Properties

Label 273.2.bh.a.131.3
Level $273$
Weight $2$
Character 273.131
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bh (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 131.3
Character \(\chi\) \(=\) 273.131
Dual form 273.2.bh.a.248.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.13803 - 1.23439i) q^{2} +(1.47880 + 0.901745i) q^{3} +(2.04745 + 3.54630i) q^{4} +(1.98059 - 3.43049i) q^{5} +(-2.04862 - 3.75338i) q^{6} +(2.62523 - 0.328920i) q^{7} -5.17189i q^{8} +(1.37371 + 2.66701i) q^{9} +O(q^{10})\) \(q+(-2.13803 - 1.23439i) q^{2} +(1.47880 + 0.901745i) q^{3} +(2.04745 + 3.54630i) q^{4} +(1.98059 - 3.43049i) q^{5} +(-2.04862 - 3.75338i) q^{6} +(2.62523 - 0.328920i) q^{7} -5.17189i q^{8} +(1.37371 + 2.66701i) q^{9} +(-8.46914 + 4.88966i) q^{10} +(-2.50371 + 1.44552i) q^{11} +(-0.170076 + 7.09055i) q^{12} -1.00000i q^{13} +(-6.01884 - 2.53732i) q^{14} +(6.02233 - 3.28702i) q^{15} +(-2.28923 + 3.96507i) q^{16} +(2.85559 + 4.94603i) q^{17} +(0.355098 - 7.39784i) q^{18} +(-2.00211 - 1.15592i) q^{19} +16.2207 q^{20} +(4.17879 + 1.88088i) q^{21} +7.13734 q^{22} +(-0.664954 - 0.383911i) q^{23} +(4.66372 - 7.64819i) q^{24} +(-5.34549 - 9.25867i) q^{25} +(-1.23439 + 2.13803i) q^{26} +(-0.373515 + 5.18271i) q^{27} +(6.54148 + 8.63638i) q^{28} -5.11554i q^{29} +(-16.9334 - 0.406170i) q^{30} +(0.564978 - 0.326190i) q^{31} +(0.830937 - 0.479742i) q^{32} +(-5.00598 - 0.120075i) q^{33} -14.0997i q^{34} +(4.07115 - 9.65726i) q^{35} +(-6.64538 + 10.3322i) q^{36} +(1.28443 - 2.22471i) q^{37} +(2.85371 + 4.94278i) q^{38} +(0.901745 - 1.47880i) q^{39} +(-17.7421 - 10.2434i) q^{40} +2.44391 q^{41} +(-6.61265 - 9.17965i) q^{42} -8.81304 q^{43} +(-10.2525 - 5.91926i) q^{44} +(11.8699 + 0.569757i) q^{45} +(0.947795 + 1.64163i) q^{46} +(-1.84210 + 3.19061i) q^{47} +(-6.96080 + 3.79924i) q^{48} +(6.78362 - 1.72698i) q^{49} +26.3938i q^{50} +(-0.237205 + 9.88921i) q^{51} +(3.54630 - 2.04745i) q^{52} +(5.17790 - 2.98946i) q^{53} +(7.19609 - 10.6197i) q^{54} +11.4519i q^{55} +(-1.70114 - 13.5774i) q^{56} +(-1.91838 - 3.51476i) q^{57} +(-6.31459 + 10.9372i) q^{58} +(-0.198362 - 0.343574i) q^{59} +(23.9872 + 14.6269i) q^{60} +(3.42009 + 1.97459i) q^{61} -1.61059 q^{62} +(4.48353 + 6.54965i) q^{63} +6.78817 q^{64} +(-3.43049 - 1.98059i) q^{65} +(10.5547 + 6.43607i) q^{66} +(1.12645 + 1.95107i) q^{67} +(-11.6934 + 20.2535i) q^{68} +(-0.637145 - 1.16735i) q^{69} +(-20.6251 + 15.6221i) q^{70} +5.63534i q^{71} +(13.7934 - 7.10467i) q^{72} +(-13.0917 + 7.55849i) q^{73} +(-5.49233 + 3.17100i) q^{74} +(0.444034 - 18.5120i) q^{75} -9.46675i q^{76} +(-6.09734 + 4.61833i) q^{77} +(-3.75338 + 2.04862i) q^{78} +(-2.76357 + 4.78664i) q^{79} +(9.06807 + 15.7064i) q^{80} +(-5.22584 + 7.32739i) q^{81} +(-5.22515 - 3.01674i) q^{82} -16.7641 q^{83} +(1.88574 + 18.6702i) q^{84} +22.6230 q^{85} +(18.8426 + 10.8788i) q^{86} +(4.61291 - 7.56487i) q^{87} +(7.47604 + 12.9489i) q^{88} +(3.59294 - 6.22316i) q^{89} +(-24.6749 - 15.8703i) q^{90} +(-0.328920 - 2.62523i) q^{91} -3.14416i q^{92} +(1.12963 + 0.0270957i) q^{93} +(7.87694 - 4.54775i) q^{94} +(-7.93072 + 4.57880i) q^{95} +(1.66140 + 0.0398507i) q^{96} +2.08050i q^{97} +(-16.6354 - 4.68132i) q^{98} +(-7.29457 - 4.69168i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} + O(q^{10}) \) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} - 12q^{10} - 30q^{12} + 12q^{15} - 16q^{16} - 10q^{18} + 10q^{21} - 8q^{22} + 36q^{24} - 36q^{25} - 20q^{28} - 22q^{30} + 12q^{31} + 36q^{36} - 36q^{40} + 48q^{42} - 32q^{43} - 6q^{45} - 48q^{46} + 36q^{49} - 16q^{51} - 54q^{54} - 8q^{57} - 12q^{58} + 16q^{60} - 72q^{61} - 86q^{63} - 48q^{64} - 78q^{66} + 32q^{67} - 4q^{70} + 62q^{72} + 48q^{73} + 48q^{75} - 20q^{78} - 64q^{79} + 28q^{81} + 72q^{82} - 18q^{84} + 64q^{85} + 60q^{87} + 44q^{88} + 8q^{91} - 38q^{93} + 72q^{94} + 66q^{96} - 68q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.13803 1.23439i −1.51182 0.872848i −0.999905 0.0138104i \(-0.995604\pi\)
−0.511913 0.859038i \(-0.671063\pi\)
\(3\) 1.47880 + 0.901745i 0.853787 + 0.520623i
\(4\) 2.04745 + 3.54630i 1.02373 + 1.77315i
\(5\) 1.98059 3.43049i 0.885748 1.53416i 0.0408938 0.999163i \(-0.486979\pi\)
0.844854 0.534997i \(-0.179687\pi\)
\(6\) −2.04862 3.75338i −0.836345 1.53231i
\(7\) 2.62523 0.328920i 0.992242 0.124320i
\(8\) 5.17189i 1.82854i
\(9\) 1.37371 + 2.66701i 0.457903 + 0.889002i
\(10\) −8.46914 + 4.88966i −2.67818 + 1.54625i
\(11\) −2.50371 + 1.44552i −0.754896 + 0.435840i −0.827460 0.561524i \(-0.810215\pi\)
0.0725641 + 0.997364i \(0.476882\pi\)
\(12\) −0.170076 + 7.09055i −0.0490967 + 2.04687i
\(13\) 1.00000i 0.277350i
\(14\) −6.01884 2.53732i −1.60860 0.678127i
\(15\) 6.02233 3.28702i 1.55496 0.848705i
\(16\) −2.28923 + 3.96507i −0.572308 + 0.991267i
\(17\) 2.85559 + 4.94603i 0.692582 + 1.19959i 0.970989 + 0.239125i \(0.0768604\pi\)
−0.278406 + 0.960463i \(0.589806\pi\)
\(18\) 0.355098 7.39784i 0.0836974 1.74369i
\(19\) −2.00211 1.15592i −0.459315 0.265186i 0.252441 0.967612i \(-0.418767\pi\)
−0.711756 + 0.702427i \(0.752100\pi\)
\(20\) 16.2207 3.62706
\(21\) 4.17879 + 1.88088i 0.911887 + 0.410441i
\(22\) 7.13734 1.52169
\(23\) −0.664954 0.383911i −0.138652 0.0800510i 0.429069 0.903272i \(-0.358842\pi\)
−0.567722 + 0.823221i \(0.692175\pi\)
\(24\) 4.66372 7.64819i 0.951979 1.56118i
\(25\) −5.34549 9.25867i −1.06910 1.85173i
\(26\) −1.23439 + 2.13803i −0.242084 + 0.419303i
\(27\) −0.373515 + 5.18271i −0.0718830 + 0.997413i
\(28\) 6.54148 + 8.63638i 1.23622 + 1.63212i
\(29\) 5.11554i 0.949931i −0.880004 0.474966i \(-0.842460\pi\)
0.880004 0.474966i \(-0.157540\pi\)
\(30\) −16.9334 0.406170i −3.09160 0.0741561i
\(31\) 0.564978 0.326190i 0.101473 0.0585855i −0.448405 0.893831i \(-0.648008\pi\)
0.549878 + 0.835245i \(0.314674\pi\)
\(32\) 0.830937 0.479742i 0.146890 0.0848071i
\(33\) −5.00598 0.120075i −0.871428 0.0209023i
\(34\) 14.0997i 2.41808i
\(35\) 4.07115 9.65726i 0.688149 1.63237i
\(36\) −6.64538 + 10.3322i −1.10756 + 1.72203i
\(37\) 1.28443 2.22471i 0.211160 0.365739i −0.740918 0.671596i \(-0.765609\pi\)
0.952078 + 0.305856i \(0.0989426\pi\)
\(38\) 2.85371 + 4.94278i 0.462933 + 0.801824i
\(39\) 0.901745 1.47880i 0.144395 0.236798i
\(40\) −17.7421 10.2434i −2.80527 1.61962i
\(41\) 2.44391 0.381674 0.190837 0.981622i \(-0.438880\pi\)
0.190837 + 0.981622i \(0.438880\pi\)
\(42\) −6.61265 9.17965i −1.02035 1.41645i
\(43\) −8.81304 −1.34398 −0.671988 0.740562i \(-0.734559\pi\)
−0.671988 + 0.740562i \(0.734559\pi\)
\(44\) −10.2525 5.91926i −1.54562 0.892362i
\(45\) 11.8699 + 0.569757i 1.76946 + 0.0849343i
\(46\) 0.947795 + 1.64163i 0.139745 + 0.242045i
\(47\) −1.84210 + 3.19061i −0.268698 + 0.465398i −0.968526 0.248913i \(-0.919927\pi\)
0.699828 + 0.714311i \(0.253260\pi\)
\(48\) −6.96080 + 3.79924i −1.00471 + 0.548374i
\(49\) 6.78362 1.72698i 0.969089 0.246712i
\(50\) 26.3938i 3.73264i
\(51\) −0.237205 + 9.88921i −0.0332154 + 1.38477i
\(52\) 3.54630 2.04745i 0.491783 0.283931i
\(53\) 5.17790 2.98946i 0.711239 0.410634i −0.100281 0.994959i \(-0.531974\pi\)
0.811520 + 0.584325i \(0.198641\pi\)
\(54\) 7.19609 10.6197i 0.979264 1.44516i
\(55\) 11.4519i 1.54418i
\(56\) −1.70114 13.5774i −0.227324 1.81435i
\(57\) −1.91838 3.51476i −0.254095 0.465542i
\(58\) −6.31459 + 10.9372i −0.829146 + 1.43612i
\(59\) −0.198362 0.343574i −0.0258246 0.0447295i 0.852824 0.522198i \(-0.174888\pi\)
−0.878649 + 0.477468i \(0.841554\pi\)
\(60\) 23.9872 + 14.6269i 3.09673 + 1.88833i
\(61\) 3.42009 + 1.97459i 0.437897 + 0.252820i 0.702705 0.711481i \(-0.251975\pi\)
−0.264808 + 0.964301i \(0.585309\pi\)
\(62\) −1.61059 −0.204545
\(63\) 4.48353 + 6.54965i 0.564872 + 0.825179i
\(64\) 6.78817 0.848521
\(65\) −3.43049 1.98059i −0.425500 0.245662i
\(66\) 10.5547 + 6.43607i 1.29920 + 0.792225i
\(67\) 1.12645 + 1.95107i 0.137618 + 0.238361i 0.926594 0.376062i \(-0.122722\pi\)
−0.788977 + 0.614423i \(0.789389\pi\)
\(68\) −11.6934 + 20.2535i −1.41803 + 2.45610i
\(69\) −0.637145 1.16735i −0.0767032 0.140532i
\(70\) −20.6251 + 15.6221i −2.46517 + 1.86720i
\(71\) 5.63534i 0.668792i 0.942433 + 0.334396i \(0.108532\pi\)
−0.942433 + 0.334396i \(0.891468\pi\)
\(72\) 13.7934 7.10467i 1.62557 0.837294i
\(73\) −13.0917 + 7.55849i −1.53227 + 0.884654i −0.533009 + 0.846109i \(0.678939\pi\)
−0.999257 + 0.0385447i \(0.987728\pi\)
\(74\) −5.49233 + 3.17100i −0.638470 + 0.368621i
\(75\) 0.444034 18.5120i 0.0512726 2.13758i
\(76\) 9.46675i 1.08591i
\(77\) −6.09734 + 4.61833i −0.694856 + 0.526307i
\(78\) −3.75338 + 2.04862i −0.424987 + 0.231960i
\(79\) −2.76357 + 4.78664i −0.310926 + 0.538539i −0.978563 0.205947i \(-0.933972\pi\)
0.667637 + 0.744487i \(0.267306\pi\)
\(80\) 9.06807 + 15.7064i 1.01384 + 1.75602i
\(81\) −5.22584 + 7.32739i −0.580649 + 0.814154i
\(82\) −5.22515 3.01674i −0.577021 0.333143i
\(83\) −16.7641 −1.84010 −0.920048 0.391806i \(-0.871850\pi\)
−0.920048 + 0.391806i \(0.871850\pi\)
\(84\) 1.88574 + 18.6702i 0.205751 + 2.03709i
\(85\) 22.6230 2.45381
\(86\) 18.8426 + 10.8788i 2.03184 + 1.17309i
\(87\) 4.61291 7.56487i 0.494556 0.811039i
\(88\) 7.47604 + 12.9489i 0.796949 + 1.38036i
\(89\) 3.59294 6.22316i 0.380851 0.659653i −0.610333 0.792145i \(-0.708964\pi\)
0.991184 + 0.132491i \(0.0422977\pi\)
\(90\) −24.6749 15.8703i −2.60096 1.67287i
\(91\) −0.328920 2.62523i −0.0344802 0.275198i
\(92\) 3.14416i 0.327802i
\(93\) 1.12963 + 0.0270957i 0.117137 + 0.00280969i
\(94\) 7.87694 4.54775i 0.812444 0.469065i
\(95\) −7.93072 + 4.57880i −0.813674 + 0.469775i
\(96\) 1.66140 + 0.0398507i 0.169566 + 0.00406725i
\(97\) 2.08050i 0.211242i 0.994406 + 0.105621i \(0.0336831\pi\)
−0.994406 + 0.105621i \(0.966317\pi\)
\(98\) −16.6354 4.68132i −1.68043 0.472885i
\(99\) −7.29457 4.69168i −0.733132 0.471532i
\(100\) 21.8893 37.9134i 2.18893 3.79134i
\(101\) −7.53326 13.0480i −0.749587 1.29832i −0.948021 0.318209i \(-0.896919\pi\)
0.198433 0.980114i \(-0.436415\pi\)
\(102\) 12.7143 20.8506i 1.25891 2.06452i
\(103\) 9.15683 + 5.28670i 0.902249 + 0.520914i 0.877929 0.478791i \(-0.158925\pi\)
0.0243198 + 0.999704i \(0.492258\pi\)
\(104\) −5.17189 −0.507145
\(105\) 14.7288 10.6100i 1.43738 1.03543i
\(106\) −14.7607 −1.43368
\(107\) −1.24801 0.720540i −0.120650 0.0696572i 0.438461 0.898750i \(-0.355524\pi\)
−0.559110 + 0.829093i \(0.688857\pi\)
\(108\) −19.1442 + 9.28677i −1.84215 + 0.893620i
\(109\) 0.00139677 + 0.00241928i 0.000133787 + 0.000231725i 0.866092 0.499884i \(-0.166624\pi\)
−0.865959 + 0.500116i \(0.833291\pi\)
\(110\) 14.1362 24.4846i 1.34783 2.33451i
\(111\) 3.90554 2.13167i 0.370698 0.202329i
\(112\) −4.70556 + 11.1622i −0.444634 + 1.05473i
\(113\) 15.2930i 1.43864i 0.694678 + 0.719321i \(0.255547\pi\)
−0.694678 + 0.719321i \(0.744453\pi\)
\(114\) −0.237049 + 9.88271i −0.0222017 + 0.925600i
\(115\) −2.63400 + 1.52074i −0.245622 + 0.141810i
\(116\) 18.1412 10.4738i 1.68437 0.972471i
\(117\) 2.66701 1.37371i 0.246565 0.127000i
\(118\) 0.979429i 0.0901638i
\(119\) 9.12342 + 12.0452i 0.836343 + 1.10418i
\(120\) −17.0001 31.1468i −1.55189 2.84330i
\(121\) −1.32097 + 2.28798i −0.120088 + 0.207998i
\(122\) −4.87484 8.44347i −0.441347 0.764436i
\(123\) 3.61405 + 2.20378i 0.325868 + 0.198708i
\(124\) 2.31353 + 1.33572i 0.207762 + 0.119951i
\(125\) −22.5430 −2.01631
\(126\) −1.50109 19.5378i −0.133728 1.74057i
\(127\) −16.5236 −1.46623 −0.733115 0.680104i \(-0.761934\pi\)
−0.733115 + 0.680104i \(0.761934\pi\)
\(128\) −16.1752 9.33876i −1.42970 0.825437i
\(129\) −13.0327 7.94711i −1.14747 0.699704i
\(130\) 4.88966 + 8.46914i 0.428852 + 0.742793i
\(131\) −5.98646 + 10.3689i −0.523040 + 0.905931i 0.476601 + 0.879120i \(0.341869\pi\)
−0.999641 + 0.0268116i \(0.991465\pi\)
\(132\) −9.82369 17.9985i −0.855042 1.56657i
\(133\) −5.63619 2.37601i −0.488719 0.206026i
\(134\) 5.56193i 0.480478i
\(135\) 17.0394 + 11.5462i 1.46652 + 0.993737i
\(136\) 25.5803 14.7688i 2.19349 1.26641i
\(137\) 5.96118 3.44169i 0.509298 0.294043i −0.223247 0.974762i \(-0.571666\pi\)
0.732545 + 0.680719i \(0.238332\pi\)
\(138\) −0.0787305 + 3.28231i −0.00670199 + 0.279409i
\(139\) 12.0004i 1.01786i 0.860808 + 0.508929i \(0.169959\pi\)
−0.860808 + 0.508929i \(0.830041\pi\)
\(140\) 42.5830 5.33532i 3.59892 0.450917i
\(141\) −5.60122 + 3.05718i −0.471708 + 0.257461i
\(142\) 6.95623 12.0485i 0.583754 1.01109i
\(143\) 1.44552 + 2.50371i 0.120880 + 0.209371i
\(144\) −13.7196 0.658543i −1.14330 0.0548786i
\(145\) −17.5488 10.1318i −1.45735 0.841400i
\(146\) 37.3206 3.08867
\(147\) 11.5889 + 3.56324i 0.955839 + 0.293891i
\(148\) 10.5193 0.864680
\(149\) −1.87342 1.08162i −0.153477 0.0886098i 0.421295 0.906924i \(-0.361576\pi\)
−0.574772 + 0.818314i \(0.694909\pi\)
\(150\) −23.8005 + 39.0312i −1.94330 + 3.18688i
\(151\) −0.837446 1.45050i −0.0681504 0.118040i 0.829937 0.557858i \(-0.188376\pi\)
−0.898087 + 0.439818i \(0.855043\pi\)
\(152\) −5.97827 + 10.3547i −0.484902 + 0.839874i
\(153\) −9.26833 + 14.4103i −0.749300 + 1.16500i
\(154\) 18.7371 2.34762i 1.50988 0.189176i
\(155\) 2.58420i 0.207568i
\(156\) 7.09055 + 0.170076i 0.567698 + 0.0136170i
\(157\) −8.58266 + 4.95520i −0.684971 + 0.395468i −0.801725 0.597693i \(-0.796084\pi\)
0.116755 + 0.993161i \(0.462751\pi\)
\(158\) 11.8172 6.82266i 0.940126 0.542782i
\(159\) 10.3528 + 0.248326i 0.821032 + 0.0196935i
\(160\) 3.80069i 0.300471i
\(161\) −1.87193 0.789137i −0.147529 0.0621927i
\(162\) 20.2179 9.21545i 1.58847 0.724034i
\(163\) 3.53264 6.11871i 0.276698 0.479255i −0.693864 0.720106i \(-0.744093\pi\)
0.970562 + 0.240851i \(0.0774266\pi\)
\(164\) 5.00379 + 8.66682i 0.390730 + 0.676765i
\(165\) −10.3267 + 16.9351i −0.803933 + 1.31840i
\(166\) 35.8421 + 20.6935i 2.78189 + 1.60612i
\(167\) 23.5834 1.82494 0.912469 0.409146i \(-0.134173\pi\)
0.912469 + 0.409146i \(0.134173\pi\)
\(168\) 9.72768 21.6122i 0.750507 1.66742i
\(169\) −1.00000 −0.0769231
\(170\) −48.3688 27.9257i −3.70972 2.14181i
\(171\) 0.332522 6.92753i 0.0254286 0.529761i
\(172\) −18.0443 31.2536i −1.37586 2.38307i
\(173\) 1.75835 3.04555i 0.133685 0.231549i −0.791409 0.611287i \(-0.790652\pi\)
0.925094 + 0.379737i \(0.123986\pi\)
\(174\) −19.2006 + 10.4798i −1.45559 + 0.794470i
\(175\) −17.0785 22.5478i −1.29101 1.70446i
\(176\) 13.2365i 0.997738i
\(177\) 0.0164774 0.686950i 0.00123852 0.0516343i
\(178\) −15.3637 + 8.87021i −1.15155 + 0.664850i
\(179\) 19.8506 11.4607i 1.48370 0.856615i 0.483872 0.875139i \(-0.339230\pi\)
0.999828 + 0.0185234i \(0.00589653\pi\)
\(180\) 22.2825 + 43.2607i 1.66084 + 3.22446i
\(181\) 8.12647i 0.604036i −0.953302 0.302018i \(-0.902340\pi\)
0.953302 0.302018i \(-0.0976603\pi\)
\(182\) −2.53732 + 6.01884i −0.188079 + 0.446146i
\(183\) 3.27706 + 6.00407i 0.242247 + 0.443834i
\(184\) −1.98554 + 3.43906i −0.146376 + 0.253531i
\(185\) −5.08788 8.81247i −0.374069 0.647906i
\(186\) −2.38174 1.45234i −0.174638 0.106491i
\(187\) −14.2991 8.25561i −1.04566 0.603710i
\(188\) −15.0865 −1.10029
\(189\) 0.724138 + 13.7286i 0.0526733 + 0.998612i
\(190\) 22.6082 1.64017
\(191\) −3.73362 2.15561i −0.270155 0.155974i 0.358803 0.933413i \(-0.383185\pi\)
−0.628958 + 0.777439i \(0.716518\pi\)
\(192\) 10.0384 + 6.12120i 0.724456 + 0.441760i
\(193\) −3.59011 6.21826i −0.258422 0.447600i 0.707397 0.706816i \(-0.249869\pi\)
−0.965819 + 0.259216i \(0.916536\pi\)
\(194\) 2.56815 4.44817i 0.184383 0.319360i
\(195\) −3.28702 6.02233i −0.235388 0.431268i
\(196\) 20.0135 + 20.5208i 1.42954 + 1.46577i
\(197\) 21.1265i 1.50520i 0.658479 + 0.752599i \(0.271200\pi\)
−0.658479 + 0.752599i \(0.728800\pi\)
\(198\) 9.80464 + 19.0353i 0.696786 + 1.35278i
\(199\) 12.2108 7.04990i 0.865599 0.499754i −0.000284059 1.00000i \(-0.500090\pi\)
0.865883 + 0.500246i \(0.166757\pi\)
\(200\) −47.8848 + 27.6463i −3.38596 + 1.95489i
\(201\) −0.0935709 + 3.90102i −0.00659998 + 0.275156i
\(202\) 37.1960i 2.61710i
\(203\) −1.68260 13.4294i −0.118096 0.942562i
\(204\) −35.5557 + 19.4065i −2.48940 + 1.35873i
\(205\) 4.84038 8.38379i 0.338067 0.585549i
\(206\) −13.0517 22.6063i −0.909357 1.57505i
\(207\) 0.110440 2.30082i 0.00767609 0.159918i
\(208\) 3.96507 + 2.28923i 0.274928 + 0.158730i
\(209\) 6.68359 0.462313
\(210\) −44.5876 + 4.50346i −3.07684 + 0.310768i
\(211\) 10.9913 0.756674 0.378337 0.925668i \(-0.376496\pi\)
0.378337 + 0.925668i \(0.376496\pi\)
\(212\) 21.2030 + 12.2416i 1.45623 + 0.840755i
\(213\) −5.08164 + 8.33356i −0.348189 + 0.571006i
\(214\) 1.77886 + 3.08108i 0.121600 + 0.210618i
\(215\) −17.4550 + 30.2330i −1.19042 + 2.06187i
\(216\) 26.8044 + 1.93178i 1.82381 + 0.131441i
\(217\) 1.37590 1.04216i 0.0934025 0.0707462i
\(218\) 0.00689667i 0.000467101i
\(219\) −26.1758 0.627861i −1.76880 0.0424269i
\(220\) −40.6119 + 23.4473i −2.73805 + 1.58082i
\(221\) 4.94603 2.85559i 0.332706 0.192088i
\(222\) −10.9815 0.263405i −0.737030 0.0176786i
\(223\) 2.91463i 0.195178i 0.995227 + 0.0975890i \(0.0311130\pi\)
−0.995227 + 0.0975890i \(0.968887\pi\)
\(224\) 2.02360 1.53274i 0.135207 0.102411i
\(225\) 17.3498 26.9752i 1.15665 1.79835i
\(226\) 18.8775 32.6969i 1.25572 2.17496i
\(227\) 2.36130 + 4.08989i 0.156725 + 0.271455i 0.933686 0.358093i \(-0.116573\pi\)
−0.776961 + 0.629549i \(0.783240\pi\)
\(228\) 8.53660 13.9994i 0.565350 0.927136i
\(229\) −10.8649 6.27284i −0.717971 0.414521i 0.0960342 0.995378i \(-0.469384\pi\)
−0.814006 + 0.580857i \(0.802718\pi\)
\(230\) 7.50878 0.495114
\(231\) −13.1813 + 1.33134i −0.867267 + 0.0875960i
\(232\) −26.4570 −1.73699
\(233\) 9.77742 + 5.64500i 0.640540 + 0.369816i 0.784823 0.619720i \(-0.212754\pi\)
−0.144282 + 0.989537i \(0.546087\pi\)
\(234\) −7.39784 0.355098i −0.483612 0.0232135i
\(235\) 7.29690 + 12.6386i 0.475997 + 0.824451i
\(236\) 0.812276 1.40690i 0.0528747 0.0915817i
\(237\) −8.40310 + 4.58646i −0.545840 + 0.297923i
\(238\) −4.63768 37.0149i −0.300616 2.39932i
\(239\) 3.85158i 0.249138i −0.992211 0.124569i \(-0.960245\pi\)
0.992211 0.124569i \(-0.0397548\pi\)
\(240\) −0.753258 + 31.4037i −0.0486226 + 2.02710i
\(241\) 22.7827 13.1536i 1.46756 0.847299i 0.468224 0.883610i \(-0.344894\pi\)
0.999341 + 0.0363115i \(0.0115608\pi\)
\(242\) 5.64853 3.26118i 0.363101 0.209637i
\(243\) −14.3354 + 6.12338i −0.919618 + 0.392815i
\(244\) 16.1715i 1.03528i
\(245\) 7.51121 26.6916i 0.479873 1.70526i
\(246\) −5.00663 9.17292i −0.319211 0.584844i
\(247\) −1.15592 + 2.00211i −0.0735492 + 0.127391i
\(248\) −1.68702 2.92200i −0.107126 0.185547i
\(249\) −24.7907 15.1169i −1.57105 0.957996i
\(250\) 48.1978 + 27.8270i 3.04829 + 1.75993i
\(251\) 8.08812 0.510518 0.255259 0.966873i \(-0.417839\pi\)
0.255259 + 0.966873i \(0.417839\pi\)
\(252\) −14.0472 + 29.3100i −0.884889 + 1.84636i
\(253\) 2.21980 0.139558
\(254\) 35.3279 + 20.3966i 2.21667 + 1.27980i
\(255\) 33.4550 + 20.4002i 2.09503 + 1.27751i
\(256\) 16.2672 + 28.1757i 1.01670 + 1.76098i
\(257\) −10.7917 + 18.6918i −0.673167 + 1.16596i 0.303834 + 0.952725i \(0.401733\pi\)
−0.977001 + 0.213235i \(0.931600\pi\)
\(258\) 18.0545 + 33.0787i 1.12403 + 2.05939i
\(259\) 2.64018 6.26283i 0.164053 0.389154i
\(260\) 16.2207i 1.00596i
\(261\) 13.6432 7.02727i 0.844491 0.434977i
\(262\) 25.5985 14.7793i 1.58148 0.913068i
\(263\) −4.50226 + 2.59938i −0.277621 + 0.160285i −0.632346 0.774686i \(-0.717908\pi\)
0.354725 + 0.934971i \(0.384575\pi\)
\(264\) −0.621013 + 25.8903i −0.0382207 + 1.59344i
\(265\) 23.6836i 1.45487i
\(266\) 9.11742 + 12.0373i 0.559025 + 0.738052i
\(267\) 10.9250 5.96290i 0.668596 0.364924i
\(268\) −4.61271 + 7.98945i −0.281766 + 0.488033i
\(269\) −5.85582 10.1426i −0.357035 0.618403i 0.630429 0.776247i \(-0.282879\pi\)
−0.987464 + 0.157844i \(0.949546\pi\)
\(270\) −22.1783 45.7195i −1.34973 2.78240i
\(271\) −7.51443 4.33846i −0.456469 0.263543i 0.254089 0.967181i \(-0.418224\pi\)
−0.710559 + 0.703638i \(0.751558\pi\)
\(272\) −26.1484 −1.58548
\(273\) 1.88088 4.17879i 0.113836 0.252912i
\(274\) −16.9936 −1.02662
\(275\) 26.7671 + 15.4540i 1.61412 + 0.931911i
\(276\) 2.83524 4.64959i 0.170661 0.279873i
\(277\) 10.6589 + 18.4617i 0.640430 + 1.10926i 0.985337 + 0.170621i \(0.0545773\pi\)
−0.344907 + 0.938637i \(0.612089\pi\)
\(278\) 14.8132 25.6572i 0.888436 1.53882i
\(279\) 1.64607 + 1.05871i 0.0985475 + 0.0633833i
\(280\) −49.9462 21.0555i −2.98486 1.25831i
\(281\) 20.1238i 1.20049i −0.799817 0.600244i \(-0.795070\pi\)
0.799817 0.600244i \(-0.204930\pi\)
\(282\) 15.7493 + 0.377768i 0.937860 + 0.0224958i
\(283\) −8.12982 + 4.69375i −0.483268 + 0.279015i −0.721777 0.692125i \(-0.756674\pi\)
0.238510 + 0.971140i \(0.423341\pi\)
\(284\) −19.9846 + 11.5381i −1.18587 + 0.684661i
\(285\) −15.8569 0.380347i −0.939280 0.0225298i
\(286\) 7.13734i 0.422040i
\(287\) 6.41581 0.803851i 0.378713 0.0474498i
\(288\) 2.42094 + 1.55709i 0.142655 + 0.0917523i
\(289\) −7.80879 + 13.5252i −0.459341 + 0.795602i
\(290\) 25.0132 + 43.3242i 1.46883 + 2.54408i
\(291\) −1.87608 + 3.07664i −0.109978 + 0.180356i
\(292\) −53.6093 30.9513i −3.13725 1.81129i
\(293\) −32.6839 −1.90941 −0.954706 0.297550i \(-0.903831\pi\)
−0.954706 + 0.297550i \(0.903831\pi\)
\(294\) −20.3791 21.9236i −1.18853 1.27861i
\(295\) −1.57150 −0.0914963
\(296\) −11.5059 6.64295i −0.668768 0.386114i
\(297\) −6.55652 13.5159i −0.380448 0.784273i
\(298\) 2.67029 + 4.62508i 0.154686 + 0.267924i
\(299\) −0.383911 + 0.664954i −0.0222022 + 0.0384553i
\(300\) 66.5582 36.3278i 3.84274 2.09739i
\(301\) −23.1362 + 2.89879i −1.33355 + 0.167083i
\(302\) 4.13495i 0.237940i
\(303\) 0.625765 26.0885i 0.0359493 1.49874i
\(304\) 9.16658 5.29232i 0.525739 0.303536i
\(305\) 13.5476 7.82171i 0.775733 0.447870i
\(306\) 37.6040 19.3689i 2.14968 1.10725i
\(307\) 3.57025i 0.203765i 0.994796 + 0.101883i \(0.0324866\pi\)
−0.994796 + 0.101883i \(0.967513\pi\)
\(308\) −28.8620 12.1671i −1.64456 0.693288i
\(309\) 8.77388 + 16.0751i 0.499129 + 0.914481i
\(310\) −3.18992 + 5.52510i −0.181175 + 0.313805i
\(311\) −9.03519 15.6494i −0.512338 0.887396i −0.999898 0.0143063i \(-0.995446\pi\)
0.487559 0.873090i \(-0.337887\pi\)
\(312\) −7.64819 4.66372i −0.432994 0.264031i
\(313\) −3.86945 2.23403i −0.218714 0.126275i 0.386641 0.922231i \(-0.373635\pi\)
−0.605355 + 0.795956i \(0.706969\pi\)
\(314\) 24.4667 1.38073
\(315\) 31.3485 2.40851i 1.76629 0.135704i
\(316\) −22.6331 −1.27321
\(317\) −7.58741 4.38059i −0.426152 0.246039i 0.271554 0.962423i \(-0.412462\pi\)
−0.697706 + 0.716384i \(0.745796\pi\)
\(318\) −21.8281 13.3104i −1.22406 0.746409i
\(319\) 7.39459 + 12.8078i 0.414018 + 0.717100i
\(320\) 13.4446 23.2867i 0.751576 1.30177i
\(321\) −1.19582 2.19093i −0.0667441 0.122286i
\(322\) 3.02814 + 3.99790i 0.168752 + 0.222794i
\(323\) 13.2033i 0.734651i
\(324\) −36.6848 3.52988i −2.03804 0.196105i
\(325\) −9.25867 + 5.34549i −0.513578 + 0.296515i
\(326\) −15.1058 + 8.72134i −0.836633 + 0.483030i
\(327\) −0.000116026 0.00483717i −6.41624e−6 0.000267496i
\(328\) 12.6396i 0.697905i
\(329\) −3.78647 + 8.98198i −0.208755 + 0.495193i
\(330\) 42.9834 23.4606i 2.36616 1.29146i
\(331\) −12.1862 + 21.1071i −0.669813 + 1.16015i 0.308143 + 0.951340i \(0.400292\pi\)
−0.977956 + 0.208810i \(0.933041\pi\)
\(332\) −34.3237 59.4503i −1.88376 3.26276i
\(333\) 7.69775 + 0.369493i 0.421834 + 0.0202481i
\(334\) −50.4221 29.1112i −2.75897 1.59289i
\(335\) 8.92416 0.487579
\(336\) −17.0240 + 12.2634i −0.928737 + 0.669025i
\(337\) 32.9021 1.79229 0.896145 0.443761i \(-0.146356\pi\)
0.896145 + 0.443761i \(0.146356\pi\)
\(338\) 2.13803 + 1.23439i 0.116294 + 0.0671422i
\(339\) −13.7904 + 22.6153i −0.748990 + 1.22829i
\(340\) 46.3197 + 80.2280i 2.51204 + 4.35097i
\(341\) −0.943027 + 1.63337i −0.0510678 + 0.0884520i
\(342\) −9.26224 + 14.4008i −0.500844 + 0.778707i
\(343\) 17.2405 6.76499i 0.930900 0.365275i
\(344\) 45.5800i 2.45751i
\(345\) −5.26649 0.126324i −0.283539 0.00680103i
\(346\) −7.51882 + 4.34099i −0.404214 + 0.233373i
\(347\) −1.76492 + 1.01898i −0.0947458 + 0.0547015i −0.546624 0.837378i \(-0.684087\pi\)
0.451878 + 0.892079i \(0.350754\pi\)
\(348\) 36.2720 + 0.870030i 1.94438 + 0.0466385i
\(349\) 21.0742i 1.12808i −0.825748 0.564039i \(-0.809247\pi\)
0.825748 0.564039i \(-0.190753\pi\)
\(350\) 8.68145 + 69.2896i 0.464043 + 3.70369i
\(351\) 5.18271 + 0.373515i 0.276633 + 0.0199368i
\(352\) −1.38695 + 2.40227i −0.0739246 + 0.128041i
\(353\) −10.2954 17.8322i −0.547969 0.949111i −0.998414 0.0563063i \(-0.982068\pi\)
0.450444 0.892805i \(-0.351266\pi\)
\(354\) −0.883196 + 1.44838i −0.0469413 + 0.0769806i
\(355\) 19.3320 + 11.1613i 1.02603 + 0.592381i
\(356\) 29.4255 1.55955
\(357\) 2.63005 + 26.0394i 0.139197 + 1.37815i
\(358\) −56.5882 −2.99078
\(359\) 12.1181 + 6.99637i 0.639567 + 0.369254i 0.784448 0.620195i \(-0.212947\pi\)
−0.144881 + 0.989449i \(0.546280\pi\)
\(360\) 2.94672 61.3897i 0.155306 3.23552i
\(361\) −6.82771 11.8259i −0.359353 0.622418i
\(362\) −10.0313 + 17.3747i −0.527232 + 0.913192i
\(363\) −4.01662 + 2.19229i −0.210818 + 0.115066i
\(364\) 8.63638 6.54148i 0.452669 0.342867i
\(365\) 59.8811i 3.13432i
\(366\) 0.404938 16.8821i 0.0211665 0.882441i
\(367\) 12.4471 7.18632i 0.649732 0.375123i −0.138621 0.990345i \(-0.544267\pi\)
0.788354 + 0.615222i \(0.210934\pi\)
\(368\) 3.04447 1.75772i 0.158704 0.0916277i
\(369\) 3.35722 + 6.51791i 0.174770 + 0.339309i
\(370\) 25.1218i 1.30602i
\(371\) 12.6099 9.55113i 0.654671 0.495870i
\(372\) 2.21678 + 4.06148i 0.114935 + 0.210578i
\(373\) 10.6122 18.3808i 0.549477 0.951722i −0.448833 0.893615i \(-0.648160\pi\)
0.998310 0.0581067i \(-0.0185063\pi\)
\(374\) 20.3813 + 35.3015i 1.05389 + 1.82540i
\(375\) −33.3367 20.3281i −1.72150 1.04974i
\(376\) 16.5015 + 9.52713i 0.850999 + 0.491324i
\(377\) −5.11554 −0.263464
\(378\) 15.3983 30.2462i 0.792004 1.55569i
\(379\) 25.3738 1.30336 0.651681 0.758493i \(-0.274064\pi\)
0.651681 + 0.758493i \(0.274064\pi\)
\(380\) −32.4756 18.7498i −1.66596 0.961843i
\(381\) −24.4351 14.9001i −1.25185 0.763353i
\(382\) 5.32173 + 9.21751i 0.272284 + 0.471609i
\(383\) −6.89465 + 11.9419i −0.352300 + 0.610202i −0.986652 0.162842i \(-0.947934\pi\)
0.634352 + 0.773045i \(0.281267\pi\)
\(384\) −15.4987 28.3961i −0.790916 1.44908i
\(385\) 3.76677 + 30.0639i 0.191972 + 1.53220i
\(386\) 17.7265i 0.902253i
\(387\) −12.1066 23.5044i −0.615411 1.19480i
\(388\) −7.37806 + 4.25972i −0.374564 + 0.216255i
\(389\) −7.72535 + 4.46023i −0.391691 + 0.226143i −0.682892 0.730519i \(-0.739278\pi\)
0.291202 + 0.956662i \(0.405945\pi\)
\(390\) −0.406170 + 16.9334i −0.0205672 + 0.857457i
\(391\) 4.38517i 0.221768i
\(392\) −8.93175 35.0841i −0.451121 1.77202i
\(393\) −18.2029 + 9.93522i −0.918213 + 0.501166i
\(394\) 26.0784 45.1691i 1.31381 2.27558i
\(395\) 10.9470 + 18.9608i 0.550804 + 0.954020i
\(396\) 1.70279 35.4747i 0.0855685 1.78267i
\(397\) −7.55602 4.36247i −0.379226 0.218946i 0.298256 0.954486i \(-0.403595\pi\)
−0.677481 + 0.735540i \(0.736929\pi\)
\(398\) −34.8094 −1.74484
\(399\) −6.19225 8.59605i −0.310000 0.430341i
\(400\) 48.9483 2.44741
\(401\) 8.55479 + 4.93911i 0.427206 + 0.246647i 0.698156 0.715946i \(-0.254004\pi\)
−0.270950 + 0.962593i \(0.587338\pi\)
\(402\) 5.01545 8.22500i 0.250148 0.410225i
\(403\) −0.326190 0.564978i −0.0162487 0.0281436i
\(404\) 30.8480 53.4303i 1.53475 2.65826i
\(405\) 14.7862 + 32.4397i 0.734734 + 1.61194i
\(406\) −12.9798 + 30.7896i −0.644174 + 1.52806i
\(407\) 7.42669i 0.368127i
\(408\) 51.1459 + 1.22680i 2.53210 + 0.0607356i
\(409\) −8.05447 + 4.65025i −0.398268 + 0.229940i −0.685736 0.727850i \(-0.740520\pi\)
0.287469 + 0.957790i \(0.407186\pi\)
\(410\) −20.6978 + 11.9499i −1.02219 + 0.590162i
\(411\) 11.9189 + 0.285891i 0.587918 + 0.0141020i
\(412\) 43.2971i 2.13309i
\(413\) −0.633755 0.836714i −0.0311850 0.0411720i
\(414\) −3.07624 + 4.78290i −0.151189 + 0.235067i
\(415\) −33.2028 + 57.5089i −1.62986 + 2.82300i
\(416\) −0.479742 0.830937i −0.0235213 0.0407400i
\(417\) −10.8213 + 17.7462i −0.529921 + 0.869034i
\(418\) −14.2897 8.25018i −0.698933 0.403529i
\(419\) 9.12822 0.445943 0.222971 0.974825i \(-0.428424\pi\)
0.222971 + 0.974825i \(0.428424\pi\)
\(420\) 67.7829 + 30.5091i 3.30747 + 1.48869i
\(421\) 13.9350 0.679150 0.339575 0.940579i \(-0.389717\pi\)
0.339575 + 0.940579i \(0.389717\pi\)
\(422\) −23.4998 13.5676i −1.14395 0.660462i
\(423\) −11.0399 0.529917i −0.536778 0.0257654i
\(424\) −15.4612 26.7795i −0.750860 1.30053i
\(425\) 30.5291 52.8779i 1.48088 2.56496i
\(426\) 21.1516 11.5447i 1.02480 0.559341i
\(427\) 9.62799 + 4.05881i 0.465931 + 0.196419i
\(428\) 5.90109i 0.285240i
\(429\) −0.120075 + 5.00598i −0.00579726 + 0.241691i
\(430\) 74.6388 43.0928i 3.59940 2.07812i
\(431\) −15.2353 + 8.79613i −0.733860 + 0.423694i −0.819833 0.572603i \(-0.805934\pi\)
0.0859724 + 0.996298i \(0.472600\pi\)
\(432\) −19.6947 13.3454i −0.947563 0.642083i
\(433\) 25.9290i 1.24607i −0.782194 0.623035i \(-0.785899\pi\)
0.782194 0.623035i \(-0.214101\pi\)
\(434\) −4.22816 + 0.529756i −0.202958 + 0.0254291i
\(435\) −16.8149 30.8074i −0.806211 1.47710i
\(436\) −0.00571966 + 0.00990674i −0.000273922 + 0.000474447i
\(437\) 0.887539 + 1.53726i 0.0424567 + 0.0735372i
\(438\) 55.1898 + 33.6537i 2.63707 + 1.60804i
\(439\) −32.7224 18.8923i −1.56175 0.901678i −0.997080 0.0763632i \(-0.975669\pi\)
−0.564673 0.825315i \(-0.690998\pi\)
\(440\) 59.2280 2.82358
\(441\) 13.9246 + 15.7196i 0.663076 + 0.748552i
\(442\) −14.0997 −0.670654
\(443\) −8.90553 5.14161i −0.423114 0.244285i 0.273295 0.961930i \(-0.411887\pi\)
−0.696409 + 0.717645i \(0.745220\pi\)
\(444\) 15.5559 + 9.48572i 0.738252 + 0.450172i
\(445\) −14.2323 24.6511i −0.674676 1.16857i
\(446\) 3.59780 6.23157i 0.170361 0.295073i
\(447\) −1.79507 3.28885i −0.0849041 0.155557i
\(448\) 17.8205 2.23277i 0.841938 0.105488i
\(449\) 2.29400i 0.108260i −0.998534 0.0541302i \(-0.982761\pi\)
0.998534 0.0541302i \(-0.0172386\pi\)
\(450\) −70.3923 + 36.2574i −3.31833 + 1.70919i
\(451\) −6.11883 + 3.53271i −0.288124 + 0.166349i
\(452\) −54.2334 + 31.3117i −2.55092 + 1.47278i
\(453\) 0.0695642 2.90017i 0.00326841 0.136262i
\(454\) 11.6591i 0.547188i
\(455\) −9.65726 4.07115i −0.452739 0.190858i
\(456\) −18.1780 + 9.92162i −0.851261 + 0.464623i
\(457\) 5.01249 8.68188i 0.234474 0.406121i −0.724646 0.689122i \(-0.757997\pi\)
0.959120 + 0.283001i \(0.0913298\pi\)
\(458\) 15.4863 + 26.8231i 0.723628 + 1.25336i
\(459\) −26.7004 + 12.9523i −1.24627 + 0.604561i
\(460\) −10.7860 6.22731i −0.502900 0.290350i
\(461\) −18.3280 −0.853622 −0.426811 0.904341i \(-0.640363\pi\)
−0.426811 + 0.904341i \(0.640363\pi\)
\(462\) 29.8255 + 13.4245i 1.38761 + 0.624563i
\(463\) 8.00291 0.371927 0.185963 0.982557i \(-0.440459\pi\)
0.185963 + 0.982557i \(0.440459\pi\)
\(464\) 20.2834 + 11.7107i 0.941635 + 0.543653i
\(465\) 2.33029 3.82152i 0.108065 0.177219i
\(466\) −13.9363 24.1384i −0.645586 1.11819i
\(467\) 4.62673 8.01373i 0.214099 0.370831i −0.738894 0.673821i \(-0.764652\pi\)
0.952994 + 0.302990i \(0.0979850\pi\)
\(468\) 10.3322 + 6.64538i 0.477604 + 0.307183i
\(469\) 3.59893 + 4.75148i 0.166183 + 0.219403i
\(470\) 36.0290i 1.66189i
\(471\) −17.1604 0.411614i −0.790709 0.0189662i
\(472\) −1.77692 + 1.02591i −0.0817896 + 0.0472212i
\(473\) 22.0653 12.7394i 1.01456 0.585758i
\(474\) 23.6276 + 0.566738i 1.08525 + 0.0260312i
\(475\) 24.7158i 1.13404i
\(476\) −24.0360 + 57.0163i −1.10169 + 2.61334i
\(477\) 15.0858 + 9.70283i 0.690733 + 0.444262i
\(478\) −4.75437 + 8.23481i −0.217460 + 0.376651i
\(479\) 5.21763 + 9.03721i 0.238400 + 0.412921i 0.960255 0.279123i \(-0.0900438\pi\)
−0.721855 + 0.692044i \(0.756710\pi\)
\(480\) 3.42726 5.62047i 0.156432 0.256538i
\(481\) −2.22471 1.28443i −0.101438 0.0585652i
\(482\) −64.9469 −2.95825
\(483\) −2.05661 2.85498i −0.0935791 0.129906i
\(484\) −10.8185 −0.491748
\(485\) 7.13712 + 4.12062i 0.324080 + 0.187108i
\(486\) 38.2082 + 4.60357i 1.73316 + 0.208822i
\(487\) 2.22014 + 3.84539i 0.100604 + 0.174251i 0.911934 0.410338i \(-0.134589\pi\)
−0.811330 + 0.584589i \(0.801256\pi\)
\(488\) 10.2123 17.6883i 0.462291 0.800712i
\(489\) 10.7416 5.86282i 0.485752 0.265126i
\(490\) −49.0071 + 47.7957i −2.21392 + 2.15919i
\(491\) 39.9336i 1.80218i −0.433635 0.901089i \(-0.642769\pi\)
0.433635 0.901089i \(-0.357231\pi\)
\(492\) −0.415650 + 17.3286i −0.0187389 + 0.781236i
\(493\) 25.3016 14.6079i 1.13953 0.657906i
\(494\) 4.94278 2.85371i 0.222386 0.128395i
\(495\) −30.5423 + 15.7316i −1.37278 + 0.707083i
\(496\) 2.98690i 0.134116i
\(497\) 1.85358 + 14.7940i 0.0831444 + 0.663604i
\(498\) 34.3432 + 62.9220i 1.53895 + 2.81960i
\(499\) −14.8449 + 25.7122i −0.664551 + 1.15104i 0.314856 + 0.949139i \(0.398044\pi\)
−0.979407 + 0.201896i \(0.935290\pi\)
\(500\) −46.1559 79.9443i −2.06415 3.57522i
\(501\) 34.8752 + 21.2662i 1.55811 + 0.950105i
\(502\) −17.2927 9.98392i −0.771809 0.445604i
\(503\) 26.1034 1.16389 0.581947 0.813227i \(-0.302291\pi\)
0.581947 + 0.813227i \(0.302291\pi\)
\(504\) 33.8740 23.1883i 1.50887 1.03289i
\(505\) −59.6813 −2.65578
\(506\) −4.74600 2.74011i −0.210986 0.121813i
\(507\) −1.47880 0.901745i −0.0656759 0.0400479i
\(508\) −33.8313 58.5975i −1.50102 2.59984i
\(509\) 14.1788 24.5584i 0.628464 1.08853i −0.359397 0.933185i \(-0.617017\pi\)
0.987860 0.155346i \(-0.0496492\pi\)
\(510\) −46.3460 84.9130i −2.05223 3.76001i
\(511\) −31.8825 + 24.1489i −1.41040 + 1.06828i
\(512\) 42.9656i 1.89883i
\(513\) 6.73860 9.94459i 0.297516 0.439064i
\(514\) 46.1460 26.6424i 2.03541 1.17515i
\(515\) 36.2719 20.9416i 1.59833 0.922796i
\(516\) 1.49889 62.4893i 0.0659848 2.75094i
\(517\) 10.6511i 0.468437i
\(518\) −13.3756 + 10.1311i −0.587690 + 0.445136i
\(519\) 5.34657 2.91819i 0.234688 0.128094i
\(520\) −10.2434 + 17.7421i −0.449203 + 0.778042i
\(521\) 0.418091 + 0.724155i 0.0183169 + 0.0317258i 0.875039 0.484053i \(-0.160836\pi\)
−0.856722 + 0.515779i \(0.827503\pi\)
\(522\) −37.8439 1.81652i −1.65638 0.0795067i
\(523\) 23.3076 + 13.4567i 1.01917 + 0.588419i 0.913864 0.406020i \(-0.133084\pi\)
0.105308 + 0.994440i \(0.466417\pi\)
\(524\) −49.0281 −2.14180
\(525\) −4.92329 48.7443i −0.214870 2.12737i
\(526\) 12.8346 0.559617
\(527\) 3.22669 + 1.86293i 0.140557 + 0.0811506i
\(528\) 11.9359 19.5741i 0.519445 0.851855i
\(529\) −11.2052 19.4080i −0.487184 0.843827i
\(530\) −29.2349 + 50.6363i −1.26988 + 2.19950i
\(531\) 0.643821 1.00100i 0.0279395 0.0434399i
\(532\) −3.11381 24.8524i −0.135001 1.07749i
\(533\) 2.44391i 0.105857i
\(534\) −30.7185 0.736822i −1.32932 0.0318854i
\(535\) −4.94361 + 2.85419i −0.213731 + 0.123397i
\(536\) 10.0907 5.82587i 0.435852 0.251639i
\(537\) 39.6897 + 0.952009i 1.71274 + 0.0410822i
\(538\) 28.9135i 1.24655i
\(539\) −14.4878 + 14.1297i −0.624035 + 0.608609i
\(540\) −6.05867 + 84.0672i −0.260724 + 3.61767i
\(541\) 20.6285 35.7296i 0.886888 1.53614i 0.0433537 0.999060i \(-0.486196\pi\)
0.843534 0.537075i \(-0.180471\pi\)
\(542\) 10.7107 + 18.5515i 0.460065 + 0.796857i
\(543\) 7.32801 12.0174i 0.314475 0.515718i
\(544\) 4.74563 + 2.73989i 0.203467 + 0.117472i
\(545\) 0.0110658 0.000474005
\(546\) −9.17965 + 6.61265i −0.392853 + 0.282995i
\(547\) 31.7099 1.35582 0.677909 0.735146i \(-0.262887\pi\)
0.677909 + 0.735146i \(0.262887\pi\)
\(548\) 24.4105 + 14.0934i 1.04276 + 0.602040i
\(549\) −0.568030 + 11.8339i −0.0242429 + 0.505059i
\(550\) −38.1526 66.0823i −1.62683 2.81776i
\(551\) −5.91314 + 10.2419i −0.251908 + 0.436318i
\(552\) −6.03739 + 3.29524i −0.256968 + 0.140255i
\(553\) −5.68057 + 13.4750i −0.241562 + 0.573016i
\(554\) 52.6290i 2.23599i
\(555\) 0.422635 17.6199i 0.0179399 0.747922i
\(556\) −42.5569 + 24.5702i −1.80481 + 1.04201i
\(557\) −3.74179 + 2.16032i −0.158545 + 0.0915357i −0.577173 0.816622i \(-0.695844\pi\)
0.418629 + 0.908158i \(0.362511\pi\)
\(558\) −2.21248 4.29545i −0.0936619 0.181841i
\(559\) 8.81304i 0.372752i
\(560\) 28.9719 + 38.2501i 1.22429 + 1.61636i
\(561\) −13.7011 25.1026i −0.578462 1.05983i
\(562\) −24.8407 + 43.0254i −1.04784 + 1.81492i
\(563\) −12.2235 21.1717i −0.515159 0.892281i −0.999845 0.0175930i \(-0.994400\pi\)
0.484687 0.874688i \(-0.338934\pi\)
\(564\) −22.3099 13.6042i −0.939416 0.572838i
\(565\) 52.4623 + 30.2891i 2.20711 + 1.27427i
\(566\) 23.1758 0.974149
\(567\) −11.3089 + 20.9549i −0.474929 + 0.880024i
\(568\) 29.1453 1.22291
\(569\) 30.6755 + 17.7105i 1.28599 + 0.742464i 0.977936 0.208906i \(-0.0669903\pi\)
0.308050 + 0.951370i \(0.400324\pi\)
\(570\) 33.4330 + 20.3868i 1.40035 + 0.853910i
\(571\) −16.1979 28.0555i −0.677860 1.17409i −0.975624 0.219448i \(-0.929574\pi\)
0.297764 0.954639i \(-0.403759\pi\)
\(572\) −5.91926 + 10.2525i −0.247497 + 0.428677i
\(573\) −3.57748 6.55449i −0.149451 0.273818i
\(574\) −14.7095 6.20097i −0.613961 0.258824i
\(575\) 8.20878i 0.342330i
\(576\) 9.32498 + 18.1041i 0.388541 + 0.754337i
\(577\) 3.93070 2.26939i 0.163637 0.0944761i −0.415945 0.909390i \(-0.636549\pi\)
0.579582 + 0.814914i \(0.303216\pi\)
\(578\) 33.3909 19.2783i 1.38888 0.801870i
\(579\) 0.298220 12.4329i 0.0123936 0.516695i
\(580\) 82.9775i 3.44546i
\(581\) −44.0095 + 5.51404i −1.82582 + 0.228761i
\(582\) 7.80891 4.26214i 0.323690 0.176672i
\(583\) −8.64263 + 14.9695i −0.357941 + 0.619972i
\(584\) 39.0916 + 67.7087i 1.61762 + 2.80181i
\(585\) 0.569757 11.8699i 0.0235565 0.490759i
\(586\) 69.8792 + 40.3448i 2.88668 + 1.66663i
\(587\) 0.263237 0.0108649 0.00543247 0.999985i \(-0.498271\pi\)
0.00543247 + 0.999985i \(0.498271\pi\)
\(588\) 11.0915 + 48.3933i 0.457406 + 1.99571i
\(589\) −1.50820 −0.0621441
\(590\) 3.35992 + 1.93985i 0.138326 + 0.0798624i
\(591\) −19.0507 + 31.2419i −0.783641 + 1.28512i
\(592\) 5.88074 + 10.1857i 0.241697 + 0.418631i
\(593\) −11.2238 + 19.4402i −0.460906 + 0.798312i −0.999006 0.0445685i \(-0.985809\pi\)
0.538101 + 0.842881i \(0.319142\pi\)
\(594\) −2.66591 + 36.9908i −0.109383 + 1.51775i
\(595\) 59.3906 7.44118i 2.43478 0.305059i
\(596\) 8.85828i 0.362849i
\(597\) 24.4145 + 0.585614i 0.999221 + 0.0239676i
\(598\) 1.64163 0.947795i 0.0671312 0.0387582i
\(599\) 33.9415 19.5961i 1.38681 0.800677i 0.393858 0.919171i \(-0.371140\pi\)
0.992955 + 0.118495i \(0.0378069\pi\)
\(600\) −95.7420 2.29649i −3.90865 0.0937540i
\(601\) 14.6645i 0.598179i 0.954225 + 0.299090i \(0.0966830\pi\)
−0.954225 + 0.299090i \(0.903317\pi\)
\(602\) 53.0442 + 22.3615i 2.16192 + 0.911386i
\(603\) −3.65610 + 5.68445i −0.148888 + 0.231489i
\(604\) 3.42927 5.93966i 0.139535 0.241682i
\(605\) 5.23259 + 9.06311i 0.212735 + 0.368468i
\(606\) −33.5413 + 55.0055i −1.36252 + 2.23445i
\(607\) 6.39458 + 3.69191i 0.259548 + 0.149850i 0.624128 0.781322i \(-0.285454\pi\)
−0.364580 + 0.931172i \(0.618788\pi\)
\(608\) −2.21817 −0.0899585
\(609\) 9.62170 21.3768i 0.389891 0.866230i
\(610\) −38.6203 −1.56369
\(611\) 3.19061 + 1.84210i 0.129078 + 0.0745234i
\(612\) −70.0796 3.36383i −2.83280 0.135975i
\(613\) 13.3046 + 23.0442i 0.537367 + 0.930747i 0.999045 + 0.0436992i \(0.0139143\pi\)
−0.461678 + 0.887048i \(0.652752\pi\)
\(614\) 4.40710 7.63332i 0.177856 0.308056i
\(615\) 14.7180 8.03317i 0.593488 0.323929i
\(616\) 23.8855 + 31.5347i 0.962373 + 1.27057i
\(617\) 27.0313i 1.08824i 0.839008 + 0.544119i \(0.183136\pi\)
−0.839008 + 0.544119i \(0.816864\pi\)
\(618\) 1.08417 45.1995i 0.0436116 1.81819i
\(619\) −1.55648 + 0.898634i −0.0625602 + 0.0361191i −0.530954 0.847401i \(-0.678166\pi\)
0.468394 + 0.883520i \(0.344833\pi\)
\(620\) 9.16434 5.29103i 0.368049 0.212493i
\(621\) 2.23807 3.30287i 0.0898107 0.132539i
\(622\) 44.6119i 1.78877i
\(623\) 7.38536 17.5190i 0.295888 0.701883i
\(624\) 3.79924 + 6.96080i 0.152091 + 0.278655i
\(625\) −17.9211 + 31.0403i −0.716845 + 1.24161i
\(626\) 5.51534 + 9.55285i 0.220437 + 0.381809i
\(627\) 9.88370 + 6.02689i 0.394717 + 0.240691i
\(628\) −35.1452 20.2911i −1.40245 0.809703i
\(629\) 14.6713 0.584982
\(630\) −69.9972 33.5470i −2.78876 1.33654i
\(631\) −27.9714 −1.11352 −0.556761 0.830673i \(-0.687956\pi\)
−0.556761 + 0.830673i \(0.687956\pi\)
\(632\) 24.7560 + 14.2929i 0.984739 + 0.568540i
\(633\) 16.2540 + 9.91138i 0.646039 + 0.393942i
\(634\) 10.8148 + 18.7317i 0.429509 + 0.743931i
\(635\) −32.7265 + 56.6839i −1.29871 + 2.24943i
\(636\) 20.3163 + 37.2226i 0.805594 + 1.47597i
\(637\) −1.72698 6.78362i −0.0684255 0.268777i
\(638\) 36.5113i 1.44550i
\(639\) −15.0295 + 7.74133i −0.594557 + 0.306242i
\(640\) −64.0730 + 36.9925i −2.53271 + 1.46226i
\(641\) 2.17160 1.25377i 0.0857728 0.0495210i −0.456500 0.889723i \(-0.650897\pi\)
0.542273 + 0.840202i \(0.317564\pi\)
\(642\) −0.147765 + 6.16038i −0.00583180 + 0.243131i
\(643\) 32.6695i 1.28836i −0.764873 0.644181i \(-0.777199\pi\)
0.764873 0.644181i \(-0.222801\pi\)
\(644\) −1.03418 8.25414i −0.0407524 0.325259i
\(645\) −53.0750 + 28.9686i −2.08983 + 1.14064i
\(646\) −16.2981 + 28.2291i −0.641239 + 1.11066i
\(647\) −21.1463 36.6264i −0.831345 1.43993i −0.896972 0.442088i \(-0.854238\pi\)
0.0656262 0.997844i \(-0.479096\pi\)
\(648\) 37.8964 + 27.0274i 1.48871 + 1.06174i
\(649\) 0.993283 + 0.573472i 0.0389898 + 0.0225108i
\(650\) 26.3938 1.03525
\(651\) 2.97445 0.300427i 0.116578 0.0117746i
\(652\) 28.9317 1.13305
\(653\) −8.24690 4.76135i −0.322726 0.186326i 0.329881 0.944023i \(-0.392991\pi\)
−0.652607 + 0.757696i \(0.726325\pi\)
\(654\) 0.00621904 0.0101988i 0.000243184 0.000398805i
\(655\) 23.7135 + 41.0730i 0.926563 + 1.60485i
\(656\) −5.59467 + 9.69025i −0.218435 + 0.378341i
\(657\) −38.1427 24.5324i −1.48809 0.957101i
\(658\) 19.1829 14.5298i 0.747827 0.566429i
\(659\) 19.1756i 0.746975i −0.927635 0.373487i \(-0.878162\pi\)
0.927635 0.373487i \(-0.121838\pi\)
\(660\) −81.2004 1.94770i −3.16072 0.0758139i
\(661\) 11.5986 6.69643i 0.451132 0.260461i −0.257176 0.966365i \(-0.582792\pi\)
0.708308 + 0.705903i \(0.249459\pi\)
\(662\) 52.1089 30.0851i 2.02527 1.16929i
\(663\) 9.88921 + 0.237205i 0.384065 + 0.00921229i
\(664\) 86.7018i 3.36468i
\(665\) −19.3139 + 14.6290i −0.748959 + 0.567287i
\(666\) −16.0019 10.2920i −0.620062 0.398808i
\(667\) −1.96391 + 3.40160i −0.0760430 + 0.131710i
\(668\) 48.2859 + 83.6337i 1.86824 + 3.23588i
\(669\) −2.62825 + 4.31016i −0.101614 + 0.166640i
\(670\) −19.0801 11.0159i −0.737130 0.425582i
\(671\) −11.4172 −0.440756
\(672\) 4.37465 0.441850i 0.168756 0.0170447i
\(673\) 11.3133 0.436097 0.218049 0.975938i \(-0.430031\pi\)
0.218049 + 0.975938i \(0.430031\pi\)
\(674\) −70.3457 40.6141i −2.70962 1.56440i
\(675\) 49.9816 24.2459i 1.92379 0.933225i
\(676\) −2.04745 3.54630i −0.0787483 0.136396i
\(677\) 8.59060 14.8794i 0.330164 0.571860i −0.652380 0.757892i \(-0.726229\pi\)
0.982544 + 0.186032i \(0.0595627\pi\)
\(678\) 57.4004 31.3294i 2.20445 1.20320i
\(679\) 0.684318 + 5.46178i 0.0262617 + 0.209604i
\(680\) 117.004i 4.48689i
\(681\) −0.196146 + 8.17742i −0.00751633 + 0.313359i
\(682\) 4.03244 2.32813i 0.154410 0.0891488i
\(683\) −4.25102 + 2.45433i −0.162661 + 0.0939122i −0.579121 0.815242i \(-0.696604\pi\)
0.416460 + 0.909154i \(0.363271\pi\)
\(684\) 25.2479 13.0046i 0.965377 0.497242i
\(685\) 27.2663i 1.04179i
\(686\) −45.2114 6.81781i −1.72618 0.260305i
\(687\) −10.4105 19.0736i −0.397185 0.727705i
\(688\) 20.1751 34.9443i 0.769168 1.33224i
\(689\) −2.98946 5.17790i −0.113889 0.197262i
\(690\) 11.1040 + 6.77101i 0.422722 + 0.257768i
\(691\) −18.3852 10.6147i −0.699407 0.403803i 0.107720 0.994181i \(-0.465645\pi\)
−0.807126 + 0.590379i \(0.798978\pi\)
\(692\) 14.4006 0.547428
\(693\) −20.6931 9.91739i −0.786065 0.376731i
\(694\) 5.03127 0.190984
\(695\) 41.1671 + 23.7679i 1.56156 + 0.901566i
\(696\) −39.1246 23.8575i −1.48301 0.904314i
\(697\) 6.97880 + 12.0876i 0.264341 + 0.457852i
\(698\) −26.0139 + 45.0574i −0.984640 + 1.70545i
\(699\) 9.36852 + 17.1646i 0.354350 + 0.649224i
\(700\) 44.9939 106.731i 1.70061 4.03406i
\(701\) 26.2863i 0.992821i −0.868088 0.496410i \(-0.834651\pi\)
0.868088 0.496410i \(-0.165349\pi\)
\(702\) −10.6197 7.19609i −0.400816 0.271599i
\(703\) −5.14315 + 2.96940i −0.193978 + 0.111993i
\(704\) −16.9956 + 9.81241i −0.640545 + 0.369819i
\(705\) −0.606132 + 25.2699i −0.0228282 + 0.951721i
\(706\) 50.8344i 1.91318i
\(707\) −24.0683 31.7761i −0.905180 1.19506i
\(708\) 2.46987 1.34807i 0.0928232 0.0506634i
\(709\) −7.96396 + 13.7940i −0.299093 + 0.518044i −0.975929 0.218090i \(-0.930017\pi\)
0.676836 + 0.736134i \(0.263351\pi\)
\(710\) −27.5549 47.7265i −1.03412 1.79114i
\(711\) −16.5623 0.794995i −0.621136 0.0298147i
\(712\) −32.1855 18.5823i −1.20620 0.696401i
\(713\) −0.500913 −0.0187593
\(714\) 26.5198 58.9197i 0.992478 2.20501i
\(715\) 11.4519 0.428277
\(716\) 81.2863 + 46.9306i 3.03781 + 1.75388i
\(717\) 3.47315 5.69573i 0.129707 0.212711i
\(718\) −17.2725 29.9169i −0.644606 1.11649i
\(719\) −20.6500 + 35.7669i −0.770116 + 1.33388i 0.167383 + 0.985892i \(0.446468\pi\)
−0.937499 + 0.347988i \(0.886865\pi\)
\(720\) −29.4321 + 45.7606i −1.09687 + 1.70540i
\(721\) 25.7776 + 10.8669i 0.960010 + 0.404705i
\(722\) 33.7123i 1.25464i
\(723\) 45.5523 + 1.09263i 1.69411 + 0.0406354i
\(724\) 28.8189 16.6386i 1.07105 0.618368i
\(725\) −47.3630 + 27.3451i −1.75902 + 1.01557i
\(726\) 11.2938 + 0.270897i 0.419153 + 0.0100539i
\(727\) 2.07599i 0.0769941i 0.999259 + 0.0384970i \(0.0122570\pi\)
−0.999259 + 0.0384970i \(0.987743\pi\)
\(728\) −13.5774 + 1.70114i −0.503211 + 0.0630484i
\(729\) −26.7210 3.87164i −0.989666 0.143394i
\(730\) 73.9169 128.028i 2.73579 4.73852i
\(731\) −25.1664 43.5895i −0.930814 1.61222i
\(732\) −14.5826 + 23.9145i −0.538988 + 0.883905i
\(733\) −25.8237 14.9093i −0.953821 0.550689i −0.0595552 0.998225i \(-0.518968\pi\)
−0.894266 + 0.447536i \(0.852302\pi\)
\(734\) −35.4830 −1.30970
\(735\) 35.1766 32.6984i 1.29751 1.20610i
\(736\) −0.736713 −0.0271556
\(737\) −5.64060 3.25660i −0.207774 0.119959i
\(738\) 0.867826 18.0796i 0.0319451 0.665521i
\(739\) 22.0127 + 38.1271i 0.809750 + 1.40253i 0.913037 + 0.407876i \(0.133731\pi\)
−0.103287 + 0.994652i \(0.532936\pi\)
\(740\) 20.8344 36.0863i 0.765889 1.32656i
\(741\) −3.51476 + 1.91838i −0.129118 + 0.0704733i
\(742\) −38.7501 + 4.85509i −1.42256 + 0.178236i
\(743\) 11.3441i 0.416174i 0.978110 + 0.208087i \(0.0667238\pi\)
−0.978110 + 0.208087i \(0.933276\pi\)
\(744\) 0.140136 5.84232i 0.00513762 0.214190i
\(745\) −7.42097 + 4.28450i −0.271883 + 0.156972i
\(746\) −45.3783 + 26.1992i −1.66142 + 0.959220i
\(747\) −23.0290 44.7099i −0.842586 1.63585i
\(748\) 67.6119i 2.47214i
\(749\) −3.51331 1.48108i −0.128374 0.0541176i
\(750\) 46.1821 + 84.6127i 1.68633 + 3.08962i
\(751\) −12.2744 + 21.2598i −0.447897 + 0.775781i −0.998249 0.0591518i \(-0.981160\pi\)
0.550351 + 0.834933i \(0.314494\pi\)
\(752\) −8.43399 14.6081i −0.307556 0.532703i
\(753\) 11.9607 + 7.29343i 0.435873 + 0.265787i
\(754\) 10.9372 + 6.31459i 0.398309 + 0.229964i
\(755\) −6.63456 −0.241456
\(756\) −47.2032 + 30.6768i −1.71676 + 1.11570i
\(757\) 29.9074 1.08700 0.543501 0.839408i \(-0.317098\pi\)
0.543501 + 0.839408i \(0.317098\pi\)
\(758\) −54.2499 31.3212i −1.97045 1.13764i
\(759\) 3.28264 + 2.00169i 0.119152 + 0.0726569i
\(760\) 23.6810 + 41.0168i 0.859001 + 1.48783i
\(761\) 1.63587 2.83341i 0.0593003 0.102711i −0.834851 0.550476i \(-0.814446\pi\)
0.894152 + 0.447764i \(0.147780\pi\)
\(762\) 33.8505 + 62.0193i 1.22627 + 2.24672i
\(763\) 0.00446260 + 0.00589173i 0.000161557 + 0.000213295i
\(764\) 17.6540i 0.638700i
\(765\) 31.0775 + 60.3358i 1.12361 + 2.18145i
\(766\) 29.4820 17.0214i 1.06523 0.615009i
\(767\) −0.343574 + 0.198362i −0.0124057 + 0.00716245i
\(768\) −1.35127 + 56.3351i −0.0487598 + 2.03282i
\(769\) 27.3989i 0.988029i 0.869454 + 0.494014i \(0.164471\pi\)
−0.869454 + 0.494014i \(0.835529\pi\)
\(770\) 29.0572 68.9272i 1.04715 2.48396i
\(771\) −32.8140 + 17.9100i −1.18177 + 0.645015i
\(772\) 14.7012 25.4632i 0.529107 0.916441i
\(773\) 18.4624 + 31.9778i 0.664047 + 1.15016i 0.979543 + 0.201236i \(0.0644958\pi\)
−0.315496 + 0.948927i \(0.602171\pi\)
\(774\) −3.12949 + 65.1975i −0.112487 + 2.34347i
\(775\) −6.04017 3.48730i −0.216969 0.125267i
\(776\) 10.7601 0.386265