Properties

Label 804.2.bd.a.23.2
Level 804
Weight 2
Character 804.23
Analytic conductor 6.420
Analytic rank 0
Dimension 2640
CM no
Inner twists 8

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Newspace parameters

Level: \( N \) = \( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 804.bd (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.41997232251\)
Analytic rank: \(0\)
Dimension: \(2640\)
Relative dimension: \(132\) over \(\Q(\zeta_{66})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 23.2
Character \(\chi\) = 804.23
Dual form 804.2.bd.a.35.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41084 + 0.0976039i) q^{2} +(0.479660 - 1.66431i) q^{3} +(1.98095 - 0.275407i) q^{4} +(2.88456 - 1.31734i) q^{5} +(-0.514280 + 2.39489i) q^{6} +(1.85789 + 1.94850i) q^{7} +(-2.76792 + 0.581904i) q^{8} +(-2.53985 - 1.59660i) q^{9} +O(q^{10})\) \(q+(-1.41084 + 0.0976039i) q^{2} +(0.479660 - 1.66431i) q^{3} +(1.98095 - 0.275407i) q^{4} +(2.88456 - 1.31734i) q^{5} +(-0.514280 + 2.39489i) q^{6} +(1.85789 + 1.94850i) q^{7} +(-2.76792 + 0.581904i) q^{8} +(-2.53985 - 1.59660i) q^{9} +(-3.94108 + 2.14010i) q^{10} +(-0.725043 - 0.0692332i) q^{11} +(0.491817 - 3.42901i) q^{12} +(-0.625573 - 0.120569i) q^{13} +(-2.81137 - 2.56768i) q^{14} +(-0.808847 - 5.43268i) q^{15} +(3.84830 - 1.09113i) q^{16} +(2.55706 - 4.96000i) q^{17} +(3.73917 + 2.00466i) q^{18} +(0.463180 - 0.485769i) q^{19} +(5.35136 - 3.40400i) q^{20} +(4.13406 - 2.15749i) q^{21} +(1.02968 + 0.0269101i) q^{22} +(3.17927 - 1.27279i) q^{23} +(-0.359191 + 4.88579i) q^{24} +(3.31103 - 3.82113i) q^{25} +(0.894353 + 0.109046i) q^{26} +(-3.87551 + 3.46128i) q^{27} +(4.21701 + 3.34819i) q^{28} +(-2.31618 - 1.33725i) q^{29} +(1.67141 + 7.58570i) q^{30} +(0.712251 + 3.69551i) q^{31} +(-5.32284 + 1.91503i) q^{32} +(-0.462999 + 1.17349i) q^{33} +(-3.12349 + 7.24736i) q^{34} +(7.92602 + 3.17310i) q^{35} +(-5.47103 - 2.46329i) q^{36} +(-5.19757 - 9.00245i) q^{37} +(-0.606061 + 0.730551i) q^{38} +(-0.500727 + 0.983316i) q^{39} +(-7.21768 + 5.32482i) q^{40} +(5.15363 - 0.245498i) q^{41} +(-5.62192 + 3.44737i) q^{42} +(6.81001 + 10.5966i) q^{43} +(-1.45534 + 0.0625347i) q^{44} +(-9.42963 - 1.25967i) q^{45} +(-4.36121 + 2.10601i) q^{46} +(-2.67511 - 2.10373i) q^{47} +(0.0298899 - 6.92814i) q^{48} +(-0.0118191 + 0.248113i) q^{49} +(-4.29838 + 5.71418i) q^{50} +(-7.02847 - 6.63485i) q^{51} +(-1.27243 - 0.0665542i) q^{52} +(-2.69922 + 4.20007i) q^{53} +(5.12989 - 5.26158i) q^{54} +(-2.18263 + 0.755417i) q^{55} +(-6.27633 - 4.31218i) q^{56} +(-0.586302 - 1.00388i) q^{57} +(3.39828 + 1.66058i) q^{58} +(-2.59006 - 2.98909i) q^{59} +(-3.09848 - 10.5391i) q^{60} +(14.0631 - 1.34286i) q^{61} +(-1.36557 - 5.14426i) q^{62} +(-1.60779 - 7.91521i) q^{63} +(7.32278 - 3.22133i) q^{64} +(-1.96334 + 0.476300i) q^{65} +(0.538681 - 1.70079i) q^{66} +(7.24286 - 3.81326i) q^{67} +(3.69938 - 10.5297i) q^{68} +(-0.593345 - 5.90179i) q^{69} +(-11.4921 - 3.70313i) q^{70} +(-7.73502 + 3.98768i) q^{71} +(7.95918 + 2.94132i) q^{72} +(4.36934 - 0.417221i) q^{73} +(8.21162 + 12.1937i) q^{74} +(-4.77138 - 7.34342i) q^{75} +(0.783751 - 1.08985i) q^{76} +(-1.21215 - 1.54137i) q^{77} +(0.610471 - 1.43618i) q^{78} +(-13.8455 + 4.79198i) q^{79} +(9.66328 - 8.21695i) q^{80} +(3.90171 + 8.11028i) q^{81} +(-7.24699 + 0.849373i) q^{82} +(-0.456515 + 0.641086i) q^{83} +(7.59516 - 5.41242i) q^{84} +(0.842010 - 17.6760i) q^{85} +(-10.6421 - 14.2854i) q^{86} +(-3.33657 + 3.21342i) q^{87} +(2.04715 - 0.230273i) q^{88} +(-3.02104 + 0.434359i) q^{89} +(13.4267 + 0.856819i) q^{90} +(-0.927317 - 1.44293i) q^{91} +(5.94742 - 3.39692i) q^{92} +(6.49211 + 0.587180i) q^{93} +(3.97949 + 2.70693i) q^{94} +(0.696151 - 2.01140i) q^{95} +(0.634043 + 9.77742i) q^{96} +(5.40049 + 9.35392i) q^{97} +(-0.00754195 - 0.351202i) q^{98} +(1.73096 + 1.33345i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} + O(q^{10}) \) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} - 46q^{10} - 24q^{12} - 88q^{13} - 26q^{16} - 23q^{18} - 128q^{22} - 22q^{24} + 160q^{25} + 44q^{28} - 18q^{30} - 44q^{33} - 6q^{34} - 35q^{36} - 48q^{37} - 92q^{40} - 10q^{42} + 40q^{45} + 46q^{46} - 11q^{48} - 216q^{49} - 76q^{52} + 129q^{54} - 42q^{57} - 56q^{58} - 90q^{60} - 80q^{61} - 48q^{64} - 74q^{66} - 4q^{69} + 96q^{70} - 20q^{72} - 216q^{73} + 76q^{76} - 66q^{78} - 16q^{81} + 20q^{82} - 55q^{84} - 104q^{85} - 30q^{88} - 64q^{90} - 192q^{93} - 32q^{94} - 205q^{96} - 64q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).

\(n\) \(269\) \(337\) \(403\)
\(\chi(n)\) \(-1\) \(e\left(\frac{14}{33}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41084 + 0.0976039i −0.997616 + 0.0690164i
\(3\) 0.479660 1.66431i 0.276932 0.960890i
\(4\) 1.98095 0.275407i 0.990473 0.137704i
\(5\) 2.88456 1.31734i 1.29002 0.589131i 0.352090 0.935966i \(-0.385471\pi\)
0.937926 + 0.346836i \(0.112744\pi\)
\(6\) −0.514280 + 2.39489i −0.209954 + 0.977711i
\(7\) 1.85789 + 1.94850i 0.702216 + 0.736463i 0.974162 0.225850i \(-0.0725158\pi\)
−0.271946 + 0.962312i \(0.587667\pi\)
\(8\) −2.76792 + 0.581904i −0.978608 + 0.205734i
\(9\) −2.53985 1.59660i −0.846618 0.532201i
\(10\) −3.94108 + 2.14010i −1.24628 + 0.676758i
\(11\) −0.725043 0.0692332i −0.218609 0.0208746i −0.0148230 0.999890i \(-0.504718\pi\)
−0.203786 + 0.979016i \(0.565325\pi\)
\(12\) 0.491817 3.42901i 0.141975 0.989870i
\(13\) −0.625573 0.120569i −0.173503 0.0334399i 0.101760 0.994809i \(-0.467553\pi\)
−0.275263 + 0.961369i \(0.588765\pi\)
\(14\) −2.81137 2.56768i −0.751370 0.686242i
\(15\) −0.808847 5.43268i −0.208843 1.40271i
\(16\) 3.84830 1.09113i 0.962075 0.272783i
\(17\) 2.55706 4.96000i 0.620178 1.20298i −0.344311 0.938856i \(-0.611887\pi\)
0.964489 0.264122i \(-0.0850822\pi\)
\(18\) 3.73917 + 2.00466i 0.881330 + 0.472502i
\(19\) 0.463180 0.485769i 0.106261 0.111443i −0.668455 0.743752i \(-0.733044\pi\)
0.774716 + 0.632309i \(0.217893\pi\)
\(20\) 5.35136 3.40400i 1.19660 0.761158i
\(21\) 4.13406 2.15749i 0.902125 0.470802i
\(22\) 1.02968 + 0.0269101i 0.219528 + 0.00573725i
\(23\) 3.17927 1.27279i 0.662923 0.265394i −0.0157049 0.999877i \(-0.504999\pi\)
0.678628 + 0.734482i \(0.262575\pi\)
\(24\) −0.359191 + 4.88579i −0.0733197 + 0.997308i
\(25\) 3.31103 3.82113i 0.662206 0.764226i
\(26\) 0.894353 + 0.109046i 0.175397 + 0.0213857i
\(27\) −3.87551 + 3.46128i −0.745842 + 0.666123i
\(28\) 4.21701 + 3.34819i 0.796940 + 0.632749i
\(29\) −2.31618 1.33725i −0.430104 0.248321i 0.269287 0.963060i \(-0.413212\pi\)
−0.699391 + 0.714739i \(0.746545\pi\)
\(30\) 1.67141 + 7.58570i 0.305155 + 1.38495i
\(31\) 0.712251 + 3.69551i 0.127924 + 0.663733i 0.988110 + 0.153752i \(0.0491356\pi\)
−0.860185 + 0.509981i \(0.829652\pi\)
\(32\) −5.32284 + 1.91503i −0.940955 + 0.338532i
\(33\) −0.462999 + 1.17349i −0.0805978 + 0.204278i
\(34\) −3.12349 + 7.24736i −0.535674 + 1.24291i
\(35\) 7.92602 + 3.17310i 1.33974 + 0.536352i
\(36\) −5.47103 2.46329i −0.911839 0.410549i
\(37\) −5.19757 9.00245i −0.854475 1.47999i −0.877131 0.480251i \(-0.840546\pi\)
0.0226564 0.999743i \(-0.492788\pi\)
\(38\) −0.606061 + 0.730551i −0.0983160 + 0.118511i
\(39\) −0.500727 + 0.983316i −0.0801805 + 0.157457i
\(40\) −7.21768 + 5.32482i −1.14122 + 0.841928i
\(41\) 5.15363 0.245498i 0.804862 0.0383403i 0.358882 0.933383i \(-0.383158\pi\)
0.445980 + 0.895043i \(0.352855\pi\)
\(42\) −5.62192 + 3.44737i −0.867481 + 0.531941i
\(43\) 6.81001 + 10.5966i 1.03852 + 1.61596i 0.753508 + 0.657439i \(0.228360\pi\)
0.285009 + 0.958525i \(0.408003\pi\)
\(44\) −1.45534 + 0.0625347i −0.219400 + 0.00942746i
\(45\) −9.42963 1.25967i −1.40569 0.187780i
\(46\) −4.36121 + 2.10601i −0.643026 + 0.310514i
\(47\) −2.67511 2.10373i −0.390205 0.306861i 0.403712 0.914886i \(-0.367720\pi\)
−0.793918 + 0.608025i \(0.791962\pi\)
\(48\) 0.0298899 6.92814i 0.00431423 0.999991i
\(49\) −0.0118191 + 0.248113i −0.00168844 + 0.0354448i
\(50\) −4.29838 + 5.71418i −0.607883 + 0.808107i
\(51\) −7.02847 6.63485i −0.984182 0.929065i
\(52\) −1.27243 0.0665542i −0.176455 0.00922941i
\(53\) −2.69922 + 4.20007i −0.370767 + 0.576925i −0.975635 0.219401i \(-0.929590\pi\)
0.604868 + 0.796326i \(0.293226\pi\)
\(54\) 5.12989 5.26158i 0.698090 0.716010i
\(55\) −2.18263 + 0.755417i −0.294306 + 0.101860i
\(56\) −6.27633 4.31218i −0.838710 0.576239i
\(57\) −0.586302 1.00388i −0.0776575 0.132967i
\(58\) 3.39828 + 1.66058i 0.446217 + 0.218044i
\(59\) −2.59006 2.98909i −0.337197 0.389146i 0.561674 0.827358i \(-0.310157\pi\)
−0.898872 + 0.438212i \(0.855612\pi\)
\(60\) −3.09848 10.5391i −0.400012 1.36059i
\(61\) 14.0631 1.34286i 1.80059 0.171936i 0.859735 0.510740i \(-0.170629\pi\)
0.940857 + 0.338804i \(0.110022\pi\)
\(62\) −1.36557 5.14426i −0.173427 0.653322i
\(63\) −1.60779 7.91521i −0.202562 0.997223i
\(64\) 7.32278 3.22133i 0.915347 0.402666i
\(65\) −1.96334 + 0.476300i −0.243522 + 0.0590778i
\(66\) 0.538681 1.70079i 0.0663071 0.209353i
\(67\) 7.24286 3.81326i 0.884856 0.465864i
\(68\) 3.69938 10.5297i 0.448616 1.27692i
\(69\) −0.593345 5.90179i −0.0714304 0.710492i
\(70\) −11.4921 3.70313i −1.37357 0.442609i
\(71\) −7.73502 + 3.98768i −0.917978 + 0.473250i −0.851392 0.524530i \(-0.824241\pi\)
−0.0665860 + 0.997781i \(0.521211\pi\)
\(72\) 7.95918 + 2.94132i 0.937999 + 0.346638i
\(73\) 4.36934 0.417221i 0.511392 0.0488320i 0.163829 0.986489i \(-0.447615\pi\)
0.347563 + 0.937657i \(0.387009\pi\)
\(74\) 8.21162 + 12.1937i 0.954581 + 1.41749i
\(75\) −4.77138 7.34342i −0.550951 0.847945i
\(76\) 0.783751 1.08985i 0.0899024 0.125014i
\(77\) −1.21215 1.54137i −0.138137 0.175656i
\(78\) 0.610471 1.43618i 0.0691222 0.162615i
\(79\) −13.8455 + 4.79198i −1.55774 + 0.539140i −0.964089 0.265581i \(-0.914436\pi\)
−0.593654 + 0.804721i \(0.702315\pi\)
\(80\) 9.66328 8.21695i 1.08039 0.918683i
\(81\) 3.90171 + 8.11028i 0.433523 + 0.901142i
\(82\) −7.24699 + 0.849373i −0.800297 + 0.0937975i
\(83\) −0.456515 + 0.641086i −0.0501090 + 0.0703683i −0.838870 0.544331i \(-0.816783\pi\)
0.788761 + 0.614700i \(0.210723\pi\)
\(84\) 7.59516 5.41242i 0.828700 0.590543i
\(85\) 0.842010 17.6760i 0.0913288 1.91723i
\(86\) −10.6421 14.2854i −1.14757 1.54044i
\(87\) −3.33657 + 3.21342i −0.357718 + 0.344515i
\(88\) 2.04715 0.230273i 0.218227 0.0245472i
\(89\) −3.02104 + 0.434359i −0.320229 + 0.0460420i −0.300555 0.953764i \(-0.597172\pi\)
−0.0196740 + 0.999806i \(0.506263\pi\)
\(90\) 13.4267 + 0.856819i 1.41529 + 0.0903167i
\(91\) −0.927317 1.44293i −0.0972092 0.151260i
\(92\) 5.94742 3.39692i 0.620062 0.354153i
\(93\) 6.49211 + 0.587180i 0.673200 + 0.0608877i
\(94\) 3.97949 + 2.70693i 0.410453 + 0.279199i
\(95\) 0.696151 2.01140i 0.0714236 0.206365i
\(96\) 0.634043 + 9.77742i 0.0647118 + 0.997904i
\(97\) 5.40049 + 9.35392i 0.548336 + 0.949746i 0.998389 + 0.0567442i \(0.0180720\pi\)
−0.450052 + 0.893002i \(0.648595\pi\)
\(98\) −0.00754195 0.351202i −0.000761852 0.0354768i
\(99\) 1.73096 + 1.33345i 0.173968 + 0.134017i
\(100\) 5.50661 8.48134i 0.550661 0.848134i
\(101\) −5.58738 1.35548i −0.555965 0.134876i −0.0520745 0.998643i \(-0.516583\pi\)
−0.503890 + 0.863768i \(0.668098\pi\)
\(102\) 10.5636 + 8.67472i 1.04596 + 0.858925i
\(103\) −1.95650 10.1513i −0.192780 1.00024i −0.941414 0.337253i \(-0.890502\pi\)
0.748634 0.662983i \(1.76929\pi\)
\(104\) 1.80170 0.0302970i 0.176671 0.00297087i
\(105\) 9.08282 11.6694i 0.886392 1.13881i
\(106\) 3.39823 6.18909i 0.330066 0.601138i
\(107\) −4.94819 + 10.8350i −0.478359 + 1.04746i 0.504552 + 0.863381i \(0.331658\pi\)
−0.982911 + 0.184079i \(0.941070\pi\)
\(108\) −6.72392 + 7.92395i −0.647009 + 0.762482i
\(109\) 3.93036 4.53587i 0.376460 0.434458i −0.535627 0.844455i \(-0.679925\pi\)
0.912087 + 0.409997i \(0.134470\pi\)
\(110\) 3.00562 1.27881i 0.286575 0.121930i
\(111\) −17.4759 + 4.33225i −1.65874 + 0.411199i
\(112\) 9.27579 + 5.47120i 0.876480 + 0.516980i
\(113\) −5.89046 + 4.19458i −0.554128 + 0.394592i −0.822536 0.568713i \(-0.807442\pi\)
0.268409 + 0.963305i \(0.413502\pi\)
\(114\) 0.925161 + 1.35909i 0.0866493 + 0.127290i
\(115\) 7.49411 7.85960i 0.698829 0.732911i
\(116\) −4.95652 2.01112i −0.460201 0.186728i
\(117\) 1.39636 + 1.30502i 0.129094 + 0.120649i
\(118\) 3.94591 + 3.96433i 0.363251 + 0.364946i
\(119\) 14.4153 4.23271i 1.32145 0.388012i
\(120\) 5.40012 + 14.5666i 0.492961 + 1.32974i
\(121\) −10.2803 1.98137i −0.934575 0.180125i
\(122\) −19.7097 + 3.26717i −1.78443 + 0.295796i
\(123\) 2.06340 8.69499i 0.186051 0.784001i
\(124\) 2.42870 + 7.12445i 0.218104 + 0.639794i
\(125\) 0.0501037 0.170638i 0.00448142 0.0152623i
\(126\) 3.04089 + 11.0102i 0.270904 + 0.980865i
\(127\) −0.230243 0.241472i −0.0204308 0.0214272i 0.713439 0.700717i \(-0.247136\pi\)
−0.733870 + 0.679290i \(0.762288\pi\)
\(128\) −10.0169 + 5.25951i −0.885374 + 0.464880i
\(129\) 20.9025 6.25121i 1.84036 0.550389i
\(130\) 2.72347 0.863614i 0.238864 0.0757439i
\(131\) 2.76286 19.2161i 0.241392 1.67892i −0.403759 0.914865i \(-0.632297\pi\)
0.645151 0.764055i \(-0.276794\pi\)
\(132\) −0.593990 + 2.45213i −0.0517002 + 0.213430i
\(133\) 1.80706 0.156692
\(134\) −9.84634 + 6.08684i −0.850594 + 0.525823i
\(135\) −6.61949 + 15.0896i −0.569715 + 1.29871i
\(136\) −4.19149 + 15.2169i −0.359418 + 1.30484i
\(137\) −7.33284 1.05430i −0.626487 0.0900753i −0.178243 0.983986i \(-0.557041\pi\)
−0.448244 + 0.893911i \(0.647950\pi\)
\(138\) 1.41315 + 8.26857i 0.120296 + 0.703868i
\(139\) 5.14453 2.34943i 0.436353 0.199276i −0.185112 0.982717i \(-0.559265\pi\)
0.621465 + 0.783442i \(0.286538\pi\)
\(140\) 16.5749 + 4.10286i 1.40084 + 0.346755i
\(141\) −4.78441 + 3.44314i −0.402920 + 0.289965i
\(142\) 10.5237 6.38095i 0.883127 0.535477i
\(143\) 0.445220 + 0.130728i 0.0372312 + 0.0109321i
\(144\) −11.5162 3.37289i −0.959686 0.281074i
\(145\) −8.44277 0.806187i −0.701134 0.0669502i
\(146\) −6.12372 + 1.01510i −0.506802 + 0.0840100i
\(147\) 0.407268 + 0.138681i 0.0335909 + 0.0114382i
\(148\) −12.7754 16.4019i −1.05014 1.34823i
\(149\) 2.04147 + 6.95259i 0.167243 + 0.569578i 0.999876 + 0.0157527i \(0.00501445\pi\)
−0.832633 + 0.553826i \(0.813167\pi\)
\(150\) 7.44841 + 9.89470i 0.608160 + 0.807899i
\(151\) −8.86541 + 17.1965i −0.721457 + 1.39943i 0.187383 + 0.982287i \(0.439999\pi\)
−0.908840 + 0.417145i \(0.863031\pi\)
\(152\) −0.999375 + 1.61410i −0.0810600 + 0.130921i
\(153\) −14.4137 + 8.51507i −1.16528 + 0.688403i
\(154\) 1.86059 + 2.05632i 0.149931 + 0.165703i
\(155\) 6.92276 + 9.72166i 0.556050 + 0.780862i
\(156\) −0.721102 + 2.08580i −0.0577343 + 0.166998i
\(157\) −2.47408 + 0.990474i −0.197453 + 0.0790484i −0.468282 0.883579i \(-0.655127\pi\)
0.270828 + 0.962628i \(0.412702\pi\)
\(158\) 19.0661 8.11210i 1.51682 0.645364i
\(159\) 5.69552 + 6.50695i 0.451684 + 0.516035i
\(160\) −12.8314 + 12.5360i −1.01441 + 0.991057i
\(161\) 8.38675 + 3.83010i 0.660968 + 0.301854i
\(162\) −6.29629 11.0615i −0.494683 0.869073i
\(163\) 13.1328 + 7.58225i 1.02864 + 0.593888i 0.916596 0.399815i \(-0.130926\pi\)
0.112048 + 0.993703i \(0.464259\pi\)
\(164\) 10.1415 1.90566i 0.791915 0.148807i
\(165\) 0.210327 + 3.99492i 0.0163739 + 0.311004i
\(166\) 0.581498 0.949028i 0.0451330 0.0736589i
\(167\) 0.513521 2.11676i 0.0397374 0.163800i −0.948486 0.316820i \(-0.897385\pi\)
0.988223 + 0.153020i \(0.0489000\pi\)
\(168\) −10.1873 + 8.37738i −0.785967 + 0.646329i
\(169\) −11.6920 4.68076i −0.899383 0.360059i
\(170\) 0.537300 + 25.0202i 0.0412090 + 1.91896i
\(171\) −1.95199 + 0.494268i −0.149272 + 0.0377976i
\(172\) 16.4086 + 19.1157i 1.25115 + 1.45756i
\(173\) 12.1469 + 4.20410i 0.923515 + 0.319632i 0.747121 0.664688i \(-0.231435\pi\)
0.176394 + 0.984320i \(0.443557\pi\)
\(174\) 4.39373 4.85929i 0.333088 0.368381i
\(175\) 13.5970 0.647704i 1.02784 0.0489619i
\(176\) −2.86573 + 0.524688i −0.216012 + 0.0395499i
\(177\) −6.21712 + 2.87692i −0.467307 + 0.216242i
\(178\) 4.21981 0.907677i 0.316288 0.0680333i
\(179\) 1.51141 + 10.5121i 0.112968 + 0.785709i 0.965006 + 0.262229i \(0.0844575\pi\)
−0.852038 + 0.523480i \(0.824633\pi\)
\(180\) −19.0265 + 0.101658i −1.41815 + 0.00757717i
\(181\) 0.864935 + 0.680192i 0.0642901 + 0.0505583i 0.649787 0.760116i \(-0.274858\pi\)
−0.585497 + 0.810675i \(0.699101\pi\)
\(182\) 1.44913 + 1.94524i 0.107417 + 0.144191i
\(183\) 4.51055 24.0494i 0.333430 1.77778i
\(184\) −8.05932 + 5.37300i −0.594141 + 0.396103i
\(185\) −26.8520 19.1212i −1.97420 1.40582i
\(186\) −9.21665 0.194763i −0.675797 0.0142807i
\(187\) −2.19737 + 3.41918i −0.160688 + 0.250035i
\(188\) −5.87864 3.43064i −0.428744 0.250205i
\(189\) −13.9446 1.12075i −1.01432 0.0815228i
\(190\) −0.785838 + 2.90571i −0.0570107 + 0.210802i
\(191\) −11.5207 + 9.05997i −0.833608 + 0.655557i −0.940905 0.338670i \(-0.890023\pi\)
0.107297 + 0.994227i \(0.465780\pi\)
\(192\) −1.84885 13.7325i −0.133429 0.991058i
\(193\) 13.6591 + 15.7634i 0.983201 + 1.13467i 0.990886 + 0.134704i \(0.0430084\pi\)
−0.00768468 + 0.999970i \(0.502446\pi\)
\(194\) −8.53221 12.6698i −0.612577 0.909638i
\(195\) −0.149022 + 3.49606i −0.0106717 + 0.250358i
\(196\) 0.0449192 + 0.494754i 0.00320851 + 0.0353396i
\(197\) 7.76422 + 15.0605i 0.553178 + 1.07302i 0.985241 + 0.171172i \(0.0547554\pi\)
−0.432063 + 0.901843i \(0.642214\pi\)
\(198\) −2.57227 1.71233i −0.182803 0.121690i
\(199\) −14.8582 + 3.60455i −1.05327 + 0.255520i −0.724774 0.688987i \(-0.758056\pi\)
−0.328493 + 0.944506i \(0.606541\pi\)
\(200\) −6.94114 + 12.5033i −0.490812 + 0.884116i
\(201\) −2.87234 13.8834i −0.202599 0.979262i
\(202\) 8.01521 + 1.36702i 0.563948 + 0.0961834i
\(203\) −1.69758 6.99753i −0.119147 0.491130i
\(204\) −15.7503 11.2076i −1.10274 0.784689i
\(205\) 14.5426 7.49722i 1.01570 0.523628i
\(206\) 3.75112 + 14.1309i 0.261353 + 0.984547i
\(207\) −10.1070 1.84334i −0.702486 0.128121i
\(208\) −2.53895 + 0.218597i −0.176045 + 0.0151570i
\(209\) −0.369457 + 0.320136i −0.0255558 + 0.0221443i
\(210\) −11.6754 + 17.3501i −0.805682 + 1.19727i
\(211\) −10.6534 13.5469i −0.733408 0.932605i 0.266100 0.963945i \(-0.414265\pi\)
−0.999509 + 0.0313408i \(0.990022\pi\)
\(212\) −4.19029 + 9.06351i −0.287790 + 0.622484i
\(213\) 2.92656 + 14.7862i 0.200524 + 1.01313i
\(214\) 5.92357 15.7695i 0.404927 1.07798i
\(215\) 33.6032 + 21.5954i 2.29172 + 1.47280i
\(216\) 8.71297 11.8357i 0.592843 0.805318i
\(217\) −5.87741 + 8.25366i −0.398984 + 0.560295i
\(218\) −5.10239 + 6.78302i −0.345577 + 0.459404i
\(219\) 1.40141 7.47205i 0.0946984 0.504915i
\(220\) −4.11564 + 2.09755i −0.277476 + 0.141417i
\(221\) −2.19765 + 2.79454i −0.147830 + 0.187981i
\(222\) 24.2329 7.81784i 1.62641 0.524699i
\(223\) 12.3151 1.77065i 0.824681 0.118571i 0.282962 0.959131i \(-0.408683\pi\)
0.541719 + 0.840560i \(0.317774\pi\)
\(224\) −13.6207 6.81365i −0.910070 0.455256i
\(225\) −14.5104 + 4.41871i −0.967358 + 0.294581i
\(226\) 7.90109 6.49281i 0.525573 0.431895i
\(227\) 0.425480 + 8.93192i 0.0282401 + 0.592832i 0.967993 + 0.250978i \(0.0807521\pi\)
−0.939753 + 0.341855i \(0.888945\pi\)
\(228\) −1.43791 1.82716i −0.0952278 0.121007i
\(229\) 3.65009 10.5462i 0.241205 0.696915i −0.757808 0.652478i \(-0.773729\pi\)
0.999012 0.0444369i \(-0.0141494\pi\)
\(230\) −9.80587 + 11.8201i −0.646580 + 0.779394i
\(231\) −3.14674 + 1.27806i −0.207040 + 0.0840899i
\(232\) 7.18915 + 2.35360i 0.471991 + 0.154521i
\(233\) 5.24442 13.0999i 0.343573 0.858204i −0.651462 0.758681i \(-0.725844\pi\)
0.995035 0.0995231i \(-0.0317317\pi\)
\(234\) −2.09742 1.70489i −0.137113 0.111452i
\(235\) −10.4879 2.54433i −0.684153 0.165974i
\(236\) −5.95399 5.20791i −0.387572 0.339006i
\(237\) 1.33420 + 25.3417i 0.0866659 + 1.64612i
\(238\) −19.9246 + 7.37867i −1.29152 + 0.478288i
\(239\) 0.451058 0.781255i 0.0291765 0.0505352i −0.851068 0.525055i \(-0.824045\pi\)
0.880245 + 0.474520i \(0.157378\pi\)
\(240\) −9.04047 20.0240i −0.583560 1.29255i
\(241\) −12.5138 + 27.4014i −0.806085 + 1.76508i −0.182695 + 0.983170i \(0.558482\pi\)
−0.623390 + 0.781911i \(0.714245\pi\)
\(242\) 14.6973 + 1.79200i 0.944778 + 0.115194i
\(243\) 15.3695 2.60348i 0.985955 0.167013i
\(244\) 27.4884 6.53321i 1.75976 0.418246i
\(245\) 0.292756 + 0.731268i 0.0187035 + 0.0467190i
\(246\) −2.06247 + 12.4687i −0.131498 + 0.794972i
\(247\) −0.348322 + 0.248039i −0.0221632 + 0.0157823i
\(248\) −4.12189 9.81442i −0.261740 0.623216i
\(249\) 0.847993 + 1.06729i 0.0537394 + 0.0676365i
\(250\) −0.0540335 + 0.245633i −0.00341738 + 0.0155352i
\(251\) 24.5706 + 12.6670i 1.55088 + 0.799536i 0.999399 0.0346503i \(-0.0110317\pi\)
0.551483 + 0.834186i \(0.314062\pi\)
\(252\) −5.36485 15.2368i −0.337953 0.959829i
\(253\) −2.39322 + 0.702714i −0.150461 + 0.0441792i
\(254\) 0.348405 + 0.318206i 0.0218609 + 0.0199660i
\(255\) −29.0144 9.87981i −1.81695 0.618697i
\(256\) 13.6189 8.39803i 0.851178 0.524877i
\(257\) −1.36277 + 14.2716i −0.0850072 + 0.890236i 0.847909 + 0.530142i \(0.177861\pi\)
−0.932916 + 0.360094i \(0.882745\pi\)
\(258\) −28.8799 + 10.8596i −1.79799 + 0.676091i
\(259\) 7.88475 26.8530i 0.489935 1.66856i
\(260\) −3.75809 + 1.48424i −0.233067 + 0.0920488i
\(261\) 3.74770 + 7.09444i 0.231977 + 0.439135i
\(262\) −2.02239 + 27.3806i −0.124944 + 1.69158i
\(263\) 12.9361 + 28.3262i 0.797676 + 1.74667i 0.653239 + 0.757152i \(0.273410\pi\)
0.144436 + 0.989514i \(0.453863\pi\)
\(264\) 0.598688 3.51754i 0.0368467 0.216490i
\(265\) −2.25317 + 15.6712i −0.138411 + 0.962672i
\(266\) −2.54947 + 0.176376i −0.156318 + 0.0108143i
\(267\) −0.726160 + 5.23628i −0.0444403 + 0.320455i
\(268\) 13.2975 9.54861i 0.812276 0.583274i
\(269\) 5.94192i 0.362285i −0.983457 0.181143i \(-0.942020\pi\)
0.983457 0.181143i \(-0.0579795\pi\)
\(270\) 7.86624 21.9351i 0.478724 1.33493i
\(271\) −18.1727 2.61284i −1.10391 0.158719i −0.433824 0.900998i \(-0.642836\pi\)
−0.670091 + 0.742279i \(0.733745\pi\)
\(272\) 4.42831 21.8777i 0.268506 1.32653i
\(273\) −2.84628 + 0.851226i −0.172265 + 0.0515185i
\(274\) 10.4484 + 0.771742i 0.631210 + 0.0466226i
\(275\) −2.66519 + 2.54125i −0.160717 + 0.153243i
\(276\) −2.80078 11.5277i −0.168587 0.693887i
\(277\) −1.06720 0.313358i −0.0641218 0.0188279i 0.249514 0.968371i \(-0.419729\pi\)
−0.313636 + 0.949543i \(0.601547\pi\)
\(278\) −7.02880 + 3.81679i −0.421559 + 0.228916i
\(279\) 4.09125 10.5232i 0.244937 0.630010i
\(280\) −23.7851 4.17071i −1.42143 0.249248i
\(281\) 0.866962 4.49823i 0.0517186 0.268342i −0.946860 0.321647i \(-0.895764\pi\)
0.998578 + 0.0533054i \(0.0169757\pi\)
\(282\) 6.41398 5.32470i 0.381947 0.317082i
\(283\) 4.46968 + 15.2223i 0.265695 + 0.904873i 0.978973 + 0.203992i \(0.0653916\pi\)
−0.713278 + 0.700881i \(0.752790\pi\)
\(284\) −14.2244 + 10.0297i −0.844064 + 0.595151i
\(285\) −3.01367 2.12340i −0.178514 0.125779i
\(286\) −0.640894 0.140982i −0.0378969 0.00833643i
\(287\) 10.0532 + 9.58573i 0.593423 + 0.565828i
\(288\) 16.5768 + 3.63459i 0.976796 + 0.214170i
\(289\) −8.20212 11.5183i −0.482478 0.677545i
\(290\) 11.9901 + 0.313355i 0.704083 + 0.0184008i
\(291\) 18.1582 4.50139i 1.06445 0.263876i
\(292\) 8.54052 2.02984i 0.499796 0.118787i
\(293\) 19.4930 + 16.8908i 1.13880 + 0.986772i 0.999994 0.00354794i \(-0.00112935\pi\)
0.138802 + 0.990320i \(0.455675\pi\)
\(294\) −0.588127 0.155905i −0.0343002 0.00909258i
\(295\) −11.4088 5.21024i −0.664248 0.303352i
\(296\) 19.6250 + 21.8936i 1.14068 + 1.27254i
\(297\) 3.04954 2.24126i 0.176952 0.130051i
\(298\) −3.55878 9.60975i −0.206155 0.556678i
\(299\) −2.14232 + 0.412899i −0.123894 + 0.0238786i
\(300\) −11.4743 13.2329i −0.662468 0.763999i
\(301\) −7.99518 + 32.9566i −0.460834 + 1.89958i
\(302\) 10.8292 25.1268i 0.623153 1.44589i
\(303\) −4.93598 + 8.64896i −0.283565 + 0.496870i
\(304\) 1.25242 2.37478i 0.0718310 0.136203i
\(305\) 38.7968 22.3994i 2.22150 1.28258i
\(306\) 19.5044 13.4203i 1.11499 0.767185i
\(307\) 23.3034 + 8.06540i 1.33000 + 0.460317i 0.897379 0.441260i \(-0.145468\pi\)
0.432619 + 0.901577i \(0.357590\pi\)
\(308\) −2.82571 2.71954i −0.161009 0.154960i
\(309\) −17.8333 1.61294i −1.01450 0.0917570i
\(310\) −10.7158 13.0400i −0.608616 0.740624i
\(311\) 3.88873 2.49913i 0.220509 0.141713i −0.425723 0.904854i \(-0.639980\pi\)
0.646232 + 0.763141i \(0.276344\pi\)
\(312\) 0.813778 3.01312i 0.0460711 0.170584i
\(313\) 1.06213 + 7.38729i 0.0600353 + 0.417554i 0.997571 + 0.0696641i \(0.0221927\pi\)
−0.937535 + 0.347890i \(0.886898\pi\)
\(314\) 3.39387 1.63888i 0.191527 0.0924874i
\(315\) −15.0648 20.7139i −0.848803 1.16710i
\(316\) −26.1075 + 13.3058i −1.46866 + 0.748510i
\(317\) −17.1881 0.818771i −0.965381 0.0459868i −0.441033 0.897491i \(-0.645388\pi\)
−0.524348 + 0.851504i \(0.675691\pi\)
\(318\) −8.67057 8.62437i −0.486222 0.483631i
\(319\) 1.58675 + 1.12992i 0.0888408 + 0.0632632i
\(320\) 16.8794 18.9387i 0.943589 1.05870i
\(321\) 15.6594 + 13.4324i 0.874021 + 0.749725i
\(322\) −12.2062 4.58508i −0.680225 0.255517i
\(323\) −1.22504 3.53952i −0.0681630 0.196944i
\(324\) 9.96271 + 14.9915i 0.553484 + 0.832860i
\(325\) −2.53200 + 1.99119i −0.140450 + 0.110451i
\(326\) −19.2684 9.41554i −1.06718 0.521478i
\(327\) −5.66386 8.71700i −0.313212 0.482051i
\(328\) −14.1220 + 3.67844i −0.779756 + 0.203108i
\(329\) −0.870946 9.12096i −0.0480168 0.502855i
\(330\) −0.686657 5.61567i −0.0377992 0.309133i
\(331\) −0.439441 0.852396i −0.0241538 0.0468519i 0.876450 0.481493i \(-0.159905\pi\)
−0.900604 + 0.434641i \(0.856875\pi\)
\(332\) −0.727773 + 1.39568i −0.0399417 + 0.0765981i
\(333\) −1.17229 + 31.1634i −0.0642411 + 1.70774i
\(334\) −0.517892 + 3.03654i −0.0283378 + 0.166152i
\(335\) 15.8691 20.5409i 0.867024 1.12227i
\(336\) 13.5550 12.8135i 0.739486 0.699032i
\(337\) −5.11053 21.0659i −0.278388 1.14753i −0.923547 0.383484i \(-0.874724\pi\)
0.645159 0.764048i \(-0.276791\pi\)
\(338\) 16.9524 + 5.46263i 0.922088 + 0.297128i
\(339\) 4.15566 + 11.8155i 0.225704 + 0.641731i
\(340\) −3.20011 35.2470i −0.173550 1.91154i
\(341\) −0.260560 2.72871i −0.0141101 0.147768i
\(342\) 2.70571 0.887855i 0.146308 0.0480097i
\(343\) 13.7374 11.9036i 0.741752 0.642732i
\(344\) −25.0158 25.3677i −1.34876 1.36774i
\(345\) −9.48618 16.2424i −0.510719 0.874464i
\(346\) −17.5478 4.74573i −0.943373 0.255132i
\(347\) −7.96307 23.0078i −0.427480 1.23512i −0.929034 0.369995i \(-0.879359\pi\)
0.501554 0.865126i \(1.66724\pi\)
\(348\) −5.72457 + 7.28453i −0.306869 + 0.390492i
\(349\) −24.2672 15.5956i −1.29899 0.834812i −0.305891 0.952067i \(-0.598954\pi\)
−0.993102 + 0.117255i \(0.962591\pi\)
\(350\) −19.1200 + 2.24093i −1.02201 + 0.119783i
\(351\) 2.84174 1.69801i 0.151681 0.0906333i
\(352\) 3.99187 1.01996i 0.212767 0.0543639i
\(353\) 2.53073 + 0.120554i 0.134697 + 0.00641642i 0.114822 0.993386i \(-0.463370\pi\)
0.0198750 + 0.999802i \(0.493673\pi\)
\(354\) 8.49057 4.66569i 0.451269 0.247979i
\(355\) −17.0590 + 21.6923i −0.905400 + 1.15131i
\(356\) −5.86489 + 1.69246i −0.310838 + 0.0897001i
\(357\) −0.130111 26.0218i −0.00688619 1.37722i
\(358\) −3.15837 14.6833i −0.166925 0.776039i
\(359\) 19.6213 12.6098i 1.03557 0.665522i 0.0916842 0.995788i \(-0.470775\pi\)
0.943888 + 0.330266i \(0.107139\pi\)
\(360\) 26.8335 2.00049i 1.41425 0.105435i
\(361\) 0.882620 + 18.5285i 0.0464537 + 0.975183i
\(362\) −1.28667 0.875222i −0.0676261 0.0460007i
\(363\) −8.22867 + 16.1593i −0.431893 + 0.848141i
\(364\) −2.23436 2.60298i −0.117112 0.136433i
\(365\) 12.0540 6.95938i 0.630936 0.364271i
\(366\) −4.01636 + 34.3702i −0.209938 + 1.79656i
\(367\) 1.60296 4.00400i 0.0836738 0.209007i −0.880630 0.473804i \(-0.842881\pi\)
0.964304 + 0.264797i \(0.0853048\pi\)
\(368\) 10.8460 8.36707i 0.565387 0.436164i
\(369\) −13.4814 7.60478i −0.701815 0.395889i
\(370\) 39.7502 + 24.3561i 2.06651 + 1.26621i
\(371\) −13.1987 + 2.54384i −0.685242 + 0.132070i
\(372\) 13.0222 0.624801i 0.675172 0.0323944i
\(373\) −2.84896 + 4.93454i −0.147513 + 0.255501i −0.930308 0.366780i \(-0.880460\pi\)
0.782794 + 0.622280i \(0.213794\pi\)
\(374\) 2.76642 5.03839i 0.143048 0.260529i
\(375\) −0.259961 0.165236i −0.0134243 0.00853276i
\(376\) 8.62868 + 4.26631i 0.444990 + 0.220018i
\(377\) 1.28771 + 1.11581i 0.0663204 + 0.0574670i
\(378\) 19.7829 + 0.220162i 1.01752 + 0.0113239i
\(379\) −8.51672 21.2737i −0.437474 1.09276i −0.969295 0.245901i \(-0.920916\pi\)
0.531820 0.846857i \(1.67849\pi\)
\(380\) 0.825085 4.17619i 0.0423260 0.214234i
\(381\) −0.512323 + 0.267372i −0.0262471 + 0.0136979i
\(382\) 15.3696 13.9066i 0.786376 0.711526i
\(383\) 6.57162 + 6.26602i 0.335794 + 0.320179i 0.839150 0.543900i \(-0.183053\pi\)
−0.503356 + 0.864079i \(0.667902\pi\)
\(384\) 3.94878 + 19.1939i 0.201510 + 0.979486i
\(385\) −5.52702 2.84938i −0.281683 0.145218i
\(386\) −20.8093 20.9065i −1.05917 1.06411i
\(387\) −0.377882 37.7867i −0.0192088 1.92080i
\(388\) 13.2742 + 17.0423i 0.673896 + 0.865191i
\(389\) −5.98210 + 31.0381i −0.303304 + 1.57369i 0.435764 + 0.900061i \(0.356478\pi\)
−0.739068 + 0.673631i \(0.764734\pi\)
\(390\) −0.130983 4.94694i −0.00663258 0.250498i
\(391\) 1.81655 19.0238i 0.0918669 0.962073i
\(392\) −0.111664 0.693636i −0.00563987 0.0350339i
\(393\) −30.6563 13.8155i −1.54641 0.696897i
\(394\) −12.4240 20.4901i −0.625914 1.03228i
\(395\) −33.6256 + 32.0620i −1.69189 + 1.61321i
\(396\) 3.79619 + 2.16477i 0.190766 + 0.108784i
\(397\) 13.3673 + 29.2703i 0.670885 + 1.46903i 0.872021 + 0.489469i \(0.162809\pi\)
−0.201136 + 0.979563i \(0.564463\pi\)
\(398\) 20.6107 6.53566i 1.03312 0.327603i
\(399\) 0.866772 3.00750i 0.0433929 0.150563i
\(400\) 8.57247 18.3176i 0.428624 0.915882i
\(401\) 13.4358i 0.670951i −0.942049 0.335476i \(-0.891103\pi\)
0.942049 0.335476i \(-0.108897\pi\)
\(402\) 5.40750 + 19.3070i 0.269701 + 0.962944i
\(403\) 2.39769i 0.119437i
\(404\) −11.4416 1.14634i −0.569241 0.0570324i
\(405\) 21.9387 + 18.2548i 1.09014 + 0.907086i
\(406\) 3.07801 + 9.70671i 0.152759 + 0.481736i
\(407\) 3.14519 + 6.88700i 0.155901 + 0.341376i
\(408\) 23.3151 + 14.2749i 1.15427 + 0.706711i
\(409\) 21.1568 20.1730i 1.04614 0.997491i 0.0461398 0.998935i \(-0.485308\pi\)
0.999999 + 0.00144373i \(0.000459555\pi\)
\(410\) −19.7855 + 11.9968i −0.977136 + 0.592479i
\(411\) −5.27196 + 11.6984i −0.260046 + 0.577040i
\(412\) −6.67146 19.5703i −0.328679 0.964161i
\(413\) 1.01219 10.6001i 0.0498066 0.521598i
\(414\) 14.4393 + 1.61418i 0.709653 + 0.0793324i
\(415\) −0.472321 + 2.45064i −0.0231853 + 0.120297i
\(416\) 3.56072 0.556217i 0.174579 0.0272708i
\(417\) −1.44255 9.68901i −0.0706421 0.474473i
\(418\) 0.489998 0.487721i 0.0239666 0.0238552i
\(419\) −22.8503 11.7801i −1.11631 0.575497i −0.201542 0.979480i \(-0.564595\pi\)
−0.914767 + 0.403983i \(0.867626\pi\)
\(420\) 14.7788 25.6178i 0.721129 1.25002i
\(421\) 6.26850 + 5.97700i 0.305508 + 0.291301i 0.827287 0.561779i \(-0.189883\pi\)
−0.521779 + 0.853081i \(0.674731\pi\)
\(422\) 16.3524 + 18.0727i 0.796024 + 0.879764i
\(423\) 3.43557 + 9.61427i 0.167043 + 0.467462i
\(424\) 5.02720 13.1962i 0.244142 0.640862i
\(425\) −10.4863 26.1936i −0.508662 1.27058i
\(426\) −5.57210 20.5753i −0.269969 0.996878i
\(427\) 28.7442 + 24.9070i 1.39103 + 1.20533i
\(428\) −6.81805 + 22.8264i −0.329563 + 1.10335i
\(429\) 0.431127 0.678279i 0.0208150 0.0327476i
\(430\) −49.5165 27.1880i −2.38790 1.31112i
\(431\) −13.4206 + 23.2451i −0.646446 + 1.11968i 0.337519 + 0.941319i \(0.390412\pi\)
−0.983965 + 0.178359i \(0.942921\pi\)
\(432\) −11.1374 + 17.5487i −0.535849 + 0.844314i
\(433\) 25.5887 4.93183i 1.22972 0.237008i 0.467302 0.884098i \(-0.345226\pi\)
0.762414 + 0.647089i \(0.224014\pi\)
\(434\) 7.48650 12.2183i 0.359364 0.586496i
\(435\) −5.39140 + 13.6647i −0.258498 + 0.655172i
\(436\) 6.53662 10.0678i 0.313047 0.482159i
\(437\) 0.854292 2.13392i 0.0408663 0.102079i
\(438\) −1.24786 + 10.6787i −0.0596253 + 0.510246i
\(439\) −22.4618 + 12.9683i −1.07204 + 0.618943i −0.928738 0.370736i \(-0.879106\pi\)
−0.143303 + 0.989679i \(0.545772\pi\)
\(440\) 5.60178 3.36102i 0.267054 0.160230i
\(441\) 0.426157 0.611301i 0.0202932 0.0291096i
\(442\) 2.82778 4.15716i 0.134504 0.197736i
\(443\) −1.61442 33.8908i −0.0767034 1.61020i −0.629578 0.776938i \(-0.716772\pi\)
0.552874 0.833265i \(1.68647\pi\)
\(444\) −33.4258 + 13.3950i −1.58632 + 0.635696i
\(445\) −8.14217 + 5.23266i −0.385976 + 0.248052i
\(446\) −17.2019 + 3.70011i −0.814532 + 0.175205i
\(447\) 12.5505 0.0627533i 0.593617 0.00296813i
\(448\) 19.8817 + 8.28354i 0.939320 + 0.391361i
\(449\) −4.85458 + 6.17310i −0.229102 + 0.291327i −0.886990 0.461789i \(-0.847208\pi\)
0.657888 + 0.753116i \(0.271450\pi\)
\(450\) 20.0405 7.65037i 0.944720 0.360642i
\(451\) −3.75360 0.178806i −0.176750 0.00841964i
\(452\) −10.5135 + 9.93151i −0.494512 + 0.467139i
\(453\) 24.3679 + 23.0033i 1.14490 + 1.08079i
\(454\) −1.47207 12.5600i −0.0690879 0.589470i
\(455\) −4.57573 2.94064i −0.214514 0.137860i
\(456\) 2.20700 + 2.43749i 0.103352 + 0.114146i
\(457\) −9.45708 27.3244i −0.442384 1.27818i −0.917316 0.398161i \(-0.869649\pi\)
0.474932 0.880023i \(-0.342473\pi\)
\(458\) −4.12034 + 15.2353i −0.192531 + 0.711900i
\(459\) 7.25804 + 28.0732i 0.338776 + 1.31035i
\(460\) 12.6808 17.6334i 0.591247 0.822160i
\(461\) 11.1337 9.64743i 0.518550 0.449326i −0.355842 0.934546i \(-0.615806\pi\)
0.874392 + 0.485220i \(0.161261\pi\)
\(462\) 4.31480 2.11027i 0.200743 0.0981785i
\(463\) 3.08264 + 32.2828i 0.143262 + 1.50031i 0.726025 + 0.687668i \(0.241366\pi\)
−0.582763 + 0.812642i \(0.698028\pi\)
\(464\) −10.3725 2.61887i −0.481530 0.121578i
\(465\) 19.5004 6.85853i 0.904310 0.318057i
\(466\) −6.12044 + 18.9938i −0.283524 + 0.879870i
\(467\) −2.60824 10.7513i −0.120695 0.497511i −0.999783 0.0208511i \(-0.993362\pi\)
0.879088 0.476660i \(1.84185\pi\)
\(468\) 3.12553 + 2.20061i 0.144478 + 0.101723i
\(469\) 20.8866 + 7.02808i 0.964452 + 0.324527i
\(470\) 15.0450 + 2.56599i 0.693976 + 0.118360i
\(471\) 0.461737 + 4.59273i 0.0212757 + 0.211622i
\(472\) 8.90845 + 6.76640i 0.410045 + 0.311449i
\(473\) −4.20391 8.15445i −0.193296 0.374942i
\(474\) −4.35580 35.6230i −0.200069 1.63622i
\(475\) −0.322585 3.37827i −0.0148012 0.155006i
\(476\) 27.3902 12.3549i 1.25543 0.566284i
\(477\) 13.5615 6.35798i 0.620938 0.291112i
\(478\) −0.560118 + 1.14625i −0.0256192 + 0.0524284i
\(479\) 8.79334 6.91516i 0.401778 0.315962i −0.396742 0.917930i \(-0.629859\pi\)
0.798520 + 0.601968i \(0.205617\pi\)
\(480\) 14.7091 + 27.3683i 0.671375 + 1.24919i
\(481\) 2.16604 + 6.25836i 0.0987629 + 0.285357i
\(482\) 14.9805 39.8804i 0.682344 1.81650i
\(483\) 10.3973 12.1210i 0.473091 0.551525i
\(484\) −20.9105 1.09371i −0.950475 0.0497143i
\(485\) 27.9003 + 19.8677i 1.26689 + 0.902146i
\(486\) −21.4298 + 5.17322i −0.972077 + 0.234662i
\(487\) −10.7486 0.512017i −0.487063 0.0232017i −0.197386 0.980326i \(-0.563245\pi\)
−0.289678 + 0.957124i \(0.593548\pi\)
\(488\) −38.1441 + 11.9003i −1.72670 + 0.538701i
\(489\) 18.9185 18.2202i 0.855525 0.823947i
\(490\) −0.484406 1.00313i −0.0218833 0.0453168i
\(491\) −5.06161 35.2043i −0.228427 1.58875i −0.704737 0.709469i \(-0.748935\pi\)
0.476310 0.879278i \(1.65803\pi\)
\(492\) 1.69283 17.7926i 0.0763187 0.802152i
\(493\) −12.5554 + 8.06884i −0.565465 + 0.363402i
\(494\) 0.467218 0.383941i 0.0210211 0.0172743i
\(495\) 6.74967 + 1.56615i 0.303375 + 0.0703934i
\(496\) 6.77325 + 13.4443i 0.304128 + 0.603666i
\(497\) −22.1408 7.66300i −0.993150 0.343733i
\(498\) −1.30056 1.42300i −0.0582793 0.0637663i
\(499\) −7.75593 + 4.47789i −0.347203 + 0.200458i −0.663453 0.748218i \(-0.730910\pi\)
0.316250 + 0.948676i \(0.397576\pi\)
\(500\) 0.0522580 0.351823i 0.00233705 0.0157340i
\(501\) −3.27663 1.86998i −0.146389 0.0835446i
\(502\) −35.9016 15.4730i −1.60237 0.690593i
\(503\) 2.95059 12.1625i 0.131560 0.542299i −0.867438 0.497546i \(-0.834235\pi\)
0.998998 0.0447533i \(-0.0142502\pi\)
\(504\) 9.05612 + 20.9731i 0.403392 + 0.934216i
\(505\) −17.9028 + 3.45048i −0.796663 + 0.153544i
\(506\) 3.30787 1.22501i 0.147053 0.0544581i
\(507\) −13.3984 + 17.2139i −0.595044 + 0.764496i
\(508\) −0.522603 0.414933i −0.0231868 0.0184097i
\(509\) 32.6428 + 14.9075i 1.44687 + 0.660762i 0.975263 0.221048i \(-0.0709477\pi\)
0.471605 + 0.881810i \(0.343675\pi\)
\(510\) 41.8990 + 11.1069i 1.85532 + 0.491823i
\(511\) 8.93069 + 7.73849i 0.395071 + 0.342331i
\(512\) −18.3944 + 13.1775i −0.812924 + 0.582370i
\(513\) −0.113676 + 3.48580i −0.00501894 + 0.153902i
\(514\) 0.529691 20.2679i 0.0233637 0.893980i
\(515\) −19.0163 26.7047i −0.837959 1.17675i
\(516\) 39.6851 18.1400i 1.74704 0.798570i
\(517\) 1.79392 + 1.71050i 0.0788967 + 0.0752278i
\(518\) −8.50318 + 38.6549i −0.373608 + 1.69840i
\(519\) 12.8233 18.1997i 0.562881 0.798880i
\(520\) 5.15720 2.46084i 0.226158 0.107915i
\(521\) −7.28919 24.8247i −0.319345 1.08759i −0.950188 0.311679i \(-0.899109\pi\)
0.630842 0.775911i \(-0.282709\pi\)
\(522\) −5.97986 9.64333i −0.261731 0.422077i
\(523\) 7.00920 36.3672i 0.306491 1.59023i −0.422931 0.906162i \(-0.638999\pi\)
0.729422 0.684064i \(-0.239789\pi\)
\(524\) 0.180824 38.8270i 0.00789934 1.69617i
\(525\) 5.44395 22.9403i 0.237593 1.00120i
\(526\) −21.0156 38.7011i −0.916322 1.68745i
\(527\) 20.1510 + 5.91687i 0.877792 + 0.257743i
\(528\) −0.501328 + 5.02113i −0.0218175 + 0.218516i
\(529\) −8.15813 + 7.77876i −0.354701 + 0.338207i
\(530\) 1.64930 22.3294i 0.0716412 0.969929i
\(531\) 1.80598 + 11.7272i 0.0783730 + 0.508915i
\(532\) 3.57968 0.497676i 0.155199 0.0215770i
\(533\) −3.25357 0.467793i −0.140928 0.0202624i
\(534\) 0.513415 7.45844i 0.0222176 0.322758i
\(535\) 37.7727i 1.63306i
\(536\) −17.8287 + 14.7695i −0.770083 + 0.637943i
\(537\) 18.2203 + 2.52676i 0.786264 + 0.109038i
\(538\) 0.579954 + 8.38310i 0.0250036 + 0.361421i
\(539\) 0.0257470 0.179074i 0.00110900 0.00771328i
\(540\) −8.95706 + 31.7148i −0.385451 + 1.36479i
\(541\) 6.65834 + 14.5797i 0.286264 + 0.626832i 0.997065 0.0765621i \(-0.0243943\pi\)
−0.710800 + 0.703394i \(0.751667\pi\)
\(542\) 25.8939 + 1.91258i 1.11224 + 0.0821524i
\(543\) 1.54692 1.11326i 0.0663849 0.0477745i
\(544\) −4.11230 + 31.2982i −0.176313 + 1.34190i
\(545\) 5.36209 18.2616i 0.229687 0.782242i
\(546\) 3.93257 1.47875i 0.168299 0.0632848i
\(547\) −0.0934971 + 0.979146i −0.00399765 + 0.0418653i −0.997251 0.0741024i \(-0.976391\pi\)
0.993253 + 0.115968i \(0.0369969\pi\)
\(548\) −14.8163 0.0690023i −0.632923 0.00294763i
\(549\) −37.8622 19.0425i −1.61592 0.812714i
\(550\) 3.51212 3.84543i 0.149757 0.163970i
\(551\) −1.72240 + 0.505743i −0.0733768 + 0.0215454i
\(552\) 5.07661 + 15.9904i 0.216075 + 0.680597i
\(553\) −35.0606 18.0750i −1.49093 0.768627i
\(554\) 1.53623 + 0.337936i 0.0652683 + 0.0143575i
\(555\) −44.7034 + 35.5183i −1.89755 + 1.50767i
\(556\) 9.54398 6.07093i 0.404755 0.257465i
\(557\) 4.51883 3.21785i 0.191469 0.136345i −0.480302 0.877103i \(-0.659473\pi\)
0.671772 + 0.740758i \(0.265534\pi\)
\(558\) −4.74500 + 15.2459i −0.200872 + 0.645412i
\(559\) −2.98254 7.45002i −0.126148 0.315102i
\(560\) 33.9640 + 3.56270i 1.43524 + 0.150551i
\(561\) 4.63658 + 5.29715i 0.195757 + 0.223646i
\(562\) −0.784102 + 6.43090i −0.0330753 + 0.271271i
\(563\) −4.13840 + 9.06183i −0.174413 + 0.381911i −0.976569 0.215203i \(-0.930959\pi\)
0.802157 + 0.597114i \(0.203686\pi\)
\(564\) −8.52939 + 8.13834i −0.359152 + 0.342686i
\(565\) −11.4657 + 19.8592i −0.482367 + 0.835484i
\(566\) −7.79176 21.0400i −0.327512 0.884378i
\(567\) −8.55392 + 22.6705i −0.359231 + 0.952070i
\(568\) 19.0895 15.5386i 0.800977 0.651986i
\(569\) −1.09226 0.264978i −0.0457897 0.0111085i 0.212799 0.977096i \(-0.431742\pi\)
−0.258588 + 0.965988i \(0.583257\pi\)
\(570\) 4.45906 + 2.70163i 0.186770 + 0.113159i
\(571\) −9.78124 + 24.4323i −0.409332 + 1.02246i 0.570260 + 0.821464i \(0.306843\pi\)
−0.979592 + 0.200998i \(0.935582\pi\)
\(572\) 0.917961 + 0.136349i 0.0383819 + 0.00570105i
\(573\) 9.55259 + 23.5197i 0.399065 + 0.982550i
\(574\) −15.1191 12.5427i −0.631059 0.523523i
\(575\) 5.66316 16.3626i 0.236170 0.682369i
\(576\) −23.7420 3.50987i −0.989248 0.146245i
\(577\) −1.15975 24.3461i −0.0482809 1.01354i −0.884907 0.465767i \(-0.845778\pi\)
0.836626 0.547774i \(-0.184525\pi\)
\(578\) 12.6961 + 15.4499i 0.528089 + 0.642631i
\(579\) 32.7869 15.1719i 1.36258 0.630521i
\(580\) −16.9467 + 0.728186i −0.703674 + 0.0302363i
\(581\) −2.09731 + 0.301547i −0.0870110 + 0.0125103i
\(582\) −25.1790 + 8.12305i −1.04370 + 0.336711i
\(583\) 2.24784 2.85836i 0.0930959 0.118381i
\(584\) −11.8512 + 3.69737i −0.490406 + 0.152998i
\(585\) 5.74705 + 1.92494i 0.237611 + 0.0795864i
\(586\) −29.1502 21.9277i −1.20418 0.905824i
\(587\) −24.2913 + 34.1124i −1.00261 + 1.40797i −0.0914989 + 0.995805i \(0.529166\pi\)
−0.911110 + 0.412163i \(0.864774\pi\)
\(588\) 0.844970 + 0.162554i 0.0348460 + 0.00670362i
\(589\) 2.12506 + 1.36570i 0.0875618 + 0.0562725i
\(590\) 16.6046 + 6.23727i 0.683600 + 0.256785i
\(591\) 28.7895 5.69816i 1.18424 0.234391i
\(592\) −29.8247 28.9729i −1.22579 1.19078i
\(593\) 26.1989 + 33.3146i 1.07586 + 1.36807i 0.925199 + 0.379483i \(0.123898\pi\)
0.150662 + 0.988585i \(0.451859\pi\)
\(594\) −4.08367 + 3.45971i −0.167555 + 0.141954i
\(595\) 36.0059 31.1993i 1.47610 1.27905i
\(596\) 5.95883 + 13.2105i 0.244083 + 0.541122i
\(597\) −1.12777 + 26.4575i −0.0461565 + 1.08283i
\(598\) 2.98218 0.791634i 0.121950 0.0323723i
\(599\) −25.1009 + 12.9404i −1.02560 + 0.528731i −0.887073 0.461628i \(-0.847265\pi\)
−0.138522 + 0.990359i \(0.544235\pi\)
\(600\) 17.4800 + 17.5495i 0.713617 + 0.716456i
\(601\) 4.83990 + 19.9503i 0.197424 + 0.813792i 0.981239 + 0.192797i \(0.0617559\pi\)
−0.783815 + 0.620994i \(0.786729\pi\)
\(602\) 8.06324 47.2768i 0.328633 1.92686i
\(603\) −24.4841 1.87885i −0.997069 0.0765128i
\(604\) −12.8259 + 36.5070i −0.521877 + 1.48545i
\(605\) −32.2644 + 7.82725i −1.31173 + 0.318223i
\(606\) 6.11972 12.6841i 0.248597 0.515256i
\(607\) −13.0368 25.2880i −0.529149 1.02641i −0.990282 0.139075i \(-0.955587\pi\)
0.461133 0.887331i \(1.65256\pi\)
\(608\) −1.53517 + 3.47268i −0.0622595 + 0.140836i
\(609\) −12.4603 0.531129i −0.504918 0.0215224i
\(610\) −52.5499 + 35.3887i −2.12768 + 1.43285i
\(611\) 1.41983 + 1.63858i 0.0574404 + 0.0662897i
\(612\) −26.2077 + 20.8375i −1.05938 + 0.842308i
\(613\) −7.19186 + 5.65574i −0.290476 + 0.228433i −0.752754 0.658302i \(-0.771275\pi\)
0.462277 + 0.886735i \(0.347032\pi\)
\(614\) −33.6647 9.10450i −1.35860 0.367428i
\(615\) −5.50221 27.7995i −0.221870 1.12098i
\(616\) 4.25206 + 3.56104i 0.171320 + 0.143478i
\(617\) −14.6781 + 22.8396i −0.590918 + 0.919487i 0.409057 + 0.912509i \(0.365858\pi\)
−0.999976 + 0.00697814i \(0.997779\pi\)
\(618\) 25.3175 + 0.534999i 1.01842 + 0.0215208i
\(619\) −18.8152 13.3982i −0.756246 0.538520i 0.135652 0.990756i \(-0.456687\pi\)
−0.891898 + 0.452236i \(0.850626\pi\)
\(620\) 16.3910 + 17.3515i 0.658280 + 0.696853i
\(621\) −7.91581 + 15.9370i −0.317650 + 0.639530i
\(622\) −5.24245 + 3.90543i −0.210203 + 0.156594i
\(623\) −6.45910 5.07949i −0.258778 0.203505i
\(624\) −0.854020 + 4.33046i −0.0341882 + 0.173357i
\(625\) 3.51752 + 24.4649i 0.140701 + 0.978595i
\(626\) −2.21953 10.3186i −0.0887102 0.412415i
\(627\) 0.355592 + 0.768446i 0.0142010 + 0.0306888i
\(628\) −4.62825 + 2.64346i −0.184687 + 0.105485i
\(629\) −57.9427 + 2.76015i −2.31033 + 0.110054i
\(630\) 23.2757 + 27.7537i 0.927328 + 1.10573i
\(631\) −12.6954 4.39392i −0.505396 0.174919i 0.0624595 0.998048i \(-0.480106\pi\)
−0.567856 + 0.823128i \(0.692227\pi\)
\(632\) 35.5348 21.3206i 1.41350 0.848087i
\(633\) −27.6562 + 11.2326i −1.09923 + 0.446457i
\(634\) 24.3296 0.522471i 0.966253 0.0207500i
\(635\) −0.982251 0.393234i −0.0389795 0.0156050i
\(636\) 13.0746 + 11.3213i 0.518441 + 0.448920i
\(637\) 0.0373086 0.153788i 0.00147822 0.00609331i
\(638\) −2.34893 1.43926i −0.0929952 0.0569809i
\(639\) 26.0126 + 2.22164i 1.02904 + 0.0878867i
\(640\) −21.9657 + 28.3670i −0.868272 + 1.12130i
\(641\) −24.7123 14.2677i −0.976078 0.563539i −0.0749942 0.997184i \(-0.523894\pi\)
−0.901084 + 0.433645i \(0.857227\pi\)
\(642\) −23.4040 17.4226i −0.923681 0.687616i
\(643\) −2.33112 1.06459i −0.0919305 0.0419833i 0.368919 0.929462i \(-0.379728\pi\)
−0.460850 + 0.887478i \(0.652455\pi\)
\(644\) 17.6685 + 5.27745i 0.696238 + 0.207961i
\(645\) 52.0596 45.5676i 2.04984 1.79422i
\(646\) 2.07381 + 4.87413i 0.0815928 + 0.191770i
\(647\) −29.4188 + 11.7775i −1.15657 + 0.463022i −0.869036 0.494748i \(-0.835260\pi\)
−0.287536 + 0.957770i \(0.592836\pi\)
\(648\) −15.5190 20.1782i −0.609645 0.792674i
\(649\) 1.67096 + 2.34654i 0.0655909 + 0.0921096i
\(650\) 3.37791 3.05639i 0.132492 0.119881i
\(651\) 10.9175 + 13.7408i 0.427891 + 0.538543i
\(652\) 28.1037 + 11.4032i 1.10062 + 0.446582i
\(653\) −16.8821 + 32.7466i −0.660646 + 1.28147i 0.285700 + 0.958319i \(0.407774\pi\)
−0.946346 + 0.323155i \(0.895256\pi\)
\(654\) 8.84163 + 11.7455i 0.345735 + 0.459285i
\(655\) −17.3444 59.0697i −0.677703 2.30805i
\(656\) 19.5649 6.56805i 0.763879 0.256439i
\(657\) −11.7636 5.91642i −0.458942 0.230821i
\(658\) 2.11901 + 12.7832i 0.0826075 + 0.498342i
\(659\) −4.60951 0.440154i −0.179561 0.0171460i 0.00488822 0.999988i \(-0.498444\pi\)
−0.184449 + 0.982842i \(0.559050\pi\)
\(660\) 1.51688 + 7.85581i 0.0590443 + 0.305787i
\(661\) −11.2048 3.29003i −0.435817 0.127967i 0.0564623 0.998405i \(-0.482018\pi\)
−0.492279 + 0.870437i \(0.663836\pi\)
\(662\) 0.703178 + 1.15970i 0.0273298 + 0.0450732i
\(663\) 3.59686 + 4.99801i 0.139691 + 0.194106i
\(664\) 0.890548 2.04012i 0.0345599 0.0791721i
\(665\) 5.21257 2.38050i 0.202135 0.0923119i
\(666\) −1.38775 44.0810i −0.0537742 1.70810i
\(667\) −9.06579 1.30346i −0.351029 0.0504703i
\(668\) 0.434286 4.33462i 0.0168030 0.167711i
\(669\) 2.96016 21.3455i 0.114446 0.825264i
\(670\) −20.3840 + 30.5288i −0.787502 + 1.17943i
\(671\) −10.2893 −0.397214
\(672\) −17.8733 + 19.4008i −0.689478 + 0.748402i
\(673\) 2.76286 19.2161i 0.106500 0.740726i −0.864670 0.502340i \(-0.832473\pi\)
0.971171 0.238386i \(-0.0766183\pi\)
\(674\) 9.26626 + 29.2218i 0.356923 + 1.12558i
\(675\) 0.394070 + 26.2692i 0.0151678 + 1.01110i
\(676\) −24.4503 6.05229i −0.940396 0.232780i
\(677\) 24.2581 + 25.4411i 0.932314 + 0.977783i 0.999801 0.0199375i \(-0.00634672\pi\)
−0.0674874 + 0.997720i \(0.521498\pi\)
\(678\) −7.01622 16.2642i −0.269456 0.624623i
\(679\) −8.19258 + 27.9014i −0.314402 + 1.07076i
\(680\) 7.95509 + 49.4156i 0.305064 + 1.89500i
\(681\) 15.0696 + 3.57615i 0.577467 + 0.137038i
\(682\) 0.633942 + 3.82435i 0.0242749 + 0.146442i
\(683\) 39.1945 + 7.55413i 1.49974 + 0.289051i 0.872051 0.489415i \(-0.162790\pi\)
0.627687 + 0.778466i \(0.284002\pi\)
\(684\) −3.73066 + 1.51671i −0.142646 + 0.0579928i
\(685\) −22.5409 + 6.61861i −0.861245 + 0.252884i
\(686\) −18.2195 + 18.1349i −0.695624 + 0.692392i
\(687\) −15.8014 11.1335i −0.602861 0.424769i
\(688\) 37.7693 + 33.3482i 1.43994 + 1.27139i
\(689\) 2.19496 2.30201i 0.0836214 0.0876996i
\(690\) 14.9688 + 21.9896i 0.569853 + 0.837131i
\(691\) 11.9005 8.47430i 0.452716 0.322377i −0.330853 0.943682i \(-0.607336\pi\)
0.783569 + 0.621305i \(0.213397\pi\)
\(692\) 25.2203 + 4.98274i 0.958732 + 0.189415i
\(693\) 0.617718 + 5.85018i 0.0234652 + 0.222230i
\(694\) 13.4803 + 31.6831i 0.511704 + 1.20267i
\(695\) 11.7447 13.5541i 0.445503 0.514138i
\(696\) 7.36547 10.8361i 0.279187 0.410740i
\(697\) 11.9605 26.1898i 0.453035 0.992009i
\(698\) 35.7593 + 19.6343i 1.35351 + 0.743170i
\(699\) −19.2868 15.0118i −0.729493 0.567800i
\(700\) 26.7565 5.02778i 1.01130 0.190032i
\(701\) 3.16019 + 16.3966i 0.119359 + 0.619292i 0.991507 + 0.130051i \(0.0415140\pi\)
−0.872149 + 0.489241i \(0.837274\pi\)
\(702\) −3.84351 + 2.67299i −0.145064 + 0.100886i
\(703\) −6.78052 1.64494i −0.255732 0.0620400i
\(704\) −5.53235 + 1.82862i −0.208508 + 0.0689187i
\(705\) −9.26515 + 16.2346i −0.348946 + 0.611432i
\(706\) −3.58223 + 0.0769272i −0.134819 + 0.00289519i
\(707\) −7.73957 13.4053i −0.291077 0.504159i
\(708\) −11.5235 + 7.41126i −0.433078 + 0.278532i
\(709\) 6.75902 19.5289i 0.253840 0.733424i −0.744027 0.668150i \(-0.767087\pi\)
0.997867 0.0652743i \(-0.0207922\pi\)
\(710\) 21.9503 32.2695i 0.823782 1.21105i
\(711\) 42.8165 + 9.93488i 1.60574 + 0.372587i
\(712\) 8.10923 2.96023i 0.303906 0.110939i
\(713\) 6.96803 + 10.8425i 0.260955 + 0.406054i
\(714\) 2.72339 + 36.6999i 0.101920 + 1.37346i
\(715\) 1.45648 0.209410i 0.0544692 0.00783149i
\(716\) 5.88912 + 20.4076i 0.220087 + 0.762668i
\(717\) −1.08390 1.12544i −0.0404789 0.0420302i
\(718\) −26.4518 + 19.7056i −0.987171 + 0.735406i
\(719\) 0.0411406 0.863647i 0.00153428 0.0322086i −0.997970 0.0636800i \(-0.979716\pi\)
0.999505 + 0.0314714i \(0.0100193\pi\)
\(720\) −37.6625 + 5.44142i −1.40360 + 0.202790i
\(721\) 16.1448 22.6722i 0.601264 0.844357i
\(722\) −3.05369 26.0546i −0.113647 0.969652i
\(723\) 39.6021 + 33.9702i 1.47282 + 1.26337i
\(724\) 1.90072 + 1.10922i 0.0706397 + 0.0412237i
\(725\) −12.7787 + 4.42276i −0.474590 + 0.164257i
\(726\) 10.0321 23.6013i 0.372328 0.875926i
\(727\) −0.557914 0.709446i −0.0206919 0.0263119i 0.775597 0.631228i \(-0.217449\pi\)
−0.796289 + 0.604916i \(0.793206\pi\)
\(728\) 3.40639 + 3.45432i 0.126249 + 0.128025i
\(729\) 3.03913 26.8284i 0.112560 0.993645i
\(730\) −16.3270 + 10.9951i −0.604290 + 0.406947i
\(731\) 69.9727 6.68158i 2.58803 0.247127i
\(732\) 2.31178 48.8829i 0.0854458 1.80676i
\(733\) 40.1467 20.6971i 1.48285 0.764464i 0.488701 0.872451i \(-0.337471\pi\)
0.994152 + 0.107987i \(0.0344406\pi\)
\(734\) −1.87072 + 5.80546i −0.0690494 + 0.214284i
\(735\) 1.35748 0.136476i 0.0500714 0.00503400i
\(736\) −14.4853 + 12.8632i −0.533936 + 0.474145i
\(737\) −5.51539 + 2.26333i −0.203162 + 0.0833709i
\(738\) 19.7624 + 9.41330i 0.727464 + 0.346508i
\(739\) −16.4468 + 3.98994i −0.605004 + 0.146772i −0.526548 0.850145i \(-0.676514\pi\)
−0.0784557 + 0.996918i \(0.524999\pi\)
\(740\) −58.4584 30.4829i −2.14898 1.12057i
\(741\) 0.245738 + 0.698690i 0.00902740 + 0.0256670i
\(742\) 18.3730 4.87720i 0.674493 0.179048i
\(743\) −22.8843 + 2.18518i −0.839542 + 0.0801665i −0.505962 0.862556i \(-0.668863\pi\)
−0.333579 + 0.942722i \(0.608257\pi\)
\(744\) −18.3113 + 2.15252i −0.671326 + 0.0789151i
\(745\) 15.0476 + 17.3659i 0.551303 + 0.636237i
\(746\) 3.53780 7.23992i 0.129528 0.265072i
\(747\) 2.18304 0.899390i 0.0798733 0.0329070i
\(748\) −3.41121 + 7.37839i −0.124726 + 0.269781i
\(749\) −30.3052 + 10.4887i −1.10733 + 0.383250i