Properties

Label 930.2.br.a.11.17
Level $930$
Weight $2$
Character 930.11
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 11.17
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.a.761.17

$q$-expansion

\(f(q)\) \(=\) \(q+(0.951057 - 0.309017i) q^{2} +(-0.567467 + 1.63645i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-0.0340008 + 1.73172i) q^{6} +(0.503857 + 4.79388i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-2.35596 - 1.85727i) q^{9} +O(q^{10})\) \(q+(0.951057 - 0.309017i) q^{2} +(-0.567467 + 1.63645i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-0.0340008 + 1.73172i) q^{6} +(0.503857 + 4.79388i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-2.35596 - 1.85727i) q^{9} +(-0.669131 + 0.743145i) q^{10} +(-3.34625 - 1.48985i) q^{11} +(0.502793 + 1.65747i) q^{12} +(0.191369 + 0.900318i) q^{13} +(1.96059 + 4.40355i) q^{14} +(-0.326786 - 1.70094i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-3.22729 + 1.43688i) q^{17} +(-2.81458 - 1.03833i) q^{18} +(-2.91014 - 0.618569i) q^{19} +(-0.406737 + 0.913545i) q^{20} +(-8.13089 - 1.89583i) q^{21} +(-3.64286 - 0.382880i) q^{22} +(0.0893379 + 0.0649078i) q^{23} +(0.990371 + 1.42097i) q^{24} +(0.500000 - 0.866025i) q^{25} +(0.460216 + 0.797118i) q^{26} +(4.37626 - 2.80149i) 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} +(4.33695 - 4.63055i) q^{33} +(-2.62532 + 2.36385i) q^{34} +(-2.83329 - 3.89970i) q^{35} +(-2.99769 - 0.117760i) q^{36} +(-0.546407 - 0.315469i) q^{37} +(-2.95885 + 0.310988i) q^{38} +(-1.58192 - 0.197735i) q^{39} +(-0.104528 + 0.994522i) q^{40} +(-7.90791 - 7.12032i) q^{41} +(-8.31878 + 0.709543i) q^{42} +(-2.30910 + 10.8635i) q^{43} +(-3.58288 + 0.761566i) q^{44} +(2.96896 + 0.430458i) q^{45} +(0.105023 + 0.0341240i) q^{46} +(-1.38892 - 0.451286i) q^{47} +(1.38100 + 1.04538i) q^{48} +(-15.8804 + 3.37549i) q^{49} +(0.207912 - 0.978148i) q^{50} +(-0.520012 - 6.09670i) q^{51} +(0.684014 + 0.615889i) q^{52} +(-0.987013 + 9.39081i) q^{53} +(3.29636 - 4.01671i) q^{54} +(3.64286 - 0.382880i) q^{55} +(4.17449 + 2.41014i) q^{56} +(2.66367 - 4.41129i) q^{57} +(1.94665 + 2.67933i) q^{58} +(-0.439186 + 0.395444i) q^{59} +(-1.26417 - 1.18401i) 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} +(2.69377 - 5.74410i) q^{66} +(6.53705 + 11.3225i) q^{67} +(-1.76636 + 3.05942i) q^{68} +(-0.156915 + 0.109364i) q^{69} +(-3.89970 - 2.83329i) q^{70} +(11.4080 + 1.19903i) q^{71} +(-2.88736 + 0.814340i) q^{72} +(-0.190059 + 0.426879i) q^{73} +(-0.617150 - 0.131179i) q^{74} +(1.13348 + 1.30967i) q^{75} +(-2.71794 + 1.21010i) q^{76} +(5.45612 - 16.7922i) q^{77} +(-1.56560 + 0.300785i) q^{78} +(1.63235 + 3.66631i) q^{79} +(0.207912 + 0.978148i) q^{80} +(2.10112 + 8.75130i) q^{81} +(-9.72117 - 4.32814i) q^{82} +(6.02984 - 6.69682i) q^{83} +(-7.69237 + 3.24546i) q^{84} +(2.07648 - 2.85802i) q^{85} +(1.16091 + 11.0453i) q^{86} +(-5.73517 - 0.112605i) q^{87} +(-3.17219 + 1.83146i) q^{88} +(-8.73850 + 6.34889i) q^{89} +(2.95666 - 0.508068i) q^{90} +(-4.21960 + 1.37103i) q^{91} +0.110428 q^{92} +(2.25610 + 9.37603i) q^{93} -1.46039 q^{94} +(2.82954 - 0.919372i) q^{95} +(1.63645 + 0.567467i) q^{96} +(-9.20631 + 6.68877i) q^{97} +(-14.0601 + 8.11759i) q^{98} +(5.11660 + 9.72490i) 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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{30}\right)\)

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
\(3\) −0.567467 + 1.63645i −0.327627 + 0.944807i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) −0.0340008 + 1.73172i −0.0138808 + 0.706971i
\(7\) 0.503857 + 4.79388i 0.190440 + 1.81192i 0.505479 + 0.862839i \(0.331316\pi\)
−0.315039 + 0.949079i \(0.602018\pi\)
\(8\) 0.587785 0.809017i 0.207813 0.286031i
\(9\) −2.35596 1.85727i −0.785321 0.619089i
\(10\) −0.669131 + 0.743145i −0.211598 + 0.235003i
\(11\) −3.34625 1.48985i −1.00893 0.449206i −0.165367 0.986232i \(-0.552881\pi\)
−0.843566 + 0.537026i \(0.819548\pi\)
\(12\) 0.502793 + 1.65747i 0.145144 + 0.478470i
\(13\) 0.191369 + 0.900318i 0.0530761 + 0.249703i 0.996685 0.0813594i \(-0.0259261\pi\)
−0.943609 + 0.331063i \(0.892593\pi\)
\(14\) 1.96059 + 4.40355i 0.523989 + 1.17690i
\(15\) −0.326786 1.70094i −0.0843759 0.439182i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) −3.22729 + 1.43688i −0.782733 + 0.348495i −0.758889 0.651220i \(-0.774257\pi\)
−0.0238447 + 0.999716i \(0.507591\pi\)
\(18\) −2.81458 1.03833i −0.663403 0.244737i
\(19\) −2.91014 0.618569i −0.667631 0.141909i −0.138386 0.990378i \(-0.544192\pi\)
−0.529245 + 0.848469i \(0.677525\pi\)
\(20\) −0.406737 + 0.913545i −0.0909491 + 0.204275i
\(21\) −8.13089 1.89583i −1.77431 0.413704i
\(22\) −3.64286 0.382880i −0.776661 0.0816303i
\(23\) 0.0893379 + 0.0649078i 0.0186282 + 0.0135342i 0.597060 0.802196i \(-0.296335\pi\)
−0.578432 + 0.815730i \(0.696335\pi\)
\(24\) 0.990371 + 1.42097i 0.202159 + 0.290055i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 0.460216 + 0.797118i 0.0902558 + 0.156328i
\(27\) 4.37626 2.80149i 0.842212 0.539147i
\(28\) 3.22540 + 3.58217i 0.609544 + 0.676967i
\(29\) 1.02341 + 3.14975i 0.190043 + 0.584893i 0.999999 0.00159839i \(-0.000508785\pi\)
−0.809955 + 0.586491i \(0.800509\pi\)
\(30\) −0.836413 1.51671i −0.152707 0.276912i
\(31\) 4.68773 3.00420i 0.841941 0.539570i
\(32\) 1.00000i 0.176777i
\(33\) 4.33695 4.63055i 0.754966 0.806075i
\(34\) −2.62532 + 2.36385i −0.450238 + 0.405396i
\(35\) −2.83329 3.89970i −0.478914 0.659169i
\(36\) −2.99769 0.117760i −0.499615 0.0196266i
\(37\) −0.546407 0.315469i −0.0898288 0.0518627i 0.454413 0.890791i \(-0.349849\pi\)
−0.544242 + 0.838929i \(0.683182\pi\)
\(38\) −2.95885 + 0.310988i −0.479989 + 0.0504489i
\(39\) −1.58192 0.197735i −0.253311 0.0316629i
\(40\) −0.104528 + 0.994522i −0.0165274 + 0.157248i
\(41\) −7.90791 7.12032i −1.23501 1.11201i −0.989789 0.142539i \(-0.954473\pi\)
−0.245220 0.969468i \(-0.578860\pi\)
\(42\) −8.31878 + 0.709543i −1.28362 + 0.109485i
\(43\) −2.30910 + 10.8635i −0.352134 + 1.65666i 0.344165 + 0.938909i \(0.388162\pi\)
−0.696299 + 0.717752i \(0.745171\pi\)
\(44\) −3.58288 + 0.761566i −0.540140 + 0.114810i
\(45\) 2.96896 + 0.430458i 0.442586 + 0.0641689i
\(46\) 0.105023 + 0.0341240i 0.0154848 + 0.00503132i
\(47\) −1.38892 0.451286i −0.202594 0.0658268i 0.205962 0.978560i \(-0.433968\pi\)
−0.408556 + 0.912733i \(0.633968\pi\)
\(48\) 1.38100 + 1.04538i 0.199331 + 0.150888i
\(49\) −15.8804 + 3.37549i −2.26863 + 0.482212i
\(50\) 0.207912 0.978148i 0.0294032 0.138331i
\(51\) −0.520012 6.09670i −0.0728163 0.853709i
\(52\) 0.684014 + 0.615889i 0.0948557 + 0.0854085i
\(53\) −0.987013 + 9.39081i −0.135577 + 1.28993i 0.689243 + 0.724530i \(0.257943\pi\)
−0.824820 + 0.565396i \(0.808723\pi\)
\(54\) 3.29636 4.01671i 0.448578 0.546605i
\(55\) 3.64286 0.382880i 0.491203 0.0516276i
\(56\) 4.17449 + 2.41014i 0.557840 + 0.322069i
\(57\) 2.66367 4.41129i 0.352811 0.584290i
\(58\) 1.94665 + 2.67933i 0.255608 + 0.351814i
\(59\) −0.439186 + 0.395444i −0.0571771 + 0.0514825i −0.697224 0.716853i \(-0.745582\pi\)
0.640047 + 0.768336i \(0.278915\pi\)
\(60\) −1.26417 1.18401i −0.163203 0.152855i
\(61\) 6.64933i 0.851360i 0.904874 + 0.425680i \(0.139965\pi\)
−0.904874 + 0.425680i \(0.860035\pi\)
\(62\) 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
\(66\) 2.69377 5.74410i 0.331580 0.707050i
\(67\) 6.53705 + 11.3225i 0.798627 + 1.38326i 0.920510 + 0.390719i \(0.127773\pi\)
−0.121883 + 0.992544i \(0.538893\pi\)
\(68\) −1.76636 + 3.05942i −0.214202 + 0.371009i
\(69\) −0.156915 + 0.109364i −0.0188903 + 0.0131659i
\(70\) −3.89970 2.83329i −0.466103 0.338644i
\(71\) 11.4080 + 1.19903i 1.35388 + 0.142298i 0.753515 0.657431i \(-0.228357\pi\)
0.600361 + 0.799729i \(0.295023\pi\)
\(72\) −2.88736 + 0.814340i −0.340279 + 0.0959709i
\(73\) −0.190059 + 0.426879i −0.0222447 + 0.0499623i −0.924326 0.381603i \(-0.875372\pi\)
0.902081 + 0.431566i \(0.142039\pi\)
\(74\) −0.617150 0.131179i −0.0717422 0.0152493i
\(75\) 1.13348 + 1.30967i 0.130883 + 0.151227i
\(76\) −2.71794 + 1.21010i −0.311769 + 0.138808i
\(77\) 5.45612 16.7922i 0.621782 1.91365i
\(78\) −1.56560 + 0.300785i −0.177270 + 0.0340572i
\(79\) 1.63235 + 3.66631i 0.183654 + 0.412493i 0.981786 0.189989i \(-0.0608453\pi\)
−0.798133 + 0.602482i \(0.794179\pi\)
\(80\) 0.207912 + 0.978148i 0.0232452 + 0.109360i
\(81\) 2.10112 + 8.75130i 0.233458 + 0.972367i
\(82\) −9.72117 4.32814i −1.07352 0.477964i
\(83\) 6.02984 6.69682i 0.661861 0.735071i −0.314966 0.949103i \(-0.601993\pi\)
0.976827 + 0.214032i \(0.0686597\pi\)
\(84\) −7.69237 + 3.24546i −0.839306 + 0.354109i
\(85\) 2.07648 2.85802i 0.225225 0.309996i
\(86\) 1.16091 + 11.0453i 0.125184 + 1.19105i
\(87\) −5.73517 0.112605i −0.614874 0.0120725i
\(88\) −3.17219 + 1.83146i −0.338156 + 0.195235i
\(89\) −8.73850 + 6.34889i −0.926279 + 0.672981i −0.945079 0.326842i \(-0.894015\pi\)
0.0188001 + 0.999823i \(0.494015\pi\)
\(90\) 2.95666 0.508068i 0.311660 0.0535551i
\(91\) −4.21960 + 1.37103i −0.442334 + 0.143723i
\(92\) 0.110428 0.0115129
\(93\) 2.25610 + 9.37603i 0.233947 + 0.972249i
\(94\) −1.46039 −0.150628
\(95\) 2.82954 0.919372i 0.290304 0.0943256i
\(96\) 1.63645 + 0.567467i 0.167020 + 0.0579168i
\(97\) −9.20631 + 6.68877i −0.934759 + 0.679142i −0.947153 0.320781i \(-0.896055\pi\)
0.0123944 + 0.999923i \(0.496055\pi\)
\(98\) −14.0601 + 8.11759i −1.42028 + 0.820001i
\(99\) 5.11660 + 9.72490i 0.514238 + 0.977390i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) 7.41830 10.2104i 0.738148 1.01597i −0.260575 0.965454i \(-0.583912\pi\)
0.998723 0.0505205i \(-0.0160880\pi\)
\(102\) −2.37854 5.63761i −0.235511 0.558207i
\(103\) 5.08105 5.64307i 0.500650 0.556029i −0.438857 0.898557i \(-0.644617\pi\)
0.939508 + 0.342528i \(0.111283\pi\)
\(104\) 0.840857 + 0.374373i 0.0824528 + 0.0367103i
\(105\) 7.98947 2.42361i 0.779693 0.236520i
\(106\) 1.96321 + 9.23619i 0.190684 + 0.897098i
\(107\) −0.222657 0.500095i −0.0215250 0.0483460i 0.902463 0.430767i \(-0.141757\pi\)
−0.923988 + 0.382421i \(0.875090\pi\)
\(108\) 1.89380 4.83875i 0.182231 0.465609i
\(109\) −4.67185 + 14.3785i −0.447482 + 1.37721i 0.432256 + 0.901751i \(0.357718\pi\)
−0.879738 + 0.475458i \(0.842282\pi\)
\(110\) 3.34625 1.48985i 0.319053 0.142051i
\(111\) 0.826318 0.715153i 0.0784306 0.0678793i
\(112\) 4.71495 + 1.00219i 0.445521 + 0.0946985i
\(113\) −1.43471 + 3.22240i −0.134966 + 0.303138i −0.968367 0.249530i \(-0.919724\pi\)
0.833401 + 0.552668i \(0.186390\pi\)
\(114\) 1.17013 5.01850i 0.109593 0.470026i
\(115\) −0.109823 0.0115428i −0.0102410 0.00107638i
\(116\) 2.67933 + 1.94665i 0.248770 + 0.180742i
\(117\) 1.22127 2.47654i 0.112907 0.228956i
\(118\) −0.295491 + 0.511806i −0.0272022 + 0.0471155i
\(119\) −8.51435 14.7473i −0.780509 1.35188i
\(120\) −1.56817 0.735414i −0.143154 0.0671338i
\(121\) 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
\(126\) 3.55950 14.0159i 0.317105 1.24864i
\(127\) 9.89521 8.90969i 0.878058 0.790607i −0.100852 0.994901i \(-0.532157\pi\)
0.978909 + 0.204295i \(0.0654901\pi\)
\(128\) −0.587785 0.809017i −0.0519534 0.0715077i
\(129\) −16.4672 9.94338i −1.44986 0.875466i
\(130\) −0.797118 0.460216i −0.0699118 0.0403636i
\(131\) 12.9552 1.36164i 1.13190 0.118967i 0.479996 0.877271i \(-0.340638\pi\)
0.651902 + 0.758303i \(0.273971\pi\)
\(132\) 0.786900 6.29539i 0.0684909 0.547943i
\(133\) 1.49905 14.2625i 0.129984 1.23672i
\(134\) 9.71594 + 8.74827i 0.839330 + 0.755736i
\(135\) −2.38921 + 4.61429i −0.205630 + 0.397135i
\(136\) −0.734492 + 3.45551i −0.0629822 + 0.296308i
\(137\) 10.7053 2.27549i 0.914619 0.194408i 0.273520 0.961866i \(-0.411812\pi\)
0.641099 + 0.767458i \(0.278479\pi\)
\(138\) −0.115439 + 0.152501i −0.00982686 + 0.0129818i
\(139\) 0.690568 + 0.224379i 0.0585732 + 0.0190316i 0.338157 0.941090i \(-0.390196\pi\)
−0.279584 + 0.960121i \(0.590196\pi\)
\(140\) −4.58437 1.48955i −0.387450 0.125890i
\(141\) 1.52667 2.01681i 0.128569 0.169846i
\(142\) 11.2201 2.38491i 0.941573 0.200138i
\(143\) 0.700969 3.29780i 0.0586180 0.275776i
\(144\) −2.49440 + 1.66673i −0.207866 + 0.138894i
\(145\) −2.46118 2.21605i −0.204389 0.184033i
\(146\) −0.0488437 + 0.464717i −0.00404233 + 0.0384602i
\(147\) 3.48778 27.9030i 0.287667 2.30140i
\(148\) −0.627481 + 0.0659509i −0.0515786 + 0.00542113i
\(149\) 2.56654 + 1.48179i 0.210259 + 0.121393i 0.601432 0.798924i \(-0.294597\pi\)
−0.391173 + 0.920317i \(0.627931\pi\)
\(150\) 1.48271 + 0.895304i 0.121063 + 0.0731013i
\(151\) 11.8143 + 16.2610i 0.961432 + 1.32330i 0.946258 + 0.323413i \(0.104830\pi\)
0.0151738 + 0.999885i \(0.495170\pi\)
\(152\) −2.21097 + 1.99077i −0.179333 + 0.161472i
\(153\) 10.2721 + 2.60870i 0.830447 + 0.210901i
\(154\) 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 0.995643 0.0932473i \(-0.0297247\pi\)
−0.860301 + 0.509786i \(0.829725\pi\)
\(158\) 2.68541 + 2.98245i 0.213640 + 0.237271i
\(159\) −14.8075 6.94417i −1.17431 0.550709i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) −0.266147 + 0.460980i −0.0209753 + 0.0363303i
\(162\) 4.70259 + 7.67370i 0.369470 + 0.602903i
\(163\) −9.31065 6.76459i −0.729267 0.529843i 0.160065 0.987107i \(-0.448830\pi\)
−0.889331 + 0.457263i \(0.848830\pi\)
\(164\) −10.5829 1.11230i −0.826382 0.0868563i
\(165\) −1.44064 + 6.17865i −0.112153 + 0.481007i
\(166\) 3.66529 8.23237i 0.284482 0.638956i
\(167\) −11.4949 2.44333i −0.889506 0.189070i −0.259576 0.965723i \(-0.583583\pi\)
−0.629929 + 0.776652i \(0.716916\pi\)
\(168\) −6.31298 + 5.46369i −0.487057 + 0.421533i
\(169\) 11.1021 4.94299i 0.854011 0.380230i
\(170\) 1.09167 3.35981i 0.0837271 0.257686i
\(171\) 5.70733 + 6.86223i 0.436450 + 0.524768i
\(172\) 4.51728 + 10.1460i 0.344439 + 0.773623i
\(173\) 0.225873 + 1.06265i 0.0171728 + 0.0807918i 0.985900 0.167338i \(-0.0535173\pi\)
−0.968727 + 0.248130i \(0.920184\pi\)
\(174\) −5.48926 + 1.66517i −0.416140 + 0.126236i
\(175\) 4.40355 + 1.96059i 0.332877 + 0.148207i
\(176\) −2.45098 + 2.72209i −0.184749 + 0.205185i
\(177\) −0.397903 0.943108i −0.0299083 0.0708884i
\(178\) −6.34889 + 8.73850i −0.475869 + 0.654978i
\(179\) 2.39628 + 22.7991i 0.179107 + 1.70409i 0.602483 + 0.798132i \(0.294178\pi\)
−0.423377 + 0.905954i \(0.639155\pi\)
\(180\) 2.65495 1.39686i 0.197889 0.104116i
\(181\) 16.5857 9.57574i 1.23280 0.711759i 0.265189 0.964196i \(-0.414566\pi\)
0.967613 + 0.252437i \(0.0812322\pi\)
\(182\) −3.58941 + 2.60786i −0.266064 + 0.193307i
\(183\) −10.8813 3.77328i −0.804371 0.278929i
\(184\) 0.105023 0.0341240i 0.00774240 0.00251566i
\(185\) 0.630937 0.0463874
\(186\) 5.04304 + 8.21996i 0.369773 + 0.602717i
\(187\) 12.9401 0.946272
\(188\) −1.38892 + 0.451286i −0.101297 + 0.0329134i
\(189\) 15.6350 + 19.5677i 1.13728 + 1.42334i
\(190\) 2.40695 1.74875i 0.174618 0.126868i
\(191\) −9.02705 + 5.21177i −0.653174 + 0.377110i −0.789671 0.613530i \(-0.789749\pi\)
0.136497 + 0.990640i \(0.456416\pi\)
\(192\) 1.73172 + 0.0340008i 0.124976 + 0.00245380i
\(193\) −2.27402 21.6359i −0.163688 1.55739i −0.700480 0.713672i \(-0.747031\pi\)
0.536793 0.843714i \(-0.319636\pi\)
\(194\) −6.68877 + 9.20631i −0.480226 + 0.660974i
\(195\) 1.46885 0.619719i 0.105187 0.0443790i
\(196\) −10.8635 + 12.0651i −0.775962 + 0.861793i
\(197\) 3.66543 + 1.63196i 0.261151 + 0.116272i 0.533136 0.846030i \(-0.321013\pi\)
−0.271985 + 0.962302i \(0.587680\pi\)
\(198\) 7.87134 + 7.66782i 0.559392 + 0.544928i
\(199\) −0.197733 0.930262i −0.0140169 0.0659445i 0.970583 0.240766i \(-0.0773986\pi\)
−0.984600 + 0.174821i \(0.944065\pi\)
\(200\) −0.406737 0.913545i −0.0287606 0.0645974i
\(201\) −22.2383 + 4.27244i −1.56857 + 0.301354i
\(202\) 3.90003 12.0031i 0.274405 0.844533i
\(203\) −14.5839 + 6.49315i −1.02359 + 0.455730i
\(204\) −4.00425 4.62668i −0.280353 0.323932i
\(205\) 10.4086 + 2.21242i 0.726969 + 0.154522i
\(206\) 3.08856 6.93701i 0.215190 0.483324i
\(207\) −0.0899258 0.318845i −0.00625027 0.0221612i
\(208\) 0.915390 + 0.0962114i 0.0634709 + 0.00667106i
\(209\) 8.81648 + 6.40555i 0.609849 + 0.443081i
\(210\) 6.84950 4.77387i 0.472661 0.329428i
\(211\) 11.9470 20.6928i 0.822464 1.42455i −0.0813777 0.996683i \(-0.525932\pi\)
0.903842 0.427866i \(-0.140735\pi\)
\(212\) 4.72127 + 8.17747i 0.324258 + 0.561631i
\(213\) −8.43579 + 17.9882i −0.578011 + 1.23253i
\(214\) −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
\(219\) −0.590715 0.553261i −0.0399168 0.0373859i
\(220\) 2.72209 2.45098i 0.183523 0.165245i
\(221\) −1.91125 2.63062i −0.128565 0.176954i
\(222\) 0.564880 0.935497i 0.0379123 0.0627864i
\(223\) 2.08702 + 1.20494i 0.139757 + 0.0806889i 0.568248 0.822857i \(-0.307621\pi\)
−0.428491 + 0.903546i \(0.640955\pi\)
\(224\) 4.79388 0.503857i 0.320305 0.0336654i
\(225\) −2.78642 + 1.11169i −0.185761 + 0.0741127i
\(226\) −0.368709 + 3.50803i −0.0245262 + 0.233351i
\(227\) −11.1073 10.0011i −0.737217 0.663793i 0.212408 0.977181i \(-0.431869\pi\)
−0.949625 + 0.313388i \(0.898536\pi\)
\(228\) −0.437940 5.13447i −0.0290033 0.340039i
\(229\) −4.66998 + 21.9705i −0.308601 + 1.45185i 0.501294 + 0.865277i \(0.332857\pi\)
−0.809895 + 0.586575i \(0.800476\pi\)
\(230\) −0.108015 + 0.0229592i −0.00712227 + 0.00151389i
\(231\) 24.3835 + 18.4577i 1.60432 + 1.21443i
\(232\) 3.14975 + 1.02341i 0.206791 + 0.0671904i
\(233\) 24.6426 + 8.00688i 1.61439 + 0.524548i 0.970610 0.240660i \(-0.0773637\pi\)
0.643783 + 0.765208i \(0.277364\pi\)
\(234\) 0.396208 2.73272i 0.0259009 0.178644i
\(235\) 1.42848 0.303633i 0.0931837 0.0198068i
\(236\) −0.122872 + 0.578068i −0.00799830 + 0.0376290i
\(237\) −6.92606 + 0.590752i −0.449896 + 0.0383734i
\(238\) −12.6548 11.3944i −0.820288 0.738591i
\(239\) 1.28988 12.2724i 0.0834352 0.793833i −0.870166 0.492759i \(-0.835988\pi\)
0.953601 0.301074i \(-0.0973450\pi\)
\(240\) −1.71868 0.214828i −0.110940 0.0138671i
\(241\) −14.1499 + 1.48722i −0.911478 + 0.0958002i −0.548646 0.836055i \(-0.684857\pi\)
−0.362832 + 0.931855i \(0.618190\pi\)
\(242\) 2.09322 + 1.20852i 0.134557 + 0.0776867i
\(243\) −15.5134 1.52768i −0.995186 0.0980006i
\(244\) 3.90838 + 5.37942i 0.250208 + 0.344382i
\(245\) 12.0651 10.8635i 0.770811 0.694041i
\(246\) 12.5993 13.4522i 0.803299 0.857679i
\(247\) 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 \(-0.242002\pi\)
−0.761090 + 0.648646i \(0.775336\pi\)
\(252\) −0.945882 14.4299i −0.0595849 0.908998i
\(253\) −0.202244 0.350298i −0.0127150 0.0220230i
\(254\) 6.65766 11.5314i 0.417739 0.723545i
\(255\) 3.49869 + 5.01989i 0.219097 + 0.314358i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −0.495858 0.0521167i −0.0309308 0.00325095i 0.0890504 0.996027i \(-0.471617\pi\)
−0.119981 + 0.992776i \(0.538283\pi\)
\(258\) −18.7339 4.36807i −1.16632 0.271944i
\(259\) 1.23701 2.77836i 0.0768639 0.172639i
\(260\) −0.900318 0.191369i −0.0558354 0.0118682i
\(261\) 3.43879 9.32144i 0.212856 0.576982i
\(262\) 11.9003 5.29837i 0.735205 0.327334i
\(263\) −4.94334 + 15.2140i −0.304819 + 0.938137i 0.674925 + 0.737886i \(0.264176\pi\)
−0.979745 + 0.200251i \(0.935824\pi\)
\(264\) −1.19700 6.23044i −0.0736700 0.383457i
\(265\) −3.84062 8.62618i −0.235928 0.529902i
\(266\) −2.98168 14.0277i −0.182819 0.860094i
\(267\) −5.43086 17.9029i −0.332363 1.09564i
\(268\) 11.9438 + 5.31771i 0.729582 + 0.324831i
\(269\) 1.22763 1.36342i 0.0748500 0.0831294i −0.704557 0.709648i \(-0.748854\pi\)
0.779407 + 0.626519i \(0.215521\pi\)
\(270\) −0.846379 + 5.12676i −0.0515090 + 0.312005i
\(271\) 7.90575 10.8813i 0.480240 0.660994i −0.498311 0.866998i \(-0.666046\pi\)
0.978551 + 0.206004i \(0.0660461\pi\)
\(272\) 0.369269 + 3.51336i 0.0223902 + 0.213029i
\(273\) 0.150853 7.68319i 0.00913004 0.465008i
\(274\) 9.47822 5.47225i 0.572600 0.330591i
\(275\) −2.96337 + 2.15302i −0.178698 + 0.129832i
\(276\) −0.0626640 + 0.180710i −0.00377193 + 0.0108775i
\(277\) −21.5830 + 7.01273i −1.29679 + 0.421354i −0.874465 0.485088i \(-0.838788\pi\)
−0.422330 + 0.906442i \(0.638788\pi\)
\(278\) 0.726106 0.0435489
\(279\) −16.6237 1.62858i −0.995235 0.0975004i
\(280\) −4.82029 −0.288067
\(281\) −10.1958 + 3.31281i −0.608230 + 0.197626i −0.596908 0.802310i \(-0.703604\pi\)
−0.0113224 + 0.999936i \(0.503604\pi\)
\(282\) 0.828724 2.38986i 0.0493498 0.142314i
\(283\) −18.8167 + 13.6711i −1.11854 + 0.812665i −0.983987 0.178242i \(-0.942959\pi\)
−0.134551 + 0.990907i \(0.542959\pi\)
\(284\) 9.93400 5.73540i 0.589475 0.340333i
\(285\) −0.101158 + 5.15212i −0.00599206 + 0.305185i
\(286\) −0.352415 3.35301i −0.0208388 0.198267i
\(287\) 30.1495 41.4972i 1.77967 2.44950i
\(288\) −1.85727 + 2.35596i −0.109440 + 0.138826i
\(289\) −3.02444 + 3.35898i −0.177908 + 0.197587i
\(290\) −3.02551 1.34705i −0.177664 0.0791013i
\(291\) −5.72160 18.8614i −0.335406 1.10567i
\(292\) 0.0971523 + 0.457066i 0.00568541 + 0.0267477i
\(293\) 4.85285 + 10.8997i 0.283506 + 0.636766i 0.998023 0.0628528i \(-0.0200199\pi\)
−0.714516 + 0.699619i \(0.753353\pi\)
\(294\) −5.30544 27.6151i −0.309419 1.61055i
\(295\) 0.182624 0.562058i 0.0106328 0.0327243i
\(296\) −0.576390 + 0.256625i −0.0335020 + 0.0149160i
\(297\) −18.8179 + 2.85452i −1.09192 + 0.165636i
\(298\) 2.89882 + 0.616163i 0.167924 + 0.0356934i
\(299\) −0.0413412 + 0.0928539i −0.00239082 + 0.00536988i
\(300\) 1.68681 + 0.393302i 0.0973878 + 0.0227073i
\(301\) −53.2416 5.59592i −3.06879 0.322543i
\(302\) 16.2610 + 11.8143i 0.935713 + 0.679835i
\(303\) 12.4992 + 17.9338i 0.718062 + 1.03027i
\(304\) −1.48758 + 2.57656i −0.0853183 + 0.147776i
\(305\) −3.32467 5.75849i −0.190370 0.329730i
\(306\) 10.5754 0.693221i 0.604558 0.0396288i
\(307\) −4.61303 5.12329i −0.263280 0.292402i 0.596982 0.802255i \(-0.296366\pi\)
−0.860261 + 0.509853i \(0.829700\pi\)
\(308\) −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 \(-0.243615\pi\)
\(312\) −1.08980 + 1.16358i −0.0616979 + 0.0658747i
\(313\) 7.57333 6.81905i 0.428070 0.385436i −0.426743 0.904373i \(-0.640339\pi\)
0.854812 + 0.518938i \(0.173672\pi\)
\(314\) 3.22565 + 4.43972i 0.182034 + 0.250548i
\(315\) −0.567635 + 14.4497i −0.0319826 + 0.814150i
\(316\) 3.47560 + 2.00664i 0.195518 + 0.112882i
\(317\) 6.00776 0.631441i 0.337430 0.0354653i 0.0657014 0.997839i \(-0.479072\pi\)
0.271728 + 0.962374i \(0.412405\pi\)
\(318\) −16.2287 2.02852i −0.910058 0.113754i
\(319\) 1.26804 12.0646i 0.0709965 0.675486i
\(320\) 0.743145 + 0.669131i 0.0415431 + 0.0374055i
\(321\) 0.944733 0.0805801i 0.0527298 0.00449754i
\(322\) −0.110670 + 0.520662i −0.00616740 + 0.0290153i
\(323\) 10.2807 2.18523i 0.572032 0.121589i
\(324\) 6.84373 + 5.84494i 0.380207 + 0.324719i
\(325\) 0.875383 + 0.284429i 0.0485575 + 0.0157773i
\(326\) −10.9453 3.55635i −0.606206 0.196968i
\(327\) −20.8786 15.8046i −1.15459 0.873996i
\(328\) −10.4086 + 2.21242i −0.574720 + 0.122160i
\(329\) 1.46360 6.88568i 0.0806907 0.379620i
\(330\) 0.539180 + 6.32142i 0.0296809 + 0.347983i
\(331\) −1.29056 1.16203i −0.0709358 0.0638708i 0.632900 0.774233i \(-0.281864\pi\)
−0.703836 + 0.710363i \(0.748531\pi\)
\(332\) 0.941953 8.96209i 0.0516964 0.491858i
\(333\) 0.701407 + 1.75806i 0.0384369 + 0.0963409i
\(334\) −11.6874 + 1.22839i −0.639505 + 0.0672146i
\(335\) −11.3225 6.53705i −0.618614 0.357157i
\(336\) −4.31562 + 7.14709i −0.235437 + 0.389906i
\(337\) 10.1682 + 13.9953i 0.553898 + 0.762375i 0.990535 0.137263i \(-0.0438304\pi\)
−0.436637 + 0.899638i \(0.643830\pi\)
\(338\) 9.03129 8.13181i 0.491238 0.442312i
\(339\) −4.45916 4.17643i −0.242189 0.226833i
\(340\) 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
\(345\) 0.0812101 0.173170i 0.00437220 0.00932315i
\(346\) 0.543195 + 0.940841i 0.0292023 + 0.0505799i
\(347\) −9.89519 + 17.1390i −0.531201 + 0.920068i 0.468135 + 0.883657i \(0.344926\pi\)
−0.999337 + 0.0364111i \(0.988407\pi\)
\(348\) −4.70603 + 3.27995i −0.252270 + 0.175824i
\(349\) 28.8669 + 20.9730i 1.54521 + 1.12266i 0.946961 + 0.321348i \(0.104136\pi\)
0.598247 + 0.801312i \(0.295864\pi\)
\(350\) 4.79388 + 0.503857i 0.256244 + 0.0269323i
\(351\) 3.35971 + 3.40391i 0.179328 + 0.181687i
\(352\) −1.48985 + 3.34625i −0.0794091 + 0.178356i
\(353\) −17.1263 3.64030i −0.911540 0.193754i −0.271807 0.962352i \(-0.587621\pi\)
−0.639732 + 0.768598i \(0.720955\pi\)
\(354\) −0.669865 0.773990i −0.0356029 0.0411371i
\(355\) −10.4791 + 4.66559i −0.556173 + 0.247624i
\(356\) −3.33781 + 10.2727i −0.176904 + 0.544453i
\(357\) 28.9649 5.56475i 1.53298 0.294518i
\(358\) 9.32431 + 20.9427i 0.492805 + 1.10686i
\(359\) 5.99431 + 28.2010i 0.316368 + 1.48839i 0.792963 + 0.609270i \(0.208537\pi\)
−0.476596 + 0.879123i \(0.658129\pi\)
\(360\) 2.09336 2.14892i 0.110330 0.113258i
\(361\) −9.27109 4.12776i −0.487952 0.217250i
\(362\) 12.8148 14.2323i 0.673533 0.748034i
\(363\) −3.85719 + 1.62737i −0.202450 + 0.0854150i
\(364\) −2.60786 + 3.58941i −0.136689 + 0.188136i
\(365\) −0.0488437 0.464717i −0.00255660 0.0243244i
\(366\) −11.5148 0.226083i −0.601886 0.0118175i
\(367\) −21.2211 + 12.2520i −1.10773 + 0.639548i −0.938240 0.345984i \(-0.887545\pi\)
−0.169489 + 0.985532i \(0.554212\pi\)
\(368\) 0.0893379 0.0649078i 0.00465706 0.00338355i
\(369\) 5.40643 + 31.4623i 0.281447 + 1.63786i
\(370\) 0.600057 0.194970i 0.0311955 0.0101360i
\(371\) −45.5157 −2.36306
\(372\) 7.33632 + 6.25927i 0.380370 + 0.324528i
\(373\) −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
\(375\) −1.63645 0.567467i −0.0845061 0.0293039i
\(376\) −1.18148 + 0.858397i −0.0609303 + 0.0442684i
\(377\) −2.63992 + 1.52416i −0.135963 + 0.0784983i
\(378\) 20.9166 + 13.7785i 1.07583 + 0.708691i
\(379\) −2.32962 22.1649i −0.119665 1.13853i −0.875314 0.483556i \(-0.839345\pi\)
0.755649 0.654977i \(-0.227322\pi\)
\(380\) 1.74875 2.40695i 0.0897090 0.123474i
\(381\) 8.96509 + 21.2490i 0.459295 + 1.08862i
\(382\) −6.97471 + 7.74620i −0.356857 + 0.396330i
\(383\) −3.74522 1.66748i −0.191372 0.0852041i 0.308814 0.951123i \(-0.400068\pi\)
−0.500185 + 0.865918i \(0.666735\pi\)
\(384\) 1.65747 0.502793i 0.0845823 0.0256581i
\(385\) 3.67097 + 17.2705i 0.187090 + 0.880188i
\(386\) −8.84859 19.8742i −0.450381 1.01157i
\(387\) 25.6165 21.3053i 1.30216 1.08301i
\(388\) −3.51650 + 10.8227i −0.178523 + 0.549438i
\(389\) −32.5954 + 14.5124i −1.65265 + 0.735808i −0.999766 0.0216475i \(-0.993109\pi\)
−0.652887 + 0.757456i \(0.726442\pi\)
\(390\) 1.20546 1.04329i 0.0610408 0.0528290i
\(391\) −0.381584 0.0811083i −0.0192976 0.00410182i
\(392\) −6.60345 + 14.8316i −0.333524 + 0.749108i
\(393\) −5.12336 + 21.9732i −0.258439 + 1.10840i
\(394\) 3.99034 + 0.419401i 0.201030 + 0.0211291i
\(395\) −3.24681 2.35895i −0.163365 0.118692i
\(396\) 9.85557 + 4.86015i 0.495261 + 0.244232i
\(397\) 19.3015 33.4311i 0.968713 1.67786i 0.269423 0.963022i \(-0.413167\pi\)
0.699290 0.714838i \(-0.253500\pi\)
\(398\) −0.475522 0.823628i −0.0238358 0.0412848i
\(399\) 22.4893 + 10.5466i 1.12587 + 0.527992i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) −10.4732 32.2332i −0.523007 1.60965i −0.768223 0.640182i \(-0.778859\pi\)
0.245216 0.969468i \(-0.421141\pi\)
\(402\) −19.8296 + 10.9353i −0.989012 + 0.545405i
\(403\) 3.60182 + 3.64554i 0.179419 + 0.181597i
\(404\) 12.6208i 0.627907i
\(405\) −6.19528 6.52829i −0.307846 0.324393i
\(406\) −11.8636 + 10.6820i −0.588779 + 0.530139i
\(407\) 1.35842 + 1.86970i 0.0673342 + 0.0926776i
\(408\) −5.23799 3.16285i −0.259319 0.156584i
\(409\) 15.4533 + 8.92199i 0.764119 + 0.441164i 0.830773 0.556612i \(-0.187899\pi\)
−0.0666538 + 0.997776i \(0.521232\pi\)
\(410\) 10.5829 1.11230i 0.522650 0.0549327i
\(411\) −2.35119 + 18.8101i −0.115976 + 0.927832i
\(412\) 0.793737 7.55191i 0.0391046 0.372056i
\(413\) −2.11700 1.90616i −0.104171 0.0937958i
\(414\) −0.184053 0.275451i −0.00904571 0.0135377i
\(415\) −1.87359 + 8.81453i −0.0919707 + 0.432688i
\(416\) 0.900318 0.191369i 0.0441417 0.00938262i
\(417\) −0.759060 + 1.00275i −0.0371713 + 0.0491051i
\(418\) 10.3644 + 3.36760i 0.506939 + 0.164714i
\(419\) 26.7584 + 8.69434i 1.30723 + 0.424746i 0.878092 0.478491i \(-0.158816\pi\)
0.429142 + 0.903237i \(0.358816\pi\)
\(420\) 5.03906 6.65684i 0.245881 0.324820i
\(421\) 2.95660 0.628445i 0.144096 0.0306286i −0.135299 0.990805i \(-0.543199\pi\)
0.279395 + 0.960176i \(0.409866\pi\)
\(422\) 4.96783 23.3718i 0.241830 1.13772i
\(423\) 2.43407 + 3.64280i 0.118349 + 0.177119i
\(424\) 7.01717 + 6.31829i 0.340784 + 0.306843i
\(425\) −0.369269 + 3.51336i −0.0179122 + 0.170423i
\(426\) −2.46425 + 19.7146i −0.119393 + 0.955175i
\(427\) −31.8761 + 3.35032i −1.54259 + 0.162133i
\(428\) −0.474081 0.273711i −0.0229156 0.0132303i
\(429\) 4.99892 + 3.01850i 0.241350 + 0.145734i
\(430\) −6.52803 8.98506i −0.314810 0.433298i
\(431\) 6.98873 6.29268i 0.336635 0.303108i −0.483424 0.875386i \(-0.660607\pi\)
0.820059 + 0.572279i \(0.193940\pi\)
\(432\) −1.31203 5.02778i −0.0631253 0.241899i
\(433\) 27.3145i 1.31265i −0.754477 0.656326i \(-0.772110\pi\)
0.754477 0.656326i \(-0.227890\pi\)
\(434\) 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
\(438\) −0.732771 0.343642i −0.0350131 0.0164198i
\(439\) 0.224629 + 0.389069i 0.0107210 + 0.0185693i 0.871336 0.490687i \(-0.163254\pi\)
−0.860615 + 0.509256i \(0.829921\pi\)
\(440\) 1.83146 3.17219i 0.0873116 0.151228i
\(441\) 43.6828 + 21.5416i 2.08014 + 1.02579i
\(442\) −2.63062 1.91125i −0.125126 0.0909091i
\(443\) −4.97646 0.523047i −0.236439 0.0248507i −0.0144320 0.999896i \(-0.504594\pi\)
−0.222007 + 0.975045i \(0.571261\pi\)
\(444\) 0.248149 1.06427i 0.0117766 0.0505079i
\(445\) 4.39332 9.86755i 0.208263 0.467767i
\(446\) 2.35722 + 0.501043i 0.111618 + 0.0237251i
\(447\) −3.88131 + 3.35915i −0.183580 + 0.158883i
\(448\) 4.40355 1.96059i 0.208048 0.0926291i
\(449\) −7.69476 + 23.6820i −0.363138 + 1.11762i 0.588001 + 0.808860i \(0.299915\pi\)
−0.951139 + 0.308764i \(0.900085\pi\)
\(450\) −2.30651 + 1.91833i −0.108730 + 0.0904311i
\(451\) 15.8537 + 35.6080i 0.746521 + 1.67671i
\(452\) 0.733379 + 3.45028i 0.0344952 + 0.162287i
\(453\) −33.3145 + 10.1060i −1.56525 + 0.474820i
\(454\) −13.6542 6.07922i −0.640821 0.285312i
\(455\) 2.96876 3.29715i 0.139178 0.154573i
\(456\) −2.00314 4.74784i −0.0938058 0.222338i
\(457\) 8.81194 12.1286i 0.412205 0.567352i −0.551549 0.834142i \(-0.685963\pi\)
0.963755 + 0.266790i \(0.0859631\pi\)
\(458\) 2.34785 + 22.3383i 0.109708 + 1.04380i
\(459\) −10.0981 + 15.3294i −0.471337 + 0.715515i
\(460\) −0.0956332 + 0.0552139i −0.00445892 + 0.00257436i
\(461\) −22.5883 + 16.4114i −1.05204 + 0.764355i −0.972600 0.232485i \(-0.925314\pi\)
−0.0794438 + 0.996839i \(0.525314\pi\)
\(462\) 28.8938 + 10.0194i 1.34426 + 0.466145i
\(463\) −17.7819 + 5.77769i −0.826394 + 0.268512i −0.691526 0.722352i \(-0.743061\pi\)
−0.134868 + 0.990864i \(0.543061\pi\)
\(464\) 3.31184 0.153748
\(465\) −6.64186 6.99183i −0.308009 0.324238i
\(466\) 25.9108 1.20029
\(467\) 17.3511 5.63770i 0.802912 0.260882i 0.121319 0.992614i \(-0.461288\pi\)
0.681593 + 0.731732i \(0.261288\pi\)
\(468\) −0.467642 2.72141i −0.0216168 0.125797i
\(469\) −50.9850 + 37.0428i −2.35427 + 1.71048i
\(470\) 1.26474 0.730196i 0.0583379 0.0336814i
\(471\) −9.50332 0.186590i −0.437890 0.00859760i
\(472\) 0.0617745 + 0.587745i 0.00284340 + 0.0270532i
\(473\) 23.9117 32.9116i 1.09946 1.51328i
\(474\) −6.40452 + 2.70211i −0.294169 + 0.124112i
\(475\) −1.99077 + 2.21097i −0.0913426 + 0.101446i
\(476\) −15.5565 6.92619i −0.713030 0.317462i
\(477\) 19.7666 20.2912i 0.905050 0.929072i
\(478\) −2.56562 12.0703i −0.117349 0.552083i
\(479\) −14.9007 33.4675i −0.680830 1.52917i −0.840390 0.541982i \(-0.817674\pi\)
0.159560 0.987188i \(-0.448993\pi\)
\(480\) −1.70094 + 0.326786i −0.0776371 + 0.0149157i
\(481\) 0.179457 0.552311i 0.00818253 0.0251832i
\(482\) −12.9978 + 5.78700i −0.592035 + 0.263591i
\(483\) −0.603343 0.697128i −0.0274530 0.0317204i
\(484\) 2.36422 + 0.502531i 0.107465 + 0.0228423i
\(485\) 4.62851 10.3958i 0.210170 0.472049i
\(486\) −15.2262 + 3.34100i −0.690675 + 0.151551i
\(487\) 34.6520 + 3.64207i 1.57023 + 0.165038i 0.849278 0.527945i \(-0.177037\pi\)
0.720953 + 0.692983i \(0.243704\pi\)
\(488\) 5.37942 + 3.90838i 0.243515 + 0.176924i
\(489\) 16.3534 11.3978i 0.739527 0.515425i
\(490\) 8.11759 14.0601i 0.366716 0.635170i
\(491\) 16.1760 + 28.0176i 0.730012 + 1.26442i 0.956878 + 0.290491i \(0.0938188\pi\)
−0.226866 + 0.973926i \(0.572848\pi\)
\(492\) 7.82565 16.6872i 0.352808 0.752315i
\(493\) −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
\(498\) 11.3920 + 10.6697i 0.510486 + 0.478119i
\(499\) 5.51928 4.96958i 0.247077 0.222469i −0.536282 0.844039i \(-0.680172\pi\)
0.783359 + 0.621570i \(0.213505\pi\)
\(500\) 0.587785 + 0.809017i 0.0262866 + 0.0361803i
\(501\) 10.5214 17.4244i 0.470061 0.778467i
\(502\) −0.747239 0.431418i −0.0333509 0.0192551i
\(503\) 24.7277 2.59898i 1.10255 0.115883i 0.464276 0.885691i \(-0.346315\pi\)
0.638276 + 0.769808i \(0.279648\pi\)
\(504\) −5.35867 13.4314i −0.238694 0.598280i
\(505\) −1.31923 + 12.5516i −0.0587049 + 0.558540i
\(506\) −0.300594 0.270656i −0.0133630 0.0120321i
\(507\) 1.78888 + 20.9731i 0.0794471 + 0.931449i
\(508\) 2.76841 13.0243i 0.122828 0.577862i
\(509\) −38.4523 + 8.17328i −1.70437 + 0.362274i −0.954245 0.299026i \(-0.903338\pi\)
−0.750121 + 0.661300i \(0.770005\pi\)
\(510\) 4.87869 + 3.69304i 0.216032 + 0.163531i
\(511\) −2.14217 0.696033i −0.0947639 0.0307907i
\(512\) −0.951057 0.309017i −0.0420312 0.0136568i
\(513\) −14.4684 + 5.44570i −0.638797 + 0.240433i
\(514\) −0.487694 + 0.103662i −0.0215112 + 0.00457236i
\(515\) −1.57878 + 7.42757i −0.0695693 + 0.327298i
\(516\) −19.1668 + 1.63482i −0.843772 + 0.0719688i
\(517\) 3.97531 + 3.57939i 0.174834 + 0.157421i
\(518\) 0.317902 3.02464i 0.0139678 0.132895i
\(519\) −1.86715 0.233387i −0.0819589 0.0102446i
\(520\) −0.915390 + 0.0962114i −0.0401425 + 0.00421915i
\(521\) −15.7215 9.07681i −0.688771 0.397662i 0.114380 0.993437i \(-0.463512\pi\)
−0.803151 + 0.595775i \(0.796845\pi\)
\(522\) 0.390001 9.92786i 0.0170699 0.434530i
\(523\) 8.57818 + 11.8069i 0.375098 + 0.516278i 0.954278 0.298922i \(-0.0966271\pi\)
−0.579180 + 0.815200i \(0.696627\pi\)
\(524\) 9.68060 8.71645i 0.422899 0.380780i
\(525\) −5.70728 + 6.09364i −0.249086 + 0.265948i
\(526\) 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
\(531\) 1.76915 0.115968i 0.0767746 0.00503258i
\(532\) −7.17055 12.4198i −0.310883 0.538464i
\(533\) 4.89723 8.48225i 0.212122 0.367407i
\(534\) −10.6974 15.3485i −0.462920 0.664193i
\(535\) 0.442874 + 0.321767i 0.0191471 + 0.0139112i
\(536\) 13.0025 + 1.36661i 0.561621 + 0.0590288i
\(537\) −38.6695 9.01633i −1.66871 0.389083i
\(538\) 0.746226 1.67605i 0.0321721 0.0722597i
\(539\) 58.1688 + 12.3642i 2.50551 + 0.532562i
\(540\) 0.779301 + 5.13738i 0.0335358 + 0.221078i
\(541\) −9.95531 + 4.43239i −0.428012 + 0.190563i −0.609425 0.792844i \(-0.708600\pi\)
0.181413 + 0.983407i \(0.441933\pi\)
\(542\) 4.15630 12.7918i 0.178528 0.549454i
\(543\) 6.25844 + 32.5756i 0.268575 + 1.39795i
\(544\) 1.43688 + 3.22729i 0.0616059 + 0.138369i
\(545\) −3.14330 14.7881i −0.134644 0.633451i
\(546\) −2.23077 7.35377i −0.0954680 0.314712i
\(547\) −21.8746 9.73920i −0.935291 0.416418i −0.118241 0.992985i \(-0.537725\pi\)
−0.817050 + 0.576567i \(0.804392\pi\)
\(548\) 7.32330 8.13335i 0.312836 0.347440i
\(549\) 12.3496 15.6656i 0.527067 0.668591i
\(550\) −2.15302 + 2.96337i −0.0918049 + 0.126359i
\(551\) −1.02994 9.79924i −0.0438770 0.417462i
\(552\) −0.00375463 + 0.191230i −0.000159808 + 0.00813927i
\(553\) −16.7534 + 9.67259i −0.712428 + 0.411320i
\(554\) −18.3596 + 13.3390i −0.780023 + 0.566720i
\(555\) −0.358036 + 1.03250i −0.0151978 + 0.0438272i
\(556\) 0.690568 0.224379i 0.0292866 0.00951579i
\(557\) −9.91670 −0.420184 −0.210092 0.977682i \(-0.567376\pi\)
−0.210092 + 0.977682i \(0.567376\pi\)
\(558\) −16.3133 + 3.58814i −0.690599 + 0.151898i
\(559\) −10.2225 −0.432364
\(560\) −4.58437 + 1.48955i −0.193725 + 0.0629450i
\(561\) −7.34306 + 21.1758i −0.310024 + 0.894044i
\(562\) −8.67306 + 6.30135i −0.365851 + 0.265806i
\(563\) 29.8772 17.2496i 1.25917 0.726984i 0.286259 0.958152i \(-0.407588\pi\)
0.972914 + 0.231168i \(0.0742548\pi\)
\(564\) 0.0496545 2.52899i 0.00209083 0.106489i
\(565\) −0.368709 3.50803i −0.0155117 0.147584i
\(566\) −13.6711 + 18.8167i −0.574641 + 0.790926i
\(567\) −40.8941 + 14.4820i −1.71739 + 0.608185i
\(568\) 7.67546 8.52447i 0.322055 0.357679i
\(569\) −22.2487 9.90574i −0.932712 0.415270i −0.116610 0.993178i \(-0.537203\pi\)
−0.816102 + 0.577908i \(0.803869\pi\)
\(570\) 1.49589 + 4.93122i 0.0626558 + 0.206546i
\(571\) 6.70056 + 31.5236i 0.280410 + 1.31922i 0.862483 + 0.506087i \(0.168908\pi\)
−0.582073 + 0.813137i \(0.697758\pi\)
\(572\) −1.37130 3.08000i −0.0573371 0.128781i
\(573\) −3.40627 17.7299i −0.142299 0.740675i
\(574\) 15.8505 48.7829i 0.661589 2.03616i
\(575\) 0.100881 0.0449150i 0.00420702 0.00187308i
\(576\) −1.03833 + 2.81458i −0.0432639 + 0.117274i
\(577\) 22.8745 + 4.86212i 0.952277 + 0.202413i 0.657755 0.753232i \(-0.271506\pi\)
0.294522 + 0.955645i \(0.404840\pi\)
\(578\) −1.83843 + 4.12918i −0.0764685 + 0.171751i
\(579\) 36.6966 + 8.55631i 1.52506 + 0.355588i
\(580\) −3.29370 0.346181i −0.136763 0.0143744i
\(581\) 35.1419 + 25.5321i 1.45793 + 1.05925i
\(582\) −11.2700 16.1701i −0.467158 0.670274i
\(583\) 17.2937 29.9535i 0.716230 1.24055i
\(584\) 0.233638 + 0.404673i 0.00966802 + 0.0167455i
\(585\) 0.180616 + 2.75538i 0.00746754 + 0.113921i
\(586\) 7.98352 + 8.86660i 0.329796 + 0.366276i
\(587\) 13.6649 + 42.0562i 0.564010 + 1.73584i 0.670874 + 0.741571i \(0.265919\pi\)
−0.106864 + 0.994274i \(0.534081\pi\)
\(588\) −13.5793 24.6241i −0.560002 1.01548i
\(589\) −15.5002 + 5.84295i −0.638676 + 0.240755i
\(590\) 0.590982i 0.0243304i
\(591\) −4.75063 + 5.07223i −0.195415 + 0.208644i
\(592\) −0.468878 + 0.422179i −0.0192707 + 0.0173515i
\(593\) 9.91987 + 13.6535i 0.407360 + 0.560683i 0.962572 0.271026i \(-0.0873628\pi\)
−0.555212 + 0.831709i \(0.687363\pi\)
\(594\) −17.0148 + 8.52985i −0.698124 + 0.349984i
\(595\) 14.7473 + 8.51435i 0.604580 + 0.349054i
\(596\) 2.94735 0.309779i 0.120728 0.0126890i
\(597\) 1.63454 + 0.204311i 0.0668972 + 0.00836190i
\(598\) −0.0106244 + 0.101084i −0.000434464 + 0.00413365i
\(599\) −28.8717 25.9962i −1.17967 1.06218i −0.996873 0.0790249i \(-0.974819\pi\)
−0.182794 0.983151i \(-0.558514\pi\)
\(600\) 1.72578 0.147199i 0.0704549 0.00600938i
\(601\) 8.64817 40.6865i 0.352766 1.65964i −0.341473 0.939891i \(-0.610926\pi\)
0.694240 0.719744i \(-0.255741\pi\)
\(602\) −52.3650 + 11.1305i −2.13424 + 0.453646i
\(603\) 5.62785 38.8164i 0.229184 1.58073i
\(604\) 19.1159 + 6.21113i 0.777815 + 0.252727i
\(605\) −2.29874 0.746907i −0.0934572 0.0303661i
\(606\) 17.4293 + 13.1936i 0.708018 + 0.535952i
\(607\) −4.79493 + 1.01919i −0.194620 + 0.0413678i −0.304190 0.952611i \(-0.598386\pi\)
0.109570 + 0.993979i \(0.465053\pi\)
\(608\) −0.618569 + 2.91014i −0.0250863 + 0.118022i
\(609\) −2.34989 27.5505i −0.0952224 1.11640i
\(610\) −4.94142 4.44927i −0.200072 0.180146i
\(611\) 0.140506 1.33683i 0.00568427 0.0540823i
\(612\) 9.84362 3.92728i 0.397905 0.158751i
\(613\) 39.1122 4.11085i 1.57973 0.166036i 0.726347 0.687328i \(-0.241217\pi\)
0.853378 + 0.521292i \(0.174550\pi\)
\(614\) −5.97044 3.44703i −0.240947 0.139111i
\(615\) −9.52706 + 15.7777i −0.384168 + 0.636220i
\(616\) −10.3782 14.2843i −0.418148 0.575531i
\(617\) −6.50200 + 5.85443i −0.261761 + 0.235690i −0.789552 0.613684i \(-0.789687\pi\)
0.527791 + 0.849374i \(0.323020\pi\)
\(618\) 9.59945 + 8.99080i 0.386146 + 0.361663i
\(619\) 1.31823i 0.0529841i −0.999649 0.0264920i \(-0.991566\pi\)
0.999649 0.0264920i \(-0.00843366\pi\)
\(620\) 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
\(624\) −0.676899 + 1.44340i −0.0270976 + 0.0577821i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 5.09546 8.82559i 0.203655 0.352742i
\(627\) −15.4854 + 10.7928i −0.618429 + 0.431024i
\(628\) 4.43972 + 3.22565i 0.177164 + 0.128717i
\(629\) 2.21671 + 0.232985i 0.0883859 + 0.00928974i
\(630\) 3.92536 + 13.9179i 0.156390 + 0.554503i
\(631\) 2.61741 5.87879i 0.104197 0.234031i −0.853922 0.520402i \(-0.825782\pi\)
0.958119 + 0.286371i \(0.0924489\pi\)
\(632\) 3.92558 + 0.834408i 0.156151 + 0.0331910i
\(633\) 27.0833 + 31.2932i 1.07646 + 1.24379i
\(634\) 5.51860 2.45704i 0.219171 0.0975814i
\(635\) −4.11466 + 12.6636i −0.163285 + 0.502540i
\(636\) −16.0612 + 3.08569i −0.636869 + 0.122356i
\(637\) −6.07802 13.6515i −0.240820 0.540891i
\(638\) −2.52218 11.8659i −0.0998541 0.469777i
\(639\) −24.6498 24.0125i −0.975132 0.949919i
\(640\) 0.913545 + 0.406737i 0.0361111 + 0.0160777i
\(641\) −11.8937 + 13.2093i −0.469773 + 0.521735i −0.930740 0.365682i \(-0.880836\pi\)
0.460967 + 0.887417i \(0.347503\pi\)
\(642\) 0.873593 0.368575i 0.0344780 0.0145465i
\(643\) −5.58624 + 7.68880i −0.220300 + 0.303217i −0.904834 0.425764i \(-0.860005\pi\)
0.684535 + 0.728980i \(0.260005\pi\)
\(644\) 0.0556398 + 0.529378i 0.00219252 + 0.0208604i
\(645\) 19.2327 + 0.377618i 0.757287 + 0.0148687i
\(646\) 9.10223 5.25518i 0.358123 0.206762i
\(647\) −9.92997 + 7.21455i −0.390388 + 0.283633i −0.765614 0.643300i \(-0.777565\pi\)
0.375227 + 0.926933i \(0.377565\pi\)
\(648\) 8.31496 + 3.44404i 0.326643 + 0.135295i
\(649\) 2.05878 0.668937i 0.0808141 0.0262581i
\(650\) 0.920432 0.0361023
\(651\) −43.8109 + 15.5397i −1.71708 + 0.609048i
\(652\) −11.5086 −0.450712
\(653\) −47.8747 + 15.5554i −1.87348 + 0.608732i −0.883329 + 0.468753i \(0.844703\pi\)
−0.990155 + 0.139978i \(0.955297\pi\)
\(654\) −24.7406 8.57921i −0.967435 0.335474i
\(655\) −10.5387 + 7.65680i −0.411780 + 0.299176i
\(656\) −9.21550 + 5.32057i −0.359805 + 0.207734i
\(657\) 1.24060 0.652721i 0.0484003 0.0254651i
\(658\) −0.735829 7.00095i −0.0286856 0.272925i
\(659\) 8.98012 12.3601i 0.349816 0.481480i −0.597460 0.801898i \(-0.703823\pi\)
0.947276 + 0.320418i \(0.103823\pi\)
\(660\) 2.46622 + 5.84542i 0.0959974 + 0.227533i
\(661\) −16.2768 + 18.0772i −0.633092 + 0.703120i −0.971275 0.237960i \(-0.923521\pi\)
0.338183 + 0.941080i \(0.390188\pi\)
\(662\) −1.58648 0.706349i −0.0616605 0.0274530i
\(663\) 5.38946 1.63489i 0.209309 0.0634940i
\(664\) −1.87359 8.81453i −0.0727093 0.342070i
\(665\) 5.83305 + 13.1012i 0.226196 + 0.508044i
\(666\) 1.21035 + 1.45526i 0.0469000 + 0.0563903i
\(667\) −0.113013 + 0.347819i −0.00437589 + 0.0134676i
\(668\) −10.7358 + 4.77987i −0.415379 + 0.184939i
\(669\) −3.15615 + 2.73155i −0.122024 + 0.105608i
\(670\) −12.7884 2.71826i −0.494059 0.105015i
\(671\) 9.90649 22.2503i 0.382436 0.858965i
\(672\) −1.89583 + 8.13089i −0.0731332 + 0.313656i
\(673\) 27.6426 + 2.90536i 1.06554 + 0.111993i 0.621036 0.783782i \(-0.286712\pi\)
0.444508 + 0.895775i \(0.353379\pi\)
\(674\) 13.9953 + 10.1682i 0.539081 + 0.391665i
\(675\) −0.238030 5.19070i −0.00916176 0.199790i
\(676\) 6.07640 10.5246i 0.233708 0.404794i
\(677\) 18.1212 + 31.3869i 0.696456 + 1.20630i 0.969687 + 0.244349i \(0.0785743\pi\)
−0.273231 + 0.961948i \(0.588092\pi\)
\(678\) −5.53151 2.59407i −0.212436 0.0996246i
\(679\) −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 \(0.817325\pi\)
\(684\) 8.65084 + 2.19697i 0.330773 + 0.0840034i
\(685\) −8.13335 + 7.32330i −0.310759 + 0.279809i
\(686\) −26.1660 36.0144i −0.999023 1.37504i
\(687\) −33.3037 20.1097i −1.27061 0.767234i
\(688\) 9.61821 + 5.55308i 0.366691 + 0.211709i
\(689\) −8.64360 + 0.908479i −0.329295 + 0.0346103i
\(690\) 0.0237230 0.189790i 0.000903119 0.00722516i
\(691\) −2.32829 + 22.1522i −0.0885724 + 0.842710i 0.856565 + 0.516038i \(0.172594\pi\)
−0.945138 + 0.326672i \(0.894073\pi\)
\(692\) 0.807345 + 0.726937i 0.0306907 + 0.0276340i
\(693\) −44.0420 + 29.4284i −1.67302 + 1.11789i
\(694\) −4.11465 + 19.3579i −0.156190 + 0.734816i
\(695\) −0.710239 + 0.150966i −0.0269409 + 0.00572646i
\(696\) −3.46215 + 4.57366i −0.131232 + 0.173364i
\(697\) 35.7522 + 11.6166i 1.35421 + 0.440010i
\(698\) 33.9350 + 11.0262i 1.28446 + 0.417347i
\(699\) −27.0868 + 35.7829i −1.02452 + 1.35343i
\(700\) 4.71495 1.00219i 0.178209 0.0378794i
\(701\) 8.02690 37.7636i 0.303172 1.42631i −0.517878 0.855454i \(-0.673278\pi\)
0.821050 0.570857i \(-0.193389\pi\)
\(702\) 4.24714 + 2.19910i 0.160298 + 0.0829999i
\(703\) 1.39498 + 1.25605i 0.0526127 + 0.0473727i
\(704\) −0.382880 + 3.64286i −0.0144303 + 0.137296i
\(705\) −0.313733 + 2.50994i −0.0118159 + 0.0945298i
\(706\) −17.4130 + 1.83018i −0.655346 + 0.0688796i
\(707\) 52.6853 + 30.4179i 1.98143 + 1.14398i
\(708\) −0.876256 0.529109i −0.0329317 0.0198851i
\(709\) −15.3810 21.1701i −0.577644 0.795059i 0.415790 0.909460i \(-0.363505\pi\)
−0.993435 + 0.114401i \(0.963505\pi\)
\(710\) −8.52447 + 7.67546i −0.319918 + 0.288055i
\(711\) 2.96357 11.6694i 0.111143 0.437637i
\(712\) 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
\(717\) 19.3512 + 9.07498i 0.722683 + 0.338911i
\(718\) 14.4155 + 24.9684i 0.537982 + 0.931813i
\(719\) −5.11500 + 8.85944i −0.190757 + 0.330401i −0.945501 0.325618i \(-0.894428\pi\)
0.754744 + 0.656019i \(0.227761\pi\)
\(720\) 1.32685 2.69063i 0.0494487 0.100274i
\(721\) 29.6124 + 21.5146i 1.10282 + 0.801247i
\(722\) −10.0929 1.06080i −0.375618 0.0394790i
\(723\) 5.59586 23.9997i 0.208112 0.892558i
\(724\) 7.78961 17.4957i 0.289498 0.650224i
\(725\) 3.23947 + 0.688570i 0.120311 + 0.0255728i
\(726\) −3.16552 + 2.73966i −0.117483 + 0.101678i
\(727\) 43.2634 19.2621i 1.60455 0.714392i 0.607735 0.794140i \(-0.292078\pi\)
0.996815 + 0.0797477i \(0.0254115\pi\)
\(728\) −1.37103 + 4.21960i −0.0508138 + 0.156389i
\(729\) 11.3033 24.5201i 0.418642 0.908152i
\(730\) −0.190059 0.426879i −0.00703438 0.0157995i
\(731\) −8.15738 38.3775i −0.301712 1.41944i
\(732\) −11.0211 + 3.34324i −0.407350 + 0.123570i
\(733\) 8.42718 + 3.75202i 0.311265 + 0.138584i 0.556423 0.830899i \(-0.312173\pi\)
−0.245158 + 0.969483i \(0.578840\pi\)
\(734\) −16.3964 + 18.2100i −0.605200 + 0.672143i
\(735\) 10.9310 + 25.9086i 0.403197 + 0.955654i
\(736\) 0.0649078 0.0893379i 0.00239253 0.00329304i
\(737\) −5.00581 47.6271i −0.184391 1.75437i
\(738\) 14.8642 + 28.2518i 0.547159 + 1.03996i
\(739\) 32.6490 18.8499i 1.20101 0.693405i 0.240233 0.970715i \(-0.422776\pi\)
0.960781 + 0.277310i \(0.0894429\pi\)
\(740\) 0.510439 0.370855i 0.0187641 0.0136329i
\(741\) 4.48131 + 1.55397i 0.164625 + 0.0570863i
\(742\) −43.2880 + 14.0651i −1.58915 + 0.516347i
\(743\) −0.769278 −0.0282221 −0.0141110 0.999900i \(-0.504492\pi\)
−0.0141110 + 0.999900i \(0.504492\pi\)
\(744\) 8.91147 + 3.68587i 0.326710 + 0.135130i
\(745\) −2.96358 −0.108577
\(746\) −11.5098 + 3.73975i −0.421403 + 0.136922i
\(747\) −26.6438 + 4.57843i −0.974847 + 0.167516i
\(748\) 10.4687 7.60598i 0.382775 0.278102i
\(749\) 2.28521 1.31937i 0.0834997 0.0482086i
\(750\) −1.73172 0.0340008i −0.0632334 0.00124153i
\(751\) −4.53063 43.1061i −0.165325 1.57296i −0.691367 0.722504i \(-0.742991\pi\)
0.526042 0.850459i \(-0.323675\pi\)
\(752\) −0.858397 + 1.18148i −0.0313025 + 0.0430842i
\(753\) 1.37694 0.580941i 0.0501786 0.0211707i
\(754\) −2.03973 + 2.26534i −0.0742824 + 0.0824990i
\(755\) −18.3619 8.17526i −0.668259 0.297528i
\(756\) 24.1506 + 6.64060i 0.878350 + 0.241516i
\(757\) −4.86744 22.8995i −0.176910 0.832297i −0.973663 0.227992i \(-0.926784\pi\)
0.796753 0.604305i \(-0.206549\pi\)
\(758\) −9.06492 20.3601i −0.329253 0.739514i
\(759\) 0.688013 0.132181i 0.0249733 0.00479788i
\(760\) 0.919372 2.82954i 0.0333491 0.102638i
\(761\) 23.0346 10.2556i 0.835002 0.371767i 0.0557247 0.998446i \(-0.482253\pi\)
0.779277 + 0.626679i \(0.215586\pi\)
\(762\) 15.0926 + 17.4386i 0.546748 + 0.631735i
\(763\) −71.2827 15.1516i −2.58061 0.548525i
\(764\) −4.23963 + 9.52237i −0.153385 + 0.344507i
\(765\) −10.2002 + 2.87683i −0.368789 + 0.104012i
\(766\) −4.07719 0.428530i −0.147315 0.0154834i
\(767\) −0.440072 0.319731i −0.0158901 0.0115448i
\(768\) 1.42097 0.990371i 0.0512750 0.0357369i
\(769\) 9.78852 16.9542i 0.352983 0.611384i −0.633788 0.773507i \(-0.718501\pi\)
0.986771 + 0.162123i \(0.0518340\pi\)
\(770\) 8.82819 + 15.2909i 0.318146 + 0.551045i
\(771\) 0.366669 0.781874i 0.0132053 0.0281585i
\(772\) −14.5570 16.1672i −0.523917 0.581869i
\(773\) −10.6110 32.6572i −0.381650