Properties

Label 731.2.z.a.67.20
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 67.20
Character \(\chi\) = 731.67
Dual form 731.2.z.a.611.20

$q$-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} +(-2.23223 - 3.46658i) 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} +(4.97155 + 0.504362i) 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} +(4.48189 - 3.94438i) 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} +(1.53124 - 1.56560i) 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 \(0.0896534\pi\)
−0.835994 + 0.548738i \(0.815108\pi\)
\(4\) 0.118189 + 0.517820i 0.0590945 + 0.258910i
\(5\) 1.58922 + 2.33095i 0.710719 + 1.04243i 0.996455 + 0.0841255i \(0.0268096\pi\)
−0.285736 + 0.958308i \(0.592238\pi\)
\(6\) −1.51984 0.877483i −0.620474 0.358231i
\(7\) −1.01277 + 0.584720i −0.382789 + 0.221003i −0.679031 0.734109i \(-0.737600\pi\)
0.296242 + 0.955113i \(0.404267\pi\)
\(8\) −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 −0.488249 0.872704i \(-0.662364\pi\)
−0.818550 + 0.574436i \(0.805221\pi\)
\(12\) −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
\(17\) −2.23223 3.46658i −0.541394 0.840769i
\(18\) −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 −0.616064 0.787696i \(-0.711274\pi\)
0.831532 + 0.555477i \(0.187464\pi\)
\(24\) 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 \(0.351868\pi\)
−0.692227 + 0.721680i \(0.743370\pi\)
\(30\) −0.369992 4.93720i −0.0675509 0.901405i
\(31\) −5.10967 + 2.00540i −0.917723 + 0.360180i −0.776732 0.629831i \(-0.783124\pi\)
−0.140991 + 0.990011i \(0.545029\pi\)
\(32\) 0.649045 2.84365i 0.114736 0.502691i
\(33\) 0.481067 6.41940i 0.0837431 1.11747i
\(34\) 4.97155 + 0.504362i 0.852614 + 0.0864974i
\(35\) −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 0.994059 0.108845i \(-0.0347153\pi\)
0.402767 + 0.915303i \(0.368049\pi\)
\(38\) 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 0.863323 0.504652i \(-0.168379\pi\)
−0.299892 + 0.953973i \(0.596951\pi\)
\(42\) 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
\(51\) 4.48189 3.94438i 0.627590 0.552323i
\(52\) −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 0.607950 0.793975i \(-0.291992\pi\)
−0.0943811 + 0.995536i \(0.530087\pi\)
\(62\) 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 \(0.745052\pi\)
\(68\) 1.53124 1.56560i 0.185690 0.189857i
\(69\) 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 0.926532 0.376215i \(-0.122775\pi\)
−0.444403 + 0.895827i \(0.646584\pi\)
\(72\) −2.73978 0.412955i −0.322886 0.0486672i
\(73\) −13.3104 + 0.997474i −1.55786 + 0.116745i −0.825591 0.564269i \(-0.809158\pi\)
−0.732270 + 0.681015i \(0.761539\pi\)
\(74\) −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 −0.543793 0.839219i \(-0.683012\pi\)
0.454889 + 0.890548i \(0.349679\pi\)
\(80\) 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 0.577068 0.816696i \(-0.304197\pi\)
0.165570 + 0.986198i \(0.447054\pi\)
\(98\) −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 \(-0.0447272\pi\)
\(102\) 0.350774 + 7.22740i 0.0347318 + 0.715619i
\(103\) 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 −0.759473 0.650539i \(-0.774543\pi\)
0.465230 + 0.885190i \(0.345972\pi\)
\(108\) −2.34703 + 1.87169i −0.225843 + 0.180104i
\(109\) −5.09572 + 5.49188i −0.488082 + 0.526027i −0.928284 0.371871i \(-0.878716\pi\)
0.440202 + 0.897899i \(0.354907\pi\)
\(110\) 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 0.673855 0.738864i \(-0.264637\pi\)
−0.997809 + 0.0661666i \(0.978923\pi\)
\(114\) 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
\(119\) 4.28770 + 2.20560i 0.393053 + 0.202187i
\(120\) 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 0.812437 0.583048i \(-0.198140\pi\)
−0.387646 + 0.921808i \(0.626712\pi\)
\(132\) 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
\(136\) 1.55553 + 12.5522i 0.133385 + 1.07635i
\(137\) −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 0.553759 0.832677i \(-0.313193\pi\)
0.423470 + 0.905910i \(0.360812\pi\)
\(140\) 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
\(153\) −2.84948 2.39766i −0.230367 0.193839i
\(154\) −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 0.986998 0.160731i \(-0.0513852\pi\)
−0.906039 + 0.423194i \(0.860909\pi\)
\(164\) −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 0.463363 0.886169i \(-0.346643\pi\)
−0.994197 + 0.107578i \(0.965690\pi\)
\(168\) 1.15593 + 5.06448i 0.0891822 + 0.390733i
\(169\) 9.74944 1.46949i 0.749957 0.113038i
\(170\) 6.72522 + 12.3900i 0.515801 + 0.950269i
\(171\) −3.47694 −0.265888
\(172\) −2.57970 + 2.34002i −0.196700 + 0.178425i
\(173\) 12.8514i 0.977073i 0.872543 + 0.488537i \(0.162469\pi\)
−0.872543 + 0.488537i \(0.837531\pi\)
\(174\) 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 \(0.0522355\pi\)
−0.723111 + 0.690732i \(0.757288\pi\)
\(182\) 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
\(187\) 6.24553 + 17.2329i 0.456719 + 1.26020i
\(188\) 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 −0.177081 0.984196i \(-0.556665\pi\)
0.920116 + 0.391645i \(0.128094\pi\)
\(194\) −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 −0.629960 0.776628i \(-0.716929\pi\)
−0.990034 + 0.140827i \(0.955024\pi\)
\(198\) 2.74136 4.02083i 0.194820 0.285748i
\(199\) 0.485003 + 1.00712i 0.0343809 + 0.0713927i 0.917452 0.397847i \(-0.130242\pi\)
−0.883071 + 0.469239i \(0.844528\pi\)
\(200\) 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
\(204\) 2.57219 + 1.85463i 0.180089 + 0.129850i
\(205\) −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 −0.531611 0.846988i \(-0.678413\pi\)
−0.111471 + 0.993768i \(0.535556\pi\)
\(212\) −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
\(221\) 5.83043 4.40381i 0.392197 0.296233i
\(222\) −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 −0.227890 0.973687i \(-0.573183\pi\)
0.495220 + 0.868767i \(0.335087\pi\)
\(228\) 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 −0.607679 0.794183i \(-0.707899\pi\)
−0.985642 + 0.168851i \(0.945994\pi\)
\(234\) −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
\(238\) −5.32992 + 2.39616i −0.345488 + 0.155320i
\(239\) −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 −0.931497 0.363748i \(-0.881497\pi\)
0.678918 + 0.734214i \(0.262449\pi\)
\(242\) −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
\(255\) 16.3169 + 4.17861i 1.02180 + 0.261675i
\(256\) −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 −0.674013 0.738719i \(-0.735431\pi\)
−0.927783 + 0.373120i \(0.878288\pi\)
\(270\) −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 \(0.686743\pi\)
\(272\) −9.33520 5.72221i −0.566029 0.346960i
\(273\) 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 \(-0.536887\pi\)
0.655076 0.755563i \(-0.272637\pi\)
\(278\) −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 0.130720 0.991419i \(-0.458271\pi\)
−0.578512 + 0.815674i \(0.696366\pi\)
\(284\) −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
\(289\) −7.03434 + 15.4764i −0.413784 + 0.910375i
\(290\) 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
\(306\) 4.42512 0.888245i 0.252967 0.0507776i
\(307\) 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 0.410712 0.911765i \(-0.365280\pi\)
0.270234 + 0.962795i \(0.412899\pi\)
\(312\) 7.67453 + 1.75166i 0.434485 + 0.0991683i
\(313\) 11.7846 4.62512i 0.666105 0.261427i −0.00810437 0.999967i \(-0.502580\pi\)
0.674209 + 0.738540i \(0.264484\pi\)
\(314\) −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 0.973208 0.229925i \(-0.0738480\pi\)
−0.786548 + 0.617529i \(0.788134\pi\)
\(318\) 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
\(323\) 4.27786 + 15.2847i 0.238026 + 0.850466i
\(324\) −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 −0.597637 0.801767i \(-0.703894\pi\)
0.395532 + 0.918452i \(0.370560\pi\)
\(338\) −5.97473 + 10.3485i −0.324982 + 0.562886i
\(339\) 9.49582 6.47414i 0.515742 0.351627i
\(340\) 6.08281 + 1.08116i 0.329887 + 0.0586343i
\(341\) 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 \(0.105314\pi\)
−0.807996 + 0.589188i \(0.799448\pi\)
\(348\) −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
\(357\) −2.23275 + 6.61538i −0.118169 + 0.350123i
\(358\) −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 \(0.636989\pi\)
−0.875096 + 0.483949i \(0.839202\pi\)
\(368\) 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 \(0.341435\pi\)
\(374\) −21.0486 7.10406i −1.08839 0.367342i
\(375\) 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 −0.900965 0.433891i \(-0.857140\pi\)
0.900973 + 0.433876i \(0.142854\pi\)
\(380\) 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
\(391\) −6.16732 1.09618i −0.311895 0.0554364i
\(392\) 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 −0.148860 0.988858i \(-0.547560\pi\)
−0.294579 + 0.955627i \(0.595179\pi\)
\(398\) −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 \(-0.694271\pi\)
0.789208 0.614126i \(-0.210491\pi\)
\(402\) 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
\(408\) −17.6373 + 4.93629i −0.873177 + 0.244383i
\(409\) −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 0.770226 0.637771i \(-0.220143\pi\)
0.417231 + 0.908800i \(0.363000\pi\)
\(420\) 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
\(425\) 11.9615 2.40100i 0.580217 0.116466i
\(426\) −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 \(-0.852772\pi\)
0.894926 0.446214i \(-0.147228\pi\)
\(432\) 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 0.997382 0.0723068i \(-0.0230361\pi\)
−0.864808 + 0.502103i \(0.832560\pi\)
\(440\) −2.87516 + 38.3664i −0.137068 + 1.82904i
\(441\) −1.13202 + 4.95968i −0.0539055 + 0.236175i
\(442\) −0.232907 + 8.85238i −0.0110783 + 0.421065i
\(443\) −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 −0.836072 0.548620i \(-0.815153\pi\)
0.999844 + 0.0176848i \(0.00562956\pi\)
\(450\) −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
\(459\) 12.1786 19.8681i 0.568448 0.927364i
\(460\) 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
\(476\) −0.635346 + 2.48093i −0.0291210 + 0.113713i
\(477\) 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 0.512542 0.858662i \(-0.328704\pi\)
−0.487352 + 0.873206i \(0.662037\pi\)
\(480\) 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 \(0.310099\pi\)
−0.780704 + 0.624902i \(0.785139\pi\)
\(488\) −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
\(493\) 33.0820 14.8726i 1.48994 0.669829i
\(494\) 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 −0.965001 0.262245i \(-0.915537\pi\)
0.596672 + 0.802485i \(0.296489\pi\)
\(500\) 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 0.648652 0.761085i \(-0.275333\pi\)
0.754841 + 0.655908i \(0.227714\pi\)
\(504\) 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 \(0.798853\pi\)
\(510\) −16.2893 + 12.3035i −0.721301 + 0.544810i
\(511\) 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 \(0.0884276\pi\)
−0.0960472 + 0.995377i \(0.530620\pi\)
\(522\) −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
\(527\) 18.3578 + 13.2366i 0.799678 + 0.576594i
\(528\) −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 0.600225 0.799831i \(-0.295078\pi\)
−0.104028 + 0.994574i \(0.533173\pi\)
\(542\) −26.0158 17.7373i −1.11748 0.761882i
\(543\) −15.6881 + 7.55501i −0.673243 + 0.324217i
\(544\) −11.3066 + 4.09771i −0.484765 + 0.175688i
\(545\) −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 −0.496477 0.868050i \(-0.665373\pi\)
0.226481 + 0.974016i \(0.427278\pi\)
\(548\) 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
\(561\) −23.3272 + 12.6619i −0.984875 + 0.534585i
\(562\) −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 −0.0448943 0.998992i \(-0.514295\pi\)
0.646577 + 0.762849i \(0.276200\pi\)
\(572\) 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 \(0.974196\pi\)
\(578\) −9.34921 18.3601i −0.388876 0.763680i
\(579\) 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
\(595\) 1.67293 + 13.4996i 0.0685834 + 0.553430i
\(596\) −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 \(-0.809960\pi\)
0.827010 0.562187i \(-0.190040\pi\)
\(602\) 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 \(-0.978623\pi\)
0.302048 0.953293i \(-0.402330\pi\)
\(608\) −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
\(612\) 0.904779 1.75889i 0.0365735 0.0710990i
\(613\) 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 0.582983 0.812484i \(-0.301885\pi\)
−0.853779 + 0.520636i \(0.825695\pi\)
\(618\) −11.6319 24.1538i −0.467902 0.971609i
\(619\) 3.89684 5.71561i 0.156627 0.229730i −0.739902 0.672715i \(-0.765128\pi\)
0.896529 + 0.442985i \(0.146080\pi\)
\(620\) 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
\(629\) −1.96097 40.4041i −0.0781889 1.61102i
\(630\) 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 0.415683 0.909510i \(-0.363543\pi\)
0.769139 + 0.639082i \(0.220686\pi\)
\(642\) 6.75577 1.01827i 0.266629 0.0401878i
\(643\) 38.2819 + 30.5288i 1.50969 + 1.20394i 0.917241 + 0.398332i \(0.130411\pi\)
0.592450 + 0.805607i \(0.298161\pi\)
\(644\) −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 \(-0.675704\pi\)
0.992663 0.120911i \(-0.0385816\pi\)
\(654\) 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
\(663\) 7.56395 + 7.39792i 0.293759 + 0.287312i
\(664\) 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 0.292482 0.956271i \(-0.405519\pi\)
−0.975454 + 0.220202i \(0.929328\pi\)
\(674\) 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 0.453088 0.891466i \(-0.350322\pi\)
0.0214253 + 0.999770i \(0.493180\pi\)
\(678\) −1.04091 + 13.8900i −0.0399759 + 0.533442i
\(679\) −8.38364 + 2.58601i −0.321734 + 0.0992419i
\(680\) −26.7866 + 23.5741i −1.02722 + 0.904025i
\(681\) 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 0.994857 0.101287i \(-0.0322960\pi\)
−0.457747 + 0.889082i \(0.651344\pi\)
\(684\) −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 0.990779 0.135486i \(-0.0432597\pi\)
−0.986697 + 0.162570i \(0.948022\pi\)
\(692\) −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
\(697\) 1.92031 18.9287i 0.0727370 0.716976i
\(698\) −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 −0.615789 0.787911i \(-0.711163\pi\)
0.631130 + 0.775677i \(0.282591\pi\)
\(710\) −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
\(714\) −4.58126 7.11455i −0.171449 0.266256i
\(715\) 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 0.0697054 0.997568i \(-0.477794\pi\)
0.729616 + 0.683857i \(0.239699\pi\)
\(720\) 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
\(731\) 12.6379 23.9015i 0.467431 0.884029i
\(732\) −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 −0.703372 0.710822i \(-0.748323\pi\)
−0.0321260 + 0.999484i \(0.510228\pi\)
\(744\) 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
\(748\) −8.18539 + 5.27080i −0.299288 + 0.192720i
\(749\) 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 −0.914779 0.403954i \(-0.867635\pi\)
0.471186 + 0.882034i \(0.343826\pi\)
\(752\) −17.1054