Properties

Label 392.2.z.a.37.8
Level $392$
Weight $2$
Character 392.37
Analytic conductor $3.130$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 392 = 2^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 392.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.13013575923\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 37.8
Character \(\chi\) \(=\) 392.37
Dual form 392.2.z.a.53.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.26332 + 0.635636i) q^{2} +(1.08411 + 1.16839i) q^{3} +(1.19193 - 1.60602i) q^{4} +(-0.529378 + 1.71620i) q^{5} +(-2.11224 - 0.786948i) q^{6} +(-2.34752 + 1.22032i) q^{7} +(-0.484943 + 2.78654i) q^{8} +(0.0343439 - 0.458288i) q^{9} +O(q^{10})\) \(q+(-1.26332 + 0.635636i) q^{2} +(1.08411 + 1.16839i) q^{3} +(1.19193 - 1.60602i) q^{4} +(-0.529378 + 1.71620i) q^{5} +(-2.11224 - 0.786948i) q^{6} +(-2.34752 + 1.22032i) q^{7} +(-0.484943 + 2.78654i) q^{8} +(0.0343439 - 0.458288i) q^{9} +(-0.422109 - 2.50460i) q^{10} +(-4.71137 + 0.353068i) q^{11} +(3.16864 - 0.348455i) q^{12} +(-0.558298 + 1.15932i) q^{13} +(2.18998 - 3.03381i) q^{14} +(-2.57910 + 1.24203i) q^{15} +(-1.15859 - 3.82853i) q^{16} +(-3.60762 - 0.543762i) q^{17} +(0.247917 + 0.600792i) q^{18} +(4.74129 + 2.73738i) q^{19} +(2.12527 + 2.89579i) q^{20} +(-3.97077 - 1.41986i) q^{21} +(5.72752 - 3.44075i) q^{22} +(-7.55176 + 1.13824i) q^{23} +(-3.78150 + 2.45431i) q^{24} +(1.46609 + 0.999561i) q^{25} +(-0.0315979 - 1.81946i) q^{26} +(4.31111 - 3.43799i) q^{27} +(-0.838231 + 5.22469i) q^{28} +(6.72404 + 5.36224i) q^{29} +(2.46874 - 3.20844i) q^{30} +(-0.368485 - 0.638234i) q^{31} +(3.89722 + 4.10020i) q^{32} +(-5.52016 - 5.12196i) q^{33} +(4.90320 - 1.60619i) q^{34} +(-0.851585 - 4.67482i) q^{35} +(-0.695083 - 0.601405i) q^{36} +(-6.57534 + 2.58063i) q^{37} +(-7.72973 - 0.444445i) q^{38} +(-1.95979 + 0.604515i) q^{39} +(-4.52555 - 2.30740i) q^{40} +(-1.11229 - 4.87325i) q^{41} +(5.91885 - 0.730231i) q^{42} +(-0.167094 - 0.0381381i) q^{43} +(-5.04860 + 7.98738i) q^{44} +(0.768333 + 0.301549i) q^{45} +(8.81675 - 6.23814i) q^{46} +(-8.06065 + 5.49566i) q^{47} +(3.21718 - 5.50423i) q^{48} +(4.02166 - 5.72942i) q^{49} +(-2.48749 - 0.330863i) q^{50} +(-3.27573 - 4.80461i) q^{51} +(1.19643 + 2.27847i) q^{52} +(1.16683 + 0.457945i) q^{53} +(-3.26098 + 7.08357i) q^{54} +(1.88816 - 8.27257i) q^{55} +(-2.26205 - 7.13324i) q^{56} +(1.94174 + 8.50730i) q^{57} +(-11.9030 - 2.50016i) q^{58} +(-0.0541481 - 0.175544i) q^{59} +(-1.07939 + 5.62249i) q^{60} +(6.56223 - 2.57549i) q^{61} +(0.871197 + 0.572069i) q^{62} +(0.478633 + 1.11775i) q^{63} +(-7.52966 - 2.70263i) q^{64} +(-1.69407 - 1.57187i) q^{65} +(10.2294 + 2.96183i) q^{66} +(-10.3484 + 5.97464i) q^{67} +(-5.17334 + 5.14578i) q^{68} +(-9.51684 - 7.58943i) q^{69} +(4.04730 + 5.36447i) q^{70} +(8.89597 + 11.1552i) q^{71} +(1.26038 + 0.317945i) q^{72} +(3.14522 + 2.14437i) q^{73} +(6.66639 - 7.43968i) q^{74} +(0.421519 + 2.79659i) q^{75} +(10.0476 - 4.35182i) q^{76} +(10.6292 - 6.57819i) q^{77} +(2.09158 - 2.00941i) q^{78} +(-0.347223 + 0.601408i) q^{79} +(7.18387 + 0.0383632i) q^{80} +(7.32731 + 1.10441i) q^{81} +(4.50278 + 5.44944i) q^{82} +(5.85761 + 12.1635i) q^{83} +(-7.01321 + 4.68475i) q^{84} +(2.84300 - 5.90355i) q^{85} +(0.235335 - 0.0580306i) q^{86} +(1.02439 + 13.6696i) q^{87} +(1.30091 - 13.2997i) q^{88} +(0.439562 - 5.86555i) q^{89} +(-1.16232 + 0.107430i) q^{90} +(-0.104120 - 3.40282i) q^{91} +(-7.17315 + 13.4850i) q^{92} +(0.346229 - 1.12245i) q^{93} +(6.68991 - 12.0664i) q^{94} +(-7.20784 + 6.68790i) q^{95} +(-0.565627 + 8.99854i) q^{96} +14.1075 q^{97} +(-1.43880 + 9.79438i) q^{98} +2.17129i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} - 6 q^{10} - 47 q^{12} - 33 q^{14} - 8 q^{15} - 17 q^{16} - 26 q^{17} - 8 q^{18} - 22 q^{20} - 18 q^{22} - 26 q^{23} - 74 q^{24} - 72 q^{25} - 12 q^{26} + 2 q^{28} - 11 q^{30} + 60 q^{31} - 13 q^{32} - 14 q^{33} - 18 q^{34} + 8 q^{36} - 46 q^{38} - 32 q^{39} + 32 q^{40} - 20 q^{41} - 36 q^{42} + 38 q^{44} - 22 q^{46} - 58 q^{47} + 28 q^{48} - 16 q^{49} - 132 q^{50} + 18 q^{52} - 37 q^{54} - 32 q^{55} + 96 q^{56} - 66 q^{57} + 100 q^{60} + 28 q^{62} - 72 q^{63} - 28 q^{64} - 36 q^{65} - 4 q^{66} - 11 q^{68} - 36 q^{70} + 60 q^{71} - 130 q^{72} - 18 q^{73} - 12 q^{74} + 11 q^{76} - 132 q^{78} - 12 q^{79} - 64 q^{80} - 58 q^{81} + 152 q^{82} - 224 q^{84} + 55 q^{86} - 8 q^{87} - 169 q^{88} - 18 q^{89} + 144 q^{90} - 54 q^{92} + 154 q^{94} - 64 q^{95} - 142 q^{96} - 96 q^{97} + 151 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(297\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{16}{21}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.26332 + 0.635636i −0.893299 + 0.449463i
\(3\) 1.08411 + 1.16839i 0.625910 + 0.674571i 0.963803 0.266614i \(-0.0859048\pi\)
−0.337893 + 0.941184i \(0.609714\pi\)
\(4\) 1.19193 1.60602i 0.595966 0.803009i
\(5\) −0.529378 + 1.71620i −0.236745 + 0.767509i 0.756757 + 0.653696i \(0.226783\pi\)
−0.993502 + 0.113813i \(0.963694\pi\)
\(6\) −2.11224 0.786948i −0.862319 0.321270i
\(7\) −2.34752 + 1.22032i −0.887277 + 0.461236i
\(8\) −0.484943 + 2.78654i −0.171453 + 0.985192i
\(9\) 0.0343439 0.458288i 0.0114480 0.152763i
\(10\) −0.422109 2.50460i −0.133482 0.792023i
\(11\) −4.71137 + 0.353068i −1.42053 + 0.106454i −0.762720 0.646729i \(-0.776137\pi\)
−0.657811 + 0.753183i \(0.728518\pi\)
\(12\) 3.16864 0.348455i 0.914708 0.100590i
\(13\) −0.558298 + 1.15932i −0.154844 + 0.321537i −0.963931 0.266152i \(-0.914248\pi\)
0.809087 + 0.587689i \(0.199962\pi\)
\(14\) 2.18998 3.03381i 0.585296 0.810820i
\(15\) −2.57910 + 1.24203i −0.665920 + 0.320690i
\(16\) −1.15859 3.82853i −0.289648 0.957133i
\(17\) −3.60762 0.543762i −0.874977 0.131882i −0.303827 0.952727i \(-0.598265\pi\)
−0.571150 + 0.820846i \(0.693503\pi\)
\(18\) 0.247917 + 0.600792i 0.0584346 + 0.141608i
\(19\) 4.74129 + 2.73738i 1.08773 + 0.627999i 0.932970 0.359954i \(-0.117207\pi\)
0.154756 + 0.987953i \(0.450541\pi\)
\(20\) 2.12527 + 2.89579i 0.475225 + 0.647518i
\(21\) −3.97077 1.41986i −0.866492 0.309839i
\(22\) 5.72752 3.44075i 1.22111 0.733571i
\(23\) −7.55176 + 1.13824i −1.57465 + 0.237340i −0.877497 0.479581i \(-0.840789\pi\)
−0.697154 + 0.716922i \(0.745550\pi\)
\(24\) −3.78150 + 2.45431i −0.771896 + 0.500984i
\(25\) 1.46609 + 0.999561i 0.293217 + 0.199912i
\(26\) −0.0315979 1.81946i −0.00619686 0.356825i
\(27\) 4.31111 3.43799i 0.829673 0.661642i
\(28\) −0.838231 + 5.22469i −0.158411 + 0.987373i
\(29\) 6.72404 + 5.36224i 1.24862 + 0.995744i 0.999629 + 0.0272387i \(0.00867144\pi\)
0.248994 + 0.968505i \(0.419900\pi\)
\(30\) 2.46874 3.20844i 0.450727 0.585779i
\(31\) −0.368485 0.638234i −0.0661818 0.114630i 0.831036 0.556219i \(-0.187748\pi\)
−0.897218 + 0.441589i \(0.854415\pi\)
\(32\) 3.89722 + 4.10020i 0.688938 + 0.724820i
\(33\) −5.52016 5.12196i −0.960936 0.891618i
\(34\) 4.90320 1.60619i 0.840892 0.275460i
\(35\) −0.851585 4.67482i −0.143944 0.790189i
\(36\) −0.695083 0.601405i −0.115847 0.100234i
\(37\) −6.57534 + 2.58063i −1.08098 + 0.424253i −0.837940 0.545763i \(-0.816240\pi\)
−0.243040 + 0.970016i \(0.578145\pi\)
\(38\) −7.72973 0.444445i −1.25393 0.0720985i
\(39\) −1.95979 + 0.604515i −0.313818 + 0.0967999i
\(40\) −4.52555 2.30740i −0.715553 0.364831i
\(41\) −1.11229 4.87325i −0.173710 0.761074i −0.984450 0.175667i \(-0.943792\pi\)
0.810740 0.585407i \(-0.199065\pi\)
\(42\) 5.91885 0.730231i 0.913298 0.112677i
\(43\) −0.167094 0.0381381i −0.0254816 0.00581601i 0.209761 0.977753i \(-0.432731\pi\)
−0.235243 + 0.971937i \(0.575589\pi\)
\(44\) −5.04860 + 7.98738i −0.761105 + 1.20414i
\(45\) 0.768333 + 0.301549i 0.114536 + 0.0449522i
\(46\) 8.81675 6.23814i 1.29996 0.919763i
\(47\) −8.06065 + 5.49566i −1.17577 + 0.801624i −0.983711 0.179760i \(-0.942468\pi\)
−0.192056 + 0.981384i \(0.561516\pi\)
\(48\) 3.21718 5.50423i 0.464360 0.794467i
\(49\) 4.02166 5.72942i 0.574523 0.818489i
\(50\) −2.48749 0.330863i −0.351784 0.0467911i
\(51\) −3.27573 4.80461i −0.458694 0.672780i
\(52\) 1.19643 + 2.27847i 0.165915 + 0.315966i
\(53\) 1.16683 + 0.457945i 0.160276 + 0.0629036i 0.444123 0.895966i \(-0.353515\pi\)
−0.283847 + 0.958870i \(0.591611\pi\)
\(54\) −3.26098 + 7.08357i −0.443763 + 0.963952i
\(55\) 1.88816 8.27257i 0.254599 1.11547i
\(56\) −2.26205 7.13324i −0.302279 0.953219i
\(57\) 1.94174 + 8.50730i 0.257189 + 1.12682i
\(58\) −11.9030 2.50016i −1.56294 0.328287i
\(59\) −0.0541481 0.175544i −0.00704949 0.0228539i 0.951980 0.306161i \(-0.0990446\pi\)
−0.959029 + 0.283307i \(0.908568\pi\)
\(60\) −1.07939 + 5.62249i −0.139349 + 0.725861i
\(61\) 6.56223 2.57549i 0.840208 0.329757i 0.0940839 0.995564i \(-0.470008\pi\)
0.746124 + 0.665807i \(0.231913\pi\)
\(62\) 0.871197 + 0.572069i 0.110642 + 0.0726528i
\(63\) 0.478633 + 1.11775i 0.0603021 + 0.140823i
\(64\) −7.52966 2.70263i −0.941207 0.337829i
\(65\) −1.69407 1.57187i −0.210124 0.194966i
\(66\) 10.2294 + 2.96183i 1.25915 + 0.364577i
\(67\) −10.3484 + 5.97464i −1.26426 + 0.729919i −0.973895 0.226998i \(-0.927109\pi\)
−0.290361 + 0.956917i \(0.593776\pi\)
\(68\) −5.17334 + 5.14578i −0.627359 + 0.624018i
\(69\) −9.51684 7.58943i −1.14569 0.913660i
\(70\) 4.04730 + 5.36447i 0.483745 + 0.641177i
\(71\) 8.89597 + 11.1552i 1.05576 + 1.32388i 0.943929 + 0.330150i \(0.107099\pi\)
0.111828 + 0.993728i \(0.464329\pi\)
\(72\) 1.26038 + 0.317945i 0.148538 + 0.0374701i
\(73\) 3.14522 + 2.14437i 0.368120 + 0.250980i 0.733225 0.679986i \(-0.238014\pi\)
−0.365105 + 0.930967i \(0.618967\pi\)
\(74\) 6.66639 7.43968i 0.774952 0.864845i
\(75\) 0.421519 + 2.79659i 0.0486728 + 0.322923i
\(76\) 10.0476 4.35182i 1.15254 0.499188i
\(77\) 10.6292 6.57819i 1.21130 0.749654i
\(78\) 2.09158 2.00941i 0.236825 0.227521i
\(79\) −0.347223 + 0.601408i −0.0390657 + 0.0676637i −0.884897 0.465786i \(-0.845771\pi\)
0.845831 + 0.533450i \(0.179105\pi\)
\(80\) 7.18387 + 0.0383632i 0.803181 + 0.00428914i
\(81\) 7.32731 + 1.10441i 0.814146 + 0.122713i
\(82\) 4.50278 + 5.44944i 0.497249 + 0.601790i
\(83\) 5.85761 + 12.1635i 0.642956 + 1.33511i 0.926551 + 0.376168i \(0.122759\pi\)
−0.283595 + 0.958944i \(0.591527\pi\)
\(84\) −7.01321 + 4.68475i −0.765204 + 0.511148i
\(85\) 2.84300 5.90355i 0.308367 0.640330i
\(86\) 0.235335 0.0580306i 0.0253768 0.00625760i
\(87\) 1.02439 + 13.6696i 0.109826 + 1.46553i
\(88\) 1.30091 13.2997i 0.138677 1.41775i
\(89\) 0.439562 5.86555i 0.0465935 0.621747i −0.924212 0.381879i \(-0.875277\pi\)
0.970806 0.239867i \(-0.0771040\pi\)
\(90\) −1.16232 + 0.107430i −0.122520 + 0.0113241i
\(91\) −0.104120 3.40282i −0.0109148 0.356712i
\(92\) −7.17315 + 13.4850i −0.747852 + 1.40591i
\(93\) 0.346229 1.12245i 0.0359023 0.116392i
\(94\) 6.68991 12.0664i 0.690011 1.24455i
\(95\) −7.20784 + 6.68790i −0.739509 + 0.686164i
\(96\) −0.565627 + 8.99854i −0.0577291 + 0.918410i
\(97\) 14.1075 1.43240 0.716200 0.697895i \(-0.245880\pi\)
0.716200 + 0.697895i \(0.245880\pi\)
\(98\) −1.43880 + 9.79438i −0.145340 + 0.989382i
\(99\) 2.17129i 0.218223i
\(100\) 3.35279 1.16315i 0.335279 0.116315i
\(101\) 5.65948 + 6.09947i 0.563139 + 0.606920i 0.948861 0.315695i \(-0.102238\pi\)
−0.385721 + 0.922615i \(0.626047\pi\)
\(102\) 7.19226 + 3.98757i 0.712140 + 0.394828i
\(103\) −3.45678 1.06628i −0.340607 0.105063i 0.119733 0.992806i \(-0.461796\pi\)
−0.460340 + 0.887743i \(0.652272\pi\)
\(104\) −2.95975 2.11793i −0.290227 0.207680i
\(105\) 4.53880 6.06299i 0.442942 0.591687i
\(106\) −1.76516 + 0.163147i −0.171447 + 0.0158463i
\(107\) 16.9460 + 1.26993i 1.63824 + 0.122769i 0.861739 0.507352i \(-0.169376\pi\)
0.776497 + 0.630121i \(0.216995\pi\)
\(108\) −0.382932 11.0216i −0.0368476 1.06055i
\(109\) 5.34912 0.400861i 0.512353 0.0383955i 0.183954 0.982935i \(-0.441110\pi\)
0.328399 + 0.944539i \(0.393491\pi\)
\(110\) 2.87300 + 11.6510i 0.273930 + 1.11088i
\(111\) −10.1436 4.88488i −0.962785 0.463653i
\(112\) 7.39183 + 7.57369i 0.698463 + 0.715647i
\(113\) 0.136045 0.0655158i 0.0127980 0.00616320i −0.427474 0.904028i \(-0.640596\pi\)
0.440272 + 0.897865i \(0.354882\pi\)
\(114\) −7.86057 9.51317i −0.736210 0.890990i
\(115\) 2.04428 13.5629i 0.190630 1.26475i
\(116\) 16.6265 4.40750i 1.54373 0.409226i
\(117\) 0.512127 + 0.295677i 0.0473462 + 0.0273353i
\(118\) 0.179988 + 0.187349i 0.0165693 + 0.0172469i
\(119\) 9.13251 3.12595i 0.837176 0.286555i
\(120\) −2.21025 7.78908i −0.201767 0.711043i
\(121\) 11.1952 1.68741i 1.01775 0.153400i
\(122\) −6.65310 + 7.42485i −0.602343 + 0.672214i
\(123\) 4.48802 6.58271i 0.404671 0.593543i
\(124\) −1.46422 0.168939i −0.131491 0.0151712i
\(125\) −9.51238 + 7.58587i −0.850813 + 0.678501i
\(126\) −1.31515 1.10783i −0.117163 0.0986935i
\(127\) 7.58090 9.50614i 0.672696 0.843534i −0.321963 0.946752i \(-0.604343\pi\)
0.994659 + 0.103218i \(0.0329141\pi\)
\(128\) 11.2302 1.37185i 0.992621 0.121255i
\(129\) −0.136588 0.236577i −0.0120259 0.0208295i
\(130\) 3.13928 + 0.908953i 0.275334 + 0.0797205i
\(131\) −13.9506 + 15.0352i −1.21887 + 1.31363i −0.283925 + 0.958847i \(0.591637\pi\)
−0.934948 + 0.354786i \(0.884554\pi\)
\(132\) −14.8056 + 2.76045i −1.28866 + 0.240266i
\(133\) −14.4707 0.640183i −1.25477 0.0555109i
\(134\) 9.27558 14.1257i 0.801288 1.22027i
\(135\) 3.61809 + 9.21873i 0.311395 + 0.793422i
\(136\) 3.26471 9.78911i 0.279947 0.839409i
\(137\) −2.48412 + 0.766250i −0.212233 + 0.0654651i −0.399048 0.916930i \(-0.630659\pi\)
0.186816 + 0.982395i \(0.440183\pi\)
\(138\) 16.8469 + 3.53859i 1.43410 + 0.301225i
\(139\) −13.2218 + 3.01779i −1.12146 + 0.255965i −0.742761 0.669556i \(-0.766484\pi\)
−0.378695 + 0.925521i \(0.623627\pi\)
\(140\) −8.52288 4.20441i −0.720315 0.355337i
\(141\) −15.1597 3.46010i −1.27668 0.291393i
\(142\) −18.3291 8.43792i −1.53814 0.708095i
\(143\) 2.22103 5.65909i 0.185732 0.473237i
\(144\) −1.79436 + 0.399482i −0.149530 + 0.0332902i
\(145\) −12.7623 + 8.70116i −1.05985 + 0.722592i
\(146\) −5.33645 0.709806i −0.441648 0.0587439i
\(147\) 11.0541 1.51244i 0.911728 0.124744i
\(148\) −3.69282 + 13.6361i −0.303548 + 1.12088i
\(149\) −5.73660 8.41404i −0.469960 0.689305i 0.515943 0.856623i \(-0.327442\pi\)
−0.985903 + 0.167318i \(0.946489\pi\)
\(150\) −2.31013 3.26505i −0.188621 0.266590i
\(151\) −1.52307 + 3.88071i −0.123945 + 0.315808i −0.979356 0.202143i \(-0.935210\pi\)
0.855411 + 0.517950i \(0.173305\pi\)
\(152\) −9.92710 + 11.8843i −0.805194 + 0.963947i
\(153\) −0.373099 + 1.63466i −0.0301633 + 0.132154i
\(154\) −9.24664 + 15.0666i −0.745116 + 1.21410i
\(155\) 1.29041 0.294527i 0.103648 0.0236570i
\(156\) −1.36508 + 3.86800i −0.109294 + 0.309688i
\(157\) −0.368243 1.19382i −0.0293890 0.0952768i 0.939690 0.342027i \(-0.111113\pi\)
−0.969079 + 0.246750i \(0.920637\pi\)
\(158\) 0.0563756 0.980476i 0.00448500 0.0780025i
\(159\) 0.729906 + 1.85977i 0.0578853 + 0.147489i
\(160\) −9.09988 + 4.51786i −0.719409 + 0.357168i
\(161\) 16.3389 11.8876i 1.28768 0.936873i
\(162\) −9.95871 + 3.26228i −0.782430 + 0.256309i
\(163\) −8.82868 + 9.51506i −0.691516 + 0.745277i −0.977031 0.213097i \(-0.931645\pi\)
0.285515 + 0.958374i \(0.407835\pi\)
\(164\) −9.15230 4.02223i −0.714675 0.314083i
\(165\) 11.7126 6.76225i 0.911821 0.526440i
\(166\) −15.1315 11.6430i −1.17444 0.903670i
\(167\) 11.4133 14.3119i 0.883191 1.10749i −0.110337 0.993894i \(-0.535193\pi\)
0.993528 0.113592i \(-0.0362356\pi\)
\(168\) 5.88210 10.3762i 0.453814 0.800538i
\(169\) 7.07305 + 8.86932i 0.544081 + 0.682255i
\(170\) 0.160905 + 9.26517i 0.0123409 + 0.710606i
\(171\) 1.41734 2.07886i 0.108387 0.158975i
\(172\) −0.260416 + 0.222898i −0.0198565 + 0.0169958i
\(173\) −3.33164 22.1040i −0.253300 1.68054i −0.647932 0.761698i \(-0.724366\pi\)
0.394632 0.918839i \(-0.370872\pi\)
\(174\) −9.98300 16.6178i −0.756809 1.25979i
\(175\) −4.66144 0.557396i −0.352372 0.0421352i
\(176\) 6.81029 + 17.6286i 0.513345 + 1.32880i
\(177\) 0.146401 0.253575i 0.0110042 0.0190598i
\(178\) 3.17305 + 7.68944i 0.237830 + 0.576348i
\(179\) −0.565149 + 3.74952i −0.0422412 + 0.280252i −0.999973 0.00741200i \(-0.997641\pi\)
0.957731 + 0.287664i \(0.0928788\pi\)
\(180\) 1.40009 0.874532i 0.104357 0.0651838i
\(181\) 2.17360 + 4.51353i 0.161563 + 0.335488i 0.965997 0.258553i \(-0.0832458\pi\)
−0.804434 + 0.594041i \(0.797532\pi\)
\(182\) 2.29449 + 4.23265i 0.170079 + 0.313745i
\(183\) 10.1233 + 4.87515i 0.748339 + 0.360381i
\(184\) 0.490407 21.5953i 0.0361533 1.59203i
\(185\) −0.948042 12.6507i −0.0697014 0.930101i
\(186\) 0.276072 + 1.63808i 0.0202426 + 0.120110i
\(187\) 17.1888 + 1.28812i 1.25697 + 0.0941970i
\(188\) −0.781623 + 19.4960i −0.0570057 + 1.42189i
\(189\) −5.92496 + 13.3317i −0.430977 + 0.969736i
\(190\) 4.85471 13.0305i 0.352197 0.945331i
\(191\) −9.41485 2.90410i −0.681234 0.210133i −0.0652235 0.997871i \(-0.520776\pi\)
−0.616011 + 0.787738i \(0.711252\pi\)
\(192\) −5.00523 11.7275i −0.361222 0.846362i
\(193\) 0.106231 0.0985677i 0.00764665 0.00709506i −0.676340 0.736589i \(-0.736435\pi\)
0.683987 + 0.729494i \(0.260245\pi\)
\(194\) −17.8222 + 8.96724i −1.27956 + 0.643810i
\(195\) 3.68341i 0.263775i
\(196\) −4.40801 13.2879i −0.314858 0.949139i
\(197\) 4.71073i 0.335626i 0.985819 + 0.167813i \(0.0536705\pi\)
−0.985819 + 0.167813i \(0.946330\pi\)
\(198\) −1.38015 2.74302i −0.0980830 0.194938i
\(199\) 4.52487 4.19846i 0.320759 0.297621i −0.503315 0.864103i \(-0.667886\pi\)
0.824074 + 0.566482i \(0.191696\pi\)
\(200\) −3.49629 + 3.60059i −0.247225 + 0.254600i
\(201\) −18.1995 5.61380i −1.28369 0.395967i
\(202\) −11.0268 4.10818i −0.775840 0.289051i
\(203\) −22.3284 4.38250i −1.56715 0.307591i
\(204\) −11.6207 0.465892i −0.813615 0.0326190i
\(205\) 8.95230 + 0.670882i 0.625256 + 0.0468564i
\(206\) 5.04477 0.850213i 0.351486 0.0592372i
\(207\) 0.262287 + 3.49997i 0.0182302 + 0.243265i
\(208\) 5.08532 + 0.794285i 0.352604 + 0.0550738i
\(209\) −23.3044 11.2228i −1.61200 0.776299i
\(210\) −1.88008 + 10.5445i −0.129738 + 0.727640i
\(211\) 3.58316 + 7.44050i 0.246675 + 0.512225i 0.987138 0.159872i \(-0.0511081\pi\)
−0.740463 + 0.672097i \(0.765394\pi\)
\(212\) 2.12625 1.32810i 0.146031 0.0912145i
\(213\) −3.38943 + 22.4874i −0.232240 + 1.54081i
\(214\) −22.2154 + 9.16720i −1.51861 + 0.626657i
\(215\) 0.153909 0.266578i 0.0104965 0.0181805i
\(216\) 7.48948 + 13.6803i 0.509595 + 0.930829i
\(217\) 1.64387 + 1.04860i 0.111593 + 0.0711834i
\(218\) −6.50283 + 3.90651i −0.440427 + 0.264582i
\(219\) 0.904291 + 5.99958i 0.0611063 + 0.405414i
\(220\) −11.0353 12.8928i −0.744002 0.869230i
\(221\) 2.64452 3.87880i 0.177890 0.260916i
\(222\) 15.9195 0.276469i 1.06845 0.0185554i
\(223\) −11.3319 14.2097i −0.758838 0.951553i 0.240982 0.970530i \(-0.422530\pi\)
−0.999820 + 0.0189770i \(0.993959\pi\)
\(224\) −14.1523 4.86945i −0.945592 0.325354i
\(225\) 0.508438 0.637561i 0.0338959 0.0425041i
\(226\) −0.130223 + 0.169242i −0.00866233 + 0.0112578i
\(227\) 10.0579 5.80694i 0.667567 0.385420i −0.127587 0.991827i \(-0.540723\pi\)
0.795154 + 0.606407i \(0.207390\pi\)
\(228\) 15.9773 + 7.02167i 1.05812 + 0.465021i
\(229\) −3.23859 + 3.49037i −0.214012 + 0.230650i −0.830929 0.556378i \(-0.812191\pi\)
0.616918 + 0.787028i \(0.288381\pi\)
\(230\) 6.03851 + 18.4337i 0.398167 + 1.21548i
\(231\) 19.2091 + 5.28754i 1.26386 + 0.347894i
\(232\) −18.2029 + 16.1365i −1.19508 + 1.05941i
\(233\) 8.83993 + 22.5238i 0.579123 + 1.47558i 0.857180 + 0.515017i \(0.172214\pi\)
−0.278057 + 0.960565i \(0.589690\pi\)
\(234\) −0.834921 0.0480064i −0.0545805 0.00313828i
\(235\) −5.16453 16.7430i −0.336897 1.09219i
\(236\) −0.346468 0.122274i −0.0225531 0.00795934i
\(237\) −1.07911 + 0.246299i −0.0700956 + 0.0159989i
\(238\) −9.55028 + 9.75402i −0.619053 + 0.632259i
\(239\) 4.58150 20.0729i 0.296352 1.29841i −0.579162 0.815213i \(-0.696620\pi\)
0.875514 0.483192i \(-0.160523\pi\)
\(240\) 7.74327 + 8.43515i 0.499826 + 0.544487i
\(241\) −5.28494 + 13.4658i −0.340433 + 0.867409i 0.653450 + 0.756970i \(0.273321\pi\)
−0.993883 + 0.110439i \(0.964774\pi\)
\(242\) −13.0705 + 9.24780i −0.840203 + 0.594471i
\(243\) −2.66543 3.90946i −0.170987 0.250792i
\(244\) 3.68546 13.6089i 0.235937 0.871219i
\(245\) 7.70386 + 9.93501i 0.492182 + 0.634724i
\(246\) −1.48557 + 11.1688i −0.0947166 + 0.712096i
\(247\) −5.82055 + 3.96838i −0.370353 + 0.252502i
\(248\) 1.95716 0.717291i 0.124280 0.0455480i
\(249\) −7.86138 + 20.0305i −0.498195 + 1.26938i
\(250\) 7.19528 15.6298i 0.455070 0.988513i
\(251\) −14.9926 3.42195i −0.946322 0.215992i −0.278604 0.960406i \(-0.589872\pi\)
−0.667718 + 0.744414i \(0.732729\pi\)
\(252\) 2.36562 + 0.563587i 0.149020 + 0.0355027i
\(253\) 35.1773 8.02898i 2.21158 0.504778i
\(254\) −3.53461 + 16.8280i −0.221781 + 1.05588i
\(255\) 9.97978 3.07835i 0.624958 0.192774i
\(256\) −13.3153 + 8.87142i −0.832208 + 0.554464i
\(257\) −5.74227 14.6311i −0.358193 0.912661i −0.990446 0.137899i \(-0.955965\pi\)
0.632253 0.774762i \(-0.282130\pi\)
\(258\) 0.322931 + 0.212051i 0.0201048 + 0.0132017i
\(259\) 12.2865 14.0821i 0.763448 0.875017i
\(260\) −4.54367 + 0.847149i −0.281787 + 0.0525380i
\(261\) 2.68838 2.89739i 0.166407 0.179344i
\(262\) 8.06713 27.8617i 0.498389 1.72130i
\(263\) −6.77977 11.7429i −0.418059 0.724099i 0.577685 0.816259i \(-0.303956\pi\)
−0.995744 + 0.0921605i \(0.970623\pi\)
\(264\) 16.9495 12.8983i 1.04317 0.793835i
\(265\) −1.40362 + 1.76008i −0.0862236 + 0.108121i
\(266\) 18.6880 8.38937i 1.14584 0.514385i
\(267\) 7.32978 5.84531i 0.448575 0.357727i
\(268\) −2.73919 + 23.7411i −0.167323 + 1.45022i
\(269\) 0.673944 0.988494i 0.0410911 0.0602695i −0.805144 0.593080i \(-0.797912\pi\)
0.846235 + 0.532810i \(0.178864\pi\)
\(270\) −10.4305 9.34638i −0.634783 0.568803i
\(271\) 12.5924 1.89801i 0.764936 0.115296i 0.245026 0.969516i \(-0.421203\pi\)
0.519910 + 0.854221i \(0.325965\pi\)
\(272\) 2.09796 + 14.4419i 0.127207 + 0.875669i
\(273\) 3.86294 3.81067i 0.233796 0.230632i
\(274\) 2.65117 2.54701i 0.160163 0.153871i
\(275\) −7.26019 4.19167i −0.437806 0.252767i
\(276\) −23.5322 + 6.23814i −1.41647 + 0.375492i
\(277\) −3.17141 + 21.0409i −0.190552 + 1.26423i 0.665131 + 0.746726i \(0.268376\pi\)
−0.855683 + 0.517501i \(0.826863\pi\)
\(278\) 14.7851 12.2167i 0.886749 0.732707i
\(279\) −0.305150 + 0.146953i −0.0182689 + 0.00879782i
\(280\) 13.4396 0.105956i 0.803167 0.00633206i
\(281\) −4.99644 2.40616i −0.298063 0.143540i 0.278875 0.960327i \(-0.410038\pi\)
−0.576938 + 0.816788i \(0.695753\pi\)
\(282\) 21.3508 5.26485i 1.27142 0.313517i
\(283\) −17.5354 + 1.31410i −1.04237 + 0.0781149i −0.584896 0.811108i \(-0.698865\pi\)
−0.457474 + 0.889223i \(0.651246\pi\)
\(284\) 28.5188 0.990853i 1.69228 0.0587963i
\(285\) −15.6282 1.17117i −0.925732 0.0693740i
\(286\) 0.791263 + 8.56098i 0.0467883 + 0.506222i
\(287\) 8.55801 + 10.0827i 0.505164 + 0.595162i
\(288\) 2.01292 1.64523i 0.118612 0.0969463i
\(289\) −3.52547 1.08746i −0.207380 0.0639684i
\(290\) 10.5920 19.1045i 0.621983 1.12185i
\(291\) 15.2941 + 16.4831i 0.896554 + 0.966255i
\(292\) 7.19280 2.49533i 0.420927 0.146028i
\(293\) 3.23255i 0.188847i −0.995532 0.0944237i \(-0.969899\pi\)
0.995532 0.0944237i \(-0.0301008\pi\)
\(294\) −13.0035 + 8.93709i −0.758378 + 0.521222i
\(295\) 0.329934 0.0192095
\(296\) −4.00238 19.5739i −0.232633 1.13771i
\(297\) −19.0974 + 17.7198i −1.10814 + 1.02821i
\(298\) 12.5954 + 6.98320i 0.729632 + 0.404526i
\(299\) 2.89655 9.39037i 0.167512 0.543059i
\(300\) 4.99381 + 2.65639i 0.288317 + 0.153366i
\(301\) 0.438797 0.114378i 0.0252918 0.00659262i
\(302\) −0.542607 5.87068i −0.0312235 0.337820i
\(303\) −0.991074 + 13.2250i −0.0569357 + 0.759755i
\(304\) 4.98695 21.3237i 0.286021 1.22300i
\(305\) 0.946152 + 12.6255i 0.0541765 + 0.722935i
\(306\) −0.567704 2.30224i −0.0324535 0.131610i
\(307\) 13.2248 27.4615i 0.754777 1.56731i −0.0671668 0.997742i \(-0.521396\pi\)
0.821944 0.569569i \(-0.192890\pi\)
\(308\) 2.10454 24.9114i 0.119917 1.41946i
\(309\) −2.50170 5.19483i −0.142317 0.295524i
\(310\) −1.44298 + 1.19231i −0.0819556 + 0.0677186i
\(311\) 4.24097 + 0.639223i 0.240483 + 0.0362470i 0.268178 0.963369i \(-0.413578\pi\)
−0.0276946 + 0.999616i \(0.508817\pi\)
\(312\) −0.734122 5.75420i −0.0415614 0.325767i
\(313\) 10.8903 18.8625i 0.615556 1.06617i −0.374731 0.927134i \(-0.622265\pi\)
0.990287 0.139041i \(-0.0444019\pi\)
\(314\) 1.22404 + 1.27410i 0.0690766 + 0.0719014i
\(315\) −2.17166 + 0.229719i −0.122359 + 0.0129432i
\(316\) 0.552006 + 1.27449i 0.0310528 + 0.0716954i
\(317\) −0.828649 5.49772i −0.0465415 0.308783i −0.999974 0.00717713i \(-0.997715\pi\)
0.953433 0.301606i \(-0.0975227\pi\)
\(318\) −2.10424 1.88552i −0.118000 0.105735i
\(319\) −33.5727 22.8895i −1.87971 1.28156i
\(320\) 8.62430 11.4917i 0.482113 0.642406i
\(321\) 16.8876 + 21.1763i 0.942572 + 1.18195i
\(322\) −13.0850 + 25.4033i −0.729196 + 1.41567i
\(323\) −15.6163 12.4536i −0.868914 0.692936i
\(324\) 10.5074 10.4514i 0.583743 0.580634i
\(325\) −1.97732 + 1.14161i −0.109682 + 0.0633250i
\(326\) 5.10530 17.6324i 0.282756 0.976566i
\(327\) 6.26739 + 5.81529i 0.346587 + 0.321586i
\(328\) 14.1189 0.736188i 0.779587 0.0406492i
\(329\) 12.2161 22.7377i 0.673493 1.25357i
\(330\) −10.4983 + 15.9878i −0.577914 + 0.880098i
\(331\) 9.19726 3.60966i 0.505527 0.198405i −0.0988511 0.995102i \(-0.531517\pi\)
0.604378 + 0.796697i \(0.293422\pi\)
\(332\) 26.5166 + 5.09059i 1.45529 + 0.279382i
\(333\) 0.956849 + 3.10203i 0.0524350 + 0.169990i
\(334\) −5.32150 + 25.3351i −0.291180 + 1.38628i
\(335\) −4.77548 20.9228i −0.260913 1.14313i
\(336\) −0.835485 + 16.8472i −0.0455795 + 0.919093i
\(337\) −5.25632 + 23.0295i −0.286330 + 1.25449i 0.603190 + 0.797598i \(0.293896\pi\)
−0.889520 + 0.456897i \(0.848961\pi\)
\(338\) −14.5732 6.70887i −0.792675 0.364914i
\(339\) 0.224035 + 0.0879274i 0.0121679 + 0.00477556i
\(340\) −6.09255 11.6026i −0.330415 0.629237i
\(341\) 1.96141 + 2.87686i 0.106216 + 0.155790i
\(342\) −0.469153 + 3.52718i −0.0253689 + 0.190728i
\(343\) −2.44921 + 18.3576i −0.132245 + 0.991217i
\(344\) 0.187305 0.447120i 0.0100988 0.0241071i
\(345\) 18.0630 12.3151i 0.972479 0.663025i
\(346\) 18.2590 + 25.8066i 0.981612 + 1.38737i
\(347\) 13.5950 + 5.33566i 0.729820 + 0.286433i 0.701010 0.713152i \(-0.252733\pi\)
0.0288100 + 0.999585i \(0.490828\pi\)
\(348\) 23.1746 + 14.6480i 1.24229 + 0.785215i
\(349\) 2.20321 + 0.502869i 0.117935 + 0.0269179i 0.281081 0.959684i \(-0.409307\pi\)
−0.163146 + 0.986602i \(0.552164\pi\)
\(350\) 6.24317 2.25881i 0.333712 0.120739i
\(351\) 1.57884 + 6.91737i 0.0842725 + 0.369222i
\(352\) −19.8089 17.9416i −1.05582 0.956289i
\(353\) −12.6017 + 3.88711i −0.670722 + 0.206890i −0.611368 0.791347i \(-0.709380\pi\)
−0.0593540 + 0.998237i \(0.518904\pi\)
\(354\) −0.0237699 + 0.413403i −0.00126336 + 0.0219721i
\(355\) −23.8539 + 9.36196i −1.26603 + 0.496881i
\(356\) −8.89625 7.69728i −0.471500 0.407955i
\(357\) 13.5530 + 7.28148i 0.717299 + 0.385377i
\(358\) −1.66937 5.09606i −0.0882289 0.269335i
\(359\) 16.4052 + 15.2218i 0.865834 + 0.803377i 0.981808 0.189875i \(-0.0608084\pi\)
−0.115974 + 0.993252i \(0.536999\pi\)
\(360\) −1.21288 + 1.99476i −0.0639242 + 0.105133i
\(361\) 5.48655 + 9.50298i 0.288766 + 0.500157i
\(362\) −5.61491 4.32039i −0.295113 0.227075i
\(363\) 14.1084 + 11.2510i 0.740497 + 0.590526i
\(364\) −5.58909 3.88871i −0.292948 0.203824i
\(365\) −5.34519 + 4.26265i −0.279780 + 0.223117i
\(366\) −15.8878 + 0.275918i −0.830469 + 0.0144225i
\(367\) 14.7949 + 10.0870i 0.772288 + 0.526537i 0.884159 0.467186i \(-0.154732\pi\)
−0.111871 + 0.993723i \(0.535684\pi\)
\(368\) 13.1072 + 27.5934i 0.683261 + 1.43841i
\(369\) −2.27155 + 0.342381i −0.118252 + 0.0178237i
\(370\) 9.23895 + 15.3793i 0.480310 + 0.799530i
\(371\) −3.29798 + 0.348862i −0.171223 + 0.0181120i
\(372\) −1.38999 1.89393i −0.0720677 0.0981959i
\(373\) 0.355138 + 0.205039i 0.0183884 + 0.0106165i 0.509166 0.860668i \(-0.329954\pi\)
−0.490778 + 0.871285i \(0.663287\pi\)
\(374\) −22.5337 + 9.29854i −1.16519 + 0.480816i
\(375\) −19.1757 2.89027i −0.990229 0.149253i
\(376\) −11.4049 25.1264i −0.588165 1.29580i
\(377\) −9.97056 + 4.80157i −0.513510 + 0.247293i
\(378\) −0.988998 20.6082i −0.0508686 1.05997i
\(379\) −7.45061 + 15.4714i −0.382712 + 0.794710i 0.617256 + 0.786762i \(0.288244\pi\)
−0.999968 + 0.00794794i \(0.997470\pi\)
\(380\) 2.14963 + 19.5474i 0.110274 + 1.00276i
\(381\) 19.3254 1.44824i 0.990070 0.0741955i
\(382\) 13.7399 2.31563i 0.702993 0.118478i
\(383\) 0.169421 2.26077i 0.00865701 0.115520i −0.991201 0.132364i \(-0.957743\pi\)
0.999858 + 0.0168448i \(0.00536211\pi\)
\(384\) 13.7776 + 11.6341i 0.703087 + 0.593698i
\(385\) 5.66266 + 21.7241i 0.288596 + 1.10716i
\(386\) −0.0715497 + 0.192046i −0.00364178 + 0.00977489i
\(387\) −0.0232169 + 0.0752674i −0.00118018 + 0.00382606i
\(388\) 16.8152 22.6569i 0.853662 1.15023i
\(389\) −13.5528 14.6064i −0.687152 0.740574i 0.289079 0.957305i \(-0.406651\pi\)
−0.976231 + 0.216731i \(0.930460\pi\)
\(390\) 2.34131 + 4.65331i 0.118557 + 0.235630i
\(391\) 27.8628 1.40908
\(392\) 14.0150 + 13.9850i 0.707865 + 0.706348i
\(393\) −32.6910 −1.64904
\(394\) −2.99431 5.95114i −0.150851 0.299814i
\(395\) −0.848326 0.914278i −0.0426839 0.0460023i
\(396\) 3.48713 + 2.58803i 0.175235 + 0.130053i
\(397\) −7.69881 + 24.9589i −0.386392 + 1.25265i 0.528492 + 0.848938i \(0.322758\pi\)
−0.914885 + 0.403715i \(0.867719\pi\)
\(398\) −3.04764 + 8.18015i −0.152764 + 0.410034i
\(399\) −14.9398 17.6015i −0.747928 0.881177i
\(400\) 2.12826 6.77105i 0.106413 0.338552i
\(401\) −1.56320 + 20.8594i −0.0780623 + 1.04167i 0.811349 + 0.584562i \(0.198734\pi\)
−0.889411 + 0.457108i \(0.848885\pi\)
\(402\) 26.5600 4.47626i 1.32469 0.223255i
\(403\) 0.945640 0.0708659i 0.0471057 0.00353008i
\(404\) 16.5416 1.81907i 0.822975 0.0905023i
\(405\) −5.77432 + 11.9905i −0.286928 + 0.595812i
\(406\) 30.9935 8.65628i 1.53818 0.429604i
\(407\) 30.0677 14.4799i 1.49040 0.717740i
\(408\) 14.9768 6.79800i 0.741462 0.336551i
\(409\) −34.7495 5.23764i −1.71825 0.258985i −0.785333 0.619074i \(-0.787508\pi\)
−0.932918 + 0.360089i \(0.882746\pi\)
\(410\) −11.7360 + 4.84287i −0.579601 + 0.239172i
\(411\) −3.58833 2.07173i −0.176999 0.102191i
\(412\) −5.83271 + 4.28073i −0.287357 + 0.210896i
\(413\) 0.341333 + 0.346014i 0.0167959 + 0.0170263i
\(414\) −2.55606 4.25485i −0.125624 0.209114i
\(415\) −23.9758 + 3.61377i −1.17693 + 0.177393i
\(416\) −6.92925 + 2.22898i −0.339734 + 0.109285i
\(417\) −17.8598 12.1766i −0.874598 0.596291i
\(418\) 36.5745 0.635177i 1.78892 0.0310675i
\(419\) −11.1334 + 8.87857i −0.543901 + 0.433746i −0.856506 0.516137i \(-0.827370\pi\)
0.312605 + 0.949883i \(0.398798\pi\)
\(420\) −4.32733 14.5161i −0.211152 0.708312i
\(421\) −21.1272 16.8484i −1.02968 0.821139i −0.0456124 0.998959i \(-0.514524\pi\)
−0.984063 + 0.177820i \(0.943095\pi\)
\(422\) −9.25611 7.12212i −0.450580 0.346699i
\(423\) 2.24176 + 3.88284i 0.108998 + 0.188790i
\(424\) −1.84193 + 3.02933i −0.0894520 + 0.147117i
\(425\) −4.74557 4.40324i −0.230194 0.213589i
\(426\) −10.0119 30.5631i −0.485077 1.48079i
\(427\) −12.2620 + 14.0540i −0.593402 + 0.680120i
\(428\) 22.2381 25.7020i 1.07492 1.24235i
\(429\) 9.01986 3.54004i 0.435483 0.170915i
\(430\) −0.0249888 + 0.434602i −0.00120507 + 0.0209584i
\(431\) −5.66735 + 1.74814i −0.272986 + 0.0842052i −0.428226 0.903672i \(-0.640861\pi\)
0.155239 + 0.987877i \(0.450385\pi\)
\(432\) −18.1573 12.5220i −0.873593 0.602464i
\(433\) 3.66833 + 16.0720i 0.176289 + 0.772371i 0.983323 + 0.181867i \(0.0582140\pi\)
−0.807034 + 0.590504i \(0.798929\pi\)
\(434\) −2.74325 0.279805i −0.131680 0.0134311i
\(435\) −24.0020 5.47830i −1.15081 0.262665i
\(436\) 5.73200 9.06859i 0.274513 0.434307i
\(437\) −38.9209 15.2753i −1.86184 0.730718i
\(438\) −4.95596 7.00456i −0.236805 0.334691i
\(439\) 2.23769 1.52563i 0.106799 0.0728145i −0.508743 0.860919i \(-0.669890\pi\)
0.615542 + 0.788104i \(0.288937\pi\)
\(440\) 22.1362 + 9.27317i 1.05530 + 0.442081i
\(441\) −2.48760 2.03985i −0.118457 0.0971356i
\(442\) −0.875359 + 6.58110i −0.0416366 + 0.313031i
\(443\) 22.9280 + 33.6292i 1.08934 + 1.59777i 0.755510 + 0.655137i \(0.227389\pi\)
0.333831 + 0.942633i \(0.391658\pi\)
\(444\) −19.9357 + 10.4683i −0.946105 + 0.496804i
\(445\) 9.83377 + 3.85947i 0.466165 + 0.182956i
\(446\) 23.3479 + 10.7484i 1.10556 + 0.508952i
\(447\) 3.61180 15.8243i 0.170832 0.748464i
\(448\) 20.9741 2.84409i 0.990931 0.134371i
\(449\) −0.333083 1.45933i −0.0157192 0.0688702i 0.966460 0.256817i \(-0.0826738\pi\)
−0.982179 + 0.187947i \(0.939817\pi\)
\(450\) −0.237061 + 1.12862i −0.0111751 + 0.0532038i
\(451\) 6.96099 + 22.5670i 0.327780 + 1.06264i
\(452\) 0.0569368 0.296581i 0.00267808 0.0139500i
\(453\) −6.18536 + 2.42757i −0.290613 + 0.114057i
\(454\) −9.01522 + 13.7292i −0.423105 + 0.644342i
\(455\) 5.89504 + 1.62268i 0.276364 + 0.0760726i
\(456\) −24.6476 + 1.28517i −1.15423 + 0.0601838i
\(457\) −0.414336 0.384448i −0.0193818 0.0179837i 0.670422 0.741980i \(-0.266113\pi\)
−0.689804 + 0.723996i \(0.742303\pi\)
\(458\) 1.87275 6.46800i 0.0875080 0.302230i
\(459\) −17.4223 + 10.0588i −0.813204 + 0.469503i
\(460\) −19.3456 19.4492i −0.901995 0.906825i
\(461\) 14.0152 + 11.1768i 0.652754 + 0.520554i 0.892942 0.450172i \(-0.148637\pi\)
−0.240187 + 0.970727i \(0.577209\pi\)
\(462\) −27.6280 + 5.53014i −1.28537 + 0.257286i
\(463\) −6.61157 8.29064i −0.307266 0.385299i 0.604092 0.796915i \(-0.293536\pi\)
−0.911357 + 0.411616i \(0.864965\pi\)
\(464\) 12.7391 31.9559i 0.591398 1.48351i
\(465\) 1.74306 + 1.18840i 0.0808325 + 0.0551107i
\(466\) −25.4845 22.8357i −1.18055 1.05784i
\(467\) −1.69306 11.2327i −0.0783454 0.519788i −0.993238 0.116092i \(-0.962963\pi\)
0.914893 0.403696i \(-0.132275\pi\)
\(468\) 1.08528 0.470059i 0.0501672 0.0217285i
\(469\) 17.0020 26.6539i 0.785082 1.23076i
\(470\) 17.1669 + 17.8689i 0.791849 + 0.824231i
\(471\) 0.995627 1.72448i 0.0458761 0.0794597i
\(472\) 0.515420 0.0657573i 0.0237241 0.00302673i
\(473\) 0.800707 + 0.120687i 0.0368166 + 0.00554920i
\(474\) 1.20670 0.997074i 0.0554254 0.0457971i
\(475\) 4.21496 + 8.75245i 0.193396 + 0.401590i
\(476\) 5.86501 18.3929i 0.268822 0.843038i
\(477\) 0.249944 0.519014i 0.0114442 0.0237640i
\(478\) 6.97116 + 28.2705i 0.318853 + 1.29306i
\(479\) 0.162667 + 2.17064i 0.00743244 + 0.0991790i 0.999686 0.0250481i \(-0.00797390\pi\)
−0.992254 + 0.124227i \(0.960355\pi\)
\(480\) −15.1439 5.73436i −0.691220 0.261737i
\(481\) 0.679228 9.06367i 0.0309701 0.413268i
\(482\) −1.88281 20.3709i −0.0857596 0.927867i
\(483\) 31.6024 + 6.20275i 1.43796 + 0.282235i
\(484\) 10.6339 19.9910i 0.483360 0.908681i
\(485\) −7.46820 + 24.2113i −0.339114 + 1.09938i
\(486\) 5.85227 + 3.24464i 0.265464 + 0.147180i
\(487\) 13.8737 12.8729i 0.628678 0.583328i −0.300126 0.953900i \(-0.597029\pi\)
0.928804 + 0.370572i \(0.120838\pi\)
\(488\) 3.99440 + 19.5349i 0.180818 + 0.884304i
\(489\) −20.6886 −0.935569
\(490\) −16.0475 7.65420i −0.724950 0.345781i
\(491\) 27.3837i 1.23581i −0.786252 0.617905i \(-0.787981\pi\)
0.786252 0.617905i \(-0.212019\pi\)
\(492\) −5.22255 15.0540i −0.235451 0.678687i
\(493\) −21.3420 23.0012i −0.961197 1.03592i
\(494\) 4.83074 8.71307i 0.217345 0.392020i
\(495\) −3.72637 1.14943i −0.167488 0.0516632i
\(496\) −2.01658 + 2.15021i −0.0905469 + 0.0965472i
\(497\) −34.4963 15.3311i −1.54737 0.687693i
\(498\) −2.80069 30.3018i −0.125502 1.35786i
\(499\) 15.9456 + 1.19496i 0.713822 + 0.0534935i 0.426690 0.904398i \(-0.359679\pi\)
0.287131 + 0.957891i \(0.407298\pi\)
\(500\) 0.844932 + 24.3189i 0.0377865 + 1.08757i
\(501\) 29.0952 2.18038i 1.29988 0.0974122i
\(502\) 21.1154 5.20681i 0.942429 0.232391i
\(503\) −36.6694 17.6590i −1.63501 0.787378i −0.999888 0.0149632i \(-0.995237\pi\)
−0.635119 0.772415i \(-0.719049\pi\)
\(504\) −3.34676 + 0.791687i −0.149077 + 0.0352646i
\(505\) −13.4639 + 6.48389i −0.599137 + 0.288529i
\(506\) −39.3365 + 32.5031i −1.74872 + 1.44494i
\(507\) −2.69488 + 17.8794i −0.119684 + 0.794051i
\(508\) −6.23113 23.5057i −0.276461 1.04290i
\(509\) 16.0286 + 9.25412i 0.710455 + 0.410182i 0.811230 0.584728i \(-0.198799\pi\)
−0.100774 + 0.994909i \(0.532132\pi\)
\(510\) −10.6509 + 10.2324i −0.471630 + 0.453100i
\(511\) −10.0003 1.19579i −0.442386 0.0528987i
\(512\) 11.1825 19.6711i 0.494200 0.869348i
\(513\) 29.8513 4.49936i 1.31797 0.198652i
\(514\) 16.5543 + 14.8337i 0.730181 + 0.654285i
\(515\) 3.65989 5.36807i 0.161274 0.236546i
\(516\) −0.542751 0.0626214i −0.0238933 0.00275675i
\(517\) 36.0364 28.7380i 1.58488 1.26390i
\(518\) −6.57070 + 25.5999i −0.288700 + 1.12479i
\(519\) 22.2143 27.8558i 0.975098 1.22273i
\(520\) 5.20161 3.95834i 0.228106 0.173585i
\(521\) −11.2513 19.4879i −0.492930 0.853780i 0.507037 0.861924i \(-0.330741\pi\)
−0.999967 + 0.00814475i \(0.997407\pi\)
\(522\) −1.55459 + 5.36915i −0.0680426 + 0.235001i
\(523\) 19.5192 21.0367i 0.853515 0.919871i −0.144053 0.989570i \(-0.546014\pi\)
0.997568 + 0.0696993i \(0.0222040\pi\)
\(524\) 7.51861 + 40.3259i 0.328452 + 1.76165i
\(525\) −4.40225 6.05066i −0.192130 0.264073i
\(526\) 16.0292 + 10.5255i 0.698907 + 0.458935i
\(527\) 0.982306 + 2.50288i 0.0427899 + 0.109027i
\(528\) −13.2140 + 27.0684i −0.575064 + 1.17800i
\(529\) 33.7553 10.4121i 1.46762 0.452702i
\(530\) 0.654441 3.11573i 0.0284271 0.135339i
\(531\) −0.0823093 + 0.0187866i −0.00357192 + 0.000815267i
\(532\) −18.2763 + 22.4772i −0.792377 + 0.974510i
\(533\) 6.27063 + 1.43123i 0.271611 + 0.0619935i
\(534\) −5.54434 + 12.0435i −0.239927 + 0.521175i
\(535\) −11.1503 + 28.4106i −0.482070 + 1.22830i
\(536\) −11.6302 31.7336i −0.502349 1.37068i
\(537\) −4.99359 + 3.40457i −0.215489 + 0.146918i
\(538\) −0.223081 + 1.67716i −0.00961770 + 0.0723076i
\(539\) −16.9246 + 28.4133i −0.728996 + 1.22385i
\(540\) 19.1180 + 5.17740i 0.822706 + 0.222800i
\(541\) −8.26090 12.1165i −0.355164 0.520930i 0.606528 0.795062i \(-0.292562\pi\)
−0.961692 + 0.274132i \(0.911609\pi\)
\(542\) −14.7018 + 10.4020i −0.631496 + 0.446804i
\(543\) −2.91715 + 7.43277i −0.125187 + 0.318971i
\(544\) −11.8302 16.9111i −0.507215 0.725059i
\(545\) −2.14375 + 9.39238i −0.0918281 + 0.402325i
\(546\) −2.45791 + 7.26951i −0.105189 + 0.311106i
\(547\) 7.67274 1.75125i 0.328063 0.0748782i −0.0553174 0.998469i \(-0.517617\pi\)
0.383380 + 0.923591i \(0.374760\pi\)
\(548\) −1.73029 + 4.90286i −0.0739145 + 0.209440i
\(549\) −0.954941 3.09584i −0.0407559 0.132127i
\(550\) 11.8363 + 0.680565i 0.504701 + 0.0290194i
\(551\) 17.2021 + 43.8302i 0.732834 + 1.86723i
\(552\) 25.7634 22.8387i 1.09656 0.972078i
\(553\) 0.0812040 1.83554i 0.00345314 0.0780550i
\(554\) −9.36789 28.5972i −0.398003 1.21498i
\(555\) 13.7532 14.8225i 0.583792 0.629178i
\(556\) −10.9129 + 24.8314i −0.462808 + 1.05309i
\(557\) −27.7821 + 16.0400i −1.17717 + 0.679638i −0.955357 0.295452i \(-0.904530\pi\)
−0.221810 + 0.975090i \(0.571196\pi\)
\(558\) 0.292092 0.379612i 0.0123653 0.0160703i
\(559\) 0.137503 0.172423i 0.00581574 0.00729270i
\(560\) −16.9111 + 8.67653i −0.714623 + 0.366650i
\(561\) 17.1295 + 21.4797i 0.723209 + 0.906875i
\(562\) 7.84153 0.136181i 0.330775 0.00574446i
\(563\) 15.7932 23.1643i 0.665603 0.976261i −0.333831 0.942633i \(-0.608342\pi\)
0.999434 0.0336278i \(-0.0107061\pi\)
\(564\) −23.6263 + 20.2225i −0.994848 + 0.851523i
\(565\) 0.0404191 + 0.268163i 0.00170044 + 0.0112817i
\(566\) 21.3174 12.8062i 0.896039 0.538287i
\(567\) −18.5487 + 6.34900i −0.778973 + 0.266633i
\(568\) −35.3985 + 19.3794i −1.48529 + 0.813140i
\(569\) 3.88734 6.73308i 0.162966 0.282265i −0.772965 0.634448i \(-0.781227\pi\)
0.935931 + 0.352183i \(0.114561\pi\)
\(570\) 20.4877 8.45427i 0.858136 0.354110i
\(571\) −3.45416 + 22.9168i −0.144552 + 0.959039i 0.792506 + 0.609865i \(0.208776\pi\)
−0.937058 + 0.349175i \(0.886462\pi\)
\(572\) −6.44129 10.3123i −0.269324 0.431178i
\(573\) −6.81359 14.1486i −0.284642 0.591065i
\(574\) −17.2204 7.29783i −0.718765 0.304606i
\(575\) −12.2093 5.87968i −0.509162 0.245200i
\(576\) −1.49718 + 3.35793i −0.0623826 + 0.139914i
\(577\) 2.67577 + 35.7057i 0.111394 + 1.48645i 0.720554 + 0.693399i \(0.243888\pi\)
−0.609160 + 0.793047i \(0.708493\pi\)
\(578\) 5.14501 0.867106i 0.214004 0.0360669i
\(579\) 0.230331 + 0.0172609i 0.00957223 + 0.000717340i
\(580\) −1.23753 + 30.8676i −0.0513855 + 1.28171i
\(581\) −28.5941 21.4058i −1.18628 0.888061i
\(582\) −29.7985 11.1019i −1.23519 0.460187i
\(583\) −5.65903 1.74558i −0.234373 0.0722945i
\(584\) −7.50065 + 7.72439i −0.310379 + 0.319638i
\(585\) −0.778550 + 0.722388i −0.0321891 + 0.0298671i
\(586\) 2.05472 + 4.08373i 0.0848799 + 0.168697i
\(587\) 45.6463i 1.88402i −0.335580 0.942012i \(-0.608932\pi\)
0.335580 0.942012i \(-0.391068\pi\)
\(588\) 10.7468 19.5558i 0.443189 0.806469i
\(589\) 4.03474i 0.166248i
\(590\) −0.416810 + 0.209718i −0.0171598 + 0.00863395i
\(591\) −5.50398 + 5.10694i −0.226403 + 0.210072i
\(592\) 17.4982 + 22.1840i 0.719171 + 0.911757i
\(593\) −10.3440 3.19070i −0.424777 0.131026i 0.0749937 0.997184i \(-0.476106\pi\)
−0.499771 + 0.866158i \(0.666583\pi\)
\(594\) 12.8627 34.5247i 0.527762 1.41656i
\(595\) 0.530209 + 17.3280i 0.0217364 + 0.710381i
\(596\) −20.3507 0.815891i −0.833599 0.0334202i
\(597\) 9.81089 + 0.735225i 0.401533 + 0.0300907i
\(598\) 2.30961 + 13.7041i 0.0944469 + 0.560404i
\(599\) 0.734468 + 9.80079i 0.0300095 + 0.400450i 0.991901 + 0.127017i \(0.0405401\pi\)
−0.961891 + 0.273433i \(0.911841\pi\)
\(600\) −7.99725 0.181609i −0.326486 0.00741416i
\(601\) 40.4470 + 19.4783i 1.64987 + 0.794535i 0.999387 + 0.0350143i \(0.0111477\pi\)
0.650483 + 0.759521i \(0.274567\pi\)
\(602\) −0.481636 + 0.423410i −0.0196300 + 0.0172569i
\(603\) 2.38270 + 4.94773i 0.0970311 + 0.201487i
\(604\) 4.41710 + 7.07162i 0.179729 + 0.287740i
\(605\) −3.03057 + 20.1065i −0.123210 + 0.817445i
\(606\) −7.15423 17.3373i −0.290621 0.704279i
\(607\) 10.5883 18.3395i 0.429767 0.744377i −0.567086 0.823659i \(-0.691929\pi\)
0.996852 + 0.0792813i \(0.0252625\pi\)
\(608\) 7.25403 + 30.1084i 0.294190 + 1.22106i
\(609\) −19.0860 30.8394i −0.773402 1.24968i
\(610\) −9.22053 15.3486i −0.373328 0.621447i
\(611\) −1.87097 12.4131i −0.0756913 0.502179i
\(612\) 2.18058 + 2.54760i 0.0881446 + 0.102981i
\(613\) −17.1860 + 25.2072i −0.694135 + 1.01811i 0.303728 + 0.952759i \(0.401769\pi\)
−0.997862 + 0.0653499i \(0.979184\pi\)
\(614\) 0.748480 + 43.0987i 0.0302062 + 1.73932i
\(615\) 8.92141 + 11.1871i 0.359746 + 0.451107i
\(616\) 13.1759 + 32.8087i 0.530871 + 1.32190i
\(617\) 19.8769 24.9248i 0.800212 1.00343i −0.199511 0.979896i \(-0.563935\pi\)
0.999723 0.0235387i \(-0.00749329\pi\)
\(618\) 6.46246 + 4.97254i 0.259958 + 0.200025i
\(619\) −12.2316 + 7.06192i −0.491630 + 0.283842i −0.725250 0.688485i \(-0.758276\pi\)
0.233621 + 0.972328i \(0.424943\pi\)
\(620\) 1.06506 2.42347i 0.0427739 0.0973290i
\(621\) −28.6432 + 30.8700i −1.14941 + 1.23877i
\(622\) −5.76400 + 1.88817i −0.231115 + 0.0757089i
\(623\) 6.12594 + 14.3059i 0.245431 + 0.573152i
\(624\) 4.58501 + 6.80274i 0.183547 + 0.272327i
\(625\) −4.74191 12.0822i −0.189677 0.483288i
\(626\) −1.76816 + 30.7516i −0.0706699 + 1.22908i
\(627\) −12.1519 39.3955i −0.485300 1.57330i
\(628\) −2.35621 0.831542i −0.0940230 0.0331821i
\(629\) 25.1246 5.73453i 1.00178 0.228651i
\(630\) 2.59747 1.67059i 0.103486 0.0665580i
\(631\) −3.70989 + 16.2541i −0.147688 + 0.647065i 0.845836 + 0.533443i \(0.179102\pi\)
−0.993524 + 0.113622i \(0.963755\pi\)
\(632\) −1.50747 1.25920i −0.0599638 0.0500884i
\(633\) −4.80888 + 12.2528i −0.191136 + 0.487006i
\(634\) 4.54140 + 6.41864i 0.180362 + 0.254917i
\(635\) 12.3013 + 18.0427i 0.488162 + 0.716002i
\(636\) 3.85683 + 1.04448i 0.152933 + 0.0414163i
\(637\) 4.39693 + 7.86110i 0.174213 + 0.311468i
\(638\) 56.9623 + 7.57660i 2.25516 + 0.299961i
\(639\) 5.41781 3.69380i 0.214325 0.146124i
\(640\) −3.59067 + 19.9996i −0.141934 + 0.790552i
\(641\) 4.76591 12.1433i 0.188242 0.479633i −0.805331 0.592826i \(-0.798012\pi\)
0.993573 + 0.113192i \(0.0361076\pi\)
\(642\) −34.7948 16.0180i −1.37324 0.632182i
\(643\) −1.42816 0.325967i −0.0563210 0.0128549i 0.194268 0.980949i \(-0.437767\pi\)
−0.250589 + 0.968094i \(0.580624\pi\)
\(644\) 0.383145 40.4097i 0.0150980 1.59237i
\(645\) 0.478321 0.109174i 0.0188339 0.00429870i
\(646\) 27.6443 + 5.80652i 1.08765 + 0.228454i
\(647\) 37.1103 11.4470i 1.45896 0.450029i 0.539087 0.842250i \(-0.318769\pi\)
0.919871 + 0.392221i \(0.128293\pi\)
\(648\) −6.63083 + 19.8823i −0.260484 + 0.781050i
\(649\) 0.317091 + 0.807934i 0.0124469 + 0.0317142i
\(650\) 1.77233 2.69907i 0.0695167 0.105866i
\(651\) 0.556962 + 3.05747i 0.0218291 + 0.119832i
\(652\) 4.75816 + 25.5203i 0.186344 + 0.999454i
\(653\) 14.6719 15.8125i 0.574155 0.618791i −0.377482 0.926017i \(-0.623210\pi\)
0.951637 + 0.307225i \(0.0994006\pi\)
\(654\) −11.6141 3.36276i −0.454147 0.131494i
\(655\) −18.4183 31.9014i −0.719662 1.24649i
\(656\) −17.3687 + 9.90454i −0.678134 + 0.386707i
\(657\) 1.09076 1.36777i 0.0425546 0.0533618i
\(658\) −0.979847 + 36.4898i −0.0381984 + 1.42252i
\(659\) −18.5432 + 14.7877i −0.722342 + 0.576048i −0.914146 0.405385i \(-0.867138\pi\)
0.191804 + 0.981433i \(0.438566\pi\)
\(660\) 3.10028 26.8707i 0.120678 1.04594i
\(661\) 5.12744 7.52057i 0.199434 0.292516i −0.713474 0.700682i \(-0.752879\pi\)
0.912908 + 0.408166i \(0.133832\pi\)
\(662\) −9.32462 + 10.4063i −0.362411 + 0.404451i
\(663\) 7.39890 1.11520i 0.287350 0.0433110i
\(664\) −36.7346 + 10.4239i −1.42558 + 0.404526i
\(665\) 8.75917 24.4958i 0.339666 0.949906i
\(666\) −3.18056 3.31063i −0.123244 0.128284i
\(667\) −56.8819 32.8408i −2.20248 1.27160i
\(668\) −9.38121 35.3888i −0.362970 1.36923i
\(669\) 4.31752 28.6449i 0.166925 1.10748i
\(670\) 19.3322 + 23.3966i 0.746869 + 0.903889i
\(671\) −30.0078 + 14.4510i −1.15844 + 0.557874i
\(672\) −9.65324 21.8145i −0.372382 0.841511i
\(673\) −12.6587 6.09609i −0.487956 0.234987i 0.173695 0.984800i \(-0.444429\pi\)
−0.661650 + 0.749812i \(0.730144\pi\)
\(674\) −7.99796 32.4346i −0.308070 1.24933i
\(675\) 9.75695 0.731182i 0.375545 0.0281432i
\(676\) 22.6749 0.787812i 0.872111 0.0303005i
\(677\) 32.0367 + 2.40082i 1.23127 + 0.0922709i 0.674423 0.738345i \(-0.264392\pi\)
0.556846 + 0.830616i \(0.312011\pi\)
\(678\) −0.338917 + 0.0313250i −0.0130160 + 0.00120303i
\(679\) −33.1176 + 17.2156i −1.27094 + 0.660674i
\(680\) 15.0718 + 10.7850i 0.577978 + 0.413587i
\(681\) 17.6886 + 5.45622i 0.677830 + 0.209083i
\(682\) −4.30651 2.38763i −0.164905 0.0914273i
\(683\) 17.6103 + 18.9794i 0.673840 + 0.726226i 0.973719 0.227751i \(-0.0731371\pi\)
−0.299880 + 0.953977i \(0.596947\pi\)
\(684\) −1.64931 4.75415i −0.0630631 0.181779i
\(685\) 4.66889i 0.178389i
\(686\) −8.57464 24.7482i −0.327381 0.944892i
\(687\) −7.58909 −0.289542
\(688\) 0.0475809 + 0.683912i 0.00181400 + 0.0260739i
\(689\) −1.18234 + 1.09705i −0.0450436 + 0.0417943i
\(690\) −14.9913 + 27.0394i −0.570709 + 1.02937i
\(691\) 4.27088 13.8459i 0.162472 0.526721i −0.837328 0.546700i \(-0.815884\pi\)
0.999800 + 0.0199791i \(0.00635997\pi\)
\(692\) −39.4706 20.9958i −1.50045 0.798141i
\(693\) −2.64966 5.09713i −0.100652 0.193624i
\(694\) −20.5664 + 1.90088i −0.780688 + 0.0721564i
\(695\) 1.82019 24.2888i 0.0690439 0.921326i
\(696\) −38.5876 3.77445i −1.46266 0.143070i
\(697\) 1.36283 + 18.1857i 0.0516208 + 0.688831i
\(698\) −3.10299 + 0.765160i −0.117450 + 0.0289617i
\(699\) −16.7331 + 34.7467i −0.632905 + 1.31424i
\(700\) −6.45131 + 6.82198i −0.243837 + 0.257847i
\(701\) 11.0585 + 22.9632i 0.417674 + 0.867310i 0.998577 + 0.0533364i \(0.0169856\pi\)
−0.580902 + 0.813973i \(0.697300\pi\)
\(702\) −6.39151 7.73525i −0.241232 0.291948i
\(703\) −38.2398 5.76372i −1.44224 0.217383i
\(704\) 36.4292 + 10.0746i 1.37298 + 0.379701i
\(705\) 13.9634 24.1854i 0.525894 0.910874i
\(706\) 13.4492 12.9208i 0.506165 0.486279i
\(707\) −20.7290 7.41225i −0.779594 0.278766i
\(708\) −0.232745 0.537368i −0.00874710 0.0201955i
\(709\) −0.238351 1.58136i −0.00895147 0.0593891i 0.983909 0.178670i \(-0.0571793\pi\)
−0.992861 + 0.119280i \(0.961941\pi\)
\(710\) 24.1842 26.9895i 0.907616 1.01290i
\(711\) 0.263693 + 0.179783i 0.00988926 + 0.00674239i
\(712\) 16.1314 + 4.06932i 0.604551 + 0.152504i
\(713\) 3.50917 + 4.40036i 0.131420 + 0.164795i
\(714\) −21.7500 0.584045i −0.813975 0.0218573i
\(715\) 8.53638 + 6.80753i 0.319242 + 0.254587i
\(716\) 5.34818 + 5.37682i 0.199871 + 0.200941i
\(717\) 28.4198 16.4082i 1.06136 0.612774i
\(718\) −30.4005 8.80221i −1.13454 0.328496i
\(719\) −8.43517 7.82670i −0.314579 0.291886i 0.507041 0.861922i \(-0.330739\pi\)
−0.821620 + 0.570035i \(0.806930\pi\)
\(720\) 0.264304 3.29096i 0.00985001 0.122647i
\(721\) 9.41605 1.71527i 0.350672 0.0638799i
\(722\) −12.9717 8.51782i −0.482756 0.317000i
\(723\) −21.4628 + 8.42352i −0.798209 + 0.313274i
\(724\) 9.83960 + 1.88898i 0.365686 + 0.0702034i
\(725\) 4.49814 + 14.5826i 0.167057 + 0.541584i
\(726\) −24.9749 5.24583i −0.926905 0.194691i
\(727\) 10.7707 + 47.1893i 0.399462 + 1.75016i 0.629525 + 0.776980i \(0.283249\pi\)
−0.230064 + 0.973176i \(0.573893\pi\)
\(728\) 9.53259 + 1.36004i 0.353301 + 0.0504063i
\(729\) 6.62486 29.0254i 0.245365 1.07501i
\(730\) 4.04317 8.78266i 0.149644 0.325061i
\(731\) 0.582075 + 0.228447i 0.0215288 + 0.00844944i
\(732\) 19.8959 10.4474i 0.735375 0.386148i
\(733\) 11.7048 + 17.1678i 0.432328 + 0.634108i 0.979150 0.203141i \(-0.0651149\pi\)
−0.546822 + 0.837249i \(0.684163\pi\)
\(734\) −25.1023 3.33888i −0.926543 0.123240i
\(735\) −3.25615 + 19.7717i −0.120105 + 0.729292i
\(736\) −34.0979 26.5278i −1.25687 0.977826i
\(737\) 46.6456 31.8024i 1.71821 1.17146i
\(738\) 2.65206 1.87642i 0.0976235 0.0690718i
\(739\) −4.00411 1.57150i −0.147294 0.0578085i 0.290549 0.956860i \(-0.406162\pi\)
−0.437843 + 0.899052i \(0.644257\pi\)
\(740\) −21.4473 13.5563i −0.788420 0.498338i
\(741\) −10.9467 2.49852i −0.402138 0.0917854i
\(742\) 3.94464 2.53704i 0.144812 0.0931376i
\(743\) −0.807993 3.54005i −0.0296424 0.129872i 0.957942 0.286963i \(-0.0926456\pi\)
−0.987584 + 0.157091i \(0.949788\pi\)
\(744\) 2.95985 + 1.50911i 0.108513 + 0.0553266i
\(745\) 17.4770 5.39095i 0.640309 0.197509i
\(746\) −0.578982 0.0332904i −0.0211980 0.00121885i
\(747\) 5.77553 2.26673i 0.211316 0.0829353i
\(748\) 22.5567 26.0702i 0.824754 0.953222i
\(749\) −41.3308 + 17.6983i −1.51020 + 0.646683i
\(750\) 26.0621 8.53745i 0.951655 0.311744i
\(751\) −11.7996 10.9484i −0.430573 0.399513i 0.434892 0.900482i \(-0.356786\pi\)
−0.865465 + 0.500969i \(0.832977\pi\)
\(752\) 30.3793 + 24.4932i 1.10782 + 0.893176i
\(753\) −12.2554 21.2269i −0.446611 0.773552i
\(754\) 9.54391 12.4035i 0.347569 0.451711i
\(755\) −5.85381 4.66825i −0.213042 0.169895i
\(756\) 14.3487 + 25.4060i 0.521859 + 0.924009i
\(757\) −35.9029 + 28.6316i −1.30491 + 1.04063i −0.308931 + 0.951084i \(0.599971\pi\)
−0.995982 + 0.0895496i \(0.971457\pi\)
\(758\) −0.421682 24.2811i −0.0153162 0.881929i
\(759\) 47.5169 + 32.3965i 1.72476 + 1.17592i
\(760\) −15.1407 23.3282i −0.549212 0.846203i
\(761\) 36.9682 5.57206i 1.34010 0.201987i 0.560440 0.828195i \(-0.310632\pi\)
0.779656 + 0.626208i \(0.215394\pi\)
\(762\) −23.4935 + 14.1135i −0.851081 + 0.511279i
\(763\) −12.0680 + 7.46865i −0.436890 + 0.270383i
\(764\) −15.8859 + 11.6589i −0.574731 + 0.421805i
\(765\) −2.60789 1.50566i −0.0942884 0.0544374i
\(766\) 1.22299 + 2.96375i 0.0441885 + 0.107085i
\(767\) 0.233742 + 0.0352309i 0.00843993 + 0.00127212i
\(768\) −24.8005 5.93993i −0.894912 0.214339i
\(769\) 16.1737 7.78885i 0.583239 0.280873i −0.118908 0.992905i \(-0.537939\pi\)
0.702147 + 0.712032i \(0.252225\pi\)
\(770\) −20.9624 23.8450i −0.755431 0.859316i
\(771\) 10.8696