Properties

Label 43.2.g.a.24.3
Level $43$
Weight $2$
Character 43.24
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 24.3
Character \(\chi\) \(=\) 43.24
Dual form 43.2.g.a.9.3

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{20}{21}\right)\)

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 −0.249957 0.968257i \(-0.580417\pi\)
0.999601 + 0.0282328i \(0.00898797\pi\)
\(3\) −1.14296 + 0.172273i −0.659887 + 0.0994619i −0.470444 0.882430i \(-0.655906\pi\)
−0.189443 + 0.981892i \(0.560668\pi\)
\(4\) −0.198316 0.868879i −0.0991580 0.434439i
\(5\) −1.45700 + 0.993363i −0.651588 + 0.444245i −0.843473 0.537172i \(-0.819493\pi\)
0.191884 + 0.981418i \(0.438540\pi\)
\(6\) −0.982695 + 1.70208i −0.401184 + 0.694871i
\(7\) −0.297283 0.514909i −0.112362 0.194617i 0.804360 0.594142i \(-0.202508\pi\)
−0.916722 + 0.399525i \(0.869175\pi\)
\(8\) 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 −0.590767 0.806843i \(-0.701175\pi\)
0.882338 0.470616i \(-0.155968\pi\)
\(12\) 0.376351 + 0.958927i 0.108643 + 0.276818i
\(13\) 0.242325 + 3.23360i 0.0672089 + 0.896840i 0.924298 + 0.381672i \(0.124652\pi\)
−0.857089 + 0.515168i \(0.827729\pi\)
\(14\) −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 −0.138078 0.990421i \(-0.544093\pi\)
−0.972403 + 0.233308i \(0.925045\pi\)
\(18\) −1.03368 + 2.63377i −0.243640 + 0.620785i
\(19\) 2.59725 + 0.801147i 0.595851 + 0.183796i 0.577989 0.816045i \(-0.303838\pi\)
0.0178622 + 0.999840i \(0.494314\pi\)
\(20\) 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 0.162239 0.986751i \(-0.448128\pi\)
−0.971868 + 0.235526i \(0.924319\pi\)
\(24\) −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 0.965284 0.261201i \(-0.0841186\pi\)
0.845409 + 0.534119i \(0.179357\pi\)
\(30\) −0.258998 3.45609i −0.0472864 0.630993i
\(31\) 1.36275 + 3.47222i 0.244756 + 0.623629i 0.999474 0.0324203i \(-0.0103215\pi\)
−0.754718 + 0.656049i \(0.772226\pi\)
\(32\) 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 −0.916030 0.401111i \(-0.868624\pi\)
0.805387 + 0.592749i \(0.201958\pi\)
\(38\) 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 −0.168643 + 0.985677i \(0.553938\pi\)
−0.923438 + 0.383748i \(0.874633\pi\)
\(42\) 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 −0.996934 0.0782499i \(-0.975067\pi\)
0.864255 0.503054i \(-0.167790\pi\)
\(48\) −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 0.971063 + 0.238822i \(0.0767611\pi\)
−0.995812 + 0.0914247i \(0.970858\pi\)
\(54\) 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 −0.390272 0.920699i \(-0.627619\pi\)
0.476501 + 0.879174i \(0.341905\pi\)
\(60\) −1.50090 1.02330i −0.193766 0.132107i
\(61\) 1.86879 4.76159i 0.239273 0.609659i −0.759911 0.650027i \(-0.774758\pi\)
0.999185 + 0.0403678i \(0.0128530\pi\)
\(62\) 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 0.0618180 0.998087i \(-0.480310\pi\)
−0.511166 + 0.859482i \(0.670786\pi\)
\(68\) −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 −0.495377 0.868678i \(-0.664970\pi\)
0.829229 + 0.558908i \(0.188780\pi\)
\(72\) −3.10208 0.467563i −0.365583 0.0551028i
\(73\) −0.557170 7.43491i −0.0652118 0.870191i −0.929884 0.367854i \(-0.880093\pi\)
0.864672 0.502337i \(-0.167526\pi\)
\(74\) 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 −0.946146 0.323740i \(-0.895060\pi\)
0.192706 0.981257i \(-0.438274\pi\)
\(80\) −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 −0.557643 0.830081i \(-0.688294\pi\)
−0.288198 + 0.957571i \(0.593056\pi\)
\(84\) 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 −0.381053 0.924553i \(-0.624439\pi\)
−0.0916073 + 0.995795i \(0.529200\pi\)
\(90\) −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 −0.976974 0.213357i \(-0.931560\pi\)
0.972795 + 0.231666i \(0.0744175\pi\)
\(98\) −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 −0.816227 0.577731i \(-0.803938\pi\)
0.515119 + 0.857119i \(0.327748\pi\)
\(102\) 9.81271 4.72555i 0.971603 0.467899i
\(103\) 12.9998 + 8.86308i 1.28090 + 0.873305i 0.996351 0.0853552i \(-0.0272025\pi\)
0.284553 + 0.958660i \(0.408155\pi\)
\(104\) −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 0.783441 0.621467i \(-0.213463\pi\)
−0.780217 + 0.625509i \(0.784891\pi\)
\(108\) −2.99557 3.75633i −0.288249 0.361453i
\(109\) 3.84855 + 3.57093i 0.368624 + 0.342033i 0.842635 0.538486i \(-0.181003\pi\)
−0.474010 + 0.880519i \(0.657194\pi\)
\(110\) 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 −0.540094 0.841605i \(-0.681611\pi\)
0.321250 + 0.946995i \(0.395897\pi\)
\(114\) −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 −0.998494 0.0548559i \(-0.982530\pi\)
0.275666 + 0.961253i \(0.411101\pi\)
\(128\) 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 −0.983280 0.182101i \(-0.941710\pi\)
0.396336 + 0.918106i \(0.370282\pi\)
\(132\) 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 0.716842 0.697236i \(-0.245587\pi\)
−0.0981775 + 0.995169i \(0.531301\pi\)
\(138\) 9.94782 3.06850i 0.846815 0.261208i
\(139\) 1.63572 21.8272i 0.138740 1.85136i −0.301487 0.953470i \(-0.597483\pi\)
0.440227 0.897887i \(-0.354898\pi\)
\(140\) 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 0.996791 0.0800518i \(-0.0255086\pi\)
−0.00533774 + 0.999986i \(0.501699\pi\)
\(150\) −2.31649 2.90479i −0.189141 0.237175i
\(151\) 9.89432 + 12.4071i 0.805188 + 1.00967i 0.999587 + 0.0287513i \(0.00915309\pi\)
−0.194398 + 0.980923i \(0.562275\pi\)
\(152\) 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 −0.464333 0.885661i \(-0.653706\pi\)
0.848485 + 0.529220i \(0.177515\pi\)
\(158\) −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 −0.731065 0.682308i \(-0.760976\pi\)
−0.219677 + 0.975573i \(0.570500\pi\)
\(164\) 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 0.102487 0.994734i \(-0.467320\pi\)
0.963415 + 0.268015i \(0.0863678\pi\)
\(168\) 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 0.982606 + 0.185702i \(0.0594558\pi\)
−0.330481 + 0.943813i \(0.607211\pi\)
\(180\) −2.35610 1.13464i −0.175614 0.0845711i
\(181\) 13.4876 4.16037i 1.00252 0.309238i 0.250316 0.968164i \(-0.419465\pi\)
0.752207 + 0.658927i \(0.228989\pi\)
\(182\) 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 −0.440559 0.897724i \(-0.645220\pi\)
−0.869713 + 0.493558i \(0.835696\pi\)
\(192\) −1.66570 1.54555i −0.120212 0.111540i
\(193\) −13.2105 16.5654i −0.950912 1.19241i −0.981225 0.192866i \(-0.938222\pi\)
0.0303130 0.999540i \(-0.490350\pi\)
\(194\) 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 −0.889418 0.457094i \(-0.848890\pi\)
0.962893 + 0.269885i \(0.0869856\pi\)
\(198\) 10.1593 + 6.92647i 0.721988 + 0.492243i
\(199\) 0.0117039 0.00563631i 0.000829669 0.000399547i −0.433469 0.901169i \(-0.642711\pi\)
0.434299 + 0.900769i \(0.356996\pi\)
\(200\) −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 0.988817 0.149134i \(-0.0476485\pi\)
−0.955600 + 0.294667i \(0.904791\pi\)
\(212\) 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 0.316491 0.948595i \(-0.397495\pi\)
−0.544313 + 0.838882i \(0.683209\pi\)
\(224\) −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 −0.978315 0.207123i \(-0.933590\pi\)
0.576276 0.817255i \(-0.304505\pi\)
\(228\) 0.209238 + 2.79209i 0.0138571 + 0.184911i
\(229\) 0.765334 + 0.115355i 0.0505747 + 0.00762291i 0.174281 0.984696i \(-0.444240\pi\)
−0.123706 + 0.992319i \(0.539478\pi\)
\(230\) 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 0.178190 + 0.983996i \(0.442976\pi\)
−0.799910 + 0.600120i \(0.795119\pi\)
\(234\) −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 0.401793 0.915730i \(-0.368387\pi\)
−0.183872 + 0.982950i \(0.558863\pi\)
\(240\) 3.71450 9.46439i 0.239770 0.610924i
\(241\) −16.1244 10.9934i −1.03866 0.708149i −0.0811985 0.996698i \(-0.525875\pi\)
−0.957465 + 0.288549i \(0.906827\pi\)
\(242\) −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 0.690557 0.723278i \(-0.257366\pi\)
−0.971656 + 0.236401i \(0.924032\pi\)
\(252\) 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 −0.575079 0.818098i \(-0.695029\pi\)
0.551446 + 0.834211i \(0.314076\pi\)
\(264\) −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 0.592833 + 0.805325i \(0.298009\pi\)
−0.883542 + 0.468352i \(0.844848\pi\)
\(270\) 5.90549 + 15.0469i 0.359397 + 0.915727i
\(271\) −0.706856 9.43234i −0.0429385 0.572974i −0.976634 0.214907i \(-0.931055\pi\)
0.933696 0.358067i \(-0.116564\pi\)
\(272\) −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 0.637341 0.770582i \(-0.280034\pi\)
0.0925114 + 0.995712i \(0.470511\pi\)
\(278\) −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 0.128896 0.991658i \(-0.458857\pi\)
−0.979253 + 0.202643i \(0.935047\pi\)
\(282\) 7.67702 + 2.36805i 0.457160 + 0.141015i
\(283\) 0.901034 2.29580i 0.0535609 0.136471i −0.901589 0.432594i \(-0.857598\pi\)
0.955150 + 0.296123i \(0.0956937\pi\)
\(284\) −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 0.908119 0.418712i \(-0.137518\pi\)
0.238841 + 0.971059i \(0.423233\pi\)
\(294\) 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 −0.427786 0.903880i \(-0.640706\pi\)
0.996676 0.0814663i \(-0.0259603\pi\)
\(308\) 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 0.970686 + 0.240349i \(0.0772620\pi\)
−0.995667 + 0.0929916i \(0.970357\pi\)
\(312\) 1.57241 6.88919i 0.0890204 0.390024i
\(313\) 7.65823 + 19.5129i 0.432869 + 1.10293i 0.966375 + 0.257136i \(0.0827788\pi\)
−0.533506 + 0.845796i \(0.679126\pi\)
\(314\) −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 −0.893412 0.449238i \(-0.851695\pi\)
−0.205805 + 0.978593i \(0.565981\pi\)
\(318\) −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 −0.982218 0.187742i \(-0.939883\pi\)
0.943266 0.332037i \(-0.107736\pi\)
\(332\) 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 0.974715 + 0.223452i \(0.0717325\pi\)
−0.293843 + 0.955854i \(0.594934\pi\)
\(338\) 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 0.128564 0.991701i \(-0.458963\pi\)
0.415162 + 0.909748i \(0.363725\pi\)
\(348\) 2.26041 + 9.90351i 0.121171 + 0.530884i
\(349\) −12.2273 + 8.33643i −0.654512 + 0.446239i −0.844506 0.535547i \(-0.820106\pi\)
0.189994 + 0.981785i \(0.439153\pi\)
\(350\) 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 −0.585088 0.810970i \(-0.698940\pi\)
−0.0265870 + 0.999647i \(0.508464\pi\)
\(354\) −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 −0.814990 0.579475i \(-0.803257\pi\)
0.516951 + 0.856015i \(0.327067\pi\)
\(360\) 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 0.616256 0.787546i \(-0.288648\pi\)
−0.739290 + 0.673387i \(0.764839\pi\)
\(368\) −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 0.583630 0.812020i \(-0.301632\pi\)
0.318354 + 0.947972i \(0.396870\pi\)
\(374\) 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 −0.0225300 0.999746i \(-0.507172\pi\)
−0.795680 + 0.605717i \(0.792886\pi\)
\(380\) 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 −0.893851 0.448364i \(-0.852007\pi\)
0.610795 0.791789i \(-0.290850\pi\)
\(384\) −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 −0.876673 0.481087i \(-0.840242\pi\)
0.664103 + 0.747641i \(0.268813\pi\)
\(390\) 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 0.819227 + 0.573469i \(0.194403\pi\)
−0.895548 + 0.444964i \(0.853216\pi\)
\(398\) 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 0.144274 0.989538i \(-0.453915\pi\)
−0.153807 + 0.988101i \(0.549153\pi\)
\(402\) 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 0.774185 0.632960i \(-0.218160\pi\)
−0.789362 + 0.613928i \(0.789589\pi\)
\(410\) −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 −0.809204 0.587527i \(-0.800102\pi\)
0.983986 0.178243i \(-0.0570413\pi\)
\(420\) −0.0807128 + 1.07704i −0.00393838 + 0.0525541i
\(421\) −34.8128 + 10.7383i −1.69667 + 0.523355i −0.984004 0.178145i \(-0.942990\pi\)
−0.712670 + 0.701500i \(0.752514\pi\)
\(422\) 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 0.542640 0.839965i \(-0.317425\pi\)
0.766116 + 0.642702i \(0.222187\pi\)
\(434\) −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 −0.984634 0.174631i \(-0.944127\pi\)
−0.715170 + 0.698951i \(0.753651\pi\)
\(440\) −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 −0.998454 0.0555912i \(-0.982296\pi\)
0.979016 0.203782i \(-0.0653234\pi\)
\(444\) −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 0.761298 0.648402i \(-0.224562\pi\)
0.263757 + 0.964589i \(0.415038\pi\)
\(450\) −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 0.423264 0.906006i \(-0.360884\pi\)
0.972245 + 0.233964i \(0.0751699\pi\)
\(458\) 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 0.744914 0.667161i \(-0.232491\pi\)
−0.999845 + 0.0176063i \(0.994395\pi\)
\(462\) 1.13003 4.95099i 0.0525738 0.230341i
\(463\) 1.36296 18.1874i 0.0633419 0.845239i −0.871550 0.490307i \(-0.836885\pi\)
0.934892 0.354932i \(-0.115496\pi\)
\(464\) 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 −0.903471 0.428650i \(-0.858989\pi\)
0.822957 + 0.568104i \(0.192323\pi\)
\(468\) −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 0.450417 + 0.892818i \(0.351275\pi\)
−0.998412 + 0.0563362i \(0.982058\pi\)
\(480\) −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 0.247320 0.968934i \(-0.420450\pi\)
−0.0492658 + 0.998786i \(0.515688\pi\)
\(488\) 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 −0.741770 0.670654i \(-0.766014\pi\)
0.999917 + 0.0129076i \(0.00410874\pi\)
\(492\) −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 0.999540 + 0.0303356i \(0.00965760\pi\)
0.393411 + 0.919363i \(0.371295\pi\)
\(500\) −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 −0.771530 0.636193i \(-0.780508\pi\)
0.668093 0.744077i \(-0.267111\pi\)
\(504\) 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 0.809860 0.586624i \(-0.199543\pi\)
−0.912961 + 0.408047i \(0.866210\pi\)
\(510\) −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 −0.684578 0.728939i \(-0.740014\pi\)
0.428446 + 0.903567i \(0.359061\pi\)
\(522\) −13.9501 + 24.1623i −0.610581 + 1.05756i
\(523\) −2.20635 3.82151i −0.0964770 0.167103i 0.813747 0.581219i \(-0.197424\pi\)
−0.910224 + 0.414116i \(0.864091\pi\)
\(524\) 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 0.731937 + 0.681372i \(0.238616\pi\)
−0.999999 + 0.00163693i \(0.999479\pi\)
\(542\) −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 0.988140 0.153553i \(-0.0490715\pi\)
−0.828801 + 0.559544i \(0.810976\pi\)
\(548\) 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 −0.169097 0.985599i \(-0.554085\pi\)
0.998516 0.0544591i \(-0.0173435\pi\)
\(558\) −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 0.768317 + 0.640069i \(0.221094\pi\)
−0.414515 + 0.910043i \(0.636049\pi\)
\(564\) 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 −0.988668 0.150120i \(-0.952034\pi\)
0.999999 0.00109048i \(-0.000347110\pi\)
\(570\) 2.09615 9.18385i 0.0877982 0.384669i
\(571\) 5.62048 + 14.3207i 0.235210 + 0.599304i 0.998930 0.0462426i \(-0.0147247\pi\)
−0.763721 + 0.645547i \(0.776629\pi\)
\(572\) −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 −0.454766 0.890611i \(-0.650277\pi\)
0.939136 0.343545i \(-0.111628\pi\)
\(578\) 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 −0.909391 0.415943i \(-0.863452\pi\)
0.346821 + 0.937931i \(0.387261\pi\)
\(588\) 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 −0.226661 0.973974i \(-0.572781\pi\)
0.361383 + 0.932417i \(0.382305\pi\)
\(594\) −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 −0.516040 0.856564i \(-0.672594\pi\)
−0.240637 + 0.970615i \(0.577356\pi\)
\(600\) 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 −0.0541516 0.998533i \(-0.517245\pi\)
0.909724 + 0.415213i \(0.136293\pi\)
\(608\) 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 −0.830709 0.556707i \(-0.812065\pi\)
0.989989 0.141144i \(-0.0450781\pi\)
\(614\) −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 −0.853471 0.521141i \(-0.825507\pi\)
0.455904 + 0.890029i \(0.349316\pi\)
\(618\) −27.8605 + 13.4169i −1.12071 + 0.539706i
\(619\) 25.1021 + 17.1143i 1.00894 + 0.687882i 0.950601 0.310415i \(-0.100468\pi\)
0.0583365 + 0.998297i \(0.481420\pi\)
\(620\) −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 0.261664 0.965159i \(-0.415729\pi\)
−0.0344469 + 0.999407i \(0.510967\pi\)
\(632\) −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 0.999879 + 0.0155626i \(0.00495394\pi\)
−0.894107 + 0.447853i \(0.852189\pi\)
\(642\) −0.103942 + 0.0156667i −0.00410225 + 0.000618314i
\(643\) −26.5269 + 33.2637i −1.04612 + 1.31179i −0.0975487 + 0.995231i \(0.531100\pi\)
−0.948572 + 0.316563i \(0.897471\pi\)
\(644\) 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 −0.997719 0.0675040i \(-0.978496\pi\)
0.287825 + 0.957683i \(0.407068\pi\)
\(648\) −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 0.480671 0.876901i \(-0.340393\pi\)
−0.385895 + 0.922543i \(0.626107\pi\)
\(654\) −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 −0.00300156 0.999995i \(-0.500955\pi\)
−0.297622 + 0.954684i \(0.596194\pi\)
\(660\) −5.78699 + 5.36954i −0.225258 + 0.209009i
\(661\) −3.05815 + 1.47273i −0.118948 + 0.0572824i −0.492411 0.870363i \(-0.663884\pi\)
0.373463 + 0.927645i \(0.378170\pi\)
\(662\) −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 −0.416043 0.909345i \(-0.636583\pi\)
0.875712 + 0.482835i \(0.160393\pi\)
\(674\) 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 −0.984171 0.177221i \(-0.943289\pi\)
0.963601 + 0.267345i \(0.0861465\pi\)
\(678\) 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 −0.485236 0.874383i \(-0.661266\pi\)
0.636664 + 0.771142i \(0.280314\pi\)
\(684\) 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 0.194029 0.980996i \(-0.437844\pi\)
0.474562 + 0.880222i \(0.342606\pi\)
\(692\) −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 0.999670 0.0256821i \(-0.00817577\pi\)
−0.992332 + 0.123598i \(0.960557\pi\)
\(702\) 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 −0.991227 0.132172i \(-0.957805\pi\)
0.0917101 0.995786i \(-0.470767\pi\)
\(710\) 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 0.955973 + 0.293455i \(0.0948052\pi\)
−0.501177 + 0.865345i \(0.667100\pi\)
\(720\) 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 0.863480 + 0.504384i \(0.168280\pi\)
−0.559125 + 0.829084i \(0.688863\pi\)
\(728\) 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 −0.987587 0.157072i \(-0.949795\pi\)
0.372893 + 0.927875i \(0.378366\pi\)
\(734\) −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 −0.995638 0.0933007i \(-0.970258\pi\)
−0.693716 0.720249i \(-0.744028\pi\)
\(740\) −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 −0.999849 0.0173567i \(-0.994475\pi\)
0.721136 0.692794i \(-0.243620\pi\)
\(744\) −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 0.523684 0.851913i \(-0.324557\pi\)
−0.810396 + 0.585883i \(0.800748\pi\)
\(752\) −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 0.512080 0.858938i \(-0.328875\pi\)
−0.612479 + 0.790487i \(0.709828\pi\)
\(758\) −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 −0.768595 0.639736i \(-0.779044\pi\)
0.664662 0.747144i \(-0.268575\pi\)
\(762\) −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 −0.572998 0.819556i \(-0.694220\pi\)
0.553564 + 0.832807i \(0.313268\pi\)
\(770\) −1.72399 7.55329i −0.0621283 0.272202i
\(771\) −0.112098 + 0.0168960i