Properties

Label 570.2.s.a.221.12
Level $570$
Weight $2$
Character 570.221
Analytic conductor $4.551$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 221.12
Character \(\chi\) \(=\) 570.221
Dual form 570.2.s.a.521.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 - 0.866025i) q^{2} +(1.72438 - 0.162784i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-1.00317 - 1.41197i) q^{6} +3.36569 q^{7} +1.00000 q^{8} +(2.94700 - 0.561404i) q^{9} +O(q^{10})\) \(q+(-0.500000 - 0.866025i) q^{2} +(1.72438 - 0.162784i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-1.00317 - 1.41197i) q^{6} +3.36569 q^{7} +1.00000 q^{8} +(2.94700 - 0.561404i) q^{9} +(-0.866025 - 0.500000i) q^{10} +0.795353i q^{11} +(-0.721217 + 1.57475i) q^{12} +(1.59822 + 0.922734i) q^{13} +(-1.68284 - 2.91477i) q^{14} +(1.41197 - 1.00317i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-6.17887 + 3.56737i) q^{17} +(-1.95969 - 2.27148i) q^{18} +(-0.831025 + 4.27895i) q^{19} +1.00000i q^{20} +(5.80374 - 0.547880i) q^{21} +(0.688796 - 0.397676i) q^{22} +(-1.72727 - 0.997241i) q^{23} +(1.72438 - 0.162784i) q^{24} +(0.500000 - 0.866025i) q^{25} -1.84547i q^{26} +(4.99038 - 1.44780i) q^{27} +(-1.68284 + 2.91477i) q^{28} +(1.95032 - 3.37805i) q^{29} +(-1.57475 - 0.721217i) q^{30} -8.28909i q^{31} +(-0.500000 + 0.866025i) q^{32} +(0.129471 + 1.37149i) q^{33} +(6.17887 + 3.56737i) q^{34} +(2.91477 - 1.68284i) q^{35} +(-0.987311 + 2.83288i) q^{36} +3.63511i q^{37} +(4.12119 - 1.41979i) q^{38} +(2.90616 + 1.33098i) q^{39} +(0.866025 - 0.500000i) q^{40} +(-2.08497 - 3.61128i) q^{41} +(-3.37635 - 4.75224i) q^{42} +(-1.75379 - 3.03766i) q^{43} +(-0.688796 - 0.397676i) q^{44} +(2.27148 - 1.95969i) q^{45} +1.99448i q^{46} +(-3.13074 - 1.80753i) q^{47} +(-1.00317 - 1.41197i) q^{48} +4.32785 q^{49} -1.00000 q^{50} +(-10.0740 + 7.15734i) q^{51} +(-1.59822 + 0.922734i) q^{52} +(3.21210 - 5.56351i) q^{53} +(-3.74902 - 3.59789i) q^{54} +(0.397676 + 0.688796i) q^{55} +3.36569 q^{56} +(-0.736463 + 7.51383i) q^{57} -3.90064 q^{58} +(4.40416 + 7.62824i) q^{59} +(0.162784 + 1.72438i) q^{60} +(-3.34905 + 5.80073i) q^{61} +(-7.17856 + 4.14455i) q^{62} +(9.91869 - 1.88951i) q^{63} +1.00000 q^{64} +1.84547 q^{65} +(1.12301 - 0.797872i) q^{66} +(-3.16763 - 1.82883i) q^{67} -7.13474i q^{68} +(-3.14081 - 1.43845i) q^{69} +(-2.91477 - 1.68284i) q^{70} +(0.800066 + 1.38576i) q^{71} +(2.94700 - 0.561404i) q^{72} +(-7.05458 - 12.2189i) q^{73} +(3.14810 - 1.81755i) q^{74} +(0.721217 - 1.57475i) q^{75} +(-3.29017 - 2.85916i) q^{76} +2.67691i q^{77} +(-0.300413 - 3.18230i) q^{78} +(-10.3514 + 5.97636i) q^{79} +(-0.866025 - 0.500000i) q^{80} +(8.36965 - 3.30892i) q^{81} +(-2.08497 + 3.61128i) q^{82} -13.9932i q^{83} +(-2.42739 + 5.30012i) q^{84} +(-3.56737 + 6.17887i) q^{85} +(-1.75379 + 3.03766i) q^{86} +(2.81321 - 6.14254i) q^{87} +0.795353i q^{88} +(-1.83681 + 3.18145i) q^{89} +(-2.83288 - 0.987311i) q^{90} +(5.37912 + 3.10563i) q^{91} +(1.72727 - 0.997241i) q^{92} +(-1.34933 - 14.2936i) q^{93} +3.61507i q^{94} +(1.41979 + 4.12119i) q^{95} +(-0.721217 + 1.57475i) q^{96} +(-15.9344 + 9.19973i) q^{97} +(-2.16392 - 3.74803i) q^{98} +(0.446514 + 2.34391i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 12q^{2} + 4q^{3} - 12q^{4} - 2q^{6} - 12q^{7} + 24q^{8} - 4q^{9} + O(q^{10}) \) \( 24q - 12q^{2} + 4q^{3} - 12q^{4} - 2q^{6} - 12q^{7} + 24q^{8} - 4q^{9} - 2q^{12} + 18q^{13} + 6q^{14} - 12q^{16} + 12q^{17} + 2q^{18} + 6q^{19} - 6q^{21} + 18q^{22} + 4q^{24} + 12q^{25} + 28q^{27} + 6q^{28} - 12q^{32} - 22q^{33} - 12q^{34} + 2q^{36} + 6q^{38} + 40q^{39} + 6q^{41} - 6q^{42} - 22q^{43} - 18q^{44} + 8q^{45} + 12q^{47} - 2q^{48} + 12q^{49} - 24q^{50} - 20q^{51} - 18q^{52} + 8q^{53} + 4q^{54} - 12q^{56} + 26q^{59} + 22q^{61} - 18q^{62} + 6q^{63} + 24q^{64} + 8q^{65} + 8q^{66} - 48q^{67} - 64q^{69} + 24q^{71} - 4q^{72} - 8q^{73} + 30q^{74} + 2q^{75} - 12q^{76} - 38q^{78} + 18q^{79} - 12q^{81} + 6q^{82} + 12q^{84} - 22q^{86} - 24q^{87} + 28q^{89} + 8q^{90} + 18q^{91} + 2q^{93} - 2q^{96} + 6q^{97} - 6q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{6}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 0.866025i −0.353553 0.612372i
\(3\) 1.72438 0.162784i 0.995574 0.0939833i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) −1.00317 1.41197i −0.409541 0.576434i
\(7\) 3.36569 1.27211 0.636055 0.771644i \(-0.280565\pi\)
0.636055 + 0.771644i \(0.280565\pi\)
\(8\) 1.00000 0.353553
\(9\) 2.94700 0.561404i 0.982334 0.187135i
\(10\) −0.866025 0.500000i −0.273861 0.158114i
\(11\) 0.795353i 0.239808i 0.992785 + 0.119904i \(0.0382587\pi\)
−0.992785 + 0.119904i \(0.961741\pi\)
\(12\) −0.721217 + 1.57475i −0.208197 + 0.454592i
\(13\) 1.59822 + 0.922734i 0.443267 + 0.255920i 0.704982 0.709225i \(-0.250955\pi\)
−0.261715 + 0.965145i \(0.584288\pi\)
\(14\) −1.68284 2.91477i −0.449759 0.779005i
\(15\) 1.41197 1.00317i 0.364569 0.259017i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −6.17887 + 3.56737i −1.49860 + 0.865214i −0.999999 0.00161968i \(-0.999484\pi\)
−0.498597 + 0.866834i \(0.666151\pi\)
\(18\) −1.95969 2.27148i −0.461904 0.535392i
\(19\) −0.831025 + 4.27895i −0.190650 + 0.981658i
\(20\) 1.00000i 0.223607i
\(21\) 5.80374 0.547880i 1.26648 0.119557i
\(22\) 0.688796 0.397676i 0.146852 0.0847849i
\(23\) −1.72727 0.997241i −0.360161 0.207939i 0.308990 0.951065i \(-0.400009\pi\)
−0.669151 + 0.743126i \(0.733342\pi\)
\(24\) 1.72438 0.162784i 0.351988 0.0332281i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 1.84547i 0.361926i
\(27\) 4.99038 1.44780i 0.960399 0.278629i
\(28\) −1.68284 + 2.91477i −0.318028 + 0.550840i
\(29\) 1.95032 3.37805i 0.362165 0.627288i −0.626152 0.779701i \(-0.715371\pi\)
0.988317 + 0.152413i \(0.0487043\pi\)
\(30\) −1.57475 0.721217i −0.287509 0.131676i
\(31\) 8.28909i 1.48876i −0.667753 0.744382i \(-0.732744\pi\)
0.667753 0.744382i \(-0.267256\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) 0.129471 + 1.37149i 0.0225379 + 0.238746i
\(34\) 6.17887 + 3.56737i 1.05967 + 0.611799i
\(35\) 2.91477 1.68284i 0.492686 0.284452i
\(36\) −0.987311 + 2.83288i −0.164552 + 0.472147i
\(37\) 3.63511i 0.597608i 0.954314 + 0.298804i \(0.0965877\pi\)
−0.954314 + 0.298804i \(0.903412\pi\)
\(38\) 4.12119 1.41979i 0.668545 0.230320i
\(39\) 2.90616 + 1.33098i 0.465357 + 0.213128i
\(40\) 0.866025 0.500000i 0.136931 0.0790569i
\(41\) −2.08497 3.61128i −0.325618 0.563987i 0.656019 0.754744i \(-0.272239\pi\)
−0.981637 + 0.190757i \(0.938906\pi\)
\(42\) −3.37635 4.75224i −0.520982 0.733287i
\(43\) −1.75379 3.03766i −0.267451 0.463238i 0.700752 0.713405i \(-0.252848\pi\)
−0.968203 + 0.250167i \(0.919515\pi\)
\(44\) −0.688796 0.397676i −0.103840 0.0599520i
\(45\) 2.27148 1.95969i 0.338612 0.292134i
\(46\) 1.99448i 0.294070i
\(47\) −3.13074 1.80753i −0.456665 0.263656i 0.253976 0.967211i \(-0.418262\pi\)
−0.710641 + 0.703555i \(0.751595\pi\)
\(48\) −1.00317 1.41197i −0.144795 0.203800i
\(49\) 4.32785 0.618264
\(50\) −1.00000 −0.141421
\(51\) −10.0740 + 7.15734i −1.41065 + 1.00223i
\(52\) −1.59822 + 0.922734i −0.221634 + 0.127960i
\(53\) 3.21210 5.56351i 0.441215 0.764207i −0.556565 0.830804i \(-0.687881\pi\)
0.997780 + 0.0665970i \(0.0212142\pi\)
\(54\) −3.74902 3.59789i −0.510177 0.489611i
\(55\) 0.397676 + 0.688796i 0.0536227 + 0.0928772i
\(56\) 3.36569 0.449759
\(57\) −0.736463 + 7.51383i −0.0975469 + 0.995231i
\(58\) −3.90064 −0.512179
\(59\) 4.40416 + 7.62824i 0.573373 + 0.993112i 0.996216 + 0.0869089i \(0.0276989\pi\)
−0.422843 + 0.906203i \(0.638968\pi\)
\(60\) 0.162784 + 1.72438i 0.0210153 + 0.222617i
\(61\) −3.34905 + 5.80073i −0.428802 + 0.742707i −0.996767 0.0803454i \(-0.974398\pi\)
0.567965 + 0.823053i \(0.307731\pi\)
\(62\) −7.17856 + 4.14455i −0.911679 + 0.526358i
\(63\) 9.91869 1.88951i 1.24964 0.238056i
\(64\) 1.00000 0.125000
\(65\) 1.84547 0.228902
\(66\) 1.12301 0.797872i 0.138233 0.0982112i
\(67\) −3.16763 1.82883i −0.386987 0.223427i 0.293867 0.955846i \(-0.405058\pi\)
−0.680854 + 0.732419i \(0.738391\pi\)
\(68\) 7.13474i 0.865214i
\(69\) −3.14081 1.43845i −0.378110 0.173170i
\(70\) −2.91477 1.68284i −0.348382 0.201138i
\(71\) 0.800066 + 1.38576i 0.0949504 + 0.164459i 0.909588 0.415512i \(-0.136397\pi\)
−0.814637 + 0.579970i \(0.803064\pi\)
\(72\) 2.94700 0.561404i 0.347308 0.0661621i
\(73\) −7.05458 12.2189i −0.825676 1.43011i −0.901402 0.432984i \(-0.857461\pi\)
0.0757258 0.997129i \(-0.475873\pi\)
\(74\) 3.14810 1.81755i 0.365959 0.211286i
\(75\) 0.721217 1.57475i 0.0832790 0.181837i
\(76\) −3.29017 2.85916i −0.377408 0.327968i
\(77\) 2.67691i 0.305062i
\(78\) −0.300413 3.18230i −0.0340150 0.360324i
\(79\) −10.3514 + 5.97636i −1.16462 + 0.672394i −0.952407 0.304830i \(-0.901400\pi\)
−0.212213 + 0.977223i \(0.568067\pi\)
\(80\) −0.866025 0.500000i −0.0968246 0.0559017i
\(81\) 8.36965 3.30892i 0.929961 0.367658i
\(82\) −2.08497 + 3.61128i −0.230247 + 0.398799i
\(83\) 13.9932i 1.53595i −0.640479 0.767976i \(-0.721264\pi\)
0.640479 0.767976i \(-0.278736\pi\)
\(84\) −2.42739 + 5.30012i −0.264850 + 0.578291i
\(85\) −3.56737 + 6.17887i −0.386936 + 0.670192i
\(86\) −1.75379 + 3.03766i −0.189116 + 0.327559i
\(87\) 2.81321 6.14254i 0.301607 0.658549i
\(88\) 0.795353i 0.0847849i
\(89\) −1.83681 + 3.18145i −0.194701 + 0.337233i −0.946803 0.321815i \(-0.895707\pi\)
0.752101 + 0.659048i \(0.229040\pi\)
\(90\) −2.83288 0.987311i −0.298612 0.104072i
\(91\) 5.37912 + 3.10563i 0.563885 + 0.325559i
\(92\) 1.72727 0.997241i 0.180080 0.103970i
\(93\) −1.34933 14.2936i −0.139919 1.48218i
\(94\) 3.61507i 0.372866i
\(95\) 1.41979 + 4.12119i 0.145667 + 0.422825i
\(96\) −0.721217 + 1.57475i −0.0736089 + 0.160723i
\(97\) −15.9344 + 9.19973i −1.61789 + 0.934092i −0.630430 + 0.776246i \(0.717121\pi\)
−0.987464 + 0.157846i \(0.949545\pi\)
\(98\) −2.16392 3.74803i −0.218589 0.378608i
\(99\) 0.446514 + 2.34391i 0.0448764 + 0.235572i
\(100\) 0.500000 + 0.866025i 0.0500000 + 0.0866025i
\(101\) 1.03574 + 0.597984i 0.103060 + 0.0595017i 0.550644 0.834740i \(-0.314382\pi\)
−0.447584 + 0.894242i \(0.647716\pi\)
\(102\) 11.2355 + 5.14570i 1.11248 + 0.509500i
\(103\) 2.19200i 0.215984i 0.994152 + 0.107992i \(0.0344421\pi\)
−0.994152 + 0.107992i \(0.965558\pi\)
\(104\) 1.59822 + 0.922734i 0.156719 + 0.0904815i
\(105\) 4.75224 3.37635i 0.463772 0.329498i
\(106\) −6.42419 −0.623973
\(107\) −1.07225 −0.103659 −0.0518293 0.998656i \(-0.516505\pi\)
−0.0518293 + 0.998656i \(0.516505\pi\)
\(108\) −1.24136 + 5.04569i −0.119450 + 0.485522i
\(109\) 0.897440 0.518137i 0.0859592 0.0496285i −0.456404 0.889773i \(-0.650863\pi\)
0.542363 + 0.840144i \(0.317530\pi\)
\(110\) 0.397676 0.688796i 0.0379170 0.0656741i
\(111\) 0.591737 + 6.26833i 0.0561652 + 0.594963i
\(112\) −1.68284 2.91477i −0.159014 0.275420i
\(113\) 11.7127 1.10183 0.550917 0.834560i \(-0.314278\pi\)
0.550917 + 0.834560i \(0.314278\pi\)
\(114\) 6.87540 3.11912i 0.643940 0.292132i
\(115\) −1.99448 −0.185986
\(116\) 1.95032 + 3.37805i 0.181083 + 0.313644i
\(117\) 5.22799 + 1.82205i 0.483328 + 0.168449i
\(118\) 4.40416 7.62824i 0.405436 0.702236i
\(119\) −20.7961 + 12.0067i −1.90638 + 1.10065i
\(120\) 1.41197 1.00317i 0.128895 0.0915762i
\(121\) 10.3674 0.942492
\(122\) 6.69811 0.606418
\(123\) −4.18315 5.88783i −0.377182 0.530888i
\(124\) 7.17856 + 4.14455i 0.644654 + 0.372191i
\(125\) 1.00000i 0.0894427i
\(126\) −6.59571 7.64508i −0.587592 0.681078i
\(127\) 3.29108 + 1.90011i 0.292036 + 0.168607i 0.638860 0.769323i \(-0.279406\pi\)
−0.346823 + 0.937930i \(0.612740\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) −3.51869 4.95260i −0.309803 0.436052i
\(130\) −0.922734 1.59822i −0.0809291 0.140173i
\(131\) −4.80319 + 2.77312i −0.419656 + 0.242289i −0.694930 0.719077i \(-0.744565\pi\)
0.275274 + 0.961366i \(0.411231\pi\)
\(132\) −1.25248 0.573622i −0.109015 0.0499274i
\(133\) −2.79697 + 14.4016i −0.242528 + 1.24878i
\(134\) 3.65766i 0.315974i
\(135\) 3.59789 3.74902i 0.309657 0.322664i
\(136\) −6.17887 + 3.56737i −0.529833 + 0.305899i
\(137\) 17.2616 + 9.96597i 1.47475 + 0.851450i 0.999595 0.0284500i \(-0.00905713\pi\)
0.475159 + 0.879900i \(0.342390\pi\)
\(138\) 0.324669 + 3.43925i 0.0276377 + 0.292769i
\(139\) −5.17049 + 8.95556i −0.438556 + 0.759600i −0.997578 0.0695518i \(-0.977843\pi\)
0.559023 + 0.829152i \(0.311176\pi\)
\(140\) 3.36569i 0.284452i
\(141\) −5.69284 2.60725i −0.479423 0.219570i
\(142\) 0.800066 1.38576i 0.0671401 0.116290i
\(143\) −0.733899 + 1.27115i −0.0613717 + 0.106299i
\(144\) −1.95969 2.27148i −0.163308 0.189290i
\(145\) 3.90064i 0.323930i
\(146\) −7.05458 + 12.2189i −0.583841 + 1.01124i
\(147\) 7.46288 0.704504i 0.615528 0.0581065i
\(148\) −3.14810 1.81755i −0.258772 0.149402i
\(149\) −7.24356 + 4.18207i −0.593415 + 0.342608i −0.766447 0.642308i \(-0.777977\pi\)
0.173031 + 0.984916i \(0.444644\pi\)
\(150\) −1.72438 + 0.162784i −0.140795 + 0.0132912i
\(151\) 22.3534i 1.81909i 0.415601 + 0.909547i \(0.363571\pi\)
−0.415601 + 0.909547i \(0.636429\pi\)
\(152\) −0.831025 + 4.27895i −0.0674050 + 0.347069i
\(153\) −16.2064 + 13.9819i −1.31021 + 1.13037i
\(154\) 2.31827 1.33845i 0.186812 0.107856i
\(155\) −4.14455 7.17856i −0.332898 0.576596i
\(156\) −2.60574 + 1.85131i −0.208626 + 0.148224i
\(157\) −9.07185 15.7129i −0.724013 1.25403i −0.959379 0.282120i \(-0.908962\pi\)
0.235367 0.971907i \(-0.424371\pi\)
\(158\) 10.3514 + 5.97636i 0.823511 + 0.475454i
\(159\) 4.63324 10.1165i 0.367440 0.802292i
\(160\) 1.00000i 0.0790569i
\(161\) −5.81345 3.35640i −0.458164 0.264521i
\(162\) −7.05043 5.59387i −0.553934 0.439496i
\(163\) −18.5170 −1.45037 −0.725184 0.688556i \(-0.758245\pi\)
−0.725184 + 0.688556i \(0.758245\pi\)
\(164\) 4.16994 0.325618
\(165\) 0.797872 + 1.12301i 0.0621142 + 0.0874265i
\(166\) −12.1185 + 6.99659i −0.940575 + 0.543041i
\(167\) −9.91145 + 17.1671i −0.766971 + 1.32843i 0.172227 + 0.985057i \(0.444904\pi\)
−0.939198 + 0.343376i \(0.888430\pi\)
\(168\) 5.80374 0.547880i 0.447768 0.0422698i
\(169\) −4.79712 8.30886i −0.369009 0.639143i
\(170\) 7.13474 0.547210
\(171\) −0.0468143 + 13.0766i −0.00357998 + 0.999994i
\(172\) 3.50758 0.267451
\(173\) −3.72918 6.45913i −0.283524 0.491079i 0.688726 0.725022i \(-0.258170\pi\)
−0.972250 + 0.233943i \(0.924837\pi\)
\(174\) −6.72620 + 0.634961i −0.509912 + 0.0481363i
\(175\) 1.68284 2.91477i 0.127211 0.220336i
\(176\) 0.688796 0.397676i 0.0519199 0.0299760i
\(177\) 8.83623 + 12.4371i 0.664172 + 0.934829i
\(178\) 3.67362 0.275349
\(179\) −0.307151 −0.0229575 −0.0114788 0.999934i \(-0.503654\pi\)
−0.0114788 + 0.999934i \(0.503654\pi\)
\(180\) 0.561404 + 2.94700i 0.0418446 + 0.219657i
\(181\) 11.6567 + 6.72999i 0.866435 + 0.500236i 0.866162 0.499763i \(-0.166580\pi\)
0.000273100 1.00000i \(0.499913\pi\)
\(182\) 6.21127i 0.460410i
\(183\) −4.83079 + 10.5479i −0.357102 + 0.779720i
\(184\) −1.72727 0.997241i −0.127336 0.0735176i
\(185\) 1.81755 + 3.14810i 0.133629 + 0.231453i
\(186\) −11.7039 + 8.31535i −0.858174 + 0.609711i
\(187\) −2.83732 4.91438i −0.207485 0.359375i
\(188\) 3.13074 1.80753i 0.228333 0.131828i
\(189\) 16.7961 4.87284i 1.22173 0.354447i
\(190\) 2.85916 3.29017i 0.207425 0.238694i
\(191\) 20.3011i 1.46893i 0.678644 + 0.734467i \(0.262568\pi\)
−0.678644 + 0.734467i \(0.737432\pi\)
\(192\) 1.72438 0.162784i 0.124447 0.0117479i
\(193\) −4.00713 + 2.31352i −0.288439 + 0.166531i −0.637238 0.770667i \(-0.719923\pi\)
0.348798 + 0.937198i \(0.386590\pi\)
\(194\) 15.9344 + 9.19973i 1.14402 + 0.660502i
\(195\) 3.18230 0.300413i 0.227889 0.0215130i
\(196\) −2.16392 + 3.74803i −0.154566 + 0.267716i
\(197\) 17.5153i 1.24791i −0.781460 0.623956i \(-0.785524\pi\)
0.781460 0.623956i \(-0.214476\pi\)
\(198\) 1.80663 1.55865i 0.128391 0.110768i
\(199\) −0.637900 + 1.10487i −0.0452195 + 0.0783225i −0.887749 0.460327i \(-0.847732\pi\)
0.842530 + 0.538650i \(0.181065\pi\)
\(200\) 0.500000 0.866025i 0.0353553 0.0612372i
\(201\) −5.75991 2.63797i −0.406273 0.186068i
\(202\) 1.19597i 0.0841481i
\(203\) 6.56416 11.3695i 0.460714 0.797980i
\(204\) −1.16142 12.3030i −0.0813157 0.861385i
\(205\) −3.61128 2.08497i −0.252223 0.145621i
\(206\) 1.89833 1.09600i 0.132263 0.0763620i
\(207\) −5.65013 1.96917i −0.392711 0.136867i
\(208\) 1.84547i 0.127960i
\(209\) −3.40327 0.660958i −0.235409 0.0457194i
\(210\) −5.30012 2.42739i −0.365743 0.167506i
\(211\) 23.3524 13.4825i 1.60765 0.928177i 0.617754 0.786371i \(-0.288043\pi\)
0.989895 0.141805i \(-0.0452907\pi\)
\(212\) 3.21210 + 5.56351i 0.220608 + 0.382104i
\(213\) 1.60520 + 2.25934i 0.109987 + 0.154807i
\(214\) 0.536127 + 0.928599i 0.0366489 + 0.0634777i
\(215\) −3.03766 1.75379i −0.207166 0.119608i
\(216\) 4.99038 1.44780i 0.339552 0.0985104i
\(217\) 27.8985i 1.89387i
\(218\) −0.897440 0.518137i −0.0607823 0.0350927i
\(219\) −14.1538 19.9217i −0.956428 1.34618i
\(220\) −0.795353 −0.0536227
\(221\) −13.1669 −0.885704
\(222\) 5.13266 3.64662i 0.344482 0.244745i
\(223\) 19.3951 11.1978i 1.29879 0.749857i 0.318595 0.947891i \(-0.396789\pi\)
0.980195 + 0.198034i \(0.0634557\pi\)
\(224\) −1.68284 + 2.91477i −0.112440 + 0.194751i
\(225\) 0.987311 2.83288i 0.0658208 0.188859i
\(226\) −5.85633 10.1435i −0.389557 0.674733i
\(227\) −17.4096 −1.15552 −0.577758 0.816208i \(-0.696072\pi\)
−0.577758 + 0.816208i \(0.696072\pi\)
\(228\) −6.13894 4.39471i −0.406561 0.291047i
\(229\) 1.93992 0.128193 0.0640966 0.997944i \(-0.479583\pi\)
0.0640966 + 0.997944i \(0.479583\pi\)
\(230\) 0.997241 + 1.72727i 0.0657561 + 0.113893i
\(231\) 0.435758 + 4.61602i 0.0286707 + 0.303712i
\(232\) 1.95032 3.37805i 0.128045 0.221780i
\(233\) 2.14005 1.23556i 0.140199 0.0809440i −0.428260 0.903656i \(-0.640873\pi\)
0.568459 + 0.822712i \(0.307540\pi\)
\(234\) −1.03605 5.43860i −0.0677289 0.355532i
\(235\) −3.61507 −0.235821
\(236\) −8.80833 −0.573373
\(237\) −16.8769 + 11.9906i −1.09627 + 0.778872i
\(238\) 20.7961 + 12.0067i 1.34801 + 0.778276i
\(239\) 13.1953i 0.853534i 0.904362 + 0.426767i \(0.140348\pi\)
−0.904362 + 0.426767i \(0.859652\pi\)
\(240\) −1.57475 0.721217i −0.101650 0.0465544i
\(241\) 23.5846 + 13.6166i 1.51922 + 0.877122i 0.999744 + 0.0226375i \(0.00720636\pi\)
0.519477 + 0.854485i \(0.326127\pi\)
\(242\) −5.18371 8.97844i −0.333221 0.577156i
\(243\) 13.8939 7.06829i 0.891291 0.453431i
\(244\) −3.34905 5.80073i −0.214401 0.371354i
\(245\) 3.74803 2.16392i 0.239453 0.138248i
\(246\) −3.00744 + 6.56663i −0.191747 + 0.418673i
\(247\) −5.27649 + 6.07190i −0.335735 + 0.386345i
\(248\) 8.28909i 0.526358i
\(249\) −2.27787 24.1296i −0.144354 1.52915i
\(250\) −0.866025 + 0.500000i −0.0547723 + 0.0316228i
\(251\) −18.6598 10.7733i −1.17780 0.680002i −0.222294 0.974980i \(-0.571354\pi\)
−0.955504 + 0.294978i \(0.904688\pi\)
\(252\) −3.32298 + 9.53459i −0.209328 + 0.600623i
\(253\) 0.793158 1.37379i 0.0498654 0.0863694i
\(254\) 3.80022i 0.238447i
\(255\) −5.14570 + 11.2355i −0.322236 + 0.703591i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 14.4617 25.0484i 0.902096 1.56248i 0.0773283 0.997006i \(-0.475361\pi\)
0.824768 0.565471i \(-0.191306\pi\)
\(258\) −2.52973 + 5.52357i −0.157494 + 0.343883i
\(259\) 12.2346i 0.760224i
\(260\) −0.922734 + 1.59822i −0.0572255 + 0.0991175i
\(261\) 3.85114 11.0500i 0.238380 0.683980i
\(262\) 4.80319 + 2.77312i 0.296742 + 0.171324i
\(263\) −13.9401 + 8.04833i −0.859585 + 0.496281i −0.863873 0.503709i \(-0.831968\pi\)
0.00428849 + 0.999991i \(0.498635\pi\)
\(264\) 0.129471 + 1.37149i 0.00796837 + 0.0844096i
\(265\) 6.42419i 0.394635i
\(266\) 13.8706 4.77855i 0.850463 0.292992i
\(267\) −2.64948 + 5.78504i −0.162145 + 0.354039i
\(268\) 3.16763 1.82883i 0.193494 0.111714i
\(269\) 7.78283 + 13.4803i 0.474528 + 0.821906i 0.999575 0.0291674i \(-0.00928560\pi\)
−0.525047 + 0.851073i \(0.675952\pi\)
\(270\) −5.04569 1.24136i −0.307071 0.0755466i
\(271\) 1.20476 + 2.08670i 0.0731839 + 0.126758i 0.900295 0.435280i \(-0.143351\pi\)
−0.827111 + 0.562038i \(0.810017\pi\)
\(272\) 6.17887 + 3.56737i 0.374649 + 0.216304i
\(273\) 9.78121 + 4.47967i 0.591986 + 0.271122i
\(274\) 19.9319i 1.20413i
\(275\) 0.688796 + 0.397676i 0.0415359 + 0.0239808i
\(276\) 2.81615 2.00080i 0.169512 0.120434i
\(277\) 30.7890 1.84993 0.924965 0.380052i \(-0.124094\pi\)
0.924965 + 0.380052i \(0.124094\pi\)
\(278\) 10.3410 0.620211
\(279\) −4.65353 24.4280i −0.278600 1.46246i
\(280\) 2.91477 1.68284i 0.174191 0.100569i
\(281\) 12.6678 21.9413i 0.755698 1.30891i −0.189329 0.981914i \(-0.560631\pi\)
0.945027 0.326993i \(-0.106035\pi\)
\(282\) 0.588475 + 6.23377i 0.0350432 + 0.371215i
\(283\) 4.10956 + 7.11797i 0.244288 + 0.423119i 0.961931 0.273292i \(-0.0881124\pi\)
−0.717643 + 0.696411i \(0.754779\pi\)
\(284\) −1.60013 −0.0949504
\(285\) 3.11912 + 6.87540i 0.184761 + 0.407263i
\(286\) 1.46780 0.0867927
\(287\) −7.01736 12.1544i −0.414222 0.717453i
\(288\) −0.987311 + 2.83288i −0.0581779 + 0.166929i
\(289\) 16.9523 29.3622i 0.997192 1.72719i
\(290\) −3.37805 + 1.95032i −0.198366 + 0.114527i
\(291\) −25.9795 + 18.4577i −1.52294 + 1.08201i
\(292\) 14.1092 0.825676
\(293\) 24.4468 1.42820 0.714099 0.700045i \(-0.246837\pi\)
0.714099 + 0.700045i \(0.246837\pi\)
\(294\) −4.34156 6.11079i −0.253205 0.356388i
\(295\) 7.62824 + 4.40416i 0.444133 + 0.256420i
\(296\) 3.63511i 0.211286i
\(297\) 1.15151 + 3.96911i 0.0668175 + 0.230311i
\(298\) 7.24356 + 4.18207i 0.419608 + 0.242261i
\(299\) −1.84038 3.18762i −0.106432 0.184345i
\(300\) 1.00317 + 1.41197i 0.0579179 + 0.0815201i
\(301\) −5.90271 10.2238i −0.340227 0.589290i
\(302\) 19.3586 11.1767i 1.11396 0.643147i
\(303\) 1.88335 + 0.862553i 0.108196 + 0.0495524i
\(304\) 4.12119 1.41979i 0.236366 0.0814303i
\(305\) 6.69811i 0.383532i
\(306\) 20.2119 + 7.04421i 1.15544 + 0.402691i
\(307\) −9.65029 + 5.57160i −0.550771 + 0.317988i −0.749433 0.662080i \(-0.769674\pi\)
0.198662 + 0.980068i \(0.436340\pi\)
\(308\) −2.31827 1.33845i −0.132096 0.0762655i
\(309\) 0.356823 + 3.77985i 0.0202989 + 0.215028i
\(310\) −4.14455 + 7.17856i −0.235394 + 0.407715i
\(311\) 24.4400i 1.38587i −0.721002 0.692933i \(-0.756318\pi\)
0.721002 0.692933i \(-0.243682\pi\)
\(312\) 2.90616 + 1.33098i 0.164529 + 0.0753521i
\(313\) −1.06464 + 1.84401i −0.0601771 + 0.104230i −0.894544 0.446979i \(-0.852500\pi\)
0.834367 + 0.551209i \(0.185833\pi\)
\(314\) −9.07185 + 15.7129i −0.511954 + 0.886731i
\(315\) 7.64508 6.59571i 0.430752 0.371626i
\(316\) 11.9527i 0.672394i
\(317\) −3.03351 + 5.25419i −0.170379 + 0.295105i −0.938552 0.345137i \(-0.887832\pi\)
0.768173 + 0.640242i \(0.221166\pi\)
\(318\) −11.0778 + 1.04575i −0.621211 + 0.0586430i
\(319\) 2.68674 + 1.55119i 0.150429 + 0.0868500i
\(320\) 0.866025 0.500000i 0.0484123 0.0279508i
\(321\) −1.84898 + 0.174546i −0.103200 + 0.00974219i
\(322\) 6.71280i 0.374090i
\(323\) −10.1298 29.4036i −0.563637 1.63606i
\(324\) −1.31922 + 8.90279i −0.0732899 + 0.494599i
\(325\) 1.59822 0.922734i 0.0886534 0.0511841i
\(326\) 9.25852 + 16.0362i 0.512782 + 0.888165i
\(327\) 1.46319 1.03956i 0.0809144 0.0574876i
\(328\) −2.08497 3.61128i −0.115123 0.199399i
\(329\) −10.5371 6.08359i −0.580929 0.335399i
\(330\) 0.573622 1.25248i 0.0315769 0.0689470i
\(331\) 7.63334i 0.419566i −0.977748 0.209783i \(-0.932724\pi\)
0.977748 0.209783i \(-0.0672758\pi\)
\(332\) 12.1185 + 6.99659i 0.665087 + 0.383988i
\(333\) 2.04077 + 10.7127i 0.111833 + 0.587051i
\(334\) 19.8229 1.08466
\(335\) −3.65766 −0.199839
\(336\) −3.37635 4.75224i −0.184195 0.259256i
\(337\) −4.98568 + 2.87848i −0.271587 + 0.156801i −0.629609 0.776912i \(-0.716785\pi\)
0.358022 + 0.933713i \(0.383451\pi\)
\(338\) −4.79712 + 8.30886i −0.260929 + 0.451942i
\(339\) 20.1971 1.90663i 1.09696 0.103554i
\(340\) −3.56737 6.17887i −0.193468 0.335096i
\(341\) 6.59275 0.357018
\(342\) 11.3481 6.49776i 0.613634 0.351359i
\(343\) −8.99362 −0.485610
\(344\) −1.75379 3.03766i −0.0945581 0.163779i
\(345\) −3.43925 + 0.324669i −0.185163 + 0.0174796i
\(346\) −3.72918 + 6.45913i −0.200482 + 0.347245i
\(347\) −16.8904 + 9.75166i −0.906723 + 0.523497i −0.879375 0.476129i \(-0.842039\pi\)
−0.0273475 + 0.999626i \(0.508706\pi\)
\(348\) 3.91299 + 5.50758i 0.209758 + 0.295237i
\(349\) −0.423234 −0.0226552 −0.0113276 0.999936i \(-0.503606\pi\)
−0.0113276 + 0.999936i \(0.503606\pi\)
\(350\) −3.36569 −0.179904
\(351\) 9.31167 + 2.29088i 0.497020 + 0.122278i
\(352\) −0.688796 0.397676i −0.0367129 0.0211962i
\(353\) 24.0186i 1.27838i −0.769049 0.639190i \(-0.779270\pi\)
0.769049 0.639190i \(-0.220730\pi\)
\(354\) 6.35272 13.8709i 0.337643 0.737232i
\(355\) 1.38576 + 0.800066i 0.0735483 + 0.0424631i
\(356\) −1.83681 3.18145i −0.0973507 0.168616i
\(357\) −33.9060 + 24.0894i −1.79450 + 1.27494i
\(358\) 0.153575 + 0.266000i 0.00811671 + 0.0140586i
\(359\) −9.83401 + 5.67767i −0.519019 + 0.299656i −0.736533 0.676401i \(-0.763539\pi\)
0.217514 + 0.976057i \(0.430205\pi\)
\(360\) 2.27148 1.95969i 0.119717 0.103285i
\(361\) −17.6188 7.11183i −0.927305 0.374307i
\(362\) 13.4600i 0.707441i
\(363\) 17.8774 1.68765i 0.938320 0.0885785i
\(364\) −5.37912 + 3.10563i −0.281942 + 0.162779i
\(365\) −12.2189 7.05458i −0.639566 0.369253i
\(366\) 11.5501 1.09034i 0.603734 0.0569932i
\(367\) −4.59216 + 7.95386i −0.239709 + 0.415188i −0.960631 0.277828i \(-0.910385\pi\)
0.720922 + 0.693016i \(0.243719\pi\)
\(368\) 1.99448i 0.103970i
\(369\) −8.17180 9.47193i −0.425407 0.493089i
\(370\) 1.81755 3.14810i 0.0944902 0.163662i
\(371\) 10.8109 18.7250i 0.561274 0.972156i
\(372\) 13.0533 + 5.97824i 0.676781 + 0.309957i
\(373\) 26.2996i 1.36174i 0.732404 + 0.680870i \(0.238398\pi\)
−0.732404 + 0.680870i \(0.761602\pi\)
\(374\) −2.83732 + 4.91438i −0.146714 + 0.254116i
\(375\) −0.162784 1.72438i −0.00840612 0.0890468i
\(376\) −3.13074 1.80753i −0.161456 0.0932164i
\(377\) 6.23409 3.59925i 0.321072 0.185371i
\(378\) −12.6180 12.1094i −0.649002 0.622840i
\(379\) 9.26609i 0.475967i −0.971269 0.237984i \(-0.923514\pi\)
0.971269 0.237984i \(-0.0764864\pi\)
\(380\) −4.27895 0.831025i −0.219505 0.0426307i
\(381\) 5.98440 + 2.74078i 0.306590 + 0.140414i
\(382\) 17.5813 10.1505i 0.899535 0.519347i
\(383\) 11.1774 + 19.3598i 0.571137 + 0.989238i 0.996450 + 0.0841912i \(0.0268307\pi\)
−0.425313 + 0.905046i \(0.639836\pi\)
\(384\) −1.00317 1.41197i −0.0511927 0.0720542i
\(385\) 1.33845 + 2.31827i 0.0682139 + 0.118150i
\(386\) 4.00713 + 2.31352i 0.203957 + 0.117755i
\(387\) −6.87378 7.96739i −0.349414 0.405005i
\(388\) 18.3995i 0.934092i
\(389\) −2.10271 1.21400i −0.106612 0.0615522i 0.445746 0.895159i \(-0.352938\pi\)
−0.552358 + 0.833607i \(0.686272\pi\)
\(390\) −1.85131 2.60574i −0.0937449 0.131947i
\(391\) 14.2301 0.719647
\(392\) 4.32785 0.218589
\(393\) −7.83112 + 5.56381i −0.395028 + 0.280657i
\(394\) −15.1687 + 8.75764i −0.764187 + 0.441203i
\(395\) −5.97636 + 10.3514i −0.300704 + 0.520834i
\(396\) −2.25314 0.785261i −0.113225 0.0394608i
\(397\) −13.4569 23.3080i −0.675383 1.16980i −0.976357 0.216165i \(-0.930645\pi\)
0.300974 0.953632i \(-0.402688\pi\)
\(398\) 1.27580 0.0639500
\(399\) −2.47870 + 25.2892i −0.124090 + 1.26604i
\(400\) −1.00000 −0.0500000
\(401\) 5.27439 + 9.13551i 0.263390 + 0.456206i 0.967141 0.254242i \(-0.0818259\pi\)
−0.703750 + 0.710447i \(0.748493\pi\)
\(402\) 0.595408 + 6.30722i 0.0296963 + 0.314575i
\(403\) 7.64863 13.2478i 0.381005 0.659921i
\(404\) −1.03574 + 0.597984i −0.0515300 + 0.0297508i
\(405\) 5.59387 7.05043i 0.277962 0.350339i
\(406\) −13.1283 −0.651548
\(407\) −2.89119 −0.143311
\(408\) −10.0740 + 7.15734i −0.498739 + 0.354341i
\(409\) 15.0416 + 8.68429i 0.743761 + 0.429410i 0.823435 0.567410i \(-0.192055\pi\)
−0.0796743 + 0.996821i \(0.525388\pi\)
\(410\) 4.16994i 0.205939i
\(411\) 31.3879 + 14.3753i 1.54825 + 0.709079i
\(412\) −1.89833 1.09600i −0.0935240 0.0539961i
\(413\) 14.8230 + 25.6743i 0.729394 + 1.26335i
\(414\) 1.11971 + 5.87774i 0.0550307 + 0.288875i
\(415\) −6.99659 12.1185i −0.343449 0.594872i
\(416\) −1.59822 + 0.922734i −0.0783593 + 0.0452408i
\(417\) −7.45810 + 16.2845i −0.365225 + 0.797455i
\(418\) 1.12923 + 3.27780i 0.0552325 + 0.160322i
\(419\) 29.5663i 1.44441i 0.691680 + 0.722204i \(0.256871\pi\)
−0.691680 + 0.722204i \(0.743129\pi\)
\(420\) 0.547880 + 5.80374i 0.0267338 + 0.283193i
\(421\) 2.75755 1.59207i 0.134395 0.0775930i −0.431295 0.902211i \(-0.641943\pi\)
0.565690 + 0.824618i \(0.308610\pi\)
\(422\) −23.3524 13.4825i −1.13678 0.656320i
\(423\) −10.2411 3.56920i −0.497937 0.173540i
\(424\) 3.21210 5.56351i 0.155993 0.270188i
\(425\) 7.13474i 0.346086i
\(426\) 1.15404 2.51981i 0.0559136 0.122085i
\(427\) −11.2719 + 19.5234i −0.545484 + 0.944806i
\(428\) 0.536127 0.928599i 0.0259147 0.0448855i
\(429\) −1.05860 + 2.31142i −0.0511098 + 0.111596i
\(430\) 3.50758i 0.169151i
\(431\) −12.6847 + 21.9705i −0.611000 + 1.05828i 0.380073 + 0.924957i \(0.375899\pi\)
−0.991072 + 0.133326i \(0.957434\pi\)
\(432\) −3.74902 3.59789i −0.180375 0.173104i
\(433\) −34.0276 19.6459i −1.63526 0.944120i −0.982433 0.186617i \(-0.940248\pi\)
−0.652832 0.757503i \(-0.726419\pi\)
\(434\) −24.1608 + 13.9492i −1.15976 + 0.669585i
\(435\) −0.634961 6.72620i −0.0304440 0.322496i
\(436\) 1.03627i 0.0496285i
\(437\) 5.70255 6.56217i 0.272790 0.313911i
\(438\) −10.1758 + 22.2184i −0.486217 + 1.06164i
\(439\) 9.49324 5.48093i 0.453088 0.261590i −0.256046 0.966665i \(-0.582420\pi\)
0.709133 + 0.705074i \(0.249086\pi\)
\(440\) 0.397676 + 0.688796i 0.0189585 + 0.0328370i
\(441\) 12.7542 2.42967i 0.607342 0.115699i
\(442\) 6.58347 + 11.4029i 0.313144 + 0.542381i
\(443\) −28.0730 16.2079i −1.33379 0.770062i −0.347909 0.937528i \(-0.613108\pi\)
−0.985878 + 0.167466i \(0.946442\pi\)
\(444\) −5.72440 2.62170i −0.271668 0.124421i
\(445\) 3.67362i 0.174146i
\(446\) −19.3951 11.1978i −0.918383 0.530229i
\(447\) −11.8099 + 8.39063i −0.558589 + 0.396863i
\(448\) 3.36569 0.159014
\(449\) 1.66858 0.0787453 0.0393727 0.999225i \(-0.487464\pi\)
0.0393727 + 0.999225i \(0.487464\pi\)
\(450\) −2.94700 + 0.561404i −0.138923 + 0.0264648i
\(451\) 2.87224 1.65829i 0.135248 0.0780857i
\(452\) −5.85633 + 10.1435i −0.275458 + 0.477108i
\(453\) 3.63877 + 38.5459i 0.170964 + 1.81104i
\(454\) 8.70480 + 15.0772i 0.408536 + 0.707606i
\(455\) 6.21127 0.291189
\(456\) −0.736463 + 7.51383i −0.0344880 + 0.351867i
\(457\) −14.4764 −0.677179 −0.338589 0.940934i \(-0.609950\pi\)
−0.338589 + 0.940934i \(0.609950\pi\)
\(458\) −0.969958 1.68002i −0.0453232 0.0785020i
\(459\) −25.6700 + 26.7483i −1.19817 + 1.24850i
\(460\) 0.997241 1.72727i 0.0464966 0.0805344i
\(461\) 25.3943 14.6614i 1.18273 0.682851i 0.226087 0.974107i \(-0.427407\pi\)
0.956645 + 0.291256i \(0.0940732\pi\)
\(462\) 3.77971 2.68539i 0.175848 0.124936i
\(463\) 41.3040 1.91956 0.959781 0.280751i \(-0.0905836\pi\)
0.959781 + 0.280751i \(0.0905836\pi\)
\(464\) −3.90064 −0.181083
\(465\) −8.31535 11.7039i −0.385615 0.542757i
\(466\) −2.14005 1.23556i −0.0991358 0.0572361i
\(467\) 13.2112i 0.611341i 0.952137 + 0.305671i \(0.0988806\pi\)
−0.952137 + 0.305671i \(0.901119\pi\)
\(468\) −4.19194 + 3.61655i −0.193772 + 0.167175i
\(469\) −10.6612 6.15527i −0.492291 0.284224i
\(470\) 1.80753 + 3.13074i 0.0833753 + 0.144410i
\(471\) −18.2012 25.6183i −0.838666 1.18043i
\(472\) 4.40416 + 7.62824i 0.202718 + 0.351118i
\(473\) 2.41601 1.39488i 0.111088 0.0641368i
\(474\) 18.8226 + 8.62051i 0.864550 + 0.395953i
\(475\) 3.29017 + 2.85916i 0.150963 + 0.131187i
\(476\) 24.0133i 1.10065i
\(477\) 6.34268 18.1990i 0.290411 0.833274i
\(478\) 11.4275 6.59766i 0.522681 0.301770i
\(479\) 29.9827 + 17.3105i 1.36995 + 0.790939i 0.990921 0.134448i \(-0.0429261\pi\)
0.379025 + 0.925386i \(0.376259\pi\)
\(480\) 0.162784 + 1.72438i 0.00743003 + 0.0787070i
\(481\) −3.35424 + 5.80971i −0.152940 + 0.264900i
\(482\) 27.2332i 1.24044i
\(483\) −10.5710 4.84139i −0.480997 0.220291i
\(484\) −5.18371 + 8.97844i −0.235623 + 0.408111i
\(485\) −9.19973 + 15.9344i −0.417738 + 0.723544i
\(486\) −13.0682 8.49829i −0.592788 0.385490i
\(487\) 20.7783i 0.941554i −0.882252 0.470777i \(-0.843974\pi\)
0.882252 0.470777i \(-0.156026\pi\)
\(488\) −3.34905 + 5.80073i −0.151605 + 0.262587i
\(489\) −31.9305 + 3.01428i −1.44395 + 0.136310i
\(490\) −3.74803 2.16392i −0.169319 0.0977562i
\(491\) 3.62316 2.09183i 0.163511 0.0944030i −0.416012 0.909359i \(-0.636572\pi\)
0.579522 + 0.814956i \(0.303239\pi\)
\(492\) 7.19059 0.678800i 0.324177 0.0306027i
\(493\) 27.8300i 1.25340i
\(494\) 7.89666 + 1.53363i 0.355288 + 0.0690013i
\(495\) 1.55865 + 1.80663i 0.0700559 + 0.0812018i
\(496\) −7.17856 + 4.14455i −0.322327 + 0.186096i
\(497\) 2.69277 + 4.66402i 0.120787 + 0.209210i
\(498\) −19.7579 + 14.0375i −0.885375 + 0.629036i
\(499\) 2.93329 + 5.08061i 0.131312 + 0.227439i 0.924183 0.381951i \(-0.124748\pi\)
−0.792871 + 0.609390i \(0.791414\pi\)
\(500\) 0.866025 + 0.500000i 0.0387298 + 0.0223607i
\(501\) −14.2966 + 31.2162i −0.638726 + 1.39464i
\(502\) 21.5465i 0.961668i
\(503\) −9.79822 5.65701i −0.436881 0.252233i 0.265393 0.964140i \(-0.414498\pi\)
−0.702274 + 0.711907i \(0.747832\pi\)
\(504\) 9.91869 1.88951i 0.441814 0.0841655i
\(505\) 1.19597 0.0532199
\(506\) −1.58632 −0.0705204
\(507\) −9.62463 13.5468i −0.427445 0.601633i
\(508\) −3.29108 + 1.90011i −0.146018 + 0.0843036i
\(509\) 10.8249 18.7493i 0.479806 0.831048i −0.519926 0.854211i \(-0.674040\pi\)
0.999732 + 0.0231634i \(0.00737381\pi\)
\(510\) 12.3030 1.16142i 0.544788 0.0514286i
\(511\) −23.7435 41.1249i −1.05035 1.81926i
\(512\) 1.00000 0.0441942
\(513\) 2.04794 + 22.5567i 0.0904186 + 0.995904i
\(514\) −28.9234 −1.27576
\(515\) 1.09600 + 1.89833i 0.0482956 + 0.0836504i
\(516\) 6.04842 0.570978i 0.266267 0.0251359i
\(517\) 1.43763 2.49004i 0.0632268 0.109512i
\(518\) 10.5955 6.11732i 0.465540 0.268780i
\(519\) −7.48198 10.5310i −0.328423 0.462259i
\(520\) 1.84547 0.0809291
\(521\) 31.4041 1.37584 0.687920 0.725787i \(-0.258524\pi\)
0.687920 + 0.725787i \(0.258524\pi\)
\(522\) −11.4952 + 2.18983i −0.503131 + 0.0958464i
\(523\) 9.94201 + 5.74002i 0.434734 + 0.250994i 0.701361 0.712806i \(-0.252576\pi\)
−0.266627 + 0.963800i \(0.585909\pi\)
\(524\) 5.54624i 0.242289i
\(525\) 2.42739 5.30012i 0.105940 0.231316i
\(526\) 13.9401 + 8.04833i 0.607818 + 0.350924i
\(527\) 29.5703 + 51.2172i 1.28810 + 2.23106i
\(528\) 1.12301 0.797872i 0.0488729 0.0347229i
\(529\) −9.51102 16.4736i −0.413523 0.716242i
\(530\) −5.56351 + 3.21210i −0.241664 + 0.139525i
\(531\) 17.2616 + 20.0079i 0.749090 + 0.868270i
\(532\) −11.0737 9.62305i −0.480104 0.417212i
\(533\) 7.69550i 0.333329i
\(534\) 6.33473 0.598006i 0.274131 0.0258782i
\(535\) −0.928599 + 0.536127i −0.0401468 + 0.0231788i
\(536\) −3.16763 1.82883i −0.136821 0.0789935i
\(537\) −0.529646 + 0.0499992i −0.0228559 + 0.00215762i
\(538\) 7.78283 13.4803i 0.335542 0.581175i
\(539\) 3.44217i 0.148265i
\(540\) 1.44780 + 4.99038i 0.0623034 + 0.214752i
\(541\) 15.6183 27.0516i 0.671482 1.16304i −0.306002 0.952031i \(-0.598991\pi\)
0.977484 0.211010i \(-0.0676752\pi\)
\(542\) 1.20476 2.08670i 0.0517488 0.0896316i
\(543\) 21.1962 + 9.70757i 0.909614 + 0.416592i
\(544\) 7.13474i 0.305899i
\(545\) 0.518137 0.897440i 0.0221946 0.0384421i
\(546\) −1.01109 10.7106i −0.0432708 0.458372i
\(547\) −6.49439 3.74954i −0.277680 0.160319i 0.354693 0.934983i \(-0.384586\pi\)
−0.632373 + 0.774664i \(0.717919\pi\)
\(548\) −17.2616 + 9.96597i −0.737377 + 0.425725i
\(549\) −6.61312 + 18.9749i −0.282241 + 0.809831i
\(550\) 0.795353i 0.0339140i
\(551\) 12.8337 + 11.1526i 0.546736 + 0.475115i
\(552\) −3.14081 1.43845i −0.133682 0.0612247i
\(553\) −34.8395 + 20.1146i −1.48152 + 0.855359i
\(554\) −15.3945 26.6640i −0.654049 1.13285i
\(555\) 3.64662 + 5.13266i 0.154791 + 0.217869i
\(556\) −5.17049 8.95556i −0.219278 0.379800i
\(557\) −9.64943 5.57110i −0.408860 0.236055i 0.281440 0.959579i \(-0.409188\pi\)
−0.690300 + 0.723524i \(0.742521\pi\)
\(558\) −18.8285 + 16.2441i −0.797073 + 0.687666i
\(559\) 6.47313i 0.273784i
\(560\) −2.91477 1.68284i −0.123172 0.0711131i
\(561\) −5.69261 8.01241i −0.240342 0.338284i
\(562\) −25.3356 −1.06872
\(563\) −25.6386 −1.08054 −0.540269 0.841492i \(-0.681677\pi\)
−0.540269 + 0.841492i \(0.681677\pi\)
\(564\) 5.10436 3.62652i 0.214932 0.152704i
\(565\) 10.1435 5.85633i 0.426738 0.246378i
\(566\) 4.10956 7.11797i 0.172738 0.299191i
\(567\) 28.1696 11.1368i 1.18301 0.467701i
\(568\) 0.800066 + 1.38576i 0.0335700 + 0.0581450i
\(569\) 36.2410 1.51930 0.759651 0.650331i \(-0.225370\pi\)
0.759651 + 0.650331i \(0.225370\pi\)
\(570\) 4.39471 6.13894i 0.184074 0.257132i
\(571\) 6.61731 0.276926 0.138463 0.990368i \(-0.455784\pi\)
0.138463 + 0.990368i \(0.455784\pi\)
\(572\) −0.733899 1.27115i −0.0306859 0.0531495i
\(573\) 3.30469 + 35.0069i 0.138055 + 1.46243i
\(574\) −7.01736 + 12.1544i −0.292899 + 0.507316i
\(575\) −1.72727 + 0.997241i −0.0720322 + 0.0415878i
\(576\) 2.94700 0.561404i 0.122792 0.0233918i
\(577\) 36.0337 1.50010 0.750051 0.661380i \(-0.230029\pi\)
0.750051 + 0.661380i \(0.230029\pi\)
\(578\) −33.9045 −1.41024
\(579\) −6.53323 + 4.64169i −0.271512 + 0.192902i
\(580\) 3.37805 + 1.95032i 0.140266 + 0.0809826i
\(581\) 47.0967i 1.95390i
\(582\) 28.9746 + 13.2700i 1.20104 + 0.550060i
\(583\) 4.42496 + 2.55475i 0.183263 + 0.105807i
\(584\) −7.05458 12.2189i −0.291920 0.505621i
\(585\) 5.43860 1.03605i 0.224858 0.0428355i
\(586\) −12.2234 21.1716i −0.504944 0.874589i
\(587\) 24.1606 13.9491i 0.997214 0.575742i 0.0897909 0.995961i \(-0.471380\pi\)
0.907423 + 0.420219i \(0.138047\pi\)
\(588\) −3.12132 + 6.81529i −0.128721 + 0.281058i
\(589\) 35.4686 + 6.88844i 1.46146 + 0.283833i
\(590\) 8.80833i 0.362633i
\(591\) −2.85120 30.2031i −0.117283 1.24239i
\(592\) 3.14810 1.81755i 0.129386 0.0747010i
\(593\) −12.3343 7.12119i −0.506508 0.292432i 0.224889 0.974384i \(-0.427798\pi\)
−0.731397 + 0.681952i \(0.761131\pi\)
\(594\) 2.86159 2.98179i 0.117413 0.122345i
\(595\) −12.0067 + 20.7961i −0.492225 + 0.852558i
\(596\) 8.36414i 0.342608i
\(597\) −0.920128 + 2.00907i −0.0376583 + 0.0822257i
\(598\) −1.84038 + 3.18762i −0.0752586 + 0.130352i
\(599\) −9.64054 + 16.6979i −0.393902 + 0.682258i −0.992960 0.118447i \(-0.962208\pi\)
0.599059 + 0.800705i \(0.295542\pi\)
\(600\) 0.721217 1.57475i 0.0294436 0.0642890i
\(601\) 41.5244i 1.69382i 0.531740 + 0.846908i \(0.321538\pi\)
−0.531740 + 0.846908i \(0.678462\pi\)
\(602\) −5.90271 + 10.2238i −0.240577 + 0.416691i
\(603\) −10.3617 3.61125i −0.421962 0.147062i
\(604\) −19.3586 11.1767i −0.787691 0.454773i
\(605\) 8.97844 5.18371i 0.365026 0.210748i
\(606\) −0.194684 2.06231i −0.00790852 0.0837756i
\(607\) 24.8694i 1.00942i 0.863290 + 0.504709i \(0.168400\pi\)
−0.863290 + 0.504709i \(0.831600\pi\)
\(608\) −3.29017 2.85916i −0.133434 0.115954i
\(609\) 9.46837 20.6739i 0.383678 0.837747i
\(610\) 5.80073 3.34905i 0.234865 0.135599i
\(611\) −3.33575 5.77768i −0.134950 0.233740i
\(612\) −4.00547 21.0261i −0.161912 0.849930i
\(613\) 3.40073 + 5.89023i 0.137354 + 0.237904i 0.926494 0.376309i \(-0.122807\pi\)
−0.789140 + 0.614213i \(0.789474\pi\)
\(614\) 9.65029 + 5.57160i 0.389454 + 0.224851i
\(615\) −6.56663 3.00744i −0.264792 0.121271i
\(616\) 2.67691i 0.107856i
\(617\) 4.62048 + 2.66763i 0.186013 + 0.107395i 0.590115 0.807319i \(-0.299082\pi\)
−0.404101 + 0.914714i \(0.632416\pi\)
\(618\) 3.09504 2.19894i 0.124501 0.0884545i
\(619\) 9.41765 0.378528 0.189264 0.981926i \(-0.439390\pi\)
0.189264 + 0.981926i \(0.439390\pi\)
\(620\) 8.28909 0.332898
\(621\) −10.0635 2.47586i −0.403836 0.0993529i
\(622\) −21.1657 + 12.2200i −0.848666 + 0.489977i
\(623\) −6.18212 + 10.7078i −0.247682 + 0.428997i
\(624\) −0.300413 3.18230i −0.0120261 0.127394i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 2.12928 0.0851033
\(627\) −5.97614 0.585748i −0.238664 0.0233925i
\(628\) 18.1437 0.724013
\(629\) −12.9678 22.4609i −0.517059 0.895573i
\(630\) −9.53459 3.32298i −0.379867 0.132391i
\(631\) 14.1067 24.4335i 0.561578 0.972682i −0.435781 0.900053i \(-0.643528\pi\)
0.997359 0.0726292i \(-0.0231390\pi\)
\(632\) −10.3514 + 5.97636i −0.411755 + 0.237727i
\(633\) 38.0739 27.0505i 1.51330 1.07516i
\(634\) 6.06702 0.240952
\(635\) 3.80022 0.150807
\(636\) 6.44454 + 9.07076i 0.255543 + 0.359679i
\(637\) 6.91687 + 3.99345i 0.274056 + 0.158226i
\(638\) 3.10238i 0.122825i
\(639\) 3.13577 + 3.63467i 0.124049 + 0.143785i
\(640\) −0.866025 0.500000i −0.0342327 0.0197642i
\(641\) 4.02668 + 6.97441i 0.159044 + 0.275473i 0.934524 0.355899i \(-0.115825\pi\)
−0.775480 + 0.631372i \(0.782492\pi\)
\(642\) 1.07565 + 1.51399i 0.0424525 + 0.0597524i
\(643\) −11.4346 19.8053i −0.450936 0.781044i 0.547509 0.836800i \(-0.315576\pi\)
−0.998444 + 0.0557564i \(0.982243\pi\)
\(644\) 5.81345 3.35640i 0.229082 0.132261i
\(645\) −5.52357 2.52973i −0.217491 0.0996080i
\(646\) −20.3994 + 23.4745i −0.802603 + 0.923591i
\(647\) 12.1854i 0.479056i −0.970889 0.239528i \(-0.923007\pi\)
0.970889 0.239528i \(-0.0769926\pi\)
\(648\) 8.36965 3.30892i 0.328791 0.129987i
\(649\) −6.06714 + 3.50286i −0.238156 + 0.137499i
\(650\) −1.59822 0.922734i −0.0626874 0.0361926i
\(651\) −4.54142 48.1077i −0.177992 1.88549i
\(652\) 9.25852 16.0362i 0.362592 0.628027i
\(653\) 46.1577i 1.80629i 0.429335 + 0.903145i \(0.358748\pi\)
−0.429335 + 0.903145i \(0.641252\pi\)
\(654\) −1.63188 0.747379i −0.0638114 0.0292248i
\(655\) −2.77312 + 4.80319i −0.108355 + 0.187676i
\(656\) −2.08497 + 3.61128i −0.0814045 + 0.140997i
\(657\) −27.6496 32.0486i −1.07871 1.25034i
\(658\) 12.1672i 0.474326i
\(659\) 7.15219 12.3880i 0.278610 0.482567i −0.692430 0.721485i \(-0.743460\pi\)
0.971040 + 0.238919i \(0.0767930\pi\)
\(660\) −1.37149 + 0.129471i −0.0533853 + 0.00503964i
\(661\) −10.1413 5.85511i −0.394452 0.227737i 0.289635 0.957137i \(-0.406466\pi\)
−0.684088 + 0.729400i \(0.739799\pi\)
\(662\) −6.61066 + 3.81667i −0.256931 + 0.148339i
\(663\) −22.7049 + 2.14337i −0.881784 + 0.0832414i
\(664\) 13.9932i 0.543041i
\(665\) 4.77855 + 13.8706i 0.185304 + 0.537880i
\(666\) 8.25707 7.12369i 0.319955 0.276038i
\(667\) −6.73746 + 3.88987i −0.260875 + 0.150617i
\(668\) −9.91145 17.1671i −0.383486 0.664217i
\(669\) 31.6217 22.4664i 1.22257 0.868602i
\(670\) 1.82883 + 3.16763i 0.0706539 + 0.122376i
\(671\) −4.61363 2.66368i −0.178107 0.102830i
\(672\) −2.42739 + 5.30012i −0.0936387 + 0.204457i
\(673\) 0.722505i 0.0278505i −0.999903 0.0139253i \(-0.995567\pi\)
0.999903 0.0139253i \(-0.00443269\pi\)
\(674\) 4.98568 + 2.87848i 0.192041 + 0.110875i
\(675\) 1.24136 5.04569i 0.0477798 0.194209i
\(676\) 9.59425 0.369009
\(677\) −13.7283 −0.527620 −0.263810 0.964575i \(-0.584979\pi\)
−0.263810 + 0.964575i \(0.584979\pi\)
\(678\) −11.7497 16.5379i −0.451246 0.635134i
\(679\) −53.6302 + 30.9634i −2.05814 + 1.18827i
\(680\) −3.56737 + 6.17887i −0.136802 + 0.236949i
\(681\) −30.0208 + 2.83400i −1.15040 + 0.108599i
\(682\) −3.29638 5.70949i −0.126225 0.218628i
\(683\) 27.2992 1.04457 0.522287 0.852770i \(-0.325079\pi\)
0.522287 + 0.852770i \(0.325079\pi\)
\(684\) −11.3013 6.57885i −0.432115 0.251549i
\(685\) 19.9319 0.761560
\(686\) 4.49681 + 7.78871i 0.171689 + 0.297374i
\(687\) 3.34516 0.315787i 0.127626 0.0120480i
\(688\) −1.75379 + 3.03766i −0.0668627 + 0.115810i
\(689\) 10.2673 5.92782i 0.391152 0.225832i
\(690\) 2.00080 + 2.81615i 0.0761691 + 0.107209i
\(691\) −7.97929 −0.303546 −0.151773 0.988415i \(-0.548498\pi\)
−0.151773 + 0.988415i \(0.548498\pi\)
\(692\) 7.45836 0.283524
\(693\) 1.50283 + 7.88886i 0.0570877 + 0.299673i
\(694\) 16.8904 + 9.75166i 0.641150 + 0.370168i
\(695\) 10.3410i 0.392256i
\(696\) 2.81321 6.14254i 0.106634 0.232832i
\(697\) 25.7655 + 14.8757i 0.975939 + 0.563459i
\(698\) 0.211617 + 0.366531i 0.00800982 + 0.0138734i
\(699\) 3.48914 2.47894i 0.131971 0.0937621i
\(700\) 1.68284 + 2.91477i 0.0636055 + 0.110168i
\(701\) −34.6741 + 20.0191i −1.30962 + 0.756111i −0.982033 0.188710i \(-0.939569\pi\)
−0.327589 + 0.944820i \(0.606236\pi\)
\(702\) −2.67187 9.20958i −0.100843 0.347593i
\(703\) −15.5544 3.02087i −0.586647 0.113934i
\(704\) 0.795353i 0.0299760i
\(705\) −6.23377 + 0.588475i −0.234777 + 0.0221632i
\(706\) −20.8007 + 12.0093i −0.782845 + 0.451976i
\(707\) 3.48597 + 2.01263i 0.131104 + 0.0756927i
\(708\) −15.1889 + 1.43385i −0.570836 + 0.0538875i
\(709\) −7.94313 + 13.7579i −0.298310 + 0.516689i −0.975750 0.218890i \(-0.929756\pi\)
0.677439 + 0.735579i \(0.263090\pi\)
\(710\) 1.60013i 0.0600519i
\(711\) −27.1504 + 23.4237i −1.01822 + 0.878456i
\(712\) −1.83681 + 3.18145i −0.0688373 + 0.119230i
\(713\) −8.26622 + 14.3175i −0.309572 + 0.536195i
\(714\) 37.8150 + 17.3188i 1.41519 + 0.648140i
\(715\) 1.46780i 0.0548925i
\(716\) 0.153575 0.266000i 0.00573938 0.00994090i
\(717\) 2.14799 + 22.7538i 0.0802180 + 0.849756i
\(718\) 9.83401 + 5.67767i 0.367002 + 0.211889i
\(719\) −10.7413 + 6.20149i −0.400583 + 0.231276i −0.686735 0.726908i \(-0.740957\pi\)
0.286153 + 0.958184i \(0.407624\pi\)
\(720\) −2.83288 0.987311i −0.105575 0.0367949i
\(721\) 7.37759i 0.274756i
\(722\) 2.65038 + 18.8142i 0.0986368 + 0.700193i
\(723\) 42.8855 + 19.6411i 1.59493 + 0.730459i
\(724\) −11.6567 + 6.72999i −0.433218 + 0.250118i
\(725\) −1.95032 3.37805i −0.0724330 0.125458i
\(726\) −10.4002 14.6385i −0.385989 0.543284i
\(727\) 10.0726 + 17.4462i 0.373571 + 0.647044i 0.990112 0.140279i \(-0.0447999\pi\)
−0.616541 + 0.787323i \(0.711467\pi\)
\(728\) 5.37912 + 3.10563i 0.199363 + 0.115102i
\(729\) 22.8077 14.4501i 0.844731 0.535191i
\(730\) 14.1092i 0.522203i
\(731\) 21.6729 + 12.5128i 0.801601 + 0.462804i
\(732\) −6.71932 9.45752i −0.248353 0.349560i
\(733\) −50.0396 −1.84826 −0.924128 0.382084i \(-0.875207\pi\)
−0.924128 + 0.382084i \(0.875207\pi\)
\(734\) 9.18432 0.339000
\(735\) 6.11079 4.34156i 0.225400 0.160141i
\(736\) 1.72727 0.997241i 0.0636681 0.0367588i
\(737\) 1.45457 2.51938i 0.0535796 0.0928026i
\(738\) −4.11703 + 11.8130i −0.151550 + 0.434841i
\(739\) −6.80780 11.7914i −0.250429 0.433755i 0.713215 0.700945i \(-0.247238\pi\)
−0.963644 + 0.267190i \(0.913905\pi\)
\(740\) −3.63511 −0.133629
\(741\) −8.11030 + 11.3292i −0.297939 + 0.416189i
\(742\) −21.6218 −0.793762
\(743\) 9.67139 + 16.7513i 0.354809 + 0.614547i 0.987085 0.160196i \(-0.0512126\pi\)
−0.632276 + 0.774743i \(0.717879\pi\)
\(744\) −1.34933 14.2936i −0.0494689 0.524028i
\(745\) −4.18207 + 7.24356i −0.153219 + 0.265383i
\(746\) 22.7761 13.1498i 0.833892 0.481448i
\(747\) −7.85583 41.2380i −0.287430 1.50882i
\(748\) 5.67464 0.207485
\(749\) −3.60887 −0.131865
\(750\) −1.41197 + 1.00317i −0.0515578 + 0.0366305i
\(751\) 11.2415 + 6.49028i 0.410208 + 0.236834i 0.690879 0.722970i \(-0.257224\pi\)
−0.280671 + 0.959804i \(0.590557\pi\)
\(752\) 3.61507i 0.131828i
\(753\) −33.9304 15.5397i −1.23649 0.566299i
\(754\) −6.23409 3.59925i −0.227032 0.131077i
\(755\) 11.1767 + 19.3586i 0.406762 + 0.704532i
\(756\) −4.17802 + 16.9822i −0.151953 + 0.617638i
\(757\) −18.4177 31.9004i −0.669403 1.15944i −0.978071 0.208270i \(-0.933217\pi\)
0.308668 0.951170i \(-0.400117\pi\)
\(758\) −8.02467 + 4.63305i −0.291469 + 0.168280i
\(759\) 1.14408 2.49806i 0.0415274 0.0906737i
\(760\) 1.41979 + 4.12119i 0.0515010 + 0.149491i
\(761\) 24.0894i 0.873241i −0.899646 0.436621i \(-0.856175\pi\)
0.899646 0.436621i \(-0.143825\pi\)
\(762\) −0.618614 6.55303i −0.0224100 0.237391i
\(763\) 3.02050 1.74389i 0.109350 0.0631330i
\(764\) −17.5813 10.1505i −0.636067 0.367234i
\(765\) −7.04421 + 20.2119i −0.254684 + 0.730762i
\(766\) 11.1774 19.3598i 0.403855 0.699497i
\(767\) 16.2555i 0.586952i
\(768\) −0.721217 + 1.57475i −0.0260247 + 0.0568240i
\(769\) 1.39798 2.42138i 0.0504126 0.0873172i −0.839718 0.543023i \(-0.817280\pi\)
0.890131 + 0.455706i \(0.150613\pi\)
\(770\) 1.33845 2.31827i 0.0482345 0.0835447i
\(771\) 20.8601 45.5472i 0.751257 1.64034i
\(772\) 4.62703i 0.166531i
\(773\) 4.17275 7.22742i 0.150084 0.259952i −0.781174 0.624313i \(-0.785379\pi\)
0.931258 + 0.364361i \(0.118712\pi\)
\(774\) −3.46308 + 9.93656i −0.124478 + 0.357162i
\(775\) −7.17856 4.14455i −0.257862 &