Properties

Label 120.2.w.c.53.8
Level $120$
Weight $2$
Character 120.53
Analytic conductor $0.958$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

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 53.8
Character \(\chi\) \(=\) 120.53
Dual form 120.2.w.c.77.8

$q$-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 \(\left(\mathbb{Z}/120\mathbb{Z}\right)^\times\).

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

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
\(3\) −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 −0.772199 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 \(-0.629969\pi\)
−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 −0.0305386 0.999534i \(-0.509722\pi\)
0.999534 + 0.0305386i \(0.00972224\pi\)
\(14\) 0.544885 + 0.476703i 0.145627 + 0.127404i
\(15\) −3.26462 2.08380i −0.842922 0.538036i
\(16\) 3.85872 1.05369i 0.964681 0.263423i
\(17\) 3.61339 + 3.61339i 0.876376 + 0.876376i 0.993158 0.116782i \(-0.0372578\pi\)
−0.116782 + 0.993158i \(0.537258\pi\)
\(18\) 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 −0.0950052 0.995477i \(-0.530287\pi\)
0.995477 + 0.0950052i \(0.0302868\pi\)
\(24\) 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 \(0.145741\pi\)
−0.897001 + 0.442029i \(0.854259\pi\)
\(30\) −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 0.436064 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 \(0.103743\pi\)
−0.947358 + 0.320177i \(0.896257\pi\)
\(42\) 0.574489 1.11463i 0.0886456 0.171991i
\(43\) −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
\(45\) −2.14356 + 6.35650i −0.319544 + 0.947572i
\(46\) −6.50044 5.68704i −0.958438 0.838508i
\(47\) 0.987537 + 0.987537i 0.144047 + 0.144047i 0.775453 0.631406i \(-0.217522\pi\)
−0.631406 + 0.775453i \(0.717522\pi\)
\(48\) −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 0.661335 0.750091i \(-0.269990\pi\)
−0.750091 + 0.661335i \(0.769990\pi\)
\(54\) 5.14489 5.24691i 0.700131 0.714014i
\(55\) −4.26949 + 4.05659i −0.575698 + 0.546990i
\(56\) −1.20680 0.800131i −0.161266 0.106922i
\(57\) 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 \(-0.896174\pi\)
0.947274 0.320425i \(-0.103826\pi\)
\(60\) 7.02517 + 3.26298i 0.906945 + 0.421248i
\(61\) 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
\(63\) 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 0.685461 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 \(0.171285\pi\)
−0.858680 + 0.512513i \(0.828715\pi\)
\(72\) −5.37262 6.56772i −0.633170 0.774013i
\(73\) −11.3261 11.3261i −1.32562 1.32562i −0.909152 0.416465i \(-0.863269\pi\)
−0.416465 0.909152i \(-0.636731\pi\)
\(74\) −3.71562 + 4.24706i −0.431932 + 0.493711i
\(75\) −8.50157 + 1.65026i −0.981676 + 0.190555i
\(76\) 1.33261 0.178675i 0.152860 0.0204954i
\(77\) 0.953406 0.953406i 0.108651 0.108651i
\(78\) −5.54472 + 10.7579i −0.627816 + 1.21809i
\(79\) 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 0.998145 0.0608758i \(-0.0193894\pi\)
−0.0608758 + 0.998145i \(0.519389\pi\)
\(84\) −1.62693 0.705675i −0.177512 0.0769955i
\(85\) 11.4228 + 0.292087i 1.23898 + 0.0316813i
\(86\) 11.4097 + 9.98203i 1.23034 + 1.07639i
\(87\) 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 −0.739860 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 \(-0.555205\pi\)
−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 0.990871 0.134811i \(-0.0430428\pi\)
−0.134811 + 0.990871i \(0.543043\pi\)
\(104\) 11.6475 + 7.72251i 1.14213 + 0.757254i
\(105\) 1.93607 0.427443i 0.188941 0.0417142i
\(106\) −0.850913 + 0.972617i −0.0826480 + 0.0944689i
\(107\) 3.10967 3.10967i 0.300623 0.300623i −0.540634 0.841258i \(-0.681816\pi\)
0.841258 + 0.540634i \(0.181816\pi\)
\(108\) −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 −0.470247 0.882535i \(-0.655835\pi\)
0.882535 + 0.470247i \(0.155835\pi\)
\(114\) 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 −0.115927 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 \(-0.625521\pi\)
−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 0.640671 0.767816i \(-0.278656\pi\)
−0.767816 + 0.640671i \(0.778656\pi\)
\(138\) −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 \(0.0686522\pi\)
−0.976832 + 0.214009i \(0.931348\pi\)
\(150\) 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 −0.992673 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
\(162\) −10.9642 6.46427i −0.861427 0.507881i
\(163\) −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
\(165\) 8.59835 + 5.48832i 0.669381 + 0.427265i
\(166\) 11.2449 12.8532i 0.872774 0.997604i
\(167\) −15.6456 15.6456i −1.21069 1.21069i −0.970800 0.239890i \(-0.922889\pi\)
−0.239890 0.970800i \(-0.577111\pi\)
\(168\) −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 0.420471 0.907306i \(-0.361865\pi\)
−0.907306 + 0.420471i \(0.861865\pi\)
\(174\) −3.55189 11.1074i −0.269268 0.842053i
\(175\) 1.71508 + 1.90008i 0.129648 + 0.143633i
\(176\) −10.1631 + 2.77521i −0.766071 + 0.209189i
\(177\) −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 \(-0.993070\pi\)
0.999763 0.0217700i \(-0.00693014\pi\)
\(180\) 2.55967 13.1700i 0.190787 0.981632i
\(181\) 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
\(183\) 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 \(-0.698270\pi\)
0.583380 0.812199i \(-0.301730\pi\)
\(192\) 8.30507 + 11.0917i 0.599367 + 0.800474i
\(193\) 8.01395 + 8.01395i 0.576857 + 0.576857i 0.934036 0.357179i \(-0.116261\pi\)
−0.357179 + 0.934036i \(0.616261\pi\)
\(194\) 0.994759 + 0.870284i 0.0714195 + 0.0624828i
\(195\) −18.6861 + 4.12549i −1.33814 + 0.295433i
\(196\) −1.79081 13.3563i −0.127915 0.954024i
\(197\) 1.49806 1.49806i 0.106733 0.106733i −0.651724 0.758456i \(-0.725954\pi\)
0.758456 + 0.651724i \(0.225954\pi\)
\(198\) −5.86308 9.51253i −0.416671 0.676026i
\(199\) 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
\(204\) −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 \(0.160065\pi\)
−0.876208 + 0.481933i \(0.839935\pi\)
\(212\) 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 0.615978 0.787763i \(-0.288761\pi\)
−0.787763 + 0.615978i \(0.788761\pi\)
\(224\) 2.60486 + 1.26532i 0.174044 + 0.0845431i
\(225\) 6.31552 + 13.6057i 0.421034 + 0.907045i
\(226\) −6.59704 5.77155i −0.438829 0.383918i
\(227\) −13.3645 + 13.3645i −0.887032 + 0.887032i −0.994237 0.107205i \(-0.965810\pi\)
0.107205 + 0.994237i \(0.465810\pi\)
\(228\) −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 −0.990495 0.137546i \(-0.956079\pi\)
0.137546 + 0.990495i \(0.456079\pi\)
\(234\) 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 0.772474 0.635046i \(-0.219019\pi\)
−0.635046 + 0.772474i \(0.719019\pi\)
\(258\) 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 −0.437021 0.899451i \(-0.643966\pi\)
0.899451 + 0.437021i \(0.143966\pi\)
\(264\) −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 \(0.223673\pi\)
−0.763108 + 0.646271i \(0.776327\pi\)
\(270\) 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 0.920124 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 \(-0.995340\pi\)
0.999893 0.0146399i \(-0.00466021\pi\)
\(282\) −3.04080 1.56726i −0.181077 0.0933287i
\(283\) 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
\(285\) 2.19469 + 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 0.580096 0.814548i \(-0.303015\pi\)
−0.814548 + 0.580096i \(0.803015\pi\)
\(294\) −5.02697 15.7203i −0.293179 0.916826i
\(295\) −7.58161 7.97952i −0.441418 0.464585i
\(296\) 6.23655 9.40632i 0.362492 0.546731i
\(297\) −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 0.897699 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 \(-0.880936\pi\)
0.930855 0.365389i \(-0.119064\pi\)
\(312\) 8.13185 22.7987i 0.460375 1.29072i
\(313\) 12.2991 + 12.2991i 0.695184 + 0.695184i 0.963368 0.268184i \(-0.0864235\pi\)
−0.268184 + 0.963368i \(0.586424\pi\)
\(314\) −18.3736 + 21.0016i −1.03688 + 1.18519i
\(315\) −1.52504 3.07693i −0.0859262 0.173366i
\(316\) −1.08360 8.08182i −0.0609574 0.454638i
\(317\) 9.24176 9.24176i 0.519069 0.519069i −0.398221 0.917290i \(-0.630372\pi\)
0.917290 + 0.398221i \(0.130372\pi\)
\(318\) 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 \(-0.790732\pi\)
0.791563 0.611088i \(-0.209268\pi\)
\(332\) −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 −0.908164 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
\(342\) −1.49653 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 −0.413619 0.910450i \(-0.635735\pi\)
0.910450 + 0.413619i \(0.135735\pi\)
\(348\) −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 −0.272172 0.962249i \(-0.587742\pi\)
0.962249 + 0.272172i \(0.0877419\pi\)
\(354\) 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 −0.336786 + 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
\(372\) 4.75646 + 12.0433i 0.246611 + 0.624417i
\(373\) 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
\(375\) −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 −0.993734 0.111775i \(-0.964346\pi\)
0.111775 + 0.993734i \(0.464346\pi\)
\(384\) 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 \(-0.749574\pi\)
0.706159 0.708053i \(-0.250426\pi\)
\(390\) 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 0.781996 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 \(-0.909342\pi\)
0.959715 0.280975i \(-0.0906578\pi\)
\(402\) 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 \(0.0399225\pi\)
−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
\(414\) 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 \(0.210891\pi\)
−0.788436 + 0.615116i \(0.789109\pi\)
\(420\) −3.72420 + 1.36187i −0.181722 + 0.0664526i
\(421\) 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
\(423\) −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 \(0.106287\pi\)
−0.944768 + 0.327741i \(0.893713\pi\)
\(432\) 17.4349 + 11.3148i 0.838836 + 0.544384i
\(433\) 2.81500 + 2.81500i 0.135280 + 0.135280i 0.771504 0.636224i \(-0.219505\pi\)
−0.636224 + 0.771504i \(0.719505\pi\)
\(434\) 2.03674 + 1.78188i 0.0977666 + 0.0855330i
\(435\) 9.92058 15.5422i 0.475655 0.745192i
\(436\) −8.21290 + 1.10118i −0.393327 + 0.0527369i
\(437\) −2.90319 + 2.90319i −0.138878 + 0.138878i
\(438\) 34.8750 + 17.9749i 1.66639 + 0.858872i
\(439\) 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 0.618139 0.786069i \(-0.287887\pi\)
−0.786069 + 0.618139i \(0.787887\pi\)
\(444\) 5.50033 12.6809i 0.261034 0.601811i
\(445\) −10.6759 + 10.1435i −0.506086 + 0.480850i
\(446\) −3.37823 + 3.86141i −0.159964 + 0.182843i
\(447\) 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 −0.191857 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 \(-0.473366\pi\)
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 −0.963372 0.268168i \(-0.913582\pi\)
−0.268168 0.963372i \(-0.586418\pi\)
\(464\) 5.01641 + 18.3706i 0.232881 + 0.852834i
\(465\) −12.2029 7.78911i −0.565897 0.361211i
\(466\) 19.5979 + 17.1456i 0.907856 + 0.794256i
\(467\) −21.1839 + 21.1839i −0.980274 + 0.980274i −0.999809 0.0195348i \(-0.993781\pi\)
0.0195348 + 0.999809i \(0.493781\pi\)
\(468\) 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 −0.493595 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 \(-0.305985\pi\)
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 −0.818458 0.574566i \(-0.805171\pi\)
0.574566 + 0.818458i \(0.305171\pi\)
\(504\) 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 \(0.159473\pi\)
−0.877103 + 0.480303i \(0.840527\pi\)
\(510\) −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 \(0.0920893\pi\)
−0.958442 + 0.285288i \(0.907911\pi\)
\(522\) −17.1947 + 10.5980i −0.752590 + 0.463861i
\(523\) 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
\(525\) 2.48010 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 \(-0.688394\pi\)
0.557903 0.829906i \(-0.311606\pi\)
\(542\) 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 0.249005 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
\(552\) 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 −0.283337 0.959020i \(-0.591441\pi\)
0.959020 + 0.283337i \(0.0914414\pi\)
\(558\) 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 0.657438 0.753509i \(-0.271640\pi\)
−0.753509 + 0.657438i \(0.771640\pi\)
\(564\) −1.92514 + 4.43839i −0.0810631 + 0.186890i
\(565\) 0.354273 13.8547i 0.0149044 0.582874i
\(566\) −14.2052 12.4277i −0.597089 0.522375i
\(567\) 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 \(0.308948\pi\)
−0.564815 + 0.825218i \(0.691052\pi\)
\(572\) 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 −0.301469 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
\(582\) 1.04881 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 −0.853190 0.521600i \(-0.825335\pi\)
0.521600 + 0.853190i \(0.325335\pi\)
\(588\) −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 −0.951810 0.306688i \(-0.900779\pi\)
0.306688 + 0.951810i \(0.400779\pi\)
\(594\) −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 0.0866645 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
\(612\) 30.2371 + 5.07837i 1.22226 + 0.205281i
\(613\) 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
\(615\) 8.54416 13.3858i 0.344534 0.539769i
\(616\) 3.17847 + 2.10738i 0.128064 + 0.0849088i
\(617\) −15.8402 15.8402i −0.637702 0.637702i 0.312286 0.949988i \(-0.398905\pi\)
−0.949988 + 0.312286i \(0.898905\pi\)
\(618\) −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 \(0.314267\pi\)
−0.550945 + 0.834541i \(0.685733\pi\)
\(642\) −4.93515 + 9.57522i −0.194775 + 0.377904i
\(643\) 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
\(645\) 40.5409 8.95055i 1.59630 0.352428i
\(646\) −3.19895 + 3.65649i −0.125861 + 0.143863i
\(647\) −11.1088 11.1088i −0.436732 0.436732i 0.454178 0.890911i \(-0.349933\pi\)
−0.890911 + 0.454178i \(0.849933\pi\)
\(648\) 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 0.336426 0.941710i \(-0.390782\pi\)
−0.941710 + 0.336426i \(0.890782\pi\)
\(654\) −9.66651 + 3.09112i −0.377991 + 0.120872i
\(655\) −14.2564 + 13.5455i −0.557044 + 0.529267i
\(656\) 4.32042 + 15.8218i 0.168684 + 0.617738i
\(657\) 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 \(0.0368641\pi\)
−0.993301 + 0.115553i \(0.963136\pi\)
\(660\) −18.5029 8.59401i −0.720223 0.334521i
\(661\) 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
\(663\) −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 0.349828 0.936814i \(-0.386240\pi\)
−0.936814 + 0.349828i \(0.886240\pi\)
\(674\) 13.5276 + 11.8349i 0.521063 + 0.455862i
\(675\) 20.2436 16.2848i 0.779178 0.626803i
\(676\) 3.03327 + 22.6230i 0.116664 + 0.870116i
\(677\) −28.2327 + 28.2327i −1.08507 + 1.08507i −0.0890415 + 0.996028i \(0.528380\pi\)
−0.996028 + 0.0890415i \(0.971620\pi\)
\(678\) −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 0.00100333 0.999999i \(-0.499681\pi\)
−0.999999 + 0.00100333i \(0.999681\pi\)
\(684\) −3.28520 + 2.34037i −0.125613 + 0.0894865i
\(685\) −4.70454 0.120298i −0.179751 0.00459634i
\(686\) −6.54891 + 7.48559i −0.250039 + 0.285801i
\(687\) 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 \(-0.941198\pi\)
0.982986 0.183682i \(-0.0588015\pi\)
\(692\) 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 −0.0726443 + 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
\(732\) −19.5632 + 7.72641i −0.723077 + 0.285576i
\(733\) 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
\(735\) 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 −0.844465 0.535610i \(-0.820082\pi\)
0.535610 + 0.844465i \(0.320082\pi\)
\(744\) 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 0.997527 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 \(0.0132899\pi\)
−0.999129 + 0.0417394i \(0.986710\pi\)
\(762\) −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 \(-0.682879\pi\)
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 0.962759 0.270362i