Properties

Label 70.2.k.a.17.2
Level $70$
Weight $2$
Character 70.17
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 17.2
Root \(1.45333 - 1.51725i\) of defining polynomial
Character \(\chi\) \(=\) 70.17
Dual form 70.2.k.a.33.2

$q$-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 \(\left(\mathbb{Z}/70\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(57\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{1}{4}\right)\)

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 0.0840425 0.996462i \(-0.473217\pi\)
0.571014 + 0.820940i \(0.306550\pi\)
\(4\) −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 −0.916586 0.399839i \(-0.869066\pi\)
0.804563 + 0.593867i \(0.202399\pi\)
\(12\) −1.13459 0.304013i −0.327528 0.0877609i
\(13\) −2.05532 2.05532i −0.570044 0.570044i 0.362097 0.932141i \(-0.382061\pi\)
−0.932141 + 0.362097i \(0.882061\pi\)
\(14\) 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 −0.791163 0.611605i \(-0.790524\pi\)
0.379365 0.925247i \(-0.376143\pi\)
\(18\) −0.419359 1.56507i −0.0988439 0.368890i
\(19\) −0.946027 1.63857i −0.217033 0.375913i 0.736866 0.676039i \(-0.236305\pi\)
−0.953900 + 0.300126i \(0.902971\pi\)
\(20\) 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 0.748743 0.662861i \(-0.230658\pi\)
0.317000 + 0.948426i \(0.397325\pi\)
\(24\) 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 \(0.356302\pi\)
−0.436263 + 0.899819i \(0.643698\pi\)
\(30\) −2.60802 + 0.311210i −0.476157 + 0.0568188i
\(31\) 2.96403 + 1.71129i 0.532356 + 0.307356i 0.741975 0.670427i \(-0.233889\pi\)
−0.209619 + 0.977783i \(0.567222\pi\)
\(32\) −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 −0.999183 0.0404183i \(-0.987131\pi\)
0.885527 + 0.464588i \(0.153798\pi\)
\(38\) 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 \(0.0203384\pi\)
−0.997959 + 0.0638515i \(0.979662\pi\)
\(42\) 2.99734 + 0.820989i 0.462499 + 0.126681i
\(43\) 1.59589 1.59589i 0.243371 0.243371i −0.574872 0.818243i \(-0.694948\pi\)
0.818243 + 0.574872i \(0.194948\pi\)
\(44\) 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 0.574852 0.818257i \(-0.305060\pi\)
0.0887076 + 0.996058i \(0.471726\pi\)
\(48\) 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 0.996158 + 0.0875798i \(0.0279133\pi\)
−0.818908 + 0.573925i \(0.805420\pi\)
\(54\) −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 −0.771026 0.636803i \(-0.780256\pi\)
0.937001 + 0.349327i \(0.113590\pi\)
\(60\) 0.374399 2.59970i 0.0483347 0.335620i
\(61\) 5.25989 3.03680i 0.673460 0.388822i −0.123927 0.992291i \(-0.539549\pi\)
0.797386 + 0.603469i \(0.206215\pi\)
\(62\) −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 0.665944 0.746002i \(-0.268029\pi\)
0.949725 + 0.313084i \(0.101362\pi\)
\(68\) −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 −0.721693 0.692213i \(-0.756636\pi\)
−0.278898 + 0.960321i \(0.589969\pi\)
\(74\) −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 −0.143752 0.989614i \(-0.545917\pi\)
0.785155 + 0.619300i \(0.212583\pi\)
\(80\) −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 −0.999905 0.0137887i \(-0.995611\pi\)
−0.0137887 0.999905i \(-0.504389\pi\)
\(84\) −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 0.660726 0.750627i \(-0.270248\pi\)
−0.980425 + 0.196892i \(0.936915\pi\)
\(90\) 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 −0.849363 0.527810i \(-0.823013\pi\)
0.527810 + 0.849363i \(0.323013\pi\)
\(98\) 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 0.897265 0.441493i \(-0.145551\pi\)
0.0662887 + 0.997800i \(0.478884\pi\)
\(102\) 7.44307 1.99437i 0.736974 0.197472i
\(103\) 0.627940 2.34351i 0.0618728 0.230912i −0.928064 0.372420i \(-0.878528\pi\)
0.989937 + 0.141507i \(0.0451949\pi\)
\(104\) −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 0.831739 + 0.555167i \(0.187346\pi\)
−0.997891 + 0.0649189i \(0.979321\pi\)
\(108\) 5.24213 1.40462i 0.504424 0.135160i
\(109\) 7.76000 + 4.48024i 0.743274 + 0.429129i 0.823258 0.567667i \(-0.192154\pi\)
−0.0799848 + 0.996796i \(0.525487\pi\)
\(110\) 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 −0.692481 0.721436i \(-0.743482\pi\)
0.721436 + 0.692481i \(0.243482\pi\)
\(114\) 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 0.00770296 0.999970i \(-0.497548\pi\)
−0.999970 + 0.00770296i \(0.997548\pi\)
\(128\) 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 −0.816899 0.576781i \(-0.804308\pi\)
0.0910579 + 0.995846i \(0.470975\pi\)
\(132\) 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 −0.621606 0.783330i \(-0.713519\pi\)
−0.146661 + 0.989187i \(0.546853\pi\)
\(138\) −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 −0.633288 0.773916i \(-0.718295\pi\)
0.353587 + 0.935402i \(0.384962\pi\)
\(150\) −1.38197 5.70817i −0.112837 0.466070i
\(151\) 9.97267 17.2732i 0.811564 1.40567i −0.100205 0.994967i \(-0.531950\pi\)
0.911769 0.410703i \(-0.134717\pi\)
\(152\) −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 −0.999176 0.0405972i \(-0.987074\pi\)
0.845013 0.534746i \(-0.179593\pi\)
\(158\) 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 −0.232693 0.972550i \(-0.574754\pi\)
−0.687793 + 0.725907i \(0.741420\pi\)
\(164\) 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 −0.761181 0.648540i \(-0.775380\pi\)
0.648540 + 0.761181i \(0.275380\pi\)
\(168\) −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 −0.809474 0.587155i \(-0.800248\pi\)
0.994603 0.103754i \(-0.0330856\pi\)
\(174\) −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 0.347326 0.937744i \(-0.387090\pi\)
−0.638447 + 0.769665i \(0.720423\pi\)
\(180\) 0.429287 + 3.59753i 0.0319971 + 0.268144i
\(181\) 17.8850i 1.32938i 0.747118 + 0.664691i \(0.231437\pi\)
−0.747118 + 0.664691i \(0.768563\pi\)
\(182\) −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 0.911855 0.410512i \(-0.134650\pi\)
−0.811442 + 0.584433i \(0.801317\pi\)
\(192\) −0.304013 1.13459i −0.0219402 0.0818821i
\(193\) −1.33034 4.96491i −0.0957602 0.357382i 0.901373 0.433043i \(-0.142560\pi\)
−0.997134 + 0.0756607i \(0.975893\pi\)
\(194\) −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 0.753244 0.657742i \(-0.228488\pi\)
−0.657742 + 0.753244i \(0.728488\pi\)
\(198\) 1.16296 + 0.311614i 0.0826479 + 0.0221454i
\(199\) 7.25148 12.5599i 0.514043 0.890349i −0.485824 0.874057i \(-0.661480\pi\)
0.999867 0.0162926i \(-0.00518634\pi\)
\(200\) −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 0.804313 0.594206i \(-0.202534\pi\)
−0.594206 + 0.804313i \(0.702534\pi\)
\(224\) −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 0.971449 0.237250i \(-0.0762460\pi\)
−0.959924 + 0.280260i \(0.909579\pi\)
\(228\) 0.575209 + 2.14671i 0.0380941 + 0.142169i
\(229\) 6.60166 + 11.4344i 0.436250 + 0.755608i 0.997397 0.0721088i \(-0.0229729\pi\)
−0.561146 + 0.827717i \(0.689640\pi\)
\(230\) −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 0.522158 0.852849i \(-0.325127\pi\)
0.0257782 + 0.999668i \(0.491794\pi\)
\(234\) −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 \(0.0413258\pi\)
−0.991584 + 0.129464i \(0.958674\pi\)
\(240\) −1.62409 + 2.06420i −0.104834 + 0.133244i
\(241\) −15.0040 8.66256i −0.966493 0.558005i −0.0683274 0.997663i \(-0.521766\pi\)
−0.898165 + 0.439658i \(0.855100\pi\)
\(242\) −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 \(-0.944473\pi\)
0.984824 0.173559i \(-0.0555267\pi\)
\(252\) 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 0.719251 0.694750i \(-0.244485\pi\)
0.275515 + 0.961297i \(0.411152\pi\)
\(258\) 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 −0.998890 0.0470956i \(-0.985003\pi\)
0.841517 0.540231i \(-0.181663\pi\)
\(264\) 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 −0.696552 0.717506i \(-0.745283\pi\)
0.969655 + 0.244478i \(0.0786167\pi\)
\(270\) 9.71647 7.27012i 0.591325 0.442445i
\(271\) −19.7889 + 11.4251i −1.20209 + 0.694027i −0.961020 0.276480i \(-0.910832\pi\)
−0.241071 + 0.970507i \(0.577499\pi\)
\(272\) 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 −0.822228 0.569158i \(-0.807269\pi\)
−0.427491 + 0.904019i \(0.640603\pi\)
\(278\) −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 −0.341911 0.939732i \(-0.611074\pi\)
0.173762 + 0.984788i \(0.444408\pi\)
\(284\) 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 0.317909 0.948121i \(-0.397019\pi\)
−0.948121 + 0.317909i \(0.897019\pi\)
\(294\) 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 −0.482531 0.875879i \(-0.660282\pi\)
0.875879 + 0.482531i \(0.160282\pi\)
\(308\) −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 0.496903 0.867806i \(-0.334471\pi\)
−0.503091 + 0.864233i \(0.667804\pi\)
\(312\) −3.29788 + 0.883663i −0.186706 + 0.0500276i
\(313\) −3.02662 + 11.2955i −0.171075 + 0.638459i 0.826112 + 0.563505i \(0.190548\pi\)
−0.997187 + 0.0749536i \(0.976119\pi\)
\(314\) 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 0.839595 + 0.543212i \(0.182792\pi\)
−0.998717 + 0.0506382i \(0.983874\pi\)
\(318\) −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 0.931251 0.364378i \(-0.118718\pi\)
−0.781186 + 0.624298i \(0.785385\pi\)
\(332\) 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 0.992359 + 0.123385i \(0.0393751\pi\)
0.123385 + 0.992359i \(0.460625\pi\)
\(338\) 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 0.347223 0.937783i \(-0.387125\pi\)
0.769595 + 0.638532i \(0.220458\pi\)
\(348\) 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 −0.241051 0.970512i \(-0.577492\pi\)
0.276500 + 0.961014i \(0.410826\pi\)
\(354\) 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 0.0988582 0.995102i \(-0.468481\pi\)
0.911212 + 0.411937i \(0.135148\pi\)
\(360\) −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 0.995415 + 0.0956487i \(0.0304926\pi\)
−0.814230 + 0.580542i \(0.802841\pi\)
\(368\) 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 0.612864 0.790188i \(-0.290017\pi\)
0.135662 + 0.990755i \(0.456684\pi\)
\(374\) −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 \(0.0140483\pi\)
−0.999026 + 0.0441198i \(0.985952\pi\)
\(380\) −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 0.861654 + 0.507497i \(0.169429\pi\)
−0.999962 + 0.00867837i \(0.997238\pi\)
\(384\) 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 0.894933 0.446201i \(-0.147223\pi\)
0.0610449 + 0.998135i \(0.480557\pi\)
\(390\) 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 −0.611510 0.791237i \(-0.709438\pi\)
−0.925202 + 0.379476i \(0.876104\pi\)
\(398\) 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 0.637213 0.770687i \(-0.280087\pi\)
−0.986042 + 0.166499i \(0.946754\pi\)
\(402\) 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 −0.999123 0.0418748i \(-0.986667\pi\)
0.535826 + 0.844328i \(0.320000\pi\)
\(410\) 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 −0.980406 0.196989i \(-0.936884\pi\)
0.660800 + 0.750562i \(0.270217\pi\)
\(432\) −5.24213 1.40462i −0.252212 0.0675800i
\(433\) 12.0535 + 12.0535i 0.579252 + 0.579252i 0.934697 0.355445i \(-0.115671\pi\)
−0.355445 + 0.934697i \(0.615671\pi\)
\(434\) 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 0.892913 + 0.450228i \(0.148657\pi\)
−0.0565475 + 0.998400i \(0.518009\pi\)
\(440\) −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 0.260266 0.965537i \(-0.416190\pi\)
−0.257372 + 0.966313i \(0.582856\pi\)
\(444\) 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 \(-0.803599\pi\)
0.815611 0.578601i \(-0.196401\pi\)
\(450\) 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 −0.731339 0.682015i \(-0.761104\pi\)
0.974365 0.224973i \(-0.0722293\pi\)
\(458\) −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 \(0.0877912\pi\)
−0.962207 + 0.272321i \(0.912209\pi\)
\(462\) −1.64194 + 1.62382i −0.0763900 + 0.0755468i
\(463\) 2.77226 2.77226i 0.128838 0.128838i −0.639747 0.768585i \(-0.720961\pi\)
0.768585 + 0.639747i \(0.220961\pi\)
\(464\) −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 −0.241081 0.970505i \(-0.577502\pi\)
−0.694035 + 0.719942i \(0.744169\pi\)
\(468\) −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 0.443145 + 0.896450i \(0.353863\pi\)
−0.997921 + 0.0644496i \(0.979471\pi\)
\(480\) −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 −0.314323 0.949316i \(-0.601777\pi\)
0.202446 + 0.979293i \(0.435111\pi\)
\(488\) 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 −0.952841 0.303469i \(-0.901855\pi\)
−0.213608 + 0.976919i \(0.568522\pi\)
\(500\) −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 −0.994349 0.106161i \(-0.966144\pi\)
−0.106161 0.994349i \(-0.533856\pi\)
\(504\) 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 0.970369 0.241629i \(-0.0776817\pi\)
−0.694441 + 0.719549i \(0.744348\pi\)
\(510\) 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 0.986904 0.161308i \(-0.0515711\pi\)
0.353756 + 0.935338i \(0.384904\pi\)
\(522\) 15.1676 4.06416i 0.663869 0.177883i
\(523\) −4.25513 + 15.8804i −0.186064 + 0.694400i 0.808336 + 0.588721i \(0.200368\pi\)
−0.994400 + 0.105679i \(0.966298\pi\)
\(524\) 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 0.996568 + 0.0827763i \(0.0263787\pi\)
−0.426598 + 0.904441i \(0.640288\pi\)
\(542\) −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 0.683773 0.729695i \(-0.260338\pi\)
−0.729695 + 0.683773i \(0.760338\pi\)
\(548\) 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 −0.562475 0.826814i \(-0.690151\pi\)
−0.0737108 + 0.997280i \(0.523484\pi\)
\(558\) 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 −0.769789 0.638298i \(-0.779639\pi\)
−0.347508 + 0.937677i \(0.612972\pi\)
\(564\) −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 −0.372293 0.928115i \(-0.621428\pi\)
0.617625 + 0.786473i \(0.288095\pi\)
\(570\) 2.97719 + 3.97900i 0.124701 + 0.166662i
\(571\) −5.87721 + 10.1796i −0.245953 + 0.426004i −0.962399 0.271639i \(-0.912434\pi\)
0.716446 + 0.697643i \(0.245768\pi\)
\(572\) −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 0.977012 0.213184i \(-0.0683835\pi\)
−0.952709 + 0.303883i \(0.901717\pi\)
\(578\) −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 −0.920527 0.390680i \(-0.872240\pi\)
0.390680 + 0.920527i \(0.372240\pi\)
\(588\) 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 −0.449535 0.893262i \(-0.648410\pi\)
0.835940 0.548820i \(-0.184923\pi\)
\(594\) 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 −0.291589 0.956544i \(-0.594184\pi\)
−0.974186 + 0.225748i \(0.927517\pi\)
\(600\) −1.65727 + 5.63440i −0.0676576 + 0.230024i
\(601\) 45.6631i 1.86264i −0.364204 0.931319i \(-0.618659\pi\)
0.364204 0.931319i \(-0.381341\pi\)
\(602\) 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 0.235783 0.971806i \(-0.424235\pi\)
−0.281709 + 0.959500i \(0.590901\pi\)
\(608\) 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 −0.999723 0.0235253i \(-0.992511\pi\)
0.854023 0.520235i \(-0.174156\pi\)
\(614\) 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 0.996794 0.0800065i \(-0.0254941\pi\)
−0.0800065 + 0.996794i \(0.525494\pi\)
\(618\) 2.75272 + 0.737588i 0.110731 + 0.0296702i
\(619\) 11.3386 19.6391i 0.455738 0.789361i −0.542992 0.839738i \(-0.682709\pi\)
0.998730 + 0.0503763i \(0.0160421\pi\)
\(620\) 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 −0.857448 0.514571i \(-0.827951\pi\)
0.874355 + 0.485286i \(0.161285\pi\)
\(642\) −7.53423 2.01879i −0.297353 0.0796754i
\(643\) 16.4254 + 16.4254i 0.647754 + 0.647754i 0.952450 0.304696i \(-0.0985548\pi\)
−0.304696 + 0.952450i \(0.598555\pi\)
\(644\) −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 −0.589779 0.807564i \(-0.700785\pi\)
0.106982 0.994261i \(-0.465881\pi\)
\(648\) 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 −0.274560 0.961570i \(-0.588532\pi\)
−0.718561 + 0.695464i \(0.755199\pi\)
\(654\) −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 \(0.170723\pi\)
−0.859583 + 0.510996i \(0.829277\pi\)
\(660\) 1.53385 + 1.20681i 0.0597051 + 0.0469752i
\(661\) −12.6197 7.28597i −0.490848 0.283391i 0.234078 0.972218i \(-0.424793\pi\)
−0.724926 + 0.688827i \(0.758126\pi\)
\(662\) −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 −0.948807 0.315857i \(-0.897708\pi\)
0.315857 + 0.948807i \(0.397708\pi\)
\(674\) −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 −0.189796 0.981824i \(-0.560783\pi\)
−0.655280 + 0.755386i \(0.727449\pi\)
\(678\) 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 0.934275 + 0.356554i \(0.116048\pi\)
−0.630829 + 0.775922i \(0.717285\pi\)
\(684\) −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 0.130839 0.991404i \(-0.458233\pi\)
0.924000 + 0.382392i \(0.124900\pi\)
\(692\) −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 0.00119522 0.999999i \(-0.499620\pi\)
0.866622 + 0.498965i \(0.166286\pi\)
\(710\) 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 0.993364 + 0.115015i \(0.0366917\pi\)
−0.397076 + 0.917786i \(0.629975\pi\)
\(720\) 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 −0.982412 0.186729i \(-0.940211\pi\)
0.186729 + 0.982412i \(0.440211\pi\)
\(728\) −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 −0.999817 0.0191085i \(-0.993917\pi\)
0.875422 + 0.483360i \(0.160584\pi\)
\(734\) −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 0.556311 0.830974i \(-0.312216\pi\)
−0.441490 + 0.897266i \(0.645550\pi\)
\(740\) 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 0.152977 0.988230i \(-0.451114\pi\)
0.988230 0.152977i \(-0.0488859\pi\)
\(744\) 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 0.781576 + 0.623810i \(0.214416\pi\)
0.149447 + 0.988770i \(0.452251\pi\)
\(752\) 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 0.999685 0.0251083i \(-0.00799305\pi\)
−0.0251083 + 0.999685i \(0.507993\pi\)
\(758\) −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 −0.889326 0.457273i \(-0.848826\pi\)
−0.0486532 + 0.998816i \(0.515493\pi\)
\(762\) 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
\(772\) −1.33034 + 4.9649