Properties

Label 144.2.u.a.11.18
Level $144$
Weight $2$
Character 144.11
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.u (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(88\)
Relative dimension: \(22\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 11.18
Character \(\chi\) \(=\) 144.11
Dual form 144.2.u.a.131.18

$q$-expansion

\(f(q)\) \(=\) \(q+(1.21908 - 0.716836i) q^{2} +(-1.58764 - 0.692394i) q^{3} +(0.972292 - 1.74776i) q^{4} +(-2.83365 - 0.759273i) q^{5} +(-2.43178 + 0.293995i) q^{6} +(1.41719 - 2.45465i) q^{7} +(-0.0675573 - 2.82762i) q^{8} +(2.04118 + 2.19854i) q^{9} +O(q^{10})\) \(q+(1.21908 - 0.716836i) q^{2} +(-1.58764 - 0.692394i) q^{3} +(0.972292 - 1.74776i) q^{4} +(-2.83365 - 0.759273i) q^{5} +(-2.43178 + 0.293995i) q^{6} +(1.41719 - 2.45465i) q^{7} +(-0.0675573 - 2.82762i) q^{8} +(2.04118 + 2.19854i) q^{9} +(-3.99870 + 1.10565i) q^{10} +(0.794578 - 0.212907i) q^{11} +(-2.75378 + 2.10159i) q^{12} +(3.22468 + 0.864050i) q^{13} +(-0.0319166 - 4.00829i) q^{14} +(3.97308 + 3.16745i) q^{15} +(-2.10930 - 3.39866i) q^{16} +7.28589i q^{17} +(4.06435 + 1.21700i) q^{18} +(-0.951758 - 0.951758i) q^{19} +(-4.08215 + 4.21429i) q^{20} +(-3.94957 + 2.91583i) q^{21} +(0.816032 - 0.829132i) q^{22} +(5.13217 - 2.96306i) q^{23} +(-1.85057 + 4.53601i) q^{24} +(3.12293 + 1.80302i) q^{25} +(4.55051 - 1.25822i) q^{26} +(-1.71840 - 4.90379i) q^{27} +(-2.91220 - 4.86354i) q^{28} +(-1.76813 + 0.473770i) q^{29} +(7.11403 + 1.01331i) q^{30} +(2.05610 - 1.18709i) q^{31} +(-5.00767 - 2.63120i) q^{32} +(-1.40892 - 0.212143i) q^{33} +(5.22279 + 8.88205i) q^{34} +(-5.87957 + 5.87957i) q^{35} +(5.82713 - 1.42986i) q^{36} +(6.03704 + 6.03704i) q^{37} +(-1.84252 - 0.478011i) q^{38} +(-4.52135 - 3.60455i) q^{39} +(-1.95550 + 8.06377i) q^{40} +(-4.60866 - 7.98243i) q^{41} +(-2.72465 + 6.38581i) q^{42} +(0.402483 + 1.50209i) q^{43} +(0.400453 - 1.59574i) q^{44} +(-4.11469 - 7.77970i) q^{45} +(4.13248 - 7.29113i) q^{46} +(-2.85832 + 4.95075i) q^{47} +(0.995590 + 6.85630i) q^{48} +(-0.516861 - 0.895230i) q^{49} +(5.09956 - 0.0406059i) q^{50} +(5.04471 - 11.5674i) q^{51} +(4.64548 - 4.79584i) q^{52} +(4.50856 - 4.50856i) q^{53} +(-5.61007 - 4.74628i) q^{54} -2.41321 q^{55} +(-7.03655 - 3.84145i) q^{56} +(0.852054 + 2.17004i) q^{57} +(-1.81587 + 1.84502i) q^{58} +(-2.85508 + 10.6553i) q^{59} +(9.39892 - 3.86429i) q^{60} +(-2.16531 - 8.08106i) q^{61} +(1.65559 - 2.92104i) q^{62} +(8.28938 - 1.89463i) q^{63} +(-7.99087 + 0.382053i) q^{64} +(-8.48155 - 4.89682i) q^{65} +(-1.86965 + 0.751344i) q^{66} +(-2.99423 + 11.1746i) q^{67} +(12.7340 + 7.08401i) q^{68} +(-10.1996 + 1.15078i) q^{69} +(-2.95295 + 11.3823i) q^{70} -2.98978i q^{71} +(6.07874 - 5.92021i) q^{72} +12.7280i q^{73} +(11.6872 + 3.03204i) q^{74} +(-3.70967 - 5.02484i) q^{75} +(-2.58883 + 0.738054i) q^{76} +(0.603459 - 2.25214i) q^{77} +(-8.09574 - 1.15314i) q^{78} +(-8.94529 - 5.16457i) q^{79} +(3.39650 + 11.2321i) q^{80} +(-0.667162 + 8.97524i) q^{81} +(-11.3404 - 6.42753i) q^{82} +(-1.00404 - 3.74713i) q^{83} +(1.25603 + 9.73792i) q^{84} +(5.53198 - 20.6456i) q^{85} +(1.56741 + 1.54264i) q^{86} +(3.13519 + 0.472070i) q^{87} +(-0.655698 - 2.23238i) q^{88} +9.25017 q^{89} +(-10.5929 - 6.53448i) q^{90} +(6.69092 - 6.69092i) q^{91} +(-0.188738 - 11.8507i) q^{92} +(-4.08627 + 0.461036i) q^{93} +(0.0643721 + 8.08428i) q^{94} +(1.97430 + 3.41959i) q^{95} +(6.12854 + 7.64467i) q^{96} +(0.148868 - 0.257847i) q^{97} +(-1.27183 - 0.720848i) q^{98} +(2.08996 + 1.31233i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} + O(q^{10}) \) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} - 8q^{10} - 6q^{11} - 16q^{12} - 2q^{13} - 6q^{14} - 2q^{16} - 10q^{18} - 8q^{19} - 48q^{20} + 2q^{21} - 2q^{22} - 12q^{23} - 16q^{27} + 8q^{28} - 6q^{29} - 34q^{30} - 6q^{32} - 8q^{33} + 2q^{34} - 26q^{36} - 8q^{37} - 6q^{38} - 32q^{39} - 2q^{40} + 48q^{42} - 2q^{43} + 6q^{45} - 40q^{46} + 42q^{48} - 24q^{49} + 72q^{50} - 12q^{51} - 2q^{52} - 38q^{54} - 16q^{55} + 36q^{56} + 16q^{58} - 42q^{59} + 70q^{60} - 2q^{61} - 44q^{64} - 12q^{65} + 104q^{66} - 2q^{67} + 96q^{68} - 10q^{69} - 16q^{70} - 10q^{72} + 78q^{74} - 56q^{75} - 14q^{76} - 6q^{77} + 12q^{78} - 8q^{81} - 36q^{82} + 54q^{83} + 158q^{84} + 8q^{85} + 54q^{86} + 48q^{87} + 22q^{88} + 64q^{90} + 20q^{91} + 108q^{92} - 34q^{93} + 6q^{94} - 58q^{96} - 4q^{97} + 46q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.21908 0.716836i 0.862017 0.506880i
\(3\) −1.58764 0.692394i −0.916622 0.399754i
\(4\) 0.972292 1.74776i 0.486146 0.873878i
\(5\) −2.83365 0.759273i −1.26725 0.339557i −0.438270 0.898843i \(-0.644409\pi\)
−0.828975 + 0.559286i \(0.811075\pi\)
\(6\) −2.43178 + 0.293995i −0.992771 + 0.120023i
\(7\) 1.41719 2.45465i 0.535648 0.927769i −0.463484 0.886105i \(-0.653401\pi\)
0.999132 0.0416640i \(-0.0132659\pi\)
\(8\) −0.0675573 2.82762i −0.0238851 0.999715i
\(9\) 2.04118 + 2.19854i 0.680394 + 0.732847i
\(10\) −3.99870 + 1.10565i −1.26450 + 0.349637i
\(11\) 0.794578 0.212907i 0.239574 0.0641937i −0.137034 0.990566i \(-0.543757\pi\)
0.376608 + 0.926373i \(0.377090\pi\)
\(12\) −2.75378 + 2.10159i −0.794948 + 0.606677i
\(13\) 3.22468 + 0.864050i 0.894365 + 0.239644i 0.676595 0.736356i \(-0.263455\pi\)
0.217770 + 0.976000i \(0.430122\pi\)
\(14\) −0.0319166 4.00829i −0.00853006 1.07126i
\(15\) 3.97308 + 3.16745i 1.02585 + 0.817832i
\(16\) −2.10930 3.39866i −0.527325 0.849664i
\(17\) 7.28589i 1.76709i 0.468348 + 0.883544i \(0.344849\pi\)
−0.468348 + 0.883544i \(0.655151\pi\)
\(18\) 4.06435 + 1.21700i 0.957976 + 0.286849i
\(19\) −0.951758 0.951758i −0.218348 0.218348i 0.589454 0.807802i \(-0.299343\pi\)
−0.807802 + 0.589454i \(0.799343\pi\)
\(20\) −4.08215 + 4.21429i −0.912797 + 0.942343i
\(21\) −3.94957 + 2.91583i −0.861866 + 0.636287i
\(22\) 0.816032 0.829132i 0.173979 0.176771i
\(23\) 5.13217 2.96306i 1.07013 0.617841i 0.141915 0.989879i \(-0.454674\pi\)
0.928218 + 0.372038i \(0.121341\pi\)
\(24\) −1.85057 + 4.53601i −0.377746 + 0.925909i
\(25\) 3.12293 + 1.80302i 0.624585 + 0.360605i
\(26\) 4.55051 1.25822i 0.892428 0.246758i
\(27\) −1.71840 4.90379i −0.330706 0.943734i
\(28\) −2.91220 4.86354i −0.550354 0.919122i
\(29\) −1.76813 + 0.473770i −0.328334 + 0.0879768i −0.419221 0.907884i \(-0.637697\pi\)
0.0908866 + 0.995861i \(0.471030\pi\)
\(30\) 7.11403 + 1.01331i 1.29884 + 0.185004i
\(31\) 2.05610 1.18709i 0.369286 0.213207i −0.303860 0.952717i \(-0.598276\pi\)
0.673147 + 0.739509i \(0.264942\pi\)
\(32\) −5.00767 2.63120i −0.885240 0.465134i
\(33\) −1.40892 0.212143i −0.245261 0.0369293i
\(34\) 5.22279 + 8.88205i 0.895701 + 1.52326i
\(35\) −5.87957 + 5.87957i −0.993828 + 0.993828i
\(36\) 5.82713 1.42986i 0.971189 0.238310i
\(37\) 6.03704 + 6.03704i 0.992483 + 0.992483i 0.999972 0.00748933i \(-0.00238395\pi\)
−0.00748933 + 0.999972i \(0.502384\pi\)
\(38\) −1.84252 0.478011i −0.298896 0.0775436i
\(39\) −4.52135 3.60455i −0.723996 0.577189i
\(40\) −1.95550 + 8.06377i −0.309192 + 1.27499i
\(41\) −4.60866 7.98243i −0.719751 1.24665i −0.961098 0.276207i \(-0.910923\pi\)
0.241347 0.970439i \(-0.422411\pi\)
\(42\) −2.72465 + 6.38581i −0.420422 + 0.985353i
\(43\) 0.402483 + 1.50209i 0.0613780 + 0.229066i 0.989801 0.142460i \(-0.0455013\pi\)
−0.928423 + 0.371526i \(0.878835\pi\)
\(44\) 0.400453 1.59574i 0.0603706 0.240566i
\(45\) −4.11469 7.77970i −0.613382 1.15973i
\(46\) 4.13248 7.29113i 0.609301 1.07502i
\(47\) −2.85832 + 4.95075i −0.416928 + 0.722141i −0.995629 0.0933994i \(-0.970227\pi\)
0.578701 + 0.815540i \(0.303560\pi\)
\(48\) 0.995590 + 6.85630i 0.143701 + 0.989621i
\(49\) −0.516861 0.895230i −0.0738373 0.127890i
\(50\) 5.09956 0.0406059i 0.721186 0.00574254i
\(51\) 5.04471 11.5674i 0.706401 1.61975i
\(52\) 4.64548 4.79584i 0.644212 0.665063i
\(53\) 4.50856 4.50856i 0.619298 0.619298i −0.326053 0.945351i \(-0.605719\pi\)
0.945351 + 0.326053i \(0.105719\pi\)
\(54\) −5.61007 4.74628i −0.763433 0.645886i
\(55\) −2.41321 −0.325397
\(56\) −7.03655 3.84145i −0.940299 0.513335i
\(57\) 0.852054 + 2.17004i 0.112857 + 0.287429i
\(58\) −1.81587 + 1.84502i −0.238436 + 0.242263i
\(59\) −2.85508 + 10.6553i −0.371700 + 1.38720i 0.486407 + 0.873732i \(0.338307\pi\)
−0.858107 + 0.513471i \(0.828360\pi\)
\(60\) 9.39892 3.86429i 1.21340 0.498878i
\(61\) −2.16531 8.08106i −0.277240 1.03467i −0.954325 0.298769i \(-0.903424\pi\)
0.677086 0.735904i \(-0.263243\pi\)
\(62\) 1.65559 2.92104i 0.210260 0.370972i
\(63\) 8.28938 1.89463i 1.04436 0.238700i
\(64\) −7.99087 + 0.382053i −0.998859 + 0.0477566i
\(65\) −8.48155 4.89682i −1.05201 0.607376i
\(66\) −1.86965 + 0.751344i −0.230138 + 0.0924841i
\(67\) −2.99423 + 11.1746i −0.365804 + 1.36520i 0.500524 + 0.865723i \(0.333141\pi\)
−0.866328 + 0.499476i \(0.833526\pi\)
\(68\) 12.7340 + 7.08401i 1.54422 + 0.859063i
\(69\) −10.1996 + 1.15078i −1.22789 + 0.138538i
\(70\) −2.95295 + 11.3823i −0.352945 + 1.36045i
\(71\) 2.98978i 0.354821i −0.984137 0.177411i \(-0.943228\pi\)
0.984137 0.177411i \(-0.0567721\pi\)
\(72\) 6.07874 5.92021i 0.716387 0.697704i
\(73\) 12.7280i 1.48970i 0.667229 + 0.744852i \(0.267480\pi\)
−0.667229 + 0.744852i \(0.732520\pi\)
\(74\) 11.6872 + 3.03204i 1.35861 + 0.352467i
\(75\) −3.70967 5.02484i −0.428356 0.580219i
\(76\) −2.58883 + 0.738054i −0.296959 + 0.0846606i
\(77\) 0.603459 2.25214i 0.0687705 0.256655i
\(78\) −8.09574 1.15314i −0.916662 0.130568i
\(79\) −8.94529 5.16457i −1.00642 0.581059i −0.0962815 0.995354i \(-0.530695\pi\)
−0.910143 + 0.414295i \(0.864028\pi\)
\(80\) 3.39650 + 11.2321i 0.379740 + 1.25579i
\(81\) −0.667162 + 8.97524i −0.0741291 + 0.997249i
\(82\) −11.3404 6.42753i −1.25234 0.709802i
\(83\) −1.00404 3.74713i −0.110208 0.411301i 0.888676 0.458536i \(-0.151626\pi\)
−0.998884 + 0.0472343i \(0.984959\pi\)
\(84\) 1.25603 + 9.73792i 0.137044 + 1.06249i
\(85\) 5.53198 20.6456i 0.600028 2.23933i
\(86\) 1.56741 + 1.54264i 0.169018 + 0.166347i
\(87\) 3.13519 + 0.472070i 0.336127 + 0.0506113i
\(88\) −0.655698 2.23238i −0.0698977 0.237973i
\(89\) 9.25017 0.980516 0.490258 0.871577i \(-0.336903\pi\)
0.490258 + 0.871577i \(0.336903\pi\)
\(90\) −10.5929 6.53448i −1.11659 0.688795i
\(91\) 6.69092 6.69092i 0.701399 0.701399i
\(92\) −0.188738 11.8507i −0.0196773 1.23553i
\(93\) −4.08627 + 0.461036i −0.423727 + 0.0478072i
\(94\) 0.0643721 + 8.08428i 0.00663948 + 0.833830i
\(95\) 1.97430 + 3.41959i 0.202559 + 0.350843i
\(96\) 6.12854 + 7.64467i 0.625492 + 0.780231i
\(97\) 0.148868 0.257847i 0.0151153 0.0261804i −0.858369 0.513033i \(-0.828522\pi\)
0.873484 + 0.486853i \(0.161855\pi\)
\(98\) −1.27183 0.720848i −0.128474 0.0728167i
\(99\) 2.08996 + 1.31233i 0.210049 + 0.131894i
\(100\) 6.18764 3.70505i 0.618764 0.370505i
\(101\) 2.11843 + 7.90610i 0.210792 + 0.786687i 0.987606 + 0.156956i \(0.0501681\pi\)
−0.776814 + 0.629731i \(0.783165\pi\)
\(102\) −2.14201 17.7177i −0.212091 1.75431i
\(103\) −5.72414 9.91450i −0.564016 0.976905i −0.997140 0.0755707i \(-0.975922\pi\)
0.433124 0.901334i \(-0.357411\pi\)
\(104\) 2.22535 9.17654i 0.218214 0.899834i
\(105\) 13.4056 5.26364i 1.30825 0.513678i
\(106\) 2.26438 8.72817i 0.219936 0.847755i
\(107\) −0.174948 0.174948i −0.0169128 0.0169128i 0.698600 0.715513i \(-0.253807\pi\)
−0.715513 + 0.698600i \(0.753807\pi\)
\(108\) −10.2414 1.76457i −0.985479 0.169796i
\(109\) 1.50900 1.50900i 0.144536 0.144536i −0.631136 0.775672i \(-0.717411\pi\)
0.775672 + 0.631136i \(0.217411\pi\)
\(110\) −2.94188 + 1.72987i −0.280498 + 0.164937i
\(111\) −5.40461 13.7646i −0.512983 1.30648i
\(112\) −11.3318 + 0.361037i −1.07075 + 0.0341148i
\(113\) −0.513633 + 0.296546i −0.0483185 + 0.0278967i −0.523965 0.851740i \(-0.675548\pi\)
0.475646 + 0.879637i \(0.342214\pi\)
\(114\) 2.59428 + 2.03466i 0.242977 + 0.190563i
\(115\) −16.7925 + 4.49955i −1.56591 + 0.419585i
\(116\) −0.891107 + 3.55090i −0.0827372 + 0.329693i
\(117\) 4.68250 + 8.85327i 0.432898 + 0.818485i
\(118\) 4.15755 + 15.0363i 0.382734 + 1.38420i
\(119\) 17.8843 + 10.3255i 1.63945 + 0.946537i
\(120\) 8.68793 11.4484i 0.793096 1.04509i
\(121\) −8.94025 + 5.16166i −0.812750 + 0.469242i
\(122\) −8.43247 8.29925i −0.763440 0.751378i
\(123\) 1.78989 + 15.8642i 0.161389 + 1.43043i
\(124\) −0.0756140 4.74775i −0.00679034 0.426361i
\(125\) 2.89158 + 2.89158i 0.258631 + 0.258631i
\(126\) 8.74725 8.25182i 0.779267 0.735131i
\(127\) 14.1816i 1.25841i 0.777240 + 0.629205i \(0.216619\pi\)
−0.777240 + 0.629205i \(0.783381\pi\)
\(128\) −9.46761 + 6.19390i −0.836826 + 0.547468i
\(129\) 0.401039 2.66344i 0.0353095 0.234503i
\(130\) −13.8499 + 0.110281i −1.21471 + 0.00967232i
\(131\) 3.86197 + 1.03481i 0.337422 + 0.0904119i 0.423551 0.905872i \(-0.360783\pi\)
−0.0861298 + 0.996284i \(0.527450\pi\)
\(132\) −1.74065 + 2.25618i −0.151504 + 0.196375i
\(133\) −3.68505 + 0.987407i −0.319535 + 0.0856190i
\(134\) 4.36018 + 15.7691i 0.376662 + 1.36224i
\(135\) 1.14602 + 15.2003i 0.0986333 + 1.30824i
\(136\) 20.6017 0.492215i 1.76658 0.0422071i
\(137\) 3.98207 6.89714i 0.340211 0.589262i −0.644261 0.764806i \(-0.722835\pi\)
0.984472 + 0.175543i \(0.0561682\pi\)
\(138\) −11.6092 + 8.71436i −0.988241 + 0.741815i
\(139\) 10.3155 + 2.76404i 0.874952 + 0.234443i 0.668228 0.743957i \(-0.267053\pi\)
0.206724 + 0.978399i \(0.433720\pi\)
\(140\) 4.55939 + 15.9927i 0.385339 + 1.35163i
\(141\) 7.96583 5.88091i 0.670844 0.495262i
\(142\) −2.14318 3.64476i −0.179852 0.305862i
\(143\) 2.74622 0.229651
\(144\) 3.16662 11.5746i 0.263885 0.964554i
\(145\) 5.36998 0.445953
\(146\) 9.12392 + 15.5164i 0.755101 + 1.28415i
\(147\) 0.200736 + 1.77917i 0.0165564 + 0.146744i
\(148\) 16.4210 4.68150i 1.34980 0.384817i
\(149\) 4.24117 + 1.13642i 0.347450 + 0.0930990i 0.428324 0.903625i \(-0.359104\pi\)
−0.0808734 + 0.996724i \(0.525771\pi\)
\(150\) −8.12436 3.46644i −0.663351 0.283033i
\(151\) −6.93783 + 12.0167i −0.564592 + 0.977903i 0.432495 + 0.901636i \(0.357633\pi\)
−0.997087 + 0.0762664i \(0.975700\pi\)
\(152\) −2.62691 + 2.75551i −0.213071 + 0.223501i
\(153\) −16.0183 + 14.8718i −1.29501 + 1.20232i
\(154\) −0.878752 3.17811i −0.0708119 0.256099i
\(155\) −6.72758 + 1.80265i −0.540372 + 0.144792i
\(156\) −10.6959 + 4.39755i −0.856361 + 0.352086i
\(157\) 6.01560 + 1.61187i 0.480097 + 0.128642i 0.490748 0.871302i \(-0.336724\pi\)
−0.0106509 + 0.999943i \(0.503390\pi\)
\(158\) −14.6071 + 0.116311i −1.16208 + 0.00925323i
\(159\) −10.2797 + 4.03625i −0.815229 + 0.320096i
\(160\) 12.1922 + 11.2581i 0.963876 + 0.890029i
\(161\) 16.7969i 1.32378i
\(162\) 5.62045 + 11.4197i 0.441585 + 0.897220i
\(163\) 3.39010 + 3.39010i 0.265533 + 0.265533i 0.827297 0.561764i \(-0.189877\pi\)
−0.561764 + 0.827297i \(0.689877\pi\)
\(164\) −18.4323 + 0.293558i −1.43932 + 0.0229230i
\(165\) 3.83130 + 1.67089i 0.298266 + 0.130079i
\(166\) −3.91008 3.84831i −0.303481 0.298687i
\(167\) 8.58610 4.95718i 0.664412 0.383598i −0.129544 0.991574i \(-0.541351\pi\)
0.793956 + 0.607975i \(0.208018\pi\)
\(168\) 8.51169 + 10.9709i 0.656691 + 0.846423i
\(169\) −1.60636 0.927433i −0.123566 0.0713410i
\(170\) −8.05564 29.1341i −0.617839 2.23449i
\(171\) 0.149769 4.03519i 0.0114531 0.308579i
\(172\) 3.01661 + 0.757024i 0.230014 + 0.0577225i
\(173\) −7.25249 + 1.94330i −0.551396 + 0.147746i −0.523751 0.851872i \(-0.675468\pi\)
−0.0276457 + 0.999618i \(0.508801\pi\)
\(174\) 4.16043 1.67193i 0.315401 0.126748i
\(175\) 8.85157 5.11046i 0.669116 0.386314i
\(176\) −2.39960 2.25141i −0.180877 0.169707i
\(177\) 11.9105 14.9399i 0.895248 1.12295i
\(178\) 11.2767 6.63086i 0.845221 0.497004i
\(179\) −0.604756 + 0.604756i −0.0452016 + 0.0452016i −0.729346 0.684145i \(-0.760176\pi\)
0.684145 + 0.729346i \(0.260176\pi\)
\(180\) −17.5977 0.372664i −1.31165 0.0277767i
\(181\) −10.1716 10.1716i −0.756048 0.756048i 0.219553 0.975601i \(-0.429540\pi\)
−0.975601 + 0.219553i \(0.929540\pi\)
\(182\) 3.36045 12.9530i 0.249093 0.960143i
\(183\) −2.15755 + 14.3290i −0.159490 + 1.05923i
\(184\) −8.72513 14.3117i −0.643225 1.05507i
\(185\) −12.5231 21.6906i −0.920714 1.59472i
\(186\) −4.65099 + 3.49122i −0.341027 + 0.255989i
\(187\) 1.55121 + 5.78921i 0.113436 + 0.423349i
\(188\) 5.87358 + 9.80921i 0.428375 + 0.715410i
\(189\) −14.4724 2.73154i −1.05271 0.198691i
\(190\) 4.85811 + 2.75349i 0.352444 + 0.199759i
\(191\) 5.80282 10.0508i 0.419877 0.727249i −0.576049 0.817415i \(-0.695406\pi\)
0.995927 + 0.0901660i \(0.0287398\pi\)
\(192\) 12.9511 + 4.92627i 0.934668 + 0.355523i
\(193\) 5.09572 + 8.82605i 0.366798 + 0.635313i 0.989063 0.147494i \(-0.0471206\pi\)
−0.622265 + 0.782807i \(0.713787\pi\)
\(194\) −0.00335266 0.421049i −0.000240707 0.0302296i
\(195\) 10.0751 + 13.6470i 0.721492 + 0.977278i
\(196\) −2.06718 + 0.0329225i −0.147656 + 0.00235161i
\(197\) 4.32430 4.32430i 0.308094 0.308094i −0.536076 0.844170i \(-0.680094\pi\)
0.844170 + 0.536076i \(0.180094\pi\)
\(198\) 3.48855 + 0.101672i 0.247920 + 0.00722549i
\(199\) −27.7260 −1.96544 −0.982720 0.185097i \(-0.940740\pi\)
−0.982720 + 0.185097i \(0.940740\pi\)
\(200\) 4.88729 8.95226i 0.345583 0.633020i
\(201\) 12.4910 15.6681i 0.881047 1.10514i
\(202\) 8.24991 + 8.11957i 0.580462 + 0.571291i
\(203\) −1.34284 + 5.01156i −0.0942492 + 0.351743i
\(204\) −15.3120 20.0638i −1.07205 1.40474i
\(205\) 6.99846 + 26.1186i 0.488793 + 1.82420i
\(206\) −14.0852 7.98326i −0.981365 0.556220i
\(207\) 16.9901 + 5.23515i 1.18089 + 0.363868i
\(208\) −3.86520 12.7821i −0.268003 0.886280i
\(209\) −0.958882 0.553611i −0.0663272 0.0382940i
\(210\) 12.5693 16.0264i 0.867362 1.10593i
\(211\) 5.10152 19.0391i 0.351203 1.31071i −0.533993 0.845489i \(-0.679309\pi\)
0.885196 0.465219i \(-0.154024\pi\)
\(212\) −3.49622 12.2635i −0.240122 0.842260i
\(213\) −2.07010 + 4.74668i −0.141841 + 0.325237i
\(214\) −0.338683 0.0878656i −0.0231519 0.00600637i
\(215\) 4.56197i 0.311124i
\(216\) −13.7500 + 5.19026i −0.935566 + 0.353152i
\(217\) 6.72933i 0.456817i
\(218\) 0.757881 2.92130i 0.0513302 0.197855i
\(219\) 8.81282 20.2075i 0.595515 1.36550i
\(220\) −2.34634 + 4.21770i −0.158190 + 0.284357i
\(221\) −6.29538 + 23.4947i −0.423473 + 1.58042i
\(222\) −16.4556 12.9059i −1.10443 0.866188i
\(223\) −10.9074 6.29741i −0.730416 0.421706i 0.0881582 0.996106i \(-0.471902\pi\)
−0.818574 + 0.574401i \(0.805235\pi\)
\(224\) −13.5555 + 8.56316i −0.905714 + 0.572150i
\(225\) 2.41044 + 10.5462i 0.160696 + 0.703079i
\(226\) −0.413582 + 0.729702i −0.0275111 + 0.0485391i
\(227\) −3.12014 11.6445i −0.207091 0.772874i −0.988802 0.149233i \(-0.952320\pi\)
0.781711 0.623641i \(-0.214347\pi\)
\(228\) 4.62114 + 0.620727i 0.306043 + 0.0411086i
\(229\) 1.46608 5.47149i 0.0968814 0.361566i −0.900417 0.435029i \(-0.856738\pi\)
0.997298 + 0.0734624i \(0.0234049\pi\)
\(230\) −17.2459 + 17.5228i −1.13716 + 1.15542i
\(231\) −2.51744 + 3.15775i −0.165635 + 0.207764i
\(232\) 1.45909 + 4.96760i 0.0957940 + 0.326139i
\(233\) −10.1291 −0.663580 −0.331790 0.943353i \(-0.607653\pi\)
−0.331790 + 0.943353i \(0.607653\pi\)
\(234\) 12.0547 + 7.43622i 0.788038 + 0.486121i
\(235\) 11.8584 11.8584i 0.773558 0.773558i
\(236\) 15.8469 + 15.3501i 1.03155 + 0.999203i
\(237\) 10.6260 + 14.3931i 0.690230 + 0.934934i
\(238\) 29.2040 0.232541i 1.89301 0.0150734i
\(239\) −0.263562 0.456503i −0.0170484 0.0295287i 0.857375 0.514692i \(-0.172094\pi\)
−0.874424 + 0.485163i \(0.838760\pi\)
\(240\) 2.38465 20.1842i 0.153929 1.30289i
\(241\) 9.74338 16.8760i 0.627626 1.08708i −0.360400 0.932798i \(-0.617360\pi\)
0.988027 0.154283i \(-0.0493068\pi\)
\(242\) −7.19878 + 12.7012i −0.462755 + 0.816461i
\(243\) 7.27361 13.7875i 0.466603 0.884467i
\(244\) −16.2290 4.07271i −1.03896 0.260728i
\(245\) 0.784878 + 2.92920i 0.0501440 + 0.187140i
\(246\) 13.5540 + 18.0566i 0.864174 + 1.15125i
\(247\) −2.24675 3.89148i −0.142957 0.247609i
\(248\) −3.49554 5.73367i −0.221967 0.364088i
\(249\) −1.00044 + 6.64428i −0.0634003 + 0.421064i
\(250\) 5.59785 + 1.45227i 0.354039 + 0.0918494i
\(251\) −17.9199 17.9199i −1.13110 1.13110i −0.989995 0.141101i \(-0.954936\pi\)
−0.141101 0.989995i \(-0.545064\pi\)
\(252\) 4.74836 16.3299i 0.299118 1.02869i
\(253\) 3.44706 3.44706i 0.216715 0.216715i
\(254\) 10.1659 + 17.2884i 0.637862 + 1.08477i
\(255\) −23.0777 + 28.9475i −1.44518 + 1.81276i
\(256\) −7.10172 + 14.3376i −0.443858 + 0.896097i
\(257\) 14.6152 8.43809i 0.911671 0.526353i 0.0307025 0.999529i \(-0.490226\pi\)
0.880968 + 0.473175i \(0.156892\pi\)
\(258\) −1.42036 3.53442i −0.0884275 0.220043i
\(259\) 23.3744 6.26316i 1.45242 0.389174i
\(260\) −16.8050 + 10.0625i −1.04220 + 0.624052i
\(261\) −4.65068 2.92026i −0.287870 0.180760i
\(262\) 5.44982 1.50688i 0.336691 0.0930957i
\(263\) −18.8065 10.8579i −1.15966 0.669528i −0.208435 0.978036i \(-0.566837\pi\)
−0.951222 + 0.308508i \(0.900170\pi\)
\(264\) −0.504677 + 3.99821i −0.0310607 + 0.246073i
\(265\) −16.1989 + 9.35243i −0.995090 + 0.574515i
\(266\) −3.78455 + 3.84530i −0.232046 + 0.235771i
\(267\) −14.6859 6.40476i −0.898763 0.391965i
\(268\) 16.6193 + 16.0982i 1.01518 + 0.983353i
\(269\) 3.50729 + 3.50729i 0.213843 + 0.213843i 0.805898 0.592055i \(-0.201683\pi\)
−0.592055 + 0.805898i \(0.701683\pi\)
\(270\) 12.2932 + 17.7088i 0.748142 + 1.07773i
\(271\) 2.25749i 0.137133i −0.997647 0.0685665i \(-0.978157\pi\)
0.997647 0.0685665i \(-0.0218425\pi\)
\(272\) 24.7622 15.3681i 1.50143 0.931829i
\(273\) −15.2555 + 5.99000i −0.923306 + 0.362531i
\(274\) −0.0896801 11.2626i −0.00541777 0.680400i
\(275\) 2.86529 + 0.767751i 0.172783 + 0.0462971i
\(276\) −7.90574 + 18.9454i −0.475870 + 1.14038i
\(277\) −17.7581 + 4.75826i −1.06698 + 0.285896i −0.749251 0.662286i \(-0.769586\pi\)
−0.317727 + 0.948182i \(0.602920\pi\)
\(278\) 14.5568 4.02498i 0.873058 0.241402i
\(279\) 6.80673 + 2.09735i 0.407508 + 0.125565i
\(280\) 17.0224 + 16.2280i 1.01728 + 0.969807i
\(281\) −4.38270 + 7.59106i −0.261450 + 0.452845i −0.966627 0.256186i \(-0.917534\pi\)
0.705177 + 0.709031i \(0.250867\pi\)
\(282\) 5.49531 12.8795i 0.327241 0.766961i
\(283\) −15.6177 4.18474i −0.928375 0.248757i −0.237213 0.971458i \(-0.576234\pi\)
−0.691161 + 0.722700i \(0.742901\pi\)
\(284\) −5.22540 2.90693i −0.310070 0.172495i
\(285\) −0.766769 6.79606i −0.0454195 0.402564i
\(286\) 3.34785 1.96859i 0.197963 0.116405i
\(287\) −26.1254 −1.54213
\(288\) −4.43677 16.3803i −0.261439 0.965220i
\(289\) −36.0842 −2.12260
\(290\) 6.54641 3.84940i 0.384419 0.226044i
\(291\) −0.414880 + 0.306292i −0.0243207 + 0.0179552i
\(292\) 22.2455 + 12.3754i 1.30182 + 0.724214i
\(293\) 12.1120 + 3.24540i 0.707589 + 0.189598i 0.594628 0.804001i \(-0.297300\pi\)
0.112962 + 0.993599i \(0.463966\pi\)
\(294\) 1.52009 + 2.02505i 0.0886533 + 0.118103i
\(295\) 16.1806 28.0256i 0.942070 1.63171i
\(296\) 16.6626 17.4783i 0.968494 1.01591i
\(297\) −2.40945 3.53058i −0.139810 0.204865i
\(298\) 5.98494 1.65485i 0.346698 0.0958626i
\(299\) 19.1098 5.12047i 1.10515 0.296124i
\(300\) −12.3891 + 1.59799i −0.715284 + 0.0922598i
\(301\) 4.25749 + 1.14079i 0.245397 + 0.0657540i
\(302\) 0.156247 + 19.6225i 0.00899099 + 1.12915i
\(303\) 2.11084 14.0188i 0.121264 0.805360i
\(304\) −1.22716 + 5.24224i −0.0703823 + 0.300663i
\(305\) 24.5429i 1.40532i
\(306\) −8.86690 + 29.6124i −0.506887 + 1.69283i
\(307\) 18.9168 + 18.9168i 1.07964 + 1.07964i 0.996542 + 0.0830950i \(0.0264805\pi\)
0.0830950 + 0.996542i \(0.473519\pi\)
\(308\) −3.34945 3.24443i −0.190853 0.184869i
\(309\) 2.22311 + 19.7040i 0.126468 + 1.12092i
\(310\) −6.90923 + 7.02014i −0.392418 + 0.398717i
\(311\) −5.08666 + 2.93678i −0.288438 + 0.166530i −0.637237 0.770668i \(-0.719923\pi\)
0.348799 + 0.937197i \(0.386589\pi\)
\(312\) −9.88684 + 13.0282i −0.559732 + 0.737576i
\(313\) −14.3490 8.28438i −0.811051 0.468261i 0.0362694 0.999342i \(-0.488453\pi\)
−0.847321 + 0.531081i \(0.821786\pi\)
\(314\) 8.48892 2.34720i 0.479057 0.132460i
\(315\) −24.9277 0.925208i −1.40452 0.0521296i
\(316\) −17.7238 + 10.6127i −0.997044 + 0.597012i
\(317\) −6.73750 + 1.80531i −0.378416 + 0.101396i −0.443013 0.896515i \(-0.646090\pi\)
0.0645973 + 0.997911i \(0.479424\pi\)
\(318\) −9.63834 + 12.2893i −0.540491 + 0.689151i
\(319\) −1.30405 + 0.752894i −0.0730128 + 0.0421540i
\(320\) 22.9334 + 4.98465i 1.28202 + 0.278651i
\(321\) 0.156621 + 0.398886i 0.00874171 + 0.0222636i
\(322\) −12.0406 20.4767i −0.670998 1.14112i
\(323\) 6.93441 6.93441i 0.385841 0.385841i
\(324\) 15.0378 + 9.89258i 0.835436 + 0.549588i
\(325\) 8.51253 + 8.51253i 0.472190 + 0.472190i
\(326\) 6.56293 + 1.70264i 0.363487 + 0.0943006i
\(327\) −3.44058 + 1.35092i −0.190264 + 0.0747063i
\(328\) −22.2599 + 13.5708i −1.22910 + 0.749322i
\(329\) 8.10156 + 14.0323i 0.446653 + 0.773626i
\(330\) 5.86840 0.709470i 0.323045 0.0390550i
\(331\) 5.83736 + 21.7853i 0.320850 + 1.19743i 0.918418 + 0.395612i \(0.129467\pi\)
−0.597567 + 0.801819i \(0.703866\pi\)
\(332\) −7.52530 1.88849i −0.413004 0.103644i
\(333\) −0.949988 + 25.5954i −0.0520590 + 1.40262i
\(334\) 6.91361 12.1980i 0.378296 0.667445i
\(335\) 16.9692 29.3915i 0.927126 1.60583i
\(336\) 18.2407 + 7.27286i 0.995113 + 0.396767i
\(337\) 5.04210 + 8.73317i 0.274661 + 0.475726i 0.970049 0.242908i \(-0.0781012\pi\)
−0.695389 + 0.718634i \(0.744768\pi\)
\(338\) −2.62309 + 0.0208867i −0.142677 + 0.00113609i
\(339\) 1.02079 0.115171i 0.0554416 0.00625523i
\(340\) −30.7048 29.7421i −1.66520 1.61299i
\(341\) 1.38099 1.38099i 0.0747849 0.0747849i
\(342\) −2.70999 5.02656i −0.146540 0.271805i
\(343\) 16.9107 0.913093
\(344\) 4.22014 1.23954i 0.227535 0.0668318i
\(345\) 29.7759 + 4.48341i 1.60308 + 0.241379i
\(346\) −7.44831 + 7.56787i −0.400423 + 0.406851i
\(347\) −7.70540 + 28.7569i −0.413647 + 1.54375i 0.373882 + 0.927476i \(0.378026\pi\)
−0.787530 + 0.616277i \(0.788640\pi\)
\(348\) 3.87338 5.02055i 0.207635 0.269130i
\(349\) −2.31845 8.65259i −0.124104 0.463163i 0.875702 0.482852i \(-0.160399\pi\)
−0.999806 + 0.0196892i \(0.993732\pi\)
\(350\) 7.12737 12.5752i 0.380974 0.672171i
\(351\) −1.30416 17.2979i −0.0696110 0.923294i
\(352\) −4.53919 1.02453i −0.241939 0.0546074i
\(353\) 28.1794 + 16.2694i 1.49984 + 0.865933i 1.00000 0.000184008i \(-5.85715e-5\pi\)
0.499841 + 0.866117i \(0.333392\pi\)
\(354\) 3.81033 26.7508i 0.202517 1.42179i
\(355\) −2.27006 + 8.47197i −0.120482 + 0.449645i
\(356\) 8.99386 16.1670i 0.476674 0.856851i
\(357\) −21.2444 28.7761i −1.12438 1.52299i
\(358\) −0.303732 + 1.17075i −0.0160528 + 0.0618763i
\(359\) 0.581843i 0.0307085i −0.999882 0.0153542i \(-0.995112\pi\)
0.999882 0.0153542i \(-0.00488760\pi\)
\(360\) −21.7201 + 12.1604i −1.14475 + 0.640907i
\(361\) 17.1883i 0.904648i
\(362\) −19.6913 5.10857i −1.03495 0.268500i
\(363\) 17.7678 2.00466i 0.932566 0.105217i
\(364\) −5.18857 18.1996i −0.271955 0.953920i
\(365\) 9.66406 36.0668i 0.505840 1.88782i
\(366\) 7.64136 + 19.0148i 0.399420 + 0.993919i
\(367\) 3.68240 + 2.12603i 0.192220 + 0.110978i 0.593021 0.805187i \(-0.297935\pi\)
−0.400802 + 0.916165i \(0.631268\pi\)
\(368\) −20.8957 11.1925i −1.08926 0.583450i
\(369\) 8.14259 26.4259i 0.423886 1.37568i
\(370\) −30.8152 17.4655i −1.60200 0.907987i
\(371\) −4.67743 17.4564i −0.242840 0.906291i
\(372\) −3.16727 + 7.59006i −0.164215 + 0.393526i
\(373\) −1.61385 + 6.02298i −0.0835621 + 0.311858i −0.995038 0.0994955i \(-0.968277\pi\)
0.911476 + 0.411353i \(0.134944\pi\)
\(374\) 6.04096 + 5.94552i 0.312371 + 0.307436i
\(375\) −2.58867 6.59289i −0.133678 0.340456i
\(376\) 14.1919 + 7.74777i 0.731893 + 0.399561i
\(377\) −6.11102 −0.314733
\(378\) −19.6010 + 7.04435i −1.00817 + 0.362322i
\(379\) −8.99791 + 8.99791i −0.462192 + 0.462192i −0.899373 0.437182i \(-0.855977\pi\)
0.437182 + 0.899373i \(0.355977\pi\)
\(380\) 7.89620 0.125757i 0.405067 0.00645120i
\(381\) 9.81923 22.5152i 0.503054 1.15349i
\(382\) −0.130685 16.4123i −0.00668644 0.839728i
\(383\) 4.35960 + 7.55105i 0.222765 + 0.385840i 0.955647 0.294516i \(-0.0951584\pi\)
−0.732882 + 0.680356i \(0.761825\pi\)
\(384\) 19.3197 3.27834i 0.985907 0.167297i
\(385\) −3.41998 + 5.92357i −0.174298 + 0.301893i
\(386\) 12.5389 + 7.10683i 0.638213 + 0.361728i
\(387\) −2.48086 + 3.95090i −0.126109 + 0.200836i
\(388\) −0.305910 0.510887i −0.0155302 0.0259364i
\(389\) 7.20893 + 26.9041i 0.365507 + 1.36409i 0.866732 + 0.498774i \(0.166216\pi\)
−0.501225 + 0.865317i \(0.667117\pi\)
\(390\) 22.0649 + 9.41448i 1.11730 + 0.476721i
\(391\) 21.5886 + 37.3925i 1.09178 + 1.89102i
\(392\) −2.49645 + 1.52197i −0.126090 + 0.0768709i
\(393\) −5.41490 4.31691i −0.273146 0.217759i
\(394\) 2.17183 8.37146i 0.109415 0.421748i
\(395\) 21.4265 + 21.4265i 1.07808 + 1.07808i
\(396\) 4.32569 2.37677i 0.217374 0.119437i
\(397\) 3.82319 3.82319i 0.191880 0.191880i −0.604628 0.796508i \(-0.706678\pi\)
0.796508 + 0.604628i \(0.206678\pi\)
\(398\) −33.8000 + 19.8750i −1.69424 + 0.996242i
\(399\) 6.53420 + 0.983866i 0.327119 + 0.0492549i
\(400\) −0.459330 14.4169i −0.0229665 0.720843i
\(401\) −24.9442 + 14.4015i −1.24565 + 0.719178i −0.970239 0.242148i \(-0.922148\pi\)
−0.275414 + 0.961326i \(0.588815\pi\)
\(402\) 3.99604 28.0546i 0.199305 1.39923i
\(403\) 7.65596 2.05141i 0.381371 0.102188i
\(404\) 15.8777 + 3.98453i 0.789944 + 0.198238i
\(405\) 8.70516 24.9261i 0.432563 1.23859i
\(406\) 1.95544 + 7.07207i 0.0970469 + 0.350981i
\(407\) 6.08222 + 3.51157i 0.301485 + 0.174062i
\(408\) −33.0489 13.4831i −1.63616 0.667511i
\(409\) 9.11179 5.26069i 0.450549 0.260125i −0.257513 0.966275i \(-0.582903\pi\)
0.708062 + 0.706150i \(0.249570\pi\)
\(410\) 27.2544 + 26.8238i 1.34600 + 1.32473i
\(411\) −11.0976 + 8.19299i −0.547405 + 0.404131i
\(412\) −22.8937 + 0.364611i −1.12789 + 0.0179631i
\(413\) 22.1088 + 22.1088i 1.08790 + 1.08790i
\(414\) 24.4650 5.79708i 1.20239 0.284911i
\(415\) 11.3804i 0.558642i
\(416\) −13.8747 12.8116i −0.680261 0.628143i
\(417\) −14.4635 11.5307i −0.708281 0.564661i
\(418\) −1.56580 + 0.0124679i −0.0765857 + 0.000609823i
\(419\) −12.4024 3.32320i −0.605895 0.162349i −0.0571875 0.998363i \(-0.518213\pi\)
−0.548708 + 0.836014i \(0.684880\pi\)
\(420\) 3.83459 28.5475i 0.187109 1.39297i
\(421\) −9.21476 + 2.46909i −0.449100 + 0.120336i −0.476278 0.879295i \(-0.658015\pi\)
0.0271782 + 0.999631i \(0.491348\pi\)
\(422\) −7.42880 26.8671i −0.361628 1.30787i
\(423\) −16.7188 + 3.82125i −0.812894 + 0.185795i
\(424\) −13.0531 12.4439i −0.633913 0.604329i
\(425\) −13.1366 + 22.7533i −0.637220 + 1.10370i
\(426\) 0.878978 + 7.27049i 0.0425866 + 0.352256i
\(427\) −22.9048 6.13732i −1.10844 0.297006i
\(428\) −0.475866 + 0.135666i −0.0230018 + 0.00655764i
\(429\) −4.36000 1.90147i −0.210503 0.0918037i
\(430\) −3.27019 5.56139i −0.157702 0.268194i
\(431\) −16.4451 −0.792131 −0.396065 0.918222i \(-0.629625\pi\)
−0.396065 + 0.918222i \(0.629625\pi\)
\(432\) −13.0417 + 16.1838i −0.627468 + 0.778643i
\(433\) −3.51715 −0.169023 −0.0845116 0.996422i \(-0.526933\pi\)
−0.0845116 + 0.996422i \(0.526933\pi\)
\(434\) −4.82383 8.20356i −0.231551 0.393784i
\(435\) −8.52558 3.71814i −0.408770 0.178271i
\(436\) −1.17018 4.10456i −0.0560414 0.196573i
\(437\) −7.70471 2.06447i −0.368566 0.0987570i
\(438\) −3.74198 30.9518i −0.178799 1.47894i
\(439\) 10.4483 18.0969i 0.498668 0.863719i −0.501331 0.865256i \(-0.667156\pi\)
0.999999 + 0.00153725i \(0.000489321\pi\)
\(440\) 0.163030 + 6.82363i 0.00777214 + 0.325304i
\(441\) 0.913192 2.96367i 0.0434854 0.141127i
\(442\) 9.16728 + 33.1545i 0.436043 + 1.57700i
\(443\) 10.6793 2.86151i 0.507389 0.135954i 0.00396162 0.999992i \(-0.498739\pi\)
0.503427 + 0.864038i \(0.332072\pi\)
\(444\) −29.3121 3.93729i −1.39109 0.186856i
\(445\) −26.2117 7.02341i −1.24255 0.332941i
\(446\) −17.8112 + 0.141824i −0.843385 + 0.00671556i
\(447\) −5.94659 4.74078i −0.281264 0.224231i
\(448\) −10.3868 + 20.1562i −0.490730 + 0.952292i
\(449\) 17.5860i 0.829933i −0.909837 0.414966i \(-0.863793\pi\)
0.909837 0.414966i \(-0.136207\pi\)
\(450\) 10.4984 + 11.1287i 0.494899 + 0.524612i
\(451\) −5.36145 5.36145i −0.252461 0.252461i
\(452\) 0.0188891 + 1.18603i 0.000888468 + 0.0557863i
\(453\) 19.3350 14.2744i 0.908439 0.670670i
\(454\) −12.1509 11.9589i −0.570270 0.561260i
\(455\) −24.0399 + 13.8795i −1.12701 + 0.650680i
\(456\) 6.07848 2.55589i 0.284651 0.119690i
\(457\) 18.6606 + 10.7737i 0.872905 + 0.503972i 0.868313 0.496017i \(-0.165205\pi\)
0.00459262 + 0.999989i \(0.498538\pi\)
\(458\) −2.13490 7.72110i −0.0997572 0.360783i
\(459\) 35.7285 12.5201i 1.66766 0.584386i
\(460\) −8.46314 + 33.7241i −0.394596 + 1.57240i
\(461\) −16.9925 + 4.55312i −0.791419 + 0.212060i −0.631813 0.775121i \(-0.717689\pi\)
−0.159606 + 0.987181i \(0.551022\pi\)
\(462\) −0.805364 + 5.65412i −0.0374689 + 0.263054i
\(463\) 18.4389 10.6457i 0.856930 0.494749i −0.00605328 0.999982i \(-0.501927\pi\)
0.862983 + 0.505233i \(0.168593\pi\)
\(464\) 5.33970 + 5.00995i 0.247889 + 0.232581i
\(465\) 11.9291 + 1.79618i 0.553199 + 0.0832960i
\(466\) −12.3481 + 7.26091i −0.572017 + 0.336355i
\(467\) −2.62864 + 2.62864i −0.121639 + 0.121639i −0.765306 0.643667i \(-0.777412\pi\)
0.643667 + 0.765306i \(0.277412\pi\)
\(468\) 20.0261 + 0.424090i 0.925707 + 0.0196036i
\(469\) 23.1864 + 23.1864i 1.07065 + 1.07065i
\(470\) 5.95577 22.9569i 0.274719 1.05892i
\(471\) −8.43453 6.72423i −0.388643 0.309836i
\(472\) 30.3220 + 7.35324i 1.39569 + 0.338460i
\(473\) 0.639608 + 1.10783i 0.0294092 + 0.0509382i
\(474\) 23.2714 + 9.92924i 1.06889 + 0.456065i
\(475\) −1.25623 4.68831i −0.0576398 0.215115i
\(476\) 35.4352 21.2180i 1.62417 0.972524i
\(477\) 19.1150 + 0.709466i 0.875217 + 0.0324842i
\(478\) −0.648540 0.367581i −0.0296635 0.0168127i
\(479\) −10.7530 + 18.6247i −0.491317 + 0.850986i −0.999950 0.00999740i \(-0.996818\pi\)
0.508633 + 0.860983i \(0.330151\pi\)
\(480\) −11.5617 26.3155i −0.527718 1.20113i
\(481\) 14.2512 + 24.6838i 0.649799 + 1.12548i
\(482\) −0.219431 27.5576i −0.00999480 1.25521i
\(483\) −11.6301 + 26.6674i −0.529187 + 1.21341i
\(484\) 0.328782 + 20.6440i 0.0149446 + 0.938364i
\(485\) −0.617616 + 0.617616i −0.0280445 + 0.0280445i
\(486\) −1.01628 22.0220i −0.0460993 0.998937i
\(487\) −14.6445 −0.663607 −0.331804 0.943348i \(-0.607657\pi\)
−0.331804 + 0.943348i \(0.607657\pi\)
\(488\) −22.7039 + 6.66862i −1.02776 + 0.301874i
\(489\) −3.03496 7.72953i −0.137246 0.349541i
\(490\) 3.05659 + 3.00829i 0.138082 + 0.135901i
\(491\) 11.3160 42.2317i 0.510682 1.90589i 0.0975209 0.995233i \(-0.468909\pi\)
0.413161 0.910658i \(-0.364425\pi\)
\(492\) 29.4670 + 12.2963i 1.32848 + 0.554362i
\(493\) −3.45183 12.8824i −0.155463 0.580195i
\(494\) −5.52851 3.13346i −0.248739 0.140981i
\(495\) −4.92579 5.30553i −0.221398 0.238466i
\(496\) −8.37143 4.48405i −0.375888 0.201340i
\(497\) −7.33885 4.23708i −0.329192 0.190059i
\(498\) 3.54325 + 8.81703i 0.158777 + 0.395101i
\(499\) −2.12060 + 7.91419i −0.0949311 + 0.354288i −0.997009 0.0772856i \(-0.975375\pi\)
0.902078 + 0.431573i \(0.142041\pi\)
\(500\) 7.86524 2.24232i 0.351744 0.100279i
\(501\) −17.0639 + 1.92525i −0.762360 + 0.0860137i
\(502\) −34.6914 9.00010i −1.54835 0.401694i
\(503\) 1.90408i 0.0848988i 0.999099 + 0.0424494i \(0.0135161\pi\)
−0.999099 + 0.0424494i \(0.986484\pi\)
\(504\) −5.91729 23.3112i −0.263577 1.03836i
\(505\) 24.0116i 1.06850i
\(506\) 1.73125 6.67320i 0.0769634 0.296660i
\(507\) 1.90817 + 2.58466i 0.0847447 + 0.114789i
\(508\) 24.7859 + 13.7886i 1.09970 + 0.611771i
\(509\) −1.95009 + 7.27785i −0.0864364 + 0.322585i −0.995582 0.0938926i \(-0.970069\pi\)
0.909146 + 0.416478i \(0.136736\pi\)
\(510\) −7.38287 + 51.8321i −0.326919 + 2.29516i
\(511\) 31.2428 + 18.0381i 1.38210 + 0.797957i
\(512\) 1.62014 + 22.5693i 0.0716008 + 0.997433i
\(513\) −3.03172 + 6.30272i −0.133854 + 0.278272i
\(514\) 11.7683 20.7634i 0.519078 0.915833i
\(515\) 8.69237 + 32.4404i 0.383032 + 1.42949i
\(516\) −4.26512 3.29056i −0.187761 0.144859i
\(517\) −1.21711 + 4.54231i −0.0535284 + 0.199771i
\(518\) 24.0055 24.3909i 1.05474 1.07167i
\(519\) 12.8598 + 1.93633i 0.564484 + 0.0849954i
\(520\) −13.2734 + 24.3134i −0.582076 + 1.06621i
\(521\) 29.5974 1.29669 0.648343 0.761349i \(-0.275462\pi\)
0.648343 + 0.761349i \(0.275462\pi\)
\(522\) −7.76288 0.226244i −0.339772 0.00990245i
\(523\) 29.1710 29.1710i 1.27556 1.27556i 0.332431 0.943128i \(-0.392131\pi\)
0.943128 0.332431i \(-0.107869\pi\)
\(524\) 5.56355 5.74364i 0.243045 0.250912i
\(525\) −17.5915 + 1.98477i −0.767757 + 0.0866226i
\(526\) −30.7099 + 0.244531i −1.33901 + 0.0106621i
\(527\) 8.64900 + 14.9805i 0.376756 + 0.652561i
\(528\) 2.25082 + 5.23590i 0.0979546 + 0.227863i
\(529\) 6.05948 10.4953i 0.263456 0.456318i
\(530\) −13.0435 + 23.0133i −0.566574 + 0.999632i
\(531\) −29.2539 + 15.4724i −1.26951 + 0.671445i
\(532\) −1.85720 + 7.40062i −0.0805198 + 0.320858i
\(533\) −7.96422 29.7229i −0.344969 1.28744i
\(534\) −22.4944 + 2.71950i −0.973428 + 0.117684i
\(535\) 0.362907 + 0.628573i 0.0156898 + 0.0271756i
\(536\) 31.7999 + 7.71163i 1.37355 + 0.333092i
\(537\) 1.37886 0.541403i 0.0595023 0.0233633i
\(538\) 6.78980 + 1.76150i 0.292729 + 0.0759436i
\(539\) −0.601287 0.601287i −0.0258993 0.0258993i
\(540\) 27.6807 + 12.7762i 1.19119 + 0.549800i
\(541\) 7.87135 7.87135i 0.338416 0.338416i −0.517355 0.855771i \(-0.673083\pi\)
0.855771 + 0.517355i \(0.173083\pi\)
\(542\) −1.61825 2.75206i −0.0695099 0.118211i
\(543\) 9.10603 + 23.1915i 0.390777 + 0.995243i
\(544\) 19.1706 36.4854i 0.821934 1.56430i
\(545\) −5.42173 + 3.13024i −0.232241 + 0.134085i
\(546\) −14.3038 + 18.2380i −0.612145 + 0.780513i
\(547\) 3.05052 0.817385i 0.130431 0.0349488i −0.193013 0.981196i \(-0.561826\pi\)
0.323444 + 0.946247i \(0.395159\pi\)
\(548\) −8.18279 13.6657i −0.349551 0.583770i
\(549\) 13.3467 21.2554i 0.569625 0.907159i
\(550\) 4.04335 1.11799i 0.172409 0.0476714i
\(551\) 2.13375 + 1.23192i 0.0909007 + 0.0524816i
\(552\) 3.94303 + 28.7630i 0.167826 + 1.22423i
\(553\) −25.3544 + 14.6384i −1.07818 + 0.622486i
\(554\) −18.2375 + 18.5303i −0.774838 + 0.787277i
\(555\) 4.86364 + 43.1077i 0.206450 + 1.82982i
\(556\) 14.8606 15.3416i 0.630229 0.650628i
\(557\) −22.4110 22.4110i −0.949583 0.949583i 0.0492055 0.998789i \(-0.484331\pi\)
−0.998789 + 0.0492055i \(0.984331\pi\)
\(558\) 9.80138 2.32248i 0.414926 0.0983184i
\(559\) 5.19151i 0.219577i
\(560\) 32.3844 + 7.58086i 1.36849 + 0.320350i
\(561\) 1.54565 10.2652i 0.0652574 0.433398i
\(562\) 0.0987029 + 12.3958i 0.00416353 + 0.522884i
\(563\) −30.2910 8.11646i −1.27661 0.342068i −0.444053 0.896000i \(-0.646460\pi\)
−0.832561 + 0.553933i \(0.813127\pi\)
\(564\) −2.53327 19.6403i −0.106670 0.827005i
\(565\) 1.68061 0.450319i 0.0707039 0.0189450i
\(566\) −22.0389 + 6.09380i −0.926365 + 0.256141i
\(567\) 21.0855 + 14.3573i 0.885510 + 0.602949i
\(568\) −8.45395 + 0.201981i −0.354720 + 0.00847494i
\(569\) −2.78787 + 4.82873i −0.116874 + 0.202431i −0.918527 0.395358i \(-0.870621\pi\)
0.801654 + 0.597789i \(0.203954\pi\)
\(570\) −5.80641 7.73527i −0.243204 0.323995i
\(571\) −20.1186 5.39076i −0.841937 0.225596i −0.188023 0.982165i \(-0.560208\pi\)
−0.653915 + 0.756568i \(0.726874\pi\)
\(572\) 2.67013 4.79972i 0.111644 0.200686i
\(573\) −16.1719 + 11.9391i −0.675590 + 0.498765i
\(574\) −31.8488 + 18.7276i −1.32934 + 0.781676i
\(575\) 21.3699 0.891185
\(576\) −17.1508 16.7884i −0.714616 0.699517i
\(577\) 20.3551 0.847394 0.423697 0.905804i \(-0.360732\pi\)
0.423697 + 0.905804i \(0.360732\pi\)
\(578\) −43.9894 + 25.8665i −1.82972 + 1.07590i
\(579\) −1.97905 17.5408i −0.0822465 0.728971i
\(580\) 5.22119 9.38541i 0.216798 0.389708i
\(581\) −10.6208 2.84584i −0.440626 0.118065i
\(582\) −0.286209 + 0.670794i −0.0118637 + 0.0278053i
\(583\) 2.62250 4.54230i 0.108613 0.188123i
\(584\) 35.9901 0.859872i 1.48928 0.0355818i
\(585\) −6.54651 28.6423i −0.270665 1.18421i
\(586\) 17.0918 4.72592i 0.706057 0.195226i
\(587\) −30.5741 + 8.19230i −1.26193 + 0.338132i −0.826933 0.562301i \(-0.809916\pi\)
−0.434994 + 0.900433i \(0.643250\pi\)
\(588\) 3.30473 + 1.37904i 0.136285 + 0.0568705i
\(589\) −3.08673 0.827087i −0.127186 0.0340795i
\(590\) −0.364403 45.7641i −0.0150022 1.88408i
\(591\) −9.85953 + 3.87130i −0.405567 + 0.159244i
\(592\) 7.78390 33.2517i 0.319916 1.36664i
\(593\) 18.8148i 0.772633i −0.922366 0.386317i \(-0.873747\pi\)
0.922366 0.386317i \(-0.126253\pi\)
\(594\) −5.46815 2.57687i −0.224361 0.105730i
\(595\) −42.8379 42.8379i −1.75618 1.75618i
\(596\) 6.10984 6.30760i 0.250269 0.258369i
\(597\) 44.0187 + 19.1973i 1.80157 + 0.785693i
\(598\) 19.6258 19.9409i 0.802559 0.815443i
\(599\) 0.618276 0.356962i 0.0252621 0.0145851i −0.487316 0.873226i \(-0.662024\pi\)
0.512578 + 0.858641i \(0.328691\pi\)
\(600\) −13.9577 + 10.8290i −0.569822 + 0.442092i
\(601\) 39.9427 + 23.0610i 1.62930 + 0.940676i 0.984302 + 0.176490i \(0.0564742\pi\)
0.644996 + 0.764186i \(0.276859\pi\)
\(602\) 6.00796 1.66121i 0.244866 0.0677059i
\(603\) −30.6796 + 16.2265i −1.24937 + 0.660794i
\(604\) 14.2566 + 23.8093i 0.580093 + 0.968788i
\(605\) 29.2526 7.83822i 1.18929 0.318669i
\(606\) −7.47592 18.6031i −0.303689 0.755700i
\(607\) −25.9512 + 14.9830i −1.05333 + 0.608139i −0.923579 0.383408i \(-0.874750\pi\)
−0.129749 + 0.991547i \(0.541417\pi\)
\(608\) 2.26183 + 7.27036i 0.0917293 + 0.294852i
\(609\) 5.60193 7.02676i 0.227001 0.284739i
\(610\) 17.5933 + 29.9197i 0.712330 + 1.21141i
\(611\) −13.4948 + 13.4948i −0.545943 + 0.545943i
\(612\) 10.4178 + 42.4559i 0.421115 + 1.71618i
\(613\) −4.31839 4.31839i −0.174418 0.174418i 0.614499 0.788917i \(-0.289358\pi\)
−0.788917 + 0.614499i \(0.789358\pi\)
\(614\) 36.6212 + 9.50075i 1.47791 + 0.383419i
\(615\) 6.97336 46.3125i 0.281193 1.86750i
\(616\) −6.40896 1.55420i −0.258224 0.0626206i
\(617\) 14.3245 + 24.8108i 0.576683 + 0.998844i 0.995857 + 0.0909377i \(0.0289864\pi\)
−0.419174 + 0.907906i \(0.637680\pi\)
\(618\) 16.8347 + 22.4271i 0.677190 + 0.902148i
\(619\) 8.44181 + 31.5053i 0.339305 + 1.26630i 0.899126 + 0.437690i \(0.144203\pi\)
−0.559821 + 0.828614i \(0.689130\pi\)
\(620\) −3.39058 + 13.5109i −0.136169 + 0.542609i
\(621\) −23.3493 20.0754i −0.936977 0.805597i
\(622\) −4.09583 + 7.22646i −0.164228 + 0.289755i
\(623\) 13.1093 22.7059i 0.525211 0.909693i
\(624\) −2.71373 + 22.9696i −0.108636 + 0.919520i
\(625\) −15.0133 26.0039i −0.600533 1.04015i
\(626\) −23.4310 + 0.186573i −0.936492 + 0.00745694i
\(627\) 1.13904 + 1.54286i 0.0454888 + 0.0616158i
\(628\) 8.66607 8.94658i 0.345814 0.357007i
\(629\) −43.9852 + 43.9852i −1.75380 + 1.75380i
\(630\) −31.0520 + 16.7412i −1.23714 + 0.666985i
\(631\) 19.5062 0.776529 0.388265 0.921548i \(-0.373075\pi\)
0.388265 + 0.921548i \(0.373075\pi\)
\(632\) −13.9991 + 25.6428i −0.556855 + 1.02002i
\(633\) −21.2819 + 26.6950i −0.845881 + 1.06103i
\(634\) −6.91941 + 7.03049i −0.274805 + 0.279216i
\(635\) 10.7677 40.1855i 0.427302 1.59471i
\(636\) −2.94043 + 21.8907i −0.116596 + 0.868024i
\(637\) −0.893188 3.33342i −0.0353894 0.132075i
\(638\) −1.05003 + 1.85263i −0.0415713 + 0.0733461i
\(639\) 6.57315 6.10267i 0.260030 0.241418i
\(640\) 31.5307 10.3628i 1.24636 0.409626i
\(641\) 0.569361 + 0.328721i 0.0224884 + 0.0129837i 0.511202 0.859461i \(-0.329200\pi\)
−0.488714 + 0.872444i \(0.662534\pi\)
\(642\) 0.476868 + 0.374001i 0.0188205 + 0.0147606i
\(643\) −6.29265 + 23.4845i −0.248158 + 0.926138i 0.723612 + 0.690207i \(0.242481\pi\)
−0.971770 + 0.235931i \(0.924186\pi\)
\(644\) −29.3569 16.3315i −1.15682 0.643551i
\(645\) −3.15868 + 7.24276i −0.124373 + 0.285183i
\(646\) 3.48273 13.4244i 0.137026 0.528176i
\(647\) 21.5984i 0.849122i 0.905399 + 0.424561i \(0.139572\pi\)
−0.905399 + 0.424561i \(0.860428\pi\)
\(648\) 25.4236 + 1.28014i 0.998735 + 0.0502886i
\(649\) 9.07434i 0.356199i
\(650\) 16.4795 + 4.27533i 0.646380 + 0.167692i
\(651\) −4.65935 + 10.6837i −0.182614 + 0.418728i
\(652\) 9.22123 2.62890i 0.361131 0.102956i
\(653\) 10.2092 38.1014i 0.399519 1.49102i −0.414427 0.910082i \(-0.636018\pi\)
0.813946 0.580941i \(-0.197315\pi\)
\(654\) −3.22593 + 4.11321i −0.126144 + 0.160839i
\(655\) −10.1577 5.86458i −0.396896 0.229148i
\(656\) −17.4085 + 32.5005i −0.679687 + 1.26893i
\(657\) −27.9831 + 25.9802i −1.09173 + 1.01359i
\(658\) 19.9353 + 11.2990i 0.777158 + 0.440479i
\(659\) 3.62321 + 13.5220i 0.141140 + 0.526742i 0.999897 + 0.0143586i \(0.00457065\pi\)
−0.858757 + 0.512383i \(0.828763\pi\)
\(660\) 6.64545 5.07158i 0.258674 0.197411i
\(661\) 10.7578 40.1488i 0.418432 1.56161i −0.359430 0.933172i \(-0.617029\pi\)
0.777861 0.628436i \(-0.216305\pi\)
\(662\) 22.7327 + 22.3735i 0.883532 + 0.869572i
\(663\) 26.2623 32.9421i 1.01994 1.27937i
\(664\) −10.5276 + 3.09219i −0.408552 + 0.120000i
\(665\) 11.1918 0.434001
\(666\) 17.1896 + 31.8837i 0.666082 + 1.23547i
\(667\) −7.67055 + 7.67055i −0.297005 + 0.297005i
\(668\) −0.315758 19.8262i −0.0122170 0.767100i
\(669\) 12.9568 + 17.5503i 0.500937 + 0.678532i
\(670\) −0.382163 47.9946i −0.0147643 1.85419i
\(671\) −3.44102 5.96002i −0.132839 0.230084i
\(672\) 27.4503 4.20945i 1.05892 0.162383i
\(673\) 2.88063 4.98940i 0.111040 0.192327i −0.805150 0.593072i \(-0.797915\pi\)
0.916190 + 0.400744i \(0.131248\pi\)
\(674\) 12.4070 + 7.03204i 0.477898 + 0.270864i
\(675\) 3.47521 18.4125i 0.133761 0.708696i
\(676\) −3.18278 + 1.90579i −0.122414 + 0.0732996i
\(677\) −7.27316 27.1438i −0.279530 1.04322i −0.952744 0.303773i \(-0.901754\pi\)
0.673214 0.739447i \(-0.264913\pi\)
\(678\) 1.16186 0.872140i 0.0446210 0.0334943i
\(679\) −0.421949 0.730837i −0.0161929 0.0280469i
\(680\) −58.7518 14.2476i −2.25303 0.546370i
\(681\) −3.10895 + 20.6476i −0.119135 + 0.791219i
\(682\) 0.693589 2.67348i 0.0265589 0.102373i
\(683\) −4.50875 4.50875i −0.172522 0.172522i 0.615564 0.788087i \(-0.288928\pi\)
−0.788087 + 0.615564i \(0.788928\pi\)
\(684\) −6.90691 4.18514i −0.264092 0.160023i
\(685\) −16.5206 + 16.5206i −0.631219 + 0.631219i
\(686\) 20.6154 12.1222i 0.787101 0.462828i
\(687\) −6.11603 + 7.67163i −0.233341 + 0.292691i
\(688\) 4.25612 4.53625i 0.162263 0.172943i
\(689\) 18.4343 10.6430i 0.702290 0.405467i
\(690\) 39.5130 15.8788i 1.50423 0.604497i
\(691\) 9.90941 2.65522i 0.376972 0.101009i −0.0653578 0.997862i \(-0.520819\pi\)
0.442329 + 0.896853i \(0.354152\pi\)
\(692\) −3.65512 + 14.5650i −0.138947 + 0.553679i
\(693\) 6.18319 3.27029i 0.234880 0.124228i
\(694\) 11.2205 + 40.5804i 0.425926 + 1.54041i
\(695\) −27.1319 15.6646i −1.02917 0.594193i
\(696\) 1.12303 8.89701i 0.0425684 0.337240i
\(697\) 58.1591 33.5782i 2.20293 1.27186i
\(698\) −9.02886 8.88621i −0.341748 0.336348i
\(699\) 16.0813 + 7.01333i 0.608252 + 0.265269i
\(700\) −0.325521 20.4392i −0.0123035 0.772530i
\(701\) −16.5518 16.5518i −0.625154 0.625154i 0.321691 0.946845i \(-0.395749\pi\)
−0.946845 + 0.321691i \(0.895749\pi\)
\(702\) −13.9896 20.1526i −0.528005 0.760611i
\(703\) 11.4916i 0.433414i
\(704\) −6.26803 + 2.00488i −0.236235 + 0.0755618i
\(705\) −27.0376 + 10.6162i −1.01829 + 0.399828i
\(706\) 46.0154 0.366403i 1.73181 0.0137898i
\(707\) 22.4089 + 6.00445i 0.842774 + 0.225821i
\(708\) −14.5308 35.3426i −0.546102 1.32826i
\(709\) −40.2743 + 10.7915i −1.51253 + 0.405282i −0.917276 0.398253i \(-0.869617\pi\)
−0.595257 + 0.803535i \(0.702950\pi\)
\(710\) 3.30564 + 11.9552i 0.124059 + 0.448672i
\(711\) −6.90445 30.2084i −0.258937 1.13290i
\(712\) −0.624916 26.1560i −0.0234197 0.980236i
\(713\) 7.03484 12.1847i 0.263457 0.456320i
\(714\) −46.5264 19.8515i −1.74121 0.742923i
\(715\) −7.78182 2.08513i −0.291023 0.0779795i
\(716\) 0.468966 + 1.64496i 0.0175261 + 0.0614752i
\(717\) 0.102361 + 0.907249i 0.00382274 + 0.0338818i
\(718\) −0.417086 0.709311i −0.0155655 0.0264712i
\(719\) 26.8494 1.00131 0.500656 0.865646i \(-0.333092\pi\)
0.500656 + 0.865646i \(0.333092\pi\)
\(720\) −17.7614 + 30.3941i −0.661929 + 1.13272i
\(721\) −32.4488 −1.20846
\(722\) −12.3212 20.9539i −0.458548 0.779822i
\(723\) −27.1538 + 20.0467i −1.00986 + 0.745547i
\(724\) −27.6672 + 7.88769i −1.02824 + 0.293144i
\(725\) −6.37597 1.70843i −0.236797 0.0634497i
\(726\) 20.2233 15.1804i 0.750555 0.563398i
\(727\) −12.1681 + 21.0758i −0.451290 + 0.781657i −0.998466 0.0553600i \(-0.982369\pi\)
0.547176 + 0.837017i \(0.315703\pi\)
\(728\) −19.3714 18.4674i −0.717952 0.684446i
\(729\) −21.0942 + 16.8533i −0.781268 + 0.624196i
\(730\) −14.0727 50.8957i −0.520856 1.88373i
\(731\) −10.9440 + 2.93245i −0.404780 + 0.108460i
\(732\) 22.9459 + 17.7029i 0.848104 + 0.654317i
\(733\) −21.8512 5.85501i −0.807093 0.216260i −0.168397 0.985719i \(-0.553859\pi\)
−0.638696 + 0.769459i \(0.720526\pi\)
\(734\) 6.01314 0.0478804i 0.221949 0.00176730i
\(735\) 0.782063 5.19396i 0.0288468 0.191582i
\(736\) −33.4967 + 1.33428i −1.23470 + 0.0491824i
\(737\) 9.51661i 0.350549i
\(738\) −9.01660 38.0521i −0.331906 1.40072i
\(739\) −12.6742 12.6742i −0.466230 0.466230i 0.434461 0.900691i \(-0.356939\pi\)
−0.900691 + 0.434461i \(0.856939\pi\)
\(740\) −50.0859 + 0.797682i −1.84119 + 0.0293234i
\(741\) 0.872580 + 7.73389i 0.0320550 + 0.284112i
\(742\) −18.2155 17.9277i −0.668713 0.658148i
\(743\) 25.2864 14.5991i 0.927667 0.535589i 0.0415943 0.999135i \(-0.486756\pi\)
0.886073 + 0.463546i \(0.153423\pi\)
\(744\) 1.57969 + 11.5233i 0.0579143 + 0.422464i
\(745\) −11.1551 6.44042i −0.408692 0.235959i
\(746\) 2.35008 + 8.49933i 0.0860426 + 0.311183i
\(747\) 6.18880 9.85601i 0.226436 0.360612i
\(748\) 11.6264 + 2.91766i 0.425102 + 0.106680i
\(749\) −0.677369 + 0.181500i −0.0247505 + 0.00663188i
\(750\) −7.88181 6.18159i −0.287803 0.225720i
\(751\) 23.9864 13.8486i 0.875277 0.505341i 0.00617885 0.999981i \(-0.498033\pi\)
0.869098 + 0.494639i \(0.164700\pi\)
\(752\) 22.8549 0.728172i 0.833433 0.0265537i
\(753\) 16.0427 + 40.8580i 0.584628 + 1.48895i
\(754\) −7.44980 + 4.38060i −0.271306 + 0.159532i
\(755\) 28.7833 28.7833i 1.04753 1.04753i
\(756\) −18.8454 + 22.6383i −0.685401 + 0.823347i
\(757\) −6.84906 6.84906i −0.248933 0.248933i 0.571599 0.820533i \(-0.306323\pi\)
−0.820533 + 0.571599i \(0.806323\pi\)
\(758\) −4.51911 + 17.4192i −0.164141 + 0.632693i
\(759\) −7.85940 + 3.08595i −0.285278 + 0.112013i
\(760\) 9.53592 5.81359i 0.345904 0.210881i
\(761\) 6.92685 + 11.9977i 0.251098 + 0.434915i 0.963828 0.266523i \(-0.0858750\pi\)
−0.712730 + 0.701438i \(0.752542\pi\)
\(762\) −4.16930 34.4865i −0.151038 1.24931i
\(763\) −1.56553 5.84262i −0.0566758 0.211517i
\(764\) −11.9243 19.9142i −0.431405 0.720470i
\(765\) 56.6821 29.9792i 2.04934 1.08390i
\(766\) 10.7275 + 6.08018i 0.387602 + 0.219686i
\(767\) −18.4134 + 31.8930i −0.664871 + 1.15159i
\(768\) 21.2022 17.8456i 0.765068 0.643949i
\(769\) 5.15368 + 8.92644i 0.185846 + 0.321896i 0.943861 0.330342i \(-0.107164\pi\)
−0.758015 + 0.652237i \(0.773831\pi\)
\(770\) 0.0770213 + 9.67285i 0.00277565 + 0.348585i
\(771\) −29.0461 + 3.27714i −1.04607 + 0.118023i
\(772\) 20.3803 0.324582i 0.733503 0.0116820i
\(773\) 29.0684 29.0684i 1.04552 1.04552i