Properties

Label 731.2.m.c.87.5
Level 731
Weight 2
Character 731.87
Analytic conductor 5.837
Analytic rank 0
Dimension 128
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.m (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(32\) over \(\Q(\zeta_{8})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 87.5
Character \(\chi\) = 731.87
Dual form 731.2.m.c.689.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.33120 - 1.33120i) q^{2} +(-1.44462 + 0.598380i) q^{3} +1.54419i q^{4} +(-1.33546 - 3.22408i) q^{5} +(2.71964 + 1.12651i) q^{6} +(-1.37427 + 3.31778i) q^{7} +(-0.606774 + 0.606774i) q^{8} +(-0.392459 + 0.392459i) q^{9} +O(q^{10})\) \(q+(-1.33120 - 1.33120i) q^{2} +(-1.44462 + 0.598380i) q^{3} +1.54419i q^{4} +(-1.33546 - 3.22408i) q^{5} +(2.71964 + 1.12651i) q^{6} +(-1.37427 + 3.31778i) q^{7} +(-0.606774 + 0.606774i) q^{8} +(-0.392459 + 0.392459i) q^{9} +(-2.51414 + 6.06966i) q^{10} +(1.94956 + 0.807535i) q^{11} +(-0.924013 - 2.23076i) q^{12} +0.942238i q^{13} +(6.24606 - 2.58720i) q^{14} +(3.85845 + 3.85845i) q^{15} +4.70386 q^{16} +(-0.187881 - 4.11882i) q^{17} +1.04488 q^{18} +(0.431782 + 0.431782i) q^{19} +(4.97859 - 2.06220i) q^{20} -5.61526i q^{21} +(-1.52027 - 3.67025i) q^{22} +(0.0917926 + 0.0380217i) q^{23} +(0.513475 - 1.23964i) q^{24} +(-5.07571 + 5.07571i) q^{25} +(1.25431 - 1.25431i) q^{26} +(2.12725 - 5.13565i) q^{27} +(-5.12328 - 2.12213i) q^{28} +(3.25900 + 7.86791i) q^{29} -10.2727i q^{30} +(-0.736288 + 0.304980i) q^{31} +(-5.04823 - 5.04823i) q^{32} -3.29959 q^{33} +(-5.23287 + 5.73309i) q^{34} +12.5321 q^{35} +(-0.606031 - 0.606031i) q^{36} +(-5.48173 + 2.27061i) q^{37} -1.14958i q^{38} +(-0.563817 - 1.36117i) q^{39} +(2.76661 + 1.14597i) q^{40} +(0.755773 - 1.82460i) q^{41} +(-7.47503 + 7.47503i) q^{42} +(-0.707107 + 0.707107i) q^{43} +(-1.24699 + 3.01050i) q^{44} +(1.78943 + 0.741207i) q^{45} +(-0.0715798 - 0.172809i) q^{46} -10.6243i q^{47} +(-6.79527 + 2.81469i) q^{48} +(-4.16929 - 4.16929i) q^{49} +13.5136 q^{50} +(2.73604 + 5.83770i) q^{51} -1.45499 q^{52} +(-4.84142 - 4.84142i) q^{53} +(-9.66838 + 4.00477i) q^{54} -7.36398i q^{55} +(-1.17927 - 2.84701i) q^{56} +(-0.882130 - 0.365390i) q^{57} +(6.13539 - 14.8121i) q^{58} +(5.94525 - 5.94525i) q^{59} +(-5.95819 + 5.95819i) q^{60} +(3.50528 - 8.46249i) q^{61} +(1.38614 + 0.574157i) q^{62} +(-0.762748 - 1.84144i) q^{63} +4.03270i q^{64} +(3.03785 - 1.25832i) q^{65} +(4.39241 + 4.39241i) q^{66} +2.29630 q^{67} +(6.36025 - 0.290124i) q^{68} -0.155357 q^{69} +(-16.6827 - 16.6827i) q^{70} +(3.71577 - 1.53912i) q^{71} -0.476268i q^{72} +(-4.87968 - 11.7806i) q^{73} +(10.3199 + 4.27465i) q^{74} +(4.29526 - 10.3697i) q^{75} +(-0.666753 + 0.666753i) q^{76} +(-5.35845 + 5.35845i) q^{77} +(-1.06144 + 2.56255i) q^{78} +(8.58594 + 3.55641i) q^{79} +(-6.28180 - 15.1656i) q^{80} +7.02689i q^{81} +(-3.43499 + 1.42282i) q^{82} +(8.95302 + 8.95302i) q^{83} +8.67103 q^{84} +(-13.0285 + 6.10626i) q^{85} +1.88260 q^{86} +(-9.41600 - 9.41600i) q^{87} +(-1.67294 + 0.692952i) q^{88} -1.64304i q^{89} +(-1.39540 - 3.36879i) q^{90} +(-3.12614 - 1.29489i) q^{91} +(-0.0587128 + 0.141745i) q^{92} +(0.881160 - 0.881160i) q^{93} +(-14.1431 + 14.1431i) q^{94} +(0.815473 - 1.96873i) q^{95} +(10.3135 + 4.27200i) q^{96} +(5.20378 + 12.5630i) q^{97} +11.1003i q^{98} +(-1.08205 + 0.448199i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q + 4q^{2} + 4q^{3} + 8q^{5} - 12q^{6} + 4q^{7} - 4q^{8} + 8q^{9} + O(q^{10}) \) \( 128q + 4q^{2} + 4q^{3} + 8q^{5} - 12q^{6} + 4q^{7} - 4q^{8} + 8q^{9} - 8q^{10} - 4q^{11} + 12q^{12} + 12q^{14} - 12q^{15} - 144q^{16} - 12q^{17} + 64q^{18} - 28q^{19} - 8q^{20} - 12q^{22} + 16q^{23} - 16q^{24} - 20q^{25} + 16q^{26} - 8q^{27} + 20q^{28} + 12q^{31} - 4q^{32} - 104q^{33} + 20q^{34} + 32q^{35} - 96q^{36} - 12q^{37} + 8q^{39} + 216q^{40} + 24q^{41} - 4q^{42} + 24q^{44} - 28q^{45} - 48q^{46} + 28q^{48} - 80q^{50} - 20q^{51} + 56q^{52} - 36q^{53} - 12q^{54} - 8q^{56} + 72q^{57} - 32q^{58} + 48q^{59} - 40q^{60} - 76q^{61} - 44q^{62} + 36q^{65} - 68q^{66} - 48q^{67} + 32q^{68} + 216q^{69} - 196q^{70} + 4q^{71} + 20q^{73} + 88q^{74} + 80q^{75} + 72q^{76} + 28q^{77} - 120q^{78} + 68q^{79} - 68q^{80} + 28q^{82} - 36q^{83} - 152q^{84} + 28q^{85} - 24q^{86} - 56q^{87} + 20q^{88} - 112q^{90} + 96q^{91} - 28q^{92} + 24q^{93} - 36q^{94} - 108q^{95} + 272q^{96} + 8q^{97} - 20q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(e\left(\frac{7}{8}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.33120 1.33120i −0.941301 0.941301i 0.0570692 0.998370i \(-0.481824\pi\)
−0.998370 + 0.0570692i \(0.981824\pi\)
\(3\) −1.44462 + 0.598380i −0.834050 + 0.345475i −0.758505 0.651667i \(-0.774070\pi\)
−0.0755455 + 0.997142i \(0.524070\pi\)
\(4\) 1.54419i 0.772095i
\(5\) −1.33546 3.22408i −0.597235 1.44185i −0.876388 0.481606i \(-0.840054\pi\)
0.279153 0.960247i \(-0.409946\pi\)
\(6\) 2.71964 + 1.12651i 1.11029 + 0.459897i
\(7\) −1.37427 + 3.31778i −0.519425 + 1.25400i 0.418832 + 0.908064i \(0.362440\pi\)
−0.938257 + 0.345939i \(0.887560\pi\)
\(8\) −0.606774 + 0.606774i −0.214527 + 0.214527i
\(9\) −0.392459 + 0.392459i −0.130820 + 0.130820i
\(10\) −2.51414 + 6.06966i −0.795040 + 1.91940i
\(11\) 1.94956 + 0.807535i 0.587815 + 0.243481i 0.656710 0.754143i \(-0.271947\pi\)
−0.0688952 + 0.997624i \(0.521947\pi\)
\(12\) −0.924013 2.23076i −0.266740 0.643966i
\(13\) 0.942238i 0.261330i 0.991427 + 0.130665i \(0.0417112\pi\)
−0.991427 + 0.130665i \(0.958289\pi\)
\(14\) 6.24606 2.58720i 1.66933 0.691459i
\(15\) 3.85845 + 3.85845i 0.996248 + 0.996248i
\(16\) 4.70386 1.17596
\(17\) −0.187881 4.11882i −0.0455678 0.998961i
\(18\) 1.04488 0.246281
\(19\) 0.431782 + 0.431782i 0.0990576 + 0.0990576i 0.754899 0.655841i \(-0.227686\pi\)
−0.655841 + 0.754899i \(0.727686\pi\)
\(20\) 4.97859 2.06220i 1.11325 0.461122i
\(21\) 5.61526i 1.22535i
\(22\) −1.52027 3.67025i −0.324122 0.782500i
\(23\) 0.0917926 + 0.0380217i 0.0191401 + 0.00792808i 0.392233 0.919866i \(-0.371703\pi\)
−0.373093 + 0.927794i \(0.621703\pi\)
\(24\) 0.513475 1.23964i 0.104813 0.253040i
\(25\) −5.07571 + 5.07571i −1.01514 + 1.01514i
\(26\) 1.25431 1.25431i 0.245990 0.245990i
\(27\) 2.12725 5.13565i 0.409390 0.988356i
\(28\) −5.12328 2.12213i −0.968209 0.401045i
\(29\) 3.25900 + 7.86791i 0.605180 + 1.46103i 0.868185 + 0.496240i \(0.165286\pi\)
−0.263005 + 0.964794i \(0.584714\pi\)
\(30\) 10.2727i 1.87554i
\(31\) −0.736288 + 0.304980i −0.132241 + 0.0547761i −0.447823 0.894122i \(-0.647800\pi\)
0.315582 + 0.948898i \(0.397800\pi\)
\(32\) −5.04823 5.04823i −0.892409 0.892409i
\(33\) −3.29959 −0.574384
\(34\) −5.23287 + 5.73309i −0.897430 + 0.983216i
\(35\) 12.5321 2.11831
\(36\) −0.606031 0.606031i −0.101005 0.101005i
\(37\) −5.48173 + 2.27061i −0.901191 + 0.373286i −0.784678 0.619904i \(-0.787172\pi\)
−0.116513 + 0.993189i \(0.537172\pi\)
\(38\) 1.14958i 0.186486i
\(39\) −0.563817 1.36117i −0.0902829 0.217962i
\(40\) 2.76661 + 1.14597i 0.437439 + 0.181193i
\(41\) 0.755773 1.82460i 0.118032 0.284954i −0.853811 0.520583i \(-0.825715\pi\)
0.971843 + 0.235628i \(0.0757148\pi\)
\(42\) −7.47503 + 7.47503i −1.15342 + 1.15342i
\(43\) −0.707107 + 0.707107i −0.107833 + 0.107833i
\(44\) −1.24699 + 3.01050i −0.187991 + 0.453849i
\(45\) 1.78943 + 0.741207i 0.266753 + 0.110493i
\(46\) −0.0715798 0.172809i −0.0105539 0.0254793i
\(47\) 10.6243i 1.54972i −0.632133 0.774860i \(-0.717820\pi\)
0.632133 0.774860i \(-0.282180\pi\)
\(48\) −6.79527 + 2.81469i −0.980813 + 0.406266i
\(49\) −4.16929 4.16929i −0.595613 0.595613i
\(50\) 13.5136 1.91111
\(51\) 2.73604 + 5.83770i 0.383122 + 0.817441i
\(52\) −1.45499 −0.201771
\(53\) −4.84142 4.84142i −0.665020 0.665020i 0.291539 0.956559i \(-0.405833\pi\)
−0.956559 + 0.291539i \(0.905833\pi\)
\(54\) −9.66838 + 4.00477i −1.31570 + 0.544981i
\(55\) 7.36398i 0.992958i
\(56\) −1.17927 2.84701i −0.157587 0.380448i
\(57\) −0.882130 0.365390i −0.116841 0.0483971i
\(58\) 6.13539 14.8121i 0.805616 1.94493i
\(59\) 5.94525 5.94525i 0.774006 0.774006i −0.204798 0.978804i \(-0.565654\pi\)
0.978804 + 0.204798i \(0.0656538\pi\)
\(60\) −5.95819 + 5.95819i −0.769198 + 0.769198i
\(61\) 3.50528 8.46249i 0.448805 1.08351i −0.523965 0.851740i \(-0.675548\pi\)
0.972770 0.231771i \(-0.0744522\pi\)
\(62\) 1.38614 + 0.574157i 0.176040 + 0.0729180i
\(63\) −0.762748 1.84144i −0.0960972 0.231999i
\(64\) 4.03270i 0.504087i
\(65\) 3.03785 1.25832i 0.376799 0.156075i
\(66\) 4.39241 + 4.39241i 0.540668 + 0.540668i
\(67\) 2.29630 0.280538 0.140269 0.990113i \(-0.455203\pi\)
0.140269 + 0.990113i \(0.455203\pi\)
\(68\) 6.36025 0.290124i 0.771293 0.0351827i
\(69\) −0.155357 −0.0187027
\(70\) −16.6827 16.6827i −1.99396 1.99396i
\(71\) 3.71577 1.53912i 0.440981 0.182660i −0.151135 0.988513i \(-0.548293\pi\)
0.592116 + 0.805853i \(0.298293\pi\)
\(72\) 0.476268i 0.0561287i
\(73\) −4.87968 11.7806i −0.571124 1.37881i −0.900599 0.434650i \(-0.856872\pi\)
0.329476 0.944164i \(-0.393128\pi\)
\(74\) 10.3199 + 4.27465i 1.19967 + 0.496918i
\(75\) 4.29526 10.3697i 0.495974 1.19739i
\(76\) −0.666753 + 0.666753i −0.0764819 + 0.0764819i
\(77\) −5.35845 + 5.35845i −0.610652 + 0.610652i
\(78\) −1.06144 + 2.56255i −0.120185 + 0.290151i
\(79\) 8.58594 + 3.55641i 0.965994 + 0.400128i 0.809219 0.587507i \(-0.199890\pi\)
0.156775 + 0.987634i \(0.449890\pi\)
\(80\) −6.28180 15.1656i −0.702327 1.69557i
\(81\) 7.02689i 0.780765i
\(82\) −3.43499 + 1.42282i −0.379331 + 0.157124i
\(83\) 8.95302 + 8.95302i 0.982722 + 0.982722i 0.999853 0.0171315i \(-0.00545340\pi\)
−0.0171315 + 0.999853i \(0.505453\pi\)
\(84\) 8.67103 0.946087
\(85\) −13.0285 + 6.10626i −1.41314 + 0.662317i
\(86\) 1.88260 0.203006
\(87\) −9.41600 9.41600i −1.00950 1.00950i
\(88\) −1.67294 + 0.692952i −0.178335 + 0.0738690i
\(89\) 1.64304i 0.174162i −0.996201 0.0870812i \(-0.972246\pi\)
0.996201 0.0870812i \(-0.0277539\pi\)
\(90\) −1.39540 3.36879i −0.147088 0.355101i
\(91\) −3.12614 1.29489i −0.327708 0.135741i
\(92\) −0.0587128 + 0.141745i −0.00612123 + 0.0147780i
\(93\) 0.881160 0.881160i 0.0913720 0.0913720i
\(94\) −14.1431 + 14.1431i −1.45875 + 1.45875i
\(95\) 0.815473 1.96873i 0.0836658 0.201987i
\(96\) 10.3135 + 4.27200i 1.05262 + 0.436009i
\(97\) 5.20378 + 12.5630i 0.528363 + 1.27558i 0.932595 + 0.360925i \(0.117539\pi\)
−0.404231 + 0.914657i \(0.632461\pi\)
\(98\) 11.1003i 1.12130i
\(99\) −1.08205 + 0.448199i −0.108750 + 0.0450457i
\(100\) −7.83787 7.83787i −0.783787 0.783787i
\(101\) 9.35458 0.930816 0.465408 0.885096i \(-0.345908\pi\)
0.465408 + 0.885096i \(0.345908\pi\)
\(102\) 4.12893 11.4134i 0.408825 1.13009i
\(103\) 13.9012 1.36972 0.684861 0.728673i \(-0.259863\pi\)
0.684861 + 0.728673i \(0.259863\pi\)
\(104\) −0.571725 0.571725i −0.0560623 0.0560623i
\(105\) −18.1040 + 7.49894i −1.76677 + 0.731822i
\(106\) 12.8898i 1.25197i
\(107\) −4.35164 10.5058i −0.420689 1.01563i −0.982145 0.188127i \(-0.939758\pi\)
0.561456 0.827507i \(-0.310242\pi\)
\(108\) 7.93042 + 3.28489i 0.763105 + 0.316088i
\(109\) −3.80505 + 9.18621i −0.364458 + 0.879879i 0.630179 + 0.776450i \(0.282982\pi\)
−0.994637 + 0.103429i \(0.967018\pi\)
\(110\) −9.80293 + 9.80293i −0.934673 + 0.934673i
\(111\) 6.56032 6.56032i 0.622678 0.622678i
\(112\) −6.46436 + 15.6064i −0.610825 + 1.47466i
\(113\) 10.4058 + 4.31020i 0.978891 + 0.405470i 0.814015 0.580845i \(-0.197278\pi\)
0.164876 + 0.986314i \(0.447278\pi\)
\(114\) 0.687884 + 1.66070i 0.0644262 + 0.155539i
\(115\) 0.346723i 0.0323321i
\(116\) −12.1496 + 5.03251i −1.12806 + 0.467257i
\(117\) −0.369790 0.369790i −0.0341871 0.0341871i
\(118\) −15.8286 −1.45715
\(119\) 13.9235 + 5.03702i 1.27637 + 0.461743i
\(120\) −4.68242 −0.427444
\(121\) −4.62949 4.62949i −0.420863 0.420863i
\(122\) −15.9315 + 6.59905i −1.44237 + 0.597449i
\(123\) 3.08809i 0.278443i
\(124\) −0.470948 1.13697i −0.0422924 0.102103i
\(125\) 7.02252 + 2.90882i 0.628113 + 0.260173i
\(126\) −1.43595 + 3.46669i −0.127925 + 0.308837i
\(127\) 15.3816 15.3816i 1.36490 1.36490i 0.497350 0.867550i \(-0.334306\pi\)
0.867550 0.497350i \(-0.165694\pi\)
\(128\) −4.72813 + 4.72813i −0.417911 + 0.417911i
\(129\) 0.598380 1.44462i 0.0526844 0.127191i
\(130\) −5.71906 2.36891i −0.501595 0.207768i
\(131\) 6.31122 + 15.2366i 0.551414 + 1.33123i 0.916417 + 0.400225i \(0.131068\pi\)
−0.365003 + 0.931007i \(0.618932\pi\)
\(132\) 5.09519i 0.443479i
\(133\) −2.02594 + 0.839172i −0.175671 + 0.0727655i
\(134\) −3.05684 3.05684i −0.264071 0.264071i
\(135\) −19.3986 −1.66957
\(136\) 2.61320 + 2.38519i 0.224080 + 0.204529i
\(137\) −8.88517 −0.759111 −0.379555 0.925169i \(-0.623923\pi\)
−0.379555 + 0.925169i \(0.623923\pi\)
\(138\) 0.206811 + 0.206811i 0.0176049 + 0.0176049i
\(139\) 3.60253 1.49222i 0.305563 0.126568i −0.224633 0.974443i \(-0.572118\pi\)
0.530196 + 0.847875i \(0.322118\pi\)
\(140\) 19.3519i 1.63553i
\(141\) 6.35740 + 15.3481i 0.535389 + 1.29254i
\(142\) −6.99532 2.89756i −0.587034 0.243158i
\(143\) −0.760890 + 1.83695i −0.0636288 + 0.153614i
\(144\) −1.84607 + 1.84607i −0.153839 + 0.153839i
\(145\) 21.0145 21.0145i 1.74516 1.74516i
\(146\) −9.18650 + 22.1782i −0.760280 + 1.83548i
\(147\) 8.51786 + 3.52821i 0.702541 + 0.291002i
\(148\) −3.50625 8.46484i −0.288212 0.695805i
\(149\) 11.9799i 0.981435i −0.871319 0.490718i \(-0.836735\pi\)
0.871319 0.490718i \(-0.163265\pi\)
\(150\) −19.5220 + 8.08627i −1.59396 + 0.660241i
\(151\) −11.7574 11.7574i −0.956801 0.956801i 0.0423035 0.999105i \(-0.486530\pi\)
−0.999105 + 0.0423035i \(0.986530\pi\)
\(152\) −0.523988 −0.0425010
\(153\) 1.69020 + 1.54273i 0.136645 + 0.124723i
\(154\) 14.2663 1.14961
\(155\) 1.96656 + 1.96656i 0.157958 + 0.157958i
\(156\) 2.10191 0.870640i 0.168288 0.0697070i
\(157\) 3.77796i 0.301514i 0.988571 + 0.150757i \(0.0481711\pi\)
−0.988571 + 0.150757i \(0.951829\pi\)
\(158\) −6.69531 16.1639i −0.532651 1.28593i
\(159\) 9.89100 + 4.09699i 0.784408 + 0.324912i
\(160\) −9.53420 + 23.0176i −0.753745 + 1.81970i
\(161\) −0.252295 + 0.252295i −0.0198837 + 0.0198837i
\(162\) 9.35420 9.35420i 0.734935 0.734935i
\(163\) −1.39524 + 3.36840i −0.109283 + 0.263833i −0.969055 0.246846i \(-0.920606\pi\)
0.859771 + 0.510679i \(0.170606\pi\)
\(164\) 2.81753 + 1.16706i 0.220012 + 0.0911319i
\(165\) 4.40646 + 10.6381i 0.343042 + 0.828177i
\(166\) 23.8365i 1.85007i
\(167\) 0.786743 0.325880i 0.0608800 0.0252173i −0.352036 0.935987i \(-0.614510\pi\)
0.412916 + 0.910769i \(0.364510\pi\)
\(168\) 3.40719 + 3.40719i 0.262871 + 0.262871i
\(169\) 12.1122 0.931707
\(170\) 25.4722 + 9.21491i 1.95363 + 0.706751i
\(171\) −0.338913 −0.0259174
\(172\) −1.09191 1.09191i −0.0832572 0.0832572i
\(173\) 7.29221 3.02053i 0.554417 0.229647i −0.0878427 0.996134i \(-0.527997\pi\)
0.642259 + 0.766488i \(0.277997\pi\)
\(174\) 25.0692i 1.90049i
\(175\) −9.86470 23.8155i −0.745701 1.80028i
\(176\) 9.17046 + 3.79853i 0.691250 + 0.286325i
\(177\) −5.03110 + 12.1461i −0.378160 + 0.912960i
\(178\) −2.18722 + 2.18722i −0.163939 + 0.163939i
\(179\) 7.90822 7.90822i 0.591088 0.591088i −0.346837 0.937925i \(-0.612744\pi\)
0.937925 + 0.346837i \(0.112744\pi\)
\(180\) −1.14456 + 2.76322i −0.0853108 + 0.205959i
\(181\) 4.92100 + 2.03834i 0.365775 + 0.151509i 0.557998 0.829842i \(-0.311570\pi\)
−0.192223 + 0.981351i \(0.561570\pi\)
\(182\) 2.43776 + 5.88527i 0.180699 + 0.436245i
\(183\) 14.3226i 1.05875i
\(184\) −0.0787679 + 0.0326267i −0.00580685 + 0.00240528i
\(185\) 14.6412 + 14.6412i 1.07645 + 1.07645i
\(186\) −2.34600 −0.172017
\(187\) 2.95981 8.18162i 0.216443 0.598299i
\(188\) 16.4060 1.19653
\(189\) 14.1155 + 14.1155i 1.02675 + 1.02675i
\(190\) −3.70633 + 1.53521i −0.268885 + 0.111376i
\(191\) 19.0199i 1.37623i 0.725600 + 0.688117i \(0.241562\pi\)
−0.725600 + 0.688117i \(0.758438\pi\)
\(192\) −2.41309 5.82571i −0.174150 0.420434i
\(193\) 18.4375 + 7.63706i 1.32716 + 0.549727i 0.929844 0.367955i \(-0.119942\pi\)
0.397316 + 0.917682i \(0.369942\pi\)
\(194\) 9.79664 23.6512i 0.703358 1.69806i
\(195\) −3.63558 + 3.63558i −0.260349 + 0.260349i
\(196\) 6.43818 6.43818i 0.459870 0.459870i
\(197\) −2.26905 + 5.47796i −0.161663 + 0.390289i −0.983866 0.178905i \(-0.942745\pi\)
0.822204 + 0.569194i \(0.192745\pi\)
\(198\) 2.03707 + 0.843780i 0.144768 + 0.0599648i
\(199\) −6.29360 15.1941i −0.446141 1.07708i −0.973756 0.227597i \(-0.926913\pi\)
0.527614 0.849484i \(-0.323087\pi\)
\(200\) 6.15962i 0.435551i
\(201\) −3.31728 + 1.37406i −0.233983 + 0.0969188i
\(202\) −12.4528 12.4528i −0.876178 0.876178i
\(203\) −30.5827 −2.14649
\(204\) −9.01452 + 4.22496i −0.631143 + 0.295807i
\(205\) −6.89195 −0.481355
\(206\) −18.5052 18.5052i −1.28932 1.28932i
\(207\) −0.0509468 + 0.0211028i −0.00354105 + 0.00146675i
\(208\) 4.43215i 0.307314i
\(209\) 0.493107 + 1.19046i 0.0341089 + 0.0823462i
\(210\) 34.0827 + 14.1175i 2.35193 + 0.974201i
\(211\) −3.94246 + 9.51793i −0.271410 + 0.655241i −0.999544 0.0301933i \(-0.990388\pi\)
0.728134 + 0.685435i \(0.240388\pi\)
\(212\) 7.47607 7.47607i 0.513459 0.513459i
\(213\) −4.44689 + 4.44689i −0.304696 + 0.304696i
\(214\) −8.19241 + 19.7782i −0.560022 + 1.35201i
\(215\) 3.22408 + 1.33546i 0.219880 + 0.0910775i
\(216\) 1.82541 + 4.40694i 0.124204 + 0.299854i
\(217\) 2.86197i 0.194283i
\(218\) 17.2940 7.16340i 1.17130 0.485167i
\(219\) 14.0986 + 14.0986i 0.952692 + 0.952692i
\(220\) 11.3714 0.766658
\(221\) 3.88091 0.177028i 0.261058 0.0119082i
\(222\) −17.4662 −1.17225
\(223\) 10.5425 + 10.5425i 0.705980 + 0.705980i 0.965687 0.259707i \(-0.0836261\pi\)
−0.259707 + 0.965687i \(0.583626\pi\)
\(224\) 23.6865 9.81128i 1.58262 0.655544i
\(225\) 3.98402i 0.265601i
\(226\) −8.11440 19.5899i −0.539762 1.30310i
\(227\) 0.922622 + 0.382163i 0.0612366 + 0.0253650i 0.413092 0.910690i \(-0.364449\pi\)
−0.351855 + 0.936055i \(0.614449\pi\)
\(228\) 0.564232 1.36218i 0.0373672 0.0902123i
\(229\) −1.70595 + 1.70595i −0.112733 + 0.112733i −0.761223 0.648490i \(-0.775401\pi\)
0.648490 + 0.761223i \(0.275401\pi\)
\(230\) −0.461558 + 0.461558i −0.0304342 + 0.0304342i
\(231\) 4.53452 10.9473i 0.298349 0.720279i
\(232\) −6.75152 2.79657i −0.443259 0.183604i
\(233\) 6.26060 + 15.1144i 0.410146 + 0.990179i 0.985098 + 0.171992i \(0.0550205\pi\)
−0.574953 + 0.818187i \(0.694980\pi\)
\(234\) 0.984529i 0.0643607i
\(235\) −34.2537 + 14.1884i −2.23447 + 0.925547i
\(236\) 9.18060 + 9.18060i 0.597606 + 0.597606i
\(237\) −14.5315 −0.943922
\(238\) −11.8297 25.2403i −0.766808 1.63609i
\(239\) 9.29066 0.600963 0.300481 0.953788i \(-0.402853\pi\)
0.300481 + 0.953788i \(0.402853\pi\)
\(240\) 18.1496 + 18.1496i 1.17155 + 1.17155i
\(241\) 17.1855 7.11847i 1.10702 0.458541i 0.247106 0.968988i \(-0.420520\pi\)
0.859909 + 0.510448i \(0.170520\pi\)
\(242\) 12.3256i 0.792318i
\(243\) 2.17701 + 5.25577i 0.139655 + 0.337158i
\(244\) 13.0677 + 5.41282i 0.836574 + 0.346520i
\(245\) −7.87422 + 19.0101i −0.503066 + 1.21451i
\(246\) 4.11086 4.11086i 0.262099 0.262099i
\(247\) −0.406841 + 0.406841i −0.0258867 + 0.0258867i
\(248\) 0.261706 0.631814i 0.0166184 0.0401203i
\(249\) −18.2910 7.57638i −1.15915 0.480134i
\(250\) −5.47615 13.2206i −0.346342 0.836144i
\(251\) 2.05272i 0.129566i −0.997899 0.0647832i \(-0.979364\pi\)
0.997899 0.0647832i \(-0.0206356\pi\)
\(252\) 2.84353 1.17783i 0.179125 0.0741962i
\(253\) 0.148251 + 0.148251i 0.00932049 + 0.00932049i
\(254\) −40.9521 −2.56956
\(255\) 15.1674 16.6172i 0.949816 1.04061i
\(256\) 20.6536 1.29085
\(257\) −20.8110 20.8110i −1.29815 1.29815i −0.929610 0.368544i \(-0.879857\pi\)
−0.368544 0.929610i \(-0.620143\pi\)
\(258\) −2.71964 + 1.12651i −0.169317 + 0.0701336i
\(259\) 21.3076i 1.32399i
\(260\) 1.94308 + 4.69102i 0.120505 + 0.290925i
\(261\) −4.36685 1.80881i −0.270302 0.111963i
\(262\) 11.8815 28.6845i 0.734043 1.77214i
\(263\) 16.8402 16.8402i 1.03841 1.03841i 0.0391787 0.999232i \(-0.487526\pi\)
0.999232 0.0391787i \(-0.0124741\pi\)
\(264\) 2.00210 2.00210i 0.123221 0.123221i
\(265\) −9.14361 + 22.0746i −0.561687 + 1.35603i
\(266\) 3.81404 + 1.57983i 0.233854 + 0.0968654i
\(267\) 0.983165 + 2.37357i 0.0601687 + 0.145260i
\(268\) 3.54593i 0.216602i
\(269\) −4.29691 + 1.77984i −0.261987 + 0.108519i −0.509811 0.860287i \(-0.670285\pi\)
0.247824 + 0.968805i \(0.420285\pi\)
\(270\) 25.8234 + 25.8234i 1.57156 + 1.57156i
\(271\) 17.0338 1.03473 0.517364 0.855765i \(-0.326913\pi\)
0.517364 + 0.855765i \(0.326913\pi\)
\(272\) −0.883765 19.3744i −0.0535861 1.17474i
\(273\) 5.29091 0.320220
\(274\) 11.8279 + 11.8279i 0.714552 + 0.714552i
\(275\) −13.9942 + 5.79660i −0.843885 + 0.349548i
\(276\) 0.239900i 0.0144403i
\(277\) 4.17782 + 10.0861i 0.251021 + 0.606018i 0.998287 0.0585072i \(-0.0186340\pi\)
−0.747266 + 0.664525i \(0.768634\pi\)
\(278\) −6.78213 2.80925i −0.406765 0.168488i
\(279\) 0.169270 0.408655i 0.0101340 0.0244655i
\(280\) −7.60413 + 7.60413i −0.454434 + 0.454434i
\(281\) 20.9704 20.9704i 1.25099 1.25099i 0.295714 0.955276i \(-0.404442\pi\)
0.955276 0.295714i \(-0.0955577\pi\)
\(282\) 11.9684 28.8944i 0.712711 1.72064i
\(283\) −10.5496 4.36978i −0.627107 0.259756i 0.0464162 0.998922i \(-0.485220\pi\)
−0.673523 + 0.739166i \(0.735220\pi\)
\(284\) 2.37670 + 5.73786i 0.141031 + 0.340479i
\(285\) 3.33202i 0.197372i
\(286\) 3.45825 1.43245i 0.204491 0.0847028i
\(287\) 5.01498 + 5.01498i 0.296025 + 0.296025i
\(288\) 3.96245 0.233489
\(289\) −16.9294 + 1.54770i −0.995847 + 0.0910409i
\(290\) −55.9491 −3.28544
\(291\) −15.0349 15.0349i −0.881363 0.881363i
\(292\) 18.1915 7.53516i 1.06458 0.440962i
\(293\) 26.2989i 1.53640i 0.640211 + 0.768199i \(0.278847\pi\)
−0.640211 + 0.768199i \(0.721153\pi\)
\(294\) −6.64222 16.0357i −0.387382 0.935223i
\(295\) −27.1076 11.2283i −1.57827 0.653739i
\(296\) 1.94843 4.70392i 0.113250 0.273410i
\(297\) 8.29443 8.29443i 0.481292 0.481292i
\(298\) −15.9477 + 15.9477i −0.923826 + 0.923826i
\(299\) −0.0358255 + 0.0864904i −0.00207184 + 0.00500187i
\(300\) 16.0128 + 6.63270i 0.924497 + 0.382939i
\(301\) −1.37427 3.31778i −0.0792115 0.191234i
\(302\) 31.3028i 1.80128i
\(303\) −13.5138 + 5.59760i −0.776347 + 0.321574i
\(304\) 2.03104 + 2.03104i 0.116488 + 0.116488i
\(305\) −31.9649 −1.83031
\(306\) −0.196314 4.30369i −0.0112225 0.246026i
\(307\) −18.7902 −1.07241 −0.536205 0.844088i \(-0.680143\pi\)
−0.536205 + 0.844088i \(0.680143\pi\)
\(308\) −8.27446 8.27446i −0.471481 0.471481i
\(309\) −20.0819 + 8.31818i −1.14242 + 0.473205i
\(310\) 5.23578i 0.297372i
\(311\) −6.52993 15.7646i −0.370278 0.893931i −0.993703 0.112047i \(-0.964259\pi\)
0.623425 0.781884i \(-0.285741\pi\)
\(312\) 1.16803 + 0.483815i 0.0661269 + 0.0273907i
\(313\) −2.52809 + 6.10334i −0.142896 + 0.344981i −0.979082 0.203464i \(-0.934780\pi\)
0.836187 + 0.548445i \(0.184780\pi\)
\(314\) 5.02922 5.02922i 0.283815 0.283815i
\(315\) −4.91832 + 4.91832i −0.277116 + 0.277116i
\(316\) −5.49178 + 13.2583i −0.308937 + 0.745839i
\(317\) −21.2189 8.78916i −1.19177 0.493649i −0.303441 0.952850i \(-0.598136\pi\)
−0.888332 + 0.459202i \(0.848136\pi\)
\(318\) −7.71300 18.6208i −0.432523 1.04420i
\(319\) 17.9707i 1.00617i
\(320\) 13.0017 5.38550i 0.726820 0.301059i
\(321\) 12.5729 + 12.5729i 0.701752 + 0.701752i
\(322\) 0.671711 0.0374330
\(323\) 1.69731 1.85956i 0.0944408 0.103468i
\(324\) −10.8509 −0.602825
\(325\) −4.78253 4.78253i −0.265287 0.265287i
\(326\) 6.34135 2.62667i 0.351215 0.145478i
\(327\) 15.5474i 0.859775i
\(328\) 0.648535 + 1.56570i 0.0358093 + 0.0864514i
\(329\) 35.2492 + 14.6007i 1.94335 + 0.804963i
\(330\) 8.29561 20.0274i 0.456658 1.10247i
\(331\) 4.31444 4.31444i 0.237143 0.237143i −0.578523 0.815666i \(-0.696371\pi\)
0.815666 + 0.578523i \(0.196371\pi\)
\(332\) −13.8252 + 13.8252i −0.758755 + 0.758755i
\(333\) 1.26023 3.04248i 0.0690604 0.166727i
\(334\) −1.48112 0.613501i −0.0810435 0.0335693i
\(335\) −3.06661 7.40346i −0.167547 0.404494i
\(336\) 26.4134i 1.44097i
\(337\) 0.406671 0.168449i 0.0221528 0.00917598i −0.371580 0.928401i \(-0.621184\pi\)
0.393732 + 0.919225i \(0.371184\pi\)
\(338\) −16.1238 16.1238i −0.877017 0.877017i
\(339\) −17.6115 −0.956524
\(340\) −9.42922 20.1185i −0.511372 1.09108i
\(341\) −1.68172 −0.0910703
\(342\) 0.451162 + 0.451162i 0.0243960 + 0.0243960i
\(343\) −3.66193 + 1.51682i −0.197725 + 0.0819006i
\(344\) 0.858108i 0.0462661i
\(345\) 0.207472 + 0.500882i 0.0111699 + 0.0269666i
\(346\) −13.7283 5.68646i −0.738040 0.305706i
\(347\) 6.59584 15.9238i 0.354083 0.854833i −0.642024 0.766684i \(-0.721905\pi\)
0.996107 0.0881481i \(-0.0280949\pi\)
\(348\) 14.5401 14.5401i 0.779431 0.779431i
\(349\) 15.6452 15.6452i 0.837471 0.837471i −0.151055 0.988525i \(-0.548267\pi\)
0.988525 + 0.151055i \(0.0482669\pi\)
\(350\) −18.5713 + 44.8351i −0.992678 + 2.39654i
\(351\) 4.83900 + 2.00438i 0.258287 + 0.106986i
\(352\) −5.76522 13.9185i −0.307287 0.741856i
\(353\) 7.19612i 0.383011i −0.981492 0.191505i \(-0.938663\pi\)
0.981492 0.191505i \(-0.0613369\pi\)
\(354\) 22.8663 9.47155i 1.21533 0.503407i
\(355\) −9.92452 9.92452i −0.526739 0.526739i
\(356\) 2.53717 0.134470
\(357\) −23.1282 + 1.05500i −1.22408 + 0.0558365i
\(358\) −21.0549 −1.11278
\(359\) −8.60248 8.60248i −0.454022 0.454022i 0.442665 0.896687i \(-0.354033\pi\)
−0.896687 + 0.442665i \(0.854033\pi\)
\(360\) −1.53553 + 0.636036i −0.0809293 + 0.0335220i
\(361\) 18.6271i 0.980375i
\(362\) −3.83739 9.26428i −0.201689 0.486920i
\(363\) 9.45805 + 3.91765i 0.496419 + 0.205623i
\(364\) 1.99955 4.82735i 0.104805 0.253022i
\(365\) −31.4650 + 31.4650i −1.64695 + 1.64695i
\(366\) 19.0662 19.0662i 0.996606 0.996606i
\(367\) −6.57226 + 15.8668i −0.343069 + 0.828243i 0.654333 + 0.756207i \(0.272950\pi\)
−0.997402 + 0.0720358i \(0.977050\pi\)
\(368\) 0.431779 + 0.178849i 0.0225080 + 0.00932313i
\(369\) 0.419470 + 1.01269i 0.0218367 + 0.0527185i
\(370\) 38.9809i 2.02652i
\(371\) 22.7162 9.40934i 1.17936 0.488509i
\(372\) 1.36068 + 1.36068i 0.0705479 + 0.0705479i
\(373\) −2.51977 −0.130469 −0.0652344 0.997870i \(-0.520780\pi\)
−0.0652344 + 0.997870i \(0.520780\pi\)
\(374\) −14.8315 + 6.95128i −0.766918 + 0.359442i
\(375\) −11.8854 −0.613761
\(376\) 6.44657 + 6.44657i 0.332457 + 0.332457i
\(377\) −7.41344 + 3.07075i −0.381812 + 0.158152i
\(378\) 37.5812i 1.93297i
\(379\) 5.59395 + 13.5050i 0.287342 + 0.693704i 0.999969 0.00783833i \(-0.00249504\pi\)
−0.712628 + 0.701543i \(0.752495\pi\)
\(380\) 3.04009 + 1.25925i 0.155953 + 0.0645979i
\(381\) −13.0165 + 31.4247i −0.666857 + 1.60993i
\(382\) 25.3194 25.3194i 1.29545 1.29545i
\(383\) −10.9310 + 10.9310i −0.558546 + 0.558546i −0.928893 0.370347i \(-0.879239\pi\)
0.370347 + 0.928893i \(0.379239\pi\)
\(384\) 4.00112 9.65955i 0.204181 0.492937i
\(385\) 24.4320 + 10.1201i 1.24517 + 0.515767i
\(386\) −14.3775 34.7105i −0.731798 1.76672i
\(387\) 0.555021i 0.0282133i
\(388\) −19.3997 + 8.03562i −0.984871 + 0.407947i
\(389\) −25.0516 25.0516i −1.27017 1.27017i −0.946001 0.324164i \(-0.894917\pi\)
−0.324164 0.946001i \(-0.605083\pi\)
\(390\) 9.67937 0.490134
\(391\) 0.139359 0.385221i 0.00704767 0.0194815i
\(392\) 5.05964 0.255550
\(393\) −18.2346 18.2346i −0.919815 0.919815i
\(394\) 10.3128 4.27171i 0.519552 0.215206i
\(395\) 32.4312i 1.63179i
\(396\) −0.692104 1.67089i −0.0347796 0.0839653i
\(397\) −4.95009 2.05040i −0.248438 0.102906i 0.254990 0.966944i \(-0.417928\pi\)
−0.503428 + 0.864037i \(0.667928\pi\)
\(398\) −11.8483 + 28.6044i −0.593904 + 1.43381i
\(399\) 2.42457 2.42457i 0.121380 0.121380i
\(400\) −23.8754 + 23.8754i −1.19377 + 1.19377i
\(401\) 5.44650 13.1490i 0.271985 0.656630i −0.727583 0.686020i \(-0.759356\pi\)
0.999568 + 0.0293896i \(0.00935636\pi\)
\(402\) 6.24511 + 2.58681i 0.311478 + 0.129018i
\(403\) −0.287364 0.693758i −0.0143146 0.0345586i
\(404\) 14.4453i 0.718678i
\(405\) 22.6553 9.38412i 1.12575 0.466300i
\(406\) 40.7117 + 40.7117i 2.02049 + 2.02049i
\(407\) −12.5206 −0.620622
\(408\) −5.20232 1.88201i −0.257553 0.0931733i
\(409\) 24.8095 1.22675 0.613374 0.789792i \(-0.289812\pi\)
0.613374 + 0.789792i \(0.289812\pi\)
\(410\) 9.17457 + 9.17457i 0.453100 + 0.453100i
\(411\) 12.8357 5.31671i 0.633137 0.262254i
\(412\) 21.4661i 1.05756i
\(413\) 11.5547 + 27.8954i 0.568567 + 1.37264i
\(414\) 0.0959125 + 0.0397283i 0.00471384 + 0.00195254i
\(415\) 16.9089 40.8216i 0.830024 2.00386i
\(416\) 4.75663 4.75663i 0.233213 0.233213i
\(417\) −4.31136 + 4.31136i −0.211128 + 0.211128i
\(418\) 0.928324 2.24117i 0.0454058 0.109619i
\(419\) 26.0215 + 10.7784i 1.27123 + 0.526561i 0.913338 0.407201i \(-0.133495\pi\)
0.357893 + 0.933763i \(0.383495\pi\)
\(420\) −11.5798 27.9561i −0.565036 1.36412i
\(421\) 35.5677i 1.73347i 0.498773 + 0.866733i \(0.333784\pi\)
−0.498773 + 0.866733i \(0.666216\pi\)
\(422\) 17.9185 7.42207i 0.872258 0.361301i
\(423\) 4.16962 + 4.16962i 0.202734 + 0.202734i
\(424\) 5.87529 0.285329
\(425\) 21.8596 + 19.9523i 1.06035 + 0.967831i
\(426\) 11.8394 0.573621
\(427\) 23.2595 + 23.2595i 1.12561 + 1.12561i
\(428\) 16.2229 6.71977i 0.784166 0.324812i
\(429\) 3.10899i 0.150104i
\(430\) −2.51414 6.06966i −0.121242 0.292705i
\(431\) 22.6485 + 9.38130i 1.09094 + 0.451881i 0.854334 0.519725i \(-0.173965\pi\)
0.236605 + 0.971606i \(0.423965\pi\)
\(432\) 10.0063 24.1573i 0.481428 1.16227i
\(433\) 4.97901 4.97901i 0.239276 0.239276i −0.577274 0.816550i \(-0.695884\pi\)
0.816550 + 0.577274i \(0.195884\pi\)
\(434\) −3.80985 + 3.80985i −0.182879 + 0.182879i
\(435\) −17.7833 + 42.9326i −0.852643 + 2.05846i
\(436\) −14.1853 5.87573i −0.679351 0.281396i
\(437\) 0.0232173 + 0.0560515i 0.00111063 + 0.00268130i
\(438\) 37.5360i 1.79354i
\(439\) −19.3759 + 8.02577i −0.924763 + 0.383049i −0.793689 0.608323i \(-0.791842\pi\)
−0.131073 + 0.991373i \(0.541842\pi\)
\(440\) 4.46827 + 4.46827i 0.213016 + 0.213016i
\(441\) 3.27255 0.155836
\(442\) −5.40193 4.93061i −0.256944 0.234525i
\(443\) 27.5384 1.30839 0.654194 0.756327i \(-0.273008\pi\)
0.654194 + 0.756327i \(0.273008\pi\)
\(444\) 10.1304 + 10.1304i 0.480767 + 0.480767i
\(445\) −5.29731 + 2.19422i −0.251116 + 0.104016i
\(446\) 28.0684i 1.32908i
\(447\) 7.16856 + 17.3064i 0.339061 + 0.818566i
\(448\) −13.3796 5.54201i −0.632127 0.261836i
\(449\) 5.20629 12.5691i 0.245700 0.593172i −0.752130 0.659015i \(-0.770973\pi\)
0.997830 + 0.0658423i \(0.0209734\pi\)
\(450\) −5.30353 + 5.30353i −0.250011 + 0.250011i
\(451\) 2.94685 2.94685i 0.138762 0.138762i
\(452\) −6.65577 + 16.0685i −0.313061 + 0.755797i
\(453\) 24.0203 + 9.94953i 1.12857 + 0.467470i
\(454\) −0.719460 1.73693i −0.0337659 0.0815182i
\(455\) 11.8082i 0.553576i
\(456\) 0.756962 0.313544i 0.0354480 0.0146830i
\(457\) 20.4246 + 20.4246i 0.955424 + 0.955424i 0.999048 0.0436238i \(-0.0138903\pi\)
−0.0436238 + 0.999048i \(0.513890\pi\)
\(458\) 4.54193 0.212230
\(459\) −21.5525 7.79689i −1.00598 0.363928i
\(460\) 0.535406 0.0249635
\(461\) −21.2636 21.2636i −0.990345 0.990345i 0.00960856 0.999954i \(-0.496941\pi\)
−0.999954 + 0.00960856i \(0.996941\pi\)
\(462\) −20.6094 + 8.53669i −0.958836 + 0.397163i
\(463\) 8.60013i 0.399682i 0.979828 + 0.199841i \(0.0640426\pi\)
−0.979828 + 0.199841i \(0.935957\pi\)
\(464\) 15.3298 + 37.0095i 0.711670 + 1.71812i
\(465\) −4.01768 1.66418i −0.186316 0.0771745i
\(466\) 11.7862 28.4545i 0.545986 1.31813i
\(467\) 4.77061 4.77061i 0.220758 0.220758i −0.588060 0.808817i \(-0.700108\pi\)
0.808817 + 0.588060i \(0.200108\pi\)
\(468\) 0.571026 0.571026i 0.0263957 0.0263957i
\(469\) −3.15574 + 7.61862i −0.145718 + 0.351795i
\(470\) 64.4862 + 26.7110i 2.97452 + 1.23209i
\(471\) −2.26066 5.45771i −0.104166 0.251478i
\(472\) 7.21485i 0.332090i
\(473\) −1.94956 + 0.807535i −0.0896410 + 0.0371305i
\(474\) 19.3443 + 19.3443i 0.888515 + 0.888515i
\(475\) −4.38320 −0.201115
\(476\) −7.77812 + 21.5006i −0.356510 + 0.985478i
\(477\) 3.80012 0.173995
\(478\) −12.3677 12.3677i −0.565687 0.565687i
\(479\) −14.6398 + 6.06402i −0.668912 + 0.277072i −0.691183 0.722680i \(-0.742910\pi\)
0.0222715 + 0.999752i \(0.492910\pi\)
\(480\) 38.9567i 1.77812i
\(481\) −2.13945 5.16510i −0.0975507 0.235508i
\(482\) −32.3535 13.4012i −1.47366 0.610410i
\(483\) 0.213502 0.515439i 0.00971467 0.0234533i
\(484\) 7.14882 7.14882i 0.324946 0.324946i
\(485\) 33.5548 33.5548i 1.52364 1.52364i
\(486\) 4.09845 9.89452i 0.185909 0.448825i
\(487\) −28.5450 11.8237i −1.29350 0.535784i −0.373470 0.927642i \(-0.621832\pi\)
−0.920026 + 0.391858i \(0.871832\pi\)
\(488\) 3.00791 + 7.26173i 0.136162 + 0.328723i
\(489\) 5.70093i 0.257805i
\(490\) 35.7884 14.8240i 1.61675 0.669681i
\(491\) −15.4434 15.4434i −0.696952 0.696952i 0.266800 0.963752i \(-0.414034\pi\)
−0.963752 + 0.266800i \(0.914034\pi\)
\(492\) −4.76859 −0.214985
\(493\) 31.7942 14.9015i 1.43194 0.671128i
\(494\) 1.08317 0.0487343
\(495\) 2.89006 + 2.89006i 0.129898 + 0.129898i
\(496\) −3.46339 + 1.43458i −0.155511 + 0.0644147i
\(497\) 14.4433i 0.647870i
\(498\) 14.2633 + 34.4347i 0.639154 + 1.54305i
\(499\) −10.1410 4.20053i −0.453972 0.188041i 0.143968 0.989582i \(-0.454014\pi\)
−0.597940 + 0.801541i \(0.704014\pi\)
\(500\) −4.49177 + 10.8441i −0.200878 + 0.484963i
\(501\) −0.941543 + 0.941543i −0.0420650 + 0.0420650i
\(502\) −2.73258 + 2.73258i −0.121961 + 0.121961i
\(503\) −13.9296 + 33.6290i −0.621089 + 1.49944i 0.229338 + 0.973347i \(0.426344\pi\)
−0.850426 + 0.526094i \(0.823656\pi\)
\(504\) 1.58015 + 0.654520i 0.0703855 + 0.0291546i
\(505\) −12.4927 30.1599i −0.555916 1.34210i
\(506\) 0.394705i 0.0175468i
\(507\) −17.4975 + 7.24769i −0.777090 + 0.321881i
\(508\) 23.7522 + 23.7522i 1.05383 + 1.05383i
\(509\) −35.2361 −1.56181 −0.780906 0.624649i \(-0.785242\pi\)
−0.780906 + 0.624649i \(0.785242\pi\)
\(510\) −42.3116 + 1.93005i −1.87359 + 0.0854642i
\(511\) 45.7914 2.02569
\(512\) −18.0378 18.0378i −0.797165 0.797165i
\(513\) 3.13599 1.29897i 0.138457 0.0573509i
\(514\) 55.4072i 2.44391i
\(515\) −18.5644 44.8185i −0.818046 1.97494i
\(516\) 2.23076 + 0.924013i 0.0982039 + 0.0406774i
\(517\) 8.57953 20.7128i 0.377327 0.910949i
\(518\) −28.3647 + 28.3647i −1.24627 + 1.24627i
\(519\) −8.72703 + 8.72703i −0.383074 + 0.383074i
\(520\) −1.07977 + 2.60680i −0.0473512 + 0.114316i
\(521\) 17.4488 + 7.22753i 0.764446 + 0.316644i 0.730621 0.682784i \(-0.239231\pi\)
0.0338257 + 0.999428i \(0.489231\pi\)
\(522\) 3.40527 + 8.22105i 0.149045 + 0.359826i
\(523\) 36.1048i 1.57875i −0.613909 0.789376i \(-0.710404\pi\)
0.613909 0.789376i \(-0.289596\pi\)
\(524\) −23.5283 + 9.74573i −1.02784 + 0.425744i
\(525\) 28.5014 + 28.5014i 1.24391 + 1.24391i
\(526\) −44.8354 −1.95491
\(527\) 1.39449 + 2.97534i 0.0607451 + 0.129608i
\(528\) −15.5208 −0.675455
\(529\) −16.2565 16.2565i −0.706803 0.706803i
\(530\) 41.5577 17.2138i 1.80515 0.747719i
\(531\) 4.66654i 0.202510i
\(532\) −1.29584 3.12844i −0.0561819 0.135635i
\(533\) 1.71920 + 0.712118i 0.0744670 + 0.0308453i
\(534\) 1.85091 4.46849i 0.0800966 0.193370i
\(535\) −28.0601 + 28.0601i −1.21314 + 1.21314i
\(536\) −1.39334 + 1.39334i −0.0601829 + 0.0601829i
\(537\) −6.69223 + 16.1565i −0.288791 + 0.697204i
\(538\) 8.08937 + 3.35073i 0.348757 + 0.144460i
\(539\) −4.76145 11.4951i −0.205090 0.495131i
\(540\) 29.9551i 1.28906i
\(541\) −37.1764 + 15.3990i −1.59834 + 0.662053i −0.991179 0.132528i \(-0.957691\pi\)
−0.607158 + 0.794581i \(0.707691\pi\)
\(542\) −22.6754 22.6754i −0.973990 0.973990i
\(543\) −8.32867 −0.357417
\(544\) −19.8443 + 21.7412i −0.850817 + 0.932147i
\(545\) 34.6986 1.48632
\(546\) −7.04326 7.04326i −0.301424 0.301424i
\(547\) 8.65027 3.58306i 0.369859 0.153200i −0.190009 0.981782i \(-0.560852\pi\)
0.559868 + 0.828582i \(0.310852\pi\)
\(548\) 13.7204i 0.586106i
\(549\) 1.94550 + 4.69686i 0.0830320 + 0.200457i
\(550\) 26.3456 + 10.9127i 1.12338 + 0.465319i
\(551\) −1.99005 + 4.80440i −0.0847788 + 0.204674i
\(552\) 0.0942663 0.0942663i 0.00401224 0.00401224i
\(553\) −23.5988 + 23.5988i −1.00352 + 1.00352i
\(554\) 7.86517 18.9882i 0.334159 0.806731i
\(555\) −29.9120 12.3900i −1.26970 0.525925i
\(556\) 2.30427 + 5.56299i 0.0977227 + 0.235923i
\(557\) 15.0289i 0.636795i −0.947957 0.318398i \(-0.896855\pi\)
0.947957 0.318398i \(-0.103145\pi\)
\(558\) −0.769335 + 0.318669i −0.0325685 + 0.0134903i
\(559\) −0.666263 0.666263i −0.0281799 0.0281799i
\(560\) 58.9490 2.49105
\(561\) 0.619929 + 13.5904i 0.0261734 + 0.573787i
\(562\) −55.8317 −2.35512
\(563\) −3.15480 3.15480i −0.132959 0.132959i 0.637495 0.770454i \(-0.279971\pi\)
−0.770454 + 0.637495i \(0.779971\pi\)
\(564\) −23.7004 + 9.81703i −0.997967 + 0.413372i
\(565\) 39.3051i 1.65358i
\(566\) 8.22655 + 19.8607i 0.345788 + 0.834806i
\(567\) −23.3137 9.65684i −0.979082 0.405549i
\(568\) −1.32073 + 3.18854i −0.0554168 + 0.133788i
\(569\) 5.75027 5.75027i 0.241064 0.241064i −0.576226 0.817290i \(-0.695475\pi\)
0.817290 + 0.576226i \(0.195475\pi\)
\(570\) 4.43559 4.43559i 0.185786 0.185786i
\(571\) −6.82209 + 16.4700i −0.285496 + 0.689248i −0.999946 0.0104391i \(-0.996677\pi\)
0.714450 + 0.699687i \(0.246677\pi\)
\(572\) −2.83660 1.17496i −0.118604 0.0491275i
\(573\) −11.3812 27.4765i −0.475455 1.14785i
\(574\) 13.3519i 0.557297i
\(575\) −0.658900 + 0.272925i −0.0274780 + 0.0113818i
\(576\) −1.58267 1.58267i −0.0659445 0.0659445i
\(577\) 5.68109 0.236507 0.118253 0.992983i \(-0.462270\pi\)
0.118253 + 0.992983i \(0.462270\pi\)
\(578\) 24.5967 + 20.4761i 1.02309 + 0.851695i
\(579\) −31.2050 −1.29683
\(580\) 32.4504 + 32.4504i 1.34743 + 1.34743i
\(581\) −42.0080 + 17.4003i −1.74279 + 0.721885i
\(582\) 40.0290i 1.65926i
\(583\) −5.52903 13.3483i −0.228989 0.552828i
\(584\) 10.1090 + 4.18729i 0.418314 + 0.173271i
\(585\) −0.698393 + 1.68607i −0.0288750 + 0.0697104i
\(586\) 35.0091 35.0091i 1.44621 1.44621i
\(587\) 18.7142 18.7142i 0.772417 0.772417i −0.206111 0.978529i \(-0.566081\pi\)
0.978529 + 0.206111i \(0.0660809\pi\)
\(588\) −5.44823 + 13.1532i −0.224681 + 0.542429i
\(589\) −0.449601 0.186231i −0.0185255 0.00767350i
\(590\) 21.1385 + 51.0328i 0.870258 + 2.10099i
\(591\) 9.27131i 0.381371i
\(592\) −25.7853 + 10.6806i −1.05977 + 0.438971i
\(593\) −18.0480 18.0480i −0.741143 0.741143i 0.231655 0.972798i \(-0.425586\pi\)
−0.972798 + 0.231655i \(0.925586\pi\)
\(594\) −22.0831 −0.906081
\(595\) −2.35454 51.6174i −0.0965265 2.11611i
\(596\) 18.4993 0.757761
\(597\) 18.1837 + 18.1837i 0.744209 + 0.744209i
\(598\) 0.162827 0.0674452i 0.00665849 0.00275804i
\(599\) 2.35303i 0.0961423i 0.998844 + 0.0480711i \(0.0153074\pi\)
−0.998844 + 0.0480711i \(0.984693\pi\)
\(600\) 3.68580 + 8.89830i 0.150472 + 0.363272i
\(601\) 8.85566 + 3.66813i 0.361230 + 0.149626i 0.555914 0.831240i \(-0.312368\pi\)
−0.194684 + 0.980866i \(0.562368\pi\)
\(602\) −2.58720 + 6.24606i −0.105446 + 0.254570i
\(603\) −0.901204 + 0.901204i −0.0366999 + 0.0366999i
\(604\) 18.1556 18.1556i 0.738742 0.738742i
\(605\) −8.74337 + 21.1084i −0.355468 + 0.858177i
\(606\) 25.4411 + 10.5380i 1.03347 + 0.428079i
\(607\) −8.61267 20.7928i −0.349577 0.843954i −0.996670 0.0815428i \(-0.974015\pi\)
0.647093 0.762411i \(-0.275985\pi\)
\(608\) 4.35947i 0.176800i
\(609\) 44.1803 18.3001i 1.79028 0.741557i
\(610\) 42.5517 + 42.5517i 1.72287 + 1.72287i
\(611\) 10.0107 0.404988
\(612\) −2.38227 + 2.61000i −0.0962977 + 0.105503i
\(613\) 35.0448 1.41545 0.707724 0.706489i \(-0.249722\pi\)
0.707724 + 0.706489i \(0.249722\pi\)
\(614\) 25.0135 + 25.0135i 1.00946 + 1.00946i
\(615\) 9.95624 4.12401i 0.401474 0.166296i
\(616\) 6.50273i 0.262003i
\(617\) 7.64042 + 18.4456i 0.307592 + 0.742592i 0.999782 + 0.0208771i \(0.00664587\pi\)
−0.692190 + 0.721715i \(0.743354\pi\)
\(618\) 37.8062 + 15.6598i 1.52079 + 0.629931i
\(619\) −15.0931 + 36.4381i −0.606645 + 1.46457i 0.259982 + 0.965613i \(0.416283\pi\)
−0.866627 + 0.498957i \(0.833717\pi\)
\(620\) −3.03675 + 3.03675i −0.121959 + 0.121959i
\(621\) 0.390532 0.390532i 0.0156715 0.0156715i
\(622\) −12.2933 + 29.6786i −0.492915 + 1.19000i
\(623\) 5.45126 + 2.25798i 0.218400 + 0.0904642i
\(624\) −2.65211 6.40277i −0.106169 0.256316i
\(625\) 9.36496i 0.374598i
\(626\) 11.4902 4.75938i 0.459239 0.190223i
\(627\) −1.42470 1.42470i −0.0568971 0.0568971i
\(628\) −5.83389 −0.232797
\(629\) 10.3821 + 22.1517i 0.413963 + 0.883245i
\(630\) 13.0945 0.521699
\(631\) 1.60411 + 1.60411i 0.0638587 + 0.0638587i 0.738315 0.674456i \(-0.235622\pi\)
−0.674456 + 0.738315i \(0.735622\pi\)
\(632\) −7.36767 + 3.05179i −0.293070 + 0.121394i
\(633\) 16.1089i 0.640270i
\(634\) 16.5465 + 39.9468i 0.657145 + 1.58649i
\(635\) −70.1332 29.0501i −2.78315 1.15282i
\(636\) −6.32653 + 15.2736i −0.250863 + 0.605637i
\(637\) 3.92847 3.92847i 0.155652 0.155652i
\(638\) 23.9227 23.9227i 0.947107 0.947107i
\(639\) −0.854246 + 2.06233i −0.0337934 + 0.0815846i
\(640\) 21.5581 + 8.92965i 0.852158 + 0.352975i
\(641\) −4.96949 11.9974i −0.196283 0.473870i 0.794840 0.606820i \(-0.207555\pi\)
−0.991123 + 0.132950i \(0.957555\pi\)
\(642\) 33.4742i 1.32112i
\(643\) −10.0699 + 4.17107i −0.397117 + 0.164491i −0.572299 0.820045i \(-0.693948\pi\)
0.175183 + 0.984536i \(0.443948\pi\)
\(644\) −0.389592 0.389592i −0.0153521 0.0153521i
\(645\) −5.45668 −0.214856
\(646\) −4.73490 + 0.215983i −0.186292 + 0.00849776i
\(647\) −4.91515 −0.193234 −0.0966172 0.995322i \(-0.530802\pi\)
−0.0966172 + 0.995322i \(0.530802\pi\)
\(648\) −4.26373 4.26373i −0.167495 0.167495i
\(649\) 16.3916 6.78964i 0.643428 0.266517i
\(650\) 12.7330i 0.499430i
\(651\) 1.71254 + 4.13445i 0.0671199 + 0.162042i
\(652\) −5.20145 2.15451i −0.203704 0.0843771i
\(653\) 4.17135 10.0705i 0.163238 0.394091i −0.821003 0.570924i \(-0.806585\pi\)
0.984241 + 0.176833i \(0.0565852\pi\)
\(654\) −20.6968 + 20.6968i −0.809307 + 0.809307i
\(655\) 40.6958 40.6958i 1.59012 1.59012i
\(656\) 3.55505 8.58264i 0.138801 0.335096i
\(657\) 6.53848 + 2.70833i 0.255090 + 0.105662i
\(658\) −27.4873 66.3603i −1.07157 2.58699i
\(659\) 36.4972i 1.42173i −0.703328 0.710865i \(-0.748303\pi\)
0.703328 0.710865i \(-0.251697\pi\)
\(660\) −16.4273 + 6.80441i −0.639432 + 0.264861i
\(661\) 11.0355 + 11.0355i 0.429232 + 0.429232i 0.888367 0.459135i \(-0.151841\pi\)
−0.459135 + 0.888367i \(0.651841\pi\)
\(662\) −11.4868 −0.446446
\(663\) −5.50050 + 2.57800i −0.213622 + 0.100121i
\(664\) −10.8649 −0.421641
\(665\) 5.41112 + 5.41112i 0.209834 + 0.209834i
\(666\) −5.72777 + 2.37252i −0.221947 + 0.0919333i
\(667\) 0.846128i 0.0327622i
\(668\) 0.503220 + 1.21488i 0.0194702 + 0.0470051i
\(669\) −21.5384 8.92148i −0.832721 0.344924i
\(670\) −5.77321 + 13.9378i −0.223039 + 0.538463i
\(671\) 13.6675 13.6675i 0.527629 0.527629i
\(672\) −28.3471 + 28.3471i −1.09351 + 1.09351i
\(673\) 16.3489 39.4696i 0.630202 1.52144i −0.209166 0.977880i \(-0.567075\pi\)
0.839368 0.543563i \(-0.182925\pi\)
\(674\) −0.765600 0.317122i −0.0294898 0.0122151i
\(675\) 15.2697 + 36.8644i 0.587733 + 1.41891i
\(676\) 18.7035i 0.719366i
\(677\) −0.430937 + 0.178500i −0.0165622 + 0.00686030i −0.390949 0.920412i \(-0.627853\pi\)
0.374387 + 0.927273i \(0.377853\pi\)
\(678\) 23.4444 + 23.4444i 0.900377 + 0.900377i
\(679\) −48.8327 −1.87403
\(680\) 4.20024 11.6105i 0.161072 0.445242i
\(681\) −1.56152 −0.0598374
\(682\) 2.23871 + 2.23871i 0.0857246 + 0.0857246i
\(683\) 25.5826 10.5967i 0.978891 0.405470i 0.164876 0.986314i \(-0.447278\pi\)
0.814014 + 0.580845i \(0.197278\pi\)
\(684\) 0.523347i 0.0200107i
\(685\) 11.8658 + 28.6465i 0.453368 + 1.09453i
\(686\) 6.89395 + 2.85557i 0.263212 + 0.109026i
\(687\) 1.44364 3.48526i 0.0550783 0.132971i
\(688\) −3.32613 + 3.32613i −0.126807 + 0.126807i
\(689\) 4.56177 4.56177i 0.173789 0.173789i
\(690\) 0.390588 0.942962i 0.0148694 0.0358979i
\(691\) 29.3761 + 12.1680i 1.11752 + 0.462892i 0.863521 0.504313i \(-0.168254\pi\)
0.253998 + 0.967205i \(0.418254\pi\)
\(692\) 4.66428 + 11.2606i 0.177309 + 0.428062i
\(693\) 4.20594i 0.159770i
\(694\) −29.9781 + 12.4173i −1.13795 + 0.471356i
\(695\) −9.62205 9.62205i −0.364985 0.364985i
\(696\) 11.4268 0.433131
\(697\) −7.65719 2.77009i −0.290037 0.104925i
\(698\) −41.6539 −1.57662
\(699\) −18.0884 18.0884i −0.684164 0.684164i
\(700\) 36.7757 15.2330i 1.38999 0.575752i
\(701\) 19.6395i 0.741772i 0.928678 + 0.370886i \(0.120946\pi\)
−0.928678 + 0.370886i \(0.879054\pi\)
\(702\) −3.77345 9.10991i −0.142420 0.343831i
\(703\) −3.34732 1.38651i −0.126247 0.0522930i
\(704\) −3.25655 + 7.86200i −0.122736 + 0.296310i
\(705\) 40.9935 40.9935i 1.54391 1.54391i
\(706\) −9.57948 + 9.57948i −0.360528 + 0.360528i
\(707\) −12.8557 + 31.0364i −0.483489 + 1.16725i
\(708\) −18.7560 7.76897i −0.704892 0.291976i
\(709\) 8.58452 + 20.7249i 0.322398 + 0.778339i 0.999114 + 0.0420937i \(0.0134028\pi\)
−0.676715 + 0.736245i \(0.736597\pi\)
\(710\) 26.4231i 0.991640i
\(711\) −4.76538 + 1.97388i −0.178716 + 0.0740264i
\(712\) 0.996956 + 0.996956i 0.0373625 + 0.0373625i
\(713\) −0.0791816 −0.00296537
\(714\) 32.1928 + 29.3839i 1.20478 + 1.09967i
\(715\) 6.93862 0.259490
\(716\) 12.2118 + 12.2118i 0.456376 + 0.456376i
\(717\) −13.4214 + 5.55935i −0.501233 + 0.207618i
\(718\) 22.9033i 0.854742i
\(719\) 12.9975 + 31.3787i 0.484724 + 1.17023i 0.957342 + 0.288959i \(0.0933091\pi\)
−0.472618 + 0.881267i \(0.656691\pi\)
\(720\) 8.41723 + 3.48653i 0.313692 + 0.129935i
\(721\) −19.1039 + 46.1210i −0.711468 + 1.71764i
\(722\) −24.7964 + 24.7964i −0.922828 + 0.922828i
\(723\) −20.5669 + 20.5669i −0.764892 + 0.764892i
\(724\) −3.14759 + 7.59896i −0.116979 + 0.282413i
\(725\) −56.4770 23.3935i −2.09750 0.868814i
\(726\) −7.37538 17.8057i −0.273726 0.660833i
\(727\) 5.73331i 0.212637i 0.994332 + 0.106318i \(0.0339062\pi\)
−0.994332 + 0.106318i \(0.966094\pi\)
\(728\) 2.68256 1.11115i 0.0994224 0.0411821i
\(729\) −21.1962 21.1962i −0.785044 0.785044i
\(730\) 83.7724 3.10056
\(731\) 3.04530 + 2.77960i 0.112634 + 0.102807i
\(732\) −22.1168 −0.817459
\(733\) 21.7170 + 21.7170i 0.802137 + 0.802137i 0.983429 0.181292i \(-0.0580280\pi\)
−0.181292 + 0.983429i \(0.558028\pi\)
\(734\) 29.8710 12.3730i 1.10256 0.456694i
\(735\) 32.1740i 1.18676i
\(736\) −0.271448 0.655332i −0.0100057 0.0241559i
\(737\) 4.47678 + 1.85434i 0.164904 + 0.0683056i
\(738\) 0.789695 1.90649i 0.0290691 0.0701789i
\(739\) 19.2768 19.2768i 0.709108 0.709108i −0.257239 0.966348i \(-0.582813\pi\)
0.966348 + 0.257239i \(0.0828129\pi\)
\(740\) −22.6089 + 22.6089i −0.831119 + 0.831119i
\(741\) 0.344284 0.831176i 0.0126476 0.0305340i
\(742\) −42.7655 17.7140i −1.56997 0.650303i
\(743\) 5.42753 + 13.1032i 0.199117 + 0.480710i 0.991625 0.129151i \(-0.0412252\pi\)
−0.792508 + 0.609861i \(0.791225\pi\)
\(744\) 1.06933i 0.0392035i
\(745\) −38.6243 + 15.9987i −1.41509 + 0.586147i
\(746\) 3.35432 + 3.35432i 0.122810 + 0.122810i
\(747\) −7.02739 −0.257119
\(748\) 12.6340 + 4.57051i 0.461944 + 0.167114i
\(749\) 40.8362 1.49212
\(750\) 15.8219 + 15.8219i 0.577734 + 0.577734i
\(751\) −6.90878 + 2.86171i −0.252105 + 0.104425i −0.505157 0.863027i \(-0.668566\pi\)
0.253052 + 0.967453i \(0.418566\pi\)
\(752\) 49.9754i 1.82241i
\(753\) 1.22831 + 2.96539i 0.0447620 + 0.108065i
\(754\) 13.9566 + 5.78100i 0.508268 + 0.210532i
\(755\) −22.2052 + 53.6082i −0.808131 + 1.95100i
\(756\) −21.7970 + 21.7970i −0.792751 + 0.792751i
\(757\) 9.91141 9.91141i 0.360236 0.360236i −0.503664 0.863900i \(-0.668015\pi\)
0.863900 + 0.503664i \(0.168015\pi\)
\(758\) 10.5312 25.4245i 0.382509 0.923459i
\(759\) −0.302877 0.125456i −0.0109938 0.00455376i
\(760\) 0.699764 + 1.68938i 0.0253831 + 0.0612802i
\(761\) 18.0087i 0.652814i