Properties

Label 570.2.s.a.521.8
Level $570$
Weight $2$
Character 570.521
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 521.8
Character \(\chi\) \(=\) 570.521
Dual form 570.2.s.a.221.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 + 0.866025i) q^{2} +(0.691758 + 1.58791i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(-1.72105 - 0.194877i) q^{6} -1.96058 q^{7} +1.00000 q^{8} +(-2.04294 + 2.19691i) q^{9} +O(q^{10})\) \(q+(-0.500000 + 0.866025i) q^{2} +(0.691758 + 1.58791i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(-1.72105 - 0.194877i) q^{6} -1.96058 q^{7} +1.00000 q^{8} +(-2.04294 + 2.19691i) 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} +(0.194877 - 1.72105i) 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} +(-1.35624 - 3.11322i) q^{21} +(-4.25411 - 2.45611i) q^{22} +(-5.91161 + 3.41307i) q^{23} +(0.691758 + 1.58791i) 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} +(-7.80018 + 3.39807i) q^{33} +(3.39530 - 1.96028i) q^{34} +(1.69791 + 0.980288i) q^{35} +(2.92405 + 0.670786i) 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} +(3.37425 + 0.382070i) 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} +(-1.72105 - 0.194877i) q^{48} -3.15615 q^{49} -1.00000 q^{50} +(0.764024 - 6.74748i) q^{51} +(-1.73616 - 1.00237i) q^{52} +(5.29044 + 9.16331i) q^{53} +(3.94413 - 3.38287i) q^{54} +(2.45611 - 4.25411i) q^{55} -1.96058 q^{56} +(0.518398 - 7.53202i) q^{57} +5.03345 q^{58} +(4.25879 - 7.37643i) q^{59} +(-1.58791 + 0.691758i) q^{60} +(3.91378 + 6.77887i) q^{61} +(-0.202293 - 0.116794i) q^{62} +(4.00534 - 4.30720i) q^{63} +1.00000 q^{64} -2.00475 q^{65} +(0.957276 - 8.45419i) 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} +(-2.04294 + 2.19691i) 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} +(-3.18336 + 1.38680i) q^{78} +(10.7900 + 6.22958i) q^{79} +(0.866025 - 0.500000i) q^{80} +(-0.652788 - 8.97629i) 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} +(-0.670786 + 2.92405i) q^{90} +(-3.40387 + 1.96523i) q^{91} +(5.91161 + 3.41307i) q^{92} +(-0.370917 + 0.161586i) 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} +(-10.7917 - 10.0354i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 12q^{2} + 4q^{3} - 12q^{4} - 2q^{6} - 12q^{7} + 24q^{8} - 4q^{9} + O(q^{10}) \) \( 24q - 12q^{2} + 4q^{3} - 12q^{4} - 2q^{6} - 12q^{7} + 24q^{8} - 4q^{9} - 2q^{12} + 18q^{13} + 6q^{14} - 12q^{16} + 12q^{17} + 2q^{18} + 6q^{19} - 6q^{21} + 18q^{22} + 4q^{24} + 12q^{25} + 28q^{27} + 6q^{28} - 12q^{32} - 22q^{33} - 12q^{34} + 2q^{36} + 6q^{38} + 40q^{39} + 6q^{41} - 6q^{42} - 22q^{43} - 18q^{44} + 8q^{45} + 12q^{47} - 2q^{48} + 12q^{49} - 24q^{50} - 20q^{51} - 18q^{52} + 8q^{53} + 4q^{54} - 12q^{56} + 26q^{59} + 22q^{61} - 18q^{62} + 6q^{63} + 24q^{64} + 8q^{65} + 8q^{66} - 48q^{67} - 64q^{69} + 24q^{71} - 4q^{72} - 8q^{73} + 30q^{74} + 2q^{75} - 12q^{76} - 38q^{78} + 18q^{79} - 12q^{81} + 6q^{82} + 12q^{84} - 22q^{86} - 24q^{87} + 28q^{89} + 8q^{90} + 18q^{91} + 2q^{93} - 2q^{96} + 6q^{97} - 6q^{98} + 2q^{99} + O(q^{100}) \)

Character values

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

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

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
\(3\) 0.691758 + 1.58791i 0.399387 + 0.916782i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) −0.866025 0.500000i −0.387298 0.223607i
\(6\) −1.72105 0.194877i −0.702617 0.0795580i
\(7\) −1.96058 −0.741028 −0.370514 0.928827i \(-0.620818\pi\)
−0.370514 + 0.928827i \(0.620818\pi\)
\(8\) 1.00000 0.353553
\(9\) −2.04294 + 2.19691i −0.680980 + 0.732302i
\(10\) 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 −0.239527 0.970890i \(-0.576992\pi\)
0.721051 + 0.692881i \(0.243659\pi\)
\(14\) 0.980288 1.69791i 0.261993 0.453785i
\(15\) 0.194877 1.72105i 0.0503169 0.444374i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −3.39530 1.96028i −0.823481 0.475437i 0.0281343 0.999604i \(-0.491043\pi\)
−0.851615 + 0.524167i \(0.824377\pi\)
\(18\) −0.881106 2.86769i −0.207679 0.675921i
\(19\) −3.86720 2.01117i −0.887195 0.461394i
\(20\) 1.00000i 0.223607i
\(21\) −1.35624 3.11322i −0.295957 0.679361i
\(22\) −4.25411 2.45611i −0.906978 0.523644i
\(23\) −5.91161 + 3.41307i −1.23266 + 0.711674i −0.967583 0.252554i \(-0.918729\pi\)
−0.265073 + 0.964228i \(0.585396\pi\)
\(24\) 0.691758 + 1.58791i 0.141205 + 0.324132i
\(25\) 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 \(-0.321456\pi\)
−0.999304 + 0.0373055i \(0.988123\pi\)
\(30\) 1.39304 + 1.02929i 0.254333 + 0.187923i
\(31\) 0.233588i 0.0419536i 0.999780 + 0.0209768i \(0.00667761\pi\)
−0.999780 + 0.0209768i \(0.993322\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) −7.80018 + 3.39807i −1.35784 + 0.591528i
\(34\) 3.39530 1.96028i 0.582289 0.336185i
\(35\) 1.69791 + 0.980288i 0.286999 + 0.165699i
\(36\) 2.92405 + 0.670786i 0.487341 + 0.111798i
\(37\) 7.19430i 1.18274i 0.806402 + 0.591368i \(0.201412\pi\)
−0.806402 + 0.591368i \(0.798588\pi\)
\(38\) 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 0.117282 0.993099i \(-0.462582\pi\)
0.801407 0.598119i \(-0.204085\pi\)
\(42\) 3.37425 + 0.382070i 0.520659 + 0.0589547i
\(43\) −2.94487 + 5.10067i −0.449089 + 0.777845i −0.998327 0.0578212i \(-0.981585\pi\)
0.549238 + 0.835666i \(0.314918\pi\)
\(44\) 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 \(-0.623396\pi\)
0.612752 + 0.790275i \(0.290063\pi\)
\(48\) −1.72105 0.194877i −0.248413 0.0281280i
\(49\) −3.15615 −0.450878
\(50\) −1.00000 −0.141421
\(51\) 0.764024 6.74748i 0.106985 0.944836i
\(52\) −1.73616 1.00237i −0.240762 0.139004i
\(53\) 5.29044 + 9.16331i 0.726698 + 1.25868i 0.958271 + 0.285861i \(0.0922794\pi\)
−0.231573 + 0.972817i \(0.574387\pi\)
\(54\) 3.94413 3.38287i 0.536729 0.460350i
\(55\) 2.45611 4.25411i 0.331182 0.573624i
\(56\) −1.96058 −0.261993
\(57\) 0.518398 7.53202i 0.0686635 0.997640i
\(58\) 5.03345 0.660925
\(59\) 4.25879 7.37643i 0.554447 0.960330i −0.443500 0.896274i \(-0.646263\pi\)
0.997946 0.0640552i \(-0.0204034\pi\)
\(60\) −1.58791 + 0.691758i −0.204999 + 0.0893056i
\(61\) 3.91378 + 6.77887i 0.501108 + 0.867945i 0.999999 + 0.00128020i \(0.000407502\pi\)
−0.498891 + 0.866665i \(0.666259\pi\)
\(62\) −0.202293 0.116794i −0.0256912 0.0148328i
\(63\) 4.00534 4.30720i 0.504625 0.542656i
\(64\) 1.00000 0.125000
\(65\) −2.00475 −0.248658
\(66\) 0.957276 8.45419i 0.117833 1.04064i
\(67\) −13.7456 + 7.93605i −1.67930 + 0.969542i −0.717186 + 0.696882i \(0.754570\pi\)
−0.962110 + 0.272661i \(0.912096\pi\)
\(68\) 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 \(-0.919939\pi\)
0.699801 + 0.714338i \(0.253272\pi\)
\(72\) −2.04294 + 2.19691i −0.240763 + 0.258908i
\(73\) 1.13889 1.97262i 0.133297 0.230877i −0.791649 0.610977i \(-0.790777\pi\)
0.924946 + 0.380099i \(0.124110\pi\)
\(74\) −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
\(78\) −3.18336 + 1.38680i −0.360445 + 0.157024i
\(79\) 10.7900 + 6.22958i 1.21396 + 0.700883i 0.963621 0.267274i \(-0.0861229\pi\)
0.250344 + 0.968157i \(0.419456\pi\)
\(80\) 0.866025 0.500000i 0.0968246 0.0559017i
\(81\) −0.652788 8.97629i −0.0725320 0.997366i
\(82\) 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 0.995358 + 0.0962408i \(0.0306819\pi\)
−0.414332 + 0.910126i \(0.635985\pi\)
\(90\) −0.670786 + 2.92405i −0.0707070 + 0.308222i
\(91\) −3.40387 + 1.96523i −0.356823 + 0.206012i
\(92\) 5.91161 + 3.41307i 0.616328 + 0.355837i
\(93\) −0.370917 + 0.161586i −0.0384623 + 0.0167557i
\(94\) 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 −0.363484 0.931600i \(-0.618413\pi\)
−0.988532 + 0.151013i \(0.951746\pi\)
\(98\) 1.57807 2.73330i 0.159409 0.276105i
\(99\) −10.7917 10.0354i −1.08460 1.00859i
\(100\) 0.500000 0.866025i 0.0500000 0.0866025i
\(101\) 9.94449 5.74146i 0.989514 0.571296i 0.0843851 0.996433i \(-0.473107\pi\)
0.905129 + 0.425137i \(0.139774\pi\)
\(102\) 5.46148 + 4.03541i 0.540767 + 0.399565i
\(103\) 1.76334i 0.173747i 0.996219 + 0.0868736i \(0.0276876\pi\)
−0.996219 + 0.0868736i \(0.972312\pi\)
\(104\) 1.73616 1.00237i 0.170245 0.0982907i
\(105\) −0.382070 + 3.37425i −0.0372862 + 0.329293i
\(106\) −10.5809 −1.02771
\(107\) 3.01131 0.291115 0.145557 0.989350i \(-0.453502\pi\)
0.145557 + 0.989350i \(0.453502\pi\)
\(108\) 0.957584 + 5.10716i 0.0921436 + 0.491436i
\(109\) 9.05950 + 5.23051i 0.867743 + 0.500992i 0.866598 0.499008i \(-0.166302\pi\)
0.00114554 + 0.999999i \(0.499635\pi\)
\(110\) 2.45611 + 4.25411i 0.234181 + 0.405613i
\(111\) −11.4239 + 4.97672i −1.08431 + 0.472369i
\(112\) 0.980288 1.69791i 0.0926285 0.160437i
\(113\) −12.1589 −1.14382 −0.571909 0.820317i \(-0.693797\pi\)
−0.571909 + 0.820317i \(0.693797\pi\)
\(114\) 6.26372 + 4.21495i 0.586651 + 0.394767i
\(115\) 6.82614 0.636541
\(116\) −2.51673 + 4.35910i −0.233672 + 0.404732i
\(117\) −1.34475 + 5.86197i −0.124323 + 0.541939i
\(118\) 4.25879 + 7.37643i 0.392053 + 0.679056i
\(119\) 6.65674 + 3.84327i 0.610222 + 0.352312i
\(120\) 0.194877 1.72105i 0.0177897 0.157110i
\(121\) −13.1299 −1.19363
\(122\) −7.82756 −0.708674
\(123\) 20.2481 + 2.29272i 1.82571 + 0.206727i
\(124\) 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 0.0879240 0.996127i \(-0.471977\pi\)
0.906633 + 0.421919i \(0.138643\pi\)
\(128\) −0.500000 + 0.866025i −0.0441942 + 0.0765466i
\(129\) −10.1366 1.14777i −0.892475 0.101056i
\(130\) 1.00237 1.73616i 0.0879139 0.152271i
\(131\) −7.74381 4.47089i −0.676580 0.390624i 0.121985 0.992532i \(-0.461074\pi\)
−0.798565 + 0.601908i \(0.794407\pi\)
\(132\) 6.84290 + 5.05612i 0.595598 + 0.440079i
\(133\) 7.58193 + 3.94305i 0.657436 + 0.341906i
\(134\) 15.8721i 1.37114i
\(135\) 3.38287 + 3.94413i 0.291151 + 0.339457i
\(136\) −3.39530 1.96028i −0.291145 0.168092i
\(137\) −3.55144 + 2.05042i −0.303420 + 0.175180i −0.643978 0.765044i \(-0.722717\pi\)
0.340558 + 0.940223i \(0.389384\pi\)
\(138\) 10.8393 4.72204i 0.922704 0.401967i
\(139\) 6.74169 + 11.6770i 0.571823 + 0.990426i 0.996379 + 0.0850246i \(0.0270969\pi\)
−0.424556 + 0.905402i \(0.639570\pi\)
\(140\) 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
\(147\) −2.18329 5.01169i −0.180075 0.413357i
\(148\) 6.23045 3.59715i 0.512140 0.295684i
\(149\) −3.99172 2.30462i −0.327014 0.188802i 0.327500 0.944851i \(-0.393794\pi\)
−0.654515 + 0.756049i \(0.727127\pi\)
\(150\) −0.691758 1.58791i −0.0564818 0.129653i
\(151\) 17.3564i 1.41245i 0.707990 + 0.706223i \(0.249602\pi\)
−0.707990 + 0.706223i \(0.750398\pi\)
\(152\) −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
\(156\) 0.390678 3.45027i 0.0312793 0.276243i
\(157\) 0.833700 1.44401i 0.0665365 0.115245i −0.830838 0.556514i \(-0.812138\pi\)
0.897375 + 0.441270i \(0.145472\pi\)
\(158\) −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
\(162\) 8.10009 + 3.92282i 0.636403 + 0.308206i
\(163\) 8.55940 0.670424 0.335212 0.942143i \(-0.391192\pi\)
0.335212 + 0.942143i \(0.391192\pi\)
\(164\) −11.7650 −0.918690
\(165\) 8.45419 + 0.957276i 0.658158 + 0.0745238i
\(166\) −11.8742 6.85554i −0.921613 0.532093i
\(167\) 4.84533 + 8.39236i 0.374943 + 0.649420i 0.990318 0.138814i \(-0.0443290\pi\)
−0.615376 + 0.788234i \(0.710996\pi\)
\(168\) −1.35624 3.11322i −0.104637 0.240190i
\(169\) −4.49050 + 7.77777i −0.345423 + 0.598290i
\(170\) −3.92055 −0.300693
\(171\) 12.3188 4.38716i 0.942042 0.335495i
\(172\) 5.88974 0.449089
\(173\) −5.22274 + 9.04605i −0.397078 + 0.687759i −0.993364 0.115013i \(-0.963309\pi\)
0.596286 + 0.802772i \(0.296642\pi\)
\(174\) 3.48193 + 7.99269i 0.263965 + 0.605924i
\(175\) −0.980288 1.69791i −0.0741028 0.128350i
\(176\) −4.25411 2.45611i −0.320665 0.185136i
\(177\) 14.6592 + 1.65987i 1.10185 + 0.124764i
\(178\) −10.9628 −0.821695
\(179\) −1.34670 −0.100657 −0.0503285 0.998733i \(-0.516027\pi\)
−0.0503285 + 0.998733i \(0.516027\pi\)
\(180\) −2.19691 2.04294i −0.163748 0.152272i
\(181\) 12.6588 7.30854i 0.940919 0.543240i 0.0506704 0.998715i \(-0.483864\pi\)
0.890248 + 0.455476i \(0.150531\pi\)
\(182\) 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
\(186\) 0.0455208 0.402017i 0.00333774 0.0294773i
\(187\) 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 \(0.929244\pi\)
\(192\) 0.691758 + 1.58791i 0.0499234 + 0.114598i
\(193\) 2.59888 + 1.50046i 0.187071 + 0.108006i 0.590611 0.806957i \(-0.298887\pi\)
−0.403540 + 0.914962i \(0.632220\pi\)
\(194\) 13.3158 7.68789i 0.956020 0.551958i
\(195\) −1.38680 3.18336i −0.0993108 0.227965i
\(196\) 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 −0.892459 0.451128i \(-0.851022\pi\)
0.0555409 0.998456i \(-0.482312\pi\)
\(200\) 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
\(204\) −6.22550 + 2.71208i −0.435872 + 0.189883i
\(205\) −10.1888 + 5.88249i −0.711614 + 0.410851i
\(206\) −1.52710 0.881671i −0.106398 0.0614289i
\(207\) 4.57888 19.9599i 0.318254 1.38731i
\(208\) 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 0.584333 0.811514i \(-0.301356\pi\)
−0.410625 + 0.911804i \(0.634689\pi\)
\(212\) 5.29044 9.16331i 0.363349 0.629339i
\(213\) −7.79428 0.882554i −0.534055 0.0604716i
\(214\) −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
\(219\) 3.92018 + 0.443886i 0.264901 + 0.0299950i
\(220\) −4.91222 −0.331182
\(221\) −7.85971 −0.528702
\(222\) 1.40200 12.3818i 0.0940961 0.831010i
\(223\) 3.39391 + 1.95947i 0.227273 + 0.131216i 0.609313 0.792930i \(-0.291445\pi\)
−0.382040 + 0.924146i \(0.624778\pi\)
\(224\) 0.980288 + 1.69791i 0.0654982 + 0.113446i
\(225\) −2.92405 0.670786i −0.194936 0.0447190i
\(226\) 6.07947 10.5300i 0.404400 0.700442i
\(227\) −0.316084 −0.0209793 −0.0104896 0.999945i \(-0.503339\pi\)
−0.0104896 + 0.999945i \(0.503339\pi\)
\(228\) −6.78212 + 3.31706i −0.449157 + 0.219678i
\(229\) 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
\(231\) 15.2928 6.66217i 1.00619 0.438339i
\(232\) −2.51673 4.35910i −0.165231 0.286189i
\(233\) −9.37631 5.41341i −0.614262 0.354644i 0.160369 0.987057i \(-0.448731\pi\)
−0.774632 + 0.632413i \(0.782065\pi\)
\(234\) −4.40424 4.09558i −0.287914 0.267736i
\(235\) −1.85817 −0.121214
\(236\) −8.51757 −0.554447
\(237\) −2.42800 + 21.4429i −0.157715 + 1.39287i
\(238\) −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 −0.926785 0.375593i \(-0.877439\pi\)
−0.138119 + 0.990416i \(0.544106\pi\)
\(242\) 6.56495 11.3708i 0.422011 0.730944i
\(243\) 13.8020 7.24600i 0.885399 0.464831i
\(244\) 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
\(249\) −21.7720 + 9.48476i −1.37975 + 0.601072i
\(250\) 0.866025 + 0.500000i 0.0547723 + 0.0316228i
\(251\) 10.0866 5.82352i 0.636663 0.367578i −0.146665 0.989186i \(-0.546854\pi\)
0.783328 + 0.621609i \(0.213521\pi\)
\(252\) −5.73281 1.31513i −0.361133 0.0828451i
\(253\) −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 0.954982 + 0.296665i \(0.0958746\pi\)
−0.220571 + 0.975371i \(0.570792\pi\)
\(258\) 6.06228 8.20463i 0.377421 0.510798i
\(259\) 14.1050i 0.876440i
\(260\) 1.00237 + 1.73616i 0.0621645 + 0.107672i
\(261\) 14.7181 + 3.37637i 0.911025 + 0.208992i
\(262\) 7.74381 4.47089i 0.478414 0.276213i
\(263\) 3.46036 + 1.99784i 0.213375 + 0.123192i 0.602879 0.797833i \(-0.294020\pi\)
−0.389504 + 0.921025i \(0.627354\pi\)
\(264\) −7.80018 + 3.39807i −0.480068 + 0.209137i
\(265\) 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 \(-0.855160\pi\)
0.829733 + 0.558161i \(0.188493\pi\)
\(270\) −5.10716 + 0.957584i −0.310812 + 0.0582767i
\(271\) 2.70149 4.67912i 0.164104 0.284236i −0.772233 0.635340i \(-0.780860\pi\)
0.936337 + 0.351103i \(0.114193\pi\)
\(272\) 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
\(276\) −1.33025 + 11.7481i −0.0800719 + 0.707155i
\(277\) −20.1531 −1.21088 −0.605441 0.795890i \(-0.707003\pi\)
−0.605441 + 0.795890i \(0.707003\pi\)
\(278\) −13.4834 −0.808680
\(279\) −0.513170 0.477206i −0.0307227 0.0285696i
\(280\) 1.69791 + 0.980288i 0.101469 + 0.0585834i
\(281\) −9.35418 16.2019i −0.558023 0.966525i −0.997661 0.0683499i \(-0.978227\pi\)
0.439638 0.898175i \(-0.355107\pi\)
\(282\) −2.95061 + 1.28540i −0.175706 + 0.0765447i
\(283\) 10.5801 18.3252i 0.628919 1.08932i −0.358850 0.933395i \(-0.616831\pi\)
0.987769 0.155924i \(-0.0498355\pi\)
\(284\) 4.52879 0.268734
\(285\) −4.21495 + 6.26372i −0.249672 + 0.371031i
\(286\) −9.84775 −0.582310
\(287\) −11.5331 + 19.9758i −0.680775 + 1.17914i
\(288\) 2.92405 + 0.670786i 0.172301 + 0.0395264i
\(289\) −0.814625 1.41097i −0.0479191 0.0829984i
\(290\) −4.35910 2.51673i −0.255975 0.147787i
\(291\) 2.99638 26.4625i 0.175651 1.55126i
\(292\) −2.27778 −0.133297
\(293\) −12.3120 −0.719275 −0.359638 0.933092i \(-0.617100\pi\)
−0.359638 + 0.933092i \(0.617100\pi\)
\(294\) 5.43189 + 0.615059i 0.316794 + 0.0358709i
\(295\) −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
\(300\) 1.72105 + 0.194877i 0.0993650 + 0.0112512i
\(301\) 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
\(306\) −2.62985 + 11.4639i −0.150339 + 0.655347i
\(307\) −13.1520 7.59331i −0.750624 0.433373i 0.0752952 0.997161i \(-0.476010\pi\)
−0.825919 + 0.563788i \(0.809343\pi\)
\(308\) −8.34049 + 4.81539i −0.475244 + 0.274382i
\(309\) −2.80004 + 1.21981i −0.159288 + 0.0693924i
\(310\) 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 0.573632 0.819113i \(-0.305534\pi\)
−0.996189 + 0.0872234i \(0.972201\pi\)
\(314\) 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 −0.962348 0.271821i \(-0.912374\pi\)
0.245771 0.969328i \(-0.420959\pi\)
\(318\) −7.31942 16.8015i −0.410452 0.942183i
\(319\) 21.4128 12.3627i 1.19889 0.692179i
\(320\) −0.866025 0.500000i −0.0484123 0.0279508i
\(321\) 2.08310 + 4.78171i 0.116267 + 0.266889i
\(322\) 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
\(327\) −2.03861 + 18.0040i −0.112735 + 0.995621i
\(328\) 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 \(-0.775050\pi\)
0.760508 0.649329i \(-0.224950\pi\)
\(332\) 11.8742 6.85554i 0.651679 0.376247i
\(333\) −15.8052 14.6975i −0.866120 0.805420i
\(334\) −9.69066 −0.530249
\(335\) 15.8721 0.867185
\(336\) 3.37425 + 0.382070i 0.184081 + 0.0208436i
\(337\) −1.65491 0.955464i −0.0901489 0.0520475i 0.454248 0.890875i \(-0.349908\pi\)
−0.544397 + 0.838828i \(0.683241\pi\)
\(338\) −4.49050 7.77777i −0.244251 0.423055i
\(339\) −8.41105 19.3074i −0.456826 1.04863i
\(340\) 1.96028 3.39530i 0.106311 0.184136i
\(341\) −1.14743 −0.0621370
\(342\) −2.36000 + 12.8620i −0.127614 + 0.695496i
\(343\) 19.9119 1.07514
\(344\) −2.94487 + 5.10067i −0.158777 + 0.275010i
\(345\) 4.72204 + 10.8393i 0.254226 + 0.583569i
\(346\) −5.22274 9.04605i −0.280776 0.486319i
\(347\) 13.6960 + 7.90736i 0.735237 + 0.424489i 0.820335 0.571883i \(-0.193787\pi\)
−0.0850978 + 0.996373i \(0.527120\pi\)
\(348\) −8.66284 0.980902i −0.464377 0.0525819i
\(349\) −29.7786 −1.59401 −0.797006 0.603972i \(-0.793584\pi\)
−0.797006 + 0.603972i \(0.793584\pi\)
\(350\) 1.96058 0.104797
\(351\) −10.2385 + 1.91971i −0.546493 + 0.102467i
\(352\) 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
\(357\) −1.49793 + 13.2289i −0.0792787 + 0.700150i
\(358\) 0.673349 1.16628i 0.0355876 0.0616396i
\(359\) 3.05773 + 1.76538i 0.161381 + 0.0931733i 0.578515 0.815671i \(-0.303632\pi\)
−0.417135 + 0.908845i \(0.636966\pi\)
\(360\) 2.86769 0.881106i 0.151141 0.0464384i
\(361\) 10.9104 + 15.5552i 0.574232 + 0.818693i
\(362\) 14.6171i 0.768257i
\(363\) −9.08271 20.8491i −0.476719 1.09430i
\(364\) 3.40387 + 1.96523i 0.178411 + 0.103006i
\(365\) −1.97262 + 1.13889i −0.103251 + 0.0596123i
\(366\) −5.41478 12.4295i −0.283035 0.649700i
\(367\) −1.33512 2.31249i −0.0696925 0.120711i 0.829073 0.559140i \(-0.188868\pi\)
−0.898766 + 0.438429i \(0.855535\pi\)
\(368\) 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 \(-0.965615\pi\)
0.994171 0.107813i \(-0.0343848\pi\)
\(374\) 9.62931 + 16.6785i 0.497920 + 0.862422i
\(375\) 1.58791 0.691758i 0.0819995 0.0357223i
\(376\) 1.60922 0.929084i 0.0829892 0.0479138i
\(377\) −8.73888 5.04540i −0.450075 0.259851i
\(378\) −7.73277 + 6.63237i −0.397731 + 0.341132i
\(379\) 10.8219i 0.555884i −0.960598 0.277942i \(-0.910348\pi\)
0.960598 0.277942i \(-0.0896523\pi\)
\(380\) 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 \(-0.694255\pi\)
0.996246 + 0.0865623i \(0.0275882\pi\)
\(384\) −1.72105 0.194877i −0.0878271 0.00994475i
\(385\) −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 0.667251 0.744833i \(-0.267471\pi\)
0.978670 0.205440i \(-0.0658625\pi\)
\(390\) 3.45027 + 0.390678i 0.174711 + 0.0197827i
\(391\) 26.7623 1.35343
\(392\) −3.15615 −0.159409
\(393\) 1.74254 15.3893i 0.0878997 0.776286i
\(394\) 2.14864 + 1.24052i 0.108247 + 0.0624965i
\(395\) −6.22958 10.7900i −0.313444 0.542902i
\(396\) −3.29505 + 14.3636i −0.165582 + 0.721796i
\(397\) −2.65169 + 4.59286i −0.133085 + 0.230509i −0.924864 0.380298i \(-0.875822\pi\)
0.791780 + 0.610807i \(0.209155\pi\)
\(398\) 23.6124 1.18358
\(399\) −1.01636 + 14.7671i −0.0508815 + 0.739279i
\(400\) −1.00000 −0.0500000
\(401\) −3.00036 + 5.19678i −0.149831 + 0.259515i −0.931165 0.364598i \(-0.881206\pi\)
0.781334 + 0.624113i \(0.214540\pi\)
\(402\) 25.2035 10.9797i 1.25704 0.547615i
\(403\) 0.234142 + 0.405546i 0.0116634 + 0.0202017i
\(404\) −9.94449 5.74146i −0.494757 0.285648i
\(405\) −3.92282 + 8.10009i −0.194926 + 0.402497i
\(406\) −9.86847 −0.489764
\(407\) −35.3400 −1.75174
\(408\) 0.764024 6.74748i 0.0378248 0.334050i
\(409\) −23.6531 + 13.6561i −1.16957 + 0.675253i −0.953579 0.301143i \(-0.902632\pi\)
−0.215993 + 0.976395i \(0.569299\pi\)
\(410\) 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
\(414\) 14.9964 + 13.9454i 0.737032 + 0.685379i
\(415\) 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 \(-0.0406878\pi\)
\(420\) 3.11322 1.35624i 0.151910 0.0661780i
\(421\) 0.601100 + 0.347045i 0.0292958 + 0.0169139i 0.514576 0.857445i \(-0.327949\pi\)
−0.485281 + 0.874358i \(0.661283\pi\)
\(422\) −2.52326 + 1.45680i −0.122830 + 0.0709160i
\(423\) −1.24643 + 5.43337i −0.0606036 + 0.264179i
\(424\) 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 \(-0.0357024\pi\)
−0.593790 + 0.804620i \(0.702369\pi\)
\(432\) 3.94413 3.38287i 0.189762 0.162758i
\(433\) 18.0716 10.4336i 0.868465 0.501409i 0.00162720 0.999999i \(-0.499482\pi\)
0.866838 + 0.498590i \(0.166149\pi\)
\(434\) 0.396610 + 0.228983i 0.0190379 + 0.0109915i
\(435\) −7.99269 + 3.48193i −0.383220 + 0.166946i
\(436\) 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 0.256711 0.966488i \(-0.417361\pi\)
−0.708648 + 0.705562i \(0.750695\pi\)
\(440\) 2.45611 4.25411i 0.117090 0.202807i
\(441\) 6.44782 6.93375i 0.307039 0.330179i
\(442\) 3.92986 6.80671i 0.186924 0.323762i
\(443\) 32.8931 18.9908i 1.56280 0.902281i 0.565825 0.824525i \(-0.308558\pi\)
0.996972 0.0777559i \(-0.0247755\pi\)
\(444\) 10.0219 + 7.40505i 0.475620 + 0.351428i
\(445\) 10.9628i 0.519685i
\(446\) −3.39391 + 1.95947i −0.160706 + 0.0927838i
\(447\) 0.898233 7.93275i 0.0424849 0.375206i
\(448\) −1.96058 −0.0926285
\(449\) 37.0794 1.74989 0.874944 0.484225i \(-0.160898\pi\)
0.874944 + 0.484225i \(0.160898\pi\)
\(450\) 2.04294 2.19691i 0.0963051 0.103563i
\(451\) 50.0494 + 28.8961i 2.35674 + 1.36066i
\(452\) 6.07947 + 10.5300i 0.285954 + 0.495287i
\(453\) −27.5605 + 12.0065i −1.29491 + 0.564112i
\(454\) 0.158042 0.273737i 0.00741729 0.0128471i
\(455\) 3.93045 0.184263
\(456\) 0.518398 7.53202i 0.0242762 0.352719i
\(457\) 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
\(459\) 13.2627 + 15.4632i 0.619051 + 0.721760i
\(460\) −3.41307 5.91161i −0.159135 0.275630i
\(461\) 4.14251 + 2.39168i 0.192936 + 0.111392i 0.593356 0.804940i \(-0.297803\pi\)
−0.400420 + 0.916332i \(0.631136\pi\)
\(462\) −1.87681 + 16.5751i −0.0873172 + 0.771142i
\(463\) −19.1590 −0.890394 −0.445197 0.895433i \(-0.646866\pi\)
−0.445197 + 0.895433i \(0.646866\pi\)
\(464\) 5.03345 0.233672
\(465\) 0.402017 + 0.0455208i 0.0186431 + 0.00211097i
\(466\) 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
\(471\) 2.86968 + 0.324937i 0.132228 + 0.0149723i
\(472\) 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
\(477\) −30.9390 7.09750i −1.41660 0.324972i
\(478\) 2.75990 + 1.59343i 0.126235 + 0.0728817i
\(479\) −22.9732 + 13.2636i −1.04967 + 0.606028i −0.922557 0.385860i \(-0.873905\pi\)
−0.127114 + 0.991888i \(0.540571\pi\)
\(480\) −1.58791 + 0.691758i −0.0724780 + 0.0315743i
\(481\) 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 \(0.0825357\pi\)
−0.966571 + 0.256398i \(0.917464\pi\)
\(488\) 3.91378 + 6.77887i 0.177169 + 0.306865i
\(489\) 5.92104 + 13.5916i 0.267759 + 0.614633i
\(490\) −2.73330 + 1.57807i −0.123478 + 0.0712900i
\(491\) −6.02160 3.47657i −0.271751 0.156896i 0.357932 0.933748i \(-0.383482\pi\)
−0.629683 + 0.776852i \(0.716815\pi\)
\(492\) −8.13852 18.6818i −0.366913 0.842239i
\(493\) 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
\(498\) 2.67197 23.5975i 0.119734 1.05743i
\(499\) −17.0361 + 29.5074i −0.762642 + 1.32093i 0.178843 + 0.983878i \(0.442765\pi\)
−0.941484 + 0.337057i \(0.890569\pi\)
\(500\) −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 \(-0.634032\pi\)
0.586009 + 0.810304i \(0.300698\pi\)
\(504\) 4.00534 4.30720i 0.178412 0.191858i
\(505\) −11.4829 −0.510983
\(506\) 33.5315 1.49066
\(507\) −15.4568 1.75019i −0.686459 0.0777284i
\(508\) −11.2081 6.47100i −0.497279 0.287104i
\(509\) −10.1206 17.5295i −0.448590 0.776980i 0.549705 0.835359i \(-0.314740\pi\)
−0.998294 + 0.0583790i \(0.981407\pi\)
\(510\) −2.71208 6.22550i −0.120093 0.275670i
\(511\) −2.23288 + 3.86746i −0.0987769 + 0.171087i
\(512\) 1.00000 0.0441942
\(513\) 15.4881 + 16.5263i 0.683815 + 0.729655i
\(514\) −23.5470 −1.03861
\(515\) 0.881671 1.52710i 0.0388511 0.0672920i
\(516\) 4.07428 + 9.35241i 0.179360 + 0.411717i
\(517\) 4.56386 + 7.90484i 0.200718 + 0.347655i
\(518\) 12.2153 + 7.05248i 0.536708 + 0.309868i
\(519\) −17.9772 2.03558i −0.789113 0.0893520i
\(520\) −2.00475 −0.0879139
\(521\) −19.3708 −0.848650 −0.424325 0.905510i \(-0.639489\pi\)
−0.424325 + 0.905510i \(0.639489\pi\)
\(522\) −10.2830 + 11.0580i −0.450077 + 0.483997i
\(523\) −35.0535 + 20.2382i −1.53278 + 0.884954i −0.533553 + 0.845767i \(0.679143\pi\)
−0.999232 + 0.0391867i \(0.987523\pi\)
\(524\) 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
\(528\) 0.957276 8.45419i 0.0416601 0.367921i
\(529\) 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
\(534\) −7.58359 17.4079i −0.328174 0.753315i
\(535\) −2.60787 1.50566i −0.112748 0.0650952i
\(536\) −13.7456 + 7.93605i −0.593721 + 0.342785i
\(537\) −0.931590 2.13844i −0.0402011 0.0922806i
\(538\) −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 0.986960 + 0.160964i \(0.0514602\pi\)
−0.354082 + 0.935215i \(0.615206\pi\)
\(542\) 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
\(546\) 6.24122 2.71892i 0.267100 0.116359i
\(547\) 10.3833 5.99478i 0.443956 0.256318i −0.261318 0.965253i \(-0.584157\pi\)
0.705274 + 0.708935i \(0.250824\pi\)
\(548\) 3.55144 + 2.05042i 0.151710 + 0.0875898i
\(549\) −22.8882 5.25062i −0.976843 0.224091i
\(550\) 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
\(555\) 12.3818 + 1.40200i 0.525577 + 0.0595116i
\(556\) 6.74169 11.6770i 0.285911 0.495213i
\(557\) −24.0375 + 13.8780i −1.01850 + 0.588031i −0.913669 0.406459i \(-0.866763\pi\)
−0.104831 + 0.994490i \(0.533430\pi\)
\(558\) 0.669857 0.205815i 0.0283573 0.00871286i
\(559\) 11.8074i 0.499401i
\(560\) −1.69791 + 0.980288i −0.0717497 + 0.0414247i
\(561\) 33.1451 + 3.75305i 1.39939 + 0.158454i
\(562\) 18.7084 0.789164
\(563\) −17.1980 −0.724809 −0.362404 0.932021i \(-0.618044\pi\)
−0.362404 + 0.932021i \(0.618044\pi\)
\(564\) 0.362113 3.19801i 0.0152477 0.134660i
\(565\) 10.5300 + 6.07947i 0.442998 + 0.255765i
\(566\) 10.5801 + 18.3252i 0.444713 + 0.770265i
\(567\) 1.27984 + 17.5987i 0.0537483 + 0.739076i
\(568\) −2.26439 + 3.92204i −0.0950118 + 0.164565i
\(569\) 26.3732 1.10562 0.552812 0.833306i \(-0.313555\pi\)
0.552812 + 0.833306i \(0.313555\pi\)
\(570\) −3.31706 6.78212i −0.138936 0.284072i
\(571\) 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
\(573\) −9.67619 + 4.21534i −0.404229 + 0.176098i
\(574\) −11.5331 19.9758i −0.481380 0.833775i
\(575\) −5.91161 3.41307i −0.246531 0.142335i
\(576\) −2.04294 + 2.19691i −0.0851225 + 0.0915377i
\(577\) 6.44640 0.268367 0.134184 0.990956i \(-0.457159\pi\)
0.134184 + 0.990956i \(0.457159\pi\)
\(578\) 1.62925 0.0677679
\(579\) −0.584810 + 5.16475i −0.0243039 + 0.214640i
\(580\) 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
\(585\) 4.09558 4.40424i 0.169331 0.182093i
\(586\) 6.15600 10.6625i 0.254302 0.440464i
\(587\) 29.3043 + 16.9188i 1.20952 + 0.698315i 0.962654 0.270736i \(-0.0872670\pi\)
0.246863 + 0.969050i \(0.420600\pi\)
\(588\) −3.24860 + 4.39663i −0.133970 + 0.181314i
\(589\) 0.469784 0.903329i 0.0193571 0.0372210i
\(590\) 8.51757i 0.350663i
\(591\) 3.93968 1.71628i 0.162057 0.0705983i
\(592\) −6.23045 3.59715i −0.256070 0.147842i
\(593\) −25.1953 + 14.5465i −1.03465 + 0.597354i −0.918312 0.395856i \(-0.870448\pi\)
−0.116335 + 0.993210i \(0.537114\pi\)
\(594\) 16.6174 + 19.3744i 0.681820 + 0.794943i
\(595\) −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 −0.997270 0.0738365i \(-0.976476\pi\)
0.434691 0.900580i \(-0.356858\pi\)
\(600\) −1.02929 + 1.39304i −0.0420208 + 0.0568705i
\(601\) 14.9379i 0.609330i 0.952460 + 0.304665i \(0.0985445\pi\)
−0.952460 + 0.304665i \(0.901455\pi\)
\(602\) 5.77364 + 10.0002i 0.235316 + 0.407580i
\(603\) 10.6468 46.4107i 0.433570 1.88999i
\(604\) 15.0311 8.67821i 0.611607 0.353111i
\(605\) 11.3708 + 6.56495i 0.462290 + 0.266903i
\(606\) −18.2339 + 7.94340i −0.740701 + 0.322679i
\(607\) 42.6299i 1.73030i 0.501517 + 0.865148i \(0.332775\pi\)
−0.501517 + 0.865148i \(0.667225\pi\)
\(608\) 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
\(612\) −8.61309 8.00946i −0.348163 0.323763i
\(613\) 8.76635 15.1838i 0.354069 0.613266i −0.632889 0.774243i \(-0.718131\pi\)
0.986958 + 0.160976i \(0.0514643\pi\)
\(614\) 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 −0.540008 + 0.841660i \(0.681579\pi\)
−0.998903 + 0.0468313i \(0.985088\pi\)
\(618\) 0.343634 3.03481i 0.0138230 0.122078i
\(619\) −42.3600 −1.70259 −0.851296 0.524685i \(-0.824183\pi\)
−0.851296 + 0.524685i \(0.824183\pi\)
\(620\) −0.233588 −0.00938111
\(621\) 34.8622 6.53660i 1.39897 0.262305i
\(622\) −27.6123 15.9420i −1.10715 0.639214i
\(623\) −10.7467 18.6138i −0.430556 0.745746i
\(624\) −3.18336 + 1.38680i −0.127437 + 0.0555164i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) 14.9516 0.597585
\(627\) 36.9989 + 2.54648i 1.47759 + 0.101697i
\(628\) −1.66740 −0.0665365
\(629\) 14.1028 24.4268i 0.562316 0.973961i
\(630\) 1.31513 5.73281i 0.0523959 0.228401i
\(631\) −17.6187 30.5165i −0.701391 1.21484i −0.967978 0.251033i \(-0.919230\pi\)
0.266588 0.963811i \(-0.414104\pi\)
\(632\) 10.7900 + 6.22958i 0.429201 + 0.247800i
\(633\) −0.567793 + 5.01447i −0.0225678 + 0.199307i
\(634\) 25.5166 1.01339
\(635\) −12.9420 −0.513587
\(636\) 18.2103 + 2.06197i 0.722084 + 0.0817623i
\(637\) −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 \(-0.992068\pi\)
0.521422 + 0.853299i \(0.325402\pi\)
\(642\) −5.18263 0.586834i −0.204542 0.0231605i
\(643\) −8.96485 + 15.5276i −0.353539 + 0.612348i −0.986867 0.161536i \(-0.948355\pi\)
0.633328 + 0.773884i \(0.281689\pi\)
\(644\) −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 \(0.896663\pi\)
\(648\) −0.652788 8.97629i −0.0256439 0.352622i
\(649\) 36.2346 + 20.9201i 1.42233 + 0.821185i
\(650\) −1.73616 + 1.00237i −0.0680978 + 0.0393163i
\(651\) 0.727211 0.316802i 0.0285016 0.0124164i
\(652\) −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 −0.982272 0.187459i \(-0.939975\pi\)
0.328792 0.944402i \(-0.393358\pi\)
\(660\) −3.39807 7.80018i −0.132270 0.303622i
\(661\) 13.8780 8.01246i 0.539791 0.311649i −0.205203 0.978719i \(-0.565785\pi\)
0.744994 + 0.667071i \(0.232452\pi\)
\(662\) 20.4616 + 11.8135i 0.795262 + 0.459145i
\(663\) −5.43702 12.4805i −0.211156 0.484704i
\(664\) 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
\(669\) −0.763711 + 6.74472i −0.0295268 + 0.260766i
\(670\) −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 \(-0.788670\pi\)
0.787586 0.616204i \(-0.211330\pi\)
\(674\) 1.65491 0.955464i 0.0637449 0.0368031i
\(675\) −0.957584 5.10716i −0.0368574 0.196574i
\(676\) 8.98100 0.345423
\(677\) 25.2864 0.971835 0.485918 0.874005i \(-0.338486\pi\)
0.485918 + 0.874005i \(0.338486\pi\)
\(678\) 20.9262 + 2.36949i 0.803665 + 0.0909998i
\(679\) 26.1067 + 15.0727i 1.00188 + 0.578437i
\(680\) 1.96028 + 3.39530i 0.0751732 + 0.130204i
\(681\) −0.218654 0.501915i −0.00837884 0.0192334i
\(682\) 0.573717 0.993707i 0.0219688 0.0380510i
\(683\) −8.39063 −0.321059 −0.160529 0.987031i \(-0.551320\pi\)
−0.160529 + 0.987031i \(0.551320\pi\)
\(684\) −9.95880 8.47481i −0.380784 0.324042i
\(685\) 4.10085 0.156685
\(686\) −9.95594 + 17.2442i −0.380120 + 0.658387i
\(687\) 4.24283 + 9.73931i 0.161874 + 0.371578i
\(688\) −2.94487 5.10067i −0.112272 0.194461i
\(689\) 18.3701 + 10.6060i 0.699846 + 0.404056i
\(690\) −11.7481 1.33025i −0.447244 0.0506419i
\(691\) −10.0647 −0.382881 −0.191440 0.981504i \(-0.561316\pi\)
−0.191440 + 0.981504i \(0.561316\pi\)
\(692\) 10.4455 0.397078
\(693\) 21.1579 + 19.6751i 0.803722 + 0.747395i
\(694\) −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
\(699\) 2.10989 18.6335i 0.0798035 0.704785i
\(700\) −0.980288 + 1.69791i −0.0370514 + 0.0641749i
\(701\) 29.1351 + 16.8212i 1.10042 + 0.635327i 0.936331 0.351119i \(-0.114199\pi\)
0.164087 + 0.986446i \(0.447532\pi\)
\(702\) 3.45675 9.82670i 0.130467 0.370885i
\(703\) 14.4690 27.8218i 0.545707 1.04932i
\(704\) 4.91222i 0.185136i
\(705\) −1.28540 2.95061i −0.0484111 0.111126i
\(706\) 2.12758 + 1.22836i 0.0800724 + 0.0462298i
\(707\) −19.4969 + 11.2566i −0.733257 + 0.423346i
\(708\) −5.89210 13.5252i −0.221439 0.508307i
\(709\) 22.1508 + 38.3664i 0.831892 + 1.44088i 0.896536 + 0.442971i \(0.146076\pi\)
−0.0646434 + 0.997908i \(0.520591\pi\)
\(710\) 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
\(717\) 5.06045 2.20454i 0.188986 0.0823299i
\(718\) −3.05773 + 1.76538i −0.114113 + 0.0658834i
\(719\) −12.8018 7.39114i −0.477428 0.275643i 0.241916 0.970297i \(-0.422224\pi\)
−0.719344 + 0.694654i \(0.755557\pi\)
\(720\) −0.670786 + 2.92405i −0.0249987 + 0.108973i
\(721\) 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
\(726\) 22.5972 + 2.55871i 0.838662 + 0.0949625i
\(727\) 2.63804 4.56923i 0.0978397 0.169463i −0.812951 0.582333i \(-0.802140\pi\)
0.910790 + 0.412869i \(0.135473\pi\)
\(728\) −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
\(732\) 13.4716 + 1.52541i 0.497926 + 0.0563807i
\(733\) −12.3735 −0.457025 −0.228513 0.973541i \(-0.573386\pi\)
−0.228513 + 0.973541i \(0.573386\pi\)
\(734\) 2.67023 0.0985601
\(735\) −0.615059 + 5.43189i −0.0226868 + 0.200358i
\(736\) 5.91161 + 3.41307i 0.217905 + 0.125807i
\(737\) −38.9836 67.5216i −1.43598 2.48719i
\(738\) −34.4013 7.89177i −1.26633 0.290500i
\(739\) 23.4208 40.5660i 0.861548 1.49224i −0.00888687 0.999961i \(-0.502829\pi\)
0.870435 0.492284i \(-0.163838\pi\)
\(740\) −7.19430 −0.264468
\(741\) −6.64987 13.5964i −0.244289 0.499477i
\(742\) 20.7446 0.761559
\(743\) 3.70160 6.41135i 0.135798 0.235210i −0.790104 0.612973i \(-0.789973\pi\)
0.925902 + 0.377763i \(0.123307\pi\)
\(744\) −0.370917 + 0.161586i −0.0135985 + 0.00592404i
\(745\) 2.30462 + 3.99172i 0.0844347 + 0.146245i
\(746\) 3.60651 + 2.08222i 0.132044 + 0.0762354i
\(747\) −30.1220 28.0109i −1.10211 1.02487i
\(748\) −19.2586 −0.704165
\(749\) −5.90391 −0.215724
\(750\) −0.194877 + 1.72105i −0.00711588 + 0.0628440i
\(751\) −36.7844 + 21.2375i −1.34228 + 0.774966i −0.987142 0.159848i \(-0.948900\pi\)
−0.355139 + 0.934814i \(0.615566\pi\)
\(752\) 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
\(756\) −1.87742 10.0130i −0.0682809 0.364168i
\(757\) 24.8985 43.1254i 0.904950 1.56742i 0.0839656 0.996469i \(-0.473241\pi\)
0.820984 0.570951i \(-0.193425\pi\)
\(758\) 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 \(0.802497\pi\)
\(762\) −20.5508 + 8.95273i −0.744476 + 0.324323i
\(763\) −17.7618 10.2548i −0.643022 0.371249i
\(764\) 5.27726 3.04683i 0.190924 0.110230i
\(765\) −11.4639 2.62985i −0.414478 0.0950825i
\(766\) 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 −0.959700 0.281026i \(-0.909325\pi\)
0.236475 0.971638i \(-0.424008\pi\)
\(770\) −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 \(-0.213528\pi\)
−0.930002 + 0.367555i \(0.880195\pi\)
\(774\) 17.2219 + 3.95076i 0.619028 + 0.142007i
\(775\) −0.202293 + 0.116794i −0.00726657 + 0.00419536i