Properties

Label 483.2.bf.a.388.17
Level $483$
Weight $2$
Character 483.388
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 388.17
Character \(\chi\) \(=\) 483.388
Dual form 483.2.bf.a.61.17

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0474955 - 0.0373509i) q^{2} +(0.814576 - 0.580057i) q^{3} +(-0.470657 + 1.94008i) q^{4} +(-2.52294 - 0.486256i) q^{5} +(0.0170231 - 0.0579752i) q^{6} +(-2.47853 - 0.925688i) q^{7} +(0.100311 + 0.219649i) q^{8} +(0.327068 - 0.945001i) q^{9} +O(q^{10})\) \(q+(0.0474955 - 0.0373509i) q^{2} +(0.814576 - 0.580057i) q^{3} +(-0.470657 + 1.94008i) q^{4} +(-2.52294 - 0.486256i) q^{5} +(0.0170231 - 0.0579752i) q^{6} +(-2.47853 - 0.925688i) q^{7} +(0.100311 + 0.219649i) q^{8} +(0.327068 - 0.945001i) q^{9} +(-0.137990 + 0.0711390i) q^{10} +(-0.645830 + 0.821240i) q^{11} +(0.741968 + 1.85335i) q^{12} +(2.60918 - 4.05997i) q^{13} +(-0.152294 + 0.0486092i) q^{14} +(-2.33718 + 1.06735i) q^{15} +(-3.53588 - 1.82287i) q^{16} +(-4.48017 + 4.27183i) q^{17} +(-0.0197624 - 0.0570996i) q^{18} +(-4.83551 - 4.61065i) q^{19} +(2.13081 - 4.66583i) q^{20} +(-2.55590 + 0.683644i) q^{21} +0.0631276i q^{22} +(-3.72820 + 3.01670i) q^{23} +(0.209120 + 0.120735i) q^{24} +(1.48693 + 0.595277i) q^{25} +(-0.0277189 - 0.290285i) q^{26} +(-0.281733 - 0.959493i) q^{27} +(2.96244 - 4.37285i) q^{28} +(-8.05452 - 2.36502i) q^{29} +(-0.0711390 + 0.137990i) q^{30} +(0.114168 - 1.19562i) q^{31} +(-0.710238 + 0.136887i) q^{32} +(-0.0497119 + 1.04358i) q^{33} +(-0.0532312 + 0.370231i) q^{34} +(5.80305 + 3.54065i) q^{35} +(1.67944 + 1.07931i) q^{36} +(8.56184 + 2.96328i) q^{37} +(-0.401877 - 0.0383746i) q^{38} +(-0.229635 - 4.82062i) q^{39} +(-0.146271 - 0.602938i) q^{40} +(3.91456 + 3.39198i) q^{41} +(-0.0958592 + 0.127935i) q^{42} +(-1.99388 - 0.910575i) q^{43} +(-1.28930 - 1.63948i) q^{44} +(-1.28468 + 2.22514i) q^{45} +(-0.0643963 + 0.282532i) q^{46} +(8.34895 - 4.82027i) q^{47} +(-3.93762 + 0.566144i) q^{48} +(5.28620 + 4.58869i) q^{49} +(0.0928567 - 0.0272652i) q^{50} +(-1.17153 + 6.07849i) q^{51} +(6.64861 + 6.97286i) q^{52} +(-3.34162 + 0.159181i) q^{53} +(-0.0492190 - 0.0350487i) q^{54} +(2.02872 - 1.75790i) q^{55} +(-0.0452956 - 0.637263i) q^{56} +(-6.61332 - 0.950852i) q^{57} +(-0.470889 + 0.188516i) q^{58} +(-1.83481 - 3.55903i) q^{59} +(-0.970738 - 5.03666i) q^{60} +(-0.0744591 + 0.104563i) q^{61} +(-0.0392351 - 0.0610511i) q^{62} +(-1.68542 + 2.03945i) q^{63} +(5.18159 - 5.97988i) q^{64} +(-8.55699 + 8.97431i) q^{65} +(0.0366176 + 0.0514222i) q^{66} +(-5.63291 + 14.0703i) q^{67} +(-6.17905 - 10.7024i) q^{68} +(-1.28704 + 4.61990i) q^{69} +(0.407866 - 0.0485839i) q^{70} +(1.05010 + 7.30361i) q^{71} +(0.240377 - 0.0229532i) q^{72} +(-2.26550 - 0.549604i) q^{73} +(0.517330 - 0.179050i) q^{74} +(1.55651 - 0.377606i) q^{75} +(11.2209 - 7.21121i) q^{76} +(2.36092 - 1.43763i) q^{77} +(-0.190961 - 0.220381i) q^{78} +(9.43095 + 0.449252i) q^{79} +(8.03443 + 6.31835i) q^{80} +(-0.786053 - 0.618159i) q^{81} +(0.312617 + 0.0148918i) q^{82} +(-4.05177 - 4.67600i) q^{83} +(-0.123368 - 5.28040i) q^{84} +(13.3804 - 8.59906i) q^{85} +(-0.128711 + 0.0312250i) q^{86} +(-7.93287 + 2.74559i) q^{87} +(-0.245168 - 0.0594772i) q^{88} +(6.70166 - 0.639931i) q^{89} +(0.0220942 + 0.153668i) q^{90} +(-10.2252 + 7.64745i) q^{91} +(-4.09793 - 8.65283i) q^{92} +(-0.600531 - 1.04015i) q^{93} +(0.216496 - 0.540782i) q^{94} +(9.95773 + 13.9837i) q^{95} +(-0.499141 + 0.523484i) q^{96} +(0.255039 - 0.294331i) q^{97} +(0.422463 + 0.0204978i) q^{98} +(0.564842 + 0.878911i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0474955 0.0373509i 0.0335844 0.0264111i −0.601226 0.799079i \(-0.705321\pi\)
0.634810 + 0.772668i \(0.281078\pi\)
\(3\) 0.814576 0.580057i 0.470296 0.334896i
\(4\) −0.470657 + 1.94008i −0.235329 + 0.970038i
\(5\) −2.52294 0.486256i −1.12829 0.217460i −0.409247 0.912424i \(-0.634209\pi\)
−0.719045 + 0.694963i \(0.755421\pi\)
\(6\) 0.0170231 0.0579752i 0.00694964 0.0236683i
\(7\) −2.47853 0.925688i −0.936796 0.349877i
\(8\) 0.100311 + 0.219649i 0.0354651 + 0.0776578i
\(9\) 0.327068 0.945001i 0.109023 0.315000i
\(10\) −0.137990 + 0.0711390i −0.0436364 + 0.0224961i
\(11\) −0.645830 + 0.821240i −0.194725 + 0.247613i −0.873604 0.486637i \(-0.838224\pi\)
0.678879 + 0.734250i \(0.262466\pi\)
\(12\) 0.741968 + 1.85335i 0.214188 + 0.535015i
\(13\) 2.60918 4.05997i 0.723657 1.12603i −0.263248 0.964728i \(-0.584794\pi\)
0.986905 0.161304i \(-0.0515699\pi\)
\(14\) −0.152294 + 0.0486092i −0.0407024 + 0.0129914i
\(15\) −2.33718 + 1.06735i −0.603458 + 0.275590i
\(16\) −3.53588 1.82287i −0.883971 0.455719i
\(17\) −4.48017 + 4.27183i −1.08660 + 1.03607i −0.0873970 + 0.996174i \(0.527855\pi\)
−0.999204 + 0.0398982i \(0.987297\pi\)
\(18\) −0.0197624 0.0570996i −0.00465803 0.0134585i
\(19\) −4.83551 4.61065i −1.10934 1.05775i −0.997951 0.0639779i \(-0.979621\pi\)
−0.111390 0.993777i \(-0.535530\pi\)
\(20\) 2.13081 4.66583i 0.476464 1.04331i
\(21\) −2.55590 + 0.683644i −0.557743 + 0.149183i
\(22\) 0.0631276i 0.0134588i
\(23\) −3.72820 + 3.01670i −0.777384 + 0.629026i
\(24\) 0.209120 + 0.120735i 0.0426864 + 0.0246450i
\(25\) 1.48693 + 0.595277i 0.297386 + 0.119055i
\(26\) −0.0277189 0.290285i −0.00543612 0.0569297i
\(27\) −0.281733 0.959493i −0.0542195 0.184655i
\(28\) 2.96244 4.37285i 0.559849 0.826391i
\(29\) −8.05452 2.36502i −1.49569 0.439173i −0.571336 0.820716i \(-0.693575\pi\)
−0.924351 + 0.381543i \(0.875393\pi\)
\(30\) −0.0711390 + 0.137990i −0.0129881 + 0.0251935i
\(31\) 0.114168 1.19562i 0.0205052 0.214740i −0.979412 0.201872i \(-0.935298\pi\)
0.999917 0.0128687i \(-0.00409634\pi\)
\(32\) −0.710238 + 0.136887i −0.125554 + 0.0241985i
\(33\) −0.0497119 + 1.04358i −0.00865372 + 0.181664i
\(34\) −0.0532312 + 0.370231i −0.00912908 + 0.0634941i
\(35\) 5.80305 + 3.54065i 0.980895 + 0.598480i
\(36\) 1.67944 + 1.07931i 0.279906 + 0.179885i
\(37\) 8.56184 + 2.96328i 1.40756 + 0.487160i 0.922049 0.387072i \(-0.126514\pi\)
0.485508 + 0.874232i \(0.338635\pi\)
\(38\) −0.401877 0.0383746i −0.0651930 0.00622518i
\(39\) −0.229635 4.82062i −0.0367710 0.771918i
\(40\) −0.146271 0.602938i −0.0231275 0.0953329i
\(41\) 3.91456 + 3.39198i 0.611351 + 0.529739i 0.904580 0.426304i \(-0.140184\pi\)
−0.293229 + 0.956042i \(0.594730\pi\)
\(42\) −0.0958592 + 0.127935i −0.0147914 + 0.0197408i
\(43\) −1.99388 0.910575i −0.304064 0.138861i 0.257540 0.966268i \(-0.417088\pi\)
−0.561604 + 0.827406i \(0.689815\pi\)
\(44\) −1.28930 1.63948i −0.194370 0.247161i
\(45\) −1.28468 + 2.22514i −0.191510 + 0.331704i
\(46\) −0.0643963 + 0.282532i −0.00949472 + 0.0416570i
\(47\) 8.34895 4.82027i 1.21782 0.703108i 0.253368 0.967370i \(-0.418462\pi\)
0.964451 + 0.264262i \(0.0851283\pi\)
\(48\) −3.93762 + 0.566144i −0.568346 + 0.0817158i
\(49\) 5.28620 + 4.58869i 0.755172 + 0.655527i
\(50\) 0.0928567 0.0272652i 0.0131319 0.00385588i
\(51\) −1.17153 + 6.07849i −0.164047 + 0.851158i
\(52\) 6.64861 + 6.97286i 0.921996 + 0.966962i
\(53\) −3.34162 + 0.159181i −0.459007 + 0.0218652i −0.275812 0.961212i \(-0.588947\pi\)
−0.183194 + 0.983077i \(0.558644\pi\)
\(54\) −0.0492190 0.0350487i −0.00669785 0.00476952i
\(55\) 2.02872 1.75790i 0.273553 0.237035i
\(56\) −0.0452956 0.637263i −0.00605288 0.0851579i
\(57\) −6.61332 0.950852i −0.875956 0.125943i
\(58\) −0.470889 + 0.188516i −0.0618308 + 0.0247533i
\(59\) −1.83481 3.55903i −0.238871 0.463346i 0.738676 0.674060i \(-0.235451\pi\)
−0.977548 + 0.210715i \(0.932421\pi\)
\(60\) −0.970738 5.03666i −0.125322 0.650231i
\(61\) −0.0744591 + 0.104563i −0.00953351 + 0.0133879i −0.819315 0.573343i \(-0.805646\pi\)
0.809782 + 0.586731i \(0.199586\pi\)
\(62\) −0.0392351 0.0610511i −0.00498287 0.00775349i
\(63\) −1.68542 + 2.03945i −0.212343 + 0.256946i
\(64\) 5.18159 5.97988i 0.647699 0.747485i
\(65\) −8.55699 + 8.97431i −1.06136 + 1.11313i
\(66\) 0.0366176 + 0.0514222i 0.00450731 + 0.00632963i
\(67\) −5.63291 + 14.0703i −0.688170 + 1.71897i 0.00685113 + 0.999977i \(0.497819\pi\)
−0.695021 + 0.718989i \(0.744605\pi\)
\(68\) −6.17905 10.7024i −0.749320 1.29786i
\(69\) −1.28704 + 4.61990i −0.154942 + 0.556171i
\(70\) 0.407866 0.0485839i 0.0487493 0.00580689i
\(71\) 1.05010 + 7.30361i 0.124624 + 0.866778i 0.952211 + 0.305441i \(0.0988039\pi\)
−0.827587 + 0.561337i \(0.810287\pi\)
\(72\) 0.240377 0.0229532i 0.0283287 0.00270507i
\(73\) −2.26550 0.549604i −0.265157 0.0643263i 0.100976 0.994889i \(-0.467803\pi\)
−0.366133 + 0.930562i \(0.619319\pi\)
\(74\) 0.517330 0.179050i 0.0601384 0.0208141i
\(75\) 1.55651 0.377606i 0.179731 0.0436022i
\(76\) 11.2209 7.21121i 1.28712 0.827183i
\(77\) 2.36092 1.43763i 0.269052 0.163833i
\(78\) −0.190961 0.220381i −0.0216221 0.0249532i
\(79\) 9.43095 + 0.449252i 1.06107 + 0.0505448i 0.570848 0.821056i \(-0.306615\pi\)
0.490217 + 0.871600i \(0.336918\pi\)
\(80\) 8.03443 + 6.31835i 0.898277 + 0.706412i
\(81\) −0.786053 0.618159i −0.0873392 0.0686843i
\(82\) 0.312617 + 0.0148918i 0.0345228 + 0.00164452i
\(83\) −4.05177 4.67600i −0.444740 0.513257i 0.488474 0.872578i \(-0.337554\pi\)
−0.933214 + 0.359321i \(0.883008\pi\)
\(84\) −0.123368 5.28040i −0.0134605 0.576139i
\(85\) 13.3804 8.59906i 1.45131 0.932699i
\(86\) −0.128711 + 0.0312250i −0.0138793 + 0.00336708i
\(87\) −7.93287 + 2.74559i −0.850493 + 0.294358i
\(88\) −0.245168 0.0594772i −0.0261350 0.00634029i
\(89\) 6.70166 0.639931i 0.710374 0.0678325i 0.266388 0.963866i \(-0.414170\pi\)
0.443987 + 0.896033i \(0.353564\pi\)
\(90\) 0.0220942 + 0.153668i 0.00232893 + 0.0161981i
\(91\) −10.2252 + 7.64745i −1.07189 + 0.801671i
\(92\) −4.09793 8.65283i −0.427238 0.902120i
\(93\) −0.600531 1.04015i −0.0622722 0.107859i
\(94\) 0.216496 0.540782i 0.0223299 0.0557774i
\(95\) 9.95773 + 13.9837i 1.02164 + 1.43469i
\(96\) −0.499141 + 0.523484i −0.0509433 + 0.0534278i
\(97\) 0.255039 0.294331i 0.0258953 0.0298847i −0.742654 0.669675i \(-0.766433\pi\)
0.768549 + 0.639790i \(0.220979\pi\)
\(98\) 0.422463 + 0.0204978i 0.0426752 + 0.00207059i
\(99\) 0.564842 + 0.878911i 0.0567688 + 0.0883339i
\(100\) −1.85472 + 2.60459i −0.185472 + 0.260459i
\(101\) −0.421670 2.18783i −0.0419578 0.217698i 0.954898 0.296934i \(-0.0959640\pi\)
−0.996856 + 0.0792361i \(0.974752\pi\)
\(102\) 0.171394 + 0.332459i 0.0169706 + 0.0329183i
\(103\) −8.80404 + 3.52461i −0.867488 + 0.347290i −0.762348 0.647167i \(-0.775953\pi\)
−0.105140 + 0.994457i \(0.533529\pi\)
\(104\) 1.15350 + 0.165848i 0.113110 + 0.0162627i
\(105\) 6.78081 0.481968i 0.661739 0.0470353i
\(106\) −0.152766 + 0.132373i −0.0148380 + 0.0128572i
\(107\) −8.06757 5.74489i −0.779922 0.555380i 0.119308 0.992857i \(-0.461933\pi\)
−0.899229 + 0.437478i \(0.855872\pi\)
\(108\) 1.99409 0.0949901i 0.191881 0.00914043i
\(109\) −12.5393 13.1508i −1.20104 1.25962i −0.957076 0.289836i \(-0.906399\pi\)
−0.243968 0.969783i \(-0.578449\pi\)
\(110\) 0.0306962 0.159267i 0.00292677 0.0151855i
\(111\) 8.69314 2.55254i 0.825116 0.242276i
\(112\) 7.07637 + 7.79117i 0.668654 + 0.736196i
\(113\) −3.79536 + 0.545691i −0.357038 + 0.0513343i −0.318500 0.947923i \(-0.603179\pi\)
−0.0385377 + 0.999257i \(0.512270\pi\)
\(114\) −0.349618 + 0.201852i −0.0327448 + 0.0189052i
\(115\) 10.8729 5.79809i 1.01390 0.540675i
\(116\) 8.37924 14.5133i 0.777993 1.34752i
\(117\) −2.98329 3.79356i −0.275805 0.350715i
\(118\) −0.220078 0.100506i −0.0202598 0.00925234i
\(119\) 15.0586 6.44062i 1.38042 0.590411i
\(120\) −0.468888 0.406293i −0.0428034 0.0370893i
\(121\) 2.33601 + 9.62916i 0.212365 + 0.875379i
\(122\) 0.000369054 0.00774739i 3.34126e−5 0.000701416i
\(123\) 5.15625 + 0.492362i 0.464923 + 0.0443948i
\(124\) 2.26587 + 0.784224i 0.203481 + 0.0704254i
\(125\) 7.34548 + 4.72065i 0.657000 + 0.422228i
\(126\) −0.00387485 + 0.159817i −0.000345199 + 0.0142376i
\(127\) 2.09199 14.5501i 0.185634 1.29111i −0.657517 0.753439i \(-0.728393\pi\)
0.843152 0.537676i \(-0.180698\pi\)
\(128\) 0.0915816 1.92254i 0.00809475 0.169930i
\(129\) −2.15235 + 0.414832i −0.189504 + 0.0365239i
\(130\) −0.0712201 + 0.745851i −0.00624642 + 0.0654154i
\(131\) −8.05938 + 15.6330i −0.704151 + 1.36586i 0.216813 + 0.976213i \(0.430434\pi\)
−0.920963 + 0.389649i \(0.872596\pi\)
\(132\) −2.00123 0.587613i −0.174184 0.0511452i
\(133\) 7.71692 + 15.9038i 0.669142 + 1.37903i
\(134\) 0.258002 + 0.878673i 0.0222879 + 0.0759058i
\(135\) 0.244234 + 2.55774i 0.0210203 + 0.220135i
\(136\) −1.38771 0.555557i −0.118995 0.0476386i
\(137\) −10.4895 6.05609i −0.896175 0.517407i −0.0202180 0.999796i \(-0.506436\pi\)
−0.875957 + 0.482389i \(0.839769\pi\)
\(138\) 0.111429 + 0.267497i 0.00948544 + 0.0227709i
\(139\) 12.7906i 1.08488i −0.840094 0.542441i \(-0.817500\pi\)
0.840094 0.542441i \(-0.182500\pi\)
\(140\) −9.60038 + 9.59192i −0.811380 + 0.810665i
\(141\) 4.00482 8.76934i 0.337267 0.738511i
\(142\) 0.322671 + 0.307666i 0.0270780 + 0.0258188i
\(143\) 1.64912 + 4.76481i 0.137906 + 0.398454i
\(144\) −2.87909 + 2.74521i −0.239924 + 0.228767i
\(145\) 19.1711 + 9.88337i 1.59207 + 0.820769i
\(146\) −0.128129 + 0.0585147i −0.0106041 + 0.00484271i
\(147\) 6.96771 + 0.671537i 0.574687 + 0.0553874i
\(148\) −9.77868 + 15.2159i −0.803802 + 1.25074i
\(149\) 5.28242 + 13.1949i 0.432753 + 1.08096i 0.971192 + 0.238300i \(0.0765901\pi\)
−0.538439 + 0.842665i \(0.680986\pi\)
\(150\) 0.0598235 0.0760717i 0.00488457 0.00621123i
\(151\) 6.73466 3.47196i 0.548059 0.282544i −0.161876 0.986811i \(-0.551755\pi\)
0.709935 + 0.704267i \(0.248724\pi\)
\(152\) 0.527673 1.52461i 0.0428000 0.123662i
\(153\) 2.57157 + 5.63094i 0.207899 + 0.455235i
\(154\) 0.0584364 0.156463i 0.00470894 0.0126082i
\(155\) −0.869419 + 2.96097i −0.0698334 + 0.237831i
\(156\) 9.46045 + 1.82335i 0.757442 + 0.145985i
\(157\) 0.958170 3.94963i 0.0764703 0.315215i −0.920711 0.390245i \(-0.872390\pi\)
0.997181 + 0.0750304i \(0.0239054\pi\)
\(158\) 0.464708 0.330917i 0.0369702 0.0263263i
\(159\) −2.62967 + 2.06799i −0.208546 + 0.164003i
\(160\) 1.85845 0.146923
\(161\) 12.0330 4.02583i 0.948332 0.317280i
\(162\) −0.0604228 −0.00474726
\(163\) −2.86497 + 2.25304i −0.224402 + 0.176471i −0.724030 0.689768i \(-0.757712\pi\)
0.499628 + 0.866240i \(0.333470\pi\)
\(164\) −8.42311 + 5.99807i −0.657735 + 0.468371i
\(165\) 0.632868 2.60872i 0.0492687 0.203088i
\(166\) −0.367094 0.0707515i −0.0284920 0.00549138i
\(167\) −5.81899 + 19.8176i −0.450287 + 1.53354i 0.351653 + 0.936130i \(0.385620\pi\)
−0.801940 + 0.597405i \(0.796198\pi\)
\(168\) −0.406546 0.492825i −0.0313657 0.0380223i
\(169\) −4.27510 9.36116i −0.328854 0.720089i
\(170\) 0.314326 0.908187i 0.0241077 0.0696547i
\(171\) −5.93860 + 3.06156i −0.454136 + 0.234124i
\(172\) 2.70502 3.43971i 0.206256 0.262276i
\(173\) −3.72191 9.29688i −0.282972 0.706829i −0.999953 0.00973617i \(-0.996901\pi\)
0.716981 0.697093i \(-0.245523\pi\)
\(174\) −0.274225 + 0.426703i −0.0207890 + 0.0323483i
\(175\) −3.13436 2.85185i −0.236935 0.215579i
\(176\) 3.78060 1.72654i 0.284973 0.130143i
\(177\) −3.55903 1.83481i −0.267513 0.137912i
\(178\) 0.294397 0.280707i 0.0220660 0.0210399i
\(179\) −6.88303 19.8872i −0.514462 1.48644i −0.840884 0.541216i \(-0.817964\pi\)
0.326422 0.945224i \(-0.394157\pi\)
\(180\) −3.71229 3.53966i −0.276698 0.263831i
\(181\) 8.22307 18.0060i 0.611216 1.33838i −0.310524 0.950566i \(-0.600504\pi\)
0.921739 0.387810i \(-0.126768\pi\)
\(182\) −0.200012 + 0.745140i −0.0148259 + 0.0552334i
\(183\) 0.128365i 0.00948902i
\(184\) −1.03660 0.516290i −0.0764188 0.0380614i
\(185\) −20.1601 11.6394i −1.48220 0.855747i
\(186\) −0.0673731 0.0269721i −0.00494003 0.00197769i
\(187\) −0.614771 6.43817i −0.0449565 0.470806i
\(188\) 5.42219 + 18.4663i 0.395454 + 1.34679i
\(189\) −0.189909 + 2.63893i −0.0138139 + 0.191954i
\(190\) 0.995250 + 0.292232i 0.0722030 + 0.0212007i
\(191\) −2.38731 + 4.63073i −0.172739 + 0.335068i −0.959273 0.282479i \(-0.908843\pi\)
0.786534 + 0.617547i \(0.211873\pi\)
\(192\) 0.752132 7.87668i 0.0542805 0.568451i
\(193\) −12.6564 + 2.43933i −0.911029 + 0.175587i −0.623170 0.782086i \(-0.714156\pi\)
−0.287859 + 0.957673i \(0.592943\pi\)
\(194\) 0.00111970 0.0235053i 8.03895e−5 0.00168758i
\(195\) −1.76471 + 12.2738i −0.126373 + 0.878945i
\(196\) −11.3904 + 8.09593i −0.813599 + 0.578281i
\(197\) −10.5086 6.75349i −0.748710 0.481166i 0.109807 0.993953i \(-0.464977\pi\)
−0.858516 + 0.512787i \(0.828613\pi\)
\(198\) 0.0596556 + 0.0206470i 0.00423954 + 0.00146732i
\(199\) 6.64474 + 0.634496i 0.471033 + 0.0449782i 0.327874 0.944721i \(-0.393668\pi\)
0.143159 + 0.989700i \(0.454274\pi\)
\(200\) 0.0184025 + 0.386316i 0.00130125 + 0.0273167i
\(201\) 3.57316 + 14.7288i 0.252031 + 1.03889i
\(202\) −0.101745 0.0881626i −0.00715875 0.00620310i
\(203\) 17.7741 + 13.3177i 1.24750 + 0.934723i
\(204\) −11.2413 5.13374i −0.787051 0.359434i
\(205\) −8.22681 10.4612i −0.574585 0.730644i
\(206\) −0.286505 + 0.496242i −0.0199618 + 0.0345748i
\(207\) 1.63141 + 4.50982i 0.113391 + 0.313454i
\(208\) −16.6266 + 9.59936i −1.15285 + 0.665596i
\(209\) 6.90936 0.993416i 0.477931 0.0687160i
\(210\) 0.304056 0.276160i 0.0209819 0.0190569i
\(211\) −8.74537 + 2.56787i −0.602056 + 0.176780i −0.568536 0.822658i \(-0.692490\pi\)
−0.0335203 + 0.999438i \(0.510672\pi\)
\(212\) 1.26393 6.55791i 0.0868073 0.450399i
\(213\) 5.09189 + 5.34022i 0.348891 + 0.365906i
\(214\) −0.597750 + 0.0284744i −0.0408614 + 0.00194647i
\(215\) 4.58767 + 3.26686i 0.312876 + 0.222798i
\(216\) 0.182491 0.158130i 0.0124170 0.0107594i
\(217\) −1.38974 + 2.85770i −0.0943420 + 0.193993i
\(218\) −1.08675 0.156252i −0.0736043 0.0105827i
\(219\) −2.16422 + 0.866425i −0.146245 + 0.0585475i
\(220\) 2.45562 + 4.76324i 0.165558 + 0.321138i
\(221\) 5.65392 + 29.3353i 0.380324 + 1.97331i
\(222\) 0.317546 0.445930i 0.0213123 0.0299289i
\(223\) −14.6186 22.7471i −0.978937 1.52326i −0.846723 0.532034i \(-0.821428\pi\)
−0.132214 0.991221i \(-0.542209\pi\)
\(224\) 1.88706 + 0.318180i 0.126085 + 0.0212593i
\(225\) 1.04886 1.21045i 0.0699243 0.0806970i
\(226\) −0.159881 + 0.167678i −0.0106351 + 0.0111538i
\(227\) −7.09909 9.96927i −0.471183 0.661684i 0.508772 0.860901i \(-0.330099\pi\)
−0.979955 + 0.199217i \(0.936160\pi\)
\(228\) 4.95733 12.3828i 0.328307 0.820072i
\(229\) −0.780189 1.35133i −0.0515564 0.0892983i 0.839095 0.543984i \(-0.183085\pi\)
−0.890652 + 0.454686i \(0.849752\pi\)
\(230\) 0.299851 0.681497i 0.0197716 0.0449366i
\(231\) 1.08924 2.54053i 0.0716669 0.167154i
\(232\) −0.288478 2.00641i −0.0189395 0.131727i
\(233\) 10.5422 1.00665i 0.690640 0.0659481i 0.256166 0.966633i \(-0.417540\pi\)
0.434474 + 0.900685i \(0.356934\pi\)
\(234\) −0.283386 0.0687487i −0.0185255 0.00449424i
\(235\) −23.4078 + 8.10150i −1.52695 + 0.528484i
\(236\) 7.76834 1.88458i 0.505676 0.122676i
\(237\) 7.94282 5.10454i 0.515942 0.331575i
\(238\) 0.474654 0.868353i 0.0307672 0.0562870i
\(239\) −13.8698 16.0066i −0.897162 1.03538i −0.999176 0.0405970i \(-0.987074\pi\)
0.102014 0.994783i \(-0.467471\pi\)
\(240\) 10.2097 + 0.486346i 0.659030 + 0.0313935i
\(241\) 5.37337 + 4.22566i 0.346129 + 0.272199i 0.776055 0.630665i \(-0.217218\pi\)
−0.429926 + 0.902864i \(0.641460\pi\)
\(242\) 0.470608 + 0.370090i 0.0302518 + 0.0237903i
\(243\) −0.998867 0.0475819i −0.0640774 0.00305238i
\(244\) −0.167816 0.193670i −0.0107433 0.0123984i
\(245\) −11.1055 14.1474i −0.709503 0.903846i
\(246\) 0.263289 0.169205i 0.0167867 0.0107881i
\(247\) −31.3358 + 7.60198i −1.99385 + 0.483702i
\(248\) 0.274070 0.0948566i 0.0174035 0.00602340i
\(249\) −6.01282 1.45869i −0.381047 0.0924410i
\(250\) 0.525198 0.0501503i 0.0332164 0.00317179i
\(251\) −3.63793 25.3024i −0.229624 1.59707i −0.699694 0.714443i \(-0.746680\pi\)
0.470069 0.882630i \(-0.344229\pi\)
\(252\) −3.16343 4.22973i −0.199277 0.266448i
\(253\) −0.0696519 5.01003i −0.00437898 0.314978i
\(254\) −0.444100 0.769204i −0.0278653 0.0482641i
\(255\) 5.91141 14.7660i 0.370187 0.924681i
\(256\) 9.11196 + 12.7960i 0.569497 + 0.799747i
\(257\) −3.66601 + 3.84481i −0.228680 + 0.239832i −0.828070 0.560624i \(-0.810561\pi\)
0.599391 + 0.800457i \(0.295410\pi\)
\(258\) −0.0867328 + 0.100095i −0.00539975 + 0.00623164i
\(259\) −18.4777 15.2702i −1.14815 0.948842i
\(260\) −13.3834 20.8250i −0.830005 1.29151i
\(261\) −4.86932 + 6.83801i −0.301404 + 0.423262i
\(262\) 0.201123 + 1.04352i 0.0124254 + 0.0644690i
\(263\) −3.91788 7.59962i −0.241587 0.468613i 0.736603 0.676325i \(-0.236429\pi\)
−0.978190 + 0.207712i \(0.933398\pi\)
\(264\) −0.234208 + 0.0937629i −0.0144145 + 0.00577071i
\(265\) 8.50810 + 1.22328i 0.522648 + 0.0751455i
\(266\) 0.960540 + 0.467125i 0.0588945 + 0.0286413i
\(267\) 5.08781 4.40861i 0.311369 0.269803i
\(268\) −24.6463 17.5506i −1.50552 1.07207i
\(269\) 17.1266 0.815842i 1.04423 0.0497428i 0.481551 0.876418i \(-0.340074\pi\)
0.562679 + 0.826676i \(0.309771\pi\)
\(270\) 0.107134 + 0.112359i 0.00651995 + 0.00683793i
\(271\) 0.0809631 0.420076i 0.00491816 0.0255178i −0.979387 0.201994i \(-0.935258\pi\)
0.984305 + 0.176476i \(0.0564699\pi\)
\(272\) 23.6284 6.93792i 1.43268 0.420673i
\(273\) −3.89324 + 12.1606i −0.235630 + 0.735994i
\(274\) −0.724403 + 0.104153i −0.0437628 + 0.00629214i
\(275\) −1.44917 + 0.836679i −0.0873882 + 0.0504536i
\(276\) −8.35721 4.67135i −0.503045 0.281182i
\(277\) −8.57764 + 14.8569i −0.515380 + 0.892665i 0.484460 + 0.874813i \(0.339016\pi\)
−0.999841 + 0.0178517i \(0.994317\pi\)
\(278\) −0.477739 0.607494i −0.0286529 0.0364351i
\(279\) −1.09252 0.498939i −0.0654077 0.0298707i
\(280\) −0.195595 + 1.62980i −0.0116891 + 0.0973992i
\(281\) −1.18107 1.02340i −0.0704565 0.0610509i 0.618921 0.785454i \(-0.287570\pi\)
−0.689377 + 0.724403i \(0.742116\pi\)
\(282\) −0.137331 0.566088i −0.00817797 0.0337100i
\(283\) 0.448173 + 9.40831i 0.0266411 + 0.559266i 0.972248 + 0.233954i \(0.0751664\pi\)
−0.945607 + 0.325312i \(0.894531\pi\)
\(284\) −14.6638 1.40022i −0.870135 0.0830878i
\(285\) 16.2226 + 5.61471i 0.960947 + 0.332587i
\(286\) 0.256296 + 0.164711i 0.0151551 + 0.00973958i
\(287\) −6.56242 12.0308i −0.387367 0.710154i
\(288\) −0.102938 + 0.715947i −0.00606566 + 0.0421876i
\(289\) 1.01447 21.2963i 0.0596747 1.25273i
\(290\) 1.27969 0.246640i 0.0751461 0.0144832i
\(291\) 0.0370201 0.387692i 0.00217015 0.0227269i
\(292\) 2.13255 4.13657i 0.124798 0.242074i
\(293\) 3.60747 + 1.05925i 0.210750 + 0.0618819i 0.385404 0.922748i \(-0.374062\pi\)
−0.174653 + 0.984630i \(0.555880\pi\)
\(294\) 0.356018 0.228355i 0.0207634 0.0133180i
\(295\) 2.89850 + 9.87139i 0.168757 + 0.574734i
\(296\) 0.207959 + 2.17785i 0.0120874 + 0.126585i
\(297\) 0.969925 + 0.388299i 0.0562808 + 0.0225314i
\(298\) 0.743731 + 0.429393i 0.0430832 + 0.0248741i
\(299\) 2.52016 + 23.0075i 0.145745 + 1.33056i
\(300\) 3.19747i 0.184606i
\(301\) 4.09898 + 4.10260i 0.236261 + 0.236470i
\(302\) 0.190185 0.416448i 0.0109439 0.0239639i
\(303\) −1.61255 1.53756i −0.0926386 0.0883308i
\(304\) 8.69316 + 25.1172i 0.498587 + 1.44057i
\(305\) 0.238700 0.227600i 0.0136679 0.0130323i
\(306\) 0.332459 + 0.171394i 0.0190054 + 0.00979796i
\(307\) −20.1407 + 9.19793i −1.14949 + 0.524954i −0.896731 0.442576i \(-0.854065\pi\)
−0.252757 + 0.967530i \(0.581337\pi\)
\(308\) 1.67792 + 5.25699i 0.0956086 + 0.299545i
\(309\) −5.12709 + 7.97791i −0.291670 + 0.453847i
\(310\) 0.0693013 + 0.173106i 0.00393605 + 0.00983178i
\(311\) 7.01216 8.91668i 0.397623 0.505619i −0.545478 0.838125i \(-0.683652\pi\)
0.943101 + 0.332506i \(0.107894\pi\)
\(312\) 1.03581 0.533998i 0.0586413 0.0302317i
\(313\) 0.657481 1.89967i 0.0371630 0.107376i −0.924893 0.380227i \(-0.875846\pi\)
0.962056 + 0.272852i \(0.0879669\pi\)
\(314\) −0.102013 0.223378i −0.00575695 0.0126060i
\(315\) 5.24391 4.32585i 0.295461 0.243734i
\(316\) −5.31033 + 18.0853i −0.298729 + 1.01738i
\(317\) 29.3532 + 5.65736i 1.64864 + 0.317749i 0.927153 0.374682i \(-0.122248\pi\)
0.721484 + 0.692431i \(0.243460\pi\)
\(318\) −0.0476560 + 0.196441i −0.00267242 + 0.0110159i
\(319\) 7.14410 5.08729i 0.399993 0.284834i
\(320\) −15.9806 + 12.5673i −0.893342 + 0.702532i
\(321\) −9.90401 −0.552788
\(322\) 0.421144 0.640652i 0.0234695 0.0357021i
\(323\) 41.3598 2.30132
\(324\) 1.56924 1.23406i 0.0871798 0.0685590i
\(325\) 6.29648 4.48370i 0.349266 0.248711i
\(326\) −0.0519203 + 0.214018i −0.00287560 + 0.0118534i
\(327\) −17.8424 3.43884i −0.986687 0.190168i
\(328\) −0.352376 + 1.20008i −0.0194567 + 0.0662634i
\(329\) −25.1552 + 4.21865i −1.38685 + 0.232581i
\(330\) −0.0673795 0.147541i −0.00370912 0.00812184i
\(331\) −4.25376 + 12.2904i −0.233808 + 0.675543i 0.765670 + 0.643234i \(0.222408\pi\)
−0.999478 + 0.0323099i \(0.989714\pi\)
\(332\) 10.9788 5.65996i 0.602539 0.310630i
\(333\) 5.60060 7.12175i 0.306911 0.390269i
\(334\) 0.463831 + 1.15859i 0.0253797 + 0.0633954i
\(335\) 21.0533 32.7596i 1.15026 1.78985i
\(336\) 10.2836 + 2.24180i 0.561014 + 0.122300i
\(337\) −8.22599 + 3.75668i −0.448098 + 0.204640i −0.626666 0.779288i \(-0.715581\pi\)
0.178568 + 0.983928i \(0.442854\pi\)
\(338\) −0.552696 0.284935i −0.0300627 0.0154984i
\(339\) −2.77508 + 2.64603i −0.150722 + 0.143713i
\(340\) 10.3852 + 30.0062i 0.563219 + 1.62731i
\(341\) 0.908160 + 0.865929i 0.0491796 + 0.0468927i
\(342\) −0.167705 + 0.367223i −0.00906845 + 0.0198571i
\(343\) −8.85431 16.2666i −0.478088 0.878312i
\(344\) 0.529295i 0.0285377i
\(345\) 5.49359 11.0299i 0.295765 0.593830i
\(346\) −0.524021 0.302544i −0.0281715 0.0162648i
\(347\) −4.77649 1.91222i −0.256416 0.102653i 0.239893 0.970799i \(-0.422887\pi\)
−0.496309 + 0.868146i \(0.665312\pi\)
\(348\) −1.59299 16.6826i −0.0853935 0.894281i
\(349\) 7.90334 + 26.9163i 0.423056 + 1.44080i 0.845289 + 0.534310i \(0.179428\pi\)
−0.422233 + 0.906487i \(0.638753\pi\)
\(350\) −0.255387 0.0183788i −0.0136510 0.000982389i
\(351\) −4.63060 1.35967i −0.247163 0.0725737i
\(352\) 0.346276 0.671682i 0.0184566 0.0358008i
\(353\) −2.08899 + 21.8768i −0.111185 + 1.16439i 0.751882 + 0.659298i \(0.229146\pi\)
−0.863067 + 0.505089i \(0.831460\pi\)
\(354\) −0.237569 + 0.0457878i −0.0126267 + 0.00243359i
\(355\) 0.902088 18.9372i 0.0478779 1.00508i
\(356\) −1.91267 + 13.3029i −0.101371 + 0.705053i
\(357\) 8.53046 13.9812i 0.451480 0.739965i
\(358\) −1.06972 0.687466i −0.0565364 0.0363337i
\(359\) −6.96779 2.41158i −0.367746 0.127278i 0.136944 0.990579i \(-0.456272\pi\)
−0.504690 + 0.863301i \(0.668393\pi\)
\(360\) −0.617618 0.0589754i −0.0325513 0.00310827i
\(361\) 1.22001 + 25.6111i 0.0642110 + 1.34795i
\(362\) −0.281981 1.16234i −0.0148206 0.0610914i
\(363\) 7.48832 + 6.48867i 0.393035 + 0.340567i
\(364\) −10.0241 23.4370i −0.525404 1.22843i
\(365\) 5.44847 + 2.48823i 0.285186 + 0.130240i
\(366\) 0.00479455 + 0.00609677i 0.000250615 + 0.000318683i
\(367\) −11.1952 + 19.3906i −0.584384 + 1.01218i 0.410568 + 0.911830i \(0.365330\pi\)
−0.994952 + 0.100353i \(0.968003\pi\)
\(368\) 18.6816 3.87067i 0.973844 0.201773i
\(369\) 4.48575 2.58985i 0.233519 0.134822i
\(370\) −1.39226 + 0.200176i −0.0723799 + 0.0104067i
\(371\) 8.42965 + 2.69876i 0.437645 + 0.140113i
\(372\) 2.30061 0.675521i 0.119281 0.0350241i
\(373\) −2.82964 + 14.6816i −0.146513 + 0.760184i 0.832124 + 0.554590i \(0.187125\pi\)
−0.978637 + 0.205594i \(0.934087\pi\)
\(374\) −0.269670 0.282822i −0.0139443 0.0146244i
\(375\) 8.72170 0.415466i 0.450387 0.0214546i
\(376\) 1.89626 + 1.35032i 0.0977919 + 0.0696373i
\(377\) −30.6176 + 26.5303i −1.57689 + 1.36638i
\(378\) 0.0895464 + 0.132430i 0.00460577 + 0.00681149i
\(379\) 24.7358 + 3.55647i 1.27059 + 0.182684i 0.744430 0.667700i \(-0.232721\pi\)
0.526163 + 0.850384i \(0.323630\pi\)
\(380\) −31.8160 + 12.7372i −1.63213 + 0.653406i
\(381\) −6.73581 13.0657i −0.345086 0.669374i
\(382\) 0.0595755 + 0.309107i 0.00304815 + 0.0158153i
\(383\) 6.86414 9.63933i 0.350741 0.492547i −0.601085 0.799185i \(-0.705265\pi\)
0.951826 + 0.306638i \(0.0992041\pi\)
\(384\) −1.04058 1.61917i −0.0531019 0.0826281i
\(385\) −6.65551 + 2.47904i −0.339196 + 0.126343i
\(386\) −0.510013 + 0.588586i −0.0259590 + 0.0299582i
\(387\) −1.51263 + 1.58640i −0.0768913 + 0.0806412i
\(388\) 0.450988 + 0.633323i 0.0228954 + 0.0321521i
\(389\) 6.80797 17.0055i 0.345178 0.862213i −0.649612 0.760266i \(-0.725069\pi\)
0.994790 0.101947i \(-0.0325072\pi\)
\(390\) 0.374622 + 0.648864i 0.0189697 + 0.0328565i
\(391\) 3.81612 29.4416i 0.192990 1.48893i
\(392\) −0.477641 + 1.62140i −0.0241245 + 0.0818933i
\(393\) 2.50306 + 17.4092i 0.126263 + 0.878176i
\(394\) −0.751362 + 0.0717464i −0.0378531 + 0.00361453i
\(395\) −23.5753 5.71930i −1.18620 0.287769i
\(396\) −1.97100 + 0.682170i −0.0990465 + 0.0342803i
\(397\) 26.7048 6.47852i 1.34028 0.325148i 0.499399 0.866372i \(-0.333554\pi\)
0.840878 + 0.541224i \(0.182039\pi\)
\(398\) 0.339294 0.218051i 0.0170073 0.0109299i
\(399\) 15.5111 + 8.47859i 0.776527 + 0.424460i
\(400\) −4.17250 4.81532i −0.208625 0.240766i
\(401\) 8.40110 + 0.400194i 0.419531 + 0.0199847i 0.256286 0.966601i \(-0.417501\pi\)
0.163245 + 0.986586i \(0.447804\pi\)
\(402\) 0.719842 + 0.566090i 0.0359025 + 0.0282340i
\(403\) −4.55631 3.58312i −0.226966 0.178488i
\(404\) 4.44302 + 0.211647i 0.221049 + 0.0105298i
\(405\) 1.68258 + 1.94180i 0.0836080 + 0.0964888i
\(406\) 1.34162 0.0313447i 0.0665835 0.00155561i
\(407\) −7.96306 + 5.11755i −0.394714 + 0.253667i
\(408\) −1.45265 + 0.352410i −0.0719170 + 0.0174469i
\(409\) −16.6608 + 5.76635i −0.823823 + 0.285128i −0.706273 0.707939i \(-0.749625\pi\)
−0.117549 + 0.993067i \(0.537504\pi\)
\(410\) −0.781473 0.189583i −0.0385942 0.00936285i
\(411\) −12.0573 + 1.15134i −0.594745 + 0.0567913i
\(412\) −2.69432 18.7394i −0.132739 0.923223i
\(413\) 1.25307 + 10.5196i 0.0616595 + 0.517636i
\(414\) 0.245931 + 0.153262i 0.0120868 + 0.00753240i
\(415\) 7.94864 + 13.7675i 0.390183 + 0.675818i
\(416\) −1.29738 + 3.24071i −0.0636095 + 0.158889i
\(417\) −7.41925 10.4189i −0.363322 0.510215i
\(418\) 0.291059 0.305254i 0.0142362 0.0149304i
\(419\) 2.38491 2.75233i 0.116510 0.134460i −0.694498 0.719495i \(-0.744374\pi\)
0.811008 + 0.585034i \(0.198919\pi\)
\(420\) −2.25638 + 13.3821i −0.110100 + 0.652980i
\(421\) 9.51159 + 14.8003i 0.463567 + 0.721324i 0.991803 0.127773i \(-0.0407830\pi\)
−0.528237 + 0.849097i \(0.677147\pi\)
\(422\) −0.319454 + 0.448610i −0.0155508 + 0.0218380i
\(423\) −1.82448 9.46632i −0.0887094 0.460268i
\(424\) −0.370163 0.718017i −0.0179767 0.0348700i
\(425\) −9.20463 + 3.68498i −0.446490 + 0.178748i
\(426\) 0.441304 + 0.0634500i 0.0213813 + 0.00307416i
\(427\) 0.281342 0.190237i 0.0136151 0.00920620i
\(428\) 14.9426 12.9478i 0.722277 0.625857i
\(429\) 4.10719 + 2.92472i 0.198297 + 0.141207i
\(430\) 0.339914 0.0161921i 0.0163921 0.000780852i
\(431\) −20.4820 21.4809i −0.986583 1.03470i −0.999395 0.0347810i \(-0.988927\pi\)
0.0128115 0.999918i \(-0.495922\pi\)
\(432\) −0.752862 + 3.90622i −0.0362221 + 0.187938i
\(433\) 1.62265 0.476454i 0.0779797 0.0228969i −0.242510 0.970149i \(-0.577971\pi\)
0.320490 + 0.947252i \(0.396153\pi\)
\(434\) 0.0407311 + 0.187636i 0.00195516 + 0.00900683i
\(435\) 21.3492 3.06955i 1.02362 0.147174i
\(436\) 31.4153 18.1376i 1.50452 0.868634i
\(437\) 31.9367 + 2.60213i 1.52774 + 0.124477i
\(438\) −0.0704292 + 0.121987i −0.00336524 + 0.00582876i
\(439\) −11.3041 14.3743i −0.539514 0.686047i 0.437501 0.899218i \(-0.355863\pi\)
−0.977015 + 0.213170i \(0.931621\pi\)
\(440\) 0.589623 + 0.269272i 0.0281092 + 0.0128370i
\(441\) 6.06526 3.49465i 0.288822 0.166412i
\(442\) 1.36424 + 1.18212i 0.0648901 + 0.0562276i
\(443\) −0.634680 2.61618i −0.0301545 0.124299i 0.954745 0.297426i \(-0.0961280\pi\)
−0.984900 + 0.173127i \(0.944613\pi\)
\(444\) 0.860623 + 18.0667i 0.0408434 + 0.857408i
\(445\) −17.2190 1.64422i −0.816261 0.0779434i
\(446\) −1.54394 0.534364i −0.0731078 0.0253029i
\(447\) 11.9567 + 7.68410i 0.565532 + 0.363446i
\(448\) −18.3782 + 10.0248i −0.868290 + 0.473625i
\(449\) −4.65798 + 32.3970i −0.219824 + 1.52891i 0.518861 + 0.854858i \(0.326356\pi\)
−0.738685 + 0.674050i \(0.764553\pi\)
\(450\) 0.00460483 0.0966672i 0.000217074 0.00455694i
\(451\) −5.31377 + 1.02414i −0.250216 + 0.0482251i
\(452\) 0.727633 7.62012i 0.0342250 0.358420i
\(453\) 3.47196 6.73466i 0.163127 0.316422i
\(454\) −0.709536 0.208339i −0.0333002 0.00977782i
\(455\) 29.5161 14.3220i 1.38374 0.671425i
\(456\) −0.454532 1.54799i −0.0212854 0.0724914i
\(457\) 0.473715 + 4.96096i 0.0221594 + 0.232064i 0.999766 + 0.0216240i \(0.00688366\pi\)
−0.977607 + 0.210440i \(0.932510\pi\)
\(458\) −0.0875288 0.0350412i −0.00408995 0.00163737i
\(459\) 5.36100 + 3.09518i 0.250230 + 0.144470i
\(460\) 6.13132 + 23.8232i 0.285874 + 1.11076i
\(461\) 9.45008i 0.440134i −0.975485 0.220067i \(-0.929372\pi\)
0.975485 0.220067i \(-0.0706276\pi\)
\(462\) −0.0431568 0.161348i −0.00200783 0.00750658i
\(463\) 10.5113 23.0165i 0.488501 1.06967i −0.491537 0.870857i \(-0.663565\pi\)
0.980038 0.198811i \(-0.0637080\pi\)
\(464\) 24.1687 + 23.0448i 1.12200 + 1.06983i
\(465\) 1.00932 + 2.91625i 0.0468062 + 0.135238i
\(466\) 0.463106 0.441571i 0.0214530 0.0204554i
\(467\) −34.8924 17.9883i −1.61463 0.832398i −0.999016 0.0443480i \(-0.985879\pi\)
−0.615611 0.788050i \(-0.711091\pi\)
\(468\) 8.76391 4.00234i 0.405112 0.185008i
\(469\) 26.9861 29.6594i 1.24610 1.36954i
\(470\) −0.809165 + 1.25909i −0.0373240 + 0.0580773i
\(471\) −1.51051 3.77307i −0.0696006 0.173854i
\(472\) 0.597688 0.760022i 0.0275108 0.0349828i
\(473\) 2.03551 1.04938i 0.0935928 0.0482505i
\(474\) 0.186589 0.539114i 0.00857033 0.0247623i
\(475\) −4.44545 9.73418i −0.203971 0.446635i
\(476\) 5.40784 + 32.2462i 0.247868 + 1.47800i
\(477\) −0.942510 + 3.20990i −0.0431546 + 0.146971i
\(478\) −1.25661 0.242192i −0.0574761 0.0110776i
\(479\) 5.27644 21.7498i 0.241087 0.993773i −0.714634 0.699498i \(-0.753407\pi\)
0.955721 0.294275i \(-0.0950780\pi\)
\(480\) 1.51385 1.07801i 0.0690974 0.0492040i
\(481\) 34.3702 27.0290i 1.56715 1.23242i
\(482\) 0.413043 0.0188136
\(483\) 7.46657 10.2592i 0.339741 0.466808i
\(484\) −19.7808 −0.899126
\(485\) −0.786567 + 0.618563i −0.0357162 + 0.0280875i
\(486\) −0.0492190 + 0.0350487i −0.00223262 + 0.00158984i
\(487\) −4.96114 + 20.4501i −0.224811 + 0.926683i 0.741838 + 0.670579i \(0.233954\pi\)
−0.966649 + 0.256104i \(0.917561\pi\)
\(488\) −0.0304363 0.00586611i −0.00137778 0.000265546i
\(489\) −1.02684 + 3.49711i −0.0464355 + 0.158145i
\(490\) −1.05588 0.257140i −0.0476998 0.0116164i
\(491\) 13.9701 + 30.5902i 0.630461 + 1.38052i 0.907661 + 0.419705i \(0.137867\pi\)
−0.277199 + 0.960812i \(0.589406\pi\)
\(492\) −3.38204 + 9.77177i −0.152474 + 0.440545i
\(493\) 46.1886 23.8119i 2.08023 1.07243i
\(494\) −1.20437 + 1.53148i −0.0541871 + 0.0689045i
\(495\) −0.997685 2.49210i −0.0448426 0.112011i
\(496\) −2.58316 + 4.01947i −0.115987 + 0.180480i
\(497\) 4.15816 19.0743i 0.186519 0.855597i
\(498\) −0.340066 + 0.155303i −0.0152387 + 0.00695929i
\(499\) −13.5187 6.96937i −0.605180 0.311992i 0.128266 0.991740i \(-0.459059\pi\)
−0.733446 + 0.679748i \(0.762089\pi\)
\(500\) −12.6156 + 12.0290i −0.564188 + 0.537952i
\(501\) 6.75536 + 19.5183i 0.301807 + 0.872014i
\(502\) −1.11785 1.06587i −0.0498922 0.0475721i
\(503\) −7.73789 + 16.9436i −0.345016 + 0.755479i −1.00000 0.000163655i \(-0.999948\pi\)
0.654984 + 0.755642i \(0.272675\pi\)
\(504\) −0.617029 0.165624i −0.0274847 0.00737748i
\(505\) 5.72481i 0.254751i
\(506\) −0.190437 0.235352i −0.00846596 0.0104627i
\(507\) −8.91240 5.14558i −0.395814 0.228523i
\(508\) 27.2437 + 10.9067i 1.20874 + 0.483908i
\(509\) −1.02115 10.6939i −0.0452616 0.474001i −0.989479 0.144678i \(-0.953785\pi\)
0.944217 0.329323i \(-0.106821\pi\)
\(510\) −0.270757 0.922114i −0.0119893 0.0408319i
\(511\) 5.10634 + 3.45936i 0.225891 + 0.153033i
\(512\) 4.60422 + 1.35192i 0.203480 + 0.0597470i
\(513\) −3.06156 + 5.93860i −0.135171 + 0.262196i
\(514\) −0.0305124 + 0.319540i −0.00134584 + 0.0140943i
\(515\) 23.9259 4.61134i 1.05430 0.203200i
\(516\) 0.208215 4.37097i 0.00916615 0.192421i
\(517\) −1.43341 + 9.96956i −0.0630411 + 0.438461i
\(518\) −1.44796 0.0351067i −0.0636198 0.00154250i
\(519\) −8.42450 5.41410i −0.369794 0.237652i
\(520\) −2.82956 0.979319i −0.124084 0.0429460i
\(521\) −16.0148 1.52923i −0.701621 0.0669966i −0.261852 0.965108i \(-0.584333\pi\)
−0.439768 + 0.898111i \(0.644939\pi\)
\(522\) 0.0241346 + 0.506648i 0.00105634 + 0.0221754i
\(523\) −8.49877 35.0324i −0.371625 1.53186i −0.783951 0.620823i \(-0.786799\pi\)
0.412326 0.911037i \(-0.364717\pi\)
\(524\) −26.5360 22.9936i −1.15923 1.00448i
\(525\) −4.20741 0.504938i −0.183626 0.0220373i
\(526\) −0.469934 0.214612i −0.0204901 0.00935752i
\(527\) 4.59601 + 5.84430i 0.200205 + 0.254582i
\(528\) 2.07809 3.59936i 0.0904373 0.156642i
\(529\) 4.79899 22.4938i 0.208652 0.977990i
\(530\) 0.449787 0.259685i 0.0195375 0.0112800i
\(531\) −3.96339 + 0.569849i −0.171996 + 0.0247294i
\(532\) −34.4866 + 7.48617i −1.49518 + 0.324567i
\(533\) 23.9851 7.04267i 1.03891 0.305052i
\(534\) 0.0769826 0.399424i 0.00333136 0.0172848i
\(535\) 17.5605 + 18.4169i 0.759206 + 0.796233i
\(536\) −3.65558 + 0.174137i −0.157897 + 0.00752157i
\(537\) −17.1425 12.2071i −0.739752 0.526775i
\(538\) 0.782966 0.678444i 0.0337561 0.0292498i
\(539\) −7.18240 + 1.37773i −0.309368 + 0.0593429i
\(540\) −5.07715 0.729984i −0.218486 0.0314135i
\(541\) 1.72591 0.690950i 0.0742027 0.0297063i −0.334264 0.942479i \(-0.608488\pi\)
0.408467 + 0.912773i \(0.366064\pi\)
\(542\) −0.0118448 0.0229758i −0.000508779 0.000986895i
\(543\) −3.74619 19.4371i −0.160765 0.834126i
\(544\) 2.59723 3.64730i 0.111355 0.156377i
\(545\) 25.2411 + 39.2760i 1.08121 + 1.68240i
\(546\) 0.269299 + 0.722991i 0.0115249 + 0.0309412i
\(547\) 11.5186 13.2932i 0.492500 0.568375i −0.454032 0.890985i \(-0.650015\pi\)
0.946532 + 0.322610i \(0.104560\pi\)
\(548\) 16.6862 17.5000i 0.712800 0.747563i
\(549\) 0.0744591 + 0.104563i 0.00317784 + 0.00446265i
\(550\) −0.0375784 + 0.0938663i −0.00160235 + 0.00400247i
\(551\) 28.0434 + 48.5726i 1.19469 + 2.06926i
\(552\) −1.14386 + 0.180727i −0.0486860 + 0.00769223i
\(553\) −22.9590 9.84360i −0.976317 0.418593i
\(554\) 0.147519 + 1.02602i 0.00626749 + 0.0435914i
\(555\) −23.1734 + 2.21279i −0.983657 + 0.0939279i
\(556\) 24.8147 + 6.01997i 1.05238 + 0.255304i
\(557\) 34.7839 12.0388i 1.47384 0.510101i 0.532170 0.846638i \(-0.321377\pi\)
0.941670 + 0.336537i \(0.109256\pi\)
\(558\) −0.0705259 + 0.0171094i −0.00298560 + 0.000724298i
\(559\) −8.89930 + 5.71924i −0.376400 + 0.241898i
\(560\) −14.0647 23.0976i −0.594344 0.976051i
\(561\) −4.23528 4.88778i −0.178814 0.206362i
\(562\) −0.0943202 0.00449303i −0.00397866 0.000189527i
\(563\) −9.38864 7.38331i −0.395684 0.311169i 0.400417 0.916333i \(-0.368865\pi\)
−0.796101 + 0.605164i \(0.793108\pi\)
\(564\) 15.1283 + 11.8970i 0.637015 + 0.500954i
\(565\) 9.84081 + 0.468776i 0.414006 + 0.0197215i
\(566\) 0.372695 + 0.430113i 0.0156655 + 0.0180790i
\(567\) 1.37603 + 2.25976i 0.0577879 + 0.0949012i
\(568\) −1.49890 + 0.963282i −0.0628923 + 0.0404184i
\(569\) 9.99615 2.42504i 0.419061 0.101663i −0.0206836 0.999786i \(-0.506584\pi\)
0.439744 + 0.898123i \(0.355069\pi\)
\(570\) 0.980218 0.339257i 0.0410568 0.0142099i
\(571\) 10.9246 + 2.65028i 0.457180 + 0.110911i 0.457734 0.889089i \(-0.348661\pi\)
−0.000554188 1.00000i \(0.500176\pi\)
\(572\) −10.0203 + 0.956819i −0.418968 + 0.0400066i
\(573\) 0.741443 + 5.15685i 0.0309742 + 0.215431i
\(574\) −0.761046 0.326296i −0.0317654 0.0136193i
\(575\) −7.33935 + 2.26632i −0.306072 + 0.0945119i
\(576\) −3.95626 6.85244i −0.164844 0.285518i
\(577\) −9.41482 + 23.5171i −0.391944 + 0.979029i 0.592852 + 0.805312i \(0.298002\pi\)
−0.984796 + 0.173717i \(0.944422\pi\)
\(578\) −0.747254 1.04937i −0.0310817 0.0436481i
\(579\) −8.89467 + 9.32846i −0.369650 + 0.387678i
\(580\) −28.1975 + 32.5416i −1.17084 + 1.35122i
\(581\) 5.71392 + 15.3403i 0.237053 + 0.636422i
\(582\) −0.0127223 0.0197964i −0.000527358 0.000820585i
\(583\) 2.02739 2.84707i 0.0839660 0.117914i
\(584\) −0.106533 0.552747i −0.00440838 0.0228728i
\(585\) 5.68201 + 11.0216i 0.234922 + 0.455686i
\(586\) 0.210902 0.0844325i 0.00871229 0.00348788i
\(587\) −35.6346 5.12347i −1.47080 0.211468i −0.640141 0.768257i \(-0.721124\pi\)
−0.830654 + 0.556789i \(0.812033\pi\)
\(588\) −4.58224 + 13.2018i −0.188968 + 0.544434i
\(589\) −6.06466 + 5.25506i −0.249890 + 0.216531i
\(590\) 0.506371 + 0.360585i 0.0208470 + 0.0148451i
\(591\) −12.4775 + 0.594376i −0.513256 + 0.0244494i
\(592\) −24.8720 26.0850i −1.02223 1.07209i
\(593\) −3.12451 + 16.2115i −0.128308 + 0.665725i 0.859635 + 0.510908i \(0.170691\pi\)
−0.987943 + 0.154817i \(0.950521\pi\)
\(594\) 0.0605704 0.0177851i 0.00248524 0.000729731i
\(595\) −41.1237 + 8.92693i −1.68591 + 0.365969i
\(596\) −28.0852 + 4.03804i −1.15042 + 0.165405i
\(597\) 5.78069 3.33748i 0.236588 0.136594i
\(598\) 0.979047 + 0.998623i 0.0400362 + 0.0408367i
\(599\) 0.976173 1.69078i 0.0398853 0.0690834i −0.845394 0.534144i \(-0.820634\pi\)
0.885279 + 0.465060i \(0.153967\pi\)
\(600\) 0.239075 + 0.304009i 0.00976021 + 0.0124111i
\(601\) 13.9103 + 6.35261i 0.567412 + 0.259128i 0.678399 0.734693i \(-0.262674\pi\)
−0.110987 + 0.993822i \(0.535401\pi\)
\(602\) 0.347919 + 0.0417544i 0.0141801 + 0.00170178i
\(603\) 11.4541 + 9.92507i 0.466449 + 0.404180i
\(604\) 3.56614 + 14.6998i 0.145104 + 0.598128i
\(605\) −1.21137 25.4297i −0.0492490 1.03386i
\(606\) −0.134018 0.0127972i −0.00544412 0.000519851i
\(607\) 22.7846 + 7.88581i 0.924796 + 0.320075i 0.747637 0.664107i \(-0.231188\pi\)
0.177159 + 0.984182i \(0.443309\pi\)
\(608\) 4.06550 + 2.61274i 0.164878 + 0.105961i
\(609\) 22.2034 + 0.538334i 0.899727 + 0.0218144i
\(610\) 0.00283612 0.0197256i 0.000114831 0.000798668i
\(611\) 2.21380 46.4734i 0.0895608 1.88011i
\(612\) −12.1348 + 2.33879i −0.490519 + 0.0945399i
\(613\) −4.64741 + 48.6699i −0.187707 + 1.96576i 0.0639830 + 0.997951i \(0.479620\pi\)
−0.251690 + 0.967808i \(0.580986\pi\)
\(614\) −0.613040 + 1.18913i −0.0247403 + 0.0479895i
\(615\) −12.7695 3.74946i −0.514915 0.151193i
\(616\) 0.552599 + 0.374365i 0.0222649 + 0.0150836i
\(617\) 5.74539 + 19.5670i 0.231301 + 0.787738i 0.990576 + 0.136968i \(0.0437357\pi\)
−0.759275 + 0.650770i \(0.774446\pi\)
\(618\) 0.0544682 + 0.570416i 0.00219103 + 0.0229455i
\(619\) −13.0178 5.21153i −0.523229 0.209469i 0.0949858 0.995479i \(-0.469719\pi\)
−0.618214 + 0.786009i \(0.712144\pi\)
\(620\) −5.33530 3.08034i −0.214271 0.123709i
\(621\) 3.94486 + 2.72728i 0.158302 + 0.109442i
\(622\) 0.685413i 0.0274826i
\(623\) −17.2026 4.61756i −0.689209 0.184999i
\(624\) −7.97543 + 17.4638i −0.319273 + 0.699110i
\(625\) −22.0326 21.0081i −0.881305 0.840323i
\(626\) −0.0397269 0.114783i −0.00158780 0.00458766i
\(627\) 5.05196 4.81704i 0.201756 0.192374i
\(628\) 7.21161 + 3.71784i 0.287775 + 0.148358i
\(629\) −51.0171 + 23.2987i −2.03419 + 0.928981i
\(630\) 0.0874879 0.401323i 0.00348560 0.0159891i
\(631\) −19.2562 + 29.9633i −0.766579 + 1.19282i 0.210009 + 0.977699i \(0.432651\pi\)
−0.976588 + 0.215120i \(0.930986\pi\)
\(632\) 0.847346 + 2.11657i 0.0337056 + 0.0841925i
\(633\) −5.63426 + 7.16454i −0.223942 + 0.284765i
\(634\) 1.60545 0.827667i 0.0637606 0.0328709i
\(635\) −12.3531 + 35.6918i −0.490216 + 1.41639i
\(636\) −2.77439 6.07507i −0.110012 0.240892i
\(637\) 32.4226 9.48908i 1.28463 0.375971i
\(638\) 0.149298 0.508462i 0.00591076 0.0201302i
\(639\) 7.24537 + 1.39643i 0.286622 + 0.0552419i
\(640\) −1.16590 + 4.80590i −0.0460862 + 0.189970i
\(641\) 27.7828 19.7840i 1.09735 0.781423i 0.119946 0.992780i \(-0.461728\pi\)
0.977409 + 0.211358i \(0.0677884\pi\)
\(642\) −0.470396 + 0.369924i −0.0185651 + 0.0145997i
\(643\) −43.1276 −1.70078 −0.850392 0.526149i \(-0.823635\pi\)
−0.850392 + 0.526149i \(0.823635\pi\)
\(644\) 2.14701 + 25.2397i 0.0846040 + 0.994583i
\(645\) 5.63197 0.221759
\(646\) 1.96441 1.54483i 0.0772885 0.0607803i
\(647\) −9.66368 + 6.88148i −0.379919 + 0.270539i −0.754023 0.656848i \(-0.771889\pi\)
0.374105 + 0.927386i \(0.377950\pi\)
\(648\) 0.0569288 0.234664i 0.00223638 0.00921847i
\(649\) 4.10779 + 0.791711i 0.161245 + 0.0310774i
\(650\) 0.131584 0.448135i 0.00516116 0.0175773i
\(651\) 0.525578 + 3.13395i 0.0205990 + 0.122829i
\(652\) −3.02264 6.61866i −0.118376 0.259207i
\(653\) 9.74776 28.1643i 0.381459 1.10215i −0.576956 0.816775i \(-0.695759\pi\)
0.958415 0.285379i \(-0.0921193\pi\)
\(654\) −0.975878 + 0.503100i −0.0381599 + 0.0196728i
\(655\) 27.9350 35.5222i 1.09151 1.38797i
\(656\) −7.65825 19.1294i −0.299005 0.746877i
\(657\) −1.26035 + 1.96114i −0.0491709 + 0.0765114i
\(658\) −1.03719 + 1.13993i −0.0404338 + 0.0444393i
\(659\) 26.6596 12.1750i 1.03851 0.474272i 0.178175 0.983999i \(-0.442981\pi\)
0.860337 + 0.509726i \(0.170253\pi\)
\(660\) 4.76324 + 2.45562i 0.185409 + 0.0955849i
\(661\) 29.6610 28.2817i 1.15368 1.10003i 0.160076 0.987105i \(-0.448826\pi\)
0.993603 0.112926i \(-0.0360224\pi\)
\(662\) 0.257024 + 0.742623i 0.00998953 + 0.0288628i
\(663\) 21.6217 + 20.6163i 0.839718 + 0.800669i
\(664\) 0.620644 1.35902i 0.0240857 0.0527403i
\(665\) −11.7360 43.8767i −0.455102 1.70146i
\(666\) 0.547439i 0.0212128i
\(667\) 37.1635 15.4808i 1.43898 0.599420i
\(668\) −35.7090 20.6166i −1.38162 0.797680i
\(669\) −25.1026 10.0496i −0.970522 0.388538i
\(670\) −0.223662 2.34229i −0.00864081 0.0904906i
\(671\) −0.0377835 0.128679i −0.00145862 0.00496759i
\(672\) 1.72172 0.835420i 0.0664167 0.0322270i
\(673\) −30.1895 8.86444i −1.16372 0.341699i −0.357843 0.933782i \(-0.616488\pi\)
−0.805877 + 0.592083i \(0.798306\pi\)
\(674\) −0.250382 + 0.485674i −0.00964436 + 0.0187075i
\(675\) 0.152248 1.59441i 0.00586001 0.0613688i
\(676\) 20.1735 3.88812i 0.775903 0.149543i
\(677\) 1.48490 31.1719i 0.0570694 1.19803i −0.770786 0.637094i \(-0.780136\pi\)
0.827856 0.560941i \(-0.189561\pi\)
\(678\) −0.0329722 + 0.229326i −0.00126629 + 0.00880723i
\(679\) −0.904579 + 0.493420i −0.0347146 + 0.0189357i
\(680\) 3.23097 + 2.07642i 0.123902 + 0.0796271i
\(681\) −11.5655 4.00286i −0.443191 0.153390i
\(682\) 0.0754768 + 0.00720716i 0.00289016 + 0.000275976i
\(683\) 1.71514 + 36.0053i 0.0656281 + 1.37770i 0.756153 + 0.654395i \(0.227077\pi\)
−0.690525 + 0.723309i \(0.742620\pi\)
\(684\) −3.14462 12.9623i −0.120237 0.495625i
\(685\) 23.5194 + 20.3797i 0.898632 + 0.778669i
\(686\) −1.02811 0.441873i −0.0392535 0.0168708i
\(687\) −1.41937 0.648205i −0.0541524 0.0247306i
\(688\) 5.39027 + 6.85428i 0.205502 + 0.261317i
\(689\) −8.07262 + 13.9822i −0.307542 + 0.532679i
\(690\) −0.151056 0.729061i −0.00575059 0.0277549i
\(691\) −8.94433 + 5.16401i −0.340258 + 0.196448i −0.660386 0.750926i \(-0.729607\pi\)
0.320128 + 0.947374i \(0.396274\pi\)
\(692\) 19.7884 2.84514i 0.752242 0.108156i
\(693\) −0.586379 2.70127i −0.0222747 0.102613i
\(694\) −0.298285 + 0.0875844i −0.0113228 + 0.00332466i
\(695\) −6.21949 + 32.2698i −0.235919 + 1.22406i
\(696\) −1.39882 1.46704i −0.0530220 0.0556079i
\(697\) −32.0279 + 1.52567i −1.21314 + 0.0577891i
\(698\) 1.38072 + 0.983207i 0.0522611 + 0.0372149i
\(699\) 8.00348 6.93505i 0.302719 0.262308i
\(700\) 7.00800 4.73865i 0.264878 0.179104i
\(701\) −26.9639 3.87683i −1.01841 0.146426i −0.387168 0.922009i \(-0.626547\pi\)
−0.631245 + 0.775583i \(0.717456\pi\)
\(702\) −0.270718 + 0.108379i −0.0102176 + 0.00409050i
\(703\) −27.7382 53.8046i −1.04617 2.02928i
\(704\) 1.56448 + 8.11732i 0.0589637 + 0.305933i
\(705\) −14.3681 + 20.1771i −0.541133 + 0.759914i
\(706\) 0.717902 + 1.11708i 0.0270186 + 0.0420418i
\(707\) −0.980130 + 5.81294i −0.0368616 + 0.218618i
\(708\) 5.23474 6.04121i 0.196734 0.227043i
\(709\) 9.22554 9.67546i 0.346472 0.363370i −0.527322 0.849666i \(-0.676804\pi\)
0.873794 + 0.486296i \(0.161652\pi\)
\(710\) −0.664475 0.933124i −0.0249373 0.0350195i
\(711\) 3.50911 8.76532i 0.131602 0.328725i
\(712\) 0.812807 + 1.40782i 0.0304612 + 0.0527604i
\(713\) 3.18120 + 4.80194i 0.119137 + 0.179834i
\(714\) −0.117053 0.982666i −0.00438059 0.0367753i
\(715\) −1.84370 12.8232i −0.0689505 0.479561i
\(716\) 41.8222 3.99354i 1.56297 0.149246i
\(717\) −20.5827 4.99332i −0.768676 0.186479i
\(718\) −0.421013 + 0.145714i −0.0157121 + 0.00543800i
\(719\) −23.9506 + 5.81034i −0.893205 + 0.216689i −0.655991 0.754768i \(-0.727749\pi\)
−0.237214 + 0.971458i \(0.576234\pi\)
\(720\) 8.59865 5.52601i 0.320453 0.205942i
\(721\) 25.0838 0.586040i 0.934168 0.0218253i
\(722\) 1.01454 + 1.17085i 0.0377574 + 0.0435744i
\(723\) 6.82814 + 0.325265i 0.253941 + 0.0120967i
\(724\) 31.0628 + 24.4280i 1.15444 + 0.907860i
\(725\) −10.5687 8.31130i −0.392511 0.308674i
\(726\) 0.598019 + 0.0284872i 0.0221946 + 0.00105726i
\(727\) −7.54172 8.70360i −0.279707 0.322799i 0.598461 0.801152i \(-0.295779\pi\)
−0.878167 + 0.478353i \(0.841234\pi\)
\(728\) −2.70545 1.47884i −0.100271 0.0548094i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) 0.351716 0.0853253i 0.0130176 0.00315803i
\(731\) 12.8228 4.43800i 0.474267 0.164145i
\(732\) −0.249038 0.0604160i −0.00920471 0.00223304i
\(733\) −20.6096 + 1.96798i −0.761233 + 0.0726889i −0.468450 0.883490i \(-0.655187\pi\)
−0.292783 + 0.956179i \(0.594581\pi\)
\(734\) 0.192536 + 1.33912i 0.00710664 + 0.0494278i
\(735\) −17.2526 5.08234i −0.636371 0.187465i
\(736\) 2.23496 2.65292i 0.0823819 0.0977880i
\(737\) −7.91722 13.7130i −0.291634 0.505126i
\(738\) 0.116320 0.290553i 0.00428180 0.0106954i
\(739\) 10.3867 + 14.5861i 0.382082 + 0.536559i 0.960170 0.279415i \(-0.0901406\pi\)
−0.578089 + 0.815974i \(0.696201\pi\)
\(740\) 32.0698 33.6339i 1.17891 1.23641i
\(741\) −21.1158 + 24.3689i −0.775708 + 0.895215i
\(742\) 0.501172 0.186676i 0.0183986 0.00685308i
\(743\) 21.2275 + 33.0306i 0.778761 + 1.21178i 0.972996 + 0.230821i \(0.0741411\pi\)
−0.194235 + 0.980955i \(0.562222\pi\)
\(744\) 0.168229 0.236244i 0.00616757 0.00866114i
\(745\) −6.91114 35.8584i −0.253205 1.31375i
\(746\) 0.413975 + 0.802999i 0.0151567 + 0.0293999i
\(747\) −5.74403 + 2.29956i −0.210163 + 0.0841366i
\(748\) 12.7799 + 1.83747i 0.467279 + 0.0671846i
\(749\) 14.6777 + 21.7069i 0.536312 + 0.793154i
\(750\) 0.398724 0.345496i 0.0145593 0.0126157i
\(751\) 22.9084 + 16.3130i 0.835940 + 0.595270i 0.915845 0.401532i \(-0.131522\pi\)
−0.0799048 + 0.996802i \(0.525462\pi\)
\(752\) −38.3076 + 1.82482i −1.39694 + 0.0665443i
\(753\) −17.6402 18.5005i −0.642845 0.674196i
\(754\) −0.463269 + 2.40367i −0.0168713 + 0.0875364i
\(755\) −18.6794 + 5.48476i −0.679812 + 0.199611i
\(756\) −5.03033 1.61047i −0.182951 0.0585722i
\(757\) 14.9035 2.14280i 0.541678 0.0778816i 0.133955 0.990987i \(-0.457232\pi\)
0.407723 + 0.913106i \(0.366323\pi\)
\(758\) 1.30768 0.754988i 0.0474970 0.0274224i
\(759\) −2.96284 4.04065i −0.107544 0.146666i
\(760\) −2.07264 + 3.58992i −0.0751825 + 0.130220i
\(761\) −4.46146 5.67320i −0.161728 0.205653i 0.698435 0.715674i \(-0.253880\pi\)
−0.860162 + 0.510020i \(0.829638\pi\)
\(762\) −0.807935 0.368972i −0.0292684 0.0133664i
\(763\) 18.9054 + 44.2021i 0.684421 + 1.60022i
\(764\) −7.86036 6.81104i −0.284378 0.246415i
\(765\) −3.74982 15.4570i −0.135575 0.558848i
\(766\) −0.0340219 0.714207i −0.00122926 0.0258053i
\(767\) −19.2369 1.83690i −0.694603 0.0663265i
\(768\) 14.8448 + 5.13782i 0.535664 + 0.185395i
\(769\) 12.2924 + 7.89985i 0.443276 + 0.284876i 0.743178 0.669094i \(-0.233318\pi\)
−0.299902 + 0.953970i \(0.596954\pi\)
\(770\) −0.223513 + 0.366332i −0.00805484 + 0.0132017i
\(771\) −0.756041 + 5.25838i −0.0272282 + 0.189376i
\(772\) 1.22436