Properties

Label 162.3.h.a.65.11
Level $162$
Weight $3$
Character 162.65
Analytic conductor $4.414$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 162 = 2 \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 162.h (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.41418028264\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(18\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 65.11
Character \(\chi\) \(=\) 162.65
Dual form 162.3.h.a.5.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.326140 - 1.37609i) q^{2} +(-2.78435 - 1.11687i) q^{3} +(-1.78727 - 0.897598i) q^{4} +(5.92375 + 4.41007i) q^{5} +(-2.44501 + 3.46727i) q^{6} +(6.83506 + 4.49549i) q^{7} +(-1.81808 + 2.16670i) q^{8} +(6.50519 + 6.21953i) q^{9} +O(q^{10})\) \(q+(0.326140 - 1.37609i) q^{2} +(-2.78435 - 1.11687i) q^{3} +(-1.78727 - 0.897598i) q^{4} +(5.92375 + 4.41007i) q^{5} +(-2.44501 + 3.46727i) q^{6} +(6.83506 + 4.49549i) q^{7} +(-1.81808 + 2.16670i) q^{8} +(6.50519 + 6.21953i) q^{9} +(8.00064 - 6.71334i) q^{10} +(-1.35679 - 11.6081i) q^{11} +(3.97387 + 4.49537i) q^{12} +(0.463273 - 1.54744i) q^{13} +(8.41540 - 7.93952i) q^{14} +(-11.5683 - 18.8953i) q^{15} +(2.38863 + 3.20849i) q^{16} +(12.5713 - 2.21666i) q^{17} +(10.6803 - 6.92331i) q^{18} +(2.62832 - 14.9060i) q^{19} +(-6.62885 - 13.1991i) q^{20} +(-14.0103 - 20.1509i) q^{21} +(-16.4163 - 1.91879i) q^{22} +(14.0969 + 21.4333i) q^{23} +(7.48209 - 4.00229i) q^{24} +(8.47205 + 28.2986i) q^{25} +(-1.97833 - 1.14219i) q^{26} +(-11.1663 - 24.5828i) q^{27} +(-8.18092 - 14.1698i) q^{28} +(35.0982 + 33.1134i) q^{29} +(-29.7745 + 9.75656i) q^{30} +(-0.496868 - 8.53089i) q^{31} +(5.19421 - 2.24057i) q^{32} +(-9.18698 + 33.8363i) q^{33} +(1.04967 - 18.0222i) q^{34} +(20.6638 + 56.7733i) q^{35} +(-6.04386 - 16.9550i) q^{36} +(-59.1279 - 21.5208i) q^{37} +(-19.6548 - 8.47825i) q^{38} +(-3.01820 + 3.79119i) q^{39} +(-20.3252 + 4.81715i) q^{40} +(10.1113 + 42.6627i) q^{41} +(-32.2988 + 12.7074i) q^{42} +(9.46120 - 21.9335i) q^{43} +(-7.99445 + 21.9646i) q^{44} +(11.1066 + 65.5313i) q^{45} +(34.0917 - 12.4084i) q^{46} +(-39.0928 - 2.27690i) q^{47} +(-3.06731 - 11.6014i) q^{48} +(7.10069 + 16.4612i) q^{49} +(41.7046 - 2.42902i) q^{50} +(-37.4786 - 7.86860i) q^{51} +(-2.21697 + 2.34985i) q^{52} +(57.7082 - 33.3178i) q^{53} +(-37.4700 + 7.34842i) q^{54} +(43.1552 - 74.7470i) q^{55} +(-22.1670 + 6.63638i) q^{56} +(-23.9662 + 38.5679i) q^{57} +(57.0141 - 37.4988i) q^{58} +(3.88648 - 33.2510i) q^{59} +(3.71528 + 44.1545i) q^{60} +(-87.3883 + 43.8880i) q^{61} +(-11.9014 - 2.09853i) q^{62} +(16.5035 + 71.7548i) q^{63} +(-1.38919 - 7.87846i) q^{64} +(9.56862 - 7.12358i) q^{65} +(43.5657 + 23.6775i) q^{66} +(23.9226 + 25.3564i) q^{67} +(-24.4579 - 7.32222i) q^{68} +(-15.3124 - 75.4221i) q^{69} +(84.8646 - 9.91925i) q^{70} +(-57.1834 - 68.1485i) q^{71} +(-25.3028 + 2.78721i) q^{72} +(24.8184 + 20.8251i) q^{73} +(-48.8986 + 74.3468i) q^{74} +(8.01683 - 88.2554i) q^{75} +(-18.0771 + 24.2817i) q^{76} +(42.9103 - 85.4413i) q^{77} +(4.23267 + 5.38979i) q^{78} +(-116.214 - 27.5432i) q^{79} +29.5404i q^{80} +(3.63496 + 80.9184i) q^{81} +62.0056 q^{82} +(-32.1354 + 135.590i) q^{83} +(6.95269 + 48.5906i) q^{84} +(84.2449 + 42.3094i) q^{85} +(-27.0969 - 20.1729i) q^{86} +(-60.7421 - 131.400i) q^{87} +(27.6180 + 18.1646i) q^{88} +(-112.997 + 134.664i) q^{89} +(93.7995 + 6.08869i) q^{90} +(10.1230 - 8.49419i) q^{91} +(-5.95640 - 50.9603i) q^{92} +(-8.14447 + 24.3079i) q^{93} +(-15.8830 + 53.0528i) q^{94} +(81.3059 - 76.7082i) q^{95} +(-16.9649 + 0.437235i) q^{96} +(-57.6236 - 77.4019i) q^{97} +(24.9680 - 4.40254i) q^{98} +(63.3706 - 83.9514i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q+O(q^{10}) \) Copy content Toggle raw display \( 324 q + 72 q^{18} + 108 q^{20} + 270 q^{21} + 162 q^{23} - 54 q^{27} - 162 q^{29} - 216 q^{30} - 378 q^{33} - 486 q^{35} - 180 q^{36} - 108 q^{38} + 216 q^{41} + 432 q^{45} + 324 q^{47} + 126 q^{51} - 216 q^{57} - 378 q^{59} - 540 q^{63} - 1728 q^{65} - 1008 q^{66} + 702 q^{67} - 216 q^{68} - 1872 q^{69} + 540 q^{70} - 1296 q^{71} - 576 q^{72} - 864 q^{74} - 900 q^{75} + 108 q^{76} - 864 q^{77} - 288 q^{78} + 108 q^{79} + 144 q^{81} + 432 q^{83} + 144 q^{84} - 540 q^{85} + 864 q^{86} + 2016 q^{87} - 216 q^{88} + 1782 q^{89} + 1440 q^{90} + 864 q^{92} + 2124 q^{93} - 756 q^{94} + 2808 q^{95} + 288 q^{96} - 918 q^{97} + 1296 q^{98} + 1800 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).

\(n\) \(83\)
\(\chi(n)\) \(e\left(\frac{31}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.326140 1.37609i 0.163070 0.688047i
\(3\) −2.78435 1.11687i −0.928116 0.372291i
\(4\) −1.78727 0.897598i −0.446816 0.224400i
\(5\) 5.92375 + 4.41007i 1.18475 + 0.882014i 0.995006 0.0998191i \(-0.0318264\pi\)
0.189745 + 0.981833i \(0.439234\pi\)
\(6\) −2.44501 + 3.46727i −0.407502 + 0.577878i
\(7\) 6.83506 + 4.49549i 0.976437 + 0.642213i 0.934145 0.356893i \(-0.116164\pi\)
0.0422914 + 0.999105i \(0.486534\pi\)
\(8\) −1.81808 + 2.16670i −0.227260 + 0.270838i
\(9\) 6.50519 + 6.21953i 0.722799 + 0.691059i
\(10\) 8.00064 6.71334i 0.800064 0.671334i
\(11\) −1.35679 11.6081i −0.123345 1.05528i −0.903170 0.429283i \(-0.858766\pi\)
0.779825 0.625997i \(-0.215308\pi\)
\(12\) 3.97387 + 4.49537i 0.331155 + 0.374615i
\(13\) 0.463273 1.54744i 0.0356364 0.119034i −0.938321 0.345766i \(-0.887619\pi\)
0.973957 + 0.226732i \(0.0728043\pi\)
\(14\) 8.41540 7.93952i 0.601100 0.567108i
\(15\) −11.5683 18.8953i −0.771220 1.25968i
\(16\) 2.38863 + 3.20849i 0.149290 + 0.200531i
\(17\) 12.5713 2.21666i 0.739488 0.130392i 0.208799 0.977958i \(-0.433044\pi\)
0.530689 + 0.847567i \(0.321933\pi\)
\(18\) 10.6803 6.92331i 0.593347 0.384628i
\(19\) 2.62832 14.9060i 0.138333 0.784524i −0.834148 0.551541i \(-0.814040\pi\)
0.972481 0.232983i \(-0.0748488\pi\)
\(20\) −6.62885 13.1991i −0.331442 0.659956i
\(21\) −14.0103 20.1509i −0.667157 0.959566i
\(22\) −16.4163 1.91879i −0.746196 0.0872178i
\(23\) 14.0969 + 21.4333i 0.612908 + 0.931881i 0.999952 + 0.00981996i \(0.00312584\pi\)
−0.387044 + 0.922061i \(0.626504\pi\)
\(24\) 7.48209 4.00229i 0.311754 0.166762i
\(25\) 8.47205 + 28.2986i 0.338882 + 1.13194i
\(26\) −1.97833 1.14219i −0.0760895 0.0439303i
\(27\) −11.1663 24.5828i −0.413566 0.910474i
\(28\) −8.18092 14.1698i −0.292176 0.506063i
\(29\) 35.0982 + 33.1134i 1.21028 + 1.14184i 0.985899 + 0.167342i \(0.0535184\pi\)
0.224384 + 0.974501i \(0.427963\pi\)
\(30\) −29.7745 + 9.75656i −0.992484 + 0.325219i
\(31\) −0.496868 8.53089i −0.0160280 0.275190i −0.996794 0.0800052i \(-0.974506\pi\)
0.980766 0.195185i \(-0.0625307\pi\)
\(32\) 5.19421 2.24057i 0.162319 0.0700177i
\(33\) −9.18698 + 33.8363i −0.278393 + 1.02534i
\(34\) 1.04967 18.0222i 0.0308728 0.530065i
\(35\) 20.6638 + 56.7733i 0.590394 + 1.62209i
\(36\) −6.04386 16.9550i −0.167885 0.470972i
\(37\) −59.1279 21.5208i −1.59805 0.581643i −0.619025 0.785371i \(-0.712472\pi\)
−0.979028 + 0.203728i \(0.934694\pi\)
\(38\) −19.6548 8.47825i −0.517231 0.223112i
\(39\) −3.01820 + 3.79119i −0.0773898 + 0.0972100i
\(40\) −20.3252 + 4.81715i −0.508129 + 0.120429i
\(41\) 10.1113 + 42.6627i 0.246616 + 1.04055i 0.945578 + 0.325396i \(0.105498\pi\)
−0.698962 + 0.715159i \(0.746354\pi\)
\(42\) −32.2988 + 12.7074i −0.769020 + 0.302558i
\(43\) 9.46120 21.9335i 0.220028 0.510082i −0.772072 0.635536i \(-0.780779\pi\)
0.992100 + 0.125453i \(0.0400386\pi\)
\(44\) −7.99445 + 21.9646i −0.181692 + 0.499195i
\(45\) 11.1066 + 65.5313i 0.246813 + 1.45625i
\(46\) 34.0917 12.4084i 0.741125 0.269747i
\(47\) −39.0928 2.27690i −0.831762 0.0484446i −0.363022 0.931781i \(-0.618255\pi\)
−0.468740 + 0.883336i \(0.655292\pi\)
\(48\) −3.06731 11.6014i −0.0639023 0.241695i
\(49\) 7.10069 + 16.4612i 0.144912 + 0.335944i
\(50\) 41.7046 2.42902i 0.834092 0.0485803i
\(51\) −37.4786 7.86860i −0.734875 0.154286i
\(52\) −2.21697 + 2.34985i −0.0426340 + 0.0451894i
\(53\) 57.7082 33.3178i 1.08883 0.628638i 0.155568 0.987825i \(-0.450279\pi\)
0.933266 + 0.359187i \(0.116946\pi\)
\(54\) −37.4700 + 7.34842i −0.693889 + 0.136082i
\(55\) 43.1552 74.7470i 0.784640 1.35904i
\(56\) −22.1670 + 6.63638i −0.395840 + 0.118507i
\(57\) −23.9662 + 38.5679i −0.420460 + 0.676630i
\(58\) 57.0141 37.4988i 0.983002 0.646531i
\(59\) 3.88648 33.2510i 0.0658725 0.563576i −0.919491 0.393111i \(-0.871399\pi\)
0.985364 0.170465i \(-0.0545270\pi\)
\(60\) 3.71528 + 44.1545i 0.0619213 + 0.735909i
\(61\) −87.3883 + 43.8880i −1.43259 + 0.719476i −0.984643 0.174582i \(-0.944143\pi\)
−0.447952 + 0.894058i \(0.647846\pi\)
\(62\) −11.9014 2.09853i −0.191957 0.0338473i
\(63\) 16.5035 + 71.7548i 0.261961 + 1.13897i
\(64\) −1.38919 7.87846i −0.0217060 0.123101i
\(65\) 9.56862 7.12358i 0.147210 0.109593i
\(66\) 43.5657 + 23.6775i 0.660086 + 0.358750i
\(67\) 23.9226 + 25.3564i 0.357053 + 0.378454i 0.880855 0.473386i \(-0.156968\pi\)
−0.523802 + 0.851840i \(0.675487\pi\)
\(68\) −24.4579 7.32222i −0.359675 0.107680i
\(69\) −15.3124 75.4221i −0.221919 1.09307i
\(70\) 84.8646 9.91925i 1.21235 0.141704i
\(71\) −57.1834 68.1485i −0.805400 0.959839i 0.194377 0.980927i \(-0.437731\pi\)
−0.999778 + 0.0210882i \(0.993287\pi\)
\(72\) −25.3028 + 2.78721i −0.351428 + 0.0387113i
\(73\) 24.8184 + 20.8251i 0.339978 + 0.285275i 0.796751 0.604308i \(-0.206550\pi\)
−0.456773 + 0.889583i \(0.650995\pi\)
\(74\) −48.8986 + 74.3468i −0.660792 + 1.00469i
\(75\) 8.01683 88.2554i 0.106891 1.17674i
\(76\) −18.0771 + 24.2817i −0.237856 + 0.319496i
\(77\) 42.9103 85.4413i 0.557276 1.10963i
\(78\) 4.23267 + 5.38979i 0.0542650 + 0.0690999i
\(79\) −116.214 27.5432i −1.47106 0.348649i −0.584553 0.811356i \(-0.698730\pi\)
−0.886511 + 0.462707i \(0.846878\pi\)
\(80\) 29.5404i 0.369255i
\(81\) 3.63496 + 80.9184i 0.0448761 + 0.998993i
\(82\) 62.0056 0.756166
\(83\) −32.1354 + 135.590i −0.387173 + 1.63361i 0.335227 + 0.942137i \(0.391187\pi\)
−0.722400 + 0.691475i \(0.756961\pi\)
\(84\) 6.95269 + 48.5906i 0.0827702 + 0.578460i
\(85\) 84.2449 + 42.3094i 0.991117 + 0.497757i
\(86\) −27.0969 20.1729i −0.315080 0.234569i
\(87\) −60.7421 131.400i −0.698185 1.51034i
\(88\) 27.6180 + 18.1646i 0.313841 + 0.206416i
\(89\) −112.997 + 134.664i −1.26963 + 1.51308i −0.514525 + 0.857475i \(0.672032\pi\)
−0.755102 + 0.655607i \(0.772413\pi\)
\(90\) 93.7995 + 6.08869i 1.04222 + 0.0676522i
\(91\) 10.1230 8.49419i 0.111242 0.0933428i
\(92\) −5.95640 50.9603i −0.0647435 0.553916i
\(93\) −8.14447 + 24.3079i −0.0875750 + 0.261375i
\(94\) −15.8830 + 53.0528i −0.168968 + 0.564391i
\(95\) 81.3059 76.7082i 0.855852 0.807454i
\(96\) −16.9649 + 0.437235i −0.176718 + 0.00455454i
\(97\) −57.6236 77.4019i −0.594058 0.797958i 0.398829 0.917025i \(-0.369417\pi\)
−0.992886 + 0.119068i \(0.962009\pi\)
\(98\) 24.9680 4.40254i 0.254776 0.0449239i
\(99\) 63.3706 83.9514i 0.640107 0.847994i
\(100\) 10.2590 58.1816i 0.102590 0.581816i
\(101\) −40.7748 81.1892i −0.403711 0.803854i −0.999999 0.00108387i \(-0.999655\pi\)
0.596289 0.802770i \(-0.296641\pi\)
\(102\) −23.0512 + 49.0078i −0.225992 + 0.480468i
\(103\) 2.48215 + 0.290122i 0.0240986 + 0.00281672i 0.128134 0.991757i \(-0.459101\pi\)
−0.104035 + 0.994574i \(0.533175\pi\)
\(104\) 2.51057 + 3.81714i 0.0241401 + 0.0367032i
\(105\) 5.87338 181.155i 0.0559370 1.72529i
\(106\) −27.0275 90.2781i −0.254976 0.851680i
\(107\) 1.57232 + 0.907782i 0.0146946 + 0.00848394i 0.507329 0.861752i \(-0.330633\pi\)
−0.492635 + 0.870236i \(0.663966\pi\)
\(108\) −2.10836 + 53.9588i −0.0195219 + 0.499619i
\(109\) −76.9769 133.328i −0.706210 1.22319i −0.966253 0.257595i \(-0.917070\pi\)
0.260043 0.965597i \(-0.416263\pi\)
\(110\) −88.7842 83.7635i −0.807129 0.761487i
\(111\) 140.597 + 125.960i 1.26664 + 1.13477i
\(112\) 1.90271 + 32.6683i 0.0169885 + 0.291681i
\(113\) 112.124 48.3656i 0.992248 0.428014i 0.162837 0.986653i \(-0.447936\pi\)
0.829411 + 0.558639i \(0.188676\pi\)
\(114\) 45.2567 + 45.5583i 0.396988 + 0.399634i
\(115\) −11.0158 + 189.134i −0.0957894 + 1.64464i
\(116\) −33.0072 90.6866i −0.284545 0.781781i
\(117\) 12.6380 7.18504i 0.108017 0.0614106i
\(118\) −44.4889 16.1926i −0.377024 0.137226i
\(119\) 95.8905 + 41.3631i 0.805803 + 0.347589i
\(120\) 61.9724 + 9.28799i 0.516437 + 0.0774000i
\(121\) −15.1683 + 3.59495i −0.125358 + 0.0297103i
\(122\) 31.8932 + 134.568i 0.261420 + 1.10302i
\(123\) 19.4956 130.081i 0.158501 1.05757i
\(124\) −6.76928 + 15.6930i −0.0545910 + 0.126556i
\(125\) −11.4663 + 31.5034i −0.0917305 + 0.252028i
\(126\) 104.124 + 0.691730i 0.826379 + 0.00548992i
\(127\) 121.105 44.0787i 0.953583 0.347076i 0.182068 0.983286i \(-0.441721\pi\)
0.771516 + 0.636210i \(0.219499\pi\)
\(128\) −11.2946 0.657834i −0.0882388 0.00513933i
\(129\) −50.8403 + 50.5036i −0.394111 + 0.391501i
\(130\) −6.68199 15.4906i −0.0514000 0.119158i
\(131\) 180.243 10.4980i 1.37590 0.0801373i 0.645818 0.763492i \(-0.276517\pi\)
0.730087 + 0.683354i \(0.239480\pi\)
\(132\) 46.7910 52.2282i 0.354477 0.395668i
\(133\) 84.9743 90.0675i 0.638905 0.677199i
\(134\) 42.6949 24.6499i 0.318619 0.183955i
\(135\) 42.2656 194.867i 0.313078 1.44346i
\(136\) −18.0528 + 31.2683i −0.132741 + 0.229914i
\(137\) −63.5736 + 19.0327i −0.464041 + 0.138925i −0.510285 0.860005i \(-0.670460\pi\)
0.0462439 + 0.998930i \(0.485275\pi\)
\(138\) −108.782 3.52690i −0.788274 0.0255573i
\(139\) −90.7012 + 59.6551i −0.652527 + 0.429174i −0.832141 0.554563i \(-0.812885\pi\)
0.179615 + 0.983737i \(0.442515\pi\)
\(140\) 14.0279 120.017i 0.100200 0.857262i
\(141\) 106.305 + 50.0014i 0.753936 + 0.354620i
\(142\) −112.429 + 56.4637i −0.791750 + 0.397632i
\(143\) −18.5914 3.27816i −0.130009 0.0229242i
\(144\) −4.41679 + 35.7280i −0.0306722 + 0.248111i
\(145\) 61.8804 + 350.941i 0.426762 + 2.42029i
\(146\) 36.7515 27.3605i 0.251723 0.187401i
\(147\) −1.38567 53.7644i −0.00942629 0.365744i
\(148\) 86.3603 + 91.5365i 0.583515 + 0.618490i
\(149\) −129.384 38.7349i −0.868347 0.259966i −0.178517 0.983937i \(-0.557130\pi\)
−0.689831 + 0.723971i \(0.742315\pi\)
\(150\) −118.833 39.8155i −0.792220 0.265437i
\(151\) −275.866 + 32.2441i −1.82693 + 0.213537i −0.959049 0.283240i \(-0.908591\pi\)
−0.867878 + 0.496777i \(0.834517\pi\)
\(152\) 27.5183 + 32.7950i 0.181041 + 0.215757i
\(153\) 95.5652 + 63.7678i 0.624609 + 0.416783i
\(154\) −103.581 86.9144i −0.672601 0.564379i
\(155\) 34.6785 52.7261i 0.223732 0.340169i
\(156\) 8.79730 4.06673i 0.0563929 0.0260688i
\(157\) 116.578 156.591i 0.742534 0.997396i −0.256986 0.966415i \(-0.582729\pi\)
0.999520 0.0309809i \(-0.00986311\pi\)
\(158\) −75.8041 + 150.938i −0.479773 + 0.955306i
\(159\) −197.891 + 28.3157i −1.24460 + 0.178086i
\(160\) 40.6503 + 9.63430i 0.254064 + 0.0602144i
\(161\) 209.870i 1.30354i
\(162\) 112.537 + 21.3887i 0.694671 + 0.132029i
\(163\) −12.4725 −0.0765182 −0.0382591 0.999268i \(-0.512181\pi\)
−0.0382591 + 0.999268i \(0.512181\pi\)
\(164\) 20.2225 85.3255i 0.123308 0.520277i
\(165\) −203.642 + 159.923i −1.23419 + 0.969229i
\(166\) 176.104 + 88.4426i 1.06087 + 0.532786i
\(167\) −106.019 78.9283i −0.634845 0.472625i 0.230989 0.972956i \(-0.425804\pi\)
−0.865834 + 0.500332i \(0.833211\pi\)
\(168\) 69.1328 + 6.27979i 0.411505 + 0.0373797i
\(169\) 139.017 + 91.4332i 0.822589 + 0.541025i
\(170\) 85.6973 102.130i 0.504102 0.600765i
\(171\) 109.806 80.6192i 0.642139 0.471457i
\(172\) −36.5972 + 30.7087i −0.212774 + 0.178539i
\(173\) −20.2981 173.661i −0.117330 1.00382i −0.915757 0.401732i \(-0.868408\pi\)
0.798427 0.602091i \(-0.205666\pi\)
\(174\) −200.629 + 40.7321i −1.15304 + 0.234093i
\(175\) −69.3091 + 231.509i −0.396052 + 1.32291i
\(176\) 34.0036 32.0807i 0.193202 0.182277i
\(177\) −47.9584 + 88.2416i −0.270952 + 0.498540i
\(178\) 148.458 + 199.414i 0.834033 + 1.12030i
\(179\) −175.085 + 30.8722i −0.978129 + 0.172471i −0.639787 0.768552i \(-0.720977\pi\)
−0.338342 + 0.941023i \(0.609866\pi\)
\(180\) 38.9704 127.091i 0.216502 0.706061i
\(181\) −29.5059 + 167.336i −0.163016 + 0.924510i 0.788070 + 0.615585i \(0.211080\pi\)
−0.951086 + 0.308925i \(0.900031\pi\)
\(182\) −8.38729 16.7005i −0.0460840 0.0917608i
\(183\) 292.337 24.5980i 1.59747 0.134415i
\(184\) −72.0687 8.42362i −0.391678 0.0457806i
\(185\) −255.351 388.242i −1.38028 2.09861i
\(186\) 30.7937 + 19.1353i 0.165558 + 0.102878i
\(187\) −42.7878 142.921i −0.228812 0.764284i
\(188\) 67.8255 + 39.1591i 0.360774 + 0.208293i
\(189\) 34.1895 218.223i 0.180897 1.15462i
\(190\) −79.0405 136.902i −0.416002 0.720537i
\(191\) −167.709 158.225i −0.878056 0.828403i 0.108115 0.994138i \(-0.465519\pi\)
−0.986170 + 0.165736i \(0.947000\pi\)
\(192\) −4.93127 + 23.4879i −0.0256837 + 0.122333i
\(193\) 0.280772 + 4.82067i 0.00145478 + 0.0249776i 0.998957 0.0456515i \(-0.0145364\pi\)
−0.997503 + 0.0706291i \(0.977499\pi\)
\(194\) −125.306 + 54.0516i −0.645905 + 0.278616i
\(195\) −34.5985 + 9.14758i −0.177428 + 0.0469107i
\(196\) 2.08477 35.7942i 0.0106366 0.182623i
\(197\) 77.6212 + 213.263i 0.394016 + 1.08255i 0.965151 + 0.261695i \(0.0842814\pi\)
−0.571134 + 0.820857i \(0.693496\pi\)
\(198\) −94.8572 114.584i −0.479077 0.578706i
\(199\) 83.7068 + 30.4668i 0.420637 + 0.153099i 0.543662 0.839304i \(-0.317037\pi\)
−0.123025 + 0.992404i \(0.539260\pi\)
\(200\) −76.7175 33.0927i −0.383587 0.165463i
\(201\) −38.2888 97.3196i −0.190492 0.484177i
\(202\) −125.022 + 29.6308i −0.618922 + 0.146687i
\(203\) 91.0371 + 384.116i 0.448459 + 1.89220i
\(204\) 59.9214 + 47.7040i 0.293732 + 0.233843i
\(205\) −128.249 + 297.315i −0.625606 + 1.45032i
\(206\) 1.20877 3.32106i 0.00586779 0.0161216i
\(207\) −41.6019 + 227.103i −0.200975 + 1.09712i
\(208\) 6.07153 2.20986i 0.0291901 0.0106243i
\(209\) −176.596 10.2855i −0.844956 0.0492131i
\(210\) −247.371 67.1643i −1.17796 0.319830i
\(211\) −27.5988 63.9812i −0.130800 0.303229i 0.840212 0.542257i \(-0.182430\pi\)
−0.971012 + 0.239029i \(0.923171\pi\)
\(212\) −133.046 + 7.74904i −0.627575 + 0.0365521i
\(213\) 83.1053 + 253.616i 0.390166 + 1.19068i
\(214\) 1.76199 1.86760i 0.00823360 0.00872711i
\(215\) 152.774 88.2043i 0.710578 0.410252i
\(216\) 73.5648 + 20.4994i 0.340578 + 0.0949048i
\(217\) 34.9544 60.5428i 0.161080 0.278999i
\(218\) −208.577 + 62.4438i −0.956775 + 0.286440i
\(219\) −45.8440 85.7033i −0.209333 0.391339i
\(220\) −144.223 + 94.8566i −0.655557 + 0.431167i
\(221\) 2.39380 20.4802i 0.0108317 0.0926707i
\(222\) 219.187 152.394i 0.987328 0.686458i
\(223\) −220.620 + 110.799i −0.989325 + 0.496858i −0.868432 0.495808i \(-0.834872\pi\)
−0.120893 + 0.992666i \(0.538576\pi\)
\(224\) 45.5752 + 8.03614i 0.203461 + 0.0358756i
\(225\) −120.892 + 236.780i −0.537297 + 1.05236i
\(226\) −29.9874 170.067i −0.132688 0.752509i
\(227\) 247.411 184.190i 1.08992 0.811412i 0.106778 0.994283i \(-0.465947\pi\)
0.983137 + 0.182871i \(0.0585391\pi\)
\(228\) 77.4525 47.4190i 0.339704 0.207978i
\(229\) 23.3400 + 24.7390i 0.101922 + 0.108031i 0.776326 0.630332i \(-0.217081\pi\)
−0.674404 + 0.738362i \(0.735600\pi\)
\(230\) 256.673 + 76.8428i 1.11597 + 0.334099i
\(231\) −214.904 + 189.973i −0.930321 + 0.822395i
\(232\) −135.558 + 15.8445i −0.584303 + 0.0682952i
\(233\) 42.1209 + 50.1977i 0.180776 + 0.215441i 0.848821 0.528680i \(-0.177313\pi\)
−0.668045 + 0.744121i \(0.732869\pi\)
\(234\) −5.76552 19.7344i −0.0246390 0.0843351i
\(235\) −221.535 185.890i −0.942702 0.791021i
\(236\) −36.7922 + 55.9398i −0.155899 + 0.237033i
\(237\) 292.818 + 206.486i 1.23552 + 0.871250i
\(238\) 88.1933 118.464i 0.370560 0.497748i
\(239\) −48.3628 + 96.2982i −0.202355 + 0.402921i −0.971805 0.235785i \(-0.924234\pi\)
0.769451 + 0.638706i \(0.220530\pi\)
\(240\) 32.9928 82.2507i 0.137470 0.342711i
\(241\) 160.837 + 38.1190i 0.667372 + 0.158170i 0.550317 0.834955i \(-0.314507\pi\)
0.117054 + 0.993126i \(0.462655\pi\)
\(242\) 22.0454i 0.0910967i
\(243\) 80.2546 229.365i 0.330266 0.943888i
\(244\) 195.580 0.801557
\(245\) −30.5325 + 128.827i −0.124623 + 0.525824i
\(246\) −172.645 69.2524i −0.701810 0.281514i
\(247\) −21.8484 10.9727i −0.0884552 0.0444238i
\(248\) 19.3872 + 14.4333i 0.0781744 + 0.0581986i
\(249\) 240.913 341.638i 0.967521 1.37204i
\(250\) 39.6121 + 26.0533i 0.158448 + 0.104213i
\(251\) 51.1493 60.9573i 0.203782 0.242858i −0.654468 0.756090i \(-0.727107\pi\)
0.858250 + 0.513232i \(0.171552\pi\)
\(252\) 34.9108 143.058i 0.138535 0.567692i
\(253\) 229.673 192.718i 0.907797 0.761732i
\(254\) −21.1591 181.028i −0.0833036 0.712708i
\(255\) −187.313 211.895i −0.734561 0.830960i
\(256\) −4.58885 + 15.3278i −0.0179252 + 0.0598743i
\(257\) 196.146 185.054i 0.763214 0.720055i −0.202608 0.979260i \(-0.564942\pi\)
0.965822 + 0.259205i \(0.0834604\pi\)
\(258\) 52.9167 + 86.4322i 0.205103 + 0.335009i
\(259\) −307.396 412.905i −1.18686 1.59423i
\(260\) −23.4958 + 4.14294i −0.0903684 + 0.0159344i
\(261\) 22.3705 + 433.703i 0.0857105 + 1.66170i
\(262\) 44.3384 251.456i 0.169231 0.959754i
\(263\) 179.592 + 357.596i 0.682858 + 1.35968i 0.921425 + 0.388556i \(0.127026\pi\)
−0.238567 + 0.971126i \(0.576678\pi\)
\(264\) −56.6105 81.4225i −0.214434 0.308418i
\(265\) 488.783 + 57.1305i 1.84446 + 0.215587i
\(266\) −96.2278 146.307i −0.361758 0.550027i
\(267\) 465.025 248.749i 1.74167 0.931646i
\(268\) −19.9961 66.7916i −0.0746122 0.249222i
\(269\) 259.476 + 149.808i 0.964593 + 0.556908i 0.897584 0.440844i \(-0.145321\pi\)
0.0670096 + 0.997752i \(0.478654\pi\)
\(270\) −254.370 121.715i −0.942111 0.450797i
\(271\) 119.641 + 207.225i 0.441481 + 0.764668i 0.997800 0.0663015i \(-0.0211199\pi\)
−0.556319 + 0.830969i \(0.687787\pi\)
\(272\) 37.1404 + 35.0401i 0.136545 + 0.128824i
\(273\) −37.6728 + 12.3447i −0.137996 + 0.0452187i
\(274\) 5.45685 + 93.6906i 0.0199155 + 0.341936i
\(275\) 316.998 136.740i 1.15272 0.497235i
\(276\) −40.3315 + 148.544i −0.146129 + 0.538202i
\(277\) 24.6440 423.121i 0.0889674 1.52751i −0.598398 0.801199i \(-0.704196\pi\)
0.687365 0.726312i \(-0.258767\pi\)
\(278\) 52.5097 + 144.269i 0.188884 + 0.518954i
\(279\) 49.8259 58.5854i 0.178587 0.209983i
\(280\) −160.579 58.4460i −0.573496 0.208736i
\(281\) −302.892 130.655i −1.07791 0.464963i −0.218279 0.975886i \(-0.570044\pi\)
−0.859626 + 0.510923i \(0.829304\pi\)
\(282\) 103.477 129.978i 0.366939 0.460915i
\(283\) 126.872 30.0692i 0.448311 0.106252i −0.000257903 1.00000i \(-0.500082\pi\)
0.448569 + 0.893748i \(0.351934\pi\)
\(284\) 41.0319 + 173.127i 0.144479 + 0.609603i
\(285\) −312.057 + 122.774i −1.09494 + 0.430785i
\(286\) −10.5744 + 24.5143i −0.0369736 + 0.0857143i
\(287\) −122.679 + 337.057i −0.427452 + 1.17442i
\(288\) 47.7246 + 17.7303i 0.165710 + 0.0615634i
\(289\) −118.447 + 43.1112i −0.409852 + 0.149174i
\(290\) 503.110 + 29.3028i 1.73486 + 0.101044i
\(291\) 73.9960 + 279.872i 0.254282 + 0.961760i
\(292\) −25.6645 59.4969i −0.0878920 0.203756i
\(293\) −248.629 + 14.4810i −0.848565 + 0.0494233i −0.476915 0.878950i \(-0.658245\pi\)
−0.371650 + 0.928373i \(0.621208\pi\)
\(294\) −74.4368 15.6279i −0.253186 0.0531562i
\(295\) 169.662 179.831i 0.575124 0.609596i
\(296\) 154.128 88.9860i 0.520704 0.300629i
\(297\) −270.209 + 162.973i −0.909794 + 0.548730i
\(298\) −95.5001 + 165.411i −0.320470 + 0.555071i
\(299\) 39.6974 11.8846i 0.132767 0.0397479i
\(300\) −93.5461 + 150.540i −0.311820 + 0.501800i
\(301\) 163.270 107.384i 0.542425 0.356758i
\(302\) −45.6001 + 390.134i −0.150994 + 1.29183i
\(303\) 22.8531 + 271.599i 0.0754227 + 0.896367i
\(304\) 54.1038 27.1719i 0.177973 0.0893814i
\(305\) −711.216 125.407i −2.33186 0.411169i
\(306\) 118.918 110.709i 0.388621 0.361796i
\(307\) 80.0200 + 453.816i 0.260652 + 1.47823i 0.781138 + 0.624359i \(0.214640\pi\)
−0.520486 + 0.853870i \(0.674249\pi\)
\(308\) −153.384 + 114.190i −0.498000 + 0.370747i
\(309\) −6.58715 3.58005i −0.0213176 0.0115859i
\(310\) −61.2460 64.9170i −0.197568 0.209410i
\(311\) −128.681 38.5247i −0.413767 0.123874i 0.0731523 0.997321i \(-0.476694\pi\)
−0.486919 + 0.873447i \(0.661879\pi\)
\(312\) −2.72704 13.4322i −0.00874053 0.0430520i
\(313\) 278.788 32.5856i 0.890696 0.104107i 0.341579 0.939853i \(-0.389038\pi\)
0.549117 + 0.835746i \(0.314964\pi\)
\(314\) −177.463 211.493i −0.565170 0.673543i
\(315\) −218.681 + 497.840i −0.694226 + 1.58044i
\(316\) 182.983 + 153.541i 0.579059 + 0.485888i
\(317\) 243.332 369.968i 0.767609 1.16709i −0.214120 0.976807i \(-0.568688\pi\)
0.981729 0.190285i \(-0.0609413\pi\)
\(318\) −25.5752 + 281.552i −0.0804253 + 0.885383i
\(319\) 336.763 452.351i 1.05568 1.41803i
\(320\) 26.5154 52.7965i 0.0828606 0.164989i
\(321\) −3.36402 4.28367i −0.0104798 0.0133448i
\(322\) 288.801 + 68.4470i 0.896897 + 0.212568i
\(323\) 193.213i 0.598184i
\(324\) 66.1356 147.885i 0.204122 0.456436i
\(325\) 47.7152 0.146816
\(326\) −4.06777 + 17.1633i −0.0124778 + 0.0526481i
\(327\) 65.4201 + 457.205i 0.200062 + 1.39818i
\(328\) −110.820 55.6561i −0.337867 0.169683i
\(329\) −256.966 191.304i −0.781051 0.581471i
\(330\) 153.653 + 332.387i 0.465614 + 1.00723i
\(331\) −67.9561 44.6954i −0.205305 0.135031i 0.442693 0.896673i \(-0.354023\pi\)
−0.647998 + 0.761642i \(0.724394\pi\)
\(332\) 179.140 213.490i 0.539577 0.643043i
\(333\) −250.789 507.745i −0.753121 1.52476i
\(334\) −143.190 + 120.150i −0.428712 + 0.359732i
\(335\) 29.8877 + 255.706i 0.0892170 + 0.763300i
\(336\) 31.1885 93.0850i 0.0928230 0.277039i
\(337\) 66.9670 223.685i 0.198715 0.663755i −0.799309 0.600921i \(-0.794801\pi\)
0.998024 0.0628344i \(-0.0200140\pi\)
\(338\) 171.160 161.481i 0.506390 0.477754i
\(339\) −366.210 + 9.43831i −1.08027 + 0.0278416i
\(340\) −112.591 151.236i −0.331150 0.444812i
\(341\) −98.3532 + 17.3423i −0.288426 + 0.0508572i
\(342\) −75.1274 177.396i −0.219671 0.518702i
\(343\) 44.1418 250.340i 0.128693 0.729855i
\(344\) 30.3222 + 60.3765i 0.0881459 + 0.175513i
\(345\) 241.910 514.311i 0.701189 1.49076i
\(346\) −245.594 28.7058i −0.709810 0.0829649i
\(347\) −114.038 173.387i −0.328641 0.499674i 0.632938 0.774202i \(-0.281849\pi\)
−0.961579 + 0.274528i \(0.911478\pi\)
\(348\) −9.38183 + 289.368i −0.0269593 + 0.831517i
\(349\) −107.364 358.619i −0.307632 1.02756i −0.962378 0.271714i \(-0.912410\pi\)
0.654746 0.755849i \(-0.272776\pi\)
\(350\) 295.973 + 170.880i 0.845637 + 0.488229i
\(351\) −43.2134 + 5.89060i −0.123115 + 0.0167823i
\(352\) −33.0561 57.2549i −0.0939095 0.162656i
\(353\) 287.160 + 270.922i 0.813485 + 0.767483i 0.975662 0.219278i \(-0.0703703\pi\)
−0.162178 + 0.986762i \(0.551852\pi\)
\(354\) 105.787 + 94.7744i 0.298835 + 0.267724i
\(355\) −38.2006 655.878i −0.107607 1.84754i
\(356\) 322.830 139.255i 0.906825 0.391166i
\(357\) −220.795 222.267i −0.618474 0.622596i
\(358\) −14.6192 + 251.002i −0.0408358 + 0.701123i
\(359\) 74.3758 + 204.346i 0.207175 + 0.569209i 0.999145 0.0413517i \(-0.0131664\pi\)
−0.791970 + 0.610561i \(0.790944\pi\)
\(360\) −162.179 95.0764i −0.450498 0.264101i
\(361\) 123.949 + 45.1139i 0.343350 + 0.124969i
\(362\) 220.647 + 95.1780i 0.609523 + 0.262923i
\(363\) 46.2488 + 6.93145i 0.127407 + 0.0190949i
\(364\) −25.7168 + 6.09500i −0.0706506 + 0.0167445i
\(365\) 55.1778 + 232.814i 0.151172 + 0.637845i
\(366\) 61.4936 410.305i 0.168015 1.12105i
\(367\) −205.224 + 475.763i −0.559194 + 1.29636i 0.370776 + 0.928722i \(0.379092\pi\)
−0.929970 + 0.367635i \(0.880168\pi\)
\(368\) −35.0962 + 96.4260i −0.0953701 + 0.262027i
\(369\) −199.566 + 340.416i −0.540831 + 0.922538i
\(370\) −617.538 + 224.765i −1.66902 + 0.607474i
\(371\) 544.218 + 31.6971i 1.46690 + 0.0854370i
\(372\) 36.3751 36.1342i 0.0977825 0.0971350i
\(373\) −145.625 337.596i −0.390415 0.905084i −0.994161 0.107907i \(-0.965585\pi\)
0.603746 0.797177i \(-0.293674\pi\)
\(374\) −210.628 + 12.2677i −0.563175 + 0.0328012i
\(375\) 67.1116 74.9101i 0.178964 0.199760i
\(376\) 76.0071 80.5629i 0.202147 0.214263i
\(377\) 67.5010 38.9717i 0.179048 0.103373i
\(378\) −289.144 118.219i −0.764932 0.312749i
\(379\) 69.5884 120.531i 0.183611 0.318023i −0.759497 0.650511i \(-0.774555\pi\)
0.943107 + 0.332488i \(0.107888\pi\)
\(380\) −214.168 + 64.1178i −0.563601 + 0.168731i
\(381\) −386.429 12.5287i −1.01425 0.0328838i
\(382\) −272.429 + 179.179i −0.713164 + 0.469056i
\(383\) −9.56984 + 81.8752i −0.0249865 + 0.213773i −0.999964 0.00853202i \(-0.997284\pi\)
0.974977 + 0.222305i \(0.0713582\pi\)
\(384\) 30.7133 + 14.4462i 0.0799825 + 0.0376204i
\(385\) 630.992 316.896i 1.63894 0.823107i
\(386\) 6.72527 + 1.18585i 0.0174230 + 0.00307214i
\(387\) 197.963 83.8376i 0.511533 0.216635i
\(388\) 33.5128 + 190.061i 0.0863732 + 0.489847i
\(389\) 154.857 115.287i 0.398090 0.296367i −0.379436 0.925218i \(-0.623882\pi\)
0.777526 + 0.628851i \(0.216474\pi\)
\(390\) 1.30396 + 50.5942i 0.00334348 + 0.129729i
\(391\) 224.726 + 238.196i 0.574748 + 0.609197i
\(392\) −48.5762 14.5428i −0.123919 0.0370989i
\(393\) −513.585 172.079i −1.30683 0.437860i
\(394\) 318.785 37.2606i 0.809098 0.0945700i
\(395\) −566.956 675.672i −1.43533 1.71056i
\(396\) −188.615 + 93.1620i −0.476300 + 0.235258i
\(397\) −452.742 379.896i −1.14041 0.956917i −0.140957 0.990016i \(-0.545018\pi\)
−0.999452 + 0.0330990i \(0.989462\pi\)
\(398\) 69.2253 105.252i 0.173933 0.264452i
\(399\) −337.192 + 155.874i −0.845093 + 0.390661i
\(400\) −70.5593 + 94.7776i −0.176398 + 0.236944i
\(401\) −168.917 + 336.341i −0.421239 + 0.838757i 0.578494 + 0.815686i \(0.303640\pi\)
−0.999734 + 0.0230704i \(0.992656\pi\)
\(402\) −146.408 + 20.9492i −0.364200 + 0.0521124i
\(403\) −13.4312 3.18326i −0.0333281 0.00789890i
\(404\) 181.706i 0.449768i
\(405\) −335.323 + 495.371i −0.827959 + 1.22314i
\(406\) 558.270 1.37505
\(407\) −169.591 + 715.561i −0.416686 + 1.75814i
\(408\) 85.1879 66.8992i 0.208794 0.163969i
\(409\) 282.570 + 141.912i 0.690881 + 0.346974i 0.759353 0.650679i \(-0.225516\pi\)
−0.0684712 + 0.997653i \(0.521812\pi\)
\(410\) 367.306 + 273.449i 0.895868 + 0.666949i
\(411\) 198.268 + 18.0100i 0.482404 + 0.0438200i
\(412\) −4.17585 2.74650i −0.0101356 0.00666627i
\(413\) 176.044 209.801i 0.426256 0.507992i
\(414\) 298.947 + 131.316i 0.722095 + 0.317188i
\(415\) −788.323 + 661.481i −1.89957 + 1.59393i
\(416\) −1.06080 9.07572i −0.00255000 0.0218166i
\(417\) 319.171 64.7989i 0.765398 0.155393i
\(418\) −71.7488 + 239.658i −0.171648 + 0.573344i
\(419\) −552.722 + 521.466i −1.31915 + 1.24455i −0.370260 + 0.928928i \(0.620731\pi\)
−0.948885 + 0.315621i \(0.897787\pi\)
\(420\) −173.102 + 318.501i −0.412148 + 0.758335i
\(421\) −105.109 141.186i −0.249665 0.335359i 0.659568 0.751644i \(-0.270739\pi\)
−0.909234 + 0.416286i \(0.863332\pi\)
\(422\) −97.0452 + 17.1117i −0.229965 + 0.0405490i
\(423\) −240.145 257.950i −0.567719 0.609812i
\(424\) −32.7282 + 185.611i −0.0771891 + 0.437761i
\(425\) 169.233 + 336.971i 0.398195 + 0.792872i
\(426\) 376.103 31.6463i 0.882871 0.0742870i
\(427\) −794.602 92.8757i −1.86089 0.217507i
\(428\) −1.99534 3.03376i −0.00466200 0.00708823i
\(429\) 48.1035 + 29.8917i 0.112129 + 0.0696777i
\(430\) −71.5515 238.999i −0.166399 0.555811i
\(431\) −105.672 61.0098i −0.245179 0.141554i 0.372376 0.928082i \(-0.378543\pi\)
−0.617555 + 0.786528i \(0.711877\pi\)
\(432\) 52.2016 94.5463i 0.120837 0.218857i
\(433\) 347.589 + 602.041i 0.802745 + 1.39039i 0.917803 + 0.397036i \(0.129961\pi\)
−0.115058 + 0.993359i \(0.536705\pi\)
\(434\) −71.9125 67.8460i −0.165697 0.156327i
\(435\) 219.660 1046.26i 0.504966 2.40519i
\(436\) 17.9032 + 307.387i 0.0410625 + 0.705015i
\(437\) 356.535 153.794i 0.815869 0.351931i
\(438\) −132.887 + 35.1344i −0.303396 + 0.0802154i
\(439\) −38.4537 + 660.225i −0.0875939 + 1.50393i 0.612837 + 0.790209i \(0.290028\pi\)
−0.700431 + 0.713720i \(0.747009\pi\)
\(440\) 83.4948 + 229.400i 0.189761 + 0.521364i
\(441\) −56.1899 + 151.246i −0.127415 + 0.342962i
\(442\) −27.4020 9.97351i −0.0619954 0.0225645i
\(443\) 340.576 + 146.910i 0.768795 + 0.331626i 0.744099 0.668069i \(-0.232879\pi\)
0.0246960 + 0.999695i \(0.492138\pi\)
\(444\) −138.222 351.323i −0.311312 0.791268i
\(445\) −1263.24 + 299.394i −2.83875 + 0.672797i
\(446\) 80.5173 + 339.729i 0.180532 + 0.761724i
\(447\) 316.987 + 252.357i 0.709144 + 0.564557i
\(448\) 25.9224 60.0948i 0.0578624 0.134140i
\(449\) 271.962 747.209i 0.605706 1.66416i −0.133796 0.991009i \(-0.542717\pi\)
0.739502 0.673154i \(-0.235061\pi\)
\(450\) 286.404 + 243.582i 0.636453 + 0.541293i
\(451\) 481.514 175.257i 1.06766 0.388596i
\(452\) −243.808 14.2002i −0.539399 0.0314164i
\(453\) 804.120 + 218.329i 1.77510 + 0.481961i
\(454\) −172.773 400.532i −0.380557 0.882229i
\(455\) 97.4261 5.67442i 0.214123 0.0124713i
\(456\) −39.9926 122.047i −0.0877030 0.267647i
\(457\) −252.553 + 267.691i −0.552633 + 0.585757i −0.942120 0.335275i \(-0.891171\pi\)
0.389487 + 0.921032i \(0.372652\pi\)
\(458\) 41.6553 24.0497i 0.0909504 0.0525102i
\(459\) −194.866 284.286i −0.424546 0.619359i
\(460\) 189.454 328.144i 0.411857 0.713357i
\(461\) 7.08981 2.12255i 0.0153792 0.00460423i −0.279104 0.960261i \(-0.590038\pi\)
0.294484 + 0.955657i \(0.404852\pi\)
\(462\) 191.332 + 357.686i 0.414138 + 0.774212i
\(463\) 200.805 132.071i 0.433704 0.285252i −0.313825 0.949481i \(-0.601611\pi\)
0.747529 + 0.664229i \(0.231240\pi\)
\(464\) −22.4075 + 191.708i −0.0482920 + 0.413164i
\(465\) −155.445 + 108.076i −0.334291 + 0.232422i
\(466\) 82.8140 41.5908i 0.177712 0.0892505i
\(467\) −147.477 26.0042i −0.315797 0.0556836i 0.0135031 0.999909i \(-0.495702\pi\)
−0.329300 + 0.944225i \(0.606813\pi\)
\(468\) −29.0368 + 1.49772i −0.0620443 + 0.00320025i
\(469\) 49.5226 + 280.856i 0.105592 + 0.598841i
\(470\) −328.053 + 244.227i −0.697986 + 0.519631i
\(471\) −499.486 + 305.802i −1.06048 + 0.649261i
\(472\) 64.9790 + 68.8737i 0.137667 + 0.145919i
\(473\) −267.443 80.0672i −0.565419 0.169275i
\(474\) 379.644 335.602i 0.800937 0.708020i
\(475\) 444.085 51.9061i 0.934917 0.109276i
\(476\) −134.254 159.998i −0.282047 0.336130i
\(477\) 582.624 + 142.179i 1.22143 + 0.298069i
\(478\) 116.742 + 97.9584i 0.244231 + 0.204934i
\(479\) −298.650 + 454.076i −0.623487 + 0.947966i 0.376283 + 0.926505i \(0.377202\pi\)
−0.999770 + 0.0214609i \(0.993168\pi\)
\(480\) −102.424 72.2265i −0.213384 0.150472i
\(481\) −60.6945 + 81.5268i −0.126184 + 0.169494i
\(482\) 104.911 208.894i 0.217657 0.433390i
\(483\) 234.398 584.351i 0.485296 1.20984i
\(484\) 30.3365 + 7.18989i 0.0626788 + 0.0148551i
\(485\) 712.634i 1.46935i
\(486\) −289.453 185.243i −0.595582 0.381158i
\(487\) −409.714 −0.841302 −0.420651 0.907222i \(-0.638198\pi\)
−0.420651 + 0.907222i \(0.638198\pi\)
\(488\) 63.7864 269.136i 0.130710 0.551508i
\(489\) 34.7277 + 13.9302i 0.0710178 + 0.0284870i
\(490\) 167.320 + 84.0312i 0.341469 + 0.171492i
\(491\) −51.1217 38.0587i −0.104117 0.0775126i 0.543841 0.839188i \(-0.316970\pi\)
−0.647958 + 0.761676i \(0.724377\pi\)
\(492\) −151.604 + 214.990i −0.308139 + 0.436971i
\(493\) 514.631 + 338.478i 1.04388 + 0.686568i
\(494\) −22.2251 + 26.4868i −0.0449901 + 0.0536171i
\(495\) 745.623 217.838i 1.50631 0.440077i
\(496\) 26.1845 21.9714i 0.0527913 0.0442971i
\(497\) −84.4910 722.867i −0.170002 1.45446i
\(498\) −391.555 442.940i −0.786254 0.889438i
\(499\) −118.380 + 395.416i −0.237234 + 0.792417i 0.753600 + 0.657333i \(0.228316\pi\)
−0.990834 + 0.135084i \(0.956870\pi\)
\(500\) 48.7708 46.0129i 0.0975416 0.0920257i
\(501\) 207.041 + 338.174i 0.413256 + 0.674998i
\(502\) −67.2011 90.2668i −0.133867 0.179814i
\(503\) 624.038 110.035i 1.24063 0.218757i 0.485446 0.874267i \(-0.338657\pi\)
0.755187 + 0.655510i \(0.227546\pi\)
\(504\) −185.476 94.6976i −0.368008 0.187892i
\(505\) 116.511 660.765i 0.230714 1.30844i
\(506\) −190.293 378.904i −0.376073 0.748822i
\(507\) −284.954 409.847i −0.562039 0.808377i
\(508\) −256.012 29.9235i −0.503960 0.0589045i
\(509\) 145.013 + 220.482i 0.284898 + 0.433166i 0.949376 0.314141i \(-0.101717\pi\)
−0.664478 + 0.747308i \(0.731346\pi\)
\(510\) −352.677 + 188.653i −0.691524 + 0.369907i
\(511\) 76.0161 + 253.911i 0.148759 + 0.496891i
\(512\) 19.5959 + 11.3137i 0.0382733 + 0.0220971i
\(513\) −395.779 + 101.833i −0.771499 + 0.198504i
\(514\) −190.681 330.269i −0.370974 0.642546i
\(515\) 13.4242 + 12.6651i 0.0260664 + 0.0245924i
\(516\) 136.197 44.6293i 0.263948 0.0864908i
\(517\) 26.6103 + 456.882i 0.0514707 + 0.883717i
\(518\) −668.450 + 288.341i −1.29044 + 0.556643i
\(519\) −137.441 + 506.204i −0.264818 + 0.975345i
\(520\) −1.96184 + 33.6836i −0.00377278 + 0.0647761i
\(521\) 76.0911 + 209.059i 0.146048 + 0.401264i 0.991049 0.133502i \(-0.0426221\pi\)
−0.845000 + 0.534766i \(0.820400\pi\)
\(522\) 604.112 + 110.664i 1.15730 + 0.212000i
\(523\) 464.275 + 168.982i 0.887716 + 0.323102i 0.745319 0.666708i \(-0.232297\pi\)
0.142396 + 0.989810i \(0.454519\pi\)
\(524\) −331.566 143.024i −0.632759 0.272946i
\(525\) 451.547 567.191i 0.860089 1.08036i
\(526\) 550.658 130.508i 1.04688 0.248115i
\(527\) −25.1564 106.143i −0.0477350 0.201410i
\(528\) −130.508 + 51.3462i −0.247174 + 0.0972466i
\(529\) −51.1367 + 118.548i −0.0966668 + 0.224099i
\(530\) 238.029 653.978i 0.449111 1.23392i
\(531\) 232.088 192.132i 0.437076 0.361830i
\(532\) −232.716 + 84.7017i −0.437436 + 0.159214i
\(533\) 70.7022 + 4.11794i 0.132650 + 0.00772596i
\(534\) −190.639 721.046i −0.357002 1.35027i
\(535\) 5.31068 + 12.3115i 0.00992650 + 0.0230122i
\(536\) −98.4329 + 5.73307i −0.183644 + 0.0106960i
\(537\) 521.978 + 109.589i 0.972027 + 0.204076i
\(538\) 290.776 308.204i 0.540475 0.572870i
\(539\) 181.449 104.760i 0.336641 0.194360i
\(540\) −250.452 + 310.341i −0.463799 + 0.574705i
\(541\) 415.628 719.890i 0.768260 1.33066i −0.170246 0.985402i \(-0.554456\pi\)
0.938506 0.345263i \(-0.112210\pi\)
\(542\) 324.181 97.0533i 0.598119 0.179065i
\(543\) 269.048 432.968i 0.495485 0.797363i
\(544\) 60.3315 39.6806i 0.110903 0.0729423i
\(545\) 131.993 1129.28i 0.242190 2.07206i
\(546\) 4.70083 + 55.8675i 0.00860958 + 0.102321i
\(547\) −179.107 + 89.9511i −0.327436 + 0.164444i −0.604921 0.796285i \(-0.706795\pi\)
0.277485 + 0.960730i \(0.410499\pi\)
\(548\) 130.707 + 23.0471i 0.238516 + 0.0420568i
\(549\) −841.440 258.014i −1.53268 0.469970i
\(550\) −84.7806 480.815i −0.154147 0.874209i
\(551\) 585.837 436.140i 1.06323 0.791542i
\(552\) 191.256 + 103.946i 0.346479 + 0.188308i
\(553\) −670.509 710.698i −1.21249 1.28517i
\(554\) −574.216 171.909i −1.03649 0.310305i
\(555\) 277.369 + 1366.20i 0.499763 + 2.46162i
\(556\) 215.653 25.2063i 0.387866 0.0453350i
\(557\) 109.391 + 130.368i 0.196394 + 0.234053i 0.855250 0.518216i \(-0.173404\pi\)
−0.658856 + 0.752269i \(0.728959\pi\)
\(558\) −64.3687 87.6721i −0.115356 0.157119i
\(559\) −29.5577 24.8018i −0.0528760 0.0443682i
\(560\) −132.798 + 201.910i −0.237140 + 0.360554i
\(561\) −40.4887 + 445.731i −0.0721724 + 0.794529i
\(562\) −278.578 + 374.195i −0.495690 + 0.665828i
\(563\) −12.2266 + 24.3452i −0.0217169 + 0.0432419i −0.904229 0.427047i \(-0.859554\pi\)
0.882513 + 0.470289i \(0.155850\pi\)
\(564\) −145.114 184.785i −0.257294 0.327633i
\(565\) 877.491 + 207.969i 1.55308 + 0.368087i
\(566\) 184.394i 0.325785i
\(567\) −338.923 + 569.423i −0.597747 + 1.00427i
\(568\) 251.621 0.442995
\(569\) 69.7536 294.313i 0.122590 0.517247i −0.876751 0.480944i \(-0.840294\pi\)
0.999341 0.0363024i \(-0.0115580\pi\)
\(570\) 67.1739 + 469.461i 0.117849 + 0.823616i
\(571\) 256.588 + 128.863i 0.449366 + 0.225680i 0.659065 0.752086i \(-0.270952\pi\)
−0.209699 + 0.977766i \(0.567248\pi\)
\(572\) 30.2852 + 22.5465i 0.0529462 + 0.0394170i
\(573\) 290.242 + 627.863i 0.506531 + 1.09575i
\(574\) 423.812 + 278.745i 0.738348 + 0.485619i
\(575\) −487.102 + 580.506i −0.847134 + 1.00958i
\(576\) 39.9634 59.8910i 0.0693809 0.103977i
\(577\) −411.746 + 345.496i −0.713597 + 0.598779i −0.925606 0.378489i \(-0.876444\pi\)
0.212009 + 0.977268i \(0.431999\pi\)
\(578\) 20.6947 + 177.055i 0.0358040 + 0.306323i
\(579\) 4.60231 13.7360i 0.00794872 0.0237237i
\(580\) 204.408 682.769i 0.352427 1.17719i
\(581\) −829.190 + 782.300i −1.42718 + 1.34647i
\(582\) 409.263 10.5479i 0.703201 0.0181235i
\(583\) −465.054 624.676i −0.797691 1.07149i
\(584\) −90.2435 + 15.9124i −0.154527 + 0.0272472i
\(585\) 106.551 + 13.1721i 0.182138 + 0.0225164i
\(586\) −61.1608 + 346.860i −0.104370 + 0.591911i
\(587\) 160.748 + 320.076i 0.273847 + 0.545274i 0.987951 0.154765i \(-0.0494621\pi\)
−0.714104 + 0.700039i \(0.753166\pi\)
\(588\) −45.7823 + 97.3350i −0.0778610 + 0.165536i
\(589\) −128.467 15.0157i −0.218111 0.0254935i
\(590\) −192.131 292.120i −0.325645 0.495119i
\(591\) 22.0627 680.490i 0.0373312 1.15142i
\(592\) −72.1857 241.117i −0.121935 0.407292i
\(593\) −387.608 223.785i −0.653639 0.377379i 0.136210 0.990680i \(-0.456508\pi\)
−0.789849 + 0.613301i \(0.789841\pi\)
\(594\) 136.140 + 424.985i 0.229192 + 0.715462i
\(595\) 385.617 + 667.909i 0.648097 + 1.12254i
\(596\) 196.475 + 185.364i 0.329655 + 0.311014i
\(597\) −199.041 178.320i −0.333403 0.298694i
\(598\) −3.40743 58.5033i −0.00569804 0.0978316i
\(599\) 117.709 50.7748i 0.196509 0.0847659i −0.295551 0.955327i \(-0.595503\pi\)
0.492060 + 0.870561i \(0.336244\pi\)
\(600\) 176.648 + 177.825i 0.294413 + 0.296375i
\(601\) 16.4140 281.818i 0.0273112 0.468915i −0.956730 0.290976i \(-0.906020\pi\)
0.984042 0.177939i \(-0.0569430\pi\)
\(602\) −94.5219 259.697i −0.157013 0.431390i
\(603\) −2.08425 + 313.736i −0.00345647 + 0.520291i
\(604\) 521.988 + 189.988i 0.864219 + 0.314550i
\(605\) −105.707 45.5976i −0.174722 0.0753679i
\(606\) 381.199 + 57.1315i 0.629042 + 0.0942764i
\(607\) −654.557 + 155.133i −1.07835 + 0.255573i −0.731148 0.682219i \(-0.761015\pi\)
−0.347199 + 0.937792i \(0.612867\pi\)
\(608\) −19.7457 83.3137i −0.0324765 0.137029i
\(609\) 175.530 1171.19i 0.288226 1.92313i
\(610\) −404.527 + 937.799i −0.663159 + 1.53738i
\(611\) −21.6340 + 59.4389i −0.0354075 + 0.0972813i
\(612\) −113.563 199.749i −0.185560 0.326387i
\(613\) −339.176 + 123.450i −0.553306 + 0.201387i −0.603515 0.797352i \(-0.706234\pi\)
0.0502089 + 0.998739i \(0.484011\pi\)
\(614\) 650.591 + 37.8926i 1.05959 + 0.0617144i
\(615\) 689.153 684.590i 1.12057 1.11315i
\(616\) 107.112 + 248.313i 0.173883 + 0.403105i
\(617\) −513.612 + 29.9145i −0.832434 + 0.0484838i −0.469067 0.883162i \(-0.655410\pi\)
−0.363367 + 0.931646i \(0.618373\pi\)
\(618\) −7.07482 + 7.89694i −0.0114479 + 0.0127782i
\(619\) −204.978 + 217.264i −0.331143 + 0.350991i −0.871457 0.490473i \(-0.836824\pi\)
0.540313 + 0.841464i \(0.318306\pi\)
\(620\) −109.307 + 63.1082i −0.176301 + 0.101787i
\(621\) 369.480 585.871i 0.594976 0.943431i
\(622\) −94.9817 + 164.513i −0.152704 + 0.264491i
\(623\) −1377.72 + 412.463i −2.21143 + 0.662059i
\(624\) −19.3734 0.628120i −0.0310471 0.00100660i
\(625\) 410.143 269.755i 0.656229 0.431609i
\(626\) 46.0830 394.265i 0.0736151 0.629817i
\(627\) 480.216 + 225.874i 0.765895 + 0.360245i
\(628\) −348.911 + 175.230i −0.555591 + 0.279029i
\(629\) −791.019 139.478i −1.25758 0.221746i
\(630\) 613.753 + 463.291i 0.974211 + 0.735382i
\(631\) −56.2479 318.998i −0.0891409 0.505543i −0.996386 0.0849409i \(-0.972930\pi\)
0.907245 0.420602i \(-0.138181\pi\)
\(632\) 270.964 201.725i 0.428741 0.319186i
\(633\) 5.38577 + 208.970i 0.00850833 + 0.330127i
\(634\) −429.751 455.509i −0.677840 0.718469i
\(635\) 911.787 + 272.971i 1.43588 + 0.429876i
\(636\) 379.101 + 127.019i 0.596070 + 0.199716i
\(637\) 28.7623 3.36183i 0.0451528 0.00527760i
\(638\) −512.645 610.947i −0.803519 0.957597i
\(639\) 51.8628 798.973i 0.0811624 1.25035i
\(640\) −64.0051 53.7067i −0.100008 0.0839167i
\(641\) −123.579 + 187.893i −0.192791 + 0.293125i −0.918928 0.394425i \(-0.870944\pi\)
0.726137 + 0.687550i \(0.241314\pi\)
\(642\) −6.99187 + 3.23213i −0.0108908 + 0.00503447i
\(643\) 15.0426 20.2057i 0.0233944 0.0314241i −0.790272 0.612756i \(-0.790061\pi\)
0.813666 + 0.581332i \(0.197468\pi\)
\(644\) 188.379 375.093i 0.292514 0.582443i
\(645\) −523.890 + 74.9619i −0.812232 + 0.116220i
\(646\) −265.880 63.0146i −0.411578 0.0975459i
\(647\) 19.0762i 0.0294841i −0.999891 0.0147421i \(-0.995307\pi\)
0.999891 0.0147421i \(-0.00469272\pi\)
\(648\) −181.935 139.240i −0.280763 0.214877i
\(649\) −391.253 −0.602855
\(650\) 15.5618 65.6606i 0.0239413 0.101016i
\(651\) −164.944 + 129.533i −0.253370 + 0.198975i
\(652\) 22.2916 + 11.1953i 0.0341896 + 0.0171707i
\(653\) 28.5423 + 21.2490i 0.0437095 + 0.0325405i 0.618792 0.785555i \(-0.287623\pi\)
−0.575082 + 0.818096i \(0.695030\pi\)
\(654\) 650.493 + 59.0886i 0.994637 + 0.0903495i
\(655\) 1114.01 + 732.699i 1.70079 + 1.11862i
\(656\) −112.731 + 134.348i −0.171846 + 0.204798i
\(657\) 31.9260 + 289.830i 0.0485936 + 0.441141i
\(658\) −347.059 + 291.217i −0.527445 + 0.442579i
\(659\) −26.3156 225.144i −0.0399326 0.341645i −0.998405 0.0564594i \(-0.982019\pi\)
0.958472 0.285186i \(-0.0920552\pi\)
\(660\) 507.508 103.036i 0.768952 0.156115i
\(661\) −274.553 + 917.071i −0.415360 + 1.38740i 0.453020 + 0.891500i \(0.350346\pi\)
−0.868380 + 0.495899i \(0.834839\pi\)
\(662\) −83.6682 + 78.9369i −0.126387 + 0.119240i
\(663\) −29.5390 + 54.3505i −0.0445535 + 0.0819766i
\(664\) −235.358 316.141i −0.354455 0.476115i
\(665\) 900.571 158.795i 1.35424 0.238789i
\(666\) −780.497 + 179.513i −1.17192 + 0.269540i
\(667\) −214.954 + 1219.07i −0.322270 + 1.82768i
\(668\) 118.638 + 236.228i 0.177602 + 0.353635i
\(669\) 738.030 62.0998i 1.10318 0.0928248i
\(670\) 361.622 + 42.2676i 0.539735 + 0.0630859i
\(671\) 628.024 + 954.863i 0.935952 + 1.42305i
\(672\) −117.922 73.2771i −0.175479 0.109043i
\(673\) 59.2091 + 197.772i 0.0879779 + 0.293867i 0.990643 0.136476i \(-0.0435778\pi\)
−0.902665 + 0.430343i \(0.858393\pi\)
\(674\) −285.971 165.106i −0.424290 0.244964i
\(675\) 601.058 524.257i 0.890456 0.776677i
\(676\) −166.391 288.197i −0.246140 0.426327i
\(677\) 141.911 + 133.886i 0.209617 + 0.197763i 0.783889 0.620901i \(-0.213233\pi\)
−0.574272 + 0.818665i \(0.694715\pi\)
\(678\) −106.448 + 507.018i −0.157003 + 0.747814i
\(679\) −45.9012 788.093i −0.0676011 1.16067i
\(680\) −244.836 + 105.612i −0.360052 + 0.155311i
\(681\) −894.595 + 236.524i −1.31365 + 0.347319i
\(682\) −8.21227 + 140.999i −0.0120414 + 0.206744i
\(683\) 437.357 + 1201.63i 0.640346 + 1.75934i 0.650636 + 0.759390i \(0.274503\pi\)
−0.0102893 + 0.999947i \(0.503275\pi\)
\(684\) −268.616 + 45.5264i −0.392713 + 0.0665590i
\(685\) −460.530 167.619i −0.672307 0.244700i
\(686\) −330.095 142.389i −0.481188 0.207564i
\(687\) −37.3565 94.9498i −0.0543762 0.138209i
\(688\) 92.9729 22.0350i 0.135135 0.0320276i
\(689\) −24.8227 104.735i −0.0360271 0.152010i
\(690\) −628.843 500.628i −0.911367 0.725548i
\(691\) 90.3819 209.529i 0.130799 0.303226i −0.840213 0.542256i \(-0.817570\pi\)
0.971012 + 0.239030i \(0.0768296\pi\)
\(692\) −119.600 + 328.598i −0.172832 + 0.474853i
\(693\) 810.544 288.931i 1.16962 0.416927i
\(694\) −275.789 + 100.379i −0.397391 + 0.144638i
\(695\) −800.375 46.6165i −1.15162 0.0670741i
\(696\) 395.137 + 107.285i 0.567726 + 0.154145i
\(697\) 221.680 + 513.913i 0.318049 + 0.737321i
\(698\) −528.509 + 30.7822i −0.757176 + 0.0441005i
\(699\) −61.2147 186.811i −0.0875747 0.267255i
\(700\) 331.676 351.556i 0.473822 0.502222i
\(701\) −44.1583 + 25.4948i −0.0629933 + 0.0363692i −0.531166 0.847268i \(-0.678246\pi\)
0.468173 + 0.883637i \(0.344913\pi\)
\(702\) −5.98760 + 61.3868i −0.00852935 + 0.0874456i
\(703\) −476.196 + 824.795i −0.677377 + 1.17325i
\(704\) −89.5690 + 26.8152i −0.127229 + 0.0380898i
\(705\) 409.215 + 765.009i 0.580447 + 1.08512i
\(706\) 466.468 306.801i 0.660719 0.434562i
\(707\) 86.2874 738.236i 0.122047 1.04418i
\(708\) 164.920 114.664i 0.232938 0.161954i
\(709\) −21.9538 + 11.0256i −0.0309645 + 0.0155509i −0.464214 0.885723i \(-0.653663\pi\)
0.433250 + 0.901274i \(0.357367\pi\)
\(710\) −915.008 161.341i −1.28874 0.227240i
\(711\) −584.688 901.970i −0.822347 1.26859i
\(712\) −86.3404 489.661i −0.121265 0.687726i
\(713\) 175.841 130.909i 0.246621 0.183602i
\(714\) −377.870 + 231.345i −0.529230 + 0.324012i
\(715\) −95.6737 101.408i −0.133809 0.141830i
\(716\) 340.634 + 101.979i 0.475746 + 0.142429i
\(717\) 242.212 214.113i 0.337813 0.298623i
\(718\) 305.456 35.7027i 0.425426 0.0497252i
\(719\) 295.098 + 351.685i 0.410429 + 0.489130i 0.931170 0.364584i \(-0.118789\pi\)
−0.520741 + 0.853714i \(0.674344\pi\)
\(720\) −183.727 + 192.166i −0.255177 + 0.266897i
\(721\) 15.6614 + 13.1415i 0.0217218 + 0.0182268i
\(722\) 102.506 155.853i 0.141975 0.215862i
\(723\) −405.251 285.771i −0.560513 0.395257i
\(724\) 202.936 272.590i 0.280298 0.376505i
\(725\) −639.711 + 1273.77i −0.882360 + 1.75692i
\(726\) 24.6219 61.3821i 0.0339145 0.0845483i
\(727\) −451.045 106.900i −0.620419 0.147042i −0.0916271 0.995793i \(-0.529207\pi\)
−0.528792 + 0.848751i \(0.677355\pi\)
\(728\) 37.3766i 0.0513415i
\(729\) −479.628 + 548.997i −0.657926 + 0.753083i
\(730\) 338.369 0.463519
\(731\) 70.3205 296.705i 0.0961976 0.405890i
\(732\) −544.562 218.438i −0.743938 0.298412i
\(733\) 508.507 + 255.382i 0.693734 + 0.348406i 0.760478 0.649364i \(-0.224965\pi\)
−0.0667438 + 0.997770i \(0.521261\pi\)
\(734\) 587.763 + 437.573i 0.800766 + 0.596148i
\(735\) 228.897 324.598i 0.311424 0.441630i
\(736\) 121.245 + 79.7440i 0.164735 + 0.108348i
\(737\) 261.882 312.099i 0.355335 0.423472i
\(738\) 403.358 + 385.646i 0.546556 + 0.522555i
\(739\) 353.663 296.758i 0.478569 0.401567i −0.371340 0.928497i \(-0.621101\pi\)
0.849909 + 0.526930i \(0.176657\pi\)
\(740\) 107.894 + 923.095i 0.145803 + 1.24743i
\(741\) 48.5785 + 54.9537i 0.0655580 + 0.0741615i
\(742\) 221.110 738.558i 0.297991 0.995361i
\(743\) 630.319 594.676i 0.848344 0.800371i −0.133304 0.991075i \(-0.542559\pi\)
0.981648 + 0.190704i \(0.0610771\pi\)
\(744\) −37.8607 61.8403i −0.0508880 0.0831187i
\(745\) −595.613 800.048i −0.799481 1.07389i
\(746\) −512.058 + 90.2896i −0.686405 + 0.121032i
\(747\) −1052.35 + 682.171i −1.40877 + 0.913214i
\(748\) −51.8127 + 293.844i −0.0692683 + 0.392840i
\(749\) 6.66600 + 13.2731i 0.00889987 + 0.0177211i
\(750\) −81.1956 116.783i −0.108261 0.155711i
\(751\) 8.35046 + 0.976029i 0.0111191 + 0.00129964i 0.121651 0.992573i \(-0.461181\pi\)
−0.110532 + 0.993873i \(0.535255\pi\)
\(752\) −86.0730 130.868i −0.114459 0.174026i
\(753\) −210.499 + 112.599i −0.279547 + 0.149534i
\(754\) −31.6140 105.598i −0.0419283 0.140050i
\(755\) −1776.36 1025.58i −2.35280 1.35839i
\(756\) −256.982 + 359.334i −0.339923 + 0.475309i
\(757\) −288.642 499.943i −0.381297 0.660426i 0.609951 0.792439i \(-0.291189\pi\)
−0.991248 + 0.132013i \(0.957856\pi\)
\(758\) −143.166 135.070i −0.188873 0.178193i
\(759\) −854.730 + 280.079i −1.12613 + 0.369011i
\(760\) 18.3832 + 315.627i 0.0241884 + 0.415299i
\(761\) 431.783 186.253i 0.567388 0.244747i −0.0930071 0.995665i \(-0.529648\pi\)
0.660395 + 0.750918i \(0.270389\pi\)
\(762\) −143.271 + 527.676i −0.188019 + 0.692489i
\(763\) 73.2325 1257.35i 0.0959796 1.64791i
\(764\) 157.717 + 433.325i 0.206436 + 0.567179i
\(765\) 284.885 + 799.194i 0.372398 + 1.04470i
\(766\) 109.547 + 39.8718i 0.143012 + 0.0520519i
\(767\) −49.6533 21.4183i −0.0647370 0.0279248i
\(768\) 29.8962 37.5529i 0.0389273 0.0488969i
\(769\) 783.510 185.695i 1.01887 0.241476i 0.312950 0.949770i \(-0.398683\pi\)
0.705918 + 0.708293i \(0.250535\pi\)
\(770\) −230.287 971.657i −0.299074 1.26189i
\(771\) −752.821 + 296.185i −0.976421 + 0.384157i