Properties

Label 177.2.e.b.139.3
Level $177$
Weight $2$
Character 177.139
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 139.3
Character \(\chi\) \(=\) 177.139
Dual form 177.2.e.b.163.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.183344 + 0.110315i) q^{2} +(0.370138 - 0.928977i) q^{3} +(-0.915371 - 1.72657i) q^{4} +(-4.31685 - 0.469486i) q^{5} +(0.170342 - 0.129491i) q^{6} +(2.04860 + 0.690253i) q^{7} +(0.0458067 - 0.844855i) q^{8} +(-0.725995 - 0.687699i) q^{9} +O(q^{10})\) \(q+(0.183344 + 0.110315i) q^{2} +(0.370138 - 0.928977i) q^{3} +(-0.915371 - 1.72657i) q^{4} +(-4.31685 - 0.469486i) q^{5} +(0.170342 - 0.129491i) q^{6} +(2.04860 + 0.690253i) q^{7} +(0.0458067 - 0.844855i) q^{8} +(-0.725995 - 0.687699i) q^{9} +(-0.739679 - 0.562289i) q^{10} +(-2.75585 - 4.06457i) q^{11} +(-1.94276 + 0.211288i) q^{12} +(0.125570 - 0.118947i) q^{13} +(0.299454 + 0.352544i) q^{14} +(-2.03397 + 3.83648i) q^{15} +(-2.09176 + 3.08512i) q^{16} +(6.32648 - 2.13164i) q^{17} +(-0.0572438 - 0.206174i) q^{18} +(0.309375 - 1.88710i) q^{19} +(3.14092 + 7.88311i) q^{20} +(1.39949 - 1.64761i) q^{21} +(-0.0568874 - 1.04923i) q^{22} +(-0.787649 + 2.83686i) q^{23} +(-0.767895 - 0.355266i) q^{24} +(13.5317 + 2.97855i) q^{25} +(0.0361442 - 0.00795594i) q^{26} +(-0.907575 + 0.419889i) q^{27} +(-0.683456 - 4.16889i) q^{28} +(2.05174 - 1.23449i) q^{29} +(-0.796137 + 0.479020i) q^{30} +(-0.933639 - 5.69495i) q^{31} +(-2.25964 + 1.04542i) q^{32} +(-4.79593 + 1.05567i) q^{33} +(1.39508 + 0.307079i) q^{34} +(-8.51943 - 3.94151i) q^{35} +(-0.522808 + 1.88298i) q^{36} +(0.237912 + 4.38804i) q^{37} +(0.264897 - 0.311861i) q^{38} +(-0.0640203 - 0.160679i) q^{39} +(-0.594388 + 3.62560i) q^{40} +(-0.159931 - 0.576019i) q^{41} +(0.438345 - 0.147696i) q^{42} +(2.72864 - 4.02444i) q^{43} +(-4.49515 + 8.47876i) q^{44} +(2.81115 + 3.30954i) q^{45} +(-0.457358 + 0.433232i) q^{46} +(10.0745 - 1.09567i) q^{47} +(2.09176 + 3.08512i) q^{48} +(-1.85234 - 1.40811i) q^{49} +(2.15238 + 2.03884i) q^{50} +(0.361429 - 6.66616i) q^{51} +(-0.320314 - 0.107926i) q^{52} +(-5.89657 + 4.48245i) q^{53} +(-0.212719 - 0.0231346i) q^{54} +(9.98832 + 18.8400i) q^{55} +(0.677003 - 1.69915i) q^{56} +(-1.63856 - 0.985890i) q^{57} +0.512357 q^{58} +(-3.76778 + 6.69357i) q^{59} +8.48580 q^{60} +(-7.62235 - 4.58622i) q^{61} +(0.457059 - 1.14713i) q^{62} +(-1.01259 - 1.90994i) q^{63} +(6.88146 + 0.748404i) q^{64} +(-0.597913 + 0.454521i) q^{65} +(-0.995763 - 0.335512i) q^{66} +(0.298948 - 5.51377i) q^{67} +(-9.47151 - 8.97189i) q^{68} +(2.34383 + 1.78174i) q^{69} +(-1.12718 - 1.66247i) q^{70} +(-1.94707 + 0.211757i) q^{71} +(-0.614261 + 0.581859i) q^{72} +(-8.10425 - 9.54106i) q^{73} +(-0.440445 + 0.830767i) q^{74} +(7.77559 - 11.4681i) q^{75} +(-3.54141 + 1.19324i) q^{76} +(-2.84004 - 10.2289i) q^{77} +(0.00598746 - 0.0365219i) q^{78} +(2.36954 + 5.94711i) q^{79} +(10.4782 - 12.3359i) q^{80} +(0.0541389 + 0.998533i) q^{81} +(0.0342209 - 0.123253i) q^{82} +(5.01169 + 2.31865i) q^{83} +(-4.12578 - 0.908153i) q^{84} +(-28.3113 + 6.23178i) q^{85} +(0.944235 - 0.436850i) q^{86} +(-0.387386 - 2.36295i) q^{87} +(-3.56021 + 2.14211i) q^{88} +(10.0893 - 6.07055i) q^{89} +(0.150317 + 0.916896i) q^{90} +(0.339347 - 0.156999i) q^{91} +(5.61903 - 1.23684i) q^{92} +(-5.63605 - 1.24059i) q^{93} +(1.96797 + 0.910480i) q^{94} +(-2.22149 + 8.00108i) q^{95} +(0.134792 + 2.48610i) q^{96} +(-5.74703 + 6.76592i) q^{97} +(-0.184281 - 0.462510i) q^{98} +(-0.794470 + 4.84605i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} + O(q^{10}) \) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} - 116q^{10} + 2q^{11} + q^{12} + 4q^{13} - 43q^{14} - 2q^{15} + 7q^{16} + q^{18} - 2q^{19} + 4q^{20} - 27q^{21} + 6q^{22} + 6q^{23} + 3q^{24} - 57q^{25} + 12q^{26} + 5q^{27} - 10q^{28} - 4q^{29} - 12q^{31} - 150q^{32} - 2q^{33} - 2q^{34} + 6q^{35} - q^{36} + 12q^{37} - 12q^{38} - 4q^{39} - 66q^{40} - 4q^{41} + 14q^{42} - 60q^{43} + 20q^{44} + 2q^{45} + 76q^{46} - 25q^{47} - 7q^{48} + 31q^{49} + 137q^{50} + 118q^{52} + 48q^{53} - q^{54} + 93q^{55} + 228q^{56} + 2q^{57} - 120q^{58} + 57q^{59} - 4q^{60} + 72q^{61} - 179q^{62} - 2q^{63} + 249q^{64} - 39q^{65} - 6q^{66} + 40q^{67} + 94q^{68} - 64q^{69} + 94q^{70} + 30q^{71} - 3q^{72} - 205q^{73} + 66q^{74} - q^{75} - 216q^{76} - 46q^{77} - 12q^{78} + 4q^{79} - 356q^{80} - 5q^{81} - 28q^{82} + 4q^{83} - 135q^{84} + 50q^{85} - 18q^{86} - 54q^{87} - 162q^{88} + 26q^{89} - 198q^{91} + 10q^{92} + 12q^{93} - 4q^{94} - 326q^{95} + 5q^{96} - 20q^{97} - 143q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{5}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.183344 + 0.110315i 0.129644 + 0.0780042i 0.578898 0.815400i \(-0.303483\pi\)
−0.449254 + 0.893404i \(0.648310\pi\)
\(3\) 0.370138 0.928977i 0.213699 0.536345i
\(4\) −0.915371 1.72657i −0.457686 0.863286i
\(5\) −4.31685 0.469486i −1.93055 0.209960i −0.939414 0.342784i \(-0.888630\pi\)
−0.991140 + 0.132824i \(0.957595\pi\)
\(6\) 0.170342 0.129491i 0.0695420 0.0528645i
\(7\) 2.04860 + 0.690253i 0.774298 + 0.260891i 0.678589 0.734518i \(-0.262592\pi\)
0.0957087 + 0.995409i \(0.469488\pi\)
\(8\) 0.0458067 0.844855i 0.0161951 0.298701i
\(9\) −0.725995 0.687699i −0.241998 0.229233i
\(10\) −0.739679 0.562289i −0.233907 0.177811i
\(11\) −2.75585 4.06457i −0.830919 1.22551i −0.971875 0.235498i \(-0.924328\pi\)
0.140956 0.990016i \(-0.454982\pi\)
\(12\) −1.94276 + 0.211288i −0.560826 + 0.0609936i
\(13\) 0.125570 0.118947i 0.0348270 0.0329899i −0.670088 0.742282i \(-0.733744\pi\)
0.704915 + 0.709292i \(0.250985\pi\)
\(14\) 0.299454 + 0.352544i 0.0800324 + 0.0942215i
\(15\) −2.03397 + 3.83648i −0.525169 + 0.990574i
\(16\) −2.09176 + 3.08512i −0.522941 + 0.771280i
\(17\) 6.32648 2.13164i 1.53440 0.516999i 0.579765 0.814784i \(-0.303144\pi\)
0.954633 + 0.297785i \(0.0962479\pi\)
\(18\) −0.0572438 0.206174i −0.0134925 0.0485956i
\(19\) 0.309375 1.88710i 0.0709754 0.432931i −0.927305 0.374307i \(-0.877881\pi\)
0.998280 0.0586235i \(-0.0186712\pi\)
\(20\) 3.14092 + 7.88311i 0.702331 + 1.76272i
\(21\) 1.39949 1.64761i 0.305395 0.359538i
\(22\) −0.0568874 1.04923i −0.0121284 0.223696i
\(23\) −0.787649 + 2.83686i −0.164236 + 0.591525i 0.834917 + 0.550376i \(0.185516\pi\)
−0.999153 + 0.0411492i \(0.986898\pi\)
\(24\) −0.767895 0.355266i −0.156746 0.0725184i
\(25\) 13.5317 + 2.97855i 2.70633 + 0.595709i
\(26\) 0.0361442 0.00795594i 0.00708846 0.00156029i
\(27\) −0.907575 + 0.419889i −0.174663 + 0.0808077i
\(28\) −0.683456 4.16889i −0.129161 0.787847i
\(29\) 2.05174 1.23449i 0.380998 0.229239i −0.312152 0.950032i \(-0.601050\pi\)
0.693150 + 0.720793i \(0.256222\pi\)
\(30\) −0.796137 + 0.479020i −0.145354 + 0.0874566i
\(31\) −0.933639 5.69495i −0.167687 1.02284i −0.927807 0.373061i \(-0.878308\pi\)
0.760120 0.649782i \(-0.225140\pi\)
\(32\) −2.25964 + 1.04542i −0.399451 + 0.184806i
\(33\) −4.79593 + 1.05567i −0.834865 + 0.183768i
\(34\) 1.39508 + 0.307079i 0.239254 + 0.0526637i
\(35\) −8.51943 3.94151i −1.44005 0.666236i
\(36\) −0.522808 + 1.88298i −0.0871347 + 0.313831i
\(37\) 0.237912 + 4.38804i 0.0391126 + 0.721389i 0.950668 + 0.310211i \(0.100400\pi\)
−0.911555 + 0.411178i \(0.865118\pi\)
\(38\) 0.264897 0.311861i 0.0429720 0.0505905i
\(39\) −0.0640203 0.160679i −0.0102514 0.0257292i
\(40\) −0.594388 + 3.62560i −0.0939809 + 0.573258i
\(41\) −0.159931 0.576019i −0.0249770 0.0899591i 0.950011 0.312216i \(-0.101071\pi\)
−0.974988 + 0.222257i \(0.928658\pi\)
\(42\) 0.438345 0.147696i 0.0676381 0.0227899i
\(43\) 2.72864 4.02444i 0.416114 0.613722i −0.560647 0.828055i \(-0.689448\pi\)
0.976761 + 0.214333i \(0.0687579\pi\)
\(44\) −4.49515 + 8.47876i −0.677670 + 1.27822i
\(45\) 2.81115 + 3.30954i 0.419061 + 0.493357i
\(46\) −0.457358 + 0.433232i −0.0674337 + 0.0638766i
\(47\) 10.0745 1.09567i 1.46952 0.159820i 0.661929 0.749567i \(-0.269738\pi\)
0.807588 + 0.589747i \(0.200773\pi\)
\(48\) 2.09176 + 3.08512i 0.301920 + 0.445299i
\(49\) −1.85234 1.40811i −0.264620 0.201159i
\(50\) 2.15238 + 2.03884i 0.304392 + 0.288336i
\(51\) 0.361429 6.66616i 0.0506101 0.933449i
\(52\) −0.320314 0.107926i −0.0444195 0.0149667i
\(53\) −5.89657 + 4.48245i −0.809956 + 0.615712i −0.925996 0.377532i \(-0.876773\pi\)
0.116041 + 0.993244i \(0.462980\pi\)
\(54\) −0.212719 0.0231346i −0.0289473 0.00314821i
\(55\) 9.98832 + 18.8400i 1.34682 + 2.54038i
\(56\) 0.677003 1.69915i 0.0904684 0.227059i
\(57\) −1.63856 0.985890i −0.217033 0.130584i
\(58\) 0.512357 0.0672758
\(59\) −3.76778 + 6.69357i −0.490523 + 0.871428i
\(60\) 8.48580 1.09551
\(61\) −7.62235 4.58622i −0.975942 0.587205i −0.0641866 0.997938i \(-0.520445\pi\)
−0.911756 + 0.410733i \(0.865273\pi\)
\(62\) 0.457059 1.14713i 0.0580465 0.145686i
\(63\) −1.01259 1.90994i −0.127574 0.240630i
\(64\) 6.88146 + 0.748404i 0.860183 + 0.0935505i
\(65\) −0.597913 + 0.454521i −0.0741619 + 0.0563764i
\(66\) −0.995763 0.335512i −0.122570 0.0412986i
\(67\) 0.298948 5.51377i 0.0365223 0.673615i −0.921755 0.387773i \(-0.873244\pi\)
0.958277 0.285841i \(-0.0922729\pi\)
\(68\) −9.47151 8.97189i −1.14859 1.08800i
\(69\) 2.34383 + 1.78174i 0.282164 + 0.214496i
\(70\) −1.12718 1.66247i −0.134724 0.198703i
\(71\) −1.94707 + 0.211757i −0.231075 + 0.0251309i −0.222924 0.974836i \(-0.571560\pi\)
−0.00815113 + 0.999967i \(0.502595\pi\)
\(72\) −0.614261 + 0.581859i −0.0723914 + 0.0685728i
\(73\) −8.10425 9.54106i −0.948530 1.11670i −0.993051 0.117688i \(-0.962452\pi\)
0.0445203 0.999008i \(-0.485824\pi\)
\(74\) −0.440445 + 0.830767i −0.0512007 + 0.0965747i
\(75\) 7.77559 11.4681i 0.897847 1.32423i
\(76\) −3.54141 + 1.19324i −0.406228 + 0.136874i
\(77\) −2.84004 10.2289i −0.323653 1.16569i
\(78\) 0.00598746 0.0365219i 0.000677947 0.00413529i
\(79\) 2.36954 + 5.94711i 0.266594 + 0.669102i 0.999942 0.0107521i \(-0.00342256\pi\)
−0.733348 + 0.679854i \(0.762043\pi\)
\(80\) 10.4782 12.3359i 1.17150 1.37920i
\(81\) 0.0541389 + 0.998533i 0.00601543 + 0.110948i
\(82\) 0.0342209 0.123253i 0.00377907 0.0136110i
\(83\) 5.01169 + 2.31865i 0.550104 + 0.254505i 0.675194 0.737640i \(-0.264060\pi\)
−0.125090 + 0.992145i \(0.539922\pi\)
\(84\) −4.12578 0.908153i −0.450159 0.0990876i
\(85\) −28.3113 + 6.23178i −3.07079 + 0.675931i
\(86\) 0.944235 0.436850i 0.101819 0.0471067i
\(87\) −0.387386 2.36295i −0.0415321 0.253335i
\(88\) −3.56021 + 2.14211i −0.379519 + 0.228349i
\(89\) 10.0893 6.07055i 1.06947 0.643477i 0.131893 0.991264i \(-0.457894\pi\)
0.937574 + 0.347787i \(0.113067\pi\)
\(90\) 0.150317 + 0.916896i 0.0158449 + 0.0966493i
\(91\) 0.339347 0.156999i 0.0355732 0.0164579i
\(92\) 5.61903 1.23684i 0.585824 0.128950i
\(93\) −5.63605 1.24059i −0.584431 0.128643i
\(94\) 1.96797 + 0.910480i 0.202981 + 0.0939088i
\(95\) −2.22149 + 8.00108i −0.227920 + 0.820894i
\(96\) 0.134792 + 2.48610i 0.0137572 + 0.253737i
\(97\) −5.74703 + 6.76592i −0.583522 + 0.686975i −0.972134 0.234426i \(-0.924679\pi\)
0.388612 + 0.921402i \(0.372955\pi\)
\(98\) −0.184281 0.462510i −0.0186152 0.0467206i
\(99\) −0.794470 + 4.84605i −0.0798473 + 0.487047i
\(100\) −7.24382 26.0899i −0.724382 2.60899i
\(101\) 5.10332 1.71951i 0.507799 0.171098i −0.0537282 0.998556i \(-0.517110\pi\)
0.561527 + 0.827458i \(0.310214\pi\)
\(102\) 0.801641 1.18233i 0.0793742 0.117068i
\(103\) 5.62381 10.6076i 0.554130 1.04520i −0.435313 0.900279i \(-0.643362\pi\)
0.989443 0.144922i \(-0.0462930\pi\)
\(104\) −0.0947407 0.111537i −0.00929009 0.0109371i
\(105\) −6.81494 + 6.45545i −0.665070 + 0.629987i
\(106\) −1.57558 + 0.171355i −0.153034 + 0.0166435i
\(107\) 4.31590 + 6.36547i 0.417233 + 0.615373i 0.976990 0.213284i \(-0.0684159\pi\)
−0.559757 + 0.828657i \(0.689106\pi\)
\(108\) 1.55574 + 1.18264i 0.149701 + 0.113800i
\(109\) 12.5369 + 11.8756i 1.20082 + 1.13748i 0.987020 + 0.160598i \(0.0513423\pi\)
0.213799 + 0.976878i \(0.431416\pi\)
\(110\) −0.247022 + 4.55606i −0.0235527 + 0.434403i
\(111\) 4.16444 + 1.40316i 0.395272 + 0.133183i
\(112\) −6.41470 + 4.87633i −0.606132 + 0.460770i
\(113\) 4.06317 + 0.441897i 0.382231 + 0.0415702i 0.297218 0.954810i \(-0.403941\pi\)
0.0850133 + 0.996380i \(0.472907\pi\)
\(114\) −0.191663 0.361515i −0.0179509 0.0338589i
\(115\) 4.73203 11.8765i 0.441264 1.10749i
\(116\) −4.00954 2.41246i −0.372277 0.223991i
\(117\) −0.172963 −0.0159905
\(118\) −1.42920 + 0.811586i −0.131568 + 0.0747126i
\(119\) 14.4318 1.32296
\(120\) 3.14810 + 1.89415i 0.287381 + 0.172911i
\(121\) −4.85452 + 12.1839i −0.441320 + 1.10763i
\(122\) −0.891588 1.68171i −0.0807206 0.152255i
\(123\) −0.594305 0.0646345i −0.0535867 0.00582790i
\(124\) −8.97812 + 6.82499i −0.806259 + 0.612902i
\(125\) −36.4408 12.2783i −3.25936 1.09821i
\(126\) 0.0250424 0.461880i 0.00223096 0.0411475i
\(127\) −0.953055 0.902781i −0.0845699 0.0801089i 0.644247 0.764817i \(-0.277171\pi\)
−0.728817 + 0.684709i \(0.759929\pi\)
\(128\) 5.14327 + 3.90981i 0.454605 + 0.345582i
\(129\) −2.72864 4.02444i −0.240243 0.354332i
\(130\) −0.159764 + 0.0173754i −0.0140122 + 0.00152392i
\(131\) 10.6898 10.1259i 0.933972 0.884705i −0.0595637 0.998225i \(-0.518971\pi\)
0.993536 + 0.113519i \(0.0362123\pi\)
\(132\) 6.21274 + 7.31421i 0.540750 + 0.636620i
\(133\) 1.93636 3.65237i 0.167904 0.316700i
\(134\) 0.663060 0.977941i 0.0572797 0.0844812i
\(135\) 4.11500 1.38650i 0.354163 0.119331i
\(136\) −1.51113 5.44260i −0.129578 0.466699i
\(137\) 0.0643491 0.392512i 0.00549772 0.0335346i −0.983935 0.178526i \(-0.942867\pi\)
0.989433 + 0.144991i \(0.0463154\pi\)
\(138\) 0.233177 + 0.585230i 0.0198494 + 0.0498181i
\(139\) 4.85039 5.71032i 0.411405 0.484343i −0.516962 0.856008i \(-0.672937\pi\)
0.928367 + 0.371665i \(0.121213\pi\)
\(140\) 0.993138 + 18.3174i 0.0839355 + 1.54810i
\(141\) 2.71111 9.76452i 0.228316 0.822321i
\(142\) −0.380345 0.175966i −0.0319178 0.0147668i
\(143\) −0.829520 0.182591i −0.0693680 0.0152690i
\(144\) 3.64025 0.801279i 0.303354 0.0667732i
\(145\) −9.43662 + 4.36585i −0.783669 + 0.362564i
\(146\) −0.433350 2.64332i −0.0358643 0.218762i
\(147\) −1.99373 + 1.19959i −0.164440 + 0.0989402i
\(148\) 7.35849 4.42746i 0.604864 0.363935i
\(149\) 0.563532 + 3.43739i 0.0461664 + 0.281602i 0.999813 0.0193256i \(-0.00615191\pi\)
−0.953647 + 0.300928i \(0.902704\pi\)
\(150\) 2.69071 1.24486i 0.219696 0.101642i
\(151\) −7.17134 + 1.57853i −0.583595 + 0.128459i −0.496949 0.867780i \(-0.665546\pi\)
−0.0866469 + 0.996239i \(0.527615\pi\)
\(152\) −1.58015 0.347818i −0.128167 0.0282118i
\(153\) −6.05893 2.80316i −0.489835 0.226622i
\(154\) 0.607692 2.18871i 0.0489693 0.176371i
\(155\) 1.35668 + 25.0226i 0.108971 + 2.00986i
\(156\) −0.218821 + 0.257616i −0.0175197 + 0.0206258i
\(157\) 3.05619 + 7.67047i 0.243911 + 0.612170i 0.999058 0.0433847i \(-0.0138141\pi\)
−0.755148 + 0.655555i \(0.772435\pi\)
\(158\) −0.221610 + 1.35176i −0.0176304 + 0.107541i
\(159\) 1.98155 + 7.13690i 0.157147 + 0.565993i
\(160\) 10.2453 3.45205i 0.809964 0.272909i
\(161\) −3.57173 + 5.26790i −0.281492 + 0.415169i
\(162\) −0.100227 + 0.189048i −0.00787456 + 0.0148530i
\(163\) 1.51819 + 1.78735i 0.118913 + 0.139996i 0.818398 0.574652i \(-0.194863\pi\)
−0.699484 + 0.714648i \(0.746587\pi\)
\(164\) −0.848143 + 0.803403i −0.0662288 + 0.0627353i
\(165\) 21.1989 2.30552i 1.65034 0.179485i
\(166\) 0.663083 + 0.977975i 0.0514652 + 0.0759056i
\(167\) −0.119755 0.0910356i −0.00926694 0.00704455i 0.600530 0.799602i \(-0.294956\pi\)
−0.609797 + 0.792557i \(0.708749\pi\)
\(168\) −1.32789 1.25784i −0.102449 0.0970445i
\(169\) −0.702186 + 12.9511i −0.0540143 + 0.996236i
\(170\) −5.87816 1.98058i −0.450835 0.151904i
\(171\) −1.52236 + 1.15727i −0.116418 + 0.0884987i
\(172\) −9.44621 1.02734i −0.720267 0.0783337i
\(173\) 3.04129 + 5.73649i 0.231225 + 0.436137i 0.971790 0.235848i \(-0.0757867\pi\)
−0.740565 + 0.671985i \(0.765442\pi\)
\(174\) 0.189643 0.475968i 0.0143768 0.0360830i
\(175\) 25.6650 + 15.4421i 1.94009 + 1.16732i
\(176\) 18.3043 1.37974
\(177\) 4.82357 + 5.97772i 0.362562 + 0.449313i
\(178\) 2.51949 0.188844
\(179\) −1.96229 1.18067i −0.146669 0.0882477i 0.440328 0.897837i \(-0.354862\pi\)
−0.586997 + 0.809589i \(0.699690\pi\)
\(180\) 3.14092 7.88311i 0.234110 0.587572i
\(181\) 4.19589 + 7.91428i 0.311878 + 0.588264i 0.989053 0.147558i \(-0.0471412\pi\)
−0.677176 + 0.735821i \(0.736796\pi\)
\(182\) 0.0795366 + 0.00865012i 0.00589564 + 0.000641190i
\(183\) −7.08181 + 5.38345i −0.523503 + 0.397956i
\(184\) 2.36065 + 0.795396i 0.174029 + 0.0586374i
\(185\) 1.03309 19.0542i 0.0759542 1.40089i
\(186\) −0.896483 0.849194i −0.0657333 0.0622659i
\(187\) −26.0990 19.8400i −1.90855 1.45084i
\(188\) −11.1137 16.3914i −0.810547 1.19547i
\(189\) −2.14909 + 0.233727i −0.156323 + 0.0170012i
\(190\) −1.28993 + 1.22189i −0.0935817 + 0.0886453i
\(191\) 7.74277 + 9.11549i 0.560247 + 0.659574i 0.967242 0.253857i \(-0.0816992\pi\)
−0.406995 + 0.913430i \(0.633423\pi\)
\(192\) 3.24234 6.11571i 0.233996 0.441363i
\(193\) −12.8138 + 18.8989i −0.922355 + 1.36037i 0.0104322 + 0.999946i \(0.496679\pi\)
−0.932788 + 0.360427i \(0.882631\pi\)
\(194\) −1.80006 + 0.606512i −0.129237 + 0.0435450i
\(195\) 0.200929 + 0.723683i 0.0143889 + 0.0518240i
\(196\) −0.735631 + 4.48715i −0.0525451 + 0.320511i
\(197\) −1.27584 3.20213i −0.0909001 0.228142i 0.876497 0.481408i \(-0.159874\pi\)
−0.967397 + 0.253266i \(0.918495\pi\)
\(198\) −0.680252 + 0.800855i −0.0483434 + 0.0569143i
\(199\) 0.651229 + 12.0112i 0.0461644 + 0.851452i 0.926313 + 0.376754i \(0.122960\pi\)
−0.880149 + 0.474698i \(0.842557\pi\)
\(200\) 3.13628 11.2959i 0.221768 0.798738i
\(201\) −5.01151 2.31857i −0.353485 0.163540i
\(202\) 1.12535 + 0.247709i 0.0791795 + 0.0174287i
\(203\) 5.05530 1.11276i 0.354813 0.0781002i
\(204\) −11.8404 + 5.47798i −0.828997 + 0.383535i
\(205\) 0.419965 + 2.56167i 0.0293316 + 0.178915i
\(206\) 2.20127 1.32446i 0.153370 0.0922795i
\(207\) 2.52273 1.51788i 0.175342 0.105500i
\(208\) 0.104301 + 0.636208i 0.00723198 + 0.0441131i
\(209\) −8.52284 + 3.94309i −0.589537 + 0.272749i
\(210\) −1.96161 + 0.431783i −0.135364 + 0.0297959i
\(211\) 24.9028 + 5.48153i 1.71438 + 0.377364i 0.960203 0.279304i \(-0.0901038\pi\)
0.754180 + 0.656668i \(0.228035\pi\)
\(212\) 13.1368 + 6.07774i 0.902241 + 0.417421i
\(213\) −0.523969 + 1.88716i −0.0359017 + 0.129306i
\(214\) 0.0890906 + 1.64318i 0.00609011 + 0.112325i
\(215\) −13.6685 + 16.0919i −0.932187 + 1.09746i
\(216\) 0.313172 + 0.786003i 0.0213087 + 0.0534807i
\(217\) 2.01831 12.3111i 0.137011 0.835733i
\(218\) 0.988520 + 3.56033i 0.0669510 + 0.241136i
\(219\) −11.8631 + 3.99715i −0.801635 + 0.270102i
\(220\) 23.3856 34.4911i 1.57665 2.32539i
\(221\) 0.540868 1.02019i 0.0363827 0.0686251i
\(222\) 0.608738 + 0.716661i 0.0408558 + 0.0480992i
\(223\) 18.7797 17.7891i 1.25758 1.19124i 0.285038 0.958516i \(-0.407994\pi\)
0.972542 0.232727i \(-0.0747648\pi\)
\(224\) −5.35070 + 0.581923i −0.357508 + 0.0388814i
\(225\) −7.77559 11.4681i −0.518372 0.764542i
\(226\) 0.696212 + 0.529247i 0.0463113 + 0.0352050i
\(227\) −9.88797 9.36639i −0.656288 0.621669i 0.285299 0.958438i \(-0.407907\pi\)
−0.941587 + 0.336770i \(0.890666\pi\)
\(228\) −0.202319 + 3.73155i −0.0133989 + 0.247128i
\(229\) 8.44584 + 2.84573i 0.558117 + 0.188051i 0.584202 0.811608i \(-0.301408\pi\)
−0.0260852 + 0.999660i \(0.508304\pi\)
\(230\) 2.17774 1.65548i 0.143596 0.109159i
\(231\) −10.5536 1.14778i −0.694378 0.0755181i
\(232\) −0.948982 1.78997i −0.0623037 0.117517i
\(233\) 10.6832 26.8127i 0.699878 1.75656i 0.0472485 0.998883i \(-0.484955\pi\)
0.652629 0.757677i \(-0.273666\pi\)
\(234\) −0.0317118 0.0190804i −0.00207307 0.00124732i
\(235\) −44.0045 −2.87054
\(236\) 15.0058 + 0.378252i 0.976797 + 0.0246221i
\(237\) 6.40178 0.415840
\(238\) 2.64599 + 1.59204i 0.171514 + 0.103197i
\(239\) −4.47062 + 11.2204i −0.289180 + 0.725788i 0.710574 + 0.703622i \(0.248435\pi\)
−0.999754 + 0.0221654i \(0.992944\pi\)
\(240\) −7.58141 14.3000i −0.489378 0.923064i
\(241\) −21.4981 2.33806i −1.38481 0.150607i −0.614823 0.788665i \(-0.710773\pi\)
−0.769989 + 0.638057i \(0.779738\pi\)
\(242\) −2.23411 + 1.69833i −0.143614 + 0.109173i
\(243\) 0.947653 + 0.319302i 0.0607920 + 0.0204832i
\(244\) −0.941158 + 17.3586i −0.0602515 + 1.11127i
\(245\) 7.33519 + 6.94826i 0.468628 + 0.443908i
\(246\) −0.101832 0.0774109i −0.00649259 0.00493554i
\(247\) −0.185616 0.273763i −0.0118105 0.0174191i
\(248\) −4.85417 + 0.527923i −0.308240 + 0.0335231i
\(249\) 4.00899 3.79752i 0.254060 0.240658i
\(250\) −5.32673 6.27112i −0.336892 0.396620i
\(251\) −6.03718 + 11.3873i −0.381063 + 0.718762i −0.997649 0.0685258i \(-0.978170\pi\)
0.616586 + 0.787288i \(0.288515\pi\)
\(252\) −2.37076 + 3.49661i −0.149344 + 0.220266i
\(253\) 13.7012 4.61648i 0.861390 0.290236i
\(254\) −0.0751472 0.270656i −0.00471515 0.0169825i
\(255\) −4.68990 + 28.6071i −0.293693 + 1.79145i
\(256\) −4.61254 11.5766i −0.288284 0.723538i
\(257\) −10.3874 + 12.2290i −0.647947 + 0.762822i −0.983835 0.179080i \(-0.942688\pi\)
0.335887 + 0.941902i \(0.390964\pi\)
\(258\) −0.0563257 1.03887i −0.00350669 0.0646770i
\(259\) −2.54147 + 9.15355i −0.157919 + 0.568774i
\(260\) 1.33208 + 0.616284i 0.0826119 + 0.0382203i
\(261\) −2.33851 0.514745i −0.144750 0.0318619i
\(262\) 3.07695 0.677288i 0.190095 0.0418430i
\(263\) 3.46443 1.60281i 0.213626 0.0988338i −0.310158 0.950685i \(-0.600382\pi\)
0.523784 + 0.851851i \(0.324520\pi\)
\(264\) 0.672198 + 4.10022i 0.0413709 + 0.252351i
\(265\) 27.5590 16.5817i 1.69294 1.01861i
\(266\) 0.757931 0.456032i 0.0464717 0.0279611i
\(267\) −1.90495 11.6197i −0.116581 0.711114i
\(268\) −9.79358 + 4.53099i −0.598238 + 0.276774i
\(269\) −10.2805 + 2.26292i −0.626816 + 0.137973i −0.517008 0.855980i \(-0.672954\pi\)
−0.109807 + 0.993953i \(0.535023\pi\)
\(270\) 0.907413 + 0.199737i 0.0552234 + 0.0121556i
\(271\) 7.25562 + 3.35681i 0.440748 + 0.203912i 0.627697 0.778458i \(-0.283998\pi\)
−0.186949 + 0.982370i \(0.559860\pi\)
\(272\) −6.65714 + 23.9768i −0.403648 + 1.45381i
\(273\) −0.0202428 0.373357i −0.00122515 0.0225966i
\(274\) 0.0550979 0.0648663i 0.00332859 0.00391871i
\(275\) −25.1847 63.2088i −1.51869 3.81164i
\(276\) 0.930820 5.67775i 0.0560288 0.341760i
\(277\) −2.33974 8.42700i −0.140582 0.506329i 0.859406 0.511294i \(-0.170834\pi\)
−0.999988 + 0.00496439i \(0.998420\pi\)
\(278\) 1.51922 0.511886i 0.0911170 0.0307009i
\(279\) −3.23860 + 4.77657i −0.193890 + 0.285966i
\(280\) −3.72025 + 7.01713i −0.222327 + 0.419354i
\(281\) −16.3609 19.2616i −0.976012 1.14905i −0.988817 0.149132i \(-0.952352\pi\)
0.0128057 0.999918i \(-0.495924\pi\)
\(282\) 1.57424 1.49120i 0.0937444 0.0887994i
\(283\) 5.16773 0.562024i 0.307190 0.0334089i 0.0467740 0.998905i \(-0.485106\pi\)
0.260416 + 0.965497i \(0.416140\pi\)
\(284\) 2.14791 + 3.16793i 0.127455 + 0.187982i
\(285\) 6.61056 + 5.02522i 0.391576 + 0.297668i
\(286\) −0.131945 0.124985i −0.00780209 0.00739053i
\(287\) 0.0699648 1.29042i 0.00412989 0.0761714i
\(288\) 2.35942 + 0.794982i 0.139030 + 0.0468447i
\(289\) 21.9469 16.6836i 1.29100 0.981389i
\(290\) −2.21177 0.240544i −0.129880 0.0141252i
\(291\) 4.15819 + 7.84318i 0.243757 + 0.459775i
\(292\) −9.05494 + 22.7262i −0.529900 + 1.32995i
\(293\) −14.3983 8.66314i −0.841155 0.506106i 0.0285993 0.999591i \(-0.490895\pi\)
−0.869755 + 0.493485i \(0.835723\pi\)
\(294\) −0.497871 −0.0290364
\(295\) 19.4075 27.1262i 1.12995 1.57935i
\(296\) 3.71815 0.216113
\(297\) 4.20781 + 2.53175i 0.244162 + 0.146907i
\(298\) −0.275874 + 0.692393i −0.0159810 + 0.0401092i
\(299\) 0.238529 + 0.449914i 0.0137945 + 0.0260192i
\(300\) −26.9181 2.92752i −1.55412 0.169021i
\(301\) 8.36777 6.36102i 0.482310 0.366643i
\(302\) −1.48896 0.501689i −0.0856800 0.0288690i
\(303\) 0.291550 5.37732i 0.0167491 0.308919i
\(304\) 5.17479 + 4.90183i 0.296795 + 0.281139i
\(305\) 30.7514 + 23.3766i 1.76082 + 1.33854i
\(306\) −0.801641 1.18233i −0.0458267 0.0675894i
\(307\) 7.52887 0.818814i 0.429695 0.0467322i 0.109284 0.994011i \(-0.465144\pi\)
0.320412 + 0.947278i \(0.396179\pi\)
\(308\) −15.0613 + 14.2668i −0.858195 + 0.812926i
\(309\) −7.77265 9.15068i −0.442171 0.520564i
\(310\) −2.51161 + 4.73741i −0.142650 + 0.269067i
\(311\) −0.140169 + 0.206734i −0.00794825 + 0.0117228i −0.831642 0.555312i \(-0.812599\pi\)
0.823694 + 0.567034i \(0.191909\pi\)
\(312\) −0.138683 + 0.0467277i −0.00785136 + 0.00264543i
\(313\) −5.74972 20.7086i −0.324993 1.17052i −0.927937 0.372737i \(-0.878419\pi\)
0.602944 0.797784i \(-0.293994\pi\)
\(314\) −0.285829 + 1.74348i −0.0161303 + 0.0983903i
\(315\) 3.47450 + 8.72032i 0.195766 + 0.491335i
\(316\) 8.09910 9.53500i 0.455610 0.536386i
\(317\) 0.0513438 + 0.946982i 0.00288376 + 0.0531878i 0.999621 0.0275258i \(-0.00876284\pi\)
−0.996737 + 0.0807136i \(0.974280\pi\)
\(318\) −0.423998 + 1.52710i −0.0237766 + 0.0856357i
\(319\) −10.6720 4.93737i −0.597515 0.276440i
\(320\) −29.3549 6.46150i −1.64099 0.361209i
\(321\) 7.51085 1.65326i 0.419215 0.0922761i
\(322\) −1.23598 + 0.571826i −0.0688786 + 0.0318666i
\(323\) −2.06537 12.5982i −0.114920 0.700982i
\(324\) 1.67448 1.00750i 0.0930269 0.0559724i
\(325\) 2.05347 1.23553i 0.113906 0.0685349i
\(326\) 0.0811803 + 0.495178i 0.00449616 + 0.0274254i
\(327\) 15.6725 7.25089i 0.866694 0.400975i
\(328\) −0.493978 + 0.108733i −0.0272754 + 0.00600377i
\(329\) 21.3949 + 4.70937i 1.17954 + 0.259636i
\(330\) 4.14104 + 1.91585i 0.227957 + 0.105464i
\(331\) 2.62914 9.46929i 0.144510 0.520479i −0.855486 0.517826i \(-0.826742\pi\)
0.999996 0.00265348i \(-0.000844628\pi\)
\(332\) −0.584229 10.7755i −0.0320638 0.591381i
\(333\) 2.84493 3.34931i 0.155901 0.183541i
\(334\) −0.0119139 0.0299016i −0.000651899 0.00163614i
\(335\) −3.87915 + 23.6618i −0.211941 + 1.29278i
\(336\) 2.15567 + 7.76402i 0.117601 + 0.423562i
\(337\) −30.6490 + 10.3268i −1.66956 + 0.562539i −0.985910 0.167274i \(-0.946504\pi\)
−0.683647 + 0.729813i \(0.739607\pi\)
\(338\) −1.55743 + 2.29704i −0.0847132 + 0.124943i
\(339\) 1.91445 3.61103i 0.103979 0.196124i
\(340\) 36.6749 + 43.1771i 1.98898 + 2.34160i
\(341\) −20.5746 + 19.4892i −1.11417 + 1.05540i
\(342\) −0.406780 + 0.0442400i −0.0219962 + 0.00239223i
\(343\) −11.3148 16.6881i −0.610943 0.901073i
\(344\) −3.27508 2.48965i −0.176580 0.134233i
\(345\) −9.28148 8.79188i −0.499698 0.473339i
\(346\) −0.0752146 + 1.38725i −0.00404356 + 0.0745791i
\(347\) 31.3823 + 10.5739i 1.68469 + 0.567638i 0.988633 0.150347i \(-0.0480392\pi\)
0.696058 + 0.717986i \(0.254936\pi\)
\(348\) −3.72520 + 2.83183i −0.199692 + 0.151802i
\(349\) 6.14607 + 0.668426i 0.328992 + 0.0357800i 0.271125 0.962544i \(-0.412604\pi\)
0.0578673 + 0.998324i \(0.481570\pi\)
\(350\) 3.00204 + 5.66245i 0.160466 + 0.302671i
\(351\) −0.0640203 + 0.160679i −0.00341715 + 0.00857640i
\(352\) 10.4764 + 6.30344i 0.558394 + 0.335974i
\(353\) 4.01294 0.213587 0.106794 0.994281i \(-0.465942\pi\)
0.106794 + 0.994281i \(0.465942\pi\)
\(354\) 0.224943 + 1.62809i 0.0119556 + 0.0865321i
\(355\) 8.50464 0.451379
\(356\) −19.7167 11.8632i −1.04498 0.628746i
\(357\) 5.34176 13.4068i 0.282716 0.709564i
\(358\) −0.229530 0.432940i −0.0121310 0.0228816i
\(359\) 8.18442 + 0.890110i 0.431957 + 0.0469782i 0.321515 0.946904i \(-0.395808\pi\)
0.110442 + 0.993883i \(0.464773\pi\)
\(360\) 2.92485 2.22341i 0.154153 0.117184i
\(361\) 14.5400 + 4.89909i 0.765262 + 0.257847i
\(362\) −0.103769 + 1.91391i −0.00545397 + 0.100593i
\(363\) 9.52174 + 9.01947i 0.499762 + 0.473399i
\(364\) −0.581698 0.442195i −0.0304893 0.0231773i
\(365\) 30.5054 + 44.9921i 1.59673 + 2.35500i
\(366\) −1.89228 + 0.205798i −0.0989113 + 0.0107572i
\(367\) −15.8598 + 15.0232i −0.827877 + 0.784207i −0.978904 0.204323i \(-0.934501\pi\)
0.151027 + 0.988530i \(0.451742\pi\)
\(368\) −7.10446 8.36402i −0.370346 0.436005i
\(369\) −0.280019 + 0.528172i −0.0145772 + 0.0274955i
\(370\) 2.29137 3.37951i 0.119122 0.175693i
\(371\) −15.1737 + 5.11263i −0.787781 + 0.265434i
\(372\) 3.01711 + 10.8667i 0.156430 + 0.563410i
\(373\) −0.0301052 + 0.183634i −0.00155879 + 0.00950820i −0.987594 0.157026i \(-0.949809\pi\)
0.986036 + 0.166534i \(0.0532576\pi\)
\(374\) −2.59647 6.51665i −0.134260 0.336968i
\(375\) −24.8944 + 29.3080i −1.28554 + 1.51346i
\(376\) −0.464201 8.56167i −0.0239393 0.441535i
\(377\) 0.110799 0.399063i 0.00570646 0.0205528i
\(378\) −0.419807 0.194223i −0.0215925 0.00998977i
\(379\) 5.01935 + 1.10484i 0.257827 + 0.0567520i 0.342003 0.939699i \(-0.388895\pi\)
−0.0841760 + 0.996451i \(0.526826\pi\)
\(380\) 15.8479 3.48840i 0.812982 0.178951i
\(381\) −1.19142 + 0.551212i −0.0610385 + 0.0282394i
\(382\) 0.414020 + 2.52541i 0.0211831 + 0.129211i
\(383\) 16.8830 10.1582i 0.862681 0.519058i −0.0141258 0.999900i \(-0.504497\pi\)
0.876807 + 0.480842i \(0.159669\pi\)
\(384\) 5.53584 3.33080i 0.282500 0.169974i
\(385\) 7.45771 + 45.4900i 0.380080 + 2.31839i
\(386\) −4.43416 + 2.05146i −0.225693 + 0.104417i
\(387\) −4.74859 + 1.04524i −0.241384 + 0.0531327i
\(388\) 16.9425 + 3.72933i 0.860126 + 0.189328i
\(389\) 14.0077 + 6.48065i 0.710219 + 0.328582i 0.741523 0.670928i \(-0.234104\pi\)
−0.0313040 + 0.999510i \(0.509966\pi\)
\(390\) −0.0429935 + 0.154849i −0.00217706 + 0.00784106i
\(391\) 1.06411 + 19.6263i 0.0538142 + 0.992545i
\(392\) −1.27450 + 1.50046i −0.0643720 + 0.0757846i
\(393\) −5.45004 13.6786i −0.274918 0.689992i
\(394\) 0.119323 0.727836i 0.00601139 0.0366678i
\(395\) −7.43688 26.7852i −0.374190 1.34771i
\(396\) 9.09430 3.06423i 0.457006 0.153983i
\(397\) 1.99384 2.94069i 0.100068 0.147589i −0.774359 0.632747i \(-0.781927\pi\)
0.874427 + 0.485158i \(0.161238\pi\)
\(398\) −1.20561 + 2.27403i −0.0604319 + 0.113987i
\(399\) −2.67624 3.15072i −0.133980 0.157733i
\(400\) −37.4942 + 35.5164i −1.87471 + 1.77582i
\(401\) −21.3830 + 2.32554i −1.06782 + 0.116132i −0.625112 0.780535i \(-0.714947\pi\)
−0.442705 + 0.896667i \(0.645981\pi\)
\(402\) −0.663060 0.977941i −0.0330704 0.0487752i
\(403\) −0.794633 0.604064i −0.0395835 0.0300906i
\(404\) −7.64029 7.23727i −0.380119 0.360067i
\(405\) 0.235088 4.33594i 0.0116816 0.215454i
\(406\) 1.04961 + 0.353656i 0.0520915 + 0.0175517i
\(407\) 17.1798 13.0598i 0.851573 0.647349i
\(408\) −5.61538 0.610709i −0.278003 0.0302346i
\(409\) −14.4506 27.2568i −0.714537 1.34776i −0.928652 0.370951i \(-0.879032\pi\)
0.214115 0.976808i \(-0.431313\pi\)
\(410\) −0.205592 + 0.515996i −0.0101535 + 0.0254832i
\(411\) −0.340817 0.205063i −0.0168113 0.0101150i
\(412\) −23.4627 −1.15593
\(413\) −12.3389 + 11.1117i −0.607159 + 0.546772i
\(414\) 0.629973 0.0309615
\(415\) −20.5461 12.3622i −1.00857 0.606836i
\(416\) −0.159395 + 0.400050i −0.00781496 + 0.0196141i
\(417\) −3.50944 6.61951i −0.171858 0.324159i
\(418\) −1.99760 0.217252i −0.0977056 0.0106261i
\(419\) 11.4216 8.68246i 0.557981 0.424166i −0.287805 0.957689i \(-0.592925\pi\)
0.845786 + 0.533523i \(0.179132\pi\)
\(420\) 17.3840 + 5.85735i 0.848252 + 0.285809i
\(421\) −1.79595 + 33.1243i −0.0875291 + 1.61438i 0.544040 + 0.839059i \(0.316894\pi\)
−0.631569 + 0.775320i \(0.717589\pi\)
\(422\) 3.96110 + 3.75215i 0.192823 + 0.182652i
\(423\) −8.06753 6.13278i −0.392257 0.298186i
\(424\) 3.51692 + 5.18707i 0.170797 + 0.251906i
\(425\) 91.9571 10.0009i 4.46057 0.485117i
\(426\) −0.304248 + 0.288199i −0.0147409 + 0.0139633i
\(427\) −12.4495 14.6567i −0.602473 0.709286i
\(428\) 7.03980 13.2785i 0.340282 0.641839i
\(429\) −0.476660 + 0.703021i −0.0230134 + 0.0339422i
\(430\) −4.28122 + 1.44251i −0.206459 + 0.0695640i
\(431\) −7.58425 27.3160i −0.365321 1.31577i −0.886662 0.462418i \(-0.846982\pi\)
0.521341 0.853348i \(-0.325432\pi\)
\(432\) 0.603025 3.67829i 0.0290130 0.176972i
\(433\) −6.53742 16.4077i −0.314168 0.788503i −0.998252 0.0590997i \(-0.981177\pi\)
0.684084 0.729404i \(-0.260202\pi\)
\(434\) 1.72814 2.03452i 0.0829534 0.0976603i
\(435\) 0.562916 + 10.3824i 0.0269897 + 0.497797i
\(436\) 9.02816 32.5165i 0.432370 1.55726i
\(437\) 5.10976 + 2.36402i 0.244433 + 0.113087i
\(438\) −2.61598 0.575820i −0.124996 0.0275138i
\(439\) 10.6666 2.34789i 0.509088 0.112059i 0.0470034 0.998895i \(-0.485033\pi\)
0.462084 + 0.886836i \(0.347102\pi\)
\(440\) 16.3746 7.57568i 0.780627 0.361156i
\(441\) 0.376433 + 2.29614i 0.0179254 + 0.109340i
\(442\) 0.211706 0.127380i 0.0100698 0.00605883i
\(443\) −0.465259 + 0.279937i −0.0221051 + 0.0133002i −0.526564 0.850136i \(-0.676520\pi\)
0.504458 + 0.863436i \(0.331692\pi\)
\(444\) −1.38935 8.47463i −0.0659354 0.402188i
\(445\) −46.4042 + 21.4688i −2.19977 + 1.01772i
\(446\) 5.40554 1.18985i 0.255960 0.0563410i
\(447\) 3.40184 + 0.748803i 0.160902 + 0.0354171i
\(448\) 13.5808 + 6.28313i 0.641631 + 0.296850i
\(449\) −8.25211 + 29.7214i −0.389441 + 1.40264i 0.466020 + 0.884774i \(0.345687\pi\)
−0.855462 + 0.517866i \(0.826726\pi\)
\(450\) −0.160507 2.96038i −0.00756637 0.139554i
\(451\) −1.90052 + 2.23747i −0.0894922 + 0.105358i
\(452\) −2.95634 7.41987i −0.139055 0.349001i
\(453\) −1.18797 + 7.24628i −0.0558156 + 0.340460i
\(454\) −0.779654 2.80806i −0.0365910 0.131789i
\(455\) −1.53862 + 0.518421i −0.0721315 + 0.0243039i
\(456\) −0.907991 + 1.33919i −0.0425206 + 0.0627131i
\(457\) −4.45406 + 8.40126i −0.208352 + 0.392994i −0.965560 0.260180i \(-0.916218\pi\)
0.757208 + 0.653174i \(0.226563\pi\)
\(458\) 1.23457 + 1.45345i 0.0576877 + 0.0679152i
\(459\) −4.84671 + 4.59105i −0.226225 + 0.214292i
\(460\) −24.8372 + 2.70121i −1.15804 + 0.125944i
\(461\) −4.52996 6.68119i −0.210981 0.311174i 0.707443 0.706770i \(-0.249848\pi\)
−0.918425 + 0.395596i \(0.870538\pi\)
\(462\) −1.80833 1.37466i −0.0841312 0.0639548i
\(463\) −10.4704 9.91805i −0.486599 0.460931i 0.404633 0.914479i \(-0.367399\pi\)
−0.891232 + 0.453548i \(0.850158\pi\)
\(464\) −0.483201 + 8.91212i −0.0224321 + 0.413735i
\(465\) 23.7475 + 8.00148i 1.10127 + 0.371060i
\(466\) 4.91653 3.73745i 0.227754 0.173134i
\(467\) 20.8741 + 2.27019i 0.965936 + 0.105052i 0.577471 0.816411i \(-0.304040\pi\)
0.388466 + 0.921463i \(0.373005\pi\)
\(468\) 0.158325 + 0.298634i 0.00731860 + 0.0138043i
\(469\) 4.41833 11.0892i 0.204019 0.512050i
\(470\) −8.06797 4.85434i −0.372148 0.223914i
\(471\) 8.25690 0.380458
\(472\) 5.48250 + 3.48984i 0.252353 + 0.160633i
\(473\) −23.8773 −1.09788
\(474\) 1.17373 + 0.706210i 0.0539112 + 0.0324373i
\(475\) 9.80717 24.6141i 0.449984 1.12937i
\(476\) −13.2105 24.9176i −0.605500 1.14209i
\(477\) 7.36346 + 0.800825i 0.337150 + 0.0366672i
\(478\) −2.05744 + 1.56402i −0.0941050 + 0.0715368i
\(479\) −33.1829 11.1806i −1.51617 0.510856i −0.566485 0.824072i \(-0.691697\pi\)
−0.949682 + 0.313215i \(0.898594\pi\)
\(480\) 0.585310 10.7954i 0.0267156 0.492740i
\(481\) 0.551817 + 0.522709i 0.0251607 + 0.0238335i
\(482\) −3.68363 2.80022i −0.167785 0.127547i
\(483\) 3.57173 + 5.26790i 0.162519 + 0.239698i
\(484\) 25.4801 2.77113i 1.15819 0.125960i
\(485\) 27.9855 26.5093i 1.27076 1.20373i
\(486\) 0.138523 + 0.163082i 0.00628354 + 0.00739756i
\(487\) −9.10299 + 17.1701i −0.412496 + 0.778050i −0.999503 0.0315321i \(-0.989961\pi\)
0.587007 + 0.809582i \(0.300306\pi\)
\(488\) −4.22384 + 6.22970i −0.191204 + 0.282005i
\(489\) 2.22234 0.748794i 0.100498 0.0338616i
\(490\) 0.578371 + 2.08310i 0.0261281 + 0.0941050i
\(491\) −6.38437 + 38.9429i −0.288123 + 1.75747i 0.304995 + 0.952354i \(0.401345\pi\)
−0.593118 + 0.805116i \(0.702103\pi\)
\(492\) 0.432413 + 1.08528i 0.0194947 + 0.0489280i
\(493\) 10.3488 12.1836i 0.466087 0.548720i
\(494\) −0.00383157 0.0706691i −0.000172390 0.00317955i
\(495\) 5.70476 20.5467i 0.256410 0.923505i
\(496\) 19.5225 + 9.03209i 0.876588 + 0.405553i
\(497\) −4.13494 0.910169i −0.185477 0.0408266i
\(498\) 1.15395 0.254003i 0.0517097 0.0113822i
\(499\) 16.2127 7.50080i 0.725780 0.335782i −0.0219728 0.999759i \(-0.506995\pi\)
0.747753 + 0.663977i \(0.231133\pi\)
\(500\) 12.1574 + 74.1569i 0.543696 + 3.31640i
\(501\) −0.128896 + 0.0775541i −0.00575865 + 0.00346486i
\(502\) −2.36307 + 1.42181i −0.105469 + 0.0634586i
\(503\) 4.12715 + 25.1745i 0.184021 + 1.12248i 0.903699 + 0.428168i \(0.140841\pi\)
−0.719679 + 0.694307i \(0.755711\pi\)
\(504\) −1.66001 + 0.768001i −0.0739425 + 0.0342095i
\(505\) −22.8375 + 5.02692i −1.01626 + 0.223695i
\(506\) 3.02131 + 0.665041i 0.134314 + 0.0295647i
\(507\) 11.7713 + 5.44600i 0.522783 + 0.241865i
\(508\) −0.686319 + 2.47190i −0.0304505 + 0.109673i
\(509\) −0.924034 17.0428i −0.0409571 0.755409i −0.944821 0.327588i \(-0.893764\pi\)
0.903863 0.427821i \(-0.140719\pi\)
\(510\) −4.01565 + 4.72759i −0.177816 + 0.209341i
\(511\) −10.0166 25.1398i −0.443109 1.11212i
\(512\) 2.52181 15.3824i 0.111449 0.679812i
\(513\) 0.511592 + 1.84259i 0.0225874 + 0.0813523i
\(514\) −3.25350 + 1.09623i −0.143506 + 0.0483527i
\(515\) −29.2573 + 43.1512i −1.28923 + 1.90147i
\(516\) −4.45077 + 8.39505i −0.195934 + 0.369572i
\(517\) −32.2172 37.9290i −1.41691 1.66812i
\(518\) −1.47573 + 1.39789i −0.0648400 + 0.0614198i
\(519\) 6.45476 0.701998i 0.283333 0.0308143i
\(520\) 0.356616 + 0.525969i 0.0156386 + 0.0230653i
\(521\) −2.87568 2.18604i −0.125986 0.0957720i 0.540284 0.841483i \(-0.318317\pi\)
−0.666270 + 0.745711i \(0.732110\pi\)
\(522\) −0.371969 0.352348i −0.0162806 0.0154218i
\(523\) −2.17345 + 40.0870i −0.0950385 + 1.75288i 0.430937 + 0.902382i \(0.358183\pi\)
−0.525975 + 0.850500i \(0.676300\pi\)
\(524\) −27.2683 9.18775i −1.19122 0.401369i
\(525\) 23.8450 18.1265i 1.04068 0.791105i
\(526\) 0.811997 + 0.0883100i 0.0354047 + 0.00385050i
\(527\) −18.0462 34.0388i −0.786107 1.48275i
\(528\) 6.77511 17.0042i 0.294849 0.740014i
\(529\) 12.2804 + 7.38884i 0.533929 + 0.321254i
\(530\) 6.88200 0.298935
\(531\) 7.33855 2.26840i 0.318466 0.0984401i
\(532\) −8.07857 −0.350250
\(533\) −0.0885981 0.0533077i −0.00383761 0.00230901i
\(534\) 0.932560 2.34055i 0.0403558 0.101285i
\(535\) −15.6426 29.5050i −0.676287 1.27561i
\(536\) −4.64464 0.505135i −0.200618 0.0218185i
\(537\) −1.82314 + 1.38591i −0.0786742 + 0.0598066i
\(538\) −2.13451 0.719201i −0.0920253 0.0310069i
\(539\) −0.618606 + 11.4095i −0.0266453 + 0.491443i
\(540\) −6.16065 5.83568i −0.265112 0.251128i
\(541\) −11.5528 8.78219i −0.496693 0.377576i 0.326627 0.945153i \(-0.394088\pi\)
−0.823320 + 0.567577i \(0.807881\pi\)
\(542\) 0.959972 + 1.41585i 0.0412343 + 0.0608161i
\(543\) 8.90524 0.968503i 0.382160 0.0415624i
\(544\) −12.0671 + 11.4306i −0.517373 + 0.490081i
\(545\) −48.5446 57.1511i −2.07942 2.44808i
\(546\) 0.0374753 0.0706859i 0.00160379 0.00302508i
\(547\) 9.27135 13.6742i 0.396414 0.584667i −0.576138 0.817353i \(-0.695441\pi\)
0.972552 + 0.232685i \(0.0747512\pi\)
\(548\) −0.736605 + 0.248191i −0.0314662 + 0.0106022i
\(549\) 2.37985 + 8.57146i 0.101570 + 0.365821i
\(550\) 2.35539 14.3672i 0.100434 0.612620i
\(551\) −1.69485 4.25376i −0.0722032 0.181216i
\(552\) 1.61267 1.89858i 0.0686398 0.0808091i
\(553\) 0.749235 + 13.8188i 0.0318607 + 0.587636i
\(554\) 0.500642 1.80315i 0.0212703 0.0766085i
\(555\) −17.3185 8.01240i −0.735130 0.340107i
\(556\) −14.2992 3.14749i −0.606421 0.133483i
\(557\) −5.18702 + 1.14175i −0.219781 + 0.0483774i −0.323496 0.946230i \(-0.604858\pi\)
0.103715 + 0.994607i \(0.466927\pi\)
\(558\) −1.12070 + 0.518493i −0.0474432 + 0.0219495i
\(559\) −0.136057 0.829914i −0.00575462 0.0351016i
\(560\) 29.9807 18.0388i 1.26691 0.762277i
\(561\) −28.0911 + 16.9019i −1.18601 + 0.713597i
\(562\) −0.874851 5.33635i −0.0369033 0.225100i
\(563\) 17.1521 7.93541i 0.722875 0.334438i −0.0237177 0.999719i \(-0.507550\pi\)
0.746593 + 0.665281i \(0.231688\pi\)
\(564\) −19.3408 + 4.25724i −0.814396 + 0.179262i
\(565\) −17.3326 3.81520i −0.729190 0.160507i
\(566\) 1.00947 + 0.467032i 0.0424313 + 0.0196308i
\(567\) −0.578332 + 2.08296i −0.0242877 + 0.0874763i
\(568\) 0.0897148 + 1.65469i 0.00376435 + 0.0694294i
\(569\) −5.66394 + 6.66811i −0.237445 + 0.279542i −0.867959 0.496636i \(-0.834568\pi\)
0.630514 + 0.776178i \(0.282844\pi\)
\(570\) 0.657654 + 1.65059i 0.0275461 + 0.0691355i
\(571\) 6.93138 42.2796i 0.290069 1.76934i −0.292208 0.956355i \(-0.594390\pi\)
0.582278 0.812990i \(-0.302162\pi\)
\(572\) 0.444062 + 1.59937i 0.0185672 + 0.0668728i
\(573\) 11.3340 3.81886i 0.473483 0.159535i
\(574\) 0.155180 0.228874i 0.00647710 0.00955301i
\(575\) −19.1079 + 36.0413i −0.796855 + 1.50303i
\(576\) −4.48123 5.27572i −0.186718 0.219821i
\(577\) 11.4011 10.7997i 0.474635 0.449598i −0.412602 0.910911i \(-0.635380\pi\)
0.887237 + 0.461313i \(0.152621\pi\)
\(578\) 5.86429 0.637780i 0.243922 0.0265282i
\(579\) 12.8138 + 18.8989i 0.532522 + 0.785411i
\(580\) 16.1760 + 12.2967i 0.671671 + 0.510591i
\(581\) 8.66648 + 8.20933i 0.359546 + 0.340580i
\(582\) −0.102837 + 1.89671i −0.00426272 + 0.0786212i
\(583\) 34.4693 + 11.6141i 1.42757 + 0.481005i
\(584\) −8.43203 + 6.40987i −0.348920 + 0.265242i
\(585\) 0.746656 + 0.0812037i 0.0308704 + 0.00335736i
\(586\) −1.68417 3.17668i −0.0695723 0.131227i
\(587\) 6.24872 15.6831i 0.257912 0.647311i −0.741817 0.670603i \(-0.766036\pi\)
0.999729 + 0.0232922i \(0.00741481\pi\)
\(588\) 3.89617 + 2.34425i 0.160675 + 0.0966752i
\(589\) −11.0358 −0.454722
\(590\) 6.55067 2.83251i 0.269687 0.116612i
\(591\) −3.44694 −0.141788
\(592\) −14.0353 8.44474i −0.576846 0.347077i
\(593\) −2.28451 + 5.73370i −0.0938138 + 0.235455i −0.968394 0.249427i \(-0.919758\pi\)
0.874580 + 0.484881i \(0.161137\pi\)
\(594\) 0.492188 + 0.928365i 0.0201947 + 0.0380913i
\(595\) −62.2999 6.77552i −2.55405 0.277769i
\(596\) 5.41907 4.11947i 0.221974 0.168740i
\(597\) 11.3992 + 3.84083i 0.466538 + 0.157195i
\(598\) −0.00589909 + 0.108802i −0.000241232 + 0.00444926i
\(599\) −10.3528 9.80671i −0.423005 0.400691i 0.446367 0.894850i \(-0.352718\pi\)
−0.869372 + 0.494159i \(0.835476\pi\)
\(600\) −9.33273 7.09456i −0.381007 0.289634i
\(601\) 13.4396 + 19.8219i 0.548212 + 0.808552i 0.996345 0.0854147i \(-0.0272215\pi\)
−0.448134 + 0.893967i \(0.647911\pi\)
\(602\) 2.23590 0.243168i 0.0911283 0.00991080i
\(603\) −4.00885 + 3.79739i −0.163253 + 0.154642i
\(604\) 9.28989 + 10.9369i 0.378000 + 0.445016i
\(605\) 26.6764 50.3170i 1.08455 2.04568i
\(606\) 0.646651 0.953739i 0.0262684 0.0387430i
\(607\) 16.2894 5.48855i 0.661168 0.222773i 0.0313409 0.999509i \(-0.490022\pi\)
0.629827 + 0.776735i \(0.283126\pi\)
\(608\) 1.27374 + 4.58759i 0.0516569 + 0.186051i
\(609\) 0.837436 5.10813i 0.0339346 0.206992i
\(610\) 3.05931 + 7.67829i 0.123868 + 0.310885i
\(611\) 1.13473 1.33591i 0.0459064 0.0540452i
\(612\) 0.706309 + 13.0271i 0.0285509 + 0.526590i
\(613\) −7.78187 + 28.0278i −0.314307 + 1.13203i 0.622625 + 0.782520i \(0.286066\pi\)
−0.936932 + 0.349511i \(0.886348\pi\)
\(614\) 1.47070 + 0.680420i 0.0593528 + 0.0274595i
\(615\) 2.53518 + 0.558035i 0.102228 + 0.0225021i
\(616\) −8.77203 + 1.93087i −0.353435 + 0.0777970i
\(617\) 1.16360 0.538338i 0.0468447 0.0216727i −0.396327 0.918109i \(-0.629715\pi\)
0.443172 + 0.896437i \(0.353853\pi\)
\(618\) −0.415619 2.53516i −0.0167186 0.101979i
\(619\) −4.71022 + 2.83404i −0.189320 + 0.113910i −0.607058 0.794658i \(-0.707650\pi\)
0.417738 + 0.908567i \(0.362823\pi\)
\(620\) 41.9614 25.2473i 1.68521 1.01396i
\(621\) −0.476314 2.90539i −0.0191138 0.116589i
\(622\) −0.0485049 + 0.0224408i −0.00194487 + 0.000899793i
\(623\) 24.8592 5.47193i 0.995963 0.219228i
\(624\) 0.629628 + 0.138592i 0.0252053 + 0.00554811i
\(625\) 88.6699 + 41.0231i 3.54680 + 1.64092i
\(626\) 1.23028 4.43109i 0.0491721 0.177102i
\(627\) 0.508407 + 9.37701i 0.0203038 + 0.374482i
\(628\) 10.4461 12.2981i 0.416844 0.490746i
\(629\) 10.8589 + 27.2537i 0.432971 + 1.08668i
\(630\) −0.324950 + 1.98211i −0.0129463 + 0.0789691i
\(631\) 9.89345 + 35.6330i 0.393852 + 1.41853i 0.849133 + 0.528179i \(0.177125\pi\)
−0.455281 + 0.890348i \(0.650461\pi\)
\(632\) 5.13298 1.72950i 0.204179 0.0687959i
\(633\) 14.3097 21.1052i 0.568760 0.838858i
\(634\) −0.0950523 + 0.179288i −0.00377501 + 0.00712042i
\(635\) 3.69035 + 4.34462i 0.146447 + 0.172411i
\(636\) 10.5085 9.95420i 0.416690 0.394710i
\(637\) −0.400090 + 0.0435124i −0.0158521 + 0.00172402i
\(638\) −1.41198 2.08251i −0.0559007 0.0824474i
\(639\) 1.55919 + 1.18527i 0.0616806 + 0.0468884i
\(640\) −20.3671 19.2927i −0.805080 0.762613i
\(641\) −2.21783 + 40.9055i −0.0875991 + 1.61567i 0.543118 + 0.839657i \(0.317244\pi\)
−0.630717 + 0.776013i \(0.717239\pi\)
\(642\) 1.55945 + 0.525440i 0.0615466 + 0.0207375i
\(643\) −13.0290 + 9.90435i −0.513812 + 0.390590i −0.829702 0.558206i \(-0.811490\pi\)
0.315891 + 0.948796i \(0.397697\pi\)
\(644\) 12.3649 + 1.34476i 0.487244 + 0.0529910i
\(645\) 9.88971 + 18.6540i 0.389407 + 0.734499i
\(646\) 1.01109 2.53765i 0.0397808 0.0998424i
\(647\) 27.3648 + 16.4649i 1.07582 + 0.647301i 0.939217 0.343325i \(-0.111553\pi\)
0.136606 + 0.990626i \(0.456381\pi\)
\(648\) 0.846095 0.0332378
\(649\) 37.5899 3.13203i 1.47553 0.122943i
\(650\) 0.512788 0.0201132
\(651\) −10.6897 6.43177i −0.418962 0.252081i
\(652\) 1.69628 4.25734i 0.0664315 0.166730i
\(653\) 3.99868 + 7.54232i 0.156481 + 0.295154i 0.949340 0.314251i \(-0.101753\pi\)
−0.792859 + 0.609405i \(0.791408\pi\)
\(654\) 3.67335 + 0.399501i 0.143639 + 0.0156217i
\(655\) −50.9002 + 38.6933i −1.98884 + 1.51187i
\(656\) 2.11162 + 0.711489i 0.0824451 + 0.0277790i
\(657\) −0.677733 + 12.5001i −0.0264409 + 0.487673i
\(658\) 3.40312 + 3.22361i 0.132667 + 0.125669i
\(659\) −26.7047 20.3004i −1.04027 0.790791i −0.0619874 0.998077i \(-0.519744\pi\)
−0.978280 + 0.207286i \(0.933537\pi\)
\(660\) −23.3856 34.4911i −0.910282 1.34257i
\(661\) −31.1149 + 3.38394i −1.21023 + 0.131620i −0.690897 0.722953i \(-0.742784\pi\)
−0.519331 + 0.854573i \(0.673819\pi\)
\(662\) 1.52664 1.44611i 0.0593345 0.0562046i
\(663\) −0.747533 0.880063i −0.0290318 0.0341788i
\(664\) 2.18849 4.12794i 0.0849301 0.160195i
\(665\) −10.0737 + 14.8576i −0.390642 + 0.576154i
\(666\) 0.891079 0.300239i 0.0345286 0.0116340i
\(667\) 1.88602 + 6.79283i 0.0730270 + 0.263020i
\(668\) −0.0475591 + 0.290098i −0.00184012 + 0.0112242i
\(669\) −9.57454 24.0303i −0.370173 0.929065i
\(670\) −3.32146 + 3.91032i −0.128319 + 0.151069i
\(671\) 2.36503 + 43.6205i 0.0913012 + 1.68395i
\(672\) −1.43990 + 5.18606i −0.0555455 + 0.200057i
\(673\) −9.62697 4.45391i −0.371092 0.171686i 0.225474 0.974249i \(-0.427607\pi\)
−0.596567 + 0.802563i \(0.703469\pi\)
\(674\) −6.75852 1.48766i −0.260329 0.0573026i
\(675\) −13.5317 + 2.97855i −0.520834 + 0.114644i
\(676\) 23.0037 10.6427i 0.884758 0.409333i
\(677\) −1.84180 11.2345i −0.0707860 0.431776i −0.998315 0.0580248i \(-0.981520\pi\)
0.927529 0.373751i \(-0.121929\pi\)
\(678\) 0.749353 0.450870i 0.0287787 0.0173156i
\(679\) −16.4436 + 9.89376i −0.631046 + 0.379688i
\(680\) 3.96810 + 24.2043i 0.152170 + 0.928194i
\(681\) −12.3611 + 5.71884i −0.473677 + 0.219146i
\(682\) −5.92218 + 1.30357i −0.226772 + 0.0499163i
\(683\) −28.0054 6.16445i −1.07160 0.235876i −0.356068 0.934460i \(-0.615883\pi\)
−0.715528 + 0.698584i \(0.753814\pi\)
\(684\) 3.39164 + 1.56914i 0.129683 + 0.0599975i
\(685\) −0.462064 + 1.66421i −0.0176546 + 0.0635860i
\(686\) −0.233565 4.30786i −0.00891757 0.164475i
\(687\) 5.76975 6.79267i 0.220130 0.259157i
\(688\) 6.70822 + 16.8364i 0.255748 + 0.641880i
\(689\) −0.207262 + 1.26424i −0.00789604 + 0.0481637i
\(690\) −0.731833 2.63582i −0.0278604 0.100344i
\(691\) −10.5199 + 3.54457i −0.400197 + 0.134842i −0.512201 0.858866i \(-0.671170\pi\)
0.112004 + 0.993708i \(0.464273\pi\)
\(692\) 7.12055 10.5020i 0.270683 0.399227i
\(693\) −4.97256 + 9.37924i −0.188892 + 0.356288i
\(694\) 4.58731 + 5.40060i 0.174132 + 0.205004i
\(695\) −23.6193 + 22.3734i −0.895932 + 0.848672i
\(696\) −2.01409 + 0.219046i −0.0763440 + 0.00830291i
\(697\) −2.23967 3.30326i −0.0848334 0.125120i
\(698\) 1.05311 + 0.800554i 0.0398608 + 0.0303014i
\(699\) −20.9542 19.8488i −0.792559 0.750752i
\(700\) 3.16895 58.4478i 0.119775 2.20912i
\(701\) 9.77254 + 3.29275i 0.369104 + 0.124366i 0.497740 0.867326i \(-0.334163\pi\)
−0.128636 + 0.991692i \(0.541060\pi\)
\(702\) −0.0294630 + 0.0223972i −0.00111201 + 0.000845327i
\(703\) 8.35427 + 0.908582i 0.315087 + 0.0342678i
\(704\) −15.9223 30.0327i −0.600095 1.13190i
\(705\) −16.2877 + 40.8791i −0.613432 + 1.53960i
\(706\) 0.735749 + 0.442686i 0.0276903 + 0.0166607i
\(707\) 11.6416 0.437826
\(708\) 5.90562 13.8001i 0.221947 0.518639i
\(709\) −1.43449 −0.0538733 −0.0269367 0.999637i \(-0.508575\pi\)
−0.0269367 + 0.999637i \(0.508575\pi\)
\(710\) 1.55928 + 0.938186i 0.0585186 + 0.0352095i
\(711\) 2.36954 5.94711i 0.0888648 0.223034i
\(712\) −4.66657 8.80209i −0.174887 0.329872i
\(713\) 16.8911 + 1.83702i 0.632578 + 0.0687970i
\(714\) 2.45835 1.86879i 0.0920014 0.0699376i
\(715\) 3.49519 + 1.17767i 0.130713 + 0.0440422i
\(716\) −0.242291 + 4.46880i −0.00905485 + 0.167007i
\(717\) 8.76875 + 8.30620i 0.327475 + 0.310201i
\(718\) 1.40238 + 1.06606i 0.0523362 + 0.0397849i
\(719\) −12.7946 18.8706i −0.477157 0.703754i 0.510589 0.859825i \(-0.329428\pi\)
−0.987746 + 0.156071i \(0.950117\pi\)
\(720\) −16.0906 + 1.74996i −0.599660 + 0.0652170i
\(721\) 18.8429 17.8489i 0.701746 0.664729i
\(722\) 2.12538 + 2.50219i 0.0790985 + 0.0931219i
\(723\) −10.1293 + 19.1058i −0.376711 + 0.710552i
\(724\) 9.82379 14.4890i 0.365098 0.538480i
\(725\) 31.4404 10.5935i 1.16767 0.393433i
\(726\) 0.750777 + 2.70405i 0.0278640 + 0.100357i
\(727\) −6.47847 + 39.5169i −0.240273 + 1.46560i 0.540794 + 0.841155i \(0.318124\pi\)
−0.781067 + 0.624447i \(0.785324\pi\)
\(728\) −0.117097 0.293890i −0.00433989 0.0108923i
\(729\) 0.647386 0.762162i 0.0239773 0.0282282i
\(730\) 0.629706 + 11.6142i 0.0233065 + 0.429863i
\(731\) 8.68403 31.2770i 0.321190 1.15682i
\(732\) 15.7774 + 7.29941i 0.583150 + 0.269794i
\(733\) 25.3258 + 5.57464i 0.935432 + 0.205904i 0.656430 0.754387i \(-0.272066\pi\)
0.279001 + 0.960291i \(0.409997\pi\)
\(734\) −4.56509 + 1.00485i −0.168501 + 0.0370898i
\(735\) 9.16981 4.24241i 0.338234 0.156484i
\(736\) −1.18590 7.23369i −0.0437130 0.266637i
\(737\) −23.2350 + 13.9800i −0.855871 + 0.514961i
\(738\) −0.109605 + 0.0659471i −0.00403461 + 0.00242755i
\(739\) −2.22551 13.5750i −0.0818667 0.499365i −0.995651 0.0931644i \(-0.970302\pi\)
0.913784 0.406200i \(-0.133146\pi\)
\(740\) −33.8441 + 15.6580i −1.24413 + 0.575598i
\(741\) −0.323023 + 0.0711028i −0.0118666 + 0.00261203i
\(742\) −3.34601 0.736514i −0.122836 0.0270383i
\(743\) −31.9625 14.7874i −1.17259 0.542499i −0.265779 0.964034i \(-0.585629\pi\)
−0.906812 + 0.421535i \(0.861491\pi\)
\(744\) −1.30629 + 4.70482i −0.0478908 + 0.172487i
\(745\) −0.818876 15.1033i −0.0300013 0.553342i
\(746\) −0.0257771 + 0.0303472i −0.000943768 + 0.00111109i
\(747\) −2.04393 5.12987i −0.0747834 0.187692i
\(748\) −10.3649 + 63.2228i −0.378976 + 2.31165i
\(749\) 4.44775 + 16.0194i 0.162517 + 0.585335i
\(750\) −7.79735 + 2.62723i −0.284719 + 0.0959330i
\(751\) −0.477527 + 0.704299i −0.0174252 + 0.0257003i −0.836302 0.548269i \(-0.815287\pi\)
0.818877 + 0.573970i \(0.194597\pi\)
\(752\) −17.6932 + 33.3729i −0.645204 + 1.21698i
\(753\) 8.34397 + 9.82328i 0.304071 + 0.357980i
\(754\) 0.0643369 0.0609432i 0.00234301 0.00221942i
\(755\) 31.6987 3.44744i 1.15363 0.125465i
\(756\) 2.37076 + 3.49661i 0.0862237 + 0.127170i
\(757\) 9.83144 + 7.47367i 0.357330 + 0.271635i 0.768402 0.639968i \(-0.221052\pi\)
−0.411072 + 0.911603i \(0.634845\pi\)
\(758\) 0.798389 + 0.756275i 0.0289988 + 0.0274691i
\(759\) 0.782744 14.4369i 0.0284118 0.524025i
\(760\) 6.65799 + 2.24334i 0.241511 + 0.0813745i
\(761\) 17.8907 13.6002i 0.648538 0.493006i −0.228426 0.973561i \(-0.573358\pi\)
0.876964 + 0.480555i \(0.159565\pi\)
\(762\) −0.279248 0.0303700i −0.0101161 0.00110019i
\(763\) 17.4859 + 32.9820i 0.633034 + 1.19403i
\(764\) 8.65105 21.7125i 0.312984 0.785531i
\(765\) 24.8394 + 14.9454i 0.898072 + 0.540352i
\(766\) 4.21600 0.152330
\(767\) 0.323055 + 1.28868i 0.0116649 + 0.0465315i
\(768\) −12.4617 −0.449672
\(769\) 26.8165 + 16.1349i 0.967026 + 0.581840i 0.909144 0.416483i \(-0.136737\pi\)
0.0578828 + 0.998323i \(0.481565\pi\)
\(770\) −3.65088 + 9.16303i −0.131569 + 0.330213i
\(771\) 7.51566 + 14.1760i 0.270670 + 0.510538i
\(772\) 44.3597 + 4.82441i 1.59654 + 0.173