Properties

Label 570.2.s.a.521.12
Level $570$
Weight $2$
Character 570.521
Analytic conductor $4.551$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 521.12
Character \(\chi\) \(=\) 570.521
Dual form 570.2.s.a.221.12

$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

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

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 \(-0.961741\pi\)
0.992785 0.119904i \(-0.0382587\pi\)
\(12\) −0.721217 1.57475i −0.208197 0.454592i
\(13\) 1.59822 0.922734i 0.443267 0.255920i −0.261715 0.965145i \(-0.584288\pi\)
0.704982 + 0.709225i \(0.250955\pi\)
\(14\) −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 −0.498597 0.866834i \(-0.666151\pi\)
−0.999999 + 0.00161968i \(0.999484\pi\)
\(18\) −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 −0.669151 0.743126i \(-0.733342\pi\)
0.308990 + 0.951065i \(0.400009\pi\)
\(24\) 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 0.988317 0.152413i \(-0.0487043\pi\)
−0.626152 + 0.779701i \(0.715371\pi\)
\(30\) −1.57475 + 0.721217i −0.287509 + 0.131676i
\(31\) 8.28909i 1.48876i 0.667753 + 0.744382i \(0.267256\pi\)
−0.667753 + 0.744382i \(0.732744\pi\)
\(32\) −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 \(-0.903412\pi\)
0.954314 0.298804i \(-0.0965877\pi\)
\(38\) 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 −0.981637 0.190757i \(-0.938906\pi\)
0.656019 + 0.754744i \(0.272239\pi\)
\(42\) −3.37635 + 4.75224i −0.520982 + 0.733287i
\(43\) −1.75379 + 3.03766i −0.267451 + 0.463238i −0.968203 0.250167i \(-0.919515\pi\)
0.700752 + 0.713405i \(0.252848\pi\)
\(44\) −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 −0.710641 0.703555i \(-0.751595\pi\)
0.253976 + 0.967211i \(0.418262\pi\)
\(48\) −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 0.997780 0.0665970i \(-0.0212142\pi\)
−0.556565 + 0.830804i \(0.687881\pi\)
\(54\) −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 −0.422843 0.906203i \(-0.638968\pi\)
0.996216 0.0869089i \(-0.0276989\pi\)
\(60\) 0.162784 1.72438i 0.0210153 0.222617i
\(61\) −3.34905 5.80073i −0.428802 0.742707i 0.567965 0.823053i \(-0.307731\pi\)
−0.996767 + 0.0803454i \(0.974398\pi\)
\(62\) −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 −0.680854 0.732419i \(-0.738391\pi\)
0.293867 + 0.955846i \(0.405058\pi\)
\(68\) 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 −0.814637 0.579970i \(-0.803064\pi\)
0.909588 + 0.415512i \(0.136397\pi\)
\(72\) 2.94700 + 0.561404i 0.347308 + 0.0661621i
\(73\) −7.05458 + 12.2189i −0.825676 + 1.43011i 0.0757258 + 0.997129i \(0.475873\pi\)
−0.901402 + 0.432984i \(0.857461\pi\)
\(74\) 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 −0.212213 0.977223i \(-0.568067\pi\)
−0.952407 + 0.304830i \(0.901400\pi\)
\(80\) −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 \(0.278736\pi\)
−0.640479 + 0.767976i \(0.721264\pi\)
\(84\) −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 0.752101 0.659048i \(-0.229040\pi\)
−0.946803 + 0.321815i \(0.895707\pi\)
\(90\) −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 −0.987464 0.157846i \(-0.949545\pi\)
−0.630430 0.776246i \(-0.717121\pi\)
\(98\) −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 −0.447584 0.894242i \(-0.647716\pi\)
0.550644 + 0.834740i \(0.314382\pi\)
\(102\) 11.2355 5.14570i 1.11248 0.509500i
\(103\) 2.19200i 0.215984i −0.994152 0.107992i \(-0.965558\pi\)
0.994152 0.107992i \(-0.0344421\pi\)
\(104\) 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 0.542363 0.840144i \(-0.317530\pi\)
−0.456404 + 0.889773i \(0.650863\pi\)
\(110\) 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 −0.346823 0.937930i \(-0.612740\pi\)
0.638860 + 0.769323i \(0.279406\pi\)
\(128\) −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 0.275274 0.961366i \(-0.411231\pi\)
−0.694930 + 0.719077i \(0.744565\pi\)
\(132\) −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 0.475159 0.879900i \(-0.342390\pi\)
0.999595 + 0.0284500i \(0.00905713\pi\)
\(138\) 0.324669 3.43925i 0.0276377 0.292769i
\(139\) −5.17049 8.95556i −0.438556 0.759600i 0.559023 0.829152i \(-0.311176\pi\)
−0.997578 + 0.0695518i \(0.977843\pi\)
\(140\) 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 0.173031 0.984916i \(-0.444644\pi\)
−0.766447 + 0.642308i \(0.777977\pi\)
\(150\) −1.72438 0.162784i −0.140795 0.0132912i
\(151\) 22.3534i 1.81909i −0.415601 0.909547i \(-0.636429\pi\)
0.415601 0.909547i \(-0.363571\pi\)
\(152\) −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 0.235367 + 0.971907i \(0.424371\pi\)
−0.959379 + 0.282120i \(0.908962\pi\)
\(158\) 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 −0.939198 0.343376i \(-0.888430\pi\)
0.172227 0.985057i \(-0.444904\pi\)
\(168\) 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 −0.972250 0.233943i \(-0.924837\pi\)
0.688726 + 0.725022i \(0.258170\pi\)
\(174\) −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 0.000273100 1.00000i \(-0.499913\pi\)
0.866162 + 0.499763i \(0.166580\pi\)
\(182\) 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 \(-0.737432\pi\)
0.678644 0.734467i \(-0.262568\pi\)
\(192\) 1.72438 + 0.162784i 0.124447 + 0.0117479i
\(193\) −4.00713 2.31352i −0.288439 0.166531i 0.348798 0.937198i \(-0.386590\pi\)
−0.637238 + 0.770667i \(0.719923\pi\)
\(194\) 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 \(0.214476\pi\)
−0.781460 + 0.623956i \(0.785524\pi\)
\(198\) 1.80663 + 1.55865i 0.128391 + 0.110768i
\(199\) −0.637900 1.10487i −0.0452195 0.0783225i 0.842530 0.538650i \(-0.181065\pi\)
−0.887749 + 0.460327i \(0.847732\pi\)
\(200\) 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 0.989895 + 0.141805i \(0.0452907\pi\)
0.617754 + 0.786371i \(0.288043\pi\)
\(212\) 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 0.980195 0.198034i \(-0.0634557\pi\)
0.318595 + 0.947891i \(0.396789\pi\)
\(224\) −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 0.568459 0.822712i \(-0.307540\pi\)
−0.428260 + 0.903656i \(0.640873\pi\)
\(234\) −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 \(-0.859652\pi\)
0.904362 0.426767i \(-0.140348\pi\)
\(240\) −1.57475 + 0.721217i −0.101650 + 0.0465544i
\(241\) 23.5846 13.6166i 1.51922 0.877122i 0.519477 0.854485i \(-0.326127\pi\)
0.999744 0.0226375i \(-0.00720636\pi\)
\(242\) −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 −0.955504 0.294978i \(-0.904688\pi\)
−0.222294 + 0.974980i \(0.571354\pi\)
\(252\) −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 0.824768 + 0.565471i \(0.191306\pi\)
0.0773283 + 0.997006i \(0.475361\pi\)
\(258\) −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 0.00428849 0.999991i \(-0.498635\pi\)
−0.863873 + 0.503709i \(0.831968\pi\)
\(264\) 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 −0.525047 0.851073i \(-0.675952\pi\)
0.999575 + 0.0291674i \(0.00928560\pi\)
\(270\) −5.04569 + 1.24136i −0.307071 + 0.0755466i
\(271\) 1.20476 2.08670i 0.0731839 0.126758i −0.827111 0.562038i \(-0.810017\pi\)
0.900295 + 0.435280i \(0.143351\pi\)
\(272\) 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 0.945027 + 0.326993i \(0.106035\pi\)
−0.189329 + 0.981914i \(0.560631\pi\)
\(282\) 0.588475 6.23377i 0.0350432 0.371215i
\(283\) 4.10956 7.11797i 0.244288 0.423119i −0.717643 0.696411i \(-0.754779\pi\)
0.961931 + 0.273292i \(0.0881124\pi\)
\(284\) −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 0.198662 0.980068i \(-0.436340\pi\)
−0.749433 + 0.662080i \(0.769674\pi\)
\(308\) −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 \(0.243682\pi\)
−0.721002 + 0.692933i \(0.756318\pi\)
\(312\) 2.90616 1.33098i 0.164529 0.0753521i
\(313\) −1.06464 1.84401i −0.0601771 0.104230i 0.834367 0.551209i \(-0.185833\pi\)
−0.894544 + 0.446979i \(0.852500\pi\)
\(314\) −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 0.768173 0.640242i \(-0.221166\pi\)
−0.938552 + 0.345137i \(0.887832\pi\)
\(318\) −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 \(0.0672758\pi\)
−0.977748 + 0.209783i \(0.932724\pi\)
\(332\) 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 0.358022 0.933713i \(-0.383451\pi\)
−0.629609 + 0.776912i \(0.716785\pi\)
\(338\) −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 −0.0273475 0.999626i \(-0.508706\pi\)
−0.879375 + 0.476129i \(0.842039\pi\)
\(348\) 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 \(0.220730\pi\)
−0.769049 + 0.639190i \(0.779270\pi\)
\(354\) 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 0.217514 0.976057i \(-0.430205\pi\)
−0.736533 + 0.676401i \(0.763539\pi\)
\(360\) 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 0.720922 0.693016i \(-0.243719\pi\)
−0.960631 + 0.277828i \(0.910385\pi\)
\(368\) 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 \(-0.761602\pi\)
0.732404 0.680870i \(-0.238398\pi\)
\(374\) −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 \(0.0764864\pi\)
−0.971269 + 0.237984i \(0.923514\pi\)
\(380\) −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 −0.425313 0.905046i \(-0.639836\pi\)
0.996450 0.0841912i \(-0.0268307\pi\)
\(384\) −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 −0.552358 0.833607i \(-0.686272\pi\)
0.445746 + 0.895159i \(0.352938\pi\)
\(390\) −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 0.300974 + 0.953632i \(0.402688\pi\)
−0.976357 + 0.216165i \(0.930645\pi\)
\(398\) 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 −0.703750 0.710447i \(-0.748493\pi\)
0.967141 + 0.254242i \(0.0818259\pi\)
\(402\) 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 −0.0796743 0.996821i \(-0.525388\pi\)
0.823435 + 0.567410i \(0.192055\pi\)
\(410\) 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 \(-0.743129\pi\)
0.691680 0.722204i \(-0.256871\pi\)
\(420\) 0.547880 5.80374i 0.0267338 0.283193i
\(421\) 2.75755 + 1.59207i 0.134395 + 0.0775930i 0.565690 0.824618i \(-0.308610\pi\)
−0.431295 + 0.902211i \(0.641943\pi\)
\(422\) −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 −0.991072 0.133326i \(-0.957434\pi\)
0.380073 0.924957i \(-0.375899\pi\)
\(432\) −3.74902 + 3.59789i −0.180375 + 0.173104i
\(433\) −34.0276 + 19.6459i −1.63526 + 0.944120i −0.652832 + 0.757503i \(0.726419\pi\)
−0.982433 + 0.186617i \(0.940248\pi\)
\(434\) −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 0.709133 0.705074i \(-0.249086\pi\)
−0.256046 + 0.966665i \(0.582420\pi\)
\(440\) 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 −0.985878 0.167466i \(-0.946442\pi\)
−0.347909 + 0.937528i \(0.613108\pi\)
\(444\) −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 0.956645 0.291256i \(-0.0940732\pi\)
0.226087 + 0.974107i \(0.427407\pi\)
\(462\) 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 \(-0.901119\pi\)
0.952137 0.305671i \(-0.0988806\pi\)
\(468\) −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 0.379025 0.925386i \(-0.376259\pi\)
0.990921 + 0.134448i \(0.0429261\pi\)
\(480\) 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 \(0.156026\pi\)
−0.882252 + 0.470777i \(0.843974\pi\)
\(488\) −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 0.579522 0.814956i \(-0.303239\pi\)
−0.416012 + 0.909359i \(0.636572\pi\)
\(492\) 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 −0.792871 0.609390i \(-0.791414\pi\)
0.924183 + 0.381951i \(0.124748\pi\)
\(500\) 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 −0.702274 0.711907i \(-0.747832\pi\)
0.265393 + 0.964140i \(0.414498\pi\)
\(504\) 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 0.999732 0.0231634i \(-0.00737381\pi\)
−0.519926 + 0.854211i \(0.674040\pi\)
\(510\) 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 −0.266627 0.963800i \(-0.585909\pi\)
0.701361 + 0.712806i \(0.252576\pi\)
\(524\) 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 0.977484 + 0.211010i \(0.0676752\pi\)
−0.306002 + 0.952031i \(0.598991\pi\)
\(542\) 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 −0.632373 0.774664i \(-0.717919\pi\)
0.354693 + 0.934983i \(0.384586\pi\)
\(548\) −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 −0.690300 0.723524i \(-0.742521\pi\)
0.281440 + 0.959579i \(0.409188\pi\)
\(558\) −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 0.907423 0.420219i \(-0.138047\pi\)
0.0897909 + 0.995961i \(0.471380\pi\)
\(588\) −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 −0.731397 0.681952i \(-0.761131\pi\)
0.224889 + 0.974384i \(0.427798\pi\)
\(594\) 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 0.599059 0.800705i \(-0.295542\pi\)
−0.992960 + 0.118447i \(0.962208\pi\)
\(600\) 0.721217 + 1.57475i 0.0294436 + 0.0642890i
\(601\) 41.5244i 1.69382i −0.531740 0.846908i \(-0.678462\pi\)
0.531740 0.846908i \(-0.321538\pi\)
\(602\) −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 \(-0.831600\pi\)
0.863290 0.504709i \(-0.168400\pi\)
\(608\) −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 −0.789140 0.614213i \(-0.789474\pi\)
0.926494 + 0.376309i \(0.122807\pi\)
\(614\) 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 −0.404101 0.914714i \(-0.632416\pi\)
0.590115 + 0.807319i \(0.299082\pi\)
\(618\) 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 0.997359 + 0.0726292i \(0.0231390\pi\)
−0.435781 + 0.900053i \(0.643528\pi\)
\(632\) −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 −0.775480 0.631372i \(-0.782492\pi\)
0.934524 + 0.355899i \(0.115825\pi\)
\(642\) 1.07565 1.51399i 0.0424525 0.0597524i
\(643\) −11.4346 + 19.8053i −0.450936 + 0.781044i −0.998444 0.0557564i \(-0.982243\pi\)
0.547509 + 0.836800i \(0.315576\pi\)
\(644\) 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 \(0.0769926\pi\)
−0.970889 + 0.239528i \(0.923007\pi\)
\(648\) 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 \(-0.641252\pi\)
0.429335 0.903145i \(-0.358748\pi\)
\(654\) −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 0.971040 0.238919i \(-0.0767930\pi\)
−0.692430 + 0.721485i \(0.743460\pi\)
\(660\) −1.37149 0.129471i −0.0533853 0.00503964i
\(661\) −10.1413 + 5.85511i −0.394452 + 0.227737i −0.684088 0.729400i \(-0.739799\pi\)
0.289635 + 0.957137i \(0.406466\pi\)
\(662\) −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 \(0.00443269\pi\)
−0.999903 + 0.0139253i \(0.995567\pi\)
\(674\) 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 −0.327589 0.944820i \(-0.606236\pi\)
−0.982033 + 0.188710i \(0.939569\pi\)
\(702\) −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 0.677439 0.735579i \(-0.263090\pi\)
−0.975750 + 0.218890i \(0.929756\pi\)
\(710\) 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 0.286153 0.958184i \(-0.407624\pi\)
−0.686735 + 0.726908i \(0.740957\pi\)
\(720\) −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 −0.616541 0.787323i \(-0.711467\pi\)
0.990112 + 0.140279i \(0.0447999\pi\)
\(728\) 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 −0.963644 0.267190i \(-0.913905\pi\)
0.713215 + 0.700945i \(0.247238\pi\)
\(740\) −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 −0.632276 0.774743i \(-0.717879\pi\)
0.987085 + 0.160196i \(0.0512126\pi\)
\(744\) −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 −0.280671 0.959804i \(-0.590557\pi\)
0.690879 + 0.722970i \(0.257224\pi\)
\(752\) 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 0.308668 + 0.951170i \(0.400117\pi\)
−0.978071 + 0.208270i \(0.933217\pi\)
\(758\) −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 \(0.143825\pi\)
−0.899646 + 0.436621i \(0.856175\pi\)
\(762\) −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 0.890131 0.455706i \(-0.150613\pi\)
−0.839718 + 0.543023i \(0.817280\pi\)
\(770\) 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 0.931258 0.364361i \(-0.118712\pi\)
−0.781174 + 0.624313i \(0.785379\pi\)
\(774\) −3.46308 9.93656i −0.124478 0.357162i
\(775\) −7.17856 + 4.14455i −0.257862 + 0.148876i