Properties

Label 483.2.y.b.340.7
Level $483$
Weight $2$
Character 483.340
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 340.7
Character \(\chi\) \(=\) 483.340
Dual form 483.2.y.b.331.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0723730 - 0.298326i) q^{2} +(-0.327068 - 0.945001i) q^{3} +(1.69391 - 0.873272i) q^{4} +(-2.45688 + 0.983585i) q^{5} +(-0.258247 + 0.165965i) q^{6} +(2.62235 + 0.351096i) q^{7} +(-0.785169 - 0.906134i) q^{8} +(-0.786053 + 0.618159i) q^{9} +O(q^{10})\) \(q+(-0.0723730 - 0.298326i) q^{2} +(-0.327068 - 0.945001i) q^{3} +(1.69391 - 0.873272i) q^{4} +(-2.45688 + 0.983585i) q^{5} +(-0.258247 + 0.165965i) q^{6} +(2.62235 + 0.351096i) q^{7} +(-0.785169 - 0.906134i) q^{8} +(-0.786053 + 0.618159i) q^{9} +(0.471240 + 0.661764i) q^{10} +(0.477956 - 1.97016i) q^{11} +(-1.37927 - 1.31513i) q^{12} +(1.94718 - 4.26374i) q^{13} +(-0.0850467 - 0.807725i) q^{14} +(1.73305 + 2.00005i) q^{15} +(1.99741 - 2.80496i) q^{16} +(0.115949 + 2.43407i) q^{17} +(0.241302 + 0.189762i) q^{18} +(0.130356 - 2.73652i) q^{19} +(-3.30279 + 3.81163i) q^{20} +(-0.525902 - 2.59296i) q^{21} -0.622340 q^{22} +(-0.778571 - 4.73221i) q^{23} +(-0.599493 + 1.03835i) q^{24} +(1.45013 - 1.38270i) q^{25} +(-1.41291 - 0.272315i) q^{26} +(0.841254 + 0.540641i) q^{27} +(4.74863 - 1.69530i) q^{28} +(6.42397 - 4.12844i) q^{29} +(0.471240 - 0.661764i) q^{30} +(-5.74055 + 1.10640i) q^{31} +(-3.20755 - 1.28411i) q^{32} +(-2.01813 + 0.192708i) q^{33} +(0.717754 - 0.210751i) q^{34} +(-6.78813 + 1.71671i) q^{35} +(-0.791683 + 1.73354i) q^{36} +(-6.70470 + 5.27263i) q^{37} +(-0.825808 + 0.159161i) q^{38} +(-4.66610 - 0.445558i) q^{39} +(2.82032 + 1.45398i) q^{40} +(-0.609770 + 4.24104i) q^{41} +(-0.735484 + 0.344550i) q^{42} +(2.70855 - 3.12583i) q^{43} +(-0.910871 - 3.75466i) q^{44} +(1.32322 - 2.29189i) q^{45} +(-1.35539 + 0.574752i) q^{46} +(-3.20703 - 5.55474i) q^{47} +(-3.30398 - 0.970136i) q^{48} +(6.75346 + 1.84139i) q^{49} +(-0.517445 - 0.332542i) q^{50} +(2.26227 - 0.905678i) q^{51} +(-0.425046 - 8.92282i) q^{52} +(13.3768 + 1.27733i) q^{53} +(0.100403 - 0.290095i) q^{54} +(0.763542 + 5.31055i) q^{55} +(-1.74085 - 2.65187i) q^{56} +(-2.62865 + 0.771841i) q^{57} +(-1.69654 - 1.61765i) q^{58} +(-0.152616 - 0.214319i) q^{59} +(4.68223 + 1.87448i) q^{60} +(-4.13750 + 11.9545i) q^{61} +(0.745528 + 1.63248i) q^{62} +(-2.27834 + 1.34505i) q^{63} +(0.829169 - 5.76700i) q^{64} +(-0.590242 + 12.3907i) q^{65} +(0.203548 + 0.588112i) q^{66} +(4.56350 - 4.35129i) q^{67} +(2.32201 + 4.02184i) q^{68} +(-4.21730 + 2.28351i) q^{69} +(1.00341 + 1.90083i) q^{70} +(8.92155 + 2.61960i) q^{71} +(1.17732 + 0.226910i) q^{72} +(-6.83329 + 3.52281i) q^{73} +(2.05820 + 1.61859i) q^{74} +(-1.78094 - 0.918140i) q^{75} +(-2.16891 - 4.74925i) q^{76} +(1.94508 - 4.99865i) q^{77} +(0.204778 + 1.42426i) q^{78} +(6.29604 - 0.601199i) q^{79} +(-2.14846 + 8.85607i) q^{80} +(0.235759 - 0.971812i) q^{81} +(1.30934 - 0.125027i) q^{82} +(0.656144 + 4.56358i) q^{83} +(-3.15519 - 3.93298i) q^{84} +(-2.67899 - 5.86616i) q^{85} +(-1.12854 - 0.581803i) q^{86} +(-6.00245 - 4.72038i) q^{87} +(-2.16051 + 1.11382i) q^{88} +(5.28148 + 1.01792i) q^{89} +(-0.779495 - 0.228880i) q^{90} +(6.60319 - 10.4974i) q^{91} +(-5.45134 - 7.33604i) q^{92} +(2.92310 + 5.06295i) q^{93} +(-1.42502 + 1.35875i) q^{94} +(2.37133 + 6.85151i) q^{95} +(-0.164398 + 3.45113i) q^{96} +(-0.122213 + 0.850010i) q^{97} +(0.0605664 - 2.14800i) q^{98} +(0.842174 + 1.84410i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{6}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0723730 0.298326i −0.0511754 0.210948i 0.940483 0.339840i \(-0.110373\pi\)
−0.991659 + 0.128892i \(0.958858\pi\)
\(3\) −0.327068 0.945001i −0.188833 0.545596i
\(4\) 1.69391 0.873272i 0.846955 0.436636i
\(5\) −2.45688 + 0.983585i −1.09875 + 0.439873i −0.848976 0.528432i \(-0.822780\pi\)
−0.249773 + 0.968304i \(0.580356\pi\)
\(6\) −0.258247 + 0.165965i −0.105429 + 0.0677550i
\(7\) 2.62235 + 0.351096i 0.991156 + 0.132702i
\(8\) −0.785169 0.906134i −0.277599 0.320367i
\(9\) −0.786053 + 0.618159i −0.262018 + 0.206053i
\(10\) 0.471240 + 0.661764i 0.149019 + 0.209268i
\(11\) 0.477956 1.97016i 0.144109 0.594026i −0.853257 0.521491i \(-0.825376\pi\)
0.997366 0.0725348i \(-0.0231088\pi\)
\(12\) −1.37927 1.31513i −0.398160 0.379645i
\(13\) 1.94718 4.26374i 0.540052 1.18255i −0.421223 0.906957i \(-0.638399\pi\)
0.961275 0.275592i \(-0.0888737\pi\)
\(14\) −0.0850467 0.807725i −0.0227297 0.215873i
\(15\) 1.73305 + 2.00005i 0.447473 + 0.516411i
\(16\) 1.99741 2.80496i 0.499351 0.701241i
\(17\) 0.115949 + 2.43407i 0.0281218 + 0.590349i 0.968319 + 0.249717i \(0.0803377\pi\)
−0.940197 + 0.340631i \(0.889359\pi\)
\(18\) 0.241302 + 0.189762i 0.0568753 + 0.0447273i
\(19\) 0.130356 2.73652i 0.0299058 0.627800i −0.933310 0.359072i \(-0.883093\pi\)
0.963216 0.268729i \(-0.0866036\pi\)
\(20\) −3.30279 + 3.81163i −0.738527 + 0.852305i
\(21\) −0.525902 2.59296i −0.114761 0.565830i
\(22\) −0.622340 −0.132683
\(23\) −0.778571 4.73221i −0.162343 0.986734i
\(24\) −0.599493 + 1.03835i −0.122371 + 0.211953i
\(25\) 1.45013 1.38270i 0.290027 0.276540i
\(26\) −1.41291 0.272315i −0.277094 0.0534054i
\(27\) 0.841254 + 0.540641i 0.161899 + 0.104046i
\(28\) 4.74863 1.69530i 0.897407 0.320382i
\(29\) 6.42397 4.12844i 1.19290 0.766632i 0.215188 0.976573i \(-0.430964\pi\)
0.977714 + 0.209941i \(0.0673272\pi\)
\(30\) 0.471240 0.661764i 0.0860363 0.120821i
\(31\) −5.74055 + 1.10640i −1.03103 + 0.198715i −0.676588 0.736362i \(-0.736542\pi\)
−0.354445 + 0.935077i \(0.615330\pi\)
\(32\) −3.20755 1.28411i −0.567021 0.227001i
\(33\) −2.01813 + 0.192708i −0.351311 + 0.0335461i
\(34\) 0.717754 0.210751i 0.123094 0.0361436i
\(35\) −6.78813 + 1.71671i −1.14740 + 0.290177i
\(36\) −0.791683 + 1.73354i −0.131947 + 0.288924i
\(37\) −6.70470 + 5.27263i −1.10225 + 0.866815i −0.991893 0.127077i \(-0.959440\pi\)
−0.110352 + 0.993893i \(0.535198\pi\)
\(38\) −0.825808 + 0.159161i −0.133964 + 0.0258194i
\(39\) −4.66610 0.445558i −0.747174 0.0713465i
\(40\) 2.82032 + 1.45398i 0.445932 + 0.229894i
\(41\) −0.609770 + 4.24104i −0.0952301 + 0.662340i 0.885162 + 0.465283i \(0.154047\pi\)
−0.980392 + 0.197057i \(0.936862\pi\)
\(42\) −0.735484 + 0.344550i −0.113488 + 0.0531652i
\(43\) 2.70855 3.12583i 0.413050 0.476685i −0.510657 0.859784i \(-0.670598\pi\)
0.923707 + 0.383099i \(0.125143\pi\)
\(44\) −0.910871 3.75466i −0.137319 0.566037i
\(45\) 1.32322 2.29189i 0.197255 0.341655i
\(46\) −1.35539 + 0.574752i −0.199842 + 0.0847426i
\(47\) −3.20703 5.55474i −0.467793 0.810242i 0.531530 0.847040i \(-0.321617\pi\)
−0.999323 + 0.0367982i \(0.988284\pi\)
\(48\) −3.30398 0.970136i −0.476888 0.140027i
\(49\) 6.75346 + 1.84139i 0.964780 + 0.263056i
\(50\) −0.517445 0.332542i −0.0731778 0.0470285i
\(51\) 2.26227 0.905678i 0.316782 0.126820i
\(52\) −0.425046 8.92282i −0.0589433 1.23737i
\(53\) 13.3768 + 1.27733i 1.83744 + 0.175455i 0.955322 0.295568i \(-0.0955089\pi\)
0.882121 + 0.471022i \(0.156115\pi\)
\(54\) 0.100403 0.290095i 0.0136631 0.0394770i
\(55\) 0.763542 + 5.31055i 0.102956 + 0.716075i
\(56\) −1.74085 2.65187i −0.232631 0.354371i
\(57\) −2.62865 + 0.771841i −0.348173 + 0.102233i
\(58\) −1.69654 1.61765i −0.222767 0.212408i
\(59\) −0.152616 0.214319i −0.0198689 0.0279020i 0.804522 0.593923i \(-0.202422\pi\)
−0.824391 + 0.566021i \(0.808482\pi\)
\(60\) 4.68223 + 1.87448i 0.604473 + 0.241994i
\(61\) −4.13750 + 11.9545i −0.529753 + 1.53062i 0.289494 + 0.957180i \(0.406513\pi\)
−0.819247 + 0.573441i \(0.805608\pi\)
\(62\) 0.745528 + 1.63248i 0.0946822 + 0.207325i
\(63\) −2.27834 + 1.34505i −0.287044 + 0.169460i
\(64\) 0.829169 5.76700i 0.103646 0.720875i
\(65\) −0.590242 + 12.3907i −0.0732105 + 1.53688i
\(66\) 0.203548 + 0.588112i 0.0250550 + 0.0723916i
\(67\) 4.56350 4.35129i 0.557520 0.531594i −0.358077 0.933692i \(-0.616567\pi\)
0.915597 + 0.402098i \(0.131719\pi\)
\(68\) 2.32201 + 4.02184i 0.281585 + 0.487720i
\(69\) −4.21730 + 2.28351i −0.507703 + 0.274902i
\(70\) 1.00341 + 1.90083i 0.119931 + 0.227193i
\(71\) 8.92155 + 2.61960i 1.05879 + 0.310890i 0.764365 0.644784i \(-0.223053\pi\)
0.294428 + 0.955674i \(0.404871\pi\)
\(72\) 1.17732 + 0.226910i 0.138748 + 0.0267416i
\(73\) −6.83329 + 3.52281i −0.799776 + 0.412313i −0.809120 0.587643i \(-0.800056\pi\)
0.00934393 + 0.999956i \(0.497026\pi\)
\(74\) 2.05820 + 1.61859i 0.239261 + 0.188157i
\(75\) −1.78094 0.918140i −0.205646 0.106018i
\(76\) −2.16891 4.74925i −0.248791 0.544777i
\(77\) 1.94508 4.99865i 0.221663 0.569649i
\(78\) 0.204778 + 1.42426i 0.0231866 + 0.161266i
\(79\) 6.29604 0.601199i 0.708360 0.0676402i 0.265344 0.964154i \(-0.414514\pi\)
0.443016 + 0.896514i \(0.353908\pi\)
\(80\) −2.14846 + 8.85607i −0.240205 + 0.990138i
\(81\) 0.235759 0.971812i 0.0261954 0.107979i
\(82\) 1.30934 0.125027i 0.144593 0.0138069i
\(83\) 0.656144 + 4.56358i 0.0720212 + 0.500918i 0.993620 + 0.112776i \(0.0359741\pi\)
−0.921599 + 0.388143i \(0.873117\pi\)
\(84\) −3.15519 3.93298i −0.344259 0.429124i
\(85\) −2.67899 5.86616i −0.290577 0.636275i
\(86\) −1.12854 0.581803i −0.121694 0.0627375i
\(87\) −6.00245 4.72038i −0.643531 0.506078i
\(88\) −2.16051 + 1.11382i −0.230311 + 0.118733i
\(89\) 5.28148 + 1.01792i 0.559836 + 0.107900i 0.461317 0.887236i \(-0.347377\pi\)
0.0985193 + 0.995135i \(0.468589\pi\)
\(90\) −0.779495 0.228880i −0.0821660 0.0241261i
\(91\) 6.60319 10.4974i 0.692202 1.10042i
\(92\) −5.45134 7.33604i −0.568341 0.764835i
\(93\) 2.92310 + 5.06295i 0.303111 + 0.525004i
\(94\) −1.42502 + 1.35875i −0.146979 + 0.140145i
\(95\) 2.37133 + 6.85151i 0.243293 + 0.702950i
\(96\) −0.164398 + 3.45113i −0.0167788 + 0.352230i
\(97\) −0.122213 + 0.850010i −0.0124088 + 0.0863054i −0.995085 0.0990268i \(-0.968427\pi\)
0.982676 + 0.185332i \(0.0593361\pi\)
\(98\) 0.0605664 2.14800i 0.00611813 0.216981i
\(99\) 0.842174 + 1.84410i 0.0846417 + 0.185339i
\(100\) 1.24892 3.60853i 0.124892 0.360853i
\(101\) −3.22085 1.28943i −0.320486 0.128303i 0.205841 0.978585i \(-0.434007\pi\)
−0.526327 + 0.850282i \(0.676431\pi\)
\(102\) −0.433914 0.609348i −0.0429639 0.0603344i
\(103\) 11.0821 + 10.5668i 1.09195 + 1.04118i 0.998964 + 0.0455092i \(0.0144910\pi\)
0.0929903 + 0.995667i \(0.470357\pi\)
\(104\) −5.39239 + 1.58335i −0.528767 + 0.155260i
\(105\) 3.84247 + 5.85331i 0.374987 + 0.571224i
\(106\) −0.587059 4.08308i −0.0570202 0.396584i
\(107\) −5.85031 + 16.9034i −0.565571 + 1.63411i 0.192027 + 0.981390i \(0.438494\pi\)
−0.757598 + 0.652721i \(0.773627\pi\)
\(108\) 1.89713 + 0.181154i 0.182552 + 0.0174316i
\(109\) 0.480883 + 10.0950i 0.0460603 + 0.966924i 0.897101 + 0.441825i \(0.145669\pi\)
−0.851041 + 0.525099i \(0.824028\pi\)
\(110\) 1.52901 0.612125i 0.145786 0.0583638i
\(111\) 7.17553 + 4.61143i 0.681071 + 0.437698i
\(112\) 6.22271 6.65432i 0.587991 0.628774i
\(113\) −14.5398 4.26927i −1.36779 0.401619i −0.486286 0.873799i \(-0.661649\pi\)
−0.881502 + 0.472181i \(0.843467\pi\)
\(114\) 0.420503 + 0.728332i 0.0393837 + 0.0682146i
\(115\) 6.56739 + 10.8607i 0.612412 + 1.01276i
\(116\) 7.27639 12.6031i 0.675596 1.17017i
\(117\) 1.10508 + 4.55520i 0.102165 + 0.421128i
\(118\) −0.0528917 + 0.0610403i −0.00486907 + 0.00561921i
\(119\) −0.550532 + 6.42370i −0.0504672 + 0.588859i
\(120\) 0.451573 3.14076i 0.0412228 0.286711i
\(121\) 6.12410 + 3.15719i 0.556736 + 0.287017i
\(122\) 3.86579 + 0.369138i 0.349992 + 0.0334202i
\(123\) 4.20723 0.810877i 0.379353 0.0731143i
\(124\) −8.75779 + 6.88720i −0.786473 + 0.618489i
\(125\) 3.29407 7.21301i 0.294631 0.645152i
\(126\) 0.566153 + 0.582342i 0.0504370 + 0.0518792i
\(127\) −19.7270 + 5.79238i −1.75049 + 0.513991i −0.990687 0.136161i \(-0.956524\pi\)
−0.759804 + 0.650152i \(0.774705\pi\)
\(128\) −8.65925 + 0.826858i −0.765377 + 0.0730846i
\(129\) −3.83979 1.53722i −0.338075 0.135345i
\(130\) 3.73918 0.720668i 0.327948 0.0632068i
\(131\) −2.57099 + 3.61044i −0.224628 + 0.315446i −0.911474 0.411357i \(-0.865055\pi\)
0.686846 + 0.726803i \(0.258994\pi\)
\(132\) −3.25024 + 2.08880i −0.282897 + 0.181807i
\(133\) 1.30262 7.13035i 0.112952 0.618280i
\(134\) −1.62837 1.04649i −0.140670 0.0904032i
\(135\) −2.59862 0.500843i −0.223654 0.0431057i
\(136\) 2.11455 2.01622i 0.181321 0.172890i
\(137\) −5.30754 + 9.19292i −0.453453 + 0.785404i −0.998598 0.0529378i \(-0.983141\pi\)
0.545144 + 0.838342i \(0.316475\pi\)
\(138\) 0.986446 + 1.09286i 0.0839719 + 0.0930307i
\(139\) 19.8274 1.68174 0.840868 0.541240i \(-0.182045\pi\)
0.840868 + 0.541240i \(0.182045\pi\)
\(140\) −9.99933 + 8.83583i −0.845098 + 0.746764i
\(141\) −4.20031 + 4.84742i −0.353730 + 0.408227i
\(142\) 0.135815 2.85112i 0.0113974 0.239260i
\(143\) −7.46958 5.87415i −0.624638 0.491221i
\(144\) 0.163847 + 3.43956i 0.0136539 + 0.286630i
\(145\) −11.7222 + 16.4616i −0.973479 + 1.36706i
\(146\) 1.54549 + 1.78359i 0.127906 + 0.147611i
\(147\) −0.468723 6.98429i −0.0386596 0.576054i
\(148\) −6.75272 + 14.7864i −0.555070 + 1.21543i
\(149\) −1.41775 1.35182i −0.116146 0.110745i 0.629781 0.776773i \(-0.283145\pi\)
−0.745927 + 0.666028i \(0.767993\pi\)
\(150\) −0.145012 + 0.597750i −0.0118402 + 0.0488061i
\(151\) 8.22916 + 11.5562i 0.669680 + 0.940434i 0.999994 0.00343744i \(-0.00109417\pi\)
−0.330314 + 0.943871i \(0.607155\pi\)
\(152\) −2.58200 + 2.03051i −0.209428 + 0.164696i
\(153\) −1.59578 1.84163i −0.129011 0.148887i
\(154\) −1.63200 0.218501i −0.131510 0.0176073i
\(155\) 13.0156 8.36461i 1.04544 0.671861i
\(156\) −8.29305 + 3.32004i −0.663975 + 0.265816i
\(157\) 3.78535 1.95148i 0.302104 0.155745i −0.300509 0.953779i \(-0.597157\pi\)
0.602613 + 0.798034i \(0.294126\pi\)
\(158\) −0.635017 1.83476i −0.0505192 0.145966i
\(159\) −3.16804 13.0588i −0.251242 1.03563i
\(160\) 9.14359 0.722864
\(161\) −0.380228 12.6829i −0.0299661 0.999551i
\(162\) −0.306979 −0.0241185
\(163\) −2.44657 10.0849i −0.191630 0.789911i −0.983750 0.179545i \(-0.942537\pi\)
0.792119 0.610366i \(-0.208978\pi\)
\(164\) 2.67069 + 7.71645i 0.208546 + 0.602553i
\(165\) 4.76875 2.45846i 0.371246 0.191391i
\(166\) 1.31395 0.526025i 0.101982 0.0408274i
\(167\) −7.48917 + 4.81300i −0.579529 + 0.372441i −0.797322 0.603554i \(-0.793751\pi\)
0.217793 + 0.975995i \(0.430114\pi\)
\(168\) −1.93664 + 2.51245i −0.149415 + 0.193840i
\(169\) −5.87476 6.77983i −0.451905 0.521526i
\(170\) −1.55614 + 1.22376i −0.119350 + 0.0938583i
\(171\) 1.58914 + 2.23163i 0.121524 + 0.170657i
\(172\) 1.85834 7.66018i 0.141697 0.584083i
\(173\) 2.42144 + 2.30883i 0.184098 + 0.175537i 0.776524 0.630088i \(-0.216981\pi\)
−0.592426 + 0.805625i \(0.701830\pi\)
\(174\) −0.973795 + 2.13231i −0.0738232 + 0.161650i
\(175\) 4.28822 3.11679i 0.324159 0.235607i
\(176\) −4.57156 5.27586i −0.344594 0.397683i
\(177\) −0.152616 + 0.214319i −0.0114713 + 0.0161092i
\(178\) −0.0785644 1.64927i −0.00588865 0.123618i
\(179\) 7.35260 + 5.78215i 0.549559 + 0.432178i 0.853939 0.520373i \(-0.174207\pi\)
−0.304380 + 0.952551i \(0.598449\pi\)
\(180\) 0.239980 5.03779i 0.0178870 0.375495i
\(181\) 0.234575 0.270714i 0.0174358 0.0201220i −0.746965 0.664864i \(-0.768490\pi\)
0.764401 + 0.644742i \(0.223035\pi\)
\(182\) −3.60953 1.21017i −0.267556 0.0897039i
\(183\) 12.6503 0.935136
\(184\) −3.67671 + 4.42108i −0.271050 + 0.325926i
\(185\) 11.2865 19.5488i 0.829802 1.43726i
\(186\) 1.29886 1.23846i 0.0952367 0.0908080i
\(187\) 4.85093 + 0.934939i 0.354735 + 0.0683695i
\(188\) −10.2832 6.60862i −0.749980 0.481983i
\(189\) 2.01625 + 1.71311i 0.146660 + 0.124611i
\(190\) 1.87236 1.20329i 0.135835 0.0872960i
\(191\) −2.21107 + 3.10502i −0.159988 + 0.224671i −0.886787 0.462179i \(-0.847068\pi\)
0.726799 + 0.686850i \(0.241007\pi\)
\(192\) −5.72101 + 1.10264i −0.412879 + 0.0795758i
\(193\) −9.40326 3.76450i −0.676862 0.270974i 0.00765619 0.999971i \(-0.497563\pi\)
−0.684518 + 0.728996i \(0.739987\pi\)
\(194\) 0.262425 0.0250585i 0.0188410 0.00179910i
\(195\) 11.9023 3.49482i 0.852340 0.250270i
\(196\) 13.0478 2.77845i 0.931986 0.198461i
\(197\) 2.56755 5.62216i 0.182931 0.400562i −0.795844 0.605502i \(-0.792973\pi\)
0.978775 + 0.204940i \(0.0656998\pi\)
\(198\) 0.489193 0.384705i 0.0347654 0.0273398i
\(199\) −5.27345 + 1.01637i −0.373825 + 0.0720489i −0.372703 0.927951i \(-0.621569\pi\)
−0.00112156 + 0.999999i \(0.500357\pi\)
\(200\) −2.39151 0.228362i −0.169105 0.0161476i
\(201\) −5.60454 2.88934i −0.395314 0.203799i
\(202\) −0.151568 + 1.05418i −0.0106643 + 0.0741719i
\(203\) 18.2954 8.57079i 1.28409 0.601551i
\(204\) 3.04119 3.50972i 0.212926 0.245729i
\(205\) −2.67330 11.0195i −0.186711 0.769634i
\(206\) 2.35030 4.07083i 0.163753 0.283628i
\(207\) 3.53726 + 3.23849i 0.245856 + 0.225091i
\(208\) −8.07032 13.9782i −0.559576 0.969214i
\(209\) −5.32908 1.56476i −0.368620 0.108237i
\(210\) 1.46810 1.56993i 0.101309 0.108335i
\(211\) −16.0153 10.2924i −1.10254 0.708556i −0.142881 0.989740i \(-0.545637\pi\)
−0.959654 + 0.281183i \(0.909273\pi\)
\(212\) 23.7745 9.51789i 1.63284 0.653691i
\(213\) −0.442426 9.28766i −0.0303145 0.636380i
\(214\) 5.46611 + 0.521951i 0.373656 + 0.0356798i
\(215\) −3.58005 + 10.3439i −0.244157 + 0.705446i
\(216\) −0.170634 1.18678i −0.0116101 0.0807503i
\(217\) −15.4422 + 0.885888i −1.04828 + 0.0601380i
\(218\) 2.97679 0.874064i 0.201614 0.0591991i
\(219\) 5.56401 + 5.30527i 0.375981 + 0.358497i
\(220\) 5.93093 + 8.32882i 0.399863 + 0.561529i
\(221\) 10.6040 + 4.24521i 0.713303 + 0.285563i
\(222\) 0.856394 2.47439i 0.0574774 0.166070i
\(223\) −0.946517 2.07258i −0.0633835 0.138790i 0.875289 0.483600i \(-0.160671\pi\)
−0.938673 + 0.344809i \(0.887944\pi\)
\(224\) −7.96049 4.49355i −0.531882 0.300238i
\(225\) −0.285154 + 1.98329i −0.0190102 + 0.132219i
\(226\) −0.221343 + 4.64657i −0.0147235 + 0.309085i
\(227\) −6.85765 19.8139i −0.455158 1.31509i −0.906298 0.422640i \(-0.861103\pi\)
0.451139 0.892453i \(-0.351018\pi\)
\(228\) −3.77867 + 3.60295i −0.250248 + 0.238611i
\(229\) −2.08379 3.60923i −0.137701 0.238505i 0.788925 0.614489i \(-0.210638\pi\)
−0.926626 + 0.375985i \(0.877305\pi\)
\(230\) 2.76471 2.74524i 0.182300 0.181016i
\(231\) −5.35990 0.203208i −0.352656 0.0133701i
\(232\) −8.78482 2.57946i −0.576752 0.169350i
\(233\) −15.7175 3.02930i −1.02969 0.198456i −0.353692 0.935362i \(-0.615074\pi\)
−0.675995 + 0.736906i \(0.736286\pi\)
\(234\) 1.27895 0.659346i 0.0836078 0.0431028i
\(235\) 13.3428 + 10.4929i 0.870390 + 0.684482i
\(236\) −0.445677 0.229763i −0.0290111 0.0149563i
\(237\) −2.62737 5.75313i −0.170666 0.373706i
\(238\) 1.95620 0.300664i 0.126801 0.0194892i
\(239\) −1.08730 7.56236i −0.0703318 0.489168i −0.994293 0.106683i \(-0.965977\pi\)
0.923961 0.382486i \(-0.124932\pi\)
\(240\) 9.07168 0.866241i 0.585575 0.0559156i
\(241\) 5.98319 24.6630i 0.385411 1.58869i −0.367150 0.930162i \(-0.619666\pi\)
0.752560 0.658523i \(-0.228819\pi\)
\(242\) 0.498652 2.05547i 0.0320545 0.132131i
\(243\) −0.995472 + 0.0950560i −0.0638596 + 0.00609785i
\(244\) 3.43099 + 23.8631i 0.219647 + 1.52768i
\(245\) −18.4036 + 2.11853i −1.17576 + 0.135348i
\(246\) −0.546395 1.19644i −0.0348369 0.0762821i
\(247\) −11.4140 5.88431i −0.726254 0.374410i
\(248\) 5.50985 + 4.33299i 0.349876 + 0.275145i
\(249\) 4.09798 2.11266i 0.259699 0.133884i
\(250\) −2.39023 0.460679i −0.151171 0.0291359i
\(251\) 22.3858 + 6.57307i 1.41298 + 0.414888i 0.897121 0.441785i \(-0.145655\pi\)
0.515859 + 0.856674i \(0.327473\pi\)
\(252\) −2.68471 + 4.26801i −0.169121 + 0.268859i
\(253\) −9.69534 0.727878i −0.609541 0.0457613i
\(254\) 3.15572 + 5.46587i 0.198007 + 0.342959i
\(255\) −4.66732 + 4.45028i −0.292279 + 0.278687i
\(256\) −2.93783 8.48829i −0.183614 0.530518i
\(257\) 1.06015 22.2553i 0.0661302 1.38824i −0.685218 0.728338i \(-0.740293\pi\)
0.751348 0.659906i \(-0.229404\pi\)
\(258\) −0.180695 + 1.25676i −0.0112496 + 0.0782426i
\(259\) −19.4333 + 11.4727i −1.20752 + 0.712879i
\(260\) 9.82063 + 21.5042i 0.609050 + 1.33363i
\(261\) −2.49755 + 7.21621i −0.154595 + 0.446672i
\(262\) 1.26316 + 0.505692i 0.0780381 + 0.0312418i
\(263\) 10.2697 + 14.4218i 0.633257 + 0.889286i 0.999144 0.0413740i \(-0.0131735\pi\)
−0.365886 + 0.930660i \(0.619234\pi\)
\(264\) 1.75919 + 1.67739i 0.108271 + 0.103236i
\(265\) −34.1215 + 10.0190i −2.09607 + 0.615460i
\(266\) −2.22144 + 0.127440i −0.136205 + 0.00781383i
\(267\) −0.765466 5.32393i −0.0468458 0.325819i
\(268\) 3.93030 11.3559i 0.240081 0.693670i
\(269\) 0.618970 + 0.0591045i 0.0377393 + 0.00360366i 0.113909 0.993491i \(-0.463663\pi\)
−0.0761693 + 0.997095i \(0.524269\pi\)
\(270\) 0.0386557 + 0.811483i 0.00235251 + 0.0493853i
\(271\) 5.61195 2.24668i 0.340901 0.136476i −0.194894 0.980824i \(-0.562436\pi\)
0.535795 + 0.844348i \(0.320012\pi\)
\(272\) 7.05907 + 4.53659i 0.428019 + 0.275071i
\(273\) −12.0797 2.80666i −0.731098 0.169867i
\(274\) 3.12661 + 0.918054i 0.188885 + 0.0554617i
\(275\) −2.03104 3.51786i −0.122476 0.212135i
\(276\) −5.14961 + 7.55090i −0.309970 + 0.454511i
\(277\) −11.8550 + 20.5334i −0.712295 + 1.23373i 0.251699 + 0.967806i \(0.419011\pi\)
−0.963994 + 0.265926i \(0.914322\pi\)
\(278\) −1.43497 5.91501i −0.0860636 0.354759i
\(279\) 3.82844 4.41826i 0.229203 0.264514i
\(280\) 6.88540 + 4.80305i 0.411481 + 0.287037i
\(281\) −2.61045 + 18.1561i −0.155726 + 1.08310i 0.750671 + 0.660676i \(0.229730\pi\)
−0.906398 + 0.422425i \(0.861179\pi\)
\(282\) 1.75010 + 0.902239i 0.104217 + 0.0537275i
\(283\) 21.7538 + 2.07723i 1.29313 + 0.123479i 0.718840 0.695176i \(-0.244673\pi\)
0.574287 + 0.818654i \(0.305279\pi\)
\(284\) 17.3999 3.35356i 1.03250 0.198997i
\(285\) 5.69909 4.48182i 0.337585 0.265480i
\(286\) −1.21181 + 2.65350i −0.0716559 + 0.156905i
\(287\) −3.08805 + 10.9074i −0.182282 + 0.643845i
\(288\) 3.31509 0.973398i 0.195344 0.0573581i
\(289\) 11.0118 1.05150i 0.647751 0.0618528i
\(290\) 5.75929 + 2.30567i 0.338197 + 0.135394i
\(291\) 0.843232 0.162520i 0.0494311 0.00952707i
\(292\) −8.49862 + 11.9346i −0.497344 + 0.698422i
\(293\) 7.42190 4.76977i 0.433592 0.278653i −0.305584 0.952165i \(-0.598852\pi\)
0.739176 + 0.673512i \(0.235215\pi\)
\(294\) −2.04967 + 0.645306i −0.119539 + 0.0376350i
\(295\) 0.585761 + 0.376445i 0.0341043 + 0.0219175i
\(296\) 10.0420 + 1.93544i 0.583681 + 0.112495i
\(297\) 1.46723 1.39900i 0.0851374 0.0811783i
\(298\) −0.300676 + 0.520786i −0.0174177 + 0.0301683i
\(299\) −21.6929 5.89487i −1.25454 0.340909i
\(300\) −3.81855 −0.220464
\(301\) 8.20023 7.24607i 0.472654 0.417657i
\(302\) 2.85195 3.29133i 0.164111 0.189395i
\(303\) −0.165079 + 3.46543i −0.00948354 + 0.199084i
\(304\) −7.41546 5.83158i −0.425306 0.334464i
\(305\) −1.59296 33.4404i −0.0912128 1.91479i
\(306\) −0.433914 + 0.609348i −0.0248052 + 0.0348341i
\(307\) −11.8968 13.7296i −0.678984 0.783590i 0.306770 0.951784i \(-0.400752\pi\)
−0.985754 + 0.168194i \(0.946206\pi\)
\(308\) −1.07038 10.1658i −0.0609905 0.579253i
\(309\) 6.36101 13.9287i 0.361865 0.792375i
\(310\) −3.43735 3.27751i −0.195228 0.186150i
\(311\) −6.02593 + 24.8392i −0.341699 + 1.40850i 0.498812 + 0.866710i \(0.333770\pi\)
−0.840511 + 0.541794i \(0.817745\pi\)
\(312\) 3.25994 + 4.57795i 0.184558 + 0.259175i
\(313\) −11.4757 + 9.02459i −0.648645 + 0.510100i −0.887412 0.460977i \(-0.847499\pi\)
0.238767 + 0.971077i \(0.423257\pi\)
\(314\) −0.856134 0.988032i −0.0483145 0.0557579i
\(315\) 4.27463 5.54557i 0.240848 0.312457i
\(316\) 10.1399 6.51654i 0.570415 0.366584i
\(317\) 2.38947 0.956601i 0.134206 0.0537281i −0.303587 0.952804i \(-0.598184\pi\)
0.437793 + 0.899076i \(0.355760\pi\)
\(318\) −3.66651 + 1.89022i −0.205608 + 0.105998i
\(319\) −5.06331 14.6295i −0.283491 0.819093i
\(320\) 3.63517 + 14.9844i 0.203212 + 0.837652i
\(321\) 17.8872 0.998364
\(322\) −3.75611 + 1.03133i −0.209320 + 0.0574738i
\(323\) 6.67599 0.371462
\(324\) −0.449301 1.85204i −0.0249612 0.102891i
\(325\) −3.07179 8.87536i −0.170392 0.492316i
\(326\) −2.83152 + 1.45975i −0.156823 + 0.0808481i
\(327\) 9.38249 3.75618i 0.518853 0.207717i
\(328\) 4.32173 2.77741i 0.238627 0.153357i
\(329\) −6.45971 15.6925i −0.356136 0.865153i
\(330\) −1.07855 1.24471i −0.0593722 0.0685192i
\(331\) −21.3700 + 16.8056i −1.17460 + 0.923718i −0.998163 0.0605939i \(-0.980701\pi\)
−0.176440 + 0.984311i \(0.556458\pi\)
\(332\) 5.09670 + 7.15731i 0.279718 + 0.392808i
\(333\) 2.01092 8.28914i 0.110198 0.454242i
\(334\) 1.97785 + 1.88588i 0.108223 + 0.103191i
\(335\) −6.93209 + 15.1792i −0.378741 + 0.829326i
\(336\) −8.32359 3.70405i −0.454089 0.202073i
\(337\) −10.7666 12.4253i −0.586494 0.676851i 0.382494 0.923958i \(-0.375065\pi\)
−0.968988 + 0.247107i \(0.920520\pi\)
\(338\) −1.59742 + 2.24327i −0.0868884 + 0.122018i
\(339\) 0.721038 + 15.1365i 0.0391614 + 0.822099i
\(340\) −9.66072 7.59727i −0.523926 0.412020i
\(341\) −0.563943 + 11.8386i −0.0305392 + 0.641097i
\(342\) 0.550742 0.635590i 0.0297807 0.0343688i
\(343\) 17.0635 + 7.19990i 0.921340 + 0.388758i
\(344\) −4.95909 −0.267376
\(345\) 8.11536 9.75836i 0.436916 0.525373i
\(346\) 0.513538 0.889473i 0.0276080 0.0478184i
\(347\) 20.6609 19.7002i 1.10914 1.05756i 0.111172 0.993801i \(-0.464540\pi\)
0.997965 0.0637592i \(-0.0203090\pi\)
\(348\) −14.2898 2.75413i −0.766013 0.147637i
\(349\) −5.26380 3.38284i −0.281765 0.181079i 0.392123 0.919913i \(-0.371741\pi\)
−0.673888 + 0.738834i \(0.735377\pi\)
\(350\) −1.24017 1.05371i −0.0662898 0.0563234i
\(351\) 3.94323 2.53416i 0.210474 0.135263i
\(352\) −4.06297 + 5.70565i −0.216557 + 0.304112i
\(353\) −29.3962 + 5.66566i −1.56460 + 0.301553i −0.896681 0.442678i \(-0.854029\pi\)
−0.667923 + 0.744231i \(0.732816\pi\)
\(354\) 0.0749823 + 0.0300184i 0.00398526 + 0.00159546i
\(355\) −24.4958 + 2.33906i −1.30010 + 0.124144i
\(356\) 9.83528 2.88790i 0.521269 0.153058i
\(357\) 6.25046 1.58073i 0.330809 0.0836612i
\(358\) 1.19283 2.61194i 0.0630432 0.138045i
\(359\) 24.8118 19.5122i 1.30952 1.02981i 0.312718 0.949846i \(-0.398760\pi\)
0.996797 0.0799686i \(-0.0254820\pi\)
\(360\) −3.11571 + 0.600505i −0.164213 + 0.0316494i
\(361\) 11.4424 + 1.09262i 0.602233 + 0.0575063i
\(362\) −0.0977378 0.0503874i −0.00513699 0.00264830i
\(363\) 0.980553 6.81989i 0.0514657 0.357952i
\(364\) 2.01814 23.5480i 0.105779 1.23425i
\(365\) 13.3236 15.3762i 0.697388 0.804829i
\(366\) −0.915539 3.77390i −0.0478560 0.197265i
\(367\) −2.64492 + 4.58113i −0.138064 + 0.239133i −0.926764 0.375645i \(-0.877421\pi\)
0.788700 + 0.614778i \(0.210755\pi\)
\(368\) −14.8288 7.26828i −0.773005 0.378885i
\(369\) −2.14233 3.71062i −0.111525 0.193167i
\(370\) −6.64876 1.95225i −0.345653 0.101493i
\(371\) 34.6302 + 8.04614i 1.79791 + 0.417735i
\(372\) 9.37280 + 6.02353i 0.485957 + 0.312306i
\(373\) −4.36512 + 1.74753i −0.226017 + 0.0904837i −0.481907 0.876222i \(-0.660056\pi\)
0.255890 + 0.966706i \(0.417632\pi\)
\(374\) −0.0721598 1.51482i −0.00373129 0.0783295i
\(375\) −7.89369 0.753756i −0.407628 0.0389238i
\(376\) −2.51527 + 7.26741i −0.129715 + 0.374788i
\(377\) −5.09392 35.4290i −0.262350 1.82469i
\(378\) 0.365143 0.725481i 0.0187809 0.0373147i
\(379\) −6.64398 + 1.95085i −0.341278 + 0.100208i −0.447881 0.894093i \(-0.647821\pi\)
0.106602 + 0.994302i \(0.466003\pi\)
\(380\) 10.0000 + 9.53502i 0.512991 + 0.489136i
\(381\) 11.9259 + 16.7476i 0.610982 + 0.858004i
\(382\) 1.08633 + 0.434900i 0.0555814 + 0.0222514i
\(383\) 8.14729 23.5401i 0.416307 1.20284i −0.520764 0.853701i \(-0.674353\pi\)
0.937071 0.349140i \(-0.113526\pi\)
\(384\) 3.61355 + 7.91256i 0.184403 + 0.403786i
\(385\) 0.137764 + 14.1942i 0.00702110 + 0.723404i
\(386\) −0.442504 + 3.07768i −0.0225228 + 0.156650i
\(387\) −0.196802 + 4.13138i −0.0100040 + 0.210010i
\(388\) 0.535271 + 1.54657i 0.0271743 + 0.0785150i
\(389\) −14.3328 + 13.6663i −0.726704 + 0.692910i −0.960158 0.279457i \(-0.909845\pi\)
0.233455 + 0.972368i \(0.424997\pi\)
\(390\) −1.90400 3.29782i −0.0964127 0.166992i
\(391\) 11.4283 2.44379i 0.577952 0.123588i
\(392\) −3.63406 7.56535i −0.183548 0.382108i
\(393\) 4.25276 + 1.24872i 0.214523 + 0.0629897i
\(394\) −1.86305 0.359074i −0.0938593 0.0180899i
\(395\) −14.8773 + 7.66977i −0.748557 + 0.385908i
\(396\) 3.03697 + 2.38830i 0.152614 + 0.120017i
\(397\) 9.48334 + 4.88900i 0.475955 + 0.245372i 0.679475 0.733699i \(-0.262208\pi\)
−0.203519 + 0.979071i \(0.565238\pi\)
\(398\) 0.684866 + 1.49965i 0.0343292 + 0.0751705i
\(399\) −7.16423 + 1.10113i −0.358660 + 0.0551255i
\(400\) −0.981917 6.82938i −0.0490958 0.341469i
\(401\) −1.72311 + 0.164537i −0.0860479 + 0.00821658i −0.137991 0.990433i \(-0.544065\pi\)
0.0519433 + 0.998650i \(0.483459\pi\)
\(402\) −0.456347 + 1.88109i −0.0227605 + 0.0938202i
\(403\) −6.46051 + 26.6306i −0.321821 + 1.32656i
\(404\) −6.58185 + 0.628491i −0.327459 + 0.0312686i
\(405\) 0.376629 + 2.61951i 0.0187148 + 0.130165i
\(406\) −3.88098 4.83769i −0.192610 0.240091i
\(407\) 7.18338 + 15.7294i 0.356067 + 0.779678i
\(408\) −2.59693 1.33881i −0.128567 0.0662811i
\(409\) 5.60628 + 4.40883i 0.277213 + 0.218003i 0.747079 0.664735i \(-0.231456\pi\)
−0.469867 + 0.882737i \(0.655698\pi\)
\(410\) −3.09392 + 1.59503i −0.152798 + 0.0787727i
\(411\) 10.4232 + 2.00892i 0.514141 + 0.0990925i
\(412\) 27.9998 + 8.22148i 1.37945 + 0.405043i
\(413\) −0.324967 0.615604i −0.0159906 0.0302919i
\(414\) 0.710122 1.28963i 0.0349006 0.0633820i
\(415\) −6.10074 10.5668i −0.299473 0.518703i
\(416\) −11.7208 + 11.1758i −0.574660 + 0.547937i
\(417\) −6.48490 18.7369i −0.317567 0.917549i
\(418\) −0.0811261 + 1.70305i −0.00396801 + 0.0832987i
\(419\) −1.89816 + 13.2020i −0.0927311 + 0.644959i 0.889451 + 0.457030i \(0.151087\pi\)
−0.982183 + 0.187929i \(0.939822\pi\)
\(420\) 11.6203 + 6.55946i 0.567014 + 0.320069i
\(421\) 9.72691 + 21.2990i 0.474060 + 1.03805i 0.984054 + 0.177869i \(0.0569205\pi\)
−0.509994 + 0.860178i \(0.670352\pi\)
\(422\) −1.91141 + 5.52265i −0.0930459 + 0.268838i
\(423\) 5.95461 + 2.38386i 0.289523 + 0.115907i
\(424\) −9.34561 13.1241i −0.453863 0.637362i
\(425\) 3.53373 + 3.36940i 0.171411 + 0.163440i
\(426\) −2.73873 + 0.804163i −0.132692 + 0.0389618i
\(427\) −15.0472 + 29.8963i −0.728184 + 1.44678i
\(428\) 4.85133 + 33.7417i 0.234498 + 1.63097i
\(429\) −3.10801 + 8.98001i −0.150056 + 0.433559i
\(430\) 3.34494 + 0.319403i 0.161307 + 0.0154030i
\(431\) 1.19324 + 25.0493i 0.0574765 + 1.20658i 0.824839 + 0.565368i \(0.191266\pi\)
−0.767363 + 0.641213i \(0.778431\pi\)
\(432\) 3.19680 1.27981i 0.153806 0.0615747i
\(433\) −34.2162 21.9894i −1.64432 1.05674i −0.936688 0.350166i \(-0.886125\pi\)
−0.707636 0.706577i \(-0.750238\pi\)
\(434\) 1.38188 + 4.54269i 0.0663324 + 0.218056i
\(435\) 19.3902 + 5.69347i 0.929688 + 0.272981i
\(436\) 9.63024 + 16.6801i 0.461205 + 0.798830i
\(437\) −13.0513 + 1.51370i −0.624327 + 0.0724101i
\(438\) 1.18001 2.04384i 0.0563832 0.0976586i
\(439\) 3.42555 + 14.1203i 0.163492 + 0.673925i 0.993269 + 0.115829i \(0.0369526\pi\)
−0.829777 + 0.558096i \(0.811532\pi\)
\(440\) 4.21256 4.86155i 0.200826 0.231766i
\(441\) −6.44685 + 2.72728i −0.306993 + 0.129871i
\(442\) 0.499009 3.47069i 0.0237355 0.165084i
\(443\) 17.9523 + 9.25504i 0.852938 + 0.439720i 0.828505 0.559981i \(-0.189192\pi\)
0.0244327 + 0.999701i \(0.492222\pi\)
\(444\) 16.1817 + 1.54517i 0.767952 + 0.0733305i
\(445\) −13.9772 + 2.69388i −0.662581 + 0.127702i
\(446\) −0.549802 + 0.432369i −0.0260339 + 0.0204733i
\(447\) −0.813771 + 1.78191i −0.0384900 + 0.0842814i
\(448\) 4.19914 14.8320i 0.198391 0.700746i
\(449\) −6.87150 + 2.01765i −0.324286 + 0.0952190i −0.439824 0.898084i \(-0.644959\pi\)
0.115538 + 0.993303i \(0.463141\pi\)
\(450\) 0.612303 0.0584678i 0.0288642 0.00275620i
\(451\) 8.06410 + 3.22838i 0.379723 + 0.152018i
\(452\) −28.3573 + 5.46543i −1.33382 + 0.257072i
\(453\) 8.22916 11.5562i 0.386640 0.542960i
\(454\) −5.41468 + 3.47980i −0.254123 + 0.163315i
\(455\) −5.89815 + 32.2856i −0.276509 + 1.51357i
\(456\) 2.76332 + 1.77588i 0.129405 + 0.0831632i
\(457\) −27.1651 5.23565i −1.27073 0.244913i −0.491073 0.871119i \(-0.663395\pi\)
−0.779658 + 0.626205i \(0.784607\pi\)
\(458\) −0.925916 + 0.882859i −0.0432652 + 0.0412533i
\(459\) −1.21841 + 2.11036i −0.0568707 + 0.0985030i
\(460\) 20.6089 + 12.6619i 0.960894 + 0.590364i
\(461\) 25.4517 1.18540 0.592701 0.805423i \(-0.298062\pi\)
0.592701 + 0.805423i \(0.298062\pi\)
\(462\) 0.327290 + 1.61370i 0.0152269 + 0.0750762i
\(463\) −9.29228 + 10.7239i −0.431849 + 0.498380i −0.929410 0.369049i \(-0.879684\pi\)
0.497561 + 0.867429i \(0.334229\pi\)
\(464\) 1.25116 26.2652i 0.0580839 1.21933i
\(465\) −12.1615 9.56394i −0.563978 0.443517i
\(466\) 0.233805 + 4.90817i 0.0108308 + 0.227367i
\(467\) 1.82194 2.55856i 0.0843095 0.118396i −0.770267 0.637721i \(-0.779877\pi\)
0.854577 + 0.519325i \(0.173817\pi\)
\(468\) 5.84983 + 6.75106i 0.270408 + 0.312068i
\(469\) 13.4948 9.80838i 0.623133 0.452909i
\(470\) 2.16464 4.73991i 0.0998476 0.218636i
\(471\) −3.08222 2.93889i −0.142021 0.135417i
\(472\) −0.0743725 + 0.306568i −0.00342327 + 0.0141109i
\(473\) −4.86382 6.83029i −0.223639 0.314057i
\(474\) −1.52616 + 1.20018i −0.0700987 + 0.0551262i
\(475\) −3.59475 4.14856i −0.164938 0.190349i
\(476\) 4.67708 + 11.3619i 0.214374 + 0.520773i
\(477\) −11.3045 + 7.26493i −0.517596 + 0.332638i
\(478\) −2.17735 + 0.871681i −0.0995899 + 0.0398698i
\(479\) −18.9932 + 9.79166i −0.867821 + 0.447393i −0.833825 0.552029i \(-0.813854\pi\)
−0.0339959 + 0.999422i \(0.510823\pi\)
\(480\) −2.99058 8.64070i −0.136500 0.394392i
\(481\) 9.42585 + 38.8539i 0.429782 + 1.77158i
\(482\) −7.79063 −0.354854
\(483\) −11.8610 + 4.50748i −0.539693 + 0.205097i
\(484\) 13.1308 0.596853
\(485\) −0.535795 2.20858i −0.0243292 0.100286i
\(486\) 0.100403 + 0.290095i 0.00455437 + 0.0131590i
\(487\) 25.9863 13.3969i 1.17755 0.607070i 0.245500 0.969397i \(-0.421048\pi\)
0.932051 + 0.362327i \(0.118018\pi\)
\(488\) 14.0810 5.63720i 0.637419 0.255184i
\(489\) −8.73006 + 5.61047i −0.394787 + 0.253714i
\(490\) 1.96393 + 5.33694i 0.0887215 + 0.241098i
\(491\) 1.33646 + 1.54236i 0.0603138 + 0.0696059i 0.785105 0.619363i \(-0.212609\pi\)
−0.724791 + 0.688969i \(0.758064\pi\)
\(492\) 6.41855 5.04760i 0.289371 0.227564i
\(493\) 10.7938 + 15.1577i 0.486126 + 0.682669i
\(494\) −0.929377 + 3.83095i −0.0418147 + 0.172362i
\(495\) −3.88295 3.70239i −0.174526 0.166410i
\(496\) −8.36279 + 18.3120i −0.375500 + 0.822231i
\(497\) 22.4757 + 10.0018i 1.00817 + 0.448644i
\(498\) −0.926843 1.06963i −0.0415328 0.0479315i
\(499\) 15.0222 21.0957i 0.672484 0.944372i −0.327516 0.944846i \(-0.606211\pi\)
1.00000 0.000473698i \(0.000150783\pi\)
\(500\) −0.719055 15.0948i −0.0321571 0.675061i
\(501\) 6.99775 + 5.50309i 0.312637 + 0.245860i
\(502\) 0.340786 7.15397i 0.0152100 0.319297i
\(503\) −3.90255 + 4.50378i −0.174006 + 0.200814i −0.836053 0.548649i \(-0.815142\pi\)
0.662047 + 0.749462i \(0.269688\pi\)
\(504\) 3.00768 + 1.00839i 0.133973 + 0.0449172i
\(505\) 9.18149 0.408571
\(506\) 0.484536 + 2.94505i 0.0215403 + 0.130923i
\(507\) −4.48550 + 7.76912i −0.199208 + 0.345039i
\(508\) −28.3575 + 27.0388i −1.25816 + 1.19965i
\(509\) −15.6709 3.02031i −0.694599 0.133873i −0.170281 0.985396i \(-0.554468\pi\)
−0.524318 + 0.851523i \(0.675680\pi\)
\(510\) 1.66542 + 1.07030i 0.0737460 + 0.0473937i
\(511\) −19.1561 + 6.83890i −0.847418 + 0.302535i
\(512\) −16.9552 + 10.8964i −0.749320 + 0.481559i
\(513\) 1.58914 2.23163i 0.0701621 0.0985289i
\(514\) −6.71604 + 1.29441i −0.296232 + 0.0570940i
\(515\) −37.6207 15.0611i −1.65777 0.663670i
\(516\) −7.84668 + 0.749267i −0.345431 + 0.0329846i
\(517\) −12.4765 + 3.66344i −0.548718 + 0.161118i
\(518\) 4.82905 + 4.96713i 0.212176 + 0.218243i
\(519\) 1.38988 3.04340i 0.0610088 0.133591i
\(520\) 11.6911 9.19396i 0.512688 0.403182i
\(521\) 10.6530 2.05319i 0.466715 0.0899519i 0.0495281 0.998773i \(-0.484228\pi\)
0.417187 + 0.908821i \(0.363016\pi\)
\(522\) 2.33353 + 0.222826i 0.102136 + 0.00975281i
\(523\) 17.0360 + 8.78266i 0.744932 + 0.384039i 0.788519 0.615011i \(-0.210848\pi\)
−0.0435870 + 0.999050i \(0.513879\pi\)
\(524\) −1.20212 + 8.36094i −0.0525149 + 0.365249i
\(525\) −4.34791 3.03297i −0.189758 0.132370i
\(526\) 3.55914 4.10746i 0.155186 0.179094i
\(527\) −3.35866 13.8446i −0.146306 0.603080i
\(528\) −3.49048 + 6.04569i −0.151904 + 0.263105i
\(529\) −21.7877 + 7.36872i −0.947289 + 0.320379i
\(530\) 5.45839 + 9.45421i 0.237097 + 0.410664i
\(531\) 0.252448 + 0.0741254i 0.0109553 + 0.00321677i
\(532\) −4.02021 13.2157i −0.174298 0.572974i
\(533\) 16.8954 + 10.8580i 0.731820 + 0.470312i
\(534\) −1.53287 + 0.613667i −0.0663336 + 0.0265560i
\(535\) −2.25240 47.2838i −0.0973799 2.04426i
\(536\) −7.52597 0.718643i −0.325072 0.0310406i
\(537\) 3.05934 8.83937i 0.132020 0.381447i
\(538\) −0.0271644 0.188932i −0.00117114 0.00814545i
\(539\) 6.85570 12.4253i 0.295296 0.535196i
\(540\) −4.83921 + 1.42092i −0.208246 + 0.0611466i
\(541\) 26.8658 + 25.6164i 1.15505 + 1.10134i 0.993425 + 0.114485i \(0.0365217\pi\)
0.161624 + 0.986852i \(0.448327\pi\)
\(542\) −1.07640 1.51159i −0.0462352 0.0649282i
\(543\) −0.332547 0.133132i −0.0142710 0.00571323i
\(544\) 2.75370 7.95630i 0.118064 0.341123i
\(545\) −11.1107 24.3291i −0.475932 1.04215i
\(546\) 0.0369476 + 3.80682i 0.00158121 + 0.162917i
\(547\) 1.94901 13.5557i 0.0833337 0.579599i −0.904781 0.425878i \(-0.859965\pi\)
0.988114 0.153721i \(-0.0491256\pi\)
\(548\) −0.962574 + 20.2069i −0.0411191 + 0.863196i
\(549\) −4.13750 11.9545i −0.176584 0.510207i
\(550\) −0.902476 + 0.860510i −0.0384817 + 0.0366922i
\(551\) −10.4601 18.1175i −0.445617 0.771831i
\(552\) 5.38045 + 2.02850i 0.229007 + 0.0863386i
\(553\) 16.7215 + 0.633958i 0.711072 + 0.0269586i
\(554\) 6.98361 + 2.05057i 0.296705 + 0.0871205i
\(555\) −22.1651 4.27198i −0.940858 0.181335i
\(556\) 33.5858 17.3147i 1.42436 0.734306i
\(557\) 20.2231 + 15.9036i 0.856879 + 0.673857i 0.946706 0.322100i \(-0.104389\pi\)
−0.0898265 + 0.995957i \(0.528631\pi\)
\(558\) −1.59516 0.822360i −0.0675283 0.0348133i
\(559\) −8.05369 17.6351i −0.340635 0.745886i
\(560\) −8.74334 + 22.4694i −0.369474 + 0.949506i
\(561\) −0.703064 4.88992i −0.0296834 0.206453i
\(562\) 5.60535 0.535246i 0.236447 0.0225780i
\(563\) 8.10697 33.4174i 0.341668 1.40838i −0.498895 0.866662i \(-0.666261\pi\)
0.840563 0.541713i \(-0.182224\pi\)
\(564\) −2.88184 + 11.8791i −0.121347 + 0.500201i
\(565\) 39.9217 3.81206i 1.67952 0.160374i
\(566\) −0.954693 6.64004i −0.0401287 0.279102i
\(567\) 0.959442 2.46566i 0.0402928 0.103548i
\(568\) −4.63122 10.1410i −0.194322 0.425505i
\(569\) −19.9185 10.2687i −0.835027 0.430486i −0.0129865 0.999916i \(-0.504134\pi\)
−0.822040 + 0.569430i \(0.807164\pi\)
\(570\) −1.74950 1.37582i −0.0732785 0.0576269i
\(571\) 7.68873 3.96381i 0.321763 0.165880i −0.289776 0.957094i \(-0.593581\pi\)
0.611539 + 0.791214i \(0.290551\pi\)
\(572\) −17.7825 3.42730i −0.743525 0.143303i
\(573\) 3.65742 + 1.07391i 0.152791 + 0.0448634i
\(574\) 3.47746 + 0.131840i 0.145146 + 0.00550288i
\(575\) −7.67226 5.78581i −0.319955 0.241285i
\(576\) 2.91315 + 5.04573i 0.121381 + 0.210239i
\(577\) −13.7202 + 13.0822i −0.571179 + 0.544618i −0.919669 0.392694i \(-0.871543\pi\)
0.348490 + 0.937312i \(0.386695\pi\)
\(578\) −1.11064 3.20899i −0.0461967 0.133477i
\(579\) −0.481948 + 10.1173i −0.0200291 + 0.420462i
\(580\) −5.48100 + 38.1212i −0.227586 + 1.58289i
\(581\) 0.118386 + 12.1977i 0.00491149 + 0.506045i
\(582\) −0.109511 0.239796i −0.00453938 0.00993985i
\(583\) 8.91006 25.7439i 0.369017 1.06620i
\(584\) 8.55743 + 3.42588i 0.354109 + 0.141764i
\(585\) −7.19546 10.1046i −0.297496 0.417774i
\(586\) −1.96009 1.86894i −0.0809705 0.0772052i
\(587\) −9.99366 + 2.93440i −0.412482 + 0.121116i −0.481388 0.876507i \(-0.659867\pi\)
0.0689060 + 0.997623i \(0.478049\pi\)
\(588\) −6.89316 11.4214i −0.284269 0.471012i
\(589\) 2.27937 + 15.8533i 0.0939197 + 0.653226i
\(590\) 0.0699101 0.201992i 0.00287815 0.00831587i
\(591\) −6.15271 0.587512i −0.253089 0.0241670i
\(592\) 1.39754 + 29.3380i 0.0574386 + 1.20578i
\(593\) 3.29475 1.31902i 0.135299 0.0541656i −0.303025 0.952983i \(-0.597997\pi\)
0.438324 + 0.898817i \(0.355572\pi\)
\(594\) −0.523546 0.336463i −0.0214814 0.0138052i
\(595\) −4.96566 16.3237i −0.203572 0.669207i
\(596\) −3.58204 1.05178i −0.146726 0.0430827i
\(597\) 2.68525 + 4.65099i 0.109900 + 0.190352i
\(598\) −0.188606 + 6.89819i −0.00771268 + 0.282088i
\(599\) 17.2003 29.7918i 0.702786 1.21726i −0.264698 0.964331i \(-0.585272\pi\)
0.967485 0.252930i \(-0.0813943\pi\)
\(600\) 0.566385 + 2.33467i 0.0231226 + 0.0953125i
\(601\) 21.7251 25.0721i 0.886186 1.02271i −0.113388 0.993551i \(-0.536170\pi\)
0.999575 0.0291629i \(-0.00928415\pi\)
\(602\) −2.75516 1.92192i −0.112292 0.0783316i
\(603\) −0.897365 + 6.24131i −0.0365435 + 0.254166i
\(604\) 24.0312 + 12.3889i 0.977816 + 0.504099i
\(605\) −18.1515 1.73326i −0.737964 0.0704670i
\(606\) 1.04577 0.201557i 0.0424817 0.00818768i
\(607\) 22.2737 17.5162i 0.904062 0.710962i −0.0536898 0.998558i \(-0.517098\pi\)
0.957752 + 0.287595i \(0.0928558\pi\)
\(608\) −3.93212 + 8.61013i −0.159468 + 0.349187i
\(609\) −14.0832 14.4859i −0.570682 0.587000i
\(610\) −9.86084 + 2.89540i −0.399254 + 0.117231i
\(611\) −29.9286 + 2.85784i −1.21078 + 0.115616i
\(612\) −4.31136 1.72601i −0.174276 0.0697698i
\(613\) −32.3631 + 6.23749i −1.30714 + 0.251930i −0.794808 0.606861i \(-0.792429\pi\)
−0.512327 + 0.858790i \(0.671216\pi\)
\(614\) −3.23489 + 4.54276i −0.130549 + 0.183331i
\(615\) −9.53907 + 6.13039i −0.384652 + 0.247201i
\(616\) −6.05666 + 2.16228i −0.244030 + 0.0871207i
\(617\) 10.2497 + 6.58711i 0.412639 + 0.265187i 0.730449 0.682968i \(-0.239311\pi\)
−0.317810 + 0.948155i \(0.602947\pi\)
\(618\) −4.61565 0.889593i −0.185668 0.0357847i
\(619\) 15.2585 14.5490i 0.613291 0.584772i −0.318430 0.947946i \(-0.603156\pi\)
0.931721 + 0.363174i \(0.118307\pi\)
\(620\) 14.7427 25.5350i 0.592079 1.02551i
\(621\) 1.90345 4.40192i 0.0763829 0.176643i
\(622\) 7.84629 0.314608
\(623\) 13.4925 + 4.52366i 0.540566 + 0.181236i
\(624\) −10.5699 + 12.1983i −0.423133 + 0.488322i
\(625\) −1.47521 + 30.9686i −0.0590086 + 1.23874i
\(626\) 3.52280 + 2.77036i 0.140799 + 0.110726i
\(627\) 0.264273 + 5.54776i 0.0105540 + 0.221556i
\(628\) 4.70787 6.61128i 0.187864 0.263819i
\(629\) −13.6114 15.7083i −0.542720 0.626332i
\(630\) −1.96375 0.873883i −0.0782378 0.0348163i
\(631\) 8.88594 19.4575i 0.353744 0.774590i −0.646191 0.763175i \(-0.723639\pi\)
0.999935 0.0114149i \(-0.00363354\pi\)
\(632\) −5.48823 5.23302i −0.218310 0.208158i
\(633\) −4.48823 + 18.5007i −0.178391 + 0.735338i
\(634\) −0.458312 0.643609i −0.0182019 0.0255610i
\(635\) 42.7696 33.6344i 1.69726 1.33474i
\(636\) −16.7703 19.3540i −0.664986 0.767434i
\(637\) 21.0015 25.2095i 0.832108 0.998836i
\(638\) −3.99790 + 2.56929i −0.158278 + 0.101719i
\(639\) −8.63215 + 3.45579i −0.341482 + 0.136709i
\(640\) 20.4614 10.5486i 0.808809 0.416970i
\(641\) −2.01525 5.82268i −0.0795976 0.229982i 0.898180 0.439629i \(-0.144890\pi\)
−0.977777 + 0.209646i \(0.932769\pi\)
\(642\) −1.29455 5.33620i −0.0510917 0.210603i
\(643\) −28.8960 −1.13955 −0.569774 0.821802i \(-0.692969\pi\)
−0.569774 + 0.821802i \(0.692969\pi\)
\(644\) −11.7197 21.1516i −0.461820 0.833491i
\(645\) 10.9459 0.430994
\(646\) −0.483161 1.99162i −0.0190097 0.0783592i
\(647\) 13.6848 + 39.5396i 0.538004 + 1.55446i 0.806533 + 0.591189i \(0.201341\pi\)
−0.268529 + 0.963272i \(0.586538\pi\)
\(648\) −1.06570 + 0.549408i −0.0418647 + 0.0215828i
\(649\) −0.495188 + 0.198243i −0.0194378 + 0.00778173i
\(650\) −2.42543 + 1.55873i −0.0951333 + 0.0611384i
\(651\) 5.88781 + 14.3031i 0.230762 + 0.560584i
\(652\) −12.9511 14.9464i −0.507206 0.585347i
\(653\) 28.1090 22.1052i 1.09999 0.865042i 0.108355 0.994112i \(-0.465442\pi\)
0.991635 + 0.129070i \(0.0411992\pi\)
\(654\) −1.79960 2.52719i −0.0703701 0.0988210i
\(655\) 2.76542 11.3992i 0.108054 0.445403i
\(656\) 10.6780 + 10.1815i 0.416907 + 0.397520i
\(657\) 3.19368 6.99318i 0.124597 0.272830i
\(658\) −4.21395 + 3.06281i −0.164277 + 0.119401i
\(659\) 13.7473 + 15.8652i 0.535518 + 0.618020i 0.957447 0.288608i \(-0.0931925\pi\)
−0.421929 + 0.906629i \(0.638647\pi\)
\(660\) 5.93093 8.32882i 0.230861 0.324199i
\(661\) −2.23454 46.9089i −0.0869137 1.82454i −0.450269 0.892893i \(-0.648672\pi\)
0.363356 0.931651i \(-0.381631\pi\)
\(662\) 6.56014 + 5.15895i 0.254967 + 0.200508i
\(663\) 0.543491 11.4093i 0.0211074 0.443099i
\(664\) 3.62003 4.17774i 0.140484 0.162128i
\(665\) 3.81293 + 18.7996i 0.147859 + 0.729018i
\(666\) −2.61840 −0.101461
\(667\) −24.5382 27.1853i −0.950121 1.05262i
\(668\) −8.48293 + 14.6929i −0.328214 + 0.568484i
\(669\) −1.64902 + 1.57233i −0.0637547 + 0.0607900i
\(670\) 5.03003 + 0.969459i 0.194327 + 0.0374535i
\(671\) 21.5748 + 13.8653i 0.832886 + 0.535263i
\(672\) −1.64279 + 8.99236i −0.0633718 + 0.346888i
\(673\) −30.8487 + 19.8252i −1.18913 + 0.764206i −0.977042 0.213045i \(-0.931662\pi\)
−0.212086 + 0.977251i \(0.568026\pi\)
\(674\) −2.92758 + 4.11121i −0.112766 + 0.158358i
\(675\) 1.96747 0.379199i 0.0757281 0.0145954i
\(676\) −15.8720 6.35417i −0.610460 0.244391i
\(677\) 24.9118 2.37879i 0.957438 0.0914242i 0.395376 0.918519i \(-0.370614\pi\)
0.562062 + 0.827095i \(0.310008\pi\)
\(678\) 4.46341 1.31057i 0.171416 0.0503323i
\(679\) −0.618920 + 2.18612i −0.0237520 + 0.0838954i
\(680\) −3.21207 + 7.03345i −0.123177 + 0.269721i
\(681\) −16.4812 + 12.9610i −0.631562 + 0.496665i
\(682\) 3.57258 0.688557i 0.136801 0.0263662i
\(683\) −34.6346 3.30720i −1.32525 0.126546i −0.591690 0.806166i \(-0.701539\pi\)
−0.733565 + 0.679619i \(0.762145\pi\)
\(684\) 4.64067 + 2.39243i 0.177441 + 0.0914770i
\(685\) 3.99794 27.8063i 0.152753 1.06242i
\(686\) 0.912980 5.61154i 0.0348577 0.214250i
\(687\) −2.72918 + 3.14965i −0.104125 + 0.120167i
\(688\) −3.35777 13.8409i −0.128014 0.527681i
\(689\) 31.4933 54.5479i 1.19980 2.07811i
\(690\) −3.49850 1.71478i −0.133186 0.0652805i
\(691\) 6.67030 + 11.5533i 0.253750 + 0.439508i 0.964555 0.263881i \(-0.0850025\pi\)
−0.710805 + 0.703389i \(0.751669\pi\)
\(692\) 6.11793 + 1.79639i 0.232569 + 0.0682884i
\(693\) 1.56102 + 5.13157i 0.0592982 + 0.194932i
\(694\) −7.37236 4.73793i −0.279851 0.179849i
\(695\) −48.7134 + 19.5019i −1.84781 + 0.739750i
\(696\) 0.435645 + 9.14532i 0.0165131 + 0.346653i
\(697\) −10.3937 0.992478i −0.393689 0.0375928i
\(698\) −0.628230 + 1.81515i −0.0237789 + 0.0687045i
\(699\) 2.27800 + 15.8438i 0.0861618 + 0.599269i
\(700\) 4.54206 9.02434i 0.171674 0.341088i
\(701\) −16.2948 + 4.78458i −0.615446 + 0.180711i −0.574573 0.818453i \(-0.694832\pi\)
−0.0408725 + 0.999164i \(0.513014\pi\)
\(702\) −1.04139 0.992961i −0.0393046 0.0374769i
\(703\) 13.5547 + 19.0348i 0.511223 + 0.717913i
\(704\) −10.9656 4.38997i −0.413282 0.165453i
\(705\) 5.55180 16.0409i 0.209093 0.604135i
\(706\) 3.81770 + 8.35961i 0.143681 + 0.314618i
\(707\) −7.99348 4.51217i −0.300626 0.169698i
\(708\) −0.0713591 + 0.496313i −0.00268184 + 0.0186526i
\(709\) 0.237908 4.99430i 0.00893482 0.187565i −0.989988 0.141154i \(-0.954919\pi\)
0.998922 0.0464108i \(-0.0147783\pi\)
\(710\) 2.47063 + 7.13843i 0.0927212 + 0.267900i
\(711\) −4.57739 + 4.36453i −0.171665 + 0.163683i
\(712\) −3.22448 5.58497i −0.120843 0.209306i
\(713\) 9.70514 + 26.3041i 0.363460 + 0.985095i
\(714\) −0.923937 1.75027i −0.0345775 0.0655022i
\(715\) 24.1296 + 7.08508i 0.902395 + 0.264967i
\(716\) 17.5040 + 3.37363i 0.654156 + 0.126078i
\(717\) −6.79081 + 3.50091i −0.253608 + 0.130744i
\(718\) −7.61669 5.98983i −0.284252 0.223539i
\(719\) −9.77427 5.03899i −0.364519 0.187922i 0.266230 0.963909i \(-0.414222\pi\)
−0.630749 + 0.775987i \(0.717252\pi\)
\(720\) −3.78565 8.28943i −0.141083 0.308929i
\(721\) 25.3513 + 31.6007i 0.944131 + 1.17687i
\(722\) −0.502166 3.49264i −0.0186887 0.129983i
\(723\) −25.2635 + 2.41237i −0.939559 + 0.0897170i
\(724\) 0.160942 0.663413i 0.00598137 0.0246556i
\(725\) 3.60723 14.8692i 0.133969 0.552228i
\(726\) −2.10551 + 0.201052i −0.0781430 + 0.00746175i
\(727\) 1.00020 + 6.95654i 0.0370953 + 0.258004i 0.999927 0.0120991i \(-0.00385137\pi\)
−0.962831 + 0.270103i \(0.912942\pi\)
\(728\) −14.6967 + 2.25885i −0.544694 + 0.0837186i
\(729\) 0.415415 + 0.909632i 0.0153857 + 0.0336901i
\(730\) −5.55139 2.86194i −0.205466 0.105925i
\(731\) 7.92254 + 6.23036i 0.293026 + 0.230438i
\(732\) 21.4285 11.0471i 0.792018 0.408314i
\(733\) 3.74821 + 0.722408i 0.138443 + 0.0266828i 0.258002 0.966144i \(-0.416936\pi\)
−0.119559 + 0.992827i \(0.538148\pi\)
\(734\) 1.55809 + 0.457496i 0.0575101 + 0.0168865i
\(735\) 8.02124 + 16.6985i 0.295868 + 0.615934i
\(736\) −3.57937 + 16.1786i −0.131937 + 0.596351i
\(737\) −6.39158 11.0705i −0.235437 0.407789i
\(738\) −0.951926 + 0.907660i −0.0350409 + 0.0334114i
\(739\) −6.47544 18.7096i −0.238203 0.688242i −0.999219 0.0395093i \(-0.987421\pi\)
0.761016 0.648733i \(-0.224701\pi\)
\(740\) 2.04692 42.9702i 0.0752464 1.57962i
\(741\) −1.82754 + 12.7108i −0.0671362 + 0.466942i
\(742\) −0.105921 10.9134i −0.00388850 0.400643i
\(743\) 0.899957 + 1.97063i 0.0330162 + 0.0722954i 0.925422 0.378939i \(-0.123711\pi\)
−0.892405 + 0.451235i \(0.850984\pi\)
\(744\) 2.29259 6.62399i 0.0840503 0.242847i
\(745\) 4.81286 + 1.92678i 0.176330 + 0.0705917i
\(746\) 0.837250 + 1.17575i 0.0306539 + 0.0430474i
\(747\) −3.33678 3.18162i −0.122087 0.116409i
\(748\) 9.03349 2.65247i 0.330297 0.0969840i
\(749\) −21.2763 + 42.2726i −0.777419 + 1.54461i
\(750\) 0.346425 + 2.40944i 0.0126497 + 0.0879804i
\(751\) −0.944812 + 2.72985i −0.0344767 + 0.0996138i −0.960926 0.276806i \(-0.910724\pi\)
0.926449 + 0.376420i \(0.122845\pi\)
\(752\) −21.9866 2.09946i −0.801768 0.0765595i
\(753\) −1.11013 23.3044i −0.0404553 0.849261i
\(754\) −10.2007 + 4.08375i −0.371488 + 0.148721i
\(755\) −31.5846 20.2982i −1.14948 0.738726i
\(756\) 4.91135 + 1.14113i 0.178624 + 0.0415024i
\(757\) −24.1513 7.09145i −0.877793 0.257743i −0.188366 0.982099i \(-0.560319\pi\)
−0.689427 + 0.724356i \(0.742137\pi\)
\(758\) 1.06283 + 1.84088i 0.0386038 + 0.0668638i
\(759\) 2.48319 + 9.40017i 0.0901341 + 0.341205i
\(760\) 4.34649 7.52833i 0.157664 0.273081i
\(761\) −11.1021 45.7635i −0.402451 1.65893i −0.707594 0.706619i \(-0.750220\pi\)
0.305143 0.952306i \(-0.401296\pi\)
\(762\) 4.13311 4.76987i 0.149727 0.172794i
\(763\) −2.28326 + 26.6414i −0.0826596 + 0.964485i
\(764\) −1.03384 + 7.19049i −0.0374029 + 0.260143i
\(765\) 5.73205 + 2.95508i 0.207243 + 0.106841i
\(766\) −7.61224 0.726881i −0.275042 0.0262633i
\(767\) −1.21097 + 0.233396i −0.0437258 + 0.00842745i
\(768\) −7.06057 + 5.55249i −0.254776 + 0.200358i
\(769\) 6.86003 15.0214i 0.247379 0.541684i −0.744685 0.667416i \(-0.767400\pi\)
0.992064 + 0.125731i \(0.0401278\pi\)
\(770\) 4.22453 1.06838i 0.152241 0.0385016i
\(771\) −21.3780 + 6.27714i −0.769909 + 0.226066i
\(772\) −19.2157 + 1.83488i −0.691589 + 0.0660387i<