Properties

Label 70.2.k.a.33.2
Level $70$
Weight $2$
Character 70.33
Analytic conductor $0.559$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 70 = 2 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 70.k (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.558952814149\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} + \cdots)\)
Defining polynomial: \(x^{16} + 10 x^{14} + 61 x^{12} + 266 x^{10} + 852 x^{8} + 1438 x^{6} + 1933 x^{4} + 3038 x^{2} + 2401\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 33.2
Root \(1.45333 + 1.51725i\) of defining polynomial
Character \(\chi\) \(=\) 70.33
Dual form 70.2.k.a.17.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 - 0.965926i) q^{2} +(1.13459 + 0.304013i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(0.264946 - 2.22032i) q^{5} -1.17462i q^{6} +(0.698943 + 2.55176i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-1.40320 - 0.810140i) q^{9} +O(q^{10})\) \(q+(-0.258819 - 0.965926i) q^{2} +(1.13459 + 0.304013i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(0.264946 - 2.22032i) q^{5} -1.17462i q^{6} +(0.698943 + 2.55176i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-1.40320 - 0.810140i) q^{9} +(-2.21323 + 0.318742i) q^{10} +(-0.371536 - 0.643519i) q^{11} +(-1.13459 + 0.304013i) q^{12} +(-2.05532 + 2.05532i) q^{13} +(2.28391 - 1.33557i) q^{14} +(0.975610 - 2.43860i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-1.69789 + 6.33660i) q^{17} +(-0.419359 + 1.56507i) q^{18} +(-0.946027 + 1.63857i) q^{19} +(0.880708 + 2.05532i) q^{20} +(0.0172465 + 3.10769i) q^{21} +(-0.525431 + 0.525431i) q^{22} +(5.11112 - 1.36952i) q^{23} +(0.587308 + 1.01725i) q^{24} +(-4.85961 - 1.17653i) q^{25} +(2.51725 + 1.45333i) q^{26} +(-3.83750 - 3.83750i) q^{27} +(-1.88118 - 1.86042i) q^{28} -9.69135i q^{29} +(-2.60802 - 0.311210i) q^{30} +(2.96403 - 1.71129i) q^{31} +(-0.965926 - 0.258819i) q^{32} +(-0.225903 - 0.843083i) q^{33} +6.56014 q^{34} +(5.85090 - 0.875795i) q^{35} +1.62028 q^{36} +(-0.691342 - 2.58012i) q^{37} +(1.82758 + 0.489700i) q^{38} +(-2.95680 + 1.70711i) q^{39} +(1.75735 - 1.38266i) q^{40} -0.817699i q^{41} +(2.99734 - 0.820989i) q^{42} +(1.59589 + 1.59589i) q^{43} +(0.643519 + 0.371536i) q^{44} +(-2.17054 + 2.90091i) q^{45} +(-2.64571 - 4.58251i) q^{46} +(4.54913 - 1.21894i) q^{47} +(0.830578 - 0.830578i) q^{48} +(-6.02296 + 3.56707i) q^{49} +(0.121320 + 4.99853i) q^{50} +(-3.85282 + 6.67328i) q^{51} +(0.752300 - 2.80762i) q^{52} +(1.29040 - 4.81583i) q^{53} +(-2.71352 + 4.69996i) q^{54} +(-1.52725 + 0.654429i) q^{55} +(-1.31014 + 2.29859i) q^{56} +(-1.57150 + 1.57150i) q^{57} +(-9.36112 + 2.50831i) q^{58} +(1.27487 + 2.20815i) q^{59} +(0.374399 + 2.59970i) q^{60} +(5.25989 + 3.03680i) q^{61} +(-2.42012 - 2.42012i) q^{62} +(1.08652 - 4.14688i) q^{63} +1.00000i q^{64} +(4.01892 + 5.10802i) q^{65} +(-0.755887 + 0.436412i) q^{66} +(13.2248 + 3.54358i) q^{67} +(-1.69789 - 6.33660i) q^{68} +6.21538 q^{69} +(-2.36028 - 5.42486i) q^{70} -16.0173 q^{71} +(-0.419359 - 1.56507i) q^{72} +(-8.54906 - 2.29071i) q^{73} +(-2.31328 + 1.33557i) q^{74} +(-5.15599 - 2.81226i) q^{75} -1.89205i q^{76} +(1.38242 - 1.39785i) q^{77} +(2.41421 + 2.41421i) q^{78} +(5.70091 + 3.29142i) q^{79} +(-1.79038 - 1.33961i) q^{80} +(-0.756928 - 1.31104i) q^{81} +(-0.789836 + 0.211636i) q^{82} +(-9.23519 + 9.23519i) q^{83} +(-1.56878 - 2.68272i) q^{84} +(13.6194 + 5.44871i) q^{85} +(1.12846 - 1.95456i) q^{86} +(2.94629 - 10.9957i) q^{87} +(0.192321 - 0.717752i) q^{88} +(-3.01603 + 5.22392i) q^{89} +(3.36384 + 1.34577i) q^{90} +(-6.68124 - 3.80814i) q^{91} +(-3.74160 + 3.74160i) q^{92} +(3.88322 - 1.04051i) q^{93} +(-2.35481 - 4.07864i) q^{94} +(3.38749 + 2.53461i) q^{95} +(-1.01725 - 0.587308i) q^{96} +(-3.16693 - 3.16693i) q^{97} +(5.00438 + 4.89451i) q^{98} +1.20398i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 12q^{5} + 8q^{7} + O(q^{10}) \) \( 16q - 12q^{5} + 8q^{7} - 12q^{10} - 12q^{11} + 16q^{15} + 8q^{16} - 36q^{17} - 8q^{18} - 28q^{21} - 8q^{22} - 4q^{23} + 12q^{25} + 12q^{26} + 4q^{28} + 20q^{30} + 24q^{31} + 48q^{33} + 8q^{35} - 8q^{36} + 4q^{37} + 24q^{38} + 36q^{42} - 8q^{43} - 12q^{45} - 8q^{46} + 12q^{47} - 32q^{50} - 16q^{51} - 28q^{53} - 4q^{56} + 8q^{57} - 32q^{58} + 8q^{60} - 12q^{61} - 36q^{63} - 8q^{65} + 32q^{67} - 36q^{68} - 12q^{70} + 16q^{71} - 8q^{72} - 12q^{73} - 48q^{75} + 16q^{77} + 16q^{78} - 12q^{80} - 48q^{82} + 24q^{85} + 12q^{86} - 24q^{87} - 4q^{88} - 16q^{91} + 8q^{92} + 28q^{93} + 20q^{95} + 12q^{96} + 40q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/70\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(57\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 0.965926i −0.183013 0.683013i
\(3\) 1.13459 + 0.304013i 0.655056 + 0.175522i 0.571014 0.820940i \(-0.306550\pi\)
0.0840425 + 0.996462i \(0.473217\pi\)
\(4\) −0.866025 + 0.500000i −0.433013 + 0.250000i
\(5\) 0.264946 2.22032i 0.118487 0.992956i
\(6\) 1.17462i 0.479535i
\(7\) 0.698943 + 2.55176i 0.264175 + 0.964475i
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) −1.40320 0.810140i −0.467734 0.270047i
\(10\) −2.21323 + 0.318742i −0.699886 + 0.100795i
\(11\) −0.371536 0.643519i −0.112022 0.194028i 0.804563 0.593867i \(-0.202399\pi\)
−0.916586 + 0.399839i \(0.869066\pi\)
\(12\) −1.13459 + 0.304013i −0.327528 + 0.0877609i
\(13\) −2.05532 + 2.05532i −0.570044 + 0.570044i −0.932141 0.362097i \(-0.882061\pi\)
0.362097 + 0.932141i \(0.382061\pi\)
\(14\) 2.28391 1.33557i 0.610401 0.356946i
\(15\) 0.975610 2.43860i 0.251901 0.629645i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −1.69789 + 6.33660i −0.411798 + 1.53685i 0.379365 + 0.925247i \(0.376143\pi\)
−0.791163 + 0.611605i \(0.790524\pi\)
\(18\) −0.419359 + 1.56507i −0.0988439 + 0.368890i
\(19\) −0.946027 + 1.63857i −0.217033 + 0.375913i −0.953900 0.300126i \(-0.902971\pi\)
0.736866 + 0.676039i \(0.236305\pi\)
\(20\) 0.880708 + 2.05532i 0.196932 + 0.459584i
\(21\) 0.0172465 + 3.10769i 0.00376349 + 0.678154i
\(22\) −0.525431 + 0.525431i −0.112022 + 0.112022i
\(23\) 5.11112 1.36952i 1.06574 0.285565i 0.317000 0.948426i \(-0.397325\pi\)
0.748743 + 0.662861i \(0.230658\pi\)
\(24\) 0.587308 + 1.01725i 0.119884 + 0.207645i
\(25\) −4.85961 1.17653i −0.971921 0.235306i
\(26\) 2.51725 + 1.45333i 0.493673 + 0.285022i
\(27\) −3.83750 3.83750i −0.738528 0.738528i
\(28\) −1.88118 1.86042i −0.355510 0.351586i
\(29\) 9.69135i 1.79964i −0.436263 0.899819i \(-0.643698\pi\)
0.436263 0.899819i \(-0.356302\pi\)
\(30\) −2.60802 0.311210i −0.476157 0.0568188i
\(31\) 2.96403 1.71129i 0.532356 0.307356i −0.209619 0.977783i \(-0.567222\pi\)
0.741975 + 0.670427i \(0.233889\pi\)
\(32\) −0.965926 0.258819i −0.170753 0.0457532i
\(33\) −0.225903 0.843083i −0.0393247 0.146762i
\(34\) 6.56014 1.12505
\(35\) 5.85090 0.875795i 0.988982 0.148036i
\(36\) 1.62028 0.270047
\(37\) −0.691342 2.58012i −0.113656 0.424170i 0.885527 0.464588i \(-0.153798\pi\)
−0.999183 + 0.0404183i \(0.987131\pi\)
\(38\) 1.82758 + 0.489700i 0.296473 + 0.0794398i
\(39\) −2.95680 + 1.70711i −0.473466 + 0.273356i
\(40\) 1.75735 1.38266i 0.277861 0.218617i
\(41\) 0.817699i 0.127703i −0.997959 0.0638515i \(-0.979662\pi\)
0.997959 0.0638515i \(-0.0203384\pi\)
\(42\) 2.99734 0.820989i 0.462499 0.126681i
\(43\) 1.59589 + 1.59589i 0.243371 + 0.243371i 0.818243 0.574872i \(-0.194948\pi\)
−0.574872 + 0.818243i \(0.694948\pi\)
\(44\) 0.643519 + 0.371536i 0.0970142 + 0.0560111i
\(45\) −2.17054 + 2.90091i −0.323565 + 0.432442i
\(46\) −2.64571 4.58251i −0.390089 0.675654i
\(47\) 4.54913 1.21894i 0.663560 0.177800i 0.0887076 0.996058i \(-0.471726\pi\)
0.574852 + 0.818257i \(0.305060\pi\)
\(48\) 0.830578 0.830578i 0.119884 0.119884i
\(49\) −6.02296 + 3.56707i −0.860423 + 0.509581i
\(50\) 0.121320 + 4.99853i 0.0171573 + 0.706899i
\(51\) −3.85282 + 6.67328i −0.539502 + 0.934445i
\(52\) 0.752300 2.80762i 0.104325 0.389347i
\(53\) 1.29040 4.81583i 0.177250 0.661505i −0.818908 0.573925i \(-0.805420\pi\)
0.996158 0.0875798i \(-0.0279133\pi\)
\(54\) −2.71352 + 4.69996i −0.369264 + 0.639584i
\(55\) −1.52725 + 0.654429i −0.205935 + 0.0882432i
\(56\) −1.31014 + 2.29859i −0.175075 + 0.307163i
\(57\) −1.57150 + 1.57150i −0.208150 + 0.208150i
\(58\) −9.36112 + 2.50831i −1.22918 + 0.329357i
\(59\) 1.27487 + 2.20815i 0.165975 + 0.287476i 0.937001 0.349327i \(-0.113590\pi\)
−0.771026 + 0.636803i \(0.780256\pi\)
\(60\) 0.374399 + 2.59970i 0.0483347 + 0.335620i
\(61\) 5.25989 + 3.03680i 0.673460 + 0.388822i 0.797386 0.603469i \(-0.206215\pi\)
−0.123927 + 0.992291i \(0.539549\pi\)
\(62\) −2.42012 2.42012i −0.307356 0.307356i
\(63\) 1.08652 4.14688i 0.136889 0.522458i
\(64\) 1.00000i 0.125000i
\(65\) 4.01892 + 5.10802i 0.498485 + 0.633572i
\(66\) −0.755887 + 0.436412i −0.0930433 + 0.0537186i
\(67\) 13.2248 + 3.54358i 1.61567 + 0.432917i 0.949725 0.313084i \(-0.101362\pi\)
0.665944 + 0.746002i \(0.268029\pi\)
\(68\) −1.69789 6.33660i −0.205899 0.768426i
\(69\) 6.21538 0.748244
\(70\) −2.36028 5.42486i −0.282107 0.648395i
\(71\) −16.0173 −1.90090 −0.950450 0.310879i \(-0.899377\pi\)
−0.950450 + 0.310879i \(0.899377\pi\)
\(72\) −0.419359 1.56507i −0.0494220 0.184445i
\(73\) −8.54906 2.29071i −1.00059 0.268108i −0.278898 0.960321i \(-0.589969\pi\)
−0.721693 + 0.692213i \(0.756636\pi\)
\(74\) −2.31328 + 1.33557i −0.268913 + 0.155257i
\(75\) −5.15599 2.81226i −0.595362 0.324732i
\(76\) 1.89205i 0.217033i
\(77\) 1.38242 1.39785i 0.157542 0.159300i
\(78\) 2.41421 + 2.41421i 0.273356 + 0.273356i
\(79\) 5.70091 + 3.29142i 0.641402 + 0.370314i 0.785155 0.619300i \(-0.212583\pi\)
−0.143752 + 0.989614i \(0.545917\pi\)
\(80\) −1.79038 1.33961i −0.200170 0.149773i
\(81\) −0.756928 1.31104i −0.0841031 0.145671i
\(82\) −0.789836 + 0.211636i −0.0872228 + 0.0233713i
\(83\) −9.23519 + 9.23519i −1.01369 + 1.01369i −0.0137887 + 0.999905i \(0.504389\pi\)
−0.999905 + 0.0137887i \(0.995611\pi\)
\(84\) −1.56878 2.68272i −0.171168 0.292708i
\(85\) 13.6194 + 5.44871i 1.47723 + 0.590995i
\(86\) 1.12846 1.95456i 0.121685 0.210765i
\(87\) 2.94629 10.9957i 0.315876 1.17886i
\(88\) 0.192321 0.717752i 0.0205015 0.0765127i
\(89\) −3.01603 + 5.22392i −0.319699 + 0.553735i −0.980425 0.196892i \(-0.936915\pi\)
0.660726 + 0.750627i \(0.270248\pi\)
\(90\) 3.36384 + 1.34577i 0.354580 + 0.141856i
\(91\) −6.68124 3.80814i −0.700385 0.399201i
\(92\) −3.74160 + 3.74160i −0.390089 + 0.390089i
\(93\) 3.88322 1.04051i 0.402671 0.107895i
\(94\) −2.35481 4.07864i −0.242880 0.420680i
\(95\) 3.38749 + 2.53461i 0.347549 + 0.260046i
\(96\) −1.01725 0.587308i −0.103822 0.0599418i
\(97\) −3.16693 3.16693i −0.321553 0.321553i 0.527810 0.849363i \(-0.323013\pi\)
−0.849363 + 0.527810i \(0.823013\pi\)
\(98\) 5.00438 + 4.89451i 0.505519 + 0.494420i
\(99\) 1.20398i 0.121005i
\(100\) 4.79681 1.41090i 0.479681 0.141090i
\(101\) 9.68359 5.59083i 0.963554 0.556308i 0.0662887 0.997800i \(-0.478884\pi\)
0.897265 + 0.441493i \(0.145551\pi\)
\(102\) 7.44307 + 1.99437i 0.736974 + 0.197472i
\(103\) 0.627940 + 2.34351i 0.0618728 + 0.230912i 0.989937 0.141507i \(-0.0451949\pi\)
−0.928064 + 0.372420i \(0.878528\pi\)
\(104\) −2.90667 −0.285022
\(105\) 6.90463 + 0.785078i 0.673823 + 0.0766157i
\(106\) −4.98571 −0.484255
\(107\) −1.71868 6.41422i −0.166151 0.620086i −0.997891 0.0649189i \(-0.979321\pi\)
0.831739 0.555167i \(-0.187346\pi\)
\(108\) 5.24213 + 1.40462i 0.504424 + 0.135160i
\(109\) 7.76000 4.48024i 0.743274 0.429129i −0.0799848 0.996796i \(-0.525487\pi\)
0.823258 + 0.567667i \(0.192154\pi\)
\(110\) 1.02741 + 1.30583i 0.0979599 + 0.124506i
\(111\) 3.13756i 0.297804i
\(112\) 2.55936 + 0.670578i 0.241837 + 0.0633637i
\(113\) 0.307790 + 0.307790i 0.0289545 + 0.0289545i 0.721436 0.692481i \(-0.243482\pi\)
−0.692481 + 0.721436i \(0.743482\pi\)
\(114\) 1.92469 + 1.11122i 0.180263 + 0.104075i
\(115\) −1.68660 11.7112i −0.157276 1.09207i
\(116\) 4.84567 + 8.39295i 0.449910 + 0.779266i
\(117\) 4.54913 1.21894i 0.420568 0.112691i
\(118\) 1.80295 1.80295i 0.165975 0.165975i
\(119\) −17.3562 + 0.0963204i −1.59104 + 0.00882967i
\(120\) 2.41421 1.03449i 0.220387 0.0944359i
\(121\) 5.22392 9.04810i 0.474902 0.822554i
\(122\) 1.57196 5.86664i 0.142319 0.531141i
\(123\) 0.248591 0.927753i 0.0224147 0.0836527i
\(124\) −1.71129 + 2.96403i −0.153678 + 0.266178i
\(125\) −3.89980 + 10.4781i −0.348808 + 0.937194i
\(126\) −4.28679 + 0.0237900i −0.381898 + 0.00211939i
\(127\) −11.1823 + 11.1823i −0.992267 + 0.992267i −0.999970 0.00770296i \(-0.997548\pi\)
0.00770296 + 0.999970i \(0.497548\pi\)
\(128\) 0.965926 0.258819i 0.0853766 0.0228766i
\(129\) 1.32551 + 2.29585i 0.116705 + 0.202139i
\(130\) 3.89379 5.20403i 0.341508 0.456423i
\(131\) −8.30763 4.79641i −0.725841 0.419064i 0.0910579 0.995846i \(-0.470975\pi\)
−0.816899 + 0.576781i \(0.804308\pi\)
\(132\) 0.617179 + 0.617179i 0.0537186 + 0.0537186i
\(133\) −4.84245 1.26877i −0.419893 0.110016i
\(134\) 13.6913i 1.18275i
\(135\) −9.53720 + 7.50374i −0.820832 + 0.645819i
\(136\) −5.68124 + 3.28007i −0.487163 + 0.281264i
\(137\) −8.99233 2.40949i −0.768267 0.205856i −0.146661 0.989187i \(-0.546853\pi\)
−0.621606 + 0.783330i \(0.713519\pi\)
\(138\) −1.60866 6.00360i −0.136938 0.511060i
\(139\) 22.1714 1.88056 0.940278 0.340408i \(-0.110565\pi\)
0.940278 + 0.340408i \(0.110565\pi\)
\(140\) −4.62913 + 3.68391i −0.391233 + 0.311347i
\(141\) 5.53198 0.465877
\(142\) 4.14557 + 15.4715i 0.347889 + 1.29834i
\(143\) 2.08627 + 0.559013i 0.174462 + 0.0467470i
\(144\) −1.40320 + 0.810140i −0.116934 + 0.0675116i
\(145\) −21.5179 2.56768i −1.78696 0.213235i
\(146\) 8.85064i 0.732484i
\(147\) −7.91803 + 2.21611i −0.653068 + 0.182781i
\(148\) 1.88878 + 1.88878i 0.155257 + 0.155257i
\(149\) −3.41418 1.97118i −0.279701 0.161485i 0.353587 0.935402i \(-0.384962\pi\)
−0.633288 + 0.773916i \(0.718295\pi\)
\(150\) −1.38197 + 5.70817i −0.112837 + 0.466070i
\(151\) 9.97267 + 17.2732i 0.811564 + 1.40567i 0.911769 + 0.410703i \(0.134717\pi\)
−0.100205 + 0.994967i \(0.531950\pi\)
\(152\) −1.82758 + 0.489700i −0.148237 + 0.0397199i
\(153\) 7.51602 7.51602i 0.607634 0.607634i
\(154\) −1.70802 0.973528i −0.137636 0.0784491i
\(155\) −3.01429 7.03449i −0.242113 0.565024i
\(156\) 1.70711 2.95680i 0.136678 0.236733i
\(157\) −1.93165 + 7.20903i −0.154163 + 0.575343i 0.845013 + 0.534746i \(0.179593\pi\)
−0.999176 + 0.0405972i \(0.987074\pi\)
\(158\) 1.70376 6.35854i 0.135544 0.505858i
\(159\) 2.92815 5.07170i 0.232217 0.402212i
\(160\) −0.830578 + 2.07609i −0.0656630 + 0.164129i
\(161\) 7.06707 + 12.0851i 0.556963 + 0.952442i
\(162\) −1.07046 + 1.07046i −0.0841031 + 0.0841031i
\(163\) −11.7520 + 3.14893i −0.920486 + 0.246644i −0.687793 0.725907i \(-0.741420\pi\)
−0.232693 + 0.972550i \(0.574754\pi\)
\(164\) 0.408849 + 0.708148i 0.0319258 + 0.0552970i
\(165\) −1.93176 + 0.278205i −0.150387 + 0.0216583i
\(166\) 11.3107 + 6.53026i 0.877884 + 0.506847i
\(167\) −1.45564 1.45564i −0.112641 0.112641i 0.648540 0.761181i \(-0.275380\pi\)
−0.761181 + 0.648540i \(0.775380\pi\)
\(168\) −2.18527 + 2.20966i −0.168598 + 0.170479i
\(169\) 4.55129i 0.350099i
\(170\) 1.73808 14.5656i 0.133305 1.11713i
\(171\) 2.65494 1.53283i 0.203028 0.117218i
\(172\) −2.18003 0.584136i −0.166225 0.0445400i
\(173\) 2.43499 + 9.08750i 0.185129 + 0.690910i 0.994603 + 0.103754i \(0.0330856\pi\)
−0.809474 + 0.587155i \(0.800248\pi\)
\(174\) −11.3836 −0.862989
\(175\) −0.394370 13.2229i −0.0298116 0.999556i
\(176\) −0.743072 −0.0560111
\(177\) 0.775156 + 2.89292i 0.0582643 + 0.217445i
\(178\) 5.82653 + 1.56121i 0.436717 + 0.117018i
\(179\) −3.89494 + 2.24874i −0.291121 + 0.168079i −0.638447 0.769665i \(-0.720423\pi\)
0.347326 + 0.937744i \(0.387090\pi\)
\(180\) 0.429287 3.59753i 0.0319971 0.268144i
\(181\) 17.8850i 1.32938i −0.747118 0.664691i \(-0.768563\pi\)
0.747118 0.664691i \(-0.231437\pi\)
\(182\) −1.94915 + 7.43921i −0.144480 + 0.551431i
\(183\) 5.04460 + 5.04460i 0.372907 + 0.372907i
\(184\) 4.58251 + 2.64571i 0.337827 + 0.195044i
\(185\) −5.91186 + 0.851405i −0.434649 + 0.0625965i
\(186\) −2.01010 3.48160i −0.147388 0.255283i
\(187\) 4.70855 1.26165i 0.344323 0.0922612i
\(188\) −3.33020 + 3.33020i −0.242880 + 0.242880i
\(189\) 7.11019 12.4746i 0.517190 0.907392i
\(190\) 1.57150 3.92807i 0.114009 0.284972i
\(191\) 1.38774 2.40364i 0.100413 0.173921i −0.811442 0.584433i \(-0.801317\pi\)
0.911855 + 0.410512i \(0.134650\pi\)
\(192\) −0.304013 + 1.13459i −0.0219402 + 0.0818821i
\(193\) −1.33034 + 4.96491i −0.0957602 + 0.357382i −0.997134 0.0756607i \(-0.975893\pi\)
0.901373 + 0.433043i \(0.142560\pi\)
\(194\) −2.23936 + 3.87868i −0.160776 + 0.278473i
\(195\) 3.00693 + 7.01731i 0.215330 + 0.502520i
\(196\) 3.43250 6.10065i 0.245179 0.435761i
\(197\) 1.34043 1.34043i 0.0955019 0.0955019i −0.657742 0.753244i \(-0.728488\pi\)
0.753244 + 0.657742i \(0.228488\pi\)
\(198\) 1.16296 0.311614i 0.0826479 0.0221454i
\(199\) 7.25148 + 12.5599i 0.514043 + 0.890349i 0.999867 + 0.0162926i \(0.00518634\pi\)
−0.485824 + 0.874057i \(0.661480\pi\)
\(200\) −2.60433 4.26819i −0.184154 0.301807i
\(201\) 13.9275 + 8.04103i 0.982368 + 0.567171i
\(202\) −7.90662 7.90662i −0.556308 0.556308i
\(203\) 24.7300 6.77370i 1.73571 0.475420i
\(204\) 7.70563i 0.539502i
\(205\) −1.81555 0.216646i −0.126803 0.0151312i
\(206\) 2.10113 1.21309i 0.146393 0.0845198i
\(207\) −8.28144 2.21901i −0.575600 0.154232i
\(208\) 0.752300 + 2.80762i 0.0521627 + 0.194674i
\(209\) 1.40593 0.0972504
\(210\) −1.02872 6.87255i −0.0709886 0.474251i
\(211\) 10.0324 0.690660 0.345330 0.938481i \(-0.387767\pi\)
0.345330 + 0.938481i \(0.387767\pi\)
\(212\) 1.29040 + 4.81583i 0.0886249 + 0.330752i
\(213\) −18.1730 4.86945i −1.24520 0.333649i
\(214\) −5.75083 + 3.32024i −0.393119 + 0.226967i
\(215\) 3.96620 3.12055i 0.270493 0.212820i
\(216\) 5.42705i 0.369264i
\(217\) 6.43848 + 6.36741i 0.437073 + 0.432248i
\(218\) −6.33602 6.33602i −0.429129 0.429129i
\(219\) −9.00328 5.19804i −0.608385 0.351251i
\(220\) 0.995425 1.33038i 0.0671115 0.0896941i
\(221\) −9.53406 16.5135i −0.641330 1.11082i
\(222\) −3.03065 + 0.812061i −0.203404 + 0.0545020i
\(223\) 3.13756 3.13756i 0.210107 0.210107i −0.594206 0.804313i \(-0.702534\pi\)
0.804313 + 0.594206i \(0.202534\pi\)
\(224\) −0.0146827 2.64571i −0.000981028 0.176774i
\(225\) 5.86586 + 5.58787i 0.391058 + 0.372525i
\(226\) 0.217641 0.376965i 0.0144772 0.0250753i
\(227\) 0.173634 0.648012i 0.0115245 0.0430101i −0.959924 0.280260i \(-0.909579\pi\)
0.971449 + 0.237250i \(0.0762460\pi\)
\(228\) 0.575209 2.14671i 0.0380941 0.142169i
\(229\) 6.60166 11.4344i 0.436250 0.755608i −0.561146 0.827717i \(-0.689640\pi\)
0.997397 + 0.0721088i \(0.0229729\pi\)
\(230\) −10.8756 + 4.66020i −0.717115 + 0.307284i
\(231\) 1.99345 1.16572i 0.131159 0.0766986i
\(232\) 6.85282 6.85282i 0.449910 0.449910i
\(233\) 8.36389 2.24110i 0.547937 0.146819i 0.0257782 0.999668i \(-0.491794\pi\)
0.522158 + 0.852849i \(0.325127\pi\)
\(234\) −2.35481 4.07864i −0.153938 0.266629i
\(235\) −1.50115 10.4235i −0.0979243 0.679952i
\(236\) −2.20815 1.27487i −0.143738 0.0829873i
\(237\) 5.46757 + 5.46757i 0.355157 + 0.355157i
\(238\) 4.58516 + 16.7399i 0.297212 + 1.08509i
\(239\) 4.00294i 0.258929i −0.991584 0.129464i \(-0.958674\pi\)
0.991584 0.129464i \(-0.0413258\pi\)
\(240\) −1.62409 2.06420i −0.104834 0.133244i
\(241\) −15.0040 + 8.66256i −0.966493 + 0.558005i −0.898165 0.439658i \(-0.855100\pi\)
−0.0683274 + 0.997663i \(0.521766\pi\)
\(242\) −10.0918 2.70410i −0.648728 0.173826i
\(243\) 3.75364 + 14.0088i 0.240796 + 0.898663i
\(244\) −6.07359 −0.388822
\(245\) 6.32426 + 14.3180i 0.404042 + 0.914740i
\(246\) −0.960481 −0.0612380
\(247\) −1.42339 5.31218i −0.0905683 0.338006i
\(248\) 3.30595 + 0.885827i 0.209928 + 0.0562501i
\(249\) −13.2858 + 7.67055i −0.841952 + 0.486101i
\(250\) 11.1305 + 1.05497i 0.703952 + 0.0667222i
\(251\) 5.49938i 0.347118i 0.984824 + 0.173559i \(0.0555267\pi\)
−0.984824 + 0.173559i \(0.944473\pi\)
\(252\) 1.13248 + 4.13456i 0.0713397 + 0.260453i
\(253\) −2.78028 2.78028i −0.174795 0.174795i
\(254\) 13.6954 + 7.90707i 0.859329 + 0.496134i
\(255\) 13.7960 + 10.3225i 0.863939 + 0.646422i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 15.9473 4.27307i 0.994766 0.266547i 0.275515 0.961297i \(-0.411152\pi\)
0.719251 + 0.694750i \(0.244485\pi\)
\(258\) 1.87456 1.87456i 0.116705 0.116705i
\(259\) 6.10065 3.56750i 0.379076 0.221674i
\(260\) −6.03449 2.41421i −0.374243 0.149723i
\(261\) −7.85135 + 13.5989i −0.485986 + 0.841753i
\(262\) −2.48280 + 9.26595i −0.153388 + 0.572453i
\(263\) −2.55217 + 9.52484i −0.157374 + 0.587327i 0.841517 + 0.540231i \(0.181663\pi\)
−0.998890 + 0.0470956i \(0.985003\pi\)
\(264\) 0.436412 0.755887i 0.0268593 0.0465216i
\(265\) −10.3508 4.14102i −0.635843 0.254381i
\(266\) 0.0277804 + 5.00583i 0.00170333 + 0.306927i
\(267\) −5.01010 + 5.01010i −0.306613 + 0.306613i
\(268\) −13.2248 + 3.54358i −0.807835 + 0.216459i
\(269\) 4.47922 + 7.75824i 0.273103 + 0.473028i 0.969655 0.244478i \(-0.0786167\pi\)
−0.696552 + 0.717506i \(0.745283\pi\)
\(270\) 9.71647 + 7.27012i 0.591325 + 0.442445i
\(271\) −19.7889 11.4251i −1.20209 0.694027i −0.241071 0.970507i \(-0.577499\pi\)
−0.961020 + 0.276480i \(0.910832\pi\)
\(272\) 4.63872 + 4.63872i 0.281264 + 0.281264i
\(273\) −6.42276 6.35186i −0.388723 0.384432i
\(274\) 9.30954i 0.562410i
\(275\) 1.04840 + 3.56437i 0.0632209 + 0.214940i
\(276\) −5.38268 + 3.10769i −0.323999 + 0.187061i
\(277\) −20.7995 5.57320i −1.24972 0.334861i −0.427491 0.904019i \(-0.640603\pi\)
−0.822228 + 0.569158i \(0.807269\pi\)
\(278\) −5.73839 21.4160i −0.344166 1.28444i
\(279\) −5.54552 −0.332002
\(280\) 4.75649 + 3.51793i 0.284255 + 0.210236i
\(281\) −5.64885 −0.336982 −0.168491 0.985703i \(-0.553889\pi\)
−0.168491 + 0.985703i \(0.553889\pi\)
\(282\) −1.43178 5.34348i −0.0852614 0.318200i
\(283\) −2.82870 0.757948i −0.168149 0.0450553i 0.173762 0.984788i \(-0.444408\pi\)
−0.341911 + 0.939732i \(0.611074\pi\)
\(284\) 13.8714 8.00863i 0.823113 0.475225i
\(285\) 3.07286 + 3.90559i 0.182021 + 0.231347i
\(286\) 2.15986i 0.127715i
\(287\) 2.08657 0.571524i 0.123166 0.0337360i
\(288\) 1.14571 + 1.14571i 0.0675116 + 0.0675116i
\(289\) −22.5473 13.0177i −1.32631 0.765747i
\(290\) 3.08904 + 21.4492i 0.181395 + 1.25954i
\(291\) −2.63038 4.55596i −0.154196 0.267075i
\(292\) 8.54906 2.29071i 0.500296 0.134054i
\(293\) −10.7875 + 10.7875i −0.630212 + 0.630212i −0.948121 0.317909i \(-0.897019\pi\)
0.317909 + 0.948121i \(0.397019\pi\)
\(294\) 4.18993 + 7.07466i 0.244362 + 0.412602i
\(295\) 5.24056 2.24558i 0.305117 0.130743i
\(296\) 1.33557 2.31328i 0.0776285 0.134456i
\(297\) −1.04374 + 3.89528i −0.0605637 + 0.226027i
\(298\) −1.02036 + 3.80802i −0.0591077 + 0.220593i
\(299\) −7.69020 + 13.3198i −0.444736 + 0.770305i
\(300\) 5.87135 0.142505i 0.338982 0.00822751i
\(301\) −2.95689 + 5.18776i −0.170432 + 0.299018i
\(302\) 14.1035 14.1035i 0.811564 0.811564i
\(303\) 12.6866 3.39936i 0.728826 0.195288i
\(304\) 0.946027 + 1.63857i 0.0542584 + 0.0939783i
\(305\) 8.13624 10.8740i 0.465880 0.622645i
\(306\) −9.20520 5.31463i −0.526226 0.303817i
\(307\) 6.89201 + 6.89201i 0.393348 + 0.393348i 0.875879 0.482531i \(-0.160282\pi\)
−0.482531 + 0.875879i \(0.660282\pi\)
\(308\) −0.498288 + 1.90179i −0.0283926 + 0.108364i
\(309\) 2.84982i 0.162121i
\(310\) −6.01464 + 4.73224i −0.341609 + 0.268773i
\(311\) −0.109136 + 0.0630096i −0.00618852 + 0.00357294i −0.503091 0.864233i \(-0.667804\pi\)
0.496903 + 0.867806i \(0.334471\pi\)
\(312\) −3.29788 0.883663i −0.186706 0.0500276i
\(313\) −3.02662 11.2955i −0.171075 0.638459i −0.997187 0.0749536i \(-0.976119\pi\)
0.826112 0.563505i \(-0.190548\pi\)
\(314\) 7.46334 0.421181
\(315\) −8.91951 3.51112i −0.502558 0.197829i
\(316\) −6.58284 −0.370314
\(317\) −2.83308 10.5732i −0.159122 0.593851i −0.998717 0.0506382i \(-0.983874\pi\)
0.839595 0.543212i \(-0.182792\pi\)
\(318\) −5.65674 1.51572i −0.317214 0.0849974i
\(319\) −6.23657 + 3.60068i −0.349181 + 0.201600i
\(320\) 2.22032 + 0.264946i 0.124119 + 0.0148109i
\(321\) 7.80001i 0.435354i
\(322\) 9.84425 9.95413i 0.548599 0.554722i
\(323\) −8.77670 8.77670i −0.488349 0.488349i
\(324\) 1.31104 + 0.756928i 0.0728354 + 0.0420516i
\(325\) 12.4062 7.56992i 0.688173 0.419904i
\(326\) 6.08327 + 10.5365i 0.336921 + 0.583565i
\(327\) 10.1665 2.72410i 0.562208 0.150643i
\(328\) 0.578200 0.578200i 0.0319258 0.0319258i
\(329\) 6.29002 + 10.7563i 0.346780 + 0.593016i
\(330\) 0.768703 + 1.79393i 0.0423157 + 0.0987528i
\(331\) 2.73019 4.72883i 0.150065 0.259920i −0.781186 0.624298i \(-0.785385\pi\)
0.931251 + 0.364378i \(0.118718\pi\)
\(332\) 3.38031 12.6155i 0.185519 0.692366i
\(333\) −1.12017 + 4.18052i −0.0613848 + 0.229091i
\(334\) −1.02929 + 1.78279i −0.0563205 + 0.0975500i
\(335\) 11.3717 28.4244i 0.621304 1.55299i
\(336\) 2.69996 + 1.53891i 0.147295 + 0.0839544i
\(337\) 20.4823 20.4823i 1.11574 1.11574i 0.123385 0.992359i \(-0.460625\pi\)
0.992359 0.123385i \(-0.0393751\pi\)
\(338\) 4.39621 1.17796i 0.239122 0.0640727i
\(339\) 0.255644 + 0.442788i 0.0138847 + 0.0240490i
\(340\) −14.5191 + 2.09099i −0.787410 + 0.113400i
\(341\) −2.20249 1.27161i −0.119272 0.0688615i
\(342\) −2.16775 2.16775i −0.117218 0.117218i
\(343\) −13.3120 12.8760i −0.718781 0.695237i
\(344\) 2.25693i 0.121685i
\(345\) 1.64674 13.8001i 0.0886576 0.742973i
\(346\) 8.14763 4.70404i 0.438019 0.252891i
\(347\) 20.8040 + 5.57442i 1.11682 + 0.299250i 0.769595 0.638532i \(-0.220458\pi\)
0.347223 + 0.937783i \(0.387125\pi\)
\(348\) 2.94629 + 10.9957i 0.157938 + 0.589432i
\(349\) −12.5744 −0.673093 −0.336546 0.941667i \(-0.609259\pi\)
−0.336546 + 0.941667i \(0.609259\pi\)
\(350\) −12.6702 + 3.80326i −0.677253 + 0.203293i
\(351\) 15.7746 0.841987
\(352\) 0.192321 + 0.717752i 0.0102508 + 0.0382563i
\(353\) 0.666012 + 0.178457i 0.0354482 + 0.00949832i 0.276500 0.961014i \(-0.410826\pi\)
−0.241051 + 0.970512i \(0.577492\pi\)
\(354\) 2.59372 1.49749i 0.137855 0.0795905i
\(355\) −4.24371 + 35.5634i −0.225233 + 1.88751i
\(356\) 6.03207i 0.319699i
\(357\) −19.7215 5.16723i −1.04377 0.273479i
\(358\) 3.18020 + 3.18020i 0.168079 + 0.168079i
\(359\) 19.1381 + 11.0494i 1.01007 + 0.583165i 0.911212 0.411937i \(-0.135148\pi\)
0.0988582 + 0.995102i \(0.468481\pi\)
\(360\) −3.58606 + 0.516451i −0.189002 + 0.0272194i
\(361\) 7.71007 + 13.3542i 0.405793 + 0.702854i
\(362\) −17.2756 + 4.62898i −0.907985 + 0.243294i
\(363\) 8.67775 8.67775i 0.455464 0.455464i
\(364\) 7.69020 0.0426776i 0.403076 0.00223692i
\(365\) −7.35115 + 18.3747i −0.384777 + 0.961775i
\(366\) 3.56707 6.17834i 0.186454 0.322947i
\(367\) 3.47100 12.9539i 0.181185 0.676191i −0.814230 0.580542i \(-0.802841\pi\)
0.995415 0.0956487i \(-0.0304926\pi\)
\(368\) 1.36952 5.11112i 0.0713912 0.266436i
\(369\) −0.662450 + 1.14740i −0.0344858 + 0.0597311i
\(370\) 2.35250 + 5.49006i 0.122300 + 0.285415i
\(371\) 13.1908 0.0732036i 0.684830 0.00380054i
\(372\) −2.84271 + 2.84271i −0.147388 + 0.147388i
\(373\) 14.4564 3.87359i 0.748526 0.200567i 0.135662 0.990755i \(-0.456684\pi\)
0.612864 + 0.790188i \(0.290017\pi\)
\(374\) −2.43733 4.22157i −0.126031 0.218292i
\(375\) −7.61017 + 10.7028i −0.392987 + 0.552691i
\(376\) 4.07864 + 2.35481i 0.210340 + 0.121440i
\(377\) 19.9189 + 19.9189i 1.02587 + 1.02587i
\(378\) −13.8898 3.63926i −0.714413 0.187183i
\(379\) 1.71784i 0.0882395i −0.999026 0.0441198i \(-0.985952\pi\)
0.999026 0.0441198i \(-0.0140483\pi\)
\(380\) −4.20096 0.501292i −0.215505 0.0257157i
\(381\) −16.0869 + 9.28776i −0.824156 + 0.475827i
\(382\) −2.68091 0.718348i −0.137167 0.0367539i
\(383\) −2.70676 10.1017i −0.138309 0.516175i −0.999962 0.00867837i \(-0.997238\pi\)
0.861654 0.507497i \(-0.169429\pi\)
\(384\) 1.17462 0.0599418
\(385\) −2.73741 3.43977i −0.139511 0.175307i
\(386\) 5.14005 0.261622
\(387\) −0.946464 3.53225i −0.0481114 0.179554i
\(388\) 4.32611 + 1.15918i 0.219625 + 0.0588483i
\(389\) 18.8548 10.8858i 0.955978 0.551934i 0.0610449 0.998135i \(-0.480557\pi\)
0.894933 + 0.446201i \(0.147223\pi\)
\(390\) 5.99995 4.72068i 0.303819 0.239041i
\(391\) 34.7124i 1.75548i
\(392\) −6.78117 1.73658i −0.342501 0.0877104i
\(393\) −7.96759 7.96759i −0.401912 0.401912i
\(394\) −1.64169 0.947829i −0.0827071 0.0477510i
\(395\) 8.81843 11.7858i 0.443703 0.593006i
\(396\) −0.601992 1.04268i −0.0302512 0.0523967i
\(397\) −30.6188 + 8.20427i −1.53671 + 0.411761i −0.925202 0.379476i \(-0.876104\pi\)
−0.611510 + 0.791237i \(0.709438\pi\)
\(398\) 10.2551 10.2551i 0.514043 0.514043i
\(399\) −5.10848 2.91170i −0.255744 0.145767i
\(400\) −3.44871 + 3.62028i −0.172435 + 0.181014i
\(401\) −6.98528 + 12.0989i −0.348828 + 0.604188i −0.986042 0.166499i \(-0.946754\pi\)
0.637213 + 0.770687i \(0.280087\pi\)
\(402\) 4.16234 15.5341i 0.207599 0.774769i
\(403\) −2.57480 + 9.60930i −0.128260 + 0.478673i
\(404\) −5.59083 + 9.68359i −0.278154 + 0.481777i
\(405\) −3.11146 + 1.33327i −0.154610 + 0.0662505i
\(406\) −12.9435 22.1342i −0.642374 1.09850i
\(407\) −1.40350 + 1.40350i −0.0695690 + 0.0695690i
\(408\) −7.44307 + 1.99437i −0.368487 + 0.0987358i
\(409\) −9.36960 16.2286i −0.463297 0.802454i 0.535826 0.844328i \(-0.320000\pi\)
−0.999123 + 0.0418748i \(0.986667\pi\)
\(410\) 0.260635 + 1.80976i 0.0128718 + 0.0893776i
\(411\) −9.47010 5.46757i −0.467126 0.269695i
\(412\) −1.71557 1.71557i −0.0845198 0.0845198i
\(413\) −4.74360 + 4.79654i −0.233417 + 0.236022i
\(414\) 8.57358i 0.421369i
\(415\) 18.0582 + 22.9519i 0.886443 + 1.12666i
\(416\) 2.51725 1.45333i 0.123418 0.0712555i
\(417\) 25.1555 + 6.74040i 1.23187 + 0.330079i
\(418\) −0.363882 1.35803i −0.0177981 0.0664232i
\(419\) −31.5744 −1.54251 −0.771255 0.636526i \(-0.780371\pi\)
−0.771255 + 0.636526i \(0.780371\pi\)
\(420\) −6.37212 + 2.77242i −0.310928 + 0.135280i
\(421\) −13.5569 −0.660722 −0.330361 0.943855i \(-0.607171\pi\)
−0.330361 + 0.943855i \(0.607171\pi\)
\(422\) −2.59658 9.69057i −0.126399 0.471729i
\(423\) −7.37087 1.97502i −0.358384 0.0960287i
\(424\) 4.31775 2.49286i 0.209689 0.121064i
\(425\) 15.7063 28.7958i 0.761866 1.39680i
\(426\) 18.8141i 0.911547i
\(427\) −4.07282 + 15.5445i −0.197097 + 0.752252i
\(428\) 4.69553 + 4.69553i 0.226967 + 0.226967i
\(429\) 2.19711 + 1.26850i 0.106078 + 0.0612439i
\(430\) −4.04075 3.02340i −0.194862 0.145801i
\(431\) −6.63518 11.4925i −0.319605 0.553572i 0.660800 0.750562i \(-0.270217\pi\)
−0.980406 + 0.196989i \(0.936884\pi\)
\(432\) −5.24213 + 1.40462i −0.252212 + 0.0675800i
\(433\) 12.0535 12.0535i 0.579252 0.579252i −0.355445 0.934697i \(-0.615671\pi\)
0.934697 + 0.355445i \(0.115671\pi\)
\(434\) 4.48405 7.86710i 0.215241 0.377633i
\(435\) −23.6334 9.45497i −1.13313 0.453331i
\(436\) −4.48024 + 7.76000i −0.214565 + 0.371637i
\(437\) −2.59121 + 9.67052i −0.123954 + 0.462604i
\(438\) −2.69071 + 10.0419i −0.128567 + 0.479818i
\(439\) 17.5238 30.3521i 0.836366 1.44863i −0.0565475 0.998400i \(-0.518009\pi\)
0.892913 0.450228i \(-0.148657\pi\)
\(440\) −1.54268 0.617179i −0.0735445 0.0294229i
\(441\) 11.3413 0.125883i 0.540060 0.00599443i
\(442\) −13.4832 + 13.4832i −0.641330 + 0.641330i
\(443\) 0.0609189 0.0163232i 0.00289435 0.000775538i −0.257372 0.966313i \(-0.582856\pi\)
0.260266 + 0.965537i \(0.416190\pi\)
\(444\) 1.56878 + 2.71721i 0.0744511 + 0.128953i
\(445\) 10.7997 + 8.08060i 0.511954 + 0.383057i
\(446\) −3.84271 2.21859i −0.181958 0.105053i
\(447\) −3.27444 3.27444i −0.154876 0.154876i
\(448\) −2.55176 + 0.698943i −0.120559 + 0.0330219i
\(449\) 24.5207i 1.15720i 0.815611 + 0.578601i \(0.196401\pi\)
−0.815611 + 0.578601i \(0.803599\pi\)
\(450\) 3.87927 7.11224i 0.182870 0.335274i
\(451\) −0.526205 + 0.303804i −0.0247780 + 0.0143056i
\(452\) −0.420450 0.112659i −0.0197763 0.00529904i
\(453\) 6.06364 + 22.6298i 0.284894 + 1.06324i
\(454\) −0.670872 −0.0314856
\(455\) −10.2254 + 13.8255i −0.479376 + 0.648151i
\(456\) −2.22244 −0.104075
\(457\) 5.19531 + 19.3892i 0.243027 + 0.906987i 0.974365 + 0.224973i \(0.0722293\pi\)
−0.731339 + 0.682015i \(0.761104\pi\)
\(458\) −12.7534 3.41727i −0.595929 0.159679i
\(459\) 30.8324 17.8011i 1.43913 0.830884i
\(460\) 7.31621 + 9.29886i 0.341120 + 0.433561i
\(461\) 11.6940i 0.544642i −0.962207 0.272321i \(-0.912209\pi\)
0.962207 0.272321i \(-0.0877912\pi\)
\(462\) −1.64194 1.62382i −0.0763900 0.0755468i
\(463\) 2.77226 + 2.77226i 0.128838 + 0.128838i 0.768585 0.639747i \(-0.220961\pi\)
−0.639747 + 0.768585i \(0.720961\pi\)
\(464\) −8.39295 4.84567i −0.389633 0.224955i
\(465\) −1.28141 8.89765i −0.0594239 0.412619i
\(466\) −4.32947 7.49886i −0.200559 0.347378i
\(467\) −20.2080 + 5.41472i −0.935116 + 0.250563i −0.694035 0.719942i \(-0.744169\pi\)
−0.241081 + 0.970505i \(0.577502\pi\)
\(468\) −3.33020 + 3.33020i −0.153938 + 0.153938i
\(469\) 0.201026 + 36.2233i 0.00928250 + 1.67264i
\(470\) −9.67977 + 4.14779i −0.446495 + 0.191323i
\(471\) −4.38327 + 7.59205i −0.201971 + 0.349823i
\(472\) −0.659924 + 2.46287i −0.0303754 + 0.113363i
\(473\) 0.434055 1.61992i 0.0199579 0.0744838i
\(474\) 3.86615 6.69637i 0.177578 0.307575i
\(475\) 6.52514 6.84976i 0.299394 0.314289i
\(476\) 14.9828 8.76153i 0.686734 0.401584i
\(477\) −5.71218 + 5.71218i −0.261543 + 0.261543i
\(478\) −3.86655 + 1.03604i −0.176852 + 0.0473873i
\(479\) −12.1419 21.0303i −0.554775 0.960899i −0.997921 0.0644496i \(-0.979471\pi\)
0.443145 0.896450i \(-0.353863\pi\)
\(480\) −1.57352 + 2.10300i −0.0718212 + 0.0959886i
\(481\) 6.72392 + 3.88206i 0.306584 + 0.177007i
\(482\) 12.2507 + 12.2507i 0.558005 + 0.558005i
\(483\) 4.34420 + 15.8602i 0.197668 + 0.721663i
\(484\) 10.4478i 0.474902i
\(485\) −7.87065 + 6.19252i −0.357388 + 0.281188i
\(486\) 12.5599 7.25148i 0.569730 0.328934i
\(487\) −2.46890 0.661539i −0.111876 0.0299772i 0.202446 0.979293i \(-0.435111\pi\)
−0.314323 + 0.949316i \(0.601777\pi\)
\(488\) 1.57196 + 5.86664i 0.0711594 + 0.265570i
\(489\) −14.2910 −0.646262
\(490\) 12.1932 9.81452i 0.550834 0.443375i
\(491\) 14.5668 0.657391 0.328695 0.944436i \(-0.393391\pi\)
0.328695 + 0.944436i \(0.393391\pi\)
\(492\) 0.248591 + 0.927753i 0.0112073 + 0.0418264i
\(493\) 61.4102 + 16.4548i 2.76578 + 0.741088i
\(494\) −4.76277 + 2.74978i −0.214287 + 0.123719i
\(495\) 2.67323 + 0.318991i 0.120153 + 0.0143376i
\(496\) 3.42257i 0.153678i
\(497\) −11.1951 40.8722i −0.502171 1.83337i
\(498\) 10.8478 + 10.8478i 0.486101 + 0.486101i
\(499\) −26.0565 15.0437i −1.16645 0.673450i −0.213608 0.976919i \(-0.568522\pi\)
−0.952841 + 0.303469i \(0.901855\pi\)
\(500\) −1.86175 11.0242i −0.0832600 0.493019i
\(501\) −1.20902 2.09409i −0.0540152 0.0935572i
\(502\) 5.31199 1.42334i 0.237086 0.0635269i
\(503\) −24.6819 + 24.6819i −1.10051 + 1.10051i −0.106161 + 0.994349i \(0.533856\pi\)
−0.994349 + 0.106161i \(0.966144\pi\)
\(504\) 3.70057 2.16400i 0.164837 0.0963921i
\(505\) −9.84777 22.9819i −0.438220 1.02268i
\(506\) −1.96595 + 3.40513i −0.0873973 + 0.151377i
\(507\) −1.38365 + 5.16386i −0.0614501 + 0.229335i
\(508\) 4.09300 15.2753i 0.181598 0.677731i
\(509\) 6.22521 10.7824i 0.275927 0.477920i −0.694441 0.719549i \(-0.744348\pi\)
0.970369 + 0.241629i \(0.0776817\pi\)
\(510\) 6.40013 15.9976i 0.283403 0.708384i
\(511\) −0.129951 23.4162i −0.00574869 1.03587i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) 9.91839 2.65762i 0.437908 0.117337i
\(514\) −8.25494 14.2980i −0.364110 0.630656i
\(515\) 5.36969 0.773324i 0.236617 0.0340767i
\(516\) −2.29585 1.32551i −0.101069 0.0583524i
\(517\) −2.47458 2.47458i −0.108832 0.108832i
\(518\) −5.02490 4.96944i −0.220782 0.218345i
\(519\) 11.0509i 0.485079i
\(520\) −0.770110 + 6.45372i −0.0337715 + 0.283014i
\(521\) 30.6011 17.6676i 1.34066 0.774030i 0.353756 0.935338i \(-0.384904\pi\)
0.986904 + 0.161308i \(0.0515711\pi\)
\(522\) 15.1676 + 4.06416i 0.663869 + 0.177883i
\(523\) −4.25513 15.8804i −0.186064 0.694400i −0.994400 0.105679i \(-0.966298\pi\)
0.808336 0.588721i \(-0.200368\pi\)
\(524\) 9.59282 0.419064
\(525\) 3.57247 15.1225i 0.155916 0.659998i
\(526\) 9.86084 0.429953
\(527\) 5.81115 + 21.6875i 0.253137 + 0.944722i
\(528\) −0.843083 0.225903i −0.0366905 0.00983118i
\(529\) 4.32938 2.49957i 0.188234 0.108677i
\(530\) −1.32094 + 11.0699i −0.0573782 + 0.480844i
\(531\) 4.13131i 0.179283i
\(532\) 4.82807 1.32244i 0.209323 0.0573349i
\(533\) 1.68063 + 1.68063i 0.0727964 + 0.0727964i
\(534\) 6.13610 + 3.54268i 0.265535 + 0.153307i
\(535\) −14.6969 + 2.11660i −0.635404 + 0.0915086i
\(536\) 6.84567 + 11.8571i 0.295688 + 0.512147i
\(537\) −5.10281 + 1.36729i −0.220202 + 0.0590031i
\(538\) 6.33457 6.33457i 0.273103 0.273103i
\(539\) 4.53322 + 2.55059i 0.195260 + 0.109862i
\(540\) 4.50759 11.2670i 0.193976 0.484856i
\(541\) 13.2572 22.9621i 0.569970 0.987218i −0.426598 0.904441i \(-0.640288\pi\)
0.996568 0.0827763i \(-0.0263787\pi\)
\(542\) −5.91408 + 22.0717i −0.254032 + 0.948059i
\(543\) 5.43727 20.2922i 0.233336 0.870820i
\(544\) 3.28007 5.68124i 0.140632 0.243581i
\(545\) −7.89157 18.4167i −0.338038 0.788884i
\(546\) −4.47310 + 7.84789i −0.191431 + 0.335859i
\(547\) −1.07403 + 1.07403i −0.0459223 + 0.0459223i −0.729695 0.683773i \(-0.760338\pi\)
0.683773 + 0.729695i \(0.260338\pi\)
\(548\) 8.99233 2.40949i 0.384133 0.102928i
\(549\) −4.92046 8.52249i −0.210000 0.363731i
\(550\) 3.17157 1.93520i 0.135236 0.0825174i
\(551\) 15.8799 + 9.16828i 0.676507 + 0.390582i
\(552\) 4.39494 + 4.39494i 0.187061 + 0.187061i
\(553\) −4.41431 + 16.8479i −0.187715 + 0.716444i
\(554\) 21.5332i 0.914858i
\(555\) −6.96638 0.831285i −0.295706 0.0352861i
\(556\) −19.2010 + 11.0857i −0.814305 + 0.470139i
\(557\) −15.0145 4.02313i −0.636186 0.170466i −0.0737108 0.997280i \(-0.523484\pi\)
−0.562475 + 0.826814i \(0.690151\pi\)
\(558\) 1.43529 + 5.35657i 0.0607606 + 0.226761i
\(559\) −6.56014 −0.277464
\(560\) 2.16699 5.50492i 0.0915719 0.232625i
\(561\) 5.72584 0.241745
\(562\) 1.46203 + 5.45637i 0.0616721 + 0.230163i
\(563\) −26.5108 7.10355i −1.11730 0.299379i −0.347508 0.937677i \(-0.612972\pi\)
−0.769789 + 0.638298i \(0.779639\pi\)
\(564\) −4.79084 + 2.76599i −0.201731 + 0.116469i
\(565\) 0.764940 0.601844i 0.0321813 0.0253198i
\(566\) 2.92849i 0.123093i
\(567\) 2.81641 2.84784i 0.118278 0.119598i
\(568\) −11.3259 11.3259i −0.475225 0.475225i
\(569\) 5.85207 + 3.37869i 0.245332 + 0.141642i 0.617625 0.786473i \(-0.288095\pi\)
−0.372293 + 0.928115i \(0.621428\pi\)
\(570\) 2.97719 3.97900i 0.124701 0.166662i
\(571\) −5.87721 10.1796i −0.245953 0.426004i 0.716446 0.697643i \(-0.245768\pi\)
−0.962399 + 0.271639i \(0.912434\pi\)
\(572\) −2.08627 + 0.559013i −0.0872312 + 0.0233735i
\(573\) 2.30526 2.30526i 0.0963034 0.0963034i
\(574\) −1.09209 1.86755i −0.0455831 0.0779501i
\(575\) −26.4493 + 0.641957i −1.10301 + 0.0267715i
\(576\) 0.810140 1.40320i 0.0337558 0.0584668i
\(577\) 0.583767 2.17865i 0.0243025 0.0906983i −0.952709 0.303883i \(-0.901717\pi\)
0.977012 + 0.213184i \(0.0683835\pi\)
\(578\) −6.73845 + 25.1483i −0.280283 + 1.04603i
\(579\) −3.01879 + 5.22870i −0.125457 + 0.217297i
\(580\) 19.9189 8.53525i 0.827085 0.354407i
\(581\) −30.0209 17.1111i −1.24547 0.709889i
\(582\) −3.71992 + 3.71992i −0.154196 + 0.154196i
\(583\) −3.57851 + 0.958858i −0.148207 + 0.0397118i
\(584\) −4.42532 7.66488i −0.183121 0.317175i
\(585\) −1.50115 10.4235i −0.0620649 0.430957i
\(586\) 13.2119 + 7.62790i 0.545779 + 0.315106i
\(587\) −12.8372 12.8372i −0.529847 0.529847i 0.390680 0.920527i \(-0.372240\pi\)
−0.920527 + 0.390680i \(0.872240\pi\)
\(588\) 5.74916 5.87822i 0.237091 0.242414i
\(589\) 6.47569i 0.266826i
\(590\) −3.52542 4.48079i −0.145139 0.184471i
\(591\) 1.92835 1.11333i 0.0793218 0.0457965i
\(592\) −2.58012 0.691342i −0.106042 0.0284140i
\(593\) 9.40957 + 35.1170i 0.386405 + 1.44208i 0.835940 + 0.548820i \(0.184923\pi\)
−0.449535 + 0.893262i \(0.648410\pi\)
\(594\) 4.03269 0.165463
\(595\) −4.38460 + 38.5618i −0.179751 + 1.58088i
\(596\) 3.94236 0.161485
\(597\) 4.40908 + 16.4549i 0.180452 + 0.673455i
\(598\) 14.8563 + 3.98074i 0.607520 + 0.162785i
\(599\) −30.9792 + 17.8858i −1.26578 + 0.730796i −0.974186 0.225748i \(-0.927517\pi\)
−0.291589 + 0.956544i \(0.594184\pi\)
\(600\) −1.65727 5.63440i −0.0676576 0.230024i
\(601\) 45.6631i 1.86264i 0.364204 + 0.931319i \(0.381341\pi\)
−0.364204 + 0.931319i \(0.618659\pi\)
\(602\) 5.77629 + 1.51345i 0.235424 + 0.0616835i
\(603\) −15.6863 15.6863i −0.638796 0.638796i
\(604\) −17.2732 9.97267i −0.702835 0.405782i
\(605\) −18.7056 13.9960i −0.760490 0.569019i
\(606\) −6.56707 11.3745i −0.266769 0.462057i
\(607\) −1.13151 + 0.303188i −0.0459267 + 0.0123060i −0.281709 0.959500i \(-0.590901\pi\)
0.235783 + 0.971806i \(0.424235\pi\)
\(608\) 1.33788 1.33788i 0.0542584 0.0542584i
\(609\) 30.1177 0.167142i 1.22043 0.00677293i
\(610\) −12.6093 5.04460i −0.510536 0.204250i
\(611\) −6.84463 + 11.8553i −0.276904 + 0.479612i
\(612\) −2.75105 + 10.2671i −0.111205 + 0.415022i
\(613\) −3.60737 + 13.4629i −0.145700 + 0.543760i 0.854023 + 0.520235i \(0.174156\pi\)
−0.999723 + 0.0235253i \(0.992511\pi\)
\(614\) 4.87339 8.44095i 0.196674 0.340649i
\(615\) −1.99404 0.797755i −0.0804076 0.0321686i
\(616\) 1.96595 0.0109103i 0.0792105 0.000439588i
\(617\) 22.7725 22.7725i 0.916788 0.916788i −0.0800065 0.996794i \(-0.525494\pi\)
0.996794 + 0.0800065i \(0.0254941\pi\)
\(618\) 2.75272 0.737588i 0.110731 0.0296702i
\(619\) 11.3386 + 19.6391i 0.455738 + 0.789361i 0.998730 0.0503763i \(-0.0160421\pi\)
−0.542992 + 0.839738i \(0.682709\pi\)
\(620\) 6.12770 + 4.58491i 0.246094 + 0.184134i
\(621\) −24.8695 14.3584i −0.997978 0.576183i
\(622\) 0.0891090 + 0.0891090i 0.00357294 + 0.00357294i
\(623\) −15.4382 4.04497i −0.618520 0.162058i
\(624\) 3.41421i 0.136678i
\(625\) 22.2316 + 11.4349i 0.889263 + 0.457397i
\(626\) −10.1273 + 5.84698i −0.404767 + 0.233692i
\(627\) 1.59516 + 0.427421i 0.0637045 + 0.0170696i
\(628\) −1.93165 7.20903i −0.0770814 0.287672i
\(629\) 17.5231 0.698690
\(630\) −1.08295 + 9.52433i −0.0431456 + 0.379459i
\(631\) 32.4210 1.29066 0.645330 0.763904i \(-0.276720\pi\)
0.645330 + 0.763904i \(0.276720\pi\)
\(632\) 1.70376 + 6.35854i 0.0677721 + 0.252929i
\(633\) 11.3827 + 3.04998i 0.452421 + 0.121226i
\(634\) −9.47968 + 5.47310i −0.376486 + 0.217364i
\(635\) 21.8655 + 27.7909i 0.867706 + 1.10285i
\(636\) 5.85629i 0.232217i
\(637\) 5.04765 19.7106i 0.199995 0.780963i
\(638\) 5.09214 + 5.09214i 0.201600 + 0.201600i
\(639\) 22.4755 + 12.9762i 0.889116 + 0.513331i
\(640\) −0.318742 2.21323i −0.0125994 0.0874857i
\(641\) 0.428070 + 0.741439i 0.0169077 + 0.0292851i 0.874355 0.485286i \(-0.161285\pi\)
−0.857448 + 0.514571i \(0.827951\pi\)
\(642\) −7.53423 + 2.01879i −0.297353 + 0.0796754i
\(643\) 16.4254 16.4254i 0.647754 0.647754i −0.304696 0.952450i \(-0.598555\pi\)
0.952450 + 0.304696i \(0.0985548\pi\)
\(644\) −12.1628 6.93250i −0.479283 0.273179i
\(645\) 5.44871 2.33478i 0.214543 0.0919317i
\(646\) −6.20607 + 10.7492i −0.244174 + 0.422922i
\(647\) −12.2805 + 45.8316i −0.482798 + 1.80183i 0.106982 + 0.994261i \(0.465881\pi\)
−0.589779 + 0.807564i \(0.700785\pi\)
\(648\) 0.391815 1.46227i 0.0153919 0.0574435i
\(649\) 0.947323 1.64081i 0.0371857 0.0644075i
\(650\) −10.5229 10.0242i −0.412744 0.393183i
\(651\) 5.36927 + 9.18179i 0.210438 + 0.359863i
\(652\) 8.60305 8.60305i 0.336921 0.336921i
\(653\) −25.3781 + 6.80004i −0.993121 + 0.266106i −0.718561 0.695464i \(-0.755199\pi\)
−0.274560 + 0.961570i \(0.588532\pi\)
\(654\) −5.26256 9.11502i −0.205782 0.356425i
\(655\) −12.8506 + 17.1748i −0.502115 + 0.671074i
\(656\) −0.708148 0.408849i −0.0276485 0.0159629i
\(657\) 10.1403 + 10.1403i 0.395609 + 0.395609i
\(658\) 8.76184 8.85964i 0.341572 0.345385i
\(659\) 26.2355i 1.02199i −0.859583 0.510996i \(-0.829277\pi\)
0.859583 0.510996i \(-0.170723\pi\)
\(660\) 1.53385 1.20681i 0.0597051 0.0469752i
\(661\) −12.6197 + 7.28597i −0.490848 + 0.283391i −0.724926 0.688827i \(-0.758126\pi\)
0.234078 + 0.972218i \(0.424793\pi\)
\(662\) −5.27432 1.41325i −0.204992 0.0549275i
\(663\) −5.79695 21.6345i −0.225135 0.840215i
\(664\) −13.0605 −0.506847
\(665\) −4.10006 + 10.4156i −0.158993 + 0.403900i
\(666\) 4.32800 0.167706
\(667\) −13.2725 49.5336i −0.513913 1.91795i
\(668\) 1.98844 + 0.532802i 0.0769352 + 0.0206147i
\(669\) 4.51371 2.60599i 0.174510 0.100753i
\(670\) −30.3991 3.62747i −1.17442 0.140141i
\(671\) 4.51312i 0.174227i
\(672\) 0.787671 3.00626i 0.0303851 0.115969i
\(673\) −16.4201 16.4201i −0.632950 0.632950i 0.315857 0.948807i \(-0.397708\pi\)
−0.948807 + 0.315857i \(0.897708\pi\)
\(674\) −25.0856 14.4832i −0.966263 0.557872i
\(675\) 14.1338 + 23.1637i 0.544011 + 0.891571i
\(676\) −2.27565 3.94154i −0.0875249 0.151598i
\(677\) −21.9882 + 5.89172i −0.845075 + 0.226437i −0.655280 0.755386i \(-0.727449\pi\)
−0.189796 + 0.981824i \(0.560783\pi\)
\(678\) 0.361535 0.361535i 0.0138847 0.0138847i
\(679\) 5.86774 10.2947i 0.225183 0.395076i
\(680\) 5.77756 + 13.4832i 0.221559 + 0.517057i
\(681\) 0.394008 0.682442i 0.0150984 0.0261512i
\(682\) −0.658233 + 2.45656i −0.0252050 + 0.0940665i
\(683\) 7.93034 29.5964i 0.303446 1.13248i −0.630829 0.775922i \(-0.717285\pi\)
0.934275 0.356554i \(-0.116048\pi\)
\(684\) −1.53283 + 2.65494i −0.0586091 + 0.101514i
\(685\) −7.73231 + 19.3274i −0.295436 + 0.738463i
\(686\) −8.99183 + 16.1910i −0.343310 + 0.618173i
\(687\) 10.9664 10.9664i 0.418394 0.418394i
\(688\) 2.18003 0.584136i 0.0831127 0.0222700i
\(689\) 7.24590 + 12.5503i 0.276047 + 0.478127i
\(690\) −13.7561 + 1.98110i −0.523686 + 0.0754193i
\(691\) 27.7284 + 16.0090i 1.05484 + 0.609012i 0.924000 0.382392i \(-0.124900\pi\)
0.130839 + 0.991404i \(0.458233\pi\)
\(692\) −6.65251 6.65251i −0.252891 0.252891i
\(693\) −3.07228 + 0.841516i −0.116706 + 0.0319665i
\(694\) 21.5379i 0.817567i
\(695\) 5.87423 49.2276i 0.222822 1.86731i
\(696\) 9.85849 5.69180i 0.373685 0.215747i
\(697\) 5.18143 + 1.38836i 0.196261 + 0.0525879i
\(698\) 3.25450 + 12.1459i 0.123184 + 0.459731i
\(699\) 10.1709 0.384699
\(700\) 6.95297 + 11.2542i 0.262798 + 0.425367i
\(701\) −18.5294 −0.699844 −0.349922 0.936779i \(-0.613792\pi\)
−0.349922 + 0.936779i \(0.613792\pi\)
\(702\) −4.08277 15.2371i −0.154094 0.575088i
\(703\) 4.88174 + 1.30806i 0.184118 + 0.0493343i
\(704\) 0.643519 0.371536i 0.0242535 0.0140028i
\(705\) 1.46568 12.2827i 0.0552006 0.462595i
\(706\) 0.689506i 0.0259499i
\(707\) 21.0347 + 20.8025i 0.791092 + 0.782360i
\(708\) −2.11777 2.11777i −0.0795905 0.0795905i
\(709\) 23.1074 + 13.3411i 0.867818 + 0.501035i 0.866622 0.498965i \(-0.166286\pi\)
0.00119522 + 0.999999i \(0.499620\pi\)
\(710\) 35.4499 5.10537i 1.33041 0.191601i
\(711\) −5.33302 9.23706i −0.200004 0.346417i
\(712\) −5.82653 + 1.56121i −0.218358 + 0.0585089i
\(713\) 12.8059 12.8059i 0.479585 0.479585i
\(714\) 0.113139 + 20.3869i 0.00423413 + 0.762960i
\(715\) 1.79393 4.48406i 0.0670893 0.167694i
\(716\) 2.24874 3.89494i 0.0840395 0.145561i
\(717\) 1.21695 4.54170i 0.0454477 0.169613i
\(718\) 5.71959 21.3458i 0.213453 0.796618i
\(719\) 15.9890 27.6937i 0.596288 1.03280i −0.397076 0.917786i \(-0.629975\pi\)
0.993364 0.115015i \(-0.0366917\pi\)
\(720\) 1.42699 + 3.33020i 0.0531809 + 0.124109i
\(721\) −5.54117 + 3.24033i −0.206364 + 0.120676i
\(722\) 10.9037 10.9037i 0.405793 0.405793i
\(723\) −19.6569 + 5.26706i −0.731049 + 0.195884i
\(724\) 8.94250 + 15.4889i 0.332346 + 0.575639i
\(725\) −11.4021 + 47.0961i −0.423465 + 1.74911i
\(726\) −10.6280 6.13610i −0.394443 0.227732i
\(727\) −21.4539 21.4539i −0.795683 0.795683i 0.186729 0.982412i \(-0.440211\pi\)
−0.982412 + 0.186729i \(0.940211\pi\)
\(728\) −2.03159 7.41711i −0.0752958 0.274897i
\(729\) 21.5770i 0.799146i
\(730\) 19.6512 + 2.34494i 0.727324 + 0.0867901i
\(731\) −12.8222 + 7.40288i −0.474245 + 0.273805i
\(732\) −6.89105 1.84645i −0.254700 0.0682468i
\(733\) −3.36789 12.5691i −0.124396 0.464252i 0.875422 0.483360i \(-0.160584\pi\)
−0.999817 + 0.0191085i \(0.993917\pi\)
\(734\) −13.4109 −0.495006
\(735\) 2.82261 + 18.1677i 0.104113 + 0.670125i
\(736\) −5.29142 −0.195044
\(737\) −2.63314 9.82700i −0.0969928 0.361982i
\(738\) 1.27976 + 0.342909i 0.0471084 + 0.0126227i
\(739\) 3.12136 1.80212i 0.114821 0.0662920i −0.441490 0.897266i \(-0.645550\pi\)
0.556311 + 0.830974i \(0.312216\pi\)
\(740\) 4.69412 3.69327i 0.172559 0.135767i
\(741\) 6.45988i 0.237309i
\(742\) −3.48473 12.7223i −0.127928 0.467052i
\(743\) 31.1070 + 31.1070i 1.14121 + 1.14121i 0.988230 + 0.152977i \(0.0488859\pi\)
0.152977 + 0.988230i \(0.451114\pi\)
\(744\) 3.48160 + 2.01010i 0.127642 + 0.0736939i
\(745\) −5.28121 + 7.05831i −0.193489 + 0.258596i
\(746\) −7.48320 12.9613i −0.273979 0.474546i
\(747\) 20.4406 5.47705i 0.747884 0.200395i
\(748\) −3.44690 + 3.44690i −0.126031 + 0.126031i
\(749\) 15.1663 8.86884i 0.554164 0.324060i
\(750\) 12.3078 + 4.58076i 0.449417 + 0.167266i
\(751\) 25.5141 44.1917i 0.931023 1.61258i 0.149447 0.988770i \(-0.452251\pi\)
0.781576 0.623810i \(-0.214416\pi\)
\(752\) 1.21894 4.54913i 0.0444501 0.165890i
\(753\) −1.67188 + 6.23954i −0.0609267 + 0.227382i
\(754\) 14.0848 24.3955i 0.512936 0.888432i
\(755\) 40.9941 17.5660i 1.49193 0.639293i
\(756\) 0.0796836 + 14.3584i 0.00289807 + 0.522210i
\(757\) 26.8141 26.8141i 0.974576 0.974576i −0.0251083 0.999685i \(-0.507993\pi\)
0.999685 + 0.0251083i \(0.00799305\pi\)
\(758\) −1.65931 + 0.444610i −0.0602687 + 0.0161490i
\(759\) −2.30924 3.99972i −0.0838200 0.145181i
\(760\) 0.603077 + 4.18756i 0.0218759 + 0.151899i
\(761\) −25.8753 14.9391i −0.937980 0.541543i −0.0486532 0.998816i \(-0.515493\pi\)
−0.889326 + 0.457273i \(0.848826\pi\)
\(762\) 13.1349 + 13.1349i 0.475827 + 0.475827i
\(763\) 16.8563 + 16.6702i 0.610239 + 0.603503i
\(764\) 2.77548i 0.100413i
\(765\) −14.6966 18.6793i −0.531357 0.675351i
\(766\) −9.05698 + 5.22905i −0.327242 + 0.188933i
\(767\) −7.15874 1.91818i −0.258487 0.0692614i
\(768\) −0.304013 1.13459i −0.0109701 0.0409410i
\(769\) −44.7341 −1.61315 −0.806576 0.591130i \(-0.798682\pi\)
−0.806576 + 0.591130i \(0.798682\pi\)
\(770\) −2.61407 + 3.53441i −0.0942047 + 0.127371i
\(771\) 19.3927 0.698413