Properties

Label 570.2.s.b.221.12
Level $570$
Weight $2$
Character 570.221
Analytic conductor $4.551$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 221.12
Character \(\chi\) \(=\) 570.221
Dual form 570.2.s.b.521.12

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(1.72105 + 0.194877i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.866025 - 0.500000i) q^{5} +(0.691758 + 1.58791i) q^{6} -1.96058 q^{7} -1.00000 q^{8} +(2.92405 + 0.670786i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(1.72105 + 0.194877i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.866025 - 0.500000i) q^{5} +(0.691758 + 1.58791i) q^{6} -1.96058 q^{7} -1.00000 q^{8} +(2.92405 + 0.670786i) q^{9} +(0.866025 + 0.500000i) q^{10} +4.91222i q^{11} +(-1.02929 + 1.39304i) q^{12} +(1.73616 + 1.00237i) q^{13} +(-0.980288 - 1.69791i) q^{14} +(1.58791 - 0.691758i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(3.39530 - 1.96028i) q^{17} +(0.881106 + 2.86769i) q^{18} +(-3.86720 + 2.01117i) q^{19} +1.00000i q^{20} +(-3.37425 - 0.382070i) q^{21} +(-4.25411 + 2.45611i) q^{22} +(5.91161 + 3.41307i) q^{23} +(-1.72105 - 0.194877i) q^{24} +(0.500000 - 0.866025i) q^{25} +2.00475i q^{26} +(4.90172 + 1.72429i) q^{27} +(0.980288 - 1.69791i) q^{28} +(2.51673 - 4.35910i) q^{29} +(1.39304 + 1.02929i) q^{30} -0.233588i q^{31} +(0.500000 - 0.866025i) q^{32} +(-0.957276 + 8.45419i) q^{33} +(3.39530 + 1.96028i) q^{34} +(-1.69791 + 0.980288i) q^{35} +(-2.04294 + 2.19691i) q^{36} -7.19430i q^{37} +(-3.67532 - 2.34350i) q^{38} +(2.79269 + 2.06347i) q^{39} +(-0.866025 + 0.500000i) q^{40} +(-5.88249 - 10.1888i) q^{41} +(-1.35624 - 3.11322i) q^{42} +(-2.94487 - 5.10067i) q^{43} +(-4.25411 - 2.45611i) q^{44} +(2.86769 - 0.881106i) q^{45} +6.82614i q^{46} +(-1.60922 - 0.929084i) q^{47} +(-0.691758 - 1.58791i) q^{48} -3.15615 q^{49} +1.00000 q^{50} +(6.22550 - 2.71208i) q^{51} +(-1.73616 + 1.00237i) q^{52} +(-5.29044 + 9.16331i) q^{53} +(0.957584 + 5.10716i) q^{54} +(2.45611 + 4.25411i) q^{55} +1.96058 q^{56} +(-7.04758 + 2.70770i) q^{57} +5.03345 q^{58} +(-4.25879 - 7.37643i) q^{59} +(-0.194877 + 1.72105i) q^{60} +(3.91378 - 6.77887i) q^{61} +(0.202293 - 0.116794i) q^{62} +(-5.73281 - 1.31513i) q^{63} +1.00000 q^{64} +2.00475 q^{65} +(-7.80018 + 3.39807i) q^{66} +(-13.7456 - 7.93605i) q^{67} +3.92055i q^{68} +(9.50907 + 7.02611i) q^{69} +(-1.69791 - 0.980288i) q^{70} +(2.26439 + 3.92204i) q^{71} +(-2.92405 - 0.670786i) q^{72} +(1.13889 + 1.97262i) q^{73} +(6.23045 - 3.59715i) q^{74} +(1.02929 - 1.39304i) q^{75} +(0.191874 - 4.35467i) q^{76} -9.63077i q^{77} +(-0.390678 + 3.45027i) q^{78} +(10.7900 - 6.22958i) q^{79} +(-0.866025 - 0.500000i) q^{80} +(8.10009 + 3.92282i) q^{81} +(5.88249 - 10.1888i) q^{82} +13.7111i q^{83} +(2.01801 - 2.73115i) q^{84} +(1.96028 - 3.39530i) q^{85} +(2.94487 - 5.10067i) q^{86} +(5.18091 - 7.01179i) q^{87} -4.91222i q^{88} +(-5.48139 + 9.49404i) q^{89} +(2.19691 + 2.04294i) q^{90} +(-3.40387 - 1.96523i) q^{91} +(-5.91161 + 3.41307i) q^{92} +(0.0455208 - 0.402017i) q^{93} -1.85817i q^{94} +(-2.34350 + 3.67532i) q^{95} +(1.02929 - 1.39304i) q^{96} +(-13.3158 + 7.68789i) q^{97} +(-1.57807 - 2.73330i) q^{98} +(-3.29505 + 14.3636i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q + 12q^{2} + 2q^{3} - 12q^{4} + 4q^{6} - 12q^{7} - 24q^{8} + 2q^{9} + O(q^{10}) \) \( 24q + 12q^{2} + 2q^{3} - 12q^{4} + 4q^{6} - 12q^{7} - 24q^{8} + 2q^{9} + 2q^{12} + 18q^{13} - 6q^{14} - 12q^{16} - 12q^{17} - 2q^{18} + 6q^{19} + 6q^{21} + 18q^{22} - 2q^{24} + 12q^{25} - 28q^{27} + 6q^{28} + 12q^{32} - 8q^{33} - 12q^{34} - 4q^{36} - 6q^{38} + 40q^{39} - 6q^{41} - 6q^{42} - 22q^{43} + 18q^{44} + 8q^{45} - 12q^{47} - 4q^{48} + 12q^{49} + 24q^{50} - 4q^{51} - 18q^{52} - 8q^{53} - 32q^{54} + 12q^{56} - 20q^{57} - 26q^{59} + 22q^{61} + 18q^{62} + 30q^{63} + 24q^{64} - 8q^{65} - 22q^{66} - 48q^{67} + 64q^{69} - 24q^{71} - 2q^{72} - 8q^{73} - 30q^{74} - 2q^{75} - 12q^{76} + 2q^{78} + 18q^{79} - 6q^{81} + 6q^{82} - 12q^{84} + 22q^{86} - 24q^{87} - 28q^{89} + 16q^{90} + 18q^{91} + 14q^{93} - 2q^{96} + 6q^{97} + 6q^{98} - 52q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{6}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.866025i 0.353553 + 0.612372i
\(3\) 1.72105 + 0.194877i 0.993650 + 0.112512i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) 0.691758 + 1.58791i 0.282409 + 0.648263i
\(7\) −1.96058 −0.741028 −0.370514 0.928827i \(-0.620818\pi\)
−0.370514 + 0.928827i \(0.620818\pi\)
\(8\) −1.00000 −0.353553
\(9\) 2.92405 + 0.670786i 0.974682 + 0.223595i
\(10\) 0.866025 + 0.500000i 0.273861 + 0.158114i
\(11\) 4.91222i 1.48109i 0.672007 + 0.740545i \(0.265432\pi\)
−0.672007 + 0.740545i \(0.734568\pi\)
\(12\) −1.02929 + 1.39304i −0.297132 + 0.402135i
\(13\) 1.73616 + 1.00237i 0.481524 + 0.278008i 0.721051 0.692881i \(-0.243659\pi\)
−0.239527 + 0.970890i \(0.576992\pi\)
\(14\) −0.980288 1.69791i −0.261993 0.453785i
\(15\) 1.58791 0.691758i 0.409998 0.178611i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 3.39530 1.96028i 0.823481 0.475437i −0.0281343 0.999604i \(-0.508957\pi\)
0.851615 + 0.524167i \(0.175623\pi\)
\(18\) 0.881106 + 2.86769i 0.207679 + 0.675921i
\(19\) −3.86720 + 2.01117i −0.887195 + 0.461394i
\(20\) 1.00000i 0.223607i
\(21\) −3.37425 0.382070i −0.736323 0.0833745i
\(22\) −4.25411 + 2.45611i −0.906978 + 0.523644i
\(23\) 5.91161 + 3.41307i 1.23266 + 0.711674i 0.967583 0.252554i \(-0.0812706\pi\)
0.265073 + 0.964228i \(0.414604\pi\)
\(24\) −1.72105 0.194877i −0.351308 0.0397790i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 2.00475i 0.393163i
\(27\) 4.90172 + 1.72429i 0.943336 + 0.331839i
\(28\) 0.980288 1.69791i 0.185257 0.320874i
\(29\) 2.51673 4.35910i 0.467344 0.809464i −0.531959 0.846770i \(-0.678544\pi\)
0.999304 + 0.0373055i \(0.0118775\pi\)
\(30\) 1.39304 + 1.02929i 0.254333 + 0.187923i
\(31\) 0.233588i 0.0419536i −0.999780 0.0209768i \(-0.993322\pi\)
0.999780 0.0209768i \(-0.00667761\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) −0.957276 + 8.45419i −0.166640 + 1.47169i
\(34\) 3.39530 + 1.96028i 0.582289 + 0.336185i
\(35\) −1.69791 + 0.980288i −0.286999 + 0.165699i
\(36\) −2.04294 + 2.19691i −0.340490 + 0.366151i
\(37\) 7.19430i 1.18274i −0.806402 0.591368i \(-0.798588\pi\)
0.806402 0.591368i \(-0.201412\pi\)
\(38\) −3.67532 2.34350i −0.596216 0.380167i
\(39\) 2.79269 + 2.06347i 0.447188 + 0.330420i
\(40\) −0.866025 + 0.500000i −0.136931 + 0.0790569i
\(41\) −5.88249 10.1888i −0.918690 1.59122i −0.801407 0.598119i \(-0.795915\pi\)
−0.117282 0.993099i \(-0.537418\pi\)
\(42\) −1.35624 3.11322i −0.209273 0.480381i
\(43\) −2.94487 5.10067i −0.449089 0.777845i 0.549238 0.835666i \(-0.314918\pi\)
−0.998327 + 0.0578212i \(0.981585\pi\)
\(44\) −4.25411 2.45611i −0.641331 0.370272i
\(45\) 2.86769 0.881106i 0.427490 0.131347i
\(46\) 6.82614i 1.00646i
\(47\) −1.60922 0.929084i −0.234729 0.135521i 0.378023 0.925796i \(-0.376604\pi\)
−0.612752 + 0.790275i \(0.709937\pi\)
\(48\) −0.691758 1.58791i −0.0998467 0.229196i
\(49\) −3.15615 −0.450878
\(50\) 1.00000 0.141421
\(51\) 6.22550 2.71208i 0.871745 0.379767i
\(52\) −1.73616 + 1.00237i −0.240762 + 0.139004i
\(53\) −5.29044 + 9.16331i −0.726698 + 1.25868i 0.231573 + 0.972817i \(0.425613\pi\)
−0.958271 + 0.285861i \(0.907721\pi\)
\(54\) 0.957584 + 5.10716i 0.130311 + 0.694996i
\(55\) 2.45611 + 4.25411i 0.331182 + 0.573624i
\(56\) 1.96058 0.261993
\(57\) −7.04758 + 2.70770i −0.933474 + 0.358644i
\(58\) 5.03345 0.660925
\(59\) −4.25879 7.37643i −0.554447 0.960330i −0.997946 0.0640552i \(-0.979597\pi\)
0.443500 0.896274i \(-0.353737\pi\)
\(60\) −0.194877 + 1.72105i −0.0251584 + 0.222187i
\(61\) 3.91378 6.77887i 0.501108 0.867945i −0.498891 0.866665i \(-0.666259\pi\)
0.999999 0.00128020i \(-0.000407502\pi\)
\(62\) 0.202293 0.116794i 0.0256912 0.0148328i
\(63\) −5.73281 1.31513i −0.722266 0.165690i
\(64\) 1.00000 0.125000
\(65\) 2.00475 0.248658
\(66\) −7.80018 + 3.39807i −0.960136 + 0.418273i
\(67\) −13.7456 7.93605i −1.67930 0.969542i −0.962110 0.272661i \(-0.912096\pi\)
−0.717186 0.696882i \(-0.754570\pi\)
\(68\) 3.92055i 0.475437i
\(69\) 9.50907 + 7.02611i 1.14476 + 0.845844i
\(70\) −1.69791 0.980288i −0.202939 0.117167i
\(71\) 2.26439 + 3.92204i 0.268734 + 0.465461i 0.968535 0.248877i \(-0.0800614\pi\)
−0.699801 + 0.714338i \(0.746728\pi\)
\(72\) −2.92405 0.670786i −0.344602 0.0790528i
\(73\) 1.13889 + 1.97262i 0.133297 + 0.230877i 0.924946 0.380099i \(-0.124110\pi\)
−0.791649 + 0.610977i \(0.790777\pi\)
\(74\) 6.23045 3.59715i 0.724275 0.418160i
\(75\) 1.02929 1.39304i 0.118853 0.160854i
\(76\) 0.191874 4.35467i 0.0220095 0.499515i
\(77\) 9.63077i 1.09753i
\(78\) −0.390678 + 3.45027i −0.0442355 + 0.390666i
\(79\) 10.7900 6.22958i 1.21396 0.700883i 0.250344 0.968157i \(-0.419456\pi\)
0.963621 + 0.267274i \(0.0861229\pi\)
\(80\) −0.866025 0.500000i −0.0968246 0.0559017i
\(81\) 8.10009 + 3.92282i 0.900010 + 0.435868i
\(82\) 5.88249 10.1888i 0.649612 1.12516i
\(83\) 13.7111i 1.50499i 0.658599 + 0.752494i \(0.271149\pi\)
−0.658599 + 0.752494i \(0.728851\pi\)
\(84\) 2.01801 2.73115i 0.220183 0.297993i
\(85\) 1.96028 3.39530i 0.212622 0.368272i
\(86\) 2.94487 5.10067i 0.317554 0.550019i
\(87\) 5.18091 7.01179i 0.555451 0.751743i
\(88\) 4.91222i 0.523644i
\(89\) −5.48139 + 9.49404i −0.581026 + 1.00637i 0.414332 + 0.910126i \(0.364015\pi\)
−0.995358 + 0.0962408i \(0.969318\pi\)
\(90\) 2.19691 + 2.04294i 0.231574 + 0.215345i
\(91\) −3.40387 1.96523i −0.356823 0.206012i
\(92\) −5.91161 + 3.41307i −0.616328 + 0.355837i
\(93\) 0.0455208 0.402017i 0.00472028 0.0416872i
\(94\) 1.85817i 0.191655i
\(95\) −2.34350 + 3.67532i −0.240439 + 0.377080i
\(96\) 1.02929 1.39304i 0.105052 0.142176i
\(97\) −13.3158 + 7.68789i −1.35202 + 0.780587i −0.988532 0.151013i \(-0.951746\pi\)
−0.363484 + 0.931600i \(0.618413\pi\)
\(98\) −1.57807 2.73330i −0.159409 0.276105i
\(99\) −3.29505 + 14.3636i −0.331165 + 1.44359i
\(100\) 0.500000 + 0.866025i 0.0500000 + 0.0866025i
\(101\) −9.94449 5.74146i −0.989514 0.571296i −0.0843851 0.996433i \(-0.526893\pi\)
−0.905129 + 0.425137i \(0.860226\pi\)
\(102\) 5.46148 + 4.03541i 0.540767 + 0.399565i
\(103\) 1.76334i 0.173747i −0.996219 0.0868736i \(-0.972312\pi\)
0.996219 0.0868736i \(-0.0276876\pi\)
\(104\) −1.73616 1.00237i −0.170245 0.0982907i
\(105\) −3.11322 + 1.35624i −0.303820 + 0.132356i
\(106\) −10.5809 −1.02771
\(107\) −3.01131 −0.291115 −0.145557 0.989350i \(-0.546498\pi\)
−0.145557 + 0.989350i \(0.546498\pi\)
\(108\) −3.94413 + 3.38287i −0.379524 + 0.325517i
\(109\) 9.05950 5.23051i 0.867743 0.500992i 0.00114554 0.999999i \(-0.499635\pi\)
0.866598 + 0.499008i \(0.166302\pi\)
\(110\) −2.45611 + 4.25411i −0.234181 + 0.405613i
\(111\) 1.40200 12.3818i 0.133072 1.17523i
\(112\) 0.980288 + 1.69791i 0.0926285 + 0.160437i
\(113\) 12.1589 1.14382 0.571909 0.820317i \(-0.306203\pi\)
0.571909 + 0.820317i \(0.306203\pi\)
\(114\) −5.86873 4.74953i −0.549657 0.444834i
\(115\) 6.82614 0.636541
\(116\) 2.51673 + 4.35910i 0.233672 + 0.404732i
\(117\) 4.40424 + 4.09558i 0.407172 + 0.378636i
\(118\) 4.25879 7.37643i 0.392053 0.679056i
\(119\) −6.65674 + 3.84327i −0.610222 + 0.352312i
\(120\) −1.58791 + 0.691758i −0.144956 + 0.0631486i
\(121\) −13.1299 −1.19363
\(122\) 7.82756 0.708674
\(123\) −8.13852 18.6818i −0.733825 1.68448i
\(124\) 0.202293 + 0.116794i 0.0181664 + 0.0104884i
\(125\) 1.00000i 0.0894427i
\(126\) −1.72747 5.62232i −0.153896 0.500876i
\(127\) 11.2081 + 6.47100i 0.994557 + 0.574208i 0.906633 0.421919i \(-0.138643\pi\)
0.0879240 + 0.996127i \(0.471977\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) −4.07428 9.35241i −0.358720 0.823434i
\(130\) 1.00237 + 1.73616i 0.0879139 + 0.152271i
\(131\) 7.74381 4.47089i 0.676580 0.390624i −0.121985 0.992532i \(-0.538926\pi\)
0.798565 + 0.601908i \(0.205593\pi\)
\(132\) −6.84290 5.05612i −0.595598 0.440079i
\(133\) 7.58193 3.94305i 0.657436 0.341906i
\(134\) 15.8721i 1.37114i
\(135\) 5.10716 0.957584i 0.439554 0.0824157i
\(136\) −3.39530 + 1.96028i −0.291145 + 0.168092i
\(137\) 3.55144 + 2.05042i 0.303420 + 0.175180i 0.643978 0.765044i \(-0.277283\pi\)
−0.340558 + 0.940223i \(0.610616\pi\)
\(138\) −1.33025 + 11.7481i −0.113239 + 1.00007i
\(139\) 6.74169 11.6770i 0.571823 0.990426i −0.424556 0.905402i \(-0.639570\pi\)
0.996379 0.0850246i \(-0.0270969\pi\)
\(140\) 1.96058i 0.165699i
\(141\) −2.58850 1.91260i −0.217991 0.161070i
\(142\) −2.26439 + 3.92204i −0.190024 + 0.329131i
\(143\) −4.92387 + 8.52840i −0.411755 + 0.713181i
\(144\) −0.881106 2.86769i −0.0734255 0.238974i
\(145\) 5.03345i 0.418006i
\(146\) −1.13889 + 1.97262i −0.0942553 + 0.163255i
\(147\) −5.43189 0.615059i −0.448015 0.0507292i
\(148\) 6.23045 + 3.59715i 0.512140 + 0.295684i
\(149\) 3.99172 2.30462i 0.327014 0.188802i −0.327500 0.944851i \(-0.606206\pi\)
0.654515 + 0.756049i \(0.272873\pi\)
\(150\) 1.72105 + 0.194877i 0.140523 + 0.0159116i
\(151\) 17.3564i 1.41245i −0.707990 0.706223i \(-0.750398\pi\)
0.707990 0.706223i \(-0.249602\pi\)
\(152\) 3.86720 2.01117i 0.313671 0.163127i
\(153\) 11.2429 3.45442i 0.908938 0.279274i
\(154\) 8.34049 4.81539i 0.672096 0.388035i
\(155\) −0.116794 0.202293i −0.00938111 0.0162486i
\(156\) −3.18336 + 1.38680i −0.254873 + 0.111033i
\(157\) 0.833700 + 1.44401i 0.0665365 + 0.115245i 0.897375 0.441270i \(-0.145472\pi\)
−0.830838 + 0.556514i \(0.812138\pi\)
\(158\) 10.7900 + 6.22958i 0.858403 + 0.495599i
\(159\) −10.8908 + 14.7396i −0.863700 + 1.16892i
\(160\) 1.00000i 0.0790569i
\(161\) −11.5902 6.69158i −0.913432 0.527370i
\(162\) 0.652788 + 8.97629i 0.0512879 + 0.705244i
\(163\) 8.55940 0.670424 0.335212 0.942143i \(-0.391192\pi\)
0.335212 + 0.942143i \(0.391192\pi\)
\(164\) 11.7650 0.918690
\(165\) 3.39807 + 7.80018i 0.264539 + 0.607243i
\(166\) −11.8742 + 6.85554i −0.921613 + 0.532093i
\(167\) −4.84533 + 8.39236i −0.374943 + 0.649420i −0.990318 0.138814i \(-0.955671\pi\)
0.615376 + 0.788234i \(0.289004\pi\)
\(168\) 3.37425 + 0.382070i 0.260329 + 0.0294773i
\(169\) −4.49050 7.77777i −0.345423 0.598290i
\(170\) 3.92055 0.300693
\(171\) −12.6569 + 3.28669i −0.967899 + 0.251340i
\(172\) 5.88974 0.449089
\(173\) 5.22274 + 9.04605i 0.397078 + 0.687759i 0.993364 0.115013i \(-0.0366910\pi\)
−0.596286 + 0.802772i \(0.703358\pi\)
\(174\) 8.66284 + 0.980902i 0.656728 + 0.0743620i
\(175\) −0.980288 + 1.69791i −0.0741028 + 0.128350i
\(176\) 4.25411 2.45611i 0.320665 0.185136i
\(177\) −5.89210 13.5252i −0.442877 1.01661i
\(178\) −10.9628 −0.821695
\(179\) 1.34670 0.100657 0.0503285 0.998733i \(-0.483973\pi\)
0.0503285 + 0.998733i \(0.483973\pi\)
\(180\) −0.670786 + 2.92405i −0.0499974 + 0.217946i
\(181\) 12.6588 + 7.30854i 0.940919 + 0.543240i 0.890248 0.455476i \(-0.150531\pi\)
0.0506704 + 0.998715i \(0.483864\pi\)
\(182\) 3.93045i 0.291345i
\(183\) 8.05687 10.9041i 0.595581 0.806053i
\(184\) −5.91161 3.41307i −0.435810 0.251615i
\(185\) −3.59715 6.23045i −0.264468 0.458072i
\(186\) 0.370917 0.161586i 0.0271970 0.0118481i
\(187\) 9.62931 + 16.6785i 0.704165 + 1.21965i
\(188\) 1.60922 0.929084i 0.117364 0.0677604i
\(189\) −9.61019 3.38059i −0.699038 0.245902i
\(190\) −4.35467 0.191874i −0.315921 0.0139200i
\(191\) 6.09365i 0.440921i 0.975396 + 0.220461i \(0.0707560\pi\)
−0.975396 + 0.220461i \(0.929244\pi\)
\(192\) 1.72105 + 0.194877i 0.124206 + 0.0140640i
\(193\) 2.59888 1.50046i 0.187071 0.108006i −0.403540 0.914962i \(-0.632220\pi\)
0.590611 + 0.806957i \(0.298887\pi\)
\(194\) −13.3158 7.68789i −0.956020 0.551958i
\(195\) 3.45027 + 0.390678i 0.247079 + 0.0279770i
\(196\) 1.57807 2.73330i 0.112719 0.195236i
\(197\) 2.48104i 0.176767i −0.996087 0.0883833i \(-0.971830\pi\)
0.996087 0.0883833i \(-0.0281700\pi\)
\(198\) −14.0867 + 4.32818i −1.00110 + 0.307591i
\(199\) −11.8062 + 20.4489i −0.836918 + 1.44958i 0.0555409 + 0.998456i \(0.482312\pi\)
−0.892459 + 0.451128i \(0.851022\pi\)
\(200\) −0.500000 + 0.866025i −0.0353553 + 0.0612372i
\(201\) −22.1104 16.3371i −1.55955 1.15233i
\(202\) 11.4829i 0.807935i
\(203\) −4.93423 + 8.54634i −0.346315 + 0.599836i
\(204\) −0.764024 + 6.74748i −0.0534924 + 0.472418i
\(205\) −10.1888 5.88249i −0.711614 0.410851i
\(206\) 1.52710 0.881671i 0.106398 0.0614289i
\(207\) 14.9964 + 13.9454i 1.04232 + 0.969272i
\(208\) 2.00475i 0.139004i
\(209\) −9.87930 18.9965i −0.683366 1.31402i
\(210\) −2.73115 2.01801i −0.188468 0.139256i
\(211\) 2.52326 1.45680i 0.173708 0.100290i −0.410625 0.911804i \(-0.634689\pi\)
0.584333 + 0.811514i \(0.301356\pi\)
\(212\) −5.29044 9.16331i −0.363349 0.629339i
\(213\) 3.13283 + 7.19132i 0.214658 + 0.492741i
\(214\) −1.50566 2.60787i −0.102925 0.178271i
\(215\) −5.10067 2.94487i −0.347863 0.200839i
\(216\) −4.90172 1.72429i −0.333520 0.117323i
\(217\) 0.457966i 0.0310888i
\(218\) 9.05950 + 5.23051i 0.613587 + 0.354255i
\(219\) 1.57567 + 3.61692i 0.106474 + 0.244409i
\(220\) −4.91222 −0.331182
\(221\) 7.85971 0.528702
\(222\) 11.4239 4.97672i 0.766724 0.334015i
\(223\) 3.39391 1.95947i 0.227273 0.131216i −0.382040 0.924146i \(-0.624778\pi\)
0.609313 + 0.792930i \(0.291445\pi\)
\(224\) −0.980288 + 1.69791i −0.0654982 + 0.113446i
\(225\) 2.04294 2.19691i 0.136196 0.146460i
\(226\) 6.07947 + 10.5300i 0.404400 + 0.700442i
\(227\) 0.316084 0.0209793 0.0104896 0.999945i \(-0.496661\pi\)
0.0104896 + 0.999945i \(0.496661\pi\)
\(228\) 1.17885 7.45723i 0.0780712 0.493867i
\(229\) 6.13340 0.405306 0.202653 0.979251i \(-0.435044\pi\)
0.202653 + 0.979251i \(0.435044\pi\)
\(230\) 3.41307 + 5.91161i 0.225051 + 0.389800i
\(231\) 1.87681 16.5751i 0.123485 1.09056i
\(232\) −2.51673 + 4.35910i −0.165231 + 0.286189i
\(233\) 9.37631 5.41341i 0.614262 0.354644i −0.160369 0.987057i \(-0.551269\pi\)
0.774632 + 0.632413i \(0.217935\pi\)
\(234\) −1.34475 + 5.86197i −0.0879093 + 0.383209i
\(235\) −1.85817 −0.121214
\(236\) 8.51757 0.554447
\(237\) 19.7841 8.61873i 1.28511 0.559847i
\(238\) −6.65674 3.84327i −0.431492 0.249122i
\(239\) 3.18686i 0.206141i −0.994674 0.103070i \(-0.967133\pi\)
0.994674 0.103070i \(-0.0328667\pi\)
\(240\) −1.39304 1.02929i −0.0899202 0.0664407i
\(241\) −16.5317 9.54461i −1.06490 0.614822i −0.138119 0.990416i \(-0.544106\pi\)
−0.926785 + 0.375593i \(0.877439\pi\)
\(242\) −6.56495 11.3708i −0.422011 0.730944i
\(243\) 13.1762 + 8.32989i 0.845255 + 0.534363i
\(244\) 3.91378 + 6.77887i 0.250554 + 0.433973i
\(245\) −2.73330 + 1.57807i −0.174624 + 0.100819i
\(246\) 12.1096 16.3890i 0.772081 1.04493i
\(247\) −8.73001 0.384659i −0.555477 0.0244753i
\(248\) 0.233588i 0.0148328i
\(249\) −2.67197 + 23.5975i −0.169329 + 1.49543i
\(250\) 0.866025 0.500000i 0.0547723 0.0316228i
\(251\) −10.0866 5.82352i −0.636663 0.367578i 0.146665 0.989186i \(-0.453146\pi\)
−0.783328 + 0.621609i \(0.786479\pi\)
\(252\) 4.00534 4.30720i 0.252313 0.271328i
\(253\) −16.7657 + 29.0391i −1.05405 + 1.82567i
\(254\) 12.9420i 0.812053i
\(255\) 4.03541 5.46148i 0.252707 0.342011i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −11.7735 + 20.3923i −0.734410 + 1.27204i 0.220571 + 0.975371i \(0.429208\pi\)
−0.954982 + 0.296665i \(0.904125\pi\)
\(258\) 6.06228 8.20463i 0.377421 0.510798i
\(259\) 14.1050i 0.876440i
\(260\) −1.00237 + 1.73616i −0.0621645 + 0.107672i
\(261\) 10.2830 11.0580i 0.636505 0.684474i
\(262\) 7.74381 + 4.47089i 0.478414 + 0.276213i
\(263\) −3.46036 + 1.99784i −0.213375 + 0.123192i −0.602879 0.797833i \(-0.705980\pi\)
0.389504 + 0.921025i \(0.372646\pi\)
\(264\) 0.957276 8.45419i 0.0589163 0.520319i
\(265\) 10.5809i 0.649979i
\(266\) 7.20574 + 4.59462i 0.441812 + 0.281714i
\(267\) −11.2839 + 15.2716i −0.690565 + 0.934604i
\(268\) 13.7456 7.93605i 0.839648 0.484771i
\(269\) 1.12373 + 1.94636i 0.0685152 + 0.118672i 0.898248 0.439489i \(-0.144840\pi\)
−0.829733 + 0.558161i \(0.811507\pi\)
\(270\) 3.38287 + 3.94413i 0.205875 + 0.240032i
\(271\) 2.70149 + 4.67912i 0.164104 + 0.284236i 0.936337 0.351103i \(-0.114193\pi\)
−0.772233 + 0.635340i \(0.780860\pi\)
\(272\) −3.39530 1.96028i −0.205870 0.118859i
\(273\) −5.47527 4.04559i −0.331378 0.244851i
\(274\) 4.10085i 0.247741i
\(275\) 4.25411 + 2.45611i 0.256532 + 0.148109i
\(276\) −10.8393 + 4.72204i −0.652450 + 0.284233i
\(277\) −20.1531 −1.21088 −0.605441 0.795890i \(-0.707003\pi\)
−0.605441 + 0.795890i \(0.707003\pi\)
\(278\) 13.4834 0.808680
\(279\) 0.156687 0.683021i 0.00938062 0.0408914i
\(280\) 1.69791 0.980288i 0.101469 0.0585834i
\(281\) 9.35418 16.2019i 0.558023 0.966525i −0.439638 0.898175i \(-0.644893\pi\)
0.997661 0.0683499i \(-0.0217734\pi\)
\(282\) 0.362113 3.19801i 0.0215635 0.190438i
\(283\) 10.5801 + 18.3252i 0.628919 + 1.08932i 0.987769 + 0.155924i \(0.0498355\pi\)
−0.358850 + 0.933395i \(0.616831\pi\)
\(284\) −4.52879 −0.268734
\(285\) −4.74953 + 5.86873i −0.281338 + 0.347633i
\(286\) −9.84775 −0.582310
\(287\) 11.5331 + 19.9758i 0.680775 + 1.17914i
\(288\) 2.04294 2.19691i 0.120381 0.129454i
\(289\) −0.814625 + 1.41097i −0.0479191 + 0.0829984i
\(290\) 4.35910 2.51673i 0.255975 0.147787i
\(291\) −24.4154 + 10.6363i −1.43126 + 0.623512i
\(292\) −2.27778 −0.133297
\(293\) 12.3120 0.719275 0.359638 0.933092i \(-0.382900\pi\)
0.359638 + 0.933092i \(0.382900\pi\)
\(294\) −2.18329 5.01169i −0.127332 0.292287i
\(295\) −7.37643 4.25879i −0.429472 0.247956i
\(296\) 7.19430i 0.418160i
\(297\) −8.47007 + 24.0783i −0.491483 + 1.39717i
\(298\) 3.99172 + 2.30462i 0.231234 + 0.133503i
\(299\) 6.84234 + 11.8513i 0.395702 + 0.685377i
\(300\) 0.691758 + 1.58791i 0.0399387 + 0.0916782i
\(301\) 5.77364 + 10.0002i 0.332787 + 0.576405i
\(302\) 15.0311 8.67821i 0.864943 0.499375i
\(303\) −15.9961 11.8193i −0.918953 0.679001i
\(304\) 3.67532 + 2.34350i 0.210794 + 0.134409i
\(305\) 7.82756i 0.448205i
\(306\) 8.61309 + 8.00946i 0.492377 + 0.457870i
\(307\) −13.1520 + 7.59331i −0.750624 + 0.433373i −0.825919 0.563788i \(-0.809343\pi\)
0.0752952 + 0.997161i \(0.476010\pi\)
\(308\) 8.34049 + 4.81539i 0.475244 + 0.274382i
\(309\) 0.343634 3.03481i 0.0195487 0.172644i
\(310\) 0.116794 0.202293i 0.00663344 0.0114895i
\(311\) 31.8839i 1.80797i 0.427563 + 0.903986i \(0.359372\pi\)
−0.427563 + 0.903986i \(0.640628\pi\)
\(312\) −2.79269 2.06347i −0.158105 0.116821i
\(313\) −7.47579 + 12.9485i −0.422557 + 0.731890i −0.996189 0.0872234i \(-0.972201\pi\)
0.573632 + 0.819113i \(0.305534\pi\)
\(314\) −0.833700 + 1.44401i −0.0470484 + 0.0814902i
\(315\) −5.62232 + 1.72747i −0.316782 + 0.0973321i
\(316\) 12.4592i 0.700883i
\(317\) 12.7583 22.0980i 0.716577 1.24115i −0.245771 0.969328i \(-0.579041\pi\)
0.962348 0.271821i \(-0.0876257\pi\)
\(318\) −18.2103 2.06197i −1.02118 0.115629i
\(319\) 21.4128 + 12.3627i 1.19889 + 0.692179i
\(320\) 0.866025 0.500000i 0.0484123 0.0279508i
\(321\) −5.18263 0.586834i −0.289266 0.0327539i
\(322\) 13.3832i 0.745814i
\(323\) −9.18784 + 14.4093i −0.511225 + 0.801755i
\(324\) −7.44731 + 5.05348i −0.413739 + 0.280749i
\(325\) 1.73616 1.00237i 0.0963049 0.0556016i
\(326\) 4.27970 + 7.41266i 0.237031 + 0.410549i
\(327\) 16.6112 7.23650i 0.918601 0.400179i
\(328\) 5.88249 + 10.1888i 0.324806 + 0.562580i
\(329\) 3.15500 + 1.82154i 0.173941 + 0.100425i
\(330\) −5.05612 + 6.84290i −0.278330 + 0.376689i
\(331\) 23.6270i 1.29866i 0.760508 + 0.649329i \(0.224950\pi\)
−0.760508 + 0.649329i \(0.775050\pi\)
\(332\) −11.8742 6.85554i −0.651679 0.376247i
\(333\) 4.82583 21.0365i 0.264454 1.15279i
\(334\) −9.69066 −0.530249
\(335\) −15.8721 −0.867185
\(336\) 1.35624 + 3.11322i 0.0739892 + 0.169840i
\(337\) −1.65491 + 0.955464i −0.0901489 + 0.0520475i −0.544397 0.838828i \(-0.683241\pi\)
0.454248 + 0.890875i \(0.349908\pi\)
\(338\) 4.49050 7.77777i 0.244251 0.423055i
\(339\) 20.9262 + 2.36949i 1.13655 + 0.128693i
\(340\) 1.96028 + 3.39530i 0.106311 + 0.184136i
\(341\) 1.14743 0.0621370
\(342\) −9.17482 9.31787i −0.496117 0.503853i
\(343\) 19.9119 1.07514
\(344\) 2.94487 + 5.10067i 0.158777 + 0.275010i
\(345\) 11.7481 + 1.33025i 0.632499 + 0.0716185i
\(346\) −5.22274 + 9.04605i −0.280776 + 0.486319i
\(347\) −13.6960 + 7.90736i −0.735237 + 0.424489i −0.820335 0.571883i \(-0.806213\pi\)
0.0850978 + 0.996373i \(0.472880\pi\)
\(348\) 3.48193 + 7.99269i 0.186651 + 0.428453i
\(349\) −29.7786 −1.59401 −0.797006 0.603972i \(-0.793584\pi\)
−0.797006 + 0.603972i \(0.793584\pi\)
\(350\) −1.96058 −0.104797
\(351\) 6.78179 + 7.90698i 0.361985 + 0.422044i
\(352\) 4.25411 + 2.45611i 0.226745 + 0.130911i
\(353\) 2.45671i 0.130758i −0.997861 0.0653788i \(-0.979174\pi\)
0.997861 0.0653788i \(-0.0208256\pi\)
\(354\) 8.76709 11.8653i 0.465965 0.630633i
\(355\) 3.92204 + 2.26439i 0.208160 + 0.120182i
\(356\) −5.48139 9.49404i −0.290513 0.503183i
\(357\) −12.2056 + 5.31723i −0.645987 + 0.281418i
\(358\) 0.673349 + 1.16628i 0.0355876 + 0.0616396i
\(359\) −3.05773 + 1.76538i −0.161381 + 0.0931733i −0.578515 0.815671i \(-0.696368\pi\)
0.417135 + 0.908845i \(0.363034\pi\)
\(360\) −2.86769 + 0.881106i −0.151141 + 0.0464384i
\(361\) 10.9104 15.5552i 0.574232 0.818693i
\(362\) 14.6171i 0.768257i
\(363\) −22.5972 2.55871i −1.18605 0.134297i
\(364\) 3.40387 1.96523i 0.178411 0.103006i
\(365\) 1.97262 + 1.13889i 0.103251 + 0.0596123i
\(366\) 13.4716 + 1.52541i 0.704174 + 0.0797343i
\(367\) −1.33512 + 2.31249i −0.0696925 + 0.120711i −0.898766 0.438429i \(-0.855535\pi\)
0.829073 + 0.559140i \(0.188868\pi\)
\(368\) 6.82614i 0.355837i
\(369\) −10.3662 33.7383i −0.539642 1.75635i
\(370\) 3.59715 6.23045i 0.187007 0.323906i
\(371\) 10.3723 17.9654i 0.538503 0.932715i
\(372\) 0.325396 + 0.240431i 0.0168710 + 0.0124657i
\(373\) 4.16443i 0.215626i 0.994171 + 0.107813i \(0.0343848\pi\)
−0.994171 + 0.107813i \(0.965615\pi\)
\(374\) −9.62931 + 16.6785i −0.497920 + 0.862422i
\(375\) 0.194877 1.72105i 0.0100634 0.0888748i
\(376\) 1.60922 + 0.929084i 0.0829892 + 0.0479138i
\(377\) 8.73888 5.04540i 0.450075 0.259851i
\(378\) −1.87742 10.0130i −0.0965638 0.515011i
\(379\) 10.8219i 0.555884i 0.960598 + 0.277942i \(0.0896523\pi\)
−0.960598 + 0.277942i \(0.910348\pi\)
\(380\) −2.01117 3.86720i −0.103171 0.198383i
\(381\) 18.0287 + 13.3211i 0.923637 + 0.682462i
\(382\) −5.27726 + 3.04683i −0.270008 + 0.155889i
\(383\) −8.28137 14.3437i −0.423158 0.732931i 0.573088 0.819494i \(-0.305745\pi\)
−0.996246 + 0.0865623i \(0.972412\pi\)
\(384\) 0.691758 + 1.58791i 0.0353012 + 0.0810329i
\(385\) −4.81539 8.34049i −0.245415 0.425071i
\(386\) 2.59888 + 1.50046i 0.132279 + 0.0763715i
\(387\) −5.18949 16.8900i −0.263797 0.858565i
\(388\) 15.3758i 0.780587i
\(389\) −32.4626 18.7423i −1.64592 0.950273i −0.978670 0.205440i \(-0.934138\pi\)
−0.667251 0.744833i \(-0.732529\pi\)
\(390\) 1.38680 + 3.18336i 0.0702233 + 0.161196i
\(391\) 26.7623 1.35343
\(392\) 3.15615 0.159409
\(393\) 14.1988 6.18555i 0.716234 0.312020i
\(394\) 2.14864 1.24052i 0.108247 0.0624965i
\(395\) 6.22958 10.7900i 0.313444 0.542902i
\(396\) −10.7917 10.0354i −0.542302 0.504296i
\(397\) −2.65169 4.59286i −0.133085 0.230509i 0.791780 0.610807i \(-0.209155\pi\)
−0.924864 + 0.380298i \(0.875822\pi\)
\(398\) −23.6124 −1.18358
\(399\) 13.8173 5.30865i 0.691730 0.265765i
\(400\) −1.00000 −0.0500000
\(401\) 3.00036 + 5.19678i 0.149831 + 0.259515i 0.931165 0.364598i \(-0.118794\pi\)
−0.781334 + 0.624113i \(0.785460\pi\)
\(402\) 3.09310 27.3167i 0.154270 1.36243i
\(403\) 0.234142 0.405546i 0.0116634 0.0202017i
\(404\) 9.94449 5.74146i 0.494757 0.285648i
\(405\) 8.97629 0.652788i 0.446036 0.0324373i
\(406\) −9.86847 −0.489764
\(407\) 35.3400 1.75174
\(408\) −6.22550 + 2.71208i −0.308208 + 0.134268i
\(409\) −23.6531 13.6561i −1.16957 0.675253i −0.215993 0.976395i \(-0.569299\pi\)
−0.953579 + 0.301143i \(0.902632\pi\)
\(410\) 11.7650i 0.581030i
\(411\) 5.71263 + 4.22098i 0.281783 + 0.208206i
\(412\) 1.52710 + 0.881671i 0.0752348 + 0.0434368i
\(413\) 8.34967 + 14.4620i 0.410860 + 0.711631i
\(414\) −4.57888 + 19.9599i −0.225039 + 0.980978i
\(415\) 6.85554 + 11.8742i 0.336525 + 0.582879i
\(416\) 1.73616 1.00237i 0.0851223 0.0491454i
\(417\) 13.8784 18.7829i 0.679627 0.919801i
\(418\) 11.5118 18.0540i 0.563061 0.883049i
\(419\) 5.21876i 0.254953i −0.991842 0.127477i \(-0.959312\pi\)
0.991842 0.127477i \(-0.0406878\pi\)
\(420\) 0.382070 3.37425i 0.0186431 0.164647i
\(421\) 0.601100 0.347045i 0.0292958 0.0169139i −0.485281 0.874358i \(-0.661283\pi\)
0.514576 + 0.857445i \(0.327949\pi\)
\(422\) 2.52326 + 1.45680i 0.122830 + 0.0709160i
\(423\) −4.08222 3.79613i −0.198484 0.184574i
\(424\) 5.29044 9.16331i 0.256927 0.445010i
\(425\) 3.92055i 0.190175i
\(426\) −4.66145 + 6.30877i −0.225848 + 0.305661i
\(427\) −7.67326 + 13.2905i −0.371335 + 0.643171i
\(428\) 1.50566 2.60787i 0.0727787 0.126056i
\(429\) −10.1362 + 13.7183i −0.489382 + 0.662325i
\(430\) 5.88974i 0.284029i
\(431\) −8.30269 + 14.3807i −0.399926 + 0.692693i −0.993716 0.111927i \(-0.964298\pi\)
0.593790 + 0.804620i \(0.297631\pi\)
\(432\) −0.957584 5.10716i −0.0460718 0.245718i
\(433\) 18.0716 + 10.4336i 0.868465 + 0.501409i 0.866838 0.498590i \(-0.166149\pi\)
0.00162720 + 0.999999i \(0.499482\pi\)
\(434\) −0.396610 + 0.228983i −0.0190379 + 0.0109915i
\(435\) 0.980902 8.66284i 0.0470306 0.415351i
\(436\) 10.4610i 0.500992i
\(437\) −29.7256 1.30976i −1.42197 0.0626543i
\(438\) −2.34451 + 3.17304i −0.112025 + 0.151613i
\(439\) −9.46913 + 5.46701i −0.451937 + 0.260926i −0.708648 0.705562i \(-0.750695\pi\)
0.256711 + 0.966488i \(0.417361\pi\)
\(440\) −2.45611 4.25411i −0.117090 0.202807i
\(441\) −9.22871 2.11710i −0.439463 0.100814i
\(442\) 3.92986 + 6.80671i 0.186924 + 0.323762i
\(443\) −32.8931 18.9908i −1.56280 0.902281i −0.996972 0.0777559i \(-0.975225\pi\)
−0.565825 0.824525i \(-0.691442\pi\)
\(444\) 10.0219 + 7.40505i 0.475620 + 0.351428i
\(445\) 10.9628i 0.519685i
\(446\) 3.39391 + 1.95947i 0.160706 + 0.0927838i
\(447\) 7.31908 3.18848i 0.346180 0.150810i
\(448\) −1.96058 −0.0926285
\(449\) −37.0794 −1.74989 −0.874944 0.484225i \(-0.839102\pi\)
−0.874944 + 0.484225i \(0.839102\pi\)
\(450\) 2.92405 + 0.670786i 0.137841 + 0.0316211i
\(451\) 50.0494 28.8961i 2.35674 1.36066i
\(452\) −6.07947 + 10.5300i −0.285954 + 0.495287i
\(453\) 3.38236 29.8713i 0.158917 1.40348i
\(454\) 0.158042 + 0.273737i 0.00741729 + 0.0128471i
\(455\) −3.93045 −0.184263
\(456\) 7.04758 2.70770i 0.330033 0.126800i
\(457\) 24.8264 1.16133 0.580665 0.814142i \(-0.302793\pi\)
0.580665 + 0.814142i \(0.302793\pi\)
\(458\) 3.06670 + 5.31168i 0.143297 + 0.248198i
\(459\) 20.0229 3.75426i 0.934588 0.175234i
\(460\) −3.41307 + 5.91161i −0.159135 + 0.275630i
\(461\) −4.14251 + 2.39168i −0.192936 + 0.111392i −0.593356 0.804940i \(-0.702197\pi\)
0.400420 + 0.916332i \(0.368864\pi\)
\(462\) 15.2928 6.66217i 0.711487 0.309952i
\(463\) −19.1590 −0.890394 −0.445197 0.895433i \(-0.646866\pi\)
−0.445197 + 0.895433i \(0.646866\pi\)
\(464\) −5.03345 −0.233672
\(465\) −0.161586 0.370917i −0.00749338 0.0172009i
\(466\) 9.37631 + 5.41341i 0.434349 + 0.250772i
\(467\) 18.5479i 0.858296i 0.903234 + 0.429148i \(0.141186\pi\)
−0.903234 + 0.429148i \(0.858814\pi\)
\(468\) −5.74899 + 1.76639i −0.265747 + 0.0816515i
\(469\) 26.9493 + 15.5592i 1.24441 + 0.718458i
\(470\) −0.929084 1.60922i −0.0428554 0.0742278i
\(471\) 1.15344 + 2.64769i 0.0531476 + 0.121999i
\(472\) 4.25879 + 7.37643i 0.196026 + 0.339528i
\(473\) 25.0556 14.4659i 1.15206 0.665141i
\(474\) 17.3561 + 12.8242i 0.797191 + 0.589033i
\(475\) −0.191874 + 4.35467i −0.00880380 + 0.199806i
\(476\) 7.68654i 0.352312i
\(477\) −21.6161 + 23.2452i −0.989734 + 1.06432i
\(478\) 2.75990 1.59343i 0.126235 0.0728817i
\(479\) 22.9732 + 13.2636i 1.04967 + 0.606028i 0.922557 0.385860i \(-0.126095\pi\)
0.127114 + 0.991888i \(0.459429\pi\)
\(480\) 0.194877 1.72105i 0.00889485 0.0785550i
\(481\) 7.21137 12.4905i 0.328810 0.569516i
\(482\) 19.0892i 0.869490i
\(483\) −18.6432 13.7752i −0.848297 0.626794i
\(484\) 6.56495 11.3708i 0.298407 0.516855i
\(485\) −7.68789 + 13.3158i −0.349089 + 0.604640i
\(486\) −0.625786 + 15.5759i −0.0283862 + 0.706537i
\(487\) 11.3164i 0.512796i −0.966571 0.256398i \(-0.917464\pi\)
0.966571 0.256398i \(-0.0825357\pi\)
\(488\) −3.91378 + 6.77887i −0.177169 + 0.306865i
\(489\) 14.7312 + 1.66803i 0.666167 + 0.0754308i
\(490\) −2.73330 1.57807i −0.123478 0.0712900i
\(491\) 6.02160 3.47657i 0.271751 0.156896i −0.357932 0.933748i \(-0.616518\pi\)
0.629683 + 0.776852i \(0.283185\pi\)
\(492\) 20.2481 + 2.29272i 0.912857 + 0.103364i
\(493\) 19.7339i 0.888772i
\(494\) −4.03188 7.75274i −0.181403 0.348812i
\(495\) 4.32818 + 14.0867i 0.194537 + 0.633151i
\(496\) −0.202293 + 0.116794i −0.00908322 + 0.00524420i
\(497\) −4.43951 7.68946i −0.199139 0.344920i
\(498\) −21.7720 + 9.48476i −0.975628 + 0.425022i
\(499\) −17.0361 29.5074i −0.762642 1.32093i −0.941484 0.337057i \(-0.890569\pi\)
0.178843 0.983878i \(-0.442765\pi\)
\(500\) 0.866025 + 0.500000i 0.0387298 + 0.0223607i
\(501\) −9.97454 + 13.4995i −0.445630 + 0.603111i
\(502\) 11.6470i 0.519833i
\(503\) −3.97574 2.29540i −0.177270 0.102347i 0.408740 0.912651i \(-0.365968\pi\)
−0.586009 + 0.810304i \(0.699302\pi\)
\(504\) 5.73281 + 1.31513i 0.255360 + 0.0585803i
\(505\) −11.4829 −0.510983
\(506\) −33.5315 −1.49066
\(507\) −6.21268 14.2610i −0.275915 0.633355i
\(508\) −11.2081 + 6.47100i −0.497279 + 0.287104i
\(509\) 10.1206 17.5295i 0.448590 0.776980i −0.549705 0.835359i \(-0.685260\pi\)
0.998294 + 0.0583790i \(0.0185932\pi\)
\(510\) 6.74748 + 0.764024i 0.298784 + 0.0338316i
\(511\) −2.23288 3.86746i −0.0987769 0.171087i
\(512\) −1.00000 −0.0441942
\(513\) −22.4237 + 3.19003i −0.990032 + 0.140843i
\(514\) −23.5470 −1.03861
\(515\) −0.881671 1.52710i −0.0388511 0.0672920i
\(516\) 10.1366 + 1.14777i 0.446237 + 0.0505279i
\(517\) 4.56386 7.90484i 0.200718 0.347655i
\(518\) −12.2153 + 7.05248i −0.536708 + 0.309868i
\(519\) 7.22575 + 16.5865i 0.317175 + 0.728068i
\(520\) −2.00475 −0.0879139
\(521\) 19.3708 0.848650 0.424325 0.905510i \(-0.360511\pi\)
0.424325 + 0.905510i \(0.360511\pi\)
\(522\) 14.7181 + 3.37637i 0.644192 + 0.147780i
\(523\) −35.0535 20.2382i −1.53278 0.884954i −0.999232 0.0391867i \(-0.987523\pi\)
−0.533553 0.845767i \(-0.679143\pi\)
\(524\) 8.94178i 0.390624i
\(525\) −2.01801 + 2.73115i −0.0880731 + 0.119197i
\(526\) −3.46036 1.99784i −0.150879 0.0871099i
\(527\) −0.457897 0.793100i −0.0199463 0.0345480i
\(528\) 7.80018 3.39807i 0.339459 0.147882i
\(529\) 11.7981 + 20.4349i 0.512960 + 0.888473i
\(530\) −9.16331 + 5.29044i −0.398029 + 0.229802i
\(531\) −7.50488 24.4258i −0.325684 1.05999i
\(532\) −0.376184 + 8.53767i −0.0163096 + 0.370155i
\(533\) 23.5858i 1.02161i
\(534\) −18.8675 2.13639i −0.816477 0.0924505i
\(535\) −2.60787 + 1.50566i −0.112748 + 0.0650952i
\(536\) 13.7456 + 7.93605i 0.593721 + 0.342785i
\(537\) 2.31774 + 0.262440i 0.100018 + 0.0113251i
\(538\) −1.12373 + 1.94636i −0.0484476 + 0.0839137i
\(539\) 15.5037i 0.667791i
\(540\) −1.72429 + 4.90172i −0.0742014 + 0.210936i
\(541\) 14.7204 25.4965i 0.632879 1.09618i −0.354082 0.935215i \(-0.615206\pi\)
0.986960 0.160964i \(-0.0514602\pi\)
\(542\) −2.70149 + 4.67912i −0.116039 + 0.200985i
\(543\) 20.3621 + 15.0453i 0.873823 + 0.645655i
\(544\) 3.92055i 0.168092i
\(545\) 5.23051 9.05950i 0.224050 0.388067i
\(546\) 0.765953 6.76452i 0.0327798 0.289495i
\(547\) 10.3833 + 5.99478i 0.443956 + 0.256318i 0.705274 0.708935i \(-0.250824\pi\)
−0.261318 + 0.965253i \(0.584157\pi\)
\(548\) −3.55144 + 2.05042i −0.151710 + 0.0875898i
\(549\) 15.9912 17.1964i 0.682490 0.733925i
\(550\) 4.91222i 0.209458i
\(551\) −0.965790 + 21.9191i −0.0411441 + 0.933783i
\(552\) −9.50907 7.02611i −0.404733 0.299051i
\(553\) −21.1545 + 12.2136i −0.899582 + 0.519374i
\(554\) −10.0766 17.4531i −0.428112 0.741511i
\(555\) −4.97672 11.4239i −0.211250 0.484919i
\(556\) 6.74169 + 11.6770i 0.285911 + 0.495213i
\(557\) 24.0375 + 13.8780i 1.01850 + 0.588031i 0.913669 0.406459i \(-0.133237\pi\)
0.104831 + 0.994490i \(0.466570\pi\)
\(558\) 0.669857 0.205815i 0.0283573 0.00871286i
\(559\) 11.8074i 0.499401i
\(560\) 1.69791 + 0.980288i 0.0717497 + 0.0414247i
\(561\) 13.3223 + 30.5810i 0.562469 + 1.29113i
\(562\) 18.7084 0.789164
\(563\) 17.1980 0.724809 0.362404 0.932021i \(-0.381956\pi\)
0.362404 + 0.932021i \(0.381956\pi\)
\(564\) 2.95061 1.28540i 0.124243 0.0541252i
\(565\) 10.5300 6.07947i 0.442998 0.255765i
\(566\) −10.5801 + 18.3252i −0.444713 + 0.770265i
\(567\) −15.8808 7.69098i −0.666933 0.322991i
\(568\) −2.26439 3.92204i −0.0950118 0.164565i
\(569\) −26.3732 −1.10562 −0.552812 0.833306i \(-0.686445\pi\)
−0.552812 + 0.833306i \(0.686445\pi\)
\(570\) −7.45723 1.17885i −0.312349 0.0493766i
\(571\) 6.53285 0.273391 0.136696 0.990613i \(-0.456352\pi\)
0.136696 + 0.990613i \(0.456352\pi\)
\(572\) −4.92387 8.52840i −0.205878 0.356590i
\(573\) −1.18751 + 10.4875i −0.0496089 + 0.438122i
\(574\) −11.5331 + 19.9758i −0.481380 + 0.833775i
\(575\) 5.91161 3.41307i 0.246531 0.142335i
\(576\) 2.92405 + 0.670786i 0.121835 + 0.0279494i
\(577\) 6.44640 0.268367 0.134184 0.990956i \(-0.457159\pi\)
0.134184 + 0.990956i \(0.457159\pi\)
\(578\) −1.62925 −0.0677679
\(579\) 4.76521 2.07591i 0.198035 0.0862721i
\(580\) 4.35910 + 2.51673i 0.181002 + 0.104501i
\(581\) 26.8816i 1.11524i
\(582\) −21.4190 15.8262i −0.887847 0.656017i
\(583\) −45.0122 25.9878i −1.86421 1.07630i
\(584\) −1.13889 1.97262i −0.0471276 0.0816275i
\(585\) 5.86197 + 1.34475i 0.242363 + 0.0555987i
\(586\) 6.15600 + 10.6625i 0.254302 + 0.440464i
\(587\) −29.3043 + 16.9188i −1.20952 + 0.698315i −0.962654 0.270736i \(-0.912733\pi\)
−0.246863 + 0.969050i \(0.579400\pi\)
\(588\) 3.24860 4.39663i 0.133970 0.181314i
\(589\) 0.469784 + 0.903329i 0.0193571 + 0.0372210i
\(590\) 8.51757i 0.350663i
\(591\) 0.483496 4.27000i 0.0198884 0.175644i
\(592\) −6.23045 + 3.59715i −0.256070 + 0.147842i
\(593\) 25.1953 + 14.5465i 1.03465 + 0.597354i 0.918312 0.395856i \(-0.129552\pi\)
0.116335 + 0.993210i \(0.462886\pi\)
\(594\) −25.0875 + 4.70386i −1.02935 + 0.193002i
\(595\) −3.84327 + 6.65674i −0.157559 + 0.272900i
\(596\) 4.60924i 0.188802i
\(597\) −24.3041 + 32.8929i −0.994700 + 1.34622i
\(598\) −6.84234 + 11.8513i −0.279804 + 0.484635i
\(599\) 13.7688 23.8483i 0.562580 0.974416i −0.434691 0.900580i \(-0.643142\pi\)
0.997270 0.0738365i \(-0.0235243\pi\)
\(600\) −1.02929 + 1.39304i −0.0420208 + 0.0568705i
\(601\) 14.9379i 0.609330i −0.952460 0.304665i \(-0.901455\pi\)
0.952460 0.304665i \(-0.0985445\pi\)
\(602\) −5.77364 + 10.0002i −0.235316 + 0.407580i
\(603\) −34.8695 32.4257i −1.42000 1.32048i
\(604\) 15.0311 + 8.67821i 0.611607 + 0.353111i
\(605\) −11.3708 + 6.56495i −0.462290 + 0.266903i
\(606\) 2.23775 19.7627i 0.0909024 0.802805i
\(607\) 42.6299i 1.73030i −0.501517 0.865148i \(-0.667225\pi\)
0.501517 0.865148i \(-0.332775\pi\)
\(608\) −0.191874 + 4.35467i −0.00778153 + 0.176605i
\(609\) −10.1576 + 13.7471i −0.411605 + 0.557062i
\(610\) 6.77887 3.91378i 0.274468 0.158464i
\(611\) −1.86258 3.22608i −0.0753518 0.130513i
\(612\) −2.62985 + 11.4639i −0.106305 + 0.463400i
\(613\) 8.76635 + 15.1838i 0.354069 + 0.613266i 0.986958 0.160976i \(-0.0514643\pi\)
−0.632889 + 0.774243i \(0.718131\pi\)
\(614\) −13.1520 7.59331i −0.530771 0.306441i
\(615\) −16.3890 12.1096i −0.660870 0.488307i
\(616\) 9.63077i 0.388035i
\(617\) 38.2258 + 22.0697i 1.53891 + 0.888491i 0.998903 + 0.0468313i \(0.0149123\pi\)
0.540008 + 0.841660i \(0.318421\pi\)
\(618\) 2.80004 1.21981i 0.112634 0.0490678i
\(619\) −42.3600 −1.70259 −0.851296 0.524685i \(-0.824183\pi\)
−0.851296 + 0.524685i \(0.824183\pi\)
\(620\) 0.233588 0.00938111
\(621\) 23.0919 + 26.9232i 0.926648 + 1.08039i
\(622\) −27.6123 + 15.9420i −1.10715 + 0.639214i
\(623\) 10.7467 18.6138i 0.430556 0.745746i
\(624\) 0.390678 3.45027i 0.0156396 0.138121i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −14.9516 −0.597585
\(627\) −13.3008 34.6192i −0.531184 1.38256i
\(628\) −1.66740 −0.0665365
\(629\) −14.1028 24.4268i −0.562316 0.973961i
\(630\) −4.30720 4.00534i −0.171603 0.159577i
\(631\) −17.6187 + 30.5165i −0.701391 + 1.21484i 0.266588 + 0.963811i \(0.414104\pi\)
−0.967978 + 0.251033i \(0.919230\pi\)
\(632\) −10.7900 + 6.22958i −0.429201 + 0.247800i
\(633\) 4.62655 2.01551i 0.183889 0.0801094i
\(634\) 25.5166 1.01339
\(635\) 12.9420 0.513587
\(636\) −7.31942 16.8015i −0.290234 0.666224i
\(637\) −5.47957 3.16363i −0.217109 0.125348i
\(638\) 24.7254i 0.978889i
\(639\) 3.99034 + 12.9872i 0.157855 + 0.513764i
\(640\) 0.866025 + 0.500000i 0.0342327 + 0.0197642i
\(641\) 12.1088 + 20.9730i 0.478267 + 0.828383i 0.999690 0.0249155i \(-0.00793168\pi\)
−0.521422 + 0.853299i \(0.674598\pi\)
\(642\) −2.08310 4.78171i −0.0822135 0.188719i
\(643\) −8.96485 15.5276i −0.353539 0.612348i 0.633328 0.773884i \(-0.281689\pi\)
−0.986867 + 0.161536i \(0.948355\pi\)
\(644\) 11.5902 6.69158i 0.456716 0.263685i
\(645\) −8.20463 6.06228i −0.323057 0.238702i
\(646\) −17.0727 0.752254i −0.671718 0.0295970i
\(647\) 16.2268i 0.637940i 0.947765 + 0.318970i \(0.103337\pi\)
−0.947765 + 0.318970i \(0.896663\pi\)
\(648\) −8.10009 3.92282i −0.318202 0.154103i
\(649\) 36.2346 20.9201i 1.42233 0.821185i
\(650\) 1.73616 + 1.00237i 0.0680978 + 0.0393163i
\(651\) −0.0892469 + 0.788184i −0.00349786 + 0.0308914i
\(652\) −4.27970 + 7.41266i −0.167606 + 0.290302i
\(653\) 13.0356i 0.510121i −0.966925 0.255060i \(-0.917905\pi\)
0.966925 0.255060i \(-0.0820953\pi\)
\(654\) 14.5726 + 10.7675i 0.569833 + 0.421041i
\(655\) 4.47089 7.74381i 0.174692 0.302576i
\(656\) −5.88249 + 10.1888i −0.229672 + 0.397804i
\(657\) 2.00697 + 6.53197i 0.0782992 + 0.254837i
\(658\) 3.64308i 0.142022i
\(659\) 16.7755 29.0560i 0.653480 1.13186i −0.328792 0.944402i \(-0.606642\pi\)
0.982272 0.187459i \(-0.0600252\pi\)
\(660\) −8.45419 0.957276i −0.329079 0.0372619i
\(661\) 13.8780 + 8.01246i 0.539791 + 0.311649i 0.744994 0.667071i \(-0.232452\pi\)
−0.205203 + 0.978719i \(0.565785\pi\)
\(662\) −20.4616 + 11.8135i −0.795262 + 0.459145i
\(663\) 13.5270 + 1.53167i 0.525345 + 0.0594853i
\(664\) 13.7111i 0.532093i
\(665\) 4.59462 7.20574i 0.178172 0.279427i
\(666\) 20.6310 6.33894i 0.799436 0.245629i
\(667\) 29.7558 17.1795i 1.15215 0.665194i
\(668\) −4.84533 8.39236i −0.187471 0.324710i
\(669\) 6.22295 2.71097i 0.240593 0.104812i
\(670\) −7.93605 13.7456i −0.306596 0.531040i
\(671\) 33.2993 + 19.2253i 1.28550 + 0.742186i
\(672\) −2.01801 + 2.73115i −0.0778464 + 0.105357i
\(673\) 31.9714i 1.23241i 0.787586 + 0.616204i \(0.211330\pi\)
−0.787586 + 0.616204i \(0.788670\pi\)
\(674\) −1.65491 0.955464i −0.0637449 0.0368031i
\(675\) 3.94413 3.38287i 0.151810 0.130207i
\(676\) 8.98100 0.345423
\(677\) −25.2864 −0.971835 −0.485918 0.874005i \(-0.661514\pi\)
−0.485918 + 0.874005i \(0.661514\pi\)
\(678\) 8.41105 + 19.3074i 0.323024 + 0.741494i
\(679\) 26.1067 15.0727i 1.00188 0.578437i
\(680\) −1.96028 + 3.39530i −0.0751732 + 0.130204i
\(681\) 0.543998 + 0.0615974i 0.0208460 + 0.00236042i
\(682\) 0.573717 + 0.993707i 0.0219688 + 0.0380510i
\(683\) 8.39063 0.321059 0.160529 0.987031i \(-0.448680\pi\)
0.160529 + 0.987031i \(0.448680\pi\)
\(684\) 3.48210 12.6046i 0.133141 0.481947i
\(685\) 4.10085 0.156685
\(686\) 9.95594 + 17.2442i 0.380120 + 0.658387i
\(687\) 10.5559 + 1.19526i 0.402733 + 0.0456018i
\(688\) −2.94487 + 5.10067i −0.112272 + 0.194461i
\(689\) −18.3701 + 10.6060i −0.699846 + 0.404056i
\(690\) 4.72204 + 10.8393i 0.179765 + 0.412646i
\(691\) −10.0647 −0.382881 −0.191440 0.981504i \(-0.561316\pi\)
−0.191440 + 0.981504i \(0.561316\pi\)
\(692\) −10.4455 −0.397078
\(693\) 6.46018 28.1608i 0.245402 1.06974i
\(694\) −13.6960 7.90736i −0.519891 0.300159i
\(695\) 13.4834i 0.511454i
\(696\) −5.18091 + 7.01179i −0.196382 + 0.265781i
\(697\) −39.9456 23.0626i −1.51305 0.873558i
\(698\) −14.8893 25.7890i −0.563568 0.976129i
\(699\) 17.1921 7.48955i 0.650264 0.283281i
\(700\) −0.980288 1.69791i −0.0370514 0.0641749i
\(701\) −29.1351 + 16.8212i −1.10042 + 0.635327i −0.936331 0.351119i \(-0.885801\pi\)
−0.164087 + 0.986446i \(0.552468\pi\)
\(702\) −3.45675 + 9.82670i −0.130467 + 0.370885i
\(703\) 14.4690 + 27.8218i 0.545707 + 1.04932i
\(704\) 4.91222i 0.185136i
\(705\) −3.19801 0.362113i −0.120444 0.0136380i
\(706\) 2.12758 1.22836i 0.0800724 0.0462298i
\(707\) 19.4969 + 11.2566i 0.733257 + 0.423346i
\(708\) 14.6592 + 1.65987i 0.550926 + 0.0623819i
\(709\) 22.1508 38.3664i 0.831892 1.44088i −0.0646434 0.997908i \(-0.520591\pi\)
0.896536 0.442971i \(-0.146076\pi\)
\(710\) 4.52879i 0.169962i
\(711\) 35.7290 10.9778i 1.33994 0.411701i
\(712\) 5.48139 9.49404i 0.205424 0.355804i
\(713\) 0.797251 1.38088i 0.0298573 0.0517143i
\(714\) −10.7076 7.91172i −0.400723 0.296089i
\(715\) 9.84775i 0.368285i
\(716\) −0.673349 + 1.16628i −0.0251642 + 0.0435858i
\(717\) 0.621044 5.48475i 0.0231933 0.204832i
\(718\) −3.05773 1.76538i −0.114113 0.0658834i
\(719\) 12.8018 7.39114i 0.477428 0.275643i −0.241916 0.970297i \(-0.577776\pi\)
0.719344 + 0.694654i \(0.244443\pi\)
\(720\) −2.19691 2.04294i −0.0818738 0.0761359i
\(721\) 3.45717i 0.128752i
\(722\) 18.9264 + 1.67110i 0.704367 + 0.0621919i
\(723\) −26.5920 19.6484i −0.988967 0.730733i
\(724\) −12.6588 + 7.30854i −0.470459 + 0.271620i
\(725\) −2.51673 4.35910i −0.0934689 0.161893i
\(726\) −9.08271 20.8491i −0.337091 0.773784i
\(727\) 2.63804 + 4.56923i 0.0978397 + 0.169463i 0.910790 0.412869i \(-0.135473\pi\)
−0.812951 + 0.582333i \(0.802140\pi\)
\(728\) 3.40387 + 1.96523i 0.126156 + 0.0728362i
\(729\) 21.0537 + 16.9039i 0.779766 + 0.626071i
\(730\) 2.27778i 0.0843045i
\(731\) −19.9975 11.5455i −0.739632 0.427027i
\(732\) 5.41478 + 12.4295i 0.200136 + 0.459407i
\(733\) −12.3735 −0.457025 −0.228513 0.973541i \(-0.573386\pi\)
−0.228513 + 0.973541i \(0.573386\pi\)
\(734\) −2.67023 −0.0985601
\(735\) −5.01169 + 2.18329i −0.184859 + 0.0805319i
\(736\) 5.91161 3.41307i 0.217905 0.125807i
\(737\) 38.9836 67.5216i 1.43598 2.48719i
\(738\) 24.0351 25.8465i 0.884746 0.951424i
\(739\) 23.4208 + 40.5660i 0.861548 + 1.49224i 0.870435 + 0.492284i \(0.163838\pi\)
−0.00888687 + 0.999961i \(0.502829\pi\)
\(740\) 7.19430 0.264468
\(741\) −14.9499 2.36329i −0.549197 0.0868177i
\(742\) 20.7446 0.761559
\(743\) −3.70160 6.41135i −0.135798 0.235210i 0.790104 0.612973i \(-0.210027\pi\)
−0.925902 + 0.377763i \(0.876693\pi\)
\(744\) −0.0455208 + 0.402017i −0.00166887 + 0.0147386i
\(745\) 2.30462 3.99172i 0.0844347 0.146245i
\(746\) −3.60651 + 2.08222i −0.132044 + 0.0762354i
\(747\) −9.19720 + 40.0919i −0.336508 + 1.46688i
\(748\) −19.2586 −0.704165
\(749\) 5.90391 0.215724
\(750\) 1.58791 0.691758i 0.0579824 0.0252594i
\(751\) −36.7844 21.2375i −1.34228 0.774966i −0.355139 0.934814i \(-0.615566\pi\)
−0.987142 + 0.159848i \(0.948900\pi\)
\(752\) 1.85817i 0.0677604i
\(753\) −16.2248 11.9882i −0.591264 0.436876i
\(754\) 8.73888 + 5.04540i 0.318251 + 0.183743i
\(755\) −8.67821 15.0311i −0.315833 0.547038i
\(756\) 7.73277 6.63237i 0.281238 0.241217i
\(757\) 24.8985 + 43.1254i 0.904950 + 1.56742i 0.820984 + 0.570951i \(0.193425\pi\)
0.0839656 + 0.996469i \(0.473241\pi\)
\(758\) −9.37204 + 5.41095i −0.340408 + 0.196535i
\(759\) −34.5138 + 46.7106i −1.25277 + 1.69549i
\(760\) 2.34350 3.67532i 0.0850079 0.133318i
\(761\) 32.0785i 1.16284i 0.813602 + 0.581422i \(0.197503\pi\)
−0.813602 + 0.581422i \(0.802497\pi\)
\(762\) −2.52209 + 22.2739i −0.0913657 + 0.806896i
\(763\) −17.7618 + 10.2548i −0.643022 + 0.371249i
\(764\) −5.27726 3.04683i −0.190924 0.110230i
\(765\) 8.00946 8.61309i 0.289583 0.311407i
\(766\) 8.28137 14.3437i 0.299218 0.518261i
\(767\) 17.0756i 0.616563i
\(768\) −1.02929 + 1.39304i −0.0371415 + 0.0502669i
\(769\) −20.0557 + 34.7374i −0.723225 + 1.25266i 0.236475 + 0.971638i \(0.424008\pi\)
−0.959700 + 0.281026i \(0.909325\pi\)
\(770\) 4.81539 8.34049i 0.173534 0.300571i
\(771\) −24.2368 + 32.8018i −0.872867 + 1.18133i
\(772\) 3.00092i 0.108006i
\(773\) 4.07839 7.06397i 0.146689 0.254074i −0.783313 0.621628i \(-0.786472\pi\)
0.930002 + 0.367555i \(0.119805\pi\)
\(774\) 12.0324 12.9392i 0.432496 0.465090i
\(775\) −0.202293 0.116794i −0.00726657 0.00419536i