Properties

Label 770.2.n.f.141.2
Level $770$
Weight $2$
Character 770.141
Analytic conductor $6.148$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.n (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(2\) over \(\Q(\zeta_{5})\)
Coefficient field: 8.0.484000000.9
Defining polynomial: \(x^{8} + x^{6} + 16 x^{4} + 66 x^{2} + 121\)
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 141.2
Root \(1.73855 + 1.26313i\) of defining polynomial
Character \(\chi\) \(=\) 770.141
Dual form 770.2.n.f.71.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.309017 + 0.951057i) q^{2} +(2.54756 - 1.85091i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(0.309017 + 0.951057i) q^{5} +(0.973083 + 2.99484i) q^{6} +(0.809017 + 0.587785i) q^{7} +(0.809017 - 0.587785i) q^{8} +(2.13715 - 6.57747i) q^{9} +O(q^{10})\) \(q+(-0.309017 + 0.951057i) q^{2} +(2.54756 - 1.85091i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(0.309017 + 0.951057i) q^{5} +(0.973083 + 2.99484i) q^{6} +(0.809017 + 0.587785i) q^{7} +(0.809017 - 0.587785i) q^{8} +(2.13715 - 6.57747i) q^{9} -1.00000 q^{10} +(-3.22344 - 0.780656i) q^{11} -3.14896 q^{12} +(1.68070 - 5.17267i) q^{13} +(-0.809017 + 0.587785i) q^{14} +(2.54756 + 1.85091i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-0.147430 - 0.453742i) q^{17} +(5.59513 + 4.06510i) q^{18} +(4.78611 - 3.47731i) q^{19} +(0.309017 - 0.951057i) q^{20} +3.14896 q^{21} +(1.73855 - 2.82444i) q^{22} -2.65626 q^{23} +(0.973083 - 2.99484i) q^{24} +(-0.809017 + 0.587785i) q^{25} +(4.40013 + 3.19688i) q^{26} +(-3.81055 - 11.7277i) q^{27} +(-0.309017 - 0.951057i) q^{28} +(5.31303 + 3.86014i) q^{29} +(-2.54756 + 1.85091i) q^{30} +(-2.99423 + 9.21529i) q^{31} -1.00000 q^{32} +(-9.65685 + 3.97754i) q^{33} +0.477092 q^{34} +(-0.309017 + 0.951057i) q^{35} +(-5.59513 + 4.06510i) q^{36} +(3.69499 + 2.68457i) q^{37} +(1.82813 + 5.62641i) q^{38} +(-5.29246 - 16.2885i) q^{39} +(0.809017 + 0.587785i) q^{40} +(-2.04108 + 1.48293i) q^{41} +(-0.973083 + 2.99484i) q^{42} +11.9003 q^{43} +(2.14896 + 2.52626i) q^{44} +6.91596 q^{45} +(0.820830 - 2.52626i) q^{46} +(-7.62605 + 5.54065i) q^{47} +(2.54756 + 1.85091i) q^{48} +(0.309017 + 0.951057i) q^{49} +(-0.309017 - 0.951057i) q^{50} +(-1.21542 - 0.883056i) q^{51} +(-4.40013 + 3.19688i) q^{52} +(1.90167 - 5.85272i) q^{53} +12.3312 q^{54} +(-0.253650 - 3.30691i) q^{55} +1.00000 q^{56} +(5.75671 - 17.7173i) q^{57} +(-5.31303 + 3.86014i) q^{58} +(0.457978 + 0.332741i) q^{59} +(-0.973083 - 2.99484i) q^{60} +(0.633138 + 1.94860i) q^{61} +(-7.83900 - 5.69537i) q^{62} +(5.59513 - 4.06510i) q^{63} +(0.309017 - 0.951057i) q^{64} +5.43886 q^{65} +(-0.798735 - 10.4133i) q^{66} -1.24102 q^{67} +(-0.147430 + 0.453742i) q^{68} +(-6.76700 + 4.91651i) q^{69} +(-0.809017 - 0.587785i) q^{70} +(-1.11957 - 3.44567i) q^{71} +(-2.13715 - 6.57747i) q^{72} +(-12.6528 - 9.19282i) q^{73} +(-3.69499 + 2.68457i) q^{74} +(-0.973083 + 2.99484i) q^{75} -5.91596 q^{76} +(-2.14896 - 2.52626i) q^{77} +17.1268 q^{78} +(-1.04450 + 3.21464i) q^{79} +(-0.809017 + 0.587785i) q^{80} +(-14.6291 - 10.6287i) q^{81} +(-0.779621 - 2.39943i) q^{82} +(0.537282 + 1.65358i) q^{83} +(-2.54756 - 1.85091i) q^{84} +(0.385976 - 0.280428i) q^{85} +(-3.67741 + 11.3179i) q^{86} +20.6801 q^{87} +(-3.06668 + 1.26313i) q^{88} -9.54364 q^{89} +(-2.13715 + 6.57747i) q^{90} +(4.40013 - 3.19688i) q^{91} +(2.14896 + 1.56131i) q^{92} +(9.42872 + 29.0186i) q^{93} +(-2.91289 - 8.96496i) q^{94} +(4.78611 + 3.47731i) q^{95} +(-2.54756 + 1.85091i) q^{96} +(-1.21492 + 3.73914i) q^{97} -1.00000 q^{98} +(-12.0237 + 19.5337i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 2q^{9} + O(q^{10}) \) \( 8q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 2q^{9} - 8q^{10} - 8q^{12} - 2q^{13} - 2q^{14} + 2q^{15} - 2q^{16} - 6q^{17} + 8q^{18} + 6q^{19} - 2q^{20} + 8q^{21} - 2q^{24} - 2q^{25} + 12q^{26} - 4q^{27} + 2q^{28} + 20q^{29} - 2q^{30} - 6q^{31} - 8q^{32} - 8q^{33} - 24q^{34} + 2q^{35} - 8q^{36} + 16q^{37} + 4q^{38} + 20q^{39} + 2q^{40} - 12q^{41} + 2q^{42} + 20q^{43} + 12q^{45} - 16q^{47} + 2q^{48} - 2q^{49} + 2q^{50} - 20q^{51} - 12q^{52} - 30q^{53} + 44q^{54} + 8q^{56} - 20q^{58} - 18q^{59} + 2q^{60} + 8q^{61} - 24q^{62} + 8q^{63} - 2q^{64} + 28q^{65} + 18q^{66} - 6q^{68} - 28q^{69} - 2q^{70} + 22q^{71} - 2q^{72} - 50q^{73} - 16q^{74} + 2q^{75} - 4q^{76} + 60q^{78} - 34q^{79} - 2q^{80} - 28q^{81} + 12q^{82} - 34q^{83} - 2q^{84} - 6q^{85} + 4q^{87} - 8q^{89} - 2q^{90} + 12q^{91} + 56q^{93} - 24q^{94} + 6q^{95} - 2q^{96} - 8q^{98} - 24q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{3}{5}\right)\) \(1\) \(1\)

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
\(3\) 2.54756 1.85091i 1.47084 1.06863i 0.490466 0.871460i \(-0.336827\pi\)
0.980370 0.197165i \(-0.0631734\pi\)
\(4\) −0.809017 0.587785i −0.404508 0.293893i
\(5\) 0.309017 + 0.951057i 0.138197 + 0.425325i
\(6\) 0.973083 + 2.99484i 0.397259 + 1.22264i
\(7\) 0.809017 + 0.587785i 0.305780 + 0.222162i
\(8\) 0.809017 0.587785i 0.286031 0.207813i
\(9\) 2.13715 6.57747i 0.712383 2.19249i
\(10\) −1.00000 −0.316228
\(11\) −3.22344 0.780656i −0.971904 0.235377i
\(12\) −3.14896 −0.909027
\(13\) 1.68070 5.17267i 0.466143 1.43464i −0.391397 0.920222i \(-0.628008\pi\)
0.857540 0.514418i \(-0.171992\pi\)
\(14\) −0.809017 + 0.587785i −0.216219 + 0.157092i
\(15\) 2.54756 + 1.85091i 0.657778 + 0.477904i
\(16\) 0.309017 + 0.951057i 0.0772542 + 0.237764i
\(17\) −0.147430 0.453742i −0.0357569 0.110049i 0.931585 0.363524i \(-0.118426\pi\)
−0.967342 + 0.253475i \(0.918426\pi\)
\(18\) 5.59513 + 4.06510i 1.31878 + 0.958153i
\(19\) 4.78611 3.47731i 1.09801 0.797750i 0.117275 0.993099i \(-0.462584\pi\)
0.980734 + 0.195349i \(0.0625841\pi\)
\(20\) 0.309017 0.951057i 0.0690983 0.212663i
\(21\) 3.14896 0.687160
\(22\) 1.73855 2.82444i 0.370659 0.602172i
\(23\) −2.65626 −0.553869 −0.276934 0.960889i \(-0.589318\pi\)
−0.276934 + 0.960889i \(0.589318\pi\)
\(24\) 0.973083 2.99484i 0.198630 0.611319i
\(25\) −0.809017 + 0.587785i −0.161803 + 0.117557i
\(26\) 4.40013 + 3.19688i 0.862937 + 0.626961i
\(27\) −3.81055 11.7277i −0.733340 2.25699i
\(28\) −0.309017 0.951057i −0.0583987 0.179733i
\(29\) 5.31303 + 3.86014i 0.986604 + 0.716810i 0.959175 0.282814i \(-0.0912678\pi\)
0.0274294 + 0.999624i \(0.491268\pi\)
\(30\) −2.54756 + 1.85091i −0.465119 + 0.337929i
\(31\) −2.99423 + 9.21529i −0.537780 + 1.65512i 0.199785 + 0.979840i \(0.435976\pi\)
−0.737565 + 0.675276i \(0.764024\pi\)
\(32\) −1.00000 −0.176777
\(33\) −9.65685 + 3.97754i −1.68104 + 0.692401i
\(34\) 0.477092 0.0818206
\(35\) −0.309017 + 0.951057i −0.0522334 + 0.160758i
\(36\) −5.59513 + 4.06510i −0.932521 + 0.677516i
\(37\) 3.69499 + 2.68457i 0.607453 + 0.441340i 0.848517 0.529169i \(-0.177496\pi\)
−0.241063 + 0.970509i \(0.577496\pi\)
\(38\) 1.82813 + 5.62641i 0.296562 + 0.912724i
\(39\) −5.29246 16.2885i −0.847472 2.60825i
\(40\) 0.809017 + 0.587785i 0.127917 + 0.0929370i
\(41\) −2.04108 + 1.48293i −0.318762 + 0.231594i −0.735647 0.677365i \(-0.763122\pi\)
0.416885 + 0.908959i \(0.363122\pi\)
\(42\) −0.973083 + 2.99484i −0.150150 + 0.462114i
\(43\) 11.9003 1.81479 0.907393 0.420283i \(-0.138069\pi\)
0.907393 + 0.420283i \(0.138069\pi\)
\(44\) 2.14896 + 2.52626i 0.323968 + 0.380847i
\(45\) 6.91596 1.03097
\(46\) 0.820830 2.52626i 0.121025 0.372476i
\(47\) −7.62605 + 5.54065i −1.11237 + 0.808187i −0.983036 0.183413i \(-0.941285\pi\)
−0.129338 + 0.991601i \(0.541285\pi\)
\(48\) 2.54756 + 1.85091i 0.367709 + 0.267156i
\(49\) 0.309017 + 0.951057i 0.0441453 + 0.135865i
\(50\) −0.309017 0.951057i −0.0437016 0.134500i
\(51\) −1.21542 0.883056i −0.170193 0.123653i
\(52\) −4.40013 + 3.19688i −0.610189 + 0.443328i
\(53\) 1.90167 5.85272i 0.261214 0.803933i −0.731328 0.682026i \(-0.761099\pi\)
0.992542 0.121907i \(-0.0389010\pi\)
\(54\) 12.3312 1.67806
\(55\) −0.253650 3.30691i −0.0342022 0.445904i
\(56\) 1.00000 0.133631
\(57\) 5.75671 17.7173i 0.762495 2.34672i
\(58\) −5.31303 + 3.86014i −0.697635 + 0.506861i
\(59\) 0.457978 + 0.332741i 0.0596237 + 0.0433191i 0.617198 0.786808i \(-0.288268\pi\)
−0.557574 + 0.830127i \(0.688268\pi\)
\(60\) −0.973083 2.99484i −0.125624 0.386632i
\(61\) 0.633138 + 1.94860i 0.0810651 + 0.249493i 0.983372 0.181601i \(-0.0581279\pi\)
−0.902307 + 0.431094i \(0.858128\pi\)
\(62\) −7.83900 5.69537i −0.995554 0.723312i
\(63\) 5.59513 4.06510i 0.704920 0.512154i
\(64\) 0.309017 0.951057i 0.0386271 0.118882i
\(65\) 5.43886 0.674608
\(66\) −0.798735 10.4133i −0.0983175 1.28179i
\(67\) −1.24102 −0.151615 −0.0758076 0.997122i \(-0.524153\pi\)
−0.0758076 + 0.997122i \(0.524153\pi\)
\(68\) −0.147430 + 0.453742i −0.0178785 + 0.0550243i
\(69\) −6.76700 + 4.91651i −0.814650 + 0.591878i
\(70\) −0.809017 0.587785i −0.0966960 0.0702538i
\(71\) −1.11957 3.44567i −0.132868 0.408926i 0.862384 0.506254i \(-0.168970\pi\)
−0.995252 + 0.0973286i \(0.968970\pi\)
\(72\) −2.13715 6.57747i −0.251865 0.775162i
\(73\) −12.6528 9.19282i −1.48090 1.07594i −0.977264 0.212024i \(-0.931994\pi\)
−0.503638 0.863915i \(-0.668006\pi\)
\(74\) −3.69499 + 2.68457i −0.429534 + 0.312075i
\(75\) −0.973083 + 2.99484i −0.112362 + 0.345814i
\(76\) −5.91596 −0.678607
\(77\) −2.14896 2.52626i −0.244897 0.287894i
\(78\) 17.1268 1.93923
\(79\) −1.04450 + 3.21464i −0.117515 + 0.361675i −0.992463 0.122542i \(-0.960895\pi\)
0.874948 + 0.484217i \(0.160895\pi\)
\(80\) −0.809017 + 0.587785i −0.0904508 + 0.0657164i
\(81\) −14.6291 10.6287i −1.62546 1.18096i
\(82\) −0.779621 2.39943i −0.0860948 0.264972i
\(83\) 0.537282 + 1.65358i 0.0589743 + 0.181504i 0.976204 0.216855i \(-0.0695798\pi\)
−0.917230 + 0.398359i \(0.869580\pi\)
\(84\) −2.54756 1.85091i −0.277962 0.201951i
\(85\) 0.385976 0.280428i 0.0418649 0.0304167i
\(86\) −3.67741 + 11.3179i −0.396545 + 1.22044i
\(87\) 20.6801 2.21713
\(88\) −3.06668 + 1.26313i −0.326909 + 0.134650i
\(89\) −9.54364 −1.01162 −0.505812 0.862644i \(-0.668807\pi\)
−0.505812 + 0.862644i \(0.668807\pi\)
\(90\) −2.13715 + 6.57747i −0.225275 + 0.693326i
\(91\) 4.40013 3.19688i 0.461259 0.335125i
\(92\) 2.14896 + 1.56131i 0.224045 + 0.162778i
\(93\) 9.42872 + 29.0186i 0.977712 + 3.00909i
\(94\) −2.91289 8.96496i −0.300442 0.924665i
\(95\) 4.78611 + 3.47731i 0.491044 + 0.356765i
\(96\) −2.54756 + 1.85091i −0.260010 + 0.188908i
\(97\) −1.21492 + 3.73914i −0.123356 + 0.379652i −0.993598 0.112973i \(-0.963963\pi\)
0.870242 + 0.492625i \(0.163963\pi\)
\(98\) −1.00000 −0.101015
\(99\) −12.0237 + 19.5337i −1.20843 + 1.96321i
\(100\) 1.00000 0.100000
\(101\) −0.898602 + 2.76561i −0.0894142 + 0.275189i −0.985758 0.168172i \(-0.946214\pi\)
0.896344 + 0.443360i \(0.146214\pi\)
\(102\) 1.21542 0.883056i 0.120345 0.0874356i
\(103\) 12.8866 + 9.36263i 1.26975 + 0.922528i 0.999193 0.0401759i \(-0.0127918\pi\)
0.270558 + 0.962704i \(0.412792\pi\)
\(104\) −1.68070 5.17267i −0.164806 0.507222i
\(105\) 0.973083 + 2.99484i 0.0949631 + 0.292266i
\(106\) 4.97862 + 3.61718i 0.483567 + 0.351332i
\(107\) 4.99351 3.62800i 0.482741 0.350732i −0.319645 0.947537i \(-0.603564\pi\)
0.802386 + 0.596806i \(0.203564\pi\)
\(108\) −3.81055 + 11.7277i −0.366670 + 1.12849i
\(109\) −14.9240 −1.42946 −0.714729 0.699402i \(-0.753450\pi\)
−0.714729 + 0.699402i \(0.753450\pi\)
\(110\) 3.22344 + 0.780656i 0.307343 + 0.0744326i
\(111\) 14.3821 1.36509
\(112\) −0.309017 + 0.951057i −0.0291994 + 0.0898664i
\(113\) −15.4446 + 11.2212i −1.45291 + 1.05560i −0.467767 + 0.883852i \(0.654941\pi\)
−0.985141 + 0.171747i \(0.945059\pi\)
\(114\) 15.0713 + 10.9499i 1.41155 + 1.02555i
\(115\) −0.820830 2.52626i −0.0765428 0.235575i
\(116\) −2.02940 6.24584i −0.188425 0.579911i
\(117\) −30.4311 22.1095i −2.81336 2.04402i
\(118\) −0.457978 + 0.332741i −0.0421603 + 0.0306313i
\(119\) 0.147430 0.453742i 0.0135148 0.0415944i
\(120\) 3.14896 0.287460
\(121\) 9.78115 + 5.03280i 0.889196 + 0.457527i
\(122\) −2.04888 −0.185497
\(123\) −2.45500 + 7.55571i −0.221360 + 0.681275i
\(124\) 7.83900 5.69537i 0.703963 0.511459i
\(125\) −0.809017 0.587785i −0.0723607 0.0525731i
\(126\) 2.13715 + 6.57747i 0.190392 + 0.585967i
\(127\) 5.06216 + 15.5797i 0.449194 + 1.38248i 0.877818 + 0.478995i \(0.158999\pi\)
−0.428623 + 0.903483i \(0.641001\pi\)
\(128\) 0.809017 + 0.587785i 0.0715077 + 0.0519534i
\(129\) 30.3169 22.0265i 2.66925 1.93933i
\(130\) −1.68070 + 5.17267i −0.147407 + 0.453673i
\(131\) 5.60812 0.489984 0.244992 0.969525i \(-0.421215\pi\)
0.244992 + 0.969525i \(0.421215\pi\)
\(132\) 10.1505 + 2.45825i 0.883487 + 0.213964i
\(133\) 5.91596 0.512978
\(134\) 0.383498 1.18028i 0.0331291 0.101961i
\(135\) 9.97615 7.24809i 0.858610 0.623817i
\(136\) −0.385976 0.280428i −0.0330971 0.0240465i
\(137\) −0.775243 2.38595i −0.0662334 0.203846i 0.912463 0.409160i \(-0.134178\pi\)
−0.978696 + 0.205315i \(0.934178\pi\)
\(138\) −2.58476 7.95508i −0.220030 0.677181i
\(139\) −2.67187 1.94123i −0.226625 0.164653i 0.468679 0.883369i \(-0.344730\pi\)
−0.695304 + 0.718716i \(0.744730\pi\)
\(140\) 0.809017 0.587785i 0.0683744 0.0496769i
\(141\) −9.17259 + 28.2303i −0.772471 + 2.37742i
\(142\) 3.62299 0.304035
\(143\) −9.45572 + 15.3617i −0.790727 + 1.28461i
\(144\) 6.91596 0.576330
\(145\) −2.02940 + 6.24584i −0.168532 + 0.518689i
\(146\) 12.6528 9.19282i 1.04716 0.760804i
\(147\) 2.54756 + 1.85091i 0.210119 + 0.152661i
\(148\) −1.41136 4.34372i −0.116013 0.357052i
\(149\) 2.11073 + 6.49617i 0.172918 + 0.532187i 0.999532 0.0305821i \(-0.00973609\pi\)
−0.826614 + 0.562769i \(0.809736\pi\)
\(150\) −2.54756 1.85091i −0.208008 0.151126i
\(151\) 8.75270 6.35921i 0.712285 0.517505i −0.171625 0.985162i \(-0.554902\pi\)
0.883910 + 0.467657i \(0.154902\pi\)
\(152\) 1.82813 5.62641i 0.148281 0.456362i
\(153\) −3.29955 −0.266753
\(154\) 3.06668 1.26313i 0.247120 0.101786i
\(155\) −9.68953 −0.778282
\(156\) −5.29246 + 16.2885i −0.423736 + 1.30413i
\(157\) −6.48643 + 4.71267i −0.517673 + 0.376112i −0.815727 0.578438i \(-0.803663\pi\)
0.298053 + 0.954549i \(0.403663\pi\)
\(158\) −2.73454 1.98676i −0.217548 0.158058i
\(159\) −5.98827 18.4300i −0.474901 1.46159i
\(160\) −0.309017 0.951057i −0.0244299 0.0751876i
\(161\) −2.14896 1.56131i −0.169362 0.123049i
\(162\) 14.6291 10.6287i 1.14937 0.835068i
\(163\) −5.65473 + 17.4035i −0.442913 + 1.36315i 0.441844 + 0.897092i \(0.354324\pi\)
−0.884757 + 0.466053i \(0.845676\pi\)
\(164\) 2.52291 0.197006
\(165\) −6.76700 7.95508i −0.526810 0.619302i
\(166\) −1.73868 −0.134948
\(167\) −5.53945 + 17.0487i −0.428655 + 1.31927i 0.470795 + 0.882243i \(0.343967\pi\)
−0.899450 + 0.437023i \(0.856033\pi\)
\(168\) 2.54756 1.85091i 0.196549 0.142801i
\(169\) −13.4145 9.74621i −1.03189 0.749708i
\(170\) 0.147430 + 0.453742i 0.0113073 + 0.0348004i
\(171\) −12.6433 38.9120i −0.966855 2.97567i
\(172\) −9.62758 6.99485i −0.734096 0.533352i
\(173\) 6.21965 4.51884i 0.472871 0.343561i −0.325688 0.945477i \(-0.605596\pi\)
0.798559 + 0.601916i \(0.205596\pi\)
\(174\) −6.39049 + 19.6679i −0.484462 + 1.49102i
\(175\) −1.00000 −0.0755929
\(176\) −0.253650 3.30691i −0.0191196 0.249268i
\(177\) 1.78260 0.133989
\(178\) 2.94915 9.07654i 0.221048 0.680315i
\(179\) −18.3806 + 13.3543i −1.37383 + 0.998148i −0.376407 + 0.926455i \(0.622840\pi\)
−0.997427 + 0.0716939i \(0.977160\pi\)
\(180\) −5.59513 4.06510i −0.417036 0.302994i
\(181\) −4.22015 12.9883i −0.313681 0.965412i −0.976294 0.216449i \(-0.930552\pi\)
0.662613 0.748962i \(-0.269448\pi\)
\(182\) 1.68070 + 5.17267i 0.124582 + 0.383424i
\(183\) 5.21965 + 3.79230i 0.385847 + 0.280335i
\(184\) −2.14896 + 1.56131i −0.158424 + 0.115101i
\(185\) −1.41136 + 4.34372i −0.103765 + 0.319357i
\(186\) −30.5120 −2.23725
\(187\) 0.121015 + 1.57770i 0.00884947 + 0.115373i
\(188\) 9.42632 0.687485
\(189\) 3.81055 11.7277i 0.277177 0.853062i
\(190\) −4.78611 + 3.47731i −0.347221 + 0.252271i
\(191\) −7.62241 5.53801i −0.551538 0.400716i 0.276814 0.960924i \(-0.410721\pi\)
−0.828352 + 0.560207i \(0.810721\pi\)
\(192\) −0.973083 2.99484i −0.0702262 0.216134i
\(193\) −1.57574 4.84962i −0.113424 0.349083i 0.878191 0.478310i \(-0.158751\pi\)
−0.991615 + 0.129227i \(0.958751\pi\)
\(194\) −3.18070 2.31091i −0.228361 0.165914i
\(195\) 13.8558 10.0669i 0.992238 0.720903i
\(196\) 0.309017 0.951057i 0.0220726 0.0679326i
\(197\) 17.1284 1.22035 0.610174 0.792268i \(-0.291100\pi\)
0.610174 + 0.792268i \(0.291100\pi\)
\(198\) −14.8621 17.4715i −1.05620 1.24164i
\(199\) 11.9225 0.845166 0.422583 0.906324i \(-0.361123\pi\)
0.422583 + 0.906324i \(0.361123\pi\)
\(200\) −0.309017 + 0.951057i −0.0218508 + 0.0672499i
\(201\) −3.16159 + 2.29703i −0.223001 + 0.162020i
\(202\) −2.35257 1.70924i −0.165526 0.120262i
\(203\) 2.02940 + 6.24584i 0.142436 + 0.438372i
\(204\) 0.464250 + 1.42881i 0.0325040 + 0.100037i
\(205\) −2.04108 1.48293i −0.142555 0.103572i
\(206\) −12.8866 + 9.36263i −0.897849 + 0.652326i
\(207\) −5.67683 + 17.4715i −0.394567 + 1.21435i
\(208\) 5.43886 0.377117
\(209\) −18.1423 + 7.47261i −1.25493 + 0.516891i
\(210\) −3.14896 −0.217299
\(211\) 7.05581 21.7156i 0.485742 1.49496i −0.345161 0.938543i \(-0.612176\pi\)
0.830903 0.556417i \(-0.187824\pi\)
\(212\) −4.97862 + 3.61718i −0.341933 + 0.248429i
\(213\) −9.22980 6.70584i −0.632415 0.459477i
\(214\) 1.90735 + 5.87023i 0.130384 + 0.401280i
\(215\) 3.67741 + 11.3179i 0.250797 + 0.771875i
\(216\) −9.97615 7.24809i −0.678791 0.493170i
\(217\) −7.83900 + 5.69537i −0.532146 + 0.386627i
\(218\) 4.61176 14.1935i 0.312348 0.961308i
\(219\) −49.2490 −3.32794
\(220\) −1.73855 + 2.82444i −0.117213 + 0.190424i
\(221\) −2.59484 −0.174548
\(222\) −4.44432 + 13.6782i −0.298283 + 0.918022i
\(223\) 12.8457 9.33295i 0.860212 0.624980i −0.0677308 0.997704i \(-0.521576\pi\)
0.927943 + 0.372723i \(0.121576\pi\)
\(224\) −0.809017 0.587785i −0.0540547 0.0392731i
\(225\) 2.13715 + 6.57747i 0.142477 + 0.438498i
\(226\) −5.89932 18.1562i −0.392417 1.20774i
\(227\) 6.81055 + 4.94815i 0.452032 + 0.328420i 0.790398 0.612594i \(-0.209874\pi\)
−0.338366 + 0.941015i \(0.609874\pi\)
\(228\) −15.0713 + 10.9499i −0.998119 + 0.725176i
\(229\) 6.88625 21.1937i 0.455056 1.40052i −0.416013 0.909359i \(-0.636573\pi\)
0.871069 0.491160i \(-0.163427\pi\)
\(230\) 2.65626 0.175149
\(231\) −10.1505 2.45825i −0.667853 0.161741i
\(232\) 6.56726 0.431162
\(233\) −3.83214 + 11.7941i −0.251052 + 0.772658i 0.743530 + 0.668703i \(0.233150\pi\)
−0.994582 + 0.103956i \(0.966850\pi\)
\(234\) 30.4311 22.1095i 1.98935 1.44534i
\(235\) −7.62605 5.54065i −0.497469 0.361432i
\(236\) −0.174932 0.538386i −0.0113871 0.0350459i
\(237\) 3.28909 + 10.1228i 0.213649 + 0.657545i
\(238\) 0.385976 + 0.280428i 0.0250191 + 0.0181774i
\(239\) −15.6603 + 11.3778i −1.01298 + 0.735972i −0.964832 0.262869i \(-0.915331\pi\)
−0.0481464 + 0.998840i \(0.515331\pi\)
\(240\) −0.973083 + 2.99484i −0.0628122 + 0.193316i
\(241\) −5.12445 −0.330095 −0.165047 0.986286i \(-0.552778\pi\)
−0.165047 + 0.986286i \(0.552778\pi\)
\(242\) −7.80902 + 7.74721i −0.501983 + 0.498009i
\(243\) −19.9478 −1.27965
\(244\) 0.633138 1.94860i 0.0405325 0.124746i
\(245\) −0.809017 + 0.587785i −0.0516862 + 0.0375522i
\(246\) −6.42727 4.66968i −0.409788 0.297728i
\(247\) −9.94296 30.6013i −0.632655 1.94711i
\(248\) 2.99423 + 9.21529i 0.190134 + 0.585172i
\(249\) 4.42940 + 3.21814i 0.280702 + 0.203942i
\(250\) 0.809017 0.587785i 0.0511667 0.0371748i
\(251\) −2.77853 + 8.55145i −0.175380 + 0.539763i −0.999651 0.0264327i \(-0.991585\pi\)
0.824271 + 0.566195i \(0.191585\pi\)
\(252\) −6.91596 −0.435664
\(253\) 8.56231 + 2.07363i 0.538308 + 0.130368i
\(254\) −16.3815 −1.02787
\(255\) 0.464250 1.42881i 0.0290725 0.0894758i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) 14.5199 + 10.5493i 0.905727 + 0.658049i 0.939931 0.341365i \(-0.110889\pi\)
−0.0342033 + 0.999415i \(0.510889\pi\)
\(258\) 11.5800 + 35.6396i 0.720941 + 2.21883i
\(259\) 1.41136 + 4.34372i 0.0876977 + 0.269906i
\(260\) −4.40013 3.19688i −0.272885 0.198262i
\(261\) 36.7447 26.6966i 2.27444 1.65248i
\(262\) −1.73300 + 5.33364i −0.107065 + 0.329513i
\(263\) 27.3312 1.68531 0.842657 0.538451i \(-0.180990\pi\)
0.842657 + 0.538451i \(0.180990\pi\)
\(264\) −5.47461 + 8.89405i −0.336939 + 0.547391i
\(265\) 6.15392 0.378032
\(266\) −1.82813 + 5.62641i −0.112090 + 0.344977i
\(267\) −24.3130 + 17.6644i −1.48793 + 1.08105i
\(268\) 1.00401 + 0.729456i 0.0613297 + 0.0445586i
\(269\) −3.73214 11.4863i −0.227553 0.700335i −0.998022 0.0628585i \(-0.979978\pi\)
0.770470 0.637476i \(-0.220022\pi\)
\(270\) 3.81055 + 11.7277i 0.231903 + 0.713723i
\(271\) −20.8990 15.1840i −1.26952 0.922361i −0.270338 0.962766i \(-0.587135\pi\)
−0.999183 + 0.0404043i \(0.987135\pi\)
\(272\) 0.385976 0.280428i 0.0234032 0.0170034i
\(273\) 5.29246 16.2885i 0.320314 0.985827i
\(274\) 2.50874 0.151558
\(275\) 3.06668 1.26313i 0.184928 0.0761695i
\(276\) 8.36447 0.503482
\(277\) −5.63151 + 17.3320i −0.338365 + 1.04138i 0.626676 + 0.779280i \(0.284415\pi\)
−0.965041 + 0.262100i \(0.915585\pi\)
\(278\) 2.67187 1.94123i 0.160248 0.116427i
\(279\) 54.2142 + 39.3889i 3.24572 + 2.35815i
\(280\) 0.309017 + 0.951057i 0.0184673 + 0.0568365i
\(281\) −1.25446 3.86084i −0.0748350 0.230319i 0.906641 0.421903i \(-0.138638\pi\)
−0.981476 + 0.191584i \(0.938638\pi\)
\(282\) −24.0141 17.4473i −1.43002 1.03897i
\(283\) 2.56114 1.86077i 0.152244 0.110612i −0.509056 0.860734i \(-0.670005\pi\)
0.661299 + 0.750122i \(0.270005\pi\)
\(284\) −1.11957 + 3.44567i −0.0664340 + 0.204463i
\(285\) 18.6291 1.10349
\(286\) −11.6879 13.7400i −0.691120 0.812461i
\(287\) −2.52291 −0.148923
\(288\) −2.13715 + 6.57747i −0.125933 + 0.387581i
\(289\) 13.5691 9.85856i 0.798185 0.579915i
\(290\) −5.31303 3.86014i −0.311992 0.226675i
\(291\) 3.82574 + 11.7744i 0.224269 + 0.690228i
\(292\) 4.83295 + 14.8743i 0.282827 + 0.870453i
\(293\) −8.29378 6.02578i −0.484528 0.352030i 0.318548 0.947907i \(-0.396805\pi\)
−0.803076 + 0.595877i \(0.796805\pi\)
\(294\) −2.54756 + 1.85091i −0.148577 + 0.107947i
\(295\) −0.174932 + 0.538386i −0.0101849 + 0.0313460i
\(296\) 4.56726 0.265467
\(297\) 3.12781 + 40.7782i 0.181494 + 2.36619i
\(298\) −6.83048 −0.395679
\(299\) −4.46438 + 13.7400i −0.258182 + 0.794602i
\(300\) 2.54756 1.85091i 0.147084 0.106863i
\(301\) 9.62758 + 6.99485i 0.554925 + 0.403176i
\(302\) 3.34324 + 10.2894i 0.192382 + 0.592090i
\(303\) 2.82966 + 8.70881i 0.162560 + 0.500308i
\(304\) 4.78611 + 3.47731i 0.274502 + 0.199438i
\(305\) −1.65758 + 1.20430i −0.0949126 + 0.0689581i
\(306\) 1.01962 3.13806i 0.0582876 0.179391i
\(307\) −3.38972 −0.193461 −0.0967307 0.995311i \(-0.530839\pi\)
−0.0967307 + 0.995311i \(0.530839\pi\)
\(308\) 0.253650 + 3.30691i 0.0144531 + 0.188429i
\(309\) 50.1587 2.85343
\(310\) 2.99423 9.21529i 0.170061 0.523394i
\(311\) 23.8274 17.3116i 1.35113 0.981651i 0.352173 0.935935i \(-0.385443\pi\)
0.998954 0.0457164i \(-0.0145570\pi\)
\(312\) −13.8558 10.0669i −0.784433 0.569924i
\(313\) −6.81829 20.9845i −0.385393 1.18612i −0.936195 0.351481i \(-0.885678\pi\)
0.550802 0.834636i \(-0.314322\pi\)
\(314\) −2.47759 7.62525i −0.139819 0.430318i
\(315\) 5.59513 + 4.06510i 0.315250 + 0.229042i
\(316\) 2.73454 1.98676i 0.153830 0.111764i
\(317\) 6.52516 20.0824i 0.366489 1.12794i −0.582554 0.812792i \(-0.697946\pi\)
0.949043 0.315146i \(-0.102054\pi\)
\(318\) 19.3784 1.08669
\(319\) −14.1128 16.5906i −0.790165 0.928894i
\(320\) 1.00000 0.0559017
\(321\) 6.00618 18.4851i 0.335232 1.03174i
\(322\) 2.14896 1.56131i 0.119757 0.0870085i
\(323\) −2.28342 1.65900i −0.127053 0.0923091i
\(324\) 5.58783 + 17.1976i 0.310435 + 0.955420i
\(325\) 1.68070 + 5.17267i 0.0932285 + 0.286928i
\(326\) −14.8043 10.7559i −0.819933 0.595716i
\(327\) −38.0198 + 27.6230i −2.10250 + 1.52755i
\(328\) −0.779621 + 2.39943i −0.0430474 + 0.132486i
\(329\) −9.42632 −0.519690
\(330\) 9.65685 3.97754i 0.531592 0.218956i
\(331\) −31.1409 −1.71166 −0.855830 0.517258i \(-0.826953\pi\)
−0.855830 + 0.517258i \(0.826953\pi\)
\(332\) 0.537282 1.65358i 0.0294872 0.0907521i
\(333\) 25.5544 18.5664i 1.40037 1.01743i
\(334\) −14.5025 10.5367i −0.793540 0.576540i
\(335\) −0.383498 1.18028i −0.0209527 0.0644858i
\(336\) 0.973083 + 2.99484i 0.0530860 + 0.163382i
\(337\) 1.29523 + 0.941038i 0.0705556 + 0.0512616i 0.622504 0.782617i \(-0.286115\pi\)
−0.551948 + 0.833878i \(0.686115\pi\)
\(338\) 13.4145 9.74621i 0.729653 0.530124i
\(339\) −18.5767 + 57.1733i −1.00895 + 3.10523i
\(340\) −0.477092 −0.0258740
\(341\) 16.8457 27.3675i 0.912246 1.48203i
\(342\) 40.9145 2.21240
\(343\) −0.309017 + 0.951057i −0.0166853 + 0.0513522i
\(344\) 9.62758 6.99485i 0.519085 0.377137i
\(345\) −6.76700 4.91651i −0.364323 0.264696i
\(346\) 2.37569 + 7.31163i 0.127718 + 0.393076i
\(347\) 6.09359 + 18.7542i 0.327121 + 1.00678i 0.970474 + 0.241206i \(0.0775429\pi\)
−0.643353 + 0.765570i \(0.722457\pi\)
\(348\) −16.7305 12.1554i −0.896850 0.651599i
\(349\) −12.4419 + 9.03959i −0.666001 + 0.483878i −0.868684 0.495366i \(-0.835034\pi\)
0.202683 + 0.979244i \(0.435034\pi\)
\(350\) 0.309017 0.951057i 0.0165177 0.0508361i
\(351\) −67.0677 −3.57981
\(352\) 3.22344 + 0.780656i 0.171810 + 0.0416091i
\(353\) −10.3793 −0.552436 −0.276218 0.961095i \(-0.589081\pi\)
−0.276218 + 0.961095i \(0.589081\pi\)
\(354\) −0.550854 + 1.69536i −0.0292776 + 0.0901071i
\(355\) 2.93106 2.12954i 0.155565 0.113024i
\(356\) 7.72096 + 5.60961i 0.409210 + 0.297309i
\(357\) −0.464250 1.42881i −0.0245707 0.0756209i
\(358\) −7.02078 21.6077i −0.371060 1.14200i
\(359\) −19.2804 14.0080i −1.01758 0.739316i −0.0517960 0.998658i \(-0.516495\pi\)
−0.965786 + 0.259341i \(0.916495\pi\)
\(360\) 5.59513 4.06510i 0.294889 0.214249i
\(361\) 4.94382 15.2155i 0.260201 0.800817i
\(362\) 13.6567 0.717780
\(363\) 34.2334 5.28269i 1.79679 0.277270i
\(364\) −5.43886 −0.285074
\(365\) 4.83295 14.8743i 0.252968 0.778557i
\(366\) −5.21965 + 3.79230i −0.272835 + 0.198226i
\(367\) 15.6905 + 11.3998i 0.819036 + 0.595064i 0.916436 0.400181i \(-0.131053\pi\)
−0.0974004 + 0.995245i \(0.531053\pi\)
\(368\) −0.820830 2.52626i −0.0427887 0.131690i
\(369\) 5.39183 + 16.5943i 0.280687 + 0.863867i
\(370\) −3.69499 2.68457i −0.192094 0.139564i
\(371\) 4.97862 3.61718i 0.258477 0.187795i
\(372\) 9.42872 29.0186i 0.488856 1.50454i
\(373\) 10.9015 0.564459 0.282230 0.959347i \(-0.408926\pi\)
0.282230 + 0.959347i \(0.408926\pi\)
\(374\) −1.53788 0.372445i −0.0795218 0.0192587i
\(375\) −3.14896 −0.162612
\(376\) −2.91289 + 8.96496i −0.150221 + 0.462333i
\(377\) 28.8968 20.9948i 1.48826 1.08129i
\(378\) 9.97615 + 7.24809i 0.513118 + 0.372802i
\(379\) 2.10368 + 6.47447i 0.108059 + 0.332571i 0.990436 0.137971i \(-0.0440582\pi\)
−0.882377 + 0.470543i \(0.844058\pi\)
\(380\) −1.82813 5.62641i −0.0937811 0.288629i
\(381\) 41.7329 + 30.3207i 2.13804 + 1.55338i
\(382\) 7.62241 5.53801i 0.389997 0.283349i
\(383\) −7.48782 + 23.0451i −0.382610 + 1.17755i 0.555590 + 0.831456i \(0.312492\pi\)
−0.938200 + 0.346095i \(0.887508\pi\)
\(384\) 3.14896 0.160695
\(385\) 1.73855 2.82444i 0.0886045 0.143947i
\(386\) 5.09919 0.259542
\(387\) 25.4328 78.2741i 1.29282 3.97890i
\(388\) 3.18070 2.31091i 0.161476 0.117319i
\(389\) 14.7687 + 10.7301i 0.748805 + 0.544039i 0.895456 0.445150i \(-0.146850\pi\)
−0.146651 + 0.989188i \(0.546850\pi\)
\(390\) 5.29246 + 16.2885i 0.267994 + 0.824802i
\(391\) 0.391612 + 1.20526i 0.0198047 + 0.0609524i
\(392\) 0.809017 + 0.587785i 0.0408615 + 0.0296876i
\(393\) 14.2870 10.3801i 0.720686 0.523609i
\(394\) −5.29297 + 16.2901i −0.266656 + 0.820682i
\(395\) −3.38007 −0.170070
\(396\) 21.2090 8.73574i 1.06579 0.438987i
\(397\) 17.6742 0.887043 0.443522 0.896264i \(-0.353729\pi\)
0.443522 + 0.896264i \(0.353729\pi\)
\(398\) −3.68427 + 11.3390i −0.184676 + 0.568373i
\(399\) 15.0713 10.9499i 0.754507 0.548182i
\(400\) −0.809017 0.587785i −0.0404508 0.0293893i
\(401\) 9.39991 + 28.9299i 0.469409 + 1.44469i 0.853352 + 0.521335i \(0.174566\pi\)
−0.383943 + 0.923357i \(0.625434\pi\)
\(402\) −1.20762 3.71667i −0.0602306 0.185371i
\(403\) 42.6352 + 30.9763i 2.12381 + 1.54304i
\(404\) 2.35257 1.70924i 0.117045 0.0850380i
\(405\) 5.58783 17.1976i 0.277661 0.854554i
\(406\) −6.56726 −0.325928
\(407\) −9.81487 11.5381i −0.486505 0.571921i
\(408\) −1.50234 −0.0743771
\(409\) 4.76087 14.6524i 0.235410 0.724517i −0.761657 0.647980i \(-0.775614\pi\)
0.997067 0.0765365i \(-0.0243862\pi\)
\(410\) 2.04108 1.48293i 0.100802 0.0732366i
\(411\) −6.39117 4.64346i −0.315253 0.229045i
\(412\) −4.92223 15.1491i −0.242501 0.746341i
\(413\) 0.174932 + 0.538386i 0.00860785 + 0.0264922i
\(414\) −14.8621 10.7980i −0.730433 0.530691i
\(415\) −1.40662 + 1.02197i −0.0690483 + 0.0501665i
\(416\) −1.68070 + 5.17267i −0.0824032 + 0.253611i
\(417\) −10.3998 −0.509280
\(418\) −1.50059 19.5635i −0.0733960 0.956884i
\(419\) 3.21914 0.157265 0.0786327 0.996904i \(-0.474945\pi\)
0.0786327 + 0.996904i \(0.474945\pi\)
\(420\) 0.973083 2.99484i 0.0474816 0.146133i
\(421\) −10.6470 + 7.73553i −0.518905 + 0.377007i −0.816191 0.577782i \(-0.803919\pi\)
0.297286 + 0.954788i \(0.403919\pi\)
\(422\) 18.4724 + 13.4209i 0.899220 + 0.653322i
\(423\) 20.1454 + 62.0013i 0.979505 + 3.01461i
\(424\) −1.90167 5.85272i −0.0923530 0.284233i
\(425\) 0.385976 + 0.280428i 0.0187226 + 0.0136027i
\(426\) 9.22980 6.70584i 0.447185 0.324899i
\(427\) −0.633138 + 1.94860i −0.0306397 + 0.0942993i
\(428\) −6.17232 −0.298350
\(429\) 4.34421 + 56.6367i 0.209741 + 2.73445i
\(430\) −11.9003 −0.573886
\(431\) 0.736786 2.26760i 0.0354898 0.109226i −0.931742 0.363120i \(-0.881711\pi\)
0.967232 + 0.253894i \(0.0817114\pi\)
\(432\) 9.97615 7.24809i 0.479978 0.348724i
\(433\) −7.30193 5.30516i −0.350908 0.254950i 0.398342 0.917237i \(-0.369586\pi\)
−0.749250 + 0.662287i \(0.769586\pi\)
\(434\) −2.99423 9.21529i −0.143728 0.442348i
\(435\) 6.39049 + 19.6679i 0.306400 + 0.943004i
\(436\) 12.0737 + 8.77209i 0.578228 + 0.420107i
\(437\) −12.7132 + 9.23665i −0.608153 + 0.441849i
\(438\) 15.2188 46.8386i 0.727182 2.23803i
\(439\) 23.1241 1.10366 0.551828 0.833958i \(-0.313931\pi\)
0.551828 + 0.833958i \(0.313931\pi\)
\(440\) −2.14896 2.52626i −0.102448 0.120434i
\(441\) 6.91596 0.329331
\(442\) 0.801849 2.46784i 0.0381401 0.117383i
\(443\) 5.49160 3.98988i 0.260914 0.189565i −0.449636 0.893212i \(-0.648446\pi\)
0.710550 + 0.703647i \(0.248446\pi\)
\(444\) −11.6354 8.45360i −0.552191 0.401190i
\(445\) −2.94915 9.07654i −0.139803 0.430269i
\(446\) 4.90662 + 15.1010i 0.232335 + 0.715054i
\(447\) 17.4011 + 12.6426i 0.823042 + 0.597975i
\(448\) 0.809017 0.587785i 0.0382225 0.0277702i
\(449\) 4.05166 12.4697i 0.191209 0.588482i −0.808790 0.588097i \(-0.799877\pi\)
1.00000 0.000385241i \(-0.000122626\pi\)
\(450\) −6.91596 −0.326021
\(451\) 7.73694 3.18675i 0.364318 0.150058i
\(452\) 19.0906 0.897946
\(453\) 10.5277 32.4010i 0.494635 1.52233i
\(454\) −6.81055 + 4.94815i −0.319635 + 0.232228i
\(455\) 4.40013 + 3.19688i 0.206281 + 0.149872i
\(456\) −5.75671 17.7173i −0.269583 0.829691i
\(457\) −5.87750 18.0891i −0.274938 0.846172i −0.989236 0.146330i \(-0.953254\pi\)
0.714298 0.699842i \(-0.246746\pi\)
\(458\) 18.0284 + 13.0984i 0.842414 + 0.612049i
\(459\) −4.75954 + 3.45801i −0.222156 + 0.161406i
\(460\) −0.820830 + 2.52626i −0.0382714 + 0.117787i
\(461\) 18.8767 0.879177 0.439588 0.898199i \(-0.355124\pi\)
0.439588 + 0.898199i \(0.355124\pi\)
\(462\) 5.47461 8.89405i 0.254702 0.413789i
\(463\) 13.6194 0.632945 0.316473 0.948602i \(-0.397501\pi\)
0.316473 + 0.948602i \(0.397501\pi\)
\(464\) −2.02940 + 6.24584i −0.0942123 + 0.289956i
\(465\) −24.6847 + 17.9345i −1.14473 + 0.831692i
\(466\) −10.0327 7.28916i −0.464755 0.337664i
\(467\) −5.86518 18.0512i −0.271408 0.835309i −0.990147 0.140029i \(-0.955280\pi\)
0.718739 0.695280i \(-0.244720\pi\)
\(468\) 11.6237 + 35.7739i 0.537304 + 1.65365i
\(469\) −1.00401 0.729456i −0.0463609 0.0336831i
\(470\) 7.62605 5.54065i 0.351764 0.255571i
\(471\) −7.80185 + 24.0116i −0.359490 + 1.10640i
\(472\) 0.566092 0.0260565
\(473\) −38.3601 9.29008i −1.76380 0.427158i
\(474\) −10.6437 −0.488882
\(475\) −1.82813 + 5.62641i −0.0838804 + 0.258157i
\(476\) −0.385976 + 0.280428i −0.0176912 + 0.0128534i
\(477\) −34.4319 25.0163i −1.57653 1.14542i
\(478\) −5.98169 18.4097i −0.273596 0.842042i
\(479\) −1.70433 5.24538i −0.0778727 0.239668i 0.904540 0.426388i \(-0.140214\pi\)
−0.982413 + 0.186720i \(0.940214\pi\)
\(480\) −2.54756 1.85091i −0.116280 0.0844822i
\(481\) 20.0966 14.6010i 0.916324 0.665749i
\(482\) 1.58354 4.87364i 0.0721283 0.221988i
\(483\) −8.36447 −0.380596
\(484\) −4.95492 9.82084i −0.225223 0.446402i
\(485\) −3.93156 −0.178523
\(486\) 6.16420 18.9715i 0.279614 0.860563i
\(487\) −22.6594 + 16.4631i −1.02680 + 0.746012i −0.967665 0.252238i \(-0.918833\pi\)
−0.0591323 + 0.998250i \(0.518833\pi\)
\(488\) 1.65758 + 1.20430i 0.0750350 + 0.0545161i
\(489\) 17.8065 + 54.8029i 0.805239 + 2.47827i
\(490\) −0.309017 0.951057i −0.0139600 0.0429644i
\(491\) 10.4804 + 7.61444i 0.472973 + 0.343635i 0.798599 0.601864i \(-0.205575\pi\)
−0.325626 + 0.945499i \(0.605575\pi\)
\(492\) 6.42727 4.66968i 0.289764 0.210526i
\(493\) 0.968209 2.97984i 0.0436059 0.134205i
\(494\) 32.1761 1.44767
\(495\) −22.2932 5.39898i −1.00200 0.242666i
\(496\) −9.68953 −0.435073
\(497\) 1.11957 3.44567i 0.0502194 0.154559i
\(498\) −4.42940 + 3.21814i −0.198486 + 0.144208i
\(499\) −3.18741 2.31579i −0.142688 0.103669i 0.514151 0.857699i \(-0.328107\pi\)
−0.656839 + 0.754031i \(0.728107\pi\)
\(500\) 0.309017 + 0.951057i 0.0138197 + 0.0425325i
\(501\) 17.4435 + 53.6856i 0.779319 + 2.39850i
\(502\) −7.27430 5.28509i −0.324668 0.235885i
\(503\) −23.2315 + 16.8787i −1.03584 + 0.752584i −0.969470 0.245211i \(-0.921143\pi\)
−0.0663735 + 0.997795i \(0.521143\pi\)
\(504\) 2.13715 6.57747i 0.0951961 0.292984i
\(505\) −2.90794 −0.129401
\(506\) −4.61803 + 7.50245i −0.205297 + 0.333525i
\(507\) −52.2137 −2.31889
\(508\) 5.06216 15.5797i 0.224597 0.691239i
\(509\) −5.45134 + 3.96063i −0.241626 + 0.175552i −0.702008 0.712170i \(-0.747713\pi\)
0.460381 + 0.887721i \(0.347713\pi\)
\(510\) 1.21542 + 0.883056i 0.0538198 + 0.0391024i
\(511\) −4.83295 14.8743i −0.213797 0.658000i
\(512\) −0.309017 0.951057i −0.0136568 0.0420312i
\(513\) −59.0184 42.8794i −2.60573 1.89317i
\(514\) −14.5199 + 10.5493i −0.640446 + 0.465311i
\(515\) −4.92223 + 15.1491i −0.216899 + 0.667547i
\(516\) −37.4737 −1.64969
\(517\) 28.9075 11.9066i 1.27135 0.523654i
\(518\) −4.56726 −0.200674
\(519\) 7.48097 23.0241i 0.328378 1.01064i
\(520\) 4.40013 3.19688i 0.192959 0.140193i
\(521\) −26.0506 18.9269i −1.14130 0.829202i −0.153999 0.988071i \(-0.549215\pi\)
−0.987300 + 0.158869i \(0.949215\pi\)
\(522\) 14.0352 + 43.1959i 0.614305 + 1.89063i
\(523\) −8.78363 27.0332i −0.384081 1.18208i −0.937144 0.348942i \(-0.886541\pi\)
0.553063 0.833139i \(-0.313459\pi\)
\(524\) −4.53707 3.29637i −0.198203 0.144003i
\(525\) −2.54756 + 1.85091i −0.111185 + 0.0807805i
\(526\) −8.44580 + 25.9935i −0.368255 + 1.13337i
\(527\) 4.62280 0.201372
\(528\) −6.76700 7.95508i −0.294496 0.346200i
\(529\) −15.9443 −0.693229
\(530\) −1.90167 + 5.85272i −0.0826031 + 0.254226i
\(531\) 3.16736 2.30122i 0.137452 0.0998644i
\(532\) −4.78611 3.47731i −0.207504 0.150761i
\(533\) 4.24025 + 13.0502i 0.183666 + 0.565265i
\(534\) −9.28675 28.5817i −0.401877 1.23685i
\(535\) 4.99351 + 3.62800i 0.215888 + 0.156852i
\(536\) −1.00401 + 0.729456i −0.0433666 + 0.0315077i
\(537\) −22.1082 + 68.0419i −0.954038 + 2.93623i
\(538\) 12.0775 0.520696
\(539\) −0.253650 3.30691i −0.0109255 0.142439i
\(540\) −12.3312 −0.530650
\(541\) 6.67718 20.5503i 0.287074 0.883524i −0.698695 0.715420i \(-0.746235\pi\)
0.985769 0.168104i \(-0.0537646\pi\)
\(542\) 20.8990 15.1840i 0.897687 0.652208i
\(543\) −34.7913 25.2774i −1.49304 1.08475i
\(544\) 0.147430 + 0.453742i 0.00632099 + 0.0194540i
\(545\) −4.61176 14.1935i −0.197546 0.607985i
\(546\) 13.8558 + 10.0669i 0.592976 + 0.430822i
\(547\) −25.8394 + 18.7734i −1.10481 + 0.802694i −0.981839 0.189716i \(-0.939243\pi\)
−0.122975 + 0.992410i \(0.539243\pi\)
\(548\) −0.775243 + 2.38595i −0.0331167 + 0.101923i
\(549\) 14.1700 0.604759
\(550\) 0.253650 + 3.30691i 0.0108157 + 0.141007i
\(551\) 38.8516 1.65514
\(552\) −2.58476 + 7.95508i −0.110015 + 0.338591i
\(553\) −2.73454 + 1.98676i −0.116284 + 0.0844855i
\(554\) −14.7435 10.7118i −0.626391 0.455100i
\(555\) 4.44432 + 13.6782i 0.188651 + 0.580608i
\(556\) 1.02056 + 3.14097i 0.0432815 + 0.133207i
\(557\) −15.1253 10.9891i −0.640878 0.465625i 0.219274 0.975663i \(-0.429631\pi\)
−0.860152 + 0.510038i \(0.829631\pi\)
\(558\) −54.2142 + 39.3889i −2.29507 + 1.66746i
\(559\) 20.0009 61.5565i 0.845949 2.60356i
\(560\) −1.00000 −0.0422577
\(561\) 3.22848 + 3.79531i 0.136307 + 0.160238i
\(562\) 4.05953 0.171241
\(563\) 12.9379 39.8188i 0.545268 1.67816i −0.175083 0.984554i \(-0.556019\pi\)
0.720351 0.693609i \(-0.243981\pi\)
\(564\) 24.0141 17.4473i 1.01118 0.734664i
\(565\) −15.4446 11.2212i −0.649760 0.472078i
\(566\) 0.978267 + 3.01080i 0.0411196 + 0.126553i
\(567\) −5.58783 17.1976i −0.234667 0.722230i
\(568\) −2.93106 2.12954i −0.122985 0.0893535i
\(569\) −11.9381 + 8.67356i −0.500473 + 0.363615i −0.809197 0.587537i \(-0.800098\pi\)
0.308725 + 0.951151i \(0.400098\pi\)
\(570\) −5.75671 + 17.7173i −0.241122 + 0.742098i
\(571\) −43.4272 −1.81737 −0.908686 0.417481i \(-0.862913\pi\)
−0.908686 + 0.417481i \(0.862913\pi\)
\(572\) 16.6792 6.86998i 0.697394 0.287248i
\(573\) −29.6689 −1.23944
\(574\) 0.779621 2.39943i 0.0325408 0.100150i
\(575\) 2.14896 1.56131i 0.0896179 0.0651112i
\(576\) −5.59513 4.06510i −0.233130 0.169379i
\(577\) −5.92903 18.2477i −0.246829 0.759660i −0.995330 0.0965275i \(-0.969226\pi\)
0.748502 0.663133i \(-0.230774\pi\)
\(578\) 5.18295 + 15.9515i 0.215582 + 0.663494i
\(579\) −12.9905 9.43816i −0.539868 0.392237i
\(580\) 5.31303 3.86014i 0.220611 0.160284i
\(581\) −0.537282 + 1.65358i −0.0222902 + 0.0686022i
\(582\) −12.3803 −0.513182
\(583\) −10.6989 + 17.3814i −0.443102 + 0.719863i
\(584\) −15.6398 −0.647178
\(585\) 11.6237 35.7739i 0.480579 1.47907i
\(586\) 8.29378 6.02578i 0.342613 0.248923i
\(587\) −3.04662 2.21350i −0.125747 0.0913608i 0.523134 0.852251i \(-0.324763\pi\)
−0.648881 + 0.760890i \(0.724763\pi\)
\(588\) −0.973083 2.99484i −0.0401292 0.123505i
\(589\) 17.7137 + 54.5173i 0.729882 + 2.24635i
\(590\) −0.457978 0.332741i −0.0188547 0.0136987i
\(591\) 43.6357 31.7032i 1.79493 1.30409i
\(592\) −1.41136 + 4.34372i −0.0580066 + 0.178526i
\(593\) 37.8401 1.55391 0.776954 0.629558i \(-0.216764\pi\)
0.776954 + 0.629558i \(0.216764\pi\)
\(594\) −39.7489 9.62642i −1.63092 0.394977i
\(595\) 0.477092 0.0195589
\(596\) 2.11073 6.49617i 0.0864590 0.266093i
\(597\) 30.3734 22.0676i 1.24310 0.903166i
\(598\) −11.6879 8.49176i −0.477954 0.347254i
\(599\) −9.95550 30.6399i −0.406771 1.25191i −0.919408 0.393306i \(-0.871331\pi\)
0.512637 0.858605i \(-0.328669\pi\)
\(600\) 0.973083 + 2.99484i 0.0397259 + 0.122264i
\(601\) −2.64044 1.91839i −0.107706 0.0782528i 0.532629 0.846349i \(-0.321204\pi\)
−0.640334 + 0.768096i \(0.721204\pi\)
\(602\) −9.62758 + 6.99485i −0.392391 + 0.285089i
\(603\) −2.65225 + 8.16279i −0.108008 + 0.332415i
\(604\) −10.8189 −0.440216
\(605\) −1.76393 + 10.8576i −0.0717140 + 0.441426i
\(606\) −9.15698 −0.371977
\(607\) 5.99234 18.4425i 0.243221 0.748559i −0.752702 0.658361i \(-0.771250\pi\)
0.995924 0.0901978i \(-0.0287499\pi\)
\(608\) −4.78611 + 3.47731i −0.194102 + 0.141024i
\(609\) 16.7305 + 12.1554i 0.677955 + 0.492563i
\(610\) −0.633138 1.94860i −0.0256350 0.0788965i
\(611\) 15.8428 + 48.7592i 0.640932 + 1.97259i
\(612\) 2.66939 + 1.93943i 0.107904 + 0.0783966i
\(613\) −24.1177 + 17.5225i −0.974104 + 0.707728i −0.956383 0.292115i \(-0.905641\pi\)
−0.0177205 + 0.999843i \(0.505641\pi\)
\(614\) 1.04748 3.22381i 0.0422729 0.130103i
\(615\) −7.94454 −0.320355
\(616\) −3.22344 0.780656i −0.129876 0.0314535i
\(617\) −3.60999 −0.145333 −0.0726664 0.997356i \(-0.523151\pi\)
−0.0726664 + 0.997356i \(0.523151\pi\)
\(618\) −15.4999 + 47.7038i −0.623498 + 1.91893i
\(619\) −21.6532 + 15.7320i −0.870315 + 0.632321i −0.930671 0.365856i \(-0.880776\pi\)
0.0603564 + 0.998177i \(0.480776\pi\)
\(620\) 7.83900 + 5.69537i 0.314822 + 0.228731i
\(621\) 10.1218 + 31.1517i 0.406174 + 1.25008i
\(622\) 9.10125 + 28.0108i 0.364927 + 1.12313i
\(623\) −7.72096 5.60961i −0.309334 0.224744i
\(624\) 13.8558 10.0669i 0.554678 0.402997i
\(625\) 0.309017 0.951057i 0.0123607 0.0380423i
\(626\) 22.0645 0.881873
\(627\) −32.3876 + 52.6168i −1.29344 + 2.10131i
\(628\) 8.01766 0.319940
\(629\) 0.673350 2.07236i 0.0268482 0.0826303i
\(630\) −5.59513 + 4.06510i −0.222915 + 0.161957i
\(631\) 34.3550 + 24.9604i 1.36765 + 0.993656i 0.997917 + 0.0645185i \(0.0205511\pi\)
0.369734 + 0.929138i \(0.379449\pi\)
\(632\) 1.04450 + 3.21464i 0.0415480 + 0.127872i
\(633\) −22.2185 68.3814i −0.883105 2.71792i
\(634\) 17.0831 + 12.4116i 0.678456 + 0.492927i
\(635\) −13.2529 + 9.62881i −0.525926 + 0.382108i
\(636\) −5.98827 + 18.4300i −0.237450 + 0.730797i
\(637\) 5.43886 0.215496
\(638\) 20.1397 8.29529i 0.797337 0.328414i
\(639\) −25.0564 −0.991218
\(640\) −0.309017 + 0.951057i −0.0122150 + 0.0375938i
\(641\) 10.3262 7.50244i 0.407861 0.296328i −0.364874 0.931057i \(-0.618888\pi\)
0.772735 + 0.634728i \(0.218888\pi\)
\(642\) 15.7244 + 11.4244i 0.620592 + 0.450886i
\(643\) 0.356675 + 1.09773i 0.0140659 + 0.0432903i 0.957843 0.287292i \(-0.0927549\pi\)
−0.943777 + 0.330582i \(0.892755\pi\)
\(644\) 0.820830 + 2.52626i 0.0323452 + 0.0995484i
\(645\) 30.3169 + 22.0265i 1.19373 + 0.867293i
\(646\) 2.28342 1.65900i 0.0898398 0.0652724i
\(647\) −3.44530 + 10.6035i −0.135449 + 0.416868i −0.995660 0.0930702i \(-0.970332\pi\)
0.860211 + 0.509939i \(0.170332\pi\)
\(648\) −18.0826 −0.710351
\(649\) −1.21651 1.43009i −0.0477522 0.0561361i
\(650\) −5.43886 −0.213330
\(651\) −9.42872 + 29.0186i −0.369541 + 1.13733i
\(652\) 14.8043 10.7559i 0.579780 0.421235i
\(653\) −12.9720 9.42469i −0.507632 0.368817i 0.304292 0.952579i \(-0.401580\pi\)
−0.811925 + 0.583762i \(0.801580\pi\)
\(654\) −14.5223 44.6949i −0.567865 1.74771i
\(655\) 1.73300 + 5.33364i 0.0677141 + 0.208403i
\(656\) −2.04108 1.48293i −0.0796906 0.0578986i
\(657\) −87.5065 + 63.5772i −3.41395 + 2.48038i
\(658\) 2.91289 8.96496i 0.113556 0.349491i
\(659\) 29.5362 1.15057 0.575283 0.817955i \(-0.304892\pi\)
0.575283 + 0.817955i \(0.304892\pi\)
\(660\) 0.798735 + 10.4133i 0.0310907 + 0.405339i
\(661\) 9.49650 0.369371 0.184686 0.982798i \(-0.440873\pi\)
0.184686 + 0.982798i \(0.440873\pi\)
\(662\) 9.62307 29.6168i 0.374011 1.15109i
\(663\) −6.61052 + 4.80282i −0.256731 + 0.186526i
\(664\) 1.40662 + 1.02197i 0.0545875 + 0.0396601i
\(665\) 1.82813 + 5.62641i 0.0708919 + 0.218183i
\(666\) 9.76092 + 30.0410i 0.378228 + 1.16407i
\(667\) −14.1128 10.2535i −0.546449 0.397019i
\(668\) 14.5025 10.5367i 0.561117 0.407676i
\(669\) 15.4508 47.5525i 0.597361 1.83849i
\(670\) 1.24102 0.0479449
\(671\) −0.519699 6.77546i −0.0200628 0.261564i
\(672\) −3.14896 −0.121474
\(673\) 3.56568 10.9740i 0.137447 0.423018i −0.858516 0.512787i \(-0.828613\pi\)
0.995963 + 0.0897690i \(0.0286129\pi\)
\(674\) −1.29523 + 0.941038i −0.0498903 + 0.0362474i
\(675\) 9.97615 + 7.24809i 0.383982 + 0.278979i
\(676\) 5.12389 + 15.7697i 0.197073 + 0.606527i
\(677\) −15.0962 46.4613i −0.580194 1.78565i −0.617768 0.786361i \(-0.711963\pi\)
0.0375733 0.999294i \(-0.488037\pi\)
\(678\) −48.6345 35.3350i −1.86780 1.35703i
\(679\) −3.18070 + 2.31091i −0.122064 + 0.0886848i
\(680\) 0.147430 0.453742i 0.00565367 0.0174002i
\(681\) 26.5089 1.01582
\(682\) 20.8224 + 24.4782i 0.797332 + 0.937320i
\(683\) 35.4736 1.35736 0.678679 0.734435i \(-0.262553\pi\)
0.678679 + 0.734435i \(0.262553\pi\)
\(684\) −12.6433 + 38.9120i −0.483428 + 1.48784i
\(685\) 2.02961 1.47460i 0.0775475 0.0563415i
\(686\) −0.809017 0.587785i −0.0308884 0.0224417i
\(687\) −21.6845 66.7381i −0.827317 2.54622i
\(688\) 3.67741 + 11.3179i 0.140200 + 0.431491i
\(689\) −27.0781 19.6734i −1.03159 0.749495i
\(690\) 6.76700 4.91651i 0.257615 0.187168i
\(691\) −9.32784 + 28.7082i −0.354848 + 1.09211i 0.601250 + 0.799061i \(0.294670\pi\)
−0.956098 + 0.293048i \(0.905330\pi\)
\(692\) −7.68791 −0.292250
\(693\) −21.2090 + 8.73574i −0.805663 + 0.331843i
\(694\) −19.7193 −0.748534
\(695\) 1.02056 3.14097i 0.0387122 0.119144i
\(696\) 16.7305 12.1554i 0.634169 0.460750i
\(697\) 0.973781 + 0.707493i 0.0368846 + 0.0267982i
\(698\) −4.75239 14.6264i −0.179881 0.553616i
\(699\) 12.0673 + 37.1392i 0.456426 + 1.40473i
\(700\) 0.809017 + 0.587785i 0.0305780 + 0.0222162i
\(701\) 9.11674 6.62370i 0.344334 0.250174i −0.402154 0.915572i \(-0.631738\pi\)
0.746488 + 0.665398i \(0.231738\pi\)
\(702\) 20.7251 63.7852i 0.782217 2.40742i
\(703\) 27.0197 1.01907
\(704\) −1.73855 + 2.82444i −0.0655239 + 0.106450i
\(705\) −29.6831 −1.11793
\(706\) 3.20739 9.87133i 0.120712 0.371513i
\(707\) −2.35257 + 1.70924i −0.0884775 + 0.0642827i
\(708\) −1.44216 1.04779i −0.0541995 0.0393783i
\(709\) −13.3134 40.9744i −0.499995 1.53883i −0.809026 0.587773i \(-0.800005\pi\)
0.309031 0.951052i \(-0.399995\pi\)
\(710\) 1.11957 + 3.44567i 0.0420165 + 0.129314i
\(711\) 18.9119 + 13.7403i 0.709253 + 0.515302i
\(712\) −7.72096 + 5.60961i −0.289355 + 0.210229i
\(713\) 7.95346 24.4782i 0.297859 0.916717i
\(714\) 1.50234 0.0562238
\(715\) −17.5319 4.24588i −0.655654 0.158787i
\(716\) 22.7197 0.849076
\(717\) −18.8361 + 57.9716i −0.703447 + 2.16499i
\(718\) 19.2804 14.0080i 0.719539 0.522776i
\(719\) −21.9307 15.9336i −0.817876 0.594222i 0.0982271 0.995164i \(-0.468683\pi\)
−0.916103 + 0.400942i \(0.868683\pi\)
\(720\) 2.13715 + 6.57747i 0.0796468 + 0.245128i
\(721\) 4.92223 + 15.1491i 0.183313 + 0.564181i
\(722\) 12.9431 + 9.40371i 0.481692 + 0.349970i
\(723\) −13.0549 + 9.48490i −0.485515 + 0.352747i
\(724\) −4.22015 + 12.9883i −0.156841 + 0.482706i
\(725\) −6.56726 −0.243902
\(726\) −5.55455 + 34.1903i −0.206149 + 1.26892i
\(727\) 45.5273 1.68851 0.844257 0.535939i \(-0.180042\pi\)
0.844257 + 0.535939i \(0.180042\pi\)
\(728\) 1.68070 5.17267i 0.0622909 0.191712i
\(729\) −6.93084 + 5.03555i −0.256698 + 0.186502i
\(730\) 12.6528 + 9.19282i 0.468303 + 0.340242i
\(731\) −1.75446 5.39968i −0.0648912 0.199715i
\(732\) −1.99373 6.13606i −0.0736903 0.226795i
\(733\) 18.9313 + 13.7544i 0.699243 + 0.508030i 0.879686 0.475556i \(-0.157753\pi\)
−0.180442 + 0.983586i \(0.557753\pi\)
\(734\) −15.6905 + 11.3998i −0.579146 + 0.420774i
\(735\) −0.973083 + 2.99484i −0.0358927 + 0.110466i
\(736\) 2.65626 0.0979111
\(737\) 4.00037 + 0.968813i 0.147355 + 0.0356867i
\(738\) −17.4483 −0.642282
\(739\) 12.6969 39.0770i 0.467062 1.43747i −0.389308 0.921108i \(-0.627286\pi\)
0.856370 0.516362i \(-0.172714\pi\)
\(740\) 3.69499 2.68457i 0.135831 0.0986867i
\(741\) −81.9706 59.5551i −3.01127 2.18781i
\(742\) 1.90167 + 5.85272i 0.0698123 + 0.214860i
\(743\) 4.95392 + 15.2466i 0.181742 + 0.559343i 0.999877 0.0156824i \(-0.00499208\pi\)
−0.818135 + 0.575026i \(0.804992\pi\)
\(744\) 24.6847 + 17.9345i 0.904985 + 0.657510i
\(745\) −5.52597 + 4.01485i −0.202456 + 0.147093i
\(746\) −3.36875 + 10.3680i −0.123339 + 0.379598i
\(747\) 12.0246 0.439958
\(748\) 0.829447 1.34752i 0.0303276 0.0492701i
\(749\) 6.17232 0.225532
\(750\) 0.973083 2.99484i 0.0355319 0.109356i
\(751\) −4.47426 + 3.25074i −0.163268 + 0.118621i −0.666419 0.745577i \(-0.732174\pi\)
0.503151 + 0.864198i \(0.332174\pi\)
\(752\) −7.62605 5.54065i −0.278094 0.202047i
\(753\) 8.74950 + 26.9282i 0.318849 + 0.981317i
\(754\) 11.0376 + 33.9703i 0.401966 + 1.23712i
\(755\) 8.75270 + 6.35921i 0.318544 + 0.231435i
\(756\) −9.97615 + 7.24809i −0.362829 + 0.263611i
\(757\) 7.75464 23.8663i 0.281847 0.867437i −0.705479 0.708731i \(-0.749268\pi\)
0.987326 0.158706i \(-0.0507321\pi\)
\(758\) −6.80767 −0.247266
\(759\) 25.6511 10.5654i 0.931077 0.383499i
\(760\) 5.91596 0.214594
\(761\) 0.994372 3.06036i 0.0360459 0.110938i −0.931415 0.363960i \(-0.881424\pi\)
0.967461 + 0.253022i \(0.0814245\pi\)
\(762\) −41.7329 + 30.3207i −1.51182 + 1.09840i
\(763\) −12.0737 8.77209i −0.437099 0.317571i
\(764\) 2.91150 + 8.96068i 0.105334 + 0.324186i
\(765\) −1.01962 3.13806i −0.0368643 0.113457i
\(766\) −19.6034 14.2427i −0.708298 0.514609i
\(767\) 2.49088 1.80973i 0.0899405 0.0653456i
\(768\) −0.973083 + 2.99484i −0.0351131 + 0.108067i
\(769\) 9.89520 0.356830 0.178415 0.983955i \(-0.442903\pi\)
0.178415 + 0.983955i \(0.442903\pi\)
\(770\) 2.14896 + 2.52626i 0.0774432 + 0.0910399i
\(771\) 56.5163 2.03538
\(772\) −1.57574 + 4.84962i −0.0567120 + 0.174542i
\(773\) −14.8461 + 10.7863i −0.533978 + 0.387958i −0.821844 0.569713i \(-0.807054\pi\)
0.287865 + 0.957671i \(0.407054\pi\)
\(774\) 66.5840 + 48.3761i 2.39331 + 1.73884i