Properties

Label 224.2.u.c.29.13
Level $224$
Weight $2$
Character 224.29
Analytic conductor $1.789$
Analytic rank $0$
Dimension $52$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 224.u (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.78864900528\)
Analytic rank: \(0\)
Dimension: \(52\)
Relative dimension: \(13\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 29.13
Character \(\chi\) \(=\) 224.29
Dual form 224.2.u.c.85.13

$q$-expansion

\(f(q)\) \(=\) \(q+(1.41405 - 0.0212810i) q^{2} +(0.496926 + 0.205834i) q^{3} +(1.99909 - 0.0601851i) q^{4} +(-0.334218 - 0.806875i) q^{5} +(0.707060 + 0.280485i) q^{6} +(0.707107 - 0.707107i) q^{7} +(2.82555 - 0.127648i) q^{8} +(-1.91675 - 1.91675i) q^{9} +O(q^{10})\) \(q+(1.41405 - 0.0212810i) q^{2} +(0.496926 + 0.205834i) q^{3} +(1.99909 - 0.0601851i) q^{4} +(-0.334218 - 0.806875i) q^{5} +(0.707060 + 0.280485i) q^{6} +(0.707107 - 0.707107i) q^{7} +(2.82555 - 0.127648i) q^{8} +(-1.91675 - 1.91675i) q^{9} +(-0.489774 - 1.13385i) q^{10} +(-1.07955 + 0.447164i) q^{11} +(1.00579 + 0.381573i) q^{12} +(-2.19312 + 5.29465i) q^{13} +(0.984839 - 1.01493i) q^{14} -0.469750i q^{15} +(3.99276 - 0.240631i) q^{16} +5.25492i q^{17} +(-2.75118 - 2.66960i) q^{18} +(0.514732 - 1.24267i) q^{19} +(-0.716696 - 1.59290i) q^{20} +(0.496926 - 0.205834i) q^{21} +(-1.51703 + 0.655288i) q^{22} +(-2.43163 - 2.43163i) q^{23} +(1.43036 + 0.518161i) q^{24} +(2.99619 - 2.99619i) q^{25} +(-2.98851 + 7.53359i) q^{26} +(-1.17545 - 2.83779i) q^{27} +(1.37102 - 1.45613i) q^{28} +(-4.18437 - 1.73322i) q^{29} +(-0.00999678 - 0.664252i) q^{30} -9.89288 q^{31} +(5.64085 - 0.425235i) q^{32} -0.628498 q^{33} +(0.111830 + 7.43074i) q^{34} +(-0.806875 - 0.334218i) q^{35} +(-3.94713 - 3.71641i) q^{36} +(3.67190 + 8.86475i) q^{37} +(0.701413 - 1.76816i) q^{38} +(-2.17963 + 2.17963i) q^{39} +(-1.04734 - 2.23720i) q^{40} +(-0.791489 - 0.791489i) q^{41} +(0.698300 - 0.301635i) q^{42} +(9.17907 - 3.80210i) q^{43} +(-2.13121 + 0.958897i) q^{44} +(-0.905965 + 2.18719i) q^{45} +(-3.49021 - 3.38671i) q^{46} -8.22934i q^{47} +(2.03363 + 0.702267i) q^{48} -1.00000i q^{49} +(4.17301 - 4.30053i) q^{50} +(-1.08164 + 2.61131i) q^{51} +(-4.06559 + 10.7165i) q^{52} +(-8.10656 + 3.35785i) q^{53} +(-1.72254 - 3.98778i) q^{54} +(0.721611 + 0.721611i) q^{55} +(1.90770 - 2.08822i) q^{56} +(0.511567 - 0.511567i) q^{57} +(-5.95381 - 2.36182i) q^{58} +(0.401407 + 0.969082i) q^{59} +(-0.0282720 - 0.939075i) q^{60} +(3.36303 + 1.39301i) q^{61} +(-13.9891 + 0.210531i) q^{62} -2.71070 q^{63} +(7.96741 - 0.721349i) q^{64} +5.00510 q^{65} +(-0.888730 + 0.0133751i) q^{66} +(2.04308 + 0.846272i) q^{67} +(0.316268 + 10.5051i) q^{68} +(-0.707831 - 1.70885i) q^{69} +(-1.14808 - 0.455432i) q^{70} +(4.30961 - 4.30961i) q^{71} +(-5.66054 - 5.17120i) q^{72} +(3.26137 + 3.26137i) q^{73} +(5.38092 + 12.4571i) q^{74} +(2.10560 - 0.872169i) q^{75} +(0.954207 - 2.51520i) q^{76} +(-0.447164 + 1.07955i) q^{77} +(-3.03573 + 3.12850i) q^{78} -6.77522i q^{79} +(-1.52861 - 3.14123i) q^{80} +6.47997i q^{81} +(-1.13605 - 1.10236i) q^{82} +(-3.03795 + 7.33426i) q^{83} +(0.981014 - 0.441388i) q^{84} +(4.24006 - 1.75629i) q^{85} +(12.8988 - 5.57171i) q^{86} +(-1.72257 - 1.72257i) q^{87} +(-2.99324 + 1.40129i) q^{88} +(11.9975 - 11.9975i) q^{89} +(-1.23454 + 3.11209i) q^{90} +(2.19312 + 5.29465i) q^{91} +(-5.00741 - 4.71472i) q^{92} +(-4.91603 - 2.03629i) q^{93} +(-0.175129 - 11.6367i) q^{94} -1.17471 q^{95} +(2.89061 + 0.949765i) q^{96} +3.11750 q^{97} +(-0.0212810 - 1.41405i) q^{98} +(2.92633 + 1.21213i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 52 q - 20 q^{6} + O(q^{10}) \) \( 52 q - 20 q^{6} - 8 q^{10} + 12 q^{12} - 12 q^{16} - 20 q^{18} + 20 q^{22} - 20 q^{23} - 8 q^{24} + 20 q^{26} - 24 q^{27} - 8 q^{28} + 20 q^{30} + 60 q^{32} - 48 q^{33} + 48 q^{34} + 8 q^{36} - 60 q^{38} - 24 q^{39} + 20 q^{40} - 44 q^{43} + 32 q^{44} + 40 q^{45} - 32 q^{46} - 84 q^{48} - 124 q^{50} + 16 q^{51} - 32 q^{52} - 36 q^{53} + 96 q^{54} + 32 q^{55} + 16 q^{56} + 4 q^{58} - 92 q^{60} - 32 q^{61} + 12 q^{62} + 68 q^{63} + 48 q^{64} + 80 q^{65} + 16 q^{66} + 28 q^{67} - 4 q^{68} - 32 q^{69} + 8 q^{70} - 88 q^{72} + 36 q^{74} + 32 q^{75} + 96 q^{76} - 12 q^{77} + 12 q^{78} - 108 q^{80} - 96 q^{82} + 64 q^{85} + 76 q^{86} - 56 q^{87} + 104 q^{88} - 132 q^{90} + 32 q^{92} - 4 q^{94} - 64 q^{95} + 8 q^{96} - 72 q^{97} - 64 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{3}{8}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.41405 0.0212810i 0.999887 0.0150480i
\(3\) 0.496926 + 0.205834i 0.286900 + 0.118838i 0.521493 0.853256i \(-0.325375\pi\)
−0.234592 + 0.972094i \(0.575375\pi\)
\(4\) 1.99909 0.0601851i 0.999547 0.0300925i
\(5\) −0.334218 0.806875i −0.149467 0.360845i 0.831358 0.555738i \(-0.187564\pi\)
−0.980825 + 0.194893i \(0.937564\pi\)
\(6\) 0.707060 + 0.280485i 0.288656 + 0.114507i
\(7\) 0.707107 0.707107i 0.267261 0.267261i
\(8\) 2.82555 0.127648i 0.998981 0.0451303i
\(9\) −1.91675 1.91675i −0.638917 0.638917i
\(10\) −0.489774 1.13385i −0.154880 0.358555i
\(11\) −1.07955 + 0.447164i −0.325497 + 0.134825i −0.539447 0.842019i \(-0.681367\pi\)
0.213951 + 0.976844i \(0.431367\pi\)
\(12\) 1.00579 + 0.381573i 0.290347 + 0.110151i
\(13\) −2.19312 + 5.29465i −0.608261 + 1.46847i 0.256629 + 0.966510i \(0.417388\pi\)
−0.864890 + 0.501961i \(0.832612\pi\)
\(14\) 0.984839 1.01493i 0.263209 0.271253i
\(15\) 0.469750i 0.121289i
\(16\) 3.99276 0.240631i 0.998189 0.0601578i
\(17\) 5.25492i 1.27451i 0.770655 + 0.637253i \(0.219929\pi\)
−0.770655 + 0.637253i \(0.780071\pi\)
\(18\) −2.75118 2.66960i −0.648459 0.629231i
\(19\) 0.514732 1.24267i 0.118088 0.285089i −0.853773 0.520645i \(-0.825691\pi\)
0.971861 + 0.235557i \(0.0756914\pi\)
\(20\) −0.716696 1.59290i −0.160258 0.356184i
\(21\) 0.496926 0.205834i 0.108438 0.0449166i
\(22\) −1.51703 + 0.655288i −0.323431 + 0.139708i
\(23\) −2.43163 2.43163i −0.507031 0.507031i 0.406583 0.913614i \(-0.366720\pi\)
−0.913614 + 0.406583i \(0.866720\pi\)
\(24\) 1.43036 + 0.518161i 0.291971 + 0.105769i
\(25\) 2.99619 2.99619i 0.599238 0.599238i
\(26\) −2.98851 + 7.53359i −0.586094 + 1.47746i
\(27\) −1.17545 2.83779i −0.226216 0.546134i
\(28\) 1.37102 1.45613i 0.259098 0.275183i
\(29\) −4.18437 1.73322i −0.777019 0.321852i −0.0413070 0.999146i \(-0.513152\pi\)
−0.735712 + 0.677295i \(0.763152\pi\)
\(30\) −0.00999678 0.664252i −0.00182515 0.121275i
\(31\) −9.89288 −1.77681 −0.888407 0.459057i \(-0.848187\pi\)
−0.888407 + 0.459057i \(0.848187\pi\)
\(32\) 5.64085 0.425235i 0.997171 0.0751717i
\(33\) −0.628498 −0.109408
\(34\) 0.111830 + 7.43074i 0.0191787 + 1.27436i
\(35\) −0.806875 0.334218i −0.136387 0.0564932i
\(36\) −3.94713 3.71641i −0.657855 0.619401i
\(37\) 3.67190 + 8.86475i 0.603657 + 1.45736i 0.869791 + 0.493421i \(0.164254\pi\)
−0.266134 + 0.963936i \(0.585746\pi\)
\(38\) 0.701413 1.76816i 0.113784 0.286833i
\(39\) −2.17963 + 2.17963i −0.349021 + 0.349021i
\(40\) −1.04734 2.23720i −0.165600 0.353732i
\(41\) −0.791489 0.791489i −0.123610 0.123610i 0.642596 0.766205i \(-0.277858\pi\)
−0.766205 + 0.642596i \(0.777858\pi\)
\(42\) 0.698300 0.301635i 0.107750 0.0465433i
\(43\) 9.17907 3.80210i 1.39980 0.579814i 0.450097 0.892980i \(-0.351389\pi\)
0.949699 + 0.313165i \(0.101389\pi\)
\(44\) −2.13121 + 0.958897i −0.321292 + 0.144559i
\(45\) −0.905965 + 2.18719i −0.135053 + 0.326047i
\(46\) −3.49021 3.38671i −0.514603 0.499344i
\(47\) 8.22934i 1.20037i −0.799860 0.600186i \(-0.795093\pi\)
0.799860 0.600186i \(-0.204907\pi\)
\(48\) 2.03363 + 0.702267i 0.293530 + 0.101364i
\(49\) 1.00000i 0.142857i
\(50\) 4.17301 4.30053i 0.590153 0.608187i
\(51\) −1.08164 + 2.61131i −0.151460 + 0.365656i
\(52\) −4.06559 + 10.7165i −0.563795 + 1.48611i
\(53\) −8.10656 + 3.35785i −1.11352 + 0.461236i −0.862149 0.506655i \(-0.830882\pi\)
−0.251373 + 0.967890i \(0.580882\pi\)
\(54\) −1.72254 3.98778i −0.234409 0.542668i
\(55\) 0.721611 + 0.721611i 0.0973020 + 0.0973020i
\(56\) 1.90770 2.08822i 0.254927 0.279051i
\(57\) 0.511567 0.511567i 0.0677588 0.0677588i
\(58\) −5.95381 2.36182i −0.781774 0.310123i
\(59\) 0.401407 + 0.969082i 0.0522587 + 0.126164i 0.947853 0.318708i \(-0.103249\pi\)
−0.895594 + 0.444872i \(0.853249\pi\)
\(60\) −0.0282720 0.939075i −0.00364989 0.121234i
\(61\) 3.36303 + 1.39301i 0.430592 + 0.178357i 0.587443 0.809265i \(-0.300134\pi\)
−0.156852 + 0.987622i \(0.550134\pi\)
\(62\) −13.9891 + 0.210531i −1.77661 + 0.0267374i
\(63\) −2.71070 −0.341516
\(64\) 7.96741 0.721349i 0.995927 0.0901686i
\(65\) 5.00510 0.620806
\(66\) −0.888730 + 0.0133751i −0.109395 + 0.00164636i
\(67\) 2.04308 + 0.846272i 0.249602 + 0.103389i 0.503977 0.863717i \(-0.331870\pi\)
−0.254375 + 0.967106i \(0.581870\pi\)
\(68\) 0.316268 + 10.5051i 0.0383531 + 1.27393i
\(69\) −0.707831 1.70885i −0.0852128 0.205722i
\(70\) −1.14808 0.455432i −0.137221 0.0544345i
\(71\) 4.30961 4.30961i 0.511457 0.511457i −0.403516 0.914973i \(-0.632212\pi\)
0.914973 + 0.403516i \(0.132212\pi\)
\(72\) −5.66054 5.17120i −0.667101 0.609432i
\(73\) 3.26137 + 3.26137i 0.381715 + 0.381715i 0.871720 0.490005i \(-0.163005\pi\)
−0.490005 + 0.871720i \(0.663005\pi\)
\(74\) 5.38092 + 12.4571i 0.625519 + 1.44811i
\(75\) 2.10560 0.872169i 0.243134 0.100709i
\(76\) 0.954207 2.51520i 0.109455 0.288513i
\(77\) −0.447164 + 1.07955i −0.0509591 + 0.123026i
\(78\) −3.03573 + 3.12850i −0.343729 + 0.354233i
\(79\) 6.77522i 0.762271i −0.924519 0.381136i \(-0.875533\pi\)
0.924519 0.381136i \(-0.124467\pi\)
\(80\) −1.52861 3.14123i −0.170904 0.351200i
\(81\) 6.47997i 0.719997i
\(82\) −1.13605 1.10236i −0.125456 0.121736i
\(83\) −3.03795 + 7.33426i −0.333458 + 0.805040i 0.664854 + 0.746973i \(0.268494\pi\)
−0.998313 + 0.0580669i \(0.981506\pi\)
\(84\) 0.981014 0.441388i 0.107037 0.0481594i
\(85\) 4.24006 1.75629i 0.459899 0.190496i
\(86\) 12.8988 5.57171i 1.39091 0.600813i
\(87\) −1.72257 1.72257i −0.184679 0.184679i
\(88\) −2.99324 + 1.40129i −0.319080 + 0.149378i
\(89\) 11.9975 11.9975i 1.27173 1.27173i 0.326554 0.945179i \(-0.394113\pi\)
0.945179 0.326554i \(-0.105887\pi\)
\(90\) −1.23454 + 3.11209i −0.130132 + 0.328043i
\(91\) 2.19312 + 5.29465i 0.229901 + 0.555030i
\(92\) −5.00741 4.71472i −0.522059 0.491543i
\(93\) −4.91603 2.03629i −0.509769 0.211153i
\(94\) −0.175129 11.6367i −0.0180632 1.20024i
\(95\) −1.17471 −0.120523
\(96\) 2.89061 + 0.949765i 0.295022 + 0.0969350i
\(97\) 3.11750 0.316534 0.158267 0.987396i \(-0.449409\pi\)
0.158267 + 0.987396i \(0.449409\pi\)
\(98\) −0.0212810 1.41405i −0.00214971 0.142841i
\(99\) 2.92633 + 1.21213i 0.294108 + 0.121823i
\(100\) 5.80934 6.16999i 0.580934 0.616999i
\(101\) 1.41736 + 3.42181i 0.141033 + 0.340483i 0.978575 0.205889i \(-0.0660085\pi\)
−0.837543 + 0.546372i \(0.816008\pi\)
\(102\) −1.47392 + 3.71555i −0.145940 + 0.367894i
\(103\) 7.41644 7.41644i 0.730764 0.730764i −0.240007 0.970771i \(-0.577150\pi\)
0.970771 + 0.240007i \(0.0771498\pi\)
\(104\) −5.52090 + 15.2402i −0.541368 + 1.49443i
\(105\) −0.332164 0.332164i −0.0324159 0.0324159i
\(106\) −11.3917 + 4.92069i −1.10646 + 0.477940i
\(107\) 2.68527 1.11228i 0.259595 0.107528i −0.249090 0.968480i \(-0.580132\pi\)
0.508686 + 0.860952i \(0.330132\pi\)
\(108\) −2.52063 5.60227i −0.242548 0.539079i
\(109\) −4.45306 + 10.7506i −0.426526 + 1.02972i 0.553855 + 0.832613i \(0.313156\pi\)
−0.980381 + 0.197111i \(0.936844\pi\)
\(110\) 1.03575 + 1.00504i 0.0987552 + 0.0958268i
\(111\) 5.16093i 0.489854i
\(112\) 2.65315 2.99346i 0.250699 0.282855i
\(113\) 8.36681i 0.787083i −0.919307 0.393542i \(-0.871250\pi\)
0.919307 0.393542i \(-0.128750\pi\)
\(114\) 0.712497 0.734270i 0.0667315 0.0687707i
\(115\) −1.14933 + 2.77472i −0.107175 + 0.258744i
\(116\) −8.46927 3.21304i −0.786352 0.298324i
\(117\) 14.3522 5.94487i 1.32686 0.549603i
\(118\) 0.588234 + 1.36179i 0.0541513 + 0.125363i
\(119\) 3.71579 + 3.71579i 0.340626 + 0.340626i
\(120\) −0.0599626 1.32730i −0.00547381 0.121165i
\(121\) −6.81270 + 6.81270i −0.619336 + 0.619336i
\(122\) 4.78515 + 1.89823i 0.433227 + 0.171857i
\(123\) −0.230396 0.556226i −0.0207741 0.0501532i
\(124\) −19.7768 + 0.595404i −1.77601 + 0.0534688i
\(125\) −7.45330 3.08726i −0.666644 0.276133i
\(126\) −3.83307 + 0.0576865i −0.341477 + 0.00513912i
\(127\) 1.05812 0.0938930 0.0469465 0.998897i \(-0.485051\pi\)
0.0469465 + 0.998897i \(0.485051\pi\)
\(128\) 11.2510 1.18958i 0.994457 0.105145i
\(129\) 5.34392 0.470506
\(130\) 7.07747 0.106514i 0.620736 0.00934187i
\(131\) −0.177542 0.0735403i −0.0155119 0.00642525i 0.374914 0.927060i \(-0.377672\pi\)
−0.390426 + 0.920634i \(0.627672\pi\)
\(132\) −1.25643 + 0.0378262i −0.109358 + 0.00329235i
\(133\) −0.514732 1.24267i −0.0446329 0.107753i
\(134\) 2.90704 + 1.15319i 0.251130 + 0.0996209i
\(135\) −1.89689 + 1.89689i −0.163258 + 0.163258i
\(136\) 0.670778 + 14.8480i 0.0575188 + 1.27321i
\(137\) −12.0124 12.0124i −1.02629 1.02629i −0.999645 0.0266466i \(-0.991517\pi\)
−0.0266466 0.999645i \(-0.508483\pi\)
\(138\) −1.03728 2.40135i −0.0882988 0.204416i
\(139\) 16.3801 6.78486i 1.38934 0.575484i 0.442379 0.896828i \(-0.354135\pi\)
0.946962 + 0.321344i \(0.104135\pi\)
\(140\) −1.63313 0.619572i −0.138025 0.0523634i
\(141\) 1.69387 4.08937i 0.142650 0.344387i
\(142\) 6.00231 6.18573i 0.503703 0.519095i
\(143\) 6.69652i 0.559991i
\(144\) −8.11435 7.19189i −0.676196 0.599324i
\(145\) 3.95554i 0.328490i
\(146\) 4.68116 + 4.54235i 0.387416 + 0.375928i
\(147\) 0.205834 0.496926i 0.0169769 0.0409858i
\(148\) 7.87400 + 17.5005i 0.647239 + 1.43853i
\(149\) 12.9897 5.38049i 1.06415 0.440787i 0.219230 0.975673i \(-0.429645\pi\)
0.844924 + 0.534886i \(0.179645\pi\)
\(150\) 2.95887 1.27810i 0.241591 0.104357i
\(151\) 14.4432 + 14.4432i 1.17537 + 1.17537i 0.980910 + 0.194460i \(0.0622954\pi\)
0.194460 + 0.980910i \(0.437705\pi\)
\(152\) 1.29577 3.57693i 0.105101 0.290128i
\(153\) 10.0724 10.0724i 0.814304 0.814304i
\(154\) −0.609340 + 1.53606i −0.0491021 + 0.123779i
\(155\) 3.30638 + 7.98231i 0.265575 + 0.641155i
\(156\) −4.22611 + 4.48847i −0.338360 + 0.359365i
\(157\) 2.28596 + 0.946874i 0.182439 + 0.0755688i 0.472033 0.881581i \(-0.343520\pi\)
−0.289594 + 0.957150i \(0.593520\pi\)
\(158\) −0.144184 9.58052i −0.0114706 0.762185i
\(159\) −4.71952 −0.374282
\(160\) −2.22839 4.40934i −0.176169 0.348589i
\(161\) −3.43885 −0.271019
\(162\) 0.137900 + 9.16302i 0.0108345 + 0.719915i
\(163\) 5.81978 + 2.41063i 0.455840 + 0.188815i 0.598776 0.800917i \(-0.295654\pi\)
−0.142935 + 0.989732i \(0.545654\pi\)
\(164\) −1.62990 1.53462i −0.127273 0.119834i
\(165\) 0.210056 + 0.507119i 0.0163528 + 0.0394792i
\(166\) −4.13974 + 10.4357i −0.321307 + 0.809967i
\(167\) −13.5943 + 13.5943i −1.05196 + 1.05196i −0.0533884 + 0.998574i \(0.517002\pi\)
−0.998574 + 0.0533884i \(0.982998\pi\)
\(168\) 1.37781 0.645023i 0.106301 0.0497646i
\(169\) −14.0312 14.0312i −1.07932 1.07932i
\(170\) 5.95830 2.57372i 0.456981 0.197395i
\(171\) −3.36851 + 1.39528i −0.257596 + 0.106700i
\(172\) 18.1210 8.15319i 1.38171 0.621675i
\(173\) −2.13210 + 5.14735i −0.162101 + 0.391346i −0.983971 0.178329i \(-0.942931\pi\)
0.821870 + 0.569675i \(0.192931\pi\)
\(174\) −2.47246 2.39915i −0.187437 0.181879i
\(175\) 4.23725i 0.320306i
\(176\) −4.20278 + 2.04519i −0.316796 + 0.154162i
\(177\) 0.564185i 0.0424068i
\(178\) 16.7098 17.2204i 1.25245 1.29073i
\(179\) −4.17393 + 10.0768i −0.311974 + 0.753172i 0.687657 + 0.726035i \(0.258639\pi\)
−0.999632 + 0.0271372i \(0.991361\pi\)
\(180\) −1.67947 + 4.42693i −0.125180 + 0.329964i
\(181\) −12.2853 + 5.08875i −0.913162 + 0.378244i −0.789266 0.614051i \(-0.789539\pi\)
−0.123896 + 0.992295i \(0.539539\pi\)
\(182\) 3.21386 + 7.44024i 0.238227 + 0.551508i
\(183\) 1.38445 + 1.38445i 0.102341 + 0.102341i
\(184\) −7.18108 6.56030i −0.529397 0.483632i
\(185\) 5.92553 5.92553i 0.435653 0.435653i
\(186\) −6.99486 2.77480i −0.512888 0.203458i
\(187\) −2.34981 5.67295i −0.171835 0.414847i
\(188\) −0.495283 16.4512i −0.0361222 1.19983i
\(189\) −2.83779 1.17545i −0.206419 0.0855016i
\(190\) −1.66111 + 0.0249991i −0.120509 + 0.00181363i
\(191\) −26.7614 −1.93639 −0.968193 0.250205i \(-0.919502\pi\)
−0.968193 + 0.250205i \(0.919502\pi\)
\(192\) 4.10769 + 1.28150i 0.296447 + 0.0924846i
\(193\) 4.68274 0.337071 0.168535 0.985696i \(-0.446096\pi\)
0.168535 + 0.985696i \(0.446096\pi\)
\(194\) 4.40831 0.0663437i 0.316498 0.00476320i
\(195\) 2.48716 + 1.03022i 0.178109 + 0.0737754i
\(196\) −0.0601851 1.99909i −0.00429893 0.142792i
\(197\) −0.666685 1.60952i −0.0474994 0.114674i 0.898349 0.439283i \(-0.144767\pi\)
−0.945848 + 0.324609i \(0.894767\pi\)
\(198\) 4.16379 + 1.65174i 0.295908 + 0.117384i
\(199\) 0.984306 0.984306i 0.0697756 0.0697756i −0.671358 0.741133i \(-0.734289\pi\)
0.741133 + 0.671358i \(0.234289\pi\)
\(200\) 8.08341 8.84833i 0.571584 0.625671i
\(201\) 0.841069 + 0.841069i 0.0593245 + 0.0593245i
\(202\) 2.07705 + 4.80847i 0.146140 + 0.338322i
\(203\) −4.18437 + 1.73322i −0.293685 + 0.121649i
\(204\) −2.00514 + 5.28535i −0.140388 + 0.370048i
\(205\) −0.374102 + 0.903162i −0.0261284 + 0.0630796i
\(206\) 10.3294 10.6451i 0.719685 0.741678i
\(207\) 9.32168i 0.647902i
\(208\) −7.48252 + 21.6680i −0.518819 + 1.50240i
\(209\) 1.57170i 0.108717i
\(210\) −0.476766 0.462628i −0.0329000 0.0319244i
\(211\) −9.33281 + 22.5314i −0.642497 + 1.55113i 0.180803 + 0.983519i \(0.442130\pi\)
−0.823300 + 0.567606i \(0.807870\pi\)
\(212\) −16.0037 + 7.20055i −1.09914 + 0.494536i
\(213\) 3.02862 1.25450i 0.207518 0.0859567i
\(214\) 3.77345 1.62996i 0.257948 0.111422i
\(215\) −6.13563 6.13563i −0.418447 0.418447i
\(216\) −3.68353 7.86827i −0.250633 0.535368i
\(217\) −6.99532 + 6.99532i −0.474873 + 0.474873i
\(218\) −6.06808 + 15.2967i −0.410982 + 1.03603i
\(219\) 0.949361 + 2.29196i 0.0641519 + 0.154876i
\(220\) 1.48600 + 1.39914i 0.100186 + 0.0943299i
\(221\) −27.8230 11.5246i −1.87157 0.775232i
\(222\) 0.109830 + 7.29783i 0.00737130 + 0.489798i
\(223\) 5.48004 0.366971 0.183485 0.983022i \(-0.441262\pi\)
0.183485 + 0.983022i \(0.441262\pi\)
\(224\) 3.68800 4.28937i 0.246415 0.286596i
\(225\) −11.4859 −0.765727
\(226\) −0.178054 11.8311i −0.0118440 0.786994i
\(227\) −22.3912 9.27476i −1.48616 0.615587i −0.515682 0.856780i \(-0.672461\pi\)
−0.970477 + 0.241193i \(0.922461\pi\)
\(228\) 0.991883 1.05346i 0.0656890 0.0697671i
\(229\) −6.20011 14.9684i −0.409715 0.989140i −0.985213 0.171336i \(-0.945192\pi\)
0.575498 0.817803i \(-0.304808\pi\)
\(230\) −1.56616 + 3.94806i −0.103270 + 0.260327i
\(231\) −0.444415 + 0.444415i −0.0292404 + 0.0292404i
\(232\) −12.0444 4.36318i −0.790752 0.286457i
\(233\) −2.16377 2.16377i −0.141753 0.141753i 0.632669 0.774422i \(-0.281959\pi\)
−0.774422 + 0.632669i \(0.781959\pi\)
\(234\) 20.1682 8.71179i 1.31844 0.569508i
\(235\) −6.64004 + 2.75040i −0.433149 + 0.179416i
\(236\) 0.860775 + 1.91313i 0.0560317 + 0.124534i
\(237\) 1.39457 3.36678i 0.0905868 0.218696i
\(238\) 5.33340 + 5.17525i 0.345713 + 0.335462i
\(239\) 7.05764i 0.456521i −0.973600 0.228261i \(-0.926696\pi\)
0.973600 0.228261i \(-0.0733038\pi\)
\(240\) −0.113037 1.87560i −0.00729648 0.121069i
\(241\) 7.19278i 0.463328i 0.972796 + 0.231664i \(0.0744169\pi\)
−0.972796 + 0.231664i \(0.925583\pi\)
\(242\) −9.48854 + 9.77851i −0.609947 + 0.628586i
\(243\) −4.86015 + 11.7334i −0.311779 + 0.752701i
\(244\) 6.80685 + 2.58236i 0.435764 + 0.165319i
\(245\) −0.806875 + 0.334218i −0.0515493 + 0.0213524i
\(246\) −0.337630 0.781631i −0.0215265 0.0498349i
\(247\) 5.45065 + 5.45065i 0.346816 + 0.346816i
\(248\) −27.9528 + 1.26280i −1.77500 + 0.0801881i
\(249\) −3.01927 + 3.01927i −0.191339 + 0.191339i
\(250\) −10.6051 4.20694i −0.670723 0.266070i
\(251\) −8.33545 20.1236i −0.526129 1.27019i −0.934041 0.357167i \(-0.883743\pi\)
0.407912 0.913021i \(-0.366257\pi\)
\(252\) −5.41894 + 0.163143i −0.341361 + 0.0102771i
\(253\) 3.71241 + 1.53773i 0.233397 + 0.0966763i
\(254\) 1.49624 0.0225179i 0.0938824 0.00141290i
\(255\) 2.46850 0.154584
\(256\) 15.8842 1.92156i 0.992762 0.120098i
\(257\) −6.33123 −0.394932 −0.197466 0.980310i \(-0.563271\pi\)
−0.197466 + 0.980310i \(0.563271\pi\)
\(258\) 7.55659 0.113724i 0.470453 0.00708016i
\(259\) 8.86475 + 3.67190i 0.550829 + 0.228161i
\(260\) 10.0057 0.301232i 0.620525 0.0186816i
\(261\) 4.69825 + 11.3426i 0.290814 + 0.702087i
\(262\) −0.252619 0.100212i −0.0156069 0.00619110i
\(263\) 0.692922 0.692922i 0.0427274 0.0427274i −0.685420 0.728148i \(-0.740381\pi\)
0.728148 + 0.685420i \(0.240381\pi\)
\(264\) −1.77585 + 0.0802264i −0.109296 + 0.00493759i
\(265\) 5.41872 + 5.41872i 0.332870 + 0.332870i
\(266\) −0.754304 1.74625i −0.0462493 0.107070i
\(267\) 8.43136 3.49238i 0.515991 0.213730i
\(268\) 4.13524 + 1.56881i 0.252600 + 0.0958306i
\(269\) −1.43752 + 3.47047i −0.0876469 + 0.211598i −0.961625 0.274367i \(-0.911532\pi\)
0.873978 + 0.485965i \(0.161532\pi\)
\(270\) −2.64193 + 2.72267i −0.160783 + 0.165696i
\(271\) 9.66415i 0.587056i 0.955951 + 0.293528i \(0.0948293\pi\)
−0.955951 + 0.293528i \(0.905171\pi\)
\(272\) 1.26450 + 20.9816i 0.0766714 + 1.27220i
\(273\) 3.08247i 0.186559i
\(274\) −17.2419 16.7306i −1.04162 1.01073i
\(275\) −1.89475 + 4.57433i −0.114258 + 0.275842i
\(276\) −1.51787 3.37356i −0.0913649 0.203064i
\(277\) 11.1663 4.62521i 0.670915 0.277902i −0.0211082 0.999777i \(-0.506719\pi\)
0.692023 + 0.721875i \(0.256719\pi\)
\(278\) 23.0179 9.94274i 1.38052 0.596326i
\(279\) 18.9622 + 18.9622i 1.13524 + 1.13524i
\(280\) −2.32252 0.841353i −0.138797 0.0502805i
\(281\) −7.55869 + 7.55869i −0.450914 + 0.450914i −0.895658 0.444744i \(-0.853295\pi\)
0.444744 + 0.895658i \(0.353295\pi\)
\(282\) 2.30820 5.81864i 0.137451 0.346495i
\(283\) −11.1409 26.8966i −0.662260 1.59884i −0.794254 0.607586i \(-0.792138\pi\)
0.131995 0.991250i \(-0.457862\pi\)
\(284\) 8.35595 8.87469i 0.495834 0.526616i
\(285\) −0.583746 0.241796i −0.0345781 0.0143227i
\(286\) −0.142509 9.46924i −0.00842673 0.559928i
\(287\) −1.11933 −0.0660722
\(288\) −11.6272 9.99704i −0.685138 0.589081i
\(289\) −10.6142 −0.624364
\(290\) 0.0841780 + 5.59335i 0.00494310 + 0.328453i
\(291\) 1.54917 + 0.641686i 0.0908138 + 0.0376163i
\(292\) 6.71608 + 6.32350i 0.393029 + 0.370055i
\(293\) −10.7410 25.9311i −0.627497 1.51491i −0.842723 0.538347i \(-0.819049\pi\)
0.215226 0.976564i \(-0.430951\pi\)
\(294\) 0.280485 0.707060i 0.0163582 0.0412366i
\(295\) 0.647770 0.647770i 0.0377146 0.0377146i
\(296\) 11.5067 + 24.5791i 0.668813 + 1.42863i
\(297\) 2.53792 + 2.53792i 0.147265 + 0.147265i
\(298\) 18.2536 7.88474i 1.05740 0.456751i
\(299\) 18.2075 7.54179i 1.05297 0.436153i
\(300\) 4.15680 1.87027i 0.239993 0.107980i
\(301\) 3.80210 9.17907i 0.219149 0.529073i
\(302\) 20.7308 + 20.1161i 1.19292 + 1.15755i
\(303\) 1.99213i 0.114445i
\(304\) 1.75617 5.08555i 0.100723 0.291676i
\(305\) 3.17911i 0.182036i
\(306\) 14.0285 14.4572i 0.801958 0.826465i
\(307\) 10.2105 24.6504i 0.582747 1.40688i −0.307567 0.951527i \(-0.599515\pi\)
0.890313 0.455349i \(-0.150485\pi\)
\(308\) −0.828951 + 2.18504i −0.0472339 + 0.124504i
\(309\) 5.21198 2.15887i 0.296499 0.122814i
\(310\) 4.84527 + 11.2171i 0.275193 + 0.637086i
\(311\) 6.04084 + 6.04084i 0.342545 + 0.342545i 0.857323 0.514779i \(-0.172126\pi\)
−0.514779 + 0.857323i \(0.672126\pi\)
\(312\) −5.88043 + 6.43688i −0.332914 + 0.364416i
\(313\) −6.44318 + 6.44318i −0.364190 + 0.364190i −0.865353 0.501163i \(-0.832906\pi\)
0.501163 + 0.865353i \(0.332906\pi\)
\(314\) 3.25262 + 1.29028i 0.183556 + 0.0728149i
\(315\) 0.905965 + 2.18719i 0.0510453 + 0.123234i
\(316\) −0.407767 13.5443i −0.0229387 0.761926i
\(317\) 14.4882 + 6.00120i 0.813737 + 0.337061i 0.750444 0.660934i \(-0.229840\pi\)
0.0632932 + 0.997995i \(0.479840\pi\)
\(318\) −6.67365 + 0.100436i −0.374240 + 0.00563219i
\(319\) 5.29228 0.296311
\(320\) −3.24489 6.18761i −0.181395 0.345898i
\(321\) 1.56333 0.0872564
\(322\) −4.86272 + 0.0731823i −0.270989 + 0.00407829i
\(323\) 6.53015 + 2.70488i 0.363347 + 0.150503i
\(324\) 0.389997 + 12.9541i 0.0216665 + 0.719670i
\(325\) 9.29278 + 22.4348i 0.515471 + 1.24446i
\(326\) 8.28078 + 3.28491i 0.458630 + 0.181934i
\(327\) −4.42568 + 4.42568i −0.244741 + 0.244741i
\(328\) −2.33742 2.13535i −0.129062 0.117905i
\(329\) −5.81902 5.81902i −0.320813 0.320813i
\(330\) 0.307822 + 0.712624i 0.0169450 + 0.0392286i
\(331\) −31.5584 + 13.0719i −1.73461 + 0.718498i −0.735445 + 0.677585i \(0.763027\pi\)
−0.999163 + 0.0409133i \(0.986973\pi\)
\(332\) −5.63174 + 14.8447i −0.309082 + 0.814710i
\(333\) 9.95341 24.0297i 0.545444 1.31682i
\(334\) −18.9338 + 19.5124i −1.03601 + 1.06767i
\(335\) 1.93135i 0.105521i
\(336\) 1.93457 0.941419i 0.105540 0.0513586i
\(337\) 19.8448i 1.08101i 0.841339 + 0.540507i \(0.181768\pi\)
−0.841339 + 0.540507i \(0.818232\pi\)
\(338\) −20.1394 19.5422i −1.09544 1.06296i
\(339\) 1.72217 4.15769i 0.0935355 0.225815i
\(340\) 8.37058 3.76618i 0.453958 0.204250i
\(341\) 10.6799 4.42374i 0.578347 0.239559i
\(342\) −4.73356 + 2.04469i −0.255962 + 0.110564i
\(343\) −0.707107 0.707107i −0.0381802 0.0381802i
\(344\) 25.4506 11.9147i 1.37220 0.642397i
\(345\) −1.14226 + 1.14226i −0.0614973 + 0.0614973i
\(346\) −2.90537 + 7.32400i −0.156193 + 0.393741i
\(347\) 4.22700 + 10.2049i 0.226917 + 0.547827i 0.995799 0.0915638i \(-0.0291865\pi\)
−0.768882 + 0.639391i \(0.779187\pi\)
\(348\) −3.54725 3.33991i −0.190153 0.179038i
\(349\) −2.34589 0.971699i −0.125573 0.0520139i 0.319012 0.947751i \(-0.396649\pi\)
−0.444585 + 0.895737i \(0.646649\pi\)
\(350\) −0.0901731 5.99170i −0.00481996 0.320270i
\(351\) 17.6030 0.939580
\(352\) −5.89943 + 2.98145i −0.314441 + 0.158912i
\(353\) 33.2251 1.76840 0.884198 0.467113i \(-0.154706\pi\)
0.884198 + 0.467113i \(0.154706\pi\)
\(354\) 0.0120065 + 0.797788i 0.000638136 + 0.0424020i
\(355\) −4.91767 2.03696i −0.261003 0.108111i
\(356\) 23.2621 24.7062i 1.23289 1.30943i
\(357\) 1.08164 + 2.61131i 0.0572464 + 0.138205i
\(358\) −5.68772 + 14.3379i −0.300605 + 0.757782i
\(359\) 9.35185 9.35185i 0.493572 0.493572i −0.415858 0.909430i \(-0.636519\pi\)
0.909430 + 0.415858i \(0.136519\pi\)
\(360\) −2.28065 + 6.29566i −0.120201 + 0.331810i
\(361\) 12.1557 + 12.1557i 0.639776 + 0.639776i
\(362\) −17.2638 + 7.45722i −0.907367 + 0.391943i
\(363\) −4.78769 + 1.98313i −0.251289 + 0.104087i
\(364\) 4.70290 + 10.4525i 0.246499 + 0.547860i
\(365\) 1.54151 3.72153i 0.0806862 0.194794i
\(366\) 1.98715 + 1.92822i 0.103870 + 0.100790i
\(367\) 5.02929i 0.262527i −0.991348 0.131263i \(-0.958097\pi\)
0.991348 0.131263i \(-0.0419034\pi\)
\(368\) −10.2940 9.12379i −0.536614 0.475611i
\(369\) 3.03417i 0.157953i
\(370\) 8.25291 8.50511i 0.429048 0.442160i
\(371\) −3.35785 + 8.10656i −0.174331 + 0.420872i
\(372\) −9.95016 3.77486i −0.515892 0.195717i
\(373\) 4.59648 1.90392i 0.237997 0.0985815i −0.260497 0.965475i \(-0.583887\pi\)
0.498494 + 0.866893i \(0.333887\pi\)
\(374\) −3.44349 7.97185i −0.178059 0.412215i
\(375\) −3.06828 3.06828i −0.158445 0.158445i
\(376\) −1.05046 23.2524i −0.0541731 1.19915i
\(377\) 18.3536 18.3536i 0.945260 0.945260i
\(378\) −4.03781 1.60176i −0.207682 0.0823858i
\(379\) 0.151731 + 0.366310i 0.00779388 + 0.0188161i 0.927729 0.373256i \(-0.121759\pi\)
−0.919935 + 0.392072i \(0.871759\pi\)
\(380\) −2.34836 + 0.0707002i −0.120469 + 0.00362684i
\(381\) 0.525808 + 0.217797i 0.0269379 + 0.0111581i
\(382\) −37.8420 + 0.569510i −1.93617 + 0.0291387i
\(383\) 34.1205 1.74347 0.871737 0.489974i \(-0.162994\pi\)
0.871737 + 0.489974i \(0.162994\pi\)
\(384\) 5.83577 + 1.72470i 0.297805 + 0.0880132i
\(385\) 1.02051 0.0520101
\(386\) 6.62164 0.0996536i 0.337033 0.00507223i
\(387\) −24.8817 10.3063i −1.26481 0.523900i
\(388\) 6.23218 0.187627i 0.316391 0.00952531i
\(389\) 5.97966 + 14.4362i 0.303181 + 0.731943i 0.999894 + 0.0145930i \(0.00464527\pi\)
−0.696713 + 0.717350i \(0.745355\pi\)
\(390\) 3.53891 + 1.40385i 0.179199 + 0.0710868i
\(391\) 12.7780 12.7780i 0.646213 0.646213i
\(392\) −0.127648 2.82555i −0.00644718 0.142712i
\(393\) −0.0730882 0.0730882i −0.00368681 0.00368681i
\(394\) −0.976981 2.26176i −0.0492196 0.113946i
\(395\) −5.46675 + 2.26440i −0.275062 + 0.113934i
\(396\) 5.92297 + 2.24704i 0.297640 + 0.112918i
\(397\) −5.57175 + 13.4514i −0.279638 + 0.675106i −0.999826 0.0186734i \(-0.994056\pi\)
0.720188 + 0.693779i \(0.244056\pi\)
\(398\) 1.37091 1.41281i 0.0687177 0.0708177i
\(399\) 0.723466i 0.0362186i
\(400\) 11.2421 12.6840i 0.562104 0.634201i
\(401\) 23.0633i 1.15173i 0.817545 + 0.575864i \(0.195334\pi\)
−0.817545 + 0.575864i \(0.804666\pi\)
\(402\) 1.20722 + 1.17142i 0.0602104 + 0.0584250i
\(403\) 21.6962 52.3793i 1.08077 2.60920i
\(404\) 3.03938 + 6.75523i 0.151215 + 0.336085i
\(405\) 5.22852 2.16572i 0.259807 0.107616i
\(406\) −5.88004 + 2.53992i −0.291822 + 0.126054i
\(407\) −7.92801 7.92801i −0.392977 0.392977i
\(408\) −2.72289 + 7.51644i −0.134803 + 0.372119i
\(409\) −17.0788 + 17.0788i −0.844495 + 0.844495i −0.989440 0.144945i \(-0.953699\pi\)
0.144945 + 0.989440i \(0.453699\pi\)
\(410\) −0.509780 + 1.28508i −0.0251762 + 0.0634656i
\(411\) −3.49673 8.44185i −0.172481 0.416406i
\(412\) 14.3798 15.2725i 0.708443 0.752424i
\(413\) 0.969082 + 0.401407i 0.0476854 + 0.0197520i
\(414\) 0.198375 + 13.1814i 0.00974960 + 0.647828i
\(415\) 6.93317 0.340336
\(416\) −10.1196 + 30.7989i −0.496152 + 1.51004i
\(417\) 9.53625 0.466992
\(418\) 0.0334474 + 2.22246i 0.00163596 + 0.108704i
\(419\) −8.60057 3.56247i −0.420165 0.174038i 0.162576 0.986696i \(-0.448020\pi\)
−0.582741 + 0.812658i \(0.698020\pi\)
\(420\) −0.684018 0.644035i −0.0333767 0.0314257i
\(421\) −8.40962 20.3026i −0.409860 0.989489i −0.985174 0.171557i \(-0.945120\pi\)
0.575315 0.817932i \(-0.304880\pi\)
\(422\) −12.7176 + 32.0592i −0.619083 + 1.56062i
\(423\) −15.7736 + 15.7736i −0.766939 + 0.766939i
\(424\) −22.4768 + 10.5225i −1.09157 + 0.511019i
\(425\) 15.7447 + 15.7447i 0.763732 + 0.763732i
\(426\) 4.25594 1.83838i 0.206201 0.0890696i
\(427\) 3.36303 1.39301i 0.162748 0.0674126i
\(428\) 5.30117 2.38516i 0.256242 0.115291i
\(429\) 1.37837 3.32768i 0.0665483 0.160662i
\(430\) −8.80668 8.54554i −0.424696 0.412102i
\(431\) 9.80837i 0.472453i 0.971698 + 0.236226i \(0.0759107\pi\)
−0.971698 + 0.236226i \(0.924089\pi\)
\(432\) −5.37616 11.0478i −0.258661 0.531536i
\(433\) 11.9138i 0.572541i −0.958149 0.286270i \(-0.907584\pi\)
0.958149 0.286270i \(-0.0924156\pi\)
\(434\) −9.74289 + 10.0406i −0.467674 + 0.481966i
\(435\) −0.814183 + 1.96561i −0.0390371 + 0.0942439i
\(436\) −8.25506 + 21.7595i −0.395346 + 1.04209i
\(437\) −4.27337 + 1.77009i −0.204423 + 0.0846747i
\(438\) 1.39122 + 3.22075i 0.0664752 + 0.153893i
\(439\) −26.6791 26.6791i −1.27332 1.27332i −0.944333 0.328991i \(-0.893291\pi\)
−0.328991 0.944333i \(-0.606709\pi\)
\(440\) 2.13106 + 1.94683i 0.101594 + 0.0928116i
\(441\) −1.91675 + 1.91675i −0.0912739 + 0.0912739i
\(442\) −39.5884 15.7044i −1.88303 0.746980i
\(443\) 9.27447 + 22.3906i 0.440644 + 1.06381i 0.975723 + 0.219006i \(0.0702815\pi\)
−0.535080 + 0.844801i \(0.679719\pi\)
\(444\) 0.310611 + 10.3172i 0.0147409 + 0.489632i
\(445\) −13.6903 5.67069i −0.648981 0.268817i
\(446\) 7.74907 0.116621i 0.366929 0.00552216i
\(447\) 7.56239 0.357689
\(448\) 5.12374 6.14388i 0.242074 0.290271i
\(449\) −22.8650 −1.07906 −0.539532 0.841965i \(-0.681399\pi\)
−0.539532 + 0.841965i \(0.681399\pi\)
\(450\) −16.2417 + 0.244432i −0.765640 + 0.0115226i
\(451\) 1.20838 + 0.500526i 0.0569003 + 0.0235689i
\(452\) −0.503557 16.7260i −0.0236853 0.786727i
\(453\) 4.20431 + 10.1501i 0.197536 + 0.476893i
\(454\) −31.8598 12.6385i −1.49525 0.593154i
\(455\) 3.53914 3.53914i 0.165917 0.165917i
\(456\) 1.38016 1.51076i 0.0646318 0.0707477i
\(457\) −5.06210 5.06210i −0.236795 0.236795i 0.578727 0.815522i \(-0.303550\pi\)
−0.815522 + 0.578727i \(0.803550\pi\)
\(458\) −9.08583 21.0342i −0.424553 0.982862i
\(459\) 14.9124 6.17691i 0.696050 0.288314i
\(460\) −2.13062 + 5.61610i −0.0993405 + 0.261852i
\(461\) −9.77865 + 23.6078i −0.455437 + 1.09952i 0.514788 + 0.857318i \(0.327871\pi\)
−0.970225 + 0.242205i \(0.922129\pi\)
\(462\) −0.618970 + 0.637885i −0.0287971 + 0.0296771i
\(463\) 19.5868i 0.910275i 0.890421 + 0.455137i \(0.150410\pi\)
−0.890421 + 0.455137i \(0.849590\pi\)
\(464\) −17.1243 5.91345i −0.794973 0.274525i
\(465\) 4.64718i 0.215508i
\(466\) −3.10573 3.01364i −0.143870 0.139604i
\(467\) −11.8053 + 28.5004i −0.546282 + 1.31884i 0.373943 + 0.927452i \(0.378006\pi\)
−0.920225 + 0.391390i \(0.871994\pi\)
\(468\) 28.3336 12.7481i 1.30972 0.589283i
\(469\) 2.04308 0.846272i 0.0943407 0.0390772i
\(470\) −9.33085 + 4.03051i −0.430400 + 0.185914i
\(471\) 0.941053 + 0.941053i 0.0433614 + 0.0433614i
\(472\) 1.25789 + 2.68695i 0.0578993 + 0.123677i
\(473\) −8.20911 + 8.20911i −0.377455 + 0.377455i
\(474\) 1.90034 4.79049i 0.0872857 0.220034i
\(475\) −2.18105 5.26552i −0.100073 0.241598i
\(476\) 7.65185 + 7.20458i 0.350722 + 0.330221i
\(477\) 21.9744 + 9.10211i 1.00614 + 0.416757i
\(478\) −0.150194 9.97989i −0.00686971 0.456469i
\(479\) −16.7796 −0.766681 −0.383341 0.923607i \(-0.625226\pi\)
−0.383341 + 0.923607i \(0.625226\pi\)
\(480\) −0.199754 2.64979i −0.00911750 0.120946i
\(481\) −54.9887 −2.50727
\(482\) 0.153070 + 10.1710i 0.00697214 + 0.463275i
\(483\) −1.70885 0.707831i −0.0777556 0.0322074i
\(484\) −13.2092 + 14.0293i −0.600419 + 0.637693i
\(485\) −1.04193 2.51543i −0.0473114 0.114220i
\(486\) −6.62282 + 16.6952i −0.300417 + 0.757308i
\(487\) 11.0618 11.0618i 0.501259 0.501259i −0.410570 0.911829i \(-0.634670\pi\)
0.911829 + 0.410570i \(0.134670\pi\)
\(488\) 9.68021 + 3.50674i 0.438202 + 0.158743i
\(489\) 2.39581 + 2.39581i 0.108342 + 0.108342i
\(490\) −1.13385 + 0.489774i −0.0512222 + 0.0221257i
\(491\) −3.18309 + 1.31848i −0.143651 + 0.0595021i −0.453351 0.891332i \(-0.649771\pi\)
0.309700 + 0.950834i \(0.399771\pi\)
\(492\) −0.494061 1.09808i −0.0222740 0.0495054i
\(493\) 9.10796 21.9886i 0.410202 0.990315i
\(494\) 7.82350 + 7.59151i 0.351996 + 0.341558i
\(495\) 2.76630i 0.124336i
\(496\) −39.4999 + 2.38054i −1.77360 + 0.106889i
\(497\) 6.09471i 0.273385i
\(498\) −4.20516 + 4.33367i −0.188438 + 0.194196i
\(499\) 14.0739 33.9775i 0.630036 1.52104i −0.209541 0.977800i \(-0.567197\pi\)
0.839577 0.543241i \(-0.182803\pi\)
\(500\) −15.0857 5.72314i −0.674651 0.255947i
\(501\) −9.55356 + 3.95721i −0.426822 + 0.176795i
\(502\) −12.2150 28.2784i −0.545183 1.26213i
\(503\) 18.8817 + 18.8817i 0.841892 + 0.841892i 0.989105 0.147213i \(-0.0470303\pi\)
−0.147213 + 0.989105i \(0.547030\pi\)
\(504\) −7.65920 + 0.346014i −0.341168 + 0.0154127i
\(505\) 2.28727 2.28727i 0.101782 0.101782i
\(506\) 5.28227 + 2.09543i 0.234826 + 0.0931532i
\(507\) −4.08437 9.86053i −0.181393 0.437922i
\(508\) 2.11528 0.0636830i 0.0938505 0.00282548i
\(509\) 20.3127 + 8.41381i 0.900346 + 0.372936i 0.784353 0.620314i \(-0.212995\pi\)
0.115993 + 0.993250i \(0.462995\pi\)
\(510\) 3.49059 0.0525323i 0.154566 0.00232617i
\(511\) 4.61228 0.204035
\(512\) 22.4202 3.05523i 0.990842 0.135023i
\(513\) −4.13149 −0.182410
\(514\) −8.95270 + 0.134735i −0.394887 + 0.00594292i
\(515\) −8.46285 3.50543i −0.372918 0.154468i
\(516\) 10.6830 0.321624i 0.470293 0.0141587i
\(517\) 3.67987 + 8.88399i 0.161840 + 0.390717i
\(518\) 12.6134 + 5.00361i 0.554200 + 0.219846i
\(519\) −2.11899 + 2.11899i −0.0930136 + 0.0930136i
\(520\) 14.1421 0.638889i 0.620173 0.0280171i
\(521\) 9.22213 + 9.22213i 0.404029 + 0.404029i 0.879650 0.475621i \(-0.157777\pi\)
−0.475621 + 0.879650i \(0.657777\pi\)
\(522\) 6.88495 + 15.9390i 0.301346 + 0.697632i
\(523\) −20.9087 + 8.66068i −0.914275 + 0.378705i −0.789691 0.613504i \(-0.789759\pi\)
−0.124583 + 0.992209i \(0.539759\pi\)
\(524\) −0.359349 0.136329i −0.0156982 0.00595555i
\(525\) 0.872169 2.10560i 0.0380646 0.0918960i
\(526\) 0.965082 0.994575i 0.0420796 0.0433655i
\(527\) 51.9863i 2.26456i
\(528\) −2.50944 + 0.151236i −0.109209 + 0.00658172i
\(529\) 11.1743i 0.485840i
\(530\) 7.77768 + 7.54705i 0.337841 + 0.327823i
\(531\) 1.08809 2.62689i 0.0472192 0.113997i
\(532\) −1.10379 2.45324i −0.0478553 0.106361i
\(533\) 5.92648 2.45483i 0.256704 0.106330i
\(534\) 11.8481 5.11784i 0.512716 0.221471i
\(535\) −1.79494 1.79494i −0.0776018 0.0776018i
\(536\) 5.88084 + 2.13039i 0.254014 + 0.0920186i
\(537\) −4.14827 + 4.14827i −0.179011 + 0.179011i
\(538\) −1.95887 + 4.93802i −0.0844528 + 0.212893i
\(539\) 0.447164 + 1.07955i 0.0192607 + 0.0464995i
\(540\) −3.67789 + 3.90622i −0.158271 + 0.168097i
\(541\) 25.9229 + 10.7376i 1.11451 + 0.461646i 0.862489 0.506076i \(-0.168904\pi\)
0.252022 + 0.967721i \(0.418904\pi\)
\(542\) 0.205663 + 13.6656i 0.00883399 + 0.586989i
\(543\) −7.15234 −0.306936
\(544\) 2.23458 + 29.6422i 0.0958067 + 1.27090i
\(545\) 10.1627 0.435323
\(546\) 0.0655981 + 4.35877i 0.00280734 + 0.186538i
\(547\) −0.340788 0.141159i −0.0145710 0.00603552i 0.375386 0.926869i \(-0.377510\pi\)
−0.389957 + 0.920833i \(0.627510\pi\)
\(548\) −24.7370 23.2910i −1.05671 0.994943i
\(549\) −3.77603 9.11615i −0.161157 0.389068i
\(550\) −2.58193 + 6.50867i −0.110094 + 0.277530i
\(551\) −4.30766 + 4.30766i −0.183513 + 0.183513i
\(552\) −2.21814 4.73809i −0.0944103 0.201667i
\(553\) −4.79080 4.79080i −0.203726 0.203726i
\(554\) 15.6913 6.77793i 0.666657 0.287967i
\(555\) 4.16422 1.72488i 0.176761 0.0732170i
\(556\) 32.3370 14.5494i 1.37139 0.617032i
\(557\) 6.65730 16.0721i 0.282079 0.680999i −0.717805 0.696244i \(-0.754853\pi\)
0.999884 + 0.0152456i \(0.00485300\pi\)
\(558\) 27.2171 + 26.4100i 1.15219 + 1.11803i
\(559\) 56.9384i 2.40824i
\(560\) −3.30208 1.14029i −0.139538 0.0481862i
\(561\) 3.30271i 0.139440i
\(562\) −10.5275 + 10.8493i −0.444077 + 0.457648i
\(563\) 5.01585 12.1093i 0.211393 0.510348i −0.782245 0.622971i \(-0.785925\pi\)
0.993638 + 0.112623i \(0.0359254\pi\)
\(564\) 3.14009 8.27699i 0.132222 0.348524i
\(565\) −6.75097 + 2.79634i −0.284015 + 0.117643i
\(566\) −16.3263 37.7961i −0.686244 1.58869i
\(567\) 4.58203 + 4.58203i 0.192427 + 0.192427i
\(568\) 11.6269 12.7271i 0.487854 0.534018i
\(569\) −6.52759 + 6.52759i −0.273651 + 0.273651i −0.830568 0.556917i \(-0.811984\pi\)
0.556917 + 0.830568i \(0.311984\pi\)
\(570\) −0.830594 0.329489i −0.0347897 0.0138008i
\(571\) −5.42099 13.0874i −0.226861 0.547691i 0.768931 0.639332i \(-0.220789\pi\)
−0.995792 + 0.0916404i \(0.970789\pi\)
\(572\) −0.403031 13.3870i −0.0168516 0.559738i
\(573\) −13.2984 5.50839i −0.555550 0.230116i
\(574\) −1.58280 + 0.0238206i −0.0660647 + 0.000994252i
\(575\) −14.5713 −0.607664
\(576\) −16.6542 13.8889i −0.693925 0.578705i
\(577\) 28.3984 1.18224 0.591121 0.806583i \(-0.298686\pi\)
0.591121 + 0.806583i \(0.298686\pi\)
\(578\) −15.0090 + 0.225881i −0.624293 + 0.00939541i
\(579\) 2.32698 + 0.963865i 0.0967058 + 0.0400569i
\(580\) 0.238064 + 7.90750i 0.00988509 + 0.328341i
\(581\) 3.03795 + 7.33426i 0.126035 + 0.304277i
\(582\) 2.20426 + 0.874411i 0.0913696 + 0.0362455i
\(583\) 7.24993 7.24993i 0.300261 0.300261i
\(584\) 9.63146 + 8.79885i 0.398553 + 0.364099i
\(585\) −9.59353 9.59353i −0.396644 0.396644i
\(586\) −15.7402 36.4394i −0.650222 1.50530i
\(587\) 1.70447 0.706016i 0.0703511 0.0291404i −0.347230 0.937780i \(-0.612878\pi\)
0.417582 + 0.908639i \(0.362878\pi\)
\(588\) 0.381573 1.00579i 0.0157358 0.0414781i
\(589\) −5.09218 + 12.2936i −0.209820 + 0.506549i
\(590\) 0.902197 0.929767i 0.0371428 0.0382779i
\(591\) 0.937039i 0.0385446i
\(592\) 16.7941 + 34.5112i 0.690235 + 1.41840i
\(593\) 25.3401i 1.04059i 0.853985 + 0.520297i \(0.174179\pi\)
−0.853985 + 0.520297i \(0.825821\pi\)
\(594\) 3.64277 + 3.53475i 0.149465 + 0.145032i
\(595\) 1.75629 4.24006i 0.0720009 0.173826i
\(596\) 25.6437 11.5379i 1.05041 0.472611i
\(597\) 0.691731 0.286524i 0.0283106 0.0117267i
\(598\) 25.5859 11.0520i 1.04628 0.451949i
\(599\) 11.9330 + 11.9330i 0.487569 + 0.487569i 0.907538 0.419969i \(-0.137959\pi\)
−0.419969 + 0.907538i \(0.637959\pi\)
\(600\) 5.83814 2.73313i 0.238341 0.111579i
\(601\) −18.7257 + 18.7257i −0.763837 + 0.763837i −0.977014 0.213177i \(-0.931619\pi\)
0.213177 + 0.977014i \(0.431619\pi\)
\(602\) 5.18103 13.0606i 0.211163 0.532311i
\(603\) −2.29399 5.53817i −0.0934184 0.225532i
\(604\) 29.7426 + 28.0040i 1.21021 + 1.13947i
\(605\) 7.77393 + 3.22007i 0.316055 + 0.130914i
\(606\) 0.0423946 + 2.81698i 0.00172216 + 0.114432i
\(607\) 8.47307 0.343911 0.171956 0.985105i \(-0.444991\pi\)
0.171956 + 0.985105i \(0.444991\pi\)
\(608\) 2.37510 7.22861i 0.0963229 0.293159i
\(609\) −2.43608 −0.0987150
\(610\) −0.0676548 4.49544i −0.00273926 0.182015i
\(611\) 43.5715 + 18.0479i 1.76271 + 0.730139i
\(612\) 19.5294 20.7418i 0.789430 0.838439i
\(613\) −2.97314 7.17779i −0.120084 0.289908i 0.852395 0.522898i \(-0.175149\pi\)
−0.972479 + 0.232990i \(0.925149\pi\)
\(614\) 13.9137 35.0743i 0.561510 1.41548i
\(615\) −0.371802 + 0.371802i −0.0149925 + 0.0149925i
\(616\) −1.12568 + 3.10740i −0.0453550 + 0.125201i
\(617\) 25.1426 + 25.1426i 1.01220 + 1.01220i 0.999925 + 0.0122778i \(0.00390824\pi\)
0.0122778 + 0.999925i \(0.496092\pi\)
\(618\) 7.32407 3.16368i 0.294617 0.127262i
\(619\) −1.84750 + 0.765259i −0.0742573 + 0.0307584i −0.419503 0.907754i \(-0.637796\pi\)
0.345246 + 0.938512i \(0.387796\pi\)
\(620\) 7.09019 + 15.7584i 0.284749 + 0.632873i
\(621\) −4.04221 + 9.75875i −0.162208 + 0.391605i
\(622\) 8.67063 + 8.41352i 0.347660 + 0.337351i
\(623\) 16.9670i 0.679769i
\(624\) −8.17825 + 9.22723i −0.327392 + 0.369385i
\(625\) 14.1406i 0.565622i
\(626\) −8.97389 + 9.24812i −0.358669 + 0.369629i
\(627\) −0.323508 + 0.781018i −0.0129197 + 0.0311908i
\(628\) 4.62683 + 1.75531i 0.184631 + 0.0700445i
\(629\) −46.5836 + 19.2955i −1.85741 + 0.769364i
\(630\) 1.32763 + 3.07353i 0.0528940 + 0.122452i
\(631\) −23.1168 23.1168i −0.920263 0.920263i 0.0767844 0.997048i \(-0.475535\pi\)
−0.997048 + 0.0767844i \(0.975535\pi\)
\(632\) −0.864841 19.1437i −0.0344015 0.761495i
\(633\) −9.27544 + 9.27544i −0.368666 + 0.368666i
\(634\) 20.6148 + 8.17770i 0.818717 + 0.324778i
\(635\) −0.353643 0.853770i −0.0140339 0.0338808i
\(636\) −9.43476 + 0.284045i −0.374113 + 0.0112631i
\(637\) 5.29465 + 2.19312i 0.209782 + 0.0868944i
\(638\) 7.48357 0.112625i 0.296277 0.00445888i
\(639\) −16.5209 −0.653557
\(640\) −4.72013 8.68056i −0.186580 0.343129i
\(641\) 41.4657 1.63780 0.818898 0.573939i \(-0.194586\pi\)
0.818898 + 0.573939i \(0.194586\pi\)
\(642\) 2.21063 0.0332692i 0.0872465 0.00131303i
\(643\) −32.5659 13.4893i −1.28428 0.531964i −0.367001 0.930221i \(-0.619615\pi\)
−0.917274 + 0.398256i \(0.869615\pi\)
\(644\) −6.87459 + 0.206967i −0.270897 + 0.00815566i
\(645\) −1.78604 4.31187i −0.0703251 0.169780i
\(646\) 9.29154 + 3.68587i 0.365571 + 0.145019i
\(647\) 21.6051 21.6051i 0.849386 0.849386i −0.140671 0.990056i \(-0.544926\pi\)
0.990056 + 0.140671i \(0.0449259\pi\)
\(648\) 0.827153 + 18.3094i 0.0324936 + 0.719263i
\(649\) −0.866678 0.866678i −0.0340201 0.0340201i
\(650\) 13.6179 + 31.5262i 0.534139 + 1.23656i
\(651\) −4.91603 + 2.03629i −0.192674 + 0.0798084i
\(652\) 11.7794 + 4.46882i 0.461316 + 0.175012i
\(653\) 13.5695 32.7596i 0.531015 1.28198i −0.399837 0.916586i \(-0.630933\pi\)
0.930852 0.365397i \(-0.119067\pi\)
\(654\) −6.16397 + 6.35234i −0.241030 + 0.248396i
\(655\) 0.167833i 0.00655777i
\(656\) −3.35068 2.96976i −0.130822 0.115950i
\(657\) 12.5025i 0.487768i
\(658\) −8.35224 8.10457i −0.325604 0.315949i
\(659\) −8.82964 + 21.3166i −0.343954 + 0.830379i 0.653354 + 0.757053i \(0.273361\pi\)
−0.997308 + 0.0733260i \(0.976639\pi\)
\(660\) 0.450442 + 1.00114i 0.0175334 + 0.0389692i
\(661\) −13.8213 + 5.72498i −0.537587 + 0.222676i −0.634922 0.772576i \(-0.718968\pi\)
0.0973357 + 0.995252i \(0.468968\pi\)
\(662\) −44.3471 + 19.1560i −1.72360 + 0.744519i
\(663\) −11.4538 11.4538i −0.444829 0.444829i
\(664\) −7.64767 + 21.1111i −0.296787 + 0.819269i
\(665\) −0.830648 + 0.830648i −0.0322112 + 0.0322112i
\(666\) 13.5633 34.1910i 0.525566 1.32488i
\(667\) 5.96030 + 14.3894i 0.230784 + 0.557161i
\(668\) −26.3582 + 27.9946i −1.01983 + 1.08314i
\(669\) 2.72318 + 1.12798i 0.105284 + 0.0436101i
\(670\) −0.0411011 2.73103i −0.00158788 0.105509i
\(671\) −4.25347 −0.164203
\(672\) 2.71556 1.37239i 0.104755 0.0529410i
\(673\) −39.8890 −1.53761 −0.768804 0.639485i \(-0.779148\pi\)
−0.768804 + 0.639485i \(0.779148\pi\)
\(674\) 0.422318 + 28.0616i 0.0162671 + 1.08089i
\(675\) −12.0244 4.98069i −0.462821 0.191707i
\(676\) −28.8941 27.2051i −1.11131 1.04635i
\(677\) −14.6696 35.4155i −0.563798 1.36113i −0.906708 0.421760i \(-0.861413\pi\)
0.342910 0.939368i \(-0.388587\pi\)
\(678\) 2.34676 5.91584i 0.0901268 0.227197i
\(679\) 2.20441 2.20441i 0.0845973 0.0845973i
\(680\) 11.7563 5.50371i 0.450833 0.211058i
\(681\) −9.21774 9.21774i −0.353224 0.353224i
\(682\) 15.0078 6.48269i 0.574677 0.248235i
\(683\) −35.7886 + 14.8241i −1.36941 + 0.567230i −0.941629 0.336651i \(-0.890706\pi\)
−0.427784 + 0.903881i \(0.640706\pi\)
\(684\) −6.64999 + 2.99203i −0.254269 + 0.114403i
\(685\) −5.67775 + 13.7073i −0.216936 + 0.523729i
\(686\) −1.01493 0.984839i −0.0387504 0.0376013i
\(687\) 8.71438i 0.332474i
\(688\) 35.7349 17.3896i 1.36238 0.662973i
\(689\) 50.2855i 1.91573i
\(690\) −1.59091 + 1.63953i −0.0605649 + 0.0624157i
\(691\) −14.4035 + 34.7732i −0.547936 + 1.32283i 0.371076 + 0.928603i \(0.378989\pi\)
−0.919011 + 0.394231i \(0.871011\pi\)
\(692\) −3.95248 + 10.4184i −0.150251 + 0.396047i
\(693\) 2.92633 1.21213i 0.111162 0.0460449i
\(694\) 6.19438 + 14.3403i 0.235135 + 0.544350i
\(695\) −10.9491 10.9491i −0.415321 0.415321i
\(696\) −5.08708 4.64732i −0.192825 0.176156i
\(697\) 4.15921 4.15921i 0.157541 0.157541i
\(698\) −3.33789 1.32411i −0.126341 0.0501184i
\(699\) −0.629858 1.52061i −0.0238234 0.0575148i
\(700\) −0.255019 8.47067i −0.00963882 0.320161i
\(701\) 0.291289 + 0.120656i 0.0110018 + 0.00455711i 0.388178 0.921585i \(-0.373105\pi\)
−0.377176 + 0.926142i \(0.623105\pi\)
\(702\) 24.8916 0.374611i 0.939474 0.0141388i
\(703\) 12.9060 0.486760
\(704\) −8.27866 + 4.34148i −0.312014 + 0.163626i
\(705\) −3.86574 −0.145592
\(706\) 46.9821 0.707065i 1.76819 0.0266108i
\(707\) 3.42181 + 1.41736i 0.128691 + 0.0533054i
\(708\) 0.0339555 + 1.12786i 0.00127613 + 0.0423876i
\(709\) −3.23015 7.79827i −0.121311 0.292870i 0.851545 0.524281i \(-0.175666\pi\)
−0.972856 + 0.231411i \(0.925666\pi\)
\(710\) −6.99719 2.77572i −0.262600 0.104171i
\(711\) −12.9864 + 12.9864i −0.487028 + 0.487028i
\(712\) 32.3680 35.4309i 1.21304 1.32783i
\(713\) 24.0559 + 24.0559i 0.900899 + 0.900899i
\(714\) 1.58507 + 3.66951i 0.0593196 + 0.137328i
\(715\) −5.40325 + 2.23810i −0.202070 + 0.0837002i
\(716\) −7.73761 + 20.3956i −0.289168 + 0.762219i
\(717\) 1.45270 3.50713i 0.0542521 0.130976i
\(718\) 13.0250 13.4230i 0.486089 0.500943i
\(719\) 40.6565i 1.51623i 0.652119 + 0.758117i \(0.273880\pi\)
−0.652119 + 0.758117i \(0.726120\pi\)
\(720\) −3.09099 + 8.95093i −0.115194 + 0.333581i
\(721\) 10.4884i 0.390610i
\(722\) 17.4476 + 16.9302i 0.649331 + 0.630076i
\(723\) −1.48052 + 3.57428i −0.0550610 + 0.132929i
\(724\) −24.2533 + 10.9123i −0.901366 + 0.405552i
\(725\) −17.7302 + 7.34411i −0.658485 + 0.272753i
\(726\) −6.72785 + 2.90613i −0.249694 + 0.107857i
\(727\) −26.6048 26.6048i −0.986717 0.986717i 0.0131958 0.999913i \(-0.495800\pi\)
−0.999913 + 0.0131958i \(0.995800\pi\)
\(728\) 6.87260 + 14.6803i 0.254715 + 0.544089i
\(729\) 8.91581 8.91581i 0.330215 0.330215i
\(730\) 2.10058 5.29525i 0.0777458 0.195986i
\(731\) 19.9797 + 48.2353i 0.738977 + 1.78405i
\(732\) 2.85097 + 2.68432i 0.105375 + 0.0992153i
\(733\) 39.7433 + 16.4622i 1.46795 + 0.608045i 0.966391 0.257078i \(-0.0827596\pi\)
0.501560 + 0.865123i \(0.332760\pi\)
\(734\) −0.107029 7.11169i −0.00395050 0.262497i
\(735\) −0.469750 −0.0173270
\(736\) −14.7505 12.6825i −0.543711 0.467482i
\(737\) −2.58403 −0.0951840
\(738\) 0.0645704 + 4.29049i 0.00237687 + 0.157935i
\(739\) 37.0635 + 15.3522i 1.36340 + 0.564740i 0.939992 0.341197i \(-0.110832\pi\)
0.423412 + 0.905937i \(0.360832\pi\)
\(740\) 11.4891 12.2023i 0.422346 0.448566i
\(741\) 1.58664 + 3.83050i 0.0582868 + 0.140717i
\(742\) −4.57566 + 11.5346i −0.167978 + 0.423447i
\(743\) −5.61165 + 5.61165i −0.205871 + 0.205871i −0.802510 0.596639i \(-0.796503\pi\)
0.596639 + 0.802510i \(0.296503\pi\)
\(744\) −14.1504 5.12610i −0.518779 0.187932i
\(745\) −8.68277 8.68277i −0.318112 0.318112i
\(746\) 6.45915 2.79007i 0.236486 0.102152i
\(747\) 19.8810 8.23497i 0.727406 0.301302i
\(748\) −5.03893 11.1993i −0.184241 0.409488i
\(749\) 1.11228 2.68527i 0.0406417 0.0981178i
\(750\) −4.40401 4.27342i −0.160812 0.156043i
\(751\) 0.0743355i 0.00271254i −0.999999 0.00135627i \(-0.999568\pi\)
0.999999 0.00135627i \(-0.000431714\pi\)
\(752\) −1.98024 32.8577i −0.0722118 1.19820i
\(753\) 11.7156i 0.426942i
\(754\) 25.5624 26.3436i 0.930929 0.959377i
\(755\) 6.82666 16.4810i 0.248448 0.599806i
\(756\) −5.74376 2.17905i −0.208899 0.0792512i
\(757\) −26.4930 + 10.9738i −0.962905 + 0.398848i −0.808066 0.589091i \(-0.799486\pi\)
−0.154839 + 0.987940i \(0.549486\pi\)
\(758\) 0.222351 + 0.514754i 0.00807615 + 0.0186967i
\(759\) 1.52828 + 1.52828i 0.0554730 + 0.0554730i
\(760\) −3.31921 + 0.149950i −0.120400 + 0.00543924i
\(761\) 28.0847 28.0847i 1.01807 1.01807i 0.0182342 0.999834i \(-0.494196\pi\)
0.999834 0.0182342i \(-0.00580444\pi\)
\(762\) 0.748155 + 0.296786i 0.0271028 + 0.0107514i
\(763\) 4.45306 + 10.7506i 0.161212 + 0.389199i
\(764\) −53.4985 + 1.61064i −1.93551 + 0.0582707i
\(765\) −11.4935 4.76077i −0.415549 0.172126i
\(766\) 48.2482 0.726119i 1.74328 0.0262357i
\(767\) −6.01128 −0.217055
\(768\) 8.28879 + 2.31462i 0.299096 + 0.0835218i
\(769\) 31.0285 1.11892 0.559458 0.828858i \(-0.311009\pi\)
0.559458 + 0.828858i \(0.311009\pi\)
\(770\) 1.44306 0.0217176i 0.0520042 0.000782647i
\(771\) −3.14616 1.30318i −0.113306 0.0469329i
\(772\) 9.36124 0.281831i 0.336918 0.0101433i
\(773\) 7.99185 + 19.2940i 0.287447 + 0.693958i 0.999970 0.00769008i \(-0.00244785\pi\)
−0.712524 + 0.701648i \(0.752448\pi\)