Properties

Label 585.2.i.h.196.3
Level $585$
Weight $2$
Character 585.196
Analytic conductor $4.671$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.i (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(15\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 196.3
Character \(\chi\) \(=\) 585.196
Dual form 585.2.i.h.391.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.09333 + 1.89370i) q^{2} +(1.72789 + 0.119945i) q^{3} +(-1.39073 - 2.40882i) q^{4} +(0.500000 + 0.866025i) q^{5} +(-2.11629 + 3.14097i) q^{6} +(2.12668 - 3.68352i) q^{7} +1.70880 q^{8} +(2.97123 + 0.414503i) q^{9} +O(q^{10})\) \(q+(-1.09333 + 1.89370i) q^{2} +(1.72789 + 0.119945i) q^{3} +(-1.39073 - 2.40882i) q^{4} +(0.500000 + 0.866025i) q^{5} +(-2.11629 + 3.14097i) q^{6} +(2.12668 - 3.68352i) q^{7} +1.70880 q^{8} +(2.97123 + 0.414503i) q^{9} -2.18666 q^{10} +(0.344526 - 0.596736i) q^{11} +(-2.11411 - 4.32900i) q^{12} +(-0.500000 - 0.866025i) q^{13} +(4.65033 + 8.05460i) q^{14} +(0.760071 + 1.55637i) q^{15} +(0.913186 - 1.58168i) q^{16} +2.89736 q^{17} +(-4.03347 + 5.17342i) q^{18} +1.63191 q^{19} +(1.39073 - 2.40882i) q^{20} +(4.11650 - 6.10965i) q^{21} +(0.753360 + 1.30486i) q^{22} +(0.480072 + 0.831510i) q^{23} +(2.95263 + 0.204962i) q^{24} +(-0.500000 + 0.866025i) q^{25} +2.18666 q^{26} +(5.08424 + 1.07260i) q^{27} -11.8306 q^{28} +(-1.58191 + 2.73995i) q^{29} +(-3.77831 - 0.262278i) q^{30} +(-0.953545 - 1.65159i) q^{31} +(3.70563 + 6.41833i) q^{32} +(0.666879 - 0.989773i) q^{33} +(-3.16777 + 5.48673i) q^{34} +4.25337 q^{35} +(-3.13372 - 7.73362i) q^{36} +5.34441 q^{37} +(-1.78422 + 3.09035i) q^{38} +(-0.760071 - 1.55637i) q^{39} +(0.854401 + 1.47987i) q^{40} +(-3.93651 - 6.81823i) q^{41} +(7.06916 + 14.4753i) q^{42} +(-3.78779 + 6.56064i) q^{43} -1.91658 q^{44} +(1.12664 + 2.78041i) q^{45} -2.09951 q^{46} +(-4.08424 + 7.07411i) q^{47} +(1.76760 - 2.62345i) q^{48} +(-5.54556 - 9.60519i) q^{49} +(-1.09333 - 1.89370i) q^{50} +(5.00633 + 0.347523i) q^{51} +(-1.39073 + 2.40882i) q^{52} +11.5941 q^{53} +(-7.58993 + 8.45533i) q^{54} +0.689052 q^{55} +(3.63408 - 6.29441i) q^{56} +(2.81977 + 0.195739i) q^{57} +(-3.45909 - 5.99132i) q^{58} +(-1.44118 - 2.49620i) q^{59} +(2.69196 - 3.99537i) q^{60} +(-2.50678 + 4.34187i) q^{61} +4.17015 q^{62} +(7.84569 - 10.0631i) q^{63} -12.5531 q^{64} +(0.500000 - 0.866025i) q^{65} +(1.14521 + 2.34502i) q^{66} +(-2.77964 - 4.81448i) q^{67} +(-4.02946 - 6.97923i) q^{68} +(0.729778 + 1.49434i) q^{69} +(-4.65033 + 8.05460i) q^{70} -6.84175 q^{71} +(5.07724 + 0.708304i) q^{72} -12.5995 q^{73} +(-5.84320 + 10.1207i) q^{74} +(-0.967822 + 1.43643i) q^{75} +(-2.26956 - 3.93099i) q^{76} +(-1.46539 - 2.53814i) q^{77} +(3.77831 + 0.262278i) q^{78} +(-6.12760 + 10.6133i) q^{79} +1.82637 q^{80} +(8.65637 + 2.46317i) q^{81} +17.2156 q^{82} +(-7.07700 + 12.2577i) q^{83} +(-20.4420 - 1.41902i) q^{84} +(1.44868 + 2.50919i) q^{85} +(-8.28259 - 14.3459i) q^{86} +(-3.06201 + 4.54459i) q^{87} +(0.588727 - 1.01970i) q^{88} -16.7769 q^{89} +(-6.49705 - 0.906377i) q^{90} -4.25337 q^{91} +(1.33531 - 2.31282i) q^{92} +(-1.44952 - 2.96814i) q^{93} +(-8.93083 - 15.4686i) q^{94} +(0.815956 + 1.41328i) q^{95} +(5.63308 + 11.5347i) q^{96} +(6.83463 - 11.8379i) q^{97} +24.2525 q^{98} +(1.27101 - 1.63023i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q + q^{2} + q^{3} - 21 q^{4} + 15 q^{5} - 9 q^{6} - 10 q^{7} + q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 30 q + q^{2} + q^{3} - 21 q^{4} + 15 q^{5} - 9 q^{6} - 10 q^{7} + q^{9} + 2 q^{10} + 9 q^{11} + 18 q^{12} - 15 q^{13} + 3 q^{14} + 2 q^{15} - 33 q^{16} + 6 q^{17} + 9 q^{18} + 30 q^{19} + 21 q^{20} + 9 q^{21} - 10 q^{22} - 6 q^{23} + 24 q^{24} - 15 q^{25} - 2 q^{26} - 2 q^{27} + 70 q^{28} + 8 q^{29} - 6 q^{30} - 22 q^{31} + 21 q^{32} - 20 q^{33} - 9 q^{34} - 20 q^{35} - 7 q^{36} + 8 q^{37} - 14 q^{38} - 2 q^{39} + 13 q^{41} + 21 q^{42} - 24 q^{43} + 10 q^{44} - 7 q^{45} - 6 q^{46} - q^{47} - 27 q^{48} - 37 q^{49} + q^{50} - q^{51} - 21 q^{52} + 14 q^{53} - 24 q^{54} + 18 q^{55} + 17 q^{56} - 55 q^{57} - 22 q^{58} + 19 q^{59} + 9 q^{60} - 16 q^{61} + 26 q^{62} + 4 q^{63} + 72 q^{64} + 15 q^{65} + 24 q^{66} - 11 q^{67} - 28 q^{68} + 44 q^{69} - 3 q^{70} - 56 q^{71} - 18 q^{72} + 52 q^{73} + 8 q^{74} + q^{75} - 18 q^{76} - 24 q^{77} + 6 q^{78} - 44 q^{79} - 66 q^{80} + 37 q^{81} + 70 q^{82} - 3 q^{83} - 139 q^{84} + 3 q^{85} + 40 q^{86} + 60 q^{87} - 37 q^{88} - 8 q^{89} - 12 q^{90} + 20 q^{91} - 74 q^{92} - 55 q^{93} - 2 q^{94} + 15 q^{95} + 55 q^{96} - 33 q^{97} + 6 q^{98} + 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.09333 + 1.89370i −0.773100 + 1.33905i 0.162756 + 0.986666i \(0.447962\pi\)
−0.935856 + 0.352382i \(0.885372\pi\)
\(3\) 1.72789 + 0.119945i 0.997599 + 0.0692501i
\(4\) −1.39073 2.40882i −0.695367 1.20441i
\(5\) 0.500000 + 0.866025i 0.223607 + 0.387298i
\(6\) −2.11629 + 3.14097i −0.863973 + 1.28230i
\(7\) 2.12668 3.68352i 0.803811 1.39224i −0.113281 0.993563i \(-0.536136\pi\)
0.917091 0.398678i \(-0.130531\pi\)
\(8\) 1.70880 0.604153
\(9\) 2.97123 + 0.414503i 0.990409 + 0.138168i
\(10\) −2.18666 −0.691482
\(11\) 0.344526 0.596736i 0.103878 0.179923i −0.809401 0.587256i \(-0.800208\pi\)
0.913279 + 0.407334i \(0.133541\pi\)
\(12\) −2.11411 4.32900i −0.610292 1.24967i
\(13\) −0.500000 0.866025i −0.138675 0.240192i
\(14\) 4.65033 + 8.05460i 1.24285 + 2.15268i
\(15\) 0.760071 + 1.55637i 0.196250 + 0.401853i
\(16\) 0.913186 1.58168i 0.228297 0.395421i
\(17\) 2.89736 0.702713 0.351357 0.936242i \(-0.385720\pi\)
0.351357 + 0.936242i \(0.385720\pi\)
\(18\) −4.03347 + 5.17342i −0.950698 + 1.21939i
\(19\) 1.63191 0.374386 0.187193 0.982323i \(-0.440061\pi\)
0.187193 + 0.982323i \(0.440061\pi\)
\(20\) 1.39073 2.40882i 0.310978 0.538629i
\(21\) 4.11650 6.10965i 0.898294 1.33323i
\(22\) 0.753360 + 1.30486i 0.160617 + 0.278197i
\(23\) 0.480072 + 0.831510i 0.100102 + 0.173382i 0.911727 0.410798i \(-0.134750\pi\)
−0.811624 + 0.584179i \(0.801416\pi\)
\(24\) 2.95263 + 0.204962i 0.602702 + 0.0418377i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) 2.18666 0.428839
\(27\) 5.08424 + 1.07260i 0.978463 + 0.206422i
\(28\) −11.8306 −2.23577
\(29\) −1.58191 + 2.73995i −0.293753 + 0.508795i −0.974694 0.223543i \(-0.928238\pi\)
0.680941 + 0.732338i \(0.261571\pi\)
\(30\) −3.77831 0.262278i −0.689822 0.0478852i
\(31\) −0.953545 1.65159i −0.171262 0.296634i 0.767599 0.640930i \(-0.221451\pi\)
−0.938861 + 0.344296i \(0.888118\pi\)
\(32\) 3.70563 + 6.41833i 0.655068 + 1.13461i
\(33\) 0.666879 0.989773i 0.116089 0.172297i
\(34\) −3.16777 + 5.48673i −0.543268 + 0.940967i
\(35\) 4.25337 0.718950
\(36\) −3.13372 7.73362i −0.522287 1.28894i
\(37\) 5.34441 0.878616 0.439308 0.898337i \(-0.355224\pi\)
0.439308 + 0.898337i \(0.355224\pi\)
\(38\) −1.78422 + 3.09035i −0.289438 + 0.501321i
\(39\) −0.760071 1.55637i −0.121709 0.249219i
\(40\) 0.854401 + 1.47987i 0.135093 + 0.233987i
\(41\) −3.93651 6.81823i −0.614779 1.06483i −0.990423 0.138065i \(-0.955912\pi\)
0.375644 0.926764i \(-0.377422\pi\)
\(42\) 7.06916 + 14.4753i 1.09079 + 2.23358i
\(43\) −3.78779 + 6.56064i −0.577632 + 1.00049i 0.418118 + 0.908393i \(0.362690\pi\)
−0.995750 + 0.0920953i \(0.970644\pi\)
\(44\) −1.91658 −0.288935
\(45\) 1.12664 + 2.78041i 0.167950 + 0.414479i
\(46\) −2.09951 −0.309555
\(47\) −4.08424 + 7.07411i −0.595747 + 1.03186i 0.397694 + 0.917518i \(0.369811\pi\)
−0.993441 + 0.114346i \(0.963523\pi\)
\(48\) 1.76760 2.62345i 0.255131 0.378662i
\(49\) −5.54556 9.60519i −0.792223 1.37217i
\(50\) −1.09333 1.89370i −0.154620 0.267810i
\(51\) 5.00633 + 0.347523i 0.701026 + 0.0486630i
\(52\) −1.39073 + 2.40882i −0.192860 + 0.334043i
\(53\) 11.5941 1.59257 0.796287 0.604919i \(-0.206795\pi\)
0.796287 + 0.604919i \(0.206795\pi\)
\(54\) −7.58993 + 8.45533i −1.03286 + 1.15062i
\(55\) 0.689052 0.0929117
\(56\) 3.63408 6.29441i 0.485624 0.841126i
\(57\) 2.81977 + 0.195739i 0.373488 + 0.0259263i
\(58\) −3.45909 5.99132i −0.454201 0.786699i
\(59\) −1.44118 2.49620i −0.187626 0.324978i 0.756832 0.653609i \(-0.226746\pi\)
−0.944458 + 0.328631i \(0.893413\pi\)
\(60\) 2.69196 3.99537i 0.347531 0.515801i
\(61\) −2.50678 + 4.34187i −0.320961 + 0.555920i −0.980686 0.195586i \(-0.937339\pi\)
0.659726 + 0.751506i \(0.270672\pi\)
\(62\) 4.17015 0.529610
\(63\) 7.84569 10.0631i 0.988464 1.26783i
\(64\) −12.5531 −1.56914
\(65\) 0.500000 0.866025i 0.0620174 0.107417i
\(66\) 1.14521 + 2.34502i 0.140966 + 0.288652i
\(67\) −2.77964 4.81448i −0.339587 0.588182i 0.644768 0.764378i \(-0.276954\pi\)
−0.984355 + 0.176196i \(0.943621\pi\)
\(68\) −4.02946 6.97923i −0.488644 0.846356i
\(69\) 0.729778 + 1.49434i 0.0878550 + 0.179898i
\(70\) −4.65033 + 8.05460i −0.555820 + 0.962709i
\(71\) −6.84175 −0.811966 −0.405983 0.913881i \(-0.633071\pi\)
−0.405983 + 0.913881i \(0.633071\pi\)
\(72\) 5.07724 + 0.708304i 0.598358 + 0.0834745i
\(73\) −12.5995 −1.47465 −0.737327 0.675536i \(-0.763912\pi\)
−0.737327 + 0.675536i \(0.763912\pi\)
\(74\) −5.84320 + 10.1207i −0.679258 + 1.17651i
\(75\) −0.967822 + 1.43643i −0.111754 + 0.165864i
\(76\) −2.26956 3.93099i −0.260336 0.450915i
\(77\) −1.46539 2.53814i −0.166997 0.289248i
\(78\) 3.77831 + 0.262278i 0.427809 + 0.0296971i
\(79\) −6.12760 + 10.6133i −0.689409 + 1.19409i 0.282620 + 0.959232i \(0.408796\pi\)
−0.972029 + 0.234859i \(0.924537\pi\)
\(80\) 1.82637 0.204195
\(81\) 8.65637 + 2.46317i 0.961819 + 0.273685i
\(82\) 17.2156 1.90114
\(83\) −7.07700 + 12.2577i −0.776802 + 1.34546i 0.156974 + 0.987603i \(0.449826\pi\)
−0.933776 + 0.357858i \(0.883507\pi\)
\(84\) −20.4420 1.41902i −2.23041 0.154828i
\(85\) 1.44868 + 2.50919i 0.157131 + 0.272160i
\(86\) −8.28259 14.3459i −0.893134 1.54695i
\(87\) −3.06201 + 4.54459i −0.328282 + 0.487231i
\(88\) 0.588727 1.01970i 0.0627585 0.108701i
\(89\) −16.7769 −1.77835 −0.889176 0.457564i \(-0.848722\pi\)
−0.889176 + 0.457564i \(0.848722\pi\)
\(90\) −6.49705 0.906377i −0.684849 0.0955405i
\(91\) −4.25337 −0.445874
\(92\) 1.33531 2.31282i 0.139215 0.241128i
\(93\) −1.44952 2.96814i −0.150309 0.307782i
\(94\) −8.93083 15.4686i −0.921144 1.59547i
\(95\) 0.815956 + 1.41328i 0.0837153 + 0.144999i
\(96\) 5.63308 + 11.5347i 0.574924 + 1.17725i
\(97\) 6.83463 11.8379i 0.693952 1.20196i −0.276581 0.960991i \(-0.589201\pi\)
0.970533 0.240969i \(-0.0774653\pi\)
\(98\) 24.2525 2.44987
\(99\) 1.27101 1.63023i 0.127742 0.163844i
\(100\) 2.78147 0.278147
\(101\) 7.30116 12.6460i 0.726493 1.25832i −0.231863 0.972748i \(-0.574482\pi\)
0.958357 0.285574i \(-0.0921844\pi\)
\(102\) −6.13167 + 9.10053i −0.607126 + 0.901087i
\(103\) 8.91125 + 15.4347i 0.878051 + 1.52083i 0.853477 + 0.521131i \(0.174490\pi\)
0.0245745 + 0.999698i \(0.492177\pi\)
\(104\) −0.854401 1.47987i −0.0837809 0.145113i
\(105\) 7.34936 + 0.510169i 0.717224 + 0.0497874i
\(106\) −12.6762 + 21.9558i −1.23122 + 2.13253i
\(107\) 7.01124 0.677802 0.338901 0.940822i \(-0.389945\pi\)
0.338901 + 0.940822i \(0.389945\pi\)
\(108\) −4.48713 13.7387i −0.431774 1.32201i
\(109\) −1.29945 −0.124464 −0.0622322 0.998062i \(-0.519822\pi\)
−0.0622322 + 0.998062i \(0.519822\pi\)
\(110\) −0.753360 + 1.30486i −0.0718301 + 0.124413i
\(111\) 9.23457 + 0.641034i 0.876507 + 0.0608443i
\(112\) −3.88411 6.72748i −0.367014 0.635687i
\(113\) 0.778397 + 1.34822i 0.0732254 + 0.126830i 0.900313 0.435243i \(-0.143337\pi\)
−0.827088 + 0.562073i \(0.810004\pi\)
\(114\) −3.45361 + 5.12579i −0.323460 + 0.480074i
\(115\) −0.480072 + 0.831510i −0.0447670 + 0.0775387i
\(116\) 8.80006 0.817065
\(117\) −1.12664 2.78041i −0.104158 0.257049i
\(118\) 6.30274 0.580215
\(119\) 6.16177 10.6725i 0.564848 0.978346i
\(120\) 1.29881 + 2.65953i 0.118565 + 0.242781i
\(121\) 5.26260 + 9.11510i 0.478419 + 0.828645i
\(122\) −5.48147 9.49419i −0.496269 0.859563i
\(123\) −5.98405 12.2533i −0.539564 1.10485i
\(124\) −2.65226 + 4.59384i −0.238180 + 0.412539i
\(125\) −1.00000 −0.0894427
\(126\) 10.4785 + 25.8596i 0.933500 + 2.30376i
\(127\) 5.95367 0.528303 0.264152 0.964481i \(-0.414908\pi\)
0.264152 + 0.964481i \(0.414908\pi\)
\(128\) 6.31343 10.9352i 0.558034 0.966543i
\(129\) −7.33180 + 10.8818i −0.645529 + 0.958085i
\(130\) 1.09333 + 1.89370i 0.0958912 + 0.166089i
\(131\) −1.94294 3.36528i −0.169756 0.294026i 0.768578 0.639756i \(-0.220965\pi\)
−0.938334 + 0.345730i \(0.887631\pi\)
\(132\) −3.31164 0.229883i −0.288241 0.0200088i
\(133\) 3.47056 6.01119i 0.300936 0.521236i
\(134\) 12.1562 1.05014
\(135\) 1.61322 + 4.93938i 0.138844 + 0.425114i
\(136\) 4.95102 0.424546
\(137\) 8.13046 14.0824i 0.694632 1.20314i −0.275673 0.961252i \(-0.588901\pi\)
0.970305 0.241886i \(-0.0777660\pi\)
\(138\) −3.62772 0.251825i −0.308812 0.0214368i
\(139\) −9.36970 16.2288i −0.794727 1.37651i −0.923012 0.384771i \(-0.874280\pi\)
0.128285 0.991737i \(-0.459053\pi\)
\(140\) −5.91530 10.2456i −0.499934 0.865911i
\(141\) −7.90563 + 11.7334i −0.665774 + 0.988132i
\(142\) 7.48028 12.9562i 0.627731 1.08726i
\(143\) −0.689052 −0.0576214
\(144\) 3.36890 4.32102i 0.280741 0.360085i
\(145\) −3.16382 −0.262741
\(146\) 13.7753 23.8596i 1.14006 1.97463i
\(147\) −8.43004 17.2619i −0.695298 1.42374i
\(148\) −7.43266 12.8737i −0.610961 1.05821i
\(149\) 0.342103 + 0.592539i 0.0280261 + 0.0485427i 0.879698 0.475532i \(-0.157745\pi\)
−0.851672 + 0.524075i \(0.824411\pi\)
\(150\) −1.66201 3.40325i −0.135703 0.277874i
\(151\) 5.42725 9.40027i 0.441663 0.764983i −0.556150 0.831082i \(-0.687722\pi\)
0.997813 + 0.0660989i \(0.0210553\pi\)
\(152\) 2.78862 0.226187
\(153\) 8.60872 + 1.20097i 0.695973 + 0.0970924i
\(154\) 6.40863 0.516422
\(155\) 0.953545 1.65159i 0.0765906 0.132659i
\(156\) −2.69196 + 3.99537i −0.215530 + 0.319886i
\(157\) −9.01254 15.6102i −0.719279 1.24583i −0.961286 0.275554i \(-0.911139\pi\)
0.242006 0.970275i \(-0.422195\pi\)
\(158\) −13.3990 23.2077i −1.06596 1.84630i
\(159\) 20.0334 + 1.39065i 1.58875 + 0.110286i
\(160\) −3.70563 + 6.41833i −0.292956 + 0.507414i
\(161\) 4.08385 0.321852
\(162\) −14.1288 + 13.6995i −1.11006 + 1.07634i
\(163\) 13.1672 1.03134 0.515669 0.856788i \(-0.327544\pi\)
0.515669 + 0.856788i \(0.327544\pi\)
\(164\) −10.9493 + 18.9647i −0.854994 + 1.48089i
\(165\) 1.19061 + 0.0826482i 0.0926887 + 0.00643415i
\(166\) −15.4750 26.8034i −1.20109 2.08035i
\(167\) 0.599138 + 1.03774i 0.0463627 + 0.0803026i 0.888276 0.459311i \(-0.151904\pi\)
−0.841913 + 0.539614i \(0.818570\pi\)
\(168\) 7.03428 10.4402i 0.542707 0.805477i
\(169\) −0.500000 + 0.866025i −0.0384615 + 0.0666173i
\(170\) −6.33553 −0.485913
\(171\) 4.84878 + 0.676433i 0.370796 + 0.0517281i
\(172\) 21.0712 1.60666
\(173\) −7.17684 + 12.4307i −0.545645 + 0.945086i 0.452921 + 0.891551i \(0.350382\pi\)
−0.998566 + 0.0535347i \(0.982951\pi\)
\(174\) −5.25831 10.7673i −0.398631 0.816264i
\(175\) 2.12668 + 3.68352i 0.160762 + 0.278448i
\(176\) −0.629233 1.08986i −0.0474302 0.0821515i
\(177\) −2.19080 4.48603i −0.164671 0.337191i
\(178\) 18.3427 31.7705i 1.37484 2.38130i
\(179\) −14.3886 −1.07545 −0.537727 0.843119i \(-0.680717\pi\)
−0.537727 + 0.843119i \(0.680717\pi\)
\(180\) 5.13065 6.58069i 0.382416 0.490496i
\(181\) 17.5268 1.30276 0.651379 0.758752i \(-0.274191\pi\)
0.651379 + 0.758752i \(0.274191\pi\)
\(182\) 4.65033 8.05460i 0.344705 0.597047i
\(183\) −4.85224 + 7.20162i −0.358688 + 0.532359i
\(184\) 0.820349 + 1.42089i 0.0604769 + 0.104749i
\(185\) 2.67221 + 4.62840i 0.196465 + 0.340286i
\(186\) 7.20558 + 0.500188i 0.528338 + 0.0366756i
\(187\) 0.998216 1.72896i 0.0729968 0.126434i
\(188\) 22.7204 1.65705
\(189\) 14.7635 16.4468i 1.07389 1.19633i
\(190\) −3.56843 −0.258881
\(191\) −6.93881 + 12.0184i −0.502075 + 0.869619i 0.497922 + 0.867222i \(0.334096\pi\)
−0.999997 + 0.00239740i \(0.999237\pi\)
\(192\) −21.6904 1.50568i −1.56537 0.108663i
\(193\) 1.64162 + 2.84336i 0.118166 + 0.204670i 0.919041 0.394162i \(-0.128965\pi\)
−0.800875 + 0.598832i \(0.795632\pi\)
\(194\) 14.9450 + 25.8855i 1.07299 + 1.85847i
\(195\) 0.967822 1.43643i 0.0693071 0.102865i
\(196\) −15.4248 + 26.7165i −1.10177 + 1.90832i
\(197\) −0.446318 −0.0317989 −0.0158994 0.999874i \(-0.505061\pi\)
−0.0158994 + 0.999874i \(0.505061\pi\)
\(198\) 1.69754 + 4.18930i 0.120639 + 0.297720i
\(199\) 20.1948 1.43157 0.715786 0.698320i \(-0.246069\pi\)
0.715786 + 0.698320i \(0.246069\pi\)
\(200\) −0.854401 + 1.47987i −0.0604153 + 0.104642i
\(201\) −4.22545 8.65231i −0.298040 0.610287i
\(202\) 15.9651 + 27.6524i 1.12330 + 1.94562i
\(203\) 6.72844 + 11.6540i 0.472244 + 0.817950i
\(204\) −6.12535 12.5427i −0.428860 0.878162i
\(205\) 3.93651 6.81823i 0.274938 0.476206i
\(206\) −38.9717 −2.71529
\(207\) 1.08174 + 2.66960i 0.0751862 + 0.185550i
\(208\) −1.82637 −0.126636
\(209\) 0.562236 0.973822i 0.0388907 0.0673606i
\(210\) −9.00137 + 13.3597i −0.621154 + 0.921907i
\(211\) −7.62202 13.2017i −0.524721 0.908844i −0.999586 0.0287851i \(-0.990836\pi\)
0.474864 0.880059i \(-0.342497\pi\)
\(212\) −16.1243 27.9282i −1.10742 1.91811i
\(213\) −11.8218 0.820632i −0.810017 0.0562288i
\(214\) −7.66558 + 13.2772i −0.524008 + 0.907609i
\(215\) −7.57557 −0.516650
\(216\) 8.68797 + 1.83286i 0.591141 + 0.124710i
\(217\) −8.11155 −0.550648
\(218\) 1.42072 2.46076i 0.0962234 0.166664i
\(219\) −21.7705 1.51124i −1.47111 0.102120i
\(220\) −0.958288 1.65980i −0.0646078 0.111904i
\(221\) −1.44868 2.50919i −0.0974488 0.168786i
\(222\) −11.3103 + 16.7866i −0.759101 + 1.12665i
\(223\) −7.82617 + 13.5553i −0.524079 + 0.907732i 0.475528 + 0.879701i \(0.342257\pi\)
−0.999607 + 0.0280311i \(0.991076\pi\)
\(224\) 31.5228 2.10620
\(225\) −1.84458 + 2.36591i −0.122972 + 0.157727i
\(226\) −3.40417 −0.226442
\(227\) −9.64199 + 16.7004i −0.639961 + 1.10845i 0.345479 + 0.938426i \(0.387716\pi\)
−0.985441 + 0.170019i \(0.945617\pi\)
\(228\) −3.45005 7.06454i −0.228485 0.467861i
\(229\) 8.38050 + 14.5155i 0.553799 + 0.959208i 0.997996 + 0.0632791i \(0.0201558\pi\)
−0.444197 + 0.895929i \(0.646511\pi\)
\(230\) −1.04975 1.81823i −0.0692187 0.119890i
\(231\) −2.22761 4.56140i −0.146566 0.300118i
\(232\) −2.70317 + 4.68203i −0.177472 + 0.307390i
\(233\) −18.0229 −1.18072 −0.590358 0.807141i \(-0.701014\pi\)
−0.590358 + 0.807141i \(0.701014\pi\)
\(234\) 6.49705 + 0.906377i 0.424726 + 0.0592517i
\(235\) −8.16848 −0.532853
\(236\) −4.00860 + 6.94311i −0.260938 + 0.451958i
\(237\) −11.8608 + 17.6037i −0.770445 + 1.14348i
\(238\) 13.4737 + 23.3371i 0.873368 + 1.51272i
\(239\) −9.22727 15.9821i −0.596863 1.03380i −0.993281 0.115727i \(-0.963080\pi\)
0.396418 0.918070i \(-0.370253\pi\)
\(240\) 3.15578 + 0.219064i 0.203704 + 0.0141405i
\(241\) −1.84614 + 3.19760i −0.118920 + 0.205976i −0.919340 0.393464i \(-0.871277\pi\)
0.800420 + 0.599440i \(0.204610\pi\)
\(242\) −23.0150 −1.47946
\(243\) 14.6618 + 5.29438i 0.940558 + 0.339634i
\(244\) 13.9451 0.892741
\(245\) 5.54556 9.60519i 0.354293 0.613653i
\(246\) 29.7467 + 2.06492i 1.89658 + 0.131654i
\(247\) −0.815956 1.41328i −0.0519180 0.0899247i
\(248\) −1.62942 2.82224i −0.103468 0.179212i
\(249\) −13.6986 + 20.3312i −0.868110 + 1.28844i
\(250\) 1.09333 1.89370i 0.0691482 0.119768i
\(251\) −10.5672 −0.666997 −0.333499 0.942751i \(-0.608229\pi\)
−0.333499 + 0.942751i \(0.608229\pi\)
\(252\) −35.1514 4.90382i −2.21433 0.308912i
\(253\) 0.661590 0.0415938
\(254\) −6.50932 + 11.2745i −0.408431 + 0.707423i
\(255\) 2.20220 + 4.50937i 0.137907 + 0.282388i
\(256\) 1.25219 + 2.16885i 0.0782617 + 0.135553i
\(257\) 10.2856 + 17.8151i 0.641596 + 1.11128i 0.985076 + 0.172117i \(0.0550608\pi\)
−0.343480 + 0.939160i \(0.611606\pi\)
\(258\) −12.5907 25.7816i −0.783864 1.60509i
\(259\) 11.3659 19.6863i 0.706241 1.22324i
\(260\) −2.78147 −0.172499
\(261\) −5.83593 + 7.48529i −0.361235 + 0.463328i
\(262\) 8.49711 0.524953
\(263\) −4.37556 + 7.57869i −0.269808 + 0.467322i −0.968812 0.247796i \(-0.920294\pi\)
0.699004 + 0.715118i \(0.253627\pi\)
\(264\) 1.13956 1.69133i 0.0701354 0.104094i
\(265\) 5.79706 + 10.0408i 0.356110 + 0.616801i
\(266\) 7.58892 + 13.1444i 0.465307 + 0.805935i
\(267\) −28.9888 2.01231i −1.77408 0.123151i
\(268\) −7.73148 + 13.3913i −0.472275 + 0.818005i
\(269\) −14.5794 −0.888919 −0.444459 0.895799i \(-0.646604\pi\)
−0.444459 + 0.895799i \(0.646604\pi\)
\(270\) −11.1175 2.34541i −0.676589 0.142737i
\(271\) −12.5060 −0.759687 −0.379844 0.925051i \(-0.624022\pi\)
−0.379844 + 0.925051i \(0.624022\pi\)
\(272\) 2.64583 4.58271i 0.160427 0.277868i
\(273\) −7.34936 0.510169i −0.444803 0.0308768i
\(274\) 17.7785 + 30.7933i 1.07404 + 1.86029i
\(275\) 0.344526 + 0.596736i 0.0207757 + 0.0359846i
\(276\) 2.58468 3.83614i 0.155579 0.230908i
\(277\) −1.06039 + 1.83664i −0.0637125 + 0.110353i −0.896122 0.443807i \(-0.853627\pi\)
0.832410 + 0.554161i \(0.186961\pi\)
\(278\) 40.9766 2.45762
\(279\) −2.14861 5.30249i −0.128634 0.317452i
\(280\) 7.26816 0.434356
\(281\) −10.7282 + 18.5818i −0.639991 + 1.10850i 0.345443 + 0.938440i \(0.387729\pi\)
−0.985434 + 0.170057i \(0.945605\pi\)
\(282\) −13.5761 27.7994i −0.808447 1.65543i
\(283\) −6.77940 11.7423i −0.402994 0.698005i 0.591092 0.806604i \(-0.298697\pi\)
−0.994086 + 0.108599i \(0.965364\pi\)
\(284\) 9.51506 + 16.4806i 0.564615 + 0.977941i
\(285\) 1.24037 + 2.53986i 0.0734731 + 0.150448i
\(286\) 0.753360 1.30486i 0.0445471 0.0771579i
\(287\) −33.4868 −1.97666
\(288\) 8.34983 + 20.6063i 0.492019 + 1.21424i
\(289\) −8.60530 −0.506194
\(290\) 3.45909 5.99132i 0.203125 0.351823i
\(291\) 13.2294 19.6349i 0.775522 1.15102i
\(292\) 17.5225 + 30.3498i 1.02543 + 1.77609i
\(293\) −3.43491 5.94944i −0.200670 0.347570i 0.748075 0.663615i \(-0.230978\pi\)
−0.948744 + 0.316044i \(0.897645\pi\)
\(294\) 41.9057 + 2.90896i 2.44399 + 0.169654i
\(295\) 1.44118 2.49620i 0.0839089 0.145335i
\(296\) 9.13254 0.530818
\(297\) 2.39171 2.66441i 0.138781 0.154605i
\(298\) −1.49612 −0.0866680
\(299\) 0.480072 0.831510i 0.0277633 0.0480875i
\(300\) 4.80608 + 0.333623i 0.277479 + 0.0192617i
\(301\) 16.1108 + 27.9048i 0.928613 + 1.60841i
\(302\) 11.8675 + 20.5552i 0.682900 + 1.18282i
\(303\) 14.1324 20.9752i 0.811888 1.20499i
\(304\) 1.49024 2.58117i 0.0854711 0.148040i
\(305\) −5.01356 −0.287076
\(306\) −11.6864 + 14.9893i −0.668068 + 0.856880i
\(307\) 25.0619 1.43036 0.715180 0.698940i \(-0.246345\pi\)
0.715180 + 0.698940i \(0.246345\pi\)
\(308\) −4.07595 + 7.05975i −0.232249 + 0.402267i
\(309\) 13.5464 + 27.7384i 0.770626 + 1.57798i
\(310\) 2.08508 + 3.61146i 0.118424 + 0.205117i
\(311\) −10.0538 17.4137i −0.570100 0.987442i −0.996555 0.0829334i \(-0.973571\pi\)
0.426455 0.904509i \(-0.359762\pi\)
\(312\) −1.29881 2.65953i −0.0735307 0.150566i
\(313\) 12.5881 21.8032i 0.711521 1.23239i −0.252765 0.967528i \(-0.581340\pi\)
0.964286 0.264863i \(-0.0853267\pi\)
\(314\) 39.4147 2.22430
\(315\) 12.6377 + 1.76303i 0.712054 + 0.0993357i
\(316\) 34.0874 1.91757
\(317\) 0.567820 0.983493i 0.0318920 0.0552385i −0.849639 0.527365i \(-0.823180\pi\)
0.881531 + 0.472126i \(0.156513\pi\)
\(318\) −24.5366 + 36.4168i −1.37594 + 2.04215i
\(319\) 1.09002 + 1.88797i 0.0610292 + 0.105706i
\(320\) −6.27656 10.8713i −0.350870 0.607725i
\(321\) 12.1147 + 0.840961i 0.676175 + 0.0469379i
\(322\) −4.46499 + 7.73358i −0.248824 + 0.430976i
\(323\) 4.72824 0.263086
\(324\) −6.10538 24.2773i −0.339188 1.34874i
\(325\) 1.00000 0.0554700
\(326\) −14.3961 + 24.9348i −0.797327 + 1.38101i
\(327\) −2.24530 0.155862i −0.124166 0.00861918i
\(328\) −6.72671 11.6510i −0.371421 0.643319i
\(329\) 17.3718 + 30.0888i 0.957736 + 1.65885i
\(330\) −1.45824 + 2.16429i −0.0802733 + 0.119140i
\(331\) −3.74544 + 6.48729i −0.205868 + 0.356574i −0.950409 0.311003i \(-0.899335\pi\)
0.744541 + 0.667577i \(0.232668\pi\)
\(332\) 39.3689 2.16065
\(333\) 15.8795 + 2.21528i 0.870189 + 0.121396i
\(334\) −2.62022 −0.143372
\(335\) 2.77964 4.81448i 0.151868 0.263043i
\(336\) −5.90441 12.0902i −0.322112 0.659577i
\(337\) 3.38164 + 5.85718i 0.184210 + 0.319061i 0.943310 0.331913i \(-0.107694\pi\)
−0.759100 + 0.650974i \(0.774361\pi\)
\(338\) −1.09333 1.89370i −0.0594692 0.103004i
\(339\) 1.18327 + 2.42295i 0.0642666 + 0.131597i
\(340\) 4.02946 6.97923i 0.218528 0.378502i
\(341\) −1.31408 −0.0711617
\(342\) −6.58227 + 8.44257i −0.355929 + 0.456522i
\(343\) −17.4010 −0.939567
\(344\) −6.47258 + 11.2108i −0.348978 + 0.604448i
\(345\) −0.929249 + 1.37918i −0.0500291 + 0.0742524i
\(346\) −15.6933 27.1816i −0.843677 1.46129i
\(347\) −18.1026 31.3546i −0.971797 1.68320i −0.690125 0.723691i \(-0.742444\pi\)
−0.281672 0.959511i \(-0.590889\pi\)
\(348\) 15.2056 + 1.05552i 0.815103 + 0.0565818i
\(349\) 2.52269 4.36942i 0.135036 0.233890i −0.790575 0.612365i \(-0.790218\pi\)
0.925611 + 0.378475i \(0.123552\pi\)
\(350\) −9.30065 −0.497141
\(351\) −1.61322 4.93938i −0.0861074 0.263645i
\(352\) 5.10674 0.272190
\(353\) −7.28971 + 12.6261i −0.387992 + 0.672022i −0.992179 0.124820i \(-0.960165\pi\)
0.604187 + 0.796842i \(0.293498\pi\)
\(354\) 10.8905 + 0.755981i 0.578822 + 0.0401800i
\(355\) −3.42088 5.92513i −0.181561 0.314473i
\(356\) 23.3323 + 40.4127i 1.23661 + 2.14187i
\(357\) 11.9270 17.7019i 0.631243 0.936882i
\(358\) 15.7314 27.2477i 0.831433 1.44008i
\(359\) −27.3341 −1.44264 −0.721320 0.692602i \(-0.756464\pi\)
−0.721320 + 0.692602i \(0.756464\pi\)
\(360\) 1.92521 + 4.75117i 0.101467 + 0.250409i
\(361\) −16.3369 −0.859835
\(362\) −19.1626 + 33.1905i −1.00716 + 1.74446i
\(363\) 7.99991 + 16.3811i 0.419886 + 0.859786i
\(364\) 5.91530 + 10.2456i 0.310046 + 0.537015i
\(365\) −6.29973 10.9114i −0.329743 0.571131i
\(366\) −8.33262 17.0624i −0.435553 0.891867i
\(367\) −18.1241 + 31.3919i −0.946072 + 1.63865i −0.192482 + 0.981300i \(0.561654\pi\)
−0.753590 + 0.657345i \(0.771680\pi\)
\(368\) 1.75358 0.0914118
\(369\) −8.87008 21.8902i −0.461758 1.13956i
\(370\) −11.6864 −0.607547
\(371\) 24.6570 42.7072i 1.28013 2.21725i
\(372\) −5.13382 + 7.61954i −0.266176 + 0.395055i
\(373\) −3.29989 5.71558i −0.170862 0.295942i 0.767860 0.640618i \(-0.221322\pi\)
−0.938721 + 0.344677i \(0.887989\pi\)
\(374\) 2.18276 + 3.78064i 0.112868 + 0.195492i
\(375\) −1.72789 0.119945i −0.0892280 0.00619392i
\(376\) −6.97915 + 12.0883i −0.359922 + 0.623404i
\(377\) 3.16382 0.162945
\(378\) 15.0040 + 45.9395i 0.771723 + 2.36287i
\(379\) −33.0304 −1.69666 −0.848328 0.529471i \(-0.822390\pi\)
−0.848328 + 0.529471i \(0.822390\pi\)
\(380\) 2.26956 3.93099i 0.116426 0.201655i
\(381\) 10.2873 + 0.714112i 0.527035 + 0.0365851i
\(382\) −15.1728 26.2801i −0.776308 1.34460i
\(383\) 5.72853 + 9.92210i 0.292714 + 0.506996i 0.974451 0.224602i \(-0.0721083\pi\)
−0.681736 + 0.731598i \(0.738775\pi\)
\(384\) 12.2206 18.1376i 0.623627 0.925579i
\(385\) 1.46539 2.53814i 0.0746834 0.129356i
\(386\) −7.17931 −0.365417
\(387\) −13.9738 + 17.9231i −0.710327 + 0.911082i
\(388\) −38.0206 −1.93020
\(389\) −1.50802 + 2.61197i −0.0764599 + 0.132432i −0.901720 0.432320i \(-0.857695\pi\)
0.825260 + 0.564753i \(0.191028\pi\)
\(390\) 1.66201 + 3.40325i 0.0841594 + 0.172330i
\(391\) 1.39094 + 2.40918i 0.0703430 + 0.121838i
\(392\) −9.47626 16.4134i −0.478624 0.829000i
\(393\) −2.95355 6.04789i −0.148987 0.305076i
\(394\) 0.487972 0.845193i 0.0245837 0.0425802i
\(395\) −12.2552 −0.616626
\(396\) −5.69458 0.794427i −0.286163 0.0399215i
\(397\) 13.8542 0.695322 0.347661 0.937620i \(-0.386976\pi\)
0.347661 + 0.937620i \(0.386976\pi\)
\(398\) −22.0796 + 38.2429i −1.10675 + 1.91694i
\(399\) 6.71777 9.97041i 0.336309 0.499145i
\(400\) 0.913186 + 1.58168i 0.0456593 + 0.0790842i
\(401\) 3.57066 + 6.18456i 0.178310 + 0.308842i 0.941302 0.337566i \(-0.109604\pi\)
−0.762992 + 0.646408i \(0.776270\pi\)
\(402\) 21.0047 + 1.45808i 1.04762 + 0.0727223i
\(403\) −0.953545 + 1.65159i −0.0474995 + 0.0822715i
\(404\) −40.6159 −2.02072
\(405\) 2.19502 + 8.72822i 0.109072 + 0.433709i
\(406\) −29.4256 −1.46037
\(407\) 1.84129 3.18921i 0.0912693 0.158083i
\(408\) 8.55483 + 0.593849i 0.423527 + 0.0293999i
\(409\) −10.0719 17.4450i −0.498022 0.862599i 0.501976 0.864882i \(-0.332607\pi\)
−0.999997 + 0.00228263i \(0.999273\pi\)
\(410\) 8.60779 + 14.9091i 0.425109 + 0.736310i
\(411\) 15.7377 23.3576i 0.776282 1.15215i
\(412\) 24.7863 42.9312i 1.22114 2.11507i
\(413\) −12.2598 −0.603263
\(414\) −6.23811 0.870253i −0.306586 0.0427706i
\(415\) −14.1540 −0.694793
\(416\) 3.70563 6.41833i 0.181683 0.314685i
\(417\) −14.2433 29.1655i −0.697496 1.42824i
\(418\) 1.22942 + 2.12941i 0.0601328 + 0.104153i
\(419\) 16.8782 + 29.2339i 0.824553 + 1.42817i 0.902260 + 0.431191i \(0.141907\pi\)
−0.0777074 + 0.996976i \(0.524760\pi\)
\(420\) −8.99210 18.4128i −0.438769 0.898453i
\(421\) 0.814846 1.41135i 0.0397132 0.0687852i −0.845486 0.533998i \(-0.820689\pi\)
0.885199 + 0.465213i \(0.154022\pi\)
\(422\) 33.3335 1.62265
\(423\) −15.0674 + 19.3258i −0.732604 + 0.939655i
\(424\) 19.8120 0.962158
\(425\) −1.44868 + 2.50919i −0.0702713 + 0.121714i
\(426\) 14.4792 21.4897i 0.701517 1.04118i
\(427\) 10.6623 + 18.4676i 0.515983 + 0.893709i
\(428\) −9.75076 16.8888i −0.471321 0.816352i
\(429\) −1.19061 0.0826482i −0.0574831 0.00399029i
\(430\) 8.28259 14.3459i 0.399422 0.691819i
\(431\) 22.6923 1.09305 0.546524 0.837443i \(-0.315951\pi\)
0.546524 + 0.837443i \(0.315951\pi\)
\(432\) 6.33938 7.06219i 0.305003 0.339780i
\(433\) 35.0666 1.68519 0.842596 0.538546i \(-0.181026\pi\)
0.842596 + 0.538546i \(0.181026\pi\)
\(434\) 8.86859 15.3608i 0.425706 0.737344i
\(435\) −5.46674 0.379483i −0.262110 0.0181948i
\(436\) 1.80718 + 3.13014i 0.0865485 + 0.149906i
\(437\) 0.783436 + 1.35695i 0.0374768 + 0.0649118i
\(438\) 26.6641 39.5745i 1.27406 1.89094i
\(439\) −19.2721 + 33.3803i −0.919808 + 1.59315i −0.120102 + 0.992762i \(0.538322\pi\)
−0.799706 + 0.600392i \(0.795011\pi\)
\(440\) 1.17745 0.0561329
\(441\) −12.4957 30.8378i −0.595035 1.46847i
\(442\) 6.33553 0.301351
\(443\) 17.4558 30.2343i 0.829348 1.43647i −0.0692025 0.997603i \(-0.522045\pi\)
0.898550 0.438870i \(-0.144621\pi\)
\(444\) −11.2987 23.1359i −0.536212 1.09798i
\(445\) −8.38847 14.5293i −0.397652 0.688753i
\(446\) −17.1131 29.6408i −0.810331 1.40353i
\(447\) 0.520045 + 1.06488i 0.0245973 + 0.0503670i
\(448\) −26.6965 + 46.2397i −1.26129 + 2.18462i
\(449\) 23.3933 1.10400 0.551999 0.833845i \(-0.313865\pi\)
0.551999 + 0.833845i \(0.313865\pi\)
\(450\) −2.46358 6.07980i −0.116134 0.286605i
\(451\) −5.42492 −0.255449
\(452\) 2.16509 3.75004i 0.101837 0.176387i
\(453\) 10.5052 15.5917i 0.493578 0.732561i
\(454\) −21.0837 36.5181i −0.989508 1.71388i
\(455\) −2.12668 3.68352i −0.0997004 0.172686i
\(456\) 4.81843 + 0.334480i 0.225644 + 0.0156635i
\(457\) −13.9765 + 24.2081i −0.653795 + 1.13241i 0.328399 + 0.944539i \(0.393491\pi\)
−0.982194 + 0.187867i \(0.939842\pi\)
\(458\) −36.6506 −1.71257
\(459\) 14.7309 + 3.10771i 0.687579 + 0.145056i
\(460\) 2.67061 0.124518
\(461\) 12.4888 21.6312i 0.581661 1.00747i −0.413622 0.910449i \(-0.635736\pi\)
0.995283 0.0970176i \(-0.0309303\pi\)
\(462\) 11.0734 + 0.768682i 0.515182 + 0.0357623i
\(463\) 2.81602 + 4.87749i 0.130872 + 0.226676i 0.924013 0.382361i \(-0.124889\pi\)
−0.793141 + 0.609038i \(0.791556\pi\)
\(464\) 2.88915 + 5.00416i 0.134126 + 0.232312i
\(465\) 1.84572 2.73940i 0.0855934 0.127036i
\(466\) 19.7049 34.1299i 0.912812 1.58104i
\(467\) −13.0634 −0.604502 −0.302251 0.953228i \(-0.597738\pi\)
−0.302251 + 0.953228i \(0.597738\pi\)
\(468\) −5.13065 + 6.58069i −0.237164 + 0.304193i
\(469\) −23.6457 −1.09185
\(470\) 8.93083 15.4686i 0.411948 0.713515i
\(471\) −13.7004 28.0537i −0.631279 1.29265i
\(472\) −2.46270 4.26552i −0.113355 0.196336i
\(473\) 2.60998 + 4.52062i 0.120007 + 0.207858i
\(474\) −20.3683 41.7075i −0.935548 1.91569i
\(475\) −0.815956 + 1.41328i −0.0374386 + 0.0648456i
\(476\) −34.2775 −1.57111
\(477\) 34.4487 + 4.80580i 1.57730 + 0.220042i
\(478\) 40.3538 1.84574
\(479\) 17.9564 31.1013i 0.820447 1.42106i −0.0849029 0.996389i \(-0.527058\pi\)
0.905350 0.424667i \(-0.139609\pi\)
\(480\) −7.17277 + 10.6457i −0.327391 + 0.485908i
\(481\) −2.67221 4.62840i −0.121842 0.211037i
\(482\) −4.03687 6.99206i −0.183874 0.318479i
\(483\) 7.05645 + 0.489836i 0.321080 + 0.0222883i
\(484\) 14.6378 25.3533i 0.665353 1.15242i
\(485\) 13.6693 0.620689
\(486\) −26.0562 + 21.9766i −1.18193 + 0.996881i
\(487\) 12.5269 0.567649 0.283825 0.958876i \(-0.408397\pi\)
0.283825 + 0.958876i \(0.408397\pi\)
\(488\) −4.28359 + 7.41940i −0.193909 + 0.335861i
\(489\) 22.7516 + 1.57934i 1.02886 + 0.0714202i
\(490\) 12.1262 + 21.0033i 0.547807 + 0.948830i
\(491\) 10.6425 + 18.4333i 0.480289 + 0.831885i 0.999744 0.0226124i \(-0.00719835\pi\)
−0.519455 + 0.854498i \(0.673865\pi\)
\(492\) −21.1939 + 31.4556i −0.955494 + 1.41813i
\(493\) −4.58336 + 7.93861i −0.206424 + 0.357537i
\(494\) 3.56843 0.160551
\(495\) 2.04733 + 0.285614i 0.0920206 + 0.0128374i
\(496\) −3.48306 −0.156394
\(497\) −14.5502 + 25.2017i −0.652667 + 1.13045i
\(498\) −23.5242 48.1696i −1.05414 2.15853i
\(499\) −1.45213 2.51516i −0.0650062 0.112594i 0.831691 0.555239i \(-0.187373\pi\)
−0.896697 + 0.442645i \(0.854040\pi\)
\(500\) 1.39073 + 2.40882i 0.0621955 + 0.107726i
\(501\) 0.910776 + 1.86496i 0.0406905 + 0.0833204i
\(502\) 11.5534 20.0112i 0.515656 0.893142i
\(503\) −34.3097 −1.52979 −0.764897 0.644152i \(-0.777210\pi\)
−0.764897 + 0.644152i \(0.777210\pi\)
\(504\) 13.4067 17.1958i 0.597183 0.765961i
\(505\) 14.6023 0.649795
\(506\) −0.723335 + 1.25285i −0.0321562 + 0.0556961i
\(507\) −0.967822 + 1.43643i −0.0429825 + 0.0637939i
\(508\) −8.27998 14.3413i −0.367365 0.636294i
\(509\) 8.42417 + 14.5911i 0.373395 + 0.646739i 0.990085 0.140467i \(-0.0448603\pi\)
−0.616690 + 0.787206i \(0.711527\pi\)
\(510\) −10.9471 0.759914i −0.484747 0.0336496i
\(511\) −26.7950 + 46.4104i −1.18534 + 2.05307i
\(512\) 19.7775 0.874051
\(513\) 8.29704 + 1.75039i 0.366323 + 0.0772816i
\(514\) −44.9820 −1.98407
\(515\) −8.91125 + 15.4347i −0.392676 + 0.680135i
\(516\) 36.4088 + 2.52738i 1.60281 + 0.111262i
\(517\) 2.81425 + 4.87443i 0.123771 + 0.214377i
\(518\) 24.8533 + 43.0471i 1.09199 + 1.89138i
\(519\) −13.8918 + 20.6180i −0.609783 + 0.905031i
\(520\) 0.854401 1.47987i 0.0374680 0.0648964i
\(521\) −12.2903 −0.538449 −0.269225 0.963077i \(-0.586767\pi\)
−0.269225 + 0.963077i \(0.586767\pi\)
\(522\) −7.79432 19.2354i −0.341148 0.841910i
\(523\) 6.75486 0.295369 0.147685 0.989034i \(-0.452818\pi\)
0.147685 + 0.989034i \(0.452818\pi\)
\(524\) −5.40424 + 9.36042i −0.236085 + 0.408912i
\(525\) 3.23286 + 6.61982i 0.141094 + 0.288912i
\(526\) −9.56784 16.5720i −0.417178 0.722573i
\(527\) −2.76276 4.78525i −0.120348 0.208449i
\(528\) −0.956523 1.95864i −0.0416273 0.0852388i
\(529\) 11.0391 19.1202i 0.479959 0.831314i
\(530\) −25.3523 −1.10124
\(531\) −3.24740 8.01416i −0.140925 0.347785i
\(532\) −19.3065 −0.837043
\(533\) −3.93651 + 6.81823i −0.170509 + 0.295330i
\(534\) 35.5049 52.6959i 1.53645 2.28038i
\(535\) 3.50562 + 6.07191i 0.151561 + 0.262511i
\(536\) −4.74986 8.22699i −0.205163 0.355352i
\(537\) −24.8619 1.72584i −1.07287 0.0744753i
\(538\) 15.9400 27.6089i 0.687223 1.19031i
\(539\) −7.64236 −0.329180
\(540\) 9.65453 10.7553i 0.415465 0.462836i
\(541\) 40.4080 1.73728 0.868638 0.495448i \(-0.164996\pi\)
0.868638 + 0.495448i \(0.164996\pi\)
\(542\) 13.6732 23.6827i 0.587314 1.01726i
\(543\) 30.2845 + 2.10225i 1.29963 + 0.0902162i
\(544\) 10.7365 + 18.5962i 0.460325 + 0.797307i
\(545\) −0.649723 1.12535i −0.0278311 0.0482049i
\(546\) 9.00137 13.3597i 0.385223 0.571742i
\(547\) −22.9471 + 39.7456i −0.981148 + 1.69940i −0.323208 + 0.946328i \(0.604761\pi\)
−0.657940 + 0.753070i \(0.728572\pi\)
\(548\) −45.2292 −1.93210
\(549\) −9.24794 + 11.8616i −0.394692 + 0.506242i
\(550\) −1.50672 −0.0642468
\(551\) −2.58154 + 4.47135i −0.109977 + 0.190486i
\(552\) 1.24705 + 2.55353i 0.0530778 + 0.108686i
\(553\) 26.0629 + 45.1423i 1.10831 + 1.91965i
\(554\) −2.31870 4.01611i −0.0985123 0.170628i
\(555\) 4.06213 + 8.31789i 0.172428 + 0.353075i
\(556\) −26.0615 + 45.1399i −1.10525 + 1.91436i
\(557\) 26.7832 1.13484 0.567420 0.823428i \(-0.307942\pi\)
0.567420 + 0.823428i \(0.307942\pi\)
\(558\) 12.3905 + 1.72854i 0.524530 + 0.0731750i
\(559\) 7.57557 0.320413
\(560\) 3.88411 6.72748i 0.164134 0.284288i
\(561\) 1.93219 2.86773i 0.0815771 0.121076i
\(562\) −23.4589 40.6320i −0.989554 1.71396i
\(563\) −2.05791 3.56440i −0.0867305 0.150222i 0.819397 0.573227i \(-0.194309\pi\)
−0.906127 + 0.423005i \(0.860975\pi\)
\(564\) 39.2583 + 2.72519i 1.65307 + 0.114751i
\(565\) −0.778397 + 1.34822i −0.0327474 + 0.0567202i
\(566\) 29.6484 1.24622
\(567\) 27.4825 26.6476i 1.15416 1.11909i
\(568\) −11.6912 −0.490552
\(569\) 14.9788 25.9441i 0.627944 1.08763i −0.360019 0.932945i \(-0.617230\pi\)
0.987964 0.154687i \(-0.0494368\pi\)
\(570\) −6.16587 0.428015i −0.258260 0.0179276i
\(571\) 2.07204 + 3.58888i 0.0867122 + 0.150190i 0.906120 0.423022i \(-0.139031\pi\)
−0.819407 + 0.573212i \(0.805697\pi\)
\(572\) 0.958288 + 1.65980i 0.0400680 + 0.0693999i
\(573\) −13.4311 + 19.9342i −0.561091 + 0.832763i
\(574\) 36.6121 63.4140i 1.52816 2.64685i
\(575\) −0.960145 −0.0400408
\(576\) −37.2982 5.20331i −1.55409 0.216805i
\(577\) 0.0706668 0.00294190 0.00147095 0.999999i \(-0.499532\pi\)
0.00147095 + 0.999999i \(0.499532\pi\)
\(578\) 9.40842 16.2959i 0.391339 0.677818i
\(579\) 2.49549 + 5.10993i 0.103709 + 0.212361i
\(580\) 4.40003 + 7.62107i 0.182701 + 0.316448i
\(581\) 30.1011 + 52.1366i 1.24880 + 2.16299i
\(582\) 22.7185 + 46.5199i 0.941713 + 1.92831i
\(583\) 3.99447 6.91863i 0.165434 0.286540i
\(584\) −21.5300 −0.890917
\(585\) 1.84458 2.36591i 0.0762642 0.0978182i
\(586\) 15.0219 0.620551
\(587\) 7.18330 12.4418i 0.296487 0.513530i −0.678843 0.734284i \(-0.737518\pi\)
0.975330 + 0.220753i \(0.0708516\pi\)
\(588\) −29.8569 + 44.3132i −1.23128 + 1.82744i
\(589\) −1.55610 2.69525i −0.0641181 0.111056i
\(590\) 3.15137 + 5.45834i 0.129740 + 0.224716i
\(591\) −0.771190 0.0535335i −0.0317225 0.00220208i
\(592\) 4.88044 8.45318i 0.200585 0.347423i
\(593\) −15.6563 −0.642928 −0.321464 0.946922i \(-0.604175\pi\)
−0.321464 + 0.946922i \(0.604175\pi\)
\(594\) 2.43067 + 7.44227i 0.0997318 + 0.305360i
\(595\) 12.3235 0.505216
\(596\) 0.951548 1.64813i 0.0389769 0.0675100i
\(597\) 34.8945 + 2.42226i 1.42813 + 0.0991366i
\(598\) 1.04975 + 1.81823i 0.0429276 + 0.0743528i
\(599\) 9.28176 + 16.0765i 0.379243 + 0.656867i 0.990952 0.134215i \(-0.0428513\pi\)
−0.611710 + 0.791082i \(0.709518\pi\)
\(600\) −1.65382 + 2.45457i −0.0675167 + 0.100207i
\(601\) 1.91582 3.31829i 0.0781478 0.135356i −0.824303 0.566149i \(-0.808433\pi\)
0.902451 + 0.430793i \(0.141766\pi\)
\(602\) −70.4578 −2.87164
\(603\) −6.26332 15.4571i −0.255062 0.629461i
\(604\) −30.1914 −1.22847
\(605\) −5.26260 + 9.11510i −0.213955 + 0.370581i
\(606\) 24.2693 + 49.6954i 0.985872 + 2.01874i
\(607\) −12.7813 22.1379i −0.518777 0.898549i −0.999762 0.0218196i \(-0.993054\pi\)
0.480985 0.876729i \(-0.340279\pi\)
\(608\) 6.04726 + 10.4742i 0.245249 + 0.424783i
\(609\) 10.2282 + 20.9439i 0.414467 + 0.848689i
\(610\) 5.48147 9.49419i 0.221938 0.384408i
\(611\) 8.16848 0.330461
\(612\) −9.07952 22.4071i −0.367018 0.905753i
\(613\) −18.9425 −0.765080 −0.382540 0.923939i \(-0.624951\pi\)
−0.382540 + 0.923939i \(0.624951\pi\)
\(614\) −27.4009 + 47.4598i −1.10581 + 1.91532i
\(615\) 7.61967 11.3090i 0.307255 0.456023i
\(616\) −2.50407 4.33718i −0.100892 0.174750i
\(617\) −6.52475 11.3012i −0.262677 0.454969i 0.704276 0.709927i \(-0.251272\pi\)
−0.966952 + 0.254957i \(0.917939\pi\)
\(618\) −67.3389 4.67445i −2.70877 0.188034i
\(619\) −2.83676 + 4.91341i −0.114019 + 0.197487i −0.917387 0.397996i \(-0.869706\pi\)
0.803368 + 0.595483i \(0.203039\pi\)
\(620\) −5.30451 −0.213034
\(621\) 1.54893 + 4.74252i 0.0621563 + 0.190311i
\(622\) 43.9685 1.76298
\(623\) −35.6792 + 61.7983i −1.42946 + 2.47590i
\(624\) −3.15578 0.219064i −0.126332 0.00876957i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 27.5258 + 47.6761i 1.10015 + 1.90552i
\(627\) 1.08829 1.61522i 0.0434621 0.0645058i
\(628\) −25.0681 + 43.4192i −1.00033 + 1.73262i
\(629\) 15.4847 0.617415
\(630\) −17.1558 + 22.0045i −0.683505 + 0.876679i
\(631\) −3.54731 −0.141216 −0.0706080 0.997504i \(-0.522494\pi\)
−0.0706080 + 0.997504i \(0.522494\pi\)
\(632\) −10.4709 + 18.1361i −0.416508 + 0.721414i
\(633\) −11.5866 23.7254i −0.460524 0.942999i
\(634\) 1.24163 + 2.15056i 0.0493113 + 0.0854098i
\(635\) 2.97684 + 5.15603i 0.118132 + 0.204611i
\(636\) −24.5113 50.1909i −0.971935 1.99020i
\(637\) −5.54556 + 9.60519i −0.219723 + 0.380571i
\(638\) −4.76699 −0.188727
\(639\) −20.3284 2.83593i −0.804179 0.112188i
\(640\) 12.6269 0.499121
\(641\) 9.80157 16.9768i 0.387139 0.670544i −0.604925 0.796283i \(-0.706797\pi\)
0.992063 + 0.125739i \(0.0401301\pi\)
\(642\) −14.8378 + 22.0221i −0.585603 + 0.869143i
\(643\) −1.25121 2.16715i −0.0493428 0.0854642i 0.840299 0.542123i \(-0.182379\pi\)
−0.889642 + 0.456659i \(0.849046\pi\)
\(644\) −5.67955 9.83726i −0.223805 0.387642i
\(645\) −13.0898 0.908650i −0.515409 0.0357781i
\(646\) −5.16952 + 8.95387i −0.203392 + 0.352285i
\(647\) −14.2685 −0.560951 −0.280475 0.959861i \(-0.590492\pi\)
−0.280475 + 0.959861i \(0.590492\pi\)
\(648\) 14.7920 + 4.20906i 0.581086 + 0.165348i
\(649\) −1.98610 −0.0779612
\(650\) −1.09333 + 1.89370i −0.0428839 + 0.0742770i
\(651\) −14.0159 0.972938i −0.549326 0.0381325i
\(652\) −18.3121 31.7175i −0.717158 1.24215i
\(653\) 4.50803 + 7.80813i 0.176413 + 0.305556i 0.940649 0.339380i \(-0.110217\pi\)
−0.764237 + 0.644936i \(0.776884\pi\)
\(654\) 2.75001 4.08153i 0.107534 0.159600i
\(655\) 1.94294 3.36528i 0.0759171 0.131492i
\(656\) −14.3791 −0.561408
\(657\) −37.4358 5.22252i −1.46051 0.203750i
\(658\) −75.9721 −2.96170
\(659\) 25.2282 43.6965i 0.982751 1.70218i 0.331220 0.943554i \(-0.392540\pi\)
0.651531 0.758622i \(-0.274127\pi\)
\(660\) −1.45673 2.98290i −0.0567033 0.116109i
\(661\) 3.27473 + 5.67200i 0.127372 + 0.220615i 0.922658 0.385620i \(-0.126012\pi\)
−0.795285 + 0.606235i \(0.792679\pi\)
\(662\) −8.18998 14.1855i −0.318313 0.551334i
\(663\) −2.20220 4.50937i −0.0855264 0.175129i
\(664\) −12.0932 + 20.9460i −0.469307 + 0.812864i
\(665\) 6.94112 0.269165
\(666\) −21.5565 + 27.6489i −0.835299 + 1.07137i
\(667\) −3.03772 −0.117621
\(668\) 1.66648 2.88644i 0.0644782 0.111680i
\(669\) −15.1487 + 22.4834i −0.585682 + 0.869260i
\(670\) 6.07812 + 10.5276i 0.234818 + 0.406717i
\(671\) 1.72730 + 2.99178i 0.0666818 + 0.115496i
\(672\) 54.4680 + 3.78099i 2.10115 + 0.145855i
\(673\) 17.9173 31.0336i 0.690660 1.19626i −0.280961 0.959719i \(-0.590653\pi\)
0.971622 0.236540i \(-0.0760134\pi\)
\(674\) −14.7890 −0.569651
\(675\) −3.47102 + 3.86678i −0.133600 + 0.148833i
\(676\) 2.78147 0.106980
\(677\) 7.79008 13.4928i 0.299397 0.518571i −0.676601 0.736350i \(-0.736548\pi\)
0.975998 + 0.217779i \(0.0698811\pi\)
\(678\) −5.88205 0.408313i −0.225899 0.0156812i
\(679\) −29.0702 50.3511i −1.11561 1.93230i
\(680\) 2.47551 + 4.28771i 0.0949314 + 0.164426i
\(681\) −18.6635 + 27.7000i −0.715185 + 1.06147i
\(682\) 1.43673 2.48848i 0.0550151 0.0952889i
\(683\) −40.4896 −1.54929 −0.774645 0.632396i \(-0.782071\pi\)
−0.774645 + 0.632396i \(0.782071\pi\)
\(684\) −5.11396 12.6206i −0.195537 0.482560i
\(685\) 16.2609 0.621298
\(686\) 19.0250 32.9523i 0.726379 1.25813i
\(687\) 12.7396 + 26.0863i 0.486044 + 0.995256i
\(688\) 6.91791 + 11.9822i 0.263743 + 0.456816i
\(689\) −5.79706 10.0408i −0.220850 0.382524i
\(690\) −1.59578 3.26761i −0.0607501 0.124396i
\(691\) −8.56765 + 14.8396i −0.325929 + 0.564525i −0.981700 0.190434i \(-0.939010\pi\)
0.655771 + 0.754960i \(0.272344\pi\)
\(692\) 39.9243 1.51770
\(693\) −3.30195 8.14879i −0.125431 0.309547i
\(694\) 79.1682 3.00518
\(695\) 9.36970 16.2288i 0.355413 0.615593i
\(696\) −5.23237 + 7.76581i −0.198332 + 0.294362i
\(697\) −11.4055 19.7549i −0.432014 0.748269i
\(698\) 5.51625 + 9.55443i 0.208793 + 0.361641i
\(699\) −31.1416 2.16175i −1.17788 0.0817648i
\(700\) 5.91530 10.2456i 0.223577 0.387247i
\(701\) 12.0524 0.455212 0.227606 0.973753i \(-0.426910\pi\)
0.227606 + 0.973753i \(0.426910\pi\)
\(702\) 11.1175 + 2.34541i 0.419603 + 0.0885218i
\(703\) 8.72161 0.328942
\(704\) −4.32488 + 7.49091i −0.163000 + 0.282324i
\(705\) −14.1143 0.979766i −0.531573 0.0369001i
\(706\) −15.9401 27.6090i −0.599913 1.03908i
\(707\) −31.0545 53.7880i −1.16793 2.02291i
\(708\) −7.75923 + 11.5161i −0.291610 + 0.432803i
\(709\) −13.7320 + 23.7845i −0.515715 + 0.893245i 0.484118 + 0.875003i \(0.339140\pi\)
−0.999834 + 0.0182427i \(0.994193\pi\)
\(710\) 14.9606 0.561460
\(711\) −22.6057 + 28.9947i −0.847782 + 1.08738i
\(712\) −28.6685 −1.07440
\(713\) 0.915542 1.58576i 0.0342873 0.0593873i
\(714\) 20.4819 + 41.9401i 0.766516 + 1.56957i
\(715\) −0.344526 0.596736i −0.0128845 0.0223167i
\(716\) 20.0107 + 34.6595i 0.747835 + 1.29529i
\(717\) −14.0268 28.7221i −0.523839 1.07265i
\(718\) 29.8852 51.7627i 1.11531 1.93177i
\(719\) 32.5517 1.21397 0.606987 0.794711i \(-0.292378\pi\)
0.606987 + 0.794711i \(0.292378\pi\)
\(720\) 5.42657 + 0.757037i 0.202236 + 0.0282131i
\(721\) 75.8056 2.82315
\(722\) 17.8616 30.9371i 0.664738 1.15136i
\(723\) −3.57346 + 5.30368i −0.132898 + 0.197246i
\(724\) −24.3751 42.2190i −0.905895 1.56906i
\(725\) −1.58191 2.73995i −0.0587506 0.101759i
\(726\) −39.7675 2.76053i −1.47591 0.102453i
\(727\) −14.1082 + 24.4360i −0.523243 + 0.906283i 0.476392 + 0.879233i \(0.341944\pi\)
−0.999634 + 0.0270494i \(0.991389\pi\)
\(728\) −7.26816 −0.269376
\(729\) 24.6991 + 10.9067i 0.914780 + 0.403953i
\(730\) 27.5507 1.01970
\(731\) −10.9746 + 19.0085i −0.405910 + 0.703056i
\(732\) 24.0956 + 1.67264i 0.890598 + 0.0618225i
\(733\) −10.9287 18.9290i −0.403660 0.699160i 0.590504 0.807034i \(-0.298929\pi\)
−0.994165 + 0.107875i \(0.965596\pi\)
\(734\) −39.6313 68.6434i −1.46282 2.53367i
\(735\) 10.7342 15.9316i 0.395938 0.587645i
\(736\) −3.55794 + 6.16253i −0.131147 + 0.227154i
\(737\) −3.83063 −0.141103
\(738\) 51.1514 + 7.13592i 1.88291 + 0.262677i
\(739\) −1.75791 −0.0646657 −0.0323329 0.999477i \(-0.510294\pi\)
−0.0323329 + 0.999477i \(0.510294\pi\)
\(740\) 7.43266 12.8737i 0.273230 0.473248i
\(741\) −1.24037 2.53986i −0.0455661 0.0933041i
\(742\) 53.9164 + 93.3859i 1.97933 + 3.42831i
\(743\) 4.98732 + 8.63829i 0.182967 + 0.316908i 0.942890 0.333105i \(-0.108097\pi\)
−0.759923 + 0.650014i \(0.774763\pi\)
\(744\) −2.47695 5.07197i −0.0908094 0.185947i
\(745\) −0.342103 + 0.592539i −0.0125337 + 0.0217090i
\(746\) 14.4315 0.528373
\(747\) −26.1082 + 33.4870i −0.955251 + 1.22523i
\(748\) −5.55301 −0.203038
\(749\) 14.9107 25.8260i 0.544824 0.943663i
\(750\) 2.11629 3.14097i 0.0772761 0.114692i
\(751\) −0.798870 1.38368i −0.0291512 0.0504913i 0.851082 0.525033i \(-0.175947\pi\)
−0.880233 + 0.474542i \(0.842614\pi\)
\(752\) 7.45934 + 12.9200i 0.272014 + 0.471142i
\(753\) −18.2590 1.26748i −0.665396 0.0461897i
\(754\) −3.45909 + 5.99132i −0.125973 + 0.218191i
\(755\) 10.8545 0.395036
\(756\) −60.1496 12.6895i −2.18762 0.461513i
\(757\) 10.4955 0.381467 0.190733 0.981642i \(-0.438913\pi\)
0.190733 + 0.981642i \(0.438913\pi\)
\(758\) 36.1130 62.5496i 1.31168 2.27190i
\(759\) 1.14316 + 0.0793542i 0.0414939 + 0.00288038i
\(760\) 1.39431 + 2.41501i 0.0505769 + 0.0876017i
\(761\) −15.1730 26.2804i −0.550020 0.952662i −0.998272 0.0587552i \(-0.981287\pi\)
0.448253 0.893907i \(-0.352046\pi\)
\(762\) −12.5997 + 18.7003i −0.456440 + 0.677441i
\(763\) −2.76351 + 4.78654i −0.100046 + 0.173284i
\(764\) 38.6002 1.39650
\(765\) 3.26429 + 8.05585i 0.118021 + 0.291260i
\(766\) −25.0526 −0.905189
\(767\) −1.44118 + 2.49620i −0.0520381 + 0.0901326i
\(768\) 1.90350 + 3.89774i 0.0686867 + 0.140647i
\(769\) 22.5420 + 39.0439i 0.812885 + 1.40796i 0.910836 + 0.412768i \(0.135438\pi\)
−0.0979509 + 0.995191i \(0.531229\pi\)
\(770\) 3.20432 + 5.55004i 0.115476 + 0.200009i
\(771\) 15.6355 + 32.0163i 0.563100 + 1.15304i
\(772\) 4.56610 7.90872i 0.164338 0.284641i
\(773\) −0.573929 −0.0206428 −0.0103214 0.999947i \(-0.503285\pi\)
−0.0103214 + 0.999947i \(0.503285\pi\)
\(774\) −18.6630 46.0580i −0.670829 1.65552i
\(775\) 1.90709 0.0685047