Properties

Label 91.2.bb.a.31.8
Level $91$
Weight $2$
Character 91.31
Analytic conductor $0.727$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.bb (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 31.8
Character \(\chi\) \(=\) 91.31
Dual form 91.2.bb.a.47.8

$q$-expansion

\(f(q)\) \(=\) \(q+(2.38839 + 0.639966i) q^{2} +(-1.77043 - 1.02216i) q^{3} +(3.56278 + 2.05697i) q^{4} +(-0.423894 + 1.58199i) q^{5} +(-3.57432 - 3.57432i) q^{6} +(-0.716327 - 2.54693i) q^{7} +(3.69606 + 3.69606i) q^{8} +(0.589612 + 1.02124i) q^{9} +O(q^{10})\) \(q+(2.38839 + 0.639966i) q^{2} +(-1.77043 - 1.02216i) q^{3} +(3.56278 + 2.05697i) q^{4} +(-0.423894 + 1.58199i) q^{5} +(-3.57432 - 3.57432i) q^{6} +(-0.716327 - 2.54693i) q^{7} +(3.69606 + 3.69606i) q^{8} +(0.589612 + 1.02124i) q^{9} +(-2.02484 + 3.50713i) q^{10} +(-5.55653 + 1.48887i) q^{11} +(-4.20510 - 7.28345i) q^{12} +(3.57432 - 0.473526i) q^{13} +(-0.0809133 - 6.54149i) q^{14} +(2.36752 - 2.36752i) q^{15} +(2.34832 + 4.06741i) q^{16} +(-0.991968 + 1.71814i) q^{17} +(0.754664 + 2.81644i) q^{18} +(-0.246155 + 0.918664i) q^{19} +(-4.76435 + 4.76435i) q^{20} +(-1.33516 + 5.24137i) q^{21} -14.2240 q^{22} +(3.06647 - 1.77043i) q^{23} +(-2.76566 - 10.3216i) q^{24} +(2.00711 + 1.15881i) q^{25} +(8.83990 + 1.15648i) q^{26} +3.72224i q^{27} +(2.68686 - 10.5476i) q^{28} +2.83949 q^{29} +(7.16968 - 4.13942i) q^{30} +(4.33096 - 1.16048i) q^{31} +(0.299990 + 1.11958i) q^{32} +(11.3593 + 3.04372i) q^{33} +(-3.46875 + 3.46875i) q^{34} +(4.33288 - 0.0535944i) q^{35} +4.85126i q^{36} +(1.00161 - 3.73806i) q^{37} +(-1.17583 + 2.03659i) q^{38} +(-6.81210 - 2.81518i) q^{39} +(-7.41388 + 4.28040i) q^{40} +(-4.02565 - 4.02565i) q^{41} +(-6.54318 + 11.6639i) q^{42} +5.30948i q^{43} +(-22.8593 - 6.12512i) q^{44} +(-1.86552 + 0.499866i) q^{45} +(8.45694 - 2.26603i) q^{46} +(0.448482 + 0.120170i) q^{47} -9.60143i q^{48} +(-5.97375 + 3.64888i) q^{49} +(4.05216 + 4.05216i) q^{50} +(3.51242 - 2.02789i) q^{51} +(13.7086 + 5.66521i) q^{52} +(-6.31835 + 10.9437i) q^{53} +(-2.38211 + 8.89014i) q^{54} -9.42152i q^{55} +(6.76604 - 12.0612i) q^{56} +(1.37482 - 1.37482i) q^{57} +(6.78181 + 1.81718i) q^{58} +(-3.10701 - 11.5955i) q^{59} +(13.3049 - 3.56503i) q^{60} +(-4.38137 + 2.52958i) q^{61} +11.0867 q^{62} +(2.17867 - 2.23324i) q^{63} -6.52733i q^{64} +(-0.766017 + 5.85527i) q^{65} +(25.1825 + 14.5391i) q^{66} +(-1.57304 - 5.87066i) q^{67} +(-7.06833 + 4.08090i) q^{68} -7.23863 q^{69} +(10.3829 + 2.64489i) q^{70} +(-4.84596 + 4.84596i) q^{71} +(-1.59532 + 5.95380i) q^{72} +(-1.13694 - 4.24311i) q^{73} +(4.78447 - 8.28694i) q^{74} +(-2.36897 - 4.10317i) q^{75} +(-2.76666 + 2.76666i) q^{76} +(7.77235 + 13.0856i) q^{77} +(-14.4683 - 11.0832i) q^{78} +(-3.08258 - 5.33918i) q^{79} +(-7.43006 + 1.99088i) q^{80} +(5.57355 - 9.65367i) q^{81} +(-7.03853 - 12.1911i) q^{82} +(11.5176 + 11.5176i) q^{83} +(-15.5382 + 15.9274i) q^{84} +(-2.29759 - 2.29759i) q^{85} +(-3.39789 + 12.6811i) q^{86} +(-5.02712 - 2.90241i) q^{87} +(-26.0402 - 15.0343i) q^{88} +(-3.51188 - 0.941005i) q^{89} -4.77549 q^{90} +(-3.76642 - 8.76436i) q^{91} +14.5669 q^{92} +(-8.85384 - 2.37238i) q^{93} +(0.994243 + 0.574027i) q^{94} +(-1.34898 - 0.778832i) q^{95} +(0.613273 - 2.28877i) q^{96} +(-7.09855 - 7.09855i) q^{97} +(-16.6028 + 4.89192i) q^{98} +(-4.79669 - 4.79669i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} - 12q^{3} - 6q^{5} - 6q^{7} - 16q^{8} + 8q^{9} + O(q^{10}) \) \( 32q - 2q^{2} - 12q^{3} - 6q^{5} - 6q^{7} - 16q^{8} + 8q^{9} - 10q^{11} + 28q^{14} - 44q^{15} + 12q^{16} - 4q^{18} + 12q^{19} - 26q^{21} - 8q^{22} - 12q^{24} + 24q^{26} - 6q^{28} + 16q^{29} + 24q^{31} + 4q^{32} + 48q^{33} + 28q^{35} - 8q^{37} - 6q^{39} - 132q^{40} - 16q^{42} - 42q^{44} - 24q^{45} + 12q^{46} + 30q^{47} + 88q^{50} + 36q^{52} - 12q^{53} + 78q^{54} + 40q^{57} + 26q^{58} - 54q^{59} + 16q^{60} - 48q^{61} + 24q^{63} - 8q^{65} + 12q^{66} + 16q^{67} - 48q^{68} + 50q^{70} - 36q^{71} + 22q^{72} + 66q^{73} + 12q^{74} - 176q^{78} - 32q^{79} + 138q^{80} + 16q^{81} - 58q^{84} - 84q^{85} + 42q^{86} - 24q^{87} - 60q^{89} + 48q^{92} + 6q^{93} - 72q^{94} - 42q^{96} - 86q^{98} - 24q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.38839 + 0.639966i 1.68884 + 0.452524i 0.970091 0.242741i \(-0.0780466\pi\)
0.718753 + 0.695266i \(0.244713\pi\)
\(3\) −1.77043 1.02216i −1.02216 0.590143i −0.107429 0.994213i \(-0.534262\pi\)
−0.914728 + 0.404070i \(0.867595\pi\)
\(4\) 3.56278 + 2.05697i 1.78139 + 1.02849i
\(5\) −0.423894 + 1.58199i −0.189571 + 0.707488i 0.804035 + 0.594582i \(0.202683\pi\)
−0.993606 + 0.112906i \(0.963984\pi\)
\(6\) −3.57432 3.57432i −1.45921 1.45921i
\(7\) −0.716327 2.54693i −0.270746 0.962651i
\(8\) 3.69606 + 3.69606i 1.30676 + 1.30676i
\(9\) 0.589612 + 1.02124i 0.196537 + 0.340413i
\(10\) −2.02484 + 3.50713i −0.640311 + 1.10905i
\(11\) −5.55653 + 1.48887i −1.67536 + 0.448911i −0.966547 0.256488i \(-0.917435\pi\)
−0.708811 + 0.705399i \(0.750768\pi\)
\(12\) −4.20510 7.28345i −1.21391 2.10255i
\(13\) 3.57432 0.473526i 0.991338 0.131333i
\(14\) −0.0809133 6.54149i −0.0216250 1.74829i
\(15\) 2.36752 2.36752i 0.611291 0.611291i
\(16\) 2.34832 + 4.06741i 0.587081 + 1.01685i
\(17\) −0.991968 + 1.71814i −0.240588 + 0.416710i −0.960882 0.276959i \(-0.910673\pi\)
0.720294 + 0.693669i \(0.244007\pi\)
\(18\) 0.754664 + 2.81644i 0.177876 + 0.663842i
\(19\) −0.246155 + 0.918664i −0.0564719 + 0.210756i −0.988396 0.151896i \(-0.951462\pi\)
0.931925 + 0.362652i \(0.118129\pi\)
\(20\) −4.76435 + 4.76435i −1.06534 + 1.06534i
\(21\) −1.33516 + 5.24137i −0.291356 + 1.14376i
\(22\) −14.2240 −3.03256
\(23\) 3.06647 1.77043i 0.639404 0.369160i −0.144981 0.989434i \(-0.546312\pi\)
0.784385 + 0.620274i \(0.212979\pi\)
\(24\) −2.76566 10.3216i −0.564537 2.10688i
\(25\) 2.00711 + 1.15881i 0.401423 + 0.231761i
\(26\) 8.83990 + 1.15648i 1.73365 + 0.226805i
\(27\) 3.72224i 0.716345i
\(28\) 2.68686 10.5476i 0.507768 1.99331i
\(29\) 2.83949 0.527281 0.263640 0.964621i \(-0.415077\pi\)
0.263640 + 0.964621i \(0.415077\pi\)
\(30\) 7.16968 4.13942i 1.30900 0.755751i
\(31\) 4.33096 1.16048i 0.777863 0.208428i 0.152021 0.988377i \(-0.451422\pi\)
0.625842 + 0.779950i \(0.284755\pi\)
\(32\) 0.299990 + 1.11958i 0.0530312 + 0.197915i
\(33\) 11.3593 + 3.04372i 1.97740 + 0.529843i
\(34\) −3.46875 + 3.46875i −0.594886 + 0.594886i
\(35\) 4.33288 0.0535944i 0.732390 0.00905911i
\(36\) 4.85126i 0.808544i
\(37\) 1.00161 3.73806i 0.164664 0.614534i −0.833419 0.552642i \(-0.813620\pi\)
0.998083 0.0618923i \(-0.0197135\pi\)
\(38\) −1.17583 + 2.03659i −0.190745 + 0.330379i
\(39\) −6.81210 2.81518i −1.09081 0.450789i
\(40\) −7.41388 + 4.28040i −1.17224 + 0.676791i
\(41\) −4.02565 4.02565i −0.628701 0.628701i 0.319040 0.947741i \(-0.396640\pi\)
−0.947741 + 0.319040i \(0.896640\pi\)
\(42\) −6.54318 + 11.6639i −1.00963 + 1.79979i
\(43\) 5.30948i 0.809688i 0.914386 + 0.404844i \(0.132674\pi\)
−0.914386 + 0.404844i \(0.867326\pi\)
\(44\) −22.8593 6.12512i −3.44616 0.923397i
\(45\) −1.86552 + 0.499866i −0.278096 + 0.0745156i
\(46\) 8.45694 2.26603i 1.24691 0.334108i
\(47\) 0.448482 + 0.120170i 0.0654178 + 0.0175287i 0.291380 0.956608i \(-0.405886\pi\)
−0.225962 + 0.974136i \(0.572552\pi\)
\(48\) 9.60143i 1.38585i
\(49\) −5.97375 + 3.64888i −0.853393 + 0.521268i
\(50\) 4.05216 + 4.05216i 0.573062 + 0.573062i
\(51\) 3.51242 2.02789i 0.491837 0.283962i
\(52\) 13.7086 + 5.66521i 1.90103 + 0.785623i
\(53\) −6.31835 + 10.9437i −0.867891 + 1.50323i −0.00374432 + 0.999993i \(0.501192\pi\)
−0.864147 + 0.503239i \(0.832141\pi\)
\(54\) −2.38211 + 8.89014i −0.324164 + 1.20980i
\(55\) 9.42152i 1.27040i
\(56\) 6.76604 12.0612i 0.904150 1.61175i
\(57\) 1.37482 1.37482i 0.182099 0.182099i
\(58\) 6.78181 + 1.81718i 0.890495 + 0.238607i
\(59\) −3.10701 11.5955i −0.404499 1.50961i −0.804979 0.593304i \(-0.797823\pi\)
0.400480 0.916305i \(-0.368843\pi\)
\(60\) 13.3049 3.56503i 1.71765 0.460243i
\(61\) −4.38137 + 2.52958i −0.560977 + 0.323880i −0.753537 0.657405i \(-0.771654\pi\)
0.192561 + 0.981285i \(0.438321\pi\)
\(62\) 11.0867 1.40801
\(63\) 2.17867 2.23324i 0.274487 0.281362i
\(64\) 6.52733i 0.815916i
\(65\) −0.766017 + 5.85527i −0.0950127 + 0.726257i
\(66\) 25.1825 + 14.5391i 3.09976 + 1.78965i
\(67\) −1.57304 5.87066i −0.192177 0.717215i −0.992980 0.118286i \(-0.962260\pi\)
0.800802 0.598929i \(-0.204407\pi\)
\(68\) −7.06833 + 4.08090i −0.857160 + 0.494882i
\(69\) −7.23863 −0.871429
\(70\) 10.3829 + 2.64489i 1.24099 + 0.316125i
\(71\) −4.84596 + 4.84596i −0.575110 + 0.575110i −0.933552 0.358442i \(-0.883308\pi\)
0.358442 + 0.933552i \(0.383308\pi\)
\(72\) −1.59532 + 5.95380i −0.188010 + 0.701663i
\(73\) −1.13694 4.24311i −0.133069 0.496619i 0.866930 0.498430i \(-0.166090\pi\)
−0.999998 + 0.00181149i \(0.999423\pi\)
\(74\) 4.78447 8.28694i 0.556183 0.963338i
\(75\) −2.36897 4.10317i −0.273545 0.473794i
\(76\) −2.76666 + 2.76666i −0.317358 + 0.317358i
\(77\) 7.77235 + 13.0856i 0.885741 + 1.49124i
\(78\) −14.4683 11.0832i −1.63821 1.25493i
\(79\) −3.08258 5.33918i −0.346817 0.600704i 0.638865 0.769319i \(-0.279404\pi\)
−0.985682 + 0.168614i \(0.946071\pi\)
\(80\) −7.43006 + 1.99088i −0.830706 + 0.222587i
\(81\) 5.57355 9.65367i 0.619284 1.07263i
\(82\) −7.03853 12.1911i −0.777276 1.34628i
\(83\) 11.5176 + 11.5176i 1.26422 + 1.26422i 0.949027 + 0.315194i \(0.102070\pi\)
0.315194 + 0.949027i \(0.397930\pi\)
\(84\) −15.5382 + 15.9274i −1.69536 + 1.73783i
\(85\) −2.29759 2.29759i −0.249209 0.249209i
\(86\) −3.39789 + 12.6811i −0.366403 + 1.36744i
\(87\) −5.02712 2.90241i −0.538964 0.311171i
\(88\) −26.0402 15.0343i −2.77590 1.60267i
\(89\) −3.51188 0.941005i −0.372258 0.0997463i 0.0678393 0.997696i \(-0.478389\pi\)
−0.440098 + 0.897950i \(0.645056\pi\)
\(90\) −4.77549 −0.503381
\(91\) −3.76642 8.76436i −0.394828 0.918755i
\(92\) 14.5669 1.51870
\(93\) −8.85384 2.37238i −0.918101 0.246004i
\(94\) 0.994243 + 0.574027i 0.102548 + 0.0592063i
\(95\) −1.34898 0.778832i −0.138402 0.0799065i
\(96\) 0.613273 2.28877i 0.0625919 0.233596i
\(97\) −7.09855 7.09855i −0.720749 0.720749i 0.248009 0.968758i \(-0.420224\pi\)
−0.968758 + 0.248009i \(0.920224\pi\)
\(98\) −16.6028 + 4.89192i −1.67713 + 0.494159i
\(99\) −4.79669 4.79669i −0.482086 0.482086i
\(100\) 4.76727 + 8.25715i 0.476727 + 0.825715i
\(101\) 2.12979 3.68890i 0.211922 0.367059i −0.740394 0.672173i \(-0.765361\pi\)
0.952316 + 0.305114i \(0.0986944\pi\)
\(102\) 9.68679 2.59557i 0.959135 0.257000i
\(103\) 2.08562 + 3.61240i 0.205502 + 0.355940i 0.950293 0.311358i \(-0.100784\pi\)
−0.744790 + 0.667298i \(0.767451\pi\)
\(104\) 14.9611 + 11.4607i 1.46706 + 1.12382i
\(105\) −7.72583 4.33400i −0.753964 0.422955i
\(106\) −22.0942 + 22.0942i −2.14598 + 2.14598i
\(107\) 1.91482 + 3.31657i 0.185113 + 0.320625i 0.943615 0.331046i \(-0.107402\pi\)
−0.758502 + 0.651671i \(0.774068\pi\)
\(108\) −7.65654 + 13.2615i −0.736751 + 1.27609i
\(109\) −0.370102 1.38124i −0.0354494 0.132299i 0.945933 0.324361i \(-0.105149\pi\)
−0.981383 + 0.192062i \(0.938483\pi\)
\(110\) 6.02945 22.5022i 0.574886 2.14550i
\(111\) −5.59417 + 5.59417i −0.530975 + 0.530975i
\(112\) 8.67727 8.89462i 0.819925 0.840463i
\(113\) 15.2149 1.43129 0.715647 0.698462i \(-0.246132\pi\)
0.715647 + 0.698462i \(0.246132\pi\)
\(114\) 4.16344 2.40376i 0.389942 0.225133i
\(115\) 1.50095 + 5.60161i 0.139964 + 0.522353i
\(116\) 10.1165 + 5.84076i 0.939292 + 0.542301i
\(117\) 2.59105 + 3.37104i 0.239542 + 0.311653i
\(118\) 29.6830i 2.73254i
\(119\) 5.08656 + 1.29573i 0.466284 + 0.118779i
\(120\) 17.5010 1.59761
\(121\) 19.1321 11.0459i 1.73928 1.00417i
\(122\) −12.0832 + 3.23769i −1.09397 + 0.293127i
\(123\) 3.01228 + 11.2420i 0.271608 + 1.01366i
\(124\) 17.8173 + 4.77414i 1.60004 + 0.428730i
\(125\) −8.47452 + 8.47452i −0.757984 + 0.757984i
\(126\) 6.63271 3.93957i 0.590889 0.350965i
\(127\) 6.12999i 0.543949i −0.962304 0.271974i \(-0.912323\pi\)
0.962304 0.271974i \(-0.0876766\pi\)
\(128\) 4.77725 17.8289i 0.422253 1.57587i
\(129\) 5.42712 9.40005i 0.477832 0.827629i
\(130\) −5.57672 + 13.4944i −0.489111 + 1.18354i
\(131\) 1.30691 0.754542i 0.114185 0.0659247i −0.441820 0.897104i \(-0.645667\pi\)
0.556005 + 0.831179i \(0.312334\pi\)
\(132\) 34.2099 + 34.2099i 2.97759 + 2.97759i
\(133\) 2.51611 0.0311223i 0.218174 0.00269865i
\(134\) 15.0281i 1.29823i
\(135\) −5.88855 1.57783i −0.506806 0.135798i
\(136\) −10.0167 + 2.68397i −0.858927 + 0.230149i
\(137\) −6.58552 + 1.76458i −0.562639 + 0.150759i −0.528918 0.848673i \(-0.677402\pi\)
−0.0337203 + 0.999431i \(0.510736\pi\)
\(138\) −17.2886 4.63248i −1.47171 0.394343i
\(139\) 6.26924i 0.531750i 0.964007 + 0.265875i \(0.0856609\pi\)
−0.964007 + 0.265875i \(0.914339\pi\)
\(140\) 15.5473 + 8.72166i 1.31399 + 0.737115i
\(141\) −0.671172 0.671172i −0.0565229 0.0565229i
\(142\) −14.6753 + 8.47278i −1.23152 + 0.711020i
\(143\) −19.1558 + 7.95286i −1.60189 + 0.665052i
\(144\) −2.76920 + 4.79640i −0.230767 + 0.399700i
\(145\) −1.20364 + 4.49206i −0.0999571 + 0.373045i
\(146\) 10.8618i 0.898929i
\(147\) 14.3058 0.353959i 1.17992 0.0291940i
\(148\) 11.2576 11.2576i 0.925370 0.925370i
\(149\) 2.61553 + 0.700828i 0.214272 + 0.0574141i 0.364358 0.931259i \(-0.381288\pi\)
−0.150086 + 0.988673i \(0.547955\pi\)
\(150\) −3.03212 11.3160i −0.247571 0.923949i
\(151\) 0.273183 0.0731992i 0.0222313 0.00595686i −0.247686 0.968840i \(-0.579670\pi\)
0.269918 + 0.962883i \(0.413004\pi\)
\(152\) −4.30525 + 2.48563i −0.349202 + 0.201612i
\(153\) −2.33951 −0.189138
\(154\) 10.1890 + 36.2275i 0.821054 + 2.91930i
\(155\) 7.34346i 0.589841i
\(156\) −18.4793 24.0421i −1.47953 1.92491i
\(157\) −0.885412 0.511193i −0.0706636 0.0407976i 0.464252 0.885703i \(-0.346323\pi\)
−0.534916 + 0.844906i \(0.679657\pi\)
\(158\) −3.94549 14.7248i −0.313886 1.17144i
\(159\) 22.3724 12.9167i 1.77424 1.02436i
\(160\) −1.89832 −0.150076
\(161\) −6.70576 6.54190i −0.528488 0.515574i
\(162\) 19.4898 19.4898i 1.53126 1.53126i
\(163\) −4.38836 + 16.3776i −0.343723 + 1.28279i 0.550374 + 0.834918i \(0.314485\pi\)
−0.894097 + 0.447874i \(0.852181\pi\)
\(164\) −6.06186 22.6232i −0.473352 1.76657i
\(165\) −9.63028 + 16.6801i −0.749716 + 1.29855i
\(166\) 20.1376 + 34.8794i 1.56298 + 2.70716i
\(167\) −0.350041 + 0.350041i −0.0270870 + 0.0270870i −0.720521 0.693434i \(-0.756097\pi\)
0.693434 + 0.720521i \(0.256097\pi\)
\(168\) −24.3073 + 14.4376i −1.87535 + 1.11388i
\(169\) 12.5515 3.38507i 0.965504 0.260390i
\(170\) −4.01716 6.95792i −0.308102 0.533648i
\(171\) −1.08331 + 0.290273i −0.0828429 + 0.0221977i
\(172\) −10.9214 + 18.9165i −0.832753 + 1.44237i
\(173\) −1.98781 3.44298i −0.151130 0.261765i 0.780513 0.625139i \(-0.214958\pi\)
−0.931643 + 0.363374i \(0.881625\pi\)
\(174\) −10.1493 10.1493i −0.769413 0.769413i
\(175\) 1.51366 5.94207i 0.114422 0.449178i
\(176\) −19.1044 19.1044i −1.44005 1.44005i
\(177\) −6.35171 + 23.7049i −0.477424 + 1.78177i
\(178\) −7.78551 4.49497i −0.583549 0.336912i
\(179\) 5.57272 + 3.21741i 0.416524 + 0.240481i 0.693589 0.720371i \(-0.256028\pi\)
−0.277065 + 0.960851i \(0.589362\pi\)
\(180\) −7.67466 2.05642i −0.572036 0.153276i
\(181\) 10.7701 0.800535 0.400268 0.916398i \(-0.368917\pi\)
0.400268 + 0.916398i \(0.368917\pi\)
\(182\) −3.38678 23.3431i −0.251045 1.73030i
\(183\) 10.3425 0.764542
\(184\) 17.8775 + 4.79026i 1.31795 + 0.353142i
\(185\) 5.48901 + 3.16908i 0.403560 + 0.232996i
\(186\) −19.6282 11.3323i −1.43921 0.830926i
\(187\) 2.95382 11.0238i 0.216005 0.806141i
\(188\) 1.35066 + 1.35066i 0.0985067 + 0.0985067i
\(189\) 9.48030 2.66634i 0.689590 0.193948i
\(190\) −2.72345 2.72345i −0.197580 0.197580i
\(191\) −1.02334 1.77247i −0.0740461 0.128252i 0.826625 0.562753i \(-0.190258\pi\)
−0.900671 + 0.434502i \(0.856925\pi\)
\(192\) −6.67196 + 11.5562i −0.481507 + 0.833995i
\(193\) 2.77964 0.744802i 0.200083 0.0536120i −0.157386 0.987537i \(-0.550307\pi\)
0.357469 + 0.933925i \(0.383640\pi\)
\(194\) −12.4112 21.4969i −0.891076 1.54339i
\(195\) 7.34119 9.58336i 0.525714 0.686278i
\(196\) −28.7888 + 0.712301i −2.05634 + 0.0508786i
\(197\) −4.42190 + 4.42190i −0.315047 + 0.315047i −0.846861 0.531814i \(-0.821511\pi\)
0.531814 + 0.846861i \(0.321511\pi\)
\(198\) −8.38663 14.5261i −0.596012 1.03232i
\(199\) −10.4063 + 18.0243i −0.737687 + 1.27771i 0.215848 + 0.976427i \(0.430748\pi\)
−0.953535 + 0.301284i \(0.902585\pi\)
\(200\) 3.13539 + 11.7014i 0.221706 + 0.827417i
\(201\) −3.21578 + 12.0015i −0.226824 + 0.846518i
\(202\) 7.44753 7.44753i 0.524006 0.524006i
\(203\) −2.03401 7.23200i −0.142759 0.507587i
\(204\) 16.6853 1.16820
\(205\) 8.07500 4.66210i 0.563982 0.325615i
\(206\) 2.66945 + 9.96252i 0.185989 + 0.694122i
\(207\) 3.61606 + 2.08773i 0.251334 + 0.145108i
\(208\) 10.3197 + 13.4263i 0.715542 + 0.930943i
\(209\) 5.47108i 0.378443i
\(210\) −15.6787 15.2955i −1.08193 1.05549i
\(211\) −15.4637 −1.06456 −0.532281 0.846568i \(-0.678665\pi\)
−0.532281 + 0.846568i \(0.678665\pi\)
\(212\) −45.0217 + 25.9933i −3.09211 + 1.78523i
\(213\) 13.5328 3.62610i 0.927250 0.248456i
\(214\) 2.45084 + 9.14666i 0.167536 + 0.625253i
\(215\) −8.39955 2.25065i −0.572845 0.153493i
\(216\) −13.7576 + 13.7576i −0.936088 + 0.936088i
\(217\) −6.05804 10.1994i −0.411247 0.692379i
\(218\) 3.53579i 0.239474i
\(219\) −2.32426 + 8.67426i −0.157059 + 0.586152i
\(220\) 19.3798 33.5668i 1.30659 2.26307i
\(221\) −2.73203 + 6.61090i −0.183776 + 0.444697i
\(222\) −16.9411 + 9.78096i −1.13701 + 0.656455i
\(223\) 16.7037 + 16.7037i 1.11856 + 1.11856i 0.991953 + 0.126611i \(0.0404098\pi\)
0.126611 + 0.991953i \(0.459590\pi\)
\(224\) 2.63660 1.56604i 0.176165 0.104635i
\(225\) 2.73299i 0.182199i
\(226\) 36.3390 + 9.73700i 2.41723 + 0.647696i
\(227\) 20.7234 5.55282i 1.37546 0.368553i 0.505990 0.862539i \(-0.331127\pi\)
0.869470 + 0.493986i \(0.164461\pi\)
\(228\) 7.72615 2.07022i 0.511677 0.137103i
\(229\) −0.977595 0.261946i −0.0646013 0.0173099i 0.226374 0.974041i \(-0.427313\pi\)
−0.290975 + 0.956731i \(0.593980\pi\)
\(230\) 14.3394i 0.945509i
\(231\) −0.384829 31.1117i −0.0253199 2.04700i
\(232\) 10.4949 + 10.4949i 0.689027 + 0.689027i
\(233\) 1.88448 1.08800i 0.123456 0.0712775i −0.437000 0.899461i \(-0.643959\pi\)
0.560456 + 0.828184i \(0.310626\pi\)
\(234\) 4.03107 + 9.70952i 0.263519 + 0.634731i
\(235\) −0.380217 + 0.658556i −0.0248026 + 0.0429594i
\(236\) 12.7821 47.7034i 0.832042 3.10522i
\(237\) 12.6035i 0.818686i
\(238\) 11.3194 + 6.34992i 0.733731 + 0.411604i
\(239\) −8.20062 + 8.20062i −0.530454 + 0.530454i −0.920708 0.390253i \(-0.872387\pi\)
0.390253 + 0.920708i \(0.372387\pi\)
\(240\) 15.1894 + 4.06998i 0.980470 + 0.262716i
\(241\) −1.66479 6.21307i −0.107238 0.400219i 0.891351 0.453314i \(-0.149758\pi\)
−0.998589 + 0.0530945i \(0.983092\pi\)
\(242\) 52.7638 14.1380i 3.39178 0.908826i
\(243\) −10.0645 + 5.81074i −0.645638 + 0.372759i
\(244\) −20.8131 −1.33242
\(245\) −3.24026 10.9972i −0.207012 0.702583i
\(246\) 28.7780i 1.83482i
\(247\) −0.444827 + 3.40016i −0.0283036 + 0.216347i
\(248\) 20.2967 + 11.7183i 1.28884 + 0.744112i
\(249\) −8.61829 32.1639i −0.546162 2.03830i
\(250\) −25.6638 + 14.8170i −1.62312 + 0.937111i
\(251\) −1.99071 −0.125652 −0.0628261 0.998024i \(-0.520011\pi\)
−0.0628261 + 0.998024i \(0.520011\pi\)
\(252\) 12.3559 3.47509i 0.778346 0.218910i
\(253\) −14.4030 + 14.4030i −0.905511 + 0.905511i
\(254\) 3.92299 14.6408i 0.246150 0.918645i
\(255\) 1.71922 + 6.41623i 0.107662 + 0.401800i
\(256\) 16.2925 28.2194i 1.01828 1.76371i
\(257\) −1.05283 1.82355i −0.0656735 0.113750i 0.831319 0.555796i \(-0.187586\pi\)
−0.896993 + 0.442046i \(0.854253\pi\)
\(258\) 18.9778 18.9778i 1.18151 1.18151i
\(259\) −10.2381 + 0.126637i −0.636164 + 0.00786887i
\(260\) −14.7733 + 19.2854i −0.916200 + 1.19603i
\(261\) 1.67420 + 2.89980i 0.103630 + 0.179493i
\(262\) 3.60428 0.965763i 0.222673 0.0596650i
\(263\) 10.1364 17.5568i 0.625040 1.08260i −0.363493 0.931597i \(-0.618416\pi\)
0.988533 0.151004i \(-0.0482507\pi\)
\(264\) 30.7349 + 53.2345i 1.89160 + 3.27636i
\(265\) −14.6345 14.6345i −0.898992 0.898992i
\(266\) 6.02935 + 1.53589i 0.369683 + 0.0941715i
\(267\) 5.25567 + 5.25567i 0.321642 + 0.321642i
\(268\) 6.47139 24.1515i 0.395303 1.47529i
\(269\) 1.14303 + 0.659927i 0.0696916 + 0.0402365i 0.534441 0.845206i \(-0.320522\pi\)
−0.464749 + 0.885442i \(0.653856\pi\)
\(270\) −13.0544 7.53695i −0.794464 0.458684i
\(271\) −26.5895 7.12464i −1.61520 0.432791i −0.665611 0.746298i \(-0.731829\pi\)
−0.949586 + 0.313508i \(0.898496\pi\)
\(272\) −9.31784 −0.564977
\(273\) −2.29038 + 19.3666i −0.138620 + 1.17212i
\(274\) −16.8580 −1.01843
\(275\) −12.8779 3.45062i −0.776567 0.208081i
\(276\) −25.7896 14.8897i −1.55235 0.896252i
\(277\) 14.5623 + 8.40757i 0.874966 + 0.505162i 0.868995 0.494820i \(-0.164766\pi\)
0.00597071 + 0.999982i \(0.498099\pi\)
\(278\) −4.01210 + 14.9734i −0.240630 + 0.898043i
\(279\) 3.73871 + 3.73871i 0.223831 + 0.223831i
\(280\) 16.2127 + 15.8165i 0.968892 + 0.945216i
\(281\) −14.9251 14.9251i −0.890356 0.890356i 0.104200 0.994556i \(-0.466772\pi\)
−0.994556 + 0.104200i \(0.966772\pi\)
\(282\) −1.17349 2.03255i −0.0698804 0.121036i
\(283\) −15.5423 + 26.9201i −0.923895 + 1.60023i −0.130567 + 0.991440i \(0.541680\pi\)
−0.793328 + 0.608794i \(0.791654\pi\)
\(284\) −27.2331 + 7.29709i −1.61599 + 0.433003i
\(285\) 1.59218 + 2.75773i 0.0943125 + 0.163354i
\(286\) −50.8411 + 6.73543i −3.00629 + 0.398274i
\(287\) −7.36939 + 13.1368i −0.435001 + 0.775438i
\(288\) −0.966477 + 0.966477i −0.0569502 + 0.0569502i
\(289\) 6.53200 + 11.3138i 0.384235 + 0.665515i
\(290\) −5.74953 + 9.95847i −0.337624 + 0.584782i
\(291\) 5.31164 + 19.8233i 0.311374 + 1.16206i
\(292\) 4.67730 17.4559i 0.273718 1.02153i
\(293\) 10.7578 10.7578i 0.628478 0.628478i −0.319207 0.947685i \(-0.603417\pi\)
0.947685 + 0.319207i \(0.103417\pi\)
\(294\) 34.3944 + 8.30985i 2.00592 + 0.484641i
\(295\) 19.6611 1.14471
\(296\) 17.5181 10.1141i 1.01822 0.587870i
\(297\) −5.54193 20.6827i −0.321575 1.20013i
\(298\) 5.79838 + 3.34769i 0.335891 + 0.193927i
\(299\) 10.1222 7.78014i 0.585383 0.449937i
\(300\) 19.4916i 1.12535i
\(301\) 13.5229 3.80332i 0.779447 0.219220i
\(302\) 0.699311 0.0402408
\(303\) −7.54128 + 4.35396i −0.433235 + 0.250128i
\(304\) −4.31464 + 1.15610i −0.247462 + 0.0663072i
\(305\) −2.14455 8.00356i −0.122796 0.458283i
\(306\) −5.58764 1.49720i −0.319424 0.0855895i
\(307\) 18.9532 18.9532i 1.08172 1.08172i 0.0853681 0.996349i \(-0.472793\pi\)
0.996349 0.0853681i \(-0.0272066\pi\)
\(308\) 0.774422 + 62.6087i 0.0441268 + 3.56746i
\(309\) 8.52732i 0.485102i
\(310\) −4.69957 + 17.5390i −0.266917 + 0.996149i
\(311\) 5.62362 9.74040i 0.318886 0.552328i −0.661370 0.750060i \(-0.730024\pi\)
0.980256 + 0.197733i \(0.0633578\pi\)
\(312\) −14.7729 35.5830i −0.836350 2.01449i
\(313\) 25.3774 14.6516i 1.43441 0.828159i 0.436960 0.899481i \(-0.356055\pi\)
0.997453 + 0.0713218i \(0.0227217\pi\)
\(314\) −1.78756 1.78756i −0.100878 0.100878i
\(315\) 2.60945 + 4.39330i 0.147026 + 0.247535i
\(316\) 25.3631i 1.42679i
\(317\) −14.6977 3.93824i −0.825507 0.221194i −0.178754 0.983894i \(-0.557207\pi\)
−0.646752 + 0.762700i \(0.723873\pi\)
\(318\) 61.7001 16.5325i 3.45997 0.927096i
\(319\) −15.7777 + 4.22763i −0.883384 + 0.236702i
\(320\) 10.3262 + 2.76689i 0.577251 + 0.154674i
\(321\) 7.82900i 0.436972i
\(322\) −11.8294 19.9160i −0.659224 1.10988i
\(323\) −1.33421 1.33421i −0.0742377 0.0742377i
\(324\) 39.7147 22.9293i 2.20637 1.27385i
\(325\) 7.72279 + 3.19153i 0.428384 + 0.177034i
\(326\) −20.9622 + 36.3076i −1.16099 + 2.01089i
\(327\) −0.756606 + 2.82369i −0.0418404 + 0.156151i
\(328\) 29.7581i 1.64312i
\(329\) −0.0151936 1.22834i −0.000837650 0.0677203i
\(330\) −33.6755 + 33.6755i −1.85378 + 1.85378i
\(331\) −24.8425 6.65652i −1.36547 0.365876i −0.499646 0.866230i \(-0.666536\pi\)
−0.865821 + 0.500354i \(0.833203\pi\)
\(332\) 17.3433 + 64.7261i 0.951837 + 3.55231i
\(333\) 4.40802 1.18113i 0.241558 0.0647253i
\(334\) −1.06005 + 0.612019i −0.0580032 + 0.0334882i
\(335\) 9.95413 0.543852
\(336\) −24.4542 + 6.87776i −1.33409 + 0.375213i
\(337\) 3.72672i 0.203008i −0.994835 0.101504i \(-0.967635\pi\)
0.994835 0.101504i \(-0.0323654\pi\)
\(338\) 32.1443 0.0522891i 1.74842 0.00284415i
\(339\) −26.9369 15.5520i −1.46301 0.844669i
\(340\) −3.45973 12.9119i −0.187630 0.700246i
\(341\) −22.3373 + 12.8965i −1.20963 + 0.698382i
\(342\) −2.77313 −0.149954
\(343\) 13.5726 + 12.6010i 0.732852 + 0.680388i
\(344\) −19.6242 + 19.6242i −1.05806 + 1.05806i
\(345\) 3.06841 11.4515i 0.165198 0.616526i
\(346\) −2.54426 9.49530i −0.136780 0.510470i
\(347\) 6.77145 11.7285i 0.363511 0.629619i −0.625025 0.780604i \(-0.714911\pi\)
0.988536 + 0.150986i \(0.0482447\pi\)
\(348\) −11.9404 20.6813i −0.640070 1.10863i
\(349\) −21.5796 + 21.5796i −1.15513 + 1.15513i −0.169620 + 0.985509i \(0.554254\pi\)
−0.985509 + 0.169620i \(0.945746\pi\)
\(350\) 7.41792 13.2233i 0.396505 0.706814i
\(351\) 1.76258 + 13.3045i 0.0940794 + 0.710140i
\(352\) −3.33380 5.77432i −0.177692 0.307772i
\(353\) −2.67728 + 0.717375i −0.142497 + 0.0381820i −0.329363 0.944204i \(-0.606834\pi\)
0.186865 + 0.982386i \(0.440167\pi\)
\(354\) −30.3407 + 52.5516i −1.61259 + 2.79309i
\(355\) −5.61210 9.72045i −0.297860 0.515908i
\(356\) −10.5764 10.5764i −0.560550 0.560550i
\(357\) −7.68095 7.49326i −0.406519 0.396585i
\(358\) 11.2508 + 11.2508i 0.594621 + 0.594621i
\(359\) 2.36055 8.80969i 0.124585 0.464958i −0.875239 0.483690i \(-0.839296\pi\)
0.999825 + 0.0187320i \(0.00596294\pi\)
\(360\) −8.74263 5.04756i −0.460777 0.266030i
\(361\) 15.6711 + 9.04773i 0.824796 + 0.476196i
\(362\) 25.7232 + 6.89250i 1.35198 + 0.362262i
\(363\) −45.1626 −2.37042
\(364\) 4.60911 38.9729i 0.241583 2.04274i
\(365\) 7.19451 0.376578
\(366\) 24.7020 + 6.61887i 1.29119 + 0.345974i
\(367\) 10.4995 + 6.06190i 0.548071 + 0.316429i 0.748343 0.663311i \(-0.230850\pi\)
−0.200273 + 0.979740i \(0.564183\pi\)
\(368\) 14.4021 + 8.31508i 0.750763 + 0.433453i
\(369\) 1.73758 6.48473i 0.0904547 0.337581i
\(370\) 11.0818 + 11.0818i 0.576114 + 0.576114i
\(371\) 32.3989 + 8.25315i 1.68207 + 0.428482i
\(372\) −26.6644 26.6644i −1.38248 1.38248i
\(373\) −13.8527 23.9936i −0.717266 1.24234i −0.962079 0.272771i \(-0.912060\pi\)
0.244813 0.969570i \(-0.421273\pi\)
\(374\) 14.1097 24.4388i 0.729597 1.26370i
\(375\) 23.6658 6.34124i 1.22210 0.327460i
\(376\) 1.21346 + 2.10177i 0.0625794 + 0.108391i
\(377\) 10.1493 1.34457i 0.522714 0.0692491i
\(378\) 24.3490 0.301179i 1.25238 0.0154910i
\(379\) 1.97532 1.97532i 0.101466 0.101466i −0.654552 0.756017i \(-0.727143\pi\)
0.756017 + 0.654552i \(0.227143\pi\)
\(380\) −3.20407 5.54961i −0.164365 0.284689i
\(381\) −6.26582 + 10.8527i −0.321008 + 0.556001i
\(382\) −1.30980 4.88825i −0.0670153 0.250105i
\(383\) −4.70541 + 17.5608i −0.240435 + 0.897317i 0.735188 + 0.677864i \(0.237094\pi\)
−0.975623 + 0.219453i \(0.929573\pi\)
\(384\) −26.6818 + 26.6818i −1.36160 + 1.36160i
\(385\) −23.9960 + 6.74889i −1.22295 + 0.343955i
\(386\) 7.11550 0.362169
\(387\) −5.42224 + 3.13053i −0.275628 + 0.159134i
\(388\) −10.6891 39.8921i −0.542654 2.02521i
\(389\) −4.76738 2.75245i −0.241716 0.139555i 0.374249 0.927328i \(-0.377900\pi\)
−0.615965 + 0.787773i \(0.711234\pi\)
\(390\) 23.6666 18.1906i 1.19841 0.921119i
\(391\) 7.02483i 0.355261i
\(392\) −35.5658 8.59288i −1.79635 0.434006i
\(393\) −3.08505 −0.155620
\(394\) −13.3911 + 7.73133i −0.674632 + 0.389499i
\(395\) 9.75322 2.61337i 0.490738 0.131493i
\(396\) −7.22290 26.9562i −0.362964 1.35460i
\(397\) −24.0832 6.45307i −1.20870 0.323870i −0.402449 0.915443i \(-0.631841\pi\)
−0.806252 + 0.591572i \(0.798507\pi\)
\(398\) −36.3893 + 36.3893i −1.82403 + 1.82403i
\(399\) −4.48640 2.51676i −0.224601 0.125995i
\(400\) 10.8850i 0.544251i
\(401\) −2.11770 + 7.90338i −0.105753 + 0.394676i −0.998430 0.0560222i \(-0.982158\pi\)
0.892676 + 0.450698i \(0.148825\pi\)
\(402\) −15.3611 + 26.6061i −0.766140 + 1.32699i
\(403\) 14.9307 6.19874i 0.743752 0.308781i
\(404\) 15.1759 8.76183i 0.755031 0.435917i
\(405\) 12.9094 + 12.9094i 0.641476 + 0.641476i
\(406\) −0.229753 18.5745i −0.0114024 0.921837i
\(407\) 22.2620i 1.10348i
\(408\) 20.4773 + 5.48688i 1.01378 + 0.271641i
\(409\) 4.33547 1.16168i 0.214375 0.0574416i −0.150033 0.988681i \(-0.547938\pi\)
0.364408 + 0.931239i \(0.381271\pi\)
\(410\) 22.2698 5.96718i 1.09983 0.294698i
\(411\) 13.4629 + 3.60737i 0.664075 + 0.177938i
\(412\) 17.1602i 0.845424i
\(413\) −27.3074 + 16.2195i −1.34371 + 0.798112i
\(414\) 7.30047 + 7.30047i 0.358799 + 0.358799i
\(415\) −23.1030 + 13.3385i −1.13408 + 0.654762i
\(416\) 1.60241 + 3.85967i 0.0785645 + 0.189236i
\(417\) 6.40815 11.0992i 0.313809 0.543533i
\(418\) 3.50131 13.0671i 0.171255 0.639131i
\(419\) 35.1474i 1.71706i −0.512760 0.858532i \(-0.671377\pi\)
0.512760 0.858532i \(-0.328623\pi\)
\(420\) −18.6105 31.3329i −0.908101 1.52889i
\(421\) 24.7123 24.7123i 1.20440 1.20440i 0.231589 0.972814i \(-0.425607\pi\)
0.972814 0.231589i \(-0.0743926\pi\)
\(422\) −36.9332 9.89621i −1.79788 0.481740i
\(423\) 0.141708 + 0.528861i 0.00689007 + 0.0257141i
\(424\) −63.8016 + 17.0956i −3.09848 + 0.830235i
\(425\) −3.98198 + 2.29900i −0.193155 + 0.111518i
\(426\) 34.6421 1.67841
\(427\) 9.58117 + 9.34705i 0.463665 + 0.452335i
\(428\) 15.7549i 0.761543i
\(429\) 42.0431 + 5.50029i 2.02986 + 0.265557i
\(430\) −18.6210 10.7509i −0.897986 0.518452i
\(431\) 9.25833 + 34.5526i 0.445958 + 1.66434i 0.713395 + 0.700763i \(0.247157\pi\)
−0.267437 + 0.963575i \(0.586177\pi\)
\(432\) −15.1399 + 8.74102i −0.728418 + 0.420552i
\(433\) −3.82925 −0.184022 −0.0920110 0.995758i \(-0.529330\pi\)
−0.0920110 + 0.995758i \(0.529330\pi\)
\(434\) −7.94168 28.2370i −0.381213 1.35542i
\(435\) 6.72255 6.72255i 0.322322 0.322322i
\(436\) 1.52258 5.68235i 0.0729184 0.272135i
\(437\) 0.871601 + 3.25286i 0.0416943 + 0.155605i
\(438\) −11.1025 + 19.2300i −0.530496 + 0.918847i
\(439\) 2.14941 + 3.72288i 0.102586 + 0.177684i 0.912749 0.408520i \(-0.133955\pi\)
−0.810164 + 0.586204i \(0.800622\pi\)
\(440\) 34.8225 34.8225i 1.66010 1.66010i
\(441\) −7.24857 3.94920i −0.345170 0.188057i
\(442\) −10.7559 + 14.0410i −0.511606 + 0.667861i
\(443\) 7.37495 + 12.7738i 0.350395 + 0.606901i 0.986319 0.164851i \(-0.0527142\pi\)
−0.635924 + 0.771752i \(0.719381\pi\)
\(444\) −31.4379 + 8.42375i −1.49198 + 0.399774i
\(445\) 2.97732 5.15688i 0.141139 0.244459i
\(446\) 29.2051 + 50.5847i 1.38290 + 2.39526i
\(447\) −3.91425 3.91425i −0.185137 0.185137i
\(448\) −16.6247 + 4.67570i −0.785442 + 0.220906i
\(449\) −13.9834 13.9834i −0.659915 0.659915i 0.295445 0.955360i \(-0.404532\pi\)
−0.955360 + 0.295445i \(0.904532\pi\)
\(450\) −1.74902 + 6.52743i −0.0824496 + 0.307706i
\(451\) 28.3624 + 16.3750i 1.33553 + 0.771069i
\(452\) 54.2072 + 31.2966i 2.54969 + 1.47207i
\(453\) −0.558472 0.149642i −0.0262393 0.00703080i
\(454\) 53.0491 2.48972
\(455\) 15.4617 2.24329i 0.724856 0.105167i
\(456\) 10.1628 0.475919
\(457\) 29.5523 + 7.91853i 1.38240 + 0.370413i 0.871992 0.489519i \(-0.162828\pi\)
0.510408 + 0.859932i \(0.329494\pi\)
\(458\) −2.16724 1.25126i −0.101268 0.0584673i
\(459\) −6.39532 3.69234i −0.298508 0.172344i
\(460\) −6.17481 + 23.0447i −0.287902 + 1.07447i
\(461\) −4.39870 4.39870i −0.204868 0.204868i 0.597214 0.802082i \(-0.296274\pi\)
−0.802082 + 0.597214i \(0.796274\pi\)
\(462\) 18.9913 74.5531i 0.883556 3.46852i
\(463\) 6.67812 + 6.67812i 0.310358 + 0.310358i 0.845048 0.534690i \(-0.179572\pi\)
−0.534690 + 0.845048i \(0.679572\pi\)
\(464\) 6.66805 + 11.5494i 0.309556 + 0.536167i
\(465\) 7.50617 13.0011i 0.348090 0.602910i
\(466\) 5.19714 1.39257i 0.240753 0.0645096i
\(467\) −19.0523 32.9996i −0.881636 1.52704i −0.849521 0.527554i \(-0.823109\pi\)
−0.0321149 0.999484i \(-0.510224\pi\)
\(468\) 2.29720 + 17.3400i 0.106188 + 0.801541i
\(469\) −13.8254 + 8.21173i −0.638396 + 0.379183i
\(470\) −1.32956 + 1.32956i −0.0613280 + 0.0613280i
\(471\) 1.04504 + 1.81006i 0.0481529 + 0.0834032i
\(472\) 31.3741 54.3415i 1.44411 2.50127i
\(473\) −7.90512 29.5023i −0.363478 1.35652i
\(474\) −8.06582 + 30.1021i −0.370475 + 1.38263i
\(475\) −1.55862 + 1.55862i −0.0715142 + 0.0715142i
\(476\) 15.4570 + 15.0793i 0.708471 + 0.691159i
\(477\) −14.9015 −0.682293
\(478\) −24.8344 + 14.3381i −1.13590 + 0.655811i
\(479\) 3.00477 + 11.2140i 0.137291 + 0.512379i 0.999978 + 0.00663970i \(0.00211350\pi\)
−0.862686 + 0.505739i \(0.831220\pi\)
\(480\) 3.36085 + 1.94039i 0.153401 + 0.0885661i
\(481\) 1.81001 13.8353i 0.0825293 0.630837i
\(482\) 15.9046i 0.724436i
\(483\) 5.18523 + 18.4363i 0.235936 + 0.838881i
\(484\) 90.8845 4.13111
\(485\) 14.2389 8.22082i 0.646554 0.373288i
\(486\) −27.7566 + 7.43735i −1.25906 + 0.337365i
\(487\) 8.60759 + 32.1240i 0.390047 + 1.45568i 0.830055 + 0.557681i \(0.188309\pi\)
−0.440008 + 0.897994i \(0.645024\pi\)
\(488\) −25.5433 6.84431i −1.15629 0.309827i
\(489\) 24.5098 24.5098i 1.10837 1.10837i
\(490\) −0.701175 28.3391i −0.0316758 1.28023i
\(491\) 2.41523i 0.108998i 0.998514 + 0.0544989i \(0.0173561\pi\)
−0.998514 + 0.0544989i \(0.982644\pi\)
\(492\) −12.3924 + 46.2489i −0.558690 + 2.08506i
\(493\) −2.81669 + 4.87864i −0.126857 + 0.219723i
\(494\) −3.23841 + 7.83623i −0.145703 + 0.352569i
\(495\) 9.62162 5.55504i 0.432460 0.249681i
\(496\) 14.8906 + 14.8906i 0.668609 + 0.668609i
\(497\) 15.8136 + 8.87106i 0.709339 + 0.397921i
\(498\) 82.3352i 3.68953i
\(499\) 0.475197 + 0.127329i 0.0212727 + 0.00570002i 0.269440 0.963017i \(-0.413161\pi\)
−0.248167 + 0.968717i \(0.579828\pi\)
\(500\) −47.6247 + 12.7610i −2.12984 + 0.570689i
\(501\) 0.977520 0.261926i 0.0436724 0.0117020i
\(502\) −4.75457 1.27398i −0.212207 0.0568607i
\(503\) 15.5328i 0.692575i 0.938128 + 0.346288i \(0.112558\pi\)
−0.938128 + 0.346288i \(0.887442\pi\)
\(504\) 16.3067 0.201702i 0.726359 0.00898452i
\(505\) 4.93301 + 4.93301i 0.219516 + 0.219516i
\(506\) −43.6174 + 25.1825i −1.93903 + 1.11950i
\(507\) −25.6817 6.83663i −1.14056 0.303626i
\(508\) 12.6092 21.8398i 0.559444 0.968985i
\(509\) −9.01478 + 33.6436i −0.399573 + 1.49123i 0.414276 + 0.910151i \(0.364035\pi\)
−0.813849 + 0.581076i \(0.802632\pi\)
\(510\) 16.4247i 0.727297i
\(511\) −9.99251 + 5.93517i −0.442043 + 0.262556i
\(512\) 30.8689 30.8689i 1.36422 1.36422i
\(513\) −3.41949 0.916249i −0.150974 0.0404534i
\(514\) −1.34755 5.02911i −0.0594377 0.221825i
\(515\) −6.59886 + 1.76816i −0.290781 + 0.0779145i
\(516\) 38.6713 22.3269i 1.70241 0.982886i
\(517\) −2.67092 −0.117467
\(518\) −24.5335 6.24957i −1.07794 0.274590i
\(519\) 8.12741i 0.356754i
\(520\) −24.4727 + 18.8102i −1.07320 + 0.824882i
\(521\) 4.95243 + 2.85928i 0.216970 + 0.125268i 0.604546 0.796570i \(-0.293354\pi\)
−0.387577 + 0.921837i \(0.626688\pi\)
\(522\) 2.14286 + 7.99727i 0.0937906 + 0.350031i
\(523\) −23.2231 + 13.4079i −1.01548 + 0.586286i −0.912791 0.408428i \(-0.866077\pi\)
−0.102686 + 0.994714i \(0.532744\pi\)
\(524\) 6.20829 0.271210
\(525\) −8.75356 + 8.97282i −0.382037 + 0.391606i
\(526\) 35.4455 35.4455i 1.54550 1.54550i
\(527\) −2.30231 + 8.59234i −0.100290 + 0.374288i
\(528\) 14.2953 + 53.3507i 0.622122 + 2.32179i
\(529\) −5.23116 + 9.06064i −0.227442 + 0.393941i
\(530\) −25.5873 44.3185i −1.11144 1.92507i
\(531\) 10.0099 10.0099i 0.434391 0.434391i
\(532\) 9.02835 + 5.06468i 0.391429 + 0.219582i
\(533\) −16.2952 12.4827i −0.705825 0.540687i
\(534\) 9.18913 + 15.9160i 0.397652 + 0.688754i
\(535\) −6.05846 + 1.62336i −0.261930 + 0.0701840i
\(536\) 15.8843 27.5123i 0.686096 1.18835i
\(537\) −6.57740 11.3924i −0.283836 0.491618i
\(538\) 2.30766 + 2.30766i 0.0994903 + 0.0994903i
\(539\) 27.7607 29.1692i 1.19574 1.25641i
\(540\) −17.7341 17.7341i −0.763152 0.763152i
\(541\) 5.16622 19.2806i 0.222113 0.828938i −0.761427 0.648250i \(-0.775501\pi\)
0.983541 0.180688i \(-0.0578323\pi\)
\(542\) −58.9465 34.0328i −2.53197 1.46183i
\(543\) −19.0677 11.0087i −0.818273 0.472430i
\(544\) −2.22117 0.595160i −0.0952317 0.0255173i
\(545\) 2.34200 0.100320
\(546\) −17.8642 + 44.7891i −0.764519 + 1.91679i
\(547\) −11.1973 −0.478763 −0.239382 0.970926i \(-0.576945\pi\)
−0.239382 + 0.970926i \(0.576945\pi\)
\(548\) −27.0924 7.25940i −1.15733 0.310106i
\(549\) −5.16662 2.98295i −0.220506 0.127309i
\(550\) −28.5491 16.4828i −1.21734 0.702831i
\(551\) −0.698957 + 2.60854i −0.0297765 + 0.111128i
\(552\) −26.7544 26.7544i −1.13874 1.13874i
\(553\) −11.3904 + 11.6757i −0.484369 + 0.496502i
\(554\) 29.3999 + 29.3999i 1.24908 + 1.24908i
\(555\) −6.47861 11.2213i −0.275001 0.476317i
\(556\) −12.8957 + 22.3359i −0.546898 + 0.947255i
\(557\) −29.9257 + 8.01858i −1.26799 + 0.339758i −0.829262 0.558860i \(-0.811239\pi\)
−0.438732 + 0.898618i \(0.644572\pi\)
\(558\) 6.53683 + 11.3221i 0.276726 + 0.479304i
\(559\) 2.51418 + 18.9778i 0.106338 + 0.802675i
\(560\) 10.3930 + 17.4978i 0.439184 + 0.739415i
\(561\) −16.4976 + 16.4976i −0.696529 + 0.696529i
\(562\) −26.0953 45.1984i −1.10077 1.90658i
\(563\) 17.8356 30.8922i 0.751682 1.30195i −0.195325 0.980739i \(-0.562576\pi\)
0.947007 0.321213i \(-0.104090\pi\)
\(564\) −1.01066 3.77182i −0.0425563 0.158822i
\(565\) −6.44949 + 24.0698i −0.271332 + 1.01262i
\(566\) −54.3490 + 54.3490i −2.28446 + 2.28446i
\(567\) −28.5798 7.28028i −1.20024 0.305743i
\(568\) −35.8220 −1.50306
\(569\) −13.6314 + 7.87011i −0.571459 + 0.329932i −0.757732 0.652566i \(-0.773693\pi\)
0.186273 + 0.982498i \(0.440359\pi\)
\(570\) 2.03788 + 7.60547i 0.0853574 + 0.318558i
\(571\) 4.87728 + 2.81590i 0.204108 + 0.117842i 0.598570 0.801070i \(-0.295736\pi\)
−0.394462 + 0.918912i \(0.629069\pi\)
\(572\) −84.6068 11.0687i −3.53759 0.462805i
\(573\) 4.18405i 0.174791i
\(574\) −26.0080 + 26.6595i −1.08555 + 1.11275i
\(575\) 8.20634 0.342228
\(576\) 6.66596 3.84859i 0.277748 0.160358i
\(577\) −37.0167 + 9.91860i −1.54103 + 0.412917i −0.926597 0.376055i \(-0.877280\pi\)
−0.614429 + 0.788972i \(0.710614\pi\)
\(578\) 8.36052 + 31.2019i 0.347752 + 1.29783i
\(579\) −5.68246 1.52261i −0.236155 0.0632775i
\(580\) −13.5283 + 13.5283i −0.561734 + 0.561734i
\(581\) 21.0842 37.5850i 0.874721 1.55929i
\(582\) 50.7450i 2.10345i
\(583\) 18.8144 70.2162i 0.779212 2.90806i
\(584\) 11.4806 19.8850i 0.475071 0.822847i
\(585\) −6.43128 + 2.67006i −0.265901 + 0.110393i
\(586\) 32.5784 18.8092i 1.34580 0.776999i
\(587\) −18.6594 18.6594i −0.770156 0.770156i 0.207977 0.978134i \(-0.433312\pi\)
−0.978134 + 0.207977i \(0.933312\pi\)
\(588\) 51.6966 + 28.1656i 2.13193 + 1.16153i
\(589\) 4.26435i 0.175710i
\(590\) 46.9582 + 12.5824i 1.93324 + 0.518010i
\(591\) 12.3485 3.30878i 0.507951 0.136105i
\(592\) 17.5564 4.70421i 0.721562 0.193342i
\(593\) 44.0900 + 11.8139i 1.81056 + 0.485138i 0.995544 0.0943021i \(-0.0300619\pi\)
0.815015 + 0.579440i \(0.196729\pi\)
\(594\) 52.9450i 2.17236i
\(595\) −4.20599 + 7.49765i −0.172429 + 0.307374i
\(596\) 7.87696 + 7.87696i 0.322653 + 0.322653i
\(597\) 36.8474 21.2739i 1.50806 0.870681i
\(598\) 29.1548 12.1041i 1.19223 0.494973i
\(599\) −2.34380 + 4.05958i −0.0957650 + 0.165870i −0.909928 0.414767i \(-0.863863\pi\)
0.814163 + 0.580637i \(0.197196\pi\)
\(600\) 6.40973 23.9214i 0.261676 0.976588i
\(601\) 34.8781i 1.42271i 0.702835 + 0.711353i \(0.251917\pi\)
−0.702835 + 0.711353i \(0.748083\pi\)
\(602\) 34.7319 0.429607i 1.41557 0.0175095i
\(603\) 5.06786 5.06786i 0.206379 0.206379i
\(604\) 1.12386 + 0.301137i 0.0457292 + 0.0122531i
\(605\) 9.36458 + 34.9491i 0.380724 + 1.42088i
\(606\) −20.7979 + 5.57277i −0.844855 + 0.226378i
\(607\) 25.8405 14.9190i 1.04884 0.605545i 0.126512 0.991965i \(-0.459622\pi\)
0.922323 + 0.386420i \(0.126288\pi\)
\(608\) −1.10236 −0.0447066
\(609\) −3.79119 + 14.8828i −0.153627 + 0.603082i
\(610\) 20.4880i 0.829536i
\(611\) 1.65992 + 0.217160i 0.0671533 + 0.00878534i
\(612\) −8.33515 4.81230i −0.336928 0.194526i
\(613\) −11.0179 41.1194i −0.445009 1.66080i −0.715912 0.698190i \(-0.753989\pi\)
0.270903 0.962607i \(-0.412678\pi\)
\(614\) 57.3970 33.1382i 2.31636 1.33735i
\(615\) −19.0616 −0.768639
\(616\) −19.6382 + 77.0923i −0.791244 + 3.10614i
\(617\) 13.3408 13.3408i 0.537079 0.537079i −0.385591 0.922670i \(-0.626002\pi\)
0.922670 + 0.385591i \(0.126002\pi\)
\(618\) 5.45720 20.3665i 0.219521 0.819262i
\(619\) 0.745565 + 2.78249i 0.0299668 + 0.111838i 0.979289 0.202466i \(-0.0648956\pi\)
−0.949322 + 0.314304i \(0.898229\pi\)
\(620\) −15.1053 + 26.1631i −0.606643 + 1.05074i
\(621\) 6.58996 + 11.4141i 0.264446 + 0.458034i
\(622\) 19.6649 19.6649i 0.788491 0.788491i
\(623\) 0.118975 + 9.61859i 0.00476662 + 0.385361i
\(624\) −4.54653 34.3186i −0.182007 1.37384i
\(625\) −4.02029 6.96335i −0.160812 0.278534i
\(626\) 69.9875 18.7531i 2.79726 0.749524i
\(627\) −5.59231 + 9.68617i −0.223335 + 0.386828i
\(628\) −2.10302 3.64254i −0.0839196 0.145353i
\(629\) 5.42895 + 5.42895i 0.216466 + 0.216466i
\(630\) 3.42081 + 12.1629i 0.136288 + 0.484580i
\(631\) −25.3632 25.3632i −1.00969 1.00969i −0.999953 0.00973923i \(-0.996900\pi\)
−0.00973923 0.999953i \(-0.503100\pi\)
\(632\) 8.34054 31.1273i 0.331769 1.23818i
\(633\) 27.3773 + 15.8063i 1.08815 + 0.628244i
\(634\) −32.5835 18.8121i −1.29406 0.747124i
\(635\) 9.69760 + 2.59846i 0.384838 + 0.103117i
\(636\) 106.277 4.21416
\(637\) −19.6243 + 15.8710i −0.777542 + 0.628831i
\(638\) −40.3889 −1.59901
\(639\) −7.80613 2.09165i −0.308806 0.0827442i
\(640\) 26.1802 + 15.1151i 1.03486 + 0.597478i
\(641\) −2.83626 1.63751i −0.112025 0.0646779i 0.442940 0.896551i \(-0.353935\pi\)
−0.554966 + 0.831873i \(0.687269\pi\)
\(642\) 5.01029 18.6987i 0.197740 0.737977i
\(643\) 30.3555 + 30.3555i 1.19710 + 1.19710i 0.975030 + 0.222072i \(0.0712821\pi\)
0.222072 + 0.975030i \(0.428718\pi\)
\(644\) −10.4347 37.1009i −0.411183 1.46198i
\(645\) 12.5703 + 12.5703i 0.494955 + 0.494955i
\(646\) −2.33277 4.04047i −0.0917815 0.158970i
\(647\) 16.6342 28.8112i 0.653956 1.13269i −0.328198 0.944609i \(-0.606441\pi\)
0.982154 0.188077i \(-0.0602254\pi\)
\(648\) 56.2808 15.0804i 2.21092 0.592413i
\(649\) 34.5284 + 59.8050i 1.35536 + 2.34755i
\(650\) 16.4025 + 12.5649i 0.643361 + 0.492837i
\(651\) 0.299949 + 24.2496i 0.0117559 + 0.950415i
\(652\) −49.3230 + 49.3230i −1.93164 + 1.93164i
\(653\) 15.4772 + 26.8072i 0.605668 + 1.04905i 0.991946 + 0.126665i \(0.0404272\pi\)
−0.386278 + 0.922382i \(0.626239\pi\)
\(654\) −3.61413 + 6.25986i −0.141324 + 0.244780i
\(655\) 0.639691 + 2.38736i 0.0249948 + 0.0932819i
\(656\) 6.92047 25.8275i 0.270199 1.00840i
\(657\) 3.66288 3.66288i 0.142902 0.142902i
\(658\) 0.749805 2.94346i 0.0292304 0.114748i
\(659\) −43.2836 −1.68609 −0.843045 0.537843i \(-0.819239\pi\)
−0.843045 + 0.537843i \(0.819239\pi\)
\(660\) −68.6211 + 39.6184i −2.67107 + 1.54214i
\(661\) 10.7272 + 40.0343i 0.417238 + 1.55715i 0.780310 + 0.625393i \(0.215061\pi\)
−0.363072 + 0.931761i \(0.618272\pi\)
\(662\) −55.0735 31.7967i −2.14049 1.23581i
\(663\) 11.5942 8.91157i 0.450283 0.346097i
\(664\) 85.1395i 3.30406i
\(665\) −1.01733 + 3.99365i −0.0394502 + 0.154867i
\(666\) 11.2839 0.437243
\(667\) 8.70723 5.02712i 0.337145 0.194651i
\(668\) −1.96714 + 0.527095i −0.0761111 + 0.0203939i
\(669\) −12.4989 46.6466i −0.483236 1.80346i
\(670\) 23.7743 + 6.37031i 0.918482 + 0.246106i
\(671\) 20.5790 20.5790i 0.794443 0.794443i
\(672\) −6.26864 + 0.0775384i −0.241818 + 0.00299111i
\(673\) 12.5591i 0.484116i −0.970262 0.242058i \(-0.922178\pi\)
0.970262 0.242058i \(-0.0778224\pi\)
\(674\) 2.38498 8.90085i 0.0918659 0.342848i
\(675\) −4.31336 + 7.47095i −0.166021 + 0.287557i
\(676\) 51.6814 + 13.7579i 1.98775 + 0.529151i
\(677\) 7.26874 4.19661i 0.279361 0.161289i −0.353773 0.935331i \(-0.615102\pi\)
0.633134 + 0.774042i \(0.281768\pi\)
\(678\) −54.3828 54.3828i −2.08856 2.08856i
\(679\) −12.9947 + 23.1644i −0.498689 + 0.888969i
\(680\) 16.9841i 0.651310i
\(681\) −42.3651 11.3517i −1.62344 0.434998i
\(682\) −61.6034 + 16.5066i −2.35892 + 0.632070i
\(683\) −10.1611 + 2.72266i −0.388804 + 0.104180i −0.447925 0.894071i \(-0.647837\pi\)
0.0591213 + 0.998251i \(0.481170\pi\)
\(684\) −4.45668 1.19416i −0.170406 0.0456600i
\(685\) 11.1662i 0.426640i
\(686\) 24.3524 + 38.7820i 0.929780 + 1.48070i
\(687\) 1.46301 + 1.46301i 0.0558174 + 0.0558174i
\(688\) −21.5959 + 12.4684i −0.823334 + 0.475352i
\(689\) −17.4017 + 42.1082i −0.662951 + 1.60419i
\(690\) 14.6571 25.3868i 0.557986 0.966460i
\(691\) 9.10526 33.9813i 0.346380 1.29271i −0.544611 0.838689i \(-0.683323\pi\)
0.890991 0.454021i \(-0.150011\pi\)
\(692\) 16.3555i 0.621741i
\(693\) −8.78086 + 15.6529i −0.333557 + 0.594603i
\(694\) 23.6787 23.6787i 0.898830 0.898830i
\(695\) −9.91789 2.65749i −0.376207 0.100804i
\(696\) −7.85306 29.3080i −0.297670 1.11092i
\(697\) 10.9099 2.92331i 0.413244 0.110728i
\(698\) −65.3506 + 37.7302i −2.47356 + 1.42811i
\(699\) −4.44844 −0.168256
\(700\) 17.6155 18.0567i 0.665803 0.682481i
\(701\) 0.321018i 0.0121247i −0.999982 0.00606234i \(-0.998070\pi\)
0.999982 0.00606234i \(-0.00192972\pi\)
\(702\) −4.30470 + 32.9042i −0.162470 + 1.24189i
\(703\) 3.18748 + 1.84029i 0.120218 + 0.0694078i
\(704\) 9.71834 + 36.2693i 0.366274 + 1.36695i
\(705\) 1.34630 0.777284i 0.0507044 0.0292742i
\(706\) −6.85348 −0.257934
\(707\) −10.9210 2.78197i −0.410727 0.104627i
\(708\) −71.3901 + 71.3901i −2.68300 + 2.68300i
\(709\) 6.48436 24.2000i 0.243525 0.908849i −0.730593 0.682813i \(-0.760757\pi\)
0.974119 0.226036i \(-0.0725768\pi\)
\(710\) −7.18311 26.8077i −0.269577 1.00608i
\(711\) 3.63505 6.29609i 0.136325 0.236122i
\(712\) −9.50210 16.4581i −0.356106 0.616794i
\(713\) 11.2262 11.2262i 0.420425 0.420425i
\(714\) −13.5497 22.8123i −0.507083 0.853731i
\(715\) −4.46134 33.6755i −0.166844 1.25939i
\(716\) 13.2362 + 22.9258i 0.494662 + 0.856779i
\(717\) 22.9009 6.13629i 0.855252 0.229164i
\(718\) 11.2758 19.5303i 0.420809 0.728863i
\(719\) −15.5251 26.8903i −0.578990 1.00284i −0.995596 0.0937521i \(-0.970114\pi\)
0.416606 0.909087i \(-0.363219\pi\)
\(720\) −6.41402 6.41402i −0.239036 0.239036i
\(721\) 7.70655 7.89959i 0.287007 0.294196i
\(722\) 31.6385 + 31.6385i 1.17746 + 1.17746i
\(723\) −3.40335 + 12.7015i −0.126572 + 0.472373i
\(724\) 38.3715 + 22.1538i 1.42607 + 0.823339i
\(725\) 5.69918 + 3.29043i 0.211662 + 0.122203i
\(726\) −107.866 28.9025i −4.00327 1.07267i
\(727\) −40.0423 −1.48509 −0.742543 0.669798i \(-0.766381\pi\)
−0.742543 + 0.669798i \(0.766381\pi\)
\(728\) 18.4727 46.3146i 0.684644 1.71653i
\(729\) −9.68335 −0.358642
\(730\) 17.1833 + 4.60424i 0.635982 + 0.170411i
\(731\) −9.12242 5.26683i −0.337405 0.194801i
\(732\) 36.8482 + 21.2743i 1.36195 + 0.786321i
\(733\) −3.55628 + 13.2722i −0.131354 + 0.490221i −0.999986 0.00523707i \(-0.998333\pi\)
0.868632 + 0.495458i \(0.165000\pi\)
\(734\) 21.1975 + 21.1975i 0.782414 + 0.782414i
\(735\) −5.50419 + 22.7818i −0.203025 + 0.840318i
\(736\) 2.90204 + 2.90204i 0.106971 + 0.106971i
\(737\) 17.4813 + 30.2785i 0.643931 + 1.11532i
\(738\) 8.30001 14.3760i 0.305528 0.529189i
\(739\) 32.3701 8.67355i 1.19075 0.319062i 0.391570 0.920148i \(-0.371932\pi\)
0.799184 + 0.601087i \(0.205265\pi\)
\(740\) 13.0374 + 22.5815i 0.479265 + 0.830112i
\(741\) 4.26304 5.56506i 0.156607 0.204438i
\(742\) 72.0993 + 40.4459i 2.64685 + 1.48482i
\(743\) 16.7361 16.7361i 0.613988 0.613988i −0.329994 0.943983i \(-0.607047\pi\)
0.943983 + 0.329994i \(0.107047\pi\)
\(744\) −23.9559 41.4928i −0.878265 1.52120i
\(745\) −2.21741 + 3.84066i −0.0812396 + 0.140711i
\(746\) −17.7305 66.1712i −0.649161 2.42270i
\(747\) −4.97130 + 18.5531i −0.181890 + 0.678824i
\(748\) 33.1995 33.1995i 1.21389 1.21389i
\(749\) 7.07544 7.25267i 0.258531 0.265007i
\(750\) 60.5813 2.21212
\(751\) −9.94812 + 5.74355i −0.363012 + 0.209585i −0.670401 0.741999i \(-0.733878\pi\)
0.307389 + 0.951584i \(0.400545\pi\)
\(752\) 0.564398 + 2.10636i 0.0205815 + 0.0768111i
\(753\) 3.52440 + 2.03482i 0.128436 + 0.0741528i
\(754\) 25.1008 + 3.28382i 0.914118 + 0.119590i
\(755\) 0.463202i 0.0168576i
\(756\) 39.2608 + 10.0011i 1.42790 + 0.363737i
\(757\) −17.1190 −0.622200 −0.311100 0.950377i \(-0.600697\pi\)
−0.311100 + 0.950377i \(0.600697\pi\)
\(758\) 5.98198 3.45370i 0.217275 0.125444i
\(759\) 40.2217 10.7774i 1.45996 0.391194i
\(760\) −2.10729 7.86451i −0.0764394 0.285276i
\(761\) 33.0119 + 8.84550i 1.19668 + 0.320649i 0.801522 0.597965i \(-0.204024\pi\)
0.395156 + 0.918614i \(0.370690\pi\)
\(762\) −21.9106 + 21.9106i −0.793736 + 0.793736i
\(763\) −3.25282 + 1.93205i −0.117760 + 0.0699448i
\(764\) 8.41991i 0.304622i
\(765\) 0.991702 3.70108i 0.0358550 0.133813i
\(766\) −22.4767 + 38.9307i −0.812115 + 1.40663i
\(767\) −16.5962 39.9749i −0.599256 1.44341i
\(768\) −57.6894 + 33.3070i −2.08169 + 1.20186i
\(769\) 5.13005 + 5.13005i 0.184994 + 0.184994i 0.793528 0.608534i \(-0.208242\pi\)
−0.608534 + 0.793528i \(0.708242\pi\)
\(770\) −61.6307 + 0.762326i −2.22102 + 0.0274723i
\(771\) 4.30462i 0.155027i
\(772\) 11.4353 + 3.06407i 0.411565 + 0.110278i
\(773\) −20.9363 + 5.60986i −0.753026 + 0.201773i −0.614860 0.788636i \(-0.710787\pi\)
−0.138166 + 0.990409i \(0.544121\pi\)