Properties

Label 43.2.g.a.9.3
Level $43$
Weight $2$
Character 43.9
Analytic conductor $0.343$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.343356728692\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(3\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.3
Character \(\chi\) \(=\) 43.9
Dual form 43.2.g.a.24.3

$q$-expansion

\(f(q)\) \(=\) \(q+(1.06016 + 1.32939i) q^{2} +(-1.14296 - 0.172273i) q^{3} +(-0.198316 + 0.868879i) q^{4} +(-1.45700 - 0.993363i) q^{5} +(-0.982695 - 1.70208i) q^{6} +(-0.297283 + 0.514909i) q^{7} +(1.69861 - 0.818009i) q^{8} +(-1.59004 - 0.490464i) q^{9} +O(q^{10})\) \(q+(1.06016 + 1.32939i) q^{2} +(-1.14296 - 0.172273i) q^{3} +(-0.198316 + 0.868879i) q^{4} +(-1.45700 - 0.993363i) q^{5} +(-0.982695 - 1.70208i) q^{6} +(-0.297283 + 0.514909i) q^{7} +(1.69861 - 0.818009i) q^{8} +(-1.59004 - 0.490464i) q^{9} +(-0.224073 - 2.99004i) q^{10} +(0.967034 + 4.23685i) q^{11} +(0.376351 - 0.958927i) q^{12} +(0.242325 - 3.23360i) q^{13} +(-0.999683 + 0.150678i) q^{14} +(1.49415 + 1.38637i) q^{15} +(4.49418 + 2.16428i) q^{16} +(-4.57863 + 3.12166i) q^{17} +(-1.03368 - 2.63377i) q^{18} +(2.59725 - 0.801147i) q^{19} +(1.15206 - 1.06895i) q^{20} +(0.428486 - 0.537305i) q^{21} +(-4.60724 + 5.77730i) q^{22} +(-3.88284 + 3.60275i) q^{23} +(-2.08236 + 0.642324i) q^{24} +(-0.690639 - 1.75972i) q^{25} +(4.55564 - 3.10598i) q^{26} +(4.85706 + 2.33904i) q^{27} +(-0.388437 - 0.360417i) q^{28} +(9.75088 - 1.46971i) q^{29} +(-0.258998 + 3.45609i) q^{30} +(1.36275 - 3.47222i) q^{31} +(1.04831 + 4.59293i) q^{32} +(-0.375383 - 5.00913i) q^{33} +(-9.00399 - 2.77736i) q^{34} +(0.944631 - 0.454910i) q^{35} +(0.741485 - 1.28429i) q^{36} +(-0.673012 - 1.16569i) q^{37} +(3.81854 + 2.60343i) q^{38} +(-0.834030 + 3.65413i) q^{39} +(-3.28745 - 0.495504i) q^{40} +(-6.99273 - 8.76860i) q^{41} +1.16855 q^{42} +(-4.98246 - 4.26323i) q^{43} -3.87309 q^{44} +(1.82948 + 2.29409i) q^{45} +(-8.90590 - 1.34235i) q^{46} +(-0.909600 + 3.98522i) q^{47} +(-4.76381 - 3.24791i) q^{48} +(3.32325 + 5.75603i) q^{49} +(1.60718 - 2.78371i) q^{50} +(5.77096 - 2.77915i) q^{51} +(2.76155 + 0.851826i) q^{52} +(-0.180172 - 2.40423i) q^{53} +(2.03974 + 8.93670i) q^{54} +(2.79977 - 7.13369i) q^{55} +(-0.0837683 + 1.11781i) q^{56} +(-3.10657 + 0.468240i) q^{57} +(12.2913 + 11.4047i) q^{58} +(0.662333 + 0.318963i) q^{59} +(-1.50090 + 1.02330i) q^{60} +(1.86879 + 4.76159i) q^{61} +(6.06068 - 1.86947i) q^{62} +(0.725237 - 0.672921i) q^{63} +(1.22570 - 1.53698i) q^{64} +(-3.56521 + 4.47063i) q^{65} +(6.26115 - 5.80950i) q^{66} +(-3.67807 + 1.13454i) q^{67} +(-1.80433 - 4.59735i) q^{68} +(5.05858 - 3.44888i) q^{69} +(1.60621 + 0.773511i) q^{70} +(2.81309 + 2.61017i) q^{71} +(-3.10208 + 0.467563i) q^{72} +(-0.557170 + 7.43491i) q^{73} +(0.836166 - 2.13052i) q^{74} +(0.486219 + 2.13026i) q^{75} +(0.181023 + 2.41558i) q^{76} +(-2.46907 - 0.761608i) q^{77} +(-5.74198 + 2.76519i) q^{78} +(-6.69672 + 11.5991i) q^{79} +(-4.39809 - 7.61771i) q^{80} +(-1.02395 - 0.698119i) q^{81} +(4.24355 - 18.5922i) q^{82} +(-7.70597 - 1.16149i) q^{83} +(0.381877 + 0.478859i) q^{84} +9.77199 q^{85} +(0.385325 - 11.1433i) q^{86} -11.3980 q^{87} +(5.10840 + 6.40573i) q^{88} +(-4.45907 - 0.672097i) q^{89} +(-1.11022 + 4.86420i) q^{90} +(1.59297 + 1.08607i) q^{91} +(-2.36033 - 4.08820i) q^{92} +(-2.15573 + 3.73383i) q^{93} +(-6.26225 + 3.01574i) q^{94} +(-4.58002 - 1.41275i) q^{95} +(-0.406931 - 5.43011i) q^{96} +(-0.0411575 - 0.180323i) q^{97} +(-4.12888 + 10.5202i) q^{98} +(0.540395 - 7.21108i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} + O(q^{10}) \) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} - 7q^{10} - 4q^{11} + 2q^{12} + 18q^{14} - 3q^{15} - 10q^{16} - 10q^{17} + 11q^{18} + 10q^{19} - 3q^{20} - 21q^{21} - 3q^{22} + 4q^{23} + 31q^{24} - 2q^{25} - 15q^{26} - 4q^{27} + 20q^{28} + 9q^{29} + 88q^{30} + 40q^{31} + 48q^{32} - 11q^{33} - 42q^{34} + 11q^{35} - 47q^{36} - 19q^{37} - 21q^{38} - q^{39} - 97q^{40} - 28q^{41} + 2q^{42} - 8q^{43} + 14q^{44} - 46q^{45} - 61q^{46} - 30q^{47} - 97q^{48} + 6q^{49} - 3q^{50} + 57q^{51} - 8q^{52} - 24q^{53} + 6q^{54} + 14q^{55} + 39q^{56} + 52q^{57} + 64q^{58} - q^{59} + 111q^{60} - 14q^{61} + 33q^{62} + 47q^{63} + 48q^{64} + 38q^{65} + 79q^{66} + 66q^{67} + 66q^{68} - 7q^{69} + 47q^{70} - 33q^{71} + 26q^{72} + 29q^{73} - 40q^{74} - 55q^{75} - 39q^{76} - 27q^{77} - 126q^{78} - 17q^{79} + 8q^{80} + 38q^{81} - 54q^{82} - 23q^{83} - 155q^{84} - 56q^{85} - 45q^{86} - 86q^{87} - 17q^{88} - 19q^{89} - 127q^{90} - 13q^{91} - 18q^{92} - 30q^{93} + 44q^{94} + q^{95} - 36q^{96} - 31q^{97} - 5q^{98} - 31q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.06016 + 1.32939i 0.749644 + 0.940024i 0.999601 0.0282328i \(-0.00898797\pi\)
−0.249957 + 0.968257i \(0.580417\pi\)
\(3\) −1.14296 0.172273i −0.659887 0.0994619i −0.189443 0.981892i \(-0.560668\pi\)
−0.470444 + 0.882430i \(0.655906\pi\)
\(4\) −0.198316 + 0.868879i −0.0991580 + 0.434439i
\(5\) −1.45700 0.993363i −0.651588 0.444245i 0.191884 0.981418i \(-0.438540\pi\)
−0.843473 + 0.537172i \(0.819493\pi\)
\(6\) −0.982695 1.70208i −0.401184 0.694871i
\(7\) −0.297283 + 0.514909i −0.112362 + 0.194617i −0.916722 0.399525i \(-0.869175\pi\)
0.804360 + 0.594142i \(0.202508\pi\)
\(8\) 1.69861 0.818009i 0.600551 0.289210i
\(9\) −1.59004 0.490464i −0.530015 0.163488i
\(10\) −0.224073 2.99004i −0.0708580 0.945535i
\(11\) 0.967034 + 4.23685i 0.291572 + 1.27746i 0.882338 + 0.470616i \(0.155968\pi\)
−0.590767 + 0.806843i \(0.701175\pi\)
\(12\) 0.376351 0.958927i 0.108643 0.276818i
\(13\) 0.242325 3.23360i 0.0672089 0.896840i −0.857089 0.515168i \(-0.827729\pi\)
0.924298 0.381672i \(-0.124652\pi\)
\(14\) −0.999683 + 0.150678i −0.267177 + 0.0402704i
\(15\) 1.49415 + 1.38637i 0.385789 + 0.357960i
\(16\) 4.49418 + 2.16428i 1.12355 + 0.541071i
\(17\) −4.57863 + 3.12166i −1.11048 + 0.757113i −0.972403 0.233308i \(-0.925045\pi\)
−0.138078 + 0.990421i \(0.544093\pi\)
\(18\) −1.03368 2.63377i −0.243640 0.620785i
\(19\) 2.59725 0.801147i 0.595851 0.183796i 0.0178622 0.999840i \(-0.494314\pi\)
0.577989 + 0.816045i \(0.303838\pi\)
\(20\) 1.15206 1.06895i 0.257608 0.239025i
\(21\) 0.428486 0.537305i 0.0935034 0.117250i
\(22\) −4.60724 + 5.77730i −0.982267 + 1.23172i
\(23\) −3.88284 + 3.60275i −0.809629 + 0.751226i −0.971868 0.235526i \(-0.924319\pi\)
0.162239 + 0.986751i \(0.448128\pi\)
\(24\) −2.08236 + 0.642324i −0.425061 + 0.131114i
\(25\) −0.690639 1.75972i −0.138128 0.351944i
\(26\) 4.55564 3.10598i 0.893434 0.609133i
\(27\) 4.85706 + 2.33904i 0.934742 + 0.450148i
\(28\) −0.388437 0.360417i −0.0734078 0.0681125i
\(29\) 9.75088 1.46971i 1.81069 0.272918i 0.845409 0.534119i \(-0.179357\pi\)
0.965284 + 0.261201i \(0.0841186\pi\)
\(30\) −0.258998 + 3.45609i −0.0472864 + 0.630993i
\(31\) 1.36275 3.47222i 0.244756 0.623629i −0.754718 0.656049i \(-0.772226\pi\)
0.999474 + 0.0324203i \(0.0103215\pi\)
\(32\) 1.04831 + 4.59293i 0.185316 + 0.811922i
\(33\) −0.375383 5.00913i −0.0653457 0.871978i
\(34\) −9.00399 2.77736i −1.54417 0.476314i
\(35\) 0.944631 0.454910i 0.159672 0.0768938i
\(36\) 0.741485 1.28429i 0.123581 0.214048i
\(37\) −0.673012 1.16569i −0.110643 0.191639i 0.805387 0.592749i \(-0.201958\pi\)
−0.916030 + 0.401111i \(0.868624\pi\)
\(38\) 3.81854 + 2.60343i 0.619449 + 0.422333i
\(39\) −0.834030 + 3.65413i −0.133552 + 0.585128i
\(40\) −3.28745 0.495504i −0.519792 0.0783460i
\(41\) −6.99273 8.76860i −1.09208 1.36943i −0.923438 0.383748i \(-0.874633\pi\)
−0.168643 0.985677i \(-0.553938\pi\)
\(42\) 1.16855 0.180312
\(43\) −4.98246 4.26323i −0.759818 0.650136i
\(44\) −3.87309 −0.583890
\(45\) 1.82948 + 2.29409i 0.272723 + 0.341983i
\(46\) −8.90590 1.34235i −1.31310 0.197919i
\(47\) −0.909600 + 3.98522i −0.132679 + 0.581304i 0.864255 + 0.503054i \(0.167790\pi\)
−0.996934 + 0.0782499i \(0.975067\pi\)
\(48\) −4.76381 3.24791i −0.687597 0.468796i
\(49\) 3.32325 + 5.75603i 0.474749 + 0.822290i
\(50\) 1.60718 2.78371i 0.227289 0.393676i
\(51\) 5.77096 2.77915i 0.808096 0.389159i
\(52\) 2.76155 + 0.851826i 0.382958 + 0.118127i
\(53\) −0.180172 2.40423i −0.0247485 0.330246i −0.995812 0.0914247i \(-0.970858\pi\)
0.971063 0.238822i \(-0.0767611\pi\)
\(54\) 2.03974 + 8.93670i 0.277574 + 1.21613i
\(55\) 2.79977 7.13369i 0.377520 0.961906i
\(56\) −0.0837683 + 1.11781i −0.0111940 + 0.149374i
\(57\) −3.10657 + 0.468240i −0.411475 + 0.0620199i
\(58\) 12.2913 + 11.4047i 1.61393 + 1.49750i
\(59\) 0.662333 + 0.318963i 0.0862285 + 0.0415254i 0.476501 0.879174i \(-0.341905\pi\)
−0.390272 + 0.920699i \(0.627619\pi\)
\(60\) −1.50090 + 1.02330i −0.193766 + 0.132107i
\(61\) 1.86879 + 4.76159i 0.239273 + 0.609659i 0.999185 0.0403678i \(-0.0128530\pi\)
−0.759911 + 0.650027i \(0.774758\pi\)
\(62\) 6.06068 1.86947i 0.769707 0.237423i
\(63\) 0.725237 0.672921i 0.0913713 0.0847801i
\(64\) 1.22570 1.53698i 0.153212 0.192122i
\(65\) −3.56521 + 4.47063i −0.442210 + 0.554513i
\(66\) 6.26115 5.80950i 0.770695 0.715100i
\(67\) −3.67807 + 1.13454i −0.449348 + 0.138606i −0.511166 0.859482i \(-0.670786\pi\)
0.0618180 + 0.998087i \(0.480310\pi\)
\(68\) −1.80433 4.59735i −0.218807 0.557511i
\(69\) 5.05858 3.44888i 0.608982 0.415197i
\(70\) 1.60621 + 0.773511i 0.191979 + 0.0924522i
\(71\) 2.81309 + 2.61017i 0.333852 + 0.309770i 0.829229 0.558908i \(-0.188780\pi\)
−0.495377 + 0.868678i \(0.664970\pi\)
\(72\) −3.10208 + 0.467563i −0.365583 + 0.0551028i
\(73\) −0.557170 + 7.43491i −0.0652118 + 0.870191i 0.864672 + 0.502337i \(0.167526\pi\)
−0.929884 + 0.367854i \(0.880093\pi\)
\(74\) 0.836166 2.13052i 0.0972023 0.247667i
\(75\) 0.486219 + 2.13026i 0.0561437 + 0.245982i
\(76\) 0.181023 + 2.41558i 0.0207647 + 0.277086i
\(77\) −2.46907 0.761608i −0.281377 0.0867933i
\(78\) −5.74198 + 2.76519i −0.650151 + 0.313096i
\(79\) −6.69672 + 11.5991i −0.753440 + 1.30500i 0.192706 + 0.981257i \(0.438274\pi\)
−0.946146 + 0.323740i \(0.895060\pi\)
\(80\) −4.39809 7.61771i −0.491721 0.851686i
\(81\) −1.02395 0.698119i −0.113772 0.0775687i
\(82\) 4.24355 18.5922i 0.468621 2.05316i
\(83\) −7.70597 1.16149i −0.845840 0.127490i −0.288198 0.957571i \(-0.593056\pi\)
−0.557643 + 0.830081i \(0.688294\pi\)
\(84\) 0.381877 + 0.478859i 0.0416662 + 0.0522478i
\(85\) 9.77199 1.05992
\(86\) 0.385325 11.1433i 0.0415507 1.20162i
\(87\) −11.3980 −1.22200
\(88\) 5.10840 + 6.40573i 0.544557 + 0.682853i
\(89\) −4.45907 0.672097i −0.472661 0.0712421i −0.0916073 0.995795i \(-0.529200\pi\)
−0.381053 + 0.924553i \(0.624439\pi\)
\(90\) −1.11022 + 4.86420i −0.117028 + 0.512732i
\(91\) 1.59297 + 1.08607i 0.166989 + 0.113851i
\(92\) −2.36033 4.08820i −0.246081 0.426225i
\(93\) −2.15573 + 3.73383i −0.223539 + 0.387181i
\(94\) −6.26225 + 3.01574i −0.645902 + 0.311050i
\(95\) −4.58002 1.41275i −0.469900 0.144945i
\(96\) −0.406931 5.43011i −0.0415322 0.554209i
\(97\) −0.0411575 0.180323i −0.00417891 0.0183090i 0.972795 0.231666i \(-0.0744175\pi\)
−0.976974 + 0.213357i \(0.931560\pi\)
\(98\) −4.12888 + 10.5202i −0.417079 + 1.06270i
\(99\) 0.540395 7.21108i 0.0543118 0.724740i
\(100\) 1.66595 0.251101i 0.166595 0.0251101i
\(101\) −3.02611 2.80782i −0.301109 0.279388i 0.515119 0.857119i \(-0.327748\pi\)
−0.816227 + 0.577731i \(0.803938\pi\)
\(102\) 9.81271 + 4.72555i 0.971603 + 0.467899i
\(103\) 12.9998 8.86308i 1.28090 0.873305i 0.284553 0.958660i \(-0.408155\pi\)
0.996351 + 0.0853552i \(0.0272025\pi\)
\(104\) −2.23350 5.69087i −0.219013 0.558036i
\(105\) −1.15804 + 0.357208i −0.113013 + 0.0348600i
\(106\) 3.00516 2.78838i 0.291887 0.270831i
\(107\) 0.0333463 0.0418149i 0.00322371 0.00404240i −0.780217 0.625509i \(-0.784891\pi\)
0.783441 + 0.621467i \(0.213463\pi\)
\(108\) −2.99557 + 3.75633i −0.288249 + 0.361453i
\(109\) 3.84855 3.57093i 0.368624 0.342033i −0.474010 0.880519i \(-0.657194\pi\)
0.842635 + 0.538486i \(0.181003\pi\)
\(110\) 12.4517 3.84083i 1.18722 0.366209i
\(111\) 0.568407 + 1.44828i 0.0539508 + 0.137464i
\(112\) −2.45045 + 1.67069i −0.231546 + 0.157865i
\(113\) −2.32635 1.12031i −0.218844 0.105390i 0.321250 0.946995i \(-0.395897\pi\)
−0.540094 + 0.841605i \(0.681611\pi\)
\(114\) −3.91592 3.63345i −0.366760 0.340303i
\(115\) 9.23613 1.39212i 0.861273 0.129816i
\(116\) −0.656756 + 8.76380i −0.0609783 + 0.813699i
\(117\) −1.97127 + 5.02272i −0.182244 + 0.464351i
\(118\) 0.278150 + 1.21865i 0.0256058 + 0.112186i
\(119\) −0.246221 3.28559i −0.0225711 0.301190i
\(120\) 3.67206 + 1.13268i 0.335211 + 0.103399i
\(121\) −7.10509 + 3.42163i −0.645917 + 0.311057i
\(122\) −4.34882 + 7.53239i −0.393724 + 0.681950i
\(123\) 6.48180 + 11.2268i 0.584444 + 1.01229i
\(124\) 2.74668 + 1.87266i 0.246659 + 0.168170i
\(125\) −2.70376 + 11.8459i −0.241831 + 1.05953i
\(126\) 1.66344 + 0.250724i 0.148191 + 0.0223362i
\(127\) −8.14586 10.2146i −0.722828 0.906397i 0.275666 0.961253i \(-0.411101\pi\)
−0.998494 + 0.0548559i \(0.982530\pi\)
\(128\) 12.7648 1.12826
\(129\) 4.96030 + 5.73103i 0.436730 + 0.504589i
\(130\) −9.72291 −0.852756
\(131\) −6.71788 8.42396i −0.586944 0.736004i 0.396336 0.918106i \(-0.370282\pi\)
−0.983280 + 0.182101i \(0.941710\pi\)
\(132\) 4.42677 + 0.667229i 0.385301 + 0.0580748i
\(133\) −0.359601 + 1.57552i −0.0311814 + 0.136615i
\(134\) −5.40758 3.68683i −0.467144 0.318493i
\(135\) −4.75320 8.23279i −0.409091 0.708566i
\(136\) −5.22378 + 9.04785i −0.447936 + 0.775847i
\(137\) 7.24128 3.48722i 0.618664 0.297933i −0.0981775 0.995169i \(-0.531301\pi\)
0.716842 + 0.697236i \(0.245587\pi\)
\(138\) 9.94782 + 3.06850i 0.846815 + 0.261208i
\(139\) 1.63572 + 21.8272i 0.138740 + 1.85136i 0.440227 + 0.897887i \(0.354898\pi\)
−0.301487 + 0.953470i \(0.597483\pi\)
\(140\) 0.207926 + 0.910985i 0.0175730 + 0.0769923i
\(141\) 1.72618 4.39824i 0.145371 0.370398i
\(142\) −0.487624 + 6.50690i −0.0409205 + 0.546047i
\(143\) 13.9346 2.10031i 1.16527 0.175637i
\(144\) −6.08445 5.64554i −0.507037 0.470462i
\(145\) −15.6669 7.54480i −1.30107 0.626562i
\(146\) −10.4746 + 7.14148i −0.866886 + 0.591033i
\(147\) −2.80672 7.15140i −0.231494 0.589838i
\(148\) 1.14631 0.353591i 0.0942264 0.0290650i
\(149\) 12.1022 11.2292i 0.991453 0.919934i −0.00533774 0.999986i \(-0.501699\pi\)
0.996791 + 0.0800518i \(0.0255086\pi\)
\(150\) −2.31649 + 2.90479i −0.189141 + 0.237175i
\(151\) 9.89432 12.4071i 0.805188 1.00967i −0.194398 0.980923i \(-0.562275\pi\)
0.999587 0.0287513i \(-0.00915309\pi\)
\(152\) 3.75639 3.48542i 0.304683 0.282705i
\(153\) 8.81129 2.71792i 0.712351 0.219731i
\(154\) −1.60513 4.08980i −0.129345 0.329565i
\(155\) −5.43469 + 3.70531i −0.436525 + 0.297617i
\(156\) −3.00959 1.44934i −0.240960 0.116040i
\(157\) 4.81341 + 4.46619i 0.384152 + 0.356441i 0.848485 0.529220i \(-0.177515\pi\)
−0.464333 + 0.885661i \(0.653706\pi\)
\(158\) −22.5193 + 3.39424i −1.79154 + 0.270031i
\(159\) −0.208255 + 2.77897i −0.0165157 + 0.220387i
\(160\) 3.03507 7.73322i 0.239943 0.611365i
\(161\) −0.700786 3.07035i −0.0552297 0.241977i
\(162\) −0.157475 2.10135i −0.0123724 0.165098i
\(163\) −12.1383 3.74416i −0.950742 0.293265i −0.219677 0.975573i \(-0.570500\pi\)
−0.731065 + 0.682308i \(0.760976\pi\)
\(164\) 9.00562 4.33688i 0.703221 0.338653i
\(165\) −4.42896 + 7.67118i −0.344794 + 0.597200i
\(166\) −6.62546 11.4756i −0.514236 0.890682i
\(167\) 13.7745 + 9.39128i 1.06590 + 0.726719i 0.963415 0.268015i \(-0.0863678\pi\)
0.102487 + 0.994734i \(0.467320\pi\)
\(168\) 0.288312 1.26318i 0.0222438 0.0974564i
\(169\) 2.45733 + 0.370383i 0.189025 + 0.0284910i
\(170\) 10.3598 + 12.9908i 0.794563 + 0.996351i
\(171\) −4.52268 −0.345858
\(172\) 4.69233 3.48369i 0.357787 0.265629i
\(173\) 8.10129 0.615930 0.307965 0.951398i \(-0.400352\pi\)
0.307965 + 0.951398i \(0.400352\pi\)
\(174\) −12.0837 15.1525i −0.916064 1.14871i
\(175\) 1.11141 + 0.167518i 0.0840147 + 0.0126632i
\(176\) −4.82373 + 21.1341i −0.363602 + 1.59304i
\(177\) −0.702070 0.478663i −0.0527708 0.0359785i
\(178\) −3.83383 6.64039i −0.287358 0.497719i
\(179\) 8.72484 15.1119i 0.652125 1.12951i −0.330481 0.943813i \(-0.607211\pi\)
0.982606 0.185702i \(-0.0594558\pi\)
\(180\) −2.35610 + 1.13464i −0.175614 + 0.0845711i
\(181\) 13.4876 + 4.16037i 1.00252 + 0.309238i 0.752207 0.658927i \(-0.228989\pi\)
0.250316 + 0.968164i \(0.419465\pi\)
\(182\) 0.244985 + 3.26909i 0.0181595 + 0.242321i
\(183\) −1.31565 5.76423i −0.0972556 0.426104i
\(184\) −3.64837 + 9.29589i −0.268961 + 0.685302i
\(185\) −0.177379 + 2.36695i −0.0130411 + 0.174022i
\(186\) −7.24915 + 1.09263i −0.531534 + 0.0801158i
\(187\) −17.6537 16.3802i −1.29097 1.19784i
\(188\) −3.28228 1.58066i −0.239385 0.115282i
\(189\) −2.64831 + 1.80559i −0.192636 + 0.131337i
\(190\) −2.97744 7.58638i −0.216006 0.550374i
\(191\) −18.1083 + 5.58567i −1.31027 + 0.404165i −0.869713 0.493558i \(-0.835696\pi\)
−0.440559 + 0.897724i \(0.645220\pi\)
\(192\) −1.66570 + 1.54555i −0.120212 + 0.111540i
\(193\) −13.2105 + 16.5654i −0.950912 + 1.19241i 0.0303130 + 0.999540i \(0.490350\pi\)
−0.981225 + 0.192866i \(0.938222\pi\)
\(194\) 0.196087 0.245885i 0.0140782 0.0176535i
\(195\) 4.84505 4.49555i 0.346961 0.321933i
\(196\) −5.66035 + 1.74599i −0.404310 + 0.124713i
\(197\) 1.03126 + 2.62761i 0.0734742 + 0.187209i 0.962893 0.269885i \(-0.0869856\pi\)
−0.889418 + 0.457094i \(0.848890\pi\)
\(198\) 10.1593 6.92647i 0.721988 0.492243i
\(199\) 0.0117039 + 0.00563631i 0.000829669 + 0.000399547i 0.434299 0.900769i \(-0.356996\pi\)
−0.433469 + 0.901169i \(0.642711\pi\)
\(200\) −2.61259 2.42413i −0.184738 0.171412i
\(201\) 4.39933 0.663093i 0.310305 0.0467710i
\(202\) 0.524549 6.99961i 0.0369071 0.492491i
\(203\) −2.14200 + 5.45773i −0.150339 + 0.383058i
\(204\) 1.27027 + 5.56541i 0.0889366 + 0.389657i
\(205\) 1.47797 + 19.7221i 0.103226 + 1.37745i
\(206\) 25.5643 + 7.88554i 1.78115 + 0.549412i
\(207\) 7.94091 3.82414i 0.551932 0.265796i
\(208\) 8.08749 14.0080i 0.560767 0.971277i
\(209\) 5.90597 + 10.2294i 0.408525 + 0.707585i
\(210\) −1.70258 1.16080i −0.117489 0.0801026i
\(211\) 0.482505 2.11399i 0.0332170 0.145533i −0.955600 0.294667i \(-0.904791\pi\)
0.988817 + 0.149134i \(0.0476485\pi\)
\(212\) 2.12471 + 0.320249i 0.145926 + 0.0219948i
\(213\) −2.76558 3.46793i −0.189495 0.237619i
\(214\) 0.0909409 0.00621659
\(215\) 3.02449 + 11.1609i 0.206268 + 0.761166i
\(216\) 10.1636 0.691547
\(217\) 1.38276 + 1.73392i 0.0938676 + 0.117706i
\(218\) 8.82725 + 1.33049i 0.597857 + 0.0901124i
\(219\) 1.91766 8.40181i 0.129583 0.567741i
\(220\) 5.64307 + 3.84738i 0.380456 + 0.259390i
\(221\) 8.98469 + 15.5619i 0.604376 + 1.04681i
\(222\) −1.32273 + 2.29104i −0.0887760 + 0.153765i
\(223\) −3.40210 + 1.63836i −0.227821 + 0.109713i −0.544313 0.838882i \(-0.683209\pi\)
0.316491 + 0.948595i \(0.397495\pi\)
\(224\) −2.67658 0.825616i −0.178837 0.0551638i
\(225\) 0.235068 + 3.13677i 0.0156712 + 0.209118i
\(226\) −0.976960 4.28034i −0.0649864 0.284724i
\(227\) −6.05732 + 15.4338i −0.402039 + 1.02438i 0.576276 + 0.817255i \(0.304505\pi\)
−0.978315 + 0.207123i \(0.933590\pi\)
\(228\) 0.209238 2.79209i 0.0138571 0.184911i
\(229\) 0.765334 0.115355i 0.0505747 0.00762291i −0.123706 0.992319i \(-0.539478\pi\)
0.174281 + 0.984696i \(0.444240\pi\)
\(230\) 11.6424 + 10.8026i 0.767679 + 0.712302i
\(231\) 2.69084 + 1.29584i 0.177044 + 0.0852601i
\(232\) 15.3607 10.4728i 1.00848 0.687572i
\(233\) −9.49014 24.1805i −0.621720 1.58412i −0.799910 0.600120i \(-0.795119\pi\)
0.178190 0.983996i \(-0.442976\pi\)
\(234\) −8.76704 + 2.70427i −0.573119 + 0.176784i
\(235\) 5.28405 4.90288i 0.344694 0.319829i
\(236\) −0.408491 + 0.512232i −0.0265905 + 0.0333435i
\(237\) 9.65227 12.1036i 0.626983 0.786211i
\(238\) 4.10682 3.81057i 0.266205 0.247003i
\(239\) 3.36898 1.03919i 0.217921 0.0672198i −0.183872 0.982950i \(-0.558863\pi\)
0.401793 + 0.915730i \(0.368387\pi\)
\(240\) 3.71450 + 9.46439i 0.239770 + 0.610924i
\(241\) −16.1244 + 10.9934i −1.03866 + 0.708149i −0.957465 0.288549i \(-0.906827\pi\)
−0.0811985 + 0.996698i \(0.525875\pi\)
\(242\) −12.0812 5.81801i −0.776610 0.373996i
\(243\) −10.8054 10.0260i −0.693169 0.643167i
\(244\) −4.50785 + 0.679449i −0.288586 + 0.0434973i
\(245\) 0.875872 11.6877i 0.0559574 0.746700i
\(246\) −8.05313 + 20.5190i −0.513449 + 1.30825i
\(247\) −1.96121 8.59263i −0.124789 0.546736i
\(248\) −0.525529 7.01270i −0.0333711 0.445307i
\(249\) 8.60750 + 2.65506i 0.545478 + 0.168258i
\(250\) −18.6143 + 8.96419i −1.17727 + 0.566945i
\(251\) −4.45344 + 7.71359i −0.281099 + 0.486878i −0.971656 0.236401i \(-0.924032\pi\)
0.690557 + 0.723278i \(0.257366\pi\)
\(252\) 0.440861 + 0.763594i 0.0277716 + 0.0481019i
\(253\) −19.0192 12.9670i −1.19572 0.815231i
\(254\) 4.94332 21.6581i 0.310172 1.35895i
\(255\) −11.1690 1.68345i −0.699428 0.105422i
\(256\) 11.0813 + 13.8955i 0.692579 + 0.868466i
\(257\) 0.0980769 0.00611787 0.00305893 0.999995i \(-0.499026\pi\)
0.00305893 + 0.999995i \(0.499026\pi\)
\(258\) −2.36011 + 12.6700i −0.146934 + 0.788799i
\(259\) 0.800300 0.0497282
\(260\) −3.17740 3.98433i −0.197054 0.247098i
\(261\) −16.2252 2.44555i −1.00431 0.151376i
\(262\) 4.07676 17.8614i 0.251863 1.10348i
\(263\) −0.383264 0.261305i −0.0236331 0.0161128i 0.551446 0.834211i \(-0.314076\pi\)
−0.575079 + 0.818098i \(0.695029\pi\)
\(264\) −4.73515 8.20152i −0.291428 0.504768i
\(265\) −2.12576 + 3.68193i −0.130584 + 0.226179i
\(266\) −2.47572 + 1.19224i −0.151796 + 0.0731011i
\(267\) 4.98074 + 1.53636i 0.304817 + 0.0940235i
\(268\) −0.256353 3.42080i −0.0156593 0.208958i
\(269\) −4.76797 20.8899i −0.290709 1.27368i −0.883542 0.468352i \(-0.844848\pi\)
0.592833 0.805325i \(-0.298009\pi\)
\(270\) 5.90549 15.0469i 0.359397 0.915727i
\(271\) −0.706856 + 9.43234i −0.0429385 + 0.572974i 0.933696 + 0.358067i \(0.116564\pi\)
−0.976634 + 0.214907i \(0.931055\pi\)
\(272\) −27.3334 + 4.11984i −1.65733 + 0.249802i
\(273\) −1.63360 1.51576i −0.0988699 0.0917378i
\(274\) 12.3128 + 5.92952i 0.743842 + 0.358216i
\(275\) 6.78780 4.62784i 0.409319 0.279069i
\(276\) 1.99346 + 5.07926i 0.119992 + 0.305736i
\(277\) 12.1472 3.74690i 0.729852 0.225130i 0.0925114 0.995712i \(-0.470511\pi\)
0.637341 + 0.770582i \(0.280034\pi\)
\(278\) −27.2828 + 25.3148i −1.63631 + 1.51828i
\(279\) −3.86982 + 4.85261i −0.231680 + 0.290518i
\(280\) 1.23244 1.54543i 0.0736525 0.0923573i
\(281\) −14.2546 + 13.2263i −0.850356 + 0.789015i −0.979253 0.202643i \(-0.935047\pi\)
0.128896 + 0.991658i \(0.458857\pi\)
\(282\) 7.67702 2.36805i 0.457160 0.141015i
\(283\) 0.901034 + 2.29580i 0.0535609 + 0.136471i 0.955150 0.296123i \(-0.0956937\pi\)
−0.901589 + 0.432594i \(0.857598\pi\)
\(284\) −2.82580 + 1.92660i −0.167680 + 0.114323i
\(285\) 4.99139 + 2.40372i 0.295664 + 0.142384i
\(286\) 17.5650 + 16.2980i 1.03864 + 0.963719i
\(287\) 6.59385 0.993862i 0.389222 0.0586658i
\(288\) 0.585812 7.81711i 0.0345193 0.460628i
\(289\) 5.00832 12.7610i 0.294607 0.750647i
\(290\) −6.57940 28.8262i −0.386356 1.69273i
\(291\) 0.0159765 + 0.213191i 0.000936558 + 0.0124975i
\(292\) −6.34954 1.95858i −0.371579 0.114617i
\(293\) 19.6328 9.45465i 1.14696 0.552347i 0.238841 0.971059i \(-0.423233\pi\)
0.908119 + 0.418712i \(0.137518\pi\)
\(294\) 6.53148 11.3129i 0.380923 0.659779i
\(295\) −0.648171 1.12266i −0.0377380 0.0653641i
\(296\) −2.09673 1.42953i −0.121870 0.0830897i
\(297\) −5.21321 + 22.8406i −0.302501 + 1.32534i
\(298\) 27.7583 + 4.18390i 1.60800 + 0.242367i
\(299\) 10.7090 + 13.4286i 0.619315 + 0.776597i
\(300\) −1.94736 −0.112431
\(301\) 3.67637 1.29813i 0.211903 0.0748228i
\(302\) 26.9834 1.55272
\(303\) 2.97500 + 3.73053i 0.170909 + 0.214313i
\(304\) 13.4064 + 2.02070i 0.768912 + 0.115895i
\(305\) 2.00717 8.79399i 0.114930 0.503543i
\(306\) 12.9545 + 8.83226i 0.740562 + 0.504907i
\(307\) 9.96776 + 17.2647i 0.568890 + 0.985346i 0.996676 + 0.0814663i \(0.0259603\pi\)
−0.427786 + 0.903880i \(0.640706\pi\)
\(308\) 1.15140 1.99429i 0.0656072 0.113635i
\(309\) −16.3850 + 7.89062i −0.932112 + 0.448881i
\(310\) −10.6874 3.29664i −0.607006 0.187236i
\(311\) −0.440535 5.87853i −0.0249805 0.333341i −0.995667 0.0929916i \(-0.970357\pi\)
0.970686 0.240349i \(-0.0772620\pi\)
\(312\) 1.57241 + 6.88919i 0.0890204 + 0.390024i
\(313\) 7.65823 19.5129i 0.432869 1.10293i −0.533506 0.845796i \(-0.679126\pi\)
0.966375 0.257136i \(-0.0827788\pi\)
\(314\) −0.834362 + 11.1338i −0.0470858 + 0.628316i
\(315\) −1.72512 + 0.260020i −0.0971996 + 0.0146505i
\(316\) −8.75011 8.11892i −0.492232 0.456725i
\(317\) −19.5710 9.42489i −1.09922 0.529355i −0.205805 0.978593i \(-0.565981\pi\)
−0.893412 + 0.449238i \(0.851695\pi\)
\(318\) −3.91513 + 2.66929i −0.219550 + 0.149686i
\(319\) 15.6564 + 39.8918i 0.876588 + 2.23351i
\(320\) −3.31261 + 1.02181i −0.185181 + 0.0571207i
\(321\) −0.0453170 + 0.0420480i −0.00252935 + 0.00234689i
\(322\) 3.33876 4.18667i 0.186062 0.233314i
\(323\) −9.39096 + 11.7759i −0.522527 + 0.655228i
\(324\) 0.809647 0.751242i 0.0449804 0.0417357i
\(325\) −5.85759 + 1.80683i −0.324921 + 0.100225i
\(326\) −7.89100 20.1059i −0.437042 1.11356i
\(327\) −5.01391 + 3.41842i −0.277270 + 0.189039i
\(328\) −19.0507 9.17435i −1.05190 0.506569i
\(329\) −1.78162 1.65310i −0.0982237 0.0911382i
\(330\) −14.8934 + 2.24482i −0.819855 + 0.123573i
\(331\) −0.708671 + 9.45655i −0.0389521 + 0.519779i 0.943266 + 0.332037i \(0.107736\pi\)
−0.982218 + 0.187742i \(0.939883\pi\)
\(332\) 2.53741 6.46521i 0.139258 0.354825i
\(333\) 0.498390 + 2.18359i 0.0273116 + 0.119660i
\(334\) 2.11839 + 28.2680i 0.115913 + 1.54675i
\(335\) 6.48594 + 2.00065i 0.354365 + 0.109307i
\(336\) 3.08858 1.48738i 0.168496 0.0811433i
\(337\) 12.4992 21.6492i 0.680872 1.17931i −0.293843 0.955854i \(-0.594934\pi\)
0.974715 0.223452i \(-0.0717325\pi\)
\(338\) 2.11277 + 3.65942i 0.114919 + 0.199046i
\(339\) 2.46592 + 1.68123i 0.133930 + 0.0913121i
\(340\) −1.93794 + 8.49067i −0.105100 + 0.460471i
\(341\) 16.0291 + 2.41600i 0.868024 + 0.130834i
\(342\) −4.79475 6.01243i −0.259271 0.325115i
\(343\) −8.11373 −0.438100
\(344\) −11.9506 3.16588i −0.644335 0.170693i
\(345\) −10.7963 −0.581255
\(346\) 8.58864 + 10.7698i 0.461728 + 0.578989i
\(347\) 10.1285 + 1.52662i 0.543726 + 0.0819535i 0.415162 0.909748i \(-0.363725\pi\)
0.128564 + 0.991701i \(0.458963\pi\)
\(348\) 2.26041 9.90351i 0.121171 0.530884i
\(349\) −12.2273 8.33643i −0.654512 0.446239i 0.189994 0.981785i \(-0.439153\pi\)
−0.844506 + 0.535547i \(0.820106\pi\)
\(350\) 0.955571 + 1.65510i 0.0510774 + 0.0884687i
\(351\) 8.74051 15.1390i 0.466534 0.808060i
\(352\) −18.4458 + 8.88303i −0.983164 + 0.473467i
\(353\) −11.4923 3.54492i −0.611675 0.188677i −0.0265870 0.999647i \(-0.508464\pi\)
−0.585088 + 0.810970i \(0.698940\pi\)
\(354\) −0.107972 1.44079i −0.00573865 0.0765770i
\(355\) −1.50582 6.59742i −0.0799205 0.350155i
\(356\) 1.46828 3.74110i 0.0778184 0.198278i
\(357\) −0.284599 + 3.79771i −0.0150626 + 0.200996i
\(358\) 29.3393 4.42220i 1.55063 0.233720i
\(359\) −5.64703 5.23968i −0.298039 0.276540i 0.516951 0.856015i \(-0.327067\pi\)
−0.814990 + 0.579475i \(0.803257\pi\)
\(360\) 4.98417 + 2.40025i 0.262689 + 0.126504i
\(361\) −9.59465 + 6.54152i −0.504981 + 0.344290i
\(362\) 8.76818 + 22.3410i 0.460845 + 1.17421i
\(363\) 8.71027 2.68676i 0.457171 0.141019i
\(364\) −1.25957 + 1.16871i −0.0660197 + 0.0612573i
\(365\) 8.19736 10.2792i 0.429069 0.538036i
\(366\) 6.26815 7.86001i 0.327641 0.410849i
\(367\) −2.35699 + 2.18697i −0.123034 + 0.114159i −0.739290 0.673387i \(-0.764839\pi\)
0.616256 + 0.787546i \(0.288648\pi\)
\(368\) −25.2476 + 7.78785i −1.31612 + 0.405970i
\(369\) 6.81807 + 17.3721i 0.354934 + 0.904358i
\(370\) −3.33466 + 2.27354i −0.173361 + 0.118195i
\(371\) 1.29152 + 0.621963i 0.0670524 + 0.0322907i
\(372\) −2.81673 2.61355i −0.146041 0.135506i
\(373\) 17.4202 2.62567i 0.901984 0.135952i 0.318354 0.947972i \(-0.396870\pi\)
0.583630 + 0.812020i \(0.301632\pi\)
\(374\) 3.06011 40.8343i 0.158235 2.11149i
\(375\) 5.13101 13.0736i 0.264964 0.675118i
\(376\) 1.71489 + 7.51341i 0.0884385 + 0.387474i
\(377\) −2.38957 31.8866i −0.123069 1.64225i
\(378\) −5.20797 1.60644i −0.267869 0.0826266i
\(379\) −15.9289 + 7.67093i −0.818210 + 0.394029i −0.795680 0.605717i \(-0.792886\pi\)
−0.0225300 + 0.999746i \(0.507172\pi\)
\(380\) 2.13580 3.69931i 0.109564 0.189771i
\(381\) 7.55067 + 13.0781i 0.386833 + 0.670014i
\(382\) −26.6232 18.1514i −1.36216 0.928707i
\(383\) −5.53953 + 24.2703i −0.283057 + 1.24015i 0.610795 + 0.791789i \(0.290850\pi\)
−0.893851 + 0.448364i \(0.852007\pi\)
\(384\) −14.5896 2.19903i −0.744522 0.112219i
\(385\) 2.84088 + 3.56235i 0.144784 + 0.181554i
\(386\) −36.0272 −1.83374
\(387\) 5.83137 + 9.22244i 0.296425 + 0.468803i
\(388\) 0.164841 0.00836852
\(389\) −4.19252 5.25726i −0.212569 0.266554i 0.664103 0.747641i \(-0.268813\pi\)
−0.876673 + 0.481087i \(0.840242\pi\)
\(390\) 11.1129 + 1.67500i 0.562722 + 0.0848167i
\(391\) 6.53155 28.6166i 0.330315 1.44720i
\(392\) 10.3534 + 7.05883i 0.522926 + 0.356525i
\(393\) 6.22703 + 10.7855i 0.314112 + 0.544058i
\(394\) −2.39983 + 4.15663i −0.120902 + 0.209408i
\(395\) 21.2792 10.2475i 1.07067 0.515608i
\(396\) 6.15838 + 1.89961i 0.309470 + 0.0954590i
\(397\) −1.52068 20.2921i −0.0763210 1.01843i −0.895548 0.444964i \(-0.853216\pi\)
0.819227 0.573469i \(-0.194403\pi\)
\(398\) 0.00491511 + 0.0215345i 0.000246372 + 0.00107943i
\(399\) 0.682428 1.73880i 0.0341641 0.0870488i
\(400\) 0.704675 9.40324i 0.0352338 0.470162i
\(401\) −0.190899 + 0.0287734i −0.00953303 + 0.00143687i −0.153807 0.988101i \(-0.549153\pi\)
0.144274 + 0.989538i \(0.453915\pi\)
\(402\) 5.54550 + 5.14547i 0.276584 + 0.256633i
\(403\) −10.8976 5.24799i −0.542846 0.261421i
\(404\) 3.03978 2.07248i 0.151234 0.103110i
\(405\) 0.798408 + 2.03431i 0.0396732 + 0.101086i
\(406\) −9.52634 + 2.93849i −0.472784 + 0.145835i
\(407\) 4.28804 3.97872i 0.212550 0.197218i
\(408\) 7.52926 9.44140i 0.372754 0.467419i
\(409\) −0.306947 + 0.384900i −0.0151776 + 0.0190321i −0.789362 0.613928i \(-0.789589\pi\)
0.774185 + 0.632960i \(0.218160\pi\)
\(410\) −24.6516 + 22.8734i −1.21746 + 1.12963i
\(411\) −8.87723 + 2.73826i −0.437881 + 0.135069i
\(412\) 5.12288 + 13.0529i 0.252386 + 0.643070i
\(413\) −0.361137 + 0.246219i −0.0177704 + 0.0121157i
\(414\) 13.5024 + 6.50242i 0.663607 + 0.319576i
\(415\) 10.0738 + 9.34711i 0.494503 + 0.458831i
\(416\) 15.1057 2.27682i 0.740620 0.111630i
\(417\) 1.89068 25.2293i 0.0925868 1.23549i
\(418\) −7.33771 + 18.6962i −0.358899 + 0.914460i
\(419\) 3.57770 + 15.6749i 0.174782 + 0.765770i 0.983986 + 0.178243i \(0.0570413\pi\)
−0.809204 + 0.587527i \(0.800102\pi\)
\(420\) −0.0807128 1.07704i −0.00393838 0.0525541i
\(421\) −34.8128 10.7383i −1.69667 0.523355i −0.712670 0.701500i \(-0.752514\pi\)
−0.984004 + 0.178145i \(0.942990\pi\)
\(422\) 3.32186 1.59972i 0.161706 0.0778734i
\(423\) 3.40091 5.89055i 0.165358 0.286408i
\(424\) −2.27272 3.93647i −0.110373 0.191172i
\(425\) 8.65542 + 5.90117i 0.419850 + 0.286249i
\(426\) 1.67830 7.35310i 0.0813138 0.356259i
\(427\) −3.00734 0.453284i −0.145535 0.0219359i
\(428\) 0.0297190 + 0.0372665i 0.00143652 + 0.00180134i
\(429\) −16.2885 −0.786417
\(430\) −11.6308 + 15.8530i −0.560887 + 0.764501i
\(431\) 8.13149 0.391680 0.195840 0.980636i \(-0.437257\pi\)
0.195840 + 0.980636i \(0.437257\pi\)
\(432\) 16.7662 + 21.0241i 0.806663 + 1.01152i
\(433\) 27.2335 + 4.10478i 1.30876 + 0.197263i 0.766116 0.642702i \(-0.222187\pi\)
0.542640 + 0.839965i \(0.317425\pi\)
\(434\) −0.839127 + 3.67646i −0.0402794 + 0.176476i
\(435\) 16.6069 + 11.3224i 0.796239 + 0.542867i
\(436\) 2.33948 + 4.05210i 0.112041 + 0.194060i
\(437\) −7.19840 + 12.4680i −0.344346 + 0.596425i
\(438\) 13.2023 6.35791i 0.630832 0.303793i
\(439\) −35.6148 10.9857i −1.69980 0.524320i −0.715170 0.698951i \(-0.753651\pi\)
−0.984634 + 0.174631i \(0.944127\pi\)
\(440\) −1.07970 14.4076i −0.0514727 0.686856i
\(441\) −2.46098 10.7823i −0.117190 0.513442i
\(442\) −11.1628 + 28.4423i −0.530959 + 1.35286i
\(443\) −0.409109 + 5.45918i −0.0194373 + 0.259373i 0.979016 + 0.203782i \(0.0653234\pi\)
−0.998454 + 0.0555912i \(0.982296\pi\)
\(444\) −1.37110 + 0.206660i −0.0650696 + 0.00980767i
\(445\) 5.82921 + 5.40872i 0.276331 + 0.256398i
\(446\) −5.78479 2.78581i −0.273918 0.131912i
\(447\) −15.7668 + 10.7496i −0.745745 + 0.508440i
\(448\) 0.427024 + 1.08804i 0.0201750 + 0.0514050i
\(449\) 21.7205 6.69990i 1.02506 0.316188i 0.263757 0.964589i \(-0.415038\pi\)
0.761298 + 0.648402i \(0.224562\pi\)
\(450\) −3.92079 + 3.63796i −0.184828 + 0.171495i
\(451\) 30.3891 38.1067i 1.43096 1.79437i
\(452\) 1.43477 1.79914i 0.0674857 0.0846244i
\(453\) −13.4462 + 12.4762i −0.631757 + 0.586185i
\(454\) −26.9393 + 8.30968i −1.26433 + 0.389993i
\(455\) −1.24209 3.16480i −0.0582301 0.148368i
\(456\) −4.89383 + 3.33656i −0.229175 + 0.156249i
\(457\) 29.8326 + 14.3666i 1.39551 + 0.672042i 0.972245 0.233964i \(-0.0751699\pi\)
0.423264 + 0.906006i \(0.360884\pi\)
\(458\) 0.964727 + 0.895136i 0.0450787 + 0.0418269i
\(459\) −29.5404 + 4.45250i −1.37883 + 0.207825i
\(460\) −0.622085 + 8.30115i −0.0290049 + 0.387043i
\(461\) −5.47361 + 13.9465i −0.254931 + 0.649555i −0.999845 0.0176063i \(-0.994395\pi\)
0.744914 + 0.667161i \(0.232491\pi\)
\(462\) 1.13003 + 4.95099i 0.0525738 + 0.230341i
\(463\) 1.36296 + 18.1874i 0.0633419 + 0.845239i 0.934892 + 0.354932i \(0.115496\pi\)
−0.871550 + 0.490307i \(0.836885\pi\)
\(464\) 47.0031 + 14.4985i 2.18207 + 0.673078i
\(465\) 6.84994 3.29876i 0.317658 0.152976i
\(466\) 22.0844 38.2513i 1.02304 1.77196i
\(467\) −1.73991 3.01362i −0.0805135 0.139454i 0.822957 0.568104i \(-0.192323\pi\)
−0.903471 + 0.428650i \(0.858989\pi\)
\(468\) −3.97320 2.70888i −0.183661 0.125218i
\(469\) 0.509246 2.23115i 0.0235148 0.103025i
\(470\) 12.1198 + 1.82676i 0.559044 + 0.0842624i
\(471\) −4.73212 5.93389i −0.218044 0.273419i
\(472\) 1.38596 0.0637941
\(473\) 13.2445 25.2326i 0.608981 1.16020i
\(474\) 26.3233 1.20907
\(475\) −3.20356 4.01713i −0.146989 0.184319i
\(476\) 2.90361 + 0.437649i 0.133087 + 0.0200596i
\(477\) −0.892706 + 3.91120i −0.0408742 + 0.179082i
\(478\) 4.95314 + 3.37700i 0.226552 + 0.154460i
\(479\) −11.9934 20.7733i −0.547994 0.949154i −0.998412 0.0563362i \(-0.982058\pi\)
0.450417 0.892818i \(-0.351275\pi\)
\(480\) −4.80118 + 8.31588i −0.219143 + 0.379566i
\(481\) −3.93247 + 1.89378i −0.179305 + 0.0863489i
\(482\) −31.7090 9.78093i −1.44431 0.445509i
\(483\) 0.272031 + 3.63000i 0.0123778 + 0.165171i
\(484\) −1.56393 6.85203i −0.0710878 0.311456i
\(485\) −0.119160 + 0.303614i −0.00541076 + 0.0137864i
\(486\) 1.87303 24.9938i 0.0849622 1.13374i
\(487\) 4.37068 0.658774i 0.198054 0.0298519i −0.0492658 0.998786i \(-0.515688\pi\)
0.247320 + 0.968934i \(0.420450\pi\)
\(488\) 7.06937 + 6.55941i 0.320015 + 0.296931i
\(489\) 13.2285 + 6.37051i 0.598213 + 0.288084i
\(490\) 16.4661 11.2264i 0.743864 0.507158i
\(491\) 5.72014 + 14.5747i 0.258146 + 0.657746i 0.999917 0.0129076i \(-0.00410874\pi\)
−0.741770 + 0.670654i \(0.766014\pi\)
\(492\) −11.0402 + 3.40544i −0.497729 + 0.153529i
\(493\) −40.0578 + 37.1682i −1.80411 + 1.67397i
\(494\) 9.34380 11.7168i 0.420398 0.527162i
\(495\) −7.95057 + 9.96970i −0.357351 + 0.448105i
\(496\) 13.6393 12.6554i 0.612423 0.568245i
\(497\) −2.18028 + 0.672528i −0.0977990 + 0.0301670i
\(498\) 5.59568 + 14.2576i 0.250748 + 0.638896i
\(499\) 31.1162 21.2146i 1.39295 0.949698i 0.393411 0.919363i \(-0.371295\pi\)
0.999540 0.0303356i \(-0.00965760\pi\)
\(500\) −9.75648 4.69847i −0.436323 0.210122i
\(501\) −14.1258 13.1068i −0.631093 0.585569i
\(502\) −14.9758 + 2.25723i −0.668401 + 0.100745i
\(503\) −2.31985 + 30.9562i −0.103437 + 1.38027i 0.668093 + 0.744077i \(0.267111\pi\)
−0.771530 + 0.636193i \(0.780508\pi\)
\(504\) 0.681441 1.73628i 0.0303538 0.0773402i
\(505\) 1.61984 + 7.09699i 0.0720820 + 0.315812i
\(506\) −2.92498 39.0311i −0.130031 1.73514i
\(507\) −2.74481 0.846663i −0.121901 0.0376016i
\(508\) 10.4907 5.05205i 0.465449 0.224148i
\(509\) −2.32607 + 4.02888i −0.103101 + 0.178577i −0.912961 0.408047i \(-0.866210\pi\)
0.809860 + 0.586624i \(0.199543\pi\)
\(510\) −9.60289 16.6327i −0.425223 0.736508i
\(511\) −3.66267 2.49716i −0.162027 0.110468i
\(512\) −1.04382 + 4.57329i −0.0461309 + 0.202113i
\(513\) 14.4889 + 2.18386i 0.639702 + 0.0964196i
\(514\) 0.103977 + 0.130383i 0.00458622 + 0.00575094i
\(515\) −27.7448 −1.22258
\(516\) −5.96328 + 3.17334i −0.262519 + 0.139699i
\(517\) −17.7644 −0.781277
\(518\) 0.848443 + 1.06391i 0.0372785 + 0.0467457i
\(519\) −9.25943 1.39563i −0.406444 0.0612616i
\(520\) −2.39889 + 10.5102i −0.105198 + 0.460905i
\(521\) −5.84633 3.98596i −0.256132 0.174628i 0.428446 0.903567i \(-0.359061\pi\)
−0.684578 + 0.728939i \(0.740014\pi\)
\(522\) −13.9501 24.1623i −0.610581 1.05756i
\(523\) −2.20635 + 3.82151i −0.0964770 + 0.167103i −0.910224 0.414116i \(-0.864091\pi\)
0.813747 + 0.581219i \(0.197424\pi\)
\(524\) 8.65166 4.16642i 0.377949 0.182011i
\(525\) −1.24144 0.382932i −0.0541807 0.0167125i
\(526\) −0.0589425 0.786533i −0.00257002 0.0342945i
\(527\) 4.59957 + 20.1520i 0.200361 + 0.877837i
\(528\) 9.15415 23.3244i 0.398383 1.01506i
\(529\) 0.377858 5.04216i 0.0164286 0.219224i
\(530\) −7.14838 + 1.07744i −0.310506 + 0.0468012i
\(531\) −0.896700 0.832016i −0.0389135 0.0361064i
\(532\) −1.29762 0.624900i −0.0562589 0.0270928i
\(533\) −30.0487 + 20.4869i −1.30155 + 0.887384i
\(534\) 3.23795 + 8.25016i 0.140120 + 0.357019i
\(535\) −0.0901228 + 0.0277992i −0.00389635 + 0.00120186i
\(536\) −5.31957 + 4.93584i −0.229770 + 0.213196i
\(537\) −12.5755 + 15.7692i −0.542673 + 0.680490i
\(538\) 22.7161 28.4851i 0.979360 1.22808i
\(539\) −21.1738 + 19.6464i −0.912018 + 0.846229i
\(540\) 8.09593 2.49726i 0.348394 0.107465i
\(541\) −6.23494 15.8864i −0.268061 0.683009i −0.999999 0.00163693i \(-0.999479\pi\)
0.731937 0.681372i \(-0.238616\pi\)
\(542\) −13.2887 + 9.06007i −0.570798 + 0.389163i
\(543\) −14.6990 7.07867i −0.630795 0.303775i
\(544\) −19.1374 17.7569i −0.820507 0.761320i
\(545\) −9.15456 + 1.37983i −0.392138 + 0.0591053i
\(546\) 0.283170 3.77864i 0.0121185 0.161711i
\(547\) 3.72664 9.49533i 0.159340 0.405991i −0.828801 0.559544i \(-0.810976\pi\)
0.988140 + 0.153553i \(0.0490715\pi\)
\(548\) 1.59391 + 6.98336i 0.0680883 + 0.298315i
\(549\) −0.636066 8.48771i −0.0271466 0.362247i
\(550\) 13.3484 + 4.11742i 0.569176 + 0.175568i
\(551\) 24.1481 11.6291i 1.02874 0.495416i
\(552\) 5.77136 9.99629i 0.245645 0.425470i
\(553\) −3.98164 6.89640i −0.169316 0.293265i
\(554\) 17.8590 + 12.1761i 0.758757 + 0.517312i
\(555\) 0.610499 2.67477i 0.0259142 0.113538i
\(556\) −19.2896 2.90743i −0.818060 0.123303i
\(557\) 19.5750 + 24.5463i 0.829419 + 1.04006i 0.998516 + 0.0544591i \(0.0173435\pi\)
−0.169097 + 0.985599i \(0.554085\pi\)
\(558\) −10.5537 −0.446772
\(559\) −14.9930 + 15.0782i −0.634135 + 0.637740i
\(560\) 5.22990 0.221004
\(561\) 17.3555 + 21.7632i 0.732752 + 0.918842i
\(562\) −32.6951 4.92799i −1.37916 0.207875i
\(563\) 8.39490 36.7805i 0.353803 1.55011i −0.414515 0.910043i \(-0.636049\pi\)
0.768317 0.640069i \(-0.221094\pi\)
\(564\) 3.47921 + 2.37208i 0.146501 + 0.0998827i
\(565\) 2.27660 + 3.94319i 0.0957775 + 0.165891i
\(566\) −2.09678 + 3.63174i −0.0881344 + 0.152653i
\(567\) 0.663871 0.319703i 0.0278799 0.0134263i
\(568\) 6.91349 + 2.13253i 0.290084 + 0.0894790i
\(569\) 0.270303 + 3.60694i 0.0113317 + 0.151211i 0.999999 + 0.00109048i \(0.000347110\pi\)
−0.988668 + 0.150120i \(0.952034\pi\)
\(570\) 2.09615 + 9.18385i 0.0877982 + 0.384669i
\(571\) 5.62048 14.3207i 0.235210 0.599304i −0.763721 0.645547i \(-0.776629\pi\)
0.998930 + 0.0462426i \(0.0147247\pi\)
\(572\) −0.938546 + 12.5240i −0.0392426 + 0.523656i
\(573\) 21.6593 3.26461i 0.904830 0.136381i
\(574\) 8.31175 + 7.71218i 0.346926 + 0.321900i
\(575\) 9.02147 + 4.34451i 0.376221 + 0.181179i
\(576\) −2.70275 + 1.84270i −0.112614 + 0.0767792i
\(577\) 11.6350 + 29.6454i 0.484370 + 1.23416i 0.939136 + 0.343545i \(0.111628\pi\)
−0.454766 + 0.890611i \(0.650277\pi\)
\(578\) 22.2740 6.87062i 0.926477 0.285780i
\(579\) 17.9528 16.6578i 0.746093 0.692274i
\(580\) 9.66252 12.1164i 0.401214 0.503107i
\(581\) 2.88891 3.62258i 0.119852 0.150290i
\(582\) −0.266478 + 0.247255i −0.0110459 + 0.0102491i
\(583\) 10.0121 3.08833i 0.414660 0.127906i
\(584\) 5.13541 + 13.0848i 0.212505 + 0.541454i
\(585\) 7.86152 5.35989i 0.325034 0.221604i
\(586\) 33.3828 + 16.0763i 1.37903 + 0.664106i
\(587\) −13.6300 12.6468i −0.562570 0.521989i 0.346821 0.937931i \(-0.387261\pi\)
−0.909391 + 0.415943i \(0.863452\pi\)
\(588\) 6.77032 1.02046i 0.279203 0.0420831i
\(589\) 0.757639 10.1100i 0.0312180 0.416575i
\(590\) 0.805302 2.05188i 0.0331538 0.0844744i
\(591\) −0.726020 3.18090i −0.0298645 0.130845i
\(592\) −0.501753 6.69542i −0.0206219 0.275180i
\(593\) 3.28071 + 1.01197i 0.134723 + 0.0415564i 0.361383 0.932417i \(-0.382305\pi\)
−0.226661 + 0.973974i \(0.572781\pi\)
\(594\) −35.8910 + 17.2842i −1.47262 + 0.709178i
\(595\) −2.90504 + 5.03168i −0.119095 + 0.206279i
\(596\) 7.35677 + 12.7423i 0.301345 + 0.521945i
\(597\) −0.0124061 0.00845833i −0.000507748 0.000346177i
\(598\) −6.49875 + 28.4729i −0.265754 + 1.16434i
\(599\) −18.5193 2.79133i −0.756677 0.114051i −0.240637 0.970615i \(-0.577356\pi\)
−0.516040 + 0.856564i \(0.672594\pi\)
\(600\) 2.56847 + 3.22076i 0.104857 + 0.131487i
\(601\) −4.01565 −0.163802 −0.0819010 0.996640i \(-0.526099\pi\)
−0.0819010 + 0.996640i \(0.526099\pi\)
\(602\) 5.62326 + 3.51113i 0.229187 + 0.143103i
\(603\) 6.40475 0.260822
\(604\) 8.81805 + 11.0575i 0.358801 + 0.449923i
\(605\) 13.7510 + 2.07263i 0.559058 + 0.0842644i
\(606\) −1.80538 + 7.90990i −0.0733386 + 0.321318i
\(607\) 21.0791 + 14.3715i 0.855573 + 0.583319i 0.909724 0.415213i \(-0.136293\pi\)
−0.0541516 + 0.998533i \(0.517245\pi\)
\(608\) 6.40232 + 11.0892i 0.259649 + 0.449724i
\(609\) 3.38844 5.86895i 0.137306 0.237822i
\(610\) 13.8186 6.65469i 0.559499 0.269441i
\(611\) 12.6662 + 3.90701i 0.512420 + 0.158061i
\(612\) 0.614127 + 8.19495i 0.0248246 + 0.331261i
\(613\) 3.94359 + 17.2780i 0.159280 + 0.697851i 0.989989 + 0.141144i \(0.0450781\pi\)
−0.830709 + 0.556707i \(0.812065\pi\)
\(614\) −12.3842 + 31.5543i −0.499784 + 1.27343i
\(615\) 1.70834 22.7962i 0.0688868 0.919230i
\(616\) −4.81700 + 0.726047i −0.194083 + 0.0292533i
\(617\) −9.87536 9.16299i −0.397567 0.368888i 0.455904 0.890029i \(-0.349316\pi\)
−0.853471 + 0.521141i \(0.825507\pi\)
\(618\) −27.8605 13.4169i −1.12071 0.539706i
\(619\) 25.1021 17.1143i 1.00894 0.687882i 0.0583365 0.998297i \(-0.481420\pi\)
0.950601 + 0.310415i \(0.100468\pi\)
\(620\) −2.14168 5.45691i −0.0860119 0.219155i
\(621\) −27.2862 + 8.41667i −1.09496 + 0.337749i
\(622\) 7.34786 6.81781i 0.294622 0.273369i
\(623\) 1.67167 2.09621i 0.0669742 0.0839830i
\(624\) −11.6569 + 14.6172i −0.466648 + 0.585158i
\(625\) 8.77788 8.14468i 0.351115 0.325787i
\(626\) 34.0592 10.5059i 1.36128 0.419899i
\(627\) −4.98802 12.7093i −0.199202 0.507559i
\(628\) −4.83515 + 3.29655i −0.192944 + 0.131547i
\(629\) 6.72037 + 3.23636i 0.267959 + 0.129042i
\(630\) −2.17457 2.01771i −0.0866369 0.0803873i
\(631\) 5.70762 0.860285i 0.227217 0.0342474i −0.0344469 0.999407i \(-0.510967\pi\)
0.261664 + 0.965159i \(0.415729\pi\)
\(632\) −1.88700 + 25.1803i −0.0750609 + 1.00162i
\(633\) −0.915667 + 2.33308i −0.0363945 + 0.0927317i
\(634\) −8.21892 36.0094i −0.326415 1.43012i
\(635\) 1.72169 + 22.9744i 0.0683233 + 0.911711i
\(636\) −2.37329 0.732062i −0.0941070 0.0290282i
\(637\) 19.4180 9.35123i 0.769370 0.370509i
\(638\) −36.4337 + 63.1050i −1.44242 + 2.49835i
\(639\) −3.19275 5.53000i −0.126303 0.218763i
\(640\) −18.5982 12.6800i −0.735159 0.501223i
\(641\) 2.67792 11.7327i 0.105772 0.463415i −0.894107 0.447853i \(-0.852189\pi\)
0.999879 0.0155626i \(-0.00495394\pi\)
\(642\) −0.103942 0.0156667i −0.00410225 0.000618314i
\(643\) −26.5269 33.2637i −1.04612 1.31179i −0.948572 0.316563i \(-0.897471\pi\)
−0.0975487 0.995231i \(-0.531100\pi\)
\(644\) 2.80674 0.110601
\(645\) −1.53414 13.2775i −0.0604067 0.522800i
\(646\) −25.6107 −1.00764
\(647\) −18.0570 22.6428i −0.709894 0.890179i 0.287825 0.957683i \(-0.407068\pi\)
−0.997719 + 0.0675040i \(0.978496\pi\)
\(648\) −2.31037 0.348232i −0.0907598 0.0136798i
\(649\) −0.710900 + 3.11466i −0.0279053 + 0.122261i
\(650\) −8.61196 5.87153i −0.337789 0.230300i
\(651\) −1.28172 2.22001i −0.0502347 0.0870090i
\(652\) 5.66043 9.80415i 0.221679 0.383960i
\(653\) 2.42189 1.16632i 0.0947758 0.0456416i −0.385895 0.922543i \(-0.626107\pi\)
0.480671 + 0.876901i \(0.340393\pi\)
\(654\) −9.85997 3.04140i −0.385555 0.118928i
\(655\) 1.41988 + 18.9470i 0.0554792 + 0.740319i
\(656\) −12.4488 54.5420i −0.486046 2.12951i
\(657\) 4.53248 11.5486i 0.176829 0.450553i
\(658\) 0.308827 4.12101i 0.0120393 0.160654i
\(659\) −7.71731 + 1.16320i −0.300624 + 0.0453117i −0.297622 0.954684i \(-0.596194\pi\)
−0.00300156 + 0.999995i \(0.500955\pi\)
\(660\) −5.78699 5.36954i −0.225258 0.209009i
\(661\) −3.05815 1.47273i −0.118948 0.0572824i 0.373463 0.927645i \(-0.378170\pi\)
−0.492411 + 0.870363i \(0.663884\pi\)
\(662\) −13.3228 + 9.08333i −0.517805 + 0.353034i
\(663\) −7.58821 19.3345i −0.294702 0.750888i
\(664\) −14.0396 + 4.33064i −0.544841 + 0.168061i
\(665\) 2.08900 1.93830i 0.0810078 0.0751642i
\(666\) −2.37448 + 2.97751i −0.0920093 + 0.115376i
\(667\) −32.5662 + 40.8367i −1.26097 + 1.58120i
\(668\) −10.8916 + 10.1059i −0.421408 + 0.391010i
\(669\) 4.17070 1.28649i 0.161248 0.0497386i
\(670\) 4.21647 + 10.7434i 0.162896 + 0.415053i
\(671\) −18.3670 + 12.5224i −0.709049 + 0.483421i
\(672\) 2.91699 + 1.40475i 0.112525 + 0.0541893i
\(673\) 11.9248 + 11.0646i 0.459669 + 0.426510i 0.875712 0.482835i \(-0.160393\pi\)
−0.416043 + 0.909345i \(0.636583\pi\)
\(674\) 42.0314 6.33521i 1.61899 0.244023i
\(675\) 0.761574 10.1625i 0.0293130 0.391155i
\(676\) −0.809145 + 2.06167i −0.0311209 + 0.0792949i
\(677\) −0.535224 2.34497i −0.0205703 0.0901246i 0.963601 0.267345i \(-0.0861465\pi\)
−0.984171 + 0.177221i \(0.943289\pi\)
\(678\) 0.379236 + 5.06055i 0.0145645 + 0.194349i
\(679\) 0.105085 + 0.0324145i 0.00403280 + 0.00124395i
\(680\) 16.5988 7.99357i 0.636536 0.306540i
\(681\) 9.58209 16.5967i 0.367187 0.635986i
\(682\) 13.7815 + 23.8703i 0.527723 + 0.914042i
\(683\) 3.95745 + 2.69814i 0.151428 + 0.103242i 0.636664 0.771142i \(-0.280314\pi\)
−0.485236 + 0.874383i \(0.661266\pi\)
\(684\) 0.896920 3.92966i 0.0342946 0.150254i
\(685\) −14.0146 2.11236i −0.535470 0.0807091i
\(686\) −8.60183 10.7864i −0.328419 0.411825i
\(687\) −0.894617 −0.0341318
\(688\) −13.1652 29.9432i −0.501920 1.14157i
\(689\) −7.81798 −0.297841
\(690\) −11.4458 14.3526i −0.435734 0.546393i
\(691\) 17.5752 + 2.64903i 0.668591 + 0.100774i 0.474562 0.880222i \(-0.342606\pi\)
0.194029 + 0.980996i \(0.437844\pi\)
\(692\) −1.60662 + 7.03904i −0.0610743 + 0.267584i
\(693\) 3.55240 + 2.42198i 0.134944 + 0.0920035i
\(694\) 8.70830 + 15.0832i 0.330563 + 0.572551i
\(695\) 19.2991 33.4270i 0.732055 1.26796i
\(696\) −19.3609 + 9.32370i −0.733871 + 0.353414i
\(697\) 59.3897 + 18.3193i 2.24955 + 0.693893i
\(698\) −1.88045 25.0928i −0.0711760 0.949777i
\(699\) 6.68118 + 29.2722i 0.252706 + 1.10718i
\(700\) −0.365963 + 0.932459i −0.0138321 + 0.0352436i
\(701\) 0.194278 2.59246i 0.00733777 0.0979157i −0.992332 0.123598i \(-0.960557\pi\)
0.999670 + 0.0256821i \(0.00817577\pi\)
\(702\) 29.3920 4.43014i 1.10933 0.167205i
\(703\) −2.68187 2.48842i −0.101149 0.0938524i
\(704\) 7.69724 + 3.70679i 0.290100 + 0.139705i
\(705\) −6.88408 + 4.69349i −0.259270 + 0.176767i
\(706\) −7.47109 19.0360i −0.281178 0.716430i
\(707\) 2.34538 0.723453i 0.0882070 0.0272083i
\(708\) 0.555132 0.515087i 0.0208631 0.0193582i
\(709\) −23.9515 + 30.0342i −0.899517 + 1.12796i 0.0917101 + 0.995786i \(0.470767\pi\)
−0.991227 + 0.132172i \(0.957805\pi\)
\(710\) 7.17417 8.99613i 0.269242 0.337619i
\(711\) 16.3370 15.1585i 0.612686 0.568489i
\(712\) −8.12402 + 2.50593i −0.304461 + 0.0939136i
\(713\) 7.21822 + 18.3917i 0.270324 + 0.688775i
\(714\) −5.35038 + 3.64782i −0.200233 + 0.136516i
\(715\) −22.3891 10.7820i −0.837304 0.403224i
\(716\) 11.4001 + 10.5778i 0.426042 + 0.395309i
\(717\) −4.02963 + 0.607368i −0.150489 + 0.0226826i
\(718\) 0.978863 13.0620i 0.0365308 0.487470i
\(719\) 12.1950 31.0723i 0.454795 1.15880i −0.501177 0.865345i \(-0.667100\pi\)
0.955973 0.293455i \(-0.0948052\pi\)
\(720\) 3.25694 + 14.2696i 0.121379 + 0.531796i
\(721\) 0.699076 + 9.32852i 0.0260350 + 0.347412i
\(722\) −18.8681 5.82004i −0.702198 0.216599i
\(723\) 20.3234 9.78722i 0.755834 0.363991i
\(724\) −6.28965 + 10.8940i −0.233753 + 0.404872i
\(725\) −9.32061 16.1438i −0.346159 0.599565i
\(726\) 12.8060 + 8.73100i 0.475276 + 0.324038i
\(727\) 8.20631 35.9542i 0.304355 1.33347i −0.559125 0.829084i \(-0.688863\pi\)
0.863480 0.504384i \(-0.168280\pi\)
\(728\) 3.59426 + 0.541747i 0.133212 + 0.0200785i
\(729\) 12.9410 + 16.2275i 0.479296 + 0.601019i
\(730\) 22.3556 0.827416
\(731\) 36.1212 + 3.96622i 1.33599 + 0.146696i
\(732\) 5.26934 0.194760
\(733\) −16.6422 20.8687i −0.614695 0.770803i 0.372893 0.927875i \(-0.378366\pi\)
−0.987587 + 0.157072i \(0.949795\pi\)
\(734\) −5.40613 0.814842i −0.199544 0.0300764i
\(735\) −3.01456 + 13.2077i −0.111194 + 0.487172i
\(736\) −20.6176 14.0568i −0.759974 0.518142i
\(737\) −8.36368 14.4863i −0.308080 0.533610i
\(738\) −15.8662 + 27.4811i −0.584044 + 1.01159i
\(739\) −45.9243 + 22.1160i −1.68935 + 0.813550i −0.693716 + 0.720249i \(0.744028\pi\)
−0.995638 + 0.0933007i \(0.970258\pi\)
\(740\) −2.02142 0.623525i −0.0743088 0.0229212i
\(741\) 0.761302 + 10.1589i 0.0279671 + 0.373196i
\(742\) 0.542379 + 2.37632i 0.0199114 + 0.0872374i
\(743\) −7.59718 + 19.3573i −0.278714 + 0.710150i 0.721136 + 0.692794i \(0.243620\pi\)
−0.999849 + 0.0173567i \(0.994475\pi\)
\(744\) −0.607442 + 8.10575i −0.0222699 + 0.297171i
\(745\) −28.7876 + 4.33903i −1.05470 + 0.158970i
\(746\) 21.9587 + 20.3747i 0.803966 + 0.745971i
\(747\) 11.6832 + 5.62632i 0.427465 + 0.205856i
\(748\) 17.7334 12.0905i 0.648399 0.442071i
\(749\) 0.0116176 + 0.0296012i 0.000424498 + 0.00108160i
\(750\) 22.8197 7.03894i 0.833257 0.257026i
\(751\) −7.85716 + 7.29038i −0.286712 + 0.266030i −0.810396 0.585883i \(-0.800748\pi\)
0.523684 + 0.851913i \(0.324557\pi\)
\(752\) −12.7131 + 15.9417i −0.463598 + 0.581333i
\(753\) 6.41894 8.04910i 0.233919 0.293325i
\(754\) 39.8566 36.9815i 1.45149 1.34679i
\(755\) −26.7407 + 8.24842i −0.973194 + 0.300191i
\(756\) −1.04363 2.65914i −0.0379566 0.0967119i
\(757\) −2.76234 + 1.88333i −0.100399 + 0.0684508i −0.612479 0.790487i \(-0.709828\pi\)
0.512080 + 0.858938i \(0.328875\pi\)
\(758\) −27.0848 13.0433i −0.983764 0.473756i
\(759\) 19.5042 + 18.0973i 0.707958 + 0.656889i
\(760\) −8.93532 + 1.34678i −0.324118 + 0.0488529i
\(761\) −2.86710 + 38.2588i −0.103932 + 1.38688i 0.664662 + 0.747144i \(0.268575\pi\)
−0.768595 + 0.639736i \(0.779044\pi\)
\(762\) −9.38112 + 23.9027i −0.339842 + 0.865904i
\(763\) 0.694597 + 3.04323i 0.0251461 + 0.110172i
\(764\) −1.26211 16.8417i −0.0456615 0.609310i
\(765\) −15.5379 4.79281i −0.561774 0.173284i
\(766\) −38.1375 + 18.3661i −1.37797 + 0.663593i
\(767\) 1.19190 2.06443i 0.0430370 0.0745423i
\(768\) −10.2716 17.7909i −0.370644 0.641975i
\(769\) −0.538943 0.367445i −0.0194348 0.0132504i 0.553564 0.832807i \(-0.313268\pi\)
−0.572998 + 0.819556i \(0.694220\pi\)
\(770\) −1.72399 + 7.55329i −0.0621283 + 0.272202i
\(771\) −0.112098 0.0168960i −0.00403710 0.000608495i
\(772\)