Properties

Label 731.2.z.a.67.19
Level 731
Weight 2
Character 731.67
Analytic conductor 5.837
Analytic rank 0
Dimension 768
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(64\) over \(\Q(\zeta_{42})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 67.19
Character \(\chi\) = 731.67
Dual form 731.2.z.a.611.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.755649 + 0.947554i) q^{2} +(-0.215818 - 1.43186i) q^{3} +(0.118189 + 0.517820i) q^{4} +(-1.58922 - 2.33095i) q^{5} +(1.51984 + 0.877483i) q^{6} +(1.01277 - 0.584720i) q^{7} +(-2.76386 - 1.33100i) q^{8} +(0.863080 - 0.266225i) q^{9} +O(q^{10})\) \(q+(-0.755649 + 0.947554i) q^{2} +(-0.215818 - 1.43186i) q^{3} +(0.118189 + 0.517820i) q^{4} +(-1.58922 - 2.33095i) q^{5} +(1.51984 + 0.877483i) q^{6} +(1.01277 - 0.584720i) q^{7} +(-2.76386 - 1.33100i) q^{8} +(0.863080 - 0.266225i) q^{9} +(3.40959 + 0.255514i) q^{10} +(4.33416 + 0.989244i) q^{11} +(0.715937 - 0.280984i) q^{12} +(0.132431 + 1.76717i) q^{13} +(-0.211241 + 1.40149i) q^{14} +(-2.99461 + 2.77859i) q^{15} +(2.39263 - 1.15223i) q^{16} +(-4.04247 - 0.811437i) q^{17} +(-0.399923 + 1.01899i) q^{18} +(-3.67852 - 1.13467i) q^{19} +(1.01919 - 1.09842i) q^{20} +(-1.05581 - 1.32394i) q^{21} +(-4.21247 + 3.35933i) q^{22} +(-1.03335 + 1.11368i) q^{23} +(-1.30932 + 4.24471i) q^{24} +(-1.08103 + 2.75441i) q^{25} +(-1.77456 - 1.20988i) q^{26} +(-2.45230 - 5.09224i) q^{27} +(0.422477 + 0.455322i) q^{28} +(1.31114 - 8.69885i) q^{29} +(-0.369992 - 4.93720i) q^{30} +(5.10967 - 2.00540i) q^{31} +(0.649045 - 2.84365i) q^{32} +(0.481067 - 6.41940i) q^{33} +(3.82357 - 3.21730i) q^{34} +(-2.97246 - 1.43146i) q^{35} +(0.239863 + 0.415455i) q^{36} +(-8.49656 - 4.90549i) q^{37} +(3.85484 - 2.62818i) q^{38} +(2.50176 - 0.571010i) q^{39} +(1.28986 + 8.55768i) q^{40} +(-3.60772 - 2.87706i) q^{41} +2.05233 q^{42} +(3.21446 + 5.71553i) q^{43} +2.36123i q^{44} +(-1.99218 - 1.58871i) q^{45} +(-0.274427 - 1.82070i) q^{46} +(-2.29884 - 10.0719i) q^{47} +(-2.16620 - 3.17724i) q^{48} +(-2.81620 + 4.87781i) q^{49} +(-1.79308 - 3.10570i) q^{50} +(-0.289425 + 5.96336i) q^{51} +(-0.899425 + 0.277436i) q^{52} +(-0.241147 + 3.21789i) q^{53} +(6.67825 + 1.52427i) q^{54} +(-4.58204 - 11.6748i) q^{55} +(-3.57741 + 0.268090i) q^{56} +(-0.830801 + 5.51200i) q^{57} +(7.25187 + 7.81565i) q^{58} +(9.16431 - 4.41330i) q^{59} +(-1.79274 - 1.22227i) q^{60} +(-4.01110 - 1.57424i) q^{61} +(-1.96089 + 6.35706i) q^{62} +(0.718430 - 0.774283i) q^{63} +(5.51557 + 6.91630i) q^{64} +(3.90874 - 3.11711i) q^{65} +(5.71921 + 5.30665i) q^{66} +(-7.09382 - 2.18815i) q^{67} +(-0.0575974 - 2.18917i) q^{68} +(1.81765 + 1.23925i) q^{69} +(3.60252 - 1.73488i) q^{70} +(-4.06250 - 4.37833i) q^{71} +(-2.73978 - 0.412955i) q^{72} +(13.3104 - 0.997474i) q^{73} +(11.0686 - 4.34412i) q^{74} +(4.17723 + 0.953425i) q^{75} +(0.152796 - 2.03892i) q^{76} +(4.96792 - 1.53240i) q^{77} +(-1.34939 + 2.80204i) q^{78} +(0.790201 - 0.456223i) q^{79} +(-6.48821 - 3.74597i) q^{80} +(-4.52332 + 3.08395i) q^{81} +(5.45234 - 1.24446i) q^{82} +(-15.5826 + 2.34869i) q^{83} +(0.560778 - 0.703194i) q^{84} +(4.53294 + 10.7124i) q^{85} +(-7.84477 - 1.27306i) q^{86} -12.7385 q^{87} +(-10.6623 - 8.50292i) q^{88} +(-1.67793 + 0.252907i) q^{89} +(3.01078 - 0.687190i) q^{90} +(1.16742 + 1.71230i) q^{91} +(-0.698816 - 0.403462i) q^{92} +(-3.97420 - 6.88351i) q^{93} +(11.2808 + 5.43253i) q^{94} +(3.20110 + 10.3777i) q^{95} +(-4.21178 - 0.315629i) q^{96} +(-7.31414 - 1.66940i) q^{97} +(-2.49392 - 6.35442i) q^{98} +(4.00409 - 0.300065i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768q - 24q^{2} - 144q^{4} - 16q^{8} - 98q^{9} + O(q^{10}) \) \( 768q - 24q^{2} - 144q^{4} - 16q^{8} - 98q^{9} - 18q^{13} - 30q^{15} - 160q^{16} - 16q^{17} - 54q^{18} - 68q^{19} - 50q^{21} - 88q^{25} - 26q^{26} - 50q^{32} - 36q^{33} - 38q^{34} + 14q^{35} + 328q^{36} - 44q^{38} - 148q^{42} + 102q^{43} - 64q^{47} + 298q^{49} + 40q^{50} - 31q^{51} - 38q^{52} - 28q^{53} - 80q^{55} - 16q^{59} - 34q^{60} - 64q^{64} - 126q^{66} + 74q^{67} - 132q^{68} - 28q^{69} + 50q^{70} + 26q^{72} - 258q^{76} - 112q^{77} + 90q^{81} + 48q^{83} - 298q^{84} + 36q^{85} + 142q^{86} + 192q^{87} - 120q^{89} - 188q^{93} + 64q^{94} + 146q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(-1\) \(e\left(\frac{20}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.755649 + 0.947554i −0.534325 + 0.670022i −0.973582 0.228340i \(-0.926670\pi\)
0.439257 + 0.898361i \(0.355242\pi\)
\(3\) −0.215818 1.43186i −0.124602 0.826683i −0.960597 0.277945i \(-0.910347\pi\)
0.835994 0.548738i \(-0.184892\pi\)
\(4\) 0.118189 + 0.517820i 0.0590945 + 0.258910i
\(5\) −1.58922 2.33095i −0.710719 1.04243i −0.996455 0.0841255i \(-0.973190\pi\)
0.285736 0.958308i \(-0.407762\pi\)
\(6\) 1.51984 + 0.877483i 0.620474 + 0.358231i
\(7\) 1.01277 0.584720i 0.382789 0.221003i −0.296242 0.955113i \(-0.595733\pi\)
0.679031 + 0.734109i \(0.262400\pi\)
\(8\) −2.76386 1.33100i −0.977172 0.470581i
\(9\) 0.863080 0.266225i 0.287693 0.0887416i
\(10\) 3.40959 + 0.255514i 1.07821 + 0.0808005i
\(11\) 4.33416 + 0.989244i 1.30680 + 0.298268i 0.818550 0.574436i \(-0.194779\pi\)
0.488249 + 0.872704i \(0.337636\pi\)
\(12\) 0.715937 0.280984i 0.206673 0.0811132i
\(13\) 0.132431 + 1.76717i 0.0367299 + 0.490126i 0.984988 + 0.172625i \(0.0552247\pi\)
−0.948258 + 0.317501i \(0.897156\pi\)
\(14\) −0.211241 + 1.40149i −0.0564565 + 0.374565i
\(15\) −2.99461 + 2.77859i −0.773205 + 0.717430i
\(16\) 2.39263 1.15223i 0.598158 0.288058i
\(17\) −4.04247 0.811437i −0.980443 0.196802i
\(18\) −0.399923 + 1.01899i −0.0942628 + 0.240178i
\(19\) −3.67852 1.13467i −0.843911 0.260312i −0.157494 0.987520i \(-0.550341\pi\)
−0.686417 + 0.727208i \(0.740818\pi\)
\(20\) 1.01919 1.09842i 0.227897 0.245614i
\(21\) −1.05581 1.32394i −0.230396 0.288908i
\(22\) −4.21247 + 3.35933i −0.898101 + 0.716211i
\(23\) −1.03335 + 1.11368i −0.215467 + 0.232219i −0.831532 0.555477i \(-0.812536\pi\)
0.616064 + 0.787696i \(0.288726\pi\)
\(24\) −1.30932 + 4.24471i −0.267264 + 0.866447i
\(25\) −1.08103 + 2.75441i −0.216205 + 0.550882i
\(26\) −1.77456 1.20988i −0.348021 0.237276i
\(27\) −2.45230 5.09224i −0.471944 0.980003i
\(28\) 0.422477 + 0.455322i 0.0798407 + 0.0860478i
\(29\) 1.31114 8.69885i 0.243473 1.61534i −0.448754 0.893655i \(-0.648132\pi\)
0.692227 0.721680i \(-0.256630\pi\)
\(30\) −0.369992 4.93720i −0.0675509 0.901405i
\(31\) 5.10967 2.00540i 0.917723 0.360180i 0.140991 0.990011i \(-0.454971\pi\)
0.776732 + 0.629831i \(0.216876\pi\)
\(32\) 0.649045 2.84365i 0.114736 0.502691i
\(33\) 0.481067 6.41940i 0.0837431 1.11747i
\(34\) 3.82357 3.21730i 0.655737 0.551762i
\(35\) −2.97246 1.43146i −0.502437 0.241961i
\(36\) 0.239863 + 0.415455i 0.0399772 + 0.0692425i
\(37\) −8.49656 4.90549i −1.39683 0.806457i −0.402767 0.915303i \(-0.631951\pi\)
−0.994059 + 0.108845i \(0.965285\pi\)
\(38\) 3.85484 2.62818i 0.625337 0.426348i
\(39\) 2.50176 0.571010i 0.400602 0.0914348i
\(40\) 1.28986 + 8.55768i 0.203945 + 1.35309i
\(41\) −3.60772 2.87706i −0.563431 0.449322i 0.299892 0.953973i \(-0.403049\pi\)
−0.863323 + 0.504652i \(0.831621\pi\)
\(42\) 2.05233 0.316681
\(43\) 3.21446 + 5.71553i 0.490200 + 0.871610i
\(44\) 2.36123i 0.355969i
\(45\) −1.99218 1.58871i −0.296976 0.236831i
\(46\) −0.274427 1.82070i −0.0404620 0.268448i
\(47\) −2.29884 10.0719i −0.335320 1.46913i −0.808671 0.588261i \(-0.799813\pi\)
0.473351 0.880874i \(-0.343044\pi\)
\(48\) −2.16620 3.17724i −0.312665 0.458595i
\(49\) −2.81620 + 4.87781i −0.402315 + 0.696830i
\(50\) −1.79308 3.10570i −0.253579 0.439212i
\(51\) −0.289425 + 5.96336i −0.0405276 + 0.835038i
\(52\) −0.899425 + 0.277436i −0.124728 + 0.0384734i
\(53\) −0.241147 + 3.21789i −0.0331241 + 0.442011i 0.955843 + 0.293877i \(0.0949457\pi\)
−0.988967 + 0.148134i \(0.952673\pi\)
\(54\) 6.67825 + 1.52427i 0.908795 + 0.207426i
\(55\) −4.58204 11.6748i −0.617842 1.57424i
\(56\) −3.57741 + 0.268090i −0.478051 + 0.0358250i
\(57\) −0.830801 + 5.51200i −0.110042 + 0.730083i
\(58\) 7.25187 + 7.81565i 0.952217 + 1.02625i
\(59\) 9.16431 4.41330i 1.19309 0.574563i 0.271393 0.962469i \(-0.412516\pi\)
0.921699 + 0.387906i \(0.126801\pi\)
\(60\) −1.79274 1.22227i −0.231442 0.157794i
\(61\) −4.01110 1.57424i −0.513569 0.201561i 0.0943811 0.995536i \(-0.469913\pi\)
−0.607950 + 0.793975i \(0.708008\pi\)
\(62\) −1.96089 + 6.35706i −0.249034 + 0.807347i
\(63\) 0.718430 0.774283i 0.0905137 0.0975505i
\(64\) 5.51557 + 6.91630i 0.689446 + 0.864538i
\(65\) 3.90874 3.11711i 0.484819 0.386630i
\(66\) 5.71921 + 5.30665i 0.703986 + 0.653203i
\(67\) −7.09382 2.18815i −0.866648 0.267325i −0.170617 0.985337i \(-0.554576\pi\)
−0.696031 + 0.718012i \(0.745052\pi\)
\(68\) −0.0575974 2.18917i −0.00698471 0.265476i
\(69\) 1.81765 + 1.23925i 0.218819 + 0.149188i
\(70\) 3.60252 1.73488i 0.430584 0.207358i
\(71\) −4.06250 4.37833i −0.482129 0.519612i 0.444403 0.895827i \(-0.353416\pi\)
−0.926532 + 0.376215i \(0.877225\pi\)
\(72\) −2.73978 0.412955i −0.322886 0.0486672i
\(73\) 13.3104 0.997474i 1.55786 0.116745i 0.732270 0.681015i \(-0.238461\pi\)
0.825591 + 0.564269i \(0.190842\pi\)
\(74\) 11.0686 4.34412i 1.28670 0.504993i
\(75\) 4.17723 + 0.953425i 0.482345 + 0.110092i
\(76\) 0.152796 2.03892i 0.0175269 0.233880i
\(77\) 4.96792 1.53240i 0.566147 0.174633i
\(78\) −1.34939 + 2.80204i −0.152788 + 0.317268i
\(79\) 0.790201 0.456223i 0.0889045 0.0513290i −0.454889 0.890548i \(-0.650321\pi\)
0.543793 + 0.839219i \(0.316988\pi\)
\(80\) −6.48821 3.74597i −0.725404 0.418812i
\(81\) −4.52332 + 3.08395i −0.502592 + 0.342661i
\(82\) 5.45234 1.24446i 0.602110 0.137428i
\(83\) −15.5826 + 2.34869i −1.71041 + 0.257802i −0.930024 0.367499i \(-0.880214\pi\)
−0.780383 + 0.625301i \(0.784976\pi\)
\(84\) 0.560778 0.703194i 0.0611859 0.0767247i
\(85\) 4.53294 + 10.7124i 0.491667 + 1.16192i
\(86\) −7.84477 1.27306i −0.845923 0.137278i
\(87\) −12.7385 −1.36571
\(88\) −10.6623 8.50292i −1.13661 0.906414i
\(89\) −1.67793 + 0.252907i −0.177860 + 0.0268081i −0.237368 0.971420i \(-0.576285\pi\)
0.0595081 + 0.998228i \(0.481047\pi\)
\(90\) 3.01078 0.687190i 0.317364 0.0724362i
\(91\) 1.16742 + 1.71230i 0.122379 + 0.179497i
\(92\) −0.698816 0.403462i −0.0728566 0.0420638i
\(93\) −3.97420 6.88351i −0.412105 0.713787i
\(94\) 11.2808 + 5.43253i 1.16352 + 0.560323i
\(95\) 3.20110 + 10.3777i 0.328426 + 1.06473i
\(96\) −4.21178 0.315629i −0.429863 0.0322138i
\(97\) −7.31414 1.66940i −0.742638 0.169502i −0.165570 0.986198i \(-0.552946\pi\)
−0.577068 + 0.816696i \(0.695803\pi\)
\(98\) −2.49392 6.35442i −0.251924 0.641893i
\(99\) 4.00409 0.300065i 0.402426 0.0301577i
\(100\) −1.55405 0.234236i −0.155405 0.0234236i
\(101\) 12.0980 11.2253i 1.20380 1.11696i 0.213655 0.976909i \(-0.431463\pi\)
0.990144 0.140053i \(-0.0447272\pi\)
\(102\) −5.43191 4.78046i −0.537839 0.473336i
\(103\) 12.6216 + 8.60524i 1.24364 + 0.847899i 0.992759 0.120119i \(-0.0383276\pi\)
0.250880 + 0.968018i \(0.419280\pi\)
\(104\) 1.98610 5.06049i 0.194753 0.496222i
\(105\) −1.40814 + 4.56507i −0.137420 + 0.445505i
\(106\) −2.86690 2.66009i −0.278458 0.258371i
\(107\) 3.04367 2.42724i 0.294243 0.234651i −0.465230 0.885190i \(-0.654028\pi\)
0.759473 + 0.650539i \(0.225457\pi\)
\(108\) 2.34703 1.87169i 0.225843 0.180104i
\(109\) 5.09572 5.49188i 0.488082 0.526027i −0.440202 0.897899i \(-0.645093\pi\)
0.928284 + 0.371871i \(0.121284\pi\)
\(110\) 14.5250 + 4.48036i 1.38490 + 0.427185i
\(111\) −5.19025 + 13.2246i −0.492637 + 1.25522i
\(112\) 1.74944 2.56596i 0.165307 0.242460i
\(113\) 3.44368 + 7.15087i 0.323954 + 0.672697i 0.997809 0.0661666i \(-0.0210769\pi\)
−0.673855 + 0.738864i \(0.735363\pi\)
\(114\) −4.59513 4.95237i −0.430373 0.463832i
\(115\) 4.23815 + 0.638798i 0.395209 + 0.0595682i
\(116\) 4.65940 0.349174i 0.432614 0.0324199i
\(117\) 0.584764 + 1.48996i 0.0540615 + 0.137746i
\(118\) −2.74316 + 12.0186i −0.252529 + 1.10640i
\(119\) −4.56854 + 1.54192i −0.418797 + 0.141348i
\(120\) 11.9750 3.69380i 1.09316 0.337196i
\(121\) 7.89569 + 3.80236i 0.717790 + 0.345669i
\(122\) 4.52267 2.61116i 0.409463 0.236404i
\(123\) −3.34093 + 5.78666i −0.301242 + 0.521766i
\(124\) 1.64234 + 2.40887i 0.147486 + 0.216323i
\(125\) −5.61376 + 1.28130i −0.502110 + 0.114603i
\(126\) 0.190794 + 1.26584i 0.0169973 + 0.112770i
\(127\) 2.80419 3.51634i 0.248831 0.312024i −0.641692 0.766963i \(-0.721767\pi\)
0.890523 + 0.454938i \(0.150339\pi\)
\(128\) −4.88784 −0.432028
\(129\) 7.49009 5.83616i 0.659465 0.513845i
\(130\) 6.05918i 0.531425i
\(131\) −4.86196 3.87728i −0.424792 0.338760i 0.387646 0.921808i \(-0.373288\pi\)
−0.812437 + 0.583048i \(0.801860\pi\)
\(132\) 3.38095 0.509596i 0.294274 0.0443546i
\(133\) −4.38895 + 1.00175i −0.380570 + 0.0868626i
\(134\) 7.43383 5.06830i 0.642185 0.437834i
\(135\) −7.97255 + 13.8089i −0.686168 + 1.18848i
\(136\) 10.0928 + 7.62325i 0.865450 + 0.653688i
\(137\) −5.56483 2.67988i −0.475436 0.228958i 0.180791 0.983522i \(-0.442134\pi\)
−0.656227 + 0.754564i \(0.727849\pi\)
\(138\) −2.54776 + 0.785880i −0.216880 + 0.0668986i
\(139\) −11.5214 0.863406i −0.977229 0.0732332i −0.423470 0.905910i \(-0.639188\pi\)
−0.553759 + 0.832677i \(0.686807\pi\)
\(140\) 0.389927 1.70838i 0.0329548 0.144384i
\(141\) −13.9254 + 5.46530i −1.17273 + 0.460262i
\(142\) 7.21852 0.540953i 0.605765 0.0453958i
\(143\) −1.17419 + 7.79022i −0.0981905 + 0.651451i
\(144\) 1.75828 1.63145i 0.146523 0.135954i
\(145\) −22.3603 + 10.7682i −1.85692 + 0.894246i
\(146\) −9.11280 + 13.3660i −0.754181 + 1.10618i
\(147\) 7.59212 + 2.97969i 0.626187 + 0.245760i
\(148\) 1.53596 4.97946i 0.126255 0.409309i
\(149\) 13.4222 + 12.4540i 1.09959 + 1.02027i 0.999681 + 0.0252762i \(0.00804651\pi\)
0.0999117 + 0.994996i \(0.468144\pi\)
\(150\) −4.05994 + 3.23769i −0.331493 + 0.264357i
\(151\) 6.56960 + 8.23802i 0.534627 + 0.670401i 0.973643 0.228079i \(-0.0732443\pi\)
−0.439016 + 0.898479i \(0.644673\pi\)
\(152\) 8.65667 + 8.03221i 0.702148 + 0.651498i
\(153\) −3.70500 + 0.375871i −0.299531 + 0.0303874i
\(154\) −2.30197 + 5.86533i −0.185498 + 0.472641i
\(155\) −12.7949 8.72338i −1.02771 0.700679i
\(156\) 0.591361 + 1.22797i 0.0473468 + 0.0983166i
\(157\) −14.4083 + 13.3689i −1.14991 + 1.06696i −0.153012 + 0.988224i \(0.548897\pi\)
−0.996896 + 0.0787338i \(0.974912\pi\)
\(158\) −0.164819 + 1.09350i −0.0131123 + 0.0869943i
\(159\) 4.65960 0.349189i 0.369530 0.0276925i
\(160\) −7.65989 + 3.00629i −0.605568 + 0.237668i
\(161\) −0.395344 + 1.73212i −0.0311575 + 0.136510i
\(162\) 0.495836 6.61648i 0.0389566 0.519840i
\(163\) −1.03362 3.35090i −0.0809590 0.262463i 0.906039 0.423194i \(-0.139091\pi\)
−0.986998 + 0.160731i \(0.948615\pi\)
\(164\) 1.06341 2.20819i 0.0830381 0.172430i
\(165\) −15.7278 + 9.08047i −1.22441 + 0.706914i
\(166\) 9.54943 16.5401i 0.741179 1.28376i
\(167\) 6.85989 + 10.0616i 0.530834 + 0.778590i 0.994197 0.107578i \(-0.0343097\pi\)
−0.463363 + 0.886169i \(0.653357\pi\)
\(168\) 1.15593 + 5.06448i 0.0891822 + 0.390733i
\(169\) 9.74944 1.46949i 0.749957 0.113038i
\(170\) −13.5758 3.79958i −1.04122 0.291414i
\(171\) −3.47694 −0.265888
\(172\) −2.57970 + 2.34002i −0.196700 + 0.178425i
\(173\) 12.8514i 0.977073i −0.872543 0.488537i \(-0.837531\pi\)
0.872543 0.488537i \(-0.162469\pi\)
\(174\) 9.62582 12.0704i 0.729731 0.915054i
\(175\) 0.515734 + 3.42167i 0.0389858 + 0.258654i
\(176\) 11.5099 2.62706i 0.867591 0.198022i
\(177\) −8.29704 12.1695i −0.623644 0.914717i
\(178\) 1.02828 1.78104i 0.0770731 0.133495i
\(179\) 2.66952 + 4.62374i 0.199529 + 0.345595i 0.948376 0.317149i \(-0.102725\pi\)
−0.748847 + 0.662743i \(0.769392\pi\)
\(180\) 0.587211 1.21936i 0.0437682 0.0908855i
\(181\) −3.54442 11.4907i −0.263455 0.854099i −0.986565 0.163367i \(-0.947765\pi\)
0.723111 0.690732i \(-0.242712\pi\)
\(182\) −2.50466 0.187698i −0.185657 0.0139131i
\(183\) −1.38842 + 6.08308i −0.102635 + 0.449674i
\(184\) 4.33834 1.70267i 0.319826 0.125523i
\(185\) 2.06841 + 27.6010i 0.152072 + 2.02926i
\(186\) 9.52560 + 1.43575i 0.698451 + 0.105275i
\(187\) −16.7180 7.51589i −1.22254 0.549616i
\(188\) 4.94372 2.38077i 0.360558 0.173636i
\(189\) −5.46114 3.72334i −0.397239 0.270833i
\(190\) −12.2523 4.80869i −0.888878 0.348859i
\(191\) 5.20990 + 1.60704i 0.376975 + 0.116282i 0.477452 0.878658i \(-0.341560\pi\)
−0.100476 + 0.994939i \(0.532037\pi\)
\(192\) 8.71280 9.39017i 0.628793 0.677677i
\(193\) −10.3226 + 8.23198i −0.743035 + 0.592551i −0.920116 0.391645i \(-0.871906\pi\)
0.177081 + 0.984196i \(0.443335\pi\)
\(194\) 7.10877 5.66906i 0.510380 0.407014i
\(195\) −5.30684 4.92403i −0.380031 0.352617i
\(196\) −2.85867 0.881783i −0.204191 0.0629845i
\(197\) 22.7377 + 8.92389i 1.61999 + 0.635801i 0.990034 0.140827i \(-0.0449761\pi\)
0.629960 + 0.776628i \(0.283071\pi\)
\(198\) −2.74136 + 4.02083i −0.194820 + 0.285748i
\(199\) −0.485003 1.00712i −0.0343809 0.0713927i 0.883071 0.469239i \(-0.155472\pi\)
−0.917452 + 0.397847i \(0.869758\pi\)
\(200\) 6.65394 6.17396i 0.470505 0.436565i
\(201\) −1.60215 + 10.6296i −0.113007 + 0.749753i
\(202\) 1.49474 + 19.9459i 0.105170 + 1.40339i
\(203\) −3.75852 9.57654i −0.263796 0.672141i
\(204\) −3.12215 + 0.554934i −0.218595 + 0.0388531i
\(205\) −0.972844 + 12.9817i −0.0679464 + 0.906682i
\(206\) −17.6914 + 5.45707i −1.23262 + 0.380212i
\(207\) −0.595370 + 1.23630i −0.0413811 + 0.0859287i
\(208\) 2.35305 + 4.07561i 0.163155 + 0.282592i
\(209\) −14.8208 8.55682i −1.02518 0.591887i
\(210\) −3.26159 4.78388i −0.225071 0.330119i
\(211\) 9.34131 2.13209i 0.643082 0.146779i 0.111471 0.993768i \(-0.464444\pi\)
0.531611 + 0.846988i \(0.321587\pi\)
\(212\) −1.69479 + 0.255448i −0.116398 + 0.0175442i
\(213\) −5.39238 + 6.76184i −0.369480 + 0.463313i
\(214\) 4.71818i 0.322528i
\(215\) 8.21416 16.5760i 0.560201 1.13047i
\(216\) 17.3383i 1.17972i
\(217\) 4.00230 5.01872i 0.271694 0.340693i
\(218\) 1.35328 + 8.97841i 0.0916555 + 0.608095i
\(219\) −4.30085 18.8433i −0.290625 1.27331i
\(220\) 5.50392 3.75251i 0.371074 0.252994i
\(221\) 0.898600 7.25121i 0.0604464 0.487769i
\(222\) −8.60896 14.9112i −0.577796 1.00077i
\(223\) 14.1622 + 6.82017i 0.948373 + 0.456712i 0.843115 0.537733i \(-0.180719\pi\)
0.105258 + 0.994445i \(0.466433\pi\)
\(224\) −1.00541 3.25946i −0.0671768 0.217782i
\(225\) −0.199720 + 2.66507i −0.0133146 + 0.177672i
\(226\) −9.37805 2.14048i −0.623818 0.142382i
\(227\) −4.02775 + 1.58077i −0.267331 + 0.104920i −0.495220 0.868767i \(-0.664913\pi\)
0.227890 + 0.973687i \(0.426817\pi\)
\(228\) −2.95242 + 0.221253i −0.195528 + 0.0146528i
\(229\) 14.4951 + 2.18478i 0.957861 + 0.144374i 0.609325 0.792921i \(-0.291441\pi\)
0.348537 + 0.937295i \(0.386679\pi\)
\(230\) −3.80785 + 3.53317i −0.251082 + 0.232970i
\(231\) −3.26634 6.78263i −0.214910 0.446264i
\(232\) −15.2020 + 22.2973i −0.998061 + 1.46389i
\(233\) 24.3210 + 9.54528i 1.59332 + 0.625332i 0.985642 0.168851i \(-0.0540057\pi\)
0.607679 + 0.794183i \(0.292101\pi\)
\(234\) −1.85369 0.571788i −0.121179 0.0373789i
\(235\) −19.8237 + 21.3649i −1.29316 + 1.39369i
\(236\) 3.36841 + 4.22386i 0.219265 + 0.274950i
\(237\) −0.823785 1.03299i −0.0535106 0.0671002i
\(238\) 1.99116 5.49408i 0.129068 0.356129i
\(239\) −20.5491 6.33857i −1.32921 0.410008i −0.452819 0.891603i \(-0.649581\pi\)
−0.876394 + 0.481595i \(0.840058\pi\)
\(240\) −3.96342 + 10.0986i −0.255838 + 0.651864i
\(241\) 3.92109 5.75119i 0.252580 0.370467i −0.678918 0.734214i \(-0.737551\pi\)
0.931497 + 0.363748i \(0.118503\pi\)
\(242\) −9.56931 + 4.60834i −0.615139 + 0.296235i
\(243\) −6.14094 6.61836i −0.393942 0.424568i
\(244\) 0.341105 2.26309i 0.0218370 0.144879i
\(245\) 15.8455 1.18746i 1.01233 0.0758638i
\(246\) −2.95860 7.53840i −0.188634 0.480631i
\(247\) 1.51801 6.65086i 0.0965890 0.423184i
\(248\) −16.7916 1.25836i −1.06627 0.0799057i
\(249\) 6.72598 + 21.8051i 0.426242 + 1.38184i
\(250\) 3.02793 6.28755i 0.191503 0.397660i
\(251\) −6.29486 10.9030i −0.397328 0.688192i 0.596068 0.802934i \(-0.296729\pi\)
−0.993395 + 0.114742i \(0.963396\pi\)
\(252\) 0.485850 + 0.280505i 0.0306057 + 0.0176702i
\(253\) −5.58039 + 3.80464i −0.350836 + 0.239196i
\(254\) 1.21294 + 5.31423i 0.0761066 + 0.333445i
\(255\) 14.3603 8.80244i 0.899276 0.551230i
\(256\) −7.33764 + 9.20112i −0.458603 + 0.575070i
\(257\) 2.06506 0.128815 0.0644073 0.997924i \(-0.479484\pi\)
0.0644073 + 0.997924i \(0.479484\pi\)
\(258\) −0.129805 + 11.5073i −0.00808133 + 0.716416i
\(259\) −11.4734 −0.712920
\(260\) 2.07607 + 1.65561i 0.128753 + 0.102677i
\(261\) −1.18423 7.85686i −0.0733021 0.486327i
\(262\) 7.34787 1.67710i 0.453953 0.103612i
\(263\) 15.6440 10.6659i 0.964651 0.657688i 0.0249512 0.999689i \(-0.492057\pi\)
0.939700 + 0.342001i \(0.111105\pi\)
\(264\) −9.87385 + 17.1020i −0.607694 + 1.05256i
\(265\) 7.88398 4.55182i 0.484309 0.279616i
\(266\) 2.36729 4.91573i 0.145148 0.301403i
\(267\) 0.724255 + 2.34798i 0.0443237 + 0.143694i
\(268\) 0.294658 3.93193i 0.0179991 0.240181i
\(269\) 26.2714 + 5.99628i 1.60180 + 0.365600i 0.927783 0.373120i \(-0.121712\pi\)
0.674013 + 0.738719i \(0.264569\pi\)
\(270\) −7.06019 17.9891i −0.429670 1.09478i
\(271\) 1.94150 + 25.9075i 0.117938 + 1.57377i 0.671529 + 0.740979i \(0.265638\pi\)
−0.553591 + 0.832789i \(0.686743\pi\)
\(272\) −10.6071 + 2.71639i −0.643150 + 0.164705i
\(273\) 2.19981 2.04113i 0.133139 0.123535i
\(274\) 6.74439 3.24793i 0.407444 0.196215i
\(275\) −7.41013 + 10.8687i −0.446848 + 0.655405i
\(276\) −0.426883 + 1.08768i −0.0256953 + 0.0654706i
\(277\) −8.97825 + 29.1068i −0.539451 + 1.74886i 0.115625 + 0.993293i \(0.463113\pi\)
−0.655076 + 0.755563i \(0.727363\pi\)
\(278\) 9.52423 10.2647i 0.571225 0.615634i
\(279\) 3.87616 3.09114i 0.232060 0.185062i
\(280\) 6.31018 + 7.91271i 0.377105 + 0.472875i
\(281\) 18.3159 + 16.9947i 1.09263 + 1.01382i 0.999836 + 0.0181311i \(0.00577162\pi\)
0.0927982 + 0.995685i \(0.470419\pi\)
\(282\) 5.34402 17.3249i 0.318232 1.03168i
\(283\) 7.53303 + 2.95650i 0.447792 + 0.175745i 0.578512 0.815674i \(-0.303634\pi\)
−0.130720 + 0.991419i \(0.541729\pi\)
\(284\) 1.78704 2.62111i 0.106041 0.155534i
\(285\) 14.1685 6.82321i 0.839272 0.404172i
\(286\) −6.49438 6.99928i −0.384021 0.413876i
\(287\) −5.33605 0.804280i −0.314977 0.0474752i
\(288\) −0.196873 2.62709i −0.0116009 0.154803i
\(289\) 15.6831 + 6.56042i 0.922538 + 0.385907i
\(290\) 6.69313 29.3245i 0.393034 1.72200i
\(291\) −0.811828 + 10.8331i −0.0475902 + 0.635047i
\(292\) 2.08965 + 6.77448i 0.122287 + 0.396446i
\(293\) −5.04960 2.43176i −0.295001 0.142065i 0.280529 0.959845i \(-0.409490\pi\)
−0.575530 + 0.817781i \(0.695204\pi\)
\(294\) −8.56039 + 4.94234i −0.499252 + 0.288243i
\(295\) −24.8513 14.3479i −1.44690 0.835366i
\(296\) 16.9541 + 24.8670i 0.985435 + 1.44537i
\(297\) −5.59117 24.4965i −0.324433 1.42143i
\(298\) −21.9433 + 3.30743i −1.27114 + 0.191594i
\(299\) −2.10492 1.67861i −0.121730 0.0970768i
\(300\) 2.27574i 0.131390i
\(301\) 6.59747 + 3.90893i 0.380272 + 0.225307i
\(302\) −12.7703 −0.734847
\(303\) −18.6840 14.9000i −1.07337 0.855984i
\(304\) −10.1088 + 1.52365i −0.579777 + 0.0873873i
\(305\) 2.70503 + 11.8515i 0.154890 + 0.678615i
\(306\) 2.44352 3.79471i 0.139687 0.216929i
\(307\) 11.5827 20.0619i 0.661062 1.14499i −0.319275 0.947662i \(-0.603439\pi\)
0.980337 0.197331i \(-0.0632274\pi\)
\(308\) 1.38066 + 2.39137i 0.0786704 + 0.136261i
\(309\) 9.59751 19.9294i 0.545983 1.13375i
\(310\) 17.9343 5.53200i 1.01860 0.314196i
\(311\) −12.0086 0.899921i −0.680946 0.0510298i −0.270234 0.962795i \(-0.587101\pi\)
−0.410712 + 0.911765i \(0.634720\pi\)
\(312\) −7.67453 1.75166i −0.434485 0.0991683i
\(313\) −11.7846 + 4.62512i −0.666105 + 0.261427i −0.674209 0.738540i \(-0.735516\pi\)
0.00810437 + 0.999967i \(0.497420\pi\)
\(314\) −1.78018 23.7549i −0.100461 1.34056i
\(315\) −2.94656 0.444122i −0.166020 0.0250235i
\(316\) 0.329634 + 0.355261i 0.0185434 + 0.0199850i
\(317\) −3.32339 6.90110i −0.186660 0.387604i 0.786548 0.617529i \(-0.211866\pi\)
−0.973208 + 0.229925i \(0.926152\pi\)
\(318\) −3.19015 + 4.67909i −0.178895 + 0.262390i
\(319\) 14.2880 36.4052i 0.799973 2.03830i
\(320\) 7.35615 23.8480i 0.411221 1.33315i
\(321\) −4.13235 3.83426i −0.230645 0.214007i
\(322\) −1.34253 1.68348i −0.0748164 0.0938167i
\(323\) 13.9496 + 7.57178i 0.776177 + 0.421305i
\(324\) −2.13154 1.97778i −0.118419 0.109877i
\(325\) −5.01069 1.54559i −0.277943 0.0857340i
\(326\) 3.95621 + 1.55270i 0.219114 + 0.0859959i
\(327\) −8.96334 6.11110i −0.495674 0.337945i
\(328\) 6.14185 + 12.7537i 0.339127 + 0.704205i
\(329\) −8.21742 8.85627i −0.453041 0.488262i
\(330\) 3.28049 21.7646i 0.180585 1.19810i
\(331\) −1.40072 18.6913i −0.0769906 1.02737i −0.893214 0.449632i \(-0.851555\pi\)
0.816223 0.577737i \(-0.196064\pi\)
\(332\) −3.05788 7.79136i −0.167823 0.427607i
\(333\) −8.63917 1.97183i −0.473424 0.108056i
\(334\) −14.7176 1.10293i −0.805310 0.0603496i
\(335\) 6.17313 + 20.0128i 0.337274 + 1.09342i
\(336\) −4.05165 1.95117i −0.221036 0.106445i
\(337\) 3.71015 2.14206i 0.202105 0.116685i −0.395532 0.918452i \(-0.629440\pi\)
0.597637 + 0.801767i \(0.296106\pi\)
\(338\) −5.97473 + 10.3485i −0.324982 + 0.562886i
\(339\) 9.49582 6.47414i 0.515742 0.351627i
\(340\) −5.01133 + 3.61333i −0.271777 + 0.195960i
\(341\) 24.1299 3.63700i 1.30671 0.196955i
\(342\) 2.62734 3.29459i 0.142071 0.178151i
\(343\) 14.7728i 0.797659i
\(344\) −1.27691 20.0754i −0.0688462 1.08239i
\(345\) 6.20629i 0.334135i
\(346\) 12.1774 + 9.71114i 0.654660 + 0.522074i
\(347\) −2.56636 17.0267i −0.137769 0.914039i −0.945765 0.324851i \(-0.894686\pi\)
0.807996 0.589188i \(-0.200552\pi\)
\(348\) −1.50555 6.59623i −0.0807058 0.353595i
\(349\) 25.3052 17.2528i 1.35456 0.923523i 0.354625 0.935009i \(-0.384609\pi\)
0.999934 + 0.0114861i \(0.00365623\pi\)
\(350\) −3.63193 2.09690i −0.194135 0.112084i
\(351\) 8.67412 5.00800i 0.462990 0.267308i
\(352\) 5.62613 11.6828i 0.299874 0.622694i
\(353\) 8.54771 2.63662i 0.454949 0.140333i −0.0588073 0.998269i \(-0.518730\pi\)
0.513756 + 0.857936i \(0.328254\pi\)
\(354\) 17.8009 + 1.33399i 0.946108 + 0.0709010i
\(355\) −3.74949 + 16.4276i −0.199002 + 0.871886i
\(356\) −0.329273 0.838975i −0.0174515 0.0444656i
\(357\) 3.19378 + 6.20872i 0.169033 + 0.328600i
\(358\) −6.39846 0.964413i −0.338169 0.0509708i
\(359\) −12.2180 + 11.3367i −0.644843 + 0.598327i −0.933270 0.359175i \(-0.883058\pi\)
0.288427 + 0.957502i \(0.406868\pi\)
\(360\) 3.39152 + 7.04257i 0.178749 + 0.371176i
\(361\) −3.45449 2.35523i −0.181815 0.123960i
\(362\) 13.5664 + 5.32443i 0.713035 + 0.279846i
\(363\) 3.74041 12.1261i 0.196321 0.636456i
\(364\) −0.748684 + 0.806890i −0.0392417 + 0.0422925i
\(365\) −23.4781 29.4406i −1.22890 1.54099i
\(366\) −4.71488 5.91228i −0.246451 0.309040i
\(367\) 24.7568 26.6815i 1.29230 1.39276i 0.417200 0.908815i \(-0.363011\pi\)
0.875096 0.483949i \(-0.160798\pi\)
\(368\) −1.18920 + 3.85528i −0.0619912 + 0.200971i
\(369\) −3.87970 1.52267i −0.201969 0.0792670i
\(370\) −27.7164 18.8967i −1.44091 0.982393i
\(371\) 1.63734 + 3.39997i 0.0850064 + 0.176518i
\(372\) 3.09471 2.87147i 0.160453 0.148879i
\(373\) 23.0465 + 3.47371i 1.19330 + 0.179862i 0.715505 0.698607i \(-0.246196\pi\)
0.477799 + 0.878469i \(0.341435\pi\)
\(374\) 19.7547 10.1618i 1.02149 0.525456i
\(375\) 3.04619 + 7.76157i 0.157305 + 0.400806i
\(376\) −7.05205 + 30.8970i −0.363682 + 1.59339i
\(377\) 15.5460 + 1.16501i 0.800660 + 0.0600012i
\(378\) 7.65477 2.36118i 0.393719 0.121446i
\(379\) −0.000144675 0 0.000300420i −7.43143e−6 0 1.54315e-5i −0.900973 0.433876i \(-0.857146\pi\)
0.900965 + 0.433891i \(0.142860\pi\)
\(380\) −4.99545 + 2.88412i −0.256261 + 0.147952i
\(381\) −5.64009 3.25631i −0.288950 0.166826i
\(382\) −5.45962 + 3.72231i −0.279338 + 0.190450i
\(383\) −7.15362 31.3421i −0.365533 1.60151i −0.738896 0.673820i \(-0.764652\pi\)
0.373363 0.927686i \(-0.378205\pi\)
\(384\) 1.05488 + 6.99869i 0.0538318 + 0.357151i
\(385\) −11.4671 9.14467i −0.584415 0.466055i
\(386\) 16.0017i 0.814464i
\(387\) 4.29595 + 4.07719i 0.218375 + 0.207255i
\(388\) 3.98471i 0.202293i
\(389\) −13.9938 + 17.5477i −0.709515 + 0.889704i −0.997694 0.0678725i \(-0.978379\pi\)
0.288179 + 0.957577i \(0.406950\pi\)
\(390\) 8.67589 1.30768i 0.439321 0.0662169i
\(391\) 5.08095 3.66353i 0.256955 0.185273i
\(392\) 14.2760 9.73320i 0.721046 0.491601i
\(393\) −4.50242 + 7.79842i −0.227117 + 0.393378i
\(394\) −25.6376 + 14.8019i −1.29160 + 0.745707i
\(395\) −2.31923 1.11688i −0.116693 0.0561965i
\(396\) 0.628619 + 2.03793i 0.0315893 + 0.102410i
\(397\) 8.83547 + 0.662127i 0.443439 + 0.0332312i 0.294579 0.955627i \(-0.404821\pi\)
0.148860 + 0.988858i \(0.452440\pi\)
\(398\) 1.32079 + 0.301462i 0.0662053 + 0.0151109i
\(399\) 2.38157 + 6.06815i 0.119228 + 0.303788i
\(400\) 0.587218 + 7.83589i 0.0293609 + 0.391794i
\(401\) −4.32698 + 28.7076i −0.216079 + 1.43359i 0.573129 + 0.819465i \(0.305729\pi\)
−0.789208 + 0.614126i \(0.789509\pi\)
\(402\) −8.86144 9.55036i −0.441968 0.476329i
\(403\) 4.22056 + 8.76409i 0.210241 + 0.436570i
\(404\) 7.24255 + 4.93789i 0.360330 + 0.245669i
\(405\) 14.3771 + 5.64259i 0.714403 + 0.280383i
\(406\) 11.9144 + 3.67511i 0.591302 + 0.182393i
\(407\) −31.9727 29.6663i −1.58483 1.47051i
\(408\) 8.73720 16.0967i 0.432556 0.796904i
\(409\) −5.26164 6.59789i −0.260171 0.326245i 0.634539 0.772890i \(-0.281190\pi\)
−0.894711 + 0.446646i \(0.852618\pi\)
\(410\) −11.5657 10.7314i −0.571191 0.529988i
\(411\) −2.63622 + 8.54641i −0.130035 + 0.421564i
\(412\) −2.96423 + 7.55274i −0.146037 + 0.372097i
\(413\) 6.70075 9.82819i 0.329722 0.483614i
\(414\) −0.721569 1.49835i −0.0354632 0.0736400i
\(415\) 30.2387 + 32.5896i 1.48436 + 1.59976i
\(416\) 5.11118 + 0.770387i 0.250596 + 0.0377713i
\(417\) 1.25024 + 16.6833i 0.0612245 + 0.816984i
\(418\) 19.3074 7.57760i 0.944356 0.370632i
\(419\) −24.3066 5.54783i −1.18746 0.271029i −0.417231 0.908800i \(-0.637000\pi\)
−0.770226 + 0.637771i \(0.779857\pi\)
\(420\) −2.53031 0.189621i −0.123466 0.00925254i
\(421\) 11.3709 3.50746i 0.554185 0.170943i −0.00499847 0.999988i \(-0.501591\pi\)
0.559183 + 0.829044i \(0.311115\pi\)
\(422\) −5.03848 + 10.4625i −0.245269 + 0.509307i
\(423\) −4.66547 8.08083i −0.226843 0.392903i
\(424\) 4.94952 8.57282i 0.240370 0.416333i
\(425\) 6.60505 10.2574i 0.320392 0.497559i
\(426\) −2.33245 10.2191i −0.113008 0.495119i
\(427\) −4.98280 + 0.751036i −0.241134 + 0.0363452i
\(428\) 1.61660 + 1.28920i 0.0781415 + 0.0623157i
\(429\) 11.4079 0.550779
\(430\) 9.49959 + 20.3090i 0.458111 + 0.979386i
\(431\) 18.5273i 0.892427i 0.894926 + 0.446214i \(0.147228\pi\)
−0.894926 + 0.446214i \(0.852772\pi\)
\(432\) −11.7349 9.35826i −0.564595 0.450249i
\(433\) 15.1500 2.28349i 0.728062 0.109738i 0.225456 0.974253i \(-0.427613\pi\)
0.502606 + 0.864516i \(0.332375\pi\)
\(434\) 1.73118 + 7.58478i 0.0830991 + 0.364081i
\(435\) 20.2442 + 29.6928i 0.970635 + 1.42366i
\(436\) 3.44606 + 1.98959i 0.165037 + 0.0952839i
\(437\) 5.06485 2.92419i 0.242285 0.139883i
\(438\) 21.1050 + 10.1636i 1.00843 + 0.485636i
\(439\) −2.77775 9.00523i −0.132575 0.429796i 0.864808 0.502103i \(-0.167440\pi\)
−0.997382 + 0.0723068i \(0.976964\pi\)
\(440\) −2.87516 + 38.3664i −0.137068 + 1.82904i
\(441\) −1.13202 + 4.95968i −0.0539055 + 0.236175i
\(442\) 6.19188 + 6.33084i 0.294518 + 0.301127i
\(443\) −0.166300 2.21913i −0.00790117 0.105434i 0.991859 0.127343i \(-0.0406447\pi\)
−0.999760 + 0.0219087i \(0.993026\pi\)
\(444\) −7.46136 1.12462i −0.354101 0.0533721i
\(445\) 3.25611 + 3.50925i 0.154355 + 0.166355i
\(446\) −17.1642 + 8.26582i −0.812746 + 0.391398i
\(447\) 14.9356 21.9065i 0.706430 1.03614i
\(448\) 9.63008 + 3.77953i 0.454978 + 0.178566i
\(449\) −3.47026 + 11.2503i −0.163772 + 0.530935i −0.999844 0.0176848i \(-0.994370\pi\)
0.836072 + 0.548620i \(0.184847\pi\)
\(450\) −2.37438 2.20310i −0.111929 0.103855i
\(451\) −12.7903 16.0386i −0.602273 0.755227i
\(452\) −3.29586 + 2.62836i −0.155024 + 0.123628i
\(453\) 10.3778 11.1846i 0.487593 0.525500i
\(454\) 1.54569 5.01102i 0.0725430 0.235179i
\(455\) 2.13599 5.44242i 0.100137 0.255145i
\(456\) 9.63272 14.1286i 0.451094 0.661633i
\(457\) −31.4385 + 15.1400i −1.47063 + 0.708218i −0.986038 0.166522i \(-0.946746\pi\)
−0.484593 + 0.874740i \(0.661032\pi\)
\(458\) −13.0234 + 12.0839i −0.608543 + 0.564645i
\(459\) 5.78130 + 22.5751i 0.269848 + 1.05372i
\(460\) 0.170120 + 2.27010i 0.00793189 + 0.105844i
\(461\) 3.94404 + 10.0493i 0.183692 + 0.468041i 0.992824 0.119587i \(-0.0381571\pi\)
−0.809131 + 0.587628i \(0.800062\pi\)
\(462\) 8.89512 + 2.03025i 0.413838 + 0.0944559i
\(463\) 2.71823 36.2723i 0.126327 1.68572i −0.469759 0.882795i \(-0.655659\pi\)
0.596086 0.802921i \(-0.296722\pi\)
\(464\) −6.88601 22.3239i −0.319675 1.03636i
\(465\) −9.72928 + 20.2031i −0.451185 + 0.936895i
\(466\) −27.4228 + 15.8326i −1.27034 + 0.733429i
\(467\) −1.20456 + 2.08636i −0.0557405 + 0.0965454i −0.892549 0.450950i \(-0.851085\pi\)
0.836809 + 0.547495i \(0.184419\pi\)
\(468\) −0.702416 + 0.478899i −0.0324692 + 0.0221371i
\(469\) −8.46383 + 1.93181i −0.390823 + 0.0892029i
\(470\) −5.26461 34.9284i −0.242838 1.61113i
\(471\) 22.2520 + 17.7454i 1.02532 + 0.817664i
\(472\) −31.2030 −1.43623
\(473\) 8.27791 + 27.9519i 0.380619 + 1.28523i
\(474\) 1.60131 0.0735506
\(475\) 7.10194 8.90555i 0.325859 0.408615i
\(476\) −1.33839 2.18344i −0.0613449 0.100078i
\(477\) 0.648552 + 2.84149i 0.0296952 + 0.130103i
\(478\) 21.5341 14.6817i 0.984945 0.671524i
\(479\) −0.551318 0.318303i −0.0251903 0.0145436i 0.487352 0.873206i \(-0.337963\pi\)
−0.512542 + 0.858662i \(0.671296\pi\)
\(480\) 5.95771 + 10.3191i 0.271931 + 0.470999i
\(481\) 7.54364 15.6645i 0.343960 0.714241i
\(482\) 2.48659 + 8.06133i 0.113261 + 0.367183i
\(483\) 2.56547 + 0.192255i 0.116733 + 0.00874791i
\(484\) −1.03576 + 4.53794i −0.0470798 + 0.206270i
\(485\) 7.73245 + 19.7020i 0.351112 + 0.894620i
\(486\) 10.9117 0.817715i 0.494963 0.0370923i
\(487\) 4.83020 32.0463i 0.218877 1.45216i −0.561826 0.827255i \(-0.689901\pi\)
0.780704 0.624902i \(-0.214861\pi\)
\(488\) 8.99080 + 9.68978i 0.406995 + 0.438636i
\(489\) −4.57494 + 2.20317i −0.206886 + 0.0996309i
\(490\) −10.8485 + 15.9118i −0.490083 + 0.718820i
\(491\) −2.99748 + 7.63745i −0.135274 + 0.344673i −0.982419 0.186689i \(-0.940224\pi\)
0.847145 + 0.531362i \(0.178320\pi\)
\(492\) −3.39131 1.04608i −0.152892 0.0471610i
\(493\) −12.3588 + 34.1009i −0.556613 + 1.53583i
\(494\) 5.15496 + 6.46411i 0.231933 + 0.290834i
\(495\) −7.06280 8.85647i −0.317449 0.398069i
\(496\) 9.91487 10.6857i 0.445191 0.479802i
\(497\) −6.67445 2.05880i −0.299390 0.0923496i
\(498\) −25.7440 10.1038i −1.15362 0.452761i
\(499\) 8.22785 12.0680i 0.368329 0.540240i −0.596672 0.802485i \(-0.703511\pi\)
0.965001 + 0.262245i \(0.0844630\pi\)
\(500\) −1.32697 2.75548i −0.0593438 0.123229i
\(501\) 12.9263 11.9939i 0.577504 0.535846i
\(502\) 15.0879 + 2.27413i 0.673405 + 0.101500i
\(503\) −31.4771 + 2.35888i −1.40349 + 0.105177i −0.754841 0.655908i \(-0.772286\pi\)
−0.648652 + 0.761085i \(0.724667\pi\)
\(504\) −3.01622 + 1.18378i −0.134353 + 0.0527296i
\(505\) −45.3921 10.3605i −2.01992 0.461034i
\(506\) 0.611709 8.16269i 0.0271938 0.362876i
\(507\) −4.20820 13.6427i −0.186893 0.605892i
\(508\) 2.15225 + 1.03647i 0.0954908 + 0.0459859i
\(509\) 2.43909 + 4.22463i 0.108111 + 0.187253i 0.915005 0.403443i \(-0.132187\pi\)
−0.806894 + 0.590696i \(0.798853\pi\)
\(510\) −2.51054 + 20.2587i −0.111169 + 0.897070i
\(511\) 12.8970 8.79305i 0.570531 0.388981i
\(512\) −5.34916 23.4362i −0.236402 1.03574i
\(513\) 3.24279 + 21.5145i 0.143173 + 0.949888i
\(514\) −1.56046 + 1.95675i −0.0688288 + 0.0863086i
\(515\) 43.0959i 1.89903i
\(516\) 3.90732 + 3.18875i 0.172010 + 0.140377i
\(517\) 45.9273i 2.01988i
\(518\) 8.66983 10.8716i 0.380930 0.477672i
\(519\) −18.4014 + 2.77356i −0.807730 + 0.121746i
\(520\) −14.9521 + 3.41272i −0.655693 + 0.149658i
\(521\) −19.7580 28.9796i −0.865613 1.26962i −0.961660 0.274244i \(-0.911572\pi\)
0.0960472 0.995377i \(-0.469380\pi\)
\(522\) 8.33966 + 4.81490i 0.365017 + 0.210743i
\(523\) 19.4322 + 33.6576i 0.849712 + 1.47174i 0.881465 + 0.472249i \(0.156558\pi\)
−0.0317529 + 0.999496i \(0.510109\pi\)
\(524\) 1.43310 2.97587i 0.0626054 0.130002i
\(525\) 4.78804 1.47691i 0.208967 0.0644578i
\(526\) −1.71486 + 22.8832i −0.0747715 + 0.997756i
\(527\) −22.2829 + 3.96058i −0.970660 + 0.172526i
\(528\) −6.24561 15.9136i −0.271805 0.692549i
\(529\) 1.54631 + 20.6341i 0.0672308 + 0.897133i
\(530\) −1.64443 + 10.9101i −0.0714294 + 0.473903i
\(531\) 6.73460 6.24880i 0.292257 0.271175i
\(532\) −1.03745 2.15429i −0.0449792 0.0934002i
\(533\) 4.60649 6.75648i 0.199529 0.292656i
\(534\) −2.77212 1.08798i −0.119961 0.0470813i
\(535\) −10.4948 3.23723i −0.453732 0.139958i
\(536\) 16.6939 + 15.4897i 0.721066 + 0.669051i
\(537\) 6.04441 4.82025i 0.260835 0.208009i
\(538\) −25.5338 + 20.3625i −1.10084 + 0.877890i
\(539\) −17.0312 + 18.3553i −0.733587 + 0.790619i
\(540\) −8.09277 2.49629i −0.348257 0.107423i
\(541\) −11.5412 4.52960i −0.496197 0.194743i 0.104028 0.994574i \(-0.466827\pi\)
−0.600225 + 0.799831i \(0.704922\pi\)
\(542\) −26.0158 17.7373i −1.11748 0.761882i
\(543\) −15.6881 + 7.55501i −0.673243 + 0.324217i
\(544\) −4.93119 + 10.9687i −0.211423 + 0.470280i
\(545\) −20.8995 3.15010i −0.895238 0.134935i
\(546\) 0.271793 + 3.62682i 0.0116316 + 0.155214i
\(547\) 6.31468 2.47833i 0.269996 0.105966i −0.226481 0.974016i \(-0.572722\pi\)
0.496477 + 0.868050i \(0.334627\pi\)
\(548\) 0.729994 3.19831i 0.0311838 0.136625i
\(549\) −3.88100 0.290841i −0.165637 0.0124128i
\(550\) −4.69919 15.2344i −0.200374 0.649597i
\(551\) −14.6934 + 30.5112i −0.625961 + 1.29982i
\(552\) −3.37427 5.84441i −0.143619 0.248755i
\(553\) 0.533525 0.924092i 0.0226878 0.0392964i
\(554\) −20.7958 30.5019i −0.883530 1.29590i
\(555\) 39.0742 8.91844i 1.65861 0.378567i
\(556\) −0.914608 6.06803i −0.0387880 0.257342i
\(557\) 17.5938 22.0620i 0.745474 0.934795i −0.254000 0.967204i \(-0.581746\pi\)
0.999475 + 0.0324087i \(0.0103178\pi\)
\(558\) 6.00869i 0.254368i
\(559\) −9.67464 + 6.43742i −0.409194 + 0.272274i
\(560\) −8.76137 −0.370236
\(561\) −7.15364 + 25.5599i −0.302027 + 1.07914i
\(562\) −29.9437 + 4.51329i −1.26310 + 0.190382i
\(563\) −1.69931 7.44518i −0.0716175 0.313777i 0.926413 0.376509i \(-0.122876\pi\)
−0.998030 + 0.0627324i \(0.980019\pi\)
\(564\) −4.47587 6.56489i −0.188468 0.276432i
\(565\) 11.1956 19.3913i 0.471002 0.815800i
\(566\) −8.49377 + 4.90388i −0.357020 + 0.206125i
\(567\) −2.77782 + 5.76820i −0.116657 + 0.242241i
\(568\) 5.40059 + 17.5083i 0.226604 + 0.734632i
\(569\) −0.324362 + 4.32831i −0.0135980 + 0.181452i 0.986269 + 0.165146i \(0.0528096\pi\)
−0.999867 + 0.0163060i \(0.994809\pi\)
\(570\) −4.24109 + 18.5814i −0.177640 + 0.778290i
\(571\) −14.3776 + 5.64278i −0.601683 + 0.236143i −0.646577 0.762849i \(-0.723800\pi\)
0.0448943 + 0.998992i \(0.485705\pi\)
\(572\) −4.17271 + 0.312701i −0.174470 + 0.0130747i
\(573\) 1.17667 7.80667i 0.0491559 0.326128i
\(574\) 4.79428 4.44844i 0.200109 0.185674i
\(575\) −1.95046 4.05018i −0.0813399 0.168904i
\(576\) 6.60167 + 4.50094i 0.275070 + 0.187539i
\(577\) −7.71430 + 19.6557i −0.321151 + 0.818278i 0.675565 + 0.737300i \(0.263900\pi\)
−0.996716 + 0.0809782i \(0.974196\pi\)
\(578\) −18.0673 + 9.90324i −0.751501 + 0.411921i
\(579\) 14.0148 + 13.0038i 0.582436 + 0.540422i
\(580\) −8.21870 10.3059i −0.341263 0.427930i
\(581\) −14.4081 + 11.4901i −0.597750 + 0.476690i
\(582\) −9.65148 8.95526i −0.400067 0.371208i
\(583\) −4.22845 + 13.7083i −0.175124 + 0.567739i
\(584\) −38.1156 14.9593i −1.57724 0.619019i
\(585\) 2.54370 3.73092i 0.105169 0.154255i
\(586\) 6.11995 2.94721i 0.252813 0.121748i
\(587\) −5.54989 + 5.14954i −0.229068 + 0.212544i −0.786353 0.617777i \(-0.788034\pi\)
0.557285 + 0.830321i \(0.311843\pi\)
\(588\) −0.645636 + 4.28351i −0.0266256 + 0.176649i
\(589\) −21.0715 + 1.57909i −0.868236 + 0.0650653i
\(590\) 32.3742 12.7060i 1.33283 0.523096i
\(591\) 7.87054 34.4831i 0.323751 1.41844i
\(592\) −25.9814 1.94704i −1.06783 0.0800227i
\(593\) 36.4339 11.2384i 1.49616 0.461505i 0.564686 0.825306i \(-0.308997\pi\)
0.931477 + 0.363801i \(0.118521\pi\)
\(594\) 27.4367 + 13.2128i 1.12574 + 0.542129i
\(595\) 10.8545 + 8.19860i 0.444993 + 0.336110i
\(596\) −4.86257 + 8.42222i −0.199179 + 0.344988i
\(597\) −1.33738 + 0.911809i −0.0547352 + 0.0373179i
\(598\) 3.18116 0.726078i 0.130087 0.0296915i
\(599\) 1.38630 0.208952i 0.0566428 0.00853753i −0.120660 0.992694i \(-0.538501\pi\)
0.177303 + 0.984156i \(0.443263\pi\)
\(600\) −10.2763 8.19505i −0.419527 0.334561i
\(601\) 27.5644i 1.12437i 0.827010 + 0.562187i \(0.190040\pi\)
−0.827010 + 0.562187i \(0.809960\pi\)
\(602\) −8.68930 + 3.29768i −0.354149 + 0.134403i
\(603\) −6.70507 −0.273052
\(604\) −3.48935 + 4.37551i −0.141980 + 0.178037i
\(605\) −3.68483 24.4473i −0.149810 0.993923i
\(606\) 28.2371 6.44495i 1.14706 0.261808i
\(607\) 17.1402 + 25.1400i 0.695698 + 1.02040i 0.997746 + 0.0671083i \(0.0213773\pi\)
−0.302048 + 0.953293i \(0.597670\pi\)
\(608\) −5.61414 + 9.72398i −0.227684 + 0.394360i
\(609\) −12.9011 + 7.44845i −0.522778 + 0.301826i
\(610\) −13.2740 6.39242i −0.537448 0.258821i
\(611\) 17.4943 5.39629i 0.707745 0.218310i
\(612\) −0.632524 1.87410i −0.0255683 0.0757559i
\(613\) 4.34894 19.0539i 0.175652 0.769581i −0.807953 0.589246i \(-0.799425\pi\)
0.983605 0.180335i \(-0.0577181\pi\)
\(614\) 10.2572 + 26.1350i 0.413949 + 1.05472i
\(615\) 18.7979 1.40871i 0.758005 0.0568046i
\(616\) −15.7703 2.37698i −0.635402 0.0957714i
\(617\) 6.72644 + 7.24938i 0.270796 + 0.291849i 0.853779 0.520636i \(-0.174305\pi\)
−0.582983 + 0.812484i \(0.698115\pi\)
\(618\) 11.6319 + 24.1538i 0.467902 + 0.971609i
\(619\) −3.89684 + 5.71561i −0.156627 + 0.229730i −0.896529 0.442985i \(-0.853920\pi\)
0.739902 + 0.672715i \(0.234872\pi\)
\(620\) 3.00493 7.65643i 0.120681 0.307490i
\(621\) 8.20520 + 2.53097i 0.329264 + 0.101564i
\(622\) 9.92702 10.6988i 0.398037 0.428982i
\(623\) −1.55147 + 1.23726i −0.0621583 + 0.0495696i
\(624\) 5.32786 4.24882i 0.213285 0.170089i
\(625\) 22.7535 + 21.1121i 0.910139 + 0.844485i
\(626\) 4.52248 14.6615i 0.180755 0.585992i
\(627\) −9.05354 + 23.0680i −0.361564 + 0.921249i
\(628\) −8.62561 5.88084i −0.344199 0.234671i
\(629\) 30.3666 + 26.7247i 1.21080 + 1.06558i
\(630\) 2.64739 2.45642i 0.105475 0.0978662i
\(631\) 2.16158 + 0.325805i 0.0860510 + 0.0129701i 0.191927 0.981409i \(-0.438526\pi\)
−0.105876 + 0.994379i \(0.533765\pi\)
\(632\) −2.79124 + 0.209174i −0.111030 + 0.00832051i
\(633\) −5.06887 12.9153i −0.201470 0.513336i
\(634\) 9.05048 + 2.06571i 0.359441 + 0.0820400i
\(635\) −12.6529 0.948202i −0.502114 0.0376282i
\(636\) 0.731530 + 2.37156i 0.0290071 + 0.0940386i
\(637\) −8.99289 4.33075i −0.356311 0.171590i
\(638\) 23.6992 + 41.0482i 0.938259 + 1.62511i
\(639\) −4.67188 2.69731i −0.184817 0.106704i
\(640\) 7.76784 + 11.3933i 0.307051 + 0.450361i
\(641\) −29.9973 + 6.84668i −1.18482 + 0.270428i −0.769139 0.639082i \(-0.779314\pi\)
−0.415683 + 0.909510i \(0.636457\pi\)
\(642\) 6.75577 1.01827i 0.266629 0.0401878i
\(643\) −38.2819 30.5288i −1.50969 1.20394i −0.917241 0.398332i \(-0.869589\pi\)
−0.592450 0.805607i \(-0.701839\pi\)
\(644\) −0.943649 −0.0371850
\(645\) −25.5072 8.18413i −1.00434 0.322250i
\(646\) −17.7157 + 7.49640i −0.697014 + 0.294942i
\(647\) −23.0706 + 28.9297i −0.907001 + 1.13734i 0.0830380 + 0.996546i \(0.473538\pi\)
−0.990039 + 0.140796i \(0.955034\pi\)
\(648\) 16.6066 2.50304i 0.652368 0.0983287i
\(649\) 44.0854 10.0622i 1.73050 0.394976i
\(650\) 5.25085 3.57997i 0.205955 0.140418i
\(651\) −8.04986 4.64759i −0.315499 0.182153i
\(652\) 1.61300 0.931265i 0.0631699 0.0364712i
\(653\) −11.9664 + 24.8484i −0.468280 + 0.972393i 0.524383 + 0.851482i \(0.324296\pi\)
−0.992663 + 0.120911i \(0.961418\pi\)
\(654\) 12.5637 3.87540i 0.491281 0.151540i
\(655\) −1.31106 + 17.4949i −0.0512273 + 0.683580i
\(656\) −11.9470 2.72682i −0.466452 0.106465i
\(657\) 11.2224 4.40445i 0.437826 0.171834i
\(658\) 14.6013 1.09421i 0.569217 0.0426569i
\(659\) −22.2292 3.35051i −0.865926 0.130517i −0.298967 0.954263i \(-0.596642\pi\)
−0.566959 + 0.823746i \(0.691880\pi\)
\(660\) −6.56090 7.07097i −0.255383 0.275237i
\(661\) 10.1940 4.90920i 0.396503 0.190946i −0.224998 0.974359i \(-0.572238\pi\)
0.621501 + 0.783414i \(0.286523\pi\)
\(662\) 18.7695 + 12.7968i 0.729497 + 0.497363i
\(663\) −10.5766 + 0.278272i −0.410762 + 0.0108072i
\(664\) 46.1941 + 14.2490i 1.79268 + 0.552968i
\(665\) 9.31002 + 8.63843i 0.361027 + 0.334984i
\(666\) 8.39660 6.69606i 0.325362 0.259467i
\(667\) 8.33289 + 10.4491i 0.322651 + 0.404591i
\(668\) −4.39933 + 4.74135i −0.170215 + 0.183448i
\(669\) 6.70905 21.7502i 0.259387 0.840912i
\(670\) −23.6279 9.27328i −0.912827 0.358258i
\(671\) −15.8275 10.7910i −0.611012 0.416581i
\(672\) −4.45010 + 2.14305i −0.171666 + 0.0826701i
\(673\) 17.7178 + 19.0953i 0.682972 + 0.736069i 0.975454 0.220202i \(-0.0706716\pi\)
−0.292482 + 0.956271i \(0.594481\pi\)
\(674\) −0.773858 + 5.13421i −0.0298079 + 0.197762i
\(675\) 16.6771 1.24978i 0.641903 0.0481040i
\(676\) 1.91321 + 4.87477i 0.0735849 + 0.187491i
\(677\) −12.3465 2.81800i −0.474513 0.108304i −0.0214253 0.999770i \(-0.506820\pi\)
−0.453088 + 0.891466i \(0.649678\pi\)
\(678\) −1.04091 + 13.8900i −0.0399759 + 0.533442i
\(679\) −8.38364 + 2.58601i −0.321734 + 0.0992419i
\(680\) 1.72979 35.6408i 0.0663343 1.36676i
\(681\) 3.13270 + 5.42600i 0.120045 + 0.207925i
\(682\) −14.7875 + 25.6127i −0.566243 + 0.980762i
\(683\) −14.0370 20.5885i −0.537110 0.787795i 0.457747 0.889082i \(-0.348656\pi\)
−0.994857 + 0.101287i \(0.967704\pi\)
\(684\) −0.410936 1.80043i −0.0157125 0.0688410i
\(685\) 2.59705 + 17.2303i 0.0992280 + 0.658335i
\(686\) −13.9981 11.1631i −0.534449 0.426209i
\(687\) 21.2264i 0.809837i
\(688\) 14.2766 + 9.97137i 0.544291 + 0.380155i
\(689\) −5.71850 −0.217858
\(690\) 5.88079 + 4.68978i 0.223878 + 0.178537i
\(691\) −0.107310 0.711956i −0.00408227 0.0270841i 0.986697 0.162570i \(-0.0519784\pi\)
−0.990779 + 0.135486i \(0.956740\pi\)
\(692\) 6.65470 1.51889i 0.252974 0.0577396i
\(693\) 3.87975 2.64517i 0.147379 0.100482i
\(694\) 18.0729 + 10.4344i 0.686039 + 0.396085i
\(695\) 16.2974 + 28.2279i 0.618195 + 1.07074i
\(696\) 35.2074 + 16.9550i 1.33453 + 0.642677i
\(697\) 12.2496 + 14.5579i 0.463985 + 0.551419i
\(698\) −2.77390 + 37.0152i −0.104994 + 1.40104i
\(699\) 8.41858 36.8842i 0.318420 1.39509i
\(700\) −1.71085 + 0.671461i −0.0646642 + 0.0253788i
\(701\) 1.77705 + 23.7131i 0.0671182 + 0.895630i 0.924557 + 0.381044i \(0.124435\pi\)
−0.857439 + 0.514586i \(0.827946\pi\)
\(702\) −1.80923 + 12.0035i −0.0682852 + 0.453042i
\(703\) 25.6886 + 27.6858i 0.968866 + 1.04419i
\(704\) 17.0635 + 35.4326i 0.643103 + 1.33542i
\(705\) 34.8698 + 23.7738i 1.31327 + 0.895374i
\(706\) −3.96073 + 10.0918i −0.149064 + 0.379809i
\(707\) 5.68878 18.4426i 0.213949 0.693605i
\(708\) 5.32100 5.73467i 0.199975 0.215522i
\(709\) −0.408482 + 0.325754i −0.0153409 + 0.0122339i −0.631130 0.775677i \(-0.717409\pi\)
0.615789 + 0.787911i \(0.288837\pi\)
\(710\) −12.7327 15.9663i −0.477851 0.599206i
\(711\) 0.560548 0.604128i 0.0210222 0.0226566i
\(712\) 4.97419 + 1.53433i 0.186416 + 0.0575016i
\(713\) −3.04668 + 7.76281i −0.114099 + 0.290719i
\(714\) −8.29647 1.66533i −0.310488 0.0623236i
\(715\) 20.0247 9.64338i 0.748881 0.360642i
\(716\) −2.07876 + 1.92880i −0.0776867 + 0.0720828i
\(717\) −4.64106 + 30.7914i −0.173323 + 1.14993i
\(718\) −1.50957 20.1438i −0.0563366 0.751760i
\(719\) −21.4331 + 8.41189i −0.799321 + 0.313710i −0.729616 0.683857i \(-0.760301\pi\)
−0.0697054 + 0.997568i \(0.522206\pi\)
\(720\) −6.59711 1.50575i −0.245860 0.0561159i
\(721\) 17.8143 + 1.33500i 0.663440 + 0.0497180i
\(722\) 4.84209 1.49359i 0.180204 0.0555856i
\(723\) −9.08112 4.37324i −0.337731 0.162642i
\(724\) 5.53122 3.19345i 0.205566 0.118684i
\(725\) 22.5428 + 13.0151i 0.837220 + 0.483369i
\(726\) 8.66371 + 12.7073i 0.321541 + 0.471613i
\(727\) 1.77981 + 7.79787i 0.0660096 + 0.289207i 0.997149 0.0754561i \(-0.0240413\pi\)
−0.931140 + 0.364663i \(0.881184\pi\)
\(728\) −0.947522 6.28640i −0.0351175 0.232989i
\(729\) −18.3913 + 23.0620i −0.681159 + 0.854146i
\(730\) 45.6378 1.68913
\(731\) −8.35655 25.7132i −0.309078 0.951037i
\(732\) −3.31403 −0.122490
\(733\) 27.8876 34.9699i 1.03005 1.29164i 0.0743736 0.997230i \(-0.476304\pi\)
0.955678 0.294414i \(-0.0951243\pi\)
\(734\) 6.57470 + 43.6203i 0.242677 + 1.61005i
\(735\) −5.12001 22.4322i −0.188854 0.827425i
\(736\) 2.49623 + 3.66130i 0.0920124 + 0.134957i
\(737\) −28.5811 16.5013i −1.05280 0.607834i
\(738\) 4.37450 2.52562i 0.161028 0.0929693i
\(739\) 0.774732 + 0.373091i 0.0284990 + 0.0137244i 0.448079 0.893994i \(-0.352108\pi\)
−0.419580 + 0.907718i \(0.637823\pi\)
\(740\) −14.0479 + 4.33319i −0.516410 + 0.159291i
\(741\) −9.85069 0.738207i −0.361874 0.0271187i
\(742\) −4.45891 1.01772i −0.163692 0.0373615i
\(743\) 20.0482 7.86834i 0.735498 0.288662i 0.0321260 0.999484i \(-0.489772\pi\)
0.703372 + 0.710822i \(0.251677\pi\)
\(744\) 1.82214 + 24.3147i 0.0668028 + 0.891422i
\(745\) 7.69888 51.0787i 0.282065 1.87138i
\(746\) −20.7066 + 19.2129i −0.758123 + 0.703436i
\(747\) −12.8237 + 6.17557i −0.469195 + 0.225952i
\(748\) 1.91599 9.54521i 0.0700556 0.349007i
\(749\) 1.66326 4.23792i 0.0607743 0.154850i
\(750\) −9.65636 2.97859i −0.352600 0.108763i
\(751\) 12.1564 13.1015i 0.443593 0.478079i −0.471186 0.882034i \(-0.656174\pi\)
0.914779 + 0.403954i \(0.132365\pi\)
\(752\)