Properties

Label 483.2.bf.a.61.32
Level $483$
Weight $2$
Character 483.61
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 61.32
Character \(\chi\) \(=\) 483.61
Dual form 483.2.bf.a.388.32

$q$-expansion

\(f(q)\) \(=\) \(q+(2.13148 + 1.67621i) q^{2} +(-0.814576 - 0.580057i) q^{3} +(1.26199 + 5.20201i) q^{4} +(-1.64165 + 0.316402i) q^{5} +(-0.763952 - 2.60178i) q^{6} +(-2.28532 + 1.33315i) q^{7} +(-3.77686 + 8.27018i) q^{8} +(0.327068 + 0.945001i) q^{9} +O(q^{10})\) \(q+(2.13148 + 1.67621i) q^{2} +(-0.814576 - 0.580057i) q^{3} +(1.26199 + 5.20201i) q^{4} +(-1.64165 + 0.316402i) q^{5} +(-0.763952 - 2.60178i) q^{6} +(-2.28532 + 1.33315i) q^{7} +(-3.77686 + 8.27018i) q^{8} +(0.327068 + 0.945001i) q^{9} +(-4.02950 - 2.07735i) q^{10} +(0.286626 + 0.364475i) q^{11} +(1.98947 - 4.96946i) q^{12} +(-0.227186 - 0.353508i) q^{13} +(-7.10577 - 0.989099i) q^{14} +(1.52078 + 0.694517i) q^{15} +(-12.3972 + 6.39120i) q^{16} +(1.66390 + 1.58653i) q^{17} +(-0.886885 + 2.56249i) q^{18} +(4.43786 - 4.23149i) q^{19} +(-3.71768 - 8.14057i) q^{20} +(2.63487 + 0.239662i) q^{21} +1.25732i q^{22} +(3.01670 + 3.72821i) q^{23} +(7.87372 - 4.54589i) q^{24} +(-2.04694 + 0.819469i) q^{25} +(0.108313 - 1.13431i) q^{26} +(0.281733 - 0.959493i) q^{27} +(-9.81914 - 10.2058i) q^{28} +(0.712132 - 0.209101i) q^{29} +(2.07735 + 4.02950i) q^{30} +(0.953666 + 9.98725i) q^{31} +(-19.2824 - 3.71639i) q^{32} +(-0.0220627 - 0.463152i) q^{33} +(0.887214 + 6.17071i) q^{34} +(3.32989 - 2.91165i) q^{35} +(-4.50314 + 2.89399i) q^{36} +(4.98783 - 1.72631i) q^{37} +(16.5521 - 1.58053i) q^{38} +(-0.0199947 + 0.419739i) q^{39} +(3.58359 - 14.7717i) q^{40} +(1.07294 - 0.929711i) q^{41} +(5.21445 + 4.92745i) q^{42} +(2.83171 - 1.29320i) q^{43} +(-1.53428 + 1.95100i) q^{44} +(-0.835931 - 1.44788i) q^{45} +(0.180756 + 13.0032i) q^{46} +(-4.22475 - 2.43916i) q^{47} +(13.8057 + 1.98496i) q^{48} +(3.44540 - 6.09337i) q^{49} +(-5.73661 - 1.68442i) q^{50} +(-0.435099 - 2.25751i) q^{51} +(1.55224 - 1.62794i) q^{52} +(12.5638 + 0.598488i) q^{53} +(2.20882 - 1.57290i) q^{54} +(-0.585861 - 0.507651i) q^{55} +(-2.39407 - 23.9352i) q^{56} +(-6.06948 + 0.872660i) q^{57} +(1.86839 + 0.747992i) q^{58} +(-0.205493 + 0.398600i) q^{59} +(-1.69367 + 8.78758i) q^{60} +(-6.04643 - 8.49102i) q^{61} +(-14.7080 + 22.8862i) q^{62} +(-2.00729 - 1.72360i) q^{63} +(-16.6031 - 19.1610i) q^{64} +(0.484810 + 0.508454i) q^{65} +(0.729316 - 1.02418i) q^{66} +(-4.48124 - 11.1936i) q^{67} +(-6.15329 + 10.6578i) q^{68} +(-0.294757 - 4.78676i) q^{69} +(11.9781 - 0.624525i) q^{70} +(-1.93433 + 13.4536i) q^{71} +(-9.05062 - 0.864229i) q^{72} +(6.84829 - 1.66138i) q^{73} +(13.5251 + 4.68109i) q^{74} +(2.14272 + 0.519819i) q^{75} +(27.6128 + 17.7457i) q^{76} +(-1.14094 - 0.450826i) q^{77} +(-0.746191 + 0.861150i) q^{78} +(8.01892 - 0.381988i) q^{79} +(18.3297 - 14.4146i) q^{80} +(-0.786053 + 0.618159i) q^{81} +(3.84535 - 0.183177i) q^{82} +(-5.85658 + 6.75886i) q^{83} +(2.07847 + 14.0091i) q^{84} +(-3.23353 - 2.07806i) q^{85} +(8.20340 + 1.99012i) q^{86} +(-0.701376 - 0.242749i) q^{87} +(-4.09682 + 0.993879i) q^{88} +(12.1691 + 1.16201i) q^{89} +(0.645179 - 4.48732i) q^{90} +(0.990473 + 0.505006i) q^{91} +(-15.5871 + 20.3979i) q^{92} +(5.01634 - 8.68855i) q^{93} +(-4.91642 - 12.2806i) q^{94} +(-5.94657 + 8.35078i) q^{95} +(13.5513 + 14.2122i) q^{96} +(-8.83547 - 10.1967i) q^{97} +(17.5576 - 7.21267i) q^{98} +(-0.250683 + 0.390070i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{17}{22}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.13148 + 1.67621i 1.50718 + 1.18526i 0.929401 + 0.369071i \(0.120324\pi\)
0.577782 + 0.816191i \(0.303918\pi\)
\(3\) −0.814576 0.580057i −0.470296 0.334896i
\(4\) 1.26199 + 5.20201i 0.630996 + 2.60100i
\(5\) −1.64165 + 0.316402i −0.734168 + 0.141499i −0.542613 0.839983i \(-0.682565\pi\)
−0.191555 + 0.981482i \(0.561353\pi\)
\(6\) −0.763952 2.60178i −0.311882 1.06217i
\(7\) −2.28532 + 1.33315i −0.863771 + 0.503885i
\(8\) −3.77686 + 8.27018i −1.33532 + 2.92395i
\(9\) 0.327068 + 0.945001i 0.109023 + 0.315000i
\(10\) −4.02950 2.07735i −1.27424 0.656916i
\(11\) 0.286626 + 0.364475i 0.0864211 + 0.109893i 0.827341 0.561700i \(-0.189853\pi\)
−0.740920 + 0.671594i \(0.765610\pi\)
\(12\) 1.98947 4.96946i 0.574311 1.43456i
\(13\) −0.227186 0.353508i −0.0630099 0.0980454i 0.808319 0.588745i \(-0.200378\pi\)
−0.871329 + 0.490699i \(0.836741\pi\)
\(14\) −7.10577 0.989099i −1.89910 0.264348i
\(15\) 1.52078 + 0.694517i 0.392664 + 0.179323i
\(16\) −12.3972 + 6.39120i −3.09930 + 1.59780i
\(17\) 1.66390 + 1.58653i 0.403556 + 0.384790i 0.864494 0.502642i \(-0.167639\pi\)
−0.460939 + 0.887432i \(0.652487\pi\)
\(18\) −0.886885 + 2.56249i −0.209041 + 0.603984i
\(19\) 4.43786 4.23149i 1.01812 0.970771i 0.0185380 0.999828i \(-0.494099\pi\)
0.999578 + 0.0290567i \(0.00925035\pi\)
\(20\) −3.71768 8.14057i −0.831298 1.82029i
\(21\) 2.63487 + 0.239662i 0.574977 + 0.0522985i
\(22\) 1.25732i 0.268061i
\(23\) 3.01670 + 3.72821i 0.629025 + 0.777385i
\(24\) 7.87372 4.54589i 1.60722 0.927926i
\(25\) −2.04694 + 0.819469i −0.409387 + 0.163894i
\(26\) 0.108313 1.13431i 0.0212419 0.222456i
\(27\) 0.281733 0.959493i 0.0542195 0.184655i
\(28\) −9.81914 10.2058i −1.85564 1.92872i
\(29\) 0.712132 0.209101i 0.132240 0.0388291i −0.214943 0.976627i \(-0.568957\pi\)
0.347183 + 0.937798i \(0.387138\pi\)
\(30\) 2.07735 + 4.02950i 0.379271 + 0.735683i
\(31\) 0.953666 + 9.98725i 0.171284 + 1.79376i 0.517577 + 0.855636i \(0.326834\pi\)
−0.346294 + 0.938126i \(0.612560\pi\)
\(32\) −19.2824 3.71639i −3.40869 0.656970i
\(33\) −0.0220627 0.463152i −0.00384062 0.0806245i
\(34\) 0.887214 + 6.17071i 0.152156 + 1.05827i
\(35\) 3.32989 2.91165i 0.562854 0.492159i
\(36\) −4.50314 + 2.89399i −0.750524 + 0.482332i
\(37\) 4.98783 1.72631i 0.819994 0.283803i 0.115315 0.993329i \(-0.463212\pi\)
0.704679 + 0.709526i \(0.251091\pi\)
\(38\) 16.5521 1.58053i 2.68511 0.256396i
\(39\) −0.0199947 + 0.419739i −0.00320171 + 0.0672121i
\(40\) 3.58359 14.7717i 0.566615 2.33562i
\(41\) 1.07294 0.929711i 0.167566 0.145196i −0.567041 0.823689i \(-0.691912\pi\)
0.734607 + 0.678493i \(0.237367\pi\)
\(42\) 5.21445 + 4.92745i 0.804608 + 0.760322i
\(43\) 2.83171 1.29320i 0.431832 0.197211i −0.187627 0.982240i \(-0.560080\pi\)
0.619458 + 0.785030i \(0.287352\pi\)
\(44\) −1.53428 + 1.95100i −0.231302 + 0.294124i
\(45\) −0.835931 1.44788i −0.124613 0.215837i
\(46\) 0.180756 + 13.0032i 0.0266510 + 1.91722i
\(47\) −4.22475 2.43916i −0.616244 0.355789i 0.159161 0.987253i \(-0.449121\pi\)
−0.775405 + 0.631464i \(0.782454\pi\)
\(48\) 13.8057 + 1.98496i 1.99269 + 0.286505i
\(49\) 3.44540 6.09337i 0.492200 0.870482i
\(50\) −5.73661 1.68442i −0.811279 0.238213i
\(51\) −0.435099 2.25751i −0.0609260 0.316114i
\(52\) 1.55224 1.62794i 0.215257 0.225755i
\(53\) 12.5638 + 0.598488i 1.72577 + 0.0822086i 0.886854 0.462050i \(-0.152886\pi\)
0.838917 + 0.544259i \(0.183189\pi\)
\(54\) 2.20882 1.57290i 0.300583 0.214044i
\(55\) −0.585861 0.507651i −0.0789975 0.0684517i
\(56\) −2.39407 23.9352i −0.319921 3.19847i
\(57\) −6.06948 + 0.872660i −0.803923 + 0.115587i
\(58\) 1.86839 + 0.747992i 0.245332 + 0.0982161i
\(59\) −0.205493 + 0.398600i −0.0267529 + 0.0518933i −0.901833 0.432085i \(-0.857778\pi\)
0.875080 + 0.483978i \(0.160808\pi\)
\(60\) −1.69367 + 8.78758i −0.218652 + 1.13447i
\(61\) −6.04643 8.49102i −0.774166 1.08716i −0.993756 0.111571i \(-0.964412\pi\)
0.219591 0.975592i \(-0.429528\pi\)
\(62\) −14.7080 + 22.8862i −1.86792 + 2.90654i
\(63\) −2.00729 1.72360i −0.252894 0.217153i
\(64\) −16.6031 19.1610i −2.07538 2.39512i
\(65\) 0.484810 + 0.508454i 0.0601333 + 0.0630659i
\(66\) 0.729316 1.02418i 0.0897726 0.126068i
\(67\) −4.48124 11.1936i −0.547470 1.36751i −0.901703 0.432357i \(-0.857682\pi\)
0.354233 0.935157i \(-0.384742\pi\)
\(68\) −6.15329 + 10.6578i −0.746197 + 1.29245i
\(69\) −0.294757 4.78676i −0.0354846 0.576259i
\(70\) 11.9781 0.624525i 1.43166 0.0746451i
\(71\) −1.93433 + 13.4536i −0.229563 + 1.59665i 0.470392 + 0.882458i \(0.344113\pi\)
−0.699955 + 0.714187i \(0.746796\pi\)
\(72\) −9.05062 0.864229i −1.06663 0.101850i
\(73\) 6.84829 1.66138i 0.801532 0.194449i 0.185988 0.982552i \(-0.440452\pi\)
0.615544 + 0.788103i \(0.288936\pi\)
\(74\) 13.5251 + 4.68109i 1.57226 + 0.544165i
\(75\) 2.14272 + 0.519819i 0.247420 + 0.0600235i
\(76\) 27.6128 + 17.7457i 3.16741 + 2.03557i
\(77\) −1.14094 0.450826i −0.130022 0.0513764i
\(78\) −0.746191 + 0.861150i −0.0844895 + 0.0975061i
\(79\) 8.01892 0.381988i 0.902198 0.0429770i 0.408646 0.912693i \(-0.366001\pi\)
0.493553 + 0.869716i \(0.335698\pi\)
\(80\) 18.3297 14.4146i 2.04932 1.61160i
\(81\) −0.786053 + 0.618159i −0.0873392 + 0.0686843i
\(82\) 3.84535 0.183177i 0.424648 0.0202285i
\(83\) −5.85658 + 6.75886i −0.642844 + 0.741881i −0.979875 0.199612i \(-0.936032\pi\)
0.337031 + 0.941493i \(0.390577\pi\)
\(84\) 2.07847 + 14.0091i 0.226780 + 1.52852i
\(85\) −3.23353 2.07806i −0.350725 0.225397i
\(86\) 8.20340 + 1.99012i 0.884596 + 0.214601i
\(87\) −0.701376 0.242749i −0.0751954 0.0260254i
\(88\) −4.09682 + 0.993879i −0.436723 + 0.105948i
\(89\) 12.1691 + 1.16201i 1.28993 + 0.123173i 0.717370 0.696692i \(-0.245346\pi\)
0.572557 + 0.819865i \(0.305952\pi\)
\(90\) 0.645179 4.48732i 0.0680078 0.473005i
\(91\) 0.990473 + 0.505006i 0.103830 + 0.0529390i
\(92\) −15.5871 + 20.3979i −1.62507 + 2.12662i
\(93\) 5.01634 8.68855i 0.520170 0.900961i
\(94\) −4.91642 12.2806i −0.507090 1.26665i
\(95\) −5.94657 + 8.35078i −0.610105 + 0.856772i
\(96\) 13.5513 + 14.2122i 1.38307 + 1.45053i
\(97\) −8.83547 10.1967i −0.897106 1.03532i −0.999178 0.0405387i \(-0.987093\pi\)
0.102072 0.994777i \(-0.467453\pi\)
\(98\) 17.5576 7.21267i 1.77359 0.728590i
\(99\) −0.250683 + 0.390070i −0.0251946 + 0.0392035i
\(100\) −6.84610 9.61400i −0.684610 0.961400i
\(101\) −1.81920 + 9.43892i −0.181017 + 0.939207i 0.771846 + 0.635809i \(0.219333\pi\)
−0.952864 + 0.303398i \(0.901879\pi\)
\(102\) 2.85666 5.54114i 0.282851 0.548655i
\(103\) −12.3201 4.93222i −1.21393 0.485986i −0.325743 0.945458i \(-0.605614\pi\)
−0.888192 + 0.459472i \(0.848039\pi\)
\(104\) 3.78162 0.543715i 0.370818 0.0533156i
\(105\) −4.40137 + 0.440239i −0.429530 + 0.0429629i
\(106\) 25.7763 + 22.3353i 2.50361 + 2.16939i
\(107\) −1.16000 + 0.826029i −0.112141 + 0.0798552i −0.634752 0.772716i \(-0.718898\pi\)
0.522611 + 0.852571i \(0.324958\pi\)
\(108\) 5.34683 + 0.254701i 0.514499 + 0.0245086i
\(109\) −4.04842 + 4.24586i −0.387768 + 0.406680i −0.888466 0.458942i \(-0.848228\pi\)
0.500698 + 0.865622i \(0.333077\pi\)
\(110\) −0.397818 2.06408i −0.0379305 0.196802i
\(111\) −5.06432 1.48702i −0.480684 0.141142i
\(112\) 19.8112 31.1334i 1.87198 2.94183i
\(113\) −8.46301 1.21680i −0.796133 0.114467i −0.267767 0.963484i \(-0.586286\pi\)
−0.528365 + 0.849017i \(0.677195\pi\)
\(114\) −14.3997 8.31370i −1.34866 0.778649i
\(115\) −6.13197 5.16592i −0.571810 0.481725i
\(116\) 1.98645 + 3.44063i 0.184437 + 0.319455i
\(117\) 0.259760 0.330312i 0.0240148 0.0305373i
\(118\) −1.10614 + 0.505158i −0.101829 + 0.0465036i
\(119\) −5.91764 1.40749i −0.542469 0.129024i
\(120\) −11.4876 + 9.95403i −1.04867 + 0.908674i
\(121\) 2.54266 10.4810i 0.231151 0.952817i
\(122\) 1.34493 28.2335i 0.121764 2.55614i
\(123\) −1.41328 + 0.134952i −0.127431 + 0.0121682i
\(124\) −50.7502 + 17.5648i −4.55750 + 1.57737i
\(125\) 10.1334 6.51232i 0.906356 0.582480i
\(126\) −1.38937 7.03846i −0.123775 0.627036i
\(127\) −2.29832 15.9852i −0.203943 1.41845i −0.792438 0.609953i \(-0.791188\pi\)
0.588495 0.808501i \(-0.299721\pi\)
\(128\) −1.40246 29.4413i −0.123961 2.60227i
\(129\) −3.05677 0.589144i −0.269134 0.0518713i
\(130\) 0.181085 + 1.89640i 0.0158822 + 0.166326i
\(131\) 0.309529 + 0.600402i 0.0270436 + 0.0524573i 0.901970 0.431798i \(-0.142121\pi\)
−0.874927 + 0.484256i \(0.839090\pi\)
\(132\) 2.38148 0.699265i 0.207281 0.0608632i
\(133\) −4.50072 + 15.5867i −0.390262 + 1.35154i
\(134\) 9.21118 31.3704i 0.795725 2.70999i
\(135\) −0.158921 + 1.66429i −0.0136777 + 0.143239i
\(136\) −19.4052 + 7.76867i −1.66398 + 0.666158i
\(137\) −3.28866 + 1.89871i −0.280969 + 0.162218i −0.633862 0.773446i \(-0.718531\pi\)
0.352893 + 0.935664i \(0.385198\pi\)
\(138\) 7.39537 10.6970i 0.629536 0.910586i
\(139\) 18.4856i 1.56793i 0.620807 + 0.783963i \(0.286805\pi\)
−0.620807 + 0.783963i \(0.713195\pi\)
\(140\) 19.3487 + 13.6476i 1.63527 + 1.15343i
\(141\) 2.02653 + 4.43748i 0.170665 + 0.373703i
\(142\) −26.6740 + 25.4337i −2.23844 + 2.13434i
\(143\) 0.0637274 0.184128i 0.00532915 0.0153976i
\(144\) −10.0944 9.62501i −0.841202 0.802084i
\(145\) −1.10291 + 0.568591i −0.0915919 + 0.0472189i
\(146\) 17.3818 + 7.93801i 1.43853 + 0.656954i
\(147\) −6.34104 + 2.96499i −0.523001 + 0.244548i
\(148\) 15.2749 + 23.7681i 1.25559 + 1.95373i
\(149\) 6.08801 15.2071i 0.498749 1.24582i −0.438995 0.898490i \(-0.644665\pi\)
0.937744 0.347326i \(-0.112910\pi\)
\(150\) 3.69584 + 4.69965i 0.301764 + 0.383724i
\(151\) 20.9421 + 10.7964i 1.70424 + 0.878597i 0.982460 + 0.186476i \(0.0597066\pi\)
0.721781 + 0.692121i \(0.243324\pi\)
\(152\) 18.2340 + 52.6837i 1.47897 + 4.27321i
\(153\) −0.955061 + 2.09129i −0.0772121 + 0.169071i
\(154\) −1.67620 2.87338i −0.135072 0.231543i
\(155\) −4.72557 16.0938i −0.379567 1.29269i
\(156\) −2.20872 + 0.425696i −0.176839 + 0.0340829i
\(157\) 2.76790 + 11.4094i 0.220902 + 0.910571i 0.969015 + 0.247000i \(0.0794448\pi\)
−0.748113 + 0.663571i \(0.769040\pi\)
\(158\) 17.7324 + 12.6272i 1.41072 + 1.00457i
\(159\) −9.88701 7.77523i −0.784091 0.616616i
\(160\) 32.8309 2.59551
\(161\) −11.8644 4.49843i −0.935046 0.354526i
\(162\) −2.71162 −0.213045
\(163\) −10.8574 8.53834i −0.850416 0.668775i 0.0947012 0.995506i \(-0.469810\pi\)
−0.945117 + 0.326731i \(0.894053\pi\)
\(164\) 6.19041 + 4.40817i 0.483390 + 0.344220i
\(165\) 0.182762 + 0.753353i 0.0142280 + 0.0586485i
\(166\) −23.8125 + 4.58948i −1.84821 + 0.356213i
\(167\) 1.68978 + 5.75486i 0.130759 + 0.445324i 0.998679 0.0513794i \(-0.0163618\pi\)
−0.867920 + 0.496704i \(0.834544\pi\)
\(168\) −11.9336 + 20.8857i −0.920698 + 1.61137i
\(169\) 5.32704 11.6646i 0.409772 0.897276i
\(170\) −3.40892 9.84943i −0.261452 0.755416i
\(171\) 5.45025 + 2.80980i 0.416791 + 0.214871i
\(172\) 10.3008 + 13.0986i 0.785430 + 0.998756i
\(173\) −5.22995 + 13.0638i −0.397626 + 0.993221i 0.585562 + 0.810627i \(0.300874\pi\)
−0.983188 + 0.182594i \(0.941551\pi\)
\(174\) −1.08807 1.69307i −0.0824864 0.128351i
\(175\) 3.58543 4.60163i 0.271033 0.347851i
\(176\) −5.88280 2.68659i −0.443433 0.202509i
\(177\) 0.398600 0.205493i 0.0299606 0.0154458i
\(178\) 23.9905 + 22.8749i 1.79816 + 1.71455i
\(179\) −3.62146 + 10.4635i −0.270681 + 0.782081i 0.724958 + 0.688793i \(0.241859\pi\)
−0.995639 + 0.0932882i \(0.970262\pi\)
\(180\) 6.47692 6.17573i 0.482761 0.460312i
\(181\) −2.96559 6.49373i −0.220430 0.482675i 0.766818 0.641865i \(-0.221839\pi\)
−0.987248 + 0.159190i \(0.949112\pi\)
\(182\) 1.26467 + 2.73665i 0.0937439 + 0.202854i
\(183\) 10.4239i 0.770553i
\(184\) −42.2266 + 10.8677i −3.11299 + 0.801177i
\(185\) −7.64207 + 4.41215i −0.561856 + 0.324388i
\(186\) 25.2561 10.1110i 1.85187 0.741375i
\(187\) −0.101332 + 1.06119i −0.00741010 + 0.0776020i
\(188\) 7.35693 25.0554i 0.536559 1.82735i
\(189\) 0.635302 + 2.56834i 0.0462114 + 0.186820i
\(190\) −26.6727 + 7.83180i −1.93504 + 0.568179i
\(191\) 1.60783 + 3.11875i 0.116338 + 0.225665i 0.939814 0.341687i \(-0.110998\pi\)
−0.823476 + 0.567352i \(0.807968\pi\)
\(192\) 2.41001 + 25.2388i 0.173928 + 1.82145i
\(193\) −26.1727 5.04438i −1.88395 0.363102i −0.888543 0.458793i \(-0.848282\pi\)
−0.995411 + 0.0956910i \(0.969494\pi\)
\(194\) −1.74081 36.5441i −0.124983 2.62372i
\(195\) −0.0999822 0.695392i −0.00715987 0.0497980i
\(196\) 36.0458 + 10.2332i 2.57470 + 0.730943i
\(197\) 20.7619 13.3429i 1.47923 0.950641i 0.482002 0.876170i \(-0.339910\pi\)
0.997223 0.0744706i \(-0.0237267\pi\)
\(198\) −1.18817 + 0.411229i −0.0844393 + 0.0292247i
\(199\) −14.2203 + 1.35788i −1.00805 + 0.0962574i −0.585998 0.810312i \(-0.699297\pi\)
−0.422056 + 0.906570i \(0.638691\pi\)
\(200\) 0.953839 20.0235i 0.0674466 1.41588i
\(201\) −2.84261 + 11.7174i −0.200502 + 0.826481i
\(202\) −19.6992 + 17.0695i −1.38603 + 1.20100i
\(203\) −1.34869 + 1.42725i −0.0946594 + 0.100173i
\(204\) 11.1945 5.11234i 0.783769 0.357935i
\(205\) −1.46724 + 1.86574i −0.102476 + 0.130309i
\(206\) −17.9926 31.1640i −1.25360 2.17130i
\(207\) −2.53649 + 4.07016i −0.176299 + 0.282896i
\(208\) 5.07581 + 2.93052i 0.351944 + 0.203195i
\(209\) 2.81428 + 0.404633i 0.194668 + 0.0279890i
\(210\) −10.1194 6.43928i −0.698302 0.444352i
\(211\) 19.9617 + 5.86129i 1.37422 + 0.403508i 0.883754 0.467952i \(-0.155008\pi\)
0.490467 + 0.871460i \(0.336826\pi\)
\(212\) 12.7421 + 66.1123i 0.875131 + 4.54061i
\(213\) 9.37950 9.83693i 0.642673 0.674016i
\(214\) −3.85711 0.183737i −0.263666 0.0125600i
\(215\) −4.23950 + 3.01894i −0.289132 + 0.205890i
\(216\) 6.87111 + 5.95385i 0.467520 + 0.405108i
\(217\) −15.4940 21.5527i −1.05180 1.46309i
\(218\) −15.7461 + 2.26395i −1.06646 + 0.153334i
\(219\) −6.54215 2.61908i −0.442077 0.176981i
\(220\) 1.90145 3.68830i 0.128196 0.248665i
\(221\) 0.182835 0.948639i 0.0122988 0.0638123i
\(222\) −8.30194 11.6584i −0.557189 0.782463i
\(223\) 5.75735 8.95862i 0.385541 0.599913i −0.593190 0.805063i \(-0.702132\pi\)
0.978731 + 0.205149i \(0.0657680\pi\)
\(224\) 49.0211 17.2133i 3.27536 1.15011i
\(225\) −1.44389 1.66633i −0.0962591 0.111089i
\(226\) −15.9991 16.7794i −1.06424 1.11615i
\(227\) −9.33172 + 13.1046i −0.619368 + 0.869781i −0.998454 0.0555807i \(-0.982299\pi\)
0.379086 + 0.925361i \(0.376238\pi\)
\(228\) −12.1992 30.4722i −0.807914 2.01807i
\(229\) 6.00758 10.4054i 0.396992 0.687611i −0.596361 0.802716i \(-0.703387\pi\)
0.993353 + 0.115105i \(0.0367206\pi\)
\(230\) −4.41099 21.2896i −0.290852 1.40379i
\(231\) 0.667874 + 1.02904i 0.0439429 + 0.0677058i
\(232\) −0.960325 + 6.67921i −0.0630484 + 0.438511i
\(233\) 3.13606 + 0.299458i 0.205450 + 0.0196181i 0.197274 0.980348i \(-0.436791\pi\)
0.00817652 + 0.999967i \(0.497397\pi\)
\(234\) 1.10735 0.268639i 0.0723895 0.0175615i
\(235\) 7.70732 + 2.66753i 0.502770 + 0.174011i
\(236\) −2.33285 0.565943i −0.151856 0.0368398i
\(237\) −6.75359 4.34027i −0.438693 0.281931i
\(238\) −10.2541 12.9193i −0.664673 0.837432i
\(239\) 5.87843 6.78407i 0.380244 0.438825i −0.533076 0.846067i \(-0.678964\pi\)
0.913320 + 0.407242i \(0.133510\pi\)
\(240\) −23.2922 + 1.10955i −1.50351 + 0.0716208i
\(241\) 9.08042 7.14092i 0.584921 0.459987i −0.281319 0.959614i \(-0.590772\pi\)
0.866241 + 0.499627i \(0.166530\pi\)
\(242\) 22.9880 18.0780i 1.47773 1.16210i
\(243\) 0.998867 0.0475819i 0.0640774 0.00305238i
\(244\) 36.5398 42.1691i 2.33922 2.69960i
\(245\) −3.72818 + 11.0933i −0.238185 + 0.708726i
\(246\) −3.23858 2.08131i −0.206485 0.132700i
\(247\) −2.50408 0.607484i −0.159331 0.0386533i
\(248\) −86.1982 29.8335i −5.47359 1.89443i
\(249\) 8.69116 2.10845i 0.550780 0.133618i
\(250\) 32.5151 + 3.10482i 2.05644 + 0.196366i
\(251\) 1.63896 11.3992i 0.103450 0.719510i −0.870405 0.492337i \(-0.836143\pi\)
0.973854 0.227173i \(-0.0729482\pi\)
\(252\) 6.43299 12.6171i 0.405241 0.794802i
\(253\) −0.494174 + 2.16811i −0.0310684 + 0.136308i
\(254\) 21.8957 37.9245i 1.37386 2.37960i
\(255\) 1.42856 + 3.56837i 0.0894598 + 0.223460i
\(256\) 16.9476 23.7996i 1.05922 1.48747i
\(257\) −1.87083 1.96207i −0.116699 0.122391i 0.662793 0.748803i \(-0.269371\pi\)
−0.779492 + 0.626412i \(0.784523\pi\)
\(258\) −5.52791 6.37955i −0.344153 0.397173i
\(259\) −9.09737 + 10.5947i −0.565283 + 0.658323i
\(260\) −2.03315 + 3.16365i −0.126091 + 0.196201i
\(261\) 0.430516 + 0.604575i 0.0266483 + 0.0374223i
\(262\) −0.346648 + 1.79858i −0.0214160 + 0.111117i
\(263\) −5.73997 + 11.1340i −0.353942 + 0.686551i −0.996843 0.0793981i \(-0.974700\pi\)
0.642901 + 0.765949i \(0.277730\pi\)
\(264\) 3.91368 + 1.56680i 0.240870 + 0.0964300i
\(265\) −20.8147 + 2.99271i −1.27864 + 0.183840i
\(266\) −35.7198 + 25.6785i −2.19012 + 1.57445i
\(267\) −9.23866 8.00534i −0.565397 0.489919i
\(268\) 52.5738 37.4376i 3.21146 2.28687i
\(269\) 19.9356 + 0.949652i 1.21550 + 0.0579013i 0.645510 0.763752i \(-0.276645\pi\)
0.569988 + 0.821653i \(0.306948\pi\)
\(270\) −3.12845 + 3.28102i −0.190391 + 0.199676i
\(271\) −1.11152 5.76711i −0.0675199 0.350327i 0.932419 0.361379i \(-0.117694\pi\)
−0.999939 + 0.0110524i \(0.996482\pi\)
\(272\) −30.7676 9.03417i −1.86556 0.547777i
\(273\) −0.513883 0.985896i −0.0311016 0.0596691i
\(274\) −10.1923 1.46544i −0.615742 0.0885304i
\(275\) −0.885382 0.511176i −0.0533905 0.0308250i
\(276\) 24.5288 7.57419i 1.47646 0.455913i
\(277\) −5.96133 10.3253i −0.358182 0.620389i 0.629475 0.777020i \(-0.283270\pi\)
−0.987657 + 0.156632i \(0.949936\pi\)
\(278\) −30.9858 + 39.4016i −1.85840 + 2.36315i
\(279\) −9.12604 + 4.16772i −0.546362 + 0.249515i
\(280\) 11.5034 + 38.5357i 0.687457 + 2.30295i
\(281\) 9.23150 7.99914i 0.550705 0.477189i −0.334496 0.942397i \(-0.608566\pi\)
0.885201 + 0.465208i \(0.154021\pi\)
\(282\) −3.11866 + 12.8553i −0.185714 + 0.765522i
\(283\) 0.303192 6.36479i 0.0180229 0.378347i −0.971779 0.235894i \(-0.924198\pi\)
0.989802 0.142453i \(-0.0454989\pi\)
\(284\) −72.4267 + 6.91591i −4.29773 + 0.410384i
\(285\) 9.68786 3.35300i 0.573859 0.198615i
\(286\) 0.444472 0.285645i 0.0262822 0.0168905i
\(287\) −1.21257 + 3.55509i −0.0715760 + 0.209850i
\(288\) −2.79468 19.4374i −0.164678 1.14536i
\(289\) −0.557392 11.7011i −0.0327877 0.688299i
\(290\) −3.30391 0.636777i −0.194012 0.0373928i
\(291\) 1.28251 + 13.4310i 0.0751820 + 0.787342i
\(292\) 17.2850 + 33.5282i 1.01153 + 1.96209i
\(293\) 9.29575 2.72948i 0.543064 0.159458i 0.00131609 0.999999i \(-0.499581\pi\)
0.541748 + 0.840541i \(0.317763\pi\)
\(294\) −18.4858 4.30913i −1.07811 0.251314i
\(295\) 0.211229 0.719380i 0.0122982 0.0418839i
\(296\) −4.56151 + 47.7703i −0.265132 + 2.77659i
\(297\) 0.430463 0.172332i 0.0249780 0.00999969i
\(298\) 38.4669 22.2088i 2.22833 1.28652i
\(299\) 0.632600 1.91342i 0.0365842 0.110656i
\(300\) 11.8025i 0.681416i
\(301\) −4.74734 + 6.73048i −0.273632 + 0.387938i
\(302\) 26.5405 + 58.1156i 1.52724 + 3.34418i
\(303\) 6.95699 6.63348i 0.399669 0.381083i
\(304\) −27.9728 + 80.8220i −1.60435 + 4.63546i
\(305\) 12.6127 + 12.0262i 0.722201 + 0.688617i
\(306\) −5.54114 + 2.85666i −0.316766 + 0.163304i
\(307\) 15.2288 + 6.95478i 0.869156 + 0.396930i 0.799518 0.600642i \(-0.205088\pi\)
0.0696377 + 0.997572i \(0.477816\pi\)
\(308\) 0.905348 6.50409i 0.0515870 0.370605i
\(309\) 7.17468 + 11.1640i 0.408153 + 0.635099i
\(310\) 16.9042 42.2247i 0.960095 2.39820i
\(311\) −17.2734 21.9649i −0.979483 1.24551i −0.969380 0.245565i \(-0.921026\pi\)
−0.0101032 0.999949i \(-0.503216\pi\)
\(312\) −3.39580 1.75066i −0.192249 0.0991115i
\(313\) −3.51664 10.1607i −0.198772 0.574315i 0.800929 0.598759i \(-0.204339\pi\)
−0.999701 + 0.0244447i \(0.992218\pi\)
\(314\) −13.2249 + 28.9585i −0.746325 + 1.63422i
\(315\) 3.84061 + 2.19444i 0.216394 + 0.123643i
\(316\) 12.1069 + 41.2324i 0.681067 + 2.31950i
\(317\) 6.62213 1.27631i 0.371936 0.0716847i 0.000141705 1.00000i \(-0.499955\pi\)
0.371794 + 0.928315i \(0.378743\pi\)
\(318\) −8.04101 33.1455i −0.450918 1.85871i
\(319\) 0.280328 + 0.199621i 0.0156954 + 0.0111766i
\(320\) 33.3190 + 26.2023i 1.86259 + 1.46476i
\(321\) 1.42405 0.0794826
\(322\) −17.7484 29.4756i −0.989079 1.64261i
\(323\) 14.0976 0.784409
\(324\) −4.20766 3.30894i −0.233759 0.183830i
\(325\) 0.754723 + 0.537436i 0.0418645 + 0.0298116i
\(326\) −8.83020 36.3986i −0.489060 2.01593i
\(327\) 5.76059 1.11026i 0.318561 0.0613976i
\(328\) 3.63651 + 12.3848i 0.200793 + 0.683838i
\(329\) 12.9067 0.0579737i 0.711570 0.00319619i
\(330\) −0.873229 + 1.91210i −0.0480697 + 0.105258i
\(331\) 2.79134 + 8.06505i 0.153426 + 0.443295i 0.995353 0.0962968i \(-0.0306998\pi\)
−0.841927 + 0.539592i \(0.818579\pi\)
\(332\) −42.5506 21.9364i −2.33527 1.20391i
\(333\) 3.26272 + 4.14889i 0.178796 + 0.227358i
\(334\) −6.04464 + 15.0988i −0.330748 + 0.826169i
\(335\) 10.8983 + 16.9581i 0.595437 + 0.926519i
\(336\) −34.1968 + 13.8689i −1.86559 + 0.756609i
\(337\) −1.55665 0.710898i −0.0847961 0.0387251i 0.372565 0.928006i \(-0.378478\pi\)
−0.457362 + 0.889281i \(0.651205\pi\)
\(338\) 30.9068 15.9336i 1.68111 0.866672i
\(339\) 6.18795 + 5.90020i 0.336083 + 0.320455i
\(340\) 6.72940 19.4433i 0.364953 1.05446i
\(341\) −3.36676 + 3.21020i −0.182320 + 0.173842i
\(342\) 6.90727 + 15.1248i 0.373502 + 0.817856i
\(343\) 0.249556 + 18.5186i 0.0134747 + 0.999909i
\(344\) 28.3030i 1.52599i
\(345\) 1.99843 + 7.76493i 0.107592 + 0.418050i
\(346\) −33.0452 + 19.0787i −1.77652 + 1.02568i
\(347\) −26.9686 + 10.7966i −1.44775 + 0.579592i −0.956580 0.291470i \(-0.905856\pi\)
−0.491172 + 0.871063i \(0.663431\pi\)
\(348\) 0.377648 3.95491i 0.0202441 0.212005i
\(349\) 2.22564 7.57985i 0.119136 0.405740i −0.878233 0.478233i \(-0.841277\pi\)
0.997369 + 0.0724931i \(0.0230955\pi\)
\(350\) 15.3556 3.79834i 0.820791 0.203030i
\(351\) −0.403194 + 0.118388i −0.0215209 + 0.00631910i
\(352\) −4.17233 8.09319i −0.222386 0.431368i
\(353\) 0.977762 + 10.2396i 0.0520410 + 0.544998i 0.983470 + 0.181074i \(0.0579573\pi\)
−0.931429 + 0.363924i \(0.881437\pi\)
\(354\) 1.19406 + 0.230136i 0.0634634 + 0.0122316i
\(355\) −1.08124 22.6981i −0.0573864 1.20469i
\(356\) 9.31258 + 64.7704i 0.493566 + 3.43283i
\(357\) 4.00394 + 4.57908i 0.211911 + 0.242350i
\(358\) −25.2582 + 16.2324i −1.33494 + 0.857912i
\(359\) 18.0554 6.24905i 0.952930 0.329812i 0.194013 0.980999i \(-0.437850\pi\)
0.758918 + 0.651187i \(0.225729\pi\)
\(360\) 15.1314 1.44487i 0.797494 0.0761515i
\(361\) 0.885032 18.5791i 0.0465806 0.977848i
\(362\) 4.56379 18.8122i 0.239868 0.988747i
\(363\) −8.15076 + 7.06268i −0.427804 + 0.370694i
\(364\) −1.37707 + 5.78976i −0.0721783 + 0.303466i
\(365\) −10.7168 + 4.89421i −0.560945 + 0.256175i
\(366\) −17.4726 + 22.2182i −0.913307 + 1.16136i
\(367\) 3.85656 + 6.67976i 0.201311 + 0.348680i 0.948951 0.315423i \(-0.102147\pi\)
−0.747640 + 0.664104i \(0.768813\pi\)
\(368\) −61.2264 26.9390i −3.19165 1.40429i
\(369\) 1.22950 + 0.709854i 0.0640054 + 0.0369535i
\(370\) −23.6846 3.40533i −1.23130 0.177035i
\(371\) −29.5102 + 15.3817i −1.53209 + 0.798581i
\(372\) 51.5285 + 15.1301i 2.67163 + 0.784460i
\(373\) 3.57552 + 18.5516i 0.185134 + 0.960564i 0.949021 + 0.315214i \(0.102076\pi\)
−0.763887 + 0.645350i \(0.776712\pi\)
\(374\) −1.99477 + 2.09206i −0.103147 + 0.108178i
\(375\) −12.0319 0.573151i −0.621326 0.0295974i
\(376\) 36.1286 25.7271i 1.86319 1.32677i
\(377\) −0.235705 0.204240i −0.0121394 0.0105189i
\(378\) −2.95096 + 6.53927i −0.151781 + 0.336344i
\(379\) −12.3041 + 1.76906i −0.632020 + 0.0908707i −0.450877 0.892586i \(-0.648889\pi\)
−0.181143 + 0.983457i \(0.557980\pi\)
\(380\) −50.9453 20.3954i −2.61344 1.04626i
\(381\) −7.40015 + 14.3543i −0.379121 + 0.735392i
\(382\) −1.80064 + 9.34261i −0.0921288 + 0.478010i
\(383\) −4.56941 6.41683i −0.233486 0.327885i 0.681165 0.732130i \(-0.261474\pi\)
−0.914651 + 0.404245i \(0.867534\pi\)
\(384\) −15.9352 + 24.7957i −0.813192 + 1.26535i
\(385\) 2.01566 + 0.379104i 0.102727 + 0.0193209i
\(386\) −47.3312 54.6231i −2.40909 2.78024i
\(387\) 2.14823 + 2.25300i 0.109201 + 0.114527i
\(388\) 41.8929 58.8303i 2.12679 2.98666i
\(389\) 2.26884 + 5.66728i 0.115035 + 0.287342i 0.974701 0.223514i \(-0.0717528\pi\)
−0.859666 + 0.510856i \(0.829329\pi\)
\(390\) 0.952515 1.64980i 0.0482325 0.0835411i
\(391\) −0.895414 + 10.9895i −0.0452830 + 0.555760i
\(392\) 37.3805 + 51.5079i 1.88800 + 2.60154i
\(393\) 0.0961326 0.668617i 0.00484925 0.0337273i
\(394\) 66.6191 + 6.36135i 3.35622 + 0.320480i
\(395\) −13.0434 + 3.16429i −0.656284 + 0.159213i
\(396\) −2.34551 0.811788i −0.117866 0.0407939i
\(397\) 30.9238 + 7.50204i 1.55202 + 0.376516i 0.917930 0.396741i \(-0.129859\pi\)
0.634092 + 0.773258i \(0.281374\pi\)
\(398\) −32.5865 20.9420i −1.63341 1.04973i
\(399\) 12.7073 10.0859i 0.636163 0.504925i
\(400\) 20.1389 23.2415i 1.00694 1.16208i
\(401\) 11.8546 0.564702i 0.591988 0.0281999i 0.250549 0.968104i \(-0.419389\pi\)
0.341439 + 0.939904i \(0.389086\pi\)
\(402\) −25.6998 + 20.2106i −1.28179 + 1.00801i
\(403\) 3.31391 2.60609i 0.165078 0.129818i
\(404\) −51.3971 + 2.44835i −2.55710 + 0.121810i
\(405\) 1.09484 1.26351i 0.0544029 0.0627843i
\(406\) −5.26707 + 0.781453i −0.261400 + 0.0387829i
\(407\) 2.05884 + 1.32314i 0.102053 + 0.0655854i
\(408\) 20.3133 + 4.92795i 1.00566 + 0.243970i
\(409\) 19.7938 + 6.85072i 0.978743 + 0.338746i 0.769168 0.639046i \(-0.220671\pi\)
0.209575 + 0.977793i \(0.432792\pi\)
\(410\) −6.25476 + 1.51739i −0.308901 + 0.0749385i
\(411\) 3.78022 + 0.360967i 0.186465 + 0.0178052i
\(412\) 10.1096 70.3136i 0.498063 3.46410i
\(413\) −0.0617784 1.18488i −0.00303991 0.0583043i
\(414\) −12.2289 + 4.42375i −0.601020 + 0.217416i
\(415\) 7.47595 12.9487i 0.366980 0.635628i
\(416\) 3.06692 + 7.66080i 0.150368 + 0.375602i
\(417\) 10.7227 15.0579i 0.525092 0.737389i
\(418\) 5.32034 + 5.57981i 0.260226 + 0.272917i
\(419\) 3.53130 + 4.07534i 0.172515 + 0.199093i 0.835422 0.549608i \(-0.185223\pi\)
−0.662907 + 0.748702i \(0.730678\pi\)
\(420\) −7.84462 22.3404i −0.382778 1.09010i
\(421\) −4.28462 + 6.66700i −0.208820 + 0.324930i −0.929826 0.367998i \(-0.880043\pi\)
0.721007 + 0.692928i \(0.243680\pi\)
\(422\) 32.7232 + 45.9533i 1.59294 + 2.23697i
\(423\) 0.923229 4.79017i 0.0448889 0.232906i
\(424\) −52.4014 + 101.644i −2.54484 + 4.93629i
\(425\) −4.70601 1.88400i −0.228275 0.0913876i
\(426\) 36.4810 5.24518i 1.76751 0.254130i
\(427\) 25.1379 + 11.3439i 1.21651 + 0.548970i
\(428\) −5.76091 4.99186i −0.278464 0.241291i
\(429\) −0.158716 + 0.113021i −0.00766286 + 0.00545670i
\(430\) −14.0968 0.671513i −0.679808 0.0323832i
\(431\) −23.3551 + 24.4941i −1.12497 + 1.17984i −0.143219 + 0.989691i \(0.545745\pi\)
−0.981755 + 0.190148i \(0.939103\pi\)
\(432\) 2.63962 + 13.6956i 0.126999 + 0.658932i
\(433\) 9.16139 + 2.69003i 0.440268 + 0.129274i 0.494352 0.869262i \(-0.335405\pi\)
−0.0540833 + 0.998536i \(0.517224\pi\)
\(434\) 3.10184 71.9103i 0.148893 3.45181i
\(435\) 1.22822 + 0.176591i 0.0588887 + 0.00846691i
\(436\) −27.1961 15.7017i −1.30246 0.751973i
\(437\) 29.1636 + 3.78014i 1.39508 + 0.180828i
\(438\) −9.55431 16.5485i −0.456523 0.790720i
\(439\) 0.878359 1.11692i 0.0419218 0.0533079i −0.764640 0.644457i \(-0.777083\pi\)
0.806562 + 0.591150i \(0.201326\pi\)
\(440\) 6.41109 2.92784i 0.305636 0.139580i
\(441\) 6.88512 + 1.26296i 0.327863 + 0.0601409i
\(442\) 1.97983 1.71553i 0.0941709 0.0815996i
\(443\) 5.33211 21.9792i 0.253336 1.04427i −0.692963 0.720973i \(-0.743695\pi\)
0.946299 0.323292i \(-0.104790\pi\)
\(444\) 1.34434 28.2212i 0.0637997 1.33932i
\(445\) −20.3451 + 1.94273i −0.964452 + 0.0920940i
\(446\) 27.2882 9.44455i 1.29214 0.447212i
\(447\) −13.7801 + 8.85596i −0.651778 + 0.418873i
\(448\) 63.4879 + 21.6545i 2.99952 + 1.02308i
\(449\) −0.824468 5.73430i −0.0389090 0.270618i 0.961075 0.276288i \(-0.0891044\pi\)
−0.999984 + 0.00566967i \(0.998195\pi\)
\(450\) −0.284482 5.97202i −0.0134106 0.281524i
\(451\) 0.646390 + 0.124582i 0.0304373 + 0.00586632i
\(452\) −4.35047 45.5602i −0.204629 2.14297i
\(453\) −10.7964 20.9421i −0.507258 0.983944i
\(454\) −41.8564 + 12.2902i −1.96442 + 0.576806i
\(455\) −1.78579 0.515655i −0.0837193 0.0241743i
\(456\) 15.7066 53.4916i 0.735527 2.50498i
\(457\) −0.898519 + 9.40972i −0.0420309 + 0.440168i 0.949823 + 0.312788i \(0.101263\pi\)
−0.991854 + 0.127380i \(0.959343\pi\)
\(458\) 30.2468 12.1090i 1.41334 0.565816i
\(459\) 1.99104 1.14953i 0.0929337 0.0536553i
\(460\) 19.1346 38.4179i 0.892158 1.79124i
\(461\) 22.9419i 1.06851i −0.845323 0.534256i \(-0.820592\pi\)
0.845323 0.534256i \(-0.179408\pi\)
\(462\) −0.301331 + 3.31288i −0.0140192 + 0.154129i
\(463\) 3.59168 + 7.86469i 0.166920 + 0.365503i 0.974545 0.224193i \(-0.0719747\pi\)
−0.807625 + 0.589696i \(0.799247\pi\)
\(464\) −7.49205 + 7.14365i −0.347810 + 0.331636i
\(465\) −5.48599 + 15.8507i −0.254407 + 0.735060i
\(466\) 6.18249 + 5.89500i 0.286399 + 0.273080i
\(467\) −31.3514 + 16.1628i −1.45077 + 0.747924i −0.990194 0.139696i \(-0.955388\pi\)
−0.460576 + 0.887620i \(0.652357\pi\)
\(468\) 2.04610 + 0.934422i 0.0945809 + 0.0431937i
\(469\) 25.1638 + 19.6068i 1.16196 + 0.905357i
\(470\) 11.9566 + 18.6049i 0.551519 + 0.858180i
\(471\) 4.36345 10.8994i 0.201057 0.502217i
\(472\) −2.52038 3.20492i −0.116010 0.147518i
\(473\) 1.28298 + 0.661423i 0.0589915 + 0.0304123i
\(474\) −7.11992 20.5717i −0.327029 0.944887i
\(475\) −5.61644 + 12.2983i −0.257700 + 0.564284i
\(476\) −0.146251 32.5598i −0.00670338 1.49238i
\(477\) 3.54365 + 12.0686i 0.162252 + 0.552581i
\(478\) 23.9013 4.60660i 1.09322 0.210701i
\(479\) 8.42290 + 34.7197i 0.384852 + 1.58638i 0.753911 + 0.656977i \(0.228165\pi\)
−0.369058 + 0.929406i \(0.620320\pi\)
\(480\) −26.7433 19.0438i −1.22066 0.869226i
\(481\) −1.74343 1.37105i −0.0794934 0.0625143i
\(482\) 31.3244 1.42679
\(483\) 7.05511 + 10.5463i 0.321019 + 0.479875i
\(484\) 57.7310 2.62414
\(485\) 17.7310 + 13.9438i 0.805123 + 0.633156i
\(486\) 2.20882 + 1.57290i 0.100194 + 0.0713480i
\(487\) −0.901777 3.71717i −0.0408634 0.168441i 0.947724 0.319093i \(-0.103378\pi\)
−0.988587 + 0.150651i \(0.951863\pi\)
\(488\) 93.0588 17.9356i 4.21257 0.811907i
\(489\) 3.89144 + 13.2530i 0.175977 + 0.599323i
\(490\) −26.5413 + 17.3959i −1.19901 + 0.785869i
\(491\) 16.6957 36.5585i 0.753467 1.64986i −0.00656538 0.999978i \(-0.502090\pi\)
0.760033 0.649885i \(-0.225183\pi\)
\(492\) −2.48557 7.18158i −0.112058 0.323771i
\(493\) 1.51666 + 0.781894i 0.0683071 + 0.0352148i
\(494\) −4.31913 5.49222i −0.194327 0.247107i
\(495\) 0.288115 0.719676i 0.0129498 0.0323470i
\(496\) −75.6533 117.719i −3.39694 5.28573i
\(497\) −13.5151 33.3245i −0.606236 1.49481i
\(498\) 22.0592 + 10.0741i 0.988498 + 0.451432i
\(499\) −17.3385 + 8.93859i −0.776176 + 0.400146i −0.800328 0.599562i \(-0.795342\pi\)
0.0241527 + 0.999708i \(0.492311\pi\)
\(500\) 46.6654 + 44.4954i 2.08694 + 1.98989i
\(501\) 1.96169 5.66794i 0.0876419 0.253225i
\(502\) 22.6009 21.5499i 1.00873 0.961818i
\(503\) 6.53922 + 14.3189i 0.291570 + 0.638448i 0.997563 0.0697699i \(-0.0222265\pi\)
−0.705993 + 0.708218i \(0.749499\pi\)
\(504\) 21.8357 10.0908i 0.972641 0.449481i
\(505\) 16.0710i 0.715150i
\(506\) −4.68754 + 3.79295i −0.208387 + 0.168617i
\(507\) −11.1054 + 6.41171i −0.493208 + 0.284754i
\(508\) 80.2544 32.1290i 3.56071 1.42549i
\(509\) −0.722830 + 7.56982i −0.0320389 + 0.335526i 0.965214 + 0.261460i \(0.0842038\pi\)
−0.997253 + 0.0740666i \(0.976402\pi\)
\(510\) −2.93640 + 10.0005i −0.130026 + 0.442828i
\(511\) −13.4357 + 12.9266i −0.594360 + 0.571839i
\(512\) 19.4551 5.71252i 0.859800 0.252460i
\(513\) −2.80980 5.45025i −0.124056 0.240634i
\(514\) −0.698787 7.31803i −0.0308222 0.322784i
\(515\) 21.7858 + 4.19888i 0.959999 + 0.185025i
\(516\) −0.792891 16.6448i −0.0349051 0.732748i
\(517\) −0.321912 2.23895i −0.0141577 0.0984688i
\(518\) −37.1499 + 7.33327i −1.63227 + 0.322205i
\(519\) 11.8379 7.60778i 0.519628 0.333944i
\(520\) −6.03607 + 2.08910i −0.264699 + 0.0916132i
\(521\) 14.3625 1.37145i 0.629231 0.0600843i 0.224432 0.974490i \(-0.427947\pi\)
0.404799 + 0.914406i \(0.367341\pi\)
\(522\) −0.0957613 + 2.01028i −0.00419136 + 0.0879874i
\(523\) 7.33167 30.2216i 0.320592 1.32150i −0.552326 0.833628i \(-0.686260\pi\)
0.872917 0.487868i \(-0.162225\pi\)
\(524\) −2.73267 + 2.36787i −0.119377 + 0.103441i
\(525\) −5.58981 + 1.66863i −0.243959 + 0.0728248i
\(526\) −30.8976 + 14.1104i −1.34720 + 0.615244i
\(527\) −14.2582 + 18.1308i −0.621099 + 0.789791i
\(528\) 3.23362 + 5.60079i 0.140725 + 0.243743i
\(529\) −4.79907 + 22.4938i −0.208655 + 0.977989i
\(530\) −49.3826 28.5110i −2.14504 1.23844i
\(531\) −0.443888 0.0638214i −0.0192631 0.00276961i
\(532\) −86.7619 3.74247i −3.76161 0.162256i
\(533\) −0.572417 0.168077i −0.0247941 0.00728022i
\(534\) −6.27334 32.5492i −0.271474 1.40854i
\(535\) 1.64295 1.72307i 0.0710309 0.0744950i
\(536\) 109.498 + 5.21603i 4.72959 + 0.225298i
\(537\) 9.01940 6.42269i 0.389216 0.277159i
\(538\) 40.9006 + 35.4406i 1.76335 + 1.52795i
\(539\) 3.20843 0.490759i 0.138197 0.0211385i
\(540\) −8.85821 + 1.27362i −0.381197 + 0.0548078i
\(541\) 10.9729 + 4.39290i 0.471763 + 0.188866i 0.595347 0.803469i \(-0.297015\pi\)
−0.123584 + 0.992334i \(0.539439\pi\)
\(542\) 7.29772 14.1556i 0.313464 0.608035i
\(543\) −1.35104 + 7.00984i −0.0579785 + 0.300821i
\(544\) −26.1880 36.7758i −1.12280 1.57675i
\(545\) 5.30269 8.25115i 0.227142 0.353440i
\(546\) 0.557241 2.96279i 0.0238477 0.126796i
\(547\) 3.67928 + 4.24611i 0.157315 + 0.181551i 0.828935 0.559344i \(-0.188947\pi\)
−0.671621 + 0.740895i \(0.734402\pi\)
\(548\) −14.0274 14.7115i −0.599219 0.628443i
\(549\) 6.04643 8.49102i 0.258055 0.362388i
\(550\) −1.03033 2.57365i −0.0439336 0.109741i
\(551\) 2.27554 3.94135i 0.0969411 0.167907i
\(552\) 40.7007 + 15.6413i 1.73234 + 0.665737i
\(553\) −17.8166 + 11.5634i −0.757637 + 0.491726i
\(554\) 4.60100 32.0007i 0.195478 1.35958i
\(555\) 8.78434 + 0.838803i 0.372875 + 0.0356052i
\(556\) −96.1621 + 23.3287i −4.07818 + 0.989356i
\(557\) −34.2215 11.8442i −1.45001 0.501854i −0.515223 0.857056i \(-0.672291\pi\)
−0.934790 + 0.355202i \(0.884412\pi\)
\(558\) −26.4380 6.41378i −1.11921 0.271517i
\(559\) −1.10048 0.707235i −0.0465453 0.0299128i
\(560\) −22.6723 + 57.3784i −0.958081 + 2.42468i
\(561\) 0.698094 0.805643i 0.0294736 0.0340143i
\(562\) 33.0850 1.57603i 1.39561 0.0664810i
\(563\) 9.57720 7.53159i 0.403631 0.317419i −0.395622 0.918413i \(-0.629471\pi\)
0.799253 + 0.600995i \(0.205229\pi\)
\(564\) −20.5263 + 16.1421i −0.864315 + 0.679705i
\(565\) 14.2783 0.680159i 0.600692 0.0286145i
\(566\) 11.3150 13.0582i 0.475604 0.548877i
\(567\) 0.972284 2.46062i 0.0408321 0.103336i
\(568\) −103.958 66.8096i −4.36197 2.80327i
\(569\) −9.35099 2.26853i −0.392014 0.0951016i 0.0349068 0.999391i \(-0.488887\pi\)
−0.426921 + 0.904289i \(0.640402\pi\)
\(570\) 26.2698 + 9.09207i 1.10032 + 0.380825i
\(571\) 1.48684 0.360703i 0.0622223 0.0150950i −0.204527 0.978861i \(-0.565566\pi\)
0.266749 + 0.963766i \(0.414050\pi\)
\(572\) 1.03826 + 0.0991417i 0.0434118 + 0.00414532i
\(573\) 0.499355 3.47309i 0.0208609 0.145090i
\(574\) −8.54367 + 5.54506i −0.356606 + 0.231446i
\(575\) −9.23014 5.15931i −0.384923 0.215158i
\(576\) 12.6768 21.9569i 0.528200 0.914869i
\(577\) −7.22308 18.0424i −0.300701 0.751115i −0.999364 0.0356637i \(-0.988645\pi\)
0.698663 0.715451i \(-0.253779\pi\)
\(578\) 18.4255 25.8749i 0.766398 1.07626i
\(579\) 18.3936 + 19.2907i 0.764414 + 0.801694i
\(580\) −4.34968 5.01980i −0.180611 0.208436i
\(581\) 4.37359 23.2539i 0.181447 0.964735i
\(582\) −19.7797 + 30.7778i −0.819893 + 1.27578i
\(583\) 3.38298 + 4.75074i 0.140109 + 0.196755i
\(584\) −12.1252 + 62.9114i −0.501743 + 2.60329i
\(585\) −0.321924 + 0.624445i −0.0133099 + 0.0258176i
\(586\) 24.3889 + 9.76384i 1.00750 + 0.403340i
\(587\) 38.8132 5.58049i 1.60199 0.230332i 0.717387 0.696674i \(-0.245338\pi\)
0.884604 + 0.466343i \(0.154429\pi\)
\(588\) −23.4262 29.2444i −0.966082 1.20602i
\(589\) 46.4932 + 40.2866i 1.91572 + 1.65998i
\(590\) 1.65607 1.17928i 0.0681791 0.0485501i
\(591\) −24.6518 1.17431i −1.01404 0.0483046i
\(592\) −50.8020 + 53.2796i −2.08795 + 2.18978i
\(593\) −3.18100 16.5046i −0.130628 0.677762i −0.986912 0.161257i \(-0.948445\pi\)
0.856284 0.516505i \(-0.172767\pi\)
\(594\) 1.20639 + 0.354227i 0.0494987 + 0.0145341i
\(595\) 10.1600 + 0.438252i 0.416521 + 0.0179666i
\(596\) 86.7906 + 12.4786i 3.55508 + 0.511143i
\(597\) 12.3712 + 7.14251i 0.506319 + 0.292324i
\(598\) 4.55568 3.01804i 0.186295 0.123417i
\(599\) −14.1129 24.4443i −0.576637 0.998765i −0.995862 0.0908824i \(-0.971031\pi\)
0.419224 0.907883i \(-0.362302\pi\)
\(600\) −12.3918 + 15.7574i −0.505892 + 0.643294i
\(601\) −15.9102 + 7.26596i −0.648992 + 0.296385i −0.712579 0.701592i \(-0.752473\pi\)
0.0635874 + 0.997976i \(0.479746\pi\)
\(602\) −21.4006 + 6.38833i −0.872222 + 0.260369i
\(603\) 9.11228 7.89583i 0.371081 0.321543i
\(604\) −29.7341 + 122.566i −1.20986 + 4.98713i
\(605\) −0.857952 + 18.0106i −0.0348807 + 0.732236i
\(606\) 25.9478 2.47771i 1.05406 0.100650i
\(607\) −36.5268 + 12.6421i −1.48258 + 0.513125i −0.944142 0.329540i \(-0.893106\pi\)
−0.538437 + 0.842666i \(0.680985\pi\)
\(608\) −101.299 + 65.1007i −4.10821 + 2.64018i
\(609\) 1.92649 0.380284i 0.0780654 0.0154099i
\(610\) 6.72525 + 46.7751i 0.272297 + 1.89387i
\(611\) 0.0975404 + 2.04763i 0.00394606 + 0.0828381i
\(612\) −12.0842 2.32904i −0.488475 0.0941457i
\(613\) 2.36057 + 24.7211i 0.0953427 + 0.998474i 0.908907 + 0.416999i \(0.136918\pi\)
−0.813564 + 0.581475i \(0.802476\pi\)
\(614\) 20.8023 + 40.3507i 0.839511 + 1.62842i
\(615\) 2.27741 0.668708i 0.0918341 0.0269649i
\(616\) 8.03757 7.73303i 0.323843 0.311573i
\(617\) −8.70713 + 29.6538i −0.350536 + 1.19382i 0.575950 + 0.817485i \(0.304632\pi\)
−0.926486 + 0.376330i \(0.877186\pi\)
\(618\) −3.42060 + 35.8222i −0.137597 + 1.44098i
\(619\) 22.5632 9.03293i 0.906890 0.363064i 0.129132 0.991627i \(-0.458781\pi\)
0.777758 + 0.628563i \(0.216357\pi\)
\(620\) 77.7565 44.8927i 3.12278 1.80294i
\(621\) 4.42709 1.84414i 0.177653 0.0740029i
\(622\) 75.7716i 3.03816i
\(623\) −29.3596 + 13.5678i −1.17627 + 0.543581i
\(624\) −2.43476 5.33139i −0.0974685 0.213426i
\(625\) −6.59622 + 6.28948i −0.263849 + 0.251579i
\(626\) 9.53580 27.5519i 0.381127 1.10119i
\(627\) −2.05774 1.96205i −0.0821781 0.0783567i
\(628\) −55.8588 + 28.7972i −2.22901 + 1.14913i
\(629\) 11.0381 + 5.04093i 0.440118 + 0.200995i
\(630\) 4.50784 + 11.1151i 0.179597 + 0.442836i
\(631\) 3.46640 + 5.39382i 0.137995 + 0.214724i 0.903372 0.428858i \(-0.141084\pi\)
−0.765377 + 0.643582i \(0.777447\pi\)
\(632\) −27.1272 + 67.7606i −1.07906 + 2.69537i
\(633\) −12.8605 16.3534i −0.511157 0.649989i
\(634\) 16.2543 + 8.37967i 0.645540 + 0.332799i
\(635\) 8.83077 + 25.5148i 0.350439 + 1.01253i
\(636\) 27.9695 61.2446i 1.10906 2.42851i
\(637\) −2.93680 + 0.166351i −0.116360 + 0.00659109i
\(638\) 0.262906 + 0.895377i 0.0104086 + 0.0354483i
\(639\) −13.3463 + 2.57229i −0.527971 + 0.101758i
\(640\) 11.6177 + 47.8886i 0.459228 + 1.89296i
\(641\) −10.5626 7.52157i −0.417196 0.297084i 0.352117 0.935956i \(-0.385462\pi\)
−0.769313 + 0.638872i \(0.779401\pi\)
\(642\) 3.03533 + 2.38701i 0.119795 + 0.0942077i
\(643\) −1.22839 −0.0484430 −0.0242215 0.999707i \(-0.507711\pi\)
−0.0242215 + 0.999707i \(0.507711\pi\)
\(644\) 8.42809 67.3957i 0.332113 2.65576i
\(645\) 5.20455 0.204929
\(646\) 30.0486 + 23.6305i 1.18225 + 0.929730i
\(647\) −24.1188 17.1749i −0.948207 0.675215i −0.00241777 0.999997i \(-0.500770\pi\)
−0.945789 + 0.324782i \(0.894709\pi\)
\(648\) −2.14347 8.83550i −0.0842034 0.347091i
\(649\) −0.204179 + 0.0393524i −0.00801475 + 0.00154472i
\(650\) 0.707819 + 2.41061i 0.0277629 + 0.0945519i
\(651\) 0.119228 + 26.5437i 0.00467290 + 1.04033i
\(652\) 30.7146 67.2555i 1.20288 2.63393i
\(653\) −6.28577 18.1615i −0.245981 0.710715i −0.998632 0.0522954i \(-0.983346\pi\)
0.752651 0.658420i \(-0.228775\pi\)
\(654\) 14.1396 + 7.28948i 0.552903 + 0.285041i
\(655\) −0.698106 0.887714i −0.0272773 0.0346858i
\(656\) −7.35953 + 18.3832i −0.287341 + 0.717744i
\(657\) 3.80986 + 5.92826i 0.148637 + 0.231283i
\(658\) 27.6076 + 21.5108i 1.07625 + 0.838579i
\(659\) 18.3638 + 8.38647i 0.715353 + 0.326691i 0.739629 0.673015i \(-0.235001\pi\)
−0.0242765 + 0.999705i \(0.507728\pi\)
\(660\) −3.68830 + 1.90145i −0.143567 + 0.0740140i
\(661\) −9.48564 9.04454i −0.368948 0.351792i 0.482811 0.875725i \(-0.339616\pi\)
−0.851760 + 0.523933i \(0.824464\pi\)
\(662\) −7.56906 + 21.8694i −0.294180 + 0.849977i
\(663\) −0.699198 + 0.666683i −0.0271546 + 0.0258918i
\(664\) −33.7774 73.9623i −1.31082 2.87029i
\(665\) 2.45694 27.0119i 0.0952761 1.04748i
\(666\) 14.3123i 0.554590i
\(667\) 2.92786 + 2.02418i 0.113367 + 0.0783767i
\(668\) −27.8043 + 16.0528i −1.07578 + 0.621102i
\(669\) −9.88631 + 3.95788i −0.382227 + 0.153021i
\(670\) −5.19587 + 54.4137i −0.200734 + 2.10218i
\(671\) 1.36170 4.63752i 0.0525678 0.179030i
\(672\) −49.9161 14.4135i −1.92556 0.556012i
\(673\) −5.42038 + 1.59157i −0.208940 + 0.0613504i −0.384528 0.923113i \(-0.625636\pi\)
0.175588 + 0.984464i \(0.443817\pi\)
\(674\) −2.12635 4.12454i −0.0819039 0.158871i
\(675\) 0.209587 + 2.19489i 0.00806700 + 0.0844814i
\(676\) 67.4020 + 12.9907i 2.59238 + 0.499641i
\(677\) −1.21425 25.4903i −0.0466676 0.979673i −0.893849 0.448369i \(-0.852005\pi\)
0.847181 0.531304i \(-0.178298\pi\)
\(678\) 3.29949 + 22.9485i 0.126716 + 0.881331i
\(679\) 33.7856 + 11.5237i 1.29657 + 0.442237i
\(680\) 29.3985 18.8933i 1.12738 0.724524i
\(681\) 15.2028 5.26174i 0.582572 0.201630i
\(682\) −12.5571 + 1.19906i −0.480838 + 0.0459145i
\(683\) 1.83238 38.4664i 0.0701140 1.47187i −0.640319 0.768110i \(-0.721198\pi\)
0.710433 0.703765i \(-0.248499\pi\)
\(684\) −7.73841 + 31.8982i −0.295886 + 1.21966i
\(685\) 4.79807 4.15755i 0.183325 0.158852i
\(686\) −30.5092 + 39.8903i −1.16485 + 1.52302i
\(687\) −10.9294 + 4.99128i −0.416982 + 0.190429i
\(688\) −26.8402 + 34.1301i −1.02327 + 1.30120i
\(689\) −2.64275 4.57737i −0.100681 0.174384i
\(690\) −8.75607 + 19.9006i −0.333338 + 0.757602i
\(691\) −12.1935 7.03990i −0.463861 0.267810i 0.249805 0.968296i \(-0.419633\pi\)
−0.713666 + 0.700486i \(0.752967\pi\)
\(692\) −74.5581 10.7198i −2.83427 0.407507i
\(693\) 0.0528677 1.22564i 0.00200828 0.0465581i
\(694\) −75.5805 22.1924i −2.86900 0.842413i
\(695\) −5.84888 30.3469i −0.221861 1.15112i
\(696\) 4.65658 4.88368i 0.176507 0.185115i
\(697\) 3.26029 + 0.155307i 0.123492 + 0.00588266i
\(698\) 17.4494 12.4256i 0.660468 0.470317i
\(699\) −2.38086 2.06302i −0.0900523 0.0780308i
\(700\) 28.4625 + 12.8442i 1.07578 + 0.485465i
\(701\) 25.4826 3.66385i 0.962465 0.138382i 0.356869 0.934154i \(-0.383844\pi\)
0.605595 + 0.795773i \(0.292935\pi\)
\(702\) −1.05784 0.423497i −0.0399257 0.0159838i
\(703\) 14.8305 28.7671i 0.559342 1.08497i
\(704\) 2.22482 11.5434i 0.0838509 0.435060i
\(705\) −4.73088 6.64359i −0.178175 0.250212i
\(706\) −15.0797 + 23.4644i −0.567530 + 0.883094i
\(707\) −8.42607 23.9963i −0.316895 0.902472i
\(708\) 1.57200 + 1.81419i 0.0590796 + 0.0681814i
\(709\) −17.1033 17.9374i −0.642328 0.673654i 0.319412 0.947616i \(-0.396514\pi\)
−0.961741 + 0.273961i \(0.911666\pi\)
\(710\) 35.7422 50.1929i 1.34138 1.88371i
\(711\) 2.98371 + 7.45295i 0.111898 + 0.279507i
\(712\) −55.5713 + 96.2522i −2.08262 + 3.60721i
\(713\) −34.3576 + 33.6840i −1.28670 + 1.26147i
\(714\) 0.858813 + 16.4717i 0.0321403 + 0.616437i
\(715\) −0.0463595 + 0.322437i −0.00173375 + 0.0120585i
\(716\) −59.0016 5.63397i −2.20499 0.210551i
\(717\) −8.72357 + 2.11632i −0.325788 + 0.0790352i
\(718\) 48.9596 + 16.9451i 1.82715 + 0.632384i
\(719\) 27.9933 + 6.79111i 1.04398 + 0.253266i 0.720851 0.693090i \(-0.243751\pi\)
0.323125 + 0.946356i \(0.395267\pi\)
\(720\) 19.6169 + 12.6070i 0.731078 + 0.469835i
\(721\) 34.7308 5.15286i 1.29344 0.191903i
\(722\) 33.0290 38.1175i 1.22921 1.41859i
\(723\) −11.5388 + 0.549662i −0.429134 + 0.0204422i
\(724\) 30.0379 23.6220i 1.11635 0.877906i
\(725\) −1.28634 + 1.01159i −0.0477734 + 0.0375694i
\(726\) −29.2117 + 1.39153i −1.08415 + 0.0516444i
\(727\) −16.8772 + 19.4773i −0.625939 + 0.722372i −0.976823 0.214046i \(-0.931336\pi\)
0.350884 + 0.936419i \(0.385881\pi\)
\(728\) −7.91737 + 6.28405i −0.293437 + 0.232902i
\(729\) −0.841254 0.540641i −0.0311575 0.0200237i
\(730\) −31.0464 7.53179i −1.14908 0.278764i
\(731\) 6.76338 + 2.34083i 0.250153 + 0.0865787i
\(732\) −54.2249 + 13.1548i −2.00421 + 0.486216i
\(733\) 17.0003 + 1.62333i 0.627921 + 0.0599592i 0.404165 0.914686i \(-0.367562\pi\)
0.223756 + 0.974645i \(0.428168\pi\)
\(734\) −2.97652 + 20.7022i −0.109865 + 0.764131i
\(735\) 9.47165 6.87379i 0.349367 0.253544i
\(736\) −44.3138 83.1002i −1.63343 3.06311i
\(737\) 2.79534 4.84168i 0.102968 0.178345i
\(738\) 1.43079 + 3.57395i 0.0526682 + 0.131559i
\(739\) −8.56398 + 12.0264i −0.315031 + 0.442399i −0.941483 0.337061i \(-0.890567\pi\)
0.626452 + 0.779460i \(0.284507\pi\)
\(740\) −32.5963 34.1860i −1.19826 1.25670i
\(741\) 1.68739 + 1.94735i 0.0619879 + 0.0715378i
\(742\) −88.6835 16.6796i −3.25567 0.612326i
\(743\) 3.11868 4.85277i 0.114413 0.178031i −0.779324 0.626621i \(-0.784437\pi\)
0.893738 + 0.448590i \(0.148074\pi\)
\(744\) 52.9099 + 74.3015i 1.93977 + 2.72402i
\(745\) −5.18282 + 26.8910i −0.189884 + 0.985211i
\(746\) −23.4753 + 45.5356i −0.859490 + 1.66718i
\(747\) −8.30263 3.32387i −0.303777 0.121614i
\(748\) −5.64821 + 0.812089i −0.206519 + 0.0296929i
\(749\) 1.54974 3.43419i 0.0566263 0.125483i
\(750\) −24.6851 21.3897i −0.901371 0.781042i
\(751\) 7.29655 5.19585i 0.266255 0.189599i −0.439130 0.898423i \(-0.644713\pi\)
0.705385 + 0.708824i \(0.250774\pi\)
\(752\) 67.9643 + 3.23754i 2.47840 + 0.118061i
\(753\) −7.94723 + 8.33481i −0.289613 + 0.303737i
\(754\) −0.160051 0.830424i −0.00582872 0.0302423i
\(755\) −37.7955 11.0978i −1.37552 0.403889i
\(756\) −12.5588 + 6.54608i −0.456759 + 0.238079i
\(757\) −19.6584 2.82646i −0.714498 0.102729i −0.224527 0.974468i \(-0.572084\pi\)
−0.489971 + 0.871738i \(0.662993\pi\)
\(758\) −29.1913 16.8536i −1.06027 0.612150i
\(759\) 1.66017 1.47944i 0.0602604 0.0537004i
\(760\) −46.6031 80.7189i −1.69047 2.92798i
\(761\) −32.2356 + 40.9909i −1.16854 + 1.48592i −0.327581 + 0.944823i \(0.606233\pi\)
−0.840960 + 0.541098i \(0.818009\pi\)
\(762\) −39.8341 + 18.1916i −1.44304 + 0.659013i
\(763\) 3.59156 15.1003i 0.130023 0.546669i
\(764\) −14.1947 + 12.2998i −0.513546 + 0.444990i
\(765\) 0.906187 3.73535i 0.0327632 0.135052i
\(766\) 1.01639 21.3366i 0.0367236 0.770924i
\(767\) 0.187593 0.0179130i 0.00677360 0.000646800i
\(768\) −27.6102 + 9.55599i −0.996298 + 0.344822i
\(769\) 43.3485 27.8584i 1.56319 1.00460i 0.581624 0.813458i \(-0.302418\pi\)
0.981563 0.191141i \(-0.0612187\pi\)
\(770\) 3.66087 + 4.18673i 0.131929 + 0.150879i
\(771\) 0.385821 + 2.68345i 0.0138950 + 0.0966419i
\(772\) −6.78890 142.517i −0.244338 5.12929i
\(773\) −3.10681 0.598789i −0.111744 0.0215370i 0.133072