Properties

Label 120.2.w.c.53.16
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 53.16
Character \(\chi\) \(=\) 120.53
Dual form 120.2.w.c.77.16

$q$-expansion

\(f(q)\) \(=\) \(q+(1.41107 + 0.0941764i) q^{2} +(-1.68122 - 0.416519i) q^{3} +(1.98226 + 0.265780i) q^{4} +(1.62104 - 1.54020i) q^{5} +(-2.33310 - 0.746071i) q^{6} +(-0.361989 + 0.361989i) q^{7} +(2.77209 + 0.561717i) q^{8} +(2.65302 + 1.40052i) q^{9} +O(q^{10})\) \(q+(1.41107 + 0.0941764i) q^{2} +(-1.68122 - 0.416519i) q^{3} +(1.98226 + 0.265780i) q^{4} +(1.62104 - 1.54020i) q^{5} +(-2.33310 - 0.746071i) 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} +(-3.22192 - 1.27249i) q^{12} +(-3.49376 + 3.49376i) q^{13} +(-0.544885 + 0.476703i) q^{14} +(-3.36685 + 1.91423i) q^{15} +(3.85872 + 1.05369i) q^{16} +(-3.61339 - 3.61339i) q^{17} +(3.61172 + 2.22609i) 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} +(-4.42653 - 2.09900i) q^{24} +(0.255538 - 4.99347i) q^{25} +(-5.25899 + 4.60093i) q^{26} +(-3.87698 - 3.45963i) q^{27} +(-0.813767 + 0.621348i) q^{28} +4.76080i q^{29} +(-4.93116 + 2.38405i) q^{30} +3.73793 q^{31} +(5.34571 + 1.85024i) q^{32} +(4.42800 + 1.09703i) q^{33} +(-4.75847 - 5.43906i) q^{34} +(-0.0292613 + 1.14434i) q^{35} +(4.88676 + 3.48132i) 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} +(1.11463 - 0.574489i) q^{42} +(7.57996 - 7.57996i) q^{43} +(-5.22087 - 0.700010i) q^{44} +(6.45775 - 1.81590i) q^{45} +(-6.50044 + 5.68704i) q^{46} +(-0.987537 - 0.987537i) q^{47} +(-6.04849 - 3.37872i) 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} +(-5.14489 - 5.24691i) q^{54} +(-4.26949 + 4.05659i) q^{55} +(-1.20680 + 0.800131i) q^{56} +(-1.13023 - 0.280012i) q^{57} +(-0.448355 + 6.71784i) q^{58} -4.92247i q^{59} +(-7.18275 + 2.89967i) q^{60} -6.07190i q^{61} +(5.27449 + 0.352025i) q^{62} +(-1.46734 + 0.453392i) q^{63} +(7.36895 + 3.11426i) q^{64} +(-0.282417 + 11.0446i) q^{65} +(6.14492 + 1.96500i) 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} +(6.56772 + 5.37262i) q^{72} +(-11.3261 - 11.3261i) q^{73} +(3.71562 + 4.24706i) q^{74} +(-2.50949 + 8.28869i) q^{75} +(1.33261 + 0.178675i) q^{76} +(0.953406 - 0.953406i) q^{77} +(10.7579 - 5.54472i) 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} +(1.62693 - 0.705675i) q^{84} +(-11.4228 - 0.292087i) q^{85} +(11.4097 - 9.98203i) q^{86} +(1.98296 - 8.00397i) q^{87} +(-7.30111 - 1.47945i) q^{88} +6.58584 q^{89} +(9.28338 - 1.95420i) q^{90} -2.52941i q^{91} +(-9.70819 + 7.41264i) q^{92} +(-6.28429 - 1.55692i) q^{93} +(-1.30049 - 1.48649i) q^{94} +(1.08977 - 1.03543i) q^{95} +(-8.21668 - 5.33725i) 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
\(3\) −1.68122 0.416519i −0.970655 0.240477i
\(4\) 1.98226 + 0.265780i 0.991131 + 0.132890i
\(5\) 1.62104 1.54020i 0.724951 0.688801i
\(6\) −2.33310 0.746071i −0.952486 0.304582i
\(7\) −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 \(-0.629969\pi\)
−0.397060 + 0.917793i \(0.629969\pi\)
\(12\) −3.22192 1.27249i −0.930089 0.367335i
\(13\) −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
\(15\) −3.36685 + 1.91423i −0.869318 + 0.494253i
\(16\) 3.85872 + 1.05369i 0.964681 + 0.263423i
\(17\) −3.61339 3.61339i −0.876376 0.876376i 0.116782 0.993158i \(-0.462742\pi\)
−0.993158 + 0.116782i \(0.962742\pi\)
\(18\) 3.61172 + 2.22609i 0.851290 + 0.524696i
\(19\) 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 −0.995477 0.0950052i \(-0.969713\pi\)
0.0950052 + 0.995477i \(0.469713\pi\)
\(24\) −4.42653 2.09900i −0.903562 0.428457i
\(25\) 0.255538 4.99347i 0.0511076 0.998693i
\(26\) −5.25899 + 4.60093i −1.03137 + 0.902316i
\(27\) −3.87698 3.45963i −0.746125 0.665806i
\(28\) −0.813767 + 0.621348i −0.153787 + 0.117424i
\(29\) 4.76080i 0.884058i 0.897001 + 0.442029i \(0.145741\pi\)
−0.897001 + 0.442029i \(0.854259\pi\)
\(30\) −4.93116 + 2.38405i −0.900302 + 0.435266i
\(31\) 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
\(33\) 4.42800 + 1.09703i 0.770816 + 0.190968i
\(34\) −4.75847 5.43906i −0.816070 0.932791i
\(35\) −0.0292613 + 1.14434i −0.00494606 + 0.193428i
\(36\) 4.88676 + 3.48132i 0.814459 + 0.580221i
\(37\) 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 \(-0.896257\pi\)
0.947358 0.320177i \(-0.103743\pi\)
\(42\) 1.11463 0.574489i 0.171991 0.0886456i
\(43\) 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
\(45\) 6.45775 1.81590i 0.962664 0.270698i
\(46\) −6.50044 + 5.68704i −0.958438 + 0.838508i
\(47\) −0.987537 0.987537i −0.144047 0.144047i 0.631406 0.775453i \(-0.282478\pi\)
−0.775453 + 0.631406i \(0.782478\pi\)
\(48\) −6.04849 3.37872i −0.873025 0.487676i
\(49\) 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 0.661335 0.750091i \(-0.269990\pi\)
−0.750091 + 0.661335i \(0.769990\pi\)
\(54\) −5.14489 5.24691i −0.700131 0.714014i
\(55\) −4.26949 + 4.05659i −0.575698 + 0.546990i
\(56\) −1.20680 + 0.800131i −0.161266 + 0.106922i
\(57\) −1.13023 0.280012i −0.149702 0.0370884i
\(58\) −0.448355 + 6.71784i −0.0588719 + 0.882096i
\(59\) 4.92247i 0.640851i −0.947274 0.320425i \(-0.896174\pi\)
0.947274 0.320425i \(-0.103826\pi\)
\(60\) −7.18275 + 2.89967i −0.927289 + 0.374346i
\(61\) 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
\(63\) −1.46734 + 0.453392i −0.184868 + 0.0571220i
\(64\) 7.36895 + 3.11426i 0.921118 + 0.389283i
\(65\) −0.282417 + 11.0446i −0.0350295 + 1.36992i
\(66\) 6.14492 + 1.96500i 0.756388 + 0.241875i
\(67\) 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 \(-0.828715\pi\)
0.858680 0.512513i \(-0.171285\pi\)
\(72\) 6.56772 + 5.37262i 0.774013 + 0.633170i
\(73\) −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
\(75\) −2.50949 + 8.28869i −0.289771 + 0.957096i
\(76\) 1.33261 + 0.178675i 0.152860 + 0.0204954i
\(77\) 0.953406 0.953406i 0.108651 0.108651i
\(78\) 10.7579 5.54472i 1.21809 0.627816i
\(79\) 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 0.998145 0.0608758i \(-0.0193894\pi\)
−0.0608758 + 0.998145i \(0.519389\pi\)
\(84\) 1.62693 0.705675i 0.177512 0.0769955i
\(85\) −11.4228 0.292087i −1.23898 0.0316813i
\(86\) 11.4097 9.98203i 1.23034 1.07639i
\(87\) 1.98296 8.00397i 0.212596 0.858115i
\(88\) −7.30111 1.47945i −0.778301 0.157710i
\(89\) 6.58584 0.698097 0.349049 0.937105i \(-0.386505\pi\)
0.349049 + 0.937105i \(0.386505\pi\)
\(90\) 9.28338 1.95420i 0.978554 0.205990i
\(91\) 2.52941i 0.265154i
\(92\) −9.70819 + 7.41264i −1.01215 + 0.772822i
\(93\) −6.28429 1.55692i −0.651651 0.161445i
\(94\) −1.30049 1.48649i −0.134135 0.153320i
\(95\) 1.08977 1.03543i 0.111808 0.106233i
\(96\) −8.21668 5.33725i −0.838611 0.544731i
\(97\) −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 \(-0.555205\pi\)
−0.172564 + 0.984998i \(0.555205\pi\)
\(102\) 5.73457 + 11.1263i 0.567807 + 1.10166i
\(103\) 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
\(105\) 0.525833 1.91170i 0.0513160 0.186563i
\(106\) −0.850913 0.972617i −0.0826480 0.0944689i
\(107\) 3.10967 3.10967i 0.300623 0.300623i −0.540634 0.841258i \(-0.681816\pi\)
0.841258 + 0.540634i \(0.181816\pi\)
\(108\) −6.76569 7.88831i −0.651029 0.759053i
\(109\) −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 −0.882535 0.470247i \(-0.844165\pi\)
0.470247 + 0.882535i \(0.344165\pi\)
\(114\) −1.56847 0.501558i −0.146900 0.0469752i
\(115\) −0.349085 + 13.6519i −0.0325524 + 1.27304i
\(116\) −1.26532 + 9.43715i −0.117482 + 0.876217i
\(117\) −14.1621 + 4.37594i −1.30929 + 0.404555i
\(118\) 0.463580 6.94597i 0.0426760 0.639428i
\(119\) 2.61602 0.239810
\(120\) −10.4085 + 3.41521i −0.950160 + 0.311764i
\(121\) −4.06312 −0.369374
\(122\) 0.571830 8.56791i 0.0517711 0.775702i
\(123\) −1.70784 + 6.89347i −0.153991 + 0.621563i
\(124\) 7.40955 + 0.993466i 0.665397 + 0.0892159i
\(125\) −7.27672 8.48819i −0.650850 0.759206i
\(126\) −2.11323 + 0.501580i −0.188261 + 0.0446843i
\(127\) 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 \(-0.625521\pi\)
−0.384195 + 0.923252i \(0.625521\pi\)
\(132\) 8.48588 + 3.35147i 0.738601 + 0.291708i
\(133\) −0.243353 + 0.243353i −0.0211014 + 0.0211014i
\(134\) 0.459710 + 0.525461i 0.0397129 + 0.0453929i
\(135\) −11.6133 + 0.363150i −0.999511 + 0.0312550i
\(136\) −7.98693 12.0463i −0.684874 1.03297i
\(137\) 1.48819 + 1.48819i 0.127145 + 0.127145i 0.767816 0.640671i \(-0.221344\pi\)
−0.640671 + 0.767816i \(0.721344\pi\)
\(138\) 13.2975 6.85362i 1.13195 0.583419i
\(139\) −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
\(144\) 8.76156 + 8.19970i 0.730130 + 0.683308i
\(145\) 7.33261 + 7.71744i 0.608940 + 0.640899i
\(146\) −14.9153 17.0486i −1.23440 1.41095i
\(147\) 2.80648 11.3280i 0.231474 0.934314i
\(148\) 4.84305 + 6.34284i 0.398096 + 0.521378i
\(149\) 5.22462i 0.428018i 0.976832 + 0.214009i \(0.0686522\pi\)
−0.976832 + 0.214009i \(0.931348\pi\)
\(150\) −4.32168 + 11.4596i −0.352864 + 0.935675i
\(151\) −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
\(153\) −4.52577 14.6470i −0.365887 1.18414i
\(154\) 1.43511 1.25554i 0.115645 0.101174i
\(155\) 6.05933 5.75717i 0.486697 0.462427i
\(156\) 15.7024 6.81087i 1.25720 0.545306i
\(157\) 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
\(162\) 6.46427 + 10.9642i 0.507881 + 0.861427i
\(163\) 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
\(165\) 8.86761 5.04170i 0.690342 0.392496i
\(166\) 11.2449 + 12.8532i 0.872774 + 0.997604i
\(167\) 15.6456 + 15.6456i 1.21069 + 1.21069i 0.970800 + 0.239890i \(0.0771113\pi\)
0.239890 + 0.970800i \(0.422889\pi\)
\(168\) 2.36217 0.842542i 0.182246 0.0650035i
\(169\) 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 0.420471 0.907306i \(-0.361865\pi\)
−0.907306 + 0.420471i \(0.861865\pi\)
\(174\) 3.55189 11.1074i 0.269268 0.842053i
\(175\) 1.71508 + 1.90008i 0.129648 + 0.143633i
\(176\) −10.1631 2.77521i −0.766071 0.209189i
\(177\) −2.05030 + 8.27577i −0.154110 + 0.622045i
\(178\) 9.29311 + 0.620231i 0.696548 + 0.0464882i
\(179\) 0.582525i 0.0435399i −0.999763 0.0217700i \(-0.993070\pi\)
0.999763 0.0217700i \(-0.00693014\pi\)
\(180\) 13.2836 1.88324i 0.990099 0.140369i
\(181\) 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
\(183\) −2.52906 + 10.2082i −0.186954 + 0.754614i
\(184\) −14.3971 + 9.54551i −1.06137 + 0.703704i
\(185\) 8.91944 + 0.228075i 0.655770 + 0.0167684i
\(186\) −8.72098 2.78876i −0.639453 0.204482i
\(187\) 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 \(0.301730\pi\)
−0.583380 + 0.812199i \(0.698270\pi\)
\(192\) −11.0917 8.30507i −0.800474 0.599367i
\(193\) 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
\(195\) 5.07511 18.4509i 0.363436 1.32129i
\(196\) −1.79081 + 13.3563i −0.127915 + 0.954024i
\(197\) 1.49806 1.49806i 0.106733 0.106733i −0.651724 0.758456i \(-0.725954\pi\)
0.758456 + 0.651724i \(0.225954\pi\)
\(198\) −9.51253 5.86308i −0.676026 0.416671i
\(199\) 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
\(204\) 7.04407 + 16.2400i 0.493184 + 1.13703i
\(205\) −6.31526 6.64670i −0.441077 0.464226i
\(206\) 11.4413 + 13.0777i 0.797152 + 0.911167i
\(207\) −17.5053 + 5.40893i −1.21670 + 0.375947i
\(208\) −17.1628 + 9.80011i −1.19003 + 0.679515i
\(209\) −1.77061 −0.122476
\(210\) 0.922026 2.64803i 0.0636258 0.182731i
\(211\) 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
\(213\) −3.59748 + 14.5208i −0.246496 + 0.994946i
\(214\) 4.68083 4.09512i 0.319975 0.279937i
\(215\) 0.612724 23.9621i 0.0417874 1.63420i
\(216\) −8.80400 11.7682i −0.599036 0.800722i
\(217\) −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
\(222\) −4.47781 8.68788i −0.300531 0.583092i
\(223\) −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
\(225\) 7.67141 12.8899i 0.511428 0.859326i
\(226\) −6.59704 + 5.77155i −0.438829 + 0.383918i
\(227\) −13.3645 + 13.3645i −0.887032 + 0.887032i −0.994237 0.107205i \(-0.965810\pi\)
0.107205 + 0.994237i \(0.465810\pi\)
\(228\) −2.16599 0.855448i −0.143446 0.0566534i
\(229\) 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 −0.137546 0.990495i \(-0.543921\pi\)
0.990495 + 0.137546i \(0.0439215\pi\)
\(234\) −20.3959 + 4.84103i −1.33332 + 0.316468i
\(235\) −3.12185 0.0798273i −0.203647 0.00520736i
\(236\) 1.30829 9.75762i 0.0851626 0.635167i
\(237\) 1.69818 6.85446i 0.110308 0.445245i
\(238\) 3.69139 + 0.246367i 0.239278 + 0.0159696i
\(239\) −24.8336 −1.60635 −0.803177 0.595740i \(-0.796859\pi\)
−0.803177 + 0.595740i \(0.796859\pi\)
\(240\) −15.0088 + 3.83888i −0.968812 + 0.247798i
\(241\) 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
\(243\) −5.44043 14.6083i −0.349004 0.937121i
\(244\) 1.61379 12.0361i 0.103312 0.770532i
\(245\) 10.3778 + 10.9224i 0.663013 + 0.697810i
\(246\) −3.05909 + 9.56636i −0.195041 + 0.609929i
\(247\) −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 \(-0.510553\pi\)
−0.0331479 + 0.999450i \(0.510553\pi\)
\(252\) −3.02916 + 0.508751i −0.190819 + 0.0320483i
\(253\) 11.3741 11.3741i 0.715082 0.715082i
\(254\) 14.8824 13.0202i 0.933807 0.816959i
\(255\) 19.0826 + 5.24888i 1.19500 + 0.328698i
\(256\) 13.7795 + 8.13180i 0.861217 + 0.508237i
\(257\) −2.20315 2.20315i −0.137429 0.137429i 0.635046 0.772474i \(-0.280981\pi\)
−0.772474 + 0.635046i \(0.780981\pi\)
\(258\) −23.3400 + 12.0297i −1.45309 + 0.748934i
\(259\) −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 −0.899451 0.437021i \(-0.856034\pi\)
0.437021 + 0.899451i \(0.356034\pi\)
\(264\) 11.6586 + 5.52834i 0.717536 + 0.340246i
\(265\) −2.04264 0.0522313i −0.125478 0.00320854i
\(266\) −0.366307 + 0.320471i −0.0224597 + 0.0196493i
\(267\) −11.0723 2.74313i −0.677611 0.167877i
\(268\) 0.599199 + 0.784759i 0.0366019 + 0.0479368i
\(269\) 21.1993i 1.29254i 0.763108 + 0.646271i \(0.223673\pi\)
−0.763108 + 0.646271i \(0.776327\pi\)
\(270\) −16.4214 0.581264i −0.999374 0.0353746i
\(271\) −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
\(273\) −1.05355 + 4.25250i −0.0637636 + 0.257373i
\(274\) 1.95980 + 2.24010i 0.118396 + 0.135330i
\(275\) −0.673036 + 13.1518i −0.0405856 + 0.793082i
\(276\) 19.4091 8.41866i 1.16829 0.506744i
\(277\) −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 \(0.00466021\pi\)
−0.999893 + 0.0146399i \(0.995340\pi\)
\(282\) 1.56726 + 3.04080i 0.0933287 + 0.181077i
\(283\) −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
\(285\) −2.26342 + 1.28687i −0.134073 + 0.0762278i
\(286\) 13.8511 12.1179i 0.819033 0.716547i
\(287\) 1.48425 + 1.48425i 0.0876127 + 0.0876127i
\(288\) 11.5910 + 12.3955i 0.683006 + 0.730413i
\(289\) 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 0.580096 0.814548i \(-0.303015\pi\)
−0.814548 + 0.580096i \(0.803015\pi\)
\(294\) 5.02697 15.7203i 0.293179 0.916826i
\(295\) −7.58161 7.97952i −0.441418 0.464585i
\(296\) 6.23655 + 9.40632i 0.362492 + 0.546731i
\(297\) 10.2112 + 9.11195i 0.592512 + 0.528729i
\(298\) −0.492036 + 7.37233i −0.0285029 + 0.427068i
\(299\) 30.1757i 1.74510i
\(300\) −7.17744 + 15.7634i −0.414389 + 0.910100i
\(301\) 5.48773i 0.316307i
\(302\) −16.7228 1.11609i −0.962288 0.0642240i
\(303\) 5.83132 + 1.44470i 0.335001 + 0.0829957i
\(304\) 2.59409 + 0.708360i 0.148781 + 0.0406272i
\(305\) −9.35198 9.84280i −0.535493 0.563597i
\(306\) −5.00679 21.0943i −0.286219 1.20588i
\(307\) −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 \(0.119064\pi\)
−0.930855 + 0.365389i \(0.880936\pi\)
\(312\) 22.7987 8.13185i 1.29072 0.460375i
\(313\) 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
\(315\) −1.68030 + 2.99497i −0.0946742 + 0.168747i
\(316\) −1.08360 + 8.08182i −0.0609574 + 0.454638i
\(317\) 9.24176 9.24176i 0.519069 0.519069i −0.398221 0.917290i \(-0.630372\pi\)
0.917290 + 0.398221i \(0.130372\pi\)
\(318\) 1.02546 + 1.98961i 0.0575050 + 0.111572i
\(319\) 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
\(324\) 8.08900 + 16.0801i 0.449389 + 0.893336i
\(325\) 16.5532 + 18.3388i 0.918206 + 1.01725i
\(326\) 10.0315 8.77626i 0.555594 0.486072i
\(327\) 6.96564 + 1.72572i 0.385201 + 0.0954326i
\(328\) 2.30319 11.3663i 0.127173 0.627600i
\(329\) 0.714956 0.0394168
\(330\) 12.9877 6.27910i 0.714947 0.345653i
\(331\) 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
\(333\) 3.53392 + 11.4371i 0.193658 + 0.626747i
\(334\) 20.6036 + 23.5505i 1.12738 + 1.28863i
\(335\) 1.10354 + 0.0282182i 0.0602931 + 0.00154173i
\(336\) 3.41255 0.966428i 0.186170 0.0527230i
\(337\) −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
\(342\) 2.42803 + 1.49653i 0.131293 + 0.0809229i
\(343\) −4.97298 4.97298i −0.268516 0.268516i
\(344\) 25.2701 16.7545i 1.36247 0.903343i
\(345\) 6.27315 22.8064i 0.337735 1.22786i
\(346\) −8.43252 9.63861i −0.453335 0.518175i
\(347\) 9.25494 9.25494i 0.496831 0.496831i −0.413619 0.910450i \(-0.635735\pi\)
0.910450 + 0.413619i \(0.135735\pi\)
\(348\) 6.05805 15.3389i 0.324745 0.822253i
\(349\) −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 −0.962249 0.272172i \(-0.912258\pi\)
0.272172 + 0.962249i \(0.412258\pi\)
\(354\) −3.67251 + 11.4846i −0.195192 + 0.610402i
\(355\) −13.3028 14.0010i −0.706038 0.743093i
\(356\) 13.0549 + 1.75038i 0.691906 + 0.0927701i
\(357\) −4.39811 1.08962i −0.232773 0.0576689i
\(358\) 0.0548601 0.821985i 0.00289945 0.0434433i
\(359\) −16.5244 −0.872125 −0.436063 0.899916i \(-0.643627\pi\)
−0.436063 + 0.899916i \(0.643627\pi\)
\(360\) 18.9215 1.40639i 0.997249 0.0741235i
\(361\) −18.5481 −0.976214
\(362\) 0.349798 5.24113i 0.0183850 0.275468i
\(363\) 6.83101 + 1.69237i 0.358535 + 0.0888262i
\(364\) 0.672266 5.01395i 0.0352363 0.262802i
\(365\) −35.8045 0.915540i −1.87409 0.0479215i
\(366\) −4.53007 + 14.1664i −0.236791 + 0.740489i
\(367\) −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
\(372\) −12.0433 4.75646i −0.624417 0.246611i
\(373\) −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
\(375\) 8.69830 + 17.3014i 0.449178 + 0.893442i
\(376\) −2.18282 3.29226i −0.112571 0.169785i
\(377\) −16.6331 16.6331i −0.856648 0.856648i
\(378\) 3.76172 + 0.0369302i 0.193482 + 0.00189948i
\(379\) −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 −0.111775 0.993734i \(-0.535654\pi\)
0.993734 + 0.111775i \(0.0356537\pi\)
\(384\) −14.8691 12.7637i −0.758784 0.651342i
\(385\) 0.0770683 3.01395i 0.00392776 0.153605i
\(386\) 10.5536 + 12.0630i 0.537162 + 0.613991i
\(387\) 30.7257 9.49390i 1.56188 0.482602i
\(388\) −1.48564 + 1.13435i −0.0754219 + 0.0575880i
\(389\) 27.9300i 1.41611i −0.706159 0.708053i \(-0.749574\pi\)
0.706159 0.708053i \(-0.250426\pi\)
\(390\) 8.89899 25.5576i 0.450618 1.29416i
\(391\) 31.2089 1.57830
\(392\) −3.78481 + 18.6781i −0.191162 + 0.943388i
\(393\) 14.7857 + 3.66313i 0.745841 + 0.184780i
\(394\) 2.25496 1.97280i 0.113603 0.0993881i
\(395\) 6.27952 + 6.60909i 0.315957 + 0.332539i
\(396\) −12.8707 9.16910i −0.646778 0.460764i
\(397\) −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 \(0.0906578\pi\)
−0.959715 + 0.280975i \(0.909342\pi\)
\(402\) −0.554010 1.07490i −0.0276315 0.0536109i
\(403\) −13.0594 + 13.0594i −0.650536 + 0.650536i
\(404\) −6.87548 0.921858i −0.342068 0.0458641i
\(405\) 19.6758 + 4.22661i 0.977697 + 0.210022i
\(406\) −2.26949 2.59409i −0.112633 0.128742i
\(407\) −7.43124 7.43124i −0.368353 0.368353i
\(408\) 8.41028 + 23.5793i 0.416371 + 1.16735i
\(409\) 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
\(414\) −25.2106 + 5.98382i −1.23904 + 0.294089i
\(415\) 26.9937 + 0.690242i 1.32507 + 0.0338826i
\(416\) −25.1409 + 12.2124i −1.23264 + 0.598760i
\(417\) 22.3649 + 5.54086i 1.09522 + 0.271337i
\(418\) −2.49846 0.166750i −0.122204 0.00815600i
\(419\) 25.1822i 1.23023i 0.788436 + 0.615116i \(0.210891\pi\)
−0.788436 + 0.615116i \(0.789109\pi\)
\(420\) 1.55043 3.64973i 0.0756532 0.178089i
\(421\) 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
\(423\) −1.23689 4.00303i −0.0601397 0.194634i
\(424\) −1.42823 2.15414i −0.0693610 0.104614i
\(425\) −18.9667 + 17.1200i −0.920020 + 0.830441i
\(426\) −6.44383 + 20.1511i −0.312205 + 0.976323i
\(427\) 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 \(-0.893713\pi\)
0.944768 0.327741i \(-0.106287\pi\)
\(432\) −11.3148 17.4349i −0.544384 0.838836i
\(433\) 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
\(435\) −9.11329 16.0289i −0.436949 0.768528i
\(436\) −8.21290 1.10118i −0.393327 0.0527369i
\(437\) −2.90319 + 2.90319i −0.138878 + 0.138878i
\(438\) 17.9749 + 34.8750i 0.858872 + 1.66639i
\(439\) 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 0.618139 0.786069i \(-0.287887\pi\)
−0.786069 + 0.618139i \(0.787887\pi\)
\(444\) −5.50033 12.6809i −0.261034 0.601811i
\(445\) 10.6759 10.1435i 0.506086 0.480850i
\(446\) −3.37823 3.86141i −0.159964 0.182843i
\(447\) 2.17616 8.78376i 0.102929 0.415458i
\(448\) −3.79481 + 1.54015i −0.179288 + 0.0727653i
\(449\) 21.1895 0.999995 0.499998 0.866027i \(-0.333334\pi\)
0.499998 + 0.866027i \(0.333334\pi\)
\(450\) 12.0389 17.4661i 0.567517 0.823361i
\(451\) 10.7993i 0.508518i
\(452\) −9.85246 + 7.52280i −0.463421 + 0.353843i
\(453\) 19.9243 + 4.93621i 0.936127 + 0.231923i
\(454\) −20.1169 + 17.5997i −0.944133 + 0.825993i
\(455\) −3.89581 4.10027i −0.182638 0.192224i
\(456\) −2.97581 1.41109i −0.139355 0.0660802i
\(457\) 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 \(-0.473366\pi\)
0.0835749 + 0.996502i \(0.473366\pi\)
\(462\) −2.93570 + 1.51309i −0.136581 + 0.0703952i
\(463\) −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
\(465\) −12.5851 + 7.15527i −0.583618 + 0.331818i
\(466\) 19.5979 17.1456i 0.907856 0.794256i
\(467\) −21.1839 + 21.1839i −0.980274 + 0.980274i −0.999809 0.0195348i \(-0.993781\pi\)
0.0195348 + 0.999809i \(0.493781\pi\)
\(468\) −29.2361 + 4.91024i −1.35144 + 0.226976i
\(469\) −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
\(474\) 3.04178 9.51223i 0.139714 0.436911i
\(475\) 0.171790 3.35694i 0.00788225 0.154027i
\(476\) 5.18563 + 0.695284i 0.237683 + 0.0318683i
\(477\) −0.809302 2.61920i −0.0370554 0.119925i
\(478\) −35.0421 2.33874i −1.60279 0.106972i
\(479\) 2.58847 0.118270 0.0591350 0.998250i \(-0.481166\pi\)
0.0591350 + 0.998250i \(0.481166\pi\)
\(480\) −21.5400 + 4.00347i −0.983163 + 0.182732i
\(481\) −19.7153 −0.898939
\(482\) 24.4103 + 1.62916i 1.11186 + 0.0742063i
\(483\) −1.30225 + 5.25636i −0.0592545 + 0.239173i
\(484\) −8.05417 1.07990i −0.366098 0.0490861i
\(485\) −0.0534204 + 2.08914i −0.00242569 + 0.0948628i
\(486\) −6.30110 21.1257i −0.285824 0.958282i
\(487\) 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 \(-0.305985\pi\)
0.572472 + 0.819924i \(0.305985\pi\)
\(492\) −5.21753 + 13.2108i −0.235225 + 0.595587i
\(493\) 17.2026 17.2026i 0.774767 0.774767i
\(494\) −3.53544 + 3.09305i −0.159067 + 0.139163i
\(495\) −17.0084 + 4.78270i −0.764470 + 0.214966i
\(496\) 14.4236 + 3.93862i 0.647640 + 0.176849i
\(497\) 3.12651 + 3.12651i 0.140243 + 0.140243i
\(498\) −13.5516 26.2929i −0.607261 1.17821i
\(499\) 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 −0.574566 0.818458i \(-0.694829\pi\)
0.818458 + 0.574566i \(0.194829\pi\)
\(504\) −4.32228 + 0.432611i −0.192529 + 0.0192700i
\(505\) −5.62258 + 5.34220i −0.250201 + 0.237725i
\(506\) 17.1208 14.9785i 0.761114 0.665875i
\(507\) −4.75362 + 19.1874i −0.211116 + 0.852140i
\(508\) 22.2264 16.9709i 0.986138 0.752961i
\(509\) 21.6722i 0.960605i 0.877103 + 0.480303i \(0.159473\pi\)
−0.877103 + 0.480303i \(0.840527\pi\)
\(510\) 26.4327 + 9.20370i 1.17046 + 0.407547i
\(511\) 8.19983 0.362739
\(512\) 18.6780 + 12.7723i 0.825460 + 0.564460i
\(513\) −2.60636 2.32579i −0.115074 0.102686i
\(514\) −2.90132 3.31629i −0.127972 0.146275i
\(515\) 27.4651 + 0.702297i 1.21026 + 0.0309469i
\(516\) −34.0674 + 14.7767i −1.49974 + 0.650506i
\(517\) 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 \(-0.907911\pi\)
0.958442 0.285288i \(-0.0920893\pi\)
\(522\) −10.5980 + 17.1947i −0.463861 + 0.752590i
\(523\) −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
\(525\) −2.09201 3.90883i −0.0913028 0.170595i
\(526\) −11.2884 + 9.87589i −0.492198 + 0.430609i
\(527\) −13.5066 13.5066i −0.588356 0.588356i
\(528\) 15.9305 + 8.89886i 0.693286 + 0.387273i
\(529\) 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
\(534\) −15.3654 4.91350i −0.664928 0.212628i
\(535\) 0.251369 9.83043i 0.0108676 0.425007i
\(536\) 0.771608 + 1.16378i 0.0333284 + 0.0502678i
\(537\) −0.242633 + 0.979354i −0.0104704 + 0.0422622i
\(538\) −1.99647 + 29.9137i −0.0860740 + 1.28967i
\(539\) 17.7463i 0.764388i
\(540\) −23.1171 2.36671i −0.994800 0.101847i
\(541\) 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
\(543\) −1.54707 + 6.24454i −0.0663912 + 0.267979i
\(544\) −12.6305 26.0018i −0.541529 1.11482i
\(545\) −6.71629 + 6.38137i −0.287694 + 0.273348i
\(546\) −1.88712 + 5.90137i −0.0807612 + 0.252556i
\(547\) 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
\(552\) 28.1806 10.0515i 1.19945 0.427819i
\(553\) −1.47586 1.47586i −0.0627597 0.0627597i
\(554\) −11.5833 13.2401i −0.492129 0.562517i
\(555\) −14.9006 4.09856i −0.632494 0.173974i
\(556\) −26.3696 3.53561i −1.11832 0.149943i
\(557\) 15.9467 15.9467i 0.675684 0.675684i −0.283337 0.959020i \(-0.591441\pi\)
0.959020 + 0.283337i \(0.0914414\pi\)
\(558\) 13.5003 + 8.32098i 0.571515 + 0.352255i
\(559\) 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 0.657438 0.753509i \(-0.271640\pi\)
−0.753509 + 0.657438i \(0.771640\pi\)
\(564\) 1.92514 + 4.43839i 0.0810631 + 0.186890i
\(565\) −0.354273 + 13.8547i −0.0149044 + 0.582874i
\(566\) −14.2052 + 12.4277i −0.597089 + 0.522375i
\(567\) −4.52787 0.852186i −0.190153 0.0357885i
\(568\) 4.85156 23.9426i 0.203567 1.00461i
\(569\) 38.0835 1.59654 0.798272 0.602297i \(-0.205748\pi\)
0.798272 + 0.602297i \(0.205748\pi\)
\(570\) −3.31505 + 1.60271i −0.138852 + 0.0671303i
\(571\) 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
\(573\) 9.35070 37.7429i 0.390631 1.57673i
\(574\) 1.95461 + 2.23417i 0.0815839 + 0.0932526i
\(575\) 20.4608 + 22.6679i 0.853274 + 0.945316i
\(576\) 15.1884 + 18.5826i 0.632850 + 0.774275i
\(577\) 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
\(582\) 2.03490 1.04881i 0.0843494 0.0434744i
\(583\) 1.70183 + 1.70183i 0.0704824 + 0.0704824i
\(584\) −25.0348 37.7589i −1.03595 1.56248i
\(585\) −16.2175 + 28.9061i −0.670512 + 1.19512i
\(586\) −5.28492 6.04081i −0.218318 0.249544i
\(587\) −8.03380 + 8.03380i −0.331590 + 0.331590i −0.853190 0.521600i \(-0.825335\pi\)
0.521600 + 0.853190i \(0.325335\pi\)
\(588\) 8.57391 21.7091i 0.353582 0.895267i
\(589\) 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 −0.306688 0.951810i \(-0.599221\pi\)
0.951810 + 0.306688i \(0.0992209\pi\)
\(594\) 13.5506 + 13.8193i 0.555988 + 0.567013i
\(595\) 4.24067 4.02920i 0.173850 0.165181i
\(596\) −1.38860 + 10.3566i −0.0568793 + 0.424222i
\(597\) −5.25482 + 21.2104i −0.215066 + 0.868083i
\(598\) 2.84184 42.5801i 0.116211 1.74123i
\(599\) 16.2242 0.662902 0.331451 0.943473i \(-0.392462\pi\)
0.331451 + 0.943473i \(0.392462\pi\)
\(600\) −11.6124 + 21.5674i −0.474076 + 0.880484i
\(601\) 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
\(603\) 0.437230 + 1.41503i 0.0178054 + 0.0576247i
\(604\) −23.4920 3.14978i −0.955875 0.128163i
\(605\) −6.58648 + 6.25804i −0.267778 + 0.254425i
\(606\) 8.09238 + 2.58775i 0.328730 + 0.105120i
\(607\) 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
\(612\) −5.07837 30.2371i −0.205281 1.22226i
\(613\) −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
\(615\) 7.84888 + 13.8050i 0.316497 + 0.556672i
\(616\) 3.17847 2.10738i 0.128064 0.0849088i
\(617\) 15.8402 + 15.8402i 0.637702 + 0.637702i 0.949988 0.312286i \(-0.101095\pi\)
−0.312286 + 0.949988i \(0.601095\pi\)
\(618\) −13.7882 26.7521i −0.554645 1.07613i
\(619\) 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
\(624\) 32.9364 9.32754i 1.31851 0.373401i
\(625\) −24.8694 2.55204i −0.994776 0.102082i
\(626\) 16.1966 + 18.5132i 0.647346 + 0.739935i
\(627\) 2.97679 + 0.737493i 0.118882 + 0.0294526i
\(628\) 23.9487 + 31.3652i 0.955658 + 1.25161i
\(629\) 20.3903i 0.813016i
\(630\) −2.65309 + 4.06788i −0.105701 + 0.162068i
\(631\) 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
\(633\) −5.83166 + 23.5387i −0.231788 + 0.935580i
\(634\) 13.9112 12.1705i 0.552483 0.483350i
\(635\) 0.799214 31.2553i 0.0317158 1.24033i
\(636\) 1.25963 + 2.90406i 0.0499475 + 0.115153i
\(637\) −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 \(-0.685733\pi\)
0.550945 0.834541i \(-0.314267\pi\)
\(642\) −9.57522 + 4.93515i −0.377904 + 0.194775i
\(643\) −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
\(645\) −11.0108 + 40.0304i −0.433550 + 1.57620i
\(646\) −3.19895 3.65649i −0.125861 0.143863i
\(647\) 11.1088 + 11.1088i 0.436732 + 0.436732i 0.890911 0.454178i \(-0.150067\pi\)
−0.454178 + 0.890911i \(0.650067\pi\)
\(648\) 9.89982 + 23.4519i 0.388902 + 0.921279i
\(649\) 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 0.336426 0.941710i \(-0.390782\pi\)
−0.941710 + 0.336426i \(0.890782\pi\)
\(654\) 9.66651 + 3.09112i 0.377991 + 0.120872i
\(655\) −14.2564 + 13.5455i −0.557044 + 0.529267i
\(656\) 4.32042 15.8218i 0.168684 0.617738i
\(657\) −14.1859 45.9108i −0.553445 1.79115i
\(658\) 1.00886 + 0.0673320i 0.0393293 + 0.00262487i
\(659\) 5.93274i 0.231107i 0.993301 + 0.115553i \(0.0368641\pi\)
−0.993301 + 0.115553i \(0.963136\pi\)
\(660\) 18.9179 7.63714i 0.736378 0.297275i
\(661\) 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
\(663\) −42.4486 10.5165i −1.64857 0.408429i
\(664\) 18.8742 + 28.4671i 0.732461 + 1.10474i
\(665\) −0.0196714 + 0.769298i −0.000762823 + 0.0298321i
\(666\) 3.90953 + 16.4714i 0.151491 + 0.638252i
\(667\) −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
\(672\) 4.90638 1.04232i 0.189268 0.0402084i
\(673\) −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
\(675\) −18.2662 + 18.4755i −0.703068 + 0.711122i
\(676\) 3.03327 22.6230i 0.116664 0.870116i
\(677\) −28.2327 + 28.2327i −1.08507 + 1.08507i −0.0890415 + 0.996028i \(0.528380\pi\)
−0.996028 + 0.0890415i \(0.971620\pi\)
\(678\) 13.4951 6.95547i 0.518275 0.267123i
\(679\) 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 0.00100333 0.999999i \(-0.499681\pi\)
−0.999999 + 0.00100333i \(0.999681\pi\)
\(684\) 3.28520 + 2.34037i 0.125613 + 0.0894865i
\(685\) 4.70454 + 0.120298i 0.179751 + 0.00459634i
\(686\) −6.54891 7.48559i −0.250039 0.285801i
\(687\) −26.4971 6.56460i −1.01093 0.250455i
\(688\) 37.2359 21.2620i 1.41961 0.810607i
\(689\) 4.51498 0.172007
\(690\) 10.9997 31.5908i 0.418752 1.20264i
\(691\) 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
\(693\) 3.86468 1.19414i 0.146807 0.0453617i
\(694\) 13.9310 12.1878i 0.528814 0.462643i
\(695\) −21.5643 + 20.4890i −0.817982 + 0.777192i
\(696\) 9.99292 21.0738i 0.378781 0.798802i
\(697\) −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 \(-0.361959\pi\)
0.420202 + 0.907431i \(0.361959\pi\)
\(702\) 36.3065 + 0.356434i 1.37030 + 0.0134527i
\(703\) 1.89679 + 1.89679i 0.0715390 + 0.0715390i
\(704\) −19.4083 8.20233i −0.731478 0.309137i
\(705\) 5.21527 + 1.43452i 0.196419 + 0.0540270i
\(706\) −19.5161 + 17.0741i −0.734499 + 0.642591i
\(707\) 1.25556 1.25556i 0.0472202 0.0472202i
\(708\) −6.26377 + 15.8598i −0.235407 + 0.596048i
\(709\) −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
\(714\) −6.10344 1.95173i −0.228416 0.0730418i
\(715\) 0.743829 29.0893i 0.0278176 1.08788i
\(716\) 0.154823 1.15472i 0.00578602 0.0431538i
\(717\) 41.7509 + 10.3437i 1.55922 + 0.386292i
\(718\) −23.3172 1.55621i −0.870189 0.0580772i
\(719\) −4.65932 −0.173763 −0.0868817 0.996219i \(-0.527690\pi\)
−0.0868817 + 0.996219i \(0.527690\pi\)
\(720\) 26.8321 0.202570i 0.999972 0.00754934i
\(721\) −6.28997 −0.234251
\(722\) −26.1727 1.74679i −0.974047 0.0650088i
\(723\) −29.0836 7.20539i −1.08163 0.267971i
\(724\) 0.987182 7.36268i 0.0366883 0.273632i
\(725\) 23.7729 + 1.21657i 0.882903 + 0.0451821i
\(726\) 9.47968 + 3.03138i 0.351824 + 0.112505i
\(727\) −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
\(732\) −7.72641 + 19.5632i −0.285576 + 0.723077i
\(733\) −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
\(735\) −12.8980 22.6856i −0.475749 0.836772i
\(736\) −31.0758 + 15.0952i −1.14547 + 0.556418i
\(737\) −0.919420 0.919420i −0.0338673 0.0338673i
\(738\) 9.12759 14.8090i 0.335991 0.545128i
\(739\) −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 −0.535610 0.844465i \(-0.679918\pi\)
0.844465 + 0.535610i \(0.179918\pi\)
\(744\) −16.5461 7.84591i −0.606608 0.287645i
\(745\) 8.04699 + 8.46932i 0.294819 + 0.310292i
\(746\) −0.611258 + 0.534771i −0.0223797 + 0.0195793i
\(747\) 10.6950 + 34.6130i 0.391310 + 1.26642i
\(748\) 16.3356 + 21.3945i 0.597290 + 0.782259i
\(749\) 2.25134i 0.0822620i
\(750\) 10.6446 + 25.2328i 0.388685 + 0.921371i
\(751\) −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
\(753\) 1.76583 + 0.437480i 0.0643503 + 0.0159426i
\(754\) −21.9041 25.0370i −0.797700 0.911793i
\(755\) −19.2111 + 18.2531i −0.699163 + 0.664299i
\(756\) 5.30459 + 0.406377i 0.192926 + 0.0147798i
\(757\) −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 \(-0.986710\pi\)
0.999129 0.0417394i \(-0.0132899\pi\)
\(762\) −30.4439 + 15.6910i −1.10286 + 0.568426i
\(763\) 1.49979 1.49979i 0.0542962 0.0542962i
\(764\) −5.96666 + 44.5011i −0.215866 + 1.60999i
\(765\) −29.8959 16.7728i −1.08089 0.606423i
\(766\) 25.9810 22.7300i 0.938733 0.821269i
\(767\) 17.1979 + 17.1979i 0.620981 + 0.620981i
\(768\) −19.7793 19.4108i −0.713725 0.700426i
\(769\) 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 0.962759