Properties

Label 637.2.w.b.92.21
Level $637$
Weight $2$
Character 637.92
Analytic conductor $5.086$
Analytic rank $0$
Dimension $174$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.w (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(174\)
Relative dimension: \(29\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 92.21
Character \(\chi\) \(=\) 637.92
Dual form 637.2.w.b.547.21

$q$-expansion

\(f(q)\) \(=\) \(q+(0.933262 - 1.17027i) q^{2} +(-1.67867 - 0.808405i) q^{3} +(-0.0535208 - 0.234490i) q^{4} +(2.90691 + 1.39989i) q^{5} +(-2.51269 + 1.21005i) q^{6} +(-2.13442 + 1.56341i) q^{7} +(2.37284 + 1.14270i) q^{8} +(0.293945 + 0.368596i) q^{9} +O(q^{10})\) \(q+(0.933262 - 1.17027i) q^{2} +(-1.67867 - 0.808405i) q^{3} +(-0.0535208 - 0.234490i) q^{4} +(2.90691 + 1.39989i) q^{5} +(-2.51269 + 1.21005i) q^{6} +(-2.13442 + 1.56341i) q^{7} +(2.37284 + 1.14270i) q^{8} +(0.293945 + 0.368596i) q^{9} +(4.35117 - 2.09541i) q^{10} +(-2.84206 + 3.56383i) q^{11} +(-0.0997190 + 0.436898i) q^{12} +(0.623490 - 0.781831i) q^{13} +(-0.162353 + 3.95693i) q^{14} +(-3.74806 - 4.69992i) q^{15} +(3.98516 - 1.91915i) q^{16} +(-1.67931 + 7.35756i) q^{17} +0.705686 q^{18} +4.53615 q^{19} +(0.172681 - 0.756564i) q^{20} +(4.84685 - 0.898977i) q^{21} +(1.51827 + 6.65199i) q^{22} +(1.22419 + 5.36354i) q^{23} +(-3.05945 - 3.83643i) q^{24} +(3.37296 + 4.22956i) q^{25} +(-0.333078 - 1.45931i) q^{26} +(1.04833 + 4.59303i) q^{27} +(0.480840 + 0.416825i) q^{28} +(1.76030 - 7.71239i) q^{29} -8.99811 q^{30} -7.52498 q^{31} +(0.301179 - 1.31955i) q^{32} +(7.65191 - 3.68496i) q^{33} +(7.04312 + 8.83179i) q^{34} +(-8.39317 + 1.55673i) q^{35} +(0.0706998 - 0.0886547i) q^{36} +(1.96551 - 8.61146i) q^{37} +(4.23342 - 5.30854i) q^{38} +(-1.67867 + 0.808405i) q^{39} +(5.29797 + 6.64344i) q^{40} +(4.09940 + 1.97417i) q^{41} +(3.47134 - 6.51113i) q^{42} +(7.13531 - 3.43618i) q^{43} +(0.987793 + 0.475696i) q^{44} +(0.338477 + 1.48297i) q^{45} +(7.41930 + 3.57295i) q^{46} +(0.663491 - 0.831992i) q^{47} -8.24121 q^{48} +(2.11149 - 6.67395i) q^{49} +8.09760 q^{50} +(8.76690 - 10.9933i) q^{51} +(-0.216701 - 0.104358i) q^{52} +(-2.34585 - 10.2778i) q^{53} +(6.35347 + 3.05967i) q^{54} +(-13.2506 + 6.38115i) q^{55} +(-6.85114 + 1.27073i) q^{56} +(-7.61470 - 3.66705i) q^{57} +(-7.38279 - 9.25772i) q^{58} +(-3.16067 + 1.52210i) q^{59} +(-0.901484 + 1.13043i) q^{60} +(-1.26904 + 5.56002i) q^{61} +(-7.02278 + 8.80629i) q^{62} +(-1.20367 - 0.327180i) q^{63} +(4.25247 + 5.33243i) q^{64} +(2.90691 - 1.39989i) q^{65} +(2.82882 - 12.3939i) q^{66} +5.37417 q^{67} +1.81515 q^{68} +(2.28090 - 9.99326i) q^{69} +(-6.01122 + 11.2751i) q^{70} +(1.51892 + 6.65483i) q^{71} +(0.276291 + 1.21051i) q^{72} +(2.88891 + 3.62258i) q^{73} +(-8.24343 - 10.3369i) q^{74} +(-2.24289 - 9.82676i) q^{75} +(-0.242778 - 1.06368i) q^{76} +(0.494414 - 12.0500i) q^{77} +(-0.620584 + 2.71896i) q^{78} -10.2738 q^{79} +14.2711 q^{80} +(2.26795 - 9.93655i) q^{81} +(6.13613 - 2.95500i) q^{82} +(-1.25401 - 1.57248i) q^{83} +(-0.470209 - 1.08842i) q^{84} +(-15.1814 + 19.0369i) q^{85} +(2.63784 - 11.5571i) q^{86} +(-9.18970 + 11.5235i) q^{87} +(-10.8162 + 5.20879i) q^{88} +(8.37947 + 10.5075i) q^{89} +(2.05136 + 0.987885i) q^{90} +(-0.108464 + 2.64353i) q^{91} +(1.19218 - 0.574122i) q^{92} +(12.6320 + 6.08323i) q^{93} +(-0.354447 - 1.55293i) q^{94} +(13.1862 + 6.35012i) q^{95} +(-1.57231 + 1.97162i) q^{96} -0.268125 q^{97} +(-5.83978 - 8.69957i) q^{98} -2.14902 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 174q - 3q^{2} - 31q^{4} - 4q^{5} - 2q^{6} + 9q^{7} - 15q^{8} - 31q^{9} + O(q^{10}) \) \( 174q - 3q^{2} - 31q^{4} - 4q^{5} - 2q^{6} + 9q^{7} - 15q^{8} - 31q^{9} - 10q^{10} - 5q^{11} + 25q^{12} - 29q^{13} + 15q^{14} - 10q^{15} - 51q^{16} - 9q^{17} + 44q^{18} + 24q^{19} + 63q^{20} - 28q^{21} - 8q^{22} - 13q^{23} - 48q^{24} - 49q^{25} - 3q^{26} - 9q^{27} - 44q^{28} + 2q^{29} - 22q^{30} + 10q^{31} + 24q^{32} - 26q^{33} + 118q^{34} + 5q^{35} - 55q^{36} - 32q^{37} + 16q^{38} + 42q^{40} - 14q^{41} + 4q^{42} - 50q^{43} + 35q^{44} - q^{45} + 4q^{46} - 24q^{47} - 116q^{48} - 25q^{49} + 156q^{50} + 12q^{51} - 31q^{52} - 30q^{53} - 78q^{54} + 25q^{55} + 3q^{56} - 63q^{57} - 12q^{58} - 4q^{59} + 128q^{60} - 42q^{61} - 38q^{62} - 85q^{63} - 105q^{64} - 4q^{65} + 15q^{66} + 94q^{67} + 214q^{68} + 32q^{69} - 57q^{70} - 29q^{71} - 64q^{72} - 66q^{73} - 90q^{74} + 131q^{75} - 21q^{76} - 82q^{77} + 19q^{78} + 6q^{79} + 22q^{80} + 49q^{81} - 50q^{82} + 25q^{83} + 89q^{84} - 86q^{85} - 28q^{86} + 24q^{87} + 48q^{88} - 50q^{89} - 155q^{90} - 5q^{91} - 98q^{92} + 89q^{93} - 28q^{94} - 130q^{95} - 105q^{96} - 42q^{97} + 195q^{98} + 438q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.933262 1.17027i 0.659916 0.827509i −0.333418 0.942779i \(-0.608202\pi\)
0.993334 + 0.115270i \(0.0367734\pi\)
\(3\) −1.67867 0.808405i −0.969181 0.466733i −0.118810 0.992917i \(-0.537908\pi\)
−0.850371 + 0.526184i \(0.823622\pi\)
\(4\) −0.0535208 0.234490i −0.0267604 0.117245i
\(5\) 2.90691 + 1.39989i 1.30001 + 0.626051i 0.950454 0.310865i \(-0.100619\pi\)
0.349554 + 0.936916i \(0.386333\pi\)
\(6\) −2.51269 + 1.21005i −1.02580 + 0.494001i
\(7\) −2.13442 + 1.56341i −0.806735 + 0.590914i
\(8\) 2.37284 + 1.14270i 0.838926 + 0.404005i
\(9\) 0.293945 + 0.368596i 0.0979817 + 0.122865i
\(10\) 4.35117 2.09541i 1.37596 0.662627i
\(11\) −2.84206 + 3.56383i −0.856914 + 1.07454i 0.139524 + 0.990219i \(0.455443\pi\)
−0.996439 + 0.0843181i \(0.973129\pi\)
\(12\) −0.0997190 + 0.436898i −0.0287864 + 0.126121i
\(13\) 0.623490 0.781831i 0.172925 0.216841i
\(14\) −0.162353 + 3.95693i −0.0433907 + 1.05753i
\(15\) −3.74806 4.69992i −0.967744 1.21351i
\(16\) 3.98516 1.91915i 0.996289 0.479788i
\(17\) −1.67931 + 7.35756i −0.407294 + 1.78447i 0.189293 + 0.981921i \(0.439381\pi\)
−0.596586 + 0.802549i \(0.703477\pi\)
\(18\) 0.705686 0.166332
\(19\) 4.53615 1.04066 0.520332 0.853964i \(-0.325808\pi\)
0.520332 + 0.853964i \(0.325808\pi\)
\(20\) 0.172681 0.756564i 0.0386126 0.169173i
\(21\) 4.84685 0.898977i 1.05767 0.196173i
\(22\) 1.51827 + 6.65199i 0.323697 + 1.41821i
\(23\) 1.22419 + 5.36354i 0.255262 + 1.11838i 0.926251 + 0.376908i \(0.123013\pi\)
−0.670989 + 0.741467i \(0.734130\pi\)
\(24\) −3.05945 3.83643i −0.624508 0.783108i
\(25\) 3.37296 + 4.22956i 0.674592 + 0.845912i
\(26\) −0.333078 1.45931i −0.0653219 0.286194i
\(27\) 1.04833 + 4.59303i 0.201751 + 0.883929i
\(28\) 0.480840 + 0.416825i 0.0908702 + 0.0787725i
\(29\) 1.76030 7.71239i 0.326880 1.43216i −0.498162 0.867084i \(-0.665991\pi\)
0.825042 0.565071i \(-0.191151\pi\)
\(30\) −8.99811 −1.64282
\(31\) −7.52498 −1.35153 −0.675763 0.737119i \(-0.736186\pi\)
−0.675763 + 0.737119i \(0.736186\pi\)
\(32\) 0.301179 1.31955i 0.0532414 0.233266i
\(33\) 7.65191 3.68496i 1.33203 0.641470i
\(34\) 7.04312 + 8.83179i 1.20788 + 1.51464i
\(35\) −8.39317 + 1.55673i −1.41870 + 0.263136i
\(36\) 0.0706998 0.0886547i 0.0117833 0.0147758i
\(37\) 1.96551 8.61146i 0.323128 1.41572i −0.508825 0.860870i \(-0.669920\pi\)
0.831953 0.554846i \(-0.187223\pi\)
\(38\) 4.23342 5.30854i 0.686751 0.861159i
\(39\) −1.67867 + 0.808405i −0.268802 + 0.129448i
\(40\) 5.29797 + 6.64344i 0.837683 + 1.05042i
\(41\) 4.09940 + 1.97417i 0.640218 + 0.308313i 0.725684 0.688028i \(-0.241524\pi\)
−0.0854657 + 0.996341i \(0.527238\pi\)
\(42\) 3.47134 6.51113i 0.535639 1.00469i
\(43\) 7.13531 3.43618i 1.08812 0.524013i 0.198219 0.980158i \(-0.436484\pi\)
0.889906 + 0.456145i \(0.150770\pi\)
\(44\) 0.987793 + 0.475696i 0.148915 + 0.0717139i
\(45\) 0.338477 + 1.48297i 0.0504572 + 0.221067i
\(46\) 7.41930 + 3.57295i 1.09392 + 0.526803i
\(47\) 0.663491 0.831992i 0.0967801 0.121358i −0.731083 0.682288i \(-0.760985\pi\)
0.827863 + 0.560930i \(0.189556\pi\)
\(48\) −8.24121 −1.18952
\(49\) 2.11149 6.67395i 0.301641 0.953421i
\(50\) 8.09760 1.14517
\(51\) 8.76690 10.9933i 1.22761 1.53938i
\(52\) −0.216701 0.104358i −0.0300511 0.0144718i
\(53\) −2.34585 10.2778i −0.322227 1.41177i −0.833580 0.552398i \(-0.813713\pi\)
0.511353 0.859371i \(-0.329144\pi\)
\(54\) 6.35347 + 3.05967i 0.864598 + 0.416368i
\(55\) −13.2506 + 6.38115i −1.78671 + 0.860435i
\(56\) −6.85114 + 1.27073i −0.915523 + 0.169808i
\(57\) −7.61470 3.66705i −1.00859 0.485712i
\(58\) −7.38279 9.25772i −0.969408 1.21560i
\(59\) −3.16067 + 1.52210i −0.411485 + 0.198161i −0.628162 0.778083i \(-0.716192\pi\)
0.216677 + 0.976243i \(0.430478\pi\)
\(60\) −0.901484 + 1.13043i −0.116381 + 0.145937i
\(61\) −1.26904 + 5.56002i −0.162484 + 0.711887i 0.826386 + 0.563104i \(0.190393\pi\)
−0.988870 + 0.148784i \(0.952464\pi\)
\(62\) −7.02278 + 8.80629i −0.891894 + 1.11840i
\(63\) −1.20367 0.327180i −0.151648 0.0412208i
\(64\) 4.25247 + 5.33243i 0.531559 + 0.666554i
\(65\) 2.90691 1.39989i 0.360557 0.173635i
\(66\) 2.82882 12.3939i 0.348204 1.52558i
\(67\) 5.37417 0.656559 0.328280 0.944581i \(-0.393531\pi\)
0.328280 + 0.944581i \(0.393531\pi\)
\(68\) 1.81515 0.220119
\(69\) 2.28090 9.99326i 0.274588 1.20305i
\(70\) −6.01122 + 11.2751i −0.718478 + 1.34764i
\(71\) 1.51892 + 6.65483i 0.180263 + 0.789783i 0.981504 + 0.191441i \(0.0613162\pi\)
−0.801241 + 0.598341i \(0.795827\pi\)
\(72\) 0.276291 + 1.21051i 0.0325612 + 0.142660i
\(73\) 2.88891 + 3.62258i 0.338122 + 0.423991i 0.921602 0.388136i \(-0.126881\pi\)
−0.583480 + 0.812127i \(0.698309\pi\)
\(74\) −8.24343 10.3369i −0.958280 1.20164i
\(75\) −2.24289 9.82676i −0.258987 1.13470i
\(76\) −0.242778 1.06368i −0.0278486 0.122013i
\(77\) 0.494414 12.0500i 0.0563437 1.37323i
\(78\) −0.620584 + 2.71896i −0.0702673 + 0.307861i
\(79\) −10.2738 −1.15590 −0.577949 0.816073i \(-0.696147\pi\)
−0.577949 + 0.816073i \(0.696147\pi\)
\(80\) 14.2711 1.59556
\(81\) 2.26795 9.93655i 0.251995 1.10406i
\(82\) 6.13613 2.95500i 0.677622 0.326326i
\(83\) −1.25401 1.57248i −0.137646 0.172602i 0.708231 0.705981i \(-0.249494\pi\)
−0.845877 + 0.533379i \(0.820922\pi\)
\(84\) −0.470209 1.08842i −0.0513040 0.118757i
\(85\) −15.1814 + 19.0369i −1.64665 + 2.06484i
\(86\) 2.63784 11.5571i 0.284445 1.24624i
\(87\) −9.18970 + 11.5235i −0.985240 + 1.23545i
\(88\) −10.8162 + 5.20879i −1.15301 + 0.555258i
\(89\) 8.37947 + 10.5075i 0.888222 + 1.11380i 0.992860 + 0.119285i \(0.0380602\pi\)
−0.104638 + 0.994510i \(0.533368\pi\)
\(90\) 2.05136 + 0.987885i 0.216233 + 0.104132i
\(91\) −0.108464 + 2.64353i −0.0113701 + 0.277117i
\(92\) 1.19218 0.574122i 0.124293 0.0598563i
\(93\) 12.6320 + 6.08323i 1.30987 + 0.630802i
\(94\) −0.354447 1.55293i −0.0365584 0.160173i
\(95\) 13.1862 + 6.35012i 1.35287 + 0.651509i
\(96\) −1.57231 + 1.97162i −0.160473 + 0.201227i
\(97\) −0.268125 −0.0272240 −0.0136120 0.999907i \(-0.504333\pi\)
−0.0136120 + 0.999907i \(0.504333\pi\)
\(98\) −5.83978 8.69957i −0.589907 0.878789i
\(99\) −2.14902 −0.215985
\(100\) 0.811266 1.01730i 0.0811266 0.101730i
\(101\) −4.56007 2.19601i −0.453744 0.218512i 0.193031 0.981193i \(-0.438168\pi\)
−0.646775 + 0.762681i \(0.723883\pi\)
\(102\) −4.68341 20.5194i −0.463727 2.03172i
\(103\) 0.512766 + 0.246935i 0.0505243 + 0.0243312i 0.458975 0.888449i \(-0.348217\pi\)
−0.408451 + 0.912780i \(0.633931\pi\)
\(104\) 2.37284 1.14270i 0.232676 0.112051i
\(105\) 15.3478 + 4.17183i 1.49779 + 0.407129i
\(106\) −14.2172 6.84663i −1.38089 0.665003i
\(107\) −6.21656 7.79532i −0.600978 0.753602i 0.384552 0.923103i \(-0.374356\pi\)
−0.985530 + 0.169501i \(0.945784\pi\)
\(108\) 1.02091 0.491645i 0.0982373 0.0473086i
\(109\) −3.59582 + 4.50901i −0.344417 + 0.431885i −0.923627 0.383294i \(-0.874790\pi\)
0.579210 + 0.815178i \(0.303361\pi\)
\(110\) −4.89859 + 21.4621i −0.467062 + 2.04633i
\(111\) −10.2610 + 12.8669i −0.973930 + 1.22127i
\(112\) −5.50557 + 10.3267i −0.520228 + 0.975783i
\(113\) 2.03374 + 2.55023i 0.191319 + 0.239906i 0.868234 0.496155i \(-0.165255\pi\)
−0.676915 + 0.736061i \(0.736684\pi\)
\(114\) −11.3980 + 5.48897i −1.06752 + 0.514089i
\(115\) −3.94976 + 17.3051i −0.368317 + 1.61370i
\(116\) −1.90269 −0.176660
\(117\) 0.471451 0.0435857
\(118\) −1.16846 + 5.11937i −0.107566 + 0.471277i
\(119\) −7.91853 18.3296i −0.725890 1.68027i
\(120\) −3.52295 15.4351i −0.321600 1.40902i
\(121\) −2.17586 9.53308i −0.197806 0.866644i
\(122\) 5.32240 + 6.67408i 0.481867 + 0.604243i
\(123\) −5.28561 6.62794i −0.476587 0.597622i
\(124\) 0.402743 + 1.76453i 0.0361674 + 0.158460i
\(125\) 0.294223 + 1.28907i 0.0263161 + 0.115298i
\(126\) −1.50623 + 1.10328i −0.134186 + 0.0982878i
\(127\) 2.26528 9.92483i 0.201011 0.880686i −0.769312 0.638873i \(-0.779401\pi\)
0.970323 0.241813i \(-0.0777421\pi\)
\(128\) 12.9160 1.14163
\(129\) −14.7557 −1.29916
\(130\) 1.07465 4.70835i 0.0942530 0.412949i
\(131\) 0.00145607 0.000701208i 0.000127218 6.12648e-5i −0.433820 0.900999i \(-0.642835\pi\)
0.433947 + 0.900938i \(0.357120\pi\)
\(132\) −1.27362 1.59707i −0.110855 0.139007i
\(133\) −9.68204 + 7.09187i −0.839540 + 0.614943i
\(134\) 5.01551 6.28925i 0.433274 0.543308i
\(135\) −3.38235 + 14.8191i −0.291107 + 1.27542i
\(136\) −12.3922 + 15.5394i −1.06262 + 1.33249i
\(137\) 5.16899 2.48925i 0.441617 0.212671i −0.199843 0.979828i \(-0.564043\pi\)
0.641460 + 0.767156i \(0.278329\pi\)
\(138\) −9.56617 11.9956i −0.814327 1.02113i
\(139\) −14.0179 6.75066i −1.18898 0.572583i −0.268466 0.963289i \(-0.586517\pi\)
−0.920515 + 0.390706i \(0.872231\pi\)
\(140\) 0.814248 + 1.88480i 0.0688165 + 0.159294i
\(141\) −1.78637 + 0.860270i −0.150439 + 0.0724478i
\(142\) 9.20552 + 4.43315i 0.772510 + 0.372021i
\(143\) 1.01432 + 4.44403i 0.0848218 + 0.371628i
\(144\) 1.87881 + 0.904786i 0.156567 + 0.0753989i
\(145\) 15.9136 19.9550i 1.32155 1.65717i
\(146\) 6.93553 0.573988
\(147\) −8.93975 + 9.49642i −0.737338 + 0.783252i
\(148\) −2.12450 −0.174633
\(149\) −5.92760 + 7.43298i −0.485608 + 0.608933i −0.962915 0.269803i \(-0.913041\pi\)
0.477308 + 0.878736i \(0.341613\pi\)
\(150\) −13.5932 6.54614i −1.10988 0.534490i
\(151\) −3.61158 15.8234i −0.293906 1.28769i −0.879039 0.476749i \(-0.841815\pi\)
0.585133 0.810937i \(-0.301042\pi\)
\(152\) 10.7636 + 5.18346i 0.873040 + 0.420434i
\(153\) −3.20559 + 1.54373i −0.259157 + 0.124803i
\(154\) −13.6404 11.8244i −1.09918 0.952841i
\(155\) −21.8744 10.5342i −1.75700 0.846124i
\(156\) 0.279407 + 0.350365i 0.0223704 + 0.0280516i
\(157\) 14.4216 6.94508i 1.15097 0.554278i 0.241645 0.970365i \(-0.422313\pi\)
0.909325 + 0.416087i \(0.136599\pi\)
\(158\) −9.58819 + 12.0232i −0.762795 + 0.956515i
\(159\) −4.37074 + 19.1495i −0.346623 + 1.51865i
\(160\) 2.72273 3.41420i 0.215251 0.269916i
\(161\) −10.9984 9.53412i −0.866792 0.751394i
\(162\) −9.51189 11.9275i −0.747325 0.937116i
\(163\) 13.0645 6.29152i 1.02329 0.492790i 0.154511 0.987991i \(-0.450620\pi\)
0.868778 + 0.495201i \(0.164906\pi\)
\(164\) 0.243519 1.06693i 0.0190156 0.0833129i
\(165\) 27.4019 2.13324
\(166\) −3.01055 −0.233664
\(167\) 1.13119 4.95605i 0.0875338 0.383511i −0.912117 0.409930i \(-0.865553\pi\)
0.999651 + 0.0264190i \(0.00841042\pi\)
\(168\) 12.5281 + 3.40537i 0.966562 + 0.262730i
\(169\) −0.222521 0.974928i −0.0171170 0.0749945i
\(170\) 8.11013 + 35.5328i 0.622019 + 2.72524i
\(171\) 1.33338 + 1.67200i 0.101966 + 0.127861i
\(172\) −1.18764 1.48925i −0.0905565 0.113554i
\(173\) 2.36061 + 10.3425i 0.179474 + 0.786327i 0.981873 + 0.189539i \(0.0606994\pi\)
−0.802399 + 0.596788i \(0.796443\pi\)
\(174\) 4.90928 + 21.5089i 0.372171 + 1.63059i
\(175\) −13.8119 3.75433i −1.04408 0.283800i
\(176\) −4.48653 + 19.6568i −0.338185 + 1.48169i
\(177\) 6.53620 0.491291
\(178\) 20.1169 1.50783
\(179\) −0.706760 + 3.09652i −0.0528258 + 0.231445i −0.994448 0.105225i \(-0.966444\pi\)
0.941623 + 0.336670i \(0.109301\pi\)
\(180\) 0.329625 0.158739i 0.0245688 0.0118317i
\(181\) −1.78173 2.23422i −0.132435 0.166068i 0.711192 0.702998i \(-0.248156\pi\)
−0.843627 + 0.536929i \(0.819584\pi\)
\(182\) 2.99243 + 2.59404i 0.221813 + 0.192283i
\(183\) 6.62504 8.30754i 0.489737 0.614111i
\(184\) −3.22410 + 14.1257i −0.237684 + 1.04136i
\(185\) 17.7687 22.2812i 1.30638 1.63815i
\(186\) 18.9080 9.10560i 1.38640 0.667655i
\(187\) −21.4484 26.8954i −1.56846 1.96679i
\(188\) −0.230604 0.111053i −0.0168185 0.00809938i
\(189\) −9.41837 8.16448i −0.685086 0.593879i
\(190\) 19.7375 9.50510i 1.43191 0.689572i
\(191\) −10.0448 4.83733i −0.726817 0.350017i 0.0336142 0.999435i \(-0.489298\pi\)
−0.760432 + 0.649418i \(0.775013\pi\)
\(192\) −2.82773 12.3891i −0.204074 0.894107i
\(193\) 17.2876 + 8.32525i 1.24439 + 0.599264i 0.936001 0.351997i \(-0.114497\pi\)
0.308384 + 0.951262i \(0.400212\pi\)
\(194\) −0.250231 + 0.313780i −0.0179656 + 0.0225281i
\(195\) −6.01142 −0.430487
\(196\) −1.67798 0.137928i −0.119856 0.00985198i
\(197\) 4.75321 0.338652 0.169326 0.985560i \(-0.445841\pi\)
0.169326 + 0.985560i \(0.445841\pi\)
\(198\) −2.00560 + 2.51495i −0.142532 + 0.178730i
\(199\) 19.3764 + 9.33117i 1.37355 + 0.661469i 0.967615 0.252431i \(-0.0812300\pi\)
0.405940 + 0.913900i \(0.366944\pi\)
\(200\) 3.17038 + 13.8904i 0.224180 + 0.982196i
\(201\) −9.02146 4.34450i −0.636324 0.306438i
\(202\) −6.82568 + 3.28707i −0.480253 + 0.231278i
\(203\) 8.30042 + 19.2136i 0.582575 + 1.34853i
\(204\) −3.04704 1.46738i −0.213335 0.102737i
\(205\) 9.15295 + 11.4774i 0.639269 + 0.801619i
\(206\) 0.767527 0.369621i 0.0534761 0.0257527i
\(207\) −1.61713 + 2.02782i −0.112398 + 0.140943i
\(208\) 0.984252 4.31229i 0.0682456 0.299004i
\(209\) −12.8920 + 16.1661i −0.891760 + 1.11823i
\(210\) 19.2057 14.0678i 1.32532 0.970767i
\(211\) 4.17602 + 5.23657i 0.287489 + 0.360500i 0.904514 0.426444i \(-0.140234\pi\)
−0.617025 + 0.786944i \(0.711662\pi\)
\(212\) −2.28450 + 1.10016i −0.156900 + 0.0755590i
\(213\) 2.83003 12.3992i 0.193910 0.849577i
\(214\) −14.9243 −1.02021
\(215\) 25.5520 1.74263
\(216\) −2.76094 + 12.0965i −0.187858 + 0.823059i
\(217\) 16.0615 11.7646i 1.09032 0.798636i
\(218\) 1.92094 + 8.41618i 0.130102 + 0.570016i
\(219\) −1.92102 8.41653i −0.129810 0.568737i
\(220\) 2.20550 + 2.76561i 0.148695 + 0.186457i
\(221\) 4.70533 + 5.90030i 0.316515 + 0.396897i
\(222\) 5.48157 + 24.0163i 0.367899 + 1.61187i
\(223\) −3.73430 16.3610i −0.250067 1.09562i −0.931502 0.363737i \(-0.881501\pi\)
0.681435 0.731879i \(-0.261356\pi\)
\(224\) 1.42016 + 3.28734i 0.0948884 + 0.219645i
\(225\) −0.567532 + 2.48652i −0.0378354 + 0.165768i
\(226\) 4.88249 0.324778
\(227\) 25.3580 1.68307 0.841536 0.540201i \(-0.181652\pi\)
0.841536 + 0.540201i \(0.181652\pi\)
\(228\) −0.452341 + 1.98183i −0.0299570 + 0.131250i
\(229\) −20.1167 + 9.68772i −1.32935 + 0.640182i −0.957587 0.288144i \(-0.906962\pi\)
−0.371765 + 0.928327i \(0.621247\pi\)
\(230\) 16.5655 + 20.7725i 1.09230 + 1.36970i
\(231\) −10.5713 + 19.8283i −0.695538 + 1.30461i
\(232\) 12.9899 16.2888i 0.852827 1.06941i
\(233\) −1.47533 + 6.46385i −0.0966522 + 0.423461i −0.999985 0.00547938i \(-0.998256\pi\)
0.903333 + 0.428940i \(0.141113\pi\)
\(234\) 0.439988 0.551727i 0.0287629 0.0360676i
\(235\) 3.09341 1.48971i 0.201792 0.0971777i
\(236\) 0.526079 + 0.659682i 0.0342448 + 0.0429416i
\(237\) 17.2464 + 8.30542i 1.12027 + 0.539495i
\(238\) −28.8407 7.83945i −1.86946 0.508156i
\(239\) −9.91060 + 4.77269i −0.641063 + 0.308720i −0.726029 0.687664i \(-0.758636\pi\)
0.0849657 + 0.996384i \(0.472922\pi\)
\(240\) −23.9564 11.5368i −1.54638 0.744698i
\(241\) −3.91596 17.1570i −0.252249 1.10518i −0.929325 0.369263i \(-0.879610\pi\)
0.677075 0.735914i \(-0.263247\pi\)
\(242\) −13.1870 6.35051i −0.847691 0.408226i
\(243\) −3.02784 + 3.79679i −0.194236 + 0.243564i
\(244\) 1.37169 0.0878133
\(245\) 15.4807 16.4447i 0.989027 1.05061i
\(246\) −12.6894 −0.809045
\(247\) 2.82824 3.54650i 0.179957 0.225659i
\(248\) −17.8556 8.59879i −1.13383 0.546024i
\(249\) 0.833870 + 3.65342i 0.0528444 + 0.231526i
\(250\) 1.78316 + 0.858723i 0.112777 + 0.0543104i
\(251\) 15.2503 7.34415i 0.962589 0.463558i 0.114506 0.993423i \(-0.463471\pi\)
0.848083 + 0.529864i \(0.177757\pi\)
\(252\) −0.0122991 + 0.299759i −0.000774773 + 0.0188831i
\(253\) −22.5940 10.8807i −1.42047 0.684064i
\(254\) −9.50067 11.9135i −0.596125 0.747517i
\(255\) 40.8741 19.6839i 2.55963 1.23265i
\(256\) 3.54912 4.45046i 0.221820 0.278154i
\(257\) −1.84132 + 8.06733i −0.114858 + 0.503226i 0.884471 + 0.466596i \(0.154520\pi\)
−0.999329 + 0.0366307i \(0.988337\pi\)
\(258\) −13.7709 + 17.2682i −0.857339 + 1.07507i
\(259\) 9.26804 + 21.4534i 0.575888 + 1.33305i
\(260\) −0.483841 0.606717i −0.0300065 0.0376270i
\(261\) 3.36019 1.61818i 0.207990 0.100163i
\(262\) 0.000538293 0.00235842i 3.32559e−5 0.000145703i
\(263\) 6.01748 0.371054 0.185527 0.982639i \(-0.440601\pi\)
0.185527 + 0.982639i \(0.440601\pi\)
\(264\) 22.3676 1.37663
\(265\) 7.56870 33.1606i 0.464942 2.03704i
\(266\) −0.736458 + 17.9492i −0.0451551 + 1.10054i
\(267\) −5.57203 24.4127i −0.341003 1.49403i
\(268\) −0.287630 1.26019i −0.0175698 0.0769783i
\(269\) −8.21987 10.3074i −0.501174 0.628453i 0.465319 0.885143i \(-0.345939\pi\)
−0.966494 + 0.256690i \(0.917368\pi\)
\(270\) 14.1857 + 17.7884i 0.863317 + 1.08256i
\(271\) −3.69065 16.1698i −0.224191 0.982246i −0.954285 0.298899i \(-0.903381\pi\)
0.730094 0.683347i \(-0.239476\pi\)
\(272\) 7.42793 + 32.5439i 0.450384 + 1.97326i
\(273\) 2.31912 4.34993i 0.140359 0.263270i
\(274\) 1.91091 8.37226i 0.115443 0.505787i
\(275\) −24.6596 −1.48703
\(276\) −2.46539 −0.148399
\(277\) 5.03853 22.0752i 0.302736 1.32637i −0.563243 0.826291i \(-0.690446\pi\)
0.865979 0.500081i \(-0.166696\pi\)
\(278\) −20.9825 + 10.1046i −1.25845 + 0.606035i
\(279\) −2.21193 2.77367i −0.132425 0.166056i
\(280\) −21.6945 5.89699i −1.29650 0.352412i
\(281\) −6.90247 + 8.65542i −0.411767 + 0.516339i −0.943860 0.330347i \(-0.892834\pi\)
0.532093 + 0.846686i \(0.321406\pi\)
\(282\) −0.660399 + 2.89340i −0.0393262 + 0.172299i
\(283\) −10.5580 + 13.2393i −0.627609 + 0.786997i −0.989393 0.145265i \(-0.953596\pi\)
0.361784 + 0.932262i \(0.382168\pi\)
\(284\) 1.47920 0.712343i 0.0877741 0.0422698i
\(285\) −17.0018 21.3195i −1.00710 1.26286i
\(286\) 6.14736 + 2.96041i 0.363501 + 0.175053i
\(287\) −11.8363 + 2.19535i −0.698672 + 0.129587i
\(288\) 0.574911 0.276863i 0.0338770 0.0163143i
\(289\) −35.9971 17.3353i −2.11748 1.01972i
\(290\) −8.50126 37.2465i −0.499211 2.18719i
\(291\) 0.450094 + 0.216754i 0.0263850 + 0.0127063i
\(292\) 0.694842 0.871305i 0.0406626 0.0509892i
\(293\) 24.9262 1.45620 0.728102 0.685469i \(-0.240403\pi\)
0.728102 + 0.685469i \(0.240403\pi\)
\(294\) 2.77029 + 19.3246i 0.161566 + 1.12703i
\(295\) −11.3186 −0.658992
\(296\) 14.5042 18.1876i 0.843037 1.05713i
\(297\) −19.3482 9.31761i −1.12270 0.540663i
\(298\) 3.16661 + 13.8738i 0.183437 + 0.803690i
\(299\) 4.95666 + 2.38700i 0.286651 + 0.138044i
\(300\) −2.18423 + 1.05187i −0.126107 + 0.0607298i
\(301\) −9.85757 + 18.4897i −0.568181 + 1.06573i
\(302\) −21.8882 10.5408i −1.25953 0.606555i
\(303\) 5.87958 + 7.37276i 0.337773 + 0.423554i
\(304\) 18.0773 8.70555i 1.03680 0.499298i
\(305\) −11.4724 + 14.3859i −0.656908 + 0.823737i
\(306\) −1.18507 + 5.19212i −0.0677459 + 0.296814i
\(307\) 3.44226 4.31645i 0.196460 0.246353i −0.673837 0.738880i \(-0.735355\pi\)
0.870297 + 0.492527i \(0.163927\pi\)
\(308\) −2.85207 + 0.528992i −0.162512 + 0.0301421i
\(309\) −0.661141 0.829045i −0.0376110 0.0471627i
\(310\) −32.7424 + 15.7679i −1.85965 + 0.895558i
\(311\) 1.90439 8.34368i 0.107988 0.473127i −0.891798 0.452434i \(-0.850556\pi\)
0.999786 0.0206925i \(-0.00658710\pi\)
\(312\) −4.90698 −0.277803
\(313\) 4.36627 0.246796 0.123398 0.992357i \(-0.460621\pi\)
0.123398 + 0.992357i \(0.460621\pi\)
\(314\) 5.33150 23.3588i 0.300874 1.31822i
\(315\) −3.04094 2.63609i −0.171337 0.148527i
\(316\) 0.549864 + 2.40911i 0.0309323 + 0.135523i
\(317\) −5.17027 22.6524i −0.290391 1.27229i −0.883982 0.467520i \(-0.845147\pi\)
0.593591 0.804767i \(-0.297710\pi\)
\(318\) 18.3311 + 22.9865i 1.02796 + 1.28902i
\(319\) 22.4828 + 28.1925i 1.25880 + 1.57848i
\(320\) 4.89671 + 21.4539i 0.273734 + 1.19931i
\(321\) 4.13378 + 18.1113i 0.230725 + 1.01087i
\(322\) −21.4219 + 3.97326i −1.19380 + 0.221421i
\(323\) −7.61762 + 33.3750i −0.423856 + 1.85703i
\(324\) −2.45140 −0.136189
\(325\) 5.40981 0.300082
\(326\) 4.82978 21.1607i 0.267497 1.17198i
\(327\) 9.68129 4.66227i 0.535377 0.257824i
\(328\) 7.47133 + 9.36876i 0.412535 + 0.517303i
\(329\) −0.115423 + 2.81313i −0.00636347 + 0.155093i
\(330\) 25.5732 32.0678i 1.40776 1.76527i
\(331\) −1.93692 + 8.48621i −0.106463 + 0.466444i 0.893390 + 0.449282i \(0.148320\pi\)
−0.999853 + 0.0171619i \(0.994537\pi\)
\(332\) −0.301615 + 0.378213i −0.0165533 + 0.0207572i
\(333\) 3.75190 1.80682i 0.205603 0.0990131i
\(334\) −4.74424 5.94909i −0.259593 0.325520i
\(335\) 15.6222 + 7.52326i 0.853533 + 0.411040i
\(336\) 17.5902 12.8844i 0.959624 0.702902i
\(337\) −31.9017 + 15.3631i −1.73780 + 0.836880i −0.754169 + 0.656681i \(0.771960\pi\)
−0.983630 + 0.180199i \(0.942326\pi\)
\(338\) −1.34860 0.649453i −0.0733544 0.0353256i
\(339\) −1.35236 5.92509i −0.0734503 0.321807i
\(340\) 5.27648 + 2.54102i 0.286157 + 0.137806i
\(341\) 21.3865 26.8178i 1.15814 1.45226i
\(342\) 3.20110 0.173095
\(343\) 5.92733 + 17.5461i 0.320046 + 0.947402i
\(344\) 20.8575 1.12456
\(345\) 20.6198 25.8565i 1.11013 1.39207i
\(346\) 14.3067 + 6.88972i 0.769130 + 0.370394i
\(347\) −5.75205 25.2014i −0.308786 1.35288i −0.856471 0.516196i \(-0.827348\pi\)
0.547684 0.836685i \(-0.315510\pi\)
\(348\) 3.19399 + 1.53814i 0.171216 + 0.0824532i
\(349\) 7.07185 3.40563i 0.378548 0.182299i −0.234928 0.972013i \(-0.575485\pi\)
0.613475 + 0.789714i \(0.289771\pi\)
\(350\) −17.2837 + 12.6599i −0.923852 + 0.676699i
\(351\) 4.24460 + 2.04409i 0.226560 + 0.109106i
\(352\) 3.84669 + 4.82360i 0.205029 + 0.257099i
\(353\) −14.5783 + 7.02056i −0.775927 + 0.373667i −0.779561 0.626327i \(-0.784558\pi\)
0.00363395 + 0.999993i \(0.498843\pi\)
\(354\) 6.09999 7.64915i 0.324211 0.406548i
\(355\) −4.90068 + 21.4713i −0.260101 + 1.13958i
\(356\) 2.01543 2.52727i 0.106818 0.133945i
\(357\) −1.52512 + 37.1707i −0.0807177 + 1.96728i
\(358\) 2.96418 + 3.71697i 0.156662 + 0.196448i
\(359\) 27.7925 13.3842i 1.46683 0.706390i 0.481408 0.876497i \(-0.340126\pi\)
0.985426 + 0.170107i \(0.0544113\pi\)
\(360\) −0.891432 + 3.90562i −0.0469826 + 0.205844i
\(361\) 1.57665 0.0829818
\(362\) −4.27747 −0.224819
\(363\) −4.05403 + 17.7619i −0.212782 + 0.932257i
\(364\) 0.625686 0.116050i 0.0327948 0.00608267i
\(365\) 3.32658 + 14.5747i 0.174121 + 0.762874i
\(366\) −3.53920 15.5062i −0.184997 0.810524i
\(367\) −9.68556 12.1453i −0.505582 0.633980i 0.461896 0.886934i \(-0.347169\pi\)
−0.967478 + 0.252954i \(0.918598\pi\)
\(368\) 15.1720 + 19.0251i 0.790897 + 0.991754i
\(369\) 0.477329 + 2.09132i 0.0248488 + 0.108870i
\(370\) −9.49229 41.5885i −0.493481 2.16208i
\(371\) 21.0755 + 18.2697i 1.09419 + 0.948514i
\(372\) 0.750384 3.28765i 0.0389056 0.170456i
\(373\) 29.4825 1.52655 0.763273 0.646076i \(-0.223591\pi\)
0.763273 + 0.646076i \(0.223591\pi\)
\(374\) −51.4920 −2.66259
\(375\) 0.548191 2.40178i 0.0283084 0.124027i
\(376\) 2.52508 1.21601i 0.130221 0.0627110i
\(377\) −4.93226 6.18486i −0.254024 0.318536i
\(378\) −18.3445 + 3.40247i −0.943539 + 0.175004i
\(379\) 21.0794 26.4328i 1.08278 1.35776i 0.153597 0.988134i \(-0.450914\pi\)
0.929181 0.369626i \(-0.120514\pi\)
\(380\) 0.783306 3.43189i 0.0401827 0.176052i
\(381\) −11.8259 + 14.8293i −0.605861 + 0.759726i
\(382\) −15.0355 + 7.24069i −0.769281 + 0.370466i
\(383\) 12.8496 + 16.1129i 0.656583 + 0.823329i 0.992966 0.118396i \(-0.0377752\pi\)
−0.336383 + 0.941725i \(0.609204\pi\)
\(384\) −21.6818 10.4414i −1.10644 0.532835i
\(385\) 18.3060 34.3362i 0.932959 1.74993i
\(386\) 25.8766 12.4615i 1.31709 0.634276i
\(387\) 3.36395 + 1.61999i 0.170999 + 0.0823489i
\(388\) 0.0143503 + 0.0628727i 0.000728525 + 0.00319188i
\(389\) 10.0933 + 4.86066i 0.511749 + 0.246445i 0.671893 0.740648i \(-0.265482\pi\)
−0.160144 + 0.987094i \(0.551196\pi\)
\(390\) −5.61023 + 7.03501i −0.284085 + 0.356231i
\(391\) −41.5183 −2.09967
\(392\) 12.6365 13.4234i 0.638242 0.677985i
\(393\) −0.00301113 −0.000151891
\(394\) 4.43599 5.56256i 0.223482 0.280238i
\(395\) −29.8651 14.3823i −1.50268 0.723651i
\(396\) 0.115018 + 0.503925i 0.00577985 + 0.0253232i
\(397\) −15.2891 7.36286i −0.767340 0.369531i 0.00890719 0.999960i \(-0.497165\pi\)
−0.776247 + 0.630429i \(0.782879\pi\)
\(398\) 29.0033 13.9672i 1.45380 0.700114i
\(399\) 21.9861 4.07790i 1.10068 0.204150i
\(400\) 21.5589 + 10.3822i 1.07795 + 0.519112i
\(401\) 20.3251 + 25.4869i 1.01499 + 1.27275i 0.961680 + 0.274175i \(0.0884048\pi\)
0.0533070 + 0.998578i \(0.483024\pi\)
\(402\) −13.5036 + 6.50301i −0.673501 + 0.324341i
\(403\) −4.69175 + 5.88327i −0.233713 + 0.293066i
\(404\) −0.270885 + 1.18682i −0.0134770 + 0.0590466i
\(405\) 20.5028 25.7097i 1.01879 1.27753i
\(406\) 30.2316 + 8.21753i 1.50037 + 0.407829i
\(407\) 25.1037 + 31.4791i 1.24435 + 1.56036i
\(408\) 33.3645 16.0675i 1.65179 0.795461i
\(409\) −0.632655 + 2.77184i −0.0312828 + 0.137059i −0.988158 0.153441i \(-0.950964\pi\)
0.956875 + 0.290500i \(0.0938216\pi\)
\(410\) 21.9738 1.08521
\(411\) −10.6894 −0.527267
\(412\) 0.0304601 0.133455i 0.00150066 0.00657484i
\(413\) 4.36653 8.19023i 0.214863 0.403015i
\(414\) 0.863896 + 3.78497i 0.0424582 + 0.186021i
\(415\) −1.44399 6.32654i −0.0708827 0.310557i
\(416\) −0.843885 1.05820i −0.0413749 0.0518824i
\(417\) 18.0741 + 22.6642i 0.885094 + 1.10987i
\(418\) 6.88711 + 30.1744i 0.336860 + 1.47588i
\(419\) 5.10024 + 22.3456i 0.249163 + 1.09165i 0.932391 + 0.361450i \(0.117718\pi\)
−0.683228 + 0.730205i \(0.739425\pi\)
\(420\) 0.156825 3.82219i 0.00765227 0.186504i
\(421\) −2.58131 + 11.3095i −0.125806 + 0.551190i 0.872261 + 0.489040i \(0.162653\pi\)
−0.998067 + 0.0621500i \(0.980204\pi\)
\(422\) 10.0255 0.488036
\(423\) 0.501699 0.0243934
\(424\) 6.17815 27.0683i 0.300038 1.31455i
\(425\) −36.7835 + 17.7140i −1.78426 + 0.859255i
\(426\) −11.8693 14.8836i −0.575068 0.721112i
\(427\) −5.98394 13.8514i −0.289583 0.670318i
\(428\) −1.49521 + 1.87493i −0.0722736 + 0.0906283i
\(429\) 1.88987 8.28004i 0.0912436 0.399764i
\(430\) 23.8467 29.9028i 1.14999 1.44204i
\(431\) 9.70981 4.67600i 0.467705 0.225235i −0.185161 0.982708i \(-0.559281\pi\)
0.652866 + 0.757473i \(0.273566\pi\)
\(432\) 12.9925 + 16.2920i 0.625101 + 0.783851i
\(433\) 18.3599 + 8.84166i 0.882321 + 0.424903i 0.819472 0.573120i \(-0.194267\pi\)
0.0628491 + 0.998023i \(0.479981\pi\)
\(434\) 1.22170 29.7758i 0.0586436 1.42928i
\(435\) −42.8453 + 20.6332i −2.05428 + 0.989287i
\(436\) 1.24977 + 0.601857i 0.0598531 + 0.0288237i
\(437\) 5.55312 + 24.3298i 0.265642 + 1.16385i
\(438\) −11.6425 5.60672i −0.556298 0.267899i
\(439\) −17.2897 + 21.6806i −0.825193 + 1.03476i 0.173559 + 0.984823i \(0.444473\pi\)
−0.998752 + 0.0499362i \(0.984098\pi\)
\(440\) −38.7333 −1.84654
\(441\) 3.08065 1.18349i 0.146698 0.0563567i
\(442\) 11.2963 0.537309
\(443\) 7.32561 9.18603i 0.348050 0.436441i −0.576735 0.816932i \(-0.695673\pi\)
0.924785 + 0.380490i \(0.124245\pi\)
\(444\) 3.56633 + 1.71745i 0.169250 + 0.0815067i
\(445\) 9.64894 + 42.2748i 0.457404 + 2.00402i
\(446\) −22.6320 10.8990i −1.07165 0.516082i
\(447\) 15.9593 7.68561i 0.754851 0.363517i
\(448\) −17.4133 4.73328i −0.822703 0.223626i
\(449\) −7.56238 3.64185i −0.356891 0.171870i 0.246843 0.969055i \(-0.420607\pi\)
−0.603734 + 0.797186i \(0.706321\pi\)
\(450\) 2.38025 + 2.98474i 0.112206 + 0.140702i
\(451\) −18.6863 + 8.99887i −0.879906 + 0.423740i
\(452\) 0.489157 0.613383i 0.0230080 0.0288511i
\(453\) −6.72903 + 29.4818i −0.316157 + 1.38518i
\(454\) 23.6657 29.6759i 1.11069 1.39276i
\(455\) −4.01595 + 7.53265i −0.188271 + 0.353136i
\(456\) −13.8781 17.4026i −0.649903 0.814953i
\(457\) 18.1235 8.72783i 0.847783 0.408271i 0.0410288 0.999158i \(-0.486936\pi\)
0.806754 + 0.590887i \(0.201222\pi\)
\(458\) −7.43692 + 32.5833i −0.347505 + 1.52252i
\(459\) −35.5540 −1.65952
\(460\) 4.26925 0.199055
\(461\) 2.23198 9.77895i 0.103954 0.455451i −0.895982 0.444091i \(-0.853527\pi\)
0.999935 0.0113603i \(-0.00361617\pi\)
\(462\) 13.3388 + 30.8763i 0.620579 + 1.43650i
\(463\) −2.25534 9.88127i −0.104814 0.459222i −0.999911 0.0133493i \(-0.995751\pi\)
0.895097 0.445872i \(-0.147106\pi\)
\(464\) −7.78616 34.1134i −0.361463 1.58367i
\(465\) 28.2041 + 35.3668i 1.30793 + 1.64009i
\(466\) 6.18761 + 7.75901i 0.286635 + 0.359429i
\(467\) −4.04568 17.7253i −0.187212 0.820229i −0.978078 0.208240i \(-0.933227\pi\)
0.790866 0.611989i \(-0.209631\pi\)
\(468\) −0.0252325 0.110551i −0.00116637 0.00511020i
\(469\) −11.4707 + 8.40204i −0.529669 + 0.387970i
\(470\) 1.14360 5.01042i 0.0527501 0.231113i
\(471\) −29.8236 −1.37420
\(472\) −9.23908 −0.425263
\(473\) −8.03301 + 35.1949i −0.369358 + 1.61826i
\(474\) 25.8150 12.4319i 1.18572 0.571014i
\(475\) 15.3003 + 19.1859i 0.702024 + 0.880310i
\(476\) −3.87429 + 2.83783i −0.177578 + 0.130072i
\(477\) 3.09881 3.88579i 0.141885 0.177918i
\(478\) −3.66383 + 16.0523i −0.167580 + 0.734215i
\(479\) 8.04077 10.0828i 0.367392 0.460695i −0.563432 0.826162i \(-0.690519\pi\)
0.930824 + 0.365467i \(0.119091\pi\)
\(480\) −7.33062 + 3.53024i −0.334595 + 0.161133i
\(481\) −5.50724 6.90586i −0.251108 0.314880i
\(482\) −23.7330 11.4292i −1.08101 0.520586i
\(483\) 10.7552 + 24.8958i 0.489378 + 1.13280i
\(484\) −2.11896 + 1.02044i −0.0963163 + 0.0463835i
\(485\) −0.779416 0.375347i −0.0353914 0.0170436i
\(486\) 1.61752 + 7.08681i 0.0733721 + 0.321464i
\(487\) −25.7302 12.3910i −1.16595 0.561490i −0.252160 0.967685i \(-0.581141\pi\)
−0.913786 + 0.406195i \(0.866855\pi\)
\(488\) −9.36465 + 11.7429i −0.423918 + 0.531576i
\(489\) −27.0170 −1.22175
\(490\) −4.79723 33.4639i −0.216717 1.51175i
\(491\) 5.75537 0.259736 0.129868 0.991531i \(-0.458545\pi\)
0.129868 + 0.991531i \(0.458545\pi\)
\(492\) −1.27130 + 1.59415i −0.0573145 + 0.0718701i
\(493\) 53.7883 + 25.9031i 2.42250 + 1.16662i
\(494\) −1.51089 6.61964i −0.0679781 0.297832i
\(495\) −6.24702 3.00840i −0.280783 0.135218i
\(496\) −29.9882 + 14.4416i −1.34651 + 0.648445i
\(497\) −13.6462 11.8295i −0.612118 0.530625i
\(498\) 5.05373 + 2.43375i 0.226463 + 0.109059i
\(499\) 1.90014 + 2.38270i 0.0850619 + 0.106664i 0.822541 0.568705i \(-0.192556\pi\)
−0.737479 + 0.675370i \(0.763984\pi\)
\(500\) 0.286528 0.137984i 0.0128139 0.00617085i
\(501\) −5.90538 + 7.40511i −0.263833 + 0.330836i
\(502\) 5.63785 24.7010i 0.251629 1.10246i
\(503\) −11.8095 + 14.8087i −0.526560 + 0.660285i −0.971987 0.235033i \(-0.924480\pi\)
0.445427 + 0.895318i \(0.353052\pi\)
\(504\) −2.48225 2.15178i −0.110568 0.0958478i
\(505\) −10.1815 12.7672i −0.453071 0.568134i
\(506\) −33.8195 + 16.2866i −1.50346 + 0.724029i
\(507\) −0.414597 + 1.81647i −0.0184129 + 0.0806722i
\(508\) −2.44851 −0.108635
\(509\) 22.7019 1.00624 0.503122 0.864215i \(-0.332185\pi\)
0.503122 + 0.864215i \(0.332185\pi\)
\(510\) 15.1107 66.2041i 0.669111 2.93157i
\(511\) −11.8297 3.21555i −0.523317 0.142248i
\(512\) 3.85219 + 16.8775i 0.170244 + 0.745889i
\(513\) 4.75538 + 20.8347i 0.209955 + 0.919873i
\(514\) 7.72256 + 9.68378i 0.340627 + 0.427133i
\(515\) 1.14488 + 1.43563i 0.0504495 + 0.0632616i
\(516\) 0.789734 + 3.46005i 0.0347661 + 0.152320i
\(517\) 1.07940 + 4.72915i 0.0474718 + 0.207988i
\(518\) 33.7558 + 9.17548i 1.48315 + 0.403147i
\(519\) 4.39825 19.2700i 0.193062 0.845859i
\(520\) 8.49728 0.372631
\(521\) 18.8302 0.824964 0.412482 0.910966i \(-0.364662\pi\)
0.412482 + 0.910966i \(0.364662\pi\)
\(522\) 1.24222 5.44253i 0.0543705 0.238213i
\(523\) −4.74340 + 2.28430i −0.207414 + 0.0998854i −0.534707 0.845038i \(-0.679578\pi\)
0.327293 + 0.944923i \(0.393864\pi\)
\(524\) −0.000242356 0 0.000303905i −1.05874e−5 0 1.32762e-5i
\(525\) 20.1505 + 17.4678i 0.879441 + 0.762359i
\(526\) 5.61589 7.04210i 0.244864 0.307050i
\(527\) 12.6368 55.3655i 0.550468 2.41176i
\(528\) 23.4221 29.3703i 1.01931 1.27818i
\(529\) −6.54662 + 3.15269i −0.284636 + 0.137073i
\(530\) −31.7435 39.8050i −1.37885 1.72902i
\(531\) −1.49010 0.717596i −0.0646650 0.0311410i
\(532\) 2.18116 + 1.89078i 0.0945654 + 0.0819757i
\(533\) 4.09940 1.97417i 0.177565 0.0855106i
\(534\) −33.7697 16.2626i −1.46136 0.703753i
\(535\) −7.15835 31.3628i −0.309483 1.35593i
\(536\) 12.7520 + 6.14106i 0.550804 + 0.265253i
\(537\) 3.68966 4.62669i 0.159221 0.199656i
\(538\) −19.7338 −0.850783
\(539\) 17.7839 + 26.4928i 0.766006 + 1.14113i
\(540\) 3.65595 0.157327
\(541\) −27.4460 + 34.4162i −1.18000 + 1.47967i −0.337201 + 0.941433i \(0.609480\pi\)
−0.842795 + 0.538235i \(0.819091\pi\)
\(542\) −22.3674 10.7716i −0.960764 0.462680i
\(543\) 1.18478 + 5.19088i 0.0508439 + 0.222762i
\(544\) 9.20290 + 4.43188i 0.394571 + 0.190015i
\(545\) −16.7648 + 8.07352i −0.718127 + 0.345832i
\(546\) −2.92626 6.77362i −0.125232 0.289884i
\(547\) 40.0742 + 19.2987i 1.71345 + 0.825153i 0.991021 + 0.133706i \(0.0426877\pi\)
0.722427 + 0.691447i \(0.243027\pi\)
\(548\) −0.860354 1.07885i −0.0367525 0.0460862i
\(549\) −2.42243 + 1.16658i −0.103387 + 0.0497884i
\(550\) −23.0139 + 28.8585i −0.981316 + 1.23053i
\(551\) 7.98500 34.9846i 0.340172 1.49039i
\(552\) 16.8315 21.1060i 0.716396 0.898332i
\(553\) 21.9287 16.0622i 0.932502 0.683036i
\(554\) −21.1318 26.4984i −0.897804 1.12581i
\(555\) −47.8400 + 23.0385i −2.03069 + 0.977931i
\(556\) −0.832713 + 3.64835i −0.0353149 + 0.154725i
\(557\) 2.64641 0.112132 0.0560661 0.998427i \(-0.482144\pi\)
0.0560661 + 0.998427i \(0.482144\pi\)
\(558\) −5.31027 −0.224802
\(559\) 1.76228 7.72103i 0.0745363 0.326565i
\(560\) −30.4605 + 22.3116i −1.28719 + 0.942836i
\(561\) 14.2624 + 62.4876i 0.602158 + 2.63823i
\(562\) 3.68740 + 16.1556i 0.155544 + 0.681481i
\(563\) −14.4957 18.1771i −0.610923 0.766073i 0.376113 0.926574i \(-0.377260\pi\)
−0.987036 + 0.160501i \(0.948689\pi\)
\(564\) 0.297333 + 0.372843i 0.0125200 + 0.0156995i
\(565\) 2.34185 + 10.2603i 0.0985224 + 0.431655i
\(566\) 5.64025 + 24.7115i 0.237077 + 1.03870i
\(567\) 10.6942 + 24.7545i 0.449112 + 1.03959i
\(568\) −4.00031 + 17.5265i −0.167849 + 0.735396i
\(569\) −16.2320 −0.680479 −0.340240 0.940339i \(-0.610508\pi\)
−0.340240 + 0.940339i \(0.610508\pi\)
\(570\) −40.8168 −1.70963
\(571\) −5.66299 + 24.8112i −0.236989 + 1.03832i 0.706709 + 0.707505i \(0.250179\pi\)
−0.943697 + 0.330810i \(0.892678\pi\)
\(572\) 0.987793 0.475696i 0.0413017 0.0198898i
\(573\) 12.9514 + 16.2406i 0.541053 + 0.678459i
\(574\) −8.47718 + 15.9005i −0.353831 + 0.663674i
\(575\) −18.5563 + 23.2688i −0.773849 + 0.970376i
\(576\) −0.715517 + 3.13488i −0.0298132 + 0.130620i
\(577\) −6.39113 + 8.01423i −0.266066 + 0.333637i −0.896860 0.442314i \(-0.854158\pi\)
0.630794 + 0.775950i \(0.282729\pi\)
\(578\) −53.8818 + 25.9481i −2.24119 + 1.07930i
\(579\) −22.2899 27.9507i −0.926338 1.16159i
\(580\) −5.53095 2.66356i −0.229660 0.110598i
\(581\) 5.13502 + 1.39580i 0.213036 + 0.0579074i
\(582\) 0.673717 0.324445i 0.0279265 0.0134487i
\(583\) 43.2955 + 20.8500i 1.79312 + 0.863520i
\(584\) 2.71541 + 11.8970i 0.112364 + 0.492300i
\(585\) 1.37047 + 0.659982i 0.0566618 + 0.0272869i
\(586\) 23.2627 29.1705i 0.960973 1.20502i
\(587\) 20.8509 0.860610 0.430305 0.902684i \(-0.358406\pi\)
0.430305 + 0.902684i \(0.358406\pi\)
\(588\) 2.70528 + 1.58802i 0.111564 + 0.0654890i
\(589\) −34.1344 −1.40648
\(590\) −10.5632 + 13.2458i −0.434880 + 0.545322i
\(591\) −7.97907 3.84252i −0.328215 0.158060i
\(592\) −8.69383 38.0901i −0.357314 1.56550i
\(593\) −30.8544 14.8587i −1.26704 0.610174i −0.325012 0.945710i \(-0.605368\pi\)
−0.942028 + 0.335536i \(0.891083\pi\)
\(594\) −28.9611 + 13.9469i −1.18829 + 0.572250i
\(595\) 2.64100 64.3675i 0.108271 2.63881i
\(596\) 2.06021 + 0.992144i 0.0843894 + 0.0406398i
\(597\) −24.9832 31.3279i −1.02249 1.28217i
\(598\) 7.41930 3.57295i 0.303398 0.146109i
\(599\) 7.73203 9.69566i 0.315922 0.396154i −0.598363 0.801225i \(-0.704182\pi\)
0.914285 + 0.405071i \(0.132753\pi\)
\(600\) 5.90700 25.8803i 0.241152 1.05656i
\(601\) 1.78693 2.24074i 0.0728905 0.0914018i −0.744049 0.668125i \(-0.767097\pi\)
0.816940 + 0.576723i \(0.195669\pi\)
\(602\) 12.4383 + 28.7918i 0.506947 + 1.17347i
\(603\) 1.57971 + 1.98089i 0.0643308 + 0.0806683i
\(604\) −3.51712 + 1.69376i −0.143110 + 0.0689180i
\(605\) 7.02026 30.7578i 0.285414 1.25048i
\(606\) 14.1153 0.573397
\(607\) 3.43867 0.139571 0.0697856 0.997562i \(-0.477768\pi\)
0.0697856 + 0.997562i \(0.477768\pi\)
\(608\) 1.36619 5.98568i 0.0554065 0.242752i
\(609\) 1.59867 38.9633i 0.0647813 1.57887i
\(610\) 6.12873 + 26.8517i 0.248145 + 1.08719i
\(611\) −0.236797 1.03748i −0.00957979 0.0419718i
\(612\) 0.533555 + 0.669057i 0.0215677 + 0.0270450i
\(613\) 0.957815 + 1.20106i 0.0386858 + 0.0485104i 0.800798 0.598934i \(-0.204409\pi\)
−0.762112 + 0.647445i \(0.775838\pi\)
\(614\) −1.83890 8.05677i −0.0742121 0.325145i
\(615\) −6.08636 26.6661i −0.245426 1.07528i
\(616\) 14.9427 28.0278i 0.602060 1.12927i
\(617\) 5.10760 22.3779i 0.205624 0.900899i −0.761815 0.647795i \(-0.775691\pi\)
0.967439 0.253104i \(-0.0814514\pi\)
\(618\) −1.58723 −0.0638477
\(619\) 11.5948 0.466035 0.233018 0.972472i \(-0.425140\pi\)
0.233018 + 0.972472i \(0.425140\pi\)
\(620\) −1.29942 + 5.69313i −0.0521859 + 0.228641i
\(621\) −23.3515 + 11.2455i −0.937065 + 0.451267i
\(622\) −7.98710 10.0155i −0.320253 0.401585i
\(623\) −34.3129 9.32690i −1.37472 0.373674i
\(624\) −5.13831 + 6.44324i −0.205697 + 0.257936i
\(625\) 5.06969 22.2118i 0.202788 0.888471i
\(626\) 4.07487 5.10973i 0.162865 0.204226i
\(627\) 34.7102 16.7156i 1.38619 0.667555i
\(628\) −2.40041 3.01002i −0.0957867 0.120113i
\(629\) 60.0586 + 28.9227i 2.39469 + 1.15322i
\(630\) −5.92294 + 1.09857i −0.235976 + 0.0437679i
\(631\) −16.5073 + 7.94952i −0.657147 + 0.316465i −0.732575 0.680686i \(-0.761682\pi\)
0.0754284 + 0.997151i \(0.475968\pi\)
\(632\) −24.3782 11.7399i −0.969712 0.466989i
\(633\) −2.77690 12.1664i −0.110372 0.483570i
\(634\) −31.3348 15.0900i −1.24446 0.599302i
\(635\) 20.4787 25.6794i 0.812671 1.01906i
\(636\) 4.72429 0.187330
\(637\) −3.90141 5.81197i −0.154580 0.230279i
\(638\) 53.9754 2.13690
\(639\) −2.00646 + 2.51602i −0.0793744 + 0.0995323i
\(640\) 37.5458 + 18.0811i 1.48413 + 0.714718i
\(641\) 6.12179 + 26.8213i 0.241796 + 1.05938i 0.939381 + 0.342876i \(0.111401\pi\)
−0.697584 + 0.716503i \(0.745742\pi\)
\(642\) 25.0530 + 12.0649i 0.988765 + 0.476164i
\(643\) −15.7110 + 7.56601i −0.619581 + 0.298374i −0.717219 0.696847i \(-0.754585\pi\)
0.0976384 + 0.995222i \(0.468871\pi\)
\(644\) −1.64701 + 3.08928i −0.0649015 + 0.121735i
\(645\) −42.8933 20.6563i −1.68892 0.813342i
\(646\) 31.9486 + 40.0623i 1.25700 + 1.57623i
\(647\) −4.95954 + 2.38839i −0.194979 + 0.0938972i −0.528826 0.848730i \(-0.677368\pi\)
0.333846 + 0.942627i \(0.391653\pi\)
\(648\) 16.7360 20.9863i 0.657451 0.824418i
\(649\) 3.55832 15.5900i 0.139676 0.611962i
\(650\) 5.04877 6.33096i 0.198029 0.248321i
\(651\) −36.4725 + 6.76479i −1.42947 + 0.265133i
\(652\) −2.17452 2.72676i −0.0851608 0.106788i
\(653\) −2.98942 + 1.43963i −0.116985 + 0.0563370i −0.491461 0.870900i \(-0.663537\pi\)
0.374476 + 0.927237i \(0.377823\pi\)
\(654\) 3.57906 15.6809i 0.139952 0.613171i
\(655\) 0.00521429 0.000203739
\(656\) 20.1255 0.785767
\(657\) −0.486086 + 2.12968i −0.0189640 + 0.0830868i
\(658\) 3.18441 + 2.76046i 0.124141 + 0.107614i
\(659\) 5.04476 + 22.1025i 0.196516 + 0.860993i 0.972991 + 0.230844i \(0.0741488\pi\)
−0.776475 + 0.630148i \(0.782994\pi\)
\(660\) −1.46657 6.42548i −0.0570863 0.250111i
\(661\) 4.08167 + 5.11826i 0.158759 + 0.199077i 0.854849 0.518878i \(-0.173650\pi\)
−0.696090 + 0.717955i \(0.745079\pi\)
\(662\) 8.12353 + 10.1866i 0.315730 + 0.395913i
\(663\) −3.12887 13.7085i −0.121515 0.532393i
\(664\) −1.17870 5.16420i −0.0457423 0.200410i
\(665\) −38.0727 + 7.06158i −1.47639 + 0.273836i
\(666\) 1.38703 6.07699i 0.0537464 0.235478i
\(667\) 43.5207 1.68513
\(668\) −1.22269 −0.0473071
\(669\) −6.95768 + 30.4836i −0.269000 + 1.17856i
\(670\) 23.3839 11.2611i 0.903399 0.435054i
\(671\) −16.2083 20.3246i −0.625714 0.784621i
\(672\) 0.273524 6.66643i 0.0105514 0.257163i
\(673\) −22.2566 + 27.9089i −0.857928 + 1.07581i 0.138416 + 0.990374i \(0.455799\pi\)
−0.996344 + 0.0854330i \(0.972773\pi\)
\(674\) −11.7937 + 51.6716i −0.454276 + 1.99031i
\(675\) −15.8905 + 19.9261i −0.611627 + 0.766956i
\(676\) −0.216701 + 0.104358i −0.00833466 + 0.00401376i
\(677\) 12.9661 + 16.2589i 0.498327 + 0.624882i 0.965851 0.259098i \(-0.0834254\pi\)
−0.467524 + 0.883980i \(0.654854\pi\)
\(678\) −8.19609 3.94703i −0.314769 0.151585i
\(679\) 0.572292 0.419190i 0.0219626 0.0160871i
\(680\) −57.7765 + 27.8237i −2.21563 + 1.06699i
\(681\) −42.5678 20.4996i −1.63120 0.785545i
\(682\) −11.4250 50.0561i −0.437485 1.91675i
\(683\) −25.1335 12.1037i −0.961707 0.463134i −0.113931 0.993489i \(-0.536344\pi\)
−0.847776 + 0.530355i \(0.822059\pi\)
\(684\) 0.320705 0.402151i 0.0122625 0.0153766i
\(685\) 18.5105 0.707249
\(686\) 26.0655 + 9.43855i 0.995187 + 0.360365i
\(687\) 41.6010 1.58718
\(688\) 21.8408 27.3875i 0.832672 1.04414i
\(689\) −9.49815 4.57407i −0.361851 0.174258i
\(690\) −11.0154 48.2617i −0.419350 1.83729i
\(691\) −13.7398 6.61674i −0.522687 0.251713i 0.153886 0.988089i \(-0.450821\pi\)
−0.676573 + 0.736376i \(0.736535\pi\)
\(692\) 2.29887 1.10708i 0.0873901 0.0420849i
\(693\) 4.58692 3.35981i 0.174243 0.127629i
\(694\) −34.8607 16.7880i −1.32329 0.637265i
\(695\) −31.2985 39.2471i −1.18722 1.48873i
\(696\) −34.9736 + 16.8424i −1.32567 + 0.638410i
\(697\) −21.4092 + 26.8463i −0.810932 + 1.01688i
\(698\) 2.61438 11.4543i 0.0989558 0.433554i
\(699\) 7.70201 9.65801i 0.291317 0.365300i
\(700\) −0.141130 + 3.43968i −0.00533422 + 0.130008i
\(701\) −2.35651 2.95496i −0.0890040 0.111607i 0.735335 0.677703i \(-0.237025\pi\)
−0.824339 + 0.566096i \(0.808453\pi\)
\(702\) 6.35347 3.05967i 0.239796 0.115480i
\(703\) 8.91585 39.0629i 0.336268 1.47328i
\(704\) −31.0897 −1.17174
\(705\) −6.39710 −0.240929
\(706\) −5.38944 + 23.6127i −0.202834 + 0.888675i
\(707\) 13.1664 2.44205i 0.495172 0.0918428i
\(708\) −0.349823 1.53267i −0.0131471 0.0576014i
\(709\) −0.743857 3.25905i −0.0279362 0.122396i 0.959037 0.283280i \(-0.0914227\pi\)
−0.986973 + 0.160884i \(0.948566\pi\)
\(710\) 20.5537 + 25.7735i 0.771366 + 0.967262i
\(711\) −3.01995 3.78689i −0.113257 0.142020i
\(712\) 7.87620 + 34.5079i 0.295173 + 1.29324i
\(713\) −9.21202 40.3605i −0.344993 1.51151i
\(714\) 42.0765 + 36.4748i 1.57468 + 1.36504i
\(715\) −3.27263 + 14.3383i −0.122389 + 0.536223i
\(716\) 0.763929 0.0285494
\(717\) 20.4949 0.765396
\(718\) 10.2746 45.0158i 0.383444 1.67998i
\(719\) −37.1056 + 17.8691i −1.38380 + 0.666405i −0.969807 0.243873i \(-0.921582\pi\)
−0.413997 + 0.910278i \(0.635868\pi\)
\(720\) 4.19492 + 5.26026i 0.156335 + 0.196038i
\(721\) −1.48052 + 0.274601i −0.0551374 + 0.0102267i
\(722\) 1.47143 1.84512i 0.0547610 0.0686682i
\(723\) −7.29616 + 31.9666i −0.271347 + 1.18885i
\(724\) −0.428542 + 0.537375i −0.0159266 + 0.0199714i
\(725\) 38.5575 18.5683i 1.43199 0.689609i
\(726\) 17.0028 + 21.3208i 0.631033 + 0.791290i
\(727\) −29.5961 14.2527i −1.09766 0.528605i −0.204738 0.978817i \(-0.565634\pi\)
−0.892922 + 0.450212i \(0.851348\pi\)
\(728\) −3.27813 + 6.14873i −0.121495 + 0.227887i
\(729\) −19.3962 + 9.34070i −0.718377 + 0.345952i
\(730\) 20.1609 + 9.70900i 0.746190 + 0.359346i
\(731\) 13.2995 + 58.2689i 0.491899 + 2.15515i
\(732\) −2.30261 1.10888i −0.0851070 0.0409854i
\(733\) −19.0900 + 23.9381i −0.705104 + 0.884173i −0.997393 0.0721574i \(-0.977012\pi\)
0.292289 + 0.956330i \(0.405583\pi\)
\(734\) −23.2525 −0.858265
\(735\) −39.2810 + 15.0905i −1.44890 + 0.556623i
\(736\) 7.44617 0.274469
\(737\) −15.2737 + 19.1526i −0.562615 + 0.705497i
\(738\) 2.89289 + 1.39314i 0.106489 + 0.0512822i
\(739\) 4.45587 + 19.5224i 0.163912 + 0.718144i 0.988351 + 0.152193i \(0.0486336\pi\)
−0.824439 + 0.565951i \(0.808509\pi\)
\(740\) −6.17572 2.97407i −0.227024 0.109329i
\(741\) −7.61470 + 3.66705i −0.279733 + 0.134712i
\(742\) 41.0495 7.61372i 1.50697 0.279508i
\(743\) 0.328203 + 0.158054i 0.0120406 + 0.00579845i 0.439894 0.898050i \(-0.355016\pi\)
−0.427854 + 0.903848i \(0.640730\pi\)
\(744\) 23.0223 + 28.8691i 0.844039 + 1.05839i
\(745\) −27.6364 + 13.3090i −1.01252 + 0.487603i
\(746\) 27.5149 34.5026i 1.00739 1.26323i
\(747\) 0.210999 0.924446i 0.00772004 0.0338237i
\(748\) −5.15878 + 6.46890i −0.188624 + 0.236526i
\(749\) 25.4560 + 6.91944i 0.930143 + 0.252831i
\(750\) −2.29914 2.88302i −0.0839525 0.105273i
\(751\) −24.6173 + 11.8551i −0.898299 + 0.432598i −0.825274 0.564732i \(-0.808979\pi\)
−0.0730246 + 0.997330i \(0.523265\pi\)
\(752\) 1.04740 4.58896i 0.0381947 0.167342i
\(753\) −31.5372 −1.14928
\(754\) −11.8411 −0.431226
\(755\) 11.6525 51.0528i 0.424077 1.85800i
\(756\) −1.41041 + 2.64548i −0.0512961 + 0.0962153i
\(757\) −8.87477 38.8829i −0.322559 1.41322i −0.832982 0.553300i \(-0.813368\pi\)
0.510423 0.859923i \(-0.329489\pi\)
\(758\) −11.2609 49.3374i −0.409016 1.79202i
\(759\) 29.1319 + 36.5302i 1.05742 + 1.32596i
\(760\) 24.0324 + 30.1357i 0.871746 + 1.09314i
\(761\) −0.710669 3.11364i −0.0257617 0.112870i 0.960412 0.278583i \(-0.0898646\pi\)
−0.986174 + 0.165713i \(0.947007\pi\)
\(762\) 6.31759 + 27.6792i 0.228862 + 1.00271i
\(763\) 0.625539 15.2459i 0.0226460 0.551937i
\(764\) −0.596698 + 2.61431i −0.0215878 + 0.0945823i
\(765\) −11.4794 −0.415039
\(766\) 30.8485 1.11460
\(767\) −0.780622 + 3.42013i −0.0281866 + 0.123494i
\(768\) −9.55558 + 4.60172i −0.344807 + 0.166050i
\(769\) −24.1257 30.2527i −0.869995 1.09094i −0.995108 0.0987967i \(-0.968501\pi\)
0.125113 0.992143i \(-0.460071\pi\)
\(770\) −23.0985 53.4677i −0.832412 1.92684i
\(771\) 9.61263 12.0539i 0.346190 0.434109i
\(772\) 1.02694 4.49933i 0.0369605 0.161934i
\(773\) −0.404479 + 0.507201i −0.0145481 + 0.0182428i −0.789052 0.614326i \(-0.789428\pi\)
0.774504 + 0.632569i \(0.217999\pi\)
\(774\) 5.03529 2.42487i 0.180990 0.0871600i
\(775\) −25.3815 31.8274i −0.911729