Properties

Label 64.2.i.a.13.2
Level $64$
Weight $2$
Character 64.13
Analytic conductor $0.511$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 64 = 2^{6} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 64.i (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.511042572936\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(7\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 13.2
Character \(\chi\) \(=\) 64.13
Dual form 64.2.i.a.5.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.20609 - 0.738481i) q^{2} +(2.51381 - 1.67967i) q^{3} +(0.909293 + 1.78134i) q^{4} +(-2.28487 + 0.454489i) q^{5} +(-4.27227 + 0.169433i) q^{6} +(0.303950 + 0.733799i) q^{7} +(0.218802 - 2.81995i) q^{8} +(2.34987 - 5.67309i) q^{9} +O(q^{10})\) \(q+(-1.20609 - 0.738481i) q^{2} +(2.51381 - 1.67967i) q^{3} +(0.909293 + 1.78134i) q^{4} +(-2.28487 + 0.454489i) q^{5} +(-4.27227 + 0.169433i) q^{6} +(0.303950 + 0.733799i) q^{7} +(0.218802 - 2.81995i) q^{8} +(2.34987 - 5.67309i) q^{9} +(3.09139 + 1.13918i) q^{10} +(-2.41516 + 3.61454i) q^{11} +(5.27786 + 2.95064i) q^{12} +(-0.174791 - 0.0347682i) q^{13} +(0.175307 - 1.10949i) q^{14} +(-4.98033 + 4.98033i) q^{15} +(-2.34637 + 3.23953i) q^{16} +(0.422266 + 0.422266i) q^{17} +(-7.02362 + 5.10691i) q^{18} +(-0.424489 + 2.13405i) q^{19} +(-2.88722 - 3.65688i) q^{20} +(1.99661 + 1.33409i) q^{21} +(5.58216 - 2.57590i) q^{22} +(6.39382 + 2.64841i) q^{23} +(-4.18656 - 7.45632i) q^{24} +(0.394679 - 0.163481i) q^{25} +(0.185138 + 0.171014i) q^{26} +(-1.85234 - 9.31236i) q^{27} +(-1.03077 + 1.20868i) q^{28} +(-5.22657 - 7.82211i) q^{29} +(9.68459 - 2.32883i) q^{30} -1.80802i q^{31} +(5.22226 - 2.17440i) q^{32} +13.1429i q^{33} +(-0.197454 - 0.821125i) q^{34} +(-1.02799 - 1.53849i) q^{35} +(12.2425 - 0.972570i) q^{36} +(-0.559507 - 2.81283i) q^{37} +(2.08792 - 2.26037i) q^{38} +(-0.497791 + 0.206192i) q^{39} +(0.781702 + 6.54267i) q^{40} +(-4.83885 - 2.00432i) q^{41} +(-1.42289 - 3.08349i) q^{42} +(-6.27110 - 4.19021i) q^{43} +(-8.63483 - 1.01555i) q^{44} +(-2.79080 + 14.0303i) q^{45} +(-5.75571 - 7.91592i) q^{46} +(2.42967 + 2.42967i) q^{47} +(-0.456990 + 12.0847i) q^{48} +(4.50367 - 4.50367i) q^{49} +(-0.596745 - 0.0942900i) q^{50} +(1.77076 + 0.352226i) q^{51} +(-0.0970024 - 0.342978i) q^{52} +(-0.350569 + 0.524664i) q^{53} +(-4.64291 + 12.5994i) q^{54} +(3.87556 - 9.35642i) q^{55} +(2.13578 - 0.696566i) q^{56} +(2.51742 + 6.07759i) q^{57} +(0.527218 + 13.2939i) q^{58} +(8.25271 - 1.64157i) q^{59} +(-13.4003 - 4.34310i) q^{60} +(-2.67124 + 1.78487i) q^{61} +(-1.33519 + 2.18063i) q^{62} +4.87715 q^{63} +(-7.90425 - 1.23402i) q^{64} +0.415178 q^{65} +(9.70580 - 15.8515i) q^{66} +(0.879840 - 0.587891i) q^{67} +(-0.368238 + 1.13616i) q^{68} +(20.5213 - 4.08194i) q^{69} +(0.103696 + 2.61471i) q^{70} +(-0.458776 - 1.10758i) q^{71} +(-15.4837 - 7.86781i) q^{72} +(-0.783268 + 1.89098i) q^{73} +(-1.40241 + 3.80570i) q^{74} +(0.717551 - 1.07389i) q^{75} +(-4.18746 + 1.18431i) q^{76} +(-3.38643 - 0.673603i) q^{77} +(0.752647 + 0.118924i) q^{78} +(-5.97434 + 5.97434i) q^{79} +(3.88883 - 8.46830i) q^{80} +(-7.27213 - 7.27213i) q^{81} +(4.35592 + 5.99077i) q^{82} +(-1.56393 + 7.86242i) q^{83} +(-0.560975 + 4.76973i) q^{84} +(-1.15674 - 0.772908i) q^{85} +(4.46910 + 9.68485i) q^{86} +(-26.2772 - 10.8844i) q^{87} +(9.66439 + 7.60150i) q^{88} +(6.64632 - 2.75300i) q^{89} +(13.7270 - 14.8608i) q^{90} +(-0.0276149 - 0.138830i) q^{91} +(1.09613 + 13.7978i) q^{92} +(-3.03687 - 4.54500i) q^{93} +(-1.13613 - 4.72465i) q^{94} -5.06895i q^{95} +(9.47547 - 14.2377i) q^{96} -9.60392i q^{97} +(-8.75770 + 2.10595i) q^{98} +(14.8303 + 22.1951i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{2} - 8q^{3} - 8q^{4} - 8q^{5} - 8q^{6} - 8q^{7} - 8q^{8} - 8q^{9} + O(q^{10}) \) \( 56q - 8q^{2} - 8q^{3} - 8q^{4} - 8q^{5} - 8q^{6} - 8q^{7} - 8q^{8} - 8q^{9} - 8q^{10} - 8q^{11} - 8q^{12} - 8q^{13} - 8q^{14} - 8q^{15} - 8q^{16} - 8q^{17} - 8q^{18} - 8q^{19} - 8q^{20} - 8q^{21} - 8q^{23} + 32q^{24} - 8q^{25} + 32q^{26} - 8q^{27} + 32q^{28} - 8q^{29} + 72q^{30} + 32q^{32} + 32q^{34} - 8q^{35} + 72q^{36} - 8q^{37} + 32q^{38} - 8q^{39} + 32q^{40} - 8q^{41} + 32q^{42} - 8q^{43} - 8q^{45} - 8q^{46} - 8q^{47} - 8q^{48} - 8q^{49} - 32q^{50} + 24q^{51} - 56q^{52} - 8q^{53} - 72q^{54} + 56q^{55} - 64q^{56} - 8q^{57} - 80q^{58} + 56q^{59} - 104q^{60} - 8q^{61} - 40q^{62} + 64q^{63} - 104q^{64} - 16q^{65} - 88q^{66} + 72q^{67} - 56q^{68} - 8q^{69} - 104q^{70} + 56q^{71} - 80q^{72} - 8q^{73} - 64q^{74} + 56q^{75} - 72q^{76} - 8q^{77} - 32q^{78} + 24q^{79} + 32q^{80} - 8q^{81} + 72q^{82} - 8q^{83} + 104q^{84} - 8q^{85} + 96q^{86} - 8q^{87} + 72q^{88} - 8q^{89} + 136q^{90} - 8q^{91} + 144q^{92} + 16q^{93} + 88q^{94} + 128q^{96} + 128q^{98} + 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/64\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(63\)
\(\chi(n)\) \(e\left(\frac{15}{16}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.20609 0.738481i −0.852832 0.522185i
\(3\) 2.51381 1.67967i 1.45135 0.969758i 0.454471 0.890761i \(-0.349828\pi\)
0.996875 0.0789971i \(-0.0251718\pi\)
\(4\) 0.909293 + 1.78134i 0.454646 + 0.890672i
\(5\) −2.28487 + 0.454489i −1.02183 + 0.203254i −0.677443 0.735576i \(-0.736912\pi\)
−0.344383 + 0.938829i \(0.611912\pi\)
\(6\) −4.27227 + 0.169433i −1.74415 + 0.0691707i
\(7\) 0.303950 + 0.733799i 0.114882 + 0.277350i 0.970854 0.239673i \(-0.0770402\pi\)
−0.855972 + 0.517023i \(0.827040\pi\)
\(8\) 0.218802 2.81995i 0.0773583 0.997003i
\(9\) 2.34987 5.67309i 0.783291 1.89103i
\(10\) 3.09139 + 1.13918i 0.977582 + 0.360240i
\(11\) −2.41516 + 3.61454i −0.728198 + 1.08983i 0.263923 + 0.964544i \(0.414983\pi\)
−0.992121 + 0.125281i \(0.960017\pi\)
\(12\) 5.27786 + 2.95064i 1.52359 + 0.851776i
\(13\) −0.174791 0.0347682i −0.0484784 0.00964295i 0.170792 0.985307i \(-0.445368\pi\)
−0.219270 + 0.975664i \(0.570368\pi\)
\(14\) 0.175307 1.10949i 0.0468527 0.296523i
\(15\) −4.98033 + 4.98033i −1.28592 + 1.28592i
\(16\) −2.34637 + 3.23953i −0.586594 + 0.809881i
\(17\) 0.422266 + 0.422266i 0.102415 + 0.102415i 0.756457 0.654043i \(-0.226928\pi\)
−0.654043 + 0.756457i \(0.726928\pi\)
\(18\) −7.02362 + 5.10691i −1.65548 + 1.20371i
\(19\) −0.424489 + 2.13405i −0.0973844 + 0.489584i 0.901053 + 0.433708i \(0.142795\pi\)
−0.998438 + 0.0558761i \(0.982205\pi\)
\(20\) −2.88722 3.65688i −0.645602 0.817703i
\(21\) 1.99661 + 1.33409i 0.435696 + 0.291123i
\(22\) 5.58216 2.57590i 1.19012 0.549184i
\(23\) 6.39382 + 2.64841i 1.33320 + 0.552231i 0.931568 0.363568i \(-0.118442\pi\)
0.401636 + 0.915799i \(0.368442\pi\)
\(24\) −4.18656 7.45632i −0.854579 1.52202i
\(25\) 0.394679 0.163481i 0.0789358 0.0326963i
\(26\) 0.185138 + 0.171014i 0.0363086 + 0.0335385i
\(27\) −1.85234 9.31236i −0.356484 1.79216i
\(28\) −1.03077 + 1.20868i −0.194797 + 0.228418i
\(29\) −5.22657 7.82211i −0.970550 1.45253i −0.890097 0.455772i \(-0.849363\pi\)
−0.0804529 0.996758i \(-0.525637\pi\)
\(30\) 9.68459 2.32883i 1.76816 0.425185i
\(31\) 1.80802i 0.324729i −0.986731 0.162365i \(-0.948088\pi\)
0.986731 0.162365i \(-0.0519121\pi\)
\(32\) 5.22226 2.17440i 0.923174 0.384383i
\(33\) 13.1429i 2.28789i
\(34\) −0.197454 0.821125i −0.0338631 0.140822i
\(35\) −1.02799 1.53849i −0.173762 0.260053i
\(36\) 12.2425 0.972570i 2.04041 0.162095i
\(37\) −0.559507 2.81283i −0.0919823 0.462426i −0.999133 0.0416214i \(-0.986748\pi\)
0.907151 0.420805i \(-0.138252\pi\)
\(38\) 2.08792 2.26037i 0.338706 0.366681i
\(39\) −0.497791 + 0.206192i −0.0797103 + 0.0330171i
\(40\) 0.781702 + 6.54267i 0.123598 + 1.03449i
\(41\) −4.83885 2.00432i −0.755701 0.313022i −0.0286356 0.999590i \(-0.509116\pi\)
−0.727065 + 0.686568i \(0.759116\pi\)
\(42\) −1.42289 3.08349i −0.219556 0.475793i
\(43\) −6.27110 4.19021i −0.956334 0.639002i −0.0236588 0.999720i \(-0.507532\pi\)
−0.932675 + 0.360718i \(0.882532\pi\)
\(44\) −8.63483 1.01555i −1.30175 0.153101i
\(45\) −2.79080 + 14.0303i −0.416027 + 2.09151i
\(46\) −5.75571 7.91592i −0.848633 1.16714i
\(47\) 2.42967 + 2.42967i 0.354403 + 0.354403i 0.861745 0.507342i \(-0.169372\pi\)
−0.507342 + 0.861745i \(0.669372\pi\)
\(48\) −0.456990 + 12.0847i −0.0659609 + 1.74427i
\(49\) 4.50367 4.50367i 0.643382 0.643382i
\(50\) −0.596745 0.0942900i −0.0843925 0.0133346i
\(51\) 1.77076 + 0.352226i 0.247956 + 0.0493216i
\(52\) −0.0970024 0.342978i −0.0134518 0.0475625i
\(53\) −0.350569 + 0.524664i −0.0481544 + 0.0720682i −0.854766 0.519014i \(-0.826299\pi\)
0.806611 + 0.591082i \(0.201299\pi\)
\(54\) −4.64291 + 12.5994i −0.631820 + 1.71457i
\(55\) 3.87556 9.35642i 0.522580 1.26162i
\(56\) 2.13578 0.696566i 0.285406 0.0930825i
\(57\) 2.51742 + 6.07759i 0.333440 + 0.804996i
\(58\) 0.527218 + 13.2939i 0.0692271 + 1.74557i
\(59\) 8.25271 1.64157i 1.07441 0.213714i 0.373982 0.927436i \(-0.377992\pi\)
0.700429 + 0.713722i \(0.252992\pi\)
\(60\) −13.4003 4.34310i −1.72997 0.560692i
\(61\) −2.67124 + 1.78487i −0.342018 + 0.228529i −0.714702 0.699429i \(-0.753438\pi\)
0.372684 + 0.927958i \(0.378438\pi\)
\(62\) −1.33519 + 2.18063i −0.169569 + 0.276940i
\(63\) 4.87715 0.614463
\(64\) −7.90425 1.23402i −0.988031 0.154253i
\(65\) 0.415178 0.0514964
\(66\) 9.70580 15.8515i 1.19470 1.95119i
\(67\) 0.879840 0.587891i 0.107490 0.0718223i −0.500664 0.865642i \(-0.666911\pi\)
0.608153 + 0.793820i \(0.291911\pi\)
\(68\) −0.368238 + 1.13616i −0.0446554 + 0.137780i
\(69\) 20.5213 4.08194i 2.47047 0.491407i
\(70\) 0.103696 + 2.61471i 0.0123940 + 0.312518i
\(71\) −0.458776 1.10758i −0.0544467 0.131446i 0.894316 0.447437i \(-0.147663\pi\)
−0.948762 + 0.315991i \(0.897663\pi\)
\(72\) −15.4837 7.86781i −1.82477 0.927230i
\(73\) −0.783268 + 1.89098i −0.0916746 + 0.221322i −0.963065 0.269267i \(-0.913218\pi\)
0.871391 + 0.490589i \(0.163218\pi\)
\(74\) −1.40241 + 3.80570i −0.163026 + 0.442404i
\(75\) 0.717551 1.07389i 0.0828557 0.124002i
\(76\) −4.18746 + 1.18431i −0.480335 + 0.135850i
\(77\) −3.38643 0.673603i −0.385920 0.0767642i
\(78\) 0.752647 + 0.118924i 0.0852205 + 0.0134655i
\(79\) −5.97434 + 5.97434i −0.672166 + 0.672166i −0.958215 0.286049i \(-0.907658\pi\)
0.286049 + 0.958215i \(0.407658\pi\)
\(80\) 3.88883 8.46830i 0.434785 0.946785i
\(81\) −7.27213 7.27213i −0.808014 0.808014i
\(82\) 4.35592 + 5.99077i 0.481031 + 0.661570i
\(83\) −1.56393 + 7.86242i −0.171664 + 0.863012i 0.794930 + 0.606701i \(0.207507\pi\)
−0.966594 + 0.256312i \(0.917493\pi\)
\(84\) −0.560975 + 4.76973i −0.0612074 + 0.520420i
\(85\) −1.15674 0.772908i −0.125466 0.0838336i
\(86\) 4.46910 + 9.68485i 0.481915 + 1.04434i
\(87\) −26.2772 10.8844i −2.81721 1.16693i
\(88\) 9.66439 + 7.60150i 1.03023 + 0.810323i
\(89\) 6.64632 2.75300i 0.704509 0.291817i −0.00152141 0.999999i \(-0.500484\pi\)
0.706030 + 0.708182i \(0.250484\pi\)
\(90\) 13.7270 14.8608i 1.44696 1.56646i
\(91\) −0.0276149 0.138830i −0.00289483 0.0145533i
\(92\) 1.09613 + 13.7978i 0.114279 + 1.43852i
\(93\) −3.03687 4.54500i −0.314909 0.471295i
\(94\) −1.13613 4.72465i −0.117183 0.487310i
\(95\) 5.06895i 0.520064i
\(96\) 9.47547 14.2377i 0.967086 1.45313i
\(97\) 9.60392i 0.975130i −0.873087 0.487565i \(-0.837885\pi\)
0.873087 0.487565i \(-0.162115\pi\)
\(98\) −8.75770 + 2.10595i −0.884661 + 0.212733i
\(99\) 14.8303 + 22.1951i 1.49050 + 2.23069i
\(100\) 0.650095 + 0.554407i 0.0650095 + 0.0554407i
\(101\) 3.03083 + 15.2370i 0.301579 + 1.51614i 0.773099 + 0.634285i \(0.218705\pi\)
−0.471520 + 0.881855i \(0.656295\pi\)
\(102\) −1.87558 1.73249i −0.185710 0.171542i
\(103\) 13.0558 5.40788i 1.28642 0.532854i 0.368506 0.929625i \(-0.379869\pi\)
0.917917 + 0.396771i \(0.129869\pi\)
\(104\) −0.136289 + 0.485296i −0.0133643 + 0.0475872i
\(105\) −5.16833 2.14079i −0.504377 0.208920i
\(106\) 0.810272 0.373902i 0.0787005 0.0363166i
\(107\) 12.1990 + 8.15112i 1.17932 + 0.787999i 0.981354 0.192209i \(-0.0615652\pi\)
0.197970 + 0.980208i \(0.436565\pi\)
\(108\) 14.9042 11.7673i 1.43416 1.13231i
\(109\) 1.31130 6.59237i 0.125600 0.631435i −0.865781 0.500424i \(-0.833178\pi\)
0.991381 0.131011i \(-0.0418224\pi\)
\(110\) −11.5838 + 8.42264i −1.10447 + 0.803067i
\(111\) −6.13112 6.13112i −0.581940 0.581940i
\(112\) −3.09034 0.737115i −0.292010 0.0696508i
\(113\) −5.92301 + 5.92301i −0.557190 + 0.557190i −0.928506 0.371317i \(-0.878906\pi\)
0.371317 + 0.928506i \(0.378906\pi\)
\(114\) 1.45195 9.18916i 0.135988 0.860644i
\(115\) −15.8127 3.14535i −1.47455 0.293305i
\(116\) 9.18140 16.4229i 0.852471 1.52483i
\(117\) −0.607980 + 0.909907i −0.0562078 + 0.0841209i
\(118\) −11.1658 4.11460i −1.02789 0.378779i
\(119\) −0.181511 + 0.438206i −0.0166391 + 0.0401703i
\(120\) 12.9546 + 15.1340i 1.18259 + 1.38154i
\(121\) −3.02239 7.29671i −0.274763 0.663337i
\(122\) 4.53984 0.180044i 0.411018 0.0163005i
\(123\) −15.5305 + 3.08921i −1.40034 + 0.278545i
\(124\) 3.22070 1.64402i 0.289227 0.147637i
\(125\) 8.85761 5.91847i 0.792249 0.529364i
\(126\) −5.88227 3.60168i −0.524034 0.320863i
\(127\) 7.95115 0.705551 0.352775 0.935708i \(-0.385238\pi\)
0.352775 + 0.935708i \(0.385238\pi\)
\(128\) 8.62191 + 7.32548i 0.762077 + 0.647487i
\(129\) −22.8025 −2.00765
\(130\) −0.500740 0.306601i −0.0439178 0.0268907i
\(131\) 2.99684 2.00242i 0.261835 0.174953i −0.417723 0.908575i \(-0.637172\pi\)
0.679558 + 0.733622i \(0.262172\pi\)
\(132\) −23.4121 + 11.9508i −2.03776 + 1.04018i
\(133\) −1.69499 + 0.337154i −0.146974 + 0.0292349i
\(134\) −1.49531 + 0.0593021i −0.129175 + 0.00512292i
\(135\) 8.46473 + 20.4357i 0.728528 + 1.75882i
\(136\) 1.28316 1.09838i 0.110030 0.0941850i
\(137\) −5.13309 + 12.3924i −0.438550 + 1.05875i 0.537900 + 0.843008i \(0.319218\pi\)
−0.976450 + 0.215744i \(0.930782\pi\)
\(138\) −27.7649 10.2314i −2.36350 0.870954i
\(139\) −7.12464 + 10.6628i −0.604304 + 0.904405i −0.999902 0.0140189i \(-0.995538\pi\)
0.395598 + 0.918424i \(0.370538\pi\)
\(140\) 1.80585 3.23014i 0.152622 0.272997i
\(141\) 10.1887 + 2.02667i 0.858047 + 0.170676i
\(142\) −0.264605 + 1.67464i −0.0222052 + 0.140533i
\(143\) 0.547820 0.547820i 0.0458110 0.0458110i
\(144\) 12.8645 + 20.9237i 1.07204 + 1.74364i
\(145\) 15.4971 + 15.4971i 1.28696 + 1.28696i
\(146\) 2.34114 1.70225i 0.193754 0.140880i
\(147\) 3.75667 18.8860i 0.309845 1.55769i
\(148\) 4.50186 3.55436i 0.370051 0.292166i
\(149\) −18.3515 12.2621i −1.50341 1.00455i −0.989149 0.146914i \(-0.953066\pi\)
−0.514262 0.857633i \(-0.671934\pi\)
\(150\) −1.65848 + 0.765309i −0.135414 + 0.0624872i
\(151\) 2.57112 + 1.06499i 0.209235 + 0.0866679i 0.484839 0.874603i \(-0.338878\pi\)
−0.275605 + 0.961271i \(0.588878\pi\)
\(152\) 5.92504 + 1.66397i 0.480584 + 0.134966i
\(153\) 3.38782 1.40328i 0.273889 0.113449i
\(154\) 3.58689 + 3.31324i 0.289040 + 0.266988i
\(155\) 0.821724 + 4.13109i 0.0660025 + 0.331817i
\(156\) −0.819935 0.699248i −0.0656474 0.0559846i
\(157\) 10.9729 + 16.4222i 0.875736 + 1.31063i 0.949632 + 0.313366i \(0.101457\pi\)
−0.0738963 + 0.997266i \(0.523543\pi\)
\(158\) 11.6175 2.79364i 0.924240 0.222250i
\(159\) 1.90774i 0.151294i
\(160\) −10.9439 + 7.34168i −0.865195 + 0.580411i
\(161\) 5.49676i 0.433206i
\(162\) 3.40050 + 14.1412i 0.267168 + 1.11103i
\(163\) −7.08796 10.6079i −0.555172 0.830873i 0.442660 0.896690i \(-0.354035\pi\)
−0.997832 + 0.0658161i \(0.979035\pi\)
\(164\) −0.829550 10.4422i −0.0647770 0.815396i
\(165\) −5.97332 30.0299i −0.465022 2.33782i
\(166\) 7.69248 8.32783i 0.597052 0.646365i
\(167\) −4.60049 + 1.90558i −0.355996 + 0.147459i −0.553512 0.832841i \(-0.686713\pi\)
0.197516 + 0.980300i \(0.436713\pi\)
\(168\) 4.19894 5.33844i 0.323955 0.411870i
\(169\) −11.9811 4.96273i −0.921622 0.381748i
\(170\) 0.824350 + 1.78642i 0.0632247 + 0.137012i
\(171\) 11.1092 + 7.42291i 0.849539 + 0.567644i
\(172\) 1.76195 14.9811i 0.134347 1.14230i
\(173\) 4.04445 20.3328i 0.307494 1.54587i −0.449998 0.893029i \(-0.648575\pi\)
0.757492 0.652845i \(-0.226425\pi\)
\(174\) 23.6547 + 32.5327i 1.79325 + 2.46629i
\(175\) 0.239925 + 0.239925i 0.0181366 + 0.0181366i
\(176\) −6.04253 16.3050i −0.455473 1.22904i
\(177\) 17.9884 17.9884i 1.35209 1.35209i
\(178\) −10.0491 1.58783i −0.753210 0.119013i
\(179\) −6.57810 1.30847i −0.491670 0.0977993i −0.0569725 0.998376i \(-0.518145\pi\)
−0.434698 + 0.900576i \(0.643145\pi\)
\(180\) −27.5304 + 7.78626i −2.05200 + 0.580353i
\(181\) −12.0521 + 18.0372i −0.895822 + 1.34069i 0.0440013 + 0.999031i \(0.485989\pi\)
−0.939823 + 0.341661i \(0.889011\pi\)
\(182\) −0.0692169 + 0.187834i −0.00513070 + 0.0139232i
\(183\) −3.71700 + 8.97362i −0.274768 + 0.663349i
\(184\) 8.86736 17.4508i 0.653711 1.28649i
\(185\) 2.55680 + 6.17266i 0.187980 + 0.453823i
\(186\) 0.306338 + 7.72434i 0.0224618 + 0.566376i
\(187\) −2.54614 + 0.506458i −0.186192 + 0.0370359i
\(188\) −2.11879 + 6.53735i −0.154529 + 0.476785i
\(189\) 6.27038 4.18973i 0.456103 0.304758i
\(190\) −3.74332 + 6.11360i −0.271569 + 0.443527i
\(191\) −12.1977 −0.882592 −0.441296 0.897362i \(-0.645481\pi\)
−0.441296 + 0.897362i \(0.645481\pi\)
\(192\) −21.9425 + 10.1744i −1.58356 + 0.734277i
\(193\) 16.3911 1.17986 0.589929 0.807455i \(-0.299156\pi\)
0.589929 + 0.807455i \(0.299156\pi\)
\(194\) −7.09231 + 11.5832i −0.509198 + 0.831622i
\(195\) 1.04368 0.697362i 0.0747392 0.0499391i
\(196\) 12.1177 + 3.92743i 0.865553 + 0.280531i
\(197\) 12.9559 2.57710i 0.923073 0.183611i 0.289397 0.957209i \(-0.406545\pi\)
0.633676 + 0.773599i \(0.281545\pi\)
\(198\) −1.49597 37.7212i −0.106314 2.68073i
\(199\) 1.44670 + 3.49265i 0.102554 + 0.247587i 0.966825 0.255439i \(-0.0822199\pi\)
−0.864271 + 0.503026i \(0.832220\pi\)
\(200\) −0.374653 1.14875i −0.0264920 0.0812286i
\(201\) 1.22428 2.95569i 0.0863544 0.208478i
\(202\) 7.59680 20.6154i 0.534509 1.45049i
\(203\) 4.15125 6.21278i 0.291360 0.436052i
\(204\) 0.982704 + 3.47461i 0.0688030 + 0.243272i
\(205\) 11.9671 + 2.38040i 0.835817 + 0.166254i
\(206\) −19.7400 3.11906i −1.37535 0.217315i
\(207\) 30.0493 30.0493i 2.08857 2.08857i
\(208\) 0.522758 0.484662i 0.0362468 0.0336053i
\(209\) −6.68840 6.68840i −0.462646 0.462646i
\(210\) 4.65252 + 6.39869i 0.321055 + 0.441552i
\(211\) 1.24095 6.23870i 0.0854309 0.429490i −0.914272 0.405102i \(-0.867236\pi\)
0.999703 0.0243884i \(-0.00776383\pi\)
\(212\) −1.25338 0.147412i −0.0860823 0.0101243i
\(213\) −3.01365 2.01366i −0.206492 0.137973i
\(214\) −8.69363 18.8397i −0.594285 1.28786i
\(215\) 16.2331 + 6.72395i 1.10709 + 0.458570i
\(216\) −26.6657 + 3.18595i −1.81437 + 0.216777i
\(217\) 1.32672 0.549546i 0.0900637 0.0373056i
\(218\) −6.44989 + 6.98260i −0.436842 + 0.472922i
\(219\) 1.20723 + 6.06918i 0.0815773 + 0.410117i
\(220\) 20.1910 1.60402i 1.36128 0.108143i
\(221\) −0.0591270 0.0884899i −0.00397731 0.00595247i
\(222\) 2.86695 + 11.9224i 0.192417 + 0.800178i
\(223\) 5.65324i 0.378569i 0.981922 + 0.189284i \(0.0606168\pi\)
−0.981922 + 0.189284i \(0.939383\pi\)
\(224\) 3.18287 + 3.17118i 0.212665 + 0.211883i
\(225\) 2.62321i 0.174881i
\(226\) 11.5177 2.76964i 0.766145 0.184234i
\(227\) −3.62832 5.43017i −0.240820 0.360413i 0.691296 0.722571i \(-0.257040\pi\)
−0.932117 + 0.362158i \(0.882040\pi\)
\(228\) −8.53720 + 10.0107i −0.565390 + 0.662974i
\(229\) 4.22963 + 21.2638i 0.279502 + 1.40515i 0.824096 + 0.566451i \(0.191684\pi\)
−0.544594 + 0.838700i \(0.683316\pi\)
\(230\) 16.7488 + 15.4710i 1.10438 + 1.02013i
\(231\) −9.64427 + 3.99479i −0.634546 + 0.262838i
\(232\) −23.2016 + 13.0272i −1.52326 + 0.855276i
\(233\) 3.58263 + 1.48397i 0.234706 + 0.0972182i 0.496936 0.867787i \(-0.334458\pi\)
−0.262231 + 0.965005i \(0.584458\pi\)
\(234\) 1.40523 0.648445i 0.0918625 0.0423902i
\(235\) −6.65573 4.44722i −0.434172 0.290104i
\(236\) 10.4283 + 13.2083i 0.678826 + 0.859784i
\(237\) −4.98340 + 25.0533i −0.323707 + 1.62738i
\(238\) 0.542524 0.394472i 0.0351666 0.0255698i
\(239\) −16.2539 16.2539i −1.05138 1.05138i −0.998607 0.0527693i \(-0.983195\pi\)
−0.0527693 0.998607i \(-0.516805\pi\)
\(240\) −4.44819 27.8196i −0.287129 1.79575i
\(241\) −4.71850 + 4.71850i −0.303945 + 0.303945i −0.842555 0.538610i \(-0.818950\pi\)
0.538610 + 0.842555i \(0.318950\pi\)
\(242\) −1.74321 + 11.0324i −0.112057 + 0.709192i
\(243\) −2.55844 0.508905i −0.164124 0.0326463i
\(244\) −5.60841 3.13544i −0.359041 0.200726i
\(245\) −8.24344 + 12.3372i −0.526654 + 0.788194i
\(246\) 21.0125 + 7.74312i 1.33971 + 0.493683i
\(247\) 0.148394 0.358255i 0.00944208 0.0227952i
\(248\) −5.09852 0.395598i −0.323756 0.0251205i
\(249\) 9.27485 + 22.3915i 0.587770 + 1.41900i
\(250\) −15.0537 + 0.597012i −0.952081 + 0.0377583i
\(251\) 24.3591 4.84533i 1.53753 0.305834i 0.647620 0.761964i \(-0.275765\pi\)
0.889913 + 0.456130i \(0.150765\pi\)
\(252\) 4.43476 + 8.68789i 0.279364 + 0.547285i
\(253\) −25.0149 + 16.7144i −1.57267 + 1.05083i
\(254\) −9.58978 5.87177i −0.601716 0.368428i
\(255\) −4.20605 −0.263393
\(256\) −4.98906 15.2023i −0.311816 0.950143i
\(257\) −17.0757 −1.06515 −0.532576 0.846382i \(-0.678776\pi\)
−0.532576 + 0.846382i \(0.678776\pi\)
\(258\) 27.5018 + 16.8392i 1.71219 + 1.04836i
\(259\) 1.89399 1.26552i 0.117687 0.0786358i
\(260\) 0.377518 + 0.739574i 0.0234127 + 0.0458664i
\(261\) −56.6573 + 11.2698i −3.50700 + 0.697586i
\(262\) −5.09320 + 0.201990i −0.314659 + 0.0124790i
\(263\) −6.67352 16.1113i −0.411507 0.993465i −0.984734 0.174069i \(-0.944309\pi\)
0.573227 0.819397i \(-0.305691\pi\)
\(264\) 37.0624 + 2.87570i 2.28103 + 0.176987i
\(265\) 0.562552 1.35812i 0.0345573 0.0834287i
\(266\) 2.29328 + 0.845078i 0.140610 + 0.0518151i
\(267\) 12.0834 18.0841i 0.739494 1.10673i
\(268\) 1.84727 + 1.03273i 0.112840 + 0.0630843i
\(269\) −3.60444 0.716968i −0.219767 0.0437143i 0.0839787 0.996468i \(-0.473237\pi\)
−0.303745 + 0.952753i \(0.598237\pi\)
\(270\) 4.88214 30.8982i 0.297118 1.88041i
\(271\) −20.5532 + 20.5532i −1.24852 + 1.24852i −0.292145 + 0.956374i \(0.594369\pi\)
−0.956374 + 0.292145i \(0.905631\pi\)
\(272\) −2.35874 + 0.377147i −0.143019 + 0.0228679i
\(273\) −0.302606 0.302606i −0.0183146 0.0183146i
\(274\) 15.3425 11.1556i 0.926874 0.673934i
\(275\) −0.362302 + 1.82142i −0.0218477 + 0.109836i
\(276\) 25.9312 + 32.8438i 1.56087 + 1.97696i
\(277\) 15.0658 + 10.0667i 0.905217 + 0.604846i 0.918654 0.395063i \(-0.129277\pi\)
−0.0134373 + 0.999910i \(0.504277\pi\)
\(278\) 16.4672 7.59883i 0.987637 0.455748i
\(279\) −10.2570 4.24861i −0.614073 0.254357i
\(280\) −4.56341 + 2.56225i −0.272716 + 0.153124i
\(281\) 4.52217 1.87315i 0.269770 0.111743i −0.243698 0.969851i \(-0.578360\pi\)
0.513468 + 0.858109i \(0.328360\pi\)
\(282\) −10.7919 9.96853i −0.642646 0.593617i
\(283\) −0.721894 3.62921i −0.0429121 0.215734i 0.953380 0.301774i \(-0.0975787\pi\)
−0.996292 + 0.0860399i \(0.972579\pi\)
\(284\) 1.55583 1.82435i 0.0923212 0.108256i
\(285\) −8.51417 12.7424i −0.504336 0.754792i
\(286\) −1.06527 + 0.256164i −0.0629909 + 0.0151473i
\(287\) 4.15995i 0.245554i
\(288\) −0.0639238 34.7359i −0.00376675 2.04683i
\(289\) 16.6434i 0.979023i
\(290\) −7.24655 30.1352i −0.425532 1.76960i
\(291\) −16.1314 24.1424i −0.945640 1.41525i
\(292\) −4.08070 + 0.324181i −0.238805 + 0.0189712i
\(293\) −0.201266 1.01183i −0.0117581 0.0591118i 0.974461 0.224558i \(-0.0720937\pi\)
−0.986219 + 0.165446i \(0.947094\pi\)
\(294\) −18.4778 + 20.0040i −1.07765 + 1.16666i
\(295\) −18.1103 + 7.50154i −1.05442 + 0.436756i
\(296\) −8.05446 + 0.962328i −0.468156 + 0.0559342i
\(297\) 38.1336 + 15.7955i 2.21274 + 0.916545i
\(298\) 13.0782 + 28.3413i 0.757599 + 1.64177i
\(299\) −1.02550 0.685220i −0.0593065 0.0396273i
\(300\) 2.56543 + 0.301724i 0.148115 + 0.0174201i
\(301\) 1.16868 5.87534i 0.0673615 0.338649i
\(302\) −2.31452 3.18320i −0.133186 0.183172i
\(303\) 33.2121 + 33.2121i 1.90799 + 1.90799i
\(304\) −5.91730 6.38242i −0.339380 0.366057i
\(305\) 5.29225 5.29225i 0.303033 0.303033i
\(306\) −5.12231 0.809362i −0.292823 0.0462681i
\(307\) 14.4531 + 2.87489i 0.824880 + 0.164079i 0.589442 0.807811i \(-0.299348\pi\)
0.235438 + 0.971889i \(0.424348\pi\)
\(308\) −1.87934 6.64491i −0.107085 0.378629i
\(309\) 23.7362 35.5237i 1.35031 2.02088i
\(310\) 2.05966 5.58928i 0.116981 0.317450i
\(311\) −12.5822 + 30.3761i −0.713470 + 1.72247i −0.0223281 + 0.999751i \(0.507108\pi\)
−0.691142 + 0.722719i \(0.742892\pi\)
\(312\) 0.472533 + 1.44886i 0.0267519 + 0.0820256i
\(313\) −6.07425 14.6645i −0.343337 0.828889i −0.997374 0.0724262i \(-0.976926\pi\)
0.654037 0.756463i \(-0.273074\pi\)
\(314\) −1.10687 27.9099i −0.0624643 1.57505i
\(315\) −11.1437 + 2.21661i −0.627874 + 0.124892i
\(316\) −16.0748 5.20994i −0.904277 0.293082i
\(317\) 12.7506 8.51970i 0.716147 0.478514i −0.143339 0.989674i \(-0.545784\pi\)
0.859486 + 0.511160i \(0.170784\pi\)
\(318\) 1.40883 2.30091i 0.0790034 0.129028i
\(319\) 40.8963 2.28976
\(320\) 18.6210 0.772812i 1.04095 0.0432015i
\(321\) 44.3572 2.47578
\(322\) 4.05925 6.62958i 0.226213 0.369452i
\(323\) −1.08038 + 0.721889i −0.0601141 + 0.0401670i
\(324\) 6.34167 19.5667i 0.352315 1.08704i
\(325\) −0.0746705 + 0.0148529i −0.00414197 + 0.000823889i
\(326\) 0.714982 + 18.0284i 0.0395992 + 0.998498i
\(327\) −7.77665 18.7745i −0.430050 1.03823i
\(328\) −6.71082 + 13.2068i −0.370543 + 0.729221i
\(329\) −1.04439 + 2.52138i −0.0575791 + 0.139008i
\(330\) −14.9722 + 40.6298i −0.824190 + 2.23660i
\(331\) −16.0230 + 23.9801i −0.880702 + 1.31806i 0.0666189 + 0.997778i \(0.478779\pi\)
−0.947321 + 0.320285i \(0.896221\pi\)
\(332\) −15.4277 + 4.36334i −0.846707 + 0.239469i
\(333\) −17.2722 3.43566i −0.946511 0.188273i
\(334\) 6.95583 + 1.09907i 0.380606 + 0.0601384i
\(335\) −1.74313 + 1.74313i −0.0952375 + 0.0952375i
\(336\) −9.00662 + 3.33779i −0.491352 + 0.182091i
\(337\) −21.0382 21.0382i −1.14602 1.14602i −0.987328 0.158695i \(-0.949271\pi\)
−0.158695 0.987328i \(-0.550729\pi\)
\(338\) 10.7854 + 14.8333i 0.586646 + 0.806825i
\(339\) −4.94058 + 24.8380i −0.268336 + 1.34901i
\(340\) 0.325001 2.76335i 0.0176257 0.149864i
\(341\) 6.53515 + 4.36665i 0.353898 + 0.236467i
\(342\) −7.91695 17.1566i −0.428099 0.927721i
\(343\) 9.81027 + 4.06355i 0.529705 + 0.219411i
\(344\) −13.1883 + 16.7674i −0.711067 + 0.904036i
\(345\) −45.0333 + 18.6534i −2.42451 + 1.00427i
\(346\) −19.8933 + 21.5364i −1.06947 + 1.15780i
\(347\) −2.53390 12.7388i −0.136027 0.683853i −0.987266 0.159076i \(-0.949149\pi\)
0.851240 0.524777i \(-0.175851\pi\)
\(348\) −4.50484 56.7057i −0.241485 3.03975i
\(349\) 4.24727 + 6.35649i 0.227351 + 0.340255i 0.927554 0.373689i \(-0.121907\pi\)
−0.700203 + 0.713944i \(0.746907\pi\)
\(350\) −0.112191 0.466551i −0.00599683 0.0249382i
\(351\) 1.69212i 0.0903188i
\(352\) −4.75313 + 24.1276i −0.253343 + 1.28600i
\(353\) 26.8538i 1.42928i −0.699491 0.714642i \(-0.746590\pi\)
0.699491 0.714642i \(-0.253410\pi\)
\(354\) −34.9797 + 8.41150i −1.85915 + 0.447066i
\(355\) 1.55163 + 2.32218i 0.0823519 + 0.123248i
\(356\) 10.9475 + 9.33611i 0.580216 + 0.494813i
\(357\) 0.279759 + 1.40644i 0.0148064 + 0.0744368i
\(358\) 6.96748 + 6.43592i 0.368243 + 0.340149i
\(359\) −2.56193 + 1.06119i −0.135214 + 0.0560073i −0.449264 0.893399i \(-0.648314\pi\)
0.314051 + 0.949406i \(0.398314\pi\)
\(360\) 38.9541 + 10.9398i 2.05306 + 0.576576i
\(361\) 13.1797 + 5.45923i 0.693670 + 0.287328i
\(362\) 27.8559 12.8542i 1.46408 0.675601i
\(363\) −19.8538 13.2659i −1.04205 0.696278i
\(364\) 0.222193 0.175428i 0.0116461 0.00919494i
\(365\) 0.930238 4.67662i 0.0486909 0.244786i
\(366\) 11.1099 8.07804i 0.580722 0.422246i
\(367\) 13.2056 + 13.2056i 0.689329 + 0.689329i 0.962084 0.272755i \(-0.0879347\pi\)
−0.272755 + 0.962084i \(0.587935\pi\)
\(368\) −23.5819 + 14.4988i −1.22929 + 0.755802i
\(369\) −22.7413 + 22.7413i −1.18387 + 1.18387i
\(370\) 1.47467 9.33292i 0.0766643 0.485195i
\(371\) −0.491553 0.0977761i −0.0255202 0.00507628i
\(372\) 5.33481 9.54245i 0.276597 0.494753i
\(373\) 20.4728 30.6397i 1.06004 1.58646i 0.280770 0.959775i \(-0.409410\pi\)
0.779271 0.626688i \(-0.215590\pi\)
\(374\) 3.44487 + 1.26944i 0.178130 + 0.0656412i
\(375\) 12.3252 29.7557i 0.636472 1.53658i
\(376\) 7.38315 6.31992i 0.380757 0.325925i
\(377\) 0.641599 + 1.54896i 0.0330440 + 0.0797753i
\(378\) −10.6567 + 0.422630i −0.548120 + 0.0217377i
\(379\) 26.5748 5.28606i 1.36506 0.271527i 0.542427 0.840103i \(-0.317506\pi\)
0.822631 + 0.568576i \(0.192506\pi\)
\(380\) 9.02955 4.60916i 0.463206 0.236445i
\(381\) 19.9876 13.3553i 1.02400 0.684214i
\(382\) 14.7114 + 9.00774i 0.752703 + 0.460876i
\(383\) −12.4669 −0.637027 −0.318514 0.947918i \(-0.603184\pi\)
−0.318514 + 0.947918i \(0.603184\pi\)
\(384\) 33.9782 + 3.93284i 1.73394 + 0.200697i
\(385\) 8.04371 0.409945
\(386\) −19.7691 12.1045i −1.00622 0.616104i
\(387\) −38.5078 + 25.7301i −1.95746 + 1.30793i
\(388\) 17.1079 8.73277i 0.868521 0.443339i
\(389\) 6.19647 1.23255i 0.314173 0.0624930i −0.0354851 0.999370i \(-0.511298\pi\)
0.349659 + 0.936877i \(0.386298\pi\)
\(390\) −1.77375 + 0.0703448i −0.0898174 + 0.00356205i
\(391\) 1.58156 + 3.81823i 0.0799830 + 0.193096i
\(392\) −11.7147 13.6855i −0.591683 0.691225i
\(393\) 4.17006 10.0674i 0.210352 0.507834i
\(394\) −17.5291 6.45951i −0.883105 0.325425i
\(395\) 10.9353 16.3659i 0.550216 0.823457i
\(396\) −26.0521 + 46.5998i −1.30917 + 2.34173i
\(397\) −24.4366 4.86075i −1.22644 0.243954i −0.460964 0.887419i \(-0.652496\pi\)
−0.765476 + 0.643465i \(0.777496\pi\)
\(398\) 0.834405 5.28080i 0.0418249 0.264703i
\(399\) −3.69456 + 3.69456i −0.184959 + 0.184959i
\(400\) −0.396463 + 1.66216i −0.0198231 + 0.0831081i
\(401\) 0.213936 + 0.213936i 0.0106835 + 0.0106835i 0.712428 0.701745i \(-0.247595\pi\)
−0.701745 + 0.712428i \(0.747595\pi\)
\(402\) −3.65931 + 2.66070i −0.182510 + 0.132704i
\(403\) −0.0628614 + 0.316026i −0.00313135 + 0.0157424i
\(404\) −24.3865 + 19.2539i −1.21327 + 0.957915i
\(405\) 19.9210 + 13.3108i 0.989882 + 0.661418i
\(406\) −9.59478 + 4.42754i −0.476181 + 0.219735i
\(407\) 11.5184 + 4.77107i 0.570945 + 0.236493i
\(408\) 1.38071 4.91639i 0.0683552 0.243398i
\(409\) −8.00529 + 3.31590i −0.395836 + 0.163961i −0.571717 0.820451i \(-0.693723\pi\)
0.175881 + 0.984411i \(0.443723\pi\)
\(410\) −12.6755 11.7084i −0.625996 0.578238i
\(411\) 7.91153 + 39.7739i 0.390247 + 1.96190i
\(412\) 21.5048 + 18.3395i 1.05947 + 0.903521i
\(413\) 3.71299 + 5.55688i 0.182704 + 0.273436i
\(414\) −58.4330 + 14.0513i −2.87182 + 0.690582i
\(415\) 18.6754i 0.916739i
\(416\) −0.988406 + 0.198498i −0.0484606 + 0.00973215i
\(417\) 38.7712i 1.89863i
\(418\) 3.12754 + 13.0060i 0.152973 + 0.636147i
\(419\) −9.47052 14.1736i −0.462665 0.692427i 0.524629 0.851331i \(-0.324204\pi\)
−0.987294 + 0.158904i \(0.949204\pi\)
\(420\) −0.886036 11.1532i −0.0432341 0.544220i
\(421\) −4.60289 23.1403i −0.224331 1.12779i −0.914638 0.404273i \(-0.867525\pi\)
0.690307 0.723517i \(-0.257475\pi\)
\(422\) −6.10386 + 6.60800i −0.297131 + 0.321672i
\(423\) 19.4931 8.07431i 0.947788 0.392587i
\(424\) 1.40282 + 1.10339i 0.0681271 + 0.0535852i
\(425\) 0.235692 + 0.0976269i 0.0114327 + 0.00473560i
\(426\) 2.14768 + 4.65417i 0.104055 + 0.225495i
\(427\) −2.12166 1.41765i −0.102674 0.0686047i
\(428\) −3.42748 + 29.1424i −0.165674 + 1.40865i
\(429\) 0.456955 2.29727i 0.0220620 0.110913i
\(430\) −14.6130 20.0975i −0.704700 0.969186i
\(431\) −6.06685 6.06685i −0.292230 0.292230i 0.545731 0.837961i \(-0.316252\pi\)
−0.837961 + 0.545731i \(0.816252\pi\)
\(432\) 34.5139 + 15.8496i 1.66055 + 0.762562i
\(433\) −19.0094 + 19.0094i −0.913533 + 0.913533i −0.996548 0.0830154i \(-0.973545\pi\)
0.0830154 + 0.996548i \(0.473545\pi\)
\(434\) −2.00597 0.316958i −0.0962896 0.0152145i
\(435\) 64.9867 + 12.9267i 3.11588 + 0.619786i
\(436\) 12.9356 3.65851i 0.619505 0.175211i
\(437\) −8.36594 + 12.5205i −0.400197 + 0.598937i
\(438\) 3.02594 8.21148i 0.144585 0.392360i
\(439\) 1.00267 2.42067i 0.0478550 0.115532i −0.898144 0.439701i \(-0.855085\pi\)
0.945999 + 0.324169i \(0.105085\pi\)
\(440\) −25.5367 12.9761i −1.21741 0.618611i
\(441\) −14.9667 36.1328i −0.712700 1.72061i
\(442\) 0.00596430 + 0.150391i 0.000283693 + 0.00715335i
\(443\) −10.3515 + 2.05904i −0.491815 + 0.0978280i −0.434766 0.900543i \(-0.643169\pi\)
−0.0570485 + 0.998371i \(0.518169\pi\)
\(444\) 5.34665 16.4966i 0.253741 0.782895i
\(445\) −13.9348 + 9.31093i −0.660572 + 0.441380i
\(446\) 4.17481 6.81830i 0.197683 0.322856i
\(447\) −66.7283 −3.15614
\(448\) −1.49697 6.17521i −0.0707251 0.291751i
\(449\) −16.5623 −0.781622 −0.390811 0.920471i \(-0.627805\pi\)
−0.390811 + 0.920471i \(0.627805\pi\)
\(450\) −1.93719 + 3.16382i −0.0913201 + 0.149144i
\(451\) 18.9313 12.6495i 0.891438 0.595640i
\(452\) −15.9367 5.16517i −0.749598 0.242949i
\(453\) 8.25213 1.64145i 0.387719 0.0771221i
\(454\) 0.365999 + 9.22870i 0.0171772 + 0.433124i
\(455\) 0.126193 + 0.304657i 0.00591602 + 0.0142825i
\(456\) 17.6893 5.76921i 0.828378 0.270168i
\(457\) 3.37664 8.15192i 0.157952 0.381331i −0.825015 0.565111i \(-0.808833\pi\)
0.982967 + 0.183780i \(0.0588334\pi\)
\(458\) 10.6016 28.7695i 0.495380 1.34431i
\(459\) 3.15011 4.71447i 0.147034 0.220053i
\(460\) −8.77545 31.0280i −0.409158 1.44669i
\(461\) 25.6514 + 5.10238i 1.19470 + 0.237641i 0.752084 0.659068i \(-0.229049\pi\)
0.442620 + 0.896709i \(0.354049\pi\)
\(462\) 14.5819 + 2.30404i 0.678411 + 0.107194i
\(463\) 10.3091 10.3091i 0.479105 0.479105i −0.425741 0.904845i \(-0.639986\pi\)
0.904845 + 0.425741i \(0.139986\pi\)
\(464\) 37.6034 + 1.42200i 1.74570 + 0.0660147i
\(465\) 9.00452 + 9.00452i 0.417575 + 0.417575i
\(466\) −3.22507 4.43550i −0.149399 0.205471i
\(467\) −4.65749 + 23.4148i −0.215523 + 1.08351i 0.709822 + 0.704381i \(0.248775\pi\)
−0.925345 + 0.379126i \(0.876225\pi\)
\(468\) −2.17369 0.255651i −0.100479 0.0118175i
\(469\) 0.698821 + 0.466937i 0.0322685 + 0.0215612i
\(470\) 4.74321 + 10.2789i 0.218788 + 0.474128i
\(471\) 55.1677 + 22.8512i 2.54199 + 1.05293i
\(472\) −2.82343 23.6314i −0.129959 1.08772i
\(473\) 30.2914 12.5471i 1.39280 0.576917i
\(474\) 24.5118 26.5363i 1.12586 1.21885i
\(475\) 0.181341 + 0.911661i 0.00832048 + 0.0418299i
\(476\) −0.945642 + 0.0751241i −0.0433434 + 0.00344331i
\(477\) 2.15268 + 3.22171i 0.0985642 + 0.147512i
\(478\) 7.60042 + 31.6068i 0.347635 + 1.44566i
\(479\) 7.22838i 0.330273i −0.986271 0.165136i \(-0.947194\pi\)
0.986271 0.165136i \(-0.0528065\pi\)
\(480\) −15.1794 + 36.8378i −0.692839 + 1.68141i
\(481\) 0.511111i 0.0233047i
\(482\) 9.17544 2.20640i 0.417930 0.100499i
\(483\) 9.23275 + 13.8178i 0.420105 + 0.628731i
\(484\) 10.2497 12.0188i 0.465896 0.546308i
\(485\) 4.36488 + 21.9437i 0.198199 + 0.996413i
\(486\) 2.70988 + 2.50314i 0.122923 + 0.113545i
\(487\) −13.5574 + 5.61566i −0.614345 + 0.254470i −0.668085 0.744085i \(-0.732886\pi\)
0.0537402 + 0.998555i \(0.482886\pi\)
\(488\) 4.44877 + 7.92331i 0.201386 + 0.358671i
\(489\) −35.6355 14.7607i −1.61149 0.667502i
\(490\) 19.0531 8.79209i 0.860730 0.397186i
\(491\) −16.6130 11.1005i −0.749734 0.500956i 0.121035 0.992648i \(-0.461379\pi\)
−0.870769 + 0.491692i \(0.836379\pi\)
\(492\) −19.6247 24.8562i −0.884751 1.12060i
\(493\) 1.09601 5.51001i 0.0493618 0.248159i
\(494\) −0.443540 + 0.322500i −0.0199558 + 0.0145100i
\(495\) −43.9728 43.9728i −1.97643 1.97643i
\(496\) 5.85712 + 4.24228i 0.262992 + 0.190484i
\(497\) 0.673299 0.673299i 0.0302016 0.0302016i
\(498\) 5.34939 33.8554i 0.239712 1.51710i
\(499\) −1.73704 0.345518i −0.0777605 0.0154675i 0.156057 0.987748i \(-0.450122\pi\)
−0.233817 + 0.972281i \(0.575122\pi\)
\(500\) 18.5970 + 10.3968i 0.831683 + 0.464961i
\(501\) −8.36397 + 12.5176i −0.373675 + 0.559244i
\(502\) −32.9574 12.1448i −1.47096 0.542051i
\(503\) −6.27595 + 15.1515i −0.279831 + 0.675571i −0.999831 0.0184028i \(-0.994142\pi\)
0.720000 + 0.693974i \(0.244142\pi\)
\(504\) 1.06713 13.7533i 0.0475338 0.612622i
\(505\) −13.8501 33.4372i −0.616322 1.48793i
\(506\) 42.5134 1.68603i 1.88995 0.0749530i
\(507\) −38.4539 + 7.64895i −1.70780 + 0.339702i
\(508\) 7.22992 + 14.1637i 0.320776 + 0.628414i
\(509\) −0.961984 + 0.642777i −0.0426392 + 0.0284906i −0.576707 0.816951i \(-0.695663\pi\)
0.534068 + 0.845442i \(0.320663\pi\)
\(510\) 5.07286 + 3.10608i 0.224630 + 0.137540i
\(511\) −1.62567 −0.0719154
\(512\) −5.20935 + 22.0196i −0.230223 + 0.973138i
\(513\) 20.6593 0.912131
\(514\) 20.5948 + 12.6101i 0.908396 + 0.556206i
\(515\) −27.3729 + 18.2900i −1.20620 + 0.805954i
\(516\) −20.7341 40.6191i −0.912770 1.78816i
\(517\) −14.6502 + 2.91410i −0.644313 + 0.128162i
\(518\) −3.21888 + 0.127657i −0.141430 + 0.00560892i
\(519\) −23.9855 57.9060i −1.05285 2.54179i
\(520\) 0.0908418 1.17078i 0.00398368 0.0513421i
\(521\) 1.84213 4.44729i 0.0807050 0.194839i −0.878376 0.477970i \(-0.841373\pi\)
0.959081 + 0.283130i \(0.0913729\pi\)
\(522\) 76.6563 + 28.2479i 3.35515 + 1.23638i
\(523\) −1.19764 + 1.79239i −0.0523691 + 0.0783759i −0.856730 0.515765i \(-0.827508\pi\)
0.804361 + 0.594141i \(0.202508\pi\)
\(524\) 6.29201 + 3.51761i 0.274868 + 0.153668i
\(525\) 1.00612 + 0.200130i 0.0439107 + 0.00873438i
\(526\) −3.84904 + 24.3599i −0.167826 + 1.06214i
\(527\) 0.763464 0.763464i 0.0332570 0.0332570i
\(528\) −42.5768 30.8382i −1.85292 1.34206i
\(529\) 17.6034 + 17.6034i 0.765367 + 0.765367i
\(530\) −1.68143 + 1.22258i −0.0730367 + 0.0531054i
\(531\) 10.0801 50.6759i 0.437437 2.19915i
\(532\) −2.14183 2.71278i −0.0928599 0.117614i
\(533\) 0.776102 + 0.518575i 0.0336167 + 0.0224620i
\(534\) −27.9285 + 12.8877i −1.20858 + 0.557704i
\(535\) −31.5778 13.0799i −1.36523 0.565496i
\(536\) −1.46531 2.60974i −0.0632918 0.112724i
\(537\) −18.7338 + 7.75981i −0.808425 + 0.334861i
\(538\) 3.81780 + 3.52654i 0.164597 + 0.152040i
\(539\) 5.40162 + 27.1558i 0.232664 + 1.16968i
\(540\) −28.7060 + 33.6606i −1.23531 + 1.44852i
\(541\) 5.84519 + 8.74795i 0.251304 + 0.376104i 0.935577 0.353123i \(-0.114880\pi\)
−0.684273 + 0.729226i \(0.739880\pi\)
\(542\) 39.9671 9.61082i 1.71674 0.412820i
\(543\) 65.5854i 2.81454i
\(544\) 3.12336 + 1.28701i 0.133913 + 0.0551800i
\(545\) 15.6587i 0.670745i
\(546\) 0.141501 + 0.588439i 0.00605567 + 0.0251829i
\(547\) 17.4357 + 26.0944i 0.745498 + 1.11572i 0.989301 + 0.145892i \(0.0466051\pi\)
−0.243803 + 0.969825i \(0.578395\pi\)
\(548\) −26.7426 + 2.12449i −1.14239 + 0.0907539i
\(549\) 3.84864 + 19.3484i 0.164256 + 0.825771i
\(550\) 1.78205 1.92923i 0.0759869 0.0822628i
\(551\) 18.9114 7.83336i 0.805653 0.333712i
\(552\) −7.02076 58.7621i −0.298823 2.50108i
\(553\) −6.19987 2.56807i −0.263645 0.109205i
\(554\) −10.7366 23.2671i −0.456157 0.988523i
\(555\) 16.7953 + 11.2223i 0.712923 + 0.476360i
\(556\) −25.4725 2.99585i −1.08027 0.127052i
\(557\) −1.91577 + 9.63121i −0.0811736 + 0.408087i 0.918739 + 0.394865i \(0.129209\pi\)
−0.999913 + 0.0132219i \(0.995791\pi\)
\(558\) 9.23338 + 12.6988i 0.390880 + 0.537584i
\(559\) 0.950448 + 0.950448i 0.0401997 + 0.0401997i
\(560\) 7.39604 + 0.279686i 0.312540 + 0.0118189i
\(561\) −5.54981 + 5.54981i −0.234313 + 0.234313i
\(562\) −6.83742 1.08036i −0.288419 0.0455723i
\(563\) 9.75123 + 1.93964i 0.410965 + 0.0817461i 0.396243 0.918146i \(-0.370314\pi\)
0.0147220 + 0.999892i \(0.495314\pi\)
\(564\) 5.65436 + 19.9925i 0.238091 + 0.841836i
\(565\) 10.8414 16.2253i 0.456100 0.682602i
\(566\) −1.80943 + 4.91024i −0.0760561 + 0.206393i
\(567\) 3.12592 7.54664i 0.131276 0.316929i
\(568\) −3.22371 + 1.05138i −0.135264 + 0.0441151i
\(569\) 12.1558 + 29.3467i 0.509599 + 1.23028i 0.944115 + 0.329616i \(0.106919\pi\)
−0.434517 + 0.900664i \(0.643081\pi\)
\(570\) 0.858848 + 21.6560i 0.0359732 + 0.907068i
\(571\) −14.9708 + 2.97788i −0.626510 + 0.124621i −0.498127 0.867104i \(-0.665979\pi\)
−0.128383 + 0.991725i \(0.540979\pi\)
\(572\) 1.47398 + 0.477727i 0.0616304 + 0.0199748i
\(573\) −30.6626 + 20.4881i −1.28095 + 0.855901i
\(574\) −3.07204 + 5.01726i −0.128225 + 0.209417i
\(575\) 2.95647 0.123293
\(576\) −25.5747 + 41.9418i −1.06561 + 1.74757i
\(577\) −29.9355 −1.24623 −0.623116 0.782129i \(-0.714134\pi\)
−0.623116 + 0.782129i \(0.714134\pi\)
\(578\) −12.2908 + 20.0734i −0.511231 + 0.834942i
\(579\) 41.2041 27.5317i 1.71238 1.14418i
\(580\) −13.5143 + 41.6971i −0.561150 + 1.73138i
\(581\) −6.24479 + 1.24217i −0.259078 + 0.0515337i
\(582\) 1.62722 + 41.0305i 0.0674504 + 1.70077i
\(583\) −1.04974 2.53429i −0.0434758 0.104960i
\(584\) 5.16108 + 2.62253i 0.213567 + 0.108521i
\(585\) 0.975614 2.35534i 0.0403367 0.0973814i
\(586\) −0.504474 + 1.36899i −0.0208396 + 0.0565524i
\(587\) 15.2402 22.8085i 0.629029 0.941408i −0.370890 0.928677i \(-0.620947\pi\)
0.999919 0.0127316i \(-0.00405269\pi\)
\(588\) 37.0584 10.4810i 1.52826 0.432230i
\(589\) 3.85840 + 0.767483i 0.158982 + 0.0316236i
\(590\) 27.3824 + 4.32661i 1.12731 + 0.178124i
\(591\) 28.2400 28.2400i 1.16164 1.16164i
\(592\) 10.4250 + 4.78741i 0.428467 + 0.196762i
\(593\) 23.4309 + 23.4309i 0.962194 + 0.962194i 0.999311 0.0371172i \(-0.0118175\pi\)
−0.0371172 + 0.999311i \(0.511817\pi\)
\(594\) −34.3278 47.2116i −1.40849 1.93712i
\(595\) 0.215569 1.08374i 0.00883747 0.0444290i
\(596\) 5.15610 43.8401i 0.211202 1.79576i
\(597\) 9.50323 + 6.34986i 0.388941 + 0.259882i
\(598\) 0.730826 + 1.58375i 0.0298857 + 0.0647644i
\(599\) −14.1017 5.84110i −0.576179 0.238661i 0.0755132 0.997145i \(-0.475940\pi\)
−0.651692 + 0.758484i \(0.725940\pi\)
\(600\) −2.87132 2.25843i −0.117221 0.0922000i
\(601\) 16.4696 6.82193i 0.671809 0.278272i −0.0205894 0.999788i \(-0.506554\pi\)
0.692398 + 0.721516i \(0.256554\pi\)
\(602\) −5.74835 + 6.22313i −0.234285 + 0.253636i
\(603\) −1.26765 6.37288i −0.0516225 0.259524i
\(604\) 0.440782 + 5.54844i 0.0179351 + 0.225763i
\(605\) 10.2221 + 15.2984i 0.415586 + 0.621968i
\(606\) −15.5302 64.5832i −0.630871 2.62351i
\(607\) 10.7750i 0.437344i 0.975798 + 0.218672i \(0.0701724\pi\)
−0.975798 + 0.218672i \(0.929828\pi\)
\(608\) 2.42348 + 12.0676i 0.0982852 + 0.489404i
\(609\) 22.5904i 0.915411i
\(610\) −10.2911 + 2.47469i −0.416676 + 0.100197i
\(611\) −0.340210 0.509160i −0.0137634 0.0205984i
\(612\) 5.58025 + 4.75889i 0.225568 + 0.192367i
\(613\) −3.48904 17.5406i −0.140921 0.708457i −0.985043 0.172307i \(-0.944878\pi\)
0.844122 0.536150i \(-0.180122\pi\)
\(614\) −15.3086 14.1407i −0.617805 0.570671i
\(615\) 34.0812 14.1169i 1.37429 0.569248i
\(616\) −2.64049 + 9.40219i −0.106388 + 0.378825i
\(617\) 32.6001 + 13.5034i 1.31243 + 0.543626i 0.925592 0.378523i \(-0.123568\pi\)
0.386837 + 0.922148i \(0.373568\pi\)
\(618\) −54.8615 + 25.3160i −2.20685 + 1.01836i
\(619\) 1.79801 + 1.20140i 0.0722683 + 0.0482881i 0.591180 0.806540i \(-0.298662\pi\)
−0.518911 + 0.854828i \(0.673662\pi\)
\(620\) −6.61170 + 5.22014i −0.265532 + 0.209646i
\(621\) 12.8194 64.4473i 0.514423 2.58618i
\(622\) 37.6074 27.3445i 1.50792 1.09641i
\(623\) 4.04029 + 4.04029i 0.161871 + 0.161871i
\(624\) 0.500040 2.09641i 0.0200176 0.0839235i
\(625\) −19.0590 + 19.0590i −0.762360 + 0.762360i
\(626\) −3.50340 + 22.1724i −0.140024 + 0.886189i
\(627\) −28.0476 5.57902i −1.12012 0.222805i
\(628\) −19.2759 + 34.4791i −0.769193 + 1.37587i
\(629\) 0.951501 1.42402i 0.0379388 0.0567795i
\(630\) 15.0772 + 5.55595i 0.600688 + 0.221355i
\(631\) 9.48652 22.9025i 0.377652 0.911733i −0.614753 0.788720i \(-0.710744\pi\)
0.992405 0.123014i \(-0.0392558\pi\)
\(632\) 15.5402 + 18.1546i 0.618154 + 0.722149i
\(633\) −7.35945 17.7673i −0.292512 0.706186i
\(634\) −21.6700 + 0.859405i −0.860626 + 0.0341313i
\(635\) −18.1674 + 3.61371i −0.720950 + 0.143406i
\(636\) −3.39835 + 1.73470i −0.134753 + 0.0687852i
\(637\) −0.943787 + 0.630619i −0.0373942 + 0.0249860i
\(638\) −49.3246 30.2012i −1.95278 1.19568i
\(639\) −7.36149 −0.291216
\(640\) −23.0293 12.8192i −0.910314 0.506724i
\(641\) −22.8856 −0.903928 −0.451964 0.892036i \(-0.649277\pi\)
−0.451964 + 0.892036i \(0.649277\pi\)
\(642\) −53.4986 32.7569i −2.11142 1.29281i
\(643\) 10.6628 7.12468i 0.420501 0.280970i −0.327264 0.944933i \(-0.606127\pi\)
0.747765 + 0.663963i \(0.231127\pi\)
\(644\) −9.79163 + 4.99817i −0.385844 + 0.196955i
\(645\) 52.1008 10.3635i 2.05147 0.408062i
\(646\) 1.83614 0.0728189i 0.0722419 0.00286502i
\(647\) 16.6415 + 40.1760i 0.654243 + 1.57948i 0.806561 + 0.591151i \(0.201326\pi\)
−0.152318 + 0.988332i \(0.548674\pi\)
\(648\) −22.0982 + 18.9159i −0.868100 + 0.743087i
\(649\) −13.9981 + 33.7944i −0.549474 + 1.32655i
\(650\) 0.101028 + 0.0372288i 0.00396263 + 0.00146023i
\(651\) 2.41206 3.60991i 0.0945362 0.141483i
\(652\) 12.4513 22.2718i 0.487629 0.872230i
\(653\) −15.7287 3.12864i −0.615512 0.122433i −0.122519 0.992466i \(-0.539097\pi\)
−0.492993 + 0.870033i \(0.664097\pi\)
\(654\) −4.48529 + 28.3866i −0.175389 + 1.11000i
\(655\) −5.93731 + 5.93731i −0.231990 + 0.231990i
\(656\) 17.8468 10.9727i 0.696800 0.428412i
\(657\) 8.88710 + 8.88710i 0.346719 + 0.346719i
\(658\) 3.12162 2.26974i 0.121693 0.0884838i
\(659\) −3.67625 + 18.4817i −0.143206 + 0.719947i 0.840734 + 0.541448i \(0.182124\pi\)
−0.983940 + 0.178498i \(0.942876\pi\)
\(660\) 48.0621 37.9465i 1.87081 1.47707i
\(661\) 1.08878 + 0.727500i 0.0423487 + 0.0282965i 0.576564 0.817052i \(-0.304393\pi\)
−0.534216 + 0.845348i \(0.679393\pi\)
\(662\) 37.0339 17.0894i 1.43936 0.664198i
\(663\) −0.297268 0.123132i −0.0115449 0.00478206i
\(664\) 21.8294 + 6.13053i 0.847147 + 0.237911i
\(665\) 3.71959 1.54071i 0.144240 0.0597460i
\(666\) 18.2946 + 16.8989i 0.708902 + 0.654819i
\(667\) −12.7016 63.8553i −0.491808 2.47249i
\(668\) −7.57769 6.46232i −0.293190 0.250035i
\(669\) 9.49558 + 14.2111i 0.367120 + 0.549435i
\(670\) 3.38964 0.815100i 0.130953 0.0314901i
\(671\) 13.9661i 0.539154i
\(672\) 13.3277 + 2.62555i 0.514126 + 0.101283i
\(673\) 29.4054i 1.13349i −0.823892 0.566747i \(-0.808202\pi\)
0.823892 0.566747i \(-0.191798\pi\)
\(674\) 9.83759 + 40.9102i 0.378930 + 1.57580i
\(675\) −2.25348 3.37257i −0.0867364 0.129810i
\(676\) −2.05399 25.8550i −0.0789994 0.994424i
\(677\) 0.168449 + 0.846851i 0.00647403 + 0.0325471i 0.983887 0.178790i \(-0.0572182\pi\)
−0.977413 + 0.211337i \(0.932218\pi\)
\(678\) 24.3012 26.3083i 0.933280 1.01036i
\(679\) 7.04734 2.91911i 0.270452 0.112025i
\(680\) −2.43266 + 3.09283i −0.0932882 + 0.118605i
\(681\) −18.2418 7.55600i −0.699027 0.289546i
\(682\) −4.65728 10.0926i −0.178336 0.386467i
\(683\) −24.3032 16.2389i −0.929937 0.621364i −0.00438760 0.999990i \(-0.501397\pi\)
−0.925550 + 0.378626i \(0.876397\pi\)
\(684\) −3.12127 + 26.5388i −0.119345 + 1.01474i
\(685\) 6.09625 30.6479i 0.232926 1.17100i
\(686\) −8.83119 12.1457i −0.337176 0.463725i
\(687\) 46.3486 + 46.3486i 1.76831 + 1.76831i
\(688\) 28.2887 10.4836i 1.07849 0.399683i
\(689\) 0.0795181 0.0795181i 0.00302940 0.00302940i
\(690\) 68.0892 + 10.7586i 2.59211 + 0.409572i
\(691\) −36.6353 7.28722i −1.39367 0.277219i −0.559550 0.828797i \(-0.689026\pi\)
−0.834123 + 0.551578i \(0.814026\pi\)
\(692\) 39.8973 11.2839i 1.51667 0.428950i
\(693\) −11.7791 + 17.6287i −0.447451 + 0.669658i
\(694\) −6.35123 + 17.2353i −0.241090 + 0.654243i
\(695\) 11.4328 27.6011i 0.433670 1.04697i
\(696\) −36.4429 + 71.7188i −1.38136 + 2.71849i
\(697\) −1.19693 2.88963i −0.0453368 0.109453i
\(698\) −0.428433 10.8030i −0.0162164 0.408900i
\(699\) 11.4986 2.28722i 0.434917 0.0865104i
\(700\) −0.209227 + 0.645551i −0.00790804 + 0.0243995i
\(701\) −8.75861 + 5.85232i −0.330808 + 0.221039i −0.709871 0.704332i \(-0.751247\pi\)
0.379062 + 0.925371i \(0.376247\pi\)
\(702\) 1.24960 2.04085i 0.0471631 0.0770268i
\(703\) 6.24022 0.235354
\(704\) 23.5505 25.5899i 0.887591 0.964455i
\(705\) −24.2011 −0.911465
\(706\) −19.8310 + 32.3880i −0.746350 + 1.21894i
\(707\) −10.2597 + 6.85531i −0.385855 + 0.257820i
\(708\) 48.4003 + 15.6868i 1.81899 + 0.589547i
\(709\) −14.6656 + 2.91717i −0.550778 + 0.109557i −0.462631 0.886551i \(-0.653094\pi\)
−0.0881469 + 0.996107i \(0.528094\pi\)
\(710\) −0.156517 3.94659i −0.00587398 0.148113i
\(711\) 19.8541 + 47.9319i 0.744585 + 1.79759i
\(712\) −6.30909 19.3447i −0.236443 0.724972i
\(713\) 4.78837 11.5601i 0.179326 0.432931i
\(714\) 0.701217 1.90289i 0.0262424 0.0712138i
\(715\) −1.00272 + 1.50068i −0.0374996 + 0.0561221i
\(716\) −3.65059 12.9076i −0.136429 0.482381i
\(717\) −68.1603 13.5579i −2.54549 0.506330i
\(718\) 3.87358 + 0.612053i 0.144561 + 0.0228416i
\(719\) 24.2122 24.2122i 0.902963 0.902963i −0.0927286 0.995691i \(-0.529559\pi\)
0.995691 + 0.0927286i \(0.0295589\pi\)
\(720\) −38.9032 41.9611i −1.44984 1.56380i
\(721\) 7.93659 + 7.93659i 0.295574 + 0.295574i
\(722\) −11.8644 16.3173i −0.441546 0.607266i
\(723\) −3.93586 + 19.7869i −0.146376 + 0.735883i
\(724\) −43.0893 5.06779i −1.60140 0.188343i
\(725\) −3.34159 2.23278i −0.124103 0.0829233i
\(726\) 14.1488 + 30.6614i 0.525111 + 1.13795i
\(727\) −20.4528 8.47184i −0.758553 0.314203i −0.0303271 0.999540i \(-0.509655\pi\)
−0.728226 + 0.685337i \(0.759655\pi\)
\(728\) −0.397535 + 0.0474965i −0.0147336 + 0.00176034i
\(729\) 21.2183 8.78890i 0.785862 0.325515i
\(730\) −4.57554 + 4.95345i −0.169349 + 0.183336i
\(731\) −0.878686 4.41746i −0.0324994 0.163385i
\(732\) −19.3649 + 1.53840i −0.715749 + 0.0568608i
\(733\) 2.00568 + 3.00171i 0.0740814 + 0.110871i 0.866660 0.498899i \(-0.166262\pi\)
−0.792579 + 0.609769i \(0.791262\pi\)
\(734\) −6.17505 25.6793i −0.227925 0.947839i
\(735\) 44.8595i 1.65467i
\(736\) 39.1489 0.0720449i 1.44305 0.00265561i
\(737\) 4.60007i 0.169446i
\(738\) 44.2221 10.6340i 1.62784 0.391443i
\(739\) 19.0522 + 28.5137i 0.700847 + 1.04889i 0.995635 + 0.0933295i \(0.0297510\pi\)
−0.294788 + 0.955563i \(0.595249\pi\)
\(740\) −8.67076 + 10.1673i −0.318743 + 0.373757i
\(741\) −0.228717 1.14984i −0.00840211 0.0422403i
\(742\) 0.520651 + 0.480929i 0.0191137 + 0.0176555i
\(743\) −41.6805 + 17.2646i −1.52911 + 0.633378i −0.979391 0.201973i \(-0.935265\pi\)
−0.549718 + 0.835351i \(0.685265\pi\)
\(744\) −13.4812 + 7.56938i −0.494243 + 0.277507i
\(745\) 47.5037 + 19.6767i 1.74040 + 0.720898i
\(746\) −47.3188 + 21.8354i −1.73246 + 0.799450i
\(747\) 40.9292 + 27.3480i 1.49752 + 1.00061i
\(748\) −3.21736 4.07503i −0.117638 0.148998i
\(749\) −2.27340 + 11.4292i −0.0830683 + 0.417612i
\(750\) −36.8394 + 26.7861i −1.34518 + 0.978089i
\(751\) −30.7983 30.7983i −1.12385 1.12385i −0.991158 0.132689i \(-0.957639\pi\)
−0.132689 0.991158i \(-0.542361\pi\)
\(752\) −13.5719 + 2.17006i −0.494915 + 0.0791339i
\(753\) 53.0955 53.0955i 1.93491 1.93491i
\(754\) 0.370050 2.34198i 0.0134764 0.0852901i
\(755\) −6.35871 1.26483i −0.231417 0.0460317i
\(756\) 13.1650 + 7.36001i 0.478805 + 0.267681i
\(757\) 11.2220 16.7948i 0.407869 0.610419i −0.569492 0.821997i \(-0.692860\pi\)
0.977361 + 0.211578i \(0.0678602\pi\)
\(758\) −35.9552 13.2495i −1.30595 0.481245i
\(759\) −34.8078 + 84.0335i −1.26344 + 3.05022i
\(760\) −14.2942 1.10910i −0.518505 0.0402312i
\(761\) 10.6346 + 25.6742i 0.385504 + 0.930689i 0.990880 + 0.134749i \(0.0430228\pi\)
−0.605376 + 0.795940i \(0.706977\pi\)
\(762\) −33.9695 + 1.34719i −1.23058 + 0.0488034i
\(763\) 5.23605 1.04151i 0.189558 0.0377054i
\(764\) −11.0912 21.7282i −0.401267 0.786100i
\(765\) −7.10297 + 4.74605i −0.256808 + 0.171594i
\(766\) 15.0361 + 9.20654i 0.543277 + 0.332646i
\(767\) −1.49958 −0.0541466
\(768\) −38.0763 29.8356i −1.37396 1.07660i
\(769\) 52.8993 1.90760 0.953798 0.300448i \(-0.0971361\pi\)
0.953798 + 0.300448i \(0.0971361\pi\)
\(770\) −9.70142 5.94012i −0.349615 0.214067i
\(771\) −42.9249 + 28.6815i −1.54590 + 1.03294i
\(772\) 14.9043 + 29.1982i 0.536418 + 1.05087i
\(773\) 21.6566