Properties

Label 731.2.k.a.35.3
Level 731
Weight 2
Character 731.35
Analytic conductor 5.837
Analytic rank 0
Dimension 180
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.k (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(180\)
Relative dimension: \(30\) over \(\Q(\zeta_{7})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 35.3
Character \(\chi\) = 731.35
Dual form 731.2.k.a.188.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.570082 + 2.49769i) q^{2} +(-0.272791 - 1.19518i) q^{3} +(-4.11153 - 1.98001i) q^{4} +(-0.726540 + 0.911052i) q^{5} +3.14070 q^{6} -3.39707 q^{7} +(4.09469 - 5.13458i) q^{8} +(1.34887 - 0.649583i) q^{9} +O(q^{10})\) \(q+(-0.570082 + 2.49769i) q^{2} +(-0.272791 - 1.19518i) q^{3} +(-4.11153 - 1.98001i) q^{4} +(-0.726540 + 0.911052i) q^{5} +3.14070 q^{6} -3.39707 q^{7} +(4.09469 - 5.13458i) q^{8} +(1.34887 - 0.649583i) q^{9} +(-1.86134 - 2.33405i) q^{10} +(2.91060 - 1.40167i) q^{11} +(-1.24487 + 5.45413i) q^{12} +(-0.455484 + 0.571159i) q^{13} +(1.93661 - 8.48483i) q^{14} +(1.28706 + 0.619817i) q^{15} +(4.79974 + 6.01869i) q^{16} +(0.623490 + 0.781831i) q^{17} +(0.853490 + 3.73938i) q^{18} +(-0.704367 - 0.339205i) q^{19} +(4.79108 - 2.30726i) q^{20} +(0.926692 + 4.06010i) q^{21} +(1.84166 + 8.06884i) q^{22} +(6.25489 - 3.01219i) q^{23} +(-7.25372 - 3.49321i) q^{24} +(0.810449 + 3.55081i) q^{25} +(-1.16691 - 1.46327i) q^{26} +(-3.43736 - 4.31031i) q^{27} +(13.9672 + 6.72623i) q^{28} +(-0.0265690 + 0.116407i) q^{29} +(-2.28184 + 2.86134i) q^{30} +(-1.65361 + 7.24495i) q^{31} +(-5.93508 + 2.85818i) q^{32} +(-2.46923 - 3.09632i) q^{33} +(-2.30821 + 1.11158i) q^{34} +(2.46811 - 3.09491i) q^{35} -6.83211 q^{36} +11.1243 q^{37} +(1.24878 - 1.56592i) q^{38} +(0.806888 + 0.388577i) q^{39} +(1.70291 + 7.46095i) q^{40} +(-2.65909 + 11.6502i) q^{41} -10.6692 q^{42} +(-1.06129 - 6.47099i) q^{43} -14.7423 q^{44} +(-0.388206 + 1.70084i) q^{45} +(3.95773 + 17.3400i) q^{46} +(3.28090 + 1.58000i) q^{47} +(5.88407 - 7.37839i) q^{48} +4.54009 q^{49} -9.33084 q^{50} +(0.764344 - 0.958458i) q^{51} +(3.00363 - 1.44647i) q^{52} +(2.40192 + 3.01192i) q^{53} +(12.7254 - 6.12823i) q^{54} +(-0.837671 + 3.67008i) q^{55} +(-13.9099 + 17.4425i) q^{56} +(-0.213265 + 0.934375i) q^{57} +(-0.275601 - 0.132722i) q^{58} +(4.80790 + 6.02892i) q^{59} +(-4.06455 - 5.09679i) q^{60} +(0.359434 + 1.57478i) q^{61} +(-17.1530 - 8.26043i) q^{62} +(-4.58222 + 2.20668i) q^{63} +(-0.329362 - 1.44303i) q^{64} +(-0.189428 - 0.829939i) q^{65} +(9.14130 - 4.40222i) q^{66} +(1.87052 + 0.900796i) q^{67} +(-1.01546 - 4.44904i) q^{68} +(-5.30638 - 6.65400i) q^{69} +(6.32310 + 7.92892i) q^{70} +(7.31917 + 3.52472i) q^{71} +(2.18788 - 9.58573i) q^{72} +(7.51963 - 9.42932i) q^{73} +(-6.34175 + 27.7850i) q^{74} +(4.02276 - 1.93726i) q^{75} +(2.22440 + 2.78930i) q^{76} +(-9.88750 + 4.76157i) q^{77} +(-1.43054 + 1.79384i) q^{78} +10.0931 q^{79} -8.97055 q^{80} +(-1.41356 + 1.77255i) q^{81} +(-27.5828 - 13.2832i) q^{82} +(-2.79494 - 12.2454i) q^{83} +(4.22891 - 18.5281i) q^{84} -1.16528 q^{85} +(16.7675 + 1.03823i) q^{86} +0.146374 q^{87} +(4.72101 - 20.6841i) q^{88} +(-2.68230 - 11.7519i) q^{89} +(-4.02687 - 1.93924i) q^{90} +(1.54731 - 1.94027i) q^{91} -31.6813 q^{92} +9.11010 q^{93} +(-5.81673 + 7.29395i) q^{94} +(0.820784 - 0.395269i) q^{95} +(5.03508 + 6.31378i) q^{96} +(6.70893 - 3.23085i) q^{97} +(-2.58822 + 11.3397i) q^{98} +(3.01553 - 3.78135i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} + O(q^{10}) \) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} - 8q^{10} - 12q^{11} - 24q^{12} - 5q^{13} - 8q^{14} - q^{15} - 58q^{16} - 30q^{17} + 36q^{18} - 24q^{19} - 36q^{20} - 28q^{21} + 5q^{22} + 27q^{23} - 46q^{24} - 38q^{25} + 6q^{26} - 36q^{27} - 54q^{28} + 28q^{29} - 21q^{30} + 36q^{31} + 11q^{32} + 5q^{33} - 4q^{34} + 6q^{35} + 192q^{36} + 164q^{37} + 32q^{38} - 34q^{39} + 2q^{40} + 42q^{41} - 2q^{42} - 22q^{43} + 14q^{44} + 58q^{45} - 53q^{46} + 21q^{47} - 20q^{48} + 166q^{49} + 18q^{50} - 6q^{51} + 54q^{52} + 8q^{53} - 154q^{54} - 5q^{55} - 35q^{56} + 8q^{57} + 9q^{58} - 13q^{59} - 88q^{60} - 34q^{61} - 36q^{62} - 31q^{63} - 18q^{64} + 9q^{65} + 222q^{66} - 48q^{67} - 27q^{68} + 2q^{69} - 64q^{70} - 42q^{71} + 77q^{72} - 44q^{73} - 35q^{74} - 21q^{75} + 44q^{76} - 32q^{77} + 124q^{78} - 96q^{79} + 490q^{80} - 12q^{81} - 130q^{82} - 8q^{83} + 170q^{84} + 22q^{85} - 12q^{86} - 90q^{87} - 122q^{88} - 81q^{89} + 49q^{90} - 27q^{91} - 116q^{92} + 18q^{93} - 124q^{94} + 117q^{95} + 52q^{96} - 79q^{97} - 54q^{98} - 39q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(173\) \(562\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.570082 + 2.49769i −0.403109 + 1.76613i 0.211576 + 0.977361i \(0.432140\pi\)
−0.614685 + 0.788773i \(0.710717\pi\)
\(3\) −0.272791 1.19518i −0.157496 0.690036i −0.990585 0.136897i \(-0.956287\pi\)
0.833089 0.553139i \(-0.186570\pi\)
\(4\) −4.11153 1.98001i −2.05576 0.990004i
\(5\) −0.726540 + 0.911052i −0.324919 + 0.407435i −0.917284 0.398235i \(-0.869623\pi\)
0.592365 + 0.805670i \(0.298194\pi\)
\(6\) 3.14070 1.28218
\(7\) −3.39707 −1.28397 −0.641986 0.766716i \(-0.721889\pi\)
−0.641986 + 0.766716i \(0.721889\pi\)
\(8\) 4.09469 5.13458i 1.44769 1.81535i
\(9\) 1.34887 0.649583i 0.449624 0.216528i
\(10\) −1.86134 2.33405i −0.588607 0.738090i
\(11\) 2.91060 1.40167i 0.877578 0.422619i 0.0598387 0.998208i \(-0.480941\pi\)
0.817739 + 0.575589i \(0.195227\pi\)
\(12\) −1.24487 + 5.45413i −0.359363 + 1.57447i
\(13\) −0.455484 + 0.571159i −0.126329 + 0.158411i −0.840973 0.541077i \(-0.818017\pi\)
0.714645 + 0.699488i \(0.246588\pi\)
\(14\) 1.93661 8.48483i 0.517580 2.26767i
\(15\) 1.28706 + 0.619817i 0.332318 + 0.160036i
\(16\) 4.79974 + 6.01869i 1.19994 + 1.50467i
\(17\) 0.623490 + 0.781831i 0.151218 + 0.189622i
\(18\) 0.853490 + 3.73938i 0.201170 + 0.881381i
\(19\) −0.704367 0.339205i −0.161593 0.0778190i 0.351339 0.936248i \(-0.385726\pi\)
−0.512932 + 0.858429i \(0.671441\pi\)
\(20\) 4.79108 2.30726i 1.07132 0.515920i
\(21\) 0.926692 + 4.06010i 0.202221 + 0.885987i
\(22\) 1.84166 + 8.06884i 0.392643 + 1.72028i
\(23\) 6.25489 3.01219i 1.30423 0.628086i 0.352731 0.935725i \(-0.385253\pi\)
0.951503 + 0.307639i \(0.0995389\pi\)
\(24\) −7.25372 3.49321i −1.48066 0.713048i
\(25\) 0.810449 + 3.55081i 0.162090 + 0.710162i
\(26\) −1.16691 1.46327i −0.228851 0.286970i
\(27\) −3.43736 4.31031i −0.661521 0.829520i
\(28\) 13.9672 + 6.72623i 2.63954 + 1.27114i
\(29\) −0.0265690 + 0.116407i −0.00493375 + 0.0216162i −0.977335 0.211699i \(-0.932100\pi\)
0.972401 + 0.233315i \(0.0749574\pi\)
\(30\) −2.28184 + 2.86134i −0.416605 + 0.522407i
\(31\) −1.65361 + 7.24495i −0.296998 + 1.30123i 0.577575 + 0.816338i \(0.303999\pi\)
−0.874573 + 0.484895i \(0.838858\pi\)
\(32\) −5.93508 + 2.85818i −1.04918 + 0.505260i
\(33\) −2.46923 3.09632i −0.429838 0.538999i
\(34\) −2.30821 + 1.11158i −0.395855 + 0.190634i
\(35\) 2.46811 3.09491i 0.417186 0.523135i
\(36\) −6.83211 −1.13869
\(37\) 11.1243 1.82882 0.914411 0.404787i \(-0.132654\pi\)
0.914411 + 0.404787i \(0.132654\pi\)
\(38\) 1.24878 1.56592i 0.202578 0.254025i
\(39\) 0.806888 + 0.388577i 0.129205 + 0.0622221i
\(40\) 1.70291 + 7.46095i 0.269254 + 1.17968i
\(41\) −2.65909 + 11.6502i −0.415280 + 1.81946i 0.142894 + 0.989738i \(0.454359\pi\)
−0.558175 + 0.829724i \(0.688498\pi\)
\(42\) −10.6692 −1.64629
\(43\) −1.06129 6.47099i −0.161844 0.986816i
\(44\) −14.7423 −2.22249
\(45\) −0.388206 + 1.70084i −0.0578704 + 0.253547i
\(46\) 3.95773 + 17.3400i 0.583536 + 2.55664i
\(47\) 3.28090 + 1.58000i 0.478569 + 0.230467i 0.657586 0.753379i \(-0.271578\pi\)
−0.179017 + 0.983846i \(0.557292\pi\)
\(48\) 5.88407 7.37839i 0.849292 1.06498i
\(49\) 4.54009 0.648584
\(50\) −9.33084 −1.31958
\(51\) 0.764344 0.958458i 0.107030 0.134211i
\(52\) 3.00363 1.44647i 0.416529 0.200590i
\(53\) 2.40192 + 3.01192i 0.329930 + 0.413719i 0.918934 0.394411i \(-0.129051\pi\)
−0.589005 + 0.808130i \(0.700480\pi\)
\(54\) 12.7254 6.12823i 1.73171 0.833947i
\(55\) −0.837671 + 3.67008i −0.112951 + 0.494873i
\(56\) −13.9099 + 17.4425i −1.85879 + 2.33085i
\(57\) −0.213265 + 0.934375i −0.0282477 + 0.123761i
\(58\) −0.275601 0.132722i −0.0361882 0.0174273i
\(59\) 4.80790 + 6.02892i 0.625936 + 0.784899i 0.989166 0.146801i \(-0.0468976\pi\)
−0.363230 + 0.931699i \(0.618326\pi\)
\(60\) −4.06455 5.09679i −0.524732 0.657993i
\(61\) 0.359434 + 1.57478i 0.0460209 + 0.201631i 0.992712 0.120513i \(-0.0384539\pi\)
−0.946691 + 0.322143i \(0.895597\pi\)
\(62\) −17.1530 8.26043i −2.17843 1.04908i
\(63\) −4.58222 + 2.20668i −0.577305 + 0.278016i
\(64\) −0.329362 1.44303i −0.0411703 0.180379i
\(65\) −0.189428 0.829939i −0.0234957 0.102941i
\(66\) 9.14130 4.40222i 1.12522 0.541876i
\(67\) 1.87052 + 0.900796i 0.228521 + 0.110050i 0.544641 0.838669i \(-0.316666\pi\)
−0.316120 + 0.948719i \(0.602380\pi\)
\(68\) −1.01546 4.44904i −0.123143 0.539525i
\(69\) −5.30638 6.65400i −0.638814 0.801047i
\(70\) 6.32310 + 7.92892i 0.755755 + 0.947687i
\(71\) 7.31917 + 3.52472i 0.868625 + 0.418308i 0.814457 0.580224i \(-0.197035\pi\)
0.0541683 + 0.998532i \(0.482749\pi\)
\(72\) 2.18788 9.58573i 0.257844 1.12969i
\(73\) 7.51963 9.42932i 0.880107 1.10362i −0.113812 0.993502i \(-0.536306\pi\)
0.993919 0.110116i \(-0.0351224\pi\)
\(74\) −6.34175 + 27.7850i −0.737214 + 3.22995i
\(75\) 4.02276 1.93726i 0.464508 0.223695i
\(76\) 2.22440 + 2.78930i 0.255156 + 0.319955i
\(77\) −9.88750 + 4.76157i −1.12679 + 0.542631i
\(78\) −1.43054 + 1.79384i −0.161976 + 0.203112i
\(79\) 10.0931 1.13556 0.567782 0.823179i \(-0.307801\pi\)
0.567782 + 0.823179i \(0.307801\pi\)
\(80\) −8.97055 −1.00294
\(81\) −1.41356 + 1.77255i −0.157062 + 0.196950i
\(82\) −27.5828 13.2832i −3.04601 1.46688i
\(83\) −2.79494 12.2454i −0.306784 1.34411i −0.859669 0.510852i \(-0.829330\pi\)
0.552884 0.833258i \(-0.313527\pi\)
\(84\) 4.22891 18.5281i 0.461412 2.02158i
\(85\) −1.16528 −0.126392
\(86\) 16.7675 + 1.03823i 1.80809 + 0.111955i
\(87\) 0.146374 0.0156930
\(88\) 4.72101 20.6841i 0.503261 2.20493i
\(89\) −2.68230 11.7519i −0.284323 1.24570i −0.892190 0.451661i \(-0.850832\pi\)
0.607867 0.794039i \(-0.292025\pi\)
\(90\) −4.02687 1.93924i −0.424469 0.204414i
\(91\) 1.54731 1.94027i 0.162202 0.203395i
\(92\) −31.6813 −3.30300
\(93\) 9.11010 0.944673
\(94\) −5.81673 + 7.29395i −0.599950 + 0.752314i
\(95\) 0.820784 0.395269i 0.0842107 0.0405537i
\(96\) 5.03508 + 6.31378i 0.513890 + 0.644398i
\(97\) 6.70893 3.23085i 0.681189 0.328043i −0.0610921 0.998132i \(-0.519458\pi\)
0.742281 + 0.670089i \(0.233744\pi\)
\(98\) −2.58822 + 11.3397i −0.261450 + 1.14549i
\(99\) 3.01553 3.78135i 0.303072 0.380040i
\(100\) 3.69844 16.2039i 0.369844 1.62039i
\(101\) −1.03281 0.497375i −0.102768 0.0494907i 0.381793 0.924248i \(-0.375307\pi\)
−0.484562 + 0.874757i \(0.661021\pi\)
\(102\) 1.95819 + 2.45550i 0.193890 + 0.243130i
\(103\) −0.0355961 0.0446361i −0.00350739 0.00439812i 0.780075 0.625686i \(-0.215181\pi\)
−0.783582 + 0.621288i \(0.786610\pi\)
\(104\) 1.06759 + 4.67743i 0.104686 + 0.458660i
\(105\) −4.37224 2.10556i −0.426687 0.205482i
\(106\) −8.89213 + 4.28222i −0.863680 + 0.415926i
\(107\) −3.18977 13.9753i −0.308367 1.35104i −0.857145 0.515075i \(-0.827764\pi\)
0.548778 0.835968i \(-0.315093\pi\)
\(108\) 5.59835 + 24.5280i 0.538702 + 2.36021i
\(109\) 8.32017 4.00678i 0.796928 0.383780i 0.00931971 0.999957i \(-0.497033\pi\)
0.787608 + 0.616176i \(0.211319\pi\)
\(110\) −8.68917 4.18448i −0.828480 0.398975i
\(111\) −3.03461 13.2955i −0.288032 1.26195i
\(112\) −16.3051 20.4459i −1.54068 1.93196i
\(113\) 3.86289 + 4.84391i 0.363390 + 0.455677i 0.929592 0.368590i \(-0.120159\pi\)
−0.566202 + 0.824267i \(0.691588\pi\)
\(114\) −2.21220 1.06534i −0.207192 0.0997783i
\(115\) −1.80016 + 7.88701i −0.167866 + 0.735467i
\(116\) 0.339725 0.426002i 0.0315427 0.0395533i
\(117\) −0.243375 + 1.06630i −0.0225000 + 0.0985791i
\(118\) −17.7993 + 8.57168i −1.63856 + 0.789087i
\(119\) −2.11804 2.65594i −0.194160 0.243469i
\(120\) 8.45262 4.07057i 0.771615 0.371590i
\(121\) −0.351492 + 0.440757i −0.0319538 + 0.0400688i
\(122\) −4.13823 −0.374658
\(123\) 14.6495 1.32090
\(124\) 21.1439 26.5137i 1.89878 2.38100i
\(125\) −9.07320 4.36942i −0.811532 0.390813i
\(126\) −2.89937 12.7030i −0.258296 1.13167i
\(127\) 1.51480 6.63676i 0.134417 0.588917i −0.862189 0.506587i \(-0.830907\pi\)
0.996605 0.0823298i \(-0.0262361\pi\)
\(128\) −9.38288 −0.829337
\(129\) −7.44447 + 3.03365i −0.655449 + 0.267098i
\(130\) 2.18092 0.191279
\(131\) −0.799531 + 3.50297i −0.0698553 + 0.306056i −0.997771 0.0667346i \(-0.978742\pi\)
0.927915 + 0.372791i \(0.121599\pi\)
\(132\) 4.02158 + 17.6197i 0.350033 + 1.53360i
\(133\) 2.39278 + 1.15230i 0.207481 + 0.0999174i
\(134\) −3.31626 + 4.15846i −0.286481 + 0.359236i
\(135\) 6.42430 0.552916
\(136\) 6.56737 0.563147
\(137\) −0.768794 + 0.964037i −0.0656825 + 0.0823633i −0.813587 0.581443i \(-0.802488\pi\)
0.747905 + 0.663806i \(0.231060\pi\)
\(138\) 19.6447 9.46039i 1.67227 0.805322i
\(139\) 2.50478 + 3.14090i 0.212453 + 0.266407i 0.876627 0.481170i \(-0.159788\pi\)
−0.664174 + 0.747578i \(0.731217\pi\)
\(140\) −16.2756 + 7.83793i −1.37554 + 0.662426i
\(141\) 0.993378 4.35227i 0.0836575 0.366527i
\(142\) −12.9762 + 16.2716i −1.08894 + 1.36549i
\(143\) −0.525154 + 2.30085i −0.0439156 + 0.192407i
\(144\) 10.3839 + 5.00062i 0.865324 + 0.416718i
\(145\) −0.0867490 0.108780i −0.00720411 0.00903367i
\(146\) 19.2647 + 24.1572i 1.59436 + 1.99926i
\(147\) −1.23850 5.42621i −0.102149 0.447546i
\(148\) −45.7378 22.0262i −3.75963 1.81054i
\(149\) −16.8020 + 8.09141i −1.37647 + 0.662874i −0.968244 0.250006i \(-0.919567\pi\)
−0.408228 + 0.912880i \(0.633853\pi\)
\(150\) 2.54537 + 11.1520i 0.207829 + 0.910558i
\(151\) 1.80212 + 7.89560i 0.146654 + 0.642535i 0.993801 + 0.111175i \(0.0354615\pi\)
−0.847146 + 0.531359i \(0.821681\pi\)
\(152\) −4.62584 + 2.22769i −0.375205 + 0.180689i
\(153\) 1.34887 + 0.649583i 0.109050 + 0.0525157i
\(154\) −6.25625 27.4104i −0.504143 2.20879i
\(155\) −5.39912 6.77028i −0.433667 0.543802i
\(156\) −2.54816 3.19529i −0.204016 0.255828i
\(157\) −4.27084 2.05673i −0.340850 0.164145i 0.255626 0.966776i \(-0.417718\pi\)
−0.596476 + 0.802631i \(0.703433\pi\)
\(158\) −5.75390 + 25.2095i −0.457756 + 2.00556i
\(159\) 2.94455 3.69235i 0.233518 0.292822i
\(160\) 1.70812 7.48375i 0.135039 0.591643i
\(161\) −21.2483 + 10.2326i −1.67460 + 0.806445i
\(162\) −3.62143 4.54113i −0.284526 0.356785i
\(163\) 8.15613 3.92779i 0.638838 0.307648i −0.0862821 0.996271i \(-0.527499\pi\)
0.725120 + 0.688623i \(0.241784\pi\)
\(164\) 34.0005 42.6353i 2.65499 3.32925i
\(165\) 4.61490 0.359269
\(166\) 32.1786 2.49755
\(167\) 13.5650 17.0100i 1.04969 1.31627i 0.102805 0.994702i \(-0.467218\pi\)
0.946886 0.321569i \(-0.104210\pi\)
\(168\) 24.6414 + 11.8667i 1.90113 + 0.915534i
\(169\) 2.77402 + 12.1538i 0.213386 + 0.934904i
\(170\) 0.664305 2.91051i 0.0509498 0.223226i
\(171\) −1.17044 −0.0895061
\(172\) −8.44910 + 28.7070i −0.644238 + 2.18889i
\(173\) 20.3004 1.54341 0.771706 0.635980i \(-0.219404\pi\)
0.771706 + 0.635980i \(0.219404\pi\)
\(174\) −0.0834453 + 0.365598i −0.00632597 + 0.0277159i
\(175\) −2.75315 12.0623i −0.208119 0.911827i
\(176\) 22.4063 + 10.7903i 1.68894 + 0.813351i
\(177\) 5.89407 7.39094i 0.443026 0.555537i
\(178\) 30.8818 2.31469
\(179\) −0.635258 −0.0474814 −0.0237407 0.999718i \(-0.507558\pi\)
−0.0237407 + 0.999718i \(0.507558\pi\)
\(180\) 4.96380 6.22441i 0.369980 0.463940i
\(181\) 5.56915 2.68196i 0.413951 0.199348i −0.215304 0.976547i \(-0.569074\pi\)
0.629255 + 0.777199i \(0.283360\pi\)
\(182\) 3.96409 + 4.97081i 0.293838 + 0.368461i
\(183\) 1.78410 0.859175i 0.131884 0.0635121i
\(184\) 10.1455 44.4502i 0.747933 3.27691i
\(185\) −8.08224 + 10.1348i −0.594218 + 0.745126i
\(186\) −5.19350 + 22.7542i −0.380806 + 1.66842i
\(187\) 2.91060 + 1.40167i 0.212844 + 0.102500i
\(188\) −10.3611 12.9924i −0.755662 0.947570i
\(189\) 11.6770 + 14.6424i 0.849374 + 1.06508i
\(190\) 0.519346 + 2.27540i 0.0376773 + 0.165075i
\(191\) 10.9379 + 5.26742i 0.791440 + 0.381137i 0.785513 0.618845i \(-0.212399\pi\)
0.00592685 + 0.999982i \(0.498113\pi\)
\(192\) −1.63483 + 0.787292i −0.117984 + 0.0568179i
\(193\) 3.77901 + 16.5569i 0.272019 + 1.19179i 0.907626 + 0.419780i \(0.137893\pi\)
−0.635607 + 0.772013i \(0.719250\pi\)
\(194\) 4.24503 + 18.5987i 0.304775 + 1.33531i
\(195\) −0.940250 + 0.452801i −0.0673327 + 0.0324257i
\(196\) −18.6667 8.98941i −1.33334 0.642101i
\(197\) 5.15946 + 22.6051i 0.367596 + 1.61055i 0.733362 + 0.679838i \(0.237950\pi\)
−0.365766 + 0.930707i \(0.619193\pi\)
\(198\) 7.72555 + 9.68753i 0.549031 + 0.688463i
\(199\) 0.574455 + 0.720343i 0.0407220 + 0.0510638i 0.801775 0.597625i \(-0.203889\pi\)
−0.761053 + 0.648689i \(0.775318\pi\)
\(200\) 21.5504 + 10.3781i 1.52385 + 0.733845i
\(201\) 0.566348 2.48133i 0.0399471 0.175020i
\(202\) 1.83108 2.29610i 0.128834 0.161553i
\(203\) 0.0902569 0.395441i 0.00633479 0.0277545i
\(204\) −5.04038 + 2.42732i −0.352897 + 0.169946i
\(205\) −8.68204 10.8869i −0.606380 0.760377i
\(206\) 0.131780 0.0634618i 0.00918153 0.00442159i
\(207\) 6.48038 8.12614i 0.450417 0.564806i
\(208\) −5.62383 −0.389943
\(209\) −2.52558 −0.174698
\(210\) 7.75158 9.72017i 0.534910 0.670755i
\(211\) 0.151146 + 0.0727882i 0.0104053 + 0.00501095i 0.439079 0.898448i \(-0.355305\pi\)
−0.428674 + 0.903459i \(0.641019\pi\)
\(212\) −3.91196 17.1394i −0.268674 1.17714i
\(213\) 2.21607 9.70922i 0.151842 0.665264i
\(214\) 36.7244 2.51043
\(215\) 6.66647 + 3.73454i 0.454650 + 0.254694i
\(216\) −36.2066 −2.46354
\(217\) 5.61744 24.6116i 0.381337 1.67075i
\(218\) 5.26453 + 23.0654i 0.356559 + 1.56219i
\(219\) −13.3210 6.41506i −0.900150 0.433489i
\(220\) 10.7109 13.4310i 0.722128 0.905519i
\(221\) −0.730539 −0.0491414
\(222\) 34.9380 2.34489
\(223\) −4.87391 + 6.11170i −0.326381 + 0.409269i −0.917767 0.397120i \(-0.870010\pi\)
0.591385 + 0.806389i \(0.298581\pi\)
\(224\) 20.1619 9.70945i 1.34712 0.648740i
\(225\) 3.39974 + 4.26314i 0.226649 + 0.284209i
\(226\) −14.3008 + 6.88688i −0.951272 + 0.458109i
\(227\) −2.05873 + 9.01989i −0.136643 + 0.598671i 0.859516 + 0.511108i \(0.170765\pi\)
−0.996159 + 0.0875627i \(0.972092\pi\)
\(228\) 2.72692 3.41944i 0.180594 0.226458i
\(229\) −5.77591 + 25.3059i −0.381683 + 1.67226i 0.310526 + 0.950565i \(0.399495\pi\)
−0.692209 + 0.721697i \(0.743362\pi\)
\(230\) −18.6731 8.99248i −1.23127 0.592946i
\(231\) 8.38814 + 10.5184i 0.551899 + 0.692060i
\(232\) 0.488906 + 0.613069i 0.0320983 + 0.0402500i
\(233\) −3.38843 14.8457i −0.221983 0.972572i −0.955983 0.293422i \(-0.905206\pi\)
0.734000 0.679150i \(-0.237651\pi\)
\(234\) −2.52453 1.21575i −0.165034 0.0794761i
\(235\) −3.82317 + 1.84114i −0.249396 + 0.120103i
\(236\) −7.83053 34.3078i −0.509724 2.23325i
\(237\) −2.75332 12.0631i −0.178847 0.783581i
\(238\) 7.84116 3.77611i 0.508267 0.244769i
\(239\) −18.3823 8.85244i −1.18905 0.572617i −0.268515 0.963275i \(-0.586533\pi\)
−0.920536 + 0.390659i \(0.872247\pi\)
\(240\) 2.44709 + 10.7214i 0.157959 + 0.692063i
\(241\) −18.1041 22.7018i −1.16618 1.46235i −0.859939 0.510397i \(-0.829498\pi\)
−0.306246 0.951952i \(-0.599073\pi\)
\(242\) −0.900495 1.12919i −0.0578860 0.0725868i
\(243\) −12.3973 5.97021i −0.795286 0.382989i
\(244\) 1.64026 7.18646i 0.105007 0.460066i
\(245\) −3.29856 + 4.13626i −0.210737 + 0.264256i
\(246\) −8.35140 + 36.5899i −0.532466 + 2.33288i
\(247\) 0.514568 0.247803i 0.0327412 0.0157673i
\(248\) 30.4287 + 38.1564i 1.93223 + 2.42294i
\(249\) −13.8730 + 6.68089i −0.879167 + 0.423384i
\(250\) 16.0859 20.1711i 1.01736 1.27573i
\(251\) 6.25717 0.394949 0.197475 0.980308i \(-0.436726\pi\)
0.197475 + 0.980308i \(0.436726\pi\)
\(252\) 23.2092 1.46204
\(253\) 13.9833 17.5346i 0.879126 1.10239i
\(254\) 15.7130 + 7.56699i 0.985922 + 0.474795i
\(255\) 0.317878 + 1.39272i 0.0199063 + 0.0872152i
\(256\) 6.00773 26.3216i 0.375483 1.64510i
\(257\) −18.5263 −1.15564 −0.577820 0.816164i \(-0.696097\pi\)
−0.577820 + 0.816164i \(0.696097\pi\)
\(258\) −3.33317 20.3234i −0.207514 1.26528i
\(259\) −37.7900 −2.34816
\(260\) −0.864447 + 3.78739i −0.0536107 + 0.234884i
\(261\) 0.0397775 + 0.174276i 0.00246216 + 0.0107874i
\(262\) −8.29354 3.99396i −0.512377 0.246748i
\(263\) −9.96010 + 12.4896i −0.614166 + 0.770140i −0.987511 0.157553i \(-0.949640\pi\)
0.373345 + 0.927693i \(0.378211\pi\)
\(264\) −26.0090 −1.60074
\(265\) −4.48911 −0.275764
\(266\) −4.24218 + 5.31953i −0.260105 + 0.326161i
\(267\) −13.3139 + 6.41164i −0.814798 + 0.392386i
\(268\) −5.90712 7.40730i −0.360835 0.452473i
\(269\) −23.5794 + 11.3553i −1.43766 + 0.692342i −0.980405 0.196992i \(-0.936883\pi\)
−0.457258 + 0.889334i \(0.651168\pi\)
\(270\) −3.66238 + 16.0459i −0.222885 + 0.976524i
\(271\) −0.857758 + 1.07559i −0.0521051 + 0.0653377i −0.807201 0.590276i \(-0.799019\pi\)
0.755096 + 0.655614i \(0.227590\pi\)
\(272\) −1.71301 + 7.50518i −0.103866 + 0.455069i
\(273\) −2.74106 1.32002i −0.165896 0.0798914i
\(274\) −1.96959 2.46979i −0.118987 0.149205i
\(275\) 7.33595 + 9.19899i 0.442374 + 0.554720i
\(276\) 8.64239 + 37.8648i 0.520211 + 2.27919i
\(277\) 12.9940 + 6.25758i 0.780734 + 0.375982i 0.781410 0.624018i \(-0.214501\pi\)
−0.000676074 1.00000i \(0.500215\pi\)
\(278\) −9.27291 + 4.46560i −0.556152 + 0.267829i
\(279\) 2.47569 + 10.8467i 0.148215 + 0.649374i
\(280\) −5.78492 25.3454i −0.345715 1.51468i
\(281\) −4.71748 + 2.27182i −0.281421 + 0.135525i −0.569270 0.822150i \(-0.692774\pi\)
0.287849 + 0.957676i \(0.407060\pi\)
\(282\) 10.3043 + 4.96230i 0.613613 + 0.295501i
\(283\) 1.11672 + 4.89265i 0.0663819 + 0.290838i 0.997213 0.0746126i \(-0.0237720\pi\)
−0.930831 + 0.365451i \(0.880915\pi\)
\(284\) −23.1140 28.9840i −1.37156 1.71988i
\(285\) −0.696319 0.873157i −0.0412464 0.0517213i
\(286\) −5.44743 2.62335i −0.322113 0.155122i
\(287\) 9.03312 39.5767i 0.533208 2.33614i
\(288\) −6.14904 + 7.71066i −0.362336 + 0.454355i
\(289\) −0.222521 + 0.974928i −0.0130895 + 0.0573487i
\(290\) 0.321152 0.154659i 0.0188587 0.00908188i
\(291\) −5.69158 7.13701i −0.333646 0.418379i
\(292\) −49.5873 + 23.8800i −2.90188 + 1.39747i
\(293\) 7.05996 8.85291i 0.412447 0.517192i −0.531603 0.846993i \(-0.678410\pi\)
0.944050 + 0.329801i \(0.106982\pi\)
\(294\) 14.2590 0.831604
\(295\) −8.98580 −0.523173
\(296\) 45.5505 57.1185i 2.64757 3.31995i
\(297\) −16.0464 7.72754i −0.931107 0.448398i
\(298\) −10.6313 46.5789i −0.615857 2.69824i
\(299\) −1.12856 + 4.94454i −0.0652662 + 0.285950i
\(300\) −20.3755 −1.17638
\(301\) 3.60526 + 21.9824i 0.207804 + 1.26704i
\(302\) −20.7481 −1.19392
\(303\) −0.312710 + 1.37007i −0.0179647 + 0.0787085i
\(304\) −1.33921 5.86746i −0.0768090 0.336522i
\(305\) −1.69585 0.816681i −0.0971044 0.0467630i
\(306\) −2.39143 + 2.99875i −0.136709 + 0.171427i
\(307\) −5.92911 −0.338392 −0.169196 0.985582i \(-0.554117\pi\)
−0.169196 + 0.985582i \(0.554117\pi\)
\(308\) 50.0807 2.85361
\(309\) −0.0436377 + 0.0547200i −0.00248246 + 0.00311291i
\(310\) 19.9880 9.62571i 1.13524 0.546704i
\(311\) −0.0904401 0.113408i −0.00512839 0.00643079i 0.779261 0.626700i \(-0.215595\pi\)
−0.784389 + 0.620269i \(0.787023\pi\)
\(312\) 5.29913 2.55193i 0.300004 0.144474i
\(313\) −1.01729 + 4.45703i −0.0575005 + 0.251926i −0.995507 0.0946927i \(-0.969813\pi\)
0.938006 + 0.346619i \(0.112670\pi\)
\(314\) 7.57179 9.49473i 0.427301 0.535818i
\(315\) 1.31876 5.77788i 0.0743039 0.325547i
\(316\) −41.4982 19.9845i −2.33445 1.12421i
\(317\) 8.59043 + 10.7721i 0.482487 + 0.605019i 0.962179 0.272418i \(-0.0878232\pi\)
−0.479693 + 0.877437i \(0.659252\pi\)
\(318\) 7.54371 + 9.45951i 0.423030 + 0.530463i
\(319\) 0.0858318 + 0.376054i 0.00480566 + 0.0210550i
\(320\) 1.55397 + 0.748353i 0.0868696 + 0.0418342i
\(321\) −15.8328 + 7.62468i −0.883702 + 0.425568i
\(322\) −13.4447 58.9051i −0.749244 3.28265i
\(323\) −0.173964 0.762187i −0.00967963 0.0424092i
\(324\) 9.32155 4.48902i 0.517864 0.249390i
\(325\) −2.39722 1.15444i −0.132974 0.0640369i
\(326\) 5.16074 + 22.6107i 0.285827 + 1.25229i
\(327\) −7.05849 8.85106i −0.390335 0.489465i
\(328\) 48.9309 + 61.3574i 2.70176 + 3.38789i
\(329\) −11.1455 5.36737i −0.614469 0.295913i
\(330\) −2.63087 + 11.5266i −0.144825 + 0.634518i
\(331\) 19.9961 25.0743i 1.09909 1.37821i 0.180226 0.983625i \(-0.442317\pi\)
0.918860 0.394584i \(-0.129111\pi\)
\(332\) −12.7546 + 55.8814i −0.699998 + 3.06689i
\(333\) 15.0053 7.22615i 0.822283 0.395991i
\(334\) 34.7525 + 43.5782i 1.90157 + 2.38449i
\(335\) −2.17968 + 1.04968i −0.119089 + 0.0573501i
\(336\) −19.9886 + 25.0649i −1.09047 + 1.36740i
\(337\) −33.0261 −1.79905 −0.899523 0.436874i \(-0.856086\pi\)
−0.899523 + 0.436874i \(0.856086\pi\)
\(338\) −31.9377 −1.73718
\(339\) 4.73557 5.93822i 0.257201 0.322520i
\(340\) 4.79108 + 2.30726i 0.259833 + 0.125129i
\(341\) 5.34203 + 23.4050i 0.289287 + 1.26745i
\(342\) 0.667248 2.92341i 0.0360807 0.158080i
\(343\) 8.35650 0.451208
\(344\) −37.5714 21.0474i −2.02571 1.13480i
\(345\) 9.91744 0.533937
\(346\) −11.5729 + 50.7041i −0.622162 + 2.72587i
\(347\) −3.57171 15.6487i −0.191739 0.840065i −0.975675 0.219223i \(-0.929648\pi\)
0.783935 0.620842i \(-0.213209\pi\)
\(348\) −0.601822 0.289822i −0.0322610 0.0155361i
\(349\) 8.08935 10.1437i 0.433013 0.542981i −0.516674 0.856182i \(-0.672830\pi\)
0.949687 + 0.313201i \(0.101401\pi\)
\(350\) 31.6975 1.69430
\(351\) 4.02754 0.214974
\(352\) −13.2684 + 16.6380i −0.707208 + 0.886811i
\(353\) −3.15329 + 1.51854i −0.167832 + 0.0808239i −0.515914 0.856640i \(-0.672548\pi\)
0.348081 + 0.937464i \(0.386833\pi\)
\(354\) 15.1002 + 18.9350i 0.802565 + 1.00638i
\(355\) −8.52888 + 4.10729i −0.452666 + 0.217992i
\(356\) −12.2405 + 53.6293i −0.648747 + 2.84235i
\(357\) −2.59653 + 3.25595i −0.137423 + 0.172323i
\(358\) 0.362149 1.58668i 0.0191402 0.0838585i
\(359\) −12.8215 6.17451i −0.676693 0.325878i 0.0637804 0.997964i \(-0.479684\pi\)
−0.740473 + 0.672086i \(0.765399\pi\)
\(360\) 7.14352 + 8.95769i 0.376497 + 0.472112i
\(361\) −11.4652 14.3769i −0.603433 0.756681i
\(362\) 3.52384 + 15.4389i 0.185209 + 0.811453i
\(363\) 0.622667 + 0.299860i 0.0326815 + 0.0157386i
\(364\) −10.2036 + 4.91377i −0.534812 + 0.257552i
\(365\) 3.12729 + 13.7016i 0.163690 + 0.717172i
\(366\) 1.12887 + 4.94592i 0.0590072 + 0.258527i
\(367\) −13.5549 + 6.52771i −0.707561 + 0.340744i −0.752815 0.658232i \(-0.771305\pi\)
0.0452538 + 0.998976i \(0.485590\pi\)
\(368\) 48.1513 + 23.1884i 2.51006 + 1.20878i
\(369\) 3.98102 + 17.4420i 0.207244 + 0.907994i
\(370\) −20.7061 25.9646i −1.07646 1.34984i
\(371\) −8.15950 10.2317i −0.423620 0.531203i
\(372\) −37.4564 18.0381i −1.94202 0.935230i
\(373\) 0.737639 3.23181i 0.0381935 0.167337i −0.952234 0.305368i \(-0.901220\pi\)
0.990428 + 0.138032i \(0.0440776\pi\)
\(374\) −5.16021 + 6.47070i −0.266828 + 0.334592i
\(375\) −2.74714 + 12.0360i −0.141862 + 0.621537i
\(376\) 21.5469 10.3764i 1.11120 0.535124i
\(377\) −0.0543848 0.0681964i −0.00280096 0.00351230i
\(378\) −43.2291 + 20.8180i −2.22347 + 1.07076i
\(379\) 0.608318 0.762806i 0.0312472 0.0391827i −0.765962 0.642885i \(-0.777737\pi\)
0.797210 + 0.603703i \(0.206309\pi\)
\(380\) −4.15731 −0.213266
\(381\) −8.34533 −0.427544
\(382\) −19.3919 + 24.3167i −0.992176 + 1.24415i
\(383\) 0.788634 + 0.379786i 0.0402973 + 0.0194062i 0.453924 0.891040i \(-0.350024\pi\)
−0.413627 + 0.910447i \(0.635738\pi\)
\(384\) 2.55957 + 11.2142i 0.130617 + 0.572272i
\(385\) 2.84563 12.4675i 0.145027 0.635403i
\(386\) −43.5084 −2.21452
\(387\) −5.63498 8.03915i −0.286442 0.408653i
\(388\) −33.9811 −1.72513
\(389\) 6.66669 29.2087i 0.338014 1.48094i −0.465177 0.885217i \(-0.654009\pi\)
0.803192 0.595720i \(-0.203133\pi\)
\(390\) −0.594937 2.60659i −0.0301258 0.131990i
\(391\) 6.25489 + 3.01219i 0.316323 + 0.152333i
\(392\) 18.5902 23.3114i 0.938949 1.17740i
\(393\) 4.40478 0.222192
\(394\) −59.4018 −2.99262
\(395\) −7.33306 + 9.19536i −0.368966 + 0.462669i
\(396\) −19.8855 + 9.57636i −0.999285 + 0.481230i
\(397\) 16.2107 + 20.3276i 0.813591 + 1.02021i 0.999293 + 0.0376048i \(0.0119728\pi\)
−0.185702 + 0.982606i \(0.559456\pi\)
\(398\) −2.12668 + 1.02416i −0.106601 + 0.0513363i
\(399\) 0.724477 3.17414i 0.0362692 0.158906i
\(400\) −17.4813 + 21.9208i −0.874063 + 1.09604i
\(401\) 4.52323 19.8176i 0.225880 0.989643i −0.727082 0.686551i \(-0.759124\pi\)
0.952961 0.303092i \(-0.0980190\pi\)
\(402\) 5.87474 + 2.82913i 0.293006 + 0.141104i
\(403\) −3.38482 4.24444i −0.168610 0.211430i
\(404\) 3.26162 + 4.08995i 0.162272 + 0.203482i
\(405\) −0.587876 2.57565i −0.0292118 0.127985i
\(406\) 0.936236 + 0.450868i 0.0464646 + 0.0223762i
\(407\) 32.3783 15.5926i 1.60493 0.772895i
\(408\) −1.79152 7.84917i −0.0886935 0.388592i
\(409\) 3.45577 + 15.1407i 0.170877 + 0.748661i 0.985639 + 0.168865i \(0.0540103\pi\)
−0.814762 + 0.579795i \(0.803133\pi\)
\(410\) 32.1417 15.4786i 1.58736 0.764434i
\(411\) 1.36192 + 0.655864i 0.0671783 + 0.0323514i
\(412\) 0.0579745 + 0.254003i 0.00285620 + 0.0125138i
\(413\) −16.3328 20.4807i −0.803684 1.00779i
\(414\) 16.6022 + 20.8185i 0.815955 + 1.02318i
\(415\) 13.1869 + 6.35046i 0.647317 + 0.311732i
\(416\) 1.07086 4.69173i 0.0525031 0.230031i
\(417\) 3.07064 3.85047i 0.150370 0.188558i
\(418\) 1.43979 6.30812i 0.0704223 0.308540i
\(419\) −29.1753 + 14.0501i −1.42531 + 0.686391i −0.978119 0.208049i \(-0.933289\pi\)
−0.447188 + 0.894440i \(0.647575\pi\)
\(420\) 13.8076 + 17.3142i 0.673741 + 0.844844i
\(421\) −3.98096 + 1.91713i −0.194020 + 0.0934351i −0.528371 0.849013i \(-0.677197\pi\)
0.334351 + 0.942449i \(0.391483\pi\)
\(422\) −0.267968 + 0.336021i −0.0130445 + 0.0163573i
\(423\) 5.45186 0.265079
\(424\) 25.3000 1.22868
\(425\) −2.27083 + 2.84753i −0.110151 + 0.138125i
\(426\) 22.9873 + 11.0701i 1.11374 + 0.536348i
\(427\) −1.22102 5.34965i −0.0590895 0.258888i
\(428\) −14.5564 + 63.7756i −0.703608 + 3.08271i
\(429\) 2.89318 0.139684
\(430\) −13.1282 + 14.5218i −0.633097 + 0.700303i
\(431\) 11.9098 0.573677 0.286838 0.957979i \(-0.407396\pi\)
0.286838 + 0.957979i \(0.407396\pi\)
\(432\) 9.44399 41.3768i 0.454374 1.99074i
\(433\) 2.75433 + 12.0675i 0.132365 + 0.579928i 0.996991 + 0.0775131i \(0.0246979\pi\)
−0.864627 + 0.502415i \(0.832445\pi\)
\(434\) 58.2698 + 28.0613i 2.79704 + 1.34698i
\(435\) −0.106347 + 0.133355i −0.00509894 + 0.00639386i
\(436\) −42.1421 −2.01824
\(437\) −5.42749 −0.259632
\(438\) 23.6169 29.6146i 1.12846 1.41504i
\(439\) 21.9387 10.5651i 1.04708 0.504246i 0.170426 0.985371i \(-0.445486\pi\)
0.876652 + 0.481124i \(0.159771\pi\)
\(440\) 15.4143 + 19.3289i 0.734847 + 0.921469i
\(441\) 6.12400 2.94916i 0.291619 0.140436i
\(442\) 0.416467 1.82466i 0.0198093 0.0867903i
\(443\) −2.72366 + 3.41536i −0.129405 + 0.162269i −0.842313 0.538989i \(-0.818806\pi\)
0.712908 + 0.701258i \(0.247378\pi\)
\(444\) −13.8483 + 60.6734i −0.657211 + 2.87943i
\(445\) 12.6554 + 6.09452i 0.599923 + 0.288908i
\(446\) −12.4866 15.6577i −0.591257 0.741413i
\(447\) 14.2541 + 17.8741i 0.674196 + 0.845415i
\(448\) 1.11887 + 4.90207i 0.0528615 + 0.231601i
\(449\) 21.1464 + 10.1836i 0.997960 + 0.480592i 0.860246 0.509880i \(-0.170310\pi\)
0.137715 + 0.990472i \(0.456024\pi\)
\(450\) −12.5861 + 6.06116i −0.593316 + 0.285726i
\(451\) 8.59024 + 37.6363i 0.404499 + 1.77222i
\(452\) −6.29140 27.5644i −0.295923 1.29652i
\(453\) 8.94504 4.30770i 0.420274 0.202393i
\(454\) −21.3553 10.2841i −1.00225 0.482659i
\(455\) 0.643501 + 2.81936i 0.0301678 + 0.132174i
\(456\) 3.92437 + 4.92100i 0.183775 + 0.230447i
\(457\) 24.8549 + 31.1671i 1.16266 + 1.45793i 0.863941 + 0.503594i \(0.167989\pi\)
0.298723 + 0.954340i \(0.403439\pi\)
\(458\) −59.9136 28.8529i −2.79958 1.34821i
\(459\) 1.22678 5.37487i 0.0572612 0.250878i
\(460\) 23.0177 28.8633i 1.07321 1.34576i
\(461\) 4.15652 18.2109i 0.193589 0.848167i −0.781065 0.624449i \(-0.785323\pi\)
0.974654 0.223718i \(-0.0718194\pi\)
\(462\) −31.0536 + 14.9546i −1.44475 + 0.695753i
\(463\) −0.749733 0.940135i −0.0348430 0.0436918i 0.764105 0.645092i \(-0.223181\pi\)
−0.798948 + 0.601400i \(0.794610\pi\)
\(464\) −0.828139 + 0.398811i −0.0384454 + 0.0185143i
\(465\) −6.61885 + 8.29977i −0.306942 + 0.384893i
\(466\) 39.0116 1.80718
\(467\) −21.7715 −1.00746 −0.503732 0.863860i \(-0.668040\pi\)
−0.503732 + 0.863860i \(0.668040\pi\)
\(468\) 3.11192 3.90222i 0.143848 0.180380i
\(469\) −6.35430 3.06007i −0.293414 0.141301i
\(470\) −2.41908 10.5987i −0.111584 0.488882i
\(471\) −1.29311 + 5.66546i −0.0595831 + 0.261051i
\(472\) 50.6428 2.33103
\(473\) −12.1592 17.3469i −0.559079 0.797610i
\(474\) 31.6994 1.45600
\(475\) 0.633599 2.77598i 0.0290715 0.127371i
\(476\) 3.44960 + 15.1137i 0.158112 + 0.692735i
\(477\) 5.19638 + 2.50244i 0.237926 + 0.114579i
\(478\) 32.5901 40.8666i 1.49063 1.86920i
\(479\) 11.3339 0.517861 0.258931 0.965896i \(-0.416630\pi\)
0.258931 + 0.965896i \(0.416630\pi\)
\(480\) −9.41037 −0.429523
\(481\) −5.06694 + 6.35374i −0.231032 + 0.289705i
\(482\) 67.0228 32.2765i 3.05280 1.47015i
\(483\) 18.0262 + 22.6041i 0.820219 + 1.02852i
\(484\) 2.31787 1.11623i 0.105358 0.0507376i
\(485\) −1.93083 + 8.45953i −0.0876746 + 0.384127i
\(486\) 21.9792 27.5611i 0.996997 1.25020i
\(487\) 0.127732 0.559632i 0.00578810 0.0253593i −0.971951 0.235182i \(-0.924431\pi\)
0.977740 + 0.209822i \(0.0672886\pi\)
\(488\) 9.55762 + 4.60271i 0.432653 + 0.208355i
\(489\) −6.91932 8.67656i −0.312903 0.392368i
\(490\) −8.45065 10.5968i −0.381761 0.478714i
\(491\) −7.61086 33.3453i −0.343473 1.50485i −0.791686 0.610928i \(-0.790797\pi\)
0.448213 0.893927i \(-0.352061\pi\)
\(492\) −60.2317 29.0061i −2.71546 1.30769i
\(493\) −0.107576 + 0.0518058i −0.00484497 + 0.00233322i
\(494\) 0.325589 + 1.42650i 0.0146489 + 0.0641812i
\(495\) 1.25411 + 5.49460i 0.0563679 + 0.246964i
\(496\) −51.5421 + 24.8213i −2.31431 + 1.11451i
\(497\) −24.8637 11.9737i −1.11529 0.537096i
\(498\) −8.77805 38.4592i −0.393354 1.72340i
\(499\) 6.94173 + 8.70465i 0.310754 + 0.389674i 0.912542 0.408982i \(-0.134116\pi\)
−0.601788 + 0.798656i \(0.705545\pi\)
\(500\) 28.6532 + 35.9300i 1.28141 + 1.60684i
\(501\) −24.0303 11.5724i −1.07360 0.517017i
\(502\) −3.56710 + 15.6285i −0.159207 + 0.697533i
\(503\) 11.4789 14.3941i 0.511818 0.641799i −0.457032 0.889450i \(-0.651087\pi\)
0.968849 + 0.247651i \(0.0796588\pi\)
\(504\) −7.43239 + 32.5634i −0.331065 + 1.45049i
\(505\) 1.20351 0.579581i 0.0535556 0.0257910i
\(506\) 35.8243 + 44.9222i 1.59258 + 1.99704i
\(507\) 13.7692 6.63088i 0.611510 0.294488i
\(508\) −19.3690 + 24.2879i −0.859359 + 1.07760i
\(509\) 5.96372 0.264337 0.132169 0.991227i \(-0.457806\pi\)
0.132169 + 0.991227i \(0.457806\pi\)
\(510\) −3.65979 −0.162058
\(511\) −25.5447 + 32.0321i −1.13003 + 1.41702i
\(512\) 45.4109 + 21.8688i 2.00690 + 0.966472i
\(513\) 0.959082 + 4.20201i 0.0423445 + 0.185523i
\(514\) 10.5615 46.2731i 0.465849 2.04102i
\(515\) 0.0665278 0.00293156
\(516\) 36.6148 + 2.26715i 1.61188 + 0.0998057i
\(517\) 11.7640 0.517381
\(518\) 21.5434 94.3877i 0.946562 4.14716i
\(519\) −5.53778 24.2626i −0.243081 1.06501i
\(520\) −5.03704 2.42571i −0.220889 0.106374i
\(521\) −11.2144 + 14.0624i −0.491311 + 0.616084i −0.964245 0.265014i \(-0.914624\pi\)
0.472934 + 0.881098i \(0.343195\pi\)
\(522\) −0.457965 −0.0200446
\(523\) 3.78244 0.165395 0.0826973 0.996575i \(-0.473647\pi\)
0.0826973 + 0.996575i \(0.473647\pi\)
\(524\) 10.2232 12.8195i 0.446603 0.560022i
\(525\) −13.6656 + 6.58101i −0.596416 + 0.287219i
\(526\) −25.5170 31.9973i −1.11259 1.39515i
\(527\) −6.69534 + 3.22431i −0.291654 + 0.140453i
\(528\) 6.78409 29.7230i 0.295240 1.29353i
\(529\) 15.7100 19.6997i 0.683044 0.856510i
\(530\) 2.55916 11.2124i 0.111163 0.487036i
\(531\) 10.4015 + 5.00912i 0.451388 + 0.217377i
\(532\) −7.55643 9.47546i −0.327613 0.410813i
\(533\) −5.44296 6.82526i −0.235761 0.295635i
\(534\) −8.42428 36.9092i −0.364554 1.59722i
\(535\) 15.0497 + 7.24757i 0.650656 + 0.313340i
\(536\) 12.2844 5.91586i 0.530606 0.255526i
\(537\) 0.173293 + 0.759246i 0.00747814 + 0.0327639i
\(538\) −14.9197 65.3675i −0.643234 2.81819i
\(539\) 13.2144 6.36370i 0.569183 0.274104i
\(540\) −26.4137 12.7202i −1.13666 0.547389i
\(541\) −9.13908 40.0409i −0.392920 1.72149i −0.654281 0.756252i \(-0.727028\pi\)
0.261361 0.965241i \(-0.415829\pi\)
\(542\) −2.19751 2.75559i −0.0943912 0.118363i
\(543\) −4.72463 5.92450i −0.202753 0.254245i
\(544\) −5.93508 2.85818i −0.254464 0.122544i
\(545\) −2.39455 + 10.4912i −0.102571 + 0.449394i
\(546\) 4.85963 6.09379i 0.207973 0.260790i
\(547\) −1.74031 + 7.62478i −0.0744101 + 0.326012i −0.998409 0.0563827i \(-0.982043\pi\)
0.923999 + 0.382395i \(0.124900\pi\)
\(548\) 5.06972 2.44145i 0.216568 0.104294i
\(549\) 1.50779 + 1.89070i 0.0643507 + 0.0806932i
\(550\) −27.1583 + 13.0788i −1.15803 + 0.557680i
\(551\) 0.0582001 0.0729806i 0.00247941 0.00310908i
\(552\) −55.8934 −2.37898
\(553\) −34.2870 −1.45803
\(554\) −23.0371 + 28.8877i −0.978754 + 1.22732i
\(555\) 14.3177 + 6.89502i 0.607751 + 0.292677i
\(556\) −4.07948 17.8734i −0.173008 0.758000i
\(557\) 2.39323 10.4854i 0.101404 0.444281i −0.898581 0.438808i \(-0.855401\pi\)
0.999985 0.00547299i \(-0.00174211\pi\)
\(558\) −28.5030 −1.20663
\(559\) 4.17936 + 2.34127i 0.176768 + 0.0990251i
\(560\) 30.4736 1.28774
\(561\) 0.881258 3.86104i 0.0372067 0.163013i
\(562\) −2.98495 13.0779i −0.125913 0.551660i
\(563\) −6.92801 3.33635i −0.291981 0.140611i 0.282159 0.959368i \(-0.408949\pi\)
−0.574140 + 0.818757i \(0.694664\pi\)
\(564\) −12.7018 + 15.9276i −0.534844 + 0.670673i
\(565\) −7.21960 −0.303731
\(566\) −12.8570 −0.540418
\(567\) 4.80196 6.02147i 0.201663 0.252878i
\(568\) 48.0677 23.1482i 2.01687 0.971276i
\(569\) −26.7619 33.5584i −1.12192 1.40684i −0.902222 0.431272i \(-0.858065\pi\)
−0.219696 0.975568i \(-0.570507\pi\)
\(570\) 2.57783 1.24142i 0.107974 0.0519974i
\(571\) −4.46277 + 19.5527i −0.186761 + 0.818253i 0.791549 + 0.611106i \(0.209275\pi\)
−0.978310 + 0.207147i \(0.933582\pi\)
\(572\) 6.71489 8.42020i 0.280764 0.352066i
\(573\) 3.31173 14.5097i 0.138350 0.606150i
\(574\) 93.7007 + 45.1239i 3.91099 + 1.88343i
\(575\) 15.7650 + 19.7687i 0.657445 + 0.824410i
\(576\) −1.38164 1.73252i −0.0575681 0.0721882i
\(577\) 7.29405 + 31.9573i 0.303655 + 1.33040i 0.864564 + 0.502522i \(0.167595\pi\)
−0.560909 + 0.827877i \(0.689548\pi\)
\(578\) −2.30821 1.11158i −0.0960090 0.0462355i
\(579\) 18.7576 9.03317i 0.779538 0.375406i
\(580\) 0.141286 + 0.619015i 0.00586659 + 0.0257032i
\(581\) 9.49460 + 41.5986i 0.393902 + 1.72580i
\(582\) 21.0707 10.1471i 0.873409 0.420612i
\(583\) 11.2127 + 5.39977i 0.464384 + 0.223636i
\(584\) −17.6250 77.2203i −0.729329 3.19540i
\(585\) −0.794629 0.996434i −0.0328539 0.0411975i
\(586\) 18.0871 + 22.6805i 0.747170 + 0.936921i
\(587\) −2.93538 1.41360i −0.121156 0.0583457i 0.372324 0.928103i \(-0.378561\pi\)
−0.493480 + 0.869757i \(0.664275\pi\)
\(588\) −5.65182 + 24.7622i −0.233077 + 1.02118i
\(589\) 3.62228 4.54219i 0.149253 0.187158i
\(590\) 5.12264 22.4437i 0.210896 0.923994i
\(591\) 25.6096 12.3329i 1.05344 0.507309i
\(592\) 53.3938 + 66.9536i 2.19447 + 2.75178i
\(593\) −38.4224 + 18.5032i −1.57782 + 0.759837i −0.998473 0.0552454i \(-0.982406\pi\)
−0.579345 + 0.815082i \(0.696692\pi\)
\(594\) 28.4488 35.6736i 1.16727 1.46371i
\(595\) 3.95854 0.162284
\(596\) 85.1029 3.48595
\(597\) 0.704232 0.883078i 0.0288223 0.0361420i
\(598\) −11.7066 5.63758i −0.478717 0.230538i
\(599\) 7.90089 + 34.6160i 0.322821 + 1.41437i 0.832508 + 0.554013i \(0.186904\pi\)
−0.509686 + 0.860360i \(0.670239\pi\)
\(600\) 6.52494 28.5876i 0.266380 1.16709i
\(601\) 17.0003 0.693458 0.346729 0.937965i \(-0.387292\pi\)
0.346729 + 0.937965i \(0.387292\pi\)
\(602\) −56.9605 3.52694i −2.32154 0.143747i
\(603\) 3.10824 0.126577
\(604\) 8.22388 36.0312i 0.334625 1.46609i
\(605\) −0.146180 0.640455i −0.00594305 0.0260382i
\(606\) −3.24374 1.56210i −0.131768 0.0634562i
\(607\) 5.34441 6.70168i 0.216923 0.272013i −0.661449 0.749990i \(-0.730058\pi\)
0.878372 + 0.477977i \(0.158630\pi\)
\(608\) 5.14999 0.208859
\(609\) −0.497244 −0.0201493
\(610\) 3.00659 3.77015i 0.121733 0.152649i
\(611\) −2.39683 + 1.15425i −0.0969653 + 0.0466960i
\(612\) −4.25975 5.34156i −0.172190 0.215920i
\(613\) −21.2846 + 10.2501i −0.859678 + 0.413999i −0.811161 0.584823i \(-0.801164\pi\)
−0.0485173 + 0.998822i \(0.515450\pi\)
\(614\) 3.38008 14.8091i 0.136409 0.597646i
\(615\) −10.6434 + 13.3464i −0.429185 + 0.538180i
\(616\) −16.0376 + 70.2653i −0.646173 + 2.83107i
\(617\) 21.7470 + 10.4728i 0.875501 + 0.421619i 0.816979 0.576667i \(-0.195647\pi\)
0.0585215 + 0.998286i \(0.481361\pi\)
\(618\) −0.111797 0.140188i −0.00449711 0.00563920i
\(619\) −0.955282 1.19789i −0.0383960 0.0481471i 0.762263 0.647268i \(-0.224088\pi\)
−0.800659 + 0.599121i \(0.795517\pi\)
\(620\) 8.79342 + 38.5265i 0.353152 + 1.54726i
\(621\) −34.4838 16.6065i −1.38379 0.666397i
\(622\) 0.334817 0.161239i 0.0134249 0.00646511i
\(623\) 9.11195 + 39.9221i 0.365063 + 1.59944i
\(624\) 1.53413 + 6.72148i 0.0614145 + 0.269074i
\(625\) −5.83438 + 2.80969i −0.233375 + 0.112388i
\(626\) −10.5523 5.08174i −0.421756 0.203107i
\(627\) 0.688957 + 3.01852i 0.0275143 + 0.120548i
\(628\) 13.4873 + 16.9126i 0.538203 + 0.674885i
\(629\) 6.93588 + 8.69732i 0.276552 + 0.346785i
\(630\) 13.6796 + 6.58773i 0.545007 + 0.262461i
\(631\) 3.92045 17.1766i 0.156071 0.683791i −0.834977 0.550284i \(-0.814519\pi\)
0.991048 0.133506i \(-0.0426236\pi\)
\(632\) 41.3282 51.8239i 1.64395 2.06144i
\(633\) 0.0457634 0.200503i 0.00181893 0.00796926i
\(634\) −31.8025 + 15.3153i −1.26304 + 0.608248i
\(635\) 4.94587 + 6.20193i 0.196271 + 0.246116i
\(636\) −19.4175 + 9.35096i −0.769953 + 0.370790i
\(637\) −2.06794 + 2.59311i −0.0819346 + 0.102743i
\(638\) −0.988197 −0.0391231
\(639\) 12.1622 0.481130
\(640\) 6.81704 8.54830i 0.269467 0.337901i
\(641\) 39.0882 + 18.8239i 1.54389 + 0.743500i 0.995681 0.0928401i \(-0.0295946\pi\)
0.548212 + 0.836340i \(0.315309\pi\)
\(642\) −10.0181 43.8922i −0.395383 1.73229i
\(643\) 0.189049 0.828280i 0.00745538 0.0326642i −0.971063 0.238822i \(-0.923239\pi\)
0.978519 + 0.206158i \(0.0660960\pi\)
\(644\) 107.624 4.24096
\(645\) 2.64489 8.98637i 0.104142 0.353838i
\(646\) 2.00288 0.0788023
\(647\) −8.23952 + 36.0997i −0.323929 + 1.41923i 0.506567 + 0.862201i \(0.330914\pi\)
−0.830496 + 0.557025i \(0.811943\pi\)
\(648\) 3.31319 + 14.5161i 0.130155 + 0.570244i
\(649\) 22.4444 + 10.8087i 0.881021 + 0.424277i
\(650\) 4.25005 5.32939i 0.166701 0.209036i
\(651\) −30.9476 −1.21293
\(652\) −41.3112 −1.61787
\(653\) −17.2677 + 21.6531i −0.675739 + 0.847349i −0.994954 0.100333i \(-0.968009\pi\)
0.319215 + 0.947682i \(0.396581\pi\)
\(654\) 26.1311 12.5841i 1.02181 0.492077i
\(655\) −2.61050 3.27346i −0.102001 0.127905i
\(656\) −82.8821 + 39.9139i −3.23600 + 1.55838i
\(657\) 4.01790 17.6036i 0.156753 0.686781i
\(658\) 19.7599 24.7781i 0.770319 0.965950i
\(659\) 6.68117 29.2721i 0.260261 1.14028i −0.660707 0.750644i \(-0.729744\pi\)
0.920969 0.389636i \(-0.127399\pi\)
\(660\) −18.9743 9.13754i −0.738573 0.355678i
\(661\) 7.28279 + 9.13233i 0.283268 + 0.355207i 0.903026 0.429586i \(-0.141341\pi\)
−0.619758 + 0.784793i \(0.712769\pi\)
\(662\) 51.2285 + 64.2385i 1.99105 + 2.49670i
\(663\) 0.199285 + 0.873124i 0.00773958 + 0.0339093i
\(664\) −74.3195 35.7904i −2.88415 1.38894i
\(665\) −2.78826 + 1.34276i −0.108124 + 0.0520699i
\(666\) 9.49447 + 41.5980i 0.367903 + 1.61189i
\(667\) 0.184453 + 0.808141i 0.00714204 + 0.0312913i
\(668\) −89.4527 + 43.0782i −3.46103 + 1.66674i
\(669\) 8.63412 + 4.15797i 0.333814 + 0.160757i
\(670\) −1.37918 6.04257i −0.0532823 0.233445i
\(671\) 3.25350 + 4.07976i 0.125600 + 0.157497i
\(672\) −17.1045 21.4484i −0.659821 0.827389i
\(673\) −43.8041 21.0949i −1.68852 0.813149i −0.995761 0.0919827i \(-0.970680\pi\)
−0.692762 0.721167i \(-0.743606\pi\)
\(674\) 18.8276 82.4890i 0.725211 3.17736i
\(675\) 12.5193 15.6987i 0.481868 0.604243i
\(676\) 12.6591 55.4631i 0.486888 2.13320i
\(677\) −29.3599 + 14.1390i −1.12839 + 0.543405i −0.902475 0.430742i \(-0.858252\pi\)
−0.225917 + 0.974147i \(0.572538\pi\)
\(678\) 12.1322 + 15.2133i 0.465933 + 0.584262i
\(679\) −22.7907 + 10.9754i −0.874627 + 0.421198i
\(680\) −4.77146 + 5.98322i −0.182977 + 0.229446i
\(681\) 11.3420 0.434625
\(682\) −61.5037 −2.35510
\(683\) 17.0117 21.3320i 0.650936 0.816248i −0.341387 0.939923i \(-0.610897\pi\)
0.992323 + 0.123675i \(0.0394680\pi\)
\(684\) 4.81231 + 2.31749i 0.184003 + 0.0886114i
\(685\) −0.319729 1.40082i −0.0122162 0.0535227i
\(686\) −4.76389 + 20.8719i −0.181886 + 0.796895i
\(687\) 31.8207 1.21403
\(688\) 33.8530 37.4466i 1.29063 1.42764i
\(689\) −2.81432 −0.107217
\(690\) −5.65375 + 24.7707i −0.215235 + 0.943004i
\(691\) 8.14043 + 35.6655i 0.309676 + 1.35678i 0.855032 + 0.518576i \(0.173538\pi\)
−0.545355 + 0.838205i \(0.683605\pi\)
\(692\) −83.4657 40.1950i −3.17289 1.52798i
\(693\) −10.2440 + 12.8455i −0.389136 + 0.487961i
\(694\) 41.1217 1.56096
\(695\) −4.68134 −0.177573
\(696\) 0.599357 0.751570i 0.0227186 0.0284882i
\(697\) −10.7664 + 5.18484i −0.407808 + 0.196390i
\(698\) 20.7243 + 25.9875i 0.784427 + 0.983640i
\(699\) −16.8189 + 8.09954i −0.636148 + 0.306353i
\(700\) −12.5639 + 55.0459i −0.474870 + 2.08054i
\(701\) −2.17689 + 2.72973i −0.0822199 + 0.103100i −0.821240 0.570583i \(-0.806717\pi\)
0.739020 + 0.673683i \(0.235289\pi\)
\(702\) −2.29602 + 10.0595i −0.0866579 + 0.379673i
\(703\) −7.83558 3.77342i −0.295525 0.142317i
\(704\) −2.98129 3.73842i −0.112362 0.140897i
\(705\) 3.24342 + 4.06712i 0.122154 + 0.153177i
\(706\) −1.99522 8.74163i −0.0750911 0.328995i
\(707\) 3.50853 + 1.68962i 0.131952 + 0.0635447i
\(708\) −38.8678 + 18.7177i −1.46074 + 0.703455i
\(709\) 9.31825 + 40.8259i 0.349954 + 1.53325i 0.777282 + 0.629152i \(0.216598\pi\)
−0.427328 + 0.904097i \(0.640545\pi\)
\(710\) −5.39659 23.6440i −0.202530 0.887343i
\(711\) 13.6143 6.55632i 0.510578 0.245881i
\(712\) −71.3242 34.3479i −2.67299 1.28724i
\(713\) 11.4800 + 50.2974i 0.429931 + 1.88365i
\(714\) −6.65212 8.34149i −0.248949 0.312172i
\(715\) −1.71465 2.15010i −0.0641243 0.0804093i
\(716\) 2.61188 + 1.25782i 0.0976105 + 0.0470068i
\(717\) −5.56570 + 24.3849i −0.207855 + 0.910673i
\(718\) 22.7313 28.5042i 0.848325 1.06377i
\(719\) −6.61786 + 28.9948i −0.246805 + 1.08132i 0.687875 + 0.725830i \(0.258544\pi\)
−0.934679 + 0.355492i \(0.884313\pi\)
\(720\) −12.1001 + 5.82712i −0.450945 + 0.217164i
\(721\) 0.120922 + 0.151632i 0.00450339 + 0.00564707i
\(722\) 42.4453 20.4406i 1.57965 0.760719i
\(723\) −22.1940 + 27.8304i −0.825404 + 1.03502i
\(724\) −28.2080 −1.04834
\(725\) −0.434870 −0.0161507
\(726\) −1.10393 + 1.38428i −0.0409707 + 0.0513756i
\(727\) −9.80844 4.72349i −0.363775 0.175185i 0.243063 0.970011i \(-0.421848\pi\)
−0.606838 + 0.794826i \(0.707562\pi\)
\(728\) −3.62669 15.8896i −0.134414 0.588907i
\(729\) −5.26707 + 23.0766i −0.195077 + 0.854687i
\(730\) −36.0051 −1.33261
\(731\) 4.39752 4.86434i 0.162648 0.179914i
\(732\) −9.03654 −0.334000
\(733\) 1.91977 8.41107i 0.0709084 0.310670i −0.927019 0.375013i \(-0.877638\pi\)
0.997928 + 0.0643434i \(0.0204953\pi\)
\(734\) −8.57678 37.5773i −0.316575 1.38701i
\(735\) 5.84338 + 2.81402i 0.215536 + 0.103797i
\(736\) −28.5138 + 35.7552i −1.05103 + 1.31796i
\(737\) 6.70695 0.247054
\(738\) −45.8342 −1.68718
\(739\) 22.3057 27.9705i 0.820529 1.02891i −0.178459 0.983947i \(-0.557111\pi\)
0.998989 0.0449640i \(-0.0143173\pi\)
\(740\) 53.2974 25.6667i 1.95925 0.943525i
\(741\) −0.436538 0.547401i −0.0160366 0.0201093i
\(742\) 30.2072 14.5470i 1.10894 0.534038i
\(743\) 1.13973 4.99349i 0.0418127 0.183194i −0.949709 0.313133i \(-0.898621\pi\)
0.991522 + 0.129940i \(0.0414784\pi\)
\(744\) 37.3030 46.7765i 1.36759 1.71491i
\(745\) 4.83562 21.1862i 0.177163 0.776203i
\(746\) 7.65154 + 3.68479i 0.280143 + 0.134910i
\(747\) −11.7244 14.7020i −0.428975 0.537917i
\(748\) −9.19168 11.5260i −0.336081 0.421433i
\(749\) 10.8359 + 47.4751i 0.395934 + 1.73470i
\(750\) −28.4962 13.7230i −1.04053 0.501094i
\(751\) −25.6645 + 12.3594i −0.936510 + 0.450999i −0.838937 0.544229i \(-0.816822\pi\)
−0.0975731 + 0.995228i \(0.531108\pi\)
\(752\) 6.23797 + 27.3303i 0.227475 + 0.996635i
\(753\) −1.70690 7.47843i −0.0622030 0.272529i
\(754\) 0.201337 0.0969590i 0.00733228 0.00353104i
\(755\) −8.50261 4.09464i −0.309442 0.149019i
\(756\) −19.0180 83.3233i −0.691678 3.03044i
\(757\) −24.7397 31.0226i −0.899179 1.12753i −0.991278 0.131784i \(-0.957929\pi\)
0.0920999 0.995750i \(-0.470642\pi\)
\(758\) 1.55846 + 1.95425i 0.0566059