Properties

Label 41.2.g.a.33.3
Level 41
Weight 2
Character 41.33
Analytic conductor 0.327
Analytic rank 0
Dimension 24
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 41 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 41.g (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.327386648287\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(3\) over \(\Q(\zeta_{20})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 33.3
Character \(\chi\) = 41.33
Dual form 41.2.g.a.5.3

$q$-expansion

\(f(q)\) \(=\) \(q+(1.42655 - 1.96347i) q^{2} +(-2.02366 + 2.02366i) q^{3} +(-1.20216 - 3.69986i) q^{4} +(0.110420 - 0.0358775i) q^{5} +(1.08656 + 6.86025i) q^{6} +(-0.422339 + 2.66654i) q^{7} +(-4.36309 - 1.41766i) q^{8} -5.19040i q^{9} +O(q^{10})\) \(q+(1.42655 - 1.96347i) q^{2} +(-2.02366 + 2.02366i) q^{3} +(-1.20216 - 3.69986i) q^{4} +(0.110420 - 0.0358775i) q^{5} +(1.08656 + 6.86025i) q^{6} +(-0.422339 + 2.66654i) q^{7} +(-4.36309 - 1.41766i) q^{8} -5.19040i q^{9} +(0.0870742 - 0.267987i) q^{10} +(-1.53663 - 3.01580i) q^{11} +(9.92000 + 5.05449i) q^{12} +(-1.03889 + 0.164544i) q^{13} +(4.63320 + 4.63320i) q^{14} +(-0.150848 + 0.296056i) q^{15} +(-2.71311 + 1.97119i) q^{16} +(3.25831 - 1.66019i) q^{17} +(-10.1912 - 7.40435i) q^{18} +(-2.25168 - 0.356630i) q^{19} +(-0.265483 - 0.365406i) q^{20} +(-4.54151 - 6.25085i) q^{21} +(-8.11352 - 1.28505i) q^{22} +(6.06568 + 4.40698i) q^{23} +(11.6983 - 5.96057i) q^{24} +(-4.03418 + 2.93100i) q^{25} +(-1.15895 + 2.27456i) q^{26} +(4.43263 + 4.43263i) q^{27} +(10.3735 - 1.64301i) q^{28} +(1.31408 + 0.669558i) q^{29} +(0.366106 + 0.718523i) q^{30} +(-0.964816 + 2.96940i) q^{31} -1.03614i q^{32} +(9.21257 + 2.99335i) q^{33} +(1.38839 - 8.76594i) q^{34} +(0.0490344 + 0.309591i) q^{35} +(-19.2037 + 6.23967i) q^{36} +(-0.348766 - 1.07339i) q^{37} +(-3.91235 + 3.91235i) q^{38} +(1.76938 - 2.43534i) q^{39} -0.532633 q^{40} +(-1.32339 + 6.26487i) q^{41} -18.7520 q^{42} +(0.583672 - 0.803355i) q^{43} +(-9.31076 + 9.31076i) q^{44} +(-0.186219 - 0.573122i) q^{45} +(17.3060 - 5.62305i) q^{46} +(-1.73020 - 10.9241i) q^{47} +(1.50140 - 9.47944i) q^{48} +(-0.274693 - 0.0892531i) q^{49} +12.1022i q^{50} +(-3.23405 + 9.95337i) q^{51} +(1.85769 + 3.64593i) q^{52} +(0.482987 + 0.246094i) q^{53} +(15.0267 - 2.37999i) q^{54} +(-0.277873 - 0.277873i) q^{55} +(5.62295 - 11.0357i) q^{56} +(5.27833 - 3.83493i) q^{57} +(3.18926 - 1.62501i) q^{58} +(-1.57246 - 1.14246i) q^{59} +(1.27671 + 0.202210i) q^{60} +(-5.95937 - 8.20238i) q^{61} +(4.45398 + 6.13037i) q^{62} +(13.8404 + 2.19211i) q^{63} +(-7.46066 - 5.42048i) q^{64} +(-0.108810 + 0.0554416i) q^{65} +(19.0195 - 13.8185i) q^{66} +(-6.02949 + 11.8335i) q^{67} +(-10.0595 - 10.0595i) q^{68} +(-21.1931 + 3.35666i) q^{69} +(0.677824 + 0.345368i) q^{70} +(-4.28484 - 8.40947i) q^{71} +(-7.35820 + 22.6462i) q^{72} +10.9108i q^{73} +(-2.60511 - 0.846450i) q^{74} +(2.23245 - 14.0952i) q^{75} +(1.38738 + 8.75960i) q^{76} +(8.69075 - 2.82380i) q^{77} +(-2.25762 - 6.94824i) q^{78} +(7.58864 - 7.58864i) q^{79} +(-0.228859 + 0.314998i) q^{80} -2.36906 q^{81} +(10.4130 + 11.5356i) q^{82} -0.635212 q^{83} +(-17.6676 + 24.3174i) q^{84} +(0.300218 - 0.300218i) q^{85} +(-0.744731 - 2.29205i) q^{86} +(-4.01421 + 1.30430i) q^{87} +(2.42908 + 15.3366i) q^{88} +(0.753161 - 4.75527i) q^{89} +(-1.39096 - 0.451950i) q^{90} -2.83974i q^{91} +(9.01328 - 27.7400i) q^{92} +(-4.05659 - 7.96151i) q^{93} +(-23.9173 - 12.1865i) q^{94} +(-0.261424 + 0.0414055i) q^{95} +(2.09680 + 2.09680i) q^{96} +(-1.25412 + 2.46135i) q^{97} +(-0.567108 + 0.412028i) q^{98} +(-15.6532 + 7.97572i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 10q^{2} - 6q^{3} - 10q^{5} - 2q^{6} - 8q^{7} - 10q^{8} + O(q^{10}) \) \( 24q - 10q^{2} - 6q^{3} - 10q^{5} - 2q^{6} - 8q^{7} - 10q^{8} + 6q^{10} - 16q^{11} + 2q^{12} + 14q^{14} + 8q^{15} - 20q^{16} + 8q^{17} + 16q^{19} + 20q^{20} - 10q^{21} + 6q^{22} + 12q^{23} + 68q^{24} - 8q^{25} - 28q^{26} - 6q^{27} + 18q^{28} + 40q^{29} - 36q^{30} - 12q^{31} + 10q^{33} - 16q^{34} - 36q^{35} - 40q^{36} + 46q^{38} - 50q^{39} - 44q^{40} - 4q^{41} - 40q^{42} - 48q^{44} + 16q^{45} + 70q^{46} - 12q^{47} - 50q^{48} - 30q^{49} - 24q^{51} + 20q^{52} - 26q^{53} + 68q^{54} + 20q^{55} + 106q^{56} + 10q^{57} - 20q^{58} + 6q^{59} + 76q^{60} + 30q^{61} - 10q^{62} + 92q^{63} + 70q^{64} + 68q^{65} + 34q^{66} - 22q^{67} - 20q^{68} - 38q^{69} - 20q^{70} + 4q^{71} - 74q^{72} + 10q^{74} + 4q^{75} - 128q^{76} - 20q^{77} - 10q^{78} - 2q^{79} - 70q^{80} + 28q^{81} - 90q^{82} + 80q^{83} - 30q^{84} - 56q^{85} - 46q^{86} - 10q^{87} + 10q^{88} - 72q^{89} - 70q^{90} - 6q^{93} - 18q^{94} - 40q^{95} + 66q^{96} - 22q^{97} + 6q^{98} + 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/41\mathbb{Z}\right)^\times\).

\(n\) \(6\)
\(\chi(n)\) \(e\left(\frac{9}{20}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.42655 1.96347i 1.00872 1.38838i 0.0889021 0.996040i \(-0.471664\pi\)
0.919818 0.392344i \(-0.128336\pi\)
\(3\) −2.02366 + 2.02366i −1.16836 + 1.16836i −0.185767 + 0.982594i \(0.559477\pi\)
−0.982594 + 0.185767i \(0.940523\pi\)
\(4\) −1.20216 3.69986i −0.601078 1.84993i
\(5\) 0.110420 0.0358775i 0.0493811 0.0160449i −0.284222 0.958758i \(-0.591735\pi\)
0.333603 + 0.942714i \(0.391735\pi\)
\(6\) 1.08656 + 6.86025i 0.443585 + 2.80068i
\(7\) −0.422339 + 2.66654i −0.159629 + 1.00786i 0.769646 + 0.638471i \(0.220433\pi\)
−0.929275 + 0.369388i \(0.879567\pi\)
\(8\) −4.36309 1.41766i −1.54259 0.501217i
\(9\) 5.19040i 1.73013i
\(10\) 0.0870742 0.267987i 0.0275353 0.0847449i
\(11\) −1.53663 3.01580i −0.463311 0.909299i −0.997936 0.0642096i \(-0.979547\pi\)
0.534626 0.845089i \(-0.320453\pi\)
\(12\) 9.92000 + 5.05449i 2.86366 + 1.45911i
\(13\) −1.03889 + 0.164544i −0.288136 + 0.0456362i −0.298829 0.954307i \(-0.596596\pi\)
0.0106934 + 0.999943i \(0.496596\pi\)
\(14\) 4.63320 + 4.63320i 1.23827 + 1.23827i
\(15\) −0.150848 + 0.296056i −0.0389488 + 0.0764412i
\(16\) −2.71311 + 1.97119i −0.678278 + 0.492798i
\(17\) 3.25831 1.66019i 0.790256 0.402655i −0.0117807 0.999931i \(-0.503750\pi\)
0.802036 + 0.597275i \(0.203750\pi\)
\(18\) −10.1912 7.40435i −2.40209 1.74522i
\(19\) −2.25168 0.356630i −0.516570 0.0818166i −0.107294 0.994227i \(-0.534219\pi\)
−0.409276 + 0.912411i \(0.634219\pi\)
\(20\) −0.265483 0.365406i −0.0593638 0.0817073i
\(21\) −4.54151 6.25085i −0.991038 1.36405i
\(22\) −8.11352 1.28505i −1.72981 0.273975i
\(23\) 6.06568 + 4.40698i 1.26478 + 0.918918i 0.998982 0.0451098i \(-0.0143638\pi\)
0.265800 + 0.964028i \(0.414364\pi\)
\(24\) 11.6983 5.96057i 2.38790 1.21670i
\(25\) −4.03418 + 2.93100i −0.806836 + 0.586201i
\(26\) −1.15895 + 2.27456i −0.227288 + 0.446078i
\(27\) 4.43263 + 4.43263i 0.853060 + 0.853060i
\(28\) 10.3735 1.64301i 1.96042 0.310499i
\(29\) 1.31408 + 0.669558i 0.244019 + 0.124334i 0.571723 0.820446i \(-0.306275\pi\)
−0.327705 + 0.944780i \(0.606275\pi\)
\(30\) 0.366106 + 0.718523i 0.0668414 + 0.131184i
\(31\) −0.964816 + 2.96940i −0.173286 + 0.533320i −0.999551 0.0299620i \(-0.990461\pi\)
0.826265 + 0.563282i \(0.190461\pi\)
\(32\) 1.03614i 0.183165i
\(33\) 9.21257 + 2.99335i 1.60370 + 0.521075i
\(34\) 1.38839 8.76594i 0.238107 1.50335i
\(35\) 0.0490344 + 0.309591i 0.00828833 + 0.0523305i
\(36\) −19.2037 + 6.23967i −3.20062 + 1.03995i
\(37\) −0.348766 1.07339i −0.0573368 0.176465i 0.918286 0.395917i \(-0.129573\pi\)
−0.975623 + 0.219452i \(0.929573\pi\)
\(38\) −3.91235 + 3.91235i −0.634668 + 0.634668i
\(39\) 1.76938 2.43534i 0.283327 0.389966i
\(40\) −0.532633 −0.0842167
\(41\) −1.32339 + 6.26487i −0.206678 + 0.978409i
\(42\) −18.7520 −2.89350
\(43\) 0.583672 0.803355i 0.0890091 0.122511i −0.762190 0.647353i \(-0.775876\pi\)
0.851199 + 0.524843i \(0.175876\pi\)
\(44\) −9.31076 + 9.31076i −1.40365 + 1.40365i
\(45\) −0.186219 0.573122i −0.0277598 0.0854360i
\(46\) 17.3060 5.62305i 2.55162 0.829073i
\(47\) −1.73020 10.9241i −0.252376 1.59344i −0.709939 0.704263i \(-0.751278\pi\)
0.457563 0.889177i \(-0.348722\pi\)
\(48\) 1.50140 9.47944i 0.216708 1.36824i
\(49\) −0.274693 0.0892531i −0.0392418 0.0127504i
\(50\) 12.1022i 1.71151i
\(51\) −3.23405 + 9.95337i −0.452857 + 1.39375i
\(52\) 1.85769 + 3.64593i 0.257616 + 0.505599i
\(53\) 0.482987 + 0.246094i 0.0663434 + 0.0338036i 0.486847 0.873487i \(-0.338147\pi\)
−0.420504 + 0.907291i \(0.638147\pi\)
\(54\) 15.0267 2.37999i 2.04487 0.323876i
\(55\) −0.277873 0.277873i −0.0374684 0.0374684i
\(56\) 5.62295 11.0357i 0.751398 1.47470i
\(57\) 5.27833 3.83493i 0.699131 0.507949i
\(58\) 3.18926 1.62501i 0.418770 0.213374i
\(59\) −1.57246 1.14246i −0.204717 0.148735i 0.480703 0.876883i \(-0.340381\pi\)
−0.685420 + 0.728148i \(0.740381\pi\)
\(60\) 1.27671 + 0.202210i 0.164822 + 0.0261052i
\(61\) −5.95937 8.20238i −0.763020 1.05021i −0.996957 0.0779548i \(-0.975161\pi\)
0.233937 0.972252i \(-0.424839\pi\)
\(62\) 4.45398 + 6.13037i 0.565656 + 0.778558i
\(63\) 13.8404 + 2.19211i 1.74373 + 0.276180i
\(64\) −7.46066 5.42048i −0.932582 0.677561i
\(65\) −0.108810 + 0.0554416i −0.0134962 + 0.00687668i
\(66\) 19.0195 13.8185i 2.34114 1.70094i
\(67\) −6.02949 + 11.8335i −0.736619 + 1.44570i 0.152635 + 0.988283i \(0.451224\pi\)
−0.889254 + 0.457414i \(0.848776\pi\)
\(68\) −10.0595 10.0595i −1.21989 1.21989i
\(69\) −21.1931 + 3.35666i −2.55135 + 0.404094i
\(70\) 0.677824 + 0.345368i 0.0810154 + 0.0412794i
\(71\) −4.28484 8.40947i −0.508517 0.998021i −0.992419 0.122899i \(-0.960781\pi\)
0.483902 0.875122i \(-0.339219\pi\)
\(72\) −7.35820 + 22.6462i −0.867172 + 2.66888i
\(73\) 10.9108i 1.27702i 0.769615 + 0.638508i \(0.220448\pi\)
−0.769615 + 0.638508i \(0.779552\pi\)
\(74\) −2.60511 0.846450i −0.302837 0.0983978i
\(75\) 2.23245 14.0952i 0.257782 1.62757i
\(76\) 1.38738 + 8.75960i 0.159144 + 1.00480i
\(77\) 8.69075 2.82380i 0.990403 0.321801i
\(78\) −2.25762 6.94824i −0.255625 0.786734i
\(79\) 7.58864 7.58864i 0.853789 0.853789i −0.136809 0.990597i \(-0.543685\pi\)
0.990597 + 0.136809i \(0.0436846\pi\)
\(80\) −0.228859 + 0.314998i −0.0255873 + 0.0352178i
\(81\) −2.36906 −0.263229
\(82\) 10.4130 + 11.5356i 1.14993 + 1.27389i
\(83\) −0.635212 −0.0697236 −0.0348618 0.999392i \(-0.511099\pi\)
−0.0348618 + 0.999392i \(0.511099\pi\)
\(84\) −17.6676 + 24.3174i −1.92770 + 2.65325i
\(85\) 0.300218 0.300218i 0.0325632 0.0325632i
\(86\) −0.744731 2.29205i −0.0803064 0.247158i
\(87\) −4.01421 + 1.30430i −0.430369 + 0.139835i
\(88\) 2.42908 + 15.3366i 0.258941 + 1.63489i
\(89\) 0.753161 4.75527i 0.0798350 0.504058i −0.915074 0.403285i \(-0.867868\pi\)
0.994909 0.100773i \(-0.0321316\pi\)
\(90\) −1.39096 0.451950i −0.146620 0.0476397i
\(91\) 2.83974i 0.297685i
\(92\) 9.01328 27.7400i 0.939699 2.89210i
\(93\) −4.05659 7.96151i −0.420649 0.825570i
\(94\) −23.9173 12.1865i −2.46689 1.25694i
\(95\) −0.261424 + 0.0414055i −0.0268216 + 0.00424812i
\(96\) 2.09680 + 2.09680i 0.214003 + 0.214003i
\(97\) −1.25412 + 2.46135i −0.127337 + 0.249913i −0.945869 0.324548i \(-0.894788\pi\)
0.818533 + 0.574460i \(0.194788\pi\)
\(98\) −0.567108 + 0.412028i −0.0572866 + 0.0416211i
\(99\) −15.6532 + 7.97572i −1.57321 + 0.801590i
\(100\) 15.6940 + 11.4024i 1.56940 + 1.14024i
\(101\) 9.34392 + 1.47993i 0.929755 + 0.147259i 0.602901 0.797816i \(-0.294012\pi\)
0.326854 + 0.945075i \(0.394012\pi\)
\(102\) 14.9296 + 20.5489i 1.47826 + 2.03464i
\(103\) 3.69313 + 5.08316i 0.363895 + 0.500858i 0.951229 0.308486i \(-0.0998225\pi\)
−0.587334 + 0.809345i \(0.699822\pi\)
\(104\) 4.76603 + 0.754866i 0.467348 + 0.0740207i
\(105\) −0.725737 0.527278i −0.0708246 0.0514571i
\(106\) 1.17220 0.597267i 0.113854 0.0580117i
\(107\) −11.1143 + 8.07504i −1.07446 + 0.780644i −0.976709 0.214567i \(-0.931166\pi\)
−0.0977545 + 0.995211i \(0.531166\pi\)
\(108\) 11.0714 21.7288i 1.06534 2.09085i
\(109\) 10.4978 + 10.4978i 1.00551 + 1.00551i 0.999985 + 0.00552465i \(0.00175856\pi\)
0.00552465 + 0.999985i \(0.498241\pi\)
\(110\) −0.941996 + 0.149197i −0.0898158 + 0.0142254i
\(111\) 2.87796 + 1.46640i 0.273164 + 0.139184i
\(112\) −4.11042 8.06715i −0.388398 0.762274i
\(113\) 2.45600 7.55880i 0.231041 0.711073i −0.766580 0.642148i \(-0.778043\pi\)
0.997622 0.0689242i \(-0.0219567\pi\)
\(114\) 15.8345i 1.48304i
\(115\) 0.827882 + 0.268995i 0.0772004 + 0.0250839i
\(116\) 0.897537 5.66683i 0.0833342 0.526151i
\(117\) 0.854048 + 5.39225i 0.0789568 + 0.498514i
\(118\) −4.48637 + 1.45771i −0.413004 + 0.134193i
\(119\) 3.05086 + 9.38959i 0.279672 + 0.860742i
\(120\) 1.07787 1.07787i 0.0983955 0.0983955i
\(121\) −0.268199 + 0.369145i −0.0243818 + 0.0335586i
\(122\) −24.6065 −2.22776
\(123\) −9.99989 15.3561i −0.901660 1.38461i
\(124\) 12.1462 1.09076
\(125\) −0.681511 + 0.938019i −0.0609562 + 0.0838990i
\(126\) 24.0482 24.0482i 2.14238 2.14238i
\(127\) −2.50455 7.70820i −0.222243 0.683993i −0.998560 0.0536500i \(-0.982914\pi\)
0.776317 0.630343i \(-0.217086\pi\)
\(128\) −19.3151 + 6.27585i −1.70723 + 0.554712i
\(129\) 0.444565 + 2.80687i 0.0391417 + 0.247131i
\(130\) −0.0463648 + 0.292736i −0.00406646 + 0.0256746i
\(131\) −10.8285 3.51838i −0.946087 0.307402i −0.204962 0.978770i \(-0.565707\pi\)
−0.741125 + 0.671368i \(0.765707\pi\)
\(132\) 37.6836i 3.27994i
\(133\) 1.90194 5.85357i 0.164919 0.507569i
\(134\) 14.6335 + 28.7198i 1.26414 + 2.48101i
\(135\) 0.648481 + 0.330417i 0.0558123 + 0.0284378i
\(136\) −16.5699 + 2.62441i −1.42086 + 0.225041i
\(137\) 4.26765 + 4.26765i 0.364610 + 0.364610i 0.865507 0.500897i \(-0.166996\pi\)
−0.500897 + 0.865507i \(0.666996\pi\)
\(138\) −23.6422 + 46.4005i −2.01256 + 3.94987i
\(139\) 14.2798 10.3749i 1.21120 0.879987i 0.215860 0.976424i \(-0.430745\pi\)
0.995339 + 0.0964369i \(0.0307446\pi\)
\(140\) 1.08650 0.553597i 0.0918257 0.0467875i
\(141\) 25.6080 + 18.6053i 2.15658 + 1.56685i
\(142\) −22.6243 3.58334i −1.89859 0.300707i
\(143\) 2.09262 + 2.88024i 0.174993 + 0.240858i
\(144\) 10.2313 + 14.0821i 0.852606 + 1.17351i
\(145\) 0.169122 + 0.0267864i 0.0140449 + 0.00222449i
\(146\) 21.4231 + 15.5648i 1.77299 + 1.28815i
\(147\) 0.736503 0.375267i 0.0607458 0.0309515i
\(148\) −3.55212 + 2.58077i −0.291983 + 0.212138i
\(149\) 0.491547 0.964715i 0.0402691 0.0790326i −0.869995 0.493060i \(-0.835878\pi\)
0.910264 + 0.414028i \(0.135878\pi\)
\(150\) −24.4908 24.4908i −1.99966 1.99966i
\(151\) 12.9796 2.05577i 1.05626 0.167296i 0.395940 0.918276i \(-0.370419\pi\)
0.660324 + 0.750980i \(0.270419\pi\)
\(152\) 9.31869 + 4.74811i 0.755846 + 0.385123i
\(153\) −8.61706 16.9119i −0.696648 1.36725i
\(154\) 6.85331 21.0923i 0.552255 1.69967i
\(155\) 0.362495i 0.0291163i
\(156\) −11.1375 3.61878i −0.891711 0.289734i
\(157\) −2.56436 + 16.1907i −0.204658 + 1.29216i 0.644737 + 0.764404i \(0.276967\pi\)
−0.849396 + 0.527757i \(0.823033\pi\)
\(158\) −4.07454 25.7256i −0.324153 2.04662i
\(159\) −1.47541 + 0.479391i −0.117008 + 0.0380181i
\(160\) −0.0371741 0.114410i −0.00293887 0.00904492i
\(161\) −14.3132 + 14.3132i −1.12804 + 1.12804i
\(162\) −3.37958 + 4.65159i −0.265525 + 0.365463i
\(163\) 14.6327 1.14612 0.573059 0.819514i \(-0.305757\pi\)
0.573059 + 0.819514i \(0.305757\pi\)
\(164\) 24.7700 2.63502i 1.93422 0.205761i
\(165\) 1.12464 0.0875533
\(166\) −0.906159 + 1.24722i −0.0703316 + 0.0968032i
\(167\) −8.21554 + 8.21554i −0.635738 + 0.635738i −0.949501 0.313764i \(-0.898410\pi\)
0.313764 + 0.949501i \(0.398410\pi\)
\(168\) 10.9535 + 33.7113i 0.845079 + 2.60089i
\(169\) −11.3115 + 3.67534i −0.870117 + 0.282718i
\(170\) −0.161195 1.01774i −0.0123631 0.0780573i
\(171\) −1.85106 + 11.6871i −0.141554 + 0.893735i
\(172\) −3.67396 1.19374i −0.280137 0.0910220i
\(173\) 2.01872i 0.153480i −0.997051 0.0767400i \(-0.975549\pi\)
0.997051 0.0767400i \(-0.0244512\pi\)
\(174\) −3.16551 + 9.74244i −0.239977 + 0.738572i
\(175\) −6.11186 11.9952i −0.462013 0.906752i
\(176\) 10.1138 + 5.15322i 0.762354 + 0.388439i
\(177\) 5.49407 0.870175i 0.412960 0.0654064i
\(178\) −8.26243 8.26243i −0.619295 0.619295i
\(179\) 8.10933 15.9155i 0.606120 1.18958i −0.360355 0.932815i \(-0.617344\pi\)
0.966475 0.256762i \(-0.0826555\pi\)
\(180\) −1.89660 + 1.37796i −0.141365 + 0.102707i
\(181\) −1.57724 + 0.803644i −0.117235 + 0.0597344i −0.511625 0.859209i \(-0.670956\pi\)
0.394389 + 0.918943i \(0.370956\pi\)
\(182\) −5.57574 4.05101i −0.413302 0.300281i
\(183\) 28.6586 + 4.53907i 2.11850 + 0.335538i
\(184\) −20.2176 27.8271i −1.49046 2.05144i
\(185\) −0.0770212 0.106011i −0.00566271 0.00779406i
\(186\) −21.4191 3.39246i −1.57053 0.248747i
\(187\) −10.0136 7.27532i −0.732268 0.532024i
\(188\) −38.3375 + 19.5339i −2.79605 + 1.42466i
\(189\) −13.6919 + 9.94773i −0.995937 + 0.723591i
\(190\) −0.291635 + 0.572366i −0.0211574 + 0.0415238i
\(191\) −3.86040 3.86040i −0.279329 0.279329i 0.553512 0.832841i \(-0.313287\pi\)
−0.832841 + 0.553512i \(0.813287\pi\)
\(192\) 26.0671 4.12862i 1.88123 0.297957i
\(193\) −5.84374 2.97753i −0.420641 0.214328i 0.230841 0.972992i \(-0.425852\pi\)
−0.651482 + 0.758664i \(0.725852\pi\)
\(194\) 3.04374 + 5.97367i 0.218527 + 0.428884i
\(195\) 0.108000 0.332390i 0.00773404 0.0238029i
\(196\) 1.12362i 0.0802586i
\(197\) −4.06150 1.31966i −0.289370 0.0940220i 0.160735 0.986998i \(-0.448613\pi\)
−0.450105 + 0.892976i \(0.648613\pi\)
\(198\) −6.66995 + 42.1124i −0.474013 + 2.99280i
\(199\) −2.50210 15.7976i −0.177369 1.11986i −0.902321 0.431064i \(-0.858138\pi\)
0.724952 0.688799i \(-0.241862\pi\)
\(200\) 21.7567 7.06917i 1.53843 0.499866i
\(201\) −11.7454 36.1487i −0.828458 2.54973i
\(202\) 16.2353 16.2353i 1.14231 1.14231i
\(203\) −2.34039 + 3.22128i −0.164263 + 0.226089i
\(204\) 40.7139 2.85054
\(205\) 0.0786403 + 0.739245i 0.00549248 + 0.0516311i
\(206\) 15.2491 1.06245
\(207\) 22.8740 31.4833i 1.58985 2.18824i
\(208\) 2.49427 2.49427i 0.172947 0.172947i
\(209\) 2.38446 + 7.33862i 0.164937 + 0.507623i
\(210\) −2.07059 + 0.672777i −0.142885 + 0.0464260i
\(211\) 3.90790 + 24.6735i 0.269031 + 1.69859i 0.638722 + 0.769438i \(0.279464\pi\)
−0.369691 + 0.929155i \(0.620536\pi\)
\(212\) 0.329887 2.08283i 0.0226567 0.143049i
\(213\) 25.6890 + 8.34685i 1.76018 + 0.571917i
\(214\) 33.3421i 2.27922i
\(215\) 0.0356264 0.109647i 0.00242970 0.00747785i
\(216\) −13.0560 25.6239i −0.888351 1.74349i
\(217\) −7.51055 3.82682i −0.509849 0.259781i
\(218\) 35.5878 5.63656i 2.41031 0.381756i
\(219\) −22.0798 22.0798i −1.49202 1.49202i
\(220\) −0.694044 + 1.36214i −0.0467924 + 0.0918353i
\(221\) −3.11184 + 2.26089i −0.209325 + 0.152084i
\(222\) 6.98478 3.55892i 0.468788 0.238859i
\(223\) −2.68513 1.95086i −0.179809 0.130639i 0.494240 0.869326i \(-0.335446\pi\)
−0.674049 + 0.738686i \(0.735446\pi\)
\(224\) 2.76291 + 0.437603i 0.184605 + 0.0292386i
\(225\) 15.2131 + 20.9390i 1.01421 + 1.39593i
\(226\) −11.3379 15.6053i −0.754186 1.03805i
\(227\) −7.61270 1.20573i −0.505272 0.0800273i −0.101406 0.994845i \(-0.532334\pi\)
−0.403867 + 0.914818i \(0.632334\pi\)
\(228\) −20.5340 14.9189i −1.35990 0.988026i
\(229\) 4.43150 2.25796i 0.292842 0.149210i −0.301398 0.953499i \(-0.597453\pi\)
0.594240 + 0.804288i \(0.297453\pi\)
\(230\) 1.70918 1.24179i 0.112700 0.0818811i
\(231\) −11.8727 + 23.3015i −0.781168 + 1.53313i
\(232\) −4.78426 4.78426i −0.314102 0.314102i
\(233\) −10.5733 + 1.67465i −0.692680 + 0.109710i −0.492841 0.870119i \(-0.664042\pi\)
−0.199838 + 0.979829i \(0.564042\pi\)
\(234\) 11.8059 + 6.01539i 0.771774 + 0.393238i
\(235\) −0.582977 1.14416i −0.0380292 0.0746366i
\(236\) −2.33659 + 7.19128i −0.152099 + 0.468113i
\(237\) 30.7137i 1.99507i
\(238\) 22.7884 + 7.40440i 1.47715 + 0.479956i
\(239\) −1.44605 + 9.13003i −0.0935375 + 0.590572i 0.895746 + 0.444566i \(0.146642\pi\)
−0.989284 + 0.146006i \(0.953358\pi\)
\(240\) −0.174315 1.10058i −0.0112520 0.0710423i
\(241\) −26.9539 + 8.75786i −1.73626 + 0.564144i −0.994330 0.106339i \(-0.966087\pi\)
−0.741925 + 0.670482i \(0.766087\pi\)
\(242\) 0.342207 + 1.05320i 0.0219979 + 0.0677025i
\(243\) −8.50371 + 8.50371i −0.545513 + 0.545513i
\(244\) −23.1835 + 31.9094i −1.48417 + 2.04279i
\(245\) −0.0335337 −0.00214239
\(246\) −44.4165 2.27161i −2.83189 0.144833i
\(247\) 2.39792 0.152576
\(248\) 8.41916 11.5880i 0.534617 0.735838i
\(249\) 1.28545 1.28545i 0.0814623 0.0814623i
\(250\) 0.869568 + 2.67626i 0.0549963 + 0.169261i
\(251\) 6.28383 2.04174i 0.396632 0.128874i −0.103908 0.994587i \(-0.533135\pi\)
0.500540 + 0.865713i \(0.333135\pi\)
\(252\) −8.52787 53.8429i −0.537205 3.39178i
\(253\) 3.96987 25.0648i 0.249584 1.57581i
\(254\) −18.7077 6.07850i −1.17383 0.381399i
\(255\) 1.21508i 0.0760910i
\(256\) −9.53197 + 29.3364i −0.595748 + 1.83352i
\(257\) −1.99593 3.91722i −0.124502 0.244350i 0.820339 0.571877i \(-0.193785\pi\)
−0.944842 + 0.327527i \(0.893785\pi\)
\(258\) 6.14541 + 3.13124i 0.382596 + 0.194943i
\(259\) 3.00954 0.476665i 0.187004 0.0296185i
\(260\) 0.335933 + 0.335933i 0.0208337 + 0.0208337i
\(261\) 3.47528 6.82061i 0.215114 0.422185i
\(262\) −22.3555 + 16.2422i −1.38113 + 1.00345i
\(263\) −11.1561 + 5.68432i −0.687915 + 0.350510i −0.762757 0.646685i \(-0.776155\pi\)
0.0748417 + 0.997195i \(0.476155\pi\)
\(264\) −35.9518 26.1205i −2.21268 1.60761i
\(265\) 0.0621605 + 0.00984525i 0.00381849 + 0.000604789i
\(266\) −8.78012 12.0848i −0.538344 0.740967i
\(267\) 8.09892 + 11.1472i 0.495646 + 0.682198i
\(268\) 51.0308 + 8.08248i 3.11720 + 0.493716i
\(269\) −2.86327 2.08029i −0.174577 0.126838i 0.497066 0.867713i \(-0.334411\pi\)
−0.671642 + 0.740875i \(0.734411\pi\)
\(270\) 1.57385 0.801918i 0.0957817 0.0488032i
\(271\) 3.09632 2.24961i 0.188088 0.136654i −0.489756 0.871859i \(-0.662914\pi\)
0.677845 + 0.735205i \(0.262914\pi\)
\(272\) −5.56760 + 10.9270i −0.337585 + 0.662549i
\(273\) 5.74666 + 5.74666i 0.347804 + 0.347804i
\(274\) 14.4674 2.29141i 0.874009 0.138429i
\(275\) 15.0384 + 7.66243i 0.906847 + 0.462062i
\(276\) 37.8966 + 74.3762i 2.28111 + 4.47692i
\(277\) 9.27253 28.5379i 0.557132 1.71468i −0.133112 0.991101i \(-0.542497\pi\)
0.690244 0.723576i \(-0.257503\pi\)
\(278\) 42.8383i 2.56927i
\(279\) 15.4124 + 5.00778i 0.922714 + 0.299808i
\(280\) 0.224952 1.42029i 0.0134434 0.0848785i
\(281\) 0.860451 + 5.43268i 0.0513302 + 0.324086i 0.999970 + 0.00772841i \(0.00246005\pi\)
−0.948640 + 0.316358i \(0.897540\pi\)
\(282\) 73.0619 23.7392i 4.35077 1.41365i
\(283\) 9.37505 + 28.8534i 0.557289 + 1.71516i 0.689822 + 0.723979i \(0.257689\pi\)
−0.132533 + 0.991179i \(0.542311\pi\)
\(284\) −25.9628 + 25.9628i −1.54061 + 1.54061i
\(285\) 0.445243 0.612824i 0.0263739 0.0363006i
\(286\) 8.64049 0.510923
\(287\) −16.1466 6.17477i −0.953106 0.364485i
\(288\) −5.37798 −0.316901
\(289\) −2.13201 + 2.93447i −0.125413 + 0.172616i
\(290\) 0.293855 0.293855i 0.0172558 0.0172558i
\(291\) −2.44303 7.51886i −0.143213 0.440763i
\(292\) 40.3685 13.1165i 2.36239 0.767587i
\(293\) −3.14362 19.8480i −0.183652 1.15953i −0.891450 0.453119i \(-0.850311\pi\)
0.707798 0.706415i \(-0.249689\pi\)
\(294\) 0.313829 1.98144i 0.0183029 0.115560i
\(295\) −0.214619 0.0697339i −0.0124956 0.00406006i
\(296\) 5.17774i 0.300950i
\(297\) 6.55663 20.1792i 0.380454 1.17092i
\(298\) −1.19298 2.34135i −0.0691073 0.135631i
\(299\) −7.02671 3.58029i −0.406365 0.207053i
\(300\) −54.8338 + 8.68482i −3.16583 + 0.501419i
\(301\) 1.89568 + 1.89568i 0.109265 + 0.109265i
\(302\) 14.4796 28.4177i 0.833205 1.63526i
\(303\) −21.9038 + 15.9140i −1.25834 + 0.914237i
\(304\) 6.81204 3.47091i 0.390697 0.199070i
\(305\) −0.952313 0.691896i −0.0545293 0.0396178i
\(306\) −45.4987 7.20629i −2.60099 0.411956i
\(307\) 0.132775 + 0.182749i 0.00757787 + 0.0104300i 0.812789 0.582558i \(-0.197948\pi\)
−0.805211 + 0.592988i \(0.797948\pi\)
\(308\) −20.8953 28.7599i −1.19062 1.63875i
\(309\) −17.7602 2.81294i −1.01034 0.160023i
\(310\) 0.711749 + 0.517116i 0.0404246 + 0.0293702i
\(311\) 12.9469 6.59679i 0.734153 0.374070i −0.0465963 0.998914i \(-0.514837\pi\)
0.780750 + 0.624844i \(0.214837\pi\)
\(312\) −11.1724 + 8.11724i −0.632514 + 0.459548i
\(313\) 3.71571 7.29249i 0.210024 0.412196i −0.761831 0.647776i \(-0.775699\pi\)
0.971855 + 0.235581i \(0.0756992\pi\)
\(314\) 28.1319 + 28.1319i 1.58757 + 1.58757i
\(315\) 1.60690 0.254508i 0.0905387 0.0143399i
\(316\) −37.1996 18.9541i −2.09264 1.06625i
\(317\) 4.35992 + 8.55683i 0.244878 + 0.480600i 0.980430 0.196868i \(-0.0630772\pi\)
−0.735552 + 0.677468i \(0.763077\pi\)
\(318\) −1.16347 + 3.58080i −0.0652444 + 0.200802i
\(319\) 4.99187i 0.279491i
\(320\) −1.01828 0.330858i −0.0569234 0.0184955i
\(321\) 6.15051 38.8328i 0.343288 2.16743i
\(322\) 7.68512 + 48.5219i 0.428275 + 2.70402i
\(323\) −7.92873 + 2.57620i −0.441166 + 0.143344i
\(324\) 2.84798 + 8.76519i 0.158221 + 0.486955i
\(325\) 3.70878 3.70878i 0.205726 0.205726i
\(326\) 20.8742 28.7308i 1.15611 1.59125i
\(327\) −42.4881 −2.34960
\(328\) 14.6555 25.4581i 0.809214 1.40569i
\(329\) 29.8603 1.64625
\(330\) 1.60435 2.20820i 0.0883168 0.121558i
\(331\) 3.24814 3.24814i 0.178534 0.178534i −0.612183 0.790716i \(-0.709708\pi\)
0.790716 + 0.612183i \(0.209708\pi\)
\(332\) 0.763624 + 2.35019i 0.0419093 + 0.128984i
\(333\) −5.57133 + 1.81024i −0.305307 + 0.0992003i
\(334\) 4.41114 + 27.8508i 0.241367 + 1.52393i
\(335\) −0.241216 + 1.52298i −0.0131790 + 0.0832092i
\(336\) 24.6432 + 8.00708i 1.34440 + 0.436822i
\(337\) 17.7306i 0.965849i 0.875662 + 0.482924i \(0.160425\pi\)
−0.875662 + 0.482924i \(0.839575\pi\)
\(338\) −8.91999 + 27.4529i −0.485183 + 1.49324i
\(339\) 10.3263 + 20.2666i 0.560849 + 1.10073i
\(340\) −1.47167 0.749853i −0.0798125 0.0406665i
\(341\) 10.4377 1.65317i 0.565232 0.0895240i
\(342\) 20.3067 + 20.3067i 1.09806 + 1.09806i
\(343\) −8.22572 + 16.1439i −0.444147 + 0.871688i
\(344\) −3.68550 + 2.67767i −0.198709 + 0.144370i
\(345\) −2.21971 + 1.13100i −0.119505 + 0.0608908i
\(346\) −3.96369 2.87979i −0.213089 0.154819i
\(347\) 15.9671 + 2.52894i 0.857160 + 0.135761i 0.569520 0.821978i \(-0.307129\pi\)
0.287640 + 0.957739i \(0.407129\pi\)
\(348\) 9.65142 + 13.2840i 0.517370 + 0.712099i
\(349\) −6.28967 8.65699i −0.336678 0.463398i 0.606789 0.794863i \(-0.292457\pi\)
−0.943468 + 0.331465i \(0.892457\pi\)
\(350\) −32.2711 5.11124i −1.72496 0.273207i
\(351\) −5.33437 3.87565i −0.284727 0.206867i
\(352\) −3.12479 + 1.59216i −0.166552 + 0.0848625i
\(353\) 21.0319 15.2806i 1.11942 0.813304i 0.135297 0.990805i \(-0.456801\pi\)
0.984121 + 0.177501i \(0.0568012\pi\)
\(354\) 6.12898 12.0288i 0.325752 0.639323i
\(355\) −0.774841 0.774841i −0.0411243 0.0411243i
\(356\) −18.4992 + 2.92999i −0.980458 + 0.155289i
\(357\) −25.1752 12.8274i −1.33241 0.678899i
\(358\) −19.6812 38.6266i −1.04018 2.04148i
\(359\) −3.00578 + 9.25084i −0.158639 + 0.488241i −0.998511 0.0545433i \(-0.982630\pi\)
0.839872 + 0.542784i \(0.182630\pi\)
\(360\) 2.76458i 0.145706i
\(361\) −13.1272 4.26529i −0.690906 0.224489i
\(362\) −0.672073 + 4.24330i −0.0353234 + 0.223023i
\(363\) −0.204279 1.28977i −0.0107219 0.0676952i
\(364\) −10.5066 + 3.41380i −0.550696 + 0.178932i
\(365\) 0.391454 + 1.20477i 0.0204896 + 0.0630606i
\(366\) 49.7951 49.7951i 2.60283 2.60283i
\(367\) 13.2160 18.1902i 0.689868 0.949522i −0.310131 0.950694i \(-0.600373\pi\)
0.999999 + 0.00117139i \(0.000372866\pi\)
\(368\) −25.1439 −1.31072
\(369\) 32.5172 + 6.86890i 1.69278 + 0.357581i
\(370\) −0.318023 −0.0165332
\(371\) −0.860205 + 1.18397i −0.0446596 + 0.0614687i
\(372\) −24.5798 + 24.5798i −1.27440 + 1.27440i
\(373\) −0.994171 3.05974i −0.0514762 0.158428i 0.922014 0.387157i \(-0.126543\pi\)
−0.973490 + 0.228730i \(0.926543\pi\)
\(374\) −28.5698 + 9.28288i −1.47731 + 0.480006i
\(375\) −0.519086 3.27738i −0.0268055 0.169243i
\(376\) −7.93753 + 50.1156i −0.409347 + 2.58452i
\(377\) −1.47536 0.479372i −0.0759847 0.0246889i
\(378\) 41.0745i 2.11264i
\(379\) −5.92193 + 18.2258i −0.304189 + 0.936198i 0.675789 + 0.737095i \(0.263803\pi\)
−0.979978 + 0.199103i \(0.936197\pi\)
\(380\) 0.467467 + 0.917456i 0.0239806 + 0.0470645i
\(381\) 20.6671 + 10.5304i 1.05881 + 0.539490i
\(382\) −13.0868 + 2.07275i −0.669581 + 0.106051i
\(383\) 20.6909 + 20.6909i 1.05726 + 1.05726i 0.998258 + 0.0589972i \(0.0187903\pi\)
0.0589972 + 0.998258i \(0.481210\pi\)
\(384\) 26.3870 51.7874i 1.34656 2.64276i
\(385\) 0.858318 0.623605i 0.0437439 0.0317818i
\(386\) −14.1827 + 7.22643i −0.721879 + 0.367816i
\(387\) −4.16974 3.02949i −0.211960 0.153998i
\(388\) 10.6143 + 1.68114i 0.538859 + 0.0853470i
\(389\) −5.16511 7.10917i −0.261882 0.360449i 0.657746 0.753239i \(-0.271510\pi\)
−0.919628 + 0.392790i \(0.871510\pi\)
\(390\) −0.498571 0.686225i −0.0252461 0.0347483i
\(391\) 27.0803 + 4.28910i 1.36951 + 0.216909i
\(392\) 1.07198 + 0.778840i 0.0541432 + 0.0393373i
\(393\) 29.0331 14.7931i 1.46453 0.746214i
\(394\) −8.38504 + 6.09209i −0.422432 + 0.306915i
\(395\) 0.565673 1.11020i 0.0284621 0.0558600i
\(396\) 48.3266 + 48.3266i 2.42850 + 2.42850i
\(397\) −24.8449 + 3.93505i −1.24693 + 0.197495i −0.744795 0.667294i \(-0.767453\pi\)
−0.502137 + 0.864788i \(0.667453\pi\)
\(398\) −34.5875 17.6232i −1.73372 0.883372i
\(399\) 7.99676 + 15.6945i 0.400339 + 0.785709i
\(400\) 5.16761 15.9043i 0.258381 0.795214i
\(401\) 28.1172i 1.40411i 0.712124 + 0.702054i \(0.247733\pi\)
−0.712124 + 0.702054i \(0.752267\pi\)
\(402\) −87.7324 28.5060i −4.37569 1.42175i
\(403\) 0.513740 3.24363i 0.0255912 0.161577i
\(404\) −5.75731 36.3502i −0.286437 1.80849i
\(405\) −0.261591 + 0.0849960i −0.0129986 + 0.00422349i
\(406\) 2.98621 + 9.19060i 0.148203 + 0.456122i
\(407\) −2.70121 + 2.70121i −0.133894 + 0.133894i
\(408\) 28.2209 38.8427i 1.39714 1.92300i
\(409\) 1.43475 0.0709440 0.0354720 0.999371i \(-0.488707\pi\)
0.0354720 + 0.999371i \(0.488707\pi\)
\(410\) 1.56367 + 0.900159i 0.0772242 + 0.0444557i
\(411\) −17.2726 −0.851992
\(412\) 14.3672 19.7748i 0.707822 0.974234i
\(413\) 3.71053 3.71053i 0.182583 0.182583i
\(414\) −29.1859 89.8249i −1.43441 4.41465i
\(415\) −0.0701399 + 0.0227898i −0.00344303 + 0.00111871i
\(416\) 0.170490 + 1.07643i 0.00835898 + 0.0527765i
\(417\) −7.90224 + 49.8928i −0.386974 + 2.44326i
\(418\) 17.8107 + 5.78705i 0.871151 + 0.283054i
\(419\) 15.5755i 0.760912i −0.924799 0.380456i \(-0.875767\pi\)
0.924799 0.380456i \(-0.124233\pi\)
\(420\) −1.07841 + 3.31899i −0.0526208 + 0.161950i
\(421\) −3.37083 6.61562i −0.164284 0.322426i 0.794159 0.607710i \(-0.207912\pi\)
−0.958443 + 0.285285i \(0.907912\pi\)
\(422\) 54.0205 + 27.5248i 2.62968 + 1.33989i
\(423\) −56.7003 + 8.98045i −2.75687 + 0.436645i
\(424\) −1.75844 1.75844i −0.0853974 0.0853974i
\(425\) −8.27857 + 16.2476i −0.401570 + 0.788125i
\(426\) 53.0353 38.5324i 2.56957 1.86690i
\(427\) 24.3889 12.4268i 1.18026 0.601373i
\(428\) 43.2376 + 31.4140i 2.08997 + 1.51845i
\(429\) −10.0634 1.59388i −0.485864 0.0769533i
\(430\) −0.164466 0.226368i −0.00793125 0.0109164i
\(431\) 20.1133 + 27.6836i 0.968824 + 1.33347i 0.942639 + 0.333815i \(0.108336\pi\)
0.0261853 + 0.999657i \(0.491664\pi\)
\(432\) −20.7638 3.28866i −0.998998 0.158226i
\(433\) −6.78471 4.92938i −0.326053 0.236891i 0.412701 0.910866i \(-0.364585\pi\)
−0.738754 + 0.673975i \(0.764585\pi\)
\(434\) −18.2280 + 9.28763i −0.874972 + 0.445820i
\(435\) −0.396453 + 0.288040i −0.0190085 + 0.0138105i
\(436\) 26.2204 51.4605i 1.25573 2.46451i
\(437\) −12.0863 12.0863i −0.578166 0.578166i
\(438\) −74.8510 + 11.8552i −3.57652 + 0.566465i
\(439\) 21.8040 + 11.1097i 1.04065 + 0.530236i 0.888861 0.458178i \(-0.151498\pi\)
0.151786 + 0.988413i \(0.451498\pi\)
\(440\) 0.818459 + 1.60632i 0.0390185 + 0.0765781i
\(441\) −0.463260 + 1.42577i −0.0220600 + 0.0678936i
\(442\) 9.33528i 0.444034i
\(443\) −13.1456 4.27126i −0.624565 0.202933i −0.0203990 0.999792i \(-0.506494\pi\)
−0.604166 + 0.796858i \(0.706494\pi\)
\(444\) 1.96569 12.4109i 0.0932876 0.588995i
\(445\) −0.0874436 0.552097i −0.00414522 0.0261719i
\(446\) −7.66092 + 2.48918i −0.362755 + 0.117866i
\(447\) 0.957532 + 2.94698i 0.0452897 + 0.139387i
\(448\) 17.6049 17.6049i 0.831753 0.831753i
\(449\) 0.627367 0.863496i 0.0296073 0.0407509i −0.793957 0.607974i \(-0.791982\pi\)
0.823564 + 0.567223i \(0.191982\pi\)
\(450\) 62.8153 2.96114
\(451\) 20.9272 5.63571i 0.985422 0.265375i
\(452\) −30.9190 −1.45431
\(453\) −22.1061 + 30.4265i −1.03864 + 1.42956i
\(454\) −13.2273 + 13.2273i −0.620787 + 0.620787i
\(455\) −0.101883 0.313562i −0.00477633 0.0147000i
\(456\) −28.4664 + 9.24931i −1.33306 + 0.433138i
\(457\) −4.71510 29.7700i −0.220563 1.39258i −0.810787 0.585342i \(-0.800960\pi\)
0.590223 0.807240i \(-0.299040\pi\)
\(458\) 1.88829 11.9222i 0.0882342 0.557089i
\(459\) 21.8019 + 7.08386i 1.01762 + 0.330646i
\(460\) 3.38642i 0.157892i
\(461\) 0.963390 2.96501i 0.0448695 0.138094i −0.926112 0.377249i \(-0.876870\pi\)
0.970982 + 0.239154i \(0.0768702\pi\)
\(462\) 28.8149 + 56.5525i 1.34059 + 2.63106i
\(463\) −6.30485 3.21248i −0.293011 0.149297i 0.301306 0.953528i \(-0.402577\pi\)
−0.594317 + 0.804231i \(0.702577\pi\)
\(464\) −4.88508 + 0.773720i −0.226784 + 0.0359191i
\(465\) −0.733567 0.733567i −0.0340183 0.0340183i
\(466\) −11.7952 + 23.1493i −0.546401 + 1.07237i
\(467\) 31.9737 23.2303i 1.47957 1.07497i 0.501873 0.864941i \(-0.332644\pi\)
0.977695 0.210028i \(-0.0673556\pi\)
\(468\) 18.9238 9.64218i 0.874755 0.445710i
\(469\) −29.0082 21.0757i −1.33947 0.973184i
\(470\) −3.07816 0.487533i −0.141985 0.0224882i
\(471\) −27.5751 37.9539i −1.27060 1.74882i
\(472\) 5.24117 + 7.21386i 0.241245 + 0.332045i
\(473\) −3.31965 0.525780i −0.152638 0.0241754i
\(474\) 60.3054 + 43.8144i 2.76992 + 2.01246i
\(475\) 10.1289 5.16096i 0.464748 0.236801i
\(476\) 31.0725 22.5755i 1.42421 1.03475i
\(477\) 1.27733 2.50690i 0.0584848 0.114783i
\(478\) 15.8637 + 15.8637i 0.725588 + 0.725588i
\(479\) 11.5501 1.82935i 0.527737 0.0835853i 0.113120 0.993581i \(-0.463916\pi\)
0.414617 + 0.909996i \(0.363916\pi\)
\(480\) 0.306755 + 0.156300i 0.0140014 + 0.00713407i
\(481\) 0.538949 + 1.05775i 0.0245740 + 0.0482291i
\(482\) −21.2552 + 65.4168i −0.968148 + 2.97965i
\(483\) 57.9300i 2.63591i
\(484\) 1.68820 + 0.548529i 0.0767363 + 0.0249331i
\(485\) −0.0501725 + 0.316776i −0.00227821 + 0.0143841i
\(486\) 4.56586 + 28.8277i 0.207112 + 1.30765i
\(487\) −23.9864 + 7.79365i −1.08693 + 0.353164i −0.797058 0.603903i \(-0.793612\pi\)
−0.289869 + 0.957066i \(0.593612\pi\)
\(488\) 14.3732 + 44.2361i 0.650643 + 2.00247i
\(489\) −29.6115 + 29.6115i −1.33908 + 1.33908i
\(490\) −0.0478373 + 0.0658424i −0.00216107 + 0.00297446i
\(491\) −31.5085 −1.42196 −0.710980 0.703212i \(-0.751748\pi\)
−0.710980 + 0.703212i \(0.751748\pi\)
\(492\) −44.7938 + 55.4585i −2.01946 + 2.50026i
\(493\) 5.39328 0.242901
\(494\) 3.42075 4.70825i 0.153907 0.211834i
\(495\) −1.44227 + 1.44227i −0.0648254 + 0.0648254i
\(496\) −3.23560 9.95815i −0.145283 0.447134i
\(497\) 24.2339 7.87407i 1.08704 0.353200i
\(498\) −0.690194 4.35771i −0.0309283 0.195274i
\(499\) 0.773481 4.88356i 0.0346257 0.218618i −0.964308 0.264783i \(-0.914700\pi\)
0.998934 + 0.0461643i \(0.0146998\pi\)
\(500\) 4.28982 + 1.39385i 0.191846 + 0.0623347i
\(501\) 33.2509i 1.48554i
\(502\) 4.95528 15.2508i 0.221165 0.680675i
\(503\) −11.0443 21.6756i −0.492439 0.966466i −0.994804 0.101810i \(-0.967537\pi\)
0.502365 0.864656i \(-0.332463\pi\)
\(504\) −57.2795 29.1853i −2.55143 1.30002i
\(505\) 1.08485 0.171823i 0.0482751 0.00764602i
\(506\) −43.5508 43.5508i −1.93607 1.93607i
\(507\) 15.4530 30.3283i 0.686294 1.34693i
\(508\) −25.5084 + 18.5329i −1.13175 + 0.822266i
\(509\) 29.2644 14.9110i 1.29712 0.660917i 0.337266 0.941409i \(-0.390498\pi\)
0.959856 + 0.280493i \(0.0904978\pi\)
\(510\) 2.38577 + 1.73336i 0.105644 + 0.0767546i
\(511\) −29.0942 4.60807i −1.28705 0.203849i
\(512\) 20.1286 + 27.7047i 0.889568 + 1.22438i
\(513\) −8.40003 11.5617i −0.370870 0.510459i
\(514\) −10.5386 1.66916i −0.464839 0.0736233i
\(515\) 0.590165 + 0.428780i 0.0260058 + 0.0188943i
\(516\) 9.85058 5.01912i 0.433648 0.220955i
\(517\) −30.2862 + 22.0042i −1.33198 + 0.967743i
\(518\) 3.35734 6.58914i 0.147513 0.289510i
\(519\) 4.08519 + 4.08519i 0.179320 + 0.179320i
\(520\) 0.553346 0.0876415i 0.0242658 0.00384333i
\(521\) −37.3756 19.0438i −1.63745 0.834325i −0.997844 0.0656258i \(-0.979096\pi\)
−0.639611 0.768699i \(-0.720904\pi\)
\(522\) −8.43444 16.5535i −0.369165 0.724528i
\(523\) −4.76782 + 14.6739i −0.208482 + 0.641643i 0.791070 + 0.611726i \(0.209524\pi\)
−0.999552 + 0.0299172i \(0.990476\pi\)
\(524\) 44.2934i 1.93496i
\(525\) 36.6425 + 11.9059i 1.59921 + 0.519615i
\(526\) −4.75370 + 30.0137i −0.207271 + 1.30866i
\(527\) 1.78610 + 11.2770i 0.0778037 + 0.491233i
\(528\) −30.8952 + 10.0385i −1.34454 + 0.436868i
\(529\) 10.2637 + 31.5884i 0.446247 + 1.37341i
\(530\) 0.108006 0.108006i 0.00469147 0.00469147i
\(531\) −5.92982 + 8.16169i −0.257332 + 0.354187i
\(532\) −23.9438 −1.03810
\(533\) 0.344004 6.72626i 0.0149005 0.291347i
\(534\) 33.4407 1.44712
\(535\) −0.937529 + 1.29040i −0.0405329 + 0.0557888i
\(536\) 43.0831 43.0831i 1.86091 1.86091i
\(537\) 15.7969 + 48.6180i 0.681688 + 2.09802i
\(538\) −8.16919 + 2.65433i −0.352199 + 0.114436i
\(539\) 0.152931 + 0.965568i 0.00658720 + 0.0415900i
\(540\) 0.442922 2.79650i 0.0190603 0.120342i
\(541\) 8.26506 + 2.68548i 0.355343 + 0.115458i 0.481248 0.876584i \(-0.340184\pi\)
−0.125905 + 0.992042i \(0.540184\pi\)
\(542\) 9.28872i 0.398985i
\(543\) 1.56550 4.81810i 0.0671819 0.206765i
\(544\) −1.72019 3.37606i −0.0737525 0.144748i
\(545\) 1.53580 + 0.782530i 0.0657865 + 0.0335199i
\(546\) 19.4813 3.08553i 0.833722 0.132049i
\(547\) 1.94269 + 1.94269i 0.0830635 + 0.0830635i 0.747418 0.664354i \(-0.231293\pi\)
−0.664354 + 0.747418i \(0.731293\pi\)
\(548\) 10.6593 20.9201i 0.455343 0.893661i
\(549\) −42.5736 + 30.9315i −1.81700 + 1.32013i
\(550\) 36.4979 18.5966i 1.55627 0.792962i
\(551\) −2.72010 1.97627i −0.115880 0.0841919i
\(552\) 97.2261 + 15.3991i 4.13822 + 0.655429i
\(553\) 17.0305 + 23.4404i 0.724209 + 0.996788i
\(554\) −42.8057 58.9170i −1.81864 2.50314i
\(555\) 0.370394 + 0.0586647i 0.0157224 + 0.00249018i
\(556\) −55.5522 40.3610i −2.35594 1.71169i
\(557\) −29.7769 + 15.1721i −1.26169 + 0.642862i −0.951452 0.307797i \(-0.900408\pi\)
−0.310236 + 0.950660i \(0.600408\pi\)
\(558\) 31.8191 23.1179i 1.34701 0.978660i
\(559\) −0.474183 + 0.930636i −0.0200558 + 0.0393617i
\(560\) −0.743300 0.743300i −0.0314101 0.0314101i
\(561\) 34.9869 5.54138i 1.47715 0.233957i
\(562\) 11.8944 + 6.06049i 0.501734 + 0.255646i
\(563\) 7.71260 + 15.1368i 0.325047 + 0.637941i 0.994479 0.104932i \(-0.0334626\pi\)
−0.669432 + 0.742873i \(0.733463\pi\)
\(564\) 38.0521 117.112i 1.60228 4.93131i
\(565\) 0.922756i 0.0388206i
\(566\) 70.0268 + 22.7531i 2.94345 + 0.956384i
\(567\) 1.00055 6.31721i 0.0420191 0.265298i
\(568\) 6.77343 + 42.7657i 0.284207 + 1.79441i
\(569\) 24.8527 8.07512i 1.04188 0.338526i 0.262402 0.964959i \(-0.415486\pi\)
0.779476 + 0.626432i \(0.215486\pi\)
\(570\) −0.568104 1.74844i −0.0237953 0.0732343i
\(571\) −1.00428 + 1.00428i −0.0420278 + 0.0420278i −0.727808 0.685781i \(-0.759461\pi\)
0.685781 + 0.727808i \(0.259461\pi\)
\(572\) 8.14082 11.2049i 0.340385 0.468499i
\(573\) 15.6243 0.652714
\(574\) −35.1579 + 22.8949i −1.46746 + 0.955615i
\(575\) −37.3869 −1.55914
\(576\) −28.1345 + 38.7238i −1.17227 + 1.61349i
\(577\) 23.1743 23.1743i 0.964760 0.964760i −0.0346401 0.999400i \(-0.511028\pi\)
0.999400 + 0.0346401i \(0.0110285\pi\)
\(578\) 2.72033 + 8.37230i 0.113151 + 0.348242i
\(579\) 17.8513 5.80022i 0.741873 0.241049i
\(580\) −0.104206 0.657930i −0.00432691 0.0273191i
\(581\) 0.268275 1.69382i 0.0111299 0.0702715i
\(582\) −18.2482 5.92919i −0.756411 0.245773i
\(583\) 1.83475i 0.0759875i
\(584\) 15.4678 47.6050i 0.640062 1.96991i
\(585\) 0.287764 + 0.564769i 0.0118976 + 0.0233503i
\(586\) −43.4556 22.1417i −1.79513 0.914667i
\(587\) −7.53663 + 1.19368i −0.311070 + 0.0492686i −0.310018 0.950731i \(-0.600335\pi\)
−0.00105233 + 0.999999i \(0.500335\pi\)
\(588\) −2.27383 2.27383i −0.0937710 0.0937710i
\(589\) 3.23143 6.34204i 0.133149 0.261319i
\(590\) −0.443084 + 0.321920i −0.0182415 + 0.0132532i
\(591\) 10.8896 5.54855i 0.447940 0.228237i
\(592\) 3.06210 + 2.22475i 0.125852 + 0.0914366i
\(593\) −41.5892 6.58708i −1.70786 0.270499i −0.775322 0.631566i \(-0.782413\pi\)
−0.932540 + 0.361067i \(0.882413\pi\)
\(594\) −30.2680 41.6604i −1.24191 1.70935i
\(595\) 0.673750 + 0.927337i 0.0276210 + 0.0380171i
\(596\) −4.16022 0.658915i −0.170409 0.0269902i
\(597\) 37.0324 + 26.9056i 1.51563 + 1.10117i
\(598\) −17.0537 + 8.68931i −0.697379 + 0.355332i
\(599\) 37.0626 26.9276i 1.51434 1.10023i 0.550129 0.835079i \(-0.314578\pi\)
0.964207 0.265151i \(-0.0854216\pi\)
\(600\) −29.7225 + 58.3337i −1.21342 + 2.38146i
\(601\) −8.39569 8.39569i −0.342467 0.342467i 0.514827 0.857294i \(-0.327856\pi\)
−0.857294 + 0.514827i \(0.827856\pi\)
\(602\) 6.42637 1.01784i 0.261919 0.0414840i
\(603\) 61.4208 + 31.2955i 2.50125 + 1.27445i
\(604\) −23.2095 45.5513i −0.944383 1.85346i
\(605\) −0.0163705 + 0.0503831i −0.000665554 + 0.00204837i
\(606\) 65.7096i 2.66927i
\(607\) −22.8222 7.41539i −0.926325 0.300981i −0.193266 0.981146i \(-0.561908\pi\)
−0.733059 + 0.680165i \(0.761908\pi\)
\(608\) −0.369519 + 2.33305i −0.0149860 + 0.0946177i
\(609\) −1.78261 11.2549i −0.0722348 0.456073i
\(610\) −2.71704 + 0.882818i −0.110010 + 0.0357443i
\(611\) 3.59498 + 11.0642i 0.145437 + 0.447610i
\(612\) −52.2126 + 52.2126i −2.11057 + 2.11057i
\(613\) −10.8769 + 14.9708i −0.439315 + 0.604665i −0.970060 0.242867i \(-0.921912\pi\)
0.530745 + 0.847532i \(0.321912\pi\)
\(614\) 0.548233 0.0221249
\(615\) −1.65512 1.33684i −0.0667409 0.0539065i
\(616\) −41.9217 −1.68907
\(617\) −0.798604 + 1.09918i −0.0321506 + 0.0442515i −0.824790 0.565440i \(-0.808707\pi\)
0.792639 + 0.609691i \(0.208707\pi\)
\(618\) −30.8589 + 30.8589i −1.24133 + 1.24133i
\(619\) 12.9896 + 39.9780i 0.522097 + 1.60685i 0.769985 + 0.638062i \(0.220264\pi\)
−0.247888 + 0.968789i \(0.579736\pi\)
\(620\) 1.34118 0.435775i 0.0538630 0.0175012i
\(621\) 7.35243 + 46.4214i 0.295043 + 1.86283i
\(622\) 5.51678 34.8316i 0.221203 1.39662i
\(623\) 12.3621 + 4.01668i 0.495276 + 0.160925i
\(624\) 10.0951i 0.404128i
\(625\) 7.66300 23.5843i 0.306520 0.943371i
\(626\) −9.01797 17.6988i −0.360430 0.707385i
\(627\) −19.6762 10.0255i −0.785792 0.400381i
\(628\) 62.9861 9.97602i 2.51342 0.398087i
\(629\) −2.91842 2.91842i −0.116365 0.116365i
\(630\) 1.79260 3.51818i 0.0714189 0.140168i
\(631\) 29.2153 21.2262i 1.16304 0.845001i 0.172884 0.984942i \(-0.444691\pi\)
0.990160 + 0.139941i \(0.0446914\pi\)
\(632\) −43.8680 + 22.3519i −1.74498 + 0.889110i
\(633\) −57.8390 42.0225i −2.29889 1.67024i
\(634\) 23.0207 + 3.64613i 0.914270 + 0.144806i
\(635\) −0.553102 0.761280i −0.0219492 0.0302105i
\(636\) 3.54735 + 4.88251i 0.140662 + 0.193604i
\(637\) 0.300061 + 0.0475251i 0.0118889 + 0.00188301i
\(638\) −9.80140 7.12114i −0.388041 0.281928i
\(639\) −43.6485 + 22.2400i −1.72671 + 0.879802i
\(640\) −1.90760 + 1.38595i −0.0754046 + 0.0547847i
\(641\) −20.0951 + 39.4388i −0.793708 + 1.55774i 0.0358741 + 0.999356i \(0.488578\pi\)
−0.829583 + 0.558384i \(0.811422\pi\)
\(642\) −67.4731 67.4731i −2.66295 2.66295i
\(643\) −12.3017 + 1.94839i −0.485131 + 0.0768372i −0.394209 0.919021i \(-0.628981\pi\)
−0.0909219 + 0.995858i \(0.528981\pi\)
\(644\) 70.1633 + 35.7500i 2.76482 + 1.40875i
\(645\) 0.149792 + 0.293984i 0.00589806 + 0.0115756i
\(646\) −6.25240 + 19.2429i −0.245997 + 0.757102i
\(647\) 15.7465i 0.619061i −0.950890 0.309530i \(-0.899828\pi\)
0.950890 0.309530i \(-0.100172\pi\)
\(648\) 10.3364 + 3.35851i 0.406054 + 0.131935i
\(649\) −1.02914 + 6.49776i −0.0403974 + 0.255059i
\(650\) −1.99134 12.5728i −0.0781069 0.493148i
\(651\) 22.9430 7.45463i 0.899206 0.292170i
\(652\) −17.5907 54.1387i −0.688906 2.12024i
\(653\) 13.7349 13.7349i 0.537489 0.537489i −0.385301 0.922791i \(-0.625903\pi\)
0.922791 + 0.385301i \(0.125903\pi\)
\(654\) −60.6112 + 83.4241i −2.37009 + 3.26214i
\(655\) −1.32190 −0.0516511
\(656\) −8.75877 19.6060i −0.341973 0.765484i
\(657\) 56.6316 2.20941
\(658\) 42.5971 58.6298i 1.66061 2.28563i
\(659\) −8.94994 + 8.94994i −0.348640 + 0.348640i −0.859603 0.510963i \(-0.829289\pi\)
0.510963 + 0.859603i \(0.329289\pi\)
\(660\) −1.35200 4.16101i −0.0526263 0.161967i
\(661\) 35.5255 11.5429i 1.38178 0.448968i 0.478527 0.878073i \(-0.341171\pi\)
0.903255 + 0.429105i \(0.141171\pi\)
\(662\) −1.74401 11.0112i −0.0677829 0.427964i
\(663\) 1.72205 10.8726i 0.0668788 0.422256i
\(664\) 2.77149 + 0.900512i 0.107555 + 0.0349466i
\(665\) 0.714586i 0.0277105i
\(666\) −4.39342 + 13.5215i −0.170241 + 0.523949i
\(667\) 5.02008 + 9.85246i 0.194378 + 0.381489i
\(668\) 40.2727 + 20.5199i 1.55820 + 0.793941i
\(669\) 9.38166 1.48591i 0.362716 0.0574486i
\(670\) 2.64622 + 2.64622i 0.102232 + 0.102232i
\(671\) −15.5794 + 30.5763i −0.601436 + 1.18038i
\(672\) −6.47676 + 4.70564i −0.249846 + 0.181524i
\(673\) −9.32618 + 4.75192i −0.359498 + 0.183173i −0.624405 0.781101i \(-0.714659\pi\)
0.264908 + 0.964274i \(0.414659\pi\)
\(674\) 34.8136 + 25.2936i 1.34097 + 0.974271i
\(675\) −30.8741 4.88997i −1.18834 0.188215i
\(676\) 27.1964 + 37.4327i 1.04602 + 1.43972i
\(677\) 9.95839 + 13.7066i 0.382732 + 0.526786i 0.956306 0.292368i \(-0.0944434\pi\)
−0.573574 + 0.819154i \(0.694443\pi\)
\(678\) 54.5238 + 8.63573i 2.09398 + 0.331653i
\(679\) −6.03364 4.38370i −0.231550 0.168231i
\(680\) −1.73548 + 0.884272i −0.0665527 + 0.0339103i
\(681\) 17.8455 12.9655i 0.683841 0.496840i
\(682\) 11.6439 22.8524i 0.445867 0.875064i
\(683\) −14.4614 14.4614i −0.553350 0.553350i 0.374056 0.927406i \(-0.377967\pi\)
−0.927406 + 0.374056i \(0.877967\pi\)
\(684\) 45.4658 7.20108i 1.73843 0.275340i
\(685\) 0.624345 + 0.318120i 0.0238550 + 0.0121547i
\(686\) 19.9637 + 39.1810i 0.762218 + 1.49594i
\(687\) −4.39851 + 13.5372i −0.167813 + 0.516477i
\(688\) 3.33012i 0.126960i
\(689\) −0.542263 0.176192i −0.0206586 0.00671238i
\(690\) −0.945832 + 5.97175i −0.0360072 + 0.227341i
\(691\) −1.41031 8.90432i −0.0536506 0.338736i −0.999884 0.0152509i \(-0.995145\pi\)
0.946233 0.323486i \(-0.104855\pi\)
\(692\) −7.46895 + 2.42681i −0.283927 + 0.0922535i
\(693\) −14.6566 45.1085i −0.556759 1.71353i
\(694\) 27.7433 27.7433i 1.05312 1.05312i
\(695\) 1.20455 1.65792i 0.0456911 0.0628884i
\(696\) 19.3634 0.733969
\(697\) 6.08889 + 22.6100i 0.230633 + 0.856413i
\(698\) −25.9703 −0.982989
\(699\) 18.0078 24.7857i 0.681119 0.937480i
\(700\) −37.0331 + 37.0331i −1.39972 + 1.39972i
\(701\) 3.66441 + 11.2779i 0.138403 + 0.425960i 0.996104 0.0881889i \(-0.0281079\pi\)
−0.857701 + 0.514149i \(0.828108\pi\)
\(702\) −15.2194 + 4.94510i −0.574421 + 0.186641i
\(703\) 0.402504 + 2.54131i 0.0151807 + 0.0958474i
\(704\) −4.88286 + 30.8291i −0.184030 + 1.16192i
\(705\) 3.49513 + 1.13564i 0.131634 + 0.0427706i
\(706\) 63.0941i 2.37458i
\(707\) −7.89260 + 24.2909i −0.296832 + 0.913555i
\(708\) −9.82425 19.2812i −0.369218 0.724631i
\(709\) 36.6676 + 18.6831i 1.37708 + 0.701658i 0.976684 0.214683i \(-0.0688718\pi\)
0.400398 + 0.916341i \(0.368872\pi\)
\(710\) −2.62673 + 0.416033i −0.0985793 + 0.0156134i
\(711\) −39.3881 39.3881i −1.47717 1.47717i
\(712\) −10.0275 + 19.6800i −0.375795 + 0.737539i
\(713\) −18.9383 + 13.7595i −0.709246 + 0.515298i
\(714\) −61.0999 + 31.1320i −2.28661 + 1.16508i
\(715\) 0.334402 + 0.242957i 0.0125059 + 0.00908608i
\(716\) −68.6336 10.8705i −2.56496 0.406249i
\(717\) −15.5498 21.4024i −0.580716 0.799287i
\(718\) 13.8759 + 19.0985i 0.517843 + 0.712750i
\(719\) −24.4544 3.87320i −0.911996 0.144446i −0.317233 0.948348i \(-0.602754\pi\)
−0.594762 + 0.803902i \(0.702754\pi\)
\(720\) 1.63497 + 1.18787i 0.0609316 + 0.0442694i
\(721\) −15.1142 + 7.70108i −0.562883 + 0.286803i
\(722\) −27.1014 + 19.6903i −1.00861 + 0.732797i
\(723\) 36.8227 72.2685i 1.36945 2.68770i
\(724\) 4.86946 + 4.86946i 0.180972 + 0.180972i
\(725\) −7.26372 + 1.15046i −0.269768 + 0.0427270i
\(726\) −2.82384 1.43882i −0.104802 0.0533995i
\(727\) −0.177225 0.347823i −0.00657290 0.0129000i 0.887697 0.460429i \(-0.152304\pi\)
−0.894270 + 0.447529i \(0.852304\pi\)
\(728\) −4.02577 + 12.3900i −0.149205 + 0.459205i
\(729\) 41.5244i 1.53794i
\(730\) 2.92396 + 0.950052i 0.108221 + 0.0351630i
\(731\) 0.568059 3.58659i 0.0210104 0.132655i
\(732\) −17.6582 111.489i −0.652664 4.12076i
\(733\) −9.37877 + 3.04735i −0.346413 + 0.112556i −0.477055 0.878873i \(-0.658296\pi\)
0.130643 + 0.991430i \(0.458296\pi\)
\(734\) −16.8628 51.8984i −0.622418 1.91561i
\(735\) 0.0678607 0.0678607i 0.00250308 0.00250308i
\(736\) 4.56625 6.28490i 0.168314 0.231664i
\(737\) 44.9527 1.65585
\(738\) 59.8742 54.0478i 2.20400 1.98953i
\(739\) 13.8121 0.508087 0.254044 0.967193i \(-0.418239\pi\)
0.254044 + 0.967193i \(0.418239\pi\)
\(740\) −0.299632 + 0.412409i −0.0110147 + 0.0151604i
\(741\) −4.85258 + 4.85258i −0.178264 + 0.178264i
\(742\) 1.09757 + 3.37798i 0.0402931 + 0.124010i
\(743\) −24.8949 + 8.08883i −0.913304 + 0.296750i −0.727717 0.685878i \(-0.759419\pi\)
−0.185587 + 0.982628i \(0.559419\pi\)
\(744\) 6.41262 + 40.4877i 0.235098 + 1.48435i
\(745\) 0.0196648 0.124159i 0.000720464 0.00454883i
\(746\) −7.42595 2.41284i −0.271883 0.0883403i
\(747\) 3.29701i 0.120631i
\(748\) −14.8797 + 45.7950i −0.544055 + 1.67443i
\(749\) −16.8384 33.0473i −0.615263 1.20752i
\(750\) −7.17554 3.65612i −0.262014 0.133503i
\(751\) −20.6029 + 3.26318i −0.751812 + 0.119075i −0.520568 0.853820i \(-0.674280\pi\)
−0.231244 + 0.972896i \(0.574280\pi\)
\(752\) 26.2277 + 26.2277i 0.956425 + 0.956425i
\(753\) −8.58455 + 16.8481i −0.312839 + 0.613980i
\(754\) −3.04590 + 2.21297i −0.110925 + 0.0805918i
\(755\) 1.35945 0.692672i 0.0494753 0.0252089i
\(756\) 53.2649 + 38.6992i 1.93723 + 1.40748i
\(757\) 44.0377 + 6.97489i 1.60058 + 0.253507i 0.891970 0.452095i \(-0.149323\pi\)
0.708609 + 0.705602i \(0.249323\pi\)
\(758\) 27.3380 + 37.6275i 0.992961 + 1.36669i
\(759\) 42.6889 + 58.7563i 1.54951 + 2.13272i
\(760\) 1.19932 + 0.189953i 0.0435038 + 0.00689032i
\(761\) −35.6363 25.8913i −1.29182 0.938559i −0.291976 0.956426i \(-0.594313\pi\)
−0.999840 + 0.0178662i \(0.994313\pi\)
\(762\) 50.1588 25.5572i 1.81706 0.925840i
\(763\) −32.4266 + 23.5593i −1.17392 + 0.852903i
\(764\) −9.64213