Properties

Label 637.2.bl.b.235.27
Level $637$
Weight $2$
Character 637.235
Analytic conductor $5.086$
Analytic rank $0$
Dimension $348$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(348\)
Relative dimension: \(29\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 235.27
Character \(\chi\) \(=\) 637.235
Dual form 637.2.bl.b.534.27

$q$-expansion

\(f(q)\) \(=\) \(q+(2.41822 + 0.364487i) q^{2} +(1.41124 - 0.962165i) q^{3} +(3.80377 + 1.17331i) q^{4} +(-0.219614 - 2.93055i) q^{5} +(3.76337 - 1.81234i) q^{6} +(-2.56447 + 0.650781i) q^{7} +(4.36399 + 2.10158i) q^{8} +(-0.0301950 + 0.0769357i) q^{9} +O(q^{10})\) \(q+(2.41822 + 0.364487i) q^{2} +(1.41124 - 0.962165i) q^{3} +(3.80377 + 1.17331i) q^{4} +(-0.219614 - 2.93055i) q^{5} +(3.76337 - 1.81234i) q^{6} +(-2.56447 + 0.650781i) q^{7} +(4.36399 + 2.10158i) q^{8} +(-0.0301950 + 0.0769357i) q^{9} +(0.537073 - 7.16674i) q^{10} +(-0.641373 - 1.63419i) q^{11} +(6.49694 - 2.00404i) q^{12} +(0.623490 - 0.781831i) q^{13} +(-6.43863 + 0.639014i) q^{14} +(-3.12960 - 3.92439i) q^{15} +(3.20918 + 2.18798i) q^{16} +(5.43304 + 5.04112i) q^{17} +(-0.101060 + 0.175041i) q^{18} +(1.40231 + 2.42887i) q^{19} +(2.60307 - 11.4048i) q^{20} +(-2.99291 + 3.38585i) q^{21} +(-0.955335 - 4.18560i) q^{22} +(-1.33729 + 1.24082i) q^{23} +(8.18069 - 1.23304i) q^{24} +(-3.59571 + 0.541966i) q^{25} +(1.79270 - 1.66338i) q^{26} +(1.17163 + 5.13323i) q^{27} +(-10.5182 - 0.533485i) q^{28} +(-1.47410 + 6.45847i) q^{29} +(-6.13765 - 10.6307i) q^{30} +(2.21921 - 3.84378i) q^{31} +(-0.138318 - 0.128340i) q^{32} +(-2.47749 - 1.68912i) q^{33} +(11.3008 + 14.1708i) q^{34} +(2.47034 + 7.37236i) q^{35} +(-0.205124 + 0.257217i) q^{36} +(-7.47408 + 2.30545i) q^{37} +(2.50579 + 6.38465i) q^{38} +(0.127641 - 1.70325i) q^{39} +(5.20040 - 13.2504i) q^{40} +(-6.02133 - 2.89972i) q^{41} +(-8.47160 + 7.09683i) q^{42} +(1.01554 - 0.489056i) q^{43} +(-0.522225 - 6.96861i) q^{44} +(0.232095 + 0.0715917i) q^{45} +(-3.68612 + 2.51316i) q^{46} +(2.71295 + 0.408911i) q^{47} +6.63410 q^{48} +(6.15297 - 3.33781i) q^{49} -8.89275 q^{50} +(12.5177 + 1.88674i) q^{51} +(3.28894 - 2.24236i) q^{52} +(-11.8258 - 3.64778i) q^{53} +(0.962248 + 12.8403i) q^{54} +(-4.64822 + 2.23846i) q^{55} +(-12.5590 - 2.54944i) q^{56} +(4.31596 + 2.07846i) q^{57} +(-5.91873 + 15.0807i) q^{58} +(0.733074 - 9.78219i) q^{59} +(-7.29975 - 18.5994i) q^{60} +(-5.94217 + 1.83292i) q^{61} +(6.76753 - 8.48622i) q^{62} +(0.0273658 - 0.216949i) q^{63} +(-5.13107 - 6.43416i) q^{64} +(-2.42812 - 1.65546i) q^{65} +(-5.37544 - 4.98768i) q^{66} +(3.92435 - 6.79718i) q^{67} +(14.7512 + 25.5499i) q^{68} +(-0.693356 + 3.03779i) q^{69} +(3.28667 + 18.7284i) q^{70} +(1.18440 + 5.18919i) q^{71} +(-0.293457 + 0.272289i) q^{72} +(4.49145 - 0.676977i) q^{73} +(-18.9143 + 2.85087i) q^{74} +(-4.55294 + 4.22451i) q^{75} +(2.48425 + 10.8842i) q^{76} +(2.70828 + 3.77343i) q^{77} +(0.929476 - 4.07230i) q^{78} +(6.91634 + 11.9794i) q^{79} +(5.70719 - 9.88515i) q^{80} +(6.41070 + 5.94826i) q^{81} +(-13.5040 - 9.20685i) q^{82} +(5.08017 + 6.37033i) q^{83} +(-15.3570 + 9.36737i) q^{84} +(13.5801 - 17.0289i) q^{85} +(2.63404 - 0.812493i) q^{86} +(4.13381 + 10.5328i) q^{87} +(0.635449 - 8.47948i) q^{88} +(3.45743 - 8.80939i) q^{89} +(0.535161 + 0.257720i) q^{90} +(-1.09012 + 2.41074i) q^{91} +(-6.54262 + 3.15076i) q^{92} +(-0.566524 - 7.55973i) q^{93} +(6.41145 + 1.97767i) q^{94} +(6.80994 - 4.64294i) q^{95} +(-0.318684 - 0.0480339i) q^{96} +1.33540 q^{97} +(16.0958 - 5.82887i) q^{98} +0.145094 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} + O(q^{10}) \) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} - 5q^{10} + 2q^{11} - 40q^{12} - 58q^{13} - 45q^{14} - 14q^{15} + 27q^{16} - 12q^{17} - 59q^{18} - 24q^{19} - 99q^{20} - 2q^{21} - 10q^{22} - 14q^{23} + 28q^{25} + 3q^{26} - 9q^{27} - 37q^{28} - 26q^{29} - 83q^{30} - 49q^{31} + 33q^{32} + 2q^{33} - 130q^{34} - 38q^{35} - 74q^{36} - 4q^{37} + 92q^{38} + 24q^{40} + 20q^{41} - 52q^{42} + 2q^{43} + 226q^{44} - 23q^{45} + 71q^{46} + 24q^{47} + 86q^{48} + 25q^{49} + 114q^{50} - 54q^{51} + 31q^{52} + 36q^{53} + 75q^{54} + 38q^{55} + 126q^{56} + 27q^{57} - 33q^{58} + q^{59} - 179q^{60} - 15q^{61} + 158q^{62} - 5q^{63} - 24q^{64} + q^{65} - 150q^{66} - 151q^{67} + 140q^{68} - 98q^{69} - 126q^{70} - 31q^{71} - 149q^{72} - 9q^{73} + 39q^{74} + 85q^{75} - 81q^{76} + 46q^{77} - 25q^{78} - 69q^{79} - 64q^{80} + 71q^{81} - 52q^{82} - q^{83} - 47q^{84} + 62q^{85} + 97q^{86} + 150q^{87} - 12q^{88} + 23q^{89} + 107q^{90} - q^{91} - 43q^{92} + 316q^{93} - 86q^{94} - 29q^{95} + 177q^{96} + 114q^{97} - 336q^{98} + 102q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{17}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.41822 + 0.364487i 1.70994 + 0.257731i 0.929850 0.367940i \(-0.119937\pi\)
0.780087 + 0.625671i \(0.215175\pi\)
\(3\) 1.41124 0.962165i 0.814778 0.555506i −0.0826954 0.996575i \(-0.526353\pi\)
0.897473 + 0.441069i \(0.145400\pi\)
\(4\) 3.80377 + 1.17331i 1.90188 + 0.586654i
\(5\) −0.219614 2.93055i −0.0982144 1.31058i −0.800779 0.598960i \(-0.795581\pi\)
0.702565 0.711620i \(-0.252038\pi\)
\(6\) 3.76337 1.81234i 1.53639 0.739886i
\(7\) −2.56447 + 0.650781i −0.969277 + 0.245972i
\(8\) 4.36399 + 2.10158i 1.54290 + 0.743022i
\(9\) −0.0301950 + 0.0769357i −0.0100650 + 0.0256452i
\(10\) 0.537073 7.16674i 0.169837 2.26632i
\(11\) −0.641373 1.63419i −0.193381 0.492727i 0.800990 0.598677i \(-0.204307\pi\)
−0.994371 + 0.105950i \(0.966212\pi\)
\(12\) 6.49694 2.00404i 1.87550 0.578516i
\(13\) 0.623490 0.781831i 0.172925 0.216841i
\(14\) −6.43863 + 0.639014i −1.72080 + 0.170784i
\(15\) −3.12960 3.92439i −0.808058 1.01327i
\(16\) 3.20918 + 2.18798i 0.802294 + 0.546995i
\(17\) 5.43304 + 5.04112i 1.31770 + 1.22265i 0.957040 + 0.289956i \(0.0936406\pi\)
0.360665 + 0.932696i \(0.382550\pi\)
\(18\) −0.101060 + 0.175041i −0.0238201 + 0.0412576i
\(19\) 1.40231 + 2.42887i 0.321711 + 0.557220i 0.980841 0.194809i \(-0.0624086\pi\)
−0.659130 + 0.752029i \(0.729075\pi\)
\(20\) 2.60307 11.4048i 0.582064 2.55019i
\(21\) −2.99291 + 3.38585i −0.653106 + 0.738852i
\(22\) −0.955335 4.18560i −0.203678 0.892372i
\(23\) −1.33729 + 1.24082i −0.278844 + 0.258730i −0.807179 0.590306i \(-0.799007\pi\)
0.528335 + 0.849036i \(0.322817\pi\)
\(24\) 8.18069 1.23304i 1.66988 0.251693i
\(25\) −3.59571 + 0.541966i −0.719142 + 0.108393i
\(26\) 1.79270 1.66338i 0.351577 0.326216i
\(27\) 1.17163 + 5.13323i 0.225480 + 0.987891i
\(28\) −10.5182 0.533485i −1.98775 0.100819i
\(29\) −1.47410 + 6.45847i −0.273734 + 1.19931i 0.631833 + 0.775105i \(0.282303\pi\)
−0.905567 + 0.424203i \(0.860554\pi\)
\(30\) −6.13765 10.6307i −1.12058 1.94089i
\(31\) 2.21921 3.84378i 0.398582 0.690364i −0.594970 0.803748i \(-0.702836\pi\)
0.993551 + 0.113385i \(0.0361692\pi\)
\(32\) −0.138318 0.128340i −0.0244514 0.0226876i
\(33\) −2.47749 1.68912i −0.431276 0.294039i
\(34\) 11.3008 + 14.1708i 1.93808 + 2.43027i
\(35\) 2.47034 + 7.37236i 0.417563 + 1.24616i
\(36\) −0.205124 + 0.257217i −0.0341873 + 0.0428696i
\(37\) −7.47408 + 2.30545i −1.22873 + 0.379014i −0.840126 0.542391i \(-0.817519\pi\)
−0.388606 + 0.921404i \(0.627043\pi\)
\(38\) 2.50579 + 6.38465i 0.406493 + 1.03573i
\(39\) 0.127641 1.70325i 0.0204389 0.272738i
\(40\) 5.20040 13.2504i 0.822255 2.09507i
\(41\) −6.02133 2.89972i −0.940374 0.452860i −0.100073 0.994980i \(-0.531908\pi\)
−0.840301 + 0.542120i \(0.817622\pi\)
\(42\) −8.47160 + 7.09683i −1.30720 + 1.09506i
\(43\) 1.01554 0.489056i 0.154868 0.0745803i −0.354844 0.934925i \(-0.615466\pi\)
0.509712 + 0.860345i \(0.329752\pi\)
\(44\) −0.522225 6.96861i −0.0787284 1.05056i
\(45\) 0.232095 + 0.0715917i 0.0345986 + 0.0106723i
\(46\) −3.68612 + 2.51316i −0.543489 + 0.370545i
\(47\) 2.71295 + 0.408911i 0.395724 + 0.0596458i 0.343890 0.939010i \(-0.388255\pi\)
0.0518340 + 0.998656i \(0.483493\pi\)
\(48\) 6.63410 0.957550
\(49\) 6.15297 3.33781i 0.878995 0.476830i
\(50\) −8.89275 −1.25762
\(51\) 12.5177 + 1.88674i 1.75283 + 0.264196i
\(52\) 3.28894 2.24236i 0.456094 0.310960i
\(53\) −11.8258 3.64778i −1.62440 0.501061i −0.656908 0.753970i \(-0.728136\pi\)
−0.967490 + 0.252910i \(0.918612\pi\)
\(54\) 0.962248 + 12.8403i 0.130945 + 1.74734i
\(55\) −4.64822 + 2.23846i −0.626765 + 0.301834i
\(56\) −12.5590 2.54944i −1.67826 0.340684i
\(57\) 4.31596 + 2.07846i 0.571663 + 0.275298i
\(58\) −5.91873 + 15.0807i −0.777168 + 1.98019i
\(59\) 0.733074 9.78219i 0.0954380 1.27353i −0.719708 0.694277i \(-0.755724\pi\)
0.815146 0.579255i \(-0.196657\pi\)
\(60\) −7.29975 18.5994i −0.942393 2.40118i
\(61\) −5.94217 + 1.83292i −0.760816 + 0.234681i −0.650800 0.759249i \(-0.725566\pi\)
−0.110016 + 0.993930i \(0.535090\pi\)
\(62\) 6.76753 8.48622i 0.859478 1.07775i
\(63\) 0.0273658 0.216949i 0.00344777 0.0273330i
\(64\) −5.13107 6.43416i −0.641384 0.804270i
\(65\) −2.42812 1.65546i −0.301171 0.205335i
\(66\) −5.37544 4.98768i −0.661671 0.613941i
\(67\) 3.92435 6.79718i 0.479436 0.830408i −0.520286 0.853992i \(-0.674175\pi\)
0.999722 + 0.0235845i \(0.00750787\pi\)
\(68\) 14.7512 + 25.5499i 1.78885 + 3.09838i
\(69\) −0.693356 + 3.03779i −0.0834703 + 0.365707i
\(70\) 3.28667 + 18.7284i 0.392833 + 2.23847i
\(71\) 1.18440 + 5.18919i 0.140562 + 0.615844i 0.995305 + 0.0967912i \(0.0308579\pi\)
−0.854742 + 0.519052i \(0.826285\pi\)
\(72\) −0.293457 + 0.272289i −0.0345843 + 0.0320895i
\(73\) 4.49145 0.676977i 0.525684 0.0792342i 0.119162 0.992875i \(-0.461979\pi\)
0.406523 + 0.913641i \(0.366741\pi\)
\(74\) −18.9143 + 2.85087i −2.19874 + 0.331406i
\(75\) −4.55294 + 4.22451i −0.525728 + 0.487805i
\(76\) 2.48425 + 10.8842i 0.284962 + 1.24850i
\(77\) 2.70828 + 3.77343i 0.308637 + 0.430023i
\(78\) 0.929476 4.07230i 0.105242 0.461097i
\(79\) 6.91634 + 11.9794i 0.778149 + 1.34779i 0.933008 + 0.359857i \(0.117174\pi\)
−0.154859 + 0.987937i \(0.549492\pi\)
\(80\) 5.70719 9.88515i 0.638083 1.10519i
\(81\) 6.41070 + 5.94826i 0.712300 + 0.660918i
\(82\) −13.5040 9.20685i −1.49126 1.01673i
\(83\) 5.08017 + 6.37033i 0.557621 + 0.699234i 0.978116 0.208060i \(-0.0667151\pi\)
−0.420495 + 0.907295i \(0.638144\pi\)
\(84\) −15.3570 + 9.36737i −1.67558 + 1.02206i
\(85\) 13.5801 17.0289i 1.47296 1.84704i
\(86\) 2.63404 0.812493i 0.284036 0.0876134i
\(87\) 4.13381 + 10.5328i 0.443191 + 1.12923i
\(88\) 0.635449 8.47948i 0.0677391 0.903916i
\(89\) 3.45743 8.80939i 0.366487 0.933793i −0.622072 0.782960i \(-0.713709\pi\)
0.988559 0.150833i \(-0.0481957\pi\)
\(90\) 0.535161 + 0.257720i 0.0564109 + 0.0271661i
\(91\) −1.09012 + 2.41074i −0.114275 + 0.252714i
\(92\) −6.54262 + 3.15076i −0.682115 + 0.328489i
\(93\) −0.566524 7.55973i −0.0587458 0.783908i
\(94\) 6.41145 + 1.97767i 0.661291 + 0.203981i
\(95\) 6.80994 4.64294i 0.698685 0.476355i
\(96\) −0.318684 0.0480339i −0.0325256 0.00490244i
\(97\) 1.33540 0.135589 0.0677945 0.997699i \(-0.478404\pi\)
0.0677945 + 0.997699i \(0.478404\pi\)
\(98\) 16.0958 5.82887i 1.62592 0.588805i
\(99\) 0.145094 0.0145825
\(100\) −14.3132 2.15736i −1.43132 0.215736i
\(101\) −12.6830 + 8.64711i −1.26200 + 0.860419i −0.994662 0.103182i \(-0.967097\pi\)
−0.267341 + 0.963602i \(0.586145\pi\)
\(102\) 29.5828 + 9.12508i 2.92913 + 0.903517i
\(103\) −1.33998 17.8808i −0.132033 1.76185i −0.533333 0.845906i \(-0.679061\pi\)
0.401300 0.915947i \(-0.368558\pi\)
\(104\) 4.36399 2.10158i 0.427924 0.206077i
\(105\) 10.5797 + 8.02728i 1.03247 + 0.783382i
\(106\) −27.2678 13.1315i −2.64848 1.27544i
\(107\) 1.50828 3.84303i 0.145811 0.371519i −0.839246 0.543752i \(-0.817003\pi\)
0.985056 + 0.172233i \(0.0550983\pi\)
\(108\) −1.56626 + 20.9003i −0.150714 + 2.01113i
\(109\) 3.21023 + 8.17953i 0.307484 + 0.783457i 0.998180 + 0.0603112i \(0.0192093\pi\)
−0.690695 + 0.723146i \(0.742695\pi\)
\(110\) −12.0563 + 3.71887i −1.14952 + 0.354580i
\(111\) −8.32948 + 10.4448i −0.790599 + 0.991380i
\(112\) −9.65372 3.52253i −0.912190 0.332847i
\(113\) −6.85613 8.59731i −0.644970 0.808767i 0.346644 0.937997i \(-0.387321\pi\)
−0.991615 + 0.129229i \(0.958750\pi\)
\(114\) 9.67935 + 6.59927i 0.906554 + 0.618078i
\(115\) 3.92998 + 3.64649i 0.366473 + 0.340037i
\(116\) −13.1849 + 22.8370i −1.22419 + 2.12036i
\(117\) 0.0413244 + 0.0715760i 0.00382044 + 0.00661720i
\(118\) 5.33821 23.3882i 0.491422 2.15306i
\(119\) −17.2135 9.39206i −1.57796 0.860969i
\(120\) −5.41007 23.7031i −0.493870 2.16379i
\(121\) 5.80435 5.38565i 0.527668 0.489604i
\(122\) −15.0375 + 2.26654i −1.36143 + 0.205203i
\(123\) −11.2875 + 1.70132i −1.01776 + 0.153403i
\(124\) 12.9513 12.0170i 1.16306 1.07916i
\(125\) −0.891755 3.90704i −0.0797610 0.349456i
\(126\) 0.145252 0.514655i 0.0129400 0.0458491i
\(127\) −1.20703 + 5.28833i −0.107106 + 0.469263i 0.892720 + 0.450612i \(0.148794\pi\)
−0.999826 + 0.0186510i \(0.994063\pi\)
\(128\) −9.87418 17.1026i −0.872762 1.51167i
\(129\) 0.962608 1.66729i 0.0847529 0.146796i
\(130\) −5.26832 4.88829i −0.462062 0.428731i
\(131\) −13.8268 9.42697i −1.20806 0.823639i −0.219666 0.975575i \(-0.570497\pi\)
−0.988390 + 0.151937i \(0.951449\pi\)
\(132\) −7.44194 9.33190i −0.647738 0.812237i
\(133\) −5.17683 5.31615i −0.448888 0.460969i
\(134\) 11.9674 15.0067i 1.03383 1.29638i
\(135\) 14.7859 4.56084i 1.27256 0.392534i
\(136\) 13.1153 + 33.4174i 1.12463 + 2.86551i
\(137\) 0.609782 8.13697i 0.0520972 0.695188i −0.908614 0.417637i \(-0.862858\pi\)
0.960711 0.277551i \(-0.0895227\pi\)
\(138\) −2.78392 + 7.09332i −0.236983 + 0.603823i
\(139\) 10.7468 + 5.17537i 0.911529 + 0.438969i 0.830039 0.557705i \(-0.188318\pi\)
0.0814895 + 0.996674i \(0.474032\pi\)
\(140\) 0.746542 + 30.9412i 0.0630943 + 2.61501i
\(141\) 4.22205 2.03323i 0.355561 0.171229i
\(142\) 0.972737 + 12.9803i 0.0816303 + 1.08928i
\(143\) −1.67755 0.517456i −0.140284 0.0432718i
\(144\) −0.265235 + 0.180834i −0.0221029 + 0.0150695i
\(145\) 19.2506 + 2.90156i 1.59867 + 0.240961i
\(146\) 11.1080 0.919308
\(147\) 5.47177 10.6306i 0.451304 0.876798i
\(148\) −31.1347 −2.55926
\(149\) −5.12559 0.772558i −0.419905 0.0632904i −0.0643083 0.997930i \(-0.520484\pi\)
−0.355596 + 0.934640i \(0.615722\pi\)
\(150\) −12.5498 + 8.55629i −1.02468 + 0.698618i
\(151\) −2.05628 0.634277i −0.167337 0.0516167i 0.209954 0.977711i \(-0.432668\pi\)
−0.377292 + 0.926094i \(0.623145\pi\)
\(152\) 1.01518 + 13.5466i 0.0823418 + 1.09878i
\(153\) −0.551893 + 0.265777i −0.0446179 + 0.0214868i
\(154\) 5.17383 + 10.1121i 0.416919 + 0.814857i
\(155\) −11.7517 5.65934i −0.943923 0.454569i
\(156\) 2.48395 6.32901i 0.198875 0.506726i
\(157\) 0.888538 11.8567i 0.0709131 0.946269i −0.842358 0.538918i \(-0.818833\pi\)
0.913271 0.407351i \(-0.133548\pi\)
\(158\) 12.3588 + 31.4898i 0.983216 + 2.50519i
\(159\) −20.1988 + 6.23049i −1.60187 + 0.494110i
\(160\) −0.345731 + 0.433533i −0.0273324 + 0.0342738i
\(161\) 2.62193 4.05234i 0.206637 0.319369i
\(162\) 13.3344 + 16.7208i 1.04765 + 1.31371i
\(163\) 7.53131 + 5.13476i 0.589897 + 0.402185i 0.821153 0.570708i \(-0.193331\pi\)
−0.231256 + 0.972893i \(0.574283\pi\)
\(164\) −19.5015 18.0947i −1.52281 1.41296i
\(165\) −4.40596 + 7.63135i −0.343004 + 0.594100i
\(166\) 9.96304 + 17.2565i 0.773282 + 1.33936i
\(167\) −4.00289 + 17.5378i −0.309753 + 1.35712i 0.545155 + 0.838335i \(0.316471\pi\)
−0.854908 + 0.518780i \(0.826386\pi\)
\(168\) −20.1767 + 8.48593i −1.55666 + 0.654704i
\(169\) −0.222521 0.974928i −0.0171170 0.0749945i
\(170\) 39.0463 36.2297i 2.99472 2.77869i
\(171\) −0.229209 + 0.0345477i −0.0175281 + 0.00264193i
\(172\) 4.43667 0.668721i 0.338293 0.0509895i
\(173\) 17.9840 16.6867i 1.36730 1.26867i 0.438180 0.898887i \(-0.355623\pi\)
0.929119 0.369781i \(-0.120567\pi\)
\(174\) 6.15737 + 26.9772i 0.466789 + 2.04514i
\(175\) 8.86838 3.72988i 0.670386 0.281952i
\(176\) 1.51730 6.64772i 0.114371 0.501090i
\(177\) −8.37754 14.5103i −0.629694 1.09066i
\(178\) 11.5717 20.0428i 0.867337 1.50227i
\(179\) 7.42826 + 6.89242i 0.555214 + 0.515164i 0.907120 0.420872i \(-0.138276\pi\)
−0.351906 + 0.936035i \(0.614466\pi\)
\(180\) 0.798836 + 0.544637i 0.0595417 + 0.0405948i
\(181\) −0.494511 0.620097i −0.0367567 0.0460914i 0.763113 0.646265i \(-0.223670\pi\)
−0.799870 + 0.600173i \(0.795098\pi\)
\(182\) −3.51482 + 5.43234i −0.260536 + 0.402672i
\(183\) −6.62224 + 8.30402i −0.489530 + 0.613851i
\(184\) −8.44362 + 2.60451i −0.622472 + 0.192007i
\(185\) 8.39764 + 21.3968i 0.617407 + 1.57313i
\(186\) 1.38545 18.4876i 0.101586 1.35557i
\(187\) 4.75355 12.1119i 0.347614 0.885707i
\(188\) 9.83965 + 4.73853i 0.717630 + 0.345593i
\(189\) −6.34521 12.4015i −0.461546 0.902078i
\(190\) 18.1602 8.74549i 1.31748 0.634464i
\(191\) −0.371545 4.95792i −0.0268840 0.358742i −0.994381 0.105860i \(-0.966240\pi\)
0.967497 0.252882i \(-0.0813786\pi\)
\(192\) −13.4319 4.14319i −0.969362 0.299009i
\(193\) −10.8800 + 7.41785i −0.783159 + 0.533948i −0.887618 0.460581i \(-0.847641\pi\)
0.104459 + 0.994529i \(0.466689\pi\)
\(194\) 3.22928 + 0.486735i 0.231848 + 0.0349455i
\(195\) −5.01948 −0.359453
\(196\) 27.3207 5.47694i 1.95148 0.391210i
\(197\) −11.9723 −0.852995 −0.426497 0.904489i \(-0.640253\pi\)
−0.426497 + 0.904489i \(0.640253\pi\)
\(198\) 0.350868 + 0.0528849i 0.0249351 + 0.00375836i
\(199\) −14.9748 + 10.2097i −1.06154 + 0.723745i −0.962484 0.271337i \(-0.912534\pi\)
−0.0990542 + 0.995082i \(0.531582\pi\)
\(200\) −16.8306 5.19156i −1.19010 0.367099i
\(201\) −1.00182 13.3683i −0.0706627 0.942928i
\(202\) −33.8219 + 16.2878i −2.37970 + 1.14600i
\(203\) −0.422763 17.5218i −0.0296721 1.22979i
\(204\) 45.4007 + 21.8638i 3.17868 + 1.53077i
\(205\) −7.17539 + 18.2826i −0.501151 + 1.27691i
\(206\) 3.27697 43.7281i 0.228317 3.04668i
\(207\) −0.0550841 0.140352i −0.00382861 0.00975514i
\(208\) 3.71152 1.14485i 0.257348 0.0793812i
\(209\) 3.06983 3.84945i 0.212345 0.266272i
\(210\) 22.6581 + 23.2678i 1.56355 + 1.60563i
\(211\) 2.21399 + 2.77625i 0.152417 + 0.191125i 0.852178 0.523252i \(-0.175281\pi\)
−0.699761 + 0.714377i \(0.746710\pi\)
\(212\) −40.7026 27.7506i −2.79547 1.90592i
\(213\) 6.66432 + 6.18359i 0.456632 + 0.423693i
\(214\) 5.04807 8.74352i 0.345079 0.597694i
\(215\) −1.65623 2.86867i −0.112954 0.195642i
\(216\) −5.67496 + 24.8636i −0.386132 + 1.69176i
\(217\) −3.18962 + 11.3015i −0.216526 + 0.767193i
\(218\) 4.78169 + 20.9500i 0.323857 + 1.41891i
\(219\) 5.68714 5.27689i 0.384301 0.356579i
\(220\) −20.3071 + 3.06081i −1.36911 + 0.206360i
\(221\) 7.32875 1.10463i 0.492985 0.0743055i
\(222\) −23.9495 + 22.2219i −1.60738 + 1.49143i
\(223\) 4.42686 + 19.3953i 0.296445 + 1.29881i 0.875380 + 0.483435i \(0.160611\pi\)
−0.578936 + 0.815373i \(0.696532\pi\)
\(224\) 0.438233 + 0.239110i 0.0292807 + 0.0159762i
\(225\) 0.0668761 0.293003i 0.00445840 0.0195335i
\(226\) −13.4460 23.2891i −0.894413 1.54917i
\(227\) −0.411556 + 0.712836i −0.0273159 + 0.0473126i −0.879360 0.476157i \(-0.842029\pi\)
0.852044 + 0.523470i \(0.175363\pi\)
\(228\) 13.9782 + 12.9699i 0.925732 + 0.858954i
\(229\) −1.08186 0.737599i −0.0714913 0.0487419i 0.527047 0.849836i \(-0.323299\pi\)
−0.598538 + 0.801094i \(0.704252\pi\)
\(230\) 8.17444 + 10.2504i 0.539007 + 0.675893i
\(231\) 7.45269 + 2.71940i 0.490351 + 0.178923i
\(232\) −20.0060 + 25.0867i −1.31346 + 1.64702i
\(233\) −3.59736 + 1.10964i −0.235671 + 0.0726949i −0.410341 0.911932i \(-0.634590\pi\)
0.174670 + 0.984627i \(0.444114\pi\)
\(234\) 0.0738428 + 0.188148i 0.00482726 + 0.0122996i
\(235\) 0.602531 8.04022i 0.0393048 0.524486i
\(236\) 14.2660 36.3491i 0.928635 2.36612i
\(237\) 21.2868 + 10.2512i 1.38273 + 0.665886i
\(238\) −38.2027 28.9861i −2.47631 1.87889i
\(239\) 5.78765 2.78718i 0.374372 0.180288i −0.237230 0.971453i \(-0.576240\pi\)
0.611602 + 0.791166i \(0.290525\pi\)
\(240\) −1.45694 19.4415i −0.0940452 1.25495i
\(241\) −12.5064 3.85772i −0.805610 0.248498i −0.135517 0.990775i \(-0.543270\pi\)
−0.670093 + 0.742277i \(0.733746\pi\)
\(242\) 15.9992 10.9080i 1.02847 0.701196i
\(243\) −0.849075 0.127977i −0.0544682 0.00820976i
\(244\) −24.7532 −1.58466
\(245\) −11.1329 17.2985i −0.711254 1.10516i
\(246\) −27.9158 −1.77985
\(247\) 2.77329 + 0.418006i 0.176460 + 0.0265971i
\(248\) 17.7626 12.1104i 1.12793 0.769008i
\(249\) 13.2986 + 4.10208i 0.842766 + 0.259959i
\(250\) −0.732392 9.77309i −0.0463205 0.618104i
\(251\) 23.6284 11.3788i 1.49141 0.718225i 0.502203 0.864750i \(-0.332523\pi\)
0.989207 + 0.146525i \(0.0468088\pi\)
\(252\) 0.358641 0.793116i 0.0225923 0.0499616i
\(253\) 2.88545 + 1.38956i 0.181406 + 0.0873608i
\(254\) −4.84638 + 12.3484i −0.304089 + 0.774806i
\(255\) 2.78011 37.0980i 0.174097 2.32317i
\(256\) −11.6310 29.6353i −0.726937 1.85221i
\(257\) 9.54081 2.94295i 0.595139 0.183576i 0.0174704 0.999847i \(-0.494439\pi\)
0.577669 + 0.816271i \(0.303963\pi\)
\(258\) 2.93550 3.68100i 0.182756 0.229169i
\(259\) 17.6667 10.7762i 1.09775 0.669603i
\(260\) −7.29364 9.14593i −0.452332 0.567207i
\(261\) −0.452376 0.308425i −0.0280014 0.0190910i
\(262\) −30.0002 27.8362i −1.85342 1.71972i
\(263\) −12.1512 + 21.0465i −0.749275 + 1.29778i 0.198895 + 0.980021i \(0.436265\pi\)
−0.948170 + 0.317762i \(0.897069\pi\)
\(264\) −7.26189 12.5780i −0.446939 0.774120i
\(265\) −8.09286 + 35.4571i −0.497140 + 2.17811i
\(266\) −10.5810 14.7425i −0.648764 0.903920i
\(267\) −3.59683 15.7588i −0.220123 0.964420i
\(268\) 22.9025 21.2504i 1.39899 1.29808i
\(269\) 8.75141 1.31906i 0.533583 0.0804247i 0.123276 0.992372i \(-0.460660\pi\)
0.410306 + 0.911948i \(0.365422\pi\)
\(270\) 37.4178 5.63982i 2.27717 0.343229i
\(271\) 22.1981 20.5968i 1.34844 1.25117i 0.407236 0.913323i \(-0.366493\pi\)
0.941202 0.337845i \(-0.109698\pi\)
\(272\) 6.40570 + 28.0652i 0.388403 + 1.70170i
\(273\) 0.781112 + 4.45099i 0.0472750 + 0.269386i
\(274\) 4.44041 19.4547i 0.268255 1.17530i
\(275\) 3.19187 + 5.52848i 0.192477 + 0.333380i
\(276\) −6.20163 + 10.7415i −0.373294 + 0.646565i
\(277\) 4.56023 + 4.23127i 0.273998 + 0.254233i 0.805188 0.593020i \(-0.202065\pi\)
−0.531190 + 0.847253i \(0.678255\pi\)
\(278\) 24.1016 + 16.4322i 1.44552 + 0.985539i
\(279\) 0.228715 + 0.286799i 0.0136928 + 0.0171702i
\(280\) −4.71313 + 37.3645i −0.281663 + 2.23296i
\(281\) −14.4226 + 18.0854i −0.860382 + 1.07889i 0.135726 + 0.990746i \(0.456663\pi\)
−0.996108 + 0.0881388i \(0.971908\pi\)
\(282\) 10.9509 3.37791i 0.652118 0.201152i
\(283\) −2.39957 6.11402i −0.142640 0.363441i 0.841644 0.540032i \(-0.181588\pi\)
−0.984284 + 0.176592i \(0.943493\pi\)
\(284\) −1.58334 + 21.1281i −0.0939537 + 1.25372i
\(285\) 5.14317 13.1046i 0.304655 0.776248i
\(286\) −3.86807 1.86277i −0.228724 0.110148i
\(287\) 17.3286 + 3.51766i 1.02287 + 0.207641i
\(288\) 0.0140505 0.00676635i 0.000827932 0.000398711i
\(289\) 2.83457 + 37.8247i 0.166739 + 2.22498i
\(290\) 45.4945 + 14.0332i 2.67153 + 0.824057i
\(291\) 1.88456 1.28487i 0.110475 0.0753205i
\(292\) 17.8787 + 2.69479i 1.04627 + 0.157700i
\(293\) −14.4926 −0.846665 −0.423333 0.905974i \(-0.639140\pi\)
−0.423333 + 0.905974i \(0.639140\pi\)
\(294\) 17.1066 23.7127i 0.997680 1.38295i
\(295\) −28.8281 −1.67844
\(296\) −37.4619 5.64647i −2.17743 0.328195i
\(297\) 7.63723 5.20698i 0.443157 0.302139i
\(298\) −12.1132 3.73642i −0.701698 0.216445i
\(299\) 0.136329 + 1.81918i 0.00788408 + 0.105206i
\(300\) −22.2750 + 10.7271i −1.28605 + 0.619328i
\(301\) −2.28604 + 1.91506i −0.131765 + 0.110382i
\(302\) −4.74133 2.28331i −0.272833 0.131389i
\(303\) −9.57874 + 24.4062i −0.550284 + 1.40210i
\(304\) −0.814060 + 10.8629i −0.0466896 + 0.623029i
\(305\) 6.67642 + 17.0113i 0.382291 + 0.974061i
\(306\) −1.43147 + 0.441549i −0.0818315 + 0.0252417i
\(307\) 1.95667 2.45358i 0.111673 0.140033i −0.722854 0.691001i \(-0.757170\pi\)
0.834526 + 0.550968i \(0.185741\pi\)
\(308\) 5.87427 + 17.5309i 0.334718 + 0.998916i
\(309\) −19.0954 23.9448i −1.08630 1.36217i
\(310\) −26.3555 17.9689i −1.49689 1.02056i
\(311\) 13.3978 + 12.4313i 0.759719 + 0.704916i 0.961588 0.274496i \(-0.0885110\pi\)
−0.201869 + 0.979413i \(0.564702\pi\)
\(312\) 4.13655 7.16471i 0.234186 0.405622i
\(313\) 6.55125 + 11.3471i 0.370299 + 0.641376i 0.989611 0.143768i \(-0.0459221\pi\)
−0.619313 + 0.785144i \(0.712589\pi\)
\(314\) 6.47030 28.3482i 0.365140 1.59978i
\(315\) −0.641789 0.0325517i −0.0361607 0.00183408i
\(316\) 12.2526 + 53.6821i 0.689261 + 3.01985i
\(317\) 8.46104 7.85069i 0.475219 0.440939i −0.405841 0.913944i \(-0.633021\pi\)
0.881060 + 0.473005i \(0.156831\pi\)
\(318\) −51.1159 + 7.70448i −2.86644 + 0.432046i
\(319\) 11.4998 1.73332i 0.643867 0.0970473i
\(320\) −17.7287 + 16.4499i −0.991067 + 0.919575i
\(321\) −1.56909 6.87463i −0.0875780 0.383704i
\(322\) 7.81742 8.84376i 0.435648 0.492844i
\(323\) −4.62543 + 20.2653i −0.257366 + 1.12759i
\(324\) 17.4057 + 30.1475i 0.966983 + 1.67486i
\(325\) −1.81816 + 3.14915i −0.100854 + 0.174683i
\(326\) 16.3408 + 15.1620i 0.905031 + 0.839746i
\(327\) 12.4005 + 8.45449i 0.685747 + 0.467534i
\(328\) −20.1830 25.3087i −1.11442 1.39744i
\(329\) −7.22337 + 0.716897i −0.398238 + 0.0395238i
\(330\) −13.4361 + 16.8483i −0.739633 + 0.927470i
\(331\) 1.98332 0.611773i 0.109013 0.0336261i −0.239769 0.970830i \(-0.577072\pi\)
0.348782 + 0.937204i \(0.386595\pi\)
\(332\) 11.8494 + 30.1919i 0.650322 + 1.65699i
\(333\) 0.0483088 0.644637i 0.00264731 0.0353259i
\(334\) −16.0722 + 40.9512i −0.879429 + 2.24075i
\(335\) −20.7813 10.0077i −1.13540 0.546781i
\(336\) −17.0129 + 4.31735i −0.928132 + 0.235531i
\(337\) −30.8679 + 14.8652i −1.68148 + 0.809758i −0.684765 + 0.728764i \(0.740095\pi\)
−0.996715 + 0.0809941i \(0.974191\pi\)
\(338\) −0.182755 2.43869i −0.00994054 0.132647i
\(339\) −17.9477 5.53612i −0.974783 0.300681i
\(340\) 71.6355 48.8403i 3.88498 2.64874i
\(341\) −7.70481 1.16131i −0.417239 0.0628887i
\(342\) −0.566869 −0.0306528
\(343\) −13.6069 + 12.5639i −0.734703 + 0.678389i
\(344\) 5.45957 0.294360
\(345\) 9.05466 + 1.36477i 0.487486 + 0.0734768i
\(346\) 49.5713 33.7972i 2.66497 1.81695i
\(347\) 27.6313 + 8.52313i 1.48333 + 0.457546i 0.927522 0.373768i \(-0.121934\pi\)
0.555804 + 0.831313i \(0.312411\pi\)
\(348\) 3.36587 + 44.9144i 0.180430 + 2.40767i
\(349\) 4.95142 2.38448i 0.265044 0.127638i −0.296643 0.954989i \(-0.595867\pi\)
0.561686 + 0.827350i \(0.310153\pi\)
\(350\) 22.8051 5.78723i 1.21899 0.309341i
\(351\) 4.74382 + 2.28450i 0.253206 + 0.121938i
\(352\) −0.121019 + 0.308352i −0.00645035 + 0.0164352i
\(353\) −1.99377 + 26.6050i −0.106118 + 1.41604i 0.649166 + 0.760646i \(0.275118\pi\)
−0.755284 + 0.655397i \(0.772501\pi\)
\(354\) −14.9699 38.1426i −0.795639 2.02726i
\(355\) 14.9470 4.61055i 0.793307 0.244703i
\(356\) 23.4874 29.4523i 1.24483 1.56097i
\(357\) −33.3290 + 3.30780i −1.76396 + 0.175067i
\(358\) 15.4509 + 19.3749i 0.816607 + 1.02399i
\(359\) 10.4702 + 7.13845i 0.552595 + 0.376753i 0.807187 0.590296i \(-0.200989\pi\)
−0.254592 + 0.967049i \(0.581941\pi\)
\(360\) 0.862402 + 0.800192i 0.0454526 + 0.0421738i
\(361\) 5.56707 9.64244i 0.293004 0.507497i
\(362\) −0.969816 1.67977i −0.0509724 0.0882868i
\(363\) 3.00943 13.1852i 0.157954 0.692042i
\(364\) −6.97509 + 7.89084i −0.365594 + 0.413592i
\(365\) −2.97030 13.0137i −0.155472 0.681169i
\(366\) −19.0407 + 17.6672i −0.995274 + 0.923479i
\(367\) −10.1395 + 1.52829i −0.529278 + 0.0797758i −0.408245 0.912873i \(-0.633859\pi\)
−0.121033 + 0.992648i \(0.538621\pi\)
\(368\) −7.00650 + 1.05606i −0.365239 + 0.0550509i
\(369\) 0.404906 0.375698i 0.0210786 0.0195581i
\(370\) 12.5084 + 54.8030i 0.650282 + 2.84907i
\(371\) 32.7008 + 1.65859i 1.69774 + 0.0861096i
\(372\) 6.71496 29.4202i 0.348155 1.52537i
\(373\) −14.1722 24.5470i −0.733811 1.27100i −0.955243 0.295822i \(-0.904406\pi\)
0.221432 0.975176i \(-0.428927\pi\)
\(374\) 15.9097 27.5565i 0.822673 1.42491i
\(375\) −5.01769 4.65574i −0.259112 0.240421i
\(376\) 10.9799 + 7.48597i 0.566245 + 0.386060i
\(377\) 4.13035 + 5.17929i 0.212724 + 0.266747i
\(378\) −10.8239 32.3023i −0.556720 1.66145i
\(379\) −10.7607 + 13.4935i −0.552742 + 0.693116i −0.977197 0.212333i \(-0.931894\pi\)
0.424456 + 0.905449i \(0.360465\pi\)
\(380\) 31.3510 9.67051i 1.60827 0.496087i
\(381\) 3.38484 + 8.62444i 0.173411 + 0.441844i
\(382\) 0.908624 12.1247i 0.0464892 0.620356i
\(383\) 9.09186 23.1657i 0.464573 1.18371i −0.486207 0.873844i \(-0.661620\pi\)
0.950780 0.309868i \(-0.100285\pi\)
\(384\) −30.3903 14.6352i −1.55085 0.746849i
\(385\) 10.4634 8.76543i 0.533266 0.446728i
\(386\) −29.0139 + 13.9723i −1.47677 + 0.711173i
\(387\) 0.00696174 + 0.0928979i 0.000353885 + 0.00472227i
\(388\) 5.07954 + 1.56683i 0.257874 + 0.0795437i
\(389\) 19.4294 13.2468i 0.985111 0.671637i 0.0402774 0.999189i \(-0.487176\pi\)
0.944833 + 0.327551i \(0.106223\pi\)
\(390\) −12.1382 1.82954i −0.614641 0.0926422i
\(391\) −13.5207 −0.683771
\(392\) 33.8662 1.63518i 1.71050 0.0825890i
\(393\) −28.5832 −1.44183
\(394\) −28.9517 4.36377i −1.45857 0.219844i
\(395\) 33.5874 22.8995i 1.68997 1.15220i
\(396\) 0.551903 + 0.170240i 0.0277342 + 0.00855486i
\(397\) 0.208300 + 2.77957i 0.0104543 + 0.139503i 0.999989 0.00479575i \(-0.00152654\pi\)
−0.989534 + 0.144298i \(0.953907\pi\)
\(398\) −39.9337 + 19.2311i −2.00170 + 0.963966i
\(399\) −12.4207 2.52139i −0.621815 0.126227i
\(400\) −12.7251 6.12808i −0.636254 0.306404i
\(401\) 1.55009 3.94957i 0.0774078 0.197232i −0.886931 0.461901i \(-0.847168\pi\)
0.964339 + 0.264669i \(0.0852628\pi\)
\(402\) 2.44997 32.6926i 0.122193 1.63056i
\(403\) −1.62154 4.13161i −0.0807745 0.205810i
\(404\) −58.3888 + 18.0106i −2.90495 + 0.896060i
\(405\) 16.0238 20.0932i 0.796228 0.998438i
\(406\) 5.36416 42.5257i 0.266219 2.11052i
\(407\) 8.56122 + 10.7354i 0.424364 + 0.532135i
\(408\) 50.6619 + 34.5407i 2.50814 + 1.71002i
\(409\) 17.1933 + 15.9531i 0.850156 + 0.788829i 0.979219 0.202807i \(-0.0650065\pi\)
−0.129063 + 0.991636i \(0.541197\pi\)
\(410\) −24.0154 + 41.5959i −1.18604 + 2.05428i
\(411\) −6.96856 12.0699i −0.343734 0.595364i
\(412\) 15.8827 69.5868i 0.782486 3.42830i
\(413\) 4.48612 + 25.5632i 0.220748 + 1.25788i
\(414\) −0.0820488 0.359479i −0.00403248 0.0176674i
\(415\) 17.5529 16.2867i 0.861636 0.799481i
\(416\) −0.186580 + 0.0281225i −0.00914786 + 0.00137882i
\(417\) 20.1458 3.03649i 0.986544 0.148698i
\(418\) 8.82659 8.18988i 0.431723 0.400580i
\(419\) −4.95487 21.7087i −0.242061 1.06054i −0.939137 0.343542i \(-0.888373\pi\)
0.697076 0.716997i \(-0.254484\pi\)
\(420\) 30.8241 + 42.9471i 1.50406 + 2.09560i
\(421\) 6.83091 29.9282i 0.332918 1.45861i −0.480533 0.876976i \(-0.659557\pi\)
0.813451 0.581633i \(-0.197586\pi\)
\(422\) 4.34199 + 7.52055i 0.211365 + 0.366095i
\(423\) −0.113377 + 0.196375i −0.00551260 + 0.00954810i
\(424\) −43.9415 40.7718i −2.13399 1.98005i
\(425\) −22.2677 15.1819i −1.08014 0.736430i
\(426\) 13.8619 + 17.3823i 0.671613 + 0.842176i
\(427\) 14.0457 8.56750i 0.679717 0.414610i
\(428\) 10.2462 12.8483i 0.495268 0.621046i
\(429\) −2.86530 + 0.883828i −0.138338 + 0.0426716i
\(430\) −2.95952 7.54073i −0.142721 0.363646i
\(431\) 2.18848 29.2033i 0.105416 1.40667i −0.654211 0.756312i \(-0.726999\pi\)
0.759626 0.650360i \(-0.225382\pi\)
\(432\) −7.47145 + 19.0369i −0.359470 + 0.915915i
\(433\) −24.4606 11.7796i −1.17550 0.566093i −0.258906 0.965903i \(-0.583362\pi\)
−0.916598 + 0.399810i \(0.869076\pi\)
\(434\) −11.8324 + 26.1668i −0.567975 + 1.25605i
\(435\) 29.9589 14.4274i 1.43642 0.691743i
\(436\) 2.61387 + 34.8796i 0.125182 + 1.67043i
\(437\) −4.88909 1.50809i −0.233877 0.0721415i
\(438\) 15.6761 10.6878i 0.749032 0.510681i
\(439\) −0.584604 0.0881149i −0.0279016 0.00420550i 0.135077 0.990835i \(-0.456872\pi\)
−0.162978 + 0.986630i \(0.552110\pi\)
\(440\) −24.9891 −1.19131
\(441\) 0.0710078 + 0.574168i 0.00338132 + 0.0273413i
\(442\) 18.1251 0.862124
\(443\) 18.4541 + 2.78151i 0.876781 + 0.132153i 0.571985 0.820264i \(-0.306174\pi\)
0.304796 + 0.952418i \(0.401412\pi\)
\(444\) −43.9384 + 29.9567i −2.08523 + 1.42168i
\(445\) −26.5756 8.19749i −1.25980 0.388598i
\(446\) 3.63575 + 48.5157i 0.172158 + 2.29728i
\(447\) −7.97675 + 3.84140i −0.377287 + 0.181692i
\(448\) 17.3457 + 13.1610i 0.819506 + 0.621798i
\(449\) 20.1824 + 9.71934i 0.952467 + 0.458684i 0.844550 0.535476i \(-0.179868\pi\)
0.107916 + 0.994160i \(0.465582\pi\)
\(450\) 0.268517 0.684169i 0.0126580 0.0322520i
\(451\) −0.876779 + 11.6998i −0.0412859 + 0.550922i
\(452\) −15.9918 40.7465i −0.752193 1.91656i
\(453\) −3.51217 + 1.08336i −0.165016 + 0.0509008i
\(454\) −1.25505 + 1.57378i −0.0589024 + 0.0738613i
\(455\) 7.30417 + 2.66521i 0.342425 + 0.124947i
\(456\) 14.4667 + 18.1407i 0.677467 + 0.849516i
\(457\) 12.0508 + 8.21610i 0.563713 + 0.384333i 0.811386 0.584511i \(-0.198713\pi\)
−0.247673 + 0.968844i \(0.579666\pi\)
\(458\) −2.34732 2.17800i −0.109683 0.101771i
\(459\) −19.5118 + 33.7953i −0.910731 + 1.57743i
\(460\) 10.6703 + 18.4815i 0.497505 + 0.861704i
\(461\) −4.49104 + 19.6766i −0.209169 + 0.916428i 0.755953 + 0.654626i \(0.227174\pi\)
−0.965122 + 0.261802i \(0.915683\pi\)
\(462\) 17.0310 + 9.29250i 0.792355 + 0.432326i
\(463\) 9.03912 + 39.6030i 0.420084 + 1.84051i 0.531940 + 0.846782i \(0.321463\pi\)
−0.111856 + 0.993724i \(0.535680\pi\)
\(464\) −18.8617 + 17.5011i −0.875631 + 0.812466i
\(465\) −22.0297 + 3.32045i −1.02160 + 0.153982i
\(466\) −9.10365 + 1.37215i −0.421718 + 0.0635638i
\(467\) 17.7674 16.4857i 0.822177 0.762869i −0.152066 0.988370i \(-0.548593\pi\)
0.974243 + 0.225501i \(0.0724020\pi\)
\(468\) 0.0732079 + 0.320745i 0.00338404 + 0.0148264i
\(469\) −5.64039 + 19.9850i −0.260449 + 0.922823i
\(470\) 4.38761 19.2234i 0.202385 0.886708i
\(471\) −10.1542 17.5876i −0.467880 0.810392i
\(472\) 23.7572 41.1487i 1.09351 1.89402i
\(473\) −1.45055 1.34591i −0.0666962 0.0618851i
\(474\) 47.7396 + 32.5483i 2.19275 + 1.49499i
\(475\) −6.35866 7.97350i −0.291755 0.365849i
\(476\) −54.4564 55.9220i −2.49601 2.56318i
\(477\) 0.637724 0.799681i 0.0291994 0.0366149i
\(478\) 15.0117 4.63049i 0.686618 0.211793i
\(479\) −9.25224 23.5743i −0.422746 1.07714i −0.970628 0.240583i \(-0.922661\pi\)
0.547883 0.836555i \(-0.315434\pi\)
\(480\) −0.0707780 + 0.944467i −0.00323056 + 0.0431088i
\(481\) −2.85754 + 7.28090i −0.130293 + 0.331980i
\(482\) −28.8371 13.8872i −1.31350 0.632546i
\(483\) −0.198850 8.24154i −0.00904797 0.375003i
\(484\) 28.3974 13.6755i 1.29079 0.621613i
\(485\) −0.293272 3.91344i −0.0133168 0.177700i
\(486\) −2.00660 0.618954i −0.0910212 0.0280763i
\(487\) 26.2106 17.8701i 1.18771 0.809769i 0.202196 0.979345i \(-0.435192\pi\)
0.985517 + 0.169576i \(0.0542397\pi\)
\(488\) −29.7835 4.48915i −1.34824 0.203214i
\(489\) 15.5689 0.704052
\(490\) −20.6166 45.8893i −0.931364 2.07307i
\(491\) −16.8645 −0.761083 −0.380542 0.924764i \(-0.624262\pi\)
−0.380542 + 0.924764i \(0.624262\pi\)
\(492\) −44.9314 6.77231i −2.02566 0.305319i
\(493\) −40.5668 + 27.6580i −1.82704 + 1.24565i
\(494\) 6.55405 + 2.02166i 0.294881 + 0.0909587i
\(495\) −0.0318646 0.425204i −0.00143221 0.0191115i
\(496\) 15.5319 7.47979i 0.697405 0.335852i
\(497\) −6.41438 12.5367i −0.287724 0.562349i
\(498\) 30.6638 + 14.7669i 1.37408 + 0.661721i
\(499\) −10.5211 + 26.8073i −0.470988 + 1.20006i 0.476188 + 0.879343i \(0.342018\pi\)
−0.947176 + 0.320714i \(0.896077\pi\)
\(500\) 1.19212 15.9078i 0.0533133 0.711417i
\(501\) 11.2252 + 28.6014i 0.501506 + 1.27782i
\(502\) 61.2859 18.9042i 2.73533 0.843736i
\(503\) −4.36894 + 5.47848i −0.194802 + 0.244273i −0.869633 0.493698i \(-0.835645\pi\)
0.674832 + 0.737972i \(0.264216\pi\)
\(504\) 0.575361 0.889251i 0.0256286 0.0396104i
\(505\) 28.1261 + 35.2690i 1.25160 + 1.56945i
\(506\) 6.47116 + 4.41196i 0.287678 + 0.196135i
\(507\) −1.25207 1.16175i −0.0556064 0.0515952i
\(508\) −10.7961 + 18.6994i −0.478999 + 0.829650i
\(509\) −12.1193 20.9912i −0.537177 0.930418i −0.999055 0.0434740i \(-0.986157\pi\)
0.461878 0.886944i \(-0.347176\pi\)
\(510\) 20.2447 88.6977i 0.896449 3.92760i
\(511\) −11.0776 + 4.65904i −0.490044 + 0.206104i
\(512\) −8.53572 37.3974i −0.377229 1.65275i
\(513\) −10.8250 + 10.0441i −0.477934 + 0.443458i
\(514\) 24.1444 3.63918i 1.06496 0.160517i
\(515\) −52.1064 + 7.85377i −2.29608 + 0.346078i
\(516\) 5.61778 5.21254i 0.247309 0.229469i
\(517\) −1.07177 4.69574i −0.0471365 0.206518i
\(518\) 46.6497 19.6200i 2.04967 0.862053i
\(519\) 9.32432 40.8525i 0.409292 1.79323i
\(520\) −7.11718 12.3273i −0.312109 0.540589i
\(521\) −12.2112 + 21.1503i −0.534980 + 0.926613i 0.464184 + 0.885739i \(0.346348\pi\)
−0.999164 + 0.0408742i \(0.986986\pi\)
\(522\) −0.981526 0.910723i −0.0429602 0.0398613i
\(523\) 11.4278 + 7.79132i 0.499702 + 0.340691i 0.786798 0.617211i \(-0.211738\pi\)
−0.287096 + 0.957902i \(0.592690\pi\)
\(524\) −41.5333 52.0812i −1.81439 2.27518i
\(525\) 8.92663 13.7966i 0.389590 0.602132i
\(526\) −37.0554 + 46.4660i −1.61569 + 2.02601i
\(527\) 31.4340 9.69611i 1.36929 0.422369i
\(528\) −4.25493 10.8414i −0.185172 0.471811i
\(529\) −1.47009 + 19.6170i −0.0639170 + 0.852913i
\(530\) −32.4940 + 82.7933i −1.41145 + 3.59631i
\(531\) 0.730464 + 0.351773i 0.0316994 + 0.0152656i
\(532\) −13.4540 26.2954i −0.583304 1.14005i
\(533\) −6.02133 + 2.89972i −0.260813 + 0.125601i
\(534\) −2.95405 39.4191i −0.127834 1.70583i
\(535\) −11.5934 3.57609i −0.501226 0.154608i
\(536\) 31.4107 21.4154i 1.35673 0.925006i
\(537\) 17.1147 + 2.57962i 0.738553 + 0.111319i
\(538\) 21.6436 0.933121
\(539\) −9.40097 7.91434i −0.404928 0.340895i
\(540\) 61.5933 2.65055
\(541\) 26.1472 + 3.94106i 1.12416 + 0.169439i 0.684700 0.728825i \(-0.259933\pi\)
0.439456 + 0.898264i \(0.355171\pi\)
\(542\) 61.1870 41.7166i 2.62821 1.79188i
\(543\) −1.29451 0.399303i −0.0555526 0.0171357i
\(544\) −0.104508 1.39456i −0.00448072 0.0597911i
\(545\) 23.2655 11.2041i 0.996584 0.479929i
\(546\) 0.266567 + 11.0482i 0.0114080 + 0.472818i
\(547\) 18.7240 + 9.01699i 0.800579 + 0.385539i 0.788999 0.614394i \(-0.210600\pi\)
0.0115802 + 0.999933i \(0.496314\pi\)
\(548\) 11.8666 30.2357i 0.506918 1.29160i
\(549\) 0.0384073 0.512509i 0.00163918 0.0218734i
\(550\) 5.70356 + 14.5324i 0.243201 + 0.619666i
\(551\) −17.7539 + 5.47636i −0.756342 + 0.233301i
\(552\) −9.40997 + 11.7997i −0.400515 + 0.502230i
\(553\) −25.5327 26.2199i −1.08576 1.11498i
\(554\) 9.48537 + 11.8943i 0.402995 + 0.505340i
\(555\) 32.4383 + 22.1161i 1.37693 + 0.938776i
\(556\) 34.8059 + 32.2952i 1.47610 + 1.36962i
\(557\) −6.21387 + 10.7627i −0.263290 + 0.456032i −0.967114 0.254342i \(-0.918141\pi\)
0.703824 + 0.710374i \(0.251474\pi\)
\(558\) 0.448547 + 0.776906i 0.0189885 + 0.0328891i
\(559\) 0.250816 1.09890i 0.0106084 0.0464785i
\(560\) −8.20283 + 29.0642i −0.346633 + 1.22819i
\(561\) −4.94521 21.6664i −0.208787 0.914756i
\(562\) −41.4689 + 38.4776i −1.74926 + 1.62308i
\(563\) 2.11938 0.319444i 0.0893210 0.0134630i −0.104230 0.994553i \(-0.533238\pi\)
0.193551 + 0.981090i \(0.438000\pi\)
\(564\) 18.4453 2.78019i 0.776688 0.117067i
\(565\) −23.6891 + 21.9803i −0.996608 + 0.924718i
\(566\) −3.57421 15.6596i −0.150235 0.658223i
\(567\) −20.3110 11.0821i −0.852984 0.465407i
\(568\) −5.73682 + 25.1347i −0.240712 + 1.05463i
\(569\) −13.4924 23.3695i −0.565631 0.979702i −0.996991 0.0775220i \(-0.975299\pi\)
0.431359 0.902180i \(-0.358034\pi\)
\(570\) 17.2137 29.8151i 0.721004 1.24882i
\(571\) −0.197643 0.183386i −0.00827110 0.00767446i 0.676026 0.736877i \(-0.263701\pi\)
−0.684297 + 0.729203i \(0.739891\pi\)
\(572\) −5.77388 3.93657i −0.241418 0.164596i
\(573\) −5.29467 6.63931i −0.221188 0.277361i
\(574\) 40.6221 + 14.8225i 1.69553 + 0.618680i
\(575\) 4.13603 5.18642i 0.172484 0.216288i
\(576\) 0.649949 0.200483i 0.0270812 0.00835345i
\(577\) −14.7339 37.5412i −0.613378 1.56286i −0.812546 0.582897i \(-0.801919\pi\)
0.199168 0.979965i \(-0.436176\pi\)
\(578\) −6.93203 + 92.5015i −0.288334 + 3.84755i
\(579\) −8.21704 + 20.9367i −0.341489 + 0.870099i
\(580\) 69.8204 + 33.6237i 2.89913 + 1.39615i
\(581\) −17.1736 13.0304i −0.712481 0.540593i
\(582\) 5.02559 2.42020i 0.208317 0.100320i
\(583\) 1.62358 + 21.6652i 0.0672419 + 0.897281i
\(584\) 21.0233 + 6.48484i 0.869952 + 0.268345i
\(585\) 0.200681 0.136822i 0.00829715 0.00565690i
\(586\) −35.0462 5.28236i −1.44774 0.218212i
\(587\) −24.8534 −1.02581 −0.512906 0.858445i \(-0.671431\pi\)
−0.512906 + 0.858445i \(0.671431\pi\)
\(588\) 33.2863 34.0163i 1.37270 1.40281i
\(589\) 12.4480 0.512913
\(590\) −69.7126 10.5075i −2.87002 0.432587i
\(591\) −16.8958 + 11.5194i −0.695001 + 0.473844i
\(592\) −29.0299 8.95455i −1.19312 0.368030i
\(593\) 0.698316 + 9.31837i 0.0286764 + 0.382660i 0.993015 + 0.117988i \(0.0376445\pi\)
−0.964339 + 0.264672i \(0.914736\pi\)
\(594\) 20.3663 9.80792i 0.835641 0.402424i
\(595\) −23.7435 + 52.5076i −0.973390 + 2.15260i
\(596\) −18.5901 8.95252i −0.761481 0.366710i
\(597\) −11.3097 + 28.8165i −0.462874 + 1.17938i
\(598\) −0.333396 + 4.44885i −0.0136336 + 0.181927i
\(599\) 0.171156 + 0.436097i 0.00699323 + 0.0178184i 0.934328 0.356415i \(-0.116001\pi\)
−0.927335 + 0.374234i \(0.877906\pi\)
\(600\) −28.7471 + 8.86732i −1.17360 + 0.362007i
\(601\) 17.4708 21.9076i 0.712647 0.893631i −0.285250 0.958453i \(-0.592077\pi\)
0.997897 + 0.0648222i \(0.0206480\pi\)
\(602\) −6.22614 + 3.79779i −0.253759 + 0.154786i
\(603\) 0.404450 + 0.507164i 0.0164705 + 0.0206533i
\(604\) −7.07740 4.82529i −0.287975 0.196338i
\(605\) −17.0576 15.8271i −0.693490 0.643465i
\(606\) −32.0592 + 55.5282i −1.30232 + 2.25568i
\(607\) 24.3335 + 42.1469i 0.987667 + 1.71069i 0.629424 + 0.777062i \(0.283291\pi\)
0.358244 + 0.933628i \(0.383376\pi\)
\(608\) 0.117757 0.515929i 0.00477569 0.0209237i
\(609\) −17.4555 24.3207i −0.707334 0.985525i
\(610\) 9.94465 + 43.5703i 0.402647 + 1.76411i
\(611\) 2.01120 1.86612i 0.0813642 0.0754950i
\(612\) −2.41111 + 0.363416i −0.0974634 + 0.0146902i
\(613\) 3.86474 0.582516i 0.156095 0.0235276i −0.0705296 0.997510i \(-0.522469\pi\)
0.226625 + 0.973982i \(0.427231\pi\)
\(614\) 5.62594 5.22011i 0.227045 0.210667i
\(615\) 7.46470 + 32.7050i 0.301006 + 1.31879i
\(616\) 3.88870 + 22.1589i 0.156680 + 0.892807i
\(617\) 0.799445 3.50260i 0.0321845 0.141009i −0.956283 0.292443i \(-0.905532\pi\)
0.988467 + 0.151434i \(0.0483890\pi\)
\(618\) −37.4491 64.8638i −1.50642 2.60920i
\(619\) −1.55249 + 2.68900i −0.0624000 + 0.108080i −0.895538 0.444986i \(-0.853209\pi\)
0.833138 + 0.553066i \(0.186542\pi\)
\(620\) −38.0608 35.3152i −1.52856 1.41829i
\(621\) −7.93625 5.41084i −0.318471 0.217130i
\(622\) 27.8677 + 34.9450i 1.11739 + 1.40117i
\(623\) −3.13348 + 24.8414i −0.125540 + 0.995250i
\(624\) 4.13630 5.18675i 0.165584 0.207636i
\(625\) −28.6278 + 8.83050i −1.14511 + 0.353220i
\(626\) 11.7065 + 29.8276i 0.467884 + 1.19215i
\(627\) 0.628456 8.38617i 0.0250981 0.334911i
\(628\) 17.2914 44.0577i 0.690001 1.75809i
\(629\) −52.2290 25.1522i −2.08251 1.00288i
\(630\) −1.54012 0.312641i −0.0613599 0.0124559i
\(631\) −17.6417 + 8.49581i −0.702306 + 0.338213i −0.750725 0.660614i \(-0.770296\pi\)
0.0484194 + 0.998827i \(0.484582\pi\)
\(632\) 5.00697 + 66.8134i 0.199167 + 2.65769i
\(633\) 5.79568 + 1.78773i 0.230357 + 0.0710559i
\(634\) 23.3221 15.9007i 0.926238 0.631499i
\(635\) 15.7628 + 2.37586i 0.625526 + 0.0942829i
\(636\) −84.1417 −3.33644
\(637\) 1.22671 6.89168i 0.0486039 0.273058i
\(638\) 28.4408 1.12598
\(639\) −0.434997 0.0655652i −0.0172082 0.00259372i
\(640\) −47.9514 + 32.6927i −1.89544 + 1.29229i
\(641\) −35.8213 11.0494i −1.41486 0.436426i −0.509278 0.860602i \(-0.670087\pi\)
−0.905580 + 0.424177i \(0.860564\pi\)
\(642\) −1.28868 17.1962i −0.0508602 0.678682i
\(643\) −36.0317 + 17.3519i −1.42095 + 0.684293i −0.977291 0.211903i \(-0.932034\pi\)
−0.443659 + 0.896196i \(0.646320\pi\)
\(644\) 14.7279 12.3378i 0.580359 0.486178i
\(645\) −5.09746 2.45481i −0.200712 0.0966580i
\(646\) −18.5717 + 47.3200i −0.730695 + 1.86178i
\(647\) 3.24823 43.3446i 0.127701 1.70405i −0.454289 0.890854i \(-0.650107\pi\)
0.581990 0.813196i \(-0.302274\pi\)
\(648\) 15.4754 + 39.4308i 0.607932 + 1.54899i
\(649\) −16.4561 + 5.07605i −0.645960 + 0.199252i
\(650\) −5.54454 + 6.95263i −0.217475 + 0.272705i
\(651\) 6.37256 + 19.0180i 0.249760 + 0.745374i
\(652\) 22.6227 + 28.3680i 0.885973 + 1.11098i
\(653\) 8.50002 + 5.79521i 0.332631 + 0.226784i 0.718105 0.695935i \(-0.245010\pi\)
−0.385474 + 0.922719i \(0.625962\pi\)
\(654\) 26.9054 + 24.9646i 1.05208 + 0.976192i
\(655\) −24.5896 + 42.5905i −0.960796 + 1.66415i
\(656\) −12.9790 22.4803i −0.506744 0.877707i
\(657\) −0.0835357 + 0.365994i −0.00325904 + 0.0142788i
\(658\) −17.7290 0.899217i −0.691147 0.0350551i
\(659\) 1.92752 + 8.44503i 0.0750856 + 0.328972i 0.998495 0.0548452i \(-0.0174665\pi\)
−0.923409 + 0.383817i \(0.874609\pi\)
\(660\) −25.7132 + 23.8584i −1.00088 + 0.928685i
\(661\) −2.05501 + 0.309743i −0.0799307 + 0.0120476i −0.188886 0.981999i \(-0.560488\pi\)
0.108955 + 0.994047i \(0.465250\pi\)
\(662\) 5.01907 0.756504i 0.195072 0.0294023i
\(663\) 9.27976 8.61036i 0.360396 0.334399i
\(664\) 8.78199 + 38.4764i 0.340807 + 1.49317i
\(665\) −14.4423 + 16.3384i −0.560049 + 0.633577i
\(666\) 0.351783 1.54126i 0.0136313 0.0597227i
\(667\) −6.04253 10.4660i −0.233968 0.405244i
\(668\) −35.8033 + 62.0131i −1.38527 + 2.39936i
\(669\) 24.9089 + 23.1121i 0.963033 + 0.893564i
\(670\) −46.6059 31.7754i −1.80054 1.22759i
\(671\) 6.80648 + 8.53505i 0.262761 + 0.329492i
\(672\) 0.848514 0.0842123i 0.0327321 0.00324856i
\(673\) −15.2168 + 19.0813i −0.586566 + 0.735530i −0.983217 0.182439i \(-0.941601\pi\)
0.396651 + 0.917969i \(0.370172\pi\)
\(674\) −80.0633 + 24.6963i −3.08392 + 0.951264i
\(675\) −6.99487 17.8226i −0.269233 0.685994i
\(676\) 0.297472 3.96949i 0.0114412 0.152673i
\(677\) −11.4229 + 29.1051i −0.439017 + 1.11860i 0.524608 + 0.851344i \(0.324212\pi\)
−0.963626 + 0.267255i \(0.913884\pi\)
\(678\) −41.3834 19.9292i −1.58932 0.765377i
\(679\) −3.42458 + 0.869051i −0.131423 + 0.0333511i
\(680\) 95.0508 45.7740i 3.64503 1.75535i
\(681\) 0.105063 + 1.40196i 0.00402601 + 0.0537234i
\(682\) −18.2086 5.61661i −0.697244 0.215071i
\(683\) 17.2782 11.7801i 0.661131 0.450751i −0.185705 0.982606i \(-0.559457\pi\)
0.846836 + 0.531854i \(0.178505\pi\)
\(684\) −0.912394 0.137521i −0.0348863 0.00525826i
\(685\) −23.9797 −0.916216
\(686\) −37.4838 + 25.4228i −1.43114 + 0.970646i
\(687\) −2.23645 −0.0853260
\(688\) 4.32908 + 0.652503i 0.165044 + 0.0248764i
\(689\) −10.2252 + 6.97143i −0.389549 + 0.265590i
\(690\) 21.3987 + 6.60062i 0.814634 + 0.251281i
\(691\) −0.0285342 0.380762i −0.00108549 0.0144849i 0.996635 0.0819706i \(-0.0261213\pi\)
−0.997720 + 0.0674857i \(0.978502\pi\)
\(692\) 87.9857 42.3717i 3.34471 1.61073i
\(693\) −0.372088 + 0.0944243i −0.0141345 + 0.00358688i
\(694\) 63.7119 + 30.6820i 2.41847 + 1.16467i
\(695\) 12.8065 32.6305i 0.485779 1.23774i
\(696\) −4.09563 + 54.6524i −0.155244 + 2.07159i
\(697\) −18.0963 46.1086i −0.685445 1.74649i
\(698\) 12.8427 3.96145i 0.486104 0.149943i
\(699\) −4.00907 + 5.02722i −0.151637 + 0.190147i
\(700\) 38.1096 3.78225i 1.44041 0.142956i
\(701\) −18.9759 23.7950i −0.716709 0.898724i 0.281438 0.959579i \(-0.409189\pi\)
−0.998147 + 0.0608552i \(0.980617\pi\)
\(702\) 10.6389 + 7.25348i 0.401540 + 0.273765i
\(703\) −16.0806 14.9206i −0.606491 0.562742i
\(704\) −7.22372 + 12.5118i −0.272254 + 0.471558i
\(705\) −6.88571 11.9264i −0.259331 0.449174i
\(706\) −14.5186 + 63.6100i −0.546414 + 2.39400i
\(707\) 26.8977 30.4291i 1.01159 1.14440i
\(708\) −14.8412 65.0233i −0.557765 2.44373i
\(709\) −12.5198 + 11.6167i −0.470191 + 0.436273i −0.879340 0.476194i \(-0.842016\pi\)
0.409149 + 0.912467i \(0.365826\pi\)
\(710\) 37.8257 5.70130i 1.41957 0.213966i
\(711\) −1.13049 + 0.170393i −0.0423965 + 0.00639025i
\(712\) 33.6018 31.1780i 1.25928 1.16844i
\(713\) 1.80173 + 7.89390i 0.0674754 + 0.295629i
\(714\) −81.8025 4.14904i −3.06138 0.155274i
\(715\) −1.14801 + 5.02978i −0.0429333 + 0.188103i
\(716\) 20.1685 + 34.9328i 0.753731 + 1.30550i
\(717\) 5.48601 9.50205i 0.204879 0.354860i
\(718\) 22.7173 + 21.0786i 0.847802 + 0.786645i
\(719\) −5.25951 3.58587i −0.196147 0.133730i 0.461264 0.887263i \(-0.347396\pi\)
−0.657411 + 0.753532i \(0.728348\pi\)
\(720\) 0.588191 + 0.737569i 0.0219206 + 0.0274876i
\(721\) 15.0729 + 44.9828i 0.561343 + 1.67525i
\(722\) 16.9769 21.2884i 0.631816 0.792272i
\(723\) −21.3613 + 6.58909i −0.794435 + 0.245051i
\(724\) −1.15344 2.93892i −0.0428673 0.109224i
\(725\) 1.80018 24.0217i 0.0668570 0.892144i
\(726\) 12.0833 30.7877i 0.448452 1.14264i
\(727\) 47.9814 + 23.1066i 1.77953 + 0.856978i 0.957974 + 0.286854i \(0.0926094\pi\)
0.821559 + 0.570124i \(0.193105\pi\)
\(728\) −9.82362 + 8.22944i −0.364088 + 0.305003i
\(729\) −24.9589 + 12.0196i −0.924404 + 0.445169i
\(730\) −2.43948 32.5526i −0.0902893 1.20483i
\(731\) 7.98283 + 2.46238i 0.295256 + 0.0910743i
\(732\) −34.9326 + 23.8167i −1.29115 + 0.880289i
\(733\) 16.1922 + 2.44058i 0.598073 + 0.0901450i 0.441100 0.897458i \(-0.354588\pi\)
0.156973 + 0.987603i \(0.449827\pi\)
\(734\) −25.0766 −0.925593
\(735\) −32.3552 13.7006i −1.19344 0.505356i
\(736\) 0.344219 0.0126881
\(737\) −13.6249 2.05362i −0.501878 0.0756460i
\(738\) 1.11609 0.760936i 0.0410837 0.0280104i
\(739\) −31.7387 9.79009i −1.16753 0.360134i −0.350404 0.936599i \(-0.613956\pi\)
−0.817122 + 0.576464i \(0.804432\pi\)
\(740\) 6.83762 + 91.2416i 0.251356 + 3.35411i
\(741\) 4.31596 2.07846i 0.158551 0.0763540i
\(742\) 78.4729 + 15.9298i 2.88083 + 0.584803i
\(743\) −43.2511 20.8286i −1.58673 0.764128i −0.587738 0.809051i \(-0.699981\pi\)
−0.998990 + 0.0449233i \(0.985696\pi\)
\(744\) 13.4151 34.1812i 0.491822 1.25314i
\(745\) −1.13837 + 15.1904i −0.0417065 + 0.556534i
\(746\) −25.3245 64.5256i −0.927194 2.36245i
\(747\) −0.643501 + 0.198494i −0.0235445 + 0.00726251i
\(748\) 32.2923 40.4933i 1.18073 1.48058i
\(749\) −1.36695 + 10.8369i −0.0499474 + 0.395970i
\(750\) −10.4369 13.0875i −0.381102 0.477886i
\(751\) 36.3465 + 24.7806i 1.32630 + 0.904258i 0.999171 0.0407203i \(-0.0129653\pi\)
0.327133 + 0.944978i \(0.393918\pi\)
\(752\) 7.81164 + 7.24814i 0.284861 + 0.264313i
\(753\) 22.3969 38.7926i 0.816189 1.41368i
\(754\) 8.10029 + 14.0301i 0.294995 + 0.510946i
\(755\) −1.40719 + 6.16531i −0.0512129 + 0.224378i
\(756\) −9.58490 54.6174i −0.348600 1.98642i
\(757\) 1.61107 + 7.05855i 0.0585553 + 0.256547i 0.995730 0.0923127i \(-0.0294259\pi\)
−0.937175 + 0.348860i \(0.886569\pi\)
\(758\) −30.9400 + 28.7081i −1.12379 + 1.04273i
\(759\) 5.40903 0.815280i 0.196335 0.0295928i
\(760\) 39.4760 5.95005i 1.43195 0.215831i
\(761\) 24.3489 22.5925i 0.882647 0.818977i −0.101773 0.994808i \(-0.532452\pi\)
0.984420 + 0.175831i \(0.0562611\pi\)
\(762\) 5.04178 + 22.0895i 0.182645 + 0.800218i
\(763\) −13.5556 18.8870i −0.490746 0.683754i
\(764\) 4.40389 19.2947i 0.159327 0.698058i
\(765\) 0.900076 + 1.55898i 0.0325423 + 0.0563650i
\(766\) 30.4297 52.7058i 1.09947 1.90434i
\(767\) −7.19096 6.67223i −0.259650 0.240920i
\(768\) −44.9281 30.6315i −1.62120 1.10532i
\(769\) 24.3355 + 30.5158i 0.877562 + 1.10043i 0.994231 + 0.107257i \(0.0342069\pi\)
−0.116669 + 0.993171i \(0.537222\pi\)
\(770\) 28.4977 17.3829i 1.02699 0.626437i
\(771\) 10.6327 13.3330i 0.382929 0.480177i
\(772\) −50.0884 + 15.4502i −1.80272 + 0.556066i
\(773\) −1.15093 2.93251i −0.0413959 0.105475i 0.908681 0.417492i \(-