Properties

Label 171.2.g.c.106.5
Level $171$
Weight $2$
Character 171.106
Analytic conductor $1.365$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 171 = 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 171.g (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.36544187456\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 106.5
Character \(\chi\) \(=\) 171.106
Dual form 171.2.g.c.121.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.803309 - 1.39137i) q^{2} +(-1.24014 - 1.20915i) q^{3} +(-0.290611 + 0.503353i) q^{4} +3.75880 q^{5} +(-0.686165 + 2.69682i) q^{6} +(2.27973 - 3.94861i) q^{7} -2.27943 q^{8} +(0.0758986 + 2.99904i) q^{9} +O(q^{10})\) \(q+(-0.803309 - 1.39137i) q^{2} +(-1.24014 - 1.20915i) q^{3} +(-0.290611 + 0.503353i) q^{4} +3.75880 q^{5} +(-0.686165 + 2.69682i) q^{6} +(2.27973 - 3.94861i) q^{7} -2.27943 q^{8} +(0.0758986 + 2.99904i) q^{9} +(-3.01948 - 5.22989i) q^{10} +(-1.29616 + 2.24501i) q^{11} +(0.969030 - 0.272836i) q^{12} +(0.268857 - 0.465674i) q^{13} -7.32531 q^{14} +(-4.66144 - 4.54496i) q^{15} +(2.41231 + 4.17825i) q^{16} +(-1.73001 + 2.99646i) q^{17} +(4.11181 - 2.51476i) q^{18} +(-4.01417 - 1.69894i) q^{19} +(-1.09235 + 1.89200i) q^{20} +(-7.60165 + 2.14029i) q^{21} +4.16486 q^{22} +(0.104462 - 0.180933i) q^{23} +(2.82682 + 2.75618i) q^{24} +9.12855 q^{25} -0.863901 q^{26} +(3.53217 - 3.81100i) q^{27} +(1.32503 + 2.29502i) q^{28} -0.853801 q^{29} +(-2.57916 + 10.1368i) q^{30} +(3.83524 + 6.64283i) q^{31} +(1.59623 - 2.76475i) q^{32} +(4.32198 - 1.21688i) q^{33} +5.55892 q^{34} +(8.56903 - 14.8420i) q^{35} +(-1.53163 - 0.833350i) q^{36} +4.41513 q^{37} +(0.860764 + 6.94999i) q^{38} +(-0.896491 + 0.252412i) q^{39} -8.56793 q^{40} +0.939316 q^{41} +(9.08441 + 8.85741i) q^{42} +(-1.99417 - 3.45401i) q^{43} +(-0.753355 - 1.30485i) q^{44} +(0.285287 + 11.2728i) q^{45} -0.335660 q^{46} -3.14090 q^{47} +(2.06053 - 8.09847i) q^{48} +(-6.89432 - 11.9413i) q^{49} +(-7.33305 - 12.7012i) q^{50} +(5.76863 - 1.62419i) q^{51} +(0.156266 + 0.270660i) q^{52} +(5.68786 + 9.85167i) q^{53} +(-8.13995 - 1.85315i) q^{54} +(-4.87199 + 8.43853i) q^{55} +(-5.19649 + 9.00059i) q^{56} +(2.92386 + 6.96068i) q^{57} +(0.685866 + 1.18796i) q^{58} +2.40432 q^{59} +(3.64238 - 1.02553i) q^{60} -7.18979 q^{61} +(6.16176 - 10.6725i) q^{62} +(12.0151 + 6.53730i) q^{63} +4.52018 q^{64} +(1.01058 - 1.75037i) q^{65} +(-5.16501 - 5.03595i) q^{66} +(-0.140263 + 0.242942i) q^{67} +(-1.00552 - 1.74161i) q^{68} +(-0.348323 + 0.0980722i) q^{69} -27.5343 q^{70} +(3.43003 - 5.94099i) q^{71} +(-0.173006 - 6.83611i) q^{72} +(-0.416690 + 0.721728i) q^{73} +(-3.54671 - 6.14309i) q^{74} +(-11.3207 - 11.0378i) q^{75} +(2.02173 - 1.52682i) q^{76} +(5.90977 + 10.2360i) q^{77} +(1.07136 + 1.04459i) q^{78} +(5.91744 + 10.2493i) q^{79} +(9.06739 + 15.7052i) q^{80} +(-8.98848 + 0.455246i) q^{81} +(-0.754561 - 1.30694i) q^{82} +(3.63125 - 6.28951i) q^{83} +(1.13180 - 4.44831i) q^{84} +(-6.50274 + 11.2631i) q^{85} +(-3.20387 + 5.54927i) q^{86} +(1.05883 + 1.03238i) q^{87} +(2.95450 - 5.11735i) q^{88} +(-3.20392 - 5.54936i) q^{89} +(15.4555 - 9.45247i) q^{90} +(-1.22584 - 2.12322i) q^{91} +(0.0607154 + 0.105162i) q^{92} +(3.27596 - 12.8754i) q^{93} +(2.52311 + 4.37015i) q^{94} +(-15.0885 - 6.38597i) q^{95} +(-5.32256 + 1.49860i) q^{96} +(3.18119 + 5.50998i) q^{97} +(-11.0765 + 19.1851i) q^{98} +(-6.83125 - 3.71683i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q + q^{2} - 2 q^{3} - 17 q^{4} - 6 q^{5} + 2 q^{6} + q^{7} - 36 q^{8} - 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 32 q + q^{2} - 2 q^{3} - 17 q^{4} - 6 q^{5} + 2 q^{6} + q^{7} - 36 q^{8} - 10 q^{9} - 8 q^{10} + 7 q^{11} - 3 q^{12} - 4 q^{13} - 2 q^{14} + q^{15} - 11 q^{16} - 7 q^{17} + 6 q^{18} + 7 q^{19} - 3 q^{20} + 11 q^{21} + 16 q^{22} + 5 q^{23} + 27 q^{24} + 18 q^{25} - 4 q^{26} - 5 q^{27} - 10 q^{28} - 20 q^{29} - 5 q^{30} - 10 q^{31} + 17 q^{32} + 34 q^{33} + 26 q^{34} - 3 q^{35} - 16 q^{36} + 2 q^{37} + 38 q^{38} - 24 q^{40} - 12 q^{41} + 25 q^{42} + 7 q^{43} + 20 q^{44} - 35 q^{45} + 18 q^{47} - 33 q^{48} - 13 q^{49} + q^{50} - 28 q^{51} + 19 q^{52} + 16 q^{53} + 35 q^{54} + 15 q^{55} - 6 q^{56} + 6 q^{57} - 74 q^{59} + 50 q^{60} + 24 q^{61} + 54 q^{62} - 30 q^{63} - 64 q^{64} + 54 q^{65} + 4 q^{66} - 11 q^{67} - 2 q^{68} + 3 q^{69} - 48 q^{70} + 9 q^{71} - 10 q^{73} + 6 q^{74} - 76 q^{75} + 29 q^{76} + 46 q^{77} - 82 q^{78} - 8 q^{79} - 24 q^{80} + 26 q^{81} + 7 q^{82} + 3 q^{83} + 12 q^{84} - 27 q^{85} + 17 q^{86} - 9 q^{87} + 9 q^{88} + 30 q^{89} - 74 q^{90} - q^{91} - 17 q^{92} - 24 q^{93} - 18 q^{94} - 6 q^{95} - 5 q^{96} + 18 q^{98} - 10 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(154\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.803309 1.39137i −0.568025 0.983849i −0.996761 0.0804188i \(-0.974374\pi\)
0.428736 0.903430i \(-0.358959\pi\)
\(3\) −1.24014 1.20915i −0.715996 0.698105i
\(4\) −0.290611 + 0.503353i −0.145306 + 0.251677i
\(5\) 3.75880 1.68098 0.840492 0.541823i \(-0.182266\pi\)
0.840492 + 0.541823i \(0.182266\pi\)
\(6\) −0.686165 + 2.69682i −0.280126 + 1.10097i
\(7\) 2.27973 3.94861i 0.861656 1.49243i −0.00867312 0.999962i \(-0.502761\pi\)
0.870329 0.492470i \(-0.163906\pi\)
\(8\) −2.27943 −0.805902
\(9\) 0.0758986 + 2.99904i 0.0252995 + 0.999680i
\(10\) −3.01948 5.22989i −0.954842 1.65383i
\(11\) −1.29616 + 2.24501i −0.390806 + 0.676896i −0.992556 0.121789i \(-0.961137\pi\)
0.601750 + 0.798684i \(0.294470\pi\)
\(12\) 0.969030 0.272836i 0.279735 0.0787608i
\(13\) 0.268857 0.465674i 0.0745675 0.129155i −0.826331 0.563185i \(-0.809576\pi\)
0.900898 + 0.434031i \(0.142909\pi\)
\(14\) −7.32531 −1.95777
\(15\) −4.66144 4.54496i −1.20358 1.17350i
\(16\) 2.41231 + 4.17825i 0.603078 + 1.04456i
\(17\) −1.73001 + 2.99646i −0.419588 + 0.726748i −0.995898 0.0904832i \(-0.971159\pi\)
0.576310 + 0.817231i \(0.304492\pi\)
\(18\) 4.11181 2.51476i 0.969163 0.592734i
\(19\) −4.01417 1.69894i −0.920915 0.389764i
\(20\) −1.09235 + 1.89200i −0.244256 + 0.423065i
\(21\) −7.60165 + 2.14029i −1.65882 + 0.467049i
\(22\) 4.16486 0.887951
\(23\) 0.104462 0.180933i 0.0217818 0.0377271i −0.854929 0.518745i \(-0.826399\pi\)
0.876711 + 0.481018i \(0.159733\pi\)
\(24\) 2.82682 + 2.75618i 0.577022 + 0.562604i
\(25\) 9.12855 1.82571
\(26\) −0.863901 −0.169425
\(27\) 3.53217 3.81100i 0.679767 0.733428i
\(28\) 1.32503 + 2.29502i 0.250407 + 0.433717i
\(29\) −0.853801 −0.158547 −0.0792735 0.996853i \(-0.525260\pi\)
−0.0792735 + 0.996853i \(0.525260\pi\)
\(30\) −2.57916 + 10.1368i −0.470887 + 1.85072i
\(31\) 3.83524 + 6.64283i 0.688829 + 1.19309i 0.972217 + 0.234082i \(0.0752084\pi\)
−0.283388 + 0.959005i \(0.591458\pi\)
\(32\) 1.59623 2.76475i 0.282176 0.488744i
\(33\) 4.32198 1.21688i 0.752360 0.211831i
\(34\) 5.55892 0.953347
\(35\) 8.56903 14.8420i 1.44843 2.50876i
\(36\) −1.53163 0.833350i −0.255272 0.138892i
\(37\) 4.41513 0.725843 0.362921 0.931820i \(-0.381779\pi\)
0.362921 + 0.931820i \(0.381779\pi\)
\(38\) 0.860764 + 6.94999i 0.139634 + 1.12744i
\(39\) −0.896491 + 0.252412i −0.143554 + 0.0404183i
\(40\) −8.56793 −1.35471
\(41\) 0.939316 0.146697 0.0733483 0.997306i \(-0.476632\pi\)
0.0733483 + 0.997306i \(0.476632\pi\)
\(42\) 9.08441 + 8.85741i 1.40176 + 1.36673i
\(43\) −1.99417 3.45401i −0.304108 0.526731i 0.672954 0.739684i \(-0.265025\pi\)
−0.977062 + 0.212953i \(0.931692\pi\)
\(44\) −0.753355 1.30485i −0.113573 0.196713i
\(45\) 0.285287 + 11.2728i 0.0425281 + 1.68045i
\(46\) −0.335660 −0.0494904
\(47\) −3.14090 −0.458147 −0.229073 0.973409i \(-0.573570\pi\)
−0.229073 + 0.973409i \(0.573570\pi\)
\(48\) 2.06053 8.09847i 0.297412 1.16891i
\(49\) −6.89432 11.9413i −0.984903 1.70590i
\(50\) −7.33305 12.7012i −1.03705 1.79622i
\(51\) 5.76863 1.62419i 0.807770 0.227432i
\(52\) 0.156266 + 0.270660i 0.0216701 + 0.0375338i
\(53\) 5.68786 + 9.85167i 0.781288 + 1.35323i 0.931192 + 0.364530i \(0.118770\pi\)
−0.149903 + 0.988701i \(0.547896\pi\)
\(54\) −8.13995 1.85315i −1.10771 0.252182i
\(55\) −4.87199 + 8.43853i −0.656939 + 1.13785i
\(56\) −5.19649 + 9.00059i −0.694410 + 1.20275i
\(57\) 2.92386 + 6.96068i 0.387275 + 0.921964i
\(58\) 0.685866 + 1.18796i 0.0900587 + 0.155986i
\(59\) 2.40432 0.313016 0.156508 0.987677i \(-0.449976\pi\)
0.156508 + 0.987677i \(0.449976\pi\)
\(60\) 3.64238 1.02553i 0.470230 0.132396i
\(61\) −7.18979 −0.920558 −0.460279 0.887774i \(-0.652251\pi\)
−0.460279 + 0.887774i \(0.652251\pi\)
\(62\) 6.16176 10.6725i 0.782545 1.35541i
\(63\) 12.0151 + 6.53730i 1.51375 + 0.823623i
\(64\) 4.52018 0.565023
\(65\) 1.01058 1.75037i 0.125347 0.217107i
\(66\) −5.16501 5.03595i −0.635769 0.619883i
\(67\) −0.140263 + 0.242942i −0.0171358 + 0.0296801i −0.874466 0.485087i \(-0.838788\pi\)
0.857330 + 0.514767i \(0.172121\pi\)
\(68\) −1.00552 1.74161i −0.121937 0.211201i
\(69\) −0.348323 + 0.0980722i −0.0419331 + 0.0118065i
\(70\) −27.5343 −3.29098
\(71\) 3.43003 5.94099i 0.407070 0.705066i −0.587490 0.809231i \(-0.699884\pi\)
0.994560 + 0.104165i \(0.0332172\pi\)
\(72\) −0.173006 6.83611i −0.0203889 0.805644i
\(73\) −0.416690 + 0.721728i −0.0487698 + 0.0844718i −0.889380 0.457169i \(-0.848863\pi\)
0.840610 + 0.541641i \(0.182197\pi\)
\(74\) −3.54671 6.14309i −0.412297 0.714120i
\(75\) −11.3207 11.0378i −1.30720 1.27454i
\(76\) 2.02173 1.52682i 0.231908 0.175138i
\(77\) 5.90977 + 10.2360i 0.673481 + 1.16650i
\(78\) 1.07136 + 1.04459i 0.121307 + 0.118276i
\(79\) 5.91744 + 10.2493i 0.665764 + 1.15314i 0.979077 + 0.203488i \(0.0652278\pi\)
−0.313313 + 0.949650i \(0.601439\pi\)
\(80\) 9.06739 + 15.7052i 1.01377 + 1.75589i
\(81\) −8.98848 + 0.455246i −0.998720 + 0.0505829i
\(82\) −0.754561 1.30694i −0.0833273 0.144327i
\(83\) 3.63125 6.28951i 0.398582 0.690364i −0.594970 0.803748i \(-0.702836\pi\)
0.993551 + 0.113385i \(0.0361692\pi\)
\(84\) 1.13180 4.44831i 0.123490 0.485350i
\(85\) −6.50274 + 11.2631i −0.705322 + 1.22165i
\(86\) −3.20387 + 5.54927i −0.345483 + 0.598393i
\(87\) 1.05883 + 1.03238i 0.113519 + 0.110682i
\(88\) 2.95450 5.11735i 0.314951 0.545512i
\(89\) −3.20392 5.54936i −0.339615 0.588231i 0.644745 0.764398i \(-0.276963\pi\)
−0.984360 + 0.176167i \(0.943630\pi\)
\(90\) 15.4555 9.45247i 1.62915 0.996378i
\(91\) −1.22584 2.12322i −0.128503 0.222574i
\(92\) 0.0607154 + 0.105162i 0.00633002 + 0.0109639i
\(93\) 3.27596 12.8754i 0.339701 1.33512i
\(94\) 2.52311 + 4.37015i 0.260239 + 0.450747i
\(95\) −15.0885 6.38597i −1.54804 0.655187i
\(96\) −5.32256 + 1.49860i −0.543232 + 0.152950i
\(97\) 3.18119 + 5.50998i 0.323001 + 0.559453i 0.981106 0.193473i \(-0.0619751\pi\)
−0.658105 + 0.752926i \(0.728642\pi\)
\(98\) −11.0765 + 19.1851i −1.11890 + 1.93799i
\(99\) −6.83125 3.71683i −0.686566 0.373556i
\(100\) −2.65286 + 4.59489i −0.265286 + 0.459489i
\(101\) −2.31014 −0.229868 −0.114934 0.993373i \(-0.536666\pi\)
−0.114934 + 0.993373i \(0.536666\pi\)
\(102\) −6.89384 6.72159i −0.682592 0.665536i
\(103\) −3.73572 6.47046i −0.368092 0.637554i 0.621175 0.783672i \(-0.286655\pi\)
−0.989267 + 0.146118i \(0.953322\pi\)
\(104\) −0.612842 + 1.06147i −0.0600941 + 0.104086i
\(105\) −28.5731 + 8.04490i −2.78845 + 0.785102i
\(106\) 9.13823 15.8279i 0.887583 1.53734i
\(107\) −8.56202 −0.827722 −0.413861 0.910340i \(-0.635820\pi\)
−0.413861 + 0.910340i \(0.635820\pi\)
\(108\) 0.891793 + 2.88545i 0.0858128 + 0.277653i
\(109\) 5.16271 8.94207i 0.494498 0.856495i −0.505482 0.862837i \(-0.668685\pi\)
0.999980 + 0.00634184i \(0.00201868\pi\)
\(110\) 15.6549 1.49263
\(111\) −5.47538 5.33857i −0.519700 0.506714i
\(112\) 21.9977 2.07858
\(113\) −7.77287 13.4630i −0.731210 1.26649i −0.956366 0.292170i \(-0.905623\pi\)
0.225156 0.974323i \(-0.427711\pi\)
\(114\) 7.33613 9.65976i 0.687091 0.904719i
\(115\) 0.392650 0.680090i 0.0366148 0.0634187i
\(116\) 0.248124 0.429764i 0.0230377 0.0399026i
\(117\) 1.41698 + 0.770969i 0.131000 + 0.0712761i
\(118\) −1.93141 3.34531i −0.177801 0.307960i
\(119\) 7.88789 + 13.6622i 0.723082 + 1.25241i
\(120\) 10.6254 + 10.3599i 0.969966 + 0.945729i
\(121\) 2.13996 + 3.70651i 0.194541 + 0.336956i
\(122\) 5.77562 + 10.0037i 0.522900 + 0.905690i
\(123\) −1.16488 1.13578i −0.105034 0.102410i
\(124\) −4.45825 −0.400363
\(125\) 15.5184 1.38801
\(126\) −0.555980 21.9689i −0.0495307 1.95714i
\(127\) 6.30706 + 10.9241i 0.559661 + 0.969361i 0.997525 + 0.0703197i \(0.0224020\pi\)
−0.437864 + 0.899041i \(0.644265\pi\)
\(128\) −6.82357 11.8188i −0.603124 1.04464i
\(129\) −1.70337 + 6.69472i −0.149973 + 0.589437i
\(130\) −3.24723 −0.284801
\(131\) 19.7774 1.72796 0.863980 0.503526i \(-0.167964\pi\)
0.863980 + 0.503526i \(0.167964\pi\)
\(132\) −0.643496 + 2.52912i −0.0560091 + 0.220131i
\(133\) −15.8597 + 11.9773i −1.37521 + 1.03856i
\(134\) 0.450697 0.0389343
\(135\) 13.2767 14.3248i 1.14268 1.23288i
\(136\) 3.94344 6.83023i 0.338147 0.585688i
\(137\) 11.7148 1.00086 0.500430 0.865777i \(-0.333175\pi\)
0.500430 + 0.865777i \(0.333175\pi\)
\(138\) 0.416266 + 0.405864i 0.0354349 + 0.0345495i
\(139\) −8.92017 + 15.4502i −0.756599 + 1.31047i 0.187976 + 0.982174i \(0.439807\pi\)
−0.944575 + 0.328294i \(0.893526\pi\)
\(140\) 4.98051 + 8.62650i 0.420930 + 0.729072i
\(141\) 3.89515 + 3.79782i 0.328031 + 0.319834i
\(142\) −11.0215 −0.924904
\(143\) 0.696961 + 1.20717i 0.0582828 + 0.100949i
\(144\) −12.3476 + 7.55174i −1.02897 + 0.629312i
\(145\) −3.20927 −0.266515
\(146\) 1.33892 0.110810
\(147\) −5.88895 + 23.1452i −0.485712 + 1.90898i
\(148\) −1.28309 + 2.22237i −0.105469 + 0.182678i
\(149\) −16.1092 −1.31972 −0.659859 0.751389i \(-0.729384\pi\)
−0.659859 + 0.751389i \(0.729384\pi\)
\(150\) −6.26370 + 24.6181i −0.511429 + 2.01006i
\(151\) −0.821225 + 1.42240i −0.0668303 + 0.115754i −0.897504 0.441005i \(-0.854622\pi\)
0.830674 + 0.556759i \(0.187955\pi\)
\(152\) 9.15005 + 3.87262i 0.742167 + 0.314111i
\(153\) −9.11781 4.96093i −0.737131 0.401068i
\(154\) 9.49474 16.4454i 0.765108 1.32521i
\(155\) 14.4159 + 24.9690i 1.15791 + 2.00556i
\(156\) 0.133478 0.524605i 0.0106868 0.0420021i
\(157\) 10.6210 0.847648 0.423824 0.905745i \(-0.360688\pi\)
0.423824 + 0.905745i \(0.360688\pi\)
\(158\) 9.50707 16.4667i 0.756342 1.31002i
\(159\) 4.85842 19.0950i 0.385298 1.51433i
\(160\) 5.99991 10.3921i 0.474334 0.821571i
\(161\) −0.476288 0.824956i −0.0375368 0.0650156i
\(162\) 7.85394 + 12.1406i 0.617064 + 0.953857i
\(163\) −22.0892 −1.73016 −0.865080 0.501634i \(-0.832732\pi\)
−0.865080 + 0.501634i \(0.832732\pi\)
\(164\) −0.272976 + 0.472808i −0.0213158 + 0.0369201i
\(165\) 16.2454 4.57399i 1.26471 0.356085i
\(166\) −11.6681 −0.905618
\(167\) −6.54741 + 11.3404i −0.506654 + 0.877550i 0.493316 + 0.869850i \(0.335784\pi\)
−0.999970 + 0.00770038i \(0.997549\pi\)
\(168\) 17.3275 4.87864i 1.33684 0.376395i
\(169\) 6.35543 + 11.0079i 0.488879 + 0.846764i
\(170\) 20.8949 1.60256
\(171\) 4.79052 12.1676i 0.366340 0.930481i
\(172\) 2.31811 0.176755
\(173\) −6.28949 10.8937i −0.478181 0.828234i 0.521506 0.853248i \(-0.325370\pi\)
−0.999687 + 0.0250137i \(0.992037\pi\)
\(174\) 0.585849 2.30255i 0.0444131 0.174556i
\(175\) 20.8106 36.0450i 1.57313 2.72475i
\(176\) −12.5069 −0.942746
\(177\) −2.98170 2.90719i −0.224118 0.218518i
\(178\) −5.14748 + 8.91570i −0.385820 + 0.668260i
\(179\) −23.1728 −1.73202 −0.866008 0.500031i \(-0.833322\pi\)
−0.866008 + 0.500031i \(0.833322\pi\)
\(180\) −5.75710 3.13239i −0.429109 0.233475i
\(181\) 1.87031 + 3.23948i 0.139019 + 0.240789i 0.927126 0.374751i \(-0.122272\pi\)
−0.788106 + 0.615539i \(0.788938\pi\)
\(182\) −1.96946 + 3.41120i −0.145986 + 0.252855i
\(183\) 8.91635 + 8.69355i 0.659116 + 0.642646i
\(184\) −0.238113 + 0.412425i −0.0175540 + 0.0304044i
\(185\) 16.5956 1.22013
\(186\) −20.5461 + 5.78487i −1.50652 + 0.424168i
\(187\) −4.48472 7.76776i −0.327955 0.568035i
\(188\) 0.912779 1.58098i 0.0665712 0.115305i
\(189\) −6.99576 22.6352i −0.508867 1.64647i
\(190\) 3.23544 + 26.1236i 0.234723 + 1.89520i
\(191\) −7.37837 + 12.7797i −0.533880 + 0.924707i 0.465337 + 0.885134i \(0.345933\pi\)
−0.999217 + 0.0395734i \(0.987400\pi\)
\(192\) −5.60566 5.46559i −0.404554 0.394445i
\(193\) −5.67586 −0.408558 −0.204279 0.978913i \(-0.565485\pi\)
−0.204279 + 0.978913i \(0.565485\pi\)
\(194\) 5.11095 8.85243i 0.366945 0.635568i
\(195\) −3.36973 + 0.948766i −0.241311 + 0.0679425i
\(196\) 8.01426 0.572447
\(197\) −12.2959 −0.876046 −0.438023 0.898964i \(-0.644321\pi\)
−0.438023 + 0.898964i \(0.644321\pi\)
\(198\) 0.316107 + 12.4906i 0.0224647 + 0.887667i
\(199\) 0.0159042 + 0.0275469i 0.00112742 + 0.00195275i 0.866589 0.499023i \(-0.166308\pi\)
−0.865461 + 0.500976i \(0.832974\pi\)
\(200\) −20.8079 −1.47134
\(201\) 0.467699 0.131683i 0.0329890 0.00928822i
\(202\) 1.85576 + 3.21427i 0.130571 + 0.226155i
\(203\) −1.94644 + 3.37132i −0.136613 + 0.236621i
\(204\) −0.858887 + 3.37567i −0.0601341 + 0.236344i
\(205\) 3.53070 0.246595
\(206\) −6.00188 + 10.3956i −0.418171 + 0.724293i
\(207\) 0.550553 + 0.299552i 0.0382661 + 0.0208203i
\(208\) 2.59427 0.179880
\(209\) 9.01714 6.80977i 0.623729 0.471041i
\(210\) 34.1465 + 33.2932i 2.35633 + 2.29745i
\(211\) −22.3398 −1.53794 −0.768969 0.639286i \(-0.779230\pi\)
−0.768969 + 0.639286i \(0.779230\pi\)
\(212\) −6.61183 −0.454102
\(213\) −11.4373 + 3.22023i −0.783670 + 0.220647i
\(214\) 6.87795 + 11.9130i 0.470167 + 0.814353i
\(215\) −7.49569 12.9829i −0.511202 0.885427i
\(216\) −8.05136 + 8.68694i −0.547825 + 0.591071i
\(217\) 34.9732 2.37414
\(218\) −16.5890 −1.12355
\(219\) 1.38943 0.391202i 0.0938892 0.0264350i
\(220\) −2.83171 4.90466i −0.190914 0.330672i
\(221\) 0.930249 + 1.61124i 0.0625753 + 0.108384i
\(222\) −3.02951 + 11.9068i −0.203327 + 0.799133i
\(223\) 3.43392 + 5.94773i 0.229952 + 0.398289i 0.957794 0.287456i \(-0.0928096\pi\)
−0.727841 + 0.685746i \(0.759476\pi\)
\(224\) −7.27795 12.6058i −0.486278 0.842258i
\(225\) 0.692844 + 27.3769i 0.0461896 + 1.82513i
\(226\) −12.4880 + 21.6299i −0.830692 + 1.43880i
\(227\) 4.44987 7.70739i 0.295348 0.511558i −0.679718 0.733474i \(-0.737898\pi\)
0.975066 + 0.221916i \(0.0712311\pi\)
\(228\) −4.35339 0.551115i −0.288310 0.0364985i
\(229\) −4.13454 7.16123i −0.273218 0.473228i 0.696466 0.717590i \(-0.254755\pi\)
−0.969684 + 0.244362i \(0.921421\pi\)
\(230\) −1.26168 −0.0831926
\(231\) 5.04797 19.8399i 0.332132 1.30537i
\(232\) 1.94618 0.127773
\(233\) 0.668571 1.15800i 0.0437995 0.0758630i −0.843295 0.537452i \(-0.819387\pi\)
0.887094 + 0.461589i \(0.152720\pi\)
\(234\) −0.0655689 2.59087i −0.00428637 0.169371i
\(235\) −11.8060 −0.770138
\(236\) −0.698722 + 1.21022i −0.0454829 + 0.0787788i
\(237\) 5.05452 19.8657i 0.328327 1.29042i
\(238\) 12.6728 21.9500i 0.821457 1.42281i
\(239\) 3.40198 + 5.89240i 0.220056 + 0.381147i 0.954825 0.297170i \(-0.0960428\pi\)
−0.734769 + 0.678317i \(0.762709\pi\)
\(240\) 7.74513 30.4405i 0.499946 1.96493i
\(241\) 7.42157 0.478065 0.239033 0.971012i \(-0.423170\pi\)
0.239033 + 0.971012i \(0.423170\pi\)
\(242\) 3.43809 5.95495i 0.221009 0.382799i
\(243\) 11.6974 + 10.3039i 0.750391 + 0.660994i
\(244\) 2.08943 3.61900i 0.133762 0.231683i
\(245\) −25.9144 44.8850i −1.65561 2.86760i
\(246\) −0.644526 + 2.53317i −0.0410935 + 0.161509i
\(247\) −1.87039 + 1.41252i −0.119010 + 0.0898768i
\(248\) −8.74218 15.1419i −0.555129 0.961511i
\(249\) −12.1082 + 3.40914i −0.767329 + 0.216046i
\(250\) −12.4661 21.5919i −0.788423 1.36559i
\(251\) −7.83717 13.5744i −0.494678 0.856807i 0.505303 0.862942i \(-0.331381\pi\)
−0.999981 + 0.00613456i \(0.998047\pi\)
\(252\) −6.78228 + 4.14800i −0.427243 + 0.261300i
\(253\) 0.270797 + 0.469035i 0.0170249 + 0.0294880i
\(254\) 10.1330 17.5509i 0.635803 1.10124i
\(255\) 21.6831 6.10500i 1.35785 0.382310i
\(256\) −6.44268 + 11.1591i −0.402668 + 0.697441i
\(257\) 3.69675 6.40296i 0.230597 0.399406i −0.727387 0.686228i \(-0.759265\pi\)
0.957984 + 0.286822i \(0.0925987\pi\)
\(258\) 10.6832 3.00791i 0.665105 0.187264i
\(259\) 10.0653 17.4336i 0.625427 1.08327i
\(260\) 0.587371 + 1.01736i 0.0364272 + 0.0630937i
\(261\) −0.0648023 2.56058i −0.00401116 0.158496i
\(262\) −15.8874 27.5177i −0.981525 1.70005i
\(263\) −1.41631 2.45312i −0.0873335 0.151266i 0.819050 0.573723i \(-0.194501\pi\)
−0.906383 + 0.422457i \(0.861168\pi\)
\(264\) −9.85166 + 2.77379i −0.606328 + 0.170715i
\(265\) 21.3795 + 37.0304i 1.31333 + 2.27476i
\(266\) 29.4051 + 12.4453i 1.80294 + 0.763068i
\(267\) −2.73671 + 10.7560i −0.167484 + 0.658258i
\(268\) −0.0815237 0.141203i −0.00497985 0.00862536i
\(269\) −5.71883 + 9.90530i −0.348683 + 0.603937i −0.986016 0.166652i \(-0.946704\pi\)
0.637333 + 0.770589i \(0.280038\pi\)
\(270\) −30.5964 6.96562i −1.86204 0.423914i
\(271\) 13.8181 23.9337i 0.839390 1.45387i −0.0510155 0.998698i \(-0.516246\pi\)
0.890405 0.455168i \(-0.150421\pi\)
\(272\) −16.6933 −1.01218
\(273\) −1.04708 + 4.11532i −0.0633722 + 0.249071i
\(274\) −9.41058 16.2996i −0.568514 0.984695i
\(275\) −11.8320 + 20.4937i −0.713499 + 1.23582i
\(276\) 0.0518615 0.203830i 0.00312170 0.0122691i
\(277\) −5.19514 + 8.99825i −0.312146 + 0.540653i −0.978827 0.204691i \(-0.934381\pi\)
0.666681 + 0.745343i \(0.267714\pi\)
\(278\) 28.6626 1.71907
\(279\) −19.6310 + 12.0062i −1.17528 + 0.718793i
\(280\) −19.5326 + 33.8314i −1.16729 + 2.02181i
\(281\) 8.50448 0.507335 0.253667 0.967292i \(-0.418363\pi\)
0.253667 + 0.967292i \(0.418363\pi\)
\(282\) 2.15517 8.47043i 0.128339 0.504407i
\(283\) −1.36691 −0.0812541 −0.0406270 0.999174i \(-0.512936\pi\)
−0.0406270 + 0.999174i \(0.512936\pi\)
\(284\) 1.99361 + 3.45304i 0.118299 + 0.204900i
\(285\) 10.9902 + 26.1638i 0.651004 + 1.54981i
\(286\) 1.11975 1.93947i 0.0662123 0.114683i
\(287\) 2.14139 3.70899i 0.126402 0.218935i
\(288\) 8.41276 + 4.57732i 0.495726 + 0.269721i
\(289\) 2.51415 + 4.35464i 0.147891 + 0.256155i
\(290\) 2.57803 + 4.46528i 0.151387 + 0.262210i
\(291\) 2.71729 10.6797i 0.159290 0.626055i
\(292\) −0.242189 0.419484i −0.0141731 0.0245485i
\(293\) −0.373905 0.647623i −0.0218438 0.0378345i 0.854897 0.518798i \(-0.173620\pi\)
−0.876741 + 0.480963i \(0.840287\pi\)
\(294\) 36.9342 10.3990i 2.15405 0.606484i
\(295\) 9.03735 0.526175
\(296\) −10.0640 −0.584958
\(297\) 3.97749 + 12.8694i 0.230797 + 0.746759i
\(298\) 12.9407 + 22.4139i 0.749633 + 1.29840i
\(299\) −0.0561705 0.0972901i −0.00324842 0.00562643i
\(300\) 8.84584 2.49059i 0.510715 0.143794i
\(301\) −18.1847 −1.04815
\(302\) 2.63879 0.151845
\(303\) 2.86490 + 2.79332i 0.164584 + 0.160472i
\(304\) −2.58485 20.8706i −0.148251 1.19701i
\(305\) −27.0250 −1.54744
\(306\) 0.421914 + 16.6714i 0.0241192 + 0.953042i
\(307\) 5.56496 9.63880i 0.317609 0.550115i −0.662379 0.749169i \(-0.730453\pi\)
0.979989 + 0.199053i \(0.0637866\pi\)
\(308\) −6.86978 −0.391442
\(309\) −3.19096 + 12.5413i −0.181527 + 0.713452i
\(310\) 23.1608 40.1157i 1.31545 2.27842i
\(311\) 6.07360 + 10.5198i 0.344402 + 0.596522i 0.985245 0.171150i \(-0.0547483\pi\)
−0.640843 + 0.767672i \(0.721415\pi\)
\(312\) 2.04349 0.575357i 0.115690 0.0325732i
\(313\) −26.3132 −1.48731 −0.743656 0.668563i \(-0.766910\pi\)
−0.743656 + 0.668563i \(0.766910\pi\)
\(314\) −8.53194 14.7778i −0.481485 0.833957i
\(315\) 45.1621 + 24.5724i 2.54460 + 1.38450i
\(316\) −6.87870 −0.386957
\(317\) −13.4516 −0.755520 −0.377760 0.925904i \(-0.623306\pi\)
−0.377760 + 0.925904i \(0.623306\pi\)
\(318\) −30.4710 + 8.57928i −1.70873 + 0.481102i
\(319\) 1.10666 1.91679i 0.0619611 0.107320i
\(320\) 16.9904 0.949795
\(321\) 10.6181 + 10.3528i 0.592645 + 0.577836i
\(322\) −0.765214 + 1.32539i −0.0426437 + 0.0738610i
\(323\) 12.0354 9.08913i 0.669665 0.505733i
\(324\) 2.38300 4.65668i 0.132389 0.258704i
\(325\) 2.45427 4.25093i 0.136139 0.235799i
\(326\) 17.7445 + 30.7343i 0.982775 + 1.70222i
\(327\) −17.2148 + 4.84693i −0.951982 + 0.268036i
\(328\) −2.14111 −0.118223
\(329\) −7.16039 + 12.4022i −0.394765 + 0.683753i
\(330\) −19.4142 18.9291i −1.06872 1.04201i
\(331\) 2.15691 3.73589i 0.118555 0.205343i −0.800640 0.599145i \(-0.795507\pi\)
0.919195 + 0.393802i \(0.128841\pi\)
\(332\) 2.11056 + 3.65560i 0.115832 + 0.200627i
\(333\) 0.335102 + 13.2412i 0.0183635 + 0.725611i
\(334\) 21.0384 1.15117
\(335\) −0.527219 + 0.913169i −0.0288050 + 0.0498918i
\(336\) −27.2802 26.5985i −1.48826 1.45107i
\(337\) −2.91534 −0.158809 −0.0794044 0.996842i \(-0.525302\pi\)
−0.0794044 + 0.996842i \(0.525302\pi\)
\(338\) 10.2108 17.6855i 0.555392 0.961967i
\(339\) −6.63938 + 26.0946i −0.360602 + 1.41726i
\(340\) −3.77954 6.54635i −0.204974 0.355026i
\(341\) −19.8843 −1.07679
\(342\) −20.7780 + 3.10896i −1.12354 + 0.168113i
\(343\) −30.9525 −1.67128
\(344\) 4.54558 + 7.87318i 0.245082 + 0.424494i
\(345\) −1.30927 + 0.368633i −0.0704890 + 0.0198466i
\(346\) −10.1048 + 17.5020i −0.543238 + 0.940916i
\(347\) −14.7943 −0.794199 −0.397099 0.917776i \(-0.629983\pi\)
−0.397099 + 0.917776i \(0.629983\pi\)
\(348\) −0.827359 + 0.232947i −0.0443511 + 0.0124873i
\(349\) 0.668641 1.15812i 0.0357915 0.0619927i −0.847575 0.530676i \(-0.821938\pi\)
0.883366 + 0.468683i \(0.155271\pi\)
\(350\) −66.8694 −3.57432
\(351\) −0.825036 2.66946i −0.0440372 0.142485i
\(352\) 4.13793 + 7.16711i 0.220552 + 0.382008i
\(353\) 10.3662 17.9549i 0.551739 0.955641i −0.446410 0.894829i \(-0.647298\pi\)
0.998149 0.0608121i \(-0.0193691\pi\)
\(354\) −1.64976 + 6.48402i −0.0876838 + 0.344622i
\(355\) 12.8928 22.3310i 0.684279 1.18521i
\(356\) 3.72438 0.197392
\(357\) 6.73763 26.4808i 0.356593 1.40151i
\(358\) 18.6149 + 32.2420i 0.983829 + 1.70404i
\(359\) −2.38736 + 4.13504i −0.126000 + 0.218239i −0.922123 0.386896i \(-0.873547\pi\)
0.796123 + 0.605135i \(0.206881\pi\)
\(360\) −0.650294 25.6956i −0.0342735 1.35428i
\(361\) 13.2272 + 13.6397i 0.696168 + 0.717879i
\(362\) 3.00488 5.20460i 0.157933 0.273548i
\(363\) 1.82789 7.18413i 0.0959395 0.377069i
\(364\) 1.42497 0.0746888
\(365\) −1.56625 + 2.71283i −0.0819814 + 0.141996i
\(366\) 4.93338 19.3896i 0.257872 1.01351i
\(367\) 21.7614 1.13594 0.567969 0.823050i \(-0.307729\pi\)
0.567969 + 0.823050i \(0.307729\pi\)
\(368\) 1.00798 0.0525444
\(369\) 0.0712928 + 2.81705i 0.00371135 + 0.146650i
\(370\) −13.3314 23.0906i −0.693065 1.20042i
\(371\) 51.8671 2.69281
\(372\) 5.52886 + 5.39071i 0.286658 + 0.279495i
\(373\) 11.3702 + 19.6938i 0.588727 + 1.01971i 0.994399 + 0.105687i \(0.0337041\pi\)
−0.405672 + 0.914019i \(0.632963\pi\)
\(374\) −7.20523 + 12.4798i −0.372574 + 0.645317i
\(375\) −19.2450 18.7641i −0.993807 0.968974i
\(376\) 7.15946 0.369221
\(377\) −0.229550 + 0.397593i −0.0118224 + 0.0204771i
\(378\) −25.8742 + 27.9168i −1.33083 + 1.43588i
\(379\) −21.1367 −1.08572 −0.542859 0.839824i \(-0.682658\pi\)
−0.542859 + 0.839824i \(0.682658\pi\)
\(380\) 7.59928 5.73899i 0.389835 0.294404i
\(381\) 5.38732 21.1737i 0.276001 1.08476i
\(382\) 23.7084 1.21303
\(383\) −9.57967 −0.489498 −0.244749 0.969586i \(-0.578706\pi\)
−0.244749 + 0.969586i \(0.578706\pi\)
\(384\) −5.82851 + 22.9077i −0.297435 + 1.16900i
\(385\) 22.2136 + 38.4751i 1.13211 + 1.96087i
\(386\) 4.55947 + 7.89724i 0.232071 + 0.401959i
\(387\) 10.2074 6.24276i 0.518869 0.317337i
\(388\) −3.69795 −0.187735
\(389\) 34.4668 1.74754 0.873768 0.486343i \(-0.161670\pi\)
0.873768 + 0.486343i \(0.161670\pi\)
\(390\) 4.02702 + 3.92639i 0.203916 + 0.198821i
\(391\) 0.361439 + 0.626030i 0.0182787 + 0.0316597i
\(392\) 15.7152 + 27.2194i 0.793735 + 1.37479i
\(393\) −24.5268 23.9139i −1.23721 1.20630i
\(394\) 9.87741 + 17.1082i 0.497617 + 0.861897i
\(395\) 22.2425 + 38.5251i 1.11914 + 1.93841i
\(396\) 3.85612 2.35838i 0.193777 0.118513i
\(397\) 17.8313 30.8848i 0.894928 1.55006i 0.0610353 0.998136i \(-0.480560\pi\)
0.833893 0.551926i \(-0.186107\pi\)
\(398\) 0.0255520 0.0442574i 0.00128081 0.00221842i
\(399\) 34.1506 + 4.32327i 1.70967 + 0.216434i
\(400\) 22.0209 + 38.1414i 1.10105 + 1.90707i
\(401\) 1.13355 0.0566066 0.0283033 0.999599i \(-0.490990\pi\)
0.0283033 + 0.999599i \(0.490990\pi\)
\(402\) −0.558928 0.544961i −0.0278768 0.0271802i
\(403\) 4.12452 0.205457
\(404\) 0.671354 1.16282i 0.0334011 0.0578524i
\(405\) −33.7859 + 1.71118i −1.67883 + 0.0850290i
\(406\) 6.25436 0.310399
\(407\) −5.72270 + 9.91201i −0.283664 + 0.491320i
\(408\) −13.1492 + 3.70223i −0.650983 + 0.183288i
\(409\) −6.71319 + 11.6276i −0.331946 + 0.574947i −0.982893 0.184176i \(-0.941038\pi\)
0.650947 + 0.759123i \(0.274372\pi\)
\(410\) −2.83624 4.91251i −0.140072 0.242612i
\(411\) −14.5280 14.1649i −0.716612 0.698705i
\(412\) 4.34257 0.213943
\(413\) 5.48120 9.49371i 0.269712 0.467155i
\(414\) −0.0254761 1.00666i −0.00125208 0.0494745i
\(415\) 13.6491 23.6410i 0.670010 1.16049i
\(416\) −0.858315 1.48665i −0.0420824 0.0728888i
\(417\) 29.7439 8.37456i 1.45657 0.410104i
\(418\) −16.7185 7.07585i −0.817727 0.346091i
\(419\) 1.95049 + 3.37834i 0.0952875 + 0.165043i 0.909729 0.415203i \(-0.136290\pi\)
−0.814441 + 0.580246i \(0.802956\pi\)
\(420\) 4.25422 16.7203i 0.207585 0.815866i
\(421\) −13.6227 23.5953i −0.663932 1.14996i −0.979574 0.201085i \(-0.935553\pi\)
0.315642 0.948878i \(-0.397780\pi\)
\(422\) 17.9458 + 31.0830i 0.873588 + 1.51310i
\(423\) −0.238390 9.41967i −0.0115909 0.458000i
\(424\) −12.9651 22.4562i −0.629642 1.09057i
\(425\) −15.7925 + 27.3533i −0.766047 + 1.32683i
\(426\) 13.6682 + 13.3267i 0.662228 + 0.645680i
\(427\) −16.3908 + 28.3896i −0.793205 + 1.37387i
\(428\) 2.48822 4.30972i 0.120273 0.208318i
\(429\) 0.595326 2.33980i 0.0287426 0.112966i
\(430\) −12.0427 + 20.8586i −0.580751 + 1.00589i
\(431\) 20.2776 + 35.1217i 0.976735 + 1.69176i 0.674086 + 0.738653i \(0.264538\pi\)
0.302650 + 0.953102i \(0.402129\pi\)
\(432\) 24.4440 + 5.56496i 1.17606 + 0.267744i
\(433\) −9.37164 16.2322i −0.450372 0.780068i 0.548037 0.836454i \(-0.315375\pi\)
−0.998409 + 0.0563866i \(0.982042\pi\)
\(434\) −28.0943 48.6608i −1.34857 2.33579i
\(435\) 3.97994 + 3.88049i 0.190824 + 0.186055i
\(436\) 3.00068 + 5.19733i 0.143707 + 0.248907i
\(437\) −0.726722 + 0.548822i −0.0347638 + 0.0262537i
\(438\) −1.66045 1.61896i −0.0793395 0.0773570i
\(439\) −8.15172 14.1192i −0.389060 0.673872i 0.603263 0.797542i \(-0.293867\pi\)
−0.992323 + 0.123670i \(0.960534\pi\)
\(440\) 11.1054 19.2351i 0.529428 0.916997i
\(441\) 35.2892 21.5827i 1.68044 1.02775i
\(442\) 1.49455 2.58864i 0.0710887 0.123129i
\(443\) −26.4906 −1.25861 −0.629303 0.777160i \(-0.716659\pi\)
−0.629303 + 0.777160i \(0.716659\pi\)
\(444\) 4.27839 1.20460i 0.203043 0.0571680i
\(445\) −12.0429 20.8589i −0.570888 0.988807i
\(446\) 5.51700 9.55573i 0.261238 0.452477i
\(447\) 19.9777 + 19.4785i 0.944912 + 0.921301i
\(448\) 10.3048 17.8484i 0.486855 0.843258i
\(449\) 19.2529 0.908602 0.454301 0.890848i \(-0.349889\pi\)
0.454301 + 0.890848i \(0.349889\pi\)
\(450\) 37.5349 22.9561i 1.76941 1.08216i
\(451\) −1.21750 + 2.10877i −0.0573299 + 0.0992982i
\(452\) 9.03553 0.424995
\(453\) 2.73834 0.770994i 0.128658 0.0362244i
\(454\) −14.2985 −0.671061
\(455\) −4.60769 7.98075i −0.216012 0.374143i
\(456\) −6.66475 15.8664i −0.312106 0.743013i
\(457\) 18.2664 31.6384i 0.854467 1.47998i −0.0226720 0.999743i \(-0.507217\pi\)
0.877139 0.480237i \(-0.159449\pi\)
\(458\) −6.64263 + 11.5054i −0.310390 + 0.537610i
\(459\) 5.30884 + 17.1771i 0.247795 + 0.801757i
\(460\) 0.228217 + 0.395283i 0.0106407 + 0.0184302i
\(461\) 2.91815 + 5.05439i 0.135912 + 0.235406i 0.925945 0.377657i \(-0.123270\pi\)
−0.790034 + 0.613064i \(0.789937\pi\)
\(462\) −31.6598 + 8.91399i −1.47295 + 0.414716i
\(463\) 6.34039 + 10.9819i 0.294663 + 0.510371i 0.974906 0.222615i \(-0.0714593\pi\)
−0.680243 + 0.732986i \(0.738126\pi\)
\(464\) −2.05964 3.56739i −0.0956162 0.165612i
\(465\) 12.3137 48.3961i 0.571033 2.24432i
\(466\) −2.14828 −0.0995170
\(467\) −24.0640 −1.11355 −0.556774 0.830664i \(-0.687961\pi\)
−0.556774 + 0.830664i \(0.687961\pi\)
\(468\) −0.799860 + 0.489189i −0.0369735 + 0.0226128i
\(469\) 0.639521 + 1.10768i 0.0295303 + 0.0511481i
\(470\) 9.48386 + 16.4265i 0.437458 + 0.757699i
\(471\) −13.1715 12.8424i −0.606912 0.591747i
\(472\) −5.48049 −0.252260
\(473\) 10.3390 0.475390
\(474\) −31.7009 + 8.92556i −1.45607 + 0.409965i
\(475\) −36.6436 15.5089i −1.68132 0.711596i
\(476\) −9.16923 −0.420271
\(477\) −29.1138 + 17.8059i −1.33303 + 0.815274i
\(478\) 5.46568 9.46683i 0.249994 0.433003i
\(479\) 5.01131 0.228973 0.114486 0.993425i \(-0.463478\pi\)
0.114486 + 0.993425i \(0.463478\pi\)
\(480\) −20.0064 + 5.63292i −0.913164 + 0.257106i
\(481\) 1.18704 2.05601i 0.0541243 0.0937460i
\(482\) −5.96182 10.3262i −0.271553 0.470344i
\(483\) −0.406833 + 1.59897i −0.0185115 + 0.0727555i
\(484\) −2.48758 −0.113072
\(485\) 11.9574 + 20.7109i 0.542959 + 0.940433i
\(486\) 4.93987 24.5527i 0.224077 1.11373i
\(487\) −31.5079 −1.42776 −0.713880 0.700268i \(-0.753064\pi\)
−0.713880 + 0.700268i \(0.753064\pi\)
\(488\) 16.3887 0.741879
\(489\) 27.3937 + 26.7092i 1.23879 + 1.20783i
\(490\) −41.6345 + 72.1130i −1.88085 + 3.25773i
\(491\) 30.6070 1.38127 0.690636 0.723202i \(-0.257331\pi\)
0.690636 + 0.723202i \(0.257331\pi\)
\(492\) 0.910225 0.256279i 0.0410361 0.0115539i
\(493\) 1.47708 2.55838i 0.0665244 0.115224i
\(494\) 3.46785 + 1.46772i 0.156026 + 0.0660357i
\(495\) −25.6773 13.9708i −1.15411 0.627942i
\(496\) −18.5036 + 32.0492i −0.830836 + 1.43905i
\(497\) −15.6391 27.0877i −0.701509 1.21505i
\(498\) 14.4701 + 14.1085i 0.648418 + 0.632216i
\(499\) −10.9239 −0.489021 −0.244511 0.969647i \(-0.578627\pi\)
−0.244511 + 0.969647i \(0.578627\pi\)
\(500\) −4.50982 + 7.81123i −0.201685 + 0.349329i
\(501\) 21.8320 6.14693i 0.975384 0.274625i
\(502\) −12.5913 + 21.8088i −0.561979 + 0.973376i
\(503\) −15.0754 26.1113i −0.672178 1.16425i −0.977285 0.211928i \(-0.932026\pi\)
0.305108 0.952318i \(-0.401307\pi\)
\(504\) −27.3875 14.9014i −1.21994 0.663759i
\(505\) −8.68336 −0.386405
\(506\) 0.435068 0.753560i 0.0193411 0.0334998i
\(507\) 5.42864 21.3361i 0.241094 0.947568i
\(508\) −7.33160 −0.325287
\(509\) −1.38957 + 2.40680i −0.0615916 + 0.106680i −0.895177 0.445711i \(-0.852951\pi\)
0.833585 + 0.552391i \(0.186284\pi\)
\(510\) −25.9126 25.2651i −1.14743 1.11876i
\(511\) 1.89988 + 3.29069i 0.0840457 + 0.145571i
\(512\) −6.59240 −0.291346
\(513\) −20.6534 + 9.29709i −0.911871 + 0.410476i
\(514\) −11.8785 −0.523940
\(515\) −14.0418 24.3212i −0.618757 1.07172i
\(516\) −2.87479 2.80295i −0.126555 0.123393i
\(517\) 4.07109 7.05134i 0.179046 0.310118i
\(518\) −32.3422 −1.42103
\(519\) −5.37231 + 21.1147i −0.235818 + 0.926832i
\(520\) −2.30355 + 3.98986i −0.101017 + 0.174967i
\(521\) 13.4298 0.588371 0.294186 0.955748i \(-0.404952\pi\)
0.294186 + 0.955748i \(0.404952\pi\)
\(522\) −3.51067 + 2.14711i −0.153658 + 0.0939762i
\(523\) 5.62130 + 9.73637i 0.245802 + 0.425742i 0.962357 0.271789i \(-0.0876153\pi\)
−0.716555 + 0.697531i \(0.754282\pi\)
\(524\) −5.74753 + 9.95502i −0.251082 + 0.434887i
\(525\) −69.3921 + 19.5377i −3.02852 + 0.852696i
\(526\) −2.27547 + 3.94123i −0.0992153 + 0.171846i
\(527\) −26.5400 −1.15610
\(528\) 15.5104 + 15.1228i 0.675002 + 0.658136i
\(529\) 11.4782 + 19.8808i 0.499051 + 0.864382i
\(530\) 34.3487 59.4938i 1.49201 2.58424i
\(531\) 0.182485 + 7.21065i 0.00791916 + 0.312916i
\(532\) −1.41980 11.4637i −0.0615560 0.497016i
\(533\) 0.252542 0.437415i 0.0109388 0.0189465i
\(534\) 17.1640 4.83263i 0.742761 0.209128i
\(535\) −32.1829 −1.39139
\(536\) 0.319719 0.553770i 0.0138098 0.0239192i
\(537\) 28.7375 + 28.0194i 1.24012 + 1.20913i
\(538\) 18.3760 0.792244
\(539\) 35.7445 1.53962
\(540\) 3.35207 + 10.8458i 0.144250 + 0.466730i
\(541\) 9.55755 + 16.5542i 0.410911 + 0.711719i 0.994990 0.0999781i \(-0.0318773\pi\)
−0.584078 + 0.811697i \(0.698544\pi\)
\(542\) −44.4008 −1.90718
\(543\) 1.59757 6.27890i 0.0685584 0.269454i
\(544\) 5.52298 + 9.56608i 0.236796 + 0.410142i
\(545\) 19.4056 33.6114i 0.831243 1.43976i
\(546\) 6.56707 1.84900i 0.281045 0.0791297i
\(547\) −41.0410 −1.75479 −0.877393 0.479772i \(-0.840719\pi\)
−0.877393 + 0.479772i \(0.840719\pi\)
\(548\) −3.40444 + 5.89667i −0.145431 + 0.251893i
\(549\) −0.545695 21.5625i −0.0232897 0.920263i
\(550\) 38.0191 1.62114
\(551\) 3.42731 + 1.45056i 0.146008 + 0.0617959i
\(552\) 0.793979 0.223549i 0.0337940 0.00951488i
\(553\) 53.9607 2.29464
\(554\) 16.6932 0.709227
\(555\) −20.5809 20.0666i −0.873608 0.851779i
\(556\) −5.18460 8.97999i −0.219876 0.380836i
\(557\) −19.9467 34.5487i −0.845169 1.46388i −0.885475 0.464688i \(-0.846167\pi\)
0.0403059 0.999187i \(-0.487167\pi\)
\(558\) 32.4749 + 17.6694i 1.37477 + 0.748003i
\(559\) −2.14459 −0.0907064
\(560\) 82.6848 3.49407
\(561\) −3.83073 + 15.0558i −0.161733 + 0.635658i
\(562\) −6.83172 11.8329i −0.288179 0.499140i
\(563\) 4.46506 + 7.73371i 0.188180 + 0.325937i 0.944643 0.328099i \(-0.106408\pi\)
−0.756464 + 0.654036i \(0.773075\pi\)
\(564\) −3.04362 + 0.856948i −0.128160 + 0.0360840i
\(565\) −29.2166 50.6047i −1.22915 2.12896i
\(566\) 1.09805 + 1.90187i 0.0461544 + 0.0799417i
\(567\) −18.6937 + 36.5298i −0.785062 + 1.53411i
\(568\) −7.81854 + 13.5421i −0.328058 + 0.568214i
\(569\) −2.87302 + 4.97622i −0.120443 + 0.208614i −0.919943 0.392053i \(-0.871765\pi\)
0.799499 + 0.600667i \(0.205098\pi\)
\(570\) 27.5750 36.3091i 1.15499 1.52082i
\(571\) −6.75539 11.7007i −0.282704 0.489658i 0.689346 0.724433i \(-0.257898\pi\)
−0.972050 + 0.234774i \(0.924565\pi\)
\(572\) −0.810179 −0.0338753
\(573\) 24.6028 6.92706i 1.02780 0.289382i
\(574\) −6.88078 −0.287198
\(575\) 0.953584 1.65166i 0.0397672 0.0688788i
\(576\) 0.343075 + 13.5562i 0.0142948 + 0.564842i
\(577\) −10.9961 −0.457774 −0.228887 0.973453i \(-0.573509\pi\)
−0.228887 + 0.973453i \(0.573509\pi\)
\(578\) 4.03928 6.99625i 0.168012 0.291005i
\(579\) 7.03887 + 6.86299i 0.292525 + 0.285216i
\(580\) 0.932648 1.61539i 0.0387261 0.0670756i
\(581\) −16.5565 28.6768i −0.686881 1.18971i
\(582\) −17.0422 + 4.79834i −0.706424 + 0.198897i
\(583\) −29.4895 −1.22133
\(584\) 0.949817 1.64513i 0.0393037 0.0680760i
\(585\) 5.32614 + 2.89791i 0.220209 + 0.119814i
\(586\) −0.600723 + 1.04048i −0.0248156 + 0.0429820i
\(587\) 14.2331 + 24.6525i 0.587464 + 1.01752i 0.994563 + 0.104133i \(0.0332068\pi\)
−0.407100 + 0.913384i \(0.633460\pi\)
\(588\) −9.93882 9.69047i −0.409870 0.399628i
\(589\) −4.10954 33.1813i −0.169331 1.36721i
\(590\) −7.25979 12.5743i −0.298881 0.517677i
\(591\) 15.2486 + 14.8676i 0.627245 + 0.611572i
\(592\) 10.6507 + 18.4475i 0.437740 + 0.758188i
\(593\) −2.56192 4.43738i −0.105206 0.182222i 0.808617 0.588336i \(-0.200217\pi\)
−0.913822 + 0.406114i \(0.866883\pi\)
\(594\) 14.7110 15.8723i 0.603600 0.651248i
\(595\) 29.6490 + 51.3535i 1.21549 + 2.10529i
\(596\) 4.68152 8.10862i 0.191762 0.332142i
\(597\) 0.0135850 0.0533928i 0.000555996 0.00218522i
\(598\) −0.0902445 + 0.156308i −0.00369037 + 0.00639191i
\(599\) −13.5015 + 23.3853i −0.551656 + 0.955497i 0.446499 + 0.894784i \(0.352671\pi\)
−0.998155 + 0.0607125i \(0.980663\pi\)
\(600\) 25.8048 + 25.1600i 1.05348 + 1.02715i
\(601\) 20.4168 35.3630i 0.832819 1.44249i −0.0629745 0.998015i \(-0.520059\pi\)
0.895794 0.444470i \(-0.146608\pi\)
\(602\) 14.6079 + 25.3017i 0.595374 + 1.03122i
\(603\) −0.739238 0.402214i −0.0301041 0.0163794i
\(604\) −0.477314 0.826732i −0.0194216 0.0336393i
\(605\) 8.04366 + 13.9320i 0.327021 + 0.566417i
\(606\) 1.58514 6.23005i 0.0643920 0.253078i
\(607\) −0.992746 1.71949i −0.0402943 0.0697918i 0.845175 0.534490i \(-0.179496\pi\)
−0.885469 + 0.464698i \(0.846163\pi\)
\(608\) −11.1047 + 8.38630i −0.450355 + 0.340109i
\(609\) 6.49030 1.82738i 0.263000 0.0740492i
\(610\) 21.7094 + 37.6018i 0.878988 + 1.52245i
\(611\) −0.844451 + 1.46263i −0.0341628 + 0.0591718i
\(612\) 5.14684 3.14777i 0.208049 0.127241i
\(613\) −14.2449 + 24.6729i −0.575346 + 0.996528i 0.420658 + 0.907219i \(0.361799\pi\)
−0.996004 + 0.0893089i \(0.971534\pi\)
\(614\) −17.8815 −0.721640
\(615\) −4.37856 4.26915i −0.176561 0.172149i
\(616\) −13.4709 23.3323i −0.542759 0.940087i
\(617\) −14.7097 + 25.4779i −0.592189 + 1.02570i 0.401748 + 0.915750i \(0.368403\pi\)
−0.993937 + 0.109951i \(0.964931\pi\)
\(618\) 20.0130 5.63477i 0.805041 0.226664i
\(619\) −14.3363 + 24.8312i −0.576224 + 0.998049i 0.419684 + 0.907670i \(0.362141\pi\)
−0.995907 + 0.0903786i \(0.971192\pi\)
\(620\) −16.7577 −0.673004
\(621\) −0.320560 1.03719i −0.0128636 0.0416210i
\(622\) 9.75796 16.9013i 0.391258 0.677679i
\(623\) −29.2163 −1.17053
\(624\) −3.21726 3.13687i −0.128793 0.125575i
\(625\) 12.6877 0.507508
\(626\) 21.1377 + 36.6115i 0.844831 + 1.46329i
\(627\) −19.4166 2.45803i −0.775423 0.0981643i
\(628\) −3.08658 + 5.34611i −0.123168 + 0.213333i
\(629\) −7.63820 + 13.2298i −0.304555 + 0.527505i
\(630\) −2.08982 82.5766i −0.0832603 3.28993i
\(631\) 9.49043 + 16.4379i 0.377808 + 0.654383i 0.990743 0.135750i \(-0.0433446\pi\)
−0.612935 + 0.790133i \(0.710011\pi\)
\(632\) −13.4884 23.3626i −0.536541 0.929316i
\(633\) 27.7046 + 27.0123i 1.10116 + 1.07364i
\(634\) 10.8058 + 18.7162i 0.429154 + 0.743317i
\(635\) 23.7070 + 41.0616i 0.940782 + 1.62948i
\(636\) 8.19959 + 7.99471i 0.325135 + 0.317011i
\(637\) −7.41434 −0.293767
\(638\) −3.55596 −0.140782
\(639\) 18.0776 + 9.83589i 0.715139 + 0.389102i
\(640\) −25.6484 44.4243i −1.01384 1.75603i
\(641\) 2.73944 + 4.74484i 0.108201 + 0.187410i 0.915042 0.403359i \(-0.132158\pi\)
−0.806840 + 0.590770i \(0.798824\pi\)
\(642\) 5.87496 23.0902i 0.231866 0.911299i
\(643\) 22.3400 0.881004 0.440502 0.897752i \(-0.354801\pi\)
0.440502 + 0.897752i \(0.354801\pi\)
\(644\) 0.553659 0.0218172
\(645\) −6.40262 + 25.1641i −0.252103 + 0.990834i
\(646\) −22.3145 9.44428i −0.877951 0.371580i
\(647\) 4.90902 0.192994 0.0964968 0.995333i \(-0.469236\pi\)
0.0964968 + 0.995333i \(0.469236\pi\)
\(648\) 20.4886 1.03770i 0.804870 0.0407648i
\(649\) −3.11638 + 5.39772i −0.122328 + 0.211879i
\(650\) −7.88616 −0.309321
\(651\) −43.3717 42.2880i −1.69987 1.65740i
\(652\) 6.41937 11.1187i 0.251402 0.435441i
\(653\) −19.2926 33.4157i −0.754977 1.30766i −0.945386 0.325953i \(-0.894315\pi\)
0.190409 0.981705i \(-0.439019\pi\)
\(654\) 20.5727 + 20.0586i 0.804456 + 0.784355i
\(655\) 74.3392 2.90467
\(656\) 2.26592 + 3.92470i 0.0884695 + 0.153234i
\(657\) −2.19612 1.19489i −0.0856787 0.0466171i
\(658\) 23.0080 0.896946
\(659\) −20.4933 −0.798304 −0.399152 0.916885i \(-0.630696\pi\)
−0.399152 + 0.916885i \(0.630696\pi\)
\(660\) −2.41877 + 9.50644i −0.0941505 + 0.370038i
\(661\) 23.2088 40.1988i 0.902718 1.56355i 0.0787667 0.996893i \(-0.474902\pi\)
0.823951 0.566660i \(-0.191765\pi\)
\(662\) −6.93068 −0.269368
\(663\) 0.794594 3.12297i 0.0308595 0.121286i
\(664\) −8.27720 + 14.3365i −0.321218 + 0.556365i
\(665\) −59.6133 + 45.0201i −2.31170 + 1.74581i
\(666\) 18.1542 11.1030i 0.703460 0.430232i
\(667\) −0.0891895 + 0.154481i −0.00345343 + 0.00598152i
\(668\) −3.80550 6.59132i −0.147239 0.255026i
\(669\) 2.93317 11.5282i 0.113403 0.445704i
\(670\) 1.69408 0.0654479
\(671\) 9.31909 16.1411i 0.359760 0.623122i
\(672\) −6.21663 + 24.4331i −0.239812 + 0.942527i
\(673\) 12.7950 22.1615i 0.493209 0.854263i −0.506760 0.862087i \(-0.669157\pi\)
0.999969 + 0.00782366i \(0.00249037\pi\)
\(674\) 2.34192 + 4.05632i 0.0902074 + 0.156244i
\(675\) 32.2436 34.7890i 1.24106 1.33903i
\(676\) −7.38784 −0.284148
\(677\) 15.8898 27.5220i 0.610695 1.05775i −0.380428 0.924810i \(-0.624223\pi\)
0.991123 0.132944i \(-0.0424432\pi\)
\(678\) 41.6408 11.7242i 1.59920 0.450265i
\(679\) 29.0090 1.11326
\(680\) 14.8226 25.6735i 0.568420 0.984532i
\(681\) −14.8379 + 4.17769i −0.568589 + 0.160089i
\(682\) 15.9732 + 27.6664i 0.611646 + 1.05940i
\(683\) 46.5132 1.77978 0.889890 0.456176i \(-0.150781\pi\)
0.889890 + 0.456176i \(0.150781\pi\)
\(684\) 4.73243 + 5.94737i 0.180949 + 0.227403i
\(685\) 44.0334 1.68243
\(686\) 24.8644 + 43.0665i 0.949329 + 1.64429i
\(687\) −3.53161 + 13.8802i −0.134739 + 0.529564i
\(688\) 9.62113 16.6643i 0.366802 0.635320i
\(689\) 6.11689 0.233035
\(690\) 1.56466 + 1.52556i 0.0595655 + 0.0580771i
\(691\) −8.31573 + 14.4033i −0.316345 + 0.547926i −0.979723 0.200359i \(-0.935789\pi\)
0.663377 + 0.748285i \(0.269122\pi\)
\(692\) 7.31118 0.277929
\(693\) −30.2497 + 18.5005i −1.14909 + 0.702777i
\(694\) 11.8844 + 20.5844i 0.451125 + 0.781371i
\(695\) −33.5291 + 58.0741i −1.27183 + 2.20288i
\(696\) −2.41354 2.35323i −0.0914851 0.0891991i
\(697\) −1.62502 + 2.81462i −0.0615521 + 0.106611i
\(698\) −2.14850 −0.0813220
\(699\) −2.22932 + 0.627677i −0.0843206 + 0.0237409i
\(700\) 12.0956 + 20.9502i 0.457170 + 0.791842i
\(701\) 18.3672 31.8130i 0.693721 1.20156i −0.276889 0.960902i \(-0.589303\pi\)
0.970610 0.240658i \(-0.0773632\pi\)
\(702\) −3.05145 + 3.29233i −0.115169 + 0.124261i
\(703\) −17.7231 7.50105i −0.668439 0.282907i
\(704\) −5.85887 + 10.1479i −0.220814 + 0.382462i
\(705\) 14.6411 + 14.2752i 0.551415 + 0.537637i
\(706\) −33.3092 −1.25361
\(707\) −5.26650 + 9.12185i −0.198067 + 0.343062i
\(708\) 2.32986 0.655984i 0.0875614 0.0246534i
\(709\) −39.7998 −1.49471 −0.747356 0.664424i \(-0.768677\pi\)
−0.747356 + 0.664424i \(0.768677\pi\)
\(710\) −41.4276 −1.55475
\(711\) −30.2890 + 18.5246i −1.13593 + 0.694725i
\(712\) 7.30313 + 12.6494i 0.273696 + 0.474056i
\(713\) 1.60254 0.0600157
\(714\) −42.2570 + 11.8977i −1.58143 + 0.445260i
\(715\) 2.61974 + 4.53752i 0.0979726 + 0.169693i
\(716\) 6.73427 11.6641i 0.251671 0.435908i
\(717\) 2.90588 11.4209i 0.108522 0.426522i
\(718\) 7.67116 0.286285
\(719\) 11.0069 19.0645i 0.410487 0.710985i −0.584456 0.811425i \(-0.698692\pi\)
0.994943 + 0.100441i \(0.0320253\pi\)
\(720\) −46.4123 + 28.3855i −1.72968 + 1.05786i
\(721\) −34.0657 −1.26867
\(722\) 8.35236 29.3608i 0.310843 1.09270i
\(723\) −9.20379 8.97381i −0.342293 0.333740i
\(724\) −2.17414 −0.0808011
\(725\) −7.79397 −0.289461
\(726\) −11.4642 + 3.22780i −0.425475 + 0.119795i
\(727\) 8.41740 + 14.5794i 0.312184 + 0.540719i 0.978835 0.204652i \(-0.0656061\pi\)
−0.666651 + 0.745370i \(0.732273\pi\)
\(728\) 2.79423 + 4.83974i 0.103561 + 0.179373i
\(729\) −2.04751 26.9223i −0.0758338 0.997120i
\(730\) 5.03274 0.186270
\(731\) 13.7997 0.510401
\(732\) −6.96712 + 1.96163i −0.257512 + 0.0725039i
\(733\) 11.6819 + 20.2337i 0.431481 + 0.747347i 0.997001 0.0773873i \(-0.0246578\pi\)
−0.565520 + 0.824735i \(0.691324\pi\)
\(734\) −17.4812 30.2783i −0.645242 1.11759i
\(735\) −22.1354 + 86.9981i −0.816475 + 3.20897i
\(736\) −0.333490 0.577621i −0.0122926 0.0212914i
\(737\) −0.363605 0.629782i −0.0133935 0.0231983i
\(738\) 3.86229 2.36215i 0.142173 0.0869521i
\(739\) 26.2097 45.3966i 0.964141 1.66994i 0.252235 0.967666i \(-0.418834\pi\)
0.711906 0.702275i \(-0.247832\pi\)
\(740\) −4.82286 + 8.35343i −0.177292 + 0.307078i
\(741\) 4.02751 + 0.509860i 0.147954 + 0.0187302i
\(742\) −41.6653 72.1665i −1.52958 2.64932i
\(743\) 13.1393 0.482033 0.241016 0.970521i \(-0.422519\pi\)
0.241016 + 0.970521i \(0.422519\pi\)
\(744\) −7.46733 + 29.3487i −0.273766 + 1.07598i
\(745\) −60.5513 −2.21843
\(746\) 18.2676 31.6404i 0.668824 1.15844i
\(747\) 19.1381 + 10.4129i 0.700227 + 0.380988i
\(748\) 5.21324 0.190615
\(749\) −19.5191 + 33.8080i −0.713212 + 1.23532i
\(750\) −10.6482 + 41.8503i −0.388817 + 1.52816i
\(751\) 24.1989 41.9138i 0.883032 1.52946i 0.0350783 0.999385i \(-0.488832\pi\)
0.847953 0.530071i \(-0.177835\pi\)
\(752\) −7.57682 13.1234i −0.276298 0.478563i
\(753\) −6.69430 + 26.3105i −0.243954 + 0.958807i
\(754\) 0.737600 0.0268618
\(755\) −3.08682 + 5.34652i −0.112341 + 0.194580i
\(756\) 13.4265 + 3.05671i 0.488319 + 0.111171i
\(757\) −8.62645 + 14.9414i −0.313533 + 0.543056i −0.979125 0.203261i \(-0.934846\pi\)
0.665591 + 0.746317i \(0.268179\pi\)
\(758\) 16.9793 + 29.4090i 0.616715 + 1.06818i
\(759\) 0.231308 0.909105i 0.00839595 0.0329984i
\(760\) 34.3932 + 14.5564i 1.24757 + 0.528016i
\(761\) 14.8377 + 25.6997i 0.537867 + 0.931612i 0.999019 + 0.0442911i \(0.0141029\pi\)
−0.461152 + 0.887321i \(0.652564\pi\)
\(762\) −33.7882 + 9.51324i −1.22402 + 0.344628i
\(763\) −23.5391 40.7710i −0.852174 1.47601i
\(764\) −4.28847 7.42785i −0.155151 0.268730i
\(765\) −34.2720 18.6471i −1.23911 0.674189i
\(766\) 7.69544 + 13.3289i 0.278048 + 0.481592i
\(767\) 0.646418 1.11963i 0.0233408 0.0404275i
\(768\) 21.4828 6.04861i 0.775195 0.218260i
\(769\) 4.88919 8.46833i 0.176309 0.305376i −0.764305 0.644855i \(-0.776918\pi\)
0.940613 + 0.339479i \(0.110251\pi\)
\(770\) 35.6888 61.8148i 1.28614 2.22765i
\(771\) −12.3267 + 3.47064i −0.443934 + 0.124992i
\(772\) 1.64947 2.85696i 0.0593657 0.102824i
\(773\) 10.7481 + 18.6163i 0.386583 + 0.669581i 0.991987 0.126337i \(-0.0403220\pi\)
−0.605405 + 0.795918i \(0.706989\pi\)
\(774\) −16.8857 9.18736i −0.606942 0.330233i