Properties

Label 55.2.j.a.4.1
Level $55$
Weight $2$
Character 55.4
Analytic conductor $0.439$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 55 = 5 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 55.j (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.439177211117\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{10})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \(x^{16} - 7 x^{14} + 25 x^{12} - 57 x^{10} + 194 x^{8} - 303 x^{6} + 235 x^{4} - 33 x^{2} + 121\)
Coefficient ring: \(\Z[a_1, \ldots, a_{4}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 4.1
Root \(1.92464 + 0.625353i\) of defining polynomial
Character \(\chi\) \(=\) 55.4
Dual form 55.2.j.a.14.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.18949 + 1.63719i) q^{2} +(2.49233 + 0.809808i) q^{3} +(-0.647481 - 1.99274i) q^{4} +(-1.06421 - 1.96658i) q^{5} +(-4.29042 + 3.11717i) q^{6} +(-0.918552 + 0.298456i) q^{7} +(0.183406 + 0.0595923i) q^{8} +(3.12889 + 2.27327i) q^{9} +O(q^{10})\) \(q+(-1.18949 + 1.63719i) q^{2} +(2.49233 + 0.809808i) q^{3} +(-0.647481 - 1.99274i) q^{4} +(-1.06421 - 1.96658i) q^{5} +(-4.29042 + 3.11717i) q^{6} +(-0.918552 + 0.298456i) q^{7} +(0.183406 + 0.0595923i) q^{8} +(3.12889 + 2.27327i) q^{9} +(4.48555 + 0.596911i) q^{10} +(-3.31118 - 0.189896i) q^{11} -5.49092i q^{12} +(2.65978 - 3.66088i) q^{13} +(0.603980 - 1.85886i) q^{14} +(-1.05982 - 5.76319i) q^{15} +(3.07453 - 2.23378i) q^{16} +(1.96126 + 2.69944i) q^{17} +(-7.44357 + 2.41856i) q^{18} +(-1.01283 + 3.11717i) q^{19} +(-3.22984 + 3.39403i) q^{20} -2.53103 q^{21} +(4.24952 - 5.19517i) q^{22} +3.36643i q^{23} +(0.408851 + 0.297048i) q^{24} +(-2.73490 + 4.18573i) q^{25} +(2.82978 + 8.70916i) q^{26} +(1.33628 + 1.83923i) q^{27} +(1.18949 + 1.63719i) q^{28} +(-1.51820 - 4.67254i) q^{29} +(10.6961 + 5.12014i) q^{30} +(0.338464 + 0.245909i) q^{31} +8.07636i q^{32} +(-8.09880 - 3.15471i) q^{33} -6.75241 q^{34} +(1.56447 + 1.48879i) q^{35} +(2.50415 - 7.70697i) q^{36} +(-6.02737 + 1.95841i) q^{37} +(-3.89867 - 5.36605i) q^{38} +(9.59368 - 6.97021i) q^{39} +(-0.0779900 - 0.424103i) q^{40} +(1.78786 - 5.50247i) q^{41} +(3.01064 - 4.14379i) q^{42} +2.26205i q^{43} +(1.76552 + 6.72129i) q^{44} +(1.14077 - 8.57246i) q^{45} +(-5.51149 - 4.00433i) q^{46} +(4.11260 + 1.33626i) q^{47} +(9.47169 - 3.07754i) q^{48} +(-4.90846 + 3.56620i) q^{49} +(-3.59970 - 9.45645i) q^{50} +(2.70208 + 8.31615i) q^{51} +(-9.01735 - 2.92991i) q^{52} +(1.56392 - 2.15255i) q^{53} -4.60066 q^{54} +(3.15036 + 6.71381i) q^{55} -0.186254 q^{56} +(-5.04863 + 6.94884i) q^{57} +(9.45574 + 3.07235i) q^{58} +(3.12889 + 9.62972i) q^{59} +(-10.7983 + 5.84350i) q^{60} +(1.99897 - 1.45233i) q^{61} +(-0.805201 + 0.261626i) q^{62} +(-3.55252 - 1.15428i) q^{63} +(-7.07350 - 5.13920i) q^{64} +(-10.0300 - 1.33473i) q^{65} +(14.7983 - 9.50680i) q^{66} -9.60059i q^{67} +(4.10941 - 5.65612i) q^{68} +(-2.72616 + 8.39026i) q^{69} +(-4.29836 + 0.790444i) q^{70} +(4.41166 - 3.20526i) q^{71} +(0.438388 + 0.603390i) q^{72} +(1.36528 - 0.443607i) q^{73} +(3.96321 - 12.1975i) q^{74} +(-10.2059 + 8.21748i) q^{75} +6.86752 q^{76} +(3.09817 - 0.813812i) q^{77} +23.9977i q^{78} +(0.812218 + 0.590111i) q^{79} +(-7.66487 - 3.66911i) q^{80} +(-1.74436 - 5.36858i) q^{81} +(6.88197 + 9.47221i) q^{82} +(4.34692 + 5.98302i) q^{83} +(1.63880 + 5.04369i) q^{84} +(3.22148 - 6.72976i) q^{85} +(-3.70342 - 2.69069i) q^{86} -12.8750i q^{87} +(-0.595976 - 0.232149i) q^{88} +12.1964 q^{89} +(12.6778 + 12.0645i) q^{90} +(-1.35054 + 4.15654i) q^{91} +(6.70842 - 2.17970i) q^{92} +(0.644427 + 0.886978i) q^{93} +(-7.07962 + 5.14365i) q^{94} +(7.20805 - 1.32552i) q^{95} +(-6.54030 + 20.1290i) q^{96} +(-1.77467 + 2.44262i) q^{97} -12.2781i q^{98} +(-9.92863 - 8.12138i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 4q^{4} - 2q^{5} - 18q^{6} + 2q^{9} + O(q^{10}) \) \( 16q - 4q^{4} - 2q^{5} - 18q^{6} + 2q^{9} - 6q^{11} - 12q^{14} - 16q^{15} + 16q^{16} + 6q^{19} - 8q^{20} + 8q^{21} + 6q^{24} - 16q^{25} + 40q^{26} + 2q^{29} + 26q^{30} + 8q^{31} - 16q^{34} + 22q^{35} + 10q^{36} + 30q^{39} + 12q^{40} - 52q^{41} + 4q^{44} + 12q^{45} - 62q^{46} - 10q^{49} + 28q^{50} - 42q^{51} - 40q^{54} - 8q^{55} - 20q^{56} + 2q^{59} - 32q^{60} - 40q^{61} - 8q^{64} - 40q^{65} + 58q^{66} + 26q^{69} - 34q^{70} + 36q^{71} + 48q^{74} - 20q^{75} + 56q^{76} + 38q^{79} + 34q^{80} + 68q^{81} + 12q^{84} + 58q^{85} + 22q^{86} + 24q^{89} + 78q^{90} - 20q^{91} + 14q^{94} + 48q^{95} - 86q^{96} - 72q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/55\mathbb{Z}\right)^\times\).

\(n\) \(12\) \(46\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.18949 + 1.63719i −0.841097 + 1.15767i 0.144657 + 0.989482i \(0.453792\pi\)
−0.985755 + 0.168189i \(0.946208\pi\)
\(3\) 2.49233 + 0.809808i 1.43895 + 0.467543i 0.921570 0.388213i \(-0.126907\pi\)
0.517380 + 0.855756i \(0.326907\pi\)
\(4\) −0.647481 1.99274i −0.323741 0.996371i
\(5\) −1.06421 1.96658i −0.475930 0.879483i
\(6\) −4.29042 + 3.11717i −1.75156 + 1.27258i
\(7\) −0.918552 + 0.298456i −0.347180 + 0.112806i −0.477416 0.878677i \(-0.658427\pi\)
0.130236 + 0.991483i \(0.458427\pi\)
\(8\) 0.183406 + 0.0595923i 0.0648439 + 0.0210691i
\(9\) 3.12889 + 2.27327i 1.04296 + 0.757756i
\(10\) 4.48555 + 0.596911i 1.41846 + 0.188760i
\(11\) −3.31118 0.189896i −0.998360 0.0572559i
\(12\) 5.49092i 1.58509i
\(13\) 2.65978 3.66088i 0.737691 1.01534i −0.261057 0.965323i \(-0.584071\pi\)
0.998748 0.0500213i \(-0.0159289\pi\)
\(14\) 0.603980 1.85886i 0.161420 0.496801i
\(15\) −1.05982 5.76319i −0.273644 1.48805i
\(16\) 3.07453 2.23378i 0.768633 0.558445i
\(17\) 1.96126 + 2.69944i 0.475675 + 0.654710i 0.977667 0.210162i \(-0.0673992\pi\)
−0.501992 + 0.864872i \(0.667399\pi\)
\(18\) −7.44357 + 2.41856i −1.75447 + 0.570060i
\(19\) −1.01283 + 3.11717i −0.232359 + 0.715129i 0.765101 + 0.643910i \(0.222689\pi\)
−0.997461 + 0.0712189i \(0.977311\pi\)
\(20\) −3.22984 + 3.39403i −0.722214 + 0.758928i
\(21\) −2.53103 −0.552316
\(22\) 4.24952 5.19517i 0.906001 1.10761i
\(23\) 3.36643i 0.701948i 0.936385 + 0.350974i \(0.114149\pi\)
−0.936385 + 0.350974i \(0.885851\pi\)
\(24\) 0.408851 + 0.297048i 0.0834565 + 0.0606347i
\(25\) −2.73490 + 4.18573i −0.546981 + 0.837145i
\(26\) 2.82978 + 8.70916i 0.554965 + 1.70801i
\(27\) 1.33628 + 1.83923i 0.257167 + 0.353959i
\(28\) 1.18949 + 1.63719i 0.224793 + 0.309401i
\(29\) −1.51820 4.67254i −0.281923 0.867668i −0.987304 0.158841i \(-0.949224\pi\)
0.705382 0.708828i \(-0.250776\pi\)
\(30\) 10.6961 + 5.12014i 1.95283 + 0.934805i
\(31\) 0.338464 + 0.245909i 0.0607900 + 0.0441665i 0.617765 0.786363i \(-0.288038\pi\)
−0.556975 + 0.830529i \(0.688038\pi\)
\(32\) 8.07636i 1.42771i
\(33\) −8.09880 3.15471i −1.40982 0.549164i
\(34\) −6.75241 −1.15803
\(35\) 1.56447 + 1.48879i 0.264444 + 0.251651i
\(36\) 2.50415 7.70697i 0.417358 1.28449i
\(37\) −6.02737 + 1.95841i −0.990894 + 0.321961i −0.759221 0.650833i \(-0.774420\pi\)
−0.231673 + 0.972794i \(0.574420\pi\)
\(38\) −3.89867 5.36605i −0.632447 0.870489i
\(39\) 9.59368 6.97021i 1.53622 1.11613i
\(40\) −0.0779900 0.424103i −0.0123313 0.0670565i
\(41\) 1.78786 5.50247i 0.279217 0.859341i −0.708856 0.705353i \(-0.750788\pi\)
0.988073 0.153988i \(-0.0492117\pi\)
\(42\) 3.01064 4.14379i 0.464552 0.639401i
\(43\) 2.26205i 0.344960i 0.985013 + 0.172480i \(0.0551780\pi\)
−0.985013 + 0.172480i \(0.944822\pi\)
\(44\) 1.76552 + 6.72129i 0.266161 + 1.01327i
\(45\) 1.14077 8.57246i 0.170057 1.27791i
\(46\) −5.51149 4.00433i −0.812625 0.590407i
\(47\) 4.11260 + 1.33626i 0.599884 + 0.194914i 0.593189 0.805063i \(-0.297869\pi\)
0.00669531 + 0.999978i \(0.497869\pi\)
\(48\) 9.47169 3.07754i 1.36712 0.444205i
\(49\) −4.90846 + 3.56620i −0.701208 + 0.509457i
\(50\) −3.59970 9.45645i −0.509075 1.33734i
\(51\) 2.70208 + 8.31615i 0.378367 + 1.16449i
\(52\) −9.01735 2.92991i −1.25048 0.406306i
\(53\) 1.56392 2.15255i 0.214821 0.295676i −0.687984 0.725726i \(-0.741504\pi\)
0.902805 + 0.430050i \(0.141504\pi\)
\(54\) −4.60066 −0.626071
\(55\) 3.15036 + 6.71381i 0.424794 + 0.905290i
\(56\) −0.186254 −0.0248892
\(57\) −5.04863 + 6.94884i −0.668707 + 0.920396i
\(58\) 9.45574 + 3.07235i 1.24160 + 0.403420i
\(59\) 3.12889 + 9.62972i 0.407346 + 1.25368i 0.918920 + 0.394444i \(0.129063\pi\)
−0.511574 + 0.859239i \(0.670937\pi\)
\(60\) −10.7983 + 5.84350i −1.39406 + 0.754393i
\(61\) 1.99897 1.45233i 0.255941 0.185952i −0.452414 0.891808i \(-0.649437\pi\)
0.708356 + 0.705856i \(0.249437\pi\)
\(62\) −0.805201 + 0.261626i −0.102261 + 0.0332265i
\(63\) −3.55252 1.15428i −0.447575 0.145426i
\(64\) −7.07350 5.13920i −0.884187 0.642400i
\(65\) −10.0300 1.33473i −1.24407 0.165553i
\(66\) 14.7983 9.50680i 1.82155 1.17021i
\(67\) 9.60059i 1.17290i −0.809986 0.586449i \(-0.800525\pi\)
0.809986 0.586449i \(-0.199475\pi\)
\(68\) 4.10941 5.65612i 0.498339 0.685905i
\(69\) −2.72616 + 8.39026i −0.328191 + 1.01007i
\(70\) −4.29836 + 0.790444i −0.513753 + 0.0944761i
\(71\) 4.41166 3.20526i 0.523567 0.380394i −0.294379 0.955689i \(-0.595113\pi\)
0.817946 + 0.575295i \(0.195113\pi\)
\(72\) 0.438388 + 0.603390i 0.0516646 + 0.0711102i
\(73\) 1.36528 0.443607i 0.159794 0.0519203i −0.228028 0.973655i \(-0.573228\pi\)
0.387822 + 0.921734i \(0.373228\pi\)
\(74\) 3.96321 12.1975i 0.460713 1.41793i
\(75\) −10.2059 + 8.21748i −1.17848 + 0.948873i
\(76\) 6.86752 0.787758
\(77\) 3.09817 0.813812i 0.353069 0.0927425i
\(78\) 23.9977i 2.71721i
\(79\) 0.812218 + 0.590111i 0.0913817 + 0.0663927i 0.632538 0.774529i \(-0.282013\pi\)
−0.541156 + 0.840922i \(0.682013\pi\)
\(80\) −7.66487 3.66911i −0.856958 0.410219i
\(81\) −1.74436 5.36858i −0.193818 0.596509i
\(82\) 6.88197 + 9.47221i 0.759986 + 1.04603i
\(83\) 4.34692 + 5.98302i 0.477136 + 0.656721i 0.977951 0.208833i \(-0.0669664\pi\)
−0.500815 + 0.865554i \(0.666966\pi\)
\(84\) 1.63880 + 5.04369i 0.178807 + 0.550312i
\(85\) 3.22148 6.72976i 0.349418 0.729944i
\(86\) −3.70342 2.69069i −0.399350 0.290145i
\(87\) 12.8750i 1.38034i
\(88\) −0.595976 0.232149i −0.0635312 0.0247472i
\(89\) 12.1964 1.29282 0.646410 0.762991i \(-0.276270\pi\)
0.646410 + 0.762991i \(0.276270\pi\)
\(90\) 12.6778 + 12.0645i 1.33636 + 1.27171i
\(91\) −1.35054 + 4.15654i −0.141575 + 0.435723i
\(92\) 6.70842 2.17970i 0.699401 0.227249i
\(93\) 0.644427 + 0.886978i 0.0668240 + 0.0919754i
\(94\) −7.07962 + 5.14365i −0.730207 + 0.530527i
\(95\) 7.20805 1.32552i 0.739531 0.135995i
\(96\) −6.54030 + 20.1290i −0.667517 + 2.05440i
\(97\) −1.77467 + 2.44262i −0.180190 + 0.248010i −0.889552 0.456834i \(-0.848983\pi\)
0.709362 + 0.704844i \(0.248983\pi\)
\(98\) 12.2781i 1.24027i
\(99\) −9.92863 8.12138i −0.997865 0.816229i
\(100\) 10.1119 + 2.73978i 1.01119 + 0.273978i
\(101\) −12.2940 8.93210i −1.22330 0.888777i −0.226928 0.973912i \(-0.572868\pi\)
−0.996369 + 0.0851342i \(0.972868\pi\)
\(102\) −16.8292 5.46815i −1.66634 0.541428i
\(103\) −9.26987 + 3.01196i −0.913387 + 0.296778i −0.727751 0.685841i \(-0.759435\pi\)
−0.185636 + 0.982619i \(0.559435\pi\)
\(104\) 0.705981 0.512925i 0.0692272 0.0502965i
\(105\) 2.69355 + 4.97748i 0.262864 + 0.485753i
\(106\) 1.66387 + 5.12088i 0.161610 + 0.497384i
\(107\) 7.26778 + 2.36144i 0.702602 + 0.228289i 0.638464 0.769652i \(-0.279570\pi\)
0.0641384 + 0.997941i \(0.479570\pi\)
\(108\) 2.79989 3.85372i 0.269420 0.370825i
\(109\) 9.85576 0.944010 0.472005 0.881596i \(-0.343530\pi\)
0.472005 + 0.881596i \(0.343530\pi\)
\(110\) −14.7391 2.82827i −1.40532 0.269665i
\(111\) −16.6082 −1.57638
\(112\) −2.15743 + 2.96945i −0.203858 + 0.280587i
\(113\) −4.77298 1.55084i −0.449004 0.145890i 0.0757819 0.997124i \(-0.475855\pi\)
−0.524786 + 0.851234i \(0.675855\pi\)
\(114\) −5.37130 16.5312i −0.503068 1.54829i
\(115\) 6.62036 3.58259i 0.617352 0.334078i
\(116\) −8.32816 + 6.05076i −0.773250 + 0.561799i
\(117\) 16.6443 5.40807i 1.53877 0.499976i
\(118\) −19.4875 6.33188i −1.79397 0.582896i
\(119\) −2.60718 1.89423i −0.239000 0.173644i
\(120\) 0.149065 1.12016i 0.0136077 0.102256i
\(121\) 10.9279 + 1.25756i 0.993444 + 0.114324i
\(122\) 5.00023i 0.452700i
\(123\) 8.91189 12.2662i 0.803558 1.10600i
\(124\) 0.270884 0.833694i 0.0243261 0.0748679i
\(125\) 11.1421 + 0.923914i 0.996580 + 0.0826374i
\(126\) 6.11547 4.44315i 0.544810 0.395827i
\(127\) −4.16764 5.73626i −0.369818 0.509011i 0.583033 0.812448i \(-0.301866\pi\)
−0.952851 + 0.303438i \(0.901866\pi\)
\(128\) 1.46559 0.476198i 0.129541 0.0420903i
\(129\) −1.83183 + 5.63779i −0.161284 + 0.496380i
\(130\) 14.1158 14.8334i 1.23804 1.30097i
\(131\) 7.21704 0.630556 0.315278 0.948999i \(-0.397902\pi\)
0.315278 + 0.948999i \(0.397902\pi\)
\(132\) −1.04271 + 18.1814i −0.0907559 + 1.58249i
\(133\) 3.16557i 0.274490i
\(134\) 15.7180 + 11.4198i 1.35783 + 0.986521i
\(135\) 2.19491 4.58523i 0.188908 0.394634i
\(136\) 0.198841 + 0.611970i 0.0170505 + 0.0524760i
\(137\) −4.99076 6.86920i −0.426390 0.586875i 0.540730 0.841196i \(-0.318148\pi\)
−0.967120 + 0.254321i \(0.918148\pi\)
\(138\) −10.4937 14.4434i −0.893286 1.22950i
\(139\) −2.39184 7.36133i −0.202873 0.624380i −0.999794 0.0202958i \(-0.993539\pi\)
0.796921 0.604084i \(-0.206461\pi\)
\(140\) 1.95381 4.08156i 0.165127 0.344954i
\(141\) 9.16785 + 6.66083i 0.772072 + 0.560943i
\(142\) 11.0354i 0.926067i
\(143\) −9.50222 + 11.6168i −0.794615 + 0.971442i
\(144\) 14.6978 1.22482
\(145\) −7.57325 + 7.95824i −0.628924 + 0.660896i
\(146\) −0.897720 + 2.76290i −0.0742958 + 0.228659i
\(147\) −15.1215 + 4.91326i −1.24720 + 0.405239i
\(148\) 7.80522 + 10.7430i 0.641585 + 0.883067i
\(149\) −13.6589 + 9.92376i −1.11898 + 0.812986i −0.984054 0.177870i \(-0.943079\pi\)
−0.134925 + 0.990856i \(0.543079\pi\)
\(150\) −1.31375 26.4837i −0.107267 2.16239i
\(151\) −3.79555 + 11.6815i −0.308877 + 0.950626i 0.669325 + 0.742970i \(0.266584\pi\)
−0.978202 + 0.207656i \(0.933416\pi\)
\(152\) −0.371519 + 0.511353i −0.0301342 + 0.0414762i
\(153\) 12.9047i 1.04328i
\(154\) −2.35288 + 6.04033i −0.189600 + 0.486744i
\(155\) 0.123402 0.927318i 0.00991190 0.0744840i
\(156\) −20.1016 14.6046i −1.60941 1.16931i
\(157\) 4.00368 + 1.30087i 0.319528 + 0.103821i 0.464390 0.885631i \(-0.346274\pi\)
−0.144862 + 0.989452i \(0.546274\pi\)
\(158\) −1.93225 + 0.627827i −0.153722 + 0.0499472i
\(159\) 5.64096 4.09840i 0.447357 0.325024i
\(160\) 15.8828 8.59496i 1.25565 0.679491i
\(161\) −1.00473 3.09224i −0.0791837 0.243702i
\(162\) 10.8643 + 3.53003i 0.853581 + 0.277345i
\(163\) 9.74169 13.4083i 0.763028 1.05022i −0.233928 0.972254i \(-0.575158\pi\)
0.996956 0.0779643i \(-0.0248420\pi\)
\(164\) −12.1226 −0.946617
\(165\) 2.41484 + 19.2842i 0.187995 + 1.50128i
\(166\) −14.9660 −1.16159
\(167\) 5.38810 7.41608i 0.416944 0.573874i −0.547951 0.836510i \(-0.684592\pi\)
0.964895 + 0.262637i \(0.0845920\pi\)
\(168\) −0.464207 0.150830i −0.0358144 0.0116368i
\(169\) −2.31036 7.11055i −0.177720 0.546965i
\(170\) 7.18599 + 13.2792i 0.551141 + 1.01847i
\(171\) −10.2552 + 7.45085i −0.784236 + 0.569781i
\(172\) 4.50769 1.46464i 0.343708 0.111678i
\(173\) 3.90853 + 1.26996i 0.297160 + 0.0965531i 0.453803 0.891102i \(-0.350067\pi\)
−0.156643 + 0.987655i \(0.550067\pi\)
\(174\) 21.0788 + 15.3147i 1.59798 + 1.16100i
\(175\) 1.26290 4.66106i 0.0954661 0.352343i
\(176\) −10.6045 + 6.81261i −0.799346 + 0.513520i
\(177\) 26.5343i 1.99444i
\(178\) −14.5075 + 19.9679i −1.08739 + 1.49666i
\(179\) 5.03576 15.4985i 0.376390 1.15841i −0.566145 0.824305i \(-0.691566\pi\)
0.942536 0.334105i \(-0.108434\pi\)
\(180\) −17.8213 + 3.27724i −1.32832 + 0.244271i
\(181\) 4.48753 3.26038i 0.333555 0.242342i −0.408382 0.912811i \(-0.633907\pi\)
0.741938 + 0.670469i \(0.233907\pi\)
\(182\) −5.19860 7.15526i −0.385346 0.530383i
\(183\) 6.15820 2.00092i 0.455227 0.147912i
\(184\) −0.200613 + 0.617424i −0.0147894 + 0.0455171i
\(185\) 10.2658 + 9.76917i 0.754756 + 0.718243i
\(186\) −2.21870 −0.162683
\(187\) −5.98147 9.31078i −0.437408 0.680871i
\(188\) 9.06056i 0.660809i
\(189\) −1.77637 1.29061i −0.129212 0.0938779i
\(190\) −6.40378 + 13.3777i −0.464579 + 0.970518i
\(191\) 6.74155 + 20.7484i 0.487802 + 1.50130i 0.827882 + 0.560903i \(0.189546\pi\)
−0.340080 + 0.940396i \(0.610454\pi\)
\(192\) −13.4678 18.5368i −0.971951 1.33778i
\(193\) 13.2128 + 18.1858i 0.951076 + 1.30904i 0.951048 + 0.309044i \(0.100009\pi\)
2.83481e−5 1.00000i \(0.499991\pi\)
\(194\) −1.88809 5.81094i −0.135557 0.417201i
\(195\) −23.9172 11.4490i −1.71275 0.819878i
\(196\) 10.2847 + 7.47224i 0.734619 + 0.533732i
\(197\) 25.7479i 1.83446i −0.398358 0.917230i \(-0.630420\pi\)
0.398358 0.917230i \(-0.369580\pi\)
\(198\) 25.1063 6.59480i 1.78423 0.468672i
\(199\) −16.9671 −1.20277 −0.601385 0.798960i \(-0.705384\pi\)
−0.601385 + 0.798960i \(0.705384\pi\)
\(200\) −0.751036 + 0.604709i −0.0531063 + 0.0427594i
\(201\) 7.77463 23.9279i 0.548380 1.68774i
\(202\) 29.2472 9.50298i 2.05782 0.668627i
\(203\) 2.78909 + 3.83886i 0.195756 + 0.269435i
\(204\) 14.8224 10.7691i 1.03778 0.753988i
\(205\) −12.7237 + 2.33982i −0.888664 + 0.163420i
\(206\) 6.09526 18.7593i 0.424677 1.30702i
\(207\) −7.65279 + 10.5332i −0.531906 + 0.732106i
\(208\) 17.1969i 1.19239i
\(209\) 3.94561 10.1292i 0.272924 0.700652i
\(210\) −11.3531 1.51080i −0.783436 0.104255i
\(211\) 4.71363 + 3.42465i 0.324500 + 0.235763i 0.738093 0.674699i \(-0.235726\pi\)
−0.413593 + 0.910462i \(0.635726\pi\)
\(212\) −5.30209 1.72275i −0.364149 0.118319i
\(213\) 13.5910 4.41597i 0.931238 0.302577i
\(214\) −12.5111 + 9.08984i −0.855241 + 0.621369i
\(215\) 4.44852 2.40730i 0.303386 0.164177i
\(216\) 0.135478 + 0.416958i 0.00921810 + 0.0283704i
\(217\) −0.384290 0.124863i −0.0260873 0.00847628i
\(218\) −11.7233 + 16.1358i −0.794005 + 1.09285i
\(219\) 3.76197 0.254211
\(220\) 11.3391 10.6249i 0.764482 0.716332i
\(221\) 15.0988 1.01566
\(222\) 19.7553 27.1908i 1.32589 1.82493i
\(223\) −18.0913 5.87820i −1.21148 0.393634i −0.367508 0.930020i \(-0.619789\pi\)
−0.843972 + 0.536387i \(0.819789\pi\)
\(224\) −2.41043 7.41856i −0.161054 0.495673i
\(225\) −18.0725 + 6.87949i −1.20483 + 0.458633i
\(226\) 8.21644 5.96959i 0.546549 0.397091i
\(227\) −27.0727 + 8.79646i −1.79688 + 0.583841i −0.999799 0.0200332i \(-0.993623\pi\)
−0.797079 + 0.603874i \(0.793623\pi\)
\(228\) 17.1161 + 5.56137i 1.13354 + 0.368311i
\(229\) −20.5420 14.9247i −1.35746 0.986250i −0.998602 0.0528558i \(-0.983168\pi\)
−0.358854 0.933394i \(-0.616832\pi\)
\(230\) −2.00946 + 15.1003i −0.132500 + 0.995682i
\(231\) 8.38071 + 0.480634i 0.551410 + 0.0316234i
\(232\) 0.947446i 0.0622029i
\(233\) −7.35755 + 10.1268i −0.482009 + 0.663429i −0.978890 0.204390i \(-0.934479\pi\)
0.496880 + 0.867819i \(0.334479\pi\)
\(234\) −10.9442 + 33.6828i −0.715446 + 2.20192i
\(235\) −1.74880 9.50984i −0.114079 0.620353i
\(236\) 17.1637 12.4701i 1.11726 0.811737i
\(237\) 1.54644 + 2.12849i 0.100452 + 0.138261i
\(238\) 6.20244 2.01529i 0.402044 0.130632i
\(239\) −6.30011 + 19.3897i −0.407520 + 1.25422i 0.511252 + 0.859431i \(0.329182\pi\)
−0.918773 + 0.394787i \(0.870818\pi\)
\(240\) −16.1321 15.3517i −1.04132 0.990949i
\(241\) −22.7935 −1.46826 −0.734129 0.679010i \(-0.762409\pi\)
−0.734129 + 0.679010i \(0.762409\pi\)
\(242\) −15.0575 + 16.3952i −0.967932 + 1.05392i
\(243\) 21.6131i 1.38648i
\(244\) −4.18842 3.04307i −0.268136 0.194812i
\(245\) 12.2369 + 5.85769i 0.781785 + 0.374234i
\(246\) 9.48148 + 29.1810i 0.604517 + 1.86051i
\(247\) 8.71768 + 11.9989i 0.554693 + 0.763469i
\(248\) 0.0474222 + 0.0652711i 0.00301132 + 0.00414472i
\(249\) 5.98887 + 18.4318i 0.379529 + 1.16807i
\(250\) −14.7661 + 17.1428i −0.933887 + 1.08421i
\(251\) −13.7151 9.96460i −0.865689 0.628960i 0.0637374 0.997967i \(-0.479698\pi\)
−0.929427 + 0.369007i \(0.879698\pi\)
\(252\) 7.82663i 0.493031i
\(253\) 0.639272 11.1469i 0.0401907 0.700797i
\(254\) 14.3487 0.900320
\(255\) 13.4788 14.1640i 0.844076 0.886985i
\(256\) 4.44000 13.6649i 0.277500 0.854057i
\(257\) −4.50405 + 1.46346i −0.280955 + 0.0912879i −0.446105 0.894981i \(-0.647189\pi\)
0.165150 + 0.986268i \(0.447189\pi\)
\(258\) −7.05121 9.70516i −0.438989 0.604217i
\(259\) 4.95196 3.59781i 0.307700 0.223557i
\(260\) 3.83445 + 20.8514i 0.237803 + 1.29315i
\(261\) 5.87166 18.0711i 0.363447 1.11857i
\(262\) −8.58461 + 11.8157i −0.530359 + 0.729976i
\(263\) 18.1037i 1.11632i 0.829732 + 0.558162i \(0.188493\pi\)
−0.829732 + 0.558162i \(0.811507\pi\)
\(264\) −1.29737 1.06122i −0.0798479 0.0653136i
\(265\) −5.89751 0.784807i −0.362281 0.0482103i
\(266\) 5.18266 + 3.76542i 0.317769 + 0.230873i
\(267\) 30.3976 + 9.87677i 1.86030 + 0.604449i
\(268\) −19.1315 + 6.21620i −1.16864 + 0.379715i
\(269\) −1.85914 + 1.35074i −0.113354 + 0.0823562i −0.643018 0.765851i \(-0.722318\pi\)
0.529664 + 0.848207i \(0.322318\pi\)
\(270\) 4.89608 + 9.04759i 0.297966 + 0.550619i
\(271\) 0.248971 + 0.766255i 0.0151239 + 0.0465467i 0.958334 0.285651i \(-0.0922098\pi\)
−0.943210 + 0.332198i \(0.892210\pi\)
\(272\) 12.0599 + 3.91850i 0.731239 + 0.237594i
\(273\) −6.73199 + 9.26579i −0.407439 + 0.560791i
\(274\) 17.1827 1.03804
\(275\) 9.85062 13.3404i 0.594015 0.804454i
\(276\) 18.4848 1.11265
\(277\) −6.95521 + 9.57302i −0.417898 + 0.575187i −0.965122 0.261799i \(-0.915684\pi\)
0.547225 + 0.836986i \(0.315684\pi\)
\(278\) 14.8970 + 4.84033i 0.893462 + 0.290304i
\(279\) 0.500000 + 1.53884i 0.0299342 + 0.0921280i
\(280\) 0.198214 + 0.366284i 0.0118455 + 0.0218897i
\(281\) −5.03960 + 3.66148i −0.300637 + 0.218426i −0.727869 0.685717i \(-0.759489\pi\)
0.427231 + 0.904142i \(0.359489\pi\)
\(282\) −21.8101 + 7.08655i −1.29878 + 0.421998i
\(283\) 8.22250 + 2.67165i 0.488777 + 0.158813i 0.543029 0.839714i \(-0.317277\pi\)
−0.0542519 + 0.998527i \(0.517277\pi\)
\(284\) −9.24372 6.71596i −0.548514 0.398519i
\(285\) 19.0383 + 2.53351i 1.12773 + 0.150072i
\(286\) −7.71608 29.3750i −0.456261 1.73698i
\(287\) 5.58790i 0.329843i
\(288\) −18.3597 + 25.2700i −1.08186 + 1.48905i
\(289\) 1.81285 5.57937i 0.106638 0.328198i
\(290\) −4.02087 21.8651i −0.236114 1.28397i
\(291\) −6.40111 + 4.65068i −0.375240 + 0.272628i
\(292\) −1.76799 2.43343i −0.103464 0.142406i
\(293\) 5.52610 1.79554i 0.322838 0.104896i −0.143115 0.989706i \(-0.545712\pi\)
0.465953 + 0.884810i \(0.345712\pi\)
\(294\) 9.94288 30.6010i 0.579880 1.78469i
\(295\) 15.6079 16.4013i 0.908725 0.954920i
\(296\) −1.22216 −0.0710369
\(297\) −4.07540 6.34377i −0.236478 0.368103i
\(298\) 34.1665i 1.97921i
\(299\) 12.3241 + 8.95396i 0.712719 + 0.517821i
\(300\) 22.9835 + 15.0171i 1.32695 + 0.867014i
\(301\) −0.675123 2.07781i −0.0389134 0.119763i
\(302\) −14.6101 20.1091i −0.840717 1.15715i
\(303\) −23.4074 32.2176i −1.34472 1.85085i
\(304\) 3.84909 + 11.8463i 0.220761 + 0.679432i
\(305\) −4.98346 2.38554i −0.285352 0.136596i
\(306\) −21.1275 15.3500i −1.20778 0.877503i
\(307\) 18.4721i 1.05426i 0.849785 + 0.527130i \(0.176732\pi\)
−0.849785 + 0.527130i \(0.823268\pi\)
\(308\) −3.62773 5.64693i −0.206709 0.321764i
\(309\) −25.5427 −1.45307
\(310\) 1.37141 + 1.30507i 0.0778911 + 0.0741230i
\(311\) −3.50158 + 10.7768i −0.198557 + 0.611094i 0.801360 + 0.598182i \(0.204110\pi\)
−0.999917 + 0.0129120i \(0.995890\pi\)
\(312\) 2.17491 0.706672i 0.123130 0.0400074i
\(313\) −3.00651 4.13811i −0.169938 0.233900i 0.715550 0.698561i \(-0.246176\pi\)
−0.885488 + 0.464661i \(0.846176\pi\)
\(314\) −6.89212 + 5.00742i −0.388945 + 0.282585i
\(315\) 1.51064 + 8.21472i 0.0851149 + 0.462847i
\(316\) 0.650043 2.00063i 0.0365678 0.112544i
\(317\) 6.94368 9.55715i 0.389996 0.536783i −0.568202 0.822889i \(-0.692361\pi\)
0.958198 + 0.286106i \(0.0923609\pi\)
\(318\) 14.1104i 0.791270i
\(319\) 4.13974 + 15.7599i 0.231781 + 0.882387i
\(320\) −2.57896 + 19.3798i −0.144168 + 1.08337i
\(321\) 16.2014 + 11.7710i 0.904274 + 0.656994i
\(322\) 6.25771 + 2.03325i 0.348729 + 0.113309i
\(323\) −10.4010 + 3.37951i −0.578730 + 0.188041i
\(324\) −9.56877 + 6.95212i −0.531598 + 0.386229i
\(325\) 8.04918 + 21.1453i 0.446488 + 1.17293i
\(326\) 10.3643 + 31.8981i 0.574026 + 1.76667i
\(327\) 24.5638 + 7.98127i 1.35838 + 0.441365i
\(328\) 0.655810 0.902645i 0.0362110 0.0498402i
\(329\) −4.17645 −0.230255
\(330\) −34.4445 18.9849i −1.89611 1.04508i
\(331\) 29.2692 1.60878 0.804391 0.594100i \(-0.202492\pi\)
0.804391 + 0.594100i \(0.202492\pi\)
\(332\) 9.10807 12.5362i 0.499870 0.688012i
\(333\) −23.3110 7.57419i −1.27743 0.415063i
\(334\) 5.73247 + 17.6427i 0.313667 + 0.965367i
\(335\) −18.8804 + 10.2171i −1.03154 + 0.558218i
\(336\) −7.78174 + 5.65376i −0.424529 + 0.308438i
\(337\) 25.3400 8.23348i 1.38036 0.448506i 0.477572 0.878593i \(-0.341517\pi\)
0.902788 + 0.430087i \(0.141517\pi\)
\(338\) 14.3895 + 4.67543i 0.782685 + 0.254310i
\(339\) −10.6400 7.73040i −0.577885 0.419858i
\(340\) −15.4965 2.06219i −0.840417 0.111838i
\(341\) −1.07402 0.878523i −0.0581615 0.0475747i
\(342\) 25.6525i 1.38713i
\(343\) 7.41820 10.2103i 0.400545 0.551303i
\(344\) −0.134801 + 0.414875i −0.00726798 + 0.0223686i
\(345\) 19.4014 3.56779i 1.04453 0.192084i
\(346\) −6.72833 + 4.88842i −0.361717 + 0.262803i
\(347\) −2.53411 3.48790i −0.136038 0.187240i 0.735563 0.677457i \(-0.236918\pi\)
−0.871601 + 0.490216i \(0.836918\pi\)
\(348\) −25.6565 + 8.33631i −1.37533 + 0.446873i
\(349\) 4.06960 12.5249i 0.217841 0.670444i −0.781099 0.624407i \(-0.785341\pi\)
0.998940 0.0460373i \(-0.0146593\pi\)
\(350\) 6.12885 + 7.61189i 0.327601 + 0.406873i
\(351\) 10.2874 0.549100
\(352\) 1.53367 26.7423i 0.0817449 1.42537i
\(353\) 25.4904i 1.35672i −0.734732 0.678358i \(-0.762692\pi\)
0.734732 0.678358i \(-0.237308\pi\)
\(354\) −43.4418 31.5623i −2.30890 1.67752i
\(355\) −10.9983 5.26482i −0.583732 0.279428i
\(356\) −7.89696 24.3044i −0.418538 1.28813i
\(357\) −4.96400 6.83237i −0.262723 0.361607i
\(358\) 19.3840 + 26.6798i 1.02448 + 1.41007i
\(359\) −8.11915 24.9882i −0.428512 1.31883i −0.899591 0.436734i \(-0.856135\pi\)
0.471078 0.882091i \(-0.343865\pi\)
\(360\) 0.720078 1.50426i 0.0379514 0.0792816i
\(361\) 6.68037 + 4.85358i 0.351599 + 0.255451i
\(362\) 11.2252i 0.589981i
\(363\) 26.2175 + 11.9838i 1.37606 + 0.628984i
\(364\) 9.15736 0.479976
\(365\) −2.32534 2.21285i −0.121714 0.115826i
\(366\) −4.04923 + 12.4622i −0.211657 + 0.651412i
\(367\) −1.91993 + 0.623823i −0.100220 + 0.0325633i −0.358698 0.933454i \(-0.616779\pi\)
0.258478 + 0.966017i \(0.416779\pi\)
\(368\) 7.51985 + 10.3502i 0.391999 + 0.539541i
\(369\) 18.1026 13.1523i 0.942384 0.684682i
\(370\) −28.2051 + 5.18675i −1.46631 + 0.269646i
\(371\) −0.794101 + 2.44399i −0.0412277 + 0.126886i
\(372\) 1.35026 1.85848i 0.0700080 0.0963577i
\(373\) 8.87153i 0.459351i 0.973267 + 0.229675i \(0.0737664\pi\)
−0.973267 + 0.229675i \(0.926234\pi\)
\(374\) 22.3585 + 1.28226i 1.15613 + 0.0663040i
\(375\) 27.0216 + 11.3257i 1.39539 + 0.584855i
\(376\) 0.674645 + 0.490159i 0.0347922 + 0.0252780i
\(377\) −21.1437 6.86999i −1.08895 0.353823i
\(378\) 4.22595 1.37309i 0.217359 0.0706243i
\(379\) 17.0412 12.3812i 0.875348 0.635978i −0.0566685 0.998393i \(-0.518048\pi\)
0.932017 + 0.362415i \(0.118048\pi\)
\(380\) −7.30850 13.5055i −0.374918 0.692820i
\(381\) −5.74187 17.6717i −0.294165 0.905346i
\(382\) −41.9881 13.6428i −2.14830 0.698025i
\(383\) −15.2704 + 21.0179i −0.780281 + 1.07396i 0.214970 + 0.976621i \(0.431035\pi\)
−0.995251 + 0.0973436i \(0.968965\pi\)
\(384\) 4.03836 0.206082
\(385\) −4.89754 5.22674i −0.249602 0.266380i
\(386\) −45.4902 −2.31539
\(387\) −5.14225 + 7.07771i −0.261396 + 0.359780i
\(388\) 6.01657 + 1.95490i 0.305445 + 0.0992451i
\(389\) 0.507965 + 1.56335i 0.0257548 + 0.0792652i 0.963108 0.269116i \(-0.0867315\pi\)
−0.937353 + 0.348381i \(0.886731\pi\)
\(390\) 47.1935 25.5387i 2.38974 1.29320i
\(391\) −9.08746 + 6.60243i −0.459573 + 0.333899i
\(392\) −1.11276 + 0.361558i −0.0562029 + 0.0182614i
\(393\) 17.9873 + 5.84442i 0.907338 + 0.294812i
\(394\) 42.1543 + 30.6269i 2.12370 + 1.54296i
\(395\) 0.296130 2.22530i 0.0148999 0.111967i
\(396\) −9.75521 + 25.0437i −0.490218 + 1.25849i
\(397\) 16.7088i 0.838588i 0.907850 + 0.419294i \(0.137722\pi\)
−0.907850 + 0.419294i \(0.862278\pi\)
\(398\) 20.1823 27.7785i 1.01165 1.39241i
\(399\) 2.56351 7.88966i 0.128336 0.394977i
\(400\) 0.941436 + 18.9783i 0.0470718 + 0.948916i
\(401\) −22.4842 + 16.3357i −1.12281 + 0.815766i −0.984632 0.174641i \(-0.944123\pi\)
−0.138174 + 0.990408i \(0.544123\pi\)
\(402\) 29.9267 + 41.1906i 1.49261 + 2.05440i
\(403\) 1.80048 0.585013i 0.0896885 0.0291416i
\(404\) −9.83926 + 30.2821i −0.489521 + 1.50659i
\(405\) −8.70140 + 9.14374i −0.432376 + 0.454356i
\(406\) −9.60255 −0.476567
\(407\) 20.3296 5.34009i 1.00770 0.264698i
\(408\) 1.68626i 0.0834822i
\(409\) 31.9019 + 23.1781i 1.57745 + 1.14608i 0.919547 + 0.392980i \(0.128556\pi\)
0.657902 + 0.753104i \(0.271444\pi\)
\(410\) 11.3040 23.6144i 0.558266 1.16623i
\(411\) −6.87591 21.1619i −0.339164 1.04384i
\(412\) 12.0041 + 16.5223i 0.591401 + 0.813994i
\(413\) −5.74809 7.91157i −0.282845 0.389303i
\(414\) −8.14191 25.0582i −0.400153 1.23154i
\(415\) 7.14006 14.9158i 0.350492 0.732187i
\(416\) 29.5665 + 21.4814i 1.44962 + 1.05321i
\(417\) 20.2838i 0.993303i
\(418\) 11.8902 + 18.5083i 0.581569 + 0.905272i
\(419\) −14.7812 −0.722111 −0.361055 0.932544i \(-0.617583\pi\)
−0.361055 + 0.932544i \(0.617583\pi\)
\(420\) 8.17482 8.59039i 0.398890 0.419168i
\(421\) −3.33036 + 10.2498i −0.162312 + 0.499545i −0.998828 0.0483974i \(-0.984589\pi\)
0.836516 + 0.547942i \(0.184589\pi\)
\(422\) −11.2136 + 3.64354i −0.545872 + 0.177365i
\(423\) 9.83016 + 13.5301i 0.477959 + 0.657854i
\(424\) 0.415108 0.301594i 0.0201594 0.0146467i
\(425\) −16.6630 + 0.826581i −0.808273 + 0.0400951i
\(426\) −8.93653 + 27.5038i −0.432976 + 1.33256i
\(427\) −1.40270 + 1.93065i −0.0678813 + 0.0934306i
\(428\) 16.0118i 0.773960i
\(429\) −33.0900 + 21.2579i −1.59760 + 1.02634i
\(430\) −1.35025 + 10.1466i −0.0651146 + 0.489310i
\(431\) −26.0435 18.9217i −1.25447 0.911428i −0.256000 0.966677i \(-0.582405\pi\)
−0.998473 + 0.0552489i \(0.982405\pi\)
\(432\) 8.21685 + 2.66982i 0.395334 + 0.128452i
\(433\) 0.363904 0.118240i 0.0174881 0.00568223i −0.300260 0.953857i \(-0.597073\pi\)
0.317748 + 0.948175i \(0.397073\pi\)
\(434\) 0.661536 0.480634i 0.0317547 0.0230712i
\(435\) −25.3197 + 13.7017i −1.21399 + 0.656947i
\(436\) −6.38142 19.6400i −0.305615 0.940585i
\(437\) −10.4937 3.40962i −0.501983 0.163104i
\(438\) −4.47484 + 6.15908i −0.213816 + 0.294292i
\(439\) −26.5331 −1.26635 −0.633177 0.774007i \(-0.718249\pi\)
−0.633177 + 0.774007i \(0.718249\pi\)
\(440\) 0.177704 + 1.41909i 0.00847169 + 0.0676526i
\(441\) −23.4649 −1.11738
\(442\) −17.9599 + 24.7197i −0.854267 + 1.17580i
\(443\) 13.7913 + 4.48106i 0.655243 + 0.212901i 0.617725 0.786395i \(-0.288055\pi\)
0.0375185 + 0.999296i \(0.488055\pi\)
\(444\) 10.7535 + 33.0958i 0.510337 + 1.57066i
\(445\) −12.9796 23.9853i −0.615292 1.13701i
\(446\) 31.1432 22.6268i 1.47467 1.07141i
\(447\) −42.0788 + 13.6722i −1.99026 + 0.646675i
\(448\) 8.03120 + 2.60950i 0.379439 + 0.123287i
\(449\) 8.18240 + 5.94486i 0.386151 + 0.280555i 0.763876 0.645362i \(-0.223294\pi\)
−0.377725 + 0.925918i \(0.623294\pi\)
\(450\) 10.2340 37.7713i 0.482435 1.78055i
\(451\) −6.96483 + 17.8802i −0.327961 + 0.841945i
\(452\) 10.5155i 0.494606i
\(453\) −18.9195 + 26.0405i −0.888917 + 1.22349i
\(454\) 17.8012 54.7866i 0.835454 2.57126i
\(455\) 9.61144 1.76749i 0.450591 0.0828610i
\(456\) −1.34005 + 0.973602i −0.0627535 + 0.0455931i
\(457\) −22.9758 31.6235i −1.07476 1.47928i −0.865160 0.501496i \(-0.832783\pi\)
−0.209602 0.977787i \(-0.567217\pi\)
\(458\) 48.8691 15.8785i 2.28351 0.741956i
\(459\) −2.34410 + 7.21440i −0.109413 + 0.336739i
\(460\) −11.4257 10.8730i −0.532728 0.506957i
\(461\) 39.1322 1.82257 0.911285 0.411776i \(-0.135092\pi\)
0.911285 + 0.411776i \(0.135092\pi\)
\(462\) −10.7557 + 13.1491i −0.500399 + 0.611753i
\(463\) 12.9189i 0.600392i 0.953878 + 0.300196i \(0.0970521\pi\)
−0.953878 + 0.300196i \(0.902948\pi\)
\(464\) −15.1052 10.9745i −0.701240 0.509481i
\(465\) 1.05851 2.21125i 0.0490872 0.102544i
\(466\) −7.82780 24.0915i −0.362616 1.11602i
\(467\) 6.61206 + 9.10071i 0.305969 + 0.421131i 0.934119 0.356962i \(-0.116187\pi\)
−0.628150 + 0.778093i \(0.716187\pi\)
\(468\) −21.5538 29.6662i −0.996324 1.37132i
\(469\) 2.86535 + 8.81864i 0.132310 + 0.407207i
\(470\) 17.6496 + 8.44874i 0.814117 + 0.389711i
\(471\) 8.92504 + 6.48442i 0.411244 + 0.298786i
\(472\) 1.95261i 0.0898762i
\(473\) 0.429556 7.49007i 0.0197510 0.344394i
\(474\) −5.32424 −0.244550
\(475\) −10.2776 12.7646i −0.471571 0.585680i
\(476\) −2.08661 + 6.42192i −0.0956395 + 0.294348i
\(477\) 9.78665 3.17988i 0.448100 0.145597i
\(478\) −24.2508 33.3784i −1.10921 1.52669i
\(479\) 16.9621 12.3237i 0.775017 0.563083i −0.128462 0.991714i \(-0.541004\pi\)
0.903479 + 0.428632i \(0.141004\pi\)
\(480\) 46.5456 8.55946i 2.12451 0.390684i
\(481\) −8.86200 + 27.2744i −0.404072 + 1.24361i
\(482\) 27.1126 37.3174i 1.23495 1.69976i
\(483\) 8.52053i 0.387697i
\(484\) −4.56960 22.5907i −0.207709 1.02685i
\(485\) 6.69223 + 0.890564i 0.303879 + 0.0404384i
\(486\) 35.3849 + 25.7086i 1.60509 + 1.16617i
\(487\) 21.4645 + 6.97424i 0.972649 + 0.316033i 0.751885 0.659294i \(-0.229145\pi\)
0.220764 + 0.975327i \(0.429145\pi\)
\(488\) 0.453171 0.147244i 0.0205141 0.00666543i
\(489\) 35.1377 25.5290i 1.58898 1.15446i
\(490\) −24.1458 + 13.0665i −1.09080 + 0.590283i
\(491\) −6.20389 19.0936i −0.279977 0.861682i −0.987859 0.155351i \(-0.950349\pi\)
0.707882 0.706331i \(-0.249651\pi\)
\(492\) −30.2136 9.81699i −1.36213 0.442584i
\(493\) 9.63565 13.2623i 0.433968 0.597306i
\(494\) −30.0141 −1.35040
\(495\) −5.40519 + 28.1684i −0.242945 + 1.26607i
\(496\) 1.58993 0.0713898
\(497\) −3.09571 + 4.26088i −0.138862 + 0.191127i
\(498\) −37.3002 12.1196i −1.67146 0.543091i
\(499\) −1.43750 4.42417i −0.0643513 0.198053i 0.913711 0.406364i \(-0.133203\pi\)
−0.978063 + 0.208311i \(0.933203\pi\)
\(500\) −5.37318 22.8016i −0.240296 1.01972i
\(501\) 19.4346 14.1200i 0.868272 0.630836i
\(502\) 32.6280 10.6015i 1.45626 0.473167i
\(503\) −12.3611 4.01636i −0.551154 0.179081i 0.0201833 0.999796i \(-0.493575\pi\)
−0.571337 + 0.820716i \(0.693575\pi\)
\(504\) −0.582768 0.423406i −0.0259585 0.0188600i
\(505\) −4.48232 + 33.6828i −0.199460 + 1.49887i
\(506\) 17.4892 + 14.3057i 0.777488 + 0.635966i
\(507\) 19.5928i 0.870147i
\(508\) −8.73242 + 12.0191i −0.387439 + 0.533263i
\(509\) −9.12976 + 28.0985i −0.404669 + 1.24544i 0.516501 + 0.856286i \(0.327234\pi\)
−0.921171 + 0.389158i \(0.872766\pi\)
\(510\) 7.15631 + 38.9154i 0.316887 + 1.72320i
\(511\) −1.12169 + 0.814952i −0.0496205 + 0.0360514i
\(512\) 18.9023 + 26.0168i 0.835373 + 1.14979i
\(513\) −7.08662 + 2.30258i −0.312882 + 0.101661i
\(514\) 2.96157 9.11478i 0.130629 0.402036i
\(515\) 15.7884 + 15.0246i 0.695720 + 0.662063i
\(516\) 12.4207 0.546793
\(517\) −13.3638 5.20558i −0.587740 0.228941i
\(518\) 12.3869i 0.544248i
\(519\) 8.71293 + 6.33032i 0.382455 + 0.277870i
\(520\) −1.76003 0.842510i −0.0771822 0.0369465i
\(521\) −9.71896 29.9119i −0.425796 1.31046i −0.902230 0.431254i \(-0.858071\pi\)
0.476435 0.879210i \(-0.341929\pi\)
\(522\) 22.6016 + 31.1085i 0.989247 + 1.36158i
\(523\) 5.30194 + 7.29750i 0.231838 + 0.319097i 0.909047 0.416693i \(-0.136811\pi\)
−0.677210 + 0.735790i \(0.736811\pi\)
\(524\) −4.67290 14.3817i −0.204137 0.628268i
\(525\) 6.92212 10.5942i 0.302106 0.462369i
\(526\) −29.6393 21.5342i −1.29234 0.938937i
\(527\) 1.39595i 0.0608088i
\(528\) −31.9469 + 8.39166i −1.39031 + 0.365200i
\(529\) 11.6672 0.507269
\(530\) 8.29992 8.72185i 0.360526 0.378853i
\(531\) −12.1010 + 37.2431i −0.525140 + 1.61621i
\(532\) −6.30817 + 2.04965i −0.273494 + 0.0888636i
\(533\) −15.3885 21.1805i −0.666552 0.917430i
\(534\) −52.3279 + 38.0184i −2.26445 + 1.64522i
\(535\) −3.09048 16.8058i −0.133613 0.726577i
\(536\) 0.572121 1.76081i 0.0247119 0.0760553i
\(537\) 25.1016 34.5494i 1.08321 1.49092i
\(538\) 4.65046i 0.200496i
\(539\) 16.9300 10.8763i 0.729227 0.468473i
\(540\) −10.5583 1.40504i −0.454359 0.0604635i
\(541\) 6.91720 + 5.02564i 0.297394 + 0.216069i 0.726468 0.687200i \(-0.241160\pi\)
−0.429075 + 0.903269i \(0.641160\pi\)
\(542\) −1.55066 0.503839i −0.0666064 0.0216417i
\(543\) 13.8247 4.49192i 0.593275 0.192767i
\(544\) −21.8016 + 15.8398i −0.934737 + 0.679126i
\(545\) −10.4886 19.3822i −0.449283 0.830241i
\(546\) −7.16226 22.0432i −0.306516 0.943360i
\(547\) −32.2693 10.4849i −1.37974 0.448304i −0.477154 0.878820i \(-0.658332\pi\)
−0.902583 + 0.430516i \(0.858332\pi\)
\(548\) −10.4571 + 14.3930i −0.446706 + 0.614838i
\(549\) 9.55608 0.407844
\(550\) 10.1235 + 31.9956i 0.431669 + 1.36430i
\(551\) 16.1028 0.686002
\(552\) −0.999990 + 1.37637i −0.0425624 + 0.0585821i
\(553\) −0.922187 0.299637i −0.0392154 0.0127418i
\(554\) −7.39974 22.7740i −0.314385 0.967577i
\(555\) 17.6746 + 32.6613i 0.750246 + 1.38640i
\(556\) −13.1206 + 9.53265i −0.556436 + 0.404274i
\(557\) 21.8178 7.08904i 0.924451 0.300372i 0.192160 0.981364i \(-0.438451\pi\)
0.732291 + 0.680991i \(0.238451\pi\)
\(558\) −3.11413 1.01184i −0.131832 0.0428347i
\(559\) 8.28110 + 6.01657i 0.350253 + 0.254474i
\(560\) 8.13565 + 1.08265i 0.343794 + 0.0457501i
\(561\) −7.36788 28.0494i −0.311072 1.18425i
\(562\) 12.6061i 0.531757i
\(563\) −5.45619 + 7.50980i −0.229951 + 0.316500i −0.908364 0.418180i \(-0.862668\pi\)
0.678413 + 0.734681i \(0.262668\pi\)
\(564\) 7.33731 22.5819i 0.308957 0.950871i
\(565\) 2.02962 + 11.0369i 0.0853867 + 0.464325i
\(566\) −14.1546 + 10.2839i −0.594962 + 0.432266i
\(567\) 3.20457 + 4.41071i 0.134579 + 0.185232i
\(568\) 1.00013 0.324963i 0.0419647 0.0136352i
\(569\) −9.55701 + 29.4135i −0.400651 + 1.23308i 0.523822 + 0.851828i \(0.324506\pi\)
−0.924473 + 0.381248i \(0.875494\pi\)
\(570\) −26.7937 + 28.1558i −1.12227 + 1.17932i
\(571\) −2.63736 −0.110370 −0.0551851 0.998476i \(-0.517575\pi\)
−0.0551851 + 0.998476i \(0.517575\pi\)
\(572\) 29.3017 + 11.4138i 1.22517 + 0.477237i
\(573\) 57.1712i 2.38836i
\(574\) −9.14848 6.64676i −0.381850 0.277430i
\(575\) −14.0909 9.20685i −0.587633 0.383952i
\(576\) −10.4494 32.1599i −0.435391 1.34000i
\(577\) 21.5309 + 29.6347i 0.896342 + 1.23371i 0.971620 + 0.236546i \(0.0760154\pi\)
−0.0752785 + 0.997163i \(0.523985\pi\)
\(578\) 6.97814 + 9.60459i 0.290252 + 0.399498i
\(579\) 18.2036 + 56.0249i 0.756516 + 2.32832i
\(580\) 20.7623 + 9.93873i 0.862106 + 0.412683i
\(581\) −5.77854 4.19835i −0.239734 0.174177i
\(582\) 16.0118i 0.663710i
\(583\) −5.58719 + 6.83051i −0.231398 + 0.282891i
\(584\) 0.276837 0.0114556
\(585\) −28.3485 26.9771i −1.17207 1.11537i
\(586\) −3.63360 + 11.1831i −0.150103 + 0.461968i
\(587\) −13.0793 + 4.24973i −0.539842 + 0.175405i −0.566231 0.824246i \(-0.691599\pi\)
0.0263892 + 0.999652i \(0.491599\pi\)
\(588\) 19.5817 + 26.9519i 0.807536 + 1.11148i
\(589\) −1.10935 + 0.805989i −0.0457099 + 0.0332102i
\(590\) 8.28669 + 45.0623i 0.341158 + 1.85518i
\(591\) 20.8508 64.1723i 0.857689 2.63970i
\(592\) −14.1567 + 19.4850i −0.581837 + 0.800829i
\(593\) 20.1550i 0.827668i −0.910352 0.413834i \(-0.864189\pi\)
0.910352 0.413834i \(-0.135811\pi\)
\(594\) 15.2336 + 0.873649i 0.625044 + 0.0358463i
\(595\) −0.950563 + 7.14310i −0.0389693 + 0.292839i
\(596\) 28.6194 + 20.7932i 1.17230 + 0.851722i
\(597\) −42.2878 13.7401i −1.73072 0.562346i
\(598\) −29.3187 + 9.52624i −1.19893 + 0.389557i
\(599\) 3.49753 2.54110i 0.142905 0.103827i −0.514036 0.857769i \(-0.671850\pi\)
0.656941 + 0.753942i \(0.271850\pi\)
\(600\) −2.36153 + 0.898943i −0.0964091 + 0.0366992i
\(601\) 11.1214 + 34.2281i 0.453650 + 1.39619i 0.872713 + 0.488234i \(0.162359\pi\)
−0.419063 + 0.907957i \(0.637641\pi\)
\(602\) 4.20484 + 1.36623i 0.171376 + 0.0556836i
\(603\) 21.8247 30.0391i 0.888771 1.22329i
\(604\) 25.7358 1.04717
\(605\) −9.15648 22.8289i −0.372264 0.928127i
\(606\) 80.5893 3.27372
\(607\) 23.3056 32.0774i 0.945945 1.30198i −0.00736018 0.999973i \(-0.502343\pi\)
0.953305 0.302009i \(-0.0976572\pi\)
\(608\) −25.1754 8.17999i −1.02100 0.331742i
\(609\) 3.84261 + 11.8263i 0.155710 + 0.479227i
\(610\) 9.83338 5.32131i 0.398142 0.215454i
\(611\) 15.8305 11.5015i 0.640434 0.465303i
\(612\) 25.7158 8.35556i 1.03950 0.337753i
\(613\) 3.62818 + 1.17887i 0.146541 + 0.0476139i 0.381369 0.924423i \(-0.375453\pi\)
−0.234828 + 0.972037i \(0.575453\pi\)
\(614\) −30.2424 21.9724i −1.22049 0.886735i
\(615\) −33.6066 4.47217i −1.35515 0.180335i
\(616\) 0.616721 + 0.0353690i 0.0248484 + 0.00142506i
\(617\) 28.4055i 1.14356i 0.820407 + 0.571781i \(0.193747\pi\)
−0.820407 + 0.571781i \(0.806253\pi\)
\(618\) 30.3828 41.8184i 1.22218 1.68218i
\(619\) −7.43830 + 22.8927i −0.298971 + 0.920137i 0.682888 + 0.730523i \(0.260724\pi\)
−0.981859 + 0.189614i \(0.939276\pi\)
\(620\) −1.92781 + 0.354512i −0.0774226 + 0.0142376i
\(621\) −6.19162 + 4.49848i −0.248461 + 0.180518i
\(622\) −13.4786 18.5516i −0.540441 0.743853i
\(623\) −11.2031 + 3.64010i −0.448841 + 0.145837i
\(624\) 13.9262 42.8603i 0.557492 1.71579i
\(625\) −10.0406 22.8951i −0.401624 0.915805i
\(626\) 10.3511 0.413714
\(627\) 18.0365 22.0502i 0.720308 0.880599i
\(628\) 8.82059i 0.351980i
\(629\) −17.1078 12.4296i −0.682135 0.495600i
\(630\) −15.2460 7.29813i −0.607415 0.290765i
\(631\) 5.90889 + 18.1857i 0.235229 + 0.723961i 0.997091 + 0.0762213i \(0.0242855\pi\)
−0.761862 + 0.647740i \(0.775714\pi\)
\(632\) 0.113800 + 0.156632i 0.00452672 + 0.00623049i
\(633\) 8.97463 + 12.3525i 0.356710 + 0.490969i
\(634\) 7.38747 + 22.7363i 0.293394 + 0.902974i
\(635\) −6.84558 + 14.3006i −0.271659 + 0.567502i
\(636\) −11.8195 8.58735i −0.468673 0.340511i
\(637\) 27.4546i 1.08779i
\(638\) −30.7263 11.9687i −1.21646 0.473847i
\(639\) 21.0900 0.834307
\(640\) −2.49618 2.37542i −0.0986700 0.0938968i
\(641\) 3.70172 11.3927i 0.146209 0.449985i −0.850955 0.525238i \(-0.823976\pi\)
0.997165 + 0.0752526i \(0.0239763\pi\)
\(642\) −38.5429 + 12.5233i −1.52117 + 0.494257i
\(643\) 15.1301 + 20.8248i 0.596672 + 0.821248i 0.995399 0.0958216i \(-0.0305478\pi\)
−0.398727 + 0.917070i \(0.630548\pi\)
\(644\) −5.51149 + 4.00433i −0.217183 + 0.157793i
\(645\) 13.0366 2.39736i 0.513317 0.0943960i
\(646\) 6.83905 21.0484i 0.269079 0.828139i
\(647\) −5.46774 + 7.52570i −0.214959 + 0.295866i −0.902856 0.429942i \(-0.858534\pi\)
0.687897 + 0.725808i \(0.258534\pi\)
\(648\) 1.08858i 0.0427636i
\(649\) −8.53167 32.4800i −0.334897 1.27495i
\(650\) −44.1933 11.9740i −1.73341 0.469661i
\(651\) −0.856664 0.622403i −0.0335753 0.0243939i
\(652\) −33.0268 10.7311i −1.29343 0.420261i
\(653\) 35.6177 11.5729i 1.39383 0.452882i 0.486637 0.873604i \(-0.338223\pi\)
0.907189 + 0.420723i \(0.138223\pi\)
\(654\) −42.2854 + 30.7221i −1.65349 + 1.20133i
\(655\) −7.68047 14.1929i −0.300101 0.554563i
\(656\) −6.79446 20.9112i −0.265279 0.816445i
\(657\) 5.28025 + 1.71566i 0.206002 + 0.0669342i
\(658\) 4.96785 6.83766i 0.193667 0.266560i
\(659\) 4.93753 0.192339 0.0961693 0.995365i \(-0.469341\pi\)
0.0961693 + 0.995365i \(0.469341\pi\)
\(660\) 36.8650 17.2983i 1.43497 0.673337i
\(661\) −4.82155 −0.187537 −0.0937683 0.995594i \(-0.529891\pi\)
−0.0937683 + 0.995594i \(0.529891\pi\)
\(662\) −34.8155 + 47.9194i −1.35314 + 1.86244i
\(663\) 37.6313 + 12.2272i 1.46148 + 0.474864i
\(664\) 0.440710 + 1.35637i 0.0171029 + 0.0526372i
\(665\) −6.22536 + 3.36884i −0.241409 + 0.130638i
\(666\) 40.1286 29.1551i 1.55495 1.12974i
\(667\) 15.7297 5.11091i 0.609058 0.197895i
\(668\) −18.2670 5.93532i −0.706773 0.229645i
\(669\) −40.3292 29.3009i −1.55922 1.13284i
\(670\) 5.73070 43.0639i 0.221396 1.66370i
\(671\) −6.89474 + 4.42935i −0.266168 + 0.170993i
\(672\) 20.4415i 0.788548i
\(673\) 19.3464 26.6280i 0.745749 1.02644i −0.252518 0.967592i \(-0.581259\pi\)
0.998267 0.0588431i \(-0.0187412\pi\)
\(674\) −16.6619 + 51.2802i −0.641794 + 1.97524i
\(675\) −11.3531 + 0.563180i −0.436981 + 0.0216768i
\(676\) −12.6736 + 9.20789i −0.487445 + 0.354150i
\(677\) 10.0761 + 13.8686i 0.387258 + 0.533014i 0.957489 0.288470i \(-0.0931465\pi\)
−0.570231 + 0.821484i \(0.693146\pi\)
\(678\) 25.3123 8.22448i 0.972114 0.315859i
\(679\) 0.901110 2.77333i 0.0345814 0.106431i
\(680\) 0.991882 1.04230i 0.0380369 0.0399705i
\(681\) −74.5977 −2.85859
\(682\) 2.71585 0.713386i 0.103995 0.0273170i
\(683\) 19.3586i 0.740737i 0.928885 + 0.370368i \(0.120769\pi\)
−0.928885 + 0.370368i \(0.879231\pi\)
\(684\) 21.4877 + 15.6117i 0.821602 + 0.596929i
\(685\) −8.19762 + 17.1250i −0.313215 + 0.654314i
\(686\) 7.89232 + 24.2901i 0.301330 + 0.927399i
\(687\) −39.1115 53.8324i −1.49220 2.05383i
\(688\) 5.05292 + 6.95475i 0.192641 + 0.265148i
\(689\) −3.72054 11.4506i −0.141741 0.436234i
\(690\) −17.2366 + 36.0076i −0.656185 + 1.37079i
\(691\) 7.39559 + 5.37321i 0.281342 + 0.204407i 0.719502 0.694490i \(-0.244370\pi\)
−0.438161 + 0.898897i \(0.644370\pi\)
\(692\) 8.61097i 0.327340i
\(693\) 11.5438 + 4.49665i 0.438514 + 0.170814i
\(694\) 8.72467 0.331184
\(695\) −11.9312 + 12.5378i −0.452578 + 0.475585i
\(696\) 0.767250 2.36135i 0.0290825 0.0895068i
\(697\) 18.3600 5.96554i 0.695436 0.225961i
\(698\) 15.6650 + 21.5610i 0.592929 + 0.816096i
\(699\) −26.5383 + 19.2812i −1.00377 + 0.729281i
\(700\) −10.1060 + 0.501317i −0.381971 + 0.0189480i
\(701\) −4.72594 + 14.5450i −0.178496 + 0.549355i −0.999776 0.0211707i \(-0.993261\pi\)
0.821279 + 0.570526i \(0.193261\pi\)
\(702\) −12.2368 + 16.8425i −0.461847 + 0.635678i
\(703\) 20.7719i 0.783428i
\(704\) 22.4457 + 18.3601i 0.845956 + 0.691971i
\(705\) 3.34254 25.1179i 0.125887 0.945994i
\(706\) 41.7327 + 30.3206i 1.57063 + 1.14113i
\(707\) 13.9585 + 4.53539i 0.524964 + 0.170571i
\(708\) 52.8760 17.1805i 1.98720 0.645681i
\(709\) 34.7172 25.2235i 1.30383 0.947290i 0.303848 0.952721i \(-0.401729\pi\)
0.999985 + 0.00543044i \(0.00172857\pi\)
\(710\) 21.7020 11.7440i 0.814460 0.440743i
\(711\) 1.19986 + 3.69278i 0.0449982 + 0.138490i
\(712\) 2.23690 + 0.726814i 0.0838315 + 0.0272385i
\(713\) −0.827834 + 1.13942i −0.0310026 + 0.0426714i
\(714\) 17.0905 0.639598
\(715\) 32.9577 + 6.32421i 1.23255 + 0.236512i
\(716\) −34.1450 −1.27606
\(717\) −31.4039 + 43.2238i −1.17280 + 1.61422i
\(718\) 50.5682 + 16.4306i 1.88719 + 0.613184i
\(719\) −1.48738 4.57768i −0.0554699 0.170719i 0.919483 0.393129i \(-0.128607\pi\)
−0.974953 + 0.222411i \(0.928607\pi\)
\(720\) −15.6416 28.9045i −0.582929 1.07721i
\(721\) 7.61592 5.53329i 0.283632 0.206071i
\(722\) −15.8925 + 5.16378i −0.591457 + 0.192176i
\(723\) −56.8090 18.4584i −2.11275 0.686473i
\(724\) −9.40269 6.83146i −0.349448 0.253889i
\(725\) 23.7101 + 6.42417i 0.880571 + 0.238588i
\(726\) −50.8053 + 28.6686i −1.88556 + 1.06399i
\(727\) 21.8922i 0.811937i −0.913887 0.405969i \(-0.866934\pi\)
0.913887 0.405969i \(-0.133066\pi\)
\(728\) −0.495395 + 0.681853i −0.0183606 + 0.0252712i
\(729\) 12.2694 37.7614i 0.454423 1.39857i
\(730\) 6.38884 1.17487i 0.236461 0.0434839i
\(731\) −6.10627 + 4.43647i −0.225849 + 0.164089i
\(732\) −7.97464 10.9762i −0.294751 0.405690i
\(733\) −45.6788 + 14.8419i −1.68718 + 0.548199i −0.986284 0.165060i \(-0.947218\pi\)
−0.700901 + 0.713259i \(0.747218\pi\)
\(734\) 1.26242 3.88533i 0.0465968 0.143410i
\(735\) 25.7548 + 24.5089i 0.949979 + 0.904023i
\(736\) −27.1885 −1.00218
\(737\) −1.82312 + 31.7893i −0.0671554 + 1.17097i
\(738\) 45.2820i 1.66685i
\(739\) −27.5934 20.0478i −1.01504 0.737470i −0.0497805 0.998760i \(-0.515852\pi\)
−0.965260 + 0.261290i \(0.915852\pi\)
\(740\) 12.8205 26.7824i 0.471292 0.984542i
\(741\) 12.0106 + 36.9648i 0.441220 + 1.35794i
\(742\) −3.05671 4.20720i −0.112215 0.154451i
\(743\) −15.5411 21.3906i −0.570149 0.784743i 0.422423 0.906399i \(-0.361180\pi\)
−0.992572 + 0.121656i \(0.961180\pi\)
\(744\) 0.0653350 + 0.201080i 0.00239530 + 0.00737196i
\(745\) 34.0519 + 16.3003i 1.24756 + 0.597199i
\(746\) −14.5244 10.5526i −0.531777 0.386359i
\(747\) 28.6019i 1.04649i
\(748\) −14.6811 + 17.9481i −0.536794 + 0.656247i
\(749\) −7.38062 −0.269682
\(750\) −50.6843 + 30.7679i −1.85073 + 1.12348i
\(751\) 14.1963 43.6918i 0.518032 1.59434i −0.259666 0.965699i \(-0.583612\pi\)
0.777697 0.628639i \(-0.216388\pi\)
\(752\) 15.6292 5.07825i 0.569939 0.185185i
\(753\) −26.1132 35.9417i −0.951617 1.30979i
\(754\) 36.3977 26.4445i 1.32553 0.963052i
\(755\) 27.0119 4.96733i 0.983064 0.180780i
\(756\) −1.42168 + 4.37549i −0.0517061 + 0.159135i
\(757\) −18.1365 + 24.9628i −0.659183 + 0.907288i −0.999454 0.0330398i \(-0.989481\pi\)
0.340271 + 0.940327i \(0.389481\pi\)
\(758\) 42.6271i 1.54828i
\(759\) 10.6201 27.2640i 0.385485 0.989620i
\(760\) 1.40099 + 0.186436i 0.0508194 + 0.00676275i
\(761\) 11.4860 + 8.34507i 0.416367 + 0.302508i 0.776175 0.630518i \(-0.217158\pi\)
−0.359807 + 0.933027i \(0.617158\pi\)
\(762\) 35.7618 + 11.6197i 1.29551 + 0.420938i
\(763\) −9.05303 + 2.94151i −0.327742 + 0.106490i
\(764\) 36.9811 26.8684i 1.33793 0.972063i
\(765\) 25.3782 13.7334i 0.917550 0.496530i
\(766\) −16.2464 50.0012i −0.587005 1.80662i
\(767\) 43.5754 + 14.1585i 1.57342 + 0.511234i
\(768\) 22.1319 30.4620i 0.798617 1.09920i
\(769\) 30.0208 1.08258 0.541290 0.840836i \(-0.317936\pi\)
0.541290 + 0.840836i \(0.317936\pi\)
\(770\) 14.3828 1.80106i 0.518319 0.0649057i
\(771\) −12.4107 −0.446961
\(772\) 27.6846 38.1046i 0.996392 1.37142i
\(773\) 28.9401 + 9.40320i 1.04090 + 0.338209i 0.779092 0.626910i