Properties

Label 441.2.y.a.121.46
Level $441$
Weight $2$
Character 441.121
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.y (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 121.46
Character \(\chi\) \(=\) 441.121
Dual form 441.2.y.a.277.46

$q$-expansion

\(f(q)\) \(=\) \(q+(1.87576 - 0.903317i) q^{2} +(-1.02234 + 1.39815i) q^{3} +(1.45550 - 1.82514i) q^{4} +(3.54626 - 1.09388i) q^{5} +(-0.654701 + 3.54608i) q^{6} +(-0.389198 - 2.61697i) q^{7} +(0.154941 - 0.678840i) q^{8} +(-0.909624 - 2.85877i) q^{9} +O(q^{10})\) \(q+(1.87576 - 0.903317i) q^{2} +(-1.02234 + 1.39815i) q^{3} +(1.45550 - 1.82514i) q^{4} +(3.54626 - 1.09388i) q^{5} +(-0.654701 + 3.54608i) q^{6} +(-0.389198 - 2.61697i) q^{7} +(0.154941 - 0.678840i) q^{8} +(-0.909624 - 2.85877i) q^{9} +(5.66381 - 5.25525i) q^{10} +(0.165900 - 2.21379i) q^{11} +(1.06379 + 3.90093i) q^{12} +(-0.363777 + 4.85427i) q^{13} +(-3.09399 - 4.55723i) q^{14} +(-2.09610 + 6.07651i) q^{15} +(0.716350 + 3.13854i) q^{16} +(-1.40024 + 3.56776i) q^{17} +(-4.28861 - 4.54069i) q^{18} +(3.03118 - 5.25016i) q^{19} +(3.16512 - 8.06458i) q^{20} +(4.05680 + 2.13129i) q^{21} +(-1.68856 - 4.30239i) q^{22} +(-4.24838 - 0.640340i) q^{23} +(0.790715 + 0.910638i) q^{24} +(7.24821 - 4.94175i) q^{25} +(3.70258 + 9.43403i) q^{26} +(4.92693 + 1.65086i) q^{27} +(-5.34283 - 3.09867i) q^{28} +(-0.721699 + 1.83886i) q^{29} +(1.55724 + 13.2915i) q^{30} +4.12498 q^{31} +(5.04706 + 6.32882i) q^{32} +(2.92559 + 2.49520i) q^{33} +(0.596304 + 7.95713i) q^{34} +(-4.24284 - 8.85472i) q^{35} +(-6.54164 - 2.50076i) q^{36} +(-3.95404 + 0.595975i) q^{37} +(0.943201 - 12.5861i) q^{38} +(-6.41507 - 5.47134i) q^{39} +(-0.193107 - 2.57683i) q^{40} +(-0.404886 - 0.375679i) q^{41} +(9.53480 + 0.333202i) q^{42} +(-9.53448 + 8.84671i) q^{43} +(-3.79901 - 3.52497i) q^{44} +(-6.35291 - 9.14294i) q^{45} +(-8.54736 + 2.63651i) q^{46} +(-0.548744 + 0.264261i) q^{47} +(-5.12049 - 2.20710i) q^{48} +(-6.69705 + 2.03704i) q^{49} +(9.13192 - 15.8169i) q^{50} +(-3.55672 - 5.60523i) q^{51} +(8.33026 + 7.72935i) q^{52} +(-8.57683 - 1.29275i) q^{53} +(10.7330 - 1.35396i) q^{54} +(-1.83328 - 8.03214i) q^{55} +(-1.83681 - 0.141272i) q^{56} +(4.24158 + 9.60550i) q^{57} +(0.307341 + 4.10118i) q^{58} +(1.93803 + 8.49108i) q^{59} +(8.03962 + 12.6701i) q^{60} +(0.249787 + 0.313223i) q^{61} +(7.73747 - 3.72617i) q^{62} +(-7.12730 + 3.49309i) q^{63} +(9.38310 + 4.51867i) q^{64} +(4.01992 + 17.6124i) q^{65} +(7.74165 + 2.03766i) q^{66} -12.0016 q^{67} +(4.47362 + 7.74855i) q^{68} +(5.23860 - 5.28521i) q^{69} +(-15.9572 - 12.7767i) q^{70} +(10.0694 - 12.6266i) q^{71} +(-2.08159 + 0.174548i) q^{72} +(0.134019 + 1.78836i) q^{73} +(-6.87846 + 4.68966i) q^{74} +(-0.500885 + 15.1862i) q^{75} +(-5.17040 - 13.1740i) q^{76} +(-5.85798 + 0.427446i) q^{77} +(-16.9755 - 4.46808i) q^{78} -2.02728 q^{79} +(5.97354 + 10.3465i) q^{80} +(-7.34517 + 5.20082i) q^{81} +(-1.09882 - 0.338942i) q^{82} +(-0.862033 - 11.5030i) q^{83} +(9.79460 - 4.30215i) q^{84} +(-1.06294 + 14.1839i) q^{85} +(-9.89299 + 25.2069i) q^{86} +(-1.83317 - 2.88899i) q^{87} +(-1.47710 - 0.455626i) q^{88} +(-0.636347 + 0.433854i) q^{89} +(-20.1755 - 11.4112i) q^{90} +(12.8450 - 0.937279i) q^{91} +(-7.35225 + 6.82189i) q^{92} +(-4.21715 + 5.76733i) q^{93} +(-0.790599 + 0.991380i) q^{94} +(5.00633 - 21.9342i) q^{95} +(-14.0084 + 0.586300i) q^{96} +(-0.988406 - 1.71197i) q^{97} +(-10.7219 + 9.87055i) q^{98} +(-6.47962 + 1.53944i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 5q^{2} - 13q^{3} - 109q^{4} - 12q^{5} + 2q^{6} - 7q^{7} - 16q^{8} - 3q^{9} + O(q^{10}) \) \( 648q - 5q^{2} - 13q^{3} - 109q^{4} - 12q^{5} + 2q^{6} - 7q^{7} - 16q^{8} - 3q^{9} - 22q^{10} - 8q^{11} - 64q^{12} - 4q^{13} - 26q^{14} - 4q^{15} - 97q^{16} - 37q^{17} - q^{18} - 14q^{19} - 11q^{20} - 33q^{21} - q^{22} + 31q^{23} - 20q^{24} + 38q^{25} - 44q^{26} - 49q^{27} - 22q^{28} + 73q^{29} - 12q^{30} - 20q^{31} - q^{32} - 43q^{33} - 7q^{34} - 32q^{35} + 20q^{36} - 39q^{37} - 40q^{38} + q^{39} - q^{40} - 17q^{41} + 82q^{42} - q^{43} - 31q^{44} - 177q^{45} + 56q^{46} + 5q^{47} - 23q^{48} - q^{49} - 21q^{50} - 18q^{51} - 48q^{52} + 50q^{53} - 15q^{54} + 20q^{55} + 127q^{56} + 33q^{57} - 82q^{58} + 53q^{59} + 43q^{60} + 42q^{61} - 30q^{62} + 57q^{63} - 88q^{64} - 11q^{65} - 90q^{66} - 26q^{67} + 145q^{68} + 64q^{69} - 46q^{70} - 19q^{71} - 46q^{72} - 40q^{73} + 18q^{74} - 114q^{75} + 43q^{76} + 7q^{77} - 129q^{78} - 26q^{79} + 163q^{80} + 85q^{81} - 28q^{82} - 221q^{83} - 113q^{84} - 10q^{85} - 18q^{86} + 37q^{87} - 4q^{88} - 104q^{89} - 60q^{90} - 49q^{91} + 119q^{92} - 149q^{93} - 13q^{94} + 37q^{95} + 186q^{96} - 11q^{97} - 33q^{98} + 62q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{19}{21}\right)\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.87576 0.903317i 1.32636 0.638742i 0.369484 0.929237i \(-0.379534\pi\)
0.956876 + 0.290495i \(0.0938201\pi\)
\(3\) −1.02234 + 1.39815i −0.590251 + 0.807220i
\(4\) 1.45550 1.82514i 0.727752 0.912572i
\(5\) 3.54626 1.09388i 1.58594 0.489197i 0.628492 0.777816i \(-0.283672\pi\)
0.957444 + 0.288619i \(0.0931962\pi\)
\(6\) −0.654701 + 3.54608i −0.267281 + 1.44768i
\(7\) −0.389198 2.61697i −0.147103 0.989121i
\(8\) 0.154941 0.678840i 0.0547799 0.240006i
\(9\) −0.909624 2.85877i −0.303208 0.952924i
\(10\) 5.66381 5.25525i 1.79105 1.66185i
\(11\) 0.165900 2.21379i 0.0500208 0.667482i −0.914688 0.404161i \(-0.867563\pi\)
0.964709 0.263320i \(-0.0848175\pi\)
\(12\) 1.06379 + 3.90093i 0.307090 + 1.12610i
\(13\) −0.363777 + 4.85427i −0.100894 + 1.34633i 0.685259 + 0.728299i \(0.259689\pi\)
−0.786153 + 0.618032i \(0.787930\pi\)
\(14\) −3.09399 4.55723i −0.826905 1.21797i
\(15\) −2.09610 + 6.07651i −0.541211 + 1.56895i
\(16\) 0.716350 + 3.13854i 0.179088 + 0.784634i
\(17\) −1.40024 + 3.56776i −0.339609 + 0.865310i 0.654414 + 0.756137i \(0.272916\pi\)
−0.994023 + 0.109173i \(0.965180\pi\)
\(18\) −4.28861 4.54069i −1.01084 1.07025i
\(19\) 3.03118 5.25016i 0.695400 1.20447i −0.274645 0.961546i \(-0.588560\pi\)
0.970046 0.242923i \(-0.0781063\pi\)
\(20\) 3.16512 8.06458i 0.707741 1.80330i
\(21\) 4.05680 + 2.13129i 0.885266 + 0.465085i
\(22\) −1.68856 4.30239i −0.360003 0.917272i
\(23\) −4.24838 0.640340i −0.885849 0.133520i −0.309670 0.950844i \(-0.600219\pi\)
−0.576179 + 0.817324i \(0.695457\pi\)
\(24\) 0.790715 + 0.910638i 0.161404 + 0.185883i
\(25\) 7.24821 4.94175i 1.44964 0.988349i
\(26\) 3.70258 + 9.43403i 0.726137 + 1.85017i
\(27\) 4.92693 + 1.65086i 0.948188 + 0.317709i
\(28\) −5.34283 3.09867i −1.00970 0.585593i
\(29\) −0.721699 + 1.83886i −0.134016 + 0.341468i −0.982091 0.188410i \(-0.939667\pi\)
0.848074 + 0.529877i \(0.177762\pi\)
\(30\) 1.55724 + 13.2915i 0.284311 + 2.42669i
\(31\) 4.12498 0.740869 0.370434 0.928859i \(-0.379209\pi\)
0.370434 + 0.928859i \(0.379209\pi\)
\(32\) 5.04706 + 6.32882i 0.892203 + 1.11879i
\(33\) 2.92559 + 2.49520i 0.509280 + 0.434359i
\(34\) 0.596304 + 7.95713i 0.102265 + 1.36464i
\(35\) −4.24284 8.85472i −0.717171 1.49672i
\(36\) −6.54164 2.50076i −1.09027 0.416794i
\(37\) −3.95404 + 0.595975i −0.650040 + 0.0979777i −0.465781 0.884900i \(-0.654227\pi\)
−0.184259 + 0.982878i \(0.558988\pi\)
\(38\) 0.943201 12.5861i 0.153007 2.04174i
\(39\) −6.41507 5.47134i −1.02723 0.876116i
\(40\) −0.193107 2.57683i −0.0305329 0.407433i
\(41\) −0.404886 0.375679i −0.0632325 0.0586712i 0.647924 0.761705i \(-0.275638\pi\)
−0.711156 + 0.703034i \(0.751828\pi\)
\(42\) 9.53480 + 0.333202i 1.47125 + 0.0514142i
\(43\) −9.53448 + 8.84671i −1.45399 + 1.34911i −0.639759 + 0.768575i \(0.720966\pi\)
−0.814236 + 0.580534i \(0.802844\pi\)
\(44\) −3.79901 3.52497i −0.572722 0.531409i
\(45\) −6.35291 9.14294i −0.947036 1.36295i
\(46\) −8.54736 + 2.63651i −1.26024 + 0.388733i
\(47\) −0.548744 + 0.264261i −0.0800425 + 0.0385465i −0.473477 0.880806i \(-0.657001\pi\)
0.393434 + 0.919353i \(0.371287\pi\)
\(48\) −5.12049 2.20710i −0.739079 0.318568i
\(49\) −6.69705 + 2.03704i −0.956721 + 0.291006i
\(50\) 9.13192 15.8169i 1.29145 2.23685i
\(51\) −3.55672 5.60523i −0.498041 0.784889i
\(52\) 8.33026 + 7.72935i 1.15520 + 1.07187i
\(53\) −8.57683 1.29275i −1.17812 0.177573i −0.469348 0.883013i \(-0.655511\pi\)
−0.708769 + 0.705440i \(0.750749\pi\)
\(54\) 10.7330 1.35396i 1.46057 0.184251i
\(55\) −1.83328 8.03214i −0.247200 1.08305i
\(56\) −1.83681 0.141272i −0.245454 0.0188783i
\(57\) 4.24158 + 9.60550i 0.561811 + 1.27228i
\(58\) 0.307341 + 4.10118i 0.0403558 + 0.538511i
\(59\) 1.93803 + 8.49108i 0.252310 + 1.10544i 0.929263 + 0.369418i \(0.120443\pi\)
−0.676953 + 0.736026i \(0.736700\pi\)
\(60\) 8.03962 + 12.6701i 1.03791 + 1.63570i
\(61\) 0.249787 + 0.313223i 0.0319820 + 0.0401041i 0.797565 0.603233i \(-0.206121\pi\)
−0.765583 + 0.643337i \(0.777550\pi\)
\(62\) 7.73747 3.72617i 0.982659 0.473224i
\(63\) −7.12730 + 3.49309i −0.897955 + 0.440088i
\(64\) 9.38310 + 4.51867i 1.17289 + 0.564833i
\(65\) 4.01992 + 17.6124i 0.498610 + 2.18455i
\(66\) 7.74165 + 2.03766i 0.952932 + 0.250819i
\(67\) −12.0016 −1.46623 −0.733115 0.680105i \(-0.761934\pi\)
−0.733115 + 0.680105i \(0.761934\pi\)
\(68\) 4.47362 + 7.74855i 0.542507 + 0.939649i
\(69\) 5.23860 5.28521i 0.630653 0.636264i
\(70\) −15.9572 12.7767i −1.90725 1.52710i
\(71\) 10.0694 12.6266i 1.19501 1.49850i 0.374154 0.927366i \(-0.377933\pi\)
0.820858 0.571132i \(-0.193496\pi\)
\(72\) −2.08159 + 0.174548i −0.245317 + 0.0205707i
\(73\) 0.134019 + 1.78836i 0.0156858 + 0.209312i 0.999540 + 0.0303385i \(0.00965854\pi\)
−0.983854 + 0.178973i \(0.942722\pi\)
\(74\) −6.87846 + 4.68966i −0.799605 + 0.545161i
\(75\) −0.500885 + 15.1862i −0.0578373 + 1.75355i
\(76\) −5.17040 13.1740i −0.593086 1.51116i
\(77\) −5.85798 + 0.427446i −0.667578 + 0.0487120i
\(78\) −16.9755 4.46808i −1.92209 0.505910i
\(79\) −2.02728 −0.228087 −0.114044 0.993476i \(-0.536380\pi\)
−0.114044 + 0.993476i \(0.536380\pi\)
\(80\) 5.97354 + 10.3465i 0.667862 + 1.15677i
\(81\) −7.34517 + 5.20082i −0.816130 + 0.577868i
\(82\) −1.09882 0.338942i −0.121345 0.0374299i
\(83\) −0.862033 11.5030i −0.0946204 1.26262i −0.819231 0.573463i \(-0.805599\pi\)
0.724611 0.689158i \(-0.242020\pi\)
\(84\) 9.79460 4.30215i 1.06868 0.469403i
\(85\) −1.06294 + 14.1839i −0.115292 + 1.53846i
\(86\) −9.89299 + 25.2069i −1.06679 + 2.71813i
\(87\) −1.83317 2.88899i −0.196536 0.309732i
\(88\) −1.47710 0.455626i −0.157460 0.0485698i
\(89\) −0.636347 + 0.433854i −0.0674527 + 0.0459884i −0.596577 0.802556i \(-0.703473\pi\)
0.529124 + 0.848544i \(0.322521\pi\)
\(90\) −20.1755 11.4112i −2.12668 1.20285i
\(91\) 12.8450 0.937279i 1.34653 0.0982535i
\(92\) −7.35225 + 6.82189i −0.766525 + 0.711231i
\(93\) −4.21715 + 5.76733i −0.437298 + 0.598044i
\(94\) −0.790599 + 0.991380i −0.0815441 + 0.102253i
\(95\) 5.00633 21.9342i 0.513639 2.25040i
\(96\) −14.0084 + 0.586300i −1.42973 + 0.0598390i
\(97\) −0.988406 1.71197i −0.100357 0.173824i 0.811474 0.584388i \(-0.198665\pi\)
−0.911832 + 0.410564i \(0.865332\pi\)
\(98\) −10.7219 + 9.87055i −1.08308 + 0.997076i
\(99\) −6.47962 + 1.53944i −0.651226 + 0.154720i
\(100\) 1.53040 20.4218i 0.153040 2.04218i
\(101\) 3.34636 + 3.10497i 0.332975 + 0.308956i 0.828886 0.559418i \(-0.188975\pi\)
−0.495911 + 0.868373i \(0.665166\pi\)
\(102\) −11.7349 7.30120i −1.16192 0.722927i
\(103\) −5.92363 + 1.82720i −0.583673 + 0.180039i −0.572509 0.819899i \(-0.694030\pi\)
−0.0111637 + 0.999938i \(0.503554\pi\)
\(104\) 3.23891 + 0.999070i 0.317601 + 0.0979669i
\(105\) 16.7178 + 3.12046i 1.63149 + 0.304526i
\(106\) −17.2558 + 5.32271i −1.67603 + 0.516987i
\(107\) 8.76565 5.97632i 0.847408 0.577753i −0.0599076 0.998204i \(-0.519081\pi\)
0.907315 + 0.420451i \(0.138128\pi\)
\(108\) 10.1842 6.58952i 0.979978 0.634077i
\(109\) 3.43567 + 2.34240i 0.329077 + 0.224361i 0.716576 0.697509i \(-0.245708\pi\)
−0.387498 + 0.921870i \(0.626661\pi\)
\(110\) −10.6944 13.4103i −1.01967 1.27862i
\(111\) 3.20913 6.13761i 0.304597 0.582556i
\(112\) 7.93465 3.09618i 0.749754 0.292561i
\(113\) 5.71476 3.89626i 0.537599 0.366529i −0.263876 0.964557i \(-0.585001\pi\)
0.801476 + 0.598028i \(0.204049\pi\)
\(114\) 16.6330 + 14.1861i 1.55782 + 1.32865i
\(115\) −15.7663 + 2.37639i −1.47022 + 0.221600i
\(116\) 2.30575 + 3.99367i 0.214083 + 0.370803i
\(117\) 14.2081 3.37560i 1.31354 0.312074i
\(118\) 11.3054 + 14.1765i 1.04075 + 1.30506i
\(119\) 9.88170 + 2.27583i 0.905854 + 0.208625i
\(120\) 3.80021 + 2.36442i 0.346910 + 0.215841i
\(121\) 6.00381 + 0.904929i 0.545801 + 0.0822663i
\(122\) 0.751480 + 0.361894i 0.0680358 + 0.0327643i
\(123\) 0.939187 0.182016i 0.0846836 0.0164118i
\(124\) 6.00393 7.52869i 0.539169 0.676096i
\(125\) 8.72910 10.9460i 0.780755 0.979036i
\(126\) −10.2137 + 12.9904i −0.909910 + 1.15728i
\(127\) −7.98294 10.0103i −0.708371 0.888270i 0.289246 0.957255i \(-0.406595\pi\)
−0.997618 + 0.0689850i \(0.978024\pi\)
\(128\) 5.49250 0.485473
\(129\) −2.62146 22.3750i −0.230807 1.97001i
\(130\) 23.4500 + 29.4054i 2.05670 + 2.57902i
\(131\) −8.58574 + 7.96640i −0.750139 + 0.696028i −0.959468 0.281818i \(-0.909063\pi\)
0.209329 + 0.977845i \(0.432872\pi\)
\(132\) 8.81231 1.70784i 0.767014 0.148648i
\(133\) −14.9192 5.88915i −1.29366 0.510654i
\(134\) −22.5121 + 10.8413i −1.94475 + 0.936542i
\(135\) 19.2780 + 0.464941i 1.65919 + 0.0400157i
\(136\) 2.20499 + 1.50333i 0.189076 + 0.128910i
\(137\) 19.4716 + 6.00621i 1.66358 + 0.513145i 0.976878 0.213798i \(-0.0685836\pi\)
0.686697 + 0.726943i \(0.259060\pi\)
\(138\) 5.05212 14.6459i 0.430065 1.24674i
\(139\) 6.02663 + 5.59189i 0.511172 + 0.474298i 0.893077 0.449903i \(-0.148542\pi\)
−0.381906 + 0.924201i \(0.624732\pi\)
\(140\) −22.3366 5.14429i −1.88779 0.434772i
\(141\) 0.191530 1.03739i 0.0161297 0.0873640i
\(142\) 7.48187 32.7802i 0.627864 2.75085i
\(143\) 10.6860 + 1.61065i 0.893604 + 0.134689i
\(144\) 8.32075 4.90277i 0.693396 0.408564i
\(145\) −0.547848 + 7.31053i −0.0454963 + 0.607106i
\(146\) 1.86684 + 3.23347i 0.154501 + 0.267604i
\(147\) 3.99861 11.4460i 0.329800 0.944051i
\(148\) −4.66738 + 8.08414i −0.383656 + 0.664512i
\(149\) 1.79462 + 1.22355i 0.147021 + 0.100237i 0.634597 0.772844i \(-0.281166\pi\)
−0.487576 + 0.873081i \(0.662119\pi\)
\(150\) 12.7784 + 28.9381i 1.04335 + 2.36279i
\(151\) −5.44130 13.8642i −0.442807 1.12825i −0.961867 0.273516i \(-0.911813\pi\)
0.519061 0.854737i \(-0.326282\pi\)
\(152\) −3.09436 2.87115i −0.250986 0.232881i
\(153\) 11.4731 + 0.757658i 0.927547 + 0.0612530i
\(154\) −10.6020 + 6.09339i −0.854335 + 0.491020i
\(155\) 14.6283 4.51222i 1.17497 0.362430i
\(156\) −19.3232 + 3.74486i −1.54709 + 0.299829i
\(157\) 3.24393 + 14.2126i 0.258894 + 1.13429i 0.922436 + 0.386149i \(0.126195\pi\)
−0.663543 + 0.748138i \(0.730948\pi\)
\(158\) −3.80269 + 1.83128i −0.302526 + 0.145689i
\(159\) 10.5759 10.6700i 0.838725 0.846188i
\(160\) 24.8211 + 16.9228i 1.96228 + 1.33786i
\(161\) −0.0222883 + 11.3671i −0.00175656 + 0.895853i
\(162\) −9.07977 + 16.3905i −0.713374 + 1.28776i
\(163\) −5.17145 1.59518i −0.405059 0.124944i 0.0855291 0.996336i \(-0.472742\pi\)
−0.490588 + 0.871391i \(0.663218\pi\)
\(164\) −1.27498 + 0.192172i −0.0995593 + 0.0150062i
\(165\) 13.1043 + 5.64841i 1.02017 + 0.439728i
\(166\) −12.0078 20.7982i −0.931990 1.61425i
\(167\) 3.08638 0.465197i 0.238832 0.0359981i −0.0285357 0.999593i \(-0.509084\pi\)
0.267367 + 0.963595i \(0.413846\pi\)
\(168\) 2.07537 2.42369i 0.160118 0.186992i
\(169\) −10.5768 1.59419i −0.813597 0.122630i
\(170\) 10.8188 + 27.5658i 0.829761 + 2.11420i
\(171\) −17.7662 3.88979i −1.35862 0.297460i
\(172\) 2.26904 + 30.2782i 0.173013 + 2.30869i
\(173\) 3.21158 4.02719i 0.244172 0.306181i −0.644611 0.764511i \(-0.722981\pi\)
0.888782 + 0.458329i \(0.151552\pi\)
\(174\) −6.04825 3.76311i −0.458517 0.285281i
\(175\) −15.7534 17.0450i −1.19084 1.28848i
\(176\) 7.06689 1.06516i 0.532687 0.0802896i
\(177\) −13.8531 5.97115i −1.04126 0.448819i
\(178\) −0.801725 + 1.38863i −0.0600918 + 0.104082i
\(179\) 5.47292 13.9448i 0.409065 1.04228i −0.566790 0.823862i \(-0.691815\pi\)
0.975855 0.218418i \(-0.0700898\pi\)
\(180\) −25.9339 1.71261i −1.93300 0.127651i
\(181\) 18.0341 + 8.68477i 1.34047 + 0.645534i 0.960192 0.279340i \(-0.0901157\pi\)
0.380273 + 0.924874i \(0.375830\pi\)
\(182\) 23.2475 13.3613i 1.72322 0.990402i
\(183\) −0.693300 + 0.0290169i −0.0512502 + 0.00214499i
\(184\) −1.09294 + 2.78476i −0.0805723 + 0.205295i
\(185\) −13.3701 + 6.43871i −0.982991 + 0.473384i
\(186\) −2.70063 + 14.6275i −0.198020 + 1.07254i
\(187\) 7.66597 + 3.69173i 0.560591 + 0.269966i
\(188\) −0.316384 + 1.38617i −0.0230747 + 0.101097i
\(189\) 2.40271 13.5361i 0.174771 0.984609i
\(190\) −10.4228 45.6655i −0.756153 3.31292i
\(191\) 4.43599 19.4354i 0.320977 1.40629i −0.514840 0.857286i \(-0.672149\pi\)
0.835818 0.549007i \(-0.184994\pi\)
\(192\) −15.9105 + 8.49932i −1.14824 + 0.613385i
\(193\) 2.13500 9.35403i 0.153680 0.673318i −0.838116 0.545492i \(-0.816343\pi\)
0.991797 0.127826i \(-0.0407999\pi\)
\(194\) −3.40046 2.31840i −0.244139 0.166451i
\(195\) −28.7345 12.3855i −2.05772 0.886946i
\(196\) −6.02969 + 15.1880i −0.430692 + 1.08486i
\(197\) 0.343001 0.0244378 0.0122189 0.999925i \(-0.496111\pi\)
0.0122189 + 0.999925i \(0.496111\pi\)
\(198\) −10.7636 + 8.74077i −0.764935 + 0.621179i
\(199\) 0.487732 0.150445i 0.0345744 0.0106648i −0.277420 0.960749i \(-0.589479\pi\)
0.311994 + 0.950084i \(0.399003\pi\)
\(200\) −2.23161 5.68605i −0.157799 0.402065i
\(201\) 12.2698 16.7800i 0.865443 1.18357i
\(202\) 9.08172 + 2.80134i 0.638988 + 0.197102i
\(203\) 5.09312 + 1.17298i 0.357467 + 0.0823273i
\(204\) −15.4072 1.66690i −1.07872 0.116706i
\(205\) −1.84678 0.889361i −0.128984 0.0621157i
\(206\) −9.46075 + 8.77830i −0.659162 + 0.611613i
\(207\) 2.03384 + 12.7276i 0.141362 + 0.884631i
\(208\) −15.4959 + 2.33563i −1.07445 + 0.161947i
\(209\) −11.1199 7.58139i −0.769176 0.524415i
\(210\) 34.1774 9.24827i 2.35846 0.638191i
\(211\) −17.3903 + 11.8565i −1.19720 + 0.816238i −0.986890 0.161397i \(-0.948400\pi\)
−0.210311 + 0.977634i \(0.567448\pi\)
\(212\) −14.8431 + 13.7723i −1.01943 + 0.945889i
\(213\) 7.35944 + 26.9871i 0.504261 + 1.84913i
\(214\) 11.0437 19.1283i 0.754933 1.30758i
\(215\) −24.1346 + 41.8023i −1.64596 + 2.85089i
\(216\) 1.88406 3.08881i 0.128194 0.210167i
\(217\) −1.60544 10.7950i −0.108984 0.732809i
\(218\) 8.56041 + 1.29027i 0.579784 + 0.0873884i
\(219\) −2.63740 1.64094i −0.178219 0.110885i
\(220\) −17.3282 8.34480i −1.16826 0.562607i
\(221\) −16.8095 8.09503i −1.13073 0.544531i
\(222\) 0.475334 14.4115i 0.0319023 0.967239i
\(223\) 1.77538 + 0.267595i 0.118888 + 0.0179195i 0.208217 0.978083i \(-0.433234\pi\)
−0.0893287 + 0.996002i \(0.528472\pi\)
\(224\) 14.5980 15.6712i 0.975370 1.04707i
\(225\) −20.7205 16.2259i −1.38136 1.08172i
\(226\) 7.19994 12.4707i 0.478933 0.829537i
\(227\) −0.620761 + 1.07519i −0.0412014 + 0.0713628i −0.885891 0.463894i \(-0.846452\pi\)
0.844689 + 0.535257i \(0.179785\pi\)
\(228\) 23.7051 + 6.23936i 1.56991 + 0.413212i
\(229\) −6.31368 + 5.85824i −0.417220 + 0.387124i −0.860660 0.509181i \(-0.829948\pi\)
0.443440 + 0.896304i \(0.353758\pi\)
\(230\) −27.4272 + 18.6995i −1.80849 + 1.23301i
\(231\) 5.39124 8.62730i 0.354717 0.567635i
\(232\) 1.13647 + 0.774833i 0.0746130 + 0.0508703i
\(233\) 11.4840 1.73094i 0.752343 0.113397i 0.238335 0.971183i \(-0.423398\pi\)
0.514008 + 0.857786i \(0.328160\pi\)
\(234\) 23.6018 19.1663i 1.54290 1.25294i
\(235\) −1.65692 + 1.53740i −0.108086 + 0.100289i
\(236\) 18.3183 + 8.82161i 1.19242 + 0.574238i
\(237\) 2.07258 2.83444i 0.134629 0.184116i
\(238\) 20.5915 4.65741i 1.33475 0.301895i
\(239\) 22.8194 + 7.03885i 1.47606 + 0.455305i 0.925261 0.379331i \(-0.123846\pi\)
0.550802 + 0.834636i \(0.314322\pi\)
\(240\) −20.5729 2.22578i −1.32797 0.143673i
\(241\) −8.63209 21.9942i −0.556042 1.41677i −0.881938 0.471366i \(-0.843761\pi\)
0.325896 0.945406i \(-0.394334\pi\)
\(242\) 12.0791 3.72592i 0.776476 0.239511i
\(243\) 0.237793 15.5866i 0.0152544 0.999884i
\(244\) 0.935244 0.0598729
\(245\) −21.5212 + 14.5496i −1.37494 + 0.929541i
\(246\) 1.59727 1.18980i 0.101838 0.0758589i
\(247\) 24.3830 + 16.6240i 1.55145 + 1.05776i
\(248\) 0.639128 2.80020i 0.0405847 0.177813i
\(249\) 16.9642 + 10.5548i 1.07506 + 0.668884i
\(250\) 6.48602 28.4171i 0.410212 1.79726i
\(251\) −2.20862 9.67659i −0.139407 0.610781i −0.995566 0.0940683i \(-0.970013\pi\)
0.856159 0.516712i \(-0.172844\pi\)
\(252\) −3.99842 + 18.0925i −0.251877 + 1.13972i
\(253\) −2.12238 + 9.29877i −0.133433 + 0.584609i
\(254\) −24.0165 11.5658i −1.50693 0.725700i
\(255\) −18.7445 15.9870i −1.17383 1.00114i
\(256\) −8.46362 + 4.07586i −0.528976 + 0.254741i
\(257\) 1.37997 3.51611i 0.0860802 0.219329i −0.881351 0.472461i \(-0.843366\pi\)
0.967432 + 0.253133i \(0.0814609\pi\)
\(258\) −25.1289 39.6020i −1.56446 2.46551i
\(259\) 3.09855 + 10.1156i 0.192535 + 0.628555i
\(260\) 37.9962 + 18.2980i 2.35643 + 1.13480i
\(261\) 5.91336 + 0.390504i 0.366028 + 0.0241716i
\(262\) −8.90857 + 22.6987i −0.550374 + 1.40233i
\(263\) −5.52076 + 9.56224i −0.340425 + 0.589633i −0.984512 0.175320i \(-0.943904\pi\)
0.644087 + 0.764952i \(0.277237\pi\)
\(264\) 2.14714 1.59940i 0.132147 0.0984361i
\(265\) −31.8298 + 4.79757i −1.95529 + 0.294712i
\(266\) −33.3046 + 2.43018i −2.04204 + 0.149004i
\(267\) 0.0439746 1.33325i 0.00269120 0.0815938i
\(268\) −17.4684 + 21.9047i −1.06705 + 1.33804i
\(269\) −1.12627 15.0290i −0.0686697 0.916333i −0.920054 0.391791i \(-0.871856\pi\)
0.851385 0.524542i \(-0.175763\pi\)
\(270\) 36.5809 16.5421i 2.22624 1.00672i
\(271\) 11.2563 + 28.6807i 0.683773 + 1.74223i 0.670045 + 0.742320i \(0.266275\pi\)
0.0137279 + 0.999906i \(0.495630\pi\)
\(272\) −12.2006 1.83895i −0.739772 0.111503i
\(273\) −11.8216 + 18.9175i −0.715476 + 1.14494i
\(274\) 41.9496 6.32288i 2.53427 0.381979i
\(275\) −9.73749 16.8658i −0.587192 1.01705i
\(276\) −2.02147 17.2538i −0.121678 1.03856i
\(277\) 20.3584 3.06854i 1.22322 0.184371i 0.494497 0.869179i \(-0.335352\pi\)
0.728723 + 0.684809i \(0.240114\pi\)
\(278\) 16.3557 + 5.04508i 0.980952 + 0.302584i
\(279\) −3.75218 11.7924i −0.224637 0.705992i
\(280\) −6.66833 + 1.50825i −0.398509 + 0.0901353i
\(281\) −13.4890 9.19666i −0.804688 0.548627i 0.0896741 0.995971i \(-0.471417\pi\)
−0.894362 + 0.447344i \(0.852370\pi\)
\(282\) −0.577829 2.11890i −0.0344092 0.126179i
\(283\) −9.88677 + 4.76122i −0.587707 + 0.283025i −0.704011 0.710189i \(-0.748610\pi\)
0.116304 + 0.993214i \(0.462895\pi\)
\(284\) −8.38933 36.7561i −0.497815 2.18107i
\(285\) 25.5490 + 29.4239i 1.51339 + 1.74292i
\(286\) 21.4992 6.63162i 1.27127 0.392136i
\(287\) −0.825559 + 1.20579i −0.0487312 + 0.0711753i
\(288\) 13.5017 20.1852i 0.795597 1.18943i
\(289\) 1.69362 + 1.57145i 0.0996248 + 0.0924383i
\(290\) 5.57609 + 14.2077i 0.327440 + 0.834302i
\(291\) 3.40408 + 0.368287i 0.199550 + 0.0215893i
\(292\) 3.45908 + 2.35836i 0.202428 + 0.138013i
\(293\) 0.622609 1.07839i 0.0363732 0.0630002i −0.847266 0.531169i \(-0.821753\pi\)
0.883639 + 0.468169i \(0.155086\pi\)
\(294\) −2.83895 25.0819i −0.165571 1.46281i
\(295\) 16.1610 + 27.9916i 0.940928 + 1.62973i
\(296\) −0.208070 + 2.77650i −0.0120938 + 0.161381i
\(297\) 4.47204 10.6333i 0.259494 0.617006i
\(298\) 4.47152 + 0.673973i 0.259028 + 0.0390422i
\(299\) 4.65385 20.3898i 0.269139 1.17917i
\(300\) 26.9880 + 23.0178i 1.55815 + 1.32893i
\(301\) 26.8624 + 21.5083i 1.54832 + 1.23972i
\(302\) −22.7303 21.0907i −1.30798 1.21363i
\(303\) −7.76233 + 1.50435i −0.445934 + 0.0864227i
\(304\) 18.6492 + 5.75252i 1.06960 + 0.329929i
\(305\) 1.22844 + 0.837535i 0.0703402 + 0.0479571i
\(306\) 22.2052 8.94269i 1.26939 0.511220i
\(307\) 17.6021 8.47672i 1.00460 0.483792i 0.142106 0.989851i \(-0.454613\pi\)
0.862499 + 0.506059i \(0.168898\pi\)
\(308\) −7.74616 + 11.3138i −0.441378 + 0.644664i
\(309\) 3.50130 10.1501i 0.199182 0.577420i
\(310\) 23.3631 21.6778i 1.32694 1.23122i
\(311\) 6.84832 + 8.58752i 0.388333 + 0.486954i 0.937120 0.349009i \(-0.113482\pi\)
−0.548787 + 0.835962i \(0.684910\pi\)
\(312\) −4.70812 + 3.50707i −0.266545 + 0.198549i
\(313\) −1.86252 −0.105276 −0.0526380 0.998614i \(-0.516763\pi\)
−0.0526380 + 0.998614i \(0.516763\pi\)
\(314\) 18.9233 + 23.7291i 1.06790 + 1.33911i
\(315\) −21.4542 + 20.1838i −1.20881 + 1.13723i
\(316\) −2.95072 + 3.70008i −0.165991 + 0.208146i
\(317\) 11.2306 14.0827i 0.630773 0.790964i −0.359042 0.933321i \(-0.616897\pi\)
0.989815 + 0.142357i \(0.0454681\pi\)
\(318\) 10.1995 29.5678i 0.571957 1.65808i
\(319\) 3.95111 + 1.90276i 0.221220 + 0.106534i
\(320\) 38.2178 + 5.76041i 2.13644 + 0.322017i
\(321\) −0.605748 + 18.3655i −0.0338095 + 1.02506i
\(322\) 10.2263 + 21.3421i 0.569889 + 1.18935i
\(323\) 14.4869 + 18.1660i 0.806075 + 1.01079i
\(324\) −1.19868 + 20.9758i −0.0665935 + 1.16532i
\(325\) 21.3518 + 36.9824i 1.18439 + 2.05142i
\(326\) −11.1413 + 1.67929i −0.617062 + 0.0930071i
\(327\) −6.78745 + 2.40883i −0.375347 + 0.133208i
\(328\) −0.317759 + 0.216645i −0.0175453 + 0.0119622i
\(329\) 0.905133 + 1.33320i 0.0499016 + 0.0735015i
\(330\) 29.6829 1.24233i 1.63399 0.0683878i
\(331\) 8.53066 + 10.6971i 0.468888 + 0.587966i 0.958898 0.283750i \(-0.0915786\pi\)
−0.490011 + 0.871716i \(0.663007\pi\)
\(332\) −22.2494 15.1694i −1.22109 0.832528i
\(333\) 5.30044 + 10.7616i 0.290463 + 0.589731i
\(334\) 5.36909 3.66058i 0.293783 0.200298i
\(335\) −42.5608 + 13.1283i −2.32535 + 0.717275i
\(336\) −3.78303 + 14.2592i −0.206381 + 0.777901i
\(337\) −21.3907 6.59816i −1.16523 0.359424i −0.348980 0.937130i \(-0.613472\pi\)
−0.816245 + 0.577706i \(0.803948\pi\)
\(338\) −21.2795 + 6.56386i −1.15745 + 0.357027i
\(339\) −0.394917 + 11.9734i −0.0214489 + 0.650305i
\(340\) 24.3406 + 22.5848i 1.32005 + 1.22483i
\(341\) 0.684336 9.13183i 0.0370589 0.494516i
\(342\) −36.8389 + 8.75225i −1.99202 + 0.473268i
\(343\) 7.93735 + 16.7332i 0.428576 + 0.903506i
\(344\) 4.52822 + 7.84310i 0.244145 + 0.422872i
\(345\) 12.7961 24.4731i 0.688917 1.31759i
\(346\) 2.38631 10.4551i 0.128289 0.562070i
\(347\) 3.03527 3.80610i 0.162942 0.204322i −0.693657 0.720305i \(-0.744002\pi\)
0.856599 + 0.515983i \(0.172573\pi\)
\(348\) −7.94101 0.859137i −0.425683 0.0460546i
\(349\) −3.17431 + 2.94533i −0.169917 + 0.157660i −0.760548 0.649282i \(-0.775069\pi\)
0.590631 + 0.806942i \(0.298879\pi\)
\(350\) −44.9466 17.7420i −2.40250 0.948351i
\(351\) −9.80604 + 23.3161i −0.523408 + 1.24452i
\(352\) 14.8480 10.1232i 0.791398 0.539566i
\(353\) −0.511387 0.157742i −0.0272184 0.00839575i 0.281116 0.959674i \(-0.409295\pi\)
−0.308334 + 0.951278i \(0.599772\pi\)
\(354\) −31.3789 + 1.31331i −1.66777 + 0.0698017i
\(355\) 21.8967 55.7918i 1.16215 2.96112i
\(356\) −0.134359 + 1.79290i −0.00712104 + 0.0950236i
\(357\) −13.2844 + 11.4894i −0.703087 + 0.608082i
\(358\) −2.33068 31.1008i −0.123180 1.64373i
\(359\) −29.6449 9.14423i −1.56460 0.482614i −0.613030 0.790060i \(-0.710050\pi\)
−0.951566 + 0.307446i \(0.900526\pi\)
\(360\) −7.19092 + 2.89599i −0.378995 + 0.152632i
\(361\) −8.87611 15.3739i −0.467163 0.809151i
\(362\) 41.6727 2.19027
\(363\) −7.40319 + 7.46906i −0.388567 + 0.392024i
\(364\) 16.9853 24.8083i 0.890274 1.30031i
\(365\) 2.43151 + 6.19540i 0.127271 + 0.324282i
\(366\) −1.27425 + 0.680699i −0.0666062 + 0.0355807i
\(367\) −23.3848 + 15.9435i −1.22068 + 0.832244i −0.990039 0.140796i \(-0.955034\pi\)
−0.230638 + 0.973040i \(0.574081\pi\)
\(368\) −1.03360 13.7924i −0.0538800 0.718979i
\(369\) −0.705687 + 1.49920i −0.0367366 + 0.0780454i
\(370\) −19.2629 + 24.1549i −1.00143 + 1.25576i
\(371\) −0.0449967 + 22.9484i −0.00233611 + 1.19142i
\(372\) 4.38812 + 16.0913i 0.227514 + 0.834294i
\(373\) −1.45804 2.52541i −0.0754947 0.130761i 0.825807 0.563953i \(-0.190720\pi\)
−0.901301 + 0.433193i \(0.857387\pi\)
\(374\) 17.7143 0.915985
\(375\) 6.37988 + 23.3951i 0.329456 + 1.20812i
\(376\) 0.0943682 + 0.413454i 0.00486667 + 0.0213223i
\(377\) −8.66378 4.17226i −0.446207 0.214882i
\(378\) −7.72053 27.5609i −0.397101 1.41758i
\(379\) 7.92353 3.81577i 0.407004 0.196003i −0.219169 0.975687i \(-0.570335\pi\)
0.626173 + 0.779684i \(0.284620\pi\)
\(380\) −32.7463 41.0626i −1.67985 2.10646i
\(381\) 22.1572 0.927350i 1.13515 0.0475096i
\(382\) −9.23545 40.4631i −0.472527 2.07027i
\(383\) −1.99623 26.6378i −0.102003 1.36113i −0.779868 0.625944i \(-0.784714\pi\)
0.677865 0.735186i \(-0.262905\pi\)
\(384\) −5.61522 + 7.67931i −0.286551 + 0.391883i
\(385\) −20.3063 + 7.92374i −1.03491 + 0.403831i
\(386\) −4.44492 19.4745i −0.226241 0.991224i
\(387\) 33.9635 + 19.2097i 1.72646 + 0.976486i
\(388\) −4.56322 0.687795i −0.231663 0.0349175i
\(389\) −15.4886 14.3713i −0.785303 0.728655i 0.181718 0.983351i \(-0.441834\pi\)
−0.967021 + 0.254696i \(0.918025\pi\)
\(390\) −65.0870 + 2.72410i −3.29581 + 0.137940i
\(391\) 8.23336 14.2606i 0.416379 0.721189i
\(392\) 0.345178 + 4.86185i 0.0174341 + 0.245560i
\(393\) −2.36061 20.1485i −0.119077 1.01636i
\(394\) 0.643386 0.309838i 0.0324133 0.0156094i
\(395\) −7.18927 + 2.21760i −0.361732 + 0.111579i
\(396\) −6.62141 + 14.0669i −0.332738 + 0.706888i
\(397\) −26.5722 24.6554i −1.33362 1.23742i −0.949357 0.314198i \(-0.898264\pi\)
−0.384265 0.923223i \(-0.625545\pi\)
\(398\) 0.778966 0.722775i 0.0390461 0.0362294i
\(399\) 23.4865 14.8385i 1.17579 0.742855i
\(400\) 20.7021 + 19.2087i 1.03511 + 0.960437i
\(401\) 0.556196 + 7.42193i 0.0277751 + 0.370633i 0.993721 + 0.111888i \(0.0356899\pi\)
−0.965946 + 0.258745i \(0.916691\pi\)
\(402\) 7.85747 42.5587i 0.391895 2.12264i
\(403\) −1.50057 + 20.0238i −0.0747489 + 0.997455i
\(404\) 10.5377 1.58830i 0.524268 0.0790206i
\(405\) −20.3588 + 26.4782i −1.01164 + 1.31571i
\(406\) 10.6130 2.40047i 0.526716 0.119133i
\(407\) 0.663386 + 8.85226i 0.0328828 + 0.438790i
\(408\) −4.35614 + 1.54597i −0.215661 + 0.0765368i
\(409\) −4.18623 5.24937i −0.206996 0.259565i 0.667487 0.744622i \(-0.267370\pi\)
−0.874482 + 0.485057i \(0.838799\pi\)
\(410\) −4.26748 −0.210756
\(411\) −28.3043 + 21.0838i −1.39615 + 1.03999i
\(412\) −5.28697 + 13.4710i −0.260470 + 0.663667i
\(413\) 21.4666 8.37648i 1.05630 0.412180i
\(414\) 15.3121 + 22.0367i 0.752547 + 1.08305i
\(415\) −15.6399 39.8498i −0.767732 1.95615i
\(416\) −32.5578 + 22.1975i −1.59628 + 1.08832i
\(417\) −13.9796 + 2.70926i −0.684582 + 0.132673i
\(418\) −27.7065 4.17609i −1.35517 0.204259i
\(419\) 11.4969 + 29.2936i 0.561659 + 1.43108i 0.876250 + 0.481857i \(0.160037\pi\)
−0.314591 + 0.949227i \(0.601867\pi\)
\(420\) 30.0282 25.9706i 1.46522 1.26724i
\(421\) 4.43307 11.2953i 0.216055 0.550499i −0.781222 0.624254i \(-0.785403\pi\)
0.997276 + 0.0737552i \(0.0234983\pi\)
\(422\) −21.9099 + 37.9490i −1.06656 + 1.84733i
\(423\) 1.25461 + 1.32836i 0.0610014 + 0.0645869i
\(424\) −2.20647 + 5.62199i −0.107156 + 0.273028i
\(425\) 7.48172 + 32.7796i 0.362917 + 1.59004i
\(426\) 38.1825 + 43.9734i 1.84995 + 2.13052i
\(427\) 0.722479 0.775591i 0.0349632 0.0375335i
\(428\) 1.85079 24.6971i 0.0894616 1.19378i
\(429\) −13.1766 + 13.2939i −0.636175 + 0.641835i
\(430\) −7.50986 + 100.212i −0.362158 + 4.83266i
\(431\) −4.89712 + 4.54387i −0.235886 + 0.218870i −0.789254 0.614066i \(-0.789533\pi\)
0.553368 + 0.832937i \(0.313342\pi\)
\(432\) −1.65189 + 16.6459i −0.0794765 + 0.800879i
\(433\) 3.68199 16.1318i 0.176945 0.775247i −0.806085 0.591800i \(-0.798417\pi\)
0.983030 0.183447i \(-0.0587255\pi\)
\(434\) −12.7627 18.7985i −0.612628 0.902356i
\(435\) −9.66110 8.23985i −0.463214 0.395071i
\(436\) 9.27585 2.86122i 0.444233 0.137028i
\(437\) −16.2395 + 20.3637i −0.776840 + 0.974127i
\(438\) −6.42942 0.695599i −0.307210 0.0332370i
\(439\) 8.49370 4.09035i 0.405382 0.195222i −0.220070 0.975484i \(-0.570629\pi\)
0.625452 + 0.780262i \(0.284914\pi\)
\(440\) −5.73659 −0.273481
\(441\) 11.9152 + 17.2924i 0.567392 + 0.823448i
\(442\) −38.8429 −1.84757
\(443\) 18.5132 8.91550i 0.879589 0.423588i 0.0611149 0.998131i \(-0.480534\pi\)
0.818475 + 0.574543i \(0.194820\pi\)
\(444\) −6.53113 14.7904i −0.309954 0.701923i
\(445\) −1.78207 + 2.23465i −0.0844782 + 0.105932i
\(446\) 3.57190 1.10178i 0.169134 0.0521710i
\(447\) −3.54542 + 1.25825i −0.167693 + 0.0595131i
\(448\) 8.17332 26.3139i 0.386153 1.24322i
\(449\) 5.58897 24.4869i 0.263760 1.15561i −0.653376 0.757034i \(-0.726648\pi\)
0.917136 0.398574i \(-0.130495\pi\)
\(450\) −53.5237 11.7186i −2.52313 0.552421i
\(451\) −0.898843 + 0.834005i −0.0423249 + 0.0392718i
\(452\) 1.20662 16.1013i 0.0567548 0.757340i
\(453\) 24.9471 + 6.56626i 1.17212 + 0.308510i
\(454\) −0.193160 + 2.57754i −0.00906544 + 0.120970i
\(455\) 44.5266 17.3747i 2.08744 0.814540i
\(456\) 7.17779 1.39107i 0.336131 0.0651427i
\(457\) 1.80238 + 7.89675i 0.0843119 + 0.369395i 0.999429 0.0337940i \(-0.0107590\pi\)
−0.915117 + 0.403189i \(0.867902\pi\)
\(458\) −6.55109 + 16.6919i −0.306112 + 0.779961i
\(459\) −12.7888 + 15.2665i −0.596930 + 0.712580i
\(460\) −18.6107 + 32.2347i −0.867728 + 1.50295i
\(461\) 3.66002 9.32559i 0.170464 0.434336i −0.819955 0.572428i \(-0.806002\pi\)
0.990419 + 0.138092i \(0.0440969\pi\)
\(462\) 2.31946 21.0527i 0.107911 0.979461i
\(463\) 6.32272 + 16.1100i 0.293842 + 0.748697i 0.999206 + 0.0398513i \(0.0126884\pi\)
−0.705364 + 0.708846i \(0.749216\pi\)
\(464\) −6.28832 0.947812i −0.291928 0.0440010i
\(465\) −8.64638 + 25.0655i −0.400966 + 1.16238i
\(466\) 19.9776 13.6205i 0.925446 0.630959i
\(467\) −4.39934 11.2093i −0.203577 0.518707i 0.792226 0.610228i \(-0.208922\pi\)
−0.995803 + 0.0915214i \(0.970827\pi\)
\(468\) 14.5191 30.8451i 0.671144 1.42582i
\(469\) 4.67101 + 31.4078i 0.215687 + 1.45028i
\(470\) −1.71922 + 4.38051i −0.0793019 + 0.202058i
\(471\) −23.1877 9.99467i −1.06843 0.460530i
\(472\) 6.06436 0.279135
\(473\) 18.0029 + 22.5750i 0.827776 + 1.03800i
\(474\) 1.32726 7.18891i 0.0609632 0.330198i
\(475\) −3.97432 53.0336i −0.182354 2.43335i
\(476\) 18.5366 14.7231i 0.849622 0.674830i
\(477\) 4.10601 + 25.6951i 0.188001 + 1.17650i
\(478\) 49.1619 7.40997i 2.24862 0.338924i
\(479\) −0.714834 + 9.53880i −0.0326616 + 0.435839i 0.956771 + 0.290843i \(0.0939358\pi\)
−0.989432 + 0.144995i \(0.953683\pi\)
\(480\) −49.0363 + 17.4027i −2.23819 + 0.794320i
\(481\) −1.45463 19.4108i −0.0663256 0.885054i
\(482\) −36.0595 33.4583i −1.64246 1.52398i
\(483\) −15.8701 11.6523i −0.722114 0.530196i
\(484\) 10.3902 9.64070i 0.472282 0.438214i
\(485\) −5.37783 4.98990i −0.244195 0.226580i
\(486\) −13.6336 29.4516i −0.618434 1.33595i
\(487\) −25.1406 + 7.75484i −1.13923 + 0.351405i −0.806277 0.591539i \(-0.798521\pi\)
−0.332951 + 0.942944i \(0.608045\pi\)
\(488\) 0.251331 0.121034i 0.0113772 0.00547897i
\(489\) 7.51730 5.59962i 0.339944 0.253223i
\(490\) −27.2257 + 46.7320i −1.22993 + 2.11114i
\(491\) −2.93654 + 5.08623i −0.132524 + 0.229538i −0.924649 0.380821i \(-0.875642\pi\)
0.792125 + 0.610359i \(0.208975\pi\)
\(492\) 1.03478 1.97908i 0.0466517 0.0892236i
\(493\) −5.55006 5.14971i −0.249962 0.231931i
\(494\) 60.7534 + 9.15709i 2.73342 + 0.411997i
\(495\) −21.2945 + 12.5472i −0.957115 + 0.563953i
\(496\) 2.95493 + 12.9464i 0.132680 + 0.581311i
\(497\) −36.9623 21.4369i −1.65799 0.961579i
\(498\) 41.3551 + 4.47420i 1.85317 + 0.200494i
\(499\) 1.95950 + 26.1478i 0.0877195 + 1.17054i 0.851249 + 0.524762i \(0.175846\pi\)
−0.763529 + 0.645773i \(0.776535\pi\)
\(500\) −7.27269 31.8638i −0.325245 1.42499i
\(501\) −2.50493 + 4.79081i −0.111912 + 0.214037i
\(502\) −12.8839 16.1558i −0.575035 0.721071i
\(503\) −2.04870 + 0.986604i −0.0913472 + 0.0439905i −0.478999 0.877815i \(-0.659000\pi\)
0.387652 + 0.921806i \(0.373286\pi\)
\(504\) 1.26694 + 5.37952i 0.0564339 + 0.239623i
\(505\) 15.2635 + 7.35052i 0.679217 + 0.327094i
\(506\) 4.41866 + 19.3594i 0.196434 + 0.860632i
\(507\) 13.0420 13.1580i 0.579216 0.584369i
\(508\) −29.8894 −1.32613
\(509\) 11.0296 + 19.1038i 0.488877 + 0.846760i 0.999918 0.0127961i \(-0.00407325\pi\)
−0.511041 + 0.859556i \(0.670740\pi\)
\(510\) −49.6015 13.0555i −2.19639 0.578107i
\(511\) 4.62793 1.04675i 0.204727 0.0463055i
\(512\) −19.0429 + 23.8791i −0.841586 + 1.05532i
\(513\) 23.6017 20.8631i 1.04204 0.921128i
\(514\) −0.587670 7.84191i −0.0259210 0.345892i
\(515\) −19.0080 + 12.9594i −0.837593 + 0.571061i
\(516\) −44.6531 27.7823i −1.96574 1.22305i
\(517\) 0.493981 + 1.25864i 0.0217253 + 0.0553550i
\(518\) 14.9498 + 16.1755i 0.656855 + 0.710711i
\(519\) 2.34726 + 8.60742i 0.103033 + 0.377824i
\(520\) 12.5789 0.551620
\(521\) −18.5548 32.1378i −0.812899 1.40798i −0.910826 0.412789i \(-0.864555\pi\)
0.0979271 0.995194i \(-0.468779\pi\)
\(522\) 11.4448 4.60915i 0.500924 0.201737i
\(523\) −22.5280 6.94895i −0.985079 0.303856i −0.239956 0.970784i \(-0.577133\pi\)
−0.745123 + 0.666927i \(0.767609\pi\)
\(524\) 2.04325 + 27.2653i 0.0892600 + 1.19109i
\(525\) 39.9368 4.59965i 1.74299 0.200745i
\(526\) −1.71787 + 22.9234i −0.0749028 + 0.999509i
\(527\) −5.77598 + 14.7170i −0.251606 + 0.641081i
\(528\) −5.73554 + 10.9695i −0.249607 + 0.477386i
\(529\) −4.33947 1.33855i −0.188673 0.0581978i
\(530\) −55.3712 + 37.7515i −2.40517 + 1.63982i
\(531\) 22.5112 13.2641i 0.976902 0.575612i
\(532\) −32.4636 + 18.6581i −1.40747 + 0.808930i
\(533\) 1.97093 1.82876i 0.0853706 0.0792124i
\(534\) −1.12187 2.54058i −0.0485479 0.109942i
\(535\) 24.5479 30.7821i 1.06130 1.33083i
\(536\) −1.85954 + 8.14717i −0.0803199 + 0.351904i
\(537\) 13.9016 + 21.9083i 0.599899 + 0.945412i
\(538\) −15.6885 27.1733i −0.676381 1.17153i
\(539\) 3.39853 + 15.1638i 0.146385 + 0.653150i
\(540\) 28.9078 34.5085i 1.24400 1.48501i
\(541\) −2.00873 + 26.8047i −0.0863622 + 1.15242i 0.770696 + 0.637203i \(0.219909\pi\)
−0.857058 + 0.515220i \(0.827710\pi\)
\(542\) 47.0219 + 43.6299i 2.01976 + 1.87407i
\(543\) −30.5797 + 16.3355i −1.31230 + 0.701023i
\(544\) −29.6468 + 9.14484i −1.27110 + 0.392082i
\(545\) 14.7461 + 4.54856i 0.631653 + 0.194839i
\(546\) −5.08599 + 46.1632i −0.217660 + 1.97560i
\(547\) −25.8056 + 7.95998i −1.10337 + 0.340344i −0.792354 0.610061i \(-0.791145\pi\)
−0.311014 + 0.950405i \(0.600669\pi\)
\(548\) 39.3033 26.7965i 1.67895 1.14469i
\(549\) 0.668222 0.999000i 0.0285190 0.0426363i
\(550\) −33.5003 22.8401i −1.42846 0.973907i
\(551\) 7.46670 + 9.36295i 0.318092 + 0.398875i
\(552\) −2.77614 4.37506i −0.118160 0.186215i
\(553\) 0.789015 + 5.30533i 0.0335523 + 0.225606i
\(554\) 35.4156 24.1460i 1.50467 1.02586i
\(555\) 4.66661 25.2760i 0.198087 1.07291i
\(556\) 18.9778 2.86044i 0.804837 0.121310i
\(557\) −22.9348 39.7242i −0.971778 1.68317i −0.690181 0.723636i \(-0.742469\pi\)
−0.281597 0.959533i \(-0.590864\pi\)
\(558\) −17.6905 18.7303i −0.748897 0.792915i
\(559\) −39.4758 49.5011i −1.66965 2.09367i
\(560\) 24.7515 19.6594i 1.04594 0.830761i
\(561\) −12.9988 + 6.94391i −0.548811 + 0.293172i
\(562\) −33.6096 5.06584i −1.41774 0.213689i
\(563\) 20.1662 + 9.71151i 0.849902 + 0.409291i 0.807541 0.589811i \(-0.200798\pi\)
0.0423611 + 0.999102i \(0.486512\pi\)
\(564\) −1.61461 1.85950i −0.0679875 0.0782989i
\(565\) 16.0040 20.0684i 0.673293 0.844283i
\(566\) −14.2443 + 17.8618i −0.598732 + 0.750786i
\(567\) 16.4691 + 17.1979i 0.691637 + 0.722245i
\(568\) −7.01127 8.79185i −0.294186 0.368898i
\(569\) 10.8630 0.455400 0.227700 0.973731i \(-0.426879\pi\)
0.227700 + 0.973731i \(0.426879\pi\)
\(570\) 74.5028 + 32.1132i 3.12058 + 1.34507i
\(571\) −17.7984 22.3185i −0.744839 0.933999i 0.254615 0.967043i \(-0.418051\pi\)
−0.999454 + 0.0330436i \(0.989480\pi\)
\(572\) 18.4931 17.1591i 0.773236 0.717458i
\(573\) 22.6384 + 26.0718i 0.945731 + 1.08917i
\(574\) −0.459341 + 3.00750i −0.0191725 + 0.125531i
\(575\) −33.9576 + 16.3531i −1.41613 + 0.681971i
\(576\) 4.38274 30.9345i 0.182614 1.28894i
\(577\) −30.2506 20.6245i −1.25935 0.858611i −0.264948 0.964263i \(-0.585355\pi\)
−0.994403 + 0.105652i \(0.966307\pi\)
\(578\) 4.59634 + 1.41778i 0.191183 + 0.0589720i
\(579\) 10.8956 + 12.5481i 0.452806 + 0.521480i
\(580\) 12.5454 + 11.6404i 0.520918 + 0.483342i
\(581\) −29.7676 + 6.73287i −1.23497 + 0.279327i
\(582\) 6.71790 2.38414i 0.278466 0.0988259i
\(583\) −4.28477 + 18.7728i −0.177457 + 0.777489i
\(584\) 1.23478 + 0.186113i 0.0510954 + 0.00770139i
\(585\) 46.6933 27.5127i 1.93053 1.13751i
\(586\) 0.193735 2.58521i 0.00800311 0.106794i
\(587\) 10.1816 + 17.6351i 0.420240 + 0.727878i 0.995963 0.0897676i \(-0.0286124\pi\)
−0.575722 + 0.817645i \(0.695279\pi\)
\(588\) −15.0706 23.9578i −0.621502 0.988001i
\(589\) 12.5036 21.6568i 0.515200 0.892353i
\(590\) 55.5993 + 37.9070i 2.28899 + 1.56061i
\(591\) −0.350665 + 0.479565i −0.0144244 + 0.0197267i
\(592\) −4.70297 11.9830i −0.193291 0.492497i
\(593\) 31.9189 + 29.6164i 1.31075 + 1.21620i 0.960087 + 0.279700i \(0.0902352\pi\)
0.350666 + 0.936501i \(0.385955\pi\)
\(594\) −1.21677 23.9851i −0.0499248 0.984122i
\(595\) 37.5326 2.73868i 1.53869 0.112275i
\(596\) 4.84523 1.49456i 0.198468 0.0612194i
\(597\) −0.288285 + 0.835727i −0.0117987 + 0.0342040i
\(598\) −9.68900 42.4503i −0.396213 1.73592i
\(599\) −37.9488 + 18.2752i −1.55054 + 0.746703i −0.996324 0.0856664i \(-0.972698\pi\)
−0.554221 + 0.832370i \(0.686984\pi\)
\(600\) 10.2314 + 2.69299i 0.417695 + 0.109941i
\(601\) 30.6368 + 20.8878i 1.24970 + 0.852032i 0.993415 0.114570i \(-0.0365489\pi\)
0.256286 + 0.966601i \(0.417501\pi\)
\(602\) 69.8161 + 16.0792i 2.84549 + 0.655337i
\(603\) 10.9169 + 34.3099i 0.444573 + 1.39721i
\(604\) −33.2240 10.2483i −1.35187 0.416996i
\(605\) 22.2810 3.35832i 0.905851 0.136535i
\(606\) −13.2013 + 9.83364i −0.536268 + 0.399464i
\(607\) 16.6660 + 28.8663i 0.676451 + 1.17165i 0.976042 + 0.217580i \(0.0698163\pi\)
−0.299591 + 0.954068i \(0.596850\pi\)
\(608\) 48.5258 7.31409i 1.96798 0.296626i
\(609\) −6.84693 + 5.92174i −0.277452 + 0.239961i
\(610\) 3.06081 + 0.461343i 0.123929 + 0.0186792i
\(611\) −1.08317 2.75988i −0.0438205 0.111653i
\(612\) 18.0820 19.8373i 0.730922 0.801877i
\(613\) 3.09933 + 41.3576i 0.125181 + 1.67042i 0.607421 + 0.794380i \(0.292204\pi\)
−0.482240 + 0.876039i \(0.660177\pi\)
\(614\) 25.3601 31.8006i 1.02345 1.28337i
\(615\) 3.13150 1.67283i 0.126274 0.0674550i
\(616\) −0.617472 + 4.04286i −0.0248787 + 0.162891i
\(617\) −9.46900 + 1.42722i −0.381208 + 0.0574578i −0.336851 0.941558i \(-0.609362\pi\)
−0.0443566 + 0.999016i \(0.514124\pi\)
\(618\) −2.60119 22.2020i −0.104635 0.893094i
\(619\) 4.67305 8.09396i 0.187826 0.325324i −0.756699 0.653763i \(-0.773189\pi\)
0.944525 + 0.328439i \(0.106523\pi\)
\(620\) 13.0560 33.2663i 0.524343 1.33601i
\(621\) −19.8744 10.1684i −0.797531 0.408044i
\(622\) 20.6030 + 9.92190i 0.826107 + 0.397832i
\(623\) 1.38305 + 1.49645i 0.0554106 + 0.0599538i
\(624\) 12.5766 24.0533i 0.503466 0.962903i
\(625\) 2.95733 7.53515i 0.118293 0.301406i
\(626\) −3.49364 + 1.68245i −0.139634 + 0.0672442i
\(627\) 21.9682 7.79639i 0.877325 0.311358i
\(628\) 30.6616 + 14.7658i 1.22353 + 0.589221i
\(629\) 3.41032 14.9416i 0.135978 0.595760i
\(630\) −22.0106 + 57.2399i −0.876924 + 2.28049i
\(631\) −5.59522 24.5143i −0.222742 0.975898i −0.955403 0.295304i \(-0.904579\pi\)
0.732661 0.680594i \(-0.238278\pi\)
\(632\) −0.314109 + 1.37620i −0.0124946 + 0.0547423i
\(633\) 1.20175 36.4357i 0.0477655 1.44819i
\(634\) 8.34471 36.5606i 0.331411 1.45201i
\(635\) −39.2596 26.7668i −1.55797 1.06221i
\(636\) −4.08103 34.8328i −0.161823 1.38121i
\(637\) −7.45210 33.2503i −0.295263 1.31742i
\(638\) 9.13012 0.361465
\(639\) −45.2558 17.3006i −1.79029 0.684400i
\(640\) 19.4778 6.00812i 0.769929 0.237492i
\(641\) 3.43179 + 8.74406i 0.135548 + 0.345370i 0.982490 0.186315i \(-0.0596545\pi\)
−0.846943 + 0.531684i \(0.821559\pi\)
\(642\) 15.4537 + 34.9964i 0.609907 + 1.38120i
\(643\) −33.2821 10.2662i −1.31252 0.404858i −0.442009 0.897011i \(-0.645734\pi\)
−0.870509 + 0.492153i \(0.836210\pi\)
\(644\) 20.7142 + 16.5855i 0.816252 + 0.653562i
\(645\) −33.7719 76.4800i −1.32977 3.01140i
\(646\) 43.5837 + 20.9888i 1.71478 + 0.825793i
\(647\) −6.40860 + 5.94631i −0.251948 + 0.233774i −0.796028 0.605260i \(-0.793069\pi\)
0.544080 + 0.839033i \(0.316879\pi\)
\(648\) 2.39246 + 5.79201i 0.0939845 + 0.227532i
\(649\) 19.1189 2.88172i 0.750484 0.113117i
\(650\) 73.4577 + 50.0826i 2.88125 + 1.96440i
\(651\) 16.7342 + 8.79152i 0.655866 + 0.344567i
\(652\) −10.4385 + 7.11685i −0.408803 + 0.278717i
\(653\) 27.5240 25.5386i 1.07710 0.999402i 0.0771020 0.997023i \(-0.475433\pi\)
0.999997 0.00237882i \(-0.000757202\pi\)
\(654\) −10.5557 + 10.6496i −0.412760 + 0.416432i
\(655\) −21.7330 + 37.6427i −0.849179 + 1.47082i
\(656\) 0.889042 1.53987i 0.0347113 0.0601217i
\(657\) 4.99061 2.00987i 0.194702 0.0784124i
\(658\) 2.90211 + 1.68313i 0.113136 + 0.0656152i
\(659\) 7.55721 + 1.13907i 0.294387 + 0.0443717i 0.294575 0.955628i \(-0.404822\pi\)
−0.000188158 1.00000i \(0.500060\pi\)
\(660\) 29.3826 15.6960i 1.14372 0.610967i
\(661\) 3.31625 + 1.59702i 0.128987 + 0.0621169i 0.497264 0.867599i \(-0.334338\pi\)
−0.368277 + 0.929716i \(0.620052\pi\)
\(662\) 25.6643 + 12.3593i 0.997473 + 0.480357i
\(663\) 28.5031 15.2262i 1.10697 0.591338i
\(664\) −7.94228 1.19711i −0.308220 0.0464567i
\(665\) −59.3495 4.56467i −2.30147 0.177010i
\(666\) 19.6635 + 15.3981i 0.761944 + 0.596666i
\(667\) 4.24355 7.35004i 0.164311 0.284595i
\(668\) 3.64319 6.31019i 0.140959 0.244149i
\(669\) −2.18918 + 2.20866i −0.0846387 + 0.0853917i
\(670\) −67.9748 + 63.0714i −2.62610 + 2.43666i
\(671\) 0.734849 0.501011i 0.0283685 0.0193413i
\(672\) 6.98639 + 36.4315i 0.269506 + 1.40537i
\(673\) −17.8575 12.1750i −0.688354 0.469312i 0.167942 0.985797i \(-0.446288\pi\)
−0.856296 + 0.516485i \(0.827240\pi\)
\(674\) −46.0840 + 6.94604i −1.77509 + 0.267552i
\(675\) 43.8696 12.3818i 1.68854 0.476577i
\(676\) −18.3042 + 16.9838i −0.704006 + 0.653222i
\(677\) 2.73613 + 1.31765i 0.105158 + 0.0506414i 0.485723 0.874113i \(-0.338556\pi\)
−0.380565 + 0.924754i \(0.624271\pi\)
\(678\) 10.0750 + 22.8159i 0.386928 + 0.876239i
\(679\) −4.09549 + 3.25292i −0.157170 + 0.124836i
\(680\) 9.46392 + 2.91923i 0.362925 + 0.111947i
\(681\) −0.868640 1.96713i −0.0332864 0.0753805i
\(682\) −6.96529 17.7473i −0.266715 0.679578i
\(683\) 8.66506 2.67282i 0.331559 0.102272i −0.124506 0.992219i \(-0.539735\pi\)
0.456065 + 0.889946i \(0.349258\pi\)
\(684\) −32.9583 + 26.7644i −1.26019 + 1.02336i
\(685\) 75.6216 2.88935
\(686\) 30.0039 + 24.2174i 1.14555 + 0.924625i
\(687\) −1.73592 14.8166i −0.0662294 0.565288i
\(688\) −34.5957 23.5870i −1.31895 0.899245i
\(689\) 9.39540 41.1639i 0.357936 1.56822i
\(690\) 1.89535 57.4645i 0.0721546 2.18764i
\(691\) 8.80947 38.5968i 0.335128 1.46829i −0.473930 0.880562i \(-0.657165\pi\)
0.809058 0.587729i \(-0.199978\pi\)
\(692\) −2.67574 11.7232i −0.101716 0.445648i
\(693\) 6.55052 + 16.3578i 0.248834 + 0.621382i
\(694\) 2.25530 9.88114i 0.0856102 0.375083i
\(695\) 27.4888 + 13.2379i 1.04271 + 0.502143i
\(696\) −2.24519 + 0.796806i −0.0851039 + 0.0302029i
\(697\) 1.90727 0.918494i 0.0722431 0.0347905i
\(698\) −3.29367 + 8.39214i −0.124667 + 0.317647i
\(699\) −9.32052 + 17.8259i −0.352534 + 0.674239i
\(700\) −54.0387 + 3.94311i −2.04247 + 0.149035i
\(701\) −4.72790 2.27684i −0.178570 0.0859950i 0.342463 0.939531i \(-0.388739\pi\)
−0.521033 + 0.853536i \(0.674453\pi\)
\(702\) 2.66807 + 52.5933i 0.100700 + 1.98501i
\(703\) −8.85644 + 22.5658i −0.334027 + 0.851086i
\(704\) 11.5600 20.0225i 0.435685 0.754628i
\(705\) −0.455563 3.88837i −0.0171575 0.146444i
\(706\) −1.10173 + 0.166059i −0.0414641 + 0.00624971i
\(707\) 6.82320 9.96576i 0.256613 0.374801i
\(708\) −31.0615 + 16.5929i −1.16736 + 0.623598i
\(709\) −24.3814 + 30.5733i −0.915662 + 1.14820i 0.0728925 + 0.997340i \(0.476777\pi\)
−0.988555 + 0.150864i \(0.951794\pi\)
\(710\) −9.32485 124.431i −0.349955 4.66983i
\(711\) 1.84406 + 5.79554i 0.0691578 + 0.217350i
\(712\) 0.195921 + 0.499200i 0.00734247 + 0.0187083i
\(713\) −17.5245 2.64139i −0.656298 0.0989210i
\(714\) −14.5398 + 33.5514i −0.544140 + 1.25563i
\(715\) 39.6570 5.97734i 1.48309 0.223540i
\(716\) −17.4854 30.2855i −0.653458 1.13182i
\(717\) −33.1706 + 24.7087i −1.23878 + 0.922763i
\(718\) −63.8667 + 9.62635i −2.38348 + 0.359252i
\(719\) 41.0609 + 12.6656i 1.53131 + 0.472347i 0.942015 0.335570i \(-0.108929\pi\)
0.589296 + 0.807917i \(0.299405\pi\)
\(720\) 24.1445 26.4884i 0.899814 0.987164i
\(721\) 7.08719 + 14.7908i 0.263941 + 0.550839i
\(722\) −30.5369 20.8197i −1.13647 0.774829i
\(723\) 39.5761 + 10.4167i 1.47185 + 0.387403i
\(724\) 42.0997 20.2741i 1.56462 0.753483i
\(725\) 3.85615 + 16.8949i 0.143214 + 0.627461i
\(726\) −7.13966 + 20.6976i −0.264978 + 0.768159i
\(727\) 41.2682 12.7295i 1.53055 0.472112i 0.588759 0.808309i \(-0.299617\pi\)
0.941792 + 0.336196i \(0.109140\pi\)
\(728\) 1.35396 8.86495i 0.0501811 0.328557i
\(729\) 21.5493 + 16.2674i 0.798122 + 0.602496i
\(730\) 10.1573 + 9.42463i 0.375940 + 0.348821i
\(731\) −18.2124 46.4043i −0.673608 1.71633i
\(732\) −0.956141 + 1.30761i −0.0353400 + 0.0483306i
\(733\) 2.41421 + 1.64598i 0.0891708 + 0.0607956i 0.607085 0.794637i \(-0.292339\pi\)
−0.517914 + 0.855433i \(0.673291\pi\)
\(734\) −29.4622 + 51.0300i −1.08747 + 1.88355i
\(735\) 1.65961 44.9645i 0.0612155 1.65854i
\(736\) −17.3892 30.1191i −0.640976 1.11020i
\(737\) −1.99107 + 26.5690i −0.0733420 + 0.978681i
\(738\) 0.0305572 + 3.44960i 0.00112483 + 0.126982i
\(739\) −23.8243 3.59093i −0.876390 0.132095i −0.304586 0.952485i \(-0.598518\pi\)
−0.571804 + 0.820390i \(0.693756\pi\)
\(740\) −7.70869 + 33.7740i −0.283377 + 1.24156i
\(741\) −48.1706 + 17.0955i −1.76959 + 0.628018i
\(742\) 20.6453 + 43.0863i 0.757913 + 1.58175i
\(743\) 13.0239 + 12.0844i 0.477802 + 0.443335i 0.881939 0.471363i \(-0.156238\pi\)
−0.404138 + 0.914698i \(0.632428\pi\)
\(744\) 3.26168 + 3.75637i 0.119579 + 0.137715i
\(745\) 7.70260 + 2.37594i 0.282201 + 0.0870476i
\(746\) −5.01618 3.41997i −0.183655 0.125214i
\(747\) −32.1004 + 12.9278i −1.17449 + 0.473003i
\(748\) 17.8958 8.61816i 0.654335 0.315111i
\(749\) −19.0514 20.6135i −0.696124 0.753200i
\(750\) 33.1003 + 38.1205i 1.20865 + 1.39196i
\(751\) 9.79495 9.08839i 0.357423 0.331640i −0.480939 0.876754i \(-0.659704\pi\)
0.838362 + 0.545114i \(0.183514\pi\)
\(752\) −1.22249 1.53295i −0.0445795 0.0559009i
\(753\) 15.7872 + 6.80483i 0.575319 + 0.247982i
\(754\) −20.0200 −0.729086
\(755\) −34.4620 43.2140i −1.25420 1.57272i
\(756\) −21.2083 24.0872i −0.771337 0.876043i
\(757\) −1.18430 + 1.48506i −0.0430441 + 0.0539756i −0.802888 0.596130i \(-0.796704\pi\)
0.759844 + 0.650106i \(0.225276\pi\)
\(758\) 11.4158 14.3149i 0.414639 0.519941i
\(759\) −10.8312 12.4740i −0.393149 0.452776i
\(760\) −14.1141 6.79700i −0.511973 0.246553i
\(761\) −11.3767 1.71477i −0.412407 0.0621603i −0.0604376 0.998172i \(-0.519250\pi\)
−0.351969 + 0.936012i \(0.614488\pi\)
\(762\) 40.7238 21.7544i 1.47527 0.788080i
\(763\) 4.79283 9.90270i 0.173512 0.358502i
\(764\) −29.0157 36.3846i −1.04975 1.31635i
\(765\) 41.5155 9.86333i 1.50100 0.356610i
\(766\) −27.8069 48.1629i −1.00470 1.74020i
\(767\) −41.9230 + 6.31887i −1.51375 + 0.228161i
\(768\) 2.95408 16.0003i 0.106596 0.577361i
\(769\) −16.7066 + 11.3904i −0.602457 + 0.410748i −0.825777 0.563997i \(-0.809263\pi\)
0.223320 + 0.974745i \(0.428311\pi\)
\(770\) −30.9321 + 33.2061i −1.11472 + 1.19666i
\(771\) 3.50523 + 5.52407i 0.126238 + 0.198945i
\(772\) −13.9650 17.5115i −0.502610 0.630253i
\(773\) 24.2863 + 16.5581i 0.873517 + 0.595554i