Properties

Label 441.2.bd.a.59.2
Level $441$
Weight $2$
Character 441.59
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.bd (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
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 59.2
Character \(\chi\) \(=\) 441.59
Dual form 441.2.bd.a.299.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.56687 + 1.00742i) q^{2} +(1.42091 - 0.990465i) q^{3} +(4.10783 - 3.81151i) q^{4} +(-1.27532 - 0.614163i) q^{5} +(-2.64947 + 3.97385i) q^{6} +(-2.60240 + 0.477010i) q^{7} +(-4.31162 + 8.95316i) q^{8} +(1.03796 - 2.81472i) q^{9} +O(q^{10})\) \(q+(-2.56687 + 1.00742i) q^{2} +(1.42091 - 0.990465i) q^{3} +(4.10783 - 3.81151i) q^{4} +(-1.27532 - 0.614163i) q^{5} +(-2.64947 + 3.97385i) q^{6} +(-2.60240 + 0.477010i) q^{7} +(-4.31162 + 8.95316i) q^{8} +(1.03796 - 2.81472i) q^{9} +(3.89231 + 0.291689i) q^{10} +(-0.259260 - 0.206753i) q^{11} +(2.06168 - 9.48446i) q^{12} +(0.427864 - 0.167924i) q^{13} +(6.19947 - 3.84614i) q^{14} +(-2.42042 + 0.390493i) q^{15} +(1.21021 - 16.1491i) q^{16} +(-1.77059 - 1.64287i) q^{17} +(0.171304 + 8.27069i) q^{18} +(4.18608 - 2.41683i) q^{19} +(-7.57970 + 2.33803i) q^{20} +(-3.22530 + 3.25537i) q^{21} +(0.873776 + 0.269524i) q^{22} +(-6.69104 + 1.52719i) q^{23} +(2.74138 + 16.9921i) q^{24} +(-1.86820 - 2.34265i) q^{25} +(-0.929102 + 0.862081i) q^{26} +(-1.31303 - 5.02752i) q^{27} +(-8.87207 + 11.8785i) q^{28} +(0.620247 + 2.01079i) q^{29} +(5.81953 - 3.44074i) q^{30} +(-7.17604 + 4.14309i) q^{31} +(7.30442 + 23.6804i) q^{32} +(-0.573167 - 0.0369891i) q^{33} +(6.19995 + 2.43330i) q^{34} +(3.61186 + 0.989954i) q^{35} +(-6.46457 - 15.5186i) q^{36} +(-8.11144 + 2.50205i) q^{37} +(-8.31036 + 10.4209i) q^{38} +(0.441633 - 0.662390i) q^{39} +(10.9974 - 8.77014i) q^{40} +(1.10936 - 0.756346i) q^{41} +(4.99941 - 11.6054i) q^{42} +(-5.18324 - 3.53387i) q^{43} +(-1.85304 + 0.138866i) q^{44} +(-3.05243 + 2.95220i) q^{45} +(15.6365 - 10.6608i) q^{46} +(-3.16950 - 8.07576i) q^{47} +(-14.2755 - 24.1451i) q^{48} +(6.54492 - 2.48274i) q^{49} +(7.15546 + 4.13121i) q^{50} +(-4.14305 - 0.580657i) q^{51} +(1.11755 - 2.32061i) q^{52} +(2.76079 - 8.95026i) q^{53} +(8.43523 + 11.5822i) q^{54} +(0.203660 + 0.422905i) q^{55} +(6.94978 - 25.3563i) q^{56} +(3.55424 - 7.58026i) q^{57} +(-3.61781 - 4.53659i) q^{58} +(-7.85699 - 5.35680i) q^{59} +(-8.45432 + 10.8295i) q^{60} +(-6.98029 + 7.52297i) q^{61} +(14.2461 - 17.8641i) q^{62} +(-1.35853 + 7.82013i) q^{63} +(-22.4116 - 28.1032i) q^{64} +(-0.648798 - 0.0486207i) q^{65} +(1.50851 - 0.482475i) q^{66} +(7.33704 + 12.7081i) q^{67} -13.5351 q^{68} +(-7.99472 + 8.79723i) q^{69} +(-10.2685 + 1.09758i) q^{70} +(6.85811 - 1.56532i) q^{71} +(20.7254 + 21.4290i) q^{72} +(0.873201 + 5.79331i) q^{73} +(18.3004 - 14.5941i) q^{74} +(-4.97484 - 1.47830i) q^{75} +(7.98392 - 25.8832i) q^{76} +(0.773321 + 0.414384i) q^{77} +(-0.466308 + 2.14518i) q^{78} +(-0.374423 + 0.648520i) q^{79} +(-11.4616 + 19.8521i) q^{80} +(-6.84528 - 5.84313i) q^{81} +(-2.08562 + 3.05904i) q^{82} +(-0.749585 + 1.90991i) q^{83} +(-0.841133 + 25.6658i) q^{84} +(1.24909 + 3.18262i) q^{85} +(16.8648 + 3.84928i) q^{86} +(2.87293 + 2.24282i) q^{87} +(2.96893 - 1.42976i) q^{88} +(4.01175 - 10.2218i) q^{89} +(4.86108 - 10.6530i) q^{90} +(-1.03337 + 0.641101i) q^{91} +(-21.6648 + 31.7764i) q^{92} +(-6.09291 + 12.9946i) q^{93} +(16.2714 + 17.5364i) q^{94} +(-6.82293 + 0.511308i) q^{95} +(33.8335 + 26.4128i) q^{96} +(7.31521 - 4.22344i) q^{97} +(-14.2988 + 12.9664i) q^{98} +(-0.851054 + 0.515143i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 18 q^{2} - 11 q^{3} - 60 q^{4} - 15 q^{5} - 22 q^{6} - 5 q^{7} + 13 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 18 q^{2} - 11 q^{3} - 60 q^{4} - 15 q^{5} - 22 q^{6} - 5 q^{7} + 13 q^{9} - 22 q^{10} - 21 q^{11} + 24 q^{12} - 10 q^{13} - 24 q^{14} - 10 q^{15} + 42 q^{16} + 9 q^{17} + 12 q^{18} - 36 q^{19} - 15 q^{20} - 38 q^{21} - 9 q^{22} - 84 q^{23} - 38 q^{24} - 97 q^{25} - 6 q^{26} - 20 q^{27} - 26 q^{28} - 123 q^{29} - q^{30} - 6 q^{31} - 30 q^{32} - 8 q^{33} - q^{34} + 70 q^{36} - 13 q^{37} - 75 q^{38} - 24 q^{39} - 7 q^{40} - 15 q^{41} - 133 q^{42} - 9 q^{43} - 51 q^{44} - 41 q^{45} - 108 q^{46} - 36 q^{47} + 15 q^{48} + 5 q^{49} - 45 q^{50} + 10 q^{51} - 35 q^{52} + 12 q^{53} - 50 q^{54} + 14 q^{55} + 33 q^{56} - 7 q^{57} + 33 q^{58} - 3 q^{59} + 180 q^{60} + 55 q^{61} - 66 q^{62} - 20 q^{63} + 64 q^{64} + 3 q^{65} + 285 q^{66} + 13 q^{67} + 6 q^{68} + 82 q^{69} + 11 q^{70} + 63 q^{71} - 21 q^{72} - 22 q^{73} - 21 q^{74} - 107 q^{75} + 21 q^{76} - 69 q^{77} + 63 q^{78} + q^{79} + 45 q^{80} - 211 q^{81} - 28 q^{82} + 9 q^{83} + 239 q^{84} - 10 q^{85} - 21 q^{86} - 109 q^{87} - 29 q^{88} - 132 q^{89} - 275 q^{90} - 13 q^{91} + 195 q^{92} + 19 q^{93} - 4 q^{94} - 129 q^{95} - 5 q^{96} - 3 q^{97} - 21 q^{98} - 148 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{13}{42}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.56687 + 1.00742i −1.81505 + 0.712356i −0.826216 + 0.563353i \(0.809511\pi\)
−0.988837 + 0.149003i \(0.952394\pi\)
\(3\) 1.42091 0.990465i 0.820362 0.571845i
\(4\) 4.10783 3.81151i 2.05392 1.90575i
\(5\) −1.27532 0.614163i −0.570342 0.274662i 0.126406 0.991979i \(-0.459656\pi\)
−0.696747 + 0.717317i \(0.745370\pi\)
\(6\) −2.64947 + 3.97385i −1.08164 + 1.62232i
\(7\) −2.60240 + 0.477010i −0.983613 + 0.180293i
\(8\) −4.31162 + 8.95316i −1.52439 + 3.16542i
\(9\) 1.03796 2.81472i 0.345986 0.938240i
\(10\) 3.89231 + 0.291689i 1.23086 + 0.0922400i
\(11\) −0.259260 0.206753i −0.0781699 0.0623384i 0.583625 0.812023i \(-0.301634\pi\)
−0.661795 + 0.749685i \(0.730205\pi\)
\(12\) 2.06168 9.48446i 0.595157 2.73793i
\(13\) 0.427864 0.167924i 0.118668 0.0465738i −0.305264 0.952268i \(-0.598745\pi\)
0.423932 + 0.905694i \(0.360649\pi\)
\(14\) 6.19947 3.84614i 1.65688 1.02792i
\(15\) −2.42042 + 0.390493i −0.624951 + 0.100825i
\(16\) 1.21021 16.1491i 0.302552 4.03728i
\(17\) −1.77059 1.64287i −0.429432 0.398455i 0.435625 0.900128i \(-0.356527\pi\)
−0.865057 + 0.501674i \(0.832718\pi\)
\(18\) 0.171304 + 8.27069i 0.0403767 + 1.94942i
\(19\) 4.18608 2.41683i 0.960352 0.554460i 0.0640709 0.997945i \(-0.479592\pi\)
0.896281 + 0.443486i \(0.146258\pi\)
\(20\) −7.57970 + 2.33803i −1.69487 + 0.522799i
\(21\) −3.22530 + 3.25537i −0.703819 + 0.710379i
\(22\) 0.873776 + 0.269524i 0.186290 + 0.0574628i
\(23\) −6.69104 + 1.52719i −1.39518 + 0.318440i −0.853038 0.521848i \(-0.825243\pi\)
−0.542139 + 0.840289i \(0.682385\pi\)
\(24\) 2.74138 + 16.9921i 0.559582 + 3.46850i
\(25\) −1.86820 2.34265i −0.373639 0.468529i
\(26\) −0.929102 + 0.862081i −0.182212 + 0.169068i
\(27\) −1.31303 5.02752i −0.252694 0.967546i
\(28\) −8.87207 + 11.8785i −1.67666 + 2.24483i
\(29\) 0.620247 + 2.01079i 0.115177 + 0.373395i 0.994746 0.102377i \(-0.0326449\pi\)
−0.879569 + 0.475772i \(0.842169\pi\)
\(30\) 5.81953 3.44074i 1.06250 0.628190i
\(31\) −7.17604 + 4.14309i −1.28885 + 0.744121i −0.978450 0.206484i \(-0.933798\pi\)
−0.310405 + 0.950605i \(0.600465\pi\)
\(32\) 7.30442 + 23.6804i 1.29125 + 4.18614i
\(33\) −0.573167 0.0369891i −0.0997755 0.00643897i
\(34\) 6.19995 + 2.43330i 1.06328 + 0.417308i
\(35\) 3.61186 + 0.989954i 0.610515 + 0.167333i
\(36\) −6.46457 15.5186i −1.07743 2.58643i
\(37\) −8.11144 + 2.50205i −1.33351 + 0.411334i −0.877900 0.478844i \(-0.841056\pi\)
−0.455613 + 0.890178i \(0.650580\pi\)
\(38\) −8.31036 + 10.4209i −1.34812 + 1.69049i
\(39\) 0.441633 0.662390i 0.0707178 0.106067i
\(40\) 10.9974 8.77014i 1.73884 1.38668i
\(41\) 1.10936 0.756346i 0.173252 0.118121i −0.473589 0.880746i \(-0.657042\pi\)
0.646842 + 0.762624i \(0.276089\pi\)
\(42\) 4.99941 11.6054i 0.771426 1.79075i
\(43\) −5.18324 3.53387i −0.790436 0.538910i 0.0994772 0.995040i \(-0.468283\pi\)
−0.889913 + 0.456130i \(0.849235\pi\)
\(44\) −1.85304 + 0.138866i −0.279356 + 0.0209348i
\(45\) −3.05243 + 2.95220i −0.455029 + 0.440088i
\(46\) 15.6365 10.6608i 2.30548 1.57185i
\(47\) −3.16950 8.07576i −0.462320 1.17797i −0.952008 0.306073i \(-0.900985\pi\)
0.489688 0.871898i \(-0.337111\pi\)
\(48\) −14.2755 24.1451i −2.06050 3.48504i
\(49\) 6.54492 2.48274i 0.934989 0.354676i
\(50\) 7.15546 + 4.13121i 1.01193 + 0.584241i
\(51\) −4.14305 0.580657i −0.580144 0.0813083i
\(52\) 1.11755 2.32061i 0.154976 0.321811i
\(53\) 2.76079 8.95026i 0.379224 1.22941i −0.542000 0.840379i \(-0.682333\pi\)
0.921223 0.389034i \(-0.127191\pi\)
\(54\) 8.43523 + 11.5822i 1.14789 + 1.57614i
\(55\) 0.203660 + 0.422905i 0.0274616 + 0.0570245i
\(56\) 6.94978 25.3563i 0.928704 3.38838i
\(57\) 3.55424 7.58026i 0.470771 1.00403i
\(58\) −3.61781 4.53659i −0.475042 0.595684i
\(59\) −7.85699 5.35680i −1.02289 0.697396i −0.0690222 0.997615i \(-0.521988\pi\)
−0.953870 + 0.300219i \(0.902940\pi\)
\(60\) −8.45432 + 10.8295i −1.09145 + 1.39809i
\(61\) −6.98029 + 7.52297i −0.893735 + 0.963217i −0.999514 0.0311726i \(-0.990076\pi\)
0.105779 + 0.994390i \(0.466266\pi\)
\(62\) 14.2461 17.8641i 1.80926 2.26874i
\(63\) −1.35853 + 7.82013i −0.171159 + 0.985243i
\(64\) −22.4116 28.1032i −2.80145 3.51291i
\(65\) −0.648798 0.0486207i −0.0804735 0.00603065i
\(66\) 1.50851 0.482475i 0.185685 0.0593886i
\(67\) 7.33704 + 12.7081i 0.896362 + 1.55254i 0.832110 + 0.554610i \(0.187133\pi\)
0.0642515 + 0.997934i \(0.479534\pi\)
\(68\) −13.5351 −1.64137
\(69\) −7.99472 + 8.79723i −0.962452 + 1.05906i
\(70\) −10.2685 + 1.09758i −1.22732 + 0.131186i
\(71\) 6.85811 1.56532i 0.813907 0.185769i 0.204746 0.978815i \(-0.434363\pi\)
0.609162 + 0.793046i \(0.291506\pi\)
\(72\) 20.7254 + 21.4290i 2.44251 + 2.52543i
\(73\) 0.873201 + 5.79331i 0.102200 + 0.678056i 0.979996 + 0.199019i \(0.0637757\pi\)
−0.877795 + 0.479036i \(0.840986\pi\)
\(74\) 18.3004 14.5941i 2.12738 1.69653i
\(75\) −4.97484 1.47830i −0.574445 0.170699i
\(76\) 7.98392 25.8832i 0.915818 2.96901i
\(77\) 0.773321 + 0.414384i 0.0881281 + 0.0472234i
\(78\) −0.466308 + 2.14518i −0.0527990 + 0.242894i
\(79\) −0.374423 + 0.648520i −0.0421259 + 0.0729642i −0.886320 0.463074i \(-0.846746\pi\)
0.844194 + 0.536038i \(0.180080\pi\)
\(80\) −11.4616 + 19.8521i −1.28145 + 2.21953i
\(81\) −6.84528 5.84313i −0.760587 0.649236i
\(82\) −2.08562 + 3.05904i −0.230318 + 0.337814i
\(83\) −0.749585 + 1.90991i −0.0822776 + 0.209640i −0.966092 0.258197i \(-0.916871\pi\)
0.883815 + 0.467837i \(0.154967\pi\)
\(84\) −0.841133 + 25.6658i −0.0917752 + 2.80037i
\(85\) 1.24909 + 3.18262i 0.135483 + 0.345204i
\(86\) 16.8648 + 3.84928i 1.81858 + 0.415079i
\(87\) 2.87293 + 2.24282i 0.308011 + 0.240455i
\(88\) 2.96893 1.42976i 0.316488 0.152413i
\(89\) 4.01175 10.2218i 0.425245 1.08351i −0.544365 0.838848i \(-0.683229\pi\)
0.969610 0.244657i \(-0.0786754\pi\)
\(90\) 4.86108 10.6530i 0.512403 1.12293i
\(91\) −1.03337 + 0.641101i −0.108327 + 0.0672056i
\(92\) −21.6648 + 31.7764i −2.25871 + 3.31291i
\(93\) −6.09291 + 12.9946i −0.631805 + 1.34747i
\(94\) 16.2714 + 17.5364i 1.67827 + 1.80874i
\(95\) −6.82293 + 0.511308i −0.700018 + 0.0524591i
\(96\) 33.8335 + 26.4128i 3.45311 + 2.69575i
\(97\) 7.31521 4.22344i 0.742747 0.428825i −0.0803202 0.996769i \(-0.525594\pi\)
0.823067 + 0.567944i \(0.192261\pi\)
\(98\) −14.2988 + 12.9664i −1.44440 + 1.30980i
\(99\) −0.851054 + 0.515143i −0.0855341 + 0.0517739i
\(100\) −16.6033 2.50254i −1.66033 0.250254i
\(101\) 9.13310 + 4.39827i 0.908778 + 0.437644i 0.829051 0.559173i \(-0.188881\pi\)
0.0797263 + 0.996817i \(0.474595\pi\)
\(102\) 11.2197 2.68334i 1.11091 0.265690i
\(103\) 2.50194 5.19532i 0.246523 0.511910i −0.740586 0.671962i \(-0.765452\pi\)
0.987109 + 0.160052i \(0.0511661\pi\)
\(104\) −0.341332 + 4.55476i −0.0334704 + 0.446631i
\(105\) 6.11263 2.17078i 0.596532 0.211847i
\(106\) 1.93011 + 25.7555i 0.187468 + 2.50159i
\(107\) −0.497330 0.195188i −0.0480787 0.0188695i 0.341180 0.939998i \(-0.389173\pi\)
−0.389259 + 0.921129i \(0.627269\pi\)
\(108\) −24.5562 15.6475i −2.36292 1.50569i
\(109\) −4.52761 11.5362i −0.433666 1.10496i −0.966026 0.258446i \(-0.916790\pi\)
0.532359 0.846518i \(-0.321306\pi\)
\(110\) −0.948815 0.880371i −0.0904659 0.0839401i
\(111\) −9.04742 + 11.5893i −0.858743 + 1.10001i
\(112\) 4.55384 + 42.6037i 0.430298 + 4.02567i
\(113\) −1.18503 7.86213i −0.111478 0.739607i −0.972817 0.231576i \(-0.925612\pi\)
0.861339 0.508031i \(-0.169626\pi\)
\(114\) −1.48676 + 23.0382i −0.139248 + 2.15772i
\(115\) 9.47117 + 2.16173i 0.883191 + 0.201583i
\(116\) 10.2120 + 5.89591i 0.948162 + 0.547422i
\(117\) −0.0285541 1.37862i −0.00263983 0.127453i
\(118\) 25.5645 + 5.83492i 2.35340 + 0.537148i
\(119\) 5.39145 + 3.43081i 0.494233 + 0.314502i
\(120\) 6.93979 23.3541i 0.633513 2.13193i
\(121\) −2.42326 10.6170i −0.220296 0.965182i
\(122\) 10.3387 26.3426i 0.936023 2.38495i
\(123\) 0.827159 2.17348i 0.0745824 0.195976i
\(124\) −13.6865 + 44.3706i −1.22909 + 3.98460i
\(125\) 2.51868 + 11.0351i 0.225278 + 0.987006i
\(126\) −4.39100 21.4419i −0.391181 1.91020i
\(127\) 3.31618 14.5291i 0.294263 1.28925i −0.584266 0.811562i \(-0.698617\pi\)
0.878529 0.477689i \(-0.158525\pi\)
\(128\) 42.9170 + 24.7782i 3.79337 + 2.19010i
\(129\) −10.8651 + 0.112508i −0.956617 + 0.00990574i
\(130\) 1.71436 0.528811i 0.150360 0.0463798i
\(131\) 2.91771 1.40509i 0.254921 0.122764i −0.302059 0.953289i \(-0.597674\pi\)
0.556981 + 0.830525i \(0.311960\pi\)
\(132\) −2.49546 + 2.03269i −0.217202 + 0.176923i
\(133\) −9.74098 + 8.28636i −0.844650 + 0.718518i
\(134\) −31.6357 25.2286i −2.73291 2.17942i
\(135\) −1.41317 + 7.21813i −0.121627 + 0.621237i
\(136\) 22.3430 8.76898i 1.91590 0.751934i
\(137\) 2.70362 + 5.61413i 0.230986 + 0.479647i 0.983957 0.178407i \(-0.0570942\pi\)
−0.752971 + 0.658054i \(0.771380\pi\)
\(138\) 11.6589 30.6354i 0.992472 2.60786i
\(139\) 7.01774 + 10.2931i 0.595237 + 0.873052i 0.999128 0.0417550i \(-0.0132949\pi\)
−0.403891 + 0.914807i \(0.632343\pi\)
\(140\) 18.6101 9.70006i 1.57284 0.819805i
\(141\) −12.5023 8.33563i −1.05289 0.701987i
\(142\) −16.0269 + 10.9270i −1.34495 + 0.916972i
\(143\) −0.145647 0.0449262i −0.0121796 0.00375692i
\(144\) −44.1991 20.1685i −3.68326 1.68071i
\(145\) 0.443939 2.94534i 0.0368671 0.244597i
\(146\) −8.07771 13.9910i −0.668516 1.15790i
\(147\) 6.84067 10.0103i 0.564209 0.825632i
\(148\) −23.7838 + 41.1948i −1.95502 + 3.38619i
\(149\) −1.73884 1.38668i −0.142452 0.113601i 0.549671 0.835381i \(-0.314753\pi\)
−0.692123 + 0.721780i \(0.743324\pi\)
\(150\) 14.2591 1.21717i 1.16425 0.0993812i
\(151\) −1.17872 5.16430i −0.0959228 0.420265i 0.904052 0.427423i \(-0.140579\pi\)
−0.999974 + 0.00715816i \(0.997721\pi\)
\(152\) 3.58954 + 47.8991i 0.291150 + 3.88513i
\(153\) −6.46202 + 3.27849i −0.522423 + 0.265050i
\(154\) −2.40248 0.284609i −0.193597 0.0229344i
\(155\) 11.6963 0.876516i 0.939469 0.0704035i
\(156\) −0.710552 4.40427i −0.0568897 0.352624i
\(157\) 4.76376 6.98716i 0.380190 0.557636i −0.587678 0.809095i \(-0.699958\pi\)
0.967868 + 0.251459i \(0.0809103\pi\)
\(158\) 0.307762 2.04187i 0.0244843 0.162442i
\(159\) −4.94209 15.4520i −0.391933 1.22542i
\(160\) 5.22810 34.6862i 0.413318 2.74219i
\(161\) 16.6842 7.16603i 1.31490 0.564762i
\(162\) 23.4575 + 8.10247i 1.84299 + 0.636590i
\(163\) 4.65141 + 3.17128i 0.364327 + 0.248394i 0.731622 0.681711i \(-0.238764\pi\)
−0.367295 + 0.930104i \(0.619716\pi\)
\(164\) 1.67423 7.33526i 0.130735 0.572788i
\(165\) 0.708255 + 0.399191i 0.0551376 + 0.0310770i
\(166\) 5.65765i 0.439119i
\(167\) 12.3545 + 11.4633i 0.956021 + 0.887058i 0.993682 0.112233i \(-0.0358003\pi\)
−0.0376611 + 0.999291i \(0.511991\pi\)
\(168\) −15.2396 42.9126i −1.17576 3.31078i
\(169\) −9.37481 + 8.69855i −0.721139 + 0.669119i
\(170\) −6.41250 6.91103i −0.491816 0.530052i
\(171\) −2.45773 14.2912i −0.187947 1.09288i
\(172\) −34.7612 + 5.23941i −2.65052 + 0.399502i
\(173\) 14.9569 + 4.61358i 1.13715 + 0.350764i 0.805475 0.592630i \(-0.201911\pi\)
0.331674 + 0.943394i \(0.392387\pi\)
\(174\) −9.63392 2.86277i −0.730345 0.217026i
\(175\) 5.97925 + 5.20534i 0.451989 + 0.393487i
\(176\) −3.65264 + 3.93661i −0.275328 + 0.296733i
\(177\) −16.4698 + 0.170544i −1.23794 + 0.0128189i
\(178\) 30.2795i 2.26955i
\(179\) −10.5088 + 11.3258i −0.785465 + 0.846530i −0.991240 0.132070i \(-0.957838\pi\)
0.205776 + 0.978599i \(0.434028\pi\)
\(180\) −1.28653 + 23.7615i −0.0958922 + 1.77108i
\(181\) 9.01116 7.18616i 0.669794 0.534143i −0.228496 0.973545i \(-0.573381\pi\)
0.898291 + 0.439402i \(0.144809\pi\)
\(182\) 2.00667 2.68667i 0.148744 0.199149i
\(183\) −2.46712 + 17.6032i −0.182375 + 1.30126i
\(184\) 15.1760 66.4906i 1.11879 4.90175i
\(185\) 11.8814 + 1.79083i 0.873536 + 0.131664i
\(186\) 2.54870 39.4935i 0.186880 2.89581i
\(187\) 0.119376 + 0.792007i 0.00872962 + 0.0579173i
\(188\) −43.8006 21.0933i −3.19449 1.53838i
\(189\) 5.81521 + 12.4573i 0.422994 + 0.906132i
\(190\) 16.9985 8.18604i 1.23320 0.593878i
\(191\) −4.56623 6.69743i −0.330401 0.484609i 0.624710 0.780857i \(-0.285217\pi\)
−0.955111 + 0.296248i \(0.904265\pi\)
\(192\) −59.6801 17.7342i −4.30704 1.27986i
\(193\) 0.0559574 + 0.746699i 0.00402790 + 0.0537486i 0.998856 0.0478287i \(-0.0152301\pi\)
−0.994828 + 0.101577i \(0.967611\pi\)
\(194\) −14.5224 + 18.2105i −1.04265 + 1.30744i
\(195\) −0.970039 + 0.573526i −0.0694660 + 0.0410711i
\(196\) 17.4225 35.1447i 1.24446 2.51034i
\(197\) 9.13559i 0.650884i −0.945562 0.325442i \(-0.894487\pi\)
0.945562 0.325442i \(-0.105513\pi\)
\(198\) 1.66558 2.17968i 0.118368 0.154903i
\(199\) 5.85864 + 8.59305i 0.415308 + 0.609145i 0.975707 0.219078i \(-0.0703048\pi\)
−0.560400 + 0.828222i \(0.689352\pi\)
\(200\) 29.0290 6.62569i 2.05266 0.468507i
\(201\) 23.0122 + 10.7900i 1.62316 + 0.761068i
\(202\) −27.8744 2.08890i −1.96124 0.146974i
\(203\) −2.57329 4.93701i −0.180610 0.346510i
\(204\) −19.2321 + 13.4060i −1.34652 + 0.938611i
\(205\) −1.87931 + 0.283260i −0.131257 + 0.0197837i
\(206\) −1.18826 + 15.8562i −0.0827901 + 1.10476i
\(207\) −2.64643 + 20.4185i −0.183939 + 1.41919i
\(208\) −2.19402 7.11285i −0.152128 0.493188i
\(209\) −1.58497 0.238896i −0.109635 0.0165248i
\(210\) −13.5034 + 11.7301i −0.931826 + 0.809456i
\(211\) 16.3282 2.46108i 1.12408 0.169428i 0.439414 0.898285i \(-0.355186\pi\)
0.684666 + 0.728857i \(0.259948\pi\)
\(212\) −22.7731 47.2889i −1.56407 3.24782i
\(213\) 8.19435 9.01689i 0.561467 0.617827i
\(214\) 1.47322 0.100707
\(215\) 4.43993 + 7.69018i 0.302800 + 0.524466i
\(216\) 50.6735 + 9.92091i 3.44789 + 0.675033i
\(217\) 16.6986 14.2050i 1.13357 0.964298i
\(218\) 23.2436 + 25.0506i 1.57426 + 1.69664i
\(219\) 6.97881 + 7.36689i 0.471584 + 0.497808i
\(220\) 2.44851 + 0.960969i 0.165078 + 0.0647885i
\(221\) −1.03345 0.405600i −0.0695175 0.0272836i
\(222\) 11.5483 38.8628i 0.775069 2.60830i
\(223\) 7.31921 + 7.88824i 0.490131 + 0.528235i 0.928883 0.370373i \(-0.120770\pi\)
−0.438752 + 0.898608i \(0.644580\pi\)
\(224\) −30.3048 58.1414i −2.02482 3.88473i
\(225\) −8.53300 + 2.82688i −0.568867 + 0.188459i
\(226\) 10.9623 + 18.9873i 0.729202 + 1.26301i
\(227\) −17.6328 −1.17033 −0.585165 0.810915i \(-0.698970\pi\)
−0.585165 + 0.810915i \(0.698970\pi\)
\(228\) −14.2920 44.6855i −0.946511 2.95937i
\(229\) −4.66752 9.69220i −0.308438 0.640479i 0.687916 0.725790i \(-0.258526\pi\)
−0.996354 + 0.0853116i \(0.972811\pi\)
\(230\) −26.4891 + 3.99259i −1.74664 + 0.263263i
\(231\) 1.50925 0.177146i 0.0993014 0.0116553i
\(232\) −20.6772 3.11659i −1.35753 0.204614i
\(233\) 0.868503 + 2.81562i 0.0568975 + 0.184457i 0.979560 0.201150i \(-0.0644680\pi\)
−0.922663 + 0.385608i \(0.873992\pi\)
\(234\) 1.46215 + 3.50997i 0.0955834 + 0.229454i
\(235\) −0.917695 + 12.2458i −0.0598639 + 0.798828i
\(236\) −52.6927 + 7.94214i −3.43000 + 0.516989i
\(237\) 0.110315 + 1.29234i 0.00716574 + 0.0839465i
\(238\) −17.2954 3.37498i −1.12110 0.218767i
\(239\) 0.0845053 + 0.00633279i 0.00546619 + 0.000409634i 0.0774629 0.996995i \(-0.475318\pi\)
−0.0719967 + 0.997405i \(0.522937\pi\)
\(240\) 3.37690 + 39.5603i 0.217978 + 2.55360i
\(241\) −10.3905 + 2.37156i −0.669310 + 0.152766i −0.543656 0.839308i \(-0.682960\pi\)
−0.125655 + 0.992074i \(0.540103\pi\)
\(242\) 16.9160 + 24.8112i 1.08740 + 1.59493i
\(243\) −15.5139 1.52254i −0.995219 0.0976707i
\(244\) 57.5085i 3.68161i
\(245\) −9.87169 0.853361i −0.630679 0.0545193i
\(246\) 0.0663996 + 6.41234i 0.00423348 + 0.408836i
\(247\) 1.38523 1.73702i 0.0881400 0.110524i
\(248\) −6.15342 82.1116i −0.390742 5.21409i
\(249\) 0.826608 + 3.45624i 0.0523842 + 0.219031i
\(250\) −17.5821 25.7882i −1.11199 1.63099i
\(251\) 3.39351 1.63423i 0.214197 0.103152i −0.323709 0.946157i \(-0.604930\pi\)
0.537906 + 0.843005i \(0.319216\pi\)
\(252\) 24.2259 + 37.3018i 1.52609 + 2.34979i
\(253\) 2.05047 + 0.987454i 0.128912 + 0.0620807i
\(254\) 6.12477 + 40.6352i 0.384302 + 2.54968i
\(255\) 4.92711 + 3.28504i 0.308548 + 0.205717i
\(256\) −64.0369 9.65200i −4.00230 0.603250i
\(257\) −4.73668 + 20.7528i −0.295466 + 1.29452i 0.581333 + 0.813666i \(0.302531\pi\)
−0.876799 + 0.480856i \(0.840326\pi\)
\(258\) 27.7759 11.2345i 1.72925 0.699431i
\(259\) 19.9157 10.3806i 1.23750 0.645016i
\(260\) −2.85047 + 2.27317i −0.176779 + 0.140976i
\(261\) 6.30360 + 0.341299i 0.390183 + 0.0211259i
\(262\) −6.07386 + 6.54607i −0.375244 + 0.404417i
\(263\) 3.31553i 0.204445i −0.994762 0.102222i \(-0.967405\pi\)
0.994762 0.102222i \(-0.0325953\pi\)
\(264\) 2.80244 4.97217i 0.172478 0.306016i
\(265\) −9.01782 + 9.71890i −0.553960 + 0.597027i
\(266\) 16.6560 31.0833i 1.02124 1.90584i
\(267\) −4.42398 18.4977i −0.270743 1.13204i
\(268\) 78.5764 + 24.2376i 4.79982 + 1.48055i
\(269\) 22.3552 3.36950i 1.36302 0.205442i 0.573520 0.819192i \(-0.305578\pi\)
0.789501 + 0.613749i \(0.210339\pi\)
\(270\) −3.64427 19.9517i −0.221783 1.21422i
\(271\) −2.73339 2.94589i −0.166042 0.178950i 0.644550 0.764562i \(-0.277045\pi\)
−0.810592 + 0.585612i \(0.800854\pi\)
\(272\) −28.6737 + 26.6053i −1.73860 + 1.61318i
\(273\) −0.833337 + 1.93446i −0.0504358 + 0.117079i
\(274\) −12.5957 11.6871i −0.760931 0.706041i
\(275\) 0.993611i 0.0599170i
\(276\) 0.689739 + 66.6095i 0.0415174 + 4.00942i
\(277\) 3.26354 14.2985i 0.196087 0.859115i −0.777151 0.629315i \(-0.783336\pi\)
0.973238 0.229800i \(-0.0738072\pi\)
\(278\) −28.3832 19.3513i −1.70231 1.16062i
\(279\) 4.21319 + 24.4989i 0.252237 + 1.46671i
\(280\) −24.4362 + 28.0692i −1.46034 + 1.67746i
\(281\) 3.03583 20.1414i 0.181103 1.20154i −0.694855 0.719150i \(-0.744531\pi\)
0.875958 0.482388i \(-0.160230\pi\)
\(282\) 40.4894 + 8.80137i 2.41111 + 0.524114i
\(283\) −2.27810 + 15.1142i −0.135419 + 0.898444i 0.813191 + 0.581997i \(0.197728\pi\)
−0.948610 + 0.316448i \(0.897510\pi\)
\(284\) 22.2057 32.5698i 1.31767 1.93266i
\(285\) −9.18833 + 7.48439i −0.544269 + 0.443337i
\(286\) 0.419117 0.0314085i 0.0247829 0.00185722i
\(287\) −2.52620 + 2.49749i −0.149117 + 0.147422i
\(288\) 74.2352 + 4.01935i 4.37435 + 0.236843i
\(289\) −0.834435 11.1348i −0.0490844 0.654986i
\(290\) 1.82767 + 8.00755i 0.107325 + 0.470219i
\(291\) 6.21107 13.2466i 0.364100 0.776528i
\(292\) 25.6682 + 20.4697i 1.50212 + 1.19790i
\(293\) −5.22685 + 9.05317i −0.305356 + 0.528892i −0.977340 0.211673i \(-0.932109\pi\)
0.671985 + 0.740565i \(0.265442\pi\)
\(294\) −7.47457 + 32.5865i −0.435926 + 1.90048i
\(295\) 6.73024 + 11.6571i 0.391850 + 0.678704i
\(296\) 12.5722 83.4109i 0.730743 4.84816i
\(297\) −0.699038 + 1.57491i −0.0405623 + 0.0913855i
\(298\) 5.86036 + 1.80768i 0.339482 + 0.104716i
\(299\) −2.60640 + 1.77702i −0.150732 + 0.102767i
\(300\) −26.0704 + 12.8891i −1.50517 + 0.744150i
\(301\) 15.1745 + 6.72408i 0.874645 + 0.387569i
\(302\) 8.22826 + 12.0686i 0.473483 + 0.694472i
\(303\) 17.3336 2.79648i 0.995791 0.160653i
\(304\) −33.9637 70.5263i −1.94795 4.04496i
\(305\) 13.5225 5.30717i 0.774293 0.303888i
\(306\) 13.2844 14.9255i 0.759416 0.853231i
\(307\) −20.3957 16.2650i −1.16405 0.928295i −0.165722 0.986173i \(-0.552995\pi\)
−0.998324 + 0.0578773i \(0.981567\pi\)
\(308\) 4.75610 1.24530i 0.271004 0.0709577i
\(309\) −1.59076 9.86016i −0.0904954 0.560925i
\(310\) −29.1399 + 14.0330i −1.65503 + 0.797022i
\(311\) −11.6610 + 3.59695i −0.661236 + 0.203964i −0.607169 0.794573i \(-0.707695\pi\)
−0.0540674 + 0.998537i \(0.517219\pi\)
\(312\) 4.02633 + 6.80998i 0.227946 + 0.385539i
\(313\) −13.5603 7.82902i −0.766471 0.442522i 0.0651430 0.997876i \(-0.479250\pi\)
−0.831614 + 0.555353i \(0.812583\pi\)
\(314\) −5.18895 + 22.7343i −0.292829 + 1.28297i
\(315\) 6.53540 9.13883i 0.368228 0.514914i
\(316\) 0.933773 + 4.09112i 0.0525288 + 0.230144i
\(317\) 2.84457 9.22188i 0.159767 0.517952i −0.839927 0.542700i \(-0.817402\pi\)
0.999694 + 0.0247478i \(0.00787828\pi\)
\(318\) 28.2524 + 34.6844i 1.58431 + 1.94501i
\(319\) 0.254932 0.649556i 0.0142735 0.0363682i
\(320\) 11.3220 + 49.6051i 0.632921 + 2.77301i
\(321\) −0.899987 + 0.215244i −0.0502324 + 0.0120138i
\(322\) −35.6071 + 35.2024i −1.98431 + 1.96175i
\(323\) −11.3824 2.59796i −0.633333 0.144554i
\(324\) −50.3904 + 2.08828i −2.79947 + 0.116016i
\(325\) −1.19272 0.688618i −0.0661603 0.0381977i
\(326\) −15.1344 3.45433i −0.838217 0.191318i
\(327\) −17.8595 11.9074i −0.987632 0.658480i
\(328\) 1.98857 + 13.1933i 0.109801 + 0.728479i
\(329\) 12.1005 + 19.5044i 0.667123 + 1.07531i
\(330\) −2.22016 0.311159i −0.122216 0.0171288i
\(331\) −9.08022 8.42521i −0.499094 0.463091i 0.390001 0.920814i \(-0.372475\pi\)
−0.889095 + 0.457723i \(0.848665\pi\)
\(332\) 4.20048 + 10.7026i 0.230531 + 0.587384i
\(333\) −1.37678 + 25.4285i −0.0754473 + 1.39347i
\(334\) −43.2609 16.9786i −2.36713 0.929030i
\(335\) −1.55223 20.7131i −0.0848075 1.13168i
\(336\) 48.6680 + 56.0255i 2.65506 + 3.05644i
\(337\) 1.92727 25.7176i 0.104985 1.40093i −0.657272 0.753654i \(-0.728290\pi\)
0.762257 0.647275i \(-0.224091\pi\)
\(338\) 15.3008 31.7725i 0.832254 1.72819i
\(339\) −9.47098 9.99764i −0.514393 0.542997i
\(340\) 17.2616 + 8.31276i 0.936143 + 0.450823i
\(341\) 2.71706 + 0.409531i 0.147137 + 0.0221773i
\(342\) 20.7060 + 34.2077i 1.11965 + 1.84974i
\(343\) −15.8482 + 9.58305i −0.855722 + 0.517436i
\(344\) 53.9874 31.1697i 2.91081 1.68056i
\(345\) 15.5988 6.30924i 0.839810 0.339678i
\(346\) −43.0402 + 3.22541i −2.31385 + 0.173399i
\(347\) −4.26309 4.59452i −0.228855 0.246647i 0.608177 0.793802i \(-0.291901\pi\)
−0.837031 + 0.547155i \(0.815711\pi\)
\(348\) 20.3500 1.73710i 1.09088 0.0931181i
\(349\) 1.15245 1.69034i 0.0616894 0.0904817i −0.794155 0.607716i \(-0.792086\pi\)
0.855844 + 0.517234i \(0.173038\pi\)
\(350\) −20.5920 7.33781i −1.10069 0.392222i
\(351\) −1.40604 1.93061i −0.0750491 0.103048i
\(352\) 3.00224 7.64959i 0.160020 0.407724i
\(353\) 32.4442 15.6243i 1.72683 0.831597i 0.739452 0.673209i \(-0.235085\pi\)
0.987377 0.158388i \(-0.0506297\pi\)
\(354\) 42.1040 17.0298i 2.23780 0.905124i
\(355\) −9.70766 2.21571i −0.515229 0.117598i
\(356\) −22.4808 57.2801i −1.19148 3.03584i
\(357\) 11.0588 0.465177i 0.585296 0.0246198i
\(358\) 15.5649 39.6587i 0.822630 2.09603i
\(359\) −19.2645 + 28.2558i −1.01674 + 1.49129i −0.152440 + 0.988313i \(0.548713\pi\)
−0.864302 + 0.502974i \(0.832239\pi\)
\(360\) −13.2706 40.0576i −0.699423 2.11122i
\(361\) 2.18217 3.77963i 0.114851 0.198928i
\(362\) −15.8910 + 27.5240i −0.835212 + 1.44663i
\(363\) −13.9590 12.6856i −0.732657 0.665823i
\(364\) −1.80135 + 6.57224i −0.0944163 + 0.344479i
\(365\) 2.44442 7.92463i 0.127947 0.414794i
\(366\) −11.4011 47.6705i −0.595943 2.49178i
\(367\) −11.4703 + 9.14727i −0.598746 + 0.477484i −0.875343 0.483502i \(-0.839365\pi\)
0.276597 + 0.960986i \(0.410793\pi\)
\(368\) 16.5651 + 109.903i 0.863518 + 5.72906i
\(369\) −0.977435 3.90758i −0.0508833 0.203421i
\(370\) −32.3021 + 7.37274i −1.67931 + 0.383291i
\(371\) −2.91531 + 24.6090i −0.151355 + 1.27764i
\(372\) 24.5003 + 76.6026i 1.27028 + 3.97166i
\(373\) 22.8209 1.18162 0.590810 0.806811i \(-0.298808\pi\)
0.590810 + 0.806811i \(0.298808\pi\)
\(374\) −1.10431 1.91272i −0.0571024 0.0989043i
\(375\) 14.5087 + 13.1851i 0.749224 + 0.680878i
\(376\) 85.9693 + 6.44251i 4.43353 + 0.332247i
\(377\) 0.603042 + 0.756191i 0.0310583 + 0.0389458i
\(378\) −27.4766 26.1178i −1.41325 1.34336i
\(379\) −4.17213 + 5.23168i −0.214308 + 0.268733i −0.877353 0.479846i \(-0.840692\pi\)
0.663045 + 0.748580i \(0.269264\pi\)
\(380\) −26.0786 + 28.1060i −1.33780 + 1.44181i
\(381\) −9.67860 23.9291i −0.495850 1.22593i
\(382\) 18.4681 + 12.5913i 0.944909 + 0.644228i
\(383\) 8.22269 + 10.3109i 0.420160 + 0.526864i 0.946194 0.323600i \(-0.104893\pi\)
−0.526034 + 0.850463i \(0.676322\pi\)
\(384\) 85.5231 7.30032i 4.36433 0.372543i
\(385\) −0.731735 1.00342i −0.0372926 0.0511389i
\(386\) −0.895877 1.86031i −0.0455990 0.0946872i
\(387\) −15.3268 + 10.9213i −0.779107 + 0.555163i
\(388\) 13.9520 45.2312i 0.708304 2.29626i
\(389\) 10.0869 20.9456i 0.511424 1.06198i −0.472157 0.881515i \(-0.656524\pi\)
0.983581 0.180468i \(-0.0577613\pi\)
\(390\) 1.91218 2.44941i 0.0968272 0.124031i
\(391\) 14.3561 + 8.28848i 0.726018 + 0.419166i
\(392\) −5.99086 + 69.3024i −0.302584 + 3.50030i
\(393\) 2.75410 4.88640i 0.138926 0.246486i
\(394\) 9.20341 + 23.4499i 0.463661 + 1.18139i
\(395\) 0.875807 0.597115i 0.0440666 0.0300441i
\(396\) −1.53251 + 5.35992i −0.0770115 + 0.269346i
\(397\) −9.83076 + 0.736713i −0.493392 + 0.0369746i −0.319103 0.947720i \(-0.603382\pi\)
−0.174289 + 0.984695i \(0.555763\pi\)
\(398\) −23.6952 16.1551i −1.18773 0.809783i
\(399\) −5.63369 + 21.4222i −0.282037 + 1.07245i
\(400\) −40.0926 + 27.3346i −2.00463 + 1.36673i
\(401\) −11.4088 + 9.09825i −0.569730 + 0.454345i −0.865496 0.500916i \(-0.832997\pi\)
0.295766 + 0.955260i \(0.404425\pi\)
\(402\) −69.9395 4.51352i −3.48826 0.225114i
\(403\) −2.37465 + 2.97771i −0.118290 + 0.148330i
\(404\) 54.2813 16.7436i 2.70059 0.833023i
\(405\) 5.14131 + 11.6560i 0.255474 + 0.579191i
\(406\) 11.5790 + 10.0803i 0.574655 + 0.500276i
\(407\) 2.62028 + 1.02838i 0.129883 + 0.0509751i
\(408\) 23.0620 34.5899i 1.14174 1.71245i
\(409\) 10.1050 + 32.7596i 0.499660 + 1.61986i 0.756915 + 0.653514i \(0.226706\pi\)
−0.257255 + 0.966344i \(0.582818\pi\)
\(410\) 4.53858 2.62035i 0.224144 0.129410i
\(411\) 9.40219 + 5.29932i 0.463776 + 0.261396i
\(412\) −9.52450 30.8777i −0.469238 1.52123i
\(413\) 23.0022 + 10.1927i 1.13187 + 0.501548i
\(414\) −13.7771 55.0779i −0.677106 2.70693i
\(415\) 2.12896 1.97539i 0.104506 0.0969678i
\(416\) 7.10181 + 8.90539i 0.348195 + 0.436623i
\(417\) 20.1665 + 7.67477i 0.987560 + 0.375835i
\(418\) 4.30909 0.983522i 0.210765 0.0481056i
\(419\) −8.42090 2.59750i −0.411388 0.126896i 0.0821514 0.996620i \(-0.473821\pi\)
−0.493539 + 0.869724i \(0.664297\pi\)
\(420\) 16.8357 32.2155i 0.821497 1.57196i
\(421\) 14.8784 4.58937i 0.725128 0.223672i 0.0898494 0.995955i \(-0.471361\pi\)
0.635279 + 0.772283i \(0.280885\pi\)
\(422\) −39.4331 + 22.7667i −1.91957 + 1.10826i
\(423\) −26.0208 + 0.538948i −1.26518 + 0.0262045i
\(424\) 68.2297 + 63.3079i 3.31353 + 3.07450i
\(425\) −0.540845 + 7.21708i −0.0262348 + 0.350080i
\(426\) −11.9500 + 31.4004i −0.578980 + 1.52135i
\(427\) 14.5770 22.9074i 0.705428 1.10857i
\(428\) −2.78691 + 1.09378i −0.134710 + 0.0528699i
\(429\) −0.251449 + 0.0804224i −0.0121401 + 0.00388283i
\(430\) −19.1440 15.2668i −0.923205 0.736232i
\(431\) −34.3903 2.57719i −1.65652 0.124139i −0.786643 0.617408i \(-0.788183\pi\)
−0.869877 + 0.493269i \(0.835802\pi\)
\(432\) −82.7790 + 15.1200i −3.98271 + 0.727461i
\(433\) 6.96169 14.4561i 0.334557 0.694715i −0.664038 0.747699i \(-0.731159\pi\)
0.998595 + 0.0529834i \(0.0168730\pi\)
\(434\) −28.5527 + 53.2850i −1.37058 + 2.55776i
\(435\) −2.28646 4.62476i −0.109627 0.221740i
\(436\) −62.5689 30.1316i −2.99650 1.44304i
\(437\) −24.3183 + 22.5640i −1.16330 + 1.07938i
\(438\) −25.3353 11.8792i −1.21057 0.567612i
\(439\) −36.1172 + 14.1750i −1.72378 + 0.676534i −0.999910 0.0134008i \(-0.995734\pi\)
−0.723871 + 0.689935i \(0.757639\pi\)
\(440\) −4.66444 −0.222369
\(441\) −0.194838 20.9991i −0.00927799 0.999957i
\(442\) 3.06135 0.145614
\(443\) −28.2006 + 11.0679i −1.33985 + 0.525853i −0.923586 0.383391i \(-0.874756\pi\)
−0.416264 + 0.909244i \(0.636661\pi\)
\(444\) 7.00737 + 82.0911i 0.332555 + 3.89587i
\(445\) −11.3941 + 10.5722i −0.540133 + 0.501170i
\(446\) −26.7343 12.8746i −1.26590 0.609628i
\(447\) −3.84419 0.248083i −0.181824 0.0117339i
\(448\) 71.7293 + 62.4452i 3.38889 + 2.95026i
\(449\) 14.5344 30.1810i 0.685921 1.42433i −0.208914 0.977934i \(-0.566993\pi\)
0.894836 0.446396i \(-0.147293\pi\)
\(450\) 19.0553 15.8526i 0.898274 0.747298i
\(451\) −0.443989 0.0332724i −0.0209066 0.00156674i
\(452\) −34.8345 27.7796i −1.63848 1.30664i
\(453\) −6.78991 6.17052i −0.319018 0.289916i
\(454\) 45.2611 17.7637i 2.12421 0.833691i
\(455\) 1.71162 0.182953i 0.0802421 0.00857695i
\(456\) 52.5428 + 64.5049i 2.46054 + 3.02072i
\(457\) 2.65575 35.4385i 0.124231 1.65774i −0.492310 0.870420i \(-0.663847\pi\)
0.616540 0.787323i \(-0.288534\pi\)
\(458\) 21.7451 + 20.1765i 1.01608 + 0.942785i
\(459\) −5.93471 + 11.0588i −0.277008 + 0.516182i
\(460\) 47.1454 27.2194i 2.19817 1.26911i
\(461\) −15.9062 + 4.90641i −0.740825 + 0.228514i −0.642122 0.766603i \(-0.721946\pi\)
−0.0987034 + 0.995117i \(0.531469\pi\)
\(462\) −3.69559 + 1.97517i −0.171935 + 0.0918930i
\(463\) −12.5972 3.88573i −0.585443 0.180585i −0.0121367 0.999926i \(-0.503863\pi\)
−0.573306 + 0.819341i \(0.694340\pi\)
\(464\) 33.2231 7.58296i 1.54234 0.352030i
\(465\) 15.7512 12.8302i 0.730445 0.594987i
\(466\) −5.06585 6.35238i −0.234671 0.294268i
\(467\) 15.1356 14.0438i 0.700391 0.649868i −0.247344 0.968928i \(-0.579558\pi\)
0.947735 + 0.319060i \(0.103367\pi\)
\(468\) −5.37190 5.55429i −0.248316 0.256747i
\(469\) −25.1558 29.5717i −1.16159 1.36550i
\(470\) −9.98109 32.3579i −0.460393 1.49256i
\(471\) −0.151664 14.6465i −0.00698829 0.674873i
\(472\) 81.8366 47.2484i 3.76684 2.17478i
\(473\) 0.613168 + 1.98784i 0.0281935 + 0.0914011i
\(474\) −1.58510 3.20614i −0.0728060 0.147263i
\(475\) −13.4822 5.29138i −0.618606 0.242785i
\(476\) 35.2237 6.45638i 1.61448 0.295928i
\(477\) −22.3269 17.0609i −1.02228 0.781163i
\(478\) −0.223294 + 0.0688771i −0.0102132 + 0.00315037i
\(479\) 20.5678 25.7912i 0.939767 1.17843i −0.0440091 0.999031i \(-0.514013\pi\)
0.983776 0.179400i \(-0.0574155\pi\)
\(480\) −26.9268 54.4642i −1.22904 2.48594i
\(481\) −3.05044 + 2.43265i −0.139088 + 0.110919i
\(482\) 24.2819 16.5551i 1.10601 0.754065i
\(483\) 16.6091 26.7074i 0.755739 1.21523i
\(484\) −50.4211 34.3766i −2.29187 1.56257i
\(485\) −11.9231 + 0.893515i −0.541402 + 0.0405724i
\(486\) 41.3561 11.7209i 1.87595 0.531672i
\(487\) 3.64089 2.48231i 0.164984 0.112484i −0.478013 0.878353i \(-0.658643\pi\)
0.642998 + 0.765868i \(0.277691\pi\)
\(488\) −37.2580 94.9318i −1.68659 4.29736i
\(489\) 9.75027 0.100964i 0.440922 0.00456574i
\(490\) 26.1991 7.75450i 1.18355 0.350313i
\(491\) 20.4587 + 11.8118i 0.923286 + 0.533059i 0.884682 0.466195i \(-0.154376\pi\)
0.0386041 + 0.999255i \(0.487709\pi\)
\(492\) −4.88640 12.0810i −0.220296 0.544653i
\(493\) 2.20526 4.57928i 0.0993201 0.206240i
\(494\) −1.80579 + 5.85422i −0.0812463 + 0.263394i
\(495\) 1.40175 0.134288i 0.0630040 0.00603581i
\(496\) 58.2227 + 120.901i 2.61428 + 5.42860i
\(497\) −17.1008 + 7.34496i −0.767077 + 0.329466i
\(498\) −5.60370 8.03900i −0.251108 0.360236i
\(499\) −16.7763 21.0369i −0.751012 0.941740i 0.248627 0.968599i \(-0.420021\pi\)
−0.999639 + 0.0268598i \(0.991449\pi\)
\(500\) 52.4066 + 35.7302i 2.34369 + 1.59790i
\(501\) 28.9086 + 4.05160i 1.29154 + 0.181012i
\(502\) −7.06436 + 7.61356i −0.315298 + 0.339810i
\(503\) −9.50459 + 11.9184i −0.423789 + 0.531414i −0.947190 0.320672i \(-0.896091\pi\)
0.523402 + 0.852086i \(0.324663\pi\)
\(504\) −64.1574 45.8805i −2.85780 2.04368i
\(505\) −8.94640 11.2184i −0.398109 0.499214i
\(506\) −6.25808 0.468978i −0.278206 0.0208486i
\(507\) −4.70513 + 21.6453i −0.208962 + 0.961299i
\(508\) −41.7556 72.3228i −1.85261 3.20881i
\(509\) 9.32557 0.413349 0.206674 0.978410i \(-0.433736\pi\)
0.206674 + 0.978410i \(0.433736\pi\)
\(510\) −15.9567 3.46858i −0.706574 0.153591i
\(511\) −5.03588 14.6600i −0.222774 0.648519i
\(512\) 77.4704 17.6821i 3.42374 0.781447i
\(513\) −17.6471 17.8722i −0.779140 0.789077i
\(514\) −8.74836 58.0415i −0.385873 2.56010i
\(515\) −6.38155 + 5.08912i −0.281205 + 0.224253i
\(516\) −44.2031 + 41.8745i −1.94593 + 1.84342i
\(517\) −0.847963 + 2.74903i −0.0372934 + 0.120902i
\(518\) −40.6634 + 46.7091i −1.78665 + 2.05228i
\(519\) 25.8219 8.25876i 1.13346 0.362519i
\(520\) 3.23268 5.59916i 0.141762 0.245539i
\(521\) 2.34018 4.05331i 0.102525 0.177579i −0.810199 0.586155i \(-0.800641\pi\)
0.912724 + 0.408576i \(0.133974\pi\)
\(522\) −16.5244 + 5.47433i −0.723252 + 0.239605i
\(523\) 10.9443 16.0523i 0.478561 0.701920i −0.508715 0.860935i \(-0.669879\pi\)
0.987276 + 0.159015i \(0.0508319\pi\)
\(524\) 6.62992 16.8928i 0.289629 0.737964i
\(525\) 13.6517 + 1.47407i 0.595808 + 0.0643338i
\(526\) 3.34015 + 8.51055i 0.145637 + 0.371078i
\(527\) 19.5124 + 4.45358i 0.849973 + 0.194001i
\(528\) −1.29099 + 9.21137i −0.0561832 + 0.400873i
\(529\) 21.7154 10.4576i 0.944147 0.454677i
\(530\) 13.3565 34.0319i 0.580171 1.47825i
\(531\) −23.2331 + 16.5551i −1.00823 + 0.718429i
\(532\) −8.43076 + 71.1668i −0.365520 + 3.08547i
\(533\) 0.347645 0.509902i 0.0150582 0.0220863i
\(534\) 29.9908 + 43.0244i 1.29783 + 1.86185i
\(535\) 0.514379 + 0.554369i 0.0222386 + 0.0239675i
\(536\) −145.412 + 10.8971i −6.28086 + 0.470685i
\(537\) −3.71424 + 26.5015i −0.160281 + 1.14362i
\(538\) −53.9884 + 31.1702i −2.32761 + 1.34384i
\(539\) −2.21015 0.709509i −0.0951980 0.0305607i
\(540\) 21.7069 + 35.0372i 0.934115 + 1.50776i
\(541\) 4.07946 + 0.614879i 0.175390 + 0.0264357i 0.236150 0.971717i \(-0.424114\pi\)
−0.0607602 + 0.998152i \(0.519353\pi\)
\(542\) 9.98403 + 4.80806i 0.428851 + 0.206524i
\(543\) 5.68639 19.1361i 0.244026 0.821209i
\(544\) 25.9706 53.9285i 1.11348 2.31217i
\(545\) −1.31092 + 17.4930i −0.0561537 + 0.749319i
\(546\) 0.190246 5.80504i 0.00814179 0.248433i
\(547\) 0.00299639 + 0.0399841i 0.000128116 + 0.00170960i 0.997267 0.0738753i \(-0.0235367\pi\)
−0.997139 + 0.0755849i \(0.975918\pi\)
\(548\) 32.5043 + 12.7570i 1.38852 + 0.544952i
\(549\) 13.9298 + 27.4561i 0.594508 + 1.17180i
\(550\) −1.00099 2.55047i −0.0426822 0.108752i
\(551\) 7.45615 + 6.91830i 0.317643 + 0.294729i
\(552\) −44.2928 109.508i −1.88523 4.66098i
\(553\) 0.665046 1.86631i 0.0282807 0.0793635i
\(554\) 6.02756 + 39.9902i 0.256086 + 1.69902i
\(555\) 18.6561 9.22348i 0.791907 0.391515i
\(556\) 68.0600 + 15.5343i 2.88639 + 0.658799i
\(557\) −23.8400 13.7640i −1.01013 0.583201i −0.0989024 0.995097i \(-0.531533\pi\)
−0.911231 + 0.411897i \(0.864867\pi\)
\(558\) −35.4955 58.6411i −1.50264 2.48247i
\(559\) −2.81115 0.641626i −0.118899 0.0271379i
\(560\) 20.3580 57.1302i 0.860282 2.41419i
\(561\) 0.954077 + 1.00713i 0.0402811 + 0.0425211i
\(562\) 12.4984 + 54.7589i 0.527212 + 2.30986i
\(563\) −10.8071 + 27.5361i −0.455467 + 1.16051i 0.500161 + 0.865932i \(0.333274\pi\)
−0.955628 + 0.294577i \(0.904821\pi\)
\(564\) −83.1288 + 13.4114i −3.50035 + 0.564721i
\(565\) −3.31734 + 10.7546i −0.139562 + 0.452448i
\(566\) −9.37879 41.0912i −0.394220 1.72719i
\(567\) 20.6014 + 11.9409i 0.865176 + 0.501469i
\(568\) −15.5550 + 68.1508i −0.652672 + 2.85954i
\(569\) 7.37808 + 4.25974i 0.309305 + 0.178577i 0.646616 0.762816i \(-0.276184\pi\)
−0.337310 + 0.941394i \(0.609517\pi\)
\(570\) 16.0453 28.4680i 0.672064 1.19239i
\(571\) −0.377080 + 0.116314i −0.0157803 + 0.00486758i −0.302635 0.953106i \(-0.597866\pi\)
0.286855 + 0.957974i \(0.407390\pi\)
\(572\) −0.769530 + 0.370586i −0.0321757 + 0.0154950i
\(573\) −13.1218 4.99374i −0.548169 0.208617i
\(574\) 3.96841 8.95568i 0.165638 0.373803i
\(575\) 16.0778 + 12.8216i 0.670492 + 0.534699i
\(576\) −102.365 + 33.9123i −4.26521 + 1.41301i
\(577\) 21.0897 8.27708i 0.877974 0.344579i 0.116822 0.993153i \(-0.462729\pi\)
0.761152 + 0.648574i \(0.224634\pi\)
\(578\) 13.3593 + 27.7409i 0.555674 + 1.15387i
\(579\) 0.819089 + 1.00557i 0.0340402 + 0.0417899i
\(580\) −9.40257 13.7910i −0.390420 0.572642i
\(581\) 1.03967 5.32790i 0.0431328 0.221039i
\(582\) −2.59813 + 40.2595i −0.107696 + 1.66881i
\(583\) −2.56626 + 1.74964i −0.106284 + 0.0724629i
\(584\) −55.6334 17.1606i −2.30213 0.710112i
\(585\) −0.810279 + 1.77572i −0.0335009 + 0.0734169i
\(586\) 4.29628 28.5040i 0.177478 1.17749i
\(587\) −6.46045 11.1898i −0.266651 0.461854i 0.701344 0.712823i \(-0.252584\pi\)
−0.967995 + 0.250970i \(0.919251\pi\)
\(588\) −10.0539 67.1937i −0.414614 2.77102i
\(589\) −20.0263 + 34.6866i −0.825170 + 1.42924i
\(590\) −29.0193 23.1421i −1.19471 0.952747i
\(591\) −9.04848 12.9808i −0.372205 0.533960i
\(592\) 30.5893 + 134.021i 1.25721 + 5.50821i
\(593\) 1.94217 + 25.9164i 0.0797553 + 1.06426i 0.883236 + 0.468929i \(0.155360\pi\)
−0.803480 + 0.595331i \(0.797021\pi\)
\(594\) 0.207739 4.74682i 0.00852365 0.194764i
\(595\) −4.76876 7.68662i −0.195500 0.315120i
\(596\) −12.4282 + 0.931366i −0.509080 + 0.0381502i
\(597\) 16.8357 + 6.40715i 0.689039 + 0.262227i
\(598\) 4.90010 7.18713i 0.200380 0.293903i
\(599\) 0.610234 4.04864i 0.0249335 0.165423i −0.972899 0.231231i \(-0.925725\pi\)
0.997832 + 0.0658085i \(0.0209626\pi\)
\(600\) 34.6851 38.1667i 1.41601 1.55815i
\(601\) −3.36121 + 22.3002i −0.137107 + 0.909644i 0.809469 + 0.587163i \(0.199755\pi\)
−0.946576 + 0.322481i \(0.895483\pi\)
\(602\) −45.7251 1.97268i −1.86361 0.0804004i
\(603\) 43.3853 7.46118i 1.76679 0.303843i
\(604\) −24.5258 16.7214i −0.997940 0.680384i
\(605\) −3.43013 + 15.0284i −0.139455 + 0.610991i
\(606\) −41.6760 + 24.6405i −1.69297 + 1.00095i
\(607\) 15.5571i 0.631441i 0.948852 + 0.315721i \(0.102246\pi\)
−0.948852 + 0.315721i \(0.897754\pi\)
\(608\) 87.8084 + 81.4743i 3.56110 + 3.30422i
\(609\) −8.54635 4.46628i −0.346316 0.180983i
\(610\) −29.3638 + 27.2457i −1.18891 + 1.10314i
\(611\) −2.71223 2.92309i −0.109725 0.118256i
\(612\) −14.0489 + 38.0975i −0.567893 + 1.54000i
\(613\) 8.08553 1.21870i 0.326571 0.0492227i 0.0162895 0.999867i \(-0.494815\pi\)
0.310282 + 0.950645i \(0.399577\pi\)
\(614\) 68.7390 + 21.2032i 2.77408 + 0.855691i
\(615\) −2.38976 + 2.26387i −0.0963646 + 0.0912882i
\(616\) −7.04431 + 5.13700i −0.283823 + 0.206976i
\(617\) 20.3862 21.9711i 0.820716 0.884521i −0.174253 0.984701i \(-0.555751\pi\)
0.994969 + 0.100179i \(0.0319417\pi\)
\(618\) 14.0166 + 23.7072i 0.563832 + 0.953643i
\(619\) 8.95323i 0.359861i −0.983679 0.179930i \(-0.942413\pi\)
0.983679 0.179930i \(-0.0575872\pi\)
\(620\) 44.7055 48.1811i 1.79542 1.93500i
\(621\) 16.4635 + 31.6341i 0.660658 + 1.26943i
\(622\) 26.3087 20.9805i 1.05488 0.841241i
\(623\) −5.56428 + 28.5147i −0.222928 + 1.14242i
\(624\) −10.1625 7.93361i −0.406827 0.317598i
\(625\) 0.231438 1.01400i 0.00925754 0.0405599i
\(626\) 42.6946 + 6.43518i 1.70642 + 0.257201i
\(627\) −2.48872 + 1.23041i −0.0993898 + 0.0491378i
\(628\) −7.06289 46.8592i −0.281840 1.86989i
\(629\) 18.4726 + 8.89594i 0.736551 + 0.354704i
\(630\) −7.56888 + 30.0421i −0.301551 + 1.19691i
\(631\) −34.0667 + 16.4057i −1.35618 + 0.653100i −0.963780 0.266697i \(-0.914068\pi\)
−0.392395 + 0.919797i \(0.628353\pi\)
\(632\) −4.19193 6.14844i −0.166746 0.244572i
\(633\) 20.7633 19.6695i 0.825265 0.781791i
\(634\) 1.98868 + 26.5371i 0.0789805 + 1.05392i
\(635\) −13.1525 + 16.4927i −0.521939 + 0.654491i
\(636\) −79.1966 44.6372i −3.14035 1.76998i
\(637\) 2.38343 2.16133i 0.0944348 0.0856349i
\(638\) 1.92415i 0.0761780i
\(639\) 2.71250 20.9284i 0.107305 0.827914i
\(640\) −39.5153 57.9582i −1.56198 2.29100i
\(641\) −20.8200 + 4.75202i −0.822339 + 0.187694i −0.612933 0.790135i \(-0.710010\pi\)
−0.209406 + 0.977829i \(0.567153\pi\)
\(642\) 2.09331 1.45917i 0.0826163 0.0575889i
\(643\) 14.7467 + 1.10511i 0.581553 + 0.0435814i 0.362259 0.932077i \(-0.382006\pi\)
0.219294 + 0.975659i \(0.429625\pi\)
\(644\) 41.2226 93.0290i 1.62440 3.66585i
\(645\) 13.9256 + 6.52945i 0.548319 + 0.257097i
\(646\) 31.8344 4.79826i 1.25251 0.188785i
\(647\) −2.54128 + 33.9110i −0.0999080 + 1.33318i 0.691715 + 0.722170i \(0.256855\pi\)
−0.791623 + 0.611009i \(0.790764\pi\)
\(648\) 81.8287 36.0936i 3.21453 1.41789i
\(649\) 0.929469 + 3.01326i 0.0364848 + 0.118281i
\(650\) 3.75530 + 0.566020i 0.147295 + 0.0222011i
\(651\) 9.65763 36.7234i 0.378512 1.43930i
\(652\) 31.1946 4.70182i 1.22167 0.184138i
\(653\) 4.20030 + 8.72201i 0.164370 + 0.341319i 0.966844 0.255370i \(-0.0821971\pi\)
−0.802473 + 0.596688i \(0.796483\pi\)
\(654\) 57.8388 + 12.5727i 2.26168 + 0.491631i
\(655\) −4.58398 −0.179111
\(656\) −10.8718 18.8305i −0.424471 0.735206i
\(657\) 17.2129 + 3.55541i 0.671539 + 0.138710i
\(658\) −50.7097 37.8751i −1.97687 1.47652i
\(659\) 6.62200 + 7.13682i 0.257957 + 0.278011i 0.848730 0.528826i \(-0.177368\pi\)
−0.590773 + 0.806838i \(0.701177\pi\)
\(660\) 4.43091 1.05971i 0.172473 0.0412493i
\(661\) −29.8828 11.7281i −1.16231 0.456172i −0.295757 0.955263i \(-0.595572\pi\)
−0.866549 + 0.499092i \(0.833667\pi\)
\(662\) 31.7955 + 12.4788i 1.23577 + 0.485003i
\(663\) −1.87017 + 0.447277i −0.0726315 + 0.0173708i
\(664\) −13.8678 14.9460i −0.538176 0.580015i
\(665\) 17.5121 4.58523i 0.679089 0.177808i
\(666\) −22.0832 66.6586i −0.855706 2.58297i
\(667\) −7.22095 12.5070i −0.279596 0.484275i
\(668\) 94.4428 3.65410
\(669\) 18.2129 + 3.95904i 0.704153 + 0.153065i
\(670\) 24.8512 + 51.6041i 0.960087 + 1.99364i
\(671\) 3.36511 0.507209i 0.129909 0.0195806i
\(672\) −100.647 52.5978i −3.88255 2.02900i
\(673\) 16.8967 + 2.54677i 0.651321 + 0.0981708i 0.466388 0.884580i \(-0.345555\pi\)
0.184933 + 0.982751i \(0.440793\pi\)
\(674\) 20.9615 + 67.9555i 0.807406 + 2.61755i
\(675\) −9.32468 + 12.4684i −0.358907 + 0.479908i
\(676\) −5.35551 + 71.4643i −0.205981 + 2.74863i
\(677\) −11.3623 + 1.71259i −0.436687 + 0.0658200i −0.363707 0.931513i \(-0.618489\pi\)
−0.0729802 + 0.997333i \(0.523251\pi\)
\(678\) 34.3827 + 16.1214i 1.32046 + 0.619138i
\(679\) −17.0224 + 14.4805i −0.653262 + 0.555710i
\(680\) −33.8801 2.53896i −1.29924 0.0973648i
\(681\) −25.0546 + 17.4647i −0.960093 + 0.669247i
\(682\) −7.38691 + 1.68601i −0.282860 + 0.0645608i
\(683\) −11.5922 17.0027i −0.443565 0.650590i 0.537726 0.843119i \(-0.319283\pi\)
−0.981291 + 0.192529i \(0.938331\pi\)
\(684\) −64.5670 49.3382i −2.46878 1.88649i
\(685\) 8.82029i 0.337006i
\(686\) 31.0261 40.5643i 1.18458 1.54875i
\(687\) −16.2319 9.14871i −0.619285 0.349045i
\(688\) −63.3417 + 79.4280i −2.41488 + 3.02816i
\(689\) −0.321723 4.29310i −0.0122567 0.163554i
\(690\) −33.6840 + 31.9096i −1.28233 + 1.21478i
\(691\) −0.117423 0.172228i −0.00446698 0.00655185i 0.823999 0.566592i \(-0.191738\pi\)
−0.828466 + 0.560040i \(0.810786\pi\)
\(692\) 79.0249 38.0564i 3.00408 1.44669i
\(693\) 1.96905 1.74657i 0.0747980 0.0663466i
\(694\) 15.5714 + 7.49881i 0.591084 + 0.284651i
\(695\) −2.62822 17.4371i −0.0996941 0.661427i
\(696\) −32.4673 + 16.0517i −1.23067 + 0.608437i
\(697\) −3.20680 0.483347i −0.121466 0.0183081i
\(698\) −1.25531 + 5.49989i −0.0475143 + 0.208174i
\(699\) 4.02283 + 3.14051i 0.152157 + 0.118785i
\(700\) 44.4020 1.40732i 1.67824 0.0531917i
\(701\) −9.76941 + 7.79084i −0.368985 + 0.294256i −0.790375 0.612624i \(-0.790114\pi\)
0.421389 + 0.906880i \(0.361543\pi\)
\(702\) 5.55407 + 3.53914i 0.209625 + 0.133576i
\(703\) −27.9081 + 30.0778i −1.05257 + 1.13440i
\(704\) 11.9197i 0.449241i
\(705\) 10.8251 + 18.3091i 0.407696 + 0.689560i
\(706\) −67.5398 + 72.7906i −2.54189 + 2.73951i
\(707\) −25.8660 7.08946i −0.972790 0.266627i
\(708\) −67.0050 + 63.4753i −2.51820 + 2.38555i
\(709\) −24.1726 7.45627i −0.907822 0.280026i −0.194533 0.980896i \(-0.562319\pi\)
−0.713289 + 0.700870i \(0.752795\pi\)
\(710\) 27.1505 4.09228i 1.01894 0.153580i
\(711\) 1.43676 + 1.72703i 0.0538829 + 0.0647688i
\(712\) 74.2201 + 79.9902i 2.78151 + 2.99776i
\(713\) 41.6879 38.6807i 1.56122 1.44860i
\(714\) −27.9180 + 12.3350i −1.04481 + 0.461625i
\(715\) 0.158155 + 0.146746i 0.00591466 + 0.00548801i
\(716\) 86.5788i 3.23560i
\(717\) 0.126347 0.0747012i 0.00471850 0.00278977i
\(718\) 20.9839 91.9367i 0.783114 3.43105i
\(719\) 2.51616 + 1.71549i 0.0938368 + 0.0639768i 0.609329 0.792917i \(-0.291439\pi\)
−0.515493 + 0.856894i \(0.672391\pi\)
\(720\) 43.9813 + 52.8668i 1.63909 + 1.97023i
\(721\) −4.03281 + 14.7137i −0.150190 + 0.547968i
\(722\) −1.79367 + 11.9002i −0.0667533 + 0.442880i
\(723\) −12.4150 + 13.6612i −0.461718 + 0.508065i
\(724\) 9.62620 63.8657i 0.357755 2.37355i
\(725\) 3.55183 5.20957i 0.131912 0.193479i
\(726\) 48.6108 + 18.4998i 1.80411 + 0.686591i
\(727\) 50.8055 3.80735i 1.88427 0.141207i 0.917646 0.397400i \(-0.130087\pi\)
0.966626 + 0.256193i \(0.0824683\pi\)
\(728\) −1.28438 12.0161i −0.0476025 0.445347i
\(729\) −23.5519 + 13.2026i −0.872292 + 0.488986i
\(730\) 1.70893 + 22.8041i 0.0632503 + 0.844017i
\(731\) 3.37171 + 14.7724i 0.124707 + 0.546378i
\(732\) 56.9602 + 81.7143i 2.10531 + 3.02025i
\(733\) −19.0407 15.1844i −0.703283 0.560850i 0.205226 0.978715i \(-0.434207\pi\)
−0.908509 + 0.417865i \(0.862779\pi\)
\(734\) 20.2277 35.0354i 0.746617 1.29318i
\(735\) −14.8720 + 8.56502i −0.548562 + 0.315925i
\(736\) −85.0385 147.291i −3.13456 5.42922i
\(737\) 0.725242 4.81167i 0.0267146 0.177240i
\(738\) 6.44554 + 9.04558i 0.237264 + 0.332972i
\(739\) 6.09669 + 1.88058i 0.224270 + 0.0691782i 0.404854 0.914381i \(-0.367322\pi\)
−0.180584 + 0.983560i \(0.557799\pi\)
\(740\) 55.6324 37.9295i 2.04509 1.39432i
\(741\) 0.247824 3.84017i 0.00910403 0.141072i
\(742\) −17.3085 66.1052i −0.635415 2.42680i
\(743\) 1.01785 + 1.49291i 0.0373412 + 0.0547695i 0.844455 0.535626i \(-0.179924\pi\)
−0.807114 + 0.590395i \(0.798972\pi\)
\(744\) −90.0721 110.578i −3.30220 4.05400i
\(745\) 1.36594 + 2.83640i 0.0500441 + 0.103918i
\(746\) −58.5783 + 22.9903i −2.14470 + 0.841734i
\(747\) 4.59782 + 4.09228i 0.168226 + 0.149729i
\(748\) 3.50912 + 2.79843i 0.128306 + 0.102321i
\(749\) 1.38736 + 0.270724i 0.0506929 + 0.00989205i
\(750\) −50.5249 19.2282i −1.84491 0.702116i
\(751\) 37.7343 18.1719i 1.37695 0.663102i 0.408600 0.912714i \(-0.366017\pi\)
0.968346 + 0.249612i \(0.0803029\pi\)
\(752\) −134.252 + 41.4113i −4.89567 + 1.51012i
\(753\) 3.20322 5.68325i 0.116732 0.207109i
\(754\) −2.30974 1.33353i −0.0841157 0.0485642i
\(755\) −1.66848 + 7.31008i −0.0607221 + 0.266041i
\(756\) 71.3689 + 29.0076i 2.59566 + 1.05500i
\(757\) −3.57104 15.6458i −0.129792 0.568655i −0.997442 0.0714799i \(-0.977228\pi\)
0.867650 0.497175i \(-0.165629\pi\)
\(758\) 5.43880 17.6322i 0.197546 0.640429i
\(759\) 3.89157 0.627837i 0.141255 0.0227890i
\(760\) 24.8400 63.2914i 0.901043 2.29582i
\(761\) −8.05236 35.2797i −0.291898 1.27889i −0.881881 0.471472i \(-0.843723\pi\)
0.589983 0.807415i \(-0.299134\pi\)
\(762\) 48.9505 + 51.6725i 1.77329 + 1.87190i
\(763\) 17.2855 + 27.8619i 0.625777 + 1.00867i
\(764\) −44.2846 10.1077i −1.60216 0.365683i
\(765\) 10.2547 0.212397i 0.370759 0.00767922i
\(766\) −31.4941 18.1831i −1.13793 0.656982i
\(767\) −4.26126 0.972605i −0.153865 0.0351187i
\(768\) −100.550 + 49.7116i −3.62830 + 1.79381i
\(769\) 7.99011 + 53.0109i 0.288131 + 1.91162i 0.397466 + 0.917617i \(0.369890\pi\)
−0.109335 + 0.994005i \(0.534872\pi\)
\(770\) 2.88914 + 1.83848i 0.104117 + 0.0662542i
\(771\) 13.8245 +