Properties

Label 570.2.s.b.221.9
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 221.9
Character \(\chi\) \(=\) 570.221
Dual form 570.2.s.b.521.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(1.00317 - 1.41197i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(1.72438 + 0.162784i) q^{6} +3.36569 q^{7} -1.00000 q^{8} +(-0.987311 - 2.83288i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(1.00317 - 1.41197i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(1.72438 + 0.162784i) q^{6} +3.36569 q^{7} -1.00000 q^{8} +(-0.987311 - 2.83288i) 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} +(-0.162784 + 1.72438i) 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} +(3.37635 - 4.75224i) q^{21} +(0.688796 - 0.397676i) q^{22} +(1.72727 + 0.997241i) q^{23} +(-1.00317 + 1.41197i) 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} +(-1.12301 - 0.797872i) q^{33} +(6.17887 + 3.56737i) q^{34} +(-2.91477 + 1.68284i) q^{35} +(2.94700 + 0.561404i) 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} +(5.80374 + 0.547880i) 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} +(-1.72438 - 0.162784i) q^{48} +4.32785 q^{49} +1.00000 q^{50} +(1.16142 - 12.3030i) q^{51} +(-1.59822 + 0.922734i) q^{52} +(-3.21210 + 5.56351i) q^{53} +(-1.24136 - 5.04569i) q^{54} +(0.397676 + 0.688796i) q^{55} -3.36569 q^{56} +(5.20808 + 5.46588i) q^{57} -3.90064 q^{58} +(-4.40416 - 7.62824i) q^{59} +(-1.41197 - 1.00317i) q^{60} +(-3.34905 + 5.80073i) q^{61} +(7.17856 - 4.14455i) q^{62} +(-3.32298 - 9.53459i) q^{63} +1.00000 q^{64} -1.84547 q^{65} +(0.129471 - 1.37149i) 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} +(0.987311 + 2.83288i) 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} +(2.60574 + 1.85131i) q^{78} +(-10.3514 + 5.97636i) q^{79} +(0.866025 + 0.500000i) q^{80} +(-7.05043 + 5.59387i) 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} +(-0.561404 + 2.94700i) q^{90} +(5.37912 + 3.10563i) q^{91} +(-1.72727 + 0.997241i) q^{92} +(-11.7039 - 8.31535i) 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} +(-2.25314 + 0.785261i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q + 12q^{2} + 2q^{3} - 12q^{4} + 4q^{6} - 12q^{7} - 24q^{8} + 2q^{9} + O(q^{10}) \) \( 24q + 12q^{2} + 2q^{3} - 12q^{4} + 4q^{6} - 12q^{7} - 24q^{8} + 2q^{9} + 2q^{12} + 18q^{13} - 6q^{14} - 12q^{16} - 12q^{17} - 2q^{18} + 6q^{19} + 6q^{21} + 18q^{22} - 2q^{24} + 12q^{25} - 28q^{27} + 6q^{28} + 12q^{32} - 8q^{33} - 12q^{34} - 4q^{36} - 6q^{38} + 40q^{39} - 6q^{41} - 6q^{42} - 22q^{43} + 18q^{44} + 8q^{45} - 12q^{47} - 4q^{48} + 12q^{49} + 24q^{50} - 4q^{51} - 18q^{52} - 8q^{53} - 32q^{54} + 12q^{56} - 20q^{57} - 26q^{59} + 22q^{61} + 18q^{62} + 30q^{63} + 24q^{64} - 8q^{65} - 22q^{66} - 48q^{67} + 64q^{69} - 24q^{71} - 2q^{72} - 8q^{73} - 30q^{74} - 2q^{75} - 12q^{76} + 2q^{78} + 18q^{79} - 6q^{81} + 6q^{82} - 12q^{84} + 22q^{86} - 24q^{87} - 28q^{89} + 16q^{90} + 18q^{91} + 14q^{93} - 2q^{96} + 6q^{97} + 6q^{98} - 52q^{99} + O(q^{100}) \)

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
\(3\) 1.00317 1.41197i 0.579179 0.815201i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) 1.72438 + 0.162784i 0.703977 + 0.0664562i
\(7\) 3.36569 1.27211 0.636055 0.771644i \(-0.280565\pi\)
0.636055 + 0.771644i \(0.280565\pi\)
\(8\) −1.00000 −0.353553
\(9\) −0.987311 2.83288i −0.329104 0.944294i
\(10\) −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 0.704982 0.709225i \(-0.250955\pi\)
−0.261715 + 0.965145i \(0.584288\pi\)
\(14\) 1.68284 + 2.91477i 0.449759 + 0.779005i
\(15\) −0.162784 + 1.72438i −0.0420306 + 0.445234i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 6.17887 3.56737i 1.49860 0.865214i 0.498597 0.866834i \(-0.333849\pi\)
0.999999 + 0.00161968i \(0.000515560\pi\)
\(18\) 1.95969 2.27148i 0.461904 0.535392i
\(19\) −0.831025 + 4.27895i −0.190650 + 0.981658i
\(20\) 1.00000i 0.223607i
\(21\) 3.37635 4.75224i 0.736779 1.03702i
\(22\) 0.688796 0.397676i 0.146852 0.0847849i
\(23\) 1.72727 + 0.997241i 0.360161 + 0.207939i 0.669151 0.743126i \(-0.266658\pi\)
−0.308990 + 0.951065i \(0.599991\pi\)
\(24\) −1.00317 + 1.41197i −0.204771 + 0.288217i
\(25\) 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 \(-0.951296\pi\)
0.626152 + 0.779701i \(0.284629\pi\)
\(30\) −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
\(33\) −1.12301 0.797872i −0.195492 0.138892i
\(34\) 6.17887 + 3.56737i 1.05967 + 0.611799i
\(35\) −2.91477 + 1.68284i −0.492686 + 0.284452i
\(36\) 2.94700 + 0.561404i 0.491167 + 0.0935673i
\(37\) 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 0.981637 0.190757i \(-0.0610944\pi\)
−0.656019 + 0.754744i \(0.727761\pi\)
\(42\) 5.80374 + 0.547880i 0.895536 + 0.0845397i
\(43\) −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 0.710641 0.703555i \(-0.248405\pi\)
−0.253976 + 0.967211i \(0.581738\pi\)
\(48\) −1.72438 0.162784i −0.248893 0.0234958i
\(49\) 4.32785 0.618264
\(50\) 1.00000 0.141421
\(51\) 1.16142 12.3030i 0.162631 1.72277i
\(52\) −1.59822 + 0.922734i −0.221634 + 0.127960i
\(53\) −3.21210 + 5.56351i −0.441215 + 0.764207i −0.997780 0.0665970i \(-0.978786\pi\)
0.556565 + 0.830804i \(0.312119\pi\)
\(54\) −1.24136 5.04569i −0.168927 0.686632i
\(55\) 0.397676 + 0.688796i 0.0536227 + 0.0928772i
\(56\) −3.36569 −0.449759
\(57\) 5.20808 + 5.46588i 0.689828 + 0.723974i
\(58\) −3.90064 −0.512179
\(59\) −4.40416 7.62824i −0.573373 0.993112i −0.996216 0.0869089i \(-0.972301\pi\)
0.422843 0.906203i \(-0.361032\pi\)
\(60\) −1.41197 1.00317i −0.182284 0.129508i
\(61\) −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
\(63\) −3.32298 9.53459i −0.418656 1.20125i
\(64\) 1.00000 0.125000
\(65\) −1.84547 −0.228902
\(66\) 0.129471 1.37149i 0.0159367 0.168819i
\(67\) −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 0.814637 0.579970i \(-0.196936\pi\)
−0.909588 + 0.415512i \(0.863603\pi\)
\(72\) 0.987311 + 2.83288i 0.116356 + 0.333858i
\(73\) −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
\(78\) 2.60574 + 1.85131i 0.295042 + 0.209620i
\(79\) −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
\(81\) −7.05043 + 5.59387i −0.783381 + 0.621541i
\(82\) −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 \(-0.770960\pi\)
0.946803 + 0.321815i \(0.104293\pi\)
\(90\) −0.561404 + 2.94700i −0.0591772 + 0.310641i
\(91\) 5.37912 + 3.10563i 0.563885 + 0.325559i
\(92\) −1.72727 + 0.997241i −0.180080 + 0.103970i
\(93\) −11.7039 8.31535i −1.21364 0.862261i
\(94\) 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
\(99\) −2.25314 + 0.785261i −0.226449 + 0.0789217i
\(100\) 0.500000 + 0.866025i 0.0500000 + 0.0866025i
\(101\) −1.03574 0.597984i −0.103060 0.0595017i 0.447584 0.894242i \(-0.352284\pi\)
−0.550644 + 0.834740i \(0.685618\pi\)
\(102\) 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
\(105\) −0.547880 + 5.80374i −0.0534676 + 0.566387i
\(106\) −6.42419 −0.623973
\(107\) 1.07225 0.103659 0.0518293 0.998656i \(-0.483495\pi\)
0.0518293 + 0.998656i \(0.483495\pi\)
\(108\) 3.74902 3.59789i 0.360750 0.346207i
\(109\) 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
\(111\) 5.13266 + 3.64662i 0.487171 + 0.346122i
\(112\) −1.68284 2.91477i −0.159014 0.275420i
\(113\) −11.7127 −1.10183 −0.550917 0.834560i \(-0.685722\pi\)
−0.550917 + 0.834560i \(0.685722\pi\)
\(114\) −2.12955 + 7.24327i −0.199451 + 0.678395i
\(115\) −1.99448 −0.185986
\(116\) −1.95032 3.37805i −0.181083 0.313644i
\(117\) 1.03605 5.43860i 0.0957832 0.502799i
\(118\) 4.40416 7.62824i 0.405436 0.702236i
\(119\) 20.7961 12.0067i 1.90638 1.10065i
\(120\) 0.162784 1.72438i 0.0148601 0.157414i
\(121\) 10.3674 0.942492
\(122\) −6.69811 −0.606418
\(123\) 7.19059 + 0.678800i 0.648353 + 0.0612053i
\(124\) 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
\(129\) −6.04842 0.570978i −0.532534 0.0502718i
\(130\) −0.922734 1.59822i −0.0809291 0.140173i
\(131\) 4.80319 2.77312i 0.419656 0.242289i −0.275274 0.961366i \(-0.588769\pi\)
0.694930 + 0.719077i \(0.255435\pi\)
\(132\) 1.25248 0.573622i 0.109015 0.0499274i
\(133\) −2.79697 + 14.4016i −0.242528 + 1.24878i
\(134\) 3.65766i 0.315974i
\(135\) 5.04569 1.24136i 0.434264 0.106839i
\(136\) −6.17887 + 3.56737i −0.529833 + 0.305899i
\(137\) −17.2616 9.96597i −1.47475 0.851450i −0.475159 0.879900i \(-0.657610\pi\)
−0.999595 + 0.0284500i \(0.990943\pi\)
\(138\) 2.81615 + 2.00080i 0.239726 + 0.170319i
\(139\) −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
\(147\) 4.34156 6.11079i 0.358086 0.504009i
\(148\) −3.14810 1.81755i −0.258772 0.149402i
\(149\) 7.24356 4.18207i 0.593415 0.342608i −0.173031 0.984916i \(-0.555356\pi\)
0.766447 + 0.642308i \(0.222023\pi\)
\(150\) 1.00317 1.41197i 0.0819083 0.115287i
\(151\) 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
\(156\) −0.300413 + 3.18230i −0.0240522 + 0.254788i
\(157\) −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
\(162\) −8.36965 3.30892i −0.657582 0.259973i
\(163\) −18.5170 −1.45037 −0.725184 0.688556i \(-0.758245\pi\)
−0.725184 + 0.688556i \(0.758245\pi\)
\(164\) −4.16994 −0.325618
\(165\) 1.37149 + 0.129471i 0.106771 + 0.0100793i
\(166\) −12.1185 + 6.99659i −0.940575 + 0.543041i
\(167\) 9.91145 17.1671i 0.766971 1.32843i −0.172227 0.985057i \(-0.555096\pi\)
0.939198 0.343376i \(-0.111570\pi\)
\(168\) −3.37635 + 4.75224i −0.260491 + 0.366644i
\(169\) −4.79712 8.30886i −0.369009 0.639143i
\(170\) −7.13474 −0.547210
\(171\) 12.9422 1.87046i 0.989717 0.143038i
\(172\) 3.50758 0.267451
\(173\) 3.72918 + 6.45913i 0.283524 + 0.491079i 0.972250 0.233943i \(-0.0751630\pi\)
−0.688726 + 0.725022i \(0.741830\pi\)
\(174\) −3.91299 + 5.50758i −0.296643 + 0.417528i
\(175\) 1.68284 2.91477i 0.127211 0.220336i
\(176\) −0.688796 + 0.397676i −0.0519199 + 0.0299760i
\(177\) −15.1889 1.43385i −1.14167 0.107775i
\(178\) 3.67362 0.275349
\(179\) 0.307151 0.0229575 0.0114788 0.999934i \(-0.496346\pi\)
0.0114788 + 0.999934i \(0.496346\pi\)
\(180\) −2.83288 + 0.987311i −0.211151 + 0.0735898i
\(181\) 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
\(186\) 1.34933 14.2936i 0.0989377 1.04806i
\(187\) −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 \(-0.262568\pi\)
\(192\) 1.00317 1.41197i 0.0723974 0.101900i
\(193\) −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
\(195\) −1.85131 + 2.60574i −0.132575 + 0.186601i
\(196\) −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 −0.887749 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
\(204\) 10.0740 + 7.15734i 0.705323 + 0.501114i
\(205\) −3.61128 2.08497i −0.252223 0.145621i
\(206\) −1.89833 + 1.09600i −0.132263 + 0.0763620i
\(207\) 1.11971 5.87774i 0.0778252 0.408531i
\(208\) 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
\(213\) −2.75924 0.260476i −0.189060 0.0178475i
\(214\) 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
\(219\) −24.3296 2.29674i −1.64404 0.155200i
\(220\) −0.795353 −0.0536227
\(221\) 13.1669 0.885704
\(222\) −0.591737 + 6.26833i −0.0397148 + 0.420703i
\(223\) 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
\(225\) −2.94700 0.561404i −0.196467 0.0374269i
\(226\) −5.85633 10.1435i −0.389557 0.674733i
\(227\) 17.4096 1.15552 0.577758 0.816208i \(-0.303928\pi\)
0.577758 + 0.816208i \(0.303928\pi\)
\(228\) −7.33763 + 1.77739i −0.485947 + 0.117711i
\(229\) 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
\(231\) −3.77971 2.68539i −0.248687 0.176685i
\(232\) 1.95032 3.37805i 0.128045 0.221780i
\(233\) −2.14005 + 1.23556i −0.140199 + 0.0809440i −0.568459 0.822712i \(-0.692460\pi\)
0.428260 + 0.903656i \(0.359127\pi\)
\(234\) 5.22799 1.82205i 0.341765 0.119111i
\(235\) −3.61507 −0.235821
\(236\) 8.80833 0.573373
\(237\) −1.94571 + 20.6111i −0.126388 + 1.33883i
\(238\) 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 0.999744 + 0.0226375i \(0.00720636\pi\)
0.519477 + 0.854485i \(0.326127\pi\)
\(242\) 5.18371 + 8.97844i 0.333221 + 0.577156i
\(243\) 0.825609 + 15.5666i 0.0529628 + 0.998596i
\(244\) −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
\(249\) 19.7579 + 14.0375i 1.25211 + 0.889591i
\(250\) −0.866025 + 0.500000i −0.0547723 + 0.0316228i
\(251\) 18.6598 + 10.7733i 1.17780 + 0.680002i 0.955504 0.294978i \(-0.0953123\pi\)
0.222294 + 0.974980i \(0.428646\pi\)
\(252\) 9.91869 + 1.88951i 0.624819 + 0.119028i
\(253\) 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 \(0.524639\pi\)
−0.824768 + 0.565471i \(0.808694\pi\)
\(258\) −2.52973 5.52357i −0.157494 0.343883i
\(259\) 12.2346i 0.760224i
\(260\) 0.922734 1.59822i 0.0572255 0.0991175i
\(261\) 11.4952 + 2.18983i 0.711534 + 0.135547i
\(262\) 4.80319 + 2.77312i 0.296742 + 0.171324i
\(263\) 13.9401 8.04833i 0.859585 0.496281i −0.00428849 0.999991i \(-0.501365\pi\)
0.863873 + 0.503709i \(0.168032\pi\)
\(264\) 1.12301 + 0.797872i 0.0691167 + 0.0491056i
\(265\) 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 \(-0.324048\pi\)
−0.999575 + 0.0291674i \(0.990714\pi\)
\(270\) 3.59789 + 3.74902i 0.218961 + 0.228158i
\(271\) 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
\(276\) −0.324669 + 3.43925i −0.0195428 + 0.207019i
\(277\) 30.7890 1.84993 0.924965 0.380052i \(-0.124094\pi\)
0.924965 + 0.380052i \(0.124094\pi\)
\(278\) −10.3410 −0.620211
\(279\) −23.4820 + 8.18391i −1.40583 + 0.489958i
\(280\) 2.91477 1.68284i 0.174191 0.100569i
\(281\) −12.6678 + 21.9413i −0.755698 + 1.30891i 0.189329 + 0.981914i \(0.439369\pi\)
−0.945027 + 0.326993i \(0.893965\pi\)
\(282\) 5.10436 + 3.62652i 0.303960 + 0.215956i
\(283\) 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
\(285\) −7.24327 2.12955i −0.429055 0.126144i
\(286\) 1.46780 0.0867927
\(287\) 7.01736 + 12.1544i 0.414222 + 0.717453i
\(288\) −2.94700 0.561404i −0.173654 0.0330810i
\(289\) 16.9523 29.3622i 0.997192 1.72719i
\(290\) 3.37805 1.95032i 0.198366 0.114527i
\(291\) −2.99514 + 31.7278i −0.175578 + 1.85991i
\(292\) 14.1092 0.825676
\(293\) −24.4468 −1.42820 −0.714099 0.700045i \(-0.753163\pi\)
−0.714099 + 0.700045i \(0.753163\pi\)
\(294\) 7.46288 + 0.704504i 0.435244 + 0.0410875i
\(295\) 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
\(300\) 1.72438 + 0.162784i 0.0995574 + 0.00939833i
\(301\) −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
\(306\) 4.00547 21.0261i 0.228978 1.20198i
\(307\) −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
\(309\) 3.09504 + 2.19894i 0.176071 + 0.125094i
\(310\) −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 −0.894544 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 −0.768173 0.640242i \(-0.778834\pi\)
0.938552 + 0.345137i \(0.112168\pi\)
\(318\) −6.44454 + 9.07076i −0.361392 + 0.508663i
\(319\) 2.68674 + 1.55119i 0.150429 + 0.0868500i
\(320\) −0.866025 + 0.500000i −0.0484123 + 0.0279508i
\(321\) 1.07565 1.51399i 0.0600369 0.0845026i
\(322\) 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
\(327\) 0.168689 1.78694i 0.00932851 0.0988178i
\(328\) −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
\(333\) 10.2978 3.58898i 0.564318 0.196675i
\(334\) 19.8229 1.08466
\(335\) 3.65766 0.199839
\(336\) −5.80374 0.547880i −0.316620 0.0298893i
\(337\) −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
\(339\) −11.7497 + 16.5379i −0.638159 + 0.898215i
\(340\) −3.56737 6.17887i −0.193468 0.335096i
\(341\) −6.59275 −0.357018
\(342\) 8.09098 + 10.2731i 0.437510 + 0.555504i
\(343\) −8.99362 −0.485610
\(344\) 1.75379 + 3.03766i 0.0945581 + 0.163779i
\(345\) −2.00080 + 2.81615i −0.107719 + 0.151616i
\(346\) −3.72918 + 6.45913i −0.200482 + 0.347245i
\(347\) 16.8904 9.75166i 0.906723 0.523497i 0.0273475 0.999626i \(-0.491294\pi\)
0.879375 + 0.476129i \(0.157961\pi\)
\(348\) −6.72620 0.634961i −0.360562 0.0340375i
\(349\) −0.423234 −0.0226552 −0.0113276 0.999936i \(-0.503606\pi\)
−0.0113276 + 0.999936i \(0.503606\pi\)
\(350\) 3.36569 0.179904
\(351\) −6.63980 6.91870i −0.354406 0.369293i
\(352\) −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
\(357\) 3.90898 41.4082i 0.206885 2.19155i
\(358\) 0.153575 + 0.266000i 0.00811671 + 0.0140586i
\(359\) 9.83401 5.67767i 0.519019 0.299656i −0.217514 0.976057i \(-0.569795\pi\)
0.736533 + 0.676401i \(0.236461\pi\)
\(360\) −2.27148 1.95969i −0.119717 0.103285i
\(361\) −17.6188 7.11183i −0.927305 0.374307i
\(362\) 13.4600i 0.707441i
\(363\) 10.4002 14.6385i 0.545872 0.768320i
\(364\) −5.37912 + 3.10563i −0.281942 + 0.162779i
\(365\) 12.2189 + 7.05458i 0.639566 + 0.369253i
\(366\) −6.71932 + 9.45752i −0.351225 + 0.494352i
\(367\) −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
\(375\) 1.41197 + 1.00317i 0.0729138 + 0.0518033i
\(376\) −3.13074 1.80753i −0.161456 0.0932164i
\(377\) −6.23409 + 3.59925i −0.321072 + 0.185371i
\(378\) −4.17802 16.9822i −0.214894 0.873472i
\(379\) 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 \(-0.973169\pi\)
0.425313 0.905046i \(-0.360164\pi\)
\(384\) 1.72438 + 0.162784i 0.0879971 + 0.00830703i
\(385\) 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 \(-0.313728\pi\)
−0.445746 + 0.895159i \(0.647062\pi\)
\(390\) −3.18230 0.300413i −0.161142 0.0152120i
\(391\) 14.2301 0.719647
\(392\) −4.32785 −0.218589
\(393\) 0.902839 9.56386i 0.0455422 0.482433i
\(394\) −15.1687 + 8.75764i −0.764187 + 0.441203i
\(395\) 5.97636 10.3514i 0.300704 0.520834i
\(396\) 0.446514 2.34391i 0.0224382 0.117786i
\(397\) −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
\(399\) 17.5288 + 18.3964i 0.877537 + 0.920974i
\(400\) −1.00000 −0.0500000
\(401\) −5.27439 9.13551i −0.263390 0.456206i 0.703750 0.710447i \(-0.251507\pi\)
−0.967141 + 0.254242i \(0.918174\pi\)
\(402\) −5.16450 3.66925i −0.257582 0.183005i
\(403\) 7.64863 13.2478i 0.381005 0.659921i
\(404\) 1.03574 0.597984i 0.0515300 0.0297508i
\(405\) 3.30892 8.36965i 0.164421 0.415891i
\(406\) −13.1283 −0.651548
\(407\) 2.89119 0.143311
\(408\) −1.16142 + 12.3030i −0.0574989 + 0.609091i
\(409\) 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
\(414\) 5.65013 1.96917i 0.277689 0.0967796i
\(415\) −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 \(-0.256871\pi\)
\(420\) −4.75224 3.37635i −0.231886 0.164749i
\(421\) 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
\(423\) 2.02951 10.6536i 0.0986783 0.517996i
\(424\) 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 \(-0.624101\pi\)
0.991072 0.133326i \(-0.0425656\pi\)
\(432\) 1.24136 + 5.04569i 0.0597248 + 0.242761i
\(433\) −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
\(435\) −5.50758 3.91299i −0.264068 0.187614i
\(436\) 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
\(441\) −4.27293 12.2603i −0.203473 0.583823i
\(442\) 6.58347 + 11.4029i 0.313144 + 0.542381i
\(443\) 28.0730 + 16.2079i 1.33379 + 0.770062i 0.985878 0.167466i \(-0.0535584\pi\)
0.347909 + 0.937528i \(0.386892\pi\)
\(444\) −5.72440 + 2.62170i −0.271668 + 0.124421i
\(445\) 3.67362i 0.174146i
\(446\) 19.3951 + 11.1978i 0.918383 + 0.530229i
\(447\) 1.36155 14.4230i 0.0643990 0.682184i
\(448\) 3.36569 0.159014
\(449\) −1.66858 −0.0787453 −0.0393727 0.999225i \(-0.512536\pi\)
−0.0393727 + 0.999225i \(0.512536\pi\)
\(450\) −0.987311 2.83288i −0.0465423 0.133543i
\(451\) 2.87224 1.65829i 0.135248 0.0780857i
\(452\) 5.85633 10.1435i 0.275458 0.477108i
\(453\) 31.5623 + 22.4242i 1.48293 + 1.05358i
\(454\) 8.70480 + 15.0772i 0.408536 + 0.707606i
\(455\) −6.21127 −0.291189
\(456\) −5.20808 5.46588i −0.243891 0.255963i
\(457\) −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
\(459\) −35.9997 + 8.85676i −1.68032 + 0.413398i
\(460\) 0.997241 1.72727i 0.0464966 0.0805344i
\(461\) −25.3943 + 14.6614i −1.18273 + 0.682851i −0.956645 0.291256i \(-0.905927\pi\)
−0.226087 + 0.974107i \(0.572593\pi\)
\(462\) 0.435758 4.61602i 0.0202733 0.214757i
\(463\) 41.3040 1.91956 0.959781 0.280751i \(-0.0905836\pi\)
0.959781 + 0.280751i \(0.0905836\pi\)
\(464\) 3.90064 0.181083
\(465\) 14.2936 + 1.34933i 0.662849 + 0.0625737i
\(466\) −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
\(471\) −31.2867 2.95350i −1.44162 0.136090i
\(472\) 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
\(477\) 18.9321 + 3.60657i 0.866842 + 0.165133i
\(478\) 11.4275 6.59766i 0.522681 0.301770i
\(479\) −29.9827 17.3105i −1.36995 0.790939i −0.379025 0.925386i \(-0.623741\pi\)
−0.990921 + 0.134448i \(0.957074\pi\)
\(480\) 1.41197 + 1.00317i 0.0644473 + 0.0457881i
\(481\) −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
\(489\) −18.5757 + 26.1455i −0.840022 + 1.18234i
\(490\) −3.74803 2.16392i −0.169319 0.0977562i
\(491\) −3.62316 + 2.09183i −0.163511 + 0.0944030i −0.579522 0.814956i \(-0.696761\pi\)
0.416012 + 0.909359i \(0.363428\pi\)
\(492\) −4.18315 + 5.88783i −0.188591 + 0.265444i
\(493\) 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
\(498\) −2.27787 + 24.1296i −0.102074 + 1.08127i
\(499\) 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 0.702274 0.711907i \(-0.252168\pi\)
−0.265393 + 0.964140i \(0.585502\pi\)
\(504\) 3.32298 + 9.53459i 0.148017 + 0.424704i
\(505\) 1.19597 0.0532199
\(506\) 1.58632 0.0705204
\(507\) −16.5442 1.56179i −0.734752 0.0693615i
\(508\) −3.29108 + 1.90011i −0.146018 + 0.0843036i
\(509\) −10.8249 + 18.7493i −0.479806 + 0.831048i −0.999732 0.0231634i \(-0.992626\pi\)
0.519926 + 0.854211i \(0.325960\pi\)
\(510\) −7.15734 + 10.0740i −0.316932 + 0.446086i
\(511\) −23.7435 41.1249i −1.05035 1.81926i
\(512\) −1.00000 −0.0441942
\(513\) 10.3422 20.1504i 0.456619 0.889662i
\(514\) −28.9234 −1.27576
\(515\) −1.09600 1.89833i −0.0482956 0.0836504i
\(516\) 3.51869 4.95260i 0.154902 0.218026i
\(517\) 1.43763 2.49004i 0.0632268 0.109512i
\(518\) −10.5955 + 6.11732i −0.465540 + 0.268780i
\(519\) 12.8611 + 1.21410i 0.564539 + 0.0532931i
\(520\) 1.84547 0.0809291
\(521\) −31.4041 −1.37584 −0.687920 0.725787i \(-0.741476\pi\)
−0.687920 + 0.725787i \(0.741476\pi\)
\(522\) 3.85114 + 11.0500i 0.168560 + 0.483647i
\(523\) 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
\(528\) −0.129471 + 1.37149i −0.00563449 + 0.0596866i
\(529\) −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
\(534\) 3.68525 5.18703i 0.159476 0.224465i
\(535\) −0.928599 + 0.536127i −0.0401468 + 0.0231788i
\(536\) 3.16763 + 1.82883i 0.136821 + 0.0789935i
\(537\) 0.308123 0.433687i 0.0132965 0.0187150i
\(538\) 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
\(546\) 8.77012 + 6.23094i 0.375326 + 0.266660i
\(547\) −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
\(549\) 19.7393 + 3.76034i 0.842454 + 0.160488i
\(550\) 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
\(555\) −6.26833 0.591737i −0.266076 0.0251178i
\(556\) −5.17049 8.95556i −0.219278 0.379800i
\(557\) 9.64943 + 5.57110i 0.408860 + 0.236055i 0.690300 0.723524i \(-0.257479\pi\)
−0.281440 + 0.959579i \(0.590812\pi\)
\(558\) −18.8285 16.2441i −0.797073 0.687666i
\(559\) 6.47313i 0.273784i
\(560\) 2.91477 + 1.68284i 0.123172 + 0.0711131i
\(561\) −9.78525 0.923739i −0.413134 0.0390003i
\(562\) −25.3356 −1.06872
\(563\) 25.6386 1.08054 0.540269 0.841492i \(-0.318323\pi\)
0.540269 + 0.841492i \(0.318323\pi\)
\(564\) −0.588475 + 6.23377i −0.0247793 + 0.262489i
\(565\) 10.1435 5.85633i 0.426738 0.246378i
\(566\) −4.10956 + 7.11797i −0.172738 + 0.299191i
\(567\) −23.7296 + 18.8272i −0.996547 + 0.790669i
\(568\) 0.800066 + 1.38576i 0.0335700 + 0.0581450i
\(569\) −36.2410 −1.51930 −0.759651 0.650331i \(-0.774630\pi\)
−0.759651 + 0.650331i \(0.774630\pi\)
\(570\) −1.77739 7.33763i −0.0744468 0.307340i
\(571\) 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
\(573\) −28.6645 20.3654i −1.19748 0.850776i
\(574\) −7.01736 + 12.1544i −0.292899 + 0.507316i
\(575\) 1.72727 0.997241i 0.0720322 0.0415878i
\(576\) −0.987311 2.83288i −0.0411380 0.118037i
\(577\) 36.0337 1.50010 0.750051 0.661380i \(-0.230029\pi\)
0.750051 + 0.661380i \(0.230029\pi\)
\(578\) 33.9045 1.41024
\(579\) −0.753206 + 7.97878i −0.0313022 + 0.331587i
\(580\) 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
\(585\) 1.82205 + 5.22799i 0.0753326 + 0.216151i
\(586\) −12.2234 21.1716i −0.504944 0.874589i
\(587\) −24.1606 + 13.9491i −0.997214 + 0.575742i −0.907423 0.420219i \(-0.861953\pi\)
−0.0897909 + 0.995961i \(0.528620\pi\)
\(588\) 3.12132 + 6.81529i 0.128721 + 0.281058i
\(589\) 35.4686 + 6.88844i 1.46146 + 0.283833i
\(590\) 8.80833i 0.362633i
\(591\) 24.7310 + 17.5707i 1.01730 + 0.722764i
\(592\) 3.14810 1.81755i 0.129386 0.0747010i
\(593\) 12.3343 + 7.12119i 0.506508 + 0.292432i 0.731397 0.681952i \(-0.238869\pi\)
−0.224889 + 0.974384i \(0.572202\pi\)
\(594\) −4.01311 + 0.987317i −0.164660 + 0.0405101i
\(595\) −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 \(-0.704458\pi\)
0.992960 + 0.118447i \(0.0377917\pi\)
\(600\) 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
\(603\) −2.05343 + 10.7791i −0.0836220 + 0.438961i
\(604\) −19.3586 11.1767i −0.787691 0.454773i
\(605\) −8.97844 + 5.18371i −0.365026 + 0.210748i
\(606\) −1.68867 1.19976i −0.0685976 0.0487368i
\(607\) 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
\(612\) 20.2119 7.04421i 0.817017 0.284745i
\(613\) 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 0.404101 0.914714i \(-0.367584\pi\)
−0.590115 + 0.807319i \(0.700918\pi\)
\(618\) −0.356823 + 3.77985i −0.0143535 + 0.152048i
\(619\) 9.41765 0.378528 0.189264 0.981926i \(-0.439390\pi\)
0.189264 + 0.981926i \(0.439390\pi\)
\(620\) −8.28909 −0.332898
\(621\) −7.17593 7.47735i −0.287960 0.300056i
\(622\) −21.1657 + 12.2200i −0.848666 + 0.489977i
\(623\) 6.18212 10.7078i 0.247682 0.428997i
\(624\) −2.60574 1.85131i −0.104313 0.0741118i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −2.12928 −0.0851033
\(627\) 4.34730 4.14226i 0.173615 0.165426i
\(628\) 18.1437 0.724013
\(629\) 12.9678 + 22.4609i 0.517059 + 0.895573i
\(630\) −1.88951 + 9.91869i −0.0752799 + 0.395170i
\(631\) 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
\(633\) 4.38948 46.4982i 0.174466 1.84814i
\(634\) 6.06702 0.240952
\(635\) −3.80022 −0.150807
\(636\) −11.0778 1.04575i −0.439262 0.0414669i
\(637\) 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 \(-0.217508\pi\)
−0.934524 + 0.355899i \(0.884175\pi\)
\(642\) 1.84898 + 0.174546i 0.0729733 + 0.00688877i
\(643\) −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 \(0.0769926\pi\)
−0.970889 + 0.239528i \(0.923007\pi\)
\(648\) 7.05043 5.59387i 0.276967 0.219748i
\(649\) −6.06714 + 3.50286i −0.238156 + 0.137499i
\(650\) 1.59822 + 0.922734i 0.0626874 + 0.0361926i
\(651\) −39.3918 27.9869i −1.54389 1.09689i
\(652\) 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 \(-0.923207\pi\)
0.692430 + 0.721485i \(0.256540\pi\)
\(660\) −0.797872 + 1.12301i −0.0310571 + 0.0437132i
\(661\) −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
\(663\) 13.2086 18.5913i 0.512981 0.722026i
\(664\) 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
\(669\) 3.64563 38.6185i 0.140948 1.49308i
\(670\) 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
\(675\) −3.74902 + 3.59789i −0.144300 + 0.138483i
\(676\) 9.59425 0.369009
\(677\) 13.7283 0.527620 0.263810 0.964575i \(-0.415021\pi\)
0.263810 + 0.964575i \(0.415021\pi\)
\(678\) −20.1971 1.90663i −0.775666 0.0732237i
\(679\) −53.6302 + 30.9634i −2.05814 + 1.18827i
\(680\) 3.56737 6.17887i 0.136802 0.236949i
\(681\) 17.4647 24.5818i 0.669250 0.941977i
\(682\) −3.29638 5.70949i −0.126225 0.218628i
\(683\) −27.2992 −1.04457 −0.522287 0.852770i \(-0.674921\pi\)
−0.522287 + 0.852770i \(0.674921\pi\)
\(684\) −4.85125 + 12.1435i −0.185492 + 0.464320i
\(685\) 19.9319 0.761560
\(686\) −4.49681 7.78871i −0.171689 0.297374i
\(687\) 1.94606 2.73910i 0.0742468 0.104503i
\(688\) −1.75379 + 3.03766i −0.0668627 + 0.115810i
\(689\) −10.2673 + 5.92782i −0.391152 + 0.225832i
\(690\) −3.43925 0.324669i −0.130930 0.0123600i
\(691\) −7.97929 −0.303546 −0.151773 0.988415i \(-0.548498\pi\)
−0.151773 + 0.988415i \(0.548498\pi\)
\(692\) −7.45836 −0.283524
\(693\) −7.58336 + 2.64294i −0.288068 + 0.100397i
\(694\) 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
\(699\) −0.402257 + 4.26115i −0.0152148 + 0.161171i
\(700\) 1.68284 + 2.91477i 0.0636055 + 0.110168i
\(701\) 34.6741 20.0191i 1.30962 0.756111i 0.327589 0.944820i \(-0.393764\pi\)
0.982033 + 0.188710i \(0.0604306\pi\)
\(702\) 2.67187 9.20958i 0.100843 0.347593i
\(703\) −15.5544 3.02087i −0.586647 0.113934i
\(704\) 0.795353i 0.0299760i
\(705\) −3.62652 + 5.10436i −0.136583 + 0.192241i
\(706\) −20.8007 + 12.0093i −0.782845 + 0.451976i
\(707\) −3.48597 2.01263i −0.131104 0.0756927i
\(708\) 8.83623 12.4371i 0.332086 0.467414i
\(709\) −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
\(717\) −18.6314 13.2371i −0.695801 0.494349i
\(718\) 9.83401 + 5.67767i 0.367002 + 0.211889i
\(719\) 10.7413 6.20149i 0.400583 0.231276i −0.286153 0.958184i \(-0.592376\pi\)
0.686735 + 0.726908i \(0.259043\pi\)
\(720\) 0.561404 2.94700i 0.0209223 0.109828i
\(721\) 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
\(726\) 17.8774 + 1.68765i 0.663493 + 0.0626345i
\(727\) 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
\(732\) −11.5501 1.09034i −0.426904 0.0403003i
\(733\) −50.0396 −1.84826 −0.924128 0.382084i \(-0.875207\pi\)
−0.924128 + 0.382084i \(0.875207\pi\)
\(734\) −9.18432 −0.339000
\(735\) −0.704504 + 7.46288i −0.0259860 + 0.275272i
\(736\) 1.72727 0.997241i 0.0636681 0.0367588i
\(737\) −1.45457 + 2.51938i −0.0535796 + 0.0928026i
\(738\) 12.2888 + 2.34102i 0.452358 + 0.0861742i
\(739\) −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
\(741\) 3.28012 + 13.5414i 0.120498 + 0.497455i
\(742\) −21.6218 −0.793762
\(743\) −9.67139 16.7513i −0.354809 0.614547i 0.632276 0.774743i \(-0.282121\pi\)
−0.987085 + 0.160196i \(0.948787\pi\)
\(744\) 11.7039 + 8.31535i 0.429087 + 0.304855i
\(745\) −4.18207 + 7.24356i −0.153219 + 0.265383i
\(746\) −22.7761 + 13.1498i −0.833892 + 0.481448i
\(747\) 39.6410 13.8156i 1.45039 0.505488i
\(748\) 5.67464 0.207485
\(749\) 3.60887 0.131865
\(750\) −0.162784 + 1.72438i −0.00594403 + 0.0629656i
\(751\) 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
\(756\) 12.6180 12.1094i 0.458913 0.440414i
\(757\) −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 \(0.143825\pi\)
−0.899646 + 0.436621i \(0.856175\pi\)
\(762\) 5.36578 + 3.81225i 0.194382 + 0.138103i
\(763\) 3.02050 1.74389i 0.109350 0.0631330i
\(764\) 17.5813 + 10.1505i 0.636067 + 0.367234i
\(765\) 21.0261 + 4.00547i 0.760200 + 0.144818i
\(766\) 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 −0.931258 0.364361i \(-0.881288\pi\)
0.781174 + 0.624313i \(0.214621\pi\)
\(774\) −10.3369 1.96917i −0.371551 0.0707804i
\(775\) −7.17856 4.14455i −0.257862 0.148876i