Properties

Label 96.2.n.a.13.2
Level $96$
Weight $2$
Character 96.13
Analytic conductor $0.767$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 96 = 2^{5} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 96.n (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.766563859404\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 13.2
Character \(\chi\) \(=\) 96.13
Dual form 96.2.n.a.37.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.26685 - 0.628571i) q^{2} +(-0.382683 + 0.923880i) q^{3} +(1.20980 + 1.59260i) q^{4} +(-3.09318 + 1.28124i) q^{5} +(1.06552 - 0.929869i) q^{6} +(-1.73503 + 1.73503i) q^{7} +(-0.531562 - 2.77803i) q^{8} +(-0.707107 - 0.707107i) q^{9} +O(q^{10})\) \(q+(-1.26685 - 0.628571i) q^{2} +(-0.382683 + 0.923880i) q^{3} +(1.20980 + 1.59260i) q^{4} +(-3.09318 + 1.28124i) q^{5} +(1.06552 - 0.929869i) q^{6} +(-1.73503 + 1.73503i) q^{7} +(-0.531562 - 2.77803i) q^{8} +(-0.707107 - 0.707107i) q^{9} +(4.72394 + 0.321153i) q^{10} +(2.39923 + 5.79225i) q^{11} +(-1.93434 + 0.508244i) q^{12} +(0.0173304 + 0.00717850i) q^{13} +(3.28860 - 1.10742i) q^{14} -3.34804i q^{15} +(-1.07278 + 3.85346i) q^{16} -5.57978i q^{17} +(0.451329 + 1.34026i) q^{18} +(-1.03052 - 0.426856i) q^{19} +(-5.78263 - 3.37618i) q^{20} +(-0.938989 - 2.26692i) q^{21} +(0.601386 - 8.84597i) q^{22} +(2.01868 + 2.01868i) q^{23} +(2.76998 + 0.572006i) q^{24} +(4.39068 - 4.39068i) q^{25} +(-0.0174428 - 0.0199875i) q^{26} +(0.923880 - 0.382683i) q^{27} +(-4.86224 - 0.664180i) q^{28} +(-0.706079 + 1.70463i) q^{29} +(-2.10448 + 4.24145i) q^{30} +1.38048 q^{31} +(3.78122 - 4.20742i) q^{32} -6.26948 q^{33} +(-3.50729 + 7.06872i) q^{34} +(3.14377 - 7.58973i) q^{35} +(0.270686 - 1.98160i) q^{36} +(-2.87315 + 1.19010i) q^{37} +(1.03720 + 1.18852i) q^{38} +(-0.0132641 + 0.0132641i) q^{39} +(5.20354 + 7.91189i) q^{40} +(6.97897 + 6.97897i) q^{41} +(-0.235365 + 3.46206i) q^{42} +(1.67010 + 4.03197i) q^{43} +(-6.32218 + 10.8285i) q^{44} +(3.09318 + 1.28124i) q^{45} +(-1.28847 - 3.82623i) q^{46} +1.15993i q^{47} +(-3.14960 - 2.46577i) q^{48} +0.979375i q^{49} +(-8.32217 + 2.80246i) q^{50} +(5.15504 + 2.13529i) q^{51} +(0.00953380 + 0.0362851i) q^{52} +(2.56680 + 6.19681i) q^{53} +(-1.41096 - 0.0959227i) q^{54} +(-14.8425 - 14.8425i) q^{55} +(5.74222 + 3.89767i) q^{56} +(0.788727 - 0.788727i) q^{57} +(1.96597 - 1.71568i) q^{58} +(-0.735935 + 0.304834i) q^{59} +(5.33210 - 4.05045i) q^{60} +(4.82262 - 11.6428i) q^{61} +(-1.74885 - 0.867729i) q^{62} +2.45370 q^{63} +(-7.43488 + 2.95339i) q^{64} -0.0628036 q^{65} +(7.94247 + 3.94081i) q^{66} +(-2.05899 + 4.97085i) q^{67} +(8.88638 - 6.75040i) q^{68} +(-2.63753 + 1.09250i) q^{69} +(-8.75336 + 7.63894i) q^{70} +(-1.78298 + 1.78298i) q^{71} +(-1.58849 + 2.34023i) q^{72} +(1.67500 + 1.67500i) q^{73} +(4.38789 + 0.298307i) q^{74} +(2.37622 + 5.73670i) q^{75} +(-0.566909 - 2.15762i) q^{76} +(-14.2124 - 5.88697i) q^{77} +(0.0251411 - 0.00846617i) q^{78} -2.67236i q^{79} +(-1.61890 - 13.2939i) q^{80} +1.00000i q^{81} +(-4.45450 - 13.2281i) q^{82} +(-6.91877 - 2.86585i) q^{83} +(2.47432 - 4.23795i) q^{84} +(7.14903 + 17.2593i) q^{85} +(0.418623 - 6.15766i) q^{86} +(-1.30466 - 1.30466i) q^{87} +(14.8157 - 9.74406i) q^{88} +(6.73869 - 6.73869i) q^{89} +(-3.11324 - 3.56742i) q^{90} +(-0.0425236 + 0.0176139i) q^{91} +(-0.772764 + 5.65714i) q^{92} +(-0.528286 + 1.27540i) q^{93} +(0.729098 - 1.46945i) q^{94} +3.73450 q^{95} +(2.44014 + 5.10350i) q^{96} -1.75001 q^{97} +(0.615607 - 1.24072i) q^{98} +(2.39923 - 5.79225i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q + O(q^{10}) \) \( 32q - 8q^{10} - 16q^{12} - 32q^{14} - 8q^{16} - 8q^{18} - 32q^{20} - 8q^{22} - 16q^{23} - 8q^{24} + 40q^{26} + 40q^{28} - 48q^{31} + 40q^{32} + 40q^{34} - 48q^{35} + 40q^{38} + 8q^{40} - 16q^{43} + 8q^{44} - 32q^{46} + 24q^{50} + 16q^{51} - 8q^{52} - 32q^{53} + 8q^{54} + 32q^{55} + 56q^{56} - 32q^{58} + 64q^{59} + 48q^{60} - 32q^{61} + 48q^{62} + 16q^{63} + 24q^{64} + 48q^{66} + 16q^{67} - 8q^{68} - 32q^{69} - 24q^{70} + 64q^{71} - 32q^{74} + 32q^{75} - 56q^{76} - 32q^{77} + 24q^{78} - 56q^{80} - 40q^{82} - 64q^{86} - 48q^{88} - 48q^{91} - 80q^{92} - 32q^{94} - 40q^{96} - 80q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(37\) \(65\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{8}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.26685 0.628571i −0.895795 0.444467i
\(3\) −0.382683 + 0.923880i −0.220942 + 0.533402i
\(4\) 1.20980 + 1.59260i 0.604899 + 0.796302i
\(5\) −3.09318 + 1.28124i −1.38331 + 0.572987i −0.945365 0.326013i \(-0.894295\pi\)
−0.437949 + 0.899000i \(0.644295\pi\)
\(6\) 1.06552 0.929869i 0.434999 0.379618i
\(7\) −1.73503 + 1.73503i −0.655778 + 0.655778i −0.954378 0.298600i \(-0.903480\pi\)
0.298600 + 0.954378i \(0.403480\pi\)
\(8\) −0.531562 2.77803i −0.187936 0.982181i
\(9\) −0.707107 0.707107i −0.235702 0.235702i
\(10\) 4.72394 + 0.321153i 1.49384 + 0.101557i
\(11\) 2.39923 + 5.79225i 0.723394 + 1.74643i 0.663443 + 0.748227i \(0.269095\pi\)
0.0599515 + 0.998201i \(0.480905\pi\)
\(12\) −1.93434 + 0.508244i −0.558397 + 0.146717i
\(13\) 0.0173304 + 0.00717850i 0.00480660 + 0.00199096i 0.385085 0.922881i \(-0.374172\pi\)
−0.380279 + 0.924872i \(0.624172\pi\)
\(14\) 3.28860 1.10742i 0.878914 0.295971i
\(15\) 3.34804i 0.864460i
\(16\) −1.07278 + 3.85346i −0.268195 + 0.963365i
\(17\) 5.57978i 1.35329i −0.736307 0.676647i \(-0.763432\pi\)
0.736307 0.676647i \(-0.236568\pi\)
\(18\) 0.451329 + 1.34026i 0.106379 + 0.315903i
\(19\) −1.03052 0.426856i −0.236418 0.0979274i 0.261329 0.965250i \(-0.415839\pi\)
−0.497747 + 0.867322i \(0.665839\pi\)
\(20\) −5.78263 3.37618i −1.29304 0.754937i
\(21\) −0.938989 2.26692i −0.204904 0.494682i
\(22\) 0.601386 8.84597i 0.128216 1.88597i
\(23\) 2.01868 + 2.01868i 0.420923 + 0.420923i 0.885522 0.464598i \(-0.153801\pi\)
−0.464598 + 0.885522i \(0.653801\pi\)
\(24\) 2.76998 + 0.572006i 0.565421 + 0.116760i
\(25\) 4.39068 4.39068i 0.878136 0.878136i
\(26\) −0.0174428 0.0199875i −0.00342081 0.00391986i
\(27\) 0.923880 0.382683i 0.177801 0.0736475i
\(28\) −4.86224 0.664180i −0.918877 0.125518i
\(29\) −0.706079 + 1.70463i −0.131116 + 0.316541i −0.975780 0.218756i \(-0.929800\pi\)
0.844664 + 0.535297i \(0.179800\pi\)
\(30\) −2.10448 + 4.24145i −0.384224 + 0.774379i
\(31\) 1.38048 0.247941 0.123971 0.992286i \(-0.460437\pi\)
0.123971 + 0.992286i \(0.460437\pi\)
\(32\) 3.78122 4.20742i 0.668431 0.743774i
\(33\) −6.26948 −1.09138
\(34\) −3.50729 + 7.06872i −0.601495 + 1.21228i
\(35\) 3.14377 7.58973i 0.531394 1.28290i
\(36\) 0.270686 1.98160i 0.0451143 0.330266i
\(37\) −2.87315 + 1.19010i −0.472342 + 0.195651i −0.606140 0.795358i \(-0.707283\pi\)
0.133797 + 0.991009i \(0.457283\pi\)
\(38\) 1.03720 + 1.18852i 0.168256 + 0.192803i
\(39\) −0.0132641 + 0.0132641i −0.00212396 + 0.00212396i
\(40\) 5.20354 + 7.91189i 0.822752 + 1.25098i
\(41\) 6.97897 + 6.97897i 1.08993 + 1.08993i 0.995535 + 0.0943974i \(0.0300924\pi\)
0.0943974 + 0.995535i \(0.469908\pi\)
\(42\) −0.235365 + 3.46206i −0.0363176 + 0.534207i
\(43\) 1.67010 + 4.03197i 0.254687 + 0.614869i 0.998571 0.0534396i \(-0.0170184\pi\)
−0.743884 + 0.668309i \(0.767018\pi\)
\(44\) −6.32218 + 10.8285i −0.953105 + 1.63245i
\(45\) 3.09318 + 1.28124i 0.461105 + 0.190996i
\(46\) −1.28847 3.82623i −0.189975 0.564147i
\(47\) 1.15993i 0.169193i 0.996415 + 0.0845966i \(0.0269601\pi\)
−0.996415 + 0.0845966i \(0.973040\pi\)
\(48\) −3.14960 2.46577i −0.454605 0.355904i
\(49\) 0.979375i 0.139911i
\(50\) −8.32217 + 2.80246i −1.17693 + 0.396328i
\(51\) 5.15504 + 2.13529i 0.721850 + 0.299000i
\(52\) 0.00953380 + 0.0362851i 0.00132210 + 0.00503183i
\(53\) 2.56680 + 6.19681i 0.352577 + 0.851197i 0.996300 + 0.0859383i \(0.0273888\pi\)
−0.643723 + 0.765258i \(0.722611\pi\)
\(54\) −1.41096 0.0959227i −0.192007 0.0130534i
\(55\) −14.8425 14.8425i −2.00136 2.00136i
\(56\) 5.74222 + 3.89767i 0.767337 + 0.520849i
\(57\) 0.788727 0.788727i 0.104469 0.104469i
\(58\) 1.96597 1.71568i 0.258145 0.225280i
\(59\) −0.735935 + 0.304834i −0.0958106 + 0.0396860i −0.430074 0.902794i \(-0.641513\pi\)
0.334263 + 0.942480i \(0.391513\pi\)
\(60\) 5.33210 4.05045i 0.688371 0.522911i
\(61\) 4.82262 11.6428i 0.617473 1.49071i −0.237156 0.971472i \(-0.576215\pi\)
0.854629 0.519240i \(-0.173785\pi\)
\(62\) −1.74885 0.867729i −0.222105 0.110202i
\(63\) 2.45370 0.309137
\(64\) −7.43488 + 2.95339i −0.929360 + 0.369174i
\(65\) −0.0628036 −0.00778983
\(66\) 7.94247 + 3.94081i 0.977650 + 0.485081i
\(67\) −2.05899 + 4.97085i −0.251546 + 0.607286i −0.998329 0.0577816i \(-0.981597\pi\)
0.746783 + 0.665068i \(0.231597\pi\)
\(68\) 8.88638 6.75040i 1.07763 0.818606i
\(69\) −2.63753 + 1.09250i −0.317521 + 0.131522i
\(70\) −8.75336 + 7.63894i −1.04623 + 0.913028i
\(71\) −1.78298 + 1.78298i −0.211600 + 0.211600i −0.804947 0.593347i \(-0.797806\pi\)
0.593347 + 0.804947i \(0.297806\pi\)
\(72\) −1.58849 + 2.34023i −0.187205 + 0.275799i
\(73\) 1.67500 + 1.67500i 0.196044 + 0.196044i 0.798302 0.602258i \(-0.205732\pi\)
−0.602258 + 0.798302i \(0.705732\pi\)
\(74\) 4.38789 + 0.298307i 0.510082 + 0.0346775i
\(75\) 2.37622 + 5.73670i 0.274382 + 0.662417i
\(76\) −0.566909 2.15762i −0.0650290 0.247496i
\(77\) −14.2124 5.88697i −1.61965 0.670883i
\(78\) 0.0251411 0.00846617i 0.00284667 0.000958605i
\(79\) 2.67236i 0.300664i −0.988636 0.150332i \(-0.951966\pi\)
0.988636 0.150332i \(-0.0480343\pi\)
\(80\) −1.61890 13.2939i −0.180998 1.48631i
\(81\) 1.00000i 0.111111i
\(82\) −4.45450 13.2281i −0.491918 1.46079i
\(83\) −6.91877 2.86585i −0.759433 0.314568i −0.0308494 0.999524i \(-0.509821\pi\)
−0.728584 + 0.684956i \(0.759821\pi\)
\(84\) 2.47432 4.23795i 0.269971 0.462398i
\(85\) 7.14903 + 17.2593i 0.775421 + 1.87203i
\(86\) 0.418623 6.15766i 0.0451413 0.663997i
\(87\) −1.30466 1.30466i −0.139875 0.139875i
\(88\) 14.8157 9.74406i 1.57936 1.03872i
\(89\) 6.73869 6.73869i 0.714300 0.714300i −0.253132 0.967432i \(-0.581461\pi\)
0.967432 + 0.253132i \(0.0814607\pi\)
\(90\) −3.11324 3.56742i −0.328164 0.376039i
\(91\) −0.0425236 + 0.0176139i −0.00445769 + 0.00184643i
\(92\) −0.772764 + 5.65714i −0.0805662 + 0.589798i
\(93\) −0.528286 + 1.27540i −0.0547807 + 0.132252i
\(94\) 0.729098 1.46945i 0.0752007 0.151562i
\(95\) 3.73450 0.383151
\(96\) 2.44014 + 5.10350i 0.249046 + 0.520874i
\(97\) −1.75001 −0.177686 −0.0888431 0.996046i \(-0.528317\pi\)
−0.0888431 + 0.996046i \(0.528317\pi\)
\(98\) 0.615607 1.24072i 0.0621857 0.125331i
\(99\) 2.39923 5.79225i 0.241131 0.582143i
\(100\) 12.3045 + 1.68078i 1.23045 + 0.168078i
\(101\) −7.71200 + 3.19442i −0.767373 + 0.317856i −0.731808 0.681511i \(-0.761323\pi\)
−0.0355651 + 0.999367i \(0.511323\pi\)
\(102\) −5.18847 5.94539i −0.513735 0.588681i
\(103\) −3.90293 + 3.90293i −0.384567 + 0.384567i −0.872744 0.488177i \(-0.837662\pi\)
0.488177 + 0.872744i \(0.337662\pi\)
\(104\) 0.0107299 0.0519602i 0.00105215 0.00509512i
\(105\) 5.80893 + 5.80893i 0.566894 + 0.566894i
\(106\) 0.643389 9.46381i 0.0624915 0.919207i
\(107\) −5.55747 13.4169i −0.537261 1.29706i −0.926628 0.375981i \(-0.877306\pi\)
0.389366 0.921083i \(-0.372694\pi\)
\(108\) 1.72717 + 1.00841i 0.166197 + 0.0970339i
\(109\) 14.8488 + 6.15056i 1.42225 + 0.589117i 0.955426 0.295231i \(-0.0953967\pi\)
0.466828 + 0.884348i \(0.345397\pi\)
\(110\) 9.47360 + 28.1327i 0.903273 + 2.68235i
\(111\) 3.10987i 0.295176i
\(112\) −4.82455 8.54715i −0.455877 0.807630i
\(113\) 2.72924i 0.256745i 0.991726 + 0.128373i \(0.0409753\pi\)
−0.991726 + 0.128373i \(0.959025\pi\)
\(114\) −1.49497 + 0.503425i −0.140016 + 0.0471500i
\(115\) −8.83055 3.65773i −0.823453 0.341085i
\(116\) −3.56901 + 0.937747i −0.331374 + 0.0870677i
\(117\) −0.00717850 0.0173304i −0.000663652 0.00160220i
\(118\) 1.12393 + 0.0764092i 0.103466 + 0.00703403i
\(119\) 9.68106 + 9.68106i 0.887461 + 0.887461i
\(120\) −9.30095 + 1.77969i −0.849056 + 0.162463i
\(121\) −20.0157 + 20.0157i −1.81961 + 1.81961i
\(122\) −13.4279 + 11.7183i −1.21570 + 1.06093i
\(123\) −9.11846 + 3.77699i −0.822184 + 0.340560i
\(124\) 1.67010 + 2.19856i 0.149979 + 0.197436i
\(125\) −1.54948 + 3.74078i −0.138590 + 0.334585i
\(126\) −3.10846 1.54232i −0.276923 0.137401i
\(127\) 15.3336 1.36064 0.680319 0.732916i \(-0.261841\pi\)
0.680319 + 0.732916i \(0.261841\pi\)
\(128\) 11.2753 + 0.931859i 0.996602 + 0.0823655i
\(129\) −4.36417 −0.384244
\(130\) 0.0795625 + 0.0394765i 0.00697809 + 0.00346232i
\(131\) 5.70595 13.7754i 0.498531 1.20356i −0.451744 0.892148i \(-0.649198\pi\)
0.950275 0.311412i \(-0.100802\pi\)
\(132\) −7.58481 9.98481i −0.660173 0.869066i
\(133\) 2.52859 1.04737i 0.219256 0.0908189i
\(134\) 5.73296 5.00308i 0.495252 0.432200i
\(135\) −2.36742 + 2.36742i −0.203755 + 0.203755i
\(136\) −15.5008 + 2.96600i −1.32918 + 0.254332i
\(137\) −3.06155 3.06155i −0.261566 0.261566i 0.564124 0.825690i \(-0.309214\pi\)
−0.825690 + 0.564124i \(0.809214\pi\)
\(138\) 4.02806 + 0.273844i 0.342891 + 0.0233111i
\(139\) 0.621401 + 1.50020i 0.0527066 + 0.127245i 0.948040 0.318152i \(-0.103062\pi\)
−0.895333 + 0.445397i \(0.853062\pi\)
\(140\) 15.8908 4.17526i 1.34302 0.352874i
\(141\) −1.07164 0.443886i −0.0902480 0.0373819i
\(142\) 3.37948 1.13803i 0.283600 0.0955013i
\(143\) 0.117605i 0.00983462i
\(144\) 3.48338 1.96624i 0.290281 0.163853i
\(145\) 6.17738i 0.513003i
\(146\) −1.06911 3.17483i −0.0884804 0.262751i
\(147\) −0.904825 0.374791i −0.0746287 0.0309122i
\(148\) −5.37128 3.13601i −0.441516 0.257779i
\(149\) −8.53959 20.6164i −0.699591 1.68896i −0.724503 0.689272i \(-0.757930\pi\)
0.0249118 0.999690i \(-0.492070\pi\)
\(150\) 0.595619 8.76114i 0.0486321 0.715344i
\(151\) 9.42348 + 9.42348i 0.766872 + 0.766872i 0.977555 0.210683i \(-0.0675687\pi\)
−0.210683 + 0.977555i \(0.567569\pi\)
\(152\) −0.638031 + 3.08972i −0.0517512 + 0.250609i
\(153\) −3.94550 + 3.94550i −0.318975 + 0.318975i
\(154\) 14.3046 + 16.3914i 1.15269 + 1.32086i
\(155\) −4.27007 + 1.76872i −0.342981 + 0.142067i
\(156\) −0.0371714 0.00507761i −0.00297610 0.000406534i
\(157\) 7.53965 18.2023i 0.601729 1.45270i −0.270070 0.962841i \(-0.587047\pi\)
0.871800 0.489863i \(-0.162953\pi\)
\(158\) −1.67977 + 3.38547i −0.133635 + 0.269334i
\(159\) −6.70737 −0.531929
\(160\) −6.30529 + 17.8590i −0.498477 + 1.41188i
\(161\) −7.00491 −0.552064
\(162\) 0.628571 1.26685i 0.0493852 0.0995328i
\(163\) −6.01448 + 14.5202i −0.471090 + 1.13731i 0.492592 + 0.870260i \(0.336050\pi\)
−0.963682 + 0.267052i \(0.913950\pi\)
\(164\) −2.67160 + 19.5579i −0.208617 + 1.52721i
\(165\) 19.3927 8.03271i 1.50972 0.625345i
\(166\) 6.96363 + 7.97952i 0.540482 + 0.619331i
\(167\) −11.8392 + 11.8392i −0.916142 + 0.916142i −0.996746 0.0806038i \(-0.974315\pi\)
0.0806038 + 0.996746i \(0.474315\pi\)
\(168\) −5.79844 + 3.81355i −0.447359 + 0.294222i
\(169\) −9.19214 9.19214i −0.707088 0.707088i
\(170\) 1.79196 26.3585i 0.137437 2.02161i
\(171\) 0.426856 + 1.03052i 0.0326425 + 0.0788059i
\(172\) −4.40085 + 7.53767i −0.335562 + 0.574742i
\(173\) 21.0615 + 8.72397i 1.60128 + 0.663271i 0.991596 0.129374i \(-0.0412968\pi\)
0.609683 + 0.792645i \(0.291297\pi\)
\(174\) 0.832735 + 2.47288i 0.0631295 + 0.187469i
\(175\) 15.2359i 1.15172i
\(176\) −24.8940 + 3.03152i −1.87646 + 0.228509i
\(177\) 0.796570i 0.0598739i
\(178\) −12.7726 + 4.30114i −0.957349 + 0.322384i
\(179\) −4.75826 1.97094i −0.355649 0.147315i 0.197703 0.980262i \(-0.436652\pi\)
−0.553353 + 0.832947i \(0.686652\pi\)
\(180\) 1.70162 + 6.47626i 0.126831 + 0.482712i
\(181\) −3.71100 8.95914i −0.275836 0.665928i 0.723876 0.689931i \(-0.242359\pi\)
−0.999712 + 0.0240027i \(0.992359\pi\)
\(182\) 0.0649424 + 0.00441506i 0.00481385 + 0.000327266i
\(183\) 8.91104 + 8.91104i 0.658723 + 0.658723i
\(184\) 4.53489 6.68099i 0.334316 0.492529i
\(185\) 7.36237 7.36237i 0.541293 0.541293i
\(186\) 1.47093 1.28366i 0.107854 0.0941229i
\(187\) 32.3195 13.3872i 2.36343 0.978966i
\(188\) −1.84731 + 1.40328i −0.134729 + 0.102345i
\(189\) −0.938989 + 2.26692i −0.0683014 + 0.164894i
\(190\) −4.73103 2.34739i −0.343225 0.170298i
\(191\) 11.4844 0.830980 0.415490 0.909598i \(-0.363610\pi\)
0.415490 + 0.909598i \(0.363610\pi\)
\(192\) 0.116629 7.99915i 0.00841700 0.577289i
\(193\) 19.2681 1.38695 0.693474 0.720482i \(-0.256079\pi\)
0.693474 + 0.720482i \(0.256079\pi\)
\(194\) 2.21699 + 1.10000i 0.159170 + 0.0789756i
\(195\) 0.0240339 0.0580229i 0.00172110 0.00415511i
\(196\) −1.55976 + 1.18485i −0.111411 + 0.0846319i
\(197\) 6.48659 2.68683i 0.462151 0.191429i −0.139445 0.990230i \(-0.544532\pi\)
0.601596 + 0.798801i \(0.294532\pi\)
\(198\) −6.68029 + 5.82980i −0.474747 + 0.414306i
\(199\) 14.6525 14.6525i 1.03868 1.03868i 0.0394638 0.999221i \(-0.487435\pi\)
0.999221 0.0394638i \(-0.0125650\pi\)
\(200\) −14.5314 9.86352i −1.02752 0.697456i
\(201\) −3.80452 3.80452i −0.268350 0.268350i
\(202\) 11.7778 + 0.800706i 0.828686 + 0.0563375i
\(203\) −1.73250 4.18263i −0.121598 0.293563i
\(204\) 2.83589 + 10.7932i 0.198552 + 0.755676i
\(205\) −30.5290 12.6455i −2.13224 0.883201i
\(206\) 7.39768 2.49114i 0.515421 0.173566i
\(207\) 2.85484i 0.198425i
\(208\) −0.0462538 + 0.0590811i −0.00320712 + 0.00409654i
\(209\) 6.99316i 0.483727i
\(210\) −3.70770 11.0103i −0.255855 0.759786i
\(211\) −2.80379 1.16137i −0.193021 0.0799519i 0.284079 0.958801i \(-0.408312\pi\)
−0.477100 + 0.878849i \(0.658312\pi\)
\(212\) −6.76375 + 11.5848i −0.464536 + 0.795646i
\(213\) −0.964940 2.32957i −0.0661166 0.159620i
\(214\) −1.39303 + 20.4905i −0.0952253 + 1.40070i
\(215\) −10.3318 10.3318i −0.704625 0.704625i
\(216\) −1.55421 2.36314i −0.105750 0.160792i
\(217\) −2.39517 + 2.39517i −0.162594 + 0.162594i
\(218\) −14.9450 17.1253i −1.01221 1.15987i
\(219\) −2.18850 + 0.906505i −0.147885 + 0.0612559i
\(220\) 5.68182 41.5947i 0.383068 2.80431i
\(221\) 0.0400544 0.0966999i 0.00269435 0.00650474i
\(222\) −1.95477 + 3.93973i −0.131196 + 0.264417i
\(223\) −6.12103 −0.409894 −0.204947 0.978773i \(-0.565702\pi\)
−0.204947 + 0.978773i \(0.565702\pi\)
\(224\) 0.739472 + 13.8605i 0.0494080 + 0.926093i
\(225\) −6.20936 −0.413957
\(226\) 1.71552 3.45752i 0.114115 0.229991i
\(227\) −6.52469 + 15.7520i −0.433059 + 1.04550i 0.545237 + 0.838282i \(0.316440\pi\)
−0.978296 + 0.207214i \(0.933560\pi\)
\(228\) 2.21033 + 0.301930i 0.146383 + 0.0199958i
\(229\) −8.60895 + 3.56595i −0.568896 + 0.235644i −0.648542 0.761179i \(-0.724621\pi\)
0.0796463 + 0.996823i \(0.474621\pi\)
\(230\) 8.88780 + 10.1844i 0.586044 + 0.671540i
\(231\) 10.8777 10.8777i 0.715701 0.715701i
\(232\) 5.11083 + 1.05539i 0.335542 + 0.0692900i
\(233\) 7.99720 + 7.99720i 0.523914 + 0.523914i 0.918751 0.394837i \(-0.129199\pi\)
−0.394837 + 0.918751i \(0.629199\pi\)
\(234\) −0.00179935 + 0.0264672i −0.000117627 + 0.00173021i
\(235\) −1.48615 3.58788i −0.0969456 0.234047i
\(236\) −1.37581 0.803266i −0.0895578 0.0522881i
\(237\) 2.46894 + 1.02267i 0.160375 + 0.0664295i
\(238\) −6.17918 18.3496i −0.400537 1.18943i
\(239\) 6.26707i 0.405383i 0.979243 + 0.202692i \(0.0649689\pi\)
−0.979243 + 0.202692i \(0.935031\pi\)
\(240\) 12.9015 + 3.59171i 0.832790 + 0.231844i
\(241\) 15.7602i 1.01520i 0.861592 + 0.507601i \(0.169468\pi\)
−0.861592 + 0.507601i \(0.830532\pi\)
\(242\) 37.9380 12.7755i 2.43875 0.821240i
\(243\) −0.923880 0.382683i −0.0592669 0.0245492i
\(244\) 24.3768 6.40494i 1.56057 0.410034i
\(245\) −1.25481 3.02939i −0.0801671 0.193541i
\(246\) 13.9258 + 0.946734i 0.887876 + 0.0603615i
\(247\) −0.0147952 0.0147952i −0.000941395 0.000941395i
\(248\) −0.733811 3.83501i −0.0465970 0.243523i
\(249\) 5.29540 5.29540i 0.335582 0.335582i
\(250\) 4.31430 3.76503i 0.272860 0.238121i
\(251\) −19.0196 + 7.87816i −1.20050 + 0.497265i −0.891162 0.453686i \(-0.850109\pi\)
−0.309342 + 0.950951i \(0.600109\pi\)
\(252\) 2.96848 + 3.90777i 0.186996 + 0.246166i
\(253\) −6.84941 + 16.5359i −0.430619 + 1.03961i
\(254\) −19.4253 9.63826i −1.21885 0.604758i
\(255\) −18.6813 −1.16987
\(256\) −13.6983 8.26783i −0.856143 0.516739i
\(257\) −5.22771 −0.326096 −0.163048 0.986618i \(-0.552132\pi\)
−0.163048 + 0.986618i \(0.552132\pi\)
\(258\) 5.52873 + 2.74319i 0.344204 + 0.170784i
\(259\) 2.92013 7.04983i 0.181448 0.438055i
\(260\) −0.0759796 0.100021i −0.00471206 0.00620306i
\(261\) 1.70463 0.706079i 0.105514 0.0437052i
\(262\) −15.8874 + 13.8647i −0.981524 + 0.856563i
\(263\) 5.59065 5.59065i 0.344734 0.344734i −0.513410 0.858144i \(-0.671618\pi\)
0.858144 + 0.513410i \(0.171618\pi\)
\(264\) 3.33262 + 17.4168i 0.205109 + 1.07193i
\(265\) −15.8792 15.8792i −0.975450 0.975450i
\(266\) −3.86168 0.262533i −0.236775 0.0160969i
\(267\) 3.64695 + 8.80452i 0.223190 + 0.538828i
\(268\) −10.4076 + 2.73456i −0.635743 + 0.167040i
\(269\) 9.92617 + 4.11155i 0.605209 + 0.250686i 0.664179 0.747574i \(-0.268781\pi\)
−0.0589693 + 0.998260i \(0.518781\pi\)
\(270\) 4.48725 1.51107i 0.273085 0.0919605i
\(271\) 15.4368i 0.937717i 0.883273 + 0.468858i \(0.155335\pi\)
−0.883273 + 0.468858i \(0.844665\pi\)
\(272\) 21.5014 + 5.98587i 1.30372 + 0.362947i
\(273\) 0.0460272i 0.00278569i
\(274\) 1.95411 + 5.80292i 0.118052 + 0.350567i
\(275\) 35.9662 + 14.8977i 2.16884 + 0.898363i
\(276\) −4.93080 2.87884i −0.296799 0.173286i
\(277\) 1.79136 + 4.32473i 0.107633 + 0.259848i 0.968515 0.248956i \(-0.0800876\pi\)
−0.860882 + 0.508804i \(0.830088\pi\)
\(278\) 0.155759 2.29111i 0.00934182 0.137412i
\(279\) −0.976146 0.976146i −0.0584403 0.0584403i
\(280\) −22.7556 4.69907i −1.35991 0.280823i
\(281\) −3.70347 + 3.70347i −0.220931 + 0.220931i −0.808890 0.587960i \(-0.799931\pi\)
0.587960 + 0.808890i \(0.299931\pi\)
\(282\) 1.07858 + 1.23593i 0.0642287 + 0.0735988i
\(283\) −16.1605 + 6.69389i −0.960641 + 0.397910i −0.807220 0.590250i \(-0.799029\pi\)
−0.153421 + 0.988161i \(0.549029\pi\)
\(284\) −4.99662 0.682536i −0.296495 0.0405011i
\(285\) −1.42913 + 3.45022i −0.0846543 + 0.204374i
\(286\) 0.0739231 0.148987i 0.00437116 0.00880981i
\(287\) −24.2174 −1.42951
\(288\) −5.64882 + 0.301371i −0.332860 + 0.0177584i
\(289\) −14.1339 −0.831407
\(290\) −3.88292 + 7.82579i −0.228013 + 0.459546i
\(291\) 0.669698 1.61679i 0.0392584 0.0947782i
\(292\) −0.641203 + 4.69403i −0.0375236 + 0.274697i
\(293\) 13.5656 5.61904i 0.792509 0.328268i 0.0505573 0.998721i \(-0.483900\pi\)
0.741952 + 0.670453i \(0.233900\pi\)
\(294\) 0.910691 + 1.04355i 0.0531126 + 0.0608610i
\(295\) 1.88582 1.88582i 0.109796 0.109796i
\(296\) 4.83338 + 7.34907i 0.280934 + 0.427156i
\(297\) 4.43319 + 4.43319i 0.257240 + 0.257240i
\(298\) −2.14052 + 31.4855i −0.123997 + 1.82391i
\(299\) 0.0204935 + 0.0494756i 0.00118517 + 0.00286125i
\(300\) −6.26155 + 10.7246i −0.361511 + 0.619187i
\(301\) −9.89322 4.09791i −0.570236 0.236199i
\(302\) −6.01477 17.8614i −0.346111 1.02781i
\(303\) 8.34741i 0.479546i
\(304\) 2.75039 3.51315i 0.157746 0.201493i
\(305\) 42.1923i 2.41593i
\(306\) 7.47836 2.51831i 0.427510 0.143962i
\(307\) 15.6321 + 6.47504i 0.892173 + 0.369550i 0.781206 0.624274i \(-0.214605\pi\)
0.110968 + 0.993824i \(0.464605\pi\)
\(308\) −7.81852 29.7568i −0.445502 1.69555i
\(309\) −2.11225 5.09942i −0.120162 0.290096i
\(310\) 6.52129 + 0.443345i 0.370385 + 0.0251803i
\(311\) 22.8167 + 22.8167i 1.29381 + 1.29381i 0.932408 + 0.361407i \(0.117703\pi\)
0.361407 + 0.932408i \(0.382297\pi\)
\(312\) 0.0438989 + 0.0297974i 0.00248528 + 0.00168695i
\(313\) 7.52178 7.52178i 0.425156 0.425156i −0.461819 0.886974i \(-0.652803\pi\)
0.886974 + 0.461819i \(0.152803\pi\)
\(314\) −20.9930 + 18.3203i −1.18470 + 1.03388i
\(315\) −7.58973 + 3.14377i −0.427633 + 0.177131i
\(316\) 4.25602 3.23302i 0.239420 0.181872i
\(317\) −9.98241 + 24.0997i −0.560668 + 1.35357i 0.348565 + 0.937285i \(0.386669\pi\)
−0.909233 + 0.416288i \(0.863331\pi\)
\(318\) 8.49721 + 4.21606i 0.476500 + 0.236425i
\(319\) −11.5677 −0.647665
\(320\) 19.2135 18.6612i 1.07407 1.04320i
\(321\) 14.5224 0.810560
\(322\) 8.87414 + 4.40308i 0.494537 + 0.245374i
\(323\) −2.38176 + 5.75008i −0.132525 + 0.319943i
\(324\) −1.59260 + 1.20980i −0.0884780 + 0.0672110i
\(325\) 0.107611 0.0445739i 0.00596918 0.00247251i
\(326\) 16.7464 14.6144i 0.927498 0.809415i
\(327\) −11.3648 + 11.3648i −0.628472 + 0.628472i
\(328\) 15.6780 23.0975i 0.865674 1.27535i
\(329\) −2.01251 2.01251i −0.110953 0.110953i
\(330\) −29.6166 2.01346i −1.63034 0.110837i
\(331\) −12.9034 31.1516i −0.709235 1.71225i −0.701903 0.712272i \(-0.747666\pi\)
−0.00733222 0.999973i \(-0.502334\pi\)
\(332\) −3.80615 14.4860i −0.208889 0.795020i
\(333\) 2.87315 + 1.19010i 0.157447 + 0.0652169i
\(334\) 22.4402 7.55665i 1.22787 0.413481i
\(335\) 18.0138i 0.984200i
\(336\) 9.74281 1.18645i 0.531514 0.0647261i
\(337\) 0.925243i 0.0504012i −0.999682 0.0252006i \(-0.991978\pi\)
0.999682 0.0252006i \(-0.00802245\pi\)
\(338\) 5.86711 + 17.4229i 0.319129 + 0.947683i
\(339\) −2.52149 1.04443i −0.136948 0.0567259i
\(340\) −18.8383 + 32.2658i −1.02165 + 1.74986i
\(341\) 3.31208 + 7.99607i 0.179359 + 0.433012i
\(342\) 0.106995 1.57382i 0.00578562 0.0851025i
\(343\) −13.8444 13.8444i −0.747528 0.747528i
\(344\) 10.3132 6.78282i 0.556048 0.365705i
\(345\) 6.75861 6.75861i 0.363871 0.363871i
\(346\) −21.1981 24.2906i −1.13962 1.30587i
\(347\) 8.68292 3.59658i 0.466123 0.193075i −0.137245 0.990537i \(-0.543825\pi\)
0.603369 + 0.797462i \(0.293825\pi\)
\(348\) 0.499435 3.65619i 0.0267725 0.195993i
\(349\) 0.586633 1.41626i 0.0314017 0.0758105i −0.907401 0.420266i \(-0.861937\pi\)
0.938802 + 0.344456i \(0.111937\pi\)
\(350\) 9.57683 19.3015i 0.511903 1.03171i
\(351\) 0.0187583 0.00100125
\(352\) 33.4424 + 11.8072i 1.78249 + 0.629326i
\(353\) 10.8550 0.577751 0.288876 0.957367i \(-0.406719\pi\)
0.288876 + 0.957367i \(0.406719\pi\)
\(354\) −0.500701 + 1.00913i −0.0266119 + 0.0536347i
\(355\) 3.23066 7.79949i 0.171465 0.413954i
\(356\) 18.8845 + 2.57962i 1.00088 + 0.136720i
\(357\) −12.6489 + 5.23935i −0.669451 + 0.277296i
\(358\) 4.78911 + 5.48778i 0.253113 + 0.290038i
\(359\) 21.6767 21.6767i 1.14406 1.14406i 0.156354 0.987701i \(-0.450026\pi\)
0.987701 0.156354i \(-0.0499741\pi\)
\(360\) 1.91510 9.27401i 0.100935 0.488783i
\(361\) −12.5553 12.5553i −0.660803 0.660803i
\(362\) −0.930192 + 13.6825i −0.0488898 + 0.719135i
\(363\) −10.8324 26.1517i −0.568553 1.37261i
\(364\) −0.0794969 0.0464141i −0.00416677 0.00243276i
\(365\) −7.32717 3.03501i −0.383521 0.158860i
\(366\) −5.68769 16.8901i −0.297301 0.882861i
\(367\) 0.154514i 0.00806555i −0.999992 0.00403277i \(-0.998716\pi\)
0.999992 0.00403277i \(-0.00128367\pi\)
\(368\) −9.94448 + 5.61329i −0.518392 + 0.292613i
\(369\) 9.86975i 0.513799i
\(370\) −13.9548 + 4.69922i −0.725474 + 0.244301i
\(371\) −15.2051 6.29815i −0.789408 0.326984i
\(372\) −2.67032 + 0.701620i −0.138450 + 0.0363773i
\(373\) 5.40842 + 13.0571i 0.280037 + 0.676070i 0.999836 0.0181131i \(-0.00576589\pi\)
−0.719799 + 0.694183i \(0.755766\pi\)
\(374\) −49.3585 3.35560i −2.55227 0.173514i
\(375\) −2.86307 2.86307i −0.147848 0.147848i
\(376\) 3.22232 0.616575i 0.166178 0.0317974i
\(377\) −0.0244733 + 0.0244733i −0.00126044 + 0.00126044i
\(378\) 2.61447 2.28162i 0.134474 0.117354i
\(379\) 17.4888 7.24410i 0.898340 0.372105i 0.114758 0.993393i \(-0.463391\pi\)
0.783582 + 0.621289i \(0.213391\pi\)
\(380\) 4.51798 + 5.94758i 0.231768 + 0.305104i
\(381\) −5.86792 + 14.1664i −0.300623 + 0.725767i
\(382\) −14.5489 7.21874i −0.744388 0.369343i
\(383\) −30.0898 −1.53752 −0.768759 0.639538i \(-0.779126\pi\)
−0.768759 + 0.639538i \(0.779126\pi\)
\(384\) −5.17578 + 10.0604i −0.264126 + 0.513392i
\(385\) 51.5042 2.62490
\(386\) −24.4097 12.1114i −1.24242 0.616452i
\(387\) 1.67010 4.03197i 0.0848957 0.204956i
\(388\) −2.11715 2.78707i −0.107482 0.141492i
\(389\) 11.7666 4.87387i 0.596589 0.247115i −0.0638936 0.997957i \(-0.520352\pi\)
0.660482 + 0.750842i \(0.270352\pi\)
\(390\) −0.0669188 + 0.0583991i −0.00338856 + 0.00295715i
\(391\) 11.2638 11.2638i 0.569633 0.569633i
\(392\) 2.72073 0.520599i 0.137418 0.0262942i
\(393\) 10.5432 + 10.5432i 0.531835 + 0.531835i
\(394\) −9.90638 0.673477i −0.499076 0.0339293i
\(395\) 3.42394 + 8.26611i 0.172277 + 0.415913i
\(396\) 12.1273 3.18643i 0.609422 0.160124i
\(397\) 15.2331 + 6.30976i 0.764527 + 0.316678i 0.730653 0.682749i \(-0.239216\pi\)
0.0338739 + 0.999426i \(0.489216\pi\)
\(398\) −27.7725 + 9.35230i −1.39211 + 0.468788i
\(399\) 2.73692i 0.137017i
\(400\) 12.2091 + 21.6295i 0.610454 + 1.08148i
\(401\) 35.7766i 1.78660i −0.449463 0.893299i \(-0.648385\pi\)
0.449463 0.893299i \(-0.351615\pi\)
\(402\) 2.42833 + 7.21116i 0.121114 + 0.359660i
\(403\) 0.0239243 + 0.00990976i 0.00119175 + 0.000493641i
\(404\) −14.4174 8.41757i −0.717293 0.418790i
\(405\) −1.28124 3.09318i −0.0636653 0.153702i
\(406\) −0.434266 + 6.38776i −0.0215523 + 0.317019i
\(407\) −13.7867 13.7867i −0.683380 0.683380i
\(408\) 3.19167 15.4559i 0.158011 0.765181i
\(409\) −4.31657 + 4.31657i −0.213440 + 0.213440i −0.805727 0.592287i \(-0.798225\pi\)
0.592287 + 0.805727i \(0.298225\pi\)
\(410\) 30.7269 + 35.2095i 1.51749 + 1.73887i
\(411\) 4.00011 1.65690i 0.197311 0.0817289i
\(412\) −10.9376 1.49407i −0.538856 0.0736075i
\(413\) 0.747970 1.80576i 0.0368052 0.0888557i
\(414\) −1.79447 + 3.61664i −0.0881933 + 0.177748i
\(415\) 25.0729 1.23078
\(416\) 0.0957331 0.0457729i 0.00469370 0.00224420i
\(417\) −1.62380 −0.0795178
\(418\) −4.39569 + 8.85925i −0.215000 + 0.433320i
\(419\) −7.37576 + 17.8067i −0.360330 + 0.869913i 0.634922 + 0.772576i \(0.281032\pi\)
−0.995252 + 0.0973364i \(0.968968\pi\)
\(420\) −2.22370 + 16.2790i −0.108505 + 0.794332i
\(421\) −5.03356 + 2.08497i −0.245321 + 0.101615i −0.501956 0.864893i \(-0.667386\pi\)
0.256635 + 0.966508i \(0.417386\pi\)
\(422\) 2.82197 + 3.23365i 0.137371 + 0.157412i
\(423\) 0.820194 0.820194i 0.0398792 0.0398792i
\(424\) 15.8505 10.4246i 0.769768 0.506265i
\(425\) −24.4990 24.4990i −1.18838 1.18838i
\(426\) −0.241870 + 3.55774i −0.0117186 + 0.172373i
\(427\) 11.8332 + 28.5680i 0.572651 + 1.38250i
\(428\) 14.6444 25.0826i 0.707866 1.21241i
\(429\) −0.108653 0.0450055i −0.00524581 0.00217288i
\(430\) 6.59455 + 19.5831i 0.318017 + 0.944382i
\(431\) 18.4128i 0.886914i −0.896296 0.443457i \(-0.853752\pi\)
0.896296 0.443457i \(-0.146248\pi\)
\(432\) 0.483535 + 3.97067i 0.0232641 + 0.191039i
\(433\) 0.227663i 0.0109408i 0.999985 + 0.00547038i \(0.00174129\pi\)
−0.999985 + 0.00547038i \(0.998259\pi\)
\(434\) 4.53984 1.52877i 0.217919 0.0733835i
\(435\) 5.70715 + 2.36398i 0.273637 + 0.113344i
\(436\) 8.16859 + 31.0891i 0.391204 + 1.48890i
\(437\) −1.21860 2.94197i −0.0582938 0.140734i
\(438\) 3.34229 + 0.227223i 0.159701 + 0.0108571i
\(439\) −19.0619 19.0619i −0.909774 0.909774i 0.0864799 0.996254i \(-0.472438\pi\)
−0.996254 + 0.0864799i \(0.972438\pi\)
\(440\) −33.3432 + 49.1226i −1.58957 + 2.34183i
\(441\) 0.692523 0.692523i 0.0329773 0.0329773i
\(442\) −0.111526 + 0.0973269i −0.00530473 + 0.00462937i
\(443\) 28.0493 11.6184i 1.33266 0.552008i 0.401250 0.915968i \(-0.368576\pi\)
0.931414 + 0.363961i \(0.118576\pi\)
\(444\) 4.95280 3.76231i 0.235049 0.178552i
\(445\) −12.2101 + 29.4779i −0.578816 + 1.39739i
\(446\) 7.75440 + 3.84750i 0.367182 + 0.182184i
\(447\) 22.3150 1.05546
\(448\) 7.77550 18.0239i 0.367358 0.851550i
\(449\) 33.0005 1.55739 0.778696 0.627401i \(-0.215881\pi\)
0.778696 + 0.627401i \(0.215881\pi\)
\(450\) 7.86630 + 3.90302i 0.370821 + 0.183990i
\(451\) −23.6798 + 57.1681i −1.11504 + 2.69194i
\(452\) −4.34660 + 3.30183i −0.204447 + 0.155305i
\(453\) −12.3124 + 5.09995i −0.578486 + 0.239617i
\(454\) 18.1670 15.8541i 0.852620 0.744070i
\(455\) 0.108966 0.108966i 0.00510839 0.00510839i
\(456\) −2.61036 1.77185i −0.122241 0.0829744i
\(457\) 19.3344 + 19.3344i 0.904423 + 0.904423i 0.995815 0.0913920i \(-0.0291316\pi\)
−0.0913920 + 0.995815i \(0.529132\pi\)
\(458\) 13.1477 + 0.893833i 0.614350 + 0.0417661i
\(459\) −2.13529 5.15504i −0.0996667 0.240617i
\(460\) −4.85785 18.4887i −0.226498 0.862039i
\(461\) −19.0532 7.89211i −0.887398 0.367572i −0.108037 0.994147i \(-0.534456\pi\)
−0.779361 + 0.626575i \(0.784456\pi\)
\(462\) −20.6178 + 6.94297i −0.959227 + 0.323016i
\(463\) 18.6664i 0.867499i −0.901034 0.433749i \(-0.857190\pi\)
0.901034 0.433749i \(-0.142810\pi\)
\(464\) −5.81124 4.54954i −0.269780 0.211207i
\(465\) 4.62190i 0.214335i
\(466\) −5.10441 15.1580i −0.236457 0.702182i
\(467\) −1.38748 0.574712i −0.0642048 0.0265945i 0.350350 0.936619i \(-0.386063\pi\)
−0.414555 + 0.910024i \(0.636063\pi\)
\(468\) 0.0189160 0.0323988i 0.000874392 0.00149764i
\(469\) −5.05214 12.1970i −0.233286 0.563203i
\(470\) −0.372515 + 5.47944i −0.0171828 + 0.252748i
\(471\) 13.9315 + 13.9315i 0.641927 + 0.641927i
\(472\) 1.23803 + 1.88241i 0.0569851 + 0.0866449i
\(473\) −19.3472 + 19.3472i −0.889586 + 0.889586i
\(474\) −2.48495 2.84747i −0.114138 0.130789i
\(475\) −6.39888 + 2.65050i −0.293601 + 0.121613i
\(476\) −3.70598 + 27.1302i −0.169863 + 1.24351i
\(477\) 2.56680 6.19681i 0.117526 0.283732i
\(478\) 3.93930 7.93942i 0.180179 0.363140i
\(479\) −20.1621 −0.921229 −0.460615 0.887600i \(-0.652371\pi\)
−0.460615 + 0.887600i \(0.652371\pi\)
\(480\) −14.0866 12.6597i −0.642963 0.577832i
\(481\) −0.0583360 −0.00265989
\(482\) 9.90639 19.9657i 0.451224 0.909414i
\(483\) 2.68066 6.47169i 0.121974 0.294472i
\(484\) −56.0919 7.66214i −2.54963 0.348279i
\(485\) 5.41309 2.24218i 0.245796 0.101812i
\(486\) 0.929869 + 1.06552i 0.0421797 + 0.0483332i
\(487\) −14.3589 + 14.3589i −0.650665 + 0.650665i −0.953153 0.302488i \(-0.902183\pi\)
0.302488 + 0.953153i \(0.402183\pi\)
\(488\) −34.9076 7.20848i −1.58019 0.326313i
\(489\) −11.1133 11.1133i −0.502561 0.502561i
\(490\) −0.314529 + 4.62651i −0.0142090 + 0.209004i
\(491\) 7.84066 + 18.9290i 0.353844 + 0.854255i 0.996138 + 0.0877968i \(0.0279826\pi\)
−0.642294 + 0.766458i \(0.722017\pi\)
\(492\) −17.0467 9.95271i −0.768527 0.448703i
\(493\) 9.51144 + 3.93977i 0.428374 + 0.177438i
\(494\) 0.00944340 + 0.0280430i 0.000424879 + 0.00126172i
\(495\) 20.9905i 0.943452i
\(496\) −1.48095 + 5.31962i −0.0664966 + 0.238858i
\(497\) 6.18702i 0.277526i
\(498\) −10.0370 + 3.37992i −0.449768 + 0.151458i
\(499\) 11.1249 + 4.60809i 0.498020 + 0.206286i 0.617531 0.786546i \(-0.288133\pi\)
−0.119512 + 0.992833i \(0.538133\pi\)
\(500\) −7.83214 + 2.05787i −0.350264 + 0.0920308i
\(501\) −6.40731 15.4686i −0.286258 0.691087i
\(502\) 29.0468 + 1.97472i 1.29642 + 0.0881363i
\(503\) −10.7388 10.7388i −0.478820 0.478820i 0.425934 0.904754i \(-0.359946\pi\)
−0.904754 + 0.425934i \(0.859946\pi\)
\(504\) −1.30429 6.81644i −0.0580978 0.303628i
\(505\) 19.7618 19.7618i 0.879390 0.879390i
\(506\) 19.0712 16.6431i 0.847816 0.739878i
\(507\) 12.0101 4.97475i 0.533388 0.220936i
\(508\) 18.5506 + 24.4204i 0.823048 + 1.08348i
\(509\) −7.73386 + 18.6712i −0.342797 + 0.827586i 0.654633 + 0.755947i \(0.272823\pi\)
−0.997431 + 0.0716392i \(0.977177\pi\)
\(510\) 23.6663 + 11.7425i 1.04796 + 0.519968i
\(511\) −5.81234 −0.257123
\(512\) 12.1567 + 19.0844i 0.537256 + 0.843419i
\(513\) −1.11543 −0.0492473
\(514\) 6.62270 + 3.28599i 0.292115 + 0.144939i
\(515\) 7.07189 17.0731i 0.311625 0.752329i
\(516\) −5.27976 6.95040i −0.232429 0.305974i
\(517\) −6.71860 + 2.78294i −0.295484 + 0.122393i
\(518\) −8.13068 + 7.09554i −0.357241 + 0.311760i
\(519\) −16.1198 + 16.1198i −0.707581 + 0.707581i
\(520\) 0.0333840 + 0.174470i 0.00146399 + 0.00765102i
\(521\) 13.6485 + 13.6485i 0.597953 + 0.597953i 0.939767 0.341815i \(-0.111042\pi\)
−0.341815 + 0.939767i \(0.611042\pi\)
\(522\) −2.60332 0.176985i −0.113944 0.00774640i
\(523\) −6.91544 16.6954i −0.302391 0.730037i −0.999909 0.0134697i \(-0.995712\pi\)
0.697518 0.716567i \(-0.254288\pi\)
\(524\) 28.8418 7.57809i 1.25996 0.331051i
\(525\) −14.0761 5.83052i −0.614332 0.254465i
\(526\) −10.5966 + 3.56837i −0.462034 + 0.155588i
\(527\) 7.70276i 0.335538i
\(528\) 6.72578 24.1592i 0.292702 1.05139i
\(529\) 14.8499i 0.645647i
\(530\) 10.1353 + 30.0977i 0.440249 + 1.30736i
\(531\) 0.735935 + 0.304834i 0.0319369 + 0.0132287i
\(532\) 4.72713 + 2.75993i 0.204947 + 0.119658i
\(533\) 0.0708500 + 0.171047i 0.00306885 + 0.00740887i
\(534\) 0.914138 13.4463i 0.0395586 0.581880i
\(535\) 34.3806 + 34.3806i 1.48640 + 1.48640i
\(536\) 14.9036 + 3.07763i 0.643740 + 0.132933i
\(537\) 3.64182 3.64182i 0.157156 0.157156i
\(538\) −9.99053 11.4480i −0.430722 0.493559i
\(539\) −5.67279 + 2.34974i −0.244344 + 0.101211i
\(540\) −6.63447 0.906266i −0.285502 0.0389995i
\(541\) 9.51555 22.9726i 0.409106 0.987668i −0.576268 0.817261i \(-0.695492\pi\)
0.985374 0.170407i \(-0.0545084\pi\)
\(542\) 9.70310 19.5560i 0.416784 0.840002i
\(543\) 9.69731 0.416151
\(544\) −23.4765 21.0984i −1.00655 0.904585i
\(545\) −53.8103 −2.30498
\(546\) −0.0289314 + 0.0583094i −0.00123815 + 0.00249541i
\(547\) 11.3958 27.5119i 0.487250 1.17633i −0.468848 0.883279i \(-0.655331\pi\)
0.956098 0.293046i \(-0.0946690\pi\)
\(548\) 1.17198 8.57971i 0.0500647 0.366507i
\(549\) −11.6428 + 4.82262i −0.496904 + 0.205824i
\(550\) −36.1993 41.4803i −1.54355 1.76873i
\(551\) 1.45526 1.45526i 0.0619961 0.0619961i
\(552\) 4.43701 + 6.74640i 0.188852 + 0.287146i
\(553\) 4.63662 + 4.63662i 0.197169 + 0.197169i
\(554\) 0.449020 6.60477i 0.0190770 0.280610i
\(555\) 3.98449 + 9.61941i 0.169132 + 0.408321i
\(556\) −1.63745 + 2.80458i −0.0694433 + 0.118941i
\(557\) 1.70939 + 0.708053i 0.0724292 + 0.0300012i 0.418604 0.908169i \(-0.362520\pi\)
−0.346175 + 0.938170i \(0.612520\pi\)
\(558\) 0.623050 + 1.85020i 0.0263758 + 0.0783253i
\(559\) 0.0818645i 0.00346250i
\(560\) 25.8742 + 20.2565i 1.09338 + 0.855994i
\(561\) 34.9823i 1.47695i
\(562\) 7.01962 2.36383i 0.296105 0.0997123i
\(563\) 19.1605 + 7.93652i 0.807517 + 0.334485i 0.747963 0.663741i \(-0.231032\pi\)
0.0595542 + 0.998225i \(0.481032\pi\)
\(564\) −0.589527 2.24370i −0.0248236 0.0944770i
\(565\) −3.49681 8.44204i −0.147112 0.355159i
\(566\) 24.6804 + 1.67788i 1.03740 + 0.0705265i
\(567\) −1.73503 1.73503i −0.0728642 0.0728642i
\(568\) 5.90092 + 4.00540i 0.247597 + 0.168063i
\(569\) −15.1289 + 15.1289i −0.634235 + 0.634235i −0.949127 0.314892i \(-0.898032\pi\)
0.314892 + 0.949127i \(0.398032\pi\)
\(570\) 3.97920 3.47259i 0.166670 0.145451i
\(571\) −12.1094 + 5.01587i −0.506761 + 0.209907i −0.621391 0.783501i \(-0.713432\pi\)
0.114629 + 0.993408i \(0.463432\pi\)
\(572\) −0.187298 + 0.142278i −0.00783133 + 0.00594895i
\(573\) −4.39488 + 10.6102i −0.183599 + 0.443246i
\(574\) 30.6797 + 15.2223i 1.28055 + 0.635368i
\(575\) 17.7267 0.739256
\(576\) 7.34562 + 3.16889i 0.306067 + 0.132037i
\(577\) −35.7790 −1.48950 −0.744749 0.667344i \(-0.767431\pi\)
−0.744749 + 0.667344i \(0.767431\pi\)
\(578\) 17.9055 + 8.88417i 0.744771 + 0.369533i
\(579\) −7.37358 + 17.8014i −0.306435 + 0.739801i
\(580\) 9.83812 7.47338i 0.408506 0.310315i
\(581\) 16.9766 7.03192i 0.704306 0.291733i
\(582\) −1.86467 + 1.62728i −0.0772932 + 0.0674528i
\(583\) −29.7351 + 29.7351i −1.23150 + 1.23150i
\(584\) 3.76283 5.54357i 0.155707 0.229395i
\(585\) 0.0444088 + 0.0444088i 0.00183608 + 0.00183608i
\(586\) −20.7175 1.40846i −0.855830 0.0581829i
\(587\) 10.9958 + 26.5462i 0.453845 + 1.09568i 0.970848 + 0.239696i \(0.0770477\pi\)
−0.517003 + 0.855984i \(0.672952\pi\)
\(588\) −0.497761 1.89445i −0.0205273 0.0781258i
\(589\) −1.42261 0.589265i −0.0586177 0.0242803i
\(590\) −3.57441 + 1.20367i −0.147156 + 0.0495543i
\(591\) 7.02104i 0.288807i
\(592\) −1.50373 12.3483i −0.0618031 0.507510i
\(593\) 13.4778i 0.553469i −0.960946 0.276734i \(-0.910748\pi\)
0.960946 0.276734i \(-0.0892522\pi\)
\(594\) −2.82960 8.40275i −0.116100 0.344769i
\(595\) −42.3490 17.5415i −1.73614 0.719133i
\(596\) 22.5026 38.5419i 0.921743 1.57874i
\(597\) 7.92985 + 19.1444i 0.324547 + 0.783526i
\(598\) 0.00513685 0.0755596i 0.000210062 0.00308986i
\(599\) −11.7247 11.7247i −0.479059 0.479059i 0.425771 0.904831i \(-0.360003\pi\)
−0.904831 + 0.425771i \(0.860003\pi\)
\(600\) 14.6736 9.65062i 0.599048 0.393985i
\(601\) −14.2752 + 14.2752i −0.582299 + 0.582299i −0.935535 0.353235i \(-0.885082\pi\)
0.353235 + 0.935535i \(0.385082\pi\)
\(602\) 9.95737 + 11.4100i 0.405832 + 0.465037i
\(603\) 4.97085 2.05899i 0.202429 0.0838487i
\(604\) −3.60738 + 26.4084i −0.146782 + 1.07454i
\(605\) 36.2673 87.5570i 1.47447 3.55970i
\(606\) −5.24694 + 10.5749i −0.213142 + 0.429575i
\(607\) −30.9234 −1.25514 −0.627571 0.778559i \(-0.715951\pi\)
−0.627571 + 0.778559i \(0.715951\pi\)
\(608\) −5.69259 + 2.72180i −0.230865 + 0.110384i
\(609\) 4.52725 0.183453
\(610\) 26.5209 53.4512i 1.07380 2.16418i
\(611\) −0.00832655 + 0.0201021i −0.000336856 + 0.000813243i
\(612\) −11.0569 1.51037i −0.446948 0.0610529i
\(613\) 34.3535 14.2297i 1.38753 0.574732i 0.441043 0.897486i \(-0.354609\pi\)
0.946483 + 0.322754i \(0.104609\pi\)
\(614\) −15.7335 18.0288i −0.634952 0.727583i
\(615\) 23.3659 23.3659i 0.942202 0.942202i
\(616\) −8.79940 + 42.6118i −0.354538 + 1.71688i
\(617\) −10.2583 10.2583i −0.412985 0.412985i 0.469792 0.882777i \(-0.344329\pi\)
−0.882777 + 0.469792i \(0.844329\pi\)
\(618\) −0.529453 + 7.78788i −0.0212977 + 0.313274i
\(619\) −8.23548 19.8822i −0.331012 0.799133i −0.998512 0.0545238i \(-0.982636\pi\)
0.667501 0.744609i \(-0.267364\pi\)
\(620\) −7.98280 4.66074i −0.320597 0.187180i
\(621\) 2.63753 + 1.09250i 0.105840 + 0.0438405i
\(622\) −14.5633 43.2471i −0.583936 1.73405i
\(623\) 23.3836i 0.936844i
\(624\) −0.0368833 0.0653423i −0.00147651 0.00261579i
\(625\) 17.4906i 0.699626i
\(626\) −14.2569 + 4.80096i −0.569820 + 0.191885i
\(627\) 6.46083 + 2.67617i 0.258021 + 0.106876i
\(628\) 38.1105 10.0134i 1.52078 0.399580i
\(629\) 6.64047 + 16.0315i 0.264773 + 0.639219i
\(630\) 11.5911 + 0.788012i 0.461801 + 0.0313951i
\(631\) 10.2772 + 10.2772i 0.409128 + 0.409128i 0.881434 0.472307i \(-0.156579\pi\)
−0.472307 + 0.881434i \(0.656579\pi\)
\(632\) −7.42390 + 1.42053i −0.295307 + 0.0565056i
\(633\) 2.14593 2.14593i 0.0852930 0.0852930i
\(634\) 27.7945 24.2559i 1.10386 0.963326i
\(635\) −47.4297 + 19.6460i −1.88219 + 0.779629i
\(636\) −8.11456 10.6822i −0.321763 0.423577i
\(637\) −0.00703045 + 0.0169730i −0.000278556 + 0.000672495i
\(638\) 14.6544 + 7.27109i 0.580175 + 0.287865i
\(639\) 2.52151 0.0997494
\(640\) −36.0704 + 11.5639i −1.42581 + 0.457103i
\(641\) −14.5702 −0.575489 −0.287745 0.957707i \(-0.592905\pi\)
−0.287745 + 0.957707i \(0.592905\pi\)
\(642\) −18.3976 9.12834i −0.726096 0.360267i
\(643\) 7.72635 18.6531i 0.304698 0.735605i −0.695162 0.718853i \(-0.744667\pi\)
0.999860 0.0167519i \(-0.00533255\pi\)
\(644\) −8.47452 11.1561i −0.333943 0.439610i
\(645\) 13.4992 5.59154i 0.531530 0.220167i
\(646\) 6.63166 5.78736i 0.260919 0.227701i
\(647\) 5.45944 5.45944i 0.214633 0.214633i −0.591599 0.806232i \(-0.701503\pi\)
0.806232 + 0.591599i \(0.201503\pi\)
\(648\) 2.77803 0.531562i 0.109131 0.0208817i
\(649\) −3.53135 3.53135i −0.138618 0.138618i
\(650\) −0.164344 0.0111728i −0.00644611 0.000438234i
\(651\) −1.29625 3.12943i −0.0508042 0.122652i
\(652\) −30.4013 + 7.98786i −1.19061 + 0.312829i
\(653\) −8.05307 3.33569i −0.315141 0.130536i 0.219506 0.975611i \(-0.429555\pi\)
−0.534647 + 0.845075i \(0.679555\pi\)
\(654\) 21.5409 7.25384i 0.842318 0.283648i
\(655\) 49.9204i 1.95055i
\(656\) −34.3801 + 19.4063i −1.34232 + 0.757688i
\(657\) 2.36881i 0.0924161i
\(658\) 1.28453 + 3.81454i 0.0500763 + 0.148706i
\(659\) 11.5755 + 4.79474i 0.450919 + 0.186777i 0.596573 0.802559i \(-0.296529\pi\)
−0.145654 + 0.989336i \(0.546529\pi\)
\(660\) 36.2541 + 21.1669i 1.41119 + 0.823921i
\(661\) −4.73190 11.4238i −0.184049 0.444335i 0.804745 0.593621i \(-0.202302\pi\)
−0.988794 + 0.149287i \(0.952302\pi\)
\(662\) −3.23434 + 47.5750i −0.125706 + 1.84905i
\(663\) 0.0740109 + 0.0740109i 0.00287435 + 0.00287435i
\(664\) −4.28365 + 20.7439i −0.166238 + 0.805020i
\(665\) −6.47944 + 6.47944i −0.251262 + 0.251262i
\(666\) −2.89177 3.31364i −0.112054 0.128401i
\(667\) −4.86643 + 2.01574i −0.188429 + 0.0780499i
\(668\) −33.1781 4.53212i −1.28370 0.175353i
\(669\) 2.34242 5.65509i 0.0905631 0.218639i
\(670\) −11.3230 + 22.8207i −0.437444 + 0.881642i
\(671\) 79.0087 3.05010
\(672\) −13.0884 4.62100i −0.504896 0.178259i
\(673\) 11.7838 0.454233 0.227117 0.973868i \(-0.427070\pi\)
0.227117 + 0.973868i \(0.427070\pi\)
\(674\) −0.581581 + 1.17214i −0.0224017 + 0.0451492i
\(675\) 2.37622 5.73670i 0.0914607 0.220806i
\(676\) 3.51882 25.7601i 0.135339 0.990772i
\(677\) −31.1449 + 12.9006i −1.19700 + 0.495812i −0.890027 0.455907i \(-0.849315\pi\)
−0.306969 + 0.951719i \(0.599315\pi\)
\(678\) 2.53784 + 2.90807i 0.0974650 + 0.111684i
\(679\) 3.03630 3.03630i 0.116523 0.116523i
\(680\) 44.1466 29.0346i 1.69295 1.11343i
\(681\) −12.0560 12.0560i −0.461989 0.461989i
\(682\) 0.830200 12.2117i 0.0317900 0.467609i
\(683\) −2.44866 5.91159i −0.0936954 0.226201i 0.870083 0.492905i \(-0.164065\pi\)
−0.963778 + 0.266705i \(0.914065\pi\)
\(684\) −1.12480 + 1.92653i −0.0430079 + 0.0736629i
\(685\) 13.3925 + 5.54737i 0.511702 + 0.211954i
\(686\) 8.83655 + 26.2409i 0.337381 + 1.00188i
\(687\) 9.31826i 0.355514i
\(688\) −17.3287 + 2.11023i −0.660649 + 0.0804518i
\(689\) 0.125819i 0.00479333i
\(690\) −12.8104 + 4.31385i −0.487683 + 0.164226i
\(691\) 6.81893 + 2.82449i 0.259404 + 0.107449i 0.508596 0.861005i \(-0.330165\pi\)
−0.249191 + 0.968454i \(0.580165\pi\)
\(692\) 11.5864 + 44.0969i 0.440447 + 1.67631i
\(693\) 5.88697 + 14.2124i 0.223628 + 0.539885i
\(694\) −13.2606 0.901513i −0.503367 0.0342210i
\(695\) −3.84422 3.84422i −0.145819 0.145819i
\(696\) −2.93088 + 4.31791i −0.111095 + 0.163670i
\(697\) 38.9411 38.9411i 1.47500 1.47500i
\(698\) −1.63339 + 1.42544i −0.0618248 + 0.0539537i
\(699\) −10.4488 + 4.32805i −0.395212 + 0.163702i
\(700\) −24.2647 + 18.4323i −0.917121 + 0.696677i
\(701\) 2.75369 6.64799i 0.104005 0.251091i −0.863307 0.504679i \(-0.831611\pi\)
0.967312 + 0.253588i \(0.0816108\pi\)
\(702\) −0.0237639 0.0117909i −0.000896911 0.000445020i
\(703\) 3.46884 0.130830
\(704\) −34.9447 35.9788i −1.31703 1.35600i
\(705\) 3.88349 0.146261
\(706\) −13.7516 6.82311i −0.517547 0.256791i
\(707\) 7.83813 18.9229i 0.294783 0.711669i
\(708\) 1.26862 0.963689i 0.0476777 0.0362176i
\(709\) −46.0951 + 19.0932i −1.73114 + 0.717061i −0.731770 + 0.681552i \(0.761305\pi\)
−0.999369 + 0.0355098i \(0.988695\pi\)
\(710\) −8.99528 + 7.85006i −0.337587 + 0.294607i
\(711\) −1.88965 + 1.88965i −0.0708673 + 0.0708673i
\(712\) −22.3023 15.1382i −0.835814 0.567329i
\(713\) 2.78674 + 2.78674i 0.104364 + 0.104364i
\(714\) 19.3175 + 1.31329i 0.722940 + 0.0491485i
\(715\) −0.150680 0.363774i −0.00563512 0.0136044i
\(716\) −2.61761 9.96247i −0.0978247 0.372315i
\(717\) −5.79002 2.39830i −0.216232 0.0895663i
\(718\) −41.0865 + 13.8357i −1.53333 + 0.516345i
\(719\) 22.0801i 0.823447i 0.911309 + 0.411724i \(0.135073\pi\)
−0.911309 + 0.411724i \(0.864927\pi\)
\(720\) −8.25551 + 10.5450i −0.307665 + 0.392988i
\(721\) 13.5434i 0.504381i
\(722\) 8.01371 + 23.7975i 0.298239 + 0.885649i
\(723\) −14.5605 6.03116i −0.541511 0.224301i
\(724\) 9.77882 16.7489i 0.363427 0.622468i
\(725\) 4.38430 + 10.5846i 0.162829 + 0.393104i
\(726\) −2.71523 + 39.9391i −0.100772 + 1.48228i
\(727\) 12.2216 + 12.2216i 0.453274 + 0.453274i 0.896440 0.443166i \(-0.146145\pi\)
−0.443166 + 0.896440i \(0.646145\pi\)
\(728\) 0.0715357 + 0.108769i 0.00265129 + 0.00403124i
\(729\) 0.707107 0.707107i 0.0261891 0.0261891i
\(730\) 7.37467 + 8.45054i 0.272949 + 0.312768i
\(731\) 22.4975 9.31876i 0.832100 0.344667i
\(732\) −3.41121 + 24.9723i −0.126082 + 0.923003i
\(733\) 10.2112 24.6520i 0.377159 0.910541i −0.615337 0.788264i \(-0.710980\pi\)
0.992496 0.122278i \(-0.0390198\pi\)
\(734\) −0.0971227 + 0.195745i −0.00358487 + 0.00722508i
\(735\) 3.27899 0.120947
\(736\) 16.1265 0.860365i 0.594430 0.0317135i
\(737\) −33.7324 −1.24255
\(738\) −6.20384 + 12.5035i −0.228366 + 0.460259i
\(739\) 12.9929 31.3677i 0.477953 1.15388i −0.482614 0.875833i \(-0.660313\pi\)
0.960567 0.278048i \(-0.0896874\pi\)
\(740\) 20.6323 + 2.81837i 0.758460 + 0.103605i
\(741\) 0.0193308 0.00800710i 0.000710136 0.000294148i
\(742\) 15.3037 + 17.5363i 0.561815 + 0.643776i
\(743\) −14.2568 + 14.2568i −0.523030 + 0.523030i −0.918485 0.395455i \(-0.870587\pi\)
0.395455 + 0.918485i \(0.370587\pi\)
\(744\) 3.82390 + 0.789642i 0.140191 + 0.0289497i
\(745\) 52.8291 + 52.8291i 1.93551 + 1.93551i
\(746\) 1.35566 19.9409i 0.0496344 0.730087i
\(747\) 2.86585 + 6.91877i 0.104856 + 0.253144i
\(748\) 60.4204 + 35.2764i 2.20919 + 1.28983i
\(749\) 32.9211 + 13.6364i 1.20291 + 0.498262i
\(750\) 1.82742 + 5.42670i 0.0667281 + 0.198155i
\(751\) 37.4275i 1.36575i −0.730536 0.682874i \(-0.760730\pi\)
0.730536 0.682874i \(-0.239270\pi\)
\(752\) −4.46974 1.24435i −0.162995 0.0453768i
\(753\) 20.5866i 0.750218i
\(754\) 0.0463871 0.0156207i 0.00168932 0.000568873i
\(755\) −41.2223 17.0748i −1.50023 0.621417i
\(756\) −4.74629 + 1.24708i −0.172621 + 0.0453557i
\(757\) 14.2534 + 34.4107i 0.518048 + 1.25068i 0.939100 + 0.343643i \(0.111661\pi\)
−0.421052 + 0.907036i \(0.638339\pi\)
\(758\) −26.7091 1.81579i −0.970117 0.0659526i
\(759\) −12.6561 12.6561i −0.459386 0.459386i
\(760\) −1.98512 10.3745i −0.0720078 0.376324i
\(761\) 4.71958 4.71958i 0.171085 0.171085i −0.616371 0.787456i \(-0.711398\pi\)
0.787456 + 0.616371i \(0.211398\pi\)
\(762\) 16.3383 14.2583i 0.591876 0.516522i
\(763\) −36.4344 + 15.0916i −1.31901 + 0.546353i
\(764\) 13.8938 + 18.2901i 0.502659 + 0.661711i
\(765\) 7.14903 17.2593i 0.258474 0.624011i
\(766\) 38.1192 + 18.9136i 1.37730 + 0.683376i
\(767\) −0.0149423 −0.000539536
\(768\) 12.8806 9.49161i 0.464788 0.342499i
\(769\) −0.848264 −0.0305892 −0.0152946 0.999883i \(-0.504869\pi\)
−0.0152946 + 0.999883i \(0.504869\pi\)
\(770\) −65.2479 32.3741i −2.35137 1.16668i
\(771\) 2.00056 4.82977i 0.0720483 0.173940i
\(772\) 23.3105 + 30.6864i 0.838963 + 1.10443i
\(773\) −7.34212 + 3.04121i −0.264078 + 0.109385i −0.510794 0.859703i \(-0.670648\pi\)
0.246716 + 0.969088i \(0.420648\pi\)