Properties

Label 165.2.r.a.29.10
Level $165$
Weight $2$
Character 165.29
Analytic conductor $1.318$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 165 = 3 \cdot 5 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 165.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.31753163335\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(20\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 29.10
Character \(\chi\) \(=\) 165.29
Dual form 165.2.r.a.74.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.303223 + 0.417350i) q^{2} +(-0.337382 + 1.69887i) q^{3} +(0.535797 + 1.64901i) q^{4} +(0.723962 + 2.11563i) q^{5} +(-0.606723 - 0.655944i) q^{6} +(-0.781546 - 2.40535i) q^{7} +(-1.83193 - 0.595230i) q^{8} +(-2.77235 - 1.14634i) q^{9} +O(q^{10})\) \(q+(-0.303223 + 0.417350i) q^{2} +(-0.337382 + 1.69887i) q^{3} +(0.535797 + 1.64901i) q^{4} +(0.723962 + 2.11563i) q^{5} +(-0.606723 - 0.655944i) q^{6} +(-0.781546 - 2.40535i) q^{7} +(-1.83193 - 0.595230i) q^{8} +(-2.77235 - 1.14634i) q^{9} +(-1.10248 - 0.339360i) q^{10} +(-0.813609 - 3.21528i) q^{11} +(-2.98223 + 0.353903i) q^{12} +(4.13780 + 3.00629i) q^{13} +(1.24086 + 0.403178i) q^{14} +(-3.83844 + 0.516145i) q^{15} +(-2.00157 + 1.45422i) q^{16} +(2.17976 + 3.00018i) q^{17} +(1.31906 - 0.809443i) q^{18} +(1.97662 + 0.642242i) q^{19} +(-3.10080 + 2.32737i) q^{20} +(4.35007 - 0.516225i) q^{21} +(1.58860 + 0.635387i) q^{22} +2.64175 q^{23} +(1.62928 - 2.91140i) q^{24} +(-3.95176 + 3.06327i) q^{25} +(-2.50935 + 0.815337i) q^{26} +(2.88283 - 4.32311i) q^{27} +(3.54770 - 2.57756i) q^{28} +(-1.79775 - 5.53289i) q^{29} +(0.948488 - 1.75848i) q^{30} +(4.64730 + 3.37646i) q^{31} -5.12872i q^{32} +(5.73686 - 0.297439i) q^{33} -1.91308 q^{34} +(4.52301 - 3.39484i) q^{35} +(0.404916 - 5.18584i) q^{36} +(-8.16423 + 2.65272i) q^{37} +(-0.867394 + 0.630199i) q^{38} +(-6.50333 + 6.01533i) q^{39} +(-0.0669628 - 4.30661i) q^{40} +(-0.856736 + 2.63676i) q^{41} +(-1.10359 + 1.97203i) q^{42} +8.05145 q^{43} +(4.86611 - 3.06439i) q^{44} +(0.418156 - 6.69516i) q^{45} +(-0.801039 + 1.10254i) q^{46} +(1.10039 - 3.38664i) q^{47} +(-1.79525 - 3.89104i) q^{48} +(0.488224 - 0.354715i) q^{49} +(-0.0801929 - 2.57812i) q^{50} +(-5.83233 + 2.69092i) q^{51} +(-2.74039 + 8.43405i) q^{52} +(5.04886 + 3.66821i) q^{53} +(0.930112 + 2.51401i) q^{54} +(6.21332 - 4.04904i) q^{55} +4.87163i q^{56} +(-1.75796 + 3.14134i) q^{57} +(2.85427 + 0.927409i) q^{58} +(3.98792 - 1.29575i) q^{59} +(-2.90775 - 6.05308i) q^{60} +(-4.38022 - 6.02886i) q^{61} +(-2.81833 + 0.915732i) q^{62} +(-0.590635 + 7.56438i) q^{63} +(-1.86266 - 1.35330i) q^{64} +(-3.36457 + 10.9305i) q^{65} +(-1.61541 + 2.48447i) q^{66} -11.2044i q^{67} +(-3.77942 + 5.20193i) q^{68} +(-0.891281 + 4.48801i) q^{69} +(0.0453571 + 2.91707i) q^{70} +(0.927714 + 1.27689i) q^{71} +(4.39641 + 3.75020i) q^{72} +(-2.17457 - 6.69263i) q^{73} +(1.36847 - 4.21171i) q^{74} +(-3.87085 - 7.74703i) q^{75} +3.60358i q^{76} +(-7.09801 + 4.46990i) q^{77} +(-0.538545 - 4.53815i) q^{78} +(-0.759973 + 1.04601i) q^{79} +(-4.52565 - 3.18177i) q^{80} +(6.37181 + 6.35611i) q^{81} +(-0.840672 - 1.15709i) q^{82} +(-6.83795 - 9.41163i) q^{83} +(3.18201 + 6.89672i) q^{84} +(-4.76919 + 6.78356i) q^{85} +(-2.44138 + 3.36027i) q^{86} +(10.0062 - 1.18744i) q^{87} +(-0.423358 + 6.37446i) q^{88} +6.15081i q^{89} +(2.66743 + 2.20464i) q^{90} +(3.99730 - 12.3024i) q^{91} +(1.41544 + 4.35629i) q^{92} +(-7.30410 + 6.75602i) q^{93} +(1.07975 + 1.48615i) q^{94} +(0.0722515 + 4.64674i) q^{95} +(8.71305 + 1.73034i) q^{96} +(1.61795 - 2.22691i) q^{97} +0.311318i q^{98} +(-1.43020 + 9.84655i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 4q^{4} - 10q^{6} - 10q^{9} + O(q^{10}) \) \( 80q + 4q^{4} - 10q^{6} - 10q^{9} - 2q^{15} - 60q^{16} - 20q^{19} - 30q^{24} + 6q^{25} + 10q^{30} - 20q^{31} - 56q^{34} + 2q^{36} - 50q^{39} + 60q^{40} - 92q^{45} - 40q^{46} + 72q^{49} + 30q^{51} + 4q^{55} + 54q^{60} + 96q^{64} - 42q^{66} + 30q^{69} - 86q^{70} + 2q^{75} - 66q^{81} + 140q^{84} - 30q^{85} + 120q^{90} + 48q^{91} + 60q^{94} - 70q^{96} + 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).

\(n\) \(46\) \(56\) \(67\)
\(\chi(n)\) \(e\left(\frac{7}{10}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.303223 + 0.417350i −0.214411 + 0.295111i −0.902652 0.430370i \(-0.858383\pi\)
0.688242 + 0.725482i \(0.258383\pi\)
\(3\) −0.337382 + 1.69887i −0.194788 + 0.980845i
\(4\) 0.535797 + 1.64901i 0.267898 + 0.824507i
\(5\) 0.723962 + 2.11563i 0.323766 + 0.946137i
\(6\) −0.606723 0.655944i −0.247694 0.267788i
\(7\) −0.781546 2.40535i −0.295396 0.909137i −0.983088 0.183134i \(-0.941376\pi\)
0.687692 0.726003i \(-0.258624\pi\)
\(8\) −1.83193 0.595230i −0.647685 0.210446i
\(9\) −2.77235 1.14634i −0.924115 0.382114i
\(10\) −1.10248 0.339360i −0.348634 0.107315i
\(11\) −0.813609 3.21528i −0.245312 0.969444i
\(12\) −2.98223 + 0.353903i −0.860897 + 0.102163i
\(13\) 4.13780 + 3.00629i 1.14762 + 0.833794i 0.988163 0.153411i \(-0.0490257\pi\)
0.159457 + 0.987205i \(0.449026\pi\)
\(14\) 1.24086 + 0.403178i 0.331633 + 0.107754i
\(15\) −3.83844 + 0.516145i −0.991080 + 0.133268i
\(16\) −2.00157 + 1.45422i −0.500392 + 0.363556i
\(17\) 2.17976 + 3.00018i 0.528668 + 0.727650i 0.986927 0.161169i \(-0.0515266\pi\)
−0.458258 + 0.888819i \(0.651527\pi\)
\(18\) 1.31906 0.809443i 0.310906 0.190787i
\(19\) 1.97662 + 0.642242i 0.453467 + 0.147340i 0.526840 0.849964i \(-0.323377\pi\)
−0.0733735 + 0.997305i \(0.523377\pi\)
\(20\) −3.10080 + 2.32737i −0.693360 + 0.520416i
\(21\) 4.35007 0.516225i 0.949262 0.112649i
\(22\) 1.58860 + 0.635387i 0.338691 + 0.135465i
\(23\) 2.64175 0.550844 0.275422 0.961323i \(-0.411182\pi\)
0.275422 + 0.961323i \(0.411182\pi\)
\(24\) 1.62928 2.91140i 0.332576 0.594287i
\(25\) −3.95176 + 3.06327i −0.790352 + 0.612654i
\(26\) −2.50935 + 0.815337i −0.492124 + 0.159901i
\(27\) 2.88283 4.32311i 0.554801 0.831983i
\(28\) 3.54770 2.57756i 0.670453 0.487113i
\(29\) −1.79775 5.53289i −0.333833 1.02743i −0.967294 0.253658i \(-0.918366\pi\)
0.633461 0.773775i \(-0.281634\pi\)
\(30\) 0.948488 1.75848i 0.173169 0.321053i
\(31\) 4.64730 + 3.37646i 0.834680 + 0.606431i 0.920879 0.389847i \(-0.127472\pi\)
−0.0861994 + 0.996278i \(0.527472\pi\)
\(32\) 5.12872i 0.906638i
\(33\) 5.73686 0.297439i 0.998659 0.0517776i
\(34\) −1.91308 −0.328090
\(35\) 4.52301 3.39484i 0.764529 0.573833i
\(36\) 0.404916 5.18584i 0.0674861 0.864307i
\(37\) −8.16423 + 2.65272i −1.34219 + 0.436104i −0.890059 0.455846i \(-0.849337\pi\)
−0.452133 + 0.891951i \(0.649337\pi\)
\(38\) −0.867394 + 0.630199i −0.140710 + 0.102232i
\(39\) −6.50333 + 6.01533i −1.04137 + 0.963224i
\(40\) −0.0669628 4.30661i −0.0105877 0.680934i
\(41\) −0.856736 + 2.63676i −0.133800 + 0.411793i −0.995401 0.0957919i \(-0.969462\pi\)
0.861602 + 0.507585i \(0.169462\pi\)
\(42\) −1.10359 + 1.97203i −0.170288 + 0.304291i
\(43\) 8.05145 1.22783 0.613917 0.789370i \(-0.289593\pi\)
0.613917 + 0.789370i \(0.289593\pi\)
\(44\) 4.86611 3.06439i 0.733594 0.461974i
\(45\) 0.418156 6.69516i 0.0623350 0.998055i
\(46\) −0.801039 + 1.10254i −0.118107 + 0.162560i
\(47\) 1.10039 3.38664i 0.160508 0.493993i −0.838169 0.545410i \(-0.816374\pi\)
0.998677 + 0.0514175i \(0.0163739\pi\)
\(48\) −1.79525 3.89104i −0.259122 0.561623i
\(49\) 0.488224 0.354715i 0.0697462 0.0506736i
\(50\) −0.0801929 2.57812i −0.0113410 0.364601i
\(51\) −5.83233 + 2.69092i −0.816690 + 0.376805i
\(52\) −2.74039 + 8.43405i −0.380023 + 1.16959i
\(53\) 5.04886 + 3.66821i 0.693514 + 0.503868i 0.877814 0.479003i \(-0.159002\pi\)
−0.184299 + 0.982870i \(0.559002\pi\)
\(54\) 0.930112 + 2.51401i 0.126572 + 0.342114i
\(55\) 6.21332 4.04904i 0.837803 0.545972i
\(56\) 4.87163i 0.650999i
\(57\) −1.75796 + 3.14134i −0.232848 + 0.416081i
\(58\) 2.85427 + 0.927409i 0.374784 + 0.121775i
\(59\) 3.98792 1.29575i 0.519183 0.168693i −0.0376915 0.999289i \(-0.512000\pi\)
0.556875 + 0.830597i \(0.312000\pi\)
\(60\) −2.90775 6.05308i −0.375389 0.781450i
\(61\) −4.38022 6.02886i −0.560830 0.771916i 0.430602 0.902542i \(-0.358301\pi\)
−0.991432 + 0.130626i \(0.958301\pi\)
\(62\) −2.81833 + 0.915732i −0.357929 + 0.116298i
\(63\) −0.590635 + 7.56438i −0.0744131 + 0.953022i
\(64\) −1.86266 1.35330i −0.232833 0.169163i
\(65\) −3.36457 + 10.9305i −0.417324 + 1.35576i
\(66\) −1.61541 + 2.48447i −0.198843 + 0.305817i
\(67\) 11.2044i 1.36884i −0.729087 0.684421i \(-0.760055\pi\)
0.729087 0.684421i \(-0.239945\pi\)
\(68\) −3.77942 + 5.20193i −0.458322 + 0.630827i
\(69\) −0.891281 + 4.48801i −0.107298 + 0.540292i
\(70\) 0.0453571 + 2.91707i 0.00542121 + 0.348657i
\(71\) 0.927714 + 1.27689i 0.110099 + 0.151539i 0.860511 0.509432i \(-0.170145\pi\)
−0.750411 + 0.660971i \(0.770145\pi\)
\(72\) 4.39641 + 3.75020i 0.518122 + 0.441965i
\(73\) −2.17457 6.69263i −0.254514 0.783313i −0.993925 0.110059i \(-0.964896\pi\)
0.739411 0.673254i \(-0.235104\pi\)
\(74\) 1.36847 4.21171i 0.159081 0.489601i
\(75\) −3.87085 7.74703i −0.446968 0.894550i
\(76\) 3.60358i 0.413359i
\(77\) −7.09801 + 4.46990i −0.808893 + 0.509393i
\(78\) −0.538545 4.53815i −0.0609782 0.513844i
\(79\) −0.759973 + 1.04601i −0.0855037 + 0.117686i −0.849626 0.527386i \(-0.823172\pi\)
0.764122 + 0.645071i \(0.223172\pi\)
\(80\) −4.52565 3.18177i −0.505983 0.355732i
\(81\) 6.37181 + 6.35611i 0.707978 + 0.706234i
\(82\) −0.840672 1.15709i −0.0928366 0.127779i
\(83\) −6.83795 9.41163i −0.750563 1.03306i −0.997941 0.0641418i \(-0.979569\pi\)
0.247378 0.968919i \(-0.420431\pi\)
\(84\) 3.18201 + 6.89672i 0.347186 + 0.752494i
\(85\) −4.76919 + 6.78356i −0.517292 + 0.735781i
\(86\) −2.44138 + 3.36027i −0.263261 + 0.362348i
\(87\) 10.0062 1.18744i 1.07278 0.127307i
\(88\) −0.423358 + 6.37446i −0.0451301 + 0.679520i
\(89\) 6.15081i 0.651984i 0.945373 + 0.325992i \(0.105698\pi\)
−0.945373 + 0.325992i \(0.894302\pi\)
\(90\) 2.66743 + 2.20464i 0.281172 + 0.232390i
\(91\) 3.99730 12.3024i 0.419030 1.28964i
\(92\) 1.41544 + 4.35629i 0.147570 + 0.454174i
\(93\) −7.30410 + 6.75602i −0.757400 + 0.700567i
\(94\) 1.07975 + 1.48615i 0.111368 + 0.153285i
\(95\) 0.0722515 + 4.64674i 0.00741284 + 0.476746i
\(96\) 8.71305 + 1.73034i 0.889272 + 0.176602i
\(97\) 1.61795 2.22691i 0.164278 0.226109i −0.718940 0.695072i \(-0.755372\pi\)
0.883218 + 0.468963i \(0.155372\pi\)
\(98\) 0.311318i 0.0314479i
\(99\) −1.43020 + 9.84655i −0.143741 + 0.989615i
\(100\) −7.16871 4.87521i −0.716871 0.487521i
\(101\) 6.07810 + 4.41600i 0.604793 + 0.439408i 0.847577 0.530672i \(-0.178060\pi\)
−0.242784 + 0.970080i \(0.578060\pi\)
\(102\) 0.645438 3.25007i 0.0639079 0.321805i
\(103\) −13.8164 + 4.48920i −1.36137 + 0.442334i −0.896499 0.443046i \(-0.853898\pi\)
−0.464867 + 0.885381i \(0.653898\pi\)
\(104\) −5.79073 7.97026i −0.567828 0.781548i
\(105\) 4.24142 + 8.82939i 0.413920 + 0.861660i
\(106\) −3.06186 + 0.994858i −0.297394 + 0.0966291i
\(107\) −3.38762 1.10070i −0.327493 0.106409i 0.140656 0.990059i \(-0.455079\pi\)
−0.468149 + 0.883650i \(0.655079\pi\)
\(108\) 8.67348 + 2.43751i 0.834606 + 0.234550i
\(109\) 19.1935i 1.83840i −0.393787 0.919202i \(-0.628835\pi\)
0.393787 0.919202i \(-0.371165\pi\)
\(110\) −0.194153 + 3.82089i −0.0185117 + 0.364307i
\(111\) −1.75217 14.7650i −0.166308 1.40143i
\(112\) 5.06223 + 3.67793i 0.478336 + 0.347531i
\(113\) −2.76537 + 8.51092i −0.260144 + 0.800640i 0.732629 + 0.680629i \(0.238293\pi\)
−0.992772 + 0.120012i \(0.961707\pi\)
\(114\) −0.777985 1.68621i −0.0728650 0.157928i
\(115\) 1.91253 + 5.58897i 0.178344 + 0.521174i
\(116\) 8.16059 5.92901i 0.757692 0.550495i
\(117\) −8.02519 13.0778i −0.741929 1.20904i
\(118\) −0.668445 + 2.05726i −0.0615353 + 0.189386i
\(119\) 5.51290 7.58785i 0.505366 0.695577i
\(120\) 7.33897 + 1.33921i 0.669954 + 0.122253i
\(121\) −9.67608 + 5.23197i −0.879644 + 0.475633i
\(122\) 3.84433 0.348049
\(123\) −4.19048 2.34508i −0.377843 0.211449i
\(124\) −3.07782 + 9.47256i −0.276396 + 0.850661i
\(125\) −9.34166 6.14276i −0.835543 0.549425i
\(126\) −2.97790 2.54019i −0.265293 0.226298i
\(127\) −1.08484 + 0.788183i −0.0962640 + 0.0699399i −0.634876 0.772614i \(-0.718949\pi\)
0.538612 + 0.842554i \(0.318949\pi\)
\(128\) 10.8850 3.53675i 0.962108 0.312608i
\(129\) −2.71642 + 13.6784i −0.239167 + 1.20432i
\(130\) −3.54162 4.71858i −0.310621 0.413846i
\(131\) −18.2001 −1.59015 −0.795075 0.606511i \(-0.792569\pi\)
−0.795075 + 0.606511i \(0.792569\pi\)
\(132\) 3.56427 + 9.30079i 0.310230 + 0.809529i
\(133\) 5.25640i 0.455787i
\(134\) 4.67618 + 3.39744i 0.403960 + 0.293494i
\(135\) 11.2332 + 2.96922i 0.966796 + 0.255550i
\(136\) −2.20737 6.79357i −0.189280 0.582544i
\(137\) 9.76794 7.09682i 0.834531 0.606322i −0.0863064 0.996269i \(-0.527506\pi\)
0.920838 + 0.389946i \(0.127506\pi\)
\(138\) −1.60281 1.73284i −0.136441 0.147509i
\(139\) −0.0797187 + 0.0259022i −0.00676165 + 0.00219699i −0.312396 0.949952i \(-0.601132\pi\)
0.305634 + 0.952149i \(0.401132\pi\)
\(140\) 8.02155 + 5.63957i 0.677945 + 0.476630i
\(141\) 5.38223 + 3.01201i 0.453265 + 0.253657i
\(142\) −0.814213 −0.0683273
\(143\) 6.29951 15.7501i 0.526792 1.31709i
\(144\) 7.21607 1.73713i 0.601339 0.144761i
\(145\) 10.4040 7.80897i 0.864009 0.648499i
\(146\) 3.45255 + 1.12180i 0.285735 + 0.0928409i
\(147\) 0.437898 + 0.949105i 0.0361173 + 0.0782809i
\(148\) −8.74874 12.0416i −0.719142 0.989814i
\(149\) 12.8047 9.30313i 1.04900 0.762142i 0.0769772 0.997033i \(-0.475473\pi\)
0.972022 + 0.234890i \(0.0754731\pi\)
\(150\) 4.40695 + 0.733574i 0.359826 + 0.0598961i
\(151\) 7.36748 + 2.39384i 0.599557 + 0.194808i 0.593043 0.805171i \(-0.297926\pi\)
0.00651432 + 0.999979i \(0.497926\pi\)
\(152\) −3.23874 2.35308i −0.262697 0.190860i
\(153\) −2.60381 10.8163i −0.210506 0.874444i
\(154\) 0.286761 4.31773i 0.0231079 0.347933i
\(155\) −3.77887 + 12.2764i −0.303526 + 0.986063i
\(156\) −13.4038 7.50107i −1.07316 0.600567i
\(157\) 4.62394 + 1.50241i 0.369030 + 0.119905i 0.487661 0.873033i \(-0.337850\pi\)
−0.118630 + 0.992938i \(0.537850\pi\)
\(158\) −0.206113 0.634350i −0.0163975 0.0504662i
\(159\) −7.93523 + 7.33979i −0.629304 + 0.582083i
\(160\) 10.8505 3.71300i 0.857804 0.293538i
\(161\) −2.06465 6.35434i −0.162717 0.500792i
\(162\) −4.58480 + 0.731959i −0.360216 + 0.0575081i
\(163\) −8.38716 + 11.5439i −0.656933 + 0.904191i −0.999375 0.0353479i \(-0.988746\pi\)
0.342442 + 0.939539i \(0.388746\pi\)
\(164\) −4.80709 −0.375371
\(165\) 4.78254 + 11.9217i 0.372320 + 0.928104i
\(166\) 6.00137 0.465796
\(167\) 7.50419 10.3286i 0.580692 0.799254i −0.413079 0.910695i \(-0.635547\pi\)
0.993771 + 0.111441i \(0.0355467\pi\)
\(168\) −8.27629 1.64360i −0.638530 0.126807i
\(169\) 4.06641 + 12.5151i 0.312800 + 0.962701i
\(170\) −1.38499 4.04735i −0.106224 0.310418i
\(171\) −4.74364 4.04639i −0.362755 0.309435i
\(172\) 4.31394 + 13.2769i 0.328935 + 1.01236i
\(173\) −4.31646 1.40250i −0.328174 0.106630i 0.140296 0.990110i \(-0.455195\pi\)
−0.468470 + 0.883479i \(0.655195\pi\)
\(174\) −2.53853 + 4.53616i −0.192446 + 0.343885i
\(175\) 10.4567 + 7.11128i 0.790453 + 0.537562i
\(176\) 6.30423 + 5.25243i 0.475199 + 0.395917i
\(177\) 0.855868 + 7.21214i 0.0643310 + 0.542098i
\(178\) −2.56704 1.86506i −0.192408 0.139792i
\(179\) −10.3308 3.35667i −0.772158 0.250889i −0.103669 0.994612i \(-0.533058\pi\)
−0.668488 + 0.743723i \(0.733058\pi\)
\(180\) 11.2644 2.89770i 0.839603 0.215982i
\(181\) 7.41705 5.38880i 0.551305 0.400546i −0.276962 0.960881i \(-0.589327\pi\)
0.828266 + 0.560335i \(0.189327\pi\)
\(182\) 3.92234 + 5.39864i 0.290743 + 0.400174i
\(183\) 11.7201 5.40741i 0.866373 0.399727i
\(184\) −4.83951 1.57245i −0.356773 0.115923i
\(185\) −11.5228 15.3520i −0.847170 1.12870i
\(186\) −0.604857 5.09695i −0.0443503 0.373726i
\(187\) 7.87294 9.44950i 0.575727 0.691016i
\(188\) 6.17420 0.450300
\(189\) −12.6517 3.55550i −0.920273 0.258625i
\(190\) −1.96123 1.37884i −0.142282 0.100032i
\(191\) −1.03400 + 0.335966i −0.0748173 + 0.0243096i −0.346187 0.938166i \(-0.612524\pi\)
0.271369 + 0.962475i \(0.412524\pi\)
\(192\) 2.92752 2.70785i 0.211276 0.195422i
\(193\) −1.63164 + 1.18546i −0.117448 + 0.0853312i −0.644959 0.764217i \(-0.723126\pi\)
0.527511 + 0.849548i \(0.323126\pi\)
\(194\) 0.438804 + 1.35050i 0.0315043 + 0.0969603i
\(195\) −17.4344 9.40374i −1.24850 0.673416i
\(196\) 0.846519 + 0.615032i 0.0604656 + 0.0439308i
\(197\) 12.3074i 0.876867i 0.898764 + 0.438434i \(0.144467\pi\)
−0.898764 + 0.438434i \(0.855533\pi\)
\(198\) −3.67579 3.58259i −0.261227 0.254604i
\(199\) −2.23358 −0.158335 −0.0791673 0.996861i \(-0.525226\pi\)
−0.0791673 + 0.996861i \(0.525226\pi\)
\(200\) 9.06270 3.25949i 0.640829 0.230481i
\(201\) 19.0349 + 3.78018i 1.34262 + 0.266634i
\(202\) −3.68603 + 1.19767i −0.259348 + 0.0842674i
\(203\) −11.9035 + 8.64842i −0.835464 + 0.607000i
\(204\) −7.56231 8.17580i −0.529468 0.572421i
\(205\) −6.19865 + 0.0963819i −0.432933 + 0.00673160i
\(206\) 2.31586 7.12748i 0.161354 0.496595i
\(207\) −7.32386 3.02835i −0.509043 0.210485i
\(208\) −12.6539 −0.877390
\(209\) 0.456795 6.87791i 0.0315972 0.475755i
\(210\) −4.97104 0.907113i −0.343035 0.0625968i
\(211\) −7.34536 + 10.1100i −0.505676 + 0.696003i −0.983183 0.182625i \(-0.941541\pi\)
0.477507 + 0.878628i \(0.341541\pi\)
\(212\) −3.34377 + 10.2911i −0.229651 + 0.706792i
\(213\) −2.48227 + 1.14527i −0.170082 + 0.0784725i
\(214\) 1.48658 1.08006i 0.101621 0.0738317i
\(215\) 5.82894 + 17.0339i 0.397531 + 1.16170i
\(216\) −7.85439 + 6.20369i −0.534424 + 0.422108i
\(217\) 4.48950 13.8172i 0.304767 0.937976i
\(218\) 8.01041 + 5.81990i 0.542533 + 0.394174i
\(219\) 12.1036 1.43634i 0.817885 0.0970588i
\(220\) 10.0060 + 8.07638i 0.674604 + 0.544509i
\(221\) 18.9671i 1.27587i
\(222\) 6.69346 + 3.74581i 0.449236 + 0.251402i
\(223\) −12.9699 4.21419i −0.868531 0.282203i −0.159344 0.987223i \(-0.550938\pi\)
−0.709187 + 0.705020i \(0.750938\pi\)
\(224\) −12.3364 + 4.00833i −0.824258 + 0.267818i
\(225\) 14.4672 3.96238i 0.964479 0.264159i
\(226\) −2.71351 3.73483i −0.180500 0.248437i
\(227\) −14.7564 + 4.79464i −0.979416 + 0.318232i −0.754611 0.656172i \(-0.772175\pi\)
−0.224805 + 0.974404i \(0.572175\pi\)
\(228\) −6.12202 1.21578i −0.405441 0.0805172i
\(229\) −2.23835 1.62625i −0.147914 0.107466i 0.511367 0.859362i \(-0.329139\pi\)
−0.659281 + 0.751897i \(0.729139\pi\)
\(230\) −2.91248 0.896506i −0.192043 0.0591139i
\(231\) −5.19906 13.5667i −0.342073 0.892622i
\(232\) 11.2060i 0.735707i
\(233\) −16.5952 + 22.8414i −1.08719 + 1.49639i −0.235836 + 0.971793i \(0.575783\pi\)
−0.851353 + 0.524594i \(0.824217\pi\)
\(234\) 7.89144 + 0.616173i 0.515880 + 0.0402805i
\(235\) 7.96151 0.123792i 0.519352 0.00807532i
\(236\) 4.27343 + 5.88187i 0.278177 + 0.382877i
\(237\) −1.52064 1.64401i −0.0987764 0.106790i
\(238\) 1.49516 + 4.60162i 0.0969165 + 0.298278i
\(239\) 6.36557 19.5912i 0.411755 1.26725i −0.503367 0.864073i \(-0.667906\pi\)
0.915122 0.403178i \(-0.132094\pi\)
\(240\) 6.93230 6.61504i 0.447478 0.426999i
\(241\) 25.5410i 1.64524i 0.568593 + 0.822619i \(0.307488\pi\)
−0.568593 + 0.822619i \(0.692512\pi\)
\(242\) 0.750445 5.62476i 0.0482404 0.361574i
\(243\) −12.9480 + 8.68046i −0.830612 + 0.556852i
\(244\) 7.59476 10.4533i 0.486204 0.669203i
\(245\) 1.10390 + 0.776099i 0.0705256 + 0.0495831i
\(246\) 2.24937 1.03781i 0.143415 0.0661687i
\(247\) 6.24808 + 8.59975i 0.397556 + 0.547189i
\(248\) −6.50376 8.95166i −0.412989 0.568431i
\(249\) 18.2962 8.44150i 1.15947 0.534958i
\(250\) 5.39628 2.03612i 0.341291 0.128775i
\(251\) −1.10276 + 1.51782i −0.0696058 + 0.0958042i −0.842401 0.538852i \(-0.818858\pi\)
0.772795 + 0.634656i \(0.218858\pi\)
\(252\) −12.7902 + 3.07901i −0.805708 + 0.193959i
\(253\) −2.14935 8.49398i −0.135129 0.534012i
\(254\) 0.691753i 0.0434045i
\(255\) −9.91538 10.3909i −0.620925 0.650704i
\(256\) −0.401569 + 1.23590i −0.0250981 + 0.0772439i
\(257\) 1.46219 + 4.50015i 0.0912088 + 0.280712i 0.986247 0.165277i \(-0.0528519\pi\)
−0.895038 + 0.445989i \(0.852852\pi\)
\(258\) −4.88500 5.28130i −0.304127 0.328799i
\(259\) 12.7614 + 17.5646i 0.792957 + 1.09141i
\(260\) −19.8272 + 0.308291i −1.22963 + 0.0191194i
\(261\) −1.35861 + 17.3999i −0.0840956 + 1.07703i
\(262\) 5.51868 7.59581i 0.340945 0.469271i
\(263\) 15.6801i 0.966876i −0.875379 0.483438i \(-0.839388\pi\)
0.875379 0.483438i \(-0.160612\pi\)
\(264\) −10.6866 2.86986i −0.657713 0.176628i
\(265\) −4.10539 + 13.3372i −0.252192 + 0.819295i
\(266\) 2.19376 + 1.59386i 0.134508 + 0.0977257i
\(267\) −10.4494 2.07517i −0.639496 0.126999i
\(268\) 18.4763 6.00331i 1.12862 0.366710i
\(269\) 13.1887 + 18.1527i 0.804128 + 1.10679i 0.992203 + 0.124633i \(0.0397752\pi\)
−0.188075 + 0.982155i \(0.560225\pi\)
\(270\) −4.64535 + 3.78782i −0.282707 + 0.230520i
\(271\) 3.90298 1.26816i 0.237089 0.0770349i −0.188062 0.982157i \(-0.560221\pi\)
0.425152 + 0.905122i \(0.360221\pi\)
\(272\) −8.72585 2.83520i −0.529082 0.171909i
\(273\) 19.5516 + 10.9415i 1.18332 + 0.662211i
\(274\) 6.22857i 0.376281i
\(275\) 13.0645 + 10.2137i 0.787816 + 0.615910i
\(276\) −7.87833 + 0.934925i −0.474220 + 0.0562759i
\(277\) −4.94006 3.58916i −0.296819 0.215652i 0.429401 0.903114i \(-0.358725\pi\)
−0.726220 + 0.687462i \(0.758725\pi\)
\(278\) 0.0133622 0.0411247i 0.000801414 0.00246650i
\(279\) −9.01335 14.6881i −0.539615 0.879354i
\(280\) −10.3066 + 3.52688i −0.615935 + 0.210771i
\(281\) −8.23840 + 5.98555i −0.491462 + 0.357068i −0.805746 0.592261i \(-0.798235\pi\)
0.314284 + 0.949329i \(0.398235\pi\)
\(282\) −2.88908 + 1.33296i −0.172042 + 0.0793768i
\(283\) 4.23598 13.0370i 0.251803 0.774970i −0.742640 0.669691i \(-0.766427\pi\)
0.994443 0.105279i \(-0.0335735\pi\)
\(284\) −1.60854 + 2.21396i −0.0954493 + 0.131375i
\(285\) −7.91861 1.44498i −0.469058 0.0855934i
\(286\) 4.66317 + 7.40490i 0.275739 + 0.437861i
\(287\) 7.01192 0.413900
\(288\) −5.87926 + 14.2186i −0.346439 + 0.837838i
\(289\) 1.00357 3.08866i 0.0590333 0.181686i
\(290\) 0.104332 + 6.70998i 0.00612661 + 0.394024i
\(291\) 3.23738 + 3.50001i 0.189778 + 0.205174i
\(292\) 9.87110 7.17178i 0.577663 0.419697i
\(293\) 28.8511 9.37430i 1.68550 0.547652i 0.699535 0.714599i \(-0.253391\pi\)
0.985966 + 0.166946i \(0.0533907\pi\)
\(294\) −0.528890 0.105033i −0.0308455 0.00612566i
\(295\) 5.62844 + 7.49888i 0.327700 + 0.436602i
\(296\) 16.5353 0.961094
\(297\) −16.2455 5.75179i −0.942661 0.333753i
\(298\) 8.16495i 0.472983i
\(299\) 10.9310 + 7.94187i 0.632159 + 0.459290i
\(300\) 10.7010 10.5339i 0.617821 0.608176i
\(301\) −6.29257 19.3666i −0.362698 1.11627i
\(302\) −3.23306 + 2.34895i −0.186042 + 0.135167i
\(303\) −9.55287 + 8.83605i −0.548798 + 0.507618i
\(304\) −4.89029 + 1.58895i −0.280477 + 0.0911326i
\(305\) 9.58370 13.6316i 0.548761 0.780542i
\(306\) 5.30371 + 2.19304i 0.303193 + 0.125368i
\(307\) −6.93259 −0.395664 −0.197832 0.980236i \(-0.563390\pi\)
−0.197832 + 0.980236i \(0.563390\pi\)
\(308\) −11.1740 9.30975i −0.636699 0.530472i
\(309\) −2.96520 24.9868i −0.168684 1.42145i
\(310\) −3.97772 5.29959i −0.225919 0.300996i
\(311\) −29.5560 9.60334i −1.67597 0.544555i −0.691846 0.722045i \(-0.743202\pi\)
−0.984123 + 0.177490i \(0.943202\pi\)
\(312\) 15.4942 7.14870i 0.877184 0.404715i
\(313\) 16.4517 + 22.6438i 0.929905 + 1.27990i 0.959897 + 0.280354i \(0.0904519\pi\)
−0.0299919 + 0.999550i \(0.509548\pi\)
\(314\) −2.02911 + 1.47424i −0.114509 + 0.0831960i
\(315\) −16.4310 + 4.22676i −0.925782 + 0.238151i
\(316\) −2.13208 0.692755i −0.119939 0.0389705i
\(317\) −0.803948 0.584102i −0.0451542 0.0328064i 0.564979 0.825105i \(-0.308884\pi\)
−0.610133 + 0.792299i \(0.708884\pi\)
\(318\) −0.657121 5.53736i −0.0368495 0.310520i
\(319\) −16.3272 + 10.2819i −0.914145 + 0.575674i
\(320\) 1.51459 4.92044i 0.0846680 0.275061i
\(321\) 3.01288 5.38378i 0.168163 0.300493i
\(322\) 3.27803 + 1.06510i 0.182678 + 0.0593556i
\(323\) 2.38170 + 7.33013i 0.132521 + 0.407859i
\(324\) −7.06731 + 13.9128i −0.392628 + 0.772932i
\(325\) −25.5607 + 0.795069i −1.41785 + 0.0441025i
\(326\) −2.27469 7.00077i −0.125983 0.387737i
\(327\) 32.6073 + 6.47555i 1.80319 + 0.358099i
\(328\) 3.13896 4.32041i 0.173320 0.238555i
\(329\) −9.00606 −0.496520
\(330\) −6.42570 1.61894i −0.353723 0.0891198i
\(331\) 8.13063 0.446900 0.223450 0.974715i \(-0.428268\pi\)
0.223450 + 0.974715i \(0.428268\pi\)
\(332\) 11.8562 16.3186i 0.650691 0.895599i
\(333\) 25.6750 + 2.00473i 1.40698 + 0.109859i
\(334\) 2.03522 + 6.26375i 0.111362 + 0.342737i
\(335\) 23.7044 8.11159i 1.29511 0.443184i
\(336\) −7.95624 + 7.35922i −0.434049 + 0.401479i
\(337\) 0.604185 + 1.85949i 0.0329121 + 0.101293i 0.966163 0.257932i \(-0.0830411\pi\)
−0.933251 + 0.359225i \(0.883041\pi\)
\(338\) −6.45621 2.09775i −0.351172 0.114103i
\(339\) −13.5260 7.56945i −0.734632 0.411116i
\(340\) −13.7415 4.22985i −0.745238 0.229396i
\(341\) 7.07519 17.6895i 0.383143 0.957941i
\(342\) 3.12714 0.752800i 0.169096 0.0407068i
\(343\) −15.5576 11.3032i −0.840030 0.610318i
\(344\) −14.7497 4.79247i −0.795250 0.258392i
\(345\) −10.1402 + 1.36353i −0.545930 + 0.0734099i
\(346\) 1.89418 1.37620i 0.101832 0.0739852i
\(347\) −8.81998 12.1397i −0.473481 0.651691i 0.503755 0.863847i \(-0.331952\pi\)
−0.977236 + 0.212156i \(0.931952\pi\)
\(348\) 7.31941 + 15.8642i 0.392362 + 0.850408i
\(349\) −3.13156 1.01751i −0.167628 0.0544658i 0.224000 0.974589i \(-0.428088\pi\)
−0.391629 + 0.920123i \(0.628088\pi\)
\(350\) −6.13860 + 2.20781i −0.328122 + 0.118012i
\(351\) 24.9251 9.22156i 1.33040 0.492210i
\(352\) −16.4903 + 4.17277i −0.878935 + 0.222409i
\(353\) 2.22323 0.118331 0.0591654 0.998248i \(-0.481156\pi\)
0.0591654 + 0.998248i \(0.481156\pi\)
\(354\) −3.26951 1.82969i −0.173772 0.0972468i
\(355\) −2.02979 + 2.88712i −0.107730 + 0.153232i
\(356\) −10.1428 + 3.29558i −0.537565 + 0.174665i
\(357\) 11.0308 + 11.9257i 0.583814 + 0.631176i
\(358\) 4.53343 3.29373i 0.239599 0.174079i
\(359\) 4.73786 + 14.5816i 0.250055 + 0.769590i 0.994764 + 0.102200i \(0.0325883\pi\)
−0.744709 + 0.667389i \(0.767412\pi\)
\(360\) −4.75119 + 12.0162i −0.250410 + 0.633308i
\(361\) −11.8768 8.62899i −0.625094 0.454157i
\(362\) 4.72951i 0.248578i
\(363\) −5.62391 18.2036i −0.295179 0.955442i
\(364\) 22.4286 1.17558
\(365\) 12.5848 9.44578i 0.658719 0.494415i
\(366\) −1.29701 + 6.53103i −0.0677957 + 0.341382i
\(367\) 20.7145 6.73055i 1.08129 0.351332i 0.286414 0.958106i \(-0.407537\pi\)
0.794874 + 0.606774i \(0.207537\pi\)
\(368\) −5.28764 + 3.84170i −0.275638 + 0.200262i
\(369\) 5.39780 6.32791i 0.280998 0.329418i
\(370\) 9.90112 0.153951i 0.514735 0.00800353i
\(371\) 4.87742 15.0112i 0.253223 0.779340i
\(372\) −15.0543 8.42471i −0.780528 0.436801i
\(373\) 12.9633 0.671212 0.335606 0.942003i \(-0.391059\pi\)
0.335606 + 0.942003i \(0.391059\pi\)
\(374\) 1.55650 + 6.15108i 0.0804845 + 0.318065i
\(375\) 13.5875 13.7978i 0.701655 0.712517i
\(376\) −4.03166 + 5.54911i −0.207917 + 0.286173i
\(377\) 9.19476 28.2986i 0.473554 1.45745i
\(378\) 5.32016 4.20206i 0.273639 0.216131i
\(379\) 14.7670 10.7289i 0.758530 0.551104i −0.139929 0.990162i \(-0.544687\pi\)
0.898459 + 0.439057i \(0.144687\pi\)
\(380\) −7.62383 + 2.60885i −0.391094 + 0.133831i
\(381\) −0.973017 2.10893i −0.0498492 0.108044i
\(382\) 0.173316 0.533411i 0.00886760 0.0272917i
\(383\) 28.2216 + 20.5042i 1.44206 + 1.04772i 0.987607 + 0.156945i \(0.0501645\pi\)
0.454451 + 0.890772i \(0.349836\pi\)
\(384\) 2.33609 + 19.6855i 0.119213 + 1.00457i
\(385\) −14.5953 11.7807i −0.743847 0.600400i
\(386\) 1.04042i 0.0529562i
\(387\) −22.3214 9.22970i −1.13466 0.469172i
\(388\) 4.53910 + 1.47484i 0.230438 + 0.0748738i
\(389\) −5.24356 + 1.70374i −0.265859 + 0.0863829i −0.438913 0.898529i \(-0.644636\pi\)
0.173054 + 0.984912i \(0.444636\pi\)
\(390\) 9.21115 4.42481i 0.466425 0.224059i
\(391\) 5.75838 + 7.92573i 0.291214 + 0.400821i
\(392\) −1.10553 + 0.359208i −0.0558376 + 0.0181428i
\(393\) 6.14039 30.9197i 0.309742 1.55969i
\(394\) −5.13650 3.73189i −0.258773 0.188010i
\(395\) −2.76317 0.850546i −0.139030 0.0427956i
\(396\) −17.0034 + 2.91733i −0.854452 + 0.146601i
\(397\) 3.53950i 0.177642i 0.996048 + 0.0888212i \(0.0283100\pi\)
−0.996048 + 0.0888212i \(0.971690\pi\)
\(398\) 0.677273 0.932187i 0.0339486 0.0467263i
\(399\) 8.92995 + 1.77342i 0.447057 + 0.0887818i
\(400\) 3.45503 11.8781i 0.172752 0.593904i
\(401\) −13.4903 18.5679i −0.673676 0.927235i 0.326161 0.945314i \(-0.394245\pi\)
−0.999837 + 0.0180793i \(0.994245\pi\)
\(402\) −7.34949 + 6.79800i −0.366559 + 0.339053i
\(403\) 9.07899 + 27.9423i 0.452257 + 1.39190i
\(404\) −4.02541 + 12.3889i −0.200272 + 0.616373i
\(405\) −8.83420 + 18.0819i −0.438975 + 0.898499i
\(406\) 7.59034i 0.376702i
\(407\) 15.1717 + 24.0920i 0.752035 + 1.19420i
\(408\) 12.2861 1.45800i 0.608255 0.0721819i
\(409\) −10.7191 + 14.7536i −0.530026 + 0.729518i −0.987134 0.159893i \(-0.948885\pi\)
0.457108 + 0.889411i \(0.348885\pi\)
\(410\) 1.83935 2.61623i 0.0908388 0.129207i
\(411\) 8.76108 + 18.9888i 0.432152 + 0.936650i
\(412\) −14.8055 20.3780i −0.729415 1.00395i
\(413\) −6.23348 8.57965i −0.306730 0.422177i
\(414\) 3.48464 2.13835i 0.171261 0.105094i
\(415\) 14.9611 21.2802i 0.734411 1.04460i
\(416\) 15.4184 21.2216i 0.755950 1.04048i
\(417\) −0.0171088 0.144171i −0.000837824 0.00706008i
\(418\) 2.73199 + 2.27618i 0.133626 + 0.111332i
\(419\) 16.4557i 0.803915i 0.915658 + 0.401958i \(0.131670\pi\)
−0.915658 + 0.401958i \(0.868330\pi\)
\(420\) −12.2872 + 11.7249i −0.599556 + 0.572118i
\(421\) −2.56611 + 7.89766i −0.125064 + 0.384908i −0.993913 0.110170i \(-0.964861\pi\)
0.868848 + 0.495078i \(0.164861\pi\)
\(422\) −1.99214 6.13118i −0.0969759 0.298461i
\(423\) −6.93290 + 8.12753i −0.337089 + 0.395174i
\(424\) −7.06573 9.72514i −0.343142 0.472295i
\(425\) −17.8042 5.17879i −0.863631 0.251208i
\(426\) 0.274701 1.38325i 0.0133093 0.0670185i
\(427\) −11.0782 + 15.2478i −0.536110 + 0.737892i
\(428\) 6.17598i 0.298527i
\(429\) 24.6322 + 16.0159i 1.18925 + 0.773255i
\(430\) −8.87655 2.73234i −0.428065 0.131765i
\(431\) 1.30305 + 0.946719i 0.0627656 + 0.0456019i 0.618726 0.785607i \(-0.287649\pi\)
−0.555960 + 0.831209i \(0.687649\pi\)
\(432\) 0.516595 + 12.8453i 0.0248547 + 0.618018i
\(433\) 32.5345 10.5711i 1.56351 0.508014i 0.605765 0.795643i \(-0.292867\pi\)
0.957742 + 0.287629i \(0.0928670\pi\)
\(434\) 4.40531 + 6.06339i 0.211462 + 0.291052i
\(435\) 9.75631 + 20.3098i 0.467779 + 0.973779i
\(436\) 31.6503 10.2838i 1.51578 0.492505i
\(437\) 5.22173 + 1.69664i 0.249789 + 0.0811615i
\(438\) −3.07063 + 5.48697i −0.146720 + 0.262177i
\(439\) 33.7426i 1.61045i −0.592971 0.805224i \(-0.702045\pi\)
0.592971 0.805224i \(-0.297955\pi\)
\(440\) −13.7925 + 3.71920i −0.657530 + 0.177306i
\(441\) −1.76015 + 0.423723i −0.0838166 + 0.0201773i
\(442\) −7.91592 5.75126i −0.376522 0.273559i
\(443\) −9.84243 + 30.2919i −0.467628 + 1.43921i 0.388019 + 0.921651i \(0.373160\pi\)
−0.855647 + 0.517560i \(0.826840\pi\)
\(444\) 23.4088 10.8004i 1.11093 0.512563i
\(445\) −13.0128 + 4.45295i −0.616866 + 0.211090i
\(446\) 5.69157 4.13517i 0.269504 0.195806i
\(447\) 11.4848 + 24.8922i 0.543212 + 1.17736i
\(448\) −1.79941 + 5.53802i −0.0850142 + 0.261647i
\(449\) −11.5568 + 15.9065i −0.545398 + 0.750675i −0.989379 0.145361i \(-0.953566\pi\)
0.443981 + 0.896036i \(0.353566\pi\)
\(450\) −2.73308 + 7.23937i −0.128839 + 0.341267i
\(451\) 9.17499 + 0.609355i 0.432033 + 0.0286934i
\(452\) −15.5163 −0.729825
\(453\) −6.55249 + 11.7088i −0.307863 + 0.550127i
\(454\) 2.47343 7.61243i 0.116084 0.357269i
\(455\) 28.9212 0.449691i 1.35585 0.0210819i
\(456\) 5.09029 4.70833i 0.238375 0.220488i
\(457\) −33.4096 + 24.2735i −1.56284 + 1.13547i −0.629198 + 0.777245i \(0.716617\pi\)
−0.933637 + 0.358221i \(0.883383\pi\)
\(458\) 1.35744 0.441057i 0.0634288 0.0206093i
\(459\) 19.2540 0.774331i 0.898698 0.0361427i
\(460\) −8.19155 + 6.14834i −0.381933 + 0.286668i
\(461\) −11.6638 −0.543237 −0.271619 0.962405i \(-0.587559\pi\)
−0.271619 + 0.962405i \(0.587559\pi\)
\(462\) 7.23853 + 1.94390i 0.336767 + 0.0904383i
\(463\) 11.5131i 0.535058i 0.963550 + 0.267529i \(0.0862071\pi\)
−0.963550 + 0.267529i \(0.913793\pi\)
\(464\) 11.6444 + 8.46013i 0.540576 + 0.392752i
\(465\) −19.5811 10.5617i −0.908053 0.489785i
\(466\) −4.50080 13.8520i −0.208495 0.641683i
\(467\) −23.8875 + 17.3553i −1.10538 + 0.803108i −0.981930 0.189243i \(-0.939397\pi\)
−0.123453 + 0.992350i \(0.539397\pi\)
\(468\) 17.2656 20.2407i 0.798102 0.935626i
\(469\) −26.9506 + 8.75679i −1.24446 + 0.404351i
\(470\) −2.36245 + 3.36027i −0.108971 + 0.154998i
\(471\) −4.11244 + 7.34860i −0.189491 + 0.338606i
\(472\) −8.07687 −0.371768
\(473\) −6.55073 25.8877i −0.301203 1.19032i
\(474\) 1.14722 0.136141i 0.0526935 0.00625317i
\(475\) −9.77847 + 3.51692i −0.448667 + 0.161367i
\(476\) 15.4663 + 5.02529i 0.708895 + 0.230334i
\(477\) −9.79217 15.9573i −0.448353 0.730633i
\(478\) 6.24621 + 8.59717i 0.285695 + 0.393225i
\(479\) −15.1094 + 10.9776i −0.690366 + 0.501580i −0.876780 0.480891i \(-0.840313\pi\)
0.186415 + 0.982471i \(0.440313\pi\)
\(480\) 2.64716 + 19.6863i 0.120826 + 0.898551i
\(481\) −41.7568 13.5676i −1.90395 0.618630i
\(482\) −10.6595 7.74460i −0.485528 0.352757i
\(483\) 11.4918 1.36374i 0.522895 0.0620522i
\(484\) −13.8120 13.1527i −0.627818 0.597851i
\(485\) 5.88265 + 1.81077i 0.267117 + 0.0822229i
\(486\) 0.303324 8.03594i 0.0137590 0.364518i
\(487\) 6.83037 + 2.21932i 0.309513 + 0.100567i 0.459655 0.888097i \(-0.347973\pi\)
−0.150142 + 0.988664i \(0.547973\pi\)
\(488\) 4.43570 + 13.6517i 0.200795 + 0.617983i
\(489\) −16.7820 18.1435i −0.758909 0.820475i
\(490\) −0.658633 + 0.225382i −0.0297540 + 0.0101817i
\(491\) 8.44246 + 25.9832i 0.381003 + 1.17261i 0.939339 + 0.342991i \(0.111440\pi\)
−0.558336 + 0.829615i \(0.688560\pi\)
\(492\) 1.62183 8.16665i 0.0731177 0.368181i
\(493\) 12.6810 17.4539i 0.571124 0.786085i
\(494\) −5.48367 −0.246722
\(495\) −21.8670 + 4.10275i −0.982850 + 0.184405i
\(496\) −14.2120 −0.638138
\(497\) 2.34631 3.22942i 0.105247 0.144859i
\(498\) −2.02476 + 10.1956i −0.0907315 + 0.456874i
\(499\) −1.37487 4.23141i −0.0615475 0.189424i 0.915555 0.402193i \(-0.131752\pi\)
−0.977103 + 0.212769i \(0.931752\pi\)
\(500\) 5.12426 18.6958i 0.229164 0.836101i
\(501\) 15.0153 + 16.2334i 0.670833 + 0.725254i
\(502\) −0.299081 0.920477i −0.0133486 0.0410829i
\(503\) −17.2838 5.61585i −0.770647 0.250398i −0.102805 0.994702i \(-0.532782\pi\)
−0.667842 + 0.744303i \(0.732782\pi\)
\(504\) 5.58455 13.5059i 0.248756 0.601599i
\(505\) −4.94229 + 16.0560i −0.219929 + 0.714483i
\(506\) 4.19670 + 1.67853i 0.186566 + 0.0746200i
\(507\) −22.6335 + 2.68593i −1.00519 + 0.119286i
\(508\) −1.88098 1.36661i −0.0834549 0.0606335i
\(509\) 12.7774 + 4.15164i 0.566350 + 0.184018i 0.578176 0.815912i \(-0.303765\pi\)
−0.0118265 + 0.999930i \(0.503765\pi\)
\(510\) 7.34322 0.987424i 0.325163 0.0437239i
\(511\) −14.3986 + 10.4612i −0.636956 + 0.462776i
\(512\) 13.0606 + 17.9763i 0.577201 + 0.794449i
\(513\) 8.47473 6.69366i 0.374168 0.295532i
\(514\) −2.32151 0.754304i −0.102397 0.0332709i
\(515\) −19.5000 25.9802i −0.859273 1.14483i
\(516\) −24.0113 + 2.84943i −1.05704 + 0.125439i
\(517\) −11.7843 0.782651i −0.518273 0.0344210i
\(518\) −11.2001 −0.492106
\(519\) 3.83897 6.85994i 0.168512 0.301118i
\(520\) 12.6698 18.0212i 0.555608 0.790281i
\(521\) 14.9131 4.84555i 0.653353 0.212287i 0.0364612 0.999335i \(-0.488391\pi\)
0.616892 + 0.787048i \(0.288391\pi\)
\(522\) −6.84990 5.84307i −0.299812 0.255744i
\(523\) −7.55250 + 5.48721i −0.330248 + 0.239939i −0.740536 0.672017i \(-0.765428\pi\)
0.410288 + 0.911956i \(0.365428\pi\)
\(524\) −9.75156 30.0122i −0.425999 1.31109i
\(525\) −15.6091 + 15.3654i −0.681236 + 0.670602i
\(526\) 6.54409 + 4.75456i 0.285336 + 0.207309i
\(527\) 21.3026i 0.927955i
\(528\) −11.0502 + 8.93801i −0.480896 + 0.388977i
\(529\) −16.0211 −0.696571
\(530\) −4.32142 5.75751i −0.187710 0.250090i
\(531\) −12.5413 0.979237i −0.544245 0.0424953i
\(532\) 8.66786 2.81636i 0.375800 0.122105i
\(533\) −11.4719 + 8.33480i −0.496902 + 0.361020i
\(534\) 4.03458 3.73184i 0.174593 0.161492i
\(535\) −0.123828 7.96381i −0.00535355 0.344305i
\(536\) −6.66923 + 20.5258i −0.288067 + 0.886578i
\(537\) 9.18798 16.4182i 0.396490 0.708497i
\(538\) −11.5751 −0.499039
\(539\) −1.53773 1.28118i −0.0662348 0.0551842i
\(540\) 1.12240 + 20.1145i 0.0483004 + 0.865591i
\(541\) 13.0787 18.0013i 0.562297 0.773935i −0.429319 0.903153i \(-0.641247\pi\)
0.991616 + 0.129217i \(0.0412465\pi\)
\(542\) −0.654207 + 2.01344i −0.0281006 + 0.0864848i
\(543\) 6.65251 + 14.4187i 0.285487 + 0.618766i
\(544\) 15.3871 11.1794i 0.659715 0.479311i
\(545\) 40.6063 13.8954i 1.73938 0.595212i
\(546\) −10.4949 + 4.84216i −0.449142 + 0.207225i
\(547\) 2.56807 7.90369i 0.109803 0.337937i −0.881025 0.473070i \(-0.843146\pi\)
0.990828 + 0.135132i \(0.0431459\pi\)
\(548\) 16.9364 + 12.3050i 0.723486 + 0.525644i
\(549\) 5.23237 + 21.7353i 0.223312 + 0.927640i
\(550\) −8.22413 + 2.35542i −0.350678 + 0.100436i
\(551\) 12.0910i 0.515094i
\(552\) 4.30416 7.69120i 0.183197 0.327359i
\(553\) 3.10998 + 1.01049i 0.132250 + 0.0429706i
\(554\) 2.99588 0.973419i 0.127283 0.0413566i
\(555\) 29.9687 14.3962i 1.27210 0.611086i
\(556\) −0.0854261 0.117579i −0.00362287 0.00498646i
\(557\) 2.06055 0.669513i 0.0873082 0.0283682i −0.265037 0.964238i \(-0.585384\pi\)
0.352345 + 0.935870i \(0.385384\pi\)
\(558\) 8.86314 + 0.692044i 0.375207 + 0.0292966i
\(559\) 33.3153 + 24.2050i 1.40909 + 1.02376i
\(560\) −4.11626 + 13.3725i −0.173944 + 0.565090i
\(561\) 13.3973 + 16.5632i 0.565635 + 0.699300i
\(562\) 5.25325i 0.221595i
\(563\) −5.59468 + 7.70042i −0.235788 + 0.324534i −0.910471 0.413574i \(-0.864280\pi\)
0.674683 + 0.738108i \(0.264280\pi\)
\(564\) −2.08307 + 10.4892i −0.0877129 + 0.441675i
\(565\) −20.0080 + 0.311101i −0.841741 + 0.0130881i
\(566\) 4.15655 + 5.72100i 0.174713 + 0.240472i
\(567\) 10.3088 20.2940i 0.432929 0.852268i
\(568\) −0.939465 2.89137i −0.0394191 0.121319i
\(569\) −10.2068 + 31.4135i −0.427893 + 1.31692i 0.472303 + 0.881436i \(0.343423\pi\)
−0.900196 + 0.435484i \(0.856577\pi\)
\(570\) 3.00416 2.86668i 0.125831 0.120072i
\(571\) 1.96812i 0.0823632i −0.999152 0.0411816i \(-0.986888\pi\)
0.999152 0.0411816i \(-0.0131122\pi\)
\(572\) 29.3474 + 1.94910i 1.22708 + 0.0814962i
\(573\) −0.221911 1.86998i −0.00927047 0.0781194i
\(574\) −2.12617 + 2.92642i −0.0887447 + 0.122147i
\(575\) −10.4396 + 8.09240i −0.435360 + 0.337476i
\(576\) 3.61260 + 5.88707i 0.150525 + 0.245294i
\(577\) 13.2674 + 18.2610i 0.552330 + 0.760217i 0.990326 0.138760i \(-0.0443116\pi\)
−0.437996 + 0.898977i \(0.644312\pi\)
\(578\) 0.984748 + 1.35539i 0.0409601 + 0.0563768i
\(579\) −1.46346 3.17191i −0.0608192 0.131820i
\(580\) 18.4515 + 12.9724i 0.766159 + 0.538649i
\(581\) −17.2941 + 23.8033i −0.717480 + 0.987527i
\(582\) −2.44238 + 0.289838i −0.101240 + 0.0120142i
\(583\) 7.68654 19.2180i 0.318344 0.795928i
\(584\) 13.5548i 0.560901i
\(585\) 21.8578 26.4461i 0.903710 1.09341i
\(586\) −4.83595 + 14.8835i −0.199771 + 0.614832i
\(587\) −4.67223 14.3796i −0.192844 0.593512i −0.999995 0.00316706i \(-0.998992\pi\)
0.807151 0.590345i \(-0.201008\pi\)
\(588\) −1.33046 + 1.23063i −0.0548673 + 0.0507502i
\(589\) 7.01743 + 9.65866i 0.289148 + 0.397978i
\(590\) −4.83633 + 0.0751993i −0.199108 + 0.00309591i
\(591\) −20.9088 4.15231i −0.860071 0.170803i
\(592\) 12.4836 17.1822i 0.513073 0.706184i
\(593\) 28.2577i 1.16040i −0.814473 0.580201i \(-0.802974\pi\)
0.814473 0.580201i \(-0.197026\pi\)
\(594\) 7.32652 5.03600i 0.300611 0.206630i
\(595\) 20.0442 + 6.16992i 0.821732 + 0.252942i
\(596\) 22.2017 + 16.1305i 0.909417 + 0.660730i
\(597\) 0.753572 3.79458i 0.0308417 0.155302i
\(598\) −6.62908 + 2.15392i −0.271083 + 0.0880803i
\(599\) −23.6634 32.5699i −0.966860 1.33077i −0.943617 0.331038i \(-0.892601\pi\)
−0.0232423 0.999730i \(-0.507399\pi\)
\(600\) 2.47987 + 16.4961i 0.101240 + 0.673449i
\(601\) 16.6622 5.41387i 0.679665 0.220837i 0.0512163 0.998688i \(-0.483690\pi\)
0.628449 + 0.777851i \(0.283690\pi\)
\(602\) 9.99068 + 3.24617i 0.407190 + 0.132304i
\(603\) −12.8441 + 31.0626i −0.523053 + 1.26497i
\(604\) 13.4317i 0.546528i
\(605\) −18.0740 16.6832i −0.734813 0.678270i
\(606\) −0.791079 6.66618i −0.0321354 0.270795i
\(607\) 8.56016 + 6.21932i 0.347446 + 0.252434i 0.747797 0.663928i \(-0.231112\pi\)
−0.400351 + 0.916362i \(0.631112\pi\)
\(608\) 3.29388 10.1375i 0.133584 0.411130i
\(609\) −10.6765 23.1404i −0.432635 0.937697i
\(610\) 2.78315 + 8.13316i 0.112686 + 0.329302i
\(611\) 14.7344 10.7052i 0.596090 0.433085i
\(612\) 16.4411 10.0890i 0.664590 0.407825i
\(613\) −4.52343 + 13.9217i −0.182699 + 0.562291i −0.999901 0.0140608i \(-0.995524\pi\)
0.817202 + 0.576352i \(0.195524\pi\)
\(614\) 2.10212 2.89332i 0.0848345 0.116765i
\(615\) 1.92758 10.5632i 0.0777274 0.425951i
\(616\) 15.6637 3.96361i 0.631108 0.159698i
\(617\) 9.01979 0.363123 0.181562 0.983380i \(-0.441885\pi\)
0.181562 + 0.983380i \(0.441885\pi\)
\(618\) 11.3274 + 6.33904i 0.455654 + 0.254994i
\(619\) 2.03021 6.24834i 0.0816009 0.251142i −0.901930 0.431883i \(-0.857849\pi\)
0.983531 + 0.180741i \(0.0578495\pi\)
\(620\) −22.2686 + 0.346251i −0.894330 + 0.0139058i
\(621\) 7.61572 11.4206i 0.305608 0.458293i
\(622\) 12.9700 9.42326i 0.520050 0.377838i
\(623\) 14.7948 4.80713i 0.592743 0.192594i
\(624\) 4.26920 21.4974i 0.170905 0.860584i
\(625\) 6.23278 24.2106i 0.249311 0.968423i
\(626\) −14.4389 −0.577096
\(627\) 11.5306 + 3.09652i 0.460488 + 0.123663i
\(628\) 8.42992i 0.336390i
\(629\) −25.7547 18.7119i −1.02691 0.746090i
\(630\) 3.21821 8.13913i 0.128217 0.324271i
\(631\) 5.89065 + 18.1296i 0.234503 + 0.721726i 0.997187 + 0.0749547i \(0.0238812\pi\)
−0.762684 + 0.646771i \(0.776119\pi\)
\(632\) 2.01484 1.46387i 0.0801459 0.0582294i
\(633\) −14.6975 15.8898i −0.584172 0.631563i
\(634\) 0.487550 0.158415i 0.0193631 0.00629145i
\(635\) −2.45288 1.72450i −0.0973397 0.0684348i
\(636\) −16.3551 9.15266i −0.648521 0.362926i
\(637\) 3.08655 0.122293
\(638\) 0.659621 9.93184i 0.0261146 0.393205i
\(639\) −1.10819 4.60345i −0.0438395 0.182110i
\(640\) 15.3628 + 20.4681i 0.607267 + 0.809074i
\(641\) 16.0126 + 5.20282i 0.632461 + 0.205499i 0.607665 0.794194i \(-0.292106\pi\)
0.0247960 + 0.999693i \(0.492106\pi\)
\(642\) 1.33335 + 2.88991i 0.0526230 + 0.114056i
\(643\) −17.4791 24.0580i −0.689310 0.948754i 0.310688 0.950512i \(-0.399440\pi\)
−0.999998 + 0.00175788i \(0.999440\pi\)
\(644\) 9.37216 6.80927i 0.369315 0.268323i
\(645\) −30.9050 + 4.15571i −1.21688 + 0.163631i
\(646\) −3.78142 1.22866i −0.148778 0.0483408i
\(647\) −8.05918 5.85534i −0.316839 0.230197i 0.417986 0.908453i \(-0.362736\pi\)
−0.734826 + 0.678256i \(0.762736\pi\)
\(648\) −7.88936 15.4366i −0.309923 0.606408i
\(649\) −7.41082 11.7681i −0.290900 0.461937i
\(650\) 7.41875 10.9088i 0.290987 0.427879i
\(651\) 21.9591 + 12.2888i 0.860644 + 0.481635i
\(652\) −23.5299 7.64534i −0.921503 0.299414i
\(653\) −9.82191 30.2287i −0.384361 1.18294i −0.936943 0.349483i \(-0.886357\pi\)
0.552582 0.833459i \(-0.313643\pi\)
\(654\) −12.5899 + 11.6451i −0.492302 + 0.455361i
\(655\) −13.1762 38.5046i −0.514836 1.50450i
\(656\) −2.11963 6.52354i −0.0827575 0.254701i
\(657\) −1.64338 + 21.0471i −0.0641143 + 0.821125i
\(658\) 2.73084 3.75868i 0.106459 0.146529i
\(659\) −10.4078 −0.405432 −0.202716 0.979238i \(-0.564977\pi\)
−0.202716 + 0.979238i \(0.564977\pi\)
\(660\) −17.0966 + 14.2741i −0.665484 + 0.555618i
\(661\) 11.5700 0.450020 0.225010 0.974356i \(-0.427758\pi\)
0.225010 + 0.974356i \(0.427758\pi\)
\(662\) −2.46539 + 3.39332i −0.0958202 + 0.131885i
\(663\) −32.2227 6.39917i −1.25143 0.248523i
\(664\) 6.92456 + 21.3116i 0.268725 + 0.827051i
\(665\) 11.1206 3.80543i 0.431237 0.147568i
\(666\) −8.62191 + 10.1076i −0.334092 + 0.391661i
\(667\) −4.74920 14.6165i −0.183890 0.565955i
\(668\) 21.0528 + 6.84046i 0.814556 + 0.264665i
\(669\) 11.5352 20.6125i 0.445977 0.796925i
\(670\) −3.80235 + 12.3527i −0.146897 + 0.477225i
\(671\) −15.8207 + 18.9888i −0.610751 + 0.733054i
\(672\) −2.64757 22.3103i −0.102132 0.860637i
\(673\) 8.69733 + 6.31898i 0.335258 + 0.243579i 0.742658 0.669671i \(-0.233565\pi\)
−0.407401 + 0.913250i \(0.633565\pi\)
\(674\) −0.959261 0.311683i −0.0369494 0.0120056i
\(675\) 1.85061 + 25.9148i 0.0712299 + 0.997460i
\(676\) −18.4588 + 13.4111i −0.709954 + 0.515812i
\(677\) −15.2989 21.0571i −0.587984 0.809291i 0.406558 0.913625i \(-0.366729\pi\)
−0.994542 + 0.104334i \(0.966729\pi\)
\(678\) 7.26050 3.34985i 0.278838 0.128650i
\(679\) −6.62100 2.15129i −0.254091 0.0825591i
\(680\) 12.7746 9.58825i 0.489884 0.367693i
\(681\) −3.16695 26.6869i −0.121358 1.02264i
\(682\) 5.23736 + 8.31669i 0.200549 + 0.318463i
\(683\) 17.5188 0.670338 0.335169 0.942158i \(-0.391207\pi\)
0.335169 + 0.942158i \(0.391207\pi\)
\(684\) 4.13093 9.99036i 0.157950 0.381991i
\(685\) 22.0858 + 15.5275i 0.843857 + 0.593275i
\(686\) 9.43482 3.06556i 0.360223 0.117044i
\(687\) 3.51798 3.25400i 0.134219 0.124148i
\(688\) −16.1155 + 11.7086i −0.614398 + 0.446386i
\(689\) 9.86348 + 30.3567i 0.375769 + 1.15650i
\(690\) 2.50567 4.64547i 0.0953892 0.176850i
\(691\) −21.4682 15.5976i −0.816689 0.593359i 0.0990734 0.995080i \(-0.468412\pi\)
−0.915762 + 0.401721i \(0.868412\pi\)
\(692\) 7.86936i 0.299148i
\(693\) 24.8022 4.25539i 0.942156 0.161649i
\(694\) 7.74090 0.293841
\(695\) −0.112513 0.149903i −0.00426785 0.00568614i
\(696\) −19.0375 3.78069i −0.721615 0.143307i
\(697\) −9.77823 + 3.17714i −0.370377 + 0.120343i
\(698\) 1.37422 0.998426i 0.0520148 0.0377910i
\(699\) −33.2056 35.8994i −1.25595 1.35784i
\(700\) −6.12392 + 21.0535i −0.231462 + 0.795746i
\(701\) 11.2974 34.7699i 0.426698 1.31324i −0.474660 0.880169i \(-0.657429\pi\)
0.901359 0.433074i \(-0.142571\pi\)
\(702\) −3.70923 + 13.1987i −0.139996 + 0.498152i
\(703\) −17.8412 −0.672895
\(704\) −2.83577 + 7.09004i −0.106877 + 0.267216i
\(705\) −2.47577 + 13.5674i −0.0932428 + 0.510977i
\(706\) −0.674135 + 0.927867i −0.0253714 + 0.0349207i
\(707\) 5.87171 18.0713i 0.220828 0.679640i
\(708\) −11.4343 + 5.27558i −0.429729 + 0.198268i
\(709\) 22.0323 16.0074i 0.827439 0.601170i −0.0913944 0.995815i \(-0.529132\pi\)
0.918834 + 0.394645i \(0.129132\pi\)
\(710\) −0.589460 1.72257i −0.0221220 0.0646470i
\(711\) 3.30600 2.02872i 0.123985 0.0760831i
\(712\) 3.66115 11.2678i 0.137207 0.422280i
\(713\) 12.2770 + 8.91978i 0.459778 + 0.334048i
\(714\) −8.32200 + 0.987577i −0.311443 + 0.0369591i
\(715\) 37.8820 + 1.92492i 1.41671 + 0.0719878i
\(716\) 18.8341i 0.703862i
\(717\) 31.1354 + 17.4240i 1.16277 + 0.650713i
\(718\) −7.52228 2.44414i −0.280729 0.0912143i
\(719\) 13.5386 4.39895i 0.504904 0.164053i −0.0454795 0.998965i \(-0.514482\pi\)
0.550383 + 0.834912i \(0.314482\pi\)
\(720\) 8.89929 + 14.0089i 0.331657 + 0.522081i
\(721\) 21.5962 + 29.7246i 0.804285 + 1.10700i
\(722\) 7.20262 2.34027i 0.268054 0.0870959i
\(723\) −43.3909 8.61707i −1.61372 0.320472i
\(724\) 12.8602 + 9.34350i 0.477947 + 0.347249i
\(725\) 24.0530 + 16.3577i 0.893306 + 0.607509i
\(726\) 9.30258 + 3.17261i 0.345251 + 0.117747i
\(727\) 32.9857i 1.22337i 0.791100 + 0.611687i \(0.209509\pi\)
−0.791100 + 0.611687i \(0.790491\pi\)
\(728\) −14.6455 + 20.1579i −0.542800 + 0.747100i
\(729\) −10.3786 24.9256i −0.384392 0.923170i
\(730\) 0.126201 + 8.11644i 0.00467092 + 0.300403i
\(731\) 17.5502 + 24.1558i 0.649117 + 0.893433i
\(732\) 15.1965 + 16.4293i 0.561678 + 0.607244i
\(733\) −10.9875 33.8161i −0.405833 1.24903i −0.920198 0.391454i \(-0.871972\pi\)
0.514365 0.857572i \(-0.328028\pi\)
\(734\) −3.47211 + 10.6861i −0.128158 + 0.394430i
\(735\) −1.69093 + 1.61355i −0.0623709 + 0.0595165i
\(736\) 13.5488i 0.499416i
\(737\) −36.0255 + 9.11604i −1.32701 + 0.335794i
\(738\) 1.00422 + 4.17154i 0.0369658 + 0.153556i
\(739\) −24.3327 + 33.4911i −0.895094 + 1.23199i 0.0769128 + 0.997038i \(0.475494\pi\)
−0.972007 + 0.234953i \(0.924506\pi\)
\(740\) 19.1418 27.2267i 0.703666 1.00087i
\(741\) −16.7179 + 7.71330i −0.614147 + 0.283355i
\(742\) 4.78596 + 6.58731i 0.175698 + 0.241828i
\(743\) 3.10761 + 4.27726i 0.114007 + 0.156917i 0.862207 0.506556i \(-0.169082\pi\)
−0.748200 + 0.663473i \(0.769082\pi\)
\(744\) 17.4020 8.02894i 0.637988 0.294355i
\(745\) 28.9521 + 20.3548i 1.06072 + 0.745742i
\(746\) −3.93075 + 5.41021i −0.143915 + 0.198082i
\(747\) 8.16823 + 33.9309i 0.298860 + 1.24147i
\(748\) 19.8006 + 7.91958i 0.723983 + 0.289568i
\(749\) 9.00866i 0.329169i
\(750\) 1.63850 + 9.85455i 0.0598295 + 0.359837i
\(751\) −9.54614 + 29.3800i −0.348344 + 1.07209i 0.611426 + 0.791302i \(0.290596\pi\)
−0.959769 + 0.280790i \(0.909404\pi\)
\(752\) 2.72244 + 8.37880i 0.0992770 + 0.305543i
\(753\) −2.20654 2.38554i −0.0804108 0.0869341i
\(754\) 9.02235 + 12.4182i 0.328575 + 0.452244i
\(755\) 0.269304 + 17.3199i 0.00980099 + 0.630336i
\(756\) −0.915646 22.7678i −0.0333017 0.828056i
\(757\) −9.35522 + 12.8764i −0.340021 + 0.467999i −0.944448 0.328662i \(-0.893402\pi\)
0.604426 + 0.796661i \(0.293402\pi\)
\(758\) 9.41624i 0.342013i
\(759\) 15.1554 0.785762i 0.550105 0.0285213i
\(760\) 2.63352 8.55552i 0.0955279 0.310341i
\(761\) −40.7087 29.5766i −1.47569 1.07215i −0.978914 0.204274i \(-0.934517\pi\)
−0.496777 0.867878i \(-0.665483\pi\)
\(762\) 1.17520 + 0.233385i 0.0425731 + 0.00845466i
\(763\) −46.1671 + 15.0006i −1.67136 + 0.543058i
\(764\) −1.10802 1.52506i −0.0400869 0.0551748i
\(765\) 20.9981 13.3393i 0.759189 0.482282i
\(766\) −17.1149 + 5.56096i −0.618386 + 0.200926i
\(767\) 20.3966 + 6.62727i 0.736480 + 0.239297i
\(768\) −1.96416 1.09919i −0.0708756 0.0396635i
\(769\) 20.8541i 0.752017i −0.926616 0.376009i \(-0.877296\pi\)
0.926616 0.376009i \(-0.122704\pi\)
\(770\) 9.34231 2.51919i 0.336674 0.0907854i
\(771\) −8.13851 + 0.965801i −0.293101 + 0.0347825i
\(772\) −2.82907 2.05544i −0.101820 0.0739768i
\(773\) −5.39506 + 16.6043i −0.194047 + 0.597215i 0.805940 + 0.591998i \(0.201661\pi\)
−0.999986 + 0.00521701i \(0.998339\pi\)
\(774\) 10.6204 − </