i −0.796472 0.604675i \(-0.793303\pi\)
0.125428 + 0.992103i \(0.459970\pi\)
\(312\) 6.34792 + 7.48756i 0.359380 + 0.423900i
\(313\) −0.501783 0.182634i −0.0283624 0.0103231i 0.327800 0.944747i \(-0.393693\pi\)
−0.356162 + 0.934424i \(0.615915\pi\)
\(314\) 11.6016 + 4.22262i 0.654714 + 0.238296i
\(315\) 2.20446 + 5.87041i 0.124207 + 0.330760i
\(316\) −9.00467 + 5.19885i −0.506552 + 0.292458i
\(317\) 1.24799 + 7.07772i 0.0700943 + 0.397525i 0.999588 + 0.0286876i \(0.00913281\pi\)
−0.929494 + 0.368837i \(0.879756\pi\)
\(318\) −4.47861 7.66695i −0.251148 0.429941i
\(319\) −15.0170 17.8966i −0.840793 1.00202i
\(320\) 4.56996 + 0.805808i 0.255469 + 0.0450460i
\(321\) −11.8222 + 0.0600656i −0.659852 + 0.00335253i
\(322\) 22.7900i 1.27004i
\(323\) −1.93788 + 2.03779i −0.107827 + 0.113386i
\(324\) −1.93517 9.80530i −0.107510 0.544739i
\(325\) 2.92628 + 8.03990i 0.162321 + 0.445973i
\(326\) 3.58928 20.3558i 0.198792 1.12740i
\(327\) 7.05889 + 19.0918i 0.390357 + 1.05578i
\(328\) −12.0482 10.1096i −0.665251 0.558212i
\(329\) 27.7139 4.88671i 1.52792 0.269413i
\(330\) 0.580747 + 3.19847i 0.0319691 + 0.176070i
\(331\) 10.8346 + 6.25537i 0.595524 + 0.343826i 0.767279 0.641314i \(-0.221610\pi\)
−0.171755 + 0.985140i \(0.554944\pi\)
\(332\) 3.08243 8.46890i 0.169170 0.464791i
\(333\) −15.7530 + 9.30970i −0.863259 + 0.510168i
\(334\) −0.601699 + 1.04217i −0.0329235 + 0.0570252i
\(335\) −3.70247 6.41287i −0.202288 0.350373i
\(336\) 0.440918 2.57707i 0.0240541 0.140591i
\(337\) −10.1355 + 12.0790i −0.552114 + 0.657984i −0.967858 0.251498i \(-0.919077\pi\)
0.415744 + 0.909482i \(0.363521\pi\)
\(338\) 6.69584 5.61847i 0.364205 0.305605i
\(339\) 1.70379 2.98598i 0.0925372 0.162176i
\(340\) −0.508826 + 0.185198i −0.0275950 + 0.0100437i
\(341\) 6.39196 0.346144
\(342\) 2.76978 12.0181i 0.149773 0.649863i
\(343\) 17.5660 0.948476
\(344\) −4.06529 + 1.47964i −0.219186 + 0.0797770i
\(345\) 5.66874 9.93477i 0.305195 0.534870i
\(346\) −2.18362 + 1.83227i −0.117392 + 0.0985036i
\(347\) 6.99541 8.33680i 0.375533 0.447543i −0.544866 0.838523i \(-0.683419\pi\)
0.920399 + 0.390980i \(0.127864\pi\)
\(348\) −2.87820 + 16.8225i −0.154288 + 0.901778i
\(349\) −15.3337 26.5588i −0.820796 1.42166i −0.905090 0.425219i \(-0.860197\pi\)
0.0842943 0.996441i \(-0.473136\pi\)
\(350\) 5.77575 10.0039i 0.308727 0.534730i
\(351\) 9.85819 1.89362i 0.526191 0.101074i
\(352\) −4.81997 + 13.2427i −0.256905 + 0.705841i
\(353\) −9.45086 5.45646i −0.503018 0.290418i 0.226941 0.973909i \(-0.427128\pi\)
−0.729959 + 0.683491i \(0.760461\pi\)
\(354\) 2.19432 + 12.0852i 0.116627 + 0.642323i
\(355\) −2.02609 + 0.357255i −0.107534 + 0.0189611i
\(356\) 1.14237 + 0.958561i 0.0605454 + 0.0508036i
\(357\) 1.07168 + 2.89851i 0.0567193 + 0.153406i
\(358\) 1.96535 11.1461i 0.103872 0.589089i
\(359\) 0.231280 + 0.635437i 0.0122065 + 0.0335371i 0.945646 0.325197i \(-0.105431\pi\)
−0.933440 + 0.358734i \(0.883208\pi\)
\(360\) 4.22367 5.13873i 0.222607 0.270835i
\(361\) −11.4665 + 15.1499i −0.603498 + 0.797364i
\(362\) 7.32860i 0.385183i
\(363\) 7.04536 0.0357956i 0.369785 0.00187878i
\(364\) −5.84295 1.03027i −0.306254 0.0540008i
\(365\) 2.66386 + 3.17466i 0.139433 + 0.166170i
\(366\) 1.47835 + 2.53080i 0.0772746 + 0.132287i
\(367\) −0.213597 1.21137i −0.0111497 0.0632330i 0.978725 0.205175i \(-0.0657764\pi\)
−0.989875 + 0.141942i \(0.954665\pi\)
\(368\) −4.13017 + 2.38455i −0.215300 + 0.124303i
\(369\) −15.0571 + 5.65424i −0.783839 + 0.294348i
\(370\) −4.08565 1.48706i −0.212403 0.0773083i
\(371\) 14.1256 + 5.14128i 0.733363 + 0.266922i
\(372\) −3.01964 3.56176i −0.156561 0.184669i
\(373\) 5.13058 2.96214i 0.265652 0.153374i −0.361258 0.932466i \(-0.617653\pi\)
0.626910 + 0.779092i \(0.284319\pi\)
\(374\) 0.278189 + 1.57769i 0.0143848 + 0.0815803i
\(375\) 10.6580 6.22581i 0.550377 0.321499i
\(376\) −19.1883 22.8677i −0.989560 1.17931i
\(377\) −16.8816 2.97667i −0.869445 0.153307i
\(378\) −10.5138 8.55251i −0.540774 0.439893i
\(379\) 10.4298i 0.535745i 0.963454 + 0.267872i \(0.0863205\pi\)
−0.963454 + 0.267872i \(0.913679\pi\)
\(380\) −3.27585 + 1.62896i −0.168047 + 0.0835641i
\(381\) 6.62451 18.4925i 0.339384 0.947399i
\(382\) 0.346894 + 0.953083i 0.0177486 + 0.0487640i
\(383\) −2.22181 + 12.6005i −0.113529 + 0.643855i 0.873939 + 0.486036i \(0.161558\pi\)
−0.987468 + 0.157820i \(0.949554\pi\)
\(384\) 7.98361 2.95182i 0.407412 0.150634i
\(385\) −4.21586 3.53753i −0.214860 0.180289i
\(386\) 1.80097 0.317559i 0.0916668 0.0161633i
\(387\) −0.723922 + 4.36445i −0.0367990 + 0.221857i
\(388\) −13.0713 7.54673i −0.663596 0.383127i
\(389\) 5.42537 14.9061i 0.275077 0.755768i −0.722825 0.691031i \(-0.757157\pi\)
0.997902 0.0647371i \(-0.0206209\pi\)
\(390\) 1.83496 + 1.52389i 0.0929166 + 0.0771652i
\(391\) 2.81848 4.88175i 0.142537 0.246881i
\(392\) 0.950900 + 1.64701i 0.0480277 + 0.0831864i
\(393\) 31.1249 + 5.32525i 1.57004 + 0.268623i
\(394\) −9.63283 + 11.4800i −0.485295 + 0.578352i
\(395\) −5.42109 + 4.54883i −0.272765 + 0.228877i
\(396\) 5.70623 + 6.66175i 0.286749 + 0.334766i
\(397\) 17.4496 6.35113i 0.875770 0.318754i 0.135269 0.990809i \(-0.456810\pi\)
0.740501 + 0.672055i \(0.234588\pi\)
\(398\) 2.61552 0.131104
\(399\) 9.39152 + 18.6481i 0.470164 + 0.933572i
\(400\) −2.41730 −0.120865
\(401\) −30.7150 + 11.1794i −1.53384 + 0.558271i −0.964557 0.263874i \(-0.915000\pi\)
−0.569279 + 0.822144i \(0.692778\pi\)
\(402\) 13.9009 + 7.93179i 0.693314 + 0.395602i
\(403\) 3.59279 3.01471i 0.178970 0.150173i
\(404\) −1.49618 + 1.78308i −0.0744379 + 0.0887117i
\(405\) −2.45593 6.34345i −0.122036 0.315208i
\(406\) 11.5719 + 20.0431i 0.574304 + 0.994723i
\(407\) 8.02968 13.9078i 0.398017 0.689385i
\(408\) 2.09433 2.52184i 0.103685 0.124849i
\(409\) 6.25333 17.1809i 0.309207 0.849540i −0.683605 0.729853i \(-0.739589\pi\)
0.992812 0.119687i \(-0.0381891\pi\)
\(410\) −3.30965 1.91082i −0.163452 0.0943689i
\(411\) −13.3566 + 2.42517i −0.658835 + 0.119625i
\(412\) 13.1570 2.31994i 0.648201 0.114295i
\(413\) −15.9294 13.3663i −0.783834 0.657715i
\(414\) 0.251206 + 24.7208i 0.0123461 + 1.21496i
\(415\) 1.06514 6.04072i 0.0522857 0.296527i
\(416\) 3.53662 + 9.71678i 0.173397 + 0.476404i
\(417\) 0.137820 + 0.0493710i 0.00674909 + 0.00241771i
\(418\) 3.06325 + 10.3816i 0.149829 + 0.507779i
\(419\) 23.0832i 1.12769i 0.825882 + 0.563843i \(0.190678\pi\)
−0.825882 + 0.563843i \(0.809322\pi\)
\(420\) 0.0204264 + 4.02035i 0.000996704 + 0.196173i
\(421\) −11.4247 2.01448i −0.556804 0.0981796i −0.111837 0.993727i \(-0.535674\pi\)
−0.444967 + 0.895547i \(0.646785\pi\)
\(422\) 7.22007 + 8.60454i 0.351467 + 0.418863i
\(423\) −30.0079 + 5.60619i −1.45904 + 0.272582i
\(424\) −2.76893 15.7034i −0.134471 0.762624i
\(425\) 2.47439 1.42859i 0.120026 0.0692968i
\(426\) 3.39175 2.87551i 0.164331 0.139319i
\(427\) −4.66273 1.69709i −0.225645 0.0821282i
\(428\) −7.12272 2.59246i −0.344290 0.125311i
\(429\) −6.72010 + 5.69726i −0.324449 + 0.275066i
\(430\) −0.910371 + 0.525603i −0.0439020 + 0.0253468i
\(431\) 1.52061 + 8.62379i 0.0732450 + 0.415393i 0.999279 + 0.0379542i \(0.0120841\pi\)
−0.926034 + 0.377439i \(0.876805\pi\)
\(432\) −0.449866 + 2.80025i −0.0216442 + 0.134727i
\(433\) 22.4687 + 26.7771i 1.07977 + 1.28683i 0.955633 + 0.294561i \(0.0951734\pi\)
0.124142 + 0.992264i \(0.460382\pi\)
\(434\) −6.23596 1.09957i −0.299335 0.0527809i
\(435\) 0.0590162 + 11.6157i 0.00282961 + 0.556929i
\(436\) 13.0504i 0.625002i
\(437\) 15.2236 34.9111i 0.728243 1.67003i
\(438\) −8.43238 3.02071i −0.402915 0.144335i
\(439\) 7.13625 + 19.6067i 0.340595 + 0.935777i 0.985222 + 0.171280i \(0.0547902\pi\)
−0.644628 + 0.764497i \(0.722988\pi\)
\(440\) −1.01374 + 5.74918i −0.0483279 + 0.274081i
\(441\) 1.94473 0.0197619i 0.0926063 0.000941041i
\(442\) 0.900467 + 0.755582i 0.0428309 + 0.0359394i
\(443\) −3.66884 + 0.646915i −0.174312 + 0.0307359i −0.260123 0.965576i \(-0.583763\pi\)
0.0858110 + 0.996311i \(0.472652\pi\)
\(444\) −11.5431 + 2.09589i −0.547811 + 0.0994663i
\(445\) 0.878979 + 0.507479i 0.0416676 + 0.0240568i
\(446\) −2.12206 + 5.83032i −0.100483 + 0.276073i
\(447\) −13.2039 + 15.8991i −0.624522 + 0.752002i
\(448\) 8.48988 14.7049i 0.401109 0.694742i
\(449\) −3.50765 6.07543i −0.165536 0.286717i 0.771309 0.636461i \(-0.219602\pi\)
−0.936846 + 0.349743i \(0.886269\pi\)
\(450\) −6.15479 + 10.9151i −0.290140 + 0.514541i
\(451\) 9.07342 10.8133i 0.427251 0.509178i
\(452\) 1.68849 1.41681i 0.0794201 0.0666414i
\(453\) 3.97042 + 2.26551i 0.186547 + 0.106443i
\(454\) 16.7619 6.10085i 0.786677 0.286327i
\(455\) −4.03809 −0.189309
\(456\) 12.1500 18.5183i 0.568978 0.867197i
\(457\) −30.3503 −1.41973 −0.709864 0.704339i \(-0.751243\pi\)
−0.709864 + 0.704339i \(0.751243\pi\)
\(458\) −8.48075 + 3.08674i −0.396280 + 0.144234i
\(459\) −1.19442 3.13226i −0.0557508 0.146201i
\(460\) 5.61785 4.71393i 0.261933 0.219788i
\(461\) −12.4414 + 14.8271i −0.579453 + 0.690565i −0.973542 0.228507i \(-0.926616\pi\)
0.394089 + 0.919072i \(0.371060\pi\)
\(462\) 11.7244 + 2.00596i 0.545469 + 0.0933258i
\(463\) −6.55643 11.3561i −0.304703 0.527761i 0.672492 0.740104i \(-0.265224\pi\)
−0.977195 + 0.212343i \(0.931891\pi\)
\(464\) 2.42157 4.19428i 0.112418 0.194715i
\(465\) −2.44491 2.03045i −0.113380 0.0941597i
\(466\) −5.47631 + 15.0460i −0.253685 + 0.696995i
\(467\) 31.3996 + 18.1286i 1.45300 + 0.838891i 0.998651 0.0519317i \(-0.0165378\pi\)
0.454351 + 0.890823i \(0.349871\pi\)
\(468\) 6.34931 + 1.05315i 0.293497 + 0.0486818i
\(469\) −26.6836 + 4.70503i −1.23213 + 0.217258i
\(470\) −5.55654 4.66249i −0.256304 0.215065i
\(471\) 21.2663 7.86291i 0.979902 0.362304i
\(472\) −3.83034 + 21.7229i −0.176306 + 0.999880i
\(473\) −1.32798 3.64860i −0.0610607 0.167763i
\(474\) 5.15819 14.3992i 0.236924 0.661378i
\(475\) 15.5302 11.4664i 0.712572 0.526114i
\(476\) 1.98132i 0.0908135i
\(477\) −15.3789 5.42114i −0.704153 0.248217i
\(478\) −16.5147 2.91199i −0.755366 0.133191i
\(479\) −7.11537 8.47977i −0.325110 0.387451i 0.578589 0.815619i \(-0.303603\pi\)
−0.903699 + 0.428169i \(0.859159\pi\)
\(480\) 6.05027 3.53423i 0.276156 0.161315i
\(481\) −2.04617 11.6044i −0.0932975 0.529117i
\(482\) 5.42698 3.13327i 0.247192 0.142717i
\(483\) −27.0654 31.9245i −1.23152 1.45261i
\(484\) 4.24473 + 1.54495i 0.192942 + 0.0702252i
\(485\) −9.65318 3.51347i −0.438328 0.159538i
\(486\) 11.4988 + 9.16117i 0.521598 + 0.415559i
\(487\) −16.7012 + 9.64242i −0.756802 + 0.436940i −0.828146 0.560512i \(-0.810604\pi\)
0.0713444 + 0.997452i \(0.477271\pi\)
\(488\) 0.914001 + 5.18356i 0.0413749 + 0.234649i
\(489\) −19.1466 32.7772i −0.865841 1.48224i
\(490\) 0.297040 + 0.353998i 0.0134189 + 0.0159920i
\(491\) 20.1391 + 3.55106i 0.908864 + 0.160257i 0.608488 0.793563i \(-0.291776\pi\)
0.300377 + 0.953821i \(0.402888\pi\)
\(492\) −10.3118 + 0.0523917i −0.464893 + 0.00236200i
\(493\) 5.72446i 0.257817i
\(494\) 6.61816 + 4.39051i 0.297765 + 0.197538i
\(495\) 4.61201 + 3.79075i 0.207295 + 0.170382i
\(496\) 0.453206 + 1.24517i 0.0203495 + 0.0559099i
\(497\) −1.30722 + 7.41360i −0.0586368 + 0.332546i
\(498\) 4.59756 + 12.4348i 0.206022 + 0.557215i
\(499\) 26.4116 + 22.1619i 1.18234 + 0.992104i 0.999961 + 0.00887695i \(0.00282566\pi\)
0.182383 + 0.983227i \(0.441619\pi\)
\(500\) 7.79351 1.37421i 0.348536 0.0614564i
\(501\) 0.394818 + 2.17446i 0.0176392 + 0.0971478i
\(502\) 23.5781 + 13.6128i 1.05234 + 0.607571i
\(503\) 14.2850 39.2477i 0.636936 1.74997i −0.0242047 0.999707i \(-0.507705\pi\)
0.661141 0.750262i \(-0.270072\pi\)
\(504\) −12.3832 20.9537i −0.551590 0.933350i
\(505\) −0.792106 + 1.37197i −0.0352482 + 0.0610517i
\(506\) −10.8486 18.7903i −0.482277 0.835329i
\(507\) 2.70710 15.8224i 0.120226 0.702696i
\(508\) 8.09535 9.64767i 0.359173 0.428046i
\(509\) 2.29929 1.92934i 0.101914 0.0855163i −0.590407 0.807106i \(-0.701033\pi\)
0.692321 + 0.721590i \(0.256588\pi\)
\(510\) 0.394756 0.691831i 0.0174801 0.0306348i
\(511\) 14.2495 5.18640i 0.630361 0.229433i
\(512\) −6.12392 −0.270642
\(513\) −10.3927 20.1244i −0.458849 0.888514i
\(514\) 6.69834 0.295451
\(515\) 8.54453 3.10996i 0.376517 0.137041i
\(516\) −1.40574 + 2.46363i −0.0618841 + 0.108455i
\(517\) 20.5238 17.2215i 0.902635 0.757401i
\(518\) −10.2262 + 12.1871i −0.449313 + 0.535470i
\(519\) −0.882826 + 5.15992i −0.0387518 + 0.226495i
\(520\) 2.14175 + 3.70962i 0.0939219 + 0.162677i
\(521\) 15.2958 26.4931i 0.670121 1.16068i −0.307748 0.951468i \(-0.599575\pi\)
0.977869 0.209216i \(-0.0670913\pi\)
\(522\) −12.7732 21.6136i −0.559067 0.946001i
\(523\) 6.27523 17.2410i 0.274397 0.753898i −0.723576 0.690245i \(-0.757503\pi\)
0.997972 0.0636530i \(-0.0202751\pi\)
\(524\) 17.5331 + 10.1227i 0.765937 + 0.442214i
\(525\) −3.78988 20.8728i −0.165404 0.910964i
\(526\) 1.41740 0.249926i 0.0618016 0.0108973i
\(527\) −1.19979 1.00674i −0.0522637 0.0438545i
\(528\) −0.863206 2.33466i −0.0375662 0.101603i
\(529\) −9.26316 + 52.5340i −0.402746 + 2.28409i
\(530\) −1.32518 3.64091i −0.0575623 0.158151i
\(531\) 17.4262 + 14.3231i 0.756234 + 0.621571i
\(532\) 1.50139 + 13.3023i 0.0650936 + 0.576726i
\(533\) 10.3573i 0.448626i
\(534\) −2.19364 + 0.0111453i −0.0949282 + 0.000482306i
\(535\) −5.08051 0.895830i −0.219649 0.0387301i
\(536\) 18.4749 + 22.0175i 0.797994 + 0.951012i
\(537\) −10.4840 17.9476i −0.452417 0.774495i
\(538\) −2.07490 11.7674i −0.0894554 0.507327i
\(539\) −1.47819 + 0.853434i −0.0636702 + 0.0367600i
\(540\) −0.0664717 4.36073i −0.00286049 0.187656i
\(541\) −11.3765 4.14071i −0.489114 0.178023i 0.0856773 0.996323i \(-0.472695\pi\)
−0.574791 + 0.818300i \(0.694917\pi\)
\(542\) −20.1635 7.33892i −0.866097 0.315234i
\(543\) 8.70343 + 10.2660i 0.373500 + 0.440555i
\(544\) 2.99048 1.72655i 0.128216 0.0740253i
\(545\) 1.54238 + 8.74726i 0.0660682 + 0.374691i
\(546\) 7.53615 4.40220i 0.322517 0.188397i
\(547\) −14.0778 16.7773i −0.601923 0.717344i 0.375927 0.926649i \(-0.377324\pi\)
−0.977850 + 0.209305i \(0.932880\pi\)
\(548\) −8.57132 1.51135i −0.366148 0.0645618i
\(549\) 5.07645 + 1.78947i 0.216658 + 0.0763729i
\(550\) 10.9975i 0.468936i
\(551\) 4.33785 + 38.4332i 0.184799 + 1.63731i
\(552\) −14.9725 + 41.7961i −0.637272 + 1.77896i
\(553\) 8.85635 + 24.3326i 0.376610 + 1.03473i
\(554\) −0.603955 + 3.42520i −0.0256596 + 0.145523i
\(555\) −7.48924 + 2.76903i −0.317901 + 0.117539i
\(556\) 0.0719018 + 0.0603328i 0.00304932 + 0.00255868i
\(557\) −26.7456 + 4.71596i −1.13325 + 0.199822i −0.708649 0.705561i \(-0.750695\pi\)
−0.424596 + 0.905383i \(0.639584\pi\)
\(558\) 6.77638 + 1.12398i 0.286867 + 0.0475821i
\(559\) −2.46726 1.42447i −0.104354 0.0602488i
\(560\) 0.390206 1.07208i 0.0164892 0.0453037i
\(561\) 2.26335 + 1.87966i 0.0955587 + 0.0793595i
\(562\) 4.45416 7.71484i 0.187887 0.325431i
\(563\) 0.218964 + 0.379256i 0.00922822 + 0.0159837i 0.870603 0.491987i \(-0.163729\pi\)
−0.861374 + 0.507971i \(0.830396\pi\)
\(564\) −19.2919 3.30071i −0.812337 0.138985i
\(565\) 0.964292 1.14920i 0.0405681 0.0483472i
\(566\) 11.9338 10.0137i 0.501617 0.420906i
\(567\) −24.8848 + 0.505798i −1.04506 + 0.0212415i
\(568\) 7.50388 2.73119i 0.314856 0.114598i
\(569\) 32.6261 1.36776 0.683878 0.729596i \(-0.260292\pi\)
0.683878 + 0.729596i \(0.260292\pi\)
\(570\) 2.12608 4.94399i 0.0890517 0.207081i
\(571\) −22.3986 −0.937353 −0.468676 0.883370i \(-0.655269\pi\)
−0.468676 + 0.883370i \(0.655269\pi\)
\(572\) −5.30791 + 1.93192i −0.221935 + 0.0807777i
\(573\) 1.61781 + 0.923116i 0.0675851 + 0.0385637i
\(574\) −10.7121 + 8.98853i −0.447115 + 0.375174i
\(575\) −24.8735 + 29.6431i −1.03730 + 1.23620i
\(576\) −9.04705 + 16.0443i −0.376960 + 0.668511i
\(577\) 11.7982 + 20.4351i 0.491165 + 0.850723i 0.999948 0.0101715i \(-0.00323775\pi\)
−0.508783 + 0.860895i \(0.669904\pi\)
\(578\) −7.82039 + 13.5453i −0.325285 + 0.563411i
\(579\) 2.14568 2.58366i 0.0891713 0.107373i
\(580\) −2.54717 + 6.99828i −0.105765 + 0.290588i
\(581\) −19.4374 11.2222i −0.806399 0.465575i
\(582\) 21.8457 3.96652i 0.905532 0.164418i
\(583\) 14.0938 2.48512i 0.583706 0.102923i
\(584\) −12.3223 10.3396i −0.509899 0.427856i
\(585\) 4.38019 0.0445104i 0.181099 0.00184028i
\(586\) 4.24683 24.0849i 0.175435 0.994940i
\(587\) 5.00085 + 13.7397i 0.206407 + 0.567099i 0.999095 0.0425285i \(-0.0135413\pi\)
−0.792688 + 0.609627i \(0.791319\pi\)
\(588\) 1.17387 + 0.420512i 0.0484096 + 0.0173416i
\(589\) −8.81810 5.84996i −0.363343 0.241043i
\(590\) 5.35981i 0.220660i
\(591\) 0.139828 + 27.5212i 0.00575175 + 1.13207i
\(592\) 3.27861 + 0.578107i 0.134750 + 0.0237601i
\(593\) 25.5787 + 30.4835i 1.05039 + 1.25181i 0.966861 + 0.255302i \(0.0821749\pi\)
0.0835298 + 0.996505i \(0.473381\pi\)
\(594\) −12.7398 2.04667i −0.522720 0.0839759i
\(595\) 0.234164 + 1.32801i 0.00959978 + 0.0544431i
\(596\) −11.4753 + 6.62525i −0.470045 + 0.271381i
\(597\) 3.66384 3.10618i 0.149951 0.127128i
\(598\) −14.9600 5.44500i −0.611761 0.222663i
\(599\) −38.7502 14.1039i −1.58329 0.576270i −0.607374 0.794416i \(-0.707777\pi\)
−0.975916 + 0.218146i \(0.929999\pi\)
\(600\) −17.1648 + 14.5522i −0.700750 + 0.594093i
\(601\) −33.4472 + 19.3108i −1.36434 + 0.787703i −0.990198 0.139669i \(-0.955396\pi\)
−0.374143 + 0.927371i \(0.622063\pi\)
\(602\) 0.667926 + 3.78800i 0.0272226 + 0.154387i
\(603\) 28.8923 5.39776i 1.17658 0.219814i
\(604\) 1.88392 + 2.24517i 0.0766556 + 0.0913546i
\(605\) 3.02769 + 0.533863i 0.123093 + 0.0217046i
\(606\) −0.0173963 3.42398i −0.000706678 0.139090i
\(607\) 14.1262i 0.573366i −0.958026 0.286683i \(-0.907447\pi\)
0.958026 0.286683i \(-0.0925526\pi\)
\(608\) 18.7693 13.8579i 0.761194 0.562013i
\(609\) 40.0132 + 14.3338i 1.62142 + 0.580835i
\(610\) 0.437432 + 1.20183i 0.0177111 + 0.0486608i
\(611\) 3.41364 19.3597i 0.138101 0.783210i
\(612\) −0.0218393 2.14917i −0.000882802 0.0868751i
\(613\) −3.94393 3.30935i −0.159294 0.133663i 0.559657 0.828724i \(-0.310933\pi\)
−0.718951 + 0.695061i \(0.755377\pi\)
\(614\) −11.0586 + 1.94992i −0.446287 + 0.0786925i
\(615\) −6.90547 + 1.25383i −0.278456 + 0.0505593i
\(616\) 18.4993 + 10.6806i 0.745358 + 0.430333i
\(617\) −0.607820 + 1.66997i −0.0244699 + 0.0672305i −0.951326 0.308186i \(-0.900278\pi\)
0.926856 + 0.375416i \(0.122500\pi\)
\(618\) −12.5560 + 15.1190i −0.505076 + 0.608174i
\(619\) 11.8880 20.5906i 0.477819 0.827606i −0.521858 0.853032i \(-0.674761\pi\)
0.999677 + 0.0254261i \(0.00809425\pi\)
\(620\) −1.01881 1.76463i −0.0409163 0.0708692i
\(621\) 29.7102 + 34.3308i 1.19223 + 1.37765i
\(622\) 8.28406 9.87256i 0.332161 0.395853i
\(623\) 2.84493 2.38718i 0.113980 0.0956405i
\(624\) −1.58631 0.905144i −0.0635034 0.0362348i
\(625\) −15.7470 + 5.73145i −0.629881 + 0.229258i
\(626\) 0.503622 0.0201288
\(627\) 16.6202 + 10.9047i 0.663745 + 0.435491i
\(628\) 14.5369 0.580085
\(629\) −3.69770 + 1.34585i −0.147437 + 0.0536627i
\(630\) −3.84735 4.49161i −0.153282 0.178950i
\(631\) 21.9849 18.4475i 0.875205 0.734385i −0.0899821 0.995943i \(-0.528681\pi\)
0.965188 + 0.261559i \(0.0842365\pi\)
\(632\) 17.6560 21.0416i 0.702318 0.836990i
\(633\) 20.3327 + 3.47878i 0.808151 + 0.138269i
\(634\) −3.38912 5.87013i −0.134599 0.233132i
\(635\) 4.28582 7.42326i 0.170078 0.294583i
\(636\) −8.04286 6.67942i −0.318920 0.264856i
\(637\) −0.428347 + 1.17687i −0.0169717 + 0.0466294i
\(638\) 19.0819 + 11.0170i 0.755461 + 0.436166i
\(639\) 1.33625 8.05608i 0.0528611 0.318694i
\(640\) 3.65784 0.644976i 0.144589 0.0254949i
\(641\) −23.9818 20.1231i −0.947225 0.794816i 0.0316033 0.999500i \(-0.489939\pi\)
−0.978828 + 0.204685i \(0.934383\pi\)
\(642\) 10.4582 3.86675i 0.412751 0.152608i
\(643\) −2.95925 + 16.7827i −0.116701 + 0.661846i 0.869192 + 0.494474i \(0.164639\pi\)
−0.985894 + 0.167372i \(0.946472\pi\)
\(644\) −9.17779 25.2158i −0.361656 0.993640i
\(645\) −0.651050 + 1.81742i −0.0256351 + 0.0715610i
\(646\) 1.06013 2.43112i 0.0417103 0.0956511i
\(647\) 3.40639i 0.133919i −0.997756 0.0669596i \(-0.978670\pi\)
0.997756 0.0669596i \(-0.0213299\pi\)
\(648\) 13.6632 + 22.5923i 0.536742 + 0.887510i
\(649\) −19.4964 3.43774i −0.765299 0.134943i
\(650\) −5.18689 6.18149i −0.203446 0.242458i
\(651\) −10.0412 + 5.86553i −0.393547 + 0.229888i
\(652\) −4.22619 23.9679i −0.165510 0.938655i
\(653\) 4.29421 2.47926i 0.168045 0.0970211i −0.413618 0.910450i \(-0.635735\pi\)
0.581664 + 0.813429i \(0.302402\pi\)
\(654\) −12.4145 14.6432i −0.485444 0.572596i
\(655\) 12.9482 + 4.71276i 0.505928 + 0.184143i
\(656\) 2.74979 + 1.00084i 0.107361 + 0.0390763i
\(657\) −15.3995 + 5.78285i −0.600793 + 0.225610i
\(658\) −22.9854 + 13.2706i −0.896063 + 0.517342i
\(659\) −2.99511 16.9861i −0.116673 0.661686i −0.985908 0.167287i \(-0.946499\pi\)
0.869235 0.494399i \(-0.164612\pi\)
\(660\) 1.93062 + 3.30503i 0.0751492 + 0.128648i
\(661\) −15.2930 18.2255i −0.594830 0.708891i 0.381696 0.924288i \(-0.375340\pi\)
−0.976527 + 0.215397i \(0.930896\pi\)
\(662\) −11.6201 2.04893i −0.451627 0.0796340i
\(663\) 2.15871 0.0109678i 0.0838374 0.000425956i
\(664\) 23.8084i 0.923943i
\(665\) 2.57847 + 8.73861i 0.0999889 + 0.338869i
\(666\) 10.9582 13.3323i 0.424621 0.516615i
\(667\) −26.5166 72.8539i −1.02673 2.82091i
\(668\) −0.246049 + 1.39541i −0.00951991 + 0.0539901i
\(669\) 3.95147 + 10.6873i 0.152773 + 0.413195i
\(670\) 5.34996 + 4.48915i 0.206687 + 0.173431i
\(671\) −4.65225 + 0.820317i −0.179598 + 0.0316680i
\(672\) −4.58034 25.2262i −0.176690 0.973123i
\(673\) 9.66092 + 5.57774i 0.372401 + 0.215006i 0.674507 0.738268i \(-0.264356\pi\)
−0.302106 + 0.953274i \(0.597690\pi\)
\(674\) 5.08631 13.9745i 0.195917 0.538278i
\(675\) 4.34103 + 22.5993i 0.167086 + 0.869849i
\(676\) 5.14591 8.91298i 0.197920 0.342807i
\(677\) 12.7624 + 22.1050i 0.490497 + 0.849566i 0.999940 0.0109384i \(-0.00348188\pi\)
−0.509443 + 0.860504i \(0.670149\pi\)
\(678\) −0.546804 + 3.19595i −0.0209999 + 0.122740i
\(679\) −24.1614 + 28.7945i −0.927230 + 1.10503i
\(680\) 1.09579 0.919473i 0.0420215 0.0352602i
\(681\) 16.2349 28.4526i 0.622123 1.09030i
\(682\) −5.66493 + 2.06187i −0.216921 + 0.0789529i
\(683\) 19.7577 0.756007 0.378004 0.925804i \(-0.376611\pi\)
0.378004 + 0.925804i \(0.376611\pi\)
\(684\) −1.77521 14.4127i −0.0678770 0.551082i
\(685\) −5.92368 −0.226332
\(686\) −15.5680 + 5.66630i −0.594390 + 0.216340i
\(687\) −8.21411 + 14.3957i −0.313388 + 0.549229i
\(688\) 0.616601 0.517389i 0.0235077 0.0197253i
\(689\) 6.74976 8.04406i 0.257146 0.306454i
\(690\) −1.81929 + 10.6334i −0.0692592 + 0.404805i
\(691\) 6.70762 + 11.6179i 0.255170 + 0.441967i 0.964942 0.262465i \(-0.0845353\pi\)
−0.709772 + 0.704432i \(0.751202\pi\)
\(692\) −1.67816 + 2.90666i −0.0637941 + 0.110495i
\(693\) 18.8059 11.1139i 0.714378 0.422183i
\(694\) −3.51052 + 9.64508i −0.133258 + 0.366122i
\(695\) 0.0553238 + 0.0319412i 0.00209855 + 0.00121160i
\(696\) −8.05461 44.3608i −0.305309 1.68149i
\(697\) −3.40622 + 0.600608i −0.129020 + 0.0227497i
\(698\) 22.1568 + 18.5917i 0.838646 + 0.703708i
\(699\) 10.1974 + 27.5803i 0.385701 + 1.04318i
\(700\) 2.36183 13.3946i 0.0892690 0.506269i
\(701\) 14.9221 + 40.9982i 0.563601 + 1.54848i 0.814318 + 0.580420i \(0.197111\pi\)
−0.250717 + 0.968060i \(0.580666\pi\)
\(702\) −8.12607 + 4.85821i −0.306699 + 0.183361i
\(703\) −23.8059 + 11.8379i −0.897858 + 0.446474i
\(704\) 16.1655i 0.609260i
\(705\) −13.3208 + 0.0676796i −0.501691 + 0.00254896i
\(706\) 10.1360 + 1.78725i 0.381474 + 0.0672641i
\(707\) 3.72607 + 4.44056i 0.140133 + 0.167004i
\(708\) 7.29473 + 12.4879i 0.274153 + 0.469324i
\(709\) −2.60312 14.7630i −0.0977623 0.554438i −0.993866 0.110593i \(-0.964725\pi\)
0.896104 0.443845i \(-0.146386\pi\)
\(710\) 1.68040 0.970180i 0.0630643 0.0364102i
\(711\) −9.87485 26.2964i −0.370336 0.986192i
\(712\) −3.70191 1.34739i −0.138735 0.0504954i
\(713\) 19.9329 + 7.25497i 0.746491 + 0.271701i
\(714\) −1.88476 2.22314i −0.0705355 0.0831988i
\(715\) −3.32938 + 1.92222i −0.124512 + 0.0718870i
\(716\) −2.31410 13.1239i −0.0864820 0.490464i
\(717\) −26.5923 + 15.5337i −0.993106 + 0.580117i
\(718\) −0.409948 0.488557i −0.0152991 0.0182328i
\(719\) −41.3087 7.28384i −1.54056 0.271642i −0.662082 0.749432i \(-0.730327\pi\)
−0.878474 + 0.477790i \(0.841438\pi\)
\(720\) −0.411446 + 1.16721i −0.0153337 + 0.0434992i
\(721\) 33.2715i 1.23910i
\(722\) 5.27532 17.1255i 0.196327 0.637345i
\(723\) 3.88110 10.8342i 0.144340 0.402928i
\(724\) 2.95130 + 8.10864i 0.109684 + 0.301355i
\(725\) 6.82386 38.7000i 0.253432 1.43728i
\(726\) −6.23246 + 2.30436i −0.231308 + 0.0855228i
\(727\) 11.3609 + 9.53290i 0.421351 + 0.353556i 0.828677 0.559727i \(-0.189094\pi\)
−0.407326 + 0.913283i \(0.633539\pi\)
\(728\) 15.4355 2.72169i 0.572077 0.100873i
\(729\) 26.9875 0.822945i 0.999535 0.0304794i
\(730\) −3.38493 1.95429i −0.125282 0.0723314i
\(731\) −0.325394 + 0.894013i −0.0120351 + 0.0330663i
\(732\) 2.65488 + 2.20482i 0.0981272 + 0.0814925i
\(733\) −0.804203 + 1.39292i −0.0297039 + 0.0514487i −0.880495 0.474055i \(-0.842790\pi\)
0.850791 + 0.525504i \(0.176123\pi\)
\(734\) 0.580056 + 1.00469i 0.0214103 + 0.0370836i
\(735\) 0.836503 + 0.143120i 0.0308549 + 0.00527905i
\(736\) −30.0614 + 35.8258i −1.10808 + 1.32056i
\(737\) −19.7607 + 16.5812i −0.727896 + 0.610778i
\(738\) 11.5205 9.86810i 0.424077 0.363250i
\(739\) 1.21979 0.443965i 0.0448705 0.0163315i −0.319487 0.947591i \(-0.603511\pi\)
0.364358 + 0.931259i \(0.381288\pi\)
\(740\) −5.11937 −0.188192
\(741\) 14.4849 1.70945i 0.532118 0.0627983i
\(742\) −14.1773 −0.520466
\(743\) 8.68786 3.16212i 0.318727 0.116007i −0.177703 0.984084i \(-0.556866\pi\)
0.496429 + 0.868077i \(0.334644\pi\)
\(744\) 10.7141 + 6.11344i 0.392799 + 0.224129i
\(745\) −6.90847 + 5.79689i −0.253107 + 0.212382i
\(746\) −3.59152 + 4.28021i −0.131495 + 0.156710i
\(747\) 21.2078 + 11.9587i 0.775953 + 0.437544i
\(748\) 0.943151 + 1.63358i 0.0344850 + 0.0597298i
\(749\) −9.43835 + 16.3477i −0.344870 + 0.597332i
\(750\) −7.43747 + 8.95565i −0.271578 + 0.327014i
\(751\) 9.38727 25.7913i 0.342546 0.941138i −0.642107 0.766615i \(-0.721939\pi\)
0.984653 0.174523i \(-0.0558383\pi\)
\(752\) 4.80999 + 2.77705i 0.175402 + 0.101268i
\(753\) 49.1951 8.93236i 1.79277 0.325513i
\(754\) 15.9216 2.80741i 0.579831 0.102240i
\(755\) 1.52807 + 1.28221i 0.0556123 + 0.0466643i
\(756\) −15.0771 5.22878i −0.548349 0.190169i
\(757\) 3.02250 17.1414i 0.109855 0.623016i −0.879315 0.476240i \(-0.841999\pi\)
0.989170 0.146776i \(-0.0468897\pi\)
\(758\) −3.36437 9.24353i −0.122199 0.335740i
\(759\) −37.5120 13.4378i −1.36160 0.487762i
\(760\) 6.66019 7.00357i 0.241590 0.254046i
\(761\) 8.35519i 0.302875i −0.988467 0.151438i \(-0.951610\pi\)
0.988467 0.151438i \(-0.0483903\pi\)
\(762\) 0.0941258 + 18.5260i 0.00340982 + 0.671127i
\(763\) 32.0068 + 5.64366i 1.15872 + 0.204314i
\(764\) 0.767633 + 0.914829i 0.0277720 + 0.0330974i