Properties

Label 120.2.w.c.53.1
Level $120$
Weight $2$
Character 120.53
Analytic conductor $0.958$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 120 = 2^{3} \cdot 3 \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 120.w (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.958204824255\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 53.1
Character \(\chi\) \(=\) 120.53
Dual form 120.2.w.c.77.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41107 - 0.0941764i) q^{2} +(0.416519 + 1.68122i) q^{3} +(1.98226 + 0.265780i) q^{4} +(-1.62104 + 1.54020i) q^{5} +(-0.429408 - 2.41156i) q^{6} +(-0.361989 + 0.361989i) q^{7} +(-2.77209 - 0.561717i) q^{8} +(-2.65302 + 1.40052i) q^{9} +O(q^{10})\) \(q+(-1.41107 - 0.0941764i) q^{2} +(0.416519 + 1.68122i) q^{3} +(1.98226 + 0.265780i) q^{4} +(-1.62104 + 1.54020i) q^{5} +(-0.429408 - 2.41156i) q^{6} +(-0.361989 + 0.361989i) q^{7} +(-2.77209 - 0.561717i) q^{8} +(-2.65302 + 1.40052i) q^{9} +(2.43246 - 2.02068i) q^{10} +2.63380 q^{11} +(0.378815 + 3.44333i) q^{12} +(-3.49376 + 3.49376i) q^{13} +(0.544885 - 0.476703i) q^{14} +(-3.26462 - 2.08380i) q^{15} +(3.85872 + 1.05369i) q^{16} +(3.61339 + 3.61339i) q^{17} +(3.87551 - 1.72639i) q^{18} +0.672266 q^{19} +(-3.62268 + 2.62225i) q^{20} +(-0.759360 - 0.457809i) q^{21} +(-3.71648 - 0.248041i) q^{22} +(4.31851 - 4.31851i) q^{23} +(-0.210256 - 4.89447i) q^{24} +(0.255538 - 4.99347i) q^{25} +(5.25899 - 4.60093i) q^{26} +(-3.45963 - 3.87698i) q^{27} +(-0.813767 + 0.621348i) q^{28} -4.76080i q^{29} +(4.41038 + 3.24785i) q^{30} +3.73793 q^{31} +(-5.34571 - 1.85024i) q^{32} +(1.09703 + 4.42800i) q^{33} +(-4.75847 - 5.43906i) q^{34} +(0.0292613 - 1.14434i) q^{35} +(-5.63122 + 2.07108i) q^{36} +(2.82150 + 2.82150i) q^{37} +(-0.948617 - 0.0633116i) q^{38} +(-7.32901 - 4.41857i) q^{39} +(5.35882 - 3.35902i) q^{40} +4.10027i q^{41} +(1.02840 + 0.717517i) q^{42} +(7.57996 - 7.57996i) q^{43} +(5.22087 + 0.700010i) q^{44} +(2.14356 - 6.35650i) q^{45} +(-6.50044 + 5.68704i) q^{46} +(0.987537 + 0.987537i) q^{47} +(-0.164257 + 6.92626i) q^{48} +6.73793i q^{49} +(-0.830850 + 7.02209i) q^{50} +(-4.56987 + 7.57996i) q^{51} +(-7.85412 + 5.99698i) q^{52} +(0.646149 + 0.646149i) q^{53} +(4.51667 + 5.79652i) q^{54} +(-4.26949 + 4.05659i) q^{55} +(1.20680 - 0.800131i) q^{56} +(0.280012 + 1.13023i) q^{57} +(-0.448355 + 6.71784i) q^{58} +4.92247i q^{59} +(-5.91750 - 4.99832i) q^{60} -6.07190i q^{61} +(-5.27449 - 0.352025i) q^{62} +(0.453392 - 1.46734i) q^{63} +(7.36895 + 3.11426i) q^{64} +(0.282417 - 11.0446i) q^{65} +(-1.13097 - 6.35155i) q^{66} +(0.349085 + 0.349085i) q^{67} +(6.20232 + 8.12305i) q^{68} +(9.05912 + 5.46164i) q^{69} +(-0.149059 + 1.61199i) q^{70} +8.63702i q^{71} +(8.14111 - 2.39213i) q^{72} +(-11.3261 - 11.3261i) q^{73} +(-3.71562 - 4.24706i) q^{74} +(8.50157 - 1.65026i) q^{75} +(1.33261 + 0.178675i) q^{76} +(-0.953406 + 0.953406i) q^{77} +(9.92565 + 6.92516i) q^{78} +4.07707i q^{79} +(-7.87804 + 4.23515i) q^{80} +(5.07707 - 7.43124i) q^{81} +(0.386149 - 5.78579i) q^{82} +(-8.53893 - 8.53893i) q^{83} +(-1.38357 - 1.10932i) q^{84} +(-11.4228 - 0.292087i) q^{85} +(-11.4097 + 9.98203i) q^{86} +(8.00397 - 1.98296i) q^{87} +(-7.30111 - 1.47945i) q^{88} -6.58584 q^{89} +(-3.62336 + 8.76763i) q^{90} -2.52941i q^{91} +(9.70819 - 7.41264i) q^{92} +(1.55692 + 6.28429i) q^{93} +(-1.30049 - 1.48649i) q^{94} +(-1.08977 + 1.03543i) q^{95} +(0.884069 - 9.75799i) q^{96} +(-0.660859 + 0.660859i) q^{97} +(0.634554 - 9.50772i) q^{98} +(-6.98752 + 3.68869i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q - 4 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 32 q - 4 q^{6} + 4 q^{10} - 8 q^{12} - 28 q^{15} + 28 q^{16} - 20 q^{18} - 52 q^{22} - 8 q^{25} + 12 q^{28} - 32 q^{30} - 32 q^{31} + 8 q^{33} - 20 q^{36} + 24 q^{40} + 16 q^{42} + 24 q^{46} + 44 q^{48} + 8 q^{52} + 8 q^{55} - 16 q^{57} + 28 q^{58} + 56 q^{60} + 48 q^{63} + 16 q^{66} + 20 q^{70} + 32 q^{72} - 64 q^{73} - 88 q^{76} + 64 q^{78} + 48 q^{81} + 64 q^{82} - 8 q^{87} - 52 q^{88} + 84 q^{90} - 52 q^{96} + 16 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/120\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(41\) \(61\) \(97\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41107 0.0941764i −0.997780 0.0665928i
\(3\) 0.416519 + 1.68122i 0.240477 + 0.970655i
\(4\) 1.98226 + 0.265780i 0.991131 + 0.132890i
\(5\) −1.62104 + 1.54020i −0.724951 + 0.688801i
\(6\) −0.429408 2.41156i −0.175305 0.984514i
\(7\) −0.361989 + 0.361989i −0.136819 + 0.136819i −0.772199 0.635380i \(-0.780843\pi\)
0.635380 + 0.772199i \(0.280843\pi\)
\(8\) −2.77209 0.561717i −0.980081 0.198597i
\(9\) −2.65302 + 1.40052i −0.884341 + 0.466841i
\(10\) 2.43246 2.02068i 0.769211 0.638995i
\(11\) 2.63380 0.794119 0.397060 0.917793i \(-0.370031\pi\)
0.397060 + 0.917793i \(0.370031\pi\)
\(12\) 0.378815 + 3.44333i 0.109354 + 0.994003i
\(13\) −3.49376 + 3.49376i −0.968995 + 0.968995i −0.999534 0.0305386i \(-0.990278\pi\)
0.0305386 + 0.999534i \(0.490278\pi\)
\(14\) 0.544885 0.476703i 0.145627 0.127404i
\(15\) −3.26462 2.08380i −0.842922 0.538036i
\(16\) 3.85872 + 1.05369i 0.964681 + 0.263423i
\(17\) 3.61339 + 3.61339i 0.876376 + 0.876376i 0.993158 0.116782i \(-0.0372578\pi\)
−0.116782 + 0.993158i \(0.537258\pi\)
\(18\) 3.87551 1.72639i 0.913466 0.406914i
\(19\) 0.672266 0.154228 0.0771142 0.997022i \(-0.475429\pi\)
0.0771142 + 0.997022i \(0.475429\pi\)
\(20\) −3.62268 + 2.62225i −0.810056 + 0.586353i
\(21\) −0.759360 0.457809i −0.165706 0.0999022i
\(22\) −3.71648 0.248041i −0.792357 0.0528826i
\(23\) 4.31851 4.31851i 0.900472 0.900472i −0.0950052 0.995477i \(-0.530287\pi\)
0.995477 + 0.0950052i \(0.0302868\pi\)
\(24\) −0.210256 4.89447i −0.0429182 0.999079i
\(25\) 0.255538 4.99347i 0.0511076 0.998693i
\(26\) 5.25899 4.60093i 1.03137 0.902316i
\(27\) −3.45963 3.87698i −0.665806 0.746125i
\(28\) −0.813767 + 0.621348i −0.153787 + 0.117424i
\(29\) 4.76080i 0.884058i −0.897001 0.442029i \(-0.854259\pi\)
0.897001 0.442029i \(-0.145741\pi\)
\(30\) 4.41038 + 3.24785i 0.805221 + 0.592974i
\(31\) 3.73793 0.671352 0.335676 0.941978i \(-0.391035\pi\)
0.335676 + 0.941978i \(0.391035\pi\)
\(32\) −5.34571 1.85024i −0.944997 0.327079i
\(33\) 1.09703 + 4.42800i 0.190968 + 0.770816i
\(34\) −4.75847 5.43906i −0.816070 0.932791i
\(35\) 0.0292613 1.14434i 0.00494606 0.193428i
\(36\) −5.63122 + 2.07108i −0.938536 + 0.345181i
\(37\) 2.82150 + 2.82150i 0.463851 + 0.463851i 0.899915 0.436064i \(-0.143628\pi\)
−0.436064 + 0.899915i \(0.643628\pi\)
\(38\) −0.948617 0.0633116i −0.153886 0.0102705i
\(39\) −7.32901 4.41857i −1.17358 0.707538i
\(40\) 5.35882 3.35902i 0.847305 0.531107i
\(41\) 4.10027i 0.640355i 0.947358 + 0.320177i \(0.103743\pi\)
−0.947358 + 0.320177i \(0.896257\pi\)
\(42\) 1.02840 + 0.717517i 0.158685 + 0.110715i
\(43\) 7.57996 7.57996i 1.15593 1.15593i 0.170591 0.985342i \(-0.445432\pi\)
0.985342 0.170591i \(-0.0545678\pi\)
\(44\) 5.22087 + 0.700010i 0.787076 + 0.105530i
\(45\) 2.14356 6.35650i 0.319544 0.947572i
\(46\) −6.50044 + 5.68704i −0.958438 + 0.838508i
\(47\) 0.987537 + 0.987537i 0.144047 + 0.144047i 0.775453 0.631406i \(-0.217522\pi\)
−0.631406 + 0.775453i \(0.717522\pi\)
\(48\) −0.164257 + 6.92626i −0.0237085 + 0.999719i
\(49\) 6.73793i 0.962561i
\(50\) −0.830850 + 7.02209i −0.117500 + 0.993073i
\(51\) −4.56987 + 7.57996i −0.639910 + 1.06141i
\(52\) −7.85412 + 5.99698i −1.08917 + 0.831631i
\(53\) 0.646149 + 0.646149i 0.0887554 + 0.0887554i 0.750091 0.661335i \(-0.230010\pi\)
−0.661335 + 0.750091i \(0.730010\pi\)
\(54\) 4.51667 + 5.79652i 0.614641 + 0.788807i
\(55\) −4.26949 + 4.05659i −0.575698 + 0.546990i
\(56\) 1.20680 0.800131i 0.161266 0.106922i
\(57\) 0.280012 + 1.13023i 0.0370884 + 0.149702i
\(58\) −0.448355 + 6.71784i −0.0588719 + 0.882096i
\(59\) 4.92247i 0.640851i 0.947274 + 0.320425i \(0.103826\pi\)
−0.947274 + 0.320425i \(0.896174\pi\)
\(60\) −5.91750 4.99832i −0.763946 0.645280i
\(61\) 6.07190i 0.777428i −0.921359 0.388714i \(-0.872919\pi\)
0.921359 0.388714i \(-0.127081\pi\)
\(62\) −5.27449 0.352025i −0.669861 0.0447072i
\(63\) 0.453392 1.46734i 0.0571220 0.184868i
\(64\) 7.36895 + 3.11426i 0.921118 + 0.389283i
\(65\) 0.282417 11.0446i 0.0350295 1.36992i
\(66\) −1.13097 6.35155i −0.139213 0.781822i
\(67\) 0.349085 + 0.349085i 0.0426476 + 0.0426476i 0.728109 0.685461i \(-0.240399\pi\)
−0.685461 + 0.728109i \(0.740399\pi\)
\(68\) 6.20232 + 8.12305i 0.752141 + 0.985064i
\(69\) 9.05912 + 5.46164i 1.09059 + 0.657504i
\(70\) −0.149059 + 1.61199i −0.0178160 + 0.192669i
\(71\) 8.63702i 1.02503i 0.858680 + 0.512513i \(0.171285\pi\)
−0.858680 + 0.512513i \(0.828715\pi\)
\(72\) 8.14111 2.39213i 0.959439 0.281915i
\(73\) −11.3261 11.3261i −1.32562 1.32562i −0.909152 0.416465i \(-0.863269\pi\)
−0.416465 0.909152i \(-0.636731\pi\)
\(74\) −3.71562 4.24706i −0.431932 0.493711i
\(75\) 8.50157 1.65026i 0.981676 0.190555i
\(76\) 1.33261 + 0.178675i 0.152860 + 0.0204954i
\(77\) −0.953406 + 0.953406i −0.108651 + 0.108651i
\(78\) 9.92565 + 6.92516i 1.12386 + 0.784120i
\(79\) 4.07707i 0.458706i 0.973343 + 0.229353i \(0.0736610\pi\)
−0.973343 + 0.229353i \(0.926339\pi\)
\(80\) −7.87804 + 4.23515i −0.880792 + 0.473504i
\(81\) 5.07707 7.43124i 0.564119 0.825694i
\(82\) 0.386149 5.78579i 0.0426430 0.638933i
\(83\) −8.53893 8.53893i −0.937270 0.937270i 0.0608758 0.998145i \(-0.480611\pi\)
−0.998145 + 0.0608758i \(0.980611\pi\)
\(84\) −1.38357 1.10932i −0.150960 0.121037i
\(85\) −11.4228 0.292087i −1.23898 0.0316813i
\(86\) −11.4097 + 9.98203i −1.23034 + 1.07639i
\(87\) 8.00397 1.98296i 0.858115 0.212596i
\(88\) −7.30111 1.47945i −0.778301 0.157710i
\(89\) −6.58584 −0.698097 −0.349049 0.937105i \(-0.613495\pi\)
−0.349049 + 0.937105i \(0.613495\pi\)
\(90\) −3.62336 + 8.76763i −0.381936 + 0.924189i
\(91\) 2.52941i 0.265154i
\(92\) 9.70819 7.41264i 1.01215 0.772822i
\(93\) 1.55692 + 6.28429i 0.161445 + 0.651651i
\(94\) −1.30049 1.48649i −0.134135 0.153320i
\(95\) −1.08977 + 1.03543i −0.111808 + 0.106233i
\(96\) 0.884069 9.75799i 0.0902299 0.995921i
\(97\) −0.660859 + 0.660859i −0.0671001 + 0.0671001i −0.739860 0.672760i \(-0.765108\pi\)
0.672760 + 0.739860i \(0.265108\pi\)
\(98\) 0.634554 9.50772i 0.0640996 0.960424i
\(99\) −6.98752 + 3.68869i −0.702272 + 0.370728i
\(100\) 1.83371 9.83044i 0.183371 0.983044i
\(101\) 3.46850 0.345129 0.172564 0.984998i \(-0.444795\pi\)
0.172564 + 0.984998i \(0.444795\pi\)
\(102\) 7.16228 10.2655i 0.709171 1.01644i
\(103\) 8.68806 + 8.68806i 0.856060 + 0.856060i 0.990871 0.134811i \(-0.0430428\pi\)
−0.134811 + 0.990871i \(0.543043\pi\)
\(104\) 11.6475 7.72251i 1.14213 0.757254i
\(105\) 1.93607 0.427443i 0.188941 0.0417142i
\(106\) −0.850913 0.972617i −0.0826480 0.0944689i
\(107\) −3.10967 + 3.10967i −0.300623 + 0.300623i −0.841258 0.540634i \(-0.818184\pi\)
0.540634 + 0.841258i \(0.318184\pi\)
\(108\) −5.82746 8.60469i −0.560748 0.827987i
\(109\) −4.14320 −0.396846 −0.198423 0.980116i \(-0.563582\pi\)
−0.198423 + 0.980116i \(0.563582\pi\)
\(110\) 6.40660 5.32206i 0.610845 0.507438i
\(111\) −3.56836 + 5.91877i −0.338693 + 0.561785i
\(112\) −1.77824 + 1.01539i −0.168028 + 0.0959455i
\(113\) 4.38269 4.38269i 0.412289 0.412289i −0.470247 0.882535i \(-0.655835\pi\)
0.882535 + 0.470247i \(0.155835\pi\)
\(114\) −0.288676 1.62121i −0.0270370 0.151840i
\(115\) −0.349085 + 13.6519i −0.0325524 + 1.27304i
\(116\) 1.26532 9.43715i 0.117482 0.876217i
\(117\) 4.37594 14.1621i 0.404555 1.30929i
\(118\) 0.463580 6.94597i 0.0426760 0.639428i
\(119\) −2.61602 −0.239810
\(120\) 7.87931 + 7.61029i 0.719279 + 0.694721i
\(121\) −4.06312 −0.369374
\(122\) −0.571830 + 8.56791i −0.0517711 + 0.775702i
\(123\) −6.89347 + 1.70784i −0.621563 + 0.153991i
\(124\) 7.40955 + 0.993466i 0.665397 + 0.0892159i
\(125\) 7.27672 + 8.48819i 0.650850 + 0.759206i
\(126\) −0.777958 + 2.02783i −0.0693060 + 0.180653i
\(127\) 9.88701 9.88701i 0.877331 0.877331i −0.115927 0.993258i \(-0.536984\pi\)
0.993258 + 0.115927i \(0.0369839\pi\)
\(128\) −10.1048 5.08843i −0.893150 0.449758i
\(129\) 15.9008 + 9.58641i 1.39999 + 0.844036i
\(130\) −1.43866 + 15.5582i −0.126178 + 1.36454i
\(131\) 8.79462 0.768389 0.384195 0.923252i \(-0.374479\pi\)
0.384195 + 0.923252i \(0.374479\pi\)
\(132\) 0.997721 + 9.06902i 0.0868404 + 0.789357i
\(133\) −0.243353 + 0.243353i −0.0211014 + 0.0211014i
\(134\) −0.459710 0.525461i −0.0397129 0.0453929i
\(135\) 11.5795 + 0.956203i 0.996608 + 0.0822968i
\(136\) −7.98693 12.0463i −0.684874 1.03297i
\(137\) −1.48819 1.48819i −0.127145 0.127145i 0.640671 0.767816i \(-0.278656\pi\)
−0.767816 + 0.640671i \(0.778656\pi\)
\(138\) −12.2687 8.55993i −1.04438 0.728670i
\(139\) −13.3028 −1.12833 −0.564164 0.825663i \(-0.690801\pi\)
−0.564164 + 0.825663i \(0.690801\pi\)
\(140\) 0.362145 2.26060i 0.0306068 0.191055i
\(141\) −1.24894 + 2.07160i −0.105180 + 0.174460i
\(142\) 0.813404 12.1875i 0.0682593 1.02275i
\(143\) −9.20185 + 9.20185i −0.769498 + 0.769498i
\(144\) −11.7130 + 2.60877i −0.976083 + 0.217397i
\(145\) 7.33261 + 7.71744i 0.608940 + 0.640899i
\(146\) 14.9153 + 17.0486i 1.23440 + 1.41095i
\(147\) −11.3280 + 2.80648i −0.934314 + 0.231474i
\(148\) 4.84305 + 6.34284i 0.398096 + 0.521378i
\(149\) 5.22462i 0.428018i −0.976832 0.214009i \(-0.931348\pi\)
0.976832 0.214009i \(-0.0686522\pi\)
\(150\) −12.1518 + 1.52799i −0.992187 + 0.124760i
\(151\) −11.8511 −0.964429 −0.482214 0.876053i \(-0.660167\pi\)
−0.482214 + 0.876053i \(0.660167\pi\)
\(152\) −1.86358 0.377623i −0.151156 0.0306293i
\(153\) −14.6470 4.52577i −1.18414 0.365887i
\(154\) 1.43511 1.25554i 0.115645 0.101174i
\(155\) −6.05933 + 5.75717i −0.486697 + 0.462427i
\(156\) −13.3536 10.7067i −1.06915 0.857220i
\(157\) 13.9522 + 13.9522i 1.11351 + 1.11351i 0.992673 + 0.120836i \(0.0385574\pi\)
0.120836 + 0.992673i \(0.461443\pi\)
\(158\) 0.383964 5.75305i 0.0305465 0.457688i
\(159\) −0.817188 + 1.35546i −0.0648072 + 0.107495i
\(160\) 11.5154 5.23418i 0.910368 0.413799i
\(161\) 3.12651i 0.246403i
\(162\) −7.86397 + 10.0079i −0.617852 + 0.786295i
\(163\) 6.66434 6.66434i 0.521992 0.521992i −0.396181 0.918172i \(-0.629665\pi\)
0.918172 + 0.396181i \(0.129665\pi\)
\(164\) −1.08977 + 8.12781i −0.0850967 + 0.634675i
\(165\) −8.59835 5.48832i −0.669381 0.427265i
\(166\) 11.2449 + 12.8532i 0.872774 + 0.997604i
\(167\) −15.6456 15.6456i −1.21069 1.21069i −0.970800 0.239890i \(-0.922889\pi\)
−0.239890 0.970800i \(-0.577111\pi\)
\(168\) 1.84785 + 1.69563i 0.142565 + 0.130821i
\(169\) 11.4127i 0.877903i
\(170\) 16.0909 + 1.48792i 1.23412 + 0.114118i
\(171\) −1.78354 + 0.941524i −0.136390 + 0.0720001i
\(172\) 17.0401 13.0109i 1.29929 0.992069i
\(173\) 6.40332 + 6.40332i 0.486836 + 0.486836i 0.907306 0.420471i \(-0.138135\pi\)
−0.420471 + 0.907306i \(0.638135\pi\)
\(174\) −11.4809 + 2.04433i −0.870368 + 0.154980i
\(175\) 1.71508 + 1.90008i 0.129648 + 0.143633i
\(176\) 10.1631 + 2.77521i 0.766071 + 0.209189i
\(177\) −8.27577 + 2.05030i −0.622045 + 0.154110i
\(178\) 9.29311 + 0.620231i 0.696548 + 0.0464882i
\(179\) 0.582525i 0.0435399i 0.999763 + 0.0217700i \(0.00693014\pi\)
−0.999763 + 0.0217700i \(0.993070\pi\)
\(180\) 5.93853 12.0305i 0.442632 0.896703i
\(181\) 3.71429i 0.276081i −0.990427 0.138040i \(-0.955920\pi\)
0.990427 0.138040i \(-0.0440804\pi\)
\(182\) −0.238211 + 3.56918i −0.0176573 + 0.264565i
\(183\) 10.2082 2.52906i 0.754614 0.186954i
\(184\) −14.3971 + 9.54551i −1.06137 + 0.703704i
\(185\) −8.91944 0.228075i −0.655770 0.0167684i
\(186\) −1.60510 9.01423i −0.117691 0.660955i
\(187\) 9.51693 + 9.51693i 0.695947 + 0.695947i
\(188\) 1.69509 + 2.22002i 0.123627 + 0.161912i
\(189\) 2.65577 + 0.151077i 0.193179 + 0.0109892i
\(190\) 1.63526 1.35843i 0.118634 0.0985511i
\(191\) 22.4496i 1.62440i −0.583380 0.812199i \(-0.698270\pi\)
0.583380 0.812199i \(-0.301730\pi\)
\(192\) −2.16646 + 13.6860i −0.156351 + 0.987702i
\(193\) 8.01395 + 8.01395i 0.576857 + 0.576857i 0.934036 0.357179i \(-0.116261\pi\)
−0.357179 + 0.934036i \(0.616261\pi\)
\(194\) 0.994759 0.870284i 0.0714195 0.0624828i
\(195\) 18.6861 4.12549i 1.33814 0.295433i
\(196\) −1.79081 + 13.3563i −0.127915 + 0.954024i
\(197\) −1.49806 + 1.49806i −0.106733 + 0.106733i −0.758456 0.651724i \(-0.774046\pi\)
0.651724 + 0.758456i \(0.274046\pi\)
\(198\) 10.2073 4.54696i 0.725401 0.323138i
\(199\) 12.6160i 0.894328i −0.894452 0.447164i \(-0.852434\pi\)
0.894452 0.447164i \(-0.147566\pi\)
\(200\) −3.51329 + 13.6988i −0.248427 + 0.968651i
\(201\) −0.441490 + 0.732291i −0.0311403 + 0.0516519i
\(202\) −4.89431 0.326651i −0.344363 0.0229831i
\(203\) 1.72336 + 1.72336i 0.120956 + 0.120956i
\(204\) −11.0733 + 13.8109i −0.775284 + 0.966955i
\(205\) −6.31526 6.64670i −0.441077 0.464226i
\(206\) −11.4413 13.0777i −0.797152 0.911167i
\(207\) −5.40893 + 17.5053i −0.375947 + 1.21670i
\(208\) −17.1628 + 9.80011i −1.19003 + 0.679515i
\(209\) 1.77061 0.122476
\(210\) −2.77220 + 0.420822i −0.191300 + 0.0290395i
\(211\) 14.0010i 0.963865i −0.876208 0.481933i \(-0.839935\pi\)
0.876208 0.481933i \(-0.160065\pi\)
\(212\) 1.10910 + 1.45257i 0.0761736 + 0.0997630i
\(213\) −14.5208 + 3.59748i −0.994946 + 0.246496i
\(214\) 4.68083 4.09512i 0.319975 0.279937i
\(215\) −0.612724 + 23.9621i −0.0417874 + 1.63420i
\(216\) 7.41263 + 12.6907i 0.504365 + 0.863490i
\(217\) −1.35309 + 1.35309i −0.0918537 + 0.0918537i
\(218\) 5.84636 + 0.390192i 0.395965 + 0.0264271i
\(219\) 14.3241 23.7592i 0.967935 1.60550i
\(220\) −9.54140 + 6.90647i −0.643281 + 0.465634i
\(221\) −25.2486 −1.69841
\(222\) 5.59263 8.01577i 0.375352 0.537983i
\(223\) −2.56530 2.56530i −0.171785 0.171785i 0.615978 0.787763i \(-0.288761\pi\)
−0.787763 + 0.615978i \(0.788761\pi\)
\(224\) 2.60486 1.26532i 0.174044 0.0845431i
\(225\) 6.31552 + 13.6057i 0.421034 + 0.907045i
\(226\) −6.59704 + 5.77155i −0.438829 + 0.383918i
\(227\) 13.3645 13.3645i 0.887032 0.887032i −0.107205 0.994237i \(-0.534190\pi\)
0.994237 + 0.107205i \(0.0341901\pi\)
\(228\) 0.254664 + 2.31483i 0.0168655 + 0.153303i
\(229\) 15.7606 1.04149 0.520746 0.853712i \(-0.325654\pi\)
0.520746 + 0.853712i \(0.325654\pi\)
\(230\) 1.77827 19.2309i 0.117256 1.26805i
\(231\) −2.00000 1.20578i −0.131590 0.0793343i
\(232\) −2.67422 + 13.1974i −0.175571 + 0.866449i
\(233\) −13.0197 + 13.0197i −0.852949 + 0.852949i −0.990495 0.137546i \(-0.956079\pi\)
0.137546 + 0.990495i \(0.456079\pi\)
\(234\) −7.50851 + 19.5717i −0.490847 + 1.27944i
\(235\) −3.12185 0.0798273i −0.203647 0.00520736i
\(236\) −1.30829 + 9.75762i −0.0851626 + 0.635167i
\(237\) −6.85446 + 1.69818i −0.445245 + 0.110308i
\(238\) 3.69139 + 0.246367i 0.239278 + 0.0159696i
\(239\) 24.8336 1.60635 0.803177 0.595740i \(-0.203141\pi\)
0.803177 + 0.595740i \(0.203141\pi\)
\(240\) −10.4016 11.4807i −0.671419 0.741078i
\(241\) 17.2991 1.11433 0.557165 0.830402i \(-0.311889\pi\)
0.557165 + 0.830402i \(0.311889\pi\)
\(242\) 5.73336 + 0.382650i 0.368555 + 0.0245977i
\(243\) 14.6083 + 5.44043i 0.937121 + 0.349004i
\(244\) 1.61379 12.0361i 0.103312 0.770532i
\(245\) −10.3778 10.9224i −0.663013 0.697810i
\(246\) 9.88804 1.76069i 0.630438 0.112257i
\(247\) −2.34874 + 2.34874i −0.149446 + 0.149446i
\(248\) −10.3619 2.09966i −0.657979 0.133328i
\(249\) 10.7992 17.9125i 0.684373 1.13516i
\(250\) −9.46861 12.6628i −0.598847 0.800863i
\(251\) 1.05032 0.0662958 0.0331479 0.999450i \(-0.489447\pi\)
0.0331479 + 0.999450i \(0.489447\pi\)
\(252\) 1.28873 2.78815i 0.0811824 0.175637i
\(253\) 11.3741 11.3741i 0.715082 0.715082i
\(254\) −14.8824 + 13.0202i −0.933807 + 0.816959i
\(255\) −4.26675 19.3260i −0.267195 1.21024i
\(256\) 13.7795 + 8.13180i 0.861217 + 0.508237i
\(257\) 2.20315 + 2.20315i 0.137429 + 0.137429i 0.772474 0.635046i \(-0.219019\pi\)
−0.635046 + 0.772474i \(0.719019\pi\)
\(258\) −21.5344 15.0246i −1.34067 0.935392i
\(259\) −2.04270 −0.126927
\(260\) 3.49527 21.8183i 0.216767 1.35311i
\(261\) 6.66761 + 12.6305i 0.412715 + 0.781809i
\(262\) −12.4099 0.828245i −0.766683 0.0511692i
\(263\) 7.49936 7.49936i 0.462430 0.462430i −0.437021 0.899451i \(-0.643966\pi\)
0.899451 + 0.437021i \(0.143966\pi\)
\(264\) −0.553770 12.8910i −0.0340822 0.793388i
\(265\) −2.04264 0.0522313i −0.125478 0.00320854i
\(266\) 0.366307 0.320471i 0.0224597 0.0196493i
\(267\) −2.74313 11.0723i −0.167877 0.677611i
\(268\) 0.599199 + 0.784759i 0.0366019 + 0.0479368i
\(269\) 21.1993i 1.29254i −0.763108 0.646271i \(-0.776327\pi\)
0.763108 0.646271i \(-0.223673\pi\)
\(270\) −16.2495 2.43979i −0.988915 0.148481i
\(271\) −14.6748 −0.891431 −0.445716 0.895175i \(-0.647051\pi\)
−0.445716 + 0.895175i \(0.647051\pi\)
\(272\) 10.1357 + 17.7505i 0.614565 + 1.07628i
\(273\) 4.25250 1.05355i 0.257373 0.0637636i
\(274\) 1.95980 + 2.24010i 0.118396 + 0.135330i
\(275\) 0.673036 13.1518i 0.0405856 0.793082i
\(276\) 16.5060 + 13.2341i 0.993542 + 0.796601i
\(277\) −8.79593 8.79593i −0.528496 0.528496i 0.391628 0.920124i \(-0.371912\pi\)
−0.920124 + 0.391628i \(0.871912\pi\)
\(278\) 18.7712 + 1.25281i 1.12582 + 0.0751384i
\(279\) −9.91681 + 5.23506i −0.593704 + 0.313415i
\(280\) −0.723909 + 3.15577i −0.0432618 + 0.188593i
\(281\) 0.490821i 0.0292799i −0.999893 0.0146399i \(-0.995340\pi\)
0.999893 0.0146399i \(-0.00466021\pi\)
\(282\) 1.95745 2.80556i 0.116564 0.167069i
\(283\) −9.43710 + 9.43710i −0.560978 + 0.560978i −0.929585 0.368608i \(-0.879835\pi\)
0.368608 + 0.929585i \(0.379835\pi\)
\(284\) −2.29555 + 17.1208i −0.136216 + 1.01593i
\(285\) −2.19469 1.40087i −0.130002 0.0829804i
\(286\) 13.8511 12.1179i 0.819033 0.716547i
\(287\) −1.48425 1.48425i −0.0876127 0.0876127i
\(288\) 16.7736 2.57807i 0.988394 0.151914i
\(289\) 9.11317i 0.536069i
\(290\) −9.62005 11.5804i −0.564909 0.680027i
\(291\) −1.38631 0.835791i −0.0812671 0.0489950i
\(292\) −19.4410 25.4615i −1.13770 1.49002i
\(293\) 4.01316 + 4.01316i 0.234451 + 0.234451i 0.814548 0.580096i \(-0.196985\pi\)
−0.580096 + 0.814548i \(0.696985\pi\)
\(294\) 16.2489 2.89332i 0.947655 0.168742i
\(295\) −7.58161 7.97952i −0.441418 0.464585i
\(296\) −6.23655 9.40632i −0.362492 0.546731i
\(297\) −9.11195 10.2112i −0.528729 0.592512i
\(298\) −0.492036 + 7.37233i −0.0285029 + 0.427068i
\(299\) 30.1757i 1.74510i
\(300\) 17.2909 1.01170i 0.998293 0.0584103i
\(301\) 5.48773i 0.316307i
\(302\) 16.7228 + 1.11609i 0.962288 + 0.0642240i
\(303\) 1.44470 + 5.83132i 0.0829957 + 0.335001i
\(304\) 2.59409 + 0.708360i 0.148781 + 0.0406272i
\(305\) 9.35198 + 9.84280i 0.535493 + 0.563597i
\(306\) 20.2418 + 7.76561i 1.15715 + 0.443930i
\(307\) −8.00887 8.00887i −0.457091 0.457091i 0.440609 0.897699i \(-0.354763\pi\)
−0.897699 + 0.440609i \(0.854763\pi\)
\(308\) −2.14330 + 1.63650i −0.122126 + 0.0932485i
\(309\) −10.9878 + 18.2253i −0.625076 + 1.03680i
\(310\) 9.09235 7.55315i 0.516411 0.428990i
\(311\) 12.8874i 0.730778i −0.930855 0.365389i \(-0.880936\pi\)
0.930855 0.365389i \(-0.119064\pi\)
\(312\) 17.8347 + 16.3655i 1.00969 + 0.926515i
\(313\) 12.2991 + 12.2991i 0.695184 + 0.695184i 0.963368 0.268184i \(-0.0864235\pi\)
−0.268184 + 0.963368i \(0.586424\pi\)
\(314\) −18.3736 21.0016i −1.03688 1.18519i
\(315\) 1.52504 + 3.07693i 0.0859262 + 0.173366i
\(316\) −1.08360 + 8.08182i −0.0609574 + 0.454638i
\(317\) −9.24176 + 9.24176i −0.519069 + 0.519069i −0.917290 0.398221i \(-0.869628\pi\)
0.398221 + 0.917290i \(0.369628\pi\)
\(318\) 1.28076 1.83569i 0.0718217 0.102940i
\(319\) 12.5390i 0.702048i
\(320\) −16.7420 + 6.30135i −0.935904 + 0.352256i
\(321\) −6.52329 3.93281i −0.364094 0.219508i
\(322\) 0.294443 4.41174i 0.0164087 0.245856i
\(323\) 2.42916 + 2.42916i 0.135162 + 0.135162i
\(324\) 12.0392 13.3813i 0.668842 0.743405i
\(325\) 16.5532 + 18.3388i 0.918206 + 1.01725i
\(326\) −10.0315 + 8.77626i −0.555594 + 0.486072i
\(327\) −1.72572 6.96564i −0.0954326 0.385201i
\(328\) 2.30319 11.3663i 0.127173 0.627600i
\(329\) −0.714956 −0.0394168
\(330\) 11.6160 + 8.55418i 0.639442 + 0.470892i
\(331\) 22.2355i 1.22218i 0.791563 + 0.611088i \(0.209268\pi\)
−0.791563 + 0.611088i \(0.790732\pi\)
\(332\) −14.6569 19.1959i −0.804403 1.05351i
\(333\) −11.4371 3.53392i −0.626747 0.193658i
\(334\) 20.6036 + 23.5505i 1.12738 + 1.28863i
\(335\) −1.10354 0.0282182i −0.0602931 0.00154173i
\(336\) −2.44777 2.56669i −0.133537 0.140024i
\(337\) −8.98693 + 8.98693i −0.489549 + 0.489549i −0.908164 0.418615i \(-0.862516\pi\)
0.418615 + 0.908164i \(0.362516\pi\)
\(338\) −1.07481 + 16.1042i −0.0584620 + 0.875954i
\(339\) 9.19375 + 5.54280i 0.499336 + 0.301044i
\(340\) −22.5654 3.61495i −1.22378 0.196048i
\(341\) 9.84494 0.533133
\(342\) 2.60537 1.16059i 0.140882 0.0627577i
\(343\) −4.97298 4.97298i −0.268516 0.268516i
\(344\) −25.2701 + 16.7545i −1.36247 + 0.903343i
\(345\) −23.0972 + 5.09937i −1.24351 + 0.274541i
\(346\) −8.43252 9.63861i −0.453335 0.518175i
\(347\) −9.25494 + 9.25494i −0.496831 + 0.496831i −0.910450 0.413619i \(-0.864265\pi\)
0.413619 + 0.910450i \(0.364265\pi\)
\(348\) 16.3930 1.80346i 0.878756 0.0966756i
\(349\) −17.5919 −0.941671 −0.470835 0.882221i \(-0.656047\pi\)
−0.470835 + 0.882221i \(0.656047\pi\)
\(350\) −2.24116 2.84268i −0.119795 0.151948i
\(351\) 25.6324 + 1.45813i 1.36815 + 0.0778292i
\(352\) −14.0795 4.87314i −0.750440 0.259739i
\(353\) 12.9654 12.9654i 0.690077 0.690077i −0.272172 0.962249i \(-0.587742\pi\)
0.962249 + 0.272172i \(0.0877419\pi\)
\(354\) 11.8708 2.11375i 0.630927 0.112344i
\(355\) −13.3028 14.0010i −0.706038 0.743093i
\(356\) −13.0549 1.75038i −0.691906 0.0927701i
\(357\) −1.08962 4.39811i −0.0576689 0.232773i
\(358\) 0.0548601 0.821985i 0.00289945 0.0434433i
\(359\) 16.5244 0.872125 0.436063 0.899916i \(-0.356373\pi\)
0.436063 + 0.899916i \(0.356373\pi\)
\(360\) −9.51270 + 16.4167i −0.501364 + 0.865237i
\(361\) −18.5481 −0.976214
\(362\) −0.349798 + 5.24113i −0.0183850 + 0.275468i
\(363\) −1.69237 6.83101i −0.0888262 0.358535i
\(364\) 0.672266 5.01395i 0.0352363 0.262802i
\(365\) 35.8045 + 0.915540i 1.87409 + 0.0479215i
\(366\) −14.6427 + 2.60732i −0.765389 + 0.136287i
\(367\) −24.4900 + 24.4900i −1.27837 + 1.27837i −0.336786 + 0.941581i \(0.609340\pi\)
−0.941581 + 0.336786i \(0.890660\pi\)
\(368\) 21.2143 12.1136i 1.10587 0.631463i
\(369\) −5.74253 10.8781i −0.298944 0.566292i
\(370\) 12.5645 + 1.16183i 0.653198 + 0.0604007i
\(371\) −0.467798 −0.0242869
\(372\) 1.41598 + 12.8709i 0.0734152 + 0.667325i
\(373\) −0.406084 + 0.406084i −0.0210262 + 0.0210262i −0.717542 0.696516i \(-0.754733\pi\)
0.696516 + 0.717542i \(0.254733\pi\)
\(374\) −12.5328 14.3254i −0.648057 0.740747i
\(375\) −11.2396 + 15.7693i −0.580413 + 0.814323i
\(376\) −2.18282 3.29226i −0.112571 0.169785i
\(377\) 16.6331 + 16.6331i 0.856648 + 0.856648i
\(378\) −3.73327 0.463292i −0.192018 0.0238292i
\(379\) −5.73108 −0.294386 −0.147193 0.989108i \(-0.547024\pi\)
−0.147193 + 0.989108i \(0.547024\pi\)
\(380\) −2.43540 + 1.76285i −0.124934 + 0.0904322i
\(381\) 20.7404 + 12.5041i 1.06256 + 0.640607i
\(382\) −2.11423 + 31.6781i −0.108173 + 1.62079i
\(383\) −17.2603 + 17.2603i −0.881958 + 0.881958i −0.993734 0.111775i \(-0.964346\pi\)
0.111775 + 0.993734i \(0.464346\pi\)
\(384\) 4.34593 19.1079i 0.221777 0.975097i
\(385\) 0.0770683 3.01395i 0.00392776 0.153605i
\(386\) −10.5536 12.0630i −0.537162 0.613991i
\(387\) −9.49390 + 30.7257i −0.482602 + 1.56188i
\(388\) −1.48564 + 1.13435i −0.0754219 + 0.0575880i
\(389\) 27.9300i 1.41611i 0.706159 + 0.708053i \(0.250426\pi\)
−0.706159 + 0.708053i \(0.749574\pi\)
\(390\) −26.7560 + 4.06159i −1.35484 + 0.205666i
\(391\) 31.2089 1.57830
\(392\) 3.78481 18.6781i 0.191162 0.943388i
\(393\) 3.66313 + 14.7857i 0.184780 + 0.745841i
\(394\) 2.25496 1.97280i 0.113603 0.0993881i
\(395\) −6.27952 6.60909i −0.315957 0.332539i
\(396\) −14.8315 + 5.45481i −0.745310 + 0.274115i
\(397\) −3.16232 3.16232i −0.158712 0.158712i 0.623284 0.781996i \(-0.285798\pi\)
−0.781996 + 0.623284i \(0.785798\pi\)
\(398\) −1.18813 + 17.8022i −0.0595558 + 0.892342i
\(399\) −0.510492 0.307770i −0.0255566 0.0154077i
\(400\) 6.24762 18.9991i 0.312381 0.949957i
\(401\) 11.2530i 0.561950i −0.959715 0.280975i \(-0.909342\pi\)
0.959715 0.280975i \(-0.0906578\pi\)
\(402\) 0.691940 0.991740i 0.0345108 0.0494635i
\(403\) −13.0594 + 13.0594i −0.650536 + 0.650536i
\(404\) 6.87548 + 0.921858i 0.342068 + 0.0458641i
\(405\) 3.21551 + 19.8661i 0.159780 + 0.987153i
\(406\) −2.26949 2.59409i −0.112633 0.128742i
\(407\) 7.43124 + 7.43124i 0.368353 + 0.368353i
\(408\) 16.9259 18.4453i 0.837956 0.913181i
\(409\) 5.05965i 0.250183i 0.992145 + 0.125092i \(0.0399225\pi\)
−0.992145 + 0.125092i \(0.960077\pi\)
\(410\) 8.28533 + 9.97374i 0.409184 + 0.492568i
\(411\) 1.88212 3.12185i 0.0928384 0.153989i
\(412\) 14.9129 + 19.5311i 0.734706 + 0.962229i
\(413\) −1.78188 1.78188i −0.0876806 0.0876806i
\(414\) 9.28099 24.1919i 0.456136 1.18897i
\(415\) 26.9937 + 0.690242i 1.32507 + 0.0338826i
\(416\) 25.1409 12.2124i 1.23264 0.598760i
\(417\) −5.54086 22.3649i −0.271337 1.09522i
\(418\) −2.49846 0.166750i −0.122204 0.00815600i
\(419\) 25.1822i 1.23023i −0.788436 0.615116i \(-0.789109\pi\)
0.788436 0.615116i \(-0.210891\pi\)
\(420\) 3.95141 0.332735i 0.192809 0.0162358i
\(421\) 31.5091i 1.53566i −0.640654 0.767830i \(-0.721336\pi\)
0.640654 0.767830i \(-0.278664\pi\)
\(422\) −1.31856 + 19.7564i −0.0641865 + 0.961726i
\(423\) −4.00303 1.23689i −0.194634 0.0601397i
\(424\) −1.42823 2.15414i −0.0693610 0.104614i
\(425\) 18.9667 17.1200i 0.920020 0.830441i
\(426\) 20.8287 3.70880i 1.00915 0.179692i
\(427\) 2.19796 + 2.19796i 0.106367 + 0.106367i
\(428\) −6.99067 + 5.33769i −0.337907 + 0.258007i
\(429\) −19.3031 11.6376i −0.931963 0.561870i
\(430\) 3.12126 33.7546i 0.150521 1.62779i
\(431\) 13.6082i 0.655482i 0.944768 + 0.327741i \(0.106287\pi\)
−0.944768 + 0.327741i \(0.893713\pi\)
\(432\) −9.26461 18.6056i −0.445744 0.895161i
\(433\) 2.81500 + 2.81500i 0.135280 + 0.135280i 0.771504 0.636224i \(-0.219505\pi\)
−0.636224 + 0.771504i \(0.719505\pi\)
\(434\) 2.03674 1.78188i 0.0977666 0.0855330i
\(435\) −9.92058 + 15.5422i −0.475655 + 0.745192i
\(436\) −8.21290 1.10118i −0.393327 0.0527369i
\(437\) 2.90319 2.90319i 0.138878 0.138878i
\(438\) −22.4500 + 32.1770i −1.07270 + 1.53748i
\(439\) 5.56599i 0.265650i 0.991139 + 0.132825i \(0.0424049\pi\)
−0.991139 + 0.132825i \(0.957595\pi\)
\(440\) 14.1140 8.84697i 0.672861 0.421763i
\(441\) −9.43663 17.8759i −0.449363 0.851232i
\(442\) 35.6277 + 2.37783i 1.69464 + 0.113102i
\(443\) 3.53450 + 3.53450i 0.167929 + 0.167929i 0.786069 0.618139i \(-0.212113\pi\)
−0.618139 + 0.786069i \(0.712113\pi\)
\(444\) −8.64651 + 10.7842i −0.410345 + 0.511793i
\(445\) 10.6759 10.1435i 0.506086 0.480850i
\(446\) 3.37823 + 3.86141i 0.159964 + 0.182843i
\(447\) 8.78376 2.17616i 0.415458 0.102929i
\(448\) −3.79481 + 1.54015i −0.179288 + 0.0727653i
\(449\) −21.1895 −0.999995 −0.499998 0.866027i \(-0.666666\pi\)
−0.499998 + 0.866027i \(0.666666\pi\)
\(450\) −7.63033 19.7934i −0.359697 0.933069i
\(451\) 10.7993i 0.508518i
\(452\) 9.85246 7.52280i 0.463421 0.353843i
\(453\) −4.93621 19.9243i −0.231923 0.936127i
\(454\) −20.1169 + 17.5997i −0.944133 + 0.825993i
\(455\) 3.89581 + 4.10027i 0.182638 + 0.192224i
\(456\) −0.141348 3.29038i −0.00661921 0.154086i
\(457\) 16.8790 16.8790i 0.789566 0.789566i −0.191857 0.981423i \(-0.561451\pi\)
0.981423 + 0.191857i \(0.0614509\pi\)
\(458\) −22.2394 1.48428i −1.03918 0.0693558i
\(459\) 1.50806 26.5100i 0.0703901 1.23738i
\(460\) −4.32037 + 26.9688i −0.201438 + 1.25743i
\(461\) −3.58886 −0.167150 −0.0835749 0.996502i \(-0.526634\pi\)
−0.0835749 + 0.996502i \(0.526634\pi\)
\(462\) 2.70859 + 1.88979i 0.126015 + 0.0879211i
\(463\) −26.4996 26.4996i −1.23154 1.23154i −0.963372 0.268168i \(-0.913582\pi\)
−0.268168 0.963372i \(-0.586418\pi\)
\(464\) 5.01641 18.3706i 0.232881 0.852834i
\(465\) −12.2029 7.78911i −0.565897 0.361211i
\(466\) 19.5979 17.1456i 0.907856 0.794256i
\(467\) 21.1839 21.1839i 0.980274 0.980274i −0.0195348 0.999809i \(-0.506219\pi\)
0.999809 + 0.0195348i \(0.00621850\pi\)
\(468\) 12.4383 26.9100i 0.574959 1.24392i
\(469\) −0.252730 −0.0116700
\(470\) 4.39764 + 0.406647i 0.202848 + 0.0187572i
\(471\) −17.6454 + 29.2682i −0.813058 + 1.34861i
\(472\) 2.76504 13.6455i 0.127271 0.628086i
\(473\) 19.9641 19.9641i 0.917949 0.917949i
\(474\) 9.83208 1.75073i 0.451603 0.0804135i
\(475\) 0.171790 3.35694i 0.00788225 0.154027i
\(476\) −5.18563 0.695284i −0.237683 0.0318683i
\(477\) −2.61920 0.809302i −0.119925 0.0370554i
\(478\) −35.0421 2.33874i −1.60279 0.106972i
\(479\) −2.58847 −0.118270 −0.0591350 0.998250i \(-0.518834\pi\)
−0.0591350 + 0.998250i \(0.518834\pi\)
\(480\) 13.5962 + 17.1797i 0.620579 + 0.784144i
\(481\) −19.7153 −0.898939
\(482\) −24.4103 1.62916i −1.11186 0.0742063i
\(483\) −5.25636 + 1.30225i −0.239173 + 0.0592545i
\(484\) −8.05417 1.07990i −0.366098 0.0490861i
\(485\) 0.0534204 2.08914i 0.00242569 0.0948628i
\(486\) −20.1010 9.05261i −0.911800 0.410635i
\(487\) 8.29975 8.29975i 0.376098 0.376098i −0.493595 0.869692i \(-0.664317\pi\)
0.869692 + 0.493595i \(0.164317\pi\)
\(488\) −3.41069 + 16.8319i −0.154395 + 0.761942i
\(489\) 13.9801 + 8.42842i 0.632201 + 0.381146i
\(490\) 13.6152 + 16.3897i 0.615072 + 0.740412i
\(491\) −25.3703 −1.14494 −0.572472 0.819924i \(-0.694015\pi\)
−0.572472 + 0.819924i \(0.694015\pi\)
\(492\) −14.1186 + 1.55324i −0.636514 + 0.0700256i
\(493\) 17.2026 17.2026i 0.774767 0.774767i
\(494\) 3.53544 3.09305i 0.159067 0.139163i
\(495\) 5.64571 16.7417i 0.253756 0.752485i
\(496\) 14.4236 + 3.93862i 0.647640 + 0.176849i
\(497\) −3.12651 3.12651i −0.140243 0.140243i
\(498\) −16.9254 + 24.2588i −0.758447 + 1.08706i
\(499\) 28.6742 1.28363 0.641816 0.766859i \(-0.278181\pi\)
0.641816 + 0.766859i \(0.278181\pi\)
\(500\) 12.1684 + 18.7598i 0.544186 + 0.838964i
\(501\) 19.7870 32.8204i 0.884018 1.46631i
\(502\) −1.48208 0.0989156i −0.0661486 0.00441482i
\(503\) −5.46994 + 5.46994i −0.243893 + 0.243893i −0.818458 0.574566i \(-0.805171\pi\)
0.574566 + 0.818458i \(0.305171\pi\)
\(504\) −2.08107 + 3.81292i −0.0926983 + 0.169841i
\(505\) −5.62258 + 5.34220i −0.250201 + 0.237725i
\(506\) −17.1208 + 14.9785i −0.761114 + 0.665875i
\(507\) 19.1874 4.75362i 0.852140 0.211116i
\(508\) 22.2264 16.9709i 0.986138 0.752961i
\(509\) 21.6722i 0.960605i −0.877103 0.480303i \(-0.840527\pi\)
0.877103 0.480303i \(-0.159473\pi\)
\(510\) 4.20066 + 27.6722i 0.186008 + 1.22534i
\(511\) 8.19983 0.362739
\(512\) −18.6780 12.7723i −0.825460 0.564460i
\(513\) −2.32579 2.60636i −0.102686 0.115074i
\(514\) −2.90132 3.31629i −0.127972 0.146275i
\(515\) −27.4651 0.702297i −1.21026 0.0309469i
\(516\) 28.9717 + 23.2289i 1.27541 + 1.02259i
\(517\) 2.60097 + 2.60097i 0.114391 + 0.114391i
\(518\) 2.88240 + 0.192374i 0.126646 + 0.00845244i
\(519\) −8.09831 + 13.4325i −0.355476 + 0.589622i
\(520\) −6.98685 + 30.4581i −0.306394 + 1.33567i
\(521\) 13.0236i 0.570576i 0.958442 + 0.285288i \(0.0920893\pi\)
−0.958442 + 0.285288i \(0.907911\pi\)
\(522\) −8.21900 18.4505i −0.359736 0.807558i
\(523\) −1.57962 + 1.57962i −0.0690720 + 0.0690720i −0.740799 0.671727i \(-0.765553\pi\)
0.671727 + 0.740799i \(0.265553\pi\)
\(524\) 17.4332 + 2.33743i 0.761574 + 0.102111i
\(525\) −2.48010 + 3.67485i −0.108240 + 0.160384i
\(526\) −11.2884 + 9.87589i −0.492198 + 0.430609i
\(527\) 13.5066 + 13.5066i 0.588356 + 0.588356i
\(528\) −0.432619 + 18.2423i −0.0188273 + 0.793896i
\(529\) 14.2991i 0.621698i
\(530\) 2.87739 + 0.266070i 0.124986 + 0.0115574i
\(531\) −6.89403 13.0594i −0.299176 0.566731i
\(532\) −0.547068 + 0.417711i −0.0237184 + 0.0181101i
\(533\) −14.3254 14.3254i −0.620501 0.620501i
\(534\) 2.82801 + 15.8821i 0.122380 + 0.687287i
\(535\) 0.251369 9.83043i 0.0108676 0.425007i
\(536\) −0.771608 1.16378i −0.0333284 0.0502678i
\(537\) −0.979354 + 0.242633i −0.0422622 + 0.0104704i
\(538\) −1.99647 + 29.9137i −0.0860740 + 1.28967i
\(539\) 17.7463i 0.764388i
\(540\) 22.6995 + 4.97305i 0.976832 + 0.214006i
\(541\) 38.6062i 1.65981i 0.557903 + 0.829906i \(0.311606\pi\)
−0.557903 + 0.829906i \(0.688394\pi\)
\(542\) 20.7072 + 1.38202i 0.889452 + 0.0593629i
\(543\) 6.24454 1.54707i 0.267979 0.0663912i
\(544\) −12.6305 26.0018i −0.541529 1.11482i
\(545\) 6.71629 6.38137i 0.287694 0.273348i
\(546\) −6.09981 + 1.08615i −0.261048 + 0.0464828i
\(547\) 16.8276 + 16.8276i 0.719498 + 0.719498i 0.968502 0.249005i \(-0.0801034\pi\)
−0.249005 + 0.968502i \(0.580103\pi\)
\(548\) −2.55446 3.34552i −0.109121 0.142914i
\(549\) 8.50384 + 16.1089i 0.362935 + 0.687511i
\(550\) −2.18829 + 18.4947i −0.0933090 + 0.788618i
\(551\) 3.20052i 0.136347i
\(552\) −22.0448 20.2288i −0.938288 0.860995i
\(553\) −1.47586 1.47586i −0.0627597 0.0627597i
\(554\) 11.5833 + 13.2401i 0.492129 + 0.562517i
\(555\) −3.33167 15.0906i −0.141422 0.640559i
\(556\) −26.3696 3.53561i −1.11832 0.149943i
\(557\) −15.9467 + 15.9467i −0.675684 + 0.675684i −0.959020 0.283337i \(-0.908559\pi\)
0.283337 + 0.959020i \(0.408559\pi\)
\(558\) 14.4864 6.45312i 0.613257 0.273182i
\(559\) 52.9651i 2.24019i
\(560\) 1.31869 4.38484i 0.0557247 0.185294i
\(561\) −12.0361 + 19.9641i −0.508165 + 0.842884i
\(562\) −0.0462237 + 0.692584i −0.00194983 + 0.0292149i
\(563\) 2.27954 + 2.27954i 0.0960712 + 0.0960712i 0.753509 0.657438i \(-0.228360\pi\)
−0.657438 + 0.753509i \(0.728360\pi\)
\(564\) −3.02632 + 3.77451i −0.127431 + 0.158935i
\(565\) −0.354273 + 13.8547i −0.0149044 + 0.582874i
\(566\) 14.2052 12.4277i 0.597089 0.522375i
\(567\) 0.852186 + 4.52787i 0.0357885 + 0.190153i
\(568\) 4.85156 23.9426i 0.203567 1.00461i
\(569\) −38.0835 −1.59654 −0.798272 0.602297i \(-0.794252\pi\)
−0.798272 + 0.602297i \(0.794252\pi\)
\(570\) 2.96495 + 2.18342i 0.124188 + 0.0914534i
\(571\) 39.4382i 1.65044i −0.564815 0.825218i \(-0.691052\pi\)
0.564815 0.825218i \(-0.308948\pi\)
\(572\) −20.6861 + 15.7948i −0.864931 + 0.660414i
\(573\) 37.7429 9.35070i 1.57673 0.390631i
\(574\) 1.95461 + 2.23417i 0.0815839 + 0.0932526i
\(575\) −20.4608 22.6679i −0.853274 0.945316i
\(576\) −23.9116 + 2.05818i −0.996316 + 0.0857574i
\(577\) 15.6617 15.6617i 0.652007 0.652007i −0.301469 0.953476i \(-0.597477\pi\)
0.953476 + 0.301469i \(0.0974770\pi\)
\(578\) 0.858246 12.8594i 0.0356983 0.534879i
\(579\) −10.1353 + 16.8112i −0.421208 + 0.698650i
\(580\) 12.4840 + 17.2469i 0.518370 + 0.716137i
\(581\) 6.18200 0.256473
\(582\) 1.87748 + 1.30992i 0.0778240 + 0.0542980i
\(583\) 1.70183 + 1.70183i 0.0704824 + 0.0704824i
\(584\) 25.0348 + 37.7589i 1.03595 + 1.56248i
\(585\) 14.7190 + 29.6972i 0.608556 + 1.22783i
\(586\) −5.28492 6.04081i −0.218318 0.249544i
\(587\) 8.03380 8.03380i 0.331590 0.331590i −0.521600 0.853190i \(-0.674665\pi\)
0.853190 + 0.521600i \(0.174665\pi\)
\(588\) −23.2009 + 2.55243i −0.956788 + 0.105260i
\(589\) 2.51288 0.103541
\(590\) 9.94673 + 11.9737i 0.409501 + 0.492949i
\(591\) −3.14255 1.89461i −0.129267 0.0779338i
\(592\) 7.91438 + 13.8604i 0.325279 + 0.569657i
\(593\) −15.7097 + 15.7097i −0.645122 + 0.645122i −0.951810 0.306688i \(-0.900779\pi\)
0.306688 + 0.951810i \(0.400779\pi\)
\(594\) 11.8960 + 15.2669i 0.488098 + 0.626407i
\(595\) 4.24067 4.02920i 0.173850 0.165181i
\(596\) 1.38860 10.3566i 0.0568793 0.424222i
\(597\) 21.2104 5.25482i 0.868083 0.215066i
\(598\) 2.84184 42.5801i 0.116211 1.74123i
\(599\) −16.2242 −0.662902 −0.331451 0.943473i \(-0.607538\pi\)
−0.331451 + 0.943473i \(0.607538\pi\)
\(600\) −24.4941 0.200819i −0.999966 0.00819841i
\(601\) 30.2446 1.23370 0.616852 0.787079i \(-0.288408\pi\)
0.616852 + 0.787079i \(0.288408\pi\)
\(602\) 0.516815 7.74359i 0.0210638 0.315605i
\(603\) −1.41503 0.437230i −0.0576247 0.0178054i
\(604\) −23.4920 3.14978i −0.955875 0.128163i
\(605\) 6.58648 6.25804i 0.267778 0.254425i
\(606\) −1.48940 8.36449i −0.0605028 0.339784i
\(607\) 26.6799 26.6799i 1.08290 1.08290i 0.0866645 0.996238i \(-0.472379\pi\)
0.996238 0.0866645i \(-0.0276208\pi\)
\(608\) −3.59374 1.24385i −0.145745 0.0504448i
\(609\) −2.17954 + 3.61516i −0.0883194 + 0.146494i
\(610\) −12.2694 14.7697i −0.496772 0.598006i
\(611\) −6.90044 −0.279162
\(612\) −27.8314 12.8642i −1.12502 0.520003i
\(613\) −11.2416 + 11.2416i −0.454046 + 0.454046i −0.896695 0.442649i \(-0.854039\pi\)
0.442649 + 0.896695i \(0.354039\pi\)
\(614\) 10.5469 + 12.0554i 0.425637 + 0.486515i
\(615\) 8.54416 13.3858i 0.344534 0.539769i
\(616\) 3.17847 2.10738i 0.128064 0.0849088i
\(617\) −15.8402 15.8402i −0.637702 0.637702i 0.312286 0.949988i \(-0.398905\pi\)
−0.949988 + 0.312286i \(0.898905\pi\)
\(618\) 17.2210 24.6825i 0.692732 0.992875i
\(619\) 39.2267 1.57665 0.788327 0.615256i \(-0.210948\pi\)
0.788327 + 0.615256i \(0.210948\pi\)
\(620\) −13.5413 + 9.80178i −0.543832 + 0.393649i
\(621\) −31.6832 1.80234i −1.27140 0.0723254i
\(622\) −1.21369 + 18.1851i −0.0486645 + 0.729156i
\(623\) 2.38400 2.38400i 0.0955130 0.0955130i
\(624\) −23.6248 24.7726i −0.945749 0.991696i
\(625\) −24.8694 2.55204i −0.994776 0.102082i
\(626\) −16.1966 18.5132i −0.647346 0.739935i
\(627\) 0.737493 + 2.97679i 0.0294526 + 0.118882i
\(628\) 23.9487 + 31.3652i 0.955658 + 1.25161i
\(629\) 20.3903i 0.813016i
\(630\) −1.86217 4.48540i −0.0741906 0.178703i
\(631\) 9.52029 0.378997 0.189498 0.981881i \(-0.439314\pi\)
0.189498 + 0.981881i \(0.439314\pi\)
\(632\) 2.29016 11.3020i 0.0910977 0.449569i
\(633\) 23.5387 5.83166i 0.935580 0.231788i
\(634\) 13.9112 12.1705i 0.552483 0.483350i
\(635\) −0.799214 + 31.2553i −0.0317158 + 1.24033i
\(636\) −1.98013 + 2.46967i −0.0785174 + 0.0979290i
\(637\) −23.5407 23.5407i −0.932717 0.932717i
\(638\) −1.18088 + 17.6934i −0.0467513 + 0.700489i
\(639\) −12.0963 22.9142i −0.478524 0.906472i
\(640\) 24.2176 7.31497i 0.957284 0.289150i
\(641\) 42.2578i 1.66908i 0.550945 + 0.834541i \(0.314267\pi\)
−0.550945 + 0.834541i \(0.685733\pi\)
\(642\) 8.83447 + 6.16383i 0.348669 + 0.243267i
\(643\) −15.1060 + 15.1060i −0.595722 + 0.595722i −0.939171 0.343449i \(-0.888405\pi\)
0.343449 + 0.939171i \(0.388405\pi\)
\(644\) −0.830963 + 6.19756i −0.0327445 + 0.244218i
\(645\) −40.5409 + 8.95055i −1.59630 + 0.352428i
\(646\) −3.19895 3.65649i −0.125861 0.143863i
\(647\) −11.1088 11.1088i −0.436732 0.436732i 0.454178 0.890911i \(-0.349933\pi\)
−0.890911 + 0.454178i \(0.849933\pi\)
\(648\) −18.2483 + 17.7482i −0.716863 + 0.697215i
\(649\) 12.9648i 0.508912i
\(650\) −21.6307 27.4363i −0.848426 1.07614i
\(651\) −2.83843 1.71126i −0.111247 0.0670695i
\(652\) 14.9817 11.4392i 0.586729 0.447995i
\(653\) 15.4673 + 15.4673i 0.605283 + 0.605283i 0.941710 0.336426i \(-0.109218\pi\)
−0.336426 + 0.941710i \(0.609218\pi\)
\(654\) 1.77912 + 9.99156i 0.0695692 + 0.390701i
\(655\) −14.2564 + 13.5455i −0.557044 + 0.529267i
\(656\) −4.32042 + 15.8218i −0.168684 + 0.617738i
\(657\) 45.9108 + 14.1859i 1.79115 + 0.553445i
\(658\) 1.00886 + 0.0673320i 0.0393293 + 0.00262487i
\(659\) 5.93274i 0.231107i −0.993301 0.115553i \(-0.963136\pi\)
0.993301 0.115553i \(-0.0368641\pi\)
\(660\) −15.5855 13.1645i −0.606664 0.512429i
\(661\) 28.1054i 1.09317i 0.837403 + 0.546586i \(0.184073\pi\)
−0.837403 + 0.546586i \(0.815927\pi\)
\(662\) 2.09406 31.3760i 0.0813881 1.21946i
\(663\) −10.5165 42.4486i −0.408429 1.64857i
\(664\) 18.8742 + 28.4671i 0.732461 + 1.10474i
\(665\) 0.0196714 0.769298i 0.000762823 0.0298321i
\(666\) 15.8057 + 6.06373i 0.612460 + 0.234965i
\(667\) −20.5596 20.5596i −0.796069 0.796069i
\(668\) −26.8553 35.1719i −1.03906 1.36084i
\(669\) 3.24434 5.38133i 0.125433 0.208054i
\(670\) 1.55453 + 0.143746i 0.0600566 + 0.00555339i
\(671\) 15.9922i 0.617370i
\(672\) 3.21227 + 3.85231i 0.123916 + 0.148606i
\(673\) −15.2277 15.2277i −0.586986 0.586986i 0.349828 0.936814i \(-0.386240\pi\)
−0.936814 + 0.349828i \(0.886240\pi\)
\(674\) 13.5276 11.8349i 0.521063 0.455862i
\(675\) −20.2436 + 16.2848i −0.779178 + 0.626803i
\(676\) 3.03327 22.6230i 0.116664 0.870116i
\(677\) 28.2327 28.2327i 1.08507 1.08507i 0.0890415 0.996028i \(-0.471620\pi\)
0.996028 0.0890415i \(-0.0283804\pi\)
\(678\) −12.4511 8.68714i −0.478180 0.333628i
\(679\) 0.478448i 0.0183611i
\(680\) 31.5010 + 7.22608i 1.20801 + 0.277108i
\(681\) 28.0352 + 16.9021i 1.07431 + 0.647691i
\(682\) −13.8919 0.927161i −0.531950 0.0355028i
\(683\) 26.1080 + 26.1080i 0.998996 + 0.998996i 0.999999 0.00100333i \(-0.000319371\pi\)
−0.00100333 + 0.999999i \(0.500319\pi\)
\(684\) −3.78567 + 1.39232i −0.144749 + 0.0532366i
\(685\) 4.70454 + 0.120298i 0.179751 + 0.00459634i
\(686\) 6.54891 + 7.48559i 0.250039 + 0.285801i
\(687\) 6.56460 + 26.4971i 0.250455 + 1.01093i
\(688\) 37.2359 21.2620i 1.41961 0.810607i
\(689\) −4.51498 −0.172007
\(690\) 33.0722 5.02038i 1.25904 0.191123i
\(691\) 9.65683i 0.367363i 0.982986 + 0.183682i \(0.0588015\pi\)
−0.982986 + 0.183682i \(0.941198\pi\)
\(692\) 10.9912 + 14.3949i 0.417822 + 0.547213i
\(693\) 1.19414 3.86468i 0.0453617 0.146807i
\(694\) 13.9310 12.1878i 0.528814 0.462643i
\(695\) 21.5643 20.4890i 0.817982 0.777192i
\(696\) −23.3016 + 1.00098i −0.883244 + 0.0379422i
\(697\) −14.8159 + 14.8159i −0.561191 + 0.561191i
\(698\) 24.8234 + 1.65674i 0.939580 + 0.0627085i
\(699\) −27.3120 16.4661i −1.03303 0.622804i
\(700\) 2.89473 + 4.22230i 0.109411 + 0.159588i
\(701\) −22.2509 −0.840403 −0.420202 0.907431i \(-0.638041\pi\)
−0.420202 + 0.907431i \(0.638041\pi\)
\(702\) −36.0318 4.47149i −1.35993 0.168766i
\(703\) 1.89679 + 1.89679i 0.0715390 + 0.0715390i
\(704\) 19.4083 + 8.20233i 0.731478 + 0.309137i
\(705\) −1.16610 5.28177i −0.0439179 0.198923i
\(706\) −19.5161 + 17.0741i −0.734499 + 0.642591i
\(707\) −1.25556 + 1.25556i −0.0472202 + 0.0472202i
\(708\) −16.9497 + 1.86470i −0.637008 + 0.0700799i
\(709\) −22.1309 −0.831144 −0.415572 0.909560i \(-0.636419\pi\)
−0.415572 + 0.909560i \(0.636419\pi\)
\(710\) 17.4527 + 21.0092i 0.654986 + 0.788461i
\(711\) −5.71003 10.8166i −0.214143 0.405653i
\(712\) 18.2565 + 3.69938i 0.684192 + 0.138640i
\(713\) 16.1423 16.1423i 0.604533 0.604533i
\(714\) 1.12334 + 6.30867i 0.0420399 + 0.236096i
\(715\) 0.743829 29.0893i 0.0278176 1.08788i
\(716\) −0.154823 + 1.15472i −0.00578602 + 0.0431538i
\(717\) 10.3437 + 41.7509i 0.386292 + 1.55922i
\(718\) −23.3172 1.55621i −0.870189 0.0580772i
\(719\) 4.65932 0.173763 0.0868817 0.996219i \(-0.472310\pi\)
0.0868817 + 0.996219i \(0.472310\pi\)
\(720\) 14.9692 22.2693i 0.557869 0.829929i
\(721\) −6.28997 −0.234251
\(722\) 26.1727 + 1.74679i 0.974047 + 0.0650088i
\(723\) 7.20539 + 29.0836i 0.267971 + 1.08163i
\(724\) 0.987182 7.36268i 0.0366883 0.273632i
\(725\) −23.7729 1.21657i −0.882903 0.0451821i
\(726\) 1.74474 + 9.79845i 0.0647532 + 0.363654i
\(727\) −28.8504 + 28.8504i −1.07000 + 1.07000i −0.0726443 + 0.997358i \(0.523144\pi\)
−0.997358 + 0.0726443i \(0.976856\pi\)
\(728\) −1.42081 + 7.01174i −0.0526588 + 0.259872i
\(729\) −3.06195 + 26.8258i −0.113406 + 0.993549i
\(730\) −50.4366 4.66383i −1.86674 0.172616i
\(731\) 54.7787 2.02606
\(732\) 20.9075 2.30013i 0.772765 0.0850151i
\(733\) −23.8359 + 23.8359i −0.880398 + 0.880398i −0.993575 0.113177i \(-0.963897\pi\)
0.113177 + 0.993575i \(0.463897\pi\)
\(734\) 36.8636 32.2508i 1.36066 1.19040i
\(735\) 14.0405 21.9968i 0.517893 0.811364i
\(736\) −31.0758 + 15.0952i −1.14547 + 0.556418i
\(737\) 0.919420 + 0.919420i 0.0338673 + 0.0338673i
\(738\) 7.07867 + 15.8906i 0.260569 + 0.584943i
\(739\) −29.6476 −1.09060 −0.545302 0.838240i \(-0.683585\pi\)
−0.545302 + 0.838240i \(0.683585\pi\)
\(740\) −17.6200 2.82271i −0.647726 0.103765i
\(741\) −4.92704 2.97046i −0.180999 0.109122i
\(742\) 0.660098 + 0.0440556i 0.0242330 + 0.00161733i
\(743\) −8.41878 + 8.41878i −0.308855 + 0.308855i −0.844465 0.535610i \(-0.820082\pi\)
0.535610 + 0.844465i \(0.320082\pi\)
\(744\) −0.785920 18.2952i −0.0288132 0.670733i
\(745\) 8.04699 + 8.46932i 0.294819 + 0.310292i
\(746\) 0.611258 0.534771i 0.0223797 0.0195793i
\(747\) 34.6130 + 10.6950i 1.26642 + 0.391310i
\(748\) 16.3356 + 21.3945i 0.597290 + 0.782259i
\(749\) 2.25134i 0.0822620i
\(750\) 17.3451 21.1931i 0.633352 0.773864i
\(751\) −31.5577 −1.15156 −0.575778 0.817606i \(-0.695301\pi\)
−0.575778 + 0.817606i \(0.695301\pi\)
\(752\) 2.77007 + 4.85119i 0.101014 + 0.176905i
\(753\) 0.437480 + 1.76583i 0.0159426 + 0.0643503i
\(754\) −21.9041 25.0370i −0.797700 0.911793i
\(755\) 19.2111 18.2531i 0.699163 0.664299i
\(756\) 5.22428 + 1.00533i 0.190005 + 0.0365633i
\(757\) −25.5118 25.5118i −0.927244 0.927244i 0.0702832 0.997527i \(-0.477610\pi\)
−0.997527 + 0.0702832i \(0.977610\pi\)
\(758\) 8.08698 + 0.539733i 0.293732 + 0.0196040i
\(759\) 23.8599 + 14.3848i 0.866059 + 0.522137i
\(760\) 3.60255 2.25815i 0.130678 0.0819118i
\(761\) 2.30287i 0.0834789i 0.999129 + 0.0417394i \(0.0132899\pi\)
−0.999129 + 0.0417394i \(0.986710\pi\)
\(762\) −28.0887 19.5975i −1.01754 0.709944i
\(763\) 1.49979 1.49979i 0.0542962 0.0542962i
\(764\) 5.96666 44.5011i 0.215866 1.60999i
\(765\) 30.7141 15.2230i 1.11047 0.550389i
\(766\) 25.9810 22.7300i 0.938733 0.821269i
\(767\) −17.1979 17.1979i −0.620981 0.620981i
\(768\) −7.93195 + 26.5534i −0.286220 + 0.958164i
\(769\) 46.5571i 1.67889i −0.543442 0.839447i \(-0.682879\pi\)
0.543442 0.839447i \(-0.317121\pi\)
\(770\) −0.392592 + 4.24565i −0.0141480 + 0.153003i
\(771\) −2.78633 + 4.62164i −0.100347 + 0.166444i
\(772\) 13.7558 + 18.0157i 0.495082 + 0.648399i
\(773\) −19.2506 19.2506i −0.692397 0.692397i 0.270362 0.962759