Properties

Label 637.2.bl.b.53.13
Level $637$
Weight $2$
Character 637.53
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 53.13
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.b.625.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.296505 - 0.202154i) q^{2} +(1.23401 + 1.14499i) q^{3} +(-0.683633 - 1.74187i) q^{4} +(1.06645 - 0.328957i) q^{5} +(-0.134425 - 0.588954i) q^{6} +(2.51862 - 0.810284i) q^{7} +(-0.309133 + 1.35440i) q^{8} +(-0.0124224 - 0.165766i) q^{9} +O(q^{10})\) \(q+(-0.296505 - 0.202154i) q^{2} +(1.23401 + 1.14499i) q^{3} +(-0.683633 - 1.74187i) q^{4} +(1.06645 - 0.328957i) q^{5} +(-0.134425 - 0.588954i) q^{6} +(2.51862 - 0.810284i) q^{7} +(-0.309133 + 1.35440i) q^{8} +(-0.0124224 - 0.165766i) q^{9} +(-0.382709 - 0.118050i) q^{10} +(0.480500 - 6.41182i) q^{11} +(1.15081 - 2.93223i) q^{12} +(-0.900969 + 0.433884i) q^{13} +(-0.910585 - 0.268895i) q^{14} +(1.69266 + 0.815143i) q^{15} +(-2.37794 + 2.20641i) q^{16} +(-6.27369 + 0.945606i) q^{17} +(-0.0298268 + 0.0516616i) q^{18} +(-0.779506 - 1.35014i) q^{19} +(-1.30206 - 1.63274i) q^{20} +(4.03575 + 1.88390i) q^{21} +(-1.43864 + 1.80400i) q^{22} +(5.97501 + 0.900588i) q^{23} +(-1.93224 + 1.31738i) q^{24} +(-3.10208 + 2.11497i) q^{25} +(0.354853 + 0.0534855i) q^{26} +(3.32318 - 4.16714i) q^{27} +(-3.13322 - 3.83317i) q^{28} +(2.37316 + 2.97585i) q^{29} +(-0.337098 - 0.583872i) q^{30} +(2.08186 - 3.60589i) q^{31} +(3.89853 - 0.587609i) q^{32} +(7.93441 - 7.36206i) q^{33} +(2.05134 + 0.987872i) q^{34} +(2.41944 - 1.69265i) q^{35} +(-0.280250 + 0.134961i) q^{36} +(-3.54457 + 9.03142i) q^{37} +(-0.0418092 + 0.557904i) q^{38} +(-1.60859 - 0.496185i) q^{39} +(0.115864 + 1.54609i) q^{40} +(1.28397 - 5.62545i) q^{41} +(-0.815784 - 1.37443i) q^{42} +(-1.79284 - 7.85494i) q^{43} +(-11.4970 + 3.54637i) q^{44} +(-0.0677778 - 0.172695i) q^{45} +(-1.58956 - 1.47490i) q^{46} +(7.59796 + 5.18020i) q^{47} -5.46071 q^{48} +(5.68688 - 4.08159i) q^{49} +1.34733 q^{50} +(-8.82447 - 6.01642i) q^{51} +(1.37170 + 1.27275i) q^{52} +(3.49245 + 8.89862i) q^{53} +(-1.82774 + 0.563784i) q^{54} +(-1.59679 - 6.99597i) q^{55} +(0.318860 + 3.66170i) q^{56} +(0.583986 - 2.55861i) q^{57} +(-0.102075 - 1.36210i) q^{58} +(3.91641 + 1.20805i) q^{59} +(0.262712 - 3.50565i) q^{60} +(1.70007 - 4.33172i) q^{61} +(-1.34622 + 0.648308i) q^{62} +(-0.165605 - 0.407435i) q^{63} +(4.57058 + 2.20107i) q^{64} +(-0.818112 + 0.759097i) q^{65} +(-3.84086 + 0.578916i) q^{66} +(-0.455470 + 0.788898i) q^{67} +(5.93602 + 10.2815i) q^{68} +(6.34203 + 7.95265i) q^{69} +(-1.05955 + 0.0127796i) q^{70} +(-6.92638 + 8.68541i) q^{71} +(0.228353 + 0.0344187i) q^{72} +(6.64006 - 4.52712i) q^{73} +(2.87672 - 1.96131i) q^{74} +(-6.24960 - 0.941976i) q^{75} +(-1.81888 + 2.28080i) q^{76} +(-3.98520 - 16.5383i) q^{77} +(0.376650 + 0.472304i) q^{78} +(3.13622 + 5.43209i) q^{79} +(-1.81015 + 3.13528i) q^{80} +(8.37903 - 1.26294i) q^{81} +(-1.51791 + 1.40841i) q^{82} +(11.0683 + 5.33020i) q^{83} +(0.522527 - 8.31765i) q^{84} +(-6.37953 + 3.07222i) q^{85} +(-1.05632 + 2.69146i) q^{86} +(-0.478824 + 6.38946i) q^{87} +(8.53563 + 2.63289i) q^{88} +(0.125789 + 1.67853i) q^{89} +(-0.0148145 + 0.0649064i) q^{90} +(-1.91763 + 1.82283i) q^{91} +(-2.51601 - 11.0234i) q^{92} +(6.69773 - 2.06598i) q^{93} +(-1.20564 - 3.07191i) q^{94} +(-1.27545 - 1.18344i) q^{95} +(5.48362 + 3.73867i) q^{96} -12.3898 q^{97} +(-2.51130 + 0.0605882i) q^{98} -1.06883 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 348 q + 3 q^{2} + 31 q^{4} + q^{5} - 4 q^{6} + 27 q^{7} - 12 q^{8} + 13 q^{9} + O(q^{10}) \) \( 348 q + 3 q^{2} + 31 q^{4} + q^{5} - 4 q^{6} + 27 q^{7} - 12 q^{8} + 13 q^{9} - 5 q^{10} + 2 q^{11} - 40 q^{12} - 58 q^{13} - 45 q^{14} - 14 q^{15} + 27 q^{16} - 12 q^{17} - 59 q^{18} - 24 q^{19} - 99 q^{20} - 2 q^{21} - 10 q^{22} - 14 q^{23} + 28 q^{25} + 3 q^{26} - 9 q^{27} - 37 q^{28} - 26 q^{29} - 83 q^{30} - 49 q^{31} + 33 q^{32} + 2 q^{33} - 130 q^{34} - 38 q^{35} - 74 q^{36} - 4 q^{37} + 92 q^{38} + 24 q^{40} + 20 q^{41} - 52 q^{42} + 2 q^{43} + 226 q^{44} - 23 q^{45} + 71 q^{46} + 24 q^{47} + 86 q^{48} + 25 q^{49} + 114 q^{50} - 54 q^{51} + 31 q^{52} + 36 q^{53} + 75 q^{54} + 38 q^{55} + 126 q^{56} + 27 q^{57} - 33 q^{58} + q^{59} - 179 q^{60} - 15 q^{61} + 158 q^{62} - 5 q^{63} - 24 q^{64} + q^{65} - 150 q^{66} - 151 q^{67} + 140 q^{68} - 98 q^{69} - 126 q^{70} - 31 q^{71} - 149 q^{72} - 9 q^{73} + 39 q^{74} + 85 q^{75} - 81 q^{76} + 46 q^{77} - 25 q^{78} - 69 q^{79} - 64 q^{80} + 71 q^{81} - 52 q^{82} - q^{83} - 47 q^{84} + 62 q^{85} + 97 q^{86} + 150 q^{87} - 12 q^{88} + 23 q^{89} + 107 q^{90} - q^{91} - 43 q^{92} + 316 q^{93} - 86 q^{94} - 29 q^{95} + 177 q^{96} + 114 q^{97} - 336 q^{98} + 102 q^{99} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.296505 0.202154i −0.209661 0.142944i 0.453937 0.891034i \(-0.350019\pi\)
−0.663598 + 0.748089i \(0.730971\pi\)
\(3\) 1.23401 + 1.14499i 0.712453 + 0.661060i 0.950688 0.310148i \(-0.100378\pi\)
−0.238235 + 0.971207i \(0.576569\pi\)
\(4\) −0.683633 1.74187i −0.341816 0.870934i
\(5\) 1.06645 0.328957i 0.476932 0.147114i −0.0469632 0.998897i \(-0.514954\pi\)
0.523896 + 0.851782i \(0.324478\pi\)
\(6\) −0.134425 0.588954i −0.0548787 0.240439i
\(7\) 2.51862 0.810284i 0.951948 0.306258i
\(8\) −0.309133 + 1.35440i −0.109295 + 0.478852i
\(9\) −0.0124224 0.165766i −0.00414081 0.0552552i
\(10\) −0.382709 0.118050i −0.121023 0.0373307i
\(11\) 0.480500 6.41182i 0.144876 1.93324i −0.172641 0.984985i \(-0.555230\pi\)
0.317517 0.948253i \(-0.397151\pi\)
\(12\) 1.15081 2.93223i 0.332211 0.846461i
\(13\) −0.900969 + 0.433884i −0.249884 + 0.120338i
\(14\) −0.910585 0.268895i −0.243364 0.0718652i
\(15\) 1.69266 + 0.815143i 0.437043 + 0.210469i
\(16\) −2.37794 + 2.20641i −0.594486 + 0.551603i
\(17\) −6.27369 + 0.945606i −1.52159 + 0.229343i −0.856002 0.516973i \(-0.827059\pi\)
−0.665591 + 0.746316i \(0.731821\pi\)
\(18\) −0.0298268 + 0.0516616i −0.00703025 + 0.0121768i
\(19\) −0.779506 1.35014i −0.178831 0.309744i 0.762649 0.646812i \(-0.223898\pi\)
−0.941480 + 0.337068i \(0.890565\pi\)
\(20\) −1.30206 1.63274i −0.291150 0.365091i
\(21\) 4.03575 + 1.88390i 0.880674 + 0.411100i
\(22\) −1.43864 + 1.80400i −0.306720 + 0.384615i
\(23\) 5.97501 + 0.900588i 1.24588 + 0.187786i 0.738686 0.674049i \(-0.235446\pi\)
0.507189 + 0.861835i \(0.330685\pi\)
\(24\) −1.93224 + 1.31738i −0.394418 + 0.268909i
\(25\) −3.10208 + 2.11497i −0.620417 + 0.422993i
\(26\) 0.354853 + 0.0534855i 0.0695924 + 0.0104894i
\(27\) 3.32318 4.16714i 0.639547 0.801966i
\(28\) −3.13322 3.83317i −0.592123 0.724400i
\(29\) 2.37316 + 2.97585i 0.440685 + 0.552602i 0.951724 0.306956i \(-0.0993105\pi\)
−0.511038 + 0.859558i \(0.670739\pi\)
\(30\) −0.337098 0.583872i −0.0615455 0.106600i
\(31\) 2.08186 3.60589i 0.373913 0.647636i −0.616251 0.787550i \(-0.711349\pi\)
0.990164 + 0.139914i \(0.0446825\pi\)
\(32\) 3.89853 0.587609i 0.689170 0.103876i
\(33\) 7.93441 7.36206i 1.38120 1.28157i
\(34\) 2.05134 + 0.987872i 0.351801 + 0.169419i
\(35\) 2.41944 1.69265i 0.408960 0.286110i
\(36\) −0.280250 + 0.134961i −0.0467083 + 0.0224935i
\(37\) −3.54457 + 9.03142i −0.582724 + 1.48476i 0.270243 + 0.962792i \(0.412896\pi\)
−0.852967 + 0.521965i \(0.825199\pi\)
\(38\) −0.0418092 + 0.557904i −0.00678234 + 0.0905040i
\(39\) −1.60859 0.496185i −0.257581 0.0794532i
\(40\) 0.115864 + 1.54609i 0.0183197 + 0.244459i
\(41\) 1.28397 5.62545i 0.200523 0.878548i −0.770096 0.637927i \(-0.779792\pi\)
0.970619 0.240620i \(-0.0773509\pi\)
\(42\) −0.815784 1.37443i −0.125878 0.212079i
\(43\) −1.79284 7.85494i −0.273405 1.19787i −0.905964 0.423354i \(-0.860853\pi\)
0.632559 0.774512i \(-0.282005\pi\)
\(44\) −11.4970 + 3.54637i −1.73324 + 0.534635i
\(45\) −0.0677778 0.172695i −0.0101037 0.0257438i
\(46\) −1.58956 1.47490i −0.234368 0.217462i
\(47\) 7.59796 + 5.18020i 1.10828 + 0.755610i 0.971981 0.235058i \(-0.0755280\pi\)
0.136295 + 0.990668i \(0.456480\pi\)
\(48\) −5.46071 −0.788186
\(49\) 5.68688 4.08159i 0.812412 0.583084i
\(50\) 1.34733 0.190541
\(51\) −8.82447 6.01642i −1.23567 0.842468i
\(52\) 1.37170 + 1.27275i 0.190221 + 0.176499i
\(53\) 3.49245 + 8.89862i 0.479725 + 1.22232i 0.942009 + 0.335588i \(0.108935\pi\)
−0.462284 + 0.886732i \(0.652970\pi\)
\(54\) −1.82774 + 0.563784i −0.248724 + 0.0767213i
\(55\) −1.59679 6.99597i −0.215311 0.943337i
\(56\) 0.318860 + 3.66170i 0.0426094 + 0.489315i
\(57\) 0.583986 2.55861i 0.0773509 0.338896i
\(58\) −0.102075 1.36210i −0.0134031 0.178852i
\(59\) 3.91641 + 1.20805i 0.509874 + 0.157275i 0.539009 0.842300i \(-0.318799\pi\)
−0.0291348 + 0.999575i \(0.509275\pi\)
\(60\) 0.262712 3.50565i 0.0339160 0.452578i
\(61\) 1.70007 4.33172i 0.217672 0.554620i −0.779772 0.626063i \(-0.784665\pi\)
0.997445 + 0.0714433i \(0.0227605\pi\)
\(62\) −1.34622 + 0.648308i −0.170971 + 0.0823352i
\(63\) −0.165605 0.407435i −0.0208642 0.0513320i
\(64\) 4.57058 + 2.20107i 0.571322 + 0.275134i
\(65\) −0.818112 + 0.759097i −0.101474 + 0.0941544i
\(66\) −3.84086 + 0.578916i −0.472777 + 0.0712597i
\(67\) −0.455470 + 0.788898i −0.0556446 + 0.0963792i −0.892506 0.451036i \(-0.851055\pi\)
0.836861 + 0.547415i \(0.184388\pi\)
\(68\) 5.93602 + 10.2815i 0.719848 + 1.24681i
\(69\) 6.34203 + 7.95265i 0.763490 + 0.957387i
\(70\) −1.05955 + 0.0127796i −0.126641 + 0.00152746i
\(71\) −6.92638 + 8.68541i −0.822011 + 1.03077i 0.176906 + 0.984228i \(0.443391\pi\)
−0.998916 + 0.0465409i \(0.985180\pi\)
\(72\) 0.228353 + 0.0344187i 0.0269117 + 0.00405628i
\(73\) 6.64006 4.52712i 0.777160 0.529859i −0.108553 0.994091i \(-0.534622\pi\)
0.885714 + 0.464232i \(0.153669\pi\)
\(74\) 2.87672 1.96131i 0.334412 0.227998i
\(75\) −6.24960 0.941976i −0.721642 0.108770i
\(76\) −1.81888 + 2.28080i −0.208640 + 0.261626i
\(77\) −3.98520 16.5383i −0.454156 1.88471i
\(78\) 0.376650 + 0.472304i 0.0426472 + 0.0534779i
\(79\) 3.13622 + 5.43209i 0.352852 + 0.611157i 0.986748 0.162261i \(-0.0518786\pi\)
−0.633896 + 0.773418i \(0.718545\pi\)
\(80\) −1.81015 + 3.13528i −0.202381 + 0.350534i
\(81\) 8.37903 1.26294i 0.931004 0.140326i
\(82\) −1.51791 + 1.40841i −0.167625 + 0.155533i
\(83\) 11.0683 + 5.33020i 1.21490 + 0.585065i 0.927887 0.372862i \(-0.121623\pi\)
0.287013 + 0.957927i \(0.407338\pi\)
\(84\) 0.522527 8.31765i 0.0570124 0.907530i
\(85\) −6.37953 + 3.07222i −0.691957 + 0.333229i
\(86\) −1.05632 + 2.69146i −0.113906 + 0.290227i
\(87\) −0.478824 + 6.38946i −0.0513353 + 0.685022i
\(88\) 8.53563 + 2.63289i 0.909901 + 0.280667i
\(89\) 0.125789 + 1.67853i 0.0133336 + 0.177924i 0.999894 + 0.0145300i \(0.00462520\pi\)
−0.986561 + 0.163394i \(0.947756\pi\)
\(90\) −0.0148145 + 0.0649064i −0.00156158 + 0.00684174i
\(91\) −1.91763 + 1.82283i −0.201022 + 0.191084i
\(92\) −2.51601 11.0234i −0.262312 1.14926i
\(93\) 6.69773 2.06598i 0.694522 0.214232i
\(94\) −1.20564 3.07191i −0.124352 0.316843i
\(95\) −1.27545 1.18344i −0.130858 0.121419i
\(96\) 5.48362 + 3.73867i 0.559669 + 0.381576i
\(97\) −12.3898 −1.25800 −0.628999 0.777406i \(-0.716535\pi\)
−0.628999 + 0.777406i \(0.716535\pi\)
\(98\) −2.51130 + 0.0605882i −0.253679 + 0.00612033i
\(99\) −1.06883 −0.107421
\(100\) 5.80468 + 3.95756i 0.580468 + 0.395756i
\(101\) −10.5100 9.75188i −1.04579 0.970348i −0.0461952 0.998932i \(-0.514710\pi\)
−0.999591 + 0.0285843i \(0.990900\pi\)
\(102\) 1.40026 + 3.56780i 0.138646 + 0.353265i
\(103\) 3.82090 1.17859i 0.376485 0.116130i −0.100737 0.994913i \(-0.532120\pi\)
0.477222 + 0.878783i \(0.341644\pi\)
\(104\) −0.309133 1.35440i −0.0303130 0.132810i
\(105\) 4.92367 + 0.681498i 0.480501 + 0.0665074i
\(106\) 0.763360 3.34450i 0.0741441 0.324846i
\(107\) 1.26086 + 16.8251i 0.121892 + 1.62654i 0.638014 + 0.770024i \(0.279756\pi\)
−0.516122 + 0.856515i \(0.672625\pi\)
\(108\) −9.53044 2.93975i −0.917067 0.282878i
\(109\) −0.638433 + 8.51929i −0.0611507 + 0.816000i 0.879343 + 0.476189i \(0.157982\pi\)
−0.940494 + 0.339811i \(0.889637\pi\)
\(110\) −0.940807 + 2.39714i −0.0897024 + 0.228558i
\(111\) −14.7149 + 7.08633i −1.39668 + 0.672604i
\(112\) −4.20132 + 7.48392i −0.396987 + 0.707164i
\(113\) 5.68092 + 2.73579i 0.534416 + 0.257361i 0.681571 0.731752i \(-0.261297\pi\)
−0.147155 + 0.989113i \(0.547012\pi\)
\(114\) −0.690387 + 0.640586i −0.0646607 + 0.0599964i
\(115\) 6.66832 1.00509i 0.621824 0.0937249i
\(116\) 3.56117 6.16813i 0.330646 0.572696i
\(117\) 0.0831153 + 0.143960i 0.00768401 + 0.0133091i
\(118\) −0.917024 1.14991i −0.0844189 0.105858i
\(119\) −15.0348 + 7.46509i −1.37824 + 0.684323i
\(120\) −1.62729 + 2.04055i −0.148550 + 0.186276i
\(121\) −30.0035 4.52229i −2.72759 0.411118i
\(122\) −1.37975 + 0.940700i −0.124917 + 0.0851670i
\(123\) 8.02551 5.47170i 0.723636 0.493367i
\(124\) −7.70421 1.16122i −0.691858 0.104281i
\(125\) −6.09168 + 7.63872i −0.544856 + 0.683228i
\(126\) −0.0332619 + 0.154284i −0.00296320 + 0.0137447i
\(127\) −1.56798 1.96619i −0.139136 0.174471i 0.707382 0.706832i \(-0.249876\pi\)
−0.846517 + 0.532361i \(0.821305\pi\)
\(128\) −4.85281 8.40532i −0.428932 0.742932i
\(129\) 6.78145 11.7458i 0.597073 1.03416i
\(130\) 0.396029 0.0596917i 0.0347340 0.00523531i
\(131\) −9.51529 + 8.82890i −0.831355 + 0.771384i −0.975924 0.218110i \(-0.930011\pi\)
0.144570 + 0.989495i \(0.453820\pi\)
\(132\) −18.2480 8.78775i −1.58828 0.764876i
\(133\) −3.05728 2.76888i −0.265100 0.240092i
\(134\) 0.294528 0.141837i 0.0254433 0.0122529i
\(135\) 2.17321 5.53724i 0.187040 0.476570i
\(136\) 0.658674 8.78939i 0.0564808 0.753684i
\(137\) 3.64010 + 1.12282i 0.310995 + 0.0959292i 0.446324 0.894872i \(-0.352733\pi\)
−0.135329 + 0.990801i \(0.543209\pi\)
\(138\) −0.272785 3.64007i −0.0232210 0.309863i
\(139\) 5.02663 22.0231i 0.426353 1.86798i −0.0663788 0.997794i \(-0.521145\pi\)
0.492732 0.870181i \(-0.335998\pi\)
\(140\) −4.60238 3.05720i −0.388972 0.258380i
\(141\) 3.44465 + 15.0920i 0.290092 + 1.27097i
\(142\) 3.80950 1.17507i 0.319686 0.0986100i
\(143\) 2.34907 + 5.98533i 0.196439 + 0.500519i
\(144\) 0.395287 + 0.366773i 0.0329406 + 0.0305644i
\(145\) 3.50979 + 2.39294i 0.291473 + 0.198723i
\(146\) −2.88398 −0.238680
\(147\) 11.6910 + 1.47471i 0.964259 + 0.121632i
\(148\) 18.1547 1.49231
\(149\) 13.7576 + 9.37975i 1.12706 + 0.768419i 0.975494 0.220027i \(-0.0706146\pi\)
0.151570 + 0.988446i \(0.451567\pi\)
\(150\) 1.66261 + 1.54268i 0.135752 + 0.125959i
\(151\) 1.24658 + 3.17622i 0.101445 + 0.258477i 0.972581 0.232564i \(-0.0747116\pi\)
−0.871136 + 0.491042i \(0.836616\pi\)
\(152\) 2.06960 0.638388i 0.167867 0.0517801i
\(153\) 0.234684 + 1.02822i 0.0189730 + 0.0831263i
\(154\) −2.16164 + 5.70930i −0.174190 + 0.460069i
\(155\) 1.03402 4.53035i 0.0830548 0.363887i
\(156\) 0.235398 + 3.14116i 0.0188469 + 0.251494i
\(157\) 6.11045 + 1.88483i 0.487667 + 0.150425i 0.528831 0.848727i \(-0.322630\pi\)
−0.0411640 + 0.999152i \(0.513107\pi\)
\(158\) 0.168212 2.24464i 0.0133823 0.178574i
\(159\) −5.87913 + 14.9798i −0.466245 + 1.18797i
\(160\) 3.96431 1.90911i 0.313406 0.150928i
\(161\) 15.7785 2.57321i 1.24352 0.202798i
\(162\) −2.73973 1.31939i −0.215254 0.103661i
\(163\) −16.0839 + 14.9237i −1.25979 + 1.16891i −0.281977 + 0.959421i \(0.590990\pi\)
−0.977811 + 0.209491i \(0.932819\pi\)
\(164\) −10.6766 + 1.60923i −0.833699 + 0.125660i
\(165\) 6.03988 10.4614i 0.470204 0.814417i
\(166\) −2.20428 3.81792i −0.171085 0.296328i
\(167\) 5.62527 + 7.05387i 0.435297 + 0.545845i 0.950297 0.311345i \(-0.100780\pi\)
−0.515000 + 0.857190i \(0.672208\pi\)
\(168\) −3.79913 + 4.88365i −0.293109 + 0.376782i
\(169\) 0.623490 0.781831i 0.0479608 0.0601409i
\(170\) 2.51262 + 0.378717i 0.192709 + 0.0290463i
\(171\) −0.214124 + 0.145987i −0.0163745 + 0.0111639i
\(172\) −12.4566 + 8.49278i −0.949809 + 0.647569i
\(173\) 11.2930 + 1.70215i 0.858595 + 0.129412i 0.563561 0.826075i \(-0.309431\pi\)
0.295034 + 0.955487i \(0.404669\pi\)
\(174\) 1.43363 1.79771i 0.108683 0.136284i
\(175\) −6.09925 + 7.84036i −0.461060 + 0.592675i
\(176\) 13.0045 + 16.3071i 0.980252 + 1.22920i
\(177\) 3.44967 + 5.97500i 0.259293 + 0.449108i
\(178\) 0.302025 0.523122i 0.0226377 0.0392097i
\(179\) −11.9370 + 1.79921i −0.892213 + 0.134479i −0.579119 0.815243i \(-0.696603\pi\)
−0.313093 + 0.949722i \(0.601365\pi\)
\(180\) −0.254477 + 0.236120i −0.0189676 + 0.0175993i
\(181\) −6.62687 3.19133i −0.492571 0.237210i 0.171073 0.985258i \(-0.445277\pi\)
−0.663644 + 0.748049i \(0.730991\pi\)
\(182\) 0.937078 0.152822i 0.0694608 0.0113279i
\(183\) 7.05767 3.39880i 0.521718 0.251246i
\(184\) −3.06683 + 7.81414i −0.226089 + 0.576066i
\(185\) −0.809169 + 10.7976i −0.0594913 + 0.793856i
\(186\) −2.40355 0.741398i −0.176237 0.0543620i
\(187\) 3.04856 + 40.6801i 0.222932 + 2.97483i
\(188\) 3.82901 16.7760i 0.279260 1.22352i
\(189\) 4.99326 13.1882i 0.363207 0.959297i
\(190\) 0.138939 + 0.608732i 0.0100797 + 0.0441621i
\(191\) −4.98219 + 1.53680i −0.360499 + 0.111199i −0.469713 0.882819i \(-0.655643\pi\)
0.109214 + 0.994018i \(0.465166\pi\)
\(192\) 3.11991 + 7.94940i 0.225160 + 0.573699i
\(193\) −6.10132 5.66120i −0.439183 0.407502i 0.429347 0.903140i \(-0.358744\pi\)
−0.868529 + 0.495638i \(0.834934\pi\)
\(194\) 3.67365 + 2.50465i 0.263753 + 0.179824i
\(195\) −1.87871 −0.134537
\(196\) −10.9973 7.11549i −0.785524 0.508249i
\(197\) 8.73812 0.622565 0.311283 0.950317i \(-0.399241\pi\)
0.311283 + 0.950317i \(0.399241\pi\)
\(198\) 0.316913 + 0.216068i 0.0225220 + 0.0153553i
\(199\) −17.3061 16.0577i −1.22679 1.13830i −0.985827 0.167766i \(-0.946345\pi\)
−0.240968 0.970533i \(-0.577465\pi\)
\(200\) −1.90555 4.85526i −0.134743 0.343319i
\(201\) −1.46533 + 0.451995i −0.103357 + 0.0318813i
\(202\) 1.14490 + 5.01612i 0.0805547 + 0.352933i
\(203\) 8.38838 + 5.57210i 0.588749 + 0.391085i
\(204\) −4.44712 + 19.4841i −0.311360 + 1.36416i
\(205\) −0.481236 6.42165i −0.0336110 0.448508i
\(206\) −1.37117 0.422951i −0.0955342 0.0294684i
\(207\) 0.0750625 1.00164i 0.00521720 0.0696187i
\(208\) 1.18513 3.01966i 0.0821739 0.209376i
\(209\) −9.03144 + 4.34931i −0.624718 + 0.300848i
\(210\) −1.32212 1.19740i −0.0912352 0.0826288i
\(211\) −1.59023 0.765812i −0.109476 0.0527207i 0.378344 0.925665i \(-0.376494\pi\)
−0.487820 + 0.872944i \(0.662208\pi\)
\(212\) 13.1127 12.1668i 0.900582 0.835618i
\(213\) −18.4919 + 2.78721i −1.26704 + 0.190976i
\(214\) 3.02739 5.24360i 0.206948 0.358445i
\(215\) −4.49592 7.78716i −0.306619 0.531080i
\(216\) 4.61666 + 5.78911i 0.314124 + 0.393899i
\(217\) 2.32162 10.7687i 0.157602 0.731030i
\(218\) 1.91150 2.39695i 0.129463 0.162342i
\(219\) 13.3774 + 2.01631i 0.903959 + 0.136250i
\(220\) −11.0945 + 7.56407i −0.747988 + 0.509969i
\(221\) 5.24211 3.57401i 0.352623 0.240414i
\(222\) 5.79557 + 0.873542i 0.388973 + 0.0586283i
\(223\) −17.2606 + 21.6441i −1.15585 + 1.44939i −0.284540 + 0.958664i \(0.591841\pi\)
−0.871312 + 0.490729i \(0.836731\pi\)
\(224\) 9.34279 4.63888i 0.624241 0.309948i
\(225\) 0.389124 + 0.487946i 0.0259416 + 0.0325298i
\(226\) −1.13137 1.95959i −0.0752577 0.130350i
\(227\) 9.93348 17.2053i 0.659308 1.14196i −0.321487 0.946914i \(-0.604183\pi\)
0.980795 0.195041i \(-0.0624842\pi\)
\(228\) −4.85600 + 0.731924i −0.321596 + 0.0484728i
\(229\) −10.6460 + 9.87803i −0.703507 + 0.652759i −0.948504 0.316765i \(-0.897403\pi\)
0.244998 + 0.969524i \(0.421213\pi\)
\(230\) −2.18037 1.05001i −0.143770 0.0692358i
\(231\) 14.0184 24.9713i 0.922343 1.64299i
\(232\) −4.76411 + 2.29428i −0.312779 + 0.150627i
\(233\) −5.17693 + 13.1906i −0.339152 + 0.864146i 0.654947 + 0.755675i \(0.272691\pi\)
−0.994100 + 0.108471i \(0.965404\pi\)
\(234\) 0.00445793 0.0594869i 0.000291424 0.00388878i
\(235\) 9.80694 + 3.02504i 0.639734 + 0.197332i
\(236\) −0.573119 7.64774i −0.0373069 0.497826i
\(237\) −2.34957 + 10.2942i −0.152621 + 0.668677i
\(238\) 5.96699 + 0.825908i 0.386783 + 0.0535357i
\(239\) −2.17450 9.52709i −0.140656 0.616256i −0.995283 0.0970131i \(-0.969071\pi\)
0.854627 0.519243i \(-0.173786\pi\)
\(240\) −5.82359 + 1.79634i −0.375911 + 0.115953i
\(241\) 0.201292 + 0.512882i 0.0129663 + 0.0330377i 0.937210 0.348765i \(-0.113399\pi\)
−0.924244 + 0.381802i \(0.875304\pi\)
\(242\) 7.98198 + 7.40619i 0.513101 + 0.476088i
\(243\) −1.42567 0.972004i −0.0914567 0.0623541i
\(244\) −8.70751 −0.557441
\(245\) 4.72212 6.22357i 0.301685 0.397609i
\(246\) −3.48573 −0.222242
\(247\) 1.28812 + 0.878223i 0.0819609 + 0.0558800i
\(248\) 4.24024 + 3.93437i 0.269255 + 0.249832i
\(249\) 7.55528 + 19.2505i 0.478796 + 1.21995i
\(250\) 3.35041 1.03346i 0.211898 0.0653620i
\(251\) −1.28884 5.64678i −0.0813509 0.356421i 0.917826 0.396982i \(-0.129943\pi\)
−0.999177 + 0.0405610i \(0.987085\pi\)
\(252\) −0.596485 + 0.566997i −0.0375750 + 0.0357175i
\(253\) 8.64540 37.8780i 0.543532 2.38137i
\(254\) 0.0674424 + 0.899957i 0.00423171 + 0.0564683i
\(255\) −11.3900 3.51336i −0.713272 0.220015i
\(256\) 0.497923 6.64432i 0.0311202 0.415270i
\(257\) 5.62336 14.3281i 0.350776 0.893761i −0.641205 0.767370i \(-0.721565\pi\)
0.991980 0.126392i \(-0.0403396\pi\)
\(258\) −4.38519 + 2.11180i −0.273010 + 0.131475i
\(259\) −1.60941 + 25.6188i −0.100004 + 1.59188i
\(260\) 1.88154 + 0.906100i 0.116688 + 0.0561939i
\(261\) 0.463814 0.430356i 0.0287094 0.0266384i
\(262\) 4.60612 0.694262i 0.284567 0.0428916i
\(263\) −0.608089 + 1.05324i −0.0374964 + 0.0649457i −0.884165 0.467176i \(-0.845272\pi\)
0.846668 + 0.532121i \(0.178605\pi\)
\(264\) 7.51838 + 13.0222i 0.462724 + 0.801462i
\(265\) 6.65180 + 8.34110i 0.408617 + 0.512390i
\(266\) 0.346759 + 1.43903i 0.0212612 + 0.0882323i
\(267\) −1.76668 + 2.21535i −0.108119 + 0.135577i
\(268\) 1.68553 + 0.254053i 0.102960 + 0.0155188i
\(269\) 12.4269 8.47250i 0.757680 0.516577i −0.121776 0.992558i \(-0.538859\pi\)
0.879456 + 0.475980i \(0.157907\pi\)
\(270\) −1.76374 + 1.20250i −0.107338 + 0.0731817i
\(271\) 3.00176 + 0.452442i 0.182344 + 0.0274839i 0.239579 0.970877i \(-0.422990\pi\)
−0.0572355 + 0.998361i \(0.518229\pi\)
\(272\) 12.8321 16.0909i 0.778060 0.975656i
\(273\) −4.45348 + 0.0537151i −0.269537 + 0.00325098i
\(274\) −0.852326 1.06878i −0.0514909 0.0645675i
\(275\) 12.0702 + 20.9063i 0.727862 + 1.26069i
\(276\) 9.51685 16.4837i 0.572847 0.992201i
\(277\) −1.01396 + 0.152830i −0.0609229 + 0.00918264i −0.179433 0.983770i \(-0.557426\pi\)
0.118510 + 0.992953i \(0.462188\pi\)
\(278\) −5.94247 + 5.51381i −0.356406 + 0.330696i
\(279\) −0.623594 0.300307i −0.0373336 0.0179789i
\(280\) 1.54459 + 3.80014i 0.0923070 + 0.227102i
\(281\) 8.51263 4.09946i 0.507821 0.244554i −0.162387 0.986727i \(-0.551919\pi\)
0.670208 + 0.742174i \(0.266205\pi\)
\(282\) 2.02954 5.17120i 0.120858 0.307940i
\(283\) −0.491360 + 6.55675i −0.0292083 + 0.389758i 0.963372 + 0.268168i \(0.0864183\pi\)
−0.992580 + 0.121590i \(0.961201\pi\)
\(284\) 19.8639 + 6.12722i 1.17871 + 0.363583i
\(285\) −0.218880 2.92075i −0.0129653 0.173010i
\(286\) 0.513446 2.24955i 0.0303607 0.133019i
\(287\) −1.32437 15.2088i −0.0781753 0.897744i
\(288\) −0.145835 0.638944i −0.00859339 0.0376501i
\(289\) 22.2202 6.85404i 1.30707 0.403179i
\(290\) −0.556931 1.41904i −0.0327041 0.0833287i
\(291\) −15.2891 14.1862i −0.896265 0.831612i
\(292\) −12.4250 8.47123i −0.727119 0.495741i
\(293\) 8.63818 0.504648 0.252324 0.967643i \(-0.418805\pi\)
0.252324 + 0.967643i \(0.418805\pi\)
\(294\) −3.16833 2.80064i −0.184781 0.163337i
\(295\) 4.57407 0.266313
\(296\) −11.1364 7.59267i −0.647291 0.441315i
\(297\) −25.1222 23.3100i −1.45774 1.35258i
\(298\) −2.18304 5.56229i −0.126460 0.322215i
\(299\) −5.77405 + 1.78106i −0.333922 + 0.103001i
\(300\) 2.63164 + 11.5299i 0.151938 + 0.665682i
\(301\) −10.8802 18.3309i −0.627124 1.05657i
\(302\) 0.272469 1.19377i 0.0156788 0.0686935i
\(303\) −1.80363 24.0677i −0.103616 1.38266i
\(304\) 4.83259 + 1.49066i 0.277168 + 0.0854951i
\(305\) 0.388099 5.17883i 0.0222225 0.296539i
\(306\) 0.138273 0.352313i 0.00790453 0.0201404i
\(307\) −0.688414 + 0.331523i −0.0392899 + 0.0189210i −0.453426 0.891294i \(-0.649798\pi\)
0.414136 + 0.910215i \(0.364084\pi\)
\(308\) −26.0831 + 18.2478i −1.48622 + 1.03977i
\(309\) 6.06449 + 2.92050i 0.344997 + 0.166142i
\(310\) −1.22242 + 1.13424i −0.0694288 + 0.0644205i
\(311\) 12.1363 1.82925i 0.688186 0.103727i 0.204366 0.978895i \(-0.434487\pi\)
0.483821 + 0.875167i \(0.339249\pi\)
\(312\) 1.16930 2.02529i 0.0661986 0.114659i
\(313\) −9.34427 16.1848i −0.528170 0.914816i −0.999461 0.0328388i \(-0.989545\pi\)
0.471291 0.881978i \(-0.343788\pi\)
\(314\) −1.43076 1.79411i −0.0807422 0.101248i
\(315\) −0.310638 0.380034i −0.0175025 0.0214125i
\(316\) 7.31796 9.17643i 0.411667 0.516214i
\(317\) −12.8080 1.93049i −0.719367 0.108427i −0.220851 0.975308i \(-0.570883\pi\)
−0.498516 + 0.866880i \(0.666122\pi\)
\(318\) 4.77140 3.25309i 0.267567 0.182424i
\(319\) 20.2209 13.7864i 1.13216 0.771890i
\(320\) 5.59837 + 0.843818i 0.312958 + 0.0471709i
\(321\) −17.7086 + 22.2059i −0.988398 + 1.23941i
\(322\) −5.19859 2.42671i −0.289706 0.135235i
\(323\) 6.16708 + 7.73328i 0.343146 + 0.430291i
\(324\) −7.92805 13.7318i −0.440447 0.762877i
\(325\) 1.87723 3.25146i 0.104130 0.180359i
\(326\) 7.78583 1.17352i 0.431217 0.0649955i
\(327\) −10.5423 + 9.78185i −0.582992 + 0.540937i
\(328\) 7.22219 + 3.47802i 0.398779 + 0.192042i
\(329\) 23.3338 + 6.89045i 1.28643 + 0.379883i
\(330\) −3.90566 + 1.88087i −0.214999 + 0.103538i
\(331\) 4.41414 11.2470i 0.242623 0.618193i −0.756746 0.653709i \(-0.773212\pi\)
0.999369 + 0.0355156i \(0.0113073\pi\)
\(332\) 1.71787 22.9234i 0.0942803 1.25808i
\(333\) 1.54113 + 0.475377i 0.0844536 + 0.0260505i
\(334\) −0.241956 3.22868i −0.0132392 0.176665i
\(335\) −0.226224 + 0.991153i −0.0123600 + 0.0541525i
\(336\) −13.7535 + 4.42473i −0.750312 + 0.241389i
\(337\) −2.63045 11.5247i −0.143290 0.627793i −0.994658 0.103225i \(-0.967084\pi\)
0.851368 0.524568i \(-0.175773\pi\)
\(338\) −0.342918 + 0.105776i −0.0186523 + 0.00575347i
\(339\) 3.87784 + 9.88057i 0.210615 + 0.536639i
\(340\) 9.71266 + 9.01203i 0.526743 + 0.488746i
\(341\) −22.1200 15.0811i −1.19786 0.816690i
\(342\) 0.0930008 0.00502891
\(343\) 11.0158 14.8880i 0.594799 0.803874i
\(344\) 11.1929 0.603483
\(345\) 9.37956 + 6.39488i 0.504979 + 0.344289i
\(346\) −3.00435 2.78763i −0.161515 0.149864i
\(347\) −7.19600 18.3351i −0.386302 0.984281i −0.983292 0.182033i \(-0.941732\pi\)
0.596991 0.802248i \(-0.296363\pi\)
\(348\) 11.4569 3.53400i 0.614157 0.189442i
\(349\) 7.06147 + 30.9383i 0.377992 + 1.65609i 0.703609 + 0.710588i \(0.251571\pi\)
−0.325617 + 0.945502i \(0.605572\pi\)
\(350\) 3.39341 1.09172i 0.181386 0.0583549i
\(351\) −1.18603 + 5.19634i −0.0633056 + 0.277360i
\(352\) −1.89440 25.2791i −0.100972 1.34738i
\(353\) −6.21187 1.91611i −0.330624 0.101984i 0.124999 0.992157i \(-0.460107\pi\)
−0.455623 + 0.890173i \(0.650584\pi\)
\(354\) 0.185024 2.46898i 0.00983394 0.131225i
\(355\) −4.52954 + 11.5411i −0.240403 + 0.612536i
\(356\) 2.83779 1.36661i 0.150403 0.0724301i
\(357\) −27.1005 8.00275i −1.43431 0.423551i
\(358\) 3.90309 + 1.87963i 0.206285 + 0.0993416i
\(359\) 8.70503 8.07708i 0.459434 0.426292i −0.416196 0.909275i \(-0.636637\pi\)
0.875630 + 0.482983i \(0.160447\pi\)
\(360\) 0.254850 0.0384125i 0.0134318 0.00202452i
\(361\) 8.28474 14.3496i 0.436039 0.755242i
\(362\) 1.31976 + 2.28589i 0.0693651 + 0.120144i
\(363\) −31.8464 39.9342i −1.67150 2.09600i
\(364\) 4.48608 + 2.09411i 0.235134 + 0.109761i
\(365\) 5.59209 7.01226i 0.292703 0.367038i
\(366\) −2.77971 0.418974i −0.145298 0.0219001i
\(367\) −5.09033 + 3.47053i −0.265713 + 0.181160i −0.688846 0.724907i \(-0.741883\pi\)
0.423133 + 0.906067i \(0.360930\pi\)
\(368\) −16.1953 + 11.0418i −0.844239 + 0.575592i
\(369\) −0.948457 0.142957i −0.0493747 0.00744204i
\(370\) 2.42270 3.03797i 0.125950 0.157936i
\(371\) 16.0066 + 19.5824i 0.831019 + 1.01667i
\(372\) −8.17744 10.2542i −0.423981 0.531655i
\(373\) 6.73015 + 11.6570i 0.348474 + 0.603574i 0.985979 0.166872i \(-0.0533667\pi\)
−0.637505 + 0.770446i \(0.720033\pi\)
\(374\) 7.31973 12.6781i 0.378494 0.655571i
\(375\) −16.2634 + 2.45132i −0.839839 + 0.126585i
\(376\) −9.36484 + 8.68930i −0.482955 + 0.448117i
\(377\) −3.42932 1.65147i −0.176619 0.0850552i
\(378\) −4.14656 + 2.90095i −0.213276 + 0.149209i
\(379\) −11.1232 + 5.35663i −0.571358 + 0.275152i −0.697174 0.716902i \(-0.745559\pi\)
0.125816 + 0.992054i \(0.459845\pi\)
\(380\) −1.18946 + 3.03070i −0.0610181 + 0.155472i
\(381\) 0.316365 4.22160i 0.0162079 0.216279i
\(382\) 1.78792 + 0.551499i 0.0914777 + 0.0282171i
\(383\) 1.05085 + 14.0227i 0.0536961 + 0.716524i 0.957473 + 0.288521i \(0.0931637\pi\)
−0.903777 + 0.428003i \(0.859217\pi\)
\(384\) 3.63560 15.9286i 0.185529 0.812854i
\(385\) −9.69042 16.3263i −0.493869 0.832068i
\(386\) 0.664640 + 2.91198i 0.0338293 + 0.148216i
\(387\) −1.27981 + 0.394769i −0.0650563 + 0.0200672i
\(388\) 8.47011 + 21.5815i 0.430005 + 1.09563i
\(389\) −12.5391 11.6346i −0.635757 0.589897i 0.295017 0.955492i \(-0.404675\pi\)
−0.930774 + 0.365596i \(0.880865\pi\)
\(390\) 0.557048 + 0.379789i 0.0282072 + 0.0192313i
\(391\) −38.3369 −1.93878
\(392\) 3.77010 + 8.96406i 0.190419 + 0.452753i
\(393\) −21.8509 −1.10223
\(394\) −2.59090 1.76644i −0.130527 0.0889921i
\(395\) 5.13155 + 4.76139i 0.258196 + 0.239571i
\(396\) 0.730687 + 1.86176i 0.0367184 + 0.0935570i
\(397\) 4.69385 1.44786i 0.235578 0.0726661i −0.174718 0.984618i \(-0.555902\pi\)
0.410296 + 0.911952i \(0.365425\pi\)
\(398\) 1.88522 + 8.25967i 0.0944973 + 0.414020i
\(399\) −0.602362 6.91736i −0.0301558 0.346301i
\(400\) 2.71010 11.8737i 0.135505 0.593687i
\(401\) 0.712526 + 9.50799i 0.0355818 + 0.474807i 0.986323 + 0.164822i \(0.0527049\pi\)
−0.950742 + 0.309985i \(0.899676\pi\)
\(402\) 0.525851 + 0.162204i 0.0262271 + 0.00808998i
\(403\) −0.311155 + 4.15208i −0.0154997 + 0.206830i
\(404\) −9.80149 + 24.9738i −0.487642 + 1.24249i
\(405\) 8.52039 4.10321i 0.423382 0.203890i
\(406\) −1.36077 3.34790i −0.0675341 0.166153i
\(407\) 56.2047 + 27.0668i 2.78597 + 1.34165i
\(408\) 10.8766 10.0920i 0.538470 0.499628i
\(409\) 19.2226 2.89734i 0.950496 0.143264i 0.344548 0.938769i \(-0.388032\pi\)
0.605948 + 0.795504i \(0.292794\pi\)
\(410\) −1.15547 + 2.00134i −0.0570647 + 0.0988389i
\(411\) 3.20628 + 5.55345i 0.158154 + 0.273931i
\(412\) −4.66505 5.84978i −0.229830 0.288198i
\(413\) 10.8428 0.130779i 0.533540 0.00643523i
\(414\) −0.224741 + 0.281817i −0.0110454 + 0.0138505i
\(415\) 13.5572 + 2.04342i 0.665497 + 0.100307i
\(416\) −3.25750 + 2.22093i −0.159712 + 0.108890i
\(417\) 31.4191 21.4212i 1.53860 1.04900i
\(418\) 3.55710 + 0.536146i 0.173983 + 0.0262238i
\(419\) 0.699456 0.877090i 0.0341707 0.0428487i −0.764453 0.644680i \(-0.776991\pi\)
0.798623 + 0.601831i \(0.205562\pi\)
\(420\) −2.17890 9.04227i −0.106319 0.441218i
\(421\) −15.2792 19.1595i −0.744663 0.933778i 0.254785 0.966998i \(-0.417995\pi\)
−0.999448 + 0.0332197i \(0.989424\pi\)
\(422\) 0.316698 + 0.548537i 0.0154166 + 0.0267024i
\(423\) 0.764315 1.32383i 0.0371623 0.0643669i
\(424\) −13.1319 + 1.97932i −0.637742 + 0.0961242i
\(425\) 17.4616 16.2020i 0.847011 0.785912i
\(426\) 6.04638 + 2.91178i 0.292948 + 0.141076i
\(427\) 0.771918 12.2875i 0.0373558 0.594633i
\(428\) 28.4451 13.6984i 1.37494 0.662138i
\(429\) −3.95438 + 10.0756i −0.190919 + 0.486454i
\(430\) −0.241141 + 3.21780i −0.0116288 + 0.155176i
\(431\) 29.8672 + 9.21281i 1.43865 + 0.443766i 0.913359 0.407155i \(-0.133479\pi\)
0.525294 + 0.850921i \(0.323955\pi\)
\(432\) 1.29207 + 17.2415i 0.0621649 + 0.829533i
\(433\) −7.84035 + 34.3508i −0.376783 + 1.65079i 0.330457 + 0.943821i \(0.392797\pi\)
−0.707240 + 0.706974i \(0.750060\pi\)
\(434\) −2.86531 + 2.72366i −0.137539 + 0.130740i
\(435\) 1.59122 + 6.97158i 0.0762930 + 0.334261i
\(436\) 15.2759 4.71200i 0.731585 0.225664i
\(437\) −3.44163 8.76914i −0.164636 0.419485i
\(438\) −3.55885 3.30213i −0.170049 0.157782i
\(439\) 12.0736 + 8.23161i 0.576239 + 0.392873i 0.816080 0.577939i \(-0.196143\pi\)
−0.239841 + 0.970812i \(0.577095\pi\)
\(440\) 9.96896 0.475251
\(441\) −0.747233 0.891987i −0.0355825 0.0424756i
\(442\) −2.27681 −0.108297
\(443\) −24.5045 16.7069i −1.16424 0.793767i −0.182355 0.983233i \(-0.558372\pi\)
−0.981887 + 0.189465i \(0.939325\pi\)
\(444\) 22.4030 + 20.7870i 1.06320 + 0.986507i
\(445\) 0.686314 + 1.74870i 0.0325344 + 0.0828963i
\(446\) 9.49327 2.92828i 0.449519 0.138658i
\(447\) 6.23719 + 27.3269i 0.295009 + 1.29252i
\(448\) 13.2950 + 1.84020i 0.628132 + 0.0869414i
\(449\) −4.61924 + 20.2382i −0.217995 + 0.955100i 0.740961 + 0.671548i \(0.234370\pi\)
−0.958957 + 0.283553i \(0.908487\pi\)
\(450\) −0.0167371 0.223341i −0.000788995 0.0105284i
\(451\) −35.4525 10.9356i −1.66939 0.514939i
\(452\) 0.881716 11.7657i 0.0414725 0.553411i
\(453\) −2.09846 + 5.34679i −0.0985943 + 0.251214i
\(454\) −6.42344 + 3.09337i −0.301467 + 0.145179i
\(455\) −1.44543 + 2.57478i −0.0677627 + 0.120707i
\(456\) 3.28485 + 1.58190i 0.153827 + 0.0740793i
\(457\) 6.95731 6.45544i 0.325449 0.301973i −0.500478 0.865749i \(-0.666842\pi\)
0.825928 + 0.563776i \(0.190652\pi\)
\(458\) 5.15347 0.776760i 0.240806 0.0362956i
\(459\) −16.9081 + 29.2857i −0.789204 + 1.36694i
\(460\) −6.30942 10.9282i −0.294178 0.509531i
\(461\) −0.958499 1.20192i −0.0446417 0.0559790i 0.759009 0.651080i \(-0.225684\pi\)
−0.803651 + 0.595101i \(0.797112\pi\)
\(462\) −9.20457 + 4.57025i −0.428235 + 0.212627i
\(463\) 7.21254 9.04423i 0.335195 0.420321i −0.585458 0.810703i \(-0.699085\pi\)
0.920653 + 0.390381i \(0.127657\pi\)
\(464\) −12.2092 1.84024i −0.566798 0.0854310i
\(465\) 6.46320 4.40653i 0.299724 0.204348i
\(466\) 4.20152 2.86455i 0.194632 0.132698i
\(467\) 5.63829 + 0.849835i 0.260909 + 0.0393257i 0.278194 0.960525i \(-0.410264\pi\)
−0.0172851 + 0.999851i \(0.505502\pi\)
\(468\) 0.193939 0.243192i 0.00896483 0.0112415i
\(469\) −0.507925 + 2.35599i −0.0234538 + 0.108790i
\(470\) −2.29628 2.87945i −0.105920 0.132819i
\(471\) 5.38223 + 9.32229i 0.248000 + 0.429548i
\(472\) −2.84688 + 4.93094i −0.131038 + 0.226965i
\(473\) −51.2259 + 7.72107i −2.35537 + 0.355015i
\(474\) 2.77766 2.57729i 0.127582 0.118379i
\(475\) 5.27360 + 2.53963i 0.241969 + 0.116526i
\(476\) 23.2815 + 21.0853i 1.06711 + 0.966443i
\(477\) 1.43170 0.689471i 0.0655531 0.0315687i
\(478\) −1.28119 + 3.26441i −0.0586001 + 0.149311i
\(479\) 0.548202 7.31525i 0.0250480 0.334242i −0.970576 0.240794i \(-0.922592\pi\)
0.995624 0.0934481i \(-0.0297889\pi\)
\(480\) 7.07788 + 2.18324i 0.323060 + 0.0996507i
\(481\) −0.725038 9.67496i −0.0330589 0.441140i
\(482\) 0.0439971 0.192764i 0.00200401 0.00878016i
\(483\) 22.4171 + 14.8909i 1.02001 + 0.677557i
\(484\) 12.6341 + 55.3537i 0.574278 + 2.51608i
\(485\) −13.2132 + 4.07573i −0.599980 + 0.185069i
\(486\) 0.226223 + 0.576408i 0.0102617 + 0.0261464i
\(487\) −5.32927 4.94484i −0.241492 0.224072i 0.550136 0.835075i \(-0.314576\pi\)
−0.791628 + 0.611003i \(0.790766\pi\)
\(488\) 5.34133 + 3.64166i 0.241791 + 0.164850i
\(489\) −36.9351 −1.67026
\(490\) −2.65825 + 0.890724i −0.120088 + 0.0402388i
\(491\) −21.1014 −0.952294 −0.476147 0.879366i \(-0.657967\pi\)
−0.476147 + 0.879366i \(0.657967\pi\)
\(492\) −15.0175 10.2387i −0.677041 0.461598i
\(493\) −17.7025 16.4255i −0.797279 0.739767i
\(494\) −0.204397 0.520795i −0.00919625 0.0234317i
\(495\) −1.13986 + 0.351599i −0.0512328 + 0.0158032i
\(496\) 3.00552 + 13.1680i 0.134952 + 0.591262i
\(497\) −10.4073 + 27.4876i −0.466830 + 1.23299i
\(498\) 1.65139 7.23521i 0.0740005 0.324217i
\(499\) 2.81459 + 37.5581i 0.125998 + 1.68133i 0.599373 + 0.800470i \(0.295417\pi\)
−0.473375 + 0.880861i \(0.656964\pi\)
\(500\) 17.4701 + 5.38882i 0.781288 + 0.240995i
\(501\) −1.13499 + 15.1454i −0.0507076 + 0.676646i
\(502\) −0.759369 + 1.93484i −0.0338923 + 0.0863562i
\(503\) 34.2115 16.4754i 1.52542 0.734602i 0.531743 0.846906i \(-0.321537\pi\)
0.993674 + 0.112304i \(0.0358231\pi\)
\(504\) 0.603023 0.0983432i 0.0268608 0.00438056i
\(505\) −14.4164 6.94257i −0.641521 0.308940i
\(506\) −10.2206 + 9.48331i −0.454360 + 0.421584i
\(507\) 1.66458 0.250895i 0.0739265 0.0111426i
\(508\) −2.35291 + 4.07536i −0.104394 + 0.180815i
\(509\) 5.77640 + 10.0050i 0.256035 + 0.443465i 0.965176 0.261601i \(-0.0842506\pi\)
−0.709141 + 0.705066i \(0.750917\pi\)
\(510\) 2.66696 + 3.34427i 0.118095 + 0.148087i
\(511\) 13.0555 16.7824i 0.577543 0.742410i
\(512\) −13.5935 + 17.0457i −0.600755 + 0.753322i
\(513\) −8.21668 1.23846i −0.362775 0.0546796i
\(514\) −4.56383 + 3.11157i −0.201302 + 0.137245i
\(515\) 3.68711 2.51383i 0.162473 0.110772i
\(516\) −25.0957 3.78257i −1.10478 0.166518i
\(517\) 36.8654 46.2277i 1.62134 2.03309i
\(518\) 5.65614 7.27076i 0.248516 0.319459i
\(519\) 11.9867 + 15.0309i 0.526159 + 0.659783i
\(520\) −0.775215 1.34271i −0.0339954 0.0588818i
\(521\) 5.08738 8.81161i 0.222882 0.386044i −0.732800 0.680444i \(-0.761787\pi\)
0.955682 + 0.294401i \(0.0951201\pi\)
\(522\) −0.224521 + 0.0338411i −0.00982703 + 0.00148119i
\(523\) 28.1083 26.0807i 1.22909 1.14043i 0.243747 0.969839i \(-0.421623\pi\)
0.985342 0.170590i \(-0.0545673\pi\)
\(524\) 21.8837 + 10.5387i 0.955996 + 0.460383i
\(525\) −16.5036 + 2.69147i −0.720277 + 0.117465i
\(526\) 0.393218 0.189364i 0.0171451 0.00825666i
\(527\) −9.65119 + 24.5908i −0.420412 + 1.07119i
\(528\) −2.62387 + 35.0131i −0.114189 + 1.52375i
\(529\) 12.9115 + 3.98267i 0.561370 + 0.173160i
\(530\) −0.286109 3.81786i −0.0124278 0.165837i
\(531\) 0.151603 0.664214i 0.00657899 0.0288244i
\(532\) −2.73296 + 7.21827i −0.118489 + 0.312952i
\(533\) 1.28397 + 5.62545i 0.0556150 + 0.243665i
\(534\) 0.971669 0.299720i 0.0420482 0.0129702i
\(535\) 6.87938 + 17.5284i 0.297421 + 0.757817i
\(536\) −0.927682 0.860763i −0.0400698 0.0371793i
\(537\) −16.7904 11.4475i −0.724559 0.493996i
\(538\) −5.39738 −0.232697
\(539\) −23.4379 38.4245i −1.00954 1.65506i
\(540\) −11.1308 −0.478995
\(541\) −33.3663 22.7488i −1.43453 0.978046i −0.996883 0.0788986i \(-0.974860\pi\)
−0.437647 0.899147i \(-0.644188\pi\)
\(542\) −0.798573 0.740968i −0.0343017 0.0318273i
\(543\) −4.52355 11.5258i −0.194124 0.494620i
\(544\) −23.9025 + 7.37295i −1.02481 + 0.316113i
\(545\) 2.12162 + 9.29544i 0.0908804 + 0.398173i
\(546\) 1.33134 + 0.884361i 0.0569760 + 0.0378472i
\(547\) −2.96483 + 12.9898i −0.126767 + 0.555403i 0.871157 + 0.491004i \(0.163370\pi\)
−0.997924 + 0.0643987i \(0.979487\pi\)
\(548\) −0.532684 7.10818i −0.0227551 0.303646i
\(549\) −0.739170 0.228004i −0.0315470 0.00973096i
\(550\) 0.647392 8.63885i 0.0276049 0.368362i
\(551\) 2.16793 5.52381i 0.0923571 0.235322i
\(552\) −12.7316 + 6.13121i −0.541893 + 0.260962i
\(553\) 12.3005 + 11.1401i 0.523069 + 0.473726i
\(554\) 0.331539 + 0.159661i 0.0140857 + 0.00678333i
\(555\) −13.3617 + 12.3978i −0.567171 + 0.526258i
\(556\) −41.7977 + 6.29999i −1.77262 + 0.267179i
\(557\) −3.72569 + 6.45309i −0.157863 + 0.273426i −0.934098 0.357017i \(-0.883794\pi\)
0.776235 + 0.630444i \(0.217127\pi\)
\(558\) 0.124191 + 0.215104i 0.00525741 + 0.00910610i
\(559\) 5.02342 + 6.29917i 0.212468 + 0.266427i
\(560\) −2.01862 + 9.36330i −0.0853023 + 0.395672i
\(561\) −42.8164 + 53.6901i −1.80771 + 2.26680i
\(562\) −3.35276 0.505347i −0.141428 0.0213168i
\(563\) −31.5850 + 21.5343i −1.33115 + 0.907561i −0.999359 0.0357924i \(-0.988604\pi\)
−0.331789 + 0.943354i \(0.607652\pi\)
\(564\) 23.9334 16.3175i 1.00778 0.687091i
\(565\) 6.95839 + 1.04881i 0.292742 + 0.0441237i
\(566\) 1.47116 1.84478i 0.0618375 0.0775418i
\(567\) 20.0803 9.97025i 0.843291 0.418711i
\(568\) −9.62234 12.0660i −0.403744 0.506279i
\(569\) 17.3277 + 30.0125i 0.726417 + 1.25819i 0.958388 + 0.285468i \(0.0921490\pi\)
−0.231972 + 0.972723i \(0.574518\pi\)
\(570\) −0.525541 + 0.910263i −0.0220125 + 0.0381267i
\(571\) 27.2163 4.10220i 1.13897 0.171672i 0.447641 0.894213i \(-0.352264\pi\)
0.691327 + 0.722542i \(0.257026\pi\)
\(572\) 8.81976 8.18354i 0.368773 0.342171i
\(573\) −7.90767 3.80814i −0.330348 0.159087i
\(574\) −2.68182 + 4.77720i −0.111937 + 0.199396i
\(575\) −20.4397 + 9.84324i −0.852394 + 0.410491i
\(576\) 0.308085 0.784988i 0.0128369 0.0327078i
\(577\) 0.0168873 0.225345i 0.000703027 0.00938125i −0.996841 0.0794199i \(-0.974693\pi\)
0.997544 + 0.0700386i \(0.0223123\pi\)
\(578\) −7.97398 2.45965i −0.331674 0.102308i
\(579\) −1.04705 13.9719i −0.0435139 0.580652i
\(580\) 1.76877 7.74949i 0.0734442 0.321780i
\(581\) 32.1957 + 4.45630i 1.33570 + 0.184878i
\(582\) 1.66550 + 7.29705i 0.0690373 + 0.302472i
\(583\) 58.7345 18.1172i 2.43254 0.750338i
\(584\) 4.07886 + 10.3928i 0.168785 + 0.430056i
\(585\) 0.135995 + 0.126185i 0.00562271 + 0.00521711i
\(586\) −2.56126 1.74624i −0.105805 0.0721365i
\(587\) 15.8494 0.654174 0.327087 0.944994i \(-0.393933\pi\)
0.327087 + 0.944994i \(0.393933\pi\)
\(588\) −5.42361 21.3724i −0.223666 0.881382i
\(589\) −6.49129 −0.267469
\(590\) −1.35623 0.924665i −0.0558353 0.0380679i
\(591\) 10.7829 + 10.0051i 0.443549 + 0.411553i
\(592\) −11.4982 29.2970i −0.472574 1.20410i
\(593\) −32.8943 + 10.1466i −1.35081 + 0.416669i −0.883916 0.467645i \(-0.845103\pi\)
−0.466892 + 0.884314i \(0.654626\pi\)
\(594\) 2.73665 + 11.9901i 0.112286 + 0.491958i
\(595\) −13.5782 + 12.9070i −0.556653 + 0.529135i
\(596\) 6.93317 30.3762i 0.283994 1.24426i
\(597\) −2.96990 39.6305i −0.121550 1.62197i
\(598\) 2.07208 + 0.639152i 0.0847337 + 0.0261369i
\(599\) −1.49370 + 19.9321i −0.0610311 + 0.814404i 0.879760 + 0.475418i \(0.157703\pi\)
−0.940791 + 0.338986i \(0.889916\pi\)
\(600\) 3.20777 8.17326i 0.130957 0.333672i
\(601\) 25.0940 12.0846i 1.02361 0.492942i 0.154721 0.987958i \(-0.450552\pi\)
0.868884 + 0.495016i \(0.164838\pi\)
\(602\) −0.479621 + 7.63467i −0.0195479 + 0.311166i
\(603\) 0.136430 + 0.0657014i 0.00555587 + 0.00267557i
\(604\) 4.68036 4.34274i 0.190441 0.176704i
\(605\) −33.4849 + 5.04704i −1.36136 + 0.205191i
\(606\) −4.33060 + 7.50081i −0.175918 + 0.304700i
\(607\) −8.56172 14.8293i −0.347510 0.601904i 0.638297 0.769790i \(-0.279639\pi\)
−0.985806 + 0.167886i \(0.946306\pi\)
\(608\) −3.83229 4.80554i −0.155420 0.194890i
\(609\) 3.97130 + 16.4806i 0.160925 + 0.667828i
\(610\) −1.16199 + 1.45709i −0.0470477 + 0.0589959i
\(611\) −9.09313 1.37057i −0.367869 0.0554473i
\(612\) 1.63058 1.11171i 0.0659123 0.0449382i
\(613\) −18.6924 + 12.7443i −0.754979 + 0.514736i −0.878580 0.477596i \(-0.841508\pi\)
0.123600 + 0.992332i \(0.460556\pi\)
\(614\) 0.271137 + 0.0408673i 0.0109422 + 0.00164927i
\(615\) 6.75888 8.47536i 0.272544 0.341760i
\(616\) 23.6314 0.285027i 0.952136 0.0114841i
\(617\) −2.72160 3.41278i −0.109567 0.137393i 0.724024 0.689775i \(-0.242291\pi\)
−0.833591 + 0.552382i \(0.813719\pi\)
\(618\) −1.20776 2.09190i −0.0485832 0.0841486i
\(619\) −9.66748 + 16.7446i −0.388569 + 0.673021i −0.992257 0.124200i \(-0.960364\pi\)
0.603689 + 0.797220i \(0.293697\pi\)
\(620\) −8.59817 + 1.29597i −0.345311 + 0.0520472i
\(621\) 23.6089 21.9059i 0.947393 0.879052i
\(622\) −3.96826 1.91101i −0.159113 0.0766247i
\(623\) 1.67690 + 4.12566i 0.0671837 + 0.165291i
\(624\) 4.91993 2.36931i 0.196955 0.0948485i
\(625\) 2.87462 7.32442i 0.114985 0.292977i
\(626\) −0.501184 + 6.68784i −0.0200314 + 0.267300i
\(627\) −16.1248 4.97383i −0.643961 0.198636i
\(628\) −0.894190 11.9321i −0.0356821 0.476144i
\(629\) 13.6974 60.0121i 0.546150 2.39284i
\(630\) 0.0152806 + 0.175479i 0.000608794 + 0.00699123i
\(631\) −6.18665 27.1055i −0.246287 1.07905i −0.935175 0.354185i \(-0.884758\pi\)
0.688888 0.724867i \(-0.258099\pi\)
\(632\) −8.32672 + 2.56845i −0.331219 + 0.102168i
\(633\) −1.08550 2.76581i −0.0431447 0.109931i
\(634\) 3.40737 + 3.16158i 0.135324 + 0.125562i
\(635\) −2.31897 1.58105i −0.0920255 0.0627419i
\(636\) 30.1119 1.19402
\(637\) −3.35277 + 6.14483i −0.132841 + 0.243467i
\(638\) −8.78258 −0.347706
\(639\) 1.52579 + 1.04026i 0.0603592 + 0.0411522i
\(640\) −7.94029 7.36751i −0.313867 0.291226i
\(641\) 7.43529 + 18.9448i 0.293676 + 0.748275i 0.999215 + 0.0396040i \(0.0126096\pi\)
−0.705539 + 0.708671i \(0.749295\pi\)
\(642\) 9.73969 3.00430i 0.384395 0.118570i
\(643\) 3.24417 + 14.2137i 0.127938 + 0.560532i 0.997744 + 0.0671378i \(0.0213867\pi\)
−0.869806 + 0.493394i \(0.835756\pi\)
\(644\) −15.2689 25.7249i −0.601679 1.01370i
\(645\) 3.36823 14.7572i 0.132624 0.581063i
\(646\) −0.265260 3.53965i −0.0104365 0.139266i
\(647\) −6.41915 1.98005i −0.252363 0.0778437i 0.165993 0.986127i \(-0.446917\pi\)
−0.418356 + 0.908283i \(0.637393\pi\)
\(648\) −0.879714 + 11.7390i −0.0345584 + 0.461150i
\(649\) 9.62767 24.5309i 0.377919 0.962922i
\(650\) −1.21390 + 0.584585i −0.0476132 + 0.0229293i
\(651\) 15.1950 10.6305i 0.595539 0.416641i
\(652\) 36.9905 + 17.8137i 1.44866 + 0.697639i
\(653\) −24.2765 + 22.5253i −0.950012 + 0.881482i −0.993062 0.117591i \(-0.962483\pi\)
0.0430502 + 0.999073i \(0.486292\pi\)
\(654\) 5.10329 0.769197i 0.199554 0.0300780i
\(655\) −7.24328 + 12.5457i −0.283018 + 0.490202i
\(656\) 9.35884 + 16.2100i 0.365401 + 0.632894i
\(657\) −0.832927 1.04446i −0.0324956 0.0407481i
\(658\) −5.52566 6.76007i −0.215413 0.263535i
\(659\) −26.5080 + 33.2400i −1.03261 + 1.29485i −0.0780066 + 0.996953i \(0.524856\pi\)
−0.954599 + 0.297894i \(0.903716\pi\)
\(660\) −22.3514 3.36893i −0.870027 0.131135i
\(661\) −8.94015 + 6.09529i −0.347731 + 0.237079i −0.724572 0.689199i \(-0.757963\pi\)
0.376841 + 0.926278i \(0.377010\pi\)
\(662\) −3.58244 + 2.44247i −0.139236 + 0.0949293i
\(663\) 10.5610 + 1.59182i 0.410155 + 0.0618210i
\(664\) −10.6408 + 13.3431i −0.412942 + 0.517813i
\(665\) −4.17129 1.94716i −0.161756 0.0755078i
\(666\) −0.360854 0.452497i −0.0139828 0.0175339i
\(667\) 11.4997 + 19.9180i 0.445268 + 0.771227i
\(668\) 8.44129 14.6207i 0.326603 0.565693i
\(669\) −46.0818 + 6.94572i −1.78163 + 0.268537i
\(670\) 0.267442 0.248150i 0.0103322 0.00958686i
\(671\) −26.9573 12.9820i −1.04068 0.501163i
\(672\) 16.8405 + 4.97299i 0.649637 + 0.191837i
\(673\) −26.5658 + 12.7934i −1.02404 + 0.493151i −0.869028 0.494762i \(-0.835255\pi\)
−0.155010 + 0.987913i \(0.549541\pi\)
\(674\) −1.54983 + 3.94890i −0.0596972 + 0.152106i
\(675\) −1.49544 + 19.9552i −0.0575594 + 0.768077i
\(676\) −1.78809 0.551551i −0.0687725 0.0212135i
\(677\) −3.39107 45.2506i −0.130329 1.73912i −0.553302 0.832980i \(-0.686633\pi\)
0.422973 0.906142i \(-0.360986\pi\)
\(678\) 0.847595 3.71356i 0.0325517 0.142618i
\(679\) −31.2053 + 10.0393i −1.19755 + 0.385273i
\(680\) −2.18889 9.59015i −0.0839401 0.367766i
\(681\) 31.9579 9.85769i 1.22463 0.377748i
\(682\) 3.50997 + 8.94327i 0.134404 + 0.342455i
\(683\) −25.9522 24.0802i −0.993035 0.921402i 0.00387182 0.999993i \(-0.498768\pi\)
−0.996907 + 0.0785905i \(0.974958\pi\)
\(684\) 0.400673 + 0.273174i 0.0153201 + 0.0104451i
\(685\) 4.25136 0.162436
\(686\) −6.27591 + 2.18746i −0.239615 + 0.0835177i
\(687\) −24.4474 −0.932728
\(688\) 21.5945 + 14.7229i 0.823282 + 0.561304i
\(689\) −7.00756 6.50206i −0.266967 0.247709i
\(690\) −1.48834 3.79222i −0.0566601 0.144368i
\(691\) 29.5497 9.11486i 1.12412 0.346746i 0.323686 0.946164i \(-0.395078\pi\)
0.800436 + 0.599419i \(0.204602\pi\)
\(692\) −4.75537 20.8347i −0.180772 0.792015i
\(693\) −2.69197 + 0.866055i −0.102260 + 0.0328987i
\(694\) −1.57286 + 6.89115i −0.0597050 + 0.261585i
\(695\) −1.88399 25.1402i −0.0714640 0.953621i
\(696\) −8.50586 2.62371i −0.322414 0.0994515i
\(697\) −2.73578 + 36.5065i −0.103625 + 1.38278i
\(698\) 4.16053 10.6009i 0.157478 0.401249i
\(699\) −21.4915 + 10.3497i −0.812882 + 0.391463i
\(700\) 17.8265 + 5.26416i 0.673779 + 0.198966i
\(701\) 6.49535 + 3.12800i 0.245326 + 0.118143i 0.552507 0.833508i \(-0.313671\pi\)
−0.307181 + 0.951651i \(0.599386\pi\)
\(702\) 1.40212 1.30098i 0.0529197 0.0491023i
\(703\) 14.9567 2.25437i 0.564104 0.0850250i
\(704\) 16.3091 28.2481i 0.614671 1.06464i
\(705\) 8.63817 + 14.9618i 0.325332 + 0.563492i
\(706\) 1.45450 + 1.82389i 0.0547409 + 0.0686429i
\(707\) −34.3725 16.0452i −1.29271 0.603440i
\(708\) 8.04935 10.0936i 0.302513 0.379340i
\(709\) −25.4003 3.82847i −0.953927 0.143781i −0.346406 0.938085i \(-0.612598\pi\)
−0.607521 + 0.794303i \(0.707836\pi\)
\(710\) 3.67610 2.50632i 0.137962 0.0940606i
\(711\) 0.861494 0.587357i 0.0323086 0.0220276i
\(712\) −2.31229 0.348522i −0.0866567 0.0130614i
\(713\) 15.6865 19.6703i 0.587466 0.736659i
\(714\) 6.41764 + 7.85132i 0.240174 + 0.293828i
\(715\) 4.47409 + 5.61034i 0.167322 + 0.209815i
\(716\) 11.2945 + 19.5627i 0.422096 + 0.731091i
\(717\) 8.22508 14.2462i 0.307171 0.532036i
\(718\) −4.21390 + 0.635143i −0.157261 + 0.0237033i
\(719\) −23.3320 + 21.6489i −0.870135 + 0.807367i −0.982493 0.186300i \(-0.940350\pi\)
0.112358 + 0.993668i \(0.464160\pi\)
\(720\) 0.542208 + 0.261114i 0.0202069 + 0.00973113i
\(721\) 8.66840 6.06444i 0.322828 0.225851i
\(722\) −5.35729 + 2.57993i −0.199378 + 0.0960152i
\(723\) −0.338850 + 0.863376i −0.0126020 + 0.0321093i
\(724\) −1.02853 + 13.7248i −0.0382252 + 0.510080i
\(725\) −13.6556 4.21219i −0.507155 0.156437i
\(726\) 1.36979 + 18.2786i 0.0508376 + 0.678381i
\(727\) −8.24767 + 36.1354i −0.305889 + 1.34019i 0.555193 + 0.831722i \(0.312645\pi\)
−0.861082 + 0.508467i \(0.830213\pi\)
\(728\) −1.87603 3.16073i −0.0695305 0.117144i
\(729\) −6.30306 27.6155i −0.233447 1.02280i
\(730\) −3.07563 + 0.948708i −0.113834 + 0.0351132i
\(731\) 18.6754 + 47.5841i 0.690734 + 1.75996i
\(732\) −10.7451 9.97001i −0.397151 0.368502i
\(733\) −27.7268 18.9038i −1.02411 0.698229i −0.0699618 0.997550i \(-0.522288\pi\)
−0.954153 + 0.299320i \(0.903240\pi\)
\(734\) 2.21089 0.0816053
\(735\) 12.9530 2.27313i 0.477780 0.0838457i
\(736\) 23.8230 0.878126
\(737\) 4.83942 + 3.29946i 0.178262 + 0.121537i
\(738\) 0.252323 + 0.234122i 0.00928814 + 0.00861813i
\(739\) 5.17710 + 13.1910i 0.190443 + 0.485240i 0.993921 0.110094i \(-0.0351150\pi\)
−0.803478 + 0.595334i \(0.797020\pi\)
\(740\) 19.3612 5.97213i 0.711731 0.219540i
\(741\) 0.583986 + 2.55861i 0.0214533 + 0.0939929i
\(742\) −0.787379 9.04205i −0.0289056 0.331944i
\(743\) 7.36489 32.2677i 0.270192 1.18379i −0.639595 0.768712i \(-0.720898\pi\)
0.909787 0.415075i \(-0.136245\pi\)
\(744\) 0.727668 + 9.71006i 0.0266776 + 0.355988i
\(745\) 17.7573 + 5.47742i 0.650579 + 0.200677i
\(746\) 0.360975 4.81687i 0.0132162 0.176358i
\(747\) 0.746069 1.90095i 0.0272972 0.0695522i
\(748\) 68.7754 33.1205i 2.51468 1.21100i
\(749\) 16.8087 + 41.3542i 0.614177 + 1.51105i
\(750\) 5.31773 + 2.56088i 0.194176 + 0.0935102i
\(751\) 0.462292 0.428944i 0.0168693 0.0156524i −0.671693 0.740830i \(-0.734433\pi\)
0.688562 + 0.725177i \(0.258242\pi\)
\(752\) −29.4972 + 4.44599i −1.07565 + 0.162128i
\(753\) 4.87507 8.44386i 0.177657 0.307711i
\(754\) 0.682959 + 1.18292i 0.0248719 + 0.0430794i
\(755\) 2.37426 + 2.97722i 0.0864080 + 0.108352i
\(756\) −26.3856 + 0.318246i −0.959635 + 0.0115745i
\(757\) −14.7994 + 18.5578i −0.537893 + 0.674496i −0.974300 0.225253i \(-0.927679\pi\)
0.436407 + 0.899749i \(0.356251\pi\)
\(758\) 4.38093 + 0.660320i 0.159123 + 0.0239839i
\(759\) 54.0383 36.8427i 1.96147 1.33731i
\(760\) 1.99713 1.36162i 0.0724437 0.0493913i
\(761\) −25.2672 3.80842i −0.915936 0.138055i −0.325874 0.945413i \(-0.605659\pi\)
−0.590062 + 0.807358i \(0.700897\pi\)
\(762\) −0.947216 + 1.18777i −0.0343140 + 0.0430284i
\(763\) 5.29507 + 21.9742i 0.191695 + 0.795518i
\(764\) 6.08290 + 7.62771i 0.220072 + 0.275961i
\(765\) 0.588518 + 1.01934i 0.0212779 + 0.0368544i
\(766\) 2.52315 4.37022i 0.0911651 0.157903i
\(767\) −4.05272 + 0.610850i −0.146335 + 0.0220565i
\(768\) 8.22211 7.62900i 0.296690 0.275288i
\(769\) −1.34618 0.648284i −0.0485443 0.0233777i 0.409454 0.912331i \(-0.365719\pi\)
−0.457998 + 0.888953i \(0.651433\pi\)
\(770\) −0.427173 + 6.79980i −0.0153943 + 0.245048i
\(771\) 23.3448 11.2422i 0.840741 0.404880i
\(772\) −5.69000 + 14.4979i −0.204787 + 0.521790i
\(773\) 1.65729