Properties

Label 770.2.bd.a.527.3
Level $770$
Weight $2$
Character 770.527
Analytic conductor $6.148$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.bd (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(48\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 527.3
Character \(\chi\) \(=\) 770.527
Dual form 770.2.bd.a.263.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 - 0.965926i) q^{2} +(-2.59645 - 0.695717i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(2.04774 - 0.898208i) q^{5} +2.68804i q^{6} +(1.70855 - 2.02011i) q^{7} +(0.707107 + 0.707107i) q^{8} +(3.65945 + 2.11279i) q^{9} +O(q^{10})\) \(q+(-0.258819 - 0.965926i) q^{2} +(-2.59645 - 0.695717i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(2.04774 - 0.898208i) q^{5} +2.68804i q^{6} +(1.70855 - 2.02011i) q^{7} +(0.707107 + 0.707107i) q^{8} +(3.65945 + 2.11279i) q^{9} +(-1.39760 - 1.74549i) q^{10} +(-1.11436 + 3.12381i) q^{11} +(2.59645 - 0.695717i) q^{12} +(3.20138 + 3.20138i) q^{13} +(-2.39348 - 1.12749i) q^{14} +(-5.94174 + 0.907507i) q^{15} +(0.500000 - 0.866025i) q^{16} +(2.55460 + 0.684504i) q^{17} +(1.09366 - 4.08159i) q^{18} +(-2.02033 + 3.49931i) q^{19} +(-1.32429 + 1.80174i) q^{20} +(-5.84160 + 4.05644i) q^{21} +(3.30579 + 0.267890i) q^{22} +(1.69515 + 6.32637i) q^{23} +(-1.34402 - 2.32791i) q^{24} +(3.38645 - 3.67858i) q^{25} +(2.26372 - 3.92088i) q^{26} +(-2.32948 - 2.32948i) q^{27} +(-0.469598 + 2.60374i) q^{28} -2.16677 q^{29} +(2.41442 + 5.50440i) q^{30} +(4.73942 + 8.20892i) q^{31} +(-0.965926 - 0.258819i) q^{32} +(5.06667 - 7.33554i) q^{33} -2.64472i q^{34} +(1.68419 - 5.67129i) q^{35} -4.22557 q^{36} +(6.06455 - 1.62499i) q^{37} +(3.90297 + 1.04580i) q^{38} +(-6.08497 - 10.5395i) q^{39} +(2.08310 + 0.812839i) q^{40} -6.53792i q^{41} +(5.43014 + 4.59267i) q^{42} +(-7.25627 - 7.25627i) q^{43} +(-0.596839 - 3.26248i) q^{44} +(9.39131 + 1.03948i) q^{45} +(5.67207 - 3.27477i) q^{46} +(4.70990 - 1.26201i) q^{47} +(-1.90073 + 1.90073i) q^{48} +(-1.16168 - 6.90293i) q^{49} +(-4.42972 - 2.31897i) q^{50} +(-6.15668 - 3.55456i) q^{51} +(-4.37317 - 1.17179i) q^{52} +(6.49482 + 1.74028i) q^{53} +(-1.64719 + 2.85302i) q^{54} +(0.523909 + 7.39767i) q^{55} +(2.63656 - 0.220302i) q^{56} +(7.68021 - 7.68021i) q^{57} +(0.560800 + 2.09293i) q^{58} +(-3.24450 + 1.87322i) q^{59} +(4.69195 - 3.75679i) q^{60} +(-1.95267 - 1.12738i) q^{61} +(6.70256 - 6.70256i) q^{62} +(10.5204 - 3.78268i) q^{63} +1.00000i q^{64} +(9.43109 + 3.68008i) q^{65} +(-8.39694 - 2.99546i) q^{66} +(0.801143 - 2.98991i) q^{67} +(-2.55460 + 0.684504i) q^{68} -17.6054i q^{69} +(-5.91394 - 0.158968i) q^{70} -5.47033 q^{71} +(1.09366 + 4.08159i) q^{72} +(-1.19806 + 4.47121i) q^{73} +(-3.13924 - 5.43733i) q^{74} +(-11.3520 + 7.19525i) q^{75} -4.04066i q^{76} +(4.40649 + 7.58834i) q^{77} +(-8.60545 + 8.60545i) q^{78} +(2.19338 - 3.79904i) q^{79} +(0.245997 - 2.22250i) q^{80} +(-1.91063 - 3.30931i) q^{81} +(-6.31515 + 1.69214i) q^{82} +(5.64995 + 5.64995i) q^{83} +(3.03075 - 6.43378i) q^{84} +(5.84598 - 0.892881i) q^{85} +(-5.13096 + 8.88708i) q^{86} +(5.62590 + 1.50745i) q^{87} +(-2.99684 + 1.42089i) q^{88} +(15.0601 + 8.69497i) q^{89} +(-1.42659 - 9.34035i) q^{90} +(11.9369 - 0.997403i) q^{91} +(-4.63123 - 4.63123i) q^{92} +(-6.59459 - 24.6113i) q^{93} +(-2.43803 - 4.22278i) q^{94} +(-0.993991 + 8.98034i) q^{95} +(2.32791 + 1.34402i) q^{96} +(5.74983 + 5.74983i) q^{97} +(-6.36706 + 2.90871i) q^{98} +(-10.6779 + 9.07703i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q + 8 q^{5}+O(q^{10}) \) Copy content Toggle raw display \( 192 q + 8 q^{5} + 4 q^{11} + 16 q^{15} + 96 q^{16} + 24 q^{22} - 8 q^{23} + 24 q^{25} - 8 q^{26} - 16 q^{33} - 160 q^{36} - 40 q^{37} - 40 q^{42} + 32 q^{45} - 40 q^{47} + 40 q^{53} + 8 q^{55} + 16 q^{56} + 32 q^{58} - 48 q^{67} - 72 q^{70} + 32 q^{71} - 48 q^{75} - 72 q^{77} - 8 q^{80} + 64 q^{81} + 16 q^{82} - 12 q^{88} - 112 q^{91} - 16 q^{92} + 80 q^{93} - 64 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 0.965926i −0.183013 0.683013i
\(3\) −2.59645 0.695717i −1.49906 0.401672i −0.586275 0.810112i \(-0.699406\pi\)
−0.912785 + 0.408440i \(0.866073\pi\)
\(4\) −0.866025 + 0.500000i −0.433013 + 0.250000i
\(5\) 2.04774 0.898208i 0.915775 0.401691i
\(6\) 2.68804i 1.09739i
\(7\) 1.70855 2.02011i 0.645773 0.763529i
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) 3.65945 + 2.11279i 1.21982 + 0.704262i
\(10\) −1.39760 1.74549i −0.441958 0.551972i
\(11\) −1.11436 + 3.12381i −0.335993 + 0.941864i
\(12\) 2.59645 0.695717i 0.749530 0.200836i
\(13\) 3.20138 + 3.20138i 0.887904 + 0.887904i 0.994322 0.106418i \(-0.0339381\pi\)
−0.106418 + 0.994322i \(0.533938\pi\)
\(14\) −2.39348 1.12749i −0.639685 0.301336i
\(15\) −5.94174 + 0.907507i −1.53415 + 0.234317i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 2.55460 + 0.684504i 0.619582 + 0.166017i 0.554938 0.831892i \(-0.312742\pi\)
0.0646443 + 0.997908i \(0.479409\pi\)
\(18\) 1.09366 4.08159i 0.257778 0.962040i
\(19\) −2.02033 + 3.49931i −0.463495 + 0.802797i −0.999132 0.0416513i \(-0.986738\pi\)
0.535637 + 0.844448i \(0.320071\pi\)
\(20\) −1.32429 + 1.80174i −0.296120 + 0.402881i
\(21\) −5.84160 + 4.05644i −1.27474 + 0.885188i
\(22\) 3.30579 + 0.267890i 0.704796 + 0.0571144i
\(23\) 1.69515 + 6.32637i 0.353462 + 1.31914i 0.882408 + 0.470484i \(0.155921\pi\)
−0.528946 + 0.848656i \(0.677413\pi\)
\(24\) −1.34402 2.32791i −0.274347 0.475183i
\(25\) 3.38645 3.67858i 0.677289 0.735717i
\(26\) 2.26372 3.92088i 0.443952 0.768947i
\(27\) −2.32948 2.32948i −0.448310 0.448310i
\(28\) −0.469598 + 2.60374i −0.0887456 + 0.492061i
\(29\) −2.16677 −0.402358 −0.201179 0.979554i \(-0.564477\pi\)
−0.201179 + 0.979554i \(0.564477\pi\)
\(30\) 2.41442 + 5.50440i 0.440811 + 1.00496i
\(31\) 4.73942 + 8.20892i 0.851225 + 1.47437i 0.880103 + 0.474783i \(0.157473\pi\)
−0.0288777 + 0.999583i \(0.509193\pi\)
\(32\) −0.965926 0.258819i −0.170753 0.0457532i
\(33\) 5.06667 7.33554i 0.881995 1.27695i
\(34\) 2.64472i 0.453566i
\(35\) 1.68419 5.67129i 0.284680 0.958622i
\(36\) −4.22557 −0.704262
\(37\) 6.06455 1.62499i 0.997006 0.267147i 0.276816 0.960923i \(-0.410721\pi\)
0.720191 + 0.693776i \(0.244054\pi\)
\(38\) 3.90297 + 1.04580i 0.633146 + 0.169651i
\(39\) −6.08497 10.5395i −0.974376 1.68767i
\(40\) 2.08310 + 0.812839i 0.329367 + 0.128521i
\(41\) 6.53792i 1.02105i −0.859862 0.510526i \(-0.829451\pi\)
0.859862 0.510526i \(-0.170549\pi\)
\(42\) 5.43014 + 4.59267i 0.837889 + 0.708664i
\(43\) −7.25627 7.25627i −1.10657 1.10657i −0.993598 0.112972i \(-0.963963\pi\)
−0.112972 0.993598i \(-0.536037\pi\)
\(44\) −0.596839 3.26248i −0.0899768 0.491838i
\(45\) 9.39131 + 1.03948i 1.39997 + 0.154956i
\(46\) 5.67207 3.27477i 0.836301 0.482839i
\(47\) 4.70990 1.26201i 0.687010 0.184084i 0.101605 0.994825i \(-0.467602\pi\)
0.585405 + 0.810741i \(0.300936\pi\)
\(48\) −1.90073 + 1.90073i −0.274347 + 0.274347i
\(49\) −1.16168 6.90293i −0.165954 0.986133i
\(50\) −4.42972 2.31897i −0.626457 0.327952i
\(51\) −6.15668 3.55456i −0.862107 0.497738i
\(52\) −4.37317 1.17179i −0.606450 0.162498i
\(53\) 6.49482 + 1.74028i 0.892132 + 0.239046i 0.675634 0.737237i \(-0.263870\pi\)
0.216498 + 0.976283i \(0.430536\pi\)
\(54\) −1.64719 + 2.85302i −0.224155 + 0.388247i
\(55\) 0.523909 + 7.39767i 0.0706439 + 0.997502i
\(56\) 2.63656 0.220302i 0.352326 0.0294391i
\(57\) 7.68021 7.68021i 1.01727 1.01727i
\(58\) 0.560800 + 2.09293i 0.0736367 + 0.274816i
\(59\) −3.24450 + 1.87322i −0.422399 + 0.243872i −0.696103 0.717942i \(-0.745084\pi\)
0.273704 + 0.961814i \(0.411751\pi\)
\(60\) 4.69195 3.75679i 0.605728 0.485000i
\(61\) −1.95267 1.12738i −0.250014 0.144346i 0.369757 0.929129i \(-0.379441\pi\)
−0.619771 + 0.784783i \(0.712774\pi\)
\(62\) 6.70256 6.70256i 0.851225 0.851225i
\(63\) 10.5204 3.78268i 1.32545 0.476573i
\(64\) 1.00000i 0.125000i
\(65\) 9.43109 + 3.68008i 1.16978 + 0.456458i
\(66\) −8.39694 2.99546i −1.03359 0.368715i
\(67\) 0.801143 2.98991i 0.0978752 0.365275i −0.899564 0.436788i \(-0.856116\pi\)
0.997440 + 0.0715127i \(0.0227826\pi\)
\(68\) −2.55460 + 0.684504i −0.309791 + 0.0830083i
\(69\) 17.6054i 2.11945i
\(70\) −5.91394 0.158968i −0.706851 0.0190003i
\(71\) −5.47033 −0.649209 −0.324605 0.945850i \(-0.605231\pi\)
−0.324605 + 0.945850i \(0.605231\pi\)
\(72\) 1.09366 + 4.08159i 0.128889 + 0.481020i
\(73\) −1.19806 + 4.47121i −0.140222 + 0.523315i 0.859700 + 0.510800i \(0.170651\pi\)
−0.999922 + 0.0125156i \(0.996016\pi\)
\(74\) −3.13924 5.43733i −0.364930 0.632077i
\(75\) −11.3520 + 7.19525i −1.31081 + 0.830836i
\(76\) 4.04066i 0.463495i
\(77\) 4.40649 + 7.58834i 0.502166 + 0.864771i
\(78\) −8.60545 + 8.60545i −0.974376 + 0.974376i
\(79\) 2.19338 3.79904i 0.246774 0.427426i −0.715855 0.698249i \(-0.753963\pi\)
0.962629 + 0.270824i \(0.0872960\pi\)
\(80\) 0.245997 2.22250i 0.0275033 0.248483i
\(81\) −1.91063 3.30931i −0.212292 0.367701i
\(82\) −6.31515 + 1.69214i −0.697391 + 0.186865i
\(83\) 5.64995 + 5.64995i 0.620163 + 0.620163i 0.945573 0.325410i \(-0.105502\pi\)
−0.325410 + 0.945573i \(0.605502\pi\)
\(84\) 3.03075 6.43378i 0.330682 0.701983i
\(85\) 5.84598 0.892881i 0.634085 0.0968465i
\(86\) −5.13096 + 8.88708i −0.553285 + 0.958318i
\(87\) 5.62590 + 1.50745i 0.603159 + 0.161616i
\(88\) −2.99684 + 1.42089i −0.319464 + 0.151468i
\(89\) 15.0601 + 8.69497i 1.59637 + 0.921665i 0.992179 + 0.124827i \(0.0398376\pi\)
0.604193 + 0.796838i \(0.293496\pi\)
\(90\) −1.42659 9.34035i −0.150376 0.984559i
\(91\) 11.9369 0.997403i 1.25132 0.104556i
\(92\) −4.63123 4.63123i −0.482839 0.482839i
\(93\) −6.59459 24.6113i −0.683827 2.55208i
\(94\) −2.43803 4.22278i −0.251463 0.435547i
\(95\) −0.993991 + 8.98034i −0.101981 + 0.921363i
\(96\) 2.32791 + 1.34402i 0.237592 + 0.137174i
\(97\) 5.74983 + 5.74983i 0.583807 + 0.583807i 0.935947 0.352140i \(-0.114546\pi\)
−0.352140 + 0.935947i \(0.614546\pi\)
\(98\) −6.36706 + 2.90871i −0.643170 + 0.293824i
\(99\) −10.6779 + 9.07703i −1.07317 + 0.912275i
\(100\) −1.09346 + 4.87897i −0.109346 + 0.487897i
\(101\) −13.8239 + 7.98121i −1.37553 + 0.794160i −0.991617 0.129211i \(-0.958755\pi\)
−0.383908 + 0.923371i \(0.625422\pi\)
\(102\) −1.83998 + 6.86688i −0.182185 + 0.679922i
\(103\) −3.64713 13.6113i −0.359363 1.34116i −0.874904 0.484296i \(-0.839076\pi\)
0.515542 0.856864i \(-0.327591\pi\)
\(104\) 4.52744i 0.443952i
\(105\) −8.31853 + 13.5535i −0.811805 + 1.32269i
\(106\) 6.72393i 0.653086i
\(107\) −4.13885 15.4464i −0.400118 1.49326i −0.812885 0.582424i \(-0.802104\pi\)
0.412767 0.910837i \(-0.364562\pi\)
\(108\) 3.18214 + 0.852651i 0.306201 + 0.0820463i
\(109\) 1.79806 + 3.11433i 0.172223 + 0.298298i 0.939197 0.343380i \(-0.111572\pi\)
−0.766974 + 0.641678i \(0.778238\pi\)
\(110\) 7.01000 2.42072i 0.668378 0.230806i
\(111\) −16.8768 −1.60188
\(112\) −0.895188 2.48971i −0.0845873 0.235255i
\(113\) −11.3071 + 11.3071i −1.06368 + 1.06368i −0.0658550 + 0.997829i \(0.520977\pi\)
−0.997829 + 0.0658550i \(0.979023\pi\)
\(114\) −9.40630 5.43073i −0.880980 0.508634i
\(115\) 9.15361 + 11.4321i 0.853578 + 1.06605i
\(116\) 1.87647 1.08338i 0.174226 0.100590i
\(117\) 4.95147 + 18.4791i 0.457764 + 1.70840i
\(118\) 2.64913 + 2.64913i 0.243872 + 0.243872i
\(119\) 5.74745 3.99106i 0.526868 0.365860i
\(120\) −4.84315 3.55974i −0.442117 0.324958i
\(121\) −8.51639 6.96212i −0.774217 0.632920i
\(122\) −0.583573 + 2.17792i −0.0528342 + 0.197180i
\(123\) −4.54854 + 16.9754i −0.410128 + 1.53062i
\(124\) −8.20892 4.73942i −0.737183 0.425613i
\(125\) 3.63041 10.5745i 0.324714 0.945812i
\(126\) −6.37668 9.18293i −0.568080 0.818080i
\(127\) 5.98612 5.98612i 0.531182 0.531182i −0.389742 0.920924i \(-0.627436\pi\)
0.920924 + 0.389742i \(0.127436\pi\)
\(128\) 0.965926 0.258819i 0.0853766 0.0228766i
\(129\) 13.7922 + 23.8888i 1.21434 + 2.10329i
\(130\) 1.11374 10.0622i 0.0976813 0.882514i
\(131\) 8.92152 + 5.15084i 0.779477 + 0.450031i 0.836245 0.548356i \(-0.184746\pi\)
−0.0567680 + 0.998387i \(0.518080\pi\)
\(132\) −0.720101 + 8.88610i −0.0626767 + 0.773436i
\(133\) 3.61715 + 10.0600i 0.313646 + 0.872317i
\(134\) −3.09538 −0.267400
\(135\) −6.86253 2.67781i −0.590633 0.230469i
\(136\) 1.32236 + 2.29039i 0.113391 + 0.196400i
\(137\) 2.66627 9.95066i 0.227795 0.850142i −0.753471 0.657482i \(-0.771622\pi\)
0.981265 0.192660i \(-0.0617116\pi\)
\(138\) −17.0056 + 4.55663i −1.44761 + 0.387886i
\(139\) 1.25145 0.106147 0.0530735 0.998591i \(-0.483098\pi\)
0.0530735 + 0.998591i \(0.483098\pi\)
\(140\) 1.37709 + 5.75357i 0.116385 + 0.486266i
\(141\) −13.1070 −1.10381
\(142\) 1.41583 + 5.28394i 0.118813 + 0.443418i
\(143\) −13.5680 + 6.43301i −1.13461 + 0.537955i
\(144\) 3.65945 2.11279i 0.304954 0.176065i
\(145\) −4.43696 + 1.94621i −0.368470 + 0.161624i
\(146\) 4.62893 0.383093
\(147\) −1.78624 + 18.7313i −0.147327 + 1.54493i
\(148\) −4.43956 + 4.43956i −0.364930 + 0.364930i
\(149\) −10.1145 + 17.5188i −0.828611 + 1.43520i 0.0705173 + 0.997511i \(0.477535\pi\)
−0.899128 + 0.437686i \(0.855798\pi\)
\(150\) 9.88819 + 9.10291i 0.807367 + 0.743249i
\(151\) 11.2742 6.50916i 0.917481 0.529708i 0.0346504 0.999399i \(-0.488968\pi\)
0.882831 + 0.469692i \(0.155635\pi\)
\(152\) −3.90297 + 1.04580i −0.316573 + 0.0848255i
\(153\) 7.90224 + 7.90224i 0.638858 + 0.638858i
\(154\) 6.18929 6.22035i 0.498747 0.501250i
\(155\) 17.0784 + 12.5527i 1.37177 + 1.00826i
\(156\) 10.5395 + 6.08497i 0.843834 + 0.487188i
\(157\) −3.33675 + 12.4529i −0.266302 + 0.993852i 0.695147 + 0.718868i \(0.255339\pi\)
−0.961449 + 0.274984i \(0.911327\pi\)
\(158\) −4.23728 1.13538i −0.337100 0.0903257i
\(159\) −15.6527 9.03711i −1.24134 0.716689i
\(160\) −2.21043 + 0.337609i −0.174750 + 0.0266903i
\(161\) 15.6762 + 7.38458i 1.23546 + 0.581986i
\(162\) −2.70204 + 2.70204i −0.212292 + 0.212292i
\(163\) −3.96188 14.7859i −0.310318 1.15812i −0.928270 0.371907i \(-0.878704\pi\)
0.617951 0.786216i \(-0.287963\pi\)
\(164\) 3.26896 + 5.66201i 0.255263 + 0.442128i
\(165\) 3.78638 19.5722i 0.294769 1.52369i
\(166\) 3.99512 6.91975i 0.310081 0.537076i
\(167\) −13.3930 + 13.3930i −1.03638 + 1.03638i −0.0370650 + 0.999313i \(0.511801\pi\)
−0.999313 + 0.0370650i \(0.988199\pi\)
\(168\) −6.99897 1.26230i −0.539982 0.0973884i
\(169\) 7.49770i 0.576746i
\(170\) −2.37551 5.41569i −0.182193 0.415364i
\(171\) −14.7866 + 8.53704i −1.13076 + 0.652844i
\(172\) 9.91224 + 2.65598i 0.755802 + 0.202516i
\(173\) 0.471822 0.126424i 0.0358719 0.00961186i −0.240838 0.970565i \(-0.577422\pi\)
0.276710 + 0.960953i \(0.410756\pi\)
\(174\) 5.82436i 0.441543i
\(175\) −1.64521 13.1261i −0.124366 0.992236i
\(176\) 2.14812 + 2.52697i 0.161920 + 0.190478i
\(177\) 9.72742 2.60645i 0.731158 0.195913i
\(178\) 4.50085 16.7974i 0.337353 1.25902i
\(179\) 0.496211 0.286488i 0.0370886 0.0214131i −0.481341 0.876533i \(-0.659850\pi\)
0.518430 + 0.855120i \(0.326517\pi\)
\(180\) −8.65286 + 3.79544i −0.644946 + 0.282895i
\(181\) −18.5157 −1.37626 −0.688131 0.725586i \(-0.741569\pi\)
−0.688131 + 0.725586i \(0.741569\pi\)
\(182\) −4.05291 11.2720i −0.300422 0.835536i
\(183\) 4.28568 + 4.28568i 0.316807 + 0.316807i
\(184\) −3.27477 + 5.67207i −0.241419 + 0.418151i
\(185\) 10.9590 8.77478i 0.805723 0.645135i
\(186\) −22.0659 + 12.7398i −1.61795 + 0.934125i
\(187\) −4.98502 + 7.21731i −0.364540 + 0.527782i
\(188\) −3.44789 + 3.44789i −0.251463 + 0.251463i
\(189\) −8.68586 + 0.725760i −0.631804 + 0.0527913i
\(190\) 8.93161 1.36416i 0.647967 0.0989667i
\(191\) 2.66929 4.62334i 0.193143 0.334533i −0.753147 0.657852i \(-0.771465\pi\)
0.946290 + 0.323319i \(0.104799\pi\)
\(192\) 0.695717 2.59645i 0.0502090 0.187383i
\(193\) 5.17346 19.3076i 0.372394 1.38979i −0.484721 0.874669i \(-0.661079\pi\)
0.857115 0.515125i \(-0.172254\pi\)
\(194\) 4.06574 7.04207i 0.291903 0.505591i
\(195\) −21.9271 16.1165i −1.57023 1.15413i
\(196\) 4.45751 + 5.39728i 0.318394 + 0.385520i
\(197\) 6.70905 6.70905i 0.478000 0.478000i −0.426491 0.904492i \(-0.640251\pi\)
0.904492 + 0.426491i \(0.140251\pi\)
\(198\) 11.5314 + 7.96475i 0.819499 + 0.566030i
\(199\) −2.58858 + 1.49452i −0.183499 + 0.105943i −0.588936 0.808180i \(-0.700453\pi\)
0.405436 + 0.914123i \(0.367120\pi\)
\(200\) 4.99573 0.206573i 0.353252 0.0146069i
\(201\) −4.16026 + 7.20578i −0.293442 + 0.508256i
\(202\) 11.2871 + 11.2871i 0.794160 + 0.794160i
\(203\) −3.70204 + 4.37710i −0.259832 + 0.307212i
\(204\) 7.10912 0.497738
\(205\) −5.87241 13.3879i −0.410147 0.935054i
\(206\) −12.2035 + 7.04572i −0.850261 + 0.490899i
\(207\) −7.16296 + 26.7325i −0.497860 + 1.85804i
\(208\) 4.37317 1.17179i 0.303225 0.0812488i
\(209\) −8.67981 10.2106i −0.600395 0.706284i
\(210\) 15.2447 + 4.52718i 1.05198 + 0.312405i
\(211\) 9.59556i 0.660586i 0.943879 + 0.330293i \(0.107147\pi\)
−0.943879 + 0.330293i \(0.892853\pi\)
\(212\) −6.49482 + 1.74028i −0.446066 + 0.119523i
\(213\) 14.2034 + 3.80580i 0.973204 + 0.260769i
\(214\) −13.8489 + 7.99565i −0.946690 + 0.546572i
\(215\) −21.3766 8.34128i −1.45787 0.568871i
\(216\) 3.29439i 0.224155i
\(217\) 24.6805 + 4.45124i 1.67542 + 0.302170i
\(218\) 2.54284 2.54284i 0.172223 0.172223i
\(219\) 6.22139 10.7758i 0.420402 0.728158i
\(220\) −4.15255 6.14462i −0.279965 0.414270i
\(221\) 5.98690 + 10.3696i 0.402723 + 0.697536i
\(222\) 4.36805 + 16.3018i 0.293164 + 1.09410i
\(223\) 15.8859 15.8859i 1.06380 1.06380i 0.0659793 0.997821i \(-0.478983\pi\)
0.997821 0.0659793i \(-0.0210171\pi\)
\(224\) −2.17318 + 1.50907i −0.145202 + 0.100829i
\(225\) 20.1646 6.30677i 1.34431 0.420451i
\(226\) 13.8483 + 7.99534i 0.921178 + 0.531842i
\(227\) 10.7641 + 2.88422i 0.714436 + 0.191433i 0.597688 0.801729i \(-0.296086\pi\)
0.116748 + 0.993162i \(0.462753\pi\)
\(228\) −2.81115 + 10.4914i −0.186173 + 0.694807i
\(229\) 18.5411 + 10.7047i 1.22523 + 0.707389i 0.966029 0.258434i \(-0.0832064\pi\)
0.259204 + 0.965823i \(0.416540\pi\)
\(230\) 8.67348 11.8006i 0.571912 0.778106i
\(231\) −6.16189 22.7684i −0.405423 1.49805i
\(232\) −1.53213 1.53213i −0.100590 0.100590i
\(233\) −5.63503 + 1.50990i −0.369163 + 0.0989169i −0.438631 0.898667i \(-0.644536\pi\)
0.0694681 + 0.997584i \(0.477870\pi\)
\(234\) 16.5679 9.56551i 1.08308 0.625317i
\(235\) 8.51109 6.81474i 0.555202 0.444545i
\(236\) 1.87322 3.24450i 0.121936 0.211199i
\(237\) −8.33805 + 8.33805i −0.541615 + 0.541615i
\(238\) −5.34262 4.51865i −0.346311 0.292900i
\(239\) −2.26127 −0.146269 −0.0731347 0.997322i \(-0.523300\pi\)
−0.0731347 + 0.997322i \(0.523300\pi\)
\(240\) −2.18495 + 5.59945i −0.141038 + 0.361443i
\(241\) 19.5996 11.3158i 1.26252 0.728916i 0.288959 0.957342i \(-0.406691\pi\)
0.973561 + 0.228425i \(0.0733577\pi\)
\(242\) −4.52069 + 10.0281i −0.290601 + 0.644633i
\(243\) 5.21646 + 19.4681i 0.334636 + 1.24888i
\(244\) 2.25475 0.144346
\(245\) −8.57908 13.0920i −0.548097 0.836414i
\(246\) 17.5742 1.12049
\(247\) −17.6705 + 4.73479i −1.12435 + 0.301267i
\(248\) −2.45331 + 9.15586i −0.155785 + 0.581398i
\(249\) −10.7390 18.6006i −0.680559 1.17876i
\(250\) −11.1538 0.769828i −0.705429 0.0486882i
\(251\) −7.90057 −0.498680 −0.249340 0.968416i \(-0.580214\pi\)
−0.249340 + 0.968416i \(0.580214\pi\)
\(252\) −7.21962 + 8.53611i −0.454793 + 0.537725i
\(253\) −21.6514 1.75456i −1.36121 0.110308i
\(254\) −7.33147 4.23283i −0.460017 0.265591i
\(255\) −15.8000 1.74882i −0.989433 0.109516i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 17.3029 4.63630i 1.07933 0.289205i 0.325007 0.945712i \(-0.394633\pi\)
0.754320 + 0.656507i \(0.227967\pi\)
\(258\) 19.5052 19.5052i 1.21434 1.21434i
\(259\) 7.07896 15.0274i 0.439865 0.933760i
\(260\) −10.0076 + 1.52850i −0.620645 + 0.0947938i
\(261\) −7.92917 4.57791i −0.490804 0.283366i
\(262\) 2.66627 9.95066i 0.164723 0.614754i
\(263\) −5.23914 + 19.5527i −0.323059 + 1.20567i 0.593189 + 0.805063i \(0.297869\pi\)
−0.916249 + 0.400610i \(0.868798\pi\)
\(264\) 8.76969 1.60433i 0.539737 0.0987395i
\(265\) 14.8628 2.27006i 0.913016 0.139449i
\(266\) 8.78107 6.09763i 0.538402 0.373870i
\(267\) −33.0536 33.0536i −2.02285 2.02285i
\(268\) 0.801143 + 2.98991i 0.0489376 + 0.182638i
\(269\) −6.62961 + 3.82761i −0.404215 + 0.233373i −0.688301 0.725425i \(-0.741643\pi\)
0.284086 + 0.958799i \(0.408310\pi\)
\(270\) −0.810411 + 7.32176i −0.0493200 + 0.445588i
\(271\) −3.39858 1.96217i −0.206449 0.119194i 0.393211 0.919448i \(-0.371364\pi\)
−0.599660 + 0.800255i \(0.704698\pi\)
\(272\) 1.87010 1.87010i 0.113391 0.113391i
\(273\) −31.6874 5.71498i −1.91781 0.345886i
\(274\) −10.3017 −0.622347
\(275\) 7.71747 + 14.6779i 0.465381 + 0.885110i
\(276\) 8.80272 + 15.2468i 0.529862 + 0.917747i
\(277\) 9.43093 + 2.52701i 0.566650 + 0.151833i 0.530760 0.847522i \(-0.321907\pi\)
0.0358900 + 0.999356i \(0.488573\pi\)
\(278\) −0.323900 1.20881i −0.0194262 0.0724997i
\(279\) 40.0535i 2.39794i
\(280\) 5.20111 2.81930i 0.310826 0.168486i
\(281\) 0.994731i 0.0593407i −0.999560 0.0296703i \(-0.990554\pi\)
0.999560 0.0296703i \(-0.00944575\pi\)
\(282\) 3.39235 + 12.6604i 0.202011 + 0.753917i
\(283\) 3.37200 12.5845i 0.200445 0.748070i −0.790345 0.612662i \(-0.790099\pi\)
0.990790 0.135408i \(-0.0432345\pi\)
\(284\) 4.73745 2.73517i 0.281116 0.162302i
\(285\) 8.82862 22.6255i 0.522962 1.34022i
\(286\) 9.72547 + 11.4407i 0.575079 + 0.676503i
\(287\) −13.2073 11.1704i −0.779603 0.659368i
\(288\) −2.98793 2.98793i −0.176065 0.176065i
\(289\) −8.66498 5.00273i −0.509705 0.294278i
\(290\) 3.02826 + 3.78206i 0.177826 + 0.222090i
\(291\) −10.9289 18.9294i −0.640663 1.10966i
\(292\) −1.19806 4.47121i −0.0701110 0.261658i
\(293\) −9.06354 9.06354i −0.529498 0.529498i 0.390925 0.920423i \(-0.372155\pi\)
−0.920423 + 0.390925i \(0.872155\pi\)
\(294\) 18.5554 3.12264i 1.08217 0.182116i
\(295\) −4.96135 + 6.75009i −0.288861 + 0.393005i
\(296\) 5.43733 + 3.13924i 0.316038 + 0.182465i
\(297\) 9.87276 4.68098i 0.572876 0.271618i
\(298\) 19.5397 + 5.23564i 1.13190 + 0.303293i
\(299\) −14.8263 + 25.6800i −0.857429 + 1.48511i
\(300\) 6.23348 11.9073i 0.359890 0.687466i
\(301\) −27.0562 + 2.26072i −1.55949 + 0.130306i
\(302\) −9.20534 9.20534i −0.529708 0.529708i
\(303\) 41.4456 11.1053i 2.38099 0.637984i
\(304\) 2.02033 + 3.49931i 0.115874 + 0.200699i
\(305\) −5.01118 0.554663i −0.286939 0.0317599i
\(306\) 5.58773 9.67822i 0.319429 0.553267i
\(307\) 15.5908 15.5908i 0.889813 0.889813i −0.104692 0.994505i \(-0.533386\pi\)
0.994505 + 0.104692i \(0.0333857\pi\)
\(308\) −7.61030 4.36845i −0.433637 0.248916i
\(309\) 37.8784i 2.15483i
\(310\) 7.70478 19.7454i 0.437602 1.12146i
\(311\) 3.99701 + 6.92303i 0.226650 + 0.392569i 0.956813 0.290704i \(-0.0938894\pi\)
−0.730163 + 0.683273i \(0.760556\pi\)
\(312\) 3.14981 11.7553i 0.178323 0.665511i
\(313\) 2.35326 + 8.78249i 0.133014 + 0.496416i 0.999998 0.00192030i \(-0.000611252\pi\)
−0.866984 + 0.498336i \(0.833945\pi\)
\(314\) 12.8922 0.727550
\(315\) 18.1454 17.1955i 1.02238 0.968855i
\(316\) 4.38676i 0.246774i
\(317\) −0.376636 + 0.100919i −0.0211540 + 0.00566819i −0.269381 0.963034i \(-0.586819\pi\)
0.248227 + 0.968702i \(0.420152\pi\)
\(318\) −4.67795 + 17.4584i −0.262327 + 0.979016i
\(319\) 2.41456 6.76857i 0.135190 0.378967i
\(320\) 0.898208 + 2.04774i 0.0502113 + 0.114472i
\(321\) 42.9853i 2.39921i
\(322\) 3.07565 17.0533i 0.171399 0.950345i
\(323\) −7.55643 + 7.55643i −0.420451 + 0.420451i
\(324\) 3.30931 + 1.91063i 0.183850 + 0.106146i
\(325\) 22.6179 0.935248i 1.25461 0.0518782i
\(326\) −13.2567 + 7.65376i −0.734221 + 0.423903i
\(327\) −2.50188 9.33713i −0.138354 0.516345i
\(328\) 4.62301 4.62301i 0.255263 0.255263i
\(329\) 5.49772 11.6707i 0.303099 0.643429i
\(330\) −19.8852 + 1.40829i −1.09465 + 0.0775238i
\(331\) 1.12074 1.94118i 0.0616015 0.106697i −0.833580 0.552399i \(-0.813713\pi\)
0.895181 + 0.445702i \(0.147046\pi\)
\(332\) −7.71797 2.06802i −0.423579 0.113498i
\(333\) 25.6262 + 6.86652i 1.40431 + 0.376283i
\(334\) 16.4030 + 9.47025i 0.897530 + 0.518189i
\(335\) −1.04503 6.84214i −0.0570960 0.373826i
\(336\) 0.592181 + 7.08719i 0.0323061 + 0.386638i
\(337\) −6.06525 + 6.06525i −0.330395 + 0.330395i −0.852736 0.522341i \(-0.825059\pi\)
0.522341 + 0.852736i \(0.325059\pi\)
\(338\) 7.24222 1.94055i 0.393925 0.105552i
\(339\) 37.2249 21.4918i 2.02178 1.16728i
\(340\) −4.61633 + 3.69625i −0.250355 + 0.200457i
\(341\) −30.9246 + 5.65734i −1.67466 + 0.306362i
\(342\) 12.0732 + 12.0732i 0.652844 + 0.652844i
\(343\) −15.9295 9.44732i −0.860111 0.510107i
\(344\) 10.2619i 0.553285i
\(345\) −15.8134 36.0513i −0.851362 1.94094i
\(346\) −0.244233 0.423024i −0.0131300 0.0227419i
\(347\) −26.0037 6.96766i −1.39595 0.374044i −0.519061 0.854737i \(-0.673718\pi\)
−0.876889 + 0.480693i \(0.840385\pi\)
\(348\) −5.62590 + 1.50745i −0.301580 + 0.0808080i
\(349\) −4.88249 −0.261354 −0.130677 0.991425i \(-0.541715\pi\)
−0.130677 + 0.991425i \(0.541715\pi\)
\(350\) −12.2530 + 4.98643i −0.654949 + 0.266536i
\(351\) 14.9151i 0.796111i
\(352\) 1.88489 2.72895i 0.100465 0.145454i
\(353\) −34.1176 9.14179i −1.81590 0.486569i −0.819631 0.572891i \(-0.805822\pi\)
−0.996267 + 0.0863226i \(0.972488\pi\)
\(354\) −5.03528 8.72137i −0.267622 0.463535i
\(355\) −11.2018 + 4.91349i −0.594530 + 0.260781i
\(356\) −17.3899 −0.921665
\(357\) −17.6996 + 6.36400i −0.936763 + 0.336818i
\(358\) −0.405155 0.405155i −0.0214131 0.0214131i
\(359\) −4.94954 + 8.57286i −0.261227 + 0.452458i −0.966568 0.256410i \(-0.917460\pi\)
0.705341 + 0.708868i \(0.250794\pi\)
\(360\) 5.90564 + 7.37568i 0.311254 + 0.388733i
\(361\) 1.33655 + 2.31497i 0.0703447 + 0.121841i
\(362\) 4.79222 + 17.8848i 0.251873 + 0.940005i
\(363\) 17.2687 + 24.0018i 0.906372 + 1.25977i
\(364\) −9.83894 + 6.83222i −0.515701 + 0.358105i
\(365\) 1.56277 + 10.2320i 0.0817991 + 0.535565i
\(366\) 3.03044 5.24887i 0.158403 0.274363i
\(367\) 2.54078 9.48234i 0.132628 0.494974i −0.867368 0.497666i \(-0.834190\pi\)
0.999996 + 0.00269244i \(0.000857030\pi\)
\(368\) 6.32637 + 1.69515i 0.329785 + 0.0883656i
\(369\) 13.8132 23.9252i 0.719088 1.24550i
\(370\) −11.3122 8.31452i −0.588093 0.432251i
\(371\) 14.6123 10.1469i 0.758634 0.526800i
\(372\) 18.0168 + 18.0168i 0.934125 + 0.934125i
\(373\) −8.50002 + 2.27757i −0.440114 + 0.117928i −0.472070 0.881561i \(-0.656493\pi\)
0.0319557 + 0.999489i \(0.489826\pi\)
\(374\) 8.26160 + 2.94718i 0.427197 + 0.152395i
\(375\) −16.7830 + 24.9304i −0.866673 + 1.28740i
\(376\) 4.22278 + 2.43803i 0.217773 + 0.125732i
\(377\) −6.93664 6.93664i −0.357255 0.357255i
\(378\) 2.94910 + 8.20206i 0.151685 + 0.421868i
\(379\) 13.0265i 0.669126i 0.942373 + 0.334563i \(0.108589\pi\)
−0.942373 + 0.334563i \(0.891411\pi\)
\(380\) −3.62935 8.27420i −0.186182 0.424457i
\(381\) −19.7073 + 11.3780i −1.00964 + 0.582913i
\(382\) −5.15667 1.38173i −0.263838 0.0706952i
\(383\) −3.15714 11.7826i −0.161322 0.602063i −0.998481 0.0551023i \(-0.982451\pi\)
0.837158 0.546960i \(-0.184215\pi\)
\(384\) −2.68804 −0.137174
\(385\) 15.8392 + 11.5810i 0.807242 + 0.590221i
\(386\) −19.9887 −1.01740
\(387\) −11.2230 41.8849i −0.570498 2.12913i
\(388\) −7.85441 2.10458i −0.398747 0.106844i
\(389\) −15.2531 + 8.80636i −0.773361 + 0.446500i −0.834072 0.551655i \(-0.813996\pi\)
0.0607111 + 0.998155i \(0.480663\pi\)
\(390\) −9.89221 + 25.3512i −0.500912 + 1.28371i
\(391\) 17.3217i 0.875996i
\(392\) 4.05968 5.70254i 0.205045 0.288022i
\(393\) −19.5808 19.5808i −0.987718 0.987718i
\(394\) −8.21688 4.74402i −0.413960 0.239000i
\(395\) 1.07913 9.74955i 0.0542969 0.490553i
\(396\) 4.70882 13.1999i 0.236627 0.663319i
\(397\) 8.04928 2.15680i 0.403982 0.108247i −0.0511057 0.998693i \(-0.516275\pi\)
0.455088 + 0.890447i \(0.349608\pi\)
\(398\) 2.11356 + 2.11356i 0.105943 + 0.105943i
\(399\) −2.39280 28.6369i −0.119790 1.43364i
\(400\) −1.49252 4.77204i −0.0746262 0.238602i
\(401\) 11.3208 19.6082i 0.565333 0.979186i −0.431685 0.902024i \(-0.642081\pi\)
0.997019 0.0771616i \(-0.0245857\pi\)
\(402\) 8.03700 + 2.15351i 0.400849 + 0.107407i
\(403\) −11.1072 + 41.4526i −0.553289 + 2.06490i
\(404\) 7.98121 13.8239i 0.397080 0.687763i
\(405\) −6.88491 5.06045i −0.342114 0.251456i
\(406\) 5.18611 + 2.44302i 0.257383 + 0.121245i
\(407\) −1.68195 + 20.7553i −0.0833710 + 1.02880i
\(408\) −1.83998 6.86688i −0.0910923 0.339961i
\(409\) 2.06583 + 3.57813i 0.102149 + 0.176927i 0.912570 0.408921i \(-0.134095\pi\)
−0.810421 + 0.585848i \(0.800762\pi\)
\(410\) −11.4119 + 9.13737i −0.563592 + 0.451262i
\(411\) −13.8457 + 23.9814i −0.682957 + 1.18292i
\(412\) 9.96415 + 9.96415i 0.490899 + 0.490899i
\(413\) −1.75932 + 9.75475i −0.0865702 + 0.480000i
\(414\) 27.6756 1.36018
\(415\) 16.6444 + 6.49478i 0.817043 + 0.318816i
\(416\) −2.26372 3.92088i −0.110988 0.192237i
\(417\) −3.24934 0.870657i −0.159121 0.0426363i
\(418\) −7.61621 + 11.0268i −0.372521 + 0.539336i
\(419\) 31.4492i 1.53640i 0.640213 + 0.768198i \(0.278846\pi\)
−0.640213 + 0.768198i \(0.721154\pi\)
\(420\) 0.427312 15.8969i 0.0208507 0.775691i
\(421\) 1.74867 0.0852250 0.0426125 0.999092i \(-0.486432\pi\)
0.0426125 + 0.999092i \(0.486432\pi\)
\(422\) 9.26860 2.48351i 0.451188 0.120896i
\(423\) 19.9020 + 5.33273i 0.967670 + 0.259286i
\(424\) 3.36197 + 5.82310i 0.163272 + 0.282795i
\(425\) 11.1690 7.07929i 0.541777 0.343396i
\(426\) 14.7045i 0.712435i
\(427\) −5.61368 + 2.01843i −0.271665 + 0.0976786i
\(428\) 11.3076 + 11.3076i 0.546572 + 0.546572i
\(429\) 39.7042 7.26349i 1.91694 0.350685i
\(430\) −2.52440 + 22.8070i −0.121737 + 1.09985i
\(431\) 23.1554 13.3688i 1.11536 0.643951i 0.175144 0.984543i \(-0.443961\pi\)
0.940211 + 0.340592i \(0.110628\pi\)
\(432\) −3.18214 + 0.852651i −0.153101 + 0.0410232i
\(433\) −0.525794 + 0.525794i −0.0252680 + 0.0252680i −0.719628 0.694360i \(-0.755688\pi\)
0.694360 + 0.719628i \(0.255688\pi\)
\(434\) −2.08821 24.9916i −0.100237 1.19963i
\(435\) 12.8744 1.96636i 0.617278 0.0942795i
\(436\) −3.11433 1.79806i −0.149149 0.0861113i
\(437\) −25.5627 6.84950i −1.22283 0.327656i
\(438\) −12.0188 3.22043i −0.574280 0.153878i
\(439\) 8.90637 15.4263i 0.425078 0.736256i −0.571350 0.820706i \(-0.693580\pi\)
0.996428 + 0.0844504i \(0.0269135\pi\)
\(440\) −4.86048 + 5.60140i −0.231714 + 0.267036i
\(441\) 10.3333 27.7153i 0.492062 1.31978i
\(442\) 8.46676 8.46676i 0.402723 0.402723i
\(443\) 2.77319 + 10.3497i 0.131758 + 0.491729i 0.999990 0.00442990i \(-0.00141009\pi\)
−0.868232 + 0.496159i \(0.834743\pi\)
\(444\) 14.6158 8.43842i 0.693634 0.400470i
\(445\) 38.6491 + 4.27788i 1.83214 + 0.202791i
\(446\) −19.4562 11.2330i −0.921278 0.531900i
\(447\) 38.4499 38.4499i 1.81862 1.81862i
\(448\) 2.02011 + 1.70855i 0.0954412 + 0.0807216i
\(449\) 35.6800i 1.68385i −0.539598 0.841923i \(-0.681424\pi\)
0.539598 0.841923i \(-0.318576\pi\)
\(450\) −11.3109 17.8452i −0.533199 0.841231i
\(451\) 20.4232 + 7.28562i 0.961693 + 0.343066i
\(452\) 4.13869 15.4458i 0.194668 0.726510i
\(453\) −33.8014 + 9.05706i −1.58813 + 0.425538i
\(454\) 11.1438i 0.523004i
\(455\) 23.5477 12.7642i 1.10393 0.598396i
\(456\) 10.8615 0.508634
\(457\) 1.22876 + 4.58580i 0.0574790 + 0.214515i 0.988692 0.149961i \(-0.0479149\pi\)
−0.931213 + 0.364476i \(0.881248\pi\)
\(458\) 5.54118 20.6800i 0.258922 0.966311i
\(459\) −4.35637 7.54545i −0.203338 0.352191i
\(460\) −13.6433 5.32373i −0.636124 0.248220i
\(461\) 1.50907i 0.0702842i −0.999382 0.0351421i \(-0.988812\pi\)
0.999382 0.0351421i \(-0.0111884\pi\)
\(462\) −20.3978 + 11.8448i −0.948990 + 0.551071i
\(463\) 14.2220 14.2220i 0.660952 0.660952i −0.294653 0.955604i \(-0.595204\pi\)
0.955604 + 0.294653i \(0.0952039\pi\)
\(464\) −1.08338 + 1.87647i −0.0502948 + 0.0871131i
\(465\) −35.6101 44.4742i −1.65138 2.06244i
\(466\) 2.91690 + 5.05223i 0.135123 + 0.234040i
\(467\) 3.66271 0.981421i 0.169490 0.0454148i −0.173076 0.984908i \(-0.555371\pi\)
0.342566 + 0.939494i \(0.388704\pi\)
\(468\) −13.5277 13.5277i −0.625317 0.625317i
\(469\) −4.67114 6.72682i −0.215693 0.310616i
\(470\) −8.78537 6.45729i −0.405239 0.297853i
\(471\) 17.3274 30.0120i 0.798405 1.38288i
\(472\) −3.61878 0.969648i −0.166568 0.0446317i
\(473\) 30.7533 14.5811i 1.41404 0.670439i
\(474\) 10.2120 + 5.89589i 0.469052 + 0.270807i
\(475\) 6.03078 + 19.2822i 0.276711 + 0.884727i
\(476\) −2.98191 + 6.33009i −0.136675 + 0.290139i
\(477\) 20.0906 + 20.0906i 0.919888 + 0.919888i
\(478\) 0.585260 + 2.18422i 0.0267692 + 0.0999039i
\(479\) 0.789292 + 1.36709i 0.0360637 + 0.0624641i 0.883494 0.468443i \(-0.155185\pi\)
−0.847430 + 0.530907i \(0.821851\pi\)
\(480\) 5.97416 + 0.661251i 0.272682 + 0.0301818i
\(481\) 24.6172 + 14.2127i 1.12245 + 0.648045i
\(482\) −16.0030 16.0030i −0.728916 0.728916i
\(483\) −35.5649 30.0799i −1.61826 1.36868i
\(484\) 10.8565 + 1.77118i 0.493476 + 0.0805081i
\(485\) 16.9387 + 6.60959i 0.769146 + 0.300126i
\(486\) 17.4546 10.0774i 0.791758 0.457122i
\(487\) −0.0177171 + 0.0661211i −0.000802838 + 0.00299623i −0.966326 0.257321i \(-0.917160\pi\)
0.965523 + 0.260317i \(0.0838270\pi\)
\(488\) −0.583573 2.17792i −0.0264171 0.0985900i
\(489\) 41.1473i 1.86074i
\(490\) −10.4254 + 11.6752i −0.470973 + 0.527432i
\(491\) 26.4205i 1.19234i 0.802858 + 0.596170i \(0.203311\pi\)
−0.802858 + 0.596170i \(0.796689\pi\)
\(492\) −4.54854 16.9754i −0.205064 0.765309i
\(493\) −5.53522 1.48316i −0.249294 0.0667981i
\(494\) 9.14691 + 15.8429i 0.411539 + 0.712806i
\(495\) −13.7125 + 28.1783i −0.616330 + 1.26652i
\(496\) 9.47884 0.425613
\(497\) −9.34636 + 11.0507i −0.419242 + 0.495690i
\(498\) −15.1873 + 15.1873i −0.680559 + 0.680559i
\(499\) 15.2129 + 8.78316i 0.681022 + 0.393188i 0.800240 0.599680i \(-0.204705\pi\)
−0.119218 + 0.992868i \(0.538039\pi\)
\(500\) 2.14322 + 10.9730i 0.0958477 + 0.490727i
\(501\) 44.0918 25.4564i 1.96988 1.13731i
\(502\) 2.04482 + 7.63137i 0.0912647 + 0.340605i
\(503\) 26.9471 + 26.9471i 1.20151 + 1.20151i 0.973707 + 0.227805i \(0.0731550\pi\)
0.227805 + 0.973707i \(0.426845\pi\)
\(504\) 10.1138 + 4.76431i 0.450506 + 0.212219i
\(505\) −21.1388 + 28.7601i −0.940666 + 1.27981i
\(506\) 3.90902 + 21.3678i 0.173777 + 0.949913i
\(507\) 5.21627 19.4674i 0.231663 0.864578i
\(508\) −2.19107 + 8.17719i −0.0972131 + 0.362804i
\(509\) −4.18815 2.41803i −0.185637 0.107177i 0.404302 0.914626i \(-0.367515\pi\)
−0.589938 + 0.807448i \(0.700848\pi\)
\(510\) 2.40010 + 15.7142i 0.106278 + 0.695838i
\(511\) 6.98538 + 10.0595i 0.309015 + 0.445006i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) 12.8579 3.44527i 0.567691 0.152112i
\(514\) −8.95665 15.5134i −0.395061 0.684266i
\(515\) −19.6941 24.5964i −0.867827 1.08385i
\(516\) −23.8888 13.7922i −1.05165 0.607169i
\(517\) −1.30625 + 16.1192i −0.0574487 + 0.708921i
\(518\) −16.3476 2.94836i −0.718271 0.129544i
\(519\) −1.31302 −0.0576350
\(520\) 4.06658 + 9.27100i 0.178331 + 0.406560i
\(521\) −4.04614 7.00812i −0.177265 0.307031i 0.763678 0.645597i \(-0.223392\pi\)
−0.940943 + 0.338566i \(0.890058\pi\)
\(522\) −2.36970 + 8.84385i −0.103719 + 0.387085i
\(523\) −1.07264 + 0.287414i −0.0469034 + 0.0125677i −0.282194 0.959357i \(-0.591062\pi\)
0.235291 + 0.971925i \(0.424396\pi\)
\(524\) −10.3017 −0.450031
\(525\) −4.86030 + 35.2257i −0.212121 + 1.53738i
\(526\) 20.2425 0.882614
\(527\) 6.48830 + 24.2147i 0.282635 + 1.05481i
\(528\) −3.81942 8.05564i −0.166219 0.350577i
\(529\) −17.2309 + 9.94826i −0.749169 + 0.432533i
\(530\) −6.03949 13.7688i −0.262339 0.598080i
\(531\) −15.8308 −0.686999
\(532\) −8.16257 6.90368i −0.353892 0.299313i
\(533\) 20.9304 20.9304i 0.906596 0.906596i
\(534\) −23.3725 + 40.4823i −1.01143 + 1.75184i
\(535\) −22.3494 27.9126i −0.966248 1.20677i
\(536\) 2.68068 1.54769i 0.115788 0.0668500i
\(537\) −1.48770 + 0.398629i −0.0641991 + 0.0172021i
\(538\) 5.41306 + 5.41306i 0.233373 + 0.233373i
\(539\) 22.8580 + 4.06351i 0.984564 + 0.175028i
\(540\) 7.28203 1.11222i 0.313369 0.0478621i
\(541\) 4.14369 + 2.39236i 0.178151 + 0.102856i 0.586424 0.810004i \(-0.300535\pi\)
−0.408273 + 0.912860i \(0.633869\pi\)
\(542\) −1.01570 + 3.79063i −0.0436279 + 0.162821i
\(543\) 48.0751 + 12.8817i 2.06310 + 0.552806i
\(544\) −2.29039 1.32236i −0.0981998 0.0566957i
\(545\) 6.47926 + 4.76229i 0.277541 + 0.203994i
\(546\) 2.68106 + 32.0868i 0.114739 + 1.37319i
\(547\) −3.27348 + 3.27348i −0.139964 + 0.139964i −0.773617 0.633653i \(-0.781555\pi\)
0.633653 + 0.773617i \(0.281555\pi\)
\(548\) 2.66627 + 9.95066i 0.113897 + 0.425071i
\(549\) −4.76381 8.25116i −0.203315 0.352151i
\(550\) 12.1803 11.2534i 0.519371 0.479848i
\(551\) 4.37758 7.58219i 0.186491 0.323012i
\(552\) 12.4489 12.4489i 0.529862 0.529862i
\(553\) −3.92697 10.9217i −0.166992 0.464439i
\(554\) 9.76362i 0.414816i
\(555\) −34.5593 + 15.1589i −1.46696 + 0.643460i
\(556\) −1.08379 + 0.625727i −0.0459630 + 0.0265367i
\(557\) −42.6530 11.4288i −1.80726 0.484255i −0.812190 0.583393i \(-0.801725\pi\)
−0.995074 + 0.0991383i \(0.968391\pi\)
\(558\) 38.6887 10.3666i 1.63783 0.438854i
\(559\) 46.4602i 1.96506i
\(560\) −4.06938 4.29420i −0.171963 0.181463i
\(561\) 17.9645 15.2712i 0.758464 0.644752i
\(562\) −0.960836 + 0.257455i −0.0405304 + 0.0108601i
\(563\) 4.30918 16.0821i 0.181610 0.677778i −0.813721 0.581256i \(-0.802561\pi\)
0.995331 0.0965222i \(-0.0307719\pi\)
\(564\) 11.3510 6.55351i 0.477964 0.275953i
\(565\) −12.9979 + 33.3101i −0.546824 + 1.40137i
\(566\) −13.0284 −0.547625
\(567\) −9.94958 1.79445i −0.417843 0.0753600i
\(568\) −3.86811 3.86811i −0.162302 0.162302i
\(569\) −20.0499 + 34.7275i −0.840536 + 1.45585i 0.0489060 + 0.998803i \(0.484427\pi\)
−0.889442 + 0.457048i \(0.848907\pi\)
\(570\) −24.1395 2.67189i −1.01109 0.111913i
\(571\) 22.5866 13.0404i 0.945219 0.545723i 0.0536268 0.998561i \(-0.482922\pi\)
0.891593 + 0.452838i \(0.149589\pi\)
\(572\) 8.53374 12.3552i 0.356814 0.516595i
\(573\) −10.1472 + 10.1472i −0.423906 + 0.423906i
\(574\) −7.37147 + 15.6484i −0.307679 + 0.653152i
\(575\) 29.0126 + 15.1882i 1.20991 + 0.633391i
\(576\) −2.11279 + 3.65945i −0.0880327 + 0.152477i
\(577\) 0.0148009 0.0552379i 0.000616171 0.00229958i −0.965617 0.259969i \(-0.916288\pi\)
0.966233 + 0.257669i \(0.0829544\pi\)
\(578\) −2.58960 + 9.66453i −0.107713 + 0.401992i
\(579\) −26.8653 + 46.5320i −1.11648 + 1.93380i
\(580\) 2.86942 3.90395i 0.119146 0.162102i
\(581\) 21.0668 1.76026i 0.873997 0.0730281i
\(582\) −15.4558 + 15.4558i −0.640663 + 0.640663i
\(583\) −12.6739 + 18.3493i −0.524899 + 0.759950i
\(584\) −4.00878 + 2.31447i −0.165884 + 0.0957733i
\(585\) 26.7374 + 33.3930i 1.10546 + 1.38063i
\(586\) −6.40889 + 11.1005i −0.264749 + 0.458559i
\(587\) −17.2078 17.2078i −0.710242 0.710242i 0.256343 0.966586i \(-0.417482\pi\)
−0.966586 + 0.256343i \(0.917482\pi\)
\(588\) −7.81873 17.1149i −0.322439 0.705807i
\(589\) −38.3008 −1.57815
\(590\) 7.80418 + 3.04525i 0.321293 + 0.125371i
\(591\) −22.0873 + 12.7521i −0.908551 + 0.524552i
\(592\) 1.62499 6.06455i 0.0667868 0.249252i
\(593\) 28.8586 7.73263i 1.18508 0.317541i 0.388140 0.921600i \(-0.373118\pi\)
0.796939 + 0.604059i \(0.206451\pi\)
\(594\) −7.07674 8.32483i −0.290362 0.341572i
\(595\) 8.18446 13.3350i 0.335530 0.546684i
\(596\) 20.2290i 0.828611i
\(597\) 7.76087 2.07952i 0.317631 0.0851090i
\(598\) 28.6423 + 7.67467i 1.17127 + 0.313841i
\(599\) −7.77821 + 4.49075i −0.317809 + 0.183487i −0.650416 0.759579i \(-0.725405\pi\)
0.332606 + 0.943066i \(0.392072\pi\)
\(600\) −13.1149 2.93926i −0.535413 0.119995i
\(601\) 42.9190i 1.75070i −0.483488 0.875351i \(-0.660630\pi\)
0.483488 0.875351i \(-0.339370\pi\)
\(602\) 9.18634 + 25.5491i 0.374407 + 1.04131i
\(603\) 9.24878 9.24878i 0.376639 0.376639i
\(604\) −6.50916 + 11.2742i −0.264854 + 0.458740i
\(605\) −23.6927 6.60710i −0.963247 0.268617i
\(606\) −21.4538 37.1591i −0.871502 1.50949i
\(607\) −8.44441 31.5150i −0.342748 1.27915i −0.895221 0.445622i \(-0.852982\pi\)
0.552473 0.833531i \(-0.313684\pi\)
\(608\) 2.85718 2.85718i 0.115874 0.115874i
\(609\) 12.6574 8.78936i 0.512903 0.356163i
\(610\) 0.761225 + 4.98399i 0.0308211 + 0.201796i
\(611\) 19.1184 + 11.0380i 0.773447 + 0.446550i
\(612\) −10.7947 2.89242i −0.436348 0.116919i
\(613\) −10.3036 + 38.4536i −0.416158 + 1.55312i 0.366346 + 0.930479i \(0.380609\pi\)
−0.782504 + 0.622646i \(0.786058\pi\)
\(614\) −19.0947 11.0243i −0.770600 0.444906i
\(615\) 5.93321 + 38.8466i 0.239250 + 1.56645i
\(616\) −2.24991 + 8.48162i −0.0906514 + 0.341734i
\(617\) 5.08189 + 5.08189i 0.204589 + 0.204589i 0.801963 0.597374i \(-0.203789\pi\)
−0.597374 + 0.801963i \(0.703789\pi\)
\(618\) 36.5877 9.80365i 1.47177 0.394361i
\(619\) −27.4630 + 15.8558i −1.10383 + 0.637298i −0.937225 0.348726i \(-0.886615\pi\)
−0.166607 + 0.986023i \(0.553281\pi\)
\(620\) −21.0667 2.33177i −0.846059 0.0936461i
\(621\) 10.7884 18.6860i 0.432922 0.749844i
\(622\) 5.65263 5.65263i 0.226650 0.226650i
\(623\) 43.2959 15.5673i 1.73461 0.623690i
\(624\) −12.1699 −0.487188
\(625\) −2.06397 24.9147i −0.0825588 0.996586i
\(626\) 7.87417 4.54615i 0.314715 0.181701i
\(627\) 15.4330 + 32.5501i 0.616334 + 1.29992i
\(628\) −3.33675 12.4529i −0.133151 0.496926i
\(629\) 16.6048 0.662078
\(630\) −21.3059 13.0766i −0.848849 0.520985i
\(631\) −26.5850 −1.05833 −0.529165 0.848519i \(-0.677495\pi\)
−0.529165 + 0.848519i \(0.677495\pi\)
\(632\) 4.23728 1.13538i 0.168550 0.0451628i
\(633\) 6.67579 24.9144i 0.265339 0.990258i
\(634\) 0.194961 + 0.337682i 0.00774289 + 0.0134111i
\(635\) 6.88121 17.6348i 0.273073 0.699815i
\(636\) 18.0742 0.716689
\(637\) 18.3800 25.8179i 0.728240 1.02294i
\(638\) −7.16287 0.580456i −0.283581 0.0229805i
\(639\) −20.0184 11.5576i −0.791916 0.457213i
\(640\) 1.74549 1.39760i 0.0689965 0.0552448i
\(641\) 6.55481 + 11.3533i 0.258899 + 0.448427i 0.965947 0.258739i \(-0.0833069\pi\)
−0.707048 + 0.707166i \(0.749974\pi\)
\(642\) 41.5206 11.1254i 1.63869 0.439085i
\(643\) 8.98489 8.98489i 0.354329 0.354329i −0.507388 0.861718i \(-0.669389\pi\)
0.861718 + 0.507388i \(0.169389\pi\)
\(644\) −17.2683 + 1.44288i −0.680466 + 0.0568573i
\(645\) 49.7000 + 36.5297i 1.95693 + 1.43836i
\(646\) 9.25470 + 5.34320i 0.364121 + 0.210225i
\(647\) −11.5166 + 42.9804i −0.452763 + 1.68973i 0.241820 + 0.970321i \(0.422256\pi\)
−0.694583 + 0.719413i \(0.744411\pi\)
\(648\) 0.989015 3.69105i 0.0388522 0.144998i
\(649\) −2.23602 12.2227i −0.0877713 0.479781i
\(650\) −6.75731 21.6051i −0.265044 0.847423i
\(651\) −60.9848 28.7280i −2.39018 1.12594i
\(652\) 10.8241 + 10.8241i 0.423903 + 0.423903i
\(653\) 9.48094 + 35.3833i 0.371018 + 1.38466i 0.859077 + 0.511847i \(0.171038\pi\)
−0.488059 + 0.872811i \(0.662295\pi\)
\(654\) −8.37144 + 4.83326i −0.327349 + 0.188995i
\(655\) 22.8954 + 2.53419i 0.894599 + 0.0990189i
\(656\) −5.66201 3.26896i −0.221064 0.127631i
\(657\) −13.8309 + 13.8309i −0.539596 + 0.539596i
\(658\) −12.6960 2.28978i −0.494941 0.0892650i
\(659\) −32.0226 −1.24742 −0.623711 0.781655i \(-0.714376\pi\)
−0.623711 + 0.781655i \(0.714376\pi\)
\(660\) 6.50699 + 18.8432i 0.253284 + 0.733470i
\(661\) 0.981802 + 1.70053i 0.0381877 + 0.0661430i 0.884488 0.466564i \(-0.154508\pi\)
−0.846300 + 0.532707i \(0.821175\pi\)
\(662\) −2.16511 0.580138i −0.0841492 0.0225477i
\(663\) −8.33037 31.0894i −0.323525 1.20741i
\(664\) 7.99023i 0.310081i
\(665\) 16.4430 + 17.3514i 0.637631 + 0.672857i
\(666\) 26.5302i 1.02802i
\(667\) −3.67298 13.7078i −0.142219 0.530767i
\(668\) 4.90216 18.2951i 0.189670 0.707859i
\(669\) −52.2991 + 30.1949i −2.02200 + 1.16740i
\(670\) −6.33852 + 2.78029i −0.244878 + 0.107412i
\(671\) 5.69770 4.84348i 0.219957 0.186980i
\(672\) 6.69244 2.40630i 0.258166 0.0928252i
\(673\) −34.1675 34.1675i −1.31706 1.31706i −0.916092 0.400968i \(-0.868674\pi\)
−0.400968 0.916092i \(-0.631326\pi\)
\(674\) 7.42838 + 4.28878i 0.286130 + 0.165197i
\(675\) −16.4579 + 0.680533i −0.633464 + 0.0261937i
\(676\) −3.74885 6.49320i −0.144187 0.249738i
\(677\) 8.40252 + 31.3586i 0.322935 + 1.20521i 0.916371 + 0.400330i \(0.131104\pi\)
−0.593436 + 0.804881i \(0.702229\pi\)
\(678\) −30.3940 30.3940i −1.16728 1.16728i
\(679\) 21.4392 1.79138i 0.822760 0.0687469i
\(680\) 4.76509 + 3.50237i 0.182733 + 0.134310i
\(681\) −25.9418 14.9775i −0.994090 0.573938i
\(682\) 13.4684 + 28.4066i 0.515733 + 1.08774i
\(683\) −1.35535 0.363164i −0.0518609 0.0138961i 0.232795 0.972526i \(-0.425213\pi\)
−0.284656 + 0.958630i \(0.591879\pi\)
\(684\) 8.53704 14.7866i 0.326422 0.565379i
\(685\) −3.47794 22.7712i −0.132885 0.870042i
\(686\) −5.00256 + 17.8318i −0.190999 + 0.680823i
\(687\) −40.6937 40.6937i −1.55256 1.55256i
\(688\) −9.91224 + 2.65598i −0.377901 + 0.101258i
\(689\) 15.2211 + 26.3637i 0.579878 + 1.00438i
\(690\) −30.7301 + 24.6053i −1.16987 + 0.936707i
\(691\) 15.1249 26.1970i 0.575377 0.996582i −0.420624 0.907235i \(-0.638189\pi\)
0.996001 0.0893466i \(-0.0284779\pi\)
\(692\) −0.345397 + 0.345397i −0.0131300 + 0.0131300i
\(693\) 0.0927986 + 37.0791i 0.00352513 + 1.40852i
\(694\) 26.9210i 1.02191i
\(695\) 2.56265 1.12407i 0.0972068 0.0426383i
\(696\) 2.91218 + 5.04404i 0.110386 + 0.191194i
\(697\) 4.47523 16.7018i 0.169512 0.632626i
\(698\) 1.26368 + 4.71613i 0.0478311 + 0.178508i
\(699\) 15.6815 0.593130
\(700\) 7.98782 + 10.5449i 0.301911 + 0.398559i
\(701\) 15.8475i 0.598550i −0.954167 0.299275i \(-0.903255\pi\)
0.954167 0.299275i \(-0.0967449\pi\)
\(702\) −14.4069 + 3.86032i −0.543754 + 0.145698i
\(703\) −6.56603 + 24.5048i −0.247643 + 0.924215i
\(704\) −3.12381 1.11436i −0.117733 0.0419991i
\(705\) −26.8397 + 11.7728i −1.01084 + 0.443391i
\(706\) 35.3212i 1.32933i
\(707\) −7.49591 + 41.5620i −0.281913 + 1.56310i
\(708\) −7.12097 + 7.12097i −0.267622 + 0.267622i
\(709\) −6.23238 3.59827i −0.234062 0.135136i 0.378382 0.925649i \(-0.376480\pi\)
−0.612445 + 0.790514i \(0.709814\pi\)
\(710\) 7.64531 + 9.54840i 0.286923 + 0.358345i
\(711\) 16.0531 9.26828i 0.602039 0.347588i
\(712\) 4.50085 + 16.7974i 0.168676 + 0.629509i
\(713\) −43.8987 + 43.8987i −1.64402 + 1.64402i
\(714\) 10.7281 + 15.4494i 0.401491 + 0.578179i
\(715\) −22.0055 + 25.3600i −0.822960 + 0.948410i
\(716\) −0.286488 + 0.496211i −0.0107066 + 0.0185443i
\(717\) 5.87128 + 1.57320i 0.219267 + 0.0587524i
\(718\) 9.56178 + 2.56207i 0.356843 + 0.0956157i
\(719\) −38.8239 22.4150i −1.44789 0.835938i −0.449531 0.893265i \(-0.648409\pi\)
−0.998355 + 0.0573267i \(0.981742\pi\)
\(720\) 5.59587 7.61338i 0.208546 0.283734i
\(721\) −33.7276 15.8880i −1.25608 0.591701i
\(722\) 1.89017 1.89017i 0.0703447 0.0703447i
\(723\) −58.7619 + 15.7452i −2.18538 + 0.585571i
\(724\) 16.0351 9.25786i 0.595939 0.344066i
\(725\) −7.33763 + 7.97063i −0.272513 + 0.296022i
\(726\) 18.7145 22.8924i 0.694559 0.849617i
\(727\) 7.06351 + 7.06351i 0.261971 + 0.261971i 0.825854 0.563883i \(-0.190693\pi\)
−0.563883 + 0.825854i \(0.690693\pi\)
\(728\) 9.14592 + 7.73538i 0.338970 + 0.286692i
\(729\) 42.7134i 1.58198i
\(730\) 9.47884 4.15775i 0.350827 0.153885i
\(731\) −13.5699 23.5038i −0.501902 0.869320i
\(732\) −5.85435 1.56867i −0.216383 0.0579797i
\(733\) −4.14896 + 1.11171i −0.153245 + 0.0410620i −0.334626 0.942351i \(-0.608610\pi\)
0.181381 + 0.983413i \(0.441943\pi\)
\(734\) −9.81684 −0.362346
\(735\) 13.1669 + 39.9612i 0.485667 + 1.47399i
\(736\) 6.54954i 0.241419i
\(737\) 8.44714 + 5.83446i 0.311154 + 0.214915i
\(738\) −26.6851 7.15025i −0.982293 0.263204i
\(739\) 13.8121 + 23.9232i 0.508085 + 0.880028i 0.999956 + 0.00936063i \(0.00297962\pi\)
−0.491872 + 0.870668i \(0.663687\pi\)
\(740\) −5.10340 + 13.0787i −0.187605 + 0.480782i
\(741\) 49.1746 1.80647
\(742\) −13.5831 11.4882i −0.498651 0.421746i
\(743\) −4.81804 4.81804i −0.176757 0.176757i 0.613184 0.789940i \(-0.289889\pi\)
−0.789940 + 0.613184i \(0.789889\pi\)
\(744\) 12.7398 22.0659i 0.467063 0.808976i
\(745\) −4.97627 + 44.9588i −0.182316 + 1.64716i
\(746\) 4.39993 + 7.62091i 0.161093 + 0.279021i
\(747\) 8.73859 + 32.6129i 0.319728 + 1.19324i
\(748\) 0.708495 8.74288i 0.0259051 0.319671i
\(749\) −38.2749 18.0301i −1.39853 0.658806i
\(750\) 28.4247 + 9.75871i 1.03792 + 0.356338i
\(751\) −17.6877 + 30.6359i −0.645432 + 1.11792i 0.338769 + 0.940869i \(0.389989\pi\)
−0.984202 + 0.177052i \(0.943344\pi\)
\(752\) 1.26201 4.70990i 0.0460209 0.171752i
\(753\) 20.5134 + 5.49656i 0.747551 + 0.200306i
\(754\) −4.90495 + 8.49562i −0.178628 + 0.309392i
\(755\) 17.2400 23.4556i 0.627428 0.853637i
\(756\) 7.15930 4.97146i 0.260381 0.180810i
\(757\) −33.5247 33.5247i −1.21848 1.21848i −0.968166 0.250309i \(-0.919468\pi\)
−0.250309 0.968166i \(-0.580532\pi\)
\(758\) 12.5826 3.37150i 0.457021 0.122458i
\(759\) 54.9961 + 19.6189i 1.99623 + 0.712120i
\(760\) −7.05292 + 5.64720i −0.255836 + 0.204846i
\(761\) 31.2362 + 18.0343i 1.13231 + 0.653741i 0.944516 0.328467i \(-0.106532\pi\)
0.187797 + 0.982208i \(0.439865\pi\)
\(762\) 16.0909 + 16.0909i 0.582913 + 0.582913i
\(763\) 9.36336 + 1.68873i 0.338976 + 0.0611360i
\(764\) 5.33858i 0.193143i
\(765\) 23.2795 + 9.08385i 0.841674 + 0.328427i
\(766\) −10.5640 + 6.09912i −0.381692 + 0.220370i
\(767\) −16.3838 4.39002i −0.591584 0.158514i
\(768\) 0.695717 + 2.59645i 0.0251045 + 0.0936913i
\(769\) −28.7886 −1.03814 −0.519072 0.854730i \(-0.673723\pi\)
−0.519072 + 0.854730i \(0.673723\pi\)
\(770\) 7.08687 18.2969i 0.255393 0.659374i
\(771\) −48.1517 −1.73414
\(772\) 5.17346 + 19.3076i 0.186197 + 0.694897i
\(773\) 14.4885 + 3.88219i 0.521116 + 0.139633i 0.509783 0.860303i \(-0.329726\pi\)
0.0113334 + 0.999936i \(0.496392\pi\)