Properties

Label 507.2.t.b.4.13
Level $507$
Weight $2$
Character 507.4
Analytic conductor $4.048$
Analytic rank $0$
Dimension $360$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 507 = 3 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 507.t (of order \(78\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.04841538248\)
Analytic rank: \(0\)
Dimension: \(360\)
Relative dimension: \(15\) over \(\Q(\zeta_{78})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{78}]$

Embedding invariants

Embedding label 4.13
Character \(\chi\) \(=\) 507.4
Dual form 507.2.t.b.127.13

$q$-expansion

\(f(q)\) \(=\) \(q+(1.92708 + 0.0776588i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(1.71410 + 0.138377i) q^{4} +(3.62781 + 1.37585i) q^{5} +(-0.610741 + 1.82939i) q^{6} +(1.17937 + 2.76808i) q^{7} +(-0.536697 - 0.0651668i) q^{8} +(-0.845190 - 0.534466i) q^{9} +O(q^{10})\) \(q+(1.92708 + 0.0776588i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(1.71410 + 0.138377i) q^{4} +(3.62781 + 1.37585i) q^{5} +(-0.610741 + 1.82939i) q^{6} +(1.17937 + 2.76808i) q^{7} +(-0.536697 - 0.0651668i) q^{8} +(-0.845190 - 0.534466i) q^{9} +(6.88424 + 2.93310i) q^{10} +(-1.78622 - 2.82468i) q^{11} +(-0.609807 + 1.60793i) q^{12} +(-2.71174 - 2.37623i) q^{13} +(2.05777 + 5.42590i) q^{14} +(-2.33084 + 3.10179i) q^{15} +(-4.42402 - 0.718973i) q^{16} +(-2.15601 + 0.918591i) q^{17} +(-1.58725 - 1.09560i) q^{18} +(1.03386 - 0.596898i) q^{19} +(6.02805 + 2.86034i) q^{20} +(-2.98691 + 0.362676i) q^{21} +(-3.22284 - 5.58212i) q^{22} +(4.67428 - 8.09610i) q^{23} +(0.211912 - 0.497377i) q^{24} +(7.52547 + 6.66699i) q^{25} +(-5.04121 - 4.78978i) q^{26} +(0.748511 - 0.663123i) q^{27} +(1.63852 + 4.90797i) q^{28} +(-0.242867 + 6.02667i) q^{29} +(-4.73261 + 5.79639i) q^{30} +(0.596932 + 0.673797i) q^{31} +(-7.41019 - 1.51280i) q^{32} +(3.21012 - 0.929822i) q^{33} +(-4.22615 + 1.60277i) q^{34} +(0.470070 + 11.6647i) q^{35} +(-1.37479 - 1.03308i) q^{36} +(9.40469 - 1.91998i) q^{37} +(2.03869 - 1.06998i) q^{38} +(3.03686 - 1.94357i) q^{39} +(-1.85737 - 0.974825i) q^{40} +(-3.14715 - 0.911583i) q^{41} +(-5.78419 + 0.466948i) q^{42} +(1.20677 - 5.91115i) q^{43} +(-2.67090 - 5.08897i) q^{44} +(-2.33084 - 3.10179i) q^{45} +(9.63646 - 15.2388i) q^{46} +(0.455761 - 0.314589i) q^{47} +(1.92143 - 4.04932i) q^{48} +(-1.42227 + 1.48074i) q^{49} +(13.9845 + 13.4323i) q^{50} +(-0.282483 - 2.32646i) q^{51} +(-4.31939 - 4.44834i) q^{52} +(-0.0637287 + 0.524853i) q^{53} +(1.49394 - 1.21976i) q^{54} +(-2.59374 - 12.7050i) q^{55} +(-0.452576 - 1.56247i) q^{56} +(0.285694 + 1.15911i) q^{57} +(-0.936048 + 11.5950i) q^{58} +(0.493497 + 3.03661i) q^{59} +(-4.42452 + 4.99425i) q^{60} +(-11.0090 + 8.27271i) q^{61} +(1.09801 + 1.34482i) q^{62} +(0.482653 - 2.96988i) q^{63} +(-5.45893 - 1.34551i) q^{64} +(-6.56835 - 12.3514i) q^{65} +(6.25837 - 1.54255i) q^{66} +(-0.412604 - 5.11102i) q^{67} +(-3.82274 + 1.27622i) q^{68} +(6.47598 + 6.74221i) q^{69} +22.5153i q^{70} +(3.47922 - 3.34184i) q^{71} +(0.418782 + 0.341925i) q^{72} +(-7.24083 + 13.7962i) q^{73} +(18.2727 - 2.96961i) q^{74} +(-8.49748 + 5.37348i) q^{75} +(1.85474 - 0.880083i) q^{76} +(5.71233 - 8.27574i) q^{77} +(6.00322 - 3.50958i) q^{78} +(-6.74968 - 9.77860i) q^{79} +(-15.0603 - 8.69506i) q^{80} +(0.428693 + 0.903450i) q^{81} +(-5.99402 - 2.00110i) q^{82} +(-1.18303 + 4.79974i) q^{83} +(-5.17006 + 0.208346i) q^{84} +(-9.08544 + 0.366131i) q^{85} +(2.78460 - 11.2976i) q^{86} +(-5.72116 - 1.91000i) q^{87} +(0.774584 + 1.63240i) q^{88} +(-2.83136 - 1.63469i) q^{89} +(-4.25085 - 6.15842i) q^{90} +(3.37945 - 10.3088i) q^{91} +(9.13252 - 13.2307i) q^{92} +(-0.813271 + 0.385902i) q^{93} +(0.902719 - 0.570845i) q^{94} +(4.57188 - 0.743002i) q^{95} +(3.51472 - 6.69674i) q^{96} +(3.01430 + 2.46110i) q^{97} +(-2.85583 + 2.74306i) q^{98} +3.34207i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + O(q^{10}) \) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + 6q^{11} - 28q^{12} + 6q^{13} + 4q^{14} - 6q^{15} + 20q^{16} - 6q^{19} - 12q^{20} - 28q^{22} + 46q^{23} - 6q^{25} - 39q^{26} + 30q^{27} - 6q^{28} + 43q^{29} + 26q^{31} - 195q^{32} + 19q^{33} + 65q^{34} + 84q^{35} - 14q^{36} - 65q^{38} - 2q^{39} + 12q^{41} - 128q^{42} + 83q^{43} - 39q^{44} - 6q^{45} - 20q^{48} + 72q^{49} - 52q^{50} - 55q^{52} + 49q^{53} - 49q^{55} - 2q^{56} + 26q^{57} + 26q^{58} - 202q^{59} - 182q^{60} - 3q^{61} - 65q^{62} - 3q^{63} - 14q^{64} - 58q^{65} + 48q^{66} - 41q^{67} + 139q^{68} + 6q^{69} - 60q^{71} - 52q^{73} - 269q^{74} + 23q^{75} - 14q^{76} + 70q^{77} - 65q^{78} + 18q^{79} + 492q^{80} + 15q^{81} - 65q^{82} + 78q^{83} - 6q^{84} - 91q^{85} - 169q^{86} + 48q^{87} - 522q^{88} - 12q^{89} + 373q^{91} + 72q^{92} - 3q^{93} - 13q^{94} - 110q^{95} + 65q^{96} - 121q^{97} - 104q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).

\(n\) \(170\) \(340\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{78}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.92708 + 0.0776588i 1.36265 + 0.0549131i 0.710780 0.703415i \(-0.248342\pi\)
0.651874 + 0.758328i \(0.273983\pi\)
\(3\) −0.278217 + 0.960518i −0.160629 + 0.554555i
\(4\) 1.71410 + 0.138377i 0.857052 + 0.0691884i
\(5\) 3.62781 + 1.37585i 1.62240 + 0.615297i 0.987546 0.157332i \(-0.0502892\pi\)
0.634858 + 0.772629i \(0.281058\pi\)
\(6\) −0.610741 + 1.82939i −0.249334 + 0.746846i
\(7\) 1.17937 + 2.76808i 0.445759 + 1.04623i 0.979656 + 0.200685i \(0.0643168\pi\)
−0.533897 + 0.845550i \(0.679273\pi\)
\(8\) −0.536697 0.0651668i −0.189751 0.0230400i
\(9\) −0.845190 0.534466i −0.281730 0.178155i
\(10\) 6.88424 + 2.93310i 2.17699 + 0.927527i
\(11\) −1.78622 2.82468i −0.538566 0.851674i 0.460792 0.887508i \(-0.347566\pi\)
−0.999358 + 0.0358342i \(0.988591\pi\)
\(12\) −0.609807 + 1.60793i −0.176036 + 0.464169i
\(13\) −2.71174 2.37623i −0.752101 0.659047i
\(14\) 2.05777 + 5.42590i 0.549963 + 1.45013i
\(15\) −2.33084 + 3.10179i −0.601821 + 0.800879i
\(16\) −4.42402 0.718973i −1.10600 0.179743i
\(17\) −2.15601 + 0.918591i −0.522910 + 0.222791i −0.637259 0.770650i \(-0.719932\pi\)
0.114349 + 0.993441i \(0.463522\pi\)
\(18\) −1.58725 1.09560i −0.374117 0.258235i
\(19\) 1.03386 0.596898i 0.237183 0.136938i −0.376698 0.926336i \(-0.622941\pi\)
0.613881 + 0.789398i \(0.289607\pi\)
\(20\) 6.02805 + 2.86034i 1.34791 + 0.639593i
\(21\) −2.98691 + 0.362676i −0.651797 + 0.0791425i
\(22\) −3.22284 5.58212i −0.687111 1.19011i
\(23\) 4.67428 8.09610i 0.974655 1.68815i 0.293588 0.955932i \(-0.405151\pi\)
0.681067 0.732221i \(-0.261516\pi\)
\(24\) 0.211912 0.497377i 0.0432564 0.101527i
\(25\) 7.52547 + 6.66699i 1.50509 + 1.33340i
\(26\) −5.04121 4.78978i −0.988663 0.939353i
\(27\) 0.748511 0.663123i 0.144051 0.127618i
\(28\) 1.63852 + 4.90797i 0.309651 + 0.927519i
\(29\) −0.242867 + 6.02667i −0.0450992 + 1.11912i 0.805260 + 0.592922i \(0.202026\pi\)
−0.850359 + 0.526203i \(0.823615\pi\)
\(30\) −4.73261 + 5.79639i −0.864052 + 1.05827i
\(31\) 0.596932 + 0.673797i 0.107212 + 0.121017i 0.799667 0.600444i \(-0.205009\pi\)
−0.692455 + 0.721461i \(0.743471\pi\)
\(32\) −7.41019 1.51280i −1.30995 0.267428i
\(33\) 3.21012 0.929822i 0.558810 0.161861i
\(34\) −4.22615 + 1.60277i −0.724779 + 0.274872i
\(35\) 0.470070 + 11.6647i 0.0794564 + 1.97169i
\(36\) −1.37479 1.03308i −0.229131 0.172181i
\(37\) 9.40469 1.91998i 1.54612 0.315643i 0.650168 0.759791i \(-0.274699\pi\)
0.895953 + 0.444148i \(0.146494\pi\)
\(38\) 2.03869 1.06998i 0.330718 0.173574i
\(39\) 3.03686 1.94357i 0.486287 0.311220i
\(40\) −1.85737 0.974825i −0.293677 0.154133i
\(41\) −3.14715 0.911583i −0.491502 0.142365i 0.0232062 0.999731i \(-0.492613\pi\)
−0.514708 + 0.857365i \(0.672100\pi\)
\(42\) −5.78419 + 0.466948i −0.892519 + 0.0720516i
\(43\) 1.20677 5.91115i 0.184031 0.901442i −0.777950 0.628326i \(-0.783741\pi\)
0.961981 0.273116i \(-0.0880543\pi\)
\(44\) −2.67090 5.08897i −0.402653 0.767191i
\(45\) −2.33084 3.10179i −0.347462 0.462387i
\(46\) 9.63646 15.2388i 1.42082 2.24685i
\(47\) 0.455761 0.314589i 0.0664795 0.0458875i −0.534361 0.845256i \(-0.679448\pi\)
0.600841 + 0.799369i \(0.294832\pi\)
\(48\) 1.92143 4.04932i 0.277334 0.584469i
\(49\) −1.42227 + 1.48074i −0.203182 + 0.211535i
\(50\) 13.9845 + 13.4323i 1.97770 + 1.89961i
\(51\) −0.282483 2.32646i −0.0395555 0.325769i
\(52\) −4.31939 4.44834i −0.598991 0.616874i
\(53\) −0.0637287 + 0.524853i −0.00875382 + 0.0720942i −0.996431 0.0844101i \(-0.973099\pi\)
0.987677 + 0.156504i \(0.0500225\pi\)
\(54\) 1.49394 1.21976i 0.203299 0.165989i
\(55\) −2.59374 12.7050i −0.349740 1.71314i
\(56\) −0.452576 1.56247i −0.0604781 0.208794i
\(57\) 0.285694 + 1.15911i 0.0378411 + 0.153527i
\(58\) −0.936048 + 11.5950i −0.122909 + 1.52250i
\(59\) 0.493497 + 3.03661i 0.0642479 + 0.395333i 0.999179 + 0.0405047i \(0.0128966\pi\)
−0.934931 + 0.354828i \(0.884539\pi\)
\(60\) −4.42452 + 4.99425i −0.571203 + 0.644755i
\(61\) −11.0090 + 8.27271i −1.40956 + 1.05921i −0.421213 + 0.906962i \(0.638396\pi\)
−0.988342 + 0.152251i \(0.951348\pi\)
\(62\) 1.09801 + 1.34482i 0.139448 + 0.170792i
\(63\) 0.482653 2.96988i 0.0608086 0.374170i
\(64\) −5.45893 1.34551i −0.682366 0.168188i
\(65\) −6.56835 12.3514i −0.814703 1.53201i
\(66\) 6.25837 1.54255i 0.770352 0.189875i
\(67\) −0.412604 5.11102i −0.0504076 0.624411i −0.971805 0.235788i \(-0.924233\pi\)
0.921397 0.388623i \(-0.127049\pi\)
\(68\) −3.82274 + 1.27622i −0.463575 + 0.154764i
\(69\) 6.47598 + 6.74221i 0.779616 + 0.811667i
\(70\) 22.5153i 2.69109i
\(71\) 3.47922 3.34184i 0.412908 0.396603i −0.457281 0.889322i \(-0.651177\pi\)
0.870188 + 0.492719i \(0.163997\pi\)
\(72\) 0.418782 + 0.341925i 0.0493539 + 0.0402962i
\(73\) −7.24083 + 13.7962i −0.847475 + 1.61473i −0.0601498 + 0.998189i \(0.519158\pi\)
−0.787325 + 0.616538i \(0.788534\pi\)
\(74\) 18.2727 2.96961i 2.12416 0.345210i
\(75\) −8.49748 + 5.37348i −0.981204 + 0.620476i
\(76\) 1.85474 0.880083i 0.212753 0.100952i
\(77\) 5.71233 8.27574i 0.650980 0.943108i
\(78\) 6.00322 3.50958i 0.679731 0.397381i
\(79\) −6.74968 9.77860i −0.759399 1.10018i −0.991830 0.127566i \(-0.959283\pi\)
0.232431 0.972613i \(-0.425332\pi\)
\(80\) −15.0603 8.69506i −1.68379 0.972138i
\(81\) 0.428693 + 0.903450i 0.0476325 + 0.100383i
\(82\) −5.99402 2.00110i −0.661929 0.220984i
\(83\) −1.18303 + 4.79974i −0.129854 + 0.526839i 0.869598 + 0.493760i \(0.164378\pi\)
−0.999453 + 0.0330799i \(0.989468\pi\)
\(84\) −5.17006 + 0.208346i −0.564099 + 0.0227324i
\(85\) −9.08544 + 0.366131i −0.985454 + 0.0397124i
\(86\) 2.78460 11.2976i 0.300271 1.21825i
\(87\) −5.72116 1.91000i −0.613372 0.204774i
\(88\) 0.774584 + 1.63240i 0.0825710 + 0.174015i
\(89\) −2.83136 1.63469i −0.300124 0.173276i 0.342375 0.939563i \(-0.388769\pi\)
−0.642498 + 0.766287i \(0.722102\pi\)
\(90\) −4.25085 6.15842i −0.448079 0.649154i
\(91\) 3.37945 10.3088i 0.354262 1.08065i
\(92\) 9.13252 13.2307i 0.952131 1.37940i
\(93\) −0.813271 + 0.385902i −0.0843323 + 0.0400162i
\(94\) 0.902719 0.570845i 0.0931084 0.0588782i
\(95\) 4.57188 0.743002i 0.469065 0.0762304i
\(96\) 3.51472 6.69674i 0.358719 0.683483i
\(97\) 3.01430 + 2.46110i 0.306055 + 0.249886i 0.773009 0.634396i \(-0.218751\pi\)
−0.466953 + 0.884282i \(0.654648\pi\)
\(98\) −2.85583 + 2.74306i −0.288482 + 0.277091i
\(99\) 3.34207i 0.335891i
\(100\) 11.9769 + 12.4693i 1.19769 + 1.24693i
\(101\) 13.1055 4.37526i 1.30405 0.435355i 0.422034 0.906580i \(-0.361316\pi\)
0.882013 + 0.471226i \(0.156188\pi\)
\(102\) −0.363698 4.50521i −0.0360115 0.446083i
\(103\) −19.3004 + 4.75712i −1.90173 + 0.468733i −0.902445 + 0.430805i \(0.858230\pi\)
−0.999280 + 0.0379287i \(0.987924\pi\)
\(104\) 1.30053 + 1.45203i 0.127528 + 0.142383i
\(105\) −11.3349 2.79380i −1.10617 0.272647i
\(106\) −0.163570 + 1.00649i −0.0158873 + 0.0977586i
\(107\) −6.55068 8.02312i −0.633278 0.775625i 0.353894 0.935286i \(-0.384857\pi\)
−0.987172 + 0.159661i \(0.948960\pi\)
\(108\) 1.37479 1.03308i 0.132289 0.0994086i
\(109\) −10.3694 + 11.7046i −0.993209 + 1.12110i −0.000569128 1.00000i \(0.500181\pi\)
−0.992640 + 0.121102i \(0.961357\pi\)
\(110\) −4.01170 24.6850i −0.382500 2.35362i
\(111\) −0.772372 + 9.56754i −0.0733103 + 0.908111i
\(112\) −3.22737 13.0940i −0.304958 1.23726i
\(113\) −0.398058 1.37425i −0.0374461 0.129279i 0.939618 0.342226i \(-0.111181\pi\)
−0.977064 + 0.212947i \(0.931694\pi\)
\(114\) 0.460542 + 2.25588i 0.0431337 + 0.211283i
\(115\) 28.0964 22.9400i 2.62000 2.13916i
\(116\) −1.25025 + 10.2967i −0.116083 + 0.956027i
\(117\) 1.02192 + 3.45770i 0.0944768 + 0.319664i
\(118\) 0.715191 + 5.89013i 0.0658386 + 0.542230i
\(119\) −5.08546 4.88465i −0.466184 0.447775i
\(120\) 1.45309 1.51283i 0.132648 0.138102i
\(121\) −0.0726312 + 0.153067i −0.00660284 + 0.0139152i
\(122\) −21.8577 + 15.0873i −1.97890 + 1.36594i
\(123\) 1.75118 2.76928i 0.157899 0.249697i
\(124\) 0.929965 + 1.23756i 0.0835133 + 0.111136i
\(125\) 9.11272 + 17.3628i 0.815067 + 1.55298i
\(126\) 1.16075 5.68573i 0.103408 0.506525i
\(127\) −14.2039 + 1.14666i −1.26039 + 0.101749i −0.692539 0.721380i \(-0.743508\pi\)
−0.567854 + 0.823130i \(0.692226\pi\)
\(128\) 4.11354 + 1.19150i 0.363589 + 0.105315i
\(129\) 5.34202 + 2.80371i 0.470339 + 0.246853i
\(130\) −11.6985 24.3123i −1.02603 2.13233i
\(131\) 7.18047 3.76860i 0.627361 0.329264i −0.120904 0.992664i \(-0.538579\pi\)
0.748265 + 0.663400i \(0.230887\pi\)
\(132\) 5.63114 1.14961i 0.490128 0.100060i
\(133\) 2.87156 + 2.15784i 0.248996 + 0.187108i
\(134\) −0.398207 9.88140i −0.0343998 0.853623i
\(135\) 3.62781 1.37585i 0.312232 0.118414i
\(136\) 1.21699 0.352505i 0.104356 0.0302270i
\(137\) 15.0047 + 3.06324i 1.28194 + 0.261710i 0.792256 0.610189i \(-0.208906\pi\)
0.489686 + 0.871899i \(0.337112\pi\)
\(138\) 11.9562 + 13.4957i 1.01778 + 1.14883i
\(139\) 5.46292 6.69086i 0.463359 0.567512i −0.489081 0.872238i \(-0.662668\pi\)
0.952440 + 0.304727i \(0.0985652\pi\)
\(140\) −0.808370 + 20.0595i −0.0683198 + 1.69534i
\(141\) 0.175368 + 0.525291i 0.0147686 + 0.0442375i
\(142\) 6.96427 6.16981i 0.584429 0.517759i
\(143\) −1.86833 + 11.9043i −0.156237 + 0.995486i
\(144\) 3.35487 + 2.97216i 0.279573 + 0.247680i
\(145\) −9.17284 + 21.5294i −0.761763 + 1.78792i
\(146\) −15.0251 + 26.0242i −1.24348 + 2.15378i
\(147\) −1.02658 1.77809i −0.0846708 0.146654i
\(148\) 16.3863 1.98966i 1.34694 0.163549i
\(149\) 1.08736 + 0.515958i 0.0890799 + 0.0422689i 0.472711 0.881217i \(-0.343275\pi\)
−0.383631 + 0.923486i \(0.625327\pi\)
\(150\) −16.7926 + 9.69524i −1.37111 + 0.791613i
\(151\) 7.47636 + 5.16056i 0.608417 + 0.419960i 0.832040 0.554716i \(-0.187173\pi\)
−0.223623 + 0.974676i \(0.571788\pi\)
\(152\) −0.593767 + 0.252980i −0.0481608 + 0.0205194i
\(153\) 2.31320 + 0.375931i 0.187011 + 0.0303922i
\(154\) 11.6508 15.5044i 0.938850 1.24938i
\(155\) 1.23851 + 3.26569i 0.0994797 + 0.262307i
\(156\) 5.47444 2.91124i 0.438306 0.233086i
\(157\) −1.61132 + 4.24871i −0.128598 + 0.339084i −0.983815 0.179185i \(-0.942654\pi\)
0.855218 + 0.518269i \(0.173423\pi\)
\(158\) −12.2478 19.3684i −0.974383 1.54086i
\(159\) −0.486401 0.207236i −0.0385741 0.0164349i
\(160\) −24.8014 15.6834i −1.96072 1.23988i
\(161\) 27.9233 + 3.39050i 2.20067 + 0.267209i
\(162\) 0.755965 + 1.77432i 0.0593942 + 0.139403i
\(163\) −5.27481 + 15.8000i −0.413155 + 1.23755i 0.512337 + 0.858785i \(0.328780\pi\)
−0.925492 + 0.378767i \(0.876348\pi\)
\(164\) −5.26840 1.99804i −0.411393 0.156021i
\(165\) 12.9250 + 1.04341i 1.00621 + 0.0812295i
\(166\) −2.65254 + 9.15762i −0.205877 + 0.710769i
\(167\) −3.87191 0.156033i −0.299618 0.0120742i −0.109998 0.993932i \(-0.535084\pi\)
−0.189620 + 0.981858i \(0.560726\pi\)
\(168\) 1.62670 0.125503
\(169\) 1.70707 + 12.8874i 0.131313 + 0.991341i
\(170\) −17.5368 −1.34501
\(171\) −1.19283 0.0480693i −0.0912179 0.00367595i
\(172\) 2.88649 9.96533i 0.220093 0.759849i
\(173\) −7.61908 0.615076i −0.579268 0.0467633i −0.212639 0.977131i \(-0.568206\pi\)
−0.366629 + 0.930367i \(0.619488\pi\)
\(174\) −10.8768 4.12503i −0.824569 0.312718i
\(175\) −9.57944 + 28.6939i −0.724137 + 2.16906i
\(176\) 5.87141 + 13.7807i 0.442574 + 1.03876i
\(177\) −3.05402 0.370825i −0.229554 0.0278729i
\(178\) −5.32932 3.37006i −0.399449 0.252596i
\(179\) 12.9604 + 5.52193i 0.968709 + 0.412728i 0.817599 0.575789i \(-0.195305\pi\)
0.151110 + 0.988517i \(0.451715\pi\)
\(180\) −3.56609 5.63932i −0.265801 0.420330i
\(181\) 5.49638 14.4928i 0.408543 1.07724i −0.560022 0.828478i \(-0.689207\pi\)
0.968565 0.248761i \(-0.0800234\pi\)
\(182\) 7.31304 19.6034i 0.542078 1.45310i
\(183\) −4.88320 12.8759i −0.360976 0.951817i
\(184\) −3.03627 + 4.04054i −0.223837 + 0.297873i
\(185\) 36.7600 + 5.97408i 2.70265 + 0.439223i
\(186\) −1.59721 + 0.680507i −0.117113 + 0.0498972i
\(187\) 6.44585 + 4.44925i 0.471367 + 0.325361i
\(188\) 0.824753 0.476171i 0.0601513 0.0347284i
\(189\) 2.71834 + 1.28987i 0.197730 + 0.0938242i
\(190\) 8.86809 1.07678i 0.643359 0.0781179i
\(191\) 0.194303 + 0.336542i 0.0140593 + 0.0243514i 0.872969 0.487775i \(-0.162191\pi\)
−0.858910 + 0.512126i \(0.828858\pi\)
\(192\) 2.81115 4.86906i 0.202877 0.351394i
\(193\) −3.00380 + 7.05017i −0.216218 + 0.507483i −0.992404 0.123022i \(-0.960742\pi\)
0.776186 + 0.630504i \(0.217152\pi\)
\(194\) 5.61767 + 4.97682i 0.403325 + 0.357315i
\(195\) 13.6912 2.87263i 0.980447 0.205713i
\(196\) −2.64282 + 2.34134i −0.188773 + 0.167238i
\(197\) −5.58736 16.7362i −0.398083 1.19240i −0.936784 0.349907i \(-0.886213\pi\)
0.538701 0.842497i \(-0.318915\pi\)
\(198\) −0.259541 + 6.44044i −0.0184448 + 0.457702i
\(199\) −8.61014 + 10.5455i −0.610357 + 0.747551i −0.983636 0.180168i \(-0.942336\pi\)
0.373279 + 0.927719i \(0.378233\pi\)
\(200\) −3.60443 4.06856i −0.254872 0.287691i
\(201\) 5.02402 + 1.02566i 0.354367 + 0.0723446i
\(202\) 25.5952 7.41373i 1.80087 0.521628i
\(203\) −16.9687 + 6.43539i −1.19097 + 0.451676i
\(204\) −0.162278 4.02688i −0.0113617 0.281938i
\(205\) −10.1630 7.63704i −0.709818 0.533394i
\(206\) −37.5629 + 7.66852i −2.61713 + 0.534291i
\(207\) −8.27774 + 4.34450i −0.575343 + 0.301963i
\(208\) 10.2883 + 12.4622i 0.713369 + 0.864095i
\(209\) −3.53275 1.85413i −0.244365 0.128253i
\(210\) −21.6264 6.26415i −1.49236 0.432267i
\(211\) −21.9929 + 1.77545i −1.51405 + 0.122227i −0.809371 0.587298i \(-0.800192\pi\)
−0.704681 + 0.709525i \(0.748910\pi\)
\(212\) −0.181865 + 0.890834i −0.0124905 + 0.0611828i
\(213\) 2.24192 + 4.27161i 0.153614 + 0.292686i
\(214\) −12.0006 15.9699i −0.820346 1.09168i
\(215\) 12.5108 19.7842i 0.853226 1.34927i
\(216\) −0.444937 + 0.307118i −0.0302741 + 0.0208967i
\(217\) −1.16112 + 2.44701i −0.0788219 + 0.166114i
\(218\) −20.8917 + 21.7505i −1.41496 + 1.47313i
\(219\) −11.2370 10.7933i −0.759327 0.729344i
\(220\) −2.68786 22.1365i −0.181216 1.49245i
\(221\) 8.02933 + 2.63220i 0.540111 + 0.177061i
\(222\) −2.23143 + 18.3775i −0.149764 + 1.23342i
\(223\) 9.43408 7.70269i 0.631753 0.515810i −0.261594 0.965178i \(-0.584248\pi\)
0.893347 + 0.449368i \(0.148351\pi\)
\(224\) −4.55179 22.2961i −0.304129 1.48972i
\(225\) −2.79718 9.65698i −0.186479 0.643799i
\(226\) −0.660367 2.67922i −0.0439270 0.178219i
\(227\) −2.15362 + 26.6774i −0.142941 + 1.77064i 0.386494 + 0.922292i \(0.373686\pi\)
−0.529435 + 0.848351i \(0.677596\pi\)
\(228\) 0.329316 + 2.02636i 0.0218095 + 0.134199i
\(229\) −5.14933 + 5.81239i −0.340277 + 0.384094i −0.893593 0.448878i \(-0.851824\pi\)
0.553316 + 0.832972i \(0.313362\pi\)
\(230\) 55.9255 42.0253i 3.68762 2.77107i
\(231\) 6.35973 + 7.78925i 0.418439 + 0.512495i
\(232\) 0.523085 3.21867i 0.0343422 0.211316i
\(233\) 6.91986 + 1.70559i 0.453335 + 0.111737i 0.459371 0.888245i \(-0.348075\pi\)
−0.00603548 + 0.999982i \(0.501921\pi\)
\(234\) 1.70081 + 6.74263i 0.111185 + 0.440780i
\(235\) 2.08624 0.514211i 0.136091 0.0335435i
\(236\) 0.425709 + 5.27335i 0.0277113 + 0.343266i
\(237\) 11.2704 3.76261i 0.732092 0.244408i
\(238\) −9.42077 9.80806i −0.610658 0.635762i
\(239\) 2.08119i 0.134621i −0.997732 0.0673104i \(-0.978558\pi\)
0.997732 0.0673104i \(-0.0214418\pi\)
\(240\) 12.5418 12.0466i 0.809570 0.777602i
\(241\) −8.11613 6.62661i −0.522806 0.426858i 0.333942 0.942594i \(-0.391621\pi\)
−0.856748 + 0.515736i \(0.827519\pi\)
\(242\) −0.151853 + 0.289332i −0.00976151 + 0.0185990i
\(243\) −0.987050 + 0.160411i −0.0633193 + 0.0102904i
\(244\) −20.0153 + 12.6569i −1.28135 + 0.810275i
\(245\) −7.19700 + 3.41502i −0.459800 + 0.218178i
\(246\) 3.58973 5.20063i 0.228873 0.331580i
\(247\) −4.22192 0.838050i −0.268634 0.0533239i
\(248\) −0.276462 0.400525i −0.0175554 0.0254334i
\(249\) −4.28109 2.47169i −0.271303 0.156637i
\(250\) 16.2126 + 34.1673i 1.02537 + 2.16093i
\(251\) 24.8792 + 8.30591i 1.57036 + 0.524264i 0.962848 0.270044i \(-0.0870382\pi\)
0.607515 + 0.794308i \(0.292166\pi\)
\(252\) 1.23828 5.02390i 0.0780043 0.316476i
\(253\) −31.2182 + 1.25805i −1.96267 + 0.0790930i
\(254\) −27.4612 + 1.10665i −1.72307 + 0.0694372i
\(255\) 2.17605 8.82859i 0.136270 0.552868i
\(256\) 18.5005 + 6.17638i 1.15628 + 0.386024i
\(257\) −2.87918 6.06775i −0.179599 0.378496i 0.793608 0.608430i \(-0.208200\pi\)
−0.973206 + 0.229934i \(0.926149\pi\)
\(258\) 10.0768 + 5.81784i 0.627353 + 0.362203i
\(259\) 16.4062 + 23.7685i 1.01943 + 1.47690i
\(260\) −9.54967 22.0805i −0.592245 1.36938i
\(261\) 3.42632 4.96388i 0.212084 0.307256i
\(262\) 14.1300 6.70479i 0.872957 0.414223i
\(263\) −4.10943 + 2.59864i −0.253398 + 0.160239i −0.655126 0.755520i \(-0.727384\pi\)
0.401727 + 0.915759i \(0.368410\pi\)
\(264\) −1.78345 + 0.289840i −0.109764 + 0.0178384i
\(265\) −0.953313 + 1.81639i −0.0585615 + 0.111580i
\(266\) 5.36616 + 4.38133i 0.329020 + 0.268637i
\(267\) 2.35788 2.26477i 0.144300 0.138602i
\(268\) 8.81791i 0.538640i
\(269\) 10.4346 + 10.8636i 0.636210 + 0.662365i 0.958770 0.284184i \(-0.0917227\pi\)
−0.322559 + 0.946549i \(0.604543\pi\)
\(270\) 7.09793 2.36964i 0.431966 0.144212i
\(271\) −2.53042 31.3449i −0.153712 1.90407i −0.372082 0.928200i \(-0.621356\pi\)
0.218370 0.975866i \(-0.429926\pi\)
\(272\) 10.1987 2.51375i 0.618386 0.152418i
\(273\) 8.96152 + 6.11409i 0.542376 + 0.370042i
\(274\) 28.6775 + 7.06837i 1.73247 + 0.427016i
\(275\) 5.38997 33.1658i 0.325027 1.99997i
\(276\) 10.1675 + 12.4530i 0.612014 + 0.749581i
\(277\) −8.01954 + 6.02629i −0.481847 + 0.362085i −0.813737 0.581234i \(-0.802570\pi\)
0.331890 + 0.943318i \(0.392314\pi\)
\(278\) 11.0471 12.4696i 0.662561 0.747877i
\(279\) −0.144400 0.888526i −0.00864497 0.0531947i
\(280\) 0.507864 6.29103i 0.0303507 0.375961i
\(281\) 0.135649 + 0.550352i 0.00809217 + 0.0328312i 0.974849 0.222866i \(-0.0715412\pi\)
−0.966757 + 0.255697i \(0.917695\pi\)
\(282\) 0.297155 + 1.02590i 0.0176953 + 0.0610913i
\(283\) −3.50011 17.1447i −0.208060 1.01914i −0.940885 0.338727i \(-0.890004\pi\)
0.732825 0.680417i \(-0.238201\pi\)
\(284\) 6.42618 5.24681i 0.381324 0.311341i
\(285\) −0.558309 + 4.59809i −0.0330714 + 0.272367i
\(286\) −4.52489 + 22.7954i −0.267562 + 1.34792i
\(287\) −1.18831 9.78664i −0.0701439 0.577687i
\(288\) 5.45448 + 5.23910i 0.321408 + 0.308717i
\(289\) −7.97173 + 8.29945i −0.468925 + 0.488203i
\(290\) −19.3488 + 40.7767i −1.13620 + 2.39449i
\(291\) −3.20256 + 2.21057i −0.187737 + 0.129586i
\(292\) −14.3206 + 22.6462i −0.838050 + 1.32527i
\(293\) 2.23493 + 2.97415i 0.130566 + 0.173752i 0.859991 0.510309i \(-0.170469\pi\)
−0.729425 + 0.684060i \(0.760212\pi\)
\(294\) −1.84022 3.50624i −0.107324 0.204488i
\(295\) −2.38759 + 11.6952i −0.139011 + 0.680922i
\(296\) −5.17259 + 0.417574i −0.300651 + 0.0242710i
\(297\) −3.21012 0.929822i −0.186270 0.0539537i
\(298\) 2.05536 + 1.07874i 0.119064 + 0.0624896i
\(299\) −31.9136 + 10.8473i −1.84561 + 0.627318i
\(300\) −15.3091 + 8.03485i −0.883873 + 0.463892i
\(301\) 17.7857 3.63099i 1.02515 0.209287i
\(302\) 14.0068 + 10.5254i 0.806001 + 0.605670i
\(303\) 0.556337 + 13.8053i 0.0319607 + 0.793097i
\(304\) −5.00296 + 1.89737i −0.286940 + 0.108822i
\(305\) −51.3204 + 14.8651i −2.93860 + 0.851175i
\(306\) 4.42853 + 0.904090i 0.253162 + 0.0516834i
\(307\) 4.54596 + 5.13133i 0.259452 + 0.292861i 0.863774 0.503880i \(-0.168094\pi\)
−0.604322 + 0.796740i \(0.706556\pi\)
\(308\) 10.9367 13.3950i 0.623176 0.763252i
\(309\) 0.800407 19.8619i 0.0455336 1.12990i
\(310\) 2.13311 + 6.38944i 0.121152 + 0.362896i
\(311\) −4.66662 + 4.13427i −0.264620 + 0.234433i −0.784991 0.619508i \(-0.787332\pi\)
0.520371 + 0.853941i \(0.325794\pi\)
\(312\) −1.75653 + 0.845204i −0.0994441 + 0.0478503i
\(313\) −0.238016 0.210864i −0.0134535 0.0119187i 0.656369 0.754440i \(-0.272091\pi\)
−0.669823 + 0.742521i \(0.733630\pi\)
\(314\) −3.43510 + 8.06248i −0.193854 + 0.454992i
\(315\) 5.83707 10.1101i 0.328882 0.569640i
\(316\) −10.2165 17.6955i −0.574724 0.995452i
\(317\) −31.4380 + 3.81726i −1.76573 + 0.214399i −0.937979 0.346693i \(-0.887304\pi\)
−0.827753 + 0.561092i \(0.810381\pi\)
\(318\) −0.921241 0.437134i −0.0516606 0.0245133i
\(319\) 17.4573 10.0789i 0.977419 0.564313i
\(320\) −17.9527 12.3919i −1.00359 0.692727i
\(321\) 9.52887 4.05987i 0.531850 0.226600i
\(322\) 53.5472 + 8.70227i 2.98407 + 0.484959i
\(323\) −1.68071 + 2.23661i −0.0935170 + 0.124449i
\(324\) 0.609807 + 1.60793i 0.0338782 + 0.0893294i
\(325\) −4.56484 35.9614i −0.253212 1.99478i
\(326\) −11.3920 + 30.0383i −0.630945 + 1.66367i
\(327\) −8.35757 13.2164i −0.462175 0.730871i
\(328\) 1.62966 + 0.694334i 0.0899830 + 0.0383382i
\(329\) 1.40832 + 0.890565i 0.0776430 + 0.0490984i
\(330\) 24.8265 + 3.01448i 1.36665 + 0.165942i
\(331\) −10.9078 25.6017i −0.599549 1.40719i −0.892492 0.451064i \(-0.851045\pi\)
0.292942 0.956130i \(-0.405366\pi\)
\(332\) −2.69201 + 8.06354i −0.147743 + 0.442544i
\(333\) −8.97491 3.40374i −0.491822 0.186524i
\(334\) −7.44938 0.601376i −0.407612 0.0329059i
\(335\) 5.53513 19.1095i 0.302416 1.04406i
\(336\) 13.4749 + 0.543020i 0.735116 + 0.0296242i
\(337\) 27.4817 1.49702 0.748511 0.663123i \(-0.230769\pi\)
0.748511 + 0.663123i \(0.230769\pi\)
\(338\) 2.28885 + 24.9677i 0.124497 + 1.35806i
\(339\) 1.43074 0.0777073
\(340\) −15.6240 0.629627i −0.847332 0.0341463i
\(341\) 0.837010 2.88969i 0.0453266 0.156486i
\(342\) −2.29495 0.185267i −0.124096 0.0100181i
\(343\) 13.9171 + 5.27804i 0.751450 + 0.284987i
\(344\) −1.03288 + 3.09386i −0.0556892 + 0.166810i
\(345\) 14.2174 + 33.3694i 0.765437 + 1.79655i
\(346\) −14.6348 1.77699i −0.786774 0.0955316i
\(347\) 23.5126 + 14.8685i 1.26222 + 0.798182i 0.986612 0.163087i \(-0.0521452\pi\)
0.275612 + 0.961269i \(0.411120\pi\)
\(348\) −9.54235 4.06562i −0.511524 0.217940i
\(349\) 2.79762 + 4.42408i 0.149753 + 0.236816i 0.911731 0.410787i \(-0.134746\pi\)
−0.761978 + 0.647603i \(0.775772\pi\)
\(350\) −20.6887 + 54.5516i −1.10586 + 2.91591i
\(351\) −3.60550 + 0.0195837i −0.192447 + 0.00104530i
\(352\) 8.96306 + 23.6336i 0.477733 + 1.25968i
\(353\) 7.16458 9.53432i 0.381332 0.507461i −0.567443 0.823413i \(-0.692067\pi\)
0.948775 + 0.315952i \(0.102324\pi\)
\(354\) −5.85655 0.951782i −0.311272 0.0505866i
\(355\) 17.2198 7.33667i 0.913932 0.389390i
\(356\) −4.62704 3.19382i −0.245233 0.169272i
\(357\) 6.10666 3.52568i 0.323199 0.186599i
\(358\) 24.5470 + 11.6477i 1.29735 + 0.615600i
\(359\) 16.6429 2.02081i 0.878377 0.106654i 0.331090 0.943599i \(-0.392584\pi\)
0.547287 + 0.836945i \(0.315661\pi\)
\(360\) 1.04882 + 1.81662i 0.0552778 + 0.0957440i
\(361\) −8.78742 + 15.2203i −0.462496 + 0.801067i
\(362\) 11.7175 27.5019i 0.615857 1.44547i
\(363\) −0.126816 0.112350i −0.00665614 0.00589682i
\(364\) 7.21921 17.2026i 0.378389 0.901663i
\(365\) −45.2498 + 40.0878i −2.36848 + 2.09829i
\(366\) −8.41040 25.1922i −0.439619 1.31682i
\(367\) 0.746494 18.5241i 0.0389667 0.966949i −0.854949 0.518713i \(-0.826411\pi\)
0.893915 0.448236i \(-0.147948\pi\)
\(368\) −26.5000 + 32.4566i −1.38141 + 1.69192i
\(369\) 2.17273 + 2.45250i 0.113108 + 0.127672i
\(370\) 70.3756 + 14.3673i 3.65865 + 0.746919i
\(371\) −1.52799 + 0.442589i −0.0793295 + 0.0229781i
\(372\) −1.44743 + 0.548938i −0.0750457 + 0.0284611i
\(373\) 1.02776 + 25.5036i 0.0532155 + 1.32053i 0.776561 + 0.630042i \(0.216962\pi\)
−0.723346 + 0.690486i \(0.757397\pi\)
\(374\) 12.0762 + 9.07464i 0.624443 + 0.469239i
\(375\) −19.2126 + 3.92229i −0.992137 + 0.202546i
\(376\) −0.265106 + 0.139139i −0.0136718 + 0.00717552i
\(377\) 14.9793 15.7657i 0.771475 0.811973i
\(378\) 5.13830 + 2.69679i 0.264286 + 0.138708i
\(379\) 29.6168 + 8.57861i 1.52131 + 0.440654i 0.930542 0.366185i \(-0.119336\pi\)
0.590771 + 0.806839i \(0.298823\pi\)
\(380\) 7.93948 0.640941i 0.407287 0.0328796i
\(381\) 2.85039 13.9621i 0.146030 0.715302i
\(382\) 0.348302 + 0.663634i 0.0178207 + 0.0339545i
\(383\) 17.2727 + 22.9857i 0.882592 + 1.17452i 0.983732 + 0.179644i \(0.0574946\pi\)
−0.101140 + 0.994872i \(0.532249\pi\)
\(384\) −2.28892 + 3.61964i −0.116806 + 0.184714i
\(385\) 32.1094 22.1635i 1.63644 1.12956i
\(386\) −6.33608 + 13.3530i −0.322498 + 0.679650i
\(387\) −4.17926 + 4.35107i −0.212444 + 0.221177i
\(388\) 4.82626 + 4.63568i 0.245016 + 0.235341i
\(389\) −3.33146 27.4371i −0.168912 1.39111i −0.792743 0.609556i \(-0.791348\pi\)
0.623831 0.781559i \(-0.285575\pi\)
\(390\) 26.6072 4.47255i 1.34731 0.226477i
\(391\) −2.64081 + 21.7490i −0.133552 + 1.09990i
\(392\) 0.859825 0.702025i 0.0434277 0.0354576i
\(393\) 1.62208 + 7.94547i 0.0818231 + 0.400796i
\(394\) −9.46759 32.6859i −0.476971 1.64669i
\(395\) −11.0327 44.7614i −0.555115 2.25219i
\(396\) −0.462465 + 5.72865i −0.0232397 + 0.287876i
\(397\) 3.09157 + 19.0232i 0.155162 + 0.954748i 0.941515 + 0.336971i \(0.109402\pi\)
−0.786353 + 0.617777i \(0.788034\pi\)
\(398\) −17.4114 + 19.6534i −0.872755 + 0.985137i
\(399\) −2.87156 + 2.15784i −0.143758 + 0.108027i
\(400\) −28.4995 34.9055i −1.42497 1.74527i
\(401\) 1.02215 6.28953i 0.0510437 0.314084i −0.948955 0.315410i \(-0.897858\pi\)
0.999999 + 0.00132582i \(0.000422021\pi\)
\(402\) 9.60205 + 2.36669i 0.478907 + 0.118040i
\(403\) −0.0176289 3.24561i −0.000878158 0.161675i
\(404\) 23.0696 5.68615i 1.14776 0.282897i
\(405\) 0.312205 + 3.86736i 0.0155136 + 0.192171i
\(406\) −33.1999 + 11.0838i −1.64768 + 0.550077i
\(407\) −22.2222 23.1358i −1.10151 1.14680i
\(408\) 1.26701i 0.0627264i
\(409\) 14.7911 14.2071i 0.731373 0.702494i −0.231384 0.972863i \(-0.574325\pi\)
0.962757 + 0.270369i \(0.0871457\pi\)
\(410\) −18.9920 15.5065i −0.937946 0.765809i
\(411\) −7.11688 + 13.5601i −0.351050 + 0.668869i
\(412\) −33.7412 + 5.48347i −1.66231 + 0.270151i
\(413\) −7.82356 + 4.94732i −0.384972 + 0.243442i
\(414\) −16.2893 + 7.72936i −0.800575 + 0.379878i
\(415\) −10.8955 + 15.7848i −0.534839 + 0.774848i
\(416\) 16.4998 + 21.7106i 0.808967 + 1.06445i
\(417\) 4.90682 + 7.10875i 0.240288 + 0.348117i
\(418\) −6.66391 3.84741i −0.325943 0.188183i
\(419\) 6.06400 + 12.7796i 0.296246 + 0.624324i 0.995930 0.0901275i \(-0.0287275\pi\)
−0.699685 + 0.714452i \(0.746676\pi\)
\(420\) −19.0426 6.35736i −0.929184 0.310207i
\(421\) 2.23937 9.08548i 0.109140 0.442799i −0.890792 0.454411i \(-0.849850\pi\)
0.999933 + 0.0116112i \(0.00369604\pi\)
\(422\) −42.5200 + 1.71350i −2.06984 + 0.0834117i
\(423\) −0.553342 + 0.0222989i −0.0269044 + 0.00108421i
\(424\) 0.0684061 0.277534i 0.00332209 0.0134783i
\(425\) −22.3493 7.46128i −1.08410 0.361925i
\(426\) 3.98863 + 8.40586i 0.193250 + 0.407265i
\(427\) −35.8831 20.7171i −1.73651 1.00257i
\(428\) −10.1183 14.6589i −0.489088 0.708566i
\(429\) −10.9145 5.10654i −0.526956 0.246546i
\(430\) 25.6457 37.1542i 1.23674 1.79173i
\(431\) 20.6563 9.80155i 0.994980 0.472124i 0.139646 0.990201i \(-0.455403\pi\)
0.855334 + 0.518078i \(0.173352\pi\)
\(432\) −3.78819 + 2.39551i −0.182260 + 0.115254i
\(433\) 22.9140 3.72388i 1.10118 0.178958i 0.417451 0.908699i \(-0.362923\pi\)
0.683724 + 0.729741i \(0.260359\pi\)
\(434\) −2.42760 + 4.62541i −0.116529 + 0.222027i
\(435\) −18.1274 14.8005i −0.869141 0.709632i
\(436\) −19.3939 + 18.6281i −0.928799 + 0.892123i
\(437\) 11.1603i 0.533869i
\(438\) −20.8165 21.6722i −0.994649 1.03554i
\(439\) −15.7831 + 5.26917i −0.753286 + 0.251484i −0.667276 0.744810i \(-0.732540\pi\)
−0.0860100 + 0.996294i \(0.527412\pi\)
\(440\) 0.564109 + 6.98775i 0.0268929 + 0.333128i
\(441\) 1.99350 0.491353i 0.0949284 0.0233978i
\(442\) 15.2688 + 5.69601i 0.726261 + 0.270932i
\(443\) −13.5824 3.34776i −0.645319 0.159057i −0.0969445 0.995290i \(-0.530907\pi\)
−0.548374 + 0.836233i \(0.684753\pi\)
\(444\) −2.64785 + 16.2929i −0.125661 + 0.773226i
\(445\) −8.02255 9.82584i −0.380305 0.465790i
\(446\) 18.7784 14.1111i 0.889185 0.668179i
\(447\) −0.798109 + 0.900879i −0.0377493 + 0.0426101i
\(448\) −2.71362 16.6976i −0.128207 0.788887i
\(449\) 1.01362 12.5559i 0.0478356 0.592550i −0.927789 0.373105i \(-0.878293\pi\)
0.975625 0.219445i \(-0.0704247\pi\)
\(450\) −4.64045 18.8270i −0.218753 0.887515i
\(451\) 3.04657 + 10.5180i 0.143458 + 0.495273i
\(452\) −0.492147 2.41070i −0.0231487 0.113390i
\(453\) −7.03686 + 5.74542i −0.330621 + 0.269943i
\(454\) −6.22195 + 51.2424i −0.292011 + 2.40492i
\(455\) 26.4432 32.7486i 1.23968 1.53528i
\(456\) −0.0777959 0.640707i −0.00364313 0.0300039i
\(457\) 0.585214 + 0.562106i 0.0273752 + 0.0262942i 0.706287 0.707925i \(-0.250369\pi\)
−0.678912 + 0.734220i \(0.737548\pi\)
\(458\) −10.3746 + 10.8011i −0.484772 + 0.504701i
\(459\) −1.00466 + 2.11728i −0.0468935 + 0.0988260i
\(460\) 51.3344 35.4336i 2.39348 1.65210i
\(461\) 12.9401 20.4632i 0.602682 0.953066i −0.396701 0.917948i \(-0.629845\pi\)
0.999383 0.0351178i \(-0.0111806\pi\)
\(462\) 11.6508 + 15.5044i 0.542045 + 0.721331i
\(463\) −2.98210 5.68191i −0.138590 0.264061i 0.806262 0.591558i \(-0.201487\pi\)
−0.944852 + 0.327497i \(0.893795\pi\)
\(464\) 5.40746 26.4875i 0.251035 1.22965i
\(465\) −3.48133 + 0.281042i −0.161443 + 0.0130330i
\(466\) 13.2027 + 3.82421i 0.611603 + 0.177153i
\(467\) −14.3829 7.54871i −0.665560 0.349313i 0.0978739 0.995199i \(-0.468796\pi\)
−0.763434 + 0.645886i \(0.776488\pi\)
\(468\) 1.27322 + 6.06826i 0.0588545 + 0.280505i
\(469\) 13.6611 7.16989i 0.630810 0.331075i
\(470\) 4.06029 0.828913i 0.187287 0.0382349i
\(471\) −3.63266 2.72977i −0.167384 0.125781i
\(472\) −0.0669723 1.66190i −0.00308265 0.0764951i
\(473\) −18.8527 + 7.14988i −0.866847 + 0.328752i
\(474\) 22.0112 6.37562i 1.01101 0.292842i
\(475\) 11.7598 + 2.40078i 0.539576 + 0.110155i
\(476\) −8.04109 9.07651i −0.368563 0.416021i
\(477\) 0.334379 0.409540i 0.0153102 0.0187515i
\(478\) 0.161622 4.01062i 0.00739244 0.183442i
\(479\) 6.20782 + 18.5947i 0.283642 + 0.849613i 0.989914 + 0.141672i \(0.0452477\pi\)
−0.706271 + 0.707941i \(0.749624\pi\)
\(480\) 21.9644 19.4588i 1.00253 0.888166i
\(481\) −30.0654 17.1412i −1.37086 0.781571i
\(482\) −15.1258 13.4003i −0.688963 0.610368i
\(483\) −11.0254 + 25.8776i −0.501673 + 1.17747i
\(484\) −0.145678 + 0.252322i −0.00662174 + 0.0114692i
\(485\) 7.54919 + 13.0756i 0.342791 + 0.593732i
\(486\) −1.91459 + 0.232473i −0.0868473 + 0.0105452i
\(487\) −20.8729 9.90430i −0.945840 0.448807i −0.107653 0.994189i \(-0.534333\pi\)
−0.838188 + 0.545382i \(0.816385\pi\)
\(488\) 6.44759 3.72252i 0.291869 0.168511i
\(489\) −13.7086 9.46239i −0.619926 0.427904i
\(490\) −14.1344 + 6.02212i −0.638528 + 0.272051i
\(491\) 3.80294 + 0.618038i 0.171624 + 0.0278916i 0.245616 0.969367i \(-0.421010\pi\)
−0.0739918 + 0.997259i \(0.523574\pi\)
\(492\) 3.38491 4.50450i 0.152604 0.203079i
\(493\) −5.01242 13.2167i −0.225748 0.595249i
\(494\) −8.07091 1.94286i −0.363128 0.0874135i
\(495\) −4.59817 + 12.1244i −0.206672 + 0.544950i
\(496\) −2.15640 3.41007i −0.0968251 0.153117i
\(497\) 13.3537 + 5.68950i 0.598997 + 0.255209i
\(498\) −8.05807 5.09562i −0.361091 0.228340i
\(499\) −5.13472 0.623467i −0.229861 0.0279102i 0.00479542 0.999989i \(-0.498474\pi\)
−0.234657 + 0.972078i \(0.575397\pi\)
\(500\) 13.2175 + 31.0227i 0.591106 + 1.38738i
\(501\) 1.22711 3.67563i 0.0548231 0.164215i
\(502\) 47.2993 + 17.9383i 2.11107 + 0.800624i
\(503\) 2.01939 + 0.163022i 0.0900402 + 0.00726879i 0.125405 0.992106i \(-0.459977\pi\)
−0.0353644 + 0.999374i \(0.511259\pi\)
\(504\) −0.452576 + 1.56247i −0.0201594 + 0.0695982i
\(505\) 53.5639 + 2.15855i 2.38356 + 0.0960543i
\(506\) −60.2578 −2.67879
\(507\) −12.8535 1.94583i −0.570846 0.0864175i
\(508\) −24.5056 −1.08726
\(509\) 41.0859 + 1.65571i 1.82110 + 0.0733879i 0.927131 0.374737i \(-0.122267\pi\)
0.893971 + 0.448125i \(0.147908\pi\)
\(510\) 4.87905 16.8444i 0.216048 0.745884i
\(511\) −46.7287 3.77233i −2.06715 0.166878i
\(512\) 27.1638 + 10.3019i 1.20048 + 0.455282i
\(513\) 0.378037 1.13236i 0.0166908 0.0499949i
\(514\) −5.07721 11.9167i −0.223946 0.525621i
\(515\) −76.5632 9.29646i −3.37378 0.409651i
\(516\) 8.76881 + 5.54506i 0.386025 + 0.244108i
\(517\) −1.70270 0.725454i −0.0748848 0.0319054i
\(518\) 29.7703 + 47.0780i 1.30803 + 2.06849i
\(519\) 2.71055 7.14714i 0.118980 0.313725i
\(520\) 2.72031 + 7.05702i 0.119293 + 0.309471i
\(521\) 10.4878 + 27.6540i 0.459477 + 1.21154i 0.941986 + 0.335651i \(0.108956\pi\)
−0.482509 + 0.875891i \(0.660274\pi\)
\(522\) 6.98829 9.29972i 0.305869 0.407038i
\(523\) 11.8518 + 1.92610i 0.518242 + 0.0842226i 0.413906 0.910319i \(-0.364164\pi\)
0.104336 + 0.994542i \(0.466728\pi\)
\(524\) 12.8296 5.46617i 0.560462 0.238791i
\(525\) −24.8959 17.1844i −1.08654 0.749987i
\(526\) −8.12101 + 4.68867i −0.354093 + 0.204436i
\(527\) −1.90594 0.904378i −0.0830239 0.0393953i
\(528\) −14.8701 + 1.80556i −0.647140 + 0.0785770i
\(529\) −32.1978 55.7683i −1.39991 2.42471i
\(530\) −1.97817 + 3.42629i −0.0859262 + 0.148829i
\(531\) 1.20587 2.83027i 0.0523301 0.122823i
\(532\) 4.62355 + 4.09611i 0.200457 + 0.177589i
\(533\) 6.36812 + 9.95032i 0.275834 + 0.430996i
\(534\) 4.71971 4.18130i 0.204242 0.180943i
\(535\) −12.7260 38.1191i −0.550193 1.64803i
\(536\) −0.111626 + 2.76996i −0.00482149 + 0.119644i
\(537\) −8.90973 + 10.9124i −0.384483 + 0.470907i
\(538\) 19.2647 + 21.7454i 0.830562 + 0.937511i
\(539\) 6.72312 + 1.37254i 0.289585 + 0.0591193i
\(540\) 6.40882 1.85634i 0.275792 0.0798840i
\(541\) 26.6669 10.1134i 1.14650 0.434810i 0.293107 0.956080i \(-0.405311\pi\)
0.853392 + 0.521270i \(0.174541\pi\)
\(542\) −2.44212 60.6007i −0.104898 2.60302i
\(543\) 12.3914 + 9.31151i 0.531765 + 0.399595i
\(544\) 17.3661 3.54532i 0.744566 0.152004i
\(545\) −53.7220 + 28.1955i −2.30120 + 1.20776i
\(546\) 16.7948 + 12.4783i 0.718750 + 0.534022i
\(547\) 12.8883 + 6.76430i 0.551064 + 0.289221i 0.717183 0.696885i \(-0.245431\pi\)
−0.166119 + 0.986106i \(0.553124\pi\)
\(548\) 25.2958 + 7.32702i 1.08058 + 0.312995i
\(549\) 13.7262 1.10809i 0.585818 0.0472921i
\(550\) 12.9625 63.4947i 0.552724 2.70742i
\(551\) 3.34622 + 6.37569i 0.142554 + 0.271614i
\(552\) −3.03627 4.04054i −0.129232 0.171977i
\(553\) 19.1076 30.2162i 0.812537 1.28492i
\(554\) −15.9223 + 10.9904i −0.676474 + 0.466936i
\(555\) −15.9655 + 33.6465i −0.677697 + 1.42822i
\(556\) 10.2899 10.7129i 0.436388 0.454328i
\(557\) −7.50974 7.21320i −0.318198 0.305633i 0.516559 0.856251i \(-0.327213\pi\)
−0.834757 + 0.550618i \(0.814392\pi\)
\(558\) −0.209268 1.72348i −0.00885902 0.0729606i
\(559\) −17.3187 + 13.1619i −0.732503 + 0.556691i
\(560\) 6.30699 51.9427i 0.266519 2.19498i
\(561\) −6.06693 + 4.95349i −0.256146 + 0.209137i
\(562\) 0.218668 + 1.07111i 0.00922396 + 0.0451819i
\(563\) 1.45117 + 5.01003i 0.0611597 + 0.211148i 0.985278 0.170958i \(-0.0546862\pi\)
−0.924119 + 0.382106i \(0.875199\pi\)
\(564\) 0.227910 + 0.924669i 0.00959676 + 0.0389356i
\(565\) 0.446686 5.53319i 0.0187922 0.232783i
\(566\) −5.41356 33.3110i −0.227549 1.40017i
\(567\) −1.99523 + 2.25215i −0.0837920 + 0.0945816i
\(568\) −2.08507 + 1.56683i −0.0874874 + 0.0657425i
\(569\) −8.68345 10.6353i −0.364029 0.445855i 0.559818 0.828615i \(-0.310871\pi\)
−0.923848 + 0.382761i \(0.874973\pi\)
\(570\) −1.43299 + 8.81754i −0.0600213 + 0.369326i
\(571\) −1.58754 0.391294i −0.0664366 0.0163752i 0.205957 0.978561i \(-0.433969\pi\)
−0.272394 + 0.962186i \(0.587815\pi\)
\(572\) −4.84978 + 20.1466i −0.202779 + 0.842373i
\(573\) −0.377314 + 0.0929994i −0.0157625 + 0.00388511i
\(574\) −1.52996 18.9520i −0.0638593 0.791039i
\(575\) 89.1528 29.7636i 3.71793 1.24123i
\(576\) 3.89471 + 4.05482i 0.162280 + 0.168951i
\(577\) 14.4506i 0.601586i −0.953689 0.300793i \(-0.902749\pi\)
0.953689 0.300793i \(-0.0972513\pi\)
\(578\) −16.0067 + 15.3747i −0.665792 + 0.639502i
\(579\) −5.93611 4.84668i −0.246696 0.201421i
\(580\) −18.7024 + 35.6344i −0.776574 + 1.47964i
\(581\) −14.6813 + 2.38594i −0.609081 + 0.0989854i
\(582\) −6.34326 + 4.01124i −0.262937 + 0.166271i
\(583\) 1.59638 0.757491i 0.0661152 0.0313721i
\(584\) 4.78519 6.93254i 0.198012 0.286871i
\(585\) −1.04992 + 13.9499i −0.0434088 + 0.576756i
\(586\) 4.07592 + 5.90499i 0.168375 + 0.243933i
\(587\) 5.45305 + 3.14832i 0.225071 + 0.129945i 0.608296 0.793710i \(-0.291853\pi\)
−0.383225 + 0.923655i \(0.625187\pi\)
\(588\) −1.51362 3.18988i −0.0624205 0.131548i
\(589\) 1.01933 + 0.340303i 0.0420008 + 0.0140219i
\(590\) −5.50933 + 22.3522i −0.226815 + 0.920226i
\(591\) 17.6299 0.710461i 0.725198 0.0292245i
\(592\) −42.9869 + 1.73231i −1.76675 + 0.0711977i
\(593\) 4.40732 17.8812i 0.180987 0.734293i −0.808357 0.588693i \(-0.799643\pi\)
0.989344 0.145600i \(-0.0465112\pi\)
\(594\) −6.11395 2.04114i −0.250859 0.0837489i
\(595\) −11.7285 24.7174i −0.480823 1.01331i
\(596\) 1.79245 + 1.03487i 0.0734216 + 0.0423900i
\(597\) −7.73366 11.2041i −0.316518 0.458555i
\(598\) −62.3426 + 18.4254i −2.54938 + 0.753469i
\(599\) 11.0398 15.9939i 0.451073 0.653492i −0.529804 0.848120i \(-0.677735\pi\)
0.980877 + 0.194628i \(0.0623500\pi\)
\(600\) 4.91075 2.33018i 0.200480 0.0951291i
\(601\) −21.8796 + 13.8358i −0.892485 + 0.564374i −0.900142 0.435597i \(-0.856537\pi\)
0.00765629 + 0.999971i \(0.497563\pi\)
\(602\) 34.5566 5.61599i 1.40842 0.228891i
\(603\) −2.38294 + 4.54031i −0.0970407 + 0.184896i
\(604\) 12.1011 + 9.88028i 0.492389 + 0.402023i
\(605\) −0.474089 + 0.455368i −0.0192744 + 0.0185134i
\(606\) 26.6473i 1.08247i
\(607\) −5.15681 5.36880i −0.209308 0.217913i 0.608270 0.793730i \(-0.291864\pi\)
−0.817579 + 0.575817i \(0.804684\pi\)
\(608\) −8.56408 + 2.85911i −0.347319 + 0.115952i
\(609\) −1.46031 18.0892i −0.0591748 0.733011i
\(610\) −100.053 + 24.6609i −4.05103 + 0.998490i
\(611\) −1.98344 0.229908i −0.0802414 0.00930110i
\(612\) 3.91304 + 0.964477i 0.158175 + 0.0389867i
\(613\) −6.77573 + 41.6928i −0.273669 + 1.68396i 0.378279 + 0.925692i \(0.376516\pi\)
−0.651948 + 0.758263i \(0.726048\pi\)
\(614\) 8.36195 + 10.2415i 0.337461 + 0.413315i
\(615\) 10.1630 7.63704i 0.409814 0.307955i
\(616\) −3.60509 + 4.06931i −0.145253 + 0.163957i
\(617\) −7.02534 43.2286i −0.282830 1.74032i −0.607344 0.794439i \(-0.707765\pi\)
0.324514 0.945881i \(-0.394799\pi\)
\(618\) 3.08490 38.2134i 0.124093 1.53717i
\(619\) 5.35885 + 21.7417i 0.215390 + 0.873873i 0.974768 + 0.223222i \(0.0716576\pi\)
−0.759377 + 0.650651i \(0.774496\pi\)
\(620\) 1.67104 + 5.76911i 0.0671107 + 0.231693i
\(621\) −1.86995 9.15964i −0.0750387 0.367564i
\(622\) −9.31403 + 7.60467i −0.373459 + 0.304920i
\(623\) 1.18572 9.76532i 0.0475051 0.391239i
\(624\) −14.8325 + 6.41496i −0.593776 + 0.256804i
\(625\) 3.11127 + 25.6236i 0.124451 + 1.02494i
\(626\) −0.442302 0.424837i −0.0176779 0.0169799i
\(627\) 2.76380 2.87742i 0.110375 0.114913i
\(628\) −3.34990 + 7.05975i −0.133675 + 0.281715i
\(629\) −18.5129 + 12.7786i −0.738160 + 0.509515i
\(630\) 12.0337 19.0297i 0.479432 0.758162i
\(631\) −15.6958 20.8873i −0.624838 0.831509i 0.370411 0.928868i \(-0.379217\pi\)
−0.995249 + 0.0973590i \(0.968960\pi\)
\(632\) 2.98530 + 5.68800i 0.118749 + 0.226257i
\(633\) 4.41345 21.6185i 0.175419 0.859259i
\(634\) −60.8800 + 4.91474i −2.41785 + 0.195189i
\(635\) −53.1066 15.3825i −2.10747 0.610437i
\(636\) −0.805064 0.422530i −0.0319229 0.0167544i
\(637\) 7.37542 0.635744i 0.292225 0.0251891i
\(638\) 34.4243 18.0673i 1.36287 0.715290i
\(639\) −4.72670 + 0.964963i −0.186985 + 0.0381734i
\(640\) 13.2838 + 9.98214i 0.525089 + 0.394579i
\(641\) 0.676688 + 16.7918i 0.0267276 + 0.663238i 0.955918 + 0.293635i \(0.0948651\pi\)
−0.929190 + 0.369602i \(0.879494\pi\)
\(642\) 18.6782 7.08371i 0.737170 0.279572i
\(643\) −27.2991 + 7.90729i −1.07657 + 0.311833i −0.768710 0.639598i \(-0.779101\pi\)
−0.307863 + 0.951431i \(0.599614\pi\)
\(644\) 47.3943 + 9.67561i 1.86760 + 0.381272i
\(645\) 15.5223 + 17.5211i 0.611192 + 0.689893i
\(646\) −3.41255 + 4.17962i −0.134265 + 0.164445i
\(647\) −0.415129 + 10.3013i −0.0163204 + 0.404987i 0.970295 + 0.241924i \(0.0777784\pi\)
−0.986616 + 0.163063i \(0.947863\pi\)
\(648\) −0.171203 0.512816i −0.00672549 0.0201453i
\(649\) 7.69597 6.81803i 0.302093 0.267631i
\(650\) −6.00411 69.6551i −0.235501 2.73210i
\(651\) −2.02735 1.79608i −0.0794581 0.0703938i
\(652\) −11.2279 + 26.3529i −0.439720 + 1.03206i
\(653\) −3.64154 + 6.30733i −0.142504 + 0.246825i −0.928439 0.371485i \(-0.878849\pi\)
0.785935 + 0.618309i \(0.212182\pi\)
\(654\) −15.0794 26.1182i −0.589650 1.02130i
\(655\) 31.2344 3.79254i 1.22043 0.148187i
\(656\) 13.2676 + 6.29558i 0.518015 + 0.245801i
\(657\) 13.4935 7.79047i 0.526431 0.303935i
\(658\) 2.64478 + 1.82556i 0.103104 + 0.0711678i
\(659\) −14.0514 + 5.98673i −0.547364 + 0.233210i −0.647903 0.761723i \(-0.724354\pi\)
0.100539 + 0.994933i \(0.467943\pi\)
\(660\) 22.0104 + 3.57703i 0.856752 + 0.139236i
\(661\) −30.3654 + 40.4090i −1.18108 + 1.57173i −0.443815 + 0.896119i \(0.646375\pi\)
−0.737261 + 0.675608i \(0.763881\pi\)
\(662\) −19.0321 50.1836i −0.739705 1.95044i
\(663\) −4.76217 + 6.97999i −0.184948 + 0.271080i
\(664\) 0.947712 2.49891i 0.0367783 0.0969765i
\(665\) 7.44861 + 11.7790i 0.288845 + 0.456771i
\(666\) −17.0311 7.25626i −0.659941 0.281174i
\(667\) 47.6573 + 30.1366i 1.84530 + 1.16690i
\(668\) −6.61527 0.803239i −0.255953 0.0310783i
\(669\) 4.77385 + 11.2046i 0.184568 + 0.433196i
\(670\) 12.1507 36.3957i 0.469421 1.40609i
\(671\) 43.0323 + 16.3200i 1.66124 + 0.630026i
\(672\) 22.6822 + 1.83110i 0.874986 + 0.0706362i
\(673\) −12.6470 + 43.6626i −0.487507 + 1.68307i 0.219297 + 0.975658i \(0.429624\pi\)
−0.706803 + 0.707410i \(0.749863\pi\)
\(674\) 52.9594 + 2.13419i 2.03992 + 0.0822060i
\(675\) 10.0539 0.386976
\(676\) 1.14278 + 22.3266i 0.0439530 + 0.858716i
\(677\) −13.5901 −0.522310 −0.261155 0.965297i \(-0.584103\pi\)
−0.261155 + 0.965297i \(0.584103\pi\)
\(678\) 2.75716 + 0.111110i 0.105888 + 0.00426714i
\(679\) −3.25754 + 11.2463i −0.125013 + 0.431595i
\(680\) 4.89999 + 0.395568i 0.187906 + 0.0151693i
\(681\) −25.0250 9.49072i −0.958959 0.363685i
\(682\) 1.83740 5.50368i 0.0703576 0.210747i
\(683\) −19.3108 45.3241i −0.738907 1.73428i −0.676750 0.736213i \(-0.736612\pi\)
−0.0621568 0.998066i \(-0.519798\pi\)
\(684\) −2.03798 0.247456i −0.0779241 0.00946170i
\(685\) 50.2198 + 31.7570i 1.91880 + 1.21337i
\(686\) 26.4094 + 11.2520i 1.00832 + 0.429604i
\(687\) −4.15027 6.56313i −0.158343 0.250399i
\(688\) −9.58873 + 25.2834i −0.365567 + 0.963921i
\(689\) 1.41999 1.27183i 0.0540972 0.0484529i
\(690\) 24.8066 + 65.4097i 0.944372 + 2.49010i
\(691\) −14.8199 + 19.7217i −0.563775 + 0.750248i −0.987855 0.155376i \(-0.950341\pi\)
0.424080 + 0.905625i \(0.360597\pi\)
\(692\) −12.9748 2.10861i −0.493227 0.0801572i
\(693\) −9.25110 + 3.94153i −0.351420 + 0.149726i
\(694\) 44.1561 + 30.4788i 1.67614 + 1.15696i
\(695\) 29.0240 16.7570i 1.10094 0.635630i
\(696\) 2.94606 + 1.39792i 0.111670 + 0.0529881i
\(697\) 7.62267 0.925559i 0.288729 0.0350581i
\(698\) 5.04768 + 8.74283i 0.191057 + 0.330921i
\(699\) −3.56348 + 6.17213i −0.134783 + 0.233451i
\(700\) −20.3907 + 47.8588i −0.770697 + 1.80889i
\(701\) 19.7209 + 17.4712i 0.744846 + 0.659876i 0.947638 0.319345i \(-0.103463\pi\)
−0.202792 + 0.979222i \(0.565001\pi\)
\(702\) −6.94961 0.242259i −0.262296 0.00914349i
\(703\) 8.57708 7.59863i 0.323491 0.286588i
\(704\) 5.95023 + 17.8231i 0.224258 + 0.671734i
\(705\) −0.0865184 + 2.14693i −0.00325847 + 0.0808581i
\(706\) 14.5472 17.8170i 0.547490 0.670553i
\(707\) 27.5673 + 31.1170i 1.03677 + 1.17028i
\(708\) −5.18359 1.05824i −0.194811 0.0397710i
\(709\) 1.30456 0.377870i 0.0489937 0.0141912i −0.253630 0.967301i \(-0.581625\pi\)
0.302624 + 0.953110i \(0.402137\pi\)
\(710\) 33.7537 12.8011i 1.26676 0.480417i
\(711\) 0.478435 + 11.8723i 0.0179427 + 0.445244i
\(712\) 1.41306 + 1.06184i 0.0529565 + 0.0397942i
\(713\) 8.24535 1.68330i 0.308791 0.0630401i
\(714\) 12.0418 6.32005i 0.450655 0.236522i
\(715\) −23.1564 + 40.6159i −0.865999 + 1.51895i
\(716\) 21.4514 + 11.2586i 0.801678 + 0.420753i
\(717\) 1.99902 + 0.579023i 0.0746547 + 0.0216240i
\(718\) 32.2291 2.60180i 1.20278 0.0970985i
\(719\) 0.883463 4.32749i 0.0329476 0.161388i −0.959988 0.280040i \(-0.909652\pi\)
0.992936 + 0.118652i \(0.0378573\pi\)
\(720\) 8.08159 + 15.3982i 0.301183 + 0.573857i
\(721\) −35.9304 47.8146i −1.33812 1.78071i
\(722\) −18.1161 + 28.6483i −0.674211 + 1.06618i
\(723\) 8.62303 5.95205i 0.320694 0.221359i
\(724\) 11.4268 24.0815i 0.424675 0.894983i
\(725\) −42.0074 + 43.7344i −1.56012 + 1.62425i
\(726\) −0.235661 0.226355i −0.00874619 0.00840083i
\(727\) 0.131271 + 1.08112i 0.00486859 + 0.0400964i 0.994941 0.100464i \(-0.0320327\pi\)
−0.990072 + 0.140560i \(0.955110\pi\)
\(728\) −2.48553 + 5.31245i −0.0921198 + 0.196893i
\(729\) 0.120537 0.992709i 0.00446432 0.0367670i
\(730\) −90.3133 + 73.7385i −3.34265 + 2.72919i
\(731\) 2.82812 + 13.8530i 0.104602 + 0.512373i
\(732\) −6.58858 22.7464i −0.243521 0.840731i
\(733\) 0.0719614 + 0.291959i 0.00265795 + 0.0107837i 0.972256 0.233920i \(-0.0751554\pi\)
−0.969598 + 0.244704i \(0.921309\pi\)
\(734\) 2.87711 35.6394i 0.106196 1.31548i
\(735\) −1.27786 7.86297i −0.0471345 0.290030i
\(736\) −46.8851 + 52.9224i −1.72821 + 1.95074i
\(737\) −13.7000 + 10.2949i −0.504646 + 0.379217i
\(738\) 3.99657 + 4.89491i 0.147116 + 0.180184i
\(739\) 4.42566 27.2322i 0.162800 1.00175i −0.769124 0.639099i \(-0.779307\pi\)
0.931925 0.362652i \(-0.118129\pi\)
\(740\) 62.1837 + 15.3269i 2.28592 + 0.563428i
\(741\) 1.97958 3.82207i 0.0727215 0.140407i
\(742\) −2.97894 + 0.734243i −0.109360 + 0.0269549i
\(743\) −2.77789 34.4103i −0.101911 1.26239i −0.822393 0.568920i \(-0.807362\pi\)
0.720482 0.693473i \(-0.243921\pi\)
\(744\) 0.461628 0.154114i 0.0169241 0.00565010i
\(745\) 3.23485 + 3.36783i 0.118516 + 0.123388i
\(746\) 49.2274i 1.80234i
\(747\) 3.56518 3.42440i 0.130443 0.125292i
\(748\) 10.4332 + 8.51842i 0.381475 + 0.311464i
\(749\) 14.4830 27.5950i 0.529196 1.00830i
\(750\) −37.3290 + 6.06655i −1.36306 + 0.221519i
\(751\) 29.0549 18.3732i 1.06023 0.670448i 0.113847 0.993498i \(-0.463683\pi\)
0.946382 + 0.323050i \(0.104708\pi\)
\(752\) −2.24248 + 1.06407i −0.0817747 + 0.0388026i
\(753\) −14.8998 + 21.5861i −0.542979 + 0.786641i
\(754\) 30.0908 29.2185i 1.09584 1.06407i
\(755\) 20.0226 + 29.0078i 0.728699 + 1.05570i
\(756\) 4.48103 + 2.58713i 0.162974 + 0.0940929i
\(757\) −0.369353 0.778395i −0.0134244 0.0282912i 0.896628 0.442786i \(-0.146010\pi\)
−0.910052 + 0.414494i \(0.863958\pi\)
\(758\) 56.4079 + 18.8317i 2.04883 + 0.683998i
\(759\) 7.47707 30.3357i 0.271401 1.10112i
\(760\) −2.50213 + 0.100832i −0.0907619 + 0.00365758i
\(761\) 41.2622 1.66281i 1.49576 0.0602769i 0.721175 0.692753i \(-0.243602\pi\)
0.774580 + 0.632476i \(0.217961\pi\)
\(762\) 6.57722 26.6848i 0.238267 0.966689i
\(763\) −44.6287 14.8992i −1.61567 0.539389i
\(764\) 0.286486 + 0.603755i 0.0103647 + 0.0218431i
\(765\) 7.87460 + 4.54641i 0.284707 + 0.164376i
\(766\) 31.5008 + 45.6368i 1.13817 + 1.64892i
\(767\) 5.87745 9.40716i 0.212222 0.339673i
\(768\) −11.0797 + 16.0517i −0.399804 + 0.579216i
\(769\) 33.3235 15.8122i 1.20168 0.570203i 0.280691 0.959798i \(-0.409437\pi\)
0.920986 + 0.389596i \(0.127385\pi\)
\(770\) 63.5986 40.2173i 2.29193 1.44933i
\(771\) 6.62922 1.07735i 0.238746 0.0387999i
\(772\) −6.12440 + 11.6691i −0.220422 + 0.419979i
\(773\) 8.62710 + 7.04381i 0.310295 + 0.253348i 0.774777