Properties

Label 966.2.s.a.97.14
Level $966$
Weight $2$
Character 966.97
Analytic conductor $7.714$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.s (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 97.14
Character \(\chi\) \(=\) 966.97
Dual form 966.2.s.a.727.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 - 0.281733i) q^{2} +(0.755750 + 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.288108 - 2.00384i) q^{5} +(-0.540641 - 0.841254i) q^{6} +(1.55640 - 2.13954i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(q+(-0.959493 - 0.281733i) q^{2} +(0.755750 + 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.288108 - 2.00384i) q^{5} +(-0.540641 - 0.841254i) q^{6} +(1.55640 - 2.13954i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +(-0.840984 + 1.84150i) q^{10} +(1.41556 + 4.82096i) q^{11} +(0.281733 + 0.959493i) q^{12} +(-2.71849 - 1.24149i) q^{13} +(-2.09613 + 1.61438i) q^{14} +(1.52997 - 1.32573i) q^{15} +(0.415415 + 0.909632i) q^{16} +(2.66541 - 1.71295i) q^{17} +(0.142315 - 0.989821i) q^{18} +(5.50906 + 3.54046i) q^{19} +(1.32573 - 1.52997i) q^{20} +(2.57735 - 0.597727i) q^{21} -5.02449i q^{22} +(1.21115 - 4.64038i) q^{23} -1.00000i q^{24} +(0.865112 + 0.254020i) q^{25} +(2.25860 + 1.95709i) q^{26} +(-0.540641 + 0.841254i) q^{27} +(2.46605 - 0.958437i) q^{28} +(-7.83543 + 5.03553i) q^{29} +(-1.84150 + 0.840984i) q^{30} +(6.73891 - 5.83930i) q^{31} +(-0.142315 - 0.989821i) q^{32} +(-2.08725 + 4.57044i) q^{33} +(-3.04004 + 0.892635i) q^{34} +(-3.83887 - 3.73519i) q^{35} +(-0.415415 + 0.909632i) q^{36} +(8.87698 - 1.27632i) q^{37} +(-4.28844 - 4.94913i) q^{38} +(-1.24149 - 2.71849i) q^{39} +(-1.70307 + 1.09450i) q^{40} +(-3.87631 - 0.557329i) q^{41} +(-2.64135 - 0.152608i) q^{42} +(-6.98924 - 6.05621i) q^{43} +(-1.41556 + 4.82096i) q^{44} +2.02444 q^{45} +(-2.46943 + 4.11119i) q^{46} -8.39447i q^{47} +(-0.281733 + 0.959493i) q^{48} +(-2.15523 - 6.65996i) q^{49} +(-0.758504 - 0.487461i) q^{50} +(3.13613 + 0.450907i) q^{51} +(-1.61574 - 2.51413i) q^{52} +(-3.30382 + 1.50881i) q^{53} +(0.755750 - 0.654861i) q^{54} +(10.0683 - 1.44760i) q^{55} +(-2.63618 + 0.224848i) q^{56} +(1.84496 + 6.28337i) q^{57} +(8.93671 - 2.62406i) q^{58} +(0.0236635 + 0.0108068i) q^{59} +(2.00384 - 0.288108i) q^{60} +(5.64895 + 6.51924i) q^{61} +(-8.11105 + 3.70419i) q^{62} +(2.33926 + 1.23607i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(-3.27096 + 5.08972i) q^{65} +(3.29034 - 3.79726i) q^{66} +(-0.852984 + 2.90500i) q^{67} +3.16838 q^{68} +(3.95413 - 2.71383i) q^{69} +(2.63104 + 4.66542i) q^{70} +(7.65856 + 2.24876i) q^{71} +(0.654861 - 0.755750i) q^{72} +(6.38080 - 9.92872i) q^{73} +(-8.87698 - 1.27632i) q^{74} +(0.487461 + 0.758504i) q^{75} +(2.72040 + 5.95685i) q^{76} +(12.5178 + 4.47471i) q^{77} +(0.425316 + 2.95814i) q^{78} +(8.35048 + 3.81354i) q^{79} +(1.94244 - 0.570351i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(3.56227 + 1.62683i) q^{82} +(-0.168430 - 1.17146i) q^{83} +(2.49136 + 0.890580i) q^{84} +(-2.66455 - 5.83456i) q^{85} +(4.99990 + 7.77999i) q^{86} +(-9.21919 - 1.32552i) q^{87} +(2.71645 - 4.22687i) q^{88} +(-0.733224 + 0.846186i) q^{89} +(-1.94244 - 0.570351i) q^{90} +(-6.88728 + 3.88404i) q^{91} +(3.52766 - 3.24894i) q^{92} +8.91685 q^{93} +(-2.36499 + 8.05443i) q^{94} +(8.68170 - 10.0192i) q^{95} +(0.540641 - 0.841254i) q^{96} +(1.87253 - 13.0238i) q^{97} +(0.191598 + 6.99738i) q^{98} +(-4.57044 + 2.08725i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160q - 16q^{2} - 16q^{4} - 16q^{8} + 16q^{9} + O(q^{10}) \) \( 160q - 16q^{2} - 16q^{4} - 16q^{8} + 16q^{9} - 22q^{14} - 16q^{16} + 16q^{18} - 36q^{23} + 96q^{25} + 22q^{28} - 20q^{29} - 16q^{32} - 50q^{35} + 16q^{36} + 22q^{37} + 4q^{39} - 110q^{43} + 8q^{46} - 36q^{50} + 22q^{51} - 88q^{53} + 22q^{57} + 24q^{58} - 16q^{64} - 72q^{70} + 48q^{71} + 16q^{72} - 22q^{74} + 24q^{77} + 4q^{78} + 88q^{79} - 16q^{81} + 22q^{84} + 76q^{85} + 44q^{86} - 44q^{88} + 8q^{92} - 14q^{95} + 22q^{98} - 22q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.959493 0.281733i −0.678464 0.199215i
\(3\) 0.755750 + 0.654861i 0.436332 + 0.378084i
\(4\) 0.841254 + 0.540641i 0.420627 + 0.270320i
\(5\) 0.288108 2.00384i 0.128846 0.896143i −0.818175 0.574970i \(-0.805014\pi\)
0.947021 0.321173i \(-0.104077\pi\)
\(6\) −0.540641 0.841254i −0.220716 0.343440i
\(7\) 1.55640 2.13954i 0.588265 0.808668i
\(8\) −0.654861 0.755750i −0.231528 0.267198i
\(9\) 0.142315 + 0.989821i 0.0474383 + 0.329940i
\(10\) −0.840984 + 1.84150i −0.265942 + 0.582333i
\(11\) 1.41556 + 4.82096i 0.426808 + 1.45358i 0.839828 + 0.542853i \(0.182656\pi\)
−0.413019 + 0.910722i \(0.635526\pi\)
\(12\) 0.281733 + 0.959493i 0.0813292 + 0.276982i
\(13\) −2.71849 1.24149i −0.753973 0.344328i 0.00107335 0.999999i \(-0.499658\pi\)
−0.755046 + 0.655672i \(0.772386\pi\)
\(14\) −2.09613 + 1.61438i −0.560215 + 0.431461i
\(15\) 1.52997 1.32573i 0.395037 0.342301i
\(16\) 0.415415 + 0.909632i 0.103854 + 0.227408i
\(17\) 2.66541 1.71295i 0.646457 0.415452i −0.175913 0.984406i \(-0.556288\pi\)
0.822370 + 0.568953i \(0.192651\pi\)
\(18\) 0.142315 0.989821i 0.0335439 0.233303i
\(19\) 5.50906 + 3.54046i 1.26387 + 0.812237i 0.988808 0.149191i \(-0.0476669\pi\)
0.275057 + 0.961428i \(0.411303\pi\)
\(20\) 1.32573 1.52997i 0.296442 0.342112i
\(21\) 2.57735 0.597727i 0.562423 0.130435i
\(22\) 5.02449i 1.07123i
\(23\) 1.21115 4.64038i 0.252542 0.967586i
\(24\) 1.00000i 0.204124i
\(25\) 0.865112 + 0.254020i 0.173022 + 0.0508040i
\(26\) 2.25860 + 1.95709i 0.442948 + 0.383817i
\(27\) −0.540641 + 0.841254i −0.104046 + 0.161899i
\(28\) 2.46605 0.958437i 0.466039 0.181128i
\(29\) −7.83543 + 5.03553i −1.45500 + 0.935074i −0.456021 + 0.889969i \(0.650726\pi\)
−0.998982 + 0.0451046i \(0.985638\pi\)
\(30\) −1.84150 + 0.840984i −0.336210 + 0.153542i
\(31\) 6.73891 5.83930i 1.21034 1.04877i 0.212917 0.977070i \(-0.431704\pi\)
0.997426 0.0716984i \(-0.0228419\pi\)
\(32\) −0.142315 0.989821i −0.0251579 0.174977i
\(33\) −2.08725 + 4.57044i −0.363343 + 0.795611i
\(34\) −3.04004 + 0.892635i −0.521362 + 0.153086i
\(35\) −3.83887 3.73519i −0.648887 0.631363i
\(36\) −0.415415 + 0.909632i −0.0692358 + 0.151605i
\(37\) 8.87698 1.27632i 1.45937 0.209825i 0.633522 0.773724i \(-0.281608\pi\)
0.825844 + 0.563899i \(0.190699\pi\)
\(38\) −4.28844 4.94913i −0.695677 0.802854i
\(39\) −1.24149 2.71849i −0.198798 0.435306i
\(40\) −1.70307 + 1.09450i −0.269279 + 0.173055i
\(41\) −3.87631 0.557329i −0.605377 0.0870401i −0.167191 0.985924i \(-0.553470\pi\)
−0.438186 + 0.898884i \(0.644379\pi\)
\(42\) −2.64135 0.152608i −0.407569 0.0235480i
\(43\) −6.98924 6.05621i −1.06585 0.923564i −0.0685974 0.997644i \(-0.521852\pi\)
−0.997252 + 0.0740805i \(0.976398\pi\)
\(44\) −1.41556 + 4.82096i −0.213404 + 0.726788i
\(45\) 2.02444 0.301786
\(46\) −2.46943 + 4.11119i −0.364098 + 0.606162i
\(47\) 8.39447i 1.22446i −0.790680 0.612230i \(-0.790273\pi\)
0.790680 0.612230i \(-0.209727\pi\)
\(48\) −0.281733 + 0.959493i −0.0406646 + 0.138491i
\(49\) −2.15523 6.65996i −0.307889 0.951422i
\(50\) −0.758504 0.487461i −0.107269 0.0689373i
\(51\) 3.13613 + 0.450907i 0.439146 + 0.0631396i
\(52\) −1.61574 2.51413i −0.224062 0.348648i
\(53\) −3.30382 + 1.50881i −0.453815 + 0.207250i −0.629190 0.777251i \(-0.716613\pi\)
0.175375 + 0.984502i \(0.443886\pi\)
\(54\) 0.755750 0.654861i 0.102844 0.0891153i
\(55\) 10.0683 1.44760i 1.35760 0.195194i
\(56\) −2.63618 + 0.224848i −0.352274 + 0.0300465i
\(57\) 1.84496 + 6.28337i 0.244371 + 0.832252i
\(58\) 8.93671 2.62406i 1.17345 0.344555i
\(59\) 0.0236635 + 0.0108068i 0.00308073 + 0.00140692i 0.416955 0.908927i \(-0.363097\pi\)
−0.413874 + 0.910334i \(0.635825\pi\)
\(60\) 2.00384 0.288108i 0.258694 0.0371946i
\(61\) 5.64895 + 6.51924i 0.723274 + 0.834703i 0.991697 0.128598i \(-0.0410478\pi\)
−0.268422 + 0.963301i \(0.586502\pi\)
\(62\) −8.11105 + 3.70419i −1.03010 + 0.470433i
\(63\) 2.33926 + 1.23607i 0.294719 + 0.155730i
\(64\) −0.142315 + 0.989821i −0.0177894 + 0.123728i
\(65\) −3.27096 + 5.08972i −0.405713 + 0.631302i
\(66\) 3.29034 3.79726i 0.405013 0.467410i
\(67\) −0.852984 + 2.90500i −0.104209 + 0.354902i −0.995045 0.0994216i \(-0.968301\pi\)
0.890837 + 0.454323i \(0.150119\pi\)
\(68\) 3.16838 0.384222
\(69\) 3.95413 2.71383i 0.476021 0.326707i
\(70\) 2.63104 + 4.66542i 0.314469 + 0.557625i
\(71\) 7.65856 + 2.24876i 0.908904 + 0.266878i 0.702579 0.711605i \(-0.252032\pi\)
0.206324 + 0.978484i \(0.433850\pi\)
\(72\) 0.654861 0.755750i 0.0771761 0.0890659i
\(73\) 6.38080 9.92872i 0.746816 1.16207i −0.234956 0.972006i \(-0.575495\pi\)
0.981772 0.190063i \(-0.0608691\pi\)
\(74\) −8.87698 1.27632i −1.03193 0.148369i
\(75\) 0.487461 + 0.758504i 0.0562871 + 0.0875844i
\(76\) 2.72040 + 5.95685i 0.312051 + 0.683297i
\(77\) 12.5178 + 4.47471i 1.42654 + 0.509941i
\(78\) 0.425316 + 2.95814i 0.0481576 + 0.334943i
\(79\) 8.35048 + 3.81354i 0.939503 + 0.429056i 0.825486 0.564422i \(-0.190901\pi\)
0.114016 + 0.993479i \(0.463628\pi\)
\(80\) 1.94244 0.570351i 0.217171 0.0637672i
\(81\) −0.959493 + 0.281733i −0.106610 + 0.0313036i
\(82\) 3.56227 + 1.62683i 0.393387 + 0.179654i
\(83\) −0.168430 1.17146i −0.0184876 0.128584i 0.978487 0.206306i \(-0.0661443\pi\)
−0.996975 + 0.0777223i \(0.975235\pi\)
\(84\) 2.49136 + 0.890580i 0.271830 + 0.0971702i
\(85\) −2.66455 5.83456i −0.289011 0.632847i
\(86\) 4.99990 + 7.77999i 0.539153 + 0.838938i
\(87\) −9.21919 1.32552i −0.988401 0.142111i
\(88\) 2.71645 4.22687i 0.289574 0.450586i
\(89\) −0.733224 + 0.846186i −0.0777216 + 0.0896955i −0.793279 0.608859i \(-0.791628\pi\)
0.715557 + 0.698554i \(0.246173\pi\)
\(90\) −1.94244 0.570351i −0.204751 0.0601203i
\(91\) −6.88728 + 3.88404i −0.721983 + 0.407158i
\(92\) 3.52766 3.24894i 0.367784 0.338725i
\(93\) 8.91685 0.924635
\(94\) −2.36499 + 8.05443i −0.243931 + 0.830751i
\(95\) 8.68170 10.0192i 0.890724 1.02795i
\(96\) 0.540641 0.841254i 0.0551789 0.0858601i
\(97\) 1.87253 13.0238i 0.190127 1.32236i −0.641541 0.767089i \(-0.721705\pi\)
0.831668 0.555273i \(-0.187386\pi\)
\(98\) 0.191598 + 6.99738i 0.0193543 + 0.706842i
\(99\) −4.57044 + 2.08725i −0.459346 + 0.209776i
\(100\) 0.590445 + 0.681410i 0.0590445 + 0.0681410i
\(101\) −1.06230 + 0.152735i −0.105703 + 0.0151977i −0.194963 0.980811i \(-0.562459\pi\)
0.0892605 + 0.996008i \(0.471550\pi\)
\(102\) −2.88206 1.31619i −0.285366 0.130322i
\(103\) −14.7740 + 4.33804i −1.45572 + 0.427439i −0.911430 0.411455i \(-0.865021\pi\)
−0.544295 + 0.838894i \(0.683203\pi\)
\(104\) 0.841974 + 2.86750i 0.0825624 + 0.281182i
\(105\) −0.455191 5.33679i −0.0444221 0.520818i
\(106\) 3.59508 0.516894i 0.349185 0.0502052i
\(107\) −6.71216 + 5.81612i −0.648889 + 0.562266i −0.915889 0.401431i \(-0.868513\pi\)
0.267000 + 0.963696i \(0.413968\pi\)
\(108\) −0.909632 + 0.415415i −0.0875294 + 0.0399733i
\(109\) 7.38075 + 11.4847i 0.706947 + 1.10003i 0.990019 + 0.140933i \(0.0450101\pi\)
−0.283072 + 0.959099i \(0.591353\pi\)
\(110\) −10.0683 1.44760i −0.959971 0.138023i
\(111\) 7.54458 + 4.84861i 0.716100 + 0.460209i
\(112\) 2.59274 + 0.526958i 0.244991 + 0.0497928i
\(113\) −0.771575 + 2.62774i −0.0725836 + 0.247197i −0.987791 0.155787i \(-0.950209\pi\)
0.915207 + 0.402984i \(0.132027\pi\)
\(114\) 6.54863i 0.613336i
\(115\) −8.94962 3.76387i −0.834556 0.350983i
\(116\) −9.31400 −0.864783
\(117\) 0.841974 2.86750i 0.0778405 0.265101i
\(118\) −0.0196604 0.0170358i −0.00180988 0.00156827i
\(119\) 0.483521 8.36878i 0.0443243 0.767165i
\(120\) −2.00384 0.288108i −0.182924 0.0263006i
\(121\) −11.9841 + 7.70171i −1.08946 + 0.700155i
\(122\) −3.58345 7.84666i −0.324430 0.710403i
\(123\) −2.56454 2.95964i −0.231237 0.266862i
\(124\) 8.82609 1.26900i 0.792606 0.113960i
\(125\) 4.96318 10.8678i 0.443920 0.972050i
\(126\) −1.89626 1.84505i −0.168932 0.164370i
\(127\) 7.65856 2.24876i 0.679588 0.199545i 0.0763196 0.997083i \(-0.475683\pi\)
0.603268 + 0.797538i \(0.293865\pi\)
\(128\) 0.415415 0.909632i 0.0367178 0.0804009i
\(129\) −1.31614 9.15396i −0.115880 0.805961i
\(130\) 4.57241 3.96201i 0.401027 0.347492i
\(131\) −1.70730 + 0.779698i −0.149168 + 0.0681225i −0.488600 0.872508i \(-0.662492\pi\)
0.339433 + 0.940630i \(0.389765\pi\)
\(132\) −4.22687 + 2.71645i −0.367902 + 0.236436i
\(133\) 16.1493 6.27646i 1.40032 0.544238i
\(134\) 1.63686 2.54701i 0.141404 0.220028i
\(135\) 1.52997 + 1.32573i 0.131679 + 0.114100i
\(136\) −3.04004 0.892635i −0.260681 0.0765428i
\(137\) 8.00531i 0.683940i 0.939711 + 0.341970i \(0.111094\pi\)
−0.939711 + 0.341970i \(0.888906\pi\)
\(138\) −4.55853 + 1.48990i −0.388048 + 0.126828i
\(139\) 17.6167i 1.49423i 0.664697 + 0.747113i \(0.268561\pi\)
−0.664697 + 0.747113i \(0.731439\pi\)
\(140\) −1.21006 5.21769i −0.102269 0.440975i
\(141\) 5.49721 6.34412i 0.462948 0.534271i
\(142\) −6.71479 4.31533i −0.563492 0.362135i
\(143\) 2.13700 14.8631i 0.178705 1.24292i
\(144\) −0.841254 + 0.540641i −0.0701045 + 0.0450534i
\(145\) 7.83292 + 17.1517i 0.650488 + 1.42437i
\(146\) −8.91958 + 7.72886i −0.738189 + 0.639645i
\(147\) 2.73253 6.44463i 0.225375 0.531544i
\(148\) 8.15782 + 3.72555i 0.670568 + 0.306238i
\(149\) −3.00377 10.2299i −0.246079 0.838067i −0.986195 0.165588i \(-0.947048\pi\)
0.740116 0.672479i \(-0.234770\pi\)
\(150\) −0.254020 0.865112i −0.0207406 0.0706361i
\(151\) −1.26402 + 2.76782i −0.102864 + 0.225242i −0.954066 0.299598i \(-0.903147\pi\)
0.851201 + 0.524840i \(0.175875\pi\)
\(152\) −0.931968 6.48198i −0.0755926 0.525758i
\(153\) 2.07485 + 2.39450i 0.167741 + 0.193584i
\(154\) −10.7501 7.82013i −0.866266 0.630164i
\(155\) −9.75946 15.1860i −0.783899 1.21977i
\(156\) 0.425316 2.95814i 0.0340525 0.236841i
\(157\) −9.21062 5.91930i −0.735087 0.472412i 0.118768 0.992922i \(-0.462105\pi\)
−0.853856 + 0.520510i \(0.825742\pi\)
\(158\) −6.93783 6.01166i −0.551944 0.478262i
\(159\) −3.48492 1.02327i −0.276372 0.0811502i
\(160\) −2.02444 −0.160046
\(161\) −8.04322 9.81359i −0.633895 0.773419i
\(162\) 1.00000 0.0785674
\(163\) −13.5895 3.99024i −1.06441 0.312540i −0.297785 0.954633i \(-0.596248\pi\)
−0.766627 + 0.642093i \(0.778066\pi\)
\(164\) −2.95964 2.56454i −0.231109 0.200257i
\(165\) 8.55706 + 5.49929i 0.666166 + 0.428119i
\(166\) −0.168430 + 1.17146i −0.0130727 + 0.0909226i
\(167\) 8.00526 + 12.4564i 0.619466 + 0.963908i 0.999246 + 0.0388307i \(0.0123633\pi\)
−0.379780 + 0.925077i \(0.624000\pi\)
\(168\) −2.13954 1.55640i −0.165069 0.120079i
\(169\) −2.66431 3.07478i −0.204947 0.236522i
\(170\) 0.912835 + 6.34891i 0.0700113 + 0.486939i
\(171\) −2.72040 + 5.95685i −0.208034 + 0.455531i
\(172\) −2.60549 8.87348i −0.198667 0.676597i
\(173\) 3.14475 + 10.7100i 0.239091 + 0.814269i 0.988377 + 0.152022i \(0.0485785\pi\)
−0.749286 + 0.662246i \(0.769603\pi\)
\(174\) 8.47231 + 3.86917i 0.642284 + 0.293321i
\(175\) 1.88995 1.45558i 0.142867 0.110032i
\(176\) −3.79726 + 3.29034i −0.286229 + 0.248019i
\(177\) 0.0108068 + 0.0236635i 0.000812287 + 0.00177866i
\(178\) 0.941921 0.605336i 0.0706000 0.0453719i
\(179\) 1.33075 9.25558i 0.0994651 0.691795i −0.877684 0.479240i \(-0.840912\pi\)
0.977149 0.212555i \(-0.0681785\pi\)
\(180\) 1.70307 + 1.09450i 0.126939 + 0.0815789i
\(181\) −8.32934 + 9.61258i −0.619115 + 0.714497i −0.975539 0.219827i \(-0.929451\pi\)
0.356423 + 0.934325i \(0.383996\pi\)
\(182\) 7.70255 1.78634i 0.570951 0.132412i
\(183\) 8.62619i 0.637666i
\(184\) −4.30010 + 2.12348i −0.317007 + 0.156545i
\(185\) 18.1557i 1.33484i
\(186\) −8.55566 2.51217i −0.627331 0.184201i
\(187\) 12.0311 + 10.4250i 0.879805 + 0.762355i
\(188\) 4.53839 7.06188i 0.330996 0.515040i
\(189\) 0.958437 + 2.46605i 0.0697161 + 0.179379i
\(190\) −11.1528 + 7.16745i −0.809107 + 0.519982i
\(191\) 3.72300 1.70024i 0.269387 0.123025i −0.276142 0.961117i \(-0.589056\pi\)
0.545529 + 0.838092i \(0.316329\pi\)
\(192\) −0.755750 + 0.654861i −0.0545415 + 0.0472605i
\(193\) 2.56259 + 17.8232i 0.184459 + 1.28294i 0.846061 + 0.533087i \(0.178968\pi\)
−0.661601 + 0.749856i \(0.730123\pi\)
\(194\) −5.46590 + 11.9686i −0.392429 + 0.859299i
\(195\) −5.80509 + 1.70453i −0.415711 + 0.122064i
\(196\) 1.78755 6.76791i 0.127682 0.483422i
\(197\) −11.4795 + 25.1365i −0.817879 + 1.79090i −0.248953 + 0.968516i \(0.580086\pi\)
−0.568926 + 0.822389i \(0.692641\pi\)
\(198\) 4.97335 0.715060i 0.353441 0.0508171i
\(199\) −1.23881 1.42966i −0.0878166 0.101346i 0.710141 0.704060i \(-0.248631\pi\)
−0.797957 + 0.602714i \(0.794086\pi\)
\(200\) −0.374553 0.820156i −0.0264849 0.0579938i
\(201\) −2.54701 + 1.63686i −0.179652 + 0.115455i
\(202\) 1.06230 + 0.152735i 0.0747430 + 0.0107464i
\(203\) −1.42139 + 24.6015i −0.0997623 + 1.72669i
\(204\) 2.39450 + 2.07485i 0.167649 + 0.145268i
\(205\) −2.23359 + 7.60691i −0.156001 + 0.531290i
\(206\) 15.3977 1.07281
\(207\) 4.76551 + 0.538425i 0.331226 + 0.0374231i
\(208\) 2.98856i 0.207219i
\(209\) −9.27000 + 31.5707i −0.641220 + 2.18379i
\(210\) −1.06680 + 5.24886i −0.0736159 + 0.362206i
\(211\) −10.2078 6.56018i −0.702737 0.451621i 0.139857 0.990172i \(-0.455336\pi\)
−0.842593 + 0.538550i \(0.818972\pi\)
\(212\) −3.59508 0.516894i −0.246911 0.0355004i
\(213\) 4.31533 + 6.71479i 0.295682 + 0.460090i
\(214\) 8.07886 3.68949i 0.552260 0.252209i
\(215\) −14.1493 + 12.2605i −0.964975 + 0.836156i
\(216\) 0.989821 0.142315i 0.0673488 0.00968330i
\(217\) −2.00493 23.5064i −0.136104 1.59572i
\(218\) −3.84617 13.0989i −0.260496 0.887166i
\(219\) 11.3242 3.32509i 0.765219 0.224689i
\(220\) 9.25259 + 4.22552i 0.623809 + 0.284884i
\(221\) −9.37250 + 1.34756i −0.630463 + 0.0906469i
\(222\) −5.87296 6.77776i −0.394167 0.454893i
\(223\) −26.1294 + 11.9329i −1.74976 + 0.799087i −0.761146 + 0.648580i \(0.775363\pi\)
−0.988609 + 0.150506i \(0.951910\pi\)
\(224\) −2.33926 1.23607i −0.156298 0.0825886i
\(225\) −0.128316 + 0.892458i −0.00855440 + 0.0594972i
\(226\) 1.48064 2.30392i 0.0984908 0.153255i
\(227\) −7.95194 + 9.17703i −0.527789 + 0.609101i −0.955564 0.294784i \(-0.904752\pi\)
0.427775 + 0.903885i \(0.359298\pi\)
\(228\) −1.84496 + 6.28337i −0.122186 + 0.416126i
\(229\) 8.68759 0.574092 0.287046 0.957917i \(-0.407327\pi\)
0.287046 + 0.957917i \(0.407327\pi\)
\(230\) 7.52669 + 6.13281i 0.496295 + 0.404385i
\(231\) 6.53002 + 11.5792i 0.429644 + 0.761854i
\(232\) 8.93671 + 2.62406i 0.586724 + 0.172278i
\(233\) −5.84151 + 6.74146i −0.382690 + 0.441648i −0.914113 0.405459i \(-0.867112\pi\)
0.531424 + 0.847106i \(0.321657\pi\)
\(234\) −1.61574 + 2.51413i −0.105624 + 0.164354i
\(235\) −16.8211 2.41851i −1.09729 0.157766i
\(236\) 0.0140644 + 0.0218847i 0.000915517 + 0.00142457i
\(237\) 3.81354 + 8.35048i 0.247716 + 0.542422i
\(238\) −2.82169 + 7.89357i −0.182903 + 0.511664i
\(239\) −3.77053 26.2246i −0.243896 1.69633i −0.632204 0.774802i \(-0.717850\pi\)
0.388309 0.921529i \(-0.373059\pi\)
\(240\) 1.84150 + 0.840984i 0.118868 + 0.0542853i
\(241\) 8.41629 2.47125i 0.542141 0.159187i 0.000814869 1.00000i \(-0.499741\pi\)
0.541326 + 0.840813i \(0.317922\pi\)
\(242\) 13.6685 4.01343i 0.878643 0.257993i
\(243\) −0.909632 0.415415i −0.0583529 0.0266489i
\(244\) 1.22763 + 8.53839i 0.0785913 + 0.546614i
\(245\) −13.9664 + 2.39993i −0.892280 + 0.153326i
\(246\) 1.62683 + 3.56227i 0.103723 + 0.227122i
\(247\) −10.5809 16.4641i −0.673244 1.04759i
\(248\) −8.82609 1.26900i −0.560457 0.0805816i
\(249\) 0.639850 0.995625i 0.0405488 0.0630952i
\(250\) −7.82396 + 9.02933i −0.494831 + 0.571065i
\(251\) −18.3859 5.39859i −1.16051 0.340756i −0.355878 0.934533i \(-0.615818\pi\)
−0.804630 + 0.593777i \(0.797636\pi\)
\(252\) 1.29964 + 2.30455i 0.0818695 + 0.145173i
\(253\) 24.0856 0.729850i 1.51425 0.0458853i
\(254\) −7.98189 −0.500828
\(255\) 1.80709 6.15438i 0.113164 0.385402i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) −9.79388 + 15.2396i −0.610925 + 0.950618i 0.388648 + 0.921387i \(0.372942\pi\)
−0.999573 + 0.0292316i \(0.990694\pi\)
\(258\) −1.31614 + 9.15396i −0.0819394 + 0.569901i
\(259\) 11.0854 20.9791i 0.688814 1.30358i
\(260\) −5.50342 + 2.51333i −0.341308 + 0.155870i
\(261\) −6.09937 7.03905i −0.377542 0.435706i
\(262\) 1.85781 0.267113i 0.114776 0.0165023i
\(263\) 6.89832 + 3.15036i 0.425369 + 0.194259i 0.616585 0.787289i \(-0.288516\pi\)
−0.191216 + 0.981548i \(0.561243\pi\)
\(264\) 4.82096 1.41556i 0.296710 0.0871219i
\(265\) 2.07154 + 7.05502i 0.127254 + 0.433386i
\(266\) −17.2634 + 1.47245i −1.05849 + 0.0902814i
\(267\) −1.10827 + 0.159345i −0.0678249 + 0.00975175i
\(268\) −2.28814 + 1.98268i −0.139770 + 0.121111i
\(269\) −4.04364 + 1.84667i −0.246545 + 0.112593i −0.534855 0.844944i \(-0.679634\pi\)
0.288310 + 0.957537i \(0.406907\pi\)
\(270\) −1.09450 1.70307i −0.0666089 0.103645i
\(271\) −15.8140 2.27371i −0.960634 0.138118i −0.355881 0.934531i \(-0.615819\pi\)
−0.604753 + 0.796413i \(0.706728\pi\)
\(272\) 2.66541 + 1.71295i 0.161614 + 0.103863i
\(273\) −7.74856 1.57484i −0.468964 0.0953139i
\(274\) 2.25536 7.68104i 0.136251 0.464028i
\(275\) 4.53026i 0.273185i
\(276\) 4.79363 0.145258i 0.288543 0.00874353i
\(277\) 4.95418 0.297668 0.148834 0.988862i \(-0.452448\pi\)
0.148834 + 0.988862i \(0.452448\pi\)
\(278\) 4.96319 16.9031i 0.297672 1.01378i
\(279\) 6.73891 + 5.83930i 0.403448 + 0.349590i
\(280\) −0.308947 + 5.34725i −0.0184631 + 0.319559i
\(281\) 10.5222 + 1.51286i 0.627702 + 0.0902499i 0.448822 0.893621i \(-0.351844\pi\)
0.178879 + 0.983871i \(0.442753\pi\)
\(282\) −7.06188 + 4.53839i −0.420529 + 0.270257i
\(283\) −10.9754 24.0329i −0.652422 1.42861i −0.889418 0.457095i \(-0.848890\pi\)
0.236995 0.971511i \(-0.423837\pi\)
\(284\) 5.22702 + 6.03230i 0.310167 + 0.357951i
\(285\) 13.1224 1.88671i 0.777303 0.111759i
\(286\) −6.23787 + 13.6590i −0.368853 + 0.807675i
\(287\) −7.22552 + 7.42607i −0.426509 + 0.438347i
\(288\) 0.959493 0.281733i 0.0565387 0.0166013i
\(289\) −2.89186 + 6.33229i −0.170110 + 0.372488i
\(290\) −2.68344 18.6637i −0.157577 1.09597i
\(291\) 9.94391 8.61645i 0.582922 0.505105i
\(292\) 10.7357 4.90285i 0.628262 0.286918i
\(293\) 17.9533 11.5379i 1.04884 0.674051i 0.101685 0.994817i \(-0.467577\pi\)
0.947158 + 0.320766i \(0.103940\pi\)
\(294\) −4.43751 + 5.41373i −0.258801 + 0.315735i
\(295\) 0.0284727 0.0443043i 0.00165774 0.00257950i
\(296\) −6.77776 5.87296i −0.393949 0.341359i
\(297\) −4.82096 1.41556i −0.279741 0.0821393i
\(298\) 10.6618i 0.617621i
\(299\) −9.05348 + 11.1112i −0.523576 + 0.642576i
\(300\) 0.901635i 0.0520559i
\(301\) −23.8356 + 5.52783i −1.37386 + 0.318619i
\(302\) 1.99260 2.29959i 0.114661 0.132326i
\(303\) −0.902852 0.580228i −0.0518675 0.0333332i
\(304\) −0.931968 + 6.48198i −0.0534520 + 0.371767i
\(305\) 14.6910 9.44133i 0.841204 0.540609i
\(306\) −1.31619 2.88206i −0.0752417 0.164756i
\(307\) −13.6861 + 11.8591i −0.781109 + 0.676834i −0.951194 0.308595i \(-0.900141\pi\)
0.170085 + 0.985429i \(0.445596\pi\)
\(308\) 8.11144 + 10.5320i 0.462192 + 0.600117i
\(309\) −14.0062 6.39644i −0.796788 0.363881i
\(310\) 5.08574 + 17.3204i 0.288850 + 0.983734i
\(311\) 4.64621 + 15.8235i 0.263462 + 0.897270i 0.979878 + 0.199597i \(0.0639632\pi\)
−0.716416 + 0.697674i \(0.754219\pi\)
\(312\) −1.24149 + 2.71849i −0.0702856 + 0.153904i
\(313\) 3.66602 + 25.4977i 0.207216 + 1.44122i 0.782188 + 0.623043i \(0.214104\pi\)
−0.574972 + 0.818173i \(0.694987\pi\)
\(314\) 7.16986 + 8.27446i 0.404619 + 0.466955i
\(315\) 3.15085 4.33137i 0.177530 0.244045i
\(316\) 4.96312 + 7.72276i 0.279197 + 0.434439i
\(317\) 1.84890 12.8594i 0.103845 0.722256i −0.869670 0.493633i \(-0.835669\pi\)
0.973515 0.228623i \(-0.0734223\pi\)
\(318\) 3.05547 + 1.96363i 0.171342 + 0.110115i
\(319\) −35.3676 30.6462i −1.98021 1.71586i
\(320\) 1.94244 + 0.570351i 0.108586 + 0.0318836i
\(321\) −8.88146 −0.495715
\(322\) 4.95261 + 11.6821i 0.275998 + 0.651018i
\(323\) 20.7485 1.15448
\(324\) −0.959493 0.281733i −0.0533052 0.0156518i
\(325\) −2.03643 1.76458i −0.112961 0.0978813i
\(326\) 11.9149 + 7.65721i 0.659903 + 0.424094i
\(327\) −1.94286 + 13.5129i −0.107440 + 0.747265i
\(328\) 2.11724 + 3.29449i 0.116905 + 0.181908i
\(329\) −17.9603 13.0652i −0.990181 0.720306i
\(330\) −6.66111 7.68733i −0.366682 0.423173i
\(331\) 2.79698 + 19.4534i 0.153736 + 1.06926i 0.909886 + 0.414858i \(0.136169\pi\)
−0.756151 + 0.654398i \(0.772922\pi\)
\(332\) 0.491645 1.07655i 0.0269825 0.0590834i
\(333\) 2.52665 + 8.60498i 0.138460 + 0.471550i
\(334\) −4.17161 14.2072i −0.228260 0.777383i
\(335\) 5.57539 + 2.54619i 0.304616 + 0.139113i
\(336\) 1.61438 + 2.09613i 0.0880717 + 0.114353i
\(337\) −3.86724 + 3.35099i −0.210662 + 0.182540i −0.753800 0.657103i \(-0.771781\pi\)
0.543138 + 0.839643i \(0.317236\pi\)
\(338\) 1.69012 + 3.70086i 0.0919307 + 0.201300i
\(339\) −2.30392 + 1.48064i −0.125132 + 0.0804174i
\(340\) 0.912835 6.34891i 0.0495055 0.344318i
\(341\) 37.6904 + 24.2221i 2.04105 + 1.31170i
\(342\) 4.28844 4.94913i 0.231892 0.267618i
\(343\) −17.6036 5.75439i −0.950506 0.310708i
\(344\) 9.24809i 0.498624i
\(345\) −4.29886 8.70530i −0.231443 0.468678i
\(346\) 11.1622i 0.600082i
\(347\) 16.3137 + 4.79013i 0.875764 + 0.257148i 0.688565 0.725174i \(-0.258241\pi\)
0.187199 + 0.982322i \(0.440059\pi\)
\(348\) −7.03905 6.09937i −0.377333 0.326961i
\(349\) 15.7535 24.5129i 0.843263 1.31214i −0.104940 0.994479i \(-0.533465\pi\)
0.948203 0.317664i \(-0.102899\pi\)
\(350\) −2.22348 + 0.864161i −0.118850 + 0.0461913i
\(351\) 2.51413 1.61574i 0.134195 0.0862416i
\(352\) 4.57044 2.08725i 0.243605 0.111251i
\(353\) −18.5822 + 16.1016i −0.989033 + 0.857002i −0.989723 0.142998i \(-0.954326\pi\)
0.000690163 1.00000i \(0.499780\pi\)
\(354\) −0.00370224 0.0257496i −0.000196772 0.00136858i
\(355\) 6.71263 14.6986i 0.356269 0.780121i
\(356\) −1.07431 + 0.315446i −0.0569383 + 0.0167186i
\(357\) 5.84581 6.00807i 0.309393 0.317981i
\(358\) −3.88445 + 8.50575i −0.205299 + 0.449543i
\(359\) −15.4652 + 2.22357i −0.816224 + 0.117355i −0.537767 0.843093i \(-0.680732\pi\)
−0.278457 + 0.960449i \(0.589823\pi\)
\(360\) −1.32573 1.52997i −0.0698720 0.0806366i
\(361\) 9.92202 + 21.7262i 0.522212 + 1.14348i
\(362\) 10.7001 6.87655i 0.562386 0.361424i
\(363\) −14.1005 2.02735i −0.740085 0.106408i
\(364\) −7.89382 0.456079i −0.413748 0.0239050i
\(365\) −18.0572 15.6466i −0.945155 0.818982i
\(366\) 2.43028 8.27677i 0.127033 0.432634i
\(367\) 9.15015 0.477634 0.238817 0.971065i \(-0.423240\pi\)
0.238817 + 0.971065i \(0.423240\pi\)
\(368\) 4.72417 0.825985i 0.246264 0.0430574i
\(369\) 3.91617i 0.203868i
\(370\) −5.11506 + 17.4203i −0.265919 + 0.905638i
\(371\) −1.91393 + 9.41696i −0.0993665 + 0.488904i
\(372\) 7.50133 + 4.82081i 0.388926 + 0.249948i
\(373\) −0.178738 0.0256987i −0.00925472 0.00133063i 0.137686 0.990476i \(-0.456034\pi\)
−0.146941 + 0.989145i \(0.546943\pi\)
\(374\) −8.60673 13.3923i −0.445043 0.692501i
\(375\) 10.8678 4.96318i 0.561213 0.256297i
\(376\) −6.34412 + 5.49721i −0.327173 + 0.283497i
\(377\) 27.5521 3.96139i 1.41900 0.204022i
\(378\) −0.224848 2.63618i −0.0115649 0.135590i
\(379\) 7.30503 + 24.8787i 0.375234 + 1.27793i 0.903404 + 0.428791i \(0.141060\pi\)
−0.528169 + 0.849139i \(0.677121\pi\)
\(380\) 12.7203 3.73502i 0.652538 0.191603i
\(381\) 7.26058 + 3.31580i 0.371971 + 0.169873i
\(382\) −4.05120 + 0.582475i −0.207277 + 0.0298020i
\(383\) −11.8738 13.7031i −0.606721 0.700194i 0.366408 0.930454i \(-0.380588\pi\)
−0.973129 + 0.230261i \(0.926042\pi\)
\(384\) 0.909632 0.415415i 0.0464195 0.0211991i
\(385\) 12.5731 23.7944i 0.640783 1.21268i
\(386\) 2.56259 17.8232i 0.130432 0.907177i
\(387\) 4.99990 7.77999i 0.254159 0.395479i
\(388\) 8.61645 9.94391i 0.437434 0.504825i
\(389\) 9.49221 32.3275i 0.481274 1.63907i −0.258351 0.966051i \(-0.583179\pi\)
0.739625 0.673019i \(-0.235003\pi\)
\(390\) 6.05016 0.306362
\(391\) −4.72056 14.4432i −0.238729 0.730422i
\(392\) −3.62189 + 5.99015i −0.182933 + 0.302548i
\(393\) −1.80088 0.528788i −0.0908426 0.0266738i
\(394\) 18.0963 20.8842i 0.911676 1.05213i
\(395\) 10.0475 15.6343i 0.505547 0.786646i
\(396\) −4.97335 0.715060i −0.249920 0.0359331i
\(397\) −14.5674 22.6674i −0.731118 1.13764i −0.985358 0.170501i \(-0.945462\pi\)
0.254239 0.967141i \(-0.418175\pi\)
\(398\) 0.785844 + 1.72076i 0.0393908 + 0.0862539i
\(399\) 16.3150 + 5.83208i 0.816771 + 0.291969i
\(400\) 0.128316 + 0.892458i 0.00641580 + 0.0446229i
\(401\) −3.56735 1.62915i −0.178145 0.0813561i 0.324346 0.945938i \(-0.394856\pi\)
−0.502491 + 0.864582i \(0.667583\pi\)
\(402\) 2.90500 0.852984i 0.144888 0.0425430i
\(403\) −25.5691 + 7.50776i −1.27369 + 0.373988i
\(404\) −0.976237 0.445832i −0.0485696 0.0221810i
\(405\) 0.288108 + 2.00384i 0.0143162 + 0.0995714i
\(406\) 8.29486 23.2045i 0.411667 1.15162i
\(407\) 18.7190 + 40.9889i 0.927866 + 2.03174i
\(408\) −1.71295 2.66541i −0.0848039 0.131957i
\(409\) −1.59002 0.228610i −0.0786214 0.0113040i 0.102892 0.994693i \(-0.467190\pi\)
−0.181513 + 0.983389i \(0.558100\pi\)
\(410\) 4.28623 6.66950i 0.211682 0.329383i
\(411\) −5.24236 + 6.05001i −0.258587 + 0.298425i
\(412\) −14.7740 4.33804i −0.727862 0.213720i
\(413\) 0.0599514 0.0338093i 0.00295002 0.00166365i
\(414\) −4.42078 1.85921i −0.217270 0.0913754i
\(415\) −2.39593 −0.117612
\(416\) −0.841974 + 2.86750i −0.0412812 + 0.140591i
\(417\) −11.5365 + 13.3138i −0.564943 + 0.651979i
\(418\) 17.7890 27.6802i 0.870089 1.35388i
\(419\) −1.01595 + 7.06612i −0.0496326 + 0.345202i 0.949840 + 0.312736i \(0.101245\pi\)
−0.999473 + 0.0324668i \(0.989664\pi\)
\(420\) 2.50236 4.73569i 0.122103 0.231078i
\(421\) −28.7826 + 13.1446i −1.40278 + 0.640627i −0.965905 0.258897i \(-0.916641\pi\)
−0.436872 + 0.899524i \(0.643914\pi\)
\(422\) 7.94613 + 9.17033i 0.386812 + 0.446405i
\(423\) 8.30902 1.19466i 0.403999 0.0580862i
\(424\) 3.30382 + 1.50881i 0.160448 + 0.0732741i
\(425\) 2.74100 0.804831i 0.132958 0.0390400i
\(426\) −2.24876 7.65856i −0.108953 0.371058i
\(427\) 22.7402 1.93958i 1.10047 0.0938628i
\(428\) −8.79106 + 1.26396i −0.424932 + 0.0610960i
\(429\) 11.3483 9.83338i 0.547902 0.474760i
\(430\) 17.0303 7.77750i 0.821276 0.375064i
\(431\) 0.175765 + 0.273496i 0.00846633 + 0.0131739i 0.845461 0.534037i \(-0.179326\pi\)
−0.836995 + 0.547211i \(0.815689\pi\)
\(432\) −0.989821 0.142315i −0.0476228 0.00684713i
\(433\) −18.9368 12.1699i −0.910042 0.584849i −0.000289984 1.00000i \(-0.500092\pi\)
−0.909752 + 0.415151i \(0.863729\pi\)
\(434\) −4.69881 + 23.1191i −0.225550 + 1.10975i
\(435\) −5.31225 + 18.0919i −0.254703 + 0.867438i
\(436\) 13.6518i 0.653805i
\(437\) 23.1014 21.2761i 1.10509 1.01777i
\(438\) −11.8023 −0.563935
\(439\) 2.17082 7.39314i 0.103608 0.352856i −0.891329 0.453357i \(-0.850226\pi\)
0.994937 + 0.100501i \(0.0320446\pi\)
\(440\) −7.68733 6.66111i −0.366479 0.317556i
\(441\) 6.28545 3.08110i 0.299307 0.146719i
\(442\) 9.37250 + 1.34756i 0.445804 + 0.0640970i
\(443\) 17.2158 11.0639i 0.817945 0.525661i −0.0634812 0.997983i \(-0.520220\pi\)
0.881426 + 0.472322i \(0.156584\pi\)
\(444\) 3.72555 + 8.15782i 0.176807 + 0.387153i
\(445\) 1.48437 + 1.71305i 0.0703659 + 0.0812065i
\(446\) 28.4329 4.08803i 1.34634 0.193574i
\(447\) 4.42907 9.69831i 0.209488 0.458714i
\(448\) 1.89626 + 1.84505i 0.0895898 + 0.0871703i
\(449\) 39.4617 11.5870i 1.86231 0.546825i 0.863195 0.504870i \(-0.168460\pi\)
0.999119 0.0419551i \(-0.0133586\pi\)
\(450\) 0.374553 0.820156i 0.0176566 0.0386625i
\(451\) −2.80029 19.4765i −0.131861 0.917111i
\(452\) −2.06975 + 1.79345i −0.0973531 + 0.0843569i
\(453\) −2.76782 + 1.26402i −0.130043 + 0.0593888i
\(454\) 10.2153 6.56498i 0.479428 0.308110i
\(455\) 5.79870 + 14.9200i 0.271847 + 0.699460i
\(456\) 3.54046 5.50906i 0.165797 0.257985i
\(457\) 20.6494 + 17.8928i 0.965938 + 0.836990i 0.986660 0.162795i \(-0.0520509\pi\)
−0.0207215 + 0.999785i \(0.506596\pi\)
\(458\) −8.33568 2.44758i −0.389501 0.114368i
\(459\) 3.16838i 0.147887i
\(460\) −5.49400 8.00490i −0.256159 0.373230i
\(461\) 32.2910i 1.50394i 0.659197 + 0.751970i \(0.270896\pi\)
−0.659197 + 0.751970i \(0.729104\pi\)
\(462\) −3.00327 12.9499i −0.139725 0.602482i
\(463\) 6.18922 7.14274i 0.287637 0.331951i −0.593480 0.804849i \(-0.702246\pi\)
0.881117 + 0.472898i \(0.156792\pi\)
\(464\) −7.83543 5.03553i −0.363751 0.233768i
\(465\) 2.56902 17.8679i 0.119135 0.828605i
\(466\) 7.50417 4.82264i 0.347624 0.223404i
\(467\) −3.24072 7.09618i −0.149963 0.328372i 0.819710 0.572778i \(-0.194134\pi\)
−0.969673 + 0.244406i \(0.921407\pi\)
\(468\) 2.25860 1.95709i 0.104404 0.0904665i
\(469\) 4.88776 + 6.34633i 0.225696 + 0.293046i
\(470\) 15.4584 + 7.05961i 0.713042 + 0.325636i
\(471\) −3.08460 10.5052i −0.142131 0.484053i
\(472\) −0.00732910 0.0249606i −0.000337349 0.00114891i
\(473\) 19.3031 42.2678i 0.887557 1.94348i
\(474\) −1.30646 9.08663i −0.0600077 0.417363i
\(475\) 3.86661 + 4.46231i 0.177412 + 0.204745i
\(476\) 4.93127 6.77886i 0.226024 0.310708i
\(477\) −1.96363 3.05547i −0.0899085 0.139900i
\(478\) −3.77053 + 26.2246i −0.172460 + 1.19949i
\(479\) −12.6092 8.10345i −0.576130 0.370256i 0.219892 0.975524i \(-0.429430\pi\)
−0.796022 + 0.605268i \(0.793066\pi\)
\(480\) −1.52997 1.32573i −0.0698333 0.0605109i
\(481\) −25.7165 7.55104i −1.17257 0.344298i
\(482\) −8.77160 −0.399536
\(483\) 0.347871 12.6838i 0.0158287 0.577133i
\(484\) −14.2455 −0.647524
\(485\) −25.5580 7.50450i −1.16053 0.340762i
\(486\) 0.755750 + 0.654861i 0.0342815 + 0.0297051i
\(487\) −9.40429 6.04377i −0.426149 0.273869i 0.309937 0.950757i \(-0.399692\pi\)
−0.736086 + 0.676888i \(0.763328\pi\)
\(488\) 1.22763 8.53839i 0.0555724 0.386515i
\(489\) −7.65721 11.9149i −0.346271 0.538808i
\(490\) 14.0768 + 1.63207i 0.635925 + 0.0737295i
\(491\) −17.3196 19.9878i −0.781621 0.902039i 0.215604 0.976481i \(-0.430828\pi\)
−0.997225 + 0.0744418i \(0.976282\pi\)
\(492\) −0.557329 3.87631i −0.0251263 0.174757i
\(493\) −12.2590 + 26.8435i −0.552118 + 1.20897i
\(494\) 5.51378 + 18.7782i 0.248077 + 0.844872i
\(495\) 2.86572 + 9.75976i 0.128805 + 0.438669i
\(496\) 8.11105 + 3.70419i 0.364197 + 0.166323i
\(497\) 16.7311 12.8858i 0.750492 0.578007i
\(498\) −0.894431 + 0.775029i −0.0400804 + 0.0347299i
\(499\) −11.0214 24.1335i −0.493386 1.08036i −0.978563 0.205949i \(-0.933972\pi\)
0.485177 0.874416i \(-0.338755\pi\)
\(500\) 10.0509 6.45932i 0.449490 0.288869i
\(501\) −2.10725 + 14.6563i −0.0941452 + 0.654794i
\(502\) 16.1202 + 10.3598i 0.719479 + 0.462381i
\(503\) −25.8264 + 29.8052i −1.15154 + 1.32895i −0.215729 + 0.976453i \(0.569213\pi\)
−0.935813 + 0.352497i \(0.885333\pi\)
\(504\) −0.597727 2.57735i −0.0266249 0.114804i
\(505\) 2.17268i 0.0966828i
\(506\) −23.3155 6.08540i −1.03650 0.270529i
\(507\) 4.06852i 0.180689i
\(508\) 7.65856 + 2.24876i 0.339794 + 0.0997725i
\(509\) −8.29370 7.18653i −0.367612 0.318537i 0.451392 0.892326i \(-0.350928\pi\)
−0.819004 + 0.573788i \(0.805473\pi\)
\(510\) −3.46778 + 5.39597i −0.153556 + 0.238937i
\(511\) −11.3118 29.1050i −0.500403 1.28753i
\(512\) 0.841254 0.540641i 0.0371785 0.0238932i
\(513\) −5.95685 + 2.72040i −0.263001 + 0.120109i
\(514\) 13.6906 11.8630i 0.603868 0.523255i
\(515\) 4.43621 + 30.8545i 0.195483 + 1.35961i
\(516\) 3.84180 8.41236i 0.169126 0.370334i
\(517\) 40.4694 11.8829i 1.77984 0.522609i
\(518\) −16.5469 + 17.0061i −0.727028 + 0.747207i
\(519\) −4.63694 + 10.1535i −0.203539 + 0.445688i
\(520\) 5.98858 0.861028i 0.262617 0.0377586i
\(521\) 4.49360 + 5.18589i 0.196868 + 0.227198i 0.845597 0.533822i \(-0.179245\pi\)
−0.648729 + 0.761019i \(0.724699\pi\)
\(522\) 3.86917 + 8.47231i 0.169349 + 0.370823i
\(523\) −24.8058 + 15.9417i −1.08468 + 0.697082i −0.955634 0.294557i \(-0.904828\pi\)
−0.129046 + 0.991639i \(0.541192\pi\)
\(524\) −1.85781 0.267113i −0.0811588 0.0116689i
\(525\) 2.38153 + 0.137597i 0.103938 + 0.00600523i
\(526\) −5.73133 4.96623i −0.249898 0.216538i
\(527\) 7.95950 27.1076i 0.346721 1.18082i
\(528\) −5.02449 −0.218663
\(529\) −20.0662 11.2404i −0.872445 0.488712i
\(530\) 7.35286i 0.319388i
\(531\) −0.00732910 + 0.0249606i −0.000318056 + 0.00108320i
\(532\) 16.9789 + 3.45085i 0.736130 + 0.149613i
\(533\) 9.84577 + 6.32749i 0.426468 + 0.274074i
\(534\) 1.10827 + 0.159345i 0.0479594 + 0.00689553i
\(535\) 9.72072 + 15.1257i 0.420264 + 0.653943i
\(536\) 2.75404 1.25773i 0.118956 0.0543255i
\(537\) 7.06683 6.12345i 0.304956 0.264246i
\(538\) 4.40011 0.632641i 0.189702 0.0272751i
\(539\) 29.0566 19.8179i 1.25155 0.853615i
\(540\) 0.570351 + 1.94244i 0.0245440 + 0.0835892i
\(541\) 3.81753 1.12093i 0.164128 0.0481925i −0.198636 0.980073i \(-0.563651\pi\)
0.362764 + 0.931881i \(0.381833\pi\)
\(542\) 14.5329 + 6.63694i 0.624240 + 0.285081i
\(543\) −12.5898 + 1.81014i −0.540280 + 0.0776805i
\(544\) −2.07485 2.39450i −0.0889583 0.102663i
\(545\) 25.1398 11.4810i 1.07687 0.491791i
\(546\) 6.99101 + 3.69407i 0.299187 + 0.158092i
\(547\) −1.09182 + 7.59378i −0.0466829 + 0.324686i 0.953076 + 0.302731i \(0.0978983\pi\)
−0.999759 + 0.0219556i \(0.993011\pi\)
\(548\) −4.32800 + 6.73449i −0.184883 + 0.287683i
\(549\) −5.64895 + 6.51924i −0.241091 + 0.278234i
\(550\) 1.27632 4.34675i 0.0544225 0.185346i
\(551\) −60.9939 −2.59843
\(552\) −4.64038 1.21115i −0.197508 0.0515499i
\(553\) 21.1559 11.9308i 0.899641 0.507347i
\(554\) −4.75350 1.39575i −0.201957 0.0592999i
\(555\) 11.8895 13.7212i 0.504680 0.582432i
\(556\) −9.52429 + 14.8201i −0.403920 + 0.628511i
\(557\) 37.1456 + 5.34073i 1.57391 + 0.226294i 0.873276 0.487227i \(-0.161991\pi\)
0.700634 + 0.713521i \(0.252901\pi\)
\(558\) −4.82081 7.50133i −0.204081 0.317557i
\(559\) 11.4814 + 25.1408i 0.485613 + 1.06334i
\(560\) 1.80293 5.04361i 0.0761876 0.213131i
\(561\) 2.26558 + 15.7575i 0.0956528 + 0.665280i
\(562\) −9.66975 4.41603i −0.407894 0.186279i
\(563\) 23.4901 6.89731i 0.989989 0.290687i 0.253647 0.967297i \(-0.418370\pi\)
0.736342 + 0.676610i \(0.236552\pi\)
\(564\) 8.05443 2.36499i 0.339153 0.0995843i
\(565\) 5.04327 + 2.30318i 0.212172 + 0.0968956i
\(566\) 3.76002 + 26.1515i 0.158045 + 1.09923i
\(567\) −0.890580 + 2.49136i −0.0374008 + 0.104627i
\(568\) −3.31579 7.26057i −0.139128 0.304647i
\(569\) 18.5201 + 28.8179i 0.776405 + 1.20811i 0.973715 + 0.227768i \(0.0731429\pi\)
−0.197311 + 0.980341i \(0.563221\pi\)
\(570\) −13.1224 1.88671i −0.549636 0.0790258i
\(571\) −3.98556 + 6.20166i −0.166791 + 0.259531i −0.914580 0.404404i \(-0.867479\pi\)
0.747790 + 0.663936i \(0.231115\pi\)
\(572\) 9.83338 11.3483i 0.411154 0.474497i
\(573\) 3.92707 + 1.15309i 0.164056 + 0.0481711i
\(574\) 9.02500 5.08960i 0.376696 0.212436i
\(575\) 2.22653 3.70679i 0.0928526 0.154584i
\(576\) −1.00000 −0.0416667
\(577\) −8.03244 + 27.3560i −0.334395 + 1.13884i 0.605062 + 0.796178i \(0.293148\pi\)
−0.939457 + 0.342666i \(0.888670\pi\)
\(578\) 4.55873 5.26106i 0.189618 0.218831i
\(579\) −9.73504 + 15.1480i −0.404574 + 0.629530i
\(580\) −2.68344 + 18.6637i −0.111424 + 0.774969i
\(581\) −2.76852 1.46289i −0.114857 0.0606911i
\(582\) −11.9686 + 5.46590i −0.496116 + 0.226569i
\(583\) −11.9507 13.7918i −0.494946 0.571198i
\(584\) −11.6822 + 1.67964i −0.483411 + 0.0695040i
\(585\) −5.50342 2.51333i −0.227538 0.103913i
\(586\) −20.4767 + 6.01249i −0.845883 + 0.248374i
\(587\) −1.17151 3.98980i −0.0483534 0.164677i 0.931777 0.363032i \(-0.118258\pi\)
−0.980130 + 0.198355i \(0.936440\pi\)
\(588\) 5.78298 3.94425i 0.238486 0.162658i
\(589\) 57.7988 8.31022i 2.38156 0.342417i
\(590\) −0.0398013 + 0.0344880i −0.00163859 + 0.00141985i
\(591\) −25.1365 + 11.4795i −1.03398 + 0.472202i
\(592\) 4.84861 + 7.54458i 0.199277 + 0.310080i
\(593\) −18.3473 2.63794i −0.753432 0.108327i −0.245111 0.969495i \(-0.578825\pi\)
−0.508321 + 0.861168i \(0.669734\pi\)
\(594\) 4.22687 + 2.71645i 0.173431 + 0.111457i
\(595\) −16.6304 3.38001i −0.681778 0.138567i
\(596\) 3.00377 10.2299i 0.123039 0.419034i
\(597\) 1.89171i 0.0774225i
\(598\) 11.8171 8.11044i 0.483239 0.331661i
\(599\) 4.68156 0.191283 0.0956416 0.995416i \(-0.469510\pi\)
0.0956416 + 0.995416i \(0.469510\pi\)
\(600\) 0.254020 0.865112i 0.0103703 0.0353181i
\(601\) 10.1202 + 8.76921i 0.412812 + 0.357703i 0.836370 0.548165i \(-0.184674\pi\)
−0.423558 + 0.905869i \(0.639219\pi\)
\(602\) 24.4274 + 1.41134i 0.995587 + 0.0575218i
\(603\) −2.99682 0.430878i −0.122040 0.0175467i
\(604\) −2.55976 + 1.64506i −0.104155 + 0.0669364i
\(605\) 11.9802 + 26.2331i 0.487066 + 1.06653i
\(606\) 0.702811 + 0.811087i 0.0285497 + 0.0329482i
\(607\) 43.9171 6.31432i 1.78254 0.256290i 0.829364 0.558709i \(-0.188703\pi\)
0.953175 + 0.302419i \(0.0977942\pi\)
\(608\) 2.72040 5.95685i 0.110327 0.241582i
\(609\) −17.1848 + 17.6617i −0.696362 + 0.715690i
\(610\) −16.7558 + 4.91996i −0.678424 + 0.199203i
\(611\) −10.4217 + 22.8203i −0.421615 + 0.923209i
\(612\) 0.450907 + 3.13613i 0.0182268 + 0.126770i
\(613\) −9.51893 + 8.24820i −0.384466 + 0.333142i −0.825555 0.564322i \(-0.809138\pi\)
0.441089 + 0.897463i \(0.354592\pi\)
\(614\) 16.4728 7.52289i 0.664790 0.303599i
\(615\) −6.66950 + 4.28623i −0.268940 + 0.172837i
\(616\) −4.81566 12.3906i −0.194029 0.499233i
\(617\) −6.88781 + 10.7176i −0.277293 + 0.431476i −0.951767 0.306823i \(-0.900734\pi\)
0.674474 + 0.738299i \(0.264371\pi\)
\(618\) 11.6368 + 10.0834i 0.468101 + 0.405612i
\(619\) −23.8327 6.99790i −0.957916 0.281270i −0.234837 0.972035i \(-0.575456\pi\)
−0.723079 + 0.690765i \(0.757274\pi\)
\(620\) 18.0517i 0.724972i
\(621\) 3.24894 + 3.52766i 0.130375 + 0.141560i
\(622\) 16.4916i 0.661251i
\(623\) 0.669253 + 2.88576i 0.0268131 + 0.115616i
\(624\) 1.95709 2.25860i 0.0783463 0.0904164i
\(625\) −16.5549 10.6392i −0.662197 0.425568i
\(626\) 3.66602 25.4977i 0.146524 1.01909i
\(627\) −27.6802 + 17.7890i −1.10544 + 0.710424i
\(628\) −4.54825 9.95927i −0.181495 0.397418i
\(629\) 21.4745 18.6078i 0.856244 0.741940i
\(630\) −4.24350 + 3.26822i −0.169065 + 0.130209i
\(631\) 4.48677 + 2.04904i 0.178616 + 0.0815710i 0.502716 0.864452i \(-0.332334\pi\)
−0.324100 + 0.946023i \(0.605061\pi\)
\(632\) −2.58632 8.80821i −0.102878 0.350372i
\(633\) −3.41857 11.6426i −0.135876 0.462750i
\(634\) −5.39692 + 11.8176i −0.214339 + 0.469337i
\(635\) −2.29965 15.9944i −0.0912587 0.634718i
\(636\) −2.37848 2.74492i −0.0943130 0.108843i
\(637\) −2.40933 + 20.7807i −0.0954609 + 0.823361i
\(638\) 25.3010 + 39.3691i 1.00167 + 1.55864i
\(639\) −1.13594 + 7.90064i −0.0449371 + 0.312544i
\(640\) −1.70307 1.09450i −0.0673197 0.0432638i
\(641\) −3.54803 3.07439i −0.140139 0.121431i 0.581971 0.813210i \(-0.302282\pi\)
−0.722109 + 0.691779i \(0.756827\pi\)
\(642\) 8.52170 + 2.50220i 0.336325 + 0.0987538i
\(643\) 15.7800 0.622303 0.311152 0.950360i \(-0.399285\pi\)
0.311152 + 0.950360i \(0.399285\pi\)
\(644\) −1.46076 12.6042i −0.0575622 0.496676i
\(645\) −18.7222 −0.737187
\(646\) −19.9081 5.84554i −0.783273 0.229990i
\(647\) 6.51246 + 5.64308i 0.256031 + 0.221852i 0.773413 0.633902i \(-0.218548\pi\)
−0.517382 + 0.855755i \(0.673093\pi\)
\(648\) 0.841254 + 0.540641i 0.0330476 + 0.0212384i
\(649\) −0.0186019 + 0.129379i −0.000730186 + 0.00507856i
\(650\) 1.45680 + 2.26683i 0.0571406 + 0.0889125i
\(651\) 13.8782 19.0779i 0.543930 0.747723i
\(652\) −9.27493 10.7038i −0.363234 0.419195i
\(653\) 1.63415 + 11.3658i 0.0639494 + 0.444778i 0.996490 + 0.0837125i \(0.0266777\pi\)
−0.932541 + 0.361065i \(0.882413\pi\)
\(654\) 5.67118 12.4182i 0.221761 0.485588i
\(655\) 1.07050 + 3.64579i 0.0418279 + 0.142453i
\(656\) −1.10331 3.75754i −0.0430771 0.146707i
\(657\) 10.7357 + 4.90285i 0.418841 + 0.191278i
\(658\) 13.5519 + 17.5959i 0.528307 + 0.685961i
\(659\) 21.3643 18.5123i 0.832235 0.721136i −0.130539 0.991443i \(-0.541671\pi\)
0.962774 + 0.270307i \(0.0871253\pi\)
\(660\) 4.22552 + 9.25259i 0.164478 + 0.360156i
\(661\) −5.83795 + 3.75182i −0.227070 + 0.145929i −0.649230 0.760593i \(-0.724909\pi\)
0.422160 + 0.906522i \(0.361272\pi\)
\(662\) 2.79698 19.4534i 0.108708 0.756078i
\(663\) −7.96573 5.11926i −0.309363 0.198816i
\(664\) −0.775029 + 0.894431i −0.0300770 + 0.0347107i
\(665\) −7.92426 34.1687i −0.307290 1.32501i
\(666\) 8.96826i 0.347513i
\(667\) 13.8769 + 42.4581i 0.537315 + 1.64399i
\(668\) 14.8070i 0.572900i
\(669\) −27.5617 8.09284i −1.06560 0.312887i
\(670\) −4.63220 4.01382i −0.178957 0.155067i
\(671\) −23.4326 + 36.4618i −0.904604 + 1.40759i
\(672\) −0.958437 2.46605i −0.0369725 0.0951299i
\(673\) 42.3036 27.1869i 1.63068 1.04798i 0.682194 0.731172i \(-0.261026\pi\)
0.948491 0.316806i \(-0.102610\pi\)
\(674\) 4.65468 2.12572i 0.179291 0.0818797i
\(675\) −0.681410 + 0.590445i −0.0262275 + 0.0227262i
\(676\) −0.579011 4.02711i −0.0222697 0.154889i
\(677\) 18.1032 39.6406i 0.695764 1.52351i −0.149268 0.988797i \(-0.547692\pi\)
0.845033 0.534715i \(-0.179581\pi\)
\(678\) 2.62774 0.771575i 0.100918 0.0296322i
\(679\) −24.9504 24.2765i −0.957507 0.931648i
\(680\) −2.66455 + 5.83456i −0.102181 + 0.223745i
\(681\) −12.0194 + 1.72812i −0.460583 + 0.0662218i
\(682\) −29.3395 33.8596i −1.12347 1.29655i
\(683\) −14.7317 32.2580i −0.563695 1.23432i −0.950087 0.311985i \(-0.899006\pi\)
0.386393 0.922334i \(-0.373721\pi\)
\(684\) −5.50906 + 3.54046i −0.210644 + 0.135373i
\(685\) 16.0413 + 2.30639i 0.612907 + 0.0881228i
\(686\) 15.2693 + 10.4808i 0.582986 + 0.400159i
\(687\) 6.56564 + 5.68916i 0.250495 + 0.217055i
\(688\) 2.60549 8.87348i 0.0993333 0.338298i
\(689\) 10.8546 0.413526
\(690\) 1.67216 + 9.56380i 0.0636580 + 0.364088i
\(691\) 29.5310i 1.12341i 0.827337 + 0.561706i \(0.189855\pi\)
−0.827337 + 0.561706i \(0.810145\pi\)
\(692\) −3.14475 + 10.7100i −0.119545 + 0.407134i
\(693\) −2.64770 + 13.0272i −0.100578 + 0.494863i
\(694\) −14.3033 9.19219i −0.542947 0.348931i
\(695\) 35.3009 + 5.07550i 1.33904 + 0.192525i
\(696\) 5.03553 + 7.83543i 0.190871 + 0.297001i
\(697\) −11.2866 + 5.15443i −0.427511 + 0.195238i
\(698\) −22.0214 + 19.0816i −0.833522 + 0.722251i
\(699\) −8.82943 + 1.26948i −0.333960 + 0.0480162i
\(700\) 2.37687 0.202731i 0.0898373 0.00766249i
\(701\) −9.84353 33.5240i −0.371785 1.26618i −0.906879 0.421391i \(-0.861542\pi\)
0.535094 0.844792i \(-0.320276\pi\)
\(702\) −2.86750 + 0.841974i −0.108227 + 0.0317783i
\(703\) 53.4225 + 24.3973i 2.01487 + 0.920160i
\(704\) −4.97335 + 0.715060i −0.187440 + 0.0269498i
\(705\) −11.1288 12.8433i −0.419134 0.483706i
\(706\) 22.3659 10.2142i 0.841751 0.384415i
\(707\) −1.32658 + 2.51054i −0.0498912 + 0.0944187i
\(708\) −0.00370224 + 0.0257496i −0.000139139 + 0.000967730i
\(709\) −18.8460 + 29.3250i −0.707778 + 1.10132i 0.282098 + 0.959386i \(0.408970\pi\)
−0.989876 + 0.141938i \(0.954667\pi\)
\(710\) −10.5818 + 12.2120i −0.397128 + 0.458310i
\(711\) −2.58632 + 8.80821i −0.0969947 + 0.330334i
\(712\) 1.11966 0.0419612
\(713\) −18.9347 38.3433i −0.709112 1.43597i
\(714\) −7.30168 + 4.11774i −0.273259 + 0.154103i
\(715\) −29.1676 8.56439i −1.09081 0.320290i
\(716\) 6.12345 7.06683i 0.228844 0.264100i
\(717\) 14.3239 22.2884i 0.534936 0.832377i
\(718\) 15.4652 + 2.22357i 0.577158 + 0.0829828i
\(719\) 21.7866 + 33.9006i 0.812502 + 1.26428i 0.961326 + 0.275415i \(0.0888151\pi\)
−0.148823 + 0.988864i \(0.547549\pi\)
\(720\) 0.840984 + 1.84150i 0.0313416 + 0.0686285i
\(721\) −13.7129 + 38.3612i −0.510695 + 1.42865i
\(722\) −3.39913 23.6415i −0.126503 0.879845i
\(723\) 7.97893 + 3.64386i 0.296740 + 0.135516i
\(724\) −12.2040 + 3.58343i −0.453560 + 0.133177i
\(725\) −8.05765 + 2.36594i −0.299254 + 0.0878688i
\(726\) 12.9582 + 5.91780i 0.480923 + 0.219630i
\(727\) −5.52990 38.4613i −0.205093 1.42645i −0.788881 0.614546i \(-0.789339\pi\)
0.583789 0.811906i \(-0.301570\pi\)
\(728\) 7.44557 + 2.66155i 0.275951 + 0.0986436i
\(729\) −0.415415 0.909632i −0.0153857 0.0336901i
\(730\) 12.9176 + 20.1001i 0.478100 + 0.743939i
\(731\) −29.0032 4.17003i −1.07272 0.154234i
\(732\) −4.66367 + 7.25681i −0.172374 + 0.268220i
\(733\) −22.9187 + 26.4496i −0.846520 + 0.976937i −0.999937 0.0112249i \(-0.996427\pi\)
0.153417 + 0.988162i \(0.450972\pi\)
\(734\) −8.77950 2.57790i −0.324057 0.0951518i
\(735\) −12.1267 7.33230i −0.447301 0.270456i
\(736\) −4.76551 0.538425i −0.175659 0.0198466i
\(737\) −15.2123 −0.560354
\(738\) −1.10331 + 3.75754i −0.0406135 + 0.138317i
\(739\) −17.3151 + 19.9827i −0.636945 + 0.735074i −0.978832 0.204667i \(-0.934389\pi\)
0.341886 + 0.939741i \(0.388934\pi\)
\(740\) 9.81572 15.2736i 0.360833 0.561467i
\(741\) 2.78524 19.3718i 0.102318 0.711640i
\(742\) 4.48947 8.49629i 0.164814 0.311908i
\(743\) −39.9497 + 18.2444i −1.46561 + 0.669323i −0.978919 0.204250i \(-0.934524\pi\)
−0.486693 + 0.873573i \(0.661797\pi\)
\(744\) −5.83930 6.73891i −0.214079 0.247060i
\(745\) −21.3645 + 3.07175i −0.782734 + 0.112540i
\(746\) 0.164258 + 0.0750141i 0.00601391 + 0.00274646i
\(747\) 1.13556 0.333431i 0.0415480 0.0121996i
\(748\) 4.48504 + 15.2746i 0.163989 + 0.558496i
\(749\) 1.99698 + 23.4131i 0.0729679 + 0.855497i
\(750\) −11.8259 + 1.70031i −0.431821 + 0.0620865i
\(751\) 16.9639 14.6993i 0.619023 0.536386i −0.287912 0.957657i \(-0.592961\pi\)
0.906935 + 0.421271i \(0.138416\pi\)
\(752\) 7.63588 3.48719i 0.278452 0.127165i
\(753\) −10.3598 16.1202i −0.377532 0.587452i
\(754\) −27.5521 3.96139i −1.00339 0.144265i
\(755\) 5.18208 + 3.33032i 0.188595 + 0.121203i
\(756\) −0.526958 + 2.59274i −0.0191653 + 0.0942971i
\(757\) −1.04331 + 3.55319i −0.0379197 + 0.129143i −0.976278 0.216522i \(-0.930529\pi\)
0.938358 + 0.345665i \(0.112347\pi\)
\(758\) 25.9290i 0.941782i
\(759\) 18.6806 + 15.2211i 0.678063 + 0.552491i
\(760\) −13.2573 −0.480894
\(761\) −9.39827 + 32.0076i −0.340687 + 1.16027i 0.593900 + 0.804539i \(0.297588\pi\)
−0.934587 + 0.355735i \(0.884231\pi\)
\(762\) −6.03231 5.22702i −0.218527 0.189355i
\(763\) 36.0593 + 2.08339i 1.30543 + 0.0754237i
\(764\) 4.05120 + 0.582475i 0.146567 + 0.0210732i
\(765\) 5.39597 3.46778i 0.195092 0.125378i
\(766\) 7.53220 + 16.4932i 0.272149 + 0.595924i
\(767\) −0.0509125 0.0587562i −0.00183834 0.00212156i
\(768\) −0.989821 + 0.142315i −0.0357171 + 0.00513534i
\(769\) −18.7968 + 41.1592i −0.677829 + 1.48424i 0.187099 + 0.982341i \(0.440092\pi\)
−0.864928 + 0.501897i \(0.832636\pi\)
\(770\) −18.7674 + 19.2884i −0.676332 + 0.695104i
\(771\) −17.3815 + 5.10367i −0.625980 + 0.183804i
\(772\) −7.48016 + 16.3793i −0.269217 + 0.589503i
\(773\) 4.00503 + 27.8556i 0.144051 + 1.00190i 0.925722 + 0.378206i \(0.123459\pi\)
−0.781671 + 0.623691i \(0.785632\pi\)
\(774\) −6.98924 + 6.05621i