Properties

Label 637.2.bl.a.53.19
Level $637$
Weight $2$
Character 637.53
Analytic conductor $5.086$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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: \(324\)
Relative dimension: \(27\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 53.19
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.a.625.19

$q$-expansion

\(f(q)\) \(=\) \(q+(1.01838 + 0.694320i) q^{2} +(0.670270 + 0.621920i) q^{3} +(-0.175663 - 0.447582i) q^{4} +(0.228303 - 0.0704221i) q^{5} +(0.250779 + 1.09873i) q^{6} +(2.28590 + 1.33217i) q^{7} +(0.680410 - 2.98107i) q^{8} +(-0.161712 - 2.15790i) q^{9} +O(q^{10})\) \(q+(1.01838 + 0.694320i) q^{2} +(0.670270 + 0.621920i) q^{3} +(-0.175663 - 0.447582i) q^{4} +(0.228303 - 0.0704221i) q^{5} +(0.250779 + 1.09873i) q^{6} +(2.28590 + 1.33217i) q^{7} +(0.680410 - 2.98107i) q^{8} +(-0.161712 - 2.15790i) q^{9} +(0.281395 + 0.0867987i) q^{10} +(-0.0880881 + 1.17545i) q^{11} +(0.160619 - 0.409249i) q^{12} +(0.900969 - 0.433884i) q^{13} +(1.40296 + 2.94380i) q^{14} +(0.196821 + 0.0947842i) q^{15} +(2.05780 - 1.90936i) q^{16} +(4.17595 - 0.629424i) q^{17} +(1.33359 - 2.30985i) q^{18} +(1.03747 + 1.79696i) q^{19} +(-0.0716241 - 0.0898137i) q^{20} +(0.703666 + 2.31456i) q^{21} +(-0.905849 + 1.13590i) q^{22} +(0.137468 + 0.0207200i) q^{23} +(2.31005 - 1.57496i) q^{24} +(-4.08403 + 2.78445i) q^{25} +(1.21878 + 0.183702i) q^{26} +(2.94393 - 3.69157i) q^{27} +(0.194708 - 1.25714i) q^{28} +(1.31913 + 1.65414i) q^{29} +(0.134629 + 0.233183i) q^{30} +(-0.459726 + 0.796269i) q^{31} +(-2.62583 + 0.395780i) q^{32} +(-0.790081 + 0.733088i) q^{33} +(4.68973 + 2.25846i) q^{34} +(0.615691 + 0.143160i) q^{35} +(-0.937433 + 0.451444i) q^{36} +(-1.24872 + 3.18169i) q^{37} +(-0.191120 + 2.55033i) q^{38} +(0.873733 + 0.269511i) q^{39} +(-0.0545937 - 0.728503i) q^{40} +(-1.38906 + 6.08589i) q^{41} +(-0.890444 + 2.84567i) q^{42} +(-2.52719 - 11.0723i) q^{43} +(0.541587 - 0.167057i) q^{44} +(-0.188883 - 0.481267i) q^{45} +(0.125609 + 0.116548i) q^{46} +(-5.15190 - 3.51250i) q^{47} +2.56675 q^{48} +(3.45065 + 6.09040i) q^{49} -6.09240 q^{50} +(3.19047 + 2.17522i) q^{51} +(-0.352466 - 0.327040i) q^{52} +(3.19646 + 8.14446i) q^{53} +(5.56117 - 1.71539i) q^{54} +(0.0626672 + 0.274563i) q^{55} +(5.52664 - 5.90800i) q^{56} +(-0.422176 + 1.84967i) q^{57} +(0.194876 + 2.60044i) q^{58} +(-1.16986 - 0.360854i) q^{59} +(0.00784947 - 0.104744i) q^{60} +(1.30595 - 3.32750i) q^{61} +(-1.02104 + 0.491708i) q^{62} +(2.50503 - 5.14817i) q^{63} +(-8.00724 - 3.85608i) q^{64} +(0.175139 - 0.162505i) q^{65} +(-1.31360 + 0.197994i) q^{66} +(-4.41526 + 7.64745i) q^{67} +(-1.01528 - 1.75852i) q^{68} +(0.0792546 + 0.0993821i) q^{69} +(0.527609 + 0.573278i) q^{70} +(-4.30503 + 5.39833i) q^{71} +(-6.54289 - 0.986183i) q^{72} +(10.1521 - 6.92162i) q^{73} +(-3.48079 + 2.37316i) q^{74} +(-4.46911 - 0.673609i) q^{75} +(0.622040 - 0.780014i) q^{76} +(-1.76726 + 2.56962i) q^{77} +(0.702666 + 0.881116i) q^{78} +(-6.45930 - 11.1878i) q^{79} +(0.335341 - 0.580827i) q^{80} +(-2.15027 + 0.324101i) q^{81} +(-5.64015 + 5.23329i) q^{82} +(-12.4973 - 6.01839i) q^{83} +(0.912347 - 0.721531i) q^{84} +(0.909056 - 0.437778i) q^{85} +(5.11410 - 13.0305i) q^{86} +(-0.144567 + 1.92911i) q^{87} +(3.44418 + 1.06239i) q^{88} +(0.412037 + 5.49825i) q^{89} +(0.141798 - 0.621259i) q^{90} +(2.63753 + 0.208429i) q^{91} +(-0.0148742 - 0.0651680i) q^{92} +(-0.803356 + 0.247802i) q^{93} +(-2.80779 - 7.15413i) q^{94} +(0.363403 + 0.337189i) q^{95} +(-2.00616 - 1.36778i) q^{96} -10.6154 q^{97} +(-0.714613 + 8.59821i) q^{98} +2.55076 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} + O(q^{10}) \) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} - 5q^{10} - 18q^{11} - 40q^{12} + 54q^{13} - 15q^{14} + 6q^{15} + 29q^{16} - 6q^{17} + 49q^{18} - 24q^{19} + 11q^{20} - 6q^{22} - 42q^{23} + 20q^{24} + 14q^{25} + 3q^{26} - 33q^{27} + 7q^{28} - 22q^{29} + 57q^{30} - 31q^{31} - 139q^{32} + 6q^{33} + 50q^{34} + 42q^{35} - 78q^{36} - 4q^{37} - 90q^{38} + 40q^{40} + 8q^{41} + 20q^{42} + 34q^{43} - 256q^{44} + 19q^{45} + 85q^{46} + 34q^{47} - 10q^{48} + 51q^{49} - 54q^{50} + 74q^{51} - 25q^{52} + 10q^{53} + 111q^{54} - 10q^{55} - 196q^{56} - 5q^{57} - 21q^{58} + 65q^{59} + 87q^{60} + 3q^{61} - 54q^{62} - 35q^{63} - 28q^{64} - q^{65} - 110q^{66} + 135q^{67} - 158q^{68} + 42q^{69} + 44q^{70} + 9q^{71} - 133q^{72} + 31q^{73} - 97q^{74} - 315q^{75} - 177q^{76} + 6q^{77} - 25q^{78} + 43q^{79} - 20q^{80} - 259q^{81} + 96q^{82} + 59q^{83} + 285q^{84} + 6q^{85} + 95q^{86} - 206q^{87} + 228q^{88} + 43q^{89} - 61q^{90} - 7q^{91} + 53q^{92} - 10q^{93} - 36q^{94} - 17q^{95} + 277q^{96} + 66q^{97} + 260q^{98} - 206q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.01838 + 0.694320i 0.720104 + 0.490959i 0.867072 0.498183i \(-0.165999\pi\)
−0.146968 + 0.989141i \(0.546951\pi\)
\(3\) 0.670270 + 0.621920i 0.386981 + 0.359066i 0.849541 0.527522i \(-0.176879\pi\)
−0.462561 + 0.886588i \(0.653069\pi\)
\(4\) −0.175663 0.447582i −0.0878316 0.223791i
\(5\) 0.228303 0.0704221i 0.102100 0.0314937i −0.243284 0.969955i \(-0.578225\pi\)
0.345384 + 0.938461i \(0.387749\pi\)
\(6\) 0.250779 + 1.09873i 0.102380 + 0.448556i
\(7\) 2.28590 + 1.33217i 0.863988 + 0.503513i
\(8\) 0.680410 2.98107i 0.240561 1.05397i
\(9\) −0.161712 2.15790i −0.0539042 0.719301i
\(10\) 0.281395 + 0.0867987i 0.0889848 + 0.0274482i
\(11\) −0.0880881 + 1.17545i −0.0265596 + 0.354413i 0.968053 + 0.250747i \(0.0806763\pi\)
−0.994612 + 0.103666i \(0.966943\pi\)
\(12\) 0.160619 0.409249i 0.0463666 0.118140i
\(13\) 0.900969 0.433884i 0.249884 0.120338i
\(14\) 1.40296 + 2.94380i 0.374957 + 0.786764i
\(15\) 0.196821 + 0.0947842i 0.0508191 + 0.0244732i
\(16\) 2.05780 1.90936i 0.514451 0.477341i
\(17\) 4.17595 0.629424i 1.01282 0.152658i 0.378395 0.925644i \(-0.376476\pi\)
0.634423 + 0.772986i \(0.281238\pi\)
\(18\) 1.33359 2.30985i 0.314330 0.544436i
\(19\) 1.03747 + 1.79696i 0.238013 + 0.412250i 0.960144 0.279506i \(-0.0901707\pi\)
−0.722131 + 0.691756i \(0.756837\pi\)
\(20\) −0.0716241 0.0898137i −0.0160156 0.0200830i
\(21\) 0.703666 + 2.31456i 0.153553 + 0.505078i
\(22\) −0.905849 + 1.13590i −0.193128 + 0.242175i
\(23\) 0.137468 + 0.0207200i 0.0286641 + 0.00432041i 0.163359 0.986567i \(-0.447767\pi\)
−0.134695 + 0.990887i \(0.543005\pi\)
\(24\) 2.31005 1.57496i 0.471536 0.321488i
\(25\) −4.08403 + 2.78445i −0.816806 + 0.556889i
\(26\) 1.21878 + 0.183702i 0.239023 + 0.0360269i
\(27\) 2.94393 3.69157i 0.566559 0.710442i
\(28\) 0.194708 1.25714i 0.0367963 0.237577i
\(29\) 1.31913 + 1.65414i 0.244957 + 0.307166i 0.889076 0.457759i \(-0.151348\pi\)
−0.644120 + 0.764925i \(0.722776\pi\)
\(30\) 0.134629 + 0.233183i 0.0245797 + 0.0425733i
\(31\) −0.459726 + 0.796269i −0.0825692 + 0.143014i −0.904353 0.426786i \(-0.859646\pi\)
0.821784 + 0.569800i \(0.192979\pi\)
\(32\) −2.62583 + 0.395780i −0.464185 + 0.0699647i
\(33\) −0.790081 + 0.733088i −0.137535 + 0.127614i
\(34\) 4.68973 + 2.25846i 0.804283 + 0.387322i
\(35\) 0.615691 + 0.143160i 0.104071 + 0.0241985i
\(36\) −0.937433 + 0.451444i −0.156239 + 0.0752406i
\(37\) −1.24872 + 3.18169i −0.205289 + 0.523067i −0.996023 0.0890920i \(-0.971603\pi\)
0.790735 + 0.612159i \(0.209699\pi\)
\(38\) −0.191120 + 2.55033i −0.0310038 + 0.413717i
\(39\) 0.873733 + 0.269511i 0.139909 + 0.0431563i
\(40\) −0.0545937 0.728503i −0.00863203 0.115186i
\(41\) −1.38906 + 6.08589i −0.216935 + 0.950456i 0.742792 + 0.669522i \(0.233501\pi\)
−0.959727 + 0.280933i \(0.909356\pi\)
\(42\) −0.890444 + 2.84567i −0.137399 + 0.439097i
\(43\) −2.52719 11.0723i −0.385392 1.68851i −0.680256 0.732975i \(-0.738131\pi\)
0.294863 0.955539i \(-0.404726\pi\)
\(44\) 0.541587 0.167057i 0.0816473 0.0251848i
\(45\) −0.188883 0.481267i −0.0281571 0.0717431i
\(46\) 0.125609 + 0.116548i 0.0185200 + 0.0171840i
\(47\) −5.15190 3.51250i −0.751481 0.512351i 0.125960 0.992035i \(-0.459799\pi\)
−0.877441 + 0.479684i \(0.840751\pi\)
\(48\) 2.56675 0.370479
\(49\) 3.45065 + 6.09040i 0.492950 + 0.870058i
\(50\) −6.09240 −0.861595
\(51\) 3.19047 + 2.17522i 0.446755 + 0.304592i
\(52\) −0.352466 0.327040i −0.0488782 0.0453523i
\(53\) 3.19646 + 8.14446i 0.439068 + 1.11873i 0.963603 + 0.267338i \(0.0861441\pi\)
−0.524535 + 0.851389i \(0.675761\pi\)
\(54\) 5.56117 1.71539i 0.756779 0.233435i
\(55\) 0.0626672 + 0.274563i 0.00845004 + 0.0370220i
\(56\) 5.52664 5.90800i 0.738528 0.789490i
\(57\) −0.422176 + 1.84967i −0.0559185 + 0.244995i
\(58\) 0.194876 + 2.60044i 0.0255885 + 0.341455i
\(59\) −1.16986 0.360854i −0.152303 0.0469792i 0.217666 0.976023i \(-0.430156\pi\)
−0.369969 + 0.929044i \(0.620632\pi\)
\(60\) 0.00784947 0.104744i 0.00101336 0.0135224i
\(61\) 1.30595 3.32750i 0.167210 0.426043i −0.822567 0.568668i \(-0.807459\pi\)
0.989777 + 0.142625i \(0.0455542\pi\)
\(62\) −1.02104 + 0.491708i −0.129672 + 0.0624469i
\(63\) 2.50503 5.14817i 0.315605 0.648609i
\(64\) −8.00724 3.85608i −1.00091 0.482011i
\(65\) 0.175139 0.162505i 0.0217233 0.0201563i
\(66\) −1.31360 + 0.197994i −0.161693 + 0.0243713i
\(67\) −4.41526 + 7.64745i −0.539409 + 0.934285i 0.459526 + 0.888164i \(0.348019\pi\)
−0.998936 + 0.0461205i \(0.985314\pi\)
\(68\) −1.01528 1.75852i −0.123121 0.213252i
\(69\) 0.0792546 + 0.0993821i 0.00954113 + 0.0119642i
\(70\) 0.527609 + 0.573278i 0.0630613 + 0.0685199i
\(71\) −4.30503 + 5.39833i −0.510913 + 0.640664i −0.968652 0.248422i \(-0.920088\pi\)
0.457739 + 0.889086i \(0.348659\pi\)
\(72\) −6.54289 0.986183i −0.771087 0.116223i
\(73\) 10.1521 6.92162i 1.18822 0.810114i 0.202627 0.979256i \(-0.435052\pi\)
0.985592 + 0.169142i \(0.0540997\pi\)
\(74\) −3.48079 + 2.37316i −0.404633 + 0.275874i
\(75\) −4.46911 0.673609i −0.516048 0.0777817i
\(76\) 0.622040 0.780014i 0.0713529 0.0894737i
\(77\) −1.76726 + 2.56962i −0.201399 + 0.292835i
\(78\) 0.702666 + 0.881116i 0.0795613 + 0.0997667i
\(79\) −6.45930 11.1878i −0.726729 1.25873i −0.958259 0.285903i \(-0.907706\pi\)
0.231530 0.972828i \(-0.425627\pi\)
\(80\) 0.335341 0.580827i 0.0374923 0.0649385i
\(81\) −2.15027 + 0.324101i −0.238919 + 0.0360112i
\(82\) −5.64015 + 5.23329i −0.622850 + 0.577921i
\(83\) −12.4973 6.01839i −1.37176 0.660604i −0.404532 0.914524i \(-0.632566\pi\)
−0.967225 + 0.253920i \(0.918280\pi\)
\(84\) 0.912347 0.721531i 0.0995452 0.0787255i
\(85\) 0.909056 0.437778i 0.0986010 0.0474837i
\(86\) 5.11410 13.0305i 0.551468 1.40512i
\(87\) −0.144567 + 1.92911i −0.0154992 + 0.206823i
\(88\) 3.44418 + 1.06239i 0.367151 + 0.113251i
\(89\) 0.412037 + 5.49825i 0.0436758 + 0.582813i 0.975514 + 0.219938i \(0.0705856\pi\)
−0.931838 + 0.362875i \(0.881795\pi\)
\(90\) 0.141798 0.621259i 0.0149468 0.0654864i
\(91\) 2.63753 + 0.208429i 0.276488 + 0.0218493i
\(92\) −0.0148742 0.0651680i −0.00155074 0.00679424i
\(93\) −0.803356 + 0.247802i −0.0833041 + 0.0256959i
\(94\) −2.80779 7.15413i −0.289601 0.737892i
\(95\) 0.363403 + 0.337189i 0.0372844 + 0.0345949i
\(96\) −2.00616 1.36778i −0.204753 0.139598i
\(97\) −10.6154 −1.07783 −0.538914 0.842361i \(-0.681165\pi\)
−0.538914 + 0.842361i \(0.681165\pi\)
\(98\) −0.714613 + 8.59821i −0.0721869 + 0.868550i
\(99\) 2.55076 0.256361
\(100\) 1.96368 + 1.33882i 0.196368 + 0.133882i
\(101\) −7.89363 7.32421i −0.785445 0.728787i 0.181605 0.983372i \(-0.441871\pi\)
−0.967050 + 0.254585i \(0.918061\pi\)
\(102\) 1.73881 + 4.43041i 0.172168 + 0.438676i
\(103\) −5.38702 + 1.66167i −0.530799 + 0.163730i −0.548558 0.836113i \(-0.684823\pi\)
0.0177592 + 0.999842i \(0.494347\pi\)
\(104\) −0.680410 2.98107i −0.0667197 0.292318i
\(105\) 0.323645 + 0.478866i 0.0315845 + 0.0467326i
\(106\) −2.39965 + 10.5135i −0.233074 + 1.02116i
\(107\) 1.01307 + 13.5185i 0.0979375 + 1.30688i 0.802247 + 0.596992i \(0.203638\pi\)
−0.704310 + 0.709893i \(0.748743\pi\)
\(108\) −2.16942 0.669177i −0.208752 0.0643916i
\(109\) −0.803961 + 10.7281i −0.0770055 + 1.02757i 0.816156 + 0.577831i \(0.196101\pi\)
−0.893162 + 0.449736i \(0.851518\pi\)
\(110\) −0.126816 + 0.323121i −0.0120914 + 0.0308083i
\(111\) −2.81574 + 1.35599i −0.267258 + 0.128705i
\(112\) 7.24752 1.62326i 0.684826 0.153384i
\(113\) −7.06456 3.40211i −0.664578 0.320044i 0.0710074 0.997476i \(-0.477379\pi\)
−0.735586 + 0.677432i \(0.763093\pi\)
\(114\) −1.71420 + 1.59055i −0.160550 + 0.148968i
\(115\) 0.0328435 0.00495036i 0.00306267 0.000461623i
\(116\) 0.508641 0.880991i 0.0472261 0.0817980i
\(117\) −1.08198 1.87404i −0.100029 0.173255i
\(118\) −0.940814 1.17974i −0.0866090 0.108604i
\(119\) 10.3843 + 4.12428i 0.951927 + 0.378072i
\(120\) 0.416478 0.522246i 0.0380190 0.0476744i
\(121\) 9.50321 + 1.43238i 0.863928 + 0.130216i
\(122\) 3.64031 2.48192i 0.329578 0.224702i
\(123\) −4.71598 + 3.21530i −0.425226 + 0.289914i
\(124\) 0.437153 + 0.0658902i 0.0392575 + 0.00591711i
\(125\) −1.48112 + 1.85727i −0.132475 + 0.166119i
\(126\) 6.12556 3.50350i 0.545708 0.312117i
\(127\) −0.436979 0.547954i −0.0387756 0.0486231i 0.762066 0.647500i \(-0.224185\pi\)
−0.800841 + 0.598877i \(0.795614\pi\)
\(128\) −2.82158 4.88711i −0.249395 0.431964i
\(129\) 5.19220 8.99316i 0.457148 0.791803i
\(130\) 0.291188 0.0438896i 0.0255389 0.00384937i
\(131\) 13.2019 12.2496i 1.15345 1.07025i 0.156874 0.987619i \(-0.449858\pi\)
0.996580 0.0826309i \(-0.0263323\pi\)
\(132\) 0.466906 + 0.224850i 0.0406389 + 0.0195707i
\(133\) −0.0222927 + 5.48975i −0.00193302 + 0.476022i
\(134\) −9.80619 + 4.72241i −0.847126 + 0.407954i
\(135\) 0.412139 1.05011i 0.0354712 0.0903792i
\(136\) 0.965004 12.8771i 0.0827484 1.10420i
\(137\) −7.94398 2.45039i −0.678700 0.209351i −0.0638078 0.997962i \(-0.520324\pi\)
−0.614893 + 0.788611i \(0.710801\pi\)
\(138\) 0.0117083 + 0.156237i 0.000996680 + 0.0132998i
\(139\) 2.28436 10.0084i 0.193757 0.848905i −0.780803 0.624777i \(-0.785190\pi\)
0.974560 0.224127i \(-0.0719532\pi\)
\(140\) −0.0440782 0.300720i −0.00372528 0.0254155i
\(141\) −1.26867 5.55839i −0.106841 0.468101i
\(142\) −8.13233 + 2.50849i −0.682450 + 0.210508i
\(143\) 0.430646 + 1.09727i 0.0360124 + 0.0917582i
\(144\) −4.45299 4.13177i −0.371083 0.344314i
\(145\) 0.417649 + 0.284748i 0.0346839 + 0.0236471i
\(146\) 15.1446 1.25337
\(147\) −1.47487 + 6.22824i −0.121646 + 0.513697i
\(148\) 1.64342 0.135089
\(149\) −13.8292 9.42860i −1.13293 0.772421i −0.156380 0.987697i \(-0.549982\pi\)
−0.976553 + 0.215276i \(0.930935\pi\)
\(150\) −4.08355 3.78898i −0.333421 0.309369i
\(151\) 4.14440 + 10.5598i 0.337267 + 0.859341i 0.994411 + 0.105577i \(0.0336688\pi\)
−0.657145 + 0.753765i \(0.728236\pi\)
\(152\) 6.06276 1.87012i 0.491755 0.151686i
\(153\) −2.03354 8.90952i −0.164402 0.720292i
\(154\) −3.58389 + 1.38980i −0.288798 + 0.111994i
\(155\) −0.0488818 + 0.214165i −0.00392628 + 0.0172022i
\(156\) −0.0328543 0.438411i −0.00263045 0.0351010i
\(157\) 14.3218 + 4.41769i 1.14301 + 0.352570i 0.807732 0.589550i \(-0.200695\pi\)
0.335274 + 0.942121i \(0.391171\pi\)
\(158\) 1.18992 15.8783i 0.0946646 1.26321i
\(159\) −2.92271 + 7.44693i −0.231786 + 0.590580i
\(160\) −0.571612 + 0.275274i −0.0451899 + 0.0217623i
\(161\) 0.286635 + 0.230494i 0.0225900 + 0.0181655i
\(162\) −2.41482 1.16292i −0.189726 0.0913675i
\(163\) 16.2065 15.0375i 1.26939 1.17782i 0.294378 0.955689i \(-0.404888\pi\)
0.975016 0.222136i \(-0.0713028\pi\)
\(164\) 2.96794 0.447345i 0.231757 0.0349318i
\(165\) −0.128752 + 0.223005i −0.0100233 + 0.0173609i
\(166\) −8.54833 14.8061i −0.663479 1.14918i
\(167\) 2.04089 + 2.55919i 0.157929 + 0.198036i 0.854500 0.519451i \(-0.173864\pi\)
−0.696572 + 0.717487i \(0.745292\pi\)
\(168\) 7.37864 0.522831i 0.569275 0.0403373i
\(169\) 0.623490 0.781831i 0.0479608 0.0601409i
\(170\) 1.22972 + 0.185351i 0.0943155 + 0.0142158i
\(171\) 3.70989 2.52936i 0.283702 0.193425i
\(172\) −4.51185 + 3.07612i −0.344025 + 0.234552i
\(173\) −4.52241 0.681644i −0.343833 0.0518244i −0.0251438 0.999684i \(-0.508004\pi\)
−0.318689 + 0.947859i \(0.603242\pi\)
\(174\) −1.48665 + 1.86420i −0.112702 + 0.141324i
\(175\) −13.0450 + 0.924335i −0.986111 + 0.0698732i
\(176\) 2.06310 + 2.58705i 0.155512 + 0.195006i
\(177\) −0.559700 0.969428i −0.0420696 0.0728667i
\(178\) −3.39793 + 5.88540i −0.254686 + 0.441129i
\(179\) −13.9889 + 2.10849i −1.04558 + 0.157596i −0.649298 0.760534i \(-0.724937\pi\)
−0.396280 + 0.918130i \(0.629699\pi\)
\(180\) −0.182227 + 0.169082i −0.0135824 + 0.0126026i
\(181\) 5.74917 + 2.76865i 0.427332 + 0.205792i 0.635172 0.772371i \(-0.280929\pi\)
−0.207840 + 0.978163i \(0.566643\pi\)
\(182\) 2.54129 + 2.04355i 0.188373 + 0.151478i
\(183\) 2.94478 1.41813i 0.217684 0.104831i
\(184\) 0.155302 0.395704i 0.0114490 0.0291717i
\(185\) −0.0610253 + 0.814326i −0.00448667 + 0.0598705i
\(186\) −0.990176 0.305429i −0.0726033 0.0223951i
\(187\) 0.372007 + 4.96409i 0.0272039 + 0.363010i
\(188\) −0.667136 + 2.92292i −0.0486559 + 0.213175i
\(189\) 11.6473 4.51673i 0.847216 0.328544i
\(190\) 0.135966 + 0.595705i 0.00986400 + 0.0432170i
\(191\) −23.9927 + 7.40076i −1.73605 + 0.535500i −0.991274 0.131817i \(-0.957919\pi\)
−0.744774 + 0.667317i \(0.767443\pi\)
\(192\) −2.96884 7.56448i −0.214258 0.545919i
\(193\) 13.6112 + 12.6294i 0.979759 + 0.909084i 0.995870 0.0907866i \(-0.0289381\pi\)
−0.0161113 + 0.999870i \(0.505129\pi\)
\(194\) −10.8105 7.37047i −0.776148 0.529169i
\(195\) 0.218455 0.0156439
\(196\) 2.11980 2.61431i 0.151415 0.186736i
\(197\) −9.51748 −0.678092 −0.339046 0.940770i \(-0.610104\pi\)
−0.339046 + 0.940770i \(0.610104\pi\)
\(198\) 2.59765 + 1.77105i 0.184607 + 0.125863i
\(199\) 15.8048 + 14.6647i 1.12037 + 1.03955i 0.998897 + 0.0469585i \(0.0149529\pi\)
0.121475 + 0.992595i \(0.461238\pi\)
\(200\) 5.52181 + 14.0694i 0.390451 + 0.994853i
\(201\) −7.71551 + 2.37992i −0.544210 + 0.167867i
\(202\) −2.95337 12.9395i −0.207798 0.910423i
\(203\) 0.811807 + 5.53850i 0.0569777 + 0.388726i
\(204\) 0.413144 1.81010i 0.0289259 0.126733i
\(205\) 0.111454 + 1.48725i 0.00778426 + 0.103874i
\(206\) −6.63977 2.04810i −0.462615 0.142698i
\(207\) 0.0224814 0.299993i 0.00156257 0.0208510i
\(208\) 1.02558 2.61312i 0.0711109 0.181188i
\(209\) −2.20363 + 1.06121i −0.152428 + 0.0734056i
\(210\) −0.00289282 + 0.712381i −0.000199624 + 0.0491590i
\(211\) −9.99720 4.81440i −0.688236 0.331437i 0.0568716 0.998382i \(-0.481887\pi\)
−0.745107 + 0.666945i \(0.767602\pi\)
\(212\) 3.08382 2.86136i 0.211797 0.196519i
\(213\) −6.24286 + 0.940959i −0.427754 + 0.0644735i
\(214\) −8.35449 + 14.4704i −0.571101 + 0.989176i
\(215\) −1.35670 2.34987i −0.0925262 0.160260i
\(216\) −9.00174 11.2878i −0.612491 0.768040i
\(217\) −2.11165 + 1.20776i −0.143348 + 0.0819878i
\(218\) −8.26749 + 10.3671i −0.559945 + 0.702149i
\(219\) 11.1094 + 1.67447i 0.750702 + 0.113150i
\(220\) 0.111881 0.0762793i 0.00754303 0.00514275i
\(221\) 3.48931 2.37897i 0.234716 0.160027i
\(222\) −3.80898 0.574112i −0.255642 0.0385319i
\(223\) 8.22941 10.3194i 0.551082 0.691035i −0.425799 0.904818i \(-0.640007\pi\)
0.976881 + 0.213783i \(0.0685784\pi\)
\(224\) −6.52962 2.59334i −0.436279 0.173275i
\(225\) 6.66900 + 8.36266i 0.444600 + 0.557511i
\(226\) −4.83226 8.36972i −0.321437 0.556745i
\(227\) −9.05441 + 15.6827i −0.600962 + 1.04090i 0.391713 + 0.920087i \(0.371883\pi\)
−0.992676 + 0.120810i \(0.961451\pi\)
\(228\) 0.902041 0.135961i 0.0597391 0.00900423i
\(229\) 14.5507 13.5010i 0.961534 0.892173i −0.0326935 0.999465i \(-0.510409\pi\)
0.994228 + 0.107292i \(0.0342180\pi\)
\(230\) 0.0368843 + 0.0177625i 0.00243208 + 0.00117123i
\(231\) −2.78264 + 0.623243i −0.183084 + 0.0410063i
\(232\) 5.82866 2.80693i 0.382670 0.184284i
\(233\) −3.11464 + 7.93597i −0.204047 + 0.519903i −0.995864 0.0908553i \(-0.971040\pi\)
0.791817 + 0.610758i \(0.209135\pi\)
\(234\) 0.199319 2.65972i 0.0130299 0.173872i
\(235\) −1.42355 0.439107i −0.0928621 0.0286442i
\(236\) 0.0439894 + 0.586997i 0.00286346 + 0.0382103i
\(237\) 2.62846 11.5160i 0.170737 0.748048i
\(238\) 7.71160 + 11.4101i 0.499869 + 0.739608i
\(239\) 2.86082 + 12.5341i 0.185051 + 0.810762i 0.979177 + 0.203009i \(0.0650719\pi\)
−0.794126 + 0.607753i \(0.792071\pi\)
\(240\) 0.585997 0.180756i 0.0378259 0.0116678i
\(241\) 9.11131 + 23.2152i 0.586911 + 1.49543i 0.847939 + 0.530094i \(0.177843\pi\)
−0.261028 + 0.965331i \(0.584061\pi\)
\(242\) 8.68335 + 8.05697i 0.558187 + 0.517922i
\(243\) −13.3466 9.09953i −0.856182 0.583735i
\(244\) −1.71874 −0.110031
\(245\) 1.21669 + 1.14745i 0.0777316 + 0.0733081i
\(246\) −7.03511 −0.448542
\(247\) 1.71440 + 1.16886i 0.109085 + 0.0743727i
\(248\) 2.06093 + 1.91227i 0.130869 + 0.121429i
\(249\) −4.63362 11.8063i −0.293644 0.748192i
\(250\) −2.79788 + 0.863033i −0.176954 + 0.0545830i
\(251\) −0.410425 1.79819i −0.0259058 0.113501i 0.960322 0.278894i \(-0.0899678\pi\)
−0.986228 + 0.165393i \(0.947111\pi\)
\(252\) −2.74427 0.216865i −0.172873 0.0136612i
\(253\) −0.0364647 + 0.159762i −0.00229252 + 0.0100442i
\(254\) −0.0645552 0.861429i −0.00405055 0.0540509i
\(255\) 0.881576 + 0.271930i 0.0552065 + 0.0170289i
\(256\) −0.808525 + 10.7890i −0.0505328 + 0.674313i
\(257\) −7.18442 + 18.3056i −0.448152 + 1.14187i 0.511151 + 0.859491i \(0.329219\pi\)
−0.959302 + 0.282381i \(0.908876\pi\)
\(258\) 11.5318 5.55341i 0.717937 0.345740i
\(259\) −7.09300 + 5.60951i −0.440738 + 0.348558i
\(260\) −0.103500 0.0498429i −0.00641878 0.00309112i
\(261\) 3.35615 3.11405i 0.207741 0.192755i
\(262\) 21.9497 3.30838i 1.35606 0.204392i
\(263\) −3.26791 + 5.66018i −0.201508 + 0.349022i −0.949014 0.315233i \(-0.897917\pi\)
0.747507 + 0.664254i \(0.231251\pi\)
\(264\) 1.64781 + 2.85409i 0.101416 + 0.175657i
\(265\) 1.30331 + 1.63430i 0.0800618 + 0.100394i
\(266\) −3.83435 + 5.57518i −0.235099 + 0.341836i
\(267\) −3.14329 + 3.94156i −0.192366 + 0.241220i
\(268\) 4.19846 + 0.632816i 0.256462 + 0.0386554i
\(269\) 6.08714 4.15014i 0.371140 0.253039i −0.363359 0.931649i \(-0.618370\pi\)
0.734498 + 0.678611i \(0.237418\pi\)
\(270\) 1.14883 0.783258i 0.0699155 0.0476675i
\(271\) 2.19908 + 0.331458i 0.133585 + 0.0201346i 0.215494 0.976505i \(-0.430864\pi\)
−0.0819096 + 0.996640i \(0.526102\pi\)
\(272\) 7.39149 9.26864i 0.448175 0.561994i
\(273\) 1.63823 + 1.78004i 0.0991502 + 0.107733i
\(274\) −6.38864 8.01110i −0.385952 0.483969i
\(275\) −2.91323 5.04587i −0.175675 0.304277i
\(276\) 0.0305596 0.0529307i 0.00183947 0.00318605i
\(277\) −8.86683 + 1.33646i −0.532756 + 0.0803001i −0.409911 0.912126i \(-0.634440\pi\)
−0.122846 + 0.992426i \(0.539202\pi\)
\(278\) 9.27541 8.60633i 0.556302 0.516173i
\(279\) 1.79261 + 0.863277i 0.107321 + 0.0516831i
\(280\) 0.845693 1.73801i 0.0505398 0.103866i
\(281\) 26.8323 12.9218i 1.60068 0.770847i 0.601083 0.799187i \(-0.294736\pi\)
0.999598 + 0.0283393i \(0.00902188\pi\)
\(282\) 2.56732 6.54142i 0.152882 0.389536i
\(283\) −0.870572 + 11.6170i −0.0517501 + 0.690558i 0.909645 + 0.415386i \(0.136354\pi\)
−0.961395 + 0.275171i \(0.911265\pi\)
\(284\) 3.17243 + 0.978566i 0.188249 + 0.0580672i
\(285\) 0.0338739 + 0.452016i 0.00200652 + 0.0267751i
\(286\) −0.323294 + 1.41644i −0.0191168 + 0.0837560i
\(287\) −11.2827 + 12.0612i −0.665996 + 0.711953i
\(288\) 1.27868 + 5.60228i 0.0753472 + 0.330118i
\(289\) 0.797680 0.246052i 0.0469224 0.0144736i
\(290\) 0.227619 + 0.579965i 0.0133663 + 0.0340567i
\(291\) −7.11517 6.60191i −0.417099 0.387011i
\(292\) −4.88135 3.32805i −0.285659 0.194759i
\(293\) 11.8604 0.692891 0.346445 0.938070i \(-0.387389\pi\)
0.346445 + 0.938070i \(0.387389\pi\)
\(294\) −5.82638 + 5.31869i −0.339801 + 0.310192i
\(295\) −0.292494 −0.0170297
\(296\) 8.63521 + 5.88738i 0.501911 + 0.342197i
\(297\) 4.07994 + 3.78563i 0.236742 + 0.219665i
\(298\) −7.53694 19.2038i −0.436603 1.11245i
\(299\) 0.132844 0.0409771i 0.00768260 0.00236977i
\(300\) 0.483561 + 2.11862i 0.0279184 + 0.122319i
\(301\) 8.97332 28.6768i 0.517214 1.65291i
\(302\) −3.11128 + 13.6314i −0.179034 + 0.784399i
\(303\) −0.735788 9.81840i −0.0422699 0.564053i
\(304\) 5.56596 + 1.71687i 0.319230 + 0.0984693i
\(305\) 0.0638220 0.851646i 0.00365444 0.0487651i
\(306\) 4.11514 10.4852i 0.235247 0.599400i
\(307\) 2.45831 1.18386i 0.140303 0.0675663i −0.362415 0.932017i \(-0.618048\pi\)
0.502718 + 0.864450i \(0.332333\pi\)
\(308\) 1.46056 + 0.339609i 0.0832231 + 0.0193510i
\(309\) −4.64418 2.23652i −0.264198 0.127231i
\(310\) −0.198480 + 0.184162i −0.0112729 + 0.0104597i
\(311\) 13.5538 2.04290i 0.768564 0.115842i 0.246955 0.969027i \(-0.420570\pi\)
0.521609 + 0.853185i \(0.325332\pi\)
\(312\) 1.39793 2.42128i 0.0791421 0.137078i
\(313\) −10.9634 18.9892i −0.619690 1.07333i −0.989542 0.144244i \(-0.953925\pi\)
0.369852 0.929091i \(-0.379408\pi\)
\(314\) 11.5178 + 14.4428i 0.649985 + 0.815056i
\(315\) 0.209361 1.35175i 0.0117962 0.0761626i
\(316\) −3.87282 + 4.85636i −0.217863 + 0.273192i
\(317\) 8.41416 + 1.26823i 0.472586 + 0.0712309i 0.381017 0.924568i \(-0.375574\pi\)
0.0915688 + 0.995799i \(0.470812\pi\)
\(318\) −8.14698 + 5.55452i −0.456860 + 0.311482i
\(319\) −2.06057 + 1.40487i −0.115369 + 0.0786576i
\(320\) −2.09963 0.316468i −0.117373 0.0176911i
\(321\) −7.72840 + 9.69111i −0.431357 + 0.540905i
\(322\) 0.131867 + 0.433748i 0.00734866 + 0.0241718i
\(323\) 5.46349 + 6.85100i 0.303997 + 0.381200i
\(324\) 0.522785 + 0.905490i 0.0290436 + 0.0503050i
\(325\) −2.47146 + 4.28069i −0.137092 + 0.237450i
\(326\) 26.9452 4.06134i 1.49236 0.224937i
\(327\) −7.21090 + 6.69074i −0.398764 + 0.369999i
\(328\) 17.1973 + 8.28180i 0.949564 + 0.457286i
\(329\) −7.09746 14.8924i −0.391295 0.821045i
\(330\) −0.285956 + 0.137709i −0.0157413 + 0.00758063i
\(331\) 2.87313 7.32061i 0.157921 0.402377i −0.829912 0.557895i \(-0.811609\pi\)
0.987833 + 0.155517i \(0.0497045\pi\)
\(332\) −0.498407 + 6.65078i −0.0273537 + 0.365009i
\(333\) 7.06772 + 2.18010i 0.387308 + 0.119469i
\(334\) 0.301502 + 4.02326i 0.0164974 + 0.220143i
\(335\) −0.469466 + 2.05687i −0.0256497 + 0.112379i
\(336\) 5.86734 + 3.41935i 0.320089 + 0.186541i
\(337\) −0.971168 4.25496i −0.0529029 0.231783i 0.941564 0.336834i \(-0.109356\pi\)
−0.994467 + 0.105052i \(0.966499\pi\)
\(338\) 1.17779 0.363301i 0.0640634 0.0197609i
\(339\) −2.61932 6.67393i −0.142262 0.362478i
\(340\) −0.355630 0.329976i −0.0192867 0.0178955i
\(341\) −0.895481 0.610529i −0.0484930 0.0330620i
\(342\) 5.53426 0.299259
\(343\) −0.225613 + 18.5189i −0.0121820 + 0.999926i
\(344\) −34.7269 −1.87235
\(345\) 0.0250927 + 0.0171079i 0.00135095 + 0.000921060i
\(346\) −4.13226 3.83417i −0.222152 0.206127i
\(347\) −3.14785 8.02059i −0.168985 0.430568i 0.821145 0.570720i \(-0.193336\pi\)
−0.990130 + 0.140153i \(0.955241\pi\)
\(348\) 0.888833 0.274169i 0.0476464 0.0146970i
\(349\) −4.06329 17.8024i −0.217503 0.952943i −0.959316 0.282336i \(-0.908891\pi\)
0.741813 0.670607i \(-0.233966\pi\)
\(350\) −13.9266 8.11610i −0.744408 0.433824i
\(351\) 1.05067 4.60331i 0.0560809 0.245706i
\(352\) −0.233917 3.12141i −0.0124678 0.166371i
\(353\) 29.5163 + 9.10458i 1.57099 + 0.484588i 0.953349 0.301869i \(-0.0976105\pi\)
0.617645 + 0.786457i \(0.288087\pi\)
\(354\) 0.103106 1.37586i 0.00548004 0.0731260i
\(355\) −0.602687 + 1.53562i −0.0319873 + 0.0815024i
\(356\) 2.38854 1.15026i 0.126592 0.0609637i
\(357\) 4.39532 + 9.22258i 0.232625 + 0.488111i
\(358\) −15.7100 7.56553i −0.830298 0.399850i
\(359\) −10.9347 + 10.1459i −0.577112 + 0.535481i −0.913816 0.406129i \(-0.866878\pi\)
0.336704 + 0.941611i \(0.390688\pi\)
\(360\) −1.56321 + 0.235616i −0.0823884 + 0.0124180i
\(361\) 7.34730 12.7259i 0.386700 0.669784i
\(362\) 3.93251 + 6.81130i 0.206688 + 0.357994i
\(363\) 5.47889 + 6.87031i 0.287567 + 0.360598i
\(364\) −0.370027 1.21712i −0.0193947 0.0637947i
\(365\) 1.83033 2.29516i 0.0958037 0.120134i
\(366\) 3.98354 + 0.600422i 0.208223 + 0.0313846i
\(367\) 11.6720 7.95785i 0.609275 0.415396i −0.218995 0.975726i \(-0.570278\pi\)
0.828270 + 0.560330i \(0.189326\pi\)
\(368\) 0.322444 0.219839i 0.0168086 0.0114599i
\(369\) 13.3574 + 2.01330i 0.695357 + 0.104808i
\(370\) −0.627550 + 0.786923i −0.0326248 + 0.0409102i
\(371\) −3.54301 + 22.8756i −0.183944 + 1.18764i
\(372\) 0.252032 + 0.316038i 0.0130673 + 0.0163858i
\(373\) 3.46731 + 6.00555i 0.179530 + 0.310956i 0.941720 0.336398i \(-0.109209\pi\)
−0.762189 + 0.647354i \(0.775876\pi\)
\(374\) −3.06782 + 5.31363i −0.158633 + 0.274761i
\(375\) −2.14782 + 0.323732i −0.110913 + 0.0167175i
\(376\) −13.9764 + 12.9682i −0.720779 + 0.668785i
\(377\) 1.90620 + 0.917978i 0.0981743 + 0.0472783i
\(378\) 14.9974 + 3.48720i 0.771385 + 0.179362i
\(379\) −5.01970 + 2.41736i −0.257844 + 0.124171i −0.558341 0.829612i \(-0.688562\pi\)
0.300497 + 0.953783i \(0.402848\pi\)
\(380\) 0.0870833 0.221885i 0.00446728 0.0113824i
\(381\) 0.0478897 0.639043i 0.00245346 0.0327392i
\(382\) −29.5722 9.12181i −1.51304 0.466712i
\(383\) 1.85291 + 24.7254i 0.0946794 + 1.26341i 0.818938 + 0.573881i \(0.194563\pi\)
−0.724259 + 0.689528i \(0.757818\pi\)
\(384\) 1.14817 5.03048i 0.0585925 0.256711i
\(385\) −0.222513 + 0.711106i −0.0113403 + 0.0362413i
\(386\) 5.09259 + 22.3121i 0.259206 + 1.13566i
\(387\) −23.4843 + 7.24396i −1.19378 + 0.368231i
\(388\) 1.86473 + 4.75126i 0.0946673 + 0.241208i
\(389\) 15.1018 + 14.0124i 0.765692 + 0.710458i 0.962887 0.269906i \(-0.0869927\pi\)
−0.197195 + 0.980364i \(0.563183\pi\)
\(390\) 0.222471 + 0.151678i 0.0112652 + 0.00768051i
\(391\) 0.587102 0.0296910
\(392\) 20.5038 6.14267i 1.03560 0.310251i
\(393\) 16.4671 0.830654
\(394\) −9.69242 6.60818i −0.488297 0.332915i
\(395\) −2.26255 2.09934i −0.113841 0.105629i
\(396\) −0.448075 1.14168i −0.0225166 0.0573714i
\(397\) 23.8475 7.35597i 1.19687 0.369185i 0.368639 0.929573i \(-0.379824\pi\)
0.828231 + 0.560387i \(0.189348\pi\)
\(398\) 5.91329 + 25.9078i 0.296407 + 1.29864i
\(399\) −3.42913 + 3.66575i −0.171671 + 0.183517i
\(400\) −3.08762 + 13.5277i −0.154381 + 0.676387i
\(401\) −0.968438 12.9229i −0.0483615 0.645339i −0.967738 0.251960i \(-0.918925\pi\)
0.919376 0.393379i \(-0.128694\pi\)
\(402\) −9.50976 2.93337i −0.474304 0.146303i
\(403\) −0.0687107 + 0.916881i −0.00342273 + 0.0456731i
\(404\) −1.89157 + 4.81964i −0.0941091 + 0.239786i
\(405\) −0.468089 + 0.225420i −0.0232595 + 0.0112012i
\(406\) −3.01876 + 6.20395i −0.149819 + 0.307897i
\(407\) −3.62994 1.74809i −0.179929 0.0866494i
\(408\) 8.65533 8.03097i 0.428502 0.397592i
\(409\) 5.81197 0.876013i 0.287383 0.0433161i −0.00376864 0.999993i \(-0.501200\pi\)
0.291152 + 0.956677i \(0.405962\pi\)
\(410\) −0.919122 + 1.59197i −0.0453922 + 0.0786216i
\(411\) −3.80067 6.58295i −0.187473 0.324713i
\(412\) 1.69004 + 2.11924i 0.0832621 + 0.104407i
\(413\) −2.19346 2.38333i −0.107933 0.117276i
\(414\) 0.231186 0.289898i 0.0113622 0.0142477i
\(415\) −3.27700 0.493928i −0.160861 0.0242460i
\(416\) −2.19407 + 1.49589i −0.107573 + 0.0733420i
\(417\) 7.75559 5.28767i 0.379793 0.258938i
\(418\) −2.98096 0.449307i −0.145803 0.0219763i
\(419\) 7.52921 9.44133i 0.367826 0.461239i −0.563131 0.826367i \(-0.690403\pi\)
0.930957 + 0.365128i \(0.118975\pi\)
\(420\) 0.157480 0.228977i 0.00768422 0.0111729i
\(421\) 8.95349 + 11.2273i 0.436366 + 0.547186i 0.950581 0.310475i \(-0.100488\pi\)
−0.514215 + 0.857661i \(0.671917\pi\)
\(422\) −6.83822 11.8441i −0.332879 0.576564i
\(423\) −6.74651 + 11.6853i −0.328027 + 0.568159i
\(424\) 26.4541 3.98732i 1.28473 0.193641i
\(425\) −15.3021 + 14.1983i −0.742262 + 0.688719i
\(426\) −7.01093 3.37629i −0.339681 0.163582i
\(427\) 7.41806 5.86659i 0.358985 0.283904i
\(428\) 5.87269 2.82814i 0.283867 0.136703i
\(429\) −0.393764 + 1.00329i −0.0190111 + 0.0484394i
\(430\) 0.249927 3.33505i 0.0120526 0.160830i
\(431\) 12.5012 + 3.85612i 0.602164 + 0.185743i 0.580824 0.814029i \(-0.302731\pi\)
0.0213401 + 0.999772i \(0.493207\pi\)
\(432\) −0.990518 13.2175i −0.0476563 0.635929i
\(433\) 2.48537 10.8891i 0.119439 0.523297i −0.879442 0.476006i \(-0.842084\pi\)
0.998881 0.0472909i \(-0.0150588\pi\)
\(434\) −2.98903 0.236207i −0.143478 0.0113383i
\(435\) 0.102847 + 0.450603i 0.00493114 + 0.0216047i
\(436\) 4.94294 1.52470i 0.236724 0.0730197i
\(437\) 0.105387 + 0.268521i 0.00504132 + 0.0128451i
\(438\) 10.1510 + 9.41871i 0.485031 + 0.450043i
\(439\) −22.8505 15.5792i −1.09059 0.743554i −0.122081 0.992520i \(-0.538957\pi\)
−0.968512 + 0.248966i \(0.919909\pi\)
\(440\) 0.861131 0.0410528
\(441\) 12.5845 8.43106i 0.599261 0.401479i
\(442\) 5.20521 0.247587
\(443\) −12.6756 8.64208i −0.602236 0.410598i 0.223460 0.974713i \(-0.428265\pi\)
−0.825696 + 0.564115i \(0.809217\pi\)
\(444\) 1.10154 + 1.02208i 0.0522767 + 0.0485057i
\(445\) 0.481267 + 1.22625i 0.0228142 + 0.0581298i
\(446\) 15.5456 4.79519i 0.736106 0.227059i
\(447\) −3.40548 14.9204i −0.161073 0.705709i
\(448\) −13.1668 19.4816i −0.622072 0.920420i
\(449\) −1.49461 + 6.54831i −0.0705349 + 0.309034i −0.997873 0.0651915i \(-0.979234\pi\)
0.927338 + 0.374225i \(0.122091\pi\)
\(450\) 0.985216 + 13.1468i 0.0464435 + 0.619746i
\(451\) −7.03132 2.16888i −0.331092 0.102128i
\(452\) −0.281743 + 3.75960i −0.0132521 + 0.176837i
\(453\) −3.78946 + 9.65538i −0.178044 + 0.453649i
\(454\) −20.1097 + 9.68430i −0.943793 + 0.454507i
\(455\) 0.616833 0.138155i 0.0289176 0.00647682i
\(456\) 5.22675 + 2.51707i 0.244765 + 0.117873i
\(457\) 11.5055 10.6755i 0.538203 0.499379i −0.363583 0.931562i \(-0.618447\pi\)
0.901786 + 0.432182i \(0.142256\pi\)
\(458\) 24.1921 3.64638i 1.13042 0.170384i
\(459\) 9.97014 17.2688i 0.465366 0.806038i
\(460\) −0.00798508 0.0138306i −0.000372306 0.000644854i
\(461\) −14.2253 17.8380i −0.662539 0.830798i 0.331078 0.943603i \(-0.392588\pi\)
−0.993617 + 0.112805i \(0.964016\pi\)
\(462\) −3.26652 1.29735i −0.151972 0.0603580i
\(463\) 10.0609 12.6160i 0.467570 0.586315i −0.491004 0.871157i \(-0.663370\pi\)
0.958574 + 0.284843i \(0.0919414\pi\)
\(464\) 5.87286 + 0.885192i 0.272641 + 0.0410940i
\(465\) −0.165958 + 0.113148i −0.00769610 + 0.00524711i
\(466\) −8.68199 + 5.91928i −0.402186 + 0.274205i
\(467\) −14.5923 2.19944i −0.675253 0.101778i −0.197541 0.980295i \(-0.563296\pi\)
−0.477712 + 0.878517i \(0.658534\pi\)
\(468\) −0.648723 + 0.813473i −0.0299873 + 0.0376028i
\(469\) −20.2805 + 11.5994i −0.936467 + 0.535611i
\(470\) −1.14483 1.43558i −0.0528073 0.0662182i
\(471\) 6.85203 + 11.8681i 0.315725 + 0.546852i
\(472\) −1.87172 + 3.24191i −0.0861527 + 0.149221i
\(473\) 13.2376 1.99525i 0.608667 0.0917418i
\(474\) 10.6726 9.90273i 0.490209 0.454847i
\(475\) −9.24060 4.45004i −0.423988 0.204182i
\(476\) 0.0218158 5.37231i 0.000999925 0.246240i
\(477\) 17.0580 8.21472i 0.781034 0.376126i
\(478\) −5.78926 + 14.7508i −0.264795 + 0.674685i
\(479\) 1.80796 24.1256i 0.0826079 1.10233i −0.789741 0.613441i \(-0.789785\pi\)
0.872348 0.488885i \(-0.162596\pi\)
\(480\) −0.554333 0.170989i −0.0253017 0.00780455i
\(481\) 0.255425 + 3.40841i 0.0116464 + 0.155410i
\(482\) −6.84003 + 29.9681i −0.311555 + 1.36501i
\(483\) 0.0487740 + 0.332758i 0.00221930 + 0.0151410i
\(484\) −1.02826 4.50508i −0.0467389 0.204777i
\(485\) −2.42352 + 0.747557i −0.110046 + 0.0339448i
\(486\) −7.27389 18.5336i −0.329950 0.840700i
\(487\) −14.5409 13.4920i −0.658912 0.611381i 0.278153 0.960537i \(-0.410278\pi\)
−0.937065 + 0.349156i \(0.886468\pi\)
\(488\) −9.03094 6.15719i −0.408812 0.278723i
\(489\) 20.2148 0.914147
\(490\) 0.442355 + 2.01332i 0.0199836 + 0.0909525i
\(491\) 17.0305 0.768577 0.384288 0.923213i \(-0.374447\pi\)
0.384288 + 0.923213i \(0.374447\pi\)
\(492\) 2.26754 + 1.54598i 0.102228 + 0.0696982i
\(493\) 6.54979 + 6.07732i 0.294988 + 0.273709i
\(494\) 0.934351 + 2.38069i 0.0420384 + 0.107112i
\(495\) 0.582346 0.179630i 0.0261745 0.00807377i
\(496\) 0.574340 + 2.51635i 0.0257886 + 0.112987i
\(497\) −17.0323 + 6.60501i −0.764005 + 0.296275i
\(498\) 3.47854 15.2405i 0.155877 0.682943i
\(499\) −1.21550 16.2197i −0.0544133 0.726096i −0.955976 0.293446i \(-0.905198\pi\)
0.901562 0.432649i \(-0.142421\pi\)
\(500\) 1.09146 + 0.336670i 0.0488115 + 0.0150564i
\(501\) −0.223666 + 2.98462i −0.00999267 + 0.133343i
\(502\) 0.830551 2.11621i 0.0370693 0.0944511i
\(503\) 19.8867 9.57692i 0.886703 0.427014i 0.0656347 0.997844i \(-0.479093\pi\)
0.821068 + 0.570830i \(0.193378\pi\)
\(504\) −13.6426 10.9706i −0.607691 0.488667i
\(505\) −2.31792 1.11625i −0.103146 0.0496726i
\(506\) −0.148061 + 0.137381i −0.00658212 + 0.00610732i
\(507\) 0.904143 0.136278i 0.0401544 0.00605230i
\(508\) −0.168494 + 0.291839i −0.00747569 + 0.0129483i
\(509\) 17.0539 + 29.5382i 0.755900 + 1.30926i 0.944926 + 0.327285i \(0.106134\pi\)
−0.189026 + 0.981972i \(0.560533\pi\)
\(510\) 0.708974 + 0.889025i 0.0313939 + 0.0393667i
\(511\) 32.4275 2.29773i 1.43451 0.101645i
\(512\) −15.3513 + 19.2499i −0.678439 + 0.850735i
\(513\) 9.68783 + 1.46021i 0.427728 + 0.0644696i
\(514\) −20.0264 + 13.6538i −0.883328 + 0.602243i
\(515\) −1.11285 + 0.758730i −0.0490381 + 0.0334336i
\(516\) −4.93726 0.744172i −0.217351 0.0327603i
\(517\) 4.58261 5.74641i 0.201543 0.252727i
\(518\) −11.1182 + 0.787804i −0.488505 + 0.0346141i
\(519\) −2.60731 3.26946i −0.114448 0.143513i
\(520\) −0.365273 0.632671i −0.0160183 0.0277445i
\(521\) −18.1829 + 31.4937i −0.796608 + 1.37976i 0.125206 + 0.992131i \(0.460041\pi\)
−0.921813 + 0.387634i \(0.873292\pi\)
\(522\) 5.57999 0.841048i 0.244230 0.0368117i
\(523\) −0.431802 + 0.400653i −0.0188814 + 0.0175193i −0.689557 0.724231i \(-0.742195\pi\)
0.670676 + 0.741751i \(0.266004\pi\)
\(524\) −7.80178 3.75714i −0.340822 0.164131i
\(525\) −9.31855 7.49341i −0.406695 0.327039i
\(526\) −7.25795 + 3.49525i −0.316462 + 0.152400i
\(527\) −1.41860 + 3.61454i −0.0617954 + 0.157452i
\(528\) −0.226101 + 3.01710i −0.00983977 + 0.131303i
\(529\) −21.9597 6.77367i −0.954770 0.294507i
\(530\) 0.192539 + 2.56926i 0.00836337 + 0.111601i
\(531\) −0.589507 + 2.58280i −0.0255824 + 0.112084i
\(532\) 2.46103 0.954369i 0.106699 0.0413771i
\(533\) 1.38906 + 6.08589i 0.0601670 + 0.263609i
\(534\) −5.93778 + 1.83156i −0.256953 + 0.0792594i
\(535\) 1.18329 + 3.01497i 0.0511581 + 0.130349i
\(536\) 19.7934 + 18.3656i 0.854945 + 0.793273i
\(537\) −10.6876 7.28671i −0.461206 0.314445i
\(538\) 9.08056 0.391491
\(539\) −7.46295 + 3.51959i −0.321452 + 0.151600i
\(540\) −0.542409 −0.0233416
\(541\) −22.7428 15.5058i −0.977789 0.666645i −0.0347739 0.999395i \(-0.511071\pi\)
−0.943015 + 0.332750i \(0.892023\pi\)
\(542\) 2.00936 + 1.86442i 0.0863095 + 0.0800835i
\(543\) 2.13161 + 5.43126i 0.0914763 + 0.233078i
\(544\) −10.7162 + 3.30552i −0.459454 + 0.141723i
\(545\) 0.571950 + 2.50588i 0.0244996 + 0.107340i
\(546\) 0.432428 + 2.95021i 0.0185062 + 0.126257i
\(547\) 3.76752 16.5066i 0.161087 0.705770i −0.828278 0.560318i \(-0.810679\pi\)
0.989365 0.145453i \(-0.0464638\pi\)
\(548\) 0.298712 + 3.98603i 0.0127603 + 0.170275i
\(549\) −7.39162 2.28001i −0.315467 0.0973085i
\(550\) 0.536668 7.16133i 0.0228836 0.305360i
\(551\) −1.60385 + 4.08655i −0.0683264 + 0.174093i
\(552\) 0.350191 0.168643i 0.0149051 0.00717792i
\(553\) 0.138794 34.1791i 0.00590212 1.45345i
\(554\) −9.95774 4.79540i −0.423064 0.203737i
\(555\) −0.547349 + 0.507866i −0.0232337 + 0.0215577i
\(556\) −4.88088 + 0.735674i −0.206995 + 0.0311995i
\(557\) 10.9018 18.8825i 0.461926 0.800079i −0.537131 0.843499i \(-0.680492\pi\)
0.999057 + 0.0434200i \(0.0138254\pi\)
\(558\) 1.22617 + 2.12379i 0.0519080 + 0.0899074i
\(559\) −7.08102 8.87932i −0.299495 0.375555i
\(560\) 1.54032 0.880981i 0.0650902 0.0372282i
\(561\) −2.83792 + 3.55864i −0.119817 + 0.150246i
\(562\) 36.2973 + 5.47094i 1.53111 + 0.230778i
\(563\) −18.7184 + 12.7620i −0.788886 + 0.537854i −0.889426 0.457079i \(-0.848896\pi\)
0.100539 + 0.994933i \(0.467943\pi\)
\(564\) −2.26498 + 1.54424i −0.0953729 + 0.0650241i
\(565\) −1.85244 0.279211i −0.0779329 0.0117465i
\(566\) −8.95248 + 11.2261i −0.376301 + 0.471866i
\(567\) −5.34705 2.12366i −0.224555 0.0891854i
\(568\) 13.1636 + 16.5067i 0.552334 + 0.692604i
\(569\) −13.2657 22.9769i −0.556127 0.963241i −0.997815 0.0660719i \(-0.978953\pi\)
0.441688 0.897169i \(-0.354380\pi\)
\(570\) −0.279347 + 0.483843i −0.0117006 + 0.0202660i
\(571\) −15.7172 + 2.36899i −0.657745 + 0.0991391i −0.469430 0.882970i \(-0.655541\pi\)
−0.188315 + 0.982109i \(0.560303\pi\)
\(572\) 0.415469 0.385499i 0.0173716 0.0161185i
\(573\) −20.6842 9.96101i −0.864097 0.416127i
\(574\) −19.8644 + 4.44914i −0.829126 + 0.185703i
\(575\) −0.619117 + 0.298151i −0.0258190 + 0.0124338i
\(576\) −7.02619 + 17.9024i −0.292758 + 0.745935i
\(577\) −0.191934 + 2.56118i −0.00799032 + 0.106623i −0.999773 0.0213115i \(-0.993216\pi\)
0.991783 + 0.127935i \(0.0408349\pi\)
\(578\) 0.983181 + 0.303271i 0.0408950 + 0.0126144i
\(579\) 1.26874 + 16.9302i 0.0527272 + 0.703595i
\(580\) 0.0540828 0.236952i 0.00224567 0.00983891i
\(581\) −20.5500 30.4059i −0.852560 1.26145i
\(582\) −2.66211 11.6635i −0.110348 0.483466i
\(583\) −9.85501 + 3.03987i −0.408153 + 0.125899i
\(584\) −13.7262 34.9738i −0.567994 1.44723i
\(585\) −0.378992 0.351653i −0.0156694 0.0145391i
\(586\) 12.0784 + 8.23490i 0.498953 + 0.340181i
\(587\) −28.3611 −1.17059 −0.585294 0.810821i \(-0.699021\pi\)
−0.585294 + 0.810821i \(0.699021\pi\)
\(588\) 3.04673 0.433945i 0.125645 0.0178956i
\(589\) −1.90781 −0.0786101
\(590\) −0.297871 0.203085i −0.0122631 0.00836086i
\(591\) −6.37928 5.91911i −0.262409 0.243480i
\(592\) 3.50538 + 8.93156i 0.144070 + 0.367085i
\(593\) −19.7698 + 6.09817i −0.811848 + 0.250422i −0.672762 0.739859i \(-0.734892\pi\)
−0.139085 + 0.990280i \(0.544416\pi\)
\(594\) 1.52649 + 6.68800i 0.0626328 + 0.274412i
\(595\) 2.66120 + 0.210300i 0.109099 + 0.00862147i
\(596\) −1.79079 + 7.84597i −0.0733537 + 0.321383i
\(597\) 1.47321 + 19.6586i 0.0602945 + 0.804574i
\(598\) 0.163738 + 0.0505063i 0.00669573 + 0.00206536i
\(599\) 0.146665 1.95710i 0.00599256 0.0799651i −0.993406 0.114653i \(-0.963425\pi\)
0.999398 + 0.0346875i \(0.0110436\pi\)
\(600\) −5.04890 + 12.8644i −0.206121 + 0.525187i
\(601\) 30.2092 14.5480i 1.23226 0.593424i 0.299558 0.954078i \(-0.403161\pi\)
0.932700 + 0.360654i \(0.117446\pi\)
\(602\) 29.0492 22.9736i 1.18396 0.936333i
\(603\) 17.2165 + 8.29101i 0.701108 + 0.337636i
\(604\) 3.99834 3.70992i 0.162690 0.150955i
\(605\) 2.27048 0.342220i 0.0923081 0.0139132i
\(606\) 6.06781 10.5097i 0.246488 0.426929i
\(607\) −12.6992 21.9956i −0.515443 0.892774i −0.999839 0.0179251i \(-0.994294\pi\)
0.484396 0.874849i \(-0.339039\pi\)
\(608\) −3.43543 4.30789i −0.139325 0.174708i
\(609\) −2.90037 + 4.21717i −0.117529 + 0.170888i
\(610\) 0.656310 0.822987i 0.0265732 0.0333218i
\(611\) −6.16572 0.929332i −0.249438 0.0375968i
\(612\) −3.63053 + 2.47525i −0.146755 + 0.100056i
\(613\) 16.2268 11.0633i 0.655395 0.446841i −0.189422 0.981896i \(-0.560661\pi\)
0.844817 + 0.535055i \(0.179709\pi\)
\(614\) 3.32547 + 0.501234i 0.134205 + 0.0202281i
\(615\) −0.850243 + 1.06617i −0.0342851 + 0.0429922i
\(616\) 6.45776 + 7.01674i 0.260190 + 0.282712i
\(617\) 8.00173 + 10.0339i 0.322138 + 0.403948i 0.916361 0.400352i \(-0.131112\pi\)
−0.594224 + 0.804300i \(0.702541\pi\)
\(618\) −3.17669 5.50218i −0.127785 0.221330i
\(619\) −10.3127 + 17.8621i −0.414503 + 0.717940i −0.995376 0.0960543i \(-0.969378\pi\)
0.580873 + 0.813994i \(0.302711\pi\)
\(620\) 0.104443 0.0157423i 0.00419454 0.000632226i
\(621\) 0.481185 0.446474i 0.0193093 0.0179164i
\(622\) 15.2213 + 7.33021i 0.610320 + 0.293915i
\(623\) −6.38272 + 13.1173i −0.255718 + 0.525535i
\(624\) 2.31257 1.11367i 0.0925767 0.0445826i
\(625\) 8.82190 22.4778i 0.352876 0.899114i
\(626\) 2.01965 26.9504i 0.0807216 1.07715i
\(627\) −2.13702 0.659182i −0.0853442 0.0263252i
\(628\) −0.538533 7.18622i −0.0214898 0.286761i
\(629\) −3.21197 + 14.0726i −0.128070 + 0.561110i
\(630\) 1.15176 1.23123i 0.0458871 0.0490535i
\(631\) 4.76601 + 20.8813i 0.189732 + 0.831270i 0.976757 + 0.214349i \(0.0687629\pi\)
−0.787025 + 0.616921i \(0.788380\pi\)
\(632\) −37.7467 + 11.6433i −1.50148 + 0.463147i
\(633\) −3.70665 9.44440i −0.147326 0.375381i
\(634\) 7.68826 + 7.13366i 0.305340 + 0.283314i
\(635\) −0.138352 0.0943265i −0.00549031 0.00374323i
\(636\) 3.84653 0.152525
\(637\) 5.75146 + 3.99008i 0.227881 + 0.158093i
\(638\) −3.07387 −0.121696
\(639\) 12.3453 + 8.41685i 0.488371 + 0.332965i
\(640\) −0.988334 0.917040i −0.0390673 0.0362492i
\(641\) −14.9458 38.0812i −0.590323 1.50412i −0.843735 0.536760i \(-0.819648\pi\)
0.253412 0.967358i \(-0.418447\pi\)
\(642\) −14.5992 + 4.50325i −0.576184 + 0.177729i
\(643\) −0.311315 1.36396i −0.0122771 0.0537893i 0.968418 0.249331i \(-0.0802107\pi\)
−0.980695 + 0.195542i \(0.937354\pi\)
\(644\) 0.0528140 0.168782i 0.00208116 0.00665095i
\(645\) 0.552077 2.41881i 0.0217380 0.0952405i
\(646\) 0.807125 + 10.7703i 0.0317559 + 0.423753i
\(647\) −7.88940 2.43356i −0.310164 0.0956731i 0.135765 0.990741i \(-0.456651\pi\)
−0.445930 + 0.895068i \(0.647127\pi\)
\(648\) −0.496897 + 6.63063i −0.0195200 + 0.260476i
\(649\) 0.527218 1.34333i 0.0206951 0.0527303i
\(650\) −5.48906 + 2.64339i −0.215299 + 0.103682i
\(651\) −2.16650 0.503755i −0.0849120 0.0197437i
\(652\) −9.57739 4.61223i −0.375080 0.180629i
\(653\) 20.5545 19.0718i 0.804358 0.746335i −0.166487 0.986044i \(-0.553242\pi\)
0.970845 + 0.239708i \(0.0770518\pi\)
\(654\) −11.9890 + 1.80704i −0.468805 + 0.0706610i
\(655\) 2.15139 3.72631i 0.0840617 0.145599i
\(656\) 8.76174 + 15.1758i 0.342089 + 0.592515i
\(657\) −16.5779 20.7880i −0.646766 0.811018i
\(658\) 3.11219 20.0941i 0.121326 0.783348i
\(659\) 15.3195 19.2100i 0.596763 0.748317i −0.388107 0.921614i \(-0.626871\pi\)
0.984870 + 0.173297i \(0.0554422\pi\)
\(660\) 0.122430 + 0.0184534i 0.00476559 + 0.000718297i
\(661\) −7.93579 + 5.41053i −0.308667 + 0.210445i −0.707739 0.706474i \(-0.750285\pi\)
0.399072 + 0.916919i \(0.369332\pi\)
\(662\) 8.00879 5.46030i 0.311271 0.212221i
\(663\) 3.81831 + 0.575517i 0.148291 + 0.0223512i
\(664\) −26.4445 + 33.1604i −1.02625 + 1.28687i
\(665\) 0.381510 + 1.25489i 0.0147943 + 0.0486627i
\(666\) 5.68394 + 7.12743i 0.220248 + 0.276182i
\(667\) 0.147065 + 0.254724i 0.00569437 + 0.00986294i
\(668\) 0.786940 1.36302i 0.0304476 0.0527369i
\(669\) 11.9337 1.79872i 0.461385 0.0695426i
\(670\) −1.90622 + 1.76871i −0.0736436 + 0.0683313i
\(671\) 3.79629 + 1.82820i 0.146554 + 0.0705768i
\(672\) −2.76376 5.79913i −0.106614 0.223706i
\(673\) 11.9763 5.76751i 0.461654 0.222321i −0.188575 0.982059i \(-0.560387\pi\)
0.650230 + 0.759738i \(0.274673\pi\)
\(674\) 1.96529 5.00747i 0.0757001 0.192881i
\(675\) −1.74412 + 23.2737i −0.0671312 + 0.895804i
\(676\) −0.459458 0.141724i −0.0176715 0.00545093i
\(677\) 2.16912 + 28.9449i 0.0833661 + 1.11244i 0.869350 + 0.494196i \(0.164538\pi\)
−0.785984 + 0.618246i \(0.787843\pi\)
\(678\) 1.96637 8.61525i 0.0755181 0.330867i
\(679\) −24.2657 14.1415i −0.931230 0.542700i
\(680\) −0.686518 3.00783i −0.0263268 0.115345i
\(681\) −15.8223 + 4.88053i −0.606311 + 0.187022i
\(682\) −0.488038 1.24350i −0.0186880 0.0476161i
\(683\) −22.6279 20.9956i −0.865833 0.803375i 0.115975 0.993252i \(-0.463001\pi\)
−0.981808 + 0.189877i \(0.939191\pi\)
\(684\) −1.78379 1.21616i −0.0682048 0.0465012i
\(685\) −1.98620 −0.0758886
\(686\) −13.0878 + 18.7026i −0.499694 + 0.714070i
\(687\) 18.1494 0.692444
\(688\) −26.3415 17.9594i −1.00426 0.684694i
\(689\) 6.41366 + 5.95101i 0.244341 + 0.226715i
\(690\) 0.0136756 + 0.0348448i 0.000520620 + 0.00132652i
\(691\) 33.5351 10.3442i 1.27573 0.393512i 0.418396 0.908265i \(-0.362592\pi\)
0.857339 + 0.514753i \(0.172116\pi\)
\(692\) 0.489329 + 2.14389i 0.0186015 + 0.0814985i
\(693\) 5.83078 + 3.39805i 0.221493 + 0.129081i
\(694\) 2.36315 10.3536i 0.0897039 0.393018i
\(695\) −0.183289 2.44582i −0.00695255 0.0927754i
\(696\) 5.65246 + 1.74355i 0.214256 + 0.0660892i
\(697\) −1.97006 + 26.2887i −0.0746215 + 0.995755i
\(698\) 8.22262 20.9509i 0.311231 0.793003i
\(699\) −7.02318 + 3.38219i −0.265641 + 0.127926i
\(700\) 2.70525 + 5.67635i 0.102249 + 0.214546i
\(701\) −23.1161 11.1321i −0.873081 0.420454i −0.0569887 0.998375i \(-0.518150\pi\)
−0.816093 + 0.577921i \(0.803864\pi\)
\(702\) 4.26616 3.95842i 0.161016 0.149401i
\(703\) −7.01288 + 1.05702i −0.264496 + 0.0398663i
\(704\) 5.23800 9.07247i 0.197414 0.341932i
\(705\) −0.681073 1.17965i −0.0256507 0.0444283i
\(706\) 23.7374 + 29.7657i 0.893367 + 1.12025i
\(707\) −8.28692 27.2580i −0.311662 1.02514i
\(708\) −0.335580 + 0.420805i −0.0126119 + 0.0158148i
\(709\) 6.97964 + 1.05201i 0.262126 + 0.0395091i 0.278790 0.960352i \(-0.410067\pi\)
−0.0166645 + 0.999861i \(0.505305\pi\)
\(710\) −1.67998 + 1.14539i −0.0630485 + 0.0429857i
\(711\) −23.0977 + 15.7478i −0.866233 + 0.590587i
\(712\) 16.6710 + 2.51275i 0.624773 + 0.0941694i
\(713\) −0.0796963 + 0.0999360i −0.00298465 + 0.00374263i
\(714\) −1.92732 + 12.4439i −0.0721282 + 0.465700i
\(715\) 0.175590 + 0.220182i 0.00656668 + 0.00823435i
\(716\) 3.40105 + 5.89080i 0.127103 + 0.220149i
\(717\) −5.87767 + 10.1804i −0.219505 + 0.380195i
\(718\) −18.1802 + 2.74023i −0.678480 + 0.102264i
\(719\) 6.57809 6.10358i 0.245321 0.227625i −0.547922 0.836529i \(-0.684581\pi\)
0.793244 + 0.608904i \(0.208391\pi\)
\(720\) −1.30760 0.629706i −0.0487313 0.0234678i
\(721\) −14.5278 3.37800i −0.541044 0.125803i
\(722\) 16.3182 7.85843i 0.607300 0.292460i
\(723\) −8.33098 + 21.2270i −0.309832 + 0.789440i
\(724\) 0.229283 3.05958i 0.00852125 0.113708i
\(725\) −9.99323 3.08250i −0.371139 0.114481i
\(726\) 0.809400 + 10.8007i 0.0300397 + 0.400851i
\(727\) −1.70962 + 7.49033i −0.0634062 + 0.277801i −0.996686 0.0813505i \(-0.974077\pi\)
0.933279 + 0.359151i \(0.116934\pi\)
\(728\) 2.41594 7.72084i 0.0895408 0.286153i
\(729\) −1.83497 8.03952i −0.0679617 0.297760i
\(730\) 3.45755 1.06651i 0.127970 0.0394734i
\(731\) −17.5226 44.6469i −0.648097 1.65132i
\(732\) −1.15202 1.06892i −0.0425799 0.0395083i
\(733\) 16.5409 + 11.2774i 0.610950 + 0.416539i 0.828881 0.559425i \(-0.188978\pi\)
−0.217930 + 0.975964i \(0.569931\pi\)
\(734\) 17.4119 0.642684
\(735\) 0.101888 + 1.52579i 0.00375820 + 0.0562796i
\(736\) −0.369168 −0.0136077
\(737\) −8.60030 5.86358i −0.316796 0.215988i
\(738\) 12.2050 + 11.3246i 0.449273 + 0.416865i
\(739\) −16.1536 41.1586i −0.594218 1.51404i −0.838814 0.544419i \(-0.816750\pi\)
0.244595 0.969625i \(-0.421345\pi\)
\(740\) 0.375198 0.115733i 0.0137926 0.00425444i
\(741\) 0.422176 + 1.84967i 0.0155090 + 0.0679494i
\(742\) −19.4911 + 20.8361i −0.715542 + 0.764918i
\(743\) 3.73508 16.3645i 0.137027 0.600354i −0.859052 0.511888i \(-0.828946\pi\)
0.996079 0.0884660i \(-0.0281965\pi\)
\(744\) 0.192105 + 2.56347i 0.00704292 + 0.0939813i
\(745\) −3.82123 1.17869i −0.139999 0.0431840i
\(746\) −0.638737 + 8.52336i −0.0233858 + 0.312062i
\(747\) −10.9661 + 27.9412i −0.401229 + 1.02232i
\(748\) 2.15649 1.03851i 0.0788491 0.0379717i
\(749\) −15.6932 + 32.2515i −0.573416 + 1.17845i
\(750\) −2.41207 1.16159i −0.0880765 0.0424154i
\(751\) 11.4693 10.6419i 0.418519 0.388329i −0.442611 0.896714i \(-0.645948\pi\)
0.861130 + 0.508385i \(0.169757\pi\)
\(752\) −17.3082 + 2.60880i −0.631166 + 0.0951330i
\(753\) 0.843235 1.46053i 0.0307292 0.0532245i
\(754\) 1.30387 + 2.25836i 0.0474841 + 0.0822448i
\(755\) 1.68982 + 2.11897i 0.0614988 + 0.0771170i
\(756\) −4.06761 4.41970i −0.147938 0.160743i
\(757\) 4.20248 5.26975i 0.152742 0.191532i −0.699573 0.714561i \(-0.746627\pi\)
0.852315 + 0.523029i \(0.175198\pi\)
\(758\) −6.79038 1.02349i −0.246638 0.0371747i
\(759\) −0.123801 + 0.0844058i −0.00449367 + 0.00306373i
\(760\) 1.25245 0.853905i 0.0454311 0.0309744i
\(761\) 15.3077 + 2.30726i 0.554903 + 0.0836382i 0.420507 0.907289i \(-0.361852\pi\)
0.134396 + 0.990928i \(0.457090\pi\)
\(762\) 0.492471 0.617539i 0.0178403 0.0223711i
\(763\) −16.1294 + 23.4524i −0.583925 + 0.849032i
\(764\) 7.52708 + 9.43865i 0.272320 + 0.341479i
\(765\) −1.09169 1.89086i −0.0394701 0.0683642i
\(766\) −15.2804 + 26.4664i −0.552103 + 0.956270i
\(767\) −1.21058 + 0.182465i −0.0437114 + 0.00658843i
\(768\) −7.25183 + 6.72872i −0.261678 + 0.242802i
\(769\) −10.6284 5.11835i −0.383269 0.184573i 0.232321 0.972639i \(-0.425368\pi\)
−0.615590 + 0.788067i \(0.711082\pi\)
\(770\) −0.720339 + 0.569681i −0.0259592 + 0.0205299i
\(771\) −16.2001 + 7.80156i −0.583433 + 0.280966i
\(772\) 3.26170 8.31067i 0.117391 0.299108i
\(773\) 3.03140