Properties

Label 483.2.y.b.340.3
Level $483$
Weight $2$
Character 483.340
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 340.3
Character \(\chi\) \(=\) 483.340
Dual form 483.2.y.b.331.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.479413 - 1.97617i) q^{2} +(-0.327068 - 0.945001i) q^{3} +(-1.89773 + 0.978346i) q^{4} +(3.28882 - 1.31665i) q^{5} +(-1.71068 + 1.09939i) q^{6} +(0.889851 + 2.49162i) q^{7} +(0.179868 + 0.207579i) q^{8} +(-0.786053 + 0.618159i) q^{9} +O(q^{10})\) \(q+(-0.479413 - 1.97617i) q^{2} +(-0.327068 - 0.945001i) q^{3} +(-1.89773 + 0.978346i) q^{4} +(3.28882 - 1.31665i) q^{5} +(-1.71068 + 1.09939i) q^{6} +(0.889851 + 2.49162i) q^{7} +(0.179868 + 0.207579i) q^{8} +(-0.786053 + 0.618159i) q^{9} +(-4.17862 - 5.86805i) q^{10} +(0.938413 - 3.86819i) q^{11} +(1.54522 + 1.47337i) q^{12} +(-0.232566 + 0.509248i) q^{13} +(4.49725 - 2.95301i) q^{14} +(-2.31990 - 2.67731i) q^{15} +(-2.15295 + 3.02339i) q^{16} +(-0.0693264 - 1.45534i) q^{17} +(1.59843 + 1.25702i) q^{18} +(0.219093 - 4.59933i) q^{19} +(-4.95315 + 5.71625i) q^{20} +(2.06354 - 1.65584i) q^{21} -8.09408 q^{22} +(0.416605 - 4.77770i) q^{23} +(0.137333 - 0.237868i) q^{24} +(5.46413 - 5.21004i) q^{25} +(1.11785 + 0.215449i) q^{26} +(0.841254 + 0.540641i) q^{27} +(-4.12636 - 3.85783i) q^{28} +(-5.64801 + 3.62976i) q^{29} +(-4.17862 + 5.86805i) q^{30} +(4.49506 - 0.866352i) q^{31} +(7.51686 + 3.00930i) q^{32} +(-3.96237 + 0.378360i) q^{33} +(-2.84276 + 0.834709i) q^{34} +(6.20714 + 7.02288i) q^{35} +(0.886941 - 1.94213i) q^{36} +(-6.20306 + 4.87814i) q^{37} +(-9.19409 + 1.77202i) q^{38} +(0.557304 + 0.0532161i) q^{39} +(0.864864 + 0.445868i) q^{40} +(-0.713712 + 4.96398i) q^{41} +(-4.26150 - 3.28407i) q^{42} +(-0.474440 + 0.547532i) q^{43} +(2.00358 + 8.25887i) q^{44} +(-1.77129 + 3.06797i) q^{45} +(-9.64126 + 1.46721i) q^{46} +(4.46117 + 7.72697i) q^{47} +(3.56127 + 1.04568i) q^{48} +(-5.41633 + 4.43434i) q^{49} +(-12.9155 - 8.30028i) q^{50} +(-1.35262 + 0.541509i) q^{51} +(-0.0568745 - 1.19394i) q^{52} +(8.48308 + 0.810036i) q^{53} +(0.665089 - 1.92165i) q^{54} +(-2.00677 - 13.9574i) q^{55} +(-0.357152 + 0.632878i) q^{56} +(-4.41803 + 1.29725i) q^{57} +(9.88074 + 9.42127i) q^{58} +(-0.382356 - 0.536944i) q^{59} +(7.02187 + 2.81113i) q^{60} +(0.383689 - 1.10860i) q^{61} +(-3.86704 - 8.46765i) q^{62} +(-2.23969 - 1.40848i) q^{63} +(1.28676 - 8.94959i) q^{64} +(-0.0943682 + 1.98103i) q^{65} +(2.64731 + 7.64891i) q^{66} +(3.14692 - 3.00058i) q^{67} +(1.55539 + 2.69401i) q^{68} +(-4.65119 + 1.16894i) q^{69} +(10.9026 - 15.6332i) q^{70} +(5.70982 + 1.67656i) q^{71} +(-0.269703 - 0.0519810i) q^{72} +(-0.927600 + 0.478211i) q^{73} +(12.6139 + 9.91964i) q^{74} +(-6.71064 - 3.45957i) q^{75} +(4.08396 + 8.94263i) q^{76} +(10.4731 - 1.10394i) q^{77} +(-0.162015 - 1.12684i) q^{78} +(6.39438 - 0.610590i) q^{79} +(-3.09993 + 12.7781i) q^{80} +(0.235759 - 0.971812i) q^{81} +(10.1518 - 0.969380i) q^{82} +(-0.499366 - 3.47317i) q^{83} +(-2.29605 + 5.16119i) q^{84} +(-2.14417 - 4.69508i) q^{85} +(1.30947 + 0.675078i) q^{86} +(5.27741 + 4.15020i) q^{87} +(0.971747 - 0.500970i) q^{88} +(-13.4543 - 2.59311i) q^{89} +(6.91200 + 2.02955i) q^{90} +(-1.47580 - 0.126311i) q^{91} +(3.88365 + 9.47436i) q^{92} +(-2.28889 - 3.96448i) q^{93} +(13.1310 - 12.5204i) q^{94} +(-5.33514 - 15.4149i) q^{95} +(0.385264 - 8.08768i) q^{96} +(0.828262 - 5.76069i) q^{97} +(11.3596 + 8.57770i) q^{98} +(1.65351 + 3.62069i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{6}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.479413 1.97617i −0.338996 1.39736i −0.844971 0.534813i \(-0.820382\pi\)
0.505975 0.862548i \(-0.331133\pi\)
\(3\) −0.327068 0.945001i −0.188833 0.545596i
\(4\) −1.89773 + 0.978346i −0.948864 + 0.489173i
\(5\) 3.28882 1.31665i 1.47081 0.588822i 0.508566 0.861023i \(-0.330176\pi\)
0.962241 + 0.272201i \(0.0877515\pi\)
\(6\) −1.71068 + 1.09939i −0.698382 + 0.448823i
\(7\) 0.889851 + 2.49162i 0.336332 + 0.941744i
\(8\) 0.179868 + 0.207579i 0.0635931 + 0.0733903i
\(9\) −0.786053 + 0.618159i −0.262018 + 0.206053i
\(10\) −4.17862 5.86805i −1.32139 1.85564i
\(11\) 0.938413 3.86819i 0.282942 1.16630i −0.635929 0.771747i \(-0.719383\pi\)
0.918872 0.394557i \(-0.129102\pi\)
\(12\) 1.54522 + 1.47337i 0.446068 + 0.425325i
\(13\) −0.232566 + 0.509248i −0.0645021 + 0.141240i −0.939138 0.343541i \(-0.888373\pi\)
0.874635 + 0.484781i \(0.161101\pi\)
\(14\) 4.49725 2.95301i 1.20194 0.789224i
\(15\) −2.31990 2.67731i −0.598996 0.691278i
\(16\) −2.15295 + 3.02339i −0.538237 + 0.755848i
\(17\) −0.0693264 1.45534i −0.0168141 0.352972i −0.991559 0.129653i \(-0.958614\pi\)
0.974745 0.223319i \(-0.0716892\pi\)
\(18\) 1.59843 + 1.25702i 0.376753 + 0.296282i
\(19\) 0.219093 4.59933i 0.0502635 1.05516i −0.823040 0.567983i \(-0.807724\pi\)
0.873304 0.487176i \(-0.161973\pi\)
\(20\) −4.95315 + 5.71625i −1.10756 + 1.27819i
\(21\) 2.06354 1.65584i 0.450301 0.361334i
\(22\) −8.09408 −1.72566
\(23\) 0.416605 4.77770i 0.0868682 0.996220i
\(24\) 0.137333 0.237868i 0.0280330 0.0485547i
\(25\) 5.46413 5.21004i 1.09283 1.04201i
\(26\) 1.11785 + 0.215449i 0.219229 + 0.0422529i
\(27\) 0.841254 + 0.540641i 0.161899 + 0.104046i
\(28\) −4.12636 3.85783i −0.779809 0.729062i
\(29\) −5.64801 + 3.62976i −1.04881 + 0.674029i −0.947150 0.320790i \(-0.896052\pi\)
−0.101660 + 0.994819i \(0.532415\pi\)
\(30\) −4.17862 + 5.86805i −0.762908 + 1.07135i
\(31\) 4.49506 0.866352i 0.807336 0.155601i 0.231148 0.972919i \(-0.425752\pi\)
0.576188 + 0.817317i \(0.304540\pi\)
\(32\) 7.51686 + 3.00930i 1.32881 + 0.531973i
\(33\) −3.96237 + 0.378360i −0.689760 + 0.0658641i
\(34\) −2.84276 + 0.834709i −0.487529 + 0.143151i
\(35\) 6.20714 + 7.02288i 1.04920 + 1.18708i
\(36\) 0.886941 1.94213i 0.147823 0.323688i
\(37\) −6.20306 + 4.87814i −1.01978 + 0.801962i −0.980351 0.197261i \(-0.936795\pi\)
−0.0394264 + 0.999222i \(0.512553\pi\)
\(38\) −9.19409 + 1.77202i −1.49148 + 0.287459i
\(39\) 0.557304 + 0.0532161i 0.0892401 + 0.00852139i
\(40\) 0.864864 + 0.445868i 0.136747 + 0.0704980i
\(41\) −0.713712 + 4.96398i −0.111463 + 0.775243i 0.855035 + 0.518570i \(0.173535\pi\)
−0.966498 + 0.256673i \(0.917374\pi\)
\(42\) −4.26150 3.28407i −0.657564 0.506743i
\(43\) −0.474440 + 0.547532i −0.0723514 + 0.0834979i −0.790771 0.612112i \(-0.790320\pi\)
0.718420 + 0.695610i \(0.244866\pi\)
\(44\) 2.00358 + 8.25887i 0.302051 + 1.24507i
\(45\) −1.77129 + 3.06797i −0.264049 + 0.457346i
\(46\) −9.64126 + 1.46721i −1.42153 + 0.216328i
\(47\) 4.46117 + 7.72697i 0.650728 + 1.12709i 0.982946 + 0.183892i \(0.0588697\pi\)
−0.332218 + 0.943203i \(0.607797\pi\)
\(48\) 3.56127 + 1.04568i 0.514024 + 0.150931i
\(49\) −5.41633 + 4.43434i −0.773762 + 0.633477i
\(50\) −12.9155 8.30028i −1.82653 1.17384i
\(51\) −1.35262 + 0.541509i −0.189405 + 0.0758264i
\(52\) −0.0568745 1.19394i −0.00788707 0.165570i
\(53\) 8.48308 + 0.810036i 1.16524 + 0.111267i 0.659695 0.751533i \(-0.270685\pi\)
0.505545 + 0.862800i \(0.331291\pi\)
\(54\) 0.665089 1.92165i 0.0905071 0.261503i
\(55\) −2.00677 13.9574i −0.270592 1.88201i
\(56\) −0.357152 + 0.632878i −0.0477265 + 0.0845719i
\(57\) −4.41803 + 1.29725i −0.585183 + 0.171825i
\(58\) 9.88074 + 9.42127i 1.29740 + 1.23707i
\(59\) −0.382356 0.536944i −0.0497785 0.0699041i 0.788936 0.614475i \(-0.210632\pi\)
−0.838715 + 0.544571i \(0.816693\pi\)
\(60\) 7.02187 + 2.81113i 0.906520 + 0.362916i
\(61\) 0.383689 1.10860i 0.0491263 0.141941i −0.917769 0.397115i \(-0.870011\pi\)
0.966895 + 0.255174i \(0.0821327\pi\)
\(62\) −3.86704 8.46765i −0.491115 1.07539i
\(63\) −2.23969 1.40848i −0.282174 0.177451i
\(64\) 1.28676 8.94959i 0.160845 1.11870i
\(65\) −0.0943682 + 1.98103i −0.0117049 + 0.245717i
\(66\) 2.64731 + 7.64891i 0.325862 + 0.941516i
\(67\) 3.14692 3.00058i 0.384457 0.366579i −0.473064 0.881028i \(-0.656852\pi\)
0.857521 + 0.514449i \(0.172004\pi\)
\(68\) 1.55539 + 2.69401i 0.188619 + 0.326697i
\(69\) −4.65119 + 1.16894i −0.559938 + 0.140724i
\(70\) 10.9026 15.6332i 1.30311 1.86853i
\(71\) 5.70982 + 1.67656i 0.677631 + 0.198971i 0.602399 0.798195i \(-0.294212\pi\)
0.0752328 + 0.997166i \(0.476030\pi\)
\(72\) −0.269703 0.0519810i −0.0317848 0.00612602i
\(73\) −0.927600 + 0.478211i −0.108567 + 0.0559704i −0.511655 0.859191i \(-0.670967\pi\)
0.403087 + 0.915161i \(0.367937\pi\)
\(74\) 12.6139 + 9.91964i 1.46633 + 1.15314i
\(75\) −6.71064 3.45957i −0.774878 0.399477i
\(76\) 4.08396 + 8.94263i 0.468463 + 1.02579i
\(77\) 10.4731 1.10394i 1.19352 0.125806i
\(78\) −0.162015 1.12684i −0.0183446 0.127589i
\(79\) 6.39438 0.610590i 0.719424 0.0686967i 0.271079 0.962557i \(-0.412620\pi\)
0.448345 + 0.893860i \(0.352013\pi\)
\(80\) −3.09993 + 12.7781i −0.346582 + 1.42863i
\(81\) 0.235759 0.971812i 0.0261954 0.107979i
\(82\) 10.1518 0.969380i 1.12108 0.107050i
\(83\) −0.499366 3.47317i −0.0548125 0.381230i −0.998701 0.0509638i \(-0.983771\pi\)
0.943888 0.330266i \(-0.107138\pi\)
\(84\) −2.29605 + 5.16119i −0.250520 + 0.563132i
\(85\) −2.14417 4.69508i −0.232568 0.509253i
\(86\) 1.30947 + 0.675078i 0.141204 + 0.0727955i
\(87\) 5.27741 + 4.15020i 0.565798 + 0.444948i
\(88\) 0.971747 0.500970i 0.103589 0.0534036i
\(89\) −13.4543 2.59311i −1.42616 0.274869i −0.582972 0.812492i \(-0.698110\pi\)
−0.843186 + 0.537623i \(0.819322\pi\)
\(90\) 6.91200 + 2.02955i 0.728589 + 0.213933i
\(91\) −1.47580 0.126311i −0.154706 0.0132409i
\(92\) 3.88365 + 9.47436i 0.404898 + 0.987770i
\(93\) −2.28889 3.96448i −0.237347 0.411097i
\(94\) 13.1310 12.5204i 1.35436 1.29138i
\(95\) −5.33514 15.4149i −0.547374 1.58153i
\(96\) 0.385264 8.08768i 0.0393208 0.825445i
\(97\) 0.828262 5.76069i 0.0840973 0.584909i −0.903582 0.428416i \(-0.859072\pi\)
0.987679 0.156494i \(-0.0500190\pi\)
\(98\) 11.3596 + 8.57770i 1.14750 + 0.866478i
\(99\) 1.65351 + 3.62069i 0.166185 + 0.363893i
\(100\) −5.27221 + 15.2331i −0.527221 + 1.52331i
\(101\) −10.3171 4.13035i −1.02659 0.410985i −0.203609 0.979052i \(-0.565267\pi\)
−0.822982 + 0.568067i \(0.807691\pi\)
\(102\) 1.71858 + 2.41340i 0.170164 + 0.238962i
\(103\) 10.5855 + 10.0933i 1.04302 + 0.994521i 0.999990 0.00455223i \(-0.00144903\pi\)
0.0430343 + 0.999074i \(0.486298\pi\)
\(104\) −0.147540 + 0.0433218i −0.0144675 + 0.00424805i
\(105\) 4.60647 8.16271i 0.449545 0.796599i
\(106\) −2.46613 17.1523i −0.239532 1.66598i
\(107\) −3.97167 + 11.4754i −0.383955 + 1.10937i 0.573106 + 0.819481i \(0.305738\pi\)
−0.957061 + 0.289885i \(0.906383\pi\)
\(108\) −2.12540 0.202951i −0.204517 0.0195290i
\(109\) 0.344149 + 7.22457i 0.0329635 + 0.691988i 0.953511 + 0.301358i \(0.0974399\pi\)
−0.920548 + 0.390630i \(0.872257\pi\)
\(110\) −26.6200 + 10.6570i −2.53812 + 1.01611i
\(111\) 6.63867 + 4.26642i 0.630115 + 0.404950i
\(112\) −9.44894 2.67396i −0.892841 0.252665i
\(113\) 17.1388 + 5.03241i 1.61229 + 0.473410i 0.958930 0.283642i \(-0.0915427\pi\)
0.653355 + 0.757052i \(0.273361\pi\)
\(114\) 4.68165 + 8.10885i 0.438476 + 0.759464i
\(115\) −4.92040 16.2615i −0.458830 1.51640i
\(116\) 7.16723 12.4140i 0.665461 1.15261i
\(117\) −0.131987 0.544058i −0.0122022 0.0502982i
\(118\) −0.877784 + 1.01302i −0.0808066 + 0.0932557i
\(119\) 3.56446 1.46777i 0.326754 0.134550i
\(120\) 0.138477 0.963126i 0.0126411 0.0879210i
\(121\) −4.30510 2.21943i −0.391373 0.201767i
\(122\) −2.37471 0.226758i −0.214997 0.0205297i
\(123\) 4.92440 0.949099i 0.444018 0.0855774i
\(124\) −7.68280 + 6.04182i −0.689936 + 0.542572i
\(125\) 3.75257 8.21699i 0.335640 0.734950i
\(126\) −1.70965 + 5.10124i −0.152308 + 0.454454i
\(127\) 12.2255 3.58972i 1.08483 0.318536i 0.310023 0.950729i \(-0.399663\pi\)
0.774811 + 0.632193i \(0.217845\pi\)
\(128\) −2.18239 + 0.208393i −0.192898 + 0.0184196i
\(129\) 0.672593 + 0.269265i 0.0592185 + 0.0237075i
\(130\) 3.96009 0.763245i 0.347323 0.0669410i
\(131\) 8.72375 12.2508i 0.762198 1.07036i −0.233000 0.972477i \(-0.574854\pi\)
0.995198 0.0978804i \(-0.0312063\pi\)
\(132\) 7.14933 4.59460i 0.622269 0.399908i
\(133\) 11.6548 3.54682i 1.01060 0.307549i
\(134\) −7.43832 4.78032i −0.642573 0.412956i
\(135\) 3.47857 + 0.670439i 0.299387 + 0.0577022i
\(136\) 0.289629 0.276160i 0.0248355 0.0236806i
\(137\) 11.4922 19.9050i 0.981842 1.70060i 0.326634 0.945151i \(-0.394086\pi\)
0.655208 0.755449i \(-0.272581\pi\)
\(138\) 4.53986 + 8.63112i 0.386459 + 0.734730i
\(139\) −16.8065 −1.42551 −0.712756 0.701412i \(-0.752553\pi\)
−0.712756 + 0.701412i \(0.752553\pi\)
\(140\) −18.6503 7.25477i −1.57624 0.613140i
\(141\) 5.84289 6.74305i 0.492060 0.567868i
\(142\) 0.575790 12.0873i 0.0483192 1.01435i
\(143\) 1.75162 + 1.37749i 0.146478 + 0.115192i
\(144\) −0.176606 3.70741i −0.0147171 0.308951i
\(145\) −13.7962 + 19.3741i −1.14571 + 1.60893i
\(146\) 1.38973 + 1.60383i 0.115015 + 0.132734i
\(147\) 5.96196 + 3.66811i 0.491734 + 0.302540i
\(148\) 6.99921 15.3261i 0.575332 1.25980i
\(149\) −9.85132 9.39321i −0.807052 0.769522i 0.169334 0.985559i \(-0.445838\pi\)
−0.976385 + 0.216037i \(0.930687\pi\)
\(150\) −3.61953 + 14.9199i −0.295533 + 1.21820i
\(151\) 10.3711 + 14.5642i 0.843990 + 1.18522i 0.980876 + 0.194632i \(0.0623511\pi\)
−0.136886 + 0.990587i \(0.543710\pi\)
\(152\) 0.994134 0.781796i 0.0806349 0.0634120i
\(153\) 0.954126 + 1.10112i 0.0771365 + 0.0890203i
\(154\) −7.20252 20.1674i −0.580396 1.62513i
\(155\) 13.6428 8.76768i 1.09581 0.704237i
\(156\) −1.10968 + 0.444247i −0.0888451 + 0.0355682i
\(157\) −21.7033 + 11.1888i −1.73211 + 0.892965i −0.762976 + 0.646426i \(0.776263\pi\)
−0.969133 + 0.246538i \(0.920707\pi\)
\(158\) −4.27218 12.3436i −0.339876 0.982008i
\(159\) −2.00906 8.28145i −0.159329 0.656762i
\(160\) 28.6838 2.26765
\(161\) 12.2749 3.21342i 0.967400 0.253253i
\(162\) −2.03349 −0.159766
\(163\) 0.497319 + 2.04998i 0.0389531 + 0.160567i 0.987966 0.154670i \(-0.0494313\pi\)
−0.949013 + 0.315236i \(0.897916\pi\)
\(164\) −3.50206 10.1185i −0.273465 0.790125i
\(165\) −12.5334 + 6.46140i −0.975721 + 0.503019i
\(166\) −6.62415 + 2.65191i −0.514134 + 0.205828i
\(167\) −6.52096 + 4.19077i −0.504607 + 0.324291i −0.768057 0.640382i \(-0.778776\pi\)
0.263449 + 0.964673i \(0.415140\pi\)
\(168\) 0.714883 + 0.130515i 0.0551544 + 0.0100695i
\(169\) 8.30794 + 9.58788i 0.639073 + 0.737529i
\(170\) −8.25032 + 6.48812i −0.632770 + 0.497616i
\(171\) 2.67090 + 3.75076i 0.204249 + 0.286827i
\(172\) 0.364681 1.50323i 0.0278066 0.114620i
\(173\) 16.9923 + 16.2021i 1.29190 + 1.23182i 0.957177 + 0.289504i \(0.0934904\pi\)
0.334720 + 0.942317i \(0.391358\pi\)
\(174\) 5.67143 12.4187i 0.429950 0.941459i
\(175\) 17.8437 + 8.97838i 1.34886 + 0.678702i
\(176\) 9.67470 + 11.1652i 0.729258 + 0.841609i
\(177\) −0.382356 + 0.536944i −0.0287396 + 0.0403592i
\(178\) 1.32576 + 27.8312i 0.0993702 + 2.08604i
\(179\) −12.8572 10.1110i −0.960991 0.755732i 0.00872622 0.999962i \(-0.497222\pi\)
−0.969717 + 0.244230i \(0.921465\pi\)
\(180\) 0.359894 7.55511i 0.0268249 0.563125i
\(181\) −9.72501 + 11.2233i −0.722854 + 0.834219i −0.991647 0.128980i \(-0.958830\pi\)
0.268793 + 0.963198i \(0.413375\pi\)
\(182\) 0.457906 + 2.97698i 0.0339423 + 0.220669i
\(183\) −1.17312 −0.0867192
\(184\) 1.06669 0.772879i 0.0786371 0.0569774i
\(185\) −13.9780 + 24.2106i −1.02768 + 1.78000i
\(186\) −6.73715 + 6.42386i −0.493992 + 0.471020i
\(187\) −5.69459 1.09754i −0.416430 0.0802603i
\(188\) −16.0257 10.2991i −1.16880 0.751140i
\(189\) −0.598481 + 2.57717i −0.0435331 + 0.187462i
\(190\) −27.9046 + 17.9332i −2.02441 + 1.30101i
\(191\) 9.16185 12.8660i 0.662928 0.930953i −0.337016 0.941499i \(-0.609418\pi\)
0.999944 + 0.0105463i \(0.00335705\pi\)
\(192\) −8.87823 + 1.71114i −0.640731 + 0.123491i
\(193\) −1.64345 0.657940i −0.118298 0.0473595i 0.311758 0.950161i \(-0.399082\pi\)
−0.430057 + 0.902802i \(0.641506\pi\)
\(194\) −11.7812 + 1.12496i −0.845838 + 0.0807677i
\(195\) 1.90294 0.558754i 0.136272 0.0400132i
\(196\) 5.94040 13.7142i 0.424315 0.979587i
\(197\) −10.8694 + 23.8008i −0.774415 + 1.69573i −0.0577348 + 0.998332i \(0.518388\pi\)
−0.716681 + 0.697401i \(0.754339\pi\)
\(198\) 6.36238 5.00343i 0.452154 0.355578i
\(199\) −0.183318 + 0.0353316i −0.0129950 + 0.00250459i −0.195745 0.980655i \(-0.562712\pi\)
0.182750 + 0.983159i \(0.441500\pi\)
\(200\) 2.06432 + 0.197119i 0.145970 + 0.0139384i
\(201\) −3.86481 1.99245i −0.272602 0.140536i
\(202\) −3.21610 + 22.3685i −0.226284 + 1.57384i
\(203\) −14.0699 10.8428i −0.987511 0.761012i
\(204\) 2.03713 2.35097i 0.142627 0.164601i
\(205\) 4.18853 + 17.2654i 0.292540 + 1.20586i
\(206\) 14.8712 25.7576i 1.03612 1.79462i
\(207\) 2.62591 + 4.01306i 0.182513 + 0.278927i
\(208\) −1.03895 1.79952i −0.0720384 0.124774i
\(209\) −17.5855 5.16357i −1.21642 0.357172i
\(210\) −18.3393 5.18984i −1.26553 0.358133i
\(211\) −4.32568 2.77994i −0.297792 0.191379i 0.383209 0.923662i \(-0.374819\pi\)
−0.681001 + 0.732282i \(0.738455\pi\)
\(212\) −16.8911 + 6.76216i −1.16008 + 0.464427i
\(213\) −0.283154 5.94414i −0.0194014 0.407285i
\(214\) 24.5813 + 2.34723i 1.68034 + 0.160453i
\(215\) −0.839441 + 2.42541i −0.0572494 + 0.165411i
\(216\) 0.0390891 + 0.271871i 0.00265968 + 0.0184985i
\(217\) 6.15855 + 10.4291i 0.418070 + 0.707970i
\(218\) 14.1120 4.14365i 0.955783 0.280643i
\(219\) 0.755298 + 0.720175i 0.0510383 + 0.0486649i
\(220\) 17.4634 + 24.5240i 1.17738 + 1.65340i
\(221\) 0.757251 + 0.303158i 0.0509382 + 0.0203926i
\(222\) 5.24848 15.1645i 0.352255 1.01777i
\(223\) 4.88505 + 10.6968i 0.327127 + 0.716309i 0.999719 0.0237047i \(-0.00754615\pi\)
−0.672592 + 0.740014i \(0.734819\pi\)
\(224\) −0.809139 + 21.4070i −0.0540629 + 1.43031i
\(225\) −1.07447 + 7.47307i −0.0716310 + 0.498205i
\(226\) 1.72831 36.2818i 0.114966 2.41343i
\(227\) −2.04619 5.91207i −0.135810 0.392398i 0.856504 0.516140i \(-0.172632\pi\)
−0.992314 + 0.123742i \(0.960510\pi\)
\(228\) 7.11506 6.78420i 0.471206 0.449294i
\(229\) 9.84000 + 17.0434i 0.650246 + 1.12626i 0.983063 + 0.183267i \(0.0586674\pi\)
−0.332817 + 0.942991i \(0.607999\pi\)
\(230\) −29.7766 + 17.5195i −1.96341 + 1.15520i
\(231\) −4.46865 9.53603i −0.294015 0.627425i
\(232\) −1.76936 0.519531i −0.116164 0.0341089i
\(233\) 28.0044 + 5.39741i 1.83463 + 0.353596i 0.984832 0.173513i \(-0.0555119\pi\)
0.849798 + 0.527109i \(0.176724\pi\)
\(234\) −1.01187 + 0.521657i −0.0661482 + 0.0341018i
\(235\) 24.8457 + 19.5389i 1.62075 + 1.27458i
\(236\) 1.25092 + 0.644896i 0.0814282 + 0.0419792i
\(237\) −2.66841 5.84299i −0.173332 0.379543i
\(238\) −4.60941 6.34031i −0.298784 0.410981i
\(239\) −2.28964 15.9248i −0.148104 1.03009i −0.919319 0.393513i \(-0.871259\pi\)
0.771214 0.636575i \(-0.219650\pi\)
\(240\) 13.0892 1.24986i 0.844902 0.0806784i
\(241\) 6.76875 27.9012i 0.436014 1.79727i −0.151954 0.988388i \(-0.548556\pi\)
0.587967 0.808885i \(-0.299928\pi\)
\(242\) −2.32205 + 9.57162i −0.149267 + 0.615287i
\(243\) −0.995472 + 0.0950560i −0.0638596 + 0.00609785i
\(244\) 0.356454 + 2.47919i 0.0228196 + 0.158714i
\(245\) −11.9749 + 21.7151i −0.765049 + 1.38733i
\(246\) −4.23640 9.27642i −0.270103 0.591443i
\(247\) 2.29125 + 1.18122i 0.145789 + 0.0751592i
\(248\) 0.988355 + 0.777251i 0.0627606 + 0.0493555i
\(249\) −3.11882 + 1.60786i −0.197647 + 0.101894i
\(250\) −18.0372 3.47638i −1.14077 0.219866i
\(251\) 6.16591 + 1.81047i 0.389189 + 0.114276i 0.470472 0.882415i \(-0.344084\pi\)
−0.0812833 + 0.996691i \(0.525902\pi\)
\(252\) 5.62829 + 0.481714i 0.354549 + 0.0303451i
\(253\) −18.0901 6.09497i −1.13732 0.383187i
\(254\) −12.9549 22.4386i −0.812865 1.40792i
\(255\) −3.73556 + 3.56185i −0.233930 + 0.223052i
\(256\) −4.45636 12.8758i −0.278523 0.804738i
\(257\) −0.191000 + 4.00959i −0.0119143 + 0.250112i 0.985051 + 0.172263i \(0.0551080\pi\)
−0.996965 + 0.0778482i \(0.975195\pi\)
\(258\) 0.209664 1.45824i 0.0130531 0.0907863i
\(259\) −17.6743 11.1149i −1.09823 0.690643i
\(260\) −1.75905 3.85178i −0.109092 0.238877i
\(261\) 2.19587 6.34455i 0.135921 0.392718i
\(262\) −28.3919 11.3664i −1.75406 0.702219i
\(263\) 6.99059 + 9.81691i 0.431058 + 0.605337i 0.971787 0.235861i \(-0.0757908\pi\)
−0.540729 + 0.841197i \(0.681851\pi\)
\(264\) −0.791245 0.754450i −0.0486977 0.0464332i
\(265\) 28.9659 8.50515i 1.77936 0.522467i
\(266\) −12.5966 21.3313i −0.772344 1.30791i
\(267\) 1.94999 + 13.5625i 0.119338 + 0.830011i
\(268\) −3.03638 + 8.77306i −0.185477 + 0.535900i
\(269\) −20.9506 2.00054i −1.27738 0.121975i −0.565778 0.824557i \(-0.691424\pi\)
−0.711602 + 0.702582i \(0.752030\pi\)
\(270\) −0.342771 7.19565i −0.0208604 0.437913i
\(271\) −4.83469 + 1.93552i −0.293686 + 0.117574i −0.513827 0.857894i \(-0.671773\pi\)
0.220141 + 0.975468i \(0.429348\pi\)
\(272\) 4.54932 + 2.92367i 0.275843 + 0.177273i
\(273\) 0.363323 + 1.43594i 0.0219893 + 0.0869073i
\(274\) −44.8451 13.1677i −2.70919 0.795490i
\(275\) −15.0258 26.0255i −0.906091 1.56940i
\(276\) 7.68306 6.76881i 0.462466 0.407434i
\(277\) −11.1571 + 19.3246i −0.670364 + 1.16111i 0.307436 + 0.951569i \(0.400529\pi\)
−0.977801 + 0.209537i \(0.932804\pi\)
\(278\) 8.05728 + 33.2125i 0.483243 + 1.99196i
\(279\) −2.99781 + 3.45966i −0.179474 + 0.207124i
\(280\) −0.341334 + 2.55167i −0.0203986 + 0.152491i
\(281\) 1.27691 8.88110i 0.0761740 0.529802i −0.915629 0.402025i \(-0.868307\pi\)
0.991803 0.127777i \(-0.0407843\pi\)
\(282\) −16.1266 8.31382i −0.960322 0.495081i
\(283\) −10.1301 0.967308i −0.602173 0.0575005i −0.210482 0.977598i \(-0.567503\pi\)
−0.391690 + 0.920097i \(0.628110\pi\)
\(284\) −12.4759 + 2.40454i −0.740311 + 0.142683i
\(285\) −12.8221 + 10.0834i −0.759516 + 0.597290i
\(286\) 1.88240 4.12189i 0.111309 0.243732i
\(287\) −13.0034 + 2.63890i −0.767569 + 0.155769i
\(288\) −7.76887 + 2.28115i −0.457785 + 0.134418i
\(289\) 14.8098 1.41417i 0.871166 0.0831862i
\(290\) 44.9005 + 17.9754i 2.63665 + 1.05555i
\(291\) −5.71475 + 1.10143i −0.335005 + 0.0645669i
\(292\) 1.29248 1.81503i 0.0756364 0.106217i
\(293\) −8.62602 + 5.54361i −0.503938 + 0.323861i −0.767790 0.640702i \(-0.778643\pi\)
0.263852 + 0.964563i \(0.415007\pi\)
\(294\) 4.39055 13.5404i 0.256062 0.789690i
\(295\) −1.96447 1.26249i −0.114376 0.0735048i
\(296\) −2.12834 0.410203i −0.123707 0.0238426i
\(297\) 2.88075 2.74679i 0.167158 0.159385i
\(298\) −13.8397 + 23.9711i −0.801713 + 1.38861i
\(299\) 2.33615 + 1.32328i 0.135103 + 0.0765275i
\(300\) 16.1196 0.930667
\(301\) −1.78642 0.694901i −0.102968 0.0400534i
\(302\) 23.8092 27.4773i 1.37007 1.58114i
\(303\) −0.528786 + 11.1006i −0.0303780 + 0.637712i
\(304\) 13.4339 + 10.5645i 0.770486 + 0.605917i
\(305\) −0.197744 4.15116i −0.0113228 0.237695i
\(306\) 1.71858 2.41340i 0.0982445 0.137965i
\(307\) −21.0712 24.3174i −1.20260 1.38787i −0.900650 0.434545i \(-0.856909\pi\)
−0.301946 0.953325i \(-0.597636\pi\)
\(308\) −18.7951 + 12.3413i −1.07095 + 0.703212i
\(309\) 6.07598 13.3045i 0.345650 0.756868i
\(310\) −23.8669 22.7571i −1.35555 1.29251i
\(311\) 3.34322 13.7810i 0.189577 0.781447i −0.795017 0.606588i \(-0.792538\pi\)
0.984594 0.174859i \(-0.0559469\pi\)
\(312\) 0.0891948 + 0.125257i 0.00504966 + 0.00709126i
\(313\) −11.7141 + 9.21210i −0.662122 + 0.520698i −0.891720 0.452587i \(-0.850501\pi\)
0.229598 + 0.973285i \(0.426259\pi\)
\(314\) 32.5158 + 37.5252i 1.83497 + 2.11767i
\(315\) −9.22040 1.68335i −0.519511 0.0948462i
\(316\) −11.5374 + 7.41466i −0.649031 + 0.417107i
\(317\) 29.2144 11.6957i 1.64085 0.656896i 0.646484 0.762928i \(-0.276239\pi\)
0.994363 + 0.106032i \(0.0338147\pi\)
\(318\) −15.4024 + 7.94047i −0.863721 + 0.445279i
\(319\) 8.74043 + 25.2538i 0.489370 + 1.41394i
\(320\) −7.55153 31.1278i −0.422143 1.74010i
\(321\) 12.1432 0.677770
\(322\) −12.2350 22.7168i −0.681831 1.26596i
\(323\) −6.70879 −0.373287
\(324\) 0.503362 + 2.07489i 0.0279646 + 0.115272i
\(325\) 1.38243 + 3.99427i 0.0766835 + 0.221562i
\(326\) 3.81268 1.96557i 0.211165 0.108863i
\(327\) 6.71466 2.68815i 0.371322 0.148655i
\(328\) −1.15879 + 0.744711i −0.0639836 + 0.0411198i
\(329\) −15.2829 + 17.9914i −0.842573 + 0.991897i
\(330\) 18.7775 + 21.6703i 1.03367 + 1.19291i
\(331\) −17.2356 + 13.5542i −0.947352 + 0.745006i −0.966993 0.254801i \(-0.917990\pi\)
0.0196413 + 0.999807i \(0.493748\pi\)
\(332\) 4.34562 + 6.10257i 0.238497 + 0.334922i
\(333\) 1.86047 7.66896i 0.101953 0.420256i
\(334\) 11.4079 + 10.8774i 0.624212 + 0.595185i
\(335\) 6.39895 14.0118i 0.349612 0.765544i
\(336\) 0.563553 + 9.80382i 0.0307443 + 0.534842i
\(337\) 6.26155 + 7.22621i 0.341088 + 0.393637i 0.900215 0.435445i \(-0.143409\pi\)
−0.559127 + 0.829082i \(0.688864\pi\)
\(338\) 14.9643 21.0144i 0.813951 1.14303i
\(339\) −0.849926 17.8421i −0.0461617 0.969052i
\(340\) 8.66247 + 6.81224i 0.469788 + 0.369445i
\(341\) 0.867008 18.2007i 0.0469511 0.985626i
\(342\) 6.13165 7.07631i 0.331562 0.382643i
\(343\) −15.8684 9.54954i −0.856813 0.515627i
\(344\) −0.198993 −0.0107290
\(345\) −13.7579 + 9.96842i −0.740699 + 0.536681i
\(346\) 23.8717 41.3470i 1.28335 2.22283i
\(347\) −14.4725 + 13.7995i −0.776922 + 0.740794i −0.970711 0.240249i \(-0.922771\pi\)
0.193789 + 0.981043i \(0.437922\pi\)
\(348\) −14.0754 2.71281i −0.754522 0.145422i
\(349\) −2.68749 1.72714i −0.143858 0.0924518i 0.466732 0.884399i \(-0.345431\pi\)
−0.610590 + 0.791947i \(0.709068\pi\)
\(350\) 9.18828 39.5665i 0.491134 2.11492i
\(351\) −0.470967 + 0.302672i −0.0251383 + 0.0161554i
\(352\) 18.6944 26.2527i 0.996418 1.39927i
\(353\) 0.943964 0.181934i 0.0502421 0.00968338i −0.164068 0.986449i \(-0.552462\pi\)
0.214310 + 0.976766i \(0.431250\pi\)
\(354\) 1.24440 + 0.498181i 0.0661389 + 0.0264780i
\(355\) 20.9860 2.00392i 1.11382 0.106357i
\(356\) 28.0696 8.24199i 1.48769 0.436825i
\(357\) −2.55287 2.88836i −0.135112 0.152868i
\(358\) −13.8171 + 30.2553i −0.730258 + 1.59904i
\(359\) −27.9069 + 21.9462i −1.47287 + 1.15828i −0.520290 + 0.853989i \(0.674176\pi\)
−0.952580 + 0.304289i \(0.901581\pi\)
\(360\) −0.955446 + 0.184147i −0.0503564 + 0.00970541i
\(361\) −2.19191 0.209302i −0.115364 0.0110159i
\(362\) 26.8413 + 13.8377i 1.41075 + 0.727292i
\(363\) −0.689306 + 4.79423i −0.0361792 + 0.251632i
\(364\) 2.92424 1.20414i 0.153272 0.0631141i
\(365\) −2.42108 + 2.79407i −0.126725 + 0.146248i
\(366\) 0.562407 + 2.31827i 0.0293975 + 0.121178i
\(367\) 14.0335 24.3068i 0.732543 1.26880i −0.223249 0.974761i \(-0.571666\pi\)
0.955793 0.294041i \(-0.0950003\pi\)
\(368\) 13.5479 + 11.5457i 0.706235 + 0.601861i
\(369\) −2.50751 4.34314i −0.130536 0.226095i
\(370\) 54.5454 + 16.0160i 2.83568 + 0.832631i
\(371\) 5.53037 + 21.8574i 0.287122 + 1.13478i
\(372\) 8.22233 + 5.28417i 0.426308 + 0.273971i
\(373\) 6.16154 2.46671i 0.319033 0.127721i −0.206619 0.978422i \(-0.566246\pi\)
0.525651 + 0.850700i \(0.323822\pi\)
\(374\) 0.561133 + 11.7796i 0.0290155 + 0.609111i
\(375\) −8.99241 0.858671i −0.464366 0.0443416i
\(376\) −0.801535 + 2.31588i −0.0413360 + 0.119433i
\(377\) −0.534912 3.72039i −0.0275494 0.191610i
\(378\) 5.37984 0.0528314i 0.276709 0.00271735i
\(379\) 5.04490 1.48132i 0.259139 0.0760902i −0.149582 0.988749i \(-0.547793\pi\)
0.408722 + 0.912659i \(0.365975\pi\)
\(380\) 25.2057 + 24.0336i 1.29303 + 1.23290i
\(381\) −7.39085 10.3790i −0.378645 0.531732i
\(382\) −29.8177 11.9372i −1.52561 0.610761i
\(383\) −2.71792 + 7.85292i −0.138879 + 0.401265i −0.992897 0.118979i \(-0.962038\pi\)
0.854017 + 0.520244i \(0.174159\pi\)
\(384\) 0.910723 + 1.99421i 0.0464752 + 0.101766i
\(385\) 32.9907 17.4201i 1.68136 0.887808i
\(386\) −0.512306 + 3.56316i −0.0260757 + 0.181360i
\(387\) 0.0344726 0.723669i 0.00175234 0.0367861i
\(388\) 4.06413 + 11.7425i 0.206325 + 0.596137i
\(389\) 16.1797 15.4274i 0.820346 0.782198i −0.158378 0.987378i \(-0.550627\pi\)
0.978724 + 0.205180i \(0.0657781\pi\)
\(390\) −2.01649 3.49266i −0.102109 0.176858i
\(391\) −6.98206 0.275081i −0.353098 0.0139115i
\(392\) −1.89470 0.326721i −0.0956969 0.0165019i
\(393\) −14.4303 4.23711i −0.727911 0.213734i
\(394\) 52.2452 + 10.0694i 2.63208 + 0.507291i
\(395\) 20.2261 10.4273i 1.01768 0.524653i
\(396\) −6.68021 5.25338i −0.335693 0.263992i
\(397\) 5.17141 + 2.66605i 0.259546 + 0.133805i 0.583089 0.812408i \(-0.301844\pi\)
−0.323543 + 0.946213i \(0.604874\pi\)
\(398\) 0.157706 + 0.345328i 0.00790509 + 0.0173097i
\(399\) −7.16365 9.85370i −0.358631 0.493302i
\(400\) 3.98800 + 27.7371i 0.199400 + 1.38686i
\(401\) −9.35738 + 0.893521i −0.467285 + 0.0446203i −0.326043 0.945355i \(-0.605716\pi\)
−0.141242 + 0.989975i \(0.545109\pi\)
\(402\) −2.08457 + 8.59271i −0.103969 + 0.428565i
\(403\) −0.604208 + 2.49058i −0.0300978 + 0.124065i
\(404\) 23.6200 2.25544i 1.17514 0.112212i
\(405\) −0.504163 3.50653i −0.0250520 0.174241i
\(406\) −14.6818 + 33.0026i −0.728647 + 1.63789i
\(407\) 13.0486 + 28.5724i 0.646793 + 1.41628i
\(408\) −0.355700 0.183376i −0.0176098 0.00907847i
\(409\) −10.9598 8.61890i −0.541928 0.426177i 0.309306 0.950962i \(-0.399903\pi\)
−0.851235 + 0.524785i \(0.824146\pi\)
\(410\) 32.1112 16.5545i 1.58586 0.817567i
\(411\) −22.5690 4.34981i −1.11325 0.214560i
\(412\) −29.9632 8.79799i −1.47618 0.433446i
\(413\) 0.997620 1.43048i 0.0490897 0.0703896i
\(414\) 6.67157 7.11314i 0.327890 0.349592i
\(415\) −6.21526 10.7651i −0.305095 0.528440i
\(416\) −3.28064 + 3.12808i −0.160847 + 0.153367i
\(417\) 5.49688 + 15.8822i 0.269184 + 0.777755i
\(418\) −1.77336 + 37.2274i −0.0867378 + 1.82085i
\(419\) −0.956137 + 6.65008i −0.0467104 + 0.324878i 0.953046 + 0.302824i \(0.0979295\pi\)
−0.999757 + 0.0220535i \(0.992980\pi\)
\(420\) −0.755858 + 19.9973i −0.0368821 + 0.975770i
\(421\) 8.98692 + 19.6786i 0.437996 + 0.959077i 0.991962 + 0.126538i \(0.0403864\pi\)
−0.553966 + 0.832539i \(0.686886\pi\)
\(422\) −3.41985 + 9.88100i −0.166476 + 0.481000i
\(423\) −8.28321 3.31610i −0.402744 0.161234i
\(424\) 1.35769 + 1.90661i 0.0659353 + 0.0925931i
\(425\) −7.96119 7.59098i −0.386174 0.368217i
\(426\) −11.6109 + 3.40925i −0.562548 + 0.165179i
\(427\) 3.10362 0.0304783i 0.150195 0.00147495i
\(428\) −3.68975 25.6628i −0.178351 1.24046i
\(429\) 0.728832 2.10582i 0.0351883 0.101670i
\(430\) 5.19545 + 0.496105i 0.250547 + 0.0239243i
\(431\) −1.28408 26.9561i −0.0618518 1.29843i −0.790042 0.613053i \(-0.789941\pi\)
0.728190 0.685375i \(-0.240362\pi\)
\(432\) −3.44574 + 1.37947i −0.165783 + 0.0663696i
\(433\) 26.7014 + 17.1599i 1.28319 + 0.824654i 0.991277 0.131792i \(-0.0420732\pi\)
0.291909 + 0.956446i \(0.405710\pi\)
\(434\) 17.6571 17.1701i 0.847566 0.824193i
\(435\) 22.8208 + 6.70080i 1.09417 + 0.321279i
\(436\) −7.72123 13.3736i −0.369780 0.640478i
\(437\) −21.8830 2.96287i −1.04680 0.141733i
\(438\) 1.06109 1.83786i 0.0507007 0.0878162i
\(439\) 0.275838 + 1.13702i 0.0131650 + 0.0542670i 0.978015 0.208534i \(-0.0668690\pi\)
−0.964850 + 0.262801i \(0.915354\pi\)
\(440\) 2.53630 2.92705i 0.120914 0.139542i
\(441\) 1.51640 6.83378i 0.0722095 0.325418i
\(442\) 0.236054 1.64179i 0.0112280 0.0780921i
\(443\) −11.6344 5.99794i −0.552766 0.284971i 0.159128 0.987258i \(-0.449132\pi\)
−0.711893 + 0.702287i \(0.752162\pi\)
\(444\) −16.7724 1.60157i −0.795984 0.0760073i
\(445\) −47.6632 + 9.18633i −2.25945 + 0.435474i
\(446\) 18.7967 14.7819i 0.890048 0.699941i
\(447\) −5.65454 + 12.3817i −0.267451 + 0.585635i
\(448\) 23.4440 4.75769i 1.10762 0.224780i
\(449\) −24.7447 + 7.26569i −1.16777 + 0.342889i −0.807448 0.589938i \(-0.799152\pi\)
−0.360324 + 0.932827i \(0.617334\pi\)
\(450\) 15.2832 1.45936i 0.720455 0.0687951i
\(451\) 18.5319 + 7.41904i 0.872631 + 0.349349i
\(452\) −37.4483 + 7.21756i −1.76142 + 0.339486i
\(453\) 10.3711 14.5642i 0.487278 0.684286i
\(454\) −10.7023 + 6.87793i −0.502283 + 0.322797i
\(455\) −5.01995 + 1.52769i −0.235339 + 0.0716193i
\(456\) −1.06395 0.683757i −0.0498239 0.0320199i
\(457\) −12.1841 2.34829i −0.569947 0.109848i −0.103868 0.994591i \(-0.533122\pi\)
−0.466080 + 0.884743i \(0.654334\pi\)
\(458\) 28.9632 27.6163i 1.35336 1.29043i
\(459\) 0.728495 1.26179i 0.0340032 0.0588953i
\(460\) 25.2470 + 26.0461i 1.17715 + 1.21441i
\(461\) 9.77832 0.455422 0.227711 0.973729i \(-0.426876\pi\)
0.227711 + 0.973729i \(0.426876\pi\)
\(462\) −16.7025 + 13.4025i −0.777069 + 0.623540i
\(463\) −0.342783 + 0.395593i −0.0159305 + 0.0183848i −0.763659 0.645620i \(-0.776599\pi\)
0.747728 + 0.664005i \(0.231145\pi\)
\(464\) 1.18570 24.8908i 0.0550446 1.15553i
\(465\) −12.7476 10.0248i −0.591155 0.464889i
\(466\) −2.75950 57.9290i −0.127831 2.68351i
\(467\) 20.3691 28.6045i 0.942572 1.32366i −0.00360069 0.999994i \(-0.501146\pi\)
0.946172 0.323663i \(-0.104914\pi\)
\(468\) 0.782753 + 0.903345i 0.0361828 + 0.0417571i
\(469\) 10.2766 + 5.17085i 0.474529 + 0.238768i
\(470\) 26.7007 58.4664i 1.23161 2.69685i
\(471\) 17.6719 + 16.8501i 0.814277 + 0.776412i
\(472\) 0.0426846 0.175948i 0.00196472 0.00809868i
\(473\) 1.67274 + 2.34903i 0.0769127 + 0.108009i
\(474\) −10.2675 + 8.07442i −0.471600 + 0.370870i
\(475\) −22.7656 26.2729i −1.04456 1.20548i
\(476\) −5.32839 + 6.27271i −0.244226 + 0.287509i
\(477\) −7.16888 + 4.60716i −0.328240 + 0.210947i
\(478\) −30.3724 + 12.1593i −1.38920 + 0.556151i
\(479\) −5.66554 + 2.92079i −0.258865 + 0.133454i −0.582775 0.812634i \(-0.698033\pi\)
0.323910 + 0.946088i \(0.395003\pi\)
\(480\) −9.38155 27.1062i −0.428207 1.23722i
\(481\) −1.04156 4.29338i −0.0474912 0.195761i
\(482\) −58.3824 −2.65925
\(483\) −7.05142 10.5488i −0.320851 0.479988i
\(484\) 10.3413 0.470058
\(485\) −4.86078 20.0364i −0.220717 0.909807i
\(486\) 0.665089 + 1.92165i 0.0301690 + 0.0871677i
\(487\) −19.9929 + 10.3070i −0.905964 + 0.467057i −0.847236 0.531217i \(-0.821735\pi\)
−0.0587284 + 0.998274i \(0.518705\pi\)
\(488\) 0.299135 0.119755i 0.0135412 0.00542108i
\(489\) 1.77457 1.14045i 0.0802490 0.0515729i
\(490\) 48.6537 + 13.2539i 2.19795 + 0.598750i
\(491\) −0.845195 0.975407i −0.0381431 0.0440195i 0.736357 0.676593i \(-0.236544\pi\)
−0.774501 + 0.632573i \(0.781999\pi\)
\(492\) −8.41661 + 6.61890i −0.379450 + 0.298403i
\(493\) 5.67409 + 7.96814i 0.255548 + 0.358867i
\(494\) 1.23583 5.09418i 0.0556028 0.229198i
\(495\) 10.2053 + 9.73073i 0.458694 + 0.437364i
\(496\) −7.05830 + 15.4555i −0.316927 + 0.693974i
\(497\) 0.903552 + 15.7186i 0.0405298 + 0.705075i
\(498\) 4.67261 + 5.39248i 0.209385 + 0.241643i
\(499\) 7.75888 10.8958i 0.347335 0.487764i −0.603542 0.797331i \(-0.706245\pi\)
0.950878 + 0.309567i \(0.100184\pi\)
\(500\) 0.917701 + 19.2649i 0.0410409 + 0.861554i
\(501\) 6.09308 + 4.79165i 0.272219 + 0.214075i
\(502\) 0.621783 13.0528i 0.0277515 0.582576i
\(503\) 11.5839 13.3686i 0.516502 0.596075i −0.436250 0.899826i \(-0.643694\pi\)
0.952751 + 0.303751i \(0.0982391\pi\)
\(504\) −0.110479 0.718253i −0.00492110 0.0319935i
\(505\) −39.3694 −1.75192
\(506\) −3.37204 + 38.6711i −0.149905 + 1.71914i
\(507\) 6.34329 10.9869i 0.281715 0.487945i
\(508\) −19.6886 + 18.7731i −0.873541 + 0.832920i
\(509\) 8.37485 + 1.61412i 0.371209 + 0.0715446i 0.371444 0.928455i \(-0.378863\pi\)
−0.000235396 1.00000i \(0.500075\pi\)
\(510\) 8.82969 + 5.67450i 0.390985 + 0.251271i
\(511\) −2.01695 1.88569i −0.0892244 0.0834180i
\(512\) −26.9969 + 17.3499i −1.19311 + 0.766763i
\(513\) 2.67090 3.75076i 0.117923 0.165600i
\(514\) 8.01519 1.54480i 0.353535 0.0681383i
\(515\) 48.1033 + 19.2576i 2.11968 + 0.848593i
\(516\) −1.53983 + 0.147036i −0.0677873 + 0.00647291i
\(517\) 34.0758 10.0056i 1.49865 0.440044i
\(518\) −13.4915 + 40.2559i −0.592784 + 1.76874i
\(519\) 9.75336 21.3569i 0.428125 0.937463i
\(520\) −0.428195 + 0.336736i −0.0187776 + 0.0147669i
\(521\) −13.1218 + 2.52901i −0.574875 + 0.110798i −0.468399 0.883517i \(-0.655169\pi\)
−0.106476 + 0.994315i \(0.533957\pi\)
\(522\) −13.5906 1.29775i −0.594846 0.0568009i
\(523\) −25.8762 13.3401i −1.13149 0.583321i −0.212323 0.977200i \(-0.568103\pi\)
−0.919163 + 0.393878i \(0.871133\pi\)
\(524\) −4.56978 + 31.7835i −0.199632 + 1.38847i
\(525\) 2.64848 19.7989i 0.115589 0.864093i
\(526\) 16.0485 18.5209i 0.699747 0.807551i
\(527\) −1.57246 6.48178i −0.0684975 0.282351i
\(528\) 7.38684 12.7944i 0.321471 0.556804i
\(529\) −22.6529 3.98083i −0.984908 0.173080i
\(530\) −30.6942 53.1639i −1.33327 2.30929i
\(531\) 0.632469 + 0.185710i 0.0274468 + 0.00805911i
\(532\) −18.6475 + 18.1333i −0.808472 + 0.786178i
\(533\) −2.36191 1.51791i −0.102306 0.0657478i
\(534\) 25.8669 10.3555i 1.11937 0.448128i
\(535\) 2.04690 + 42.9698i 0.0884953 + 1.85774i
\(536\) 1.18889 + 0.113525i 0.0513522 + 0.00490354i
\(537\) −5.34973 + 15.4570i −0.230858 + 0.667020i
\(538\) 6.09059 + 42.3610i 0.262584 + 1.82631i
\(539\) 12.0701 + 25.1127i 0.519896 + 1.08168i
\(540\) −7.25729 + 2.13093i −0.312304 + 0.0917008i
\(541\) −19.4043 18.5020i −0.834256 0.795462i 0.146804 0.989166i \(-0.453101\pi\)
−0.981060 + 0.193704i \(0.937950\pi\)
\(542\) 6.14272 + 8.62624i 0.263852 + 0.370529i
\(543\) 13.7867 + 5.51937i 0.591645 + 0.236859i
\(544\) 3.85843 11.1482i 0.165429 0.477975i
\(545\) 10.6440 + 23.3072i 0.455941 + 0.998371i
\(546\) 2.66348 1.40640i 0.113987 0.0601882i
\(547\) −3.42516 + 23.8225i −0.146449 + 1.01858i 0.775523 + 0.631319i \(0.217486\pi\)
−0.921972 + 0.387256i \(0.873423\pi\)
\(548\) −2.33500 + 49.0176i −0.0997461 + 2.09393i
\(549\) 0.383689 + 1.10860i 0.0163754 + 0.0473137i
\(550\) −44.2271 + 42.1705i −1.88585 + 1.79816i
\(551\) 15.4570 + 26.7724i 0.658492 + 1.14054i
\(552\) −1.07925 0.755235i −0.0459359 0.0321449i
\(553\) 7.21140 + 15.3890i 0.306660 + 0.654408i
\(554\) 43.5376 + 12.7838i 1.84973 + 0.543131i
\(555\) 27.4508 + 5.29071i 1.16522 + 0.224578i
\(556\) 31.8942 16.4426i 1.35262 0.697323i
\(557\) −26.3805 20.7459i −1.11778 0.879030i −0.124209 0.992256i \(-0.539639\pi\)
−0.993569 + 0.113226i \(0.963882\pi\)
\(558\) 8.27405 + 4.26557i 0.350269 + 0.180576i
\(559\) −0.168491 0.368944i −0.00712642 0.0156047i
\(560\) −34.5965 + 3.64674i −1.46197 + 0.154103i
\(561\) 0.825340 + 5.74036i 0.0348459 + 0.242358i
\(562\) −18.1627 + 1.73433i −0.766148 + 0.0731582i
\(563\) −4.45219 + 18.3522i −0.187637 + 0.773452i 0.797731 + 0.603014i \(0.206034\pi\)
−0.985368 + 0.170438i \(0.945482\pi\)
\(564\) −4.49117 + 18.5128i −0.189112 + 0.779532i
\(565\) 62.9925 6.01505i 2.65011 0.253055i
\(566\) 2.94494 + 20.4825i 0.123785 + 0.860945i
\(567\) 2.63117 0.277346i 0.110499 0.0116474i
\(568\) 0.678999 + 1.48680i 0.0284901 + 0.0623847i
\(569\) 2.31344 + 1.19266i 0.0969846 + 0.0499990i 0.506036 0.862512i \(-0.331110\pi\)
−0.409052 + 0.912511i \(0.634140\pi\)
\(570\) 26.0736 + 20.5045i 1.09210 + 0.858839i
\(571\) 10.9084 5.62369i 0.456504 0.235344i −0.214608 0.976700i \(-0.568847\pi\)
0.671112 + 0.741356i \(0.265817\pi\)
\(572\) −4.67177 0.900410i −0.195337 0.0376480i
\(573\) −15.1549 4.44989i −0.633107 0.185897i
\(574\) 11.4489 + 24.4318i 0.477869 + 1.01977i
\(575\) −22.6156 28.2765i −0.943137 1.17921i
\(576\) 4.52081 + 7.83027i 0.188367 + 0.326261i
\(577\) 17.1865 16.3873i 0.715482 0.682211i −0.242139 0.970242i \(-0.577849\pi\)
0.957621 + 0.288031i \(0.0930006\pi\)
\(578\) −9.89464 28.5887i −0.411563 1.18913i
\(579\) −0.0842324 + 1.76826i −0.00350058 + 0.0734862i
\(580\) 7.22690 50.2642i 0.300081 2.08711i
\(581\) 8.20945 4.33483i 0.340585 0.179839i
\(582\) 4.91633 + 10.7653i 0.203789 + 0.446235i
\(583\) 11.0940 32.0540i 0.459467 1.32754i
\(584\) −0.266113 0.106535i −0.0110118 0.00440847i
\(585\) −1.15041 1.61553i −0.0475638 0.0667940i
\(586\) 15.0905 + 14.3888i 0.623384 + 0.594395i
\(587\) 13.4559 3.95100i 0.555383 0.163075i 0.00801630 0.999968i \(-0.497448\pi\)
0.547367 + 0.836893i \(0.315630\pi\)
\(588\) −14.9029 1.12821i −0.614584 0.0465265i
\(589\) −2.99980 20.8641i −0.123605 0.859690i
\(590\) −1.55309 + 4.48736i −0.0639398 + 0.184742i
\(591\) 26.0468 + 2.48717i 1.07142 + 0.102308i
\(592\) −1.39367 29.2567i −0.0572793 1.20244i
\(593\) −37.4755 + 15.0029i −1.53894 + 0.616097i −0.977408 0.211361i \(-0.932210\pi\)
−0.561528 + 0.827458i \(0.689786\pi\)
\(594\) −6.80917 4.37599i −0.279384 0.179549i
\(595\) 9.79036 9.52038i 0.401366 0.390297i
\(596\) 27.8849 + 8.18776i 1.14221 + 0.335384i
\(597\) 0.0933457 + 0.161680i 0.00382039 + 0.00661710i
\(598\) 1.49505 5.25101i 0.0611372 0.214730i
\(599\) −15.8794 + 27.5040i −0.648816 + 1.12378i 0.334590 + 0.942364i \(0.391402\pi\)
−0.983406 + 0.181418i \(0.941931\pi\)
\(600\) −0.488896 2.01526i −0.0199591 0.0822725i
\(601\) −15.5698 + 17.9686i −0.635107 + 0.732953i −0.978502 0.206238i \(-0.933878\pi\)
0.343395 + 0.939191i \(0.388423\pi\)
\(602\) −0.516806 + 3.86341i −0.0210634 + 0.157461i
\(603\) −0.618809 + 4.30391i −0.0251998 + 0.175269i
\(604\) −33.9304 17.4923i −1.38061 0.711753i
\(605\) −17.0809 1.63103i −0.694438 0.0663108i
\(606\) 22.1901 4.27680i 0.901412 0.173733i
\(607\) −12.8844 + 10.1324i −0.522963 + 0.411263i −0.844436 0.535656i \(-0.820064\pi\)
0.321473 + 0.946919i \(0.395822\pi\)
\(608\) 15.4877 33.9132i 0.628107 1.37536i
\(609\) −5.64461 + 16.8424i −0.228731 + 0.682487i
\(610\) −8.10858 + 2.38089i −0.328307 + 0.0963996i
\(611\) −4.97246 + 0.474812i −0.201164 + 0.0192088i
\(612\) −2.88795 1.15616i −0.116738 0.0467350i
\(613\) 11.2784 2.17374i 0.455532 0.0877966i 0.0436763 0.999046i \(-0.486093\pi\)
0.411855 + 0.911249i \(0.364881\pi\)
\(614\) −37.9535 + 53.2983i −1.53168 + 2.15094i
\(615\) 14.9458 9.60511i 0.602674 0.387315i
\(616\) 2.11294 + 1.97543i 0.0851327 + 0.0795925i
\(617\) −12.3354 7.92749i −0.496605 0.319149i 0.268252 0.963349i \(-0.413554\pi\)
−0.764857 + 0.644200i \(0.777190\pi\)
\(618\) −29.2049 5.62878i −1.17479 0.226423i
\(619\) −21.6600 + 20.6528i −0.870588 + 0.830104i −0.986602 0.163143i \(-0.947837\pi\)
0.116014 + 0.993248i \(0.462988\pi\)
\(620\) −17.3124 + 29.9860i −0.695284 + 1.20427i
\(621\) 2.93349 3.79403i 0.117717 0.152249i
\(622\) −28.8363 −1.15623
\(623\) −5.51131 35.8306i −0.220806 1.43552i
\(624\) −1.36074 + 1.57038i −0.0544731 + 0.0628654i
\(625\) −0.273515 + 5.74180i −0.0109406 + 0.229672i
\(626\) 23.8205 + 18.7327i 0.952060 + 0.748709i
\(627\) 0.872078 + 18.3072i 0.0348274 + 0.731118i
\(628\) 30.2404 42.4666i 1.20672 1.69460i
\(629\) 7.52939 + 8.68938i 0.300217 + 0.346468i
\(630\) 1.09379 + 19.0281i 0.0435777 + 0.758096i
\(631\) −5.98115 + 13.0969i −0.238106 + 0.521379i −0.990529 0.137301i \(-0.956157\pi\)
0.752424 + 0.658679i \(0.228885\pi\)
\(632\) 1.27689 + 1.21752i 0.0507921 + 0.0484302i
\(633\) −1.21226 + 4.99700i −0.0481830 + 0.198613i
\(634\) −37.1184 52.1255i −1.47416 2.07017i
\(635\) 35.4810 27.9026i 1.40802 1.10728i
\(636\) 11.9148 + 13.7504i 0.472451 + 0.545238i
\(637\) −0.998523 3.78953i −0.0395629 0.150147i
\(638\) 45.7155 29.3796i 1.80989 1.16315i
\(639\) −5.52460 + 2.21172i −0.218550 + 0.0874942i
\(640\) −6.90313 + 3.55881i −0.272870 + 0.140674i
\(641\) −4.20383 12.1462i −0.166041 0.479745i 0.831030 0.556228i \(-0.187752\pi\)
−0.997071 + 0.0764836i \(0.975631\pi\)
\(642\) −5.82163 23.9971i −0.229761 0.947089i
\(643\) −20.1183 −0.793387 −0.396693 0.917951i \(-0.629842\pi\)
−0.396693 + 0.917951i \(0.629842\pi\)
\(644\) −20.1506 + 18.1073i −0.794046 + 0.713529i
\(645\) 2.56657 0.101058
\(646\) 3.21628 + 13.2577i 0.126543 + 0.521616i
\(647\) 8.51397 + 24.5995i 0.334719 + 0.967106i 0.979272 + 0.202547i \(0.0649220\pi\)
−0.644554 + 0.764559i \(0.722957\pi\)
\(648\) 0.244133 0.125860i 0.00959047 0.00494423i
\(649\) −2.43581 + 0.975151i −0.0956139 + 0.0382780i
\(650\) 7.23059 4.64682i 0.283607 0.182263i
\(651\) 7.84120 9.23084i 0.307321 0.361785i
\(652\) −2.94937 3.40375i −0.115506 0.133301i
\(653\) −1.87457 + 1.47418i −0.0733577 + 0.0576892i −0.654165 0.756352i \(-0.726980\pi\)
0.580807 + 0.814041i \(0.302737\pi\)
\(654\) −8.53132 11.9806i −0.333601 0.468477i
\(655\) 12.5609 51.7768i 0.490796 2.02309i
\(656\) −13.4715 12.8450i −0.525972 0.501513i
\(657\) 0.433532 0.949304i 0.0169137 0.0370359i
\(658\) 42.8808 + 21.5763i 1.67167 + 0.841130i
\(659\) 26.2078 + 30.2454i 1.02091 + 1.17819i 0.983871 + 0.178881i \(0.0572478\pi\)
0.0370410 + 0.999314i \(0.488207\pi\)
\(660\) 17.4634 24.5240i 0.679763 0.954594i
\(661\) 0.590255 + 12.3910i 0.0229583 + 0.481953i 0.980843 + 0.194800i \(0.0624058\pi\)
−0.957885 + 0.287153i \(0.907291\pi\)
\(662\) 35.0483 + 27.5623i 1.36219 + 1.07124i
\(663\) 0.0388116 0.814756i 0.00150732 0.0316425i
\(664\) 0.631137 0.728371i 0.0244929 0.0282663i
\(665\) 33.6605 27.0101i 1.30530 1.04741i
\(666\) −16.0471 −0.621812
\(667\) 14.9889 + 28.4967i 0.580373 + 1.10340i
\(668\) 8.27499 14.3327i 0.320169 0.554549i
\(669\) 8.51072 8.11495i 0.329043 0.313742i
\(670\) −30.7573 5.92798i −1.18826 0.229018i
\(671\) −3.92820 2.52450i −0.151647 0.0974573i
\(672\) 20.4942 6.23690i 0.790583 0.240593i
\(673\) 12.7162 8.17219i 0.490172 0.315015i −0.272102 0.962268i \(-0.587719\pi\)
0.762275 + 0.647254i \(0.224083\pi\)
\(674\) 11.2783 15.8382i 0.434425 0.610065i
\(675\) 7.41348 1.42883i 0.285345 0.0549958i
\(676\) −25.1465 10.0671i −0.967172 0.387197i
\(677\) −26.0510 + 2.48757i −1.00122 + 0.0956051i −0.582773 0.812635i \(-0.698032\pi\)
−0.418449 + 0.908240i \(0.637426\pi\)
\(678\) −34.8516 + 10.2334i −1.33847 + 0.393009i
\(679\) 15.0905 3.06244i 0.579119 0.117526i
\(680\) 0.588932 1.28958i 0.0225845 0.0494532i
\(681\) −4.91767 + 3.86730i −0.188446 + 0.148195i
\(682\) −36.3834 + 7.01232i −1.39319 + 0.268516i
\(683\) −33.5292 3.20165i −1.28296 0.122508i −0.568790 0.822483i \(-0.692588\pi\)
−0.714167 + 0.699975i \(0.753195\pi\)
\(684\) −8.73818 4.50485i −0.334113 0.172247i
\(685\) 11.5878 80.5952i 0.442748 3.07938i
\(686\) −11.2640 + 35.9368i −0.430060 + 1.37207i
\(687\) 12.8877 14.8732i 0.491695 0.567446i
\(688\) −0.633961 2.61322i −0.0241695 0.0996282i
\(689\) −2.38538 + 4.13160i −0.0908757 + 0.157401i
\(690\) 26.2949 + 22.4088i 1.00103 + 0.853090i
\(691\) −21.9081 37.9459i −0.833423 1.44353i −0.895308 0.445447i \(-0.853045\pi\)
0.0618852 0.998083i \(-0.480289\pi\)
\(692\) −48.0979 14.1228i −1.82841 0.536869i
\(693\) −7.55001 + 7.34181i −0.286801 + 0.278892i
\(694\) 34.2083 + 21.9843i 1.29853 + 0.834514i
\(695\) −55.2738 + 22.1283i −2.09665 + 0.839374i
\(696\) 0.0877439 + 1.84197i 0.00332592 + 0.0698197i
\(697\) 7.27375 + 0.694559i 0.275513 + 0.0263083i
\(698\) −2.12471 + 6.13894i −0.0804213 + 0.232362i
\(699\) −4.05879 28.2295i −0.153518 1.06774i
\(700\) −42.6465 + 0.418799i −1.61188 + 0.0158291i
\(701\) −32.6924 + 9.59934i −1.23477 + 0.362562i −0.833049 0.553199i \(-0.813407\pi\)
−0.401724 + 0.915761i \(0.631589\pi\)
\(702\) 0.823918 + 0.785604i 0.0310968 + 0.0296507i
\(703\) 21.0772 + 29.5987i 0.794940 + 1.11634i
\(704\) −33.4112 13.3758i −1.25923 0.504121i
\(705\) 10.3380 29.8697i 0.389352 1.12496i
\(706\) −0.812081 1.77821i −0.0305631 0.0669238i
\(707\) 1.11057 29.3817i 0.0417672 1.10501i
\(708\) 0.200290 1.39305i 0.00752737 0.0523540i
\(709\) 0.298985 6.27647i 0.0112286 0.235718i −0.986275 0.165109i \(-0.947203\pi\)
0.997504 0.0706094i \(-0.0224944\pi\)
\(710\) −14.0211 40.5112i −0.526201 1.52036i
\(711\) −4.64888 + 4.43270i −0.174347 + 0.166239i
\(712\) −1.88174 3.25926i −0.0705210 0.122146i
\(713\) −2.26651 21.8370i −0.0848813 0.817801i
\(714\) −4.48400 + 6.42961i −0.167810 + 0.240622i
\(715\) 7.57446 + 2.22406i 0.283269 + 0.0831752i
\(716\) 34.2915 + 6.60914i 1.28153 + 0.246995i
\(717\) −14.3001 + 7.37220i −0.534046 + 0.275320i
\(718\) 56.7484 + 44.6274i 2.11783 + 1.66548i
\(719\) −41.7901 21.5443i −1.55851 0.803466i −0.558840 0.829275i \(-0.688754\pi\)
−0.999667 + 0.0258090i \(0.991784\pi\)
\(720\) −5.46217 11.9605i −0.203563 0.445741i
\(721\) −15.7291 + 35.3566i −0.585782 + 1.31675i
\(722\) 0.637215 + 4.43193i 0.0237147 + 0.164939i
\(723\) −28.5805 + 2.72910i −1.06292 + 0.101496i
\(724\) 7.47518 30.8131i 0.277813 1.14516i
\(725\) −11.9503 + 49.2599i −0.443824 + 1.82947i
\(726\) 9.80466 0.936231i 0.363885 0.0347468i
\(727\) −3.41819 23.7740i −0.126774 0.881730i −0.949606 0.313446i \(-0.898517\pi\)
0.822832 0.568284i \(-0.192393\pi\)
\(728\) −0.239230 0.329065i −0.00886646 0.0121959i
\(729\) 0.415415 + 0.909632i 0.0153857 + 0.0336901i
\(730\) 6.68225 + 3.44494i 0.247321 + 0.127503i
\(731\) 0.829737 + 0.652512i 0.0306889 + 0.0241340i
\(732\) 2.22625 1.14771i 0.0822847 0.0424207i
\(733\) −31.2048 6.01423i −1.15258 0.222141i −0.423058 0.906103i \(-0.639043\pi\)
−0.729518 + 0.683962i \(0.760255\pi\)
\(734\) −54.7621 16.0796i −2.02130 0.593509i
\(735\) 24.4374 + 4.21397i 0.901389 + 0.155435i
\(736\) 17.5091 34.6596i 0.645393 1.27757i
\(737\) −8.65371 14.9887i −0.318763 0.552115i
\(738\) −7.38063 + 7.03742i −0.271685 + 0.259051i
\(739\) −7.27936 21.0323i −0.267776 0.773687i −0.996082 0.0884349i \(-0.971813\pi\)
0.728306 0.685252i \(-0.240308\pi\)
\(740\) 2.84007 59.6204i 0.104403 2.19169i
\(741\) 0.366860 2.55157i 0.0134769 0.0937342i
\(742\) 40.5425 21.4077i 1.48836 0.785900i
\(743\) −7.56190 16.5583i −0.277419 0.607463i 0.718715 0.695305i \(-0.244730\pi\)
−0.996134 + 0.0878411i \(0.972003\pi\)
\(744\) 0.411244 1.18821i 0.0150769 0.0435619i
\(745\) −44.7668 17.9219i −1.64013 0.656608i
\(746\) −7.82855 10.9937i −0.286624 0.402507i
\(747\) 2.53950 + 2.42141i 0.0929154 + 0.0885946i
\(748\) 11.8806 3.48845i 0.434396 0.127550i
\(749\) −32.1264 + 0.315490i −1.17387 + 0.0115277i
\(750\) 2.61420 + 18.1822i 0.0954571 + 0.663919i
\(751\) −5.43384 + 15.7001i −0.198284 + 0.572903i −0.999682 0.0252284i \(-0.991969\pi\)
0.801398 + 0.598131i \(0.204090\pi\)
\(752\) −32.9663 3.14790i −1.20216 0.114792i
\(753\) −0.305772 6.41894i −0.0111429 0.233919i
\(754\) −7.09568 + 2.84068i −0.258409 + 0.103451i
\(755\) 53.2847 + 34.2440i 1.93923 + 1.24627i
\(756\) −1.38561 5.47629i −0.0503943 0.199171i
\(757\) 40.2103 + 11.8068i 1.46147 + 0.429126i 0.913316 0.407251i \(-0.133513\pi\)
0.548154 + 0.836378i \(0.315331\pi\)
\(758\) −5.34592 9.25941i −0.194173 0.336317i
\(759\) 0.156950 + 19.0886i 0.00569692 + 0.692874i
\(760\) 2.24018 3.88011i 0.0812600 0.140746i
\(761\) −7.38141 30.4266i −0.267576 1.10296i −0.933967 0.357360i \(-0.883677\pi\)
0.666391 0.745603i \(-0.267838\pi\)
\(762\) −16.9674 + 19.5814i −0.614662 + 0.709358i
\(763\) −17.6946 + 7.28627i −0.640589 + 0.263781i
\(764\) −4.79927 + 33.3797i −0.173632 + 1.20763i
\(765\) 4.58774 + 2.36514i 0.165870 + 0.0855119i
\(766\) 16.8217 + 1.60628i 0.607792 + 0.0580371i
\(767\) 0.362360 0.0698392i 0.0130841 0.00252175i
\(768\) −10.7101 + 8.42253i −0.386468 + 0.303922i
\(769\) −4.47408 + 9.79686i −0.161339 + 0.353284i −0.972986 0.230865i \(-0.925844\pi\)
0.811646 + 0.584149i \(0.198572\pi\)
\(770\) −50.2411 56.8437i −1.81056 2.04851i
\(771\) 3.85154 1.13091i 0.138710 0.0407289i
\(772\) 3.76252 0.359277i 0.135416 0.0129307i