Properties

Label 731.2.n.a.208.13
Level 731
Weight 2
Character 731.208
Analytic conductor 5.837
Analytic rank 0
Dimension 256
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.n (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(64\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 208.13
Character \(\chi\) = 731.208
Dual form 731.2.n.a.608.52

$q$-expansion

\(f(q)\) \(=\) \(q-1.83727i q^{2} +(1.97172 + 0.528320i) q^{3} -1.37557 q^{4} +(-3.10860 - 0.832946i) q^{5} +(0.970668 - 3.62258i) q^{6} +(-0.484923 + 0.129935i) q^{7} -1.14725i q^{8} +(1.01047 + 0.583396i) q^{9} +O(q^{10})\) \(q-1.83727i q^{2} +(1.97172 + 0.528320i) q^{3} -1.37557 q^{4} +(-3.10860 - 0.832946i) q^{5} +(0.970668 - 3.62258i) q^{6} +(-0.484923 + 0.129935i) q^{7} -1.14725i q^{8} +(1.01047 + 0.583396i) q^{9} +(-1.53035 + 5.71134i) q^{10} +(-2.25635 - 2.25635i) q^{11} +(-2.71223 - 0.726741i) q^{12} +(-1.24386 + 2.15442i) q^{13} +(0.238726 + 0.890936i) q^{14} +(-5.68921 - 3.28467i) q^{15} -4.85895 q^{16} +(-4.11316 - 0.286271i) q^{17} +(1.07186 - 1.85651i) q^{18} +(1.82988 - 1.05648i) q^{19} +(4.27609 + 1.14577i) q^{20} -1.02478 q^{21} +(-4.14552 + 4.14552i) q^{22} +(1.85679 - 6.92962i) q^{23} +(0.606114 - 2.26205i) q^{24} +(4.63944 + 2.67858i) q^{25} +(3.95827 + 2.28531i) q^{26} +(-2.64605 - 2.64605i) q^{27} +(0.667046 - 0.178734i) q^{28} +(-0.390816 - 1.45855i) q^{29} +(-6.03483 + 10.4526i) q^{30} +(-0.859375 - 0.230269i) q^{31} +6.63271i q^{32} +(-3.25680 - 5.64095i) q^{33} +(-0.525958 + 7.55699i) q^{34} +1.61566 q^{35} +(-1.38997 - 0.802502i) q^{36} +(9.08224 + 2.43358i) q^{37} +(-1.94104 - 3.36199i) q^{38} +(-3.59076 + 3.59076i) q^{39} +(-0.955596 + 3.56633i) q^{40} +(4.72893 + 4.72893i) q^{41} +1.88280i q^{42} +(-2.60493 - 6.01784i) q^{43} +(3.10376 + 3.10376i) q^{44} +(-2.65521 - 2.65521i) q^{45} +(-12.7316 - 3.41142i) q^{46} +2.32369 q^{47} +(-9.58047 - 2.56708i) q^{48} +(-5.84391 + 3.37398i) q^{49} +(4.92129 - 8.52392i) q^{50} +(-7.95874 - 2.73751i) q^{51} +(1.71101 - 2.96356i) q^{52} +(0.677264 - 0.391019i) q^{53} +(-4.86151 + 4.86151i) q^{54} +(5.13466 + 8.89348i) q^{55} +(0.149068 + 0.556328i) q^{56} +(4.16616 - 1.11632i) q^{57} +(-2.67975 + 0.718036i) q^{58} -8.90049i q^{59} +(7.82591 + 4.51829i) q^{60} +(1.47178 - 0.394363i) q^{61} +(-0.423067 + 1.57891i) q^{62} +(-0.565805 - 0.151607i) q^{63} +2.46820 q^{64} +(5.66117 - 5.66117i) q^{65} +(-10.3640 + 5.98364i) q^{66} +(2.89018 + 5.00594i) q^{67} +(5.65793 + 0.393786i) q^{68} +(7.32211 - 12.6823i) q^{69} -2.96841i q^{70} +(-0.417268 - 1.55727i) q^{71} +(0.669300 - 1.15926i) q^{72} +(-1.44396 - 5.38892i) q^{73} +(4.47115 - 16.6866i) q^{74} +(7.73252 + 7.73252i) q^{75} +(-2.51713 + 1.45326i) q^{76} +(1.38733 + 0.800977i) q^{77} +(6.59721 + 6.59721i) q^{78} +(12.7283 - 3.41054i) q^{79} +(15.1045 + 4.04724i) q^{80} +(-5.56949 - 9.64663i) q^{81} +(8.68833 - 8.68833i) q^{82} +(-10.6497 + 6.14859i) q^{83} +1.40966 q^{84} +(12.5477 + 4.31594i) q^{85} +(-11.0564 + 4.78596i) q^{86} -3.08232i q^{87} +(-2.58859 + 2.58859i) q^{88} +(2.94741 + 5.10507i) q^{89} +(-4.87834 + 4.87834i) q^{90} +(0.323241 - 1.20635i) q^{91} +(-2.55414 + 9.53217i) q^{92} +(-1.57279 - 0.908051i) q^{93} -4.26925i q^{94} +(-6.56835 + 1.75998i) q^{95} +(-3.50420 + 13.0778i) q^{96} +(-5.80791 + 5.80791i) q^{97} +(6.19893 + 10.7369i) q^{98} +(-0.963630 - 3.59632i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + O(q^{10}) \) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + 2q^{10} + 4q^{11} + 8q^{12} - 8q^{13} - 6q^{14} + 248q^{16} - 2q^{17} + 16q^{18} - 14q^{20} - 16q^{21} - 4q^{22} + 8q^{23} + 12q^{24} - 12q^{27} - 14q^{28} + 2q^{29} + 8q^{30} - 24q^{31} + 20q^{33} + 16q^{34} + 40q^{35} + 18q^{37} + 8q^{38} + 36q^{39} - 10q^{40} + 8q^{41} - 80q^{44} - 4q^{45} + 2q^{46} + 24q^{47} + 24q^{48} + 92q^{50} - 20q^{51} + 4q^{52} - 88q^{54} - 80q^{55} + 60q^{56} - 44q^{57} + 34q^{58} - 8q^{61} + 24q^{62} - 26q^{63} - 200q^{64} - 8q^{65} + 44q^{67} - 58q^{68} + 40q^{69} - 26q^{71} - 48q^{72} + 36q^{73} + 90q^{74} - 156q^{75} - 24q^{78} + 22q^{79} + 30q^{80} + 132q^{81} + 156q^{82} - 160q^{84} - 28q^{85} + 52q^{86} + 28q^{88} - 20q^{89} + 28q^{90} + 34q^{91} - 70q^{92} + 40q^{95} - 16q^{96} - 92q^{98} + 30q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(173\) \(562\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.83727i 1.29915i −0.760298 0.649574i \(-0.774947\pi\)
0.760298 0.649574i \(-0.225053\pi\)
\(3\) 1.97172 + 0.528320i 1.13837 + 0.305026i 0.778296 0.627897i \(-0.216084\pi\)
0.360076 + 0.932923i \(0.382751\pi\)
\(4\) −1.37557 −0.687785
\(5\) −3.10860 0.832946i −1.39021 0.372505i −0.515389 0.856957i \(-0.672352\pi\)
−0.874818 + 0.484452i \(0.839019\pi\)
\(6\) 0.970668 3.62258i 0.396274 1.47891i
\(7\) −0.484923 + 0.129935i −0.183284 + 0.0491108i −0.349293 0.937013i \(-0.613578\pi\)
0.166010 + 0.986124i \(0.446912\pi\)
\(8\) 1.14725i 0.405614i
\(9\) 1.01047 + 0.583396i 0.336824 + 0.194465i
\(10\) −1.53035 + 5.71134i −0.483939 + 1.80608i
\(11\) −2.25635 2.25635i −0.680314 0.680314i 0.279757 0.960071i \(-0.409746\pi\)
−0.960071 + 0.279757i \(0.909746\pi\)
\(12\) −2.71223 0.726741i −0.782955 0.209792i
\(13\) −1.24386 + 2.15442i −0.344984 + 0.597530i −0.985351 0.170539i \(-0.945449\pi\)
0.640367 + 0.768069i \(0.278782\pi\)
\(14\) 0.238726 + 0.890936i 0.0638021 + 0.238113i
\(15\) −5.68921 3.28467i −1.46895 0.848098i
\(16\) −4.85895 −1.21474
\(17\) −4.11316 0.286271i −0.997587 0.0694309i
\(18\) 1.07186 1.85651i 0.252639 0.437584i
\(19\) 1.82988 1.05648i 0.419803 0.242373i −0.275190 0.961390i \(-0.588741\pi\)
0.694993 + 0.719016i \(0.255407\pi\)
\(20\) 4.27609 + 1.14577i 0.956163 + 0.256203i
\(21\) −1.02478 −0.223625
\(22\) −4.14552 + 4.14552i −0.883829 + 0.883829i
\(23\) 1.85679 6.92962i 0.387167 1.44493i −0.447557 0.894256i \(-0.647706\pi\)
0.834723 0.550670i \(-0.185628\pi\)
\(24\) 0.606114 2.26205i 0.123723 0.461739i
\(25\) 4.63944 + 2.67858i 0.927889 + 0.535717i
\(26\) 3.95827 + 2.28531i 0.776280 + 0.448185i
\(27\) −2.64605 2.64605i −0.509232 0.509232i
\(28\) 0.667046 0.178734i 0.126060 0.0337776i
\(29\) −0.390816 1.45855i −0.0725727 0.270845i 0.920099 0.391685i \(-0.128108\pi\)
−0.992672 + 0.120840i \(0.961441\pi\)
\(30\) −6.03483 + 10.4526i −1.10180 + 1.90838i
\(31\) −0.859375 0.230269i −0.154348 0.0413575i 0.180817 0.983517i \(-0.442126\pi\)
−0.335166 + 0.942159i \(0.608792\pi\)
\(32\) 6.63271i 1.17251i
\(33\) −3.25680 5.64095i −0.566937 0.981964i
\(34\) −0.525958 + 7.55699i −0.0902011 + 1.29601i
\(35\) 1.61566 0.273096
\(36\) −1.38997 0.802502i −0.231662 0.133750i
\(37\) 9.08224 + 2.43358i 1.49311 + 0.400078i 0.910786 0.412878i \(-0.135476\pi\)
0.582325 + 0.812956i \(0.302143\pi\)
\(38\) −1.94104 3.36199i −0.314879 0.545386i
\(39\) −3.59076 + 3.59076i −0.574982 + 0.574982i
\(40\) −0.955596 + 3.56633i −0.151093 + 0.563887i
\(41\) 4.72893 + 4.72893i 0.738534 + 0.738534i 0.972294 0.233760i \(-0.0751030\pi\)
−0.233760 + 0.972294i \(0.575103\pi\)
\(42\) 1.88280i 0.290522i
\(43\) −2.60493 6.01784i −0.397248 0.917711i
\(44\) 3.10376 + 3.10376i 0.467910 + 0.467910i
\(45\) −2.65521 2.65521i −0.395815 0.395815i
\(46\) −12.7316 3.41142i −1.87717 0.502987i
\(47\) 2.32369 0.338945 0.169472 0.985535i \(-0.445794\pi\)
0.169472 + 0.985535i \(0.445794\pi\)
\(48\) −9.58047 2.56708i −1.38282 0.370526i
\(49\) −5.84391 + 3.37398i −0.834844 + 0.481998i
\(50\) 4.92129 8.52392i 0.695975 1.20546i
\(51\) −7.95874 2.73751i −1.11445 0.383328i
\(52\) 1.71101 2.96356i 0.237275 0.410972i
\(53\) 0.677264 0.391019i 0.0930294 0.0537105i −0.452764 0.891631i \(-0.649562\pi\)
0.545793 + 0.837920i \(0.316229\pi\)
\(54\) −4.86151 + 4.86151i −0.661568 + 0.661568i
\(55\) 5.13466 + 8.89348i 0.692357 + 1.19920i
\(56\) 0.149068 + 0.556328i 0.0199200 + 0.0743424i
\(57\) 4.16616 1.11632i 0.551822 0.147860i
\(58\) −2.67975 + 0.718036i −0.351868 + 0.0942827i
\(59\) 8.90049i 1.15875i −0.815063 0.579373i \(-0.803298\pi\)
0.815063 0.579373i \(-0.196702\pi\)
\(60\) 7.82591 + 4.51829i 1.01032 + 0.583309i
\(61\) 1.47178 0.394363i 0.188442 0.0504930i −0.163364 0.986566i \(-0.552234\pi\)
0.351806 + 0.936073i \(0.385568\pi\)
\(62\) −0.423067 + 1.57891i −0.0537295 + 0.200521i
\(63\) −0.565805 0.151607i −0.0712847 0.0191007i
\(64\) 2.46820 0.308526
\(65\) 5.66117 5.66117i 0.702182 0.702182i
\(66\) −10.3640 + 5.98364i −1.27572 + 0.736535i
\(67\) 2.89018 + 5.00594i 0.353092 + 0.611573i 0.986789 0.162008i \(-0.0517970\pi\)
−0.633698 + 0.773581i \(0.718464\pi\)
\(68\) 5.65793 + 0.393786i 0.686125 + 0.0477536i
\(69\) 7.32211 12.6823i 0.881479 1.52677i
\(70\) 2.96841i 0.354792i
\(71\) −0.417268 1.55727i −0.0495206 0.184814i 0.936735 0.350039i \(-0.113832\pi\)
−0.986256 + 0.165225i \(0.947165\pi\)
\(72\) 0.669300 1.15926i 0.0788778 0.136620i
\(73\) −1.44396 5.38892i −0.169002 0.630726i −0.997496 0.0707266i \(-0.977468\pi\)
0.828493 0.559999i \(-0.189198\pi\)
\(74\) 4.47115 16.6866i 0.519760 1.93977i
\(75\) 7.73252 + 7.73252i 0.892875 + 0.892875i
\(76\) −2.51713 + 1.45326i −0.288734 + 0.166701i
\(77\) 1.38733 + 0.800977i 0.158101 + 0.0912798i
\(78\) 6.59721 + 6.59721i 0.746987 + 0.746987i
\(79\) 12.7283 3.41054i 1.43205 0.383716i 0.542306 0.840181i \(-0.317551\pi\)
0.889741 + 0.456465i \(0.150885\pi\)
\(80\) 15.1045 + 4.04724i 1.68873 + 0.452495i
\(81\) −5.56949 9.64663i −0.618832 1.07185i
\(82\) 8.68833 8.68833i 0.959465 0.959465i
\(83\) −10.6497 + 6.14859i −1.16895 + 0.674895i −0.953433 0.301605i \(-0.902478\pi\)
−0.215519 + 0.976500i \(0.569144\pi\)
\(84\) 1.40966 0.153806
\(85\) 12.5477 + 4.31594i 1.36099 + 0.468129i
\(86\) −11.0564 + 4.78596i −1.19224 + 0.516083i
\(87\) 3.08232i 0.330459i
\(88\) −2.58859 + 2.58859i −0.275945 + 0.275945i
\(89\) 2.94741 + 5.10507i 0.312425 + 0.541136i 0.978887 0.204403i \(-0.0655254\pi\)
−0.666462 + 0.745539i \(0.732192\pi\)
\(90\) −4.87834 + 4.87834i −0.514223 + 0.514223i
\(91\) 0.323241 1.20635i 0.0338849 0.126460i
\(92\) −2.55414 + 9.53217i −0.266287 + 0.993798i
\(93\) −1.57279 0.908051i −0.163091 0.0941605i
\(94\) 4.26925i 0.440339i
\(95\) −6.56835 + 1.75998i −0.673898 + 0.180570i
\(96\) −3.50420 + 13.0778i −0.357645 + 1.33475i
\(97\) −5.80791 + 5.80791i −0.589704 + 0.589704i −0.937551 0.347847i \(-0.886913\pi\)
0.347847 + 0.937551i \(0.386913\pi\)
\(98\) 6.19893 + 10.7369i 0.626186 + 1.08459i
\(99\) −0.963630 3.59632i −0.0968485 0.361444i
\(100\) −6.38188 3.68458i −0.638188 0.368458i
\(101\) 3.45142 5.97804i 0.343429 0.594837i −0.641638 0.767008i \(-0.721745\pi\)
0.985067 + 0.172171i \(0.0550780\pi\)
\(102\) −5.02955 + 14.6224i −0.498000 + 1.44783i
\(103\) −2.15394 + 3.73074i −0.212234 + 0.367601i −0.952413 0.304809i \(-0.901407\pi\)
0.740179 + 0.672410i \(0.234741\pi\)
\(104\) 2.47166 + 1.42701i 0.242366 + 0.139930i
\(105\) 3.18562 + 0.853585i 0.310885 + 0.0833014i
\(106\) −0.718408 1.24432i −0.0697779 0.120859i
\(107\) 10.1648 10.1648i 0.982673 0.982673i −0.0171795 0.999852i \(-0.505469\pi\)
0.999852 + 0.0171795i \(0.00546868\pi\)
\(108\) 3.63982 + 3.63982i 0.350242 + 0.350242i
\(109\) 1.52954 5.70831i 0.146503 0.546756i −0.853181 0.521615i \(-0.825330\pi\)
0.999684 0.0251414i \(-0.00800361\pi\)
\(110\) 16.3398 9.43376i 1.55793 0.899474i
\(111\) 16.6219 + 9.59666i 1.57768 + 0.910875i
\(112\) 2.35622 0.631347i 0.222642 0.0596566i
\(113\) 8.46365 + 8.46365i 0.796193 + 0.796193i 0.982493 0.186300i \(-0.0596495\pi\)
−0.186300 + 0.982493i \(0.559650\pi\)
\(114\) −2.05098 7.65438i −0.192092 0.716898i
\(115\) −11.5440 + 19.9948i −1.07648 + 1.86452i
\(116\) 0.537595 + 2.00633i 0.0499144 + 0.186283i
\(117\) −2.51377 + 1.45132i −0.232398 + 0.134175i
\(118\) −16.3526 −1.50538
\(119\) 2.03176 0.395623i 0.186251 0.0362667i
\(120\) −3.76833 + 6.52694i −0.344000 + 0.595825i
\(121\) 0.817800i 0.0743455i
\(122\) −0.724551 2.70406i −0.0655978 0.244814i
\(123\) 6.82572 + 11.8225i 0.615455 + 1.06600i
\(124\) 1.18213 + 0.316751i 0.106158 + 0.0284451i
\(125\) −0.812788 0.812788i −0.0726980 0.0726980i
\(126\) −0.278543 + 1.03954i −0.0248146 + 0.0926094i
\(127\) 10.6850i 0.948139i −0.880487 0.474069i \(-0.842785\pi\)
0.880487 0.474069i \(-0.157215\pi\)
\(128\) 8.73066i 0.771689i
\(129\) −1.95684 13.2417i −0.172290 1.16587i
\(130\) −10.4011 10.4011i −0.912238 0.912238i
\(131\) −9.12455 + 9.12455i −0.797215 + 0.797215i −0.982656 0.185440i \(-0.940629\pi\)
0.185440 + 0.982656i \(0.440629\pi\)
\(132\) 4.47996 + 7.75952i 0.389931 + 0.675380i
\(133\) −0.750078 + 0.750078i −0.0650400 + 0.0650400i
\(134\) 9.19727 5.31005i 0.794523 0.458718i
\(135\) 6.02148 + 10.4295i 0.518246 + 0.897629i
\(136\) −0.328424 + 4.71881i −0.0281621 + 0.404635i
\(137\) −1.46472 −0.125140 −0.0625699 0.998041i \(-0.519930\pi\)
−0.0625699 + 0.998041i \(0.519930\pi\)
\(138\) −23.3008 13.4527i −1.98349 1.14517i
\(139\) 10.1197 + 2.71156i 0.858339 + 0.229991i 0.661039 0.750352i \(-0.270116\pi\)
0.197300 + 0.980343i \(0.436783\pi\)
\(140\) −2.22245 −0.187832
\(141\) 4.58166 + 1.22765i 0.385845 + 0.103387i
\(142\) −2.86112 + 0.766636i −0.240100 + 0.0643346i
\(143\) 7.66770 2.05455i 0.641206 0.171811i
\(144\) −4.90983 2.83469i −0.409152 0.236224i
\(145\) 4.85956i 0.403564i
\(146\) −9.90092 + 2.65294i −0.819406 + 0.219559i
\(147\) −13.3051 + 3.56509i −1.09738 + 0.294043i
\(148\) −12.4933 3.34756i −1.02694 0.275168i
\(149\) −1.31883 2.28428i −0.108043 0.187135i 0.806935 0.590641i \(-0.201125\pi\)
−0.914977 + 0.403505i \(0.867792\pi\)
\(150\) 14.2067 14.2067i 1.15998 1.15998i
\(151\) 13.4401i 1.09374i −0.837218 0.546870i \(-0.815819\pi\)
0.837218 0.546870i \(-0.184181\pi\)
\(152\) −1.21205 2.09933i −0.0983100 0.170278i
\(153\) −3.98922 2.68887i −0.322509 0.217382i
\(154\) 1.47161 2.54891i 0.118586 0.205397i
\(155\) 2.47965 + 1.43163i 0.199170 + 0.114991i
\(156\) 4.93934 4.93934i 0.395464 0.395464i
\(157\) 6.79417 11.7678i 0.542234 0.939176i −0.456542 0.889702i \(-0.650912\pi\)
0.998775 0.0494744i \(-0.0157546\pi\)
\(158\) −6.26609 23.3854i −0.498504 1.86044i
\(159\) 1.54196 0.413166i 0.122285 0.0327662i
\(160\) 5.52469 20.6184i 0.436765 1.63003i
\(161\) 3.60160i 0.283845i
\(162\) −17.7235 + 10.2327i −1.39249 + 0.803954i
\(163\) −5.39109 + 1.44454i −0.422263 + 0.113145i −0.463692 0.885996i \(-0.653476\pi\)
0.0414292 + 0.999141i \(0.486809\pi\)
\(164\) −6.50497 6.50497i −0.507953 0.507953i
\(165\) 5.42548 + 20.2482i 0.422373 + 1.57632i
\(166\) 11.2966 + 19.5663i 0.876788 + 1.51864i
\(167\) −7.18552 1.92536i −0.556033 0.148988i −0.0301496 0.999545i \(-0.509598\pi\)
−0.525883 + 0.850557i \(0.676265\pi\)
\(168\) 1.17568i 0.0907054i
\(169\) 3.40564 + 5.89873i 0.261972 + 0.453749i
\(170\) 7.92955 23.0535i 0.608169 1.76812i
\(171\) 2.46539 0.188533
\(172\) 3.58326 + 8.27795i 0.273221 + 0.631188i
\(173\) 12.7812 12.7812i 0.971739 0.971739i −0.0278724 0.999611i \(-0.508873\pi\)
0.999611 + 0.0278724i \(0.00887320\pi\)
\(174\) −5.66305 −0.429315
\(175\) −2.59782 0.696083i −0.196376 0.0526189i
\(176\) 10.9635 + 10.9635i 0.826403 + 0.826403i
\(177\) 4.70231 17.5493i 0.353447 1.31908i
\(178\) 9.37940 5.41520i 0.703016 0.405886i
\(179\) −16.3750 9.45414i −1.22393 0.706635i −0.258175 0.966098i \(-0.583121\pi\)
−0.965753 + 0.259463i \(0.916455\pi\)
\(180\) 3.65243 + 3.65243i 0.272236 + 0.272236i
\(181\) −5.30071 + 1.42032i −0.393998 + 0.105572i −0.450378 0.892838i \(-0.648711\pi\)
0.0563799 + 0.998409i \(0.482044\pi\)
\(182\) −2.21640 0.593882i −0.164290 0.0440214i
\(183\) 3.11029 0.229919
\(184\) −7.95000 2.13019i −0.586081 0.157040i
\(185\) −26.2060 15.1300i −1.92670 1.11238i
\(186\) −1.66834 + 2.88964i −0.122328 + 0.211879i
\(187\) 8.63478 + 9.92663i 0.631437 + 0.725907i
\(188\) −3.19640 −0.233121
\(189\) 1.62694 + 0.939317i 0.118343 + 0.0683252i
\(190\) 3.23357 + 12.0678i 0.234588 + 0.875493i
\(191\) −11.6373 20.1564i −0.842045 1.45846i −0.888163 0.459529i \(-0.848018\pi\)
0.0461179 0.998936i \(-0.485315\pi\)
\(192\) 4.86660 + 1.30400i 0.351217 + 0.0941083i
\(193\) −8.79245 8.79245i −0.632895 0.632895i 0.315898 0.948793i \(-0.397694\pi\)
−0.948793 + 0.315898i \(0.897694\pi\)
\(194\) 10.6707 + 10.6707i 0.766112 + 0.766112i
\(195\) 14.1531 8.17132i 1.01353 0.585160i
\(196\) 8.03871 4.64115i 0.574193 0.331511i
\(197\) 16.3647 4.38490i 1.16593 0.312411i 0.376601 0.926376i \(-0.377093\pi\)
0.789334 + 0.613964i \(0.210426\pi\)
\(198\) −6.60742 + 1.77045i −0.469569 + 0.125821i
\(199\) 5.21262 5.21262i 0.369513 0.369513i −0.497787 0.867299i \(-0.665854\pi\)
0.867299 + 0.497787i \(0.165854\pi\)
\(200\) 3.07300 5.32259i 0.217294 0.376364i
\(201\) 3.05388 + 11.3972i 0.215404 + 0.803899i
\(202\) −10.9833 6.34121i −0.772782 0.446166i
\(203\) 0.379032 + 0.656502i 0.0266028 + 0.0460774i
\(204\) 10.9478 + 3.76563i 0.766499 + 0.263647i
\(205\) −10.7614 18.6393i −0.751608 1.30182i
\(206\) 6.85438 + 3.95738i 0.477567 + 0.275724i
\(207\) 5.91894 5.91894i 0.411395 0.411395i
\(208\) 6.04384 10.4682i 0.419065 0.725842i
\(209\) −6.51263 1.74505i −0.450488 0.120708i
\(210\) 1.56827 5.85286i 0.108221 0.403886i
\(211\) 18.4769 + 18.4769i 1.27200 + 1.27200i 0.945037 + 0.326964i \(0.106026\pi\)
0.326964 + 0.945037i \(0.393974\pi\)
\(212\) −0.931624 + 0.537873i −0.0639842 + 0.0369413i
\(213\) 3.29094i 0.225492i
\(214\) −18.6756 18.6756i −1.27664 1.27664i
\(215\) 3.08513 + 20.8768i 0.210404 + 1.42378i
\(216\) −3.03567 + 3.03567i −0.206551 + 0.206551i
\(217\) 0.446651 0.0303207
\(218\) −10.4877 2.81017i −0.710317 0.190329i
\(219\) 11.3883i 0.769550i
\(220\) −7.06308 12.2336i −0.476193 0.824790i
\(221\) 5.73293 8.50540i 0.385639 0.572135i
\(222\) 17.6317 30.5390i 1.18336 2.04964i
\(223\) 19.6994i 1.31917i −0.751630 0.659584i \(-0.770732\pi\)
0.751630 0.659584i \(-0.229268\pi\)
\(224\) −0.861820 3.21636i −0.0575828 0.214902i
\(225\) 3.12535 + 5.41327i 0.208357 + 0.360884i
\(226\) 15.5500 15.5500i 1.03437 1.03437i
\(227\) −5.90215 + 22.0271i −0.391739 + 1.46199i 0.435524 + 0.900177i \(0.356563\pi\)
−0.827264 + 0.561814i \(0.810104\pi\)
\(228\) −5.73085 + 1.53558i −0.379535 + 0.101696i
\(229\) 3.29756 + 1.90385i 0.217909 + 0.125810i 0.604982 0.796239i \(-0.293180\pi\)
−0.387073 + 0.922049i \(0.626514\pi\)
\(230\) 36.7359 + 21.2095i 2.42229 + 1.39851i
\(231\) 2.31226 + 2.31226i 0.152135 + 0.152135i
\(232\) −1.67331 + 0.448363i −0.109858 + 0.0294365i
\(233\) 1.24061 + 4.63000i 0.0812748 + 0.303322i 0.994583 0.103948i \(-0.0331476\pi\)
−0.913308 + 0.407270i \(0.866481\pi\)
\(234\) 2.66648 + 4.61847i 0.174313 + 0.301919i
\(235\) −7.22341 1.93551i −0.471203 0.126259i
\(236\) 12.2432i 0.796967i
\(237\) 26.8985 1.74724
\(238\) −0.726867 3.73290i −0.0471158 0.241968i
\(239\) −8.16687 14.1454i −0.528271 0.914992i −0.999457 0.0329581i \(-0.989507\pi\)
0.471186 0.882034i \(-0.343826\pi\)
\(240\) 27.6436 + 15.9600i 1.78439 + 1.03022i
\(241\) 3.68620 + 13.7571i 0.237449 + 0.886171i 0.977030 + 0.213103i \(0.0683571\pi\)
−0.739581 + 0.673068i \(0.764976\pi\)
\(242\) −1.50252 −0.0965857
\(243\) −2.97938 11.1192i −0.191127 0.713297i
\(244\) −2.02454 + 0.542473i −0.129608 + 0.0347283i
\(245\) 20.9767 5.62069i 1.34015 0.359093i
\(246\) 21.7211 12.5407i 1.38489 0.799566i
\(247\) 5.25645i 0.334460i
\(248\) −0.264176 + 0.985917i −0.0167752 + 0.0626058i
\(249\) −24.2465 + 6.49684i −1.53656 + 0.411721i
\(250\) −1.49331 + 1.49331i −0.0944455 + 0.0944455i
\(251\) −4.44972 + 7.70714i −0.280864 + 0.486470i −0.971598 0.236639i \(-0.923954\pi\)
0.690734 + 0.723109i \(0.257288\pi\)
\(252\) 0.778304 + 0.208546i 0.0490285 + 0.0131372i
\(253\) −19.8252 + 11.4461i −1.24640 + 0.719608i
\(254\) −19.6312 −1.23177
\(255\) 22.4603 + 15.1390i 1.40652 + 0.948041i
\(256\) 20.9770 1.31106
\(257\) 12.8814i 0.803520i −0.915745 0.401760i \(-0.868399\pi\)
0.915745 0.401760i \(-0.131601\pi\)
\(258\) −24.3286 + 3.59524i −1.51463 + 0.223830i
\(259\) −4.72040 −0.293311
\(260\) −7.78733 + 7.78733i −0.482950 + 0.482950i
\(261\) 0.456001 1.70182i 0.0282258 0.105340i
\(262\) 16.7643 + 16.7643i 1.03570 + 1.03570i
\(263\) −1.77129 + 1.02266i −0.109223 + 0.0630597i −0.553616 0.832772i \(-0.686753\pi\)
0.444394 + 0.895832i \(0.353419\pi\)
\(264\) −6.47157 + 3.73636i −0.398298 + 0.229957i
\(265\) −2.43104 + 0.651395i −0.149337 + 0.0400149i
\(266\) 1.37810 + 1.37810i 0.0844965 + 0.0844965i
\(267\) 3.11435 + 11.6229i 0.190595 + 0.711312i
\(268\) −3.97564 6.88602i −0.242851 0.420630i
\(269\) 20.7533 20.7533i 1.26535 1.26535i 0.316884 0.948464i \(-0.397363\pi\)
0.948464 0.316884i \(-0.102637\pi\)
\(270\) 19.1618 11.0631i 1.16615 0.673279i
\(271\) −12.9368 + 22.4072i −0.785856 + 1.36114i 0.142630 + 0.989776i \(0.454444\pi\)
−0.928486 + 0.371367i \(0.878889\pi\)
\(272\) 19.9856 + 1.39098i 1.21181 + 0.0843403i
\(273\) 1.27468 2.20781i 0.0771471 0.133623i
\(274\) 2.69109i 0.162575i
\(275\) −4.42438 16.5120i −0.266800 0.995711i
\(276\) −10.0721 + 17.4454i −0.606268 + 1.05009i
\(277\) −30.7330 8.23489i −1.84657 0.494787i −0.847233 0.531222i \(-0.821733\pi\)
−0.999336 + 0.0364354i \(0.988400\pi\)
\(278\) 4.98187 18.5926i 0.298793 1.11511i
\(279\) −0.734036 0.734036i −0.0439456 0.0439456i
\(280\) 1.85356i 0.110772i
\(281\) −21.6309 + 12.4886i −1.29039 + 0.745007i −0.978723 0.205184i \(-0.934221\pi\)
−0.311667 + 0.950191i \(0.600887\pi\)
\(282\) 2.25553 8.41775i 0.134315 0.501270i
\(283\) −28.2751 + 7.57630i −1.68078 + 0.450364i −0.967986 0.251006i \(-0.919239\pi\)
−0.712797 + 0.701370i \(0.752572\pi\)
\(284\) 0.573982 + 2.14213i 0.0340595 + 0.127112i
\(285\) −13.8808 −0.822225
\(286\) −3.77478 14.0877i −0.223207 0.833021i
\(287\) −2.90762 1.67872i −0.171631 0.0990914i
\(288\) −3.86950 + 6.70217i −0.228012 + 0.394929i
\(289\) 16.8361 + 2.35496i 0.990359 + 0.138527i
\(290\) 8.92833 0.524290
\(291\) −14.5200 + 8.38312i −0.851177 + 0.491427i
\(292\) 1.98626 + 7.41284i 0.116237 + 0.433803i
\(293\) −10.3133 −0.602511 −0.301255 0.953544i \(-0.597406\pi\)
−0.301255 + 0.953544i \(0.597406\pi\)
\(294\) 6.55003 + 24.4451i 0.382006 + 1.42566i
\(295\) −7.41363 + 27.6680i −0.431638 + 1.61089i
\(296\) 2.79192 10.4196i 0.162277 0.605626i
\(297\) 11.9408i 0.692876i
\(298\) −4.19684 + 2.42305i −0.243117 + 0.140363i
\(299\) 12.6198 + 12.6198i 0.729820 + 0.729820i
\(300\) −10.6366 10.6366i −0.614106 0.614106i
\(301\) 2.04512 + 2.57972i 0.117879 + 0.148693i
\(302\) −24.6931 −1.42093
\(303\) 9.96355 9.96355i 0.572391 0.572391i
\(304\) −8.89129 + 5.13339i −0.509950 + 0.294420i
\(305\) −4.90366 −0.280783
\(306\) −4.94018 + 7.32928i −0.282411 + 0.418987i
\(307\) −6.03374 10.4507i −0.344364 0.596455i 0.640874 0.767646i \(-0.278572\pi\)
−0.985238 + 0.171191i \(0.945239\pi\)
\(308\) −1.90837 1.10180i −0.108740 0.0627809i
\(309\) −6.21799 + 6.21799i −0.353729 + 0.353729i
\(310\) 2.63029 4.55579i 0.149390 0.258752i
\(311\) −10.8338 2.90291i −0.614329 0.164609i −0.0617807 0.998090i \(-0.519678\pi\)
−0.552548 + 0.833481i \(0.686345\pi\)
\(312\) 4.11950 + 4.11950i 0.233221 + 0.233221i
\(313\) −1.06448 + 3.97270i −0.0601680 + 0.224550i −0.989462 0.144790i \(-0.953749\pi\)
0.929294 + 0.369340i \(0.120416\pi\)
\(314\) −21.6207 12.4827i −1.22013 0.704442i
\(315\) 1.63258 + 0.942569i 0.0919854 + 0.0531078i
\(316\) −17.5087 + 4.69144i −0.984940 + 0.263914i
\(317\) 20.9071 + 20.9071i 1.17426 + 1.17426i 0.981183 + 0.193078i \(0.0618470\pi\)
0.193078 + 0.981183i \(0.438153\pi\)
\(318\) −0.759098 2.83299i −0.0425681 0.158866i
\(319\) −2.40917 + 4.17280i −0.134887 + 0.233632i
\(320\) −7.67265 2.05588i −0.428914 0.114927i
\(321\) 25.4125 14.6719i 1.41839 0.818906i
\(322\) 6.61711 0.368757
\(323\) −7.82902 + 3.82163i −0.435618 + 0.212641i
\(324\) 7.66122 + 13.2696i 0.425623 + 0.737201i
\(325\) −11.5416 + 6.66355i −0.640214 + 0.369627i
\(326\) 2.65401 + 9.90490i 0.146992 + 0.548582i
\(327\) 6.03163 10.4471i 0.333550 0.577725i
\(328\) 5.42526 5.42526i 0.299560 0.299560i
\(329\) −1.12681 + 0.301928i −0.0621231 + 0.0166458i
\(330\) 37.2014 9.96809i 2.04787 0.548725i
\(331\) −5.52048 3.18725i −0.303433 0.175187i 0.340551 0.940226i \(-0.389386\pi\)
−0.643984 + 0.765039i \(0.722720\pi\)
\(332\) 14.6494 8.45781i 0.803988 0.464183i
\(333\) 7.75761 + 7.75761i 0.425114 + 0.425114i
\(334\) −3.53740 + 13.2018i −0.193558 + 0.722369i
\(335\) −4.81473 17.9688i −0.263057 0.981741i
\(336\) 4.97935 0.271646
\(337\) 2.81499 + 10.5057i 0.153342 + 0.572281i 0.999242 + 0.0389387i \(0.0123977\pi\)
−0.845899 + 0.533343i \(0.820936\pi\)
\(338\) 10.8376 6.25708i 0.589487 0.340340i
\(339\) 12.2164 + 21.1594i 0.663504 + 1.14922i
\(340\) −17.2602 5.93687i −0.936067 0.321972i
\(341\) 1.41948 + 2.45862i 0.0768693 + 0.133141i
\(342\) 4.52959i 0.244932i
\(343\) 4.88037 4.88037i 0.263515 0.263515i
\(344\) −6.90395 + 2.98850i −0.372236 + 0.161129i
\(345\) −33.3251 + 33.3251i −1.79417 + 1.79417i
\(346\) −23.4826 23.4826i −1.26243 1.26243i
\(347\) 5.52428 20.6169i 0.296559 1.10677i −0.643412 0.765520i \(-0.722482\pi\)
0.939971 0.341254i \(-0.110852\pi\)
\(348\) 4.23994i 0.227285i
\(349\) −7.82214 + 4.51612i −0.418710 + 0.241742i −0.694525 0.719469i \(-0.744385\pi\)
0.275815 + 0.961211i \(0.411052\pi\)
\(350\) −1.27889 + 4.77290i −0.0683597 + 0.255122i
\(351\) 8.99202 2.40940i 0.479958 0.128604i
\(352\) 14.9657 14.9657i 0.797674 0.797674i
\(353\) −3.31090 + 5.73465i −0.176222 + 0.305225i −0.940583 0.339563i \(-0.889721\pi\)
0.764362 + 0.644788i \(0.223054\pi\)
\(354\) −32.2428 8.63942i −1.71368 0.459180i
\(355\) 5.18847i 0.275376i
\(356\) −4.05437 7.02238i −0.214881 0.372185i
\(357\) 4.21508 + 0.293365i 0.223085 + 0.0155265i
\(358\) −17.3698 + 30.0854i −0.918024 + 1.59006i
\(359\) 8.27125 + 4.77541i 0.436540 + 0.252036i 0.702129 0.712050i \(-0.252233\pi\)
−0.265589 + 0.964086i \(0.585566\pi\)
\(360\) −3.04619 + 3.04619i −0.160548 + 0.160548i
\(361\) −7.26769 + 12.5880i −0.382510 + 0.662527i
\(362\) 2.60951 + 9.73884i 0.137153 + 0.511862i
\(363\) 0.432060 1.61247i 0.0226773 0.0846328i
\(364\) −0.444640 + 1.65942i −0.0233055 + 0.0869773i
\(365\) 17.9547i 0.939793i
\(366\) 5.71444i 0.298699i
\(367\) 7.18933 26.8309i 0.375280 1.40056i −0.477655 0.878547i \(-0.658513\pi\)
0.852935 0.522017i \(-0.174820\pi\)
\(368\) −9.02202 + 33.6707i −0.470306 + 1.75520i
\(369\) 2.01961 + 7.53728i 0.105137 + 0.392375i
\(370\) −27.7980 + 48.1475i −1.44515 + 2.50307i
\(371\) −0.277614 + 0.277614i −0.0144130 + 0.0144130i
\(372\) 2.16348 + 1.24909i 0.112171 + 0.0647621i
\(373\) −12.8334 + 22.2281i −0.664489 + 1.15093i 0.314934 + 0.949113i \(0.398017\pi\)
−0.979424 + 0.201815i \(0.935316\pi\)
\(374\) 18.2379 15.8644i 0.943061 0.820331i
\(375\) −1.17318 2.03200i −0.0605826 0.104932i
\(376\) 2.66585i 0.137481i
\(377\) 3.62845 + 0.972239i 0.186874 + 0.0500729i
\(378\) 1.72578 2.98914i 0.0887646 0.153745i
\(379\) 14.9413 14.9413i 0.767485 0.767485i −0.210178 0.977663i \(-0.567404\pi\)
0.977663 + 0.210178i \(0.0674044\pi\)
\(380\) 9.03522 2.42098i 0.463497 0.124194i
\(381\) 5.64509 21.0678i 0.289207 1.07933i
\(382\) −37.0328 + 21.3809i −1.89476 + 1.09394i
\(383\) 17.7850i 0.908773i 0.890805 + 0.454386i \(0.150141\pi\)
−0.890805 + 0.454386i \(0.849859\pi\)
\(384\) −4.61258 + 17.2144i −0.235385 + 0.878469i
\(385\) −3.64549 3.64549i −0.185791 0.185791i
\(386\) −16.1541 + 16.1541i −0.822224 + 0.822224i
\(387\) 0.878578 7.60056i 0.0446606 0.386358i
\(388\) 7.98918 7.98918i 0.405589 0.405589i
\(389\) 1.29833i 0.0658277i 0.999458 + 0.0329139i \(0.0104787\pi\)
−0.999458 + 0.0329139i \(0.989521\pi\)
\(390\) −15.0129 26.0032i −0.760210 1.31672i
\(391\) −9.62100 + 27.9711i −0.486555 + 1.41456i
\(392\) 3.87080 + 6.70442i 0.195505 + 0.338624i
\(393\) −22.8117 + 13.1703i −1.15070 + 0.664356i
\(394\) −8.05626 30.0664i −0.405868 1.51472i
\(395\) −42.4080 −2.13378
\(396\) 1.32554 + 4.94699i 0.0666109 + 0.248595i
\(397\) −5.98180 + 22.3244i −0.300218 + 1.12043i 0.636766 + 0.771057i \(0.280272\pi\)
−0.936984 + 0.349372i \(0.886395\pi\)
\(398\) −9.57700 9.57700i −0.480052 0.480052i
\(399\) −1.87522 + 1.08266i −0.0938785 + 0.0542008i
\(400\) −22.5428 13.0151i −1.12714 0.650755i
\(401\) −13.6625 + 3.66086i −0.682274 + 0.182815i −0.583278 0.812273i \(-0.698230\pi\)
−0.0989968 + 0.995088i \(0.531563\pi\)
\(402\) 20.9398 5.61081i 1.04438 0.279842i
\(403\) 1.56504 1.56504i 0.0779601 0.0779601i
\(404\) −4.74767 + 8.22321i −0.236206 + 0.409120i
\(405\) 9.27816 + 34.6266i 0.461035 + 1.72061i
\(406\) 1.20617 0.696385i 0.0598614 0.0345610i
\(407\) −15.0017 25.9837i −0.743606 1.28796i
\(408\) −3.14060 + 9.13065i −0.155483 + 0.452035i
\(409\) −15.7735 −0.779948 −0.389974 0.920826i \(-0.627516\pi\)
−0.389974 + 0.920826i \(0.627516\pi\)
\(410\) −34.2454 + 19.7716i −1.69126 + 0.976449i
\(411\) −2.88802 0.773842i −0.142455 0.0381708i
\(412\) 2.96290 5.13189i 0.145972 0.252830i
\(413\) 1.15648 + 4.31606i 0.0569068 + 0.212379i
\(414\) −10.8747 10.8747i −0.534463 0.534463i
\(415\) 38.2269 10.2429i 1.87649 0.502803i
\(416\) −14.2897 8.25015i −0.700609 0.404497i
\(417\) 18.5206 + 10.6929i 0.906956 + 0.523631i
\(418\) −3.20614 + 11.9655i −0.156817 + 0.585250i
\(419\) 20.0803 + 20.0803i 0.980985 + 0.980985i 0.999823 0.0188371i \(-0.00599638\pi\)
−0.0188371 + 0.999823i \(0.505996\pi\)
\(420\) −4.38205 1.17417i −0.213822 0.0572934i
\(421\) 1.19160 2.06390i 0.0580748 0.100588i −0.835526 0.549450i \(-0.814837\pi\)
0.893601 + 0.448862i \(0.148170\pi\)
\(422\) 33.9471 33.9471i 1.65252 1.65252i
\(423\) 2.34802 + 1.35563i 0.114165 + 0.0659130i
\(424\) −0.448596 0.776990i −0.0217857 0.0377340i
\(425\) −18.3160 12.3456i −0.888454 0.598848i
\(426\) −6.04636 −0.292947
\(427\) −0.662460 + 0.382471i −0.0320587 + 0.0185091i
\(428\) −13.9825 + 13.9825i −0.675868 + 0.675868i
\(429\) 16.2040 0.782337
\(430\) 38.3563 5.66823i 1.84971 0.273346i
\(431\) 23.4288 + 23.4288i 1.12853 + 1.12853i 0.990417 + 0.138109i \(0.0441025\pi\)
0.138109 + 0.990417i \(0.455898\pi\)
\(432\) 12.8570 + 12.8570i 0.618583 + 0.618583i
\(433\) 10.7470 6.20480i 0.516469 0.298183i −0.219020 0.975720i \(-0.570286\pi\)
0.735489 + 0.677537i \(0.236953\pi\)
\(434\) 0.820620i 0.0393910i
\(435\) −2.56740 + 9.58167i −0.123097 + 0.459406i
\(436\) −2.10398 + 7.85217i −0.100763 + 0.376051i
\(437\) −3.92332 14.6420i −0.187678 0.700423i
\(438\) −20.9234 −0.999759
\(439\) 9.44549 + 35.2510i 0.450808 + 1.68244i 0.700127 + 0.714018i \(0.253127\pi\)
−0.249319 + 0.968422i \(0.580207\pi\)
\(440\) 10.2030 5.89073i 0.486411 0.280829i
\(441\) −7.87347 −0.374927
\(442\) −15.6267 10.5330i −0.743288 0.501002i
\(443\) 16.7544 29.0194i 0.796023 1.37875i −0.126164 0.992009i \(-0.540266\pi\)
0.922187 0.386744i \(-0.126400\pi\)
\(444\) −22.8646 13.2009i −1.08511 0.626486i
\(445\) −4.91007 18.3246i −0.232760 0.868671i
\(446\) −36.1932 −1.71380
\(447\) −1.39353 5.20072i −0.0659116 0.245985i
\(448\) −1.19689 + 0.320706i −0.0565477 + 0.0151519i
\(449\) 1.84846 6.89856i 0.0872344 0.325563i −0.908494 0.417899i \(-0.862767\pi\)
0.995728 + 0.0923357i \(0.0294333\pi\)
\(450\) 9.94564 5.74212i 0.468842 0.270686i
\(451\) 21.3402i 1.00487i
\(452\) −11.6423 11.6423i −0.547610 0.547610i
\(453\) 7.10067 26.5001i 0.333619 1.24508i
\(454\) 40.4698 + 10.8439i 1.89934 + 0.508927i
\(455\) −2.00965 + 3.48082i −0.0942139 + 0.163183i
\(456\) −1.28070 4.77963i −0.0599741 0.223827i
\(457\) 13.6029i 0.636319i −0.948037 0.318159i \(-0.896935\pi\)
0.948037 0.318159i \(-0.103065\pi\)
\(458\) 3.49788 6.05851i 0.163445 0.283096i
\(459\) 10.1261 + 11.6411i 0.472647 + 0.543360i
\(460\) 15.8796 27.5042i 0.740389 1.28239i
\(461\) 19.0611 11.0049i 0.887765 0.512552i 0.0145545 0.999894i \(-0.495367\pi\)
0.873211 + 0.487342i \(0.162034\pi\)
\(462\) 4.24825 4.24825i 0.197646 0.197646i
\(463\) 3.09194 + 5.35540i 0.143695 + 0.248887i 0.928885 0.370368i \(-0.120768\pi\)
−0.785190 + 0.619254i \(0.787435\pi\)
\(464\) 1.89895 + 7.08700i 0.0881568 + 0.329006i
\(465\) 4.13281 + 4.13281i 0.191655 + 0.191655i
\(466\) 8.50658 2.27933i 0.394060 0.105588i
\(467\) 5.62193 3.24582i 0.260152 0.150199i −0.364252 0.931300i \(-0.618675\pi\)
0.624404 + 0.781102i \(0.285342\pi\)
\(468\) 3.45786 1.99640i 0.159840 0.0922835i
\(469\) −2.05196 2.05196i −0.0947508 0.0947508i
\(470\) −3.55605 + 13.2714i −0.164028 + 0.612163i
\(471\) 19.6134 19.6134i 0.903737 0.903737i
\(472\) −10.2111 −0.470003
\(473\) −7.70071 + 19.4559i −0.354079 + 0.894585i
\(474\) 49.4199i 2.26993i
\(475\) 11.3195 0.519374
\(476\) −2.79483 + 0.544206i −0.128101 + 0.0249437i
\(477\) 0.912475 0.0417793
\(478\) −25.9890 + 15.0048i −1.18871 + 0.686302i
\(479\) −3.92173 1.05083i −0.179189 0.0480134i 0.168109 0.985768i \(-0.446234\pi\)
−0.347298 + 0.937755i \(0.612901\pi\)
\(480\) 21.7863 37.7349i 0.994402 1.72235i
\(481\) −16.5400 + 16.5400i −0.754158 + 0.754158i
\(482\) 25.2755 6.77255i 1.15127 0.308481i
\(483\) −1.90280 + 7.10133i −0.0865802 + 0.323122i
\(484\) 1.12494i 0.0511337i
\(485\) 22.8921 13.2168i 1.03948 0.600142i
\(486\) −20.4290 + 5.47393i −0.926678 + 0.248303i
\(487\) 30.4143 8.14949i 1.37820 0.369289i 0.507736 0.861513i \(-0.330483\pi\)
0.870468 + 0.492224i \(0.163816\pi\)
\(488\) −0.452432 1.68850i −0.0204806 0.0764347i
\(489\) −11.3929 −0.515204
\(490\) −10.3267 38.5399i −0.466514 1.74106i
\(491\) 0.495669 + 0.286175i 0.0223692 + 0.0129149i 0.511143 0.859496i \(-0.329222\pi\)
−0.488774 + 0.872411i \(0.662556\pi\)
\(492\) −9.38926 16.2627i −0.423300 0.733178i
\(493\) 1.18995 + 6.11110i 0.0535926 + 0.275230i
\(494\) 9.65753 0.434513
\(495\) 11.9822i 0.538558i
\(496\) 4.17566 + 1.11886i 0.187493 + 0.0502385i
\(497\) 0.404686 + 0.700937i 0.0181527 + 0.0314413i
\(498\) 11.9365 + 44.5475i 0.534886 + 1.99622i
\(499\) 32.1977 8.62735i 1.44137 0.386213i 0.548355 0.836246i \(-0.315254\pi\)
0.893012 + 0.450033i \(0.148588\pi\)
\(500\) 1.11805 + 1.11805i 0.0500006 + 0.0500006i
\(501\) −13.1506 7.59251i −0.587526 0.339209i
\(502\) 14.1601 + 8.17534i 0.631997 + 0.364883i
\(503\) −4.59716 + 1.23181i −0.204977 + 0.0549235i −0.359847 0.933011i \(-0.617171\pi\)
0.154869 + 0.987935i \(0.450504\pi\)
\(504\) −0.173931 + 0.649119i −0.00774750 + 0.0289140i
\(505\) −15.7085 + 15.7085i −0.699018 + 0.699018i
\(506\) 21.0295 + 36.4242i 0.934877 + 1.61926i
\(507\) 3.59853 + 13.4299i 0.159816 + 0.596443i
\(508\) 14.6979i 0.652116i
\(509\) −17.4766 + 30.2704i −0.774636 + 1.34171i 0.160362 + 0.987058i \(0.448734\pi\)
−0.934999 + 0.354651i \(0.884600\pi\)
\(510\) 27.8145 41.2657i 1.23165 1.82728i
\(511\) 1.40042 + 2.42559i 0.0619508 + 0.107302i
\(512\) 21.0792i 0.931576i
\(513\) −7.63745 2.04645i −0.337202 0.0903529i
\(514\) −23.6667 −1.04389
\(515\) 9.80324 9.80324i 0.431982 0.431982i
\(516\) 2.69176 + 18.2149i 0.118498 + 0.801866i
\(517\) −5.24305 5.24305i −0.230589 0.230589i
\(518\) 8.67266i 0.381055i
\(519\) 31.9536 18.4484i 1.40261 0.809795i
\(520\) −6.49477 6.49477i −0.284814 0.284814i
\(521\) −3.84589 + 14.3531i −0.168492 + 0.628820i 0.829077 + 0.559134i \(0.188866\pi\)
−0.997569 + 0.0696856i \(0.977800\pi\)
\(522\) −3.12671 0.837798i −0.136852 0.0366694i
\(523\) 20.9629 36.3088i 0.916643 1.58767i 0.112165 0.993690i \(-0.464222\pi\)
0.804478 0.593982i \(-0.202445\pi\)
\(524\) 12.5515 12.5515i 0.548313 0.548313i
\(525\) −4.75440 2.74496i −0.207499 0.119800i
\(526\) 1.87890 + 3.25435i 0.0819239 + 0.141896i
\(527\) 3.46883 + 1.19315i 0.151104 + 0.0519743i
\(528\) 15.8246 + 27.4091i 0.688679 + 1.19283i
\(529\) −24.6534 14.2336i −1.07189 0.618854i
\(530\) 1.19679 + 4.46648i 0.0519852 + 0.194011i
\(531\) 5.19251 8.99369i 0.225336 0.390293i
\(532\) 1.03178 1.03178i 0.0447335 0.0447335i
\(533\) −16.0702 + 4.30601i −0.696079 + 0.186514i
\(534\) 21.3545 5.72192i 0.924099 0.247612i
\(535\) −40.0652 + 23.1316i −1.73217 + 1.00007i
\(536\) 5.74306 3.31575i 0.248062 0.143219i
\(537\) −27.2922 27.2922i −1.17774 1.17774i
\(538\) −38.1294 38.1294i −1.64387 1.64387i
\(539\) 20.7988 + 5.57301i 0.895866 + 0.240047i
\(540\) −8.28296 14.3465i −0.356442 0.617376i
\(541\) −0.436162 1.62778i −0.0187520 0.0699836i 0.955916 0.293641i \(-0.0948670\pi\)
−0.974668 + 0.223657i \(0.928200\pi\)
\(542\) 41.1682 + 23.7685i 1.76833 + 1.02094i
\(543\) −11.2019 −0.480719
\(544\) 1.89875 27.2814i 0.0814084 1.16968i
\(545\) −9.50942 + 16.4708i −0.407339 + 0.705531i
\(546\) −4.05635 2.34193i −0.173596 0.100225i
\(547\) 22.5656 + 6.04643i 0.964835 + 0.258527i 0.706646 0.707568i \(-0.250207\pi\)
0.258189 + 0.966094i \(0.416874\pi\)
\(548\) 2.01483 0.0860692
\(549\) 1.71726 + 0.460139i 0.0732910 + 0.0196383i
\(550\) −30.3371 + 8.12879i −1.29358 + 0.346613i
\(551\) −2.25607 2.25607i −0.0961119 0.0961119i
\(552\) −14.5497 8.40028i −0.619277 0.357540i
\(553\) −5.72911 + 3.30770i −0.243626 + 0.140658i
\(554\) −15.1297 + 56.4649i −0.642801 + 2.39897i
\(555\) −43.6773 43.6773i −1.85400 1.85400i
\(556\) −13.9203 3.72994i −0.590353 0.158185i
\(557\) 13.5863 0.575670 0.287835 0.957680i \(-0.407065\pi\)
0.287835 + 0.957680i \(0.407065\pi\)
\(558\) −1.34862 + 1.34862i −0.0570918 + 0.0570918i
\(559\) 16.2051 + 1.87321i 0.685404 + 0.0792285i
\(560\) −7.85041 −0.331740
\(561\) 11.7809 + 24.1344i 0.497390 + 1.01896i
\(562\) 22.9450 + 39.7418i 0.967875 + 1.67641i
\(563\) 36.6488i 1.54456i −0.635282 0.772281i \(-0.719116\pi\)
0.635282 0.772281i \(-0.280884\pi\)
\(564\) −6.30239 1.68872i −0.265378 0.0711079i
\(565\) −19.2603 33.3598i −0.810287 1.40346i
\(566\) 13.9197 + 51.9491i 0.585090 + 2.18359i
\(567\) 3.95421 + 3.95421i 0.166061 + 0.166061i
\(568\) −1.78657 + 0.478710i −0.0749629 + 0.0200862i
\(569\) −34.2724 + 19.7872i −1.43677 + 0.829522i −0.997624 0.0688922i \(-0.978054\pi\)
−0.439150 + 0.898414i \(0.644720\pi\)
\(570\) 25.5027i 1.06819i
\(571\) 5.65253 21.0955i 0.236551 0.882820i −0.740893 0.671624i \(-0.765597\pi\)
0.977444 0.211197i \(-0.0677361\pi\)
\(572\) −10.5475 + 2.82618i −0.441011 + 0.118169i
\(573\) −12.2964 45.8909i −0.513691 1.91712i
\(574\) −3.08426 + 5.34209i −0.128734 + 0.222975i
\(575\) 27.1760 27.1760i 1.13332 1.13332i
\(576\) 2.49405 + 1.43994i 0.103919 + 0.0599975i
\(577\) 9.99605 17.3137i 0.416141 0.720778i −0.579406 0.815039i \(-0.696716\pi\)
0.995548 + 0.0942612i \(0.0300489\pi\)
\(578\) 4.32669 30.9325i 0.179967 1.28662i
\(579\) −12.6910 21.9815i −0.527420 0.913519i
\(580\) 6.68466i 0.277565i
\(581\) 4.36536 4.36536i 0.181105 0.181105i
\(582\) 15.4021 + 26.6772i 0.638436 + 1.10580i
\(583\) −2.41042 0.645869i −0.0998292 0.0267492i
\(584\) −6.18243 + 1.65658i −0.255831 + 0.0685497i
\(585\) 9.02316 2.41775i 0.373062 0.0999615i
\(586\) 18.9484i 0.782750i
\(587\) 7.46282 + 4.30866i 0.308024 + 0.177838i 0.646042 0.763302i \(-0.276423\pi\)
−0.338018 + 0.941140i \(0.609757\pi\)
\(588\) 18.3021 4.90402i 0.754765 0.202239i
\(589\) −1.81583 + 0.486550i −0.0748199 + 0.0200479i
\(590\) 50.8337 + 13.6208i 2.09279 + 0.560762i
\(591\) 34.5831 1.42256
\(592\) −44.1301 11.8246i −1.81374 0.485990i
\(593\) 7.37946 + 4.26053i 0.303038 + 0.174959i 0.643807 0.765188i \(-0.277354\pi\)
−0.340769 + 0.940147i \(0.610687\pi\)
\(594\) 21.9385 0.900148
\(595\) −6.64546 0.462517i −0.272437 0.0189613i
\(596\) 1.81414 + 3.14218i 0.0743101 + 0.128709i
\(597\) 13.0317 7.52388i 0.533354 0.307932i
\(598\) 23.1859 23.1859i 0.948144 0.948144i
\(599\) 5.37771 + 9.31446i 0.219727 + 0.380579i 0.954725 0.297491i \(-0.0961499\pi\)
−0.734997 + 0.678070i \(0.762817\pi\)
\(600\) 8.87112 8.87112i 0.362162 0.362162i
\(601\) −12.3546 12.3546i −0.503956 0.503956i 0.408709 0.912665i \(-0.365979\pi\)
−0.912665 + 0.408709i \(0.865979\pi\)
\(602\) 4.73965 3.75744i 0.193174 0.153142i
\(603\) 6.74448i 0.274656i
\(604\) 18.4878i 0.752257i
\(605\) −0.681183 + 2.54221i −0.0276940 + 0.103356i
\(606\) −18.3058 18.3058i −0.743621 0.743621i
\(607\) −29.4446 7.88965i −1.19512 0.320231i −0.394212 0.919020i \(-0.628982\pi\)
−0.800907 + 0.598789i \(0.795649\pi\)
\(608\) 7.00734 + 12.1371i 0.284185 + 0.492223i
\(609\) 0.400500 + 1.49469i 0.0162291 + 0.0605678i
\(610\) 9.00935i 0.364778i
\(611\) −2.89034 + 5.00621i −0.116931 + 0.202530i
\(612\) 5.48745 + 3.69872i 0.221817 + 0.149512i
\(613\) 44.7748 1.80844 0.904218 0.427071i \(-0.140454\pi\)
0.904218 + 0.427071i \(0.140454\pi\)
\(614\) −19.2009 + 11.0856i −0.774884 + 0.447379i
\(615\) −11.3709 42.4368i −0.458519 1.71122i
\(616\) 0.918920 1.59162i 0.0370243 0.0641280i
\(617\) −5.24890 19.5892i −0.211313 0.788630i −0.987432 0.158044i \(-0.949481\pi\)
0.776119 0.630586i \(-0.217185\pi\)
\(618\) 11.4241 + 11.4241i 0.459546 + 0.459546i
\(619\) −1.99581 + 0.534776i −0.0802185 + 0.0214945i −0.298705 0.954345i \(-0.596555\pi\)
0.218487 + 0.975840i \(0.429888\pi\)
\(620\) −3.41093 1.96930i −0.136986 0.0790891i
\(621\) −23.2492 + 13.4230i −0.932960 + 0.538645i
\(622\) −5.33344 + 19.9047i −0.213851 + 0.798104i
\(623\) −2.09260 2.09260i −0.0838381 0.0838381i
\(624\) 17.4473 17.4473i 0.698452 0.698452i
\(625\) −11.5433 19.9936i −0.461732 0.799743i
\(626\) 7.29893 + 1.95574i 0.291724 + 0.0781672i
\(627\) −11.9191 6.88151i −0.476004 0.274821i
\(628\) −9.34585 + 16.1875i −0.372940 + 0.645951i
\(629\) −36.6600 12.6097i −1.46173 0.502781i
\(630\) 1.73176 2.99949i 0.0689948 0.119503i
\(631\) −10.6333 6.13916i −0.423306 0.244396i 0.273185 0.961962i \(-0.411923\pi\)
−0.696491 + 0.717566i \(0.745256\pi\)
\(632\) −3.91274 14.6025i −0.155640 0.580858i
\(633\) 26.6695 + 46.1929i 1.06002 + 1.83600i
\(634\) 38.4121 38.4121i 1.52554 1.52554i
\(635\) −8.90001 + 33.2153i −0.353186 + 1.31811i
\(636\) −2.12107 + 0.568339i −0.0841058 + 0.0225361i
\(637\) 16.7870i 0.665126i
\(638\) 7.66657 + 4.42630i 0.303522 + 0.175239i
\(639\) 0.486865 1.81701i 0.0192601 0.0718797i
\(640\) 7.27217 27.1401i 0.287458 1.07281i
\(641\) −15.5828 + 15.5828i −0.615485 + 0.615485i −0.944370 0.328885i \(-0.893327\pi\)
0.328885 + 0.944370i \(0.393327\pi\)
\(642\) −26.9563 46.6897i −1.06388 1.84269i
\(643\) 23.0215 23.0215i 0.907879 0.907879i −0.0882222 0.996101i \(-0.528119\pi\)
0.996101 + 0.0882222i \(0.0281186\pi\)
\(644\) 4.95425i 0.195225i
\(645\) −4.94662 + 42.7931i −0.194773 + 1.68498i
\(646\) 7.02138 + 14.3840i 0.276252 + 0.565932i
\(647\) 3.35058 0.131725 0.0658624 0.997829i \(-0.479020\pi\)
0.0658624 + 0.997829i \(0.479020\pi\)
\(648\) −11.0671 + 6.38958i −0.434756 + 0.251007i
\(649\) −20.0826 + 20.0826i −0.788311 + 0.788311i
\(650\) 12.2428 + 21.2051i 0.480201 + 0.831732i
\(651\) 0.880670 + 0.235975i 0.0345162 + 0.00924858i
\(652\) 7.41582 1.98706i 0.290426 0.0778194i
\(653\) −19.8249 19.8249i −0.775810 0.775810i 0.203306 0.979115i \(-0.434832\pi\)
−0.979115 + 0.203306i \(0.934832\pi\)
\(654\) −19.1941 11.0817i −0.750550 0.433330i
\(655\) 35.9648 20.7643i 1.40526 0.811328i
\(656\) −22.9776 22.9776i −0.897125 0.897125i
\(657\) 1.68480 6.28775i 0.0657302 0.245309i
\(658\) 0.554724 + 2.07026i 0.0216254 + 0.0807071i
\(659\) −5.98216 + 10.3614i −0.233032 + 0.403623i −0.958699 0.284423i \(-0.908198\pi\)
0.725667 + 0.688046i \(0.241531\pi\)
\(660\) −7.46313 27.8528i −0.290502 1.08417i
\(661\) 33.5114i 1.30344i 0.758459 + 0.651721i \(0.225953\pi\)
−0.758459 + 0.651721i \(0.774047\pi\)
\(662\) −5.85585 + 10.1426i −0.227594 + 0.394205i
\(663\) 15.7973 13.7414i 0.613516 0.533673i
\(664\) 7.05396 + 12.2178i 0.273747 + 0.474143i
\(665\) 2.95646 1.70691i 0.114647 0.0661913i
\(666\) 14.2528 14.2528i 0.552286 0.552286i
\(667\) −10.8328 −0.419449
\(668\) 9.88419 + 2.64846i 0.382431 + 0.102472i
\(669\) 10.4076 38.8416i 0.402381 1.50170i
\(670\) −33.0136 + 8.84596i −1.27543 + 0.341749i
\(671\) −4.21067 2.43103i −0.162551 0.0938489i
\(672\) 6.79707i 0.262203i
\(673\) 6.52312 1.74787i 0.251448 0.0673753i −0.130893 0.991396i \(-0.541785\pi\)
0.382341 + 0.924021i \(0.375118\pi\)
\(674\) 19.3018 5.17191i 0.743478 0.199214i
\(675\) −5.18853 19.3638i −0.199707 0.745315i
\(676\) −4.68469 8.11412i −0.180180 0.312082i
\(677\) −24.7456 + 24.7456i −0.951049 + 0.951049i −0.998857 0.0478078i \(-0.984777\pi\)
0.0478078 + 0.998857i \(0.484777\pi\)
\(678\) 38.8757 22.4449i 1.49301 0.861990i
\(679\) 2.06174 3.57104i 0.0791224 0.137044i
\(680\) 4.95145 14.3953i 0.189880 0.552035i
\(681\) −23.2747 + 40.3130i −0.891890 + 1.54480i
\(682\) 4.51715 2.60798i 0.172970 0.0998645i
\(683\) −7.15320 1.91670i −0.273710 0.0733403i 0.119353 0.992852i \(-0.461918\pi\)
−0.393063 + 0.919512i \(0.628585\pi\)
\(684\) −3.39131 −0.129670
\(685\) 4.55323 + 1.22003i 0.173970 + 0.0466151i
\(686\) −8.96657 8.96657i −0.342345 0.342345i
\(687\) 5.49601 + 5.49601i 0.209686 + 0.209686i
\(688\) 12.6572 + 29.2404i 0.482551 + 1.11478i
\(689\) 1.94549i 0.0741171i
\(690\) 61.2274 + 61.2274i 2.33089 + 2.33089i
\(691\) 13.2571 49.4763i 0.504325 1.88217i 0.0345074 0.999404i \(-0.489014\pi\)
0.469818 0.882763i \(-0.344320\pi\)
\(692\) −17.5815 + 17.5815i −0.668347 + 0.668347i
\(693\) 0.934574 + 1.61873i 0.0355015 + 0.0614904i
\(694\) −37.8789 10.1496i −1.43786 0.385274i
\(695\) −29.1994 16.8583i −1.10760 0.639471i
\(696\) −3.53618 −0.134039
\(697\) −18.0971 20.8046i −0.685475 0.788029i
\(698\) 8.29733 + 14.3714i 0.314059 + 0.543966i
\(699\) 9.78450i 0.370084i
\(700\) 3.57348 + 0.957510i 0.135065 + 0.0361905i
\(701\) −15.9155 + 27.5665i −0.601121 + 1.04117i 0.391531 + 0.920165i \(0.371946\pi\)
−0.992652 + 0.121006i \(0.961388\pi\)
\(702\) −4.42673 16.5208i −0.167076 0.623537i
\(703\) 19.1904 5.14206i 0.723781 0.193937i
\(704\) −5.56913 5.56913i −0.209894 0.209894i
\(705\) −13.2200 7.63254i −0.497892 0.287458i
\(706\) 10.5361 + 6.08303i 0.396532 + 0.228938i
\(707\) −0.896920 + 3.34735i −0.0337322 + 0.125890i
\(708\) −6.46835 + 24.1402i −0.243096 + 0.907245i
\(709\) 17.0062 17.0062i 0.638680 0.638680i −0.311550 0.950230i \(-0.600848\pi\)
0.950230 + 0.311550i \(0.100848\pi\)
\(710\) 9.53264 0.357754
\(711\) 14.8513 + 3.97939i 0.556967 + 0.149239i
\(712\) 5.85678 3.38141i 0.219492 0.126724i
\(713\) −3.19135 + 5.52758i −0.119517 + 0.207010i
\(714\) 0.538991 7.74424i 0.0201712 0.289821i
\(715\) −25.5471 −0.955408
\(716\) 22.5250 + 13.0048i 0.841799 + 0.486013i
\(717\) −8.62944 32.2055i −0.322272 1.20274i
\(718\) 8.77373 15.1965i 0.327433 0.567130i
\(719\) 22.0508 + 5.90849i 0.822355 + 0.220349i 0.645376 0.763865i \(-0.276701\pi\)
0.176979 + 0.984215i \(0.443367\pi\)
\(720\) 12.9015 + 12.9015i 0.480812 + 0.480812i
\(721\) 0.559744 2.08899i 0.0208460 0.0777982i
\(722\) 23.1276 + 13.3527i 0.860721 + 0.496937i
\(723\) 29.0726i 1.08122i
\(724\) 7.29149 1.95375i 0.270986 0.0726105i
\(725\) 2.09367 7.81367i 0.0777568 0.290193i
\(726\) −2.96255 0.793812i −0.109950 0.0294611i
\(727\) 13.5258 0.501643 0.250821 0.968033i \(-0.419299\pi\)
0.250821 + 0.968033i \(0.419299\pi\)
\(728\) −1.38398 0.370838i −0.0512939 0.0137442i
\(729\) 9.91892i 0.367368i
\(730\) 32.9877 1.22093
\(731\) 8.99174 + 25.4980i 0.332571 + 0.943078i
\(732\) −4.27842 −0.158135
\(733\) 9.39882i 0.347153i 0.984820 + 0.173577i \(0.0555324\pi\)
−0.984820 + 0.173577i \(0.944468\pi\)
\(734\) −49.2958 13.2088i −1.81954 0.487544i
\(735\) 44.3297 1.63512
\(736\) 45.9622 + 12.3155i 1.69419 + 0.453956i
\(737\) 4.77388 17.8164i 0.175848 0.656275i
\(738\) 13.8480 3.71057i 0.509754 0.136588i
\(739\) 9.88362i 0.363575i 0.983338 + 0.181787i \(0.0581883\pi\)
−0.983338 + 0.181787i \(0.941812\pi\)
\(740\) 36.0482 + 20.8124i 1.32516 + 0.765080i
\(741\) −2.77709 + 10.3642i −0.102019 + 0.380740i
\(742\) 0.510053 + 0.510053i 0.0187246 + 0.0187246i
\(743\) −6.82648 1.82915i −0.250439 0.0671050i 0.131415 0.991327i \(-0.458048\pi\)
−0.381855 + 0.924222i \(0.624715\pi\)
\(744\) −1.04176 + 1.80438i −0.0381928 + 0.0661518i
\(745\) 2.19703 + 8.19941i 0.0804928 + 0.300403i
\(746\) 40.8391 + 23.5785i 1.49523 + 0.863270i
\(747\) −14.3482 −0.524975
\(748\) −11.8777 13.6548i −0.434293 0.499268i
\(749\) −3.60840 + 6.24994i −0.131848 + 0.228368i
\(750\) −3.73334 + 2.15545i −0.136322 + 0.0787057i
\(751\) −45.4792 12.1861i −1.65956 0.444677i −0.697292 0.716787i \(-0.745612\pi\)
−0.962266 + 0.272110i \(0.912279\pi\)
\(752\) −11.2907 −0.411729
\(753\) −12.8454 + 12.8454i −0.468113 + 0.468113i
\(754\) 1.78627 6.66644i 0.0650520 0.242778i
\(755\) −11.1949 + 41.7798i −0.407423 + 1.52052i
\(756\) −2.23798 1.29210i −0.0813944 0.0469931i
\(757\) 32.6028 + 18.8232i 1.18497 + 0.684142i 0.9