Properties

Label 547.2.o.a.4.12
Level 547
Weight 2
Character 547.4
Analytic conductor 4.368
Analytic rank 0
Dimension 6480
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 547 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 547.o (of order \(273\), degree \(144\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36781699056\)
Analytic rank: \(0\)
Dimension: \(6480\)
Relative dimension: \(45\) over \(\Q(\zeta_{273})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{273}]$

Embedding invariants

Embedding label 4.12
Character \(\chi\) \(=\) 547.4
Dual form 547.2.o.a.137.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.48739 - 0.0171172i) q^{2} +(-0.358018 + 1.56858i) q^{3} +(0.212570 + 0.00489324i) q^{4} +(1.55631 - 2.92429i) q^{5} +(0.559362 - 2.32696i) q^{6} +(-0.286333 - 0.705581i) q^{7} +(2.65712 + 0.0917681i) q^{8} +(0.370646 + 0.178494i) q^{9} +O(q^{10})\) \(q+(-1.48739 - 0.0171172i) q^{2} +(-0.358018 + 1.56858i) q^{3} +(0.212570 + 0.00489324i) q^{4} +(1.55631 - 2.92429i) q^{5} +(0.559362 - 2.32696i) q^{6} +(-0.286333 - 0.705581i) q^{7} +(2.65712 + 0.0917681i) q^{8} +(0.370646 + 0.178494i) q^{9} +(-2.36490 + 4.32292i) q^{10} +(-1.81023 - 1.88465i) q^{11} +(-0.0837794 + 0.331681i) q^{12} +(-3.95628 - 0.596314i) q^{13} +(0.413812 + 1.05438i) q^{14} +(4.02979 + 3.48814i) q^{15} +(-4.37540 - 0.201545i) q^{16} +(0.346163 - 2.05527i) q^{17} +(-0.548240 - 0.271834i) q^{18} +(-2.33329 + 1.25906i) q^{19} +(0.345135 - 0.614002i) q^{20} +(1.20927 - 0.196526i) q^{21} +(2.66026 + 2.83420i) q^{22} +(-3.53575 - 0.828443i) q^{23} +(-1.09524 + 4.13504i) q^{24} +(-3.33658 - 4.95488i) q^{25} +(5.87433 + 0.954672i) q^{26} +(-3.42211 + 4.29119i) q^{27} +(-0.0574134 - 0.151387i) q^{28} +(3.74701 + 2.13468i) q^{29} +(-5.93417 - 5.25722i) q^{30} +(-7.64688 - 2.75007i) q^{31} +(1.19589 + 0.0688855i) q^{32} +(3.60432 - 2.16475i) q^{33} +(-0.550060 + 3.05106i) q^{34} +(-2.50895 - 0.260782i) q^{35} +(0.0779149 + 0.0397561i) q^{36} +(6.18185 - 4.98832i) q^{37} +(3.49207 - 1.83278i) q^{38} +(2.35178 - 5.99225i) q^{39} +(4.40366 - 7.62736i) q^{40} +(-3.86068 - 6.68690i) q^{41} +(-1.80202 + 0.271611i) q^{42} +(0.607581 - 6.19169i) q^{43} +(-0.375580 - 0.409479i) q^{44} +(1.09881 - 0.806084i) q^{45} +(5.24486 + 1.29274i) q^{46} +(0.124689 - 0.0100659i) q^{47} +(1.88261 - 6.79101i) q^{48} +(4.60458 - 4.47398i) q^{49} +(4.87799 + 7.42696i) q^{50} +(3.09991 + 1.27881i) q^{51} +(-0.838071 - 0.146118i) q^{52} +(-8.57712 + 2.97360i) q^{53} +(5.16347 - 6.32410i) q^{54} +(-8.32855 + 2.36054i) q^{55} +(-0.696071 - 1.90109i) q^{56} +(-1.13958 - 4.11072i) q^{57} +(-5.53673 - 3.23925i) q^{58} +(8.53753 - 3.63750i) q^{59} +(0.839546 + 0.761195i) q^{60} +(2.83001 - 1.32296i) q^{61} +(11.3268 + 4.22132i) q^{62} +(0.0198134 - 0.312629i) q^{63} +(6.96164 + 0.481439i) q^{64} +(-7.90100 + 10.6413i) q^{65} +(-5.39809 + 3.15814i) q^{66} +(-8.79866 - 8.54910i) q^{67} +(0.0836409 - 0.435195i) q^{68} +(2.56534 - 5.24950i) q^{69} +(3.72732 + 0.430831i) q^{70} +(-2.91112 + 0.576882i) q^{71} +(0.968469 + 0.508292i) q^{72} +(-0.285056 + 0.246741i) q^{73} +(-9.28021 + 7.31376i) q^{74} +(8.96668 - 3.45976i) q^{75} +(-0.502150 + 0.256222i) q^{76} +(-0.811444 + 1.81690i) q^{77} +(-3.60059 + 8.87256i) q^{78} +(0.136677 + 0.0978667i) q^{79} +(-7.39887 + 12.4813i) q^{80} +(-4.73641 - 5.93926i) q^{81} +(5.62789 + 10.0121i) q^{82} +(-5.01220 - 3.16952i) q^{83} +(0.258017 - 0.0358583i) q^{84} +(-5.47146 - 4.21092i) q^{85} +(-1.00969 + 9.19907i) q^{86} +(-4.68991 + 5.11322i) q^{87} +(-4.63705 - 5.17386i) q^{88} +(0.318691 + 3.68334i) q^{89} +(-1.64815 + 1.18015i) q^{90} +(0.712068 + 2.96222i) q^{91} +(-0.747541 - 0.193404i) q^{92} +(7.05141 - 11.0102i) q^{93} +(-0.185634 + 0.0128377i) q^{94} +(0.0505349 + 8.78272i) q^{95} +(-0.536201 + 1.85118i) q^{96} +(1.39729 + 10.4967i) q^{97} +(-6.92539 + 6.57574i) q^{98} +(-0.334557 - 1.02165i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} + O(q^{10}) \) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} - 152q^{10} - 161q^{11} - 99q^{12} - 158q^{13} - 174q^{14} - 71q^{15} - 235q^{16} - 146q^{17} + 33q^{18} - 144q^{19} - 138q^{20} - 98q^{21} - 226q^{22} - 115q^{23} - 123q^{24} - 208q^{25} - 65q^{26} + 131q^{27} - 48q^{28} - 207q^{29} - 56q^{30} - 215q^{31} - 151q^{32} - 63q^{33} - 70q^{34} - 192q^{35} - 17q^{36} - 124q^{37} - 61q^{38} - 268q^{39} - 51q^{40} + 533q^{41} + 292q^{42} - 166q^{43} - 20q^{44} + 51q^{45} - 233q^{46} - 96q^{47} - 211q^{48} - 213q^{49} + 12q^{50} - 213q^{51} - 279q^{52} - 178q^{53} + 173q^{54} - 233q^{55} + 170q^{56} - 22q^{57} + 36q^{58} - 133q^{59} + 225q^{60} - 117q^{61} - 176q^{62} + 202q^{63} + 154q^{64} - 320q^{65} - 124q^{66} - 78q^{67} + 441q^{68} + 203q^{69} - 522q^{70} - 195q^{71} + 564q^{72} - 254q^{73} + 22q^{74} - 326q^{75} - 186q^{76} - 182q^{77} - 100q^{78} - 268q^{79} - 299q^{80} - 776q^{81} - 242q^{82} + 78q^{83} + 162q^{84} - 144q^{85} - 132q^{86} - 84q^{87} + 333q^{88} - 167q^{89} - 134q^{90} - 268q^{91} - 261q^{92} - 21q^{93} + 297q^{94} - 65q^{95} - 567q^{96} + 427q^{97} - 237q^{98} + 237q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{273}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.48739 0.0171172i −1.05174 0.0121037i −0.516085 0.856537i \(-0.672611\pi\)
−0.535660 + 0.844434i \(0.679937\pi\)
\(3\) −0.358018 + 1.56858i −0.206702 + 0.905619i 0.760042 + 0.649873i \(0.225178\pi\)
−0.966744 + 0.255746i \(0.917679\pi\)
\(4\) 0.212570 + 0.00489324i 0.106285 + 0.00244662i
\(5\) 1.55631 2.92429i 0.696004 1.30778i −0.245045 0.969512i \(-0.578803\pi\)
0.941049 0.338271i \(-0.109842\pi\)
\(6\) 0.559362 2.32696i 0.228359 0.949978i
\(7\) −0.286333 0.705581i −0.108224 0.266684i 0.862852 0.505457i \(-0.168676\pi\)
−0.971075 + 0.238773i \(0.923255\pi\)
\(8\) 2.65712 + 0.0917681i 0.939432 + 0.0324449i
\(9\) 0.370646 + 0.178494i 0.123549 + 0.0594979i
\(10\) −2.36490 + 4.32292i −0.747847 + 1.36703i
\(11\) −1.81023 1.88465i −0.545806 0.568244i 0.389976 0.920825i \(-0.372483\pi\)
−0.935781 + 0.352581i \(0.885304\pi\)
\(12\) −0.0837794 + 0.331681i −0.0241850 + 0.0957482i
\(13\) −3.95628 0.596314i −1.09728 0.165388i −0.424640 0.905362i \(-0.639599\pi\)
−0.672635 + 0.739974i \(0.734838\pi\)
\(14\) 0.413812 + 1.05438i 0.110596 + 0.281794i
\(15\) 4.02979 + 3.48814i 1.04049 + 0.900635i
\(16\) −4.37540 0.201545i −1.09385 0.0503863i
\(17\) 0.346163 2.05527i 0.0839568 0.498476i −0.912116 0.409933i \(-0.865552\pi\)
0.996072 0.0885424i \(-0.0282209\pi\)
\(18\) −0.548240 0.271834i −0.129221 0.0640720i
\(19\) −2.33329 + 1.25906i −0.535294 + 0.288849i −0.720034 0.693938i \(-0.755874\pi\)
0.184740 + 0.982787i \(0.440856\pi\)
\(20\) 0.345135 0.614002i 0.0771745 0.137295i
\(21\) 1.20927 0.196526i 0.263884 0.0428854i
\(22\) 2.66026 + 2.83420i 0.567170 + 0.604254i
\(23\) −3.53575 0.828443i −0.737254 0.172742i −0.157483 0.987522i \(-0.550338\pi\)
−0.579771 + 0.814779i \(0.696858\pi\)
\(24\) −1.09524 + 4.13504i −0.223565 + 0.844061i
\(25\) −3.33658 4.95488i −0.667317 0.990977i
\(26\) 5.87433 + 0.954672i 1.15205 + 0.187227i
\(27\) −3.42211 + 4.29119i −0.658585 + 0.825840i
\(28\) −0.0574134 0.151387i −0.0108501 0.0286094i
\(29\) 3.74701 + 2.13468i 0.695802 + 0.396401i 0.801498 0.597998i \(-0.204037\pi\)
−0.105696 + 0.994398i \(0.533707\pi\)
\(30\) −5.93417 5.25722i −1.08343 0.959832i
\(31\) −7.64688 2.75007i −1.37342 0.493926i −0.455339 0.890318i \(-0.650482\pi\)
−0.918082 + 0.396391i \(0.870262\pi\)
\(32\) 1.19589 + 0.0688855i 0.211405 + 0.0121773i
\(33\) 3.60432 2.16475i 0.627431 0.376835i
\(34\) −0.550060 + 3.05106i −0.0943345 + 0.523253i
\(35\) −2.50895 0.260782i −0.424089 0.0440802i
\(36\) 0.0779149 + 0.0397561i 0.0129858 + 0.00662602i
\(37\) 6.18185 4.98832i 1.01629 0.820074i 0.0325125 0.999471i \(-0.489649\pi\)
0.983777 + 0.179397i \(0.0574147\pi\)
\(38\) 3.49207 1.83278i 0.566489 0.297316i
\(39\) 2.35178 5.99225i 0.376587 0.959528i
\(40\) 4.40366 7.62736i 0.696279 1.20599i
\(41\) −3.86068 6.68690i −0.602938 1.04432i −0.992374 0.123265i \(-0.960663\pi\)
0.389436 0.921053i \(-0.372670\pi\)
\(42\) −1.80202 + 0.271611i −0.278058 + 0.0419105i
\(43\) 0.607581 6.19169i 0.0926552 0.944225i −0.829785 0.558084i \(-0.811537\pi\)
0.922440 0.386141i \(-0.126192\pi\)
\(44\) −0.375580 0.409479i −0.0566208 0.0617313i
\(45\) 1.09881 0.806084i 0.163801 0.120164i
\(46\) 5.24486 + 1.29274i 0.773312 + 0.190604i
\(47\) 0.124689 0.0100659i 0.0181878 0.00146827i −0.0713693 0.997450i \(-0.522737\pi\)
0.0895571 + 0.995982i \(0.471455\pi\)
\(48\) 1.88261 6.79101i 0.271732 0.980197i
\(49\) 4.60458 4.47398i 0.657797 0.639139i
\(50\) 4.87799 + 7.42696i 0.689852 + 1.05033i
\(51\) 3.09991 + 1.27881i 0.434075 + 0.179069i
\(52\) −0.838071 0.146118i −0.116219 0.0202629i
\(53\) −8.57712 + 2.97360i −1.17816 + 0.408455i −0.845181 0.534480i \(-0.820508\pi\)
−0.332978 + 0.942935i \(0.608053\pi\)
\(54\) 5.16347 6.32410i 0.702659 0.860601i
\(55\) −8.32855 + 2.36054i −1.12302 + 0.318295i
\(56\) −0.696071 1.90109i −0.0930163 0.254043i
\(57\) −1.13958 4.11072i −0.150941 0.544478i
\(58\) −5.53673 3.23925i −0.727008 0.425334i
\(59\) 8.53753 3.63750i 1.11149 0.473562i 0.243380 0.969931i \(-0.421744\pi\)
0.868112 + 0.496369i \(0.165334\pi\)
\(60\) 0.839546 + 0.761195i 0.108385 + 0.0982698i
\(61\) 2.83001 1.32296i 0.362346 0.169388i −0.233759 0.972295i \(-0.575103\pi\)
0.596105 + 0.802907i \(0.296714\pi\)
\(62\) 11.3268 + 4.22132i 1.43851 + 0.536108i
\(63\) 0.0198134 0.312629i 0.00249626 0.0393876i
\(64\) 6.96164 + 0.481439i 0.870205 + 0.0601798i
\(65\) −7.90100 + 10.6413i −0.979999 + 1.31989i
\(66\) −5.39809 + 3.15814i −0.664459 + 0.388740i
\(67\) −8.79866 8.54910i −1.07493 1.04444i −0.998879 0.0473346i \(-0.984927\pi\)
−0.0760479 0.997104i \(-0.524230\pi\)
\(68\) 0.0836409 0.435195i 0.0101429 0.0527752i
\(69\) 2.56534 5.24950i 0.308830 0.631965i
\(70\) 3.72732 + 0.430831i 0.445500 + 0.0514942i
\(71\) −2.91112 + 0.576882i −0.345487 + 0.0684633i −0.364090 0.931364i \(-0.618620\pi\)
0.0186037 + 0.999827i \(0.494078\pi\)
\(72\) 0.968469 + 0.508292i 0.114135 + 0.0599027i
\(73\) −0.285056 + 0.246741i −0.0333633 + 0.0288789i −0.670988 0.741469i \(-0.734130\pi\)
0.637624 + 0.770347i \(0.279917\pi\)
\(74\) −9.28021 + 7.31376i −1.07880 + 0.850208i
\(75\) 8.96668 3.45976i 1.03538 0.399498i
\(76\) −0.502150 + 0.256222i −0.0576006 + 0.0293907i
\(77\) −0.811444 + 1.81690i −0.0924726 + 0.207055i
\(78\) −3.60059 + 8.87256i −0.407687 + 1.00462i
\(79\) 0.136677 + 0.0978667i 0.0153773 + 0.0110109i 0.589848 0.807514i \(-0.299188\pi\)
−0.574471 + 0.818525i \(0.694792\pi\)
\(80\) −7.39887 + 12.4813i −0.827219 + 1.39545i
\(81\) −4.73641 5.93926i −0.526267 0.659918i
\(82\) 5.62789 + 10.0121i 0.621496 + 1.10565i
\(83\) −5.01220 3.16952i −0.550160 0.347900i 0.230286 0.973123i \(-0.426034\pi\)
−0.780446 + 0.625223i \(0.785008\pi\)
\(84\) 0.258017 0.0358583i 0.0281519 0.00391246i
\(85\) −5.47146 4.21092i −0.593463 0.456738i
\(86\) −1.00969 + 9.19907i −0.108878 + 0.991962i
\(87\) −4.68991 + 5.11322i −0.502812 + 0.548195i
\(88\) −4.63705 5.17386i −0.494311 0.551535i
\(89\) 0.318691 + 3.68334i 0.0337812 + 0.390433i 0.993855 + 0.110687i \(0.0353052\pi\)
−0.960074 + 0.279746i \(0.909750\pi\)
\(90\) −1.64815 + 1.18015i −0.173731 + 0.124399i
\(91\) 0.712068 + 2.96222i 0.0746450 + 0.310525i
\(92\) −0.747541 0.193404i −0.0779365 0.0201637i
\(93\) 7.05141 11.0102i 0.731198 1.14170i
\(94\) −0.185634 + 0.0128377i −0.0191467 + 0.00132410i
\(95\) 0.0505349 + 8.78272i 0.00518477 + 0.901089i
\(96\) −0.536201 + 1.85118i −0.0547258 + 0.188936i
\(97\) 1.39729 + 10.4967i 0.141873 + 1.06578i 0.906768 + 0.421629i \(0.138542\pi\)
−0.764895 + 0.644154i \(0.777209\pi\)
\(98\) −6.92539 + 6.57574i −0.699570 + 0.664250i
\(99\) −0.334557 1.02165i −0.0336242 0.102680i
\(100\) −0.685013 1.06959i −0.0685013 0.106959i
\(101\) 6.44540 + 8.68082i 0.641341 + 0.863774i 0.997501 0.0706510i \(-0.0225076\pi\)
−0.356160 + 0.934425i \(0.615914\pi\)
\(102\) −4.58890 1.95515i −0.454369 0.193588i
\(103\) 1.31790 + 2.86200i 0.129857 + 0.282001i 0.962242 0.272197i \(-0.0877502\pi\)
−0.832385 + 0.554198i \(0.813025\pi\)
\(104\) −10.4576 1.94753i −1.02545 0.190971i
\(105\) 1.30730 3.84211i 0.127580 0.374952i
\(106\) 12.8084 4.27609i 1.24407 0.415330i
\(107\) −15.9547 + 3.93249i −1.54240 + 0.380168i −0.916598 0.399811i \(-0.869076\pi\)
−0.625805 + 0.779979i \(0.715230\pi\)
\(108\) −0.748437 + 0.895434i −0.0720184 + 0.0861632i
\(109\) −6.75435 13.0513i −0.646950 1.25009i −0.954402 0.298524i \(-0.903506\pi\)
0.307452 0.951563i \(-0.400523\pi\)
\(110\) 12.4282 3.36849i 1.18499 0.321172i
\(111\) 5.61135 + 11.4826i 0.532606 + 1.08988i
\(112\) 1.11062 + 3.14491i 0.104943 + 0.297166i
\(113\) −0.132352 4.59922i −0.0124506 0.432658i −0.982122 0.188245i \(-0.939720\pi\)
0.969671 0.244412i \(-0.0785950\pi\)
\(114\) 1.62464 + 6.13376i 0.152161 + 0.574479i
\(115\) −7.92533 + 9.05023i −0.739041 + 0.843938i
\(116\) 0.786057 + 0.472106i 0.0729836 + 0.0438339i
\(117\) −1.35994 0.927192i −0.125727 0.0857190i
\(118\) −12.7609 + 5.26425i −1.17474 + 0.484613i
\(119\) −1.54927 + 0.344245i −0.142022 + 0.0315569i
\(120\) 10.3875 + 9.63821i 0.948246 + 0.879844i
\(121\) 0.167955 4.16776i 0.0152686 0.378888i
\(122\) −4.23198 + 1.91932i −0.383146 + 0.173767i
\(123\) 11.8711 3.66176i 1.07038 0.330169i
\(124\) −1.61204 0.622001i −0.144766 0.0558573i
\(125\) −3.20783 + 0.333425i −0.286917 + 0.0298225i
\(126\) −0.0348217 + 0.464663i −0.00310216 + 0.0413954i
\(127\) −3.87058 + 10.5712i −0.343458 + 0.938042i 0.641785 + 0.766884i \(0.278194\pi\)
−0.985244 + 0.171158i \(0.945249\pi\)
\(128\) −12.7344 1.02803i −1.12557 0.0908657i
\(129\) 9.49463 + 3.16977i 0.835956 + 0.279083i
\(130\) 11.9340 15.6925i 1.04668 1.37632i
\(131\) 13.2849 + 2.79186i 1.16071 + 0.243926i 0.745948 0.666004i \(-0.231997\pi\)
0.414762 + 0.909930i \(0.363865\pi\)
\(132\) 0.776764 0.442525i 0.0676086 0.0385169i
\(133\) 1.55647 + 1.28582i 0.134963 + 0.111494i
\(134\) 12.9407 + 12.8665i 1.11791 + 1.11149i
\(135\) 7.22281 + 16.6857i 0.621641 + 1.43607i
\(136\) 1.10840 5.42932i 0.0950448 0.465560i
\(137\) 16.2081 0.373101i 1.38475 0.0318761i 0.675775 0.737108i \(-0.263809\pi\)
0.708976 + 0.705232i \(0.249157\pi\)
\(138\) −3.90552 + 7.76415i −0.332460 + 0.660928i
\(139\) 16.0263 + 7.26836i 1.35933 + 0.616494i 0.954586 0.297935i \(-0.0962979\pi\)
0.404745 + 0.914429i \(0.367360\pi\)
\(140\) −0.532051 0.0677114i −0.0449666 0.00572266i
\(141\) −0.0288517 + 0.199188i −0.00242975 + 0.0167747i
\(142\) 4.33985 0.808219i 0.364192 0.0678242i
\(143\) 6.03795 + 8.53568i 0.504919 + 0.713790i
\(144\) −1.58575 0.855683i −0.132146 0.0713070i
\(145\) 12.0739 7.63510i 1.00269 0.634061i
\(146\) 0.428213 0.362122i 0.0354392 0.0299694i
\(147\) 5.36926 + 8.82440i 0.442849 + 0.727824i
\(148\) 1.33849 1.03012i 0.110023 0.0846753i
\(149\) 8.93283 9.08837i 0.731806 0.744548i −0.242408 0.970174i \(-0.577937\pi\)
0.974214 + 0.225626i \(0.0724428\pi\)
\(150\) −13.3962 + 4.99253i −1.09379 + 0.407638i
\(151\) −0.675421 2.23524i −0.0549650 0.181901i 0.925440 0.378894i \(-0.123696\pi\)
−0.980405 + 0.196993i \(0.936882\pi\)
\(152\) −6.31537 + 3.13136i −0.512244 + 0.253987i
\(153\) 0.495156 0.699988i 0.0400310 0.0565907i
\(154\) 1.23804 2.68856i 0.0997637 0.216650i
\(155\) −19.9429 + 18.0817i −1.60185 + 1.45236i
\(156\) 0.529241 1.26227i 0.0423732 0.101062i
\(157\) −9.13771 10.9324i −0.729269 0.872502i 0.266553 0.963820i \(-0.414115\pi\)
−0.995822 + 0.0913184i \(0.970892\pi\)
\(158\) −0.201616 0.147906i −0.0160397 0.0117667i
\(159\) −1.59356 14.5185i −0.126377 1.15139i
\(160\) 2.06262 3.38992i 0.163064 0.267997i
\(161\) 0.427868 + 2.73196i 0.0337207 + 0.215309i
\(162\) 6.94323 + 8.91509i 0.545511 + 0.700435i
\(163\) 6.53066 20.7473i 0.511520 1.62505i −0.243892 0.969802i \(-0.578424\pi\)
0.755412 0.655250i \(-0.227437\pi\)
\(164\) −0.787947 1.44033i −0.0615283 0.112471i
\(165\) −0.720920 13.9091i −0.0561236 1.08282i
\(166\) 7.40085 + 4.80011i 0.574417 + 0.372561i
\(167\) −0.236606 + 13.7058i −0.0183091 + 1.06058i 0.838485 + 0.544925i \(0.183442\pi\)
−0.856794 + 0.515659i \(0.827547\pi\)
\(168\) 3.23121 0.411219i 0.249293 0.0317262i
\(169\) 2.87413 + 0.886553i 0.221087 + 0.0681964i
\(170\) 8.06612 + 6.35694i 0.618644 + 0.487555i
\(171\) −1.08956 + 0.0501886i −0.0833208 + 0.00383802i
\(172\) 0.159451 1.31320i 0.0121580 0.100130i
\(173\) −14.3535 + 9.54597i −1.09128 + 0.725767i −0.963947 0.266094i \(-0.914267\pi\)
−0.127330 + 0.991860i \(0.540641\pi\)
\(174\) 7.06326 7.52508i 0.535465 0.570475i
\(175\) −2.54069 + 3.77297i −0.192058 + 0.285210i
\(176\) 7.54066 + 8.61096i 0.568398 + 0.649075i
\(177\) 2.64912 + 14.6941i 0.199120 + 1.10447i
\(178\) −0.410971 5.48402i −0.0308036 0.411045i
\(179\) 3.95302 + 1.12039i 0.295462 + 0.0837421i 0.417184 0.908822i \(-0.363017\pi\)
−0.121721 + 0.992564i \(0.538841\pi\)
\(180\) 0.237518 0.165973i 0.0177036 0.0123709i
\(181\) 0.328723 + 1.61019i 0.0244338 + 0.119684i 0.990178 0.139810i \(-0.0446492\pi\)
−0.965745 + 0.259494i \(0.916444\pi\)
\(182\) −1.00842 4.41817i −0.0747490 0.327497i
\(183\) 1.06197 + 4.91274i 0.0785034 + 0.363160i
\(184\) −9.31886 2.52574i −0.686996 0.186200i
\(185\) −4.96641 25.8409i −0.365137 1.89986i
\(186\) −10.6767 + 16.2557i −0.782852 + 1.19193i
\(187\) −4.50010 + 3.06812i −0.329080 + 0.224363i
\(188\) 0.0265545 0.00152959i 0.00193668 0.000111557i
\(189\) 4.00764 + 1.18586i 0.291513 + 0.0862589i
\(190\) 0.0751701 13.0642i 0.00545342 0.947778i
\(191\) 0.811847 + 12.8098i 0.0587432 + 0.926888i 0.913238 + 0.407427i \(0.133574\pi\)
−0.854494 + 0.519461i \(0.826133\pi\)
\(192\) −3.24756 + 10.7475i −0.234373 + 0.775635i
\(193\) −2.93608 17.4324i −0.211344 1.25481i −0.866447 0.499269i \(-0.833602\pi\)
0.655103 0.755540i \(-0.272625\pi\)
\(194\) −1.89864 15.6367i −0.136314 1.12265i
\(195\) −13.8630 16.2031i −0.992747 1.16033i
\(196\) 1.00069 0.928503i 0.0714778 0.0663217i
\(197\) −1.76908 + 2.56295i −0.126042 + 0.182603i −0.880925 0.473257i \(-0.843078\pi\)
0.754883 + 0.655860i \(0.227694\pi\)
\(198\) 0.480129 + 1.52532i 0.0341213 + 0.108400i
\(199\) 14.8393 15.4493i 1.05193 1.09517i 0.0566219 0.998396i \(-0.481967\pi\)
0.995306 0.0967773i \(-0.0308535\pi\)
\(200\) −8.41099 13.4719i −0.594747 0.952606i
\(201\) 16.5600 10.7407i 1.16805 0.757587i
\(202\) −9.43824 13.0221i −0.664072 0.916232i
\(203\) 0.433299 3.25505i 0.0304117 0.228459i
\(204\) 0.652693 + 0.287005i 0.0456976 + 0.0200944i
\(205\) −25.5629 + 0.882858i −1.78539 + 0.0616614i
\(206\) −1.91125 4.27948i −0.133163 0.298165i
\(207\) −1.16264 0.938167i −0.0808089 0.0652071i
\(208\) 17.1901 + 3.40648i 1.19192 + 0.236197i
\(209\) 6.59670 + 2.11825i 0.456303 + 0.146522i
\(210\) −2.01024 + 5.69235i −0.138720 + 0.392809i
\(211\) −22.4511 + 2.59506i −1.54560 + 0.178651i −0.844946 0.534852i \(-0.820367\pi\)
−0.700652 + 0.713503i \(0.747107\pi\)
\(212\) −1.83779 + 0.590129i −0.126220 + 0.0405302i
\(213\) 0.137349 4.77286i 0.00941100 0.327031i
\(214\) 23.7983 5.57605i 1.62682 0.381171i
\(215\) −17.1607 11.4129i −1.17035 0.778357i
\(216\) −9.48673 + 11.0881i −0.645491 + 0.754453i
\(217\) 0.249163 + 6.18293i 0.0169143 + 0.419725i
\(218\) 9.82297 + 19.5280i 0.665295 + 1.32260i
\(219\) −0.284978 0.535470i −0.0192570 0.0361837i
\(220\) −1.78195 + 0.461027i −0.120139 + 0.0310824i
\(221\) −2.59510 + 7.92480i −0.174565 + 0.533079i
\(222\) −8.14973 17.1752i −0.546974 1.15272i
\(223\) 6.05484 + 7.96173i 0.405462 + 0.533157i 0.952737 0.303796i \(-0.0982541\pi\)
−0.547275 + 0.836953i \(0.684335\pi\)
\(224\) −0.293818 0.863520i −0.0196316 0.0576963i
\(225\) −0.352275 2.43207i −0.0234850 0.162138i
\(226\) 0.118134 + 6.84310i 0.00785815 + 0.455196i
\(227\) −0.0547968 + 0.0877681i −0.00363699 + 0.00582537i −0.850065 0.526678i \(-0.823437\pi\)
0.846428 + 0.532503i \(0.178749\pi\)
\(228\) −0.222126 0.879394i −0.0147107 0.0582393i
\(229\) 0.463555 + 4.72397i 0.0306326 + 0.312169i 0.998220 + 0.0596337i \(0.0189933\pi\)
−0.967588 + 0.252535i \(0.918736\pi\)
\(230\) 11.9430 13.3256i 0.787497 0.878663i
\(231\) −2.55944 1.92330i −0.168399 0.126544i
\(232\) 9.76034 + 6.01596i 0.640798 + 0.394967i
\(233\) 9.33298 + 11.4308i 0.611424 + 0.748858i 0.983809 0.179220i \(-0.0573575\pi\)
−0.372385 + 0.928078i \(0.621460\pi\)
\(234\) 2.00689 + 1.40238i 0.131195 + 0.0916762i
\(235\) 0.164619 0.380293i 0.0107386 0.0248076i
\(236\) 1.83262 0.731449i 0.119294 0.0476132i
\(237\) −0.202444 + 0.179350i −0.0131502 + 0.0116500i
\(238\) 2.31027 0.485508i 0.149753 0.0314708i
\(239\) −7.93449 + 16.7216i −0.513240 + 1.08163i 0.467080 + 0.884215i \(0.345306\pi\)
−0.980320 + 0.197415i \(0.936745\pi\)
\(240\) −16.9289 16.0742i −1.09276 1.03759i
\(241\) −1.94339 + 2.68133i −0.125185 + 0.172720i −0.867667 0.497147i \(-0.834381\pi\)
0.742482 + 0.669866i \(0.233649\pi\)
\(242\) −0.321155 + 6.19622i −0.0206446 + 0.398308i
\(243\) −3.82336 + 1.84123i −0.245268 + 0.118115i
\(244\) 0.608050 0.267375i 0.0389264 0.0171169i
\(245\) −5.91705 20.4280i −0.378026 1.30510i
\(246\) −17.7197 + 5.24327i −1.12977 + 0.334298i
\(247\) 9.98197 3.58984i 0.635137 0.228416i
\(248\) −20.0663 8.00898i −1.27421 0.508571i
\(249\) 6.76610 6.72728i 0.428784 0.426324i
\(250\) 4.77701 0.441025i 0.302125 0.0278929i
\(251\) 13.8005 10.3704i 0.871080 0.654574i −0.0682201 0.997670i \(-0.521732\pi\)
0.939300 + 0.343096i \(0.111476\pi\)
\(252\) 0.00574152 0.0663587i 0.000361682 0.00418021i
\(253\) 4.83920 + 8.16333i 0.304238 + 0.513224i
\(254\) 5.93801 15.6573i 0.372584 0.982423i
\(255\) 8.56403 7.07483i 0.536301 0.443043i
\(256\) 5.02603 + 0.464015i 0.314127 + 0.0290009i
\(257\) 8.43185 5.19712i 0.525964 0.324188i −0.236057 0.971739i \(-0.575855\pi\)
0.762022 + 0.647552i \(0.224207\pi\)
\(258\) −14.0680 4.87722i −0.875834 0.303642i
\(259\) −5.28973 2.93347i −0.328688 0.182277i
\(260\) −1.73159 + 2.22336i −0.107389 + 0.137887i
\(261\) 1.00779 + 1.46003i 0.0623803 + 0.0903735i
\(262\) −19.7121 4.37998i −1.21782 0.270596i
\(263\) −5.24659 + 0.914743i −0.323519 + 0.0564055i −0.331187 0.943565i \(-0.607449\pi\)
0.00766847 + 0.999971i \(0.497559\pi\)
\(264\) 9.77575 5.42124i 0.601656 0.333654i
\(265\) −4.65302 + 29.7098i −0.285833 + 1.82506i
\(266\) −2.29307 1.93915i −0.140597 0.118897i
\(267\) −5.89170 0.818808i −0.360566 0.0501103i
\(268\) −1.82850 1.86034i −0.111693 0.113638i
\(269\) 1.62261 + 0.758532i 0.0989325 + 0.0462485i 0.472322 0.881426i \(-0.343416\pi\)
−0.373389 + 0.927675i \(0.621804\pi\)
\(270\) −10.4575 24.9418i −0.636426 1.51791i
\(271\) 0.569682 1.10078i 0.0346057 0.0668679i −0.870183 0.492729i \(-0.835999\pi\)
0.904789 + 0.425861i \(0.140029\pi\)
\(272\) −1.92883 + 8.92286i −0.116953 + 0.541028i
\(273\) −4.90141 + 0.0564062i −0.296647 + 0.00341386i
\(274\) −24.1142 + 0.277510i −1.45679 + 0.0167650i
\(275\) −3.29824 + 15.2578i −0.198891 + 0.920079i
\(276\) 0.571002 1.10333i 0.0343703 0.0664129i
\(277\) 2.33706 + 5.57401i 0.140420 + 0.334910i 0.977099 0.212784i \(-0.0682531\pi\)
−0.836679 + 0.547694i \(0.815506\pi\)
\(278\) −23.7129 11.0852i −1.42221 0.664848i
\(279\) −2.34342 2.38422i −0.140297 0.142740i
\(280\) −6.64263 0.923169i −0.396973 0.0551699i
\(281\) 1.83564 + 1.55233i 0.109505 + 0.0926039i 0.698812 0.715306i \(-0.253713\pi\)
−0.589307 + 0.807910i \(0.700599\pi\)
\(282\) 0.0463233 0.295777i 0.00275851 0.0176133i
\(283\) 7.66779 4.25225i 0.455803 0.252770i −0.240319 0.970694i \(-0.577252\pi\)
0.696121 + 0.717924i \(0.254908\pi\)
\(284\) −0.621641 + 0.108383i −0.0368876 + 0.00643136i
\(285\) −13.7945 3.06510i −0.817115 0.181561i
\(286\) −8.83469 12.7993i −0.522406 0.756836i
\(287\) −3.61271 + 4.63871i −0.213251 + 0.273814i
\(288\) 0.430955 + 0.238991i 0.0253943 + 0.0140827i
\(289\) 11.9578 + 4.14564i 0.703401 + 0.243861i
\(290\) −18.0894 + 11.1497i −1.06225 + 0.654734i
\(291\) −16.9652 1.56627i −0.994519 0.0918163i
\(292\) −0.0618018 + 0.0510551i −0.00361668 + 0.00298777i
\(293\) 9.33413 24.6121i 0.545306 1.43785i −0.325176 0.945653i \(-0.605424\pi\)
0.870482 0.492200i \(-0.163807\pi\)
\(294\) −7.83514 13.2172i −0.456955 0.770845i
\(295\) 2.64995 30.6273i 0.154286 1.78319i
\(296\) 16.8836 12.6872i 0.981342 0.737431i
\(297\) 14.2822 1.31857i 0.828738 0.0765110i
\(298\) −13.4422 + 13.3651i −0.778685 + 0.774217i
\(299\) 13.4944 + 5.38597i 0.780401 + 0.311479i
\(300\) 1.92298 0.691565i 0.111023 0.0399275i
\(301\) −4.54271 + 1.34419i −0.261837 + 0.0774778i
\(302\) 0.966354 + 3.33624i 0.0556075 + 0.191979i
\(303\) −15.9241 + 7.00222i −0.914816 + 0.402267i
\(304\) 10.4629 5.03865i 0.600086 0.288986i
\(305\) 0.535657 10.3347i 0.0306716 0.591764i
\(306\) −0.748472 + 1.03268i −0.0427873 + 0.0590344i
\(307\) 11.5073 + 10.9263i 0.656754 + 0.623595i 0.942300 0.334770i \(-0.108658\pi\)
−0.285546 + 0.958365i \(0.592175\pi\)
\(308\) −0.181379 + 0.382249i −0.0103351 + 0.0217807i
\(309\) −4.96111 + 1.04259i −0.282227 + 0.0593107i
\(310\) 29.9725 26.5533i 1.70232 1.50812i
\(311\) 25.6653 10.2437i 1.45535 0.580867i 0.497324 0.867565i \(-0.334316\pi\)
0.958021 + 0.286698i \(0.0925577\pi\)
\(312\) 6.79886 15.7063i 0.384910 0.889193i
\(313\) 3.17163 + 2.21627i 0.179271 + 0.125271i 0.658991 0.752151i \(-0.270983\pi\)
−0.479720 + 0.877422i \(0.659262\pi\)
\(314\) 13.4042 + 16.4172i 0.756444 + 0.926476i
\(315\) −0.883382 0.544489i −0.0497730 0.0306785i
\(316\) 0.0285745 + 0.0214724i 0.00160744 + 0.00120791i
\(317\) −11.9207 + 13.3007i −0.669530 + 0.747039i −0.978998 0.203871i \(-0.934648\pi\)
0.309467 + 0.950910i \(0.399849\pi\)
\(318\) 2.12173 + 21.6220i 0.118981 + 1.21250i
\(319\) −2.75982 10.9261i −0.154520 0.611743i
\(320\) 12.2423 19.6086i 0.684368 1.09615i
\(321\) −0.456339 26.4342i −0.0254703 1.47541i
\(322\) −0.589644 4.07082i −0.0328596 0.226858i
\(323\) 1.78001 + 5.23138i 0.0990426 + 0.291082i
\(324\) −0.977757 1.28569i −0.0543198 0.0714271i
\(325\) 10.2458 + 21.5926i 0.568335 + 1.19774i
\(326\) −10.0688 + 30.7475i −0.557658 + 1.70295i
\(327\) 22.8902 5.92214i 1.26583 0.327495i
\(328\) −9.64464 18.1222i −0.532536 1.00063i
\(329\) −0.0428049 0.0850960i −0.00235991 0.00469149i
\(330\) 0.834207 + 20.7006i 0.0459216 + 1.13953i
\(331\) 13.1024 15.3142i 0.720173 0.841742i −0.272553 0.962141i \(-0.587868\pi\)
0.992726 + 0.120399i \(0.0384174\pi\)
\(332\) −1.04994 0.698272i −0.0576227 0.0383227i
\(333\) 3.18166 0.745479i 0.174354 0.0408520i
\(334\) 0.586529 20.3818i 0.0320934 1.11524i
\(335\) −38.6935 + 12.4248i −2.11405 + 0.678837i
\(336\) −5.33066 + 0.616156i −0.290811 + 0.0336141i
\(337\) −8.59367 + 24.3345i −0.468127 + 1.32559i 0.436624 + 0.899644i \(0.356174\pi\)
−0.904751 + 0.425941i \(0.859943\pi\)
\(338\) −4.25979 1.36785i −0.231702 0.0744012i
\(339\) 7.26161 + 1.43900i 0.394397 + 0.0781555i
\(340\) −1.14247 0.921889i −0.0619589 0.0499965i
\(341\) 8.65972 + 19.3900i 0.468950 + 1.05003i
\(342\) 1.62146 0.0560000i 0.0876786 0.00302813i
\(343\) −9.35456 4.11343i −0.505099 0.222104i
\(344\) 2.18261 16.3963i 0.117679 0.884029i
\(345\) −11.3586 15.6716i −0.611526 0.843733i
\(346\) 21.5127 13.9529i 1.15653 0.750113i
\(347\) −4.75764 7.62032i −0.255404 0.409080i 0.695520 0.718507i \(-0.255174\pi\)
−0.950923 + 0.309427i \(0.899863\pi\)
\(348\) −1.02196 + 1.06397i −0.0547827 + 0.0570348i
\(349\) −11.0643 35.1501i −0.592256 1.88154i −0.453611 0.891200i \(-0.649865\pi\)
−0.138645 0.990342i \(-0.544275\pi\)
\(350\) 3.84359 5.56840i 0.205449 0.297644i
\(351\) 16.0977 14.9365i 0.859233 0.797252i
\(352\) −2.03501 2.37853i −0.108466 0.126776i
\(353\) 4.35503 + 35.8669i 0.231795 + 1.90900i 0.388658 + 0.921382i \(0.372939\pi\)
−0.156863 + 0.987620i \(0.550138\pi\)
\(354\) −3.68875 21.9012i −0.196055 1.16403i
\(355\) −2.84364 + 9.41077i −0.150925 + 0.499472i
\(356\) 0.0497209 + 0.784528i 0.00263520 + 0.0415799i
\(357\) 0.0146920 2.55340i 0.000777584 0.135140i
\(358\) −5.86051 1.73413i −0.309737 0.0916515i
\(359\) 11.1951 0.644861i 0.590857 0.0340345i 0.240497 0.970650i \(-0.422689\pi\)
0.350359 + 0.936615i \(0.386059\pi\)
\(360\) 2.99363 2.04102i 0.157778 0.107571i
\(361\) −6.57150 + 10.0054i −0.345868 + 0.526600i
\(362\) −0.461377 2.40061i −0.0242495 0.126173i
\(363\) 6.47733 + 1.75558i 0.339972 + 0.0921443i
\(364\) 0.136870 + 0.633165i 0.00717392 + 0.0331868i
\(365\) 0.277908 + 1.21759i 0.0145464 + 0.0637317i
\(366\) −1.49548 7.32535i −0.0781700 0.382902i
\(367\) −16.2808 + 11.3767i −0.849848 + 0.593856i −0.914743 0.404036i \(-0.867607\pi\)
0.0648949 + 0.997892i \(0.479329\pi\)
\(368\) 15.3033 + 4.33739i 0.797742 + 0.226102i
\(369\) −0.237377 3.16758i −0.0123574 0.164898i
\(370\) 6.94467 + 38.5205i 0.361036 + 2.00259i
\(371\) 4.55403 + 5.20041i 0.236433 + 0.269992i
\(372\) 1.55280 2.30593i 0.0805088 0.119557i
\(373\) −15.7552 + 16.7853i −0.815772 + 0.869109i −0.993366 0.114995i \(-0.963315\pi\)
0.177595 + 0.984104i \(0.443168\pi\)
\(374\) 6.74593 4.48646i 0.348824 0.231989i
\(375\) 0.625458 5.15111i 0.0322985 0.266002i
\(376\) 0.332237 0.0153039i 0.0171338 0.000789238i
\(377\) −13.5513 10.6798i −0.697926 0.550038i
\(378\) −5.94064 1.83244i −0.305553 0.0942507i
\(379\) 27.9237 3.55370i 1.43434 0.182541i 0.629949 0.776637i \(-0.283076\pi\)
0.804395 + 0.594095i \(0.202490\pi\)
\(380\) −0.0322338 + 1.86719i −0.00165356 + 0.0957850i
\(381\) −15.1960 9.85598i −0.778515 0.504937i
\(382\) −0.988267 19.0672i −0.0505641 0.975561i
\(383\) 6.57210 + 12.0135i 0.335819 + 0.613861i 0.989769 0.142677i \(-0.0455709\pi\)
−0.653951 + 0.756537i \(0.726890\pi\)
\(384\) 6.17169 19.6069i 0.314948 1.00056i
\(385\) 4.05029 + 5.20057i 0.206422 + 0.265045i
\(386\) 4.06871 + 25.9790i 0.207092 + 1.32230i
\(387\) 1.33037 2.18648i 0.0676268 0.111145i
\(388\) 0.245659 + 2.23814i 0.0124714 + 0.113624i
\(389\) −20.5603 15.0830i −1.04245 0.764738i −0.0699261 0.997552i \(-0.522276\pi\)
−0.972521 + 0.232814i \(0.925207\pi\)
\(390\) 20.3423 + 24.3377i 1.03007 + 1.23239i
\(391\) −2.92662 + 6.98013i −0.148005 + 0.353000i
\(392\) 12.6455 11.4653i 0.638692 0.579086i
\(393\) −9.13548 + 19.8389i −0.460824 + 1.00074i
\(394\) 2.67518 3.78183i 0.134774 0.190526i
\(395\) 0.498902 0.247371i 0.0251025 0.0124466i
\(396\) −0.0661177 0.218810i −0.00332254 0.0109956i
\(397\) −2.23726 + 0.833788i −0.112285 + 0.0418466i −0.404734 0.914434i \(-0.632636\pi\)
0.292449 + 0.956281i \(0.405530\pi\)
\(398\) −22.3363 + 22.7252i −1.11962 + 1.13911i
\(399\) −2.57415 + 1.98110i −0.128868 + 0.0991791i
\(400\) 13.6003 + 22.3521i 0.680013 + 1.11760i
\(401\) 24.8927 21.0507i 1.24308 1.05122i 0.246453 0.969155i \(-0.420735\pi\)
0.996627 0.0820655i \(-0.0261517\pi\)
\(402\) −24.8151 + 15.6921i −1.23766 + 0.782651i
\(403\) 28.6133 + 15.4400i 1.42533 + 0.769120i
\(404\) 1.32762 + 1.87682i 0.0660517 + 0.0933755i
\(405\) −24.7395 + 4.60728i −1.22931 + 0.228937i
\(406\) −0.700203 + 4.83411i −0.0347505 + 0.239913i
\(407\) −20.5918 2.62061i −1.02070 0.129899i
\(408\) 8.11948 + 3.68241i 0.401974 + 0.182306i
\(409\) 5.38162 10.6986i 0.266104 0.529013i −0.720237 0.693728i \(-0.755967\pi\)
0.986341 + 0.164715i \(0.0526704\pi\)
\(410\) 38.0371 0.875591i 1.87852 0.0432424i
\(411\) −5.21755 + 25.5572i −0.257363 + 1.26065i
\(412\) 0.266143 + 0.614825i 0.0131119 + 0.0302903i
\(413\) −5.01113 4.98238i −0.246581 0.245167i
\(414\) 1.71324 + 1.41532i 0.0842011 + 0.0695593i
\(415\) −17.0691 + 9.72435i −0.837891 + 0.477350i
\(416\) −4.69020 0.985655i −0.229956 0.0483257i
\(417\) −17.1387 + 22.5363i −0.839285 + 1.10361i
\(418\) −9.77562 3.26358i −0.478141 0.159627i
\(419\) 16.7991 + 1.35616i 0.820689 + 0.0662528i 0.483676 0.875247i \(-0.339301\pi\)
0.337013 + 0.941500i \(0.390583\pi\)
\(420\) 0.296695 0.810322i 0.0144772 0.0395397i
\(421\) −1.82399 + 24.3395i −0.0888959 + 1.18623i 0.757193 + 0.653191i \(0.226570\pi\)
−0.846089 + 0.533042i \(0.821049\pi\)
\(422\) 33.4380 3.47558i 1.62774 0.169188i
\(423\) 0.0480122 + 0.0185253i 0.00233443 + 0.000900731i
\(424\) −23.0633 + 7.11408i −1.12005 + 0.345490i
\(425\) −11.3386 + 5.14237i −0.550003 + 0.249442i
\(426\) −0.285989 + 7.09676i −0.0138562 + 0.343839i
\(427\) −1.74378 1.61799i −0.0843876 0.0783002i
\(428\) −3.41075 + 0.757861i −0.164865 + 0.0366326i
\(429\) −15.5506 + 6.41507i −0.750789 + 0.309722i
\(430\) 25.3294 + 17.2693i 1.22149 + 0.832798i
\(431\) 14.6544 + 8.80145i 0.705879 + 0.423951i 0.822153 0.569266i \(-0.192773\pi\)
−0.116274 + 0.993217i \(0.537095\pi\)
\(432\) 15.8380 18.0860i 0.762005 0.870162i
\(433\) 3.85376 + 14.5497i 0.185200 + 0.699215i 0.993832 + 0.110900i \(0.0353734\pi\)
−0.808632 + 0.588315i \(0.799791\pi\)
\(434\) −0.264769 9.20070i −0.0127093 0.441648i
\(435\) 7.65357 + 21.6724i 0.366960 + 1.03911i
\(436\) −1.37191 2.80737i −0.0657027 0.134449i
\(437\) 9.29300 2.51873i 0.444544 0.120487i
\(438\) 0.414708 + 0.801332i 0.0198155 + 0.0382891i
\(439\) −13.3815 + 16.0097i −0.638663 + 0.764100i −0.984726 0.174111i \(-0.944295\pi\)
0.346063 + 0.938211i \(0.387518\pi\)
\(440\) −22.3466 + 5.50793i −1.06533 + 0.262580i
\(441\) 2.50524 0.836373i 0.119297 0.0398273i
\(442\) 3.99558 11.7429i 0.190051 0.558551i
\(443\) 3.92894 + 0.731695i 0.186670 + 0.0347639i 0.275592 0.961275i \(-0.411126\pi\)
−0.0889222 + 0.996039i \(0.528342\pi\)
\(444\) 1.13662 + 2.46832i 0.0539416 + 0.117141i
\(445\) 11.2671 + 4.80048i 0.534113 + 0.227564i
\(446\) −8.86964 11.9459i −0.419990 0.565653i
\(447\) 11.0577 + 17.2656i 0.523012 + 0.816637i
\(448\) −1.65365 5.04985i −0.0781278 0.238583i
\(449\) 20.4650 19.4318i 0.965805 0.917043i −0.0307875 0.999526i \(-0.509802\pi\)
0.996592 + 0.0824830i \(0.0262850\pi\)
\(450\) 0.482342 + 3.62346i 0.0227378 + 0.170812i
\(451\) −5.61374 + 19.3809i −0.264341 + 0.912611i
\(452\) −0.00562906 0.978304i −0.000264769 0.0460156i
\(453\) 3.74797 0.259194i 0.176095 0.0121780i
\(454\) 0.0830066 0.129608i 0.00389569 0.00608278i
\(455\) 9.77059 + 2.52785i 0.458052 + 0.118507i
\(456\) −2.65076 11.0272i −0.124133 0.516398i
\(457\) −28.9728 + 20.7459i −1.35529 + 0.970450i −0.355937 + 0.934510i \(0.615838\pi\)
−0.999354 + 0.0359402i \(0.988557\pi\)
\(458\) −0.608627 7.03433i −0.0284393 0.328693i
\(459\) 7.63493 + 8.51880i 0.356368 + 0.397623i
\(460\) −1.72898 + 1.88503i −0.0806139 + 0.0878900i
\(461\) 2.30239 20.9765i 0.107233 0.976974i −0.812106 0.583509i \(-0.801679\pi\)
0.919340 0.393465i \(-0.128724\pi\)
\(462\) 3.77397 + 2.90451i 0.175581 + 0.135130i
\(463\) 22.8580 3.17672i 1.06230 0.147635i 0.414963 0.909838i \(-0.363795\pi\)
0.647337 + 0.762204i \(0.275883\pi\)
\(464\) −15.9644 10.0953i −0.741130 0.468662i
\(465\) −21.2227 37.7556i −0.984180 1.75088i
\(466\) −13.6861 17.1619i −0.633998 0.795008i
\(467\) 2.17611 3.67093i 0.100699 0.169870i −0.805662 0.592376i \(-0.798190\pi\)
0.906360 + 0.422506i \(0.138849\pi\)
\(468\) −0.284546 0.203748i −0.0131532 0.00941826i
\(469\) −3.51273 + 8.65605i −0.162203 + 0.399699i
\(470\) −0.251363 + 0.562826i −0.0115945 + 0.0259612i
\(471\) 20.4198 10.4192i 0.940895 0.480092i
\(472\) 23.0190 8.88179i 1.05954 0.408817i
\(473\) −12.7690 + 10.0633i −0.587122 + 0.462712i
\(474\) 0.304184 0.263298i 0.0139716 0.0120937i
\(475\) 14.0237 + 7.36023i 0.643453 + 0.337710i
\(476\) −0.331014 + 0.0655954i −0.0151720 + 0.00300656i
\(477\) −3.70984 0.428811i −0.169862 0.0196339i
\(478\) 12.0879 24.7357i 0.552889 1.13139i
\(479\) −4.96897 + 25.8542i −0.227038 + 1.18131i 0.671022 + 0.741437i \(0.265856\pi\)
−0.898060 + 0.439873i \(0.855024\pi\)
\(480\) 4.57890 + 4.44903i 0.208997 + 0.203069i
\(481\) −27.4317 + 16.0489i −1.25078 + 0.731766i
\(482\) 2.93648 3.95492i 0.133753 0.180142i
\(483\) −4.43848 0.306947i −0.201958 0.0139666i
\(484\) 0.0560962 0.885121i 0.00254983 0.0402328i
\(485\) 32.8702 + 12.2501i 1.49256 + 0.556250i
\(486\) 5.71834 2.67319i 0.259389 0.121258i
\(487\) −9.05537 8.21028i −0.410338 0.372043i 0.440250 0.897875i \(-0.354890\pi\)
−0.850589 + 0.525832i \(0.823754\pi\)
\(488\) 7.64108 3.25556i 0.345895 0.147372i
\(489\) 30.2056 + 17.6717i 1.36595 + 0.799144i
\(490\) 8.45130 + 30.4857i 0.381791 + 1.37721i
\(491\) −6.00729 16.4069i −0.271105 0.740433i −0.998528 0.0542435i \(-0.982725\pi\)
0.727423 0.686190i \(-0.240718\pi\)
\(492\) 2.54137 0.720293i 0.114574 0.0324733i
\(493\) 5.68442 6.96215i 0.256014 0.313560i
\(494\) −14.9085 + 5.16863i −0.670767 + 0.232548i
\(495\) −3.50828 0.611670i −0.157686 0.0274925i
\(496\) 32.9039 + 13.5738i 1.47743 + 0.609484i
\(497\) 1.24059 + 1.88885i 0.0556480 + 0.0847265i
\(498\) −10.1790 + 9.89028i −0.456131 + 0.443194i
\(499\) 1.80497 6.51094i 0.0808016 0.291470i −0.912172 0.409808i \(-0.865596\pi\)
0.992973 + 0.118338i \(0.0377568\pi\)
\(500\) −0.683522 + 0.0551796i −0.0305680 + 0.00246771i
\(501\) −21.4139 5.27804i −0.956700 0.235805i
\(502\) −20.7043 + 15.1886i −0.924077 + 0.677902i
\(503\) −17.7094 19.3079i −0.789625 0.860895i 0.203364 0.979103i \(-0.434813\pi\)
−0.992989 + 0.118208i \(0.962285\pi\)
\(504\) 0.0813360 0.828873i 0.00362299 0.0369210i
\(505\) 35.4163 5.33815i 1.57600 0.237544i
\(506\) −7.05805 12.2249i −0.313768 0.543463i
\(507\) −2.41962 + 4.19090i −0.107459 + 0.186125i
\(508\) −0.874497 + 2.22818i −0.0387995 + 0.0988596i
\(509\) −8.27735 + 4.34429i −0.366887 + 0.192557i −0.638084 0.769967i \(-0.720273\pi\)
0.271197 + 0.962524i \(0.412580\pi\)
\(510\) −12.8592 + 10.3765i −0.569414 + 0.459477i
\(511\) 0.255717 + 0.130480i 0.0113123 + 0.00577208i
\(512\) 17.9470 + 1.86543i 0.793154 + 0.0824412i
\(513\) 2.58191 14.3213i 0.113994 0.632299i
\(514\) −12.6304 + 7.58583i −0.557104 + 0.334596i
\(515\) 10.4204 + 0.600234i 0.459177 + 0.0264495i
\(516\) 2.00277 + 0.720260i 0.0881669 + 0.0317077i
\(517\) −0.244687 0.216774i −0.0107613 0.00953370i
\(518\) 7.81768 + 4.45376i 0.343489 + 0.195687i
\(519\) −9.83479 25.9322i −0.431700 1.13830i
\(520\) −21.9704 + 27.5500i −0.963466 + 1.20815i
\(521\) −8.61608 1.40025i −0.377478 0.0613461i −0.0312873 0.999510i \(-0.509961\pi\)
−0.346190 + 0.938164i \(0.612525\pi\)
\(522\) −1.47398 2.18888i −0.0645143 0.0958049i
\(523\) 7.34270 27.7221i 0.321074 1.21220i −0.592513 0.805561i \(-0.701864\pi\)
0.913587 0.406643i \(-0.133301\pi\)
\(524\) 2.81032 + 0.658472i 0.122769 + 0.0287655i
\(525\) −5.00859 5.33607i −0.218593 0.232885i
\(526\) 7.81939 1.27078i 0.340942 0.0554084i
\(527\) −8.29919 + 14.7644i −0.361518 + 0.643148i
\(528\) −16.2066 + 8.74523i −0.705304 + 0.380587i
\(529\) −8.79089 4.35879i −0.382213 0.189513i
\(530\) 7.42941 44.1105i 0.322713 1.91604i
\(531\) 3.81367 + 0.175670i 0.165499 + 0.00762342i
\(532\) 0.324568 + 0.280942i 0.0140718 + 0.0121804i
\(533\) 11.2865 + 28.7575i 0.488871 + 1.24562i
\(534\) 8.74925 + 1.31874i 0.378617 + 0.0570674i
\(535\) −13.3308 + 52.7765i −0.576341 + 2.28173i
\(536\) −22.5945 23.5234i −0.975934 1.01606i
\(537\) −3.17267 + 5.79950i −0.136911 + 0.250267i
\(538\) −2.40048 1.15601i −0.103492 0.0498391i
\(539\) −16.7672 0.579085i −0.722216 0.0249430i
\(540\) 1.45371 + 3.58222i 0.0625577 + 0.154154i
\(541\) −0.495313 + 2.06052i −0.0212952 + 0.0885885i −0.981941 0.189188i \(-0.939414\pi\)
0.960646 + 0.277777i \(0.0895975\pi\)
\(542\) −0.866183 + 1.62755i −0.0372057 + 0.0699091i
\(543\) −2.64340 0.0608494i −0.113439 0.00261130i
\(544\) 0.555550 2.43402i 0.0238190 0.104358i
\(545\) −48.6776 0.560191i −2.08512 0.0239959i
\(546\) 7.29128 0.312038
\(547\) 8.14867 21.9226i 0.348412 0.937341i
\(548\) 3.44719 0.147257
\(549\) 1.28507 + 0.0147888i 0.0548456 + 0.000631172i
\(550\) 5.16694 22.6378i 0.220319 0.965281i
\(551\) −11.4306 0.263125i −0.486959 0.0112095i
\(552\) 7.29814 13.7131i 0.310629 0.583669i
\(553\) 0.0299178 0.124459i 0.00127223 0.00529253i
\(554\) −3.38071 8.33074i −0.143633 0.353939i
\(555\) 42.3115 + 1.46130i 1.79602 + 0.0620288i
\(556\) 3.37115 + 1.62346i 0.142968 + 0.0688500i
\(557\) −3.88829 + 7.10761i −0.164752 + 0.301159i −0.946659 0.322236i \(-0.895566\pi\)
0.781907 + 0.623395i \(0.214247\pi\)
\(558\) 3.44477 + 3.58638i 0.145829 + 0.151824i
\(559\) −6.09595 + 24.1338i −0.257831 + 1.02075i
\(560\) 10.9251 + 1.64669i 0.461669 + 0.0695855i
\(561\) −3.20146 8.15720i −0.135166 0.344397i
\(562\) −2.70375 2.34034i −0.114051 0.0987211i
\(563\) 2.23434 + 0.102921i 0.0941661 + 0.00433759i 0.0930463 0.995662i \(-0.470340\pi\)
0.00111979 + 0.999999i \(0.499644\pi\)
\(564\) −0.00710769 + 0.0422004i −0.000299288 + 0.00177696i
\(565\) −13.6554 6.77078i −0.574488 0.284849i
\(566\) −11.4778 + 6.19351i −0.482447 + 0.260332i
\(567\) −2.83444 + 5.04252i −0.119035 + 0.211766i
\(568\) −7.78813 + 1.26569i −0.326783 + 0.0531073i
\(569\) −12.1452 12.9393i −0.509154 0.542444i 0.422227 0.906490i \(-0.361249\pi\)
−0.931381 + 0.364046i \(0.881395\pi\)
\(570\) 20.4653 + 4.79513i 0.857198 + 0.200846i
\(571\) −7.55088 + 28.5081i −0.315994 + 1.19303i 0.602671 + 0.797990i \(0.294103\pi\)
−0.918666 + 0.395036i \(0.870732\pi\)
\(572\) 1.24172 + 1.84398i 0.0519190 + 0.0771006i
\(573\) −20.3839 3.31271i −0.851550 0.138390i
\(574\) 5.45291 6.83773i 0.227600 0.285401i
\(575\) 7.69247 + 20.2834i 0.320798 + 0.845875i
\(576\) 2.49437 + 1.42105i 0.103932 + 0.0592105i
\(577\) −26.6516 23.6112i −1.10952 0.982949i −0.109581 0.993978i \(-0.534951\pi\)
−0.999939 + 0.0110290i \(0.996489\pi\)
\(578\) −17.7150 6.37088i −0.736846 0.264994i
\(579\) 28.3952 + 1.63562i 1.18006 + 0.0679739i
\(580\) 2.60392 1.56392i 0.108122 0.0649381i
\(581\) −0.801194 + 4.44405i −0.0332391 + 0.184370i
\(582\) 25.2071 + 2.62005i 1.04487 + 0.108605i
\(583\) 21.1308 + 10.7820i 0.875148 + 0.446544i
\(584\) −0.780070 + 0.629462i −0.0322795 + 0.0260473i
\(585\) −4.82787 + 2.53386i −0.199608 + 0.104762i
\(586\) −14.3048 + 36.4480i −0.590926 + 1.50565i
\(587\) 21.4172 37.0957i 0.883982 1.53110i 0.0371058 0.999311i \(-0.488186\pi\)
0.846876 0.531790i \(-0.178481\pi\)
\(588\) 1.09817 + 1.90208i 0.0452876 + 0.0784404i
\(589\) 21.3049 3.21120i 0.877855 0.132315i
\(590\) −4.46576 + 45.5094i −0.183853 + 1.87359i
\(591\) −3.38683 3.69252i −0.139316 0.151890i
\(592\) −28.0534 + 20.5800i −1.15299 + 0.845832i
\(593\) 38.8776 + 9.58246i 1.59651 + 0.393505i 0.934492 0.355983i \(-0.115854\pi\)
0.662018 + 0.749488i \(0.269700\pi\)
\(594\) −21.2658 + 1.71675i −0.872547 + 0.0704393i
\(595\) −1.40448 + 5.06628i −0.0575781 + 0.207697i
\(596\) 1.94333 1.88821i 0.0796017 0.0773440i
\(597\) 18.9207 + 28.8077i 0.774374 + 1.17902i
\(598\) −19.9793 8.24203i −0.817013 0.337042i
\(599\) −2.55398 0.445286i −0.104353 0.0181939i 0.119342 0.992853i \(-0.461922\pi\)
−0.223694 + 0.974659i \(0.571812\pi\)
\(600\) 24.1430 8.37012i 0.985634 0.341709i
\(601\) 2.01421 2.46696i 0.0821614 0.100629i −0.731888 0.681424i \(-0.761361\pi\)
0.814050 + 0.580795i \(0.197258\pi\)
\(602\) 6.77980 1.92158i 0.276324 0.0783177i
\(603\) −1.73523 4.73919i −0.0706638 0.192995i
\(604\) −0.132637 0.478451i −0.00539692 0.0194679i
\(605\) −11.9264 6.97749i −0.484875 0.283675i
\(606\) 23.8052 10.1425i 0.967022 0.412010i
\(607\) −5.15152 4.67076i −0.209094 0.189580i 0.560423 0.828206i \(-0.310639\pi\)
−0.769517 + 0.638626i \(0.779503\pi\)
\(608\) −2.87709 + 1.34497i −0.116681 + 0.0545457i
\(609\) 4.95067 + 1.84503i 0.200611 + 0.0747643i
\(610\) −0.973633 + 15.3626i −0.0394212 + 0.622014i
\(611\) −0.499308 0.0345301i −0.0201998 0.00139694i
\(612\) 0.108681 0.146374i 0.00439316 0.00591681i
\(613\) −2.54157 + 1.48694i −0.102653 + 0.0600569i −0.555408 0.831578i \(-0.687438\pi\)
0.452755 + 0.891635i \(0.350441\pi\)
\(614\) −16.9288 16.4486i −0.683190 0.663812i
\(615\) 7.76713 40.4134i 0.313201 1.62963i
\(616\) −2.32283 + 4.75326i −0.0935897 + 0.191514i
\(617\) 31.3551 + 3.62425i 1.26231 + 0.145907i 0.719822 0.694158i \(-0.244223\pi\)
0.542485 + 0.840065i \(0.317483\pi\)
\(618\) 7.39695 1.46582i 0.297549 0.0589637i
\(619\) 1.94045 + 1.01843i 0.0779932 + 0.0409340i 0.503269 0.864130i \(-0.332131\pi\)
−0.425276 + 0.905064i \(0.639823\pi\)
\(620\) −4.32775 + 3.74606i −0.173807 + 0.150445i
\(621\) 15.6547 12.3375i 0.628202 0.495088i
\(622\) −38.3497 + 14.7971i −1.53768 + 0.593308i
\(623\) 2.50764 1.27952i 0.100466 0.0512631i
\(624\) −11.4977 + 25.7445i −0.460277 + 1.03061i
\(625\) 7.21383 17.7763i 0.288553 0.711051i
\(626\) −4.67952 3.35075i −0.187031 0.133923i
\(627\) −5.68437 + 9.58907i −0.227012 + 0.382951i
\(628\) −1.88891 2.36862i −0.0753758 0.0945183i
\(629\) −8.11240 14.4321i −0.323462 0.575446i
\(630\) 1.30462 + 0.824989i 0.0519771 + 0.0328683i
\(631\) −35.7064 + 4.96236i −1.42145 + 0.197548i −0.806601 0.591096i \(-0.798695\pi\)
−0.614850 + 0.788644i \(0.710783\pi\)
\(632\) 0.354185 + 0.272586i 0.0140887 + 0.0108429i
\(633\) 3.96733 36.1454i 0.157687 1.43665i
\(634\) 17.9583 19.5792i 0.713217 0.777591i
\(635\) 24.8894 + 27.7708i 0.987706 + 1.10205i
\(636\) −0.267700 3.09400i −0.0106150 0.122685i
\(637\) −20.8849 + 14.9545i −0.827490 + 0.592520i
\(638\) 3.91791 + 16.2986i 0.155111 + 0.645268i
\(639\) −1.18196 0.305798i −0.0467578 0.0120972i
\(640\) −22.8250 + 35.6392i −0.902236 + 1.40876i
\(641\) −6.61924 + 0.457760i −0.261444 + 0.0180804i −0.199118 0.979975i \(-0.563808\pi\)
−0.0623258 + 0.998056i \(0.519852\pi\)
\(642\) 0.226276 + 39.3258i 0.00893041 + 1.55206i
\(643\) 5.58894 19.2953i 0.220406 0.760931i −0.771750 0.635926i \(-0.780618\pi\)
0.992156 0.125005i \(-0.0398946\pi\)
\(644\) 0.0775839 + 0.582828i 0.00305723 + 0.0229667i
\(645\) 24.0459 22.8319i 0.946808 0.899005i
\(646\) −2.55803 7.81159i −0.100644 0.307343i
\(647\) −10.2208 15.9588i −0.401819 0.627406i 0.580579 0.814204i \(-0.302826\pi\)
−0.982398 + 0.186798i \(0.940189\pi\)
\(648\) −12.0401 16.2160i −0.472981 0.637023i
\(649\) −22.3103 9.50554i −0.875757 0.373125i
\(650\) −14.8699 32.2920i −0.583246 1.26660i
\(651\) −9.78761 1.82277i −0.383607 0.0714398i
\(652\) 1.48975 4.37830i 0.0583429 0.171467i
\(653\) −27.3605 + 9.13427i −1.07070 + 0.357452i −0.796760 0.604296i \(-0.793455\pi\)
−0.273938 + 0.961747i \(0.588326\pi\)
\(654\) −34.1480 + 8.41672i −1.33529 + 0.329120i
\(655\) 28.8397 34.5040i 1.12686 1.34818i
\(656\) 15.5443 + 30.0360i 0.606905 + 1.17271i
\(657\) −0.149697 + 0.0405730i −0.00584022 + 0.00158290i
\(658\) 0.0622111 + 0.127304i 0.00242524 + 0.00496282i
\(659\) 6.14449 + 17.3992i 0.239355 + 0.677777i 0.999604 + 0.0281447i \(0.00895992\pi\)
−0.760249 + 0.649632i \(0.774923\pi\)
\(660\) −0.0851857 2.96019i −0.00331585 0.115225i
\(661\) −10.1377 38.2745i −0.394310 1.48870i −0.813908 0.580994i \(-0.802664\pi\)
0.419598 0.907710i \(-0.362171\pi\)
\(662\) −19.7505 + 22.5539i −0.767626 + 0.876581i
\(663\) −11.5016 6.90784i −0.446684 0.268278i
\(664\) −13.0271 8.88174i −0.505551 0.344679i
\(665\) 6.18245 2.55044i 0.239745 0.0989019i
\(666\) −4.74513 + 1.05436i −0.183870 + 0.0408555i
\(667\) −11.4800 10.6519i −0.444507 0.412443i
\(668\) −0.117361 + 2.91228i −0.00454083 + 0.112680i
\(669\) −14.6563 + 6.64706i −0.566647 + 0.256990i
\(670\) 57.7651 17.8182i 2.23166 0.688376i
\(671\) −7.61630 2.93872i −0.294024 0.113448i
\(672\) 1.45969 0.151722i 0.0563088 0.00585279i
\(673\) 2.39910 32.0137i 0.0924783 1.23404i −0.737153 0.675726i \(-0.763830\pi\)
0.829631 0.558312i \(-0.188551\pi\)
\(674\) 13.1987 36.0478i 0.508395 1.38851i
\(675\) 32.6805 + 2.63824i 1.25787 + 0.101546i
\(676\) 0.606618 + 0.202519i 0.0233315 + 0.00778918i
\(677\) 9.70809 12.7655i 0.373112 0.490619i −0.570673 0.821177i \(-0.693318\pi\)
0.943785 + 0.330559i \(0.107237\pi\)
\(678\) −10.7762 2.26465i −0.413859 0.0869733i
\(679\) 7.00621 3.99147i 0.268874 0.153178i
\(680\) −14.1519 11.6910i −0.542700 0.448329i
\(681\) −0.118053 0.117376i −0.00452380 0.00449784i
\(682\) −12.5485 28.9887i −0.480507 1.11004i
\(683\) 5.68339 27.8391i 0.217469 1.06523i −0.713646 0.700507i \(-0.752957\pi\)
0.931115 0.364727i \(-0.118838\pi\)
\(684\) −0.231854 + 0.00533714i −0.00886515 + 0.000204070i
\(685\) 24.1338 47.9778i 0.922105 1.83314i
\(686\) 13.8435 + 6.27840i 0.528547 + 0.239710i
\(687\) −7.57588 0.964143i −0.289038 0.0367843i
\(688\) −3.90632 + 26.9687i −0.148927 + 1.02817i
\(689\) 35.7067 6.64973i 1.36032 0.253335i
\(690\) 16.6264 + 23.5043i 0.632957 + 0.894793i
\(691\) 31.5877 + 17.0449i 1.20165 + 0.648420i 0.947813 0.318826i \(-0.103289\pi\)
0.253838 + 0.967247i \(0.418307\pi\)
\(692\) −3.09784 + 1.95896i −0.117762 + 0.0744683i
\(693\) −0.625064 + 0.528590i −0.0237442 + 0.0200795i
\(694\) 6.94604 + 11.4158i 0.263668 + 0.433339i
\(695\) 46.1967 35.5537i 1.75234 1.34863i
\(696\) −12.9309 + 13.1560i −0.490144 + 0.498678i
\(697\) −15.0798 + 5.61998i −0.571188 + 0.212872i
\(698\) 15.8552 + 52.4714i 0.600129 + 1.98607i
\(699\) −21.2715 + 10.5471i −0.804562 + 0.398927i
\(700\) −0.558538 + 0.789590i −0.0211108 + 0.0298437i
\(701\) −11.5376 + 25.0553i −0.435767 + 0.946326i 0.557467 + 0.830199i \(0.311773\pi\)
−0.993234 + 0.116127i \(0.962952\pi\)
\(702\) −24.1993 + 21.9409i −0.913343 + 0.828105i
\(703\) −8.14346 + 19.4225i −0.307136 + 0.732535i
\(704\) −11.6948 13.9918i −0.440766 0.527335i
\(705\) 0.537582 + 0.394370i 0.0202465 + 0.0148528i
\(706\) −5.86370 53.4227i −0.220683 2.01059i
\(707\) 4.27949 7.03335i 0.160947 0.264516i
\(708\) 0.491222 + 3.13649i 0.0184613 + 0.117876i
\(709\) 15.1876 + 19.5008i 0.570382 + 0.732370i 0.984017 0.178073i \(-0.0569864\pi\)
−0.413635 + 0.910443i \(0.635741\pi\)
\(710\) 4.39070 13.9488i 0.164780 0.523490i
\(711\) 0.0331900 + 0.0606698i 0.00124472 + 0.00227529i
\(712\) 0.508787 + 9.81630i 0.0190676 + 0.367882i
\(713\) 24.7592 + 16.0585i 0.927238 + 0.601397i
\(714\) −0.0655598 + 3.79766i −0.00245351 + 0.142124i
\(715\) 34.3577 4.37253i 1.28491 0.163523i
\(716\) 0.834812 + 0.257505i 0.0311984 + 0.00962343i
\(717\) −23.3884 18.4325i −0.873457 0.688374i
\(718\) −16.6626 + 0.767532i −0.621842 + 0.0286441i
\(719\) 0.0591438 0.487093i 0.00220569 0.0181655i −0.991564 0.129614i \(-0.958626\pi\)
0.993770 + 0.111449i \(0.0355491\pi\)
\(720\) −4.97019 + 3.30548i −0.185228 + 0.123188i
\(721\) 1.64201 1.74937i 0.0611518 0.0651500i
\(722\) 9.94566 14.7695i 0.370139 0.549663i
\(723\) −3.51011 4.00832i −0.130542 0.149071i
\(724\) 0.0619976 + 0.343887i 0.00230412 + 0.0127805i
\(725\) −1.92509 25.6885i −0.0714960 0.954048i
\(726\) −9.60428 2.72211i −0.356448 0.101027i
\(727\) −22.3379 + 15.6093i −0.828468 + 0.578916i −0.908504 0.417876i \(-0.862775\pi\)
0.0800366 + 0.996792i \(0.474496\pi\)
\(728\) 1.62021 + 7.93631i 0.0600489 + 0.294139i
\(729\) −6.59050 28.8748i −0.244092 1.06944i
\(730\) −0.392516 1.81579i −0.0145277 0.0672056i
\(731\) −12.5153 3.39208i −0.462894 0.125460i
\(732\) 0.201705 + 1.04950i 0.00745524 + 0.0387906i
\(733\) −26.0432 + 39.6519i −0.961927 + 1.46458i −0.0780002 + 0.996953i \(0.524853\pi\)
−0.883927 + 0.467625i \(0.845110\pi\)
\(734\) 24.4106 16.6429i 0.901011 0.614299i
\(735\) 34.1613 1.96776i 1.26006 0.0725819i
\(736\) −4.17129 1.23429i −0.153756 0.0454964i
\(737\) −0.184460 + 32.0583i −0.00679467 + 1.18088i
\(738\) 0.298853 + 4.71549i 0.0110009 + 0.173580i
\(739\) −1.75617 + 5.81187i −0.0646016 + 0.213793i −0.983566 0.180546i \(-0.942213\pi\)
0.918965 + 0.394339i \(0.129027\pi\)
\(740\) −0.929265 5.51731i −0.0341605 0.202820i
\(741\) 2.05722 + 16.9427i 0.0755738 + 0.622406i
\(742\) −6.68461 7.81300i −0.245400 0.286824i
\(743\) 28.8096 26.7314i 1.05692 0.980680i 0.0570786 0.998370i \(-0.481821\pi\)
0.999844 + 0.0176892i \(0.00563095\pi\)
\(744\) 19.7468 28.6082i 0.723953 1.04883i
\(745\) −12.6748 40.2665i −0.464367 1.47525i
\(746\) 23.7214 24.6966i 0.868503 0.904207i
\(747\) −1.29201 2.06941i −0.0472722 0.0757159i
\(748\) −0.971601 + 0.630170i −0.0355252 + 0.0230413i