Properties

Label 966.2.s.a.97.3
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 97.3
Character \(\chi\) \(=\) 966.97
Dual form 966.2.s.a.727.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 - 0.281733i) q^{2} +(-0.755750 - 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.288108 + 2.00384i) q^{5} +(0.540641 + 0.841254i) q^{6} +(2.63618 + 0.224848i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(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} +(2.63618 + 0.224848i) 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} +(-2.46605 - 0.958437i) 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} +(-1.84505 - 1.89626i) 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} +(2.09613 + 1.61438i) 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} +(-1.21006 + 5.21769i) 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} +(1.23607 + 2.33926i) 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} +(6.89889 + 1.18548i) 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} +(-1.55640 - 2.13954i) 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} +(0.152608 + 2.64135i) 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} +(2.64770 + 13.0272i) 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} +(-0.526958 - 2.59274i) 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} +(-6.28545 - 3.08110i) 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 \(0.194986\pi\)
−0.947021 + 0.321173i \(0.895923\pi\)
\(6\) 0.540641 + 0.841254i 0.220716 + 0.343440i
\(7\) 2.63618 + 0.224848i 0.996382 + 0.0849845i
\(8\) −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 0.755046 0.655672i \(-0.227614\pi\)
−0.00107335 + 0.999999i \(0.500342\pi\)
\(14\) −2.46605 0.958437i −0.659079 0.256153i
\(15\) 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 −0.822370 0.568953i \(-0.807349\pi\)
0.175913 + 0.984406i \(0.443712\pi\)
\(18\) 0.142315 0.989821i 0.0335439 0.233303i
\(19\) −5.50906 3.54046i −1.26387 0.812237i −0.275057 0.961428i \(-0.588697\pi\)
−0.988808 + 0.149191i \(0.952333\pi\)
\(20\) −1.32573 + 1.52997i −0.296442 + 0.342112i
\(21\) −1.84505 1.89626i −0.402622 0.413798i
\(22\) 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
\(28\) 2.09613 + 1.61438i 0.396132 + 0.305089i
\(29\) −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 \(0.568296\pi\)
−0.997426 + 0.0716984i \(0.977158\pi\)
\(32\) −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
\(35\) −1.21006 + 5.21769i −0.204538 + 0.881951i
\(36\) −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 0.438186 0.898884i \(-0.355621\pi\)
0.167191 + 0.985924i \(0.446530\pi\)
\(42\) 1.23607 + 2.33926i 0.190730 + 0.360955i
\(43\) −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 \(0.209727\pi\)
−0.790680 + 0.612230i \(0.790273\pi\)
\(48\) 0.281733 0.959493i 0.0406646 0.138491i
\(49\) 6.89889 + 1.18548i 0.985555 + 0.169354i
\(50\) −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
\(56\) −1.55640 2.13954i −0.207983 0.285907i
\(57\) 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 0.413874 0.910334i \(-0.364175\pi\)
−0.416955 + 0.908927i \(0.636903\pi\)
\(60\) 2.00384 0.288108i 0.258694 0.0371946i
\(61\) −5.64895 6.51924i −0.723274 0.834703i 0.268422 0.963301i \(-0.413498\pi\)
−0.991697 + 0.128598i \(0.958952\pi\)
\(62\) 8.11105 3.70419i 1.03010 0.470433i
\(63\) 0.152608 + 2.64135i 0.0192268 + 0.332778i
\(64\) −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 \(0.424505\pi\)
−0.981772 + 0.190063i \(0.939131\pi\)
\(74\) −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
\(77\) 2.64770 + 13.0272i 0.301733 + 1.48459i
\(78\) 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 0.996975 0.0777223i \(-0.0247648\pi\)
−0.978487 + 0.206306i \(0.933856\pi\)
\(84\) −0.526958 2.59274i −0.0574958 0.282891i
\(85\) −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 −0.715557 0.698554i \(-0.753827\pi\)
0.793279 + 0.608859i \(0.208372\pi\)
\(90\) 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 \(0.278295\pi\)
−0.831668 + 0.555273i \(0.812614\pi\)
\(98\) −6.28545 3.08110i −0.634926 0.311238i
\(99\) −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 −0.0892605 0.996008i \(-0.528450\pi\)
0.194963 + 0.980811i \(0.437541\pi\)
\(102\) −2.88206 1.31619i −0.285366 0.130322i
\(103\) 14.7740 4.33804i 1.45572 0.427439i 0.544295 0.838894i \(-0.316797\pi\)
0.911430 + 0.411455i \(0.134979\pi\)
\(104\) −0.841974 2.86750i −0.0825624 0.281182i
\(105\) 4.33137 3.15085i 0.422698 0.307491i
\(106\) 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
\(112\) 0.890580 + 2.49136i 0.0841519 + 0.235411i
\(113\) −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
\(119\) −7.41165 + 3.91634i −0.679425 + 0.359011i
\(120\) −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
\(126\) 0.597727 2.57735i 0.0532497 0.229608i
\(127\) 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 −0.339433 0.940630i \(-0.610235\pi\)
0.488600 + 0.872508i \(0.337508\pi\)
\(132\) 4.22687 2.71645i 0.367902 0.236436i
\(133\) −13.7268 10.5720i −1.19027 0.916707i
\(134\) 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 \(-0.731439\pi\)
0.664697 0.747113i \(-0.268561\pi\)
\(140\) −3.83887 + 3.73519i −0.324443 + 0.315681i
\(141\) 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
\(147\) −4.43751 5.41373i −0.365999 0.446517i
\(148\) 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
\(154\) 1.12975 13.2455i 0.0910375 1.06735i
\(155\) −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 0.853856 0.520510i \(-0.174258\pi\)
−0.118768 + 0.992922i \(0.537895\pi\)
\(158\) −6.93783 6.01166i −0.551944 0.478262i
\(159\) 3.48492 + 1.02327i 0.276372 + 0.0811502i
\(160\) 2.02444 0.160046
\(161\) 4.23618 11.9606i 0.333858 0.942623i
\(162\) 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 \(-0.987637\pi\)
0.379780 0.925077i \(-0.376000\pi\)
\(168\) −0.224848 + 2.63618i −0.0173474 + 0.203386i
\(169\) −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 \(-0.951421\pi\)
0.749286 0.662246i \(-0.230397\pi\)
\(174\) −8.47231 3.86917i −0.642284 0.293321i
\(175\) 2.22348 + 0.864161i 0.168079 + 0.0653244i
\(176\) −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 −0.356423 0.934325i \(-0.616004\pi\)
0.975539 + 0.219827i \(0.0705494\pi\)
\(182\) −5.51403 5.66708i −0.408727 0.420072i
\(183\) 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
\(189\) 1.61438 2.09613i 0.117429 0.152471i
\(190\) −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
\(196\) 5.16280 + 4.72711i 0.368771 + 0.337651i
\(197\) −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 0.797957 0.602714i \(-0.205914\pi\)
−0.710141 + 0.704060i \(0.751369\pi\)
\(200\) −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
\(203\) −21.7878 + 11.5128i −1.52921 + 0.808038i
\(204\) 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
\(210\) −5.04361 + 1.80293i −0.348042 + 0.124414i
\(211\) −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
\(217\) −19.0779 + 13.8782i −1.29509 + 0.942114i
\(218\) −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 \(-0.224637\pi\)
0.988609 0.150506i \(-0.0480904\pi\)
\(224\) −0.152608 2.64135i −0.0101966 0.176482i
\(225\) −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 −0.427775 0.903885i \(-0.640702\pi\)
0.955564 + 0.294784i \(0.0952478\pi\)
\(228\) −1.84496 + 6.28337i −0.122186 + 0.416126i
\(229\) −8.68759 −0.574092 −0.287046 0.957917i \(-0.592673\pi\)
−0.287046 + 0.957917i \(0.592673\pi\)
\(230\) −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
\(238\) 8.21479 1.66960i 0.532486 0.108224i
\(239\) −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 −0.541326 0.840813i \(-0.682078\pi\)
−0.000814869 1.00000i \(0.500259\pi\)
\(242\) 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
\(245\) −4.36313 + 13.4827i −0.278750 + 0.861378i
\(246\) 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 0.804630 0.593777i \(-0.202364\pi\)
0.355878 + 0.934533i \(0.384182\pi\)
\(252\) −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 \(-0.627058\pi\)
0.999573 0.0292316i \(-0.00930603\pi\)
\(258\) 1.31614 9.15396i 0.0819394 0.569901i
\(259\) 23.6883 1.36863i 1.47192 0.0850426i
\(260\) −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
\(266\) 10.1923 + 14.0110i 0.624930 + 0.859072i
\(267\) −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 −0.288310 0.957537i \(-0.593093\pi\)
0.534855 + 0.844944i \(0.320366\pi\)
\(270\) −1.09450 1.70307i −0.0666089 0.103645i
\(271\) 15.8140 + 2.27371i 0.960634 + 0.138118i 0.604753 0.796413i \(-0.293272\pi\)
0.355881 + 0.934531i \(0.384181\pi\)
\(272\) −2.66541 1.71295i −0.161614 0.103863i
\(273\) −2.66155 7.44557i −0.161084 0.450626i
\(274\) 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
\(280\) 4.73569 2.50236i 0.283012 0.149544i
\(281\) 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 \(0.151110\pi\)
−0.236995 + 0.971511i \(0.576163\pi\)
\(284\) 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
\(287\) 10.0933 + 2.34080i 0.595790 + 0.138173i
\(288\) 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 −0.947158 0.320766i \(-0.896060\pi\)
−0.101685 + 0.994817i \(0.532423\pi\)
\(294\) 2.73253 + 6.44463i 0.159365 + 0.375859i
\(295\) 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
\(301\) −17.0632 17.5368i −0.983505 1.01080i
\(302\) 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 −0.170085 0.985429i \(-0.554404\pi\)
0.951194 + 0.308595i \(0.0998587\pi\)
\(308\) −4.81566 + 12.3906i −0.274398 + 0.706022i
\(309\) −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 \(-0.936037\pi\)
0.716416 0.697674i \(-0.245781\pi\)
\(312\) −1.24149 + 2.71849i −0.0702856 + 0.153904i
\(313\) −3.66602 25.4977i −0.207216 1.44122i −0.782188 0.623043i \(-0.785896\pi\)
0.574972 0.818173i \(-0.305013\pi\)
\(314\) −7.16986 8.27446i −0.404619 0.466955i
\(315\) −5.33679 0.455191i −0.300694 0.0256471i
\(316\) 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
\(322\) −7.43426 + 10.2826i −0.414295 + 0.573027i
\(323\) 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
\(329\) −1.88748 + 22.1293i −0.104060 + 1.22003i
\(330\) −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
\(336\) 0.958437 2.46605i 0.0522871 0.134534i
\(337\) −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
\(343\) 17.9202 + 4.67633i 0.967597 + 0.252498i
\(344\) 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 \(0.466535\pi\)
−0.948203 + 0.317664i \(0.897101\pi\)
\(350\) −1.88995 1.45558i −0.101022 0.0778041i
\(351\) 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 −0.000690163 1.00000i \(-0.500220\pi\)
0.989723 + 0.142998i \(0.0456742\pi\)
\(354\) −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
\(357\) 8.16601 + 1.89382i 0.432191 + 0.100232i
\(358\) −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
\(364\) 3.69407 + 6.99101i 0.193622 + 0.366428i
\(365\) −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 \(-0.576760\pi\)
−0.238817 + 0.971065i \(0.576760\pi\)
\(368\) 4.72417 0.825985i 0.246264 0.0430574i
\(369\) 3.91617i 0.203868i
\(370\) 5.11506 17.4203i 0.265919 0.905638i
\(371\) −9.04872 + 3.23463i −0.469786 + 0.167933i
\(372\) 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
\(378\) −2.13954 + 1.55640i −0.110046 + 0.0800527i
\(379\) 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 0.973129 0.230261i \(-0.0739579\pi\)
−0.366408 + 0.930454i \(0.619412\pi\)
\(384\) −0.909632 + 0.415415i −0.0464195 + 0.0211991i
\(385\) −26.8672 + 1.55230i −1.36928 + 0.0791126i
\(386\) 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 \(0.0545385\pi\)
−0.254239 + 0.967141i \(0.581825\pi\)
\(398\) −0.785844 1.72076i −0.0393908 0.0862539i
\(399\) 3.45085 + 16.9789i 0.172759 + 0.850009i
\(400\) 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
\(406\) 24.1488 4.90808i 1.19848 0.243584i
\(407\) 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 0.181513 0.983389i \(-0.441900\pi\)
−0.102892 + 0.994693i \(0.532810\pi\)
\(410\) 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 \(-0.898755\pi\)
0.999473 0.0324668i \(-0.0103363\pi\)
\(420\) 5.34725 0.308947i 0.260919 0.0150751i
\(421\) −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
\(427\) −13.4258 18.4560i −0.649721 0.893150i
\(428\) −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 0.909752 0.415151i \(-0.136271\pi\)
0.000289984 1.00000i \(0.499908\pi\)
\(434\) 22.2151 7.94117i 1.06636 0.381188i
\(435\) −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 −0.994937 0.100501i \(-0.967955\pi\)
0.891329 + 0.453357i \(0.149774\pi\)
\(440\) 7.68733 + 6.66111i 0.366479 + 0.317556i
\(441\) −0.191598 + 6.99738i −0.00912369 + 0.333208i
\(442\) 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
\(448\) −0.597727 + 2.57735i −0.0282399 + 0.121768i
\(449\) 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
\(455\) −9.76726 + 12.6819i −0.457896 + 0.594539i
\(456\) 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 \(-0.729104\pi\)
0.659197 0.751970i \(-0.270896\pi\)
\(462\) −9.52774 + 9.27043i −0.443271 + 0.431299i
\(463\) 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 0.969673 0.244406i \(-0.0785929\pi\)
−0.819710 + 0.572778i \(0.805866\pi\)
\(468\) −2.25860 + 1.95709i −0.104404 + 0.0904665i
\(469\) −2.90180 + 7.46630i −0.133993 + 0.344762i
\(470\) 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
\(476\) −8.35241 0.712403i −0.382832 0.0326529i
\(477\) −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 0.796022 0.605268i \(-0.206934\pi\)
−0.219892 + 0.975524i \(0.570570\pi\)
\(480\) −1.52997 1.32573i −0.0698333 0.0605109i
\(481\) 25.7165 + 7.55104i 1.17257 + 0.344298i
\(482\) 8.77160 0.399536
\(483\) −11.0340 + 6.26507i −0.502064 + 0.285071i
\(484\) −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
\(490\) 7.98491 11.7073i 0.360721 0.528883i
\(491\) −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
\(497\) 19.6837 + 7.65013i 0.882935 + 0.343155i
\(498\) −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 \(-0.430787\pi\)
0.935813 0.352497i \(-0.114667\pi\)
\(504\) 1.89626 1.84505i 0.0844661 0.0821850i
\(505\) 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 0.819004 0.573788i \(-0.194527\pi\)
−0.451392 + 0.892326i \(0.649072\pi\)
\(510\) 3.46778 5.39597i 0.153556 0.238937i
\(511\) −19.0534 + 24.7392i −0.842872 + 1.09440i
\(512\) 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
\(518\) −23.1143 5.36057i −1.01559 0.235530i
\(519\) −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 0.648729 0.761019i \(-0.275301\pi\)
−0.845597 + 0.533822i \(0.820755\pi\)
\(522\) 3.86917 + 8.47231i 0.169349 + 0.370823i
\(523\) 24.8058 15.9417i 1.08468 0.697082i 0.129046 0.991639i \(-0.458808\pi\)
0.955634 + 0.294557i \(0.0951721\pi\)
\(524\) 1.85781 + 0.267113i 0.0811588 + 0.0116689i
\(525\) −1.11449 2.10916i −0.0486402 0.0920511i
\(526\) −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
\(532\) −5.83208 16.3150i −0.252853 0.707345i
\(533\) 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
\(539\) 4.05066 + 34.9374i 0.174474 + 1.50486i
\(540\) 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
\(546\) 0.456079 + 7.89382i 0.0195184 + 0.337824i
\(547\) −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
\(560\) −5.24886 + 1.06680i −0.221805 + 0.0450803i
\(561\) 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 −0.736342 0.676610i \(-0.763448\pi\)
−0.253647 + 0.967297i \(0.581630\pi\)
\(564\) 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
\(567\) −2.59274 + 0.526958i −0.108885 + 0.0221301i
\(568\) −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 \(-0.706852\pi\)
0.939457 0.342666i \(-0.111330\pi\)
\(578\) 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
\(581\) 0.180612 + 3.12604i 0.00749306 + 0.129690i
\(582\) −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 0.980130 0.198355i \(-0.0635599\pi\)
−0.931777 + 0.363032i \(0.881742\pi\)
\(588\) −0.806183 6.95342i −0.0332464 0.286754i
\(589\) 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 0.508321 0.861168i \(-0.330266\pi\)
0.245111 + 0.969495i \(0.421175\pi\)
\(594\) −4.22687 2.71645i −0.173431 0.111457i
\(595\) −5.71236 15.9801i −0.234184 0.655119i
\(596\) 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 0.423558 0.905869i \(-0.360781\pi\)
−0.836370 + 0.548165i \(0.815326\pi\)
\(602\) 11.4313 + 21.6337i 0.465906 + 0.881723i
\(603\) −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 −0.953175 0.302419i \(-0.902206\pi\)
−0.829364 + 0.558709i \(0.811297\pi\)
\(608\) −2.72040 + 5.95685i −0.110327 + 0.241582i
\(609\) 24.0054 + 5.56722i 0.972748 + 0.225595i
\(610\) −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
\(616\) 8.11144 10.5320i 0.326819 0.424347i
\(617\) −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 0.723079 0.690765i \(-0.242726\pi\)
0.234837 + 0.972035i \(0.424544\pi\)
\(620\) 18.0517i 0.724972i
\(621\) −3.24894 3.52766i −0.130375 0.141560i
\(622\) 16.4916i 0.661251i
\(623\) 2.12317 2.06583i 0.0850631 0.0827659i
\(624\) 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
\(630\) 4.99237 + 1.94030i 0.198901 + 0.0773034i
\(631\) 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
\(637\) 17.2828 + 11.7876i 0.684769 + 0.467042i
\(638\) 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 \(-0.600715\pi\)
−0.311152 + 0.950360i \(0.600715\pi\)
\(644\) 10.0301 7.77160i 0.395240 0.306244i
\(645\) −18.7222 −0.737187
\(646\) −19.9081 5.84554i −0.783273 0.229990i
\(647\) −6.51246 5.64308i −0.256031 0.221852i 0.517382 0.855755i \(-0.326907\pi\)
−0.773413 + 0.633902i \(0.781452\pi\)
\(648\) 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
\(651\) 23.5064 + 2.00493i 0.921289 + 0.0785796i
\(652\) −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
\(658\) 8.04557 20.7012i 0.313649 0.807016i
\(659\) 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 −0.422160 0.906522i \(-0.638728\pi\)
0.649230 + 0.760593i \(0.275091\pi\)
\(662\) 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
\(665\) 25.1393 24.4604i 0.974861 0.948534i
\(666\) 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
\(672\) −1.61438 + 2.09613i −0.0622761 + 0.0808601i
\(673\) 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 \(0.452308\pi\)
−0.845033 + 0.534715i \(0.820419\pi\)
\(678\) −2.62774 + 0.771575i −0.100918 + 0.0296322i
\(679\) −7.86469 + 33.9119i −0.301819 + 1.30142i
\(680\) −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
\(686\) −15.8768 9.53560i −0.606179 0.364071i
\(687\) 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 \(-0.810145\pi\)
0.827337 0.561706i \(-0.189855\pi\)
\(692\) 3.14475 10.7100i 0.119545 0.407134i
\(693\) −12.5178 + 4.47471i −0.475512 + 0.169980i
\(694\) −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
\(700\) 1.40331 + 1.92908i 0.0530400 + 0.0729124i
\(701\) −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
\(707\) 2.83475 0.163783i 0.106612 0.00615968i
\(708\) −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 \(-0.911185\pi\)
0.148823 0.988864i \(-0.452451\pi\)
\(720\) −0.840984 1.84150i −0.0313416 0.0686285i
\(721\) 39.9223 8.11394i 1.48678 0.302179i
\(722\) −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 \(0.210661\pi\)
−0.583789 + 0.811906i \(0.698430\pi\)
\(728\) −1.57484 7.74856i −0.0583676 0.287181i
\(729\) −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 −0.153417 0.988162i \(-0.549028\pi\)
0.999937 + 0.0112249i \(0.00357307\pi\)
\(734\) 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
\(742\) 9.59349 0.554280i 0.352188 0.0203483i
\(743\) −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
\(749\) −19.0022 + 13.8231i −0.694325 + 0.505086i
\(750\) −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
\(756\) 2.49136 0.890580i 0.0906098 0.0323901i
\(757\) −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 \(-0.702412\pi\)
0.934587 0.355735i \(-0.115769\pi\)
\(762\) 6.03231 + 5.22702i 0.218527 + 0.189355i
\(763\) 16.8747 + 31.9352i 0.610904 + 1.15613i
\(764\) 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 \(-0.559908\pi\)
0.864928 0.501897i \(-0.167364\pi\)
\(770\) 26.2162 + 6.07995i 0.944768 + 0.219106i
\(771\) −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 \(-0.876541\pi\)
0.781671 0.623691i \(-0.214368\pi\)
\(774\) −6.98924 + 6.05621i −0.251223 + 0.217686i</