Properties

Label 91.2.k.b.4.4
Level $91$
Weight $2$
Character 91.4
Analytic conductor $0.727$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.k (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(\zeta_{6})\)
Coefficient field: 12.0.2346760387617129.1
Defining polynomial: \(x^{12} - 3 x^{11} + x^{10} + 10 x^{9} - 15 x^{8} - 10 x^{7} + 45 x^{6} - 20 x^{5} - 60 x^{4} + 80 x^{3} + 16 x^{2} - 96 x + 64\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 4.4
Root \(-1.18541 + 0.771231i\) of defining polynomial
Character \(\chi\) \(=\) 91.4
Dual form 91.2.k.b.23.3

$q$-expansion

\(f(q)\) \(=\) \(q+0.499987i q^{2} +(-0.424801 - 0.735776i) q^{3} +1.75001 q^{4} +(-0.902810 + 0.521238i) q^{5} +(0.367878 - 0.212395i) q^{6} +(2.63491 - 0.239300i) q^{7} +1.87496i q^{8} +(1.13909 - 1.97296i) q^{9} +O(q^{10})\) \(q+0.499987i q^{2} +(-0.424801 - 0.735776i) q^{3} +1.75001 q^{4} +(-0.902810 + 0.521238i) q^{5} +(0.367878 - 0.212395i) q^{6} +(2.63491 - 0.239300i) q^{7} +1.87496i q^{8} +(1.13909 - 1.97296i) q^{9} +(-0.260612 - 0.451393i) q^{10} +(-3.43579 + 1.98365i) q^{11} +(-0.743407 - 1.28762i) q^{12} +(-3.57504 + 0.468096i) q^{13} +(0.119647 + 1.31742i) q^{14} +(0.767029 + 0.442844i) q^{15} +2.56257 q^{16} +0.142035 q^{17} +(0.986453 + 0.569529i) q^{18} +(-4.77160 - 2.75488i) q^{19} +(-1.57993 + 0.912173i) q^{20} +(-1.29538 - 1.83705i) q^{21} +(-0.991800 - 1.71785i) q^{22} -4.39098 q^{23} +(1.37955 - 0.796483i) q^{24} +(-1.95662 + 3.38897i) q^{25} +(-0.234042 - 1.78747i) q^{26} -4.48435 q^{27} +(4.61112 - 0.418779i) q^{28} +(4.19880 - 7.27253i) q^{29} +(-0.221416 + 0.383504i) q^{30} +(2.46516 + 1.42326i) q^{31} +5.03117i q^{32} +(2.91905 + 1.68531i) q^{33} +0.0710158i q^{34} +(-2.25409 + 1.58946i) q^{35} +(1.99342 - 3.45271i) q^{36} -0.843187i q^{37} +(1.37740 - 2.38574i) q^{38} +(1.86309 + 2.43158i) q^{39} +(-0.977298 - 1.69273i) q^{40} +(10.4766 + 6.04869i) q^{41} +(0.918499 - 0.647674i) q^{42} +(2.41161 + 4.17704i) q^{43} +(-6.01267 + 3.47142i) q^{44} +2.37494i q^{45} -2.19543i q^{46} +(-3.94602 + 2.27824i) q^{47} +(-1.08858 - 1.88548i) q^{48} +(6.88547 - 1.26107i) q^{49} +(-1.69444 - 0.978285i) q^{50} +(-0.0603367 - 0.104506i) q^{51} +(-6.25636 + 0.819175i) q^{52} +(0.139800 - 0.242141i) q^{53} -2.24211i q^{54} +(2.06791 - 3.58172i) q^{55} +(0.448678 + 4.94034i) q^{56} +4.68111i q^{57} +(3.63617 + 2.09934i) q^{58} -10.7815i q^{59} +(1.34231 + 0.774983i) q^{60} +(2.93177 - 5.07797i) q^{61} +(-0.711612 + 1.23255i) q^{62} +(2.52926 - 5.47115i) q^{63} +2.60963 q^{64} +(2.98359 - 2.28605i) q^{65} +(-0.842634 + 1.45949i) q^{66} +(-4.45524 + 2.57223i) q^{67} +0.248564 q^{68} +(1.86529 + 3.23078i) q^{69} +(-0.794706 - 1.12701i) q^{70} +(-3.20326 + 1.84940i) q^{71} +(3.69921 + 2.13574i) q^{72} +(5.72686 + 3.30640i) q^{73} +0.421582 q^{74} +3.32470 q^{75} +(-8.35036 - 4.82108i) q^{76} +(-8.57829 + 6.04892i) q^{77} +(-1.21576 + 0.931521i) q^{78} +(-5.96135 - 10.3254i) q^{79} +(-2.31352 + 1.33571i) q^{80} +(-1.51231 - 2.61940i) q^{81} +(-3.02426 + 5.23818i) q^{82} -2.87321i q^{83} +(-2.26694 - 3.21486i) q^{84} +(-0.128231 + 0.0740342i) q^{85} +(-2.08846 + 1.20578i) q^{86} -7.13461 q^{87} +(-3.71926 - 6.44195i) q^{88} +1.74765i q^{89} -1.18744 q^{90} +(-9.30787 + 2.08890i) q^{91} -7.68427 q^{92} -2.41841i q^{93} +(-1.13909 - 1.97296i) q^{94} +5.74379 q^{95} +(3.70181 - 2.13724i) q^{96} +(2.34079 - 1.35145i) q^{97} +(0.630517 + 3.44264i) q^{98} +9.03822i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 3q^{3} - 8q^{4} - 3q^{5} - 9q^{6} - 3q^{7} - q^{9} + O(q^{10}) \) \( 12q - 3q^{3} - 8q^{4} - 3q^{5} - 9q^{6} - 3q^{7} - q^{9} + 12q^{10} + 12q^{11} - q^{12} - 2q^{13} + 4q^{14} - 12q^{15} + 16q^{16} - 34q^{17} + 3q^{18} + 9q^{19} - 3q^{20} + 21q^{21} - 15q^{22} - 6q^{23} + 15q^{24} - 5q^{25} - 6q^{26} + 12q^{27} - 9q^{28} - q^{29} + 11q^{30} + 18q^{31} - 6q^{33} - 6q^{35} - 13q^{36} + 19q^{38} - 4q^{39} - q^{40} - 6q^{41} - 8q^{42} + 11q^{43} - 33q^{44} - 15q^{47} + 19q^{48} - 3q^{49} + 18q^{50} + 4q^{51} - 7q^{52} - 8q^{53} - 15q^{55} + 27q^{56} - 24q^{58} - 30q^{60} + 5q^{61} + 41q^{62} - 30q^{63} + 2q^{64} + 21q^{65} - 34q^{66} + 15q^{67} + 22q^{68} + 7q^{69} + 3q^{70} + 30q^{71} + 57q^{72} + 42q^{73} + 66q^{74} - 2q^{75} - 45q^{76} - 19q^{77} + 44q^{78} - 35q^{79} - 63q^{80} + 14q^{81} + 5q^{82} - 12q^{84} - 21q^{85} - 57q^{86} - 20q^{87} - 14q^{88} - 7q^{91} - 66q^{92} + q^{94} - 4q^{95} + 21q^{96} - 3q^{97} - 18q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.499987i 0.353544i 0.984252 + 0.176772i \(0.0565655\pi\)
−0.984252 + 0.176772i \(0.943434\pi\)
\(3\) −0.424801 0.735776i −0.245259 0.424801i 0.716946 0.697129i \(-0.245540\pi\)
−0.962204 + 0.272328i \(0.912206\pi\)
\(4\) 1.75001 0.875007
\(5\) −0.902810 + 0.521238i −0.403749 + 0.233105i −0.688100 0.725616i \(-0.741555\pi\)
0.284351 + 0.958720i \(0.408222\pi\)
\(6\) 0.367878 0.212395i 0.150186 0.0867098i
\(7\) 2.63491 0.239300i 0.995901 0.0904471i
\(8\) 1.87496i 0.662897i
\(9\) 1.13909 1.97296i 0.379696 0.657653i
\(10\) −0.260612 0.451393i −0.0824127 0.142743i
\(11\) −3.43579 + 1.98365i −1.03593 + 0.598094i −0.918677 0.395009i \(-0.870742\pi\)
−0.117251 + 0.993102i \(0.537408\pi\)
\(12\) −0.743407 1.28762i −0.214603 0.371703i
\(13\) −3.57504 + 0.468096i −0.991537 + 0.129827i
\(14\) 0.119647 + 1.31742i 0.0319770 + 0.352095i
\(15\) 0.767029 + 0.442844i 0.198046 + 0.114342i
\(16\) 2.56257 0.640643
\(17\) 0.142035 0.0344486 0.0172243 0.999852i \(-0.494517\pi\)
0.0172243 + 0.999852i \(0.494517\pi\)
\(18\) 0.986453 + 0.569529i 0.232509 + 0.134239i
\(19\) −4.77160 2.75488i −1.09468 0.632014i −0.159861 0.987140i \(-0.551105\pi\)
−0.934818 + 0.355126i \(0.884438\pi\)
\(20\) −1.57993 + 0.912173i −0.353283 + 0.203968i
\(21\) −1.29538 1.83705i −0.282676 0.400877i
\(22\) −0.991800 1.71785i −0.211452 0.366246i
\(23\) −4.39098 −0.915582 −0.457791 0.889060i \(-0.651359\pi\)
−0.457791 + 0.889060i \(0.651359\pi\)
\(24\) 1.37955 0.796483i 0.281599 0.162581i
\(25\) −1.95662 + 3.38897i −0.391325 + 0.677794i
\(26\) −0.234042 1.78747i −0.0458994 0.350552i
\(27\) −4.48435 −0.863013
\(28\) 4.61112 0.418779i 0.871420 0.0791418i
\(29\) 4.19880 7.27253i 0.779697 1.35047i −0.152419 0.988316i \(-0.548706\pi\)
0.932116 0.362159i \(-0.117960\pi\)
\(30\) −0.221416 + 0.383504i −0.0404249 + 0.0700179i
\(31\) 2.46516 + 1.42326i 0.442756 + 0.255625i 0.704766 0.709440i \(-0.251052\pi\)
−0.262010 + 0.965065i \(0.584385\pi\)
\(32\) 5.03117i 0.889393i
\(33\) 2.91905 + 1.68531i 0.508141 + 0.293376i
\(34\) 0.0710158i 0.0121791i
\(35\) −2.25409 + 1.58946i −0.381010 + 0.268667i
\(36\) 1.99342 3.45271i 0.332237 0.575451i
\(37\) 0.843187i 0.138619i −0.997595 0.0693095i \(-0.977920\pi\)
0.997595 0.0693095i \(-0.0220796\pi\)
\(38\) 1.37740 2.38574i 0.223445 0.387017i
\(39\) 1.86309 + 2.43158i 0.298334 + 0.389364i
\(40\) −0.977298 1.69273i −0.154524 0.267644i
\(41\) 10.4766 + 6.04869i 1.63618 + 0.944647i 0.982133 + 0.188190i \(0.0602621\pi\)
0.654044 + 0.756457i \(0.273071\pi\)
\(42\) 0.918499 0.647674i 0.141728 0.0999382i
\(43\) 2.41161 + 4.17704i 0.367768 + 0.636993i 0.989216 0.146463i \(-0.0467888\pi\)
−0.621448 + 0.783455i \(0.713455\pi\)
\(44\) −6.01267 + 3.47142i −0.906444 + 0.523336i
\(45\) 2.37494i 0.354036i
\(46\) 2.19543i 0.323699i
\(47\) −3.94602 + 2.27824i −0.575587 + 0.332315i −0.759378 0.650650i \(-0.774496\pi\)
0.183791 + 0.982965i \(0.441163\pi\)
\(48\) −1.08858 1.88548i −0.157123 0.272146i
\(49\) 6.88547 1.26107i 0.983639 0.180153i
\(50\) −1.69444 0.978285i −0.239630 0.138350i
\(51\) −0.0603367 0.104506i −0.00844883 0.0146338i
\(52\) −6.25636 + 0.819175i −0.867601 + 0.113599i
\(53\) 0.139800 0.242141i 0.0192030 0.0332606i −0.856264 0.516538i \(-0.827220\pi\)
0.875467 + 0.483278i \(0.160554\pi\)
\(54\) 2.24211i 0.305113i
\(55\) 2.06791 3.58172i 0.278837 0.482959i
\(56\) 0.448678 + 4.94034i 0.0599571 + 0.660180i
\(57\) 4.68111i 0.620028i
\(58\) 3.63617 + 2.09934i 0.477452 + 0.275657i
\(59\) 10.7815i 1.40363i −0.712359 0.701815i \(-0.752373\pi\)
0.712359 0.701815i \(-0.247627\pi\)
\(60\) 1.34231 + 0.774983i 0.173292 + 0.100050i
\(61\) 2.93177 5.07797i 0.375374 0.650168i −0.615009 0.788520i \(-0.710847\pi\)
0.990383 + 0.138353i \(0.0441808\pi\)
\(62\) −0.711612 + 1.23255i −0.0903748 + 0.156534i
\(63\) 2.52926 5.47115i 0.318657 0.689300i
\(64\) 2.60963 0.326204
\(65\) 2.98359 2.28605i 0.370069 0.283549i
\(66\) −0.842634 + 1.45949i −0.103721 + 0.179650i
\(67\) −4.45524 + 2.57223i −0.544294 + 0.314248i −0.746818 0.665029i \(-0.768419\pi\)
0.202523 + 0.979277i \(0.435086\pi\)
\(68\) 0.248564 0.0301428
\(69\) 1.86529 + 3.23078i 0.224555 + 0.388940i
\(70\) −0.794706 1.12701i −0.0949856 0.134704i
\(71\) −3.20326 + 1.84940i −0.380157 + 0.219484i −0.677887 0.735167i \(-0.737104\pi\)
0.297730 + 0.954650i \(0.403771\pi\)
\(72\) 3.69921 + 2.13574i 0.435956 + 0.251700i
\(73\) 5.72686 + 3.30640i 0.670278 + 0.386985i 0.796182 0.605057i \(-0.206850\pi\)
−0.125904 + 0.992042i \(0.540183\pi\)
\(74\) 0.421582 0.0490079
\(75\) 3.32470 0.383903
\(76\) −8.35036 4.82108i −0.957852 0.553016i
\(77\) −8.57829 + 6.04892i −0.977587 + 0.689339i
\(78\) −1.21576 + 0.931521i −0.137657 + 0.105474i
\(79\) −5.96135 10.3254i −0.670705 1.16169i −0.977705 0.209985i \(-0.932658\pi\)
0.307000 0.951710i \(-0.400675\pi\)
\(80\) −2.31352 + 1.33571i −0.258659 + 0.149337i
\(81\) −1.51231 2.61940i −0.168035 0.291045i
\(82\) −3.02426 + 5.23818i −0.333974 + 0.578460i
\(83\) 2.87321i 0.315376i −0.987489 0.157688i \(-0.949596\pi\)
0.987489 0.157688i \(-0.0504040\pi\)
\(84\) −2.26694 3.21486i −0.247343 0.350770i
\(85\) −0.128231 + 0.0740342i −0.0139086 + 0.00803013i
\(86\) −2.08846 + 1.20578i −0.225205 + 0.130022i
\(87\) −7.13461 −0.764910
\(88\) −3.71926 6.44195i −0.396475 0.686714i
\(89\) 1.74765i 0.185250i 0.995701 + 0.0926252i \(0.0295258\pi\)
−0.995701 + 0.0926252i \(0.970474\pi\)
\(90\) −1.18744 −0.125167
\(91\) −9.30787 + 2.08890i −0.975730 + 0.218976i
\(92\) −7.68427 −0.801141
\(93\) 2.41841i 0.250777i
\(94\) −1.13909 1.97296i −0.117488 0.203495i
\(95\) 5.74379 0.589301
\(96\) 3.70181 2.13724i 0.377815 0.218131i
\(97\) 2.34079 1.35145i 0.237671 0.137219i −0.376435 0.926443i \(-0.622850\pi\)
0.614106 + 0.789224i \(0.289517\pi\)
\(98\) 0.630517 + 3.44264i 0.0636919 + 0.347759i
\(99\) 9.03822i 0.908376i
\(100\) −3.42412 + 5.93074i −0.342412 + 0.593074i
\(101\) 5.73612 + 9.93524i 0.570765 + 0.988594i 0.996488 + 0.0837401i \(0.0266866\pi\)
−0.425723 + 0.904854i \(0.639980\pi\)
\(102\) 0.0522517 0.0301676i 0.00517369 0.00298703i
\(103\) 2.08475 + 3.61090i 0.205417 + 0.355792i 0.950265 0.311441i \(-0.100812\pi\)
−0.744849 + 0.667233i \(0.767478\pi\)
\(104\) −0.877660 6.70304i −0.0860617 0.657287i
\(105\) 2.12702 + 0.983303i 0.207576 + 0.0959606i
\(106\) 0.121067 + 0.0698982i 0.0117591 + 0.00678911i
\(107\) 8.48742 0.820510 0.410255 0.911971i \(-0.365440\pi\)
0.410255 + 0.911971i \(0.365440\pi\)
\(108\) −7.84767 −0.755142
\(109\) 5.56886 + 3.21518i 0.533400 + 0.307958i 0.742400 0.669957i \(-0.233688\pi\)
−0.209000 + 0.977916i \(0.567021\pi\)
\(110\) 1.79081 + 1.03393i 0.170747 + 0.0985810i
\(111\) −0.620397 + 0.358186i −0.0588855 + 0.0339975i
\(112\) 6.75214 0.613225i 0.638018 0.0579443i
\(113\) −5.48164 9.49448i −0.515670 0.893166i −0.999835 0.0181892i \(-0.994210\pi\)
0.484165 0.874977i \(-0.339123\pi\)
\(114\) −2.34049 −0.219207
\(115\) 3.96422 2.28874i 0.369665 0.213426i
\(116\) 7.34795 12.7270i 0.682240 1.18167i
\(117\) −3.14875 + 7.58661i −0.291102 + 0.701382i
\(118\) 5.39060 0.496245
\(119\) 0.374250 0.0339891i 0.0343074 0.00311578i
\(120\) −0.830314 + 1.43815i −0.0757969 + 0.131284i
\(121\) 2.36975 4.10453i 0.215432 0.373139i
\(122\) 2.53892 + 1.46584i 0.229863 + 0.132711i
\(123\) 10.2780i 0.926732i
\(124\) 4.31406 + 2.49073i 0.387414 + 0.223674i
\(125\) 9.29184i 0.831087i
\(126\) 2.73550 + 1.26460i 0.243698 + 0.112659i
\(127\) −1.00394 + 1.73887i −0.0890849 + 0.154300i −0.907125 0.420862i \(-0.861728\pi\)
0.818040 + 0.575162i \(0.195061\pi\)
\(128\) 11.3671i 1.00472i
\(129\) 2.04891 3.54882i 0.180397 0.312456i
\(130\) 1.14299 + 1.49175i 0.100247 + 0.130836i
\(131\) 6.22511 + 10.7822i 0.543890 + 0.942046i 0.998676 + 0.0514449i \(0.0163826\pi\)
−0.454785 + 0.890601i \(0.650284\pi\)
\(132\) 5.10838 + 2.94932i 0.444627 + 0.256706i
\(133\) −13.2320 6.11702i −1.14736 0.530413i
\(134\) −1.28608 2.22756i −0.111101 0.192432i
\(135\) 4.04851 2.33741i 0.348441 0.201172i
\(136\) 0.266310i 0.0228359i
\(137\) 5.24518i 0.448126i −0.974575 0.224063i \(-0.928068\pi\)
0.974575 0.224063i \(-0.0719321\pi\)
\(138\) −1.61535 + 0.932620i −0.137507 + 0.0793899i
\(139\) 10.3693 + 17.9601i 0.879510 + 1.52336i 0.851880 + 0.523737i \(0.175463\pi\)
0.0276301 + 0.999618i \(0.491204\pi\)
\(140\) −3.94468 + 2.78157i −0.333387 + 0.235085i
\(141\) 3.35255 + 1.93559i 0.282335 + 0.163006i
\(142\) −0.924676 1.60159i −0.0775971 0.134402i
\(143\) 11.3545 8.69991i 0.949513 0.727523i
\(144\) 2.91900 5.05585i 0.243250 0.421321i
\(145\) 8.75428i 0.727004i
\(146\) −1.65316 + 2.86335i −0.136816 + 0.236973i
\(147\) −3.85282 4.53046i −0.317775 0.373666i
\(148\) 1.47559i 0.121293i
\(149\) 0.00985188 + 0.00568799i 0.000807098 + 0.000465978i 0.500403 0.865792i \(-0.333185\pi\)
−0.499596 + 0.866258i \(0.666518\pi\)
\(150\) 1.66231i 0.135727i
\(151\) −16.3726 9.45271i −1.33238 0.769251i −0.346717 0.937970i \(-0.612704\pi\)
−0.985664 + 0.168719i \(0.946037\pi\)
\(152\) 5.16529 8.94654i 0.418960 0.725660i
\(153\) 0.161791 0.280230i 0.0130800 0.0226553i
\(154\) −3.02438 4.28903i −0.243712 0.345620i
\(155\) −2.96743 −0.238350
\(156\) 3.26044 + 4.25530i 0.261044 + 0.340696i
\(157\) −9.89687 + 17.1419i −0.789856 + 1.36807i 0.136198 + 0.990682i \(0.456512\pi\)
−0.926054 + 0.377390i \(0.876822\pi\)
\(158\) 5.16255 2.98060i 0.410710 0.237124i
\(159\) −0.237549 −0.0188388
\(160\) −2.62243 4.54219i −0.207321 0.359091i
\(161\) −11.5698 + 1.05076i −0.911830 + 0.0828117i
\(162\) 1.30967 0.756136i 0.102897 0.0594076i
\(163\) 7.73581 + 4.46627i 0.605915 + 0.349825i 0.771365 0.636393i \(-0.219574\pi\)
−0.165450 + 0.986218i \(0.552908\pi\)
\(164\) 18.3343 + 10.5853i 1.43167 + 0.826572i
\(165\) −3.51380 −0.273549
\(166\) 1.43657 0.111499
\(167\) 5.31279 + 3.06734i 0.411116 + 0.237358i 0.691269 0.722597i \(-0.257052\pi\)
−0.280153 + 0.959955i \(0.590385\pi\)
\(168\) 3.44438 2.42879i 0.265740 0.187385i
\(169\) 12.5618 3.34692i 0.966290 0.257456i
\(170\) −0.0370161 0.0641138i −0.00283900 0.00491730i
\(171\) −10.8705 + 6.27611i −0.831291 + 0.479946i
\(172\) 4.22036 + 7.30987i 0.321799 + 0.557373i
\(173\) 12.1314 21.0122i 0.922332 1.59753i 0.126535 0.991962i \(-0.459614\pi\)
0.795797 0.605563i \(-0.207052\pi\)
\(174\) 3.56721i 0.270429i
\(175\) −4.34454 + 9.39784i −0.328416 + 0.710410i
\(176\) −8.80446 + 5.08325i −0.663661 + 0.383165i
\(177\) −7.93277 + 4.57999i −0.596263 + 0.344253i
\(178\) −0.873801 −0.0654942
\(179\) −2.06838 3.58253i −0.154598 0.267771i 0.778315 0.627874i \(-0.216075\pi\)
−0.932912 + 0.360103i \(0.882741\pi\)
\(180\) 4.15618i 0.309784i
\(181\) −7.86568 −0.584651 −0.292326 0.956319i \(-0.594429\pi\)
−0.292326 + 0.956319i \(0.594429\pi\)
\(182\) −1.04442 4.65381i −0.0774176 0.344964i
\(183\) −4.98167 −0.368256
\(184\) 8.23289i 0.606937i
\(185\) 0.439501 + 0.761237i 0.0323127 + 0.0559673i
\(186\) 1.20917 0.0886608
\(187\) −0.488003 + 0.281749i −0.0356863 + 0.0206035i
\(188\) −6.90560 + 3.98695i −0.503642 + 0.290778i
\(189\) −11.8158 + 1.07311i −0.859476 + 0.0780570i
\(190\) 2.87182i 0.208344i
\(191\) 3.23933 5.61069i 0.234390 0.405975i −0.724705 0.689059i \(-0.758024\pi\)
0.959095 + 0.283084i \(0.0913574\pi\)
\(192\) −1.10857 1.92011i −0.0800044 0.138572i
\(193\) 4.18228 2.41464i 0.301047 0.173810i −0.341866 0.939749i \(-0.611059\pi\)
0.642913 + 0.765939i \(0.277726\pi\)
\(194\) 0.675708 + 1.17036i 0.0485130 + 0.0840270i
\(195\) −2.94945 1.22414i −0.211214 0.0876626i
\(196\) 12.0497 2.20689i 0.860690 0.157635i
\(197\) −22.3748 12.9181i −1.59414 0.920377i −0.992586 0.121545i \(-0.961215\pi\)
−0.601554 0.798832i \(-0.705452\pi\)
\(198\) −4.51899 −0.321151
\(199\) −17.1146 −1.21322 −0.606612 0.794998i \(-0.707472\pi\)
−0.606612 + 0.794998i \(0.707472\pi\)
\(200\) −6.35417 3.66858i −0.449308 0.259408i
\(201\) 3.78518 + 2.18537i 0.266986 + 0.154144i
\(202\) −4.96749 + 2.86798i −0.349511 + 0.201790i
\(203\) 9.32312 20.1672i 0.654355 1.41546i
\(204\) −0.105590 0.182887i −0.00739278 0.0128047i
\(205\) −12.6112 −0.880806
\(206\) −1.80540 + 1.04235i −0.125788 + 0.0726238i
\(207\) −5.00171 + 8.66322i −0.347643 + 0.602136i
\(208\) −9.16129 + 1.19953i −0.635221 + 0.0831725i
\(209\) 21.8589 1.51201
\(210\) −0.491638 + 1.06348i −0.0339263 + 0.0733873i
\(211\) −9.14557 + 15.8406i −0.629607 + 1.09051i 0.358024 + 0.933713i \(0.383451\pi\)
−0.987631 + 0.156799i \(0.949883\pi\)
\(212\) 0.244652 0.423750i 0.0168028 0.0291032i
\(213\) 2.72149 + 1.57125i 0.186474 + 0.107661i
\(214\) 4.24360i 0.290086i
\(215\) −4.35446 2.51405i −0.296972 0.171457i
\(216\) 8.40796i 0.572089i
\(217\) 6.83606 + 3.16025i 0.464062 + 0.214532i
\(218\) −1.60755 + 2.78435i −0.108877 + 0.188580i
\(219\) 5.61825i 0.379646i
\(220\) 3.61887 6.26806i 0.243984 0.422593i
\(221\) −0.507782 + 0.0664862i −0.0341571 + 0.00447235i
\(222\) −0.179088 0.310190i −0.0120196 0.0208186i
\(223\) −9.96682 5.75435i −0.667428 0.385340i 0.127674 0.991816i \(-0.459249\pi\)
−0.795101 + 0.606477i \(0.792582\pi\)
\(224\) 1.20396 + 13.2567i 0.0804430 + 0.885747i
\(225\) 4.45753 + 7.72067i 0.297169 + 0.514712i
\(226\) 4.74711 2.74075i 0.315773 0.182312i
\(227\) 17.9045i 1.18836i −0.804332 0.594181i \(-0.797476\pi\)
0.804332 0.594181i \(-0.202524\pi\)
\(228\) 8.19200i 0.542528i
\(229\) −3.34589 + 1.93175i −0.221103 + 0.127654i −0.606461 0.795113i \(-0.707411\pi\)
0.385358 + 0.922767i \(0.374078\pi\)
\(230\) 1.14434 + 1.98206i 0.0754556 + 0.130693i
\(231\) 8.09472 + 3.74212i 0.532593 + 0.246213i
\(232\) 13.6357 + 7.87256i 0.895226 + 0.516859i
\(233\) 12.5321 + 21.7062i 0.821004 + 1.42202i 0.904935 + 0.425549i \(0.139919\pi\)
−0.0839312 + 0.996472i \(0.526748\pi\)
\(234\) −3.79320 1.57433i −0.247969 0.102917i
\(235\) 2.37501 4.11363i 0.154928 0.268344i
\(236\) 18.8678i 1.22819i
\(237\) −5.06477 + 8.77245i −0.328992 + 0.569832i
\(238\) 0.0169941 + 0.187120i 0.00110156 + 0.0121292i
\(239\) 7.80462i 0.504839i −0.967618 0.252419i \(-0.918774\pi\)
0.967618 0.252419i \(-0.0812263\pi\)
\(240\) 1.96557 + 1.13482i 0.126877 + 0.0732524i
\(241\) 21.7653i 1.40202i −0.713150 0.701012i \(-0.752732\pi\)
0.713150 0.701012i \(-0.247268\pi\)
\(242\) 2.05221 + 1.18484i 0.131921 + 0.0761647i
\(243\) −8.01138 + 13.8761i −0.513930 + 0.890154i
\(244\) 5.13063 8.88652i 0.328455 0.568901i
\(245\) −5.55895 + 4.72747i −0.355149 + 0.302027i
\(246\) 5.13884 0.327640
\(247\) 18.3482 + 7.61524i 1.16747 + 0.484546i
\(248\) −2.66855 + 4.62207i −0.169453 + 0.293502i
\(249\) −2.11404 + 1.22054i −0.133972 + 0.0773488i
\(250\) 4.64579 0.293826
\(251\) 3.83990 + 6.65090i 0.242372 + 0.419801i 0.961390 0.275191i \(-0.0887411\pi\)
−0.719017 + 0.694992i \(0.755408\pi\)
\(252\) 4.42624 9.57458i 0.278827 0.603142i
\(253\) 15.0865 8.71017i 0.948478 0.547604i
\(254\) −0.869411 0.501955i −0.0545517 0.0314954i
\(255\) 0.108945 + 0.0628995i 0.00682241 + 0.00393892i
\(256\) −0.464141 −0.0290088
\(257\) −13.6237 −0.849826 −0.424913 0.905234i \(-0.639695\pi\)
−0.424913 + 0.905234i \(0.639695\pi\)
\(258\) 1.77436 + 1.02443i 0.110467 + 0.0637781i
\(259\) −0.201775 2.22172i −0.0125377 0.138051i
\(260\) 5.22132 4.00061i 0.323813 0.248107i
\(261\) −9.56560 16.5681i −0.592096 1.02554i
\(262\) −5.39096 + 3.11247i −0.333055 + 0.192289i
\(263\) 5.86158 + 10.1525i 0.361440 + 0.626033i 0.988198 0.153181i \(-0.0489518\pi\)
−0.626758 + 0.779214i \(0.715618\pi\)
\(264\) −3.15989 + 5.47309i −0.194478 + 0.336845i
\(265\) 0.291476i 0.0179052i
\(266\) 3.05843 6.61580i 0.187524 0.405641i
\(267\) 1.28588 0.742403i 0.0786945 0.0454343i
\(268\) −7.79673 + 4.50144i −0.476261 + 0.274970i
\(269\) 9.19876 0.560858 0.280429 0.959875i \(-0.409523\pi\)
0.280429 + 0.959875i \(0.409523\pi\)
\(270\) 1.16867 + 2.02420i 0.0711232 + 0.123189i
\(271\) 2.56369i 0.155733i 0.996964 + 0.0778665i \(0.0248108\pi\)
−0.996964 + 0.0778665i \(0.975189\pi\)
\(272\) 0.363976 0.0220693
\(273\) 5.49095 + 5.96115i 0.332328 + 0.360785i
\(274\) 2.62252 0.158432
\(275\) 15.5250i 0.936195i
\(276\) 3.26428 + 5.65391i 0.196487 + 0.340325i
\(277\) 0.933882 0.0561115 0.0280558 0.999606i \(-0.491068\pi\)
0.0280558 + 0.999606i \(0.491068\pi\)
\(278\) −8.97981 + 5.18450i −0.538573 + 0.310945i
\(279\) 5.61607 3.24244i 0.336226 0.194120i
\(280\) −2.98016 4.22632i −0.178099 0.252571i
\(281\) 6.45288i 0.384947i −0.981302 0.192473i \(-0.938349\pi\)
0.981302 0.192473i \(-0.0616509\pi\)
\(282\) −0.967771 + 1.67623i −0.0576299 + 0.0998180i
\(283\) 11.0873 + 19.2037i 0.659071 + 1.14154i 0.980857 + 0.194731i \(0.0623835\pi\)
−0.321786 + 0.946812i \(0.604283\pi\)
\(284\) −5.60575 + 3.23648i −0.332640 + 0.192050i
\(285\) −2.43997 4.22615i −0.144531 0.250335i
\(286\) 4.34984 + 5.67711i 0.257211 + 0.335695i
\(287\) 29.0524 + 13.4307i 1.71491 + 0.792788i
\(288\) 9.92629 + 5.73094i 0.584912 + 0.337699i
\(289\) −16.9798 −0.998813
\(290\) −4.37702 −0.257028
\(291\) −1.98873 1.14820i −0.116582 0.0673085i
\(292\) 10.0221 + 5.78625i 0.586498 + 0.338615i
\(293\) −20.9600 + 12.1013i −1.22450 + 0.706964i −0.965874 0.259014i \(-0.916602\pi\)
−0.258624 + 0.965978i \(0.583269\pi\)
\(294\) 2.26517 1.92636i 0.132107 0.112347i
\(295\) 5.61972 + 9.73364i 0.327193 + 0.566714i
\(296\) 1.58094 0.0918902
\(297\) 15.4073 8.89539i 0.894020 0.516163i
\(298\) −0.00284392 + 0.00492581i −0.000164744 + 0.000285345i
\(299\) 15.6979 2.05540i 0.907833 0.118867i
\(300\) 5.81827 0.335918
\(301\) 7.35395 + 10.4290i 0.423875 + 0.601118i
\(302\) 4.72623 8.18607i 0.271964 0.471055i
\(303\) 4.87341 8.44100i 0.279970 0.484923i
\(304\) −12.2276 7.05959i −0.701299 0.404895i
\(305\) 6.11259i 0.350006i
\(306\) 0.140111 + 0.0808933i 0.00800963 + 0.00462436i
\(307\) 24.2924i 1.38644i −0.720726 0.693220i \(-0.756191\pi\)
0.720726 0.693220i \(-0.243809\pi\)
\(308\) −15.0121 + 10.5857i −0.855395 + 0.603176i
\(309\) 1.77121 3.06782i 0.100761 0.174522i
\(310\) 1.48367i 0.0842671i
\(311\) 1.99355 3.45294i 0.113044 0.195798i −0.803952 0.594694i \(-0.797273\pi\)
0.916996 + 0.398896i \(0.130607\pi\)
\(312\) −4.55911 + 3.49322i −0.258109 + 0.197764i
\(313\) −14.2377 24.6604i −0.804763 1.39389i −0.916451 0.400147i \(-0.868959\pi\)
0.111688 0.993743i \(-0.464374\pi\)
\(314\) −8.57071 4.94830i −0.483673 0.279249i
\(315\) 0.568325 + 6.25775i 0.0320215 + 0.352585i
\(316\) −10.4324 18.0695i −0.586871 1.01649i
\(317\) −14.5632 + 8.40806i −0.817950 + 0.472244i −0.849709 0.527252i \(-0.823222\pi\)
0.0317591 + 0.999496i \(0.489889\pi\)
\(318\) 0.118771i 0.00666036i
\(319\) 33.3158i 1.86533i
\(320\) −2.35600 + 1.36024i −0.131704 + 0.0760396i
\(321\) −3.60546 6.24485i −0.201237 0.348553i
\(322\) −0.525367 5.78476i −0.0292776 0.322372i
\(323\) −0.677736 0.391291i −0.0377102 0.0217720i
\(324\) −2.64657 4.58399i −0.147031 0.254666i
\(325\) 5.40863 13.0316i 0.300017 0.722862i
\(326\) −2.23308 + 3.86780i −0.123679 + 0.214218i
\(327\) 5.46324i 0.302118i
\(328\) −11.3410 + 19.6432i −0.626204 + 1.08462i
\(329\) −9.85222 + 6.94723i −0.543171 + 0.383013i
\(330\) 1.75685i 0.0967115i
\(331\) 5.37730 + 3.10459i 0.295563 + 0.170644i 0.640448 0.768002i \(-0.278749\pi\)
−0.344885 + 0.938645i \(0.612082\pi\)
\(332\) 5.02816i 0.275956i
\(333\) −1.66357 0.960464i −0.0911632 0.0526331i
\(334\) −1.53363 + 2.65633i −0.0839165 + 0.145348i
\(335\) 2.68149 4.64448i 0.146505 0.253755i
\(336\) −3.31951 4.70757i −0.181094 0.256819i
\(337\) 7.69650 0.419255 0.209628 0.977781i \(-0.432775\pi\)
0.209628 + 0.977781i \(0.432775\pi\)
\(338\) 1.67342 + 6.28072i 0.0910219 + 0.341626i
\(339\) −4.65721 + 8.06653i −0.252945 + 0.438114i
\(340\) −0.224406 + 0.129561i −0.0121701 + 0.00702642i
\(341\) −11.2930 −0.611552
\(342\) −3.13797 5.43513i −0.169682 0.293898i
\(343\) 17.8408 4.97049i 0.963313 0.268381i
\(344\) −7.83177 + 4.52167i −0.422261 + 0.243792i
\(345\) −3.36801 1.94452i −0.181327 0.104689i
\(346\) 10.5058 + 6.06553i 0.564795 + 0.326085i
\(347\) 30.4094 1.63246 0.816231 0.577725i \(-0.196059\pi\)
0.816231 + 0.577725i \(0.196059\pi\)
\(348\) −12.4857 −0.669302
\(349\) −13.9933 8.07906i −0.749046 0.432462i 0.0763028 0.997085i \(-0.475688\pi\)
−0.825349 + 0.564623i \(0.809022\pi\)
\(350\) −4.69880 2.17221i −0.251161 0.116110i
\(351\) 16.0317 2.09911i 0.855709 0.112042i
\(352\) −9.98008 17.2860i −0.531940 0.921347i
\(353\) −10.2558 + 5.92119i −0.545861 + 0.315153i −0.747451 0.664317i \(-0.768723\pi\)
0.201590 + 0.979470i \(0.435389\pi\)
\(354\) −2.28993 3.96628i −0.121709 0.210805i
\(355\) 1.92796 3.33932i 0.102325 0.177233i
\(356\) 3.05841i 0.162095i
\(357\) −0.183990 0.260926i −0.00973779 0.0138097i
\(358\) 1.79122 1.03416i 0.0946688 0.0546571i
\(359\) −27.1631 + 15.6826i −1.43362 + 0.827698i −0.997394 0.0721417i \(-0.977017\pi\)
−0.436221 + 0.899840i \(0.643683\pi\)
\(360\) −4.45292 −0.234689
\(361\) 5.67876 + 9.83591i 0.298882 + 0.517679i
\(362\) 3.93273i 0.206700i
\(363\) −4.02669 −0.211346
\(364\) −16.2889 + 3.65560i −0.853770 + 0.191605i
\(365\) −6.89369 −0.360832
\(366\) 2.49077i 0.130195i
\(367\) −12.0387 20.8517i −0.628415 1.08845i −0.987870 0.155285i \(-0.950370\pi\)
0.359454 0.933163i \(-0.382963\pi\)
\(368\) −11.2522 −0.586562
\(369\) 23.8676 13.7800i 1.24250 0.717358i
\(370\) −0.380608 + 0.219744i −0.0197869 + 0.0114240i
\(371\) 0.310416 0.671473i 0.0161160 0.0348611i
\(372\) 4.23225i 0.219432i
\(373\) 9.19612 15.9281i 0.476157 0.824728i −0.523470 0.852044i \(-0.675363\pi\)
0.999627 + 0.0273160i \(0.00869604\pi\)
\(374\) −0.140871 0.243995i −0.00728425 0.0126167i
\(375\) −6.83672 + 3.94718i −0.353046 + 0.203831i
\(376\) −4.27160 7.39862i −0.220291 0.381555i
\(377\) −11.6066 + 27.9650i −0.597771 + 1.44027i
\(378\) −0.536539 5.90776i −0.0275966 0.303862i
\(379\) −7.04719 4.06870i −0.361990 0.208995i 0.307963 0.951398i \(-0.400353\pi\)
−0.669953 + 0.742403i \(0.733686\pi\)
\(380\) 10.0517 0.515642
\(381\) 1.70589 0.0873955
\(382\) 2.80527 + 1.61962i 0.143530 + 0.0828671i
\(383\) −19.3739 11.1856i −0.989962 0.571555i −0.0846992 0.996407i \(-0.526993\pi\)
−0.905263 + 0.424852i \(0.860326\pi\)
\(384\) 8.36365 4.82876i 0.426806 0.246417i
\(385\) 4.59164 9.93236i 0.234012 0.506200i
\(386\) 1.20729 + 2.09108i 0.0614493 + 0.106433i
\(387\) 10.9882 0.558560
\(388\) 4.09641 2.36506i 0.207963 0.120068i
\(389\) −10.6973 + 18.5283i −0.542374 + 0.939420i 0.456393 + 0.889778i \(0.349141\pi\)
−0.998767 + 0.0496415i \(0.984192\pi\)
\(390\) 0.612054 1.47469i 0.0309926 0.0746736i
\(391\) −0.623674 −0.0315406
\(392\) 2.36445 + 12.9100i 0.119423 + 0.652051i
\(393\) 5.28886 9.16058i 0.266788 0.462090i
\(394\) 6.45888 11.1871i 0.325394 0.563599i
\(395\) 10.7639 + 6.21456i 0.541592 + 0.312689i
\(396\) 15.8170i 0.794835i
\(397\) 1.03640 + 0.598365i 0.0520154 + 0.0300311i 0.525782 0.850619i \(-0.323773\pi\)
−0.473767 + 0.880650i \(0.657106\pi\)
\(398\) 8.55708i 0.428928i
\(399\) 1.12019 + 12.3343i 0.0560797 + 0.617486i
\(400\) −5.01399 + 8.68449i −0.250699 + 0.434224i
\(401\) 36.2749i 1.81148i 0.423831 + 0.905741i \(0.360685\pi\)
−0.423831 + 0.905741i \(0.639315\pi\)
\(402\) −1.09266 + 1.89254i −0.0544968 + 0.0943913i
\(403\) −9.47926 3.93428i −0.472196 0.195980i
\(404\) 10.0383 + 17.3868i 0.499423 + 0.865026i
\(405\) 2.73066 + 1.57655i 0.135688 + 0.0783393i
\(406\) 10.0833 + 4.66144i 0.500428 + 0.231343i
\(407\) 1.67259 + 2.89701i 0.0829072 + 0.143599i
\(408\) 0.195945 0.113129i 0.00970071 0.00560071i
\(409\) 14.6723i 0.725500i 0.931887 + 0.362750i \(0.118162\pi\)
−0.931887 + 0.362750i \(0.881838\pi\)
\(410\) 6.30544i 0.311404i
\(411\) −3.85928 + 2.22816i −0.190364 + 0.109907i
\(412\) 3.64834 + 6.31912i 0.179741 + 0.311321i
\(413\) −2.58002 28.4082i −0.126954 1.39788i
\(414\) −4.33150 2.50079i −0.212881 0.122907i
\(415\) 1.49763 + 2.59397i 0.0735156 + 0.127333i
\(416\) −2.35507 17.9866i −0.115467 0.881866i
\(417\) 8.80975 15.2589i 0.431415 0.747233i
\(418\) 10.9292i 0.534563i
\(419\) 2.96674 5.13855i 0.144935 0.251034i −0.784414 0.620238i \(-0.787036\pi\)
0.929349 + 0.369203i \(0.120369\pi\)
\(420\) 3.72232 + 1.72079i 0.181630 + 0.0839661i
\(421\) 2.63174i 0.128263i 0.997941 + 0.0641317i \(0.0204278\pi\)
−0.997941 + 0.0641317i \(0.979572\pi\)
\(422\) −7.92008 4.57266i −0.385544 0.222594i
\(423\) 10.3805i 0.504715i
\(424\) 0.454004 + 0.262119i 0.0220484 + 0.0127296i
\(425\) −0.277910 + 0.481354i −0.0134806 + 0.0233491i
\(426\) −0.785606 + 1.36071i −0.0380628 + 0.0659266i
\(427\) 6.50978 14.0816i 0.315030 0.681454i
\(428\) 14.8531 0.717952
\(429\) −11.2246 4.65866i −0.541929 0.224922i
\(430\) 1.25699 2.17717i 0.0606175 0.104993i
\(431\) 16.3139 9.41883i 0.785812 0.453689i −0.0526738 0.998612i \(-0.516774\pi\)
0.838486 + 0.544923i \(0.183441\pi\)
\(432\) −11.4915 −0.552884
\(433\) 9.56773 + 16.5718i 0.459796 + 0.796389i 0.998950 0.0458176i \(-0.0145893\pi\)
−0.539154 + 0.842207i \(0.681256\pi\)
\(434\) −1.58008 + 3.41794i −0.0758463 + 0.164066i
\(435\) 6.44119 3.71883i 0.308832 0.178304i
\(436\) 9.74557 + 5.62661i 0.466728 + 0.269466i
\(437\) 20.9520 + 12.0966i 1.00227 + 0.578660i
\(438\) 2.80905 0.134222
\(439\) 1.26511 0.0603803 0.0301901 0.999544i \(-0.490389\pi\)
0.0301901 + 0.999544i \(0.490389\pi\)
\(440\) 6.71557 + 3.87724i 0.320152 + 0.184840i
\(441\) 5.35512 15.0212i 0.255006 0.715296i
\(442\) −0.0332422 0.253884i −0.00158117 0.0120760i
\(443\) 10.4696 + 18.1339i 0.497426 + 0.861568i 0.999996 0.00296930i \(-0.000945159\pi\)
−0.502569 + 0.864537i \(0.667612\pi\)
\(444\) −1.08570 + 0.626831i −0.0515252 + 0.0297481i
\(445\) −0.910940 1.57779i −0.0431827 0.0747946i
\(446\) 2.87710 4.98328i 0.136234 0.235965i
\(447\) 0.00966505i 0.000457141i
\(448\) 6.87614 0.624486i 0.324867 0.0295042i
\(449\) 15.4700 8.93162i 0.730075 0.421509i −0.0883746 0.996087i \(-0.528167\pi\)
0.818450 + 0.574578i \(0.194834\pi\)
\(450\) −3.86023 + 2.22871i −0.181973 + 0.105062i
\(451\) −47.9940 −2.25995
\(452\) −9.59295 16.6155i −0.451214 0.781526i
\(453\) 16.0621i 0.754662i
\(454\) 8.95199 0.420138
\(455\) 7.31443 6.73749i 0.342906 0.315858i
\(456\) −8.77687 −0.411015
\(457\) 6.56597i 0.307143i −0.988138 0.153571i \(-0.950922\pi\)
0.988138 0.153571i \(-0.0490775\pi\)
\(458\) −0.965850 1.67290i −0.0451312 0.0781695i
\(459\) −0.636936 −0.0297296
\(460\) 6.93744 4.00533i 0.323460 0.186749i
\(461\) −4.42854 + 2.55682i −0.206258 + 0.119083i −0.599571 0.800322i \(-0.704662\pi\)
0.393313 + 0.919404i \(0.371329\pi\)
\(462\) −1.87101 + 4.04725i −0.0870472 + 0.188295i
\(463\) 33.3239i 1.54869i 0.632761 + 0.774347i \(0.281921\pi\)
−0.632761 + 0.774347i \(0.718079\pi\)
\(464\) 10.7597 18.6364i 0.499508 0.865173i
\(465\) 1.26057 + 2.18336i 0.0584574 + 0.101251i
\(466\) −10.8528 + 6.26587i −0.502747 + 0.290261i
\(467\) −6.47472 11.2145i −0.299614 0.518947i 0.676433 0.736504i \(-0.263525\pi\)
−0.976048 + 0.217557i \(0.930191\pi\)
\(468\) −5.51035 + 13.2767i −0.254716 + 0.613714i
\(469\) −11.1236 + 7.84374i −0.513641 + 0.362190i
\(470\) 2.05676 + 1.18747i 0.0948713 + 0.0547740i
\(471\) 16.8168 0.774877
\(472\) 20.2148 0.930463
\(473\) −16.5716 9.56761i −0.761962 0.439919i
\(474\) −4.38611 2.53232i −0.201461 0.116313i
\(475\) 18.6724 10.7805i 0.856750 0.494645i
\(476\) 0.654942 0.0594814i 0.0300192 0.00272633i
\(477\) −0.318489 0.551640i −0.0145826 0.0252578i
\(478\) 3.90221 0.178483
\(479\) 23.3930 13.5060i 1.06885 0.617104i 0.140987 0.990012i \(-0.454973\pi\)
0.927868 + 0.372908i \(0.121639\pi\)
\(480\) −2.22802 + 3.85905i −0.101695 + 0.176141i
\(481\) 0.394692 + 3.01442i 0.0179964 + 0.137446i
\(482\) 10.8823 0.495677
\(483\) 5.68799 + 8.06644i 0.258813 + 0.367036i
\(484\) 4.14710 7.18299i 0.188505 0.326499i
\(485\) −1.40886 + 2.44021i −0.0639729 + 0.110804i
\(486\) −6.93788 4.00558i −0.314708 0.181697i
\(487\) 32.0838i 1.45386i −0.686713 0.726928i \(-0.740947\pi\)
0.686713 0.726928i \(-0.259053\pi\)
\(488\) 9.52097 + 5.49694i 0.430994 + 0.248835i
\(489\) 7.58910i 0.343191i
\(490\) −2.36367 2.77940i −0.106780 0.125561i
\(491\) −14.3020 + 24.7718i −0.645440 + 1.11793i 0.338760 + 0.940873i \(0.389992\pi\)
−0.984200 + 0.177061i \(0.943341\pi\)
\(492\) 17.9866i 0.810897i
\(493\) 0.596378 1.03296i 0.0268595 0.0465220i
\(494\) −3.80752 + 9.17385i −0.171308 + 0.412751i
\(495\) −4.71106 8.15980i −0.211746 0.366756i
\(496\) 6.31716 + 3.64721i 0.283649 + 0.163765i
\(497\) −7.99773 + 5.63954i −0.358747 + 0.252968i
\(498\) −0.610255 1.05699i −0.0273462 0.0473650i
\(499\) 1.55726 0.899082i 0.0697123 0.0402484i −0.464739 0.885448i \(-0.653852\pi\)
0.534451 + 0.845199i \(0.320518\pi\)
\(500\) 16.2608i 0.727207i
\(501\) 5.21204i 0.232857i
\(502\) −3.32536 + 1.91990i −0.148418 + 0.0856893i
\(503\) −14.5386 25.1816i −0.648245 1.12279i −0.983542 0.180681i \(-0.942170\pi\)
0.335297 0.942112i \(-0.391163\pi\)
\(504\) 10.2582 + 4.74226i 0.456935 + 0.211237i
\(505\) −10.3572 5.97976i −0.460891 0.266096i
\(506\) 4.35497 + 7.54303i 0.193602 + 0.335329i
\(507\) −7.79884 7.82088i −0.346359 0.347338i
\(508\) −1.75690 + 3.04304i −0.0779499 + 0.135013i
\(509\) 23.1913i 1.02794i 0.857809 + 0.513969i \(0.171825\pi\)
−0.857809 + 0.513969i \(0.828175\pi\)
\(510\) −0.0314489 + 0.0544711i −0.00139258 + 0.00241202i
\(511\) 15.8810 + 7.34163i 0.702532 + 0.324774i
\(512\) 22.5022i 0.994464i
\(513\) 21.3975 + 12.3539i 0.944723 + 0.545436i
\(514\) 6.81169i 0.300451i
\(515\) −3.76427 2.17330i −0.165874 0.0957671i
\(516\) 3.58562 6.21048i 0.157848 0.273401i
\(517\) 9.03847 15.6551i 0.397511 0.688510i
\(518\) 1.11083 0.100885i 0.0488070 0.00443262i
\(519\) −20.6137 −0.904840
\(520\) 4.28624 + 5.59410i 0.187964 + 0.245318i
\(521\) −16.6255 + 28.7962i −0.728376 + 1.26158i 0.229193 + 0.973381i \(0.426391\pi\)
−0.957569 + 0.288203i \(0.906942\pi\)
\(522\) 8.28383 4.78267i 0.362574 0.209332i
\(523\) 38.7121 1.69276 0.846380 0.532579i \(-0.178777\pi\)
0.846380 + 0.532579i \(0.178777\pi\)
\(524\) 10.8940 + 18.8690i 0.475908 + 0.824296i
\(525\) 8.76027 0.795602i 0.382330 0.0347229i
\(526\) −5.07614 + 2.93071i −0.221330 + 0.127785i
\(527\) 0.350140 + 0.202153i 0.0152523 + 0.00880594i
\(528\) 7.48028 + 4.31874i 0.325537 + 0.187949i
\(529\) −3.71931 −0.161709
\(530\) −0.145734 −0.00633029
\(531\) −21.2714 12.2811i −0.923102 0.532953i
\(532\) −23.1561 10.7049i −1.00394 0.464115i
\(533\) −40.2857 16.7202i −1.74497 0.724233i
\(534\) 0.371191 + 0.642922i 0.0160630 + 0.0278220i
\(535\) −7.66253 + 4.42396i −0.331280 + 0.191265i
\(536\) −4.82283 8.35338i −0.208314 0.360811i
\(537\) −1.75730 + 3.04372i −0.0758329 + 0.131346i
\(538\) 4.59926i 0.198288i
\(539\) −21.1555 + 17.9911i −0.911231 + 0.774933i
\(540\) 7.08495 4.09050i 0.304888 0.176027i
\(541\) −19.6306 + 11.3337i −0.843986 + 0.487275i −0.858617 0.512618i \(-0.828676\pi\)
0.0146313 + 0.999893i \(0.495343\pi\)
\(542\) −1.28181 −0.0550585
\(543\) 3.34135 + 5.78738i 0.143391 + 0.248360i
\(544\) 0.714603i 0.0306384i
\(545\) −6.70349 −0.287146
\(546\) −2.98049 + 2.74540i −0.127553 + 0.117492i
\(547\) −9.21134 −0.393848 −0.196924 0.980419i \(-0.563095\pi\)
−0.196924 + 0.980419i \(0.563095\pi\)
\(548\) 9.17913i 0.392113i
\(549\) −6.67909 11.5685i −0.285056 0.493732i
\(550\) 7.76231 0.330986
\(551\) −40.0699 + 23.1344i −1.70704 + 0.985558i
\(552\) −6.05757 + 3.49734i −0.257827 + 0.148857i
\(553\) −18.1785 25.7798i −0.773027 1.09627i
\(554\) 0.466928i 0.0198379i
\(555\) 0.373400 0.646748i 0.0158500 0.0274529i
\(556\) 18.1464 + 31.4304i 0.769577 + 1.33295i
\(557\) 9.81039 5.66403i 0.415680 0.239993i −0.277547 0.960712i \(-0.589522\pi\)
0.693227 + 0.720719i \(0.256188\pi\)
\(558\) 1.62118 + 2.80796i 0.0686299 + 0.118871i
\(559\) −10.5769 13.8042i −0.447354 0.583855i
\(560\) −5.77627 + 4.07310i −0.244092 + 0.172120i
\(561\) 0.414608 + 0.239374i 0.0175048 + 0.0101064i
\(562\) 3.22636 0.136096
\(563\) −32.6386 −1.37555 −0.687777 0.725922i \(-0.741414\pi\)
−0.687777 + 0.725922i \(0.741414\pi\)
\(564\) 5.86700 + 3.38732i 0.247045 + 0.142632i
\(565\) 9.89776 + 5.71448i 0.416402 + 0.240410i
\(566\) −9.60161 + 5.54349i −0.403586 + 0.233010i
\(567\) −4.61162 6.53998i −0.193670 0.274653i
\(568\) −3.46755 6.00597i −0.145495 0.252005i
\(569\) −35.0091 −1.46766 −0.733829 0.679335i \(-0.762269\pi\)
−0.733829 + 0.679335i \(0.762269\pi\)
\(570\) 2.11302 1.21995i 0.0885046 0.0510981i
\(571\) 13.1273 22.7371i 0.549360 0.951519i −0.448959 0.893552i \(-0.648205\pi\)
0.998319 0.0579663i \(-0.0184616\pi\)
\(572\) 19.8706 15.2250i 0.830830 0.636587i
\(573\) −5.50428 −0.229945
\(574\) −6.71516 + 14.5258i −0.280285 + 0.606296i
\(575\) 8.59149 14.8809i 0.358290 0.620576i
\(576\) 2.97260 5.14870i 0.123858 0.214529i
\(577\) 21.2806 + 12.2863i 0.885922 + 0.511487i 0.872606 0.488424i \(-0.162428\pi\)
0.0133154 + 0.999911i \(0.495761\pi\)
\(578\) 8.48969i 0.353124i
\(579\) −3.55327 2.05148i −0.147669 0.0852567i
\(580\) 15.3201i 0.636133i
\(581\) −0.687561 7.57065i −0.0285248 0.314083i
\(582\) 0.574083 0.994341i 0.0237965 0.0412167i
\(583\) 1.10926i 0.0459408i
\(584\) −6.19936 + 10.7376i −0.256531 + 0.444325i
\(585\) −1.11170 8.49051i −0.0459632 0.351039i
\(586\) −6.05048 10.4797i −0.249943 0.432914i
\(587\) 17.7777 + 10.2640i 0.733765 + 0.423639i 0.819798 0.572653i \(-0.194086\pi\)
−0.0860331 + 0.996292i \(0.527419\pi\)
\(588\) −6.74248 7.92837i −0.278055 0.326961i
\(589\) −7.84184 13.5825i −0.323117 0.559656i
\(590\) −4.86669 + 2.80978i −0.200358 + 0.115677i
\(591\) 21.9505i 0.902923i
\(592\) 2.16073i 0.0888054i
\(593\) 33.1545 19.1417i 1.36149 0.786057i 0.371669 0.928365i \(-0.378786\pi\)
0.989822 + 0.142308i \(0.0454524\pi\)
\(594\) 4.44757 + 7.70342i 0.182486 + 0.316075i
\(595\) −0.320160 + 0.225759i −0.0131253 + 0.00925521i
\(596\) 0.0172409 + 0.00995405i 0.000706216 + 0.000407734i
\(597\) 7.27030 + 12.5925i 0.297554 + 0.515378i
\(598\) 1.02767 + 7.84874i 0.0420247 + 0.320959i
\(599\) −7.03567 + 12.1861i −0.287470 + 0.497912i −0.973205 0.229939i \(-0.926147\pi\)
0.685735 + 0.727851i \(0.259481\pi\)
\(600\) 6.23367i 0.254488i
\(601\) 10.1171 17.5233i 0.412685 0.714791i −0.582498 0.812832i \(-0.697925\pi\)
0.995182 + 0.0980417i \(0.0312579\pi\)
\(602\) −5.21437 + 3.67688i −0.212522 + 0.149858i
\(603\) 11.7200i 0.477276i
\(604\) −28.6522 16.5424i −1.16584 0.673099i
\(605\) 4.94082i 0.200873i
\(606\) 4.22039 + 2.43664i 0.171441 + 0.0989818i
\(607\) −3.27563 + 5.67356i −0.132954 + 0.230283i −0.924814 0.380420i \(-0.875780\pi\)
0.791860 + 0.610703i \(0.209113\pi\)
\(608\) 13.8603 24.0067i 0.562108 0.973600i
\(609\) −18.7990 + 1.70731i −0.761775 + 0.0691839i
\(610\) −3.05621 −0.123742
\(611\) 13.0407 9.99190i 0.527572 0.404229i
\(612\) 0.283136 0.490406i 0.0114451 0.0198235i
\(613\) 28.8598 16.6622i 1.16564 0.672980i 0.212988 0.977055i \(-0.431681\pi\)
0.952648 + 0.304075i \(0.0983472\pi\)
\(614\) 12.1459 0.490168
\(615\) 5.35726 + 9.27904i 0.216025 + 0.374167i
\(616\) −11.3415 16.0839i −0.456961 0.648040i
\(617\) 5.85466 3.38019i 0.235700 0.136081i −0.377499 0.926010i \(-0.623216\pi\)
0.613199 + 0.789929i \(0.289883\pi\)
\(618\) 1.53387 + 0.885581i 0.0617013 + 0.0356233i
\(619\) 15.2582 + 8.80931i 0.613278 + 0.354076i 0.774247 0.632883i \(-0.218129\pi\)
−0.160970 + 0.986959i \(0.551462\pi\)
\(620\) −5.19304 −0.208558
\(621\) 19.6907 0.790159
\(622\) 1.72642 + 0.996751i 0.0692233 + 0.0399661i
\(623\) 0.418213 + 4.60489i 0.0167554 + 0.184491i
\(624\) 4.77431 + 6.23110i 0.191125 + 0.249444i
\(625\) −4.93986 8.55609i −0.197594 0.342244i
\(626\) 12.3299 7.11866i 0.492801 0.284519i
\(627\) −9.28569 16.0833i −0.370835 0.642304i
\(628\) −17.3197 + 29.9985i −0.691130 + 1.19707i
\(629\) 0.119762i 0.00477524i
\(630\) −3.12879 + 0.284155i −0.124654 + 0.0113210i
\(631\) 13.6416 7.87596i 0.543062 0.313537i −0.203257 0.979125i \(-0.565153\pi\)
0.746319 + 0.665588i \(0.231819\pi\)
\(632\) 19.3596 11.1773i 0.770084 0.444608i
\(633\) 15.5402 0.617667
\(634\) −4.20392 7.28140i −0.166959 0.289181i
\(635\) 2.09316i 0.0830644i
\(636\) −0.415713 −0.0164841
\(637\) −24.0255 + 7.73143i −0.951925 + 0.306330i
\(638\) −16.6575 −0.659475
\(639\) 8.42653i 0.333348i
\(640\) −5.92497 10.2623i −0.234205 0.405655i
\(641\) 20.9405 0.827099 0.413550 0.910482i \(-0.364289\pi\)
0.413550 + 0.910482i \(0.364289\pi\)
\(642\) 3.12234 1.80268i 0.123229 0.0711463i
\(643\) −16.3952 + 9.46576i −0.646563 + 0.373293i −0.787138 0.616777i \(-0.788438\pi\)
0.140575 + 0.990070i \(0.455105\pi\)
\(644\) −20.2473 + 1.83885i −0.797857 + 0.0724608i
\(645\) 4.27188i 0.168205i
\(646\) 0.195640 0.338859i 0.00769736 0.0133322i
\(647\) −18.8384 32.6291i −0.740614 1.28278i −0.952216 0.305426i \(-0.901201\pi\)
0.211601 0.977356i \(-0.432132\pi\)
\(648\) 4.91126 2.83552i 0.192933 0.111390i
\(649\) 21.3867 + 37.0429i 0.839503 + 1.45406i
\(650\) 6.51562 + 2.70424i 0.255563 + 0.106069i
\(651\) −0.578727 6.37229i −0.0226821 0.249750i
\(652\) 13.5378 + 7.81604i 0.530180 + 0.306100i
\(653\) 29.0326 1.13613 0.568066 0.822983i \(-0.307692\pi\)
0.568066 + 0.822983i \(0.307692\pi\)
\(654\) 2.73155 0.106812
\(655\) −11.2402 6.48952i −0.439190 0.253567i
\(656\) 26.8472 + 15.5002i 1.04821 + 0.605182i
\(657\) 13.0468 7.53257i 0.509004 0.293874i
\(658\) −3.47352 4.92598i −0.135412 0.192035i
\(659\) 0.709152 + 1.22829i 0.0276247 + 0.0478473i 0.879507 0.475886i \(-0.157872\pi\)
−0.851883 + 0.523733i \(0.824539\pi\)
\(660\) −6.14919 −0.239357
\(661\) −3.97764 + 2.29649i −0.154712 + 0.0893231i −0.575357 0.817902i \(-0.695137\pi\)
0.420645 + 0.907225i \(0.361804\pi\)
\(662\) −1.55225 + 2.68858i −0.0603300 + 0.104495i
\(663\) 0.264625 + 0.345370i 0.0102772 + 0.0134131i
\(664\) 5.38715 0.209062
\(665\) 15.1344 1.37449i 0.586885 0.0533005i
\(666\) 0.480219 0.831764i 0.0186081 0.0322302i
\(667\) −18.4368 + 31.9335i −0.713877 + 1.23647i
\(668\) 9.29746 + 5.36789i 0.359730 + 0.207690i
\(669\) 9.77780i 0.378032i
\(670\) 2.32218 + 1.34071i 0.0897135 + 0.0517961i
\(671\) 23.2624i 0.898036i
\(672\) 9.24249 6.51728i 0.356537 0.251410i
\(673\) −2.10111 + 3.63924i −0.0809920 + 0.140282i −0.903676 0.428216i \(-0.859142\pi\)
0.822684 + 0.568499i \(0.192475\pi\)
\(674\) 3.84815i 0.148225i
\(675\) 8.77418 15.1973i 0.337718 0.584945i
\(676\) 21.9833 5.85716i 0.845510 0.225275i
\(677\) −4.04354 7.00361i −0.155406 0.269171i 0.777801 0.628511i \(-0.216335\pi\)
−0.933207 + 0.359340i \(0.883002\pi\)
\(678\) −4.03316 2.32854i −0.154892 0.0894272i
\(679\) 5.84435 4.12110i 0.224285 0.158153i
\(680\) −0.138811 0.240427i −0.00532315 0.00921997i
\(681\) −13.1737 + 7.60583i −0.504817 + 0.291456i
\(682\) 5.64636i 0.216210i
\(683\) 24.6865i 0.944604i −0.881437 0.472302i \(-0.843423\pi\)
0.881437 0.472302i \(-0.156577\pi\)
\(684\) −19.0236 + 10.9833i −0.727386 + 0.419956i
\(685\) 2.73398 + 4.73540i 0.104460 + 0.180930i
\(686\) 2.48518 + 8.92016i 0.0948846 + 0.340573i
\(687\) 2.84267 + 1.64122i 0.108455 + 0.0626164i
\(688\) 6.17994 + 10.7040i 0.235608 + 0.408085i
\(689\) −0.386445 + 0.931102i −0.0147224 + 0.0354722i
\(690\) 0.972234 1.68396i 0.0370123 0.0641072i
\(691\) 11.2567i 0.428225i −0.976809 0.214113i \(-0.931314\pi\)
0.976809 0.214113i \(-0.0686859\pi\)
\(692\) 21.2301 36.7716i 0.807047 1.39785i
\(693\) 2.16285 + 23.8149i 0.0821599 + 0.904652i
\(694\) 15.2043i 0.577147i
\(695\) −18.7230 10.8097i −0.710202 0.410035i
\(696\) 13.3771i 0.507057i
\(697\) 1.48805 + 0.859128i 0.0563640 + 0.0325418i
\(698\) 4.03942 6.99648i 0.152894 0.264821i
\(699\) 10.6473 18.4416i 0.402717 0.697526i
\(700\) −7.60300 + 16.4463i −0.287366 + 0.621614i
\(701\) 22.2305 0.839635 0.419818 0.907608i \(-0.362094\pi\)
0.419818 + 0.907608i \(0.362094\pi\)
\(702\) 1.04953 + 8.01564i 0.0396118 + 0.302531i
\(703\) −2.32288 + 4.02335i −0.0876091 + 0.151743i
\(704\) −8.96614 + 5.17660i −0.337924 + 0.195101i
\(705\) −4.03562 −0.151990
\(706\) −2.96052 5.12776i −0.111420 0.192986i
\(707\) 17.4916 + 24.8058i 0.657841 + 0.932918i
\(708\) −13.8825 + 8.01504i −0.521734 + 0.301224i
\(709\) 20.5889 + 11.8870i 0.773234 + 0.446427i 0.834027 0.551723i \(-0.186030\pi\)
−0.0607929 + 0.998150i \(0.519363\pi\)
\(710\) 1.66961 + 0.963952i 0.0626595 + 0.0361765i
\(711\) −27.1620 −1.01866
\(712\) −3.27677 −0.122802
\(713\) −10.8245 6.24951i −0.405380 0.234046i
\(714\) 0.130459 0.0919926i 0.00488232 0.00344274i
\(715\) −5.71626 + 13.7728i −0.213776 + 0.515072i
\(716\) −3.61969 6.26948i −0.135274 0.234301i
\(717\) −5.74246 + 3.31541i −0.214456 + 0.123816i
\(718\) −7.84111 13.5812i −0.292628 0.506846i
\(719\) 10.3904 17.9967i 0.387496 0.671163i −0.604616 0.796517i \(-0.706673\pi\)
0.992112 + 0.125354i \(0.0400068\pi\)
\(720\) 6.08597i 0.226811i
\(721\) 6.35722 + 9.01550i 0.236755 + 0.335755i
\(722\) −4.91782 + 2.83931i −0.183022 + 0.105668i
\(723\) −16.0144 + 9.24589i −0.595580 + 0.343859i
\(724\) −13.7650 −0.511574
\(725\) 16.4309 + 28.4592i 0.610229 + 1.05695i
\(726\) 2.01329i 0.0747203i
\(727\) −26.7719 −0.992915 −0.496457 0.868061i \(-0.665366\pi\)
−0.496457 + 0.868061i \(0.665366\pi\)
\(728\) −3.91659 17.4519i −0.145159 0.646809i
\(729\) 4.53910 0.168115
\(730\) 3.44675i 0.127570i
\(731\) 0.342535 + 0.593287i 0.0126691 + 0.0219435i
\(732\) −8.71799 −0.322226
\(733\) 4.55224 2.62824i 0.168141 0.0970761i −0.413568 0.910473i \(-0.635718\pi\)
0.581709 + 0.813397i \(0.302384\pi\)
\(734\) 10.4255 6.01919i 0.384814 0.222172i
\(735\) 5.83981 + 2.08191i 0.215405 + 0.0767926i
\(736\) 22.0917i 0.814312i
\(737\) 10.2048 17.6753i 0.375900 0.651078i
\(738\) 6.88981 + 11.9335i 0.253617 + 0.439278i
\(739\) 6.19209 3.57501i 0.227780 0.131509i −0.381768 0.924258i \(-0.624685\pi\)
0.609547 + 0.792750i \(0.291351\pi\)
\(740\) 0.769132 + 1.33218i 0.0282738 + 0.0489717i
\(741\) −2.19121 16.7351i −0.0804960 0.614780i
\(742\) 0.335727 + 0.155204i 0.0123249 + 0.00569771i
\(743\) −0.618032 0.356821i −0.0226734 0.0130905i 0.488620 0.872496i \(-0.337500\pi\)
−0.511294 + 0.859406i \(0.670834\pi\)
\(744\) 4.53441 0.166240
\(745\) −0.0118592 −0.000434486
\(746\) 7.96386 + 4.59794i 0.291578 + 0.168342i
\(747\) −5.66873 3.27284i −0.207408 0.119747i
\(748\) −0.854012 + 0.493064i −0.0312258 + 0.0180282i
\(749\) 22.3636 2.03104i 0.817147 0.0742127i
\(750\) −1.97354 3.41827i −0.0720634 0.124817i
\(751\) 25.7013 0.937854 0.468927 0.883237i \(-0.344641\pi\)
0.468927 + 0.883237i \(0.344641\pi\)
\(752\) −10.1120 + 5.83815i −0.368746 + 0.212896i
\(753\) 3.26238 5.65062i 0.118888 0.205920i
\(754\) −13.9821 5.80315i −0.509199 0.211338i
\(755\) 19.7084 0.717263
\(756\) −20.6779 + 1.87795i −0.752047 + 0.0683004i
\(757\) −8.19425 + 14.1928i −0.297825 + 0.515848i −0.975638 0.219386i \(-0.929594\pi\)
0.677813 + 0.735234i \(0.262928\pi\)
\(758\) 2.03430 3.52350i 0.0738889 0.127979i
\(759\) −12.8175 7.40018i −0.465245 0.268609i
\(760\) 10.7694i 0.390646i
\(761\) 7.20531 + 4.15999i 0.261192 + 0.150800i 0.624878 0.780722i \(-0.285149\pi\)
−0.363686 + 0.931522i \(0.618482\pi\)
\(762\) 0.852923i 0.0308981i
\(763\) 15.4428 + 7.13907i 0.559067 + 0.258452i
\(764\) 5.66888 9.81878i 0.205093 0.355231i
\(765\) 0.337326i 0.0121960i
\(766\) 5.59263 9.68671i 0.202070 0.349995i
\(767\) 5.04678 + 38.5442i 0.182229 + 1.39175i
\(768\) 0.197167 + 0.341504i 0.00711466 + 0.0123230i
\(769\) 22.1346 + 12.7794i 0.798194 + 0.460838i 0.842839 0.538165i \(-0.180882\pi\)
−0.0446452 + 0.999003i \(0.514216\pi\)
\(770\) 4.96605 + 2.29576i 0.178964 + 0.0827334i
\(771\) 5.78738 + 10.0240i 0.208427 + 0.361007i
\(772\) 7.31905 4.22565i 0.263418 0.152085i
\(773\) 8.40077i 0.302155i −0.988522 0.151077i \(-0.951726\pi\)
0.988522 0.151077i \(-0.0482742\pi\)
\(774\) 5.49394i 0.197476i
\(775\)