Properties

Label 570.2.bf.a.269.29
Level $570$
Weight $2$
Character 570.269
Analytic conductor $4.551$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bf (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(40\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 269.29
Character \(\chi\) \(=\) 570.269
Dual form 570.2.bf.a.89.29

$q$-expansion

\(f(q)\) \(=\) \(q+(0.642788 - 0.766044i) q^{2} +(-0.417284 + 1.68103i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(-0.0444616 + 2.23563i) q^{5} +(1.01952 + 1.40021i) q^{6} +(4.02623 - 2.32455i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(-2.65175 - 1.40294i) q^{9} +O(q^{10})\) \(q+(0.642788 - 0.766044i) q^{2} +(-0.417284 + 1.68103i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(-0.0444616 + 2.23563i) q^{5} +(1.01952 + 1.40021i) q^{6} +(4.02623 - 2.32455i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(-2.65175 - 1.40294i) q^{9} +(1.68401 + 1.47109i) q^{10} +(0.0906937 + 0.0523621i) q^{11} +(1.72796 + 0.119036i) q^{12} +(1.33336 + 0.485303i) q^{13} +(0.807307 - 4.57846i) q^{14} +(-3.73961 - 1.00763i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(3.79975 + 3.18837i) q^{17} +(-2.77922 + 1.12957i) q^{18} +(3.84452 + 2.05419i) q^{19} +(2.20938 - 0.344426i) q^{20} +(2.22756 + 7.73823i) q^{21} +(0.0984085 - 0.0358178i) q^{22} +(0.445860 + 2.52860i) q^{23} +(1.20190 - 1.24718i) q^{24} +(-4.99605 - 0.198799i) q^{25} +(1.22883 - 0.709466i) q^{26} +(3.46491 - 3.87226i) q^{27} +(-2.98838 - 3.56141i) q^{28} +(-5.99196 + 5.02786i) q^{29} +(-3.17567 + 2.21701i) q^{30} +(-2.96451 + 1.71156i) q^{31} +(-0.342020 + 0.939693i) q^{32} +(-0.125867 + 0.130609i) q^{33} +(4.88487 - 0.861334i) q^{34} +(5.01780 + 9.10450i) q^{35} +(-0.921151 + 2.85508i) q^{36} +4.83826 q^{37} +(4.04481 - 1.62467i) q^{38} +(-1.37220 + 2.03891i) q^{39} +(1.15632 - 1.91388i) q^{40} +(0.912946 - 0.332285i) q^{41} +(7.35968 + 3.26763i) q^{42} +(-3.52133 - 0.620906i) q^{43} +(0.0358178 - 0.0984085i) q^{44} +(3.25434 - 5.86594i) q^{45} +(2.22361 + 1.28380i) q^{46} +(4.06112 - 3.40768i) q^{47} +(-0.182829 - 1.72237i) q^{48} +(7.30704 - 12.6562i) q^{49} +(-3.36369 + 3.69941i) q^{50} +(-6.94533 + 5.05705i) q^{51} +(0.246395 - 1.39737i) q^{52} +(3.46921 - 0.611716i) q^{53} +(-0.739116 - 5.14332i) q^{54} +(-0.121094 + 0.200429i) q^{55} -4.64909 q^{56} +(-5.05741 + 5.60559i) q^{57} +7.82195i q^{58} +(1.98984 + 1.66967i) q^{59} +(-0.342947 + 3.85777i) q^{60} +(-2.42070 - 13.7285i) q^{61} +(-0.594418 + 3.37111i) q^{62} +(-13.9377 + 0.515565i) q^{63} +(0.500000 + 0.866025i) q^{64} +(-1.14424 + 2.95931i) q^{65} +(0.0191466 + 0.180374i) q^{66} +(-5.34450 + 4.48457i) q^{67} +(2.48011 - 4.29568i) q^{68} +(-4.43671 - 0.305637i) q^{69} +(10.1998 + 2.00840i) q^{70} +(2.73413 - 15.5060i) q^{71} +(1.59501 + 2.54085i) q^{72} +(-2.57642 - 7.07867i) q^{73} +(3.10997 - 3.70632i) q^{74} +(2.41896 - 8.31557i) q^{75} +(1.35538 - 4.14282i) q^{76} +0.486872 q^{77} +(0.679865 + 2.36175i) q^{78} +(-1.78665 - 4.90879i) q^{79} +(-0.722849 - 2.11601i) q^{80} +(5.06354 + 7.44047i) q^{81} +(0.332285 - 0.912946i) q^{82} +(2.49077 + 4.31413i) q^{83} +(7.23386 - 3.53745i) q^{84} +(-7.29695 + 8.35306i) q^{85} +(-2.73911 + 2.29839i) q^{86} +(-5.95164 - 12.1707i) q^{87} +(-0.0523621 - 0.0906937i) q^{88} +(-16.3079 - 5.93559i) q^{89} +(-2.40172 - 6.26352i) q^{90} +(6.49653 - 1.14551i) q^{91} +(2.41276 - 0.878173i) q^{92} +(-1.64015 - 5.69764i) q^{93} -5.30141i q^{94} +(-4.76332 + 8.50357i) q^{95} +(-1.43694 - 0.967066i) q^{96} +(-7.91209 - 6.63904i) q^{97} +(-4.99831 - 13.7327i) q^{98} +(-0.167036 - 0.266089i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + O(q^{10}) \) \( 240q - 30q^{15} + 48q^{19} + 12q^{25} - 48q^{39} + 36q^{45} - 72q^{46} + 216q^{49} - 180q^{51} + 36q^{54} + 60q^{55} + 6q^{60} - 72q^{61} + 120q^{64} - 156q^{66} + 48q^{79} - 120q^{81} - 108q^{84} - 48q^{85} - 36q^{90} - 24q^{91} - 216q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{13}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.642788 0.766044i 0.454519 0.541675i
\(3\) −0.417284 + 1.68103i −0.240919 + 0.970545i
\(4\) −0.173648 0.984808i −0.0868241 0.492404i
\(5\) −0.0444616 + 2.23563i −0.0198838 + 0.999802i
\(6\) 1.01952 + 1.40021i 0.416218 + 0.571632i
\(7\) 4.02623 2.32455i 1.52177 0.878596i 0.522104 0.852882i \(-0.325147\pi\)
0.999669 0.0257143i \(-0.00818600\pi\)
\(8\) −0.866025 0.500000i −0.306186 0.176777i
\(9\) −2.65175 1.40294i −0.883916 0.467645i
\(10\) 1.68401 + 1.47109i 0.532531 + 0.465200i
\(11\) 0.0906937 + 0.0523621i 0.0273452 + 0.0157878i 0.513610 0.858024i \(-0.328308\pi\)
−0.486265 + 0.873811i \(0.661641\pi\)
\(12\) 1.72796 + 0.119036i 0.498818 + 0.0343627i
\(13\) 1.33336 + 0.485303i 0.369807 + 0.134599i 0.520237 0.854022i \(-0.325844\pi\)
−0.150430 + 0.988621i \(0.548066\pi\)
\(14\) 0.807307 4.57846i 0.215762 1.22365i
\(15\) −3.73961 1.00763i −0.965563 0.260169i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) 3.79975 + 3.18837i 0.921575 + 0.773293i 0.974286 0.225317i \(-0.0723416\pi\)
−0.0527106 + 0.998610i \(0.516786\pi\)
\(18\) −2.77922 + 1.12957i −0.655069 + 0.266242i
\(19\) 3.84452 + 2.05419i 0.881993 + 0.471262i
\(20\) 2.20938 0.344426i 0.494033 0.0770161i
\(21\) 2.22756 + 7.73823i 0.486093 + 1.68862i
\(22\) 0.0984085 0.0358178i 0.0209808 0.00763637i
\(23\) 0.445860 + 2.52860i 0.0929682 + 0.527249i 0.995351 + 0.0963137i \(0.0307052\pi\)
−0.902383 + 0.430935i \(0.858184\pi\)
\(24\) 1.20190 1.24718i 0.245336 0.254579i
\(25\) −4.99605 0.198799i −0.999209 0.0397598i
\(26\) 1.22883 0.709466i 0.240993 0.139138i
\(27\) 3.46491 3.87226i 0.666823 0.745216i
\(28\) −2.98838 3.56141i −0.564751 0.673044i
\(29\) −5.99196 + 5.02786i −1.11268 + 0.933649i −0.998212 0.0597776i \(-0.980961\pi\)
−0.114468 + 0.993427i \(0.536516\pi\)
\(30\) −3.17567 + 2.21701i −0.579795 + 0.404769i
\(31\) −2.96451 + 1.71156i −0.532441 + 0.307405i −0.742010 0.670389i \(-0.766127\pi\)
0.209569 + 0.977794i \(0.432794\pi\)
\(32\) −0.342020 + 0.939693i −0.0604612 + 0.166116i
\(33\) −0.125867 + 0.130609i −0.0219107 + 0.0227362i
\(34\) 4.88487 0.861334i 0.837748 0.147718i
\(35\) 5.01780 + 9.10450i 0.848164 + 1.53894i
\(36\) −0.921151 + 2.85508i −0.153525 + 0.475847i
\(37\) 4.83826 0.795405 0.397702 0.917514i \(-0.369808\pi\)
0.397702 + 0.917514i \(0.369808\pi\)
\(38\) 4.04481 1.62467i 0.656154 0.263556i
\(39\) −1.37220 + 2.03891i −0.219728 + 0.326487i
\(40\) 1.15632 1.91388i 0.182830 0.302611i
\(41\) 0.912946 0.332285i 0.142578 0.0518942i −0.269745 0.962932i \(-0.586940\pi\)
0.412324 + 0.911037i \(0.364717\pi\)
\(42\) 7.35968 + 3.26763i 1.13562 + 0.504206i
\(43\) −3.52133 0.620906i −0.536998 0.0946873i −0.101429 0.994843i \(-0.532342\pi\)
−0.435569 + 0.900155i \(0.643453\pi\)
\(44\) 0.0358178 0.0984085i 0.00539973 0.0148356i
\(45\) 3.25434 5.86594i 0.485129 0.874443i
\(46\) 2.22361 + 1.28380i 0.327854 + 0.189286i
\(47\) 4.06112 3.40768i 0.592375 0.497061i −0.296610 0.954999i \(-0.595856\pi\)
0.888984 + 0.457937i \(0.151412\pi\)
\(48\) −0.182829 1.72237i −0.0263891 0.248603i
\(49\) 7.30704 12.6562i 1.04386 1.80802i
\(50\) −3.36369 + 3.69941i −0.475697 + 0.523175i
\(51\) −6.94533 + 5.05705i −0.972541 + 0.708129i
\(52\) 0.246395 1.39737i 0.0341688 0.193781i
\(53\) 3.46921 0.611716i 0.476533 0.0840257i 0.0697774 0.997563i \(-0.477771\pi\)
0.406756 + 0.913537i \(0.366660\pi\)
\(54\) −0.739116 5.14332i −0.100581 0.699917i
\(55\) −0.121094 + 0.200429i −0.0163284 + 0.0270259i
\(56\) −4.64909 −0.621261
\(57\) −5.05741 + 5.60559i −0.669870 + 0.742478i
\(58\) 7.82195i 1.02707i
\(59\) 1.98984 + 1.66967i 0.259055 + 0.217373i 0.763060 0.646328i \(-0.223696\pi\)
−0.504005 + 0.863701i \(0.668141\pi\)
\(60\) −0.342947 + 3.85777i −0.0442743 + 0.498036i
\(61\) −2.42070 13.7285i −0.309939 1.75775i −0.599293 0.800530i \(-0.704552\pi\)
0.289354 0.957222i \(-0.406559\pi\)
\(62\) −0.594418 + 3.37111i −0.0754911 + 0.428132i
\(63\) −13.9377 + 0.515565i −1.75599 + 0.0649551i
\(64\) 0.500000 + 0.866025i 0.0625000 + 0.108253i
\(65\) −1.14424 + 2.95931i −0.141925 + 0.367058i
\(66\) 0.0191466 + 0.180374i 0.00235678 + 0.0222025i
\(67\) −5.34450 + 4.48457i −0.652935 + 0.547877i −0.907960 0.419057i \(-0.862361\pi\)
0.255025 + 0.966934i \(0.417916\pi\)
\(68\) 2.48011 4.29568i 0.300758 0.520928i
\(69\) −4.43671 0.305637i −0.534117 0.0367944i
\(70\) 10.1998 + 2.00840i 1.21911 + 0.240050i
\(71\) 2.73413 15.5060i 0.324482 1.84023i −0.188808 0.982014i \(-0.560462\pi\)
0.513290 0.858215i \(-0.328427\pi\)
\(72\) 1.59501 + 2.54085i 0.187974 + 0.299442i
\(73\) −2.57642 7.07867i −0.301548 0.828495i −0.994232 0.107254i \(-0.965794\pi\)
0.692684 0.721241i \(-0.256428\pi\)
\(74\) 3.10997 3.70632i 0.361527 0.430851i
\(75\) 2.41896 8.31557i 0.279317 0.960199i
\(76\) 1.35538 4.14282i 0.155473 0.475214i
\(77\) 0.486872 0.0554842
\(78\) 0.679865 + 2.36175i 0.0769795 + 0.267416i
\(79\) −1.78665 4.90879i −0.201014 0.552282i 0.797696 0.603060i \(-0.206052\pi\)
−0.998710 + 0.0507779i \(0.983830\pi\)
\(80\) −0.722849 2.11601i −0.0808170 0.236577i
\(81\) 5.06354 + 7.44047i 0.562616 + 0.826719i
\(82\) 0.332285 0.912946i 0.0366947 0.100818i
\(83\) 2.49077 + 4.31413i 0.273397 + 0.473538i 0.969729 0.244182i \(-0.0785193\pi\)
−0.696332 + 0.717719i \(0.745186\pi\)
\(84\) 7.23386 3.53745i 0.789279 0.385967i
\(85\) −7.29695 + 8.35306i −0.791465 + 0.906017i
\(86\) −2.73911 + 2.29839i −0.295366 + 0.247841i
\(87\) −5.95164 12.1707i −0.638083 1.30484i
\(88\) −0.0523621 0.0906937i −0.00558181 0.00966798i
\(89\) −16.3079 5.93559i −1.72863 0.629171i −0.730101 0.683339i \(-0.760527\pi\)
−0.998532 + 0.0541685i \(0.982749\pi\)
\(90\) −2.40172 6.26352i −0.253164 0.660233i
\(91\) 6.49653 1.14551i 0.681021 0.120082i
\(92\) 2.41276 0.878173i 0.251548 0.0915558i
\(93\) −1.64015 5.69764i −0.170075 0.590818i
\(94\) 5.30141i 0.546799i
\(95\) −4.76332 + 8.50357i −0.488707 + 0.872448i
\(96\) −1.43694 0.967066i −0.146657 0.0987007i
\(97\) −7.91209 6.63904i −0.803351 0.674092i 0.145660 0.989335i \(-0.453470\pi\)
−0.949011 + 0.315243i \(0.897914\pi\)
\(98\) −4.99831 13.7327i −0.504905 1.38722i
\(99\) −0.167036 0.266089i −0.0167878 0.0267429i
\(100\) 0.671776 + 4.95467i 0.0671776 + 0.495467i
\(101\) 0.0861922 0.236811i 0.00857645 0.0235636i −0.935331 0.353775i \(-0.884898\pi\)
0.943907 + 0.330211i \(0.107120\pi\)
\(102\) −0.590445 + 8.57104i −0.0584627 + 0.848660i
\(103\) −7.45112 + 12.9057i −0.734180 + 1.27164i 0.220902 + 0.975296i \(0.429100\pi\)
−0.955082 + 0.296341i \(0.904233\pi\)
\(104\) −0.912071 1.08696i −0.0894360 0.106586i
\(105\) −17.3988 + 4.63594i −1.69795 + 0.452421i
\(106\) 1.76137 3.05078i 0.171079 0.296318i
\(107\) −8.47883 + 4.89525i −0.819679 + 0.473242i −0.850306 0.526289i \(-0.823583\pi\)
0.0306267 + 0.999531i \(0.490250\pi\)
\(108\) −4.41510 2.73986i −0.424844 0.263644i
\(109\) 9.47129 + 1.67004i 0.907185 + 0.159961i 0.607725 0.794148i \(-0.292082\pi\)
0.299460 + 0.954109i \(0.403193\pi\)
\(110\) 0.0756997 + 0.221597i 0.00721768 + 0.0211284i
\(111\) −2.01893 + 8.13328i −0.191628 + 0.771976i
\(112\) −2.98838 + 3.56141i −0.282375 + 0.336522i
\(113\) 1.39050i 0.130807i 0.997859 + 0.0654036i \(0.0208335\pi\)
−0.997859 + 0.0654036i \(0.979167\pi\)
\(114\) 1.04329 + 7.47740i 0.0977129 + 0.700323i
\(115\) −5.67282 + 0.884351i −0.528993 + 0.0824661i
\(116\) 5.99196 + 5.02786i 0.556340 + 0.466825i
\(117\) −2.85488 3.15752i −0.263934 0.291913i
\(118\) 2.55809 0.451060i 0.235491 0.0415235i
\(119\) 22.7102 + 4.00442i 2.08184 + 0.367085i
\(120\) 2.73478 + 2.74244i 0.249650 + 0.250349i
\(121\) −5.49452 9.51678i −0.499501 0.865162i
\(122\) −12.0726 6.97013i −1.09300 0.631046i
\(123\) 0.177625 + 1.67335i 0.0160159 + 0.150881i
\(124\) 2.20034 + 2.62226i 0.197596 + 0.235486i
\(125\) 0.666572 11.1605i 0.0596200 0.998221i
\(126\) −8.56407 + 11.0083i −0.762948 + 0.980700i
\(127\) 3.69581 + 1.34517i 0.327950 + 0.119364i 0.500748 0.865593i \(-0.333058\pi\)
−0.172798 + 0.984957i \(0.555281\pi\)
\(128\) 0.984808 + 0.173648i 0.0870455 + 0.0153485i
\(129\) 2.51316 5.66038i 0.221271 0.498369i
\(130\) 1.53146 + 2.77875i 0.134318 + 0.243712i
\(131\) −5.21813 + 6.21873i −0.455910 + 0.543333i −0.944210 0.329343i \(-0.893173\pi\)
0.488300 + 0.872676i \(0.337617\pi\)
\(132\) 0.150482 + 0.101275i 0.0130978 + 0.00881487i
\(133\) 20.2540 0.666134i 1.75624 0.0577611i
\(134\) 6.97675i 0.602699i
\(135\) 8.50286 + 7.91842i 0.731810 + 0.681509i
\(136\) −1.69650 4.66108i −0.145473 0.399685i
\(137\) −1.52264 8.63533i −0.130088 0.737766i −0.978155 0.207877i \(-0.933345\pi\)
0.848067 0.529889i \(-0.177767\pi\)
\(138\) −3.08599 + 3.20226i −0.262697 + 0.272594i
\(139\) 13.7768 + 5.01436i 1.16854 + 0.425312i 0.852139 0.523315i \(-0.175305\pi\)
0.316396 + 0.948627i \(0.397527\pi\)
\(140\) 8.09485 6.52255i 0.684140 0.551256i
\(141\) 4.03379 + 8.24884i 0.339706 + 0.694678i
\(142\) −10.1209 12.0616i −0.849323 1.01218i
\(143\) 0.0955159 + 0.113831i 0.00798744 + 0.00951906i
\(144\) 2.97166 + 0.411377i 0.247638 + 0.0342815i
\(145\) −10.9740 13.6193i −0.911340 1.13102i
\(146\) −7.07867 2.57642i −0.585835 0.213226i
\(147\) 18.2263 + 17.5646i 1.50328 + 1.44870i
\(148\) −0.840155 4.76475i −0.0690603 0.391660i
\(149\) −5.04115 13.8504i −0.412987 1.13467i −0.955594 0.294686i \(-0.904785\pi\)
0.542607 0.839986i \(-0.317437\pi\)
\(150\) −4.81522 7.19817i −0.393161 0.587728i
\(151\) 17.8106i 1.44941i 0.689059 + 0.724705i \(0.258024\pi\)
−0.689059 + 0.724705i \(0.741976\pi\)
\(152\) −2.30236 3.70124i −0.186746 0.300210i
\(153\) −5.60290 13.7856i −0.452968 1.11450i
\(154\) 0.312955 0.372966i 0.0252187 0.0300544i
\(155\) −3.69460 6.70362i −0.296757 0.538448i
\(156\) 2.24622 + 0.997300i 0.179841 + 0.0798479i
\(157\) 17.7541 + 3.13052i 1.41693 + 0.249843i 0.829081 0.559129i \(-0.188864\pi\)
0.587848 + 0.808972i \(0.299975\pi\)
\(158\) −4.90879 1.78665i −0.390523 0.142139i
\(159\) −0.419332 + 6.08713i −0.0332552 + 0.482740i
\(160\) −2.08559 0.806409i −0.164881 0.0637523i
\(161\) 7.67298 + 9.14430i 0.604716 + 0.720672i
\(162\) 8.95451 + 0.903744i 0.703533 + 0.0710048i
\(163\) 12.5756 + 7.26050i 0.984993 + 0.568686i 0.903774 0.428010i \(-0.140785\pi\)
0.0812193 + 0.996696i \(0.474119\pi\)
\(164\) −0.485768 0.841375i −0.0379321 0.0657004i
\(165\) −0.286397 0.287200i −0.0222960 0.0223585i
\(166\) 4.90585 + 0.865034i 0.380768 + 0.0671397i
\(167\) −14.3743 + 2.53457i −1.11232 + 0.196131i −0.699464 0.714667i \(-0.746578\pi\)
−0.412851 + 0.910799i \(0.635467\pi\)
\(168\) 1.93999 7.81528i 0.149674 0.602962i
\(169\) −8.41625 7.06207i −0.647404 0.543236i
\(170\) 1.70843 + 10.9590i 0.131031 + 0.840519i
\(171\) −7.31280 10.8408i −0.559224 0.829016i
\(172\) 3.57565i 0.272641i
\(173\) −2.45142 + 2.92149i −0.186378 + 0.222117i −0.851140 0.524938i \(-0.824088\pi\)
0.664762 + 0.747055i \(0.268533\pi\)
\(174\) −13.1490 3.26397i −0.996821 0.247441i
\(175\) −20.5774 + 10.8131i −1.55550 + 0.817396i
\(176\) −0.103133 0.0181851i −0.00777395 0.00137076i
\(177\) −3.63711 + 2.64826i −0.273382 + 0.199055i
\(178\) −15.0294 + 8.67725i −1.12650 + 0.650387i
\(179\) 12.0121 20.8056i 0.897830 1.55509i 0.0675672 0.997715i \(-0.478476\pi\)
0.830263 0.557372i \(-0.188190\pi\)
\(180\) −6.34193 2.18629i −0.472700 0.162956i
\(181\) −2.84819 3.39434i −0.211704 0.252299i 0.649734 0.760162i \(-0.274880\pi\)
−0.861438 + 0.507863i \(0.830436\pi\)
\(182\) 3.29837 5.71295i 0.244492 0.423472i
\(183\) 24.0882 + 1.65939i 1.78065 + 0.122666i
\(184\) 0.878173 2.41276i 0.0647398 0.177871i
\(185\) −0.215117 + 10.8165i −0.0158157 + 0.795248i
\(186\) −5.41891 2.40595i −0.397334 0.176413i
\(187\) 0.177664 + 0.488128i 0.0129921 + 0.0356954i
\(188\) −4.06112 3.40768i −0.296187 0.248531i
\(189\) 4.94931 23.6450i 0.360010 1.71992i
\(190\) 3.45231 + 9.11491i 0.250457 + 0.661265i
\(191\) 8.06560i 0.583606i 0.956478 + 0.291803i \(0.0942552\pi\)
−0.956478 + 0.291803i \(0.905745\pi\)
\(192\) −1.66446 + 0.479138i −0.120122 + 0.0345788i
\(193\) −16.0842 + 5.85417i −1.15777 + 0.421392i −0.848299 0.529518i \(-0.822373\pi\)
−0.309467 + 0.950910i \(0.600151\pi\)
\(194\) −10.1716 + 1.79353i −0.730278 + 0.128768i
\(195\) −4.49724 3.15838i −0.322054 0.226176i
\(196\) −13.7327 4.99831i −0.980910 0.357022i
\(197\) −11.8521 20.5284i −0.844424 1.46258i −0.886121 0.463455i \(-0.846610\pi\)
0.0416969 0.999130i \(-0.486724\pi\)
\(198\) −0.311205 0.0430811i −0.0221163 0.00306164i
\(199\) −4.91779 + 4.12652i −0.348613 + 0.292521i −0.800233 0.599689i \(-0.795291\pi\)
0.451620 + 0.892211i \(0.350846\pi\)
\(200\) 4.22730 + 2.67019i 0.298916 + 0.188811i
\(201\) −5.30854 10.8556i −0.374435 0.765696i
\(202\) −0.126005 0.218246i −0.00886566 0.0153558i
\(203\) −12.4376 + 34.1719i −0.872946 + 2.39840i
\(204\) 6.18627 + 5.96167i 0.433126 + 0.417400i
\(205\) 0.702274 + 2.05578i 0.0490489 + 0.143582i
\(206\) 5.09686 + 14.0035i 0.355115 + 0.975671i
\(207\) 2.36515 7.33072i 0.164389 0.509520i
\(208\) −1.41893 −0.0983852
\(209\) 0.241112 + 0.387609i 0.0166781 + 0.0268114i
\(210\) −7.63242 + 16.3082i −0.526687 + 1.12537i
\(211\) −4.41320 + 5.25944i −0.303817 + 0.362075i −0.896254 0.443542i \(-0.853722\pi\)
0.592437 + 0.805617i \(0.298166\pi\)
\(212\) −1.20485 3.31029i −0.0827491 0.227351i
\(213\) 24.9253 + 11.0666i 1.70785 + 0.758271i
\(214\) −1.70010 + 9.64177i −0.116217 + 0.659098i
\(215\) 1.54468 7.84478i 0.105346 0.535009i
\(216\) −4.93683 + 1.62101i −0.335909 + 0.110296i
\(217\) −7.95719 + 13.7823i −0.540169 + 0.935601i
\(218\) 7.36735 6.18194i 0.498980 0.418694i
\(219\) 12.9746 1.37724i 0.876741 0.0930654i
\(220\) 0.218412 + 0.0844505i 0.0147253 + 0.00569365i
\(221\) 3.51911 + 6.09527i 0.236721 + 0.410012i
\(222\) 4.93271 + 6.77456i 0.331062 + 0.454678i
\(223\) 2.42000 13.7245i 0.162055 0.919061i −0.789994 0.613115i \(-0.789916\pi\)
0.952049 0.305946i \(-0.0989727\pi\)
\(224\) 0.807307 + 4.57846i 0.0539404 + 0.305911i
\(225\) 12.9694 + 7.53630i 0.864624 + 0.502420i
\(226\) 1.06518 + 0.893796i 0.0708550 + 0.0594544i
\(227\) 1.58854i 0.105435i −0.998609 0.0527176i \(-0.983212\pi\)
0.998609 0.0527176i \(-0.0167883\pi\)
\(228\) 6.39864 + 4.00718i 0.423760 + 0.265382i
\(229\) 16.9141 1.11771 0.558857 0.829264i \(-0.311240\pi\)
0.558857 + 0.829264i \(0.311240\pi\)
\(230\) −2.96897 + 4.91408i −0.195768 + 0.324025i
\(231\) −0.203164 + 0.818449i −0.0133672 + 0.0538500i
\(232\) 7.70312 1.35827i 0.505735 0.0891747i
\(233\) −2.53356 + 14.3685i −0.165979 + 0.941314i 0.782070 + 0.623190i \(0.214164\pi\)
−0.948049 + 0.318124i \(0.896947\pi\)
\(234\) −4.25388 + 0.157354i −0.278085 + 0.0102865i
\(235\) 7.43774 + 9.23065i 0.485185 + 0.602141i
\(236\) 1.29878 2.24955i 0.0845431 0.146433i
\(237\) 8.99739 0.955067i 0.584443 0.0620383i
\(238\) 17.6654 14.8230i 1.14508 0.960834i
\(239\) −15.6740 9.04939i −1.01387 0.585356i −0.101546 0.994831i \(-0.532379\pi\)
−0.912322 + 0.409474i \(0.865712\pi\)
\(240\) 3.85871 0.332157i 0.249079 0.0214407i
\(241\) 8.06391 22.1554i 0.519442 1.42716i −0.351695 0.936115i \(-0.614394\pi\)
0.871137 0.491041i \(-0.163383\pi\)
\(242\) −10.8221 1.90823i −0.695670 0.122665i
\(243\) −14.6206 + 5.40719i −0.937913 + 0.346872i
\(244\) −13.0996 + 4.76785i −0.838614 + 0.305230i
\(245\) 27.9696 + 16.8985i 1.78691 + 1.07961i
\(246\) 1.39604 + 0.939540i 0.0890080 + 0.0599029i
\(247\) 4.12922 + 4.60472i 0.262736 + 0.292992i
\(248\) 3.42312 0.217368
\(249\) −8.29156 + 2.38684i −0.525456 + 0.151260i
\(250\) −8.12094 7.68442i −0.513613 0.486006i
\(251\) −10.2777 + 1.81223i −0.648721 + 0.114387i −0.488320 0.872665i \(-0.662390\pi\)
−0.160401 + 0.987052i \(0.551279\pi\)
\(252\) 2.92800 + 13.6365i 0.184446 + 0.859017i
\(253\) −0.0919659 + 0.252674i −0.00578184 + 0.0158855i
\(254\) 3.40608 1.96650i 0.213716 0.123389i
\(255\) −10.9969 15.7520i −0.688651 0.986429i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) −6.00519 7.15671i −0.374593 0.446423i 0.545507 0.838107i \(-0.316337\pi\)
−0.920100 + 0.391683i \(0.871893\pi\)
\(258\) −2.72068 5.56362i −0.169382 0.346376i
\(259\) 19.4800 11.2468i 1.21043 0.698840i
\(260\) 3.11305 + 0.612976i 0.193063 + 0.0380152i
\(261\) 22.9429 4.92626i 1.42013 0.304928i
\(262\) 1.40967 + 7.99464i 0.0870897 + 0.493910i
\(263\) 12.1414 4.41912i 0.748672 0.272494i 0.0606254 0.998161i \(-0.480691\pi\)
0.688047 + 0.725666i \(0.258468\pi\)
\(264\) 0.174309 0.0501773i 0.0107280 0.00308820i
\(265\) 1.21332 + 7.78306i 0.0745338 + 0.478110i
\(266\) 12.5087 15.9436i 0.766959 0.977567i
\(267\) 16.7829 24.9373i 1.02710 1.52614i
\(268\) 5.34450 + 4.48457i 0.326467 + 0.273939i
\(269\) −26.0845 + 9.49400i −1.59040 + 0.578859i −0.977433 0.211247i \(-0.932248\pi\)
−0.612970 + 0.790106i \(0.710025\pi\)
\(270\) 11.5314 1.42371i 0.701778 0.0866440i
\(271\) −0.913695 + 5.18182i −0.0555030 + 0.314773i −0.999902 0.0140297i \(-0.995534\pi\)
0.944399 + 0.328803i \(0.106645\pi\)
\(272\) −4.66108 1.69650i −0.282620 0.102865i
\(273\) −0.785249 + 11.3989i −0.0475254 + 0.689892i
\(274\) −7.59379 4.38427i −0.458757 0.264864i
\(275\) −0.442701 0.279633i −0.0266958 0.0168625i
\(276\) 0.469432 + 4.42238i 0.0282565 + 0.266196i
\(277\) −12.6467 7.30156i −0.759865 0.438708i 0.0693823 0.997590i \(-0.477897\pi\)
−0.829247 + 0.558882i \(0.811231\pi\)
\(278\) 12.6968 7.33050i 0.761503 0.439654i
\(279\) 10.2623 0.379609i 0.614390 0.0227266i
\(280\) 0.206706 10.3936i 0.0123530 0.621138i
\(281\) 1.01731 + 5.76945i 0.0606876 + 0.344177i 0.999999 + 0.00111193i \(0.000353937\pi\)
−0.939312 + 0.343065i \(0.888535\pi\)
\(282\) 8.91185 + 2.21219i 0.530693 + 0.131734i
\(283\) 21.0306 25.0633i 1.25014 1.48986i 0.446451 0.894808i \(-0.352688\pi\)
0.803688 0.595051i \(-0.202868\pi\)
\(284\) −15.7453 −0.934309
\(285\) −12.3071 11.5557i −0.729012 0.684501i
\(286\) 0.148596 0.00878668
\(287\) 2.90332 3.46004i 0.171378 0.204240i
\(288\) 2.22528 2.01200i 0.131126 0.118558i
\(289\) 1.32039 + 7.48829i 0.0776699 + 0.440488i
\(290\) −17.4870 0.347776i −1.02687 0.0204221i
\(291\) 14.4620 10.5301i 0.847779 0.617287i
\(292\) −6.52374 + 3.76648i −0.381773 + 0.220417i
\(293\) 20.8904 + 12.0611i 1.22043 + 0.704616i 0.965010 0.262214i \(-0.0844525\pi\)
0.255421 + 0.966830i \(0.417786\pi\)
\(294\) 25.1709 2.67187i 1.46800 0.155827i
\(295\) −3.82124 + 4.37430i −0.222481 + 0.254682i
\(296\) −4.19005 2.41913i −0.243542 0.140609i
\(297\) 0.517005 0.169759i 0.0299997 0.00985043i
\(298\) −13.8504 5.04115i −0.802334 0.292026i
\(299\) −0.632645 + 3.58791i −0.0365868 + 0.207494i
\(300\) −8.60928 0.938224i −0.497057 0.0541684i
\(301\) −15.6210 + 5.68559i −0.900381 + 0.327712i
\(302\) 13.6437 + 11.4485i 0.785109 + 0.658785i
\(303\) 0.362121 + 0.243710i 0.0208033 + 0.0140007i
\(304\) −4.31524 0.615400i −0.247496 0.0352956i
\(305\) 30.7994 4.80139i 1.76357 0.274927i
\(306\) −14.1618 4.56912i −0.809578 0.261199i
\(307\) −6.04000 + 2.19838i −0.344721 + 0.125468i −0.508578 0.861016i \(-0.669829\pi\)
0.163857 + 0.986484i \(0.447606\pi\)
\(308\) −0.0845445 0.479476i −0.00481737 0.0273207i
\(309\) −18.5857 17.9109i −1.05730 1.01892i
\(310\) −7.51011 1.47878i −0.426546 0.0839891i
\(311\) −6.75652 + 3.90088i −0.383127 + 0.221198i −0.679178 0.733974i \(-0.737664\pi\)
0.296051 + 0.955172i \(0.404330\pi\)
\(312\) 2.20782 1.07965i 0.124993 0.0611232i
\(313\) 20.1201 + 23.9782i 1.13725 + 1.35533i 0.925833 + 0.377933i \(0.123365\pi\)
0.211422 + 0.977395i \(0.432191\pi\)
\(314\) 13.8102 11.5881i 0.779355 0.653957i
\(315\) −0.532916 31.1825i −0.0300264 1.75694i
\(316\) −4.52397 + 2.61191i −0.254493 + 0.146932i
\(317\) −5.96589 + 16.3911i −0.335078 + 0.920618i 0.651691 + 0.758484i \(0.274060\pi\)
−0.986769 + 0.162134i \(0.948162\pi\)
\(318\) 4.39347 + 4.23396i 0.246373 + 0.237428i
\(319\) −0.806702 + 0.142243i −0.0451667 + 0.00796410i
\(320\) −1.95834 + 1.07931i −0.109475 + 0.0603352i
\(321\) −4.69101 16.2959i −0.261827 0.909549i
\(322\) 11.9370 0.665225
\(323\) 8.05871 + 20.0631i 0.448399 + 1.11634i
\(324\) 6.44816 6.27864i 0.358231 0.348813i
\(325\) −6.56505 2.68967i −0.364163 0.149196i
\(326\) 13.6453 4.96647i 0.755742 0.275067i
\(327\) −6.75961 + 15.2247i −0.373807 + 0.841926i
\(328\) −0.956777 0.168706i −0.0528292 0.00931521i
\(329\) 8.42969 23.1604i 0.464744 1.27687i
\(330\) −0.404100 + 0.0347849i −0.0222450 + 0.00191485i
\(331\) −0.121709 0.0702690i −0.00668975 0.00386233i 0.496651 0.867950i \(-0.334563\pi\)
−0.503341 + 0.864088i \(0.667896\pi\)
\(332\) 3.81608 3.20207i 0.209434 0.175736i
\(333\) −12.8298 6.78777i −0.703071 0.371967i
\(334\) −7.29801 + 12.6405i −0.399330 + 0.691659i
\(335\) −9.78819 12.1477i −0.534786 0.663699i
\(336\) −4.73985 6.50969i −0.258580 0.355133i
\(337\) 2.54126 14.4122i 0.138431 0.785083i −0.833977 0.551799i \(-0.813942\pi\)
0.972409 0.233284i \(-0.0749473\pi\)
\(338\) −10.8197 + 1.90781i −0.588515 + 0.103771i
\(339\) −2.33748 0.580233i −0.126954 0.0315139i
\(340\) 9.49326 + 5.73559i 0.514844 + 0.311056i
\(341\) −0.358483 −0.0194129
\(342\) −13.0051 1.36640i −0.703236 0.0738863i
\(343\) 35.3985i 1.91134i
\(344\) 2.73911 + 2.29839i 0.147683 + 0.123921i
\(345\) 0.880553 9.90523i 0.0474074 0.533280i
\(346\) 0.662248 + 3.75580i 0.0356027 + 0.201913i
\(347\) 1.52821 8.66689i 0.0820384 0.465263i −0.915918 0.401365i \(-0.868536\pi\)
0.997956 0.0638975i \(-0.0203531\pi\)
\(348\) −10.9523 + 7.97465i −0.587107 + 0.427486i
\(349\) 3.32939 + 5.76668i 0.178218 + 0.308683i 0.941270 0.337654i \(-0.109633\pi\)
−0.763052 + 0.646337i \(0.776300\pi\)
\(350\) −4.94354 + 22.7137i −0.264243 + 1.21410i
\(351\) 6.49919 3.48157i 0.346901 0.185833i
\(352\) −0.0802233 + 0.0673154i −0.00427592 + 0.00358792i
\(353\) 7.74392 13.4129i 0.412167 0.713895i −0.582959 0.812502i \(-0.698105\pi\)
0.995126 + 0.0986066i \(0.0314386\pi\)
\(354\) −0.309202 + 4.48846i −0.0164339 + 0.238559i
\(355\) 34.5442 + 6.80193i 1.83341 + 0.361009i
\(356\) −3.01358 + 17.0908i −0.159719 + 0.905813i
\(357\) −16.2082 + 36.5056i −0.857827 + 1.93208i
\(358\) −8.21679 22.5754i −0.434271 1.19315i
\(359\) −6.53170 + 7.78418i −0.344730 + 0.410833i −0.910354 0.413830i \(-0.864191\pi\)
0.565624 + 0.824663i \(0.308635\pi\)
\(360\) −5.75131 + 3.45288i −0.303121 + 0.181983i
\(361\) 10.5606 + 15.7947i 0.555823 + 0.831300i
\(362\) −4.43099 −0.232888
\(363\) 18.2908 5.26527i 0.960018 0.276355i
\(364\) −2.25622 6.19891i −0.118258 0.324911i
\(365\) 15.9398 5.44519i 0.834328 0.285014i
\(366\) 16.7547 17.3860i 0.875784 0.908779i
\(367\) 1.30970 3.59838i 0.0683659 0.187834i −0.900805 0.434225i \(-0.857022\pi\)
0.969171 + 0.246391i \(0.0792447\pi\)
\(368\) −1.28380 2.22361i −0.0669228 0.115914i
\(369\) −2.88708 0.399668i −0.150295 0.0208059i
\(370\) 8.14767 + 7.11752i 0.423577 + 0.370022i
\(371\) 12.5459 10.5273i 0.651351 0.546548i
\(372\) −5.32627 + 2.60461i −0.276154 + 0.135043i
\(373\) 5.25856 + 9.10809i 0.272278 + 0.471599i 0.969445 0.245310i \(-0.0788897\pi\)
−0.697167 + 0.716909i \(0.745556\pi\)
\(374\) 0.488128 + 0.177664i 0.0252405 + 0.00918679i
\(375\) 18.4829 + 5.77761i 0.954455 + 0.298354i
\(376\) −5.22087 + 0.920580i −0.269246 + 0.0474753i
\(377\) −10.4295 + 3.79602i −0.537145 + 0.195505i
\(378\) −14.9317 18.9901i −0.768006 0.976745i
\(379\) 30.9672i 1.59068i 0.606164 + 0.795340i \(0.292708\pi\)
−0.606164 + 0.795340i \(0.707292\pi\)
\(380\) 9.20153 + 3.21433i 0.472028 + 0.164892i
\(381\) −3.80347 + 5.65147i −0.194858 + 0.289533i
\(382\) 6.17861 + 5.18447i 0.316125 + 0.265260i
\(383\) −2.05062 5.63403i −0.104782 0.287885i 0.876212 0.481926i \(-0.160063\pi\)
−0.980993 + 0.194041i \(0.937840\pi\)
\(384\) −0.702853 + 1.58303i −0.0358673 + 0.0807839i
\(385\) −0.0216471 + 1.08846i −0.00110324 + 0.0554733i
\(386\) −5.85417 + 16.0842i −0.297969 + 0.818664i
\(387\) 8.46660 + 6.58669i 0.430381 + 0.334820i
\(388\) −5.16425 + 8.94475i −0.262175 + 0.454101i
\(389\) 22.0311 + 26.2557i 1.11702 + 1.33121i 0.937709 + 0.347423i \(0.112943\pi\)
0.179313 + 0.983792i \(0.442613\pi\)
\(390\) −5.31023 + 1.41492i −0.268894 + 0.0716470i
\(391\) −6.36795 + 11.0296i −0.322041 + 0.557791i
\(392\) −12.6562 + 7.30704i −0.639233 + 0.369061i
\(393\) −8.27645 11.3668i −0.417491 0.573381i
\(394\) −23.3440 4.11617i −1.17605 0.207370i
\(395\) 11.0537 3.77604i 0.556170 0.189993i
\(396\) −0.233040 + 0.210704i −0.0117107 + 0.0105883i
\(397\) −15.4770 + 18.4447i −0.776767 + 0.925715i −0.998783 0.0493280i \(-0.984292\pi\)
0.222015 + 0.975043i \(0.428736\pi\)
\(398\) 6.41972i 0.321792i
\(399\) −7.33186 + 34.3256i −0.367052 + 1.71843i
\(400\) 4.76274 1.52194i 0.238137 0.0760969i
\(401\) 9.20553 + 7.72436i 0.459702 + 0.385736i 0.843022 0.537880i \(-0.180775\pi\)
−0.383319 + 0.923616i \(0.625219\pi\)
\(402\) −11.7281 2.91128i −0.584947 0.145202i
\(403\) −4.78337 + 0.843438i −0.238277 + 0.0420146i
\(404\) −0.248181 0.0437610i −0.0123475 0.00217719i
\(405\) −16.8592 + 10.9894i −0.837742 + 0.546066i
\(406\) 18.1825 + 31.4930i 0.902382 + 1.56297i
\(407\) 0.438800 + 0.253341i 0.0217505 + 0.0125577i
\(408\) 8.54336 0.906872i 0.422959 0.0448969i
\(409\) −17.7789 21.1881i −0.879110 1.04768i −0.998495 0.0548348i \(-0.982537\pi\)
0.119385 0.992848i \(-0.461908\pi\)
\(410\) 2.02623 + 0.783456i 0.100068 + 0.0386921i
\(411\) 15.1517 + 1.04377i 0.747376 + 0.0514855i
\(412\) 14.0035 + 5.09686i 0.689904 + 0.251104i
\(413\) 11.8928 + 2.09702i 0.585206 + 0.103188i
\(414\) −4.09537 6.52391i −0.201276 0.320633i
\(415\) −9.75553 + 5.37661i −0.478880 + 0.263927i
\(416\) −0.912071 + 1.08696i −0.0447180 + 0.0532928i
\(417\) −14.1782 + 21.0669i −0.694307 + 1.03165i
\(418\) 0.451909 + 0.0644472i 0.0221036 + 0.00315222i
\(419\) 37.9671i 1.85481i 0.374054 + 0.927407i \(0.377967\pi\)
−0.374054 + 0.927407i \(0.622033\pi\)
\(420\) 7.58678 + 16.3295i 0.370197 + 0.796797i
\(421\) −4.75919 13.0758i −0.231949 0.637274i 0.768046 0.640394i \(-0.221229\pi\)
−0.999995 + 0.00312012i \(0.999007\pi\)
\(422\) 1.19222 + 6.76141i 0.0580363 + 0.329140i
\(423\) −15.5498 + 3.33883i −0.756058 + 0.162339i
\(424\) −3.31029 1.20485i −0.160762 0.0585125i
\(425\) −18.3499 16.6846i −0.890100 0.809323i
\(426\) 24.4992 11.9804i 1.18699 0.580452i
\(427\) −41.6588 49.6470i −2.01601 2.40259i
\(428\) 6.29322 + 7.49996i 0.304194 + 0.362524i
\(429\) −0.231212 + 0.113065i −0.0111630 + 0.00545885i
\(430\) −5.01655 6.22582i −0.241919 0.300236i
\(431\) 18.0503 + 6.56979i 0.869454 + 0.316455i 0.737946 0.674860i \(-0.235796\pi\)
0.131508 + 0.991315i \(0.458018\pi\)
\(432\) −1.93157 + 4.82380i −0.0929325 + 0.232085i
\(433\) 5.83374 + 33.0848i 0.280352 + 1.58995i 0.721431 + 0.692486i \(0.243485\pi\)
−0.441080 + 0.897468i \(0.645404\pi\)
\(434\) 5.44304 + 14.9546i 0.261274 + 0.717845i
\(435\) 27.4738 12.7645i 1.31727 0.612012i
\(436\) 9.61740i 0.460590i
\(437\) −3.48009 + 10.6371i −0.166475 + 0.508842i
\(438\) 7.28487 10.8244i 0.348085 0.517209i
\(439\) −17.0937 + 20.3715i −0.815839 + 0.972279i −0.999944 0.0106276i \(-0.996617\pi\)
0.184105 + 0.982907i \(0.441061\pi\)
\(440\) 0.205085 0.113030i 0.00977706 0.00538847i
\(441\) −37.1322 + 23.3096i −1.76820 + 1.10998i
\(442\) 6.93129 + 1.22217i 0.329688 + 0.0581329i
\(443\) −28.5078 10.3760i −1.35445 0.492979i −0.440115 0.897941i \(-0.645062\pi\)
−0.914333 + 0.404962i \(0.867285\pi\)
\(444\) 8.36030 + 0.575926i 0.396762 + 0.0273323i
\(445\) 13.9948 36.1944i 0.663418 1.71578i
\(446\) −8.95803 10.6758i −0.424175 0.505512i
\(447\) 25.3866 2.69477i 1.20075 0.127458i
\(448\) 4.02623 + 2.32455i 0.190222 + 0.109825i
\(449\) −2.16458 3.74916i −0.102153 0.176934i 0.810419 0.585851i \(-0.199240\pi\)
−0.912571 + 0.408917i \(0.865906\pi\)
\(450\) 14.1097 5.09086i 0.665137 0.239986i
\(451\) 0.100198 + 0.0176675i 0.00471812 + 0.000831932i
\(452\) 1.36938 0.241458i 0.0644100 0.0113572i
\(453\) −29.9403 7.43209i −1.40672 0.349190i
\(454\) −1.21689 1.02109i −0.0571116 0.0479223i
\(455\) 2.27209 + 14.5747i 0.106517 + 0.683274i
\(456\) 7.18264 2.32588i 0.336358 0.108919i
\(457\) 24.4038i 1.14156i 0.821103 + 0.570781i \(0.193359\pi\)
−0.821103 + 0.570781i \(0.806641\pi\)
\(458\) 10.8722 12.9569i 0.508023 0.605438i
\(459\) 25.5120 3.66618i 1.19080 0.171123i
\(460\) 1.85599 + 5.43307i 0.0865360 + 0.253318i
\(461\) −34.5470 6.09156i −1.60901 0.283712i −0.704353 0.709849i \(-0.748763\pi\)
−0.904659 + 0.426137i \(0.859874\pi\)
\(462\) 0.496377 + 0.681721i 0.0230935 + 0.0317165i
\(463\) −13.9124 + 8.03232i −0.646563 + 0.373294i −0.787138 0.616776i \(-0.788438\pi\)
0.140575 + 0.990070i \(0.455105\pi\)
\(464\) 3.91098 6.77401i 0.181563 0.314476i
\(465\) 12.8107 3.41343i 0.594083 0.158294i
\(466\) 9.37839 + 11.1767i 0.434446 + 0.517752i
\(467\) 11.8739 20.5661i 0.549457 0.951687i −0.448855 0.893605i \(-0.648168\pi\)
0.998312 0.0580824i \(-0.0184986\pi\)
\(468\) −2.61380 + 3.35981i −0.120823 + 0.155307i
\(469\) −11.0936 + 30.4795i −0.512256 + 1.40741i
\(470\) 11.8520 + 0.235709i 0.546691 + 0.0108725i
\(471\) −12.6710 + 28.5389i −0.583848 + 1.31500i
\(472\) −0.888415 2.44090i −0.0408926 0.112352i
\(473\) −0.286851 0.240696i −0.0131894 0.0110672i
\(474\) 5.05179 7.50631i 0.232036 0.344776i
\(475\) −18.7990 11.0271i −0.862558 0.505958i
\(476\) 23.0605i 1.05698i
\(477\) −10.0577 3.24497i −0.460510 0.148577i
\(478\) −17.0073 + 6.19015i −0.777895 + 0.283131i
\(479\) 28.3407 4.99723i 1.29492 0.228329i 0.516616 0.856217i \(-0.327191\pi\)
0.778304 + 0.627888i \(0.216080\pi\)
\(480\) 2.22589 3.16945i 0.101597 0.144665i
\(481\) 6.45114 + 2.34802i 0.294147 + 0.107061i
\(482\) −11.7886 20.4185i −0.536958 0.930039i
\(483\) −18.5737 + 9.08277i −0.845132 + 0.413280i
\(484\) −8.41809 + 7.06361i −0.382640 + 0.321073i
\(485\) 15.1942 17.3933i 0.689932 0.789789i
\(486\) −5.25580 + 14.6757i −0.238408 + 0.665704i
\(487\) 7.34528 + 12.7224i 0.332847 + 0.576507i 0.983069 0.183237i \(-0.0586575\pi\)
−0.650222 + 0.759744i \(0.725324\pi\)
\(488\) −4.76785 + 13.0996i −0.215830 + 0.592989i
\(489\) −17.4527 + 18.1102i −0.789239 + 0.818973i
\(490\) 30.9235 10.5638i 1.39698 0.477222i
\(491\) −6.21043 17.0630i −0.280273 0.770043i −0.997330 0.0730283i \(-0.976734\pi\)
0.717057 0.697014i \(-0.245489\pi\)
\(492\) 1.61708 0.465501i 0.0729037 0.0209864i
\(493\) −38.7986 −1.74740
\(494\) 6.18164 0.203308i 0.278125 0.00914726i
\(495\) 0.602301 0.361600i 0.0270714 0.0162527i
\(496\) 2.20034 2.62226i 0.0987980 0.117743i
\(497\) −25.0363 68.7866i −1.12303 3.08550i
\(498\) −3.50128 + 7.88594i −0.156896 + 0.353377i
\(499\) −1.06610 + 6.04615i −0.0477251 + 0.270663i −0.999327 0.0366694i \(-0.988325\pi\)
0.951602 + 0.307332i \(0.0994362\pi\)
\(500\) −11.1066 + 1.28155i −0.496704 + 0.0573125i
\(501\) 1.73745 25.2213i 0.0776236 1.12680i
\(502\) −5.21811 + 9.03804i −0.232896 + 0.403387i
\(503\) −2.08015 + 1.74545i −0.0927493 + 0.0778259i −0.687983 0.725727i \(-0.741504\pi\)
0.595234 + 0.803552i \(0.297059\pi\)
\(504\) 12.3282 + 6.52238i 0.549143 + 0.290530i
\(505\) 0.525589 + 0.203223i 0.0233884 + 0.00904329i
\(506\) 0.134445 + 0.232866i 0.00597681 + 0.0103521i
\(507\) 15.3835 11.2011i 0.683207 0.497459i
\(508\) 0.682958 3.87325i 0.0303014 0.171848i
\(509\) −3.05486 17.3250i −0.135404 0.767917i −0.974577 0.224052i \(-0.928071\pi\)
0.839173 0.543865i \(-0.183040\pi\)
\(510\) −19.1354 1.70110i −0.847330 0.0753258i
\(511\) −26.8280 22.5114i −1.18680 0.995843i
\(512\) 1.00000i 0.0441942i
\(513\) 21.2753 7.76938i 0.939326 0.343027i
\(514\) −9.34242 −0.412076
\(515\) −28.5211 17.2317i −1.25679 0.759320i
\(516\) −6.01080 1.49206i −0.264611 0.0656844i
\(517\) 0.546751 0.0964070i 0.0240461 0.00423997i
\(518\) 3.90596 22.1518i 0.171618 0.973294i
\(519\) −3.88819 5.34001i −0.170672 0.234401i
\(520\) 2.47060 1.99072i 0.108343 0.0872989i
\(521\) 4.11931 7.13485i 0.180470 0.312584i −0.761571 0.648082i \(-0.775571\pi\)
0.942041 + 0.335498i \(0.108905\pi\)
\(522\) 10.9737 20.7419i 0.480306 0.907846i
\(523\) −11.6036 + 9.73660i −0.507391 + 0.425752i −0.860210 0.509940i \(-0.829668\pi\)
0.352819 + 0.935692i \(0.385223\pi\)
\(524\) 7.03037 + 4.05898i 0.307123 + 0.177318i
\(525\) −9.59064 39.1034i −0.418570 1.70661i
\(526\) 4.41912 12.1414i 0.192683 0.529391i
\(527\) −16.7215 2.94844i −0.728398 0.128436i
\(528\) 0.0736056 0.165782i 0.00320327 0.00721473i
\(529\) 15.4179 5.61166i 0.670344 0.243985i
\(530\) 6.74208 + 4.07340i 0.292857 + 0.176937i
\(531\) −2.93411 7.21918i −0.127330 0.313286i
\(532\) −4.17308 19.8306i −0.180926 0.859766i
\(533\) 1.37854 0.0597113
\(534\) −8.31521 28.8859i −0.359834 1.25001i
\(535\) −10.5670 19.1731i −0.456850 0.828927i
\(536\) 6.87076 1.21150i 0.296771 0.0523288i
\(537\) 29.9625 + 28.8747i 1.29298 + 1.24603i
\(538\) −9.49400 + 26.0845i −0.409315 + 1.12458i
\(539\) 1.32540 0.765223i 0.0570892 0.0329605i
\(540\) 6.32161 9.74870i 0.272039 0.419517i
\(541\) −22.8092 + 19.1392i −0.980642 + 0.822856i −0.984186 0.177137i \(-0.943316\pi\)
0.00354414 + 0.999994i \(0.498872\pi\)
\(542\) 3.38219 + 4.03074i 0.145278 + 0.173135i
\(543\) 6.89449 3.37150i 0.295871 0.144685i
\(544\) −4.29568 + 2.48011i −0.184176 + 0.106334i
\(545\) −4.15470 + 21.1000i −0.177968 + 0.903825i
\(546\) 8.22730 + 7.92860i 0.352096 + 0.339313i
\(547\) 2.67401 + 15.1651i 0.114332 + 0.648411i 0.987079 + 0.160237i \(0.0512258\pi\)
−0.872746 + 0.488174i \(0.837663\pi\)
\(548\) −8.23974 + 2.99902i −0.351984 + 0.128112i
\(549\) −12.8411 + 39.8006i −0.548044 + 1.69865i
\(550\) −0.498774 + 0.159384i −0.0212678 + 0.00679614i
\(551\) −33.3644 + 7.02108i −1.42137 + 0.299108i
\(552\) 3.68948 + 2.48304i 0.157035 + 0.105685i
\(553\) −18.6042 15.6108i −0.791132 0.663838i
\(554\) −13.7224 + 4.99456i −0.583011 + 0.212199i
\(555\) −18.0932 4.87518i −0.768013 0.206940i
\(556\) 2.54586 14.4383i 0.107968 0.612319i
\(557\) 5.29473 + 1.92712i 0.224345 + 0.0816549i 0.451747 0.892146i \(-0.350801\pi\)
−0.227402 + 0.973801i \(0.573023\pi\)
\(558\) 6.30570 8.10541i 0.266942 0.343129i
\(559\) −4.39387 2.53680i −0.185841 0.107295i
\(560\) −7.82912 6.83925i −0.330841 0.289011i
\(561\) −0.894696 + 0.0949714i −0.0377741 + 0.00400969i
\(562\) 5.07357 + 2.92923i 0.214016 + 0.123562i
\(563\) 18.1001 10.4501i 0.762827 0.440418i −0.0674831 0.997720i \(-0.521497\pi\)
0.830310 + 0.557302i \(0.188164\pi\)
\(564\) 7.42307 5.40490i 0.312567 0.227588i
\(565\) −3.10864 0.0618238i −0.130781 0.00260095i
\(566\) −5.68139 32.2208i −0.238807 1.35434i
\(567\) 37.6827 + 18.1866i 1.58253 + 0.763766i
\(568\) −10.1209 + 12.0616i −0.424662 + 0.506092i
\(569\) 17.8675 0.749045 0.374522 0.927218i \(-0.377807\pi\)
0.374522 + 0.927218i \(0.377807\pi\)
\(570\) −16.7631 + 1.99994i −0.702127 + 0.0837685i
\(571\) 43.7370 1.83034 0.915169 0.403070i \(-0.132057\pi\)
0.915169 + 0.403070i \(0.132057\pi\)
\(572\) 0.0955159 0.113831i 0.00399372 0.00475953i
\(573\) −13.5585 3.36564i −0.566416 0.140602i
\(574\) −0.784328 4.44814i −0.0327372 0.185662i
\(575\) −1.72485 12.7216i −0.0719314 0.530529i
\(576\) −0.110896 2.99795i −0.00462066 0.124915i
\(577\) 9.66319 5.57905i 0.402284 0.232259i −0.285185 0.958472i \(-0.592055\pi\)
0.687469 + 0.726214i \(0.258722\pi\)
\(578\) 6.58509 + 3.80191i 0.273904 + 0.158138i
\(579\) −3.12938 29.4809i −0.130053 1.22519i
\(580\) −11.5068 + 13.1722i −0.477795 + 0.546948i
\(581\) 20.0568 + 11.5798i 0.832097 + 0.480411i
\(582\) 1.22946 17.8472i 0.0509629 0.739790i
\(583\) 0.346667 + 0.126176i 0.0143575 + 0.00522569i
\(584\) −1.30808 + 7.41852i −0.0541289 + 0.306980i
\(585\) 7.18597 6.24206i 0.297103 0.258078i
\(586\) 22.6674 8.25027i 0.936383 0.340816i
\(587\) −15.8043 13.2614i −0.652313 0.547356i 0.255459 0.966820i \(-0.417774\pi\)
−0.907772 + 0.419464i \(0.862218\pi\)
\(588\) 14.1328 20.9995i 0.582826 0.866004i
\(589\) −14.9130 + 0.490473i −0.614477 + 0.0202096i
\(590\) 0.894665 + 5.73899i 0.0368328 + 0.236270i
\(591\) 39.4545 11.3575i 1.62294 0.467187i
\(592\) −4.54648 + 1.65478i −0.186859 + 0.0680111i
\(593\) −4.71813 26.7579i −0.193751 1.09881i −0.914187 0.405293i \(-0.867170\pi\)
0.720436 0.693521i \(-0.243942\pi\)
\(594\) 0.202281 0.505168i 0.00829971 0.0207273i
\(595\) −9.96212 + 50.5935i −0.408407 + 2.07413i
\(596\) −12.7646 + 7.36966i −0.522860 + 0.301873i
\(597\) −4.88470 9.98891i −0.199918 0.408819i
\(598\) 2.34184 + 2.79090i 0.0957649 + 0.114128i
\(599\) −30.3008 + 25.4254i −1.23806 + 1.03885i −0.240382 + 0.970678i \(0.577273\pi\)
−0.997673 + 0.0681734i \(0.978283\pi\)
\(600\) −6.25266 + 5.99201i −0.255264 + 0.244623i
\(601\) 23.4964 13.5657i 0.958440 0.553355i 0.0627471 0.998029i \(-0.480014\pi\)
0.895692 + 0.444674i \(0.146681\pi\)
\(602\) −5.68559 + 15.6210i −0.231727 + 0.636666i
\(603\) 20.4638 4.39395i 0.833352 0.178936i
\(604\) 17.5401 3.09279i 0.713695 0.125844i
\(605\) 21.5203 11.8606i 0.874923 0.482200i
\(606\) 0.419459 0.120747i 0.0170394 0.00490503i
\(607\) 39.3335 1.59650 0.798249 0.602327i \(-0.205760\pi\)
0.798249 + 0.602327i \(0.205760\pi\)
\(608\) −3.24521 + 2.91009i −0.131610 + 0.118020i
\(609\) −52.2542 35.1674i −2.11745 1.42505i
\(610\) 16.1194 26.6800i 0.652654 1.08024i
\(611\) 7.06869 2.57279i 0.285968 0.104084i
\(612\) −12.6032 + 7.91162i −0.509454 + 0.319808i
\(613\) 5.75767 + 1.01523i 0.232550 + 0.0410049i 0.288709 0.957417i \(-0.406774\pi\)
−0.0561585 + 0.998422i \(0.517885\pi\)
\(614\) −2.19838 + 6.04000i −0.0887195 + 0.243755i
\(615\) −3.74888 + 0.322703i −0.151169 + 0.0130126i
\(616\) −0.421644 0.243436i −0.0169885 0.00980832i
\(617\) 18.0654 15.1587i 0.727286 0.610265i −0.202104 0.979364i \(-0.564778\pi\)
0.929390 + 0.369099i \(0.120334\pi\)
\(618\) −25.6672 + 2.72456i −1.03249 + 0.109598i
\(619\) 8.89449 15.4057i 0.357500 0.619208i −0.630043 0.776561i \(-0.716963\pi\)
0.987542 + 0.157353i \(0.0502959\pi\)
\(620\) −5.96022 + 4.80254i −0.239368 + 0.192875i
\(621\) 11.3362 + 7.03489i 0.454908 + 0.282300i
\(622\) −1.35476 + 7.68323i −0.0543210 + 0.308069i
\(623\) −79.4569 + 14.0104i −3.18337 + 0.561315i
\(624\) 0.592097 2.38527i 0.0237028 0.0954873i
\(625\) 24.9210 + 1.98642i 0.996838 + 0.0794567i
\(626\) 31.3013 1.25105
\(627\) −0.752195 + 0.243575i −0.0300398 + 0.00972746i
\(628\) 18.0279i 0.719393i
\(629\) 18.3842 + 15.4262i 0.733025 + 0.615081i
\(630\) −24.2297 19.6355i −0.965336 0.782297i
\(631\) −1.34554 7.63096i −0.0535652 0.303784i 0.946241 0.323462i \(-0.104847\pi\)
−0.999806 + 0.0196786i \(0.993736\pi\)
\(632\) −0.907108 + 5.14447i −0.0360828 + 0.204636i
\(633\) −6.99975 9.61341i −0.278215 0.382099i
\(634\) 8.72155 + 15.1062i 0.346377 + 0.599942i
\(635\) −3.17161 + 8.20264i −0.125861 + 0.325512i
\(636\) 6.06746 0.644057i 0.240591 0.0255385i
\(637\) 15.8850 13.3291i 0.629386 0.528117i
\(638\) −0.409574 + 0.709402i −0.0162152 + 0.0280855i
\(639\) −29.0042 + 37.2823i −1.14739 + 1.47487i
\(640\) −0.431998 + 2.19394i −0.0170762 + 0.0867231i
\(641\) 6.12309 34.7258i 0.241847 1.37159i −0.585854 0.810417i \(-0.699241\pi\)
0.827702 0.561169i \(-0.189648\pi\)
\(642\) −15.4987 6.88128i −0.611685 0.271583i
\(643\) 7.08140 + 19.4560i 0.279263 + 0.767269i 0.997447 + 0.0714154i \(0.0227516\pi\)
−0.718184 + 0.695854i \(0.755026\pi\)
\(644\) 7.67298 9.14430i 0.302358 0.360336i
\(645\) 12.5428 + 5.87015i 0.493871 + 0.231137i
\(646\) 20.5493 + 6.72301i 0.808501 + 0.264513i
\(647\) 39.3673 1.54769 0.773843 0.633377i \(-0.218332\pi\)
0.773843 + 0.633377i \(0.218332\pi\)
\(648\) −0.664920 8.97540i −0.0261205 0.352587i
\(649\) 0.0930385 + 0.255621i 0.00365208 + 0.0100340i
\(650\) −6.28033 + 3.30023i −0.246335 + 0.129446i
\(651\) −19.8480 19.1274i −0.777906 0.749663i
\(652\) 4.96647 13.6453i 0.194502 0.534390i
\(653\) 10.7121 + 18.5539i 0.419196 + 0.726069i 0.995859 0.0909135i \(-0.0289787\pi\)
−0.576663 + 0.816982i \(0.695645\pi\)
\(654\) 7.31778 + 14.9644i 0.286148 + 0.585154i
\(655\) −13.6707 11.9423i −0.534160 0.466624i
\(656\) −0.744240 + 0.624492i −0.0290577 + 0.0243823i
\(657\) −3.09889 + 22.3854i −0.120899 + 0.873338i
\(658\) −12.3234 21.3447i −0.480415 0.832104i
\(659\) −2.57407 0.936884i −0.100271 0.0364958i 0.291397 0.956602i \(-0.405880\pi\)
−0.391669 + 0.920106i \(0.628102\pi\)
\(660\) −0.233104 + 0.331918i −0.00907356 + 0.0129199i
\(661\) −35.3289 + 6.22944i −1.37413 + 0.242297i −0.811473 0.584390i \(-0.801334\pi\)
−0.562662 + 0.826687i \(0.690223\pi\)
\(662\) −0.132062 + 0.0480668i −0.00513275 + 0.00186817i
\(663\) −11.7148 + 3.37228i −0.454966 + 0.130968i
\(664\) 4.98153i 0.193321i
\(665\) 0.588703 + 45.3099i 0.0228289 + 1.75704i
\(666\) −13.4466 + 5.46514i −0.521045 + 0.211770i
\(667\) −15.3850 12.9095i −0.595710 0.499860i
\(668\) 4.99213 + 13.7158i 0.193152 + 0.530679i
\(669\) 22.0615 + 9.79512i 0.852948 + 0.378701i
\(670\) −15.5974 0.310197i −0.602580 0.0119840i
\(671\) 0.499309 1.37184i 0.0192756 0.0529593i
\(672\) −8.03343 0.553409i −0.309896 0.0213482i
\(673\) 6.79756 11.7737i 0.262027 0.453843i −0.704754 0.709452i \(-0.748943\pi\)
0.966780 + 0.255609i \(0.0822759\pi\)
\(674\) −9.40690 11.2107i −0.362340 0.431821i
\(675\) −18.0807 + 18.6571i −0.695925 + 0.718114i
\(676\) −5.49332 + 9.51470i −0.211281 + 0.365950i
\(677\) −20.5592 + 11.8699i −0.790155 + 0.456196i −0.840017 0.542560i \(-0.817455\pi\)
0.0498619 + 0.998756i \(0.484122\pi\)
\(678\) −1.94699 + 1.41764i −0.0747735 + 0.0544443i
\(679\) −47.2887 8.33827i −1.81477 0.319993i
\(680\) 10.4959 3.58549i 0.402498 0.137497i
\(681\) 2.67039 + 0.662872i 0.102330 + 0.0254013i
\(682\) −0.230428 + 0.274614i −0.00882355 + 0.0105155i
\(683\) 10.3244i 0.395053i 0.980298 + 0.197527i \(0.0632909\pi\)
−0.980298 + 0.197527i \(0.936709\pi\)
\(684\) −9.40625 + 9.08419i −0.359657 + 0.347343i
\(685\) 19.3731 3.02012i 0.740207 0.115393i
\(686\) −27.1169 22.7537i −1.03533 0.868742i
\(687\) −7.05798 + 28.4332i −0.269279 + 1.08479i
\(688\) 3.52133 0.620906i 0.134250 0.0236718i
\(689\) 4.92258 + 0.867983i 0.187535 + 0.0330675i
\(690\) −7.02184 7.04150i −0.267317 0.268065i
\(691\) −21.6242 37.4542i −0.822624 1.42483i −0.903722 0.428120i \(-0.859176\pi\)
0.0810981 0.996706i \(-0.474157\pi\)
\(692\) 3.30279 + 1.90687i 0.125553 + 0.0724882i
\(693\) −1.29106 0.683051i −0.0490434 0.0259469i
\(694\) −5.65691 6.74164i −0.214733 0.255909i
\(695\) −11.8228 + 30.5769i −0.448463 + 1.15985i
\(696\) −0.931093 + 13.5160i −0.0352930 + 0.512322i
\(697\) 4.52841 + 1.64821i 0.171526 + 0.0624303i
\(698\) 6.55762 + 1.15629i 0.248210 + 0.0437661i
\(699\) −23.0968 10.2548i −0.873600 0.387870i
\(700\) 14.2221 + 18.3871i 0.537544 + 0.694966i
\(701\) −23.1763 + 27.6204i −0.875355 + 1.04321i 0.123351 + 0.992363i \(0.460636\pi\)
−0.998707 + 0.0508447i \(0.983809\pi\)
\(702\) 1.51056 7.21658i 0.0570124 0.272372i
\(703\) 18.6008 + 9.93868i 0.701541 + 0.374844i
\(704\) 0.104724i 0.00394694i
\(705\) −18.6207 + 8.65129i −0.701295 + 0.325826i
\(706\) −5.29715 14.5538i −0.199361 0.547740i
\(707\) −0.203449 1.15382i −0.00765148 0.0433937i
\(708\) 3.23960 + 3.12199i 0.121752 + 0.117331i
\(709\) 20.4424 + 7.44043i 0.767731 + 0.279431i 0.696047 0.717996i \(-0.254940\pi\)
0.0716841 + 0.997427i \(0.477163\pi\)
\(710\) 27.4151 22.0902i 1.02887 0.829029i
\(711\) −2.14897 + 15.5234i −0.0805925 + 0.582175i
\(712\) 11.1553 + 13.2943i 0.418061 + 0.498225i
\(713\) −5.64960 6.73293i −0.211579 0.252150i
\(714\) 17.5465 + 35.8815i 0.656662 + 1.34283i
\(715\) −0.258731 + 0.208477i −0.00967600 + 0.00779658i
\(716\) −22.5754 8.21679i −0.843684 0.307076i
\(717\) 21.7528 22.5724i 0.812375 0.842981i
\(718\) 1.76453 + 10.0071i 0.0658517 + 0.373463i
\(719\) 3.97741 + 10.9278i 0.148332 + 0.407539i 0.991499 0.130112i \(-0.0415338\pi\)
−0.843167 + 0.537652i \(0.819312\pi\)
\(720\) −1.05181 + 6.62523i −0.0391987 + 0.246908i
\(721\) 69.2819i 2.58019i
\(722\) 18.8877 + 2.06272i 0.702927 + 0.0767664i
\(723\) 33.8790 + 22.8008i 1.25998 + 0.847971i
\(724\) −2.84819 + 3.39434i −0.105852 + 0.126149i
\(725\) 30.9357 23.9282i 1.14892 0.888671i
\(726\) 7.72367 17.3960i 0.286652 0.645627i
\(727\) 17.0160 + 3.00037i 0.631087 + 0.111278i 0.480037 0.877248i \(-0.340623\pi\)
0.151051 + 0.988526i \(0.451734\pi\)
\(728\) −6.19891 2.25622i −0.229747 0.0836211i
\(729\) −2.98873 26.8341i −0.110694 0.993855i
\(730\) 6.07465 15.7107i 0.224833 0.581479i
\(731\) −11.4005 13.5866i −0.421663 0.502519i
\(732\) −2.54868 24.0104i −0.0942020 0.887448i
\(733\) −18.0954 10.4474i −0.668370 0.385883i 0.127089 0.991891i \(-0.459437\pi\)
−0.795459 + 0.606008i \(0.792770\pi\)
\(734\) −1.91466 3.31628i −0.0706713 0.122406i
\(735\) −40.0782 + 39.9663i −1.47831 + 1.47418i
\(736\) −2.52860 0.445860i −0.0932054 0.0164346i
\(737\) −0.719534 + 0.126873i −0.0265044 + 0.00467343i
\(738\) −2.16194 + 1.95473i −0.0795821 + 0.0719545i
\(739\) −16.6566 13.9765i −0.612721 0.514134i 0.282785 0.959183i \(-0.408742\pi\)
−0.895506 + 0.445049i \(0.853186\pi\)
\(740\) 10.6896 1.66642i 0.392956 0.0612589i
\(741\) −9.46375 + 5.01988i −0.347660 + 0.184410i
\(742\) 16.3775i 0.601238i
\(743\) 10.9830 13.0890i 0.402927 0.480190i −0.525983 0.850495i \(-0.676303\pi\)
0.928910 + 0.370305i \(0.120747\pi\)
\(744\) −1.42841 + 5.75437i −0.0523681 + 0.210966i
\(745\) 31.1885 10.6543i 1.14266 0.390344i
\(746\) 10.3573 + 1.82628i 0.379209 + 0.0668648i
\(747\) −0.552431 14.9344i −0.0202124 0.546421i
\(748\) 0.449861 0.259727i 0.0164486 0.00949658i
\(749\) −22.7585 + 39.4189i −0.831577 + 1.44033i
\(750\) 16.3065 10.4450i 0.595430 0.381397i
\(751\) 3.26720 + 3.89370i 0.119222 + 0.142083i 0.822354 0.568976i \(-0.192660\pi\)
−0.703132 + 0.711059i \(0.748216\pi\)
\(752\) −2.65071 + 4.59116i −0.0966613 + 0.167422i
\(753\) 1.24229 18.0333i 0.0452714 0.657171i
\(754\) −3.79602 + 10.4295i −0.138243 + 0.379819i
\(755\) −39.8179 0.791889i −1.44912 0.0288198i
\(756\) −24.1452 0.768219i −0.878152 0.0279398i
\(757\) −7.50444 20.6183i −0.272754 0.749385i −0.998135 0.0610378i \(-0.980559\pi\)
0.725382 0.688347i \(-0.241663\pi\)
\(758\) 23.7223 + 19.9053i 0.861632 + 0.722995i
\(759\) −0.386378 0.260035i −0.0140246 0.00943866i
\(760\) 8.37695 4.98265i 0.303864 0.180740i
\(761\) 42.6627i 1.54652i −0.634089 0.773260i \(-0.718625\pi\)
0.634089 0.773260i \(-0.281375\pi\)
\(762\) 1.88445 + 6.54632i 0.0682665 + 0.237148i
\(763\) 42.0157 15.2925i 1.52107 0.553624i
\(764\) 7.94306 1.40058i 0.287370 0.0506711i
\(765\) 31.0685 11.9131i 1.12328 0.430718i
\(766\) −5.63403 2.05062i −0.203566 0.0740918i
\(767\) 1.84287 + 3.19195i 0.0665423 + 0.115255i
\(768\) 0.760890 + 1.55597i 0.0274562 + 0.0561463i
\(769\) −5.51613 + 4.62858i −0.198917 + 0.166911i −0.736805 0.676105i \(-0.763667\pi\)
0.537889 + 0.843016i \(0.319222\pi\)
\(770\) 0.819897 + 0.716234i 0.0295471 + 0.0258113i
\(771\) 14.5365 7.10855i 0.523521 0.256008i
\(772\) 8.55822 + 14.8233i 0.308017 + 0.533501i
\(773\) −0.874302 + 2.40212i −0.0314465 + 0.0863984i −0.954422 0.298459i \(-0.903527\pi\)
0.922976 + 0.384858i \(0.125749\pi\)