Properties

Label 441.2.y.a.25.9
Level $441$
Weight $2$
Character 441.25
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.y (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 25.9
Character \(\chi\) \(=\) 441.25
Dual form 441.2.y.a.247.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.474737 + 2.07996i) q^{2} +(-1.49636 + 0.872292i) q^{3} +(-2.29891 - 1.10710i) q^{4} +(-0.320939 - 0.817739i) q^{5} +(-1.10395 - 3.52648i) q^{6} +(-0.354961 - 2.62183i) q^{7} +(0.733726 - 0.920064i) q^{8} +(1.47821 - 2.61053i) q^{9} +O(q^{10})\) \(q+(-0.474737 + 2.07996i) q^{2} +(-1.49636 + 0.872292i) q^{3} +(-2.29891 - 1.10710i) q^{4} +(-0.320939 - 0.817739i) q^{5} +(-1.10395 - 3.52648i) q^{6} +(-0.354961 - 2.62183i) q^{7} +(0.733726 - 0.920064i) q^{8} +(1.47821 - 2.61053i) q^{9} +(1.85322 - 0.279328i) q^{10} +(5.64014 - 1.73975i) q^{11} +(4.40572 - 0.348702i) q^{12} +(-1.14108 + 0.351977i) q^{13} +(5.62181 + 0.506377i) q^{14} +(1.19355 + 0.943683i) q^{15} +(-1.61642 - 2.02693i) q^{16} +(-0.127912 + 1.70687i) q^{17} +(4.72804 + 4.31394i) q^{18} +(-0.539504 - 0.934449i) q^{19} +(-0.167506 + 2.23522i) q^{20} +(2.81815 + 3.61359i) q^{21} +(0.941031 + 12.5572i) q^{22} +(0.143637 - 0.0979298i) q^{23} +(-0.295357 + 2.01677i) q^{24} +(3.09956 - 2.87598i) q^{25} +(-0.190384 - 2.54050i) q^{26} +(0.0652046 + 5.19574i) q^{27} +(-2.08660 + 6.42033i) q^{28} +(0.438482 - 5.85113i) q^{29} +(-2.52944 + 2.03453i) q^{30} -0.284492 q^{31} +(7.10384 - 3.42103i) q^{32} +(-6.92213 + 7.52316i) q^{33} +(-3.48948 - 1.07636i) q^{34} +(-2.03005 + 1.13171i) q^{35} +(-6.28839 + 4.36486i) q^{36} +(-4.72151 - 3.21907i) q^{37} +(2.19974 - 0.678529i) q^{38} +(1.40045 - 1.52204i) q^{39} +(-0.987853 - 0.304712i) q^{40} +(10.2461 + 1.54435i) q^{41} +(-8.85399 + 4.14614i) q^{42} +(-2.90796 + 0.438305i) q^{43} +(-14.8923 - 2.24465i) q^{44} +(-2.60915 - 0.370970i) q^{45} +(0.135500 + 0.345249i) q^{46} +(-0.554740 + 2.43047i) q^{47} +(4.18684 + 1.62303i) q^{48} +(-6.74801 + 1.86130i) q^{49} +(4.51043 + 7.81229i) q^{50} +(-1.29748 - 2.66567i) q^{51} +(3.01292 + 0.454125i) q^{52} +(8.62380 - 5.87961i) q^{53} +(-10.8379 - 2.33099i) q^{54} +(-3.23280 - 4.05381i) q^{55} +(-2.67270 - 1.59712i) q^{56} +(1.62241 + 0.927671i) q^{57} +(11.9619 + 3.68977i) q^{58} +(4.23461 + 5.31003i) q^{59} +(-1.69911 - 3.49082i) q^{60} +(3.28641 - 1.58265i) q^{61} +(0.135059 - 0.591730i) q^{62} +(-7.36909 - 2.94899i) q^{63} +(2.58935 + 11.3447i) q^{64} +(0.654043 + 0.820144i) q^{65} +(-12.3617 - 17.9693i) q^{66} +10.4791 q^{67} +(2.18372 - 3.78232i) q^{68} +(-0.129509 + 0.271832i) q^{69} +(-1.39017 - 4.75969i) q^{70} +(-3.18382 - 1.53325i) q^{71} +(-1.31725 - 3.27547i) q^{72} +(-5.15850 - 1.59119i) q^{73} +(8.93700 - 8.29232i) q^{74} +(-2.12939 + 7.00723i) q^{75} +(0.205747 + 2.74550i) q^{76} +(-6.56337 - 14.1700i) q^{77} +(2.50094 + 3.63544i) q^{78} +6.05892 q^{79} +(-1.13873 + 1.97233i) q^{80} +(-4.62978 - 7.71785i) q^{81} +(-8.07636 + 20.5782i) q^{82} +(-13.5559 - 4.18143i) q^{83} +(-2.47809 - 11.4273i) q^{84} +(1.43682 - 0.443201i) q^{85} +(0.468861 - 6.25651i) q^{86} +(4.44777 + 9.13791i) q^{87} +(2.53764 - 6.46579i) q^{88} +(6.12303 - 5.68134i) q^{89} +(2.01026 - 5.25081i) q^{90} +(1.32787 + 2.86679i) q^{91} +(-0.438625 + 0.0661121i) q^{92} +(0.425703 - 0.248160i) q^{93} +(-4.79193 - 2.30767i) q^{94} +(-0.590987 + 0.741075i) q^{95} +(-7.64579 + 11.3157i) q^{96} +(7.86209 - 13.6175i) q^{97} +(-0.667888 - 14.9192i) q^{98} +(3.79564 - 17.2955i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9} - 22 q^{10} - 8 q^{11} - 64 q^{12} - 4 q^{13} - 26 q^{14} - 4 q^{15} - 97 q^{16} - 37 q^{17} - q^{18} - 14 q^{19} - 11 q^{20} - 33 q^{21} - q^{22} + 31 q^{23} - 20 q^{24} + 38 q^{25} - 44 q^{26} - 49 q^{27} - 22 q^{28} + 73 q^{29} - 12 q^{30} - 20 q^{31} - q^{32} - 43 q^{33} - 7 q^{34} - 32 q^{35} + 20 q^{36} - 39 q^{37} - 40 q^{38} + q^{39} - q^{40} - 17 q^{41} + 82 q^{42} - q^{43} - 31 q^{44} - 177 q^{45} + 56 q^{46} + 5 q^{47} - 23 q^{48} - q^{49} - 21 q^{50} - 18 q^{51} - 48 q^{52} + 50 q^{53} - 15 q^{54} + 20 q^{55} + 127 q^{56} + 33 q^{57} - 82 q^{58} + 53 q^{59} + 43 q^{60} + 42 q^{61} - 30 q^{62} + 57 q^{63} - 88 q^{64} - 11 q^{65} - 90 q^{66} - 26 q^{67} + 145 q^{68} + 64 q^{69} - 46 q^{70} - 19 q^{71} - 46 q^{72} - 40 q^{73} + 18 q^{74} - 114 q^{75} + 43 q^{76} + 7 q^{77} - 129 q^{78} - 26 q^{79} + 163 q^{80} + 85 q^{81} - 28 q^{82} - 221 q^{83} - 113 q^{84} - 10 q^{85} - 18 q^{86} + 37 q^{87} - 4 q^{88} - 104 q^{89} - 60 q^{90} - 49 q^{91} + 119 q^{92} - 149 q^{93} - 13 q^{94} + 37 q^{95} + 186 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{8}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.474737 + 2.07996i −0.335690 + 1.47075i 0.472238 + 0.881471i \(0.343446\pi\)
−0.807928 + 0.589281i \(0.799411\pi\)
\(3\) −1.49636 + 0.872292i −0.863926 + 0.503618i
\(4\) −2.29891 1.10710i −1.14946 0.553548i
\(5\) −0.320939 0.817739i −0.143528 0.365704i 0.840974 0.541075i \(-0.181983\pi\)
−0.984502 + 0.175371i \(0.943887\pi\)
\(6\) −1.10395 3.52648i −0.450686 1.43968i
\(7\) −0.354961 2.62183i −0.134163 0.990959i
\(8\) 0.733726 0.920064i 0.259411 0.325292i
\(9\) 1.47821 2.61053i 0.492737 0.870178i
\(10\) 1.85322 0.279328i 0.586041 0.0883314i
\(11\) 5.64014 1.73975i 1.70057 0.524555i 0.715781 0.698325i \(-0.246071\pi\)
0.984786 + 0.173770i \(0.0555949\pi\)
\(12\) 4.40572 0.348702i 1.27182 0.100661i
\(13\) −1.14108 + 0.351977i −0.316479 + 0.0976210i −0.448925 0.893569i \(-0.648193\pi\)
0.132446 + 0.991190i \(0.457717\pi\)
\(14\) 5.62181 + 0.506377i 1.50249 + 0.135335i
\(15\) 1.19355 + 0.943683i 0.308173 + 0.243658i
\(16\) −1.61642 2.02693i −0.404106 0.506733i
\(17\) −0.127912 + 1.70687i −0.0310232 + 0.413976i 0.959974 + 0.280090i \(0.0903644\pi\)
−0.990997 + 0.133885i \(0.957255\pi\)
\(18\) 4.72804 + 4.31394i 1.11441 + 1.01680i
\(19\) −0.539504 0.934449i −0.123771 0.214377i 0.797481 0.603344i \(-0.206165\pi\)
−0.921252 + 0.388967i \(0.872832\pi\)
\(20\) −0.167506 + 2.23522i −0.0374556 + 0.499810i
\(21\) 2.81815 + 3.61359i 0.614972 + 0.788549i
\(22\) 0.941031 + 12.5572i 0.200628 + 2.67720i
\(23\) 0.143637 0.0979298i 0.0299503 0.0204198i −0.548252 0.836313i \(-0.684707\pi\)
0.578203 + 0.815893i \(0.303754\pi\)
\(24\) −0.295357 + 2.01677i −0.0602896 + 0.411672i
\(25\) 3.09956 2.87598i 0.619913 0.575195i
\(26\) −0.190384 2.54050i −0.0373374 0.498233i
\(27\) 0.0652046 + 5.19574i 0.0125486 + 0.999921i
\(28\) −2.08660 + 6.42033i −0.394330 + 1.21333i
\(29\) 0.438482 5.85113i 0.0814240 1.08653i −0.795517 0.605931i \(-0.792801\pi\)
0.876941 0.480597i \(-0.159580\pi\)
\(30\) −2.52944 + 2.03453i −0.461811 + 0.371453i
\(31\) −0.284492 −0.0510962 −0.0255481 0.999674i \(-0.508133\pi\)
−0.0255481 + 0.999674i \(0.508133\pi\)
\(32\) 7.10384 3.42103i 1.25579 0.604758i
\(33\) −6.92213 + 7.52316i −1.20499 + 1.30961i
\(34\) −3.48948 1.07636i −0.598441 0.184595i
\(35\) −2.03005 + 1.13171i −0.343142 + 0.191294i
\(36\) −6.28839 + 4.36486i −1.04807 + 0.727477i
\(37\) −4.72151 3.21907i −0.776211 0.529212i 0.109201 0.994020i \(-0.465171\pi\)
−0.885411 + 0.464808i \(0.846123\pi\)
\(38\) 2.19974 0.678529i 0.356844 0.110072i
\(39\) 1.40045 1.52204i 0.224251 0.243722i
\(40\) −0.987853 0.304712i −0.156193 0.0481792i
\(41\) 10.2461 + 1.54435i 1.60017 + 0.241186i 0.887667 0.460486i \(-0.152325\pi\)
0.712500 + 0.701672i \(0.247563\pi\)
\(42\) −8.85399 + 4.14614i −1.36620 + 0.639763i
\(43\) −2.90796 + 0.438305i −0.443460 + 0.0668408i −0.366977 0.930230i \(-0.619607\pi\)
−0.0764830 + 0.997071i \(0.524369\pi\)
\(44\) −14.8923 2.24465i −2.24509 0.338393i
\(45\) −2.60915 0.370970i −0.388949 0.0553009i
\(46\) 0.135500 + 0.345249i 0.0199784 + 0.0509042i
\(47\) −0.554740 + 2.43047i −0.0809171 + 0.354521i −0.999136 0.0415514i \(-0.986770\pi\)
0.918219 + 0.396072i \(0.129627\pi\)
\(48\) 4.18684 + 1.62303i 0.604318 + 0.234265i
\(49\) −6.74801 + 1.86130i −0.964001 + 0.265899i
\(50\) 4.51043 + 7.81229i 0.637871 + 1.10483i
\(51\) −1.29748 2.66567i −0.181684 0.373268i
\(52\) 3.01292 + 0.454125i 0.417817 + 0.0629758i
\(53\) 8.62380 5.87961i 1.18457 0.807626i 0.199520 0.979894i \(-0.436062\pi\)
0.985050 + 0.172268i \(0.0551094\pi\)
\(54\) −10.8379 2.33099i −1.47485 0.317207i
\(55\) −3.23280 4.05381i −0.435911 0.546615i
\(56\) −2.67270 1.59712i −0.357154 0.213424i
\(57\) 1.62241 + 0.927671i 0.214893 + 0.122873i
\(58\) 11.9619 + 3.68977i 1.57068 + 0.484491i
\(59\) 4.23461 + 5.31003i 0.551299 + 0.691307i 0.976923 0.213593i \(-0.0685166\pi\)
−0.425623 + 0.904900i \(0.639945\pi\)
\(60\) −1.69911 3.49082i −0.219355 0.450662i
\(61\) 3.28641 1.58265i 0.420782 0.202638i −0.211497 0.977379i \(-0.567834\pi\)
0.632279 + 0.774741i \(0.282120\pi\)
\(62\) 0.135059 0.591730i 0.0171525 0.0751498i
\(63\) −7.36909 2.94899i −0.928418 0.371537i
\(64\) 2.58935 + 11.3447i 0.323669 + 1.41809i
\(65\) 0.654043 + 0.820144i 0.0811241 + 0.101726i
\(66\) −12.3617 17.9693i −1.52161 2.21186i
\(67\) 10.4791 1.28023 0.640115 0.768279i \(-0.278887\pi\)
0.640115 + 0.768279i \(0.278887\pi\)
\(68\) 2.18372 3.78232i 0.264815 0.458674i
\(69\) −0.129509 + 0.271832i −0.0155911 + 0.0327247i
\(70\) −1.39017 4.75969i −0.166158 0.568892i
\(71\) −3.18382 1.53325i −0.377850 0.181963i 0.235312 0.971920i \(-0.424389\pi\)
−0.613163 + 0.789957i \(0.710103\pi\)
\(72\) −1.31725 3.27547i −0.155240 0.386017i
\(73\) −5.15850 1.59119i −0.603757 0.186234i −0.0222182 0.999753i \(-0.507073\pi\)
−0.581539 + 0.813519i \(0.697549\pi\)
\(74\) 8.93700 8.29232i 1.03890 0.963963i
\(75\) −2.12939 + 7.00723i −0.245880 + 0.809126i
\(76\) 0.205747 + 2.74550i 0.0236008 + 0.314930i
\(77\) −6.56337 14.1700i −0.747965 1.61482i
\(78\) 2.50094 + 3.63544i 0.283176 + 0.411633i
\(79\) 6.05892 0.681682 0.340841 0.940121i \(-0.389288\pi\)
0.340841 + 0.940121i \(0.389288\pi\)
\(80\) −1.13873 + 1.97233i −0.127314 + 0.220514i
\(81\) −4.62978 7.71785i −0.514420 0.857539i
\(82\) −8.07636 + 20.5782i −0.891885 + 2.27249i
\(83\) −13.5559 4.18143i −1.48795 0.458972i −0.558998 0.829169i \(-0.688814\pi\)
−0.928953 + 0.370197i \(0.879290\pi\)
\(84\) −2.47809 11.4273i −0.270382 1.24682i
\(85\) 1.43682 0.443201i 0.155845 0.0480719i
\(86\) 0.468861 6.25651i 0.0505586 0.674657i
\(87\) 4.44777 + 9.13791i 0.476851 + 0.979687i
\(88\) 2.53764 6.46579i 0.270513 0.689256i
\(89\) 6.12303 5.68134i 0.649040 0.602221i −0.285371 0.958417i \(-0.592117\pi\)
0.934411 + 0.356196i \(0.115926\pi\)
\(90\) 2.01026 5.25081i 0.211900 0.553484i
\(91\) 1.32787 + 2.86679i 0.139198 + 0.300521i
\(92\) −0.438625 + 0.0661121i −0.0457299 + 0.00689267i
\(93\) 0.425703 0.248160i 0.0441433 0.0257330i
\(94\) −4.79193 2.30767i −0.494250 0.238018i
\(95\) −0.590987 + 0.741075i −0.0606340 + 0.0760327i
\(96\) −7.64579 + 11.3157i −0.780346 + 1.15491i
\(97\) 7.86209 13.6175i 0.798275 1.38265i −0.122464 0.992473i \(-0.539080\pi\)
0.920739 0.390179i \(-0.127587\pi\)
\(98\) −0.667888 14.9192i −0.0674669 1.50707i
\(99\) 3.79564 17.2955i 0.381476 1.73826i
\(100\) −10.3096 + 3.18009i −1.03096 + 0.318009i
\(101\) 16.1861 + 2.43966i 1.61057 + 0.242755i 0.891780 0.452469i \(-0.149457\pi\)
0.718794 + 0.695224i \(0.244695\pi\)
\(102\) 6.16044 1.43322i 0.609974 0.141910i
\(103\) −2.07630 5.29031i −0.204583 0.521270i 0.791350 0.611364i \(-0.209379\pi\)
−0.995933 + 0.0900934i \(0.971283\pi\)
\(104\) −0.513401 + 1.30812i −0.0503431 + 0.128272i
\(105\) 2.05051 3.46425i 0.200110 0.338077i
\(106\) 8.13530 + 20.7284i 0.790170 + 2.01332i
\(107\) −10.0275 + 9.30413i −0.969392 + 0.899465i −0.994966 0.100208i \(-0.968049\pi\)
0.0255743 + 0.999673i \(0.491859\pi\)
\(108\) 5.60229 12.0167i 0.539081 1.15631i
\(109\) −5.53803 5.13854i −0.530447 0.492183i 0.368870 0.929481i \(-0.379745\pi\)
−0.899317 + 0.437298i \(0.855935\pi\)
\(110\) 9.96648 4.79960i 0.950266 0.457624i
\(111\) 9.87306 + 0.698366i 0.937110 + 0.0662859i
\(112\) −4.74051 + 4.95747i −0.447936 + 0.468437i
\(113\) 0.603083 0.559579i 0.0567332 0.0526407i −0.651297 0.758823i \(-0.725775\pi\)
0.708030 + 0.706182i \(0.249584\pi\)
\(114\) −2.69973 + 2.93414i −0.252853 + 0.274807i
\(115\) −0.126180 0.0860277i −0.0117663 0.00802213i
\(116\) −7.48580 + 12.9658i −0.695039 + 1.20384i
\(117\) −0.767914 + 3.49913i −0.0709936 + 0.323495i
\(118\) −13.0550 + 6.28694i −1.20181 + 0.578760i
\(119\) 4.52052 0.270507i 0.414395 0.0247973i
\(120\) 1.74399 0.405736i 0.159203 0.0370384i
\(121\) 19.6958 13.4284i 1.79053 1.22076i
\(122\) 1.73167 + 7.58694i 0.156778 + 0.686889i
\(123\) −16.6790 + 6.62666i −1.50389 + 0.597506i
\(124\) 0.654021 + 0.314960i 0.0587328 + 0.0282842i
\(125\) −7.30391 3.51738i −0.653281 0.314604i
\(126\) 9.63215 13.9274i 0.858100 1.24075i
\(127\) 12.6333 6.08388i 1.12102 0.539857i 0.220816 0.975316i \(-0.429128\pi\)
0.900209 + 0.435459i \(0.143414\pi\)
\(128\) −9.05639 −0.800479
\(129\) 3.96904 3.19245i 0.349454 0.281080i
\(130\) −2.01636 + 0.971029i −0.176847 + 0.0851649i
\(131\) −18.2327 + 2.74813i −1.59300 + 0.240105i −0.884821 0.465932i \(-0.845719\pi\)
−0.708175 + 0.706037i \(0.750481\pi\)
\(132\) 24.2422 9.63159i 2.11002 0.838322i
\(133\) −2.25847 + 1.74618i −0.195834 + 0.151413i
\(134\) −4.97483 + 21.7962i −0.429760 + 1.88290i
\(135\) 4.22783 1.72084i 0.363874 0.148106i
\(136\) 1.47657 + 1.37006i 0.126615 + 0.117482i
\(137\) 0.408721 1.04140i 0.0349194 0.0889732i −0.912350 0.409410i \(-0.865735\pi\)
0.947270 + 0.320437i \(0.103830\pi\)
\(138\) −0.503916 0.398422i −0.0428961 0.0339160i
\(139\) −18.3054 2.75909i −1.55264 0.234023i −0.684006 0.729477i \(-0.739764\pi\)
−0.868634 + 0.495454i \(0.835002\pi\)
\(140\) 5.91982 0.354241i 0.500317 0.0299388i
\(141\) −1.28999 4.12077i −0.108637 0.347031i
\(142\) 4.70057 5.89433i 0.394463 0.494641i
\(143\) −5.82351 + 3.97041i −0.486987 + 0.332022i
\(144\) −7.68079 + 1.22350i −0.640066 + 0.101958i
\(145\) −4.92542 + 1.51929i −0.409034 + 0.126170i
\(146\) 5.75853 9.97407i 0.476579 0.825460i
\(147\) 8.47388 8.67141i 0.698914 0.715206i
\(148\) 7.29050 + 12.6275i 0.599275 + 1.03798i
\(149\) −3.74119 3.47132i −0.306490 0.284381i 0.511899 0.859046i \(-0.328942\pi\)
−0.818389 + 0.574664i \(0.805133\pi\)
\(150\) −13.5638 7.75562i −1.10748 0.633244i
\(151\) 0.197042 + 2.62934i 0.0160351 + 0.213973i 0.999466 + 0.0326878i \(0.0104067\pi\)
−0.983431 + 0.181285i \(0.941974\pi\)
\(152\) −1.25560 0.189251i −0.101843 0.0153503i
\(153\) 4.26675 + 2.85703i 0.344946 + 0.230977i
\(154\) 32.5888 6.92453i 2.62608 0.557995i
\(155\) 0.0913044 + 0.232640i 0.00733374 + 0.0186861i
\(156\) −4.90456 + 1.94861i −0.392679 + 0.156014i
\(157\) 4.99183 + 6.25956i 0.398392 + 0.499567i 0.940052 0.341030i \(-0.110776\pi\)
−0.541661 + 0.840597i \(0.682204\pi\)
\(158\) −2.87639 + 12.6023i −0.228833 + 1.00259i
\(159\) −7.77561 + 16.3205i −0.616646 + 1.29430i
\(160\) −5.07740 4.71114i −0.401404 0.372449i
\(161\) −0.307741 0.341830i −0.0242534 0.0269400i
\(162\) 18.2507 5.96579i 1.43391 0.468717i
\(163\) −4.48444 + 11.4262i −0.351248 + 0.894965i 0.640639 + 0.767842i \(0.278670\pi\)
−0.991887 + 0.127123i \(0.959426\pi\)
\(164\) −21.8451 14.8937i −1.70581 1.16300i
\(165\) 8.37356 + 3.24602i 0.651881 + 0.252703i
\(166\) 15.1327 26.2106i 1.17452 2.03433i
\(167\) 16.2286 + 11.0645i 1.25581 + 0.856196i 0.994049 0.108937i \(-0.0347447\pi\)
0.261760 + 0.965133i \(0.415697\pi\)
\(168\) 5.39248 + 0.0585017i 0.416039 + 0.00451351i
\(169\) −9.56292 + 6.51989i −0.735609 + 0.501530i
\(170\) 0.239727 + 3.19893i 0.0183862 + 0.245347i
\(171\) −3.23691 + 0.0270805i −0.247533 + 0.00207090i
\(172\) 7.17039 + 2.21177i 0.546737 + 0.168646i
\(173\) −16.7038 8.04413i −1.26997 0.611584i −0.327175 0.944964i \(-0.606097\pi\)
−0.942793 + 0.333380i \(0.891811\pi\)
\(174\) −21.1180 + 4.91307i −1.60095 + 0.372459i
\(175\) −8.64055 7.10568i −0.653164 0.537139i
\(176\) −12.6432 8.62001i −0.953019 0.649757i
\(177\) −10.9684 4.25193i −0.824437 0.319594i
\(178\) 8.91012 + 15.4328i 0.667842 + 1.15674i
\(179\) −1.80950 + 24.1461i −0.135248 + 1.80477i 0.356783 + 0.934187i \(0.383874\pi\)
−0.492031 + 0.870578i \(0.663745\pi\)
\(180\) 5.58750 + 3.74141i 0.416468 + 0.278868i
\(181\) −4.81734 21.1062i −0.358070 1.56881i −0.757995 0.652260i \(-0.773821\pi\)
0.399925 0.916548i \(-0.369036\pi\)
\(182\) −6.59319 + 1.40093i −0.488719 + 0.103844i
\(183\) −3.53713 + 5.23494i −0.261472 + 0.386978i
\(184\) 0.0152883 0.204008i 0.00112707 0.0150397i
\(185\) −1.11704 + 4.89408i −0.0821266 + 0.359820i
\(186\) 0.314065 + 1.00325i 0.0230284 + 0.0735622i
\(187\) 2.24808 + 9.84950i 0.164396 + 0.720267i
\(188\) 3.96607 4.97329i 0.289255 0.362715i
\(189\) 13.5992 2.01524i 0.989198 0.146587i
\(190\) −1.26084 1.58104i −0.0914710 0.114701i
\(191\) −16.2922 + 20.4298i −1.17886 + 1.47825i −0.334564 + 0.942373i \(0.608589\pi\)
−0.844298 + 0.535874i \(0.819982\pi\)
\(192\) −13.7705 14.7171i −0.993800 1.06212i
\(193\) −5.55833 + 6.96993i −0.400098 + 0.501707i −0.940544 0.339672i \(-0.889684\pi\)
0.540446 + 0.841378i \(0.318255\pi\)
\(194\) 24.5915 + 22.8176i 1.76557 + 1.63821i
\(195\) −1.69409 0.656718i −0.121316 0.0470285i
\(196\) 17.5737 + 3.19175i 1.25526 + 0.227982i
\(197\) 5.68519 0.405053 0.202527 0.979277i \(-0.435085\pi\)
0.202527 + 0.979277i \(0.435085\pi\)
\(198\) 34.1720 + 16.1056i 2.42850 + 1.14457i
\(199\) −5.98523 15.2501i −0.424282 1.08105i −0.970005 0.243086i \(-0.921840\pi\)
0.545723 0.837966i \(-0.316255\pi\)
\(200\) −0.371849 4.96198i −0.0262937 0.350865i
\(201\) −15.6806 + 9.14087i −1.10603 + 0.644748i
\(202\) −12.7585 + 32.5081i −0.897685 + 2.28726i
\(203\) −15.4963 + 0.927297i −1.08763 + 0.0650835i
\(204\) 0.0316427 + 7.56457i 0.00221543 + 0.529626i
\(205\) −2.02549 8.87425i −0.141466 0.619804i
\(206\) 11.9893 1.80710i 0.835336 0.125907i
\(207\) −0.0433236 0.519729i −0.00301120 0.0361237i
\(208\) 2.55791 + 1.74395i 0.177359 + 0.120921i
\(209\) −4.66859 4.33182i −0.322933 0.299638i
\(210\) 6.23205 + 5.90959i 0.430052 + 0.407800i
\(211\) 13.7322 12.7416i 0.945364 0.877170i −0.0472008 0.998885i \(-0.515030\pi\)
0.992565 + 0.121716i \(0.0388396\pi\)
\(212\) −26.3346 + 3.96931i −1.80867 + 0.272613i
\(213\) 6.10160 0.482926i 0.418075 0.0330896i
\(214\) −14.5918 25.2737i −0.997474 1.72768i
\(215\) 1.29170 + 2.23728i 0.0880929 + 0.152581i
\(216\) 4.82826 + 3.75226i 0.328521 + 0.255309i
\(217\) 0.100983 + 0.745889i 0.00685520 + 0.0506342i
\(218\) 13.3171 9.07941i 0.901944 0.614935i
\(219\) 9.10698 2.11873i 0.615392 0.143170i
\(220\) 2.94397 + 12.8984i 0.198482 + 0.869608i
\(221\) −0.454820 1.99270i −0.0305945 0.134043i
\(222\) −6.13968 + 20.2040i −0.412068 + 1.35600i
\(223\) −14.8260 + 10.1082i −0.992819 + 0.676893i −0.946725 0.322044i \(-0.895630\pi\)
−0.0460947 + 0.998937i \(0.514678\pi\)
\(224\) −11.4909 17.4107i −0.767771 1.16330i
\(225\) −2.92602 12.3428i −0.195068 0.822855i
\(226\) 0.877595 + 1.52004i 0.0583767 + 0.101111i
\(227\) 2.32878 + 4.03357i 0.154567 + 0.267717i 0.932901 0.360133i \(-0.117269\pi\)
−0.778335 + 0.627850i \(0.783935\pi\)
\(228\) −2.70275 3.92880i −0.178994 0.260191i
\(229\) −6.69733 + 1.00946i −0.442572 + 0.0667070i −0.366548 0.930399i \(-0.619461\pi\)
−0.0760236 + 0.997106i \(0.524222\pi\)
\(230\) 0.238836 0.221607i 0.0157484 0.0146124i
\(231\) 22.1815 + 15.4782i 1.45944 + 1.01839i
\(232\) −5.06169 4.69656i −0.332316 0.308344i
\(233\) 8.68808 + 5.92343i 0.569175 + 0.388057i 0.813438 0.581652i \(-0.197594\pi\)
−0.244263 + 0.969709i \(0.578546\pi\)
\(234\) −6.91349 3.25839i −0.451949 0.213008i
\(235\) 2.16553 0.326401i 0.141264 0.0212921i
\(236\) −3.85627 16.8954i −0.251022 1.09980i
\(237\) −9.06635 + 5.28515i −0.588923 + 0.343307i
\(238\) −1.58341 + 9.53090i −0.102637 + 0.617797i
\(239\) 2.05187 5.22808i 0.132724 0.338176i −0.849026 0.528352i \(-0.822810\pi\)
0.981750 + 0.190175i \(0.0609056\pi\)
\(240\) −0.0165004 3.94463i −0.00106510 0.254625i
\(241\) 1.41116 + 18.8306i 0.0909007 + 1.21299i 0.837019 + 0.547173i \(0.184296\pi\)
−0.746119 + 0.665813i \(0.768085\pi\)
\(242\) 18.5802 + 47.3415i 1.19438 + 3.04322i
\(243\) 13.6601 + 7.51019i 0.876293 + 0.481779i
\(244\) −9.30732 −0.595840
\(245\) 3.68775 + 4.92074i 0.235602 + 0.314375i
\(246\) −5.86505 37.8375i −0.373942 2.41243i
\(247\) 0.944524 + 0.876390i 0.0600986 + 0.0557634i
\(248\) −0.208739 + 0.261750i −0.0132549 + 0.0166212i
\(249\) 23.9320 5.56774i 1.51663 0.352841i
\(250\) 10.7834 13.5220i 0.682004 0.855206i
\(251\) 1.90927 + 2.39414i 0.120512 + 0.151117i 0.838428 0.545013i \(-0.183475\pi\)
−0.717916 + 0.696130i \(0.754904\pi\)
\(252\) 13.6761 + 14.9378i 0.861511 + 0.940990i
\(253\) 0.639757 0.802230i 0.0402212 0.0504358i
\(254\) 6.65672 + 29.1650i 0.417679 + 1.82997i
\(255\) −1.76341 + 1.91652i −0.110429 + 0.120017i
\(256\) −0.879300 + 3.85247i −0.0549563 + 0.240779i
\(257\) −1.10062 + 14.6868i −0.0686548 + 0.916135i 0.851443 + 0.524447i \(0.175728\pi\)
−0.920098 + 0.391688i \(0.871891\pi\)
\(258\) 4.75592 + 9.77101i 0.296091 + 0.608316i
\(259\) −6.76391 + 13.5216i −0.420289 + 0.840194i
\(260\) −0.595608 2.60953i −0.0369380 0.161836i
\(261\) −14.6264 9.79389i −0.905352 0.606226i
\(262\) 2.93972 39.2278i 0.181616 2.42350i
\(263\) 3.29570 + 5.70833i 0.203222 + 0.351991i 0.949565 0.313571i \(-0.101525\pi\)
−0.746343 + 0.665562i \(0.768192\pi\)
\(264\) 1.84283 + 11.8887i 0.113418 + 0.731701i
\(265\) −7.57569 5.16502i −0.465371 0.317285i
\(266\) −2.55981 5.52649i −0.156952 0.338851i
\(267\) −4.20649 + 13.8424i −0.257433 + 0.847143i
\(268\) −24.0906 11.6014i −1.47157 0.708670i
\(269\) −9.28415 2.86378i −0.566064 0.174608i −0.00150308 0.999999i \(-0.500478\pi\)
−0.564561 + 0.825391i \(0.690955\pi\)
\(270\) 1.57216 + 9.61066i 0.0956785 + 0.584886i
\(271\) −1.54814 20.6584i −0.0940426 1.25491i −0.822079 0.569373i \(-0.807186\pi\)
0.728037 0.685538i \(-0.240433\pi\)
\(272\) 3.66646 2.49975i 0.222312 0.151570i
\(273\) −4.48765 3.13147i −0.271605 0.189525i
\(274\) 1.97204 + 1.34452i 0.119135 + 0.0812252i
\(275\) 12.4785 21.6134i 0.752482 1.30334i
\(276\) 0.598674 0.481537i 0.0360360 0.0289851i
\(277\) 13.9637 + 9.52030i 0.838999 + 0.572020i 0.904811 0.425812i \(-0.140012\pi\)
−0.0658129 + 0.997832i \(0.520964\pi\)
\(278\) 14.4290 36.7645i 0.865394 2.20499i
\(279\) −0.420539 + 0.742675i −0.0251770 + 0.0444628i
\(280\) −0.448255 + 2.69814i −0.0267884 + 0.161245i
\(281\) 13.3938 + 12.4276i 0.799007 + 0.741370i 0.969791 0.243938i \(-0.0784394\pi\)
−0.170784 + 0.985309i \(0.554630\pi\)
\(282\) 9.18343 0.726845i 0.546865 0.0432830i
\(283\) 2.61419 11.4535i 0.155398 0.680841i −0.835865 0.548936i \(-0.815033\pi\)
0.991262 0.131906i \(-0.0421096\pi\)
\(284\) 5.62187 + 7.04961i 0.333597 + 0.418317i
\(285\) 0.237899 1.62443i 0.0140919 0.0962230i
\(286\) −5.49364 13.9976i −0.324846 0.827693i
\(287\) 0.412064 27.4117i 0.0243234 1.61806i
\(288\) 1.57027 23.6018i 0.0925291 1.39075i
\(289\) 13.9131 + 2.09706i 0.818417 + 0.123357i
\(290\) −0.821783 10.9659i −0.0482568 0.643942i
\(291\) 0.113924 + 27.2348i 0.00667832 + 1.59654i
\(292\) 10.0973 + 9.36896i 0.590902 + 0.548277i
\(293\) 4.17807 + 7.23663i 0.244085 + 0.422768i 0.961874 0.273493i \(-0.0881789\pi\)
−0.717789 + 0.696261i \(0.754846\pi\)
\(294\) 14.0133 + 21.7419i 0.817272 + 1.26802i
\(295\) 2.98317 5.16700i 0.173687 0.300834i
\(296\) −6.42604 + 1.98217i −0.373506 + 0.115211i
\(297\) 9.40708 + 29.1913i 0.545854 + 1.69385i
\(298\) 8.99627 6.13356i 0.521140 0.355307i
\(299\) −0.129432 + 0.162303i −0.00748526 + 0.00938621i
\(300\) 12.6530 13.7516i 0.730519 0.793947i
\(301\) 2.18137 + 7.46860i 0.125732 + 0.430483i
\(302\) −5.56247 0.838407i −0.320084 0.0482449i
\(303\) −26.3483 + 10.4684i −1.51367 + 0.601392i
\(304\) −1.02200 + 2.60401i −0.0586155 + 0.149350i
\(305\) −2.34893 2.17949i −0.134500 0.124797i
\(306\) −7.96808 + 7.51832i −0.455505 + 0.429794i
\(307\) −2.12785 + 9.32270i −0.121443 + 0.532075i 0.877206 + 0.480113i \(0.159404\pi\)
−0.998649 + 0.0519615i \(0.983453\pi\)
\(308\) −0.598919 + 39.8418i −0.0341266 + 2.27019i
\(309\) 7.72159 + 6.10510i 0.439266 + 0.347307i
\(310\) −0.527226 + 0.0794666i −0.0299444 + 0.00451340i
\(311\) 25.6903 12.3718i 1.45676 0.701540i 0.473008 0.881058i \(-0.343168\pi\)
0.983755 + 0.179518i \(0.0574539\pi\)
\(312\) −0.372832 2.40526i −0.0211074 0.136171i
\(313\) −10.5096 −0.594035 −0.297018 0.954872i \(-0.595992\pi\)
−0.297018 + 0.954872i \(0.595992\pi\)
\(314\) −15.3894 + 7.41116i −0.868476 + 0.418236i
\(315\) −0.0464744 + 6.97243i −0.00261853 + 0.392852i
\(316\) −13.9289 6.70781i −0.783563 0.377344i
\(317\) −23.5172 11.3253i −1.32086 0.636091i −0.365298 0.930891i \(-0.619033\pi\)
−0.955559 + 0.294800i \(0.904747\pi\)
\(318\) −30.2546 23.9209i −1.69659 1.34142i
\(319\) −7.70643 33.7641i −0.431477 1.89043i
\(320\) 8.44596 5.75836i 0.472144 0.321902i
\(321\) 6.88883 22.6693i 0.384497 1.26527i
\(322\) 0.857087 0.477809i 0.0477636 0.0266272i
\(323\) 1.66399 0.801334i 0.0925868 0.0445874i
\(324\) 2.09904 + 22.8683i 0.116613 + 1.27046i
\(325\) −2.52458 + 4.37270i −0.140039 + 0.242554i
\(326\) −21.6370 14.7518i −1.19836 0.817029i
\(327\) 12.7692 + 2.85835i 0.706139 + 0.158067i
\(328\) 8.93871 8.29391i 0.493557 0.457954i
\(329\) 6.56921 + 0.591712i 0.362172 + 0.0326221i
\(330\) −10.7268 + 15.8756i −0.590492 + 0.873925i
\(331\) 17.3472 8.35398i 0.953489 0.459176i 0.108581 0.994088i \(-0.465369\pi\)
0.844908 + 0.534911i \(0.179655\pi\)
\(332\) 26.5345 + 24.6204i 1.45627 + 1.35122i
\(333\) −15.3829 + 7.56719i −0.842976 + 0.414679i
\(334\) −30.7180 + 28.5021i −1.68081 + 1.55957i
\(335\) −3.36316 8.56920i −0.183749 0.468185i
\(336\) 2.76916 11.5533i 0.151070 0.630284i
\(337\) −1.15945 + 2.95422i −0.0631590 + 0.160927i −0.958969 0.283510i \(-0.908501\pi\)
0.895810 + 0.444437i \(0.146596\pi\)
\(338\) −9.02122 22.9857i −0.490690 1.25026i
\(339\) −0.414315 + 1.36340i −0.0225025 + 0.0740496i
\(340\) −3.79379 0.571822i −0.205747 0.0310114i
\(341\) −1.60457 + 0.494945i −0.0868925 + 0.0268028i
\(342\) 1.48036 6.74550i 0.0800485 0.364755i
\(343\) 7.27528 + 17.0315i 0.392828 + 0.919612i
\(344\) −1.73038 + 2.99710i −0.0932958 + 0.161593i
\(345\) 0.263852 + 0.0186634i 0.0142053 + 0.00100480i
\(346\) 24.6614 30.9244i 1.32580 1.66250i
\(347\) −6.74380 3.24764i −0.362026 0.174343i 0.244024 0.969769i \(-0.421533\pi\)
−0.606050 + 0.795427i \(0.707247\pi\)
\(348\) −0.108471 25.9314i −0.00581466 1.39007i
\(349\) −6.93296 + 1.04498i −0.371113 + 0.0559363i −0.331951 0.943297i \(-0.607707\pi\)
−0.0391618 + 0.999233i \(0.512469\pi\)
\(350\) 18.8815 14.5986i 1.00926 0.780331i
\(351\) −1.90319 5.90582i −0.101585 0.315229i
\(352\) 34.1149 31.6540i 1.81833 1.68716i
\(353\) 7.01719 17.8795i 0.373487 0.951630i −0.613335 0.789823i \(-0.710172\pi\)
0.986822 0.161807i \(-0.0517324\pi\)
\(354\) 14.0509 20.7953i 0.746799 1.10526i
\(355\) −0.231984 + 3.09562i −0.0123124 + 0.164298i
\(356\) −20.3661 + 6.28211i −1.07940 + 0.332951i
\(357\) −6.52838 + 4.34799i −0.345519 + 0.230120i
\(358\) −49.3638 15.2267i −2.60896 0.804758i
\(359\) −4.92996 + 12.5613i −0.260193 + 0.662961i −0.999951 0.00991192i \(-0.996845\pi\)
0.739758 + 0.672873i \(0.234940\pi\)
\(360\) −2.25572 + 2.12839i −0.118887 + 0.112176i
\(361\) 8.91787 15.4462i 0.469362 0.812958i
\(362\) 46.1869 2.42753
\(363\) −17.7587 + 37.2743i −0.932088 + 1.95639i
\(364\) 0.121170 8.06057i 0.00635104 0.422488i
\(365\) 0.354388 + 4.72898i 0.0185495 + 0.247526i
\(366\) −9.20924 9.84231i −0.481375 0.514466i
\(367\) 8.83207 8.19496i 0.461030 0.427774i −0.415153 0.909752i \(-0.636272\pi\)
0.876183 + 0.481978i \(0.160081\pi\)
\(368\) −0.430675 0.132846i −0.0224505 0.00692505i
\(369\) 19.1774 24.4648i 0.998337 1.27359i
\(370\) −9.64918 4.64680i −0.501637 0.241576i
\(371\) −18.4765 20.5231i −0.959250 1.06551i
\(372\) −1.25339 + 0.0992026i −0.0649852 + 0.00514342i
\(373\) −8.21016 + 14.2204i −0.425106 + 0.736305i −0.996430 0.0844195i \(-0.973096\pi\)
0.571325 + 0.820724i \(0.306430\pi\)
\(374\) −21.5538 −1.11452
\(375\) 13.9975 1.10787i 0.722827 0.0572099i
\(376\) 1.82916 + 2.29370i 0.0943319 + 0.118288i
\(377\) 1.55912 + 6.83096i 0.0802989 + 0.351812i
\(378\) −2.26444 + 29.2425i −0.116470 + 1.50407i
\(379\) −7.70475 + 33.7567i −0.395766 + 1.73397i 0.248016 + 0.968756i \(0.420222\pi\)
−0.643782 + 0.765209i \(0.722636\pi\)
\(380\) 2.17907 1.04938i 0.111784 0.0538323i
\(381\) −13.5971 + 20.1236i −0.696601 + 1.03096i
\(382\) −34.7586 43.5859i −1.77840 2.23005i
\(383\) 34.2248 + 10.5569i 1.74880 + 0.539435i 0.993285 0.115692i \(-0.0369087\pi\)
0.755519 + 0.655127i \(0.227385\pi\)
\(384\) 13.5517 7.89982i 0.691555 0.403136i
\(385\) −9.48088 + 9.91481i −0.483191 + 0.505306i
\(386\) −11.8584 14.8700i −0.603577 0.756862i
\(387\) −3.15437 + 8.23924i −0.160346 + 0.418824i
\(388\) −33.1502 + 22.6014i −1.68295 + 1.14741i
\(389\) −14.0077 2.11133i −0.710221 0.107049i −0.216011 0.976391i \(-0.569305\pi\)
−0.494210 + 0.869342i \(0.664543\pi\)
\(390\) 2.17019 3.21187i 0.109892 0.162639i
\(391\) 0.148780 + 0.257695i 0.00752413 + 0.0130322i
\(392\) −3.23868 + 7.57428i −0.163578 + 0.382559i
\(393\) 24.8855 20.0164i 1.25531 1.00969i
\(394\) −2.69897 + 11.8250i −0.135972 + 0.595733i
\(395\) −1.94454 4.95461i −0.0978406 0.249294i
\(396\) −27.8736 + 35.5587i −1.40070 + 1.78689i
\(397\) 31.9831 + 4.82068i 1.60519 + 0.241943i 0.889653 0.456637i \(-0.150946\pi\)
0.715533 + 0.698579i \(0.246184\pi\)
\(398\) 34.5610 5.20923i 1.73239 0.261115i
\(399\) 1.85631 4.58297i 0.0929315 0.229435i
\(400\) −10.8396 1.63381i −0.541981 0.0816905i
\(401\) 7.25160 + 2.23682i 0.362128 + 0.111702i 0.470479 0.882411i \(-0.344081\pi\)
−0.108352 + 0.994113i \(0.534557\pi\)
\(402\) −11.5685 36.9545i −0.576983 1.84312i
\(403\) 0.324628 0.100135i 0.0161709 0.00498806i
\(404\) −34.5094 23.5281i −1.71691 1.17057i
\(405\) −4.82531 + 6.26290i −0.239771 + 0.311206i
\(406\) 5.42794 32.6719i 0.269384 1.62148i
\(407\) −32.2304 9.94175i −1.59760 0.492794i
\(408\) −3.40458 0.762105i −0.168552 0.0377298i
\(409\) −14.8287 + 7.14114i −0.733233 + 0.353106i −0.762955 0.646452i \(-0.776252\pi\)
0.0297218 + 0.999558i \(0.490538\pi\)
\(410\) 19.4196 0.959067
\(411\) 0.296813 + 1.91485i 0.0146407 + 0.0944523i
\(412\) −1.08367 + 14.4606i −0.0533888 + 0.712423i
\(413\) 12.4189 12.9873i 0.611094 0.639063i
\(414\) 1.10158 + 0.156623i 0.0541398 + 0.00769761i
\(415\) 0.931286 + 12.4272i 0.0457150 + 0.610025i
\(416\) −6.90194 + 6.40407i −0.338396 + 0.313985i
\(417\) 29.7982 11.8390i 1.45922 0.579759i
\(418\) 11.2264 7.65400i 0.549099 0.374369i
\(419\) 0.379860 + 5.06888i 0.0185574 + 0.247631i 0.998766 + 0.0496636i \(0.0158149\pi\)
−0.980209 + 0.197967i \(0.936566\pi\)
\(420\) −8.54921 + 5.69389i −0.417159 + 0.277833i
\(421\) −1.47377 + 19.6660i −0.0718270 + 0.958465i 0.838587 + 0.544767i \(0.183382\pi\)
−0.910414 + 0.413697i \(0.864237\pi\)
\(422\) 19.9829 + 34.6113i 0.972750 + 1.68485i
\(423\) 5.52481 + 5.04092i 0.268626 + 0.245098i
\(424\) 0.917896 12.2485i 0.0445770 0.594838i
\(425\) 4.51243 + 5.65841i 0.218885 + 0.274473i
\(426\) −1.89219 + 12.9203i −0.0916768 + 0.625992i
\(427\) −5.31600 8.05464i −0.257259 0.389791i
\(428\) 33.3528 10.2880i 1.61217 0.497289i
\(429\) 5.25075 11.0210i 0.253508 0.532098i
\(430\) −5.26667 + 1.62455i −0.253981 + 0.0783429i
\(431\) −35.4125 + 5.33758i −1.70576 + 0.257102i −0.928301 0.371830i \(-0.878731\pi\)
−0.777460 + 0.628932i \(0.783492\pi\)
\(432\) 10.4260 8.53069i 0.501622 0.410433i
\(433\) 16.0468 20.1220i 0.771159 0.967002i −0.228821 0.973469i \(-0.573487\pi\)
0.999979 + 0.00646642i \(0.00205834\pi\)
\(434\) −1.59936 0.144060i −0.0767716 0.00691509i
\(435\) 6.04496 6.56982i 0.289834 0.314999i
\(436\) 7.04257 + 17.9442i 0.337278 + 0.859370i
\(437\) −0.169003 0.0813875i −0.00808451 0.00389329i
\(438\) 0.0834425 + 19.9480i 0.00398704 + 0.953150i
\(439\) 1.61111 7.05874i 0.0768941 0.336895i −0.921818 0.387622i \(-0.873297\pi\)
0.998713 + 0.0507268i \(0.0161538\pi\)
\(440\) −6.10175 −0.290890
\(441\) −5.11601 + 20.3673i −0.243620 + 0.969871i
\(442\) 4.36064 0.207415
\(443\) −0.326314 + 1.42967i −0.0155036 + 0.0679259i −0.982088 0.188423i \(-0.939662\pi\)
0.966584 + 0.256349i \(0.0825196\pi\)
\(444\) −21.9241 12.5359i −1.04047 0.594928i
\(445\) −6.61097 3.18368i −0.313390 0.150921i
\(446\) −13.9861 35.6361i −0.662262 1.68742i
\(447\) 8.62619 + 1.93094i 0.408005 + 0.0913305i
\(448\) 28.8247 10.8158i 1.36184 0.510997i
\(449\) −0.921362 + 1.15535i −0.0434818 + 0.0545244i −0.803097 0.595848i \(-0.796816\pi\)
0.759615 + 0.650373i \(0.225387\pi\)
\(450\) 27.0616 0.226402i 1.27570 0.0106727i
\(451\) 60.4761 9.11530i 2.84771 0.429223i
\(452\) −2.00594 + 0.618751i −0.0943515 + 0.0291036i
\(453\) −2.58840 3.76258i −0.121614 0.176781i
\(454\) −9.49521 + 2.92888i −0.445632 + 0.137459i
\(455\) 1.91812 2.00591i 0.0899229 0.0940385i
\(456\) 2.04392 0.812062i 0.0957153 0.0380283i
\(457\) −3.51081 4.40242i −0.164229 0.205936i 0.692907 0.721027i \(-0.256330\pi\)
−0.857136 + 0.515091i \(0.827758\pi\)
\(458\) 1.07983 14.4094i 0.0504573 0.673306i
\(459\) −8.87677 0.553302i −0.414332 0.0258259i
\(460\) 0.194834 + 0.337463i 0.00908420 + 0.0157343i
\(461\) −0.0328149 + 0.437884i −0.00152834 + 0.0203943i −0.997916 0.0645290i \(-0.979445\pi\)
0.996387 + 0.0849233i \(0.0270645\pi\)
\(462\) −42.7245 + 38.7886i −1.98772 + 1.80461i
\(463\) −1.43606 19.1628i −0.0667392 0.890573i −0.925634 0.378420i \(-0.876467\pi\)
0.858895 0.512152i \(-0.171152\pi\)
\(464\) −12.5686 + 8.56914i −0.583484 + 0.397812i
\(465\) −0.339554 0.268470i −0.0157465 0.0124500i
\(466\) −16.4450 + 15.2588i −0.761802 + 0.706849i
\(467\) 1.38955 + 18.5422i 0.0643006 + 0.858032i 0.932351 + 0.361555i \(0.117754\pi\)
−0.868050 + 0.496476i \(0.834627\pi\)
\(468\) 5.63924 7.19404i 0.260674 0.332545i
\(469\) −3.71968 27.4745i −0.171759 1.26866i
\(470\) −0.349156 + 4.65917i −0.0161054 + 0.214911i
\(471\) −12.9298 5.01225i −0.595772 0.230952i
\(472\) 7.99261 0.367890
\(473\) −15.6388 + 7.53123i −0.719071 + 0.346287i
\(474\) −6.68876 21.3667i −0.307225 0.981404i
\(475\) −4.35968 1.34478i −0.200036 0.0617029i
\(476\) −10.6917 4.38278i −0.490055 0.200884i
\(477\) −2.60111 31.2040i −0.119097 1.42873i
\(478\) 9.90009 + 6.74977i 0.452820 + 0.308727i
\(479\) 2.78985 0.860554i 0.127471 0.0393197i −0.230363 0.973105i \(-0.573991\pi\)
0.357834 + 0.933785i \(0.383515\pi\)
\(480\) 11.7071 + 2.62061i 0.534355 + 0.119614i
\(481\) 6.52067 + 2.01136i 0.297317 + 0.0917101i
\(482\) −39.8368 6.00443i −1.81452 0.273494i
\(483\) 0.758668 + 0.243062i 0.0345206 + 0.0110597i
\(484\) −60.1455 + 9.06547i −2.73389 + 0.412067i
\(485\) −13.6588 2.05874i −0.620216 0.0934825i
\(486\) −22.1058 + 24.8470i −1.00274 + 1.12708i
\(487\) −4.85926 12.3812i −0.220194 0.561045i 0.777503 0.628880i \(-0.216486\pi\)
−0.997697 + 0.0678345i \(0.978391\pi\)
\(488\) 0.955186 4.18494i 0.0432392 0.189443i
\(489\) −3.25660 21.0094i −0.147268 0.950079i
\(490\) −11.9856 + 5.33430i −0.541456 + 0.240979i
\(491\) 13.5130 + 23.4052i 0.609834 + 1.05626i 0.991267 + 0.131867i \(0.0420972\pi\)
−0.381433 + 0.924396i \(0.624569\pi\)
\(492\) 45.6798 + 3.23114i 2.05941 + 0.145671i
\(493\) 9.93101 + 1.49686i 0.447270 + 0.0674151i
\(494\) −2.27126 + 1.54852i −0.102189 + 0.0696710i
\(495\) −15.3614 + 2.44696i −0.690442 + 0.109982i
\(496\) 0.459859 + 0.576645i 0.0206483 + 0.0258921i
\(497\) −2.88979 + 8.89170i −0.129625 + 0.398847i
\(498\) 0.219276 + 52.4207i 0.00982600 + 2.34903i
\(499\) 8.08717 + 2.49456i 0.362032 + 0.111672i 0.470434 0.882435i \(-0.344097\pi\)
−0.108402 + 0.994107i \(0.534574\pi\)
\(500\) 12.8970 + 16.1723i 0.576769 + 0.723246i
\(501\) −33.9354 2.40040i −1.51612 0.107242i
\(502\) −5.88612 + 2.83460i −0.262710 + 0.126515i
\(503\) −2.81093 + 12.3155i −0.125333 + 0.549120i 0.872802 + 0.488075i \(0.162301\pi\)
−0.998135 + 0.0610455i \(0.980557\pi\)
\(504\) −8.12015 + 4.61628i −0.361700 + 0.205626i
\(505\) −3.19973 14.0190i −0.142386 0.623835i
\(506\) 1.36489 + 1.71152i 0.0606767 + 0.0760862i
\(507\) 8.62237 18.0978i 0.382933 0.803751i
\(508\) −35.7783 −1.58740
\(509\) −17.3099 + 29.9817i −0.767249 + 1.32891i 0.171800 + 0.985132i \(0.445042\pi\)
−0.939049 + 0.343783i \(0.888292\pi\)
\(510\) −3.14912 4.57765i −0.139445 0.202702i
\(511\) −2.34076 + 14.0895i −0.103549 + 0.623284i
\(512\) −23.9146 11.5167i −1.05689 0.508969i
\(513\) 4.81998 2.86406i 0.212807 0.126451i
\(514\) −30.0253 9.26159i −1.32436 0.408511i
\(515\) −3.65973 + 3.39573i −0.161267 + 0.149634i
\(516\) −12.6588 + 2.94506i −0.557274 + 0.129649i
\(517\) 1.09961 + 14.6733i 0.0483610 + 0.645332i
\(518\) −24.9134 20.4879i −1.09463 0.900185i
\(519\) 32.0118 2.53365i 1.40516 0.111215i
\(520\) 1.23447 0.0541352
\(521\) 11.3046 19.5801i 0.495262 0.857819i −0.504723 0.863281i \(-0.668405\pi\)
0.999985 + 0.00546245i \(0.00173876\pi\)
\(522\) 27.3146 25.7728i 1.19553 1.12804i
\(523\) −11.3665 + 28.9615i −0.497024 + 1.26640i 0.433827 + 0.900996i \(0.357163\pi\)
−0.930851 + 0.365400i \(0.880932\pi\)
\(524\) 44.9577 + 13.8676i 1.96399 + 0.605810i
\(525\) 19.1276 + 3.09560i 0.834799 + 0.135103i
\(526\) −13.4377 + 4.14497i −0.585910 + 0.180729i
\(527\) 0.0363898 0.485589i 0.00158517 0.0211526i
\(528\) 26.4380 + 1.87008i 1.15057 + 0.0813848i
\(529\) −8.39180 + 21.3820i −0.364861 + 0.929651i
\(530\) 14.3395 13.3051i 0.622867 0.577936i
\(531\) 20.1217 3.20524i 0.873206 0.139095i
\(532\) 7.12520 1.51398i 0.308917 0.0656393i
\(533\) −12.2352 + 1.84416i −0.529965 + 0.0798793i
\(534\) −26.7947 15.3208i −1.15952 0.662997i
\(535\) 10.8266 + 5.21379i 0.468073 + 0.225412i
\(536\) 7.68882 9.64148i 0.332106 0.416448i
\(537\) −18.3548 37.7098i −0.792068 1.62730i
\(538\) 10.3641 17.9511i 0.446827 0.773926i
\(539\) −34.8215 + 22.2378i −1.49987 + 0.957851i
\(540\) −11.6245 0.724574i −0.500241 0.0311807i
\(541\) −34.6282 + 10.6814i −1.48878 + 0.459229i −0.929210 0.369551i \(-0.879511\pi\)
−0.559574 + 0.828780i \(0.689035\pi\)
\(542\) 43.7036 + 6.58726i 1.87723 + 0.282947i
\(543\) 25.6192 + 27.3804i 1.09943 + 1.17500i
\(544\) 4.93057 + 12.5629i 0.211396 + 0.538629i
\(545\) −2.42461 + 6.17782i −0.103859 + 0.264629i
\(546\) 8.64378 7.84749i 0.369920 0.335842i
\(547\) 0.187962 + 0.478920i 0.00803668 + 0.0204771i 0.934836 0.355080i \(-0.115546\pi\)
−0.926799 + 0.375557i \(0.877451\pi\)
\(548\) −2.09255 + 1.94160i −0.0893893 + 0.0829411i
\(549\) 0.726446 10.9188i 0.0310040 0.466002i
\(550\) 39.0309 + 36.2154i 1.66428 + 1.54423i
\(551\) −5.70415 + 2.74697i −0.243005 + 0.117025i
\(552\) 0.155078 + 0.318607i 0.00660056 + 0.0135608i
\(553\) −2.15068 15.8855i −0.0914562 0.675519i
\(554\) −26.4309 + 24.5243i −1.12294 + 1.04194i
\(555\) −2.59757 8.29772i −0.110261 0.352218i
\(556\) 39.0278 + 26.6087i 1.65515 + 1.12846i
\(557\) −0.117697 + 0.203857i −0.00498698 + 0.00863770i −0.868508 0.495675i \(-0.834921\pi\)
0.863521 + 0.504313i \(0.168254\pi\)
\(558\) −1.34509 1.22728i −0.0569421 0.0519548i
\(559\) 3.16395 1.52368i 0.133821 0.0644447i
\(560\) 5.57533 + 2.28545i 0.235601 + 0.0965779i
\(561\) −11.9556 12.7775i −0.504766 0.539464i
\(562\) −32.2075 + 21.9587i −1.35859 + 0.926271i
\(563\) 3.94513 + 17.2848i 0.166268 + 0.728466i 0.987467 + 0.157825i \(0.0504481\pi\)
−0.821200 + 0.570641i \(0.806695\pi\)
\(564\) −1.59652 + 10.9014i −0.0672255 + 0.459033i
\(565\) −0.651142 0.313573i −0.0273937 0.0131921i
\(566\) 22.5818 + 10.8748i 0.949183 + 0.457103i
\(567\) −18.5915 + 14.8780i −0.780770 + 0.624818i
\(568\) −3.74674 + 1.80434i −0.157210 + 0.0757083i
\(569\) 37.3256 1.56477 0.782385 0.622795i \(-0.214003\pi\)
0.782385 + 0.622795i \(0.214003\pi\)
\(570\) 3.26581 + 1.26600i 0.136790 + 0.0530267i
\(571\) −4.50016 + 2.16716i −0.188326 + 0.0906930i −0.525671 0.850688i \(-0.676186\pi\)
0.337345 + 0.941381i \(0.390471\pi\)
\(572\) 17.7834 2.68041i 0.743560 0.112074i
\(573\) 6.55834 44.7820i 0.273978 1.87079i
\(574\) 56.8194 + 13.8704i 2.37160 + 0.578939i
\(575\) 0.163567 0.716635i 0.00682123 0.0298857i
\(576\) 33.4433 + 10.0103i 1.39347 + 0.417094i
\(577\) −8.41955 7.81220i −0.350511 0.325226i 0.485193 0.874407i \(-0.338749\pi\)
−0.835704 + 0.549181i \(0.814940\pi\)
\(578\) −10.9669 + 27.9431i −0.456161 + 1.16228i
\(579\) 2.23748 15.2780i 0.0929863 0.634934i
\(580\) 13.0051 + 1.96020i 0.540008 + 0.0813931i
\(581\) −6.15121 + 37.0255i −0.255195 + 1.53608i
\(582\) −56.7014 12.6924i −2.35035 0.526118i
\(583\) 38.4104 48.1651i 1.59080 1.99479i
\(584\) −5.24892 + 3.57865i −0.217202 + 0.148086i
\(585\) 3.10783 0.495055i 0.128493 0.0204680i
\(586\) −17.0354 + 5.25471i −0.703724 + 0.217070i
\(587\) 10.0798 17.4588i 0.416040 0.720602i −0.579497 0.814974i \(-0.696751\pi\)
0.995537 + 0.0943725i \(0.0300845\pi\)
\(588\) −29.0808 + 10.5534i −1.19927 + 0.435214i
\(589\) 0.153484 + 0.265843i 0.00632422 + 0.0109539i
\(590\) 9.33092 + 8.65783i 0.384148 + 0.356437i
\(591\) −8.50712 + 4.95915i −0.349936 + 0.203992i
\(592\) 1.10712 + 14.7736i 0.0455026 + 0.607189i
\(593\) −3.48449 0.525203i −0.143091 0.0215675i 0.0771062 0.997023i \(-0.475432\pi\)
−0.220197 + 0.975455i \(0.570670\pi\)
\(594\) −65.1825 + 5.70814i −2.67447 + 0.234208i
\(595\) −1.67201 3.60979i −0.0685459 0.147987i
\(596\) 4.75758 + 12.1221i 0.194878 + 0.496541i
\(597\) 22.2586 + 17.5989i 0.910985 + 0.720273i
\(598\) −0.276137 0.346265i −0.0112921 0.0141598i
\(599\) 7.01416 30.7310i 0.286591 1.25564i −0.602579 0.798059i \(-0.705860\pi\)
0.889170 0.457577i \(-0.151283\pi\)
\(600\) 4.88471 + 7.10056i 0.199418 + 0.289879i
\(601\) 8.98449 + 8.33639i 0.366485 + 0.340049i 0.841822 0.539755i \(-0.181483\pi\)
−0.475337 + 0.879804i \(0.657674\pi\)
\(602\) −16.5700 + 0.991543i −0.675341 + 0.0404123i
\(603\) 15.4904 27.3562i 0.630818 1.11403i
\(604\) 2.45796 6.26277i 0.100013 0.254829i
\(605\) −17.3021 11.7964i −0.703429 0.479590i
\(606\) −9.26523 59.7732i −0.376374 2.42812i
\(607\) 13.1759 22.8214i 0.534794 0.926291i −0.464379 0.885637i \(-0.653722\pi\)
0.999173 0.0406543i \(-0.0129442\pi\)
\(608\) −7.02933 4.79252i −0.285077 0.194362i
\(609\) 22.3793 14.9049i 0.906854 0.603977i
\(610\) 5.64837 3.85100i 0.228696 0.155922i
\(611\) −0.222468 2.96863i −0.00900009 0.120098i
\(612\) −6.64587 11.2918i −0.268643 0.456442i
\(613\) −20.4540 6.30922i −0.826129 0.254827i −0.147271 0.989096i \(-0.547049\pi\)
−0.678859 + 0.734269i \(0.737525\pi\)
\(614\) −18.3807 8.85166i −0.741783 0.357224i
\(615\) 10.7718 + 11.5123i 0.434361 + 0.464220i
\(616\) −17.8530 4.35815i −0.719317 0.175595i
\(617\) 0.0736029 + 0.0501816i 0.00296314 + 0.00202024i 0.564801 0.825227i \(-0.308953\pi\)
−0.561838 + 0.827248i \(0.689905\pi\)
\(618\) −16.3641 + 13.1623i −0.658260 + 0.529464i
\(619\) 21.7991 + 37.7571i 0.876179 + 1.51759i 0.855502 + 0.517800i \(0.173249\pi\)
0.0206770 + 0.999786i \(0.493418\pi\)
\(620\) 0.0476542 0.635901i 0.00191384 0.0255384i
\(621\) 0.518184 + 0.739913i 0.0207940 + 0.0296917i
\(622\) 13.5367 + 59.3080i 0.542771 + 2.37804i
\(623\) −17.0690 14.0369i −0.683853 0.562377i
\(624\) −5.34880 0.378344i −0.214123 0.0151459i
\(625\) 1.04772 13.9808i 0.0419088 0.559234i
\(626\) 4.98927 21.8594i 0.199411 0.873679i
\(627\) 10.7645 + 2.40961i 0.429894 + 0.0962304i
\(628\) −4.54584 19.9166i −0.181399 0.794759i
\(629\) 6.09845 7.64722i 0.243161 0.304915i
\(630\) −14.4803 3.40673i −0.576909 0.135728i
\(631\) 28.9765 + 36.3354i 1.15354 + 1.44649i 0.873714 + 0.486439i \(0.161705\pi\)
0.279824 + 0.960051i \(0.409724\pi\)
\(632\) 4.44559 5.57459i 0.176836 0.221745i
\(633\) −9.43396 + 31.0446i −0.374966 + 1.23391i
\(634\) 34.7206 43.5382i 1.37893 1.72912i
\(635\) −9.02954 8.37819i −0.358326 0.332478i
\(636\) 35.9438 28.9110i 1.42527 1.14640i
\(637\) 7.04490 4.49904i 0.279129 0.178258i
\(638\) 73.8864 2.92519
\(639\) −8.70897 + 6.04502i −0.344521 + 0.239137i
\(640\) 2.90655 + 7.40576i 0.114891 + 0.292738i
\(641\) −1.91288 25.5256i −0.0755541 1.00820i −0.898183 0.439621i \(-0.855113\pi\)
0.822629 0.568578i \(-0.192506\pi\)
\(642\) 43.8807 + 25.0904i 1.73183 + 0.990239i
\(643\) −13.9434 + 35.5273i −0.549875 + 1.40106i 0.338074 + 0.941119i \(0.390224\pi\)
−0.887950 + 0.459940i \(0.847871\pi\)
\(644\) 0.329030 + 1.12653i 0.0129656 + 0.0443917i
\(645\) −3.88441 2.22105i −0.152949 0.0874539i
\(646\) 0.876785 + 3.84145i 0.0344967 + 0.151140i
\(647\) −0.379929 + 0.0572651i −0.0149366 + 0.00225132i −0.156506 0.987677i \(-0.550023\pi\)
0.141570 + 0.989928i \(0.454785\pi\)
\(648\) −10.4979 1.40310i −0.412396 0.0551189i
\(649\) 33.1220 + 22.5822i 1.30015 + 0.886428i
\(650\) −7.89652 7.32690i −0.309727 0.287385i
\(651\) −0.801741 1.02803i −0.0314227 0.0402919i
\(652\) 22.9592 21.3030i 0.899151 0.834290i
\(653\) 38.9252 5.86703i 1.52326 0.229595i 0.666577 0.745436i \(-0.267759\pi\)
0.856684 + 0.515841i \(0.172521\pi\)
\(654\) −12.0073 + 25.2025i −0.469521 + 0.985494i
\(655\) 8.09882 + 14.0276i 0.316447 + 0.548103i
\(656\) −13.4317 23.2644i −0.524420 0.908322i
\(657\) −11.7792 + 11.1143i −0.459551 + 0.433611i
\(658\) −4.34938 + 13.3828i −0.169556 + 0.521714i
\(659\) 20.3774 13.8931i 0.793790 0.541197i −0.0971758 0.995267i \(-0.530981\pi\)
0.890966 + 0.454070i \(0.150029\pi\)
\(660\) −15.6564 16.7327i −0.609424 0.651318i
\(661\) 10.0168 + 43.8864i 0.389608 + 1.70698i 0.666012 + 0.745941i \(0.268000\pi\)
−0.276404 + 0.961042i \(0.589143\pi\)
\(662\) 9.14056 + 40.0474i 0.355258 + 1.55649i
\(663\) 2.41879 + 2.58506i 0.0939380 + 0.100396i
\(664\) −13.7935 + 9.40424i −0.535291 + 0.364955i
\(665\) 2.15275 + 1.28642i 0.0834801 + 0.0498851i
\(666\) −8.43661 35.5882i −0.326912 1.37901i
\(667\) −0.510018 0.883377i −0.0197480 0.0342045i
\(668\) −25.0587 43.4029i −0.969550 1.67931i
\(669\) 13.3678 28.0581i 0.516827 1.08479i
\(670\) 19.4202 2.92712i 0.750267 0.113085i
\(671\) 15.7824 14.6439i 0.609273 0.565323i
\(672\) 32.3819 + 16.0293i 1.24916 + 0.618346i
\(673\) 34.9655 + 32.4432i 1.34782 + 1.25059i 0.941564 + 0.336834i \(0.109356\pi\)
0.406255 + 0.913760i \(0.366835\pi\)
\(674\) −5.59422 3.81407i −0.215481 0.146913i
\(675\) 15.1449 + 15.9170i 0.582929 + 0.612646i
\(676\) 29.2025 4.40156i 1.12317 0.169291i
\(677\) −0.105812 0.463595i −0.00406670 0.0178174i 0.972854 0.231420i \(-0.0743373\pi\)
−0.976921 + 0.213603i \(0.931480\pi\)
\(678\) −2.63912 1.50901i −0.101355 0.0579533i
\(679\) −38.4936 15.7794i −1.47725 0.605557i
\(680\) 0.646461 1.64716i 0.0247906 0.0631655i
\(681\) −7.00315 4.00431i −0.268361 0.153445i
\(682\) −0.267715 3.57241i −0.0102513 0.136795i
\(683\) −7.76519 19.7854i −0.297127 0.757067i −0.998998 0.0447625i \(-0.985747\pi\)
0.701871 0.712304i \(-0.252348\pi\)
\(684\) 7.47136 + 3.52132i 0.285674 + 0.134641i
\(685\) −0.982771 −0.0375498
\(686\) −38.8785 + 7.04682i −1.48439 + 0.269049i
\(687\) 9.14110 7.35255i 0.348755 0.280517i
\(688\) 5.58891 + 5.18575i 0.213075 + 0.197705i
\(689\) −7.77098 + 9.74450i −0.296051 + 0.371236i
\(690\) −0.164079 + 0.539940i −0.00624639 + 0.0205552i
\(691\) 15.7167 19.7081i 0.597892 0.749733i −0.387156 0.922014i \(-0.626543\pi\)
0.985048 + 0.172282i \(0.0551139\pi\)
\(692\) 29.4949 + 36.9855i 1.12123 + 1.40598i
\(693\) −46.6932 3.81231i −1.77373 0.144818i
\(694\) 9.95648 12.4850i 0.377943 0.473926i
\(695\) 3.61868 + 15.8545i 0.137265 + 0.601395i
\(696\) 11.6709 + 2.61249i 0.442384 + 0.0990263i
\(697\) −3.94658 + 17.2911i −0.149488 + 0.654948i
\(698\) 1.11783 14.9164i 0.0423103 0.564592i
\(699\) −18.1675 1.28507i −0.687158 0.0486057i
\(700\) 11.9972 + 25.9012i 0.453450 + 0.978975i
\(701\) 7.50396 + 32.8770i 0.283421 + 1.24175i 0.893375 + 0.449311i \(0.148330\pi\)
−0.609955 + 0.792436i \(0.708812\pi\)
\(702\) 13.1874 1.15484i 0.497725 0.0435866i
\(703\) −0.460782 + 6.14871i −0.0173787 + 0.231903i
\(704\) 34.3413 + 59.4808i 1.29428 + 2.24177i
\(705\) −2.95570 + 2.37739i −0.111318 + 0.0895377i
\(706\) 33.8573 + 23.0835i 1.27424 + 0.868760i
\(707\) 0.650952 43.3031i 0.0244816 1.62858i
\(708\) 20.5081 + 21.9179i 0.770742 + 0.823725i
\(709\) −6.76265 3.25672i −0.253977 0.122309i 0.302564 0.953129i \(-0.402157\pi\)
−0.556541 + 0.830820i \(0.687872\pi\)
\(710\) −6.32862 1.95212i −0.237509 0.0732618i
\(711\) 8.95637 15.8170i 0.335890 0.593185i
\(712\) −0.734568 9.80213i −0.0275291 0.367350i
\(713\) −0.0408634 + 0.0278602i −0.00153035 + 0.00104337i
\(714\) −5.94437 15.6429i −0.222462 0.585421i
\(715\) 5.11575 + 3.48786i 0.191318 + 0.130438i
\(716\) 30.8920 53.5065i 1.15449 1.99963i
\(717\) 1.49007 + 9.61295i 0.0556476 + 0.359002i
\(718\) −23.7866 16.2174i −0.887708 0.605229i
\(719\) 1.42574 3.63272i 0.0531710 0.135477i −0.901820 0.432111i \(-0.857769\pi\)
0.954991 + 0.296634i \(0.0958640\pi\)
\(720\) 3.46556 + 5.88821i 0.129154 + 0.219441i
\(721\) −13.1333 + 7.32155i −0.489110 + 0.272669i
\(722\) 27.8938 + 25.8817i 1.03810 + 0.963216i
\(723\) −18.5374 26.9465i −0.689413 1.00215i
\(724\) −12.2919 + 53.8544i −0.456826 + 2.00148i
\(725\) −15.4686 19.3970i −0.574490 0.720388i
\(726\) −69.0983 54.6327i −2.56448 2.02761i
\(727\) −1.56585 3.98972i −0.0580742 0.147971i 0.898892 0.438171i \(-0.144373\pi\)
−0.956966 + 0.290200i \(0.906278\pi\)
\(728\) 3.61192 + 0.881718i 0.133867 + 0.0326786i
\(729\) −26.9915 + 0.677572i −0.999685 + 0.0250953i
\(730\) −10.0043 1.50791i −0.370276 0.0558102i
\(731\) −0.376164 5.01956i −0.0139129 0.185655i
\(732\) 13.9271 8.11870i 0.514762 0.300076i
\(733\) −6.60728 6.13066i −0.244045 0.226441i 0.548661 0.836045i \(-0.315138\pi\)
−0.792706 + 0.609604i \(0.791328\pi\)
\(734\) 12.8523 + 22.2608i 0.474386 + 0.821660i
\(735\) −9.81054 4.14643i −0.361867 0.152943i
\(736\) 0.685351 1.18706i 0.0252624 0.0437557i
\(737\) 59.1038 18.2311i 2.17712 0.671552i
\(738\) 41.7816 + 51.5026i 1.53800 + 1.89584i
\(739\) 13.5450 9.23481i 0.498260 0.339708i −0.287973 0.957639i \(-0.592981\pi\)
0.786232 + 0.617931i \(0.212029\pi\)
\(740\) 7.98620 10.0144i 0.293579 0.368136i
\(741\) −2.17782 0.487498i −0.0800043 0.0179087i
\(742\) 51.4587 28.6872i 1.88911 1.05314i
\(743\) −35.1342 5.29563i −1.28895 0.194278i −0.531436 0.847098i \(-0.678348\pi\)
−0.757513 + 0.652820i \(0.773586\pi\)
\(744\) 0.0840267 0.573755i 0.00308057 0.0210349i
\(745\) −1.63794 + 4.17340i −0.0600094 + 0.152901i
\(746\) −25.6802 23.8277i −0.940218 0.872395i
\(747\) −30.9542 + 29.2070i −1.13256 + 1.06863i
\(748\) 5.73621 25.1320i 0.209736 0.918915i
\(749\) 27.9532 + 22.9877i 1.02139 + 0.839954i
\(750\) −4.34081 + 29.6401i −0.158504 + 1.08230i
\(751\) −41.4512 + 6.24777i −1.51258 + 0.227984i −0.852306 0.523044i \(-0.824797\pi\)
−0.660271 + 0.751028i \(0.729558\pi\)
\(752\) 5.82310 2.80426i 0.212347 0.102261i
\(753\) −4.94535 1.91707i −0.180219 0.0698621i
\(754\) −14.9483 −0.544384
\(755\) 2.08688 1.00499i 0.0759493 0.0365752i
\(756\) −33.4945 10.4228i −1.21818 0.379073i
\(757\) −15.2700 7.35363i −0.554996 0.267272i 0.135293 0.990806i \(-0.456802\pi\)
−0.690289 + 0.723533i \(0.742517\pi\)
\(758\) −66.5548 32.0511i −2.41738 1.16415i
\(759\) −0.257531 + 1.75848i −0.00934777 + 0.0638289i
\(760\) 0.248213 + 1.08749i 0.00900363 + 0.0394475i
\(761\) −34.8108 + 23.7336i −1.26189 + 0.860343i −0.994652 0.103287i \(-0.967064\pi\)
−0.267240 + 0.963630i \(0.586112\pi\)
\(762\) −35.4013 37.8348i −1.28245 1.37061i
\(763\) −11.5066 + 16.3438i −0.416567 + 0.591684i
\(764\) 60.0721 28.9292i 2.17333 1.04662i
\(765\) 0.966937 4.40602i 0.0349597 0.159300i
\(766\) −38.2057 + 66.1743i −1.38043 + 2.39097i
\(767\) −6.70105 4.56870i −0.241961 0.164966i
\(768\) −2.04472 6.53170i −0.0737826 0.235692i
\(769\) 20.8358 19.3328i 0.751359 0.697159i −0.208381 0.978048i \(-0.566819\pi\)
0.959740 + 0.280888i \(0.0906290\pi\)
\(770\) −16.1215 24.4268i −0.580977 0.880279i