Properties

Label 62.2.d.b.39.2
Level 62
Weight 2
Character 62.39
Analytic conductor 0.495
Analytic rank 0
Dimension 8
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 62 = 2 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 62.d (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.495072492532\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(2\) over \(\Q(\zeta_{5})\)
Coefficient field: 8.0.1903140625.1
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 39.2
Root \(-1.37168 - 0.996583i\)
Character \(\chi\) = 62.39
Dual form 62.2.d.b.35.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.309017 + 0.951057i) q^{2} +(0.523934 + 1.61250i) q^{3} +(-0.809017 - 0.587785i) q^{4} -0.429835 q^{5} -1.69549 q^{6} +(-0.500000 - 0.363271i) q^{7} +(0.809017 - 0.587785i) q^{8} +(0.101388 - 0.0736626i) q^{9} +O(q^{10})\) \(q+(-0.309017 + 0.951057i) q^{2} +(0.523934 + 1.61250i) q^{3} +(-0.809017 - 0.587785i) q^{4} -0.429835 q^{5} -1.69549 q^{6} +(-0.500000 - 0.363271i) q^{7} +(0.809017 - 0.587785i) q^{8} +(0.101388 - 0.0736626i) q^{9} +(0.132826 - 0.408797i) q^{10} +(2.64197 + 1.91950i) q^{11} +(0.523934 - 1.61250i) q^{12} +(-1.77479 - 5.46226i) q^{13} +(0.500000 - 0.363271i) q^{14} +(-0.225205 - 0.693111i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-0.347744 + 0.252651i) q^{17} +(0.0387267 + 0.119189i) q^{18} +(1.48057 - 4.55673i) q^{19} +(0.347744 + 0.252651i) q^{20} +(0.323809 - 0.996583i) q^{21} +(-2.64197 + 1.91950i) q^{22} +(-6.68520 + 4.85708i) q^{23} +(1.37168 + 0.996583i) q^{24} -4.81524 q^{25} +5.74336 q^{26} +(4.28694 + 3.11464i) q^{27} +(0.190983 + 0.587785i) q^{28} +(0.221276 - 0.681017i) q^{29} +0.728780 q^{30} +(3.64011 + 4.21302i) q^{31} -1.00000 q^{32} +(-1.71099 + 5.26588i) q^{33} +(-0.132826 - 0.408797i) q^{34} +(0.214917 + 0.156147i) q^{35} -0.125322 q^{36} -7.66590 q^{37} +(3.87618 + 2.81621i) q^{38} +(7.87804 - 5.72373i) q^{39} +(-0.347744 + 0.252651i) q^{40} +(-1.63283 + 5.02532i) q^{41} +(0.847744 + 0.615922i) q^{42} +(-1.16590 + 3.58828i) q^{43} +(-1.00914 - 3.10582i) q^{44} +(-0.0435801 + 0.0316628i) q^{45} +(-2.55352 - 7.85892i) q^{46} +(-1.50000 - 4.61653i) q^{47} +(-1.37168 + 0.996583i) q^{48} +(-2.04508 - 6.29412i) q^{49} +(1.48799 - 4.57957i) q^{50} +(-0.589595 - 0.428366i) q^{51} +(-1.77479 + 5.46226i) q^{52} +(7.82717 - 5.68677i) q^{53} +(-4.28694 + 3.11464i) q^{54} +(-1.13561 - 0.825069i) q^{55} -0.618034 q^{56} +8.12346 q^{57} +(0.579307 + 0.420891i) q^{58} +(-1.21770 - 3.74770i) q^{59} +(-0.225205 + 0.693111i) q^{60} +7.62704 q^{61} +(-5.13168 + 2.16006i) q^{62} -0.0774535 q^{63} +(0.309017 - 0.951057i) q^{64} +(0.762869 + 2.34787i) q^{65} +(-4.47942 - 3.25449i) q^{66} +1.79123 q^{67} +0.429835 q^{68} +(-11.3347 - 8.23512i) q^{69} +(-0.214917 + 0.156147i) q^{70} +(-9.12890 + 6.63253i) q^{71} +(0.0387267 - 0.119189i) q^{72} +(12.5393 + 9.11034i) q^{73} +(2.36889 - 7.29071i) q^{74} +(-2.52287 - 7.76460i) q^{75} +(-3.87618 + 2.81621i) q^{76} +(-0.623684 - 1.91950i) q^{77} +(3.00914 + 9.26119i) q^{78} +(1.09410 - 0.794910i) q^{79} +(-0.132826 - 0.408797i) q^{80} +(-2.66012 + 8.18701i) q^{81} +(-4.27479 - 3.10582i) q^{82} +(-0.354102 + 1.08981i) q^{83} +(-0.847744 + 0.615922i) q^{84} +(0.149472 - 0.108598i) q^{85} +(-3.05237 - 2.21768i) q^{86} +1.21408 q^{87} +3.26565 q^{88} +(5.66577 + 4.11642i) q^{89} +(-0.0166461 - 0.0512314i) q^{90} +(-1.09688 + 3.37586i) q^{91} +8.26336 q^{92} +(-4.88634 + 8.07705i) q^{93} +4.85410 q^{94} +(-0.636401 + 1.95864i) q^{95} +(-0.523934 - 1.61250i) q^{96} +(7.43156 + 5.39934i) q^{97} +6.61803 q^{98} +0.409259 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q + 2q^{2} - 2q^{3} - 2q^{4} + 2q^{6} - 4q^{7} + 2q^{8} - 12q^{9} + O(q^{10}) \) \( 8q + 2q^{2} - 2q^{3} - 2q^{4} + 2q^{6} - 4q^{7} + 2q^{8} - 12q^{9} - 5q^{10} + 6q^{11} - 2q^{12} + 7q^{13} + 4q^{14} - 23q^{15} - 2q^{16} + 5q^{17} - 3q^{18} - 2q^{19} - 5q^{20} + q^{21} - 6q^{22} - 15q^{23} - 3q^{24} + 16q^{25} + 18q^{26} + 37q^{27} + 6q^{28} - 19q^{29} - 2q^{30} + 13q^{31} - 8q^{32} + 30q^{33} + 5q^{34} + 18q^{36} - 40q^{37} - 3q^{38} + 30q^{39} + 5q^{40} - 7q^{41} - q^{42} + 12q^{43} + q^{44} - 31q^{45} - 20q^{46} - 12q^{47} + 3q^{48} + 6q^{49} + 19q^{50} - 22q^{51} + 7q^{52} + 9q^{53} - 37q^{54} - 13q^{55} + 4q^{56} + 28q^{57} - q^{58} - 18q^{59} - 23q^{60} + 12q^{61} - 3q^{62} + 6q^{63} - 2q^{64} - 16q^{65} + 10q^{66} - 26q^{67} - 50q^{69} - 25q^{71} - 3q^{72} + 35q^{73} - 5q^{74} + 26q^{75} + 3q^{76} - 8q^{77} + 15q^{78} + 6q^{79} + 5q^{80} + 43q^{81} - 13q^{82} + 24q^{83} + q^{84} - q^{85} + 8q^{86} + 8q^{87} + 14q^{88} - 7q^{89} - 4q^{90} - 16q^{91} - 10q^{92} + 3q^{93} + 12q^{94} + 30q^{95} + 2q^{96} + 26q^{97} + 44q^{98} - 46q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/62\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.309017 + 0.951057i −0.218508 + 0.672499i
\(3\) 0.523934 + 1.61250i 0.302494 + 0.930980i 0.980601 + 0.196017i \(0.0628006\pi\)
−0.678107 + 0.734963i \(0.737199\pi\)
\(4\) −0.809017 0.587785i −0.404508 0.293893i
\(5\) −0.429835 −0.192228 −0.0961140 0.995370i \(-0.530641\pi\)
−0.0961140 + 0.995370i \(0.530641\pi\)
\(6\) −1.69549 −0.692180
\(7\) −0.500000 0.363271i −0.188982 0.137304i 0.489271 0.872132i \(-0.337263\pi\)
−0.678253 + 0.734828i \(0.737263\pi\)
\(8\) 0.809017 0.587785i 0.286031 0.207813i
\(9\) 0.101388 0.0736626i 0.0337960 0.0245542i
\(10\) 0.132826 0.408797i 0.0420034 0.129273i
\(11\) 2.64197 + 1.91950i 0.796583 + 0.578752i 0.909910 0.414806i \(-0.136151\pi\)
−0.113326 + 0.993558i \(0.536151\pi\)
\(12\) 0.523934 1.61250i 0.151247 0.465490i
\(13\) −1.77479 5.46226i −0.492239 1.51496i −0.821215 0.570619i \(-0.806703\pi\)
0.328976 0.944338i \(-0.393297\pi\)
\(14\) 0.500000 0.363271i 0.133631 0.0970883i
\(15\) −0.225205 0.693111i −0.0581478 0.178960i
\(16\) 0.309017 + 0.951057i 0.0772542 + 0.237764i
\(17\) −0.347744 + 0.252651i −0.0843402 + 0.0612768i −0.629156 0.777279i \(-0.716599\pi\)
0.544816 + 0.838556i \(0.316599\pi\)
\(18\) 0.0387267 + 0.119189i 0.00912798 + 0.0280930i
\(19\) 1.48057 4.55673i 0.339666 1.04538i −0.624712 0.780856i \(-0.714783\pi\)
0.964378 0.264529i \(-0.0852165\pi\)
\(20\) 0.347744 + 0.252651i 0.0777579 + 0.0564944i
\(21\) 0.323809 0.996583i 0.0706610 0.217472i
\(22\) −2.64197 + 1.91950i −0.563270 + 0.409239i
\(23\) −6.68520 + 4.85708i −1.39396 + 1.01277i −0.398543 + 0.917150i \(0.630484\pi\)
−0.995418 + 0.0956218i \(0.969516\pi\)
\(24\) 1.37168 + 0.996583i 0.279993 + 0.203427i
\(25\) −4.81524 −0.963048
\(26\) 5.74336 1.12636
\(27\) 4.28694 + 3.11464i 0.825021 + 0.599413i
\(28\) 0.190983 + 0.587785i 0.0360924 + 0.111081i
\(29\) 0.221276 0.681017i 0.0410899 0.126462i −0.928407 0.371564i \(-0.878822\pi\)
0.969497 + 0.245102i \(0.0788216\pi\)
\(30\) 0.728780 0.133056
\(31\) 3.64011 + 4.21302i 0.653784 + 0.756681i
\(32\) −1.00000 −0.176777
\(33\) −1.71099 + 5.26588i −0.297845 + 0.916672i
\(34\) −0.132826 0.408797i −0.0227795 0.0701082i
\(35\) 0.214917 + 0.156147i 0.0363277 + 0.0263936i
\(36\) −0.125322 −0.0208871
\(37\) −7.66590 −1.26027 −0.630133 0.776487i \(-0.717000\pi\)
−0.630133 + 0.776487i \(0.717000\pi\)
\(38\) 3.87618 + 2.81621i 0.628800 + 0.456850i
\(39\) 7.87804 5.72373i 1.26150 0.916530i
\(40\) −0.347744 + 0.252651i −0.0549831 + 0.0399476i
\(41\) −1.63283 + 5.02532i −0.255005 + 0.784824i 0.738824 + 0.673898i \(0.235381\pi\)
−0.993829 + 0.110925i \(0.964619\pi\)
\(42\) 0.847744 + 0.615922i 0.130810 + 0.0950388i
\(43\) −1.16590 + 3.58828i −0.177799 + 0.547208i −0.999750 0.0223496i \(-0.992885\pi\)
0.821952 + 0.569557i \(0.192885\pi\)
\(44\) −1.00914 3.10582i −0.152134 0.468220i
\(45\) −0.0435801 + 0.0316628i −0.00649653 + 0.00472001i
\(46\) −2.55352 7.85892i −0.376496 1.15874i
\(47\) −1.50000 4.61653i −0.218797 0.673389i −0.998862 0.0476905i \(-0.984814\pi\)
0.780065 0.625699i \(-0.215186\pi\)
\(48\) −1.37168 + 0.996583i −0.197985 + 0.143844i
\(49\) −2.04508 6.29412i −0.292155 0.899161i
\(50\) 1.48799 4.57957i 0.210434 0.647649i
\(51\) −0.589595 0.428366i −0.0825598 0.0599832i
\(52\) −1.77479 + 5.46226i −0.246120 + 0.757479i
\(53\) 7.82717 5.68677i 1.07514 0.781138i 0.0983144 0.995155i \(-0.468655\pi\)
0.976830 + 0.214017i \(0.0686549\pi\)
\(54\) −4.28694 + 3.11464i −0.583378 + 0.423849i
\(55\) −1.13561 0.825069i −0.153126 0.111252i
\(56\) −0.618034 −0.0825883
\(57\) 8.12346 1.07598
\(58\) 0.579307 + 0.420891i 0.0760668 + 0.0552657i
\(59\) −1.21770 3.74770i −0.158531 0.487909i 0.839970 0.542632i \(-0.182572\pi\)
−0.998502 + 0.0547234i \(0.982572\pi\)
\(60\) −0.225205 + 0.693111i −0.0290739 + 0.0894802i
\(61\) 7.62704 0.976543 0.488271 0.872692i \(-0.337628\pi\)
0.488271 + 0.872692i \(0.337628\pi\)
\(62\) −5.13168 + 2.16006i −0.651724 + 0.274328i
\(63\) −0.0774535 −0.00975822
\(64\) 0.309017 0.951057i 0.0386271 0.118882i
\(65\) 0.762869 + 2.34787i 0.0946222 + 0.291217i
\(66\) −4.47942 3.25449i −0.551379 0.400600i
\(67\) 1.79123 0.218833 0.109416 0.993996i \(-0.465102\pi\)
0.109416 + 0.993996i \(0.465102\pi\)
\(68\) 0.429835 0.0521251
\(69\) −11.3347 8.23512i −1.36453 0.991392i
\(70\) −0.214917 + 0.156147i −0.0256875 + 0.0186631i
\(71\) −9.12890 + 6.63253i −1.08340 + 0.787137i −0.978273 0.207322i \(-0.933525\pi\)
−0.105128 + 0.994459i \(0.533525\pi\)
\(72\) 0.0387267 0.119189i 0.00456399 0.0140465i
\(73\) 12.5393 + 9.11034i 1.46761 + 1.06628i 0.981297 + 0.192502i \(0.0616602\pi\)
0.486318 + 0.873782i \(0.338340\pi\)
\(74\) 2.36889 7.29071i 0.275378 0.847527i
\(75\) −2.52287 7.76460i −0.291316 0.896579i
\(76\) −3.87618 + 2.81621i −0.444629 + 0.323042i
\(77\) −0.623684 1.91950i −0.0710754 0.218748i
\(78\) 3.00914 + 9.26119i 0.340718 + 1.04862i
\(79\) 1.09410 0.794910i 0.123096 0.0894343i −0.524534 0.851390i \(-0.675760\pi\)
0.647630 + 0.761955i \(0.275760\pi\)
\(80\) −0.132826 0.408797i −0.0148504 0.0457049i
\(81\) −2.66012 + 8.18701i −0.295569 + 0.909667i
\(82\) −4.27479 3.10582i −0.472072 0.342980i
\(83\) −0.354102 + 1.08981i −0.0388677 + 0.119623i −0.968608 0.248594i \(-0.920032\pi\)
0.929740 + 0.368217i \(0.120032\pi\)
\(84\) −0.847744 + 0.615922i −0.0924964 + 0.0672026i
\(85\) 0.149472 0.108598i 0.0162126 0.0117791i
\(86\) −3.05237 2.21768i −0.329146 0.239138i
\(87\) 1.21408 0.130163
\(88\) 3.26565 0.348120
\(89\) 5.66577 + 4.11642i 0.600570 + 0.436340i 0.846081 0.533054i \(-0.178956\pi\)
−0.245511 + 0.969394i \(0.578956\pi\)
\(90\) −0.0166461 0.0512314i −0.00175465 0.00540027i
\(91\) −1.09688 + 3.37586i −0.114985 + 0.353886i
\(92\) 8.26336 0.861515
\(93\) −4.88634 + 8.07705i −0.506690 + 0.837551i
\(94\) 4.85410 0.500662
\(95\) −0.636401 + 1.95864i −0.0652933 + 0.200952i
\(96\) −0.523934 1.61250i −0.0534738 0.164576i
\(97\) 7.43156 + 5.39934i 0.754560 + 0.548220i 0.897237 0.441549i \(-0.145571\pi\)
−0.142677 + 0.989769i \(0.545571\pi\)
\(98\) 6.61803 0.668522
\(99\) 0.409259 0.0411321
\(100\) 3.89561 + 2.83033i 0.389561 + 0.283033i
\(101\) 10.2914 7.47717i 1.02404 0.744006i 0.0569302 0.998378i \(-0.481869\pi\)
0.967106 + 0.254372i \(0.0818688\pi\)
\(102\) 0.589595 0.428366i 0.0583786 0.0424145i
\(103\) −1.49258 + 4.59368i −0.147068 + 0.452629i −0.997271 0.0738258i \(-0.976479\pi\)
0.850203 + 0.526455i \(0.176479\pi\)
\(104\) −4.64647 3.37586i −0.455624 0.331030i
\(105\) −0.139185 + 0.428366i −0.0135830 + 0.0418042i
\(106\) 2.98971 + 9.20139i 0.290387 + 0.893718i
\(107\) −9.66462 + 7.02176i −0.934314 + 0.678819i −0.947045 0.321100i \(-0.895948\pi\)
0.0127309 + 0.999919i \(0.495948\pi\)
\(108\) −1.63746 5.03960i −0.157565 0.484935i
\(109\) 0.340455 + 1.04781i 0.0326097 + 0.100362i 0.966037 0.258405i \(-0.0831970\pi\)
−0.933427 + 0.358768i \(0.883197\pi\)
\(110\) 1.13561 0.825069i 0.108276 0.0786673i
\(111\) −4.01643 12.3613i −0.381223 1.17328i
\(112\) 0.190983 0.587785i 0.0180462 0.0555405i
\(113\) −13.7079 9.95934i −1.28953 0.936896i −0.289731 0.957108i \(-0.593566\pi\)
−0.999796 + 0.0202123i \(0.993566\pi\)
\(114\) −2.51029 + 7.72587i −0.235110 + 0.723594i
\(115\) 2.87353 2.08774i 0.267958 0.194683i
\(116\) −0.579307 + 0.420891i −0.0537873 + 0.0390788i
\(117\) −0.582307 0.423071i −0.0538343 0.0391129i
\(118\) 3.94056 0.362758
\(119\) 0.265653 0.0243523
\(120\) −0.589595 0.428366i −0.0538224 0.0391043i
\(121\) −0.103679 0.319092i −0.00942539 0.0290084i
\(122\) −2.35689 + 7.25375i −0.213382 + 0.656724i
\(123\) −8.95885 −0.807792
\(124\) −0.468562 5.54801i −0.0420781 0.498226i
\(125\) 4.21893 0.377353
\(126\) 0.0239344 0.0736626i 0.00213225 0.00656239i
\(127\) −3.77201 11.6091i −0.334712 1.03014i −0.966864 0.255293i \(-0.917828\pi\)
0.632152 0.774844i \(-0.282172\pi\)
\(128\) 0.809017 + 0.587785i 0.0715077 + 0.0519534i
\(129\) −6.39697 −0.563222
\(130\) −2.46869 −0.216519
\(131\) −13.3260 9.68192i −1.16430 0.845913i −0.173984 0.984748i \(-0.555664\pi\)
−0.990316 + 0.138835i \(0.955664\pi\)
\(132\) 4.47942 3.25449i 0.389884 0.283267i
\(133\) −2.39561 + 1.74051i −0.207726 + 0.150922i
\(134\) −0.553519 + 1.70356i −0.0478168 + 0.147165i
\(135\) −1.84267 1.33878i −0.158592 0.115224i
\(136\) −0.132826 + 0.408797i −0.0113898 + 0.0350541i
\(137\) 5.45478 + 16.7881i 0.466033 + 1.43430i 0.857678 + 0.514187i \(0.171906\pi\)
−0.391645 + 0.920117i \(0.628094\pi\)
\(138\) 11.3347 8.23512i 0.964871 0.701020i
\(139\) −0.0552905 0.170167i −0.00468968 0.0144333i 0.948684 0.316225i \(-0.102415\pi\)
−0.953374 + 0.301791i \(0.902415\pi\)
\(140\) −0.0820912 0.252651i −0.00693797 0.0213529i
\(141\) 6.65827 4.83751i 0.560727 0.407392i
\(142\) −3.48693 10.7317i −0.292617 0.900581i
\(143\) 5.79586 17.8378i 0.484674 1.49167i
\(144\) 0.101388 + 0.0736626i 0.00844899 + 0.00613855i
\(145\) −0.0951120 + 0.292725i −0.00789862 + 0.0243095i
\(146\) −12.5393 + 9.11034i −1.03776 + 0.753977i
\(147\) 9.07781 6.59542i 0.748725 0.543981i
\(148\) 6.20185 + 4.50590i 0.509789 + 0.370383i
\(149\) −8.79467 −0.720487 −0.360244 0.932858i \(-0.617306\pi\)
−0.360244 + 0.932858i \(0.617306\pi\)
\(150\) 8.16418 0.666603
\(151\) 17.9946 + 13.0738i 1.46438 + 1.06393i 0.982195 + 0.187862i \(0.0601557\pi\)
0.482182 + 0.876071i \(0.339844\pi\)
\(152\) −1.48057 4.55673i −0.120090 0.369599i
\(153\) −0.0166461 + 0.0512314i −0.00134576 + 0.00414182i
\(154\) 2.01828 0.162638
\(155\) −1.56465 1.81090i −0.125676 0.145455i
\(156\) −9.73779 −0.779647
\(157\) 3.63168 11.1772i 0.289840 0.892035i −0.695066 0.718945i \(-0.744625\pi\)
0.984906 0.173089i \(-0.0553749\pi\)
\(158\) 0.417909 + 1.28619i 0.0332470 + 0.102324i
\(159\) 13.2709 + 9.64185i 1.05245 + 0.764648i
\(160\) 0.429835 0.0339814
\(161\) 5.10704 0.402491
\(162\) −6.96428 5.05985i −0.547166 0.397539i
\(163\) −4.84660 + 3.52126i −0.379615 + 0.275806i −0.761187 0.648533i \(-0.775383\pi\)
0.381572 + 0.924339i \(0.375383\pi\)
\(164\) 4.27479 3.10582i 0.333805 0.242524i
\(165\) 0.735442 2.26346i 0.0572541 0.176210i
\(166\) −0.927051 0.673542i −0.0719531 0.0522770i
\(167\) −2.69270 + 8.28729i −0.208368 + 0.641290i 0.791191 + 0.611570i \(0.209462\pi\)
−0.999558 + 0.0297201i \(0.990538\pi\)
\(168\) −0.323809 0.996583i −0.0249824 0.0768880i
\(169\) −16.1691 + 11.7476i −1.24378 + 0.903658i
\(170\) 0.0570934 + 0.175715i 0.00437886 + 0.0134768i
\(171\) −0.185548 0.571059i −0.0141892 0.0436700i
\(172\) 3.05237 2.21768i 0.232741 0.169096i
\(173\) 5.13446 + 15.8023i 0.390366 + 1.20142i 0.932512 + 0.361139i \(0.117612\pi\)
−0.542146 + 0.840284i \(0.682388\pi\)
\(174\) −0.375170 + 1.15465i −0.0284416 + 0.0875342i
\(175\) 2.40762 + 1.74924i 0.181999 + 0.132230i
\(176\) −1.00914 + 3.10582i −0.0760670 + 0.234110i
\(177\) 5.40519 3.92710i 0.406279 0.295179i
\(178\) −5.66577 + 4.11642i −0.424667 + 0.308539i
\(179\) −0.668553 0.485733i −0.0499700 0.0363054i 0.562520 0.826784i \(-0.309832\pi\)
−0.612490 + 0.790478i \(0.709832\pi\)
\(180\) 0.0538679 0.00401508
\(181\) −12.7729 −0.949405 −0.474703 0.880146i \(-0.657444\pi\)
−0.474703 + 0.880146i \(0.657444\pi\)
\(182\) −2.87168 2.08640i −0.212863 0.154654i
\(183\) 3.99607 + 12.2986i 0.295398 + 0.909142i
\(184\) −2.55352 + 7.85892i −0.188248 + 0.579368i
\(185\) 3.29507 0.242259
\(186\) −6.17177 7.14313i −0.452536 0.523760i
\(187\) −1.40369 −0.102648
\(188\) −1.50000 + 4.61653i −0.109399 + 0.336695i
\(189\) −1.01201 3.11464i −0.0736128 0.226557i
\(190\) −1.66612 1.21051i −0.120873 0.0878193i
\(191\) 3.90568 0.282605 0.141302 0.989966i \(-0.454871\pi\)
0.141302 + 0.989966i \(0.454871\pi\)
\(192\) 1.69549 0.122361
\(193\) 1.92241 + 1.39672i 0.138378 + 0.100538i 0.654821 0.755784i \(-0.272744\pi\)
−0.516443 + 0.856322i \(0.672744\pi\)
\(194\) −7.43156 + 5.39934i −0.533555 + 0.387650i
\(195\) −3.38625 + 2.46026i −0.242495 + 0.176183i
\(196\) −2.04508 + 6.29412i −0.146077 + 0.449580i
\(197\) 8.57781 + 6.23215i 0.611144 + 0.444022i 0.849817 0.527078i \(-0.176712\pi\)
−0.238673 + 0.971100i \(0.576712\pi\)
\(198\) −0.126468 + 0.389229i −0.00898769 + 0.0276613i
\(199\) −1.47956 4.55361i −0.104883 0.322797i 0.884820 0.465933i \(-0.154281\pi\)
−0.989703 + 0.143136i \(0.954281\pi\)
\(200\) −3.89561 + 2.83033i −0.275461 + 0.200134i
\(201\) 0.938485 + 2.88836i 0.0661956 + 0.203729i
\(202\) 3.93098 + 12.0983i 0.276583 + 0.851234i
\(203\) −0.358032 + 0.260125i −0.0251289 + 0.0182572i
\(204\) 0.225205 + 0.693111i 0.0157675 + 0.0485275i
\(205\) 0.701846 2.16006i 0.0490190 0.150865i
\(206\) −3.90762 2.83905i −0.272257 0.197806i
\(207\) −0.320013 + 0.984899i −0.0222424 + 0.0684552i
\(208\) 4.64647 3.37586i 0.322175 0.234074i
\(209\) 12.6583 9.19677i 0.875591 0.636154i
\(210\) −0.364390 0.264745i −0.0251453 0.0182691i
\(211\) 27.1392 1.86834 0.934169 0.356830i \(-0.116142\pi\)
0.934169 + 0.356830i \(0.116142\pi\)
\(212\) −9.67491 −0.664476
\(213\) −15.4779 11.2454i −1.06053 0.770520i
\(214\) −3.69156 11.3614i −0.252350 0.776653i
\(215\) 0.501146 1.54237i 0.0341779 0.105189i
\(216\) 5.29894 0.360548
\(217\) −0.289587 3.42886i −0.0196584 0.232766i
\(218\) −1.10174 −0.0746190
\(219\) −8.12068 + 24.9929i −0.548745 + 1.68886i
\(220\) 0.433764 + 1.33499i 0.0292444 + 0.0900050i
\(221\) 1.99722 + 1.45106i 0.134347 + 0.0976090i
\(222\) 12.9974 0.872331
\(223\) −6.05016 −0.405149 −0.202574 0.979267i \(-0.564931\pi\)
−0.202574 + 0.979267i \(0.564931\pi\)
\(224\) 0.500000 + 0.363271i 0.0334077 + 0.0242721i
\(225\) −0.488207 + 0.354703i −0.0325471 + 0.0236469i
\(226\) 13.7079 9.95934i 0.911833 0.662485i
\(227\) 8.05873 24.8022i 0.534877 1.64618i −0.209038 0.977907i \(-0.567033\pi\)
0.743915 0.668274i \(-0.232967\pi\)
\(228\) −6.57202 4.77485i −0.435243 0.316222i
\(229\) 4.89769 15.0735i 0.323648 0.996087i −0.648399 0.761301i \(-0.724561\pi\)
0.972047 0.234786i \(-0.0754390\pi\)
\(230\) 1.09759 + 3.37804i 0.0723730 + 0.222741i
\(231\) 2.76844 2.01139i 0.182150 0.132340i
\(232\) −0.221276 0.681017i −0.0145275 0.0447109i
\(233\) −7.78672 23.9651i −0.510125 1.57000i −0.791980 0.610547i \(-0.790950\pi\)
0.281855 0.959457i \(-0.409050\pi\)
\(234\) 0.582307 0.423071i 0.0380666 0.0276570i
\(235\) 0.644752 + 1.98434i 0.0420590 + 0.129444i
\(236\) −1.21770 + 3.74770i −0.0792656 + 0.243954i
\(237\) 1.85503 + 1.34776i 0.120497 + 0.0875464i
\(238\) −0.0820912 + 0.252651i −0.00532118 + 0.0163769i
\(239\) −2.65226 + 1.92698i −0.171560 + 0.124646i −0.670252 0.742134i \(-0.733814\pi\)
0.498692 + 0.866779i \(0.333814\pi\)
\(240\) 0.589595 0.428366i 0.0380582 0.0276509i
\(241\) −6.18035 4.49028i −0.398111 0.289245i 0.370660 0.928769i \(-0.379131\pi\)
−0.768771 + 0.639524i \(0.779131\pi\)
\(242\) 0.335513 0.0215676
\(243\) 1.30152 0.0834928
\(244\) −6.17041 4.48306i −0.395020 0.286999i
\(245\) 0.879049 + 2.70543i 0.0561604 + 0.172844i
\(246\) 2.76844 8.52037i 0.176509 0.543239i
\(247\) −27.5177 −1.75091
\(248\) 5.42127 + 1.26880i 0.344251 + 0.0805690i
\(249\) −1.94286 −0.123123
\(250\) −1.30372 + 4.01244i −0.0824546 + 0.253769i
\(251\) 4.27206 + 13.1481i 0.269650 + 0.829898i 0.990585 + 0.136895i \(0.0437125\pi\)
−0.720935 + 0.693002i \(0.756288\pi\)
\(252\) 0.0626612 + 0.0455260i 0.00394728 + 0.00286787i
\(253\) −26.9853 −1.69655
\(254\) 12.2065 0.765903
\(255\) 0.253429 + 0.184127i 0.0158703 + 0.0115305i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) 3.18798 2.31621i 0.198861 0.144481i −0.483899 0.875124i \(-0.660780\pi\)
0.682760 + 0.730643i \(0.260780\pi\)
\(258\) 1.97677 6.08388i 0.123069 0.378766i
\(259\) 3.83295 + 2.78480i 0.238168 + 0.173039i
\(260\) 0.762869 2.34787i 0.0473111 0.145609i
\(261\) −0.0277308 0.0853466i −0.00171649 0.00528282i
\(262\) 13.3260 9.68192i 0.823284 0.598151i
\(263\) 0.583729 + 1.79653i 0.0359943 + 0.110779i 0.967439 0.253103i \(-0.0814511\pi\)
−0.931445 + 0.363882i \(0.881451\pi\)
\(264\) 1.71099 + 5.26588i 0.105304 + 0.324092i
\(265\) −3.36439 + 2.44437i −0.206673 + 0.150157i
\(266\) −0.915043 2.81621i −0.0561049 0.172673i
\(267\) −3.66926 + 11.2928i −0.224555 + 0.691109i
\(268\) −1.44913 1.05286i −0.0885198 0.0643134i
\(269\) −3.05516 + 9.40281i −0.186276 + 0.573299i −0.999968 0.00799727i \(-0.997454\pi\)
0.813692 + 0.581297i \(0.197454\pi\)
\(270\) 1.84267 1.33878i 0.112142 0.0814757i
\(271\) 6.16333 4.47792i 0.374396 0.272015i −0.384636 0.923069i \(-0.625673\pi\)
0.759031 + 0.651054i \(0.225673\pi\)
\(272\) −0.347744 0.252651i −0.0210851 0.0153192i
\(273\) −6.01828 −0.364243
\(274\) −17.6520 −1.06640
\(275\) −12.7217 9.24287i −0.767148 0.557366i
\(276\) 4.32946 + 13.3247i 0.260603 + 0.802053i
\(277\) −1.25271 + 3.85546i −0.0752683 + 0.231652i −0.981611 0.190891i \(-0.938862\pi\)
0.906343 + 0.422543i \(0.138862\pi\)
\(278\) 0.178924 0.0107311
\(279\) 0.679406 + 0.159009i 0.0406750 + 0.00951963i
\(280\) 0.265653 0.0158758
\(281\) 7.44171 22.9032i 0.443935 1.36629i −0.439712 0.898139i \(-0.644920\pi\)
0.883647 0.468153i \(-0.155080\pi\)
\(282\) 2.54323 + 7.82726i 0.151447 + 0.466107i
\(283\) −17.3792 12.6267i −1.03309 0.750581i −0.0641618 0.997940i \(-0.520437\pi\)
−0.968924 + 0.247359i \(0.920437\pi\)
\(284\) 11.2839 0.669578
\(285\) −3.49175 −0.206833
\(286\) 15.1738 + 11.0244i 0.897244 + 0.651886i
\(287\) 2.64197 1.91950i 0.155950 0.113305i
\(288\) −0.101388 + 0.0736626i −0.00597434 + 0.00434061i
\(289\) −5.19620 + 15.9922i −0.305659 + 0.940720i
\(290\) −0.249006 0.180914i −0.0146222 0.0106236i
\(291\) −4.81281 + 14.8123i −0.282132 + 0.868313i
\(292\) −4.78959 14.7408i −0.280289 0.862642i
\(293\) 19.2400 13.9787i 1.12401 0.816643i 0.139200 0.990264i \(-0.455547\pi\)
0.984813 + 0.173621i \(0.0555468\pi\)
\(294\) 3.46742 + 10.6716i 0.202224 + 0.622381i
\(295\) 0.523411 + 1.61089i 0.0304741 + 0.0937898i
\(296\) −6.20185 + 4.50590i −0.360475 + 0.261900i
\(297\) 5.34739 + 16.4576i 0.310287 + 0.954965i
\(298\) 2.71770 8.36422i 0.157432 0.484527i
\(299\) 38.3955 + 27.8960i 2.22047 + 1.61326i
\(300\) −2.52287 + 7.76460i −0.145658 + 0.448289i
\(301\) 1.88647 1.37060i 0.108734 0.0790001i
\(302\) −17.9946 + 13.0738i −1.03547 + 0.752314i
\(303\) 17.4490 + 12.6774i 1.00242 + 0.728300i
\(304\) 4.79123 0.274796
\(305\) −3.27837 −0.187719
\(306\) −0.0435801 0.0316628i −0.00249131 0.00181004i
\(307\) 1.80208 + 5.54624i 0.102850 + 0.316541i 0.989220 0.146438i \(-0.0467807\pi\)
−0.886370 + 0.462978i \(0.846781\pi\)
\(308\) −0.623684 + 1.91950i −0.0355377 + 0.109374i
\(309\) −8.18935 −0.465876
\(310\) 2.20578 0.928469i 0.125280 0.0527335i
\(311\) −19.6909 −1.11657 −0.558284 0.829650i \(-0.688540\pi\)
−0.558284 + 0.829650i \(0.688540\pi\)
\(312\) 3.00914 9.26119i 0.170359 0.524311i
\(313\) −9.83923 30.2820i −0.556146 1.71164i −0.692898 0.721036i \(-0.743666\pi\)
0.136752 0.990605i \(-0.456334\pi\)
\(314\) 9.50786 + 6.90787i 0.536560 + 0.389833i
\(315\) 0.0332922 0.00187580
\(316\) −1.35238 −0.0760774
\(317\) 19.2452 + 13.9825i 1.08092 + 0.785334i 0.977843 0.209340i \(-0.0671314\pi\)
0.103076 + 0.994673i \(0.467131\pi\)
\(318\) −13.2709 + 9.64185i −0.744193 + 0.540688i
\(319\) 1.89182 1.37448i 0.105921 0.0769564i
\(320\) −0.132826 + 0.408797i −0.00742521 + 0.0228525i
\(321\) −16.3862 11.9053i −0.914591 0.664489i
\(322\) −1.57816 + 4.85708i −0.0879475 + 0.270675i
\(323\) 0.636401 + 1.95864i 0.0354103 + 0.108982i
\(324\) 6.96428 5.05985i 0.386905 0.281103i
\(325\) 8.54607 + 26.3021i 0.474050 + 1.45898i
\(326\) −1.85124 5.69752i −0.102530 0.315556i
\(327\) −1.51123 + 1.09797i −0.0835711 + 0.0607180i
\(328\) 1.63283 + 5.02532i 0.0901577 + 0.277477i
\(329\) −0.927051 + 2.85317i −0.0511100 + 0.157300i
\(330\) 1.92541 + 1.39889i 0.105990 + 0.0770066i
\(331\) 8.35233 25.7058i 0.459086 1.41292i −0.407185 0.913346i \(-0.633490\pi\)
0.866271 0.499575i \(-0.166510\pi\)
\(332\) 0.927051 0.673542i 0.0508785 0.0369654i
\(333\) −0.777230 + 0.564690i −0.0425919 + 0.0309448i
\(334\) −7.04959 5.12183i −0.385736 0.280254i
\(335\) −0.769931 −0.0420658
\(336\) 1.04787 0.0571659
\(337\) −7.25086 5.26806i −0.394980 0.286969i 0.372513 0.928027i \(-0.378496\pi\)
−0.767493 + 0.641057i \(0.778496\pi\)
\(338\) −6.17606 19.0080i −0.335933 1.03390i
\(339\) 8.87746 27.3220i 0.482158 1.48393i
\(340\) −0.184758 −0.0100199
\(341\) 1.53016 + 18.1179i 0.0828628 + 0.981138i
\(342\) 0.600447 0.0324685
\(343\) −2.60081 + 8.00448i −0.140431 + 0.432201i
\(344\) 1.16590 + 3.58828i 0.0628613 + 0.193467i
\(345\) 4.87204 + 3.53974i 0.262302 + 0.190573i
\(346\) −16.6155 −0.893254
\(347\) 4.69778 0.252190 0.126095 0.992018i \(-0.459756\pi\)
0.126095 + 0.992018i \(0.459756\pi\)
\(348\) −0.982208 0.713616i −0.0526519 0.0382538i
\(349\) −14.0532 + 10.2102i −0.752249 + 0.546541i −0.896523 0.442997i \(-0.853915\pi\)
0.144274 + 0.989538i \(0.453915\pi\)
\(350\) −2.40762 + 1.74924i −0.128693 + 0.0935008i
\(351\) 9.40454 28.9442i 0.501977 1.54493i
\(352\) −2.64197 1.91950i −0.140817 0.102310i
\(353\) −0.188688 + 0.580721i −0.0100428 + 0.0309087i −0.955952 0.293522i \(-0.905173\pi\)
0.945910 + 0.324431i \(0.105173\pi\)
\(354\) 2.06460 + 6.35418i 0.109732 + 0.337721i
\(355\) 3.92392 2.85089i 0.208260 0.151310i
\(356\) −2.16413 6.66051i −0.114699 0.353006i
\(357\) 0.139185 + 0.428366i 0.00736643 + 0.0226715i
\(358\) 0.668553 0.485733i 0.0353341 0.0256718i
\(359\) 4.76565 + 14.6672i 0.251522 + 0.774104i 0.994495 + 0.104783i \(0.0334148\pi\)
−0.742974 + 0.669321i \(0.766585\pi\)
\(360\) −0.0166461 + 0.0512314i −0.000877326 + 0.00270013i
\(361\) −3.20034 2.32518i −0.168439 0.122378i
\(362\) 3.94706 12.1478i 0.207453 0.638474i
\(363\) 0.460216 0.334367i 0.0241551 0.0175497i
\(364\) 2.87168 2.08640i 0.150517 0.109357i
\(365\) −5.38983 3.91594i −0.282117 0.204970i
\(366\) −12.9316 −0.675943
\(367\) −15.4481 −0.806385 −0.403193 0.915115i \(-0.632100\pi\)
−0.403193 + 0.915115i \(0.632100\pi\)
\(368\) −6.68520 4.85708i −0.348490 0.253193i
\(369\) 0.204630 + 0.629785i 0.0106526 + 0.0327853i
\(370\) −1.01823 + 3.13380i −0.0529354 + 0.162919i
\(371\) −5.97942 −0.310436
\(372\) 8.70070 3.66235i 0.451110 0.189884i
\(373\) 27.9325 1.44629 0.723146 0.690695i \(-0.242695\pi\)
0.723146 + 0.690695i \(0.242695\pi\)
\(374\) 0.433764 1.33499i 0.0224294 0.0690307i
\(375\) 2.21044 + 6.80305i 0.114147 + 0.351308i
\(376\) −3.92705 2.85317i −0.202522 0.147141i
\(377\) −4.11261 −0.211810
\(378\) 3.27493 0.168444
\(379\) 25.1985 + 18.3078i 1.29436 + 0.940407i 0.999884 0.0152517i \(-0.00485495\pi\)
0.294476 + 0.955659i \(0.404855\pi\)
\(380\) 1.66612 1.21051i 0.0854701 0.0620976i
\(381\) 16.7434 12.1648i 0.857789 0.623220i
\(382\) −1.20692 + 3.71452i −0.0617515 + 0.190051i
\(383\) −5.65226 4.10660i −0.288817 0.209838i 0.433937 0.900943i \(-0.357124\pi\)
−0.722754 + 0.691105i \(0.757124\pi\)
\(384\) −0.523934 + 1.61250i −0.0267369 + 0.0822878i
\(385\) 0.268081 + 0.825069i 0.0136627 + 0.0420494i
\(386\) −1.92241 + 1.39672i −0.0978483 + 0.0710909i
\(387\) 0.146114 + 0.449692i 0.00742737 + 0.0228591i
\(388\) −2.83860 8.73632i −0.144108 0.443519i
\(389\) −20.8395 + 15.1408i −1.05661 + 0.767669i −0.973458 0.228868i \(-0.926498\pi\)
−0.0831489 + 0.996537i \(0.526498\pi\)
\(390\) −1.29343 3.98078i −0.0654956 0.201575i
\(391\) 1.09759 3.37804i 0.0555076 0.170835i
\(392\) −5.35410 3.88998i −0.270423 0.196474i
\(393\) 8.63018 26.5610i 0.435335 1.33982i
\(394\) −8.57781 + 6.23215i −0.432144 + 0.313971i
\(395\) −0.470282 + 0.341680i −0.0236625 + 0.0171918i
\(396\) −0.331098 0.240557i −0.0166383 0.0120884i
\(397\) −17.0622 −0.856326 −0.428163 0.903701i \(-0.640839\pi\)
−0.428163 + 0.903701i \(0.640839\pi\)
\(398\) 4.78795 0.239998
\(399\) −4.06173 2.95102i −0.203341 0.147736i
\(400\) −1.48799 4.57957i −0.0743996 0.228978i
\(401\) 1.85803 5.71843i 0.0927857 0.285565i −0.893885 0.448297i \(-0.852031\pi\)
0.986670 + 0.162732i \(0.0520307\pi\)
\(402\) −3.03700 −0.151472
\(403\) 16.5522 27.3605i 0.824522 1.36292i
\(404\) −12.7209 −0.632889
\(405\) 1.14341 3.51906i 0.0568166 0.174864i
\(406\) −0.136756 0.420891i −0.00678708 0.0208885i
\(407\) −20.2531 14.7147i −1.00391 0.729382i
\(408\) −0.728780 −0.0360800
\(409\) −1.83750 −0.0908585 −0.0454293 0.998968i \(-0.514466\pi\)
−0.0454293 + 0.998968i \(0.514466\pi\)
\(410\) 1.83746 + 1.33499i 0.0907455 + 0.0659304i
\(411\) −24.2129 + 17.5917i −1.19434 + 0.867736i
\(412\) 3.90762 2.83905i 0.192515 0.139870i
\(413\) −0.752581 + 2.31621i −0.0370321 + 0.113973i
\(414\) −0.837805 0.608701i −0.0411759 0.0299160i
\(415\) 0.152205 0.468440i 0.00747147 0.0229948i
\(416\) 1.77479 + 5.46226i 0.0870165 + 0.267809i
\(417\) 0.245426 0.178312i 0.0120186 0.00873199i
\(418\) 4.83503 + 14.8807i 0.236489 + 0.727838i
\(419\) −4.19027 12.8963i −0.204708 0.630027i −0.999725 0.0234402i \(-0.992538\pi\)
0.795017 0.606587i \(-0.207462\pi\)
\(420\) 0.364390 0.264745i 0.0177804 0.0129182i
\(421\) 2.49872 + 7.69027i 0.121780 + 0.374801i 0.993301 0.115558i \(-0.0368656\pi\)
−0.871521 + 0.490359i \(0.836866\pi\)
\(422\) −8.38647 + 25.8109i −0.408247 + 1.25646i
\(423\) −0.492147 0.357566i −0.0239290 0.0173854i
\(424\) 2.98971 9.20139i 0.145193 0.446859i
\(425\) 1.67447 1.21657i 0.0812237 0.0590125i
\(426\) 15.4779 11.2454i 0.749908 0.544840i
\(427\) −3.81352 2.77069i −0.184549 0.134083i
\(428\) 11.9461 0.577438
\(429\) 31.8002 1.53533
\(430\) 1.31202 + 0.953236i 0.0632711 + 0.0459691i
\(431\) 0.383029 + 1.17884i 0.0184499 + 0.0567829i 0.959858 0.280488i \(-0.0904962\pi\)
−0.941408 + 0.337271i \(0.890496\pi\)
\(432\) −1.63746 + 5.03960i −0.0787825 + 0.242468i
\(433\) 24.7871 1.19119 0.595595 0.803285i \(-0.296916\pi\)
0.595595 + 0.803285i \(0.296916\pi\)
\(434\) 3.35053 + 0.784163i 0.160830 + 0.0376410i
\(435\) −0.521852 −0.0250209
\(436\) 0.340455 1.04781i 0.0163049 0.0501812i
\(437\) 12.2345 + 37.6539i 0.585255 + 1.80123i
\(438\) −21.2602 15.4465i −1.01585 0.738060i
\(439\) 5.12718 0.244707 0.122354 0.992487i \(-0.460956\pi\)
0.122354 + 0.992487i \(0.460956\pi\)
\(440\) −1.40369 −0.0669184
\(441\) −0.670989 0.487502i −0.0319518 0.0232144i
\(442\) −1.99722 + 1.45106i −0.0949979 + 0.0690200i
\(443\) −10.0842 + 7.32658i −0.479113 + 0.348096i −0.800982 0.598688i \(-0.795689\pi\)
0.321869 + 0.946784i \(0.395689\pi\)
\(444\) −4.01643 + 12.3613i −0.190611 + 0.586641i
\(445\) −2.43535 1.76938i −0.115446 0.0838768i
\(446\) 1.86960 5.75404i 0.0885282 0.272462i
\(447\) −4.60783 14.1814i −0.217943 0.670759i
\(448\) −0.500000 + 0.363271i −0.0236228 + 0.0171630i
\(449\) −0.160253 0.493207i −0.00756279 0.0232759i 0.947204 0.320632i \(-0.103895\pi\)
−0.954767 + 0.297356i \(0.903895\pi\)
\(450\) −0.186479 0.573922i −0.00879068 0.0270549i
\(451\) −13.9600 + 10.1425i −0.657350 + 0.477593i
\(452\) 5.23593 + 16.1146i 0.246278 + 0.757965i
\(453\) −11.6536 + 35.8662i −0.547535 + 1.68514i
\(454\) 21.0980 + 15.3286i 0.990180 + 0.719408i
\(455\) 0.471479 1.45106i 0.0221033 0.0680269i
\(456\) 6.57202 4.77485i 0.307763 0.223603i
\(457\) 18.1025 13.1523i 0.846801 0.615237i −0.0774611 0.996995i \(-0.524681\pi\)
0.924262 + 0.381758i \(0.124681\pi\)
\(458\) 12.8223 + 9.31596i 0.599147 + 0.435306i
\(459\) −2.27767 −0.106313
\(460\) −3.55188 −0.165607
\(461\) −13.7514 9.99100i −0.640468 0.465327i 0.219543 0.975603i \(-0.429543\pi\)
−0.860011 + 0.510275i \(0.829543\pi\)
\(462\) 1.05745 + 3.25449i 0.0491970 + 0.151413i
\(463\) −1.86355 + 5.73541i −0.0866064 + 0.266547i −0.984975 0.172694i \(-0.944753\pi\)
0.898369 + 0.439241i \(0.144753\pi\)
\(464\) 0.716063 0.0332424
\(465\) 2.10032 3.47180i 0.0973999 0.161001i
\(466\) 25.1984 1.16729
\(467\) 7.21377 22.2017i 0.333814 1.02737i −0.633490 0.773751i \(-0.718378\pi\)
0.967304 0.253622i \(-0.0816218\pi\)
\(468\) 0.222421 + 0.684543i 0.0102814 + 0.0316430i
\(469\) −0.895613 0.650701i −0.0413555 0.0300466i
\(470\) −2.08646 −0.0962413
\(471\) 19.9260 0.918141
\(472\) −3.18798 2.31621i −0.146739 0.106612i
\(473\) −9.96799 + 7.24217i −0.458329 + 0.332995i
\(474\) −1.85503 + 1.34776i −0.0852044 + 0.0619047i
\(475\) −7.12930 + 21.9417i −0.327115 + 1.00676i
\(476\) −0.214917 0.156147i −0.00985072 0.00715697i
\(477\) 0.374678 1.15314i 0.0171553 0.0527986i
\(478\) −1.01307 3.11791i −0.0463368 0.142610i
\(479\) −5.07931 + 3.69033i −0.232079 + 0.168616i −0.697747 0.716344i \(-0.745814\pi\)
0.465668 + 0.884960i \(0.345814\pi\)
\(480\) 0.225205 + 0.693111i 0.0102792 + 0.0316360i
\(481\) 13.6054 + 41.8731i 0.620353 + 1.90925i
\(482\) 6.18035 4.49028i 0.281507 0.204527i
\(483\) 2.67575 + 8.23512i 0.121751 + 0.374711i
\(484\) −0.103679 + 0.319092i −0.00471270 + 0.0145042i
\(485\) −3.19434 2.32083i −0.145048 0.105383i
\(486\) −0.402193 + 1.23782i −0.0182438 + 0.0561488i
\(487\) −20.6396 + 14.9956i −0.935271 + 0.679514i −0.947278 0.320414i \(-0.896178\pi\)
0.0120069 + 0.999928i \(0.496178\pi\)
\(488\) 6.17041 4.48306i 0.279321 0.202939i
\(489\) −8.21735 5.97025i −0.371601 0.269984i
\(490\) −2.84466 −0.128509
\(491\) −42.8298 −1.93288 −0.966442 0.256887i \(-0.917303\pi\)
−0.966442 + 0.256887i \(0.917303\pi\)
\(492\) 7.24786 + 5.26588i 0.326759 + 0.237404i
\(493\) 0.0951120 + 0.292725i 0.00428363 + 0.0131837i
\(494\) 8.50344 26.1709i 0.382588 1.17748i
\(495\) −0.175914 −0.00790674
\(496\) −2.88197 + 4.76385i −0.129404 + 0.213903i
\(497\) 6.97386 0.312820
\(498\) 0.600375 1.84777i 0.0269035 0.0828004i
\(499\) 0.394955 + 1.21555i 0.0176806 + 0.0544154i 0.959508 0.281683i \(-0.0908926\pi\)
−0.941827 + 0.336098i \(0.890893\pi\)
\(500\) −3.41319 2.47983i −0.152642 0.110901i
\(501\) −14.7741 −0.660058
\(502\) −13.8247 −0.617026
\(503\) −9.41248 6.83857i −0.419682 0.304917i 0.357828 0.933788i \(-0.383517\pi\)
−0.777510 + 0.628871i \(0.783517\pi\)
\(504\) −0.0626612 + 0.0455260i −0.00279115 + 0.00202789i
\(505\) −4.42362 + 3.21395i −0.196849 + 0.143019i
\(506\) 8.33891 25.6645i 0.370710 1.14093i
\(507\) −27.4146 19.9178i −1.21752 0.884582i
\(508\) −3.77201 + 11.6091i −0.167356 + 0.515069i
\(509\) 4.21178 + 12.9625i 0.186684 + 0.574554i 0.999973 0.00730559i \(-0.00232546\pi\)
−0.813290 + 0.581859i \(0.802325\pi\)
\(510\) −0.253429 + 0.184127i −0.0112220 + 0.00815326i
\(511\) −2.96013 9.11034i −0.130948 0.403018i
\(512\) −0.309017 0.951057i −0.0136568 0.0420312i
\(513\) 20.5397 14.9229i 0.906849 0.658864i
\(514\) 1.21770 + 3.74770i 0.0537105 + 0.165304i
\(515\) 0.641562 1.97453i 0.0282706 0.0870080i
\(516\) 5.17526 + 3.76005i 0.227828 + 0.165527i
\(517\) 4.89848 15.0760i 0.215435 0.663040i
\(518\) −3.83295 + 2.78480i −0.168410 + 0.122357i
\(519\) −22.7911 + 16.5587i −1.00042 + 0.726846i
\(520\) 1.99722 + 1.45106i 0.0875837 + 0.0636333i
\(521\) −19.9628 −0.874587 −0.437294 0.899319i \(-0.644063\pi\)
−0.437294 + 0.899319i \(0.644063\pi\)
\(522\) 0.0897387 0.00392776
\(523\) 10.5480 + 7.66354i 0.461230 + 0.335103i 0.794013 0.607900i \(-0.207988\pi\)
−0.332784 + 0.943003i \(0.607988\pi\)
\(524\) 5.09009 + 15.6657i 0.222362 + 0.684358i
\(525\) −1.55922 + 4.79879i −0.0680499 + 0.209436i
\(526\) −1.88899 −0.0823638
\(527\) −2.33025 0.545375i −0.101507 0.0237569i
\(528\) −5.53687 −0.240961
\(529\) 13.9933 43.0668i 0.608403 1.87247i
\(530\) −1.28508 3.95508i −0.0558204 0.171798i
\(531\) −0.399526 0.290272i −0.0173379 0.0125967i
\(532\) 2.96114 0.128382
\(533\) 30.3475 1.31450
\(534\) −9.60624 6.97934i −0.415703 0.302026i
\(535\) 4.15419 3.01820i 0.179601 0.130488i
\(536\) 1.44913 1.05286i 0.0625930 0.0454764i
\(537\) 0.432968 1.33254i 0.0186839 0.0575032i
\(538\) −7.99851 5.81125i −0.344840 0.250541i
\(539\) 6.67854 20.5544i 0.287665 0.885342i
\(540\) 0.703839 + 2.16619i 0.0302884 + 0.0932182i
\(541\) 5.10960 3.71234i 0.219679 0.159606i −0.472503 0.881329i \(-0.656650\pi\)
0.692182 + 0.721723i \(0.256650\pi\)
\(542\) 2.35418 + 7.24543i 0.101121 + 0.311218i
\(543\) −6.69218 20.5964i −0.287189 0.883877i
\(544\) 0.347744 0.252651i 0.0149094 0.0108323i
\(545\) −0.146340 0.450387i −0.00626850 0.0192925i
\(546\) 1.85975 5.72373i 0.0795900 0.244953i
\(547\) −5.77466 4.19554i −0.246907 0.179388i 0.457448 0.889236i \(-0.348764\pi\)
−0.704355 + 0.709848i \(0.748764\pi\)
\(548\) 5.45478 16.7881i 0.233017 0.717152i
\(549\) 0.773290 0.561828i 0.0330032 0.0239782i
\(550\) 12.7217 9.24287i 0.542456 0.394117i
\(551\) −2.77559 2.01659i −0.118244 0.0859094i
\(552\) −14.0104 −0.596323
\(553\) −0.835818 −0.0355426
\(554\) −3.27965 2.38280i −0.139339 0.101236i
\(555\) 1.72640 + 5.31332i 0.0732817 + 0.225538i
\(556\) −0.0552905 + 0.170167i −0.00234484 + 0.00721667i
\(557\) 2.98330 0.126406 0.0632032 0.998001i \(-0.479868\pi\)
0.0632032 + 0.998001i \(0.479868\pi\)
\(558\) −0.361175 + 0.597017i −0.0152897 + 0.0252737i
\(559\) 21.6693 0.916516
\(560\) −0.0820912 + 0.252651i −0.00346898 + 0.0106764i
\(561\) −0.735442 2.26346i −0.0310504 0.0955633i
\(562\) 19.4826 + 14.1550i 0.821826 + 0.597092i
\(563\) 41.8614 1.76425 0.882125 0.471016i \(-0.156113\pi\)
0.882125 + 0.471016i \(0.156113\pi\)
\(564\) −8.23007 −0.346548
\(565\) 5.89211 + 4.28087i 0.247883 + 0.180098i
\(566\) 17.3792 12.6267i 0.730502 0.530741i
\(567\) 4.30416 3.12716i 0.180758 0.131328i
\(568\) −3.48693 + 10.7317i −0.146308 + 0.450291i
\(569\) −35.0657 25.4767i −1.47003 1.06804i −0.980605 0.195993i \(-0.937207\pi\)
−0.489424 0.872046i \(-0.662793\pi\)
\(570\) 1.07901 3.32085i 0.0451947 0.139095i
\(571\) −2.62532 8.07990i −0.109866 0.338133i 0.880976 0.473162i \(-0.156887\pi\)
−0.990842 + 0.135029i \(0.956887\pi\)
\(572\) −15.1738 + 11.0244i −0.634447 + 0.460953i
\(573\) 2.04632 + 6.29792i 0.0854862 + 0.263100i
\(574\) 1.00914 + 3.10582i 0.0421208 + 0.129634i
\(575\) 32.1909 23.3880i 1.34245 0.975348i
\(576\) −0.0387267 0.119189i −0.00161361 0.00496619i
\(577\) −11.0216 + 33.9211i −0.458837 + 1.41216i 0.407734 + 0.913101i \(0.366319\pi\)
−0.866571 + 0.499054i \(0.833681\pi\)
\(578\) −13.6038 9.88375i −0.565844 0.411110i
\(579\) −1.24499 + 3.83169i −0.0517400 + 0.159239i
\(580\) 0.249006 0.180914i 0.0103394 0.00751204i
\(581\) 0.572949 0.416272i 0.0237699 0.0172699i
\(582\) −12.6001 9.15451i −0.522291 0.379467i
\(583\) 31.5949 1.30853
\(584\) 15.4994 0.641371
\(585\) 0.250296 + 0.181851i 0.0103485 + 0.00751859i
\(586\) 7.34903 + 22.6180i 0.303585 + 0.934340i
\(587\) 0.993997 3.05921i 0.0410266 0.126267i −0.928445 0.371469i \(-0.878854\pi\)
0.969472 + 0.245202i \(0.0788542\pi\)
\(588\) −11.2208 −0.462738
\(589\) 24.5870 10.3493i 1.01309 0.426437i
\(590\) −1.69379 −0.0697323
\(591\) −5.55515 + 17.0970i −0.228508 + 0.703276i
\(592\) −2.36889 7.29071i −0.0973610 0.299646i
\(593\) −19.1349 13.9023i −0.785776 0.570900i 0.120931 0.992661i \(-0.461412\pi\)
−0.906707 + 0.421761i \(0.861412\pi\)
\(594\) −17.3045 −0.710013
\(595\) −0.114187 −0.00468120
\(596\) 7.11503 + 5.16938i 0.291443 + 0.211746i
\(597\) 6.56752 4.77159i 0.268791 0.195288i
\(598\) −38.3955 + 27.8960i −1.57011 + 1.14075i
\(599\) −10.1165 + 31.1355i −0.413350 + 1.27216i 0.500368 + 0.865813i \(0.333198\pi\)
−0.913718 + 0.406349i \(0.866802\pi\)
\(600\) −6.60496 4.79879i −0.269646 0.195910i
\(601\) −6.86134 + 21.1170i −0.279880 + 0.861382i 0.708007 + 0.706205i \(0.249595\pi\)
−0.987887 + 0.155176i \(0.950405\pi\)
\(602\) 0.720568 + 2.21768i 0.0293681 + 0.0903858i
\(603\) 0.181609 0.131946i 0.00739567 0.00537327i
\(604\) −6.87332 21.1539i −0.279671 0.860740i
\(605\) 0.0445650 + 0.137157i 0.00181182 + 0.00557622i
\(606\) −17.4490 + 12.6774i −0.708818 + 0.514986i
\(607\) −12.5814 38.7215i −0.510663 1.57166i −0.791037 0.611768i \(-0.790459\pi\)
0.280375 0.959891i \(-0.409541\pi\)
\(608\) −1.48057 + 4.55673i −0.0600450 + 0.184800i
\(609\) −0.607038 0.441039i −0.0245984 0.0178718i
\(610\) 1.01307 3.11791i 0.0410181 0.126241i
\(611\) −22.5545 + 16.3868i −0.912456 + 0.662938i
\(612\) 0.0435801 0.0316628i 0.00176162 0.00127989i
\(613\) 16.6893 + 12.1255i 0.674076 + 0.489745i 0.871387 0.490596i \(-0.163221\pi\)
−0.197311 + 0.980341i \(0.563221\pi\)
\(614\) −5.83167 −0.235347
\(615\) 3.85083 0.155280
\(616\) −1.63283 1.18632i −0.0657884 0.0477981i
\(617\) −8.60668 26.4886i −0.346492 1.06639i −0.960780 0.277311i \(-0.910557\pi\)
0.614288 0.789082i \(-0.289443\pi\)
\(618\) 2.53065 7.78853i 0.101798 0.313301i
\(619\) −19.3524 −0.777838 −0.388919 0.921272i \(-0.627151\pi\)
−0.388919 + 0.921272i \(0.627151\pi\)
\(620\) 0.201404 + 2.38473i 0.00808858 + 0.0957730i
\(621\) −43.7871 −1.75712
\(622\) 6.08482 18.7272i 0.243979 0.750891i
\(623\) −1.33751 4.11642i −0.0535861 0.164921i
\(624\) 7.87804 + 5.72373i 0.315374 + 0.229133i
\(625\) 22.2628 0.890511
\(626\) 31.8404 1.27260
\(627\) 21.4619 + 15.5930i 0.857107 + 0.622725i
\(628\) −9.50786 + 6.90787i −0.379405 + 0.275654i
\(629\) 2.66577 1.93679i 0.106291 0.0772251i
\(630\) −0.0102879 + 0.0316628i −0.000409878 + 0.00126147i
\(631\) 28.9209 + 21.0123i 1.15132 + 0.836485i 0.988656 0.150196i \(-0.0479904\pi\)
0.162667 + 0.986681i \(0.447990\pi\)
\(632\) 0.417909 1.28619i 0.0166235 0.0511619i
\(633\) 14.2192 + 43.7621i 0.565161 + 1.73939i
\(634\) −19.2452 + 13.9825i −0.764325 + 0.555315i
\(635\) 1.62134 + 4.98998i 0.0643410 + 0.198021i
\(636\) −5.06902 15.6008i −0.201000 0.618613i
\(637\) −30.7505 + 22.3416i −1.21838 + 0.885205i
\(638\) 0.722610 + 2.22396i 0.0286084 + 0.0880476i
\(639\) −0.436990 + 1.34492i −0.0172871 + 0.0532041i
\(640\) −0.347744 0.252651i −0.0137458 0.00998689i
\(641\) −4.03488 + 12.4181i −0.159368 + 0.490485i −0.998577 0.0533241i \(-0.983018\pi\)
0.839209 + 0.543809i \(0.183018\pi\)
\(642\) 16.3862 11.9053i 0.646714 0.469865i
\(643\) −7.12519 + 5.17675i −0.280990 + 0.204151i −0.719349 0.694649i \(-0.755560\pi\)
0.438359 + 0.898800i \(0.355560\pi\)
\(644\) −4.13168 3.00184i −0.162811 0.118289i
\(645\) 2.74964 0.108267
\(646\) −2.05944 −0.0810274
\(647\) 30.4324 + 22.1104i 1.19642 + 0.869250i 0.993928 0.110034i \(-0.0350961\pi\)
0.202492 + 0.979284i \(0.435096\pi\)
\(648\) 2.66012 + 8.18701i 0.104499 + 0.321616i
\(649\) 3.97659 12.2387i 0.156095 0.480410i
\(650\) −27.6557 −1.08474
\(651\) 5.37733 2.26346i 0.210754 0.0887119i
\(652\) 5.99072 0.234615
\(653\) −7.16184 + 22.0419i −0.280264 + 0.862565i 0.707514 + 0.706700i \(0.249817\pi\)
−0.987778 + 0.155866i \(0.950183\pi\)
\(654\) −0.577238 1.77656i −0.0225718 0.0694688i
\(655\) 5.72799 + 4.16163i 0.223811 + 0.162608i
\(656\) −5.28394 −0.206303
\(657\) 1.94242 0.0757812
\(658\) −2.42705 1.76336i −0.0946163 0.0687428i
\(659\) −11.4989 + 8.35441i −0.447932 + 0.325441i −0.788779 0.614677i \(-0.789286\pi\)
0.340847 + 0.940119i \(0.389286\pi\)
\(660\) −1.92541 + 1.39889i −0.0749466 + 0.0544519i
\(661\) 0.182384 0.561321i 0.00709392 0.0218329i −0.947447 0.319913i \(-0.896346\pi\)
0.954541 + 0.298080i \(0.0963463\pi\)
\(662\) 21.8667 + 15.8871i 0.849873 + 0.617469i
\(663\) −1.29343 + 3.98078i −0.0502328 + 0.154601i
\(664\) 0.354102 + 1.08981i 0.0137418 + 0.0422930i
\(665\) 1.02972 0.748134i 0.0399307 0.0290114i
\(666\) −0.296875 0.913688i −0.0115037 0.0354047i
\(667\) 1.82848 + 5.62749i 0.0707991 + 0.217897i
\(668\) 7.04959 5.12183i 0.272757 0.198169i
\(669\) −3.16989 9.75591i −0.122555 0.377185i
\(670\) 0.237922 0.732248i 0.00919172 0.0282892i
\(671\) 20.1504 + 14.6401i 0.777898 + 0.565176i
\(672\) −0.323809 + 0.996583i −0.0124912 + 0.0384440i
\(673\) 0.278868 0.202609i 0.0107496 0.00781002i −0.582397 0.812904i \(-0.697885\pi\)
0.593147 + 0.805094i \(0.297885\pi\)
\(674\) 7.25086 5.26806i 0.279293 0.202918i
\(675\) −20.6426 14.9978i −0.794535 0.577264i
\(676\) 19.9861 0.768698
\(677\) 24.3744 0.936783 0.468392 0.883521i \(-0.344834\pi\)
0.468392 + 0.883521i \(0.344834\pi\)
\(678\) 23.2415 + 16.8859i 0.892584 + 0.648500i
\(679\) −1.75435 5.39934i −0.0673259 0.207208i
\(680\) 0.0570934 0.175715i 0.00218943 0.00673838i
\(681\) 44.2159 1.69436
\(682\) −17.7040 4.14347i −0.677920 0.158662i
\(683\) −1.73654 −0.0664467 −0.0332234 0.999448i \(-0.510577\pi\)
−0.0332234 + 0.999448i \(0.510577\pi\)
\(684\) −0.185548 + 0.571059i −0.00709462 + 0.0218350i
\(685\) −2.34466 7.21611i −0.0895847 0.275713i
\(686\) −6.80902 4.94704i −0.259969 0.188879i
\(687\) 26.8722 1.02524
\(688\) −3.77294 −0.143842
\(689\) −44.9542 32.6611i −1.71262 1.24429i
\(690\) −4.87204 + 3.53974i −0.185475 + 0.134756i
\(691\) 12.8277 9.31990i 0.487990 0.354546i −0.316421 0.948619i \(-0.602481\pi\)
0.804411 + 0.594073i \(0.202481\pi\)
\(692\) 5.13446 15.8023i 0.195183 0.600712i
\(693\) −0.204630 0.148672i −0.00777324 0.00564759i
\(694\) −1.45169 + 4.46785i −0.0551055 + 0.169597i
\(695\) 0.0237658 + 0.0731435i 0.000901487 + 0.00277449i
\(696\) 0.982208 0.713616i 0.0372305 0.0270495i
\(697\) −0.701846 2.16006i −0.0265843 0.0818181i
\(698\) −5.36783 16.5205i −0.203175 0.625310i
\(699\) 34.5640 25.1122i 1.30733 0.949832i
\(700\) −0.919629 2.83033i −0.0347587 0.106976i
\(701\) 6.03559 18.5756i 0.227961 0.701592i −0.770016 0.638024i \(-0.779752\pi\)
0.997978 0.0635680i \(-0.0202480\pi\)
\(702\) 24.6214 + 17.8885i 0.929275 + 0.675158i
\(703\) −11.3499 + 34.9314i −0.428070 + 1.31746i
\(704\) 2.64197 1.91950i 0.0995729 0.0723440i
\(705\) −2.86195 + 2.07933i −0.107787 + 0.0783122i
\(706\) −0.493991 0.358905i −0.0185916 0.0135076i
\(707\) −7.86196 −0.295679
\(708\) −6.68118 −0.251094
\(709\) −30.2335 21.9659i −1.13544 0.824948i −0.148965 0.988842i \(-0.547594\pi\)
−0.986478 + 0.163895i \(0.947594\pi\)
\(710\) 1.49880 + 4.61284i 0.0562491 + 0.173117i
\(711\) 0.0523733 0.161188i 0.00196415 0.00604504i
\(712\) 7.00328 0.262459
\(713\) −44.7979 10.4846i −1.67769 0.392650i
\(714\) −0.450411 −0.0168562
\(715\) −2.49126 + 7.66732i −0.0931680 + 0.286742i
\(716\) 0.255365 + 0.785932i 0.00954343 + 0.0293716i
\(717\) −4.49687 3.26717i −0.167939 0.122015i
\(718\) −15.4220 −0.575543
\(719\) −21.3156 −0.794940 −0.397470 0.917615i \(-0.630112\pi\)
−0.397470 + 0.917615i \(0.630112\pi\)
\(720\) −0.0435801 0.0316628i −0.00162413 0.00118000i
\(721\) 2.41504 1.75463i 0.0899409 0.0653459i
\(722\) 3.20034 2.32518i 0.119104 0.0865344i
\(723\) 4.00251 12.3185i 0.148855 0.458128i
\(724\) 10.3335 + 7.50775i 0.384042 + 0.279023i
\(725\) −1.06550 + 3.27926i −0.0395715 + 0.121789i
\(726\) 0.175787 + 0.541017i 0.00652407 + 0.0200790i
\(727\) 14.8730 10.8058i 0.551608 0.400767i −0.276770 0.960936i \(-0.589264\pi\)
0.828378 + 0.560170i \(0.189264\pi\)
\(728\) 1.09688 + 3.37586i 0.0406532 + 0.125118i
\(729\) 8.66227 + 26.6597i 0.320825 + 0.987397i
\(730\) 5.38983 3.91594i 0.199487 0.144935i
\(731\) −0.501146 1.54237i −0.0185355 0.0570465i
\(732\) 3.99607 12.2986i 0.147699 0.454571i
\(733\) −31.9315 23.1996i −1.17942 0.856896i −0.187310 0.982301i \(-0.559977\pi\)
−0.992106 + 0.125405i \(0.959977\pi\)
\(734\) 4.77373 14.6920i 0.176202 0.542293i
\(735\) −3.90196 + 2.83494i −0.143926 + 0.104568i
\(736\) 6.68520 4.85708i 0.246420 0.179034i
\(737\) 4.73236 + 3.43826i 0.174319 + 0.126650i
\(738\) −0.662195 −0.0243757
\(739\) −29.5292 −1.08625 −0.543124 0.839652i \(-0.682759\pi\)
−0.543124 + 0.839652i \(0.682759\pi\)
\(740\) −2.66577 1.93679i −0.0979956 0.0711980i
\(741\) −14.4175 44.3724i −0.529639 1.63006i
\(742\) 1.84774 5.68677i 0.0678328 0.208768i
\(743\) 25.3664 0.930603 0.465302 0.885152i \(-0.345946\pi\)
0.465302 + 0.885152i \(0.345946\pi\)
\(744\) 0.794440 + 9.40659i 0.0291256 + 0.344862i
\(745\) 3.78025 0.138498
\(746\) −8.63163 + 26.5654i −0.316026 + 0.972629i
\(747\) 0.0443769 + 0.136578i 0.00162367 + 0.00499713i
\(748\) 1.13561 + 0.825069i 0.0415220 + 0.0301675i
\(749\) 7.38312 0.269773
\(750\) −7.15315 −0.261196
\(751\) 7.88996 + 5.73239i 0.287909 + 0.209178i 0.722360 0.691518i \(-0.243058\pi\)
−0.434451 + 0.900696i \(0.643058\pi\)
\(752\) 3.92705 2.85317i 0.143205 0.104044i
\(753\) −18.9630 + 13.7774i −0.691051 + 0.502078i
\(754\) 1.27087 3.91132i 0.0462822 0.142442i
\(755\) −7.73470 5.61959i −0.281494 0.204518i
\(756\) −1.01201 + 3.11464i −0.0368064 + 0.113278i
\(757\) −10.2506 31.5482i −0.372566 1.14664i −0.945106 0.326764i \(-0.894042\pi\)
0.572540 0.819877i \(-0.305958\pi\)
\(758\) −25.1985 + 18.3078i −0.915250 + 0.664968i
\(759\) −14.1385 43.5139i −0.513195 1.57945i
\(760\) 0.636401 + 1.95864i 0.0230847 + 0.0710473i
\(761\) −3.66269 + 2.66110i −0.132772 + 0.0964647i −0.652189 0.758056i \(-0.726149\pi\)
0.519417 + 0.854521i \(0.326149\pi\)
\(762\) 6.39540 + 19.6830i 0.231681 + 0.713040i
\(763\) 0.210413 0.647585i 0.00761746 0.0234441i
\(764\) −3.15976 2.29570i −0.114316 0.0830555i
\(765\) 0.00715507 0.0220211i 0.000258692 0.000796173i
\(766\) 5.65226 4.10660i 0.204224 0.148378i
\(767\) −18.3097 + 13.3028i −0.661126 + 0.480336i
\(768\) −1.37168 0.996583i −0.0494962 0.0359611i
\(769\) 35.9407 1.29606 0.648028 0.761617i \(-0.275594\pi\)
0.648028 + 0.761617i \(0.275594\pi\)
\(770\) −0.867529 −0.0312636
\(771\) 5.40519 + 3.92710i 0.194663 + 0.141431i
\(772\) −0.734297 2.25993i −0.0264279 0.0813367i
\(773\) −8.01933 + 24.6810i −0.288435 + 0.887712i 0.696913 + 0.717156i \(0.254556\pi\)
−0.985348 + 0.170556i \(0.945444\pi\)
\(774\) −0.472834 −0.0169957
\(775\) −17.5280 − </