Properties

Label 177.3.g.a.10.11
Level $177$
Weight $3$
Character 177.10
Analytic conductor $4.823$
Analytic rank $0$
Dimension $560$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 177.g (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.82290067918\)
Analytic rank: \(0\)
Dimension: \(560\)
Relative dimension: \(20\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 10.11
Character \(\chi\) \(=\) 177.10
Dual form 177.3.g.a.124.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.140866 + 0.0561262i) q^{2} +(1.72190 + 0.187268i) q^{3} +(-2.88729 - 2.73499i) q^{4} +(1.82294 - 2.14613i) q^{5} +(0.232047 + 0.123023i) q^{6} +(-8.41764 - 5.06473i) q^{7} +(-0.507898 - 1.09780i) q^{8} +(2.92986 + 0.644911i) q^{9} +O(q^{10})\) \(q+(0.140866 + 0.0561262i) q^{2} +(1.72190 + 0.187268i) q^{3} +(-2.88729 - 2.73499i) q^{4} +(1.82294 - 2.14613i) q^{5} +(0.232047 + 0.123023i) q^{6} +(-8.41764 - 5.06473i) q^{7} +(-0.507898 - 1.09780i) q^{8} +(2.92986 + 0.644911i) q^{9} +(0.377244 - 0.200002i) q^{10} +(-7.27840 - 0.394624i) q^{11} +(-4.45944 - 5.25006i) q^{12} +(-2.70845 - 12.3046i) q^{13} +(-0.901497 - 1.18590i) q^{14} +(3.54081 - 3.35403i) q^{15} +(0.851313 + 15.7015i) q^{16} +(-2.95697 + 1.77915i) q^{17} +(0.376522 + 0.255288i) q^{18} +(2.43835 - 8.78214i) q^{19} +(-11.1330 + 1.21078i) q^{20} +(-13.5459 - 10.2973i) q^{21} +(-1.00313 - 0.464098i) q^{22} +(32.9657 - 22.3513i) q^{23} +(-0.668965 - 1.98542i) q^{24} +(2.76179 + 16.8462i) q^{25} +(0.309082 - 1.88532i) q^{26} +(4.92415 + 1.65914i) q^{27} +(10.4522 + 37.6454i) q^{28} +(-18.1509 - 45.5554i) q^{29} +(0.687030 - 0.273738i) q^{30} +(33.0183 - 9.16750i) q^{31} +(-2.30626 + 6.84473i) q^{32} +(-12.4588 - 2.04251i) q^{33} +(-0.516395 + 0.0846586i) q^{34} +(-26.2144 + 8.83265i) q^{35} +(-6.69553 - 9.87517i) q^{36} +(-22.3197 + 48.2433i) q^{37} +(0.836389 - 1.10025i) q^{38} +(-2.35941 - 21.6945i) q^{39} +(-3.28189 - 0.911213i) q^{40} +(-5.08728 + 7.50318i) q^{41} +(-1.33021 - 2.21082i) q^{42} +(39.5683 - 2.14533i) q^{43} +(19.9356 + 21.0457i) q^{44} +(6.72501 - 5.11222i) q^{45} +(5.89825 - 1.29830i) q^{46} +(37.9147 - 32.2050i) q^{47} +(-1.47452 + 27.1959i) q^{48} +(22.2532 + 41.9740i) q^{49} +(-0.556469 + 2.52806i) q^{50} +(-5.42478 + 2.50977i) q^{51} +(-25.8328 + 42.9345i) q^{52} +(-13.1088 + 24.7259i) q^{53} +(0.600525 + 0.510091i) q^{54} +(-14.1150 + 14.9010i) q^{55} +(-1.28477 + 11.8133i) q^{56} +(5.84320 - 14.6653i) q^{57} -7.43595i q^{58} +(-57.4886 - 13.2688i) q^{59} -19.3966 q^{60} +(-12.1354 - 4.83519i) q^{61} +(5.16570 + 0.561804i) q^{62} +(-21.3962 - 20.2676i) q^{63} +(40.0105 - 47.1040i) q^{64} +(-31.3445 - 16.6178i) q^{65} +(-1.64038 - 0.986984i) q^{66} +(46.6801 + 100.897i) q^{67} +(13.4036 + 2.95035i) q^{68} +(60.9492 - 32.3132i) q^{69} +(-4.18846 - 0.227092i) q^{70} +(52.6376 + 61.9698i) q^{71} +(-0.780085 - 3.54396i) q^{72} +(-13.3077 - 17.5060i) q^{73} +(-5.85181 + 5.54313i) q^{74} +(1.60077 + 29.5246i) q^{75} +(-31.0592 + 18.6877i) q^{76} +(59.2683 + 40.1849i) q^{77} +(0.885266 - 3.18844i) q^{78} +(65.5741 - 7.13161i) q^{79} +(35.2494 + 26.7959i) q^{80} +(8.16818 + 3.77900i) q^{81} +(-1.13775 + 0.771415i) q^{82} +(-5.55224 - 16.4785i) q^{83} +(10.9479 + 66.7790i) q^{84} +(-1.57209 + 9.58931i) q^{85} +(5.69425 + 1.91862i) q^{86} +(-22.7230 - 81.8407i) q^{87} +(3.26347 + 8.19069i) q^{88} +(86.8699 - 34.6121i) q^{89} +(1.23426 - 0.342690i) q^{90} +(-39.5207 + 117.293i) q^{91} +(-156.312 - 25.6261i) q^{92} +(58.5710 - 9.60222i) q^{93} +(7.14844 - 2.40859i) q^{94} +(-14.4026 - 21.2423i) q^{95} +(-5.25293 + 11.3540i) q^{96} +(-55.0723 + 72.4464i) q^{97} +(0.778882 + 7.16170i) q^{98} +(-21.0702 - 5.85012i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 560q + 40q^{4} + 8q^{7} - 60q^{9} + O(q^{10}) \) \( 560q + 40q^{4} + 8q^{7} - 60q^{9} + 24q^{12} - 24q^{15} + 8q^{16} - 16q^{17} + 60q^{19} + 164q^{20} - 40q^{22} - 100q^{25} + 156q^{26} - 200q^{28} + 60q^{29} + 32q^{35} + 120q^{36} - 28q^{41} - 1572q^{46} - 638q^{47} + 96q^{48} - 1328q^{49} - 1856q^{50} + 24q^{51} - 1392q^{52} - 572q^{53} - 522q^{55} - 928q^{56} - 24q^{57} + 268q^{59} + 72q^{60} + 348q^{61} + 472q^{62} + 24q^{63} + 2580q^{64} + 1218q^{65} + 120q^{66} + 1044q^{67} + 1936q^{68} + 2784q^{70} + 1416q^{71} + 870q^{73} + 1752q^{74} - 240q^{75} - 120q^{76} + 468q^{78} + 420q^{79} - 376q^{80} - 180q^{81} - 168q^{84} + 348q^{85} - 232q^{86} - 144q^{87} + 212q^{88} - 152q^{94} - 788q^{95} - 3306q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{7}{58}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.140866 + 0.0561262i 0.0704331 + 0.0280631i 0.405089 0.914277i \(-0.367241\pi\)
−0.334656 + 0.942341i \(0.608620\pi\)
\(3\) 1.72190 + 0.187268i 0.573966 + 0.0624225i
\(4\) −2.88729 2.73499i −0.721822 0.683746i
\(5\) 1.82294 2.14613i 0.364587 0.429225i −0.549029 0.835803i \(-0.685002\pi\)
0.913616 + 0.406578i \(0.133278\pi\)
\(6\) 0.232047 + 0.123023i 0.0386744 + 0.0205039i
\(7\) −8.41764 5.06473i −1.20252 0.723532i −0.233944 0.972250i \(-0.575163\pi\)
−0.968576 + 0.248718i \(0.919991\pi\)
\(8\) −0.507898 1.09780i −0.0634873 0.137225i
\(9\) 2.92986 + 0.644911i 0.325540 + 0.0716568i
\(10\) 0.377244 0.200002i 0.0377244 0.0200002i
\(11\) −7.27840 0.394624i −0.661673 0.0358749i −0.279755 0.960071i \(-0.590253\pi\)
−0.381918 + 0.924196i \(0.624736\pi\)
\(12\) −4.45944 5.25006i −0.371620 0.437505i
\(13\) −2.70845 12.3046i −0.208342 0.946507i −0.958465 0.285209i \(-0.907937\pi\)
0.750123 0.661298i \(-0.229994\pi\)
\(14\) −0.901497 1.18590i −0.0643926 0.0847071i
\(15\) 3.54081 3.35403i 0.236054 0.223602i
\(16\) 0.851313 + 15.7015i 0.0532071 + 0.981347i
\(17\) −2.95697 + 1.77915i −0.173940 + 0.104656i −0.599861 0.800104i \(-0.704778\pi\)
0.425922 + 0.904760i \(0.359950\pi\)
\(18\) 0.376522 + 0.255288i 0.0209179 + 0.0141827i
\(19\) 2.43835 8.78214i 0.128334 0.462218i −0.871256 0.490828i \(-0.836694\pi\)
0.999591 + 0.0286102i \(0.00910814\pi\)
\(20\) −11.1330 + 1.21078i −0.556648 + 0.0605392i
\(21\) −13.5459 10.2973i −0.645041 0.490347i
\(22\) −1.00313 0.464098i −0.0455969 0.0210954i
\(23\) 32.9657 22.3513i 1.43329 0.971796i 0.435872 0.900009i \(-0.356440\pi\)
0.997420 0.0717869i \(-0.0228702\pi\)
\(24\) −0.668965 1.98542i −0.0278736 0.0827258i
\(25\) 2.76179 + 16.8462i 0.110472 + 0.673846i
\(26\) 0.309082 1.88532i 0.0118878 0.0725122i
\(27\) 4.92415 + 1.65914i 0.182376 + 0.0614496i
\(28\) 10.4522 + 37.6454i 0.373293 + 1.34448i
\(29\) −18.1509 45.5554i −0.625893 1.57087i −0.809018 0.587784i \(-0.800000\pi\)
0.183124 0.983090i \(-0.441379\pi\)
\(30\) 0.687030 0.273738i 0.0229010 0.00912459i
\(31\) 33.0183 9.16750i 1.06511 0.295726i 0.309601 0.950867i \(-0.399805\pi\)
0.755507 + 0.655141i \(0.227391\pi\)
\(32\) −2.30626 + 6.84473i −0.0720705 + 0.213898i
\(33\) −12.4588 2.04251i −0.377538 0.0618943i
\(34\) −0.516395 + 0.0846586i −0.0151881 + 0.00248996i
\(35\) −26.2144 + 8.83265i −0.748982 + 0.252361i
\(36\) −6.69553 9.87517i −0.185987 0.274310i
\(37\) −22.3197 + 48.2433i −0.603236 + 1.30387i 0.329787 + 0.944055i \(0.393023\pi\)
−0.933023 + 0.359817i \(0.882839\pi\)
\(38\) 0.836389 1.10025i 0.0220102 0.0289540i
\(39\) −2.35941 21.6945i −0.0604978 0.556268i
\(40\) −3.28189 0.911213i −0.0820473 0.0227803i
\(41\) −5.08728 + 7.50318i −0.124080 + 0.183004i −0.884656 0.466245i \(-0.845607\pi\)
0.760576 + 0.649249i \(0.224917\pi\)
\(42\) −1.33021 2.21082i −0.0316715 0.0526385i
\(43\) 39.5683 2.14533i 0.920194 0.0498915i 0.412048 0.911162i \(-0.364814\pi\)
0.508146 + 0.861271i \(0.330331\pi\)
\(44\) 19.9356 + 21.0457i 0.453081 + 0.478312i
\(45\) 6.72501 5.11222i 0.149445 0.113605i
\(46\) 5.89825 1.29830i 0.128223 0.0282240i
\(47\) 37.9147 32.2050i 0.806695 0.685213i −0.145952 0.989292i \(-0.546624\pi\)
0.952647 + 0.304079i \(0.0983486\pi\)
\(48\) −1.47452 + 27.1959i −0.0307191 + 0.566581i
\(49\) 22.2532 + 41.9740i 0.454147 + 0.856612i
\(50\) −0.556469 + 2.52806i −0.0111294 + 0.0505613i
\(51\) −5.42478 + 2.50977i −0.106368 + 0.0492112i
\(52\) −25.8328 + 42.9345i −0.496785 + 0.825663i
\(53\) −13.1088 + 24.7259i −0.247336 + 0.466526i −0.975831 0.218526i \(-0.929875\pi\)
0.728495 + 0.685051i \(0.240220\pi\)
\(54\) 0.600525 + 0.510091i 0.0111208 + 0.00944612i
\(55\) −14.1150 + 14.9010i −0.256636 + 0.270927i
\(56\) −1.28477 + 11.8133i −0.0229424 + 0.210951i
\(57\) 5.84320 14.6653i 0.102512 0.257286i
\(58\) 7.43595i 0.128206i
\(59\) −57.4886 13.2688i −0.974383 0.224895i
\(60\) −19.3966 −0.323276
\(61\) −12.1354 4.83519i −0.198941 0.0792654i 0.268540 0.963269i \(-0.413459\pi\)
−0.467481 + 0.884003i \(0.654838\pi\)
\(62\) 5.16570 + 0.561804i 0.0833178 + 0.00906136i
\(63\) −21.3962 20.2676i −0.339623 0.321708i
\(64\) 40.0105 47.1040i 0.625165 0.736001i
\(65\) −31.3445 16.6178i −0.482224 0.255659i
\(66\) −1.64038 0.986984i −0.0248542 0.0149543i
\(67\) 46.6801 + 100.897i 0.696717 + 1.50593i 0.855051 + 0.518544i \(0.173526\pi\)
−0.158333 + 0.987386i \(0.550612\pi\)
\(68\) 13.4036 + 2.95035i 0.197112 + 0.0433875i
\(69\) 60.9492 32.3132i 0.883322 0.468308i
\(70\) −4.18846 0.227092i −0.0598352 0.00324417i
\(71\) 52.6376 + 61.9698i 0.741375 + 0.872814i 0.995539 0.0943468i \(-0.0300762\pi\)
−0.254164 + 0.967161i \(0.581800\pi\)
\(72\) −0.780085 3.54396i −0.0108345 0.0492217i
\(73\) −13.3077 17.5060i −0.182297 0.239808i 0.695863 0.718175i \(-0.255022\pi\)
−0.878160 + 0.478367i \(0.841229\pi\)
\(74\) −5.85181 + 5.54313i −0.0790785 + 0.0749071i
\(75\) 1.60077 + 29.5246i 0.0213437 + 0.393661i
\(76\) −31.0592 + 18.6877i −0.408674 + 0.245891i
\(77\) 59.2683 + 40.1849i 0.769718 + 0.521882i
\(78\) 0.885266 3.18844i 0.0113496 0.0408774i
\(79\) 65.5741 7.13161i 0.830051 0.0902735i 0.316779 0.948499i \(-0.397399\pi\)
0.513272 + 0.858226i \(0.328433\pi\)
\(80\) 35.2494 + 26.7959i 0.440617 + 0.334949i
\(81\) 8.16818 + 3.77900i 0.100842 + 0.0466543i
\(82\) −1.13775 + 0.771415i −0.0138750 + 0.00940750i
\(83\) −5.55224 16.4785i −0.0668945 0.198536i 0.908992 0.416813i \(-0.136853\pi\)
−0.975887 + 0.218277i \(0.929956\pi\)
\(84\) 10.9479 + 66.7790i 0.130332 + 0.794988i
\(85\) −1.57209 + 9.58931i −0.0184952 + 0.112815i
\(86\) 5.69425 + 1.91862i 0.0662122 + 0.0223095i
\(87\) −22.7230 81.8407i −0.261183 0.940698i
\(88\) 3.26347 + 8.19069i 0.0370849 + 0.0930760i
\(89\) 86.8699 34.6121i 0.976066 0.388900i 0.173086 0.984907i \(-0.444626\pi\)
0.802980 + 0.596006i \(0.203247\pi\)
\(90\) 1.23426 0.342690i 0.0137140 0.00380766i
\(91\) −39.5207 + 117.293i −0.434293 + 1.28894i
\(92\) −156.312 25.6261i −1.69904 0.278544i
\(93\) 58.5710 9.60222i 0.629795 0.103250i
\(94\) 7.14844 2.40859i 0.0760473 0.0256233i
\(95\) −14.4026 21.2423i −0.151607 0.223603i
\(96\) −5.25293 + 11.3540i −0.0547181 + 0.118271i
\(97\) −55.0723 + 72.4464i −0.567756 + 0.746870i −0.986950 0.161027i \(-0.948519\pi\)
0.419194 + 0.907896i \(0.362313\pi\)
\(98\) 0.778882 + 7.16170i 0.00794778 + 0.0730786i
\(99\) −21.0702 5.85012i −0.212830 0.0590921i
\(100\) 38.0999 56.1932i 0.380999 0.561932i
\(101\) −42.7381 71.0313i −0.423149 0.703280i 0.569805 0.821780i \(-0.307019\pi\)
−0.992954 + 0.118500i \(0.962191\pi\)
\(102\) −0.905032 + 0.0490694i −0.00887286 + 0.000481073i
\(103\) −119.322 125.966i −1.15846 1.22297i −0.970579 0.240781i \(-0.922596\pi\)
−0.187882 0.982192i \(-0.560162\pi\)
\(104\) −12.1324 + 9.22282i −0.116658 + 0.0886810i
\(105\) −46.7925 + 10.2998i −0.445643 + 0.0980934i
\(106\) −3.23436 + 2.74729i −0.0305128 + 0.0259178i
\(107\) 10.9872 202.647i 0.102684 1.89390i −0.265450 0.964125i \(-0.585520\pi\)
0.368134 0.929773i \(-0.379997\pi\)
\(108\) −9.67972 18.2579i −0.0896271 0.169055i
\(109\) 28.8590 131.108i 0.264761 1.20282i −0.637095 0.770786i \(-0.719864\pi\)
0.901856 0.432037i \(-0.142205\pi\)
\(110\) −2.82466 + 1.30683i −0.0256787 + 0.0118802i
\(111\) −47.4667 + 78.8902i −0.427628 + 0.710723i
\(112\) 72.3580 136.482i 0.646053 1.21859i
\(113\) −96.4039 81.8862i −0.853132 0.724657i 0.109929 0.993939i \(-0.464938\pi\)
−0.963061 + 0.269283i \(0.913213\pi\)
\(114\) 1.64622 1.73789i 0.0144405 0.0152447i
\(115\) 12.1257 111.494i 0.105440 0.969509i
\(116\) −72.1863 + 181.174i −0.622296 + 1.56184i
\(117\) 37.7975i 0.323055i
\(118\) −7.35347 5.09575i −0.0623176 0.0431843i
\(119\) 33.9016 0.284888
\(120\) −5.48044 2.18361i −0.0456703 0.0181967i
\(121\) −67.4713 7.33794i −0.557614 0.0606442i
\(122\) −1.43809 1.36223i −0.0117876 0.0111658i
\(123\) −10.1649 + 11.9670i −0.0826413 + 0.0972929i
\(124\) −120.406 63.8355i −0.971020 0.514802i
\(125\) 101.508 + 61.0753i 0.812063 + 0.488602i
\(126\) −1.87646 4.05591i −0.0148926 0.0321897i
\(127\) −25.4719 5.60679i −0.200566 0.0441479i 0.113551 0.993532i \(-0.463777\pi\)
−0.314117 + 0.949384i \(0.601708\pi\)
\(128\) 33.8057 17.9226i 0.264107 0.140021i
\(129\) 68.5344 + 3.71583i 0.531274 + 0.0288049i
\(130\) −3.48269 4.10014i −0.0267899 0.0315395i
\(131\) 19.0164 + 86.3922i 0.145163 + 0.659483i 0.991852 + 0.127395i \(0.0406615\pi\)
−0.846689 + 0.532088i \(0.821407\pi\)
\(132\) 30.3858 + 39.9719i 0.230196 + 0.302817i
\(133\) −65.0043 + 61.5753i −0.488754 + 0.462972i
\(134\) 0.912659 + 16.8330i 0.00681089 + 0.125619i
\(135\) 12.5371 7.54334i 0.0928677 0.0558766i
\(136\) 3.45500 + 2.34255i 0.0254044 + 0.0172246i
\(137\) 51.7869 186.519i 0.378006 1.36146i −0.492934 0.870067i \(-0.664075\pi\)
0.870940 0.491389i \(-0.163511\pi\)
\(138\) 10.3993 1.13099i 0.0753573 0.00819560i
\(139\) −13.4698 10.2395i −0.0969054 0.0736656i 0.555600 0.831450i \(-0.312489\pi\)
−0.652505 + 0.757784i \(0.726282\pi\)
\(140\) 99.8456 + 46.1935i 0.713183 + 0.329953i
\(141\) 71.3161 48.3535i 0.505788 0.342933i
\(142\) 3.93673 + 11.6838i 0.0277235 + 0.0822803i
\(143\) 14.8575 + 90.6266i 0.103898 + 0.633752i
\(144\) −7.63188 + 46.5524i −0.0529991 + 0.323280i
\(145\) −130.855 44.0903i −0.902452 0.304071i
\(146\) −0.892060 3.21291i −0.00611000 0.0220062i
\(147\) 30.4574 + 76.4422i 0.207193 + 0.520015i
\(148\) 196.388 78.2482i 1.32695 0.528704i
\(149\) 29.7790 8.26811i 0.199859 0.0554907i −0.166156 0.986099i \(-0.553136\pi\)
0.366015 + 0.930609i \(0.380722\pi\)
\(150\) −1.43161 + 4.24886i −0.00954405 + 0.0283257i
\(151\) 44.2090 + 7.24770i 0.292775 + 0.0479980i 0.306379 0.951909i \(-0.400882\pi\)
−0.0136047 + 0.999907i \(0.504331\pi\)
\(152\) −10.8795 + 1.78360i −0.0715756 + 0.0117342i
\(153\) −9.81091 + 3.30568i −0.0641236 + 0.0216058i
\(154\) 6.09348 + 8.98720i 0.0395680 + 0.0583585i
\(155\) 40.5157 87.5733i 0.261392 0.564989i
\(156\) −52.5217 + 69.0911i −0.336678 + 0.442892i
\(157\) 10.7388 + 98.7413i 0.0683998 + 0.628926i 0.977292 + 0.211895i \(0.0679636\pi\)
−0.908893 + 0.417030i \(0.863071\pi\)
\(158\) 9.63744 + 2.67582i 0.0609965 + 0.0169356i
\(159\) −27.2024 + 40.1205i −0.171084 + 0.252330i
\(160\) 10.4855 + 17.4270i 0.0655343 + 0.108919i
\(161\) −390.697 + 21.1830i −2.42669 + 0.131571i
\(162\) 0.938519 + 0.990783i 0.00579333 + 0.00611594i
\(163\) 68.7748 52.2812i 0.421931 0.320744i −0.372573 0.928003i \(-0.621524\pi\)
0.794504 + 0.607259i \(0.207731\pi\)
\(164\) 35.2096 7.75021i 0.214692 0.0472574i
\(165\) −27.0950 + 23.0147i −0.164212 + 0.139483i
\(166\) 0.142751 2.63289i 0.000859945 0.0158608i
\(167\) 133.226 + 251.292i 0.797763 + 1.50474i 0.862058 + 0.506810i \(0.169175\pi\)
−0.0642949 + 0.997931i \(0.520480\pi\)
\(168\) −4.42449 + 20.1007i −0.0263363 + 0.119647i
\(169\) 9.31292 4.30862i 0.0551060 0.0254948i
\(170\) −0.759666 + 1.26258i −0.00446862 + 0.00742691i
\(171\) 12.8077 24.1579i 0.0748990 0.141274i
\(172\) −120.113 102.025i −0.698330 0.593167i
\(173\) −24.4378 + 25.7987i −0.141259 + 0.149125i −0.792786 0.609500i \(-0.791370\pi\)
0.651527 + 0.758626i \(0.274129\pi\)
\(174\) 1.39251 12.8039i 0.00800295 0.0735859i
\(175\) 62.0734 155.793i 0.354705 0.890243i
\(176\) 114.618i 0.651239i
\(177\) −96.5046 33.6133i −0.545224 0.189906i
\(178\) 14.1797 0.0796611
\(179\) 70.9562 + 28.2715i 0.396403 + 0.157941i 0.559817 0.828616i \(-0.310871\pi\)
−0.163414 + 0.986558i \(0.552251\pi\)
\(180\) −33.3989 3.63235i −0.185549 0.0201797i
\(181\) 121.406 + 115.002i 0.670751 + 0.635370i 0.945299 0.326204i \(-0.105770\pi\)
−0.274548 + 0.961573i \(0.588528\pi\)
\(182\) −12.1503 + 14.3045i −0.0667602 + 0.0785961i
\(183\) −19.9905 10.5983i −0.109237 0.0579140i
\(184\) −41.2806 24.8377i −0.224351 0.134987i
\(185\) 62.8487 + 135.845i 0.339723 + 0.734299i
\(186\) 8.78961 + 1.93474i 0.0472559 + 0.0104018i
\(187\) 22.2241 11.7825i 0.118846 0.0630080i
\(188\) −197.551 10.7109i −1.05080 0.0569729i
\(189\) −33.0466 38.9055i −0.174850 0.205849i
\(190\) −0.836594 3.80069i −0.00440313 0.0200036i
\(191\) −19.9498 26.2435i −0.104449 0.137400i 0.740899 0.671617i \(-0.234400\pi\)
−0.845348 + 0.534216i \(0.820607\pi\)
\(192\) 77.7151 73.6157i 0.404766 0.383415i
\(193\) 10.1440 + 187.094i 0.0525594 + 0.969401i 0.899283 + 0.437368i \(0.144089\pi\)
−0.846723 + 0.532033i \(0.821428\pi\)
\(194\) −11.8240 + 7.11424i −0.0609483 + 0.0366714i
\(195\) −50.8601 34.4840i −0.260821 0.176841i
\(196\) 50.5468 182.053i 0.257892 0.928843i
\(197\) 63.9954 6.95992i 0.324850 0.0353296i 0.0557588 0.998444i \(-0.482242\pi\)
0.269091 + 0.963115i \(0.413277\pi\)
\(198\) −2.63974 2.00668i −0.0133320 0.0101347i
\(199\) 37.1697 + 17.1965i 0.186782 + 0.0864148i 0.511051 0.859550i \(-0.329256\pi\)
−0.324269 + 0.945965i \(0.605118\pi\)
\(200\) 17.0911 11.5880i 0.0854554 0.0579402i
\(201\) 61.4835 + 182.476i 0.305888 + 0.907843i
\(202\) −2.03364 12.4046i −0.0100675 0.0614091i
\(203\) −77.9375 + 475.398i −0.383929 + 2.34186i
\(204\) 22.5271 + 7.59026i 0.110427 + 0.0372072i
\(205\) 6.82898 + 24.5958i 0.0333121 + 0.119979i
\(206\) −9.73836 24.4414i −0.0472736 0.118648i
\(207\) 111.000 44.2263i 0.536230 0.213653i
\(208\) 190.895 53.0018i 0.917766 0.254817i
\(209\) −21.2129 + 62.9577i −0.101497 + 0.301233i
\(210\) −7.16957 1.17539i −0.0341408 0.00559710i
\(211\) −47.5852 + 7.80120i −0.225522 + 0.0369725i −0.273484 0.961877i \(-0.588176\pi\)
0.0479611 + 0.998849i \(0.484728\pi\)
\(212\) 105.474 35.5383i 0.497518 0.167633i
\(213\) 79.0317 + 116.563i 0.371041 + 0.547244i
\(214\) 12.9215 27.9295i 0.0603810 0.130511i
\(215\) 67.5264 88.8295i 0.314076 0.413160i
\(216\) −0.679557 6.24842i −0.00314610 0.0289279i
\(217\) −324.367 90.0601i −1.49478 0.415024i
\(218\) 11.4238 16.8489i 0.0524029 0.0772885i
\(219\) −19.6362 32.6356i −0.0896629 0.149021i
\(220\) 81.5080 4.41924i 0.370491 0.0200874i
\(221\) 29.9005 + 31.5656i 0.135297 + 0.142831i
\(222\) −11.1143 + 8.44884i −0.0500642 + 0.0380578i
\(223\) −184.463 + 40.6033i −0.827188 + 0.182078i −0.608335 0.793680i \(-0.708162\pi\)
−0.218852 + 0.975758i \(0.570231\pi\)
\(224\) 54.0799 45.9359i 0.241428 0.205071i
\(225\) −2.77262 + 51.1380i −0.0123228 + 0.227280i
\(226\) −8.98409 16.9458i −0.0397526 0.0749814i
\(227\) 53.2372 241.859i 0.234525 1.06546i −0.701265 0.712901i \(-0.747381\pi\)
0.935790 0.352558i \(-0.114688\pi\)
\(228\) −56.9804 + 26.3620i −0.249914 + 0.115623i
\(229\) −118.370 + 196.732i −0.516898 + 0.859091i −0.999863 0.0165483i \(-0.994732\pi\)
0.482965 + 0.875640i \(0.339560\pi\)
\(230\) 7.96581 15.0251i 0.0346340 0.0653266i
\(231\) 94.5286 + 80.2933i 0.409215 + 0.347590i
\(232\) −40.7920 + 43.0636i −0.175828 + 0.185619i
\(233\) −31.7464 + 291.903i −0.136251 + 1.25280i 0.703840 + 0.710358i \(0.251467\pi\)
−0.840091 + 0.542445i \(0.817499\pi\)
\(234\) 2.12143 5.32439i 0.00906594 0.0227538i
\(235\) 140.077i 0.596074i
\(236\) 129.696 + 195.541i 0.549560 + 0.828565i
\(237\) 114.247 0.482056
\(238\) 4.77560 + 1.90277i 0.0200655 + 0.00799484i
\(239\) 360.499 + 39.2066i 1.50836 + 0.164044i 0.824624 0.565681i \(-0.191387\pi\)
0.683740 + 0.729726i \(0.260352\pi\)
\(240\) 55.6778 + 52.7408i 0.231991 + 0.219754i
\(241\) −86.5482 + 101.892i −0.359121 + 0.422790i −0.911819 0.410591i \(-0.865322\pi\)
0.552698 + 0.833381i \(0.313598\pi\)
\(242\) −9.09257 4.82058i −0.0375726 0.0199197i
\(243\) 13.3571 + 8.03669i 0.0549674 + 0.0330728i
\(244\) 21.8143 + 47.1508i 0.0894027 + 0.193241i
\(245\) 130.648 + 28.7577i 0.533256 + 0.117378i
\(246\) −2.10355 + 1.11523i −0.00855103 + 0.00453347i
\(247\) −114.665 6.21694i −0.464230 0.0251698i
\(248\) −26.8341 31.5915i −0.108202 0.127385i
\(249\) −6.47451 29.4140i −0.0260020 0.118128i
\(250\) 10.8711 + 14.3007i 0.0434844 + 0.0572028i
\(251\) −56.0547 + 53.0978i −0.223325 + 0.211545i −0.791179 0.611584i \(-0.790533\pi\)
0.567854 + 0.823129i \(0.307774\pi\)
\(252\) 6.34555 + 117.037i 0.0251807 + 0.464431i
\(253\) −248.758 + 149.673i −0.983233 + 0.591592i
\(254\) −3.27344 2.21945i −0.0128876 0.00873799i
\(255\) −4.50274 + 16.2174i −0.0176578 + 0.0635977i
\(256\) −239.996 + 26.1011i −0.937483 + 0.101957i
\(257\) 36.3099 + 27.6020i 0.141284 + 0.107401i 0.673429 0.739252i \(-0.264821\pi\)
−0.532145 + 0.846653i \(0.678614\pi\)
\(258\) 9.44563 + 4.37001i 0.0366110 + 0.0169380i
\(259\) 432.218 293.051i 1.66880 1.13147i
\(260\) 45.0512 + 133.707i 0.173274 + 0.514259i
\(261\) −23.8005 145.177i −0.0911896 0.556232i
\(262\) −2.17011 + 13.2371i −0.00828285 + 0.0505232i
\(263\) −446.502 150.444i −1.69773 0.572031i −0.706918 0.707295i \(-0.749915\pi\)
−0.990810 + 0.135264i \(0.956812\pi\)
\(264\) 4.08551 + 14.7147i 0.0154754 + 0.0557374i
\(265\) 29.1683 + 73.2068i 0.110069 + 0.276252i
\(266\) −12.6129 + 5.02544i −0.0474169 + 0.0188926i
\(267\) 156.063 43.3306i 0.584505 0.162287i
\(268\) 141.174 418.989i 0.526768 1.56339i
\(269\) 16.8625 + 2.76446i 0.0626858 + 0.0102768i 0.193043 0.981190i \(-0.438164\pi\)
−0.130357 + 0.991467i \(0.541613\pi\)
\(270\) 2.18944 0.358940i 0.00810903 0.00132941i
\(271\) 471.752 158.952i 1.74078 0.586538i 0.744111 0.668055i \(-0.232873\pi\)
0.996672 + 0.0815173i \(0.0259766\pi\)
\(272\) −30.4527 44.9144i −0.111959 0.165127i
\(273\) −90.0157 + 194.566i −0.329728 + 0.712695i
\(274\) 17.7637 23.3677i 0.0648309 0.0852836i
\(275\) −13.4535 123.703i −0.0489219 0.449829i
\(276\) −264.354 73.3976i −0.957805 0.265933i
\(277\) −164.185 + 242.155i −0.592725 + 0.874204i −0.999222 0.0394480i \(-0.987440\pi\)
0.406496 + 0.913652i \(0.366750\pi\)
\(278\) −1.32274 2.19841i −0.00475806 0.00790796i
\(279\) 102.651 5.56560i 0.367926 0.0199484i
\(280\) 23.0107 + 24.2921i 0.0821812 + 0.0867576i
\(281\) 74.4264 56.5775i 0.264863 0.201343i −0.464311 0.885672i \(-0.653698\pi\)
0.729173 + 0.684329i \(0.239905\pi\)
\(282\) 12.7599 2.80867i 0.0452480 0.00995984i
\(283\) 55.8205 47.4143i 0.197245 0.167542i −0.543321 0.839525i \(-0.682833\pi\)
0.740566 + 0.671983i \(0.234557\pi\)
\(284\) 17.5065 322.888i 0.0616425 1.13693i
\(285\) −20.8219 39.2742i −0.0730591 0.137804i
\(286\) −2.99361 + 13.6001i −0.0104672 + 0.0475529i
\(287\) 80.8245 37.3934i 0.281618 0.130291i
\(288\) −11.1713 + 18.5668i −0.0387891 + 0.0644679i
\(289\) −129.792 + 244.813i −0.449106 + 0.847104i
\(290\) −15.9585 13.5553i −0.0550293 0.0467423i
\(291\) −108.396 + 114.432i −0.372494 + 0.393237i
\(292\) −9.45542 + 86.9411i −0.0323816 + 0.297744i
\(293\) 5.05095 12.6769i 0.0172387 0.0432659i −0.920105 0.391671i \(-0.871897\pi\)
0.937344 + 0.348405i \(0.113277\pi\)
\(294\) 12.4776i 0.0424407i
\(295\) −133.275 + 99.1896i −0.451778 + 0.336236i
\(296\) 64.2978 0.217222
\(297\) −35.1852 14.0191i −0.118469 0.0472023i
\(298\) 4.65892 + 0.506688i 0.0156340 + 0.00170030i
\(299\) −364.310 345.092i −1.21843 1.15415i
\(300\) 76.1273 89.6240i 0.253758 0.298747i
\(301\) −343.938 182.344i −1.14265 0.605795i
\(302\) 5.82077 + 3.50224i 0.0192741 + 0.0115968i
\(303\) −60.2888 130.312i −0.198973 0.430073i
\(304\) 139.969 + 30.8095i 0.460424 + 0.101347i
\(305\) −32.4990 + 17.2299i −0.106554 + 0.0564914i
\(306\) −1.56756 0.0849907i −0.00512275 0.000277747i
\(307\) 182.544 + 214.907i 0.594606 + 0.700024i 0.974342 0.225071i \(-0.0722613\pi\)
−0.379737 + 0.925095i \(0.623985\pi\)
\(308\) −61.2196 278.123i −0.198765 0.902998i
\(309\) −181.870 239.246i −0.588576 0.774259i
\(310\) 10.6225 10.0621i 0.0342660 0.0324585i
\(311\) −20.7882 383.415i −0.0668430 1.23285i −0.818973 0.573832i \(-0.805456\pi\)
0.752130 0.659014i \(-0.229026\pi\)
\(312\) −22.6179 + 13.6087i −0.0724933 + 0.0436178i
\(313\) −216.734 146.950i −0.692442 0.469488i 0.163510 0.986542i \(-0.447718\pi\)
−0.855953 + 0.517054i \(0.827029\pi\)
\(314\) −4.02925 + 14.5120i −0.0128320 + 0.0462167i
\(315\) −82.5007 + 8.97249i −0.261907 + 0.0284841i
\(316\) −208.836 158.753i −0.660874 0.502383i
\(317\) −68.6211 31.7475i −0.216470 0.100150i 0.308657 0.951173i \(-0.400120\pi\)
−0.525128 + 0.851023i \(0.675982\pi\)
\(318\) −6.08371 + 4.12486i −0.0191312 + 0.0129713i
\(319\) 114.132 + 338.733i 0.357782 + 1.06186i
\(320\) −28.1546 171.735i −0.0879831 0.536673i
\(321\) 56.8681 346.880i 0.177159 1.08062i
\(322\) −56.2249 18.9444i −0.174611 0.0588334i
\(323\) 8.41462 + 30.3067i 0.0260515 + 0.0938289i
\(324\) −13.2484 33.2509i −0.0408901 0.102626i
\(325\) 199.805 79.6096i 0.614785 0.244953i
\(326\) 12.6224 3.50459i 0.0387190 0.0107503i
\(327\) 74.2444 220.350i 0.227047 0.673852i
\(328\) 10.8208 + 1.77399i 0.0329904 + 0.00540850i
\(329\) −482.262 + 79.0628i −1.46584 + 0.240312i
\(330\) −5.10850 + 1.72125i −0.0154803 + 0.00521592i
\(331\) 98.1585 + 144.773i 0.296551 + 0.437380i 0.946551 0.322554i \(-0.104541\pi\)
−0.650000 + 0.759934i \(0.725231\pi\)
\(332\) −29.0374 + 62.7634i −0.0874622 + 0.189046i
\(333\) −96.5063 + 126.952i −0.289809 + 0.381237i
\(334\) 4.66305 + 42.8760i 0.0139612 + 0.128371i
\(335\) 301.633 + 83.7480i 0.900397 + 0.249994i
\(336\) 150.152 221.457i 0.446880 0.659098i
\(337\) −37.5317 62.3782i −0.111370 0.185098i 0.796159 0.605087i \(-0.206862\pi\)
−0.907529 + 0.419989i \(0.862034\pi\)
\(338\) 1.55370 0.0842393i 0.00459675 0.000249229i
\(339\) −150.663 159.053i −0.444434 0.469183i
\(340\) 30.7657 23.3875i 0.0904874 0.0687867i
\(341\) −243.938 + 53.6949i −0.715362 + 0.157463i
\(342\) 3.16007 2.68419i 0.00923997 0.00784850i
\(343\) −0.793471 + 14.6347i −0.00231333 + 0.0426668i
\(344\) −22.4518 42.3487i −0.0652670 0.123107i
\(345\) 41.7583 189.710i 0.121038 0.549883i
\(346\) −4.89044 + 2.26256i −0.0141342 + 0.00653919i
\(347\) −283.238 + 470.744i −0.816246 + 1.35661i 0.115427 + 0.993316i \(0.463176\pi\)
−0.931674 + 0.363296i \(0.881651\pi\)
\(348\) −158.225 + 298.445i −0.454671 + 0.857600i
\(349\) 400.999 + 340.612i 1.14899 + 0.975964i 0.999917 0.0128611i \(-0.00409394\pi\)
0.149077 + 0.988826i \(0.452370\pi\)
\(350\) 17.4881 18.4620i 0.0499660 0.0527485i
\(351\) 7.07824 65.0834i 0.0201659 0.185423i
\(352\) 19.4870 48.9086i 0.0553607 0.138945i
\(353\) 523.402i 1.48272i −0.671105 0.741362i \(-0.734180\pi\)
0.671105 0.741362i \(-0.265820\pi\)
\(354\) −11.7077 10.1514i −0.0330725 0.0286763i
\(355\) 228.950 0.644930
\(356\) −345.482 137.653i −0.970455 0.386665i
\(357\) 58.3751 + 6.34868i 0.163516 + 0.0177834i
\(358\) 8.40855 + 7.96500i 0.0234876 + 0.0222486i
\(359\) 303.328 357.106i 0.844925 0.994723i −0.155051 0.987906i \(-0.549554\pi\)
0.999977 0.00681666i \(-0.00216983\pi\)
\(360\) −9.02784 4.78626i −0.0250773 0.0132952i
\(361\) 238.145 + 143.287i 0.659681 + 0.396917i
\(362\) 10.6474 + 23.0139i 0.0294127 + 0.0635744i
\(363\) −114.804 25.2704i −0.316266 0.0696153i
\(364\) 434.903 230.571i 1.19479 0.633436i
\(365\) −61.8291 3.35228i −0.169395 0.00918432i
\(366\) −2.22114 2.61493i −0.00606869 0.00714461i
\(367\) 55.3604 + 251.505i 0.150846 + 0.685299i 0.989960 + 0.141345i \(0.0451426\pi\)
−0.839115 + 0.543954i \(0.816926\pi\)
\(368\) 379.014 + 498.585i 1.02993 + 1.35485i
\(369\) −19.7439 + 18.7024i −0.0535066 + 0.0506841i
\(370\) 1.22878 + 22.6635i 0.00332102 + 0.0612527i
\(371\) 235.575 141.741i 0.634973 0.382051i
\(372\) −195.373 132.466i −0.525197 0.356092i
\(373\) −74.9471 + 269.935i −0.200931 + 0.723686i 0.792562 + 0.609791i \(0.208747\pi\)
−0.993493 + 0.113895i \(0.963667\pi\)
\(374\) 3.79194 0.412398i 0.0101389 0.00110267i
\(375\) 163.349 + 124.174i 0.435597 + 0.331132i
\(376\) −54.6116 25.2660i −0.145244 0.0671968i
\(377\) −511.379 + 346.724i −1.35644 + 0.919692i
\(378\) −2.47154 7.33525i −0.00653845 0.0194054i
\(379\) 101.178 + 617.155i 0.266959 + 1.62838i 0.691084 + 0.722775i \(0.257134\pi\)
−0.424125 + 0.905604i \(0.639418\pi\)
\(380\) −16.5128 + 100.724i −0.0434547 + 0.265062i
\(381\) −42.8100 14.4244i −0.112362 0.0378593i
\(382\) −1.33730 4.81652i −0.00350079 0.0126087i
\(383\) −58.3474 146.441i −0.152343 0.382352i 0.832921 0.553392i \(-0.186667\pi\)
−0.985264 + 0.171039i \(0.945287\pi\)
\(384\) 61.5663 24.5302i 0.160329 0.0638808i
\(385\) 194.284 53.9428i 0.504634 0.140111i
\(386\) −9.07196 + 26.9246i −0.0235025 + 0.0697529i
\(387\) 117.313 + 19.2325i 0.303135 + 0.0496965i
\(388\) 357.149 58.5517i 0.920488 0.150906i
\(389\) 420.442 141.664i 1.08083 0.364174i 0.278121 0.960546i \(-0.410288\pi\)
0.802708 + 0.596372i \(0.203392\pi\)
\(390\) −5.22901 7.71222i −0.0134077 0.0197749i
\(391\) −57.7123 + 124.743i −0.147602 + 0.319036i
\(392\) 34.7768 45.7481i 0.0887164 0.116704i
\(393\) 16.5658 + 152.320i 0.0421521 + 0.387582i
\(394\) 9.40543 + 2.61140i 0.0238716 + 0.00662793i
\(395\) 104.232 153.731i 0.263878 0.389192i
\(396\) 44.8358 + 74.5177i 0.113222 + 0.188176i
\(397\) −700.614 + 37.9862i −1.76477 + 0.0956831i −0.907727 0.419561i \(-0.862184\pi\)
−0.857043 + 0.515244i \(0.827701\pi\)
\(398\) 4.27078 + 4.50861i 0.0107306 + 0.0113282i
\(399\) −123.462 + 93.8532i −0.309428 + 0.235221i
\(400\) −262.160 + 57.7057i −0.655399 + 0.144264i
\(401\) 152.712 129.714i 0.380827 0.323477i −0.436443 0.899732i \(-0.643762\pi\)
0.817270 + 0.576254i \(0.195486\pi\)
\(402\) −1.58077 + 29.1556i −0.00393227 + 0.0725264i
\(403\) −202.231 381.447i −0.501813 0.946520i
\(404\) −70.8722 + 321.976i −0.175426 + 0.796970i
\(405\) 23.0003 10.6411i 0.0567908 0.0262742i
\(406\) −37.6611 + 62.5932i −0.0927612 + 0.154170i
\(407\) 181.490 342.326i 0.445921 0.841096i
\(408\) 5.51047 + 4.68064i 0.0135061 + 0.0114721i
\(409\) 405.034 427.589i 0.990303 1.04545i −0.00866202 0.999962i \(-0.502757\pi\)
0.998965 0.0454876i \(-0.0144841\pi\)
\(410\) −0.418495 + 3.84800i −0.00102072 + 0.00938536i
\(411\) 124.101 311.469i 0.301948 0.757833i
\(412\) 690.043i 1.67486i
\(413\) 416.715 + 402.856i 1.00900 + 0.975439i
\(414\) 18.1183 0.0437641
\(415\) −45.4863 18.1234i −0.109605 0.0436708i
\(416\) 90.4679 + 9.83898i 0.217471 + 0.0236514i
\(417\) −21.2762 20.1539i −0.0510220 0.0483306i
\(418\) −6.52176 + 7.67801i −0.0156023 + 0.0183685i
\(419\) −574.686 304.679i −1.37157 0.727158i −0.390459 0.920620i \(-0.627684\pi\)
−0.981108 + 0.193462i \(0.938028\pi\)
\(420\) 163.273 + 98.2383i 0.388746 + 0.233901i
\(421\) −70.8790 153.202i −0.168359 0.363901i 0.804970 0.593315i \(-0.202181\pi\)
−0.973329 + 0.229414i \(0.926319\pi\)
\(422\) −7.14101 1.57185i −0.0169218 0.00372477i
\(423\) 131.854 69.9046i 0.311712 0.165259i
\(424\) 33.8021 + 1.83270i 0.0797219 + 0.00432239i
\(425\) −38.1384 44.9000i −0.0897374 0.105647i
\(426\) 4.59065 + 20.8555i 0.0107762 + 0.0489567i
\(427\) 77.6626 + 102.163i 0.181880 + 0.239259i
\(428\) −585.960 + 555.051i −1.36907 + 1.29685i
\(429\) 8.61162 + 158.832i 0.0200737 + 0.370238i
\(430\) 14.4979 8.72307i 0.0337159 0.0202862i
\(431\) 409.991 + 277.980i 0.951254 + 0.644966i 0.934904 0.354900i \(-0.115485\pi\)
0.0163499 + 0.999866i \(0.494795\pi\)
\(432\) −21.8591 + 78.7292i −0.0505997 + 0.182244i
\(433\) −642.492 + 69.8752i −1.48381 + 0.161375i −0.813875 0.581041i \(-0.802646\pi\)
−0.669940 + 0.742415i \(0.733680\pi\)
\(434\) −40.6377 30.8919i −0.0936352 0.0711796i
\(435\) −217.063 100.424i −0.498995 0.230860i
\(436\) −441.902 + 299.617i −1.01354 + 0.687195i
\(437\) −115.910 344.010i −0.265241 0.787208i
\(438\) −0.934362 5.69935i −0.00213325 0.0130122i
\(439\) 54.1222 330.131i 0.123285 0.752007i −0.850743 0.525582i \(-0.823848\pi\)
0.974029 0.226425i \(-0.0727039\pi\)
\(440\) 23.5273 + 7.92728i 0.0534712 + 0.0180166i
\(441\) 38.1293 + 137.329i 0.0864610 + 0.311404i
\(442\) 2.44032 + 6.12473i 0.00552108 + 0.0138569i
\(443\) −108.556 + 43.2527i −0.245047 + 0.0976358i −0.489428 0.872043i \(-0.662795\pi\)
0.244381 + 0.969679i \(0.421415\pi\)
\(444\) 352.814 97.9582i 0.794625 0.220627i
\(445\) 84.0762 249.529i 0.188935 0.560740i
\(446\) −28.2635 4.63356i −0.0633711 0.0103892i
\(447\) 52.8248 8.66019i 0.118176 0.0193740i
\(448\) −575.363 + 193.862i −1.28429 + 0.432729i
\(449\) 168.490 + 248.504i 0.375256 + 0.553461i 0.967685 0.252161i \(-0.0811414\pi\)
−0.592429 + 0.805623i \(0.701831\pi\)
\(450\) −3.26075 + 7.04800i −0.00724612 + 0.0156622i
\(451\) 39.9882 52.6036i 0.0886657 0.116638i
\(452\) 54.3883 + 500.092i 0.120328 + 1.10640i
\(453\) 74.7661 + 20.7587i 0.165047 + 0.0458250i
\(454\) 21.0740 31.0818i 0.0464184 0.0684620i
\(455\) 179.682 + 298.634i 0.394906 + 0.656339i
\(456\) −19.0674 + 1.03380i −0.0418145 + 0.00226711i
\(457\) 204.728 + 216.128i 0.447982 + 0.472929i 0.910398 0.413735i \(-0.135776\pi\)
−0.462416 + 0.886663i \(0.653017\pi\)
\(458\) −27.7161 + 21.0692i −0.0605155 + 0.0460027i
\(459\) −17.5124 + 3.85478i −0.0381535 + 0.00839821i
\(460\) −339.944 + 288.751i −0.739008 + 0.627719i
\(461\) 19.0024 350.479i 0.0412200 0.760258i −0.902738 0.430191i \(-0.858446\pi\)
0.943958 0.330066i \(-0.107071\pi\)
\(462\) 8.80933 + 16.6162i 0.0190678 + 0.0359657i
\(463\) −121.246 + 550.827i −0.261871 + 1.18969i 0.643626 + 0.765340i \(0.277429\pi\)
−0.905497 + 0.424352i \(0.860502\pi\)
\(464\) 699.837 323.779i 1.50827 0.697800i
\(465\) 86.1635 143.205i 0.185298 0.307968i
\(466\) −20.8554 + 39.3375i −0.0447541 + 0.0844152i
\(467\) 584.237 + 496.256i 1.25104 + 1.06265i 0.995393 + 0.0958768i \(0.0305655\pi\)
0.255650 + 0.966769i \(0.417710\pi\)
\(468\) −103.376 + 109.132i −0.220888 + 0.233188i
\(469\) 118.081 1085.74i 0.251772 2.31501i
\(470\) 7.86201 19.7322i 0.0167277 0.0419833i
\(471\) 172.033i 0.365252i
\(472\) 14.6318 + 69.8504i 0.0309995 + 0.147988i
\(473\) −288.841 −0.610657
\(474\) 16.0936 + 6.41227i 0.0339527 + 0.0135280i
\(475\) 154.680 + 16.8224i 0.325641 + 0.0354156i
\(476\) −97.8838 92.7205i −0.205638 0.194791i
\(477\) −54.3530 + 63.9893i −0.113948 + 0.134149i
\(478\) 48.5816 + 25.7563i 0.101635 + 0.0538835i
\(479\) 681.961 + 410.322i 1.42372 + 0.856622i 0.998817 0.0486178i \(-0.0154816\pi\)
0.424900 + 0.905240i \(0.360309\pi\)
\(480\) 14.7914 + 31.9711i 0.0308155 + 0.0666065i
\(481\) 654.066 + 143.971i 1.35980 + 0.299315i
\(482\) −17.9106 + 9.49557i −0.0371588 + 0.0197004i
\(483\) −676.706 36.6900i −1.40105 0.0759626i
\(484\) 174.740 + 205.720i 0.361033 + 0.425041i
\(485\) 55.0858 + 250.257i 0.113579 + 0.515994i
\(486\) 1.43049 + 1.88178i 0.00294340 + 0.00387198i
\(487\) 178.225 168.824i 0.365965 0.346660i −0.482515 0.875888i \(-0.660277\pi\)
0.848480 + 0.529227i \(0.177518\pi\)
\(488\) 0.855463 + 15.7781i 0.00175300 + 0.0323321i
\(489\) 128.214 77.1436i 0.262196 0.157758i
\(490\) 16.7898 + 11.3837i 0.0342648 + 0.0232321i
\(491\) 160.266 577.226i 0.326407 1.17561i −0.600283 0.799787i \(-0.704945\pi\)
0.926691 0.375825i \(-0.122641\pi\)
\(492\) 62.0786 6.75145i 0.126176 0.0137225i
\(493\) 134.722 + 102.413i 0.273269 + 0.207734i
\(494\) −15.8035 7.31146i −0.0319908 0.0148005i
\(495\) −50.9648 + 34.5550i −0.102959 + 0.0698080i
\(496\) 172.053 + 510.634i 0.346881 + 1.02951i
\(497\) −129.225 788.235i −0.260009 1.58599i
\(498\) 0.738857 4.50683i 0.00148365 0.00904985i
\(499\) −107.616 36.2600i −0.215663 0.0726654i 0.209396 0.977831i \(-0.432850\pi\)
−0.425059 + 0.905166i \(0.639747\pi\)
\(500\) −126.043 453.964i −0.252085 0.907929i
\(501\) 182.343 + 457.648i 0.363959 + 0.913468i
\(502\) −10.8764 + 4.33355i −0.0216661 + 0.00863257i
\(503\) −610.779 + 169.582i −1.21427 + 0.337141i −0.814875 0.579636i \(-0.803195\pi\)
−0.399398 + 0.916778i \(0.630781\pi\)
\(504\) −11.3827 + 33.7827i −0.0225848 + 0.0670292i
\(505\) −230.351 37.7641i −0.456140 0.0747804i
\(506\) −43.4422 + 7.12198i −0.0858541 + 0.0140751i
\(507\) 16.8428 5.67499i 0.0332204 0.0111933i
\(508\) 58.2102 + 85.8537i 0.114587 + 0.169003i
\(509\) −143.587 + 310.357i −0.282095 + 0.609739i −0.995885 0.0906206i \(-0.971115\pi\)
0.713790 + 0.700360i \(0.246977\pi\)
\(510\) −1.54451 + 2.03176i −0.00302844 + 0.00398385i
\(511\) 23.3564 + 214.759i 0.0457073 + 0.420271i
\(512\) −182.745 50.7389i −0.356924 0.0990994i
\(513\) 26.5776 39.1990i 0.0518082 0.0764113i
\(514\) 3.56564 + 5.92613i 0.00693703 + 0.0115294i
\(515\) −487.855 + 26.4507i −0.947291 + 0.0513606i
\(516\) −187.716 198.169i −0.363790 0.384049i
\(517\) −288.667 + 219.439i −0.558350 + 0.424447i
\(518\) 77.3328 17.0222i 0.149291 0.0328615i
\(519\) −46.9106 + 39.8463i −0.0903866 + 0.0767751i
\(520\) −2.32328 + 42.8503i −0.00446784 + 0.0824044i
\(521\) 330.897 + 624.139i 0.635120 + 1.19796i 0.967033 + 0.254653i \(0.0819611\pi\)
−0.331913 + 0.943310i \(0.607694\pi\)
\(522\) 4.79553 21.7863i 0.00918684 0.0417362i
\(523\) 849.655 393.092i 1.62458 0.751610i 0.625000 0.780625i \(-0.285099\pi\)
0.999579 + 0.0290142i \(0.00923682\pi\)
\(524\) 181.376 301.449i 0.346137 0.575284i
\(525\) 136.059 256.635i 0.259160 0.488828i
\(526\) −54.4533 46.2530i −0.103523 0.0879335i
\(527\) −81.3239 + 85.8526i −0.154315 + 0.162908i
\(528\) 21.4643 197.361i 0.0406520 0.373789i
\(529\) 391.354 982.224i 0.739800 1.85676i
\(530\) 11.9495i 0.0225462i
\(531\) −159.876 75.9509i −0.301086 0.143034i
\(532\) 356.094 0.669349
\(533\) 106.102 + 42.2750i 0.199066 + 0.0793152i
\(534\) 24.4159 + 2.65539i 0.0457228 + 0.00497265i
\(535\) −414.877 392.993i −0.775471 0.734565i
\(536\) 87.0567 102.491i 0.162419 0.191215i
\(537\) 116.885 + 61.9684i 0.217663 + 0.115397i
\(538\) 2.22019 + 1.33585i 0.00412675 + 0.00248298i
\(539\) −145.404 314.285i −0.269766 0.583089i
\(540\) −56.8293 12.5091i −0.105239 0.0231649i
\(541\) −134.230 + 71.1640i −0.248114 + 0.131542i −0.587825 0.808988i \(-0.700016\pi\)
0.339711 + 0.940530i \(0.389671\pi\)
\(542\) 75.3753 + 4.08673i 0.139069 + 0.00754010i
\(543\) 187.513 + 220.757i 0.345327 + 0.406550i
\(544\) −5.35826 24.3428i −0.00984975 0.0447479i
\(545\) −228.766 300.936i −0.419753 0.552176i
\(546\) −23.6004 + 22.3555i −0.0432242 + 0.0409442i
\(547\) −2.68370 49.4979i −0.00490621 0.0904898i 0.995055 0.0993282i \(-0.0316694\pi\)
−0.999961 + 0.00883841i \(0.997187\pi\)
\(548\) −659.652 + 396.899i −1.20374 + 0.724269i
\(549\) −32.4368 21.9927i −0.0590834 0.0400596i
\(550\) 5.04784 18.1807i 0.00917789 0.0330558i
\(551\) −444.332 + 48.3240i −0.806410 + 0.0877023i
\(552\) −66.4296 50.4985i −0.120343 0.0914827i
\(553\) −588.098 272.083i −1.06347 0.492013i
\(554\) −36.7193 + 24.8963i −0.0662804 + 0.0449392i
\(555\) 82.7797 + 245.681i 0.149153 + 0.442669i
\(556\) 10.8864 + 66.4043i 0.0195799 + 0.119432i
\(557\) −65.8877 + 401.897i −0.118290 + 0.721539i 0.859371 + 0.511352i \(0.170855\pi\)
−0.977661 + 0.210186i \(0.932593\pi\)
\(558\) 14.7725 + 4.97743i 0.0264740 + 0.00892013i
\(559\) −133.566 481.062i −0.238938 0.860576i
\(560\) −161.003 404.087i −0.287505 0.721583i
\(561\) 40.4741 16.1264i 0.0721464 0.0287458i
\(562\) 13.6597 3.79258i 0.0243054 0.00674837i
\(563\) −139.419 + 413.780i −0.247636 + 0.734956i 0.749685 + 0.661795i \(0.230205\pi\)
−0.997320 + 0.0731608i \(0.976691\pi\)
\(564\) −338.157 55.4379i −0.599568 0.0982942i
\(565\) −351.476 + 57.6216i −0.622082 + 0.101985i
\(566\) 10.5244 3.54609i 0.0185944 0.00626517i
\(567\) −49.6172 73.1799i −0.0875082 0.129065i
\(568\) 41.2961 89.2601i 0.0727045 0.157148i
\(569\) 392.017 515.690i 0.688958 0.906309i −0.310055 0.950719i \(-0.600347\pi\)
0.999013 + 0.0444093i \(0.0141406\pi\)
\(570\) −0.728784 6.70106i −0.00127857 0.0117562i
\(571\) −144.181 40.0317i −0.252506 0.0701081i 0.138969 0.990297i \(-0.455621\pi\)
−0.391475 + 0.920189i \(0.628035\pi\)
\(572\) 204.965 302.300i 0.358330 0.528497i
\(573\) −29.4369 48.9245i −0.0513733 0.0853830i
\(574\) 13.4842 0.731092i 0.0234916 0.00127368i
\(575\) 467.578 + 493.616i 0.813179 + 0.858463i
\(576\) 147.603 112.205i 0.256256 0.194801i
\(577\) 181.958 40.0520i 0.315352 0.0694142i −0.0544742 0.998515i \(-0.517348\pi\)
0.369826 + 0.929101i \(0.379417\pi\)
\(578\) −32.0237 + 27.2012i −0.0554043 + 0.0470609i
\(579\) −17.5699 + 324.057i −0.0303452 + 0.559684i
\(580\) 257.231 + 485.189i 0.443502 + 0.836533i
\(581\) −36.7221 + 166.830i −0.0632051 + 0.287144i
\(582\) −21.6919 + 10.0358i −0.0372714 + 0.0172436i
\(583\) 105.169 174.792i 0.180392 0.299814i
\(584\) −12.4592 + 23.5005i −0.0213342 + 0.0402405i
\(585\) −81.1181 68.9024i −0.138663 0.117782i
\(586\) 1.42302 1.50226i 0.00242835 0.00256358i
\(587\) −7.76261 + 71.3760i −0.0132242 + 0.121595i −0.998889 0.0471193i \(-0.984996\pi\)
0.985665 + 0.168714i \(0.0539614\pi\)
\(588\) 121.129 304.011i 0.206002 0.517026i
\(589\) 312.325i 0.530263i
\(590\) −24.3410 + 6.49226i −0.0412560 + 0.0110038i
\(591\) 111.497 0.188658
\(592\) −776.495 309.384i −1.31165 0.522608i
\(593\) 1033.78 + 112.431i 1.74331 + 0.189597i 0.923647 0.383244i \(-0.125193\pi\)
0.819666 + 0.572841i \(0.194159\pi\)
\(594\) −4.16957 3.94963i −0.00701948 0.00664920i
\(595\) 61.8005 72.7572i 0.103866 0.122281i
\(596\) −108.594 57.5728i −0.182204 0.0965987i
\(597\) 60.7821 + 36.5714i 0.101813 + 0.0612586i
\(598\) −31.9502 69.0592i −0.0534284 0.115484i
\(599\) −488.503 107.528i −0.815531 0.179512i −0.212430 0.977176i \(-0.568138\pi\)
−0.603102 + 0.797664i \(0.706069\pi\)
\(600\) 31.5991 16.7528i 0.0526652 0.0279213i
\(601\) −768.259 41.6538i −1.27830 0.0693075i −0.597556 0.801827i \(-0.703861\pi\)
−0.680746 + 0.732520i \(0.738344\pi\)
\(602\) −38.2149 44.9901i −0.0634799 0.0747343i
\(603\) 71.6963 + 325.720i 0.118899 + 0.540165i
\(604\) −107.822 141.837i −0.178513 0.234830i
\(605\) −138.744 + 131.425i −0.229329 + 0.217232i
\(606\) −1.17873 21.7403i −0.00194509 0.0358752i
\(607\) 639.318 384.665i 1.05324 0.633715i 0.119931 0.992782i \(-0.461733\pi\)
0.933312 + 0.359067i \(0.116905\pi\)
\(608\) 54.4879 + 36.9437i 0.0896182 + 0.0607627i
\(609\) −223.227 + 803.991i −0.366547 + 1.32018i
\(610\) −5.54506 + 0.603062i −0.00909026 + 0.000988626i
\(611\) −498.959 379.299i −0.816628 0.620784i
\(612\) 37.3679 + 17.2882i 0.0610587 + 0.0282488i
\(613\) −256.029 + 173.592i −0.417665 + 0.283184i −0.751864 0.659319i \(-0.770845\pi\)
0.334198 + 0.942503i \(0.391534\pi\)
\(614\) 13.6523 + 40.5187i 0.0222351 + 0.0659913i
\(615\) 7.15282 + 43.6303i 0.0116306 + 0.0709435i
\(616\) 14.0129 85.4748i 0.0227482 0.138758i
\(617\) 555.750 + 187.254i 0.900730 + 0.303491i 0.731304 0.682052i \(-0.238912\pi\)
0.169426 + 0.985543i \(0.445809\pi\)
\(618\) −12.1914 43.9093i −0.0197271 0.0710507i
\(619\) −316.291 793.829i −0.510970 1.28244i −0.927672 0.373395i \(-0.878193\pi\)
0.416702 0.909043i \(-0.363186\pi\)
\(620\) −356.492 + 142.039i −0.574987 + 0.229096i
\(621\) 199.412 55.3665i 0.321114 0.0891570i
\(622\) 18.5913 55.1770i 0.0298895 0.0887090i
\(623\) −906.540 148.620i −1.45512 0.238555i
\(624\) 338.628 55.5152i 0.542673 0.0889667i
\(625\) −88.3182 + 29.7579i −0.141309 + 0.0476126i
\(626\) −22.2828 32.8647i −0.0355956 0.0524996i
\(627\) −48.3164 + 104.434i −0.0770597 + 0.166562i
\(628\) 239.050 314.465i 0.380653 0.500741i
\(629\) −19.8333 182.364i −0.0315315 0.289927i
\(630\) −12.1252 3.36653i −0.0192463 0.00534370i
\(631\) −135.388 + 199.682i −0.214560 + 0.316453i −0.919705 0.392611i \(-0.871572\pi\)
0.705144 + 0.709064i \(0.250882\pi\)
\(632\) −41.1340 68.3653i −0.0650855 0.108173i
\(633\) −83.3978 + 4.52170i −0.131750 + 0.00714328i
\(634\) −7.88453 8.32359i −0.0124362 0.0131287i
\(635\) −58.4665 + 44.4451i −0.0920732 + 0.0699923i
\(636\) 188.270 41.4414i 0.296022 0.0651594i
\(637\) 456.201 387.501i 0.716171 0.608321i
\(638\) −2.93440 + 54.1219i −0.00459938 + 0.0848305i
\(639\) 114.256 + 215.510i 0.178804 + 0.337261i
\(640\) 23.1614 105.223i 0.0361896 0.164411i
\(641\) 80.9284 37.4415i 0.126253 0.0584110i −0.355745 0.934583i \(-0.615773\pi\)
0.481999 + 0.876172i \(0.339911\pi\)
\(642\) 27.4798 45.6719i 0.0428035 0.0711400i
\(643\) 442.972 835.533i 0.688914 1.29943i −0.254262 0.967135i \(-0.581833\pi\)
0.943176 0.332294i \(-0.107823\pi\)
\(644\) 1185.99 + 1007.39i 1.84160 + 1.56427i
\(645\) 132.908 140.310i 0.206060 0.217534i
\(646\) −0.515667 + 4.74148i −0.000798245 + 0.00733975i
\(647\) 390.115 979.115i 0.602960 1.51332i −0.237469 0.971395i \(-0.576318\pi\)
0.840429 0.541921i \(-0.182303\pi\)
\(648\) 10.8864i 0.0168000i
\(649\) 413.189 + 119.262i 0.636655 + 0.183763i
\(650\) 32.6140 0.0501753
\(651\) −541.662 215.818i −0.832046 0.331517i
\(652\) −341.561 37.1470i −0.523867 0.0569739i
\(653\) 830.960 + 787.127i 1.27253 + 1.20540i 0.967447 + 0.253075i \(0.0814421\pi\)
0.305081 + 0.952326i \(0.401317\pi\)
\(654\) 22.8259 26.8728i 0.0349020 0.0410898i
\(655\) 220.074 + 116.676i 0.335991 + 0.178131i
\(656\) −122.142 73.4907i −0.186193 0.112028i
\(657\) −27.6999 59.8723i −0.0421612 0.0911299i
\(658\) −72.3719 15.9303i −0.109988 0.0242101i
\(659\) −1006.30 + 533.507i −1.52701 + 0.809571i −0.999208 0.0397951i \(-0.987329\pi\)
−0.527805 + 0.849366i \(0.676985\pi\)
\(660\) 141.176 + 7.65434i 0.213903 + 0.0115975i
\(661\) −537.454 632.740i −0.813092 0.957246i 0.186590 0.982438i \(-0.440256\pi\)
−0.999683 + 0.0251914i \(0.991980\pi\)
\(662\) 5.70166 + 25.9029i 0.00861277 + 0.0391282i
\(663\) 45.5744 + 59.9521i 0.0687397 + 0.0904255i
\(664\) −15.2702 + 14.4647i −0.0229972 + 0.0217841i
\(665\) 13.6498 + 251.755i 0.0205260 + 0.378579i
\(666\) −20.7198 + 12.4667i −0.0311108 + 0.0187188i
\(667\) −1616.58 1096.07i −2.42366 1.64328i
\(668\) 302.616 1089.92i 0.453018 1.63162i
\(669\) −325.230 + 35.3709i −0.486143 + 0.0528712i
\(670\) 37.7895 + 28.7268i 0.0564022 + 0.0428758i
\(671\) 86.4183 + 39.9814i 0.128790 + 0.0595848i
\(672\) 101.722 68.9695i 0.151373 0.102633i
\(673\) 262.997 + 780.547i 0.390783 + 1.15980i 0.944899 + 0.327363i \(0.106160\pi\)
−0.554115 + 0.832440i \(0.686943\pi\)
\(674\) −1.78590 10.8935i −0.00264970 0.0161624i
\(675\) −14.3507 + 87.5352i −0.0212603 + 0.129682i
\(676\) −38.6731 13.0305i −0.0572087 0.0192759i
\(677\) −167.728 604.101i −0.247752 0.892321i −0.977907 0.209040i \(-0.932966\pi\)
0.730155 0.683281i \(-0.239448\pi\)
\(678\) −12.2963 30.8613i −0.0181361 0.0455182i
\(679\) 830.500 330.901i 1.22312 0.487336i
\(680\) 11.3256 3.14455i 0.0166554 0.00462434i
\(681\) 136.961 406.487i 0.201118 0.596897i
\(682\) −37.3764 6.12755i −0.0548041 0.00898467i
\(683\) −1087.21 + 178.238i −1.59181 + 0.260964i −0.891549 0.452924i \(-0.850381\pi\)
−0.700260 + 0.713888i \(0.746933\pi\)
\(684\) −103.051 + 34.7220i −0.150660 + 0.0507631i
\(685\) −305.890 451.154i −0.446555 0.658619i
\(686\) −0.933164 + 2.01700i −0.00136030 + 0.00294024i
\(687\) −240.662 + 316.585i −0.350309 + 0.460823i
\(688\) 67.3701 + 619.458i 0.0979217 + 0.900375i
\(689\) 339.746 + 94.3300i 0.493100 + 0.136909i
\(690\) 16.5300 24.3800i 0.0239566 0.0353333i
\(691\) 102.567 + 170.468i 0.148433 + 0.246698i 0.922149 0.386835i \(-0.126432\pi\)
−0.773716 + 0.633533i \(0.781604\pi\)
\(692\) 141.118 7.65119i 0.203928 0.0110566i
\(693\) 147.732 + 155.959i 0.213178 + 0.225049i
\(694\) −66.3197 + 50.4149i −0.0955615 + 0.0726440i
\(695\) −46.5300 + 10.2420i −0.0669496 + 0.0147367i
\(696\) −78.3041 + 66.5121i −0.112506 + 0.0955634i
\(697\) 1.69366 31.2377i 0.00242993 0.0448174i
\(698\) 37.3700 + 70.4872i 0.0535386 + 0.100985i
\(699\) −109.328 + 496.682i −0.156406 + 0.710561i
\(700\) −605.314 + 280.048i −0.864735 + 0.400069i
\(701\) −45.5353 + 75.6803i −0.0649576 + 0.107960i −0.887634 0.460550i \(-0.847652\pi\)
0.822676 + 0.568510i \(0.192480\pi\)
\(702\) 4.64997 8.77077i 0.00662389 0.0124940i
\(703\) 369.256 + 313.649i 0.525257 + 0.446158i
\(704\) −309.801 + 327.053i −0.440059 + 0.464564i
\(705\) 26.2320 241.199i 0.0372084 0.342126i
\(706\) 29.3766 73.7296i 0.0416099 0.104433i
\(707\) 814.372i 1.15187i
\(708\) 186.705 + 360.990i 0.263707 + 0.509873i
\(709\) −184.163 −0.259751 −0.129875 0.991530i \(-0.541458\pi\)
−0.129875 + 0.991530i \(0.541458\pi\)
\(710\) 32.2513 + 12.8501i 0.0454244 + 0.0180987i
\(711\) 196.722 + 21.3948i 0.276684 + 0.0300912i
\(712\) −82.1183 77.7866i −0.115335 0.109251i
\(713\) 883.567 1040.22i 1.23922 1.45893i
\(714\) 7.86676 + 4.17069i 0.0110179 + 0.00584130i
\(715\) 221.580 + 133.320i 0.309903 + 0.186462i
\(716\) −127.549 275.692i −0.178141 0.385045i
\(717\) 613.400 + 135.020i 0.855509 + 0.188312i
\(718\) 62.7717 33.2794i 0.0874258 0.0463502i
\(719\) 809.889 + 43.9109i 1.12641 + 0.0610722i 0.607910 0.794006i \(-0.292008\pi\)
0.518500 + 0.855078i \(0.326491\pi\)
\(720\) 85.9949 + 101.241i 0.119437 + 0.140612i
\(721\) 366.421 + 1664.67i 0.508213 + 2.30883i
\(722\) 25.5044 + 33.5505i 0.0353247 + 0.0464688i
\(723\) −168.108 + 159.241i −0.232515 + 0.220250i
\(724\) −36.0058 664.087i −0.0497317 0.917248i
\(725\) 717.304 431.587i 0.989385 0.595293i
\(726\) −14.7537 10.0033i −0.0203220 0.0137786i
\(727\) −261.228 + 940.857i −0.359323 + 1.29416i 0.534281 + 0.845307i \(0.320582\pi\)
−0.893604 + 0.448857i \(0.851831\pi\)
\(728\) 148.837 16.1870i 0.204447 0.0222349i
\(729\) 21.4945 + 16.3397i 0.0294849 + 0.0224139i
\(730\) −8.52148 3.94246i −0.0116733 0.00540062i
\(731\) −113.186 + 76.7418i −0.154837 + 0.104982i
\(732\) 28.7321 + 85.2739i 0.0392515 + 0.116494i
\(733\) −88.2933 538.565i −0.120455 0.734741i −0.976123 0.217217i \(-0.930302\pi\)
0.855669 0.517524i \(-0.173146\pi\)
\(734\) −6.31761 + 38.5357i −0.00860709 + 0.0525009i
\(735\) 219.576 + 73.9839i 0.298743 + 0.100658i
\(736\) 76.9612 + 277.189i 0.104567 + 0.376616i
\(737\) −299.940 752.792i −0.406974 1.02143i
\(738\) −3.83095 + 1.52639i −0.00519099 + 0.00206828i
\(739\) 198.667 55.1597i 0.268833 0.0746410i −0.130496 0.991449i \(-0.541657\pi\)
0.399329 + 0.916808i \(0.369243\pi\)
\(740\) 190.073 564.115i 0.256855 0.762318i
\(741\) −196.277 32.1779i −0.264881 0.0434250i
\(742\) 41.1399 6.74455i 0.0554446 0.00908969i
\(743\) −825.429 + 278.119i −1.11094 + 0.374319i −0.814168 0.580629i \(-0.802807\pi\)
−0.296772 + 0.954948i \(0.595910\pi\)
\(744\) −40.2894 59.4225i −0.0541525 0.0798689i
\(745\) 36.5409 78.9818i 0.0490482 0.106016i
\(746\) −25.7080 + 33.8182i −0.0344611 + 0.0453328i
\(747\) −5.64015 51.8603i −0.00755040 0.0694248i
\(748\) −96.3924 26.7632i −0.128867 0.0357797i
\(749\) −1118.84 + 1650.16i −1.49378 + 2.20315i
\(750\) 16.0409 + 26.6601i 0.0213878 + 0.0355468i
\(751\) 959.801 52.0389i 1.27803 0.0692928i 0.597414 0.801933i \(-0.296195\pi\)
0.680616 + 0.732640i \(0.261712\pi\)
\(752\) 537.946 + 567.902i 0.715353 + 0.755189i
\(753\) −106.464 + 80.9318i −0.141386 + 0.107479i
\(754\) −91.4964 + 20.1399i −0.121348 + 0.0267107i
\(755\) 96.1446 81.6660i 0.127344 0.108167i
\(756\) −10.9908 + 202.714i −0.0145381 + 0.268140i
\(757\) 106.722 + 201.298i 0.140980 + 0.265916i 0.943940 0.330116i \(-0.107088\pi\)
−0.802961 + 0.596032i \(0.796743\pi\)
\(758\) −20.3861 + 92.6151i −0.0268946 + 0.122183i
\(759\) −456.365 + 211.137i −0.601271 + 0.278178i
\(760\) −16.0048 + 26.6002i −0.0210589 + 0.0350002i
\(761\) −54.6605 + 103.101i −0.0718272 + 0.135481i −0.916825 0.399289i \(-0.869257\pi\)
0.844998 + 0.534770i \(0.179602\pi\)
\(762\) −5.22090 4.43467i −0.00685157 0.00581978i
\(763\) −906.949 + 957.454i −1.18866 + 1.25485i
\(764\) −14.1748 + 130.335i −0.0185533 + 0.170595i
\(765\) −10.7903 + 27.0815i −0.0141049 + 0.0354007i
\(766\) 23.9034i 0.0312055i
\(767\) −7.56275 + 743.312i −0.00986017 + 0.969116i
\(768\) −418.136 −0.544447
\(769\) 427.950 + 170.511i 0.556502 + 0.221731i 0.631396 0.775461i \(-0.282482\pi\)
−0.0748935 + 0.997192i \(0.523862\pi\)
\(770\) 30.3957 + 3.30573i 0.0394749 + 0.00429316i
\(771\) 57.3529 + 54.3276i 0.0743877 + 0.0704638i
\(772\) 482.412 567.939i 0.624886 0.735673i
\(773\) −539.323 285.931i −0.697701 0.369898i 0.0814985