Properties

Label 91.2.bb.a.47.8
Level $91$
Weight $2$
Character 91.47
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 47.8
Character \(\chi\) \(=\) 91.47
Dual form 91.2.bb.a.31.8

$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{6}\right)\)

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 0.718753 0.695266i \(-0.244713\pi\)
0.970091 + 0.242741i \(0.0780466\pi\)
\(3\) −1.77043 + 1.02216i −1.02216 + 0.590143i −0.914728 0.404070i \(-0.867595\pi\)
−0.107429 + 0.994213i \(0.534262\pi\)
\(4\) 3.56278 2.05697i 1.78139 1.02849i
\(5\) −0.423894 1.58199i −0.189571 0.707488i −0.993606 0.112906i \(-0.963984\pi\)
0.804035 0.594582i \(-0.202683\pi\)
\(6\) −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 −0.708811 0.705399i \(-0.750768\pi\)
−0.966547 + 0.256488i \(0.917435\pi\)
\(12\) −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 0.720294 0.693669i \(-0.244007\pi\)
−0.960882 + 0.276959i \(0.910673\pi\)
\(18\) 0.754664 2.81644i 0.177876 0.663842i
\(19\) −0.246155 0.918664i −0.0564719 0.210756i 0.931925 0.362652i \(-0.118129\pi\)
−0.988396 + 0.151896i \(0.951462\pi\)
\(20\) −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 0.784385 0.620274i \(-0.212979\pi\)
−0.144981 + 0.989434i \(0.546312\pi\)
\(24\) −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 0.625842 0.779950i \(-0.284755\pi\)
0.152021 + 0.988377i \(0.451422\pi\)
\(32\) 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 0.998083 + 0.0618923i \(0.0197135\pi\)
−0.833419 + 0.552642i \(0.813620\pi\)
\(38\) −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 −0.947741 0.319040i \(-0.896640\pi\)
0.319040 + 0.947741i \(0.396640\pi\)
\(42\) −6.54318 11.6639i −1.00963 1.79979i
\(43\) 5.30948i 0.809688i −0.914386 0.404844i \(-0.867326\pi\)
0.914386 0.404844i \(-0.132674\pi\)
\(44\) −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 −0.225962 0.974136i \(-0.572552\pi\)
0.291380 + 0.956608i \(0.405886\pi\)
\(48\) 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 −0.864147 0.503239i \(-0.832141\pi\)
−0.00374432 0.999993i \(-0.501192\pi\)
\(54\) −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 0.400480 + 0.916305i \(0.368843\pi\)
−0.804979 + 0.593304i \(0.797823\pi\)
\(60\) 13.3049 + 3.56503i 1.71765 + 0.460243i
\(61\) −4.38137 2.52958i −0.560977 0.323880i 0.192561 0.981285i \(-0.438321\pi\)
−0.753537 + 0.657405i \(0.771654\pi\)
\(62\) 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 0.800802 + 0.598929i \(0.204407\pi\)
−0.992980 + 0.118286i \(0.962260\pi\)
\(68\) −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 0.358442 0.933552i \(-0.383308\pi\)
−0.933552 + 0.358442i \(0.883308\pi\)
\(72\) −1.59532 5.95380i −0.188010 0.701663i
\(73\) −1.13694 + 4.24311i −0.133069 + 0.496619i −0.999998 0.00181149i \(-0.999423\pi\)
0.866930 + 0.498430i \(0.166090\pi\)
\(74\) 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 −0.985682 0.168614i \(-0.946071\pi\)
0.638865 + 0.769319i \(0.279404\pi\)
\(80\) −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 0.315194 0.949027i \(-0.397930\pi\)
0.949027 0.315194i \(-0.102070\pi\)
\(84\) −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 −0.440098 0.897950i \(-0.645056\pi\)
0.0678393 + 0.997696i \(0.478389\pi\)
\(90\) −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 −0.968758 0.248009i \(-0.920224\pi\)
0.248009 + 0.968758i \(0.420224\pi\)
\(98\) −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 0.952316 0.305114i \(-0.0986944\pi\)
−0.740394 + 0.672173i \(0.765361\pi\)
\(102\) 9.68679 + 2.59557i 0.959135 + 0.257000i
\(103\) 2.08562 3.61240i 0.205502 0.355940i −0.744790 0.667298i \(-0.767451\pi\)
0.950293 + 0.311358i \(0.100784\pi\)
\(104\) 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 −0.758502 0.651671i \(-0.774068\pi\)
0.943615 + 0.331046i \(0.107402\pi\)
\(108\) −7.65654 13.2615i −0.736751 1.27609i
\(109\) −0.370102 + 1.38124i −0.0354494 + 0.132299i −0.981383 0.192062i \(-0.938483\pi\)
0.945933 + 0.324361i \(0.105149\pi\)
\(110\) 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 \(0.0876766\pi\)
−0.962304 + 0.271974i \(0.912323\pi\)
\(128\) 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 0.556005 0.831179i \(-0.312334\pi\)
−0.441820 + 0.897104i \(0.645667\pi\)
\(132\) 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 −0.0337203 0.999431i \(-0.510736\pi\)
−0.528918 + 0.848673i \(0.677402\pi\)
\(138\) −17.2886 + 4.63248i −1.47171 + 0.394343i
\(139\) 6.26924i 0.531750i −0.964007 0.265875i \(-0.914339\pi\)
0.964007 0.265875i \(-0.0856609\pi\)
\(140\) 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 −0.150086 0.988673i \(-0.547955\pi\)
0.364358 + 0.931259i \(0.381288\pi\)
\(150\) −3.03212 + 11.3160i −0.247571 + 0.923949i
\(151\) 0.273183 + 0.0731992i 0.0222313 + 0.00595686i 0.269918 0.962883i \(-0.413004\pi\)
−0.247686 + 0.968840i \(0.579670\pi\)
\(152\) −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 −0.534916 0.844906i \(-0.679657\pi\)
0.464252 + 0.885703i \(0.346323\pi\)
\(158\) −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 −0.894097 0.447874i \(-0.852181\pi\)
0.550374 0.834918i \(-0.314485\pi\)
\(164\) −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 0.693434 0.720521i \(-0.256097\pi\)
−0.720521 + 0.693434i \(0.756097\pi\)
\(168\) −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 −0.931643 0.363374i \(-0.881625\pi\)
0.780513 + 0.625139i \(0.214958\pi\)
\(174\) −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 −0.277065 0.960851i \(-0.589362\pi\)
0.693589 + 0.720371i \(0.256028\pi\)
\(180\) −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 −0.900671 0.434502i \(-0.856925\pi\)
0.826625 + 0.562753i \(0.190258\pi\)
\(192\) −6.67196 11.5562i −0.481507 0.833995i
\(193\) 2.77964 + 0.744802i 0.200083 + 0.0536120i 0.357469 0.933925i \(-0.383640\pi\)
−0.157386 + 0.987537i \(0.550307\pi\)
\(194\) −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 0.531814 0.846861i \(-0.321511\pi\)
−0.846861 + 0.531814i \(0.821511\pi\)
\(198\) −8.38663 + 14.5261i −0.596012 + 1.03232i
\(199\) −10.4063 18.0243i −0.737687 1.27771i −0.953535 0.301284i \(-0.902585\pi\)
0.215848 0.976427i \(-0.430748\pi\)
\(200\) 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 0.126611 0.991953i \(-0.459590\pi\)
0.991953 0.126611i \(-0.0404098\pi\)
\(224\) 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 0.869470 0.493986i \(-0.164461\pi\)
0.505990 + 0.862539i \(0.331127\pi\)
\(228\) 7.72615 + 2.07022i 0.511677 + 0.137103i
\(229\) −0.977595 + 0.261946i −0.0646013 + 0.0173099i −0.290975 0.956731i \(-0.593980\pi\)
0.226374 + 0.974041i \(0.427313\pi\)
\(230\) 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 0.560456 0.828184i \(-0.310626\pi\)
−0.437000 + 0.899461i \(0.643959\pi\)
\(234\) 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 0.390253 0.920708i \(-0.372387\pi\)
−0.920708 + 0.390253i \(0.872387\pi\)
\(240\) 15.1894 4.06998i 0.980470 0.262716i
\(241\) −1.66479 + 6.21307i −0.107238 + 0.400219i −0.998589 0.0530945i \(-0.983092\pi\)
0.891351 + 0.453314i \(0.149758\pi\)
\(242\) 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 −0.896993 0.442046i \(-0.854253\pi\)
0.831319 + 0.555796i \(0.187586\pi\)
\(258\) 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 0.988533 + 0.151004i \(0.0482507\pi\)
−0.363493 + 0.931597i \(0.618416\pi\)
\(264\) 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 −0.464749 0.885442i \(-0.653856\pi\)
0.534441 + 0.845206i \(0.320522\pi\)
\(270\) −13.0544 + 7.53695i −0.794464 + 0.458684i
\(271\) −26.5895 + 7.12464i −1.61520 + 0.432791i −0.949586 0.313508i \(-0.898496\pi\)
−0.665611 + 0.746298i \(0.731829\pi\)
\(272\) −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 0.00597071 0.999982i \(-0.498099\pi\)
0.868995 + 0.494820i \(0.164766\pi\)
\(278\) −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 −0.994556 0.104200i \(-0.966772\pi\)
0.104200 + 0.994556i \(0.466772\pi\)
\(282\) −1.17349 + 2.03255i −0.0698804 + 0.121036i
\(283\) −15.5423 26.9201i −0.923895 1.60023i −0.793328 0.608794i \(-0.791654\pi\)
−0.130567 0.991440i \(-0.541680\pi\)
\(284\) −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 0.947685 0.319207i \(-0.103417\pi\)
−0.319207 + 0.947685i \(0.603417\pi\)
\(294\) 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 0.996349 + 0.0853681i \(0.0272066\pi\)
0.0853681 + 0.996349i \(0.472793\pi\)
\(308\) 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 0.980256 0.197733i \(-0.0633578\pi\)
−0.661370 + 0.750060i \(0.730024\pi\)
\(312\) −14.7729 + 35.5830i −0.836350 + 2.01449i
\(313\) 25.3774 + 14.6516i 1.43441 + 0.828159i 0.997453 0.0713218i \(-0.0227217\pi\)
0.436960 + 0.899481i \(0.356055\pi\)
\(314\) −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 −0.646752 0.762700i \(-0.723873\pi\)
−0.178754 + 0.983894i \(0.557207\pi\)
\(318\) 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 −0.865821 0.500354i \(-0.833203\pi\)
−0.499646 + 0.866230i \(0.666536\pi\)
\(332\) 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 \(0.0323654\pi\)
−0.994835 + 0.101504i \(0.967635\pi\)
\(338\) 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 0.988536 0.150986i \(-0.0482447\pi\)
−0.625025 + 0.780604i \(0.714911\pi\)
\(348\) −11.9404 + 20.6813i −0.640070 + 1.10863i
\(349\) −21.5796 21.5796i −1.15513 1.15513i −0.985509 0.169620i \(-0.945746\pi\)
−0.169620 0.985509i \(-0.554254\pi\)
\(350\) 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 0.186865 0.982386i \(-0.440167\pi\)
−0.329363 + 0.944204i \(0.606834\pi\)
\(354\) −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 0.999825 0.0187320i \(-0.00596294\pi\)
−0.875239 + 0.483690i \(0.839296\pi\)
\(360\) −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 −0.200273 0.979740i \(-0.564183\pi\)
0.748343 + 0.663311i \(0.230850\pi\)
\(368\) 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 0.244813 + 0.969570i \(0.421273\pi\)
−0.962079 + 0.272771i \(0.912060\pi\)
\(374\) 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 0.756017 0.654552i \(-0.227143\pi\)
−0.654552 + 0.756017i \(0.727143\pi\)
\(380\) −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 −0.975623 0.219453i \(-0.929573\pi\)
0.735188 0.677864i \(-0.237094\pi\)
\(384\) −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 −0.615965 0.787773i \(-0.711234\pi\)
0.374249 + 0.927328i \(0.377900\pi\)
\(390\) 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 −0.806252 0.591572i \(-0.798507\pi\)
−0.402449 + 0.915443i \(0.631841\pi\)
\(398\) −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 0.892676 0.450698i \(-0.148825\pi\)
−0.998430 + 0.0560222i \(0.982158\pi\)
\(402\) −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 0.364408 0.931239i \(-0.381271\pi\)
−0.150033 + 0.988681i \(0.547938\pi\)
\(410\) 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 \(0.328623\pi\)
−0.512760 + 0.858532i \(0.671377\pi\)
\(420\) −18.6105 + 31.3329i −0.908101 + 1.52889i
\(421\) 24.7123 + 24.7123i 1.20440 + 1.20440i 0.972814 + 0.231589i \(0.0743926\pi\)
0.231589 + 0.972814i \(0.425607\pi\)
\(422\) −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 −0.267437 0.963575i \(-0.586177\pi\)
0.713395 0.700763i \(-0.247157\pi\)
\(432\) −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 −0.810164 0.586204i \(-0.800622\pi\)
0.912749 + 0.408520i \(0.133955\pi\)
\(440\) 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 −0.635924 0.771752i \(-0.719381\pi\)
0.986319 + 0.164851i \(0.0527142\pi\)
\(444\) −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 −0.955360 0.295445i \(-0.904532\pi\)
0.295445 + 0.955360i \(0.404532\pi\)
\(450\) −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 0.510408 0.859932i \(-0.329494\pi\)
0.871992 + 0.489519i \(0.162828\pi\)
\(458\) −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 −0.802082 0.597214i \(-0.796274\pi\)
0.597214 + 0.802082i \(0.296274\pi\)
\(462\) 18.9913 + 74.5531i 0.883556 + 3.46852i
\(463\) 6.67812 6.67812i 0.310358 0.310358i −0.534690 0.845048i \(-0.679572\pi\)
0.845048 + 0.534690i \(0.179572\pi\)
\(464\) 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 −0.0321149 + 0.999484i \(0.510224\pi\)
−0.849521 + 0.527554i \(0.823109\pi\)
\(468\) 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 −0.862686 0.505739i \(-0.831220\pi\)
0.999978 0.00663970i \(-0.00211350\pi\)
\(480\) 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 −0.440008 0.897994i \(-0.645024\pi\)
0.830055 0.557681i \(-0.188309\pi\)
\(488\) −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 \(-0.982644\pi\)
0.998514 0.0544989i \(-0.0173561\pi\)
\(492\) −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 −0.248167 0.968717i \(-0.579828\pi\)
0.269440 + 0.963017i \(0.413161\pi\)
\(500\) −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 \(-0.887442\pi\)
0.938128 0.346288i \(-0.112558\pi\)
\(504\) 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 −0.813849 0.581076i \(-0.802632\pi\)
0.414276 0.910151i \(-0.364035\pi\)
\(510\) 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 −0.387577 0.921837i \(-0.626688\pi\)
0.604546 + 0.796570i \(0.293354\pi\)
\(522\) 2.14286 7.99727i 0.0937906 0.350031i
\(523\) −23.2231 13.4079i −1.01548 0.586286i −0.102686 0.994714i \(-0.532744\pi\)
−0.912791 + 0.408428i \(0.866077\pi\)
\(524\) 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 0.983541 + 0.180688i \(0.0578323\pi\)
−0.761427 + 0.648250i \(0.775501\pi\)
\(542\) −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 −0.438732 0.898618i \(-0.644572\pi\)
−0.829262 + 0.558860i \(0.811239\pi\)
\(558\) 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 0.947007 + 0.321213i \(0.104090\pi\)
−0.195325 + 0.980739i \(0.562576\pi\)
\(564\) −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 0.186273 0.982498i \(-0.440359\pi\)
−0.757732 + 0.652566i \(0.773693\pi\)
\(570\) 2.03788 7.60547i 0.0853574 0.318558i
\(571\) 4.87728 2.81590i 0.204108 0.117842i −0.394462 0.918912i \(-0.629069\pi\)
0.598570 + 0.801070i \(0.295736\pi\)
\(572\) −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 −0.614429 0.788972i \(-0.710614\pi\)
−0.926597 + 0.376055i \(0.877280\pi\)
\(578\) 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 −0.978134 0.207977i \(-0.933312\pi\)
0.207977 + 0.978134i \(0.433312\pi\)
\(588\) 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 0.815015 0.579440i \(-0.196729\pi\)
0.995544 + 0.0943021i \(0.0300619\pi\)
\(594\) 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 0.814163 0.580637i \(-0.197196\pi\)
−0.909928 + 0.414767i \(0.863863\pi\)
\(600\) 6.40973 + 23.9214i 0.261676 + 0.976588i
\(601\) 34.8781i 1.42271i −0.702835 0.711353i \(-0.748083\pi\)
0.702835 0.711353i \(-0.251917\pi\)
\(602\) 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 0.922323 0.386420i \(-0.126288\pi\)
0.126512 + 0.991965i \(0.459622\pi\)
\(608\) −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 0.270903 + 0.962607i \(0.412678\pi\)
−0.715912 + 0.698190i \(0.753989\pi\)
\(614\) 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 0.922670 0.385591i \(-0.126002\pi\)
−0.385591 + 0.922670i \(0.626002\pi\)
\(618\) 5.45720 + 20.3665i 0.219521 + 0.819262i
\(619\) 0.745565 2.78249i 0.0299668 0.111838i −0.949322 0.314304i \(-0.898229\pi\)
0.979289 + 0.202466i \(0.0648956\pi\)
\(620\) −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 −0.00973923 + 0.999953i \(0.503100\pi\)
−0.999953 + 0.00973923i \(0.996900\pi\)
\(632\) 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 −0.554966 0.831873i \(-0.687269\pi\)
0.442940 + 0.896551i \(0.353935\pi\)
\(642\) 5.01029 + 18.6987i 0.197740 + 0.737977i
\(643\) 30.3555 30.3555i 1.19710 1.19710i 0.222072 0.975030i \(-0.428718\pi\)
0.975030 0.222072i \(-0.0712821\pi\)
\(644\) −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 0.982154 + 0.188077i \(0.0602254\pi\)
−0.328198 + 0.944609i \(0.606441\pi\)
\(648\) 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 −0.386278 0.922382i \(-0.626239\pi\)
0.991946 0.126665i \(-0.0404272\pi\)
\(654\) −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 −0.363072 0.931761i \(-0.618272\pi\)
0.780310 0.625393i \(-0.215061\pi\)
\(662\) −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 \(0.0778224\pi\)
−0.970262 + 0.242058i \(0.922178\pi\)
\(674\) 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 0.633134 0.774042i \(-0.281768\pi\)
−0.353773 + 0.935331i \(0.615102\pi\)
\(678\) −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 0.0591213 0.998251i \(-0.481170\pi\)
−0.447925 + 0.894071i \(0.647837\pi\)
\(684\) −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 0.890991 + 0.454021i \(0.150011\pi\)
−0.544611 + 0.838689i \(0.683323\pi\)
\(692\) 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 \(0.00192972\pi\)
−0.999982 + 0.00606234i \(0.998070\pi\)
\(702\) −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 0.974119 + 0.226036i \(0.0725768\pi\)
−0.730593 + 0.682813i \(0.760757\pi\)
\(710\) −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 0.416606 + 0.909087i \(0.363219\pi\)
−0.995596 + 0.0937521i \(0.970114\pi\)
\(720\) −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 0.868632 0.495458i \(-0.165000\pi\)
−0.999986 + 0.00523707i \(0.998333\pi\)
\(734\) 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 0.799184 0.601087i \(-0.205265\pi\)
0.391570 + 0.920148i \(0.371932\pi\)
\(740\) 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 0.943983 0.329994i \(-0.107047\pi\)
−0.329994 + 0.943983i \(0.607047\pi\)
\(744\) −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 0.307389 0.951584i \(-0.400545\pi\)
−0.670401 + 0.741999i \(0.733878\pi\)
\(752\) 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 0.395156 0.918614i \(-0.370690\pi\)
0.801522 + 0.597965i \(0.204024\pi\)
\(762\) −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 −0.608534 0.793528i \(-0.708242\pi\)
0.793528 + 0.608534i \(0.208242\pi\)
\(770\) −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 −0.138166 0.990409i \(-0.544121\pi\)
−0.614860 + 0.788636i