Properties

Label 546.2.bw.a.527.8
Level $546$
Weight $2$
Character 546.527
Analytic conductor $4.360$
Analytic rank $0$
Dimension $152$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bw (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(152\)
Relative dimension: \(38\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 527.8
Character \(\chi\) \(=\) 546.527
Dual form 546.2.bw.a.431.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 - 0.258819i) q^{2} +(-0.701344 - 1.58370i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-0.996438 - 3.71876i) q^{5} +(0.267553 + 1.71126i) q^{6} +(0.958213 - 2.46614i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(-2.01623 + 2.22144i) q^{9} +O(q^{10})\) \(q+(-0.965926 - 0.258819i) q^{2} +(-0.701344 - 1.58370i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-0.996438 - 3.71876i) q^{5} +(0.267553 + 1.71126i) q^{6} +(0.958213 - 2.46614i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(-2.01623 + 2.22144i) q^{9} +3.84994i q^{10} +(-2.84263 - 2.84263i) q^{11} +(0.184470 - 1.72220i) q^{12} +(3.45190 - 1.04134i) q^{13} +(-1.56385 + 2.13410i) q^{14} +(-5.19056 + 4.18619i) q^{15} +(0.500000 + 0.866025i) q^{16} +(2.38444 - 4.12997i) q^{17} +(2.52248 - 1.62391i) q^{18} +(-1.21321 - 1.21321i) q^{19} +(0.996438 - 3.71876i) q^{20} +(-4.57767 + 0.212084i) q^{21} +(2.01004 + 3.48150i) q^{22} +(3.15548 + 5.46546i) q^{23} +(-0.623923 + 1.61577i) q^{24} +(-8.50614 + 4.91102i) q^{25} +(-3.60380 + 0.112441i) q^{26} +(4.93218 + 1.63512i) q^{27} +(2.06290 - 1.65663i) q^{28} +(7.51497 + 4.33877i) q^{29} +(6.09717 - 2.70013i) q^{30} +(-0.191374 + 0.714216i) q^{31} +(-0.258819 - 0.965926i) q^{32} +(-2.50823 + 6.49555i) q^{33} +(-3.37210 + 3.37210i) q^{34} +(-10.1258 - 1.10601i) q^{35} +(-2.85683 + 0.915707i) q^{36} +(-3.35910 - 0.900068i) q^{37} +(0.857872 + 1.48588i) q^{38} +(-4.07014 - 4.73645i) q^{39} +(-1.92497 + 3.33415i) q^{40} +(-0.359724 - 1.34251i) q^{41} +(4.47658 + 0.979929i) q^{42} +(3.59149 - 2.07355i) q^{43} +(-1.04048 - 3.88311i) q^{44} +(10.2701 + 5.28436i) q^{45} +(-1.63340 - 6.09593i) q^{46} +(-6.98738 + 1.87226i) q^{47} +(1.02086 - 1.39923i) q^{48} +(-5.16366 - 4.72617i) q^{49} +(9.48737 - 2.54213i) q^{50} +(-8.21295 - 0.879717i) q^{51} +(3.51010 + 0.824122i) q^{52} +(-4.91024 + 2.83493i) q^{53} +(-4.34092 - 2.85595i) q^{54} +(-7.73855 + 13.4036i) q^{55} +(-2.42138 + 1.06626i) q^{56} +(-1.07049 + 2.77225i) q^{57} +(-6.13595 - 6.13595i) q^{58} +(-4.89557 + 1.31176i) q^{59} +(-6.58826 + 1.03006i) q^{60} +6.70769 q^{61} +(0.369706 - 0.640349i) q^{62} +(3.54639 + 7.10092i) q^{63} +1.00000i q^{64} +(-7.31210 - 11.7991i) q^{65} +(4.10393 - 5.62504i) q^{66} +(6.85679 + 6.85679i) q^{67} +(4.12997 - 2.38444i) q^{68} +(6.44259 - 8.83051i) q^{69} +(9.49448 + 3.68906i) q^{70} +(-9.32653 - 2.49904i) q^{71} +(2.99649 - 0.145103i) q^{72} +(9.57915 + 2.56673i) q^{73} +(3.01168 + 1.73880i) q^{74} +(13.7433 + 10.0269i) q^{75} +(-0.444067 - 1.65728i) q^{76} +(-9.73417 + 4.28647i) q^{77} +(2.70557 + 5.62849i) q^{78} +(1.97302 - 3.41737i) q^{79} +(2.72232 - 2.72232i) q^{80} +(-0.869597 - 8.95789i) q^{81} +1.38987i q^{82} +(7.55428 - 7.55428i) q^{83} +(-4.07042 - 2.10516i) q^{84} +(-17.7343 - 4.75189i) q^{85} +(-4.00578 + 1.07335i) q^{86} +(1.60075 - 14.9445i) q^{87} +4.02009i q^{88} +(-2.88401 + 10.7633i) q^{89} +(-8.55242 - 7.76238i) q^{90} +(0.739564 - 9.51068i) q^{91} +6.31097i q^{92} +(1.26533 - 0.197832i) q^{93} +7.23387 q^{94} +(-3.30276 + 5.72054i) q^{95} +(-1.34822 + 1.08734i) q^{96} +(-1.13852 + 4.24901i) q^{97} +(3.76449 + 5.90158i) q^{98} +(12.0462 - 0.583326i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 152 q + 12 q^{7} + O(q^{10}) \) \( 152 q + 12 q^{7} + 76 q^{16} - 8 q^{18} + 12 q^{19} + 8 q^{21} + 24 q^{27} + 16 q^{28} - 12 q^{31} - 48 q^{33} + 24 q^{36} - 36 q^{37} - 8 q^{39} + 84 q^{43} - 40 q^{45} - 16 q^{46} - 28 q^{49} + 4 q^{52} + 24 q^{54} + 16 q^{55} - 8 q^{57} - 16 q^{58} + 64 q^{61} - 100 q^{63} + 16 q^{66} - 112 q^{67} + 84 q^{69} + 16 q^{72} - 120 q^{73} - 48 q^{76} - 8 q^{78} + 32 q^{79} + 48 q^{81} - 8 q^{84} - 152 q^{85} + 48 q^{87} + 16 q^{91} - 12 q^{93} - 64 q^{94} - 100 q^{97} + 16 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(-1\) \(e\left(\frac{11}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.965926 0.258819i −0.683013 0.183013i
\(3\) −0.701344 1.58370i −0.404921 0.914352i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) −0.996438 3.71876i −0.445621 1.66308i −0.714293 0.699847i \(-0.753251\pi\)
0.268672 0.963232i \(-0.413415\pi\)
\(6\) 0.267553 + 1.71126i 0.109228 + 0.698620i
\(7\) 0.958213 2.46614i 0.362170 0.932112i
\(8\) −0.707107 0.707107i −0.250000 0.250000i
\(9\) −2.01623 + 2.22144i −0.672078 + 0.740480i
\(10\) 3.84994i 1.21746i
\(11\) −2.84263 2.84263i −0.857086 0.857086i 0.133908 0.990994i \(-0.457247\pi\)
−0.990994 + 0.133908i \(0.957247\pi\)
\(12\) 0.184470 1.72220i 0.0532520 0.497156i
\(13\) 3.45190 1.04134i 0.957385 0.288816i
\(14\) −1.56385 + 2.13410i −0.417955 + 0.570363i
\(15\) −5.19056 + 4.18619i −1.34020 + 1.08087i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 2.38444 4.12997i 0.578311 1.00166i −0.417362 0.908740i \(-0.637045\pi\)
0.995673 0.0929237i \(-0.0296213\pi\)
\(18\) 2.52248 1.62391i 0.594555 0.382759i
\(19\) −1.21321 1.21321i −0.278331 0.278331i 0.554112 0.832442i \(-0.313058\pi\)
−0.832442 + 0.554112i \(0.813058\pi\)
\(20\) 0.996438 3.71876i 0.222810 0.831539i
\(21\) −4.57767 + 0.212084i −0.998928 + 0.0462806i
\(22\) 2.01004 + 3.48150i 0.428543 + 0.742258i
\(23\) 3.15548 + 5.46546i 0.657964 + 1.13963i 0.981142 + 0.193289i \(0.0619153\pi\)
−0.323178 + 0.946338i \(0.604751\pi\)
\(24\) −0.623923 + 1.61577i −0.127358 + 0.329818i
\(25\) −8.50614 + 4.91102i −1.70123 + 0.982205i
\(26\) −3.60380 + 0.112441i −0.706763 + 0.0220515i
\(27\) 4.93218 + 1.63512i 0.949198 + 0.314680i
\(28\) 2.06290 1.65663i 0.389852 0.313074i
\(29\) 7.51497 + 4.33877i 1.39550 + 0.805689i 0.993917 0.110135i \(-0.0351284\pi\)
0.401578 + 0.915825i \(0.368462\pi\)
\(30\) 6.09717 2.70013i 1.11319 0.492974i
\(31\) −0.191374 + 0.714216i −0.0343717 + 0.128277i −0.980980 0.194109i \(-0.937818\pi\)
0.946608 + 0.322386i \(0.104485\pi\)
\(32\) −0.258819 0.965926i −0.0457532 0.170753i
\(33\) −2.50823 + 6.49555i −0.436626 + 1.13073i
\(34\) −3.37210 + 3.37210i −0.578311 + 0.578311i
\(35\) −10.1258 1.10601i −1.71157 0.186949i
\(36\) −2.85683 + 0.915707i −0.476138 + 0.152618i
\(37\) −3.35910 0.900068i −0.552232 0.147970i −0.0280970 0.999605i \(-0.508945\pi\)
−0.524135 + 0.851635i \(0.675611\pi\)
\(38\) 0.857872 + 1.48588i 0.139165 + 0.241041i
\(39\) −4.07014 4.73645i −0.651744 0.758439i
\(40\) −1.92497 + 3.33415i −0.304365 + 0.527175i
\(41\) −0.359724 1.34251i −0.0561795 0.209665i 0.932130 0.362123i \(-0.117948\pi\)
−0.988310 + 0.152458i \(0.951281\pi\)
\(42\) 4.47658 + 0.979929i 0.690751 + 0.151206i
\(43\) 3.59149 2.07355i 0.547696 0.316213i −0.200496 0.979695i \(-0.564255\pi\)
0.748192 + 0.663482i \(0.230922\pi\)
\(44\) −1.04048 3.88311i −0.156858 0.585401i
\(45\) 10.2701 + 5.28436i 1.53097 + 0.787746i
\(46\) −1.63340 6.09593i −0.240831 0.898795i
\(47\) −6.98738 + 1.87226i −1.01921 + 0.273098i −0.729475 0.684008i \(-0.760235\pi\)
−0.289740 + 0.957105i \(0.593569\pi\)
\(48\) 1.02086 1.39923i 0.147348 0.201962i
\(49\) −5.16366 4.72617i −0.737665 0.675167i
\(50\) 9.48737 2.54213i 1.34172 0.359512i
\(51\) −8.21295 0.879717i −1.15004 0.123185i
\(52\) 3.51010 + 0.824122i 0.486764 + 0.114285i
\(53\) −4.91024 + 2.83493i −0.674473 + 0.389407i −0.797769 0.602963i \(-0.793987\pi\)
0.123296 + 0.992370i \(0.460653\pi\)
\(54\) −4.34092 2.85595i −0.590724 0.388646i
\(55\) −7.73855 + 13.4036i −1.04347 + 1.80734i
\(56\) −2.42138 + 1.06626i −0.323571 + 0.142485i
\(57\) −1.07049 + 2.77225i −0.141790 + 0.367194i
\(58\) −6.13595 6.13595i −0.805689 0.805689i
\(59\) −4.89557 + 1.31176i −0.637349 + 0.170777i −0.563002 0.826455i \(-0.690354\pi\)
−0.0743468 + 0.997232i \(0.523687\pi\)
\(60\) −6.58826 + 1.03006i −0.850540 + 0.132981i
\(61\) 6.70769 0.858832 0.429416 0.903107i \(-0.358719\pi\)
0.429416 + 0.903107i \(0.358719\pi\)
\(62\) 0.369706 0.640349i 0.0469526 0.0813244i
\(63\) 3.54639 + 7.10092i 0.446804 + 0.894632i
\(64\) 1.00000i 0.125000i
\(65\) −7.31210 11.7991i −0.906954 1.46350i
\(66\) 4.10393 5.62504i 0.505159 0.692395i
\(67\) 6.85679 + 6.85679i 0.837690 + 0.837690i 0.988554 0.150864i \(-0.0482057\pi\)
−0.150864 + 0.988554i \(0.548206\pi\)
\(68\) 4.12997 2.38444i 0.500832 0.289155i
\(69\) 6.44259 8.83051i 0.775596 1.06307i
\(70\) 9.49448 + 3.68906i 1.13481 + 0.440927i
\(71\) −9.32653 2.49904i −1.10686 0.296581i −0.341302 0.939954i \(-0.610868\pi\)
−0.765553 + 0.643373i \(0.777535\pi\)
\(72\) 2.99649 0.145103i 0.353140 0.0171005i
\(73\) 9.57915 + 2.56673i 1.12115 + 0.300413i 0.771351 0.636410i \(-0.219581\pi\)
0.349804 + 0.936823i \(0.386248\pi\)
\(74\) 3.01168 + 1.73880i 0.350101 + 0.202131i
\(75\) 13.7433 + 10.0269i 1.58694 + 1.15781i
\(76\) −0.444067 1.65728i −0.0509380 0.190103i
\(77\) −9.73417 + 4.28647i −1.10931 + 0.488489i
\(78\) 2.70557 + 5.62849i 0.306346 + 0.637301i
\(79\) 1.97302 3.41737i 0.221982 0.384485i −0.733428 0.679768i \(-0.762081\pi\)
0.955410 + 0.295283i \(0.0954140\pi\)
\(80\) 2.72232 2.72232i 0.304365 0.304365i
\(81\) −0.869597 8.95789i −0.0966219 0.995321i
\(82\) 1.38987i 0.153485i
\(83\) 7.55428 7.55428i 0.829190 0.829190i −0.158215 0.987405i \(-0.550574\pi\)
0.987405 + 0.158215i \(0.0505738\pi\)
\(84\) −4.07042 2.10516i −0.444119 0.229692i
\(85\) −17.7343 4.75189i −1.92355 0.515415i
\(86\) −4.00578 + 1.07335i −0.431955 + 0.115742i
\(87\) 1.60075 14.9445i 0.171618 1.60221i
\(88\) 4.02009i 0.428543i
\(89\) −2.88401 + 10.7633i −0.305705 + 1.14091i 0.626632 + 0.779315i \(0.284433\pi\)
−0.932337 + 0.361591i \(0.882234\pi\)
\(90\) −8.55242 7.76238i −0.901504 0.818227i
\(91\) 0.739564 9.51068i 0.0775273 0.996990i
\(92\) 6.31097i 0.657964i
\(93\) 1.26533 0.197832i 0.131208 0.0205142i
\(94\) 7.23387 0.746117
\(95\) −3.30276 + 5.72054i −0.338856 + 0.586915i
\(96\) −1.34822 + 1.08734i −0.137602 + 0.110976i
\(97\) −1.13852 + 4.24901i −0.115599 + 0.431422i −0.999331 0.0365717i \(-0.988356\pi\)
0.883732 + 0.467993i \(0.155023\pi\)
\(98\) 3.76449 + 5.90158i 0.380271 + 0.596149i
\(99\) 12.0462 0.583326i 1.21068 0.0586265i
\(100\) −9.82205 −0.982205
\(101\) 18.1691 1.80789 0.903944 0.427650i \(-0.140658\pi\)
0.903944 + 0.427650i \(0.140658\pi\)
\(102\) 7.70541 + 2.97541i 0.762950 + 0.294609i
\(103\) −5.23236 3.02090i −0.515559 0.297658i 0.219556 0.975600i \(-0.429539\pi\)
−0.735116 + 0.677941i \(0.762872\pi\)
\(104\) −3.17720 1.70452i −0.311550 0.167142i
\(105\) 5.35005 + 16.8119i 0.522111 + 1.64067i
\(106\) 5.47666 1.46747i 0.531940 0.142533i
\(107\) −2.61329 + 1.50878i −0.252636 + 0.145859i −0.620971 0.783834i \(-0.713261\pi\)
0.368335 + 0.929693i \(0.379928\pi\)
\(108\) 3.45383 + 3.88215i 0.332345 + 0.373560i
\(109\) 3.88505 14.4992i 0.372120 1.38877i −0.485386 0.874300i \(-0.661321\pi\)
0.857507 0.514473i \(-0.172012\pi\)
\(110\) 10.9440 10.9440i 1.04347 1.04347i
\(111\) 0.930441 + 5.95107i 0.0883136 + 0.564851i
\(112\) 2.61484 0.403232i 0.247079 0.0381018i
\(113\) 8.30792 4.79658i 0.781544 0.451224i −0.0554335 0.998462i \(-0.517654\pi\)
0.836977 + 0.547238i \(0.184321\pi\)
\(114\) 1.75153 2.40073i 0.164046 0.224849i
\(115\) 17.1805 17.1805i 1.60209 1.60209i
\(116\) 4.33877 + 7.51497i 0.402845 + 0.697748i
\(117\) −4.64656 + 9.76778i −0.429575 + 0.903031i
\(118\) 5.06827 0.466572
\(119\) −7.90026 9.83773i −0.724216 0.901823i
\(120\) 6.63037 + 0.710201i 0.605267 + 0.0648321i
\(121\) 5.16112i 0.469193i
\(122\) −6.47913 1.73608i −0.586593 0.157177i
\(123\) −1.87385 + 1.51126i −0.168959 + 0.136265i
\(124\) −0.522843 + 0.522843i −0.0469526 + 0.0469526i
\(125\) 13.1271 + 13.1271i 1.17413 + 1.17413i
\(126\) −1.58770 7.77684i −0.141444 0.692816i
\(127\) −14.7759 8.53085i −1.31115 0.756991i −0.328860 0.944379i \(-0.606664\pi\)
−0.982286 + 0.187388i \(0.939998\pi\)
\(128\) 0.258819 0.965926i 0.0228766 0.0853766i
\(129\) −5.80275 4.23358i −0.510903 0.372746i
\(130\) 4.00910 + 13.2896i 0.351622 + 1.16558i
\(131\) −4.76748 2.75250i −0.416536 0.240487i 0.277058 0.960853i \(-0.410641\pi\)
−0.693594 + 0.720366i \(0.743974\pi\)
\(132\) −5.41996 + 4.37120i −0.471747 + 0.380464i
\(133\) −4.15447 + 1.82944i −0.360238 + 0.158632i
\(134\) −4.84848 8.39782i −0.418845 0.725461i
\(135\) 1.16602 19.9709i 0.100355 1.71882i
\(136\) −4.60638 + 1.23428i −0.394994 + 0.105838i
\(137\) 9.77639 2.61958i 0.835254 0.223806i 0.184249 0.982880i \(-0.441015\pi\)
0.651004 + 0.759074i \(0.274348\pi\)
\(138\) −8.50857 + 6.86216i −0.724297 + 0.584146i
\(139\) −3.51840 6.09405i −0.298427 0.516890i 0.677349 0.735661i \(-0.263129\pi\)
−0.975776 + 0.218771i \(0.929795\pi\)
\(140\) −8.21616 6.02071i −0.694393 0.508843i
\(141\) 7.86567 + 9.75284i 0.662409 + 0.821338i
\(142\) 8.36194 + 4.82777i 0.701718 + 0.405137i
\(143\) −12.7726 6.85233i −1.06810 0.573021i
\(144\) −2.93194 0.635390i −0.244328 0.0529492i
\(145\) 8.64663 32.2697i 0.718064 2.67985i
\(146\) −8.58843 4.95853i −0.710784 0.410371i
\(147\) −3.86335 + 11.4924i −0.318644 + 0.947875i
\(148\) −2.45903 2.45903i −0.202131 0.202131i
\(149\) 13.4725 13.4725i 1.10371 1.10371i 0.109752 0.993959i \(-0.464994\pi\)
0.993959 0.109752i \(-0.0350055\pi\)
\(150\) −10.6799 13.2423i −0.872009 1.08123i
\(151\) 6.30222 + 1.68868i 0.512868 + 0.137422i 0.505965 0.862554i \(-0.331136\pi\)
0.00690207 + 0.999976i \(0.497803\pi\)
\(152\) 1.71574i 0.139165i
\(153\) 4.36689 + 13.6239i 0.353042 + 1.10142i
\(154\) 10.5119 1.62103i 0.847073 0.130626i
\(155\) 2.84669 0.228652
\(156\) −1.15662 6.13696i −0.0926040 0.491350i
\(157\) 6.02174 + 10.4300i 0.480588 + 0.832402i 0.999752 0.0222723i \(-0.00709009\pi\)
−0.519164 + 0.854674i \(0.673757\pi\)
\(158\) −2.79027 + 2.79027i −0.221982 + 0.221982i
\(159\) 7.93345 + 5.78810i 0.629163 + 0.459026i
\(160\) −3.33415 + 1.92497i −0.263587 + 0.152182i
\(161\) 16.5022 2.54478i 1.30055 0.200557i
\(162\) −1.47851 + 8.87773i −0.116162 + 0.697500i
\(163\) 6.60665 6.60665i 0.517473 0.517473i −0.399333 0.916806i \(-0.630758\pi\)
0.916806 + 0.399333i \(0.130758\pi\)
\(164\) 0.359724 1.34251i 0.0280898 0.104832i
\(165\) 26.6547 + 2.85507i 2.07506 + 0.222267i
\(166\) −9.25207 + 5.34168i −0.718100 + 0.414595i
\(167\) −1.42509 + 0.381851i −0.110277 + 0.0295485i −0.313535 0.949577i \(-0.601513\pi\)
0.203259 + 0.979125i \(0.434847\pi\)
\(168\) 3.38686 + 3.08693i 0.261302 + 0.238162i
\(169\) 10.8312 7.18921i 0.833171 0.553016i
\(170\) 15.9001 + 9.17994i 1.21948 + 0.704069i
\(171\) 5.14121 0.248959i 0.393158 0.0190384i
\(172\) 4.14709 0.316213
\(173\) −3.05789 −0.232487 −0.116243 0.993221i \(-0.537085\pi\)
−0.116243 + 0.993221i \(0.537085\pi\)
\(174\) −5.41412 + 14.0209i −0.410443 + 1.06292i
\(175\) 3.96056 + 25.6831i 0.299390 + 1.94146i
\(176\) 1.04048 3.88311i 0.0784288 0.292700i
\(177\) 5.51092 + 6.83314i 0.414226 + 0.513610i
\(178\) 5.57149 9.65010i 0.417601 0.723305i
\(179\) −22.1067 −1.65233 −0.826164 0.563429i \(-0.809482\pi\)
−0.826164 + 0.563429i \(0.809482\pi\)
\(180\) 6.25195 + 9.71141i 0.465993 + 0.723846i
\(181\) 8.17207i 0.607426i 0.952764 + 0.303713i \(0.0982263\pi\)
−0.952764 + 0.303713i \(0.901774\pi\)
\(182\) −3.17591 + 8.99520i −0.235414 + 0.666768i
\(183\) −4.70440 10.6230i −0.347759 0.785274i
\(184\) 1.63340 6.09593i 0.120416 0.449398i
\(185\) 13.3885i 0.984344i
\(186\) −1.27341 0.136400i −0.0933712 0.0100013i
\(187\) −18.5181 + 4.96190i −1.35417 + 0.362850i
\(188\) −6.98738 1.87226i −0.509607 0.136549i
\(189\) 8.75851 10.5966i 0.637088 0.770791i
\(190\) 4.67080 4.67080i 0.338856 0.338856i
\(191\) 1.35317i 0.0979122i −0.998801 0.0489561i \(-0.984411\pi\)
0.998801 0.0489561i \(-0.0155894\pi\)
\(192\) 1.58370 0.701344i 0.114294 0.0506151i
\(193\) −16.9546 + 16.9546i −1.22042 + 1.22042i −0.252934 + 0.967483i \(0.581396\pi\)
−0.967483 + 0.252934i \(0.918604\pi\)
\(194\) 2.19945 3.80956i 0.157911 0.273510i
\(195\) −13.5581 + 19.8555i −0.970912 + 1.42188i
\(196\) −2.10878 6.67481i −0.150627 0.476772i
\(197\) 2.18679 + 8.16122i 0.155803 + 0.581463i 0.999035 + 0.0439145i \(0.0139829\pi\)
−0.843233 + 0.537549i \(0.819350\pi\)
\(198\) −11.7867 2.55432i −0.837642 0.181528i
\(199\) −2.84037 1.63989i −0.201348 0.116249i 0.395936 0.918278i \(-0.370420\pi\)
−0.597284 + 0.802030i \(0.703754\pi\)
\(200\) 9.48737 + 2.54213i 0.670858 + 0.179756i
\(201\) 6.05016 15.6681i 0.426745 1.10514i
\(202\) −17.5500 4.70250i −1.23481 0.330867i
\(203\) 17.9009 14.3755i 1.25640 1.00896i
\(204\) −6.67277 4.86833i −0.467187 0.340851i
\(205\) −4.63402 + 2.67546i −0.323654 + 0.186862i
\(206\) 4.27220 + 4.27220i 0.297658 + 0.297658i
\(207\) −18.5034 4.00992i −1.28607 0.278709i
\(208\) 2.62778 + 2.46876i 0.182204 + 0.171178i
\(209\) 6.89745i 0.477106i
\(210\) −0.816512 17.6237i −0.0563447 1.21615i
\(211\) 2.78527 4.82423i 0.191746 0.332113i −0.754083 0.656779i \(-0.771918\pi\)
0.945829 + 0.324666i \(0.105252\pi\)
\(212\) −5.66985 −0.389407
\(213\) 2.58337 + 16.5231i 0.177009 + 1.13215i
\(214\) 2.91474 0.781003i 0.199248 0.0533882i
\(215\) −11.2897 11.2897i −0.769951 0.769951i
\(216\) −2.33137 4.64378i −0.158629 0.315969i
\(217\) 1.57798 + 1.15632i 0.107120 + 0.0784964i
\(218\) −7.50534 + 12.9996i −0.508326 + 0.880447i
\(219\) −2.65334 16.9707i −0.179296 1.14677i
\(220\) −13.4036 + 7.73855i −0.903668 + 0.521733i
\(221\) 3.93013 16.7392i 0.264369 1.12600i
\(222\) 0.641513 5.98911i 0.0430556 0.401963i
\(223\) −16.0081 + 4.28935i −1.07198 + 0.287236i −0.751307 0.659953i \(-0.770576\pi\)
−0.320674 + 0.947190i \(0.603909\pi\)
\(224\) −2.63011 0.287279i −0.175732 0.0191946i
\(225\) 6.24083 28.7977i 0.416055 1.91984i
\(226\) −9.26628 + 2.48289i −0.616384 + 0.165160i
\(227\) 5.98213 + 22.3256i 0.397048 + 1.48180i 0.818264 + 0.574842i \(0.194937\pi\)
−0.421217 + 0.906960i \(0.638397\pi\)
\(228\) −2.31320 + 1.86560i −0.153195 + 0.123552i
\(229\) −2.65046 9.89167i −0.175148 0.653660i −0.996526 0.0832768i \(-0.973461\pi\)
0.821379 0.570383i \(-0.193205\pi\)
\(230\) −21.0417 + 12.1484i −1.38745 + 0.801043i
\(231\) 13.6155 + 12.4097i 0.895834 + 0.816501i
\(232\) −2.24591 8.38186i −0.147451 0.550296i
\(233\) −3.27880 + 5.67905i −0.214801 + 0.372047i −0.953211 0.302305i \(-0.902244\pi\)
0.738410 + 0.674352i \(0.235577\pi\)
\(234\) 7.01632 8.23233i 0.458671 0.538164i
\(235\) 13.9250 + 24.1188i 0.908366 + 1.57334i
\(236\) −4.89557 1.31176i −0.318675 0.0853886i
\(237\) −6.79587 0.727928i −0.441439 0.0472840i
\(238\) 5.08487 + 11.5473i 0.329603 + 0.748498i
\(239\) −13.1617 + 13.1617i −0.851359 + 0.851359i −0.990301 0.138942i \(-0.955630\pi\)
0.138942 + 0.990301i \(0.455630\pi\)
\(240\) −6.22063 2.40207i −0.401540 0.155053i
\(241\) −3.42723 12.7906i −0.220767 0.823914i −0.984056 0.177857i \(-0.943084\pi\)
0.763289 0.646057i \(-0.223583\pi\)
\(242\) 1.33580 4.98526i 0.0858683 0.320465i
\(243\) −13.5768 + 7.65974i −0.870949 + 0.491373i
\(244\) 5.80903 + 3.35385i 0.371885 + 0.214708i
\(245\) −12.4302 + 23.9117i −0.794136 + 1.52766i
\(246\) 2.20114 0.974775i 0.140340 0.0621494i
\(247\) −5.45126 2.92452i −0.346856 0.186083i
\(248\) 0.640349 0.369706i 0.0406622 0.0234763i
\(249\) −17.2619 6.66560i −1.09393 0.422415i
\(250\) −9.28230 16.0774i −0.587064 1.01682i
\(251\) −9.38960 16.2633i −0.592666 1.02653i −0.993872 0.110540i \(-0.964742\pi\)
0.401206 0.915988i \(-0.368591\pi\)
\(252\) −0.479193 + 7.92278i −0.0301863 + 0.499088i
\(253\) 6.56641 24.5062i 0.412827 1.54069i
\(254\) 12.0644 + 12.0644i 0.756991 + 0.756991i
\(255\) 4.91225 + 31.4186i 0.307617 + 1.96751i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −8.74038 15.1388i −0.545210 0.944331i −0.998594 0.0530159i \(-0.983117\pi\)
0.453384 0.891315i \(-0.350217\pi\)
\(258\) 4.50929 + 5.59119i 0.280736 + 0.348092i
\(259\) −5.43842 + 7.42154i −0.337927 + 0.461152i
\(260\) −0.432891 13.8744i −0.0268468 0.860454i
\(261\) −24.7903 + 7.94608i −1.53448 + 0.491850i
\(262\) 3.89263 + 3.89263i 0.240487 + 0.240487i
\(263\) 10.5963i 0.653395i 0.945129 + 0.326698i \(0.105936\pi\)
−0.945129 + 0.326698i \(0.894064\pi\)
\(264\) 6.36663 2.81946i 0.391839 0.173526i
\(265\) 15.4352 + 15.4352i 0.948174 + 0.948174i
\(266\) 4.48640 0.691843i 0.275079 0.0424196i
\(267\) 19.0685 2.98134i 1.16698 0.182455i
\(268\) 2.50976 + 9.36655i 0.153308 + 0.572153i
\(269\) 1.00283 + 0.578986i 0.0611438 + 0.0353014i 0.530260 0.847835i \(-0.322094\pi\)
−0.469116 + 0.883136i \(0.655428\pi\)
\(270\) −6.29513 + 18.9886i −0.383110 + 1.15561i
\(271\) −0.518337 0.138888i −0.0314867 0.00843684i 0.243041 0.970016i \(-0.421855\pi\)
−0.274528 + 0.961579i \(0.588522\pi\)
\(272\) 4.76887 0.289155
\(273\) −15.5808 + 5.49900i −0.942992 + 0.332815i
\(274\) −10.1213 −0.611448
\(275\) 38.1401 + 10.2196i 2.29993 + 0.616265i
\(276\) 9.99470 4.42616i 0.601610 0.266423i
\(277\) −15.3811 8.88027i −0.924159 0.533564i −0.0391996 0.999231i \(-0.512481\pi\)
−0.884960 + 0.465668i \(0.845814\pi\)
\(278\) 1.82126 + 6.79703i 0.109232 + 0.407658i
\(279\) −1.20073 1.86515i −0.0718861 0.111664i
\(280\) 6.37793 + 7.94206i 0.381154 + 0.474629i
\(281\) 8.89317 + 8.89317i 0.530522 + 0.530522i 0.920728 0.390206i \(-0.127596\pi\)
−0.390206 + 0.920728i \(0.627596\pi\)
\(282\) −5.07343 11.4563i −0.302118 0.682213i
\(283\) 17.8969i 1.06386i −0.846788 0.531930i \(-0.821467\pi\)
0.846788 0.531930i \(-0.178533\pi\)
\(284\) −6.82749 6.82749i −0.405137 0.405137i
\(285\) 11.3760 + 1.21852i 0.673857 + 0.0721791i
\(286\) 10.5639 + 9.92464i 0.624657 + 0.586857i
\(287\) −3.65550 0.399280i −0.215778 0.0235688i
\(288\) 2.66759 + 1.37258i 0.157189 + 0.0808802i
\(289\) −2.87108 4.97286i −0.168887 0.292521i
\(290\) −16.7040 + 28.9322i −0.980893 + 1.69896i
\(291\) 7.52767 1.17694i 0.441280 0.0689934i
\(292\) 7.01242 + 7.01242i 0.410371 + 0.410371i
\(293\) 6.18403 23.0791i 0.361275 1.34830i −0.511126 0.859506i \(-0.670772\pi\)
0.872401 0.488791i \(-0.162562\pi\)
\(294\) 6.70615 10.1009i 0.391111 0.589095i
\(295\) 9.75627 + 16.8984i 0.568032 + 0.983860i
\(296\) 1.73880 + 3.01168i 0.101066 + 0.175051i
\(297\) −9.37231 18.6684i −0.543836 1.08325i
\(298\) −16.5004 + 9.52650i −0.955841 + 0.551855i
\(299\) 16.5838 + 15.5803i 0.959067 + 0.901031i
\(300\) 6.88863 + 15.5552i 0.397715 + 0.898080i
\(301\) −1.67224 10.8440i −0.0963862 0.625037i
\(302\) −5.65042 3.26227i −0.325145 0.187723i
\(303\) −12.7428 28.7744i −0.732052 1.65305i
\(304\) 0.444067 1.65728i 0.0254690 0.0950516i
\(305\) −6.68380 24.9443i −0.382713 1.42831i
\(306\) −0.691976 14.2899i −0.0395577 0.816898i
\(307\) −1.18591 + 1.18591i −0.0676832 + 0.0676832i −0.740138 0.672455i \(-0.765240\pi\)
0.672455 + 0.740138i \(0.265240\pi\)
\(308\) −10.5733 1.15489i −0.602468 0.0658059i
\(309\) −1.11453 + 10.4052i −0.0634037 + 0.591931i
\(310\) −2.74969 0.736777i −0.156172 0.0418461i
\(311\) −2.52872 4.37988i −0.143391 0.248360i 0.785381 0.619013i \(-0.212467\pi\)
−0.928771 + 0.370653i \(0.879134\pi\)
\(312\) −0.471148 + 6.22720i −0.0266735 + 0.352546i
\(313\) −8.23916 + 14.2706i −0.465705 + 0.806624i −0.999233 0.0391578i \(-0.987532\pi\)
0.533528 + 0.845782i \(0.320866\pi\)
\(314\) −3.11708 11.6331i −0.175907 0.656495i
\(315\) 22.8728 20.2638i 1.28874 1.14174i
\(316\) 3.41737 1.97302i 0.192242 0.110991i
\(317\) 5.40345 + 20.1659i 0.303488 + 1.13263i 0.934239 + 0.356647i \(0.116080\pi\)
−0.630751 + 0.775985i \(0.717253\pi\)
\(318\) −6.16505 7.64421i −0.345719 0.428666i
\(319\) −9.02877 33.6958i −0.505514 1.88660i
\(320\) 3.71876 0.996438i 0.207885 0.0557026i
\(321\) 4.22227 + 3.08050i 0.235664 + 0.171937i
\(322\) −16.5985 1.81301i −0.925000 0.101035i
\(323\) −7.90337 + 2.11770i −0.439755 + 0.117832i
\(324\) 3.72585 8.19256i 0.206992 0.455142i
\(325\) −24.2483 + 25.8102i −1.34505 + 1.43169i
\(326\) −8.09146 + 4.67161i −0.448145 + 0.258736i
\(327\) −25.6872 + 4.01616i −1.42051 + 0.222094i
\(328\) −0.694934 + 1.20366i −0.0383713 + 0.0664611i
\(329\) −2.07814 + 19.0259i −0.114572 + 1.04893i
\(330\) −25.0075 9.65652i −1.37662 0.531574i
\(331\) 3.22092 + 3.22092i 0.177038 + 0.177038i 0.790063 0.613025i \(-0.210048\pi\)
−0.613025 + 0.790063i \(0.710048\pi\)
\(332\) 10.3193 2.76506i 0.566347 0.151752i
\(333\) 8.77218 5.64729i 0.480712 0.309470i
\(334\) 1.47536 0.0807280
\(335\) 18.6664 32.3311i 1.01985 1.76644i
\(336\) −2.47250 3.85833i −0.134886 0.210489i
\(337\) 20.9388i 1.14061i 0.821434 + 0.570304i \(0.193175\pi\)
−0.821434 + 0.570304i \(0.806825\pi\)
\(338\) −12.3229 + 4.14092i −0.670275 + 0.225236i
\(339\) −13.4231 9.79323i −0.729041 0.531895i
\(340\) −12.9824 12.9824i −0.704069 0.704069i
\(341\) 2.57426 1.48625i 0.139404 0.0804849i
\(342\) −5.03046 1.09017i −0.272016 0.0589495i
\(343\) −16.6033 + 8.20561i −0.896491 + 0.443061i
\(344\) −4.00578 1.07335i −0.215977 0.0578709i
\(345\) −39.2582 15.1594i −2.11359 0.816152i
\(346\) 2.95369 + 0.791439i 0.158791 + 0.0425480i
\(347\) 3.71329 + 2.14387i 0.199340 + 0.115089i 0.596348 0.802726i \(-0.296618\pi\)
−0.397008 + 0.917815i \(0.629951\pi\)
\(348\) 8.85852 12.1419i 0.474866 0.650874i
\(349\) 0.480623 + 1.79371i 0.0257272 + 0.0960151i 0.977596 0.210492i \(-0.0675065\pi\)
−0.951868 + 0.306507i \(0.900840\pi\)
\(350\) 2.82167 25.8330i 0.150825 1.38083i
\(351\) 18.7281 + 0.508207i 0.999632 + 0.0271261i
\(352\) −2.01004 + 3.48150i −0.107136 + 0.185565i
\(353\) 23.5636 23.5636i 1.25416 1.25416i 0.300325 0.953837i \(-0.402905\pi\)
0.953837 0.300325i \(-0.0970952\pi\)
\(354\) −3.55460 8.02664i −0.188925 0.426611i
\(355\) 37.1732i 1.97295i
\(356\) −7.87927 + 7.87927i −0.417601 + 0.417601i
\(357\) −10.0393 + 19.4113i −0.531334 + 1.02736i
\(358\) 21.3534 + 5.72162i 1.12856 + 0.302397i
\(359\) 0.0912401 0.0244477i 0.00481547 0.00129030i −0.256411 0.966568i \(-0.582540\pi\)
0.261226 + 0.965278i \(0.415873\pi\)
\(360\) −3.52542 10.9986i −0.185806 0.579679i
\(361\) 16.0562i 0.845064i
\(362\) 2.11509 7.89362i 0.111167 0.414879i
\(363\) 8.17369 3.61972i 0.429007 0.189986i
\(364\) 5.39582 7.86671i 0.282818 0.412328i
\(365\) 38.1801i 1.99844i
\(366\) 1.79466 + 11.4786i 0.0938086 + 0.599997i
\(367\) 0.868852 0.0453537 0.0226769 0.999743i \(-0.492781\pi\)
0.0226769 + 0.999743i \(0.492781\pi\)
\(368\) −3.15548 + 5.46546i −0.164491 + 0.284907i
\(369\) 3.70759 + 1.90771i 0.193010 + 0.0993113i
\(370\) 3.46521 12.9323i 0.180148 0.672320i
\(371\) 2.28627 + 14.8258i 0.118697 + 0.769716i
\(372\) 1.19472 + 0.461335i 0.0619433 + 0.0239191i
\(373\) 25.0612 1.29762 0.648809 0.760952i \(-0.275268\pi\)
0.648809 + 0.760952i \(0.275268\pi\)
\(374\) 19.1713 0.991324
\(375\) 11.5829 29.9962i 0.598137 1.54899i
\(376\) 6.26472 + 3.61694i 0.323078 + 0.186529i
\(377\) 30.4591 + 7.15135i 1.56872 + 0.368313i
\(378\) −11.2027 + 7.96868i −0.576204 + 0.409865i
\(379\) −19.8801 + 5.32687i −1.02117 + 0.273623i −0.730291 0.683136i \(-0.760616\pi\)
−0.290883 + 0.956759i \(0.593949\pi\)
\(380\) −5.72054 + 3.30276i −0.293458 + 0.169428i
\(381\) −3.14738 + 29.3837i −0.161245 + 1.50537i
\(382\) −0.350227 + 1.30707i −0.0179192 + 0.0668753i
\(383\) 16.8769 16.8769i 0.862371 0.862371i −0.129242 0.991613i \(-0.541255\pi\)
0.991613 + 0.129242i \(0.0412546\pi\)
\(384\) −1.71126 + 0.267553i −0.0873274 + 0.0136535i
\(385\) 25.6399 + 31.9278i 1.30673 + 1.62719i
\(386\) 20.7650 11.9887i 1.05691 0.610209i
\(387\) −2.63502 + 12.1590i −0.133946 + 0.618078i
\(388\) −3.11049 + 3.11049i −0.157911 + 0.157911i
\(389\) −7.04572 12.2036i −0.357232 0.618745i 0.630265 0.776380i \(-0.282946\pi\)
−0.987497 + 0.157635i \(0.949613\pi\)
\(390\) 18.2350 15.6698i 0.923367 0.793472i
\(391\) 30.0962 1.52203
\(392\) 0.309353 + 6.99316i 0.0156247 + 0.353208i
\(393\) −1.01551 + 9.48072i −0.0512258 + 0.478239i
\(394\) 8.44912i 0.425661i
\(395\) −14.6744 3.93199i −0.738348 0.197840i
\(396\) 10.7239 + 5.51790i 0.538898 + 0.277285i
\(397\) −1.50493 + 1.50493i −0.0755302 + 0.0755302i −0.743863 0.668332i \(-0.767008\pi\)
0.668332 + 0.743863i \(0.267008\pi\)
\(398\) 2.31915 + 2.31915i 0.116249 + 0.116249i
\(399\) 5.81099 + 5.29639i 0.290914 + 0.265151i
\(400\) −8.50614 4.91102i −0.425307 0.245551i
\(401\) −8.37184 + 31.2441i −0.418070 + 1.56026i 0.360537 + 0.932745i \(0.382593\pi\)
−0.778607 + 0.627512i \(0.784073\pi\)
\(402\) −9.89920 + 13.5683i −0.493727 + 0.676726i
\(403\) 0.0831402 + 2.66469i 0.00414151 + 0.132738i
\(404\) 15.7349 + 9.08453i 0.782839 + 0.451972i
\(405\) −32.4457 + 12.1598i −1.61224 + 0.604226i
\(406\) −21.0116 + 9.25254i −1.04279 + 0.459196i
\(407\) 6.99012 + 12.1072i 0.346487 + 0.600134i
\(408\) 5.18538 + 6.42949i 0.256715 + 0.318307i
\(409\) −27.2627 + 7.30503i −1.34806 + 0.361210i −0.859417 0.511276i \(-0.829173\pi\)
−0.488639 + 0.872486i \(0.662506\pi\)
\(410\) 5.16858 1.38492i 0.255258 0.0683962i
\(411\) −11.0052 13.6457i −0.542849 0.673092i
\(412\) −3.02090 5.23236i −0.148829 0.257780i
\(413\) −1.45601 + 13.3301i −0.0716455 + 0.655931i
\(414\) 16.8351 + 8.66232i 0.827398 + 0.425730i
\(415\) −35.6199 20.5652i −1.74851 1.00950i
\(416\) −1.89928 3.06476i −0.0931196 0.150262i
\(417\) −7.18356 + 9.84612i −0.351780 + 0.482167i
\(418\) 1.78519 6.66242i 0.0873165 0.325870i
\(419\) 16.2655 + 9.39087i 0.794620 + 0.458774i 0.841586 0.540122i \(-0.181622\pi\)
−0.0469666 + 0.998896i \(0.514955\pi\)
\(420\) −3.77267 + 17.2346i −0.184087 + 0.840960i
\(421\) 6.36724 + 6.36724i 0.310320 + 0.310320i 0.845034 0.534713i \(-0.179580\pi\)
−0.534713 + 0.845034i \(0.679580\pi\)
\(422\) −3.93896 + 3.93896i −0.191746 + 0.191746i
\(423\) 9.92908 19.2970i 0.482768 0.938251i
\(424\) 5.47666 + 1.46747i 0.265970 + 0.0712665i
\(425\) 46.8401i 2.27208i
\(426\) 1.78116 16.6288i 0.0862975 0.805666i
\(427\) 6.42739 16.5421i 0.311043 0.800527i
\(428\) −3.01756 −0.145859
\(429\) −1.89406 + 25.0339i −0.0914460 + 1.20865i
\(430\) 7.98303 + 13.8270i 0.384976 + 0.666798i
\(431\) −16.6867 + 16.6867i −0.803771 + 0.803771i −0.983683 0.179912i \(-0.942419\pi\)
0.179912 + 0.983683i \(0.442419\pi\)
\(432\) 1.05003 + 5.08895i 0.0505195 + 0.244842i
\(433\) 0.164373 0.0949005i 0.00789924 0.00456063i −0.496045 0.868297i \(-0.665215\pi\)
0.503944 + 0.863736i \(0.331882\pi\)
\(434\) −1.22493 1.52533i −0.0587986 0.0732184i
\(435\) −57.1699 + 8.93842i −2.74108 + 0.428565i
\(436\) 10.6142 10.6142i 0.508326 0.508326i
\(437\) 2.80249 10.4591i 0.134061 0.500324i
\(438\) −1.82941 + 17.0792i −0.0874124 + 0.816074i
\(439\) 15.4140 8.89925i 0.735668 0.424738i −0.0848241 0.996396i \(-0.527033\pi\)
0.820492 + 0.571658i \(0.193700\pi\)
\(440\) 14.9497 4.00577i 0.712701 0.190968i
\(441\) 20.9100 1.94170i 0.995716 0.0924619i
\(442\) −8.12865 + 15.1517i −0.386640 + 0.720691i
\(443\) 24.8326 + 14.3371i 1.17983 + 0.681176i 0.955975 0.293447i \(-0.0948023\pi\)
0.223855 + 0.974622i \(0.428136\pi\)
\(444\) −2.16975 + 5.61900i −0.102972 + 0.266666i
\(445\) 42.8998 2.03364
\(446\) 16.5728 0.784744
\(447\) −30.7853 11.8876i −1.45610 0.562264i
\(448\) 2.46614 + 0.958213i 0.116514 + 0.0452713i
\(449\) −4.61100 + 17.2085i −0.217606 + 0.812118i 0.767626 + 0.640898i \(0.221438\pi\)
−0.985233 + 0.171221i \(0.945229\pi\)
\(450\) −13.4816 + 26.2012i −0.635527 + 1.23513i
\(451\) −2.79370 + 4.83883i −0.131550 + 0.227851i
\(452\) 9.59316 0.451224
\(453\) −1.74566 11.1652i −0.0820183 0.524587i
\(454\) 23.1132i 1.08475i
\(455\) −36.1048 + 6.72655i −1.69262 + 0.315345i
\(456\) 2.71723 1.20333i 0.127246 0.0563509i
\(457\) −6.84618 + 25.5503i −0.320251 + 1.19519i 0.598750 + 0.800936i \(0.295664\pi\)
−0.919001 + 0.394256i \(0.871002\pi\)
\(458\) 10.2406i 0.478512i
\(459\) 18.5135 16.4709i 0.864135 0.768794i
\(460\) 23.4690 6.28849i 1.09425 0.293202i
\(461\) 1.17017 + 0.313547i 0.0545004 + 0.0146033i 0.285966 0.958240i \(-0.407685\pi\)
−0.231466 + 0.972843i \(0.574352\pi\)
\(462\) −9.93968 15.5108i −0.462436 0.721630i
\(463\) 13.0245 13.0245i 0.605302 0.605302i −0.336413 0.941715i \(-0.609214\pi\)
0.941715 + 0.336413i \(0.109214\pi\)
\(464\) 8.67754i 0.402845i
\(465\) −1.99651 4.50831i −0.0925858 0.209068i
\(466\) 4.63693 4.63693i 0.214801 0.214801i
\(467\) 9.52020 16.4895i 0.440542 0.763042i −0.557187 0.830387i \(-0.688119\pi\)
0.997730 + 0.0673449i \(0.0214528\pi\)
\(468\) −8.90793 + 6.13586i −0.411769 + 0.283630i
\(469\) 23.4800 10.3395i 1.08421 0.477435i
\(470\) −7.20811 26.9010i −0.332485 1.24085i
\(471\) 12.2947 16.8517i 0.566508 0.776483i
\(472\) 4.38925 + 2.53413i 0.202032 + 0.116643i
\(473\) −16.1036 4.31495i −0.740444 0.198401i
\(474\) 6.37591 + 2.46203i 0.292855 + 0.113085i
\(475\) 16.2779 + 4.36165i 0.746881 + 0.200126i
\(476\) −1.92296 12.4699i −0.0881388 0.571555i
\(477\) 3.60257 16.6237i 0.164950 0.761146i
\(478\) 16.1197 9.30672i 0.737298 0.425679i
\(479\) 21.7583 + 21.7583i 0.994164 + 0.994164i 0.999983 0.00581938i \(-0.00185238\pi\)
−0.00581938 + 0.999983i \(0.501852\pi\)
\(480\) 5.38697 + 3.93023i 0.245880 + 0.179390i
\(481\) −12.5325 + 0.391024i −0.571435 + 0.0178292i
\(482\) 13.2418i 0.603147i
\(483\) −15.6039 24.3498i −0.710001 1.10795i
\(484\) −2.58056 + 4.46966i −0.117298 + 0.203166i
\(485\) 16.9355 0.769002
\(486\) 15.0966 3.88482i 0.684797 0.176219i
\(487\) 12.3270 3.30302i 0.558591 0.149674i 0.0315322 0.999503i \(-0.489961\pi\)
0.527059 + 0.849829i \(0.323295\pi\)
\(488\) −4.74305 4.74305i −0.214708 0.214708i
\(489\) −15.0965 5.82945i −0.682688 0.263617i
\(490\) 18.1955 19.8798i 0.821987 0.898077i
\(491\) −1.59689 + 2.76589i −0.0720664 + 0.124823i −0.899807 0.436289i \(-0.856293\pi\)
0.827740 + 0.561111i \(0.189626\pi\)
\(492\) −2.37843 + 0.371864i −0.107228 + 0.0167649i
\(493\) 35.8380 20.6911i 1.61406 0.931878i
\(494\) 4.50859 + 4.23576i 0.202851 + 0.190576i
\(495\) −14.1725 44.2155i −0.637006 1.98734i
\(496\) −0.714216 + 0.191374i −0.0320693 + 0.00859293i
\(497\) −15.0998 + 20.6059i −0.677317 + 0.924300i
\(498\) 14.9485 + 10.9062i 0.669859 + 0.488717i
\(499\) 30.6608 8.21553i 1.37256 0.367777i 0.504150 0.863616i \(-0.331806\pi\)
0.868415 + 0.495839i \(0.165139\pi\)
\(500\) 4.80487 + 17.9320i 0.214880 + 0.801944i
\(501\) 1.60421 + 1.98911i 0.0716710 + 0.0888667i
\(502\) 4.86041 + 18.1393i 0.216931 + 0.809597i
\(503\) 31.4519 18.1588i 1.40237 0.809659i 0.407735 0.913100i \(-0.366319\pi\)
0.994636 + 0.103441i \(0.0329853\pi\)
\(504\) 2.51343 7.52879i 0.111957 0.335359i
\(505\) −18.1043 67.5663i −0.805633 3.00666i
\(506\) −12.6853 + 21.9716i −0.563932 + 0.976758i
\(507\) −18.9820 12.1113i −0.843019 0.537883i
\(508\) −8.53085 14.7759i −0.378495 0.655573i
\(509\) −35.6549 9.55370i −1.58037 0.423460i −0.641333 0.767263i \(-0.721618\pi\)
−0.939042 + 0.343802i \(0.888285\pi\)
\(510\) 3.38686 31.6194i 0.149973 1.40013i
\(511\) 15.5088 21.1640i 0.686067 0.936241i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) −4.00003 7.96755i −0.176606 0.351776i
\(514\) 4.52435 + 16.8851i 0.199561 + 0.744771i
\(515\) −6.02029 + 22.4680i −0.265285 + 0.990059i
\(516\) −2.90854 6.56776i −0.128041 0.289130i
\(517\) 25.1847 + 14.5404i 1.10762 + 0.639486i
\(518\) 7.17394 5.76109i 0.315205 0.253128i
\(519\) 2.14463 + 4.84279i 0.0941387 + 0.212575i
\(520\) −3.17282 + 13.5137i −0.139137 + 0.592614i
\(521\) 1.64039 0.947080i 0.0718668 0.0414923i −0.463636 0.886026i \(-0.653455\pi\)
0.535503 + 0.844533i \(0.320122\pi\)
\(522\) 26.0022 1.25913i 1.13808 0.0551108i
\(523\) 15.2438 + 26.4030i 0.666565 + 1.15452i 0.978858 + 0.204539i \(0.0655694\pi\)
−0.312294 + 0.949986i \(0.601097\pi\)
\(524\) −2.75250 4.76748i −0.120244 0.208268i
\(525\) 37.8967 24.2850i 1.65395 1.05989i
\(526\) 2.74252 10.2352i 0.119580 0.446277i
\(527\) 2.49337 + 2.49337i 0.108613 + 0.108613i
\(528\) −6.87942 + 1.07559i −0.299389 + 0.0468090i
\(529\) −8.41415 + 14.5737i −0.365833 + 0.633641i
\(530\) −10.9143 18.9041i −0.474087 0.821143i
\(531\) 6.95661 13.5200i 0.301891 0.586720i
\(532\) −4.51259 0.492898i −0.195646 0.0213698i
\(533\) −2.63974 4.25961i −0.114340 0.184504i
\(534\) −19.1904 2.05555i −0.830451 0.0889523i
\(535\) 8.21477 + 8.21477i 0.355155 + 0.355155i
\(536\) 9.69696i 0.418845i
\(537\) 15.5044 + 35.0104i 0.669062 + 1.51081i
\(538\) −0.818810 0.818810i −0.0353014 0.0353014i
\(539\) 1.24363 + 28.1131i 0.0535669 + 1.21092i
\(540\) 10.9952 16.7123i 0.473160 0.719182i
\(541\) −7.79299 29.0838i −0.335047 1.25041i −0.903819 0.427916i \(-0.859248\pi\)
0.568772 0.822495i \(-0.307419\pi\)
\(542\) 0.464728 + 0.268311i 0.0199618 + 0.0115249i
\(543\) 12.9421 5.73143i 0.555401 0.245959i
\(544\) −4.60638 1.23428i −0.197497 0.0529191i
\(545\) −57.7903 −2.47546
\(546\) 16.4731 1.27903i 0.704985 0.0547373i
\(547\) −25.1916 −1.07711 −0.538557 0.842589i \(-0.681030\pi\)
−0.538557 + 0.842589i \(0.681030\pi\)
\(548\) 9.77639 + 2.61958i 0.417627 + 0.111903i
\(549\) −13.5243 + 14.9007i −0.577202 + 0.635948i
\(550\) −34.1955 19.7428i −1.45810 0.841834i
\(551\) −3.85341 14.3811i −0.164161 0.612657i
\(552\) −10.7997 + 1.68852i −0.459666 + 0.0718682i
\(553\) −6.53713 8.14031i −0.277987 0.346161i
\(554\) 12.5586 + 12.5586i 0.533564 + 0.533564i
\(555\) 21.2035 9.38996i 0.900037 0.398582i
\(556\) 7.03680i 0.298427i
\(557\) −23.6352 23.6352i −1.00146 1.00146i −0.999999 0.00145828i \(-0.999536\pi\)
−0.00145828 0.999999i \(-0.500464\pi\)
\(558\) 0.677084 + 2.11237i 0.0286632 + 0.0894238i
\(559\) 10.2382 10.8976i 0.433029 0.460921i
\(560\) −4.10505 9.32217i −0.173470 0.393934i
\(561\) 20.8457 + 25.8471i 0.880106 + 1.09127i
\(562\) −6.28842 10.8919i −0.265261 0.459445i
\(563\) 14.1183 24.4536i 0.595016 1.03060i −0.398528 0.917156i \(-0.630479\pi\)
0.993545 0.113442i \(-0.0361877\pi\)
\(564\) 1.93545 + 12.3790i 0.0814970 + 0.521252i
\(565\) −26.1156 26.1156i −1.09869 1.09869i
\(566\) −4.63206 + 17.2871i −0.194700 + 0.726630i
\(567\) −22.9246 6.43902i −0.962744 0.270413i
\(568\) 4.82777 + 8.36194i 0.202569 + 0.350859i
\(569\) −13.0253 22.5604i −0.546047 0.945781i −0.998540 0.0540133i \(-0.982799\pi\)
0.452493 0.891768i \(-0.350535\pi\)
\(570\) −10.6730 4.12133i −0.447043 0.172624i
\(571\) −26.2753 + 15.1701i −1.09959 + 0.634848i −0.936113 0.351700i \(-0.885604\pi\)
−0.163475 + 0.986547i \(0.552270\pi\)
\(572\) −7.63526 12.3206i −0.319246 0.515151i
\(573\) −2.14303 + 0.949039i −0.0895262 + 0.0396467i
\(574\) 3.42760 + 1.33179i 0.143065 + 0.0555878i
\(575\) −53.6820 30.9933i −2.23869 1.29251i
\(576\) −2.22144 2.01623i −0.0925600 0.0840098i
\(577\) −4.12503 + 15.3948i −0.171727 + 0.640895i 0.825359 + 0.564609i \(0.190973\pi\)
−0.997086 + 0.0762863i \(0.975694\pi\)
\(578\) 1.48618 + 5.54650i 0.0618170 + 0.230704i
\(579\) 38.7420 + 14.9600i 1.61006 + 0.621718i
\(580\) 23.6230 23.6230i 0.980893 0.980893i
\(581\) −11.3913 25.8685i −0.472590 1.07321i
\(582\) −7.57578 0.811467i −0.314026 0.0336364i
\(583\) 22.0167 + 5.89935i 0.911837 + 0.244326i
\(584\) −4.95853 8.58843i −0.205186 0.355392i
\(585\) 40.9540 + 7.54645i 1.69324 + 0.312007i
\(586\) −11.9466 + 20.6922i −0.493511 + 0.854786i
\(587\) 6.60185 + 24.6384i 0.272487 + 1.01694i 0.957506 + 0.288412i \(0.0931272\pi\)
−0.685019 + 0.728525i \(0.740206\pi\)
\(588\) −9.09194 + 8.02101i −0.374945 + 0.330781i
\(589\) 1.09867 0.634320i 0.0452701 0.0261367i
\(590\) −5.05022 18.8477i −0.207914 0.775946i
\(591\) 11.3913 9.18705i 0.468574 0.377905i
\(592\) −0.900068 3.35910i −0.0369925 0.138058i
\(593\) 23.0441 6.17464i 0.946307 0.253562i 0.247513 0.968885i \(-0.420387\pi\)
0.698795 + 0.715322i \(0.253720\pi\)
\(594\) 4.22121 + 20.4580i 0.173198 + 0.839404i
\(595\) −28.7120 + 39.1818i −1.17708 + 1.60630i
\(596\) 18.4038 4.93128i 0.753848 0.201993i
\(597\) −0.605022 + 5.64843i −0.0247619 + 0.231175i
\(598\) −11.9863 19.3416i −0.490155 0.790937i
\(599\) 19.8526 11.4619i 0.811153 0.468320i −0.0362029 0.999344i \(-0.511526\pi\)
0.847356 + 0.531025i \(0.178193\pi\)
\(600\) −2.62792 16.8081i −0.107284 0.686187i
\(601\) 12.1680 21.0756i 0.496343 0.859690i −0.503649 0.863909i \(-0.668009\pi\)
0.999991 + 0.00421817i \(0.00134269\pi\)
\(602\) −1.19137 + 10.9073i −0.0485567 + 0.444548i
\(603\) −29.0568 + 1.40706i −1.18329 + 0.0572997i
\(604\) 4.61355 + 4.61355i 0.187723 + 0.187723i
\(605\) 19.1930 5.14274i 0.780305 0.209082i
\(606\) 4.86119 + 31.0920i 0.197472 + 1.26303i
\(607\) 13.1454 0.533557 0.266779 0.963758i \(-0.414041\pi\)
0.266779 + 0.963758i \(0.414041\pi\)
\(608\) −0.857872 + 1.48588i −0.0347913 + 0.0602603i
\(609\) −35.3212 18.2676i −1.43129 0.740242i
\(610\) 25.8242i 1.04559i
\(611\) −22.1701 + 13.7391i −0.896905 + 0.555825i
\(612\) −3.03009 + 13.9821i −0.122484 + 0.565191i
\(613\) −5.27274 5.27274i −0.212964 0.212964i 0.592561 0.805525i \(-0.298117\pi\)
−0.805525 + 0.592561i \(0.798117\pi\)
\(614\) 1.45243 0.838562i 0.0586154 0.0338416i
\(615\) 7.48717 + 5.46251i 0.301912 + 0.220270i
\(616\) 9.91409 + 3.85210i 0.399450 + 0.155206i
\(617\) 19.6403 + 5.26260i 0.790688 + 0.211864i 0.631492 0.775383i \(-0.282443\pi\)
0.159196 + 0.987247i \(0.449110\pi\)
\(618\) 3.76962 9.76218i 0.151636 0.392693i
\(619\) −13.3339 3.57282i −0.535936 0.143604i −0.0193082 0.999814i \(-0.506146\pi\)
−0.516628 + 0.856210i \(0.672813\pi\)
\(620\) 2.46530 + 1.42334i 0.0990090 + 0.0571629i
\(621\) 6.62670 + 32.1162i 0.265920 + 1.28878i
\(622\) 1.30896 + 4.88512i 0.0524847 + 0.195875i
\(623\) 23.7802 + 17.4259i 0.952735 + 0.698153i
\(624\) 2.06681 5.89307i 0.0827387 0.235912i
\(625\) 11.1812 19.3664i 0.447247 0.774655i
\(626\) 11.6519 11.6519i 0.465705 0.465705i
\(627\) 10.9235 4.83748i 0.436243 0.193190i
\(628\) 12.0435i 0.480588i
\(629\) −11.7268 + 11.7268i −0.467578 + 0.467578i
\(630\) −27.3381 + 13.6534i −1.08918 + 0.543965i
\(631\) −41.0333 10.9948i −1.63351 0.437697i −0.678579 0.734528i \(-0.737404\pi\)
−0.954930 + 0.296830i \(0.904070\pi\)
\(632\) −3.81158 + 1.02131i −0.151617 + 0.0406256i
\(633\) −9.59357 1.02760i −0.381310 0.0408434i
\(634\) 20.8773i 0.829144i
\(635\) −17.0009 + 63.4483i −0.674661 + 2.51787i
\(636\) 3.97652 + 8.97937i 0.157679 + 0.356055i
\(637\) −22.7460 10.9371i −0.901228 0.433344i
\(638\) 34.8845i 1.38109i
\(639\) 24.3559 15.6797i 0.963506 0.620279i
\(640\) −3.84994 −0.152182
\(641\) −0.867888 + 1.50323i −0.0342795 + 0.0593738i −0.882656 0.470019i \(-0.844247\pi\)
0.848377 + 0.529393i \(0.177580\pi\)
\(642\) −3.28111 4.06834i −0.129495 0.160564i
\(643\) −3.79013 + 14.1449i −0.149468 + 0.557822i 0.850048 + 0.526706i \(0.176573\pi\)
−0.999516 + 0.0311165i \(0.990094\pi\)
\(644\) 15.5637 + 6.04725i 0.613296 + 0.238295i
\(645\) −9.96158 + 25.7975i −0.392237 + 1.01578i
\(646\) 8.18217 0.321923
\(647\) −12.3557 −0.485751 −0.242876 0.970057i \(-0.578091\pi\)
−0.242876 + 0.970057i \(0.578091\pi\)
\(648\) −5.71929 + 6.94908i −0.224675 + 0.272986i
\(649\) 17.6452 + 10.1874i 0.692634 + 0.399892i
\(650\) 30.1022 18.6548i 1.18071 0.731700i
\(651\) 0.724571 3.31003i 0.0283982 0.129730i
\(652\) 9.02485 2.41820i 0.353441 0.0947041i
\(653\) −26.0607 + 15.0461i −1.01983 + 0.588801i −0.914056 0.405589i \(-0.867067\pi\)
−0.105778 + 0.994390i \(0.533733\pi\)
\(654\) 25.8514 + 2.76903i 1.01087 + 0.108278i
\(655\) −5.48540 + 20.4718i −0.214332 + 0.799899i
\(656\) 0.982785 0.982785i 0.0383713 0.0383713i
\(657\) −25.0156 + 16.1044i −0.975953 + 0.628292i
\(658\) 6.93159 17.8397i 0.270221 0.695464i
\(659\) 29.0006 16.7435i 1.12970 0.652235i 0.185844 0.982579i \(-0.440498\pi\)
0.943861 + 0.330344i \(0.107165\pi\)
\(660\) 21.6561 + 15.7999i 0.842962 + 0.615010i
\(661\) 8.95487 8.95487i 0.348304 0.348304i −0.511173 0.859478i \(-0.670789\pi\)
0.859478 + 0.511173i \(0.170789\pi\)
\(662\) −2.27754 3.94481i −0.0885190 0.153319i
\(663\) −29.2664 + 5.51579i −1.13661 + 0.214216i
\(664\) −10.6834 −0.414595
\(665\) 10.9429 + 13.6265i 0.424347 + 0.528415i
\(666\) −9.93490 + 3.18446i −0.384969 + 0.123395i
\(667\) 54.7637i 2.12046i
\(668\) −1.42509 0.381851i −0.0551383 0.0147743i
\(669\) 18.0202 + 22.3438i 0.696703 + 0.863859i
\(670\) −26.3982 + 26.3982i −1.01985 + 1.01985i
\(671\) −19.0675 19.0675i −0.736093 0.736093i
\(672\) 1.38964 + 4.36679i 0.0536067 + 0.168453i
\(673\) 14.9509 + 8.63190i 0.576315 + 0.332735i 0.759667 0.650312i \(-0.225362\pi\)
−0.183353 + 0.983047i \(0.558695\pi\)
\(674\) 5.41935 20.2253i 0.208746 0.779050i
\(675\) −49.9839 + 10.3134i −1.92388 + 0.396964i
\(676\) 12.9747 0.810430i 0.499027 0.0311704i
\(677\) −2.21973 1.28156i −0.0853113 0.0492545i 0.456738 0.889602i \(-0.349018\pi\)
−0.542049 + 0.840347i \(0.682351\pi\)
\(678\) 10.4310 + 12.9337i 0.400601 + 0.496715i
\(679\) 9.38770 + 6.87920i 0.360267 + 0.263999i
\(680\) 9.17994 + 15.9001i 0.352035 + 0.609742i
\(681\) 31.1616 25.1318i 1.19412 0.963054i
\(682\) −2.87121 + 0.769339i −0.109944 + 0.0294595i
\(683\) 36.9434 9.89894i 1.41360 0.378773i 0.530390 0.847754i \(-0.322045\pi\)
0.883208 + 0.468981i \(0.155379\pi\)
\(684\) 4.57690 + 2.35500i 0.175002 + 0.0900457i
\(685\) −19.4831 33.7458i −0.744413 1.28936i
\(686\) 18.1613 3.62878i 0.693401 0.138547i
\(687\) −13.8066 + 11.1350i −0.526754 + 0.424827i
\(688\) 3.59149 + 2.07355i 0.136924 + 0.0790532i
\(689\) −13.9975 + 14.8991i −0.533263 + 0.567611i
\(690\) 33.9970 + 24.8036i 1.29424 + 0.944256i
\(691\) −5.93254 + 22.1405i −0.225684 + 0.842266i 0.756445 + 0.654058i \(0.226935\pi\)
−0.982129 + 0.188208i \(0.939732\pi\)
\(692\) −2.64821 1.52894i −0.100670 0.0581217i
\(693\) 10.1042 30.2664i 0.383827 1.14973i
\(694\) −3.03189 3.03189i −0.115089 0.115089i
\(695\) −19.1564 + 19.1564i −0.726644 + 0.726644i
\(696\) −11.6992 + 9.43542i −0.443458 + 0.357649i
\(697\) −6.40226 1.71548i −0.242503 0.0649784i
\(698\) 1.85699i 0.0702879i
\(699\) 11.2935 + 1.20968i 0.427159 + 0.0457545i
\(700\) −9.41161 + 24.2225i −0.355725 + 0.915525i
\(701\) −24.3586 −0.920011 −0.460006 0.887916i \(-0.652153\pi\)
−0.460006 + 0.887916i \(0.652153\pi\)
\(702\) −17.9584 5.33808i −0.677797 0.201473i
\(703\) 2.98333 + 5.16728i 0.112518 + 0.194888i
\(704\) 2.84263 2.84263i 0.107136 0.107136i
\(705\) 28.4308 38.9686i 1.07077 1.46764i
\(706\) −28.8594 + 16.6620i −1.08614 + 0.627081i
\(707\) 17.4098 44.8074i 0.654764 1.68515i
\(708\) 1.35603 + 8.67313i 0.0509628 + 0.325956i
\(709\) 22.6676 22.6676i 0.851299 0.851299i −0.138994 0.990293i \(-0.544387\pi\)
0.990293 + 0.138994i \(0.0443870\pi\)
\(710\) 9.62114 35.9066i 0.361075 1.34755i
\(711\) 3.61342 + 11.2732i 0.135514 + 0.422777i
\(712\) 9.65010 5.57149i 0.361653 0.208800i
\(713\) −4.50739 + 1.20775i −0.168803 + 0.0452307i
\(714\) 14.7212 16.1515i 0.550927 0.604456i
\(715\) −12.7550 + 54.3262i −0.477011 + 2.03169i
\(716\) −19.1449 11.0533i −0.715479 0.413082i
\(717\) 30.0751 + 11.6133i 1.12317 + 0.433708i
\(718\) −0.0944587 −0.00352517
\(719\) 17.8248 0.664751 0.332376 0.943147i \(-0.392150\pi\)
0.332376 + 0.943147i \(0.392150\pi\)
\(720\) 0.558637 + 11.5363i 0.0208192 + 0.429933i
\(721\) −12.4637 + 10.0090i −0.464171 + 0.372756i
\(722\) −4.15566 + 15.5091i −0.154657 + 0.577190i
\(723\) −17.8528 + 14.3983i −0.663954 + 0.535479i
\(724\) −4.08604 + 7.07722i −0.151856 + 0.263023i
\(725\) −85.2312 −3.16541
\(726\) −8.83203 + 1.38087i −0.327787 + 0.0512491i
\(727\) 35.4327i 1.31413i −0.753835 0.657064i \(-0.771798\pi\)
0.753835 0.657064i \(-0.228202\pi\)
\(728\) −7.24802 + 6.20212i −0.268629 + 0.229866i
\(729\) 21.6527 + 16.1294i 0.801953 + 0.597387i
\(730\) −9.88174 + 36.8792i −0.365740 + 1.36496i
\(731\) 19.7770i 0.731477i
\(732\) 1.23737 11.5520i 0.0457346 0.426974i
\(733\) 33.4761 8.96990i 1.23647 0.331311i 0.419374 0.907814i \(-0.362250\pi\)
0.817095 + 0.576503i \(0.195583\pi\)
\(734\) −0.839247 0.224876i −0.0309772 0.00830031i
\(735\) 46.5869 + 2.91542i 1.71838 + 0.107537i
\(736\) 4.46253 4.46253i 0.164491 0.164491i
\(737\) 38.9827i 1.43595i
\(738\) −3.08751 2.80230i −0.113653 0.103154i
\(739\) −2.52499 + 2.52499i −0.0928834 + 0.0928834i −0.752022 0.659138i \(-0.770921\pi\)
0.659138 + 0.752022i \(0.270921\pi\)
\(740\) −6.69427 + 11.5948i −0.246086 + 0.426234i
\(741\) −0.808370 + 10.6843i −0.0296962 + 0.392497i
\(742\) 1.62883 14.9123i 0.0597963 0.547449i
\(743\) 10.7093 + 39.9675i 0.392884 + 1.46626i 0.825354 + 0.564616i \(0.190976\pi\)
−0.432469 + 0.901649i \(0.642358\pi\)
\(744\) −1.03461 0.754832i −0.0379306 0.0276735i
\(745\) −63.5255 36.6765i −2.32739 1.34372i
\(746\) −24.2072 6.48630i −0.886289 0.237480i
\(747\) 1.55019 + 32.0126i 0.0567183 + 1.17128i
\(748\) −18.5181 4.96190i −0.677087 0.181425i
\(749\) 1.21678 + 7.89045i 0.0444601 + 0.288311i
\(750\) −18.9518 + 25.9762i −0.692021 + 0.948516i
\(751\) −13.0442 + 7.53105i −0.475988 + 0.274812i −0.718743 0.695276i \(-0.755282\pi\)
0.242755 + 0.970088i \(0.421949\pi\)
\(752\) −5.11512 5.11512i −0.186529 0.186529i
\(753\) −19.1709 + 26.2765i −0.698625 + 0.957568i
\(754\) −27.5703 14.7911i −1.00405 0.538659i
\(755\) 25.1191i 0.914177i
\(756\) 12.8834 4.79769i 0.468565 0.174490i
\(757\) −23.3536 + 40.4496i −0.848802 + 1.47017i 0.0334769 + 0.999439i \(0.489342\pi\)
−0.882278 + 0.470728i \(0.843991\pi\)
\(758\) 20.5814 0.747552
\(759\) −43.4158 + 6.78800i −1.57589 + 0.246389i
\(760\) 6.38044 1.70963i 0.231443 0.0620149i
\(761\) 17.5333 + 17.5333i 0.635583 + 0.635583i 0.949463 0.313880i \(-0.101629\pi\)
−0.313880 + 0.949463i \(0.601629\pi\)
\(762\) 10.6452 27.5678i 0.385634 0.998677i
\(763\) −32.0343 23.4744i −1.15972 0.849830i
\(764\) 0.676587 1.17188i 0.0244780 0.0423972i
\(765\) 46.3125 29.8147i 1.67443 1.07795i
\(766\) −20.6699 + 11.9338i −0.746835 + 0.431185i
\(767\) −15.5330 + 9.62604i −0.560865 + 0.347576i
\(768\) 1.72220 + 0.184470i 0.0621445 + 0.00665651i
\(769\) −22.1205 + 5.92717i −0.797686 + 0.213739i −0.634568 0.772867i \(-0.718822\pi\)
−0.163118 + 0.986607i \(0.552155\pi\)
\(770\) −16.5027 37.4760i −0.594715 1.35054i
\(771\) −17.8453 + 24.4597i −0.642684 + 0.880893i
\(772\) −23.1604 + 6.20581i −0.833561 + 0.223352i
\(773\) −3.67678 13.7219i −0.132245 0.493544i 0.867749 0.497002i \(-0.165566\pi\)
−0.999994 + 0.00345832i \(0.998899\pi\)
\(774\) 5.69222