Properties

Label 120.2.w.c.53.9
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 53.9
Character \(\chi\) \(=\) 120.53
Dual form 120.2.w.c.77.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0941764 + 1.41107i) q^{2} +(1.68122 + 0.416519i) q^{3} +(-1.98226 + 0.265780i) q^{4} +(-1.62104 + 1.54020i) q^{5} +(-0.429408 + 2.41156i) q^{6} +(-0.361989 + 0.361989i) q^{7} +(-0.561717 - 2.77209i) q^{8} +(2.65302 + 1.40052i) q^{9} +O(q^{10})\) \(q+(0.0941764 + 1.41107i) q^{2} +(1.68122 + 0.416519i) 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} +(-0.561717 - 2.77209i) q^{8} +(2.65302 + 1.40052i) q^{9} +(-2.32601 - 2.14236i) q^{10} +2.63380 q^{11} +(-3.44333 - 0.378815i) 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} +(-1.72639 + 3.87551i) q^{18} -0.672266 q^{19} +(2.80397 - 3.48393i) q^{20} +(-0.759360 + 0.457809i) q^{21} +(0.248041 + 3.71648i) 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} +(3.87698 + 3.45963i) q^{27} +(0.621348 - 0.813767i) q^{28} -4.76080i q^{29} +(-3.01821 - 4.57061i) q^{30} +3.73793 q^{31} +(1.85024 + 5.34571i) q^{32} +(4.42800 + 1.09703i) 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} +(-0.0633116 - 0.948617i) q^{38} +(7.32901 - 4.41857i) q^{39} +(5.18015 + 3.62850i) q^{40} -4.10027i q^{41} +(-0.717517 - 1.02840i) 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} +(6.92626 - 0.164257i) q^{48} +6.73793i q^{49} +(7.07022 - 0.109683i) q^{50} +(-4.56987 - 7.57996i) q^{51} +(-5.99698 + 7.85412i) 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} +(-1.13023 - 0.280012i) q^{57} +(6.71784 - 0.448355i) q^{58} +4.92247i q^{59} +(6.16522 - 4.68935i) q^{60} +6.07190i q^{61} +(0.352025 + 5.27449i) q^{62} +(-1.46734 + 0.453392i) 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} +(8.12305 + 6.20232i) q^{68} +(-9.05912 + 5.46164i) q^{69} +(1.61750 - 0.0664796i) q^{70} -8.63702i q^{71} +(2.39213 - 8.14111i) 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} +(6.92516 + 9.92565i) q^{78} +4.07707i q^{79} +(-4.63224 + 7.65130i) q^{80} +(5.07707 + 7.43124i) q^{81} +(5.78579 - 0.386149i) 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} +(1.98296 - 8.00397i) q^{87} +(-1.47945 - 7.30111i) q^{88} +6.58584 q^{89} +(-3.17053 - 8.94135i) q^{90} +2.52941i q^{91} +(7.41264 - 9.70819i) q^{92} +(6.28429 + 1.55692i) 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} +(-9.50772 + 0.634554i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0941764 + 1.41107i 0.0665928 + 0.997780i
\(3\) 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
\(6\) −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 \(0.280843\pi\)
\(8\) −0.561717 2.77209i −0.198597 0.980081i
\(9\) 2.65302 + 1.40052i 0.884341 + 0.466841i
\(10\) −2.32601 2.14236i −0.735548 0.677473i
\(11\) 2.63380 0.794119 0.397060 0.917793i \(-0.370031\pi\)
0.397060 + 0.917793i \(0.370031\pi\)
\(12\) −3.44333 0.378815i −0.994003 0.109354i
\(13\) 3.49376 3.49376i 0.968995 0.968995i −0.0305386 0.999534i \(-0.509722\pi\)
0.999534 + 0.0305386i \(0.00972224\pi\)
\(14\) −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 \(0.962742\pi\)
\(18\) −1.72639 + 3.87551i −0.406914 + 0.913466i
\(19\) −0.672266 −0.154228 −0.0771142 0.997022i \(-0.524571\pi\)
−0.0771142 + 0.997022i \(0.524571\pi\)
\(20\) 2.80397 3.48393i 0.626987 0.779030i
\(21\) −0.759360 + 0.457809i −0.165706 + 0.0999022i
\(22\) 0.248041 + 3.71648i 0.0528826 + 0.792357i
\(23\) −4.31851 + 4.31851i −0.900472 + 0.900472i −0.995477 0.0950052i \(-0.969713\pi\)
0.0950052 + 0.995477i \(0.469713\pi\)
\(24\) 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
\(27\) 3.87698 + 3.45963i 0.746125 + 0.665806i
\(28\) 0.621348 0.813767i 0.117424 0.153787i
\(29\) 4.76080i 0.884058i −0.897001 0.442029i \(-0.854259\pi\)
0.897001 0.442029i \(-0.145741\pi\)
\(30\) −3.01821 4.57061i −0.551046 0.834475i
\(31\) 3.73793 0.671352 0.335676 0.941978i \(-0.391035\pi\)
0.335676 + 0.941978i \(0.391035\pi\)
\(32\) 1.85024 + 5.34571i 0.327079 + 0.944997i
\(33\) 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
\(36\) −5.63122 2.07108i −0.938536 0.345181i
\(37\) −2.82150 2.82150i −0.463851 0.463851i 0.436064 0.899915i \(-0.356372\pi\)
−0.899915 + 0.436064i \(0.856372\pi\)
\(38\) −0.0633116 0.948617i −0.0102705 0.153886i
\(39\) 7.32901 4.41857i 1.17358 0.707538i
\(40\) 5.18015 + 3.62850i 0.819054 + 0.573717i
\(41\) 4.10027i 0.640355i −0.947358 0.320177i \(-0.896257\pi\)
0.947358 0.320177i \(-0.103743\pi\)
\(42\) −0.717517 1.02840i −0.110715 0.158685i
\(43\) −7.57996 + 7.57996i −1.15593 + 1.15593i −0.170591 + 0.985342i \(0.554568\pi\)
−0.985342 + 0.170591i \(0.945432\pi\)
\(44\) −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 \(0.782478\pi\)
\(48\) 6.92626 0.164257i 0.999719 0.0237085i
\(49\) 6.73793i 0.962561i
\(50\) 7.07022 0.109683i 0.999880 0.0155116i
\(51\) −4.56987 7.57996i −0.639910 1.06141i
\(52\) −5.99698 + 7.85412i −0.831631 + 1.08917i
\(53\) 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
\(57\) −1.13023 0.280012i −0.149702 0.0370884i
\(58\) 6.71784 0.448355i 0.882096 0.0588719i
\(59\) 4.92247i 0.640851i 0.947274 + 0.320425i \(0.103826\pi\)
−0.947274 + 0.320425i \(0.896174\pi\)
\(60\) 6.16522 4.68935i 0.795927 0.605393i
\(61\) 6.07190i 0.777428i 0.921359 + 0.388714i \(0.127081\pi\)
−0.921359 + 0.388714i \(0.872919\pi\)
\(62\) 0.352025 + 5.27449i 0.0447072 + 0.669861i
\(63\) −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
\(66\) −1.13097 + 6.35155i −0.139213 + 0.781822i
\(67\) −0.349085 0.349085i −0.0426476 0.0426476i 0.685461 0.728109i \(-0.259601\pi\)
−0.728109 + 0.685461i \(0.759601\pi\)
\(68\) 8.12305 + 6.20232i 0.985064 + 0.752141i
\(69\) −9.05912 + 5.46164i −1.09059 + 0.657504i
\(70\) 1.61750 0.0664796i 0.193328 0.00794584i
\(71\) 8.63702i 1.02503i −0.858680 0.512513i \(-0.828715\pi\)
0.858680 0.512513i \(-0.171285\pi\)
\(72\) 2.39213 8.14111i 0.281915 0.959439i
\(73\) −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
\(78\) 6.92516 + 9.92565i 0.784120 + 1.12386i
\(79\) 4.07707i 0.458706i 0.973343 + 0.229353i \(0.0736610\pi\)
−0.973343 + 0.229353i \(0.926339\pi\)
\(80\) −4.63224 + 7.65130i −0.517900 + 0.855441i
\(81\) 5.07707 + 7.43124i 0.564119 + 0.825694i
\(82\) 5.78579 0.386149i 0.638933 0.0426430i
\(83\) −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
\(87\) 1.98296 8.00397i 0.212596 0.858115i
\(88\) −1.47945 7.30111i −0.157710 0.778301i
\(89\) 6.58584 0.698097 0.349049 0.937105i \(-0.386505\pi\)
0.349049 + 0.937105i \(0.386505\pi\)
\(90\) −3.17053 8.94135i −0.334203 0.942501i
\(91\) 2.52941i 0.265154i
\(92\) 7.41264 9.70819i 0.772822 1.01215i
\(93\) 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
\(96\) 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 \(0.265108\pi\)
\(98\) −9.50772 + 0.634554i −0.960424 + 0.0640996i
\(99\) 6.98752 + 3.68869i 0.702272 + 0.370728i
\(100\) 0.820619 + 9.96627i 0.0820619 + 0.996627i
\(101\) 3.46850 0.345129 0.172564 0.984998i \(-0.444795\pi\)
0.172564 + 0.984998i \(0.444795\pi\)
\(102\) 10.2655 7.16228i 1.01644 0.709171i
\(103\) 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 −0.841258 0.540634i \(-0.818184\pi\)
0.540634 + 0.841258i \(0.318184\pi\)
\(108\) −8.60469 5.82746i −0.827987 0.560748i
\(109\) 4.14320 0.396846 0.198423 0.980116i \(-0.436418\pi\)
0.198423 + 0.980116i \(0.436418\pi\)
\(110\) −6.12623 5.64253i −0.584113 0.537994i
\(111\) −3.56836 5.91877i −0.338693 0.561785i
\(112\) −1.01539 + 1.77824i −0.0959455 + 0.168028i
\(113\) −4.38269 + 4.38269i −0.412289 + 0.412289i −0.882535 0.470247i \(-0.844165\pi\)
0.470247 + 0.882535i \(0.344165\pi\)
\(114\) 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
\(117\) 14.1621 4.37594i 1.30929 0.404555i
\(118\) −6.94597 + 0.463580i −0.639428 + 0.0426760i
\(119\) 2.61602 0.239810
\(120\) 7.19765 + 8.25796i 0.657052 + 0.753845i
\(121\) −4.06312 −0.369374
\(122\) −8.56791 + 0.571830i −0.775702 + 0.0517711i
\(123\) 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
\(126\) −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 \(0.0369839\pi\)
\(128\) −5.08843 10.1048i −0.449758 0.893150i
\(129\) −15.9008 + 9.58641i −1.39999 + 0.844036i
\(130\) −15.6114 + 0.641632i −1.36921 + 0.0562749i
\(131\) 8.79462 0.768389 0.384195 0.923252i \(-0.374479\pi\)
0.384195 + 0.923252i \(0.374479\pi\)
\(132\) −9.06902 0.997721i −0.789357 0.0868404i
\(133\) 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 \(0.721344\pi\)
\(138\) −8.55993 12.2687i −0.728670 1.04438i
\(139\) 13.3028 1.12833 0.564164 0.825663i \(-0.309199\pi\)
0.564164 + 0.825663i \(0.309199\pi\)
\(140\) 0.246138 + 2.27615i 0.0208025 + 0.192370i
\(141\) −1.24894 2.07160i −0.105180 0.174460i
\(142\) 12.1875 0.813404i 1.02275 0.0682593i
\(143\) 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
\(147\) −2.80648 + 11.3280i −0.231474 + 0.934314i
\(148\) 6.34284 + 4.84305i 0.521378 + 0.398096i
\(149\) 5.22462i 0.428018i −0.976832 0.214009i \(-0.931348\pi\)
0.976832 0.214009i \(-0.0686522\pi\)
\(150\) 11.9323 + 2.76048i 0.974268 + 0.225392i
\(151\) −11.8511 −0.964429 −0.482214 0.876053i \(-0.660167\pi\)
−0.482214 + 0.876053i \(0.660167\pi\)
\(152\) 0.377623 + 1.86358i 0.0306293 + 0.151156i
\(153\) −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
\(156\) −13.3536 + 10.7067i −1.06915 + 0.857220i
\(157\) −13.9522 13.9522i −1.11351 1.11351i −0.992673 0.120836i \(-0.961443\pi\)
−0.120836 0.992673i \(-0.538557\pi\)
\(158\) −5.75305 + 0.383964i −0.457688 + 0.0305465i
\(159\) 0.817188 + 1.35546i 0.0648072 + 0.107495i
\(160\) −11.2328 5.81587i −0.888030 0.459785i
\(161\) 3.12651i 0.246403i
\(162\) −10.0079 + 7.86397i −0.786295 + 0.617852i
\(163\) −6.66434 + 6.66434i −0.521992 + 0.521992i −0.918172 0.396181i \(-0.870335\pi\)
0.396181 + 0.918172i \(0.370335\pi\)
\(164\) 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 \(0.422889\pi\)
\(168\) 1.69563 + 1.84785i 0.130821 + 0.142565i
\(169\) 11.4127i 0.877903i
\(170\) 0.663602 + 16.1459i 0.0508960 + 1.23834i
\(171\) −1.78354 0.941524i −0.136390 0.0720001i
\(172\) 13.0109 17.0401i 0.992069 1.29929i
\(173\) 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
\(177\) −2.05030 + 8.27577i −0.154110 + 0.622045i
\(178\) 0.620231 + 9.29311i 0.0464882 + 0.696548i
\(179\) 0.582525i 0.0435399i 0.999763 + 0.0217700i \(0.00693014\pi\)
−0.999763 + 0.0217700i \(0.993070\pi\)
\(180\) 12.3183 5.31592i 0.918153 0.396225i
\(181\) 3.71429i 0.276081i 0.990427 + 0.138040i \(0.0440804\pi\)
−0.990427 + 0.138040i \(0.955920\pi\)
\(182\) −3.56918 + 0.238211i −0.264565 + 0.0176573i
\(183\) −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
\(186\) −1.60510 + 9.01423i −0.117691 + 0.660955i
\(187\) −9.51693 9.51693i −0.695947 0.695947i
\(188\) 2.22002 + 1.69509i 0.161912 + 0.123627i
\(189\) −2.65577 + 0.151077i −0.193179 + 0.0109892i
\(190\) 1.56369 + 1.44023i 0.113442 + 0.104485i
\(191\) 22.4496i 1.62440i 0.583380 + 0.812199i \(0.301730\pi\)
−0.583380 + 0.812199i \(0.698270\pi\)
\(192\) −13.6860 + 2.16646i −0.987702 + 0.156351i
\(193\) 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 −0.758456 0.651724i \(-0.774046\pi\)
0.651724 + 0.758456i \(0.274046\pi\)
\(198\) −4.54696 + 10.2073i −0.323138 + 0.725401i
\(199\) 12.6160i 0.894328i −0.894452 0.447164i \(-0.852434\pi\)
0.894452 0.447164i \(-0.147566\pi\)
\(200\) −13.9859 + 2.09654i −0.988950 + 0.148248i
\(201\) −0.441490 0.732291i −0.0311403 0.0516519i
\(202\) 0.326651 + 4.89431i 0.0229831 + 0.344363i
\(203\) 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
\(207\) −17.5053 + 5.40893i −1.21670 + 0.375947i
\(208\) 9.80011 17.1628i 0.679515 1.19003i
\(209\) −1.77061 −0.122476
\(210\) 2.74707 + 0.561952i 0.189566 + 0.0387784i
\(211\) 14.0010i 0.963865i 0.876208 + 0.481933i \(0.160065\pi\)
−0.876208 + 0.481933i \(0.839935\pi\)
\(212\) −1.45257 1.10910i −0.0997630 0.0761736i
\(213\) 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
\(216\) 7.41263 12.6907i 0.504365 0.863490i
\(217\) −1.35309 + 1.35309i −0.0918537 + 0.0918537i
\(218\) 0.390192 + 5.84636i 0.0264271 + 0.395965i
\(219\) −14.3241 23.7592i −0.967935 1.60550i
\(220\) 7.38508 9.17596i 0.497902 0.618643i
\(221\) −25.2486 −1.69841
\(222\) 8.01577 5.59263i 0.537983 0.375352i
\(223\) −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 −0.107205 0.994237i \(-0.534190\pi\)
0.994237 + 0.107205i \(0.0341901\pi\)
\(228\) 2.31483 + 0.254664i 0.153303 + 0.0168655i
\(229\) −15.7606 −1.04149 −0.520746 0.853712i \(-0.674346\pi\)
−0.520746 + 0.853712i \(0.674346\pi\)
\(230\) 19.2967 0.793098i 1.27238 0.0522953i
\(231\) −2.00000 + 1.20578i −0.131590 + 0.0793343i
\(232\) −13.1974 + 2.67422i −0.866449 + 0.175571i
\(233\) 13.0197 13.0197i 0.852949 0.852949i −0.137546 0.990495i \(-0.543921\pi\)
0.990495 + 0.137546i \(0.0439215\pi\)
\(234\) 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
\(237\) −1.69818 + 6.85446i −0.110308 + 0.445245i
\(238\) 0.246367 + 3.69139i 0.0159696 + 0.239278i
\(239\) −24.8336 −1.60635 −0.803177 0.595740i \(-0.796859\pi\)
−0.803177 + 0.595740i \(0.796859\pi\)
\(240\) −10.9747 + 10.9341i −0.708417 + 0.705794i
\(241\) 17.2991 1.11433 0.557165 0.830402i \(-0.311889\pi\)
0.557165 + 0.830402i \(0.311889\pi\)
\(242\) −0.382650 5.73336i −0.0245977 0.368555i
\(243\) 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
\(246\) 9.88804 + 1.76069i 0.630438 + 0.112257i
\(247\) −2.34874 + 2.34874i −0.149446 + 0.149446i
\(248\) −2.09966 10.3619i −0.133328 0.657979i
\(249\) −10.7992 17.9125i −0.684373 1.13516i
\(250\) −11.2922 + 11.0674i −0.714179 + 0.699963i
\(251\) 1.05032 0.0662958 0.0331479 0.999450i \(-0.489447\pi\)
0.0331479 + 0.999450i \(0.489447\pi\)
\(252\) 2.78815 1.28873i 0.175637 0.0811824i
\(253\) −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 \(0.780981\pi\)
\(258\) −15.0246 21.5344i −0.935392 1.34067i
\(259\) 2.04270 0.126927
\(260\) −2.37562 21.9684i −0.147329 1.36242i
\(261\) 6.66761 12.6305i 0.412715 0.781809i
\(262\) 0.828245 + 12.4099i 0.0511692 + 0.766683i
\(263\) −7.49936 + 7.49936i −0.462430 + 0.462430i −0.899451 0.437021i \(-0.856034\pi\)
0.437021 + 0.899451i \(0.356034\pi\)
\(264\) 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
\(267\) 11.0723 + 2.74313i 0.677611 + 0.167877i
\(268\) 0.784759 + 0.599199i 0.0479368 + 0.0366019i
\(269\) 21.1993i 1.29254i −0.763108 0.646271i \(-0.776327\pi\)
0.763108 0.646271i \(-0.223673\pi\)
\(270\) −1.60613 16.3530i −0.0977459 0.995211i
\(271\) −14.6748 −0.891431 −0.445716 0.895175i \(-0.647051\pi\)
−0.445716 + 0.895175i \(0.647051\pi\)
\(272\) −17.7505 10.1357i −1.07628 0.614565i
\(273\) −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
\(276\) 16.5060 13.2341i 0.993542 0.796601i
\(277\) 8.79593 + 8.79593i 0.528496 + 0.528496i 0.920124 0.391628i \(-0.128088\pi\)
−0.391628 + 0.920124i \(0.628088\pi\)
\(278\) 1.25281 + 18.7712i 0.0751384 + 1.12582i
\(279\) 9.91681 + 5.23506i 0.593704 + 0.313415i
\(280\) −3.18864 + 0.561679i −0.190558 + 0.0335667i
\(281\) 0.490821i 0.0292799i 0.999893 + 0.0146399i \(0.00466021\pi\)
−0.999893 + 0.0146399i \(0.995340\pi\)
\(282\) 2.80556 1.95745i 0.167069 0.116564i
\(283\) 9.43710 9.43710i 0.560978 0.560978i −0.368608 0.929585i \(-0.620165\pi\)
0.929585 + 0.368608i \(0.120165\pi\)
\(284\) 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
\(288\) −2.57807 + 16.7736i −0.151914 + 0.988394i
\(289\) 9.11317i 0.536069i
\(290\) −10.1993 + 11.0737i −0.598925 + 0.650267i
\(291\) −1.38631 + 0.835791i −0.0812671 + 0.0489950i
\(292\) 25.4615 + 19.4410i 1.49002 + 1.13770i
\(293\) 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
\(297\) 10.2112 + 9.11195i 0.592512 + 0.528729i
\(298\) 7.37233 0.492036i 0.427068 0.0285029i
\(299\) 30.1757i 1.74510i
\(300\) −2.77150 + 17.0973i −0.160013 + 0.987115i
\(301\) 5.48773i 0.316307i
\(302\) −1.11609 16.7228i −0.0642240 0.962288i
\(303\) 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
\(306\) 20.2418 7.76561i 1.15715 0.443930i
\(307\) 8.00887 + 8.00887i 0.457091 + 0.457091i 0.897699 0.440609i \(-0.145237\pi\)
−0.440609 + 0.897699i \(0.645237\pi\)
\(308\) 1.63650 2.14330i 0.0932485 0.122126i
\(309\) 10.9878 + 18.2253i 0.625076 + 1.03680i
\(310\) −8.69445 8.00797i −0.493811 0.454822i
\(311\) 12.8874i 0.730778i 0.930855 + 0.365389i \(0.119064\pi\)
−0.930855 + 0.365389i \(0.880936\pi\)
\(312\) −16.3655 17.8347i −0.926515 1.00969i
\(313\) 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 −0.917290 0.398221i \(-0.869628\pi\)
0.398221 + 0.917290i \(0.369628\pi\)
\(318\) −1.83569 + 1.28076i −0.102940 + 0.0718217i
\(319\) 12.5390i 0.702048i
\(320\) 7.14876 16.3980i 0.399628 0.916678i
\(321\) −6.52329 + 3.93281i −0.364094 + 0.219508i
\(322\) 4.41174 0.294443i 0.245856 0.0164087i
\(323\) 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
\(327\) 6.96564 + 1.72572i 0.385201 + 0.0954326i
\(328\) −11.3663 + 2.30319i −0.627600 + 0.127173i
\(329\) 0.714956 0.0394168
\(330\) −7.94934 12.0380i −0.437597 0.662672i
\(331\) 22.2355i 1.22218i −0.791563 0.611088i \(-0.790732\pi\)
0.791563 0.611088i \(-0.209268\pi\)
\(332\) 19.1959 + 14.6569i 1.05351 + 0.804403i
\(333\) −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
\(336\) −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 \(0.362516\pi\)
\(338\) 16.1042 1.07481i 0.875954 0.0584620i
\(339\) −9.19375 + 5.54280i −0.499336 + 0.301044i
\(340\) −22.7206 + 2.45696i −1.23220 + 0.133247i
\(341\) 9.84494 0.533133
\(342\) 1.16059 2.60537i 0.0627577 0.140882i
\(343\) −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 −0.910450 0.413619i \(-0.864265\pi\)
0.413619 + 0.910450i \(0.364265\pi\)
\(348\) −1.80346 + 16.3930i −0.0966756 + 0.878756i
\(349\) 17.5919 0.941671 0.470835 0.882221i \(-0.343953\pi\)
0.470835 + 0.882221i \(0.343953\pi\)
\(350\) −2.51964 + 2.59905i −0.134680 + 0.138925i
\(351\) 25.6324 1.45813i 1.36815 0.0778292i
\(352\) 4.87314 + 14.0795i 0.259739 + 0.750440i
\(353\) −12.9654 + 12.9654i −0.690077 + 0.690077i −0.962249 0.272172i \(-0.912258\pi\)
0.272172 + 0.962249i \(0.412258\pi\)
\(354\) −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
\(357\) 4.39811 + 1.08962i 0.232773 + 0.0576689i
\(358\) −0.821985 + 0.0548601i −0.0434433 + 0.00289945i
\(359\) −16.5244 −0.872125 −0.436063 0.899916i \(-0.643627\pi\)
−0.436063 + 0.899916i \(0.643627\pi\)
\(360\) 8.66125 + 16.8814i 0.456488 + 0.889729i
\(361\) −18.5481 −0.976214
\(362\) −5.24113 + 0.349798i −0.275468 + 0.0183850i
\(363\) −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
\(366\) −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 \(0.890660\pi\)
\(368\) −12.1136 + 21.2143i −0.631463 + 1.10587i
\(369\) 5.74253 10.8781i 0.298944 0.566292i
\(370\) 0.518170 + 12.6075i 0.0269384 + 0.655431i
\(371\) −0.467798 −0.0242869
\(372\) −12.8709 1.41598i −0.667325 0.0734152i
\(373\) 0.406084 0.406084i 0.0210262 0.0210262i −0.696516 0.717542i \(-0.745267\pi\)
0.717542 + 0.696516i \(0.245267\pi\)
\(374\) 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
\(378\) −0.463292 3.73327i −0.0238292 0.192018i
\(379\) 5.73108 0.294386 0.147193 0.989108i \(-0.452976\pi\)
0.147193 + 0.989108i \(0.452976\pi\)
\(380\) −1.88501 + 2.34213i −0.0966991 + 0.120149i
\(381\) 20.7404 12.5041i 1.06256 0.640607i
\(382\) −31.6781 + 2.11423i −1.62079 + 0.108173i
\(383\) 17.2603 17.2603i 0.881958 0.881958i −0.111775 0.993734i \(-0.535654\pi\)
0.993734 + 0.111775i \(0.0356537\pi\)
\(384\) −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
\(387\) −30.7257 + 9.49390i −1.56188 + 0.482602i
\(388\) 1.13435 1.48564i 0.0575880 0.0754219i
\(389\) 27.9300i 1.41611i 0.706159 + 0.708053i \(0.250426\pi\)
−0.706159 + 0.708053i \(0.749574\pi\)
\(390\) −26.5135 5.42372i −1.34256 0.274641i
\(391\) 31.2089 1.57830
\(392\) 18.6781 3.78481i 0.943388 0.191162i
\(393\) 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
\(396\) −14.8315 5.45481i −0.745310 0.274115i
\(397\) 3.16232 + 3.16232i 0.158712 + 0.158712i 0.781996 0.623284i \(-0.214202\pi\)
−0.623284 + 0.781996i \(0.714202\pi\)
\(398\) 17.8022 1.18813i 0.892342 0.0595558i
\(399\) 0.510492 0.307770i 0.0255566 0.0154077i
\(400\) −4.27552 19.5377i −0.213776 0.976883i
\(401\) 11.2530i 0.561950i 0.959715 + 0.280975i \(0.0906578\pi\)
−0.959715 + 0.280975i \(0.909342\pi\)
\(402\) 0.991740 0.691940i 0.0494635 0.0345108i
\(403\) 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
\(408\) −18.4453 + 16.9259i −0.913181 + 0.837956i
\(409\) 5.05965i 0.250183i 0.992145 + 0.125092i \(0.0399225\pi\)
−0.992145 + 0.125092i \(0.960077\pi\)
\(410\) −8.78424 + 9.53726i −0.433823 + 0.471012i
\(411\) 1.88212 + 3.12185i 0.0928384 + 0.153989i
\(412\) −19.5311 14.9129i −0.962229 0.734706i
\(413\) −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
\(417\) 22.3649 + 5.54086i 1.09522 + 0.271337i
\(418\) −0.166750 2.49846i −0.00815600 0.122204i
\(419\) 25.1822i 1.23023i −0.788436 0.615116i \(-0.789109\pi\)
0.788436 0.615116i \(-0.210891\pi\)
\(420\) −0.534248 + 3.92924i −0.0260686 + 0.191727i
\(421\) 31.5091i 1.53566i 0.640654 + 0.767830i \(0.278664\pi\)
−0.640654 + 0.767830i \(0.721336\pi\)
\(422\) −19.7564 + 1.31856i −0.961726 + 0.0641865i
\(423\) −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
\(426\) 20.8287 + 3.70880i 1.00915 + 0.179692i
\(427\) −2.19796 2.19796i −0.106367 0.106367i
\(428\) 5.33769 6.99067i 0.258007 0.337907i
\(429\) 19.3031 11.6376i 0.931963 0.561870i
\(430\) 33.8700 1.39207i 1.63336 0.0671314i
\(431\) 13.6082i 0.655482i −0.944768 0.327741i \(-0.893713\pi\)
0.944768 0.327741i \(-0.106287\pi\)
\(432\) 18.6056 + 9.26461i 0.895161 + 0.445744i
\(433\) 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
\(438\) 32.1770 22.4500i 1.53748 1.07270i
\(439\) 5.56599i 0.265650i 0.991139 + 0.132825i \(0.0424049\pi\)
−0.991139 + 0.132825i \(0.957595\pi\)
\(440\) 13.6435 + 9.55674i 0.650426 + 0.455600i
\(441\) −9.43663 + 17.8759i −0.449363 + 0.851232i
\(442\) −2.37783 35.6277i −0.113102 1.69464i
\(443\) 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
\(447\) 2.17616 8.78376i 0.102929 0.415458i
\(448\) 1.54015 3.79481i 0.0727653 0.179288i
\(449\) 21.1895 0.999995 0.499998 0.866027i \(-0.333334\pi\)
0.499998 + 0.866027i \(0.333334\pi\)
\(450\) 18.9111 + 9.61101i 0.891476 + 0.453067i
\(451\) 10.7993i 0.508518i
\(452\) 7.52280 9.85246i 0.353843 0.463421i
\(453\) −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
\(456\) −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 \(0.0614509\pi\)
\(458\) −1.48428 22.2394i −0.0693558 1.03918i
\(459\) −1.50806 26.5100i −0.0703901 1.23738i
\(460\) 2.93641 + 27.1543i 0.136911 + 1.26608i
\(461\) −3.58886 −0.167150 −0.0835749 0.996502i \(-0.526634\pi\)
−0.0835749 + 0.996502i \(0.526634\pi\)
\(462\) −1.88979 2.70859i −0.0879211 0.126015i
\(463\) −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 −0.0195348 0.999809i \(-0.506219\pi\)
0.999809 + 0.0195348i \(0.00621850\pi\)
\(468\) −26.9100 + 12.4383i −1.24392 + 0.574959i
\(469\) 0.252730 0.0116700
\(470\) 0.181362 + 4.41268i 0.00836561 + 0.203542i
\(471\) −17.6454 29.2682i −0.813058 1.34861i
\(472\) 13.6455 2.76504i 0.628086 0.127271i
\(473\) −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
\(477\) 0.809302 + 2.61920i 0.0370554 + 0.119925i
\(478\) −2.33874 35.0421i −0.106972 1.60279i
\(479\) 2.58847 0.118270 0.0591350 0.998250i \(-0.481166\pi\)
0.0591350 + 0.998250i \(0.481166\pi\)
\(480\) −16.4624 14.4564i −0.751403 0.659843i
\(481\) −19.7153 −0.898939
\(482\) 1.62916 + 24.4103i 0.0742063 + 1.11186i
\(483\) 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
\(486\) −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 \(0.164317\pi\)
\(488\) 16.8319 3.41069i 0.761942 0.154395i
\(489\) −13.9801 + 8.42842i −0.632201 + 0.381146i
\(490\) 14.4350 15.6725i 0.652109 0.708010i
\(491\) −25.3703 −1.14494 −0.572472 0.819924i \(-0.694015\pi\)
−0.572472 + 0.819924i \(0.694015\pi\)
\(492\) −1.55324 + 14.1186i −0.0700256 + 0.636514i
\(493\) −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
\(498\) 24.2588 16.9254i 1.08706 0.758447i
\(499\) −28.6742 −1.28363 −0.641816 0.766859i \(-0.721819\pi\)
−0.641816 + 0.766859i \(0.721819\pi\)
\(500\) −16.6804 14.8918i −0.745968 0.665982i
\(501\) 19.7870 + 32.8204i 0.884018 + 1.46631i
\(502\) 0.0989156 + 1.48208i 0.00441482 + 0.0661486i
\(503\) 5.46994 5.46994i 0.243893 0.243893i −0.574566 0.818458i \(-0.694829\pi\)
0.818458 + 0.574566i \(0.194829\pi\)
\(504\) 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
\(507\) 4.75362 19.1874i 0.211116 0.852140i
\(508\) −16.9709 + 22.2264i −0.752961 + 0.986138i
\(509\) 21.6722i 0.960605i −0.877103 0.480303i \(-0.840527\pi\)
0.877103 0.480303i \(-0.159473\pi\)
\(510\) −5.60943 + 27.4213i −0.248390 + 1.21424i
\(511\) 8.19983 0.362739
\(512\) 12.7723 + 18.6780i 0.564460 + 0.825460i
\(513\) −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
\(516\) 28.9717 23.2289i 1.27541 1.02259i
\(517\) −2.60097 2.60097i −0.114391 0.114391i
\(518\) 0.192374 + 2.88240i 0.00845244 + 0.126646i
\(519\) 8.09831 + 13.4325i 0.355476 + 0.589622i
\(520\) 30.7753 5.42108i 1.34959 0.237730i
\(521\) 13.0236i 0.570576i −0.958442 0.285288i \(-0.907911\pi\)
0.958442 0.285288i \(-0.0920893\pi\)
\(522\) 18.4505 + 8.21900i 0.807558 + 0.359736i
\(523\) 1.57962 1.57962i 0.0690720 0.0690720i −0.671727 0.740799i \(-0.734447\pi\)
0.740799 + 0.671727i \(0.234447\pi\)
\(524\) −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
\(528\) 18.2423 0.432619i 0.793896 0.0188273i
\(529\) 14.2991i 0.621698i
\(530\) −0.118666 2.88723i −0.00515452 0.125413i
\(531\) −6.89403 + 13.0594i −0.299176 + 0.566731i
\(532\) −0.417711 + 0.547068i −0.0181101 + 0.0237184i
\(533\) −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
\(537\) −0.242633 + 0.979354i −0.0104704 + 0.0422622i
\(538\) 29.9137 1.99647i 1.28967 0.0860740i
\(539\) 17.7463i 0.764388i
\(540\) 22.9240 3.80643i 0.986493 0.163803i
\(541\) 38.6062i 1.65981i −0.557903 0.829906i \(-0.688394\pi\)
0.557903 0.829906i \(-0.311606\pi\)
\(542\) −1.38202 20.7072i −0.0593629 0.889452i
\(543\) −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
\(546\) −6.09981 1.08615i −0.261048 0.0464828i
\(547\) −16.8276 16.8276i −0.719498 0.719498i 0.249005 0.968502i \(-0.419897\pi\)
−0.968502 + 0.249005i \(0.919897\pi\)
\(548\) −3.34552 2.55446i −0.142914 0.109121i
\(549\) −8.50384 + 16.1089i −0.362935 + 0.687511i
\(550\) 18.6215 0.288883i 0.794024 0.0123180i
\(551\) 3.20052i 0.136347i
\(552\) 20.2288 + 22.0448i 0.860995 + 0.938288i
\(553\) −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 −0.959020 0.283337i \(-0.908559\pi\)
0.283337 + 0.959020i \(0.408559\pi\)
\(558\) −6.45312 + 14.4864i −0.273182 + 0.613257i
\(559\) 52.9651i 2.24019i
\(560\) −1.09287 4.44651i −0.0461820 0.187899i
\(561\) −12.0361 19.9641i −0.508165 0.842884i
\(562\) −0.692584 + 0.0462237i −0.0292149 + 0.00194983i
\(563\) 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
\(567\) −4.52787 0.852186i −0.190153 0.0357885i
\(568\) −23.9426 + 4.85156i −1.00461 + 0.203567i
\(569\) 38.0835 1.59654 0.798272 0.602297i \(-0.205748\pi\)
0.798272 + 0.602297i \(0.205748\pi\)
\(570\) 2.02904 + 3.07266i 0.0849870 + 0.128700i
\(571\) 39.4382i 1.65044i 0.564815 + 0.825218i \(0.308948\pi\)
−0.564815 + 0.825218i \(0.691052\pi\)
\(572\) −15.7948 + 20.6861i −0.660414 + 0.864931i
\(573\) −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
\(576\) −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 \(0.0974770\pi\)
\(578\) −12.8594 + 0.858246i −0.534879 + 0.0356983i
\(579\) 10.1353 + 16.8112i 0.421208 + 0.698650i
\(580\) −16.5863 13.3491i −0.688708 0.554293i
\(581\) 6.18200 0.256473
\(582\) −1.30992 1.87748i −0.0542980 0.0778240i
\(583\) 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 −0.521600 0.853190i \(-0.674665\pi\)
0.853190 + 0.521600i \(0.174665\pi\)
\(588\) 2.55243 23.2009i 0.105260 0.956788i
\(589\) −2.51288 −0.103541
\(590\) 10.5457 11.4497i 0.434159 0.471377i
\(591\) −3.14255 + 1.89461i −0.129267 + 0.0779338i
\(592\) −13.8604 7.91438i −0.569657 0.325279i
\(593\) 15.7097 15.7097i 0.645122 0.645122i −0.306688 0.951810i \(-0.599221\pi\)
0.951810 + 0.306688i \(0.0992209\pi\)
\(594\) −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
\(597\) 5.25482 21.2104i 0.215066 0.868083i
\(598\) −42.5801 + 2.84184i −1.74123 + 0.116211i
\(599\) 16.2242 0.662902 0.331451 0.943473i \(-0.392462\pi\)
0.331451 + 0.943473i \(0.392462\pi\)
\(600\) −24.3866 2.30063i −0.995579 0.0939227i
\(601\) 30.2446 1.23370 0.616852 0.787079i \(-0.288408\pi\)
0.616852 + 0.787079i \(0.288408\pi\)
\(602\) 7.74359 0.516815i 0.315605 0.0210638i
\(603\) −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
\(606\) −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 \(-0.0276208\pi\)
\(608\) −1.24385 3.59374i −0.0504448 0.145745i
\(609\) 2.17954 + 3.61516i 0.0883194 + 0.146494i
\(610\) 13.0082 14.1233i 0.526686 0.571835i
\(611\) −6.90044 −0.279162
\(612\) 12.8642 + 27.8314i 0.520003 + 1.12502i
\(613\) 11.2416 11.2416i 0.454046 0.454046i −0.442649 0.896695i \(-0.645961\pi\)
0.896695 + 0.442649i \(0.145961\pi\)
\(614\) −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 \(0.601095\pi\)
\(618\) −24.6825 + 17.2210i −0.992875 + 0.692732i
\(619\) −39.2267 −1.57665 −0.788327 0.615256i \(-0.789052\pi\)
−0.788327 + 0.615256i \(0.789052\pi\)
\(620\) 10.4810 13.0227i 0.420928 0.523003i
\(621\) −31.6832 + 1.80234i −1.27140 + 0.0723254i
\(622\) −18.1851 + 1.21369i −0.729156 + 0.0486645i
\(623\) −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
\(627\) −2.97679 0.737493i −0.118882 0.0294526i
\(628\) 31.3652 + 23.9487i 1.25161 + 0.955658i
\(629\) 20.3903i 0.813016i
\(630\) 4.38437 + 2.08897i 0.174678 + 0.0832267i
\(631\) 9.52029 0.378997 0.189498 0.981881i \(-0.439314\pi\)
0.189498 + 0.981881i \(0.439314\pi\)
\(632\) 11.3020 2.29016i 0.449569 0.0910977i
\(633\) −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
\(636\) −1.98013 2.46967i −0.0785174 0.0979290i
\(637\) 23.5407 + 23.5407i 0.932717 + 0.932717i
\(638\) 17.6934 1.18088i 0.700489 0.0467513i
\(639\) 12.0963 22.9142i 0.478524 0.906472i
\(640\) 23.8121 + 8.54312i 0.941255 + 0.337696i
\(641\) 42.2578i 1.66908i −0.550945 0.834541i \(-0.685733\pi\)
0.550945 0.834541i \(-0.314267\pi\)
\(642\) −6.16383 8.83447i −0.243267 0.348669i
\(643\) 15.1060 15.1060i 0.595722 0.595722i −0.343449 0.939171i \(-0.611595\pi\)
0.939171 + 0.343449i \(0.111595\pi\)
\(644\) 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 \(0.650067\pi\)
\(648\) 17.7482 18.2483i 0.697215 0.716863i
\(649\) 12.9648i 0.508912i
\(650\) 24.3184 25.0849i 0.953848 0.983909i
\(651\) −2.83843 + 1.71126i −0.111247 + 0.0670695i
\(652\) 11.4392 14.9817i 0.447995 0.586729i
\(653\) 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
\(657\) −14.1859 45.9108i −0.553445 1.79115i
\(658\) 0.0673320 + 1.00886i 0.00262487 + 0.0393293i
\(659\) 5.93274i 0.231107i −0.993301 0.115553i \(-0.963136\pi\)
0.993301 0.115553i \(-0.0368641\pi\)
\(660\) 16.2379 12.3508i 0.632061 0.480754i
\(661\) 28.1054i 1.09317i −0.837403 0.546586i \(-0.815927\pi\)
0.837403 0.546586i \(-0.184073\pi\)
\(662\) 31.3760 2.09406i 1.21946 0.0813881i
\(663\) −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
\(666\) 15.8057 6.06373i 0.612460 0.234965i
\(667\) 20.5596 + 20.5596i 0.796069 + 0.796069i
\(668\) −35.1719 26.8553i −1.36084 1.03906i
\(669\) −3.24434 5.38133i −0.125433 0.208054i
\(670\) 0.0641098 + 1.55984i 0.00247678 + 0.0602619i
\(671\) 15.9922i 0.617370i
\(672\) −3.85231 3.21227i −0.148606 0.123916i
\(673\) −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 \(-0.471620\pi\)
0.996028 0.0890415i \(-0.0283804\pi\)
\(678\) −8.68714 12.4511i −0.333628 0.478180i
\(679\) 0.478448i 0.0183611i
\(680\) −5.60670 31.8291i −0.215007 1.22059i
\(681\) 28.0352 16.9021i 1.07431 0.647691i
\(682\) 0.927161 + 13.8919i 0.0355028 + 0.531950i
\(683\) 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
\(687\) −26.4971 6.56460i −1.01093 0.250455i
\(688\) −21.2620 + 37.2359i −0.810607 + 1.41961i
\(689\) 4.51498 0.172007
\(690\) 32.7724 + 6.70406i 1.24762 + 0.255219i
\(691\) 9.65683i 0.367363i −0.982986 0.183682i \(-0.941198\pi\)
0.982986 0.183682i \(-0.0588015\pi\)
\(692\) −14.3949 10.9912i −0.547213 0.417822i
\(693\) −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
\(696\) −23.3016 1.00098i −0.883244 0.0379422i
\(697\) −14.8159 + 14.8159i −0.561191 + 0.561191i
\(698\) 1.65674 + 24.8234i 0.0627085 + 0.939580i
\(699\) 27.3120 16.4661i 1.03303 0.622804i
\(700\) −3.90474 3.31063i −0.147585 0.125130i
\(701\) −22.2509 −0.840403 −0.420202 0.907431i \(-0.638041\pi\)
−0.420202 + 0.907431i \(0.638041\pi\)
\(702\) 4.47149 + 36.0318i 0.168766 + 1.35993i
\(703\) 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
\(708\) 1.86470 16.9497i 0.0700799 0.637008i
\(709\) 22.1309 0.831144 0.415572 0.909560i \(-0.363581\pi\)
0.415572 + 0.909560i \(0.363581\pi\)
\(710\) −18.5036 + 20.0898i −0.694427 + 0.753956i
\(711\) −5.71003 + 10.8166i −0.214143 + 0.405653i
\(712\) −3.69938 18.2565i −0.138640 0.684192i
\(713\) −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
\(717\) −41.7509 10.3437i −1.55922 0.386292i
\(718\) −1.55621 23.3172i −0.0580772 0.870189i
\(719\) −4.65932 −0.173763 −0.0868817 0.996219i \(-0.527690\pi\)
−0.0868817 + 0.996219i \(0.527690\pi\)
\(720\) −23.0053 + 13.8115i −0.857356 + 0.514724i
\(721\) −6.28997 −0.234251
\(722\) −1.74679 26.1727i −0.0650088 0.974047i
\(723\) 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
\(726\) 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 \(0.976856\pi\)
\(728\) 7.01174 1.42081i 0.259872 0.0526588i
\(729\) 3.06195 + 26.8258i 0.113406 + 0.993549i
\(730\) 2.08004 + 50.6090i 0.0769858 + 1.87312i
\(731\) 54.7787 2.02606
\(732\) 2.30013 20.9075i 0.0850151 0.772765i
\(733\) 23.8359 23.8359i 0.880398 0.880398i −0.113177 0.993575i \(-0.536103\pi\)
0.993575 + 0.113177i \(0.0361026\pi\)
\(734\) −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
\(738\) 15.8906 + 7.07867i 0.584943 + 0.260569i
\(739\) 29.6476 1.09060 0.545302 0.838240i \(-0.316415\pi\)
0.545302 + 0.838240i \(0.316415\pi\)
\(740\) −17.7413 + 1.91850i −0.652182 + 0.0705256i
\(741\) −4.92704 + 2.97046i −0.180999 + 0.109122i
\(742\) −0.0440556 0.660098i −0.00161733 0.0242330i
\(743\) 8.41878 8.41878i 0.308855 0.308855i −0.535610 0.844465i \(-0.679918\pi\)
0.844465 + 0.535610i \(0.179918\pi\)
\(744\) 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
\(747\) −10.6950 34.6130i −0.391310 1.26642i
\(748\) 21.3945 + 16.3356i 0.782259 + 0.597290i
\(749\) 2.25134i 0.0822620i
\(750\) −23.5944 + 13.9033i −0.861547 + 0.507678i
\(751\) −31.5577 −1.15156 −0.575778 0.817606i \(-0.695301\pi\)
−0.575778 + 0.817606i \(0.695301\pi\)
\(752\) −4.85119 2.77007i −0.176905 0.101014i
\(753\) 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
\(756\) 5.22428 1.00533i 0.190005 0.0365633i
\(757\) 25.5118 + 25.5118i 0.927244 + 0.927244i 0.997527 0.0702832i \(-0.0223903\pi\)
−0.0702832 + 0.997527i \(0.522390\pi\)
\(758\) 0.539733 + 8.08698i 0.0196040 + 0.293732i
\(759\) −23.8599 + 14.3848i −0.866059 + 0.522137i
\(760\) −3.48244 2.43932i −0.126321 0.0884834i
\(761\) 2.30287i 0.0834789i −0.999129 0.0417394i \(-0.986710\pi\)
0.999129 0.0417394i \(-0.0132899\pi\)
\(762\) 19.5975 + 28.0887i 0.709944 + 1.01754i
\(763\) −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
\(768\) 26.5534 7.93195i 0.958164 0.286220i
\(769\) 46.5571i 1.67889i −0.543442 0.839447i \(-0.682879\pi\)
0.543442 0.839447i \(-0.317121\pi\)
\(770\) 4.26016 0.175094i 0.153526 0.00630994i
\(771\) −2.78633 4.62164i −0.100347 0.166444i
\(772\) −18.0157 13.7558i −0.648399 0.495082i
\(773\) −19.2506 19.2506i −0.692397 0.692397i 0.270362