Properties

Label 120.2.w.c.77.8
Level $120$
Weight $2$
Character 120.77
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 77.8
Character \(\chi\) \(=\) 120.77
Dual form 120.2.w.c.53.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0941764 + 1.41107i) q^{2} +(-0.416519 + 1.68122i) q^{3} +(-1.98226 - 0.265780i) q^{4} +(1.62104 + 1.54020i) q^{5} +(-2.33310 - 0.746071i) q^{6} +(-0.361989 - 0.361989i) q^{7} +(0.561717 - 2.77209i) q^{8} +(-2.65302 - 1.40052i) q^{9} +O(q^{10})\) \(q+(-0.0941764 + 1.41107i) q^{2} +(-0.416519 + 1.68122i) 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} +(0.561717 - 2.77209i) q^{8} +(-2.65302 - 1.40052i) q^{9} +(-2.32601 + 2.14236i) q^{10} -2.63380 q^{11} +(1.27249 - 3.22192i) q^{12} +(3.49376 + 3.49376i) q^{13} +(0.544885 - 0.476703i) q^{14} +(-3.26462 + 2.08380i) q^{15} +(3.85872 + 1.05369i) q^{16} +(3.61339 - 3.61339i) q^{17} +(2.22609 - 3.61172i) 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} +(4.42653 + 2.09900i) q^{24} +(0.255538 + 4.99347i) q^{25} +(-5.25899 + 4.60093i) q^{26} +(3.45963 - 3.87698i) q^{27} +(0.621348 + 0.813767i) q^{28} -4.76080i q^{29} +(-2.63295 - 4.80287i) q^{30} +3.73793 q^{31} +(-1.85024 + 5.34571i) q^{32} +(1.09703 - 4.42800i) 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} +(0.0633116 - 0.948617i) q^{38} +(-7.32901 + 4.41857i) q^{39} +(5.18015 - 3.62850i) q^{40} -4.10027i q^{41} +(0.574489 + 1.11463i) q^{42} +(-7.57996 - 7.57996i) q^{43} +(5.22087 + 0.700010i) q^{44} +(-2.14356 - 6.35650i) q^{45} +(-6.50044 + 5.68704i) q^{46} +(0.987537 - 0.987537i) q^{47} +(-3.37872 + 6.04849i) 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} +(5.14489 + 5.24691i) q^{54} +(-4.26949 - 4.05659i) q^{55} +(-1.20680 + 0.800131i) q^{56} +(0.280012 - 1.13023i) q^{57} +(6.71784 + 0.448355i) q^{58} +4.92247i q^{59} +(7.02517 - 3.26298i) q^{60} -6.07190i q^{61} +(-0.352025 + 5.27449i) q^{62} +(0.453392 + 1.46734i) 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} +(-8.12305 + 6.20232i) q^{68} +(-9.05912 + 5.46164i) q^{69} +(1.61750 + 0.0664796i) q^{70} -8.63702i q^{71} +(-5.37262 + 6.56772i) q^{72} +(-11.3261 + 11.3261i) q^{73} +(-3.71562 - 4.24706i) q^{74} +(-8.50157 - 1.65026i) q^{75} +(1.33261 + 0.178675i) q^{76} +(0.953406 + 0.953406i) q^{77} +(-5.54472 - 10.7579i) 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} +(-1.62693 + 0.705675i) q^{84} +(11.4228 - 0.292087i) q^{85} +(11.4097 - 9.98203i) q^{86} +(8.00397 + 1.98296i) q^{87} +(-1.47945 + 7.30111i) q^{88} -6.58584 q^{89} +(9.17137 - 2.42609i) q^{90} -2.52941i q^{91} +(-7.41264 - 9.70819i) q^{92} +(-1.55692 + 6.28429i) 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} +(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 \(\left(\mathbb{Z}/120\mathbb{Z}\right)^\times\).

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

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
\(3\) −0.416519 + 1.68122i −0.240477 + 0.970655i
\(4\) −1.98226 0.265780i −0.991131 0.132890i
\(5\) 1.62104 + 1.54020i 0.724951 + 0.688801i
\(6\) −2.33310 0.746071i −0.952486 0.304582i
\(7\) −0.361989 0.361989i −0.136819 0.136819i 0.635380 0.772199i \(-0.280843\pi\)
−0.772199 + 0.635380i \(0.780843\pi\)
\(8\) 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 \(-0.629969\pi\)
−0.397060 + 0.917793i \(0.629969\pi\)
\(12\) 1.27249 3.22192i 0.367335 0.930089i
\(13\) 3.49376 + 3.49376i 0.968995 + 0.968995i 0.999534 0.0305386i \(-0.00972224\pi\)
−0.0305386 + 0.999534i \(0.509722\pi\)
\(14\) 0.544885 0.476703i 0.145627 0.127404i
\(15\) −3.26462 + 2.08380i −0.842922 + 0.538036i
\(16\) 3.85872 + 1.05369i 0.964681 + 0.263423i
\(17\) 3.61339 3.61339i 0.876376 0.876376i −0.116782 0.993158i \(-0.537258\pi\)
0.993158 + 0.116782i \(0.0372578\pi\)
\(18\) 2.22609 3.61172i 0.524696 0.851290i
\(19\) −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 \(-0.0302868\pi\)
−0.0950052 + 0.995477i \(0.530287\pi\)
\(24\) 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
\(27\) 3.45963 3.87698i 0.665806 0.746125i
\(28\) 0.621348 + 0.813767i 0.117424 + 0.153787i
\(29\) 4.76080i 0.884058i −0.897001 0.442029i \(-0.854259\pi\)
0.897001 0.442029i \(-0.145741\pi\)
\(30\) −2.63295 4.80287i −0.480709 0.876880i
\(31\) 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
\(33\) 1.09703 4.42800i 0.190968 0.770816i
\(34\) 4.75847 + 5.43906i 0.816070 + 0.932791i
\(35\) −0.0292613 1.14434i −0.00494606 0.193428i
\(36\) 4.88676 + 3.48132i 0.814459 + 0.580221i
\(37\) −2.82150 + 2.82150i −0.463851 + 0.463851i −0.899915 0.436064i \(-0.856372\pi\)
0.436064 + 0.899915i \(0.356372\pi\)
\(38\) 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 \(-0.103743\pi\)
\(42\) 0.574489 + 1.11463i 0.0886456 + 0.171991i
\(43\) −7.57996 7.57996i −1.15593 1.15593i −0.985342 0.170591i \(-0.945432\pi\)
−0.170591 0.985342i \(-0.554568\pi\)
\(44\) 5.22087 + 0.700010i 0.787076 + 0.105530i
\(45\) −2.14356 6.35650i −0.319544 0.947572i
\(46\) −6.50044 + 5.68704i −0.958438 + 0.838508i
\(47\) 0.987537 0.987537i 0.144047 0.144047i −0.631406 0.775453i \(-0.717522\pi\)
0.775453 + 0.631406i \(0.217522\pi\)
\(48\) −3.37872 + 6.04849i −0.487676 + 0.873025i
\(49\) 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 \(-0.769990\pi\)
0.661335 + 0.750091i \(0.269990\pi\)
\(54\) 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
\(57\) 0.280012 1.13023i 0.0370884 0.149702i
\(58\) 6.71784 + 0.448355i 0.882096 + 0.0588719i
\(59\) 4.92247i 0.640851i 0.947274 + 0.320425i \(0.103826\pi\)
−0.947274 + 0.320425i \(0.896174\pi\)
\(60\) 7.02517 3.26298i 0.906945 0.421248i
\(61\) 6.07190i 0.777428i −0.921359 0.388714i \(-0.872919\pi\)
0.921359 0.388714i \(-0.127081\pi\)
\(62\) −0.352025 + 5.27449i −0.0447072 + 0.669861i
\(63\) 0.453392 + 1.46734i 0.0571220 + 0.184868i
\(64\) −7.36895 3.11426i −0.921118 0.389283i
\(65\) 0.282417 + 11.0446i 0.0350295 + 1.36992i
\(66\) 6.14492 + 1.96500i 0.756388 + 0.241875i
\(67\) −0.349085 + 0.349085i −0.0426476 + 0.0426476i −0.728109 0.685461i \(-0.759601\pi\)
0.685461 + 0.728109i \(0.259601\pi\)
\(68\) −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 \(-0.171285\pi\)
\(72\) −5.37262 + 6.56772i −0.633170 + 0.774013i
\(73\) −11.3261 + 11.3261i −1.32562 + 1.32562i −0.416465 + 0.909152i \(0.636731\pi\)
−0.909152 + 0.416465i \(0.863269\pi\)
\(74\) −3.71562 4.24706i −0.431932 0.493711i
\(75\) −8.50157 1.65026i −0.981676 0.190555i
\(76\) 1.33261 + 0.178675i 0.152860 + 0.0204954i
\(77\) 0.953406 + 0.953406i 0.108651 + 0.108651i
\(78\) −5.54472 10.7579i −0.627816 1.21809i
\(79\) 4.07707i 0.458706i −0.973343 0.229353i \(-0.926339\pi\)
0.973343 0.229353i \(-0.0736610\pi\)
\(80\) 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 \(-0.519389\pi\)
0.998145 + 0.0608758i \(0.0193894\pi\)
\(84\) −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
\(87\) 8.00397 + 1.98296i 0.858115 + 0.212596i
\(88\) −1.47945 + 7.30111i −0.157710 + 0.778301i
\(89\) −6.58584 −0.698097 −0.349049 0.937105i \(-0.613495\pi\)
−0.349049 + 0.937105i \(0.613495\pi\)
\(90\) 9.17137 2.42609i 0.966748 0.255733i
\(91\) 2.52941i 0.265154i
\(92\) −7.41264 9.70819i −0.772822 1.01215i
\(93\) −1.55692 + 6.28429i −0.161445 + 0.651651i
\(94\) 1.30049 + 1.48649i 0.134135 + 0.153320i
\(95\) −1.08977 1.03543i −0.111808 0.106233i
\(96\) −8.21668 5.33725i −0.838611 0.544731i
\(97\) −0.660859 0.660859i −0.0671001 0.0671001i 0.672760 0.739860i \(-0.265108\pi\)
−0.739860 + 0.672760i \(0.765108\pi\)
\(98\) 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 \(-0.555205\pi\)
−0.172564 + 0.984998i \(0.555205\pi\)
\(102\) −11.1263 + 5.73457i −1.10166 + 0.567807i
\(103\) 8.68806 8.68806i 0.856060 0.856060i −0.134811 0.990871i \(-0.543043\pi\)
0.990871 + 0.134811i \(0.0430428\pi\)
\(104\) 11.6475 7.72251i 1.14213 0.757254i
\(105\) 1.93607 + 0.427443i 0.188941 + 0.0417142i
\(106\) −0.850913 0.972617i −0.0826480 0.0944689i
\(107\) 3.10967 + 3.10967i 0.300623 + 0.300623i 0.841258 0.540634i \(-0.181816\pi\)
−0.540634 + 0.841258i \(0.681816\pi\)
\(108\) −7.88831 + 6.76569i −0.759053 + 0.651029i
\(109\) 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 \(-0.155835\pi\)
−0.470247 + 0.882535i \(0.655835\pi\)
\(114\) 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
\(117\) −4.37594 14.1621i −0.404555 1.30929i
\(118\) −6.94597 0.463580i −0.639428 0.0426760i
\(119\) −2.61602 −0.239810
\(120\) 3.94270 + 10.2203i 0.359917 + 0.932984i
\(121\) −4.06312 −0.369374
\(122\) 8.56791 + 0.571830i 0.775702 + 0.0517711i
\(123\) 6.89347 + 1.70784i 0.621563 + 0.153991i
\(124\) −7.40955 0.993466i −0.665397 0.0892159i
\(125\) −7.27672 + 8.48819i −0.650850 + 0.759206i
\(126\) −2.11323 + 0.501580i −0.188261 + 0.0446843i
\(127\) 9.88701 + 9.88701i 0.877331 + 0.877331i 0.993258 0.115927i \(-0.0369839\pi\)
−0.115927 + 0.993258i \(0.536984\pi\)
\(128\) 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 \(-0.625521\pi\)
−0.384195 + 0.923252i \(0.625521\pi\)
\(132\) −3.35147 + 8.48588i −0.291708 + 0.738601i
\(133\) 0.243353 + 0.243353i 0.0211014 + 0.0211014i
\(134\) −0.459710 0.525461i −0.0397129 0.0453929i
\(135\) 11.5795 0.956203i 0.996608 0.0822968i
\(136\) −7.98693 12.0463i −0.684874 1.03297i
\(137\) −1.48819 + 1.48819i −0.127145 + 0.127145i −0.767816 0.640671i \(-0.778656\pi\)
0.640671 + 0.767816i \(0.278656\pi\)
\(138\) −6.85362 13.2975i −0.583419 1.13195i
\(139\) 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
\(144\) −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
\(147\) 11.3280 + 2.80648i 0.934314 + 0.231474i
\(148\) 6.34284 4.84305i 0.521378 0.398096i
\(149\) 5.22462i 0.428018i −0.976832 0.214009i \(-0.931348\pi\)
0.976832 0.214009i \(-0.0686522\pi\)
\(150\) 3.12928 11.8409i 0.255505 0.966808i
\(151\) −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
\(153\) −14.6470 + 4.52577i −1.18414 + 0.365887i
\(154\) −1.43511 + 1.25554i −0.115645 + 0.101174i
\(155\) 6.05933 + 5.75717i 0.486697 + 0.462427i
\(156\) 15.7024 6.81087i 1.25720 0.545306i
\(157\) −13.9522 + 13.9522i −1.11351 + 1.11351i −0.120836 + 0.992673i \(0.538557\pi\)
−0.992673 + 0.120836i \(0.961443\pi\)
\(158\) 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
\(162\) −10.9642 + 6.46427i −0.861427 + 0.507881i
\(163\) −6.66434 6.66434i −0.521992 0.521992i 0.396181 0.918172i \(-0.370335\pi\)
−0.918172 + 0.396181i \(0.870335\pi\)
\(164\) −1.08977 + 8.12781i −0.0850967 + 0.634675i
\(165\) 8.59835 5.48832i 0.669381 0.427265i
\(166\) 11.2449 + 12.8532i 0.872774 + 0.997604i
\(167\) −15.6456 + 15.6456i −1.21069 + 1.21069i −0.239890 + 0.970800i \(0.577111\pi\)
−0.970800 + 0.239890i \(0.922889\pi\)
\(168\) −0.842542 2.36217i −0.0650035 0.182246i
\(169\) 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 \(-0.861865\pi\)
0.420471 + 0.907306i \(0.361865\pi\)
\(174\) −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
\(177\) −8.27577 2.05030i −0.622045 0.154110i
\(178\) 0.620231 9.29311i 0.0464882 0.696548i
\(179\) 0.582525i 0.0435399i 0.999763 + 0.0217700i \(0.00693014\pi\)
−0.999763 + 0.0217700i \(0.993070\pi\)
\(180\) 2.55967 + 13.1700i 0.190787 + 0.981632i
\(181\) 3.71429i 0.276081i −0.990427 0.138040i \(-0.955920\pi\)
0.990427 0.138040i \(-0.0440804\pi\)
\(182\) 3.56918 + 0.238211i 0.264565 + 0.0176573i
\(183\) 10.2082 + 2.52906i 0.754614 + 0.186954i
\(184\) 14.3971 9.54551i 1.06137 0.703704i
\(185\) −8.91944 + 0.228075i −0.655770 + 0.0167684i
\(186\) −8.72098 2.78876i −0.639453 0.204482i
\(187\) −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 \(0.698270\pi\)
\(192\) 8.30507 11.0917i 0.599367 0.800474i
\(193\) 8.01395 8.01395i 0.576857 0.576857i −0.357179 0.934036i \(-0.616261\pi\)
0.934036 + 0.357179i \(0.116261\pi\)
\(194\) 0.994759 0.870284i 0.0714195 0.0624828i
\(195\) −18.6861 4.12549i −1.33814 0.295433i
\(196\) −1.79081 + 13.3563i −0.127915 + 0.954024i
\(197\) 1.49806 + 1.49806i 0.106733 + 0.106733i 0.758456 0.651724i \(-0.225954\pi\)
−0.651724 + 0.758456i \(0.725954\pi\)
\(198\) −5.86308 + 9.51253i −0.416671 + 0.676026i
\(199\) 12.6160i 0.894328i 0.894452 + 0.447164i \(0.147566\pi\)
−0.894452 + 0.447164i \(0.852434\pi\)
\(200\) 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
\(204\) −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
\(207\) −5.40893 17.5053i −0.375947 1.21670i
\(208\) 9.80011 + 17.1628i 0.679515 + 1.19003i
\(209\) 1.77061 0.122476
\(210\) −0.785487 + 2.69169i −0.0542037 + 0.185744i
\(211\) 14.0010i 0.963865i −0.876208 0.481933i \(-0.839935\pi\)
0.876208 0.481933i \(-0.160065\pi\)
\(212\) 1.45257 1.10910i 0.0997630 0.0761736i
\(213\) 14.5208 + 3.59748i 0.994946 + 0.246496i
\(214\) −4.68083 + 4.09512i −0.319975 + 0.279937i
\(215\) −0.612724 23.9621i −0.0417874 1.63420i
\(216\) −8.80400 11.7682i −0.599036 0.800722i
\(217\) −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
\(222\) 8.68788 4.47781i 0.583092 0.300531i
\(223\) −2.56530 + 2.56530i −0.171785 + 0.171785i −0.787763 0.615978i \(-0.788761\pi\)
0.615978 + 0.787763i \(0.288761\pi\)
\(224\) 2.60486 1.26532i 0.174044 0.0845431i
\(225\) 6.31552 13.6057i 0.421034 0.907045i
\(226\) −6.59704 + 5.77155i −0.438829 + 0.383918i
\(227\) −13.3645 13.3645i −0.887032 0.887032i 0.107205 0.994237i \(-0.465810\pi\)
−0.994237 + 0.107205i \(0.965810\pi\)
\(228\) −0.855448 + 2.16599i −0.0566534 + 0.143446i
\(229\) −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 \(-0.456079\pi\)
−0.990495 + 0.137546i \(0.956079\pi\)
\(234\) 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
\(237\) 6.85446 + 1.69818i 0.445245 + 0.110308i
\(238\) 0.246367 3.69139i 0.0159696 0.239278i
\(239\) 24.8336 1.60635 0.803177 0.595740i \(-0.203141\pi\)
0.803177 + 0.595740i \(0.203141\pi\)
\(240\) −14.7930 + 4.60092i −0.954881 + 0.296988i
\(241\) 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
\(243\) −14.6083 + 5.44043i −0.937121 + 0.349004i
\(244\) −1.61379 + 12.0361i −0.103312 + 0.770532i
\(245\) 10.3778 10.9224i 0.663013 0.697810i
\(246\) −3.05909 + 9.56636i −0.195041 + 0.609929i
\(247\) −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 \(-0.510553\pi\)
−0.0331479 + 0.999450i \(0.510553\pi\)
\(252\) −0.508751 3.02916i −0.0320483 0.190819i
\(253\) −11.3741 11.3741i −0.715082 0.715082i
\(254\) −14.8824 + 13.0202i −0.933807 + 0.816959i
\(255\) −4.26675 + 19.3260i −0.267195 + 1.21024i
\(256\) 13.7795 + 8.13180i 0.861217 + 0.508237i
\(257\) 2.20315 2.20315i 0.137429 0.137429i −0.635046 0.772474i \(-0.719019\pi\)
0.772474 + 0.635046i \(0.219019\pi\)
\(258\) 12.0297 + 23.3400i 0.748934 + 1.45309i
\(259\) 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 \(-0.143966\pi\)
−0.437021 + 0.899451i \(0.643966\pi\)
\(264\) −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
\(267\) 2.74313 11.0723i 0.167877 0.677611i
\(268\) 0.784759 0.599199i 0.0479368 0.0366019i
\(269\) 21.1993i 1.29254i −0.763108 0.646271i \(-0.776327\pi\)
0.763108 0.646271i \(-0.223673\pi\)
\(270\) 0.258754 + 16.4296i 0.0157473 + 0.999876i
\(271\) −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
\(273\) 4.25250 + 1.05355i 0.257373 + 0.0637636i
\(274\) −1.95980 2.24010i −0.118396 0.135330i
\(275\) −0.673036 13.1518i −0.0405856 0.793082i
\(276\) 19.4091 8.41866i 1.16829 0.506744i
\(277\) 8.79593 8.79593i 0.528496 0.528496i −0.391628 0.920124i \(-0.628088\pi\)
0.920124 + 0.391628i \(0.128088\pi\)
\(278\) −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 \(0.995340\pi\)
\(282\) −3.04080 + 1.56726i −0.181077 + 0.0933287i
\(283\) 9.43710 + 9.43710i 0.560978 + 0.560978i 0.929585 0.368608i \(-0.120165\pi\)
−0.368608 + 0.929585i \(0.620165\pi\)
\(284\) −2.29555 + 17.1208i −0.136216 + 1.01593i
\(285\) 2.19469 1.40087i 0.130002 0.0829804i
\(286\) 13.8511 12.1179i 0.819033 0.716547i
\(287\) −1.48425 + 1.48425i −0.0876127 + 0.0876127i
\(288\) 12.3955 11.5910i 0.730413 0.683006i
\(289\) 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 \(-0.803015\pi\)
0.580096 + 0.814548i \(0.303015\pi\)
\(294\) −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
\(297\) −9.11195 + 10.2112i −0.528729 + 0.592512i
\(298\) 7.37233 + 0.492036i 0.427068 + 0.0285029i
\(299\) 30.1757i 1.74510i
\(300\) 16.4137 + 5.53079i 0.947647 + 0.319320i
\(301\) 5.48773i 0.316307i
\(302\) 1.11609 16.7228i 0.0642240 0.962288i
\(303\) 1.44470 5.83132i 0.0829957 0.335001i
\(304\) −2.59409 0.708360i −0.148781 0.0406272i
\(305\) 9.35198 9.84280i 0.535493 0.563597i
\(306\) −5.00679 21.0943i −0.286219 1.20588i
\(307\) 8.00887 8.00887i 0.457091 0.457091i −0.440609 0.897699i \(-0.645237\pi\)
0.897699 + 0.440609i \(0.145237\pi\)
\(308\) −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 \(0.880936\pi\)
\(312\) 8.13185 + 22.7987i 0.460375 + 1.29072i
\(313\) 12.2991 12.2991i 0.695184 0.695184i −0.268184 0.963368i \(-0.586424\pi\)
0.963368 + 0.268184i \(0.0864235\pi\)
\(314\) −18.3736 21.0016i −1.03688 1.18519i
\(315\) −1.52504 + 3.07693i −0.0859262 + 0.173366i
\(316\) −1.08360 + 8.08182i −0.0609574 + 0.454638i
\(317\) 9.24176 + 9.24176i 0.519069 + 0.519069i 0.917290 0.398221i \(-0.130372\pi\)
−0.398221 + 0.917290i \(0.630372\pi\)
\(318\) 1.98961 1.02546i 0.111572 0.0575050i
\(319\) 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
\(324\) −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
\(327\) −1.72572 + 6.96564i −0.0954326 + 0.385201i
\(328\) −11.3663 2.30319i −0.627600 0.127173i
\(329\) −0.714956 −0.0394168
\(330\) 6.93466 + 12.6498i 0.381740 + 0.696347i
\(331\) 22.2355i 1.22218i 0.791563 + 0.611088i \(0.209268\pi\)
−0.791563 + 0.611088i \(0.790732\pi\)
\(332\) −19.1959 + 14.6569i −1.05351 + 0.804403i
\(333\) 11.4371 3.53392i 0.626747 0.193658i
\(334\) −20.6036 23.5505i −1.12738 1.28863i
\(335\) −1.10354 + 0.0282182i −0.0602931 + 0.00154173i
\(336\) 3.41255 0.966428i 0.186170 0.0527230i
\(337\) −8.98693 8.98693i −0.489549 0.489549i 0.418615 0.908164i \(-0.362516\pi\)
−0.908164 + 0.418615i \(0.862516\pi\)
\(338\) −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
\(342\) −1.49653 + 2.42803i −0.0809229 + 0.131293i
\(343\) −4.97298 + 4.97298i −0.268516 + 0.268516i
\(344\) −25.2701 + 16.7545i −1.36247 + 0.903343i
\(345\) −23.0972 5.09937i −1.24351 0.274541i
\(346\) −8.43252 9.63861i −0.453335 0.518175i
\(347\) 9.25494 + 9.25494i 0.496831 + 0.496831i 0.910450 0.413619i \(-0.135735\pi\)
−0.413619 + 0.910450i \(0.635735\pi\)
\(348\) −15.3389 6.05805i −0.822253 0.324745i
\(349\) 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 \(-0.0877419\pi\)
−0.272172 + 0.962249i \(0.587742\pi\)
\(354\) 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
\(357\) 1.08962 4.39811i 0.0576689 0.232773i
\(358\) −0.821985 0.0548601i −0.0434433 0.00289945i
\(359\) 16.5244 0.872125 0.436063 0.899916i \(-0.356373\pi\)
0.436063 + 0.899916i \(0.356373\pi\)
\(360\) −18.8249 + 2.37159i −0.992158 + 0.124994i
\(361\) −18.5481 −0.976214
\(362\) 5.24113 + 0.349798i 0.275468 + 0.0183850i
\(363\) 1.69237 6.83101i 0.0888262 0.358535i
\(364\) −0.672266 + 5.01395i −0.0352363 + 0.262802i
\(365\) −35.8045 + 0.915540i −1.87409 + 0.0479215i
\(366\) −4.53007 + 14.1664i −0.236791 + 0.740489i
\(367\) −24.4900 24.4900i −1.27837 1.27837i −0.941581 0.336786i \(-0.890660\pi\)
−0.336786 0.941581i \(-0.609340\pi\)
\(368\) 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
\(372\) 4.75646 12.0433i 0.246611 0.624417i
\(373\) 0.406084 + 0.406084i 0.0210262 + 0.0210262i 0.717542 0.696516i \(-0.245267\pi\)
−0.696516 + 0.717542i \(0.745267\pi\)
\(374\) −12.5328 14.3254i −0.648057 0.740747i
\(375\) −11.2396 15.7693i −0.580413 0.814323i
\(376\) −2.18282 3.29226i −0.112571 0.169785i
\(377\) 16.6331 16.6331i 0.856648 0.856648i
\(378\) 0.0369302 3.76172i 0.00189948 0.193482i
\(379\) 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 \(-0.464346\pi\)
−0.993734 + 0.111775i \(0.964346\pi\)
\(384\) 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
\(387\) 9.49390 + 30.7257i 0.482602 + 1.56188i
\(388\) 1.13435 + 1.48564i 0.0575880 + 0.0754219i
\(389\) 27.9300i 1.41611i 0.706159 + 0.708053i \(0.250426\pi\)
−0.706159 + 0.708053i \(0.749574\pi\)
\(390\) 7.58117 25.9790i 0.383888 1.31550i
\(391\) 31.2089 1.57830
\(392\) −18.6781 3.78481i −0.943388 0.191162i
\(393\) 3.66313 14.7857i 0.184780 0.745841i
\(394\) −2.25496 + 1.97280i −0.113603 + 0.0993881i
\(395\) 6.27952 6.60909i 0.315957 0.332539i
\(396\) −12.8707 9.16910i −0.646778 0.460764i
\(397\) 3.16232 3.16232i 0.158712 0.158712i −0.623284 0.781996i \(-0.714202\pi\)
0.781996 + 0.623284i \(0.214202\pi\)
\(398\) −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 \(0.909342\pi\)
\(402\) 1.07490 0.554010i 0.0536109 0.0276315i
\(403\) 13.0594 + 13.0594i 0.650536 + 0.650536i
\(404\) 6.87548 + 0.921858i 0.342068 + 0.0458641i
\(405\) −3.21551 + 19.8661i −0.159780 + 0.987153i
\(406\) −2.26949 2.59409i −0.112633 0.128742i
\(407\) 7.43124 7.43124i 0.368353 0.368353i
\(408\) 23.5793 8.41028i 1.16735 0.416371i
\(409\) 5.05965i 0.250183i −0.992145 0.125092i \(-0.960077\pi\)
0.992145 0.125092i \(-0.0399225\pi\)
\(410\) 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
\(414\) 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
\(417\) −5.54086 + 22.3649i −0.271337 + 1.09522i
\(418\) −0.166750 + 2.49846i −0.00815600 + 0.122204i
\(419\) 25.1822i 1.23023i −0.788436 0.615116i \(-0.789109\pi\)
0.788436 0.615116i \(-0.210891\pi\)
\(420\) −3.72420 1.36187i −0.181722 0.0664526i
\(421\) 31.5091i 1.53566i −0.640654 0.767830i \(-0.721336\pi\)
0.640654 0.767830i \(-0.278664\pi\)
\(422\) 19.7564 + 1.31856i 0.961726 + 0.0641865i
\(423\) −4.00303 + 1.23689i −0.194634 + 0.0601397i
\(424\) 1.42823 + 2.15414i 0.0693610 + 0.104614i
\(425\) 18.9667 + 17.1200i 0.920020 + 0.830441i
\(426\) −6.44383 + 20.1511i −0.312205 + 0.976323i
\(427\) −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 \(-0.106287\pi\)
\(432\) 17.4349 11.3148i 0.838836 0.544384i
\(433\) 2.81500 2.81500i 0.135280 0.135280i −0.636224 0.771504i \(-0.719505\pi\)
0.771504 + 0.636224i \(0.219505\pi\)
\(434\) 2.03674 1.78188i 0.0977666 0.0855330i
\(435\) 9.92058 + 15.5422i 0.475655 + 0.745192i
\(436\) −8.21290 1.10118i −0.393327 0.0527369i
\(437\) −2.90319 2.90319i −0.138878 0.138878i
\(438\) 34.8750 17.9749i 1.66639 0.858872i
\(439\) 5.56599i 0.265650i −0.991139 0.132825i \(-0.957595\pi\)
0.991139 0.132825i \(-0.0424049\pi\)
\(440\) −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 \(-0.787887\pi\)
0.618139 + 0.786069i \(0.287887\pi\)
\(444\) 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
\(447\) 8.78376 + 2.17616i 0.415458 + 0.102929i
\(448\) 1.54015 + 3.79481i 0.0727653 + 0.179288i
\(449\) −21.1895 −0.999995 −0.499998 0.866027i \(-0.666666\pi\)
−0.499998 + 0.866027i \(0.666666\pi\)
\(450\) 18.6038 + 10.1930i 0.876993 + 0.480502i
\(451\) 10.7993i 0.508518i
\(452\) −7.52280 9.85246i −0.353843 0.463421i
\(453\) 4.93621 19.9243i 0.231923 0.936127i
\(454\) 20.1169 17.5997i 0.944133 0.825993i
\(455\) 3.89581 4.10027i 0.182638 0.192224i
\(456\) −2.97581 1.41109i −0.139355 0.0660802i
\(457\) 16.8790 + 16.8790i 0.789566 + 0.789566i 0.981423 0.191857i \(-0.0614509\pi\)
−0.191857 + 0.981423i \(0.561451\pi\)
\(458\) 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 \(-0.473366\pi\)
0.0835749 + 0.996502i \(0.473366\pi\)
\(462\) −1.51309 2.93570i −0.0703952 0.136581i
\(463\) −26.4996 + 26.4996i −1.23154 + 1.23154i −0.268168 + 0.963372i \(0.586418\pi\)
−0.963372 + 0.268168i \(0.913582\pi\)
\(464\) 5.01641 18.3706i 0.232881 0.852834i
\(465\) −12.2029 + 7.78911i −0.565897 + 0.361211i
\(466\) 19.5979 17.1456i 0.907856 0.794256i
\(467\) −21.1839 21.1839i −0.980274 0.980274i 0.0195348 0.999809i \(-0.493781\pi\)
−0.999809 + 0.0195348i \(0.993781\pi\)
\(468\) 4.91024 + 29.2361i 0.226976 + 1.35144i
\(469\) 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
\(474\) −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
\(477\) 2.61920 0.809302i 0.119925 0.0370554i
\(478\) −2.33874 + 35.0421i −0.106972 + 1.60279i
\(479\) −2.58847 −0.118270 −0.0591350 0.998250i \(-0.518834\pi\)
−0.0591350 + 0.998250i \(0.518834\pi\)
\(480\) −5.09910 21.3073i −0.232741 0.972539i
\(481\) −19.7153 −0.898939
\(482\) −1.62916 + 24.4103i −0.0742063 + 1.11186i
\(483\) 5.25636 + 1.30225i 0.239173 + 0.0592545i
\(484\) 8.05417 + 1.07990i 0.366098 + 0.0490861i
\(485\) −0.0534204 2.08914i −0.00242569 0.0948628i
\(486\) −6.30110 21.1257i −0.285824 0.958282i
\(487\) 8.29975 + 8.29975i 0.376098 + 0.376098i 0.869692 0.493595i \(-0.164317\pi\)
−0.493595 + 0.869692i \(0.664317\pi\)
\(488\) −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 \(-0.305985\pi\)
0.572472 + 0.819924i \(0.305985\pi\)
\(492\) −13.2108 5.21753i −0.595587 0.235225i
\(493\) −17.2026 17.2026i −0.774767 0.774767i
\(494\) 3.53544 3.09305i 0.159067 0.139163i
\(495\) 5.64571 + 16.7417i 0.253756 + 0.752485i
\(496\) 14.4236 + 3.93862i 0.647640 + 0.176849i
\(497\) −3.12651 + 3.12651i −0.140243 + 0.140243i
\(498\) −26.2929 + 13.5516i −1.17821 + 0.607261i
\(499\) −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 \(-0.305171\pi\)
−0.818458 + 0.574566i \(0.805171\pi\)
\(504\) 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
\(507\) −19.1874 4.75362i −0.852140 0.211116i
\(508\) −16.9709 22.2264i −0.752961 0.986138i
\(509\) 21.6722i 0.960605i −0.877103 0.480303i \(-0.840527\pi\)
0.877103 0.480303i \(-0.159473\pi\)
\(510\) −26.8685 7.84076i −1.18976 0.347195i
\(511\) 8.19983 0.362739
\(512\) −12.7723 + 18.6780i −0.564460 + 0.825460i
\(513\) −2.32579 + 2.60636i −0.102686 + 0.115074i
\(514\) 2.90132 + 3.31629i 0.127972 + 0.146275i
\(515\) 27.4651 0.702297i 1.21026 0.0309469i
\(516\) −34.0674 + 14.7767i −1.49974 + 0.650506i
\(517\) −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 \(-0.0920893\pi\)
\(522\) −17.1947 10.5980i −0.752590 0.463861i
\(523\) 1.57962 + 1.57962i 0.0690720 + 0.0690720i 0.740799 0.671727i \(-0.234447\pi\)
−0.671727 + 0.740799i \(0.734447\pi\)
\(524\) 17.4332 + 2.33743i 0.761574 + 0.102111i
\(525\) 2.48010 + 3.67485i 0.108240 + 0.160384i
\(526\) −11.2884 + 9.87589i −0.492198 + 0.430609i
\(527\) 13.5066 13.5066i 0.588356 0.588356i
\(528\) 8.89886 15.9305i 0.387273 0.693286i
\(529\) 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
\(534\) 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
\(537\) −0.979354 0.242633i −0.0422622 0.0104704i
\(538\) 29.9137 + 1.99647i 1.28967 + 0.0860740i
\(539\) 17.7463i 0.764388i
\(540\) −23.2078 1.18216i −0.998705 0.0508722i
\(541\) 38.6062i 1.65981i 0.557903 + 0.829906i \(0.311606\pi\)
−0.557903 + 0.829906i \(0.688394\pi\)
\(542\) 1.38202 20.7072i 0.0593629 0.889452i
\(543\) 6.24454 + 1.54707i 0.267979 + 0.0663912i
\(544\) 12.6305 + 26.0018i 0.541529 + 1.11482i
\(545\) 6.71629 + 6.38137i 0.287694 + 0.273348i
\(546\) −1.88712 + 5.90137i −0.0807612 + 0.252556i
\(547\) −16.8276 + 16.8276i −0.719498 + 0.719498i −0.968502 0.249005i \(-0.919897\pi\)
0.249005 + 0.968502i \(0.419897\pi\)
\(548\) 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
\(552\) 10.0515 + 28.1806i 0.427819 + 1.19945i
\(553\) −1.47586 + 1.47586i −0.0627597 + 0.0627597i
\(554\) 11.5833 + 13.2401i 0.492129 + 0.562517i
\(555\) 3.33167 15.0906i 0.141422 0.640559i
\(556\) −26.3696 3.53561i −1.11832 0.149943i
\(557\) 15.9467 + 15.9467i 0.675684 + 0.675684i 0.959020 0.283337i \(-0.0914414\pi\)
−0.283337 + 0.959020i \(0.591441\pi\)
\(558\) 8.32098 13.5003i 0.352255 0.571515i
\(559\) 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 \(-0.771640\pi\)
0.657438 + 0.753509i \(0.271640\pi\)
\(564\) −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
\(567\) 0.852186 4.52787i 0.0357885 0.190153i
\(568\) −23.9426 4.85156i −1.00461 0.203567i
\(569\) −38.0835 −1.59654 −0.798272 0.602297i \(-0.794252\pi\)
−0.798272 + 0.602297i \(0.794252\pi\)
\(570\) 1.77004 + 3.22880i 0.0741390 + 0.135240i
\(571\) 39.4382i 1.65044i −0.564815 0.825218i \(-0.691052\pi\)
0.564815 0.825218i \(-0.308948\pi\)
\(572\) 15.7948 + 20.6861i 0.660414 + 0.864931i
\(573\) −37.7429 9.35070i −1.57673 0.390631i
\(574\) −1.95461 2.23417i −0.0815839 0.0932526i
\(575\) −20.4608 + 22.6679i −0.853274 + 0.945316i
\(576\) 15.1884 + 18.5826i 0.632850 + 0.774275i
\(577\) 15.6617 + 15.6617i 0.652007 + 0.652007i 0.953476 0.301469i \(-0.0974770\pi\)
−0.301469 + 0.953476i \(0.597477\pi\)
\(578\) 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
\(582\) 1.04881 + 2.03490i 0.0434744 + 0.0843494i
\(583\) 1.70183 1.70183i 0.0704824 0.0704824i
\(584\) 25.0348 + 37.7589i 1.03595 + 1.56248i
\(585\) 14.7190 29.6972i 0.608556 1.22783i
\(586\) −5.28492 6.04081i −0.218318 0.249544i
\(587\) −8.03380 8.03380i −0.331590 0.331590i 0.521600 0.853190i \(-0.325335\pi\)
−0.853190 + 0.521600i \(0.825335\pi\)
\(588\) −21.7091 8.57391i −0.895267 0.353582i
\(589\) −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 \(-0.400779\pi\)
−0.951810 + 0.306688i \(0.900779\pi\)
\(594\) −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
\(597\) −21.2104 5.25482i −0.868083 0.215066i
\(598\) −42.5801 2.84184i −1.74123 0.116211i
\(599\) −16.2242 −0.662902 −0.331451 0.943473i \(-0.607538\pi\)
−0.331451 + 0.943473i \(0.607538\pi\)
\(600\) −9.35014 + 22.6401i −0.381718 + 0.924279i
\(601\) 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
\(603\) 1.41503 0.437230i 0.0576247 0.0178054i
\(604\) 23.4920 + 3.14978i 0.955875 + 0.128163i
\(605\) −6.58648 6.25804i −0.267778 0.254425i
\(606\) 8.09238 + 2.58775i 0.328730 + 0.105120i
\(607\) 26.6799 + 26.6799i 1.08290 + 1.08290i 0.996238 + 0.0866645i \(0.0276208\pi\)
0.0866645 + 0.996238i \(0.472379\pi\)
\(608\) 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
\(612\) 30.2371 5.07837i 1.22226 0.205281i
\(613\) 11.2416 + 11.2416i 0.454046 + 0.454046i 0.896695 0.442649i \(-0.145961\pi\)
−0.442649 + 0.896695i \(0.645961\pi\)
\(614\) 10.5469 + 12.0554i 0.425637 + 0.486515i
\(615\) 8.54416 + 13.3858i 0.344534 + 0.539769i
\(616\) 3.17847 2.10738i 0.128064 0.0849088i
\(617\) −15.8402 + 15.8402i −0.637702 + 0.637702i −0.949988 0.312286i \(-0.898905\pi\)
0.312286 + 0.949988i \(0.398905\pi\)
\(618\) −26.7521 + 13.7882i −1.07613 + 0.554645i
\(619\) −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
\(624\) −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
\(627\) −0.737493 + 2.97679i −0.0294526 + 0.118882i
\(628\) 31.3652 23.9487i 1.25161 0.955658i
\(629\) 20.3903i 0.813016i
\(630\) −4.19816 2.44172i −0.167259 0.0972804i
\(631\) 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
\(633\) 23.5387 + 5.83166i 0.935580 + 0.231788i
\(634\) −13.9112 + 12.1705i −0.552483 + 0.483350i
\(635\) 0.799214 + 31.2553i 0.0317158 + 1.24033i
\(636\) 1.25963 + 2.90406i 0.0499475 + 0.115153i
\(637\) 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 \(-0.314267\pi\)
\(642\) −4.93515 9.57522i −0.194775 0.377904i
\(643\) 15.1060 + 15.1060i 0.595722 + 0.595722i 0.939171 0.343449i \(-0.111595\pi\)
−0.343449 + 0.939171i \(0.611595\pi\)
\(644\) −0.830963 + 6.19756i −0.0327445 + 0.244218i
\(645\) 40.5409 + 8.95055i 1.59630 + 0.352428i
\(646\) −3.19895 3.65649i −0.125861 0.143863i
\(647\) −11.1088 + 11.1088i −0.436732 + 0.436732i −0.890911 0.454178i \(-0.849933\pi\)
0.454178 + 0.890911i \(0.349933\pi\)
\(648\) 23.4519 9.89982i 0.921279 0.388902i
\(649\) 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 \(-0.890782\pi\)
0.336426 + 0.941710i \(0.390782\pi\)
\(654\) −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
\(657\) 45.9108 14.1859i 1.79115 0.553445i
\(658\) 0.0673320 1.00886i 0.00262487 0.0393293i
\(659\) 5.93274i 0.231107i −0.993301 0.115553i \(-0.963136\pi\)
0.993301 0.115553i \(-0.0368641\pi\)
\(660\) −18.5029 + 8.59401i −0.720223 + 0.334521i
\(661\) 28.1054i 1.09317i 0.837403 + 0.546586i \(0.184073\pi\)
−0.837403 + 0.546586i \(0.815927\pi\)
\(662\) −31.3760 2.09406i −1.21946 0.0813881i
\(663\) −10.5165 + 42.4486i −0.408429 + 1.64857i
\(664\) −18.8742 28.4671i −0.732461 1.10474i
\(665\) 0.0196714 + 0.769298i 0.000762823 + 0.0298321i
\(666\) 3.90953 + 16.4714i 0.151491 + 0.638252i
\(667\) 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
\(672\) 1.04232 + 4.90638i 0.0402084 + 0.189268i
\(673\) −15.2277 + 15.2277i −0.586986 + 0.586986i −0.936814 0.349828i \(-0.886240\pi\)
0.349828 + 0.936814i \(0.386240\pi\)
\(674\) 13.5276 11.8349i 0.521063 0.455862i
\(675\) 20.2436 + 16.2848i 0.779178 + 0.626803i
\(676\) 3.03327 22.6230i 0.116664 0.870116i
\(677\) −28.2327 28.2327i −1.08507 1.08507i −0.996028 0.0890415i \(-0.971620\pi\)
−0.0890415 0.996028i \(-0.528380\pi\)
\(678\) −6.95547 13.4951i −0.267123 0.518275i
\(679\) 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 \(-0.999681\pi\)
0.00100333 + 0.999999i \(0.499681\pi\)
\(684\) −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
\(687\) 6.56460 26.4971i 0.250455 1.01093i
\(688\) −21.2620 37.2359i −0.810607 1.41961i
\(689\) −4.51498 −0.172007
\(690\) 9.37081 32.1117i 0.356741 1.22247i
\(691\) 9.65683i 0.367363i 0.982986 + 0.183682i \(0.0588015\pi\)
−0.982986 + 0.183682i \(0.941198\pi\)
\(692\) 14.3949 10.9912i 0.547213 0.417822i
\(693\) −1.19414 3.86468i −0.0453617 0.146807i
\(694\) −13.9310 + 12.1878i −0.528814 + 0.462643i
\(695\) 21.5643 + 20.4890i 0.817982 + 0.777192i
\(696\) 9.99292 21.0738i 0.378781 0.798802i
\(697\) −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 \(-0.361959\pi\)
0.420202 + 0.907431i \(0.361959\pi\)
\(702\) −0.356434 + 36.3065i −0.0134527 + 1.37030i
\(703\) 1.89679 1.89679i 0.0715390 0.0715390i
\(704\) 19.4083 + 8.20233i 0.731478 + 0.309137i
\(705\) −1.16610 + 5.28177i −0.0439179 + 0.198923i
\(706\) −19.5161 + 17.0741i −0.734499 + 0.642591i
\(707\) 1.25556 + 1.25556i 0.0472202 + 0.0472202i
\(708\) 15.8598 + 6.26377i 0.596048 + 0.235407i
\(709\) 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
\(714\) 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
\(717\) −10.3437 + 41.7509i −0.386292 + 1.55922i
\(718\) −1.55621 + 23.3172i −0.0580772 + 0.870189i
\(719\) 4.65932 0.173763 0.0868817 0.996219i \(-0.472310\pi\)
0.0868817 + 0.996219i \(0.472310\pi\)
\(720\) −1.57363 26.7866i −0.0586457 0.998279i
\(721\) −6.28997 −0.234251
\(722\) 1.74679 26.1727i 0.0650088 0.974047i
\(723\) −7.20539 + 29.0836i −0.267971 + 1.08163i
\(724\) −0.987182 + 7.36268i −0.0366883 + 0.273632i
\(725\) 23.7729 1.21657i 0.882903 0.0451821i
\(726\) 9.47968 + 3.03138i 0.351824 + 0.112505i
\(727\) −28.8504 28.8504i −1.07000 1.07000i −0.997358 0.0726443i \(-0.976856\pi\)
−0.0726443 0.997358i \(-0.523144\pi\)
\(728\) −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
\(732\) −19.5632 7.72641i −0.723077 0.285576i
\(733\) 23.8359 + 23.8359i 0.880398 + 0.880398i 0.993575 0.113177i \(-0.0361026\pi\)
−0.113177 + 0.993575i \(0.536103\pi\)
\(734\) 36.8636 32.2508i 1.36066 1.19040i
\(735\) 14.0405 + 21.9968i 0.517893 + 0.811364i
\(736\) −31.0758 + 15.0952i −1.14547 + 0.556418i
\(737\) 0.919420 0.919420i 0.0338673 0.0338673i
\(738\) −14.8090 9.12759i −0.545128 0.335991i
\(739\) 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 \(-0.320082\pi\)
−0.844465 + 0.535610i \(0.820082\pi\)
\(744\) 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
\(747\) −34.6130 + 10.6950i −1.26642 + 0.391310i
\(748\) 21.3945 16.3356i 0.782259 0.597290i
\(749\) 2.25134i 0.0822620i
\(750\) 23.3101 14.3749i 0.851166 0.524896i
\(751\) −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
\(753\) 0.437480 1.76583i 0.0159426 0.0643503i
\(754\) 21.9041 + 25.0370i 0.797700 + 0.911793i
\(755\) −19.2111 18.2531i −0.699163 0.664299i
\(756\) 5.30459 + 0.406377i 0.192926 + 0.0147798i
\(757\) 25.5118 25.5118i 0.927244 0.927244i −0.0702832 0.997527i \(-0.522390\pi\)
0.997527 + 0.0702832i \(0.0223903\pi\)
\(758\) −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 \(-0.0132899\pi\)
\(762\) −15.6910 30.4439i −0.568426 1.10286i
\(763\) −1.49979 1.49979i −0.0542962 0.0542962i
\(764\) 5.96666 44.5011i 0.215866 1.60999i
\(765\) −30.7141 15.2230i −1.11047 0.550389i
\(766\) 25.9810 22.7300i 0.938733 0.821269i
\(767\) −17.1979 + 17.1979i −0.620981 + 0.620981i
\(768\) −19.4108 + 19.7793i −0.700426 + 0.713725i
\(769\) 46.5571i 1.67889i 0.543442 + 0.839447i \(0.317121\pi\)
−0.543442 + 0.839447i \(0.682879\pi\)
\(770\) −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