Properties

Label 930.2.br.a.761.1
Level $930$
Weight $2$
Character 930.761
Analytic conductor $7.426$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.br (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 761.1
Character \(\chi\) \(=\) 930.761
Dual form 930.2.br.a.11.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.951057 - 0.309017i) q^{2} +(-1.68681 - 0.393302i) q^{3} +(0.809017 + 0.587785i) q^{4} +(0.866025 + 0.500000i) q^{5} +(1.48271 + 0.895304i) q^{6} +(0.503857 - 4.79388i) q^{7} +(-0.587785 - 0.809017i) q^{8} +(2.69063 + 1.32685i) q^{9} +O(q^{10})\) \(q+(-0.951057 - 0.309017i) q^{2} +(-1.68681 - 0.393302i) q^{3} +(0.809017 + 0.587785i) q^{4} +(0.866025 + 0.500000i) q^{5} +(1.48271 + 0.895304i) q^{6} +(0.503857 - 4.79388i) q^{7} +(-0.587785 - 0.809017i) q^{8} +(2.69063 + 1.32685i) q^{9} +(-0.669131 - 0.743145i) q^{10} +(3.34625 - 1.48985i) q^{11} +(-1.13348 - 1.30967i) q^{12} +(0.191369 - 0.900318i) q^{13} +(-1.96059 + 4.40355i) q^{14} +(-1.26417 - 1.18401i) q^{15} +(0.309017 + 0.951057i) q^{16} +(3.22729 + 1.43688i) q^{17} +(-2.14892 - 2.09336i) q^{18} +(-2.91014 + 0.618569i) q^{19} +(0.406737 + 0.913545i) q^{20} +(-2.73535 + 7.88818i) q^{21} +(-3.64286 + 0.382880i) q^{22} +(-0.0893379 + 0.0649078i) q^{23} +(0.673291 + 1.59583i) q^{24} +(0.500000 + 0.866025i) q^{25} +(-0.460216 + 0.797118i) q^{26} +(-4.01671 - 3.29636i) q^{27} +(3.22540 - 3.58217i) q^{28} +(-1.02341 + 3.14975i) q^{29} +(0.836413 + 1.51671i) q^{30} +(4.68773 + 3.00420i) q^{31} -1.00000i q^{32} +(-6.23044 + 1.19700i) q^{33} +(-2.62532 - 2.36385i) q^{34} +(2.83329 - 3.89970i) q^{35} +(1.39686 + 2.65495i) q^{36} +(-0.546407 + 0.315469i) q^{37} +(2.95885 + 0.310988i) q^{38} +(-0.676899 + 1.44340i) q^{39} +(-0.104528 - 0.994522i) q^{40} +(7.90791 - 7.12032i) q^{41} +(5.03906 - 6.65684i) q^{42} +(-2.30910 - 10.8635i) q^{43} +(3.58288 + 0.761566i) q^{44} +(1.66673 + 2.49440i) q^{45} +(0.105023 - 0.0341240i) q^{46} +(1.38892 - 0.451286i) q^{47} +(-0.147199 - 1.72578i) q^{48} +(-15.8804 - 3.37549i) q^{49} +(-0.207912 - 0.978148i) q^{50} +(-4.87869 - 3.69304i) q^{51} +(0.684014 - 0.615889i) q^{52} +(0.987013 + 9.39081i) q^{53} +(2.80149 + 4.37626i) q^{54} +(3.64286 + 0.382880i) q^{55} +(-4.17449 + 2.41014i) q^{56} +(5.15212 + 0.101158i) q^{57} +(1.94665 - 2.67933i) q^{58} +(0.439186 + 0.395444i) q^{59} +(-0.326786 - 1.70094i) q^{60} -6.64933i q^{61} +(-3.52995 - 4.30575i) q^{62} +(7.71645 - 12.2300i) q^{63} +(-0.309017 + 0.951057i) q^{64} +(0.615889 - 0.684014i) q^{65} +(6.29539 + 0.786900i) q^{66} +(6.53705 - 11.3225i) q^{67} +(1.76636 + 3.05942i) q^{68} +(0.176224 - 0.0743500i) q^{69} +(-3.89970 + 2.83329i) q^{70} +(-11.4080 + 1.19903i) q^{71} +(-0.508068 - 2.95666i) q^{72} +(-0.190059 - 0.426879i) q^{73} +(0.617150 - 0.131179i) q^{74} +(-0.502793 - 1.65747i) q^{75} +(-2.71794 - 1.21010i) q^{76} +(-5.45612 - 16.7922i) q^{77} +(1.08980 - 1.16358i) q^{78} +(1.63235 - 3.66631i) q^{79} +(-0.207912 + 0.978148i) q^{80} +(5.47895 + 7.14011i) q^{81} +(-9.72117 + 4.32814i) q^{82} +(-6.02984 - 6.69682i) q^{83} +(-6.84950 + 4.77387i) q^{84} +(2.07648 + 2.85802i) q^{85} +(-1.16091 + 11.0453i) q^{86} +(2.96510 - 4.91050i) q^{87} +(-3.17219 - 1.83146i) q^{88} +(8.73850 + 6.34889i) q^{89} +(-0.814340 - 2.88736i) q^{90} +(-4.21960 - 1.37103i) q^{91} -0.110428 q^{92} +(-6.72573 - 6.91119i) q^{93} -1.46039 q^{94} +(-2.82954 - 0.919372i) q^{95} +(-0.393302 + 1.68681i) q^{96} +(-9.20631 - 6.68877i) q^{97} +(14.0601 + 8.11759i) q^{98} +(10.9803 + 0.431345i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} + O(q^{10}) \) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} - 22q^{10} - 38q^{13} - 44q^{16} + 12q^{18} + 8q^{19} - 18q^{21} - 4q^{22} + 88q^{25} - 90q^{27} + 36q^{28} + 24q^{31} + 18q^{33} + 14q^{34} + 4q^{36} - 42q^{37} - 42q^{39} + 22q^{40} - 12q^{42} - 34q^{43} - 8q^{45} + 10q^{46} + 22q^{49} + 26q^{51} - 2q^{52} + 4q^{55} + 114q^{57} + 32q^{63} + 44q^{64} - 42q^{66} + 20q^{67} + 16q^{69} + 8q^{70} - 12q^{72} - 28q^{73} + 12q^{76} - 92q^{78} - 56q^{79} - 124q^{81} - 32q^{82} - 12q^{84} - 36q^{87} - 6q^{88} + 24q^{90} - 140q^{91} - 104q^{93} - 36q^{94} + 88q^{97} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{7}{30}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.951057 0.309017i −0.672499 0.218508i
\(3\) −1.68681 0.393302i −0.973878 0.227073i
\(4\) 0.809017 + 0.587785i 0.404508 + 0.293893i
\(5\) 0.866025 + 0.500000i 0.387298 + 0.223607i
\(6\) 1.48271 + 0.895304i 0.605314 + 0.365506i
\(7\) 0.503857 4.79388i 0.190440 1.81192i −0.315039 0.949079i \(-0.602018\pi\)
0.505479 0.862839i \(-0.331316\pi\)
\(8\) −0.587785 0.809017i −0.207813 0.286031i
\(9\) 2.69063 + 1.32685i 0.896876 + 0.442283i
\(10\) −0.669131 0.743145i −0.211598 0.235003i
\(11\) 3.34625 1.48985i 1.00893 0.449206i 0.165367 0.986232i \(-0.447119\pi\)
0.843566 + 0.537026i \(0.180452\pi\)
\(12\) −1.13348 1.30967i −0.327207 0.378068i
\(13\) 0.191369 0.900318i 0.0530761 0.249703i −0.943609 0.331063i \(-0.892593\pi\)
0.996685 + 0.0813594i \(0.0259261\pi\)
\(14\) −1.96059 + 4.40355i −0.523989 + 1.17690i
\(15\) −1.26417 1.18401i −0.326406 0.305711i
\(16\) 0.309017 + 0.951057i 0.0772542 + 0.237764i
\(17\) 3.22729 + 1.43688i 0.782733 + 0.348495i 0.758889 0.651220i \(-0.225743\pi\)
0.0238447 + 0.999716i \(0.492409\pi\)
\(18\) −2.14892 2.09336i −0.506505 0.493409i
\(19\) −2.91014 + 0.618569i −0.667631 + 0.141909i −0.529245 0.848469i \(-0.677525\pi\)
−0.138386 + 0.990378i \(0.544192\pi\)
\(20\) 0.406737 + 0.913545i 0.0909491 + 0.204275i
\(21\) −2.73535 + 7.88818i −0.596903 + 1.72134i
\(22\) −3.64286 + 0.382880i −0.776661 + 0.0816303i
\(23\) −0.0893379 + 0.0649078i −0.0186282 + 0.0135342i −0.597060 0.802196i \(-0.703665\pi\)
0.578432 + 0.815730i \(0.303665\pi\)
\(24\) 0.673291 + 1.59583i 0.137435 + 0.325748i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) −0.460216 + 0.797118i −0.0902558 + 0.156328i
\(27\) −4.01671 3.29636i −0.773017 0.634386i
\(28\) 3.22540 3.58217i 0.609544 0.676967i
\(29\) −1.02341 + 3.14975i −0.190043 + 0.584893i −0.999999 0.00159839i \(-0.999491\pi\)
0.809955 + 0.586491i \(0.199491\pi\)
\(30\) 0.836413 + 1.51671i 0.152707 + 0.276912i
\(31\) 4.68773 + 3.00420i 0.841941 + 0.539570i
\(32\) 1.00000i 0.176777i
\(33\) −6.23044 + 1.19700i −1.08458 + 0.208370i
\(34\) −2.62532 2.36385i −0.450238 0.405396i
\(35\) 2.83329 3.89970i 0.478914 0.659169i
\(36\) 1.39686 + 2.65495i 0.232810 + 0.442492i
\(37\) −0.546407 + 0.315469i −0.0898288 + 0.0518627i −0.544242 0.838929i \(-0.683182\pi\)
0.454413 + 0.890791i \(0.349849\pi\)
\(38\) 2.95885 + 0.310988i 0.479989 + 0.0504489i
\(39\) −0.676899 + 1.44340i −0.108391 + 0.231128i
\(40\) −0.104528 0.994522i −0.0165274 0.157248i
\(41\) 7.90791 7.12032i 1.23501 1.11201i 0.245220 0.969468i \(-0.421140\pi\)
0.989789 0.142539i \(-0.0455267\pi\)
\(42\) 5.03906 6.65684i 0.777544 1.02717i
\(43\) −2.30910 10.8635i −0.352134 1.65666i −0.696299 0.717752i \(-0.745171\pi\)
0.344165 0.938909i \(-0.388162\pi\)
\(44\) 3.58288 + 0.761566i 0.540140 + 0.114810i
\(45\) 1.66673 + 2.49440i 0.248461 + 0.371843i
\(46\) 0.105023 0.0341240i 0.0154848 0.00503132i
\(47\) 1.38892 0.451286i 0.202594 0.0658268i −0.205962 0.978560i \(-0.566032\pi\)
0.408556 + 0.912733i \(0.366032\pi\)
\(48\) −0.147199 1.72578i −0.0212464 0.249096i
\(49\) −15.8804 3.37549i −2.26863 0.482212i
\(50\) −0.207912 0.978148i −0.0294032 0.138331i
\(51\) −4.87869 3.69304i −0.683153 0.517130i
\(52\) 0.684014 0.615889i 0.0948557 0.0854085i
\(53\) 0.987013 + 9.39081i 0.135577 + 1.28993i 0.824820 + 0.565396i \(0.191277\pi\)
−0.689243 + 0.724530i \(0.742057\pi\)
\(54\) 2.80149 + 4.37626i 0.381234 + 0.595534i
\(55\) 3.64286 + 0.382880i 0.491203 + 0.0516276i
\(56\) −4.17449 + 2.41014i −0.557840 + 0.322069i
\(57\) 5.15212 + 0.101158i 0.682415 + 0.0133986i
\(58\) 1.94665 2.67933i 0.255608 0.351814i
\(59\) 0.439186 + 0.395444i 0.0571771 + 0.0514825i 0.697224 0.716853i \(-0.254418\pi\)
−0.640047 + 0.768336i \(0.721085\pi\)
\(60\) −0.326786 1.70094i −0.0421879 0.219591i
\(61\) 6.64933i 0.851360i −0.904874 0.425680i \(-0.860035\pi\)
0.904874 0.425680i \(-0.139965\pi\)
\(62\) −3.52995 4.30575i −0.448304 0.546831i
\(63\) 7.71645 12.2300i 0.972181 1.54084i
\(64\) −0.309017 + 0.951057i −0.0386271 + 0.118882i
\(65\) 0.615889 0.684014i 0.0763917 0.0848415i
\(66\) 6.29539 + 0.786900i 0.774909 + 0.0968608i
\(67\) 6.53705 11.3225i 0.798627 1.38326i −0.121883 0.992544i \(-0.538893\pi\)
0.920510 0.390719i \(-0.127773\pi\)
\(68\) 1.76636 + 3.05942i 0.214202 + 0.371009i
\(69\) 0.176224 0.0743500i 0.0212149 0.00895069i
\(70\) −3.89970 + 2.83329i −0.466103 + 0.338644i
\(71\) −11.4080 + 1.19903i −1.35388 + 0.142298i −0.753515 0.657431i \(-0.771643\pi\)
−0.600361 + 0.799729i \(0.704977\pi\)
\(72\) −0.508068 2.95666i −0.0598764 0.348446i
\(73\) −0.190059 0.426879i −0.0222447 0.0499623i 0.902081 0.431566i \(-0.142039\pi\)
−0.924326 + 0.381603i \(0.875372\pi\)
\(74\) 0.617150 0.131179i 0.0717422 0.0152493i
\(75\) −0.502793 1.65747i −0.0580576 0.191388i
\(76\) −2.71794 1.21010i −0.311769 0.138808i
\(77\) −5.45612 16.7922i −0.621782 1.91365i
\(78\) 1.08980 1.16358i 0.123396 0.131749i
\(79\) 1.63235 3.66631i 0.183654 0.412493i −0.798133 0.602482i \(-0.794179\pi\)
0.981786 + 0.189989i \(0.0608453\pi\)
\(80\) −0.207912 + 0.978148i −0.0232452 + 0.109360i
\(81\) 5.47895 + 7.14011i 0.608772 + 0.793345i
\(82\) −9.72117 + 4.32814i −1.07352 + 0.477964i
\(83\) −6.02984 6.69682i −0.661861 0.735071i 0.314966 0.949103i \(-0.398007\pi\)
−0.976827 + 0.214032i \(0.931340\pi\)
\(84\) −6.84950 + 4.77387i −0.747342 + 0.520872i
\(85\) 2.07648 + 2.85802i 0.225225 + 0.309996i
\(86\) −1.16091 + 11.0453i −0.125184 + 1.19105i
\(87\) 2.96510 4.91050i 0.317892 0.526461i
\(88\) −3.17219 1.83146i −0.338156 0.195235i
\(89\) 8.73850 + 6.34889i 0.926279 + 0.672981i 0.945079 0.326842i \(-0.105985\pi\)
−0.0188001 + 0.999823i \(0.505985\pi\)
\(90\) −0.814340 2.88736i −0.0858390 0.304355i
\(91\) −4.21960 1.37103i −0.442334 0.143723i
\(92\) −0.110428 −0.0115129
\(93\) −6.72573 6.91119i −0.697426 0.716657i
\(94\) −1.46039 −0.150628
\(95\) −2.82954 0.919372i −0.290304 0.0943256i
\(96\) −0.393302 + 1.68681i −0.0401412 + 0.172159i
\(97\) −9.20631 6.68877i −0.934759 0.679142i 0.0123944 0.999923i \(-0.496055\pi\)
−0.947153 + 0.320781i \(0.896055\pi\)
\(98\) 14.0601 + 8.11759i 1.42028 + 0.820001i
\(99\) 10.9803 + 0.431345i 1.10356 + 0.0433518i
\(100\) −0.104528 + 0.994522i −0.0104528 + 0.0994522i
\(101\) −7.41830 10.2104i −0.738148 1.01597i −0.998723 0.0505205i \(-0.983912\pi\)
0.260575 0.965454i \(-0.416088\pi\)
\(102\) 3.49869 + 5.01989i 0.346422 + 0.497043i
\(103\) 5.08105 + 5.64307i 0.500650 + 0.556029i 0.939508 0.342528i \(-0.111283\pi\)
−0.438857 + 0.898557i \(0.644617\pi\)
\(104\) −0.840857 + 0.374373i −0.0824528 + 0.0367103i
\(105\) −6.31298 + 5.46369i −0.616083 + 0.533201i
\(106\) 1.96321 9.23619i 0.190684 0.897098i
\(107\) 0.222657 0.500095i 0.0215250 0.0483460i −0.902463 0.430767i \(-0.858243\pi\)
0.923988 + 0.382421i \(0.124910\pi\)
\(108\) −1.31203 5.02778i −0.126251 0.483798i
\(109\) −4.67185 14.3785i −0.447482 1.37721i −0.879738 0.475458i \(-0.842282\pi\)
0.432256 0.901751i \(-0.357718\pi\)
\(110\) −3.34625 1.48985i −0.319053 0.142051i
\(111\) 1.04576 0.317231i 0.0992589 0.0301102i
\(112\) 4.71495 1.00219i 0.445521 0.0946985i
\(113\) 1.43471 + 3.22240i 0.134966 + 0.303138i 0.968367 0.249530i \(-0.0802763\pi\)
−0.833401 + 0.552668i \(0.813610\pi\)
\(114\) −4.86870 1.68830i −0.455995 0.158124i
\(115\) −0.109823 + 0.0115428i −0.0102410 + 0.00107638i
\(116\) −2.67933 + 1.94665i −0.248770 + 0.180742i
\(117\) 1.70949 2.16850i 0.158042 0.200478i
\(118\) −0.295491 0.511806i −0.0272022 0.0471155i
\(119\) 8.51435 14.7473i 0.780509 1.35188i
\(120\) −0.214828 + 1.71868i −0.0196110 + 0.156893i
\(121\) 1.61732 1.79621i 0.147029 0.163292i
\(122\) −2.05476 + 6.32389i −0.186029 + 0.572538i
\(123\) −16.1395 + 8.90039i −1.45525 + 0.802521i
\(124\) 2.02663 + 5.18582i 0.181997 + 0.465701i
\(125\) 1.00000i 0.0894427i
\(126\) −11.1181 + 9.24692i −0.990475 + 0.823781i
\(127\) 9.89521 + 8.90969i 0.878058 + 0.790607i 0.978909 0.204295i \(-0.0654901\pi\)
−0.100852 + 0.994901i \(0.532157\pi\)
\(128\) 0.587785 0.809017i 0.0519534 0.0715077i
\(129\) −0.377618 + 19.2327i −0.0332474 + 1.69335i
\(130\) −0.797118 + 0.460216i −0.0699118 + 0.0403636i
\(131\) −12.9552 1.36164i −1.13190 0.118967i −0.479996 0.877271i \(-0.659362\pi\)
−0.651902 + 0.758303i \(0.726029\pi\)
\(132\) −5.74410 2.69377i −0.499960 0.234462i
\(133\) 1.49905 + 14.2625i 0.129984 + 1.23672i
\(134\) −9.71594 + 8.74827i −0.839330 + 0.755736i
\(135\) −1.83039 4.86309i −0.157535 0.418548i
\(136\) −0.734492 3.45551i −0.0629822 0.296308i
\(137\) −10.7053 2.27549i −0.914619 0.194408i −0.273520 0.961866i \(-0.588188\pi\)
−0.641099 + 0.767458i \(0.721521\pi\)
\(138\) −0.190574 + 0.0162549i −0.0162228 + 0.00138371i
\(139\) 0.690568 0.224379i 0.0585732 0.0190316i −0.279584 0.960121i \(-0.590196\pi\)
0.338157 + 0.941090i \(0.390196\pi\)
\(140\) 4.58437 1.48955i 0.387450 0.125890i
\(141\) −2.52032 + 0.214968i −0.212249 + 0.0181036i
\(142\) 11.2201 + 2.38491i 0.941573 + 0.200138i
\(143\) −0.700969 3.29780i −0.0586180 0.275776i
\(144\) −0.430458 + 2.96896i −0.0358715 + 0.247413i
\(145\) −2.46118 + 2.21605i −0.204389 + 0.184033i
\(146\) 0.0488437 + 0.464717i 0.00404233 + 0.0384602i
\(147\) 25.4596 + 11.9396i 2.09987 + 0.984761i
\(148\) −0.627481 0.0659509i −0.0515786 0.00542113i
\(149\) −2.56654 + 1.48179i −0.210259 + 0.121393i −0.601432 0.798924i \(-0.705403\pi\)
0.391173 + 0.920317i \(0.372069\pi\)
\(150\) −0.0340008 + 1.73172i −0.00277615 + 0.141394i
\(151\) 11.8143 16.2610i 0.961432 1.32330i 0.0151738 0.999885i \(-0.495170\pi\)
0.946258 0.323413i \(-0.104830\pi\)
\(152\) 2.21097 + 1.99077i 0.179333 + 0.161472i
\(153\) 6.77691 + 8.14824i 0.547881 + 0.658747i
\(154\) 17.6564i 1.42279i
\(155\) 2.55759 + 4.94558i 0.205431 + 0.397238i
\(156\) −1.39603 + 0.769861i −0.111772 + 0.0616382i
\(157\) 1.69582 5.21921i 0.135341 0.416538i −0.860301 0.509786i \(-0.829725\pi\)
0.995643 + 0.0932473i \(0.0297247\pi\)
\(158\) −2.68541 + 2.98245i −0.213640 + 0.237271i
\(159\) 2.02852 16.2287i 0.160872 1.28702i
\(160\) 0.500000 0.866025i 0.0395285 0.0684653i
\(161\) 0.266147 + 0.460980i 0.0209753 + 0.0363303i
\(162\) −3.00437 8.48373i −0.236046 0.666545i
\(163\) −9.31065 + 6.76459i −0.729267 + 0.529843i −0.889331 0.457263i \(-0.848830\pi\)
0.160065 + 0.987107i \(0.448830\pi\)
\(164\) 10.5829 1.11230i 0.826382 0.0868563i
\(165\) −5.99421 2.07859i −0.466649 0.161818i
\(166\) 3.66529 + 8.23237i 0.284482 + 0.638956i
\(167\) 11.4949 2.44333i 0.889506 0.189070i 0.259576 0.965723i \(-0.416417\pi\)
0.629929 + 0.776652i \(0.283084\pi\)
\(168\) 7.98947 2.42361i 0.616401 0.186986i
\(169\) 11.1021 + 4.94299i 0.854011 + 0.380230i
\(170\) −1.09167 3.35981i −0.0837271 0.257686i
\(171\) −8.65084 2.19697i −0.661546 0.168007i
\(172\) 4.51728 10.1460i 0.344439 0.773623i
\(173\) −0.225873 + 1.06265i −0.0171728 + 0.0807918i −0.985900 0.167338i \(-0.946483\pi\)
0.968727 + 0.248130i \(0.0798161\pi\)
\(174\) −4.33741 + 3.75389i −0.328818 + 0.284582i
\(175\) 4.40355 1.96059i 0.332877 0.148207i
\(176\) 2.45098 + 2.72209i 0.184749 + 0.205185i
\(177\) −0.585292 0.839770i −0.0439932 0.0631210i
\(178\) −6.34889 8.73850i −0.475869 0.654978i
\(179\) −2.39628 + 22.7991i −0.179107 + 1.70409i 0.423377 + 0.905954i \(0.360845\pi\)
−0.602483 + 0.798132i \(0.705822\pi\)
\(180\) −0.117760 + 2.99769i −0.00877728 + 0.223434i
\(181\) 16.5857 + 9.57574i 1.23280 + 0.711759i 0.967613 0.252437i \(-0.0812322\pi\)
0.265189 + 0.964196i \(0.414566\pi\)
\(182\) 3.58941 + 2.60786i 0.266064 + 0.193307i
\(183\) −2.61520 + 11.2161i −0.193321 + 0.829120i
\(184\) 0.105023 + 0.0341240i 0.00774240 + 0.00251566i
\(185\) −0.630937 −0.0463874
\(186\) 4.26087 + 8.65130i 0.312422 + 0.634344i
\(187\) 12.9401 0.946272
\(188\) 1.38892 + 0.451286i 0.101297 + 0.0329134i
\(189\) −17.8262 + 17.5948i −1.29667 + 1.27983i
\(190\) 2.40695 + 1.74875i 0.174618 + 0.126868i
\(191\) 9.02705 + 5.21177i 0.653174 + 0.377110i 0.789671 0.613530i \(-0.210251\pi\)
−0.136497 + 0.990640i \(0.543584\pi\)
\(192\) 0.895304 1.48271i 0.0646130 0.107005i
\(193\) −2.27402 + 21.6359i −0.163688 + 1.55739i 0.536793 + 0.843714i \(0.319636\pi\)
−0.700480 + 0.713672i \(0.747031\pi\)
\(194\) 6.68877 + 9.20631i 0.480226 + 0.660974i
\(195\) −1.30791 + 0.911569i −0.0936614 + 0.0652788i
\(196\) −10.8635 12.0651i −0.775962 0.861793i
\(197\) −3.66543 + 1.63196i −0.261151 + 0.116272i −0.533136 0.846030i \(-0.678987\pi\)
0.271985 + 0.962302i \(0.412320\pi\)
\(198\) −10.3096 3.80334i −0.732672 0.270291i
\(199\) −0.197733 + 0.930262i −0.0140169 + 0.0659445i −0.984600 0.174821i \(-0.944065\pi\)
0.970583 + 0.240766i \(0.0773986\pi\)
\(200\) 0.406737 0.913545i 0.0287606 0.0645974i
\(201\) −15.4799 + 16.5278i −1.09187 + 1.16578i
\(202\) 3.90003 + 12.0031i 0.274405 + 0.844533i
\(203\) 14.5839 + 6.49315i 1.02359 + 0.455730i
\(204\) −1.77622 5.85536i −0.124361 0.409957i
\(205\) 10.4086 2.21242i 0.726969 0.154522i
\(206\) −3.08856 6.93701i −0.215190 0.483324i
\(207\) −0.326498 + 0.0561048i −0.0226932 + 0.00389955i
\(208\) 0.915390 0.0962114i 0.0634709 0.00667106i
\(209\) −8.81648 + 6.40555i −0.609849 + 0.443081i
\(210\) 7.69237 3.24546i 0.530824 0.223958i
\(211\) 11.9470 + 20.6928i 0.822464 + 1.42455i 0.903842 + 0.427866i \(0.140735\pi\)
−0.0813777 + 0.996683i \(0.525932\pi\)
\(212\) −4.72127 + 8.17747i −0.324258 + 0.561631i
\(213\) 19.7146 + 2.46425i 1.35082 + 0.168848i
\(214\) −0.366297 + 0.406814i −0.0250395 + 0.0278092i
\(215\) 3.43199 10.5626i 0.234060 0.720362i
\(216\) −0.305850 + 5.18714i −0.0208105 + 0.352940i
\(217\) 16.7637 20.9587i 1.13800 1.42277i
\(218\) 15.1184i 1.02395i
\(219\) 0.152700 + 0.794812i 0.0103185 + 0.0537084i
\(220\) 2.72209 + 2.45098i 0.183523 + 0.165245i
\(221\) 1.91125 2.63062i 0.128565 0.176954i
\(222\) −1.09260 0.0214524i −0.0733308 0.00143979i
\(223\) 2.08702 1.20494i 0.139757 0.0806889i −0.428491 0.903546i \(-0.640955\pi\)
0.568248 + 0.822857i \(0.307621\pi\)
\(224\) −4.79388 0.503857i −0.320305 0.0336654i
\(225\) 0.196229 + 2.99358i 0.0130819 + 0.199572i
\(226\) −0.368709 3.50803i −0.0245262 0.233351i
\(227\) 11.1073 10.0011i 0.737217 0.663793i −0.212408 0.977181i \(-0.568131\pi\)
0.949625 + 0.313388i \(0.101464\pi\)
\(228\) 4.10869 + 3.11018i 0.272105 + 0.205977i
\(229\) −4.66998 21.9705i −0.308601 1.45185i −0.809895 0.586575i \(-0.800476\pi\)
0.501294 0.865277i \(-0.332857\pi\)
\(230\) 0.108015 + 0.0229592i 0.00712227 + 0.00151389i
\(231\) 2.59900 + 30.4711i 0.171002 + 2.00485i
\(232\) 3.14975 1.02341i 0.206791 0.0671904i
\(233\) −24.6426 + 8.00688i −1.61439 + 0.524548i −0.970610 0.240660i \(-0.922636\pi\)
−0.643783 + 0.765208i \(0.722636\pi\)
\(234\) −2.29592 + 1.53411i −0.150089 + 0.100288i
\(235\) 1.42848 + 0.303633i 0.0931837 + 0.0198068i
\(236\) 0.122872 + 0.578068i 0.00799830 + 0.0376290i
\(237\) −4.19542 + 5.54235i −0.272522 + 0.360015i
\(238\) −12.6548 + 11.3944i −0.820288 + 0.738591i
\(239\) −1.28988 12.2724i −0.0834352 0.793833i −0.953601 0.301074i \(-0.902655\pi\)
0.870166 0.492759i \(-0.164012\pi\)
\(240\) 0.735414 1.56817i 0.0474708 0.101225i
\(241\) −14.1499 1.48722i −0.911478 0.0958002i −0.362832 0.931855i \(-0.618190\pi\)
−0.548646 + 0.836055i \(0.684857\pi\)
\(242\) −2.09322 + 1.20852i −0.134557 + 0.0776867i
\(243\) −6.43370 14.1989i −0.412722 0.910857i
\(244\) 3.90838 5.37942i 0.250208 0.344382i
\(245\) −12.0651 10.8635i −0.770811 0.694041i
\(246\) 18.1000 3.47738i 1.15401 0.221710i
\(247\) 2.73843i 0.174242i
\(248\) −0.324930 5.55827i −0.0206331 0.352951i
\(249\) 7.53730 + 13.6678i 0.477657 + 0.866160i
\(250\) 0.309017 0.951057i 0.0195440 0.0601501i
\(251\) 0.577351 0.641213i 0.0364420 0.0404730i −0.724648 0.689119i \(-0.757998\pi\)
0.761090 + 0.648646i \(0.224664\pi\)
\(252\) 13.4314 5.35867i 0.846096 0.337565i
\(253\) −0.202244 + 0.350298i −0.0127150 + 0.0220230i
\(254\) −6.65766 11.5314i −0.417739 0.723545i
\(255\) −2.37854 5.63761i −0.148950 0.353041i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) 0.495858 0.0521167i 0.0309308 0.00325095i −0.0890504 0.996027i \(-0.528383\pi\)
0.119981 + 0.992776i \(0.461717\pi\)
\(258\) 6.30237 18.1747i 0.392368 1.13151i
\(259\) 1.23701 + 2.77836i 0.0768639 + 0.172639i
\(260\) 0.900318 0.191369i 0.0558354 0.0118682i
\(261\) −6.93286 + 7.11687i −0.429133 + 0.440523i
\(262\) 11.9003 + 5.29837i 0.735205 + 0.327334i
\(263\) 4.94334 + 15.2140i 0.304819 + 0.938137i 0.979745 + 0.200251i \(0.0641759\pi\)
−0.674925 + 0.737886i \(0.735824\pi\)
\(264\) 4.63055 + 4.33695i 0.284990 + 0.266921i
\(265\) −3.84062 + 8.62618i −0.235928 + 0.529902i
\(266\) 2.98168 14.0277i 0.182819 0.860094i
\(267\) −12.2431 14.1462i −0.749266 0.865734i
\(268\) 11.9438 5.31771i 0.729582 0.324831i
\(269\) −1.22763 1.36342i −0.0748500 0.0831294i 0.704557 0.709648i \(-0.251146\pi\)
−0.779407 + 0.626519i \(0.784479\pi\)
\(270\) 0.238030 + 5.19070i 0.0144860 + 0.315896i
\(271\) 7.90575 + 10.8813i 0.480240 + 0.660994i 0.978551 0.206004i \(-0.0660461\pi\)
−0.498311 + 0.866998i \(0.666046\pi\)
\(272\) −0.369269 + 3.51336i −0.0223902 + 0.213029i
\(273\) 6.57841 + 3.97224i 0.398144 + 0.240411i
\(274\) 9.47822 + 5.47225i 0.572600 + 0.330591i
\(275\) 2.96337 + 2.15302i 0.178698 + 0.129832i
\(276\) 0.186270 + 0.0434314i 0.0112121 + 0.00261427i
\(277\) −21.5830 7.01273i −1.29679 0.421354i −0.422330 0.906442i \(-0.638788\pi\)
−0.874465 + 0.485088i \(0.838788\pi\)
\(278\) −0.726106 −0.0435489
\(279\) 8.62681 + 14.3031i 0.516474 + 0.856303i
\(280\) −4.82029 −0.288067
\(281\) 10.1958 + 3.31281i 0.608230 + 0.197626i 0.596908 0.802310i \(-0.296396\pi\)
0.0113224 + 0.999936i \(0.496396\pi\)
\(282\) 2.46340 + 0.574375i 0.146693 + 0.0342035i
\(283\) −18.8167 13.6711i −1.11854 0.812665i −0.134551 0.990907i \(-0.542959\pi\)
−0.983987 + 0.178242i \(0.942959\pi\)
\(284\) −9.93400 5.73540i −0.589475 0.340333i
\(285\) 4.41129 + 2.66367i 0.261302 + 0.157782i
\(286\) −0.352415 + 3.35301i −0.0208388 + 0.198267i
\(287\) −30.1495 41.4972i −1.77967 2.44950i
\(288\) 1.32685 2.69063i 0.0781853 0.158547i
\(289\) −3.02444 3.35898i −0.177908 0.197587i
\(290\) 3.02551 1.34705i 0.177664 0.0791013i
\(291\) 12.8985 + 14.9035i 0.756126 + 0.873660i
\(292\) 0.0971523 0.457066i 0.00568541 0.0267477i
\(293\) −4.85285 + 10.8997i −0.283506 + 0.636766i −0.998023 0.0628528i \(-0.979980\pi\)
0.714516 + 0.699619i \(0.246647\pi\)
\(294\) −20.5240 19.2227i −1.19698 1.12109i
\(295\) 0.182624 + 0.562058i 0.0106328 + 0.0327243i
\(296\) 0.576390 + 0.256625i 0.0335020 + 0.0149160i
\(297\) −18.3520 5.04618i −1.06489 0.292809i
\(298\) 2.89882 0.616163i 0.167924 0.0356934i
\(299\) 0.0413412 + 0.0928539i 0.00239082 + 0.00536988i
\(300\) 0.567467 1.63645i 0.0327627 0.0944807i
\(301\) −53.2416 + 5.59592i −3.06879 + 0.322543i
\(302\) −16.2610 + 11.8143i −0.935713 + 0.679835i
\(303\) 8.49745 + 20.1406i 0.488166 + 1.15705i
\(304\) −1.48758 2.57656i −0.0853183 0.147776i
\(305\) 3.32467 5.75849i 0.190370 0.329730i
\(306\) −3.92728 9.84362i −0.224508 0.562722i
\(307\) −4.61303 + 5.12329i −0.263280 + 0.292402i −0.860261 0.509853i \(-0.829700\pi\)
0.596982 + 0.802255i \(0.296366\pi\)
\(308\) 5.45612 16.7922i 0.310891 0.956825i
\(309\) −6.35131 11.5172i −0.361313 0.655188i
\(310\) −0.904148 5.49386i −0.0513521 0.312030i
\(311\) 24.4347i 1.38556i −0.721148 0.692782i \(-0.756385\pi\)
0.721148 0.692782i \(-0.243615\pi\)
\(312\) 1.56560 0.300785i 0.0886348 0.0170286i
\(313\) 7.57333 + 6.81905i 0.428070 + 0.385436i 0.854812 0.518938i \(-0.173672\pi\)
−0.426743 + 0.904373i \(0.640339\pi\)
\(314\) −3.22565 + 4.43972i −0.182034 + 0.250548i
\(315\) 12.7976 6.73327i 0.721066 0.379377i
\(316\) 3.47560 2.00664i 0.195518 0.112882i
\(317\) −6.00776 0.631441i −0.337430 0.0354653i −0.0657014 0.997839i \(-0.520928\pi\)
−0.271728 + 0.962374i \(0.587595\pi\)
\(318\) −6.94417 + 14.8075i −0.389410 + 0.830365i
\(319\) 1.26804 + 12.0646i 0.0709965 + 0.675486i
\(320\) −0.743145 + 0.669131i −0.0415431 + 0.0374055i
\(321\) −0.572267 + 0.755992i −0.0319408 + 0.0421953i
\(322\) −0.110670 0.520662i −0.00616740 0.0290153i
\(323\) −10.2807 2.18523i −0.572032 0.121589i
\(324\) 0.235712 + 8.99691i 0.0130951 + 0.499828i
\(325\) 0.875383 0.284429i 0.0485575 0.0157773i
\(326\) 10.9453 3.55635i 0.606206 0.196968i
\(327\) 2.22542 + 26.0912i 0.123066 + 1.44284i
\(328\) −10.4086 2.21242i −0.574720 0.122160i
\(329\) −1.46360 6.88568i −0.0806907 0.379620i
\(330\) 5.05852 + 3.82917i 0.278462 + 0.210789i
\(331\) −1.29056 + 1.16203i −0.0709358 + 0.0638708i −0.703836 0.710363i \(-0.748531\pi\)
0.632900 + 0.774233i \(0.281864\pi\)
\(332\) −0.941953 8.96209i −0.0516964 0.491858i
\(333\) −1.88876 + 0.123808i −0.103503 + 0.00678465i
\(334\) −11.6874 1.22839i −0.639505 0.0672146i
\(335\) 11.3225 6.53705i 0.618614 0.357157i
\(336\) −8.34738 0.163894i −0.455387 0.00894114i
\(337\) 10.1682 13.9953i 0.553898 0.762375i −0.436637 0.899638i \(-0.643830\pi\)
0.990535 + 0.137263i \(0.0438304\pi\)
\(338\) −9.03129 8.13181i −0.491238 0.442312i
\(339\) −1.15269 5.99984i −0.0626057 0.325866i
\(340\) 3.53271i 0.191588i
\(341\) 20.1621 + 3.06881i 1.09184 + 0.166185i
\(342\) 7.54854 + 4.76270i 0.408178 + 0.257537i
\(343\) −13.7563 + 42.3375i −0.742770 + 2.28601i
\(344\) −7.43147 + 8.25348i −0.400678 + 0.444998i
\(345\) 0.189790 + 0.0237230i 0.0102179 + 0.00127720i
\(346\) 0.543195 0.940841i 0.0292023 0.0505799i
\(347\) 9.89519 + 17.1390i 0.531201 + 0.920068i 0.999337 + 0.0364111i \(0.0115926\pi\)
−0.468135 + 0.883657i \(0.655074\pi\)
\(348\) 5.28514 2.22983i 0.283313 0.119532i
\(349\) 28.8669 20.9730i 1.54521 1.12266i 0.598247 0.801312i \(-0.295864\pi\)
0.946961 0.321348i \(-0.104136\pi\)
\(350\) −4.79388 + 0.503857i −0.256244 + 0.0269323i
\(351\) −3.73645 + 2.98550i −0.199437 + 0.159354i
\(352\) −1.48985 3.34625i −0.0794091 0.178356i
\(353\) 17.1263 3.64030i 0.911540 0.193754i 0.271807 0.962352i \(-0.412379\pi\)
0.639732 + 0.768598i \(0.279045\pi\)
\(354\) 0.297142 + 0.979534i 0.0157929 + 0.0520617i
\(355\) −10.4791 4.66559i −0.556173 0.247624i
\(356\) 3.33781 + 10.2727i 0.176904 + 0.544453i
\(357\) −20.1622 + 21.5271i −1.06710 + 1.13933i
\(358\) 9.32431 20.9427i 0.492805 1.10686i
\(359\) −5.99431 + 28.2010i −0.316368 + 1.48839i 0.476596 + 0.879123i \(0.341871\pi\)
−0.792963 + 0.609270i \(0.791463\pi\)
\(360\) 1.03833 2.81458i 0.0547249 0.148341i
\(361\) −9.27109 + 4.12776i −0.487952 + 0.217250i
\(362\) −12.8148 14.2323i −0.673533 0.748034i
\(363\) −3.43455 + 2.39377i −0.180267 + 0.125640i
\(364\) −2.60786 3.58941i −0.136689 0.188136i
\(365\) 0.0488437 0.464717i 0.00255660 0.0243244i
\(366\) 5.95318 9.85904i 0.311177 0.515340i
\(367\) −21.2211 12.2520i −1.10773 0.639548i −0.169489 0.985532i \(-0.554212\pi\)
−0.938240 + 0.345984i \(0.887545\pi\)
\(368\) −0.0893379 0.0649078i −0.00465706 0.00338355i
\(369\) 30.7248 8.66552i 1.59947 0.451109i
\(370\) 0.600057 + 0.194970i 0.0311955 + 0.0101360i
\(371\) 45.5157 2.36306
\(372\) −1.37893 9.54456i −0.0714943 0.494862i
\(373\) −12.1021 −0.626622 −0.313311 0.949651i \(-0.601438\pi\)
−0.313311 + 0.949651i \(0.601438\pi\)
\(374\) −12.3067 3.99870i −0.636366 0.206768i
\(375\) 0.393302 1.68681i 0.0203100 0.0871063i
\(376\) −1.18148 0.858397i −0.0609303 0.0442684i
\(377\) 2.63992 + 1.52416i 0.135963 + 0.0784983i
\(378\) 22.3908 11.2250i 1.15166 0.577352i
\(379\) −2.32962 + 22.1649i −0.119665 + 1.13853i 0.755649 + 0.654977i \(0.227322\pi\)
−0.875314 + 0.483556i \(0.839345\pi\)
\(380\) −1.74875 2.40695i −0.0897090 0.123474i
\(381\) −13.1871 18.9207i −0.675596 0.969338i
\(382\) −6.97471 7.74620i −0.356857 0.396330i
\(383\) 3.74522 1.66748i 0.191372 0.0852041i −0.308814 0.951123i \(-0.599932\pi\)
0.500185 + 0.865918i \(0.333265\pi\)
\(384\) −1.30967 + 1.13348i −0.0668337 + 0.0578425i
\(385\) 3.67097 17.2705i 0.187090 0.880188i
\(386\) 8.84859 19.8742i 0.450381 1.01157i
\(387\) 8.20123 32.2933i 0.416892 1.64156i
\(388\) −3.51650 10.8227i −0.178523 0.549438i
\(389\) 32.5954 + 14.5124i 1.65265 + 0.735808i 0.999766 0.0216475i \(-0.00689115\pi\)
0.652887 + 0.757456i \(0.273558\pi\)
\(390\) 1.52559 0.462787i 0.0772511 0.0234341i
\(391\) −0.381584 + 0.0811083i −0.0192976 + 0.00410182i
\(392\) 6.60345 + 14.8316i 0.333524 + 0.749108i
\(393\) 21.3173 + 7.39212i 1.07532 + 0.372883i
\(394\) 3.99034 0.419401i 0.201030 0.0211291i
\(395\) 3.24681 2.35895i 0.163365 0.118692i
\(396\) 8.62972 + 6.80303i 0.433660 + 0.341865i
\(397\) 19.3015 + 33.4311i 0.968713 + 1.67786i 0.699290 + 0.714838i \(0.253500\pi\)
0.269423 + 0.963022i \(0.413167\pi\)
\(398\) 0.475522 0.823628i 0.0238358 0.0412848i
\(399\) 3.08087 24.6477i 0.154237 1.23393i
\(400\) −0.669131 + 0.743145i −0.0334565 + 0.0371572i
\(401\) 10.4732 32.2332i 0.523007 1.60965i −0.245216 0.969468i \(-0.578859\pi\)
0.768223 0.640182i \(-0.221141\pi\)
\(402\) 19.8296 10.9353i 0.989012 0.545405i
\(403\) 3.60182 3.64554i 0.179419 0.181597i
\(404\) 12.6208i 0.627907i
\(405\) 1.17485 + 8.92299i 0.0583790 + 0.443387i
\(406\) −11.8636 10.6820i −0.588779 0.530139i
\(407\) −1.35842 + 1.86970i −0.0673342 + 0.0926776i
\(408\) −0.120115 + 6.11766i −0.00594658 + 0.302869i
\(409\) 15.4533 8.92199i 0.764119 0.441164i −0.0666538 0.997776i \(-0.521232\pi\)
0.830773 + 0.556612i \(0.187899\pi\)
\(410\) −10.5829 1.11230i −0.522650 0.0549327i
\(411\) 17.1629 + 8.04874i 0.846582 + 0.397015i
\(412\) 0.793737 + 7.55191i 0.0391046 + 0.372056i
\(413\) 2.11700 1.90616i 0.104171 0.0937958i
\(414\) 0.327855 + 0.0475345i 0.0161132 + 0.00233619i
\(415\) −1.87359 8.81453i −0.0919707 0.432688i
\(416\) −0.900318 0.191369i −0.0441417 0.00938262i
\(417\) −1.25310 + 0.106882i −0.0613647 + 0.00523404i
\(418\) 10.3644 3.36760i 0.506939 0.164714i
\(419\) −26.7584 + 8.69434i −1.30723 + 0.424746i −0.878092 0.478491i \(-0.841184\pi\)
−0.429142 + 0.903237i \(0.641184\pi\)
\(420\) −8.31878 + 0.709543i −0.405915 + 0.0346221i
\(421\) 2.95660 + 0.628445i 0.144096 + 0.0306286i 0.279395 0.960176i \(-0.409866\pi\)
−0.135299 + 0.990805i \(0.543199\pi\)
\(422\) −4.96783 23.3718i −0.241830 1.13772i
\(423\) 4.33584 + 0.628638i 0.210816 + 0.0305654i
\(424\) 7.01717 6.31829i 0.340784 0.306843i
\(425\) 0.369269 + 3.51336i 0.0179122 + 0.170423i
\(426\) −17.9882 8.43579i −0.871531 0.408715i
\(427\) −31.8761 3.35032i −1.54259 0.162133i
\(428\) 0.474081 0.273711i 0.0229156 0.0132303i
\(429\) −0.114633 + 5.83844i −0.00553453 + 0.281883i
\(430\) −6.52803 + 8.98506i −0.314810 + 0.433298i
\(431\) −6.98873 6.29268i −0.336635 0.303108i 0.483424 0.875386i \(-0.339393\pi\)
−0.820059 + 0.572279i \(0.806060\pi\)
\(432\) 1.89380 4.83875i 0.0911153 0.232805i
\(433\) 27.3145i 1.31265i 0.754477 + 0.656326i \(0.227890\pi\)
−0.754477 + 0.656326i \(0.772110\pi\)
\(434\) −22.4199 + 14.7527i −1.07619 + 0.708151i
\(435\) 5.02310 2.77006i 0.240839 0.132814i
\(436\) 4.67185 14.3785i 0.223741 0.688605i
\(437\) 0.219836 0.244152i 0.0105162 0.0116794i
\(438\) 0.100384 0.803097i 0.00479654 0.0383735i
\(439\) 0.224629 0.389069i 0.0107210 0.0185693i −0.860615 0.509256i \(-0.829921\pi\)
0.871336 + 0.490687i \(0.163254\pi\)
\(440\) −1.83146 3.17219i −0.0873116 0.151228i
\(441\) −38.2495 30.1531i −1.82141 1.43586i
\(442\) −2.63062 + 1.91125i −0.125126 + 0.0909091i
\(443\) 4.97646 0.523047i 0.236439 0.0248507i 0.0144320 0.999896i \(-0.495406\pi\)
0.222007 + 0.975045i \(0.428739\pi\)
\(444\) 1.03250 + 0.358036i 0.0490003 + 0.0169916i
\(445\) 4.39332 + 9.86755i 0.208263 + 0.467767i
\(446\) −2.35722 + 0.501043i −0.111618 + 0.0237251i
\(447\) 4.91204 1.49007i 0.232332 0.0704779i
\(448\) 4.40355 + 1.96059i 0.208048 + 0.0926291i
\(449\) 7.69476 + 23.6820i 0.363138 + 1.11762i 0.951139 + 0.308764i \(0.0999152\pi\)
−0.588001 + 0.808860i \(0.700085\pi\)
\(450\) 0.738441 2.90770i 0.0348104 0.137070i
\(451\) 15.8537 35.6080i 0.746521 1.67671i
\(452\) −0.733379 + 3.45028i −0.0344952 + 0.162287i
\(453\) −26.3238 + 22.7825i −1.23680 + 1.07041i
\(454\) −13.6542 + 6.07922i −0.640821 + 0.285312i
\(455\) −2.96876 3.29715i −0.139178 0.154573i
\(456\) −2.94650 4.22761i −0.137983 0.197976i
\(457\) 8.81194 + 12.1286i 0.412205 + 0.567352i 0.963755 0.266790i \(-0.0859631\pi\)
−0.551549 + 0.834142i \(0.685963\pi\)
\(458\) −2.34785 + 22.3383i −0.109708 + 1.04380i
\(459\) −8.22662 16.4099i −0.383986 0.765948i
\(460\) −0.0956332 0.0552139i −0.00445892 0.00257436i
\(461\) 22.5883 + 16.4114i 1.05204 + 0.764355i 0.972600 0.232485i \(-0.0746856\pi\)
0.0794438 + 0.996839i \(0.474686\pi\)
\(462\) 6.94429 29.7829i 0.323077 1.38562i
\(463\) −17.7819 5.77769i −0.826394 0.268512i −0.134868 0.990864i \(-0.543061\pi\)
−0.691526 + 0.722352i \(0.743061\pi\)
\(464\) −3.31184 −0.153748
\(465\) −2.36906 9.34813i −0.109862 0.433509i
\(466\) 25.9108 1.20029
\(467\) −17.3511 5.63770i −0.802912 0.260882i −0.121319 0.992614i \(-0.538712\pi\)
−0.681593 + 0.731732i \(0.738712\pi\)
\(468\) 2.65762 0.749545i 0.122848 0.0346477i
\(469\) −50.9850 37.0428i −2.35427 1.71048i
\(470\) −1.26474 0.730196i −0.0583379 0.0336814i
\(471\) −4.91325 + 8.13682i −0.226391 + 0.374925i
\(472\) 0.0617745 0.587745i 0.00284340 0.0270532i
\(473\) −23.9117 32.9116i −1.09946 1.51328i
\(474\) 5.70277 3.97463i 0.261937 0.182561i
\(475\) −1.99077 2.21097i −0.0913426 0.101446i
\(476\) 15.5565 6.92619i 0.713030 0.317462i
\(477\) −9.80449 + 26.5768i −0.448917 + 1.21687i
\(478\) −2.56562 + 12.0703i −0.117349 + 0.552083i
\(479\) 14.9007 33.4675i 0.680830 1.52917i −0.159560 0.987188i \(-0.551007\pi\)
0.840390 0.541982i \(-0.182326\pi\)
\(480\) −1.18401 + 1.26417i −0.0540425 + 0.0577010i
\(481\) 0.179457 + 0.552311i 0.00818253 + 0.0251832i
\(482\) 12.9978 + 5.78700i 0.592035 + 0.263591i
\(483\) −0.267634 0.882259i −0.0121778 0.0401442i
\(484\) 2.36422 0.502531i 0.107465 0.0228423i
\(485\) −4.62851 10.3958i −0.210170 0.472049i
\(486\) 1.73113 + 15.4920i 0.0785255 + 0.702733i
\(487\) 34.6520 3.64207i 1.57023 0.165038i 0.720953 0.692983i \(-0.243704\pi\)
0.849278 + 0.527945i \(0.177037\pi\)
\(488\) −5.37942 + 3.90838i −0.243515 + 0.176924i
\(489\) 18.3658 7.74864i 0.830530 0.350406i
\(490\) 8.11759 + 14.0601i 0.366716 + 0.635170i
\(491\) −16.1760 + 28.0176i −0.730012 + 1.26442i 0.226866 + 0.973926i \(0.427152\pi\)
−0.956878 + 0.290491i \(0.906181\pi\)
\(492\) −18.2887 2.28602i −0.824518 0.103062i
\(493\) −7.82867 + 8.69462i −0.352586 + 0.391586i
\(494\) 0.846220 2.60440i 0.0380732 0.117177i
\(495\) 9.29356 + 5.86371i 0.417714 + 0.263554i
\(496\) −1.40857 + 5.38664i −0.0632469 + 0.241867i
\(497\) 55.2926i 2.48021i
\(498\) −2.94482 15.3280i −0.131961 0.686863i
\(499\) 5.51928 + 4.96958i 0.247077 + 0.222469i 0.783359 0.621570i \(-0.213505\pi\)
−0.536282 + 0.844039i \(0.680172\pi\)
\(500\) −0.587785 + 0.809017i −0.0262866 + 0.0361803i
\(501\) −20.3507 0.399569i −0.909203 0.0178514i
\(502\) −0.747239 + 0.431418i −0.0333509 + 0.0192551i
\(503\) −24.7277 2.59898i −1.10255 0.115883i −0.464276 0.885691i \(-0.653685\pi\)
−0.638276 + 0.769808i \(0.720352\pi\)
\(504\) −14.4299 + 0.945882i −0.642759 + 0.0421329i
\(505\) −1.31923 12.5516i −0.0587049 0.558540i
\(506\) 0.300594 0.270656i 0.0133630 0.0120321i
\(507\) −16.7831 12.7044i −0.745362 0.564220i
\(508\) 2.76841 + 13.0243i 0.122828 + 0.577862i
\(509\) 38.4523 + 8.17328i 1.70437 + 0.362274i 0.954245 0.299026i \(-0.0966617\pi\)
0.750121 + 0.661300i \(0.229995\pi\)
\(510\) 0.520012 + 6.09670i 0.0230265 + 0.269966i
\(511\) −2.14217 + 0.696033i −0.0947639 + 0.0307907i
\(512\) 0.951057 0.309017i 0.0420312 0.0136568i
\(513\) 13.7282 + 7.10826i 0.606116 + 0.313837i
\(514\) −0.487694 0.103662i −0.0215112 0.00457236i
\(515\) 1.57878 + 7.42757i 0.0695693 + 0.327298i
\(516\) −11.6102 + 15.3376i −0.511111 + 0.675202i
\(517\) 3.97531 3.57939i 0.174834 0.157421i
\(518\) −0.317902 3.02464i −0.0139678 0.132895i
\(519\) 0.798947 1.70365i 0.0350699 0.0747818i
\(520\) −0.915390 0.0962114i −0.0401425 0.00421915i
\(521\) 15.7215 9.07681i 0.688771 0.397662i −0.114380 0.993437i \(-0.536488\pi\)
0.803151 + 0.595775i \(0.203155\pi\)
\(522\) 8.79278 4.62618i 0.384849 0.202482i
\(523\) 8.57818 11.8069i 0.375098 0.516278i −0.579180 0.815200i \(-0.696627\pi\)
0.954278 + 0.298922i \(0.0966271\pi\)
\(524\) −9.68060 8.71645i −0.422899 0.380780i
\(525\) −8.19904 + 1.57521i −0.357836 + 0.0687476i
\(526\) 15.9970i 0.697502i
\(527\) 10.8120 + 16.4311i 0.470978 + 0.715752i
\(528\) −3.06372 5.55560i −0.133331 0.241777i
\(529\) −7.10362 + 21.8627i −0.308853 + 0.950552i
\(530\) 6.31829 7.01717i 0.274449 0.304806i
\(531\) 0.656990 + 1.64673i 0.0285109 + 0.0714618i
\(532\) −7.17055 + 12.4198i −0.310883 + 0.538464i
\(533\) −4.89723 8.48225i −0.212122 0.367407i
\(534\) 7.27247 + 17.2372i 0.314711 + 0.745926i
\(535\) 0.442874 0.321767i 0.0191471 0.0139112i
\(536\) −13.0025 + 1.36661i −0.561621 + 0.0590288i
\(537\) 13.0090 37.5152i 0.561380 1.61890i
\(538\) 0.746226 + 1.67605i 0.0321721 + 0.0722597i
\(539\) −58.1688 + 12.3642i −2.50551 + 0.532562i
\(540\) 1.37763 5.01020i 0.0592839 0.215605i
\(541\) −9.95531 4.43239i −0.428012 0.190563i 0.181413 0.983407i \(-0.441933\pi\)
−0.609425 + 0.792844i \(0.708600\pi\)
\(542\) −4.15630 12.7918i −0.178528 0.549454i
\(543\) −24.2106 22.6756i −1.03898 0.973102i
\(544\) 1.43688 3.22729i 0.0616059 0.138369i
\(545\) 3.14330 14.7881i 0.134644 0.633451i
\(546\) −5.02895 5.81067i −0.215219 0.248674i
\(547\) −21.8746 + 9.73920i −0.935291 + 0.416418i −0.817050 0.576567i \(-0.804392\pi\)
−0.118241 + 0.992985i \(0.537725\pi\)
\(548\) −7.32330 8.13335i −0.312836 0.347440i
\(549\) 8.82266 17.8909i 0.376542 0.763564i
\(550\) −2.15302 2.96337i −0.0918049 0.126359i
\(551\) 1.02994 9.79924i 0.0438770 0.417462i
\(552\) −0.163732 0.0988664i −0.00696891 0.00420803i
\(553\) −16.7534 9.67259i −0.712428 0.411320i
\(554\) 18.3596 + 13.3390i 0.780023 + 0.566720i
\(555\) 1.06427 + 0.248149i 0.0451757 + 0.0105333i
\(556\) 0.690568 + 0.224379i 0.0292866 + 0.00951579i
\(557\) 9.91670 0.420184 0.210092 0.977682i \(-0.432624\pi\)
0.210092 + 0.977682i \(0.432624\pi\)
\(558\) −3.78469 16.2689i −0.160219 0.688716i
\(559\) −10.2225 −0.432364
\(560\) 4.58437 + 1.48955i 0.193725 + 0.0629450i
\(561\) −21.8274 5.08936i −0.921553 0.214873i
\(562\) −8.67306 6.30135i −0.365851 0.265806i
\(563\) −29.8772 17.2496i −1.25917 0.726984i −0.286259 0.958152i \(-0.592412\pi\)
−0.972914 + 0.231168i \(0.925745\pi\)
\(564\) −2.16534 1.30749i −0.0911772 0.0550555i
\(565\) −0.368709 + 3.50803i −0.0155117 + 0.147584i
\(566\) 13.6711 + 18.8167i 0.574641 + 0.790926i
\(567\) 36.9895 22.6678i 1.55341 0.951960i
\(568\) 7.67546 + 8.52447i 0.322055 + 0.357679i
\(569\) 22.2487 9.90574i 0.932712 0.415270i 0.116610 0.993178i \(-0.462797\pi\)
0.816102 + 0.577908i \(0.196131\pi\)
\(570\) −3.37227 3.89646i −0.141249 0.163205i
\(571\) 6.70056 31.5236i 0.280410 1.31922i −0.582073 0.813137i \(-0.697758\pi\)
0.862483 0.506087i \(-0.168908\pi\)
\(572\) 1.37130 3.08000i 0.0573371 0.128781i
\(573\) −13.1771 12.3416i −0.550480 0.515578i
\(574\) 15.8505 + 48.7829i 0.661589 + 2.03616i
\(575\) −0.100881 0.0449150i −0.00420702 0.00187308i
\(576\) −2.09336 + 2.14892i −0.0872232 + 0.0895383i
\(577\) 22.8745 4.86212i 0.952277 0.202413i 0.294522 0.955645i \(-0.404840\pi\)
0.657755 + 0.753232i \(0.271506\pi\)
\(578\) 1.83843 + 4.12918i 0.0764685 + 0.171751i
\(579\) 12.3453 35.6012i 0.513052 1.47953i
\(580\) −3.29370 + 0.346181i −0.136763 + 0.0143744i
\(581\) −35.1419 + 25.5321i −1.45793 + 1.05925i
\(582\) −7.66180 18.1600i −0.317592 0.752755i
\(583\) 17.2937 + 29.9535i 0.716230 + 1.24055i
\(584\) −0.233638 + 0.404673i −0.00966802 + 0.0167455i
\(585\) 2.56471 1.02324i 0.106038 0.0423056i
\(586\) 7.98352 8.86660i 0.329796 0.366276i
\(587\) −13.6649 + 42.0562i −0.564010 + 1.73584i 0.106864 + 0.994274i \(0.465919\pi\)
−0.670874 + 0.741571i \(0.734081\pi\)
\(588\) 13.5793 + 24.6241i 0.560002 + 1.01548i
\(589\) −15.5002 5.84295i −0.638676 0.240755i
\(590\) 0.590982i 0.0243304i
\(591\) 6.82472 1.31117i 0.280732 0.0539343i
\(592\) −0.468878 0.422179i −0.0192707 0.0173515i
\(593\) −9.91987 + 13.6535i −0.407360 + 0.560683i −0.962572 0.271026i \(-0.912637\pi\)
0.555212 + 0.831709i \(0.312637\pi\)
\(594\) 15.8944 + 10.4703i 0.652157 + 0.429601i
\(595\) 14.7473 8.51435i 0.604580 0.349054i
\(596\) −2.94735 0.309779i −0.120728 0.0126890i
\(597\) 0.699411 1.49140i 0.0286250 0.0610390i
\(598\) −0.0106244 0.101084i −0.000434464 0.00413365i
\(599\) 28.8717 25.9962i 1.17967 1.06218i 0.182794 0.983151i \(-0.441486\pi\)
0.996873 0.0790249i \(-0.0251807\pi\)
\(600\) −1.04538 + 1.38100i −0.0426777 + 0.0563792i
\(601\) 8.64817 + 40.6865i 0.352766 + 1.65964i 0.694240 + 0.719744i \(0.255741\pi\)
−0.341473 + 0.939891i \(0.610926\pi\)
\(602\) 52.3650 + 11.1305i 2.13424 + 0.453646i
\(603\) 32.6120 21.7909i 1.32806 0.887396i
\(604\) 19.1159 6.21113i 0.777815 0.252727i
\(605\) 2.29874 0.746907i 0.0934572 0.0303661i
\(606\) −1.85777 21.7807i −0.0754666 0.884781i
\(607\) −4.79493 1.01919i −0.194620 0.0413678i 0.109570 0.993979i \(-0.465053\pi\)
−0.304190 + 0.952611i \(0.598386\pi\)
\(608\) 0.618569 + 2.91014i 0.0250863 + 0.118022i
\(609\) −22.0464 16.6885i −0.893364 0.676254i
\(610\) −4.94142 + 4.44927i −0.200072 + 0.180146i
\(611\) −0.140506 1.33683i −0.00568427 0.0540823i
\(612\) 0.693221 + 10.5754i 0.0280218 + 0.427487i
\(613\) 39.1122 + 4.11085i 1.57973 + 0.166036i 0.853378 0.521292i \(-0.174550\pi\)
0.726347 + 0.687328i \(0.241217\pi\)
\(614\) 5.97044 3.44703i 0.240947 0.139111i
\(615\) −18.4275 0.361808i −0.743067 0.0145895i
\(616\) −10.3782 + 14.2843i −0.418148 + 0.575531i
\(617\) 6.50200 + 5.85443i 0.261761 + 0.235690i 0.789552 0.613684i \(-0.210313\pi\)
−0.527791 + 0.849374i \(0.676980\pi\)
\(618\) 2.48145 + 12.9161i 0.0998187 + 0.519563i
\(619\) 1.31823i 0.0529841i 0.999649 + 0.0264920i \(0.00843366\pi\)
−0.999649 + 0.0264920i \(0.991566\pi\)
\(620\) −0.837801 + 5.50437i −0.0336469 + 0.221061i
\(621\) 0.572804 + 0.0337743i 0.0229858 + 0.00135532i
\(622\) −7.55073 + 23.2388i −0.302757 + 0.931789i
\(623\) 34.8388 38.6924i 1.39579 1.55018i
\(624\) −1.58192 0.197735i −0.0633277 0.00791573i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) −5.09546 8.82559i −0.203655 0.352742i
\(627\) 17.3910 7.33737i 0.694530 0.293026i
\(628\) 4.43972 3.22565i 0.177164 0.128717i
\(629\) −2.21671 + 0.232985i −0.0883859 + 0.00928974i
\(630\) −14.2520 + 2.44904i −0.567812 + 0.0975719i
\(631\) 2.61741 + 5.87879i 0.104197 + 0.234031i 0.958119 0.286371i \(-0.0924489\pi\)
−0.853922 + 0.520402i \(0.825782\pi\)
\(632\) −3.92558 + 0.834408i −0.156151 + 0.0331910i
\(633\) −12.0137 39.6035i −0.477503 1.57410i
\(634\) 5.51860 + 2.45704i 0.219171 + 0.0975814i
\(635\) 4.11466 + 12.6636i 0.163285 + 0.502540i
\(636\) 11.1801 11.9369i 0.443319 0.473330i
\(637\) −6.07802 + 13.6515i −0.240820 + 0.540891i
\(638\) 2.52218 11.8659i 0.0998541 0.469777i
\(639\) −32.2855 11.9105i −1.27719 0.471172i
\(640\) 0.913545 0.406737i 0.0361111 0.0160777i
\(641\) 11.8937 + 13.2093i 0.469773 + 0.521735i 0.930740 0.365682i \(-0.119164\pi\)
−0.460967 + 0.887417i \(0.652497\pi\)
\(642\) 0.777872 0.542151i 0.0307002 0.0213970i
\(643\) −5.58624 7.68880i −0.220300 0.303217i 0.684535 0.728980i \(-0.260005\pi\)
−0.904834 + 0.425764i \(0.860005\pi\)
\(644\) −0.0556398 + 0.529378i −0.00219252 + 0.0208604i
\(645\) −9.94338 + 16.4672i −0.391520 + 0.648396i
\(646\) 9.10223 + 5.25518i 0.358123 + 0.206762i
\(647\) 9.92997 + 7.21455i 0.390388 + 0.283633i 0.765614 0.643300i \(-0.222435\pi\)
−0.375227 + 0.926933i \(0.622435\pi\)
\(648\) 2.55602 8.62941i 0.100410 0.338995i
\(649\) 2.05878 + 0.668937i 0.0808141 + 0.0262581i
\(650\) −0.920432 −0.0361023
\(651\) −36.5203 + 28.7601i −1.43134 + 1.12720i
\(652\) −11.5086 −0.450712
\(653\) 47.8747 + 15.5554i 1.87348 + 0.608732i 0.990155 + 0.139978i \(0.0447033\pi\)
0.883329 + 0.468753i \(0.155297\pi\)
\(654\) 5.94611 25.5019i 0.232511 0.997202i
\(655\) −10.5387 7.65680i −0.411780 0.299176i
\(656\) 9.21550 + 5.32057i 0.359805 + 0.207734i
\(657\) 0.0550263 1.40075i 0.00214678 0.0546485i
\(658\) −0.735829 + 7.00095i −0.0286856 + 0.272925i
\(659\) −8.98012 12.3601i −0.349816 0.481480i 0.597460 0.801898i \(-0.296177\pi\)
−0.947276 + 0.320418i \(0.896177\pi\)
\(660\) −3.62766 5.20492i −0.141206 0.202601i
\(661\) −16.2768 18.0772i −0.633092 0.703120i 0.338183 0.941080i \(-0.390188\pi\)
−0.971275 + 0.237960i \(0.923521\pi\)
\(662\) 1.58648 0.706349i 0.0616605 0.0274530i
\(663\) −4.25854 + 3.68564i −0.165388 + 0.143138i
\(664\) −1.87359 + 8.81453i −0.0727093 + 0.342070i
\(665\) −5.83305 + 13.1012i −0.226196 + 0.508044i
\(666\) 1.83457 + 0.465910i 0.0710883 + 0.0180536i
\(667\) −0.113013 0.347819i −0.00437589 0.0134676i
\(668\) 10.7358 + 4.77987i 0.415379 + 0.184939i
\(669\) −3.99430 + 1.21167i −0.154429 + 0.0468460i
\(670\) −12.7884 + 2.71826i −0.494059 + 0.105015i
\(671\) −9.90649 22.2503i −0.382436 0.858965i
\(672\) 7.88818 + 2.73535i 0.304293 + 0.105519i
\(673\) 27.6426 2.90536i 1.06554 0.111993i 0.444508 0.895775i \(-0.353379\pi\)
0.621036 + 0.783782i \(0.286712\pi\)
\(674\) −13.9953 + 10.1682i −0.539081 + 0.391665i
\(675\) 0.846379 5.12676i 0.0325771 0.197329i
\(676\) 6.07640 + 10.5246i 0.233708 + 0.404794i
\(677\) −18.1212 + 31.3869i −0.696456 + 1.20630i 0.273231 + 0.961948i \(0.411908\pi\)
−0.969687 + 0.244349i \(0.921426\pi\)
\(678\) −0.757776 + 6.06239i −0.0291022 + 0.232825i
\(679\) −36.7039 + 40.7638i −1.40857 + 1.56437i
\(680\) 1.09167 3.35981i 0.0418636 0.128843i
\(681\) −22.6693 + 12.5013i −0.868689 + 0.479051i
\(682\) −18.2270 9.14904i −0.697948 0.350335i
\(683\) 28.3768i 1.08581i 0.839795 + 0.542903i \(0.182675\pi\)
−0.839795 + 0.542903i \(0.817325\pi\)
\(684\) −5.70733 6.86223i −0.218225 0.262384i
\(685\) −8.13335 7.32330i −0.310759 0.279809i
\(686\) 26.1660 36.0144i 0.999023 1.37504i
\(687\) −0.763704 + 38.8967i −0.0291371 + 1.48400i
\(688\) 9.61821 5.55308i 0.366691 0.211709i
\(689\) 8.64360 + 0.908479i 0.329295 + 0.0346103i
\(690\) −0.173170 0.0812101i −0.00659246 0.00309162i
\(691\) −2.32829 22.1522i −0.0885724 0.842710i −0.945138 0.326672i \(-0.894073\pi\)
0.856565 0.516038i \(-0.172594\pi\)
\(692\) −0.807345 + 0.726937i −0.0306907 + 0.0276340i
\(693\) 7.60033 52.4210i 0.288713 1.99131i
\(694\) −4.11465 19.3579i −0.156190 0.734816i
\(695\) 0.710239 + 0.150966i 0.0269409 + 0.00572646i
\(696\) −5.71552 + 0.487500i −0.216646 + 0.0184786i
\(697\) 35.7522 11.6166i 1.35421 0.440010i
\(698\) −33.9350 + 11.0262i −1.28446 + 0.417347i
\(699\) 44.7165 3.81405i 1.69133 0.144261i
\(700\) 4.71495 + 1.00219i 0.178209 + 0.0378794i
\(701\) −8.02690 37.7636i −0.303172 1.42631i −0.821050 0.570857i \(-0.806611\pi\)
0.517878 0.855454i \(-0.326722\pi\)
\(702\) 4.47615 1.68475i 0.168941 0.0635869i
\(703\) 1.39498 1.25605i 0.0526127 0.0473727i
\(704\) 0.382880 + 3.64286i 0.0144303 + 0.137296i
\(705\) −2.29015 1.07399i −0.0862519 0.0404489i
\(706\) −17.4130 1.83018i −0.655346 0.0688796i
\(707\) −52.6853 + 30.4179i −1.98143 + 1.14398i
\(708\) 0.0200939 1.02341i 0.000755174 0.0384623i
\(709\) −15.3810 + 21.1701i −0.577644 + 0.795059i −0.993435 0.114401i \(-0.963505\pi\)
0.415790 + 0.909460i \(0.363505\pi\)
\(710\) 8.52447 + 7.67546i 0.319918 + 0.288055i
\(711\) 9.25668 7.69881i 0.347153 0.288728i
\(712\) 10.8014i 0.404799i
\(713\) −0.613788 + 0.0358812i −0.0229865 + 0.00134376i
\(714\) 25.8276 14.2430i 0.966574 0.533032i
\(715\) 1.04184 3.20646i 0.0389627 0.119915i
\(716\) −15.3396 + 17.0364i −0.573268 + 0.636679i
\(717\) −2.65097 + 21.2084i −0.0990023 + 0.792042i
\(718\) 14.4155 24.9684i 0.537982 0.931813i
\(719\) 5.11500 + 8.85944i 0.190757 + 0.330401i 0.945501 0.325618i \(-0.105572\pi\)
−0.754744 + 0.656019i \(0.772239\pi\)
\(720\) −1.85727 + 2.35596i −0.0692162 + 0.0878016i
\(721\) 29.6124 21.5146i 1.10282 0.801247i
\(722\) 10.0929 1.06080i 0.375618 0.0394790i
\(723\) 23.2833 + 8.07385i 0.865915 + 0.300270i
\(724\) 7.78961 + 17.4957i 0.289498 + 0.650224i
\(725\) −3.23947 + 0.688570i −0.120311 + 0.0255728i
\(726\) 4.00617 1.21527i 0.148683 0.0451030i
\(727\) 43.2634 + 19.2621i 1.60455 + 0.714392i 0.996815 0.0797477i \(-0.0254115\pi\)
0.607735 + 0.794140i \(0.292078\pi\)
\(728\) 1.37103 + 4.21960i 0.0508138 + 0.156389i
\(729\) 5.26797 + 26.4811i 0.195110 + 0.980781i
\(730\) −0.190059 + 0.426879i −0.00703438 + 0.0157995i
\(731\) 8.15738 38.3775i 0.301712 1.41944i
\(732\) −8.70842 + 7.53687i −0.321872 + 0.278571i
\(733\) 8.42718 3.75202i 0.311265 0.138584i −0.245158 0.969483i \(-0.578840\pi\)
0.556423 + 0.830899i \(0.312173\pi\)
\(734\) 16.3964 + 18.2100i 0.605200 + 0.672143i
\(735\) 16.0789 + 23.0698i 0.593077 + 0.850942i
\(736\) 0.0649078 + 0.0893379i 0.00239253 + 0.00329304i
\(737\) 5.00581 47.6271i 0.184391 1.75437i
\(738\) −31.8988 1.25310i −1.17421 0.0461271i
\(739\) 32.6490 + 18.8499i 1.20101 + 0.693405i 0.960781 0.277310i \(-0.0894429\pi\)
0.240233 + 0.970715i \(0.422776\pi\)
\(740\) −0.510439 0.370855i −0.0187641 0.0136329i
\(741\) 1.07703 4.61919i 0.0395656 0.169690i
\(742\) −43.2880 14.0651i −1.58915 0.516347i
\(743\) 0.769278 0.0282221 0.0141110 0.999900i \(-0.495508\pi\)
0.0141110 + 0.999900i \(0.495508\pi\)
\(744\) −1.63799 + 9.50353i −0.0600515 + 0.348416i
\(745\) −2.96358 −0.108577
\(746\) 11.5098 + 3.73975i 0.421403 + 0.136922i
\(747\) −7.33839 26.0193i −0.268498 0.951997i
\(748\) 10.4687 + 7.60598i 0.382775 + 0.278102i
\(749\) −2.28521 1.31937i −0.0834997 0.0482086i
\(750\) −0.895304 + 1.48271i −0.0326919 + 0.0541409i
\(751\) −4.53063 + 43.1061i −0.165325 + 1.57296i 0.526042 + 0.850459i \(0.323675\pi\)
−0.691367 + 0.722504i \(0.742991\pi\)
\(752\) 0.858397 + 1.18148i 0.0313025 + 0.0430842i
\(753\) −1.22607 + 0.854528i −0.0446804 + 0.0311407i
\(754\) −2.03973 2.26534i −0.0742824 0.0824990i
\(755\) 18.3619 8.17526i 0.668259 0.297528i
\(756\) −24.7637 + 3.75646i −0.900646 + 0.136621i
\(757\) −4.86744 + 22.8995i −0.176910 + 0.832297i 0.796753 + 0.604305i \(0.206549\pi\)
−0.973663 + 0.227992i \(0.926784\pi\)
\(758\) 9.06492 20.3601i 0.329253 0.739514i
\(759\) 0.478920 0.511341i 0.0173837 0.0185605i
\(760\) 0.919372 + 2.82954i 0.0333491 + 0.102638i
\(761\) −23.0346 10.2556i −0.835002 0.371767i −0.0557247 0.998446i \(-0.517747\pi\)
−0.779277 + 0.626679i \(0.784414\pi\)
\(762\) 6.69485 + 22.0697i 0.242529 + 0.799501i
\(763\) −71.2827 + 15.1516i −2.58061 + 0.548525i
\(764\) 4.23963 + 9.52237i 0.153385 + 0.344507i
\(765\) 1.79486 + 10.4450i 0.0648932 + 0.377641i
\(766\) −4.07719 + 0.428530i −0.147315 + 0.0154834i
\(767\) 0.440072 0.319731i 0.0158901 0.0115448i
\(768\) 1.59583 0.673291i 0.0575846 0.0242953i
\(769\) 9.78852 + 16.9542i 0.352983 + 0.611384i 0.986771 0.162123i \(-0.0518340\pi\)
−0.633788 + 0.773507i \(0.718501\pi\)
\(770\) −8.82819 + 15.2909i −0.318146 + 0.551045i
\(771\) −0.856913 0.107111i −0.0308610 0.00385751i
\(772\) −14.5570 + 16.1672i −0.523917 + 0.581869i
\(773\) 10.6110 32.6572i 0.381650