Properties

Label 547.2.o.a.4.13
Level 547
Weight 2
Character 547.4
Analytic conductor 4.368
Analytic rank 0
Dimension 6480
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 547 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 547.o (of order \(273\), degree \(144\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36781699056\)
Analytic rank: \(0\)
Dimension: \(6480\)
Relative dimension: \(45\) over \(\Q(\zeta_{273})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{273}]$

Embedding invariants

Embedding label 4.13
Character \(\chi\) \(=\) 547.4
Dual form 547.2.o.a.137.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.37136 - 0.0157819i) q^{2} +(0.455404 - 1.99525i) q^{3} +(-0.119088 - 0.00274133i) q^{4} +(-0.496687 + 0.933269i) q^{5} +(-0.656012 + 2.72903i) q^{6} +(0.132038 + 0.325368i) q^{7} +(2.90454 + 0.100313i) q^{8} +(-1.07074 - 0.515640i) q^{9} +O(q^{10})\) \(q+(-1.37136 - 0.0157819i) q^{2} +(0.455404 - 1.99525i) q^{3} +(-0.119088 - 0.00274133i) q^{4} +(-0.496687 + 0.933269i) q^{5} +(-0.656012 + 2.72903i) q^{6} +(0.132038 + 0.325368i) q^{7} +(2.90454 + 0.100313i) q^{8} +(-1.07074 - 0.515640i) q^{9} +(0.695866 - 1.27201i) q^{10} +(0.249485 + 0.259742i) q^{11} +(-0.0597026 + 0.236362i) q^{12} +(2.70982 + 0.408440i) q^{13} +(-0.175937 - 0.448281i) q^{14} +(1.63592 + 1.41603i) q^{15} +(-3.74360 - 0.172442i) q^{16} +(0.171912 - 1.02069i) q^{17} +(1.46023 + 0.724027i) q^{18} +(-0.153460 + 0.0828083i) q^{19} +(0.0617077 - 0.109779i) q^{20} +(0.709322 - 0.115276i) q^{21} +(-0.338035 - 0.360137i) q^{22} +(7.82623 + 1.83373i) q^{23} +(1.52289 - 5.74961i) q^{24} +(2.16849 + 3.22025i) q^{25} +(-3.70969 - 0.602884i) q^{26} +(2.31159 - 2.89864i) q^{27} +(-0.0148322 - 0.0391093i) q^{28} +(-6.27863 - 3.57696i) q^{29} +(-2.22108 - 1.96771i) q^{30} +(1.19682 + 0.430414i) q^{31} +(-0.671812 - 0.0386976i) q^{32} +(0.631867 - 0.379499i) q^{33} +(-0.251862 + 1.39702i) q^{34} +(-0.369237 - 0.0383789i) q^{35} +(0.126098 + 0.0643416i) q^{36} +(7.12842 - 5.75213i) q^{37} +(0.211756 - 0.111138i) q^{38} +(2.04900 - 5.22077i) q^{39} +(-1.53627 + 2.66089i) q^{40} +(-1.72771 - 2.99247i) q^{41} +(-0.974556 + 0.146891i) q^{42} +(0.900165 - 9.17335i) q^{43} +(-0.0289986 - 0.0316159i) q^{44} +(1.01305 - 0.743174i) q^{45} +(-10.7037 - 2.63821i) q^{46} +(-6.52365 + 0.526643i) q^{47} +(-2.04892 + 7.39091i) q^{48} +(4.93200 - 4.79212i) q^{49} +(-2.92296 - 4.45034i) q^{50} +(-1.95825 - 0.807835i) q^{51} +(-0.321586 - 0.0560686i) q^{52} +(-6.03331 + 2.09168i) q^{53} +(-3.21577 + 3.93860i) q^{54} +(-0.366325 + 0.103826i) q^{55} +(0.350871 + 0.958289i) q^{56} +(0.0953373 + 0.343903i) q^{57} +(8.55382 + 5.00439i) q^{58} +(0.308510 - 0.131444i) q^{59} +(-0.190936 - 0.173116i) q^{60} +(-1.90840 + 0.892129i) q^{61} +(-1.63447 - 0.609140i) q^{62} +(0.0263944 - 0.416468i) q^{63} +(8.39797 + 0.580769i) q^{64} +(-1.72712 + 2.32612i) q^{65} +(-0.872507 + 0.510458i) q^{66} +(-2.77323 - 2.69457i) q^{67} +(-0.0232707 + 0.121081i) q^{68} +(7.22284 - 14.7802i) q^{69} +(0.505752 + 0.0584586i) q^{70} +(8.11843 - 1.60879i) q^{71} +(-3.05827 - 1.60511i) q^{72} +(6.32273 - 5.47289i) q^{73} +(-9.86641 + 7.77575i) q^{74} +(7.41275 - 2.86018i) q^{75} +(0.0185022 - 0.00944077i) q^{76} +(-0.0515700 + 0.115470i) q^{77} +(-2.89231 + 7.12723i) q^{78} +(11.5980 + 8.30471i) q^{79} +(2.02033 - 3.40814i) q^{80} +(-6.95373 - 8.71971i) q^{81} +(2.32208 + 4.13103i) q^{82} +(9.74144 + 6.16011i) q^{83} +(-0.0847875 + 0.0117835i) q^{84} +(0.867193 + 0.667405i) q^{85} +(-1.37922 + 12.5658i) q^{86} +(-9.99625 + 10.8985i) q^{87} +(0.698584 + 0.779456i) q^{88} +(0.693225 + 8.01209i) q^{89} +(-1.40099 + 1.00317i) q^{90} +(0.224907 + 0.935618i) q^{91} +(-0.926981 - 0.239828i) q^{92} +(1.40382 - 2.19194i) q^{93} +(8.95459 - 0.619263i) q^{94} +(-0.00106073 - 0.184349i) q^{95} +(-0.383157 + 1.32281i) q^{96} +(-0.936244 - 7.03329i) q^{97} +(-6.83919 + 6.49389i) q^{98} +(-0.133200 - 0.406759i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} + O(q^{10}) \) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} - 152q^{10} - 161q^{11} - 99q^{12} - 158q^{13} - 174q^{14} - 71q^{15} - 235q^{16} - 146q^{17} + 33q^{18} - 144q^{19} - 138q^{20} - 98q^{21} - 226q^{22} - 115q^{23} - 123q^{24} - 208q^{25} - 65q^{26} + 131q^{27} - 48q^{28} - 207q^{29} - 56q^{30} - 215q^{31} - 151q^{32} - 63q^{33} - 70q^{34} - 192q^{35} - 17q^{36} - 124q^{37} - 61q^{38} - 268q^{39} - 51q^{40} + 533q^{41} + 292q^{42} - 166q^{43} - 20q^{44} + 51q^{45} - 233q^{46} - 96q^{47} - 211q^{48} - 213q^{49} + 12q^{50} - 213q^{51} - 279q^{52} - 178q^{53} + 173q^{54} - 233q^{55} + 170q^{56} - 22q^{57} + 36q^{58} - 133q^{59} + 225q^{60} - 117q^{61} - 176q^{62} + 202q^{63} + 154q^{64} - 320q^{65} - 124q^{66} - 78q^{67} + 441q^{68} + 203q^{69} - 522q^{70} - 195q^{71} + 564q^{72} - 254q^{73} + 22q^{74} - 326q^{75} - 186q^{76} - 182q^{77} - 100q^{78} - 268q^{79} - 299q^{80} - 776q^{81} - 242q^{82} + 78q^{83} + 162q^{84} - 144q^{85} - 132q^{86} - 84q^{87} + 333q^{88} - 167q^{89} - 134q^{90} - 268q^{91} - 261q^{92} - 21q^{93} + 297q^{94} - 65q^{95} - 567q^{96} + 427q^{97} - 237q^{98} + 237q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{273}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.37136 0.0157819i −0.969699 0.0111595i −0.474785 0.880102i \(-0.657474\pi\)
−0.494914 + 0.868942i \(0.664800\pi\)
\(3\) 0.455404 1.99525i 0.262927 1.15196i −0.655131 0.755515i \(-0.727387\pi\)
0.918059 0.396445i \(-0.129756\pi\)
\(4\) −0.119088 0.00274133i −0.0595438 0.00137066i
\(5\) −0.496687 + 0.933269i −0.222125 + 0.417371i −0.968809 0.247809i \(-0.920290\pi\)
0.746684 + 0.665179i \(0.231645\pi\)
\(6\) −0.656012 + 2.72903i −0.267816 + 1.11412i
\(7\) 0.132038 + 0.325368i 0.0499058 + 0.122977i 0.949518 0.313711i \(-0.101572\pi\)
−0.899613 + 0.436689i \(0.856151\pi\)
\(8\) 2.90454 + 0.100313i 1.02691 + 0.0354661i
\(9\) −1.07074 0.515640i −0.356912 0.171880i
\(10\) 0.695866 1.27201i 0.220052 0.402245i
\(11\) 0.249485 + 0.259742i 0.0752226 + 0.0783150i 0.757750 0.652545i \(-0.226299\pi\)
−0.682527 + 0.730860i \(0.739119\pi\)
\(12\) −0.0597026 + 0.236362i −0.0172347 + 0.0682317i
\(13\) 2.70982 + 0.408440i 0.751569 + 0.113281i 0.513645 0.858003i \(-0.328295\pi\)
0.237924 + 0.971284i \(0.423533\pi\)
\(14\) −0.175937 0.448281i −0.0470212 0.119808i
\(15\) 1.63592 + 1.41603i 0.422391 + 0.365618i
\(16\) −3.74360 0.172442i −0.935901 0.0431106i
\(17\) 0.171912 1.02069i 0.0416948 0.247554i −0.957464 0.288551i \(-0.906826\pi\)
0.999159 + 0.0409973i \(0.0130535\pi\)
\(18\) 1.46023 + 0.724027i 0.344179 + 0.170655i
\(19\) −0.153460 + 0.0828083i −0.0352062 + 0.0189975i −0.492390 0.870375i \(-0.663877\pi\)
0.457184 + 0.889372i \(0.348858\pi\)
\(20\) 0.0617077 0.109779i 0.0137983 0.0245474i
\(21\) 0.709322 0.115276i 0.154787 0.0251553i
\(22\) −0.338035 0.360137i −0.0720693 0.0767814i
\(23\) 7.82623 + 1.83373i 1.63188 + 0.382358i 0.940409 0.340044i \(-0.110442\pi\)
0.691473 + 0.722403i \(0.256962\pi\)
\(24\) 1.52289 5.74961i 0.310858 1.17363i
\(25\) 2.16849 + 3.22025i 0.433698 + 0.644049i
\(26\) −3.70969 0.602884i −0.727531 0.118235i
\(27\) 2.31159 2.89864i 0.444865 0.557843i
\(28\) −0.0148322 0.0391093i −0.00280302 0.00739096i
\(29\) −6.27863 3.57696i −1.16591 0.664225i −0.215893 0.976417i \(-0.569266\pi\)
−0.950019 + 0.312192i \(0.898937\pi\)
\(30\) −2.22108 1.96771i −0.405512 0.359253i
\(31\) 1.19682 + 0.430414i 0.214954 + 0.0773046i 0.443676 0.896187i \(-0.353674\pi\)
−0.228721 + 0.973492i \(0.573454\pi\)
\(32\) −0.671812 0.0386976i −0.118761 0.00684084i
\(33\) 0.631867 0.379499i 0.109994 0.0660623i
\(34\) −0.251862 + 1.39702i −0.0431940 + 0.239588i
\(35\) −0.369237 0.0383789i −0.0624125 0.00648721i
\(36\) 0.126098 + 0.0643416i 0.0210163 + 0.0107236i
\(37\) 7.12842 5.75213i 1.17190 0.945645i 0.172678 0.984978i \(-0.444758\pi\)
0.999226 + 0.0393333i \(0.0125234\pi\)
\(38\) 0.211756 0.111138i 0.0343514 0.0180290i
\(39\) 2.04900 5.22077i 0.328103 0.835992i
\(40\) −1.53627 + 2.66089i −0.242905 + 0.420724i
\(41\) −1.72771 2.99247i −0.269822 0.467346i 0.698994 0.715128i \(-0.253632\pi\)
−0.968816 + 0.247782i \(0.920298\pi\)
\(42\) −0.974556 + 0.146891i −0.150377 + 0.0226657i
\(43\) 0.900165 9.17335i 0.137274 1.39892i −0.639330 0.768933i \(-0.720788\pi\)
0.776603 0.629990i \(-0.216941\pi\)
\(44\) −0.0289986 0.0316159i −0.00437170 0.00476628i
\(45\) 1.01305 0.743174i 0.151017 0.110786i
\(46\) −10.7037 2.63821i −1.57817 0.388983i
\(47\) −6.52365 + 0.526643i −0.951572 + 0.0768188i −0.546494 0.837463i \(-0.684038\pi\)
−0.405078 + 0.914282i \(0.632756\pi\)
\(48\) −2.04892 + 7.39091i −0.295736 + 1.06679i
\(49\) 4.93200 4.79212i 0.704572 0.684588i
\(50\) −2.92296 4.45034i −0.413369 0.629374i
\(51\) −1.95825 0.807835i −0.274210 0.113120i
\(52\) −0.321586 0.0560686i −0.0445960 0.00777532i
\(53\) −6.03331 + 2.09168i −0.828739 + 0.287315i −0.708749 0.705460i \(-0.750740\pi\)
−0.119989 + 0.992775i \(0.538286\pi\)
\(54\) −3.21577 + 3.93860i −0.437611 + 0.535976i
\(55\) −0.366325 + 0.103826i −0.0493952 + 0.0140000i
\(56\) 0.350871 + 0.958289i 0.0468872 + 0.128057i
\(57\) 0.0953373 + 0.343903i 0.0126277 + 0.0455511i
\(58\) 8.55382 + 5.00439i 1.12317 + 0.657109i
\(59\) 0.308510 0.131444i 0.0401646 0.0171125i −0.371791 0.928317i \(-0.621256\pi\)
0.411956 + 0.911204i \(0.364846\pi\)
\(60\) −0.190936 0.173116i −0.0246497 0.0223492i
\(61\) −1.90840 + 0.892129i −0.244345 + 0.114225i −0.541791 0.840513i \(-0.682254\pi\)
0.297446 + 0.954739i \(0.403865\pi\)
\(62\) −1.63447 0.609140i −0.207578 0.0773609i
\(63\) 0.0263944 0.416468i 0.00332538 0.0524700i
\(64\) 8.39797 + 0.580769i 1.04975 + 0.0725962i
\(65\) −1.72712 + 2.32612i −0.214222 + 0.288520i
\(66\) −0.872507 + 0.510458i −0.107398 + 0.0628330i
\(67\) −2.77323 2.69457i −0.338804 0.329194i 0.507743 0.861509i \(-0.330480\pi\)
−0.846547 + 0.532314i \(0.821322\pi\)
\(68\) −0.0232707 + 0.121081i −0.00282198 + 0.0146832i
\(69\) 7.22284 14.7802i 0.869528 1.77933i
\(70\) 0.505752 + 0.0584586i 0.0604490 + 0.00698713i
\(71\) 8.11843 1.60879i 0.963480 0.190928i 0.312412 0.949947i \(-0.398863\pi\)
0.651068 + 0.759019i \(0.274321\pi\)
\(72\) −3.05827 1.60511i −0.360421 0.189163i
\(73\) 6.32273 5.47289i 0.740020 0.640554i −0.200733 0.979646i \(-0.564332\pi\)
0.940753 + 0.339092i \(0.110120\pi\)
\(74\) −9.86641 + 7.77575i −1.14695 + 0.903913i
\(75\) 7.41275 2.86018i 0.855950 0.330265i
\(76\) 0.0185022 0.00944077i 0.00212235 0.00108293i
\(77\) −0.0515700 + 0.115470i −0.00587694 + 0.0131591i
\(78\) −2.89231 + 7.12723i −0.327490 + 0.806999i
\(79\) 11.5980 + 8.30471i 1.30488 + 0.934352i 0.999838 0.0179872i \(-0.00572581\pi\)
0.305040 + 0.952340i \(0.401330\pi\)
\(80\) 2.02033 3.40814i 0.225880 0.381041i
\(81\) −6.95373 8.71971i −0.772637 0.968856i
\(82\) 2.32208 + 4.13103i 0.256431 + 0.456196i
\(83\) 9.74144 + 6.16011i 1.06926 + 0.676160i 0.948582 0.316531i \(-0.102518\pi\)
0.120680 + 0.992691i \(0.461493\pi\)
\(84\) −0.0847875 + 0.0117835i −0.00925108 + 0.00128568i
\(85\) 0.867193 + 0.667405i 0.0940603 + 0.0723902i
\(86\) −1.37922 + 12.5658i −0.148726 + 1.35500i
\(87\) −9.99625 + 10.8985i −1.07171 + 1.16844i
\(88\) 0.698584 + 0.779456i 0.0744693 + 0.0830903i
\(89\) 0.693225 + 8.01209i 0.0734817 + 0.849279i 0.937990 + 0.346661i \(0.112685\pi\)
−0.864509 + 0.502618i \(0.832370\pi\)
\(90\) −1.40099 + 1.00317i −0.147677 + 0.105744i
\(91\) 0.224907 + 0.935618i 0.0235766 + 0.0980794i
\(92\) −0.926981 0.239828i −0.0966444 0.0250038i
\(93\) 1.40382 2.19194i 0.145569 0.227294i
\(94\) 8.95459 0.619263i 0.923596 0.0638721i
\(95\) −0.00106073 0.184349i −0.000108828 0.0189139i
\(96\) −0.383157 + 1.32281i −0.0391058 + 0.135009i
\(97\) −0.936244 7.03329i −0.0950612 0.714122i −0.972245 0.233967i \(-0.924829\pi\)
0.877183 0.480155i \(-0.159420\pi\)
\(98\) −6.83919 + 6.49389i −0.690862 + 0.655982i
\(99\) −0.133200 0.406759i −0.0133871 0.0408809i
\(100\) −0.249413 0.389436i −0.0249413 0.0389436i
\(101\) 4.82523 + 6.49874i 0.480128 + 0.646649i 0.974971 0.222334i \(-0.0713675\pi\)
−0.494842 + 0.868983i \(0.664774\pi\)
\(102\) 2.67272 + 1.13874i 0.264638 + 0.112752i
\(103\) 7.00892 + 15.2208i 0.690609 + 1.49975i 0.857886 + 0.513839i \(0.171777\pi\)
−0.167277 + 0.985910i \(0.553497\pi\)
\(104\) 7.82980 + 1.45816i 0.767775 + 0.142984i
\(105\) −0.244728 + 0.719244i −0.0238830 + 0.0701911i
\(106\) 8.30686 2.77324i 0.806833 0.269361i
\(107\) −6.71407 + 1.65487i −0.649073 + 0.159982i −0.550088 0.835107i \(-0.685406\pi\)
−0.0989853 + 0.995089i \(0.531560\pi\)
\(108\) −0.283228 + 0.338855i −0.0272536 + 0.0326064i
\(109\) −4.43724 8.57399i −0.425011 0.821239i −0.999995 0.00307498i \(-0.999021\pi\)
0.574984 0.818164i \(-0.305008\pi\)
\(110\) 0.504002 0.136602i 0.0480547 0.0130245i
\(111\) −8.23066 16.8425i −0.781219 1.59862i
\(112\) −0.438191 1.24082i −0.0414052 0.117246i
\(113\) 0.268843 + 9.34225i 0.0252906 + 0.878845i 0.910465 + 0.413586i \(0.135724\pi\)
−0.885175 + 0.465259i \(0.845961\pi\)
\(114\) −0.125314 0.473120i −0.0117368 0.0443118i
\(115\) −5.59855 + 6.39319i −0.522067 + 0.596168i
\(116\) 0.737902 + 0.443183i 0.0685124 + 0.0411486i
\(117\) −2.69090 1.83462i −0.248773 0.169611i
\(118\) −0.425154 + 0.175388i −0.0391386 + 0.0161458i
\(119\) 0.354799 0.0788356i 0.0325244 0.00722685i
\(120\) 4.60953 + 4.27702i 0.420791 + 0.390437i
\(121\) 0.437703 10.8615i 0.0397911 0.987407i
\(122\) 2.63118 1.19331i 0.238216 0.108037i
\(123\) −6.75755 + 2.08443i −0.609307 + 0.187946i
\(124\) −0.141346 0.0545378i −0.0126933 0.00489764i
\(125\) −9.34013 + 0.970822i −0.835407 + 0.0868329i
\(126\) −0.0427689 + 0.570711i −0.00381015 + 0.0508430i
\(127\) −4.48561 + 12.2509i −0.398033 + 1.08710i 0.566713 + 0.823915i \(0.308215\pi\)
−0.964747 + 0.263181i \(0.915228\pi\)
\(128\) −10.1660 0.820684i −0.898556 0.0725389i
\(129\) −17.8932 5.97363i −1.57541 0.525949i
\(130\) 2.40521 3.16270i 0.210951 0.277387i
\(131\) 7.87609 + 1.65518i 0.688137 + 0.144614i 0.536598 0.843838i \(-0.319709\pi\)
0.151539 + 0.988451i \(0.451577\pi\)
\(132\) −0.0762879 + 0.0434615i −0.00664001 + 0.00378284i
\(133\) −0.0472058 0.0389971i −0.00409326 0.00338148i
\(134\) 3.76057 + 3.73900i 0.324864 + 0.323000i
\(135\) 1.55707 + 3.59705i 0.134012 + 0.309585i
\(136\) 0.601715 2.94739i 0.0515966 0.252737i
\(137\) −11.8097 + 0.271853i −1.00897 + 0.0232259i −0.524355 0.851500i \(-0.675693\pi\)
−0.484618 + 0.874726i \(0.661041\pi\)
\(138\) −10.1384 + 20.1550i −0.863037 + 1.71571i
\(139\) 5.22288 + 2.36872i 0.442999 + 0.200912i 0.622132 0.782913i \(-0.286267\pi\)
−0.179133 + 0.983825i \(0.557329\pi\)
\(140\) 0.0438664 + 0.00558265i 0.00370739 + 0.000471820i
\(141\) −1.92011 + 13.2562i −0.161702 + 1.11637i
\(142\) −11.1587 + 2.07810i −0.936416 + 0.174391i
\(143\) 0.569971 + 0.805752i 0.0476634 + 0.0673804i
\(144\) 3.91950 + 2.11499i 0.326625 + 0.176249i
\(145\) 6.45678 4.08302i 0.536206 0.339076i
\(146\) −8.75713 + 7.40553i −0.724745 + 0.612886i
\(147\) −7.31543 12.0229i −0.603367 0.991636i
\(148\) −0.864675 + 0.665467i −0.0710759 + 0.0547010i
\(149\) −1.34674 + 1.37019i −0.110330 + 0.112251i −0.766136 0.642678i \(-0.777823\pi\)
0.655807 + 0.754929i \(0.272329\pi\)
\(150\) −10.2107 + 3.80535i −0.833699 + 0.310705i
\(151\) −1.52806 5.05698i −0.124352 0.411531i 0.872700 0.488256i \(-0.162367\pi\)
−0.997052 + 0.0767249i \(0.975554\pi\)
\(152\) −0.454038 + 0.225126i −0.0368273 + 0.0182601i
\(153\) −0.710382 + 1.00425i −0.0574310 + 0.0811886i
\(154\) 0.0725434 0.157538i 0.00584571 0.0126947i
\(155\) −0.996135 + 0.903170i −0.0800115 + 0.0725444i
\(156\) −0.258323 + 0.616112i −0.0206824 + 0.0493285i
\(157\) 3.98703 + 4.77011i 0.318200 + 0.380696i 0.902390 0.430921i \(-0.141811\pi\)
−0.584190 + 0.811617i \(0.698588\pi\)
\(158\) −15.7740 11.5718i −1.25491 0.920602i
\(159\) 1.42585 + 12.9905i 0.113077 + 1.03022i
\(160\) 0.369796 0.607760i 0.0292349 0.0480477i
\(161\) 0.436726 + 2.78853i 0.0344189 + 0.219767i
\(162\) 9.39847 + 12.0676i 0.738413 + 0.948121i
\(163\) −3.95829 + 12.5751i −0.310037 + 0.984959i 0.661875 + 0.749614i \(0.269761\pi\)
−0.971912 + 0.235345i \(0.924378\pi\)
\(164\) 0.197545 + 0.361103i 0.0154257 + 0.0281974i
\(165\) 0.0403344 + 0.778194i 0.00314003 + 0.0605823i
\(166\) −13.2618 8.60148i −1.02932 0.667604i
\(167\) 0.172689 10.0033i 0.0133631 0.774080i −0.915220 0.402955i \(-0.867983\pi\)
0.928583 0.371125i \(-0.121028\pi\)
\(168\) 2.07182 0.263669i 0.159844 0.0203425i
\(169\) −5.24615 1.61822i −0.403550 0.124479i
\(170\) −1.17870 0.928939i −0.0904023 0.0712464i
\(171\) 0.207015 0.00953576i 0.0158308 0.000729218i
\(172\) −0.132346 + 1.08997i −0.0100913 + 0.0831091i
\(173\) −10.0799 + 6.70375i −0.766360 + 0.509677i −0.874834 0.484423i \(-0.839030\pi\)
0.108475 + 0.994099i \(0.465403\pi\)
\(174\) 13.8805 14.7880i 1.05228 1.12108i
\(175\) −0.761441 + 1.13075i −0.0575595 + 0.0854769i
\(176\) −0.889183 1.01539i −0.0670247 0.0765380i
\(177\) −0.121767 0.675416i −0.00915259 0.0507674i
\(178\) −0.824216 10.9984i −0.0617776 0.824365i
\(179\) −13.3274 3.77735i −0.996136 0.282332i −0.264766 0.964313i \(-0.585295\pi\)
−0.731370 + 0.681981i \(0.761119\pi\)
\(180\) −0.122679 + 0.0857258i −0.00914398 + 0.00638962i
\(181\) 0.519005 + 2.54226i 0.0385774 + 0.188964i 0.994513 0.104611i \(-0.0333598\pi\)
−0.955936 + 0.293576i \(0.905155\pi\)
\(182\) −0.293662 1.28662i −0.0217677 0.0953706i
\(183\) 0.910932 + 4.21401i 0.0673381 + 0.311509i
\(184\) 22.5476 + 6.11120i 1.66223 + 0.450524i
\(185\) 1.82769 + 9.50974i 0.134375 + 0.699170i
\(186\) −1.95974 + 2.98379i −0.143695 + 0.218782i
\(187\) 0.308006 0.209995i 0.0225236 0.0153563i
\(188\) 0.778330 0.0448333i 0.0567656 0.00326980i
\(189\) 1.24834 + 0.369385i 0.0908035 + 0.0268688i
\(190\) −0.00145474 + 0.252826i −0.000105538 + 0.0183420i
\(191\) −0.0592337 0.934627i −0.00428600 0.0676272i 0.995282 0.0970272i \(-0.0309334\pi\)
−0.999568 + 0.0294000i \(0.990640\pi\)
\(192\) 4.98325 16.4916i 0.359635 1.19018i
\(193\) −0.0917358 0.544661i −0.00660329 0.0392056i 0.982614 0.185658i \(-0.0594416\pi\)
−0.989218 + 0.146452i \(0.953215\pi\)
\(194\) 1.17293 + 9.65995i 0.0842115 + 0.693544i
\(195\) 3.85467 + 4.50536i 0.276039 + 0.322636i
\(196\) −0.600477 + 0.557162i −0.0428912 + 0.0397973i
\(197\) −0.177515 + 0.257174i −0.0126474 + 0.0183229i −0.829257 0.558868i \(-0.811236\pi\)
0.816609 + 0.577191i \(0.195851\pi\)
\(198\) 0.176246 + 0.559916i 0.0125252 + 0.0397915i
\(199\) 12.8592 13.3879i 0.911567 0.949042i −0.0873214 0.996180i \(-0.527831\pi\)
0.998888 + 0.0471385i \(0.0150102\pi\)
\(200\) 5.97543 + 9.57086i 0.422527 + 0.676762i
\(201\) −6.63929 + 4.30618i −0.468299 + 0.303734i
\(202\) −6.51457 8.98827i −0.458364 0.632413i
\(203\) 0.334808 2.51516i 0.0234989 0.176530i
\(204\) 0.230989 + 0.101571i 0.0161724 + 0.00711142i
\(205\) 3.65091 0.126091i 0.254991 0.00880654i
\(206\) −9.37155 20.9838i −0.652947 1.46201i
\(207\) −7.43430 5.99896i −0.516719 0.416956i
\(208\) −10.0741 1.99632i −0.698510 0.138420i
\(209\) −0.0597948 0.0192005i −0.00413609 0.00132813i
\(210\) 0.346961 0.982482i 0.0239426 0.0677977i
\(211\) 22.6496 2.61801i 1.55926 0.180231i 0.708474 0.705737i \(-0.249384\pi\)
0.850790 + 0.525505i \(0.176124\pi\)
\(212\) 0.724227 0.232554i 0.0497401 0.0159719i
\(213\) 0.487224 16.9310i 0.0333841 1.16009i
\(214\) 9.23353 2.16346i 0.631191 0.147891i
\(215\) 8.11410 + 5.39638i 0.553377 + 0.368030i
\(216\) 7.00487 8.18733i 0.476621 0.557077i
\(217\) 0.0179827 + 0.446236i 0.00122075 + 0.0302925i
\(218\) 5.94975 + 11.8281i 0.402968 + 0.801098i
\(219\) −8.04041 15.1078i −0.543321 1.02089i
\(220\) 0.0439094 0.0113602i 0.00296037 0.000765907i
\(221\) 0.882742 2.69567i 0.0593796 0.181331i
\(222\) 11.0214 + 23.2271i 0.739708 + 1.55890i
\(223\) 13.5212 + 17.7795i 0.905443 + 1.19060i 0.981107 + 0.193467i \(0.0619731\pi\)
−0.0756634 + 0.997133i \(0.524107\pi\)
\(224\) −0.0761139 0.223695i −0.00508557 0.0149463i
\(225\) −0.661397 4.56620i −0.0440931 0.304413i
\(226\) −0.221243 12.8158i −0.0147168 0.852497i
\(227\) −1.14472 + 1.83350i −0.0759777 + 0.121694i −0.884055 0.467383i \(-0.845197\pi\)
0.808077 + 0.589076i \(0.200508\pi\)
\(228\) −0.0104107 0.0412160i −0.000689468 0.00272959i
\(229\) −0.483848 4.93076i −0.0319736 0.325834i −0.997781 0.0665752i \(-0.978793\pi\)
0.965808 0.259259i \(-0.0834783\pi\)
\(230\) 7.77853 8.67902i 0.512901 0.572278i
\(231\) 0.206907 + 0.155481i 0.0136135 + 0.0102299i
\(232\) −17.8777 11.0192i −1.17373 0.723449i
\(233\) −9.04333 11.0761i −0.592448 0.725617i 0.388161 0.921592i \(-0.373111\pi\)
−0.980609 + 0.195974i \(0.937213\pi\)
\(234\) 3.66124 + 2.55840i 0.239343 + 0.167248i
\(235\) 2.74871 6.34990i 0.179306 0.414222i
\(236\) −0.0371001 + 0.0148076i −0.00241501 + 0.000963895i
\(237\) 21.8518 19.3590i 1.41942 1.25750i
\(238\) −0.487802 + 0.102513i −0.0316195 + 0.00664491i
\(239\) −3.28865 + 6.93069i −0.212725 + 0.448309i −0.981564 0.191134i \(-0.938784\pi\)
0.768839 + 0.639443i \(0.220835\pi\)
\(240\) −5.88003 5.58316i −0.379554 0.360391i
\(241\) 13.4236 18.5208i 0.864690 1.19303i −0.115171 0.993346i \(-0.536742\pi\)
0.979861 0.199683i \(-0.0639911\pi\)
\(242\) −0.771663 + 14.8881i −0.0496043 + 0.957043i
\(243\) −10.5438 + 5.07761i −0.676382 + 0.325729i
\(244\) 0.229712 0.101010i 0.0147058 0.00646650i
\(245\) 2.02267 + 6.98307i 0.129224 + 0.446132i
\(246\) 9.29993 2.75186i 0.592942 0.175452i
\(247\) −0.449671 + 0.161716i −0.0286119 + 0.0102898i
\(248\) 3.43302 + 1.37021i 0.217997 + 0.0870084i
\(249\) 16.7273 16.6313i 1.06005 1.05397i
\(250\) 12.8240 1.18394i 0.811062 0.0748791i
\(251\) −24.2558 + 18.2270i −1.53101 + 1.15048i −0.592327 + 0.805697i \(0.701791\pi\)
−0.938683 + 0.344782i \(0.887953\pi\)
\(252\) −0.00428492 + 0.0495238i −0.000269925 + 0.00311971i
\(253\) 1.47623 + 2.49028i 0.0928100 + 0.156563i
\(254\) 6.34473 16.7297i 0.398104 1.04971i
\(255\) 1.72656 1.42633i 0.108122 0.0893204i
\(256\) −2.83646 0.261868i −0.177279 0.0163668i
\(257\) −5.66662 + 3.49272i −0.353474 + 0.217870i −0.690009 0.723801i \(-0.742393\pi\)
0.336535 + 0.941671i \(0.390745\pi\)
\(258\) 24.4438 + 8.47440i 1.52180 + 0.527593i
\(259\) 2.81278 + 1.55986i 0.174778 + 0.0969248i
\(260\) 0.212055 0.272278i 0.0131511 0.0168860i
\(261\) 4.87834 + 7.06749i 0.301962 + 0.437467i
\(262\) −10.7748 2.39415i −0.665672 0.147911i
\(263\) 3.86667 0.674154i 0.238429 0.0415701i −0.0512822 0.998684i \(-0.516331\pi\)
0.289711 + 0.957114i \(0.406441\pi\)
\(264\) 1.87335 1.03888i 0.115297 0.0639389i
\(265\) 1.04456 6.66961i 0.0641671 0.409711i
\(266\) 0.0641207 + 0.0542242i 0.00393149 + 0.00332470i
\(267\) 16.3018 + 2.26557i 0.997656 + 0.138651i
\(268\) 0.322871 + 0.328493i 0.0197225 + 0.0200659i
\(269\) −7.37382 3.44708i −0.449590 0.210172i 0.185447 0.982654i \(-0.440627\pi\)
−0.635037 + 0.772482i \(0.719015\pi\)
\(270\) −2.07854 4.95743i −0.126496 0.301700i
\(271\) −1.19690 + 2.31275i −0.0727068 + 0.140490i −0.921686 0.387936i \(-0.873188\pi\)
0.848980 + 0.528426i \(0.177217\pi\)
\(272\) −0.819581 + 3.79142i −0.0496944 + 0.229889i
\(273\) 1.96922 0.0226621i 0.119182 0.00137157i
\(274\) 16.1997 0.186429i 0.978659 0.0112626i
\(275\) −0.295425 + 1.36665i −0.0178148 + 0.0824121i
\(276\) −0.900669 + 1.74034i −0.0542139 + 0.104756i
\(277\) −1.86240 4.44192i −0.111901 0.266889i 0.856563 0.516042i \(-0.172595\pi\)
−0.968464 + 0.249153i \(0.919848\pi\)
\(278\) −7.12507 3.33080i −0.427333 0.199768i
\(279\) −1.05954 1.07799i −0.0634328 0.0645373i
\(280\) −1.06861 0.148512i −0.0638619 0.00887531i
\(281\) −10.3939 8.78968i −0.620048 0.524348i 0.280078 0.959977i \(-0.409640\pi\)
−0.900126 + 0.435629i \(0.856526\pi\)
\(282\) 2.84237 18.1487i 0.169260 1.08074i
\(283\) −24.7915 + 13.7484i −1.47370 + 0.817255i −0.998052 0.0623802i \(-0.980131\pi\)
−0.475648 + 0.879635i \(0.657787\pi\)
\(284\) −0.971215 + 0.169331i −0.0576310 + 0.0100480i
\(285\) −0.368307 0.0818370i −0.0218166 0.00484760i
\(286\) −0.768920 1.11397i −0.0454672 0.0658706i
\(287\) 0.745531 0.957261i 0.0440073 0.0565053i
\(288\) 0.699380 + 0.387848i 0.0412113 + 0.0228542i
\(289\) 15.0498 + 5.21762i 0.885285 + 0.306919i
\(290\) −8.91902 + 5.49740i −0.523743 + 0.322818i
\(291\) −14.4596 1.33494i −0.847634 0.0782555i
\(292\) −0.767963 + 0.634421i −0.0449416 + 0.0371267i
\(293\) 5.77884 15.2375i 0.337603 0.890187i −0.653480 0.756944i \(-0.726692\pi\)
0.991083 0.133243i \(-0.0425392\pi\)
\(294\) 9.84236 + 16.6032i 0.574018 + 0.968321i
\(295\) −0.0305606 + 0.353210i −0.00177930 + 0.0205647i
\(296\) 21.2818 15.9922i 1.23698 0.929529i
\(297\) 1.32960 0.122752i 0.0771514 0.00712280i
\(298\) 1.86850 1.85778i 0.108239 0.107618i
\(299\) 20.4587 + 8.16561i 1.18316 + 0.472229i
\(300\) −0.890607 + 0.320291i −0.0514192 + 0.0184920i
\(301\) 3.10357 0.918348i 0.178887 0.0529327i
\(302\) 2.01572 + 6.95906i 0.115992 + 0.400449i
\(303\) 15.1641 6.66801i 0.871153 0.383067i
\(304\) 0.588774 0.283538i 0.0337685 0.0162620i
\(305\) 0.115280 2.22416i 0.00660090 0.127355i
\(306\) 0.990039 1.36598i 0.0565968 0.0780876i
\(307\) −23.7327 22.5344i −1.35449 1.28611i −0.923419 0.383793i \(-0.874618\pi\)
−0.431076 0.902316i \(-0.641866\pi\)
\(308\) 0.00645789 0.0136097i 0.000367972 0.000775485i
\(309\) 33.5612 7.05297i 1.90923 0.401229i
\(310\) 1.38031 1.22285i 0.0783966 0.0694533i
\(311\) −3.52473 + 1.40681i −0.199869 + 0.0797730i −0.468473 0.883478i \(-0.655196\pi\)
0.268604 + 0.963251i \(0.413438\pi\)
\(312\) 6.47512 14.9584i 0.366581 0.846852i
\(313\) −4.91051 3.43136i −0.277559 0.193952i 0.425742 0.904844i \(-0.360013\pi\)
−0.703301 + 0.710892i \(0.748291\pi\)
\(314\) −5.39238 6.60447i −0.304310 0.372712i
\(315\) 0.375567 + 0.231487i 0.0211608 + 0.0130428i
\(316\) −1.35841 1.02078i −0.0764168 0.0574235i
\(317\) 4.17561 4.65901i 0.234526 0.261676i −0.615836 0.787874i \(-0.711182\pi\)
0.850362 + 0.526199i \(0.176383\pi\)
\(318\) −1.75034 17.8372i −0.0981540 1.00026i
\(319\) −0.637340 2.52322i −0.0356842 0.141273i
\(320\) −4.71318 + 7.54911i −0.263475 + 0.422008i
\(321\) 0.244273 + 14.1499i 0.0136340 + 0.789770i
\(322\) −0.554901 3.83097i −0.0309234 0.213492i
\(323\) 0.0581401 + 0.170871i 0.00323500 + 0.00950753i
\(324\) 0.804200 + 1.05747i 0.0446778 + 0.0587484i
\(325\) 4.56094 + 9.61198i 0.252996 + 0.533177i
\(326\) 5.62670 17.1826i 0.311634 0.951654i
\(327\) −19.1280 + 4.94880i −1.05778 + 0.273669i
\(328\) −4.71800 8.86507i −0.260508 0.489491i
\(329\) −1.03272 2.05305i −0.0569359 0.113188i
\(330\) −0.0430317 1.06782i −0.00236882 0.0587816i
\(331\) −11.5068 + 13.4492i −0.632469 + 0.739233i −0.980123 0.198390i \(-0.936429\pi\)
0.347655 + 0.937623i \(0.386978\pi\)
\(332\) −1.14320 0.760298i −0.0627412 0.0417268i
\(333\) −10.5987 + 2.48333i −0.580805 + 0.136086i
\(334\) −0.394691 + 13.7154i −0.0215965 + 0.750475i
\(335\) 3.89219 1.24981i 0.212653 0.0682844i
\(336\) −2.67530 + 0.309231i −0.145949 + 0.0168699i
\(337\) −7.39833 + 20.9497i −0.403013 + 1.14120i 0.549180 + 0.835704i \(0.314940\pi\)
−0.952193 + 0.305498i \(0.901177\pi\)
\(338\) 7.16883 + 2.30196i 0.389933 + 0.125210i
\(339\) 18.7626 + 3.71808i 1.01904 + 0.201939i
\(340\) −0.101442 0.0818569i −0.00550149 0.00443932i
\(341\) 0.186791 + 0.418245i 0.0101153 + 0.0226492i
\(342\) −0.284043 + 0.00980990i −0.0153593 + 0.000530459i
\(343\) 4.46046 + 1.96137i 0.240842 + 0.105904i
\(344\) 3.53477 26.5540i 0.190582 1.43170i
\(345\) 10.2064 + 14.0820i 0.549496 + 0.758150i
\(346\) 13.9290 9.03418i 0.748826 0.485681i
\(347\) 6.43359 + 10.3047i 0.345373 + 0.553184i 0.974576 0.224056i \(-0.0719300\pi\)
−0.629203 + 0.777241i \(0.716619\pi\)
\(348\) 1.22031 1.27047i 0.0654153 0.0681045i
\(349\) −1.65166 5.24718i −0.0884115 0.280875i 0.899260 0.437414i \(-0.144106\pi\)
−0.987672 + 0.156539i \(0.949966\pi\)
\(350\) 1.06206 1.53865i 0.0567693 0.0822445i
\(351\) 7.44790 6.91064i 0.397540 0.368863i
\(352\) −0.157556 0.184152i −0.00839774 0.00981533i
\(353\) −1.44782 11.9239i −0.0770598 0.634645i −0.979156 0.203110i \(-0.934895\pi\)
0.902096 0.431535i \(-0.142028\pi\)
\(354\) 0.156328 + 0.928162i 0.00830872 + 0.0493312i
\(355\) −2.53089 + 8.37574i −0.134326 + 0.444538i
\(356\) −0.0605908 0.956041i −0.00321131 0.0506701i
\(357\) 0.00427984 0.743816i 0.000226513 0.0393669i
\(358\) 18.2171 + 5.39044i 0.962801 + 0.284893i
\(359\) −12.3443 + 0.711055i −0.651507 + 0.0375280i −0.380113 0.924940i \(-0.624115\pi\)
−0.271394 + 0.962468i \(0.587485\pi\)
\(360\) 3.01700 2.05696i 0.159010 0.108411i
\(361\) −10.4138 + 15.8555i −0.548096 + 0.834501i
\(362\) −0.671622 3.49454i −0.0352997 0.183669i
\(363\) −21.4721 5.81968i −1.12699 0.305454i
\(364\) −0.0242188 0.112037i −0.00126941 0.00587234i
\(365\) 1.96726 + 8.61913i 0.102971 + 0.451146i
\(366\) −1.18271 5.79331i −0.0618214 0.302821i
\(367\) −25.8927 + 18.0933i −1.35159 + 0.944462i −0.351623 + 0.936142i \(0.614370\pi\)
−0.999965 + 0.00832002i \(0.997352\pi\)
\(368\) −28.9821 8.21431i −1.51080 0.428201i
\(369\) 0.306880 + 4.09503i 0.0159755 + 0.213179i
\(370\) −2.35635 13.0701i −0.122501 0.679484i
\(371\) −1.47719 1.68686i −0.0766921 0.0875776i
\(372\) −0.173186 + 0.257185i −0.00897929 + 0.0133344i
\(373\) 7.73077 8.23623i 0.400284 0.426456i −0.497109 0.867688i \(-0.665605\pi\)
0.897393 + 0.441232i \(0.145458\pi\)
\(374\) −0.425701 + 0.283118i −0.0220125 + 0.0146397i
\(375\) −2.31649 + 19.0781i −0.119623 + 0.985186i
\(376\) −19.0010 + 0.875248i −0.979903 + 0.0451375i
\(377\) −15.5530 12.2574i −0.801019 0.631286i
\(378\) −1.70610 0.526262i −0.0877522 0.0270680i
\(379\) −31.7092 + 4.03547i −1.62879 + 0.207288i −0.886481 0.462766i \(-0.846857\pi\)
−0.742313 + 0.670054i \(0.766271\pi\)
\(380\) −0.000379042 0.0219567i −1.94445e−5 0.00112635i
\(381\) 22.4010 + 14.5290i 1.14764 + 0.744346i
\(382\) 0.0664806 + 1.28265i 0.00340144 + 0.0656259i
\(383\) 3.20248 + 5.85398i 0.163639 + 0.299124i 0.946280 0.323350i \(-0.104809\pi\)
−0.782641 + 0.622474i \(0.786128\pi\)
\(384\) −6.26711 + 19.9100i −0.319817 + 1.01603i
\(385\) −0.0821507 0.105481i −0.00418679 0.00537582i
\(386\) 0.117207 + 0.748375i 0.00596569 + 0.0380913i
\(387\) −5.69399 + 9.35809i −0.289442 + 0.475698i
\(388\) 0.0922146 + 0.840144i 0.00468149 + 0.0426519i
\(389\) 17.7983 + 13.0568i 0.902410 + 0.662007i 0.941422 0.337232i \(-0.109491\pi\)
−0.0390120 + 0.999239i \(0.512421\pi\)
\(390\) −5.21504 6.23931i −0.264074 0.315940i
\(391\) 3.21709 7.67293i 0.162695 0.388037i
\(392\) 14.8059 13.4241i 0.747811 0.678021i
\(393\) 6.88930 14.9610i 0.347519 0.754684i
\(394\) 0.247495 0.349877i 0.0124686 0.0176266i
\(395\) −13.5111 + 6.69922i −0.679818 + 0.337074i
\(396\) 0.0147474 + 0.0488052i 0.000741085 + 0.00245255i
\(397\) −7.54913 + 2.81343i −0.378880 + 0.141202i −0.531448 0.847091i \(-0.678352\pi\)
0.152568 + 0.988293i \(0.451246\pi\)
\(398\) −17.8459 + 18.1567i −0.894536 + 0.910112i
\(399\) −0.0993069 + 0.0764280i −0.00497156 + 0.00382619i
\(400\) −7.56266 12.4293i −0.378133 0.621463i
\(401\) 9.40416 7.95269i 0.469621 0.397139i −0.379621 0.925142i \(-0.623946\pi\)
0.849242 + 0.528003i \(0.177059\pi\)
\(402\) 9.17283 5.80054i 0.457499 0.289305i
\(403\) 3.06736 + 1.65517i 0.152796 + 0.0824499i
\(404\) −0.556810 0.787147i −0.0277023 0.0391620i
\(405\) 11.5917 2.15874i 0.575994 0.107269i
\(406\) −0.498837 + 3.44391i −0.0247569 + 0.170918i
\(407\) 3.27250 + 0.416474i 0.162212 + 0.0206439i
\(408\) −5.60677 2.54283i −0.277577 0.125889i
\(409\) −5.05388 + 10.0471i −0.249898 + 0.496796i −0.983066 0.183251i \(-0.941338\pi\)
0.733168 + 0.680048i \(0.238041\pi\)
\(410\) −5.00871 + 0.115297i −0.247363 + 0.00569414i
\(411\) −4.83577 + 23.6872i −0.238531 + 1.16840i
\(412\) −0.792951 1.83182i −0.0390659 0.0902474i
\(413\) 0.0835028 + 0.0830237i 0.00410890 + 0.00408533i
\(414\) 10.1004 + 8.34406i 0.496409 + 0.410088i
\(415\) −10.5875 + 6.03174i −0.519720 + 0.296086i
\(416\) −1.80468 0.379258i −0.0884818 0.0185947i
\(417\) 7.10472 9.34225i 0.347919 0.457492i
\(418\) 0.0816972 + 0.0272745i 0.00399594 + 0.00133404i
\(419\) 28.6274 + 2.31104i 1.39854 + 0.112902i 0.756612 0.653864i \(-0.226853\pi\)
0.641927 + 0.766766i \(0.278135\pi\)
\(420\) 0.0311157 0.0849823i 0.00151829 0.00414671i
\(421\) 0.831487 11.0954i 0.0405242 0.540758i −0.939587 0.342310i \(-0.888791\pi\)
0.980111 0.198448i \(-0.0635902\pi\)
\(422\) −31.1021 + 3.23278i −1.51403 + 0.157369i
\(423\) 7.25667 + 2.79996i 0.352832 + 0.136139i
\(424\) −17.7338 + 5.47015i −0.861230 + 0.265654i
\(425\) 3.65967 1.65976i 0.177520 0.0805102i
\(426\) −0.935363 + 23.2108i −0.0453185 + 1.12457i
\(427\) −0.542251 0.503136i −0.0262414 0.0243484i
\(428\) 0.804099 0.178669i 0.0388676 0.00863629i
\(429\) 1.86725 0.770294i 0.0901515 0.0371901i
\(430\) −11.0422 7.52844i −0.532502 0.363054i
\(431\) 6.66905 + 4.00543i 0.321237 + 0.192935i 0.666374 0.745617i \(-0.267845\pi\)
−0.345137 + 0.938552i \(0.612168\pi\)
\(432\) −9.15351 + 10.4527i −0.440399 + 0.502908i
\(433\) −0.0512266 0.193404i −0.00246179 0.00929441i 0.965424 0.260683i \(-0.0839478\pi\)
−0.967886 + 0.251389i \(0.919113\pi\)
\(434\) −0.0176184 0.612235i −0.000845708 0.0293882i
\(435\) −5.20622 14.7423i −0.249619 0.706841i
\(436\) 0.504917 + 1.03322i 0.0241811 + 0.0494823i
\(437\) −1.35286 + 0.366673i −0.0647162 + 0.0175404i
\(438\) 10.7879 + 20.8452i 0.515465 + 0.996022i
\(439\) 10.8376 12.9662i 0.517251 0.618842i −0.443494 0.896278i \(-0.646261\pi\)
0.960744 + 0.277436i \(0.0894845\pi\)
\(440\) −1.07442 + 0.264821i −0.0512210 + 0.0126248i
\(441\) −7.75189 + 2.58796i −0.369137 + 0.123236i
\(442\) −1.25310 + 3.68281i −0.0596039 + 0.175173i
\(443\) −19.6313 3.65597i −0.932710 0.173700i −0.305182 0.952294i \(-0.598717\pi\)
−0.627528 + 0.778594i \(0.715933\pi\)
\(444\) 0.933999 + 2.02830i 0.0443256 + 0.0962590i
\(445\) −7.82175 3.33253i −0.370786 0.157977i
\(446\) −18.2618 24.5954i −0.864721 1.16463i
\(447\) 2.12057 + 3.31109i 0.100300 + 0.156609i
\(448\) 0.919890 + 2.80911i 0.0434607 + 0.132718i
\(449\) −26.4105 + 25.0770i −1.24639 + 1.18346i −0.271091 + 0.962554i \(0.587384\pi\)
−0.975295 + 0.220904i \(0.929099\pi\)
\(450\) 0.834950 + 6.27234i 0.0393599 + 0.295681i
\(451\) 0.346233 1.19533i 0.0163035 0.0562861i
\(452\) −0.00640572 1.11328i −0.000301300 0.0523644i
\(453\) −10.7858 + 0.745905i −0.506763 + 0.0350457i
\(454\) 1.59876 2.49632i 0.0750335 0.117158i
\(455\) −0.984891 0.254811i −0.0461724 0.0119457i
\(456\) 0.242413 + 1.00844i 0.0113520 + 0.0472247i
\(457\) −34.2247 + 24.5064i −1.60096 + 1.14636i −0.698489 + 0.715621i \(0.746144\pi\)
−0.902475 + 0.430742i \(0.858252\pi\)
\(458\) 0.585713 + 6.76950i 0.0273686 + 0.316318i
\(459\) −2.56123 2.85773i −0.119548 0.133387i
\(460\) 0.684244 0.746003i 0.0319030 0.0347826i
\(461\) 1.65814 15.1069i 0.0772274 0.703600i −0.891081 0.453844i \(-0.850052\pi\)
0.968309 0.249756i \(-0.0803505\pi\)
\(462\) −0.281291 0.216486i −0.0130868 0.0100718i
\(463\) −13.2476 + 1.84111i −0.615669 + 0.0855636i −0.438671 0.898648i \(-0.644551\pi\)
−0.176998 + 0.984211i \(0.556639\pi\)
\(464\) 22.8879 + 14.4734i 1.06254 + 0.671911i
\(465\) 1.34841 + 2.39885i 0.0625310 + 0.111244i
\(466\) 12.2269 + 15.3320i 0.566399 + 0.710242i
\(467\) −12.3619 + 20.8536i −0.572042 + 0.964988i 0.426136 + 0.904659i \(0.359874\pi\)
−0.998179 + 0.0603292i \(0.980785\pi\)
\(468\) 0.315423 + 0.225858i 0.0145804 + 0.0104403i
\(469\) 0.510555 1.25811i 0.0235752 0.0580939i
\(470\) −3.86969 + 8.66462i −0.178496 + 0.399669i
\(471\) 11.3333 5.78281i 0.522210 0.266458i
\(472\) 0.909266 0.350836i 0.0418523 0.0161486i
\(473\) 2.60728 2.05480i 0.119883 0.0944800i
\(474\) −30.2722 + 26.2033i −1.39045 + 1.20356i
\(475\) −0.599440 0.314610i −0.0275042 0.0144353i
\(476\) −0.0424683 + 0.00841573i −0.00194653 + 0.000385734i
\(477\) 7.53865 + 0.871372i 0.345171 + 0.0398974i
\(478\) 4.61931 9.45258i 0.211282 0.432351i
\(479\) 1.68585 8.77170i 0.0770284 0.400789i −0.922849 0.385161i \(-0.874146\pi\)
0.999878 0.0156285i \(-0.00497491\pi\)
\(480\) −1.04423 1.01461i −0.0476624 0.0463105i
\(481\) 21.6661 12.6757i 0.987890 0.577963i
\(482\) −18.7009 + 25.1868i −0.851802 + 1.14723i
\(483\) 5.76270 + 0.398525i 0.262212 + 0.0181335i
\(484\) −0.0818998 + 1.29227i −0.00372272 + 0.0587395i
\(485\) 7.02897 + 2.61958i 0.319169 + 0.118949i
\(486\) 14.5394 6.79683i 0.659522 0.308311i
\(487\) −4.77873 4.33276i −0.216545 0.196336i 0.556207 0.831044i \(-0.312256\pi\)
−0.772752 + 0.634708i \(0.781121\pi\)
\(488\) −5.63250 + 2.39978i −0.254971 + 0.108633i
\(489\) 23.2879 + 13.6245i 1.05312 + 0.616123i
\(490\) −2.66361 9.60823i −0.120329 0.434056i
\(491\) −7.77491 21.2346i −0.350877 0.958303i −0.983028 0.183458i \(-0.941271\pi\)
0.632151 0.774845i \(-0.282172\pi\)
\(492\) 0.810455 0.229705i 0.0365381 0.0103559i
\(493\) −4.73034 + 5.79362i −0.213044 + 0.260932i
\(494\) 0.619214 0.214675i 0.0278598 0.00965868i
\(495\) 0.445775 + 0.0777209i 0.0200361 + 0.00349329i
\(496\) −4.40618 1.81768i −0.197843 0.0816162i
\(497\) 1.59539 + 2.42905i 0.0715630 + 0.108958i
\(498\) −23.2016 + 22.5435i −1.03969 + 1.01020i
\(499\) −0.722700 + 2.60694i −0.0323525 + 0.116703i −0.978064 0.208304i \(-0.933206\pi\)
0.945712 + 0.325007i \(0.105367\pi\)
\(500\) 1.11496 0.0900086i 0.0498624 0.00402531i
\(501\) −19.8805 4.90011i −0.888196 0.218921i
\(502\) 33.5511 24.6130i 1.49746 1.09853i
\(503\) 1.72370 + 1.87927i 0.0768558 + 0.0837927i 0.774189 0.632954i \(-0.218158\pi\)
−0.697334 + 0.716747i \(0.745630\pi\)
\(504\) 0.118441 1.20700i 0.00527577 0.0537640i
\(505\) −8.46170 + 1.27540i −0.376541 + 0.0567544i
\(506\) −1.98515 3.43838i −0.0882506 0.152855i
\(507\) −5.61788 + 9.73045i −0.249499 + 0.432145i
\(508\) 0.567764 1.44664i 0.0251905 0.0641843i
\(509\) 37.4056 19.6320i 1.65797 0.870171i 0.665682 0.746235i \(-0.268141\pi\)
0.992290 0.123936i \(-0.0395517\pi\)
\(510\) −2.39025 + 1.92877i −0.105842 + 0.0854073i
\(511\) 2.61555 + 1.33458i 0.115705 + 0.0590385i
\(512\) 24.1745 + 2.51272i 1.06837 + 0.111048i
\(513\) −0.114705 + 0.636244i −0.00506436 + 0.0280909i
\(514\) 7.82610 4.70035i 0.345195 0.207324i
\(515\) −17.6863 1.01877i −0.779353 0.0448922i
\(516\) 2.11449 + 0.760437i 0.0930851 + 0.0334764i
\(517\) −1.76434 1.56307i −0.0775958 0.0687439i
\(518\) −3.83272 2.18352i −0.168400 0.0959383i
\(519\) 8.78526 + 23.1648i 0.385630 + 1.01682i
\(520\) −5.24982 + 6.58306i −0.230220 + 0.288686i
\(521\) 8.52814 + 1.38596i 0.373625 + 0.0607199i 0.344324 0.938851i \(-0.388108\pi\)
0.0293003 + 0.999571i \(0.490672\pi\)
\(522\) −6.57843 9.76908i −0.287930 0.427581i
\(523\) 4.35723 16.4506i 0.190528 0.719333i −0.802000 0.597323i \(-0.796231\pi\)
0.992529 0.122010i \(-0.0389339\pi\)
\(524\) −0.933408 0.218702i −0.0407761 0.00955405i
\(525\) 1.90938 + 2.03422i 0.0833320 + 0.0887805i
\(526\) −5.31324 + 0.863486i −0.231668 + 0.0376498i
\(527\) 0.645067 1.14759i 0.0280995 0.0499897i
\(528\) −2.43090 + 1.31173i −0.105791 + 0.0570858i
\(529\) 37.2813 + 18.4852i 1.62092 + 0.803704i
\(530\) −1.53773 + 9.12996i −0.0667949 + 0.396580i
\(531\) −0.398111 0.0183383i −0.0172766 0.000795814i
\(532\) 0.00551472 + 0.00477349i 0.000239094 + 0.000206957i
\(533\) −3.45952 8.81472i −0.149849 0.381808i
\(534\) −22.3200 3.36419i −0.965879 0.145583i
\(535\) 1.79035 7.08798i 0.0774037 0.306440i
\(536\) −7.78465 8.10468i −0.336246 0.350069i
\(537\) −13.6061 + 24.8713i −0.587147 + 1.07328i
\(538\) 10.0578 + 4.84357i 0.433621 + 0.208821i
\(539\) 2.47517 + 0.0854844i 0.106613 + 0.00368207i
\(540\) −0.175568 0.432633i −0.00755523 0.0186176i
\(541\) −6.82463 + 28.3906i −0.293414 + 1.22061i 0.610196 + 0.792251i \(0.291091\pi\)
−0.903609 + 0.428358i \(0.859092\pi\)
\(542\) 1.67789 3.15273i 0.0720714 0.135421i
\(543\) 5.30880 + 0.122205i 0.227823 + 0.00524434i
\(544\) −0.154991 + 0.679060i −0.00664518 + 0.0291145i
\(545\) 10.2058 + 0.117450i 0.437167 + 0.00503099i
\(546\) −2.70087 −0.115586
\(547\) −11.9417 20.1096i −0.510591 0.859824i
\(548\) 1.40714 0.0601099
\(549\) 2.50341 + 0.0288096i 0.106843 + 0.00122957i
\(550\) 0.426703 1.86951i 0.0181947 0.0797161i
\(551\) 1.25972 + 0.0289980i 0.0536659 + 0.00123536i
\(552\) 22.4617 42.2052i 0.956032 1.79637i
\(553\) −1.17070 + 4.87016i −0.0497834 + 0.207100i
\(554\) 2.48392 + 6.12087i 0.105532 + 0.260051i
\(555\) 19.8067 + 0.684058i 0.840747 + 0.0290366i
\(556\) −0.615487 0.296403i −0.0261025 0.0125703i
\(557\) 9.02382 16.4951i 0.382352 0.698921i −0.613521 0.789678i \(-0.710248\pi\)
0.995873 + 0.0907576i \(0.0289289\pi\)
\(558\) 1.43600 + 1.49503i 0.0607905 + 0.0632896i
\(559\) 6.18604 24.4905i 0.261642 1.03584i
\(560\) 1.37566 + 0.207347i 0.0581323 + 0.00876203i
\(561\) −0.278726 0.710181i −0.0117678 0.0299839i
\(562\) 14.1151 + 12.2179i 0.595409 + 0.515379i
\(563\) 8.15231 + 0.375521i 0.343579 + 0.0158263i 0.217118 0.976145i \(-0.430334\pi\)
0.126460 + 0.991972i \(0.459638\pi\)
\(564\) 0.265000 1.57338i 0.0111585 0.0662514i
\(565\) −8.85236 4.38927i −0.372422 0.184658i
\(566\) 34.2151 18.4627i 1.43817 0.776046i
\(567\) 1.91895 3.41386i 0.0805885 0.143368i
\(568\) 23.7417 3.85840i 0.996178 0.161895i
\(569\) 12.2001 + 12.9978i 0.511454 + 0.544894i 0.932039 0.362359i \(-0.118029\pi\)
−0.420585 + 0.907253i \(0.638175\pi\)
\(570\) 0.503790 + 0.118041i 0.0211015 + 0.00494418i
\(571\) −3.36364 + 12.6993i −0.140764 + 0.531450i 0.859045 + 0.511900i \(0.171058\pi\)
−0.999809 + 0.0195494i \(0.993777\pi\)
\(572\) −0.0656677 0.0975176i −0.00274570 0.00407742i
\(573\) −1.89179 0.307446i −0.0790308 0.0128438i
\(574\) −1.03750 + 1.30098i −0.0433044 + 0.0543020i
\(575\) 11.0661 + 29.1788i 0.461487 + 1.21684i
\(576\) −8.69255 4.95218i −0.362190 0.206341i
\(577\) 27.7877 + 24.6177i 1.15682 + 1.02485i 0.999303 + 0.0373324i \(0.0118860\pi\)
0.157513 + 0.987517i \(0.449652\pi\)
\(578\) −20.5564 7.39276i −0.855035 0.307498i
\(579\) −1.12851 0.0650046i −0.0468994 0.00270150i
\(580\) −0.780116 + 0.468537i −0.0323925 + 0.0194549i
\(581\) −0.718060 + 3.98292i −0.0297902 + 0.165239i
\(582\) 19.8082 + 2.05888i 0.821077 + 0.0853434i
\(583\) −2.04852 1.04526i −0.0848410 0.0432901i
\(584\) 18.9136 15.2620i 0.782652 0.631545i
\(585\) 3.04873 1.60010i 0.126049 0.0661559i
\(586\) −8.16535 + 20.8050i −0.337308 + 0.859446i
\(587\) −11.3405 + 19.6424i −0.468074 + 0.810728i −0.999334 0.0364808i \(-0.988385\pi\)
0.531260 + 0.847209i \(0.321719\pi\)
\(588\) 0.838219 + 1.45184i 0.0345676 + 0.0598728i
\(589\) −0.219305 + 0.0330550i −0.00903632 + 0.00136201i
\(590\) 0.0474839 0.483896i 0.00195488 0.0199217i
\(591\) 0.432287 + 0.471304i 0.0177819 + 0.0193869i
\(592\) −27.6779 + 20.3045i −1.13755 + 0.834508i
\(593\) −18.2282 4.49285i −0.748542 0.184499i −0.153450 0.988156i \(-0.549038\pi\)
−0.595092 + 0.803657i \(0.702884\pi\)
\(594\) −1.82530 + 0.147354i −0.0748931 + 0.00604600i
\(595\) −0.102649 + 0.370280i −0.00420822 + 0.0151800i
\(596\) 0.164137 0.159481i 0.00672330 0.00653261i
\(597\) −20.8561 31.7543i −0.853582 1.29962i
\(598\) −27.9274 11.5209i −1.14204 0.471124i
\(599\) −26.4058 4.60385i −1.07891 0.188108i −0.395737 0.918364i \(-0.629511\pi\)
−0.683174 + 0.730255i \(0.739401\pi\)
\(600\) 21.8175 7.56390i 0.890696 0.308795i
\(601\) −3.36060 + 4.11599i −0.137082 + 0.167895i −0.838584 0.544773i \(-0.816616\pi\)
0.701502 + 0.712668i \(0.252513\pi\)
\(602\) −4.27061 + 1.21041i −0.174057 + 0.0493325i
\(603\) 1.57997 + 4.31517i 0.0643414 + 0.175727i
\(604\) 0.168111 + 0.606413i 0.00684032 + 0.0246746i
\(605\) 9.91928 + 5.80325i 0.403276 + 0.235936i
\(606\) −20.9006 + 8.90493i −0.849030 + 0.361738i
\(607\) 22.9903 + 20.8447i 0.933147 + 0.846061i 0.988316 0.152416i \(-0.0487055\pi\)
−0.0551695 + 0.998477i \(0.517570\pi\)
\(608\) 0.106301 0.0496930i 0.00431107 0.00201532i
\(609\) −4.86591 1.81344i −0.197177 0.0734843i
\(610\) −0.193192 + 3.04830i −0.00782210 + 0.123422i
\(611\) −17.8930 1.23741i −0.723874 0.0500602i
\(612\) 0.0873507 0.117646i 0.00353094 0.00475556i
\(613\) −10.5280 + 6.15938i −0.425222 + 0.248775i −0.702026 0.712151i \(-0.747721\pi\)
0.276804 + 0.960926i \(0.410725\pi\)
\(614\) 32.1904 + 31.2774i 1.29910 + 1.26225i
\(615\) 1.41106 7.34192i 0.0568993 0.296055i
\(616\) −0.161370 + 0.330215i −0.00650179 + 0.0133047i
\(617\) −5.41992 0.626474i −0.218198 0.0252209i 0.00502947 0.999987i \(-0.498399\pi\)
−0.223227 + 0.974766i \(0.571659\pi\)
\(618\) −46.1359 + 9.14251i −1.85586 + 0.367766i
\(619\) 24.6121 + 12.9175i 0.989246 + 0.519196i 0.880079 0.474827i \(-0.157489\pi\)
0.109167 + 0.994023i \(0.465182\pi\)
\(620\) 0.121103 0.104826i 0.00486362 0.00420990i
\(621\) 23.4063 18.4466i 0.939264 0.740237i
\(622\) 4.85588 1.87362i 0.194703 0.0751254i
\(623\) −2.51534 + 1.28345i −0.100775 + 0.0514205i
\(624\) −8.57093 + 19.1912i −0.343112 + 0.768261i
\(625\) −3.56622 + 8.78785i −0.142649 + 0.351514i
\(626\) 6.67993 + 4.78314i 0.266984 + 0.191173i
\(627\) −0.0655407 + 0.110562i −0.00261744 + 0.00441541i
\(628\) −0.461730 0.578991i −0.0184250 0.0231043i
\(629\) −4.64569 8.26478i −0.185236 0.329538i
\(630\) −0.511384 0.323380i −0.0203740 0.0128838i
\(631\) −35.4597 + 4.92806i −1.41163 + 0.196183i −0.802388 0.596803i \(-0.796437\pi\)
−0.609240 + 0.792986i \(0.708525\pi\)
\(632\) 32.8538 + 25.2848i 1.30685 + 1.00577i
\(633\) 5.09113 46.3840i 0.202354 1.84360i
\(634\) −5.79980 + 6.32328i −0.230339 + 0.251130i
\(635\) −9.20549 10.2712i −0.365309 0.407599i
\(636\) −0.134190 1.55092i −0.00532096 0.0614981i
\(637\) 15.3221 10.9713i 0.607085 0.434700i
\(638\) 0.834202 + 3.47030i 0.0330264 + 0.137391i
\(639\) −9.52226 2.46360i −0.376695 0.0974584i
\(640\) 5.81524 9.07999i 0.229868 0.358918i
\(641\) −34.7128 + 2.40060i −1.37107 + 0.0948179i −0.735659 0.677353i \(-0.763127\pi\)
−0.635415 + 0.772170i \(0.719171\pi\)
\(642\) −0.111674 19.4085i −0.00440744 0.765991i
\(643\) −2.51502 + 8.68287i −0.0991829 + 0.342419i −0.994728 0.102553i \(-0.967299\pi\)
0.895545 + 0.444972i \(0.146786\pi\)
\(644\) −0.0443645 0.333276i −0.00174820 0.0131329i
\(645\) 14.4623 13.7322i 0.569454 0.540703i
\(646\) −0.0770344 0.235244i −0.00303088 0.00925554i
\(647\) 9.63742 + 15.0480i 0.378886 + 0.591597i 0.977883 0.209154i \(-0.0670711\pi\)
−0.598997 + 0.800752i \(0.704434\pi\)
\(648\) −19.3227 26.0243i −0.759067 1.02233i
\(649\) 0.111110 + 0.0473396i 0.00436146 + 0.00185824i
\(650\) −6.10300 13.2535i −0.239380 0.519844i
\(651\) 0.898544 + 0.167338i 0.0352167 + 0.00655848i
\(652\) 0.505856 1.48669i 0.0198109 0.0582233i
\(653\) 20.4596 6.83042i 0.800646 0.267295i 0.113239 0.993568i \(-0.463877\pi\)
0.687407 + 0.726273i \(0.258749\pi\)
\(654\) 26.3095 6.48472i 1.02878 0.253572i
\(655\) −5.45668 + 6.52840i −0.213210 + 0.255086i
\(656\) 5.95181 + 11.5006i 0.232379 + 0.449021i
\(657\) −9.59203 + 2.59978i −0.374221 + 0.101427i
\(658\) 1.38384 + 2.83177i 0.0539476 + 0.110394i
\(659\) −9.46757 26.8091i −0.368804 1.04433i −0.969550 0.244894i \(-0.921247\pi\)
0.600746 0.799440i \(-0.294871\pi\)
\(660\) −0.00267005 0.0927839i −0.000103932 0.00361161i
\(661\) −8.48727 32.0434i −0.330117 1.24634i −0.904045 0.427438i \(-0.859416\pi\)
0.573928 0.818906i \(-0.305419\pi\)
\(662\) 15.9922 18.2621i 0.621553 0.709775i
\(663\) −4.97655 2.98891i −0.193273 0.116080i
\(664\) 27.6765 + 18.8695i 1.07405 + 0.732278i
\(665\) 0.0598413 0.0246863i 0.00232055 0.000957294i
\(666\) 14.5738 3.23827i 0.564724 0.125480i
\(667\) −42.5788 39.5074i −1.64866 1.52973i
\(668\) −0.0479875 + 1.19080i −0.00185669 + 0.0460734i
\(669\) 41.6321 18.8813i 1.60959 0.729993i
\(670\) −5.35732 + 1.65251i −0.206971 + 0.0638422i
\(671\) −0.707839 0.273117i −0.0273258 0.0105436i
\(672\) −0.480992 + 0.0499947i −0.0185547 + 0.00192859i
\(673\) −0.147655 + 1.97032i −0.00569169 + 0.0759504i −0.999326 0.0367007i \(-0.988315\pi\)
0.993635 + 0.112651i \(0.0359342\pi\)
\(674\) 10.4764 28.6128i 0.403536 1.10212i
\(675\) 14.3470 + 1.15821i 0.552216 + 0.0445795i
\(676\) 0.620316 + 0.207092i 0.0238583 + 0.00796507i
\(677\) −27.7326 + 36.4666i −1.06585 + 1.40153i −0.155429 + 0.987847i \(0.549676\pi\)
−0.910423 + 0.413679i \(0.864243\pi\)
\(678\) −25.6716 5.39494i −0.985912 0.207192i
\(679\) 2.16479 1.23329i 0.0830768 0.0473292i
\(680\) 2.45185 + 2.02549i 0.0940240 + 0.0776742i
\(681\) 3.13699 + 3.11899i 0.120210 + 0.119520i
\(682\) −0.249558 0.576512i −0.00955607 0.0220758i
\(683\) 8.66535 42.4457i 0.331570 1.62414i −0.382424 0.923987i \(-0.624911\pi\)
0.713994 0.700152i \(-0.246884\pi\)
\(684\) −0.0246791 0.000568097i −0.000943627 2.17217e-5i
\(685\) 5.61203 11.1567i 0.214424 0.426275i
\(686\) −6.08595 2.76014i −0.232363 0.105383i
\(687\) −10.0585 1.28009i −0.383755 0.0488385i
\(688\) −4.95173 + 34.1861i −0.188783 + 1.30333i
\(689\) −17.2035 + 3.20384i −0.655401 + 0.122057i
\(690\) −13.7745 19.4726i −0.524385 0.741309i
\(691\) 3.77004 + 2.03435i 0.143419 + 0.0773902i 0.545012 0.838428i \(-0.316525\pi\)
−0.401593 + 0.915818i \(0.631543\pi\)
\(692\) 1.21877 0.770702i 0.0463306 0.0292977i
\(693\) 0.114759 0.0970468i 0.00435933 0.00368650i
\(694\) −8.66015 14.2330i −0.328735 0.540277i
\(695\) −4.80479 + 3.69784i −0.182256 + 0.140267i
\(696\) −30.1278 + 30.6523i −1.14199 + 1.16187i
\(697\) −3.35141 + 1.24901i −0.126944 + 0.0473097i
\(698\) 2.18222 + 7.22184i 0.0825981 + 0.273351i
\(699\) −26.2179 + 12.9997i −0.991653 + 0.491692i
\(700\) 0.0937780 0.132571i 0.00354447 0.00501073i
\(701\) −15.8906 + 34.5086i −0.600180 + 1.30337i 0.332648 + 0.943051i \(0.392058\pi\)
−0.932829 + 0.360320i \(0.882668\pi\)
\(702\) −10.3228 + 9.35945i −0.389610 + 0.353250i
\(703\) −0.617604 + 1.47302i −0.0232934 + 0.0555558i
\(704\) 1.94432 + 2.32620i 0.0732793 + 0.0876718i
\(705\) −11.4179 8.37615i −0.430022 0.315464i
\(706\) 1.79731 + 16.3748i 0.0676425 + 0.616274i
\(707\) −1.47737 + 2.42806i −0.0555621 + 0.0913165i
\(708\) 0.0126495 + 0.0807676i 0.000475395 + 0.00303543i
\(709\) −13.3247 17.1088i −0.500418 0.642536i 0.470371 0.882469i \(-0.344120\pi\)
−0.970789 + 0.239933i \(0.922875\pi\)
\(710\) 3.60295 11.4462i 0.135216 0.429569i
\(711\) −8.13618 14.8726i −0.305131 0.557764i
\(712\) 1.20978 + 23.3410i 0.0453385 + 0.874739i
\(713\) 8.57730 + 5.56315i 0.321222 + 0.208342i
\(714\) −0.0176080 + 1.01997i −0.000658963 + 0.0381715i
\(715\) −1.03508 + 0.131729i −0.0387098 + 0.00492640i
\(716\) 1.57677 + 0.486370i 0.0589268 + 0.0181765i
\(717\) 12.3308 + 9.71796i 0.460503 + 0.362924i
\(718\) 16.9397 0.780297i 0.632184 0.0291204i
\(719\) 2.41967 19.9278i 0.0902385 0.743181i −0.875420 0.483364i \(-0.839415\pi\)
0.965658 0.259817i \(-0.0836621\pi\)
\(720\) −3.92062 + 2.60746i −0.146113 + 0.0971741i
\(721\) −4.02691 + 4.29020i −0.149970 + 0.159776i
\(722\) 14.5313 21.5793i 0.540801 0.803098i
\(723\) −30.8405 35.2179i −1.14697 1.30977i
\(724\) −0.0548380 0.304174i −0.00203804 0.0113045i
\(725\) −2.09646 27.9753i −0.0778606 1.03898i
\(726\) 29.3541 + 8.31976i 1.08943 + 0.308775i
\(727\) 0.907136 0.633888i 0.0336438 0.0235096i −0.555848 0.831284i \(-0.687606\pi\)
0.589492 + 0.807774i \(0.299328\pi\)
\(728\) 0.559395 + 2.74010i 0.0207326 + 0.101555i
\(729\) −2.11583 9.27006i −0.0783641 0.343336i
\(730\) −2.56180 11.8510i −0.0948164 0.438625i
\(731\) −9.20841 2.49580i −0.340585 0.0923106i
\(732\) −0.0969288 0.504334i −0.00358259 0.0186407i
\(733\) 7.12996 10.8557i 0.263351 0.400964i −0.679764 0.733431i \(-0.737918\pi\)
0.943115 + 0.332467i \(0.107881\pi\)
\(734\) 35.7938 24.4038i 1.32117 0.900761i
\(735\) 14.8541 0.855626i 0.547903 0.0315602i
\(736\) −5.18679 1.53477i −0.191188 0.0565726i
\(737\) 0.00801275 1.39258i 0.000295153 0.0512963i
\(738\) −0.356216 5.62060i −0.0131125 0.206897i
\(739\) −5.35575 + 17.7243i −0.197014 + 0.652000i 0.801525 + 0.597962i \(0.204023\pi\)
−0.998539 + 0.0540386i \(0.982791\pi\)
\(740\) −0.191587 1.13750i −0.00704286 0.0418155i
\(741\) 0.117883 + 0.970855i 0.00433054 + 0.0356652i
\(742\) 1.99914 + 2.33661i 0.0733909 + 0.0857797i
\(743\) −18.3688 + 17.0438i −0.673887 + 0.625275i −0.941007 0.338388i \(-0.890118\pi\)
0.267120 + 0.963663i \(0.413928\pi\)
\(744\) 4.29733 6.22575i 0.157548 0.228247i
\(745\) −0.609849 1.93743i −0.0223431 0.0709820i
\(746\) −10.7317 + 11.1728i −0.392914 + 0.409067i
\(747\) −7.25412 11.6189i −0.265414 0.425115i
\(748\) −0.0372553