Properties

Label 690.2.w.a.7.2
Level $690$
Weight $2$
Character 690.7
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 7.2
Character \(\chi\) \(=\) 690.7
Dual form 690.2.w.a.493.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.997452 + 0.0713392i) q^{2} +(0.212565 - 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(-2.11721 - 0.719325i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-2.05801 + 3.76897i) q^{7} +(-0.977147 + 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +O(q^{10})\) \(q+(-0.997452 + 0.0713392i) q^{2} +(0.212565 - 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(-2.11721 - 0.719325i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-2.05801 + 3.76897i) q^{7} +(-0.977147 + 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +(2.16313 + 0.566452i) q^{10} +(2.64636 - 2.29308i) q^{11} +(0.0713392 - 0.997452i) q^{12} +(0.896834 - 0.489708i) q^{13} +(1.78389 - 3.90618i) q^{14} +(-1.15293 + 1.91592i) q^{15} +(0.959493 - 0.281733i) q^{16} +(-0.279315 - 0.373122i) q^{17} +(0.936950 + 0.349464i) q^{18} +(0.218004 + 1.51625i) q^{19} +(-2.19803 - 0.410693i) q^{20} +(3.24537 + 2.81213i) q^{21} +(-2.47603 + 2.47603i) q^{22} +(4.68188 + 1.03924i) q^{23} +1.00000i q^{24} +(3.96514 + 3.04592i) q^{25} +(-0.859613 + 0.552440i) q^{26} +(-0.599278 + 0.800541i) q^{27} +(-1.50068 + 4.02349i) q^{28} +(7.70426 + 1.10771i) q^{29} +(1.01331 - 1.99329i) q^{30} +(4.48357 + 2.88141i) q^{31} +(-0.936950 + 0.349464i) q^{32} +(-1.67815 - 3.07331i) q^{33} +(0.305222 + 0.352245i) q^{34} +(7.06835 - 6.49931i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(0.203874 + 0.546607i) q^{37} +(-0.325617 - 1.49684i) q^{38} +(-0.287881 - 0.980433i) q^{39} +(2.22173 + 0.252841i) q^{40} +(-3.64571 - 7.98298i) q^{41} +(-3.43772 - 2.57344i) q^{42} +(2.91987 + 0.635179i) q^{43} +(2.29308 - 2.64636i) q^{44} +(1.62706 + 1.53384i) q^{45} +(-4.74409 - 0.702595i) q^{46} +(-0.989385 - 0.989385i) q^{47} +(-0.0713392 - 0.997452i) q^{48} +(-6.18520 - 9.62437i) q^{49} +(-4.17233 - 2.75529i) q^{50} +(-0.423967 + 0.193619i) q^{51} +(0.818013 - 0.612357i) q^{52} +(9.95488 + 5.43578i) q^{53} +(0.540641 - 0.841254i) q^{54} +(-7.25237 + 2.95134i) q^{55} +(1.20983 - 4.12029i) q^{56} +(1.52794 + 0.109281i) q^{57} +(-7.76365 - 0.555267i) q^{58} +(-0.205474 + 0.699779i) q^{59} +(-0.868532 + 2.06050i) q^{60} +(3.11627 - 4.84901i) q^{61} +(-4.67770 - 2.55422i) q^{62} +(3.43772 - 2.57344i) q^{63} +(0.909632 - 0.415415i) q^{64} +(-2.25104 + 0.391700i) q^{65} +(1.89313 + 2.94576i) q^{66} +(0.845557 + 11.8224i) q^{67} +(-0.329573 - 0.329573i) q^{68} +(2.01070 - 4.35397i) q^{69} +(-6.58668 + 6.98700i) q^{70} +(9.63328 - 11.1174i) q^{71} +(0.977147 + 0.212565i) q^{72} +(-2.52325 - 1.88888i) q^{73} +(-0.242349 - 0.530670i) q^{74} +(3.81917 - 3.22707i) q^{75} +(0.431571 + 1.46979i) q^{76} +(3.19631 + 14.6932i) q^{77} +(0.357091 + 0.957398i) q^{78} +(8.14319 + 2.39106i) q^{79} +(-2.23410 - 0.0937008i) q^{80} +(0.654861 + 0.755750i) q^{81} +(4.20592 + 7.70256i) q^{82} +(-9.19453 + 3.42938i) q^{83} +(3.61255 + 2.32164i) q^{84} +(0.322973 + 0.990895i) q^{85} +(-2.95775 - 0.425260i) q^{86} +(2.72005 - 7.29273i) q^{87} +(-2.09845 + 2.80320i) q^{88} +(1.85091 - 1.18951i) q^{89} +(-1.73234 - 1.41386i) q^{90} +4.38796i q^{91} +(4.78212 + 0.362365i) q^{92} +(3.76862 - 3.76862i) q^{93} +(1.05745 + 0.916282i) q^{94} +(0.629118 - 3.36704i) q^{95} +(0.142315 + 0.989821i) q^{96} +(13.2709 + 4.94979i) q^{97} +(6.85604 + 9.15860i) q^{98} +(-3.35979 + 0.986524i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{6} + O(q^{10}) \) \( 240q - 24q^{6} + 44q^{10} - 16q^{13} + 24q^{16} + 44q^{21} + 72q^{23} + 16q^{25} + 44q^{28} - 16q^{31} - 44q^{33} - 24q^{36} + 44q^{37} + 88q^{43} - 8q^{46} + 48q^{47} + 8q^{50} - 16q^{52} + 56q^{55} + 44q^{57} + 16q^{58} + 88q^{61} + 8q^{62} + 88q^{65} - 132q^{67} + 56q^{70} - 64q^{71} + 16q^{73} - 32q^{75} - 16q^{77} - 16q^{78} + 24q^{81} - 24q^{82} + 92q^{85} - 16q^{87} - 44q^{88} + 116q^{92} - 80q^{93} + 20q^{95} + 24q^{96} - 88q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{19}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.997452 + 0.0713392i −0.705305 + 0.0504444i
\(3\) 0.212565 0.977147i 0.122725 0.564156i
\(4\) 0.989821 0.142315i 0.494911 0.0711574i
\(5\) −2.11721 0.719325i −0.946844 0.321692i
\(6\) −0.142315 + 0.989821i −0.0580998 + 0.404093i
\(7\) −2.05801 + 3.76897i −0.777855 + 1.42453i 0.123903 + 0.992294i \(0.460459\pi\)
−0.901758 + 0.432241i \(0.857723\pi\)
\(8\) −0.977147 + 0.212565i −0.345474 + 0.0751532i
\(9\) −0.909632 0.415415i −0.303211 0.138472i
\(10\) 2.16313 + 0.566452i 0.684042 + 0.179128i
\(11\) 2.64636 2.29308i 0.797907 0.691391i −0.157227 0.987562i \(-0.550256\pi\)
0.955135 + 0.296172i \(0.0957101\pi\)
\(12\) 0.0713392 0.997452i 0.0205938 0.287940i
\(13\) 0.896834 0.489708i 0.248737 0.135821i −0.350045 0.936733i \(-0.613834\pi\)
0.598782 + 0.800912i \(0.295652\pi\)
\(14\) 1.78389 3.90618i 0.476765 1.04397i
\(15\) −1.15293 + 1.91592i −0.297686 + 0.494688i
\(16\) 0.959493 0.281733i 0.239873 0.0704331i
\(17\) −0.279315 0.373122i −0.0677439 0.0904953i 0.765390 0.643567i \(-0.222546\pi\)
−0.833133 + 0.553072i \(0.813455\pi\)
\(18\) 0.936950 + 0.349464i 0.220841 + 0.0823695i
\(19\) 0.218004 + 1.51625i 0.0500136 + 0.347852i 0.999428 + 0.0338256i \(0.0107691\pi\)
−0.949414 + 0.314027i \(0.898322\pi\)
\(20\) −2.19803 0.410693i −0.491494 0.0918338i
\(21\) 3.24537 + 2.81213i 0.708198 + 0.613657i
\(22\) −2.47603 + 2.47603i −0.527891 + 0.527891i
\(23\) 4.68188 + 1.03924i 0.976239 + 0.216697i
\(24\) 1.00000i 0.204124i
\(25\) 3.96514 + 3.04592i 0.793029 + 0.609184i
\(26\) −0.859613 + 0.552440i −0.168584 + 0.108342i
\(27\) −0.599278 + 0.800541i −0.115331 + 0.154064i
\(28\) −1.50068 + 4.02349i −0.283603 + 0.760368i
\(29\) 7.70426 + 1.10771i 1.43064 + 0.205696i 0.813688 0.581302i \(-0.197456\pi\)
0.616957 + 0.786997i \(0.288365\pi\)
\(30\) 1.01331 1.99329i 0.185005 0.363923i
\(31\) 4.48357 + 2.88141i 0.805273 + 0.517517i 0.877332 0.479883i \(-0.159321\pi\)
−0.0720599 + 0.997400i \(0.522957\pi\)
\(32\) −0.936950 + 0.349464i −0.165631 + 0.0617771i
\(33\) −1.67815 3.07331i −0.292129 0.534995i
\(34\) 0.305222 + 0.352245i 0.0523451 + 0.0604095i
\(35\) 7.06835 6.49931i 1.19477 1.09858i
\(36\) −0.959493 0.281733i −0.159915 0.0469554i
\(37\) 0.203874 + 0.546607i 0.0335167 + 0.0898616i 0.952630 0.304131i \(-0.0983662\pi\)
−0.919113 + 0.393993i \(0.871093\pi\)
\(38\) −0.325617 1.49684i −0.0528221 0.242819i
\(39\) −0.287881 0.980433i −0.0460979 0.156995i
\(40\) 2.22173 + 0.252841i 0.351286 + 0.0399777i
\(41\) −3.64571 7.98298i −0.569364 1.24673i −0.947136 0.320834i \(-0.896037\pi\)
0.377772 0.925899i \(-0.376690\pi\)
\(42\) −3.43772 2.57344i −0.530451 0.397091i
\(43\) 2.91987 + 0.635179i 0.445276 + 0.0968639i 0.429612 0.903013i \(-0.358650\pi\)
0.0156639 + 0.999877i \(0.495014\pi\)
\(44\) 2.29308 2.64636i 0.345695 0.398954i
\(45\) 1.62706 + 1.53384i 0.242548 + 0.228652i
\(46\) −4.74409 0.702595i −0.699477 0.103592i
\(47\) −0.989385 0.989385i −0.144317 0.144317i 0.631257 0.775574i \(-0.282539\pi\)
−0.775574 + 0.631257i \(0.782539\pi\)
\(48\) −0.0713392 0.997452i −0.0102969 0.143970i
\(49\) −6.18520 9.62437i −0.883601 1.37491i
\(50\) −4.17233 2.75529i −0.590057 0.389657i
\(51\) −0.423967 + 0.193619i −0.0593673 + 0.0271121i
\(52\) 0.818013 0.612357i 0.113438 0.0849186i
\(53\) 9.95488 + 5.43578i 1.36741 + 0.746662i 0.984210 0.177004i \(-0.0566407\pi\)
0.383198 + 0.923666i \(0.374823\pi\)
\(54\) 0.540641 0.841254i 0.0735719 0.114480i
\(55\) −7.25237 + 2.95134i −0.977909 + 0.397959i
\(56\) 1.20983 4.12029i 0.161670 0.550597i
\(57\) 1.52794 + 0.109281i 0.202381 + 0.0144746i
\(58\) −7.76365 0.555267i −1.01942 0.0729102i
\(59\) −0.205474 + 0.699779i −0.0267504 + 0.0911035i −0.971786 0.235863i \(-0.924208\pi\)
0.945036 + 0.326967i \(0.106026\pi\)
\(60\) −0.868532 + 2.06050i −0.112127 + 0.266009i
\(61\) 3.11627 4.84901i 0.398997 0.620852i −0.582386 0.812912i \(-0.697881\pi\)
0.981383 + 0.192061i \(0.0615171\pi\)
\(62\) −4.67770 2.55422i −0.594069 0.324386i
\(63\) 3.43772 2.57344i 0.433112 0.324223i
\(64\) 0.909632 0.415415i 0.113704 0.0519269i
\(65\) −2.25104 + 0.391700i −0.279208 + 0.0485843i
\(66\) 1.89313 + 2.94576i 0.233028 + 0.362598i
\(67\) 0.845557 + 11.8224i 0.103301 + 1.44434i 0.739678 + 0.672961i \(0.234978\pi\)
−0.636377 + 0.771379i \(0.719568\pi\)
\(68\) −0.329573 0.329573i −0.0399666 0.0399666i
\(69\) 2.01070 4.35397i 0.242060 0.524157i
\(70\) −6.58668 + 6.98700i −0.787259 + 0.835106i
\(71\) 9.63328 11.1174i 1.14326 1.31939i 0.202904 0.979199i \(-0.434962\pi\)
0.940356 0.340193i \(-0.110492\pi\)
\(72\) 0.977147 + 0.212565i 0.115158 + 0.0250511i
\(73\) −2.52325 1.88888i −0.295324 0.221076i 0.441333 0.897343i \(-0.354506\pi\)
−0.736657 + 0.676267i \(0.763597\pi\)
\(74\) −0.242349 0.530670i −0.0281725 0.0616891i
\(75\) 3.81917 3.22707i 0.440999 0.372630i
\(76\) 0.431571 + 1.46979i 0.0495046 + 0.168597i
\(77\) 3.19631 + 14.6932i 0.364254 + 1.67445i
\(78\) 0.357091 + 0.957398i 0.0404326 + 0.108404i
\(79\) 8.14319 + 2.39106i 0.916181 + 0.269015i 0.705640 0.708570i \(-0.250659\pi\)
0.210540 + 0.977585i \(0.432478\pi\)
\(80\) −2.23410 0.0937008i −0.249780 0.0104761i
\(81\) 0.654861 + 0.755750i 0.0727623 + 0.0839722i
\(82\) 4.20592 + 7.70256i 0.464466 + 0.850606i
\(83\) −9.19453 + 3.42938i −1.00923 + 0.376424i −0.799067 0.601242i \(-0.794673\pi\)
−0.210164 + 0.977666i \(0.567400\pi\)
\(84\) 3.61255 + 2.32164i 0.394161 + 0.253312i
\(85\) 0.322973 + 0.990895i 0.0350314 + 0.107478i
\(86\) −2.95775 0.425260i −0.318942 0.0458569i
\(87\) 2.72005 7.29273i 0.291620 0.781863i
\(88\) −2.09845 + 2.80320i −0.223696 + 0.298822i
\(89\) 1.85091 1.18951i 0.196196 0.126087i −0.438855 0.898558i \(-0.644616\pi\)
0.635050 + 0.772471i \(0.280979\pi\)
\(90\) −1.73234 1.41386i −0.182605 0.149034i
\(91\) 4.38796i 0.459983i
\(92\) 4.78212 + 0.362365i 0.498571 + 0.0377792i
\(93\) 3.76862 3.76862i 0.390787 0.390787i
\(94\) 1.05745 + 0.916282i 0.109067 + 0.0945073i
\(95\) 0.629118 3.36704i 0.0645462 0.345451i
\(96\) 0.142315 + 0.989821i 0.0145249 + 0.101023i
\(97\) 13.2709 + 4.94979i 1.34746 + 0.502575i 0.916586 0.399838i \(-0.130934\pi\)
0.430871 + 0.902414i \(0.358206\pi\)
\(98\) 6.85604 + 9.15860i 0.692565 + 0.925158i
\(99\) −3.35979 + 0.986524i −0.337672 + 0.0991494i
\(100\) 4.35826 + 2.45062i 0.435826 + 0.245062i
\(101\) −8.23439 + 18.0308i −0.819352 + 1.79413i −0.258998 + 0.965878i \(0.583392\pi\)
−0.560354 + 0.828253i \(0.689335\pi\)
\(102\) 0.409075 0.223372i 0.0405044 0.0221171i
\(103\) 0.336759 4.70851i 0.0331819 0.463943i −0.953512 0.301355i \(-0.902561\pi\)
0.986694 0.162588i \(-0.0519843\pi\)
\(104\) −0.772243 + 0.669153i −0.0757247 + 0.0656158i
\(105\) −4.84829 8.28834i −0.473145 0.808859i
\(106\) −10.3173 4.71176i −1.00211 0.457646i
\(107\) 8.57301 1.86494i 0.828784 0.180291i 0.221888 0.975072i \(-0.428778\pi\)
0.606896 + 0.794781i \(0.292414\pi\)
\(108\) −0.479249 + 0.877679i −0.0461158 + 0.0844547i
\(109\) −0.941118 + 6.54562i −0.0901427 + 0.626957i 0.893799 + 0.448467i \(0.148030\pi\)
−0.983942 + 0.178489i \(0.942879\pi\)
\(110\) 7.02334 3.46120i 0.669649 0.330013i
\(111\) 0.577452 0.0830250i 0.0548093 0.00788039i
\(112\) −0.912807 + 4.19610i −0.0862521 + 0.396495i
\(113\) −17.2541 + 1.23404i −1.62313 + 0.116088i −0.853039 0.521847i \(-0.825243\pi\)
−0.770090 + 0.637936i \(0.779789\pi\)
\(114\) −1.53185 −0.143470
\(115\) −9.16495 5.56809i −0.854636 0.519227i
\(116\) 7.78348 0.722678
\(117\) −1.01922 + 0.0728961i −0.0942270 + 0.00673925i
\(118\) 0.155029 0.712655i 0.0142715 0.0656052i
\(119\) 1.98112 0.284842i 0.181609 0.0261114i
\(120\) 0.719325 2.11721i 0.0656651 0.193274i
\(121\) 0.179522 1.24860i 0.0163202 0.113510i
\(122\) −2.76240 + 5.05896i −0.250096 + 0.458017i
\(123\) −8.57550 + 1.86549i −0.773226 + 0.168205i
\(124\) 4.84800 + 2.21401i 0.435363 + 0.198824i
\(125\) −6.20403 9.30108i −0.554905 0.831914i
\(126\) −3.24537 + 2.81213i −0.289121 + 0.250524i
\(127\) 0.867350 12.1271i 0.0769649 1.07611i −0.801403 0.598125i \(-0.795913\pi\)
0.878368 0.477985i \(-0.158633\pi\)
\(128\) −0.877679 + 0.479249i −0.0775766 + 0.0423600i
\(129\) 1.24133 2.71813i 0.109293 0.239318i
\(130\) 2.21736 0.551289i 0.194476 0.0483513i
\(131\) −1.92181 + 0.564295i −0.167910 + 0.0493027i −0.364607 0.931162i \(-0.618797\pi\)
0.196697 + 0.980464i \(0.436978\pi\)
\(132\) −2.09845 2.80320i −0.182647 0.243987i
\(133\) −6.16336 2.29881i −0.534431 0.199333i
\(134\) −1.68681 11.7320i −0.145718 1.01349i
\(135\) 1.84465 1.26384i 0.158762 0.108774i
\(136\) 0.352245 + 0.305222i 0.0302048 + 0.0261726i
\(137\) −14.3078 + 14.3078i −1.22240 + 1.22240i −0.255622 + 0.966777i \(0.582280\pi\)
−0.966777 + 0.255622i \(0.917720\pi\)
\(138\) −1.69497 + 4.48632i −0.144285 + 0.381901i
\(139\) 3.17705i 0.269474i 0.990881 + 0.134737i \(0.0430189\pi\)
−0.990881 + 0.134737i \(0.956981\pi\)
\(140\) 6.07146 7.43908i 0.513132 0.628717i
\(141\) −1.17708 + 0.756466i −0.0991283 + 0.0637059i
\(142\) −8.81563 + 11.7763i −0.739791 + 0.988245i
\(143\) 1.25040 3.35246i 0.104564 0.280347i
\(144\) −0.989821 0.142315i −0.0824851 0.0118596i
\(145\) −15.5147 7.88711i −1.28843 0.654989i
\(146\) 2.65157 + 1.70406i 0.219445 + 0.141029i
\(147\) −10.7192 + 3.99805i −0.884103 + 0.329753i
\(148\) 0.279589 + 0.512029i 0.0229821 + 0.0420885i
\(149\) −8.12511 9.37688i −0.665635 0.768184i 0.318052 0.948073i \(-0.396971\pi\)
−0.983687 + 0.179890i \(0.942426\pi\)
\(150\) −3.57922 + 3.49130i −0.292242 + 0.285064i
\(151\) 12.6768 + 3.72225i 1.03163 + 0.302913i 0.753372 0.657595i \(-0.228426\pi\)
0.278254 + 0.960508i \(0.410244\pi\)
\(152\) −0.535325 1.43526i −0.0434206 0.116415i
\(153\) 0.0990739 + 0.455435i 0.00800965 + 0.0368198i
\(154\) −4.23637 14.4278i −0.341377 1.16262i
\(155\) −7.41997 9.32570i −0.595987 0.749058i
\(156\) −0.424481 0.929484i −0.0339857 0.0744183i
\(157\) 5.38395 + 4.03037i 0.429686 + 0.321659i 0.792136 0.610344i \(-0.208969\pi\)
−0.362450 + 0.932003i \(0.618060\pi\)
\(158\) −8.29302 1.80404i −0.659757 0.143521i
\(159\) 7.42762 8.57193i 0.589048 0.679798i
\(160\) 2.23510 0.0659171i 0.176700 0.00521120i
\(161\) −13.5522 + 15.5071i −1.06807 + 1.22213i
\(162\) −0.707107 0.707107i −0.0555556 0.0555556i
\(163\) −0.0922857 1.29032i −0.00722838 0.101066i 0.992557 0.121781i \(-0.0388604\pi\)
−0.999785 + 0.0207146i \(0.993406\pi\)
\(164\) −4.74469 7.38289i −0.370498 0.576507i
\(165\) 1.34229 + 7.71398i 0.104497 + 0.600532i
\(166\) 8.92646 4.07658i 0.692827 0.316404i
\(167\) 1.44788 1.08387i 0.112040 0.0838720i −0.541789 0.840515i \(-0.682253\pi\)
0.653829 + 0.756643i \(0.273162\pi\)
\(168\) −3.76897 2.05801i −0.290782 0.158779i
\(169\) −6.46383 + 10.0579i −0.497218 + 0.773686i
\(170\) −0.392840 0.965330i −0.0301294 0.0740374i
\(171\) 0.431571 1.46979i 0.0330030 0.112398i
\(172\) 2.98055 + 0.213173i 0.227265 + 0.0162543i
\(173\) −9.72762 0.695733i −0.739577 0.0528956i −0.303533 0.952821i \(-0.598166\pi\)
−0.436044 + 0.899925i \(0.643621\pi\)
\(174\) −2.19286 + 7.46820i −0.166240 + 0.566163i
\(175\) −19.6403 + 8.67594i −1.48467 + 0.655840i
\(176\) 1.89313 2.94576i 0.142700 0.222045i
\(177\) 0.640111 + 0.349527i 0.0481137 + 0.0262721i
\(178\) −1.76133 + 1.31852i −0.132018 + 0.0988271i
\(179\) 17.9069 8.17780i 1.33842 0.611238i 0.387846 0.921724i \(-0.373219\pi\)
0.950578 + 0.310486i \(0.100492\pi\)
\(180\) 1.82879 + 1.28667i 0.136310 + 0.0959030i
\(181\) −1.30004 2.02290i −0.0966311 0.150361i 0.789572 0.613658i \(-0.210303\pi\)
−0.886203 + 0.463297i \(0.846666\pi\)
\(182\) −0.313034 4.37678i −0.0232036 0.324429i
\(183\) −4.07578 4.07578i −0.301290 0.301290i
\(184\) −4.79579 0.0202895i −0.353550 0.00149576i
\(185\) −0.0384553 1.30393i −0.00282729 0.0958670i
\(186\) −3.49016 + 4.02786i −0.255911 + 0.295337i
\(187\) −1.59477 0.346921i −0.116621 0.0253693i
\(188\) −1.12012 0.838511i −0.0816931 0.0611547i
\(189\) −1.78389 3.90618i −0.129759 0.284133i
\(190\) −0.387314 + 3.40334i −0.0280987 + 0.246904i
\(191\) −0.0241154 0.0821296i −0.00174493 0.00594269i 0.958616 0.284703i \(-0.0918948\pi\)
−0.960361 + 0.278760i \(0.910077\pi\)
\(192\) −0.212565 0.977147i −0.0153406 0.0705195i
\(193\) −7.68643 20.6081i −0.553282 1.48341i −0.849137 0.528173i \(-0.822877\pi\)
0.295855 0.955233i \(-0.404395\pi\)
\(194\) −13.5902 3.99045i −0.975720 0.286497i
\(195\) −0.0957458 + 2.28286i −0.00685650 + 0.163479i
\(196\) −7.49194 8.64616i −0.535138 0.617583i
\(197\) 11.7820 + 21.5771i 0.839432 + 1.53731i 0.843383 + 0.537313i \(0.180561\pi\)
−0.00395021 + 0.999992i \(0.501257\pi\)
\(198\) 3.28086 1.22370i 0.233160 0.0869643i
\(199\) 13.6796 + 8.79136i 0.969723 + 0.623203i 0.926672 0.375870i \(-0.122656\pi\)
0.0430505 + 0.999073i \(0.486292\pi\)
\(200\) −4.52198 2.13346i −0.319753 0.150859i
\(201\) 11.7320 + 1.68681i 0.827511 + 0.118978i
\(202\) 6.92710 18.5723i 0.487389 1.30674i
\(203\) −20.0303 + 26.7574i −1.40585 + 1.87800i
\(204\) −0.392097 + 0.251986i −0.0274523 + 0.0176425i
\(205\) 1.97636 + 19.5241i 0.138035 + 1.36362i
\(206\) 4.72054i 0.328895i
\(207\) −3.82707 2.89025i −0.266000 0.200886i
\(208\) 0.722539 0.722539i 0.0500991 0.0500991i
\(209\) 4.05381 + 3.51265i 0.280408 + 0.242975i
\(210\) 5.42722 + 7.92135i 0.374514 + 0.546625i
\(211\) −0.0604568 0.420486i −0.00416201 0.0289474i 0.987635 0.156773i \(-0.0501092\pi\)
−0.991797 + 0.127826i \(0.959200\pi\)
\(212\) 10.6271 + 3.96372i 0.729876 + 0.272230i
\(213\) −8.81563 11.7763i −0.604037 0.806899i
\(214\) −8.41813 + 2.47178i −0.575451 + 0.168968i
\(215\) −5.72508 3.44514i −0.390447 0.234957i
\(216\) 0.415415 0.909632i 0.0282654 0.0618926i
\(217\) −20.0872 + 10.9684i −1.36361 + 0.744585i
\(218\) 0.471761 6.59608i 0.0319517 0.446743i
\(219\) −2.38207 + 2.06407i −0.160965 + 0.139477i
\(220\) −6.75853 + 3.95342i −0.455660 + 0.266540i
\(221\) −0.433220 0.197845i −0.0291416 0.0133085i
\(222\) −0.570058 + 0.124008i −0.0382598 + 0.00832290i
\(223\) 4.05731 7.43040i 0.271697 0.497577i −0.705831 0.708380i \(-0.749426\pi\)
0.977528 + 0.210804i \(0.0676080\pi\)
\(224\) 0.611134 4.25053i 0.0408331 0.284001i
\(225\) −2.34150 4.41785i −0.156100 0.294523i
\(226\) 17.1221 2.46179i 1.13895 0.163756i
\(227\) 1.05135 4.83296i 0.0697803 0.320775i −0.929004 0.370070i \(-0.879334\pi\)
0.998784 + 0.0492948i \(0.0156974\pi\)
\(228\) 1.52794 0.109281i 0.101190 0.00723728i
\(229\) 17.0077 1.12390 0.561949 0.827172i \(-0.310052\pi\)
0.561949 + 0.827172i \(0.310052\pi\)
\(230\) 9.53883 + 4.90008i 0.628972 + 0.323102i
\(231\) 15.0369 0.989353
\(232\) −7.76365 + 0.555267i −0.509709 + 0.0364551i
\(233\) 5.15653 23.7042i 0.337815 1.55291i −0.424331 0.905507i \(-0.639491\pi\)
0.762146 0.647405i \(-0.224146\pi\)
\(234\) 1.01142 0.145421i 0.0661188 0.00950645i
\(235\) 1.38305 + 2.80642i 0.0902199 + 0.183071i
\(236\) −0.103793 + 0.721899i −0.00675637 + 0.0469916i
\(237\) 4.06737 7.44884i 0.264204 0.483854i
\(238\) −1.95575 + 0.425447i −0.126772 + 0.0275776i
\(239\) −21.6988 9.90953i −1.40358 0.640994i −0.437497 0.899220i \(-0.644135\pi\)
−0.966085 + 0.258226i \(0.916862\pi\)
\(240\) −0.566452 + 2.16313i −0.0365643 + 0.139629i
\(241\) −20.0686 + 17.3895i −1.29273 + 1.12016i −0.307022 + 0.951702i \(0.599333\pi\)
−0.985709 + 0.168456i \(0.946122\pi\)
\(242\) −0.0899904 + 1.25823i −0.00578480 + 0.0808821i
\(243\) 0.877679 0.479249i 0.0563031 0.0307438i
\(244\) 2.39446 5.24314i 0.153290 0.335658i
\(245\) 6.17232 + 24.8260i 0.394335 + 1.58607i
\(246\) 8.42056 2.47250i 0.536876 0.157641i
\(247\) 0.938036 + 1.25307i 0.0596858 + 0.0797309i
\(248\) −4.99359 1.86251i −0.317093 0.118270i
\(249\) 1.39657 + 9.71338i 0.0885042 + 0.615560i
\(250\) 6.85175 + 8.83479i 0.433343 + 0.558761i
\(251\) −12.3253 10.6799i −0.777964 0.674110i 0.172477 0.985014i \(-0.444823\pi\)
−0.950441 + 0.310904i \(0.899368\pi\)
\(252\) 3.03649 3.03649i 0.191281 0.191281i
\(253\) 14.7730 7.98572i 0.928770 0.502058i
\(254\) 12.1581i 0.762868i
\(255\) 1.03690 0.104962i 0.0649334 0.00657299i
\(256\) 0.841254 0.540641i 0.0525783 0.0337901i
\(257\) −2.87727 + 3.84358i −0.179479 + 0.239756i −0.881254 0.472643i \(-0.843300\pi\)
0.701775 + 0.712398i \(0.252391\pi\)
\(258\) −1.04426 + 2.79976i −0.0650125 + 0.174305i
\(259\) −2.47972 0.356529i −0.154082 0.0221537i
\(260\) −2.17239 + 0.708070i −0.134726 + 0.0439126i
\(261\) −6.54788 4.20807i −0.405304 0.260473i
\(262\) 1.87666 0.699958i 0.115941 0.0432436i
\(263\) −0.425214 0.778721i −0.0262198 0.0480180i 0.864241 0.503079i \(-0.167799\pi\)
−0.890460 + 0.455061i \(0.849618\pi\)
\(264\) 2.29308 + 2.64636i 0.141129 + 0.162872i
\(265\) −17.1665 18.6695i −1.05453 1.14686i
\(266\) 6.31165 + 1.85327i 0.386992 + 0.113631i
\(267\) −0.768884 2.06146i −0.0470549 0.126159i
\(268\) 2.51946 + 11.5818i 0.153900 + 0.707469i
\(269\) 1.30709 + 4.45155i 0.0796948 + 0.271416i 0.989695 0.143193i \(-0.0457368\pi\)
−0.910000 + 0.414608i \(0.863919\pi\)
\(270\) −1.74978 + 1.39221i −0.106488 + 0.0847274i
\(271\) 0.660947 + 1.44727i 0.0401496 + 0.0879155i 0.928644 0.370972i \(-0.120975\pi\)
−0.888494 + 0.458887i \(0.848248\pi\)
\(272\) −0.373122 0.279315i −0.0226238 0.0169360i
\(273\) 4.28768 + 0.932728i 0.259502 + 0.0564513i
\(274\) 13.2506 15.2921i 0.800501 0.923827i
\(275\) 17.4777 1.03180i 1.05395 0.0622198i
\(276\) 1.37060 4.59581i 0.0825003 0.276635i
\(277\) −12.3269 12.3269i −0.740654 0.740654i 0.232050 0.972704i \(-0.425457\pi\)
−0.972704 + 0.232050i \(0.925457\pi\)
\(278\) −0.226648 3.16895i −0.0135934 0.190061i
\(279\) −2.88141 4.48357i −0.172506 0.268424i
\(280\) −5.52529 + 7.85326i −0.330199 + 0.469322i
\(281\) 0.989054 0.451686i 0.0590020 0.0269453i −0.385695 0.922626i \(-0.626038\pi\)
0.444697 + 0.895681i \(0.353311\pi\)
\(282\) 1.12012 0.838511i 0.0667021 0.0499326i
\(283\) 14.8622 + 8.11537i 0.883466 + 0.482409i 0.855858 0.517210i \(-0.173029\pi\)
0.0276072 + 0.999619i \(0.491211\pi\)
\(284\) 7.95305 12.3752i 0.471927 0.734333i
\(285\) −3.15636 1.33046i −0.186967 0.0788095i
\(286\) −1.00805 + 3.43312i −0.0596075 + 0.203005i
\(287\) 37.5905 + 2.68852i 2.21890 + 0.158699i
\(288\) 0.997452 + 0.0713392i 0.0587754 + 0.00420370i
\(289\) 4.72825 16.1029i 0.278132 0.947232i
\(290\) 16.0378 + 6.76021i 0.941775 + 0.396973i
\(291\) 7.65761 11.9155i 0.448897 0.698497i
\(292\) −2.76638 1.51056i −0.161890 0.0883986i
\(293\) −9.32593 + 6.98130i −0.544827 + 0.407852i −0.835927 0.548840i \(-0.815069\pi\)
0.291101 + 0.956692i \(0.405979\pi\)
\(294\) 10.4066 4.75256i 0.606928 0.277175i
\(295\) 0.938400 1.33378i 0.0546357 0.0776555i
\(296\) −0.315404 0.490779i −0.0183325 0.0285259i
\(297\) 0.249804 + 3.49271i 0.0144951 + 0.202668i
\(298\) 8.77335 + 8.77335i 0.508226 + 0.508226i
\(299\) 4.70779 1.36072i 0.272259 0.0786928i
\(300\) 3.32103 3.73775i 0.191740 0.215799i
\(301\) −8.40310 + 9.69769i −0.484346 + 0.558966i
\(302\) −12.9101 2.80841i −0.742891 0.161606i
\(303\) 15.8684 + 11.8789i 0.911615 + 0.682426i
\(304\) 0.636352 + 1.39342i 0.0364973 + 0.0799179i
\(305\) −10.0858 + 8.02475i −0.577511 + 0.459496i
\(306\) −0.131312 0.447207i −0.00750660 0.0255651i
\(307\) −6.95721 31.9818i −0.397069 1.82530i −0.547660 0.836701i \(-0.684481\pi\)
0.150591 0.988596i \(-0.451882\pi\)
\(308\) 5.25484 + 14.0888i 0.299423 + 0.802783i
\(309\) −4.52932 1.32993i −0.257664 0.0756570i
\(310\) 8.06636 + 8.77260i 0.458138 + 0.498250i
\(311\) 22.1693 + 25.5847i 1.25710 + 1.45077i 0.840615 + 0.541633i \(0.182194\pi\)
0.416488 + 0.909141i \(0.363261\pi\)
\(312\) 0.489708 + 0.896834i 0.0277243 + 0.0507732i
\(313\) 11.2309 4.18891i 0.634809 0.236771i −0.0113966 0.999935i \(-0.503628\pi\)
0.646205 + 0.763164i \(0.276355\pi\)
\(314\) −5.65775 3.63602i −0.319286 0.205192i
\(315\) −9.12951 + 2.97568i −0.514389 + 0.167660i
\(316\) 8.40059 + 1.20782i 0.472570 + 0.0679453i
\(317\) 4.02163 10.7824i 0.225877 0.605600i −0.773733 0.633512i \(-0.781613\pi\)
0.999610 + 0.0279114i \(0.00888562\pi\)
\(318\) −6.79718 + 9.07997i −0.381167 + 0.509179i
\(319\) 22.9283 14.7351i 1.28374 0.825008i
\(320\) −2.22470 + 0.225199i −0.124364 + 0.0125890i
\(321\) 8.77351i 0.489690i
\(322\) 12.4114 16.4343i 0.691662 0.915851i
\(323\) 0.504855 0.504855i 0.0280909 0.0280909i
\(324\) 0.755750 + 0.654861i 0.0419861 + 0.0363812i
\(325\) 5.04769 + 0.789923i 0.279995 + 0.0438170i
\(326\) 0.184101 + 1.28045i 0.0101964 + 0.0709177i
\(327\) 6.19598 + 2.31098i 0.342639 + 0.127798i
\(328\) 5.25929 + 7.02560i 0.290396 + 0.387924i
\(329\) 5.76512 1.69279i 0.317842 0.0933267i
\(330\) −1.88918 7.59857i −0.103996 0.418287i
\(331\) 2.85749 6.25704i 0.157062 0.343918i −0.814699 0.579884i \(-0.803098\pi\)
0.971761 + 0.235966i \(0.0758253\pi\)
\(332\) −8.61289 + 4.70300i −0.472694 + 0.258110i
\(333\) 0.0416186 0.581903i 0.00228068 0.0318881i
\(334\) −1.36686 + 1.18439i −0.0747915 + 0.0648072i
\(335\) 6.71395 25.6388i 0.366822 1.40080i
\(336\) 3.90618 + 1.78389i 0.213100 + 0.0973193i
\(337\) −20.8025 + 4.52532i −1.13319 + 0.246510i −0.739776 0.672853i \(-0.765069\pi\)
−0.393411 + 0.919363i \(0.628705\pi\)
\(338\) 5.72984 10.4934i 0.311662 0.570767i
\(339\) −2.46179 + 17.1221i −0.133706 + 0.929945i
\(340\) 0.460705 + 0.934845i 0.0249852 + 0.0506991i
\(341\) 18.4724 2.65594i 1.00034 0.143827i
\(342\) −0.325617 + 1.49684i −0.0176074 + 0.0809397i
\(343\) 19.0200 1.36034i 1.02698 0.0734514i
\(344\) −2.98816 −0.161111
\(345\) −7.38899 + 7.77192i −0.397810 + 0.418426i
\(346\) 9.75247 0.524296
\(347\) 27.2204 1.94684i 1.46127 0.104512i 0.682067 0.731290i \(-0.261081\pi\)
0.779198 + 0.626778i \(0.215627\pi\)
\(348\) 1.65450 7.60561i 0.0886904 0.407703i
\(349\) 0.0222219 0.00319503i 0.00118951 0.000171026i −0.141720 0.989907i \(-0.545263\pi\)
0.142910 + 0.989736i \(0.454354\pi\)
\(350\) 18.9713 10.0550i 1.01406 0.537460i
\(351\) −0.145421 + 1.01142i −0.00776199 + 0.0539858i
\(352\) −1.67815 + 3.07331i −0.0894460 + 0.163808i
\(353\) 8.13441 1.76953i 0.432951 0.0941828i 0.00919220 0.999958i \(-0.497074\pi\)
0.423759 + 0.905775i \(0.360710\pi\)
\(354\) −0.663415 0.302971i −0.0352601 0.0161027i
\(355\) −28.3927 + 16.6084i −1.50693 + 0.881481i
\(356\) 1.66278 1.44081i 0.0881274 0.0763628i
\(357\) 0.142785 1.99639i 0.00755696 0.105660i
\(358\) −17.2779 + 9.43443i −0.913164 + 0.498625i
\(359\) −5.55506 + 12.1639i −0.293185 + 0.641985i −0.997706 0.0676982i \(-0.978435\pi\)
0.704521 + 0.709683i \(0.251162\pi\)
\(360\) −1.91592 1.15293i −0.100978 0.0607648i
\(361\) 15.9789 4.69182i 0.840993 0.246938i
\(362\) 1.44104 + 1.92500i 0.0757393 + 0.101176i
\(363\) −1.18191 0.440830i −0.0620342 0.0231376i
\(364\) 0.624472 + 4.34330i 0.0327312 + 0.227651i
\(365\) 3.98352 + 5.81418i 0.208507 + 0.304328i
\(366\) 4.35616 + 3.77463i 0.227700 + 0.197303i
\(367\) 11.7369 11.7369i 0.612661 0.612661i −0.330978 0.943639i \(-0.607378\pi\)
0.943639 + 0.330978i \(0.107378\pi\)
\(368\) 4.78502 0.321890i 0.249436 0.0167797i
\(369\) 8.77606i 0.456863i
\(370\) 0.131379 + 1.29787i 0.00683006 + 0.0674729i
\(371\) −40.9745 + 26.3327i −2.12729 + 1.36713i
\(372\) 3.19393 4.26659i 0.165597 0.221212i
\(373\) −9.78748 + 26.2412i −0.506776 + 1.35872i 0.391860 + 0.920025i \(0.371832\pi\)
−0.898636 + 0.438695i \(0.855441\pi\)
\(374\) 1.61545 + 0.232267i 0.0835331 + 0.0120102i
\(375\) −10.4073 + 4.08516i −0.537430 + 0.210957i
\(376\) 1.17708 + 0.756466i 0.0607035 + 0.0390117i
\(377\) 7.45189 2.77941i 0.383792 0.143147i
\(378\) 2.05801 + 3.76897i 0.105853 + 0.193855i
\(379\) 12.4163 + 14.3291i 0.637781 + 0.736038i 0.978981 0.203952i \(-0.0653788\pi\)
−0.341200 + 0.939991i \(0.610833\pi\)
\(380\) 0.143535 3.42230i 0.00736320 0.175560i
\(381\) −11.6656 3.42534i −0.597648 0.175485i
\(382\) 0.0299130 + 0.0802000i 0.00153048 + 0.00410339i
\(383\) 4.35968 + 20.0411i 0.222769 + 1.02405i 0.943637 + 0.330982i \(0.107380\pi\)
−0.720868 + 0.693073i \(0.756256\pi\)
\(384\) 0.281733 + 0.959493i 0.0143771 + 0.0489639i
\(385\) 3.80194 33.4078i 0.193765 1.70262i
\(386\) 9.13702 + 20.0073i 0.465062 + 1.01834i
\(387\) −2.39215 1.79074i −0.121600 0.0910283i
\(388\) 13.8403 + 3.01076i 0.702633 + 0.152848i
\(389\) −9.85952 + 11.3785i −0.499897 + 0.576912i −0.948483 0.316827i \(-0.897382\pi\)
0.448586 + 0.893740i \(0.351928\pi\)
\(390\) −0.0673557 2.28388i −0.00341069 0.115649i
\(391\) −0.919956 2.03719i −0.0465242 0.103025i
\(392\) 8.08966 + 8.08966i 0.408589 + 0.408589i
\(393\) 0.142889 + 1.99784i 0.00720778 + 0.100778i
\(394\) −13.2913 20.6816i −0.669604 1.04192i
\(395\) −15.5209 10.9200i −0.780941 0.549443i
\(396\) −3.18520 + 1.45463i −0.160062 + 0.0730980i
\(397\) −12.2385 + 9.16160i −0.614231 + 0.459808i −0.860539 0.509384i \(-0.829873\pi\)
0.246308 + 0.969192i \(0.420782\pi\)
\(398\) −14.2719 7.79307i −0.715388 0.390631i
\(399\) −3.55640 + 5.53386i −0.178042 + 0.277040i
\(400\) 4.66266 + 1.80543i 0.233133 + 0.0902716i
\(401\) −6.20905 + 21.1461i −0.310065 + 1.05599i 0.646123 + 0.763233i \(0.276389\pi\)
−0.956188 + 0.292752i \(0.905429\pi\)
\(402\) −11.8224 0.845557i −0.589649 0.0421725i
\(403\) 5.43207 + 0.388509i 0.270591 + 0.0193530i
\(404\) −5.58452 + 19.0191i −0.277840 + 0.946238i
\(405\) −0.842847 2.07114i −0.0418814 0.102916i
\(406\) 18.0705 28.1182i 0.896822 1.39548i
\(407\) 1.79294 + 0.979018i 0.0888727 + 0.0485281i
\(408\) 0.373122 0.279315i 0.0184723 0.0138282i
\(409\) 22.3803 10.2208i 1.10664 0.505384i 0.223596 0.974682i \(-0.428220\pi\)
0.883040 + 0.469298i \(0.155493\pi\)
\(410\) −3.36416 19.3333i −0.166144 0.954806i
\(411\) 10.9395 + 17.0222i 0.539605 + 0.839642i
\(412\) −0.336759 4.70851i −0.0165909 0.231972i
\(413\) −2.21458 2.21458i −0.108972 0.108972i
\(414\) 4.02350 + 2.60987i 0.197744 + 0.128268i
\(415\) 21.9336 0.646861i 1.07668 0.0317532i
\(416\) −0.669153 + 0.772243i −0.0328079 + 0.0378623i
\(417\) 3.10444 + 0.675330i 0.152025 + 0.0330711i
\(418\) −4.29407 3.21450i −0.210030 0.157226i
\(419\) 3.51016 + 7.68619i 0.171483 + 0.375495i 0.975787 0.218723i \(-0.0701891\pi\)
−0.804304 + 0.594218i \(0.797462\pi\)
\(420\) −5.97850 7.51399i −0.291721 0.366645i
\(421\) −10.5814 36.0371i −0.515708 1.75634i −0.644435 0.764659i \(-0.722908\pi\)
0.128728 0.991680i \(-0.458911\pi\)
\(422\) 0.0902998 + 0.415102i 0.00439573 + 0.0202068i
\(423\) 0.488971 + 1.31098i 0.0237746 + 0.0637421i
\(424\) −10.8828 3.19549i −0.528518 0.155187i
\(425\) 0.0289742 2.33025i 0.00140546 0.113034i
\(426\) 9.63328 + 11.1174i 0.466734 + 0.538639i
\(427\) 11.8624 + 21.7244i 0.574063 + 1.05132i
\(428\) 8.22034 3.06603i 0.397345 0.148202i
\(429\) −3.01005 1.93444i −0.145327 0.0933958i
\(430\) 5.95626 + 3.02794i 0.287237 + 0.146020i
\(431\) −30.0560 4.32140i −1.44775 0.208155i −0.626809 0.779173i \(-0.715640\pi\)
−0.820938 + 0.571018i \(0.806549\pi\)
\(432\) −0.349464 + 0.936950i −0.0168136 + 0.0450790i
\(433\) 5.95973 7.96127i 0.286407 0.382594i −0.634146 0.773213i \(-0.718648\pi\)
0.920552 + 0.390619i \(0.127739\pi\)
\(434\) 19.2535 12.3735i 0.924199 0.593946i
\(435\) −11.0048 + 13.4836i −0.527638 + 0.646491i
\(436\) 6.61293i 0.316702i
\(437\) −0.555088 + 7.32547i −0.0265534 + 0.350425i
\(438\) 2.22875 2.22875i 0.106494 0.106494i
\(439\) 2.35093 + 2.03709i 0.112204 + 0.0972250i 0.709156 0.705052i \(-0.249076\pi\)
−0.596952 + 0.802277i \(0.703622\pi\)
\(440\) 6.45927 4.42550i 0.307934 0.210977i
\(441\) 1.62815 + 11.3241i 0.0775311 + 0.539241i
\(442\) 0.446231 + 0.166435i 0.0212250 + 0.00791653i
\(443\) 13.0405 + 17.4201i 0.619575 + 0.827656i 0.995071 0.0991687i \(-0.0316184\pi\)
−0.375495 + 0.926824i \(0.622527\pi\)
\(444\) 0.559758 0.164360i 0.0265650 0.00780018i
\(445\) −4.77440 + 1.18703i −0.226328 + 0.0562705i
\(446\) −3.51689 + 7.70092i −0.166530 + 0.364649i
\(447\) −10.8897 + 5.94623i −0.515065 + 0.281247i
\(448\) −0.306348 + 4.28330i −0.0144736 + 0.202367i
\(449\) −9.15725 + 7.93480i −0.432157 + 0.374466i −0.843603 0.536968i \(-0.819570\pi\)
0.411445 + 0.911434i \(0.365024\pi\)
\(450\) 2.65070 + 4.23955i 0.124955 + 0.199854i
\(451\) −27.9535 12.7659i −1.31628 0.601124i
\(452\) −16.9029 + 3.67699i −0.795043 + 0.172951i
\(453\) 6.33184 11.5959i 0.297496 0.544823i
\(454\) −0.703888 + 4.89565i −0.0330351 + 0.229764i
\(455\) 3.15637 9.29023i 0.147973 0.435533i
\(456\) −1.51625 + 0.218004i −0.0710051 + 0.0102090i
\(457\) 5.74776 26.4220i 0.268869 1.23597i −0.622474 0.782641i \(-0.713872\pi\)
0.891343 0.453330i \(-0.149764\pi\)
\(458\) −16.9643 + 1.21331i −0.792692 + 0.0566944i
\(459\) 0.466087 0.0217551
\(460\) −9.86409 4.20710i −0.459916 0.196157i
\(461\) −24.6984 −1.15032 −0.575160 0.818041i \(-0.695060\pi\)
−0.575160 + 0.818041i \(0.695060\pi\)
\(462\) −14.9985 + 1.07272i −0.697796 + 0.0499073i
\(463\) 4.24089 19.4951i 0.197091 0.906012i −0.767250 0.641348i \(-0.778375\pi\)
0.964341 0.264664i \(-0.0852610\pi\)
\(464\) 7.70426 1.10771i 0.357661 0.0514239i
\(465\) −10.6898 + 5.26808i −0.495728 + 0.244302i
\(466\) −3.45235 + 24.0116i −0.159927 + 1.11232i
\(467\) 13.5841 24.8775i 0.628598 1.15119i −0.348279 0.937391i \(-0.613234\pi\)
0.976877 0.213801i \(-0.0685843\pi\)
\(468\) −0.998473 + 0.217204i −0.0461544 + 0.0100403i
\(469\) −46.2985 21.1438i −2.13787 0.976331i
\(470\) −1.57973 2.70061i −0.0728675 0.124570i
\(471\) 5.08271 4.40419i 0.234199 0.202934i
\(472\) 0.0520292 0.727464i 0.00239484 0.0334842i
\(473\) 9.18355 5.01460i 0.422260 0.230571i
\(474\) −3.52562 + 7.72002i −0.161937 + 0.354592i
\(475\) −3.75397 + 6.67618i −0.172244 + 0.306324i
\(476\) 1.92041 0.563885i 0.0880221 0.0258456i
\(477\) −6.79718 9.07997i −0.311221 0.415743i
\(478\) 22.3505 + 8.33630i 1.02229 + 0.381294i
\(479\) −0.0829013 0.576591i −0.00378786 0.0263451i 0.987840 0.155475i \(-0.0496907\pi\)
−0.991628 + 0.129130i \(0.958782\pi\)
\(480\) 0.410693 2.19803i 0.0187455 0.100326i
\(481\) 0.450519 + 0.390377i 0.0205419 + 0.0177997i
\(482\) 18.7769 18.7769i 0.855264 0.855264i
\(483\) 12.2719 + 16.5388i 0.558392 + 0.752540i
\(484\) 1.26144i 0.0573384i
\(485\) −24.5368 20.0258i −1.11416 0.909326i
\(486\) −0.841254 + 0.540641i −0.0381600 + 0.0245240i
\(487\) 20.1871 26.9669i 0.914767 1.22199i −0.0598731 0.998206i \(-0.519070\pi\)
0.974640 0.223779i \(-0.0718395\pi\)
\(488\) −2.01432 + 5.40060i −0.0911840 + 0.244474i
\(489\) −1.28045 0.184101i −0.0579040 0.00832535i
\(490\) −7.92766 24.3224i −0.358135 1.09877i
\(491\) 10.6704 + 6.85744i 0.481548 + 0.309472i 0.758798 0.651326i \(-0.225787\pi\)
−0.277250 + 0.960798i \(0.589423\pi\)
\(492\) −8.22272 + 3.06692i −0.370709 + 0.138267i
\(493\) −1.73861 3.18402i −0.0783030 0.143401i
\(494\) −1.02504 1.18296i −0.0461187 0.0532238i
\(495\) 7.82302 + 0.328106i 0.351618 + 0.0147473i
\(496\) 5.11374 + 1.50153i 0.229614 + 0.0674207i
\(497\) 22.0757 + 59.1872i 0.990230 + 2.65491i
\(498\) −2.08596 9.58900i −0.0934740 0.429693i
\(499\) 1.86240 + 6.34274i 0.0833723 + 0.283940i 0.990618 0.136661i \(-0.0436373\pi\)
−0.907246 + 0.420601i \(0.861819\pi\)
\(500\) −7.46456 8.32348i −0.333825 0.372237i
\(501\) −0.751328 1.64518i −0.0335669 0.0735012i
\(502\) 13.0558 + 9.77342i 0.582707 + 0.436209i
\(503\) −25.4152 5.52875i −1.13321 0.246515i −0.393424 0.919357i \(-0.628710\pi\)
−0.739786 + 0.672842i \(0.765073\pi\)
\(504\) −2.81213 + 3.24537i −0.125262 + 0.144560i
\(505\) 30.4039 32.2517i 1.35296 1.43518i
\(506\) −14.1657 + 9.01927i −0.629741 + 0.400955i
\(507\) 8.45408 + 8.45408i 0.375459 + 0.375459i
\(508\) −0.867350 12.1271i −0.0384824 0.538055i
\(509\) −13.9127 21.6486i −0.616671 0.959559i −0.999363 0.0356827i \(-0.988639\pi\)
0.382692 0.923876i \(-0.374997\pi\)
\(510\) −1.02677 + 0.178667i −0.0454663 + 0.00791149i
\(511\) 12.3120 5.62269i 0.544650 0.248733i
\(512\) −0.800541 + 0.599278i −0.0353793 + 0.0264846i
\(513\) −1.34447 0.734135i −0.0593597 0.0324129i
\(514\) 2.59574 4.03905i 0.114493 0.178155i
\(515\) −4.09994 + 9.72666i −0.180665 + 0.428608i
\(516\) 0.841862 2.86712i 0.0370609 0.126218i
\(517\) −4.88701 0.349526i −0.214930 0.0153721i
\(518\) 2.49883 + 0.178720i 0.109792 + 0.00785251i
\(519\) −2.74759 + 9.35743i −0.120606 + 0.410745i
\(520\) 2.11634 0.861242i 0.0928076 0.0377679i
\(521\) 22.9511 35.7126i 1.00551 1.56460i 0.193373 0.981125i \(-0.438057\pi\)
0.812133 0.583473i \(-0.198306\pi\)
\(522\) 6.83140 + 3.73023i 0.299002 + 0.163268i
\(523\) 32.1110 24.0380i 1.40412 1.05111i 0.414089 0.910237i \(-0.364100\pi\)
0.990028 0.140872i \(-0.0449906\pi\)
\(524\) −1.82194 + 0.832054i −0.0795920 + 0.0363485i
\(525\) 4.30283 + 21.0356i 0.187791 + 0.918071i
\(526\) 0.479684 + 0.746403i 0.0209152 + 0.0325447i
\(527\) −0.177211 2.47774i −0.00771945 0.107932i
\(528\) −2.47603 2.47603i −0.107755 0.107755i
\(529\) 20.8399 + 9.73123i 0.906085 + 0.423097i
\(530\) 18.4546 + 17.3973i 0.801617 + 0.755689i
\(531\) 0.477604 0.551185i 0.0207263 0.0239194i
\(532\) −6.42778 1.39828i −0.278680 0.0606231i
\(533\) −7.17893 5.37408i −0.310954 0.232777i
\(534\) 0.913987 + 2.00135i 0.0395521 + 0.0866070i
\(535\) −19.4924 2.21831i −0.842728 0.0959057i
\(536\) −3.33927 11.3725i −0.144235 0.491218i
\(537\) −4.18453 19.2360i −0.180576 0.830094i
\(538\) −1.62133 4.34696i −0.0699005 0.187411i
\(539\) −38.4377 11.2863i −1.65563 0.486137i
\(540\) 1.64601 1.51349i 0.0708328 0.0651304i
\(541\) −0.709833 0.819190i −0.0305181 0.0352197i 0.740285 0.672293i \(-0.234690\pi\)
−0.770803 + 0.637073i \(0.780145\pi\)
\(542\) −0.762510 1.39643i −0.0327526 0.0599819i
\(543\) −2.25301 + 0.840330i −0.0966860 + 0.0360620i
\(544\) 0.392097 + 0.251986i 0.0168110 + 0.0108038i
\(545\) 6.70097 13.1815i 0.287038 0.564632i
\(546\) −4.34330 0.624472i −0.185876 0.0267249i
\(547\) −8.46613 + 22.6986i −0.361986 + 0.970521i 0.620504 + 0.784203i \(0.286928\pi\)
−0.982490 + 0.186318i \(0.940345\pi\)
\(548\) −12.1260 + 16.1984i −0.517996 + 0.691961i
\(549\) −4.84901 + 3.11627i −0.206951 + 0.132999i
\(550\) −17.3596 + 2.27602i −0.740216 + 0.0970497i
\(551\) 11.9231i 0.507941i
\(552\) −1.03924 + 4.68188i −0.0442332 + 0.199274i
\(553\) −25.7706 + 25.7706i −1.09588 + 1.09588i
\(554\) 13.1749 + 11.4161i 0.559749 + 0.485025i
\(555\) −1.28231 0.239594i −0.0544309 0.0101702i
\(556\) 0.452141 + 3.14471i 0.0191751 + 0.133365i
\(557\) 8.04781 + 3.00168i 0.340997 + 0.127185i 0.514128 0.857714i \(-0.328116\pi\)
−0.173131 + 0.984899i \(0.555388\pi\)
\(558\) 3.19393 + 4.26659i 0.135210 + 0.180619i
\(559\) 2.92969 0.860235i 0.123913 0.0363841i
\(560\) 4.95096 8.22742i 0.209216 0.347672i
\(561\) −0.677985 + 1.48458i −0.0286245 + 0.0626790i
\(562\) −0.954311 + 0.521093i −0.0402552 + 0.0219810i
\(563\) 0.805941 11.2685i 0.0339664 0.474912i −0.951792 0.306744i \(-0.900760\pi\)
0.985758 0.168168i \(-0.0537850\pi\)
\(564\) −1.05745 + 0.916282i −0.0445265 + 0.0385825i
\(565\) 37.4182 + 9.79859i 1.57420 + 0.412230i
\(566\) −15.4033 7.03444i −0.647448 0.295679i
\(567\) −4.19610 + 0.912807i −0.176220 + 0.0383343i
\(568\) −7.04995 + 12.9110i −0.295809 + 0.541735i
\(569\) 1.18613 8.24969i 0.0497250 0.345845i −0.949737 0.313049i \(-0.898650\pi\)
0.999462 0.0327962i \(-0.0104412\pi\)
\(570\) 3.24324 + 1.10189i 0.135844 + 0.0461533i
\(571\) −34.7345 + 4.99406i −1.45359 + 0.208995i −0.823407 0.567451i \(-0.807930\pi\)
−0.630184 + 0.776446i \(0.717021\pi\)
\(572\) 0.760570 3.49629i 0.0318010 0.146187i
\(573\) −0.0853788 + 0.00610641i −0.00356675 + 0.000255099i
\(574\) −37.6865 −1.57300
\(575\) 15.3989 + 18.3814i 0.642177 + 0.766557i
\(576\) −1.00000 −0.0416667
\(577\) −47.4243 + 3.39185i −1.97430 + 0.141205i −0.997376 0.0723927i \(-0.976937\pi\)
−0.976922 + 0.213597i \(0.931482\pi\)
\(578\) −3.56743 + 16.3992i −0.148386 + 0.682118i
\(579\) −21.7710 + 3.13020i −0.904773 + 0.130087i
\(580\) −16.4793 5.59885i −0.684264 0.232480i
\(581\) 5.99722 41.7116i 0.248807 1.73049i
\(582\) −6.78806 + 12.4314i −0.281374 + 0.515298i
\(583\) 38.8089 8.44236i 1.60730 0.349647i
\(584\) 2.86709 + 1.30936i 0.118641 + 0.0541816i
\(585\) 2.21034 + 0.578815i 0.0913863 + 0.0239311i
\(586\) 8.80413 7.62882i 0.363695 0.315144i
\(587\) 2.82476 39.4954i 0.116591 1.63015i −0.516652 0.856195i \(-0.672822\pi\)
0.633243 0.773953i \(-0.281723\pi\)
\(588\) −10.0411 + 5.48285i −0.414088 + 0.226109i
\(589\) −3.39152 + 7.42638i −0.139745 + 0.305999i
\(590\) −0.840858 + 1.39732i −0.0346176 + 0.0575269i
\(591\) 23.5885 6.92619i 0.970299 0.284906i
\(592\) 0.349612 + 0.467028i 0.0143690 + 0.0191947i
\(593\) −13.5547 5.05562i −0.556623 0.207610i 0.0553797 0.998465i \(-0.482363\pi\)
−0.612003 + 0.790856i \(0.709636\pi\)
\(594\) −0.498335 3.46599i −0.0204469 0.142211i
\(595\) −4.39933 0.821998i −0.180355 0.0336986i
\(596\) −9.37688 8.12511i −0.384092 0.332818i
\(597\) 11.4983 11.4983i 0.470593 0.470593i
\(598\) −4.59872 + 1.69311i −0.188056 + 0.0692363i
\(599\) 4.80779i 0.196441i −0.995165 0.0982204i \(-0.968685\pi\)
0.995165 0.0982204i \(-0.0313150\pi\)
\(600\) −3.04592 + 3.96514i −0.124349 + 0.161876i
\(601\) −23.1937 + 14.9057i −0.946089 + 0.608015i −0.920115 0.391648i \(-0.871905\pi\)
−0.0259743 + 0.999663i \(0.508269\pi\)
\(602\) 7.68986 10.2725i 0.313415 0.418674i
\(603\) 4.14207 11.1053i 0.168678 0.452244i
\(604\) 13.0775 + 1.88026i 0.532117 + 0.0765069i
\(605\) −1.27824 + 2.51442i −0.0519678 + 0.102226i
\(606\) −16.6754 10.7166i −0.677391 0.435333i
\(607\) −21.2399 + 7.92208i −0.862102 + 0.321547i −0.741336 0.671134i \(-0.765808\pi\)
−0.120766 + 0.992681i \(0.538535\pi\)
\(608\) −0.734135 1.34447i −0.0297731 0.0545254i
\(609\) 21.8882 + 25.2603i 0.886953 + 1.02360i
\(610\) 9.48762 8.72382i 0.384143 0.353217i
\(611\) −1.37182 0.402804i −0.0554981 0.0162957i
\(612\) 0.162881 + 0.436700i 0.00658406 + 0.0176525i
\(613\) 1.43310 + 6.58784i 0.0578823 + 0.266080i 0.996989 0.0775457i \(-0.0247084\pi\)
−0.939107 + 0.343626i \(0.888345\pi\)
\(614\) 9.22104 + 31.4040i 0.372131 + 1.26736i
\(615\) 19.4980 + 2.21895i 0.786235 + 0.0894767i
\(616\) −6.24654 13.6780i −0.251680 0.551103i
\(617\) 16.5807 + 12.4121i 0.667513 + 0.499694i 0.878468 0.477802i \(-0.158566\pi\)
−0.210955 + 0.977496i \(0.567657\pi\)
\(618\) 4.61266 + 1.00342i 0.185548 + 0.0403636i
\(619\) −20.9512 + 24.1789i −0.842099 + 0.971834i −0.999878 0.0156407i \(-0.995021\pi\)
0.157779 + 0.987474i \(0.449567\pi\)
\(620\) −8.67163 8.17480i −0.348261 0.328308i
\(621\) −3.63770 + 3.12524i −0.145976 + 0.125412i
\(622\) −23.9380 23.9380i −0.959825 0.959825i
\(623\) 0.674019 + 9.42402i 0.0270040 + 0.377566i
\(624\) −0.552440 0.859613i −0.0221153 0.0344121i
\(625\) 6.44472 + 24.1550i 0.257789 + 0.966201i
\(626\) −10.9035 + 4.97944i −0.435790 + 0.199019i
\(627\) 4.29407 3.21450i 0.171489 0.128375i
\(628\) 5.90273 + 3.22313i 0.235545 + 0.128617i
\(629\) 0.147006 0.228745i 0.00586151 0.00912068i
\(630\) 8.89396 3.61939i 0.354344 0.144200i
\(631\) −5.91586 + 20.1476i −0.235506 + 0.802061i 0.753912 + 0.656975i \(0.228164\pi\)
−0.989419 + 0.145087i \(0.953654\pi\)
\(632\) −8.46535 0.605454i −0.336734 0.0240837i
\(633\) −0.423728 0.0303056i −0.0168417 0.00120454i
\(634\) −3.24217 + 11.0418i −0.128763 + 0.438527i
\(635\) −10.5597 + 25.0518i −0.419050 + 0.994149i
\(636\) 6.13210 9.54174i 0.243154 0.378354i
\(637\) −10.2602 5.60251i −0.406525 0.221980i
\(638\) −21.8187 + 16.3333i −0.863810 + 0.646640i
\(639\) −13.3811 + 6.11093i −0.529347 + 0.241745i
\(640\) 2.20297 0.383333i 0.0870798 0.0151526i
\(641\) −13.7283 21.3616i −0.542233 0.843731i 0.456714 0.889614i \(-0.349026\pi\)
−0.998947 + 0.0458824i \(0.985390\pi\)
\(642\) 0.625895 + 8.75116i 0.0247021 + 0.345381i
\(643\) −21.0881 21.0881i −0.831635 0.831635i 0.156105 0.987740i \(-0.450106\pi\)
−0.987740 + 0.156105i \(0.950106\pi\)
\(644\) −11.2074 + 17.2779i −0.441633 + 0.680845i
\(645\) −4.58336 + 4.86192i −0.180470 + 0.191438i
\(646\) −0.467553 + 0.539585i −0.0183956 + 0.0212297i
\(647\) −7.83855 1.70517i −0.308165 0.0670372i 0.0558234 0.998441i \(-0.482222\pi\)
−0.363989 + 0.931403i \(0.618585\pi\)
\(648\) −0.800541 0.599278i −0.0314482 0.0235419i
\(649\) 1.06090 + 2.32304i 0.0416438 + 0.0911871i
\(650\) −5.09118 0.427812i −0.199692 0.0167802i
\(651\) 6.44793 + 21.9596i 0.252714 + 0.860666i
\(652\) −0.274979 1.26406i −0.0107690 0.0495043i
\(653\) −0.238181 0.638588i −0.00932074 0.0249899i 0.932206 0.361928i \(-0.117881\pi\)
−0.941527 + 0.336938i \(0.890609\pi\)
\(654\) −6.34506 1.86308i −0.248111 0.0728521i
\(655\) 4.47479 + 0.187678i 0.174845 + 0.00733318i
\(656\) −5.74709 6.63250i −0.224386 0.258956i
\(657\) 1.51056 + 2.76638i 0.0589324 + 0.107927i
\(658\) −5.62967 + 2.09976i −0.219467 + 0.0818571i
\(659\) 32.5525 + 20.9202i 1.26807 + 0.814937i 0.989367 0.145441i \(-0.0464602\pi\)
0.278700 + 0.960378i \(0.410097\pi\)
\(660\) 2.42644 + 7.44443i 0.0944492 + 0.289774i
\(661\) 43.8092 + 6.29881i 1.70398 + 0.244995i 0.924432 0.381346i \(-0.124540\pi\)
0.779548 + 0.626342i \(0.215449\pi\)
\(662\) −2.40384 + 6.44495i −0.0934279 + 0.250490i
\(663\) −0.285411 + 0.381265i −0.0110845 + 0.0148071i
\(664\) 8.25544 5.30545i 0.320373 0.205891i
\(665\) 11.3955 + 9.30053i 0.441899 + 0.360659i
\(666\) 0.583390i 0.0226059i
\(667\) 34.9192 + 13.1927i 1.35208 + 0.510825i
\(668\) 1.27889 1.27889i 0.0494816 0.0494816i
\(669\) −6.39815 5.54403i −0.247367 0.214345i
\(670\) −4.86779 + 26.0524i −0.188059 + 1.00649i
\(671\) −2.87241 19.9781i −0.110888 0.771245i
\(672\) −4.02349 1.50068i −0.155209 0.0578901i
\(673\) −11.5271 15.3984i −0.444338 0.593567i 0.521327 0.853357i \(-0.325437\pi\)
−0.965665 + 0.259791i \(0.916346\pi\)
\(674\) 20.4267 5.99782i 0.786808 0.231028i
\(675\) −4.81461 + 1.34891i −0.185314 + 0.0519195i
\(676\) −4.96665 + 10.8754i −0.191025 + 0.418286i
\(677\) −20.9461 + 11.4374i −0.805024 + 0.439576i −0.828391 0.560151i \(-0.810743\pi\)
0.0233669 + 0.999727i \(0.492561\pi\)
\(678\) 1.23404 17.2541i 0.0473929 0.662640i
\(679\) −45.9673 + 39.8309i −1.76406 + 1.52857i
\(680\) −0.526222 0.899597i −0.0201797 0.0344980i
\(681\) −4.49903 2.05464i −0.172403 0.0787340i
\(682\) −18.2359 + 3.96698i −0.698289 + 0.151904i
\(683\) 18.2936 33.5023i 0.699986 1.28193i −0.249577 0.968355i \(-0.580292\pi\)
0.949564 0.313574i \(-0.101526\pi\)
\(684\) 0.218004 1.51625i 0.00833560 0.0579754i
\(685\) 40.5846 20.0006i 1.55066 0.764186i
\(686\) −18.8745 + 2.71374i −0.720632 + 0.103611i
\(687\) 3.61524 16.6190i 0.137930 0.634054i
\(688\) 2.98055 0.213173i 0.113632 0.00812714i
\(689\) 11.5898 0.441537
\(690\) 6.81572 8.27925i 0.259470 0.315186i
\(691\) −15.7276 −0.598307 −0.299153 0.954205i \(-0.596704\pi\)
−0.299153 + 0.954205i \(0.596704\pi\)
\(692\) −9.72762 + 0.695733i −0.369789 + 0.0264478i
\(693\) 3.19631 14.6932i 0.121418 0.558149i
\(694\) −27.0121 + 3.88376i −1.02537 + 0.147425i
\(695\) 2.28533 6.72647i 0.0866875 0.255150i
\(696\) −1.10771 + 7.70426i −0.0419875 + 0.292029i
\(697\) −1.96032 + 3.59006i −0.0742525 + 0.135983i
\(698\) −0.0219374 + 0.00477219i −0.000830343 + 0.000180630i
\(699\) −22.0664 10.0774i −0.834626 0.381161i
\(700\) −18.2057 + 11.3827i −0.688109 + 0.430227i
\(701\) 5.83026 5.05195i 0.220206 0.190809i −0.537771 0.843091i \(-0.680733\pi\)
0.757977 + 0.652282i \(0.226188\pi\)
\(702\) 0.0728961 1.01922i 0.00275129 0.0384680i
\(703\) −0.784349 + 0.428287i −0.0295823 + 0.0161532i
\(704\) 1.45463 3.18520i 0.0548235 0.120047i
\(705\) 3.03628 0.754890i 0.114353 0.0284308i
\(706\) −7.98745 + 2.34533i −0.300612 + 0.0882676i
\(707\) −51.0110 68.1427i −1.91847 2.56277i
\(708\) 0.683338 + 0.254872i 0.0256814 + 0.00957868i
\(709\) 4.22562 + 29.3898i 0.158696 + 1.10376i 0.901039 + 0.433738i \(0.142806\pi\)
−0.742343 + 0.670020i \(0.766285\pi\)
\(710\) 27.1355 18.5916i 1.01838 0.697729i
\(711\) −6.41403 5.55779i −0.240545 0.208433i
\(712\) −1.55576 + 1.55576i −0.0583046 + 0.0583046i
\(713\) 17.9970 + 18.1499i 0.673994 + 0.679721i
\(714\) 2.00149i 0.0749038i
\(715\) −5.05887 + 6.19841i −0.189191 + 0.231807i
\(716\) 16.5608 10.6430i 0.618906 0.397747i
\(717\) −14.2955 + 19.0965i −0.533875 + 0.713173i
\(718\) 4.67314 12.5292i 0.174400 0.467585i
\(719\) −45.1501 6.49160i −1.68381 0.242096i −0.767068 0.641566i \(-0.778285\pi\)
−0.916746 + 0.399470i \(0.869194\pi\)
\(720\) 1.99329 + 1.01331i 0.0742854 + 0.0377640i
\(721\) 17.0532 + 10.9594i 0.635093 + 0.408149i
\(722\) −15.6034 + 5.81978i −0.580700 + 0.216590i
\(723\) 12.7262 + 23.3064i 0.473294 + 0.866773i
\(724\) −1.57469 1.81729i −0.0585231 0.0675392i
\(725\) 27.1745 + 27.8588i 1.00924 + 1.03465i
\(726\) 1.21035 + 0.355390i 0.0449202 + 0.0131898i
\(727\) −8.31397 22.2906i −0.308348 0.826714i −0.995014 0.0997399i \(-0.968199\pi\)
0.686665 0.726974i \(-0.259074\pi\)
\(728\) −0.932728 4.28768i −0.0345692 0.158912i
\(729\) −0.281733 0.959493i −0.0104345 0.0355368i
\(730\) −4.38815 5.51519i −0.162413 0.204126i
\(731\) −0.578566 1.26688i −0.0213990 0.0468574i
\(732\) −4.61434 3.45425i −0.170551 0.127673i
\(733\) −25.9501 5.64509i −0.958488 0.208506i −0.294000 0.955805i \(-0.594987\pi\)
−0.664488 + 0.747299i \(0.731350\pi\)
\(734\) −10.8697 + 12.5443i −0.401208 + 0.463018i
\(735\) 25.5706 0.754124i 0.943187 0.0278163i
\(736\) −4.74986 + 0.662429i −0.175082 + 0.0244175i
\(737\) 29.3475 + 29.3475i 1.08103 + 1.08103i
\(738\) −0.626077 8.75370i −0.0230462 0.322228i
\(739\) −10.5595 16.4309i −0.388438 0.604421i 0.590877 0.806761i \(-0.298782\pi\)
−0.979315 + 0.202340i \(0.935145\pi\)
\(740\) −0.223633 1.28519i −0.00822091 0.0472444i
\(741\) 1.42383 0.650240i 0.0523056 0.0238871i
\(742\) 38.9916 29.1887i 1.43143 1.07155i
\(743\) 27.7695 + 15.1633i 1.01876 + 0.556286i 0.899658 0.436595i \(-0.143816\pi\)
0.119105 + 0.992882i \(0.461998\pi\)
\(744\) −2.88141 + 4.48357i −0.105638 + 0.164376i
\(745\) 10.4575 + 25.6974i 0.383134 + 0.941480i
\(746\) 7.89051 26.8726i 0.288892 0.983876i
\(747\) 9.78826 + 0.700070i 0.358134 + 0.0256142i
\(748\) −1.62791 0.116430i −0.0595222 0.00425711i
\(749\) −10.6144 + 36.1495i −0.387843 + 1.32087i
\(750\) 10.0893 4.81720i 0.368410 0.175899i
\(751\) −8.86939 + 13.8010i −0.323649 + 0.503607i −0.964509 0.264050i \(-0.914941\pi\)
0.640860 + 0.767658i \(0.278578\pi\)
\(752\) −1.22805 0.670566i −0.0447824 0.0244530i
\(753\) −13.0558 + 9.77342i −0.475779 + 0.356163i
\(754\) −7.23462 + 3.30394i −0.263469 + 0.120322i
\(755\) −24.1620 16.9995i −0.879344 0.618677i
\(756\) −2.32164 3.61255i −0.0844373 0.131387i
\(757\) 1.96839 + 27.5217i 0.0715423 + 1.00029i 0.898768 + 0.438424i \(0.144463\pi\)
−0.827226 + 0.561869i \(0.810082\pi\)
\(758\) −13.4069 13.4069i −0.486959 0.486959i
\(759\) −4.66299 16.1329i −0.169256 0.585586i
\(760\) 0.100975 + 3.42382i 0.00366274 + 0.124195i
\(761\) −0.00239754 + 0.00276691i −8.69107e−5 + 0.000100300i −0.755793 0.654811i \(-0.772748\pi\)
0.755706 + 0.654911i \(0.227294\pi\)
\(762\) 11.8803 + 2.58439i 0.430377 + 0.0936227i
\(763\) −22.7334 17.0180i −0.823003 0.616093i
\(764\) −0.0355582 0.0778617i −0.00128645 0.00281694i
\(765\) 0.117846 1.03552i 0.00426073 0.0374392i
\(766\) −5.77830 19.6791i −0.208778 0.711034i
\(767\) 0.158412 + 0.728208i 0.00571993 + 0.0262941i
\(768\) −0.349464 0.936950i −0.0126102 0.0338093i
\(769\) 36.0384 + 10.5818i 1.29958 + 0.381591i 0.857082 0.515179i \(-0.172275\pi\)
0.442497 + 0.896770i \(0.354093\pi\)
\(770\) −1.40897 + 33.5939i −0.0507756 + 1.21064i
\(771\) 3.14413 + 3.62852i 0.113233 + 0.130678i
\(772\) −10.5410 19.3045i −0.379380 0.694783i
\(773\) 32.6880 12.1920i